Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(263,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 8, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.263");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.bd (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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 527.9 | ||
Character | \(\chi\) | \(=\) | 770.527 |
Dual form | 770.2.bd.a.263.9 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | −0.886001 | − | 0.237403i | −0.511533 | − | 0.137065i | −0.00618575 | − | 0.999981i | \(-0.501969\pi\) |
−0.505347 | + | 0.862916i | \(0.668636\pi\) | |||||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | −1.83005 | − | 1.28488i | −0.818423 | − | 0.574617i | ||||
\(6\) | 0.917256i | 0.374468i | ||||||||
\(7\) | 2.44857 | + | 1.00226i | 0.925471 | + | 0.378819i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −1.86944 | − | 1.07932i | −0.623146 | − | 0.359773i | ||||
\(10\) | −0.767449 | + | 2.10024i | −0.242689 | + | 0.664155i | ||||
\(11\) | 1.44099 | + | 2.98723i | 0.434474 | + | 0.900684i | ||||
\(12\) | 0.886001 | − | 0.237403i | 0.255767 | − | 0.0685325i | ||||
\(13\) | −2.12323 | − | 2.12323i | −0.588878 | − | 0.588878i | 0.348449 | − | 0.937328i | \(-0.386708\pi\) |
−0.937328 | + | 0.348449i | \(0.886708\pi\) | |||||||
\(14\) | 0.334373 | − | 2.62454i | 0.0893650 | − | 0.701437i | ||||
\(15\) | 1.31639 | + | 1.57287i | 0.339891 | + | 0.406113i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −5.54661 | − | 1.48621i | −1.34525 | − | 0.360459i | −0.486872 | − | 0.873474i | \(-0.661862\pi\) |
−0.858380 | + | 0.513015i | \(0.828529\pi\) | |||||||
\(18\) | −0.558697 | + | 2.08509i | −0.131686 | + | 0.491460i | ||||
\(19\) | −1.63705 | + | 2.83546i | −0.375566 | + | 0.650499i | −0.990412 | − | 0.138149i | \(-0.955885\pi\) |
0.614846 | + | 0.788647i | \(0.289218\pi\) | |||||||
\(20\) | 2.22731 | + | 0.197716i | 0.498042 | + | 0.0442107i | ||||
\(21\) | −1.93149 | − | 1.46930i | −0.421486 | − | 0.320628i | ||||
\(22\) | 2.51249 | − | 2.16504i | 0.535664 | − | 0.461588i | ||||
\(23\) | 1.48880 | + | 5.55626i | 0.310435 | + | 1.15856i | 0.928165 | + | 0.372170i | \(0.121386\pi\) |
−0.617730 | + | 0.786391i | \(0.711947\pi\) | |||||||
\(24\) | −0.458628 | − | 0.794367i | −0.0936171 | − | 0.162150i | ||||
\(25\) | 1.69816 | + | 4.70279i | 0.339631 | + | 0.940559i | ||||
\(26\) | −1.50135 | + | 2.60042i | −0.294439 | + | 0.509983i | ||||
\(27\) | 3.34588 | + | 3.34588i | 0.643916 | + | 0.643916i | ||||
\(28\) | −2.62165 | + | 0.356300i | −0.495445 | + | 0.0673344i | ||||
\(29\) | −1.08921 | −0.202261 | −0.101130 | − | 0.994873i | \(-0.532246\pi\) | ||||
−0.101130 | + | 0.994873i | \(0.532246\pi\) | |||||||
\(30\) | 1.17857 | − | 1.67862i | 0.215176 | − | 0.306473i | ||||
\(31\) | 0.726592 | + | 1.25849i | 0.130500 | + | 0.226032i | 0.923869 | − | 0.382708i | \(-0.125008\pi\) |
−0.793370 | + | 0.608740i | \(0.791675\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | −0.567539 | − | 2.98879i | −0.0987959 | − | 0.520281i | ||||
\(34\) | 5.74228i | 0.984792i | ||||||||
\(35\) | −3.19321 | − | 4.98030i | −0.539751 | − | 0.841825i | ||||
\(36\) | 2.15864 | 0.359773 | ||||||||
\(37\) | 5.52706 | − | 1.48097i | 0.908643 | − | 0.243470i | 0.225919 | − | 0.974146i | \(-0.427462\pi\) |
0.682725 | + | 0.730676i | \(0.260795\pi\) | |||||||
\(38\) | 3.16254 | + | 0.847401i | 0.513032 | + | 0.137467i | ||||
\(39\) | 1.37712 | + | 2.38525i | 0.220516 | + | 0.381945i | ||||
\(40\) | −0.385491 | − | 2.20259i | −0.0609515 | − | 0.348260i | ||||
\(41\) | 9.05144i | 1.41360i | 0.707415 | + | 0.706799i | \(0.249861\pi\) | ||||
−0.707415 | + | 0.706799i | \(0.750139\pi\) | |||||||
\(42\) | −0.919329 | + | 2.24596i | −0.141856 | + | 0.346560i | ||||
\(43\) | 4.48914 | + | 4.48914i | 0.684587 | + | 0.684587i | 0.961030 | − | 0.276443i | \(-0.0891558\pi\) |
−0.276443 | + | 0.961030i | \(0.589156\pi\) | |||||||
\(44\) | −2.74155 | − | 1.86652i | −0.413304 | − | 0.281389i | ||||
\(45\) | 2.03436 | + | 4.37722i | 0.303265 | + | 0.652517i | ||||
\(46\) | 4.98161 | − | 2.87613i | 0.734498 | − | 0.424062i | ||||
\(47\) | 10.7095 | − | 2.86959i | 1.56214 | − | 0.418573i | 0.628798 | − | 0.777569i | \(-0.283547\pi\) |
0.933339 | + | 0.358996i | \(0.116881\pi\) | |||||||
\(48\) | −0.648598 | + | 0.648598i | −0.0936171 | + | 0.0936171i | ||||
\(49\) | 4.99095 | + | 4.90820i | 0.712993 | + | 0.701171i | ||||
\(50\) | 4.10303 | − | 2.85747i | 0.580257 | − | 0.404107i | ||||
\(51\) | 4.56148 | + | 2.63357i | 0.638735 | + | 0.368774i | ||||
\(52\) | 2.90039 | + | 0.777156i | 0.402211 | + | 0.107772i | ||||
\(53\) | −4.26434 | − | 1.14263i | −0.585752 | − | 0.156952i | −0.0462411 | − | 0.998930i | \(-0.514724\pi\) |
−0.539511 | + | 0.841978i | \(0.681391\pi\) | |||||||
\(54\) | 2.36590 | − | 4.09786i | 0.321958 | − | 0.557647i | ||||
\(55\) | 1.20116 | − | 7.31828i | 0.161964 | − | 0.986797i | ||||
\(56\) | 1.02269 | + | 2.44010i | 0.136663 | + | 0.326072i | ||||
\(57\) | 2.12358 | − | 2.12358i | 0.281275 | − | 0.281275i | ||||
\(58\) | 0.281907 | + | 1.05209i | 0.0370163 | + | 0.138147i | ||||
\(59\) | −5.17478 | + | 2.98766i | −0.673699 | + | 0.388960i | −0.797477 | − | 0.603350i | \(-0.793832\pi\) |
0.123778 | + | 0.992310i | \(0.460499\pi\) | |||||||
\(60\) | −1.92646 | − | 0.703948i | −0.248705 | − | 0.0908793i | ||||
\(61\) | 0.666489 | + | 0.384798i | 0.0853352 | + | 0.0492683i | 0.542060 | − | 0.840340i | \(-0.317644\pi\) |
−0.456725 | + | 0.889608i | \(0.650978\pi\) | |||||||
\(62\) | 1.02756 | − | 1.02756i | 0.130500 | − | 0.130500i | ||||
\(63\) | −3.49568 | − | 4.51645i | −0.440415 | − | 0.569019i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 1.15751 | + | 6.61372i | 0.143572 | + | 0.820330i | ||||
\(66\) | −2.74006 | + | 1.32176i | −0.337278 | + | 0.162697i | ||||
\(67\) | −3.31614 | + | 12.3760i | −0.405131 | + | 1.51197i | 0.398683 | + | 0.917089i | \(0.369467\pi\) |
−0.803814 | + | 0.594880i | \(0.797199\pi\) | |||||||
\(68\) | 5.54661 | − | 1.48621i | 0.672626 | − | 0.180230i | ||||
\(69\) | − | 5.27630i | − | 0.635192i | ||||||
\(70\) | −3.98414 | + | 4.37340i | −0.476196 | + | 0.522721i | ||||
\(71\) | −8.83561 | −1.04859 | −0.524297 | − | 0.851536i | \(-0.675672\pi\) | ||||
−0.524297 | + | 0.851536i | \(0.675672\pi\) | |||||||
\(72\) | −0.558697 | − | 2.08509i | −0.0658431 | − | 0.245730i | ||||
\(73\) | 1.38004 | − | 5.15037i | 0.161521 | − | 0.602806i | −0.836937 | − | 0.547299i | \(-0.815656\pi\) |
0.998458 | − | 0.0555064i | \(-0.0176773\pi\) | |||||||
\(74\) | −2.86102 | − | 4.95543i | −0.332587 | − | 0.576057i | ||||
\(75\) | −0.388110 | − | 4.56983i | −0.0448151 | − | 0.527679i | ||||
\(76\) | − | 3.27410i | − | 0.375566i | ||||||
\(77\) | 0.534374 | + | 8.75868i | 0.0608976 | + | 0.998144i | ||||
\(78\) | 1.94755 | − | 1.94755i | 0.220516 | − | 0.220516i | ||||
\(79\) | −4.54539 | + | 7.87284i | −0.511396 | + | 0.885763i | 0.488517 | + | 0.872554i | \(0.337538\pi\) |
−0.999913 | + | 0.0132091i | \(0.995795\pi\) | |||||||
\(80\) | −2.02776 | + | 0.942428i | −0.226711 | + | 0.105367i | ||||
\(81\) | 1.06783 | + | 1.84953i | 0.118647 | + | 0.205503i | ||||
\(82\) | 8.74302 | − | 2.34269i | 0.965505 | − | 0.258706i | ||||
\(83\) | −9.94541 | − | 9.94541i | −1.09165 | − | 1.09165i | −0.995353 | − | 0.0962978i | \(-0.969300\pi\) |
−0.0962978 | − | 0.995353i | \(-0.530700\pi\) | |||||||
\(84\) | 2.40737 | + | 0.306706i | 0.262666 | + | 0.0334644i | ||||
\(85\) | 8.24097 | + | 9.84658i | 0.893859 | + | 1.06801i | ||||
\(86\) | 3.17430 | − | 5.49805i | 0.342293 | − | 0.592870i | ||||
\(87\) | 0.965039 | + | 0.258581i | 0.103463 | + | 0.0277228i | ||||
\(88\) | −1.09336 | + | 3.13122i | −0.116552 | + | 0.333790i | ||||
\(89\) | −1.27069 | − | 0.733635i | −0.134693 | − | 0.0777652i | 0.431139 | − | 0.902285i | \(-0.358112\pi\) |
−0.565832 | + | 0.824520i | \(0.691445\pi\) | |||||||
\(90\) | 3.70153 | − | 3.09795i | 0.390176 | − | 0.326553i | ||||
\(91\) | −3.07084 | − | 7.32690i | −0.321912 | − | 0.768068i | ||||
\(92\) | −4.06746 | − | 4.06746i | −0.424062 | − | 0.424062i | ||||
\(93\) | −0.344991 | − | 1.28752i | −0.0357739 | − | 0.133510i | ||||
\(94\) | −5.54363 | − | 9.60185i | −0.571782 | − | 0.990355i | ||||
\(95\) | 6.63911 | − | 3.08561i | 0.681159 | − | 0.316577i | ||||
\(96\) | 0.794367 | + | 0.458628i | 0.0810748 | + | 0.0468085i | ||||
\(97\) | 7.76343 | + | 7.76343i | 0.788256 | + | 0.788256i | 0.981208 | − | 0.192952i | \(-0.0618061\pi\) |
−0.192952 | + | 0.981208i | \(0.561806\pi\) | |||||||
\(98\) | 3.44920 | − | 6.09122i | 0.348422 | − | 0.615306i | ||||
\(99\) | 0.530341 | − | 7.13973i | 0.0533012 | − | 0.717570i | ||||
\(100\) | −3.82204 | − | 3.22366i | −0.382204 | − | 0.322366i | ||||
\(101\) | −13.6616 | + | 7.88750i | −1.35938 | + | 0.784836i | −0.989540 | − | 0.144261i | \(-0.953919\pi\) |
−0.369836 | + | 0.929097i | \(0.620586\pi\) | |||||||
\(102\) | 1.36324 | − | 5.08767i | 0.134980 | − | 0.503754i | ||||
\(103\) | 2.64367 | + | 9.86630i | 0.260488 | + | 0.972155i | 0.964954 | + | 0.262418i | \(0.0845198\pi\) |
−0.704466 | + | 0.709737i | \(0.748814\pi\) | |||||||
\(104\) | − | 3.00270i | − | 0.294439i | ||||||
\(105\) | 1.64685 | + | 5.17063i | 0.160716 | + | 0.504602i | ||||
\(106\) | 4.41477i | 0.428800i | ||||||||
\(107\) | −0.352342 | − | 1.31496i | −0.0340622 | − | 0.127122i | 0.946801 | − | 0.321819i | \(-0.104294\pi\) |
−0.980863 | + | 0.194697i | \(0.937628\pi\) | |||||||
\(108\) | −4.57056 | − | 1.22468i | −0.439803 | − | 0.117845i | ||||
\(109\) | −4.22294 | − | 7.31434i | −0.404484 | − | 0.700587i | 0.589777 | − | 0.807566i | \(-0.299216\pi\) |
−0.994261 | + | 0.106979i | \(0.965882\pi\) | |||||||
\(110\) | −7.37980 | + | 0.733879i | −0.703636 | + | 0.0699726i | ||||
\(111\) | −5.24857 | −0.498173 | ||||||||
\(112\) | 2.09227 | − | 1.61939i | 0.197701 | − | 0.153018i | ||||
\(113\) | 0.168619 | − | 0.168619i | 0.0158623 | − | 0.0158623i | −0.699131 | − | 0.714993i | \(-0.746430\pi\) |
0.714993 | + | 0.699131i | \(0.246430\pi\) | |||||||
\(114\) | −2.60084 | − | 1.50160i | −0.243591 | − | 0.140637i | ||||
\(115\) | 4.41457 | − | 12.0812i | 0.411661 | − | 1.12657i | ||||
\(116\) | 0.943281 | − | 0.544603i | 0.0875814 | − | 0.0505651i | ||||
\(117\) | 1.67760 | + | 6.26089i | 0.155094 | + | 0.578820i | ||||
\(118\) | 4.22519 | + | 4.22519i | 0.388960 | + | 0.388960i | ||||
\(119\) | −12.0917 | − | 9.19823i | −1.10844 | − | 0.843201i | ||||
\(120\) | −0.181356 | + | 2.04301i | −0.0165555 | + | 0.186501i | ||||
\(121\) | −6.84710 | + | 8.60913i | −0.622464 | + | 0.782649i | ||||
\(122\) | 0.199186 | − | 0.743372i | 0.0180335 | − | 0.0673018i | ||||
\(123\) | 2.14884 | − | 8.01959i | 0.193755 | − | 0.723102i | ||||
\(124\) | −1.25849 | − | 0.726592i | −0.113016 | − | 0.0652499i | ||||
\(125\) | 2.93483 | − | 10.7883i | 0.262499 | − | 0.964932i | ||||
\(126\) | −3.45781 | + | 4.54551i | −0.308046 | + | 0.404946i | ||||
\(127\) | 11.6880 | − | 11.6880i | 1.03714 | − | 1.03714i | 0.0378585 | − | 0.999283i | \(-0.487946\pi\) |
0.999283 | − | 0.0378585i | \(-0.0120536\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −2.91164 | − | 5.04312i | −0.256356 | − | 0.444022i | ||||
\(130\) | 6.08877 | − | 2.82983i | 0.534021 | − | 0.248192i | ||||
\(131\) | −13.0225 | − | 7.51855i | −1.13778 | − | 0.656899i | −0.191902 | − | 0.981414i | \(-0.561466\pi\) |
−0.945880 | + | 0.324515i | \(0.894799\pi\) | |||||||
\(132\) | 1.98590 | + | 2.30460i | 0.172850 | + | 0.200589i | ||||
\(133\) | −6.85030 | + | 5.30205i | −0.593996 | + | 0.459746i | ||||
\(134\) | 12.8126 | 1.10684 | ||||||||
\(135\) | −1.82406 | − | 10.4222i | −0.156991 | − | 0.897000i | ||||
\(136\) | −2.87114 | − | 4.97296i | −0.246198 | − | 0.426428i | ||||
\(137\) | 1.00788 | − | 3.76147i | 0.0861093 | − | 0.321364i | −0.909413 | − | 0.415895i | \(-0.863468\pi\) |
0.995522 | + | 0.0945308i | \(0.0301351\pi\) | |||||||
\(138\) | −5.09651 | + | 1.36561i | −0.433844 | + | 0.116248i | ||||
\(139\) | −1.18051 | −0.100129 | −0.0500647 | − | 0.998746i | \(-0.515943\pi\) | ||||
−0.0500647 | + | 0.998746i | \(0.515943\pi\) | |||||||
\(140\) | 5.25555 | + | 2.71646i | 0.444175 | + | 0.229583i | ||||
\(141\) | −10.1699 | −0.856457 | ||||||||
\(142\) | 2.28682 | + | 8.53454i | 0.191906 | + | 0.716203i | ||||
\(143\) | 3.28303 | − | 9.40213i | 0.274541 | − | 0.786246i | ||||
\(144\) | −1.86944 | + | 1.07932i | −0.155786 | + | 0.0899434i | ||||
\(145\) | 1.99330 | + | 1.39950i | 0.165535 | + | 0.116222i | ||||
\(146\) | −5.33206 | −0.441284 | ||||||||
\(147\) | −3.25677 | − | 5.53354i | −0.268614 | − | 0.456399i | ||||
\(148\) | −4.04609 | + | 4.04609i | −0.332587 | + | 0.332587i | ||||
\(149\) | −8.36237 | + | 14.4841i | −0.685072 | + | 1.18658i | 0.288342 | + | 0.957528i | \(0.406896\pi\) |
−0.973414 | + | 0.229052i | \(0.926437\pi\) | |||||||
\(150\) | −4.31367 | + | 1.55764i | −0.352209 | + | 0.127181i | ||||
\(151\) | −4.16857 | + | 2.40672i | −0.339233 | + | 0.195856i | −0.659933 | − | 0.751325i | \(-0.729415\pi\) |
0.320700 | + | 0.947181i | \(0.396082\pi\) | |||||||
\(152\) | −3.16254 | + | 0.847401i | −0.256516 | + | 0.0687333i | ||||
\(153\) | 8.76495 | + | 8.76495i | 0.708604 | + | 0.708604i | ||||
\(154\) | 8.32193 | − | 2.78308i | 0.670600 | − | 0.224267i | ||||
\(155\) | 0.287318 | − | 3.23669i | 0.0230779 | − | 0.259977i | ||||
\(156\) | −2.38525 | − | 1.37712i | −0.190973 | − | 0.110258i | ||||
\(157\) | 5.43933 | − | 20.2999i | 0.434106 | − | 1.62011i | −0.309090 | − | 0.951033i | \(-0.600025\pi\) |
0.743196 | − | 0.669073i | \(-0.233309\pi\) | |||||||
\(158\) | 8.78101 | + | 2.35286i | 0.698580 | + | 0.187184i | ||||
\(159\) | 3.50695 | + | 2.02474i | 0.278119 | + | 0.160572i | ||||
\(160\) | 1.43514 | + | 1.71475i | 0.113458 | + | 0.135563i | ||||
\(161\) | −1.92340 | + | 15.0970i | −0.151585 | + | 1.18981i | ||||
\(162\) | 1.51014 | − | 1.51014i | 0.118647 | − | 0.118647i | ||||
\(163\) | 6.01090 | + | 22.4330i | 0.470810 | + | 1.75709i | 0.636870 | + | 0.770971i | \(0.280229\pi\) |
−0.166060 | + | 0.986116i | \(0.553105\pi\) | |||||||
\(164\) | −4.52572 | − | 7.83878i | −0.353399 | − | 0.612106i | ||||
\(165\) | −2.80161 | + | 6.19885i | −0.218105 | + | 0.482580i | ||||
\(166\) | −7.03247 | + | 12.1806i | −0.545825 | + | 0.945397i | ||||
\(167\) | −12.0321 | + | 12.0321i | −0.931069 | + | 0.931069i | −0.997773 | − | 0.0667037i | \(-0.978752\pi\) |
0.0667037 | + | 0.997773i | \(0.478752\pi\) | |||||||
\(168\) | −0.326819 | − | 2.40473i | −0.0252146 | − | 0.185529i | ||||
\(169\) | − | 3.98379i | − | 0.306445i | ||||||
\(170\) | 7.37815 | − | 10.5086i | 0.565878 | − | 0.805976i | ||||
\(171\) | 6.12074 | − | 3.53381i | 0.468064 | − | 0.270237i | ||||
\(172\) | −6.13227 | − | 1.64314i | −0.467581 | − | 0.125288i | ||||
\(173\) | 6.44480 | − | 1.72688i | 0.489989 | − | 0.131292i | −0.00536095 | − | 0.999986i | \(-0.501706\pi\) |
0.495350 | + | 0.868693i | \(0.335040\pi\) | |||||||
\(174\) | − | 0.999081i | − | 0.0757402i | ||||||
\(175\) | −0.555374 | + | 13.2171i | −0.0419823 | + | 0.999118i | ||||
\(176\) | 3.30751 | + | 0.245683i | 0.249313 | + | 0.0185190i | ||||
\(177\) | 5.29415 | − | 1.41856i | 0.397932 | − | 0.106626i | ||||
\(178\) | −0.379758 | + | 1.41727i | −0.0284640 | + | 0.106229i | ||||
\(179\) | 3.42495 | − | 1.97740i | 0.255993 | − | 0.147797i | −0.366512 | − | 0.930413i | \(-0.619448\pi\) |
0.622505 | + | 0.782616i | \(0.286115\pi\) | |||||||
\(180\) | −3.95042 | − | 2.77360i | −0.294447 | − | 0.206732i | ||||
\(181\) | −15.5809 | −1.15812 | −0.579058 | − | 0.815286i | \(-0.696580\pi\) | ||||
−0.579058 | + | 0.815286i | \(0.696580\pi\) | |||||||
\(182\) | −6.28245 | + | 4.86255i | −0.465686 | + | 0.360436i | ||||
\(183\) | −0.499158 | − | 0.499158i | −0.0368988 | − | 0.0368988i | ||||
\(184\) | −2.87613 | + | 4.98161i | −0.212031 | + | 0.367249i | ||||
\(185\) | −12.0177 | − | 4.39137i | −0.883556 | − | 0.322860i | ||||
\(186\) | −1.15436 | + | 0.666471i | −0.0846419 | + | 0.0488681i | ||||
\(187\) | −3.55295 | − | 18.7106i | −0.259818 | − | 1.36826i | ||||
\(188\) | −7.83988 | + | 7.83988i | −0.571782 | + | 0.571782i | ||||
\(189\) | 4.83917 | + | 11.5461i | 0.351998 | + | 0.839853i | ||||
\(190\) | −4.69880 | − | 5.61428i | −0.340887 | − | 0.407303i | ||||
\(191\) | −1.64684 | + | 2.85240i | −0.119161 | + | 0.206393i | −0.919435 | − | 0.393241i | \(-0.871354\pi\) |
0.800275 | + | 0.599634i | \(0.204687\pi\) | |||||||
\(192\) | 0.237403 | − | 0.886001i | 0.0171331 | − | 0.0639417i | ||||
\(193\) | −3.92901 | + | 14.6633i | −0.282817 | + | 1.05549i | 0.667604 | + | 0.744517i | \(0.267320\pi\) |
−0.950420 | + | 0.310969i | \(0.899347\pi\) | |||||||
\(194\) | 5.48957 | − | 9.50822i | 0.394128 | − | 0.682650i | ||||
\(195\) | 0.544559 | − | 6.13456i | 0.0389967 | − | 0.439305i | ||||
\(196\) | −6.77639 | − | 1.75515i | −0.484028 | − | 0.125368i | ||||
\(197\) | 10.8733 | − | 10.8733i | 0.774691 | − | 0.774691i | −0.204232 | − | 0.978923i | \(-0.565470\pi\) |
0.978923 | + | 0.204232i | \(0.0654696\pi\) | |||||||
\(198\) | −7.03371 | + | 1.33563i | −0.499864 | + | 0.0949190i | ||||
\(199\) | −6.06205 | + | 3.49993i | −0.429728 | + | 0.248103i | −0.699231 | − | 0.714896i | \(-0.746474\pi\) |
0.269503 | + | 0.963000i | \(0.413141\pi\) | |||||||
\(200\) | −2.12460 | + | 4.52615i | −0.150232 | + | 0.320047i | ||||
\(201\) | 5.87621 | − | 10.1779i | 0.414476 | − | 0.717893i | ||||
\(202\) | 11.1546 | + | 11.1546i | 0.784836 | + | 0.784836i | ||||
\(203\) | −2.66699 | − | 1.09167i | −0.187186 | − | 0.0766201i | ||||
\(204\) | −5.26714 | −0.368774 | ||||||||
\(205\) | 11.6300 | − | 16.5646i | 0.812277 | − | 1.15692i | ||||
\(206\) | 8.84588 | − | 5.10717i | 0.616322 | − | 0.355833i | ||||
\(207\) | 3.21377 | − | 11.9940i | 0.223373 | − | 0.833638i | ||||
\(208\) | −2.90039 | + | 0.777156i | −0.201106 | + | 0.0538861i | ||||
\(209\) | −10.8291 | − | 0.804391i | −0.749067 | − | 0.0556409i | ||||
\(210\) | 4.56821 | − | 2.92899i | 0.315237 | − | 0.202120i | ||||
\(211\) | − | 18.5581i | − | 1.27759i | −0.769376 | − | 0.638797i | \(-0.779433\pi\) | ||
0.769376 | − | 0.638797i | \(-0.220567\pi\) | |||||||
\(212\) | 4.26434 | − | 1.14263i | 0.292876 | − | 0.0784759i | ||||
\(213\) | 7.82836 | + | 2.09760i | 0.536390 | + | 0.143725i | ||||
\(214\) | −1.17896 | + | 0.680673i | −0.0805920 | + | 0.0465298i | ||||
\(215\) | −2.44733 | − | 13.9833i | −0.166906 | − | 0.953656i | ||||
\(216\) | 4.73180i | 0.321958i | ||||||||
\(217\) | 0.517770 | + | 3.80974i | 0.0351485 | + | 0.258622i | ||||
\(218\) | −5.97213 | + | 5.97213i | −0.404484 | + | 0.404484i | ||||
\(219\) | −2.44543 | + | 4.23561i | −0.165247 | + | 0.286216i | ||||
\(220\) | 2.61890 | + | 6.93840i | 0.176567 | + | 0.467787i | ||||
\(221\) | 8.62117 | + | 14.9323i | 0.579923 | + | 1.00446i | ||||
\(222\) | 1.35843 | + | 5.06973i | 0.0911719 | + | 0.340258i | ||||
\(223\) | −1.11122 | + | 1.11122i | −0.0744127 | + | 0.0744127i | −0.743334 | − | 0.668921i | \(-0.766756\pi\) |
0.668921 | + | 0.743334i | \(0.266756\pi\) | |||||||
\(224\) | −2.10573 | − | 1.60184i | −0.140695 | − | 0.107028i | ||||
\(225\) | 1.90122 | − | 10.6244i | 0.126748 | − | 0.708296i | ||||
\(226\) | −0.206515 | − | 0.119232i | −0.0137372 | − | 0.00793117i | ||||
\(227\) | −21.6405 | − | 5.79857i | −1.43633 | − | 0.384864i | −0.545085 | − | 0.838381i | \(-0.683503\pi\) |
−0.891248 | + | 0.453516i | \(0.850169\pi\) | |||||||
\(228\) | −0.777284 | + | 2.90086i | −0.0514769 | + | 0.192114i | ||||
\(229\) | −0.304389 | − | 0.175739i | −0.0201146 | − | 0.0116132i | 0.489909 | − | 0.871774i | \(-0.337030\pi\) |
−0.510024 | + | 0.860160i | \(0.670363\pi\) | |||||||
\(230\) | −12.8121 | − | 1.13732i | −0.844803 | − | 0.0749923i | ||||
\(231\) | 1.60588 | − | 7.88706i | 0.105659 | − | 0.518931i | ||||
\(232\) | −0.770185 | − | 0.770185i | −0.0505651 | − | 0.0505651i | ||||
\(233\) | −21.4702 | + | 5.75293i | −1.40656 | + | 0.376887i | −0.880696 | − | 0.473681i | \(-0.842925\pi\) |
−0.525865 | + | 0.850568i | \(0.676258\pi\) | |||||||
\(234\) | 5.61336 | − | 3.24088i | 0.366957 | − | 0.211863i | ||||
\(235\) | −23.2859 | − | 8.50891i | −1.51901 | − | 0.555060i | ||||
\(236\) | 2.98766 | − | 5.17478i | 0.194480 | − | 0.336850i | ||||
\(237\) | 5.89626 | − | 5.89626i | 0.383003 | − | 0.383003i | ||||
\(238\) | −5.75525 | + | 14.0603i | −0.373058 | + | 0.911397i | ||||
\(239\) | 17.0499 | 1.10286 | 0.551432 | − | 0.834220i | \(-0.314082\pi\) | ||||
0.551432 | + | 0.834220i | \(0.314082\pi\) | |||||||
\(240\) | 2.02034 | − | 0.353594i | 0.130412 | − | 0.0228244i | ||||
\(241\) | −3.71736 | + | 2.14622i | −0.239456 | + | 0.138250i | −0.614927 | − | 0.788584i | \(-0.710814\pi\) |
0.375471 | + | 0.926834i | \(0.377481\pi\) | |||||||
\(242\) | 10.0879 | + | 4.38558i | 0.648478 | + | 0.281916i | ||||
\(243\) | −4.18105 | − | 15.6039i | −0.268214 | − | 1.00099i | ||||
\(244\) | −0.769596 | −0.0492683 | ||||||||
\(245\) | −2.82723 | − | 15.3950i | −0.180625 | − | 0.983552i | ||||
\(246\) | −8.30249 | −0.529348 | ||||||||
\(247\) | 9.49617 | − | 2.54449i | 0.604227 | − | 0.161902i | ||||
\(248\) | −0.376112 | + | 1.40367i | −0.0238831 | + | 0.0891330i | ||||
\(249\) | 6.45057 | + | 11.1727i | 0.408788 | + | 0.708042i | ||||
\(250\) | −11.1803 | − | 0.0426140i | −0.707102 | − | 0.00269515i | ||||
\(251\) | 10.4665 | 0.660642 | 0.330321 | − | 0.943869i | \(-0.392843\pi\) | ||||
0.330321 | + | 0.943869i | \(0.392843\pi\) | |||||||
\(252\) | 5.28557 | + | 2.16352i | 0.332960 | + | 0.136289i | ||||
\(253\) | −14.4525 | + | 12.4539i | −0.908621 | + | 0.782969i | ||||
\(254\) | −14.3148 | − | 8.26466i | −0.898191 | − | 0.518571i | ||||
\(255\) | −4.96390 | − | 10.6805i | −0.310851 | − | 0.668840i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −11.8573 | + | 3.17717i | −0.739641 | + | 0.198186i | −0.608919 | − | 0.793233i | \(-0.708396\pi\) |
−0.130723 | + | 0.991419i | \(0.541730\pi\) | |||||||
\(258\) | −4.11769 | + | 4.11769i | −0.256356 | + | 0.256356i | ||||
\(259\) | 15.0177 | + | 1.91330i | 0.933154 | + | 0.118886i | ||||
\(260\) | −4.30929 | − | 5.14889i | −0.267251 | − | 0.319321i | ||||
\(261\) | 2.03620 | + | 1.17560i | 0.126038 | + | 0.0727680i | ||||
\(262\) | −3.89189 | + | 14.5247i | −0.240442 | + | 0.897341i | ||||
\(263\) | −1.26749 | + | 4.73034i | −0.0781569 | + | 0.291685i | −0.993931 | − | 0.110009i | \(-0.964912\pi\) |
0.915774 | + | 0.401695i | \(0.131579\pi\) | |||||||
\(264\) | 1.71208 | − | 2.51470i | 0.105371 | − | 0.154769i | ||||
\(265\) | 6.33581 | + | 7.57024i | 0.389206 | + | 0.465036i | ||||
\(266\) | 6.89438 | + | 5.24461i | 0.422721 | + | 0.321567i | ||||
\(267\) | 0.951669 | + | 0.951669i | 0.0582412 | + | 0.0582412i | ||||
\(268\) | −3.31614 | − | 12.3760i | −0.202565 | − | 0.755985i | ||||
\(269\) | 9.88871 | − | 5.70925i | 0.602926 | − | 0.348099i | −0.167266 | − | 0.985912i | \(-0.553494\pi\) |
0.770192 | + | 0.637813i | \(0.220161\pi\) | |||||||
\(270\) | −9.59497 | + | 4.45937i | −0.583931 | + | 0.271389i | ||||
\(271\) | 22.6390 | + | 13.0707i | 1.37522 | + | 0.793985i | 0.991580 | − | 0.129496i | \(-0.0413359\pi\) |
0.383643 | + | 0.923481i | \(0.374669\pi\) | |||||||
\(272\) | −4.06040 | + | 4.06040i | −0.246198 | + | 0.246198i | ||||
\(273\) | 0.981339 | + | 7.22067i | 0.0593933 | + | 0.437015i | ||||
\(274\) | −3.89416 | −0.235255 | ||||||||
\(275\) | −11.6013 | + | 11.8495i | −0.699585 | + | 0.714549i | ||||
\(276\) | 2.63815 | + | 4.56941i | 0.158798 | + | 0.275046i | ||||
\(277\) | −25.5213 | − | 6.83842i | −1.53343 | − | 0.410881i | −0.609293 | − | 0.792945i | \(-0.708547\pi\) |
−0.924136 | + | 0.382064i | \(0.875213\pi\) | |||||||
\(278\) | 0.305538 | + | 1.14028i | 0.0183249 | + | 0.0683896i | ||||
\(279\) | − | 3.13690i | − | 0.187802i | ||||||
\(280\) | 1.26367 | − | 5.77955i | 0.0755185 | − | 0.345394i | ||||
\(281\) | 10.8568i | 0.647664i | 0.946115 | + | 0.323832i | \(0.104971\pi\) | ||||
−0.946115 | + | 0.323832i | \(0.895029\pi\) | |||||||
\(282\) | 2.63215 | + | 9.82333i | 0.156742 | + | 0.584971i | ||||
\(283\) | 7.26190 | − | 27.1018i | 0.431675 | − | 1.61103i | −0.317224 | − | 0.948351i | \(-0.602751\pi\) |
0.748899 | − | 0.662684i | \(-0.230583\pi\) | |||||||
\(284\) | 7.65186 | − | 4.41780i | 0.454054 | − | 0.262148i | ||||
\(285\) | −6.61480 | + | 1.15770i | −0.391827 | + | 0.0685765i | ||||
\(286\) | −9.93147 | − | 0.737712i | −0.587260 | − | 0.0436218i | ||||
\(287\) | −9.07190 | + | 22.1631i | −0.535497 | + | 1.30824i | ||||
\(288\) | 1.52639 | + | 1.52639i | 0.0899434 | + | 0.0899434i | ||||
\(289\) | 13.8337 | + | 7.98688i | 0.813745 | + | 0.469816i | ||||
\(290\) | 0.835911 | − | 2.28760i | 0.0490864 | − | 0.134332i | ||||
\(291\) | −5.03534 | − | 8.72147i | −0.295177 | − | 0.511262i | ||||
\(292\) | 1.38004 | + | 5.15037i | 0.0807606 | + | 0.301403i | ||||
\(293\) | 8.54554 | + | 8.54554i | 0.499236 | + | 0.499236i | 0.911200 | − | 0.411964i | \(-0.135157\pi\) |
−0.411964 | + | 0.911200i | \(0.635157\pi\) | |||||||
\(294\) | −4.50208 | + | 4.57798i | −0.262566 | + | 0.266993i | ||||
\(295\) | 13.3089 | + | 1.18142i | 0.774874 | + | 0.0687848i | ||||
\(296\) | 4.95543 | + | 2.86102i | 0.288028 | + | 0.166293i | ||||
\(297\) | −5.17355 | + | 14.8163i | −0.300200 | + | 0.859730i | ||||
\(298\) | 16.1549 | + | 4.32868i | 0.935826 | + | 0.250754i | ||||
\(299\) | 8.63616 | − | 14.9583i | 0.499442 | − | 0.865059i | ||||
\(300\) | 2.62103 | + | 3.76353i | 0.151325 | + | 0.217288i | ||||
\(301\) | 6.49266 | + | 15.4912i | 0.374231 | + | 0.892899i | ||||
\(302\) | 3.40362 | + | 3.40362i | 0.195856 | + | 0.195856i | ||||
\(303\) | 13.9767 | − | 3.74504i | 0.802939 | − | 0.215147i | ||||
\(304\) | 1.63705 | + | 2.83546i | 0.0938914 | + | 0.162625i | ||||
\(305\) | −0.725288 | − | 1.56056i | −0.0415299 | − | 0.0893574i | ||||
\(306\) | 6.19776 | − | 10.7348i | 0.354302 | − | 0.613669i | ||||
\(307\) | −2.51961 | + | 2.51961i | −0.143802 | + | 0.143802i | −0.775343 | − | 0.631541i | \(-0.782423\pi\) |
0.631541 | + | 0.775343i | \(0.282423\pi\) | |||||||
\(308\) | −4.84212 | − | 7.31805i | −0.275905 | − | 0.416985i | ||||
\(309\) | − | 9.36917i | − | 0.532993i | ||||||
\(310\) | −3.20077 | + | 0.560190i | −0.181791 | + | 0.0318166i | ||||
\(311\) | −1.30460 | − | 2.25964i | −0.0739772 | − | 0.128132i | 0.826664 | − | 0.562696i | \(-0.190236\pi\) |
−0.900641 | + | 0.434564i | \(0.856903\pi\) | |||||||
\(312\) | −0.712851 | + | 2.66040i | −0.0403573 | + | 0.150615i | ||||
\(313\) | −4.46679 | − | 16.6703i | −0.252478 | − | 0.942260i | −0.969476 | − | 0.245185i | \(-0.921151\pi\) |
0.716998 | − | 0.697075i | \(-0.245516\pi\) | |||||||
\(314\) | −21.0160 | −1.18600 | ||||||||
\(315\) | 0.594163 | + | 12.7569i | 0.0334773 | + | 0.718768i | ||||
\(316\) | − | 9.09077i | − | 0.511396i | ||||||
\(317\) | 22.8268 | − | 6.11641i | 1.28208 | − | 0.343532i | 0.447432 | − | 0.894318i | \(-0.352339\pi\) |
0.834647 | + | 0.550786i | \(0.185672\pi\) | |||||||
\(318\) | 1.04808 | − | 3.91149i | 0.0587735 | − | 0.219346i | ||||
\(319\) | −1.56953 | − | 3.25371i | −0.0878771 | − | 0.182173i | ||||
\(320\) | 1.28488 | − | 1.83005i | 0.0718271 | − | 0.102303i | ||||
\(321\) | 1.24870i | 0.0696958i | ||||||||
\(322\) | 15.0804 | − | 2.04953i | 0.840399 | − | 0.114216i | ||||
\(323\) | 13.2942 | − | 13.2942i | 0.739708 | − | 0.739708i | ||||
\(324\) | −1.84953 | − | 1.06783i | −0.102752 | − | 0.0593237i | ||||
\(325\) | 6.37954 | − | 13.5907i | 0.353873 | − | 0.753876i | ||||
\(326\) | 20.1129 | − | 11.6122i | 1.11395 | − | 0.643138i | ||||
\(327\) | 2.00508 | + | 7.48306i | 0.110881 | + | 0.413814i | ||||
\(328\) | −6.40034 | + | 6.40034i | −0.353399 | + | 0.353399i | ||||
\(329\) | 29.0989 | + | 3.70728i | 1.60428 | + | 0.204389i | ||||
\(330\) | 6.71274 | + | 1.10177i | 0.369524 | + | 0.0606505i | ||||
\(331\) | −14.1358 | + | 24.4839i | −0.776972 | + | 1.34576i | 0.156707 | + | 0.987645i | \(0.449912\pi\) |
−0.933679 | + | 0.358110i | \(0.883421\pi\) | |||||||
\(332\) | 13.5857 | + | 3.64027i | 0.745611 | + | 0.199786i | ||||
\(333\) | −11.9309 | − | 3.19689i | −0.653812 | − | 0.175188i | ||||
\(334\) | 14.7362 | + | 8.50795i | 0.806330 | + | 0.465535i | ||||
\(335\) | 21.9704 | − | 18.3878i | 1.20037 | − | 1.00463i | ||||
\(336\) | −2.23820 | + | 0.938071i | −0.122104 | + | 0.0511760i | ||||
\(337\) | 17.0261 | − | 17.0261i | 0.927468 | − | 0.927468i | −0.0700738 | − | 0.997542i | \(-0.522323\pi\) |
0.997542 | + | 0.0700738i | \(0.0223235\pi\) | |||||||
\(338\) | −3.84804 | + | 1.03108i | −0.209306 | + | 0.0560833i | ||||
\(339\) | −0.189427 | + | 0.109366i | −0.0102883 | + | 0.00593995i | ||||
\(340\) | −12.0602 | − | 4.40691i | −0.654055 | − | 0.238998i | ||||
\(341\) | −2.71240 | + | 3.98398i | −0.146885 | + | 0.215744i | ||||
\(342\) | −4.99756 | − | 4.99756i | −0.270237 | − | 0.270237i | ||||
\(343\) | 7.30138 | + | 17.0203i | 0.394237 | + | 0.919009i | ||||
\(344\) | 6.34860i | 0.342293i | ||||||||
\(345\) | −6.77942 | + | 9.65588i | −0.364992 | + | 0.519855i | ||||
\(346\) | −3.33607 | − | 5.77825i | −0.179348 | − | 0.310641i | ||||
\(347\) | −0.852126 | − | 0.228326i | −0.0457445 | − | 0.0122572i | 0.235874 | − | 0.971784i | \(-0.424205\pi\) |
−0.281619 | + | 0.959526i | \(0.590871\pi\) | |||||||
\(348\) | −0.965039 | + | 0.258581i | −0.0517315 | + | 0.0138614i | ||||
\(349\) | 0.321048 | 0.0171853 | 0.00859265 | − | 0.999963i | \(-0.497265\pi\) | ||||
0.00859265 | + | 0.999963i | \(0.497265\pi\) | |||||||
\(350\) | 12.9105 | − | 2.88439i | 0.690094 | − | 0.154177i | ||||
\(351\) | − | 14.2082i | − | 0.758376i | ||||||
\(352\) | −0.618736 | − | 3.25840i | −0.0329787 | − | 0.173673i | ||||
\(353\) | 26.3703 | + | 7.06591i | 1.40355 | + | 0.376080i | 0.879619 | − | 0.475680i | \(-0.157798\pi\) |
0.523932 | + | 0.851760i | \(0.324465\pi\) | |||||||
\(354\) | −2.74045 | − | 4.74660i | −0.145653 | − | 0.252279i | ||||
\(355\) | 16.1696 | + | 11.3527i | 0.858193 | + | 0.602539i | ||||
\(356\) | 1.46727 | 0.0777652 | ||||||||
\(357\) | 8.52956 | + | 11.0203i | 0.451432 | + | 0.583254i | ||||
\(358\) | −2.79646 | − | 2.79646i | −0.147797 | − | 0.147797i | ||||
\(359\) | −8.49168 | + | 14.7080i | −0.448174 | + | 0.776260i | −0.998267 | − | 0.0588435i | \(-0.981259\pi\) |
0.550094 | + | 0.835103i | \(0.314592\pi\) | |||||||
\(360\) | −1.65665 | + | 4.53367i | −0.0873130 | + | 0.238945i | ||||
\(361\) | 4.14012 | + | 7.17090i | 0.217901 | + | 0.377416i | ||||
\(362\) | 4.03263 | + | 15.0500i | 0.211950 | + | 0.791008i | ||||
\(363\) | 8.11038 | − | 6.00218i | 0.425685 | − | 0.315033i | ||||
\(364\) | 6.32288 | + | 4.80986i | 0.331409 | + | 0.252105i | ||||
\(365\) | −9.14316 | + | 7.65225i | −0.478575 | + | 0.400537i | ||||
\(366\) | −0.352958 | + | 0.611342i | −0.0184494 | + | 0.0319553i | ||||
\(367\) | −2.49149 | + | 9.29836i | −0.130055 | + | 0.485370i | −0.999969 | − | 0.00783187i | \(-0.997507\pi\) |
0.869915 | + | 0.493202i | \(0.164174\pi\) | |||||||
\(368\) | 5.55626 | + | 1.48880i | 0.289640 | + | 0.0776088i | ||||
\(369\) | 9.76941 | − | 16.9211i | 0.508575 | − | 0.880878i | ||||
\(370\) | −1.13134 | + | 12.7447i | −0.0588155 | + | 0.662568i | ||||
\(371\) | −9.29631 | − | 7.07177i | −0.482640 | − | 0.367148i | ||||
\(372\) | 0.942533 | + | 0.942533i | 0.0488681 | + | 0.0488681i | ||||
\(373\) | 24.2923 | − | 6.50910i | 1.25781 | − | 0.337029i | 0.432460 | − | 0.901653i | \(-0.357646\pi\) |
0.825348 | + | 0.564624i | \(0.190979\pi\) | |||||||
\(374\) | −17.1535 | + | 8.27456i | −0.886987 | + | 0.427867i | ||||
\(375\) | −5.16143 | + | 8.86169i | −0.266535 | + | 0.457616i | ||||
\(376\) | 9.60185 | + | 5.54363i | 0.495178 | + | 0.285891i | ||||
\(377\) | 2.31264 | + | 2.31264i | 0.119107 | + | 0.119107i | ||||
\(378\) | 9.90017 | − | 7.66262i | 0.509210 | − | 0.394123i | ||||
\(379\) | 12.7848i | 0.656710i | 0.944554 | + | 0.328355i | \(0.106494\pi\) | ||||
−0.944554 | + | 0.328355i | \(0.893506\pi\) | |||||||
\(380\) | −4.20684 | + | 5.99177i | −0.215806 | + | 0.307371i | ||||
\(381\) | −13.1303 | + | 7.58081i | −0.672688 | + | 0.388377i | ||||
\(382\) | 3.18144 | + | 0.852465i | 0.162777 | + | 0.0436159i | ||||
\(383\) | 1.22771 | + | 4.58187i | 0.0627330 | + | 0.234123i | 0.990173 | − | 0.139850i | \(-0.0446620\pi\) |
−0.927440 | + | 0.373973i | \(0.877995\pi\) | |||||||
\(384\) | −0.917256 | −0.0468085 | ||||||||
\(385\) | 10.2759 | − | 16.7154i | 0.523710 | − | 0.851896i | ||||
\(386\) | 15.1805 | 0.772669 | ||||||||
\(387\) | −3.54694 | − | 13.2374i | −0.180301 | − | 0.672894i | ||||
\(388\) | −10.6050 | − | 2.84161i | −0.538389 | − | 0.144261i | ||||
\(389\) | −23.7499 | + | 13.7120i | −1.20417 | + | 0.695226i | −0.961479 | − | 0.274879i | \(-0.911362\pi\) |
−0.242688 | + | 0.970105i | \(0.578029\pi\) | |||||||
\(390\) | −6.06647 | + | 1.06174i | −0.307188 | + | 0.0537632i | ||||
\(391\) | − | 33.0311i | − | 1.67045i | ||||||
\(392\) | 0.0585139 | + | 6.99976i | 0.00295540 | + | 0.353541i | ||||
\(393\) | 9.75304 | + | 9.75304i | 0.491976 | + | 0.491976i | ||||
\(394\) | −13.3170 | − | 7.68859i | −0.670902 | − | 0.387345i | ||||
\(395\) | 18.4339 | − | 8.56739i | 0.927512 | − | 0.431072i | ||||
\(396\) | 3.11058 | + | 6.44836i | 0.156312 | + | 0.324042i | ||||
\(397\) | −36.0060 | + | 9.64778i | −1.80709 | + | 0.484208i | −0.995048 | − | 0.0993924i | \(-0.968310\pi\) |
−0.812041 | + | 0.583601i | \(0.801643\pi\) | |||||||
\(398\) | 4.94965 | + | 4.94965i | 0.248103 | + | 0.248103i | ||||
\(399\) | 7.32810 | − | 3.07134i | 0.366864 | − | 0.153760i | ||||
\(400\) | 4.92182 | + | 0.880750i | 0.246091 | + | 0.0440375i | ||||
\(401\) | 15.6067 | − | 27.0316i | 0.779363 | − | 1.34990i | −0.152947 | − | 0.988234i | \(-0.548876\pi\) |
0.932310 | − | 0.361661i | \(-0.117790\pi\) | |||||||
\(402\) | −11.3520 | − | 3.04175i | −0.566184 | − | 0.151709i | ||||
\(403\) | 1.12935 | − | 4.21480i | 0.0562570 | − | 0.209954i | ||||
\(404\) | 7.88750 | − | 13.6616i | 0.392418 | − | 0.679688i | ||||
\(405\) | 0.422253 | − | 4.75676i | 0.0209819 | − | 0.236365i | ||||
\(406\) | −0.364202 | + | 2.85866i | −0.0180750 | + | 0.141873i | ||||
\(407\) | 12.3884 | + | 14.3766i | 0.614072 | + | 0.712619i | ||||
\(408\) | 1.36324 | + | 5.08767i | 0.0674902 | + | 0.251877i | ||||
\(409\) | 6.84762 | + | 11.8604i | 0.338593 | + | 0.586460i | 0.984168 | − | 0.177236i | \(-0.0567157\pi\) |
−0.645575 | + | 0.763697i | \(0.723382\pi\) | |||||||
\(410\) | −19.0102 | − | 6.94652i | −0.938848 | − | 0.343064i | ||||
\(411\) | −1.78597 | + | 3.09339i | −0.0880955 | + | 0.152586i | ||||
\(412\) | −7.22263 | − | 7.22263i | −0.355833 | − | 0.355833i | ||||
\(413\) | −15.6652 | + | 2.12901i | −0.770834 | + | 0.104762i | ||||
\(414\) | −12.4171 | −0.610266 | ||||||||
\(415\) | 5.42190 | + | 30.9793i | 0.266151 | + | 1.52071i | ||||
\(416\) | 1.50135 | + | 2.60042i | 0.0736098 | + | 0.127496i | ||||
\(417\) | 1.04593 | + | 0.280257i | 0.0512195 | + | 0.0137242i | ||||
\(418\) | 2.02581 | + | 10.6683i | 0.0990854 | + | 0.521806i | ||||
\(419\) | − | 4.14500i | − | 0.202496i | −0.994861 | − | 0.101248i | \(-0.967716\pi\) | ||
0.994861 | − | 0.101248i | \(-0.0322836\pi\) | |||||||
\(420\) | −4.01153 | − | 3.65448i | −0.195743 | − | 0.178320i | ||||
\(421\) | 10.8019 | 0.526452 | 0.263226 | − | 0.964734i | \(-0.415214\pi\) | ||||
0.263226 | + | 0.964734i | \(0.415214\pi\) | |||||||
\(422\) | −17.9258 | + | 4.80319i | −0.872612 | + | 0.233816i | ||||
\(423\) | −23.1179 | − | 6.19442i | −1.12403 | − | 0.301183i | ||||
\(424\) | −2.20739 | − | 3.82330i | −0.107200 | − | 0.185676i | ||||
\(425\) | −2.42968 | − | 28.6084i | −0.117857 | − | 1.38771i | ||||
\(426\) | − | 8.10452i | − | 0.392665i | ||||||
\(427\) | 1.24628 | + | 1.61020i | 0.0603115 | + | 0.0779230i | ||||
\(428\) | 0.962617 | + | 0.962617i | 0.0465298 | + | 0.0465298i | ||||
\(429\) | −5.14087 | + | 7.55090i | −0.248203 | + | 0.364561i | ||||
\(430\) | −12.8735 | + | 5.98309i | −0.620813 | + | 0.288530i | ||||
\(431\) | 22.2356 | − | 12.8377i | 1.07105 | − | 0.618372i | 0.142583 | − | 0.989783i | \(-0.454459\pi\) |
0.928469 | + | 0.371411i | \(0.121126\pi\) | |||||||
\(432\) | 4.57056 | − | 1.22468i | 0.219901 | − | 0.0589224i | ||||
\(433\) | −0.631981 | + | 0.631981i | −0.0303711 | + | 0.0303711i | −0.722129 | − | 0.691758i | \(-0.756836\pi\) |
0.691758 | + | 0.722129i | \(0.256836\pi\) | |||||||
\(434\) | 3.54592 | − | 1.48616i | 0.170210 | − | 0.0713380i | ||||
\(435\) | −1.43382 | − | 1.71318i | −0.0687465 | − | 0.0821406i | ||||
\(436\) | 7.31434 | + | 4.22294i | 0.350293 | + | 0.202242i | ||||
\(437\) | −18.1918 | − | 4.87447i | −0.870231 | − | 0.233178i | ||||
\(438\) | 4.72421 | + | 1.26585i | 0.225732 | + | 0.0604846i | ||||
\(439\) | −5.16978 | + | 8.95432i | −0.246740 | + | 0.427366i | −0.962619 | − | 0.270858i | \(-0.912693\pi\) |
0.715879 | + | 0.698224i | \(0.246026\pi\) | |||||||
\(440\) | 6.02415 | − | 4.32546i | 0.287190 | − | 0.206208i | ||||
\(441\) | −4.03275 | − | 14.5624i | −0.192036 | − | 0.693448i | ||||
\(442\) | 12.1922 | − | 12.1922i | 0.579923 | − | 0.579923i | ||||
\(443\) | −0.965786 | − | 3.60436i | −0.0458859 | − | 0.171248i | 0.939180 | − | 0.343424i | \(-0.111587\pi\) |
−0.985066 | + | 0.172176i | \(0.944920\pi\) | |||||||
\(444\) | 4.54540 | − | 2.62429i | 0.215715 | − | 0.124543i | ||||
\(445\) | 1.38280 | + | 2.97528i | 0.0655508 | + | 0.141042i | ||||
\(446\) | 1.36096 | + | 0.785750i | 0.0644433 | + | 0.0372064i | ||||
\(447\) | 10.8476 | − | 10.8476i | 0.513076 | − | 0.513076i | ||||
\(448\) | −1.00226 | + | 2.44857i | −0.0473523 | + | 0.115684i | ||||
\(449\) | 3.23662i | 0.152745i | 0.997079 | + | 0.0763727i | \(0.0243339\pi\) | ||||
−0.997079 | + | 0.0763727i | \(0.975666\pi\) | |||||||
\(450\) | −10.7545 | + | 0.913365i | −0.506971 | + | 0.0430565i | ||||
\(451\) | −27.0388 | + | 13.0430i | −1.27321 | + | 0.614172i | ||||
\(452\) | −0.0617189 | + | 0.230338i | −0.00290301 | + | 0.0108342i | ||||
\(453\) | 4.26472 | − | 1.14273i | 0.200374 | − | 0.0536901i | ||||
\(454\) | 22.4039i | 1.05147i | ||||||||
\(455\) | −3.79441 | + | 17.3542i | −0.177885 | + | 0.813580i | ||||
\(456\) | 3.00319 | 0.140637 | ||||||||
\(457\) | 3.98241 | + | 14.8626i | 0.186289 | + | 0.695242i | 0.994351 | + | 0.106143i | \(0.0338503\pi\) |
−0.808061 | + | 0.589098i | \(0.799483\pi\) | |||||||
\(458\) | −0.0909692 | + | 0.339502i | −0.00425071 | + | 0.0158639i | ||||
\(459\) | −13.5856 | − | 23.5310i | −0.634123 | − | 1.09833i | ||||
\(460\) | 2.21745 | + | 12.6699i | 0.103389 | + | 0.590736i | ||||
\(461\) | − | 7.32747i | − | 0.341274i | −0.985334 | − | 0.170637i | \(-0.945417\pi\) | ||
0.985334 | − | 0.170637i | \(-0.0545826\pi\) | |||||||
\(462\) | −8.03395 | + | 0.490158i | −0.373773 | + | 0.0228042i | ||||
\(463\) | −13.3123 | + | 13.3123i | −0.618673 | + | 0.618673i | −0.945191 | − | 0.326518i | \(-0.894125\pi\) |
0.326518 | + | 0.945191i | \(0.394125\pi\) | |||||||
\(464\) | −0.544603 | + | 0.943281i | −0.0252826 | + | 0.0437907i | ||||
\(465\) | −1.02297 | + | 2.79950i | −0.0474389 | + | 0.129824i | ||||
\(466\) | 11.1138 | + | 19.2497i | 0.514837 | + | 0.891724i | ||||
\(467\) | 0.285068 | − | 0.0763838i | 0.0131914 | − | 0.00353462i | −0.252217 | − | 0.967671i | \(-0.581160\pi\) |
0.265409 | + | 0.964136i | \(0.414493\pi\) | |||||||
\(468\) | −4.58329 | − | 4.58329i | −0.211863 | − | 0.211863i | ||||
\(469\) | −20.5238 | + | 26.9798i | −0.947699 | + | 1.24581i | ||||
\(470\) | −2.19213 | + | 24.6948i | −0.101115 | + | 1.13908i | ||||
\(471\) | −9.63852 | + | 16.6944i | −0.444119 | + | 0.769237i | ||||
\(472\) | −5.77172 | − | 1.54653i | −0.265665 | − | 0.0711847i | ||||
\(473\) | −6.94129 | + | 19.8789i | −0.319161 | + | 0.914032i | ||||
\(474\) | −7.22141 | − | 4.16928i | −0.331690 | − | 0.191502i | ||||
\(475\) | −16.1145 | − | 2.88367i | −0.739386 | − | 0.132312i | ||||
\(476\) | 15.0708 | + | 1.92006i | 0.690770 | + | 0.0880060i | ||||
\(477\) | 6.73866 | + | 6.73866i | 0.308542 | + | 0.308542i | ||||
\(478\) | −4.41283 | − | 16.4689i | −0.201838 | − | 0.753270i | ||||
\(479\) | 18.3212 | + | 31.7332i | 0.837116 | + | 1.44993i | 0.892296 | + | 0.451452i | \(0.149094\pi\) |
−0.0551791 | + | 0.998476i | \(0.517573\pi\) | |||||||
\(480\) | −0.864448 | − | 1.85998i | −0.0394565 | − | 0.0848961i | ||||
\(481\) | −14.8797 | − | 8.59078i | −0.678455 | − | 0.391706i | ||||
\(482\) | 3.03521 | + | 3.03521i | 0.138250 | + | 0.138250i | ||||
\(483\) | 5.28822 | − | 12.9194i | 0.240622 | − | 0.587852i | ||||
\(484\) | 1.62520 | − | 10.8793i | 0.0738726 | − | 0.494513i | ||||
\(485\) | −4.23236 | − | 24.1825i | −0.192182 | − | 1.09807i | ||||
\(486\) | −13.9901 | + | 8.07716i | −0.634602 | + | 0.366388i | ||||
\(487\) | 8.53370 | − | 31.8482i | 0.386699 | − | 1.44318i | −0.448773 | − | 0.893646i | \(-0.648139\pi\) |
0.835471 | − | 0.549534i | \(-0.185195\pi\) | |||||||
\(488\) | 0.199186 | + | 0.743372i | 0.00901673 | + | 0.0336509i | ||||
\(489\) | − | 21.3027i | − | 0.963340i | ||||||
\(490\) | −14.1387 | + | 6.71542i | −0.638722 | + | 0.303372i | ||||
\(491\) | − | 22.1672i | − | 1.00039i | −0.865913 | − | 0.500195i | \(-0.833262\pi\) | ||
0.865913 | − | 0.500195i | \(-0.166738\pi\) | |||||||
\(492\) | 2.14884 | + | 8.01959i | 0.0968773 | + | 0.361551i | ||||
\(493\) | 6.04141 | + | 1.61879i | 0.272091 | + | 0.0729067i | ||||
\(494\) | −4.91558 | − | 8.51403i | −0.221162 | − | 0.383064i | ||||
\(495\) | −10.1443 | + | 12.3846i | −0.455951 | + | 0.556648i | ||||
\(496\) | 1.45318 | 0.0652499 | ||||||||
\(497\) | −21.6346 | − | 8.85557i | −0.970443 | − | 0.397227i | ||||
\(498\) | 9.12249 | − | 9.12249i | 0.408788 | − | 0.408788i | ||||
\(499\) | 24.7674 | + | 14.2994i | 1.10874 | + | 0.640131i | 0.938503 | − | 0.345272i | \(-0.112213\pi\) |
0.170237 | + | 0.985403i | \(0.445547\pi\) | |||||||
\(500\) | 2.85250 | + | 10.8103i | 0.127568 | + | 0.483453i | ||||
\(501\) | 13.5169 | − | 7.80397i | 0.603890 | − | 0.348656i | ||||
\(502\) | −2.70894 | − | 10.1099i | −0.120906 | − | 0.451227i | ||||
\(503\) | 11.3614 | + | 11.3614i | 0.506581 | + | 0.506581i | 0.913475 | − | 0.406894i | \(-0.133388\pi\) |
−0.406894 | + | 0.913475i | \(0.633388\pi\) | |||||||
\(504\) | 0.721792 | − | 5.66543i | 0.0321512 | − | 0.252358i | ||||
\(505\) | 35.1358 | + | 3.11897i | 1.56352 | + | 0.138792i | ||||
\(506\) | 15.7701 | + | 10.7367i | 0.701067 | + | 0.477306i | ||||
\(507\) | −0.945764 | + | 3.52964i | −0.0420029 | + | 0.156757i | ||||
\(508\) | −4.27810 | + | 15.9661i | −0.189810 | + | 0.708381i | ||||
\(509\) | −4.52235 | − | 2.61098i | −0.200450 | − | 0.115730i | 0.396415 | − | 0.918071i | \(-0.370254\pi\) |
−0.596865 | + | 0.802341i | \(0.703587\pi\) | |||||||
\(510\) | −9.03184 | + | 7.55908i | −0.399937 | + | 0.334722i | ||||
\(511\) | 8.54113 | − | 11.2279i | 0.377837 | − | 0.496692i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −14.9645 | + | 4.00973i | −0.660699 | + | 0.177034i | ||||
\(514\) | 6.13782 | + | 10.6310i | 0.270727 | + | 0.468914i | ||||
\(515\) | 7.83899 | − | 21.4526i | 0.345427 | − | 0.945315i | ||||
\(516\) | 5.04312 | + | 2.91164i | 0.222011 | + | 0.128178i | ||||
\(517\) | 24.0044 | + | 27.8566i | 1.05571 | + | 1.22513i | ||||
\(518\) | −2.03876 | − | 15.0012i | −0.0895781 | − | 0.659114i | ||||
\(519\) | −6.12007 | −0.268641 | ||||||||
\(520\) | −3.85812 | + | 5.49509i | −0.169190 | + | 0.240976i | ||||
\(521\) | 17.3616 | + | 30.0711i | 0.760625 | + | 1.31744i | 0.942529 | + | 0.334125i | \(0.108441\pi\) |
−0.181904 | + | 0.983316i | \(0.558226\pi\) | |||||||
\(522\) | 0.608537 | − | 2.27109i | 0.0266349 | − | 0.0994029i | ||||
\(523\) | 22.2655 | − | 5.96604i | 0.973604 | − | 0.260877i | 0.263255 | − | 0.964726i | \(-0.415204\pi\) |
0.710349 | + | 0.703850i | \(0.248537\pi\) | |||||||
\(524\) | 15.0371 | 0.656899 | ||||||||
\(525\) | 3.62984 | − | 11.5785i | 0.158419 | − | 0.505328i | ||||
\(526\) | 4.89721 | 0.213529 | ||||||||
\(527\) | −2.15974 | − | 8.06025i | −0.0940797 | − | 0.351110i | ||||
\(528\) | −2.87214 | − | 1.00289i | −0.124994 | − | 0.0436452i | ||||
\(529\) | −8.73692 | + | 5.04427i | −0.379866 | + | 0.219316i | ||||
\(530\) | 5.67246 | − | 8.07925i | 0.246396 | − | 0.350940i | ||||
\(531\) | 12.8986 | 0.559751 | ||||||||
\(532\) | 3.28150 | − | 8.01686i | 0.142271 | − | 0.347575i | ||||
\(533\) | 19.2183 | − | 19.2183i | 0.832437 | − | 0.832437i | ||||
\(534\) | 0.672932 | − | 1.16555i | 0.0291206 | − | 0.0504384i | ||||
\(535\) | −1.04476 | + | 2.85916i | −0.0451691 | + | 0.123612i | ||||
\(536\) | −11.0960 | + | 6.40629i | −0.479275 | + | 0.276710i | ||||
\(537\) | −3.50395 | + | 0.938881i | −0.151207 | + | 0.0405157i | ||||
\(538\) | −8.07410 | − | 8.07410i | −0.348099 | − | 0.348099i | ||||
\(539\) | −7.47002 | + | 21.9818i | −0.321757 | + | 0.946822i | ||||
\(540\) | 6.79079 | + | 8.11386i | 0.292229 | + | 0.349165i | ||||
\(541\) | 4.95657 | + | 2.86168i | 0.213100 | + | 0.123033i | 0.602751 | − | 0.797929i | \(-0.294071\pi\) |
−0.389651 | + | 0.920962i | \(0.627405\pi\) | |||||||
\(542\) | 6.76587 | − | 25.2506i | 0.290619 | − | 1.08460i | ||||
\(543\) | 13.8047 | + | 3.69895i | 0.592415 | + | 0.158737i | ||||
\(544\) | 4.97296 | + | 2.87114i | 0.213214 | + | 0.123099i | ||||
\(545\) | −1.66989 | + | 18.8116i | −0.0715300 | + | 0.805799i | ||||
\(546\) | 6.72064 | − | 2.81675i | 0.287617 | − | 0.120546i | ||||
\(547\) | −17.6389 | + | 17.6389i | −0.754184 | + | 0.754184i | −0.975257 | − | 0.221073i | \(-0.929044\pi\) |
0.221073 | + | 0.975257i | \(0.429044\pi\) | |||||||
\(548\) | 1.00788 | + | 3.76147i | 0.0430546 | + | 0.160682i | ||||
\(549\) | −0.830640 | − | 1.43871i | −0.0354509 | − | 0.0614027i | ||||
\(550\) | 14.4483 | + | 8.13914i | 0.616079 | + | 0.347054i | ||||
\(551\) | 1.78309 | − | 3.08840i | 0.0759621 | − | 0.131570i | ||||
\(552\) | 3.73091 | − | 3.73091i | 0.158798 | − | 0.158798i | ||||
\(553\) | −19.0203 | + | 14.7215i | −0.808826 | + | 0.626022i | ||||
\(554\) | 26.4216i | 1.12255i | ||||||||
\(555\) | 9.60514 | + | 6.74380i | 0.407716 | + | 0.286258i | ||||
\(556\) | 1.02235 | − | 0.590254i | 0.0433573 | − | 0.0250323i | ||||
\(557\) | 1.24225 | + | 0.332861i | 0.0526360 | + | 0.0141038i | 0.285041 | − | 0.958515i | \(-0.407993\pi\) |
−0.232405 | + | 0.972619i | \(0.574659\pi\) | |||||||
\(558\) | −3.03002 | + | 0.811890i | −0.128271 | + | 0.0343701i | ||||
\(559\) | − | 19.0629i | − | 0.806276i | ||||||
\(560\) | −5.90967 | + | 0.275249i | −0.249729 | + | 0.0116314i | ||||
\(561\) | −1.29405 | + | 17.4211i | −0.0546346 | + | 0.735521i | ||||
\(562\) | 10.4869 | − | 2.80995i | 0.442362 | − | 0.118531i | ||||
\(563\) | −0.377258 | + | 1.40795i | −0.0158995 | + | 0.0593379i | −0.973420 | − | 0.229028i | \(-0.926445\pi\) |
0.957520 | + | 0.288366i | \(0.0931119\pi\) | |||||||
\(564\) | 8.80736 | − | 5.08493i | 0.370857 | − | 0.214114i | ||||
\(565\) | −0.525237 | + | 0.0919255i | −0.0220969 | + | 0.00386733i | ||||
\(566\) | −28.0578 | −1.17936 | ||||||||
\(567\) | 0.760934 | + | 5.59894i | 0.0319562 | + | 0.235133i | ||||
\(568\) | −6.24772 | − | 6.24772i | −0.262148 | − | 0.262148i | ||||
\(569\) | 14.6168 | − | 25.3171i | 0.612769 | − | 1.06135i | −0.378003 | − | 0.925804i | \(-0.623389\pi\) |
0.990772 | − | 0.135542i | \(-0.0432776\pi\) | |||||||
\(570\) | 2.83029 | + | 6.08977i | 0.118548 | + | 0.255072i | ||||
\(571\) | −22.8239 | + | 13.1774i | −0.955150 | + | 0.551456i | −0.894677 | − | 0.446714i | \(-0.852594\pi\) |
−0.0604732 | + | 0.998170i | \(0.519261\pi\) | |||||||
\(572\) | 1.85788 | + | 9.78400i | 0.0776818 | + | 0.409090i | ||||
\(573\) | 2.13627 | − | 2.13627i | 0.0892439 | − | 0.0892439i | ||||
\(574\) | 23.7558 | + | 3.02656i | 0.991550 | + | 0.126326i | ||||
\(575\) | −23.6017 | + | 16.4369i | −0.984260 | + | 0.685466i | ||||
\(576\) | 1.07932 | − | 1.86944i | 0.0449717 | − | 0.0778932i | ||||
\(577\) | 2.05355 | − | 7.66397i | 0.0854906 | − | 0.319055i | −0.909916 | − | 0.414792i | \(-0.863854\pi\) |
0.995407 | + | 0.0957373i | \(0.0305209\pi\) | |||||||
\(578\) | 4.13431 | − | 15.4295i | 0.171965 | − | 0.641781i | ||||
\(579\) | 6.96222 | − | 12.0589i | 0.289340 | − | 0.501152i | ||||
\(580\) | −2.42600 | − | 0.215354i | −0.100734 | − | 0.00894208i | ||||
\(581\) | −14.3841 | − | 34.3199i | −0.596753 | − | 1.42383i | ||||
\(582\) | −7.12105 | + | 7.12105i | −0.295177 | + | 0.295177i | ||||
\(583\) | −2.73158 | − | 14.3851i | −0.113130 | − | 0.595769i | ||||
\(584\) | 4.61770 | − | 2.66603i | 0.191082 | − | 0.110321i | ||||
\(585\) | 4.97442 | − | 13.6133i | 0.205667 | − | 0.562839i | ||||
\(586\) | 6.04261 | − | 10.4661i | 0.249618 | − | 0.432351i | ||||
\(587\) | −26.2081 | − | 26.2081i | −1.08173 | − | 1.08173i | −0.996349 | − | 0.0853768i | \(-0.972791\pi\) |
−0.0853768 | − | 0.996349i | \(-0.527209\pi\) | |||||||
\(588\) | 5.58721 | + | 3.16380i | 0.230413 | + | 0.130473i | ||||
\(589\) | −4.75788 | −0.196045 | ||||||||
\(590\) | −2.30343 | − | 13.1612i | −0.0948309 | − | 0.541837i | ||||
\(591\) | −12.2151 | + | 7.05240i | −0.502463 | + | 0.290097i | ||||
\(592\) | 1.48097 | − | 5.52706i | 0.0608676 | − | 0.227161i | ||||
\(593\) | −24.8337 | + | 6.65417i | −1.01980 | + | 0.273254i | −0.729718 | − | 0.683748i | \(-0.760349\pi\) |
−0.290080 | + | 0.957002i | \(0.593682\pi\) | |||||||
\(594\) | 15.6505 | + | 1.16252i | 0.642147 | + | 0.0476988i | ||||
\(595\) | 10.3097 | + | 32.3696i | 0.422657 | + | 1.32702i | ||||
\(596\) | − | 16.7247i | − | 0.685072i | ||||||
\(597\) | 6.20188 | − | 1.66179i | 0.253826 | − | 0.0680125i | ||||
\(598\) | −16.6838 | − | 4.47041i | −0.682251 | − | 0.182809i | ||||
\(599\) | 0.700534 | − | 0.404454i | 0.0286231 | − | 0.0165255i | −0.485620 | − | 0.874170i | \(-0.661406\pi\) |
0.514243 | + | 0.857644i | \(0.328073\pi\) | |||||||
\(600\) | 2.95692 | − | 3.50579i | 0.120716 | − | 0.143123i | ||||
\(601\) | − | 12.1543i | − | 0.495782i | −0.968788 | − | 0.247891i | \(-0.920262\pi\) | ||
0.968788 | − | 0.247891i | \(-0.0797375\pi\) | |||||||
\(602\) | 13.2829 | − | 10.2809i | 0.541373 | − | 0.419016i | ||||
\(603\) | 19.5570 | − | 19.5570i | 0.796422 | − | 0.796422i | ||||
\(604\) | 2.40672 | − | 4.16857i | 0.0979282 | − | 0.169617i | ||||
\(605\) | 23.5923 | − | 6.95742i | 0.959161 | − | 0.282859i | ||||
\(606\) | −7.23486 | − | 12.5311i | −0.293896 | − | 0.509043i | ||||
\(607\) | 9.78442 | + | 36.5159i | 0.397137 | + | 1.48214i | 0.818109 | + | 0.575063i | \(0.195022\pi\) |
−0.420972 | + | 0.907074i | \(0.638311\pi\) | |||||||
\(608\) | 2.31514 | − | 2.31514i | 0.0938914 | − | 0.0938914i | ||||
\(609\) | 2.10379 | + | 1.60037i | 0.0852501 | + | 0.0648504i | ||||
\(610\) | −1.31967 | + | 1.10448i | −0.0534317 | + | 0.0447190i | ||||
\(611\) | −28.8315 | − | 16.6459i | −1.16640 | − | 0.673420i | ||||
\(612\) | −11.9731 | − | 3.20820i | −0.483986 | − | 0.129684i | ||||
\(613\) | 1.95910 | − | 7.31144i | 0.0791271 | − | 0.295306i | −0.915010 | − | 0.403431i | \(-0.867818\pi\) |
0.994137 | + | 0.108124i | \(0.0344844\pi\) | |||||||
\(614\) | 3.08588 | + | 1.78163i | 0.124536 | + | 0.0719009i | ||||
\(615\) | −14.2367 | + | 11.9152i | −0.574080 | + | 0.480469i | ||||
\(616\) | −5.81546 | + | 6.57118i | −0.234312 | + | 0.264760i | ||||
\(617\) | −33.2565 | − | 33.2565i | −1.33885 | − | 1.33885i | −0.897170 | − | 0.441685i | \(-0.854381\pi\) |
−0.441685 | − | 0.897170i | \(-0.645619\pi\) | |||||||
\(618\) | −9.04992 | + | 2.42492i | −0.364041 | + | 0.0975446i | ||||
\(619\) | −0.784667 | + | 0.453028i | −0.0315384 | + | 0.0182087i | −0.515686 | − | 0.856777i | \(-0.672463\pi\) |
0.484148 | + | 0.874986i | \(0.339130\pi\) | |||||||
\(620\) | 1.36952 | + | 2.94672i | 0.0550013 | + | 0.118343i | ||||
\(621\) | −13.6093 | + | 23.5719i | −0.546121 | + | 0.945909i | ||||
\(622\) | −1.84499 | + | 1.84499i | −0.0739772 | + | 0.0739772i | ||||
\(623\) | −2.37608 | − | 3.06992i | −0.0951958 | − | 0.122994i | ||||
\(624\) | 2.75425 | 0.110258 | ||||||||
\(625\) | −19.2325 | + | 15.9722i | −0.769301 | + | 0.638886i | ||||
\(626\) | −14.9462 | + | 8.62918i | −0.597369 | + | 0.344891i | ||||
\(627\) | 9.40367 | + | 3.28357i | 0.375546 | + | 0.131133i | ||||
\(628\) | 5.43933 | + | 20.2999i | 0.217053 | + | 0.810053i | ||||
\(629\) | −32.8575 | −1.31012 | ||||||||
\(630\) | 12.1684 | − | 3.87564i | 0.484801 | − | 0.154409i | ||||
\(631\) | 15.1409 | 0.602750 | 0.301375 | − | 0.953506i | \(-0.402554\pi\) | ||||
0.301375 | + | 0.953506i | \(0.402554\pi\) | |||||||
\(632\) | −8.78101 | + | 2.35286i | −0.349290 | + | 0.0935919i | ||||
\(633\) | −4.40576 | + | 16.4425i | −0.175113 | + | 0.653531i | ||||
\(634\) | −11.8160 | − | 20.4659i | −0.469273 | − | 0.812805i | ||||
\(635\) | −36.4073 | + | 6.37190i | −1.44478 | + | 0.252861i | ||||
\(636\) | −4.04948 | −0.160572 | ||||||||
\(637\) | −0.175700 | − | 21.0182i | −0.00696148 | − | 0.832770i | ||||
\(638\) | −2.73662 | + | 2.35818i | −0.108344 | + | 0.0933611i | ||||
\(639\) | 16.5176 | + | 9.53645i | 0.653427 | + | 0.377256i | ||||
\(640\) | −2.10024 | − | 0.767449i | −0.0830194 | − | 0.0303361i | ||||
\(641\) | −22.3020 | − | 38.6281i | −0.880875 | − | 1.52572i | −0.850370 | − | 0.526185i | \(-0.823622\pi\) |
−0.0305051 | − | 0.999535i | \(-0.509712\pi\) | |||||||
\(642\) | 1.20615 | − | 0.323188i | 0.0476031 | − | 0.0127552i | ||||
\(643\) | −24.5566 | + | 24.5566i | −0.968416 | + | 0.968416i | −0.999516 | − | 0.0311001i | \(-0.990099\pi\) |
0.0311001 | + | 0.999516i | \(0.490099\pi\) | |||||||
\(644\) | −5.88280 | − | 14.0361i | −0.231815 | − | 0.553100i | ||||
\(645\) | −1.15136 | + | 12.9703i | −0.0453347 | + | 0.510704i | ||||
\(646\) | −16.2820 | − | 9.40041i | −0.640606 | − | 0.369854i | ||||
\(647\) | −1.10228 | + | 4.11378i | −0.0433353 | + | 0.161730i | −0.984203 | − | 0.177046i | \(-0.943346\pi\) |
0.940867 | + | 0.338775i | \(0.110013\pi\) | |||||||
\(648\) | −0.552748 | + | 2.06288i | −0.0217140 | + | 0.0810377i | ||||
\(649\) | −16.3816 | − | 11.1531i | −0.643036 | − | 0.437797i | ||||
\(650\) | −14.7787 | − | 2.64463i | −0.579670 | − | 0.103731i | ||||
\(651\) | 0.445700 | − | 3.49836i | 0.0174684 | − | 0.137111i | ||||
\(652\) | −16.4221 | − | 16.4221i | −0.643138 | − | 0.643138i | ||||
\(653\) | 0.231283 | + | 0.863158i | 0.00905079 | + | 0.0337780i | 0.970304 | − | 0.241890i | \(-0.0777675\pi\) |
−0.961253 | + | 0.275668i | \(0.911101\pi\) | |||||||
\(654\) | 6.70912 | − | 3.87351i | 0.262348 | − | 0.151466i | ||||
\(655\) | 14.1714 | + | 30.4917i | 0.553722 | + | 1.19141i | ||||
\(656\) | 7.83878 | + | 4.52572i | 0.306053 | + | 0.176700i | ||||
\(657\) | −8.13880 | + | 8.13880i | −0.317525 | + | 0.317525i | ||||
\(658\) | −3.95040 | − | 29.0669i | −0.154002 | − | 1.13315i | ||||
\(659\) | 8.11199 | 0.315998 | 0.157999 | − | 0.987439i | \(-0.449496\pi\) | ||||
0.157999 | + | 0.987439i | \(0.449496\pi\) | |||||||
\(660\) | −0.673155 | − | 6.76917i | −0.0262025 | − | 0.263489i | ||||
\(661\) | 9.93281 | + | 17.2041i | 0.386342 | + | 0.669163i | 0.991954 | − | 0.126596i | \(-0.0404053\pi\) |
−0.605613 | + | 0.795759i | \(0.707072\pi\) | |||||||
\(662\) | 27.3082 | + | 7.31721i | 1.06136 | + | 0.284391i | ||||
\(663\) | −4.09339 | − | 15.2767i | −0.158974 | − | 0.593300i | ||||
\(664\) | − | 14.0649i | − | 0.545825i | ||||||
\(665\) | 19.3489 | − | 0.901193i | 0.750318 | − | 0.0349468i | ||||
\(666\) | 12.3518i | 0.478623i | ||||||||
\(667\) | −1.62161 | − | 6.05191i | −0.0627888 | − | 0.234331i | ||||
\(668\) | 4.40404 | − | 16.4361i | 0.170397 | − | 0.635932i | ||||
\(669\) | 1.24835 | − | 0.720734i | 0.0482639 | − | 0.0278652i | ||||
\(670\) | −23.4476 | − | 16.4627i | −0.905861 | − | 0.636008i | ||||
\(671\) | −0.189076 | + | 2.54545i | −0.00729921 | + | 0.0982659i | ||||
\(672\) | 1.48540 | + | 1.91914i | 0.0573004 | + | 0.0740326i | ||||
\(673\) | −14.7056 | − | 14.7056i | −0.566858 | − | 0.566858i | 0.364389 | − | 0.931247i | \(-0.381278\pi\) |
−0.931247 | + | 0.364389i | \(0.881278\pi\) | |||||||
\(674\) | −20.8526 | − | 12.0392i | −0.803211 | − | 0.463734i | ||||
\(675\) | −10.0532 | + | 21.4168i | −0.386947 | + | 0.824335i | ||||
\(676\) | 1.99189 | + | 3.45006i | 0.0766113 | + | 0.132695i | ||||
\(677\) | 2.43383 | + | 9.08316i | 0.0935395 | + | 0.349094i | 0.996794 | − | 0.0800111i | \(-0.0254956\pi\) |
−0.903254 | + | 0.429105i | \(0.858829\pi\) | |||||||
\(678\) | 0.154667 | + | 0.154667i | 0.00593995 | + | 0.00593995i | ||||
\(679\) | 11.2283 | + | 26.7902i | 0.430902 | + | 1.02811i | ||||
\(680\) | −1.13534 | + | 12.7898i | −0.0435383 | + | 0.490468i | ||||
\(681\) | 17.7970 | + | 10.2751i | 0.681981 | + | 0.393742i | ||||
\(682\) | 4.55025 | + | 1.58885i | 0.174238 | + | 0.0608403i | ||||
\(683\) | −0.598423 | − | 0.160347i | −0.0228980 | − | 0.00613551i | 0.247352 | − | 0.968926i | \(-0.420440\pi\) |
−0.270250 | + | 0.962790i | \(0.587106\pi\) | |||||||
\(684\) | −3.53381 | + | 6.12074i | −0.135119 | + | 0.234032i | ||||
\(685\) | −6.67752 | + | 5.58866i | −0.255135 | + | 0.213532i | ||||
\(686\) | 14.5506 | − | 11.4578i | 0.555544 | − | 0.437459i | ||||
\(687\) | 0.227968 | + | 0.227968i | 0.00869752 | + | 0.00869752i | ||||
\(688\) | 6.13227 | − | 1.64314i | 0.233791 | − | 0.0626440i | ||||
\(689\) | 6.62812 | + | 11.4802i | 0.252511 | + | 0.437362i | ||||
\(690\) | 11.0815 | + | 4.04929i | 0.421866 | + | 0.154154i | ||||
\(691\) | 18.6737 | − | 32.3437i | 0.710379 | − | 1.23041i | −0.254335 | − | 0.967116i | \(-0.581857\pi\) |
0.964715 | − | 0.263297i | \(-0.0848100\pi\) | |||||||
\(692\) | −4.71792 | + | 4.71792i | −0.179348 | + | 0.179348i | ||||
\(693\) | 8.45444 | − | 16.9506i | 0.321158 | − | 0.643899i | ||||
\(694\) | 0.882186i | 0.0334873i | ||||||||
\(695\) | 2.16039 | + | 1.51681i | 0.0819482 | + | 0.0575360i | ||||
\(696\) | 0.499541 | + | 0.865230i | 0.0189350 | + | 0.0327965i | ||||
\(697\) | 13.4524 | − | 50.2049i | 0.509544 | − | 1.90164i | ||||
\(698\) | −0.0830933 | − | 0.310108i | −0.00314513 | − | 0.0117378i | ||||
\(699\) | 20.3884 | 0.771161 | ||||||||
\(700\) | −6.12758 | − | 11.7240i | −0.231601 | − | 0.443127i | ||||
\(701\) | 13.7055i | 0.517649i | 0.965924 | + | 0.258825i | \(0.0833352\pi\) | ||||
−0.965924 | + | 0.258825i | \(0.916665\pi\) | |||||||
\(702\) | −13.7240 | + | 3.67734i | −0.517980 | + | 0.138792i | ||||
\(703\) | −4.84886 | + | 18.0962i | −0.182878 | + | 0.682510i | ||||
\(704\) | −2.98723 | + | 1.44099i | −0.112586 | + | 0.0543093i | ||||
\(705\) | 18.6113 | + | 13.0671i | 0.700944 | + | 0.492134i | ||||
\(706\) | − | 27.3006i | − | 1.02747i | ||||||
\(707\) | −41.3565 | + | 5.62064i | −1.55537 | + | 0.211386i | ||||
\(708\) | −3.87558 | + | 3.87558i | −0.145653 | + | 0.145653i | ||||
\(709\) | 32.7487 | + | 18.9075i | 1.22990 | + | 0.710086i | 0.967010 | − | 0.254739i | \(-0.0819895\pi\) |
0.262895 | + | 0.964825i | \(0.415323\pi\) | |||||||
\(710\) | 6.78088 | − | 18.5569i | 0.254482 | − | 0.696429i | ||||
\(711\) | 16.9946 | − | 9.81185i | 0.637348 | − | 0.367973i | ||||
\(712\) | −0.379758 | − | 1.41727i | −0.0142320 | − | 0.0531146i | ||||
\(713\) | −5.91078 | + | 5.91078i | −0.221360 | + | 0.221360i | ||||
\(714\) | 8.43714 | − | 11.0912i | 0.315752 | − | 0.415077i | ||||
\(715\) | −18.0887 | + | 12.9881i | −0.676480 | + | 0.485726i | ||||
\(716\) | −1.97740 | + | 3.42495i | −0.0738987 | + | 0.127996i | ||||
\(717\) | −15.1062 | − | 4.04769i | −0.564151 | − | 0.151164i | ||||
\(718\) | 16.4047 | + | 4.39562i | 0.612217 | + | 0.164043i | ||||
\(719\) | −16.0392 | − | 9.26024i | −0.598161 | − | 0.345349i | 0.170157 | − | 0.985417i | \(-0.445573\pi\) |
−0.768318 | + | 0.640068i | \(0.778906\pi\) | |||||||
\(720\) | 4.80796 | + | 0.426798i | 0.179182 | + | 0.0159058i | ||||
\(721\) | −3.41540 | + | 26.8079i | −0.127196 | + | 0.998379i | ||||
\(722\) | 5.85501 | − | 5.85501i | 0.217901 | − | 0.217901i | ||||
\(723\) | 3.80310 | − | 1.01904i | 0.141439 | − | 0.0378985i | ||||
\(724\) | 13.4934 | − | 7.79043i | 0.501479 | − | 0.289529i | ||||
\(725\) | −1.84964 | − | 5.12231i | −0.0686940 | − | 0.190238i | ||||
\(726\) | −7.89678 | − | 6.28055i | −0.293077 | − | 0.233093i | ||||
\(727\) | −24.5333 | − | 24.5333i | −0.909888 | − | 0.909888i | 0.0863743 | − | 0.996263i | \(-0.472472\pi\) |
−0.996263 | + | 0.0863743i | \(0.972472\pi\) | |||||||
\(728\) | 3.00949 | − | 7.35231i | 0.111539 | − | 0.272495i | ||||
\(729\) | 8.41070i | 0.311507i | ||||||||
\(730\) | 9.75793 | + | 6.85107i | 0.361157 | + | 0.253569i | ||||
\(731\) | −18.2277 | − | 31.5713i | −0.674176 | − | 1.16771i | ||||
\(732\) | 0.681863 | + | 0.182705i | 0.0252024 | + | 0.00675296i | ||||
\(733\) | −28.6944 | + | 7.68865i | −1.05985 | + | 0.283987i | −0.746318 | − | 0.665590i | \(-0.768180\pi\) |
−0.313535 | + | 0.949577i | \(0.601513\pi\) | |||||||
\(734\) | 9.62637 | 0.355316 | ||||||||
\(735\) | −1.14991 | + | 14.3112i | −0.0424149 | + | 0.527877i | ||||
\(736\) | − | 5.75226i | − | 0.212031i | ||||||
\(737\) | −41.7485 | + | 7.92760i | −1.53783 | + | 0.292017i | ||||
\(738\) | −18.8730 | − | 5.05702i | −0.694726 | − | 0.186151i | ||||
\(739\) | −25.2623 | − | 43.7556i | −0.929289 | − | 1.60958i | −0.784514 | − | 0.620111i | \(-0.787088\pi\) |
−0.144775 | − | 0.989465i | \(-0.546246\pi\) | |||||||
\(740\) | 12.6033 | − | 2.20579i | 0.463306 | − | 0.0810866i | ||||
\(741\) | −9.01769 | −0.331273 | ||||||||
\(742\) | −4.42475 | + | 10.8099i | −0.162438 | + | 0.396842i | ||||
\(743\) | 21.7343 | + | 21.7343i | 0.797352 | + | 0.797352i | 0.982677 | − | 0.185325i | \(-0.0593338\pi\) |
−0.185325 | + | 0.982677i | \(0.559334\pi\) | |||||||
\(744\) | 0.666471 | − | 1.15436i | 0.0244340 | − | 0.0423210i | ||||
\(745\) | 33.9138 | − | 15.7619i | 1.24251 | − | 0.577470i | ||||
\(746\) | −12.5746 | − | 21.7799i | −0.460390 | − | 0.797418i | ||||
\(747\) | 7.85804 | + | 29.3266i | 0.287511 | + | 1.07300i | ||||
\(748\) | 12.4323 | + | 14.4274i | 0.454569 | + | 0.527518i | ||||
\(749\) | 0.455198 | − | 3.57290i | 0.0166326 | − | 0.130551i | ||||
\(750\) | 9.89561 | + | 2.69199i | 0.361337 | + | 0.0982975i | ||||
\(751\) | 8.60341 | − | 14.9015i | 0.313943 | − | 0.543765i | −0.665269 | − | 0.746604i | \(-0.731683\pi\) |
0.979212 | + | 0.202838i | \(0.0650166\pi\) | |||||||
\(752\) | 2.86959 | − | 10.7095i | 0.104643 | − | 0.390534i | ||||
\(753\) | −9.27337 | − | 2.48479i | −0.337940 | − | 0.0905509i | ||||
\(754\) | 1.63528 | − | 2.83239i | 0.0595534 | − | 0.103150i | ||||
\(755\) | 10.7210 | + | 0.951696i | 0.390179 | + | 0.0346358i | ||||
\(756\) | −9.96388 | − | 7.57960i | −0.362383 | − | 0.275667i | ||||
\(757\) | −1.35037 | − | 1.35037i | −0.0490799 | − | 0.0490799i | 0.682141 | − | 0.731221i | \(-0.261049\pi\) |
−0.731221 | + | 0.682141i | \(0.761049\pi\) | |||||||
\(758\) | 12.3491 | − | 3.30894i | 0.448541 | − | 0.120186i | ||||
\(759\) | 15.7615 | − | 7.60309i | 0.572107 | − | 0.275975i | ||||
\(760\) | 6.87642 | + | 2.51271i | 0.249434 | + | 0.0911455i | ||||
\(761\) | 43.5223 | + | 25.1276i | 1.57768 | + | 0.910876i | 0.995182 | + | 0.0980462i | \(0.0312593\pi\) |
0.582501 | + | 0.812830i | \(0.302074\pi\) | |||||||
\(762\) | 10.7209 | + | 10.7209i | 0.388377 | + | 0.388377i | ||||
\(763\) | −3.00927 | − | 22.1421i | −0.108943 | − | 0.801599i | ||||
\(764\) | − | 3.29367i | − | 0.119161i | ||||||
\(765\) | −4.77836 | − | 27.3022i | −0.172762 | − | 0.987114i | ||||
\(766\) | 4.10799 | − | 2.37175i | 0.148428 | − | 0.0856948i | ||||
\(767\) | 17.3307 | + | 4.64376i | 0.625777 | + | 0.167676i | ||||
\(768\) | 0.237403 | + | 0.886001i | 0.00856656 | + | 0.0319708i | ||||
\(769\) | −22.1044 | −0.797106 | −0.398553 | − | 0.917145i | \(-0.630488\pi\) | ||||
−0.398553 | + | 0.917145i | \(0.630488\pi\) | |||||||
\(770\) | −18.8055 | − | 5.59953i | −0.677702 | − | 0.201793i | ||||
\(771\) | 11.2599 | 0.405515 | ||||||||
\(772\) | −3.92901 | − | 14.6633i | −0.141408 | − | 0.527743i | ||||
\(773\) | 27.2093 | + | 7.29071i | 0.978651 | + | 0.262229i | 0.712476 | − | 0.701696i | \(-0.247574\pi\) |
0.266174 | + | 0.963925i | \(0.414240\pi\) | |||||||
\(774\) | −11.8683 | + | 6.85217i | −0.426597 | + | 0.246296i | ||||
\(775\) | −4.68457 | + | 5.55413i | −0.168275 | + | 0.199510i | ||||
\(776\) | 10.9791i | 0.394128i | ||||||||
\(777\) | −12.8515 | − | 5.26043i | −0.461044 | − | 0.188717i | ||||
\(778\) | 19.3917 | + | 19.3917i | 0.695226 | + | 0.695226i | ||||
\(779\) | −25.6650 | − | 14.8177i | −0.919543 | − | 0.530899i | ||||
\(780\) | 2.59568 | + | 5.58496i | 0.0929402 | + | 0.199974i | ||||
\(781\) | −12.7320 | − | 26.3940i | −0.455587 | − | 0.944452i | ||||
\(782\) | −31.9056 | + | 8.54908i | −1.14094 | + | 0.305714i | ||||
\(783\) | −3.64436 | − | 3.64436i | −0.130239 | − | 0.130239i | ||||
\(784\) | 6.74610 | − | 1.86819i | 0.240932 | − | 0.0667211i | ||||
\(785\) | −36.0372 | + | 30.1608i | −1.28622 | + | 1.07649i | ||||
\(786\) | 6.89644 | − | 11.9450i | 0.245988 | − | 0.426063i | ||||
\(787\) | −11.9012 | − | 3.18893i | −0.424234 | − | 0.113673i | 0.0403845 | − | 0.999184i | \(-0.487142\pi\) |
−0.464618 | + | 0.885511i | \(0.653808\pi\) | |||||||
\(788\) | −3.97990 | + | 14.8532i | −0.141778 | + | 0.529124i | ||||
\(789\) | 2.24600 | − | 3.89018i | 0.0799597 | − | 0.138494i | ||||
\(790\) | −13.0465 | − | 15.5884i | −0.464174 | − | 0.554611i | ||||
\(791\) | 0.581875 | − | 0.243875i | 0.0206891 | − | 0.00867119i | ||||
\(792\) | 5.42356 | − | 4.67355i | 0.192718 | − | 0.166067i | ||||
\(793\) | −0.598096 | − | 2.23213i | −0.0212390 | − | 0.0792651i | ||||
\(794\) | 18.6381 | + | 32.2821i | 0.661441 | + | 1.14565i | ||||
\(795\) | −3.81634 | − | 8.21138i | −0.135352 | − | 0.291228i | ||||
\(796\) | 3.49993 | − | 6.06205i | 0.124052 | − | 0.214864i | ||||
\(797\) | 10.8563 | + | 10.8563i | 0.384549 | + | 0.384549i | 0.872738 | − | 0.488189i | \(-0.162342\pi\) |
−0.488189 | + | 0.872738i | \(0.662342\pi\) | |||||||
\(798\) | −4.86334 | − | 6.28348i | −0.172160 | − | 0.222433i | ||||
\(799\) | −63.6661 | −2.25235 | ||||||||
\(800\) | −0.423121 | − | 4.98206i | −0.0149596 | − | 0.176143i | ||||
\(801\) | 1.58366 | + | 2.74297i | 0.0559557 | + | 0.0969181i | ||||
\(802\) | −30.1499 | − | 8.07864i | −1.06463 | − | 0.285267i | ||||
\(803\) | 17.3740 | − | 3.29914i | 0.613114 | − | 0.116424i | ||||
\(804\) | 11.7524i | 0.414476i | ||||||||
\(805\) | 22.9178 | − | 25.1569i | 0.807747 | − | 0.886666i | ||||
\(806\) | −4.36348 | −0.153697 | ||||||||
\(807\) | −10.1168 | + | 2.71079i | −0.356129 | + | 0.0954244i | ||||
\(808\) | −15.2375 | − | 4.08287i | −0.536053 | − | 0.143635i | ||||
\(809\) | 15.2557 | + | 26.4236i | 0.536361 | + | 0.929005i | 0.999096 | + | 0.0425082i | \(0.0135349\pi\) |
−0.462735 | + | 0.886497i | \(0.653132\pi\) | |||||||
\(810\) | −4.70397 | + | 0.823275i | −0.165281 | + | 0.0289269i | ||||
\(811\) | 9.76526i | 0.342905i | 0.985192 | + | 0.171452i | \(0.0548459\pi\) | ||||
−0.985192 | + | 0.171452i | \(0.945154\pi\) | |||||||
\(812\) | 2.85552 | − | 0.388085i | 0.100209 | − | 0.0136191i | ||||
\(813\) | −16.9552 | − | 16.9552i | −0.594645 | − | 0.594645i | ||||
\(814\) | 10.6803 | − | 15.6872i | 0.374345 | − | 0.549837i | ||||
\(815\) | 17.8235 | − | 48.7767i | 0.624330 | − | 1.70857i | ||||
\(816\) | 4.56148 | − | 2.63357i | 0.159684 | − | 0.0921934i | ||||
\(817\) | −20.0777 | + | 5.37980i | −0.702430 | + | 0.188216i | ||||
\(818\) | 9.68399 | − | 9.68399i | 0.338593 | − | 0.338593i | ||||
\(819\) | −2.16733 | + | 17.0116i | −0.0757325 | + | 0.594434i | ||||
\(820\) | −1.78962 | + | 20.1604i | −0.0624961 | + | 0.704030i | ||||
\(821\) | −21.5322 | − | 12.4316i | −0.751480 | − | 0.433867i | 0.0747487 | − | 0.997202i | \(-0.476185\pi\) |
−0.826228 | + | 0.563336i | \(0.809518\pi\) | |||||||
\(822\) | 3.45023 | + | 0.924487i | 0.120341 | + | 0.0322452i | ||||
\(823\) | −25.1657 | − | 6.74313i | −0.877222 | − | 0.235051i | −0.208014 | − | 0.978126i | \(-0.566700\pi\) |
−0.669208 | + | 0.743075i | \(0.733366\pi\) | |||||||
\(824\) | −5.10717 | + | 8.84588i | −0.177917 | + | 0.308161i | ||||
\(825\) | 13.0919 | − | 7.74445i | 0.455801 | − | 0.269627i | ||||
\(826\) | 6.11092 | + | 14.5804i | 0.212626 | + | 0.507317i | ||||
\(827\) | 11.7187 | − | 11.7187i | 0.407501 | − | 0.407501i | −0.473365 | − | 0.880866i | \(-0.656961\pi\) |
0.880866 | + | 0.473365i | \(0.156961\pi\) | |||||||
\(828\) | 3.21377 | + | 11.9940i | 0.111686 | + | 0.416819i | ||||
\(829\) | −24.4200 | + | 14.0989i | −0.848141 | + | 0.489674i | −0.860023 | − | 0.510255i | \(-0.829551\pi\) |
0.0118823 | + | 0.999929i | \(0.496218\pi\) | |||||||
\(830\) | 28.5204 | − | 13.2552i | 0.989957 | − | 0.460094i | ||||
\(831\) | 20.9885 | + | 12.1177i | 0.728082 | + | 0.420359i | ||||
\(832\) | 2.12323 | − | 2.12323i | 0.0736098 | − | 0.0736098i | ||||
\(833\) | −20.3883 | − | 34.6415i | −0.706411 | − | 1.20026i | ||||
\(834\) | − | 1.08283i | − | 0.0374953i | ||||||
\(835\) | 37.4790 | − | 6.55948i | 1.29702 | − | 0.227000i | ||||
\(836\) | 9.78051 | − | 4.71795i | 0.338266 | − | 0.163174i | ||||
\(837\) | −1.77968 | + | 6.64187i | −0.0615149 | + | 0.229577i | ||||
\(838\) | −4.00376 | + | 1.07280i | −0.138308 | + | 0.0370594i | ||||
\(839\) | − | 9.34234i | − | 0.322533i | −0.986911 | − | 0.161267i | \(-0.948442\pi\) | ||
0.986911 | − | 0.161267i | \(-0.0515579\pi\) | |||||||
\(840\) | −2.49169 | + | 4.82069i | −0.0859716 | + | 0.166330i | ||||
\(841\) | −27.8136 | −0.959091 | ||||||||
\(842\) | −2.79573 | − | 10.4338i | −0.0963473 | − | 0.359573i | ||||
\(843\) | 2.57745 | − | 9.61916i | 0.0887719 | − | 0.331301i | ||||
\(844\) | 9.27906 | + | 16.0718i | 0.319398 | + | 0.553214i | ||||
\(845\) | −5.11869 | + | 7.29052i | −0.176088 | + | 0.250802i | ||||
\(846\) | 23.9334i | 0.822848i | ||||||||
\(847\) | −25.3942 | + | 14.2175i | −0.872554 | + | 0.488518i | ||||
\(848\) | −3.12171 | + | 3.12171i | −0.107200 | + | 0.107200i | ||||
\(849\) | −12.8681 | + | 22.2882i | −0.441633 | + | 0.764930i | ||||
\(850\) | −27.0047 | + | 9.75128i | −0.926255 | + | 0.334466i | ||||
\(851\) | 16.4573 | + | 28.5049i | 0.564150 | + | 0.977136i | ||||
\(852\) | −7.82836 | + | 2.09760i | −0.268195 | + | 0.0718627i | ||||
\(853\) | 0.591678 | + | 0.591678i | 0.0202587 | + | 0.0202587i | 0.717164 | − | 0.696905i | \(-0.245440\pi\) |
−0.696905 | + | 0.717164i | \(0.745440\pi\) | |||||||
\(854\) | 1.23277 | − | 1.62056i | 0.0421846 | − | 0.0554544i | ||||
\(855\) | −15.7418 | − | 1.39738i | −0.538357 | − | 0.0477894i | ||||
\(856\) | 0.680673 | − | 1.17896i | 0.0232649 | − | 0.0402960i | ||||
\(857\) | 32.4896 | + | 8.70557i | 1.10982 | + | 0.297377i | 0.766759 | − | 0.641935i | \(-0.221868\pi\) |
0.343065 | + | 0.939312i | \(0.388535\pi\) | |||||||
\(858\) | 8.62416 | + | 3.01138i | 0.294424 | + | 0.102807i | ||||
\(859\) | −2.41950 | − | 1.39690i | −0.0825524 | − | 0.0476616i | 0.458156 | − | 0.888872i | \(-0.348510\pi\) |
−0.540708 | + | 0.841210i | \(0.681844\pi\) | |||||||
\(860\) | 9.11112 | + | 10.8863i | 0.310687 | + | 0.371219i | ||||
\(861\) | 13.2993 | − | 17.4828i | 0.453239 | − | 0.595812i | ||||
\(862\) | −18.1553 | − | 18.1553i | −0.618372 | − | 0.618372i | ||||
\(863\) | 4.42687 | + | 16.5213i | 0.150692 | + | 0.562392i | 0.999436 | + | 0.0335868i | \(0.0106930\pi\) |
−0.848743 | + | 0.528805i | \(0.822640\pi\) | |||||||
\(864\) | −2.36590 | − | 4.09786i | −0.0804895 | − | 0.139412i | ||||
\(865\) | −14.0131 | − | 5.12054i | −0.476461 | − | 0.174103i | ||||
\(866\) | 0.774016 | + | 0.446878i | 0.0263021 | + | 0.0151855i | ||||
\(867\) | −10.3605 | − | 10.3605i | −0.351863 | − | 0.351863i | ||||
\(868\) | −2.35327 | − | 3.04045i | −0.0798753 | − | 0.103200i | ||||
\(869\) | −30.0678 | − | 2.23344i | −1.01998 | − | 0.0757644i | ||||
\(870\) | −1.28370 | + | 1.82837i | −0.0435216 | + | 0.0619875i | ||||
\(871\) | 33.3180 | − | 19.2362i | 1.12894 | − | 0.651793i | ||||
\(872\) | 2.18595 | − | 8.15809i | 0.0740257 | − | 0.276268i | ||||
\(873\) | −6.13402 | − | 22.8925i | −0.207605 | − | 0.774793i | ||||
\(874\) | 18.8335i | 0.637053i | ||||||||
\(875\) | 17.9988 | − | 23.4743i | 0.608469 | − | 0.793577i | ||||
\(876\) | − | 4.89086i | − | 0.165247i | ||||||
\(877\) | −3.20719 | − | 11.9694i | −0.108299 | − | 0.404178i | 0.890399 | − | 0.455180i | \(-0.150425\pi\) |
−0.998699 | + | 0.0510022i | \(0.983758\pi\) | |||||||
\(878\) | 9.98725 | + | 2.67607i | 0.337053 | + | 0.0903131i | ||||
\(879\) | −5.54262 | − | 9.60010i | −0.186948 | − | 0.323803i | ||||
\(880\) | −5.73724 | − | 4.69937i | −0.193402 | − | 0.158416i | ||||
\(881\) | 16.3561 | 0.551051 | 0.275526 | − | 0.961294i | \(-0.411148\pi\) | ||||
0.275526 | + | 0.961294i | \(0.411148\pi\) | |||||||
\(882\) | −13.0225 | + | 7.66437i | −0.438489 | + | 0.258073i | ||||
\(883\) | 37.6056 | − | 37.6056i | 1.26553 | − | 1.26553i | 0.317156 | − | 0.948373i | \(-0.397272\pi\) |
0.948373 | − | 0.317156i | \(-0.102728\pi\) | |||||||
\(884\) | −14.9323 | − | 8.62117i | −0.502228 | − | 0.289961i | ||||
\(885\) | −11.5112 | − | 4.20631i | −0.386946 | − | 0.141394i | ||||
\(886\) | −3.23158 | + | 1.86576i | −0.108567 | + | 0.0626813i | ||||
\(887\) | −0.406676 | − | 1.51774i | −0.0136548 | − | 0.0509606i | 0.958762 | − | 0.284209i | \(-0.0917310\pi\) |
−0.972417 | + | 0.233249i | \(0.925064\pi\) | |||||||
\(888\) | −3.71130 | − | 3.71130i | −0.124543 | − | 0.124543i | ||||
\(889\) | 40.3332 | − | 16.9044i | 1.35273 | − | 0.566956i | ||||
\(890\) | 2.51601 | − | 2.10574i | 0.0843367 | − | 0.0705845i | ||||
\(891\) | −3.98625 | + | 5.85500i | −0.133544 | + | 0.196150i | ||||
\(892\) | 0.406734 | − | 1.51795i | 0.0136185 | − | 0.0508248i | ||||
\(893\) | −9.39535 | + | 35.0639i | −0.314403 | + | 1.17337i | ||||
\(894\) | −13.2856 | − | 7.67044i | −0.444337 | − | 0.256538i | ||||
\(895\) | −8.80854 | − | 0.781926i | −0.294437 | − | 0.0261369i | ||||
\(896\) | 2.62454 | + | 0.334373i | 0.0876796 | + | 0.0111706i | ||||
\(897\) | −11.2028 | + | 11.2028i | −0.374051 | + | 0.374051i | ||||
\(898\) | 3.12633 | − | 0.837698i | 0.104327 | − | 0.0279543i | ||||
\(899\) | −0.791409 | − | 1.37076i | −0.0263950 | − | 0.0457174i | ||||
\(900\) | 3.66571 | + | 10.1516i | 0.122190 | + | 0.338388i | ||||
\(901\) | 21.9545 | + | 12.6754i | 0.731409 | + | 0.422279i | ||||
\(902\) | 19.5967 | + | 22.7416i | 0.652500 | + | 0.757214i | ||||
\(903\) | −2.07484 | − | 15.2666i | −0.0690464 | − | 0.508042i | ||||
\(904\) | 0.238463 | 0.00793117 | ||||||||
\(905\) | 28.5137 | + | 20.0196i | 0.947829 | + | 0.665473i | ||||
\(906\) | −2.20758 | − | 3.82365i | −0.0733420 | − | 0.127032i | ||||
\(907\) | −7.56210 | + | 28.2221i | −0.251095 | + | 0.937100i | 0.719126 | + | 0.694880i | \(0.244542\pi\) |
−0.970221 | + | 0.242221i | \(0.922124\pi\) | |||||||
\(908\) | 21.6405 | − | 5.79857i | 0.718167 | − | 0.192432i | ||||
\(909\) | 34.0526 | 1.12945 | ||||||||
\(910\) | 17.7450 | − | 0.826490i | 0.588240 | − | 0.0273979i | ||||
\(911\) | 20.2031 | 0.669360 | 0.334680 | − | 0.942332i | \(-0.391372\pi\) | ||||
0.334680 | + | 0.942332i | \(0.391372\pi\) | |||||||
\(912\) | −0.777284 | − | 2.90086i | −0.0257384 | − | 0.0960571i | ||||
\(913\) | 15.3780 | − | 44.0405i | 0.508938 | − | 1.45753i | ||||
\(914\) | 13.3254 | − | 7.69343i | 0.440766 | − | 0.254476i | ||||
\(915\) | 0.272124 | + | 1.55484i | 0.00899616 | + | 0.0514015i | ||||
\(916\) | 0.351478 | 0.0116132 | ||||||||
\(917\) | −24.3509 | − | 31.4616i | −0.804139 | − | 1.03895i | ||||
\(918\) | −19.2130 | + | 19.2130i | −0.634123 | + | 0.634123i | ||||
\(919\) | 0.721983 | − | 1.25051i | 0.0238160 | − | 0.0412506i | −0.853872 | − | 0.520483i | \(-0.825752\pi\) |
0.877688 | + | 0.479233i | \(0.159085\pi\) | |||||||
\(920\) | 11.6642 | − | 5.42109i | 0.384558 | − | 0.178728i | ||||
\(921\) | 2.83054 | − | 1.63422i | 0.0932696 | − | 0.0538492i | ||||
\(922\) | −7.07779 | + | 1.89649i | −0.233095 | + | 0.0624575i | ||||
\(923\) | 18.7600 | + | 18.7600i | 0.617494 | + | 0.617494i | ||||
\(924\) | 2.55280 | + | 7.63334i | 0.0839808 | + | 0.251118i | ||||
\(925\) | 16.3505 | + | 23.4777i | 0.537602 | + | 0.771942i | ||||
\(926\) | 16.3041 | + | 9.41319i | 0.535787 | + | 0.309336i | ||||
\(927\) | 5.70673 | − | 21.2978i | 0.187433 | − | 0.699511i | ||||
\(928\) | 1.05209 | + | 0.281907i | 0.0345366 | + | 0.00925406i | ||||
\(929\) | 26.4790 | + | 15.2876i | 0.868747 | + | 0.501571i | 0.866932 | − | 0.498427i | \(-0.166089\pi\) |
0.00181549 | + | 0.999998i | \(0.499422\pi\) | |||||||
\(930\) | 2.96888 | + | 0.263544i | 0.0973533 | + | 0.00864196i | ||||
\(931\) | −22.0874 | + | 6.11665i | −0.723887 | + | 0.200465i | ||||
\(932\) | 15.7173 | − | 15.7173i | 0.514837 | − | 0.514837i | ||||
\(933\) | 0.619434 | + | 2.31176i | 0.0202794 | + | 0.0756836i | ||||
\(934\) | −0.147562 | − | 0.255585i | −0.00482838 | − | 0.00836301i | ||||
\(935\) | −17.5389 | + | 38.8065i | −0.573583 | + | 1.26911i | ||||
\(936\) | −3.24088 | + | 5.61336i | −0.105931 | + | 0.183479i | ||||
\(937\) | 7.66075 | − | 7.66075i | 0.250266 | − | 0.250266i | −0.570814 | − | 0.821080i | \(-0.693372\pi\) |
0.821080 | + | 0.570814i | \(0.193372\pi\) | |||||||
\(938\) | 31.3724 | + | 12.8415i | 1.02435 | + | 0.419291i | ||||
\(939\) | 15.8303i | 0.516603i | ||||||||
\(940\) | 24.4207 | − | 4.27404i | 0.796515 | − | 0.139404i | ||||
\(941\) | 19.8834 | − | 11.4797i | 0.648180 | − | 0.374227i | −0.139578 | − | 0.990211i | \(-0.544575\pi\) |
0.787759 | + | 0.615984i | \(0.211241\pi\) | |||||||
\(942\) | 18.6202 | + | 4.98926i | 0.606678 | + | 0.162559i | ||||
\(943\) | −50.2922 | + | 13.4757i | −1.63774 | + | 0.438831i | ||||
\(944\) | 5.97532i | 0.194480i | ||||||||
\(945\) | 5.97941 | − | 27.3476i | 0.194510 | − | 0.889618i | ||||
\(946\) | 20.9981 | + | 1.55974i | 0.682706 | + | 0.0507115i | ||||
\(947\) | 42.1697 | − | 11.2993i | 1.37033 | − | 0.367179i | 0.502732 | − | 0.864442i | \(-0.332328\pi\) |
0.867600 | + | 0.497263i | \(0.165662\pi\) | |||||||
\(948\) | −2.15818 | + | 8.05444i | −0.0700944 | + | 0.261596i | ||||
\(949\) | −13.8656 | + | 8.00529i | −0.450095 | + | 0.259863i | ||||
\(950\) | 1.38534 | + | 16.3118i | 0.0449464 | + | 0.529225i | ||||
\(951\) | −21.6766 | −0.702912 | ||||||||
\(952\) | −2.04598 | − | 15.0542i | −0.0663105 | − | 0.487911i | ||||
\(953\) | −17.7860 | − | 17.7860i | −0.576144 | − | 0.576144i | 0.357695 | − | 0.933839i | \(-0.383563\pi\) |
−0.933839 | + | 0.357695i | \(0.883563\pi\) | |||||||
\(954\) | 4.76495 | − | 8.25314i | 0.154271 | − | 0.267205i | ||||
\(955\) | 6.67879 | − | 3.10405i | 0.216121 | − | 0.100445i | ||||
\(956\) | −14.7656 | + | 8.52493i | −0.477554 | + | 0.275716i | ||||
\(957\) | 0.618168 | + | 3.25541i | 0.0199825 | + | 0.105232i | ||||
\(958\) | 25.9101 | − | 25.9101i | 0.837116 | − | 0.837116i | ||||
\(959\) | 6.23784 | − | 8.20005i | 0.201430 | − | 0.264793i | ||||
\(960\) | −1.57287 | + | 1.31639i | −0.0507641 | + | 0.0424863i | ||||
\(961\) | 14.4441 | − | 25.0180i | 0.465940 | − | 0.807031i | ||||
\(962\) | −4.44692 | + | 16.5961i | −0.143374 | + | 0.535080i | ||||
\(963\) | −0.760580 | + | 2.83852i | −0.0245094 | + | 0.0914702i | ||||
\(964\) | 2.14622 | − | 3.71736i | 0.0691250 | − | 0.119728i | ||||
\(965\) | 26.0309 | − | 21.7862i | 0.837963 | − | 0.701322i | ||||
\(966\) | −13.8478 | − | 1.76425i | −0.445547 | − | 0.0567639i | ||||
\(967\) | 22.4281 | − | 22.4281i | 0.721241 | − | 0.721241i | −0.247617 | − | 0.968858i | \(-0.579648\pi\) |
0.968858 | + | 0.247617i | \(0.0796476\pi\) | |||||||
\(968\) | −10.9292 | + | 1.24594i | −0.351278 | + | 0.0400462i | ||||
\(969\) | −14.9348 | + | 8.62258i | −0.479773 | + | 0.276997i | ||||
\(970\) | −22.2631 | + | 10.3470i | −0.714826 | + | 0.332224i | ||||
\(971\) | −1.37739 | + | 2.38570i | −0.0442024 | + | 0.0765609i | −0.887280 | − | 0.461231i | \(-0.847408\pi\) |
0.843078 | + | 0.537792i | \(0.180741\pi\) | |||||||
\(972\) | 11.4228 | + | 11.4228i | 0.366388 | + | 0.366388i | ||||
\(973\) | −2.89055 | − | 1.18318i | −0.0926668 | − | 0.0379309i | ||||
\(974\) | −32.9717 | −1.05648 | ||||||||
\(975\) | −8.87876 | + | 10.5268i | −0.284348 | + | 0.337129i | ||||
\(976\) | 0.666489 | − | 0.384798i | 0.0213338 | − | 0.0123171i | ||||
\(977\) | −11.6613 | + | 43.5207i | −0.373079 | + | 1.39235i | 0.483052 | + | 0.875592i | \(0.339528\pi\) |
−0.856131 | + | 0.516759i | \(0.827138\pi\) | |||||||
\(978\) | −20.5768 | + | 5.51354i | −0.657973 | + | 0.176303i | ||||
\(979\) | 0.360483 | − | 4.85302i | 0.0115211 | − | 0.155103i | ||||
\(980\) | 10.1460 | + | 11.9189i | 0.324101 | + | 0.380734i | ||||
\(981\) | 18.2316i | 0.582090i | ||||||||
\(982\) | −21.4118 | + | 5.73728i | −0.683279 | + | 0.183084i | ||||
\(983\) | 29.1379 | + | 7.80748i | 0.929355 | + | 0.249020i | 0.691580 | − | 0.722300i | \(-0.256915\pi\) |
0.237775 | + | 0.971320i | \(0.423582\pi\) | |||||||
\(984\) | 7.19017 | − | 4.15125i | 0.229214 | − | 0.132337i | ||||
\(985\) | −33.8696 | + | 5.92776i | −1.07917 | + | 0.188874i | ||||
\(986\) | − | 6.25453i | − | 0.199185i | ||||||
\(987\) | −24.9016 | − | 10.1928i | −0.792626 | − | 0.324442i | ||||
\(988\) | −6.95168 | + | 6.95168i | −0.221162 | + | 0.221162i | ||||
\(989\) | −18.2594 | + | 31.6262i | −0.580615 | + | 1.00565i | ||||
\(990\) | 14.5882 | + | 6.59323i | 0.463642 | + | 0.209547i | ||||
\(991\) | 0.349768 | + | 0.605815i | 0.0111107 | + | 0.0192444i | 0.871527 | − | 0.490347i | \(-0.163130\pi\) |
−0.860417 | + | 0.509591i | \(0.829797\pi\) | |||||||
\(992\) | −0.376112 | − | 1.40367i | −0.0119416 | − | 0.0445665i | ||||
\(993\) | 18.3369 | − | 18.3369i | 0.581903 | − | 0.581903i | ||||
\(994\) | −2.95439 | + | 23.1894i | −0.0937076 | + | 0.735522i | ||||
\(995\) | 15.5908 | + | 1.38398i | 0.494263 | + | 0.0438753i | ||||
\(996\) | −11.1727 | − | 6.45057i | −0.354021 | − | 0.204394i | ||||
\(997\) | 23.5625 | + | 6.31356i | 0.746233 | + | 0.199952i | 0.611846 | − | 0.790977i | \(-0.290427\pi\) |
0.134386 | + | 0.990929i | \(0.457094\pi\) | |||||||
\(998\) | 7.40194 | − | 27.6244i | 0.234304 | − | 0.874436i | ||||
\(999\) | 23.4481 | + | 13.5378i | 0.741864 | + | 0.428316i |
(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 | 770.2.bd.a.527.9 | yes | 192 | |
5.3 | odd | 4 | inner | 770.2.bd.a.373.16 | yes | 192 | |
7.4 | even | 3 | inner | 770.2.bd.a.417.40 | yes | 192 | |
11.10 | odd | 2 | inner | 770.2.bd.a.527.33 | yes | 192 | |
35.18 | odd | 12 | inner | 770.2.bd.a.263.33 | yes | 192 | |
55.43 | even | 4 | inner | 770.2.bd.a.373.40 | yes | 192 | |
77.32 | odd | 6 | inner | 770.2.bd.a.417.16 | yes | 192 | |
385.263 | even | 12 | inner | 770.2.bd.a.263.9 | ✓ | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.bd.a.263.9 | ✓ | 192 | 385.263 | even | 12 | inner | |
770.2.bd.a.263.33 | yes | 192 | 35.18 | odd | 12 | inner | |
770.2.bd.a.373.16 | yes | 192 | 5.3 | odd | 4 | inner | |
770.2.bd.a.373.40 | yes | 192 | 55.43 | even | 4 | inner | |
770.2.bd.a.417.16 | yes | 192 | 77.32 | odd | 6 | inner | |
770.2.bd.a.417.40 | yes | 192 | 7.4 | even | 3 | inner | |
770.2.bd.a.527.9 | yes | 192 | 1.1 | even | 1 | trivial | |
770.2.bd.a.527.33 | yes | 192 | 11.10 | odd | 2 | inner |