Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(2,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.p (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 2.5 | ||
Character | \(\chi\) | \(=\) | 99.2 |
Dual form | 99.2.p.a.50.5 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.536887 | − | 0.596273i | −0.379636 | − | 0.421629i | 0.522798 | − | 0.852457i | \(-0.324888\pi\) |
−0.902434 | + | 0.430828i | \(0.858222\pi\) | |||||||
\(3\) | 1.73203 | + | 0.00818115i | 0.999989 | + | 0.00472339i | ||||
\(4\) | 0.141763 | − | 1.34878i | 0.0708813 | − | 0.674390i | ||||
\(5\) | −2.14661 | − | 1.93281i | −0.959991 | − | 0.864380i | 0.0308346 | − | 0.999525i | \(-0.490183\pi\) |
−0.990826 | + | 0.135144i | \(0.956850\pi\) | |||||||
\(6\) | −0.925027 | − | 1.03716i | −0.377641 | − | 0.423417i | ||||
\(7\) | 0.542079 | + | 1.21753i | 0.204887 | + | 0.460183i | 0.986538 | − | 0.163533i | \(-0.0522889\pi\) |
−0.781651 | + | 0.623716i | \(0.785622\pi\) | |||||||
\(8\) | −2.17861 | + | 1.58285i | −0.770254 | + | 0.559622i | ||||
\(9\) | 2.99987 | + | 0.0283400i | 0.999955 | + | 0.00944667i | ||||
\(10\) | 2.31767i | 0.732910i | ||||||||
\(11\) | 2.22482 | + | 2.45971i | 0.670809 | + | 0.741630i | ||||
\(12\) | 0.256572 | − | 2.33497i | 0.0740659 | − | 0.674048i | ||||
\(13\) | −0.121914 | − | 0.573561i | −0.0338129 | − | 0.159077i | 0.958002 | − | 0.286762i | \(-0.0925788\pi\) |
−0.991815 | + | 0.127685i | \(0.959245\pi\) | |||||||
\(14\) | 0.434945 | − | 0.976903i | 0.116244 | − | 0.261088i | ||||
\(15\) | −3.70218 | − | 3.36525i | −0.955898 | − | 0.868905i | ||||
\(16\) | −0.539671 | − | 0.114711i | −0.134918 | − | 0.0286776i | ||||
\(17\) | −0.407327 | − | 1.25362i | −0.0987913 | − | 0.304048i | 0.889432 | − | 0.457068i | \(-0.151100\pi\) |
−0.988223 | + | 0.153019i | \(0.951100\pi\) | |||||||
\(18\) | −1.59369 | − | 1.80396i | −0.375637 | − | 0.425196i | ||||
\(19\) | 4.21041 | + | 5.79513i | 0.965935 | + | 1.32949i | 0.944074 | + | 0.329734i | \(0.106959\pi\) |
0.0218608 | + | 0.999761i | \(0.493041\pi\) | |||||||
\(20\) | −2.91125 | + | 2.62130i | −0.650975 | + | 0.586141i | ||||
\(21\) | 0.928938 | + | 2.11323i | 0.202711 | + | 0.461146i | ||||
\(22\) | 0.272182 | − | 2.64719i | 0.0580294 | − | 0.564382i | ||||
\(23\) | −2.62500 | + | 1.51554i | −0.547350 | + | 0.316013i | −0.748053 | − | 0.663639i | \(-0.769011\pi\) |
0.200702 | + | 0.979652i | \(0.435678\pi\) | |||||||
\(24\) | −3.78636 | + | 2.72372i | −0.772888 | + | 0.555978i | ||||
\(25\) | 0.349510 | + | 3.32536i | 0.0699020 | + | 0.665073i | ||||
\(26\) | −0.276545 | + | 0.380632i | −0.0542349 | + | 0.0746480i | ||||
\(27\) | 5.19563 | + | 0.0736281i | 0.999900 | + | 0.0141697i | ||||
\(28\) | 1.71903 | − | 0.558546i | 0.324866 | − | 0.105555i | ||||
\(29\) | −1.19216 | + | 0.530783i | −0.221378 | + | 0.0985639i | −0.514429 | − | 0.857533i | \(-0.671996\pi\) |
0.293051 | + | 0.956097i | \(0.405329\pi\) | |||||||
\(30\) | −0.0189612 | + | 4.01427i | −0.00346182 | + | 0.732902i | ||||
\(31\) | −7.38644 | + | 1.57004i | −1.32664 | + | 0.281987i | −0.816123 | − | 0.577878i | \(-0.803881\pi\) |
−0.510521 | + | 0.859865i | \(0.670548\pi\) | |||||||
\(32\) | 2.91425 | + | 5.04763i | 0.515171 | + | 0.892303i | ||||
\(33\) | 3.83334 | + | 4.27850i | 0.667298 | + | 0.744791i | ||||
\(34\) | −0.528814 | + | 0.915932i | −0.0906908 | + | 0.157081i | ||||
\(35\) | 1.18963 | − | 3.66129i | 0.201084 | − | 0.618872i | ||||
\(36\) | 0.463493 | − | 4.04214i | 0.0772489 | − | 0.673691i | ||||
\(37\) | −3.23755 | − | 2.35222i | −0.532250 | − | 0.386702i | 0.288949 | − | 0.957345i | \(-0.406694\pi\) |
−0.821199 | + | 0.570642i | \(0.806694\pi\) | |||||||
\(38\) | 1.19497 | − | 5.62189i | 0.193850 | − | 0.911991i | ||||
\(39\) | −0.206467 | − | 0.994423i | −0.0330611 | − | 0.159235i | ||||
\(40\) | 7.73596 | + | 0.813082i | 1.22316 | + | 0.128560i | ||||
\(41\) | −2.05694 | − | 0.915811i | −0.321241 | − | 0.143026i | 0.239780 | − | 0.970827i | \(-0.422925\pi\) |
−0.561021 | + | 0.827802i | \(0.689591\pi\) | |||||||
\(42\) | 0.761331 | − | 1.68847i | 0.117476 | − | 0.260536i | ||||
\(43\) | −11.2365 | − | 6.48742i | −1.71356 | − | 0.989322i | −0.929652 | − | 0.368440i | \(-0.879892\pi\) |
−0.783904 | − | 0.620882i | \(-0.786775\pi\) | |||||||
\(44\) | 3.63301 | − | 2.65210i | 0.547696 | − | 0.399819i | ||||
\(45\) | −6.38475 | − | 5.85901i | −0.951783 | − | 0.873410i | ||||
\(46\) | 2.31301 | + | 0.751541i | 0.341034 | + | 0.110809i | ||||
\(47\) | 11.5098 | − | 1.20973i | 1.67888 | − | 0.176457i | 0.783385 | − | 0.621537i | \(-0.213491\pi\) |
0.895491 | + | 0.445080i | \(0.146825\pi\) | |||||||
\(48\) | −0.933788 | − | 0.203097i | −0.134781 | − | 0.0293146i | ||||
\(49\) | 3.49539 | − | 3.88202i | 0.499341 | − | 0.554574i | ||||
\(50\) | 1.79518 | − | 1.99375i | 0.253877 | − | 0.281959i | ||||
\(51\) | −0.695247 | − | 2.17465i | −0.0973540 | − | 0.304512i | ||||
\(52\) | −0.790891 | + | 0.0831260i | −0.109677 | + | 0.0115275i | ||||
\(53\) | −3.40948 | − | 1.10781i | −0.468328 | − | 0.152169i | 0.0653400 | − | 0.997863i | \(-0.479187\pi\) |
−0.533668 | + | 0.845694i | \(0.679187\pi\) | |||||||
\(54\) | −2.74556 | − | 3.13755i | −0.373624 | − | 0.426966i | ||||
\(55\) | −0.0216557 | − | 9.58019i | −0.00292006 | − | 1.29179i | ||||
\(56\) | −3.10815 | − | 1.79449i | −0.415343 | − | 0.239799i | ||||
\(57\) | 7.24515 | + | 10.0718i | 0.959644 | + | 1.33404i | ||||
\(58\) | 0.956546 | + | 0.425882i | 0.125601 | + | 0.0559210i | ||||
\(59\) | 5.95883 | + | 0.626298i | 0.775773 | + | 0.0815370i | 0.484137 | − | 0.874992i | \(-0.339134\pi\) |
0.291636 | + | 0.956529i | \(0.405800\pi\) | |||||||
\(60\) | −5.06382 | + | 4.51636i | −0.653736 | + | 0.583059i | ||||
\(61\) | −1.64415 | + | 7.73512i | −0.210512 | + | 0.990381i | 0.738284 | + | 0.674490i | \(0.235637\pi\) |
−0.948796 | + | 0.315890i | \(0.897697\pi\) | |||||||
\(62\) | 4.90186 | + | 3.56141i | 0.622536 | + | 0.452299i | ||||
\(63\) | 1.59166 | + | 3.66779i | 0.200530 | + | 0.462098i | ||||
\(64\) | 1.10416 | − | 3.39825i | 0.138020 | − | 0.424781i | ||||
\(65\) | −0.846884 | + | 1.46685i | −0.105043 | + | 0.181940i | ||||
\(66\) | 0.493085 | − | 4.58279i | 0.0606946 | − | 0.564102i | ||||
\(67\) | −4.35166 | − | 7.53730i | −0.531640 | − | 0.920828i | −0.999318 | − | 0.0369287i | \(-0.988243\pi\) |
0.467678 | − | 0.883899i | \(-0.345091\pi\) | |||||||
\(68\) | −1.74861 | + | 0.371678i | −0.212050 | + | 0.0450726i | ||||
\(69\) | −4.55898 | + | 2.60349i | −0.548837 | + | 0.313424i | ||||
\(70\) | −2.82183 | + | 1.25636i | −0.337273 | + | 0.150164i | ||||
\(71\) | 4.54327 | − | 1.47620i | 0.539187 | − | 0.175192i | −0.0267483 | − | 0.999642i | \(-0.508515\pi\) |
0.565935 | + | 0.824450i | \(0.308515\pi\) | |||||||
\(72\) | −6.58039 | + | 4.68660i | −0.775506 | + | 0.552321i | ||||
\(73\) | −5.16130 | + | 7.10392i | −0.604084 | + | 0.831451i | −0.996075 | − | 0.0885185i | \(-0.971787\pi\) |
0.391990 | + | 0.919969i | \(0.371787\pi\) | |||||||
\(74\) | 0.335634 | + | 3.19334i | 0.0390166 | + | 0.371218i | ||||
\(75\) | 0.578157 | + | 5.76249i | 0.0667598 | + | 0.665396i | ||||
\(76\) | 8.41325 | − | 4.85739i | 0.965065 | − | 0.557181i | ||||
\(77\) | −1.78874 | + | 4.04214i | −0.203846 | + | 0.460645i | ||||
\(78\) | −0.482099 | + | 0.657003i | −0.0545869 | + | 0.0743910i | ||||
\(79\) | 10.2545 | − | 9.23323i | 1.15373 | − | 1.03882i | 0.155023 | − | 0.987911i | \(-0.450455\pi\) |
0.998703 | − | 0.0509087i | \(-0.0162118\pi\) | |||||||
\(80\) | 0.936746 | + | 1.28932i | 0.104731 | + | 0.144150i | ||||
\(81\) | 8.99839 | + | 0.170032i | 0.999822 | + | 0.0188925i | ||||
\(82\) | 0.558273 | + | 1.71819i | 0.0616510 | + | 0.189742i | ||||
\(83\) | −10.5286 | − | 2.23793i | −1.15567 | − | 0.245644i | −0.410077 | − | 0.912051i | \(-0.634498\pi\) |
−0.745589 | + | 0.666407i | \(0.767832\pi\) | |||||||
\(84\) | 2.98198 | − | 0.953356i | 0.325361 | − | 0.104020i | ||||
\(85\) | −1.54865 | + | 3.47832i | −0.167975 | + | 0.377277i | ||||
\(86\) | 2.16448 | + | 10.1831i | 0.233401 | + | 1.09807i | ||||
\(87\) | −2.06920 | + | 0.909579i | −0.221841 | + | 0.0975171i | ||||
\(88\) | −8.74036 | − | 1.83718i | −0.931726 | − | 0.195844i | ||||
\(89\) | 8.87289i | 0.940524i | 0.882527 | + | 0.470262i | \(0.155841\pi\) | ||||
−0.882527 | + | 0.470262i | \(0.844159\pi\) | |||||||
\(90\) | −0.0656827 | + | 6.95269i | −0.00692356 | + | 0.732878i | ||||
\(91\) | 0.632240 | − | 0.459350i | 0.0662768 | − | 0.0481529i | ||||
\(92\) | 1.67201 | + | 3.75540i | 0.174319 | + | 0.391527i | ||||
\(93\) | −12.8064 | + | 2.65892i | −1.32796 | + | 0.275718i | ||||
\(94\) | −6.90079 | − | 6.21350i | −0.711762 | − | 0.640873i | ||||
\(95\) | 2.16281 | − | 20.5778i | 0.221900 | − | 2.11124i | ||||
\(96\) | 5.00628 | + | 8.76649i | 0.510951 | + | 0.894726i | ||||
\(97\) | −0.548828 | − | 0.609535i | −0.0557250 | − | 0.0618889i | 0.714638 | − | 0.699495i | \(-0.246592\pi\) |
−0.770363 | + | 0.637606i | \(0.779925\pi\) | |||||||
\(98\) | −4.19137 | −0.423392 | ||||||||
\(99\) | 6.60446 | + | 7.44185i | 0.663773 | + | 0.747934i | ||||
\(100\) | 4.53473 | 0.453473 | ||||||||
\(101\) | −11.4734 | − | 12.7425i | −1.14165 | − | 1.26793i | −0.958579 | − | 0.284827i | \(-0.908064\pi\) |
−0.183068 | − | 0.983100i | \(-0.558603\pi\) | |||||||
\(102\) | −0.923415 | + | 1.58210i | −0.0914318 | + | 0.156651i | ||||
\(103\) | −1.01984 | + | 9.70315i | −0.100488 | + | 0.956080i | 0.821852 | + | 0.569701i | \(0.192941\pi\) |
−0.922340 | + | 0.386379i | \(0.873726\pi\) | |||||||
\(104\) | 1.17346 | + | 1.05659i | 0.115068 | + | 0.103607i | ||||
\(105\) | 2.09042 | − | 6.33174i | 0.204005 | − | 0.617915i | ||||
\(106\) | 1.16995 | + | 2.62775i | 0.113636 | + | 0.255230i | ||||
\(107\) | 2.38113 | − | 1.72999i | 0.230193 | − | 0.167245i | −0.466710 | − | 0.884410i | \(-0.654561\pi\) |
0.696903 | + | 0.717165i | \(0.254561\pi\) | |||||||
\(108\) | 0.835854 | − | 6.99733i | 0.0804301 | − | 0.673318i | ||||
\(109\) | 1.43952i | 0.137881i | 0.997621 | + | 0.0689404i | \(0.0219618\pi\) | ||||
−0.997621 | + | 0.0689404i | \(0.978038\pi\) | |||||||
\(110\) | −5.70079 | + | 5.15639i | −0.543549 | + | 0.491643i | ||||
\(111\) | −5.58830 | − | 4.10060i | −0.530418 | − | 0.389212i | ||||
\(112\) | −0.152881 | − | 0.719247i | −0.0144459 | − | 0.0679625i | ||||
\(113\) | 0.769359 | − | 1.72801i | 0.0723752 | − | 0.162557i | −0.873735 | − | 0.486402i | \(-0.838309\pi\) |
0.946110 | + | 0.323845i | \(0.104976\pi\) | |||||||
\(114\) | 2.11572 | − | 9.72751i | 0.198155 | − | 0.911065i | ||||
\(115\) | 8.56410 | + | 1.82036i | 0.798607 | + | 0.169749i | ||||
\(116\) | 0.546906 | + | 1.68320i | 0.0507790 | + | 0.156282i | ||||
\(117\) | −0.349471 | − | 1.72406i | −0.0323086 | − | 0.159389i | ||||
\(118\) | −2.82577 | − | 3.88934i | −0.260133 | − | 0.358043i | ||||
\(119\) | 1.30552 | − | 1.17550i | 0.119677 | − | 0.107758i | ||||
\(120\) | 13.3923 | + | 1.47157i | 1.22254 | + | 0.134336i | ||||
\(121\) | −1.10034 | + | 10.9448i | −0.100031 | + | 0.994984i | ||||
\(122\) | 5.49497 | − | 3.17252i | 0.497491 | − | 0.287227i | ||||
\(123\) | −3.55520 | − | 1.60304i | −0.320562 | − | 0.144541i | ||||
\(124\) | 1.07051 | + | 10.1853i | 0.0961351 | + | 0.914664i | ||||
\(125\) | −2.81217 | + | 3.87062i | −0.251528 | + | 0.346199i | ||||
\(126\) | 1.33246 | − | 2.91825i | 0.118705 | − | 0.259979i | ||||
\(127\) | −4.49091 | + | 1.45919i | −0.398504 | + | 0.129482i | −0.501411 | − | 0.865209i | \(-0.667186\pi\) |
0.102907 | + | 0.994691i | \(0.467186\pi\) | |||||||
\(128\) | 8.03010 | − | 3.57523i | 0.709768 | − | 0.316009i | ||||
\(129\) | −19.4090 | − | 11.3283i | −1.70886 | − | 0.997405i | ||||
\(130\) | 1.32932 | − | 0.282556i | 0.116589 | − | 0.0247818i | ||||
\(131\) | 3.94244 | + | 6.82851i | 0.344453 | + | 0.596609i | 0.985254 | − | 0.171097i | \(-0.0547312\pi\) |
−0.640802 | + | 0.767707i | \(0.721398\pi\) | |||||||
\(132\) | 6.31418 | − | 4.56380i | 0.549579 | − | 0.397228i | ||||
\(133\) | −4.77337 | + | 8.26772i | −0.413904 | + | 0.716903i | ||||
\(134\) | −2.15794 | + | 6.64146i | −0.186418 | + | 0.573735i | ||||
\(135\) | −11.0107 | − | 10.2002i | −0.947647 | − | 0.877896i | ||||
\(136\) | 2.87170 | + | 2.08641i | 0.246247 | + | 0.178909i | ||||
\(137\) | −1.40050 | + | 6.58885i | −0.119653 | + | 0.562923i | 0.876951 | + | 0.480580i | \(0.159574\pi\) |
−0.996604 | + | 0.0823435i | \(0.973760\pi\) | |||||||
\(138\) | 4.00005 | + | 1.32062i | 0.340507 | + | 0.112418i | ||||
\(139\) | −7.37491 | − | 0.775135i | −0.625532 | − | 0.0657461i | −0.213541 | − | 0.976934i | \(-0.568500\pi\) |
−0.411991 | + | 0.911188i | \(0.635166\pi\) | |||||||
\(140\) | −4.76964 | − | 2.12358i | −0.403108 | − | 0.179475i | ||||
\(141\) | 19.9452 | − | 2.00112i | 1.67969 | − | 0.168525i | ||||
\(142\) | −3.31944 | − | 1.91648i | −0.278561 | − | 0.160827i | ||||
\(143\) | 1.13956 | − | 1.57594i | 0.0952945 | − | 0.131787i | ||||
\(144\) | −1.61569 | − | 0.359410i | −0.134641 | − | 0.0299509i | ||||
\(145\) | 3.58500 | + | 1.16484i | 0.297718 | + | 0.0967344i | ||||
\(146\) | 7.00691 | − | 0.736456i | 0.579896 | − | 0.0609496i | ||||
\(147\) | 6.08588 | − | 6.69518i | 0.501955 | − | 0.552209i | ||||
\(148\) | −3.63159 | + | 4.03329i | −0.298515 | + | 0.331534i | ||||
\(149\) | 4.12377 | − | 4.57991i | 0.337832 | − | 0.375201i | −0.550160 | − | 0.835059i | \(-0.685433\pi\) |
0.887992 | + | 0.459858i | \(0.152100\pi\) | |||||||
\(150\) | 3.12562 | − | 3.43855i | 0.255206 | − | 0.280756i | ||||
\(151\) | 19.6091 | − | 2.06100i | 1.59577 | − | 0.167722i | 0.735486 | − | 0.677539i | \(-0.236954\pi\) |
0.860283 | + | 0.509817i | \(0.170287\pi\) | |||||||
\(152\) | −18.3457 | − | 5.96087i | −1.48803 | − | 0.483490i | ||||
\(153\) | −1.18640 | − | 3.77225i | −0.0959146 | − | 0.304968i | ||||
\(154\) | 3.37057 | − | 1.10360i | 0.271609 | − | 0.0889303i | ||||
\(155\) | 18.8904 | + | 10.9064i | 1.51731 | + | 0.876020i | ||||
\(156\) | −1.37053 | + | 0.137506i | −0.109730 | + | 0.0110093i | ||||
\(157\) | 4.45331 | + | 1.98274i | 0.355413 | + | 0.158240i | 0.576674 | − | 0.816975i | \(-0.304350\pi\) |
−0.221261 | + | 0.975215i | \(0.571017\pi\) | |||||||
\(158\) | −11.0111 | − | 1.15731i | −0.875993 | − | 0.0920706i | ||||
\(159\) | −5.89626 | − | 1.94665i | −0.467604 | − | 0.154379i | ||||
\(160\) | 3.50037 | − | 16.4680i | 0.276729 | − | 1.30191i | ||||
\(161\) | −3.26818 | − | 2.37447i | −0.257569 | − | 0.187134i | ||||
\(162\) | −4.72973 | − | 5.45679i | −0.371603 | − | 0.428726i | ||||
\(163\) | 3.43006 | − | 10.5566i | 0.268663 | − | 0.826859i | −0.722164 | − | 0.691722i | \(-0.756852\pi\) |
0.990827 | − | 0.135137i | \(-0.0431476\pi\) | |||||||
\(164\) | −1.52683 | + | 2.64454i | −0.119225 | + | 0.206504i | ||||
\(165\) | 0.0408685 | − | 16.5934i | 0.00318161 | − | 1.29179i | ||||
\(166\) | 4.31826 | + | 7.47945i | 0.335162 | + | 0.580518i | ||||
\(167\) | −20.7753 | + | 4.41592i | −1.60764 | + | 0.341714i | −0.922289 | − | 0.386501i | \(-0.873684\pi\) |
−0.685349 | + | 0.728215i | \(0.740350\pi\) | |||||||
\(168\) | −5.36872 | − | 3.13354i | −0.414206 | − | 0.241758i | ||||
\(169\) | 11.5620 | − | 5.14773i | 0.889383 | − | 0.395979i | ||||
\(170\) | 2.90548 | − | 0.944048i | 0.222840 | − | 0.0724052i | ||||
\(171\) | 12.4664 | + | 17.5040i | 0.953332 | + | 1.33856i | ||||
\(172\) | −10.3430 | + | 14.2360i | −0.788648 | + | 1.08548i | ||||
\(173\) | −1.29542 | − | 12.3251i | −0.0984892 | − | 0.937062i | −0.926486 | − | 0.376329i | \(-0.877186\pi\) |
0.827997 | − | 0.560733i | \(-0.189481\pi\) | |||||||
\(174\) | 1.65328 | + | 0.745466i | 0.125335 | + | 0.0565136i | ||||
\(175\) | −3.85927 | + | 2.22815i | −0.291733 | + | 0.168432i | ||||
\(176\) | −0.918516 | − | 1.58264i | −0.0692357 | − | 0.119296i | ||||
\(177\) | 10.3157 | + | 1.13352i | 0.775379 | + | 0.0852004i | ||||
\(178\) | 5.29067 | − | 4.76374i | 0.396552 | − | 0.357057i | ||||
\(179\) | −6.56098 | − | 9.03041i | −0.490390 | − | 0.674964i | 0.490070 | − | 0.871683i | \(-0.336971\pi\) |
−0.980460 | + | 0.196719i | \(0.936971\pi\) | |||||||
\(180\) | −8.80764 | + | 7.78105i | −0.656483 | + | 0.579965i | ||||
\(181\) | −0.00588405 | − | 0.0181092i | −0.000437358 | − | 0.00134605i | 0.950838 | − | 0.309690i | \(-0.100225\pi\) |
−0.951275 | + | 0.308344i | \(0.900225\pi\) | |||||||
\(182\) | −0.613340 | − | 0.130369i | −0.0454638 | − | 0.00966362i | ||||
\(183\) | −2.91100 | + | 13.3840i | −0.215188 | + | 0.989375i | ||||
\(184\) | 3.31996 | − | 7.45676i | 0.244751 | − | 0.549719i | ||||
\(185\) | 2.40335 | + | 11.3069i | 0.176698 | + | 0.831297i | ||||
\(186\) | 8.46103 | + | 6.20857i | 0.620393 | + | 0.455235i | ||||
\(187\) | 2.17732 | − | 3.79099i | 0.159221 | − | 0.277225i | ||||
\(188\) | − | 15.6957i | − | 1.14473i | ||||||
\(189\) | 2.72680 | + | 6.36575i | 0.198345 | + | 0.463040i | ||||
\(190\) | −13.4312 | + | 9.75833i | −0.974401 | + | 0.707943i | ||||
\(191\) | 1.06374 | + | 2.38919i | 0.0769692 | + | 0.172876i | 0.947932 | − | 0.318474i | \(-0.103170\pi\) |
−0.870962 | + | 0.491350i | \(0.836504\pi\) | |||||||
\(192\) | 1.94024 | − | 5.87684i | 0.140025 | − | 0.424124i | ||||
\(193\) | 9.54568 | + | 8.59497i | 0.687113 | + | 0.618680i | 0.936890 | − | 0.349624i | \(-0.113691\pi\) |
−0.249777 | + | 0.968303i | \(0.580357\pi\) | |||||||
\(194\) | −0.0687910 | + | 0.654503i | −0.00493891 | + | 0.0469906i | ||||
\(195\) | −1.47883 | + | 2.53370i | −0.105901 | + | 0.181442i | ||||
\(196\) | −4.74048 | − | 5.26483i | −0.338606 | − | 0.376060i | ||||
\(197\) | −6.88153 | −0.490288 | −0.245144 | − | 0.969487i | \(-0.578835\pi\) | ||||
−0.245144 | + | 0.969487i | \(0.578835\pi\) | |||||||
\(198\) | 0.891531 | − | 7.93350i | 0.0633584 | − | 0.563809i | ||||
\(199\) | 0.0675681 | 0.00478977 | 0.00239489 | − | 0.999997i | \(-0.499238\pi\) | ||||
0.00239489 | + | 0.999997i | \(0.499238\pi\) | |||||||
\(200\) | −6.02500 | − | 6.69144i | −0.426032 | − | 0.473156i | ||||
\(201\) | −7.47555 | − | 13.0904i | −0.527285 | − | 0.923329i | ||||
\(202\) | −1.43810 | + | 13.6826i | −0.101184 | + | 0.962703i | ||||
\(203\) | −1.29249 | − | 1.16376i | −0.0907149 | − | 0.0816800i | ||||
\(204\) | −3.03168 | + | 0.629452i | −0.212260 | + | 0.0440705i | ||||
\(205\) | 2.64536 | + | 5.94157i | 0.184760 | + | 0.414978i | ||||
\(206\) | 6.33327 | − | 4.60139i | 0.441260 | − | 0.320594i | ||||
\(207\) | −7.91760 | + | 4.47204i | −0.550311 | + | 0.310828i | ||||
\(208\) | 0.323519i | 0.0224320i | ||||||||
\(209\) | −4.88694 | + | 23.2495i | −0.338036 | + | 1.60820i | ||||
\(210\) | −4.89777 | + | 2.15297i | −0.337978 | + | 0.148569i | ||||
\(211\) | 0.253153 | + | 1.19099i | 0.0174278 | + | 0.0819911i | 0.986002 | − | 0.166733i | \(-0.0533219\pi\) |
−0.968574 | + | 0.248725i | \(0.919989\pi\) | |||||||
\(212\) | −1.97753 | + | 4.44160i | −0.135817 | + | 0.305050i | ||||
\(213\) | 7.88116 | − | 2.51965i | 0.540008 | − | 0.172644i | ||||
\(214\) | −2.30995 | − | 0.490995i | −0.157905 | − | 0.0335637i | ||||
\(215\) | 11.5815 | + | 35.6440i | 0.789848 | + | 2.43090i | ||||
\(216\) | −11.4358 | + | 8.06350i | −0.778106 | + | 0.548652i | ||||
\(217\) | −5.91561 | − | 8.14213i | −0.401577 | − | 0.552724i | ||||
\(218\) | 0.858346 | − | 0.772858i | 0.0581345 | − | 0.0523446i | ||||
\(219\) | −8.99765 | + | 12.2620i | −0.608005 | + | 0.828588i | ||||
\(220\) | −12.9246 | − | 1.32890i | −0.871379 | − | 0.0895947i | ||||
\(221\) | −0.669370 | + | 0.386461i | −0.0450267 | + | 0.0259962i | ||||
\(222\) | 0.555203 | + | 5.53371i | 0.0372628 | + | 0.371399i | ||||
\(223\) | 1.36427 | + | 12.9801i | 0.0913581 | + | 0.869214i | 0.940213 | + | 0.340588i | \(0.110626\pi\) |
−0.848855 | + | 0.528626i | \(0.822707\pi\) | |||||||
\(224\) | −4.56588 | + | 6.28440i | −0.305071 | + | 0.419894i | ||||
\(225\) | 0.954242 | + | 9.98555i | 0.0636161 | + | 0.665703i | ||||
\(226\) | −1.44342 | + | 0.468997i | −0.0960151 | + | 0.0311972i | ||||
\(227\) | 0.722663 | − | 0.321750i | 0.0479649 | − | 0.0213553i | −0.382614 | − | 0.923908i | \(-0.624976\pi\) |
0.430579 | + | 0.902553i | \(0.358309\pi\) | |||||||
\(228\) | 14.6117 | − | 8.34432i | 0.967686 | − | 0.552616i | ||||
\(229\) | 9.55393 | − | 2.03075i | 0.631342 | − | 0.134196i | 0.118884 | − | 0.992908i | \(-0.462068\pi\) |
0.512458 | + | 0.858712i | \(0.328735\pi\) | |||||||
\(230\) | −3.51252 | − | 6.08387i | −0.231609 | − | 0.401159i | ||||
\(231\) | −3.13122 | + | 6.98649i | −0.206019 | + | 0.459677i | ||||
\(232\) | 1.75709 | − | 3.04337i | 0.115359 | − | 0.199807i | ||||
\(233\) | 5.12103 | − | 15.7609i | 0.335490 | − | 1.03253i | −0.630991 | − | 0.775790i | \(-0.717351\pi\) |
0.966480 | − | 0.256741i | \(-0.0826486\pi\) | |||||||
\(234\) | −0.840385 | + | 1.13401i | −0.0549377 | + | 0.0741323i | ||||
\(235\) | −27.0452 | − | 19.6495i | −1.76423 | − | 1.28179i | ||||
\(236\) | 1.68948 | − | 7.94836i | 0.109976 | − | 0.517394i | ||||
\(237\) | 17.8367 | − | 15.9084i | 1.15862 | − | 1.03336i | ||||
\(238\) | −1.40183 | − | 0.147339i | −0.0908674 | − | 0.00955055i | ||||
\(239\) | −1.11131 | − | 0.494785i | −0.0718844 | − | 0.0320050i | 0.370480 | − | 0.928841i | \(-0.379193\pi\) |
−0.442364 | + | 0.896836i | \(0.645860\pi\) | |||||||
\(240\) | 1.61193 | + | 2.24081i | 0.104049 | + | 0.144643i | ||||
\(241\) | −0.657074 | − | 0.379362i | −0.0423258 | − | 0.0244368i | 0.478688 | − | 0.877985i | \(-0.341113\pi\) |
−0.521014 | + | 0.853548i | \(0.674446\pi\) | |||||||
\(242\) | 7.11687 | − | 5.22003i | 0.457490 | − | 0.335556i | ||||
\(243\) | 15.5841 | + | 0.368119i | 0.999721 | + | 0.0236148i | ||||
\(244\) | 10.1999 | + | 3.31415i | 0.652982 | + | 0.212167i | ||||
\(245\) | −15.0064 | + | 1.57724i | −0.958725 | + | 0.100766i | ||||
\(246\) | 0.952890 | + | 2.98052i | 0.0607541 | + | 0.190031i | ||||
\(247\) | 2.81055 | − | 3.12144i | 0.178831 | − | 0.198612i | ||||
\(248\) | 13.6070 | − | 15.1121i | 0.864047 | − | 0.959621i | ||||
\(249\) | −18.2176 | − | 3.96230i | −1.15449 | − | 0.251100i | ||||
\(250\) | 3.81777 | − | 0.401263i | 0.241457 | − | 0.0253781i | ||||
\(251\) | 9.34419 | + | 3.03611i | 0.589800 | + | 0.191638i | 0.588686 | − | 0.808362i | \(-0.299645\pi\) |
0.00111390 | + | 0.999999i | \(0.499645\pi\) | |||||||
\(252\) | 5.17268 | − | 1.62685i | 0.325848 | − | 0.102482i | ||||
\(253\) | −9.56795 | − | 3.08492i | −0.601532 | − | 0.193947i | ||||
\(254\) | 3.28119 | + | 1.89439i | 0.205880 | + | 0.118865i | ||||
\(255\) | −2.71076 | + | 6.01189i | −0.169755 | + | 0.376479i | ||||
\(256\) | −12.9715 | − | 5.77529i | −0.810719 | − | 0.360955i | ||||
\(257\) | 22.1626 | + | 2.32938i | 1.38246 | + | 0.145303i | 0.766385 | − | 0.642381i | \(-0.222053\pi\) |
0.616079 | + | 0.787684i | \(0.288720\pi\) | |||||||
\(258\) | 3.66563 | + | 17.6551i | 0.228212 | + | 1.09916i | ||||
\(259\) | 1.10889 | − | 5.21690i | 0.0689029 | − | 0.324163i | ||||
\(260\) | 1.85840 | + | 1.35020i | 0.115253 | + | 0.0837361i | ||||
\(261\) | −3.59136 | + | 1.55849i | −0.222299 | + | 0.0964682i | ||||
\(262\) | 1.95501 | − | 6.01691i | 0.120781 | − | 0.371726i | ||||
\(263\) | 7.68495 | − | 13.3107i | 0.473874 | − | 0.820774i | −0.525678 | − | 0.850683i | \(-0.676188\pi\) |
0.999553 | + | 0.0299090i | \(0.00952177\pi\) | |||||||
\(264\) | −15.1236 | − | 3.25356i | −0.930790 | − | 0.200243i | ||||
\(265\) | 5.17763 | + | 8.96791i | 0.318059 | + | 0.550894i | ||||
\(266\) | 7.49259 | − | 1.59260i | 0.459400 | − | 0.0976485i | ||||
\(267\) | −0.0725904 | + | 15.3681i | −0.00444246 | + | 0.940514i | ||||
\(268\) | −10.7831 | + | 4.80093i | −0.658681 | + | 0.293264i | ||||
\(269\) | 0.906419 | − | 0.294513i | 0.0552653 | − | 0.0179568i | −0.281254 | − | 0.959633i | \(-0.590750\pi\) |
0.336519 | + | 0.941677i | \(0.390750\pi\) | |||||||
\(270\) | −0.170645 | + | 12.0417i | −0.0103851 | + | 0.732837i | ||||
\(271\) | 13.1444 | − | 18.0917i | 0.798465 | − | 1.09899i | −0.194537 | − | 0.980895i | \(-0.562320\pi\) |
0.993002 | − | 0.118098i | \(-0.0376796\pi\) | |||||||
\(272\) | 0.0760186 | + | 0.723268i | 0.00460930 | + | 0.0438546i | ||||
\(273\) | 1.09882 | − | 0.790435i | 0.0665035 | − | 0.0478393i | ||||
\(274\) | 4.68067 | − | 2.70238i | 0.282769 | − | 0.163257i | ||||
\(275\) | −7.40183 | + | 8.25803i | −0.446347 | + | 0.497978i | ||||
\(276\) | 2.86525 | + | 6.51814i | 0.172468 | + | 0.392346i | ||||
\(277\) | 7.70440 | − | 6.93707i | 0.462912 | − | 0.416808i | −0.404392 | − | 0.914586i | \(-0.632517\pi\) |
0.867305 | + | 0.497777i | \(0.165850\pi\) | |||||||
\(278\) | 3.49730 | + | 4.81362i | 0.209754 | + | 0.288702i | ||||
\(279\) | −22.2028 | + | 4.50057i | −1.32925 | + | 0.269442i | ||||
\(280\) | 3.20355 | + | 9.85952i | 0.191449 | + | 0.589219i | ||||
\(281\) | −9.29432 | − | 1.97557i | −0.554453 | − | 0.117853i | −0.0778399 | − | 0.996966i | \(-0.524802\pi\) |
−0.476613 | + | 0.879113i | \(0.658136\pi\) | |||||||
\(282\) | −11.9015 | − | 10.8184i | −0.708727 | − | 0.644228i | ||||
\(283\) | −5.04823 | + | 11.3385i | −0.300086 | + | 0.674004i | −0.999157 | − | 0.0410477i | \(-0.986930\pi\) |
0.699071 | + | 0.715052i | \(0.253597\pi\) | |||||||
\(284\) | −1.34700 | − | 6.33714i | −0.0799298 | − | 0.376040i | ||||
\(285\) | 3.91441 | − | 35.6237i | 0.231870 | − | 2.11017i | ||||
\(286\) | −1.55151 | + | 0.166617i | −0.0917425 | + | 0.00985224i | ||||
\(287\) | − | 3.00083i | − | 0.177134i | ||||||
\(288\) | 8.59931 | + | 15.2248i | 0.506719 | + | 0.897130i | ||||
\(289\) | 12.3476 | − | 8.97108i | 0.726331 | − | 0.527711i | ||||
\(290\) | −1.23018 | − | 2.76302i | −0.0722385 | − | 0.162250i | ||||
\(291\) | −0.945600 | − | 1.06022i | −0.0554321 | − | 0.0621514i | ||||
\(292\) | 8.84995 | + | 7.96853i | 0.517904 | + | 0.466323i | ||||
\(293\) | −2.72141 | + | 25.8925i | −0.158987 | + | 1.51266i | 0.566294 | + | 0.824203i | \(0.308377\pi\) |
−0.725281 | + | 0.688453i | \(0.758290\pi\) | |||||||
\(294\) | −7.25959 | − | 0.0342902i | −0.423388 | − | 0.00199985i | ||||
\(295\) | −11.5807 | − | 12.8617i | −0.674256 | − | 0.748838i | ||||
\(296\) | 10.7766 | 0.626375 | ||||||||
\(297\) | 11.3782 | + | 12.9436i | 0.660233 | + | 0.751061i | ||||
\(298\) | −4.94488 | −0.286449 | ||||||||
\(299\) | 1.18928 | + | 1.32083i | 0.0687779 | + | 0.0763856i | ||||
\(300\) | 7.85430 | + | 0.0370993i | 0.453468 | + | 0.00214193i | ||||
\(301\) | 1.80753 | − | 17.1975i | 0.104184 | − | 0.991248i | ||||
\(302\) | −11.7568 | − | 10.5859i | −0.676529 | − | 0.609149i | ||||
\(303\) | −19.7681 | − | 22.1643i | −1.13565 | − | 1.27331i | ||||
\(304\) | −1.60747 | − | 3.61044i | −0.0921949 | − | 0.207073i | ||||
\(305\) | 18.4799 | − | 13.4264i | 1.05815 | − | 0.768795i | ||||
\(306\) | −1.61233 | + | 2.73269i | −0.0921707 | + | 0.156217i | ||||
\(307\) | − | 18.0274i | − | 1.02888i | −0.857527 | − | 0.514440i | \(-0.828000\pi\) | ||
0.857527 | − | 0.514440i | \(-0.172000\pi\) | |||||||
\(308\) | 5.19839 | + | 2.98564i | 0.296206 | + | 0.170123i | ||||
\(309\) | −1.84578 | + | 16.7978i | −0.105003 | + | 0.955595i | ||||
\(310\) | −3.63882 | − | 17.1193i | −0.206671 | − | 0.972311i | ||||
\(311\) | 5.11443 | − | 11.4872i | 0.290013 | − | 0.651379i | −0.708511 | − | 0.705700i | \(-0.750633\pi\) |
0.998524 | + | 0.0543209i | \(0.0172994\pi\) | |||||||
\(312\) | 2.02383 | + | 1.83965i | 0.114577 | + | 0.104150i | ||||
\(313\) | −11.4400 | − | 2.43166i | −0.646630 | − | 0.137445i | −0.127089 | − | 0.991891i | \(-0.540563\pi\) |
−0.519540 | + | 0.854446i | \(0.673897\pi\) | |||||||
\(314\) | −1.20867 | − | 3.71990i | −0.0682091 | − | 0.209926i | ||||
\(315\) | 3.67248 | − | 10.9497i | 0.206921 | − | 0.616945i | ||||
\(316\) | −10.9999 | − | 15.1401i | −0.618792 | − | 0.851695i | ||||
\(317\) | 12.2252 | − | 11.0076i | 0.686636 | − | 0.618250i | −0.250128 | − | 0.968213i | \(-0.580473\pi\) |
0.936763 | + | 0.349963i | \(0.113806\pi\) | |||||||
\(318\) | 2.00489 | + | 4.56092i | 0.112429 | + | 0.255763i | ||||
\(319\) | −3.95791 | − | 1.75147i | −0.221600 | − | 0.0980632i | ||||
\(320\) | −8.93837 | + | 5.16057i | −0.499670 | + | 0.288485i | ||||
\(321\) | 4.13835 | − | 2.97692i | 0.230980 | − | 0.166156i | ||||
\(322\) | 0.338809 | + | 3.22355i | 0.0188811 | + | 0.179641i | ||||
\(323\) | 5.54990 | − | 7.63878i | 0.308805 | − | 0.425033i | ||||
\(324\) | 1.50497 | − | 12.1128i | 0.0836096 | − | 0.672931i | ||||
\(325\) | 1.86469 | − | 0.605874i | 0.103434 | − | 0.0336078i | ||||
\(326\) | −8.13619 | + | 3.62247i | −0.450622 | + | 0.200630i | ||||
\(327\) | −0.0117769 | + | 2.49329i | −0.000651264 | + | 0.137879i | ||||
\(328\) | 5.93087 | − | 1.26064i | 0.327477 | − | 0.0696074i | ||||
\(329\) | 7.71210 | + | 13.3578i | 0.425182 | + | 0.736437i | ||||
\(330\) | −9.91613 | + | 8.88439i | −0.545865 | + | 0.489070i | ||||
\(331\) | −9.81281 | + | 16.9963i | −0.539361 | + | 0.934201i | 0.459577 | + | 0.888138i | \(0.348001\pi\) |
−0.998939 | + | 0.0460631i | \(0.985332\pi\) | |||||||
\(332\) | −4.51104 | + | 13.8835i | −0.247575 | + | 0.761958i | ||||
\(333\) | −9.64556 | − | 7.14809i | −0.528573 | − | 0.391713i | ||||
\(334\) | 13.7871 | + | 10.0169i | 0.754395 | + | 0.548100i | ||||
\(335\) | −5.22688 | + | 24.5906i | −0.285575 | + | 1.34353i | ||||
\(336\) | −0.258910 | − | 1.24701i | −0.0141247 | − | 0.0680299i | ||||
\(337\) | 10.6020 | + | 1.11431i | 0.577527 | + | 0.0607005i | 0.388789 | − | 0.921327i | \(-0.372894\pi\) |
0.188738 | + | 0.982027i | \(0.439560\pi\) | |||||||
\(338\) | −9.27693 | − | 4.13036i | −0.504598 | − | 0.224662i | ||||
\(339\) | 1.34669 | − | 2.98667i | 0.0731422 | − | 0.162214i | ||||
\(340\) | 4.47195 | + | 2.58188i | 0.242526 | + | 0.140022i | ||||
\(341\) | −20.2954 | − | 14.6755i | −1.09905 | − | 0.794721i | ||||
\(342\) | 3.74407 | − | 16.8310i | 0.202456 | − | 0.910119i | ||||
\(343\) | 15.4939 | + | 5.03428i | 0.836592 | + | 0.271825i | ||||
\(344\) | 34.7486 | − | 3.65223i | 1.87352 | − | 0.196915i | ||||
\(345\) | 14.8184 | + | 3.22298i | 0.797796 | + | 0.173519i | ||||
\(346\) | −6.65365 | + | 7.38963i | −0.357703 | + | 0.397269i | ||||
\(347\) | 1.65292 | − | 1.83575i | 0.0887333 | − | 0.0985483i | −0.697143 | − | 0.716932i | \(-0.745546\pi\) |
0.785876 | + | 0.618384i | \(0.212212\pi\) | |||||||
\(348\) | 0.933489 | + | 2.91984i | 0.0500402 | + | 0.156520i | ||||
\(349\) | −12.7960 | + | 1.34492i | −0.684957 | + | 0.0719918i | −0.440613 | − | 0.897697i | \(-0.645239\pi\) |
−0.244343 | + | 0.969689i | \(0.578572\pi\) | |||||||
\(350\) | 3.40058 | + | 1.10491i | 0.181768 | + | 0.0590602i | ||||
\(351\) | −0.591191 | − | 2.98899i | −0.0315554 | − | 0.159540i | ||||
\(352\) | −5.93202 | + | 18.3983i | −0.316178 | + | 0.980631i | ||||
\(353\) | −2.97223 | − | 1.71602i | −0.158196 | − | 0.0913345i | 0.418812 | − | 0.908073i | \(-0.362447\pi\) |
−0.577008 | + | 0.816738i | \(0.695780\pi\) | |||||||
\(354\) | −4.86251 | − | 6.75958i | −0.258439 | − | 0.359268i | ||||
\(355\) | −12.6058 | − | 5.61247i | −0.669047 | − | 0.297879i | ||||
\(356\) | 11.9676 | + | 1.25784i | 0.634281 | + | 0.0666656i | ||||
\(357\) | 2.27082 | − | 2.02532i | 0.120185 | − | 0.107191i | ||||
\(358\) | −1.86209 | + | 8.76045i | −0.0984145 | + | 0.463004i | ||||
\(359\) | 4.07205 | + | 2.95852i | 0.214915 | + | 0.156145i | 0.690035 | − | 0.723776i | \(-0.257595\pi\) |
−0.475120 | + | 0.879921i | \(0.657595\pi\) | |||||||
\(360\) | 23.1838 | + | 2.65838i | 1.22189 | + | 0.140109i | ||||
\(361\) | −9.98469 | + | 30.7297i | −0.525510 | + | 1.61735i | ||||
\(362\) | −0.00763899 | + | 0.0132311i | −0.000401496 | + | 0.000695412i | ||||
\(363\) | −1.99537 | + | 18.9478i | −0.104730 | + | 0.994501i | ||||
\(364\) | −0.529934 | − | 0.917872i | −0.0277761 | − | 0.0481096i | ||||
\(365\) | 24.8098 | − | 5.27349i | 1.29861 | − | 0.276027i | ||||
\(366\) | 9.54342 | − | 5.44995i | 0.498842 | − | 0.284874i | ||||
\(367\) | −2.83110 | + | 1.26049i | −0.147782 | + | 0.0657969i | −0.479295 | − | 0.877654i | \(-0.659108\pi\) |
0.331513 | + | 0.943451i | \(0.392441\pi\) | |||||||
\(368\) | 1.59048 | − | 0.516779i | 0.0829097 | − | 0.0269390i | ||||
\(369\) | −6.14461 | − | 2.80560i | −0.319875 | − | 0.146054i | ||||
\(370\) | 5.45166 | − | 7.50356i | 0.283418 | − | 0.390092i | ||||
\(371\) | −0.499420 | − | 4.75166i | −0.0259286 | − | 0.246694i | ||||
\(372\) | 1.77084 | + | 17.6500i | 0.0918137 | + | 0.915108i | ||||
\(373\) | −7.33934 | + | 4.23737i | −0.380016 | + | 0.219403i | −0.677825 | − | 0.735223i | \(-0.737077\pi\) |
0.297809 | + | 0.954625i | \(0.403744\pi\) | |||||||
\(374\) | −3.42944 | + | 0.737057i | −0.177332 | + | 0.0381123i | ||||
\(375\) | −4.90243 | + | 6.68103i | −0.253161 | + | 0.345007i | ||||
\(376\) | −23.1605 | + | 20.8538i | −1.19441 | + | 1.07545i | ||||
\(377\) | 0.449777 | + | 0.619065i | 0.0231647 | + | 0.0318835i | ||||
\(378\) | 2.33174 | − | 5.04361i | 0.119932 | − | 0.259415i | ||||
\(379\) | 6.66353 | + | 20.5082i | 0.342283 | + | 1.05344i | 0.963023 | + | 0.269421i | \(0.0868322\pi\) |
−0.620740 | + | 0.784016i | \(0.713168\pi\) | |||||||
\(380\) | −27.4483 | − | 5.83433i | −1.40807 | − | 0.299295i | ||||
\(381\) | −7.79034 | + | 2.49062i | −0.399111 | + | 0.127598i | ||||
\(382\) | 0.853505 | − | 1.91700i | 0.0436691 | − | 0.0980824i | ||||
\(383\) | 6.68252 | + | 31.4388i | 0.341461 | + | 1.60645i | 0.728947 | + | 0.684570i | \(0.240010\pi\) |
−0.387486 | + | 0.921876i | \(0.626656\pi\) | |||||||
\(384\) | 13.9376 | − | 6.12672i | 0.711252 | − | 0.312653i | ||||
\(385\) | 11.6524 | − | 5.21959i | 0.593863 | − | 0.266015i | ||||
\(386\) | − | 10.3064i | − | 0.524580i | ||||||
\(387\) | −33.5243 | − | 19.7798i | −1.70413 | − | 1.00547i | ||||
\(388\) | −0.899932 | + | 0.653839i | −0.0456871 | + | 0.0331937i | ||||
\(389\) | 0.00565467 | + | 0.0127006i | 0.000286703 | + | 0.000643945i | 0.913689 | − | 0.406415i | \(-0.133221\pi\) |
−0.913402 | + | 0.407059i | \(0.866554\pi\) | |||||||
\(390\) | 2.30474 | − | 0.478521i | 0.116705 | − | 0.0242308i | ||||
\(391\) | 2.96915 | + | 2.67344i | 0.150157 | + | 0.135202i | ||||
\(392\) | −1.47041 | + | 13.9901i | −0.0742672 | + | 0.706605i | ||||
\(393\) | 6.77256 | + | 11.8594i | 0.341631 | + | 0.598230i | ||||
\(394\) | 3.69460 | + | 4.10327i | 0.186131 | + | 0.206720i | ||||
\(395\) | −39.8586 | −2.00550 | ||||||||
\(396\) | 10.9737 | − | 7.85299i | 0.551449 | − | 0.394628i | ||||
\(397\) | −13.9971 | −0.702496 | −0.351248 | − | 0.936283i | \(-0.614243\pi\) | ||||
−0.351248 | + | 0.936283i | \(0.614243\pi\) | |||||||
\(398\) | −0.0362764 | − | 0.0402890i | −0.00181837 | − | 0.00201951i | ||||
\(399\) | −8.33527 | + | 14.2809i | −0.417285 | + | 0.714940i | ||||
\(400\) | 0.192834 | − | 1.83469i | 0.00964170 | − | 0.0917347i | ||||
\(401\) | −26.4247 | − | 23.7930i | −1.31959 | − | 1.18816i | −0.967695 | − | 0.252123i | \(-0.918871\pi\) |
−0.351894 | − | 0.936040i | \(-0.614462\pi\) | |||||||
\(402\) | −3.79196 | + | 11.4856i | −0.189126 | + | 0.572848i | ||||
\(403\) | 1.80102 | + | 4.04517i | 0.0897154 | + | 0.201504i | ||||
\(404\) | −18.8134 | + | 13.6687i | −0.936000 | + | 0.680044i | ||||
\(405\) | −18.9874 | − | 17.7572i | −0.943490 | − | 0.882362i | ||||
\(406\) | 1.39548i | 0.0692567i | ||||||||
\(407\) | −1.41720 | − | 13.1967i | −0.0702478 | − | 0.654136i | ||||
\(408\) | 4.95681 | + | 3.63723i | 0.245399 | + | 0.180070i | ||||
\(409\) | −2.92170 | − | 13.7455i | −0.144469 | − | 0.679671i | −0.989450 | − | 0.144875i | \(-0.953722\pi\) |
0.844981 | − | 0.534796i | \(-0.179611\pi\) | |||||||
\(410\) | 2.12254 | − | 4.76731i | 0.104825 | − | 0.235441i | ||||
\(411\) | −2.47962 | + | 11.4006i | −0.122311 | + | 0.562352i | ||||
\(412\) | 12.9429 | + | 2.75109i | 0.637649 | + | 0.135536i | ||||
\(413\) | 2.46762 | + | 7.59455i | 0.121424 | + | 0.373703i | ||||
\(414\) | 6.91741 | + | 2.32007i | 0.339972 | + | 0.114025i | ||||
\(415\) | 18.2753 | + | 25.1538i | 0.897099 | + | 1.23475i | ||||
\(416\) | 2.53983 | − | 2.28688i | 0.124526 | − | 0.112123i | ||||
\(417\) | −12.7672 | − | 1.40289i | −0.625214 | − | 0.0687000i | ||||
\(418\) | 16.4868 | − | 9.56842i | 0.806396 | − | 0.468007i | ||||
\(419\) | −2.56407 | + | 1.48037i | −0.125263 | + | 0.0723206i | −0.561322 | − | 0.827597i | \(-0.689707\pi\) |
0.436059 | + | 0.899918i | \(0.356374\pi\) | |||||||
\(420\) | −8.24379 | − | 3.71713i | −0.402256 | − | 0.181377i | ||||
\(421\) | −2.20232 | − | 20.9537i | −0.107335 | − | 1.02122i | −0.907102 | − | 0.420911i | \(-0.861710\pi\) |
0.799767 | − | 0.600310i | \(-0.204956\pi\) | |||||||
\(422\) | 0.574241 | − | 0.790375i | 0.0279536 | − | 0.0384749i | ||||
\(423\) | 34.5621 | − | 3.30284i | 1.68047 | − | 0.160589i | ||||
\(424\) | 9.18141 | − | 2.98322i | 0.445889 | − | 0.144878i | ||||
\(425\) | 4.02639 | − | 1.79266i | 0.195309 | − | 0.0869570i | ||||
\(426\) | −5.73369 | − | 3.34656i | −0.277798 | − | 0.162141i | ||||
\(427\) | −10.3090 | + | 2.19125i | −0.498887 | + | 0.106042i | ||||
\(428\) | −1.99583 | − | 3.45688i | −0.0964720 | − | 0.167094i | ||||
\(429\) | 1.98664 | − | 2.72026i | 0.0959159 | − | 0.131335i | ||||
\(430\) | 15.0357 | − | 26.0425i | 0.725084 | − | 1.25588i | ||||
\(431\) | −11.7908 | + | 36.2884i | −0.567944 | + | 1.74795i | 0.0910950 | + | 0.995842i | \(0.470963\pi\) |
−0.659039 | + | 0.752109i | \(0.729037\pi\) | |||||||
\(432\) | −2.79548 | − | 0.635728i | −0.134498 | − | 0.0305865i | ||||
\(433\) | 17.1848 | + | 12.4855i | 0.825848 | + | 0.600014i | 0.918382 | − | 0.395696i | \(-0.129497\pi\) |
−0.0925338 | + | 0.995710i | \(0.529497\pi\) | |||||||
\(434\) | −1.67893 | + | 7.89872i | −0.0805910 | + | 0.379151i | ||||
\(435\) | 6.19980 | + | 2.04686i | 0.297258 | + | 0.0981395i | ||||
\(436\) | 1.94159 | + | 0.204070i | 0.0929855 | + | 0.00977317i | ||||
\(437\) | −19.8351 | − | 8.83116i | −0.948842 | − | 0.422452i | ||||
\(438\) | 12.1422 | − | 1.21824i | 0.580178 | − | 0.0582098i | ||||
\(439\) | 23.8477 | + | 13.7685i | 1.13819 | + | 0.657134i | 0.945982 | − | 0.324220i | \(-0.105102\pi\) |
0.192208 | + | 0.981354i | \(0.438435\pi\) | |||||||
\(440\) | 15.2112 | + | 20.8372i | 0.725165 | + | 0.993374i | ||||
\(441\) | 10.5957 | − | 11.5465i | 0.504557 | − | 0.549832i | ||||
\(442\) | 0.589813 | + | 0.191642i | 0.0280545 | + | 0.00911547i | ||||
\(443\) | −26.6084 | + | 2.79665i | −1.26420 | + | 0.132873i | −0.712801 | − | 0.701367i | \(-0.752574\pi\) |
−0.551402 | + | 0.834240i | \(0.685907\pi\) | |||||||
\(444\) | −6.32303 | + | 6.95608i | −0.300078 | + | 0.330121i | ||||
\(445\) | 17.1496 | − | 19.0466i | 0.812971 | − | 0.902895i | ||||
\(446\) | 7.00725 | − | 7.78234i | 0.331803 | − | 0.368505i | ||||
\(447\) | 7.17997 | − | 7.89881i | 0.339601 | − | 0.373601i | ||||
\(448\) | 4.73601 | − | 0.497775i | 0.223755 | − | 0.0235176i | ||||
\(449\) | −28.1364 | − | 9.14206i | −1.32784 | − | 0.431441i | −0.442658 | − | 0.896690i | \(-0.645964\pi\) |
−0.885179 | + | 0.465250i | \(0.845964\pi\) | |||||||
\(450\) | 5.44180 | − | 5.93010i | 0.256529 | − | 0.279548i | ||||
\(451\) | −2.32371 | − | 7.09700i | −0.109419 | − | 0.334185i | ||||
\(452\) | −2.22164 | − | 1.28266i | −0.104497 | − | 0.0603314i | ||||
\(453\) | 33.9805 | − | 3.40930i | 1.59654 | − | 0.160183i | ||||
\(454\) | −0.579840 | − | 0.258161i | −0.0272132 | − | 0.0121161i | ||||
\(455\) | −2.24501 | − | 0.235960i | −0.105248 | − | 0.0110620i | ||||
\(456\) | −31.7265 | − | 10.4745i | −1.48573 | − | 0.490513i | ||||
\(457\) | 0.0682681 | − | 0.321176i | 0.00319345 | − | 0.0150240i | −0.976522 | − | 0.215418i | \(-0.930889\pi\) |
0.979715 | + | 0.200394i | \(0.0642221\pi\) | |||||||
\(458\) | −6.34026 | − | 4.60647i | −0.296261 | − | 0.215246i | ||||
\(459\) | −2.02402 | − | 6.54335i | −0.0944731 | − | 0.305418i | ||||
\(460\) | 3.66933 | − | 11.2930i | 0.171083 | − | 0.526541i | ||||
\(461\) | 1.59304 | − | 2.75923i | 0.0741955 | − | 0.128510i | −0.826541 | − | 0.562877i | \(-0.809694\pi\) |
0.900736 | + | 0.434367i | \(0.143028\pi\) | |||||||
\(462\) | 5.84697 | − | 1.88389i | 0.272026 | − | 0.0876464i | ||||
\(463\) | −13.6457 | − | 23.6350i | −0.634169 | − | 1.09841i | −0.986691 | − | 0.162609i | \(-0.948009\pi\) |
0.352521 | − | 0.935804i | \(-0.385324\pi\) | |||||||
\(464\) | 0.704259 | − | 0.149695i | 0.0326944 | − | 0.00694941i | ||||
\(465\) | 32.6295 | + | 19.0447i | 1.51316 | + | 0.883177i | ||||
\(466\) | −12.1472 | + | 5.40829i | −0.562709 | + | 0.250534i | ||||
\(467\) | 17.3622 | − | 5.64132i | 0.803427 | − | 0.261049i | 0.121615 | − | 0.992577i | \(-0.461193\pi\) |
0.681811 | + | 0.731528i | \(0.261193\pi\) | |||||||
\(468\) | −2.37492 | + | 0.226953i | −0.109781 | + | 0.0104909i | ||||
\(469\) | 6.81794 | − | 9.38409i | 0.314823 | − | 0.433317i | ||||
\(470\) | 2.80375 | + | 26.6759i | 0.129327 | + | 1.23047i | ||||
\(471\) | 7.69705 | + | 3.47060i | 0.354662 | + | 0.159917i | ||||
\(472\) | −13.9733 | + | 8.06747i | −0.643172 | + | 0.371336i | ||||
\(473\) | −9.04212 | − | 42.0720i | −0.415757 | − | 1.93447i | ||||
\(474\) | −19.0620 | − | 2.09458i | −0.875548 | − | 0.0962072i | ||||
\(475\) | −17.7993 | + | 16.0266i | −0.816690 | + | 0.735351i | ||||
\(476\) | −1.40041 | − | 1.92750i | −0.0641878 | − | 0.0883469i | ||||
\(477\) | −10.1966 | − | 3.41990i | −0.466870 | − | 0.156586i | ||||
\(478\) | 0.301618 | + | 0.928285i | 0.0137957 | + | 0.0424588i | ||||
\(479\) | 12.3864 | + | 2.63282i | 0.565951 | + | 0.120297i | 0.481997 | − | 0.876173i | \(-0.339912\pi\) |
0.0839544 | + | 0.996470i | \(0.473245\pi\) | |||||||
\(480\) | 6.19748 | − | 28.4944i | 0.282875 | − | 1.30059i | ||||
\(481\) | −0.954437 | + | 2.14370i | −0.0435186 | + | 0.0977444i | ||||
\(482\) | 0.126571 | + | 0.595470i | 0.00576515 | + | 0.0271229i | ||||
\(483\) | −5.64116 | − | 4.13939i | −0.256682 | − | 0.188349i | ||||
\(484\) | 14.6062 | + | 3.03569i | 0.663918 | + | 0.137986i | ||||
\(485\) | 2.36921i | 0.107580i | ||||||||
\(486\) | −8.14741 | − | 9.49003i | −0.369574 | − | 0.430476i | ||||
\(487\) | 12.3473 | − | 8.97085i | 0.559510 | − | 0.406508i | −0.271769 | − | 0.962362i | \(-0.587609\pi\) |
0.831280 | + | 0.555854i | \(0.187609\pi\) | |||||||
\(488\) | −8.66158 | − | 19.4542i | −0.392091 | − | 0.880652i | ||||
\(489\) | 6.02733 | − | 18.2564i | 0.272565 | − | 0.825581i | ||||
\(490\) | 8.99722 | + | 8.10113i | 0.406453 | + | 0.365972i | ||||
\(491\) | 2.96920 | − | 28.2501i | 0.133998 | − | 1.27491i | −0.696365 | − | 0.717687i | \(-0.745201\pi\) |
0.830364 | − | 0.557222i | \(-0.188133\pi\) | |||||||
\(492\) | −2.66615 | + | 4.56794i | −0.120199 | + | 0.205938i | ||||
\(493\) | 1.15100 | + | 1.27831i | 0.0518384 | + | 0.0575724i | ||||
\(494\) | −3.37018 | −0.151632 | ||||||||
\(495\) | 0.206538 | − | 28.7399i | 0.00928321 | − | 1.29176i | ||||
\(496\) | 4.16635 | 0.187074 | ||||||||
\(497\) | 4.26013 | + | 4.73135i | 0.191093 | + | 0.212230i | ||||
\(498\) | 7.41817 | + | 12.9900i | 0.332416 | + | 0.582094i | ||||
\(499\) | 2.28531 | − | 21.7433i | 0.102305 | − | 0.973363i | −0.816151 | − | 0.577839i | \(-0.803896\pi\) |
0.918456 | − | 0.395524i | \(-0.129437\pi\) | |||||||
\(500\) | 4.82196 | + | 4.34171i | 0.215644 | + | 0.194167i | ||||
\(501\) | −36.0195 | + | 7.47854i | −1.60923 | + | 0.334117i | ||||
\(502\) | −3.20642 | − | 7.20174i | −0.143110 | − | 0.321429i | ||||
\(503\) | 16.0796 | − | 11.6825i | 0.716954 | − | 0.520898i | −0.168455 | − | 0.985709i | \(-0.553878\pi\) |
0.885410 | + | 0.464812i | \(0.153878\pi\) | |||||||
\(504\) | −9.27316 | − | 5.47131i | −0.413060 | − | 0.243712i | ||||
\(505\) | 49.5291i | 2.20402i | ||||||||
\(506\) | 3.29745 | + | 7.36137i | 0.146590 | + | 0.327253i | ||||
\(507\) | 20.0678 | − | 8.82143i | 0.891244 | − | 0.391774i | ||||
\(508\) | 1.33148 | + | 6.26412i | 0.0590748 | + | 0.277925i | ||||
\(509\) | −12.5317 | + | 28.1466i | −0.555457 | + | 1.24758i | 0.389694 | + | 0.920945i | \(0.372581\pi\) |
−0.945151 | + | 0.326633i | \(0.894086\pi\) | |||||||
\(510\) | 5.04011 | − | 1.61135i | 0.223180 | − | 0.0713518i | ||||
\(511\) | −11.4471 | − | 2.43315i | −0.506388 | − | 0.107636i | ||||
\(512\) | −1.91196 | − | 5.88441i | −0.0844976 | − | 0.260057i | ||||
\(513\) | 21.4491 | + | 30.4194i | 0.946999 | + | 1.34305i | ||||
\(514\) | −10.5099 | − | 14.4656i | −0.463570 | − | 0.638049i | ||||
\(515\) | 20.9436 | − | 18.8577i | 0.922884 | − | 0.830969i | ||||
\(516\) | −18.0309 | + | 24.5725i | −0.793767 | + | 1.08174i | ||||
\(517\) | 28.5828 | + | 25.6193i | 1.25707 | + | 1.12674i | ||||
\(518\) | −3.70605 | + | 2.13969i | −0.162834 | + | 0.0940125i | ||||
\(519\) | −2.14288 | − | 21.3581i | −0.0940620 | − | 0.937517i | ||||
\(520\) | −0.476771 | − | 4.53617i | −0.0209078 | − | 0.198924i | ||||
\(521\) | −16.6718 | + | 22.9468i | −0.730405 | + | 1.00532i | 0.268709 | + | 0.963221i | \(0.413403\pi\) |
−0.999114 | + | 0.0420947i | \(0.986597\pi\) | |||||||
\(522\) | 2.85744 | + | 1.30470i | 0.125067 | + | 0.0571050i | ||||
\(523\) | −12.9420 | + | 4.20510i | −0.565913 | + | 0.183876i | −0.577980 | − | 0.816051i | \(-0.696159\pi\) |
0.0120671 | + | 0.999927i | \(0.496159\pi\) | |||||||
\(524\) | 9.76905 | − | 4.34946i | 0.426763 | − | 0.190007i | ||||
\(525\) | −6.70260 | + | 3.82765i | −0.292526 | + | 0.167052i | ||||
\(526\) | −12.0628 | + | 2.56402i | −0.525962 | + | 0.111797i | ||||
\(527\) | 4.97693 | + | 8.62030i | 0.216799 | + | 0.375506i | ||||
\(528\) | −1.57795 | − | 2.74870i | −0.0686715 | − | 0.119622i | ||||
\(529\) | −6.90625 | + | 11.9620i | −0.300272 | + | 0.520086i | ||||
\(530\) | 2.56753 | − | 7.90204i | 0.111526 | − | 0.343242i | ||||
\(531\) | 17.8579 | + | 2.04768i | 0.774968 | + | 0.0888619i | ||||
\(532\) | 10.4747 | + | 7.61029i | 0.454134 | + | 0.329948i | ||||
\(533\) | −0.274503 | + | 1.29143i | −0.0118900 | + | 0.0559382i | ||||
\(534\) | 9.20258 | − | 8.20766i | 0.398234 | − | 0.355180i | ||||
\(535\) | −8.45511 | − | 0.888668i | −0.365546 | − | 0.0384205i | ||||
\(536\) | 21.4110 | + | 9.53278i | 0.924813 | + | 0.411753i | ||||
\(537\) | −11.2899 | − | 15.6946i | −0.487197 | − | 0.677273i | ||||
\(538\) | −0.662255 | − | 0.382353i | −0.0285518 | − | 0.0164844i | ||||
\(539\) | 17.3252 | − | 0.0391632i | 0.746251 | − | 0.00168688i | ||||
\(540\) | −15.3188 | + | 13.4050i | −0.659215 | + | 0.576858i | ||||
\(541\) | −17.0525 | − | 5.54068i | −0.733142 | − | 0.238212i | −0.0814304 | − | 0.996679i | \(-0.525949\pi\) |
−0.651712 | + | 0.758467i | \(0.725949\pi\) | |||||||
\(542\) | −17.8447 | + | 1.87555i | −0.766494 | + | 0.0805617i | ||||
\(543\) | −0.0100432 | − | 0.0314139i | −0.000430995 | − | 0.00134810i | ||||
\(544\) | 5.14077 | − | 5.70941i | 0.220409 | − | 0.244789i | ||||
\(545\) | 2.78232 | − | 3.09008i | 0.119181 | − | 0.132364i | ||||
\(546\) | −1.06126 | − | 0.230822i | −0.0454176 | − | 0.00987825i | ||||
\(547\) | −20.8643 | + | 2.19293i | −0.892095 | + | 0.0937630i | −0.539473 | − | 0.842003i | \(-0.681376\pi\) |
−0.352622 | + | 0.935766i | \(0.614710\pi\) | |||||||
\(548\) | 8.68837 | + | 2.82302i | 0.371149 | + | 0.120594i | ||||
\(549\) | −5.15145 | + | 23.1577i | −0.219858 | + | 0.988348i | ||||
\(550\) | 8.89799 | − | 0.0201137i | 0.379412 | − | 0.000857649i | ||||
\(551\) | −8.09543 | − | 4.67390i | −0.344877 | − | 0.199115i | ||||
\(552\) | 5.81128 | − | 12.8882i | 0.247345 | − | 0.548557i | ||||
\(553\) | 16.8005 | + | 7.48007i | 0.714430 | + | 0.318085i | ||||
\(554\) | −8.27278 | − | 0.869505i | −0.351477 | − | 0.0369417i | ||||
\(555\) | 4.07017 | + | 19.6035i | 0.172769 | + | 0.832123i | ||||
\(556\) | −2.09097 | + | 9.83726i | −0.0886770 | + | 0.417193i | ||||
\(557\) | 6.91677 | + | 5.02533i | 0.293073 | + | 0.212930i | 0.724599 | − | 0.689170i | \(-0.242025\pi\) |
−0.431526 | + | 0.902100i | \(0.642025\pi\) | |||||||
\(558\) | 14.6040 | + | 10.8227i | 0.618236 | + | 0.458160i | ||||
\(559\) | −2.35104 | + | 7.23574i | −0.0994382 | + | 0.306039i | ||||
\(560\) | −1.06200 | + | 1.83943i | −0.0448775 | + | 0.0777301i | ||||
\(561\) | 3.80220 | − | 6.54831i | 0.160529 | − | 0.276470i | ||||
\(562\) | 3.81202 | + | 6.60262i | 0.160800 | + | 0.278515i | ||||
\(563\) | 32.7814 | − | 6.96790i | 1.38157 | − | 0.293662i | 0.543585 | − | 0.839354i | \(-0.317067\pi\) |
0.837986 | + | 0.545692i | \(0.183733\pi\) | |||||||
\(564\) | 0.128409 | − | 27.1854i | 0.00540698 | − | 1.14471i | ||||
\(565\) | −4.99143 | + | 2.22233i | −0.209991 | + | 0.0934939i | ||||
\(566\) | 9.47118 | − | 3.07737i | 0.398103 | − | 0.129352i | ||||
\(567\) | 4.67082 | + | 11.0480i | 0.196156 | + | 0.463972i | ||||
\(568\) | −7.56140 | + | 10.4074i | −0.317269 | + | 0.436683i | ||||
\(569\) | 4.15034 | + | 39.4878i | 0.173991 | + | 1.65542i | 0.638334 | + | 0.769760i | \(0.279624\pi\) |
−0.464343 | + | 0.885656i | \(0.653709\pi\) | |||||||
\(570\) | −23.3431 | + | 16.7918i | −0.977734 | + | 0.703333i | ||||
\(571\) | −11.7014 | + | 6.75580i | −0.489688 | + | 0.282721i | −0.724445 | − | 0.689333i | \(-0.757904\pi\) |
0.234757 | + | 0.972054i | \(0.424570\pi\) | |||||||
\(572\) | −1.96406 | − | 1.76042i | −0.0821213 | − | 0.0736069i | ||||
\(573\) | 1.82288 | + | 4.14686i | 0.0761518 | + | 0.173237i | ||||
\(574\) | −1.78932 | + | 1.61111i | −0.0746847 | + | 0.0672464i | ||||
\(575\) | −5.95720 | − | 8.19938i | −0.248432 | − | 0.341938i | ||||
\(576\) | 3.40863 | − | 10.1630i | 0.142026 | − | 0.423458i | ||||
\(577\) | −10.9864 | − | 33.8127i | −0.457370 | − | 1.40764i | −0.868330 | − | 0.495987i | \(-0.834806\pi\) |
0.410960 | − | 0.911654i | \(-0.365194\pi\) | |||||||
\(578\) | −11.9785 | − | 2.54611i | −0.498240 | − | 0.105904i | ||||
\(579\) | 16.4631 | + | 14.9649i | 0.684183 | + | 0.621918i | ||||
\(580\) | 2.07933 | − | 4.67024i | 0.0863393 | − | 0.193921i | ||||
\(581\) | −2.98260 | − | 14.0320i | −0.123739 | − | 0.582147i | ||||
\(582\) | −0.124503 | + | 1.13306i | −0.00516081 | + | 0.0469667i | ||||
\(583\) | −4.86060 | − | 10.8510i | −0.201305 | − | 0.449403i | ||||
\(584\) | − | 23.6462i | − | 0.978487i | ||||||
\(585\) | −2.58211 | + | 4.37634i | −0.106757 | + | 0.180939i | ||||
\(586\) | 16.9001 | − | 12.2786i | 0.698137 | − | 0.507226i | ||||
\(587\) | −10.3483 | − | 23.2428i | −0.427122 | − | 0.959331i | −0.991048 | − | 0.133506i | \(-0.957376\pi\) |
0.563926 | − | 0.825825i | \(-0.309290\pi\) | |||||||
\(588\) | −8.16758 | − | 9.15764i | −0.336825 | − | 0.377655i | ||||
\(589\) | −40.1985 | − | 36.1949i | −1.65635 | − | 1.49139i | ||||
\(590\) | −1.45155 | + | 13.8106i | −0.0597593 | + | 0.568572i | ||||
\(591\) | −11.9190 | − | 0.0562988i | −0.490283 | − | 0.00231582i | ||||
\(592\) | 1.47739 | + | 1.64080i | 0.0607202 | + | 0.0674366i | ||||
\(593\) | 26.4048 | 1.08431 | 0.542157 | − | 0.840277i | \(-0.317608\pi\) | ||||
0.542157 | + | 0.840277i | \(0.317608\pi\) | |||||||
\(594\) | 1.60907 | − | 13.7338i | 0.0660207 | − | 0.563503i | ||||
\(595\) | −5.07445 | −0.208032 | ||||||||
\(596\) | −5.59270 | − | 6.21132i | −0.229086 | − | 0.254426i | ||||
\(597\) | 0.117030 | 0.000552784i | 0.00478972 | 2.26239e-5i | ||||||
\(598\) | 0.149067 | − | 1.41827i | 0.00609578 | − | 0.0579975i | ||||
\(599\) | 8.53053 | + | 7.68093i | 0.348548 | + | 0.313834i | 0.824745 | − | 0.565504i | \(-0.191318\pi\) |
−0.476197 | + | 0.879339i | \(0.657985\pi\) | |||||||
\(600\) | −10.3807 | − | 11.6391i | −0.423792 | − | 0.475163i | ||||
\(601\) | −12.2205 | − | 27.4476i | −0.498483 | − | 1.11961i | −0.971172 | − | 0.238381i | \(-0.923383\pi\) |
0.472689 | − | 0.881229i | \(-0.343283\pi\) | |||||||
\(602\) | −11.2249 | + | 8.15534i | −0.457491 | + | 0.332387i | ||||
\(603\) | −12.8408 | − | 22.7342i | −0.522918 | − | 0.925809i | ||||
\(604\) | − | 26.7406i | − | 1.08806i | ||||||
\(605\) | 23.5163 | − | 21.3675i | 0.956074 | − | 0.868711i | ||||
\(606\) | −2.60277 | + | 23.6869i | −0.105730 | + | 0.962214i | ||||
\(607\) | 8.03806 | + | 37.8161i | 0.326255 | + | 1.53491i | 0.769582 | + | 0.638549i | \(0.220465\pi\) |
−0.443327 | + | 0.896360i | \(0.646202\pi\) | |||||||
\(608\) | −16.9815 | + | 38.1411i | −0.688690 | + | 1.54682i | ||||
\(609\) | −2.22911 | − | 2.02625i | −0.0903281 | − | 0.0821076i | ||||
\(610\) | −17.9274 | − | 3.81059i | −0.725860 | − | 0.154286i | ||||
\(611\) | −2.09706 | − | 6.45408i | −0.0848379 | − | 0.261104i | ||||
\(612\) | −5.25612 | + | 1.06543i | −0.212466 | + | 0.0430674i | ||||
\(613\) | 17.6204 | + | 24.2524i | 0.711681 | + | 0.979545i | 0.999759 | + | 0.0219380i | \(0.00698363\pi\) |
−0.288078 | + | 0.957607i | \(0.593016\pi\) | |||||||
\(614\) | −10.7493 | + | 9.67869i | −0.433805 | + | 0.390600i | ||||
\(615\) | 4.53324 | + | 10.3126i | 0.182798 | + | 0.415846i | ||||
\(616\) | −2.50115 | − | 11.6375i | −0.100774 | − | 0.468890i | ||||
\(617\) | −3.50285 | + | 2.02237i | −0.141019 | + | 0.0814176i | −0.568850 | − | 0.822441i | \(-0.692611\pi\) |
0.427830 | + | 0.903859i | \(0.359278\pi\) | |||||||
\(618\) | 11.0071 | − | 7.91794i | 0.442769 | − | 0.318506i | ||||
\(619\) | 2.74139 | + | 26.0826i | 0.110186 | + | 1.04835i | 0.900265 | + | 0.435343i | \(0.143373\pi\) |
−0.790079 | + | 0.613005i | \(0.789961\pi\) | |||||||
\(620\) | 17.3882 | − | 23.9329i | 0.698328 | − | 0.961167i | ||||
\(621\) | −13.7501 | + | 7.68093i | −0.551773 | + | 0.308225i | ||||
\(622\) | −9.59538 | + | 3.11773i | −0.384740 | + | 0.125009i | ||||
\(623\) | −10.8030 | + | 4.80981i | −0.432813 | + | 0.192701i | ||||
\(624\) | −0.00264675 | + | 0.560345i | −0.000105955 | + | 0.0224317i | ||||
\(625\) | 29.8709 | − | 6.34925i | 1.19483 | − | 0.253970i | ||||
\(626\) | 4.69208 | + | 8.12692i | 0.187533 | + | 0.324817i | ||||
\(627\) | −8.65454 | + | 40.2289i | −0.345629 | + | 1.60659i | ||||
\(628\) | 3.30560 | − | 5.72546i | 0.131908 | − | 0.228471i | ||||
\(629\) | −1.63005 | + | 5.01679i | −0.0649945 | + | 0.200033i | ||||
\(630\) | −8.50071 | + | 3.68894i | −0.338676 | + | 0.146971i | ||||
\(631\) | 12.4984 | + | 9.08065i | 0.497555 | + | 0.361495i | 0.808082 | − | 0.589070i | \(-0.200506\pi\) |
−0.310527 | + | 0.950564i | \(0.600506\pi\) | |||||||
\(632\) | −7.72579 | + | 36.3470i | −0.307315 | + | 1.44581i | ||||
\(633\) | 0.428725 | + | 2.06490i | 0.0170403 | + | 0.0820725i | ||||
\(634\) | −13.1271 | − | 1.37971i | −0.521344 | − | 0.0547955i | ||||
\(635\) | 12.4606 | + | 5.54780i | 0.494482 | + | 0.220158i | ||||
\(636\) | −3.46147 | + | 7.67680i | −0.137256 | + | 0.304405i | ||||
\(637\) | −2.65271 | − | 1.53154i | −0.105104 | − | 0.0606819i | ||||
\(638\) | 1.08060 | + | 3.30034i | 0.0427813 | + | 0.130662i | ||||
\(639\) | 13.6710 | − | 4.29964i | 0.540818 | − | 0.170091i | ||||
\(640\) | −24.1477 | − | 7.84607i | −0.954522 | − | 0.310143i | ||||
\(641\) | 12.4339 | − | 1.30685i | 0.491108 | − | 0.0516176i | 0.144262 | − | 0.989540i | \(-0.453919\pi\) |
0.346846 | + | 0.937922i | \(0.387253\pi\) | |||||||
\(642\) | −3.99689 | − | 0.869317i | −0.157745 | − | 0.0343092i | ||||
\(643\) | −3.46334 | + | 3.84642i | −0.136581 | + | 0.151688i | −0.807555 | − | 0.589793i | \(-0.799209\pi\) |
0.670974 | + | 0.741481i | \(0.265876\pi\) | |||||||
\(644\) | −3.66595 | + | 4.07144i | −0.144458 | + | 0.160437i | ||||
\(645\) | 19.7678 | + | 61.8314i | 0.778358 | + | 2.43461i | ||||
\(646\) | −7.53447 | + | 0.791905i | −0.296440 | + | 0.0311571i | ||||
\(647\) | 5.07677 | + | 1.64954i | 0.199588 | + | 0.0648502i | 0.407105 | − | 0.913381i | \(-0.366538\pi\) |
−0.207517 | + | 0.978231i | \(0.566538\pi\) | |||||||
\(648\) | −19.8731 | + | 13.8727i | −0.780689 | + | 0.544970i | ||||
\(649\) | 11.7168 | + | 16.0504i | 0.459925 | + | 0.630033i | ||||
\(650\) | −1.36239 | − | 0.786578i | −0.0534375 | − | 0.0308521i | ||||
\(651\) | −10.1794 | − | 14.1508i | −0.398962 | − | 0.554615i | ||||
\(652\) | −13.7523 | − | 6.12293i | −0.538583 | − | 0.239793i | ||||
\(653\) | −4.72225 | − | 0.496328i | −0.184796 | − | 0.0194228i | 0.0116784 | − | 0.999932i | \(-0.496283\pi\) |
−0.196474 | + | 0.980509i | \(0.562949\pi\) | |||||||
\(654\) | 1.49301 | − | 1.33159i | 0.0583811 | − | 0.0520694i | ||||
\(655\) | 4.73536 | − | 22.2781i | 0.185026 | − | 0.870478i | ||||
\(656\) | 1.00502 | + | 0.730189i | 0.0392394 | + | 0.0285091i | ||||
\(657\) | −15.6845 | + | 21.1645i | −0.611912 | + | 0.825707i | ||||
\(658\) | 3.82435 | − | 11.7701i | 0.149089 | − | 0.458847i | ||||
\(659\) | 19.9356 | − | 34.5295i | 0.776581 | − | 1.34508i | −0.157321 | − | 0.987547i | \(-0.550286\pi\) |
0.933902 | − | 0.357529i | \(-0.116381\pi\) | |||||||
\(660\) | −22.3750 | − | 2.40744i | −0.870947 | − | 0.0937095i | ||||
\(661\) | −10.4257 | − | 18.0579i | −0.405515 | − | 0.702372i | 0.588867 | − | 0.808230i | \(-0.299574\pi\) |
−0.994381 | + | 0.105858i | \(0.966241\pi\) | |||||||
\(662\) | 15.4028 | − | 3.27397i | 0.598647 | − | 0.127246i | ||||
\(663\) | −1.16253 | + | 0.663887i | −0.0451490 | + | 0.0257832i | ||||
\(664\) | 26.4800 | − | 11.7897i | 1.02762 | − | 0.457528i | ||||
\(665\) | 26.2265 | − | 8.52151i | 1.01702 | − | 0.330450i | ||||
\(666\) | 0.916357 | + | 9.58911i | 0.0355081 | + | 0.371570i | ||||
\(667\) | 2.32499 | − | 3.20007i | 0.0900239 | − | 0.123907i | ||||
\(668\) | 3.01095 | + | 28.6473i | 0.116497 | + | 1.10840i | ||||
\(669\) | 2.25676 | + | 22.4932i | 0.0872514 | + | 0.869636i | ||||
\(670\) | 17.4689 | − | 10.0857i | 0.674884 | − | 0.389645i | ||||
\(671\) | −22.6841 | + | 13.1651i | −0.875710 | + | 0.508234i | ||||
\(672\) | −7.95967 | + | 10.8474i | −0.307051 | + | 0.418448i | ||||
\(673\) | −15.2185 | + | 13.7028i | −0.586629 | + | 0.528203i | −0.908120 | − | 0.418709i | \(-0.862483\pi\) |
0.321491 | + | 0.946913i | \(0.395816\pi\) | |||||||
\(674\) | −5.02763 | − | 6.91994i | −0.193657 | − | 0.266546i | ||||
\(675\) | 1.57108 | + | 17.3031i | 0.0604710 | + | 0.665996i | ||||
\(676\) | −5.30410 | − | 16.3243i | −0.204004 | − | 0.627859i | ||||
\(677\) | −6.69542 | − | 1.42315i | −0.257326 | − | 0.0546963i | 0.0774423 | − | 0.996997i | \(-0.475325\pi\) |
−0.334768 | + | 0.942301i | \(0.608658\pi\) | |||||||
\(678\) | −2.50389 | + | 0.800508i | −0.0961614 | + | 0.0307433i | ||||
\(679\) | 0.444619 | − | 0.998630i | 0.0170629 | − | 0.0383239i | ||||
\(680\) | −2.13177 | − | 10.0292i | −0.0817495 | − | 0.384601i | ||||
\(681\) | 1.25431 | − | 0.551370i | 0.0480652 | − | 0.0211285i | ||||
\(682\) | 2.14573 | + | 19.9806i | 0.0821641 | + | 0.765098i | ||||
\(683\) | − | 4.76117i | − | 0.182181i | −0.995843 | − | 0.0910905i | \(-0.970965\pi\) | ||
0.995843 | − | 0.0910905i | \(-0.0290353\pi\) | |||||||
\(684\) | 25.3763 | − | 14.3331i | 0.970286 | − | 0.548039i | ||||
\(685\) | 15.7413 | − | 11.4368i | 0.601446 | − | 0.436976i | ||||
\(686\) | −5.31667 | − | 11.9414i | −0.202992 | − | 0.455926i | ||||
\(687\) | 16.5643 | − | 3.43916i | 0.631968 | − | 0.131212i | ||||
\(688\) | 5.31985 | + | 4.79002i | 0.202817 | + | 0.182618i | ||||
\(689\) | −0.219731 | + | 2.09060i | −0.00837109 | + | 0.0796456i | ||||
\(690\) | −6.03403 | − | 10.5662i | −0.229712 | − | 0.402248i | ||||
\(691\) | 33.1686 | + | 36.8375i | 1.26179 | + | 1.40136i | 0.878504 | + | 0.477735i | \(0.158542\pi\) |
0.383290 | + | 0.923628i | \(0.374791\pi\) | |||||||
\(692\) | −16.8075 | −0.638927 | ||||||||
\(693\) | −5.48054 | + | 12.0752i | −0.208188 | + | 0.458699i | ||||
\(694\) | −1.98204 | −0.0752372 | ||||||||
\(695\) | 14.3328 | + | 15.9182i | 0.543676 | + | 0.603813i | ||||
\(696\) | 3.06824 | − | 5.25685i | 0.116301 | − | 0.199260i | ||||
\(697\) | −0.310233 | + | 2.95167i | −0.0117509 | + | 0.111802i | ||||
\(698\) | 7.67197 | + | 6.90787i | 0.290388 | + | 0.261467i | ||||
\(699\) | 8.99872 | − | 27.2565i | 0.340363 | − | 1.03093i | ||||
\(700\) | 2.45819 | + | 5.52117i | 0.0929107 | + | 0.208681i | ||||
\(701\) | 18.5663 | − | 13.4892i | 0.701240 | − | 0.509480i | −0.179096 | − | 0.983832i | \(-0.557317\pi\) |
0.880336 | + | 0.474351i | \(0.157317\pi\) | |||||||
\(702\) | −1.46485 | + | 1.95726i | −0.0552872 | + | 0.0738720i | ||||
\(703\) | − | 28.6659i | − | 1.08115i | ||||||
\(704\) | 10.8153 | − | 4.84459i | 0.407615 | − | 0.182587i | ||||
\(705\) | −46.6823 | − | 34.2548i | −1.75816 | − | 1.29011i | ||||
\(706\) | 0.572536 | + | 2.69357i | 0.0215477 | + | 0.101374i | ||||
\(707\) | 9.29489 | − | 20.8767i | 0.349570 | − | 0.785148i | ||||
\(708\) | 2.99125 | − | 13.7530i | 0.112418 | − | 0.516869i | ||||
\(709\) | −26.9762 | − | 5.73396i | −1.01311 | − | 0.215343i | −0.328696 | − | 0.944436i | \(-0.606609\pi\) |
−0.684415 | + | 0.729092i | \(0.739942\pi\) | |||||||
\(710\) | 3.42133 | + | 10.5298i | 0.128400 | + | 0.395176i | ||||
\(711\) | 31.0239 | − | 27.4078i | 1.16349 | − | 1.02787i | ||||
\(712\) | −14.0445 | − | 19.3305i | −0.526338 | − | 0.724443i | ||||
\(713\) | 17.0100 | − | 15.3158i | 0.637028 | − | 0.573582i | ||||
\(714\) | −2.42682 | − | 0.266664i | −0.0908213 | − | 0.00997964i | ||||
\(715\) | −5.49218 | + | 1.18038i | −0.205396 | + | 0.0441438i | ||||
\(716\) | −13.1101 | + | 7.56915i | −0.489949 | + | 0.282872i | ||||
\(717\) | −1.92077 | − | 0.866075i | −0.0717324 | − | 0.0323442i | ||||
\(718\) | −0.422145 | − | 4.01644i | −0.0157543 | − | 0.149892i | ||||
\(719\) | −21.5090 | + | 29.6046i | −0.802151 | + | 1.10407i | 0.190337 | + | 0.981719i | \(0.439042\pi\) |
−0.992487 | + | 0.122347i | \(0.960958\pi\) | |||||||
\(720\) | 2.77357 | + | 3.89434i | 0.103365 | + | 0.145133i | ||||
\(721\) | −12.3667 | + | 4.01819i | −0.460561 | + | 0.149645i | ||||
\(722\) | 23.6840 | − | 10.5448i | 0.881426 | − | 0.392436i | ||||
\(723\) | −1.13497 | − | 0.662442i | −0.0422099 | − | 0.0246365i | ||||
\(724\) | −0.0252595 | + | 0.00536908i | −0.000938763 | + | 0.000199540i | ||||
\(725\) | −2.18172 | − | 3.77884i | −0.0810269 | − | 0.140343i | ||||
\(726\) | 12.3693 | − | 8.98303i | 0.459070 | − | 0.333392i | ||||
\(727\) | 20.4497 | − | 35.4200i | 0.758438 | − | 1.31365i | −0.185208 | − | 0.982699i | \(-0.559296\pi\) |
0.943647 | − | 0.330955i | \(-0.107371\pi\) | |||||||
\(728\) | −0.650321 | + | 2.00148i | −0.0241025 | + | 0.0741799i | ||||
\(729\) | 26.9892 | + | 0.765089i | 0.999598 | + | 0.0283366i | ||||
\(730\) | −16.4645 | − | 11.9622i | −0.609379 | − | 0.442740i | ||||
\(731\) | −3.55583 | + | 16.7289i | −0.131517 | + | 0.618740i | ||||
\(732\) | 17.6394 | + | 5.82366i | 0.651972 | + | 0.215249i | ||||
\(733\) | −9.27530 | − | 0.974873i | −0.342591 | − | 0.0360078i | −0.0683291 | − | 0.997663i | \(-0.521767\pi\) |
−0.274262 | + | 0.961655i | \(0.588433\pi\) | |||||||
\(734\) | 2.27158 | + | 1.01137i | 0.0838454 | + | 0.0373304i | ||||
\(735\) | −26.0045 | + | 2.60906i | −0.959191 | + | 0.0962366i | ||||
\(736\) | −15.2998 | − | 8.83335i | −0.563958 | − | 0.325601i | ||||
\(737\) | 8.85790 | − | 27.4730i | 0.326285 | − | 1.01198i | ||||
\(738\) | 1.62605 | + | 5.17016i | 0.0598558 | + | 0.190316i | ||||
\(739\) | −25.6359 | − | 8.32960i | −0.943031 | − | 0.306409i | −0.203150 | − | 0.979148i | \(-0.565118\pi\) |
−0.739881 | + | 0.672738i | \(0.765118\pi\) | |||||||
\(740\) | 15.5912 | − | 1.63870i | 0.573144 | − | 0.0602398i | ||||
\(741\) | 4.89350 | − | 5.38343i | 0.179767 | − | 0.197765i | ||||
\(742\) | −2.56516 | + | 2.84890i | −0.0941699 | + | 0.104586i | ||||
\(743\) | 14.2469 | − | 15.8228i | 0.522667 | − | 0.580481i | −0.422790 | − | 0.906228i | \(-0.638949\pi\) |
0.945457 | + | 0.325747i | \(0.105616\pi\) | |||||||
\(744\) | 23.6914 | − | 26.0634i | 0.868570 | − | 0.955529i | ||||
\(745\) | −17.7042 | + | 1.86079i | −0.648632 | + | 0.0681740i | ||||
\(746\) | 6.46702 | + | 2.10126i | 0.236775 | + | 0.0769327i | ||||
\(747\) | −31.5210 | − | 7.01186i | −1.15329 | − | 0.256551i | ||||
\(748\) | −4.80456 | − | 3.47415i | −0.175672 | − | 0.127027i | ||||
\(749\) | 3.39708 | + | 1.96131i | 0.124127 | + | 0.0716646i | ||||
\(750\) | 6.61577 | − | 0.663767i | 0.241574 | − | 0.0242373i | ||||
\(751\) | 21.5176 | + | 9.58027i | 0.785190 | + | 0.349589i | 0.759857 | − | 0.650090i | \(-0.225269\pi\) |
0.0253327 | + | 0.999679i | \(0.491935\pi\) | |||||||
\(752\) | −6.35027 | − | 0.667440i | −0.231570 | − | 0.0243390i | ||||
\(753\) | 16.1596 | + | 5.33509i | 0.588888 | + | 0.194421i | ||||
\(754\) | 0.127653 | − | 0.600558i | 0.00464883 | − | 0.0218710i | ||||
\(755\) | −46.0766 | − | 33.4766i | −1.67690 | − | 1.21834i | ||||
\(756\) | 8.97256 | − | 2.77543i | 0.326329 | − | 0.100941i | ||||
\(757\) | −10.5548 | + | 32.4845i | −0.383622 | + | 1.18067i | 0.553853 | + | 0.832615i | \(0.313157\pi\) |
−0.937475 | + | 0.348053i | \(0.886843\pi\) | |||||||
\(758\) | 8.65095 | − | 14.9839i | 0.314217 | − | 0.544239i | ||||
\(759\) | −16.5468 | − | 5.42146i | −0.600609 | − | 0.196787i | ||||
\(760\) | 27.8597 | + | 48.2544i | 1.01058 | + | 1.75037i | ||||
\(761\) | −35.6019 | + | 7.56741i | −1.29057 | + | 0.274318i | −0.801535 | − | 0.597948i | \(-0.795983\pi\) |
−0.489031 | + | 0.872266i | \(0.662650\pi\) | |||||||
\(762\) | 5.66762 | + | 3.30800i | 0.205316 | + | 0.119836i | ||||
\(763\) | −1.75266 | + | 0.780333i | −0.0634504 | + | 0.0282499i | ||||
\(764\) | 3.37329 | − | 1.09605i | 0.122041 | − | 0.0396537i | ||||
\(765\) | −4.74431 | + | 10.3906i | −0.171531 | + | 0.375673i | ||||
\(766\) | 15.1583 | − | 20.8637i | 0.547693 | − | 0.753835i | ||||
\(767\) | −0.367245 | − | 3.49410i | −0.0132605 | − | 0.126165i | ||||
\(768\) | −22.4198 | − | 10.1091i | −0.809005 | − | 0.364781i | ||||
\(769\) | 13.6195 | − | 7.86320i | 0.491130 | − | 0.283554i | −0.233913 | − | 0.972258i | \(-0.575153\pi\) |
0.725043 | + | 0.688703i | \(0.241820\pi\) | |||||||
\(770\) | −9.36834 | − | 4.14570i | −0.337611 | − | 0.149401i | ||||
\(771\) | 38.3672 | + | 4.21588i | 1.38176 | + | 0.151831i | ||||
\(772\) | 12.9460 | − | 11.6566i | 0.465935 | − | 0.419530i | ||||
\(773\) | 5.16073 | + | 7.10313i | 0.185619 | + | 0.255482i | 0.891678 | − | 0.452671i | \(-0.149529\pi\) |
−0.706059 | + | 0.708153i | \(0.749529\pi\) | |||||||
\(774\) | 6.20455 | + | 30.6092i | 0.223018 | + | 1.10022i | ||||
\(775\) | −7.80258 | − | 24.0139i | −0.280277 | − | 0.862604i | ||||
\(776\) | 2.16048 | + | 0.459225i | 0.0775568 | + | 0.0164852i | ||||
\(777\) | 1.96331 | − | 9.02677i | 0.0704333 | − | 0.323834i | ||||
\(778\) | 0.00453711 | − | 0.0101905i | 0.000162663 | − | 0.000365347i | ||||
\(779\) | −3.35334 | − | 15.7762i | −0.120146 | − | 0.565241i | ||||
\(780\) | 3.20776 | + | 2.35380i | 0.114856 | + | 0.0842796i | ||||
\(781\) | 13.7390 | + | 7.89085i | 0.491619 | + | 0.282357i | ||||
\(782\) | − | 3.20576i | − | 0.114638i | ||||||
\(783\) | −6.23309 | + | 2.66998i | −0.222753 | + | 0.0954171i | ||||
\(784\) | −2.33166 | + | 1.69405i | −0.0832737 | + | 0.0605019i | ||||
\(785\) | −5.72724 | − | 12.8636i | −0.204414 | − | 0.459121i | ||||
\(786\) | 3.43537 | − | 10.4055i | 0.122536 | − | 0.371151i | ||||
\(787\) | −6.03768 | − | 5.43635i | −0.215220 | − | 0.193785i | 0.554468 | − | 0.832205i | \(-0.312922\pi\) |
−0.769688 | + | 0.638420i | \(0.779588\pi\) | |||||||
\(788\) | −0.975543 | + | 9.28167i | −0.0347523 | + | 0.330646i | ||||
\(789\) | 13.4195 | − | 22.9917i | 0.477746 | − | 0.818527i | ||||
\(790\) | 21.3995 | + | 23.7666i | 0.761362 | + | 0.845578i | ||||
\(791\) | 2.52095 | 0.0896348 | ||||||||
\(792\) | −26.1679 | − | 5.75900i | −0.929834 | − | 0.204637i | ||||
\(793\) | 4.63701 | 0.164665 | ||||||||
\(794\) | 7.51487 | + | 8.34611i | 0.266693 | + | 0.296192i | ||||
\(795\) | 8.89444 | + | 15.5751i | 0.315453 | + | 0.552391i | ||||
\(796\) | 0.00957862 | − | 0.0911345i | 0.000339505 | − | 0.00323018i | ||||
\(797\) | −0.960021 | − | 0.864407i | −0.0340057 | − | 0.0306189i | 0.651953 | − | 0.758260i | \(-0.273950\pi\) |
−0.685958 | + | 0.727641i | \(0.740617\pi\) | |||||||
\(798\) | 12.9904 | − | 2.69713i | 0.459856 | − | 0.0954775i | ||||
\(799\) | −6.20479 | − | 13.9362i | −0.219510 | − | 0.493027i | ||||
\(800\) | −15.7666 | + | 11.4551i | −0.557435 | + | 0.405000i | ||||
\(801\) | −0.251458 | + | 26.6175i | −0.00888482 | + | 0.940483i | ||||
\(802\) | 28.5305i | 1.00745i | ||||||||
\(803\) | −28.9565 | + | 3.10965i | −1.02185 | + | 0.109737i | ||||
\(804\) | −18.7159 | + | 8.22715i | −0.660059 | + | 0.290149i | ||||
\(805\) | 2.42608 | + | 11.4138i | 0.0855082 | + | 0.402285i | ||||
\(806\) | 1.44508 | − | 3.24570i | 0.0509007 | − | 0.114325i | ||||
\(807\) | 1.57236 | − | 0.502691i | 0.0553495 | − | 0.0176956i | ||||
\(808\) | 45.1655 | + | 9.60023i | 1.58892 | + | 0.337735i | ||||
\(809\) | 12.8311 | + | 39.4900i | 0.451117 | + | 1.38840i | 0.875634 | + | 0.482975i | \(0.160444\pi\) |
−0.424517 | + | 0.905420i | \(0.639556\pi\) | |||||||
\(810\) | −0.394078 | + | 20.8553i | −0.0138465 | + | 0.732780i | ||||
\(811\) | 8.32868 | + | 11.4634i | 0.292459 | + | 0.402536i | 0.929811 | − | 0.368037i | \(-0.119970\pi\) |
−0.637352 | + | 0.770573i | \(0.719970\pi\) | |||||||
\(812\) | −1.75289 | + | 1.57831i | −0.0615142 | + | 0.0553877i | ||||
\(813\) | 22.9145 | − | 31.2279i | 0.803647 | − | 1.09521i | ||||
\(814\) | −7.10797 | + | 7.93017i | −0.249134 | + | 0.277952i | ||||
\(815\) | −27.7670 | + | 16.0313i | −0.972635 | + | 0.561551i | ||||
\(816\) | 0.125749 | + | 1.25335i | 0.00440211 | + | 0.0438759i | ||||
\(817\) | −9.71499 | − | 92.4319i | −0.339884 | − | 3.23378i | ||||
\(818\) | −6.62746 | + | 9.12191i | −0.231724 | + | 0.318940i | ||||
\(819\) | 1.90965 | − | 1.36007i | 0.0667287 | − | 0.0475247i | ||||
\(820\) | 8.38889 | − | 2.72572i | 0.292953 | − | 0.0951862i | ||||
\(821\) | −49.5964 | + | 22.0817i | −1.73093 | + | 0.770658i | −0.735247 | + | 0.677799i | \(0.762934\pi\) |
−0.995679 | + | 0.0928594i | \(0.970399\pi\) | |||||||
\(822\) | 8.12917 | − | 4.64232i | 0.283537 | − | 0.161920i | ||||
\(823\) | −25.4218 | + | 5.40357i | −0.886148 | + | 0.188357i | −0.628432 | − | 0.777864i | \(-0.716303\pi\) |
−0.257716 | + | 0.966221i | \(0.582970\pi\) | |||||||
\(824\) | −13.1368 | − | 22.7536i | −0.457642 | − | 0.792660i | ||||
\(825\) | −12.8878 | + | 14.2426i | −0.448694 | + | 0.495864i | ||||
\(826\) | 3.20360 | − | 5.54879i | 0.111467 | − | 0.193067i | ||||
\(827\) | 6.86114 | − | 21.1164i | 0.238585 | − | 0.734290i | −0.758040 | − | 0.652208i | \(-0.773843\pi\) |
0.996626 | − | 0.0820821i | \(-0.0261570\pi\) | |||||||
\(828\) | 4.90938 | + | 11.3131i | 0.170613 | + | 0.393156i | ||||
\(829\) | 6.23980 | + | 4.53348i | 0.216717 | + | 0.157454i | 0.690848 | − | 0.723000i | \(-0.257238\pi\) |
−0.474131 | + | 0.880455i | \(0.657238\pi\) | |||||||
\(830\) | 5.18677 | − | 24.4018i | 0.180035 | − | 0.846999i | ||||
\(831\) | 13.4010 | − | 11.9522i | 0.464876 | − | 0.414617i | ||||
\(832\) | −2.08371 | − | 0.219007i | −0.0722398 | − | 0.00759271i | ||||
\(833\) | −6.29035 | − | 2.80065i | −0.217948 | − | 0.0970366i | ||||
\(834\) | 6.01806 | + | 8.36596i | 0.208388 | + | 0.289690i | ||||
\(835\) | 53.1314 | + | 30.6755i | 1.83869 | + | 1.06157i | ||||
\(836\) | 30.6657 | + | 9.88732i | 1.06060 | + | 0.341960i | ||||
\(837\) | −38.4928 | + | 7.61348i | −1.33051 | + | 0.263160i | ||||
\(838\) | 2.25932 | + | 0.734097i | 0.0780468 | + | 0.0253589i | ||||
\(839\) | −46.6084 | + | 4.89874i | −1.60910 | + | 0.169123i | −0.865996 | − | 0.500052i | \(-0.833314\pi\) |
−0.743105 | + | 0.669175i | \(0.766648\pi\) | |||||||
\(840\) | 5.46799 | + | 17.1032i | 0.188664 | + | 0.590117i | ||||
\(841\) | −18.2653 | + | 20.2856i | −0.629837 | + | 0.699505i | ||||
\(842\) | −11.3117 | + | 12.5630i | −0.389829 | + | 0.432948i | ||||
\(843\) | −16.0819 | − | 3.49779i | −0.553890 | − | 0.120470i | ||||
\(844\) | 1.64227 | − | 0.172610i | 0.0565293 | − | 0.00594147i | ||||
\(845\) | −34.7686 | − | 11.2970i | −1.19608 | − | 0.388629i | ||||
\(846\) | −20.5254 | − | 18.8352i | −0.705676 | − | 0.647569i | ||||
\(847\) | −13.9221 | + | 4.59326i | −0.478370 | + | 0.157826i | ||||
\(848\) | 1.71292 | + | 0.988954i | 0.0588219 | + | 0.0339608i | ||||
\(849\) | −8.83646 | + | 19.5974i | −0.303266 | + | 0.672580i | ||||
\(850\) | −3.23063 | − | 1.43837i | −0.110810 | − | 0.0493357i | ||||
\(851\) | 12.0635 | + | 1.26792i | 0.413530 | + | 0.0434638i | ||||
\(852\) | −2.28120 | − | 10.9872i | −0.0781528 | − | 0.376414i | ||||
\(853\) | −6.89791 | + | 32.4521i | −0.236180 | + | 1.11114i | 0.686966 | + | 0.726690i | \(0.258942\pi\) |
−0.923146 | + | 0.384450i | \(0.874391\pi\) | |||||||
\(854\) | 6.84135 | + | 4.97053i | 0.234106 | + | 0.170088i | ||||
\(855\) | 7.07133 | − | 61.6694i | 0.241834 | − | 2.10905i | ||||
\(856\) | −2.44923 | + | 7.53796i | −0.0837130 | + | 0.257642i | ||||
\(857\) | −1.62627 | + | 2.81679i | −0.0555524 | + | 0.0962196i | −0.892464 | − | 0.451118i | \(-0.851025\pi\) |
0.836912 | + | 0.547338i | \(0.184359\pi\) | |||||||
\(858\) | −2.68862 | + | 0.275892i | −0.0917880 | + | 0.00941880i | ||||
\(859\) | −3.97946 | − | 6.89262i | −0.135777 | − | 0.235173i | 0.790117 | − | 0.612956i | \(-0.210020\pi\) |
−0.925894 | + | 0.377783i | \(0.876686\pi\) | |||||||
\(860\) | 49.7178 | − | 10.5678i | 1.69536 | − | 0.360361i | ||||
\(861\) | 0.0245503 | − | 5.19754i | 0.000836671 | − | 0.177132i | ||||
\(862\) | 27.9682 | − | 12.4522i | 0.952599 | − | 0.424124i | ||||
\(863\) | −38.4621 | + | 12.4971i | −1.30926 | + | 0.425405i | −0.878795 | − | 0.477200i | \(-0.841652\pi\) |
−0.430469 | + | 0.902605i | \(0.641652\pi\) | |||||||
\(864\) | 14.7697 | + | 26.4402i | 0.502476 | + | 0.899513i | ||||
\(865\) | −21.0414 | + | 28.9610i | −0.715429 | + | 0.984704i | ||||
\(866\) | −1.78153 | − | 16.9501i | −0.0605388 | − | 0.575988i | ||||
\(867\) | 21.4599 | − | 15.4372i | 0.728816 | − | 0.524274i | ||||
\(868\) | −11.8206 | + | 6.82461i | −0.401216 | + | 0.231642i | ||||
\(869\) | 45.5256 | + | 4.68091i | 1.54435 | + | 0.158789i | ||||
\(870\) | −2.10810 | − | 4.79571i | −0.0714713 | − | 0.162590i | ||||
\(871\) | −3.79257 | + | 3.41485i | −0.128506 | + | 0.115708i | ||||
\(872\) | −2.27854 | − | 3.13614i | −0.0771611 | − | 0.106203i | ||||
\(873\) | −1.62914 | − | 1.84408i | −0.0551379 | − | 0.0624126i | ||||
\(874\) | 5.38343 | + | 16.5685i | 0.182097 | + | 0.560437i | ||||
\(875\) | −6.23701 | − | 1.32572i | −0.210850 | − | 0.0448175i | ||||
\(876\) | 15.2632 | + | 13.8742i | 0.515696 | + | 0.468764i | ||||
\(877\) | −11.4141 | + | 25.6365i | −0.385427 | + | 0.865684i | 0.611782 | + | 0.791027i | \(0.290453\pi\) |
−0.997209 | + | 0.0746577i | \(0.976214\pi\) | |||||||
\(878\) | −4.59375 | − | 21.6119i | −0.155032 | − | 0.729366i | ||||
\(879\) | −4.92540 | + | 44.8244i | −0.166130 | + | 1.51189i | ||||
\(880\) | −1.08726 | + | 5.17263i | −0.0366516 | + | 0.174369i | ||||
\(881\) | 23.2639i | 0.783780i | 0.920012 | + | 0.391890i | \(0.128179\pi\) | ||||
−0.920012 | + | 0.391890i | \(0.871821\pi\) | |||||||
\(882\) | −12.5736 | − | 0.118783i | −0.423374 | − | 0.00399965i | ||||
\(883\) | −23.6812 | + | 17.2054i | −0.796937 | + | 0.579008i | −0.910014 | − | 0.414578i | \(-0.863929\pi\) |
0.113077 | + | 0.993586i | \(0.463929\pi\) | |||||||
\(884\) | 0.426360 | + | 0.957620i | 0.0143400 | + | 0.0322082i | ||||
\(885\) | −19.9530 | − | 22.3716i | −0.670712 | − | 0.752014i | ||||
\(886\) | 15.9533 | + | 14.3644i | 0.535960 | + | 0.482581i | ||||
\(887\) | −0.509963 | + | 4.85197i | −0.0171229 | + | 0.162913i | −0.999742 | − | 0.0227207i | \(-0.992767\pi\) |
0.982619 | + | 0.185634i | \(0.0594338\pi\) | |||||||
\(888\) | 18.6653 | + | 0.0881646i | 0.626368 | + | 0.00295861i | ||||
\(889\) | −4.21104 | − | 4.67683i | −0.141234 | − | 0.156856i | ||||
\(890\) | −20.5644 | −0.689320 | ||||||||
\(891\) | 19.6016 | + | 22.5117i | 0.656678 | + | 0.754171i | ||||
\(892\) | 17.7008 | 0.592665 | ||||||||
\(893\) | 55.4715 | + | 61.6074i | 1.85628 | + | 2.06161i | ||||
\(894\) | −8.56468 | − | 0.0404548i | −0.286446 | − | 0.00135301i | ||||
\(895\) | −3.37026 | + | 32.0659i | −0.112655 | + | 1.07184i | ||||
\(896\) | 8.70590 | + | 7.83883i | 0.290844 | + | 0.261877i | ||||
\(897\) | 2.04907 | + | 2.29745i | 0.0684163 | + | 0.0767096i | ||||
\(898\) | 9.65488 | + | 21.6852i | 0.322188 | + | 0.723645i | ||||
\(899\) | 7.97246 | − | 5.79233i | 0.265896 | − | 0.193185i | ||||
\(900\) | 13.6036 | + | 0.128514i | 0.453453 | + | 0.00428381i | ||||
\(901\) | 4.72544i | 0.157427i | ||||||||
\(902\) | −2.98419 | + | 5.19585i | −0.0993626 | + | 0.173003i | ||||
\(903\) | 3.27140 | − | 29.7718i | 0.108865 | − | 0.990745i | ||||
\(904\) | 1.05905 | + | 4.98243i | 0.0352234 | + | 0.165713i | ||||
\(905\) | −0.0223710 | + | 0.0502462i | −0.000743638 | + | 0.00167024i | ||||
\(906\) | −20.2766 | − | 18.4313i | −0.673644 | − | 0.612338i | ||||
\(907\) | 10.0126 | + | 2.12823i | 0.332461 | + | 0.0706669i | 0.371118 | − | 0.928586i | \(-0.378975\pi\) |
−0.0386566 | + | 0.999253i | \(0.512308\pi\) | |||||||
\(908\) | −0.331524 | − | 1.02033i | −0.0110020 | − | 0.0338607i | ||||
\(909\) | −34.0576 | − | 38.5510i | −1.12962 | − | 1.27866i | ||||
\(910\) | 1.06462 | + | 1.46532i | 0.0352918 | + | 0.0485749i | ||||
\(911\) | −4.84142 | + | 4.35923i | −0.160403 | + | 0.144428i | −0.745424 | − | 0.666590i | \(-0.767753\pi\) |
0.585021 | + | 0.811018i | \(0.301086\pi\) | |||||||
\(912\) | −2.75465 | − | 6.26655i | −0.0912157 | − | 0.207506i | ||||
\(913\) | −17.9196 | − | 30.8763i | −0.593053 | − | 1.02186i | ||||
\(914\) | −0.228161 | + | 0.131729i | −0.00754689 | + | 0.00435720i | ||||
\(915\) | 32.1176 | − | 23.1038i | 1.06177 | − | 0.763788i | ||||
\(916\) | −1.38465 | − | 13.1740i | −0.0457501 | − | 0.435283i | ||||
\(917\) | −6.17680 | + | 8.50163i | −0.203976 | + | 0.280749i | ||||
\(918\) | −2.81496 | + | 4.71991i | −0.0929075 | + | 0.155780i | ||||
\(919\) | 22.0654 | − | 7.16949i | 0.727871 | − | 0.236500i | 0.0784385 | − | 0.996919i | \(-0.475007\pi\) |
0.649432 | + | 0.760419i | \(0.275007\pi\) | |||||||
\(920\) | −21.5392 | + | 9.58985i | −0.710125 | + | 0.316168i | ||||
\(921\) | 0.147485 | − | 31.2241i | 0.00485979 | − | 1.02887i | ||||
\(922\) | −2.50054 | + | 0.531507i | −0.0823510 | + | 0.0175042i | ||||
\(923\) | −1.40058 | − | 2.42587i | −0.0461006 | − | 0.0798485i | ||||
\(924\) | 8.97935 | + | 5.21376i | 0.295399 | + | 0.171520i | ||||
\(925\) | 6.69043 | − | 11.5882i | 0.219980 | − | 0.381016i | ||||
\(926\) | −6.76675 | + | 20.8259i | −0.222369 | + | 0.684382i | ||||
\(927\) | −3.33438 | + | 29.0793i | −0.109515 | + | 0.955088i | ||||
\(928\) | −6.15344 | − | 4.47074i | −0.201997 | − | 0.146759i | ||||
\(929\) | −1.54441 | + | 7.26589i | −0.0506705 | + | 0.238386i | −0.996194 | − | 0.0871692i | \(-0.972218\pi\) |
0.945523 | + | 0.325555i | \(0.105551\pi\) | |||||||
\(930\) | −6.16250 | − | 29.6810i | −0.202076 | − | 0.973277i | ||||
\(931\) | 37.2138 | + | 3.91133i | 1.21963 | + | 0.128189i | ||||
\(932\) | −20.5320 | − | 9.14145i | −0.672549 | − | 0.299438i | ||||
\(933\) | 8.95233 | − | 19.8543i | 0.293086 | − | 0.650002i | ||||
\(934\) | −12.6853 | − | 7.32387i | −0.415076 | − | 0.239644i | ||||
\(935\) | −12.0011 | + | 3.92942i | −0.392479 | + | 0.128506i | ||||
\(936\) | 3.49029 | + | 3.20289i | 0.114084 | + | 0.104690i | ||||
\(937\) | −44.2612 | − | 14.3813i | −1.44595 | − | 0.469817i | −0.522203 | − | 0.852821i | \(-0.674890\pi\) |
−0.923747 | + | 0.383004i | \(0.874890\pi\) | |||||||
\(938\) | −9.25595 | + | 0.972839i | −0.302217 | + | 0.0317643i | ||||
\(939\) | −19.7946 | − | 4.30530i | −0.645973 | − | 0.140498i | ||||
\(940\) | −30.3368 | + | 33.6924i | −0.989478 | + | 1.09893i | ||||
\(941\) | 11.8484 | − | 13.1590i | 0.386247 | − | 0.428971i | −0.518396 | − | 0.855141i | \(-0.673471\pi\) |
0.904643 | + | 0.426170i | \(0.140137\pi\) | |||||||
\(942\) | −2.06302 | − | 6.45287i | −0.0672168 | − | 0.210246i | ||||
\(943\) | 6.78743 | − | 0.713388i | 0.221029 | − | 0.0232311i | ||||
\(944\) | −3.14396 | − | 1.02153i | −0.102327 | − | 0.0332481i | ||||
\(945\) | 6.45044 | − | 18.9351i | 0.209833 | − | 0.615960i | ||||
\(946\) | −20.2318 | + | 27.9795i | −0.657792 | + | 0.909691i | ||||
\(947\) | 24.8531 | + | 14.3490i | 0.807618 | + | 0.466278i | 0.846128 | − | 0.532980i | \(-0.178928\pi\) |
−0.0385102 | + | 0.999258i | \(0.512261\pi\) | |||||||
\(948\) | −18.9283 | − | 26.3130i | −0.614763 | − | 0.854608i | ||||
\(949\) | 4.70377 | + | 2.09425i | 0.152691 | + | 0.0679823i | ||||
\(950\) | 19.1125 | + | 2.00880i | 0.620091 | + | 0.0651742i | ||||
\(951\) | 21.2645 | − | 18.9655i | 0.689549 | − | 0.615000i | ||||
\(952\) | −0.983581 | + | 4.62739i | −0.0318781 | + | 0.149974i | ||||
\(953\) | 30.0074 | + | 21.8016i | 0.972033 | + | 0.706224i | 0.955914 | − | 0.293646i | \(-0.0948688\pi\) |
0.0161193 | + | 0.999870i | \(0.494869\pi\) | |||||||
\(954\) | 3.43522 | + | 7.91605i | 0.111219 | + | 0.256292i | ||||
\(955\) | 2.33443 | − | 7.18465i | 0.0755405 | − | 0.232490i | ||||
\(956\) | −0.824898 | + | 1.42877i | −0.0266791 | + | 0.0462096i | ||||
\(957\) | −6.84089 | − | 3.06597i | −0.221135 | − | 0.0991088i | ||||
\(958\) | −5.08024 | − | 8.79924i | −0.164135 | − | 0.284290i | ||||
\(959\) | −8.78130 | + | 1.86652i | −0.283563 | + | 0.0602732i | ||||
\(960\) | −15.5238 | + | 8.86514i | −0.501027 | + | 0.286121i | ||||
\(961\) | 23.7746 | − | 10.5851i | 0.766923 | − | 0.341456i | ||||
\(962\) | 1.79066 | − | 0.581820i | 0.0577331 | − | 0.0187586i | ||||
\(963\) | 7.19211 | − | 5.12227i | 0.231762 | − | 0.165063i | ||||
\(964\) | −0.604824 | + | 0.832469i | −0.0194801 | + | 0.0268120i | ||||
\(965\) | −3.87835 | − | 36.9000i | −0.124848 | − | 1.18785i | ||||
\(966\) | 0.560455 | + | 5.58606i | 0.0180323 | + | 0.179729i | ||||
\(967\) | 47.1454 | − | 27.2194i | 1.51609 | − | 0.875317i | 0.516272 | − | 0.856425i | \(-0.327319\pi\) |
0.999822 | − | 0.0188923i | \(-0.00601398\pi\) | |||||||
\(968\) | −14.9268 | − | 25.5862i | −0.479766 | − | 0.822370i | ||||
\(969\) | 9.67510 | − | 13.1852i | 0.310809 | − | 0.423570i | ||||
\(970\) | 1.41270 | − | 1.27200i | 0.0453590 | − | 0.0408414i | ||||
\(971\) | −4.73162 | − | 6.51252i | −0.151845 | − | 0.208997i | 0.726317 | − | 0.687360i | \(-0.241230\pi\) |
−0.878162 | + | 0.478363i | \(0.841230\pi\) | |||||||
\(972\) | 2.70576 | − | 20.9674i | 0.0867871 | − | 0.672529i | ||||
\(973\) | −3.05404 | − | 9.39936i | −0.0979080 | − | 0.301330i | ||||
\(974\) | −11.9782 | − | 2.54604i | −0.383806 | − | 0.0815805i | ||||
\(975\) | 3.23466 | − | 1.03414i | 0.103592 | − | 0.0331189i | ||||
\(976\) | 1.77460 | − | 3.98582i | 0.0568035 | − | 0.127583i | ||||
\(977\) | 2.64186 | + | 12.4290i | 0.0845205 | + | 0.397638i | 0.999989 | − | 0.00475272i | \(-0.00151284\pi\) |
−0.915468 | + | 0.402390i | \(0.868180\pi\) | |||||||
\(978\) | −14.1218 | + | 6.20766i | −0.451565 | + | 0.198499i | ||||
\(979\) | −21.8247 | + | 19.7406i | −0.697522 | + | 0.630912i | ||||
\(980\) | 20.4640i | 0.653698i | ||||||||
\(981\) | −0.0407959 | + | 4.31836i | −0.00130251 | + | 0.137875i | ||||
\(982\) | −18.4389 | + | 13.3967i | −0.588409 | + | 0.427504i | ||||
\(983\) | 2.14903 | + | 4.82680i | 0.0685434 | + | 0.153951i | 0.944568 | − | 0.328315i | \(-0.106481\pi\) |
−0.876025 | + | 0.482266i | \(0.839814\pi\) | |||||||
\(984\) | 10.2828 | − | 2.13495i | 0.327802 | − | 0.0680599i | ||||
\(985\) | 14.7719 | + | 13.3007i | 0.470673 | + | 0.423796i | ||||
\(986\) | 0.144268 | − | 1.37262i | 0.00459444 | − | 0.0437132i | ||||
\(987\) | 13.2483 | + | 23.1991i | 0.421699 | + | 0.738437i | ||||
\(988\) | −3.81170 | − | 4.23332i | −0.121266 | − | 0.134680i | ||||
\(989\) | 39.3279 | 1.25055 | ||||||||
\(990\) | −17.2477 | + | 15.3069i | −0.548169 | + | 0.486486i | ||||
\(991\) | 54.4977 | 1.73118 | 0.865589 | − | 0.500756i | \(-0.166945\pi\) | ||||
0.865589 | + | 0.500756i | \(0.166945\pi\) | |||||||
\(992\) | −29.4509 | − | 32.7085i | −0.935067 | − | 1.03850i | ||||
\(993\) | −17.1352 | + | 29.3578i | −0.543768 | + | 0.931643i | ||||
\(994\) | 0.533972 | − | 5.08040i | 0.0169365 | − | 0.161141i | ||||
\(995\) | −0.145042 | − | 0.130596i | −0.00459814 | − | 0.00414018i | ||||
\(996\) | −7.92684 | + | 24.0098i | −0.251172 | + | 0.760780i | ||||
\(997\) | 3.11130 | + | 6.98810i | 0.0985360 | + | 0.221315i | 0.956087 | − | 0.293084i | \(-0.0946816\pi\) |
−0.857551 | + | 0.514399i | \(0.828015\pi\) | |||||||
\(998\) | −14.1919 | + | 10.3110i | −0.449236 | + | 0.326389i | ||||
\(999\) | −16.6479 | − | 12.4596i | −0.526717 | − | 0.394205i |
(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 | 99.2.p.a.2.5 | ✓ | 80 | |
3.2 | odd | 2 | 297.2.t.a.35.6 | 80 | |||
9.2 | odd | 6 | 891.2.k.a.728.13 | 80 | |||
9.4 | even | 3 | 297.2.t.a.233.6 | 80 | |||
9.5 | odd | 6 | inner | 99.2.p.a.68.5 | yes | 80 | |
9.7 | even | 3 | 891.2.k.a.728.8 | 80 | |||
11.6 | odd | 10 | inner | 99.2.p.a.83.5 | yes | 80 | |
33.17 | even | 10 | 297.2.t.a.116.6 | 80 | |||
99.50 | even | 30 | inner | 99.2.p.a.50.5 | yes | 80 | |
99.61 | odd | 30 | 891.2.k.a.809.13 | 80 | |||
99.83 | even | 30 | 891.2.k.a.809.8 | 80 | |||
99.94 | odd | 30 | 297.2.t.a.17.6 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.p.a.2.5 | ✓ | 80 | 1.1 | even | 1 | trivial | |
99.2.p.a.50.5 | yes | 80 | 99.50 | even | 30 | inner | |
99.2.p.a.68.5 | yes | 80 | 9.5 | odd | 6 | inner | |
99.2.p.a.83.5 | yes | 80 | 11.6 | odd | 10 | inner | |
297.2.t.a.17.6 | 80 | 99.94 | odd | 30 | |||
297.2.t.a.35.6 | 80 | 3.2 | odd | 2 | |||
297.2.t.a.116.6 | 80 | 33.17 | even | 10 | |||
297.2.t.a.233.6 | 80 | 9.4 | even | 3 | |||
891.2.k.a.728.8 | 80 | 9.7 | even | 3 | |||
891.2.k.a.728.13 | 80 | 9.2 | odd | 6 | |||
891.2.k.a.809.8 | 80 | 99.83 | even | 30 | |||
891.2.k.a.809.13 | 80 | 99.61 | odd | 30 |