Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,2,Mod(43,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.j (of order \(4\), degree \(2\), 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: | \(0.638803216170\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(9\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + \cdots + 512 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 67.5 | ||
Root | \(-0.480367 + 1.33013i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.67 |
Dual form | 80.2.j.b.43.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.307817 | − | 1.38031i | −0.217659 | − | 0.976025i | ||||
\(3\) | − | 2.85601i | − | 1.64892i | −0.565923 | − | 0.824458i | \(-0.691480\pi\) | ||
0.565923 | − | 0.824458i | \(-0.308520\pi\) | |||||||
\(4\) | −1.81050 | + | 0.849763i | −0.905249 | + | 0.424882i | ||||
\(5\) | 1.43498 | + | 1.71489i | 0.641741 | + | 0.766921i | ||||
\(6\) | −3.94217 | + | 0.879127i | −1.60938 | + | 0.358902i | ||||
\(7\) | −0.458895 | − | 0.458895i | −0.173446 | − | 0.173446i | 0.615046 | − | 0.788491i | \(-0.289138\pi\) |
−0.788491 | + | 0.615046i | \(0.789138\pi\) | |||||||
\(8\) | 1.73024 | + | 2.23747i | 0.611731 | + | 0.791066i | ||||
\(9\) | −5.15678 | −1.71893 | ||||||||
\(10\) | 1.92536 | − | 2.50858i | 0.608853 | − | 0.793283i | ||||
\(11\) | −0.492763 | − | 0.492763i | −0.148574 | − | 0.148574i | 0.628907 | − | 0.777481i | \(-0.283503\pi\) |
−0.777481 | + | 0.628907i | \(0.783503\pi\) | |||||||
\(12\) | 2.42693 | + | 5.17080i | 0.700594 | + | 1.49268i | ||||
\(13\) | 4.52109 | 1.25393 | 0.626963 | − | 0.779049i | \(-0.284298\pi\) | ||||
0.626963 | + | 0.779049i | \(0.284298\pi\) | |||||||
\(14\) | −0.492160 | + | 0.774671i | −0.131535 | + | 0.207040i | ||||
\(15\) | 4.89773 | − | 4.09831i | 1.26459 | − | 1.05818i | ||||
\(16\) | 2.55581 | − | 3.07699i | 0.638951 | − | 0.769247i | ||||
\(17\) | −3.12823 | − | 3.12823i | −0.758708 | − | 0.758708i | 0.217379 | − | 0.976087i | \(-0.430249\pi\) |
−0.976087 | + | 0.217379i | \(0.930249\pi\) | |||||||
\(18\) | 1.58734 | + | 7.11794i | 0.374140 | + | 1.67772i | ||||
\(19\) | 4.04508 | + | 4.04508i | 0.928005 | + | 0.928005i | 0.997577 | − | 0.0695721i | \(-0.0221634\pi\) |
−0.0695721 | + | 0.997577i | \(0.522163\pi\) | |||||||
\(20\) | −4.05527 | − | 1.88541i | −0.906786 | − | 0.421591i | ||||
\(21\) | −1.31061 | + | 1.31061i | −0.285998 | + | 0.285998i | ||||
\(22\) | −0.528484 | + | 0.831845i | −0.112673 | + | 0.177350i | ||||
\(23\) | −1.80660 | + | 1.80660i | −0.376701 | + | 0.376701i | −0.869911 | − | 0.493209i | \(-0.835824\pi\) |
0.493209 | + | 0.869911i | \(0.335824\pi\) | |||||||
\(24\) | 6.39024 | − | 4.94157i | 1.30440 | − | 1.00869i | ||||
\(25\) | −0.881683 | + | 4.92165i | −0.176337 | + | 0.984330i | ||||
\(26\) | −1.39167 | − | 6.24050i | −0.272928 | − | 1.22386i | ||||
\(27\) | 6.15978i | 1.18545i | ||||||||
\(28\) | 1.22078 | + | 0.440876i | 0.230706 | + | 0.0833177i | ||||
\(29\) | −3.83926 | + | 3.83926i | −0.712932 | + | 0.712932i | −0.967148 | − | 0.254215i | \(-0.918183\pi\) |
0.254215 | + | 0.967148i | \(0.418183\pi\) | |||||||
\(30\) | −7.16453 | − | 5.49885i | −1.30806 | − | 1.00395i | ||||
\(31\) | 0.139949i | 0.0251356i | 0.999921 | + | 0.0125678i | \(0.00400057\pi\) | ||||
−0.999921 | + | 0.0125678i | \(0.995999\pi\) | |||||||
\(32\) | −5.03391 | − | 2.58065i | −0.889878 | − | 0.456199i | ||||
\(33\) | −1.40733 | + | 1.40733i | −0.244985 | + | 0.244985i | ||||
\(34\) | −3.35500 | + | 5.28085i | −0.575378 | + | 0.905658i | ||||
\(35\) | 0.128450 | − | 1.44546i | 0.0217120 | − | 0.244327i | ||||
\(36\) | 9.33634 | − | 4.38204i | 1.55606 | − | 0.730340i | ||||
\(37\) | 5.84330 | 0.960633 | 0.480317 | − | 0.877095i | \(-0.340522\pi\) | ||||
0.480317 | + | 0.877095i | \(0.340522\pi\) | |||||||
\(38\) | 4.33831 | − | 6.82860i | 0.703767 | − | 1.10774i | ||||
\(39\) | − | 12.9123i | − | 2.06762i | ||||||
\(40\) | −1.35417 | + | 6.17788i | −0.214113 | + | 0.976809i | ||||
\(41\) | 4.55648i | 0.711602i | 0.934562 | + | 0.355801i | \(0.115792\pi\) | ||||
−0.934562 | + | 0.355801i | \(0.884208\pi\) | |||||||
\(42\) | 2.21247 | + | 1.40561i | 0.341391 | + | 0.216891i | ||||
\(43\) | −7.49928 | −1.14363 | −0.571815 | − | 0.820383i | \(-0.693760\pi\) | ||||
−0.571815 | + | 0.820383i | \(0.693760\pi\) | |||||||
\(44\) | 1.31088 | + | 0.473414i | 0.197622 | + | 0.0713699i | ||||
\(45\) | −7.39986 | − | 8.84330i | −1.10311 | − | 1.31828i | ||||
\(46\) | 3.04976 | + | 1.93756i | 0.449662 | + | 0.285677i | ||||
\(47\) | −4.14073 | + | 4.14073i | −0.603987 | + | 0.603987i | −0.941368 | − | 0.337381i | \(-0.890459\pi\) |
0.337381 | + | 0.941368i | \(0.390459\pi\) | |||||||
\(48\) | −8.78790 | − | 7.29940i | −1.26842 | − | 1.05358i | ||||
\(49\) | − | 6.57883i | − | 0.939833i | ||||||
\(50\) | 7.06479 | − | 0.297972i | 0.999112 | − | 0.0421396i | ||||
\(51\) | −8.93426 | + | 8.93426i | −1.25105 | + | 1.25105i | ||||
\(52\) | −8.18543 | + | 3.84186i | −1.13511 | + | 0.532770i | ||||
\(53\) | − | 2.75773i | − | 0.378803i | −0.981900 | − | 0.189402i | \(-0.939345\pi\) | ||
0.981900 | − | 0.189402i | \(-0.0606548\pi\) | |||||||
\(54\) | 8.50239 | − | 1.89608i | 1.15703 | − | 0.258024i | ||||
\(55\) | 0.137930 | − | 1.55214i | 0.0185985 | − | 0.209290i | ||||
\(56\) | 0.232768 | − | 1.82076i | 0.0311050 | − | 0.243309i | ||||
\(57\) | 11.5528 | − | 11.5528i | 1.53020 | − | 1.53020i | ||||
\(58\) | 6.48115 | + | 4.11757i | 0.851016 | + | 0.540663i | ||||
\(59\) | −3.62521 | + | 3.62521i | −0.471962 | + | 0.471962i | −0.902549 | − | 0.430587i | \(-0.858306\pi\) |
0.430587 | + | 0.902549i | \(0.358306\pi\) | |||||||
\(60\) | −5.38475 | + | 11.5819i | −0.695168 | + | 1.49522i | ||||
\(61\) | 3.72781 | + | 3.72781i | 0.477298 | + | 0.477298i | 0.904266 | − | 0.426969i | \(-0.140419\pi\) |
−0.426969 | + | 0.904266i | \(0.640419\pi\) | |||||||
\(62\) | 0.193173 | − | 0.0430787i | 0.0245330 | − | 0.00547100i | ||||
\(63\) | 2.36642 | + | 2.36642i | 0.298141 | + | 0.298141i | ||||
\(64\) | −2.01257 | + | 7.74271i | −0.251571 | + | 0.967839i | ||||
\(65\) | 6.48766 | + | 7.75317i | 0.804696 | + | 0.961662i | ||||
\(66\) | 2.37576 | + | 1.50935i | 0.292435 | + | 0.185789i | ||||
\(67\) | 3.32677 | 0.406430 | 0.203215 | − | 0.979134i | \(-0.434861\pi\) | ||||
0.203215 | + | 0.979134i | \(0.434861\pi\) | |||||||
\(68\) | 8.32192 | + | 3.00540i | 1.00918 | + | 0.364459i | ||||
\(69\) | 5.15965 | + | 5.15965i | 0.621149 | + | 0.621149i | ||||
\(70\) | −2.03471 | + | 0.267635i | −0.243195 | + | 0.0319885i | ||||
\(71\) | 1.37056 | 0.162655 | 0.0813275 | − | 0.996687i | \(-0.474084\pi\) | ||||
0.0813275 | + | 0.996687i | \(0.474084\pi\) | |||||||
\(72\) | −8.92244 | − | 11.5382i | −1.05152 | − | 1.35978i | ||||
\(73\) | −2.55028 | − | 2.55028i | −0.298488 | − | 0.298488i | 0.541933 | − | 0.840422i | \(-0.317693\pi\) |
−0.840422 | + | 0.541933i | \(0.817693\pi\) | |||||||
\(74\) | −1.79867 | − | 8.06556i | −0.209091 | − | 0.937602i | ||||
\(75\) | 14.0563 | + | 2.51809i | 1.62308 | + | 0.290764i | ||||
\(76\) | −10.7610 | − | 3.88625i | −1.23437 | − | 0.445783i | ||||
\(77\) | 0.452252i | 0.0515389i | ||||||||
\(78\) | −17.8229 | + | 3.97461i | −2.01805 | + | 0.450036i | ||||
\(79\) | −3.86426 | −0.434763 | −0.217382 | − | 0.976087i | \(-0.569752\pi\) | ||||
−0.217382 | + | 0.976087i | \(0.569752\pi\) | |||||||
\(80\) | 8.94421 | − | 0.0324871i | 0.999993 | − | 0.00363216i | ||||
\(81\) | 2.12204 | 0.235782 | ||||||||
\(82\) | 6.28934 | − | 1.40256i | 0.694541 | − | 0.154887i | ||||
\(83\) | − | 14.4698i | − | 1.58827i | −0.607744 | − | 0.794133i | \(-0.707925\pi\) | ||
0.607744 | − | 0.794133i | \(-0.292075\pi\) | |||||||
\(84\) | 1.25915 | − | 3.48655i | 0.137384 | − | 0.380414i | ||||
\(85\) | 0.875628 | − | 9.85351i | 0.0949752 | − | 1.06876i | ||||
\(86\) | 2.30840 | + | 10.3513i | 0.248922 | + | 1.11621i | ||||
\(87\) | 10.9650 | + | 10.9650i | 1.17557 | + | 1.17557i | ||||
\(88\) | 0.249948 | − | 1.95514i | 0.0266445 | − | 0.208419i | ||||
\(89\) | −3.35011 | −0.355111 | −0.177556 | − | 0.984111i | \(-0.556819\pi\) | ||||
−0.177556 | + | 0.984111i | \(0.556819\pi\) | |||||||
\(90\) | −9.92868 | + | 12.9362i | −1.04657 | + | 1.36359i | ||||
\(91\) | −2.07470 | − | 2.07470i | −0.217488 | − | 0.217488i | ||||
\(92\) | 1.73566 | − | 4.80602i | 0.180955 | − | 0.501062i | ||||
\(93\) | 0.399696 | 0.0414466 | ||||||||
\(94\) | 6.99006 | + | 4.44089i | 0.720970 | + | 0.458043i | ||||
\(95\) | −1.13226 | + | 12.7415i | −0.116168 | + | 1.30725i | ||||
\(96\) | −7.37035 | + | 14.3769i | −0.752234 | + | 1.46733i | ||||
\(97\) | −4.95582 | − | 4.95582i | −0.503187 | − | 0.503187i | 0.409240 | − | 0.912427i | \(-0.365794\pi\) |
−0.912427 | + | 0.409240i | \(0.865794\pi\) | |||||||
\(98\) | −9.08081 | + | 2.02507i | −0.917300 | + | 0.204563i | ||||
\(99\) | 2.54107 | + | 2.54107i | 0.255387 | + | 0.255387i | ||||
\(100\) | −2.58595 | − | 9.65986i | −0.258595 | − | 0.965986i | ||||
\(101\) | −1.84536 | + | 1.84536i | −0.183621 | + | 0.183621i | −0.792931 | − | 0.609311i | \(-0.791446\pi\) |
0.609311 | + | 0.792931i | \(0.291446\pi\) | |||||||
\(102\) | 15.0821 | + | 9.58191i | 1.49335 | + | 0.948751i | ||||
\(103\) | −11.6655 | + | 11.6655i | −1.14944 | + | 1.14944i | −0.162773 | + | 0.986664i | \(0.552044\pi\) |
−0.986664 | + | 0.162773i | \(0.947956\pi\) | |||||||
\(104\) | 7.82256 | + | 10.1158i | 0.767065 | + | 0.991938i | ||||
\(105\) | −4.12823 | − | 0.366853i | −0.402874 | − | 0.0358012i | ||||
\(106\) | −3.80651 | + | 0.848874i | −0.369721 | + | 0.0824500i | ||||
\(107\) | − | 15.3106i | − | 1.48013i | −0.672534 | − | 0.740067i | \(-0.734794\pi\) | ||
0.672534 | − | 0.740067i | \(-0.265206\pi\) | |||||||
\(108\) | −5.23435 | − | 11.1523i | −0.503676 | − | 1.07313i | ||||
\(109\) | 12.4798 | − | 12.4798i | 1.19535 | − | 1.19535i | 0.219803 | − | 0.975544i | \(-0.429458\pi\) |
0.975544 | − | 0.219803i | \(-0.0705416\pi\) | |||||||
\(110\) | −2.18488 | + | 0.287388i | −0.208320 | + | 0.0274013i | ||||
\(111\) | − | 16.6885i | − | 1.58400i | ||||||
\(112\) | −2.58486 | + | 0.239168i | −0.244246 | + | 0.0225993i | ||||
\(113\) | 2.53557 | − | 2.53557i | 0.238526 | − | 0.238526i | −0.577713 | − | 0.816240i | \(-0.696055\pi\) |
0.816240 | + | 0.577713i | \(0.196055\pi\) | |||||||
\(114\) | −19.5025 | − | 12.3903i | −1.82658 | − | 1.16045i | ||||
\(115\) | −5.69053 | − | 0.505686i | −0.530645 | − | 0.0471555i | ||||
\(116\) | 3.68851 | − | 10.2134i | 0.342470 | − | 0.948293i | ||||
\(117\) | −23.3143 | −2.15541 | ||||||||
\(118\) | 6.11980 | + | 3.88800i | 0.563373 | + | 0.357919i | ||||
\(119\) | 2.87106i | 0.263189i | ||||||||
\(120\) | 17.6441 | + | 3.86751i | 1.61068 | + | 0.353054i | ||||
\(121\) | − | 10.5144i | − | 0.955852i | ||||||
\(122\) | 3.99805 | − | 6.29301i | 0.361966 | − | 0.569743i | ||||
\(123\) | 13.0133 | 1.17337 | ||||||||
\(124\) | −0.118924 | − | 0.253378i | −0.0106797 | − | 0.0227540i | ||||
\(125\) | −9.70527 | + | 5.55047i | −0.868066 | + | 0.496449i | ||||
\(126\) | 2.53796 | − | 3.99481i | 0.226100 | − | 0.355886i | ||||
\(127\) | −0.615790 | + | 0.615790i | −0.0546426 | + | 0.0546426i | −0.733900 | − | 0.679257i | \(-0.762302\pi\) |
0.679257 | + | 0.733900i | \(0.262302\pi\) | |||||||
\(128\) | 11.3068 | + | 0.394630i | 0.999391 | + | 0.0348807i | ||||
\(129\) | 21.4180i | 1.88575i | ||||||||
\(130\) | 8.70475 | − | 11.3415i | 0.763457 | − | 0.994718i | ||||
\(131\) | 9.55413 | − | 9.55413i | 0.834748 | − | 0.834748i | −0.153414 | − | 0.988162i | \(-0.549027\pi\) |
0.988162 | + | 0.153414i | \(0.0490268\pi\) | |||||||
\(132\) | 1.35208 | − | 3.74388i | 0.117683 | − | 0.325863i | ||||
\(133\) | − | 3.71253i | − | 0.321917i | ||||||
\(134\) | −1.02404 | − | 4.59197i | −0.0884632 | − | 0.396686i | ||||
\(135\) | −10.5633 | + | 8.83914i | −0.909147 | + | 0.760752i | ||||
\(136\) | 1.58676 | − | 12.4119i | 0.136063 | − | 1.06431i | ||||
\(137\) | −3.70277 | + | 3.70277i | −0.316349 | + | 0.316349i | −0.847363 | − | 0.531014i | \(-0.821811\pi\) |
0.531014 | + | 0.847363i | \(0.321811\pi\) | |||||||
\(138\) | 5.53368 | − | 8.71013i | 0.471058 | − | 0.741456i | ||||
\(139\) | 5.46761 | − | 5.46761i | 0.463756 | − | 0.463756i | −0.436128 | − | 0.899885i | \(-0.643651\pi\) |
0.899885 | + | 0.436128i | \(0.143651\pi\) | |||||||
\(140\) | 0.995737 | + | 2.72615i | 0.0841551 | + | 0.230401i | ||||
\(141\) | 11.8260 | + | 11.8260i | 0.995925 | + | 0.995925i | ||||
\(142\) | −0.421880 | − | 1.89179i | −0.0354034 | − | 0.158755i | ||||
\(143\) | −2.22783 | − | 2.22783i | −0.186300 | − | 0.186300i | ||||
\(144\) | −13.1797 | + | 15.8674i | −1.09831 | + | 1.32228i | ||||
\(145\) | −12.0931 | − | 1.07465i | −1.00428 | − | 0.0892450i | ||||
\(146\) | −2.73516 | + | 4.30520i | −0.226363 | + | 0.356301i | ||||
\(147\) | −18.7892 | −1.54971 | ||||||||
\(148\) | −10.5793 | + | 4.96542i | −0.869612 | + | 0.408155i | ||||
\(149\) | 4.21561 | + | 4.21561i | 0.345356 | + | 0.345356i | 0.858376 | − | 0.513021i | \(-0.171474\pi\) |
−0.513021 | + | 0.858376i | \(0.671474\pi\) | |||||||
\(150\) | −0.851010 | − | 20.1771i | −0.0694847 | − | 1.64745i | ||||
\(151\) | 12.4417 | 1.01249 | 0.506244 | − | 0.862390i | \(-0.331034\pi\) | ||||
0.506244 | + | 0.862390i | \(0.331034\pi\) | |||||||
\(152\) | −2.05181 | + | 16.0497i | −0.166424 | + | 1.30180i | ||||
\(153\) | 16.1316 | + | 16.1316i | 1.30416 | + | 1.30416i | ||||
\(154\) | 0.624247 | − | 0.139211i | 0.0503033 | − | 0.0112179i | ||||
\(155\) | −0.239997 | + | 0.200824i | −0.0192771 | + | 0.0161306i | ||||
\(156\) | 10.9724 | + | 23.3777i | 0.878493 | + | 1.87171i | ||||
\(157\) | 7.50500i | 0.598964i | 0.954102 | + | 0.299482i | \(0.0968138\pi\) | ||||
−0.954102 | + | 0.299482i | \(0.903186\pi\) | |||||||
\(158\) | 1.18948 | + | 5.33387i | 0.0946302 | + | 0.424340i | ||||
\(159\) | −7.87609 | −0.624615 | ||||||||
\(160\) | −2.79802 | − | 12.3358i | −0.221203 | − | 0.975228i | ||||
\(161\) | 1.65807 | 0.130675 | ||||||||
\(162\) | −0.653199 | − | 2.92907i | −0.0513202 | − | 0.230129i | ||||
\(163\) | 23.7284i | 1.85855i | 0.369383 | + | 0.929277i | \(0.379569\pi\) | ||||
−0.369383 | + | 0.929277i | \(0.620431\pi\) | |||||||
\(164\) | −3.87193 | − | 8.24949i | −0.302347 | − | 0.644177i | ||||
\(165\) | −4.43291 | − | 0.393929i | −0.345102 | − | 0.0306673i | ||||
\(166\) | −19.9728 | + | 4.45404i | −1.55019 | + | 0.345701i | ||||
\(167\) | −0.402976 | − | 0.402976i | −0.0311832 | − | 0.0311832i | 0.691343 | − | 0.722526i | \(-0.257019\pi\) |
−0.722526 | + | 0.691343i | \(0.757019\pi\) | |||||||
\(168\) | −5.20010 | − | 0.664788i | −0.401197 | − | 0.0512895i | ||||
\(169\) | 7.44028 | 0.572330 | ||||||||
\(170\) | −13.8704 | + | 1.82444i | −1.06381 | + | 0.139928i | ||||
\(171\) | −20.8596 | − | 20.8596i | −1.59517 | − | 1.59517i | ||||
\(172\) | 13.5774 | − | 6.37261i | 1.03527 | − | 0.485907i | ||||
\(173\) | −15.4500 | −1.17464 | −0.587320 | − | 0.809355i | \(-0.699817\pi\) | ||||
−0.587320 | + | 0.809355i | \(0.699817\pi\) | |||||||
\(174\) | 11.7598 | − | 18.5102i | 0.891509 | − | 1.40325i | ||||
\(175\) | 2.66312 | − | 1.85392i | 0.201313 | − | 0.140143i | ||||
\(176\) | −2.77563 | + | 0.256820i | −0.209221 | + | 0.0193585i | ||||
\(177\) | 10.3536 | + | 10.3536i | 0.778225 | + | 0.778225i | ||||
\(178\) | 1.03122 | + | 4.62419i | 0.0772932 | + | 0.346597i | ||||
\(179\) | 5.20444 | + | 5.20444i | 0.388998 | + | 0.388998i | 0.874330 | − | 0.485332i | \(-0.161301\pi\) |
−0.485332 | + | 0.874330i | \(0.661301\pi\) | |||||||
\(180\) | 20.9121 | + | 9.72265i | 1.55870 | + | 0.724684i | ||||
\(181\) | −9.08925 | + | 9.08925i | −0.675599 | + | 0.675599i | −0.959001 | − | 0.283402i | \(-0.908537\pi\) |
0.283402 | + | 0.959001i | \(0.408537\pi\) | |||||||
\(182\) | −2.22510 | + | 3.50236i | −0.164936 | + | 0.259612i | ||||
\(183\) | 10.6467 | − | 10.6467i | 0.787024 | − | 0.787024i | ||||
\(184\) | −7.16804 | − | 0.916372i | −0.528435 | − | 0.0675559i | ||||
\(185\) | 8.38500 | + | 10.0206i | 0.616478 | + | 0.736730i | ||||
\(186\) | −0.123033 | − | 0.551704i | −0.00902123 | − | 0.0404529i | ||||
\(187\) | 3.08295i | 0.225448i | ||||||||
\(188\) | 3.97814 | − | 11.0154i | 0.290136 | − | 0.803382i | ||||
\(189\) | 2.82669 | − | 2.82669i | 0.205611 | − | 0.205611i | ||||
\(190\) | 17.9357 | − | 2.35916i | 1.30119 | − | 0.171151i | ||||
\(191\) | 15.1075i | 1.09314i | 0.837413 | + | 0.546571i | \(0.184067\pi\) | ||||
−0.837413 | + | 0.546571i | \(0.815933\pi\) | |||||||
\(192\) | 22.1132 | + | 5.74791i | 1.59589 | + | 0.414820i | ||||
\(193\) | 4.19166 | − | 4.19166i | 0.301722 | − | 0.301722i | −0.539965 | − | 0.841687i | \(-0.681563\pi\) |
0.841687 | + | 0.539965i | \(0.181563\pi\) | |||||||
\(194\) | −5.31507 | + | 8.36604i | −0.381600 | + | 0.600647i | ||||
\(195\) | 22.1431 | − | 18.5288i | 1.58570 | − | 1.32688i | ||||
\(196\) | 5.59045 | + | 11.9110i | 0.399318 | + | 0.850783i | ||||
\(197\) | −4.03184 | −0.287256 | −0.143628 | − | 0.989632i | \(-0.545877\pi\) | ||||
−0.143628 | + | 0.989632i | \(0.545877\pi\) | |||||||
\(198\) | 2.72527 | − | 4.28964i | 0.193677 | − | 0.304852i | ||||
\(199\) | − | 5.43055i | − | 0.384961i | −0.981301 | − | 0.192481i | \(-0.938347\pi\) | ||
0.981301 | − | 0.192481i | \(-0.0616533\pi\) | |||||||
\(200\) | −12.5376 | + | 6.54287i | −0.886541 | + | 0.462651i | ||||
\(201\) | − | 9.50129i | − | 0.670169i | ||||||
\(202\) | 3.11520 | + | 1.97914i | 0.219185 | + | 0.139252i | ||||
\(203\) | 3.52363 | 0.247310 | ||||||||
\(204\) | 8.58345 | − | 23.7675i | 0.600962 | − | 1.66405i | ||||
\(205\) | −7.81385 | + | 6.53844i | −0.545743 | + | 0.456664i | ||||
\(206\) | 19.6928 | + | 12.5111i | 1.37206 | + | 0.871693i | ||||
\(207\) | 9.31622 | − | 9.31622i | 0.647522 | − | 0.647522i | ||||
\(208\) | 11.5550 | − | 13.9114i | 0.801197 | − | 0.964579i | ||||
\(209\) | − | 3.98653i | − | 0.275754i | ||||||
\(210\) | 0.764368 | + | 5.81115i | 0.0527464 | + | 0.401008i | ||||
\(211\) | 3.23020 | − | 3.23020i | 0.222376 | − | 0.222376i | −0.587122 | − | 0.809498i | \(-0.699739\pi\) |
0.809498 | + | 0.587122i | \(0.199739\pi\) | |||||||
\(212\) | 2.34342 | + | 4.99286i | 0.160946 | + | 0.342911i | ||||
\(213\) | − | 3.91432i | − | 0.268205i | ||||||
\(214\) | −21.1334 | + | 4.71286i | −1.44465 | + | 0.322165i | ||||
\(215\) | −10.7613 | − | 12.8604i | −0.733914 | − | 0.877074i | ||||
\(216\) | −13.7823 | + | 10.6579i | −0.937770 | + | 0.725176i | ||||
\(217\) | 0.0642220 | − | 0.0642220i | 0.00435967 | − | 0.00435967i | ||||
\(218\) | −21.0674 | − | 13.3845i | −1.42687 | − | 0.906511i | ||||
\(219\) | −7.28363 | + | 7.28363i | −0.492182 | + | 0.492182i | ||||
\(220\) | 1.06923 | + | 2.92735i | 0.0720872 | + | 0.197362i | ||||
\(221\) | −14.1430 | − | 14.1430i | −0.951363 | − | 0.951363i | ||||
\(222\) | −23.0353 | + | 5.13700i | −1.54603 | + | 0.344773i | ||||
\(223\) | −8.17319 | − | 8.17319i | −0.547317 | − | 0.547317i | 0.378347 | − | 0.925664i | \(-0.376493\pi\) |
−0.925664 | + | 0.378347i | \(0.876493\pi\) | |||||||
\(224\) | 1.12579 | + | 3.49428i | 0.0752199 | + | 0.233471i | ||||
\(225\) | 4.54664 | − | 25.3799i | 0.303110 | − | 1.69199i | ||||
\(226\) | −4.28035 | − | 2.71937i | −0.284725 | − | 0.180890i | ||||
\(227\) | −1.54068 | −0.102258 | −0.0511292 | − | 0.998692i | \(-0.516282\pi\) | ||||
−0.0511292 | + | 0.998692i | \(0.516282\pi\) | |||||||
\(228\) | −11.0992 | + | 30.7334i | −0.735060 | + | 2.03537i | ||||
\(229\) | −17.5646 | − | 17.5646i | −1.16070 | − | 1.16070i | −0.984322 | − | 0.176378i | \(-0.943562\pi\) |
−0.176378 | − | 0.984322i | \(-0.556438\pi\) | |||||||
\(230\) | 1.05364 | + | 8.01034i | 0.0694748 | + | 0.528186i | ||||
\(231\) | 1.29164 | 0.0849834 | ||||||||
\(232\) | −15.2331 | − | 1.94741i | −1.00010 | − | 0.127854i | ||||
\(233\) | 9.99018 | + | 9.99018i | 0.654479 | + | 0.654479i | 0.954068 | − | 0.299590i | \(-0.0968498\pi\) |
−0.299590 | + | 0.954068i | \(0.596850\pi\) | |||||||
\(234\) | 7.17652 | + | 32.1809i | 0.469144 | + | 2.10373i | ||||
\(235\) | −13.0427 | − | 1.15904i | −0.850814 | − | 0.0756072i | ||||
\(236\) | 3.48286 | − | 9.64399i | 0.226715 | − | 0.627771i | ||||
\(237\) | 11.0364i | 0.716889i | ||||||||
\(238\) | 3.96294 | − | 0.883759i | 0.256879 | − | 0.0572856i | ||||
\(239\) | 26.2762 | 1.69967 | 0.849833 | − | 0.527052i | \(-0.176703\pi\) | ||||
0.849833 | + | 0.527052i | \(0.176703\pi\) | |||||||
\(240\) | −0.0927833 | − | 25.5447i | −0.00598913 | − | 1.64891i | ||||
\(241\) | −0.113242 | −0.00729456 | −0.00364728 | − | 0.999993i | \(-0.501161\pi\) | ||||
−0.00364728 | + | 0.999993i | \(0.501161\pi\) | |||||||
\(242\) | −14.5131 | + | 3.23650i | −0.932935 | + | 0.208050i | ||||
\(243\) | 12.4188i | 0.796665i | ||||||||
\(244\) | −9.91696 | − | 3.58144i | −0.634868 | − | 0.229278i | ||||
\(245\) | 11.2820 | − | 9.44047i | 0.720778 | − | 0.603130i | ||||
\(246\) | −4.00572 | − | 17.9624i | −0.255395 | − | 1.14524i | ||||
\(247\) | 18.2882 | + | 18.2882i | 1.16365 | + | 1.16365i | ||||
\(248\) | −0.313133 | + | 0.242145i | −0.0198840 | + | 0.0153762i | ||||
\(249\) | −41.3258 | −2.61892 | ||||||||
\(250\) | 10.6488 | + | 11.6877i | 0.673489 | + | 0.739197i | ||||
\(251\) | 19.2220 | + | 19.2220i | 1.21328 | + | 1.21328i | 0.969941 | + | 0.243339i | \(0.0782427\pi\) |
0.243339 | + | 0.969941i | \(0.421757\pi\) | |||||||
\(252\) | −6.29529 | − | 2.27350i | −0.396566 | − | 0.143217i | ||||
\(253\) | 1.78045 | 0.111936 | ||||||||
\(254\) | 1.03953 | + | 0.660430i | 0.0652260 | + | 0.0414390i | ||||
\(255\) | −28.1417 | − | 2.50080i | −1.76230 | − | 0.156606i | ||||
\(256\) | −2.93572 | − | 15.7284i | −0.183482 | − | 0.983023i | ||||
\(257\) | −0.757800 | − | 0.757800i | −0.0472703 | − | 0.0472703i | 0.683077 | − | 0.730347i | \(-0.260642\pi\) |
−0.730347 | + | 0.683077i | \(0.760642\pi\) | |||||||
\(258\) | 29.5634 | − | 6.59282i | 1.84054 | − | 0.410451i | ||||
\(259\) | −2.68146 | − | 2.68146i | −0.166618 | − | 0.166618i | ||||
\(260\) | −18.3343 | − | 8.52412i | −1.13704 | − | 0.528643i | ||||
\(261\) | 19.7982 | − | 19.7982i | 1.22548 | − | 1.22548i | ||||
\(262\) | −16.1286 | − | 10.2467i | −0.996425 | − | 0.633044i | ||||
\(263\) | 5.73017 | − | 5.73017i | 0.353338 | − | 0.353338i | −0.508012 | − | 0.861350i | \(-0.669620\pi\) |
0.861350 | + | 0.508012i | \(0.169620\pi\) | |||||||
\(264\) | −5.58389 | − | 0.713852i | −0.343665 | − | 0.0439346i | ||||
\(265\) | 4.72919 | − | 3.95728i | 0.290512 | − | 0.243094i | ||||
\(266\) | −5.12443 | + | 1.14278i | −0.314199 | + | 0.0700682i | ||||
\(267\) | 9.56795i | 0.585549i | ||||||||
\(268\) | −6.02311 | + | 2.82697i | −0.367920 | + | 0.172685i | ||||
\(269\) | 9.78879 | − | 9.78879i | 0.596833 | − | 0.596833i | −0.342635 | − | 0.939468i | \(-0.611320\pi\) |
0.939468 | + | 0.342635i | \(0.111320\pi\) | |||||||
\(270\) | 15.4523 | + | 11.8598i | 0.940397 | + | 0.721765i | ||||
\(271\) | 4.10159i | 0.249154i | 0.992210 | + | 0.124577i | \(0.0397574\pi\) | ||||
−0.992210 | + | 0.124577i | \(0.960243\pi\) | |||||||
\(272\) | −17.6207 | + | 1.63038i | −1.06841 | + | 0.0988565i | ||||
\(273\) | −5.92537 | + | 5.92537i | −0.358620 | + | 0.358620i | ||||
\(274\) | 6.25074 | + | 3.97119i | 0.377621 | + | 0.239908i | ||||
\(275\) | 2.85967 | − | 1.99075i | 0.172444 | − | 0.120046i | ||||
\(276\) | −13.7260 | − | 4.95706i | −0.826209 | − | 0.298380i | ||||
\(277\) | 24.6755 | 1.48261 | 0.741305 | − | 0.671169i | \(-0.234207\pi\) | ||||
0.741305 | + | 0.671169i | \(0.234207\pi\) | |||||||
\(278\) | −9.23000 | − | 5.86396i | −0.553578 | − | 0.351697i | ||||
\(279\) | − | 0.721688i | − | 0.0432063i | ||||||
\(280\) | 3.45642 | − | 2.21358i | 0.206560 | − | 0.132286i | ||||
\(281\) | − | 23.6688i | − | 1.41196i | −0.708230 | − | 0.705981i | \(-0.750506\pi\) | ||
0.708230 | − | 0.705981i | \(-0.249494\pi\) | |||||||
\(282\) | 12.6832 | − | 19.9637i | 0.755275 | − | 1.18882i | ||||
\(283\) | 13.0492 | 0.775694 | 0.387847 | − | 0.921724i | \(-0.373219\pi\) | ||||
0.387847 | + | 0.921724i | \(0.373219\pi\) | |||||||
\(284\) | −2.48139 | + | 1.16465i | −0.147243 | + | 0.0691091i | ||||
\(285\) | 36.3897 | + | 3.23375i | 2.15554 | + | 0.191551i | ||||
\(286\) | −2.38932 | + | 3.76085i | −0.141284 | + | 0.222384i | ||||
\(287\) | 2.09094 | − | 2.09094i | 0.123424 | − | 0.123424i | ||||
\(288\) | 25.9588 | + | 13.3078i | 1.52963 | + | 0.784172i | ||||
\(289\) | 2.57168i | 0.151275i | ||||||||
\(290\) | 2.23912 | + | 17.0231i | 0.131486 | + | 0.999628i | ||||
\(291\) | −14.1539 | + | 14.1539i | −0.829714 | + | 0.829714i | ||||
\(292\) | 6.78442 | + | 2.45015i | 0.397028 | + | 0.143384i | ||||
\(293\) | 31.6731i | 1.85036i | 0.379526 | + | 0.925181i | \(0.376087\pi\) | ||||
−0.379526 | + | 0.925181i | \(0.623913\pi\) | |||||||
\(294\) | 5.78363 | + | 25.9349i | 0.337308 | + | 1.51255i | ||||
\(295\) | −11.4189 | − | 1.01474i | −0.664835 | − | 0.0590802i | ||||
\(296\) | 10.1103 | + | 13.0742i | 0.587649 | + | 0.759924i | ||||
\(297\) | 3.03531 | − | 3.03531i | 0.176127 | − | 0.176127i | ||||
\(298\) | 4.52120 | − | 7.11646i | 0.261906 | − | 0.412246i | ||||
\(299\) | −8.16779 | + | 8.16779i | −0.472355 | + | 0.472355i | ||||
\(300\) | −27.5886 | + | 7.38550i | −1.59283 | + | 0.426402i | ||||
\(301\) | 3.44138 | + | 3.44138i | 0.198358 | + | 0.198358i | ||||
\(302\) | −3.82975 | − | 17.1733i | −0.220377 | − | 0.988213i | ||||
\(303\) | 5.27037 | + | 5.27037i | 0.302775 | + | 0.302775i | ||||
\(304\) | 22.7851 | − | 2.10823i | 1.30682 | − | 0.120915i | ||||
\(305\) | −1.04346 | + | 11.7421i | −0.0597482 | + | 0.672351i | ||||
\(306\) | 17.3010 | − | 27.2322i | 0.989033 | − | 1.55676i | ||||
\(307\) | −27.3597 | −1.56150 | −0.780751 | − | 0.624843i | \(-0.785163\pi\) | ||||
−0.780751 | + | 0.624843i | \(0.785163\pi\) | |||||||
\(308\) | −0.384307 | − | 0.818802i | −0.0218979 | − | 0.0466556i | ||||
\(309\) | 33.3168 | + | 33.3168i | 1.89532 | + | 1.89532i | ||||
\(310\) | 0.351074 | + | 0.269453i | 0.0199397 | + | 0.0153039i | ||||
\(311\) | −15.8076 | −0.896368 | −0.448184 | − | 0.893941i | \(-0.647929\pi\) | ||||
−0.448184 | + | 0.893941i | \(0.647929\pi\) | |||||||
\(312\) | 28.8909 | − | 22.3413i | 1.63562 | − | 1.26483i | ||||
\(313\) | −13.8388 | − | 13.8388i | −0.782217 | − | 0.782217i | 0.197988 | − | 0.980205i | \(-0.436559\pi\) |
−0.980205 | + | 0.197988i | \(0.936559\pi\) | |||||||
\(314\) | 10.3592 | − | 2.31016i | 0.584604 | − | 0.130370i | ||||
\(315\) | −0.662387 | + | 7.45390i | −0.0373213 | + | 0.419980i | ||||
\(316\) | 6.99624 | − | 3.28371i | 0.393569 | − | 0.184723i | ||||
\(317\) | − | 35.0092i | − | 1.96631i | −0.182766 | − | 0.983156i | \(-0.558505\pi\) | ||
0.182766 | − | 0.983156i | \(-0.441495\pi\) | |||||||
\(318\) | 2.42439 | + | 10.8714i | 0.135953 | + | 0.609639i | ||||
\(319\) | 3.78369 | 0.211846 | ||||||||
\(320\) | −16.1659 | + | 7.65928i | −0.903700 | + | 0.428167i | ||||
\(321\) | −43.7272 | −2.44062 | ||||||||
\(322\) | −0.510383 | − | 2.28865i | −0.0284425 | − | 0.127542i | ||||
\(323\) | − | 25.3079i | − | 1.40817i | ||||||
\(324\) | −3.84195 | + | 1.80323i | −0.213442 | + | 0.100180i | ||||
\(325\) | −3.98617 | + | 22.2512i | −0.221113 | + | 1.23428i | ||||
\(326\) | 32.7525 | − | 7.30401i | 1.81400 | − | 0.404532i | ||||
\(327\) | −35.6424 | − | 35.6424i | −1.97103 | − | 1.97103i | ||||
\(328\) | −10.1950 | + | 7.88378i | −0.562924 | + | 0.435309i | ||||
\(329\) | 3.80032 | 0.209518 | ||||||||
\(330\) | 0.820781 | + | 6.24004i | 0.0451825 | + | 0.343503i | ||||
\(331\) | 16.8212 | + | 16.8212i | 0.924578 | + | 0.924578i | 0.997349 | − | 0.0727709i | \(-0.0231842\pi\) |
−0.0727709 | + | 0.997349i | \(0.523184\pi\) | |||||||
\(332\) | 12.2959 | + | 26.1975i | 0.674825 | + | 1.43778i | ||||
\(333\) | −30.1326 | −1.65126 | ||||||||
\(334\) | −0.432188 | + | 0.680273i | −0.0236483 | + | 0.0372229i | ||||
\(335\) | 4.77384 | + | 5.70504i | 0.260823 | + | 0.311700i | ||||
\(336\) | 0.683066 | + | 7.38238i | 0.0372643 | + | 0.402742i | ||||
\(337\) | 14.4984 | + | 14.4984i | 0.789777 | + | 0.789777i | 0.981457 | − | 0.191680i | \(-0.0613937\pi\) |
−0.191680 | + | 0.981457i | \(0.561394\pi\) | |||||||
\(338\) | −2.29024 | − | 10.2699i | −0.124573 | − | 0.558608i | ||||
\(339\) | −7.24160 | − | 7.24160i | −0.393310 | − | 0.393310i | ||||
\(340\) | 6.78783 | + | 18.5838i | 0.368122 | + | 1.00785i | ||||
\(341\) | 0.0689618 | − | 0.0689618i | 0.00373449 | − | 0.00373449i | ||||
\(342\) | −22.3717 | + | 35.2136i | −1.20972 | + | 1.90413i | ||||
\(343\) | −6.23125 | + | 6.23125i | −0.336456 | + | 0.336456i | ||||
\(344\) | −12.9755 | − | 16.7794i | −0.699593 | − | 0.904687i | ||||
\(345\) | −1.44424 | + | 16.2522i | −0.0777555 | + | 0.874989i | ||||
\(346\) | 4.75576 | + | 21.3257i | 0.255671 | + | 1.14648i | ||||
\(347\) | − | 16.7705i | − | 0.900286i | −0.892956 | − | 0.450143i | \(-0.851373\pi\) | ||
0.892956 | − | 0.450143i | \(-0.148627\pi\) | |||||||
\(348\) | −29.1696 | − | 10.5344i | −1.56366 | − | 0.564704i | ||||
\(349\) | 1.86337 | − | 1.86337i | 0.0997439 | − | 0.0997439i | −0.655474 | − | 0.755218i | \(-0.727531\pi\) |
0.755218 | + | 0.655474i | \(0.227531\pi\) | |||||||
\(350\) | −3.37873 | − | 3.10525i | −0.180601 | − | 0.165983i | ||||
\(351\) | 27.8489i | 1.48647i | ||||||||
\(352\) | 1.20888 | + | 3.75217i | 0.0644333 | + | 0.199991i | ||||
\(353\) | 24.1362 | − | 24.1362i | 1.28464 | − | 1.28464i | 0.346642 | − | 0.937998i | \(-0.387322\pi\) |
0.937998 | − | 0.346642i | \(-0.112678\pi\) | |||||||
\(354\) | 11.1042 | − | 17.4782i | 0.590179 | − | 0.928955i | ||||
\(355\) | 1.96672 | + | 2.35035i | 0.104382 | + | 0.124744i | ||||
\(356\) | 6.06537 | − | 2.84680i | 0.321464 | − | 0.150880i | ||||
\(357\) | 8.19976 | 0.433978 | ||||||||
\(358\) | 5.58171 | − | 8.78574i | 0.295003 | − | 0.464341i | ||||
\(359\) | 12.2500i | 0.646532i | 0.946308 | + | 0.323266i | \(0.104781\pi\) | ||||
−0.946308 | + | 0.323266i | \(0.895219\pi\) | |||||||
\(360\) | 6.98314 | − | 31.8580i | 0.368044 | − | 1.67906i | ||||
\(361\) | 13.7253i | 0.722386i | ||||||||
\(362\) | 15.3438 | + | 9.74814i | 0.806451 | + | 0.512351i | ||||
\(363\) | −30.0291 | −1.57612 | ||||||||
\(364\) | 5.51926 | + | 1.99324i | 0.289288 | + | 0.104474i | ||||
\(365\) | 0.713853 | − | 8.03305i | 0.0373648 | − | 0.420469i | ||||
\(366\) | −17.9729 | − | 11.4185i | −0.939458 | − | 0.596852i | ||||
\(367\) | 2.71307 | − | 2.71307i | 0.141621 | − | 0.141621i | −0.632742 | − | 0.774363i | \(-0.718071\pi\) |
0.774363 | + | 0.632742i | \(0.218071\pi\) | |||||||
\(368\) | 0.941567 | + | 10.1762i | 0.0490826 | + | 0.530470i | ||||
\(369\) | − | 23.4967i | − | 1.22319i | ||||||
\(370\) | 11.2505 | − | 14.6584i | 0.584885 | − | 0.762054i | ||||
\(371\) | −1.26551 | + | 1.26551i | −0.0657018 | + | 0.0657018i | ||||
\(372\) | −0.723649 | + | 0.339647i | −0.0375195 | + | 0.0176099i | ||||
\(373\) | − | 16.4846i | − | 0.853541i | −0.904360 | − | 0.426771i | \(-0.859651\pi\) | ||
0.904360 | − | 0.426771i | \(-0.140349\pi\) | |||||||
\(374\) | 4.25542 | − | 0.948984i | 0.220043 | − | 0.0490708i | ||||
\(375\) | 15.8522 | + | 27.7183i | 0.818603 | + | 1.43137i | ||||
\(376\) | −16.4292 | − | 2.10033i | −0.847272 | − | 0.108316i | ||||
\(377\) | −17.3576 | + | 17.3576i | −0.893964 | + | 0.893964i | ||||
\(378\) | −4.77180 | − | 3.03160i | −0.245435 | − | 0.155929i | ||||
\(379\) | −13.7716 | + | 13.7716i | −0.707401 | + | 0.707401i | −0.965988 | − | 0.258587i | \(-0.916743\pi\) |
0.258587 | + | 0.965988i | \(0.416743\pi\) | |||||||
\(380\) | −8.77726 | − | 24.0305i | −0.450264 | − | 1.23274i | ||||
\(381\) | 1.75870 | + | 1.75870i | 0.0901011 | + | 0.0901011i | ||||
\(382\) | 20.8530 | − | 4.65034i | 1.06693 | − | 0.237932i | ||||
\(383\) | 11.5530 | + | 11.5530i | 0.590332 | + | 0.590332i | 0.937721 | − | 0.347389i | \(-0.112932\pi\) |
−0.347389 | + | 0.937721i | \(0.612932\pi\) | |||||||
\(384\) | 1.12707 | − | 32.2924i | 0.0575153 | − | 1.64791i | ||||
\(385\) | −0.775562 | + | 0.648972i | −0.0395263 | + | 0.0330747i | ||||
\(386\) | −7.07604 | − | 4.49552i | −0.360161 | − | 0.228816i | ||||
\(387\) | 38.6722 | 1.96582 | ||||||||
\(388\) | 13.1838 | + | 4.76123i | 0.669305 | + | 0.241715i | ||||
\(389\) | −15.7728 | − | 15.7728i | −0.799712 | − | 0.799712i | 0.183338 | − | 0.983050i | \(-0.441310\pi\) |
−0.983050 | + | 0.183338i | \(0.941310\pi\) | |||||||
\(390\) | −32.3915 | − | 24.8608i | −1.64021 | − | 1.25888i | ||||
\(391\) | 11.3029 | 0.571612 | ||||||||
\(392\) | 14.7200 | − | 11.3829i | 0.743470 | − | 0.574925i | ||||
\(393\) | −27.2867 | − | 27.2867i | −1.37643 | − | 1.37643i | ||||
\(394\) | 1.24107 | + | 5.56517i | 0.0625240 | + | 0.280369i | ||||
\(395\) | −5.54512 | − | 6.62677i | −0.279006 | − | 0.333429i | ||||
\(396\) | −6.75991 | − | 2.44129i | −0.339698 | − | 0.122680i | ||||
\(397\) | 29.9558i | 1.50344i | 0.659483 | + | 0.751720i | \(0.270775\pi\) | ||||
−0.659483 | + | 0.751720i | \(0.729225\pi\) | |||||||
\(398\) | −7.49583 | + | 1.67161i | −0.375732 | + | 0.0837904i | ||||
\(399\) | −10.6030 | −0.530815 | ||||||||
\(400\) | 12.8905 | + | 15.2917i | 0.644523 | + | 0.764585i | ||||
\(401\) | 19.9241 | 0.994963 | 0.497481 | − | 0.867475i | \(-0.334258\pi\) | ||||
0.497481 | + | 0.867475i | \(0.334258\pi\) | |||||||
\(402\) | −13.1147 | + | 2.92465i | −0.654102 | + | 0.145868i | ||||
\(403\) | 0.632724i | 0.0315182i | ||||||||
\(404\) | 1.77291 | − | 4.90915i | 0.0882054 | − | 0.244239i | ||||
\(405\) | 3.04508 | + | 3.63906i | 0.151311 | + | 0.180826i | ||||
\(406\) | −1.08463 | − | 4.86369i | −0.0538294 | − | 0.241381i | ||||
\(407\) | −2.87936 | − | 2.87936i | −0.142725 | − | 0.142725i | ||||
\(408\) | −35.4485 | − | 4.53179i | −1.75496 | − | 0.224357i | ||||
\(409\) | 5.89856 | 0.291665 | 0.145832 | − | 0.989309i | \(-0.453414\pi\) | ||||
0.145832 | + | 0.989309i | \(0.453414\pi\) | |||||||
\(410\) | 11.4303 | + | 8.77287i | 0.564502 | + | 0.433261i | ||||
\(411\) | 10.5751 | + | 10.5751i | 0.521634 | + | 0.521634i | ||||
\(412\) | 11.2075 | − | 31.0333i | 0.552152 | − | 1.52890i | ||||
\(413\) | 3.32717 | 0.163720 | ||||||||
\(414\) | −15.7269 | − | 9.99156i | −0.772936 | − | 0.491058i | ||||
\(415\) | 24.8141 | − | 20.7638i | 1.21808 | − | 1.01926i | ||||
\(416\) | −22.7588 | − | 11.6674i | −1.11584 | − | 0.572039i | ||||
\(417\) | −15.6155 | − | 15.6155i | −0.764696 | − | 0.764696i | ||||
\(418\) | −5.50264 | + | 1.22712i | −0.269143 | + | 0.0600204i | ||||
\(419\) | 8.24430 | + | 8.24430i | 0.402760 | + | 0.402760i | 0.879205 | − | 0.476444i | \(-0.158075\pi\) |
−0.476444 | + | 0.879205i | \(0.658075\pi\) | |||||||
\(420\) | 7.78590 | − | 2.84383i | 0.379913 | − | 0.138765i | ||||
\(421\) | −17.1776 | + | 17.1776i | −0.837184 | + | 0.837184i | −0.988487 | − | 0.151304i | \(-0.951653\pi\) |
0.151304 | + | 0.988487i | \(0.451653\pi\) | |||||||
\(422\) | −5.45297 | − | 3.46436i | −0.265447 | − | 0.168642i | ||||
\(423\) | 21.3528 | − | 21.3528i | 1.03821 | − | 1.03821i | ||||
\(424\) | 6.17034 | − | 4.77152i | 0.299658 | − | 0.231725i | ||||
\(425\) | 18.1542 | − | 12.6380i | 0.880607 | − | 0.613031i | ||||
\(426\) | −5.40296 | + | 1.20489i | −0.261774 | + | 0.0583772i | ||||
\(427\) | − | 3.42135i | − | 0.165571i | ||||||
\(428\) | 13.0104 | + | 27.7198i | 0.628881 | + | 1.33989i | ||||
\(429\) | −6.36269 | + | 6.36269i | −0.307194 | + | 0.307194i | ||||
\(430\) | −14.4388 | + | 18.8126i | −0.696303 | + | 0.907222i | ||||
\(431\) | − | 32.1769i | − | 1.54990i | −0.632020 | − | 0.774952i | \(-0.717774\pi\) | ||
0.632020 | − | 0.774952i | \(-0.282226\pi\) | |||||||
\(432\) | 18.9536 | + | 15.7432i | 0.911904 | + | 0.757445i | ||||
\(433\) | −20.3383 | + | 20.3383i | −0.977396 | + | 0.977396i | −0.999750 | − | 0.0223540i | \(-0.992884\pi\) |
0.0223540 | + | 0.999750i | \(0.492884\pi\) | |||||||
\(434\) | −0.108415 | − | 0.0688775i | −0.00520407 | − | 0.00330623i | ||||
\(435\) | −3.06921 | + | 34.5381i | −0.147158 | + | 1.65598i | ||||
\(436\) | −11.9898 | + | 33.1995i | −0.574206 | + | 1.58997i | ||||
\(437\) | −14.6156 | −0.699161 | ||||||||
\(438\) | 12.2957 | + | 7.81163i | 0.587510 | + | 0.373254i | ||||
\(439\) | − | 35.4180i | − | 1.69041i | −0.534444 | − | 0.845204i | \(-0.679479\pi\) | ||
0.534444 | − | 0.845204i | \(-0.320521\pi\) | |||||||
\(440\) | 3.71151 | − | 2.37695i | 0.176940 | − | 0.113317i | ||||
\(441\) | 33.9256i | 1.61550i | ||||||||
\(442\) | −15.1683 | + | 23.8752i | −0.721481 | + | 1.13563i | ||||
\(443\) | −3.03787 | −0.144333 | −0.0721667 | − | 0.997393i | \(-0.522991\pi\) | ||||
−0.0721667 | + | 0.997393i | \(0.522991\pi\) | |||||||
\(444\) | 14.1813 | + | 30.2145i | 0.673014 | + | 1.43392i | ||||
\(445\) | −4.80733 | − | 5.74507i | −0.227890 | − | 0.272342i | ||||
\(446\) | −8.76567 | + | 13.7974i | −0.415067 | + | 0.653324i | ||||
\(447\) | 12.0398 | − | 12.0398i | 0.569463 | − | 0.569463i | ||||
\(448\) | 4.47664 | − | 2.62953i | 0.211502 | − | 0.124234i | ||||
\(449\) | − | 8.65559i | − | 0.408483i | −0.978921 | − | 0.204241i | \(-0.934527\pi\) | ||
0.978921 | − | 0.204241i | \(-0.0654727\pi\) | |||||||
\(450\) | −36.4316 | + | 1.53658i | −1.71740 | + | 0.0724349i | ||||
\(451\) | 2.24526 | − | 2.24526i | 0.105725 | − | 0.105725i | ||||
\(452\) | −2.43601 | + | 6.74527i | −0.114580 | + | 0.317271i | ||||
\(453\) | − | 35.5335i | − | 1.66951i | ||||||
\(454\) | 0.474247 | + | 2.12661i | 0.0222575 | + | 0.0998068i | ||||
\(455\) | 0.580733 | − | 6.53504i | 0.0272252 | − | 0.306367i | ||||
\(456\) | 45.8381 | + | 5.86000i | 2.14656 | + | 0.274420i | ||||
\(457\) | −13.5575 | + | 13.5575i | −0.634193 | + | 0.634193i | −0.949117 | − | 0.314924i | \(-0.898021\pi\) |
0.314924 | + | 0.949117i | \(0.398021\pi\) | |||||||
\(458\) | −18.8379 | + | 29.6512i | −0.880236 | + | 1.38551i | ||||
\(459\) | 19.2692 | − | 19.2692i | 0.899411 | − | 0.899411i | ||||
\(460\) | 10.7324 | − | 3.92006i | 0.500401 | − | 0.182774i | ||||
\(461\) | −1.19682 | − | 1.19682i | −0.0557416 | − | 0.0557416i | 0.678687 | − | 0.734428i | \(-0.262550\pi\) |
−0.734428 | + | 0.678687i | \(0.762550\pi\) | |||||||
\(462\) | −0.397587 | − | 1.78286i | −0.0184974 | − | 0.0829459i | ||||
\(463\) | −21.1815 | − | 21.1815i | −0.984390 | − | 0.984390i | 0.0154904 | − | 0.999880i | \(-0.495069\pi\) |
−0.999880 | + | 0.0154904i | \(0.995069\pi\) | |||||||
\(464\) | 2.00096 | + | 21.6258i | 0.0928921 | + | 1.00395i | ||||
\(465\) | 0.573555 | + | 0.685435i | 0.0265980 | + | 0.0317863i | ||||
\(466\) | 10.7144 | − | 16.8647i | 0.496334 | − | 0.781241i | ||||
\(467\) | 24.8448 | 1.14968 | 0.574840 | − | 0.818266i | \(-0.305064\pi\) | ||||
0.574840 | + | 0.818266i | \(0.305064\pi\) | |||||||
\(468\) | 42.2105 | − | 19.8116i | 1.95118 | − | 0.915792i | ||||
\(469\) | −1.52664 | − | 1.52664i | −0.0704936 | − | 0.0704936i | ||||
\(470\) | 2.41494 | + | 18.3598i | 0.111393 | + | 0.846873i | ||||
\(471\) | 21.4343 | 0.987642 | ||||||||
\(472\) | −14.3838 | − | 1.83884i | −0.662066 | − | 0.0846394i | ||||
\(473\) | 3.69537 | + | 3.69537i | 0.169913 | + | 0.169913i | ||||
\(474\) | 15.2336 | − | 3.39717i | 0.699701 | − | 0.156037i | ||||
\(475\) | −23.4749 | + | 16.3420i | −1.07710 | + | 0.749822i | ||||
\(476\) | −2.43972 | − | 5.19804i | −0.111824 | − | 0.238252i | ||||
\(477\) | 14.2210i | 0.651135i | ||||||||
\(478\) | −8.08825 | − | 36.2692i | −0.369948 | − | 1.65892i | ||||
\(479\) | −23.5766 | −1.07724 | −0.538621 | − | 0.842548i | \(-0.681054\pi\) | ||||
−0.538621 | + | 0.842548i | \(0.681054\pi\) | |||||||
\(480\) | −35.2310 | + | 7.99116i | −1.60807 | + | 0.364745i | ||||
\(481\) | 26.4181 | 1.20456 | ||||||||
\(482\) | 0.0348578 | + | 0.156309i | 0.00158773 | + | 0.00711967i | ||||
\(483\) | − | 4.73547i | − | 0.215471i | ||||||
\(484\) | 8.93472 | + | 19.0362i | 0.406124 | + | 0.865284i | ||||
\(485\) | 1.38719 | − | 15.6102i | 0.0629891 | − | 0.708821i | ||||
\(486\) | 17.1417 | − | 3.82271i | 0.777565 | − | 0.173401i | ||||
\(487\) | −2.63011 | − | 2.63011i | −0.119182 | − | 0.119182i | 0.645001 | − | 0.764182i | \(-0.276857\pi\) |
−0.764182 | + | 0.645001i | \(0.776857\pi\) | |||||||
\(488\) | −1.89089 | + | 14.7909i | −0.0855964 | + | 0.669552i | ||||
\(489\) | 67.7686 | 3.06460 | ||||||||
\(490\) | −16.5035 | − | 12.6666i | −0.745553 | − | 0.572221i | ||||
\(491\) | −18.6899 | − | 18.6899i | −0.843465 | − | 0.843465i | 0.145843 | − | 0.989308i | \(-0.453411\pi\) |
−0.989308 | + | 0.145843i | \(0.953411\pi\) | |||||||
\(492\) | −23.5606 | + | 11.0582i | −1.06219 | + | 0.498544i | ||||
\(493\) | 24.0202 | 1.08182 | ||||||||
\(494\) | 19.6139 | − | 30.8727i | 0.882472 | − | 1.38903i | ||||
\(495\) | −0.711274 | + | 8.00403i | −0.0319694 | + | 0.359754i | ||||
\(496\) | 0.430623 | + | 0.357683i | 0.0193355 | + | 0.0160605i | ||||
\(497\) | −0.628940 | − | 0.628940i | −0.0282118 | − | 0.0282118i | ||||
\(498\) | 12.7208 | + | 57.0424i | 0.570032 | + | 2.55613i | ||||
\(499\) | −9.69342 | − | 9.69342i | −0.433937 | − | 0.433937i | 0.456028 | − | 0.889965i | \(-0.349272\pi\) |
−0.889965 | + | 0.456028i | \(0.849272\pi\) | |||||||
\(500\) | 12.8548 | − | 18.2963i | 0.574884 | − | 0.818235i | ||||
\(501\) | −1.15090 | + | 1.15090i | −0.0514185 | + | 0.0514185i | ||||
\(502\) | 20.6154 | − | 32.4491i | 0.920110 | − | 1.44827i | ||||
\(503\) | −13.0434 | + | 13.0434i | −0.581577 | + | 0.581577i | −0.935336 | − | 0.353759i | \(-0.884903\pi\) |
0.353759 | + | 0.935336i | \(0.384903\pi\) | |||||||
\(504\) | −1.20034 | + | 9.38926i | −0.0534672 | + | 0.418231i | ||||
\(505\) | −5.81265 | − | 0.516538i | −0.258659 | − | 0.0229856i | ||||
\(506\) | −0.548051 | − | 2.45756i | −0.0243638 | − | 0.109252i | ||||
\(507\) | − | 21.2495i | − | 0.943724i | ||||||
\(508\) | 0.591611 | − | 1.63816i | 0.0262485 | − | 0.0726817i | ||||
\(509\) | −25.8539 | + | 25.8539i | −1.14595 | + | 1.14595i | −0.158611 | + | 0.987341i | \(0.550702\pi\) |
−0.987341 | + | 0.158611i | \(0.949298\pi\) | |||||||
\(510\) | 5.21061 | + | 39.6140i | 0.230730 | + | 1.75414i | ||||
\(511\) | 2.34062i | 0.103543i | ||||||||
\(512\) | −20.8063 | + | 8.89365i | −0.919518 | + | 0.393047i | ||||
\(513\) | −24.9168 | + | 24.9168i | −1.10010 | + | 1.10010i | ||||
\(514\) | −0.812734 | + | 1.27926i | −0.0358481 | + | 0.0564258i | ||||
\(515\) | −36.7448 | − | 3.26531i | −1.61917 | − | 0.143887i | ||||
\(516\) | −18.2002 | − | 38.7773i | −0.801221 | − | 1.70707i | ||||
\(517\) | 4.08080 | 0.179473 | ||||||||
\(518\) | −2.87584 | + | 4.52664i | −0.126357 | + | 0.198889i | ||||
\(519\) | 44.1252i | 1.93688i | ||||||||
\(520\) | −6.12232 | + | 27.9308i | −0.268481 | + | 1.22485i | ||||
\(521\) | 25.0528i | 1.09758i | 0.835959 | + | 0.548792i | \(0.184912\pi\) | ||||
−0.835959 | + | 0.548792i | \(0.815088\pi\) | |||||||
\(522\) | −33.4218 | − | 21.2334i | −1.46283 | − | 0.929361i | ||||
\(523\) | 40.3434 | 1.76410 | 0.882048 | − | 0.471160i | \(-0.156165\pi\) | ||||
0.882048 | + | 0.471160i | \(0.156165\pi\) | |||||||
\(524\) | −9.17898 | + | 25.4165i | −0.400986 | + | 1.11032i | ||||
\(525\) | −5.29481 | − | 7.60588i | −0.231084 | − | 0.331948i | ||||
\(526\) | −9.67325 | − | 6.14556i | −0.421774 | − | 0.267959i | ||||
\(527\) | 0.437794 | − | 0.437794i | 0.0190706 | − | 0.0190706i | ||||
\(528\) | 0.733479 | + | 7.92723i | 0.0319206 | + | 0.344988i | ||||
\(529\) | 16.4724i | 0.716192i | ||||||||
\(530\) | −6.91798 | − | 5.30963i | −0.300498 | − | 0.230636i | ||||
\(531\) | 18.6944 | − | 18.6944i | 0.811267 | − | 0.811267i | ||||
\(532\) | 3.15477 | + | 6.72153i | 0.136777 | + | 0.291415i | ||||
\(533\) | 20.6003i | 0.892296i | ||||||||
\(534\) | 13.2067 | − | 2.94517i | 0.571510 | − | 0.127450i | ||||
\(535\) | 26.2560 | − | 21.9704i | 1.13515 | − | 0.949862i | ||||
\(536\) | 5.75610 | + | 7.44356i | 0.248626 | + | 0.321513i | ||||
\(537\) | 14.8639 | − | 14.8639i | 0.641425 | − | 0.641425i | ||||
\(538\) | −16.5247 | − | 10.4984i | −0.712430 | − | 0.452618i | ||||
\(539\) | −3.24180 | + | 3.24180i | −0.139634 | + | 0.139634i | ||||
\(540\) | 11.6137 | − | 24.9796i | 0.499775 | − | 1.07495i | ||||
\(541\) | −24.7446 | − | 24.7446i | −1.06385 | − | 1.06385i | −0.997817 | − | 0.0660360i | \(-0.978965\pi\) |
−0.0660360 | − | 0.997817i | \(-0.521035\pi\) | |||||||
\(542\) | 5.66146 | − | 1.26254i | 0.243181 | − | 0.0542307i | ||||
\(543\) | 25.9590 | + | 25.9590i | 1.11401 | + | 1.11401i | ||||
\(544\) | 7.67437 | + | 23.8201i | 0.329036 | + | 1.02128i | ||||
\(545\) | 39.3097 | + | 3.49324i | 1.68384 | + | 0.149634i | ||||
\(546\) | 10.0028 | + | 6.35491i | 0.428079 | + | 0.271965i | ||||
\(547\) | 19.0254 | 0.813465 | 0.406733 | − | 0.913547i | \(-0.366668\pi\) | ||||
0.406733 | + | 0.913547i | \(0.366668\pi\) | |||||||
\(548\) | 3.55738 | − | 9.85034i | 0.151964 | − | 0.420786i | ||||
\(549\) | −19.2235 | − | 19.2235i | −0.820440 | − | 0.820440i | ||||
\(550\) | −3.62809 | − | 3.33444i | −0.154702 | − | 0.142181i | ||||
\(551\) | −31.0602 | −1.32321 | ||||||||
\(552\) | −2.61717 | + | 20.4720i | −0.111394 | + | 0.871346i | ||||
\(553\) | 1.77329 | + | 1.77329i | 0.0754079 | + | 0.0754079i | ||||
\(554\) | −7.59554 | − | 34.0598i | −0.322704 | − | 1.44706i | ||||
\(555\) | 28.6189 | − | 23.9476i | 1.21481 | − | 1.01652i | ||||
\(556\) | −5.25292 | + | 14.5453i | −0.222773 | + | 0.616856i | ||||
\(557\) | 30.9517i | 1.31146i | 0.754993 | + | 0.655732i | \(0.227640\pi\) | ||||
−0.754993 | + | 0.655732i | \(0.772360\pi\) | |||||||
\(558\) | −0.996151 | + | 0.222148i | −0.0421704 | + | 0.00940425i | ||||
\(559\) | −33.9050 | −1.43403 | ||||||||
\(560\) | −4.11936 | − | 4.08954i | −0.174075 | − | 0.172815i | ||||
\(561\) | 8.80494 | 0.371745 | ||||||||
\(562\) | −32.6702 | + | 7.28565i | −1.37811 | + | 0.307327i | ||||
\(563\) | − | 3.50238i | − | 0.147608i | −0.997273 | − | 0.0738039i | \(-0.976486\pi\) | ||
0.997273 | − | 0.0738039i | \(-0.0235139\pi\) | |||||||
\(564\) | −31.4601 | − | 11.3616i | −1.32471 | − | 0.478410i | ||||
\(565\) | 7.98670 | + | 0.709734i | 0.336003 | + | 0.0298587i | ||||
\(566\) | −4.01676 | − | 18.0119i | −0.168837 | − | 0.757097i | ||||
\(567\) | −0.973793 | − | 0.973793i | −0.0408955 | − | 0.0408955i | ||||
\(568\) | 2.37138 | + | 3.06658i | 0.0995011 | + | 0.128671i | ||||
\(569\) | −0.525780 | −0.0220418 | −0.0110209 | − | 0.999939i | \(-0.503508\pi\) | ||||
−0.0110209 | + | 0.999939i | \(0.503508\pi\) | |||||||
\(570\) | −6.73778 | − | 51.2244i | −0.282214 | − | 2.14555i | ||||
\(571\) | −11.2487 | − | 11.2487i | −0.470743 | − | 0.470743i | 0.431412 | − | 0.902155i | \(-0.358016\pi\) |
−0.902155 | + | 0.431412i | \(0.858016\pi\) | |||||||
\(572\) | 5.92660 | + | 2.14035i | 0.247804 | + | 0.0894926i | ||||
\(573\) | 43.1472 | 1.80250 | ||||||||
\(574\) | −3.52977 | − | 2.24252i | −0.147330 | − | 0.0936008i | ||||
\(575\) | −7.29859 | − | 10.4843i | −0.304372 | − | 0.437224i | ||||
\(576\) | 10.3784 | − | 39.9275i | 0.432432 | − | 1.66364i | ||||
\(577\) | −2.92884 | − | 2.92884i | −0.121929 | − | 0.121929i | 0.643509 | − | 0.765438i | \(-0.277478\pi\) |
−0.765438 | + | 0.643509i | \(0.777478\pi\) | |||||||
\(578\) | 3.54971 | − | 0.791607i | 0.147649 | − | 0.0329265i | ||||
\(579\) | −11.9714 | − | 11.9714i | −0.497515 | − | 0.497515i | ||||
\(580\) | 22.8078 | − | 8.33065i | 0.947043 | − | 0.345912i | ||||
\(581\) | −6.64011 | + | 6.64011i | −0.275478 | + | 0.275478i | ||||
\(582\) | 23.8935 | + | 15.1799i | 0.990416 | + | 0.629227i | ||||
\(583\) | −1.35891 | + | 1.35891i | −0.0562801 | + | 0.0562801i | ||||
\(584\) | 1.29360 | − | 10.1188i | 0.0535295 | − | 0.418718i | ||||
\(585\) | −33.4555 | − | 39.9814i | −1.38321 | − | 1.65303i | ||||
\(586\) | 43.7186 | − | 9.74951i | 1.80600 | − | 0.402748i | ||||
\(587\) | 23.1574i | 0.955809i | 0.878412 | + | 0.477905i | \(0.158604\pi\) | ||||
−0.878412 | + | 0.477905i | \(0.841396\pi\) | |||||||
\(588\) | 34.0178 | − | 15.9664i | 1.40287 | − | 0.658442i | ||||
\(589\) | −0.566106 | + | 0.566106i | −0.0233260 | + | 0.0233260i | ||||
\(590\) | 2.11428 | + | 16.0740i | 0.0870436 | + | 0.661754i | ||||
\(591\) | 11.5150i | 0.473662i | ||||||||
\(592\) | 14.9343 | − | 17.9798i | 0.613798 | − | 0.738964i | ||||
\(593\) | −13.9325 | + | 13.9325i | −0.572141 | + | 0.572141i | −0.932726 | − | 0.360585i | \(-0.882577\pi\) |
0.360585 | + | 0.932726i | \(0.382577\pi\) | |||||||
\(594\) | −5.12398 | − | 3.25534i | −0.210240 | − | 0.133568i | ||||
\(595\) | −4.92354 | + | 4.11990i | −0.201846 | + | 0.168900i | ||||
\(596\) | −11.2146 | − | 4.05008i | −0.459368 | − | 0.165898i | ||||
\(597\) | −15.5097 | −0.634769 | ||||||||
\(598\) | 13.7882 | + | 8.75988i | 0.563843 | + | 0.358218i | ||||
\(599\) | 33.5311i | 1.37004i | 0.728523 | + | 0.685021i | \(0.240207\pi\) | ||||
−0.728523 | + | 0.685021i | \(0.759793\pi\) | |||||||
\(600\) | 18.6865 | + | 35.8074i | 0.762873 | + | 1.46183i | ||||
\(601\) | − | 19.4164i | − | 0.792011i | −0.918248 | − | 0.396005i | \(-0.870396\pi\) | ||
0.918248 | − | 0.396005i | \(-0.129604\pi\) | |||||||
\(602\) | 3.69085 | − | 5.80948i | 0.150428 | − | 0.236777i | ||||
\(603\) | −17.1554 | −0.698623 | ||||||||
\(604\) | −22.5256 | + | 10.5725i | −0.916554 | + | 0.430187i | ||||
\(605\) | 18.0310 | − | 15.0879i | 0.733063 | − | 0.613409i | ||||
\(606\) | 5.65243 | − | 8.89705i | 0.229614 | − | 0.361418i | ||||
\(607\) | −9.51495 | + | 9.51495i | −0.386200 | + | 0.386200i | −0.873330 | − | 0.487130i | \(-0.838044\pi\) |
0.487130 | + | 0.873330i | \(0.338044\pi\) | |||||||
\(608\) | −9.92363 | − | 30.8015i | −0.402456 | − | 1.24917i | ||||
\(609\) | − | 10.0635i | − | 0.407794i | ||||||
\(610\) | 16.5289 | − | 2.17412i | 0.669236 | − | 0.0880277i | ||||
\(611\) | −18.7206 | + | 18.7206i | −0.757355 | + | 0.757355i | ||||
\(612\) | −42.9143 | − | 15.4982i | −1.73471 | − | 0.626478i | ||||
\(613\) | 9.37947i | 0.378833i | 0.981897 | + | 0.189417i | \(0.0606597\pi\) | ||||
−0.981897 | + | 0.189417i | \(0.939340\pi\) | |||||||
\(614\) | 8.42177 | + | 37.7648i | 0.339875 | + | 1.52406i | ||||
\(615\) | 18.6738 | + | 22.3164i | 0.753002 | + | 0.899884i | ||||
\(616\) | −1.01190 | + | 0.782503i | −0.0407707 | + | 0.0315280i | ||||
\(617\) | −3.54768 | + | 3.54768i | −0.142824 | + | 0.142824i | −0.774904 | − | 0.632079i | \(-0.782202\pi\) |
0.632079 | + | 0.774904i | \(0.282202\pi\) | |||||||
\(618\) | 35.7319 | − | 56.2428i | 1.43735 | − | 2.26242i | ||||
\(619\) | 24.6158 | − | 24.6158i | 0.989392 | − | 0.989392i | −0.0105527 | − | 0.999944i | \(-0.503359\pi\) |
0.999944 | + | 0.0105527i | \(0.00335910\pi\) | |||||||
\(620\) | 0.263862 | − | 0.567533i | 0.0105970 | − | 0.0227927i | ||||
\(621\) | −11.1282 | − | 11.1282i | −0.446561 | − | 0.446561i | ||||
\(622\) | 4.86585 | + | 21.8194i | 0.195103 | + | 0.874877i | ||||
\(623\) | 1.53735 | + | 1.53735i | 0.0615926 | + | 0.0615926i | ||||
\(624\) | −39.7309 | − | 33.0013i | −1.59051 | − | 1.32111i | ||||
\(625\) | −23.4453 | − | 8.67867i | −0.937811 | − | 0.347147i | ||||
\(626\) | −14.8420 | + | 23.3617i | −0.593206 | + | 0.933720i | ||||
\(627\) | −11.3856 | −0.454695 | ||||||||
\(628\) | −6.37747 | − | 13.5878i | −0.254489 | − | 0.542211i | ||||
\(629\) | −18.2792 | − | 18.2792i | −0.728840 | − | 0.728840i | ||||
\(630\) | 10.4926 | − | 1.38014i | 0.418034 | − | 0.0549859i | ||||
\(631\) | −28.8921 | −1.15018 | −0.575088 | − | 0.818092i | \(-0.695032\pi\) | ||||
−0.575088 | + | 0.818092i | \(0.695032\pi\) | |||||||
\(632\) | −6.68608 | − | 8.64618i | −0.265958 | − | 0.343927i | ||||
\(633\) | −9.22547 | − | 9.22547i | −0.366679 | − | 0.366679i | ||||
\(634\) | −48.3235 | + | 10.7764i | −1.91917 | + | 0.427986i | ||||
\(635\) | −1.93966 | − | 0.172367i | −0.0769729 | − | 0.00684016i | ||||
\(636\) | 14.2596 | − | 6.69281i | 0.565432 | − | 0.265387i | ||||
\(637\) | − | 29.7435i | − | 1.17848i | ||||||
\(638\) | −1.16468 | − | 5.22265i | −0.0461102 | − | 0.206767i | ||||
\(639\) | −7.06765 | −0.279592 | ||||||||
\(640\) | 15.5483 | + | 19.9562i | 0.614600 | + | 0.788839i | ||||
\(641\) | −16.6914 | −0.659271 | −0.329636 | − | 0.944108i | \(-0.606926\pi\) | ||||
−0.329636 | + | 0.944108i | \(0.606926\pi\) | |||||||
\(642\) | 13.4600 | + | 60.3570i | 0.531223 | + | 2.38210i | ||||
\(643\) | 5.22468i | 0.206041i | 0.994679 | + | 0.103021i | \(0.0328507\pi\) | ||||
−0.994679 | + | 0.103021i | \(0.967149\pi\) | |||||||
\(644\) | −3.00194 | + | 1.40897i | −0.118293 | + | 0.0555212i | ||||
\(645\) | −36.7295 | + | 30.7343i | −1.44622 | + | 1.21016i | ||||
\(646\) | −34.9327 | + | 7.79019i | −1.37441 | + | 0.306501i | ||||
\(647\) | 21.6797 | + | 21.6797i | 0.852318 | + | 0.852318i | 0.990418 | − | 0.138100i | \(-0.0440996\pi\) |
−0.138100 | + | 0.990418i | \(0.544100\pi\) | |||||||
\(648\) | 3.67163 | + | 4.74801i | 0.144235 | + | 0.186519i | ||||
\(649\) | 3.57273 | 0.140242 | ||||||||
\(650\) | 31.9406 | − | 1.34716i | 1.25281 | − | 0.0528399i | ||||
\(651\) | −0.183418 | − | 0.183418i | −0.00718874 | − | 0.00718874i | ||||
\(652\) | −20.1636 | − | 42.9603i | −0.789666 | − | 1.68245i | ||||
\(653\) | 22.7642 | 0.890833 | 0.445417 | − | 0.895323i | \(-0.353056\pi\) | ||||
0.445417 | + | 0.895323i | \(0.353056\pi\) | |||||||
\(654\) | −38.2261 | + | 60.1688i | −1.49476 | + | 2.35279i | ||||
\(655\) | 30.0942 | + | 2.67431i | 1.17588 | + | 0.104494i | ||||
\(656\) | 14.0202 | + | 11.6455i | 0.547398 | + | 0.454679i | ||||
\(657\) | 13.1513 | + | 13.1513i | 0.513079 | + | 0.513079i | ||||
\(658\) | −1.16980 | − | 5.24560i | −0.0456036 | − | 0.204495i | ||||
\(659\) | −1.66201 | − | 1.66201i | −0.0647427 | − | 0.0647427i | 0.673994 | − | 0.738737i | \(-0.264577\pi\) |
−0.738737 | + | 0.673994i | \(0.764577\pi\) | |||||||
\(660\) | 8.36053 | − | 3.05372i | 0.325433 | − | 0.118866i | ||||
\(661\) | −5.62818 | + | 5.62818i | −0.218911 | + | 0.218911i | −0.808039 | − | 0.589129i | \(-0.799471\pi\) |
0.589129 | + | 0.808039i | \(0.299471\pi\) | |||||||
\(662\) | 18.0406 | − | 28.3963i | 0.701168 | − | 1.10365i | ||||
\(663\) | −40.3926 | + | 40.3926i | −1.56872 | + | 1.56872i | ||||
\(664\) | 32.3758 | − | 25.0362i | 1.25642 | − | 0.971591i | ||||
\(665\) | 6.36657 | − | 5.32739i | 0.246885 | − | 0.206587i | ||||
\(666\) | 9.27532 | + | 41.5923i | 0.359411 | + | 1.61167i | ||||
\(667\) | − | 13.8720i | − | 0.537125i | ||||||
\(668\) | 1.07202 | + | 0.387153i | 0.0414777 | + | 0.0149794i | ||||
\(669\) | −23.3427 | + | 23.3427i | −0.902481 | + | 0.902481i | ||||
\(670\) | 6.40525 | − | 8.34548i | 0.247456 | − | 0.322414i | ||||
\(671\) | − | 3.67386i | − | 0.141828i | ||||||
\(672\) | 9.97969 | − | 3.21526i | 0.384975 | − | 0.124031i | ||||
\(673\) | 0.278251 | − | 0.278251i | 0.0107258 | − | 0.0107258i | −0.701724 | − | 0.712449i | \(-0.747586\pi\) |
0.712449 | + | 0.701724i | \(0.247586\pi\) | |||||||
\(674\) | 15.5494 | − | 24.4751i | 0.598940 | − | 0.942744i | ||||
\(675\) | −30.3163 | − | 5.43097i | −1.16687 | − | 0.209038i | ||||
\(676\) | −13.4706 | + | 6.32248i | −0.518101 | + | 0.243172i | ||||
\(677\) | 26.3591 | 1.01306 | 0.506531 | − | 0.862222i | \(-0.330928\pi\) | ||||
0.506531 | + | 0.862222i | \(0.330928\pi\) | |||||||
\(678\) | −7.76655 | + | 12.2247i | −0.298273 | + | 0.469488i | ||||
\(679\) | 4.54840i | 0.174551i | ||||||||
\(680\) | 23.5620 | − | 15.0897i | 0.903562 | − | 0.578664i | ||||
\(681\) | 4.40019i | 0.168616i | ||||||||
\(682\) | −0.116416 | − | 0.0739609i | −0.00445780 | − | 0.00283211i | ||||
\(683\) | −2.83023 | −0.108296 | −0.0541479 | − | 0.998533i | \(-0.517244\pi\) | ||||
−0.0541479 | + | 0.998533i | \(0.517244\pi\) | |||||||
\(684\) | 55.4919 | + | 20.0405i | 2.12179 | + | 0.766269i | ||||
\(685\) | −11.6632 | − | 1.03645i | −0.445629 | − | 0.0396006i | ||||
\(686\) | 10.5191 | + | 6.68296i | 0.401622 | + | 0.255157i | ||||
\(687\) | −50.1646 | + | 50.1646i | −1.91390 | + | 1.91390i | ||||
\(688\) | −19.1667 | + | 23.0752i | −0.730724 | + | 0.879734i | ||||
\(689\) | − | 12.4679i | − | 0.474991i | ||||||
\(690\) | 22.8776 | − | 3.00920i | 0.870935 | − | 0.114558i | ||||
\(691\) | 22.1815 | − | 22.1815i | 0.843825 | − | 0.843825i | −0.145529 | − | 0.989354i | \(-0.546488\pi\) |
0.989354 | + | 0.145529i | \(0.0464884\pi\) | |||||||
\(692\) | 27.9721 | − | 13.1288i | 1.06334 | − | 0.499083i | ||||
\(693\) | − | 2.33217i | − | 0.0885917i | ||||||
\(694\) | −23.1484 | + | 5.16223i | −0.878702 | + | 0.195956i | ||||
\(695\) | 17.2222 | + | 1.53044i | 0.653276 | + | 0.0580531i | ||||
\(696\) | −5.56183 | + | 43.5057i | −0.210821 | + | 1.64908i | ||||
\(697\) | 14.2537 | − | 14.2537i | 0.539898 | − | 0.539898i | ||||
\(698\) | −3.14560 | − | 1.99845i | −0.119063 | − | 0.0756423i | ||||
\(699\) | 28.5320 | − | 28.5320i | 1.07918 | − | 1.07918i | ||||
\(700\) | −3.24618 | + | 5.61953i | −0.122694 | + | 0.212398i | ||||
\(701\) | 16.2264 | + | 16.2264i | 0.612864 | + | 0.612864i | 0.943691 | − | 0.330828i | \(-0.107328\pi\) |
−0.330828 | + | 0.943691i | \(0.607328\pi\) | |||||||
\(702\) | 38.4401 | − | 8.57237i | 1.45083 | − | 0.323543i | ||||
\(703\) | 23.6366 | + | 23.6366i | 0.891472 | + | 0.891472i | ||||
\(704\) | 4.80704 | − | 2.82360i | 0.181172 | − | 0.106418i | ||||
\(705\) | −3.31022 | + | 37.2502i | −0.124670 | + | 1.40292i | ||||
\(706\) | −40.7449 | − | 25.8858i | −1.53345 | − | 0.974226i | ||||
\(707\) | 1.69365 | 0.0636965 | ||||||||
\(708\) | −27.5433 | − | 9.94708i | −1.03514 | − | 0.373834i | ||||
\(709\) | 25.3577 | + | 25.3577i | 0.952329 | + | 0.952329i | 0.998914 | − | 0.0465856i | \(-0.0148340\pi\) |
−0.0465856 | + | 0.998914i | \(0.514834\pi\) | |||||||
\(710\) | 2.63882 | − | 3.43815i | 0.0990331 | − | 0.129031i | ||||
\(711\) | 19.9271 | 0.747326 | ||||||||
\(712\) | −5.79648 | − | 7.49579i | −0.217232 | − | 0.280916i | ||||
\(713\) | −0.252832 | − | 0.252832i | −0.00946863 | − | 0.00946863i | ||||
\(714\) | −2.52402 | − | 11.3182i | −0.0944592 | − | 0.423573i | ||||
\(715\) | 0.623594 | − | 7.01735i | 0.0233211 | − | 0.262434i | ||||
\(716\) | −13.8452 | − | 5.00009i | −0.517418 | − | 0.186862i | ||||
\(717\) | − | 75.0450i | − | 2.80261i | ||||||
\(718\) | 16.9088 | − | 3.77076i | 0.631031 | − | 0.140724i | ||||
\(719\) | 41.3374 | 1.54163 | 0.770813 | − | 0.637061i | \(-0.219850\pi\) | ||||
0.770813 | + | 0.637061i | \(0.219850\pi\) | |||||||
\(720\) | −46.1233 | + | 0.167529i | −1.71892 | + | 0.00624342i | ||||
\(721\) | 10.7065 | 0.398730 | ||||||||
\(722\) | 18.9452 | − | 4.22489i | 0.705067 | − | 0.157234i | ||||
\(723\) | 0.323420i | 0.0120281i | ||||||||
\(724\) | 8.73236 | − | 24.1798i | 0.324536 | − | 0.898635i | ||||
\(725\) | −15.5105 | − | 22.2805i | −0.576045 | − | 0.827477i | ||||
\(726\) | 9.24346 | + | 41.4494i | 0.343057 | + | 1.53833i | ||||
\(727\) | −23.4630 | − | 23.4630i | −0.870193 | − | 0.870193i | 0.122300 | − | 0.992493i | \(-0.460973\pi\) |
−0.992493 | + | 0.122300i | \(0.960973\pi\) | |||||||
\(728\) | 1.05237 | − | 8.23182i | 0.0390033 | − | 0.305092i | ||||
\(729\) | 41.8342 | 1.54942 | ||||||||
\(730\) | −11.3078 | + | 1.48737i | −0.418521 | + | 0.0550500i | ||||
\(731\) | 23.4595 | + | 23.4595i | 0.867681 | + | 0.867681i | ||||
\(732\) | −10.2286 | + | 28.3229i | −0.378061 | + | 1.04684i | ||||
\(733\) | −15.1628 | −0.560051 | −0.280025 | − | 0.959993i | \(-0.590343\pi\) | ||||
−0.280025 | + | 0.959993i | \(0.590343\pi\) | |||||||
\(734\) | −4.58000 | − | 2.90975i | −0.169051 | − | 0.107401i | ||||
\(735\) | −26.9621 | − | 32.2214i | −0.994511 | − | 1.18850i | ||||
\(736\) | 13.7564 | − | 4.43205i | 0.507069 | − | 0.163368i | ||||
\(737\) | −1.63931 | − | 1.63931i | −0.0603848 | − | 0.0603848i | ||||
\(738\) | −32.4327 | + | 7.23269i | −1.19387 | + | 0.266239i | ||||
\(739\) | −0.974343 | − | 0.974343i | −0.0358418 | − | 0.0358418i | 0.688959 | − | 0.724801i | \(-0.258068\pi\) |
−0.724801 | + | 0.688959i | \(0.758068\pi\) | |||||||
\(740\) | −23.6962 | − | 11.0170i | −0.871089 | − | 0.404994i | ||||
\(741\) | 52.2312 | − | 52.2312i | 1.91876 | − | 1.91876i | ||||
\(742\) | 2.13633 | + | 1.35724i | 0.0784272 | + | 0.0498260i | ||||
\(743\) | 29.0897 | − | 29.0897i | 1.06720 | − | 1.06720i | 0.0696259 | − | 0.997573i | \(-0.477819\pi\) |
0.997573 | − | 0.0696259i | \(-0.0221806\pi\) | |||||||
\(744\) | 0.691569 | + | 0.894310i | 0.0253541 | + | 0.0327870i | ||||
\(745\) | −1.18000 | + | 13.2786i | −0.0432317 | + | 0.486490i | ||||
\(746\) | −22.7538 | + | 5.07424i | −0.833078 | + | 0.185781i | ||||
\(747\) | 74.6176i | 2.73011i | ||||||||
\(748\) | −2.61978 | − | 5.58168i | −0.0957887 | − | 0.204087i | ||||
\(749\) | −7.02596 | + | 7.02596i | −0.256723 | + | 0.256723i | ||||
\(750\) | 33.3803 | − | 30.4130i | 1.21887 | − | 1.11053i | ||||
\(751\) | − | 7.77705i | − | 0.283789i | −0.989882 | − | 0.141894i | \(-0.954681\pi\) | ||
0.989882 | − | 0.141894i | \(-0.0453193\pi\) | |||||||
\(752\) | 2.15808 | + | 23.3239i | 0.0786970 | + | 0.850534i | ||||
\(753\) | 54.8981 | − | 54.8981i | 2.00060 | − | 2.00060i | ||||
\(754\) | 29.3019 | + | 18.6159i | 1.06711 | + | 0.677952i | ||||
\(755\) | 17.8535 | + | 21.3361i | 0.649755 | + | 0.776498i | ||||
\(756\) | −2.71570 | + | 7.51973i | −0.0987690 | + | 0.273490i | ||||
\(757\) | 1.42073 | 0.0516372 | 0.0258186 | − | 0.999667i | \(-0.491781\pi\) | ||||
0.0258186 | + | 0.999667i | \(0.491781\pi\) | |||||||
\(758\) | 23.2482 | + | 14.7699i | 0.844413 | + | 0.536469i | ||||
\(759\) | − | 5.08497i | − | 0.184573i | ||||||
\(760\) | −30.4677 | + | 19.5123i | −1.10518 | + | 0.707786i | ||||
\(761\) | − | 26.6737i | − | 0.966921i | −0.875366 | − | 0.483460i | \(-0.839380\pi\) | ||
0.875366 | − | 0.483460i | \(-0.160620\pi\) | |||||||
\(762\) | 1.88619 | − | 2.96891i | 0.0683295 | − | 0.107552i | ||||
\(763\) | −11.4538 | −0.414656 | ||||||||
\(764\) | −12.8378 | − | 27.3521i | −0.464456 | − | 0.989565i | ||||
\(765\) | −4.51542 | + | 50.8124i | −0.163255 | + | 1.83713i | ||||
\(766\) | 12.3905 | − | 19.5029i | 0.447687 | − | 0.704669i | ||||
\(767\) | −16.3899 | + | 16.3899i | −0.591805 | + | 0.591805i | ||||
\(768\) | −44.9203 | + | 8.38443i | −1.62092 | + | 0.302547i | ||||
\(769\) | 45.8210i | 1.65235i | 0.563415 | + | 0.826174i | \(0.309487\pi\) | ||||
−0.563415 | + | 0.826174i | \(0.690513\pi\) | |||||||
\(770\) | 1.13451 | + | 0.870750i | 0.0408850 | + | 0.0313797i | ||||
\(771\) | −2.16428 | + | 2.16428i | −0.0779447 | + | 0.0779447i | ||||
\(772\) | −4.02707 | + | 11.1509i | −0.144937 | + | 0.401330i | ||||
\(773\) | 18.5473i | 0.667101i | 0.942732 | + | 0.333550i | \(0.108247\pi\) | ||||
−0.942732 | + | 0.333550i | \(0.891753\pi\) | |||||||
\(774\) | −11.9039 | − | 53.3795i | −0.427878 | − | 1.91869i | ||||
\(775\) | −0.688782 | − | 0.123391i | −0.0247418 | − | 0.00443233i | ||||
\(776\) | 2.51378 | − | 19.6633i | 0.0902393 | − | 0.705870i | ||||
\(777\) | −7.65827 | + | 7.65827i | −0.274739 | + | 0.274739i | ||||
\(778\) | −16.9162 | + | 26.6264i | −0.606474 | + | 0.954603i | ||||
\(779\) | −18.4313 | + | 18.4313i | −0.660370 | + | 0.660370i | ||||
\(780\) | −24.3450 | + | 52.3628i | −0.871689 | + | 1.87489i | ||||
\(781\) | −0.675359 | − | 0.675359i | −0.0241662 | − | 0.0241662i | ||||
\(782\) | −3.47922 | − | 15.6015i | −0.124417 | − | 0.557908i | ||||
\(783\) | −23.6490 | − | 23.6490i | −0.845146 | − | 0.845146i | ||||
\(784\) | −20.2430 | − | 16.8142i | −0.722964 | − | 0.600508i | ||||
\(785\) | −12.8702 | + | 10.7695i | −0.459358 | + | 0.384380i | ||||
\(786\) | −29.2647 | + | 46.0633i | −1.04384 | + | 1.64302i | ||||
\(787\) | −21.3016 | −0.759319 | −0.379659 | − | 0.925126i | \(-0.623959\pi\) | ||||
−0.379659 | + | 0.925126i | \(0.623959\pi\) | |||||||
\(788\) | 7.29963 | − | 3.42610i | 0.260039 | − | 0.122050i | ||||
\(789\) | −16.3654 | − | 16.3654i | −0.582624 | − | 0.582624i | ||||
\(790\) | −7.44011 | + | 9.69381i | −0.264707 | + | 0.344890i | ||||
\(791\) | −2.32712 | −0.0827427 | ||||||||
\(792\) | −1.28892 | + | 10.0822i | −0.0458000 | + | 0.358256i | ||||
\(793\) | 16.8538 | + | 16.8538i | 0.598496 | + | 0.598496i | ||||
\(794\) | 41.3482 | − | 9.22090i | 1.46739 | − | 0.327237i | ||||
\(795\) | −11.3020 | − | 13.5066i | −0.400841 | − | 0.479030i | ||||
\(796\) | 4.61468 | + | 9.83200i | 0.163563 | + | 0.348486i | ||||
\(797\) | − | 2.35457i | − | 0.0834033i | −0.999130 | − | 0.0417016i | \(-0.986722\pi\) | ||
0.999130 | − | 0.0417016i | \(-0.0132779\pi\) | |||||||
\(798\) | 3.26378 | + | 14.6354i | 0.115537 | + | 0.518088i | ||||
\(799\) | 25.9063 | 0.916500 | ||||||||
\(800\) | 17.1394 | − | 22.4998i | 0.605968 | − | 0.795489i | ||||
\(801\) | 17.2758 | 0.610410 | ||||||||
\(802\) | −6.13297 | − | 27.5014i | −0.216563 | − | 0.971108i | ||||
\(803\) | 2.51337i | 0.0886949i | ||||||||
\(804\) | 8.07384 | + | 17.2021i | 0.284742 | + | 0.606670i | ||||
\(805\) | 2.37930 | + | 2.84341i | 0.0838592 | + | 0.100217i | ||||
\(806\) | 0.873354 | − | 0.194763i | 0.0307626 | − | 0.00686023i | ||||
\(807\) | −27.9569 | − | 27.9569i | −0.984128 | − | 0.984128i | ||||
\(808\) | −7.32187 | − | 0.936037i | −0.257582 | − | 0.0329297i | ||||
\(809\) | −23.9476 | −0.841952 | −0.420976 | − | 0.907072i | \(-0.638312\pi\) | ||||
−0.420976 | + | 0.907072i | \(0.638312\pi\) | |||||||
\(810\) | 4.08570 | − | 5.32331i | 0.143557 | − | 0.187042i | ||||
\(811\) | −1.33006 | − | 1.33006i | −0.0467048 | − | 0.0467048i | 0.683369 | − | 0.730073i | \(-0.260514\pi\) |
−0.730073 | + | 0.683369i | \(0.760514\pi\) | |||||||
\(812\) | −6.37952 | + | 2.99425i | −0.223877 | + | 0.105078i | ||||
\(813\) | 11.7142 | 0.410834 | ||||||||
\(814\) | −3.08809 | + | 4.86072i | −0.108238 | + | 0.170368i | ||||
\(815\) | −40.6916 | + | 34.0498i | −1.42537 | + | 1.19271i | ||||
\(816\) | 4.65638 | + | 50.3248i | 0.163006 | + | 1.76172i | ||||
\(817\) | −30.3352 | − | 30.3352i | −1.06129 | − | 1.06129i | ||||
\(818\) | −1.81567 | − | 8.14182i | −0.0634836 | − | 0.284672i | ||||
\(819\) | 10.6988 | + | 10.6988i | 0.373846 | + | 0.373846i | ||||
\(820\) | 8.59083 | − | 18.4777i | 0.300005 | − | 0.645271i | ||||
\(821\) | 36.4676 | − | 36.4676i | 1.27273 | − | 1.27273i | 0.328076 | − | 0.944651i | \(-0.393600\pi\) |
0.944651 | − | 0.328076i | \(-0.106400\pi\) | |||||||
\(822\) | 11.3417 | − | 17.8522i | 0.395589 | − | 0.622666i | ||||
\(823\) | 26.3978 | − | 26.3978i | 0.920170 | − | 0.920170i | −0.0768712 | − | 0.997041i | \(-0.524493\pi\) |
0.997041 | + | 0.0768712i | \(0.0244930\pi\) | |||||||
\(824\) | −46.2853 | − | 5.91718i | −1.61243 | − | 0.206135i | ||||
\(825\) | −5.68559 | − | 8.16723i | −0.197947 | − | 0.284346i | ||||
\(826\) | −1.02416 | − | 4.59252i | −0.0356351 | − | 0.159794i | ||||
\(827\) | − | 1.99830i | − | 0.0694878i | −0.999396 | − | 0.0347439i | \(-0.988938\pi\) | ||
0.999396 | − | 0.0347439i | \(-0.0110616\pi\) | |||||||
\(828\) | −8.95041 | + | 24.7836i | −0.311048 | + | 0.861288i | ||||
\(829\) | −13.0376 | + | 13.0376i | −0.452813 | + | 0.452813i | −0.896287 | − | 0.443474i | \(-0.853746\pi\) |
0.443474 | + | 0.896287i | \(0.353746\pi\) | |||||||
\(830\) | −36.2986 | − | 27.8596i | −1.25994 | − | 0.967021i | ||||
\(831\) | − | 70.4735i | − | 2.44470i | ||||||
\(832\) | −9.09901 | + | 35.0055i | −0.315451 | + | 1.21360i | ||||
\(833\) | −20.5801 | + | 20.5801i | −0.713059 | + | 0.713059i | ||||
\(834\) | −16.7475 | + | 26.3609i | −0.579919 | + | 0.912805i | ||||
\(835\) | 0.112797 | − | 1.26932i | 0.00390352 | − | 0.0439266i | ||||
\(836\) | 3.38761 | + | 7.21760i | 0.117163 | + | 0.249626i | ||||
\(837\) | −0.862057 | −0.0297971 | ||||||||
\(838\) | 8.84194 | − | 13.9174i | 0.305440 | − | 0.480769i | ||||
\(839\) | − | 15.4102i | − | 0.532018i | −0.963971 | − | 0.266009i | \(-0.914295\pi\) | ||
0.963971 | − | 0.266009i | \(-0.0857050\pi\) | |||||||
\(840\) | −6.32199 | − | 9.87155i | −0.218129 | − | 0.340601i | ||||
\(841\) | − | 0.479815i | − | 0.0165453i | ||||||
\(842\) | 28.9979 | + | 18.4228i | 0.999333 | + | 0.634891i | ||||
\(843\) | −67.5983 | −2.32821 | ||||||||
\(844\) | −3.10336 | + | 8.59317i | −0.106822 | + | 0.295789i | ||||
\(845\) | 10.6766 | + | 12.7593i | 0.367287 | + | 0.438932i | ||||
\(846\) | −36.0462 | − | 22.9007i | −1.23929 | − | 0.787343i | ||||
\(847\) | −4.82499 | + | 4.82499i | −0.165789 | + | 0.165789i | ||||
\(848\) | −8.48550 | − | 7.04822i | −0.291393 | − | 0.242037i | ||||
\(849\) | − | 37.2686i | − | 1.27906i | ||||||
\(850\) | −23.0324 | − | 21.1682i | −0.790006 | − | 0.726062i | ||||
\(851\) | −10.5565 | + | 10.5565i | −0.361872 | + | 0.361872i | ||||
\(852\) | 3.32624 | + | 7.08686i | 0.113955 | + | 0.242792i | ||||
\(853\) | − | 7.96419i | − | 0.272689i | −0.990662 | − | 0.136344i | \(-0.956465\pi\) | ||
0.990662 | − | 0.136344i | \(-0.0435353\pi\) | |||||||
\(854\) | −4.72251 | + | 1.05315i | −0.161601 | + | 0.0360380i | ||||
\(855\) | 5.83883 | − | 65.7049i | 0.199684 | − | 2.24706i | ||||
\(856\) | 34.2571 | − | 26.4910i | 1.17088 | − | 0.905443i | ||||
\(857\) | 5.35407 | − | 5.35407i | 0.182891 | − | 0.182891i | −0.609723 | − | 0.792615i | \(-0.708719\pi\) |
0.792615 | + | 0.609723i | \(0.208719\pi\) | |||||||
\(858\) | 10.7410 | + | 6.82393i | 0.366692 | + | 0.232965i | ||||
\(859\) | 35.0058 | − | 35.0058i | 1.19438 | − | 1.19438i | 0.218559 | − | 0.975824i | \(-0.429864\pi\) |
0.975824 | − | 0.218559i | \(-0.0701355\pi\) | |||||||
\(860\) | 30.4116 | + | 14.1392i | 1.03703 | + | 0.482144i | ||||
\(861\) | −5.97175 | − | 5.97175i | −0.203517 | − | 0.203517i | ||||
\(862\) | −44.4140 | + | 9.90457i | −1.51275 | + | 0.337351i | ||||
\(863\) | −36.7138 | − | 36.7138i | −1.24975 | − | 1.24975i | −0.955829 | − | 0.293923i | \(-0.905039\pi\) |
−0.293923 | − | 0.955829i | \(-0.594961\pi\) | |||||||
\(864\) | 15.8962 | − | 31.0078i | 0.540801 | − | 1.05491i | ||||
\(865\) | −22.1703 | − | 26.4950i | −0.753814 | − | 0.900856i | ||||
\(866\) | 34.3336 | + | 21.8126i | 1.16670 | + | 0.741224i | ||||
\(867\) | 7.34475 | 0.249441 | ||||||||
\(868\) | −0.0617003 | + | 0.170847i | −0.00209424 | + | 0.00579893i | ||||
\(869\) | 1.90416 | + | 1.90416i | 0.0645943 | + | 0.0645943i | ||||
\(870\) | 48.6180 | − | 6.39495i | 1.64830 | − | 0.216809i | ||||
\(871\) | 15.0406 | 0.509633 | ||||||||
\(872\) | 49.5162 | + | 6.33022i | 1.67683 | + | 0.214368i | ||||
\(873\) | 25.5561 | + | 25.5561i | 0.864942 | + | 0.864942i | ||||
\(874\) | 4.49894 | + | 20.1741i | 0.152179 | + | 0.682399i | ||||
\(875\) | 7.00078 | + | 1.90662i | 0.236669 | + | 0.0644555i | ||||
\(876\) | 6.99764 | − | 19.3764i | 0.236428 | − | 0.654667i | ||||
\(877\) | − | 14.3410i | − | 0.484262i | −0.970244 | − | 0.242131i | \(-0.922154\pi\) | ||
0.970244 | − | 0.242131i | \(-0.0778463\pi\) | |||||||
\(878\) | −48.8877 | + | 10.9022i | −1.64988 | + | 0.367933i | ||||
\(879\) | 90.4586 | 3.05109 | ||||||||
\(880\) | −4.42338 | − | 4.39137i | −0.149112 | − | 0.148033i | ||||
\(881\) | −13.6397 | −0.459533 | −0.229767 | − | 0.973246i | \(-0.573796\pi\) | ||||
−0.229767 | + | 0.973246i | \(0.573796\pi\) | |||||||
\(882\) | 46.8277 | − | 10.4429i | 1.57677 | − | 0.351629i | ||||
\(883\) | − | 6.12563i | − | 0.206144i | −0.994674 | − | 0.103072i | \(-0.967133\pi\) | ||
0.994674 | − | 0.103072i | \(-0.0328672\pi\) | |||||||
\(884\) | 37.6242 | + | 13.5877i | 1.26544 | + | 0.457004i | ||||
\(885\) | −2.89809 | + | 32.6125i | −0.0974184 | + | 1.09626i | ||||
\(886\) | 0.935105 | + | 4.19319i | 0.0314155 | + | 0.140873i | ||||
\(887\) | 25.5187 | + | 25.5187i | 0.856834 | + | 0.856834i | 0.990964 | − | 0.134130i | \(-0.0428239\pi\) |
−0.134130 | + | 0.990964i | \(0.542824\pi\) | |||||||
\(888\) | 37.3401 | − | 28.8751i | 1.25305 | − | 0.968984i | ||||
\(889\) | 0.565166 | 0.0189551 | ||||||||
\(890\) | −6.45018 | + | 8.40403i | −0.216211 | + | 0.281704i | ||||
\(891\) | −1.04566 | − | 1.04566i | −0.0350310 | − | 0.0350310i | ||||
\(892\) | 21.7428 | + | 7.85227i | 0.728003 | + | 0.262913i | ||||
\(893\) | −33.4992 | −1.12101 | ||||||||
\(894\) | −20.3247 | − | 12.9126i | −0.679759 | − | 0.431861i | ||||
\(895\) | −1.45678 | + | 16.3933i | −0.0486948 | + | 0.547967i | ||||
\(896\) | −5.00755 | − | 5.36973i | −0.167290 | − | 0.179390i | ||||
\(897\) | 23.3273 | + | 23.3273i | 0.778875 | + | 0.778875i | ||||
\(898\) | −11.9474 | + | 2.66433i | −0.398689 | + | 0.0889100i | ||||
\(899\) | −0.537302 | − | 0.537302i | −0.0179200 | − | 0.0179200i | ||||
\(900\) | 13.3352 | + | 49.8138i | 0.444506 | + | 1.66046i | ||||
\(901\) | −8.62682 | + | 8.62682i | −0.287401 | + | 0.287401i | ||||
\(902\) | −3.79028 | − | 2.40802i | −0.126203 | − | 0.0801784i | ||||
\(903\) | 9.82861 | − | 9.82861i | 0.327076 | − | 0.327076i | ||||
\(904\) | 10.0604 | + | 1.28613i | 0.334604 | + | 0.0427762i | ||||
\(905\) | −28.6299 | − | 2.54418i | −0.951691 | − | 0.0845715i | ||||
\(906\) | −49.0471 | + | 10.9378i | −1.62948 | + | 0.363384i | ||||
\(907\) | 32.1815i | 1.06857i | 0.845305 | + | 0.534284i | \(0.179419\pi\) | ||||
−0.845305 | + | 0.534284i | \(0.820581\pi\) | |||||||
\(908\) | 2.78940 | − | 1.30921i | 0.0925694 | − | 0.0434477i | ||||
\(909\) | 9.51614 | − | 9.51614i | 0.315630 | − | 0.315630i | ||||
\(910\) | −9.19913 | + | 1.21000i | −0.304948 | + | 0.0401112i | ||||
\(911\) | 38.6282i | 1.27981i | 0.768455 | + | 0.639904i | \(0.221026\pi\) | ||||
−0.768455 | + | 0.639904i | \(0.778974\pi\) | |||||||
\(912\) | −6.02111 | − | 65.0744i | −0.199379 | − | 2.15483i | ||||
\(913\) | −7.13018 | + | 7.13018i | −0.235974 | + | 0.235974i | ||||
\(914\) | 22.8868 | + | 14.5403i | 0.757027 | + | 0.480950i | ||||
\(915\) | 33.5356 | + | 2.98012i | 1.10865 | + | 0.0985198i | ||||
\(916\) | 46.7264 | + | 16.8749i | 1.54388 | + | 0.557563i | ||||
\(917\) | −8.76867 | −0.289567 | ||||||||
\(918\) | −32.5289 | − | 20.6661i | −1.07361 | − | 0.682082i | ||||
\(919\) | 19.1924i | 0.633099i | 0.948576 | + | 0.316550i | \(0.102524\pi\) | ||||
−0.948576 | + | 0.316550i | \(0.897476\pi\) | |||||||
\(920\) | −8.71450 | − | 13.6074i | −0.287309 | − | 0.448622i | ||||
\(921\) | 78.1395i | 2.57479i | ||||||||
\(922\) | −1.28358 | + | 2.02038i | −0.0422725 | + | 0.0665378i | ||||
\(923\) | 6.19641 | 0.203957 | ||||||||
\(924\) | −2.33850 | + | 1.09758i | −0.0769312 | + | 0.0361079i | ||||
\(925\) | −5.15194 | + | 28.7587i | −0.169395 | + | 0.945580i | ||||
\(926\) | −22.7170 | + | 35.7571i | −0.746527 | + | 1.17505i | ||||
\(927\) | 60.1564 | − | 60.1564i | 1.97580 | − | 1.97580i | ||||
\(928\) | 29.2343 | − | 9.41870i | 0.959662 | − | 0.309184i | ||||
\(929\) | − | 16.8576i | − | 0.553081i | −0.961002 | − | 0.276541i | \(-0.910812\pi\) | ||
0.961002 | − | 0.276541i | \(-0.0891880\pi\) | |||||||
\(930\) | 0.769561 | − | 1.00267i | 0.0252349 | − | 0.0328789i | ||||
\(931\) | 26.6119 | − | 26.6119i | 0.872170 | − | 0.872170i | ||||
\(932\) | −26.5765 | − | 9.59792i | −0.870542 | − | 0.314390i | ||||
\(933\) | 45.1467i | 1.47804i | ||||||||
\(934\) | −7.64764 | − | 34.2935i | −0.250239 | − | 1.12212i | ||||
\(935\) | −5.28692 | + | 4.42397i | −0.172901 | + | 0.144679i | ||||
\(936\) | −40.3392 | − | 52.1651i | −1.31853 | − | 1.70507i | ||||
\(937\) | −23.9511 | + | 23.9511i | −0.782449 | + | 0.782449i | −0.980243 | − | 0.197795i | \(-0.936622\pi\) |
0.197795 | + | 0.980243i | \(0.436622\pi\) | |||||||
\(938\) | −1.63730 | + | 2.57715i | −0.0534599 | + | 0.0841470i | ||||
\(939\) | −39.5238 | + | 39.5238i | −1.28981 | + | 1.28981i | ||||
\(940\) | 24.5988 | − | 8.98480i | 0.802323 | − | 0.293052i | ||||
\(941\) | 14.2496 | + | 14.2496i | 0.464525 | + | 0.464525i | 0.900135 | − | 0.435610i | \(-0.143467\pi\) |
−0.435610 | + | 0.900135i | \(0.643467\pi\) | |||||||
\(942\) | −6.59784 | − | 29.5860i | −0.214969 | − | 0.963963i | ||||
\(943\) | −8.23171 | − | 8.23171i | −0.268061 | − | 0.268061i | ||||
\(944\) | 1.88940 | + | 20.4200i | 0.0614946 | + | 0.664616i | ||||
\(945\) | 8.90369 | + | 0.791222i | 0.289637 | + | 0.0257385i | ||||
\(946\) | 3.96325 | − | 6.23824i | 0.128856 | − | 0.202823i | ||||
\(947\) | 20.2943 | 0.659477 | 0.329738 | − | 0.944072i | \(-0.393039\pi\) | ||||
0.329738 | + | 0.944072i | \(0.393039\pi\) | |||||||
\(948\) | −9.37829 | − | 19.9813i | −0.304593 | − | 0.648963i | ||||
\(949\) | −11.5301 | − | 11.5301i | −0.374282 | − | 0.374282i | ||||
\(950\) | 29.7829 | + | 27.3723i | 0.966286 | + | 0.888075i | ||||
\(951\) | −99.9866 | −3.24229 | ||||||||
\(952\) | −6.42391 | + | 4.96761i | −0.208200 | + | 0.161001i | ||||
\(953\) | −10.9257 | − | 10.9257i | −0.353919 | − | 0.353919i | 0.507647 | − | 0.861565i | \(-0.330516\pi\) |
−0.861565 | + | 0.507647i | \(0.830516\pi\) | |||||||
\(954\) | 19.6293 | − | 4.37746i | 0.635524 | − | 0.141725i | ||||
\(955\) | −25.9077 | + | 21.6789i | −0.838353 | + | 0.701514i | ||||
\(956\) | −47.5730 | + | 22.3285i | −1.53862 | + | 0.722157i | ||||
\(957\) | − | 10.8062i | − | 0.349316i | ||||||
\(958\) | 7.25726 | + | 32.5429i | 0.234471 | + | 1.05141i | ||||
\(959\) | 3.39836 | 0.109739 | ||||||||
\(960\) | 21.8750 | + | 46.1699i | 0.706011 | + | 1.49013i | ||||
\(961\) | 30.9804 | 0.999368 | ||||||||
\(962\) | −8.13193 | − | 36.4651i | −0.262184 | − | 1.17568i | ||||
\(963\) | 78.9535i | 2.54424i | ||||||||
\(964\) | 0.205024 | − | 0.0962289i | 0.00660339 | − | 0.00309932i | ||||
\(965\) | 13.2032 | + | 1.17329i | 0.425025 | + | 0.0377696i | ||||
\(966\) | −6.53641 | + | 1.45766i | −0.210305 | + | 0.0468993i | ||||
\(967\) | 10.7569 | + | 10.7569i | 0.345918 | + | 0.345918i | 0.858586 | − | 0.512669i | \(-0.171343\pi\) |
−0.512669 | + | 0.858586i | \(0.671343\pi\) | |||||||
\(968\) | 23.5256 | − | 18.1923i | 0.756142 | − | 0.584724i | ||||
\(969\) | −72.2796 | −2.32195 | ||||||||
\(970\) | −21.9738 | + | 2.89032i | −0.705537 | + | 0.0928025i | ||||
\(971\) | −18.7456 | − | 18.7456i | −0.601574 | − | 0.601574i | 0.339156 | − | 0.940730i | \(-0.389858\pi\) |
−0.940730 | + | 0.339156i | \(0.889858\pi\) | |||||||
\(972\) | −10.5530 | − | 22.4842i | −0.338488 | − | 0.721180i | ||||
\(973\) | −5.01811 | −0.160873 | ||||||||
\(974\) | −2.82077 | + | 4.43995i | −0.0903832 | + | 0.142265i | ||||
\(975\) | 63.5497 | + | 11.3845i | 2.03522 | + | 0.364597i | ||||
\(976\) | 20.9980 | − | 1.94287i | 0.672130 | − | 0.0621899i | ||||
\(977\) | −26.3906 | − | 26.3906i | −0.844309 | − | 0.844309i | 0.145107 | − | 0.989416i | \(-0.453647\pi\) |
−0.989416 | + | 0.145107i | \(0.953647\pi\) | |||||||
\(978\) | −20.8603 | − | 93.5415i | −0.667039 | − | 2.99113i | ||||
\(979\) | 1.65081 | + | 1.65081i | 0.0527602 | + | 0.0527602i | ||||
\(980\) | −12.4038 | + | 26.6789i | −0.396225 | + | 0.852228i | ||||
\(981\) | −64.3556 | + | 64.3556i | −2.05472 | + | 2.05472i | ||||
\(982\) | −20.0448 | + | 31.5509i | −0.639655 | + | 1.00683i | ||||
\(983\) | −4.87875 | + | 4.87875i | −0.155608 | + | 0.155608i | −0.780617 | − | 0.625009i | \(-0.785095\pi\) |
0.625009 | + | 0.780617i | \(0.285095\pi\) | |||||||
\(984\) | 22.5161 | + | 29.1170i | 0.717788 | + | 0.928215i | ||||
\(985\) | −5.78559 | − | 6.91415i | −0.184344 | − | 0.220303i | ||||
\(986\) | −7.39381 | − | 33.1553i | −0.235467 | − | 1.05588i | ||||
\(987\) | − | 10.8537i | − | 0.345478i | ||||||
\(988\) | −48.6513 | − | 17.5701i | −1.54781 | − | 0.558979i | ||||
\(989\) | 13.5482 | − | 13.5482i | 0.430807 | − | 0.430807i | ||||
\(990\) | 11.2670 | − | 1.48200i | 0.358088 | − | 0.0471009i | ||||
\(991\) | 61.2103i | 1.94441i | 0.234130 | + | 0.972205i | \(0.424776\pi\) | ||||
−0.234130 | + | 0.972205i | \(0.575224\pi\) | |||||||
\(992\) | 0.361160 | − | 0.704492i | 0.0114668 | − | 0.0223677i | ||||
\(993\) | 48.0415 | − | 48.0415i | 1.52455 | − | 1.52455i | ||||
\(994\) | −0.674533 | + | 1.06173i | −0.0213949 | + | 0.0336760i | ||||
\(995\) | 9.31279 | − | 7.79271i | 0.295235 | − | 0.247046i | ||||
\(996\) | 74.8204 | − | 35.1172i | 2.37077 | − | 1.11273i | ||||
\(997\) | 39.1082 | 1.23857 | 0.619284 | − | 0.785167i | \(-0.287423\pi\) | ||||
0.619284 | + | 0.785167i | \(0.287423\pi\) | |||||||
\(998\) | −10.3961 | + | 16.3637i | −0.329083 | + | 0.517984i | ||||
\(999\) | 35.9935i | 1.13878i |
(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 | 80.2.j.b.67.5 | yes | 18 | |
3.2 | odd | 2 | 720.2.bd.g.307.5 | 18 | |||
4.3 | odd | 2 | 320.2.j.b.47.9 | 18 | |||
5.2 | odd | 4 | 400.2.s.d.243.9 | 18 | |||
5.3 | odd | 4 | 80.2.s.b.3.1 | yes | 18 | ||
5.4 | even | 2 | 400.2.j.d.307.5 | 18 | |||
8.3 | odd | 2 | 640.2.j.c.607.1 | 18 | |||
8.5 | even | 2 | 640.2.j.d.607.9 | 18 | |||
15.8 | even | 4 | 720.2.z.g.163.9 | 18 | |||
16.3 | odd | 4 | 640.2.s.d.287.1 | 18 | |||
16.5 | even | 4 | 320.2.s.b.207.1 | 18 | |||
16.11 | odd | 4 | 80.2.s.b.27.1 | yes | 18 | ||
16.13 | even | 4 | 640.2.s.c.287.9 | 18 | |||
20.3 | even | 4 | 320.2.s.b.303.1 | 18 | |||
20.7 | even | 4 | 1600.2.s.d.943.9 | 18 | |||
20.19 | odd | 2 | 1600.2.j.d.1007.1 | 18 | |||
40.3 | even | 4 | 640.2.s.c.223.9 | 18 | |||
40.13 | odd | 4 | 640.2.s.d.223.1 | 18 | |||
48.11 | even | 4 | 720.2.z.g.667.9 | 18 | |||
80.3 | even | 4 | 640.2.j.d.543.1 | 18 | |||
80.13 | odd | 4 | 640.2.j.c.543.9 | 18 | |||
80.27 | even | 4 | 400.2.j.d.43.5 | 18 | |||
80.37 | odd | 4 | 1600.2.j.d.143.9 | 18 | |||
80.43 | even | 4 | inner | 80.2.j.b.43.5 | ✓ | 18 | |
80.53 | odd | 4 | 320.2.j.b.143.1 | 18 | |||
80.59 | odd | 4 | 400.2.s.d.107.9 | 18 | |||
80.69 | even | 4 | 1600.2.s.d.207.9 | 18 | |||
240.203 | odd | 4 | 720.2.bd.g.523.5 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.j.b.43.5 | ✓ | 18 | 80.43 | even | 4 | inner | |
80.2.j.b.67.5 | yes | 18 | 1.1 | even | 1 | trivial | |
80.2.s.b.3.1 | yes | 18 | 5.3 | odd | 4 | ||
80.2.s.b.27.1 | yes | 18 | 16.11 | odd | 4 | ||
320.2.j.b.47.9 | 18 | 4.3 | odd | 2 | |||
320.2.j.b.143.1 | 18 | 80.53 | odd | 4 | |||
320.2.s.b.207.1 | 18 | 16.5 | even | 4 | |||
320.2.s.b.303.1 | 18 | 20.3 | even | 4 | |||
400.2.j.d.43.5 | 18 | 80.27 | even | 4 | |||
400.2.j.d.307.5 | 18 | 5.4 | even | 2 | |||
400.2.s.d.107.9 | 18 | 80.59 | odd | 4 | |||
400.2.s.d.243.9 | 18 | 5.2 | odd | 4 | |||
640.2.j.c.543.9 | 18 | 80.13 | odd | 4 | |||
640.2.j.c.607.1 | 18 | 8.3 | odd | 2 | |||
640.2.j.d.543.1 | 18 | 80.3 | even | 4 | |||
640.2.j.d.607.9 | 18 | 8.5 | even | 2 | |||
640.2.s.c.223.9 | 18 | 40.3 | even | 4 | |||
640.2.s.c.287.9 | 18 | 16.13 | even | 4 | |||
640.2.s.d.223.1 | 18 | 40.13 | odd | 4 | |||
640.2.s.d.287.1 | 18 | 16.3 | odd | 4 | |||
720.2.z.g.163.9 | 18 | 15.8 | even | 4 | |||
720.2.z.g.667.9 | 18 | 48.11 | even | 4 | |||
720.2.bd.g.307.5 | 18 | 3.2 | odd | 2 | |||
720.2.bd.g.523.5 | 18 | 240.203 | odd | 4 | |||
1600.2.j.d.143.9 | 18 | 80.37 | odd | 4 | |||
1600.2.j.d.1007.1 | 18 | 20.19 | odd | 2 | |||
1600.2.s.d.207.9 | 18 | 80.69 | even | 4 | |||
1600.2.s.d.943.9 | 18 | 20.7 | even | 4 |