Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(5,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bb (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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 5.8 | ||
Character | \(\chi\) | \(=\) | 91.5 |
Dual form | 91.2.bb.a.73.8 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.697597 | + | 2.60347i | 0.493276 | + | 1.84093i | 0.539481 | + | 0.841998i | \(0.318621\pi\) |
−0.0462053 | + | 0.998932i | \(0.514713\pi\) | |||||||
\(3\) | −0.657528 | + | 0.379624i | −0.379624 | + | 0.219176i | −0.677655 | − | 0.735380i | \(-0.737004\pi\) |
0.298031 | + | 0.954556i | \(0.403670\pi\) | |||||||
\(4\) | −4.55935 | + | 2.63234i | −2.27968 | + | 1.31617i | ||||
\(5\) | 2.44137 | − | 0.654162i | 1.09181 | − | 0.292550i | 0.332386 | − | 0.943143i | \(-0.392146\pi\) |
0.759426 | + | 0.650593i | \(0.225480\pi\) | |||||||
\(6\) | −1.44703 | − | 1.44703i | −0.590746 | − | 0.590746i | ||||
\(7\) | 0.722189 | − | 2.54528i | 0.272962 | − | 0.962025i | ||||
\(8\) | −6.22207 | − | 6.22207i | −2.19983 | − | 2.19983i | ||||
\(9\) | −1.21177 | + | 2.09885i | −0.403924 | + | 0.699617i | ||||
\(10\) | 3.40618 | + | 5.89968i | 1.07713 | + | 1.86564i | ||||
\(11\) | 0.557615 | − | 2.08105i | 0.168127 | − | 0.627459i | −0.829493 | − | 0.558516i | \(-0.811371\pi\) |
0.997621 | − | 0.0689427i | \(-0.0219626\pi\) | |||||||
\(12\) | 1.99860 | − | 3.46168i | 0.576946 | − | 0.999300i | ||||
\(13\) | 1.44703 | + | 3.30244i | 0.401333 | + | 0.915932i | ||||
\(14\) | 7.13035 | + | 0.104617i | 1.90567 | + | 0.0279602i | ||||
\(15\) | −1.35693 | + | 1.35693i | −0.350358 | + | 0.350358i | ||||
\(16\) | 6.59378 | − | 11.4208i | 1.64844 | − | 2.85519i | ||||
\(17\) | −0.700866 | − | 1.21393i | −0.169985 | − | 0.294422i | 0.768429 | − | 0.639935i | \(-0.221039\pi\) |
−0.938414 | + | 0.345512i | \(0.887705\pi\) | |||||||
\(18\) | −6.30962 | − | 1.69066i | −1.48719 | − | 0.398492i | ||||
\(19\) | 2.02208 | − | 0.541814i | 0.463896 | − | 0.124301i | −0.0192980 | − | 0.999814i | \(-0.506143\pi\) |
0.483194 | + | 0.875513i | \(0.339476\pi\) | |||||||
\(20\) | −9.40907 | + | 9.40907i | −2.10393 | + | 2.10393i | ||||
\(21\) | 0.491389 | + | 1.94775i | 0.107230 | + | 0.425034i | ||||
\(22\) | 5.80693 | 1.23804 | ||||||||
\(23\) | −1.13887 | − | 0.657528i | −0.237471 | − | 0.137104i | 0.376543 | − | 0.926399i | \(-0.377113\pi\) |
−0.614014 | + | 0.789295i | \(0.710446\pi\) | |||||||
\(24\) | 6.45323 | + | 1.72914i | 1.31726 | + | 0.352959i | ||||
\(25\) | 1.20221 | − | 0.694099i | 0.240443 | − | 0.138820i | ||||
\(26\) | −7.58836 | + | 6.07106i | −1.48820 | + | 1.19063i | ||||
\(27\) | − | 4.11781i | − | 0.792473i | ||||||
\(28\) | 3.40733 | + | 13.5059i | 0.643925 | + | 2.55237i | ||||
\(29\) | −4.56814 | −0.848282 | −0.424141 | − | 0.905596i | \(-0.639424\pi\) | ||||
−0.424141 | + | 0.905596i | \(0.639424\pi\) | |||||||
\(30\) | −4.47931 | − | 2.58613i | −0.817807 | − | 0.472161i | ||||
\(31\) | 1.88389 | − | 7.03077i | 0.338357 | − | 1.26276i | −0.561828 | − | 0.827254i | \(-0.689902\pi\) |
0.900184 | − | 0.435509i | \(-0.143432\pi\) | |||||||
\(32\) | 17.3344 | + | 4.64473i | 3.06431 | + | 0.821079i | ||||
\(33\) | 0.423368 | + | 1.58003i | 0.0736988 | + | 0.275048i | ||||
\(34\) | 2.67152 | − | 2.67152i | 0.458162 | − | 0.458162i | ||||
\(35\) | 0.0981036 | − | 6.68639i | 0.0165825 | − | 1.13021i | ||||
\(36\) | − | 12.7592i | − | 2.12653i | ||||||
\(37\) | −2.20574 | + | 0.591026i | −0.362621 | + | 0.0971640i | −0.435529 | − | 0.900175i | \(-0.643439\pi\) |
0.0729080 | + | 0.997339i | \(0.476772\pi\) | |||||||
\(38\) | 2.82119 | + | 4.88645i | 0.457658 | + | 0.792686i | ||||
\(39\) | −2.20514 | − | 1.62212i | −0.353106 | − | 0.259747i | ||||
\(40\) | −19.2606 | − | 11.1201i | −3.04537 | − | 1.75824i | ||||
\(41\) | −2.69291 | − | 2.69291i | −0.420562 | − | 0.420562i | 0.464835 | − | 0.885397i | \(-0.346114\pi\) |
−0.885397 | + | 0.464835i | \(0.846114\pi\) | |||||||
\(42\) | −4.72812 | + | 2.63806i | −0.729564 | + | 0.407062i | ||||
\(43\) | − | 0.437721i | − | 0.0667518i | −0.999443 | − | 0.0333759i | \(-0.989374\pi\) | ||
0.999443 | − | 0.0333759i | \(-0.0106258\pi\) | |||||||
\(44\) | 2.93567 | + | 10.9561i | 0.442569 | + | 1.65169i | ||||
\(45\) | −1.58539 | + | 5.91676i | −0.236336 | + | 0.882018i | ||||
\(46\) | 0.917379 | − | 3.42370i | 0.135260 | − | 0.504798i | ||||
\(47\) | 2.07440 | + | 7.74178i | 0.302583 | + | 1.12926i | 0.935006 | + | 0.354632i | \(0.115394\pi\) |
−0.632423 | + | 0.774623i | \(0.717940\pi\) | |||||||
\(48\) | 10.0126i | 1.44520i | ||||||||
\(49\) | −5.95689 | − | 3.67635i | −0.850984 | − | 0.525192i | ||||
\(50\) | 2.64573 | + | 2.64573i | 0.374162 | + | 0.374162i | ||||
\(51\) | 0.921677 | + | 0.532130i | 0.129061 | + | 0.0745131i | ||||
\(52\) | −15.2907 | − | 11.2479i | −2.12043 | − | 1.55981i | ||||
\(53\) | 1.26798 | + | 2.19621i | 0.174171 | + | 0.301672i | 0.939874 | − | 0.341522i | \(-0.110942\pi\) |
−0.765703 | + | 0.643194i | \(0.777609\pi\) | |||||||
\(54\) | 10.7206 | − | 2.87257i | 1.45889 | − | 0.390908i | ||||
\(55\) | − | 5.44537i | − | 0.734253i | ||||||
\(56\) | −20.3304 | + | 11.3434i | −2.71677 | + | 1.51582i | ||||
\(57\) | −1.12389 | + | 1.12389i | −0.148862 | + | 0.148862i | ||||
\(58\) | −3.18672 | − | 11.8930i | −0.418437 | − | 1.56163i | ||||
\(59\) | −7.54086 | − | 2.02057i | −0.981737 | − | 0.263056i | −0.267961 | − | 0.963430i | \(-0.586350\pi\) |
−0.713776 | + | 0.700374i | \(0.753016\pi\) | |||||||
\(60\) | 2.61482 | − | 9.75863i | 0.337571 | − | 1.25983i | ||||
\(61\) | 6.57067 | + | 3.79358i | 0.841288 | + | 0.485718i | 0.857702 | − | 0.514147i | \(-0.171892\pi\) |
−0.0164139 | + | 0.999865i | \(0.505225\pi\) | |||||||
\(62\) | 19.6186 | 2.49156 | ||||||||
\(63\) | 4.46703 | + | 4.60006i | 0.562793 | + | 0.579554i | ||||
\(64\) | 21.9945i | 2.74931i | ||||||||
\(65\) | 5.69306 | + | 7.11588i | 0.706137 | + | 0.882616i | ||||
\(66\) | −3.81822 | + | 2.20445i | −0.469990 | + | 0.271349i | ||||
\(67\) | −0.548339 | − | 0.146927i | −0.0669903 | − | 0.0179500i | 0.225168 | − | 0.974320i | \(-0.427707\pi\) |
−0.292159 | + | 0.956370i | \(0.594373\pi\) | |||||||
\(68\) | 6.39099 | + | 3.68984i | 0.775021 | + | 0.447459i | ||||
\(69\) | 0.998452 | 0.120200 | ||||||||
\(70\) | 17.4762 | − | 4.40899i | 2.08881 | − | 0.526976i | ||||
\(71\) | −10.7460 | + | 10.7460i | −1.27531 | + | 1.27531i | −0.332048 | + | 0.943263i | \(0.607739\pi\) |
−0.943263 | + | 0.332048i | \(0.892261\pi\) | |||||||
\(72\) | 20.5989 | − | 5.51947i | 2.42761 | − | 0.650475i | ||||
\(73\) | 11.8953 | + | 3.18733i | 1.39224 | + | 0.373049i | 0.875551 | − | 0.483125i | \(-0.160498\pi\) |
0.516687 | + | 0.856174i | \(0.327165\pi\) | |||||||
\(74\) | −3.07743 | − | 5.33027i | −0.357744 | − | 0.619631i | ||||
\(75\) | −0.526993 | + | 0.912778i | −0.0608519 | + | 0.105399i | ||||
\(76\) | −7.79312 | + | 7.79312i | −0.893933 | + | 0.893933i | ||||
\(77\) | −4.89414 | − | 2.92219i | −0.557739 | − | 0.333015i | ||||
\(78\) | 2.68483 | − | 6.87261i | 0.303998 | − | 0.778170i | ||||
\(79\) | −7.19713 | + | 12.4658i | −0.809740 | + | 1.40251i | 0.103303 | + | 0.994650i | \(0.467059\pi\) |
−0.913044 | + | 0.407862i | \(0.866275\pi\) | |||||||
\(80\) | 8.62680 | − | 32.1956i | 0.964505 | − | 3.59958i | ||||
\(81\) | −2.07210 | − | 3.58898i | −0.230233 | − | 0.398775i | ||||
\(82\) | 5.13234 | − | 8.88948i | 0.566773 | − | 0.981679i | ||||
\(83\) | −3.82648 | − | 3.82648i | −0.420010 | − | 0.420010i | 0.465197 | − | 0.885207i | \(-0.345984\pi\) |
−0.885207 | + | 0.465197i | \(0.845984\pi\) | |||||||
\(84\) | −7.36756 | − | 7.58698i | −0.803867 | − | 0.827807i | ||||
\(85\) | −2.50518 | − | 2.50518i | −0.271725 | − | 0.271725i | ||||
\(86\) | 1.13959 | − | 0.305353i | 0.122885 | − | 0.0329270i | ||||
\(87\) | 3.00368 | − | 1.73417i | 0.322028 | − | 0.185923i | ||||
\(88\) | −16.4179 | + | 9.47890i | −1.75016 | + | 1.01045i | ||||
\(89\) | −0.0134247 | − | 0.0501018i | −0.00142302 | − | 0.00531078i | 0.965211 | − | 0.261473i | \(-0.0842084\pi\) |
−0.966634 | + | 0.256163i | \(0.917542\pi\) | |||||||
\(90\) | −16.5101 | −1.74031 | ||||||||
\(91\) | 9.45066 | − | 1.29810i | 0.990698 | − | 0.136078i | ||||
\(92\) | 6.92335 | 0.721809 | ||||||||
\(93\) | 1.43034 | + | 5.33809i | 0.148319 | + | 0.553535i | ||||
\(94\) | −18.7084 | + | 10.8013i | −1.92962 | + | 1.11407i | ||||
\(95\) | 4.58220 | − | 2.64553i | 0.470124 | − | 0.271426i | ||||
\(96\) | −13.1611 | + | 3.52650i | −1.34325 | + | 0.359922i | ||||
\(97\) | 9.43761 | + | 9.43761i | 0.958244 | + | 0.958244i | 0.999162 | − | 0.0409188i | \(-0.0130285\pi\) |
−0.0409188 | + | 0.999162i | \(0.513028\pi\) | |||||||
\(98\) | 5.41574 | − | 18.0732i | 0.547072 | − | 1.82567i | ||||
\(99\) | 3.69210 | + | 3.69210i | 0.371070 | + | 0.371070i | ||||
\(100\) | −3.65421 | + | 6.32928i | −0.365421 | + | 0.632928i | ||||
\(101\) | −7.17255 | − | 12.4232i | −0.713696 | − | 1.23616i | −0.963461 | − | 0.267850i | \(-0.913687\pi\) |
0.249765 | − | 0.968306i | \(-0.419647\pi\) | |||||||
\(102\) | −0.742425 | + | 2.77077i | −0.0735110 | + | 0.274347i | ||||
\(103\) | 4.50750 | − | 7.80723i | 0.444138 | − | 0.769269i | −0.553854 | − | 0.832614i | \(-0.686843\pi\) |
0.997992 | + | 0.0633449i | \(0.0201768\pi\) | |||||||
\(104\) | 11.5445 | − | 29.5515i | 1.13203 | − | 2.89777i | ||||
\(105\) | 2.47380 | + | 4.43373i | 0.241419 | + | 0.432687i | ||||
\(106\) | −4.83321 | + | 4.83321i | −0.469443 | + | 0.469443i | ||||
\(107\) | −2.15478 | + | 3.73220i | −0.208311 | + | 0.360805i | −0.951183 | − | 0.308629i | \(-0.900130\pi\) |
0.742872 | + | 0.669434i | \(0.233463\pi\) | |||||||
\(108\) | 10.8395 | + | 18.7746i | 1.04303 | + | 1.80658i | ||||
\(109\) | 7.12483 | + | 1.90909i | 0.682434 | + | 0.182858i | 0.583350 | − | 0.812221i | \(-0.301742\pi\) |
0.0990849 | + | 0.995079i | \(0.468408\pi\) | |||||||
\(110\) | 14.1768 | − | 3.79867i | 1.35171 | − | 0.362189i | ||||
\(111\) | 1.22597 | − | 1.22597i | 0.116364 | − | 0.116364i | ||||
\(112\) | −24.3071 | − | 25.0309i | −2.29680 | − | 2.36520i | ||||
\(113\) | 10.1580 | 0.955583 | 0.477792 | − | 0.878473i | \(-0.341437\pi\) | ||||
0.477792 | + | 0.878473i | \(0.341437\pi\) | |||||||
\(114\) | −3.71002 | − | 2.14198i | −0.347475 | − | 0.200615i | ||||
\(115\) | −3.21053 | − | 0.860259i | −0.299384 | − | 0.0802196i | ||||
\(116\) | 20.8278 | − | 12.0249i | 1.93381 | − | 1.11649i | ||||
\(117\) | −8.68479 | − | 0.964710i | −0.802910 | − | 0.0891875i | ||||
\(118\) | − | 21.0419i | − | 1.93707i | ||||||
\(119\) | −3.59596 | + | 0.907207i | −0.329641 | + | 0.0831636i | ||||
\(120\) | 16.8858 | 1.54146 | ||||||||
\(121\) | 5.50646 | + | 3.17915i | 0.500587 | + | 0.289014i | ||||
\(122\) | −5.29278 | + | 19.7529i | −0.479186 | + | 1.78834i | ||||
\(123\) | 2.79296 | + | 0.748371i | 0.251833 | + | 0.0674783i | ||||
\(124\) | 9.91809 | + | 37.0148i | 0.890671 | + | 3.32403i | ||||
\(125\) | −6.45503 | + | 6.45503i | −0.577355 | + | 0.577355i | ||||
\(126\) | −8.85993 | + | 14.8388i | −0.789305 | + | 1.32194i | ||||
\(127\) | 8.50086i | 0.754329i | 0.926146 | + | 0.377165i | \(0.123101\pi\) | ||||
−0.926146 | + | 0.377165i | \(0.876899\pi\) | |||||||
\(128\) | −22.5932 | + | 6.05383i | −1.99698 | + | 0.535088i | ||||
\(129\) | 0.166169 | + | 0.287813i | 0.0146304 | + | 0.0253405i | ||||
\(130\) | −14.5545 | + | 19.7857i | −1.27651 | + | 1.73532i | ||||
\(131\) | −7.97433 | − | 4.60398i | −0.696720 | − | 0.402252i | 0.109404 | − | 0.993997i | \(-0.465106\pi\) |
−0.806125 | + | 0.591746i | \(0.798439\pi\) | |||||||
\(132\) | −6.08946 | − | 6.08946i | −0.530020 | − | 0.530020i | ||||
\(133\) | 0.0812549 | − | 5.53804i | 0.00704570 | − | 0.480209i | ||||
\(134\) | − | 1.53008i | − | 0.132179i | ||||||
\(135\) | −2.69372 | − | 10.0531i | −0.231838 | − | 0.865232i | ||||
\(136\) | −3.19235 | + | 11.9140i | −0.273742 | + | 1.02162i | ||||
\(137\) | −2.35513 | + | 8.78945i | −0.201212 | + | 0.750934i | 0.789359 | + | 0.613932i | \(0.210413\pi\) |
−0.990571 | + | 0.137002i | \(0.956253\pi\) | |||||||
\(138\) | 0.696517 | + | 2.59944i | 0.0592915 | + | 0.221279i | ||||
\(139\) | 0.744275i | 0.0631286i | 0.999502 | + | 0.0315643i | \(0.0100489\pi\) | ||||
−0.999502 | + | 0.0315643i | \(0.989951\pi\) | |||||||
\(140\) | 17.1536 | + | 30.7438i | 1.44974 | + | 2.59833i | ||||
\(141\) | −4.30294 | − | 4.30294i | −0.362373 | − | 0.362373i | ||||
\(142\) | −35.4731 | − | 20.4804i | −2.97684 | − | 1.71868i | ||||
\(143\) | 7.67942 | − | 1.16984i | 0.642185 | − | 0.0978271i | ||||
\(144\) | 15.9803 | + | 27.6787i | 1.33169 | + | 2.30656i | ||||
\(145\) | −11.1525 | + | 2.98830i | −0.926165 | + | 0.248165i | ||||
\(146\) | 33.1925i | 2.74703i | ||||||||
\(147\) | 5.31244 | + | 0.155923i | 0.438163 | + | 0.0128603i | ||||
\(148\) | 8.50095 | − | 8.50095i | 0.698774 | − | 0.698774i | ||||
\(149\) | −3.87314 | − | 14.4547i | −0.317300 | − | 1.18418i | −0.921829 | − | 0.387596i | \(-0.873306\pi\) |
0.604530 | − | 0.796583i | \(-0.293361\pi\) | |||||||
\(150\) | −2.74402 | − | 0.735257i | −0.224048 | − | 0.0600335i | ||||
\(151\) | 3.27408 | − | 12.2190i | 0.266441 | − | 0.994372i | −0.694921 | − | 0.719086i | \(-0.744561\pi\) |
0.961362 | − | 0.275286i | \(-0.0887726\pi\) | |||||||
\(152\) | −15.9527 | − | 9.21030i | −1.29394 | − | 0.747054i | ||||
\(153\) | 3.39716 | 0.274644 | ||||||||
\(154\) | 4.19370 | − | 14.7803i | 0.337938 | − | 1.19103i | ||||
\(155\) | − | 18.3971i | − | 1.47769i | ||||||
\(156\) | 14.3240 | + | 1.59112i | 1.14684 | + | 0.127391i | ||||
\(157\) | 9.11258 | − | 5.26115i | 0.727263 | − | 0.419886i | −0.0901569 | − | 0.995928i | \(-0.528737\pi\) |
0.817420 | + | 0.576042i | \(0.195404\pi\) | |||||||
\(158\) | −37.4750 | − | 10.0414i | −2.98135 | − | 0.798850i | ||||
\(159\) | −1.66746 | − | 0.962711i | −0.132239 | − | 0.0763479i | ||||
\(160\) | 45.3579 | 3.58586 | ||||||||
\(161\) | −2.49607 | + | 2.42388i | −0.196718 | + | 0.191029i | ||||
\(162\) | 7.89830 | − | 7.89830i | 0.620549 | − | 0.620549i | ||||
\(163\) | −0.520357 | + | 0.139429i | −0.0407575 | + | 0.0109209i | −0.279140 | − | 0.960250i | \(-0.590049\pi\) |
0.238383 | + | 0.971171i | \(0.423383\pi\) | |||||||
\(164\) | 19.3666 | + | 5.18927i | 1.51228 | + | 0.405214i | ||||
\(165\) | 2.06719 | + | 3.58048i | 0.160931 | + | 0.278740i | ||||
\(166\) | 7.29277 | − | 12.6314i | 0.566029 | − | 0.980390i | ||||
\(167\) | −4.43553 | + | 4.43553i | −0.343232 | + | 0.343232i | −0.857581 | − | 0.514349i | \(-0.828034\pi\) |
0.514349 | + | 0.857581i | \(0.328034\pi\) | |||||||
\(168\) | 9.06159 | − | 15.1765i | 0.699117 | − | 1.17089i | ||||
\(169\) | −8.81222 | + | 9.55744i | −0.677863 | + | 0.735188i | ||||
\(170\) | 4.77455 | − | 8.26976i | 0.366191 | − | 0.634262i | ||||
\(171\) | −1.31311 | + | 4.90059i | −0.100416 | + | 0.374758i | ||||
\(172\) | 1.15223 | + | 1.99572i | 0.0878568 | + | 0.152172i | ||||
\(173\) | −1.29813 | + | 2.24843i | −0.0986952 | + | 0.170945i | −0.911145 | − | 0.412086i | \(-0.864800\pi\) |
0.812450 | + | 0.583031i | \(0.198134\pi\) | |||||||
\(174\) | 6.61022 | + | 6.61022i | 0.501120 | + | 0.501120i | ||||
\(175\) | −0.898449 | − | 3.56124i | −0.0679163 | − | 0.269205i | ||||
\(176\) | −20.0903 | − | 20.0903i | −1.51437 | − | 1.51437i | ||||
\(177\) | 5.72538 | − | 1.53411i | 0.430346 | − | 0.115311i | ||||
\(178\) | 0.121073 | − | 0.0699017i | 0.00907482 | − | 0.00523935i | ||||
\(179\) | 1.39849 | − | 0.807419i | 0.104528 | − | 0.0603493i | −0.446825 | − | 0.894622i | \(-0.647445\pi\) |
0.551353 | + | 0.834272i | \(0.314112\pi\) | |||||||
\(180\) | −8.34658 | − | 31.1499i | −0.622118 | − | 2.32177i | ||||
\(181\) | −2.49671 | −0.185579 | −0.0927895 | − | 0.995686i | \(-0.529578\pi\) | ||||
−0.0927895 | + | 0.995686i | \(0.529578\pi\) | |||||||
\(182\) | 9.97232 | + | 23.6989i | 0.739197 | + | 1.75668i | ||||
\(183\) | −5.76053 | −0.425830 | ||||||||
\(184\) | 2.99495 | + | 11.1773i | 0.220791 | + | 0.824003i | ||||
\(185\) | −4.99839 | + | 2.88582i | −0.367489 | + | 0.212170i | ||||
\(186\) | −12.8998 | + | 7.44768i | −0.945856 | + | 0.546090i | ||||
\(187\) | −2.91707 | + | 0.781626i | −0.213317 | + | 0.0571582i | ||||
\(188\) | −29.8370 | − | 29.8370i | −2.17609 | − | 2.17609i | ||||
\(189\) | −10.4810 | − | 2.97384i | −0.762379 | − | 0.216315i | ||||
\(190\) | 10.0841 | + | 10.0841i | 0.731577 | + | 0.731577i | ||||
\(191\) | 5.46624 | − | 9.46781i | 0.395523 | − | 0.685066i | −0.597645 | − | 0.801761i | \(-0.703897\pi\) |
0.993168 | + | 0.116695i | \(0.0372299\pi\) | |||||||
\(192\) | −8.34963 | − | 14.4620i | −0.602582 | − | 1.04370i | ||||
\(193\) | −1.61284 | + | 6.01922i | −0.116095 | + | 0.433273i | −0.999367 | − | 0.0355893i | \(-0.988669\pi\) |
0.883271 | + | 0.468862i | \(0.155336\pi\) | |||||||
\(194\) | −17.9869 | + | 31.1542i | −1.29138 | + | 2.23674i | ||||
\(195\) | −6.44470 | − | 2.51767i | −0.461514 | − | 0.180294i | ||||
\(196\) | 36.8369 | + | 1.08119i | 2.63121 | + | 0.0772276i | ||||
\(197\) | 11.4927 | − | 11.4927i | 0.818821 | − | 0.818821i | −0.167116 | − | 0.985937i | \(-0.553446\pi\) |
0.985937 | + | 0.167116i | \(0.0534455\pi\) | |||||||
\(198\) | −7.03667 | + | 12.1879i | −0.500075 | + | 0.866154i | ||||
\(199\) | −9.02611 | − | 15.6337i | −0.639844 | − | 1.10824i | −0.985467 | − | 0.169868i | \(-0.945666\pi\) |
0.345623 | − | 0.938373i | \(-0.387668\pi\) | |||||||
\(200\) | −11.7990 | − | 3.16153i | −0.834315 | − | 0.223554i | ||||
\(201\) | 0.416325 | − | 0.111554i | 0.0293653 | − | 0.00786841i | ||||
\(202\) | 27.3399 | − | 27.3399i | 1.92363 | − | 1.92363i | ||||
\(203\) | −3.29906 | + | 11.6272i | −0.231549 | + | 0.816069i | ||||
\(204\) | −5.60300 | −0.392288 | ||||||||
\(205\) | −8.33599 | − | 4.81279i | −0.582211 | − | 0.336140i | ||||
\(206\) | 23.4703 | + | 6.28884i | 1.63525 | + | 0.438164i | ||||
\(207\) | 2.76010 | − | 1.59355i | 0.191840 | − | 0.110759i | ||||
\(208\) | 47.2577 | + | 5.24941i | 3.27673 | + | 0.363981i | ||||
\(209\) | − | 4.51016i | − | 0.311974i | ||||||
\(210\) | −9.81734 | + | 9.53343i | −0.677461 | + | 0.657869i | ||||
\(211\) | 2.78534 | 0.191750 | 0.0958752 | − | 0.995393i | \(-0.469435\pi\) | ||||
0.0958752 | + | 0.995393i | \(0.469435\pi\) | |||||||
\(212\) | −11.5623 | − | 6.67552i | −0.794105 | − | 0.458477i | ||||
\(213\) | 2.98634 | − | 11.1452i | 0.204621 | − | 0.763655i | ||||
\(214\) | −11.2198 | − | 3.00634i | −0.766971 | − | 0.205509i | ||||
\(215\) | −0.286340 | − | 1.06864i | −0.0195282 | − | 0.0728804i | ||||
\(216\) | −25.6213 | + | 25.6213i | −1.74331 | + | 1.74331i | ||||
\(217\) | −16.5347 | − | 9.87257i | −1.12245 | − | 0.670194i | ||||
\(218\) | 19.8810i | 1.34651i | ||||||||
\(219\) | −9.03147 | + | 2.41997i | −0.610290 | + | 0.163527i | ||||
\(220\) | 14.3341 | + | 24.8274i | 0.966403 | + | 1.67386i | ||||
\(221\) | 2.99478 | − | 4.07116i | 0.201450 | − | 0.273856i | ||||
\(222\) | 4.04699 | + | 2.33653i | 0.271616 | + | 0.156818i | ||||
\(223\) | 12.1327 | + | 12.1327i | 0.812463 | + | 0.812463i | 0.985003 | − | 0.172540i | \(-0.0551974\pi\) |
−0.172540 | + | 0.985003i | \(0.555197\pi\) | |||||||
\(224\) | 24.3408 | − | 40.7664i | 1.62634 | − | 2.72382i | ||||
\(225\) | 3.36436i | 0.224291i | ||||||||
\(226\) | 7.08618 | + | 26.4460i | 0.471366 | + | 1.75916i | ||||
\(227\) | −4.43867 | + | 16.5653i | −0.294605 | + | 1.09948i | 0.646926 | + | 0.762553i | \(0.276054\pi\) |
−0.941531 | + | 0.336927i | \(0.890612\pi\) | |||||||
\(228\) | 2.16574 | − | 8.08265i | 0.143430 | − | 0.535286i | ||||
\(229\) | −5.63884 | − | 21.0444i | −0.372625 | − | 1.39065i | −0.856784 | − | 0.515675i | \(-0.827541\pi\) |
0.484160 | − | 0.874980i | \(-0.339125\pi\) | |||||||
\(230\) | − | 8.95863i | − | 0.590715i | ||||||
\(231\) | 4.32737 | + | 0.0634917i | 0.284720 | + | 0.00417745i | ||||
\(232\) | 28.4233 | + | 28.4233i | 1.86608 | + | 1.86608i | ||||
\(233\) | 26.1233 | + | 15.0823i | 1.71139 | + | 0.988073i | 0.932688 | + | 0.360683i | \(0.117456\pi\) |
0.778705 | + | 0.627390i | \(0.215877\pi\) | |||||||
\(234\) | −3.54690 | − | 23.2836i | −0.231868 | − | 1.52209i | ||||
\(235\) | 10.1288 | + | 17.5435i | 0.660728 | + | 1.14441i | ||||
\(236\) | 39.7003 | − | 10.6377i | 2.58427 | − | 0.692453i | ||||
\(237\) | − | 10.9288i | − | 0.709902i | ||||||
\(238\) | −4.87042 | − | 8.72910i | −0.315702 | − | 0.565823i | ||||
\(239\) | 10.1720 | − | 10.1720i | 0.657969 | − | 0.657969i | −0.296930 | − | 0.954899i | \(-0.595963\pi\) |
0.954899 | + | 0.296930i | \(0.0959628\pi\) | |||||||
\(240\) | 6.54987 | + | 24.4445i | 0.422793 | + | 1.57788i | ||||
\(241\) | 20.6397 | + | 5.53040i | 1.32952 | + | 0.356245i | 0.852537 | − | 0.522667i | \(-0.175063\pi\) |
0.476986 | + | 0.878911i | \(0.341729\pi\) | |||||||
\(242\) | −4.43554 | + | 16.5537i | −0.285127 | + | 1.06411i | ||||
\(243\) | 13.4233 | + | 7.74995i | 0.861106 | + | 0.497160i | ||||
\(244\) | −39.9440 | −2.55715 | ||||||||
\(245\) | −16.9479 | − | 5.07854i | −1.08276 | − | 0.324456i | ||||
\(246\) | 7.79344i | 0.496891i | ||||||||
\(247\) | 4.71531 | + | 5.89377i | 0.300028 | + | 0.375012i | ||||
\(248\) | −55.4677 | + | 32.0243i | −3.52220 | + | 2.03354i | ||||
\(249\) | 3.96863 | + | 1.06339i | 0.251502 | + | 0.0673897i | ||||
\(250\) | −21.3085 | − | 12.3024i | −1.34767 | − | 0.778075i | ||||
\(251\) | 10.4531 | 0.659791 | 0.329896 | − | 0.944017i | \(-0.392986\pi\) | ||||
0.329896 | + | 0.944017i | \(0.392986\pi\) | |||||||
\(252\) | −32.4757 | − | 9.21455i | −2.04578 | − | 0.580462i | ||||
\(253\) | −2.00340 | + | 2.00340i | −0.125952 | + | 0.125952i | ||||
\(254\) | −22.1317 | + | 5.93017i | −1.38867 | + | 0.372092i | ||||
\(255\) | 2.59825 | + | 0.696199i | 0.162709 | + | 0.0435977i | ||||
\(256\) | −9.52744 | − | 16.5020i | −0.595465 | − | 1.03138i | ||||
\(257\) | 7.01434 | − | 12.1492i | 0.437543 | − | 0.757846i | −0.559957 | − | 0.828522i | \(-0.689182\pi\) |
0.997499 | + | 0.0706758i | \(0.0225156\pi\) | |||||||
\(258\) | −0.633394 | + | 0.633394i | −0.0394334 | + | 0.0394334i | ||||
\(259\) | −0.0886351 | + | 6.04105i | −0.00550752 | + | 0.375373i | ||||
\(260\) | −44.6881 | − | 17.4577i | −2.77144 | − | 1.08268i | ||||
\(261\) | 5.53554 | − | 9.58784i | 0.342641 | − | 0.593472i | ||||
\(262\) | 6.42345 | − | 23.9726i | 0.396842 | − | 1.48103i | ||||
\(263\) | −1.26443 | − | 2.19006i | −0.0779683 | − | 0.135045i | 0.824405 | − | 0.566000i | \(-0.191510\pi\) |
−0.902373 | + | 0.430955i | \(0.858177\pi\) | |||||||
\(264\) | 7.19683 | − | 12.4653i | 0.442934 | − | 0.767185i | ||||
\(265\) | 4.53228 | + | 4.53228i | 0.278416 | + | 0.278416i | ||||
\(266\) | 14.4748 | − | 3.65178i | 0.887507 | − | 0.223905i | ||||
\(267\) | 0.0278469 | + | 0.0278469i | 0.00170420 | + | 0.00170420i | ||||
\(268\) | 2.88683 | − | 0.773525i | 0.176341 | − | 0.0472505i | ||||
\(269\) | −7.00983 | + | 4.04713i | −0.427397 | + | 0.246758i | −0.698237 | − | 0.715867i | \(-0.746032\pi\) |
0.270840 | + | 0.962624i | \(0.412699\pi\) | |||||||
\(270\) | 24.2938 | − | 14.0260i | 1.47847 | − | 0.853596i | ||||
\(271\) | 7.25276 | + | 27.0677i | 0.440574 | + | 1.64424i | 0.727365 | + | 0.686251i | \(0.240745\pi\) |
−0.286791 | + | 0.957993i | \(0.592588\pi\) | |||||||
\(272\) | −18.4854 | −1.12084 | ||||||||
\(273\) | −5.72128 | + | 4.44123i | −0.346267 | + | 0.268796i | ||||
\(274\) | −24.5260 | −1.48167 | ||||||||
\(275\) | −0.774080 | − | 2.88891i | −0.0466788 | − | 0.174208i | ||||
\(276\) | −4.55229 | + | 2.62827i | −0.274016 | + | 0.158203i | ||||
\(277\) | −7.99289 | + | 4.61469i | −0.480246 | + | 0.277270i | −0.720519 | − | 0.693435i | \(-0.756096\pi\) |
0.240273 | + | 0.970705i | \(0.422763\pi\) | |||||||
\(278\) | −1.93770 | + | 0.519204i | −0.116215 | + | 0.0311398i | ||||
\(279\) | 12.4737 | + | 12.4737i | 0.746780 | + | 0.746780i | ||||
\(280\) | −42.2136 | + | 40.9928i | −2.52274 | + | 2.44979i | ||||
\(281\) | 8.78641 | + | 8.78641i | 0.524153 | + | 0.524153i | 0.918823 | − | 0.394670i | \(-0.129141\pi\) |
−0.394670 | + | 0.918823i | \(0.629141\pi\) | |||||||
\(282\) | 8.20085 | − | 14.2043i | 0.488354 | − | 0.845853i | ||||
\(283\) | −2.72067 | − | 4.71234i | −0.161727 | − | 0.280119i | 0.773761 | − | 0.633477i | \(-0.218373\pi\) |
−0.935488 | + | 0.353358i | \(0.885040\pi\) | |||||||
\(284\) | 20.7076 | − | 77.2816i | 1.22877 | − | 4.58582i | ||||
\(285\) | −2.00861 | + | 3.47902i | −0.118980 | + | 0.206079i | ||||
\(286\) | 8.40279 | + | 19.1770i | 0.496867 | + | 1.13396i | ||||
\(287\) | −8.79901 | + | 4.90942i | −0.519389 | + | 0.289794i | ||||
\(288\) | −30.7539 | + | 30.7539i | −1.81219 | + | 1.81219i | ||||
\(289\) | 7.51758 | − | 13.0208i | 0.442210 | − | 0.765931i | ||||
\(290\) | −15.5599 | − | 26.9506i | −0.913709 | − | 1.58259i | ||||
\(291\) | −9.78822 | − | 2.62275i | −0.573796 | − | 0.153748i | ||||
\(292\) | −62.6250 | + | 16.7803i | −3.66485 | + | 0.981993i | ||||
\(293\) | −8.39280 | + | 8.39280i | −0.490313 | + | 0.490313i | −0.908405 | − | 0.418092i | \(-0.862699\pi\) |
0.418092 | + | 0.908405i | \(0.362699\pi\) | |||||||
\(294\) | 3.30000 | + | 13.9395i | 0.192460 | + | 0.812971i | ||||
\(295\) | −19.7318 | −1.14883 | ||||||||
\(296\) | 17.4017 | + | 10.0469i | 1.01145 | + | 0.583962i | ||||
\(297\) | −8.56936 | − | 2.29615i | −0.497245 | − | 0.133236i | ||||
\(298\) | 34.9306 | − | 20.1672i | 2.02347 | − | 1.16825i | ||||
\(299\) | 0.523468 | − | 4.71251i | 0.0302729 | − | 0.272532i | ||||
\(300\) | − | 5.54890i | − | 0.320366i | ||||||
\(301\) | −1.11412 | − | 0.316117i | −0.0642168 | − | 0.0182207i | ||||
\(302\) | 34.0959 | 1.96200 | ||||||||
\(303\) | 9.43230 | + | 5.44574i | 0.541871 | + | 0.312850i | ||||
\(304\) | 7.14520 | − | 26.6663i | 0.409805 | − | 1.52941i | ||||
\(305\) | 18.5230 | + | 4.96323i | 1.06063 | + | 0.284194i | ||||
\(306\) | 2.36985 | + | 8.84439i | 0.135475 | + | 0.505600i | ||||
\(307\) | −1.45103 | + | 1.45103i | −0.0828145 | + | 0.0828145i | −0.747301 | − | 0.664486i | \(-0.768650\pi\) |
0.664486 | + | 0.747301i | \(0.268650\pi\) | |||||||
\(308\) | 30.0063 | + | 0.440257i | 1.70977 | + | 0.0250860i | ||||
\(309\) | 6.84462i | 0.389377i | ||||||||
\(310\) | 47.8962 | − | 12.8337i | 2.72032 | − | 0.728907i | ||||
\(311\) | −1.64915 | − | 2.85641i | −0.0935147 | − | 0.161972i | 0.815473 | − | 0.578795i | \(-0.196477\pi\) |
−0.908988 | + | 0.416823i | \(0.863144\pi\) | |||||||
\(312\) | 3.62763 | + | 23.8135i | 0.205374 | + | 1.34817i | ||||
\(313\) | −20.7394 | − | 11.9739i | −1.17226 | − | 0.676805i | −0.218049 | − | 0.975938i | \(-0.569969\pi\) |
−0.954212 | + | 0.299133i | \(0.903303\pi\) | |||||||
\(314\) | 20.0542 | + | 20.0542i | 1.13172 | + | 1.13172i | ||||
\(315\) | 13.9148 | + | 8.30828i | 0.784013 | + | 0.468118i | ||||
\(316\) | − | 75.7813i | − | 4.26303i | ||||||
\(317\) | −7.84293 | − | 29.2702i | −0.440503 | − | 1.64398i | −0.727544 | − | 0.686061i | \(-0.759338\pi\) |
0.287041 | − | 0.957918i | \(-0.407328\pi\) | |||||||
\(318\) | 1.34317 | − | 5.01277i | 0.0753212 | − | 0.281102i | ||||
\(319\) | −2.54726 | + | 9.50651i | −0.142619 | + | 0.532263i | ||||
\(320\) | 14.3880 | + | 53.6966i | 0.804311 | + | 3.00173i | ||||
\(321\) | − | 3.27203i | − | 0.182627i | ||||||
\(322\) | −8.05176 | − | 4.80755i | −0.448707 | − | 0.267914i | ||||
\(323\) | −2.07493 | − | 2.07493i | −0.115452 | − | 0.115452i | ||||
\(324\) | 18.8948 | + | 10.9089i | 1.04971 | + | 0.606052i | ||||
\(325\) | 4.03186 | + | 2.96586i | 0.223647 | + | 0.164516i | ||||
\(326\) | −0.725999 | − | 1.25747i | −0.0402094 | − | 0.0696447i | ||||
\(327\) | −5.40950 | + | 1.44947i | −0.299146 | + | 0.0801560i | ||||
\(328\) | 33.5110i | 1.85034i | ||||||||
\(329\) | 21.2031 | + | 0.311095i | 1.16897 | + | 0.0171512i | ||||
\(330\) | −7.87960 | + | 7.87960i | −0.433758 | + | 0.433758i | ||||
\(331\) | −2.47572 | − | 9.23949i | −0.136078 | − | 0.507849i | −0.999991 | − | 0.00420839i | \(-0.998660\pi\) |
0.863914 | − | 0.503640i | \(-0.168006\pi\) | |||||||
\(332\) | 27.5188 | + | 7.37365i | 1.51029 | + | 0.404682i | ||||
\(333\) | 1.43238 | − | 5.34570i | 0.0784937 | − | 0.292943i | ||||
\(334\) | −14.6420 | − | 8.45355i | −0.801173 | − | 0.462557i | ||||
\(335\) | −1.43481 | −0.0783921 | ||||||||
\(336\) | 25.4849 | + | 7.23100i | 1.39031 | + | 0.394484i | ||||
\(337\) | 24.0729i | 1.31133i | 0.755050 | + | 0.655667i | \(0.227612\pi\) | ||||
−0.755050 | + | 0.655667i | \(0.772388\pi\) | |||||||
\(338\) | −31.0299 | − | 16.2751i | −1.68780 | − | 0.885249i | ||||
\(339\) | −6.67916 | + | 3.85621i | −0.362762 | + | 0.209441i | ||||
\(340\) | 18.0165 | + | 4.82750i | 0.977081 | + | 0.261808i | ||||
\(341\) | −13.5809 | − | 7.84092i | −0.735446 | − | 0.424610i | ||||
\(342\) | −13.6746 | −0.739435 | ||||||||
\(343\) | −13.6593 | + | 12.5069i | −0.737534 | + | 0.675310i | ||||
\(344\) | −2.72353 | + | 2.72353i | −0.146843 | + | 0.146843i | ||||
\(345\) | 2.43759 | − | 0.653150i | 0.131235 | − | 0.0351644i | ||||
\(346\) | −6.75929 | − | 1.81115i | −0.363382 | − | 0.0973679i | ||||
\(347\) | 1.98989 | + | 3.44658i | 0.106823 | + | 0.185022i | 0.914481 | − | 0.404628i | \(-0.132599\pi\) |
−0.807659 | + | 0.589650i | \(0.799266\pi\) | |||||||
\(348\) | −9.12988 | + | 15.8134i | −0.489413 | + | 0.847688i | ||||
\(349\) | −5.05995 | + | 5.05995i | −0.270853 | + | 0.270853i | −0.829443 | − | 0.558591i | \(-0.811342\pi\) |
0.558591 | + | 0.829443i | \(0.311342\pi\) | |||||||
\(350\) | 8.64482 | − | 4.82340i | 0.462085 | − | 0.257821i | ||||
\(351\) | 13.5988 | − | 5.95859i | 0.725852 | − | 0.318046i | ||||
\(352\) | 19.3318 | − | 33.4836i | 1.03039 | − | 1.78468i | ||||
\(353\) | −2.53408 | + | 9.45731i | −0.134875 | + | 0.503362i | 0.865123 | + | 0.501560i | \(0.167240\pi\) |
−0.999998 | + | 0.00180195i | \(0.999426\pi\) | |||||||
\(354\) | 7.98802 | + | 13.8357i | 0.424558 | + | 0.735357i | ||||
\(355\) | −19.2052 | + | 33.2644i | −1.01931 | + | 1.76549i | ||||
\(356\) | 0.193093 | + | 0.193093i | 0.0102339 | + | 0.0102339i | ||||
\(357\) | 2.02004 | − | 1.96163i | 0.106912 | − | 0.103820i | ||||
\(358\) | 3.07767 | + | 3.07767i | 0.162660 | + | 0.162660i | ||||
\(359\) | −35.9441 | + | 9.63119i | −1.89706 | + | 0.508315i | −0.899628 | + | 0.436657i | \(0.856162\pi\) |
−0.997429 | + | 0.0716576i | \(0.977171\pi\) | |||||||
\(360\) | 46.6789 | − | 26.9501i | 2.46019 | − | 1.42039i | ||||
\(361\) | −12.6592 | + | 7.30882i | −0.666276 | + | 0.384675i | ||||
\(362\) | −1.74170 | − | 6.50011i | −0.0915416 | − | 0.341638i | ||||
\(363\) | −4.82753 | −0.253380 | ||||||||
\(364\) | −39.6718 | + | 30.7959i | −2.07937 | + | 1.61414i | ||||
\(365\) | 31.1258 | 1.62920 | ||||||||
\(366\) | −4.01853 | − | 14.9973i | −0.210052 | − | 0.783924i | ||||
\(367\) | 24.6834 | − | 14.2510i | 1.28846 | − | 0.743895i | 0.310083 | − | 0.950709i | \(-0.399643\pi\) |
0.978380 | + | 0.206814i | \(0.0663097\pi\) | |||||||
\(368\) | −15.0189 | + | 8.67118i | −0.782915 | + | 0.452016i | ||||
\(369\) | 8.91522 | − | 2.38883i | 0.464108 | − | 0.124357i | ||||
\(370\) | −11.0000 | − | 11.0000i | −0.571863 | − | 0.571863i | ||||
\(371\) | 6.50568 | − | 1.64129i | 0.337758 | − | 0.0852114i | ||||
\(372\) | −20.5731 | − | 20.5731i | −1.06667 | − | 1.06667i | ||||
\(373\) | 2.36014 | − | 4.08789i | 0.122204 | − | 0.211663i | −0.798433 | − | 0.602084i | \(-0.794337\pi\) |
0.920636 | + | 0.390421i | \(0.127671\pi\) | |||||||
\(374\) | −4.06988 | − | 7.04923i | −0.210448 | − | 0.364507i | ||||
\(375\) | 1.79388 | − | 6.69484i | 0.0926354 | − | 0.345720i | ||||
\(376\) | 35.2628 | − | 61.0770i | 1.81854 | − | 3.14981i | ||||
\(377\) | −6.61022 | − | 15.0860i | −0.340444 | − | 0.776969i | ||||
\(378\) | 0.430795 | − | 29.3614i | 0.0221577 | − | 1.51019i | ||||
\(379\) | 4.79288 | − | 4.79288i | 0.246193 | − | 0.246193i | −0.573213 | − | 0.819406i | \(-0.694303\pi\) |
0.819406 | + | 0.573213i | \(0.194303\pi\) | |||||||
\(380\) | −13.9279 | + | 24.1238i | −0.714486 | + | 1.23753i | ||||
\(381\) | −3.22713 | − | 5.58955i | −0.165331 | − | 0.286361i | ||||
\(382\) | 28.4624 | + | 7.62647i | 1.45626 | + | 0.390204i | ||||
\(383\) | 5.13388 | − | 1.37562i | 0.262329 | − | 0.0702908i | −0.125257 | − | 0.992124i | \(-0.539976\pi\) |
0.387586 | + | 0.921833i | \(0.373309\pi\) | |||||||
\(384\) | 12.5575 | − | 12.5575i | 0.640821 | − | 0.640821i | ||||
\(385\) | −13.8600 | − | 3.93259i | −0.706370 | − | 0.200423i | ||||
\(386\) | −16.7960 | −0.854892 | ||||||||
\(387\) | 0.918710 | + | 0.530417i | 0.0467006 | + | 0.0269626i | ||||
\(388\) | −67.8724 | − | 18.1864i | −3.44570 | − | 0.923272i | ||||
\(389\) | −30.2004 | + | 17.4362i | −1.53122 | + | 0.884050i | −0.531913 | + | 0.846799i | \(0.678527\pi\) |
−0.999306 | + | 0.0372510i | \(0.988140\pi\) | |||||||
\(390\) | 2.05886 | − | 18.5349i | 0.104254 | − | 0.938550i | ||||
\(391\) | 1.84335i | 0.0932224i | ||||||||
\(392\) | 14.1897 | + | 59.9386i | 0.716687 | + | 3.02736i | ||||
\(393\) | 6.99112 | 0.352655 | ||||||||
\(394\) | 37.9381 | + | 21.9036i | 1.91130 | + | 1.10349i | ||||
\(395\) | −9.41618 | + | 35.1417i | −0.473779 | + | 1.76817i | ||||
\(396\) | −26.5525 | − | 7.11472i | −1.33431 | − | 0.357528i | ||||
\(397\) | −9.42978 | − | 35.1924i | −0.473267 | − | 1.76626i | −0.627910 | − | 0.778286i | \(-0.716090\pi\) |
0.154643 | − | 0.987970i | \(-0.450577\pi\) | |||||||
\(398\) | 34.4052 | − | 34.4052i | 1.72458 | − | 1.72458i | ||||
\(399\) | 2.04894 | + | 3.67226i | 0.102576 | + | 0.183843i | ||||
\(400\) | − | 18.3069i | − | 0.915347i | ||||||
\(401\) | 14.2063 | − | 3.80657i | 0.709430 | − | 0.190091i | 0.113979 | − | 0.993483i | \(-0.463640\pi\) |
0.595451 | + | 0.803392i | \(0.296974\pi\) | |||||||
\(402\) | 0.580854 | + | 1.00607i | 0.0289704 | + | 0.0501782i | ||||
\(403\) | 25.9447 | − | 3.95229i | 1.29240 | − | 0.196877i | ||||
\(404\) | 65.4044 | + | 37.7612i | 3.25399 | + | 1.87869i | ||||
\(405\) | −7.40652 | − | 7.40652i | −0.368033 | − | 0.368033i | ||||
\(406\) | −32.5724 | − | 0.477907i | −1.61654 | − | 0.0237181i | ||||
\(407\) | 4.91981i | 0.243866i | ||||||||
\(408\) | −2.42379 | − | 9.04569i | −0.119995 | − | 0.447828i | ||||
\(409\) | 0.568872 | − | 2.12306i | 0.0281289 | − | 0.104979i | −0.950434 | − | 0.310926i | \(-0.899361\pi\) |
0.978563 | + | 0.205947i | \(0.0660276\pi\) | |||||||
\(410\) | 6.71477 | − | 25.0599i | 0.331619 | − | 1.23762i | ||||
\(411\) | −1.78812 | − | 6.67337i | −0.0882017 | − | 0.329173i | ||||
\(412\) | 47.4612i | 2.33825i | ||||||||
\(413\) | −10.5888 | + | 17.7344i | −0.521043 | + | 0.872651i | ||||
\(414\) | 6.07419 | + | 6.07419i | 0.298530 | + | 0.298530i | ||||
\(415\) | −11.8450 | − | 6.83869i | −0.581446 | − | 0.335698i | ||||
\(416\) | 9.74435 | + | 63.9667i | 0.477756 | + | 3.13623i | ||||
\(417\) | −0.282545 | − | 0.489381i | −0.0138363 | − | 0.0239651i | ||||
\(418\) | 11.7421 | − | 3.14628i | 0.574323 | − | 0.153889i | ||||
\(419\) | − | 31.5129i | − | 1.53951i | −0.638342 | − | 0.769753i | \(-0.720380\pi\) | ||
0.638342 | − | 0.769753i | \(-0.279620\pi\) | |||||||
\(420\) | −22.9500 | − | 13.7030i | −1.11985 | − | 0.668639i | ||||
\(421\) | −10.0626 | + | 10.0626i | −0.490422 | + | 0.490422i | −0.908439 | − | 0.418017i | \(-0.862725\pi\) |
0.418017 | + | 0.908439i | \(0.362725\pi\) | |||||||
\(422\) | 1.94304 | + | 7.25153i | 0.0945858 | + | 0.352999i | ||||
\(423\) | −18.7625 | − | 5.02741i | −0.912266 | − | 0.244441i | ||||
\(424\) | 5.77549 | − | 21.5544i | 0.280483 | − | 1.04678i | ||||
\(425\) | −1.68518 | − | 0.972940i | −0.0817433 | − | 0.0471945i | ||||
\(426\) | 31.0994 | 1.50677 | ||||||||
\(427\) | 14.4010 | − | 13.9845i | 0.696912 | − | 0.676757i | ||||
\(428\) | − | 22.6885i | − | 1.09669i | ||||||
\(429\) | −4.60533 | + | 3.68449i | −0.222347 | + | 0.177889i | ||||
\(430\) | 2.58241 | − | 1.49096i | 0.124535 | − | 0.0719002i | ||||
\(431\) | −12.8581 | − | 3.44532i | −0.619353 | − | 0.165955i | −0.0645192 | − | 0.997916i | \(-0.520551\pi\) |
−0.554834 | + | 0.831961i | \(0.687218\pi\) | |||||||
\(432\) | −47.0285 | − | 27.1519i | −2.26266 | − | 1.30635i | ||||
\(433\) | −29.1175 | −1.39930 | −0.699648 | − | 0.714488i | \(-0.746660\pi\) | ||||
−0.699648 | + | 0.714488i | \(0.746660\pi\) | |||||||
\(434\) | 14.1683 | − | 49.9348i | 0.680102 | − | 2.39695i | ||||
\(435\) | 6.19865 | − | 6.19865i | 0.297202 | − | 0.297202i | ||||
\(436\) | −37.5100 | + | 10.0508i | −1.79640 | + | 0.481344i | ||||
\(437\) | −2.65914 | − | 0.712515i | −0.127204 | − | 0.0340842i | ||||
\(438\) | −12.6006 | − | 21.8250i | −0.602082 | − | 1.04284i | ||||
\(439\) | −5.15668 | + | 8.93164i | −0.246115 | + | 0.426284i | −0.962445 | − | 0.271478i | \(-0.912487\pi\) |
0.716329 | + | 0.697762i | \(0.245821\pi\) | |||||||
\(440\) | −33.8815 | + | 33.8815i | −1.61524 | + | 1.61524i | ||||
\(441\) | 14.9345 | − | 8.04772i | 0.711166 | − | 0.383225i | ||||
\(442\) | 12.6883 | + | 4.95677i | 0.603520 | + | 0.235769i | ||||
\(443\) | −0.307483 | + | 0.532577i | −0.0146090 | + | 0.0253035i | −0.873237 | − | 0.487295i | \(-0.837984\pi\) |
0.858628 | + | 0.512598i | \(0.171317\pi\) | |||||||
\(444\) | −2.36245 | + | 8.81677i | −0.112117 | + | 0.418426i | ||||
\(445\) | −0.0655493 | − | 0.113535i | −0.00310734 | − | 0.00538207i | ||||
\(446\) | −23.1233 | + | 40.0507i | −1.09492 | + | 1.89645i | ||||
\(447\) | 8.03406 | + | 8.03406i | 0.379998 | + | 0.379998i | ||||
\(448\) | 55.9821 | + | 15.8842i | 2.64490 | + | 0.750457i | ||||
\(449\) | 8.66406 | + | 8.66406i | 0.408882 | + | 0.408882i | 0.881349 | − | 0.472466i | \(-0.156636\pi\) |
−0.472466 | + | 0.881349i | \(0.656636\pi\) | |||||||
\(450\) | −8.75900 | + | 2.34697i | −0.412903 | + | 0.110637i | ||||
\(451\) | −7.10569 | + | 4.10247i | −0.334594 | + | 0.193178i | ||||
\(452\) | −46.3139 | + | 26.7393i | −2.17842 | + | 1.25771i | ||||
\(453\) | 2.48584 | + | 9.27728i | 0.116795 | + | 0.435885i | ||||
\(454\) | −46.2237 | −2.16939 | ||||||||
\(455\) | 22.2234 | − | 9.35140i | 1.04185 | − | 0.438401i | ||||
\(456\) | 13.9858 | 0.654945 | ||||||||
\(457\) | −4.78572 | − | 17.8605i | −0.223866 | − | 0.835481i | −0.982855 | − | 0.184378i | \(-0.940973\pi\) |
0.758989 | − | 0.651103i | \(-0.225694\pi\) | |||||||
\(458\) | 50.8548 | − | 29.3611i | 2.37629 | − | 1.37195i | ||||
\(459\) | −4.99875 | + | 2.88603i | −0.233322 | + | 0.134708i | ||||
\(460\) | 16.9024 | − | 4.52900i | 0.788080 | − | 0.211165i | ||||
\(461\) | −5.20251 | − | 5.20251i | −0.242305 | − | 0.242305i | 0.575498 | − | 0.817803i | \(-0.304808\pi\) |
−0.817803 | + | 0.575498i | \(0.804808\pi\) | |||||||
\(462\) | 2.85346 | + | 11.3105i | 0.132755 | + | 0.526210i | ||||
\(463\) | −13.9818 | − | 13.9818i | −0.649788 | − | 0.649788i | 0.303154 | − | 0.952942i | \(-0.401960\pi\) |
−0.952942 | + | 0.303154i | \(0.901960\pi\) | |||||||
\(464\) | −30.1213 | + | 52.1716i | −1.39835 | + | 2.42201i | ||||
\(465\) | 6.98396 | + | 12.0966i | 0.323873 | + | 0.560965i | ||||
\(466\) | −21.0427 | + | 78.5325i | −0.974785 | + | 3.63795i | ||||
\(467\) | 4.94463 | − | 8.56435i | 0.228810 | − | 0.396311i | −0.728646 | − | 0.684891i | \(-0.759850\pi\) |
0.957456 | + | 0.288580i | \(0.0931832\pi\) | |||||||
\(468\) | 42.1365 | − | 18.4629i | 1.94776 | − | 0.853448i | ||||
\(469\) | −0.769975 | + | 1.28957i | −0.0355541 | + | 0.0595467i | ||||
\(470\) | −38.6082 | + | 38.6082i | −1.78086 | + | 1.78086i | ||||
\(471\) | −3.99452 | + | 6.91870i | −0.184058 | + | 0.318797i | ||||
\(472\) | 34.3477 | + | 59.4919i | 1.58098 | + | 2.73834i | ||||
\(473\) | −0.910917 | − | 0.244079i | −0.0418840 | − | 0.0112228i | ||||
\(474\) | 28.4528 | − | 7.62390i | 1.30688 | − | 0.350177i | ||||
\(475\) | 2.05490 | − | 2.05490i | 0.0942852 | − | 0.0942852i | ||||
\(476\) | 14.0072 | − | 13.6021i | 0.642017 | − | 0.623450i | ||||
\(477\) | −6.14601 | −0.281407 | ||||||||
\(478\) | 33.5783 | + | 19.3864i | 1.53584 | + | 0.886715i | ||||
\(479\) | 13.1156 | + | 3.51431i | 0.599267 | + | 0.160573i | 0.545685 | − | 0.837990i | \(-0.316270\pi\) |
0.0535818 | + | 0.998563i | \(0.482936\pi\) | |||||||
\(480\) | −29.8241 | + | 17.2189i | −1.36128 | + | 0.785934i | ||||
\(481\) | −5.14359 | − | 6.42909i | −0.234528 | − | 0.293141i | ||||
\(482\) | 57.5929i | 2.62328i | ||||||||
\(483\) | 0.721071 | − | 2.54134i | 0.0328099 | − | 0.115635i | ||||
\(484\) | −33.4745 | −1.52157 | ||||||||
\(485\) | 29.2144 | + | 16.8669i | 1.32656 | + | 0.765888i | ||||
\(486\) | −10.8127 | + | 40.3535i | −0.490473 | + | 1.83047i | ||||
\(487\) | −5.93329 | − | 1.58982i | −0.268863 | − | 0.0720416i | 0.121869 | − | 0.992546i | \(-0.461111\pi\) |
−0.390732 | + | 0.920505i | \(0.627778\pi\) | |||||||
\(488\) | −17.2793 | − | 64.4871i | −0.782195 | − | 2.91919i | ||||
\(489\) | 0.289218 | − | 0.289218i | 0.0130789 | − | 0.0130789i | ||||
\(490\) | 1.39903 | − | 47.6660i | 0.0632015 | − | 2.15333i | ||||
\(491\) | − | 22.4430i | − | 1.01284i | −0.862287 | − | 0.506420i | \(-0.830968\pi\) | ||
0.862287 | − | 0.506420i | \(-0.169032\pi\) | |||||||
\(492\) | −14.7040 | + | 3.93994i | −0.662910 | + | 0.177626i | ||||
\(493\) | 3.20165 | + | 5.54542i | 0.144195 | + | 0.249753i | ||||
\(494\) | −12.0549 | + | 16.3876i | −0.542374 | + | 0.737315i | ||||
\(495\) | 11.4290 | + | 6.59854i | 0.513696 | + | 0.296582i | ||||
\(496\) | −67.8748 | − | 67.8748i | −3.04767 | − | 3.04767i | ||||
\(497\) | 19.5908 | + | 35.1121i | 0.878769 | + | 1.57499i | ||||
\(498\) | 11.0740i | 0.496239i | ||||||||
\(499\) | 9.64734 | + | 36.0044i | 0.431874 | + | 1.61178i | 0.748438 | + | 0.663205i | \(0.230804\pi\) |
−0.316563 | + | 0.948571i | \(0.602529\pi\) | |||||||
\(500\) | 12.4389 | − | 46.4226i | 0.556284 | − | 2.07608i | ||||
\(501\) | 1.23265 | − | 4.60031i | 0.0550708 | − | 0.205527i | ||||
\(502\) | 7.29203 | + | 27.2142i | 0.325459 | + | 1.21463i | ||||
\(503\) | 22.9063i | 1.02134i | 0.859776 | + | 0.510671i | \(0.170603\pi\) | ||||
−0.859776 | + | 0.510671i | \(0.829397\pi\) | |||||||
\(504\) | 0.827745 | − | 56.4161i | 0.0368707 | − | 2.51297i | ||||
\(505\) | −25.6376 | − | 25.6376i | −1.14086 | − | 1.14086i | ||||
\(506\) | −6.61334 | − | 3.81822i | −0.293999 | − | 0.169740i | ||||
\(507\) | 2.16605 | − | 9.62961i | 0.0961976 | − | 0.427666i | ||||
\(508\) | −22.3772 | − | 38.7584i | −0.992827 | − | 1.71963i | ||||
\(509\) | 40.3870 | − | 10.8217i | 1.79012 | − | 0.479661i | 0.797754 | − | 0.602984i | \(-0.206022\pi\) |
0.992367 | + | 0.123322i | \(0.0393549\pi\) | |||||||
\(510\) | 7.25013i | 0.321041i | ||||||||
\(511\) | 16.7033 | − | 27.9750i | 0.738910 | − | 1.23754i | ||||
\(512\) | 3.23738 | − | 3.23738i | 0.143073 | − | 0.143073i | ||||
\(513\) | −2.23109 | − | 8.32653i | −0.0985049 | − | 0.367625i | ||||
\(514\) | 36.5232 | + | 9.78637i | 1.61097 | + | 0.431658i | ||||
\(515\) | 5.89728 | − | 22.0089i | 0.259865 | − | 0.969830i | ||||
\(516\) | −1.51525 | − | 0.874828i | −0.0667050 | − | 0.0385122i | ||||
\(517\) | 17.2677 | 0.759434 | ||||||||
\(518\) | −15.7895 | + | 3.98346i | −0.693751 | + | 0.175023i | ||||
\(519\) | − | 1.97121i | − | 0.0865264i | ||||||
\(520\) | 8.85289 | − | 79.6981i | 0.388225 | − | 3.49499i | ||||
\(521\) | 9.76857 | − | 5.63989i | 0.427969 | − | 0.247088i | −0.270512 | − | 0.962717i | \(-0.587193\pi\) |
0.698481 | + | 0.715629i | \(0.253860\pi\) | |||||||
\(522\) | 28.8232 | + | 7.72316i | 1.26156 | + | 0.338033i | ||||
\(523\) | 27.4072 | + | 15.8235i | 1.19843 | + | 0.691915i | 0.960205 | − | 0.279295i | \(-0.0901008\pi\) |
0.238226 | + | 0.971210i | \(0.423434\pi\) | |||||||
\(524\) | 48.4770 | 2.11773 | ||||||||
\(525\) | 1.94269 | + | 2.00054i | 0.0847858 | + | 0.0873108i | ||||
\(526\) | 4.81969 | − | 4.81969i | 0.210149 | − | 0.210149i | ||||
\(527\) | −9.85525 | + | 2.64071i | −0.429301 | + | 0.115031i | ||||
\(528\) | 20.8367 | + | 5.58318i | 0.906802 | + | 0.242977i | ||||
\(529\) | −10.6353 | − | 18.4209i | −0.462405 | − | 0.800909i | ||||
\(530\) | −8.63794 | + | 14.9614i | −0.375208 | + | 0.649880i | ||||
\(531\) | 13.3787 | − | 13.3787i | 0.580585 | − | 0.580585i | ||||
\(532\) | 14.2076 | + | 25.4638i | 0.615976 | + | 1.10399i | ||||
\(533\) | 4.99647 | − | 12.7899i | 0.216421 | − | 0.553992i | ||||
\(534\) | −0.0530727 | + | 0.0919246i | −0.00229668 | + | 0.00397796i | ||||
\(535\) | −2.81916 | + | 10.5212i | −0.121883 | + | 0.454873i | ||||
\(536\) | 2.49761 | + | 4.32600i | 0.107881 | + | 0.186855i | ||||
\(537\) | −0.613030 | + | 1.06180i | −0.0264542 | + | 0.0458200i | ||||
\(538\) | −15.4266 | − | 15.4266i | −0.665088 | − | 0.665088i | ||||
\(539\) | −10.9723 | + | 10.3466i | −0.472610 | + | 0.445658i | ||||
\(540\) | 38.7448 | + | 38.7448i | 1.66731 | + | 1.66731i | ||||
\(541\) | −30.8404 | + | 8.26367i | −1.32593 | + | 0.355283i | −0.851198 | − | 0.524845i | \(-0.824123\pi\) |
−0.474736 | + | 0.880128i | \(0.657457\pi\) | |||||||
\(542\) | −65.4103 | + | 37.7647i | −2.80961 | + | 1.62213i | ||||
\(543\) | 1.64166 | − | 0.947811i | 0.0704502 | − | 0.0406744i | ||||
\(544\) | −6.51066 | − | 24.2981i | −0.279142 | − | 1.04177i | ||||
\(545\) | 18.6432 | 0.798585 | ||||||||
\(546\) | −15.5537 | − | 11.7970i | −0.665639 | − | 0.504864i | ||||
\(547\) | −10.5664 | −0.451787 | −0.225893 | − | 0.974152i | \(-0.572530\pi\) | ||||
−0.225893 | + | 0.974152i | \(0.572530\pi\) | |||||||
\(548\) | −12.3990 | − | 46.2737i | −0.529659 | − | 1.97672i | ||||
\(549\) | −15.9243 | + | 9.19390i | −0.679633 | + | 0.392386i | ||||
\(550\) | 6.98118 | − | 4.03058i | 0.297678 | − | 0.171865i | ||||
\(551\) | −9.23713 | + | 2.47508i | −0.393515 | + | 0.105442i | ||||
\(552\) | −6.21244 | − | 6.21244i | −0.264419 | − | 0.264419i | ||||
\(553\) | 26.5312 | + | 27.3214i | 1.12822 | + | 1.16182i | ||||
\(554\) | −17.5900 | − | 17.5900i | −0.747328 | − | 0.747328i | ||||
\(555\) | 2.19105 | − | 3.79501i | 0.0930050 | − | 0.161089i | ||||
\(556\) | −1.95919 | − | 3.39341i | −0.0830881 | − | 0.143913i | ||||
\(557\) | 1.25353 | − | 4.67823i | 0.0531136 | − | 0.198223i | −0.934271 | − | 0.356564i | \(-0.883948\pi\) |
0.987384 | + | 0.158342i | \(0.0506147\pi\) | |||||||
\(558\) | −23.7732 | + | 41.1765i | −1.00640 | + | 1.74314i | ||||
\(559\) | 1.44555 | − | 0.633394i | 0.0611401 | − | 0.0267897i | ||||
\(560\) | −75.7167 | − | 45.2090i | −3.19962 | − | 1.91043i | ||||
\(561\) | 1.62133 | − | 1.62133i | 0.0684526 | − | 0.0684526i | ||||
\(562\) | −16.7458 | + | 29.0045i | −0.706378 | + | 1.22348i | ||||
\(563\) | −5.27248 | − | 9.13221i | −0.222209 | − | 0.384877i | 0.733270 | − | 0.679938i | \(-0.237993\pi\) |
−0.955478 | + | 0.295061i | \(0.904660\pi\) | |||||||
\(564\) | 30.9455 | + | 8.29181i | 1.30304 | + | 0.349148i | ||||
\(565\) | 24.7994 | − | 6.64497i | 1.04332 | − | 0.279556i | ||||
\(566\) | 10.3705 | − | 10.3705i | 0.435904 | − | 0.435904i | ||||
\(567\) | −10.6314 | + | 2.68214i | −0.446476 | + | 0.112639i | ||||
\(568\) | 133.724 | 5.61094 | ||||||||
\(569\) | 9.51695 | + | 5.49461i | 0.398971 | + | 0.230346i | 0.686040 | − | 0.727564i | \(-0.259347\pi\) |
−0.287069 | + | 0.957910i | \(0.592681\pi\) | |||||||
\(570\) | −10.4587 | − | 2.80241i | −0.438068 | − | 0.117380i | ||||
\(571\) | −13.0863 | + | 7.55535i | −0.547643 | + | 0.316182i | −0.748171 | − | 0.663506i | \(-0.769068\pi\) |
0.200528 | + | 0.979688i | \(0.435734\pi\) | |||||||
\(572\) | −31.9337 | + | 25.5486i | −1.33522 | + | 1.06824i | ||||
\(573\) | 8.30046i | 0.346757i | ||||||||
\(574\) | −18.9197 | − | 19.4831i | −0.789692 | − | 0.813210i | ||||
\(575\) | −1.82556 | −0.0761310 | ||||||||
\(576\) | −46.1631 | − | 26.6523i | −1.92346 | − | 1.11051i | ||||
\(577\) | 1.22540 | − | 4.57325i | 0.0510140 | − | 0.190387i | −0.935717 | − | 0.352753i | \(-0.885246\pi\) |
0.986731 | + | 0.162366i | \(0.0519124\pi\) | |||||||
\(578\) | 39.1435 | + | 10.4885i | 1.62816 | + | 0.436263i | ||||
\(579\) | −1.22455 | − | 4.57007i | −0.0508905 | − | 0.189926i | ||||
\(580\) | 42.9819 | − | 42.9819i | 1.78473 | − | 1.78473i | ||||
\(581\) | −12.5029 | + | 6.97601i | −0.518707 | + | 0.289414i | ||||
\(582\) | − | 27.3129i | − | 1.13216i | ||||||
\(583\) | 5.27745 | − | 1.41409i | 0.218570 | − | 0.0585656i | ||||
\(584\) | −54.1815 | − | 93.8451i | −2.24205 | − | 3.88334i | ||||
\(585\) | −21.8338 | + | 3.32605i | −0.902718 | + | 0.137515i | ||||
\(586\) | −27.7052 | − | 15.9956i | −1.14449 | − | 0.660772i | ||||
\(587\) | −7.44792 | − | 7.44792i | −0.307409 | − | 0.307409i | 0.536495 | − | 0.843904i | \(-0.319748\pi\) |
−0.843904 | + | 0.536495i | \(0.819748\pi\) | |||||||
\(588\) | −24.6317 | + | 13.2733i | −1.01580 | + | 0.547380i | ||||
\(589\) | − | 15.2375i | − | 0.627850i | ||||||
\(590\) | −13.7648 | − | 51.3711i | −0.566689 | − | 2.11491i | ||||
\(591\) | −3.19387 | + | 11.9197i | −0.131378 | + | 0.490310i | ||||
\(592\) | −7.79418 | + | 29.0883i | −0.320339 | + | 1.19552i | ||||
\(593\) | −5.83377 | − | 21.7719i | −0.239564 | − | 0.894066i | −0.976038 | − | 0.217600i | \(-0.930177\pi\) |
0.736474 | − | 0.676466i | \(-0.236490\pi\) | |||||||
\(594\) | − | 23.9118i | − | 0.981115i | ||||||
\(595\) | −8.18559 | + | 4.56717i | −0.335577 | + | 0.187236i | ||||
\(596\) | 55.7089 | + | 55.7089i | 2.28192 | + | 2.28192i | ||||
\(597\) | 11.8698 | + | 6.85305i | 0.485800 | + | 0.280477i | ||||
\(598\) | 12.6340 | − | 1.92460i | 0.516645 | − | 0.0787029i | ||||
\(599\) | −23.0340 | − | 39.8961i | −0.941146 | − | 1.63011i | −0.763291 | − | 0.646055i | \(-0.776418\pi\) |
−0.177855 | − | 0.984057i | \(-0.556916\pi\) | |||||||
\(600\) | 8.95836 | − | 2.40039i | 0.365723 | − | 0.0979953i | ||||
\(601\) | 1.03260i | 0.0421204i | 0.999778 | + | 0.0210602i | \(0.00670417\pi\) | ||||
−0.999778 | + | 0.0210602i | \(0.993296\pi\) | |||||||
\(602\) | 0.0457932 | − | 3.12110i | 0.00186639 | − | 0.127207i | ||||
\(603\) | 0.972840 | − | 0.972840i | 0.0396171 | − | 0.0396171i | ||||
\(604\) | 17.2370 | + | 64.3295i | 0.701365 | + | 2.61753i | ||||
\(605\) | 15.5230 | + | 4.15937i | 0.631098 | + | 0.169102i | ||||
\(606\) | −7.59787 | + | 28.3556i | −0.308642 | + | 1.15187i | ||||
\(607\) | 23.6563 | + | 13.6580i | 0.960180 | + | 0.554360i | 0.896229 | − | 0.443593i | \(-0.146296\pi\) |
0.0639518 | + | 0.997953i | \(0.479630\pi\) | |||||||
\(608\) | 37.5680 | 1.52358 | ||||||||
\(609\) | −2.24473 | − | 8.89760i | −0.0909611 | − | 0.360549i | ||||
\(610\) | 51.6864i | 2.09272i | ||||||||
\(611\) | −22.5651 | + | 18.0532i | −0.912885 | + | 0.730353i | ||||
\(612\) | −15.4888 | + | 8.94248i | −0.626099 | + | 0.361478i | ||||
\(613\) | 26.8783 | + | 7.20201i | 1.08560 | + | 0.290887i | 0.756889 | − | 0.653543i | \(-0.226718\pi\) |
0.328714 | + | 0.944430i | \(0.393385\pi\) | |||||||
\(614\) | −4.78994 | − | 2.76547i | −0.193306 | − | 0.111605i | ||||
\(615\) | 7.30819 | 0.294695 | ||||||||
\(616\) | 12.2696 | + | 48.6338i | 0.494356 | + | 1.95951i | ||||
\(617\) | 11.4818 | − | 11.4818i | 0.462241 | − | 0.462241i | −0.437148 | − | 0.899390i | \(-0.644011\pi\) |
0.899390 | + | 0.437148i | \(0.144011\pi\) | |||||||
\(618\) | −17.8198 | + | 4.77479i | −0.716816 | + | 0.192070i | ||||
\(619\) | 36.3384 | + | 9.73685i | 1.46056 | + | 0.391357i | 0.899685 | − | 0.436540i | \(-0.143796\pi\) |
0.560880 | + | 0.827897i | \(0.310463\pi\) | |||||||
\(620\) | 48.4274 | + | 83.8787i | 1.94489 | + | 3.36865i | ||||
\(621\) | −2.70757 | + | 4.68966i | −0.108651 | + | 0.188189i | ||||
\(622\) | 6.28613 | − | 6.28613i | 0.252051 | − | 0.252051i | ||||
\(623\) | −0.137218 | − | 0.00201328i | −0.00549753 | − | 8.06605e-5i | ||||
\(624\) | −33.0661 | + | 14.4885i | −1.32370 | + | 0.580005i | ||||
\(625\) | −15.0069 | + | 25.9928i | −0.600278 | + | 1.03971i | ||||
\(626\) | 16.7059 | − | 62.3474i | 0.667703 | − | 2.49190i | ||||
\(627\) | 1.71216 | + | 2.96556i | 0.0683772 | + | 0.118433i | ||||
\(628\) | −27.6983 | + | 47.9749i | −1.10528 | + | 1.91441i | ||||
\(629\) | 2.26339 | + | 2.26339i | 0.0902474 | + | 0.0902474i | ||||
\(630\) | −11.9234 | + | 42.0227i | −0.475039 | + | 1.67422i | ||||
\(631\) | 1.20311 | + | 1.20311i | 0.0478949 | + | 0.0478949i | 0.730649 | − | 0.682754i | \(-0.239218\pi\) |
−0.682754 | + | 0.730649i | \(0.739218\pi\) | |||||||
\(632\) | 122.344 | − | 32.7820i | 4.86659 | − | 1.30400i | ||||
\(633\) | −1.83143 | + | 1.05738i | −0.0727930 | + | 0.0420271i | ||||
\(634\) | 70.7329 | − | 40.8377i | 2.80916 | − | 1.62187i | ||||
\(635\) | 5.56094 | + | 20.7537i | 0.220679 | + | 0.823586i | ||||
\(636\) | 10.1367 | 0.401948 | ||||||||
\(637\) | 3.52113 | − | 24.9920i | 0.139512 | − | 0.990220i | ||||
\(638\) | −26.5269 | −1.05021 | ||||||||
\(639\) | −9.53251 | − | 35.5758i | −0.377100 | − | 1.40736i | ||||
\(640\) | −51.1981 | + | 29.5593i | −2.02378 | + | 1.16843i | ||||
\(641\) | −1.30393 | + | 0.752823i | −0.0515020 | + | 0.0297347i | −0.525530 | − | 0.850775i | \(-0.676133\pi\) |
0.474028 | + | 0.880510i | \(0.342800\pi\) | |||||||
\(642\) | 8.51862 | − | 2.28256i | 0.336203 | − | 0.0900854i | ||||
\(643\) | −27.5811 | − | 27.5811i | −1.08769 | − | 1.08769i | −0.995766 | − | 0.0919256i | \(-0.970698\pi\) |
−0.0919256 | − | 0.995766i | \(-0.529302\pi\) | |||||||
\(644\) | 4.99997 | − | 17.6219i | 0.197026 | − | 0.694399i | ||||
\(645\) | 0.593956 | + | 0.593956i | 0.0233870 | + | 0.0233870i | ||||
\(646\) | 3.95455 | − | 6.84948i | 0.155590 | − | 0.269489i | ||||
\(647\) | 3.94074 | + | 6.82555i | 0.154926 | + | 0.268340i | 0.933032 | − | 0.359793i | \(-0.117153\pi\) |
−0.778106 | + | 0.628133i | \(0.783819\pi\) | |||||||
\(648\) | −9.43813 | + | 35.2236i | −0.370765 | + | 1.38371i | ||||
\(649\) | −8.40979 | + | 14.5662i | −0.330113 | + | 0.571773i | ||||
\(650\) | −4.90891 | + | 12.5658i | −0.192543 | + | 0.492871i | ||||
\(651\) | 14.6199 | + | 0.214505i | 0.573000 | + | 0.00840713i | ||||
\(652\) | 2.00546 | − | 2.00546i | 0.0785401 | − | 0.0785401i | ||||
\(653\) | −3.18315 | + | 5.51337i | −0.124566 | + | 0.215755i | −0.921563 | − | 0.388228i | \(-0.873087\pi\) |
0.796997 | + | 0.603983i | \(0.206421\pi\) | |||||||
\(654\) | −7.54731 | − | 13.0723i | −0.295123 | − | 0.511168i | ||||
\(655\) | −22.4800 | − | 6.02350i | −0.878367 | − | 0.235358i | ||||
\(656\) | −48.5116 | + | 12.9986i | −1.89406 | + | 0.507511i | ||||
\(657\) | −21.1041 | + | 21.1041i | −0.823350 | + | 0.823350i | ||||
\(658\) | 13.9813 | + | 55.4186i | 0.545048 | + | 2.16044i | ||||
\(659\) | −25.8902 | −1.00854 | −0.504270 | − | 0.863546i | \(-0.668238\pi\) | ||||
−0.504270 | + | 0.863546i | \(0.668238\pi\) | |||||||
\(660\) | −18.8501 | − | 10.8831i | −0.733739 | − | 0.423625i | ||||
\(661\) | −37.1246 | − | 9.94751i | −1.44398 | − | 0.386913i | −0.550054 | − | 0.835129i | \(-0.685393\pi\) |
−0.893925 | + | 0.448216i | \(0.852060\pi\) | |||||||
\(662\) | 22.3277 | − | 12.8909i | 0.867790 | − | 0.501019i | ||||
\(663\) | −0.423637 | + | 3.81379i | −0.0164527 | + | 0.148115i | ||||
\(664\) | 47.6172i | 1.84791i | ||||||||
\(665\) | −3.42440 | − | 13.5735i | −0.132793 | − | 0.526360i | ||||
\(666\) | 14.9166 | 0.578006 | ||||||||
\(667\) | 5.20252 | + | 3.00368i | 0.201442 | + | 0.116303i | ||||
\(668\) | 8.54731 | − | 31.8990i | 0.330705 | − | 1.23421i | ||||
\(669\) | −12.5834 | − | 3.37171i | −0.486502 | − | 0.130358i | ||||
\(670\) | −1.00092 | − | 3.73548i | −0.0386689 | − | 0.144314i | ||||
\(671\) | 11.5585 | − | 11.5585i | 0.446212 | − | 0.446212i | ||||
\(672\) | −0.528863 | + | 36.0454i | −0.0204013 | + | 1.39048i | ||||
\(673\) | 5.66768i | 0.218473i | 0.994016 | + | 0.109236i | \(0.0348406\pi\) | ||||
−0.994016 | + | 0.109236i | \(0.965159\pi\) | |||||||
\(674\) | −62.6730 | + | 16.7932i | −2.41407 | + | 0.646849i | ||||
\(675\) | −2.85817 | − | 4.95049i | −0.110011 | − | 0.190545i | ||||
\(676\) | 15.0196 | − | 66.7725i | 0.577675 | − | 2.56817i | ||||
\(677\) | 2.32654 | + | 1.34323i | 0.0894161 | + | 0.0516244i | 0.544041 | − | 0.839058i | \(-0.316893\pi\) |
−0.454625 | + | 0.890683i | \(0.650227\pi\) | |||||||
\(678\) | −14.6989 | − | 14.6989i | −0.564507 | − | 0.564507i | ||||
\(679\) | 30.8371 | − | 17.2056i | 1.18342 | − | 0.660290i | ||||
\(680\) | 31.1748i | 1.19550i | ||||||||
\(681\) | −3.37005 | − | 12.5772i | −0.129140 | − | 0.481959i | ||||
\(682\) | 10.9396 | − | 40.8272i | 0.418899 | − | 1.56335i | ||||
\(683\) | 3.37609 | − | 12.5998i | 0.129183 | − | 0.482116i | −0.870772 | − | 0.491688i | \(-0.836380\pi\) |
0.999954 | + | 0.00957166i | \(0.00304680\pi\) | |||||||
\(684\) | −6.91311 | − | 25.8001i | −0.264329 | − | 0.986491i | ||||
\(685\) | 22.9989i | 0.878743i | ||||||||
\(686\) | −42.0901 | − | 26.8368i | −1.60701 | − | 1.02463i | ||||
\(687\) | 11.6967 | + | 11.6967i | 0.446255 | + | 0.446255i | ||||
\(688\) | −4.99910 | − | 2.88623i | −0.190589 | − | 0.110037i | ||||
\(689\) | −5.41804 | + | 7.36540i | −0.206411 | + | 0.280599i | ||||
\(690\) | 3.40091 | + | 5.89055i | 0.129470 | + | 0.224249i | ||||
\(691\) | 2.50901 | − | 0.672287i | 0.0954472 | − | 0.0255750i | −0.210779 | − | 0.977534i | \(-0.567600\pi\) |
0.306227 | + | 0.951959i | \(0.400933\pi\) | |||||||
\(692\) | − | 13.6685i | − | 0.519599i | ||||||
\(693\) | 12.0638 | − | 6.73103i | 0.458267 | − | 0.255691i | ||||
\(694\) | −7.58493 | + | 7.58493i | −0.287920 | + | 0.287920i | ||||
\(695\) | 0.486877 | + | 1.81705i | 0.0184683 | + | 0.0689246i | ||||
\(696\) | −29.4792 | − | 7.89894i | −1.11741 | − | 0.299409i | ||||
\(697\) | −1.38165 | + | 5.15639i | −0.0523338 | + | 0.195312i | ||||
\(698\) | −16.7032 | − | 9.64360i | −0.632226 | − | 0.365016i | ||||
\(699\) | −22.9024 | −0.866247 | ||||||||
\(700\) | 13.4708 | + | 13.8719i | 0.509147 | + | 0.524310i | ||||
\(701\) | 42.5214i | 1.60601i | 0.595972 | + | 0.803005i | \(0.296767\pi\) | ||||
−0.595972 | + | 0.803005i | \(0.703233\pi\) | |||||||
\(702\) | 24.9995 | + | 31.2474i | 0.943545 | + | 1.17936i | ||||
\(703\) | −4.13995 | + | 2.39020i | −0.156141 | + | 0.0901481i | ||||
\(704\) | 45.7715 | + | 12.2644i | 1.72508 | + | 0.462234i | ||||
\(705\) | −13.3199 | − | 7.69024i | −0.501656 | − | 0.289631i | ||||
\(706\) | −26.3896 | −0.993184 | ||||||||
\(707\) | −36.8005 | + | 9.28422i | −1.38403 | + | 0.349169i | ||||
\(708\) | −22.0657 | + | 22.0657i | −0.829281 | + | 0.829281i | ||||
\(709\) | 46.1184 | − | 12.3574i | 1.73201 | − | 0.464091i | 0.751367 | − | 0.659884i | \(-0.229395\pi\) |
0.980645 | + | 0.195793i | \(0.0627280\pi\) | |||||||
\(710\) | −100.000 | − | 26.7950i | −3.75295 | − | 1.00560i | ||||
\(711\) | −17.4426 | − | 30.2114i | −0.654147 | − | 1.13302i | ||||
\(712\) | −0.228207 | + | 0.395266i | −0.00855242 | + | 0.0148132i | ||||
\(713\) | −6.76843 | + | 6.76843i | −0.253480 | + | 0.253480i | ||||
\(714\) | 6.51621 | + | 3.89070i | 0.243863 | + | 0.145606i | ||||
\(715\) | 17.9830 | − | 7.87960i | 0.672526 | − | 0.294680i | ||||
\(716\) | −4.25081 | + | 7.36261i | −0.158860 | + | 0.275154i | ||||
\(717\) | −2.82683 | + | 10.5499i | −0.105570 | + | 0.393992i | ||||
\(718\) | −50.1490 | − | 86.8606i | −1.87154 | − | 3.24161i | ||||
\(719\) | −9.27940 | + | 16.0724i | −0.346063 | + | 0.599399i | −0.985546 | − | 0.169406i | \(-0.945815\pi\) |
0.639483 | + | 0.768805i | \(0.279148\pi\) | |||||||
\(720\) | 57.1201 | + | 57.1201i | 2.12874 | + | 2.12874i | ||||
\(721\) | −16.6163 | − | 17.1111i | −0.618823 | − | 0.637252i | ||||
\(722\) | −27.8593 | − | 27.8593i | −1.03682 | − | 1.03682i | ||||
\(723\) | −15.6707 | + | 4.19894i | −0.582799 | + | 0.156160i | ||||
\(724\) | 11.3834 | − | 6.57220i | 0.423060 | − | 0.244254i | ||||
\(725\) | −5.49189 | + | 3.17074i | −0.203964 | + | 0.117758i | ||||
\(726\) | −3.36767 | − | 12.5683i | −0.124986 | − | 0.466454i | ||||
\(727\) | 32.8685 | 1.21903 | 0.609513 | − | 0.792776i | \(-0.291365\pi\) | ||||
0.609513 | + | 0.792776i | \(0.291365\pi\) | |||||||
\(728\) | −66.8795 | − | 50.7258i | −2.47872 | − | 1.88002i | ||||
\(729\) | 0.664320 | 0.0246045 | ||||||||
\(730\) | 21.7133 | + | 81.0350i | 0.803644 | + | 2.99924i | ||||
\(731\) | −0.531364 | + | 0.306783i | −0.0196532 | + | 0.0113468i | ||||
\(732\) | 26.2643 | − | 15.1637i | 0.970756 | − | 0.560466i | ||||
\(733\) | 36.2185 | − | 9.70471i | 1.33776 | − | 0.358452i | 0.482157 | − | 0.876085i | \(-0.339853\pi\) |
0.855603 | + | 0.517633i | \(0.173187\pi\) | |||||||
\(734\) | 54.3210 | + | 54.3210i | 2.00503 | + | 2.00503i | ||||
\(735\) | 13.0716 | − | 3.09453i | 0.482154 | − | 0.114144i | ||||
\(736\) | −16.6876 | − | 16.6876i | −0.615112 | − | 0.615112i | ||||
\(737\) | −0.611524 | + | 1.05919i | −0.0225258 | + | 0.0390158i | ||||
\(738\) | 12.4385 | + | 21.5440i | 0.457866 | + | 0.793047i | ||||
\(739\) | −1.37878 | + | 5.14567i | −0.0507191 | + | 0.189286i | −0.986638 | − | 0.162930i | \(-0.947905\pi\) |
0.935918 | + | 0.352217i | \(0.114572\pi\) | |||||||
\(740\) | 15.1929 | − | 26.3149i | 0.558504 | − | 0.967357i | ||||
\(741\) | −5.33786 | − | 2.08527i | −0.196091 | − | 0.0766044i | ||||
\(742\) | 8.81138 | + | 15.7924i | 0.323476 | + | 0.579756i | ||||
\(743\) | −12.3984 | + | 12.3984i | −0.454854 | + | 0.454854i | −0.896962 | − | 0.442108i | \(-0.854231\pi\) |
0.442108 | + | 0.896962i | \(0.354231\pi\) | |||||||
\(744\) | 24.3143 | − | 42.1137i | 0.891407 | − | 1.54396i | ||||
\(745\) | −18.9115 | − | 32.7557i | −0.692864 | − | 1.20007i | ||||
\(746\) | 12.2891 | + | 3.29286i | 0.449936 | + | 0.120560i | ||||
\(747\) | 12.6680 | − | 3.39438i | 0.463498 | − | 0.124194i | ||||
\(748\) | 11.2424 | − | 11.2424i | 0.411064 | − | 0.411064i | ||||
\(749\) | 7.94332 | + | 8.17988i | 0.290243 | + | 0.298886i | ||||
\(750\) | 18.6812 | 0.682141 | ||||||||
\(751\) | −27.4170 | − | 15.8292i | −1.00046 | − | 0.577615i | −0.0920748 | − | 0.995752i | \(-0.529350\pi\) |
−0.908384 | + | 0.418137i | \(0.862683\pi\) | |||||||
\(752\) | 102.095 | + | 27.3563i | 3.72303 | + | 0.997582i | ||||
\(753\) | −6.87318 | + | 3.96823i | −0.250472 | + | 0.144610i | ||||
\(754\) | 34.6647 | − | 27.7335i | 1.26241 | − | 1.00999i | ||||
\(755\) | − | 31.9730i | − | 1.16361i | ||||||
\(756\) | 55.6146 | − | 14.0307i | 2.02268 | − | 0.510293i | ||||
\(757\) | −20.0484 | −0.728670 | −0.364335 | − | 0.931268i | \(-0.618704\pi\) | ||||
−0.364335 | + | 0.931268i | \(0.618704\pi\) | |||||||
\(758\) | 15.8216 | + | 9.13460i | 0.574666 | + | 0.331784i | ||||
\(759\) | 0.556752 | − | 2.07783i | 0.0202088 | − | 0.0754203i | ||||
\(760\) | −44.9715 | − | 12.0501i | −1.63129 | − | 0.437102i | ||||
\(761\) | 11.8816 | + | 44.3428i | 0.430708 | + | 1.60743i | 0.751133 | + | 0.660151i | \(0.229508\pi\) |
−0.320424 | + | 0.947274i | \(0.603825\pi\) | |||||||
\(762\) | 12.3010 | − | 12.3010i | 0.445617 | − | 0.445617i | ||||
\(763\) | 10.0046 | − | 16.7559i | 0.362192 | − | 0.606606i | ||||
\(764\) | 57.5561i | 2.08231i | ||||||||
\(765\) | 8.29370 | − | 2.22229i | 0.299859 | − | 0.0803471i | ||||
\(766\) | 7.16275 | + | 12.4063i | 0.258801 | + | 0.448256i | ||||
\(767\) | −4.23903 | − | 27.8271i | −0.153062 | − | 1.00478i | ||||
\(768\) | 12.5291 | + | 7.23368i | 0.452105 | + | 0.261023i | ||||
\(769\) | −4.10750 | − | 4.10750i | −0.148120 | − | 0.148120i | 0.629158 | − | 0.777278i | \(-0.283400\pi\) |
−0.777278 | + | 0.629158i | \(0.783400\pi\) | |||||||
\(770\) | 0.569681 | − | 38.8274i | 0.0205299 | − | 1.39924i | ||||
\(771\) | 10.6512i | 0.383595i | ||||||||
\(772\) | −8.49112 | − | 31.6893i | −0.305602 | − | 1.14052i | ||||
\(773\) | −10.8746 | + | 40.5845i | −0.391132 | + | 1.45972i | 0.437138 | + | 0.899394i | \(0.355992\pi\) |
−0.828270 | + | 0.560329i | \(0.810675\pi\) | |||||||
\(774\) | −0.740035 | + | 2.76185i | −0.0266000 | + | 0.0992726i | ||||
\(775\) | −2.61521 | − | 9.76010i | −0.0939412 | − | 0.350593i | ||||
\(776\) | − | 117.443i | − | 4.21595i | ||||||
\(777\) | −2.23505 | − | 4.00580i | −0.0801818 | − | 0.143707i | ||||
\(778\) | −66.4622 | − | 66.4622i | −2.38279 | − | 2.38279i | ||||
\(779\) | −6.90434 | − | 3.98622i | −0.247374 | − | 0.142821i | ||||
\(780\) | 36.0110 | − | 5.48573i | 1.28940 | − | 0.196421i | ||||
\(781\) | 16.3707 | + | 28.3549i | 0.585791 | + | 1.01462i | ||||
\(782\) | −4.79911 | + | 1.28592i | −0.171616 | + | 0.0459843i | ||||
\(783\) | 18.8107i | 0.672241i | ||||||||
\(784\) | −81.2650 | + | 43.7911i | −2.90232 | + | 1.56397i | ||||
\(785\) | 18.8055 | − | 18.8055i | 0.671197 | − | 0.671197i | ||||
\(786\) | 4.87699 | + | 18.2012i | 0.173956 | + | 0.649214i | ||||
\(787\) | −13.7338 | − | 3.67997i | −0.489558 | − | 0.131177i | 0.00559167 | − | 0.999984i | \(-0.498220\pi\) |
−0.495150 | + | 0.868808i | \(0.664887\pi\) | |||||||
\(788\) | −22.1465 | + | 82.6520i | −0.788938 | + | 2.94436i | ||||
\(789\) | 1.66280 | + | 0.960018i | 0.0591972 | + | 0.0341775i | ||||
\(790\) | −98.0589 | −3.48878 | ||||||||
\(791\) | 7.33599 | − | 25.8549i | 0.260838 | − | 0.919295i | ||||
\(792\) | − | 45.9451i | − | 1.63259i | ||||||
\(793\) | −3.02013 | + | 27.1887i | −0.107248 | + | 0.965497i | ||||
\(794\) | 85.0441 | − | 49.1002i | 3.01810 | − | 1.74250i | ||||
\(795\) | −4.70066 | − | 1.25954i | −0.166715 | − | 0.0446712i | ||||
\(796\) | 82.3064 | + | 47.5196i | 2.91727 | + | 1.68429i | ||||
\(797\) | −31.4048 | −1.11241 | −0.556207 | − | 0.831044i | \(-0.687744\pi\) | ||||
−0.556207 | + | 0.831044i | \(0.687744\pi\) | |||||||
\(798\) | −8.13128 | + | 7.89612i | −0.287844 | + | 0.279520i | ||||
\(799\) | 7.94414 | − | 7.94414i | 0.281044 | − | 0.281044i | ||||
\(800\) | 24.0635 | − | 6.44780i | 0.850774 | − | 0.227964i | ||||
\(801\) | 0.121424 | + | 0.0325354i | 0.00429030 | + | 0.00114958i | ||||
\(802\) | 19.8206 | + | 34.3303i | 0.699889 | + | 1.21224i | ||||
\(803\) | 13.2660 | − | 22.9773i | 0.468146 | − | 0.810853i | ||||
\(804\) | −1.60452 | + | 1.60452i | −0.0565872 | + | 0.0565872i | ||||
\(805\) | −4.50821 | + | 7.55043i | −0.158894 | + | 0.266118i | ||||
\(806\) | 28.3886 | + | 64.7892i | 0.999947 | + | 2.28210i | ||||
\(807\) | 3.07277 | − | 5.32219i | 0.108167 | − | 0.187350i | ||||
\(808\) | −32.6701 | + | 121.926i | −1.14933 | + | 4.28935i | ||||
\(809\) | 14.9036 | + | 25.8137i | 0.523981 | + | 0.907562i | 0.999610 | + | 0.0279158i | \(0.00888703\pi\) |
−0.475629 | + | 0.879646i | \(0.657780\pi\) | |||||||
\(810\) | 14.1159 | − | 24.4494i | 0.495981 | − | 0.859064i | ||||
\(811\) | 7.04429 | + | 7.04429i | 0.247359 | + | 0.247359i | 0.819886 | − | 0.572527i | \(-0.194037\pi\) |
−0.572527 | + | 0.819886i | \(0.694037\pi\) | |||||||
\(812\) | −15.5652 | − | 61.6967i | −0.546230 | − | 2.16513i | ||||
\(813\) | −15.0444 | − | 15.0444i | −0.527631 | − | 0.527631i | ||||
\(814\) | −12.8086 | + | 3.43204i | −0.448940 | + | 0.120293i | ||||
\(815\) | −1.17917 | + | 0.680796i | −0.0413046 | + | 0.0238472i | ||||
\(816\) | 12.1547 | − | 7.01750i | 0.425498 | − | 0.245662i | ||||
\(817\) | −0.237163 | − | 0.885105i | −0.00829729 | − | 0.0309659i | ||||
\(818\) | 5.92416 | 0.207133 | ||||||||
\(819\) | −8.72752 | + | 21.4085i | −0.304964 | + | 0.748074i | ||||
\(820\) | 50.6756 | 1.76967 | ||||||||
\(821\) | 6.25043 | + | 23.3269i | 0.218142 | + | 0.814116i | 0.985037 | + | 0.172343i | \(0.0551339\pi\) |
−0.766895 | + | 0.641772i | \(0.778199\pi\) | |||||||
\(822\) | 16.1265 | − | 9.31065i | 0.562477 | − | 0.324746i | ||||
\(823\) | −11.7031 | + | 6.75677i | −0.407943 | + | 0.235526i | −0.689906 | − | 0.723899i | \(-0.742348\pi\) |
0.281962 | + | 0.959425i | \(0.409015\pi\) | |||||||
\(824\) | −76.6231 | + | 20.5311i | −2.66929 | + | 0.715235i | ||||
\(825\) | 1.60568 | + | 1.60568i | 0.0559024 | + | 0.0559024i | ||||
\(826\) | −53.5576 | − | 15.1963i | −1.86351 | − | 0.528746i | ||||
\(827\) | 29.8965 | + | 29.8965i | 1.03960 | + | 1.03960i | 0.999183 | + | 0.0404191i | \(0.0128693\pi\) |
0.0404191 | + | 0.999183i | \(0.487131\pi\) | |||||||
\(828\) | −8.38952 | + | 14.5311i | −0.291556 | + | 0.504990i | ||||
\(829\) | 27.4075 | + | 47.4712i | 0.951903 | + | 1.64874i | 0.741302 | + | 0.671172i | \(0.234209\pi\) |
0.210601 | + | 0.977572i | \(0.432458\pi\) | |||||||
\(830\) | 9.54131 | − | 35.6086i | 0.331184 | − | 1.23599i | ||||
\(831\) | 3.50369 | − | 6.06858i | 0.121542 | − | 0.210517i | ||||
\(832\) | −72.6355 | + | 31.8266i | −2.51818 | + | 1.10339i | ||||
\(833\) | −0.287868 | + | 9.80789i | −0.00997402 | + | 0.339823i | ||||
\(834\) | 1.07699 | − | 1.07699i | 0.0372930 | − | 0.0372930i | ||||
\(835\) | −7.92720 | + | 13.7303i | −0.274332 | + | 0.475157i | ||||
\(836\) | 11.8723 | + | 20.5634i | 0.410612 | + | 0.711201i | ||||
\(837\) | −28.9514 | − | 7.75750i | −1.00071 | − | 0.268138i | ||||
\(838\) | 82.0428 | − | 21.9833i | 2.83412 | − | 0.759401i | ||||
\(839\) | 1.27402 | − | 1.27402i | 0.0439842 | − | 0.0439842i | −0.684773 | − | 0.728757i | \(-0.740098\pi\) |
0.728757 | + | 0.684773i | \(0.240098\pi\) | |||||||
\(840\) | 12.1948 | − | 42.9791i | 0.420759 | − | 1.48292i | ||||
\(841\) | −8.13210 | −0.280417 | ||||||||
\(842\) | −33.2173 | − | 19.1780i | −1.14474 | − | 0.660919i | ||||
\(843\) | −9.11284 | − | 2.44178i | −0.313863 | − | 0.0840993i | ||||
\(844\) | −12.6993 | + | 7.33196i | −0.437129 | + | 0.252376i | ||||
\(845\) | −15.2617 | + | 29.0978i | −0.525020 | + | 1.00100i | ||||
\(846\) | − | 52.3548i | − | 1.80000i | ||||||
\(847\) | 12.0685 | − | 11.7195i | 0.414680 | − | 0.402687i | ||||
\(848\) | 33.4431 | 1.14844 | ||||||||
\(849\) | 3.57783 | + | 2.06566i | 0.122791 | + | 0.0708933i | ||||
\(850\) | 1.35744 | − | 5.06604i | 0.0465598 | − | 0.173764i | ||||
\(851\) | 2.90067 | + | 0.777231i | 0.0994336 | + | 0.0266431i | ||||
\(852\) | 15.7222 | + | 58.6759i | 0.538632 | + | 2.01020i | ||||
\(853\) | −2.51606 | + | 2.51606i | −0.0861481 | + | 0.0861481i | −0.748868 | − | 0.662720i | \(-0.769402\pi\) |
0.662720 | + | 0.748868i | \(0.269402\pi\) | |||||||
\(854\) | 46.4543 | + | 27.7369i | 1.58963 | + | 0.949138i | ||||
\(855\) | 12.8231i | 0.438542i | ||||||||
\(856\) | 36.6292 | − | 9.81477i | 1.25196 | − | 0.335462i | ||||
\(857\) | −10.5909 | − | 18.3440i | −0.361778 | − | 0.626618i | 0.626476 | − | 0.779441i | \(-0.284497\pi\) |
−0.988254 | + | 0.152823i | \(0.951163\pi\) | |||||||
\(858\) | −12.8051 | − | 9.41953i | −0.437160 | − | 0.321578i | ||||
\(859\) | −7.46703 | − | 4.31109i | −0.254772 | − | 0.147093i | 0.367175 | − | 0.930152i | \(-0.380325\pi\) |
−0.621947 | + | 0.783059i | \(0.713658\pi\) | |||||||
\(860\) | 4.11854 | + | 4.11854i | 0.140441 | + | 0.140441i | ||||
\(861\) | 3.92186 | − | 6.56839i | 0.133657 | − | 0.223850i | ||||
\(862\) | − | 35.8791i | − | 1.22205i | ||||||
\(863\) | 9.40233 | + | 35.0900i | 0.320059 | + | 1.19448i | 0.919186 | + | 0.393823i | \(0.128848\pi\) |
−0.599127 | + | 0.800654i | \(0.704486\pi\) | |||||||
\(864\) | 19.1261 | − | 71.3796i | 0.650683 | − | 2.42838i | ||||
\(865\) | −1.69838 | + | 6.33844i | −0.0577466 | + | 0.215513i | ||||
\(866\) | −20.3123 | − | 75.8064i | −0.690239 | − | 2.57601i | ||||
\(867\) | 11.4154i | 0.387687i | ||||||||
\(868\) | 101.376 | + | 1.48740i | 3.44092 | + | 0.0504856i | ||||
\(869\) | 21.9287 | + | 21.9287i | 0.743879 | + | 0.743879i | ||||
\(870\) | 20.4621 | + | 11.8138i | 0.693731 | + | 0.400526i | ||||
\(871\) | −0.308244 | − | 2.02346i | −0.0104444 | − | 0.0685625i | ||||
\(872\) | −32.4527 | − | 56.2097i | −1.09899 | − | 1.90350i | ||||
\(873\) | −31.2443 | + | 8.37190i | −1.05746 | + | 0.283346i | ||||
\(874\) | − | 7.42004i | − | 0.250987i | ||||||
\(875\) | 11.7681 | + | 21.0916i | 0.397834 | + | 0.713026i | ||||
\(876\) | 34.8074 | − | 34.8074i | 1.17603 | − | 1.17603i | ||||
\(877\) | −9.14311 | − | 34.1226i | −0.308741 | − | 1.15224i | −0.929677 | − | 0.368376i | \(-0.879914\pi\) |
0.620936 | − | 0.783861i | \(-0.286753\pi\) | |||||||
\(878\) | −26.8505 | − | 7.19458i | −0.906161 | − | 0.242805i | ||||
\(879\) | 2.33239 | − | 8.70461i | 0.0786696 | − | 0.293599i | ||||
\(880\) | −62.1902 | − | 35.9055i | −2.09643 | − | 1.21038i | ||||
\(881\) | 48.8409 | 1.64549 | 0.822747 | − | 0.568408i | \(-0.192441\pi\) | ||||
0.822747 | + | 0.568408i | \(0.192441\pi\) | |||||||
\(882\) | 31.3702 | + | 33.2674i | 1.05629 | + | 1.12017i | ||||
\(883\) | − | 56.2857i | − | 1.89417i | −0.320989 | − | 0.947083i | \(-0.604015\pi\) | ||
0.320989 | − | 0.947083i | \(-0.395985\pi\) | |||||||
\(884\) | −2.93754 | + | 26.4451i | −0.0988000 | + | 0.889446i | ||||
\(885\) | 12.9742 | − | 7.49065i | 0.436123 | − | 0.251796i | ||||
\(886\) | −1.60105 | − | 0.428999i | −0.0537882 | − | 0.0144125i | ||||
\(887\) | −24.3132 | − | 14.0372i | −0.816357 | − | 0.471324i | 0.0328019 | − | 0.999462i | \(-0.489557\pi\) |
−0.849158 | + | 0.528138i | \(0.822890\pi\) | |||||||
\(888\) | −15.2561 | −0.511961 | ||||||||
\(889\) | 21.6370 | + | 6.13923i | 0.725683 | + | 0.205903i | ||||
\(890\) | 0.249857 | − | 0.249857i | 0.00837523 | − | 0.00837523i | ||||
\(891\) | −8.62426 | + | 2.31086i | −0.288924 | + | 0.0774168i | ||||
\(892\) | −87.2544 | − | 23.3797i | −2.92149 | − | 0.782811i | ||||
\(893\) | 8.38921 | + | 14.5305i | 0.280734 | + | 0.486246i | ||||
\(894\) | −15.3119 | + | 26.5209i | −0.512106 | + | 0.886993i | ||||
\(895\) | 2.88604 | − | 2.88604i | 0.0964698 | − | 0.0964698i | ||||
\(896\) | −0.907883 | + | 61.8780i | −0.0303303 | + | 2.06720i | ||||
\(897\) | 1.44479 | + | 3.29733i | 0.0482400 | + | 0.110095i | ||||
\(898\) | −16.5126 | + | 28.6006i | −0.551032 | + | 0.954415i | ||||
\(899\) | −8.60587 | + | 32.1175i | −0.287022 | + | 1.07118i | ||||
\(900\) | −8.85615 | − | 15.3393i | −0.295205 | − | 0.511310i | ||||
\(901\) | 1.77737 | − | 3.07849i | 0.0592127 | − | 0.102559i | ||||
\(902\) | −15.6376 | − | 15.6376i | −0.520674 | − | 0.520674i | ||||
\(903\) | 0.852570 | − | 0.215091i | 0.0283718 | − | 0.00715778i | ||||
\(904\) | −63.2037 | − | 63.2037i | −2.10212 | − | 2.10212i | ||||
\(905\) | −6.09539 | + | 1.63325i | −0.202617 | + | 0.0542912i | ||||
\(906\) | −22.4190 | + | 12.9436i | −0.744821 | + | 0.430022i | ||||
\(907\) | 40.1518 | − | 23.1816i | 1.33322 | − | 0.769733i | 0.347426 | − | 0.937707i | \(-0.387056\pi\) |
0.985791 | + | 0.167974i | \(0.0537225\pi\) | |||||||
\(908\) | −23.3682 | − | 87.2113i | −0.775501 | − | 2.89421i | ||||
\(909\) | 34.7660 | 1.15311 | ||||||||
\(910\) | 39.8490 | + | 51.3343i | 1.32098 | + | 1.70171i | ||||
\(911\) | −23.8152 | −0.789032 | −0.394516 | − | 0.918889i | \(-0.629088\pi\) | ||||
−0.394516 | + | 0.918889i | \(0.629088\pi\) | |||||||
\(912\) | 5.42498 | + | 20.2463i | 0.179639 | + | 0.670421i | ||||
\(913\) | −10.0968 | + | 5.82938i | −0.334154 | + | 0.192924i | ||||
\(914\) | 43.1609 | − | 24.9189i | 1.42763 | − | 0.824245i | ||||
\(915\) | −14.0636 | + | 3.76832i | −0.464927 | + | 0.124577i | ||||
\(916\) | 81.1056 | + | 81.1056i | 2.67980 | + | 2.67980i | ||||
\(917\) | −17.4774 | + | 16.9719i | −0.577154 | + | 0.560463i | ||||
\(918\) | −11.0008 | − | 11.0008i | −0.363081 | − | 0.363081i | ||||
\(919\) | 28.8769 | − | 50.0162i | 0.952561 | − | 1.64988i | 0.212707 | − | 0.977116i | \(-0.431772\pi\) |
0.739854 | − | 0.672768i | \(-0.234895\pi\) | |||||||
\(920\) | 14.6236 | + | 25.3287i | 0.482124 | + | 0.835064i | ||||
\(921\) | 0.403246 | − | 1.50493i | 0.0132874 | − | 0.0495893i | ||||
\(922\) | 9.91531 | − | 17.1738i | 0.326543 | − | 0.565590i | ||||
\(923\) | −51.0376 | − | 19.9382i | −1.67992 | − | 0.656273i | ||||
\(924\) | −19.8971 | + | 11.1016i | −0.654567 | + | 0.365217i | ||||
\(925\) | −2.24154 | + | 2.24154i | −0.0737014 | + | 0.0737014i | ||||
\(926\) | 26.6475 | − | 46.1547i | 0.875690 | − | 1.51674i | ||||
\(927\) | 10.9241 | + | 18.9212i | 0.358796 | + | 0.621452i | ||||
\(928\) | −79.1858 | − | 21.2178i | −2.59940 | − | 0.696507i | ||||
\(929\) | 18.4822 | − | 4.95230i | 0.606383 | − | 0.162480i | 0.0574529 | − | 0.998348i | \(-0.481702\pi\) |
0.548930 | + | 0.835868i | \(0.315035\pi\) | |||||||
\(930\) | −26.6210 | + | 26.6210i | −0.872939 | + | 0.872939i | ||||
\(931\) | −14.0372 | − | 4.20633i | −0.460050 | − | 0.137857i | ||||
\(932\) | −158.807 | −5.20190 | ||||||||
\(933\) | 2.16872 | + | 1.25211i | 0.0710008 | + | 0.0409923i | ||||
\(934\) | 25.7464 | + | 6.89872i | 0.842447 | + | 0.225733i | ||||
\(935\) | −6.61032 | + | 3.81647i | −0.216181 | + | 0.124812i | ||||
\(936\) | 48.0349 | + | 60.0399i | 1.57007 | + | 1.96247i | ||||
\(937\) | 8.53986i | 0.278985i | 0.990223 | + | 0.139492i | \(0.0445471\pi\) | ||||
−0.990223 | + | 0.139492i | \(0.955453\pi\) | |||||||
\(938\) | −3.89448 | − | 1.10501i | −0.127159 | − | 0.0360797i | ||||
\(939\) | 18.1823 | 0.593357 | ||||||||
\(940\) | −92.3612 | − | 53.3248i | −3.01249 | − | 1.73926i | ||||
\(941\) | 6.94674 | − | 25.9256i | 0.226457 | − | 0.845149i | −0.755358 | − | 0.655312i | \(-0.772537\pi\) |
0.981816 | − | 0.189838i | \(-0.0607961\pi\) | |||||||
\(942\) | −20.7992 | − | 5.57313i | −0.677674 | − | 0.181582i | ||||
\(943\) | 1.29622 | + | 4.83755i | 0.0422106 | + | 0.157532i | ||||
\(944\) | −72.7992 | + | 72.7992i | −2.36941 | + | 2.36941i | ||||
\(945\) | −27.5333 | − | 0.403972i | −0.895658 | − | 0.0131412i | ||||
\(946\) | − | 2.54181i | − | 0.0826414i | ||||||
\(947\) | 35.2734 | − | 9.45147i | 1.14623 | − | 0.307132i | 0.364777 | − | 0.931095i | \(-0.381145\pi\) |
0.781454 | + | 0.623963i | \(0.214479\pi\) | |||||||
\(948\) | 28.7684 | + | 49.8283i | 0.934353 | + | 1.61835i | ||||
\(949\) | 6.68683 | + | 43.8956i | 0.217064 | + | 1.42491i | ||||
\(950\) | 6.78335 | + | 3.91637i | 0.220081 | + | 0.127064i | ||||
\(951\) | 16.2686 | + | 16.2686i | 0.527546 | + | 0.527546i | ||||
\(952\) | 28.0190 | + | 16.7296i | 0.908102 | + | 0.542210i | ||||
\(953\) | − | 41.8966i | − | 1.35716i | −0.734525 | − | 0.678581i | \(-0.762595\pi\) | ||
0.734525 | − | 0.678581i | \(-0.237405\pi\) | |||||||
\(954\) | −4.28744 | − | 16.0009i | −0.138811 | − | 0.518050i | ||||
\(955\) | 7.15162 | − | 26.6902i | 0.231421 | − | 0.863674i | ||||
\(956\) | −19.6015 | + | 73.1536i | −0.633956 | + | 2.36596i | ||||
\(957\) | −1.93400 | − | 7.21779i | −0.0625174 | − | 0.233318i | ||||
\(958\) | 36.5976i | 1.18241i | ||||||||
\(959\) | 20.6708 | + | 12.3421i | 0.667494 | + | 0.398547i | ||||
\(960\) | −29.8450 | − | 29.8450i | −0.963242 | − | 0.963242i | ||||
\(961\) | −19.0359 | − | 10.9904i | −0.614062 | − | 0.354529i | ||||
\(962\) | 13.1498 | − | 17.8761i | 0.423966 | − | 0.576348i | ||||
\(963\) | −5.22221 | − | 9.04514i | −0.168284 | − | 0.291476i | ||||
\(964\) | −108.662 | + | 29.1158i | −3.49976 | + | 0.937758i | ||||
\(965\) | 15.7502i | 0.507016i | ||||||||
\(966\) | 7.11931 | + | 0.104456i | 0.229060 | + | 0.00336080i | ||||
\(967\) | −26.8795 | + | 26.8795i | −0.864388 | + | 0.864388i | −0.991844 | − | 0.127456i | \(-0.959319\pi\) |
0.127456 | + | 0.991844i | \(0.459319\pi\) | |||||||
\(968\) | −14.4806 | − | 54.0425i | −0.465426 | − | 1.73699i | ||||
\(969\) | 2.15202 | + | 0.576631i | 0.0691328 | + | 0.0185241i | ||||
\(970\) | −23.5326 | + | 87.8250i | −0.755588 | + | 2.81989i | ||||
\(971\) | 35.4794 | + | 20.4840i | 1.13859 | + | 0.657364i | 0.946081 | − | 0.323932i | \(-0.105005\pi\) |
0.192507 | + | 0.981296i | \(0.438338\pi\) | |||||||
\(972\) | −81.6021 | −2.61739 | ||||||||
\(973\) | 1.89439 | + | 0.537508i | 0.0607313 | + | 0.0172317i | ||||
\(974\) | − | 16.5562i | − | 0.530494i | ||||||
\(975\) | −3.77697 | − | 0.419547i | −0.120960 | − | 0.0134363i | ||||
\(976\) | 86.6510 | − | 50.0280i | 2.77363 | − | 1.60136i | ||||
\(977\) | 25.5649 | + | 6.85008i | 0.817892 | + | 0.219154i | 0.643425 | − | 0.765509i | \(-0.277513\pi\) |
0.174467 | + | 0.984663i | \(0.444180\pi\) | |||||||
\(978\) | 0.954729 | + | 0.551213i | 0.0305289 | + | 0.0176258i | ||||
\(979\) | −0.111750 | −0.00357154 | ||||||||
\(980\) | 90.6397 | − | 21.4578i | 2.89538 | − | 0.685443i | ||||
\(981\) | −12.6406 | + | 12.6406i | −0.403582 | + | 0.403582i | ||||
\(982\) | 58.4297 | − | 15.6562i | 1.86457 | − | 0.499609i | ||||
\(983\) | 45.4290 | + | 12.1727i | 1.44896 | + | 0.388247i | 0.895661 | − | 0.444737i | \(-0.146703\pi\) |
0.553297 | + | 0.832984i | \(0.313369\pi\) | |||||||
\(984\) | −12.7216 | − | 22.0344i | −0.405549 | − | 0.702431i | ||||
\(985\) | 20.5398 | − | 35.5760i | 0.654452 | − | 1.13354i | ||||
\(986\) | −12.2039 | + | 12.2039i | −0.388650 | + | 0.388650i | ||||
\(987\) | −14.0597 | + | 7.84465i | −0.447526 | + | 0.249698i | ||||
\(988\) | −37.0132 | − | 14.4595i | −1.17755 | − | 0.460017i | ||||
\(989\) | −0.287813 | + | 0.498507i | −0.00915193 | + | 0.0158516i | ||||
\(990\) | −9.20625 | + | 34.3582i | −0.292594 | + | 1.09198i | ||||
\(991\) | 12.0292 | + | 20.8351i | 0.382119 | + | 0.661850i | 0.991365 | − | 0.131132i | \(-0.0418610\pi\) |
−0.609246 | + | 0.792981i | \(0.708528\pi\) | |||||||
\(992\) | 65.3120 | − | 113.124i | 2.07366 | − | 3.59168i | ||||
\(993\) | 5.13538 | + | 5.13538i | 0.162966 | + | 0.162966i | ||||
\(994\) | −77.7466 | + | 75.4982i | −2.46597 | + | 2.39466i | ||||
\(995\) | −32.2630 | − | 32.2630i | −1.02281 | − | 1.02281i | ||||
\(996\) | −20.8936 | + | 5.59843i | −0.662039 | + | 0.177393i | ||||
\(997\) | 5.76234 | − | 3.32689i | 0.182495 | − | 0.105364i | −0.405969 | − | 0.913887i | \(-0.633066\pi\) |
0.588464 | + | 0.808523i | \(0.299733\pi\) | |||||||
\(998\) | −87.0062 | + | 50.2331i | −2.75413 | + | 1.59010i | ||||
\(999\) | 2.43373 | + | 9.08281i | 0.0769999 | + | 0.287367i |
(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 | 91.2.bb.a.5.8 | ✓ | 32 | |
3.2 | odd | 2 | 819.2.fn.e.460.1 | 32 | |||
7.2 | even | 3 | 637.2.i.a.538.15 | 32 | |||
7.3 | odd | 6 | inner | 91.2.bb.a.31.1 | yes | 32 | |
7.4 | even | 3 | 637.2.bc.b.31.1 | 32 | |||
7.5 | odd | 6 | 637.2.i.a.538.16 | 32 | |||
7.6 | odd | 2 | 637.2.bc.b.460.8 | 32 | |||
13.8 | odd | 4 | inner | 91.2.bb.a.47.1 | yes | 32 | |
21.17 | even | 6 | 819.2.fn.e.577.8 | 32 | |||
39.8 | even | 4 | 819.2.fn.e.775.8 | 32 | |||
91.34 | even | 4 | 637.2.bc.b.411.1 | 32 | |||
91.47 | even | 12 | 637.2.i.a.489.16 | 32 | |||
91.60 | odd | 12 | 637.2.bc.b.619.8 | 32 | |||
91.73 | even | 12 | inner | 91.2.bb.a.73.8 | yes | 32 | |
91.86 | odd | 12 | 637.2.i.a.489.15 | 32 | |||
273.164 | odd | 12 | 819.2.fn.e.73.1 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bb.a.5.8 | ✓ | 32 | 1.1 | even | 1 | trivial | |
91.2.bb.a.31.1 | yes | 32 | 7.3 | odd | 6 | inner | |
91.2.bb.a.47.1 | yes | 32 | 13.8 | odd | 4 | inner | |
91.2.bb.a.73.8 | yes | 32 | 91.73 | even | 12 | inner | |
637.2.i.a.489.15 | 32 | 91.86 | odd | 12 | |||
637.2.i.a.489.16 | 32 | 91.47 | even | 12 | |||
637.2.i.a.538.15 | 32 | 7.2 | even | 3 | |||
637.2.i.a.538.16 | 32 | 7.5 | odd | 6 | |||
637.2.bc.b.31.1 | 32 | 7.4 | even | 3 | |||
637.2.bc.b.411.1 | 32 | 91.34 | even | 4 | |||
637.2.bc.b.460.8 | 32 | 7.6 | odd | 2 | |||
637.2.bc.b.619.8 | 32 | 91.60 | odd | 12 | |||
819.2.fn.e.73.1 | 32 | 273.164 | odd | 12 | |||
819.2.fn.e.460.1 | 32 | 3.2 | odd | 2 | |||
819.2.fn.e.577.8 | 32 | 21.17 | even | 6 | |||
819.2.fn.e.775.8 | 32 | 39.8 | even | 4 |