Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [155,2,Mod(4,155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(155, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("155.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 155 = 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 155.n (of order \(10\), 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: | \(1.23768123133\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 4.14 | ||
Character | \(\chi\) | \(=\) | 155.4 |
Dual form | 155.2.n.a.39.14 |
$q$-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 \(\left(\mathbb{Z}/155\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(96\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.53334 | − | 0.823132i | 1.79134 | − | 0.582042i | 0.791757 | − | 0.610836i | \(-0.209167\pi\) |
0.999585 | + | 0.0287935i | \(0.00916653\pi\) | |||||||
\(3\) | −0.851532 | − | 0.276679i | −0.491632 | − | 0.159741i | 0.0527006 | − | 0.998610i | \(-0.483217\pi\) |
−0.544333 | + | 0.838869i | \(0.683217\pi\) | |||||||
\(4\) | 4.12224 | − | 2.99498i | 2.06112 | − | 1.49749i | ||||
\(5\) | −1.95835 | + | 1.07930i | −0.875799 | + | 0.482676i | ||||
\(6\) | −2.38496 | −0.973658 | ||||||||
\(7\) | 1.09214 | + | 1.50319i | 0.412788 | + | 0.568154i | 0.963896 | − | 0.266280i | \(-0.0857946\pi\) |
−0.551107 | + | 0.834434i | \(0.685795\pi\) | |||||||
\(8\) | 4.84638 | − | 6.67047i | 1.71345 | − | 2.35837i | ||||
\(9\) | −1.77850 | − | 1.29215i | −0.592832 | − | 0.430718i | ||||
\(10\) | −4.07276 | + | 4.34620i | −1.28792 | + | 1.37439i | ||||
\(11\) | −2.65939 | + | 1.93216i | −0.801835 | + | 0.582567i | −0.911452 | − | 0.411407i | \(-0.865038\pi\) |
0.109617 | + | 0.993974i | \(0.465038\pi\) | |||||||
\(12\) | −4.33886 | + | 1.40978i | −1.25252 | + | 0.406969i | ||||
\(13\) | 3.28502 | + | 1.06737i | 0.911100 | + | 0.296034i | 0.726811 | − | 0.686838i | \(-0.241002\pi\) |
0.184289 | + | 0.982872i | \(0.441002\pi\) | |||||||
\(14\) | 4.00408 | + | 2.90913i | 1.07014 | + | 0.777499i | ||||
\(15\) | 1.96621 | − | 0.377220i | 0.507674 | − | 0.0973978i | ||||
\(16\) | 3.63775 | − | 11.1958i | 0.909437 | − | 2.79896i | ||||
\(17\) | −3.91492 | + | 5.38843i | −0.949509 | + | 1.30689i | 0.00223671 | + | 0.999997i | \(0.499288\pi\) |
−0.951745 | + | 0.306889i | \(0.900712\pi\) | |||||||
\(18\) | −5.56915 | − | 1.80953i | −1.31266 | − | 0.426509i | ||||
\(19\) | −1.38932 | − | 4.27590i | −0.318733 | − | 0.980959i | −0.974191 | − | 0.225727i | \(-0.927524\pi\) |
0.655458 | − | 0.755232i | \(-0.272476\pi\) | |||||||
\(20\) | −4.84030 | + | 10.3143i | −1.08232 | + | 2.30635i | ||||
\(21\) | −0.514085 | − | 1.58219i | −0.112182 | − | 0.345262i | ||||
\(22\) | −5.14671 | + | 7.08384i | −1.09728 | + | 1.51028i | ||||
\(23\) | 0.973370 | − | 1.33973i | 0.202962 | − | 0.279353i | −0.695387 | − | 0.718635i | \(-0.744767\pi\) |
0.898349 | + | 0.439282i | \(0.144767\pi\) | |||||||
\(24\) | −5.97243 | + | 4.33922i | −1.21912 | + | 0.885741i | ||||
\(25\) | 2.67024 | − | 4.22727i | 0.534049 | − | 0.845454i | ||||
\(26\) | 9.20065 | 1.80440 | ||||||||
\(27\) | 2.73576 | + | 3.76545i | 0.526497 | + | 0.724661i | ||||
\(28\) | 9.00407 | + | 2.92560i | 1.70161 | + | 0.552887i | ||||
\(29\) | −0.535051 | − | 1.64672i | −0.0993564 | − | 0.305788i | 0.889008 | − | 0.457891i | \(-0.151395\pi\) |
−0.988365 | + | 0.152104i | \(0.951395\pi\) | |||||||
\(30\) | 4.67059 | − | 2.57408i | 0.852729 | − | 0.469961i | ||||
\(31\) | 3.17793 | + | 4.57174i | 0.570772 | + | 0.821108i | ||||
\(32\) | − | 14.8669i | − | 2.62812i | ||||||
\(33\) | 2.79914 | − | 0.909496i | 0.487268 | − | 0.158323i | ||||
\(34\) | −5.48245 | + | 16.8732i | −0.940232 | + | 2.89374i | ||||
\(35\) | −3.76117 | − | 1.76504i | −0.635754 | − | 0.298346i | ||||
\(36\) | −11.2014 | −1.86689 | ||||||||
\(37\) | − | 7.99446i | − | 1.31428i | −0.753768 | − | 0.657141i | \(-0.771766\pi\) | ||
0.753768 | − | 0.657141i | \(-0.228234\pi\) | |||||||
\(38\) | −7.03926 | − | 9.68871i | −1.14192 | − | 1.57172i | ||||
\(39\) | −2.50198 | − | 1.81779i | −0.400637 | − | 0.291080i | ||||
\(40\) | −2.29148 | + | 18.2938i | −0.362316 | + | 2.89250i | ||||
\(41\) | −2.13103 | − | 6.55865i | −0.332812 | − | 1.02429i | −0.967790 | − | 0.251759i | \(-0.918991\pi\) |
0.634978 | − | 0.772530i | \(-0.281009\pi\) | |||||||
\(42\) | −2.60470 | − | 3.58507i | −0.401914 | − | 0.553188i | ||||
\(43\) | −2.37503 | + | 0.771693i | −0.362188 | + | 0.117682i | −0.484457 | − | 0.874815i | \(-0.660983\pi\) |
0.122269 | + | 0.992497i | \(0.460983\pi\) | |||||||
\(44\) | −5.17585 | + | 15.9296i | −0.780288 | + | 2.40148i | ||||
\(45\) | 4.87753 | + | 0.610961i | 0.727099 | + | 0.0910766i | ||||
\(46\) | 1.36310 | − | 4.19520i | 0.200979 | − | 0.618549i | ||||
\(47\) | 3.56064 | + | 1.15692i | 0.519373 | + | 0.168755i | 0.556961 | − | 0.830539i | \(-0.311967\pi\) |
−0.0375877 | + | 0.999293i | \(0.511967\pi\) | |||||||
\(48\) | −6.19532 | + | 8.52712i | −0.894217 | + | 1.23078i | ||||
\(49\) | 1.09628 | − | 3.37401i | 0.156612 | − | 0.482002i | ||||
\(50\) | 3.28503 | − | 12.9071i | 0.464574 | − | 1.82534i | ||||
\(51\) | 4.82455 | − | 3.50524i | 0.675572 | − | 0.490832i | ||||
\(52\) | 16.7384 | − | 5.43862i | 2.32119 | − | 0.754201i | ||||
\(53\) | 0.0789882 | − | 0.108718i | 0.0108499 | − | 0.0149336i | −0.803558 | − | 0.595227i | \(-0.797062\pi\) |
0.814407 | + | 0.580293i | \(0.197062\pi\) | |||||||
\(54\) | 10.0301 | + | 7.28728i | 1.36492 | + | 0.991673i | ||||
\(55\) | 3.12263 | − | 6.65410i | 0.421056 | − | 0.897238i | ||||
\(56\) | 15.3199 | 2.04721 | ||||||||
\(57\) | 4.02546i | 0.533185i | ||||||||
\(58\) | −2.71093 | − | 3.73128i | −0.355963 | − | 0.489941i | ||||
\(59\) | 0.897180 | − | 2.76124i | 0.116803 | − | 0.359482i | −0.875516 | − | 0.483189i | \(-0.839478\pi\) |
0.992319 | + | 0.123707i | \(0.0394783\pi\) | |||||||
\(60\) | 6.97543 | − | 7.44376i | 0.900524 | − | 0.960985i | ||||
\(61\) | −13.9130 | −1.78138 | −0.890689 | − | 0.454613i | \(-0.849778\pi\) | ||||
−0.890689 | + | 0.454613i | \(0.849778\pi\) | |||||||
\(62\) | 11.8139 | + | 8.96591i | 1.50037 | + | 1.13867i | ||||
\(63\) | − | 4.08463i | − | 0.514615i | ||||||
\(64\) | −4.96193 | − | 15.2713i | −0.620242 | − | 1.90891i | ||||
\(65\) | −7.58520 | + | 1.45523i | −0.940829 | + | 0.180499i | ||||
\(66\) | 6.34254 | − | 4.60813i | 0.780713 | − | 0.567221i | ||||
\(67\) | 2.09842i | 0.256363i | 0.991751 | + | 0.128182i | \(0.0409140\pi\) | ||||
−0.991751 | + | 0.128182i | \(0.959086\pi\) | |||||||
\(68\) | 33.9375i | 4.11553i | ||||||||
\(69\) | −1.19953 | + | 0.871510i | −0.144407 | + | 0.104918i | ||||
\(70\) | −10.9812 | − | 1.37551i | −1.31250 | − | 0.164405i | ||||
\(71\) | 11.9552 | + | 8.68595i | 1.41882 | + | 1.03083i | 0.991965 | + | 0.126512i | \(0.0403782\pi\) |
0.426854 | + | 0.904320i | \(0.359622\pi\) | |||||||
\(72\) | −17.2385 | + | 5.60114i | −2.03158 | + | 0.660101i | ||||
\(73\) | −2.13479 | − | 2.93829i | −0.249859 | − | 0.343901i | 0.665603 | − | 0.746306i | \(-0.268174\pi\) |
−0.915462 | + | 0.402405i | \(0.868174\pi\) | |||||||
\(74\) | −6.58050 | − | 20.2527i | −0.764968 | − | 2.35433i | ||||
\(75\) | −3.44340 | + | 2.86085i | −0.397609 | + | 0.330343i | ||||
\(76\) | −18.5334 | − | 13.4653i | −2.12592 | − | 1.54457i | ||||
\(77\) | −5.80882 | − | 1.88740i | −0.661976 | − | 0.215089i | ||||
\(78\) | −7.83465 | − | 2.54563i | −0.887099 | − | 0.288236i | ||||
\(79\) | 5.70201 | + | 4.14275i | 0.641526 | + | 0.466096i | 0.860374 | − | 0.509663i | \(-0.170230\pi\) |
−0.218848 | + | 0.975759i | \(0.570230\pi\) | |||||||
\(80\) | 4.95964 | + | 25.8515i | 0.554505 | + | 2.89029i | ||||
\(81\) | 0.750211 | + | 2.30891i | 0.0833568 | + | 0.256546i | ||||
\(82\) | −10.7973 | − | 14.8612i | −1.19236 | − | 1.64114i | ||||
\(83\) | 2.71418 | − | 0.881889i | 0.297920 | − | 0.0967999i | −0.156243 | − | 0.987719i | \(-0.549938\pi\) |
0.454163 | + | 0.890919i | \(0.349938\pi\) | |||||||
\(84\) | −6.85780 | − | 4.98249i | −0.748248 | − | 0.543634i | ||||
\(85\) | 1.85107 | − | 14.7778i | 0.200777 | − | 1.60287i | ||||
\(86\) | −5.38155 | + | 3.90992i | −0.580307 | + | 0.421618i | ||||
\(87\) | 1.55027i | 0.166206i | ||||||||
\(88\) | 27.1033i | 2.88923i | ||||||||
\(89\) | 0.0987802 | − | 0.0717680i | 0.0104707 | − | 0.00760739i | −0.582538 | − | 0.812804i | \(-0.697940\pi\) |
0.593008 | + | 0.805196i | \(0.297940\pi\) | |||||||
\(90\) | 12.8593 | − | 2.46708i | 1.35549 | − | 0.260053i | ||||
\(91\) | 1.98322 | + | 6.10373i | 0.207898 | + | 0.639845i | ||||
\(92\) | − | 8.43790i | − | 0.879712i | ||||||
\(93\) | −1.44120 | − | 4.77225i | −0.149445 | − | 0.494859i | ||||
\(94\) | 9.97262 | 1.02860 | ||||||||
\(95\) | 7.33574 | + | 6.87420i | 0.752631 | + | 0.705278i | ||||
\(96\) | −4.11337 | + | 12.6596i | −0.419819 | + | 1.29207i | ||||
\(97\) | 6.84681 | + | 9.42382i | 0.695188 | + | 0.956844i | 0.999990 | + | 0.00442869i | \(0.00140970\pi\) |
−0.304802 | + | 0.952416i | \(0.598590\pi\) | |||||||
\(98\) | − | 9.44991i | − | 0.954585i | ||||||
\(99\) | 7.22635 | 0.726276 | ||||||||
\(100\) | −1.65322 | − | 25.4231i | −0.165322 | − | 2.54231i | ||||
\(101\) | −3.13371 | − | 2.27677i | −0.311816 | − | 0.226548i | 0.420859 | − | 0.907126i | \(-0.361729\pi\) |
−0.732675 | + | 0.680578i | \(0.761729\pi\) | |||||||
\(102\) | 9.33695 | − | 12.8512i | 0.924496 | − | 1.27246i | ||||
\(103\) | −8.88008 | + | 2.88531i | −0.874980 | + | 0.284298i | −0.711871 | − | 0.702310i | \(-0.752152\pi\) |
−0.163109 | + | 0.986608i | \(0.552152\pi\) | |||||||
\(104\) | 23.0403 | − | 16.7397i | 2.25929 | − | 1.64147i | ||||
\(105\) | 2.71441 | + | 2.54363i | 0.264899 | + | 0.248233i | ||||
\(106\) | 0.110615 | − | 0.340438i | 0.0107439 | − | 0.0330662i | ||||
\(107\) | −8.48203 | + | 11.6745i | −0.819989 | + | 1.12862i | 0.169715 | + | 0.985493i | \(0.445715\pi\) |
−0.989705 | + | 0.143125i | \(0.954285\pi\) | |||||||
\(108\) | 22.5549 | + | 7.32853i | 2.17035 | + | 0.705188i | ||||
\(109\) | 3.91840 | − | 12.0596i | 0.375314 | − | 1.15510i | −0.567952 | − | 0.823062i | \(-0.692264\pi\) |
0.943266 | − | 0.332037i | \(-0.107736\pi\) | |||||||
\(110\) | 2.43349 | − | 19.4274i | 0.232024 | − | 1.85233i | ||||
\(111\) | −2.21190 | + | 6.80754i | −0.209945 | + | 0.646143i | ||||
\(112\) | 20.8024 | − | 6.75912i | 1.96565 | − | 0.638677i | ||||
\(113\) | −0.706638 | − | 0.972604i | −0.0664749 | − | 0.0914949i | 0.774485 | − | 0.632592i | \(-0.218009\pi\) |
−0.840960 | + | 0.541097i | \(0.818009\pi\) | |||||||
\(114\) | 3.31349 | + | 10.1979i | 0.310337 | + | 0.955118i | ||||
\(115\) | −0.460233 | + | 3.67421i | −0.0429169 | + | 0.342622i | ||||
\(116\) | −7.13748 | − | 5.18569i | −0.662699 | − | 0.481479i | ||||
\(117\) | −4.46319 | − | 6.14305i | −0.412622 | − | 0.567925i | ||||
\(118\) | − | 7.73365i | − | 0.711940i | ||||||
\(119\) | −12.3755 | −1.13446 | ||||||||
\(120\) | 7.01278 | − | 14.9437i | 0.640177 | − | 1.36417i | ||||
\(121\) | −0.0600826 | + | 0.184915i | −0.00546205 | + | 0.0168105i | ||||
\(122\) | −35.2464 | + | 11.4523i | −3.19106 | + | 1.03684i | ||||
\(123\) | 6.17451i | 0.556737i | ||||||||
\(124\) | 26.7924 | + | 9.32795i | 2.40603 | + | 0.837675i | ||||
\(125\) | −0.666788 | + | 11.1604i | −0.0596393 | + | 0.998220i | ||||
\(126\) | −3.36219 | − | 10.3478i | −0.299528 | − | 0.921852i | ||||
\(127\) | 15.7103 | + | 5.10457i | 1.39406 | + | 0.452957i | 0.907265 | − | 0.420559i | \(-0.138166\pi\) |
0.486795 | + | 0.873516i | \(0.338166\pi\) | |||||||
\(128\) | −7.66345 | − | 10.5478i | −0.677359 | − | 0.932305i | ||||
\(129\) | 2.23592 | 0.196862 | ||||||||
\(130\) | −18.0181 | + | 9.93022i | −1.58029 | + | 0.870938i | ||||
\(131\) | 11.1658 | − | 8.11241i | 0.975558 | − | 0.708785i | 0.0188467 | − | 0.999822i | \(-0.494001\pi\) |
0.956712 | + | 0.291038i | \(0.0940006\pi\) | |||||||
\(132\) | 8.81479 | − | 12.1325i | 0.767229 | − | 1.05600i | ||||
\(133\) | 4.91018 | − | 6.75828i | 0.425767 | − | 0.586018i | ||||
\(134\) | 1.72728 | + | 5.31602i | 0.149214 | + | 0.459234i | ||||
\(135\) | −9.42160 | − | 4.42136i | −0.810882 | − | 0.380530i | ||||
\(136\) | 16.9702 | + | 52.2288i | 1.45518 | + | 4.47858i | ||||
\(137\) | 9.81637 | + | 3.18953i | 0.838669 | + | 0.272500i | 0.696692 | − | 0.717370i | \(-0.254654\pi\) |
0.141977 | + | 0.989870i | \(0.454654\pi\) | |||||||
\(138\) | −2.32145 | + | 3.19521i | −0.197615 | + | 0.271994i | ||||
\(139\) | −4.39194 | + | 13.5170i | −0.372520 | + | 1.14650i | 0.572617 | + | 0.819823i | \(0.305928\pi\) |
−0.945137 | + | 0.326675i | \(0.894072\pi\) | |||||||
\(140\) | −20.7907 | + | 3.98872i | −1.75713 | + | 0.337108i | ||||
\(141\) | −2.71190 | − | 1.97031i | −0.228383 | − | 0.165930i | ||||
\(142\) | 37.4362 | + | 12.1638i | 3.14158 | + | 1.02076i | ||||
\(143\) | −10.7984 | + | 3.50863i | −0.903012 | + | 0.293406i | ||||
\(144\) | −20.9365 | + | 15.2112i | −1.74470 | + | 1.26760i | ||||
\(145\) | 2.82511 | + | 2.64736i | 0.234612 | + | 0.219852i | ||||
\(146\) | −7.82676 | − | 5.68647i | −0.647747 | − | 0.470616i | ||||
\(147\) | −1.86704 | + | 2.56976i | −0.153991 | + | 0.211950i | ||||
\(148\) | −23.9433 | − | 32.9551i | −1.96812 | − | 2.70889i | ||||
\(149\) | −17.0640 | −1.39794 | −0.698969 | − | 0.715152i | \(-0.746357\pi\) | ||||
−0.698969 | + | 0.715152i | \(0.746357\pi\) | |||||||
\(150\) | −6.36843 | + | 10.0819i | −0.519980 | + | 0.823182i | ||||
\(151\) | 3.56947 | − | 2.59337i | 0.290479 | − | 0.211045i | −0.432996 | − | 0.901396i | \(-0.642544\pi\) |
0.723475 | + | 0.690350i | \(0.242544\pi\) | |||||||
\(152\) | −35.2555 | − | 11.4552i | −2.85960 | − | 0.929139i | ||||
\(153\) | 13.9254 | − | 4.52462i | 1.12580 | − | 0.365794i | ||||
\(154\) | −16.2693 | −1.31102 | ||||||||
\(155\) | −11.1577 | − | 5.52312i | −0.896211 | − | 0.443628i | ||||
\(156\) | −15.7580 | −1.26165 | ||||||||
\(157\) | −0.244601 | + | 0.0794756i | −0.0195213 | + | 0.00634284i | −0.318761 | − | 0.947835i | \(-0.603267\pi\) |
0.299240 | + | 0.954178i | \(0.403267\pi\) | |||||||
\(158\) | 17.8552 | + | 5.80149i | 1.42048 | + | 0.461542i | ||||
\(159\) | −0.0973410 | + | 0.0707224i | −0.00771965 | + | 0.00560865i | ||||
\(160\) | 16.0458 | + | 29.1145i | 1.26853 | + | 2.30171i | ||||
\(161\) | 3.07693 | 0.242496 | ||||||||
\(162\) | 3.80108 | + | 5.23174i | 0.298641 | + | 0.411044i | ||||
\(163\) | −11.3663 | + | 15.6444i | −0.890279 | + | 1.22536i | 0.0831879 | + | 0.996534i | \(0.473490\pi\) |
−0.973467 | + | 0.228830i | \(0.926510\pi\) | |||||||
\(164\) | −28.4276 | − | 20.6539i | −2.21983 | − | 1.61280i | ||||
\(165\) | −4.50007 | + | 4.80221i | −0.350330 | + | 0.373851i | ||||
\(166\) | 6.15002 | − | 4.46825i | 0.477334 | − | 0.346804i | ||||
\(167\) | −18.3927 | + | 5.97614i | −1.42327 | + | 0.462448i | −0.916639 | − | 0.399717i | \(-0.869108\pi\) |
−0.506628 | + | 0.862164i | \(0.669108\pi\) | |||||||
\(168\) | −13.0454 | − | 4.23871i | −1.00647 | − | 0.327023i | ||||
\(169\) | −0.865159 | − | 0.628575i | −0.0665507 | − | 0.0483519i | ||||
\(170\) | −7.47468 | − | 38.9608i | −0.573281 | − | 2.98816i | ||||
\(171\) | −3.05421 | + | 9.39989i | −0.233561 | + | 0.718828i | ||||
\(172\) | −7.47922 | + | 10.2943i | −0.570285 | + | 0.784930i | ||||
\(173\) | −6.26240 | − | 2.03478i | −0.476121 | − | 0.154701i | 0.0611188 | − | 0.998130i | \(-0.480533\pi\) |
−0.537240 | + | 0.843429i | \(0.680533\pi\) | |||||||
\(174\) | 1.27608 | + | 3.92736i | 0.0967391 | + | 0.297732i | ||||
\(175\) | 9.27067 | − | 0.602854i | 0.700797 | − | 0.0455714i | ||||
\(176\) | 11.9579 | + | 36.8028i | 0.901364 | + | 2.77411i | ||||
\(177\) | −1.52795 | + | 2.10305i | −0.114848 | + | 0.158075i | ||||
\(178\) | 0.191169 | − | 0.263122i | 0.0143287 | − | 0.0197218i | ||||
\(179\) | 0.880161 | − | 0.639474i | 0.0657863 | − | 0.0477966i | −0.554406 | − | 0.832246i | \(-0.687055\pi\) |
0.620192 | + | 0.784450i | \(0.287055\pi\) | |||||||
\(180\) | 21.9361 | − | 12.0896i | 1.63502 | − | 0.901103i | ||||
\(181\) | −11.1786 | −0.830898 | −0.415449 | − | 0.909616i | \(-0.636376\pi\) | ||||
−0.415449 | + | 0.909616i | \(0.636376\pi\) | |||||||
\(182\) | 10.0484 | + | 13.8304i | 0.744833 | + | 1.02518i | ||||
\(183\) | 11.8474 | + | 3.84944i | 0.875783 | + | 0.284559i | ||||
\(184\) | −4.21930 | − | 12.9857i | −0.311051 | − | 0.957317i | ||||
\(185\) | 8.62839 | + | 15.6559i | 0.634372 | + | 1.15105i | ||||
\(186\) | −7.57924 | − | 10.9034i | −0.555737 | − | 0.799478i | ||||
\(187\) | − | 21.8942i | − | 1.60106i | ||||||
\(188\) | 18.1428 | − | 5.89494i | 1.32320 | − | 0.429933i | ||||
\(189\) | −2.67239 | + | 8.22476i | −0.194388 | + | 0.598263i | ||||
\(190\) | 24.2423 | + | 11.3764i | 1.75872 | + | 0.825332i | ||||
\(191\) | 1.13290 | 0.0819739 | 0.0409869 | − | 0.999160i | \(-0.486950\pi\) | ||||
0.0409869 | + | 0.999160i | \(0.486950\pi\) | |||||||
\(192\) | 14.3768i | 1.03756i | ||||||||
\(193\) | 10.2064 | + | 14.0479i | 0.734671 | + | 1.01119i | 0.998908 | + | 0.0467299i | \(0.0148800\pi\) |
−0.264237 | + | 0.964458i | \(0.585120\pi\) | |||||||
\(194\) | 25.1024 | + | 18.2379i | 1.80224 | + | 1.30941i | ||||
\(195\) | 6.86168 | + | 0.859496i | 0.491375 | + | 0.0615498i | ||||
\(196\) | −5.58596 | − | 17.1918i | −0.398997 | − | 1.22799i | ||||
\(197\) | −4.53093 | − | 6.23629i | −0.322815 | − | 0.444317i | 0.616509 | − | 0.787348i | \(-0.288546\pi\) |
−0.939324 | + | 0.343031i | \(0.888546\pi\) | |||||||
\(198\) | 18.3068 | − | 5.94824i | 1.30101 | − | 0.422723i | ||||
\(199\) | 5.12245 | − | 15.7653i | 0.363121 | − | 1.11757i | −0.588029 | − | 0.808840i | \(-0.700096\pi\) |
0.951149 | − | 0.308731i | \(-0.0999042\pi\) | |||||||
\(200\) | −15.2569 | − | 38.2987i | −1.07882 | − | 2.70813i | ||||
\(201\) | 0.580590 | − | 1.78687i | 0.0409517 | − | 0.126036i | ||||
\(202\) | −9.81285 | − | 3.18839i | −0.690430 | − | 0.224334i | ||||
\(203\) | 1.89099 | − | 2.60272i | 0.132721 | − | 0.182675i | ||||
\(204\) | 9.38981 | − | 28.8989i | 0.657418 | − | 2.02332i | ||||
\(205\) | 11.2520 | + | 10.5441i | 0.785875 | + | 0.736431i | ||||
\(206\) | −20.1213 | + | 14.6190i | −1.40192 | + | 1.01855i | ||||
\(207\) | −3.46227 | + | 1.12496i | −0.240644 | + | 0.0781901i | ||||
\(208\) | 23.9001 | − | 32.8957i | 1.65718 | − | 2.28091i | ||||
\(209\) | 11.9565 | + | 8.68688i | 0.827046 | + | 0.600884i | ||||
\(210\) | 8.97026 | + | 4.20956i | 0.619006 | + | 0.290487i | ||||
\(211\) | 7.37302 | 0.507580 | 0.253790 | − | 0.967259i | \(-0.418323\pi\) | ||||
0.253790 | + | 0.967259i | \(0.418323\pi\) | |||||||
\(212\) | − | 0.684729i | − | 0.0470274i | ||||||
\(213\) | −7.77700 | − | 10.7041i | −0.532871 | − | 0.733434i | ||||
\(214\) | −11.8782 | + | 36.5574i | −0.811978 | + | 2.49901i | ||||
\(215\) | 3.81824 | − | 4.07460i | 0.260402 | − | 0.277885i | ||||
\(216\) | 38.3759 | 2.61115 | ||||||||
\(217\) | −3.40149 | + | 9.77000i | −0.230908 | + | 0.663231i | ||||
\(218\) | − | 33.7764i | − | 2.28763i | ||||||
\(219\) | 1.00488 | + | 3.09270i | 0.0679035 | + | 0.208985i | ||||
\(220\) | −7.05666 | − | 36.7820i | −0.475760 | − | 2.47984i | ||||
\(221\) | −18.6120 | + | 13.5224i | −1.25198 | + | 0.909617i | ||||
\(222\) | 19.0665i | 1.27966i | ||||||||
\(223\) | − | 1.89476i | − | 0.126882i | −0.997986 | − | 0.0634412i | \(-0.979792\pi\) | ||
0.997986 | − | 0.0634412i | \(-0.0202075\pi\) | |||||||
\(224\) | 22.3479 | − | 16.2367i | 1.49318 | − | 1.08486i | ||||
\(225\) | −10.2113 | + | 4.06782i | −0.680753 | + | 0.271188i | ||||
\(226\) | −2.59074 | − | 1.88228i | −0.172333 | − | 0.125207i | ||||
\(227\) | 6.15982 | − | 2.00145i | 0.408841 | − | 0.132841i | −0.0973737 | − | 0.995248i | \(-0.531044\pi\) |
0.506215 | + | 0.862407i | \(0.331044\pi\) | |||||||
\(228\) | 12.0562 | + | 16.5939i | 0.798440 | + | 1.09896i | ||||
\(229\) | −1.83044 | − | 5.63351i | −0.120959 | − | 0.372273i | 0.872184 | − | 0.489177i | \(-0.162703\pi\) |
−0.993143 | + | 0.116904i | \(0.962703\pi\) | |||||||
\(230\) | 1.85843 | + | 9.68685i | 0.122541 | + | 0.638732i | ||||
\(231\) | 4.42419 | + | 3.21436i | 0.291090 | + | 0.211489i | ||||
\(232\) | −13.5774 | − | 4.41158i | −0.891402 | − | 0.289634i | ||||
\(233\) | −6.68019 | − | 2.17052i | −0.437634 | − | 0.142196i | 0.0819100 | − | 0.996640i | \(-0.473898\pi\) |
−0.519544 | + | 0.854444i | \(0.673898\pi\) | |||||||
\(234\) | −16.3633 | − | 11.8886i | −1.06970 | − | 0.777185i | ||||
\(235\) | −8.22163 | + | 1.57733i | −0.536320 | + | 0.102894i | ||||
\(236\) | −4.57146 | − | 14.0695i | −0.297577 | − | 0.915846i | ||||
\(237\) | −3.70923 | − | 5.10531i | −0.240940 | − | 0.331626i | ||||
\(238\) | −31.3513 | + | 10.1867i | −2.03220 | + | 0.660303i | ||||
\(239\) | −16.2803 | − | 11.8284i | −1.05309 | − | 0.765113i | −0.0802905 | − | 0.996772i | \(-0.525585\pi\) |
−0.972797 | + | 0.231659i | \(0.925585\pi\) | |||||||
\(240\) | 2.92929 | − | 23.3856i | 0.189085 | − | 1.50954i | ||||
\(241\) | 22.4327 | − | 16.2983i | 1.44502 | − | 1.04987i | 0.458057 | − | 0.888923i | \(-0.348546\pi\) |
0.986963 | − | 0.160945i | \(-0.0514543\pi\) | |||||||
\(242\) | 0.517909i | 0.0332925i | ||||||||
\(243\) | − | 16.1367i | − | 1.03517i | ||||||
\(244\) | −57.3527 | + | 41.6692i | −3.67163 | + | 2.66760i | ||||
\(245\) | 1.49465 | + | 7.79070i | 0.0954899 | + | 0.497729i | ||||
\(246\) | 5.08244 | + | 15.6421i | 0.324045 | + | 0.997306i | ||||
\(247\) | − | 15.5293i | − | 0.988107i | ||||||
\(248\) | 45.8971 | + | 0.958112i | 2.91447 | + | 0.0608401i | ||||
\(249\) | −2.55521 | −0.161930 | ||||||||
\(250\) | 7.49732 | + | 28.8221i | 0.474172 | + | 1.82287i | ||||
\(251\) | 0.763703 | − | 2.35043i | 0.0482045 | − | 0.148358i | −0.924057 | − | 0.382255i | \(-0.875148\pi\) |
0.972261 | + | 0.233897i | \(0.0751477\pi\) | |||||||
\(252\) | −12.2334 | − | 16.8378i | −0.770631 | − | 1.06068i | ||||
\(253\) | 5.44356i | 0.342234i | ||||||||
\(254\) | 44.0012 | 2.76088 | ||||||||
\(255\) | −5.66495 | + | 12.0716i | −0.354753 | + | 0.755952i | ||||
\(256\) | −2.11536 | − | 1.53690i | −0.132210 | − | 0.0960562i | ||||
\(257\) | 6.11721 | − | 8.41962i | 0.381581 | − | 0.525201i | −0.574422 | − | 0.818560i | \(-0.694773\pi\) |
0.956003 | + | 0.293358i | \(0.0947729\pi\) | |||||||
\(258\) | 5.66436 | − | 1.84046i | 0.352647 | − | 0.114582i | ||||
\(259\) | 12.0172 | − | 8.73103i | 0.746715 | − | 0.542520i | ||||
\(260\) | −26.9096 | + | 28.7163i | −1.66886 | + | 1.78091i | ||||
\(261\) | −1.17622 | + | 3.62005i | −0.0728064 | + | 0.224075i | ||||
\(262\) | 21.6091 | − | 29.7424i | 1.33502 | − | 1.83749i | ||||
\(263\) | 4.99099 | + | 1.62167i | 0.307758 | + | 0.0999965i | 0.458824 | − | 0.888527i | \(-0.348271\pi\) |
−0.151067 | + | 0.988524i | \(0.548271\pi\) | |||||||
\(264\) | 7.49894 | − | 23.0794i | 0.461528 | − | 1.42044i | ||||
\(265\) | −0.0373475 | + | 0.298159i | −0.00229424 | + | 0.0183158i | ||||
\(266\) | 6.87620 | − | 21.1628i | 0.421607 | − | 1.29757i | ||||
\(267\) | −0.103971 | + | 0.0337823i | −0.00636293 | + | 0.00206744i | ||||
\(268\) | 6.28473 | + | 8.65019i | 0.383901 | + | 0.528395i | ||||
\(269\) | −3.73198 | − | 11.4858i | −0.227543 | − | 0.700304i | −0.998024 | − | 0.0628412i | \(-0.979984\pi\) |
0.770481 | − | 0.637463i | \(-0.220016\pi\) | |||||||
\(270\) | −27.5075 | − | 3.44560i | −1.67405 | − | 0.209692i | ||||
\(271\) | −4.03403 | − | 2.93090i | −0.245050 | − | 0.178039i | 0.458480 | − | 0.888705i | \(-0.348394\pi\) |
−0.703530 | + | 0.710665i | \(0.748394\pi\) | |||||||
\(272\) | 46.0865 | + | 63.4326i | 2.79440 | + | 3.84617i | ||||
\(273\) | − | 5.74624i | − | 0.347778i | ||||||
\(274\) | 27.4936 | 1.66095 | ||||||||
\(275\) | 1.06654 | + | 16.4013i | 0.0643149 | + | 0.989034i | ||||
\(276\) | −2.33459 | + | 7.18514i | −0.140526 | + | 0.432495i | ||||
\(277\) | 15.9259 | − | 5.17464i | 0.956895 | − | 0.310914i | 0.211381 | − | 0.977404i | \(-0.432204\pi\) |
0.745514 | + | 0.666490i | \(0.232204\pi\) | |||||||
\(278\) | 37.8583i | 2.27059i | ||||||||
\(279\) | 0.255454 | − | 12.2372i | 0.0152936 | − | 0.732621i | ||||
\(280\) | −30.0017 | + | 16.5347i | −1.79295 | + | 0.988139i | ||||
\(281\) | 2.69673 | + | 8.29967i | 0.160873 | + | 0.495117i | 0.998709 | − | 0.0508062i | \(-0.0161791\pi\) |
−0.837835 | + | 0.545923i | \(0.816179\pi\) | |||||||
\(282\) | −8.49200 | − | 2.75922i | −0.505692 | − | 0.164309i | ||||
\(283\) | −13.5286 | − | 18.6205i | −0.804192 | − | 1.10688i | −0.992194 | − | 0.124707i | \(-0.960201\pi\) |
0.188001 | − | 0.982169i | \(-0.439799\pi\) | |||||||
\(284\) | 75.2963 | 4.46801 | ||||||||
\(285\) | −4.34466 | − | 7.88325i | −0.257356 | − | 0.466963i | ||||
\(286\) | −24.4681 | + | 17.7771i | −1.44683 | + | 1.05118i | ||||
\(287\) | 7.53155 | − | 10.3663i | 0.444573 | − | 0.611903i | ||||
\(288\) | −19.2103 | + | 26.4407i | −1.13198 | + | 1.55803i | ||||
\(289\) | −8.45527 | − | 26.0226i | −0.497369 | − | 1.53074i | ||||
\(290\) | 9.33609 | + | 4.38124i | 0.548234 | + | 0.257275i | ||||
\(291\) | −3.22290 | − | 9.91906i | −0.188930 | − | 0.581465i | ||||
\(292\) | −17.6002 | − | 5.71866i | −1.02998 | − | 0.334660i | ||||
\(293\) | −0.523762 | + | 0.720896i | −0.0305985 | + | 0.0421152i | −0.824042 | − | 0.566528i | \(-0.808286\pi\) |
0.793444 | + | 0.608644i | \(0.208286\pi\) | |||||||
\(294\) | −2.61460 | + | 8.04690i | −0.152486 | + | 0.469305i | ||||
\(295\) | 1.22320 | + | 6.37578i | 0.0712175 | + | 0.371212i | ||||
\(296\) | −53.3268 | − | 38.7442i | −3.09956 | − | 2.25196i | ||||
\(297\) | −14.5509 | − | 4.72787i | −0.844328 | − | 0.274339i | ||||
\(298\) | −43.2289 | + | 14.0459i | −2.50419 | + | 0.813659i | ||||
\(299\) | 4.62752 | − | 3.36209i | 0.267616 | − | 0.194435i | ||||
\(300\) | −5.62629 | + | 22.1060i | −0.324834 | + | 1.27629i | ||||
\(301\) | −3.75386 | − | 2.72734i | −0.216369 | − | 0.157201i | ||||
\(302\) | 6.90799 | − | 9.50804i | 0.397510 | − | 0.547126i | ||||
\(303\) | 2.03852 | + | 2.80578i | 0.117110 | + | 0.161188i | ||||
\(304\) | −52.9263 | −3.03553 | ||||||||
\(305\) | 27.2465 | − | 15.0163i | 1.56013 | − | 0.859828i | ||||
\(306\) | 31.5533 | − | 22.9248i | 1.80378 | − | 1.31052i | ||||
\(307\) | 9.37151 | + | 3.04499i | 0.534860 | + | 0.173787i | 0.563979 | − | 0.825789i | \(-0.309270\pi\) |
−0.0291185 | + | 0.999576i | \(0.509270\pi\) | |||||||
\(308\) | −29.5980 | + | 9.61699i | −1.68650 | + | 0.547979i | ||||
\(309\) | 8.35997 | 0.475582 | ||||||||
\(310\) | −32.8126 | − | 4.80766i | −1.86363 | − | 0.273057i | ||||
\(311\) | −1.95770 | −0.111011 | −0.0555054 | − | 0.998458i | \(-0.517677\pi\) | ||||
−0.0555054 | + | 0.998458i | \(0.517677\pi\) | |||||||
\(312\) | −24.2511 | + | 7.87965i | −1.37295 | + | 0.446097i | ||||
\(313\) | 10.4669 | + | 3.40091i | 0.591625 | + | 0.192231i | 0.589502 | − | 0.807767i | \(-0.299324\pi\) |
0.00212320 | + | 0.999998i | \(0.499324\pi\) | |||||||
\(314\) | −0.554238 | + | 0.402677i | −0.0312775 | + | 0.0227244i | ||||
\(315\) | 4.40852 | + | 7.99912i | 0.248392 | + | 0.450700i | ||||
\(316\) | 35.9125 | 2.02023 | ||||||||
\(317\) | 1.43892 | + | 1.98050i | 0.0808178 | + | 0.111236i | 0.847512 | − | 0.530777i | \(-0.178100\pi\) |
−0.766694 | + | 0.642013i | \(0.778100\pi\) | |||||||
\(318\) | −0.188384 | + | 0.259289i | −0.0105641 | + | 0.0145402i | ||||
\(319\) | 4.60462 | + | 3.34545i | 0.257809 | + | 0.187309i | ||||
\(320\) | 26.1994 | + | 24.5510i | 1.46459 | + | 1.37244i | ||||
\(321\) | 10.4528 | − | 7.59442i | 0.583420 | − | 0.423879i | ||||
\(322\) | 7.79490 | − | 2.53272i | 0.434393 | − | 0.141143i | ||||
\(323\) | 28.4795 | + | 9.25355i | 1.58464 | + | 0.514881i | ||||
\(324\) | 10.0077 | + | 7.27101i | 0.555983 | + | 0.403945i | ||||
\(325\) | 13.2838 | − | 11.0365i | 0.736855 | − | 0.612196i | ||||
\(326\) | −15.9173 | + | 48.9886i | −0.881580 | + | 2.71323i | ||||
\(327\) | −6.67328 | + | 9.18498i | −0.369033 | + | 0.507931i | ||||
\(328\) | −54.0771 | − | 17.5707i | −2.98591 | − | 0.970180i | ||||
\(329\) | 2.14962 | + | 6.61586i | 0.118512 | + | 0.364744i | ||||
\(330\) | −7.44736 | + | 15.8698i | −0.409964 | + | 0.873603i | ||||
\(331\) | 2.01327 | + | 6.19620i | 0.110659 | + | 0.340574i | 0.991017 | − | 0.133736i | \(-0.0426975\pi\) |
−0.880358 | + | 0.474310i | \(0.842698\pi\) | |||||||
\(332\) | 8.54723 | − | 11.7643i | 0.469090 | − | 0.645647i | ||||
\(333\) | −10.3301 | + | 14.2181i | −0.566084 | + | 0.779148i | ||||
\(334\) | −41.6757 | + | 30.2792i | −2.28039 | + | 1.65680i | ||||
\(335\) | −2.26482 | − | 4.10944i | −0.123740 | − | 0.224523i | ||||
\(336\) | −19.5840 | −1.06840 | ||||||||
\(337\) | −19.4840 | − | 26.8175i | −1.06136 | − | 1.46084i | −0.878523 | − | 0.477699i | \(-0.841471\pi\) |
−0.182840 | − | 0.983143i | \(-0.558529\pi\) | |||||||
\(338\) | −2.70914 | − | 0.880254i | −0.147358 | − | 0.0478795i | ||||
\(339\) | 0.332625 | + | 1.02372i | 0.0180657 | + | 0.0556006i | ||||
\(340\) | −36.6286 | − | 66.4614i | −1.98646 | − | 3.60437i | ||||
\(341\) | −17.2847 | − | 6.01776i | −0.936016 | − | 0.325880i | ||||
\(342\) | 26.3271i | 1.42361i | ||||||||
\(343\) | 18.6389 | − | 6.05614i | 1.00640 | − | 0.327001i | ||||
\(344\) | −6.36273 | + | 19.5825i | −0.343055 | + | 1.05582i | ||||
\(345\) | 1.40848 | − | 3.00137i | 0.0758300 | − | 0.161588i | ||||
\(346\) | −17.5397 | −0.942939 | ||||||||
\(347\) | − | 28.0979i | − | 1.50837i | −0.656661 | − | 0.754186i | \(-0.728032\pi\) | ||
0.656661 | − | 0.754186i | \(-0.271968\pi\) | |||||||
\(348\) | 4.64302 | + | 6.39057i | 0.248892 | + | 0.342571i | ||||
\(349\) | 2.27369 | + | 1.65193i | 0.121708 | + | 0.0884259i | 0.646974 | − | 0.762512i | \(-0.276034\pi\) |
−0.525266 | + | 0.850938i | \(0.676034\pi\) | |||||||
\(350\) | 22.9896 | − | 9.15823i | 1.22884 | − | 0.489528i | ||||
\(351\) | 4.96790 | + | 15.2896i | 0.265167 | + | 0.816100i | ||||
\(352\) | 28.7252 | + | 39.5368i | 1.53106 | + | 2.10732i | ||||
\(353\) | −22.5657 | + | 7.33205i | −1.20105 | + | 0.390246i | −0.840148 | − | 0.542357i | \(-0.817532\pi\) |
−0.360904 | + | 0.932603i | \(0.617532\pi\) | |||||||
\(354\) | −2.13974 | + | 6.58545i | −0.113726 | + | 0.350013i | ||||
\(355\) | −32.7871 | − | 4.10692i | −1.74016 | − | 0.217973i | ||||
\(356\) | 0.192251 | − | 0.591689i | 0.0101893 | − | 0.0313595i | ||||
\(357\) | 10.5381 | + | 3.42404i | 0.557737 | + | 0.181220i | ||||
\(358\) | 1.70338 | − | 2.34450i | 0.0900262 | − | 0.123910i | ||||
\(359\) | −1.08317 | + | 3.33366i | −0.0571677 | + | 0.175944i | −0.975563 | − | 0.219720i | \(-0.929486\pi\) |
0.918395 | + | 0.395664i | \(0.129486\pi\) | |||||||
\(360\) | 27.7137 | − | 29.5745i | 1.46064 | − | 1.55871i | ||||
\(361\) | −0.981774 | + | 0.713300i | −0.0516723 | + | 0.0375421i | ||||
\(362\) | −28.3192 | + | 9.20146i | −1.48842 | + | 0.483618i | ||||
\(363\) | 0.102324 | − | 0.140838i | 0.00537064 | − | 0.00739206i | ||||
\(364\) | 26.4558 | + | 19.2213i | 1.38666 | + | 1.00747i | ||||
\(365\) | 7.35195 | + | 3.45012i | 0.384819 | + | 0.180587i | ||||
\(366\) | 33.1820 | 1.73445 | ||||||||
\(367\) | − | 7.24221i | − | 0.378040i | −0.981973 | − | 0.189020i | \(-0.939469\pi\) | ||
0.981973 | − | 0.189020i | \(-0.0605311\pi\) | |||||||
\(368\) | −11.4585 | − | 15.7713i | −0.597316 | − | 0.822135i | ||||
\(369\) | −4.68474 | + | 14.4182i | −0.243878 | + | 0.750579i | ||||
\(370\) | 34.7456 | + | 32.5595i | 1.80634 | + | 1.69269i | ||||
\(371\) | 0.249690 | 0.0129633 | ||||||||
\(372\) | −20.2337 | − | 15.3560i | −1.04907 | − | 0.796169i | ||||
\(373\) | 20.2147i | 1.04668i | 0.852125 | + | 0.523338i | \(0.175314\pi\) | ||||
−0.852125 | + | 0.523338i | \(0.824686\pi\) | |||||||
\(374\) | −18.0218 | − | 55.4654i | −0.931885 | − | 2.86805i | ||||
\(375\) | 3.65566 | − | 9.31898i | 0.188777 | − | 0.481230i | ||||
\(376\) | 24.9735 | − | 18.1443i | 1.28791 | − | 0.935720i | ||||
\(377\) | − | 5.98058i | − | 0.308016i | ||||||
\(378\) | 23.0359i | 1.18484i | ||||||||
\(379\) | −9.83280 | + | 7.14395i | −0.505077 | + | 0.366960i | −0.810953 | − | 0.585111i | \(-0.801051\pi\) |
0.305876 | + | 0.952071i | \(0.401051\pi\) | |||||||
\(380\) | 50.8277 | + | 6.36670i | 2.60741 | + | 0.326605i | ||||
\(381\) | −11.9655 | − | 8.69341i | −0.613009 | − | 0.445377i | ||||
\(382\) | 2.87003 | − | 0.932528i | 0.146843 | − | 0.0477123i | ||||
\(383\) | −12.2764 | − | 16.8970i | −0.627296 | − | 0.863398i | 0.370563 | − | 0.928807i | \(-0.379165\pi\) |
−0.997859 | + | 0.0654090i | \(0.979165\pi\) | |||||||
\(384\) | 3.60730 | + | 11.1021i | 0.184084 | + | 0.566553i | ||||
\(385\) | 13.4127 | − | 2.57325i | 0.683577 | − | 0.131145i | ||||
\(386\) | 37.4195 | + | 27.1868i | 1.90460 | + | 1.38377i | ||||
\(387\) | 5.22112 | + | 1.69645i | 0.265405 | + | 0.0862352i | ||||
\(388\) | 56.4483 | + | 18.3412i | 2.86573 | + | 0.931132i | ||||
\(389\) | 18.7789 | + | 13.6437i | 0.952127 | + | 0.691761i | 0.951309 | − | 0.308239i | \(-0.0997396\pi\) |
0.000817994 | 1.00000i | \(0.499740\pi\) | ||||||||
\(390\) | 18.0904 | − | 3.47067i | 0.916045 | − | 0.175744i | ||||
\(391\) | 3.40837 | + | 10.4899i | 0.172369 | + | 0.530496i | ||||
\(392\) | −17.1932 | − | 23.6645i | −0.868390 | − | 1.19524i | ||||
\(393\) | −11.7525 | + | 3.81863i | −0.592838 | + | 0.192625i | ||||
\(394\) | −16.6117 | − | 12.0691i | −0.836884 | − | 0.608032i | ||||
\(395\) | −15.6378 | − | 1.95879i | −0.786821 | − | 0.0985575i | ||||
\(396\) | 29.7887 | − | 21.6428i | 1.49694 | − | 1.08759i | ||||
\(397\) | 2.52587i | 0.126770i | 0.997989 | + | 0.0633850i | \(0.0201896\pi\) | ||||
−0.997989 | + | 0.0633850i | \(0.979810\pi\) | |||||||
\(398\) | − | 44.1553i | − | 2.21330i | ||||||
\(399\) | −6.05105 | + | 4.39635i | −0.302932 | + | 0.220093i | ||||
\(400\) | −37.6141 | − | 45.2733i | −1.88071 | − | 2.26367i | ||||
\(401\) | −6.48654 | − | 19.9635i | −0.323922 | − | 0.996931i | −0.971925 | − | 0.235292i | \(-0.924395\pi\) |
0.648002 | − | 0.761638i | \(-0.275605\pi\) | |||||||
\(402\) | − | 5.00466i | − | 0.249610i | ||||||
\(403\) | 5.55982 | + | 18.4102i | 0.276954 | + | 0.917080i | ||||
\(404\) | −19.7368 | −0.981942 | ||||||||
\(405\) | −3.96117 | − | 3.71195i | −0.196832 | − | 0.184448i | ||||
\(406\) | 2.64813 | − | 8.15011i | 0.131425 | − | 0.404483i | ||||
\(407\) | 15.4466 | + | 21.2604i | 0.765658 | + | 1.05384i | ||||
\(408\) | − | 49.1698i | − | 2.43427i | ||||||
\(409\) | −4.59958 | −0.227434 | −0.113717 | − | 0.993513i | \(-0.536276\pi\) | ||||
−0.113717 | + | 0.993513i | \(0.536276\pi\) | |||||||
\(410\) | 37.1844 | + | 17.4499i | 1.83641 | + | 0.861788i | ||||
\(411\) | −7.47647 | − | 5.43198i | −0.368787 | − | 0.267940i | ||||
\(412\) | −27.9643 | + | 38.4896i | −1.37770 | + | 1.89625i | ||||
\(413\) | 5.13052 | − | 1.66701i | 0.252456 | − | 0.0820280i | ||||
\(414\) | −7.84512 | + | 5.69981i | −0.385567 | + | 0.280131i | ||||
\(415\) | −4.36348 | + | 4.65644i | −0.214195 | + | 0.228576i | ||||
\(416\) | 15.8684 | − | 48.8380i | 0.778014 | − | 2.39448i | ||||
\(417\) | 7.47976 | − | 10.2950i | 0.366285 | − | 0.504149i | ||||
\(418\) | 37.4402 | + | 12.1651i | 1.83126 | + | 0.595013i | ||||
\(419\) | 2.18547 | − | 6.72617i | 0.106767 | − | 0.328595i | −0.883374 | − | 0.468669i | \(-0.844734\pi\) |
0.990141 | + | 0.140073i | \(0.0447339\pi\) | |||||||
\(420\) | 18.8075 | + | 2.35584i | 0.917713 | + | 0.114953i | ||||
\(421\) | −6.46485 | + | 19.8968i | −0.315077 | + | 0.969708i | 0.660645 | + | 0.750698i | \(0.270283\pi\) |
−0.975723 | + | 0.219010i | \(0.929717\pi\) | |||||||
\(422\) | 18.6784 | − | 6.06897i | 0.909249 | − | 0.295433i | ||||
\(423\) | −4.83767 | − | 6.65848i | −0.235215 | − | 0.323746i | ||||
\(424\) | −0.342393 | − | 1.05378i | −0.0166281 | − | 0.0511760i | ||||
\(425\) | 12.3246 | + | 30.9379i | 0.597829 | + | 1.50071i | ||||
\(426\) | −28.5127 | − | 20.7157i | −1.38144 | − | 1.00368i | ||||
\(427\) | −15.1949 | − | 20.9140i | −0.735332 | − | 1.01210i | ||||
\(428\) | 73.5286i | 3.55414i | ||||||||
\(429\) | 10.1660 | 0.490819 | ||||||||
\(430\) | 6.31897 | − | 13.4653i | 0.304728 | − | 0.649353i | ||||
\(431\) | 4.91415 | − | 15.1242i | 0.236706 | − | 0.728507i | −0.760184 | − | 0.649708i | \(-0.774891\pi\) |
0.996890 | − | 0.0787996i | \(-0.0251087\pi\) | |||||||
\(432\) | 52.1094 | − | 16.9314i | 2.50711 | − | 0.814611i | ||||
\(433\) | 36.8418i | 1.77050i | 0.465114 | + | 0.885251i | \(0.346013\pi\) | ||||
−0.465114 | + | 0.885251i | \(0.653987\pi\) | |||||||
\(434\) | −0.575125 | + | 27.5506i | −0.0276069 | + | 1.32247i | ||||
\(435\) | −1.67320 | − | 3.03596i | −0.0802237 | − | 0.145563i | ||||
\(436\) | −19.9657 | − | 61.4480i | −0.956182 | − | 2.94282i | ||||
\(437\) | −7.08087 | − | 2.30072i | −0.338724 | − | 0.110058i | ||||
\(438\) | 5.09141 | + | 7.00772i | 0.243277 | + | 0.334842i | ||||
\(439\) | −3.92408 | −0.187286 | −0.0936430 | − | 0.995606i | \(-0.529851\pi\) | ||||
−0.0936430 | + | 0.995606i | \(0.529851\pi\) | |||||||
\(440\) | −29.2525 | − | 53.0777i | −1.39456 | − | 2.53038i | ||||
\(441\) | −6.30947 | + | 4.58410i | −0.300451 | + | 0.218291i | ||||
\(442\) | −36.0199 | + | 49.5771i | −1.71329 | + | 2.35814i | ||||
\(443\) | 13.9984 | − | 19.2671i | 0.665084 | − | 0.915410i | −0.334552 | − | 0.942377i | \(-0.608585\pi\) |
0.999636 | + | 0.0269676i | \(0.00858510\pi\) | |||||||
\(444\) | 11.2705 | + | 34.6869i | 0.534872 | + | 1.64617i | ||||
\(445\) | −0.115987 | + | 0.247160i | −0.00549831 | + | 0.0117165i | ||||
\(446\) | −1.55964 | − | 4.80007i | −0.0738509 | − | 0.227290i | ||||
\(447\) | 14.5305 | + | 4.72126i | 0.687271 | + | 0.223308i | ||||
\(448\) | 17.5366 | − | 24.1370i | 0.828526 | − | 1.14037i | ||||
\(449\) | −10.5533 | + | 32.4798i | −0.498042 | + | 1.53282i | 0.314120 | + | 0.949383i | \(0.398290\pi\) |
−0.812162 | + | 0.583432i | \(0.801710\pi\) | |||||||
\(450\) | −22.5203 | + | 18.7104i | −1.06162 | + | 0.882018i | ||||
\(451\) | 18.3396 | + | 13.3245i | 0.863577 | + | 0.627426i | ||||
\(452\) | −5.82586 | − | 1.89294i | −0.274025 | − | 0.0890362i | ||||
\(453\) | −3.75705 | + | 1.22074i | −0.176522 | + | 0.0573553i | ||||
\(454\) | 13.9575 | − | 10.1407i | 0.655056 | − | 0.475926i | ||||
\(455\) | −10.4716 | − | 9.81273i | −0.490914 | − | 0.460028i | ||||
\(456\) | 26.8517 | + | 19.5089i | 1.25745 | + | 0.913589i | ||||
\(457\) | 8.46799 | − | 11.6552i | 0.396116 | − | 0.545206i | −0.563648 | − | 0.826015i | \(-0.690603\pi\) |
0.959764 | + | 0.280809i | \(0.0906026\pi\) | |||||||
\(458\) | −9.27425 | − | 12.7649i | −0.433357 | − | 0.596465i | ||||
\(459\) | −31.0002 | −1.44696 | ||||||||
\(460\) | 9.10699 | + | 16.5243i | 0.424616 | + | 0.770451i | ||||
\(461\) | 0.459435 | − | 0.333799i | 0.0213980 | − | 0.0155466i | −0.577035 | − | 0.816720i | \(-0.695790\pi\) |
0.598433 | + | 0.801173i | \(0.295790\pi\) | |||||||
\(462\) | 13.8538 | + | 4.50138i | 0.644538 | + | 0.209423i | ||||
\(463\) | −38.9721 | + | 12.6628i | −1.81119 | + | 0.588490i | −0.811193 | + | 0.584778i | \(0.801182\pi\) |
−0.999993 | + | 0.00371224i | \(0.998818\pi\) | |||||||
\(464\) | −20.3827 | −0.946245 | ||||||||
\(465\) | 7.97303 | + | 7.79023i | 0.369741 | + | 0.361263i | ||||
\(466\) | −18.7098 | −0.866716 | ||||||||
\(467\) | 16.7583 | − | 5.44512i | 0.775484 | − | 0.251970i | 0.105573 | − | 0.994412i | \(-0.466332\pi\) |
0.669911 | + | 0.742442i | \(0.266332\pi\) | |||||||
\(468\) | −36.7966 | − | 11.9559i | −1.70092 | − | 0.552664i | ||||
\(469\) | −3.15434 | + | 2.29176i | −0.145654 | + | 0.105824i | ||||
\(470\) | −19.5298 | + | 10.7634i | −0.900845 | + | 0.496479i | ||||
\(471\) | 0.230275 | 0.0106105 | ||||||||
\(472\) | −14.0707 | − | 19.3666i | −0.647655 | − | 0.891421i | ||||
\(473\) | 4.82508 | − | 6.64116i | 0.221858 | − | 0.305361i | ||||
\(474\) | −13.5991 | − | 9.88031i | −0.624626 | − | 0.453818i | ||||
\(475\) | −21.7852 | − | 5.54464i | −0.999574 | − | 0.254406i | ||||
\(476\) | −51.0147 | + | 37.0643i | −2.33825 | + | 1.69884i | ||||
\(477\) | −0.280961 | + | 0.0912896i | −0.0128643 | + | 0.00417986i | ||||
\(478\) | −50.9800 | − | 16.5644i | −2.33177 | − | 0.757638i | ||||
\(479\) | 3.11760 | + | 2.26507i | 0.142447 | + | 0.103494i | 0.656726 | − | 0.754129i | \(-0.271941\pi\) |
−0.514280 | + | 0.857623i | \(0.671941\pi\) | |||||||
\(480\) | −5.60810 | − | 29.2315i | −0.255973 | − | 1.33423i | ||||
\(481\) | 8.53302 | − | 26.2619i | 0.389072 | − | 1.19744i | ||||
\(482\) | 43.4141 | − | 59.7544i | 1.97746 | − | 2.72174i | ||||
\(483\) | −2.62010 | − | 0.851322i | −0.119219 | − | 0.0387365i | ||||
\(484\) | 0.306143 | + | 0.942210i | 0.0139156 | + | 0.0428277i | ||||
\(485\) | −23.5795 | − | 11.0654i | −1.07069 | − | 0.502453i | ||||
\(486\) | −13.2827 | − | 40.8799i | −0.602514 | − | 1.85435i | ||||
\(487\) | −10.1716 | + | 14.0000i | −0.460919 | + | 0.634400i | −0.974699 | − | 0.223522i | \(-0.928245\pi\) |
0.513780 | + | 0.857922i | \(0.328245\pi\) | |||||||
\(488\) | −67.4278 | + | 92.8063i | −3.05231 | + | 4.20115i | ||||
\(489\) | 14.0073 | − | 10.1769i | 0.633430 | − | 0.460214i | ||||
\(490\) | 10.1992 | + | 18.5062i | 0.460755 | + | 0.836025i | ||||
\(491\) | −3.78355 | −0.170749 | −0.0853745 | − | 0.996349i | \(-0.527209\pi\) | ||||
−0.0853745 | + | 0.996349i | \(0.527209\pi\) | |||||||
\(492\) | 18.4925 | + | 25.4528i | 0.833708 | + | 1.14750i | ||||
\(493\) | 10.9679 | + | 3.56369i | 0.493969 | + | 0.160500i | ||||
\(494\) | −12.7827 | − | 39.3411i | −0.575120 | − | 1.77004i | ||||
\(495\) | −14.1517 | + | 7.79937i | −0.636072 | + | 0.350556i | ||||
\(496\) | 62.7449 | − | 18.9487i | 2.81733 | − | 0.850823i | ||||
\(497\) | 27.4572i | 1.23162i | ||||||||
\(498\) | −6.47321 | + | 2.10327i | −0.290072 | + | 0.0942500i | ||||
\(499\) | 2.26002 | − | 6.95564i | 0.101173 | − | 0.311377i | −0.887641 | − | 0.460537i | \(-0.847657\pi\) |
0.988813 | + | 0.149160i | \(0.0476569\pi\) | |||||||
\(500\) | 30.6766 | + | 48.0030i | 1.37190 | + | 2.14676i | ||||
\(501\) | 17.3154 | 0.773596 | ||||||||
\(502\) | − | 6.58308i | − | 0.293817i | ||||||
\(503\) | 14.4858 | + | 19.9380i | 0.645891 | + | 0.888993i | 0.998913 | − | 0.0466225i | \(-0.0148458\pi\) |
−0.353022 | + | 0.935615i | \(0.614846\pi\) | |||||||
\(504\) | −27.2464 | − | 19.7957i | −1.21365 | − | 0.881770i | ||||
\(505\) | 8.59421 | + | 1.07651i | 0.382437 | + | 0.0479042i | ||||
\(506\) | 4.48077 | + | 13.7904i | 0.199195 | + | 0.613058i | ||||
\(507\) | 0.562797 | + | 0.774623i | 0.0249947 | + | 0.0344022i | ||||
\(508\) | 80.0495 | − | 26.0096i | 3.55162 | − | 1.15399i | ||||
\(509\) | −6.70308 | + | 20.6300i | −0.297109 | + | 0.914407i | 0.685396 | + | 0.728170i | \(0.259629\pi\) |
−0.982505 | + | 0.186236i | \(0.940371\pi\) | |||||||
\(510\) | −4.41473 | + | 35.2445i | −0.195488 | + | 1.56065i | ||||
\(511\) | 2.08534 | − | 6.41802i | 0.0922501 | − | 0.283917i | ||||
\(512\) | 18.1754 | + | 5.90556i | 0.803248 | + | 0.260991i | ||||
\(513\) | 12.2998 | − | 16.9293i | 0.543051 | − | 0.747446i | ||||
\(514\) | 8.56652 | − | 26.3650i | 0.377853 | − | 1.16291i | ||||
\(515\) | 14.2762 | − | 15.2347i | 0.629083 | − | 0.671320i | ||||
\(516\) | 9.21700 | − | 6.69654i | 0.405756 | − | 0.294799i | ||||
\(517\) | −11.7045 | + | 3.80302i | −0.514763 | + | 0.167256i | ||||
\(518\) | 23.2570 | − | 32.0105i | 1.02185 | − | 1.40646i | ||||
\(519\) | 4.76965 | + | 3.46535i | 0.209364 | + | 0.152112i | ||||
\(520\) | −27.0537 | + | 57.6495i | −1.18638 | + | 2.52810i | ||||
\(521\) | 0.832339 | 0.0364654 | 0.0182327 | − | 0.999834i | \(-0.494196\pi\) | ||||
0.0182327 | + | 0.999834i | \(0.494196\pi\) | |||||||
\(522\) | 10.1390i | 0.443772i | ||||||||
\(523\) | 14.6001 | + | 20.0953i | 0.638419 | + | 0.878708i | 0.998530 | − | 0.0542012i | \(-0.0172612\pi\) |
−0.360111 | + | 0.932909i | \(0.617261\pi\) | |||||||
\(524\) | 21.7314 | − | 66.8825i | 0.949343 | − | 2.92178i | ||||
\(525\) | −8.06107 | − | 2.05166i | −0.351814 | − | 0.0895416i | ||||
\(526\) | 13.9787 | 0.609501 | ||||||||
\(527\) | −37.0758 | − | 0.773966i | −1.61505 | − | 0.0337145i | ||||
\(528\) | − | 34.6472i | − | 1.50783i | ||||||
\(529\) | 6.25997 | + | 19.2662i | 0.272172 | + | 0.837661i | ||||
\(530\) | 0.150810 | + | 0.786081i | 0.00655079 | + | 0.0341452i | ||||
\(531\) | −5.16357 | + | 3.75155i | −0.224080 | + | 0.162804i | ||||
\(532\) | − | 42.5651i | − | 1.84543i | ||||||
\(533\) | − | 23.8199i | − | 1.03175i | ||||||
\(534\) | −0.235587 | + | 0.171164i | −0.0101949 | + | 0.00740699i | ||||
\(535\) | 4.01051 | − | 32.0174i | 0.173389 | − | 1.38423i | ||||
\(536\) | 13.9975 | + | 10.1698i | 0.604599 | + | 0.439267i | ||||
\(537\) | −0.926415 | + | 0.301010i | −0.0399777 | + | 0.0129896i | ||||
\(538\) | −18.9087 | − | 26.0257i | −0.815214 | − | 1.12205i | ||||
\(539\) | 3.60368 | + | 11.0910i | 0.155222 | + | 0.477723i | ||||
\(540\) | −52.0800 | + | 9.99160i | −2.24116 | + | 0.429970i | ||||
\(541\) | −35.0322 | − | 25.4524i | −1.50615 | − | 1.09428i | −0.967850 | − | 0.251529i | \(-0.919067\pi\) |
−0.538301 | − | 0.842753i | \(-0.680933\pi\) | |||||||
\(542\) | −12.6321 | − | 4.10442i | −0.542595 | − | 0.176300i | ||||
\(543\) | 9.51893 | + | 3.09289i | 0.408496 | + | 0.132728i | ||||
\(544\) | 80.1093 | + | 58.2028i | 3.43466 | + | 2.49542i | ||||
\(545\) | 5.34228 | + | 27.8460i | 0.228838 | + | 1.19279i | ||||
\(546\) | −4.72991 | − | 14.5572i | −0.202422 | − | 0.622990i | ||||
\(547\) | 23.6938 | + | 32.6117i | 1.01307 | + | 1.39438i | 0.916948 | + | 0.399008i | \(0.130645\pi\) |
0.0961265 | + | 0.995369i | \(0.469355\pi\) | |||||||
\(548\) | 50.0180 | − | 16.2518i | 2.13666 | − | 0.694243i | ||||
\(549\) | 24.7442 | + | 17.9777i | 1.05606 | + | 0.767271i | ||||
\(550\) | 16.2023 | + | 40.6721i | 0.690870 | + | 1.73426i | ||||
\(551\) | −6.29783 | + | 4.57564i | −0.268297 | + | 0.194929i | ||||
\(552\) | 12.2251i | 0.520335i | ||||||||
\(553\) | 13.0957i | 0.556884i | ||||||||
\(554\) | 36.0863 | − | 26.2182i | 1.53316 | − | 1.11391i | ||||
\(555\) | −3.01567 | − | 15.7188i | −0.128008 | − | 0.667227i | ||||
\(556\) | 22.3785 | + | 68.8741i | 0.949062 | + | 2.92091i | ||||
\(557\) | − | 1.39348i | − | 0.0590435i | −0.999564 | − | 0.0295218i | \(-0.990602\pi\) | ||
0.999564 | − | 0.0295218i | \(-0.00939843\pi\) | |||||||
\(558\) | −9.42567 | − | 31.2112i | −0.399020 | − | 1.32128i | ||||
\(559\) | −8.62568 | −0.364828 | ||||||||
\(560\) | −33.4433 | + | 35.6887i | −1.41324 | + | 1.50812i | ||||
\(561\) | −6.05767 | + | 18.6436i | −0.255755 | + | 0.787133i | ||||
\(562\) | 13.6635 | + | 18.8061i | 0.576358 | + | 0.793289i | ||||
\(563\) | − | 15.4749i | − | 0.652188i | −0.945337 | − | 0.326094i | \(-0.894267\pi\) | ||
0.945337 | − | 0.326094i | \(-0.105733\pi\) | |||||||
\(564\) | −17.0802 | −0.719204 | ||||||||
\(565\) | 2.43357 | + | 1.14202i | 0.102381 | + | 0.0480453i | ||||
\(566\) | −49.5997 | − | 36.0363i | −2.08483 | − | 1.51472i | ||||
\(567\) | −2.65141 | + | 3.64936i | −0.111349 | + | 0.153259i | ||||
\(568\) | 115.879 | − | 37.6513i | 4.86216 | − | 1.57981i | ||||
\(569\) | 24.4028 | − | 17.7297i | 1.02302 | − | 0.743268i | 0.0561208 | − | 0.998424i | \(-0.482127\pi\) |
0.966900 | + | 0.255156i | \(0.0821268\pi\) | |||||||
\(570\) | −17.4955 | − | 16.3947i | −0.732805 | − | 0.686700i | ||||
\(571\) | −12.5996 | + | 38.7776i | −0.527277 | + | 1.62279i | 0.232490 | + | 0.972599i | \(0.425313\pi\) |
−0.759768 | + | 0.650195i | \(0.774687\pi\) | |||||||
\(572\) | −34.0055 | + | 46.8045i | −1.42184 | + | 1.95700i | ||||
\(573\) | −0.964701 | − | 0.313451i | −0.0403010 | − | 0.0130946i | ||||
\(574\) | 10.5472 | − | 32.4608i | 0.440230 | − | 1.35489i | ||||
\(575\) | −3.06426 | − | 7.69210i | −0.127789 | − | 0.320783i | ||||
\(576\) | −10.9080 | + | 33.5715i | −0.454501 | + | 1.39881i | ||||
\(577\) | −40.6177 | + | 13.1975i | −1.69094 | + | 0.549419i | −0.986983 | − | 0.160827i | \(-0.948584\pi\) |
−0.703954 | + | 0.710246i | \(0.748584\pi\) | |||||||
\(578\) | −42.8402 | − | 58.9644i | −1.78192 | − | 2.45260i | ||||
\(579\) | −4.80430 | − | 14.7861i | −0.199660 | − | 0.614489i | ||||
\(580\) | 19.5746 | + | 2.45192i | 0.812789 | + | 0.101810i | ||||
\(581\) | 4.28990 | + | 3.11679i | 0.177975 | + | 0.129306i | ||||
\(582\) | −16.3294 | − | 22.4755i | −0.676875 | − | 0.931639i | ||||
\(583\) | 0.441741i | 0.0182950i | ||||||||
\(584\) | −29.9458 | −1.23917 | ||||||||
\(585\) | 15.3706 | + | 7.21312i | 0.635498 | + | 0.298226i | ||||
\(586\) | −0.733474 | + | 2.25740i | −0.0302995 | + | 0.0932524i | ||||
\(587\) | 4.59920 | − | 1.49437i | 0.189829 | − | 0.0616793i | −0.212560 | − | 0.977148i | \(-0.568180\pi\) |
0.402389 | + | 0.915469i | \(0.368180\pi\) | |||||||
\(588\) | 16.1849i | 0.667454i | ||||||||
\(589\) | 15.1331 | − | 19.9401i | 0.623549 | − | 0.821618i | ||||
\(590\) | 8.34689 | + | 15.1452i | 0.343636 | + | 0.623517i | ||||
\(591\) | 2.13278 | + | 6.56401i | 0.0877307 | + | 0.270007i | ||||
\(592\) | −89.5047 | − | 29.0818i | −3.67862 | − | 1.19526i | ||||
\(593\) | −1.11236 | − | 1.53104i | −0.0456793 | − | 0.0628722i | 0.785566 | − | 0.618777i | \(-0.212372\pi\) |
−0.831246 | + | 0.555905i | \(0.812372\pi\) | |||||||
\(594\) | −40.7540 | −1.67216 | ||||||||
\(595\) | 24.2355 | − | 13.3568i | 0.993558 | − | 0.547576i | ||||
\(596\) | −70.3418 | + | 51.1063i | −2.88131 | + | 2.09340i | ||||
\(597\) | −8.72386 | + | 12.0074i | −0.357044 | + | 0.491428i | ||||
\(598\) | 8.95564 | − | 12.3264i | 0.366223 | − | 0.504063i | ||||
\(599\) | 13.6085 | + | 41.8826i | 0.556027 | + | 1.71127i | 0.693216 | + | 0.720730i | \(0.256193\pi\) |
−0.137189 | + | 0.990545i | \(0.543807\pi\) | |||||||
\(600\) | 2.39523 | + | 36.8339i | 0.0977850 | + | 1.50374i | ||||
\(601\) | 3.64172 | + | 11.2081i | 0.148549 | + | 0.457186i | 0.997450 | − | 0.0713648i | \(-0.0227354\pi\) |
−0.848901 | + | 0.528551i | \(0.822735\pi\) | |||||||
\(602\) | −11.7548 | − | 3.81935i | −0.479088 | − | 0.155665i | ||||
\(603\) | 2.71148 | − | 3.73204i | 0.110420 | − | 0.151980i | ||||
\(604\) | 6.94710 | − | 21.3810i | 0.282673 | − | 0.869979i | ||||
\(605\) | −0.0819156 | − | 0.426975i | −0.00333034 | − | 0.0173590i | ||||
\(606\) | 7.47379 | + | 5.43003i | 0.303602 | + | 0.220580i | ||||
\(607\) | −0.554895 | − | 0.180296i | −0.0225225 | − | 0.00731800i | 0.297734 | − | 0.954649i | \(-0.403769\pi\) |
−0.320257 | + | 0.947331i | \(0.603769\pi\) | |||||||
\(608\) | −63.5694 | + | 20.6549i | −2.57808 | + | 0.837669i | ||||
\(609\) | −2.33036 | + | 1.69310i | −0.0944308 | + | 0.0686080i | ||||
\(610\) | 56.6643 | − | 60.4688i | 2.29427 | − | 2.44831i | ||||
\(611\) | 10.4619 | + | 7.60102i | 0.423244 | + | 0.307504i | ||||
\(612\) | 43.8524 | − | 60.3577i | 1.77263 | − | 2.43982i | ||||
\(613\) | −23.4728 | − | 32.3076i | −0.948058 | − | 1.30489i | −0.952385 | − | 0.304899i | \(-0.901377\pi\) |
0.00432681 | − | 0.999991i | \(-0.498623\pi\) | |||||||
\(614\) | 26.2477 | 1.05927 | ||||||||
\(615\) | −6.66412 | − | 12.0918i | −0.268723 | − | 0.487590i | ||||
\(616\) | −40.7416 | + | 29.6005i | −1.64153 | + | 1.19264i | ||||
\(617\) | 0.966765 | + | 0.314121i | 0.0389205 | + | 0.0126460i | 0.328413 | − | 0.944534i | \(-0.393486\pi\) |
−0.289492 | + | 0.957180i | \(0.593486\pi\) | |||||||
\(618\) | 21.1787 | − | 6.88137i | 0.851931 | − | 0.276809i | ||||
\(619\) | −12.4145 | −0.498981 | −0.249490 | − | 0.968377i | \(-0.580263\pi\) | ||||
−0.249490 | + | 0.968377i | \(0.580263\pi\) | |||||||
\(620\) | −62.5365 | + | 10.6496i | −2.51152 | + | 0.427697i | ||||
\(621\) | 7.70759 | 0.309295 | ||||||||
\(622\) | −4.95952 | + | 1.61144i | −0.198858 | + | 0.0646130i | ||||
\(623\) | 0.215763 | + | 0.0701055i | 0.00864434 | + | 0.00280872i | ||||
\(624\) | −29.4533 | + | 21.3991i | −1.17907 | + | 0.856648i | ||||
\(625\) | −10.7396 | − | 22.5757i | −0.429584 | − | 0.903027i | ||||
\(626\) | 29.3157 | 1.17169 | ||||||||
\(627\) | −7.77783 | − | 10.7053i | −0.310616 | − | 0.427527i | ||||
\(628\) | −0.770274 | + | 1.06019i | −0.0307373 | + | 0.0423062i | ||||
\(629\) | 43.0776 | + | 31.2977i | 1.71762 | + | 1.24792i | ||||
\(630\) | 17.7526 | + | 16.6357i | 0.707282 | + | 0.662783i | ||||
\(631\) | 14.8944 | − | 10.8214i | 0.592935 | − | 0.430792i | −0.250429 | − | 0.968135i | \(-0.580572\pi\) |
0.843364 | + | 0.537343i | \(0.180572\pi\) | |||||||
\(632\) | 55.2682 | − | 17.9577i | 2.19845 | − | 0.714320i | ||||
\(633\) | −6.27836 | − | 2.03996i | −0.249542 | − | 0.0810812i | ||||
\(634\) | 5.27549 | + | 3.83287i | 0.209516 | + | 0.152223i | ||||
\(635\) | −36.2755 | + | 6.95949i | −1.43955 | + | 0.276179i | ||||
\(636\) | −0.189451 | + | 0.583069i | −0.00751220 | + | 0.0231202i | ||||
\(637\) | 7.20262 | − | 9.91355i | 0.285378 | − | 0.392789i | ||||
\(638\) | 14.4188 | + | 4.68496i | 0.570847 | + | 0.185479i | ||||
\(639\) | −10.0387 | − | 30.8959i | −0.397124 | − | 1.22222i | ||||
\(640\) | 26.3919 | + | 12.3852i | 1.04323 | + | 0.489567i | ||||
\(641\) | 4.86229 | + | 14.9646i | 0.192049 | + | 0.591065i | 0.999998 | + | 0.00181376i | \(0.000577338\pi\) |
−0.807950 | + | 0.589252i | \(0.799423\pi\) | |||||||
\(642\) | 20.2293 | − | 27.8433i | 0.798389 | − | 1.09889i | ||||
\(643\) | −0.696871 | + | 0.959161i | −0.0274819 | + | 0.0378256i | −0.822537 | − | 0.568712i | \(-0.807442\pi\) |
0.795055 | + | 0.606537i | \(0.207442\pi\) | |||||||
\(644\) | 12.6838 | − | 9.21533i | 0.499812 | − | 0.363135i | ||||
\(645\) | −4.37871 | + | 2.41322i | −0.172412 | + | 0.0950205i | ||||
\(646\) | 79.7651 | 3.13832 | ||||||||
\(647\) | −13.1174 | − | 18.0545i | −0.515697 | − | 0.709797i | 0.469170 | − | 0.883108i | \(-0.344553\pi\) |
−0.984867 | + | 0.173311i | \(0.944553\pi\) | |||||||
\(648\) | 19.0373 | + | 6.18561i | 0.747857 | + | 0.242994i | ||||
\(649\) | 2.94919 | + | 9.07669i | 0.115766 | + | 0.356291i | ||||
\(650\) | 24.5680 | − | 38.8936i | 0.963635 | − | 1.52553i | ||||
\(651\) | 5.59963 | − | 7.37834i | 0.219467 | − | 0.289180i | ||||
\(652\) | 98.5317i | 3.85880i | ||||||||
\(653\) | 1.36670 | − | 0.444067i | 0.0534830 | − | 0.0173777i | −0.282153 | − | 0.959369i | \(-0.591049\pi\) |
0.335636 | + | 0.941992i | \(0.391049\pi\) | |||||||
\(654\) | −9.34524 | + | 28.7617i | −0.365428 | + | 1.12467i | ||||
\(655\) | −13.1108 | + | 27.9381i | −0.512280 | + | 1.09163i | ||||
\(656\) | −81.1817 | −3.16961 | ||||||||
\(657\) | 7.98422i | 0.311494i | ||||||||
\(658\) | 10.8914 | + | 14.9908i | 0.424593 | + | 0.584402i | ||||
\(659\) | −8.84241 | − | 6.42439i | −0.344451 | − | 0.250259i | 0.402086 | − | 0.915602i | \(-0.368285\pi\) |
−0.746538 | + | 0.665343i | \(0.768285\pi\) | |||||||
\(660\) | −4.16784 | + | 33.2735i | −0.162233 | + | 1.29517i | ||||
\(661\) | −7.46306 | − | 22.9689i | −0.290279 | − | 0.893388i | −0.984766 | − | 0.173883i | \(-0.944369\pi\) |
0.694487 | − | 0.719505i | \(-0.255631\pi\) | |||||||
\(662\) | 10.2006 | + | 14.0399i | 0.396457 | + | 0.545676i | ||||
\(663\) | 19.5901 | − | 6.36521i | 0.760817 | − | 0.247204i | ||||
\(664\) | 7.27132 | − | 22.3788i | 0.282182 | − | 0.868466i | ||||
\(665\) | −2.32165 | + | 18.5346i | −0.0900297 | + | 0.718741i | ||||
\(666\) | −14.4662 | + | 44.5224i | −0.560554 | + | 1.72521i | ||||
\(667\) | −2.72696 | − | 0.886042i | −0.105588 | − | 0.0343077i | ||||
\(668\) | −57.9205 | + | 79.7207i | −2.24101 | + | 3.08449i | ||||
\(669\) | −0.524240 | + | 1.61345i | −0.0202683 | + | 0.0623794i | ||||
\(670\) | −9.12017 | − | 8.54636i | −0.352343 | − | 0.330175i | ||||
\(671\) | 37.0001 | − | 26.8821i | 1.42837 | − | 1.03777i | ||||
\(672\) | −23.5223 | + | 7.64285i | −0.907391 | + | 0.294829i | ||||
\(673\) | −3.20052 | + | 4.40513i | −0.123371 | + | 0.169805i | −0.866235 | − | 0.499637i | \(-0.833467\pi\) |
0.742864 | + | 0.669442i | \(0.233467\pi\) | |||||||
\(674\) | −71.4341 | − | 51.8999i | −2.75154 | − | 1.99911i | ||||
\(675\) | 23.2227 | − | 1.51013i | 0.893843 | − | 0.0581248i | ||||
\(676\) | −5.44896 | −0.209575 | ||||||||
\(677\) | − | 3.23882i | − | 0.124478i | −0.998061 | − | 0.0622390i | \(-0.980176\pi\) | ||
0.998061 | − | 0.0622390i | \(-0.0198241\pi\) | |||||||
\(678\) | 1.68531 | + | 2.31963i | 0.0647238 | + | 0.0890847i | ||||
\(679\) | −6.68820 | + | 20.5842i | −0.256670 | + | 0.789948i | ||||
\(680\) | −89.6037 | − | 83.9662i | −3.43615 | − | 3.21996i | ||||
\(681\) | −5.79904 | −0.222220 | ||||||||
\(682\) | −48.7413 | − | 1.01749i | −1.86640 | − | 0.0389615i | ||||
\(683\) | − | 18.2974i | − | 0.700129i | −0.936726 | − | 0.350065i | \(-0.886160\pi\) | ||
0.936726 | − | 0.350065i | \(-0.113840\pi\) | |||||||
\(684\) | 15.5623 | + | 47.8959i | 0.595040 | + | 1.83134i | ||||
\(685\) | −22.6663 | + | 4.34855i | −0.866035 | + | 0.166150i | ||||
\(686\) | 42.2336 | − | 30.6845i | 1.61249 | − | 1.17154i | ||||
\(687\) | 5.30356i | 0.202343i | ||||||||
\(688\) | 29.3976i | 1.12077i | ||||||||
\(689\) | 0.375520 | − | 0.272831i | 0.0143062 | − | 0.0103940i | ||||
\(690\) | 1.09764 | − | 8.76285i | 0.0417864 | − | 0.333596i | ||||
\(691\) | 21.6103 | + | 15.7008i | 0.822096 | + | 0.597288i | 0.917312 | − | 0.398169i | \(-0.130354\pi\) |
−0.0952162 | + | 0.995457i | \(0.530354\pi\) | |||||||
\(692\) | −31.9092 | + | 10.3679i | −1.21301 | + | 0.394129i | ||||
\(693\) | 7.89215 | + | 10.8626i | 0.299798 | + | 0.412637i | ||||
\(694\) | −23.1283 | − | 71.1815i | −0.877937 | − | 2.70201i | ||||
\(695\) | −5.98790 | − | 31.2112i | −0.227134 | − | 1.18391i | ||||
\(696\) | 10.3410 | + | 7.51319i | 0.391975 | + | 0.284787i | ||||
\(697\) | 43.6837 | + | 14.1937i | 1.65464 | + | 0.537624i | ||||
\(698\) | 7.11979 | + | 2.31336i | 0.269488 | + | 0.0875619i | ||||
\(699\) | 5.08785 | + | 3.69654i | 0.192440 | + | 0.139816i | ||||
\(700\) | 36.4104 | − | 30.2506i | 1.37618 | − | 1.14336i | ||||
\(701\) | −6.17280 | − | 18.9979i | −0.233144 | − | 0.717542i | −0.997362 | − | 0.0725849i | \(-0.976875\pi\) |
0.764219 | − | 0.644957i | \(-0.223125\pi\) | |||||||
\(702\) | 25.1708 | + | 34.6446i | 0.950010 | + | 1.30758i | ||||
\(703\) | −34.1835 | + | 11.1069i | −1.28926 | + | 0.418905i | ||||
\(704\) | 42.7022 | + | 31.0249i | 1.60940 | + | 1.16930i | ||||
\(705\) | 7.43740 | + | 0.931611i | 0.280109 | + | 0.0350865i | ||||
\(706\) | −51.1314 | + | 37.1492i | −1.92436 | + | 1.39813i | ||||
\(707\) | − | 7.19713i | − | 0.270676i | ||||||
\(708\) | 13.2455i | 0.497795i | ||||||||
\(709\) | 0.0741207 | − | 0.0538519i | 0.00278366 | − | 0.00202245i | −0.586393 | − | 0.810027i | \(-0.699452\pi\) |
0.589176 | + | 0.808005i | \(0.299452\pi\) | |||||||
\(710\) | −86.4414 | + | 16.5839i | −3.24409 | + | 0.622382i | ||||
\(711\) | −4.78793 | − | 14.7357i | −0.179561 | − | 0.552633i | ||||
\(712\) | − | 1.00673i | − | 0.0377286i | ||||||
\(713\) | 9.21819 | + | 0.192432i | 0.345224 | + | 0.00720662i | ||||
\(714\) | 29.5151 | 1.10457 | ||||||||
\(715\) | 17.3603 | − | 18.5258i | 0.649237 | − | 0.692827i | ||||
\(716\) | 1.71302 | − | 5.27213i | 0.0640185 | − | 0.197029i | ||||
\(717\) | 10.5906 | + | 14.5767i | 0.395512 | + | 0.544375i | ||||
\(718\) | 9.33690i | 0.348450i | ||||||||
\(719\) | −1.90087 | −0.0708905 | −0.0354453 | − | 0.999372i | \(-0.511285\pi\) | ||||
−0.0354453 | + | 0.999372i | \(0.511285\pi\) | |||||||
\(720\) | 24.5834 | − | 52.3855i | 0.916170 | − | 1.95229i | ||||
\(721\) | −14.0354 | − | 10.1973i | −0.522707 | − | 0.379769i | ||||
\(722\) | −1.90003 | + | 2.61516i | −0.0707117 | + | 0.0973263i | ||||
\(723\) | −23.6116 | + | 7.67188i | −0.878125 | + | 0.285320i | ||||
\(724\) | −46.0808 | + | 33.4797i | −1.71258 | + | 1.24426i | ||||
\(725\) | −8.38983 | − | 2.13533i | −0.311590 | − | 0.0793041i | ||||
\(726\) | 0.143295 | − | 0.441016i | 0.00531817 | − | 0.0163676i | ||||
\(727\) | 22.8848 | − | 31.4982i | 0.848750 | − | 1.16820i | −0.135387 | − | 0.990793i | \(-0.543228\pi\) |
0.984137 | − | 0.177411i | \(-0.0567723\pi\) | |||||||
\(728\) | 50.3262 | + | 16.3520i | 1.86521 | + | 0.606044i | ||||
\(729\) | −2.21407 | + | 6.81421i | −0.0820027 | + | 0.252378i | ||||
\(730\) | 21.4649 | + | 2.68870i | 0.794451 | + | 0.0995133i | ||||
\(731\) | 5.13984 | − | 15.8188i | 0.190104 | − | 0.585079i | ||||
\(732\) | 60.3667 | − | 19.6143i | 2.23122 | − | 0.724966i | ||||
\(733\) | −0.0979268 | − | 0.134785i | −0.00361701 | − | 0.00497839i | 0.807205 | − | 0.590272i | \(-0.200979\pi\) |
−0.810822 | + | 0.585293i | \(0.800979\pi\) | |||||||
\(734\) | −5.96130 | − | 18.3470i | −0.220035 | − | 0.677200i | ||||
\(735\) | 0.882781 | − | 7.04757i | 0.0325619 | − | 0.259953i | ||||
\(736\) | −19.9176 | − | 14.4710i | −0.734173 | − | 0.533408i | ||||
\(737\) | −4.05448 | − | 5.58052i | −0.149349 | − | 0.205561i | ||||
\(738\) | 40.3823i | 1.48649i | ||||||||
\(739\) | −13.9508 | −0.513189 | −0.256594 | − | 0.966519i | \(-0.582600\pi\) | ||||
−0.256594 | + | 0.966519i | \(0.582600\pi\) | |||||||
\(740\) | 82.4574 | + | 38.6956i | 3.03120 | + | 1.42248i | ||||
\(741\) | −4.29664 | + | 13.2237i | −0.157841 | + | 0.485785i | ||||
\(742\) | 0.632550 | − | 0.205528i | 0.0232217 | − | 0.00754517i | ||||
\(743\) | − | 35.9763i | − | 1.31984i | −0.751335 | − | 0.659921i | \(-0.770590\pi\) | ||
0.751335 | − | 0.659921i | \(-0.229410\pi\) | |||||||
\(744\) | −38.8177 | − | 13.5146i | −1.42313 | − | 0.495471i | ||||
\(745\) | 33.4172 | − | 18.4171i | 1.22431 | − | 0.674750i | ||||
\(746\) | 16.6394 | + | 51.2107i | 0.609210 | + | 1.87496i | ||||
\(747\) | −5.96669 | − | 1.93869i | −0.218310 | − | 0.0709331i | ||||
\(748\) | −65.5726 | − | 90.2529i | −2.39757 | − | 3.29997i | ||||
\(749\) | −26.8126 | −0.979711 | ||||||||
\(750\) | 1.59027 | − | 26.6172i | 0.0580683 | − | 0.971924i | ||||
\(751\) | −10.4232 | + | 7.57291i | −0.380348 | + | 0.276339i | −0.761489 | − | 0.648178i | \(-0.775531\pi\) |
0.381141 | + | 0.924517i | \(0.375531\pi\) | |||||||
\(752\) | 25.9054 | − | 35.6558i | 0.944674 | − | 1.30023i | ||||
\(753\) | −1.30063 | + | 1.79017i | −0.0473977 | + | 0.0652374i | ||||
\(754\) | −4.92281 | − | 15.1509i | −0.179278 | − | 0.551762i | ||||
\(755\) | −4.19124 | + | 8.93123i | −0.152535 | + | 0.325041i | ||||
\(756\) | 13.6168 | + | 41.9082i | 0.495238 | + | 1.52418i | ||||
\(757\) | 30.8440 | + | 10.0218i | 1.12105 | + | 0.364250i | 0.810167 | − | 0.586200i | \(-0.199377\pi\) |
0.310879 | + | 0.950449i | \(0.399377\pi\) | |||||||
\(758\) | −19.0294 | + | 26.1918i | −0.691180 | + | 0.951328i | ||||
\(759\) | 1.50612 | − | 4.63537i | 0.0546688 | − | 0.168253i | ||||
\(760\) | 81.4059 | − | 15.6178i | 2.95290 | − | 0.566518i | ||||
\(761\) | 15.5262 | + | 11.2805i | 0.562825 | + | 0.408916i | 0.832492 | − | 0.554038i | \(-0.186914\pi\) |
−0.269667 | + | 0.962954i | \(0.586914\pi\) | |||||||
\(762\) | −37.4684 | − | 12.1742i | −1.35734 | − | 0.441025i | ||||
\(763\) | 22.4073 | − | 7.28058i | 0.811200 | − | 0.263575i | ||||
\(764\) | 4.67009 | − | 3.39302i | 0.168958 | − | 0.122755i | ||||
\(765\) | −22.3873 | + | 23.8904i | −0.809413 | + | 0.863757i | ||||
\(766\) | −45.0088 | − | 32.7008i | −1.62624 | − | 1.18153i | ||||
\(767\) | 5.89450 | − | 8.11309i | 0.212838 | − | 0.292947i | ||||
\(768\) | 1.37607 | + | 1.89400i | 0.0496546 | + | 0.0683437i | ||||
\(769\) | 28.0561 | 1.01173 | 0.505864 | − | 0.862613i | \(-0.331174\pi\) | ||||
0.505864 | + | 0.862613i | \(0.331174\pi\) | |||||||
\(770\) | 31.8609 | − | 17.5594i | 1.14819 | − | 0.632796i | ||||
\(771\) | −7.53853 | + | 5.47706i | −0.271494 | + | 0.197252i | ||||
\(772\) | 84.1462 | + | 27.3407i | 3.02849 | + | 0.984015i | ||||
\(773\) | 40.7436 | − | 13.2384i | 1.46545 | − | 0.476152i | 0.535718 | − | 0.844397i | \(-0.320041\pi\) |
0.929729 | + | 0.368245i | \(0.120041\pi\) | |||||||
\(774\) | 14.6233 | 0.525623 | ||||||||
\(775\) | 27.8118 | − | 1.22630i | 0.999029 | − | 0.0440501i | ||||
\(776\) | 96.0436 | 3.44776 | ||||||||
\(777\) | −12.6488 | + | 4.10983i | −0.453772 | + | 0.147439i | ||||
\(778\) | 58.8038 | + | 19.1065i | 2.10822 | + | 0.685002i | ||||
\(779\) | −25.0834 | + | 18.2242i | −0.898707 | + | 0.652949i | ||||
\(780\) | 30.8596 | − | 17.0075i | 1.10495 | − | 0.608967i | ||||
\(781\) | −48.5761 | −1.73819 | ||||||||
\(782\) | 17.2691 | + | 23.7689i | 0.617542 | + | 0.849974i | ||||
\(783\) | 4.73686 | − | 6.51973i | 0.169282 | − | 0.232996i | ||||
\(784\) | −33.7869 | − | 24.5476i | −1.20667 | − | 0.876700i | ||||
\(785\) | 0.393235 | − | 0.419637i | 0.0140352 | − | 0.0149775i | ||||
\(786\) | −26.6300 | + | 19.3478i | −0.949860 | + | 0.690113i | ||||
\(787\) | −45.9579 | + | 14.9326i | −1.63822 | + | 0.532291i | −0.976140 | − | 0.217141i | \(-0.930327\pi\) |
−0.662082 | + | 0.749432i | \(0.730327\pi\) | |||||||
\(788\) | −37.3551 | − | 12.1374i | −1.33072 | − | 0.432377i | ||||
\(789\) | −3.80130 | − | 2.76181i | −0.135330 | − | 0.0983230i | ||||
\(790\) | −41.2281 | + | 7.90966i | −1.46683 | + | 0.281413i | ||||
\(791\) | 0.690269 | − | 2.12443i | 0.0245431 | − | 0.0755360i | ||||
\(792\) | 35.0217 | − | 48.2032i | 1.24444 | − | 1.71283i | ||||
\(793\) | −45.7045 | − | 14.8503i | −1.62301 | − | 0.527349i | ||||
\(794\) | 2.07913 | + | 6.39890i | 0.0737855 | + | 0.227088i | ||||
\(795\) | 0.114297 | − | 0.243559i | 0.00405370 | − | 0.00863814i | ||||
\(796\) | −26.1007 | − | 80.3298i | −0.925116 | − | 2.84721i | ||||
\(797\) | −20.5480 | + | 28.2818i | −0.727846 | + | 1.00179i | 0.271381 | + | 0.962472i | \(0.412520\pi\) |
−0.999227 | + | 0.0393217i | \(0.987480\pi\) | |||||||
\(798\) | −11.7106 | + | 16.1183i | −0.414551 | + | 0.570580i | ||||
\(799\) | −20.1736 | + | 14.6570i | −0.713692 | + | 0.518528i | ||||
\(800\) | −62.8464 | − | 39.6982i | −2.22196 | − | 1.40354i | ||||
\(801\) | −0.268415 | −0.00948399 | ||||||||
\(802\) | −32.8652 | − | 45.2351i | −1.16051 | − | 1.59731i | ||||
\(803\) | 11.3545 | + | 3.68929i | 0.400691 | + | 0.130192i | ||||
\(804\) | −2.95832 | − | 9.10477i | −0.104332 | − | 0.321100i | ||||
\(805\) | −6.02569 | + | 3.32091i | −0.212378 | + | 0.117047i | ||||
\(806\) | 29.2390 | + | 42.0630i | 1.02990 | + | 1.48160i | ||||
\(807\) | 10.8131i | 0.380640i | ||||||||
\(808\) | −30.3743 | + | 9.86922i | −1.06856 | + | 0.347198i | ||||
\(809\) | 7.51873 | − | 23.1403i | 0.264345 | − | 0.813569i | −0.727499 | − | 0.686109i | \(-0.759317\pi\) |
0.991844 | − | 0.127460i | \(-0.0406825\pi\) | |||||||
\(810\) | −13.0904 | − | 6.14307i | −0.459951 | − | 0.215845i | ||||
\(811\) | 16.9991 | 0.596917 | 0.298459 | − | 0.954423i | \(-0.403527\pi\) | ||||
0.298459 | + | 0.954423i | \(0.403527\pi\) | |||||||
\(812\) | − | 16.3925i | − | 0.575264i | ||||||
\(813\) | 2.62419 | + | 3.61188i | 0.0920343 | + | 0.126674i | ||||
\(814\) | 56.6315 | + | 41.1452i | 1.98493 | + | 1.44214i | ||||
\(815\) | 5.37427 | − | 42.9048i | 0.188252 | − | 1.50289i | ||||
\(816\) | −21.6936 | − | 66.7661i | −0.759428 | − | 2.33728i | ||||
\(817\) | 6.59937 | + | 9.08325i | 0.230883 | + | 0.317783i | ||||
\(818\) | −11.6523 | + | 3.78606i | −0.407413 | + | 0.132377i | ||||
\(819\) | 4.35980 | − | 13.4181i | 0.152344 | − | 0.468866i | ||||
\(820\) | 77.9628 | + | 9.76565i | 2.72258 | + | 0.341031i | ||||
\(821\) | 7.15539 | − | 22.0220i | 0.249725 | − | 0.768574i | −0.745099 | − | 0.666954i | \(-0.767598\pi\) |
0.994823 | − | 0.101620i | \(-0.0324024\pi\) | |||||||
\(822\) | −23.4117 | − | 7.60692i | −0.816576 | − | 0.265322i | ||||
\(823\) | −21.2504 | + | 29.2486i | −0.740741 | + | 1.01954i | 0.257835 | + | 0.966189i | \(0.416991\pi\) |
−0.998576 | + | 0.0533536i | \(0.983009\pi\) | |||||||
\(824\) | −23.7898 | + | 73.2176i | −0.828759 | + | 2.55066i | ||||
\(825\) | 3.62970 | − | 14.2613i | 0.126370 | − | 0.496515i | ||||
\(826\) | 11.6252 | − | 8.44619i | 0.404492 | − | 0.293881i | ||||
\(827\) | 17.6056 | − | 5.72041i | 0.612208 | − | 0.198918i | 0.0135301 | − | 0.999908i | \(-0.495693\pi\) |
0.598678 | + | 0.800990i | \(0.295693\pi\) | |||||||
\(828\) | −10.9031 | + | 15.0068i | −0.378908 | + | 0.521522i | ||||
\(829\) | 22.6813 | + | 16.4789i | 0.787752 | + | 0.572336i | 0.907296 | − | 0.420493i | \(-0.138143\pi\) |
−0.119543 | + | 0.992829i | \(0.538143\pi\) | |||||||
\(830\) | −7.22131 | + | 15.3881i | −0.250655 | + | 0.534128i | ||||
\(831\) | −14.9931 | −0.520106 | ||||||||
\(832\) | − | 55.4625i | − | 1.92282i | ||||||
\(833\) | 13.8888 | + | 19.1162i | 0.481217 | + | 0.662339i | ||||
\(834\) | 10.4746 | − | 32.2376i | 0.362707 | − | 1.11630i | ||||
\(835\) | 29.5692 | − | 31.5545i | 1.02328 | − | 1.09199i | ||||
\(836\) | 75.3044 | 2.60446 | ||||||||
\(837\) | −8.52061 | + | 24.4735i | −0.294515 | + | 0.845928i | ||||
\(838\) | − | 18.8386i | − | 0.650769i | ||||||
\(839\) | −10.7807 | − | 33.1795i | −0.372190 | − | 1.14548i | −0.945355 | − | 0.326044i | \(-0.894284\pi\) |
0.573164 | − | 0.819441i | \(-0.305716\pi\) | |||||||
\(840\) | 30.1222 | − | 5.77898i | 1.03932 | − | 0.199394i | ||||
\(841\) | 21.0361 | − | 15.2836i | 0.725383 | − | 0.527021i | ||||
\(842\) | 55.7267i | 1.92047i | ||||||||
\(843\) | − | 7.81356i | − | 0.269113i | ||||||
\(844\) | 30.3933 | − | 22.0820i | 1.04618 | − | 0.760095i | ||||
\(845\) | 2.37270 | + | 0.297205i | 0.0816233 | + | 0.0102242i | ||||
\(846\) | −17.7363 | − | 12.8862i | −0.609785 | − | 0.443035i | ||||
\(847\) | −0.343582 | + | 0.111637i | −0.0118056 | + | 0.00383588i | ||||
\(848\) | −0.929849 | − | 1.27983i | −0.0319312 | − | 0.0439495i | ||||
\(849\) | 6.36812 | + | 19.5991i | 0.218553 | + | 0.672638i | ||||
\(850\) | 56.6882 | + | 68.2314i | 1.94439 | + | 2.34032i | ||||
\(851\) | −10.7104 | − | 7.78157i | −0.367148 | − | 0.266749i | ||||
\(852\) | −64.1172 | − | 20.8329i | −2.19662 | − | 0.713725i | ||||
\(853\) | −5.99461 | − | 1.94777i | −0.205252 | − | 0.0666903i | 0.204587 | − | 0.978848i | \(-0.434415\pi\) |
−0.409838 | + | 0.912158i | \(0.634415\pi\) | |||||||
\(854\) | −55.7088 | − | 40.4748i | −1.90632 | − | 1.38502i | ||||
\(855\) | −4.16406 | − | 21.7046i | −0.142408 | − | 0.742283i | ||||
\(856\) | 36.7674 | + | 113.158i | 1.25668 | + | 3.86767i | ||||
\(857\) | 20.2019 | + | 27.8056i | 0.690085 | + | 0.949820i | 1.00000 | 0.000944286i | \(-0.000300576\pi\) | |
−0.309915 | + | 0.950764i | \(0.600301\pi\) | |||||||
\(858\) | 25.7539 | − | 8.36795i | 0.879224 | − | 0.285677i | ||||
\(859\) | 20.1519 | + | 14.6412i | 0.687573 | + | 0.499551i | 0.875861 | − | 0.482563i | \(-0.160294\pi\) |
−0.188288 | + | 0.982114i | \(0.560294\pi\) | |||||||
\(860\) | 3.53635 | − | 28.2320i | 0.120589 | − | 0.962704i | ||||
\(861\) | −9.28149 | + | 6.74340i | −0.316312 | + | 0.229814i | ||||
\(862\) | − | 42.3598i | − | 1.44278i | ||||||
\(863\) | − | 11.7929i | − | 0.401436i | −0.979649 | − | 0.200718i | \(-0.935673\pi\) | ||
0.979649 | − | 0.200718i | \(-0.0643274\pi\) | |||||||
\(864\) | 55.9806 | − | 40.6723i | 1.90450 | − | 1.38370i | ||||
\(865\) | 14.4601 | − | 2.77418i | 0.491657 | − | 0.0943250i | ||||
\(866\) | 30.3256 | + | 93.3327i | 1.03051 | + | 3.17158i | ||||
\(867\) | 24.4985i | 0.832013i | ||||||||
\(868\) | 15.2392 | + | 50.4616i | 0.517253 | + | 1.71278i | ||||
\(869\) | −23.1683 | −0.785930 | ||||||||
\(870\) | −6.73778 | − | 6.31387i | −0.228432 | − | 0.214060i | ||||
\(871\) | −2.23979 | + | 6.89335i | −0.0758923 | + | 0.233572i | ||||
\(872\) | −61.4531 | − | 84.5829i | −2.08106 | − | 2.86434i | ||||
\(873\) | − | 25.6074i | − | 0.866678i | ||||||
\(874\) | −19.8321 | −0.670830 | ||||||||
\(875\) | −17.5045 | + | 11.1864i | −0.591761 | + | 0.378169i | ||||
\(876\) | 13.4049 | + | 9.73925i | 0.452911 | + | 0.329059i | ||||
\(877\) | −5.38952 | + | 7.41804i | −0.181991 | + | 0.250489i | −0.890259 | − | 0.455454i | \(-0.849477\pi\) |
0.708268 | + | 0.705944i | \(0.249477\pi\) | |||||||
\(878\) | −9.94102 | + | 3.23003i | −0.335493 | + | 0.109008i | ||||
\(879\) | 0.645457 | − | 0.468952i | 0.0217707 | − | 0.0158174i | ||||
\(880\) | −63.1388 | − | 59.1664i | −2.12841 | − | 1.99450i | ||||
\(881\) | 14.5534 | − | 44.7906i | 0.490315 | − | 1.50903i | −0.333818 | − | 0.942638i | \(-0.608337\pi\) |
0.824133 | − | 0.566397i | \(-0.191663\pi\) | |||||||
\(882\) | −12.2107 | + | 16.8066i | −0.411157 | + | 0.565909i | ||||
\(883\) | −29.4195 | − | 9.55898i | −0.990046 | − | 0.321685i | −0.231165 | − | 0.972915i | \(-0.574254\pi\) |
−0.758881 | + | 0.651229i | \(0.774254\pi\) | |||||||
\(884\) | −36.2237 | + | 111.485i | −1.21834 | + | 3.74965i | ||||
\(885\) | 0.722453 | − | 5.76761i | 0.0242850 | − | 0.193876i | ||||
\(886\) | 19.6033 | − | 60.3328i | 0.658586 | − | 2.02692i | ||||
\(887\) | 5.32476 | − | 1.73012i | 0.178788 | − | 0.0580917i | −0.218255 | − | 0.975892i | \(-0.570036\pi\) |
0.397043 | + | 0.917800i | \(0.370036\pi\) | |||||||
\(888\) | 34.6898 | + | 47.7464i | 1.16411 | + | 1.60226i | ||||
\(889\) | 9.48455 | + | 29.1905i | 0.318102 | + | 0.979017i | ||||
\(890\) | −0.0903894 | + | 0.721612i | −0.00302986 | + | 0.0241885i | ||||
\(891\) | −6.45628 | − | 4.69076i | −0.216294 | − | 0.157147i | ||||
\(892\) | −5.67476 | − | 7.81063i | −0.190005 | − | 0.261519i | ||||
\(893\) | − | 16.8323i | − | 0.563271i | ||||||
\(894\) | 40.6970 | 1.36111 | ||||||||
\(895\) | −1.03348 | + | 2.20227i | −0.0345454 | + | 0.0736137i | ||||
\(896\) | 7.48592 | − | 23.0393i | 0.250087 | − | 0.769689i | ||||
\(897\) | −4.87070 | + | 1.58259i | −0.162628 | + | 0.0528410i | ||||
\(898\) | 90.9691i | 3.03568i | ||||||||
\(899\) | 5.82800 | − | 7.67925i | 0.194375 | − | 0.256117i | ||||
\(900\) | −29.9103 | + | 47.3511i | −0.997011 | + | 1.57837i | ||||
\(901\) | 0.276586 | + | 0.851245i | 0.00921443 | + | 0.0283591i | ||||
\(902\) | 57.4282 | + | 18.6596i | 1.91215 | + | 0.621295i | ||||
\(903\) | 2.44193 | + | 3.36103i | 0.0812623 | + | 0.111848i | ||||
\(904\) | −9.91237 | −0.329680 | ||||||||
\(905\) | 21.8916 | − | 12.0650i | 0.727700 | − | 0.401054i | ||||
\(906\) | −8.51305 | + | 6.18510i | −0.282827 | + | 0.205486i | ||||
\(907\) | −17.5258 | + | 24.1222i | −0.581935 | + | 0.800965i | −0.993906 | − | 0.110232i | \(-0.964840\pi\) |
0.411971 | + | 0.911197i | \(0.364840\pi\) | |||||||
\(908\) | 19.3979 | − | 26.6990i | 0.643743 | − | 0.886036i | ||||
\(909\) | 2.63135 | + | 8.09847i | 0.0872765 | + | 0.268609i | ||||
\(910\) | −34.6052 | − | 16.2395i | −1.14715 | − | 0.538335i | ||||
\(911\) | −3.56185 | − | 10.9623i | −0.118010 | − | 0.363196i | 0.874553 | − | 0.484929i | \(-0.161155\pi\) |
−0.992563 | + | 0.121733i | \(0.961155\pi\) | |||||||
\(912\) | 45.0684 | + | 14.6436i | 1.49236 | + | 0.484899i | ||||
\(913\) | −5.51409 | + | 7.58950i | −0.182490 | + | 0.251176i | ||||
\(914\) | 11.8585 | − | 36.4968i | 0.392246 | − | 1.20721i | ||||
\(915\) | −27.3559 | + | 5.24827i | −0.904360 | + | 0.173502i | ||||
\(916\) | −24.4177 | − | 17.7405i | −0.806785 | − | 0.586164i | ||||
\(917\) | 24.3891 | + | 7.92449i | 0.805398 | + | 0.261690i | ||||
\(918\) | −78.5340 | + | 25.5172i | −2.59201 | + | 0.842195i | ||||
\(919\) | 12.5996 | − | 9.15417i | 0.415624 | − | 0.301968i | −0.360251 | − | 0.932855i | \(-0.617309\pi\) |
0.775875 | + | 0.630887i | \(0.217309\pi\) | |||||||
\(920\) | 22.2782 | + | 20.8766i | 0.734492 | + | 0.688281i | ||||
\(921\) | −7.13765 | − | 5.18581i | −0.235194 | − | 0.170878i | ||||
\(922\) | 0.889144 | − | 1.22380i | 0.0292824 | − | 0.0403038i | ||||
\(923\) | 30.0019 | + | 41.2940i | 0.987524 | + | 1.35921i | ||||
\(924\) | 27.8645 | 0.916675 | ||||||||
\(925\) | −33.7948 | − | 21.3472i | −1.11116 | − | 0.701890i | ||||
\(926\) | −88.3064 | + | 64.1584i | −2.90193 | + | 2.10837i | ||||
\(927\) | 19.5214 | + | 6.34290i | 0.641168 | + | 0.208328i | ||||
\(928\) | −24.4816 | + | 7.95454i | −0.803647 | + | 0.261121i | ||||
\(929\) | −15.0251 | −0.492956 | −0.246478 | − | 0.969148i | \(-0.579273\pi\) | ||||
−0.246478 | + | 0.969148i | \(0.579273\pi\) | |||||||
\(930\) | 26.6108 | + | 13.1725i | 0.872603 | + | 0.431942i | ||||
\(931\) | −15.9500 | −0.522741 | ||||||||
\(932\) | −34.0380 | + | 11.0596i | −1.11495 | + | 0.362270i | ||||
\(933\) | 1.66704 | + | 0.541655i | 0.0545765 | + | 0.0177330i | ||||
\(934\) | 37.9726 | − | 27.5887i | 1.24250 | − | 0.902729i | ||||
\(935\) | 23.6303 | + | 42.8764i | 0.772793 | + | 1.40221i | ||||
\(936\) | −62.6074 | −2.04639 | ||||||||
\(937\) | −13.1702 | − | 18.1272i | −0.430251 | − | 0.592190i | 0.537760 | − | 0.843098i | \(-0.319271\pi\) |
−0.968011 | + | 0.250908i | \(0.919271\pi\) | |||||||
\(938\) | −6.10459 | + | 8.40225i | −0.199322 | + | 0.274343i | ||||
\(939\) | −7.97195 | − | 5.79196i | −0.260155 | − | 0.189013i | ||||
\(940\) | −29.1674 | + | 31.1257i | −0.951337 | + | 1.01521i | ||||
\(941\) | 0.741142 | − | 0.538471i | 0.0241605 | − | 0.0175536i | −0.575639 | − | 0.817704i | \(-0.695247\pi\) |
0.599800 | + | 0.800150i | \(0.295247\pi\) | |||||||
\(942\) | 0.583364 | − | 0.189546i | 0.0190070 | − | 0.00617576i | ||||
\(943\) | −10.8611 | − | 3.52898i | −0.353686 | − | 0.114920i | ||||
\(944\) | −27.6506 | − | 20.0894i | −0.899951 | − | 0.653853i | ||||
\(945\) | −3.64349 | − | 18.9912i | −0.118523 | − | 0.617785i | ||||
\(946\) | 6.75703 | − | 20.7960i | 0.219690 | − | 0.676136i | ||||
\(947\) | −30.9788 | + | 42.6386i | −1.00668 | + | 1.38557i | −0.0855369 | + | 0.996335i | \(0.527261\pi\) |
−0.921139 | + | 0.389235i | \(0.872739\pi\) | |||||||
\(948\) | −30.5806 | − | 9.93624i | −0.993212 | − | 0.322714i | ||||
\(949\) | −3.87660 | − | 11.9309i | −0.125840 | − | 0.387295i | ||||
\(950\) | −59.7533 | + | 3.88564i | −1.93865 | + | 0.126067i | ||||
\(951\) | −0.677321 | − | 2.08458i | −0.0219636 | − | 0.0675972i | ||||
\(952\) | −59.9763 | + | 82.5503i | −1.94384 | + | 2.67547i | ||||
\(953\) | −11.0743 | + | 15.2425i | −0.358733 | + | 0.493754i | −0.949795 | − | 0.312872i | \(-0.898709\pi\) |
0.591062 | + | 0.806626i | \(0.298709\pi\) | |||||||
\(954\) | −0.636625 | + | 0.462535i | −0.0206115 | + | 0.0149751i | ||||
\(955\) | −2.21861 | + | 1.22274i | −0.0717926 | + | 0.0395668i | ||||
\(956\) | −102.537 | −3.31629 | ||||||||
\(957\) | −2.99536 | − | 4.12276i | −0.0968263 | − | 0.133270i | ||||
\(958\) | 9.76238 | + | 3.17199i | 0.315408 | + | 0.102482i | ||||
\(959\) | 5.92631 | + | 18.2393i | 0.191371 | + | 0.588978i | ||||
\(960\) | −15.5168 | − | 28.1548i | −0.500804 | − | 0.908693i | ||||
\(961\) | −10.8016 | + | 29.0573i | −0.348438 | + | 0.937332i | ||||
\(962\) | − | 73.5543i | − | 2.37148i | ||||||
\(963\) | 30.1705 | − | 9.80300i | 0.972232 | − | 0.315897i | ||||
\(964\) | 43.6598 | − | 134.371i | 1.40619 | − | 4.32780i | ||||
\(965\) | −35.1494 | − | 16.4949i | −1.13150 | − | 0.530990i | ||||
\(966\) | −7.33836 | −0.236108 | ||||||||
\(967\) | 17.4859i | 0.562309i | 0.959663 | + | 0.281154i | \(0.0907173\pi\) | ||||
−0.959663 | + | 0.281154i | \(0.909283\pi\) | |||||||
\(968\) | 0.942289 | + | 1.29695i | 0.0302863 | + | 0.0416855i | ||||
\(969\) | −21.6909 | − | 15.7594i | −0.696813 | − | 0.506264i | ||||
\(970\) | −68.8432 | − | 8.62333i | −2.21042 | − | 0.276878i | ||||
\(971\) | −1.47952 | − | 4.55350i | −0.0474801 | − | 0.146129i | 0.924506 | − | 0.381168i | \(-0.124478\pi\) |
−0.971986 | + | 0.235039i | \(0.924478\pi\) | |||||||
\(972\) | −48.3292 | − | 66.5194i | −1.55016 | − | 2.13361i | ||||
\(973\) | −25.1153 | + | 8.16045i | −0.805159 | + | 0.261612i | ||||
\(974\) | −14.2443 | + | 43.8393i | −0.456415 | + | 1.40470i | ||||
\(975\) | −14.3652 | + | 5.72258i | −0.460054 | + | 0.183269i | ||||
\(976\) | −50.6120 | + | 155.768i | −1.62005 | + | 4.98601i | ||||
\(977\) | 39.3491 | + | 12.7853i | 1.25889 | + | 0.409038i | 0.861098 | − | 0.508438i | \(-0.169777\pi\) |
0.397791 | + | 0.917476i | \(0.369777\pi\) | |||||||
\(978\) | 27.1083 | − | 37.3113i | 0.866826 | − | 1.19308i | ||||
\(979\) | −0.124028 | + | 0.381718i | −0.00396394 | + | 0.0121997i | ||||
\(980\) | 29.4943 | + | 27.6386i | 0.942161 | + | 0.882884i | ||||
\(981\) | −22.5517 | + | 16.3848i | −0.720020 | + | 0.523125i | ||||
\(982\) | −9.58501 | + | 3.11436i | −0.305870 | + | 0.0993832i | ||||
\(983\) | −22.2234 | + | 30.5879i | −0.708816 | + | 0.975602i | 0.291005 | + | 0.956721i | \(0.406010\pi\) |
−0.999822 | + | 0.0188805i | \(0.993990\pi\) | |||||||
\(984\) | 41.1869 | + | 29.9240i | 1.31299 | + | 0.953943i | ||||
\(985\) | 15.6039 | + | 7.32260i | 0.497182 | + | 0.233318i | ||||
\(986\) | 30.7188 | 0.978286 | ||||||||
\(987\) | − | 6.22837i | − | 0.198251i | ||||||
\(988\) | −46.5100 | − | 64.0155i | −1.47968 | − | 2.03660i | ||||
\(989\) | −1.27792 | + | 3.93304i | −0.0406355 | + | 0.125063i | ||||
\(990\) | −29.4312 | + | 31.4072i | −0.935384 | + | 0.998186i | ||||
\(991\) | −5.75887 | −0.182936 | −0.0914682 | − | 0.995808i | \(-0.529156\pi\) | ||||
−0.0914682 | + | 0.995808i | \(0.529156\pi\) | |||||||
\(992\) | 67.9676 | − | 47.2459i | 2.15797 | − | 1.50006i | ||||
\(993\) | − | 5.83329i | − | 0.185114i | ||||||
\(994\) | 22.6009 | + | 69.5584i | 0.716857 | + | 2.20626i | ||||
\(995\) | 6.98386 | + | 36.4025i | 0.221403 | + | 1.15404i | ||||
\(996\) | −10.5332 | + | 7.65279i | −0.333756 | + | 0.242488i | ||||
\(997\) | 9.69947i | 0.307185i | 0.988134 | + | 0.153593i | \(0.0490844\pi\) | ||||
−0.988134 | + | 0.153593i | \(0.950916\pi\) | |||||||
\(998\) | − | 19.4813i | − | 0.616670i | ||||||
\(999\) | 30.1028 | − | 21.8709i | 0.952409 | − | 0.691966i |
(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 | 155.2.n.a.4.14 | yes | 56 | |
5.2 | odd | 4 | 775.2.k.h.376.14 | 56 | |||
5.3 | odd | 4 | 775.2.k.h.376.1 | 56 | |||
5.4 | even | 2 | inner | 155.2.n.a.4.1 | ✓ | 56 | |
31.8 | even | 5 | inner | 155.2.n.a.39.1 | yes | 56 | |
155.8 | odd | 20 | 775.2.k.h.101.1 | 56 | |||
155.39 | even | 10 | inner | 155.2.n.a.39.14 | yes | 56 | |
155.132 | odd | 20 | 775.2.k.h.101.14 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
155.2.n.a.4.1 | ✓ | 56 | 5.4 | even | 2 | inner | |
155.2.n.a.4.14 | yes | 56 | 1.1 | even | 1 | trivial | |
155.2.n.a.39.1 | yes | 56 | 31.8 | even | 5 | inner | |
155.2.n.a.39.14 | yes | 56 | 155.39 | even | 10 | inner | |
775.2.k.h.101.1 | 56 | 155.8 | odd | 20 | |||
775.2.k.h.101.14 | 56 | 155.132 | odd | 20 | |||
775.2.k.h.376.1 | 56 | 5.3 | odd | 4 | |||
775.2.k.h.376.14 | 56 | 5.2 | odd | 4 |