Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(13,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.r (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 133.7 | ||
Character | \(\chi\) | \(=\) | 192.133 |
Dual form | 192.2.r.a.13.7 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.643008 | + | 1.25958i | −0.454675 | + | 0.890657i | ||||
\(3\) | 0.831470 | + | 0.555570i | 0.480049 | + | 0.320759i | ||||
\(4\) | −1.17308 | − | 1.61984i | −0.586541 | − | 0.809920i | ||||
\(5\) | 1.10082 | + | 0.218966i | 0.492301 | + | 0.0979247i | 0.434997 | − | 0.900432i | \(-0.356750\pi\) |
0.0573042 | + | 0.998357i | \(0.481750\pi\) | |||||||
\(6\) | −1.23443 | + | 0.690066i | −0.503953 | + | 0.281718i | ||||
\(7\) | −0.899420 | + | 2.17139i | −0.339949 | + | 0.820709i | 0.657771 | + | 0.753218i | \(0.271499\pi\) |
−0.997720 | + | 0.0674912i | \(0.978501\pi\) | |||||||
\(8\) | 2.79462 | − | 0.436020i | 0.988046 | − | 0.154156i | ||||
\(9\) | 0.382683 | + | 0.923880i | 0.127561 | + | 0.307960i | ||||
\(10\) | −0.983641 | + | 1.24577i | −0.311054 | + | 0.393947i | ||||
\(11\) | 2.85504 | + | 4.27287i | 0.860828 | + | 1.28832i | 0.956151 | + | 0.292874i | \(0.0946115\pi\) |
−0.0953232 | + | 0.995446i | \(0.530388\pi\) | |||||||
\(12\) | −0.0754472 | − | 1.99858i | −0.0217797 | − | 0.576939i | ||||
\(13\) | −2.75860 | + | 0.548720i | −0.765098 | + | 0.152188i | −0.562188 | − | 0.827010i | \(-0.690040\pi\) |
−0.202911 | + | 0.979197i | \(0.565040\pi\) | |||||||
\(14\) | −2.15671 | − | 2.52911i | −0.576404 | − | 0.675934i | ||||
\(15\) | 0.793646 | + | 0.793646i | 0.204918 | + | 0.204918i | ||||
\(16\) | −1.24776 | + | 3.80041i | −0.311940 | + | 0.950102i | ||||
\(17\) | 2.30407 | − | 2.30407i | 0.558820 | − | 0.558820i | −0.370151 | − | 0.928971i | \(-0.620694\pi\) |
0.928971 | + | 0.370151i | \(0.120694\pi\) | |||||||
\(18\) | −1.40977 | − | 0.112042i | −0.332286 | − | 0.0264085i | ||||
\(19\) | −0.562614 | − | 2.82845i | −0.129073 | − | 0.648891i | −0.990104 | − | 0.140339i | \(-0.955181\pi\) |
0.861031 | − | 0.508553i | \(-0.169819\pi\) | |||||||
\(20\) | −0.936659 | − | 2.04001i | −0.209443 | − | 0.456161i | ||||
\(21\) | −1.95420 | + | 1.30576i | −0.426442 | + | 0.284939i | ||||
\(22\) | −7.21784 | + | 0.848662i | −1.53885 | + | 0.180935i | ||||
\(23\) | 0.814910 | − | 0.337547i | 0.169921 | − | 0.0703834i | −0.296102 | − | 0.955156i | \(-0.595687\pi\) |
0.466022 | + | 0.884773i | \(0.345687\pi\) | |||||||
\(24\) | 2.56588 | + | 1.19007i | 0.523758 | + | 0.242922i | ||||
\(25\) | −3.45554 | − | 1.43133i | −0.691109 | − | 0.286267i | ||||
\(26\) | 1.08265 | − | 3.82751i | 0.212324 | − | 0.750636i | ||||
\(27\) | −0.195090 | + | 0.980785i | −0.0375451 | + | 0.188752i | ||||
\(28\) | 4.57240 | − | 1.09030i | 0.864102 | − | 0.206048i | ||||
\(29\) | 1.52765 | − | 2.28630i | 0.283678 | − | 0.424555i | −0.662076 | − | 0.749436i | \(-0.730325\pi\) |
0.945755 | + | 0.324882i | \(0.105325\pi\) | |||||||
\(30\) | −1.50998 | + | 0.489340i | −0.275683 | + | 0.0893408i | ||||
\(31\) | 3.24135i | 0.582164i | 0.956698 | + | 0.291082i | \(0.0940152\pi\) | ||||
−0.956698 | + | 0.291082i | \(0.905985\pi\) | |||||||
\(32\) | −3.98460 | − | 4.01534i | −0.704384 | − | 0.709819i | ||||
\(33\) | 5.13894i | 0.894575i | ||||||||
\(34\) | 1.42063 | + | 4.38370i | 0.243636 | + | 0.751799i | ||||
\(35\) | −1.46556 | + | 2.19337i | −0.247725 | + | 0.370746i | ||||
\(36\) | 1.04762 | − | 1.70367i | 0.174603 | − | 0.283945i | ||||
\(37\) | 1.56493 | − | 7.86745i | 0.257273 | − | 1.29340i | −0.608736 | − | 0.793373i | \(-0.708323\pi\) |
0.866009 | − | 0.500028i | \(-0.166677\pi\) | |||||||
\(38\) | 3.92443 | + | 1.11006i | 0.636626 | + | 0.180075i | ||||
\(39\) | −2.59855 | − | 1.07635i | −0.416100 | − | 0.172354i | ||||
\(40\) | 3.17184 | + | 0.131948i | 0.501512 | + | 0.0208628i | ||||
\(41\) | 4.45205 | − | 1.84410i | 0.695293 | − | 0.288000i | −0.00691036 | − | 0.999976i | \(-0.502200\pi\) |
0.702204 | + | 0.711976i | \(0.252200\pi\) | |||||||
\(42\) | −0.388136 | − | 3.30108i | −0.0598907 | − | 0.509368i | ||||
\(43\) | 9.42323 | − | 6.29640i | 1.43703 | − | 0.960192i | 0.438932 | − | 0.898520i | \(-0.355357\pi\) |
0.998097 | − | 0.0616715i | \(-0.0196431\pi\) | |||||||
\(44\) | 3.57217 | − | 9.63714i | 0.538525 | − | 1.45285i | ||||
\(45\) | 0.218966 | + | 1.10082i | 0.0326416 | + | 0.164100i | ||||
\(46\) | −0.0988266 | + | 1.24349i | −0.0145712 | + | 0.183343i | ||||
\(47\) | −3.29361 | + | 3.29361i | −0.480422 | + | 0.480422i | −0.905266 | − | 0.424844i | \(-0.860329\pi\) |
0.424844 | + | 0.905266i | \(0.360329\pi\) | |||||||
\(48\) | −3.14887 | + | 2.46671i | −0.454500 | + | 0.356038i | ||||
\(49\) | 1.04376 | + | 1.04376i | 0.149108 | + | 0.149108i | ||||
\(50\) | 4.02482 | − | 3.43217i | 0.569195 | − | 0.485383i | ||||
\(51\) | 3.19584 | − | 0.635693i | 0.447508 | − | 0.0890148i | ||||
\(52\) | 4.12490 | + | 3.82480i | 0.572021 | + | 0.530404i | ||||
\(53\) | −7.30356 | − | 10.9305i | −1.00322 | − | 1.50143i | −0.859062 | − | 0.511872i | \(-0.828952\pi\) |
−0.144159 | − | 0.989554i | \(-0.546048\pi\) | |||||||
\(54\) | −1.10993 | − | 0.876384i | −0.151043 | − | 0.119261i | ||||
\(55\) | 2.20727 | + | 5.32882i | 0.297628 | + | 0.718538i | ||||
\(56\) | −1.56676 | + | 6.46038i | −0.209368 | + | 0.863304i | ||||
\(57\) | 1.10361 | − | 2.66434i | 0.146176 | − | 0.352901i | ||||
\(58\) | 1.89748 | + | 3.39431i | 0.249151 | + | 0.445695i | ||||
\(59\) | 11.9601 | + | 2.37900i | 1.55707 | + | 0.309720i | 0.897187 | − | 0.441652i | \(-0.145607\pi\) |
0.659880 | + | 0.751371i | \(0.270607\pi\) | |||||||
\(60\) | 0.354567 | − | 2.21659i | 0.0457744 | − | 0.286161i | ||||
\(61\) | −2.93711 | − | 1.96252i | −0.376059 | − | 0.251274i | 0.353149 | − | 0.935567i | \(-0.385111\pi\) |
−0.729207 | + | 0.684293i | \(0.760111\pi\) | |||||||
\(62\) | −4.08274 | − | 2.08421i | −0.518509 | − | 0.264696i | ||||
\(63\) | −2.35030 | −0.296110 | ||||||||
\(64\) | 7.61977 | − | 2.43702i | 0.952472 | − | 0.304627i | ||||
\(65\) | −3.15687 | −0.391562 | ||||||||
\(66\) | −6.47291 | − | 3.30438i | −0.796760 | − | 0.406741i | ||||
\(67\) | −8.01120 | − | 5.35291i | −0.978724 | − | 0.653962i | −0.0402053 | − | 0.999191i | \(-0.512801\pi\) |
−0.938518 | + | 0.345229i | \(0.887801\pi\) | |||||||
\(68\) | −6.43510 | − | 1.02936i | −0.780370 | − | 0.124829i | ||||
\(69\) | 0.865104 | + | 0.172080i | 0.104146 | + | 0.0207160i | ||||
\(70\) | −1.82035 | − | 3.25634i | −0.217574 | − | 0.389207i | ||||
\(71\) | −5.44734 | + | 13.1510i | −0.646481 | + | 1.56074i | 0.171304 | + | 0.985218i | \(0.445202\pi\) |
−0.817785 | + | 0.575524i | \(0.804798\pi\) | |||||||
\(72\) | 1.47228 | + | 2.41503i | 0.173510 | + | 0.284614i | ||||
\(73\) | −3.71675 | − | 8.97304i | −0.435013 | − | 1.05021i | −0.977649 | − | 0.210246i | \(-0.932573\pi\) |
0.542635 | − | 0.839968i | \(-0.317427\pi\) | |||||||
\(74\) | 8.90342 | + | 7.02999i | 1.03500 | + | 0.817220i | ||||
\(75\) | −2.07797 | − | 3.10991i | −0.239944 | − | 0.359101i | ||||
\(76\) | −3.92165 | + | 4.22935i | −0.449844 | + | 0.485140i | ||||
\(77\) | −11.8460 | + | 2.35631i | −1.34997 | + | 0.268526i | ||||
\(78\) | 3.02664 | − | 2.58097i | 0.342699 | − | 0.292238i | ||||
\(79\) | −4.99132 | − | 4.99132i | −0.561567 | − | 0.561567i | 0.368185 | − | 0.929752i | \(-0.379979\pi\) |
−0.929752 | + | 0.368185i | \(0.879979\pi\) | |||||||
\(80\) | −2.20572 | + | 3.91034i | −0.246607 | + | 0.437189i | ||||
\(81\) | −0.707107 | + | 0.707107i | −0.0785674 | + | 0.0785674i | ||||
\(82\) | −0.539913 | + | 6.79348i | −0.0596234 | + | 0.750214i | ||||
\(83\) | −0.535891 | − | 2.69411i | −0.0588217 | − | 0.295717i | 0.940165 | − | 0.340719i | \(-0.110670\pi\) |
−0.998987 | + | 0.0450023i | \(0.985670\pi\) | |||||||
\(84\) | 4.40755 | + | 1.63373i | 0.480903 | + | 0.178255i | ||||
\(85\) | 3.04088 | − | 2.03185i | 0.329830 | − | 0.220385i | ||||
\(86\) | 1.87161 | + | 15.9179i | 0.201820 | + | 1.71648i | ||||
\(87\) | 2.54040 | − | 1.05227i | 0.272359 | − | 0.112815i | ||||
\(88\) | 9.84181 | + | 10.6962i | 1.04914 | + | 1.14022i | ||||
\(89\) | 7.33117 | + | 3.03667i | 0.777103 | + | 0.321886i | 0.735746 | − | 0.677258i | \(-0.236832\pi\) |
0.0413570 | + | 0.999144i | \(0.486832\pi\) | |||||||
\(90\) | −1.52737 | − | 0.432029i | −0.160998 | − | 0.0455399i | ||||
\(91\) | 1.28966 | − | 6.48354i | 0.135193 | − | 0.679659i | ||||
\(92\) | −1.50273 | − | 0.924054i | −0.156670 | − | 0.0963393i | ||||
\(93\) | −1.80080 | + | 2.69509i | −0.186734 | + | 0.279467i | ||||
\(94\) | −2.03074 | − | 6.26638i | −0.209455 | − | 0.646327i | ||||
\(95\) | − | 3.23681i | − | 0.332089i | ||||||
\(96\) | −1.08227 | − | 5.55236i | −0.110458 | − | 0.566685i | ||||
\(97\) | 17.2593i | 1.75242i | 0.481929 | + | 0.876210i | \(0.339936\pi\) | ||||
−0.481929 | + | 0.876210i | \(0.660064\pi\) | |||||||
\(98\) | −1.98584 | + | 0.643553i | −0.200600 | + | 0.0650086i | ||||
\(99\) | −2.85504 | + | 4.27287i | −0.286943 | + | 0.429440i | ||||
\(100\) | 1.73510 | + | 7.27649i | 0.173510 | + | 0.727649i | ||||
\(101\) | 0.500457 | − | 2.51597i | 0.0497973 | − | 0.250348i | −0.947866 | − | 0.318669i | \(-0.896764\pi\) |
0.997663 | + | 0.0683209i | \(0.0217642\pi\) | |||||||
\(102\) | −1.25425 | + | 4.43417i | −0.124189 | + | 0.439049i | ||||
\(103\) | −11.3461 | − | 4.69970i | −1.11796 | − | 0.463075i | −0.254289 | − | 0.967128i | \(-0.581841\pi\) |
−0.863672 | + | 0.504053i | \(0.831841\pi\) | |||||||
\(104\) | −7.46998 | + | 2.73627i | −0.732492 | + | 0.268313i | ||||
\(105\) | −2.43714 | + | 1.00950i | −0.237840 | + | 0.0985167i | ||||
\(106\) | 18.4641 | − | 2.17099i | 1.79340 | − | 0.210865i | ||||
\(107\) | −10.8795 | + | 7.26942i | −1.05176 | + | 0.702761i | −0.956215 | − | 0.292664i | \(-0.905458\pi\) |
−0.0955411 | + | 0.995425i | \(0.530458\pi\) | |||||||
\(108\) | 1.81757 | − | 0.834526i | 0.174896 | − | 0.0803023i | ||||
\(109\) | 1.37249 | + | 6.89995i | 0.131460 | + | 0.660896i | 0.989172 | + | 0.146764i | \(0.0468858\pi\) |
−0.857711 | + | 0.514132i | \(0.828114\pi\) | |||||||
\(110\) | −8.13136 | − | 0.646241i | −0.775295 | − | 0.0616167i | ||||
\(111\) | 5.67212 | − | 5.67212i | 0.538373 | − | 0.538373i | ||||
\(112\) | −7.12992 | − | 6.12754i | −0.673714 | − | 0.578998i | ||||
\(113\) | 5.40400 | + | 5.40400i | 0.508366 | + | 0.508366i | 0.914025 | − | 0.405659i | \(-0.132958\pi\) |
−0.405659 | + | 0.914025i | \(0.632958\pi\) | |||||||
\(114\) | 2.64632 | + | 3.10328i | 0.247851 | + | 0.290648i | ||||
\(115\) | 0.970980 | − | 0.193140i | 0.0905443 | − | 0.0180104i | ||||
\(116\) | −5.49550 | + | 0.207458i | −0.510244 | + | 0.0192620i | ||||
\(117\) | −1.56262 | − | 2.33863i | −0.144464 | − | 0.216206i | ||||
\(118\) | −10.6870 | + | 13.5349i | −0.983814 | + | 1.24599i | ||||
\(119\) | 2.93072 | + | 7.07538i | 0.268659 | + | 0.648599i | ||||
\(120\) | 2.56398 | + | 1.87189i | 0.234058 | + | 0.170879i | ||||
\(121\) | −5.89666 | + | 14.2358i | −0.536060 | + | 1.29416i | ||||
\(122\) | 4.36053 | − | 2.43761i | 0.394784 | − | 0.220691i | ||||
\(123\) | 4.72627 | + | 0.940113i | 0.426153 | + | 0.0847672i | ||||
\(124\) | 5.25047 | − | 3.80237i | 0.471506 | − | 0.341463i | ||||
\(125\) | −8.15666 | − | 5.45010i | −0.729553 | − | 0.487472i | ||||
\(126\) | 1.51126 | − | 2.96039i | 0.134634 | − | 0.263732i | ||||
\(127\) | 10.6369 | 0.943874 | 0.471937 | − | 0.881632i | \(-0.343555\pi\) | ||||
0.471937 | + | 0.881632i | \(0.343555\pi\) | |||||||
\(128\) | −1.82995 | + | 11.1647i | −0.161747 | + | 0.986832i | ||||
\(129\) | 11.3332 | 0.997834 | ||||||||
\(130\) | 2.02989 | − | 3.97633i | 0.178033 | − | 0.348747i | ||||
\(131\) | −8.36414 | − | 5.58874i | −0.730778 | − | 0.488290i | 0.133662 | − | 0.991027i | \(-0.457326\pi\) |
−0.864440 | + | 0.502737i | \(0.832326\pi\) | |||||||
\(132\) | 8.32426 | − | 6.02840i | 0.724534 | − | 0.524705i | ||||
\(133\) | 6.64771 | + | 1.32231i | 0.576429 | + | 0.114659i | ||||
\(134\) | 11.8937 | − | 6.64878i | 1.02746 | − | 0.574367i | ||||
\(135\) | −0.429518 | + | 1.03695i | −0.0369670 | + | 0.0892463i | ||||
\(136\) | 5.43438 | − | 7.44363i | 0.465994 | − | 0.638286i | ||||
\(137\) | −1.30777 | − | 3.15723i | −0.111730 | − | 0.269741i | 0.858117 | − | 0.513454i | \(-0.171634\pi\) |
−0.969847 | + | 0.243714i | \(0.921634\pi\) | |||||||
\(138\) | −0.773017 | + | 0.979019i | −0.0658036 | + | 0.0833396i | ||||
\(139\) | −9.85523 | − | 14.7494i | −0.835910 | − | 1.25103i | −0.965745 | − | 0.259492i | \(-0.916445\pi\) |
0.129835 | − | 0.991536i | \(-0.458555\pi\) | |||||||
\(140\) | 5.27212 | − | 0.199025i | 0.445576 | − | 0.0168207i | ||||
\(141\) | −4.56836 | + | 0.908704i | −0.384726 | + | 0.0765267i | ||||
\(142\) | −13.0621 | − | 15.3176i | −1.09615 | − | 1.28542i | ||||
\(143\) | −10.2205 | − | 10.2205i | −0.854684 | − | 0.854684i | ||||
\(144\) | −3.98862 | + | 0.301574i | −0.332385 | + | 0.0251312i | ||||
\(145\) | 2.18229 | − | 2.18229i | 0.181230 | − | 0.181230i | ||||
\(146\) | 13.6922 | + | 1.08819i | 1.13317 | + | 0.0900589i | ||||
\(147\) | 0.287973 | + | 1.44774i | 0.0237516 | + | 0.119407i | ||||
\(148\) | −14.5798 | + | 6.69422i | −1.19845 | + | 0.550262i | ||||
\(149\) | 11.9841 | − | 8.00750i | 0.981773 | − | 0.656000i | 0.0424734 | − | 0.999098i | \(-0.486476\pi\) |
0.939300 | + | 0.343098i | \(0.111476\pi\) | |||||||
\(150\) | 5.25333 | − | 0.617678i | 0.428932 | − | 0.0504332i | ||||
\(151\) | 4.12805 | − | 1.70989i | 0.335936 | − | 0.139149i | −0.208338 | − | 0.978057i | \(-0.566805\pi\) |
0.544274 | + | 0.838908i | \(0.316805\pi\) | |||||||
\(152\) | −2.80555 | − | 7.65913i | −0.227560 | − | 0.621238i | ||||
\(153\) | 3.01042 | + | 1.24696i | 0.243378 | + | 0.100810i | ||||
\(154\) | 4.64909 | − | 16.4361i | 0.374635 | − | 1.32446i | ||||
\(155\) | −0.709747 | + | 3.56814i | −0.0570082 | + | 0.286600i | ||||
\(156\) | 1.30479 | + | 5.47188i | 0.104467 | + | 0.438101i | ||||
\(157\) | 8.53816 | − | 12.7783i | 0.681420 | − | 1.01982i | −0.316051 | − | 0.948742i | \(-0.602357\pi\) |
0.997471 | − | 0.0710744i | \(-0.0226428\pi\) | |||||||
\(158\) | 9.49642 | − | 3.07751i | 0.755495 | − | 0.244833i | ||||
\(159\) | − | 13.1461i | − | 1.04255i | ||||||
\(160\) | −3.50709 | − | 5.29266i | −0.277260 | − | 0.418421i | ||||
\(161\) | 2.07309i | 0.163382i | ||||||||
\(162\) | −0.435982 | − | 1.34533i | −0.0342540 | − | 0.105699i | ||||
\(163\) | 0.621330 | − | 0.929886i | 0.0486663 | − | 0.0728343i | −0.806339 | − | 0.591454i | \(-0.798554\pi\) |
0.855005 | + | 0.518620i | \(0.173554\pi\) | |||||||
\(164\) | −8.20976 | − | 5.04832i | −0.641075 | − | 0.394208i | ||||
\(165\) | −1.12526 | + | 5.65704i | −0.0876010 | + | 0.440400i | ||||
\(166\) | 3.73803 | + | 1.05733i | 0.290127 | + | 0.0820651i | ||||
\(167\) | 5.86233 | + | 2.42826i | 0.453640 | + | 0.187904i | 0.597791 | − | 0.801652i | \(-0.296045\pi\) |
−0.144151 | + | 0.989556i | \(0.546045\pi\) | |||||||
\(168\) | −4.89191 | + | 4.50116i | −0.377419 | + | 0.347272i | ||||
\(169\) | −4.70164 | + | 1.94748i | −0.361665 | + | 0.149807i | ||||
\(170\) | 0.603969 | + | 5.13673i | 0.0463223 | + | 0.393969i | ||||
\(171\) | 2.39785 | − | 1.60219i | 0.183368 | − | 0.122522i | ||||
\(172\) | −21.2534 | − | 7.87792i | −1.62055 | − | 0.600686i | ||||
\(173\) | 4.10805 | + | 20.6526i | 0.312329 | + | 1.57019i | 0.744015 | + | 0.668162i | \(0.232919\pi\) |
−0.431686 | + | 0.902024i | \(0.642081\pi\) | |||||||
\(174\) | −0.308081 | + | 3.87645i | −0.0233556 | + | 0.293873i | ||||
\(175\) | 6.21597 | − | 6.21597i | 0.469883 | − | 0.469883i | ||||
\(176\) | −19.8011 | + | 5.51881i | −1.49256 | + | 0.415996i | ||||
\(177\) | 8.62272 | + | 8.62272i | 0.648123 | + | 0.648123i | ||||
\(178\) | −8.53893 | + | 7.28159i | −0.640020 | + | 0.545778i | ||||
\(179\) | 5.09852 | − | 1.01416i | 0.381081 | − | 0.0758018i | −0.000832665 | − | 1.00000i | \(-0.500265\pi\) |
0.381914 | + | 0.924198i | \(0.375265\pi\) | |||||||
\(180\) | 1.52628 | − | 1.64604i | 0.113762 | − | 0.122689i | ||||
\(181\) | 13.5006 | + | 20.2051i | 1.00349 | + | 1.50183i | 0.858770 | + | 0.512361i | \(0.171229\pi\) |
0.144723 | + | 0.989472i | \(0.453771\pi\) | |||||||
\(182\) | 7.33727 | + | 5.79339i | 0.543875 | + | 0.429435i | ||||
\(183\) | −1.35180 | − | 3.26355i | −0.0999283 | − | 0.241248i | ||||
\(184\) | 2.13019 | − | 1.29863i | 0.157039 | − | 0.0957364i | ||||
\(185\) | 3.44542 | − | 8.31797i | 0.253312 | − | 0.611549i | ||||
\(186\) | −2.23675 | − | 4.00121i | −0.164006 | − | 0.293383i | ||||
\(187\) | 16.4233 | + | 3.26679i | 1.20099 | + | 0.238891i | ||||
\(188\) | 9.19878 | + | 1.47144i | 0.670890 | + | 0.107316i | ||||
\(189\) | −1.95420 | − | 1.30576i | −0.142147 | − | 0.0949798i | ||||
\(190\) | 4.07701 | + | 2.08129i | 0.295778 | + | 0.150993i | ||||
\(191\) | −16.2783 | −1.17785 | −0.588927 | − | 0.808186i | \(-0.700449\pi\) | ||||
−0.588927 | + | 0.808186i | \(0.700449\pi\) | |||||||
\(192\) | 7.68954 | + | 2.20701i | 0.554945 | + | 0.159277i | ||||
\(193\) | −10.3258 | −0.743267 | −0.371634 | − | 0.928380i | \(-0.621202\pi\) | ||||
−0.371634 | + | 0.928380i | \(0.621202\pi\) | |||||||
\(194\) | −21.7395 | − | 11.0979i | −1.56081 | − | 0.796782i | ||||
\(195\) | −2.62484 | − | 1.75386i | −0.187969 | − | 0.125597i | ||||
\(196\) | 0.466307 | − | 2.91514i | 0.0333077 | − | 0.208224i | ||||
\(197\) | 16.8611 | + | 3.35388i | 1.20130 | + | 0.238954i | 0.754877 | − | 0.655866i | \(-0.227696\pi\) |
0.446427 | + | 0.894820i | \(0.352696\pi\) | |||||||
\(198\) | −3.54621 | − | 6.34365i | −0.252018 | − | 0.450823i | ||||
\(199\) | −7.04678 | + | 17.0124i | −0.499533 | + | 1.20598i | 0.450203 | + | 0.892926i | \(0.351352\pi\) |
−0.949736 | + | 0.313053i | \(0.898648\pi\) | |||||||
\(200\) | −10.2810 | − | 2.49334i | −0.726977 | − | 0.176306i | ||||
\(201\) | −3.68715 | − | 8.90157i | −0.260072 | − | 0.627868i | ||||
\(202\) | 2.84726 | + | 2.24815i | 0.200333 | + | 0.158179i | ||||
\(203\) | 3.59044 | + | 5.37348i | 0.252000 | + | 0.377144i | ||||
\(204\) | −4.77870 | − | 4.43103i | −0.334576 | − | 0.310234i | ||||
\(205\) | 5.30469 | − | 1.05517i | 0.370496 | − | 0.0736962i | ||||
\(206\) | 13.2153 | − | 11.2693i | 0.920750 | − | 0.785172i | ||||
\(207\) | 0.623705 | + | 0.623705i | 0.0433505 | + | 0.0433505i | ||||
\(208\) | 1.35671 | − | 11.1685i | 0.0940709 | − | 0.774395i | ||||
\(209\) | 10.4793 | − | 10.4793i | 0.724871 | − | 0.724871i | ||||
\(210\) | 0.295559 | − | 3.71888i | 0.0203955 | − | 0.256627i | ||||
\(211\) | −1.79805 | − | 9.03940i | −0.123783 | − | 0.622298i | −0.992013 | − | 0.126136i | \(-0.959742\pi\) |
0.868230 | − | 0.496162i | \(-0.165258\pi\) | |||||||
\(212\) | −9.13806 | + | 24.6530i | −0.627605 | + | 1.69318i | ||||
\(213\) | −11.8356 | + | 7.90832i | −0.810964 | + | 0.541869i | ||||
\(214\) | −2.16084 | − | 18.3778i | −0.147712 | − | 1.25628i | ||||
\(215\) | 11.7520 | − | 4.86782i | 0.801477 | − | 0.331983i | ||||
\(216\) | −0.117561 | + | 2.82598i | −0.00799898 | + | 0.192284i | ||||
\(217\) | −7.03825 | − | 2.91534i | −0.477787 | − | 0.197906i | ||||
\(218\) | −9.57356 | − | 2.70797i | −0.648403 | − | 0.183407i | ||||
\(219\) | 1.89478 | − | 9.52572i | 0.128038 | − | 0.643689i | ||||
\(220\) | 6.04252 | − | 9.82656i | 0.407387 | − | 0.662506i | ||||
\(221\) | −5.09173 | + | 7.62031i | −0.342507 | + | 0.512598i | ||||
\(222\) | 3.49727 | + | 10.7917i | 0.234721 | + | 0.724291i | ||||
\(223\) | 21.8970i | 1.46633i | 0.680050 | + | 0.733166i | \(0.261958\pi\) | ||||
−0.680050 | + | 0.733166i | \(0.738042\pi\) | |||||||
\(224\) | 12.3027 | − | 5.04064i | 0.822010 | − | 0.336792i | ||||
\(225\) | − | 3.74025i | − | 0.249350i | ||||||
\(226\) | −10.2816 | + | 3.33195i | −0.683921 | + | 0.221638i | ||||
\(227\) | −9.75700 | + | 14.6024i | −0.647595 | + | 0.969194i | 0.351856 | + | 0.936054i | \(0.385551\pi\) |
−0.999451 | + | 0.0331402i | \(0.989449\pi\) | |||||||
\(228\) | −5.61043 | + | 1.33783i | −0.371560 | + | 0.0885997i | ||||
\(229\) | −1.26054 | + | 6.33717i | −0.0832990 | + | 0.418772i | 0.916524 | + | 0.399979i | \(0.130983\pi\) |
−0.999823 | + | 0.0187935i | \(0.994017\pi\) | |||||||
\(230\) | −0.381073 | + | 1.34722i | −0.0251272 | + | 0.0888329i | ||||
\(231\) | −11.1587 | − | 4.62207i | −0.734186 | − | 0.304110i | ||||
\(232\) | 3.27234 | − | 7.05541i | 0.214840 | − | 0.463211i | ||||
\(233\) | −9.09184 | + | 3.76596i | −0.595626 | + | 0.246717i | −0.660069 | − | 0.751205i | \(-0.729473\pi\) |
0.0644427 | + | 0.997921i | \(0.479473\pi\) | |||||||
\(234\) | 3.95047 | − | 0.464490i | 0.258250 | − | 0.0303647i | ||||
\(235\) | −4.34685 | + | 2.90447i | −0.283557 | + | 0.189467i | ||||
\(236\) | −10.1765 | − | 22.1641i | −0.662435 | − | 1.44276i | ||||
\(237\) | −1.37710 | − | 6.92316i | −0.0894524 | − | 0.449707i | ||||
\(238\) | −10.7965 | − | 0.858052i | −0.699832 | − | 0.0556193i | ||||
\(239\) | 18.5979 | − | 18.5979i | 1.20300 | − | 1.20300i | 0.229746 | − | 0.973251i | \(-0.426211\pi\) |
0.973251 | − | 0.229746i | \(-0.0737895\pi\) | |||||||
\(240\) | −4.00646 | + | 2.02590i | −0.258616 | + | 0.130771i | ||||
\(241\) | 4.77013 | + | 4.77013i | 0.307271 | + | 0.307271i | 0.843850 | − | 0.536579i | \(-0.180284\pi\) |
−0.536579 | + | 0.843850i | \(0.680284\pi\) | |||||||
\(242\) | −14.1395 | − | 16.5811i | −0.908923 | − | 1.06587i | ||||
\(243\) | −0.980785 | + | 0.195090i | −0.0629174 | + | 0.0125150i | ||||
\(244\) | 0.266513 | + | 7.05984i | 0.0170617 | + | 0.451960i | ||||
\(245\) | 0.920441 | + | 1.37754i | 0.0588048 | + | 0.0880077i | ||||
\(246\) | −4.22318 | + | 5.34861i | −0.269260 | + | 0.341015i | ||||
\(247\) | 3.10406 | + | 7.49386i | 0.197506 | + | 0.476823i | ||||
\(248\) | 1.41329 | + | 9.05834i | 0.0897443 | + | 0.575205i | ||||
\(249\) | 1.05119 | − | 2.53779i | 0.0666164 | − | 0.160826i | ||||
\(250\) | 12.1096 | − | 6.76950i | 0.765880 | − | 0.428141i | ||||
\(251\) | 9.01248 | + | 1.79269i | 0.568863 | + | 0.113154i | 0.471138 | − | 0.882060i | \(-0.343843\pi\) |
0.0977249 | + | 0.995213i | \(0.468843\pi\) | |||||||
\(252\) | 2.75709 | + | 3.80711i | 0.173680 | + | 0.239825i | ||||
\(253\) | 3.76890 | + | 2.51830i | 0.236949 | + | 0.158324i | ||||
\(254\) | −6.83962 | + | 13.3980i | −0.429156 | + | 0.840668i | ||||
\(255\) | 3.65724 | 0.229025 | ||||||||
\(256\) | −12.8862 | − | 9.48398i | −0.805387 | − | 0.592749i | ||||
\(257\) | −13.9513 | −0.870260 | −0.435130 | − | 0.900368i | \(-0.643298\pi\) | ||||
−0.435130 | + | 0.900368i | \(0.643298\pi\) | |||||||
\(258\) | −7.28735 | + | 14.2751i | −0.453691 | + | 0.888728i | ||||
\(259\) | 15.6758 | + | 10.4742i | 0.974046 | + | 0.650837i | ||||
\(260\) | 3.70327 | + | 5.11362i | 0.229667 | + | 0.317133i | ||||
\(261\) | 2.69687 | + | 0.536441i | 0.166932 | + | 0.0332049i | ||||
\(262\) | 12.4177 | − | 6.94169i | 0.767166 | − | 0.428859i | ||||
\(263\) | 8.37970 | − | 20.2304i | 0.516714 | − | 1.24746i | −0.423196 | − | 0.906038i | \(-0.639092\pi\) |
0.939911 | − | 0.341421i | \(-0.110908\pi\) | |||||||
\(264\) | 2.24068 | + | 14.3614i | 0.137905 | + | 0.883882i | ||||
\(265\) | −5.64647 | − | 13.6318i | −0.346860 | − | 0.837394i | ||||
\(266\) | −5.94008 | + | 7.52306i | −0.364210 | + | 0.461268i | ||||
\(267\) | 4.40856 | + | 6.59788i | 0.269800 | + | 0.403784i | ||||
\(268\) | 0.726933 | + | 19.2563i | 0.0444045 | + | 1.17626i | ||||
\(269\) | −15.0982 | + | 3.00321i | −0.920551 | + | 0.183109i | −0.632549 | − | 0.774521i | \(-0.717991\pi\) |
−0.288002 | + | 0.957630i | \(0.592991\pi\) | |||||||
\(270\) | −1.02994 | − | 1.20778i | −0.0626799 | − | 0.0735030i | ||||
\(271\) | −4.11471 | − | 4.11471i | −0.249951 | − | 0.249951i | 0.571000 | − | 0.820950i | \(-0.306556\pi\) |
−0.820950 | + | 0.571000i | \(0.806556\pi\) | |||||||
\(272\) | 5.88149 | + | 11.6314i | 0.356618 | + | 0.705254i | ||||
\(273\) | 4.67437 | − | 4.67437i | 0.282906 | − | 0.282906i | ||||
\(274\) | 4.81769 | + | 0.382887i | 0.291047 | + | 0.0231310i | ||||
\(275\) | −3.74982 | − | 18.8516i | −0.226123 | − | 1.13680i | ||||
\(276\) | −0.736096 | − | 1.60319i | −0.0443078 | − | 0.0965009i | ||||
\(277\) | −8.81737 | + | 5.89158i | −0.529785 | + | 0.353991i | −0.791514 | − | 0.611150i | \(-0.790707\pi\) |
0.261730 | + | 0.965141i | \(0.415707\pi\) | |||||||
\(278\) | 24.9150 | − | 2.92947i | 1.49430 | − | 0.175698i | ||||
\(279\) | −2.99462 | + | 1.24041i | −0.179283 | + | 0.0742615i | ||||
\(280\) | −3.13933 | + | 6.76863i | −0.187611 | + | 0.404503i | ||||
\(281\) | 5.40709 | + | 2.23969i | 0.322560 | + | 0.133609i | 0.538087 | − | 0.842889i | \(-0.319147\pi\) |
−0.215528 | + | 0.976498i | \(0.569147\pi\) | |||||||
\(282\) | 1.79291 | − | 6.33852i | 0.106766 | − | 0.377454i | ||||
\(283\) | −3.84399 | + | 19.3250i | −0.228501 | + | 1.14875i | 0.680753 | + | 0.732513i | \(0.261653\pi\) |
−0.909254 | + | 0.416241i | \(0.863347\pi\) | |||||||
\(284\) | 27.6928 | − | 6.60343i | 1.64326 | − | 0.391842i | ||||
\(285\) | 1.79827 | − | 2.69131i | 0.106520 | − | 0.159419i | ||||
\(286\) | 19.4455 | − | 6.30170i | 1.14983 | − | 0.372627i | ||||
\(287\) | 11.3258i | 0.668539i | ||||||||
\(288\) | 2.18485 | − | 5.21789i | 0.128744 | − | 0.307467i | ||||
\(289\) | 6.38248i | 0.375440i | ||||||||
\(290\) | 1.34554 | + | 4.15200i | 0.0790128 | + | 0.243814i | ||||
\(291\) | −9.58877 | + | 14.3506i | −0.562104 | + | 0.841248i | ||||
\(292\) | −10.1748 | + | 16.5466i | −0.595436 | + | 0.968319i | ||||
\(293\) | 4.45109 | − | 22.3772i | 0.260036 | − | 1.30729i | −0.601207 | − | 0.799093i | \(-0.705313\pi\) |
0.861243 | − | 0.508194i | \(-0.169687\pi\) | |||||||
\(294\) | −2.00871 | − | 0.568181i | −0.117150 | − | 0.0331370i | ||||
\(295\) | 12.6449 | + | 5.23770i | 0.736216 | + | 0.304951i | ||||
\(296\) | 0.943022 | − | 22.6689i | 0.0548120 | − | 1.31760i | ||||
\(297\) | −4.74776 | + | 1.96659i | −0.275493 | + | 0.114113i | ||||
\(298\) | 2.38023 | + | 20.2438i | 0.137883 | + | 1.17269i | ||||
\(299\) | −2.06279 | + | 1.37832i | −0.119294 | + | 0.0797100i | ||||
\(300\) | −2.59992 | + | 7.01416i | −0.150106 | + | 0.404963i | ||||
\(301\) | 5.19651 | + | 26.1246i | 0.299522 | + | 1.50580i | ||||
\(302\) | −0.500621 | + | 6.29908i | −0.0288075 | + | 0.362471i | ||||
\(303\) | 1.81391 | − | 1.81391i | 0.104206 | − | 0.104206i | ||||
\(304\) | 11.4513 | + | 1.39106i | 0.656776 | + | 0.0797830i | ||||
\(305\) | −2.80350 | − | 2.80350i | −0.160528 | − | 0.160528i | ||||
\(306\) | −3.50636 | + | 2.99006i | −0.200445 | + | 0.170930i | ||||
\(307\) | −22.0815 | + | 4.39228i | −1.26026 | + | 0.250680i | −0.779627 | − | 0.626244i | \(-0.784591\pi\) |
−0.480628 | + | 0.876924i | \(0.659591\pi\) | |||||||
\(308\) | 17.7131 | + | 16.4244i | 1.00930 | + | 0.935868i | ||||
\(309\) | −6.82290 | − | 10.2112i | −0.388141 | − | 0.580894i | ||||
\(310\) | −4.03798 | − | 3.18832i | −0.229342 | − | 0.181085i | ||||
\(311\) | −2.08804 | − | 5.04097i | −0.118402 | − | 0.285847i | 0.853557 | − | 0.521000i | \(-0.174441\pi\) |
−0.971958 | + | 0.235153i | \(0.924441\pi\) | |||||||
\(312\) | −7.73125 | − | 1.87498i | −0.437696 | − | 0.106150i | ||||
\(313\) | −3.53449 | + | 8.53301i | −0.199781 | + | 0.482314i | −0.991741 | − | 0.128259i | \(-0.959061\pi\) |
0.791960 | + | 0.610574i | \(0.209061\pi\) | |||||||
\(314\) | 10.6051 | + | 18.9710i | 0.598482 | + | 1.07060i | ||||
\(315\) | −2.58725 | − | 0.514636i | −0.145775 | − | 0.0289965i | ||||
\(316\) | −2.22991 | + | 13.9404i | −0.125442 | + | 0.784206i | ||||
\(317\) | −0.332653 | − | 0.222271i | −0.0186836 | − | 0.0124840i | 0.546193 | − | 0.837659i | \(-0.316076\pi\) |
−0.564877 | + | 0.825175i | \(0.691076\pi\) | |||||||
\(318\) | 16.5585 | + | 8.45302i | 0.928555 | + | 0.474022i | ||||
\(319\) | 14.1306 | 0.791161 | ||||||||
\(320\) | 8.92161 | − | 1.01424i | 0.498733 | − | 0.0566978i | ||||
\(321\) | −13.0846 | −0.730311 | ||||||||
\(322\) | −2.61122 | − | 1.33301i | −0.145517 | − | 0.0742858i | ||||
\(323\) | −7.81327 | − | 5.22066i | −0.434742 | − | 0.290485i | ||||
\(324\) | 1.97489 | + | 0.315905i | 0.109716 | + | 0.0175503i | ||||
\(325\) | 10.3179 | + | 2.05235i | 0.572332 | + | 0.113844i | ||||
\(326\) | 0.771745 | + | 1.38054i | 0.0427430 | + | 0.0764609i | ||||
\(327\) | −2.69223 | + | 6.49962i | −0.148881 | + | 0.359430i | ||||
\(328\) | 11.6377 | − | 7.09473i | 0.642585 | − | 0.391741i | ||||
\(329\) | −4.18938 | − | 10.1140i | −0.230968 | − | 0.557606i | ||||
\(330\) | −6.40195 | − | 5.05487i | −0.352416 | − | 0.278262i | ||||
\(331\) | −11.7805 | − | 17.6308i | −0.647517 | − | 0.969078i | −0.999454 | − | 0.0330542i | \(-0.989477\pi\) |
0.351936 | − | 0.936024i | \(-0.385523\pi\) | |||||||
\(332\) | −3.73538 | + | 4.02847i | −0.205005 | + | 0.221091i | ||||
\(333\) | 7.86745 | − | 1.56493i | 0.431134 | − | 0.0857578i | ||||
\(334\) | −6.82810 | + | 5.82268i | −0.373617 | + | 0.318603i | ||||
\(335\) | −7.64677 | − | 7.64677i | −0.417788 | − | 0.417788i | ||||
\(336\) | −2.52403 | − | 9.05603i | −0.137697 | − | 0.494047i | ||||
\(337\) | 16.3796 | − | 16.3796i | 0.892255 | − | 0.892255i | −0.102480 | − | 0.994735i | \(-0.532678\pi\) |
0.994735 | + | 0.102480i | \(0.0326778\pi\) | |||||||
\(338\) | 0.570182 | − | 7.17434i | 0.0310138 | − | 0.390233i | ||||
\(339\) | 1.49096 | + | 7.49556i | 0.0809779 | + | 0.407103i | ||||
\(340\) | −6.85848 | − | 2.54221i | −0.371953 | − | 0.137871i | ||||
\(341\) | −13.8499 | + | 9.25420i | −0.750013 | + | 0.501143i | ||||
\(342\) | 0.476251 | + | 4.05050i | 0.0257527 | + | 0.219026i | ||||
\(343\) | −18.4049 | + | 7.62357i | −0.993773 | + | 0.411634i | ||||
\(344\) | 23.5890 | − | 21.7047i | 1.27183 | − | 1.17024i | ||||
\(345\) | 0.914643 | + | 0.378858i | 0.0492427 | + | 0.0203970i | ||||
\(346\) | −28.6551 | − | 8.10535i | −1.54051 | − | 0.435746i | ||||
\(347\) | −4.65714 | + | 23.4130i | −0.250008 | + | 1.25688i | 0.627994 | + | 0.778218i | \(0.283876\pi\) |
−0.878002 | + | 0.478657i | \(0.841124\pi\) | |||||||
\(348\) | −4.68460 | − | 2.88064i | −0.251121 | − | 0.154419i | ||||
\(349\) | 12.5737 | − | 18.8179i | 0.673057 | − | 1.00730i | −0.325044 | − | 0.945699i | \(-0.605379\pi\) |
0.998101 | − | 0.0616020i | \(-0.0196210\pi\) | |||||||
\(350\) | 3.83259 | + | 11.8264i | 0.204861 | + | 0.632149i | ||||
\(351\) | − | 2.81265i | − | 0.150128i | ||||||
\(352\) | 5.78086 | − | 28.4897i | 0.308121 | − | 1.51850i | ||||
\(353\) | − | 20.2428i | − | 1.07741i | −0.842493 | − | 0.538707i | \(-0.818913\pi\) | ||
0.842493 | − | 0.538707i | \(-0.181087\pi\) | |||||||
\(354\) | −16.4055 | + | 5.31652i | −0.871941 | + | 0.282570i | ||||
\(355\) | −8.87617 | + | 13.2841i | −0.471098 | + | 0.705048i | ||||
\(356\) | −3.68114 | − | 15.4376i | −0.195100 | − | 0.818190i | ||||
\(357\) | −1.49407 | + | 7.51118i | −0.0790744 | + | 0.397534i | ||||
\(358\) | −2.00098 | + | 7.07411i | −0.105755 | + | 0.373878i | ||||
\(359\) | −12.1555 | − | 5.03499i | −0.641545 | − | 0.265736i | 0.0381047 | − | 0.999274i | \(-0.487868\pi\) |
−0.679649 | + | 0.733537i | \(0.737868\pi\) | |||||||
\(360\) | 1.09191 | + | 2.98089i | 0.0575485 | + | 0.157107i | ||||
\(361\) | 9.87010 | − | 4.08833i | 0.519479 | − | 0.215175i | ||||
\(362\) | −34.1309 | + | 4.01306i | −1.79388 | + | 0.210922i | ||||
\(363\) | −12.8119 | + | 8.56063i | −0.672450 | + | 0.449317i | ||||
\(364\) | −12.0152 | + | 5.51668i | −0.629765 | + | 0.289153i | ||||
\(365\) | −2.12668 | − | 10.6915i | −0.111315 | − | 0.559620i | ||||
\(366\) | 4.97992 | + | 0.395780i | 0.260304 | + | 0.0206877i | ||||
\(367\) | 12.0748 | − | 12.0748i | 0.630298 | − | 0.630298i | −0.317845 | − | 0.948143i | \(-0.602959\pi\) |
0.948143 | + | 0.317845i | \(0.102959\pi\) | |||||||
\(368\) | 0.266004 | + | 3.51817i | 0.0138664 | + | 0.183397i | ||||
\(369\) | 3.40745 | + | 3.40745i | 0.177385 | + | 0.177385i | ||||
\(370\) | 8.26171 | + | 9.68829i | 0.429506 | + | 0.503670i | ||||
\(371\) | 30.3035 | − | 6.02774i | 1.57328 | − | 0.312945i | ||||
\(372\) | 6.47809 | − | 0.244551i | 0.335873 | − | 0.0126794i | ||||
\(373\) | −20.4698 | − | 30.6353i | −1.05989 | − | 1.58623i | −0.779558 | − | 0.626330i | \(-0.784556\pi\) |
−0.280330 | − | 0.959904i | \(-0.590444\pi\) | |||||||
\(374\) | −14.6751 | + | 18.5858i | −0.758829 | + | 0.961050i | ||||
\(375\) | −3.75410 | − | 9.06319i | −0.193861 | − | 0.468021i | ||||
\(376\) | −7.76829 | + | 10.6405i | −0.400619 | + | 0.548739i | ||||
\(377\) | −2.95965 | + | 7.14524i | −0.152430 | + | 0.367998i | ||||
\(378\) | 2.90127 | − | 1.62186i | 0.149225 | − | 0.0834195i | ||||
\(379\) | −11.8829 | − | 2.36365i | −0.610382 | − | 0.121413i | −0.119786 | − | 0.992800i | \(-0.538221\pi\) |
−0.490596 | + | 0.871387i | \(0.663221\pi\) | |||||||
\(380\) | −5.24311 | + | 3.79704i | −0.268966 | + | 0.194784i | ||||
\(381\) | 8.84427 | + | 5.90955i | 0.453106 | + | 0.302756i | ||||
\(382\) | 10.4671 | − | 20.5038i | 0.535541 | − | 1.04906i | ||||
\(383\) | −3.53211 | −0.180482 | −0.0902412 | − | 0.995920i | \(-0.528764\pi\) | ||||
−0.0902412 | + | 0.995920i | \(0.528764\pi\) | |||||||
\(384\) | −7.72434 | + | 8.26647i | −0.394181 | + | 0.421846i | ||||
\(385\) | −13.5562 | −0.690889 | ||||||||
\(386\) | 6.63957 | − | 13.0062i | 0.337945 | − | 0.661996i | ||||
\(387\) | 9.42323 | + | 6.29640i | 0.479010 | + | 0.320064i | ||||
\(388\) | 27.9574 | − | 20.2466i | 1.41932 | − | 1.02787i | ||||
\(389\) | 18.4685 | + | 3.67362i | 0.936392 | + | 0.186260i | 0.639623 | − | 0.768689i | \(-0.279091\pi\) |
0.296770 | + | 0.954949i | \(0.404091\pi\) | |||||||
\(390\) | 3.89692 | − | 2.17845i | 0.197328 | − | 0.110310i | ||||
\(391\) | 1.09988 | − | 2.65535i | 0.0556234 | − | 0.134287i | ||||
\(392\) | 3.37201 | + | 2.46181i | 0.170312 | + | 0.124340i | ||||
\(393\) | −3.84959 | − | 9.29373i | −0.194186 | − | 0.468807i | ||||
\(394\) | −15.0663 | + | 19.0813i | −0.759029 | + | 0.961303i | ||||
\(395\) | −4.40160 | − | 6.58747i | −0.221469 | − | 0.331451i | ||||
\(396\) | 10.2706 | − | 0.387719i | 0.516115 | − | 0.0194836i | ||||
\(397\) | −2.60521 | + | 0.518209i | −0.130752 | + | 0.0260081i | −0.260032 | − | 0.965600i | \(-0.583733\pi\) |
0.129281 | + | 0.991608i | \(0.458733\pi\) | |||||||
\(398\) | −16.8974 | − | 19.8151i | −0.846989 | − | 0.993242i | ||||
\(399\) | 4.79273 | + | 4.79273i | 0.239937 | + | 0.239937i | ||||
\(400\) | 9.75133 | − | 11.3465i | 0.487567 | − | 0.567326i | ||||
\(401\) | 0.662573 | − | 0.662573i | 0.0330873 | − | 0.0330873i | −0.690370 | − | 0.723457i | \(-0.742552\pi\) |
0.723457 | + | 0.690370i | \(0.242552\pi\) | |||||||
\(402\) | 13.5831 | + | 1.07952i | 0.677463 | + | 0.0538415i | ||||
\(403\) | −1.77859 | − | 8.94160i | −0.0885981 | − | 0.445413i | ||||
\(404\) | −4.66254 | + | 2.14078i | −0.231970 | + | 0.106508i | ||||
\(405\) | −0.933229 | + | 0.623564i | −0.0463725 | + | 0.0309851i | ||||
\(406\) | −9.07701 | + | 1.06726i | −0.450484 | + | 0.0529673i | ||||
\(407\) | 38.0846 | − | 15.7752i | 1.88778 | − | 0.781945i | ||||
\(408\) | 8.65398 | − | 3.16997i | 0.428436 | − | 0.156937i | ||||
\(409\) | −18.7149 | − | 7.75195i | −0.925391 | − | 0.383309i | −0.131463 | − | 0.991321i | \(-0.541967\pi\) |
−0.793928 | + | 0.608012i | \(0.791967\pi\) | |||||||
\(410\) | −2.08189 | + | 7.36016i | −0.102817 | + | 0.363493i | ||||
\(411\) | 0.666695 | − | 3.35170i | 0.0328856 | − | 0.165327i | ||||
\(412\) | 5.69711 | + | 23.8919i | 0.280677 | + | 1.17707i | ||||
\(413\) | −15.9229 | + | 23.8302i | −0.783513 | + | 1.17261i | ||||
\(414\) | −1.18665 | + | 0.384559i | −0.0583209 | + | 0.0189001i | ||||
\(415\) | − | 3.08307i | − | 0.151342i | ||||||
\(416\) | 13.1952 | + | 8.89031i | 0.646949 | + | 0.435883i | ||||
\(417\) | − | 17.7390i | − | 0.868680i | ||||||
\(418\) | 6.46126 | + | 19.9378i | 0.316031 | + | 0.975192i | ||||
\(419\) | 3.63817 | − | 5.44491i | 0.177736 | − | 0.266001i | −0.731895 | − | 0.681417i | \(-0.761364\pi\) |
0.909632 | + | 0.415416i | \(0.136364\pi\) | |||||||
\(420\) | 4.49418 | + | 2.76355i | 0.219294 | + | 0.134847i | ||||
\(421\) | −2.59589 | + | 13.0504i | −0.126516 | + | 0.636039i | 0.864537 | + | 0.502569i | \(0.167612\pi\) |
−0.991053 | + | 0.133470i | \(0.957388\pi\) | |||||||
\(422\) | 12.5420 | + | 3.54762i | 0.610535 | + | 0.172695i | ||||
\(423\) | −4.30330 | − | 1.78249i | −0.209234 | − | 0.0866675i | ||||
\(424\) | −25.1766 | − | 27.3622i | −1.22268 | − | 1.32883i | ||||
\(425\) | −11.2597 | + | 4.66393i | −0.546177 | + | 0.226234i | ||||
\(426\) | −2.35075 | − | 19.9930i | −0.113894 | − | 0.968665i | ||||
\(427\) | 6.90309 | − | 4.61250i | 0.334064 | − | 0.223214i | ||||
\(428\) | 24.5378 | + | 9.09534i | 1.18608 | + | 0.439640i | ||||
\(429\) | −2.81984 | − | 14.1763i | −0.136143 | − | 0.684438i | ||||
\(430\) | −1.42519 | + | 17.9326i | −0.0687290 | + | 0.864786i | ||||
\(431\) | −15.5516 | + | 15.5516i | −0.749094 | + | 0.749094i | −0.974309 | − | 0.225215i | \(-0.927692\pi\) |
0.225215 | + | 0.974309i | \(0.427692\pi\) | |||||||
\(432\) | −3.48396 | − | 1.96521i | −0.167622 | − | 0.0945510i | ||||
\(433\) | −27.0589 | − | 27.0589i | −1.30037 | − | 1.30037i | −0.928144 | − | 0.372222i | \(-0.878596\pi\) |
−0.372222 | − | 0.928144i | \(-0.621404\pi\) | |||||||
\(434\) | 8.19775 | − | 6.99065i | 0.393504 | − | 0.335562i | ||||
\(435\) | 3.02693 | − | 0.602093i | 0.145130 | − | 0.0288682i | ||||
\(436\) | 9.56678 | − | 10.3174i | 0.458166 | − | 0.494115i | ||||
\(437\) | −1.41322 | − | 2.11503i | −0.0676033 | − | 0.101175i | ||||
\(438\) | 10.7800 | + | 8.51175i | 0.515091 | + | 0.406707i | ||||
\(439\) | 7.57195 | + | 18.2803i | 0.361389 | + | 0.872471i | 0.995098 | + | 0.0988987i | \(0.0315320\pi\) |
−0.633708 | + | 0.773572i | \(0.718468\pi\) | |||||||
\(440\) | 8.49194 | + | 13.9296i | 0.404837 | + | 0.664067i | ||||
\(441\) | −0.564879 | + | 1.36374i | −0.0268990 | + | 0.0649399i | ||||
\(442\) | −6.32437 | − | 11.3134i | −0.300820 | − | 0.538122i | ||||
\(443\) | −10.6886 | − | 2.12609i | −0.507829 | − | 0.101014i | −0.0654755 | − | 0.997854i | \(-0.520856\pi\) |
−0.442354 | + | 0.896841i | \(0.645856\pi\) | |||||||
\(444\) | −15.8418 | − | 2.53406i | −0.751817 | − | 0.120261i | ||||
\(445\) | 7.40536 | + | 4.94810i | 0.351048 | + | 0.234563i | ||||
\(446\) | −27.5810 | − | 14.0800i | −1.30600 | − | 0.666705i | ||||
\(447\) | 14.4131 | 0.681717 | ||||||||
\(448\) | −1.56165 | + | 18.7374i | −0.0737811 | + | 0.885260i | ||||
\(449\) | −15.2267 | −0.718593 | −0.359296 | − | 0.933224i | \(-0.616983\pi\) | ||||
−0.359296 | + | 0.933224i | \(0.616983\pi\) | |||||||
\(450\) | 4.71115 | + | 2.40501i | 0.222086 | + | 0.113373i | ||||
\(451\) | 20.5904 | + | 13.7581i | 0.969564 | + | 0.647842i | ||||
\(452\) | 2.41428 | − | 15.0929i | 0.113558 | − | 0.709912i | ||||
\(453\) | 4.38231 | + | 0.871696i | 0.205899 | + | 0.0409559i | ||||
\(454\) | −12.1190 | − | 21.6792i | −0.568775 | − | 1.01745i | ||||
\(455\) | 2.83935 | − | 6.85480i | 0.133111 | − | 0.321358i | ||||
\(456\) | 1.92245 | − | 7.92702i | 0.0900271 | − | 0.371217i | ||||
\(457\) | −14.0232 | − | 33.8549i | −0.655976 | − | 1.58367i | −0.803964 | − | 0.594678i | \(-0.797280\pi\) |
0.147988 | − | 0.988989i | \(-0.452720\pi\) | |||||||
\(458\) | −7.17164 | − | 5.66261i | −0.335109 | − | 0.264596i | ||||
\(459\) | 1.81030 | + | 2.70930i | 0.0844975 | + | 0.126460i | ||||
\(460\) | −1.45189 | − | 1.34626i | −0.0676949 | − | 0.0627698i | ||||
\(461\) | 25.9716 | − | 5.16606i | 1.20962 | − | 0.240608i | 0.451227 | − | 0.892409i | \(-0.350987\pi\) |
0.758389 | + | 0.651802i | \(0.225987\pi\) | |||||||
\(462\) | 12.9970 | − | 11.0832i | 0.604674 | − | 0.515637i | ||||
\(463\) | −6.92681 | − | 6.92681i | −0.321916 | − | 0.321916i | 0.527586 | − | 0.849502i | \(-0.323097\pi\) |
−0.849502 | + | 0.527586i | \(0.823097\pi\) | |||||||
\(464\) | 6.78272 | + | 8.65846i | 0.314880 | + | 0.401959i | ||||
\(465\) | −2.57248 | + | 2.57248i | −0.119296 | + | 0.119296i | ||||
\(466\) | 1.10259 | − | 13.8734i | 0.0510767 | − | 0.642675i | ||||
\(467\) | 1.28868 | + | 6.47864i | 0.0596331 | + | 0.299796i | 0.999079 | − | 0.0429004i | \(-0.0136598\pi\) |
−0.939446 | + | 0.342696i | \(0.888660\pi\) | |||||||
\(468\) | −1.95512 | + | 5.27460i | −0.0903755 | + | 0.243818i | ||||
\(469\) | 18.8287 | − | 12.5809i | 0.869429 | − | 0.580934i | ||||
\(470\) | −0.863356 | − | 7.34281i | −0.0398236 | − | 0.338698i | ||||
\(471\) | 14.1984 | − | 5.88119i | 0.654230 | − | 0.270991i | ||||
\(472\) | 34.4611 | + | 1.43358i | 1.58620 | + | 0.0659857i | ||||
\(473\) | 53.8074 | + | 22.2878i | 2.47407 | + | 1.02479i | ||||
\(474\) | 9.60575 | + | 2.71708i | 0.441207 | + | 0.124799i | ||||
\(475\) | −2.10432 | + | 10.5791i | −0.0965528 | + | 0.485404i | ||||
\(476\) | 8.02301 | − | 13.0473i | 0.367734 | − | 0.598022i | ||||
\(477\) | 7.30356 | − | 10.9305i | 0.334407 | − | 0.500475i | ||||
\(478\) | 11.4669 | + | 35.3841i | 0.524485 | + | 1.61843i | ||||
\(479\) | 8.56249i | 0.391230i | 0.980681 | + | 0.195615i | \(0.0626703\pi\) | ||||
−0.980681 | + | 0.195615i | \(0.937330\pi\) | |||||||
\(480\) | 0.0244019 | − | 6.34912i | 0.00111379 | − | 0.289796i | ||||
\(481\) | 22.5619i | 1.02873i | ||||||||
\(482\) | −9.07559 | + | 2.94113i | −0.413382 | + | 0.133965i | ||||
\(483\) | −1.15175 | + | 1.72371i | −0.0524062 | + | 0.0784315i | ||||
\(484\) | 29.9770 | − | 7.14812i | 1.36259 | − | 0.324914i | ||||
\(485\) | −3.77921 | + | 18.9994i | −0.171605 | + | 0.862718i | ||||
\(486\) | 0.384921 | − | 1.36082i | 0.0174604 | − | 0.0617281i | ||||
\(487\) | 8.34116 | + | 3.45502i | 0.377974 | + | 0.156562i | 0.563578 | − | 0.826063i | \(-0.309424\pi\) |
−0.185604 | + | 0.982625i | \(0.559424\pi\) | |||||||
\(488\) | −9.06380 | − | 4.20384i | −0.410299 | − | 0.190299i | ||||
\(489\) | 1.03323 | − | 0.427979i | 0.0467244 | − | 0.0193539i | ||||
\(490\) | −2.32697 | + | 0.273601i | −0.105122 | + | 0.0123601i | ||||
\(491\) | −11.2721 | + | 7.53178i | −0.508703 | + | 0.339904i | −0.783289 | − | 0.621658i | \(-0.786459\pi\) |
0.274586 | + | 0.961563i | \(0.411459\pi\) | |||||||
\(492\) | −4.02147 | − | 8.75863i | −0.181302 | − | 0.394869i | ||||
\(493\) | −1.74797 | − | 8.78763i | −0.0787245 | − | 0.395775i | ||||
\(494\) | −11.4350 | − | 0.908802i | −0.514487 | − | 0.0408889i | ||||
\(495\) | −4.07850 | + | 4.07850i | −0.183315 | + | 0.183315i | ||||
\(496\) | −12.3185 | − | 4.04442i | −0.553115 | − | 0.181600i | ||||
\(497\) | −23.6566 | − | 23.6566i | −1.06115 | − | 1.06115i | ||||
\(498\) | 2.52063 | + | 2.95588i | 0.112952 | + | 0.132456i | ||||
\(499\) | −7.22643 | + | 1.43743i | −0.323499 | + | 0.0643480i | −0.354169 | − | 0.935182i | \(-0.615236\pi\) |
0.0306693 | + | 0.999530i | \(0.490236\pi\) | |||||||
\(500\) | 0.740132 | + | 19.6059i | 0.0330997 | + | 0.876802i | ||||
\(501\) | 3.52528 | + | 5.27595i | 0.157498 | + | 0.235712i | ||||
\(502\) | −8.05314 | + | 10.1992i | −0.359429 | + | 0.455213i | ||||
\(503\) | 0.247896 | + | 0.598473i | 0.0110531 | + | 0.0266846i | 0.929310 | − | 0.369301i | \(-0.120403\pi\) |
−0.918257 | + | 0.395986i | \(0.870403\pi\) | |||||||
\(504\) | −6.56818 | + | 1.02478i | −0.292570 | + | 0.0456472i | ||||
\(505\) | 1.10182 | − | 2.66004i | 0.0490306 | − | 0.118370i | ||||
\(506\) | −5.59543 | + | 3.12794i | −0.248747 | + | 0.139054i | ||||
\(507\) | −4.99124 | − | 0.992819i | −0.221669 | − | 0.0440926i | ||||
\(508\) | −12.4780 | − | 17.2301i | −0.553620 | − | 0.764462i | ||||
\(509\) | −14.6415 | − | 9.78316i | −0.648975 | − | 0.433631i | 0.187029 | − | 0.982354i | \(-0.440114\pi\) |
−0.836004 | + | 0.548723i | \(0.815114\pi\) | |||||||
\(510\) | −2.35163 | + | 4.60658i | −0.104132 | + | 0.203983i | ||||
\(511\) | 22.8269 | 1.00980 | ||||||||
\(512\) | 20.2318 | − | 10.1329i | 0.894126 | − | 0.447816i | ||||
\(513\) | 2.88387 | 0.127326 | ||||||||
\(514\) | 8.97081 | − | 17.5728i | 0.395686 | − | 0.775103i | ||||
\(515\) | −11.4609 | − | 7.65792i | −0.505027 | − | 0.337448i | ||||
\(516\) | −13.2948 | − | 18.3580i | −0.585270 | − | 0.808166i | ||||
\(517\) | −23.4766 | − | 4.66978i | −1.03250 | − | 0.205377i | ||||
\(518\) | −23.2728 | + | 13.0099i | −1.02255 | + | 0.571622i | ||||
\(519\) | −8.05824 | + | 19.4543i | −0.353717 | + | 0.853949i | ||||
\(520\) | −8.82225 | + | 1.37646i | −0.386881 | + | 0.0603617i | ||||
\(521\) | 14.7297 | + | 35.5605i | 0.645318 | + | 1.55794i | 0.819411 | + | 0.573206i | \(0.194301\pi\) |
−0.174093 | + | 0.984729i | \(0.555699\pi\) | |||||||
\(522\) | −2.40980 | + | 3.05199i | −0.105474 | + | 0.133582i | ||||
\(523\) | −13.0998 | − | 19.6052i | −0.572812 | − | 0.857274i | 0.426063 | − | 0.904694i | \(-0.359900\pi\) |
−0.998875 | + | 0.0474196i | \(0.984900\pi\) | |||||||
\(524\) | 0.758959 | + | 20.1046i | 0.0331553 | + | 0.878274i | ||||
\(525\) | 8.62180 | − | 1.71498i | 0.376286 | − | 0.0748480i | ||||
\(526\) | 20.0936 | + | 23.5632i | 0.876121 | + | 1.02740i | ||||
\(527\) | 7.46831 | + | 7.46831i | 0.325325 | + | 0.325325i | ||||
\(528\) | −19.5301 | − | 6.41216i | −0.849937 | − | 0.279053i | ||||
\(529\) | −15.7133 | + | 15.7133i | −0.683188 | + | 0.683188i | ||||
\(530\) | 20.8010 | + | 1.65317i | 0.903539 | + | 0.0718090i | ||||
\(531\) | 2.37900 | + | 11.9601i | 0.103240 | + | 0.519022i | ||||
\(532\) | −5.65637 | − | 12.3194i | −0.245235 | − | 0.534114i | ||||
\(533\) | −11.2695 | + | 7.53006i | −0.488138 | + | 0.326163i | ||||
\(534\) | −11.1453 | + | 1.31045i | −0.482304 | + | 0.0567086i | ||||
\(535\) | −13.5681 | + | 5.62007i | −0.586598 | + | 0.242977i | ||||
\(536\) | −24.7222 | − | 11.4663i | −1.06784 | − | 0.495269i | ||||
\(537\) | 4.80270 | + | 1.98934i | 0.207252 | + | 0.0858465i | ||||
\(538\) | 5.92545 | − | 20.9484i | 0.255464 | − | 0.903151i | ||||
\(539\) | −1.47987 | + | 7.43983i | −0.0637427 | + | 0.320456i | ||||
\(540\) | 2.18355 | − | 0.520675i | 0.0939650 | − | 0.0224063i | ||||
\(541\) | 16.5249 | − | 24.7313i | 0.710463 | − | 1.06328i | −0.284065 | − | 0.958805i | \(-0.591683\pi\) |
0.994527 | − | 0.104477i | \(-0.0333169\pi\) | |||||||
\(542\) | 7.82859 | − | 2.53701i | 0.336267 | − | 0.108974i | ||||
\(543\) | 24.3005i | 1.04283i | ||||||||
\(544\) | −18.4325 | − | 0.0708424i | −0.790285 | − | 0.00303734i | ||||
\(545\) | 7.89613i | 0.338233i | ||||||||
\(546\) | 2.88208 | + | 8.89340i | 0.123342 | + | 0.380602i | ||||
\(547\) | −0.124948 | + | 0.186997i | −0.00534237 | + | 0.00799542i | −0.834131 | − | 0.551566i | \(-0.814030\pi\) |
0.828789 | + | 0.559562i | \(0.189030\pi\) | |||||||
\(548\) | −3.58009 | + | 5.82207i | −0.152934 | + | 0.248706i | ||||
\(549\) | 0.689144 | − | 3.46456i | 0.0294120 | − | 0.147864i | ||||
\(550\) | 26.1563 | + | 7.39854i | 1.11531 | + | 0.315475i | ||||
\(551\) | −7.32616 | − | 3.03460i | −0.312105 | − | 0.129278i | ||||
\(552\) | 2.49267 | + | 0.103695i | 0.106095 | + | 0.00441354i | ||||
\(553\) | 15.3274 | − | 6.34882i | 0.651787 | − | 0.269979i | ||||
\(554\) | −1.75127 | − | 14.8945i | −0.0744045 | − | 0.632807i | ||||
\(555\) | 7.48597 | − | 5.00197i | 0.317762 | − | 0.212322i | ||||
\(556\) | −12.3307 | + | 33.2661i | −0.522937 | + | 1.41080i | ||||
\(557\) | 5.08629 | + | 25.5705i | 0.215513 | + | 1.08346i | 0.925357 | + | 0.379097i | \(0.123765\pi\) |
−0.709844 | + | 0.704359i | \(0.751235\pi\) | |||||||
\(558\) | 0.363166 | − | 4.56955i | 0.0153740 | − | 0.193445i | ||||
\(559\) | −22.5400 | + | 22.5400i | −0.953339 | + | 0.953339i | ||||
\(560\) | −6.50702 | − | 8.30652i | −0.274972 | − | 0.351014i | ||||
\(561\) | 11.8405 | + | 11.8405i | 0.499906 | + | 0.499906i | ||||
\(562\) | −6.29787 | + | 5.37052i | −0.265659 | + | 0.226542i | ||||
\(563\) | −5.97284 | + | 1.18807i | −0.251725 | + | 0.0500712i | −0.319340 | − | 0.947640i | \(-0.603461\pi\) |
0.0676147 | + | 0.997712i | \(0.478461\pi\) | |||||||
\(564\) | 6.83102 | + | 6.33403i | 0.287638 | + | 0.266711i | ||||
\(565\) | 4.76553 | + | 7.13212i | 0.200487 | + | 0.300050i | ||||
\(566\) | −21.8697 | − | 17.2680i | −0.919252 | − | 0.725826i | ||||
\(567\) | −0.899420 | − | 2.17139i | −0.0377721 | − | 0.0911899i | ||||
\(568\) | −9.48911 | + | 39.1273i | −0.398154 | + | 1.64174i | ||||
\(569\) | −4.41747 | + | 10.6647i | −0.185190 | + | 0.447089i | −0.989022 | − | 0.147768i | \(-0.952791\pi\) |
0.803832 | + | 0.594856i | \(0.202791\pi\) | |||||||
\(570\) | 2.23361 | + | 3.99560i | 0.0935556 | + | 0.167357i | ||||
\(571\) | 16.7687 | + | 3.33550i | 0.701748 | + | 0.139586i | 0.533053 | − | 0.846082i | \(-0.321045\pi\) |
0.168695 | + | 0.985668i | \(0.446045\pi\) | |||||||
\(572\) | −4.56610 | + | 28.5452i | −0.190918 | + | 1.19353i | ||||
\(573\) | −13.5349 | − | 9.04372i | −0.565428 | − | 0.377807i | ||||
\(574\) | −14.2657 | − | 7.28256i | −0.595439 | − | 0.303968i | ||||
\(575\) | −3.29910 | −0.137582 | ||||||||
\(576\) | 5.16747 | + | 6.10714i | 0.215311 | + | 0.254464i | ||||
\(577\) | 40.3595 | 1.68019 | 0.840095 | − | 0.542439i | \(-0.182499\pi\) | ||||
0.840095 | + | 0.542439i | \(0.182499\pi\) | |||||||
\(578\) | −8.03925 | − | 4.10399i | −0.334389 | − | 0.170703i | ||||
\(579\) | −8.58559 | − | 5.73671i | −0.356805 | − | 0.238409i | ||||
\(580\) | −6.09497 | − | 0.974956i | −0.253080 | − | 0.0404828i | ||||
\(581\) | 6.33196 | + | 1.25950i | 0.262694 | + | 0.0522530i | ||||
\(582\) | −11.9101 | − | 21.3054i | −0.493689 | − | 0.883136i | ||||
\(583\) | 25.8529 | − | 62.4144i | 1.07072 | − | 2.58494i | ||||
\(584\) | −14.2993 | − | 23.4556i | −0.591710 | − | 0.970600i | ||||
\(585\) | −1.20808 | − | 2.91657i | −0.0499480 | − | 0.120585i | ||||
\(586\) | 25.3237 | + | 19.9952i | 1.04611 | + | 0.825994i | ||||
\(587\) | 11.0998 | + | 16.6120i | 0.458136 | + | 0.685649i | 0.986573 | − | 0.163324i | \(-0.0522215\pi\) |
−0.528436 | + | 0.848973i | \(0.677221\pi\) | |||||||
\(588\) | 2.00728 | − | 2.16478i | 0.0827790 | − | 0.0892741i | ||||
\(589\) | 9.16801 | − | 1.82363i | 0.377761 | − | 0.0751414i | ||||
\(590\) | −14.7281 | + | 12.5594i | −0.606346 | + | 0.517063i | ||||
\(591\) | 12.1562 | + | 12.1562i | 0.500038 | + | 0.500038i | ||||
\(592\) | 27.9469 | + | 15.7641i | 1.14861 | + | 0.647899i | ||||
\(593\) | −28.5859 | + | 28.5859i | −1.17388 | + | 1.17388i | −0.192604 | + | 0.981276i | \(0.561693\pi\) |
−0.981276 | + | 0.192604i | \(0.938307\pi\) | |||||||
\(594\) | 0.575775 | − | 7.24472i | 0.0236243 | − | 0.297254i | ||||
\(595\) | 1.67692 | + | 8.43044i | 0.0687469 | + | 0.345614i | ||||
\(596\) | −27.0291 | − | 10.0188i | −1.10716 | − | 0.410387i | ||||
\(597\) | −15.3108 | + | 10.2303i | −0.626629 | + | 0.418700i | ||||
\(598\) | −0.409705 | − | 3.48452i | −0.0167541 | − | 0.142493i | ||||
\(599\) | 27.9944 | − | 11.5957i | 1.14382 | − | 0.473787i | 0.271365 | − | 0.962477i | \(-0.412525\pi\) |
0.872457 | + | 0.488690i | \(0.162525\pi\) | |||||||
\(600\) | −7.16312 | − | 7.78496i | −0.292433 | − | 0.317820i | ||||
\(601\) | 7.39208 | + | 3.06190i | 0.301529 | + | 0.124897i | 0.528318 | − | 0.849046i | \(-0.322823\pi\) |
−0.226789 | + | 0.973944i | \(0.572823\pi\) | |||||||
\(602\) | −36.2474 | − | 10.2529i | −1.47734 | − | 0.417878i | ||||
\(603\) | 1.87969 | − | 9.44985i | 0.0765470 | − | 0.384828i | ||||
\(604\) | −7.61229 | − | 4.68093i | −0.309740 | − | 0.190464i | ||||
\(605\) | −9.60832 | + | 14.3799i | −0.390634 | + | 0.584625i | ||||
\(606\) | 1.11841 | + | 3.45113i | 0.0454322 | + | 0.140192i | ||||
\(607\) | 39.2584i | 1.59345i | 0.604341 | + | 0.796726i | \(0.293436\pi\) | ||||
−0.604341 | + | 0.796726i | \(0.706564\pi\) | |||||||
\(608\) | −9.11542 | + | 13.5293i | −0.369679 | + | 0.548687i | ||||
\(609\) | 6.46263i | 0.261879i | ||||||||
\(610\) | 5.33391 | − | 1.72856i | 0.215964 | − | 0.0699874i | ||||
\(611\) | 7.27848 | − | 10.8930i | 0.294456 | − | 0.440684i | ||||
\(612\) | −1.51160 | − | 6.33917i | −0.0611027 | − | 0.256246i | ||||
\(613\) | 1.15228 | − | 5.79291i | 0.0465402 | − | 0.233974i | −0.950513 | − | 0.310684i | \(-0.899442\pi\) |
0.997053 | + | 0.0767108i | \(0.0244418\pi\) | |||||||
\(614\) | 8.66613 | − | 30.6376i | 0.349737 | − | 1.23643i | ||||
\(615\) | 4.99691 | + | 2.06979i | 0.201495 | + | 0.0834619i | ||||
\(616\) | −32.0776 | + | 11.7501i | −1.29244 | + | 0.473424i | ||||
\(617\) | 10.3440 | − | 4.28464i | 0.416435 | − | 0.172493i | −0.164621 | − | 0.986357i | \(-0.552640\pi\) |
0.581055 | + | 0.813864i | \(0.302640\pi\) | |||||||
\(618\) | 17.2490 | − | 2.02811i | 0.693856 | − | 0.0815825i | ||||
\(619\) | 7.87296 | − | 5.26054i | 0.316441 | − | 0.211439i | −0.387198 | − | 0.921996i | \(-0.626557\pi\) |
0.703639 | + | 0.710557i | \(0.251557\pi\) | |||||||
\(620\) | 6.61240 | − | 3.03604i | 0.265560 | − | 0.121930i | ||||
\(621\) | 0.172080 | + | 0.865104i | 0.00690533 | + | 0.0347154i | ||||
\(622\) | 7.69213 | + | 0.611333i | 0.308426 | + | 0.0245122i | ||||
\(623\) | −13.1876 | + | 13.1876i | −0.528350 | + | 0.528350i | ||||
\(624\) | 7.33294 | − | 8.53250i | 0.293552 | − | 0.341574i | ||||
\(625\) | 5.43818 | + | 5.43818i | 0.217527 | + | 0.217527i | ||||
\(626\) | −8.47530 | − | 9.93876i | −0.338741 | − | 0.397233i | ||||
\(627\) | 14.5353 | − | 2.89124i | 0.580482 | − | 0.115465i | ||||
\(628\) | −30.7147 | + | 1.15949i | −1.22565 | + | 0.0462689i | ||||
\(629\) | −14.5215 | − | 21.7329i | −0.579009 | − | 0.866548i | ||||
\(630\) | 2.31185 | − | 2.92793i | 0.0921062 | − | 0.116652i | ||||
\(631\) | −11.1515 | − | 26.9221i | −0.443934 | − | 1.07175i | −0.974556 | − | 0.224143i | \(-0.928042\pi\) |
0.530623 | − | 0.847608i | \(-0.321958\pi\) | |||||||
\(632\) | −16.1251 | − | 11.7725i | −0.641424 | − | 0.468285i | ||||
\(633\) | 3.52700 | − | 8.51492i | 0.140186 | − | 0.338438i | ||||
\(634\) | 0.493867 | − | 0.276080i | 0.0196140 | − | 0.0109645i | ||||
\(635\) | 11.7093 | + | 2.32913i | 0.464670 | + | 0.0924286i | ||||
\(636\) | −21.2945 | + | 15.4214i | −0.844382 | + | 0.611498i | ||||
\(637\) | −3.45205 | − | 2.30658i | −0.136775 | − | 0.0913902i | ||||
\(638\) | −9.08608 | + | 17.7986i | −0.359721 | + | 0.704653i | ||||
\(639\) | −14.2346 | −0.563112 | ||||||||
\(640\) | −4.45915 | + | 11.8896i | −0.176263 | + | 0.469979i | ||||
\(641\) | −14.4610 | −0.571177 | −0.285589 | − | 0.958352i | \(-0.592189\pi\) | ||||
−0.285589 | + | 0.958352i | \(0.592189\pi\) | |||||||
\(642\) | 8.41350 | − | 16.4811i | 0.332055 | − | 0.650457i | ||||
\(643\) | 17.9009 | + | 11.9610i | 0.705944 | + | 0.471697i | 0.855997 | − | 0.516981i | \(-0.172944\pi\) |
−0.150052 | + | 0.988678i | \(0.547944\pi\) | |||||||
\(644\) | 3.35807 | − | 2.43190i | 0.132326 | − | 0.0958303i | ||||
\(645\) | 12.4758 | + | 2.48159i | 0.491235 | + | 0.0977127i | ||||
\(646\) | 11.5998 | − | 6.48451i | 0.456389 | − | 0.255130i | ||||
\(647\) | −6.08613 | + | 14.6932i | −0.239270 | + | 0.577650i | −0.997208 | − | 0.0746777i | \(-0.976207\pi\) |
0.757937 | + | 0.652327i | \(0.226207\pi\) | |||||||
\(648\) | −1.66778 | + | 2.28441i | −0.0655166 | + | 0.0897399i | ||||
\(649\) | 23.9813 | + | 57.8960i | 0.941348 | + | 2.27261i | ||||
\(650\) | −9.21957 | + | 11.6765i | −0.361621 | + | 0.457990i | ||||
\(651\) | −4.23241 | − | 6.33425i | −0.165881 | − | 0.248259i | ||||
\(652\) | −2.23514 | + | 0.0843775i | −0.0875347 | + | 0.00330448i | ||||
\(653\) | 4.67112 | − | 0.929144i | 0.182795 | − | 0.0363602i | −0.102844 | − | 0.994698i | \(-0.532794\pi\) |
0.285639 | + | 0.958337i | \(0.407794\pi\) | |||||||
\(654\) | −6.45566 | − | 7.57038i | −0.252436 | − | 0.296025i | ||||
\(655\) | −7.98365 | − | 7.98365i | −0.311947 | − | 0.311947i | ||||
\(656\) | 1.45324 | + | 19.2206i | 0.0567397 | + | 0.750438i | ||||
\(657\) | 6.86766 | − | 6.86766i | 0.267933 | − | 0.267933i | ||||
\(658\) | 15.4333 | + | 1.22656i | 0.601651 | + | 0.0478163i | ||||
\(659\) | −5.07329 | − | 25.5051i | −0.197627 | − | 0.993539i | −0.944485 | − | 0.328555i | \(-0.893438\pi\) |
0.746858 | − | 0.664984i | \(-0.231562\pi\) | |||||||
\(660\) | 10.4835 | − | 4.81344i | 0.408070 | − | 0.187363i | ||||
\(661\) | −18.4874 | + | 12.3529i | −0.719077 | + | 0.480472i | −0.860483 | − | 0.509480i | \(-0.829838\pi\) |
0.141406 | + | 0.989952i | \(0.454838\pi\) | |||||||
\(662\) | 29.7824 | − | 3.50177i | 1.15753 | − | 0.136100i | ||||
\(663\) | −8.46724 | + | 3.50725i | −0.328840 | + | 0.136210i | ||||
\(664\) | −2.67230 | − | 7.29534i | −0.103705 | − | 0.283114i | ||||
\(665\) | 7.02838 | + | 2.91125i | 0.272549 | + | 0.112893i | ||||
\(666\) | −3.08768 | + | 10.9159i | −0.119645 | + | 0.422984i | ||||
\(667\) | 0.473169 | − | 2.37878i | 0.0183212 | − | 0.0921068i | ||||
\(668\) | −2.94360 | − | 12.3446i | −0.113891 | − | 0.477626i | ||||
\(669\) | −12.1653 | + | 18.2067i | −0.470339 | + | 0.703912i | ||||
\(670\) | 14.5486 | − | 4.71478i | 0.562063 | − | 0.182148i | ||||
\(671\) | − | 18.1530i | − | 0.700788i | ||||||
\(672\) | 13.0298 | + | 2.64388i | 0.502634 | + | 0.101990i | ||||
\(673\) | − | 16.1507i | − | 0.622564i | −0.950318 | − | 0.311282i | \(-0.899242\pi\) | ||
0.950318 | − | 0.311282i | \(-0.100758\pi\) | |||||||
\(674\) | 10.0992 | + | 31.1637i | 0.389007 | + | 1.20038i | ||||
\(675\) | 2.07797 | − | 3.10991i | 0.0799812 | − | 0.119700i | ||||
\(676\) | 8.67003 | + | 5.33135i | 0.333463 | + | 0.205052i | ||||
\(677\) | −4.62855 | + | 23.2693i | −0.177890 | + | 0.894311i | 0.783976 | + | 0.620791i | \(0.213188\pi\) |
−0.961866 | + | 0.273521i | \(0.911812\pi\) | |||||||
\(678\) | −10.4000 | − | 2.94172i | −0.399408 | − | 0.112976i | ||||
\(679\) | −37.4768 | − | 15.5234i | −1.43823 | − | 0.595733i | ||||
\(680\) | 7.61217 | − | 7.00414i | 0.291914 | − | 0.268596i | ||||
\(681\) | −16.2253 | + | 6.72074i | −0.621755 | + | 0.257539i | ||||
\(682\) | −2.75081 | − | 23.3956i | −0.105334 | − | 0.895862i | ||||
\(683\) | 10.3658 | − | 6.92618i | 0.396635 | − | 0.265023i | −0.341219 | − | 0.939984i | \(-0.610840\pi\) |
0.737853 | + | 0.674961i | \(0.235840\pi\) | |||||||
\(684\) | −5.40816 | − | 2.00463i | −0.206786 | − | 0.0766488i | ||||
\(685\) | −0.748288 | − | 3.76190i | −0.0285906 | − | 0.143735i | ||||
\(686\) | 2.23202 | − | 28.0845i | 0.0852189 | − | 1.07227i | ||||
\(687\) | −4.56885 | + | 4.56885i | −0.174312 | + | 0.174312i | ||||
\(688\) | 12.1710 | + | 43.6685i | 0.464014 | + | 1.66485i | ||||
\(689\) | 26.1454 | + | 26.1454i | 0.996061 | + | 0.996061i | ||||
\(690\) | −1.06532 | + | 0.908457i | −0.0405562 | + | 0.0345844i | ||||
\(691\) | 16.6634 | − | 3.31456i | 0.633907 | − | 0.126092i | 0.132331 | − | 0.991206i | \(-0.457754\pi\) |
0.501576 | + | 0.865114i | \(0.332754\pi\) | |||||||
\(692\) | 28.6348 | − | 30.8815i | 1.08853 | − | 1.17394i | ||||
\(693\) | −6.71020 | − | 10.0425i | −0.254900 | − | 0.381484i | ||||
\(694\) | −26.4960 | − | 20.9208i | −1.00577 | − | 0.794142i | ||||
\(695\) | −7.61920 | − | 18.3944i | −0.289013 | − | 0.697738i | ||||
\(696\) | 6.64063 | − | 4.04835i | 0.251712 | − | 0.153452i | ||||
\(697\) | 6.00891 | − | 14.5068i | 0.227604 | − | 0.549484i | ||||
\(698\) | 15.6177 | + | 27.9377i | 0.591138 | + | 1.05746i | ||||
\(699\) | −9.65185 | − | 1.91987i | −0.365066 | − | 0.0726162i | ||||
\(700\) | −17.3607 | − | 2.77703i | −0.656173 | − | 0.104962i | ||||
\(701\) | 36.3684 | + | 24.3006i | 1.37361 | + | 0.917820i | 0.999953 | − | 0.00974462i | \(-0.00310186\pi\) |
0.373662 | + | 0.927565i | \(0.378102\pi\) | |||||||
\(702\) | 3.54275 | + | 1.80855i | 0.133713 | + | 0.0682595i | ||||
\(703\) | −23.1332 | −0.872484 | ||||||||
\(704\) | 32.1679 | + | 25.6005i | 1.21237 | + | 0.964856i | ||||
\(705\) | −5.22791 | −0.196895 | ||||||||
\(706\) | 25.4974 | + | 13.0163i | 0.959606 | + | 0.489873i | ||||
\(707\) | 5.01303 | + | 3.34960i | 0.188534 | + | 0.125975i | ||||
\(708\) | 3.85226 | − | 24.0826i | 0.144777 | − | 0.905078i | ||||
\(709\) | −40.5607 | − | 8.06803i | −1.52329 | − | 0.303001i | −0.638731 | − | 0.769430i | \(-0.720540\pi\) |
−0.884559 | + | 0.466429i | \(0.845540\pi\) | |||||||
\(710\) | −11.0250 | − | 19.7220i | −0.413760 | − | 0.740155i | ||||
\(711\) | 2.70128 | − | 6.52147i | 0.101306 | − | 0.244574i | ||||
\(712\) | 21.8119 | + | 5.28979i | 0.817434 | + | 0.198243i | ||||
\(713\) | 1.09411 | + | 2.64141i | 0.0409747 | + | 0.0989216i | ||||
\(714\) | −8.50024 | − | 6.71165i | −0.318113 | − | 0.251177i | ||||
\(715\) | −9.01300 | − | 13.4889i | −0.337067 | − | 0.504457i | ||||
\(716\) | −7.62376 | − | 7.06909i | −0.284913 | − | 0.264184i | ||||
\(717\) | 25.7960 | − | 5.13114i | 0.963369 | − | 0.191626i | ||||
\(718\) | 14.1581 | − | 12.0733i | 0.528375 | − | 0.450573i | ||||
\(719\) | −5.93274 | − | 5.93274i | −0.221254 | − | 0.221254i | 0.587772 | − | 0.809026i | \(-0.300005\pi\) |
−0.809026 | + | 0.587772i | \(0.800005\pi\) | |||||||
\(720\) | −4.45678 | − | 0.541394i | −0.166094 | − | 0.0201766i | ||||
\(721\) | 20.4098 | − | 20.4098i | 0.760099 | − | 0.760099i | ||||
\(722\) | −1.19698 | + | 15.0610i | −0.0445469 | + | 0.560513i | ||||
\(723\) | 1.31608 | + | 6.61636i | 0.0489454 | + | 0.246065i | ||||
\(724\) | 16.8917 | − | 45.5711i | 0.627775 | − | 1.69364i | ||||
\(725\) | −8.55133 | + | 5.71382i | −0.317588 | + | 0.212206i | ||||
\(726\) | −2.54465 | − | 21.6421i | −0.0944408 | − | 0.803215i | ||||
\(727\) | −14.1268 | + | 5.85151i | −0.523934 | + | 0.217021i | −0.628944 | − | 0.777451i | \(-0.716513\pi\) |
0.105010 | + | 0.994471i | \(0.466513\pi\) | |||||||
\(728\) | 0.777141 | − | 18.6813i | 0.0288027 | − | 0.692376i | ||||
\(729\) | −0.923880 | − | 0.382683i | −0.0342178 | − | 0.0141735i | ||||
\(730\) | 14.8343 | + | 4.19602i | 0.549042 | + | 0.155302i | ||||
\(731\) | 7.20444 | − | 36.2192i | 0.266466 | − | 1.33961i | ||||
\(732\) | −3.70064 | + | 6.01811i | −0.136780 | + | 0.222436i | ||||
\(733\) | 29.1094 | − | 43.5654i | 1.07518 | − | 1.60912i | 0.327776 | − | 0.944755i | \(-0.393701\pi\) |
0.747406 | − | 0.664368i | \(-0.231299\pi\) | |||||||
\(734\) | 7.44496 | + | 22.9733i | 0.274799 | + | 0.847960i | ||||
\(735\) | 1.65675i | 0.0611102i | ||||||||
\(736\) | −4.60246 | − | 1.92716i | −0.169649 | − | 0.0710359i | ||||
\(737\) | − | 49.5136i | − | 1.82386i | ||||||
\(738\) | −6.48297 | + | 2.10094i | −0.238642 | + | 0.0773366i | ||||
\(739\) | 15.8956 | − | 23.7895i | 0.584730 | − | 0.875111i | −0.414662 | − | 0.909976i | \(-0.636100\pi\) |
0.999392 | + | 0.0348648i | \(0.0111001\pi\) | |||||||
\(740\) | −17.5155 | + | 4.17664i | −0.643883 | + | 0.153536i | ||||
\(741\) | −1.58243 | + | 7.95543i | −0.0581322 | + | 0.292250i | ||||
\(742\) | −11.8930 | + | 42.0455i | −0.436604 | + | 1.54354i | ||||
\(743\) | 16.2982 | + | 6.75095i | 0.597924 | + | 0.247668i | 0.661056 | − | 0.750337i | \(-0.270109\pi\) |
−0.0631313 | + | 0.998005i | \(0.520109\pi\) | |||||||
\(744\) | −3.85743 | + | 8.31692i | −0.141420 | + | 0.304913i | ||||
\(745\) | 14.9457 | − | 6.19069i | 0.547566 | − | 0.226809i | ||||
\(746\) | 51.7498 | − | 6.08466i | 1.89470 | − | 0.222775i | ||||
\(747\) | 2.28395 | − | 1.52609i | 0.0835655 | − | 0.0558367i | ||||
\(748\) | −13.9741 | − | 30.4352i | −0.510945 | − | 1.11282i | ||||
\(749\) | −5.99956 | − | 30.1618i | −0.219219 | − | 1.10209i | ||||
\(750\) | 13.8297 | + | 1.09912i | 0.504990 | + | 0.0401342i | ||||
\(751\) | 9.73589 | − | 9.73589i | 0.355268 | − | 0.355268i | −0.506797 | − | 0.862065i | \(-0.669171\pi\) |
0.862065 | + | 0.506797i | \(0.169171\pi\) | |||||||
\(752\) | −8.40742 | − | 16.6267i | −0.306587 | − | 0.606312i | ||||
\(753\) | 6.49764 | + | 6.49764i | 0.236787 | + | 0.236787i | ||||
\(754\) | −7.09691 | − | 8.32237i | −0.258454 | − | 0.303083i | ||||
\(755\) | 4.91864 | − | 0.978379i | 0.179008 | − | 0.0356068i | ||||
\(756\) | 0.177324 | + | 4.69725i | 0.00644919 | + | 0.170837i | ||||
\(757\) | 22.0131 | + | 32.9450i | 0.800082 | + | 1.19741i | 0.977012 | + | 0.213183i | \(0.0683831\pi\) |
−0.176931 | + | 0.984223i | \(0.556617\pi\) | |||||||
\(758\) | 10.6180 | − | 13.4476i | 0.385663 | − | 0.488438i | ||||
\(759\) | 1.73463 | + | 4.18778i | 0.0629632 | + | 0.152007i | ||||
\(760\) | −1.41131 | − | 9.04563i | −0.0511937 | − | 0.328120i | ||||
\(761\) | −14.5474 | + | 35.1206i | −0.527344 | + | 1.27312i | 0.405913 | + | 0.913912i | \(0.366954\pi\) |
−0.933257 | + | 0.359210i | \(0.883046\pi\) | |||||||
\(762\) | −13.1305 | + | 7.34018i | −0.475667 | + | 0.265906i | ||||
\(763\) | −16.2170 | − | 3.22575i | −0.587093 | − | 0.116780i | ||||
\(764\) | 19.0957 | + | 26.3682i | 0.690859 | + | 0.953967i | ||||
\(765\) | 3.04088 | + | 2.03185i | 0.109943 | + | 0.0734618i | ||||
\(766\) | 2.27118 | − | 4.44898i | 0.0820609 | − | 0.160748i | ||||
\(767\) | −34.2984 | −1.23844 | ||||||||
\(768\) | −5.44546 | − | 15.0448i | −0.196496 | − | 0.542884i | ||||
\(769\) | 4.52202 | 0.163068 | 0.0815340 | − | 0.996671i | \(-0.474018\pi\) | ||||
0.0815340 | + | 0.996671i | \(0.474018\pi\) | |||||||
\(770\) | 8.71675 | − | 17.0751i | 0.314130 | − | 0.615345i | ||||
\(771\) | −11.6001 | − | 7.75094i | −0.417767 | − | 0.279143i | ||||
\(772\) | 12.1130 | + | 16.7261i | 0.435956 | + | 0.601987i | ||||
\(773\) | 0.945190 | + | 0.188010i | 0.0339961 | + | 0.00676225i | 0.212059 | − | 0.977257i | \(-0.431983\pi\) |
−0.178063 | + | 0.984019i | \(0.556983\pi\) | |||||||
\(774\) | −13.9900 | + | 7.82067i | −0.502861 | + | 0.281108i | ||||
\(775\) | 4.63945 | − | 11.2006i | 0.166654 | − | 0.402338i | ||||
\(776\) | 7.52542 | + | 48.2332i | 0.270147 | + | 1.73147i | ||||
\(777\) | 7.21477 | + | 17.4180i | 0.258829 | + | 0.624868i | ||||
\(778\) | −16.5026 | + | 20.9004i | −0.591648 | + | 0.749317i | ||||
\(779\) | −7.72073 | − | 11.5549i | −0.276624 | − | 0.413997i | ||||
\(780\) | 0.238177 | + | 6.30925i | 0.00852811 | + | 0.225907i | ||||
\(781\) | −71.7452 | + | 14.2710i | −2.56724 | + | 0.510657i | ||||
\(782\) | 2.63739 | + | 3.09280i | 0.0943129 | + | 0.110598i | ||||
\(783\) | 1.94434 | + | 1.94434i | 0.0694849 | + | 0.0694849i | ||||
\(784\) | −5.26907 | + | 2.66435i | −0.188181 | + | 0.0951554i | ||||
\(785\) | 12.1970 | − | 12.1970i | 0.435329 | − | 0.435329i | ||||
\(786\) | 14.1815 | + | 1.12708i | 0.505838 | + | 0.0402015i | ||||
\(787\) | 0.997819 | + | 5.01637i | 0.0355684 | + | 0.178814i | 0.994486 | − | 0.104871i | \(-0.0334429\pi\) |
−0.958917 | + | 0.283685i | \(0.908443\pi\) | |||||||
\(788\) | −14.3467 | − | 31.2467i | −0.511080 | − | 1.11312i | ||||
\(789\) | 18.2069 | − | 12.1654i | 0.648182 | − | 0.433101i | ||||
\(790\) | 11.1277 | − | 1.30838i | 0.395906 | − | 0.0465500i | ||||
\(791\) | −16.5947 | + | 6.87374i | −0.590039 | + | 0.244402i | ||||
\(792\) | −6.11569 | + | 13.1859i | −0.217312 | + | 0.468541i | ||||
\(793\) | 9.17920 | + | 3.80215i | 0.325963 | + | 0.135018i | ||||
\(794\) | 1.02245 | − | 3.61468i | 0.0362852 | − | 0.128280i | ||||
\(795\) | 2.87855 | − | 14.4714i | 0.102091 | − | 0.513249i | ||||
\(796\) | 35.8239 | − | 8.54232i | 1.26974 | − | 0.302775i | ||||
\(797\) | 15.0187 | − | 22.4771i | 0.531991 | − | 0.796181i | −0.463981 | − | 0.885845i | \(-0.653579\pi\) |
0.995972 | + | 0.0896641i | \(0.0285794\pi\) | |||||||
\(798\) | −9.11859 | + | 2.95506i | −0.322794 | + | 0.104608i | ||||
\(799\) | 15.1774i | 0.536939i | ||||||||
\(800\) | 8.02165 | + | 19.5785i | 0.283608 | + | 0.692204i | ||||
\(801\) | 7.93520i | 0.280377i | ||||||||
\(802\) | 0.408524 | + | 1.26060i | 0.0144255 | + | 0.0445134i | ||||
\(803\) | 27.7292 | − | 41.4996i | 0.978541 | − | 1.46449i | ||||
\(804\) | −10.0938 | + | 16.4149i | −0.355980 | + | 0.578907i | ||||
\(805\) | −0.453936 | + | 2.28209i | −0.0159992 | + | 0.0804332i | ||||
\(806\) | 12.4063 | + | 3.50924i | 0.436993 | + | 0.123608i | ||||
\(807\) | −14.2222 | − | 5.89101i | −0.500644 | − | 0.207373i | ||||
\(808\) | 0.301573 | − | 7.24938i | 0.0106093 | − | 0.255032i | ||||
\(809\) | −7.24881 | + | 3.00256i | −0.254855 | + | 0.105564i | −0.506453 | − | 0.862267i | \(-0.669044\pi\) |
0.251599 | + | 0.967832i | \(0.419044\pi\) | |||||||
\(810\) | −0.185354 | − | 1.57643i | −0.00651269 | − | 0.0553902i | ||||
\(811\) | −27.9633 | + | 18.6845i | −0.981924 | + | 0.656100i | −0.939338 | − | 0.342992i | \(-0.888559\pi\) |
−0.0425854 | + | 0.999093i | \(0.513559\pi\) | |||||||
\(812\) | 4.49229 | − | 12.1195i | 0.157648 | − | 0.425310i | ||||
\(813\) | −1.13525 | − | 5.70726i | −0.0398148 | − | 0.200162i | ||||
\(814\) | −4.61863 | + | 58.1141i | −0.161883 | + | 2.03690i | ||||
\(815\) | 0.887585 | − | 0.887585i | 0.0310907 | − | 0.0310907i | ||||
\(816\) | −1.57175 | + | 12.9387i | −0.0550223 | + | 0.452945i | ||||
\(817\) | −23.1107 | − | 23.1107i | −0.808541 | − | 0.808541i | ||||
\(818\) | 21.7980 | − | 18.5883i | 0.762150 | − | 0.649925i | ||||
\(819\) | 6.48354 | − | 1.28966i | 0.226553 | − | 0.0450642i | ||||
\(820\) | −7.93204 | − | 7.35495i | −0.276999 | − | 0.256846i | ||||
\(821\) | −0.243998 | − | 0.365168i | −0.00851558 | − | 0.0127445i | 0.827187 | − | 0.561926i | \(-0.189939\pi\) |
−0.835703 | + | 0.549182i | \(0.814939\pi\) | |||||||
\(822\) | 3.79304 | + | 2.99492i | 0.132298 | + | 0.104460i | ||||
\(823\) | −9.52365 | − | 22.9921i | −0.331974 | − | 0.801455i | −0.998435 | − | 0.0559161i | \(-0.982192\pi\) |
0.666462 | − | 0.745539i | \(-0.267808\pi\) | |||||||
\(824\) | −33.7571 | − | 8.18674i | −1.17598 | − | 0.285198i | ||||
\(825\) | 7.35554 | − | 17.7578i | 0.256087 | − | 0.618248i | ||||
\(826\) | −19.7776 | − | 35.3791i | −0.688149 | − | 1.23100i | ||||
\(827\) | −50.5251 | − | 10.0501i | −1.75693 | − | 0.349475i | −0.791705 | − | 0.610903i | \(-0.790807\pi\) |
−0.965223 | + | 0.261428i | \(0.915807\pi\) | |||||||
\(828\) | 0.278645 | − | 1.74196i | 0.00968359 | − | 0.0605373i | ||||
\(829\) | −32.7044 | − | 21.8524i | −1.13587 | − | 0.758964i | −0.162162 | − | 0.986764i | \(-0.551847\pi\) |
−0.973708 | + | 0.227800i | \(0.926847\pi\) | |||||||
\(830\) | 3.88337 | + | 1.98244i | 0.134794 | + | 0.0688113i | ||||
\(831\) | −10.6046 | −0.367868 | ||||||||
\(832\) | −19.6827 | + | 10.9039i | −0.682374 | + | 0.378024i | ||||
\(833\) | 4.80980 | 0.166650 | ||||||||
\(834\) | 22.3436 | + | 11.4063i | 0.773696 | + | 0.394967i | ||||
\(835\) | 5.92165 | + | 3.95672i | 0.204927 | + | 0.136928i | ||||
\(836\) | −29.2680 | − | 4.68172i | −1.01225 | − | 0.161921i | ||||
\(837\) | −3.17907 | − | 0.632356i | −0.109885 | − | 0.0218574i | ||||
\(838\) | 4.51893 | + | 8.08369i | 0.156104 | + | 0.279246i | ||||
\(839\) | −19.4130 | + | 46.8670i | −0.670210 | + | 1.61803i | 0.111043 | + | 0.993816i | \(0.464581\pi\) |
−0.781253 | + | 0.624215i | \(0.785419\pi\) | |||||||
\(840\) | −6.37071 | + | 3.88379i | −0.219810 | + | 0.134004i | ||||
\(841\) | 8.20439 | + | 19.8072i | 0.282910 | + | 0.683006i | ||||
\(842\) | −14.7689 | − | 11.6613i | −0.508969 | − | 0.401874i | ||||
\(843\) | 3.25152 | + | 4.86625i | 0.111988 | + | 0.167603i | ||||
\(844\) | −12.5331 | + | 13.5165i | −0.431408 | + | 0.465257i | ||||
\(845\) | −5.60209 | + | 1.11432i | −0.192718 | + | 0.0383339i | ||||
\(846\) | 5.01224 | − | 4.27420i | 0.172324 | − | 0.146950i | ||||
\(847\) | −25.6079 | − | 25.6079i | −0.879899 | − | 0.879899i | ||||
\(848\) | 50.6536 | − | 14.1178i | 1.73945 | − | 0.484808i | ||||
\(849\) | −13.9326 | + | 13.9326i | −0.478165 | + | 0.478165i | ||||
\(850\) | 1.36550 | − | 17.1815i | 0.0468363 | − | 0.589319i | ||||
\(851\) | −1.38035 | − | 6.93951i | −0.0473179 | − | 0.237883i | ||||
\(852\) | 26.6944 | + | 9.89472i | 0.914534 | + | 0.338987i | ||||
\(853\) | −17.3242 | + | 11.5757i | −0.593171 | + | 0.396344i | −0.815610 | − | 0.578603i | \(-0.803598\pi\) |
0.222439 | + | 0.974947i | \(0.428598\pi\) | |||||||
\(854\) | 1.37107 | + | 11.6609i | 0.0469169 | + | 0.399027i | ||||
\(855\) | 2.99042 | − | 1.23867i | 0.102270 | − | 0.0423617i | ||||
\(856\) | −27.2343 | + | 25.0589i | −0.930849 | + | 0.856496i | ||||
\(857\) | −21.8298 | − | 9.04220i | −0.745692 | − | 0.308876i | −0.0227092 | − | 0.999742i | \(-0.507229\pi\) |
−0.722982 | + | 0.690867i | \(0.757229\pi\) | |||||||
\(858\) | 19.6694 | + | 5.56366i | 0.671501 | + | 0.189940i | ||||
\(859\) | −7.64312 | + | 38.4246i | −0.260780 | + | 1.31103i | 0.599158 | + | 0.800631i | \(0.295502\pi\) |
−0.859938 | + | 0.510398i | \(0.829498\pi\) | |||||||
\(860\) | −21.6711 | − | 13.3259i | −0.738978 | − | 0.454411i | ||||
\(861\) | −6.29226 | + | 9.41703i | −0.214440 | + | 0.320931i | ||||
\(862\) | −9.58867 | − | 29.5883i | −0.326592 | − | 1.00778i | ||||
\(863\) | − | 3.30235i | − | 0.112413i | −0.998419 | − | 0.0562067i | \(-0.982099\pi\) | ||
0.998419 | − | 0.0562067i | \(-0.0179006\pi\) | |||||||
\(864\) | 4.71555 | − | 3.12468i | 0.160426 | − | 0.106304i | ||||
\(865\) | 23.6343i | 0.803589i | ||||||||
\(866\) | 51.4818 | − | 16.6837i | 1.74942 | − | 0.566936i | ||||
\(867\) | −3.54592 | + | 5.30684i | −0.120426 | + | 0.180230i | ||||
\(868\) | 3.53406 | + | 14.8208i | 0.119954 | + | 0.503049i | ||||
\(869\) | 7.07685 | − | 35.5777i | 0.240066 | − | 1.20689i | ||||
\(870\) | −1.18795 | + | 4.19981i | −0.0402754 | + | 0.142387i | ||||
\(871\) | 25.0370 | + | 10.3706i | 0.848345 | + | 0.351396i | ||||
\(872\) | 6.84409 | + | 18.6843i | 0.231770 | + | 0.632730i | ||||
\(873\) | −15.9455 | + | 6.60486i | −0.539675 | + | 0.223541i | ||||
\(874\) | 3.57275 | − | 0.420079i | 0.120850 | − | 0.0142094i | ||||
\(875\) | 19.1706 | − | 12.8094i | 0.648084 | − | 0.433036i | ||||
\(876\) | −17.6529 | + | 8.10521i | −0.596435 | + | 0.273850i | ||||
\(877\) | 2.04191 | + | 10.2654i | 0.0689504 | + | 0.346637i | 0.999825 | − | 0.0187015i | \(-0.00595322\pi\) |
−0.930875 | + | 0.365339i | \(0.880953\pi\) | |||||||
\(878\) | −27.8943 | − | 2.21690i | −0.941387 | − | 0.0748169i | ||||
\(879\) | 16.1330 | − | 16.1330i | 0.544154 | − | 0.544154i | ||||
\(880\) | −23.0058 | + | 1.73944i | −0.775526 | + | 0.0586365i | ||||
\(881\) | −0.695566 | − | 0.695566i | −0.0234342 | − | 0.0234342i | 0.695293 | − | 0.718727i | \(-0.255275\pi\) |
−0.718727 | + | 0.695293i | \(0.755275\pi\) | |||||||
\(882\) | −1.35451 | − | 1.58840i | −0.0456089 | − | 0.0534843i | ||||
\(883\) | 11.5281 | − | 2.29308i | 0.387951 | − | 0.0771683i | 0.00273878 | − | 0.999996i | \(-0.499128\pi\) |
0.385212 | + | 0.922828i | \(0.374128\pi\) | |||||||
\(884\) | 18.3167 | − | 0.691465i | 0.616057 | − | 0.0232565i | ||||
\(885\) | 7.60396 | + | 11.3801i | 0.255604 | + | 0.382539i | ||||
\(886\) | 9.55081 | − | 12.0960i | 0.320866 | − | 0.406373i | ||||
\(887\) | −0.936854 | − | 2.26177i | −0.0314565 | − | 0.0759427i | 0.907371 | − | 0.420331i | \(-0.138086\pi\) |
−0.938827 | + | 0.344389i | \(0.888086\pi\) | |||||||
\(888\) | 13.3782 | − | 18.3246i | 0.448944 | − | 0.614932i | ||||
\(889\) | −9.56706 | + | 23.0969i | −0.320869 | + | 0.774646i | ||||
\(890\) | −10.9942 | + | 6.14597i | −0.368528 | + | 0.206013i | ||||
\(891\) | −5.04020 | − | 1.00256i | −0.168853 | − | 0.0335870i | ||||
\(892\) | 35.4696 | − | 25.6870i | 1.18761 | − | 0.860064i | ||||
\(893\) | 11.1688 | + | 7.46278i | 0.373751 | + | 0.249732i | ||||
\(894\) | −9.26775 | + | 18.1545i | −0.309960 | + | 0.607176i | ||||
\(895\) | 5.83461 | 0.195030 | ||||||||
\(896\) | −22.5971 | − | 14.0153i | −0.754917 | − | 0.468219i | ||||
\(897\) | −2.48090 | −0.0828349 | ||||||||
\(898\) | 9.79089 | − | 19.1793i | 0.326726 | − | 0.640020i | ||||
\(899\) | 7.41069 | + | 4.95167i | 0.247160 | + | 0.165147i | ||||
\(900\) | −6.05861 | + | 4.38762i | −0.201954 | + | 0.146254i | ||||
\(901\) | −42.0127 | − | 8.35685i | −1.39965 | − | 0.278407i | ||||
\(902\) | −30.5692 | + | 17.0887i | −1.01784 | + | 0.568991i | ||||
\(903\) | −10.1933 | + | 24.6089i | −0.339213 | + | 0.818932i | ||||
\(904\) | 17.4584 | + | 12.7459i | 0.580657 | + | 0.423921i | ||||
\(905\) | 10.4375 | + | 25.1983i | 0.346954 | + | 0.837621i | ||||
\(906\) | −3.91583 | + | 4.95937i | −0.130095 | + | 0.164764i | ||||
\(907\) | 4.80524 | + | 7.19155i | 0.159555 | + | 0.238792i | 0.902630 | − | 0.430417i | \(-0.141633\pi\) |
−0.743075 | + | 0.669208i | \(0.766633\pi\) | |||||||
\(908\) | 35.0993 | − | 1.32502i | 1.16481 | − | 0.0439722i | ||||
\(909\) | 2.51597 | − | 0.500457i | 0.0834494 | − | 0.0165991i | ||||
\(910\) | 6.80845 | + | 7.98408i | 0.225698 | + | 0.264670i | ||||
\(911\) | 32.7068 | + | 32.7068i | 1.08363 | + | 1.08363i | 0.996168 | + | 0.0874577i | \(0.0278743\pi\) |
0.0874577 | + | 0.996168i | \(0.472126\pi\) | |||||||
\(912\) | 8.74856 | + | 7.51862i | 0.289694 | + | 0.248966i | ||||
\(913\) | 9.98159 | − | 9.98159i | 0.330342 | − | 0.330342i | ||||
\(914\) | 51.6600 | + | 4.10569i | 1.70876 | + | 0.135804i | ||||
\(915\) | −0.773485 | − | 3.88857i | −0.0255706 | − | 0.128552i | ||||
\(916\) | 11.7439 | − | 5.39215i | 0.388030 | − | 0.178162i | ||||
\(917\) | 19.6582 | − | 13.1352i | 0.649171 | − | 0.433762i | ||||
\(918\) | −4.57662 | + | 0.538112i | −0.151051 | + | 0.0177603i | ||||
\(919\) | −40.2874 | + | 16.6876i | −1.32896 | + | 0.550473i | −0.930359 | − | 0.366651i | \(-0.880504\pi\) |
−0.398601 | + | 0.917124i | \(0.630504\pi\) | |||||||
\(920\) | 2.62930 | − | 0.963119i | 0.0866856 | − | 0.0317531i | ||||
\(921\) | −20.8003 | − | 8.61576i | −0.685393 | − | 0.283899i | ||||
\(922\) | −10.1928 | + | 36.0351i | −0.335684 | + | 1.18675i | ||||
\(923\) | 7.81080 | − | 39.2676i | 0.257096 | − | 1.29251i | ||||
\(924\) | 5.60301 | + | 23.4973i | 0.184326 | + | 0.773004i | ||||
\(925\) | −16.6686 | + | 24.9464i | −0.548061 | + | 0.820232i | ||||
\(926\) | 13.1789 | − | 4.27088i | 0.433084 | − | 0.140350i | ||||
\(927\) | − | 12.2809i | − | 0.403358i | ||||||
\(928\) | −15.2674 | + | 2.97591i | −0.501176 | + | 0.0976891i | ||||
\(929\) | 24.6196i | 0.807743i | 0.914816 | + | 0.403872i | \(0.132336\pi\) | ||||
−0.914816 | + | 0.403872i | \(0.867664\pi\) | |||||||
\(930\) | −1.58612 | − | 4.89438i | −0.0520110 | − | 0.160493i | ||||
\(931\) | 2.36499 | − | 3.53946i | 0.0775094 | − | 0.116001i | ||||
\(932\) | 16.7657 | + | 10.3095i | 0.549180 | + | 0.337700i | ||||
\(933\) | 1.06447 | − | 5.35146i | 0.0348493 | − | 0.175199i | ||||
\(934\) | −8.98900 | − | 2.54262i | −0.294129 | − | 0.0831971i | ||||
\(935\) | 17.3637 | + | 7.19228i | 0.567854 | + | 0.235213i | ||||
\(936\) | −5.38662 | − | 5.85424i | −0.176067 | − | 0.191352i | ||||
\(937\) | −2.75903 | + | 1.14283i | −0.0901335 | + | 0.0373345i | −0.427295 | − | 0.904112i | \(-0.640533\pi\) |
0.337161 | + | 0.941447i | \(0.390533\pi\) | |||||||
\(938\) | 3.73969 | + | 31.8059i | 0.122105 | + | 1.03850i | ||||
\(939\) | −7.67951 | + | 5.13128i | −0.250611 | + | 0.167453i | ||||
\(940\) | 9.80399 | + | 3.63402i | 0.319771 | + | 0.118529i | ||||
\(941\) | −6.30860 | − | 31.7155i | −0.205654 | − | 1.03389i | −0.936317 | − | 0.351156i | \(-0.885789\pi\) |
0.730663 | − | 0.682739i | \(-0.239211\pi\) | |||||||
\(942\) | −1.72189 | + | 21.6657i | −0.0561021 | + | 0.705907i | ||||
\(943\) | 3.00555 | − | 3.00555i | 0.0978742 | − | 0.0978742i | ||||
\(944\) | −23.9644 | + | 42.4847i | −0.779976 | + | 1.38276i | ||||
\(945\) | −1.86530 | − | 1.86530i | −0.0606784 | − | 0.0606784i | ||||
\(946\) | −62.6718 | + | 53.4435i | −2.03764 | + | 1.73760i | ||||
\(947\) | 16.7723 | − | 3.33622i | 0.545026 | − | 0.108412i | 0.0851047 | − | 0.996372i | \(-0.472878\pi\) |
0.459922 | + | 0.887960i | \(0.347878\pi\) | |||||||
\(948\) | −9.59895 | + | 10.3521i | −0.311759 | + | 0.336221i | ||||
\(949\) | 15.1767 | + | 22.7136i | 0.492657 | + | 0.737314i | ||||
\(950\) | −11.9722 | − | 9.45302i | −0.388428 | − | 0.306696i | ||||
\(951\) | −0.153103 | − | 0.369624i | −0.00496471 | − | 0.0119859i | ||||
\(952\) | 11.2752 | + | 18.4951i | 0.365433 | + | 0.599431i | ||||
\(953\) | 16.8500 | − | 40.6796i | 0.545826 | − | 1.31774i | −0.374732 | − | 0.927133i | \(-0.622265\pi\) |
0.920558 | − | 0.390607i | \(-0.127735\pi\) | |||||||
\(954\) | 9.07165 | + | 16.2278i | 0.293706 | + | 0.525396i | ||||
\(955\) | −17.9194 | − | 3.56439i | −0.579859 | − | 0.115341i | ||||
\(956\) | −51.9424 | − | 8.30874i | −1.67994 | − | 0.268724i | ||||
\(957\) | 11.7491 | + | 7.85053i | 0.379796 | + | 0.253772i | ||||
\(958\) | −10.7851 | − | 5.50575i | −0.348452 | − | 0.177883i | ||||
\(959\) | 8.03182 | 0.259361 | ||||||||
\(960\) | 7.98153 | + | 4.11327i | 0.257603 | + | 0.132755i | ||||
\(961\) | 20.4936 | 0.661085 | ||||||||
\(962\) | −28.4185 | − | 14.5075i | −0.916249 | − | 0.467739i | ||||
\(963\) | −10.8795 | − | 7.26942i | −0.350585 | − | 0.234254i | ||||
\(964\) | 2.13109 | − | 13.3226i | 0.0686379 | − | 0.429092i | ||||
\(965\) | −11.3668 | − | 2.26100i | −0.365911 | − | 0.0727842i | ||||
\(966\) | −1.43057 | − | 2.55907i | −0.0460277 | − | 0.0823368i | ||||
\(967\) | 8.11299 | − | 19.5865i | 0.260896 | − | 0.629859i | −0.738098 | − | 0.674693i | \(-0.764276\pi\) |
0.998994 | + | 0.0448343i | \(0.0142760\pi\) | |||||||
\(968\) | −10.2718 | + | 42.3547i | −0.330149 | + | 1.36133i | ||||
\(969\) | −3.59605 | − | 8.68164i | −0.115522 | − | 0.278894i | ||||
\(970\) | −21.5012 | − | 16.9770i | −0.690361 | − | 0.545098i | ||||
\(971\) | 16.3196 | + | 24.4241i | 0.523722 | + | 0.783806i | 0.995178 | − | 0.0980838i | \(-0.0312713\pi\) |
−0.471456 | + | 0.881890i | \(0.656271\pi\) | |||||||
\(972\) | 1.46656 | + | 1.35986i | 0.0470398 | + | 0.0436175i | ||||
\(973\) | 40.8907 | − | 8.13367i | 1.31090 | − | 0.260754i | ||||
\(974\) | −9.71531 | + | 8.28475i | −0.311299 | + | 0.265461i | ||||
\(975\) | 7.43877 | + | 7.43877i | 0.238231 | + | 0.238231i | ||||
\(976\) | 11.1232 | − | 8.71348i | 0.356044 | − | 0.278912i | ||||
\(977\) | −1.63856 | + | 1.63856i | −0.0524223 | + | 0.0524223i | −0.732832 | − | 0.680410i | \(-0.761802\pi\) |
0.680410 | + | 0.732832i | \(0.261802\pi\) | |||||||
\(978\) | −0.125303 | + | 1.57663i | −0.00400676 | + | 0.0504152i | ||||
\(979\) | 7.95550 | + | 39.9950i | 0.254259 | + | 1.27825i | ||||
\(980\) | 1.15164 | − | 3.10693i | 0.0367877 | − | 0.0992473i | ||||
\(981\) | −5.84950 | + | 3.90851i | −0.186760 | + | 0.124789i | ||||
\(982\) | −2.23882 | − | 19.0411i | −0.0714437 | − | 0.607626i | ||||
\(983\) | −38.2444 | + | 15.8413i | −1.21981 | + | 0.505260i | −0.897348 | − | 0.441324i | \(-0.854509\pi\) |
−0.322458 | + | 0.946584i | \(0.604509\pi\) | |||||||
\(984\) | 13.6180 | + | 0.566508i | 0.434127 | + | 0.0180596i | ||||
\(985\) | 17.8266 | + | 7.38403i | 0.568003 | + | 0.235275i | ||||
\(986\) | 12.1927 | + | 3.44881i | 0.388294 | + | 0.109832i | ||||
\(987\) | 2.13573 | − | 10.7370i | 0.0679809 | − | 0.341763i | ||||
\(988\) | 8.49753 | − | 13.8190i | 0.270342 | − | 0.439640i | ||||
\(989\) | 5.55376 | − | 8.31178i | 0.176599 | − | 0.264299i | ||||
\(990\) | −2.51469 | − | 7.75970i | −0.0799220 | − | 0.246620i | ||||
\(991\) | − | 37.4986i | − | 1.19118i | −0.803288 | − | 0.595591i | \(-0.796918\pi\) | ||
0.803288 | − | 0.595591i | \(-0.203082\pi\) | |||||||
\(992\) | 13.0151 | − | 12.9155i | 0.413231 | − | 0.410067i | ||||
\(993\) | − | 21.2044i | − | 0.672902i | ||||||
\(994\) | 45.0088 | − | 14.5860i | 1.42759 | − | 0.462640i | ||||
\(995\) | −11.4824 | + | 17.1846i | −0.364016 | + | 0.544788i | ||||
\(996\) | −5.34395 | + | 1.27428i | −0.169329 | + | 0.0403772i | ||||
\(997\) | −1.99642 | + | 10.0367i | −0.0632271 | + | 0.317864i | −0.999436 | − | 0.0335797i | \(-0.989309\pi\) |
0.936209 | + | 0.351444i | \(0.114309\pi\) | |||||||
\(998\) | 2.83610 | − | 10.0265i | 0.0897751 | − | 0.317385i | ||||
\(999\) | 7.41098 | + | 3.06973i | 0.234473 | + | 0.0971219i |
(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 | 192.2.r.a.133.7 | yes | 128 | |
3.2 | odd | 2 | 576.2.bd.b.325.10 | 128 | |||
4.3 | odd | 2 | 768.2.r.a.625.5 | 128 | |||
64.13 | even | 16 | inner | 192.2.r.a.13.7 | ✓ | 128 | |
64.51 | odd | 16 | 768.2.r.a.145.5 | 128 | |||
192.77 | odd | 16 | 576.2.bd.b.397.10 | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.r.a.13.7 | ✓ | 128 | 64.13 | even | 16 | inner | |
192.2.r.a.133.7 | yes | 128 | 1.1 | even | 1 | trivial | |
576.2.bd.b.325.10 | 128 | 3.2 | odd | 2 | |||
576.2.bd.b.397.10 | 128 | 192.77 | odd | 16 | |||
768.2.r.a.145.5 | 128 | 64.51 | odd | 16 | |||
768.2.r.a.625.5 | 128 | 4.3 | odd | 2 |