Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [129,2,Mod(4,129)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(129, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("129.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 129 = 3 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 129.i (of order \(7\), degree \(6\), 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: | \(1.03007018607\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Character | \(\chi\) | \(=\) | 129.121 |
Dual form | 129.2.i.c.16.1 |
$q$-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 \(\left(\mathbb{Z}/129\mathbb{Z}\right)^\times\).
\(n\) | \(44\) | \(46\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.612872 | + | 2.68517i | −0.433366 | + | 1.89870i | 0.00516720 | + | 0.999987i | \(0.498355\pi\) |
−0.438533 | + | 0.898715i | \(0.644502\pi\) | |||||||
\(3\) | −0.222521 | − | 0.974928i | −0.128473 | − | 0.562875i | ||||
\(4\) | −5.03258 | − | 2.42357i | −2.51629 | − | 1.21178i | ||||
\(5\) | −1.63490 | + | 2.05010i | −0.731150 | + | 0.916833i | −0.998911 | − | 0.0466525i | \(-0.985145\pi\) |
0.267761 | + | 0.963485i | \(0.413716\pi\) | |||||||
\(6\) | 2.75422 | 1.12441 | ||||||||
\(7\) | −2.70528 | −1.02250 | −0.511250 | − | 0.859432i | \(-0.670817\pi\) | ||||
−0.511250 | + | 0.859432i | \(0.670817\pi\) | |||||||
\(8\) | 6.15755 | − | 7.72133i | 2.17702 | − | 2.72990i | ||||
\(9\) | −0.900969 | + | 0.433884i | −0.300323 | + | 0.144628i | ||||
\(10\) | −4.50288 | − | 5.64643i | −1.42394 | − | 1.78556i | ||||
\(11\) | −1.76912 | + | 0.851961i | −0.533409 | + | 0.256876i | −0.681142 | − | 0.732151i | \(-0.738516\pi\) |
0.147734 | + | 0.989027i | \(0.452802\pi\) | |||||||
\(12\) | −1.24295 | + | 5.44570i | −0.358808 | + | 1.57204i | ||||
\(13\) | −0.728517 | + | 0.913531i | −0.202054 | + | 0.253368i | −0.872527 | − | 0.488566i | \(-0.837520\pi\) |
0.670472 | + | 0.741934i | \(0.266091\pi\) | |||||||
\(14\) | 1.65799 | − | 7.26414i | 0.443117 | − | 1.94142i | ||||
\(15\) | 2.36250 | + | 1.13772i | 0.609995 | + | 0.293758i | ||||
\(16\) | 9.99397 | + | 12.5320i | 2.49849 | + | 3.13301i | ||||
\(17\) | 3.95584 | + | 4.96046i | 0.959431 | + | 1.20309i | 0.979120 | + | 0.203283i | \(0.0651610\pi\) |
−0.0196889 | + | 0.999806i | \(0.506268\pi\) | |||||||
\(18\) | −0.612872 | − | 2.68517i | −0.144455 | − | 0.632901i | ||||
\(19\) | −0.295245 | − | 0.142183i | −0.0677339 | − | 0.0326189i | 0.399710 | − | 0.916642i | \(-0.369111\pi\) |
−0.467444 | + | 0.884023i | \(0.654825\pi\) | |||||||
\(20\) | 13.1963 | − | 6.35502i | 2.95079 | − | 1.42102i | ||||
\(21\) | 0.601982 | + | 2.63745i | 0.131363 | + | 0.575540i | ||||
\(22\) | −1.20342 | − | 5.27252i | −0.256570 | − | 1.12411i | ||||
\(23\) | −7.25581 | + | 3.49422i | −1.51294 | + | 0.728594i | −0.992146 | − | 0.125087i | \(-0.960079\pi\) |
−0.520796 | + | 0.853681i | \(0.674365\pi\) | |||||||
\(24\) | −8.89792 | − | 4.28501i | −1.81628 | − | 0.874675i | ||||
\(25\) | −0.417407 | − | 1.82878i | −0.0834815 | − | 0.365756i | ||||
\(26\) | −2.00650 | − | 2.51607i | −0.393507 | − | 0.493442i | ||||
\(27\) | 0.623490 | + | 0.781831i | 0.119991 | + | 0.150464i | ||||
\(28\) | 13.6146 | + | 6.55642i | 2.57291 | + | 1.23905i | ||||
\(29\) | 0.646224 | − | 2.83129i | 0.120001 | − | 0.525758i | −0.878818 | − | 0.477158i | \(-0.841667\pi\) |
0.998818 | − | 0.0485999i | \(-0.0154759\pi\) | |||||||
\(30\) | −4.50288 | + | 5.64643i | −0.822110 | + | 1.03089i | ||||
\(31\) | 0.351713 | − | 1.54096i | 0.0631696 | − | 0.276764i | −0.933472 | − | 0.358650i | \(-0.883237\pi\) |
0.996642 | + | 0.0818860i | \(0.0260943\pi\) | |||||||
\(32\) | −21.9798 | + | 10.5849i | −3.88552 | + | 1.87117i | ||||
\(33\) | 1.22427 | + | 1.53518i | 0.213117 | + | 0.267241i | ||||
\(34\) | −15.7441 | + | 7.58196i | −2.70009 | + | 1.30030i | ||||
\(35\) | 4.42286 | − | 5.54610i | 0.747601 | − | 0.937461i | ||||
\(36\) | 5.58575 | 0.930958 | ||||||||
\(37\) | −1.56928 | −0.257988 | −0.128994 | − | 0.991645i | \(-0.541175\pi\) | ||||
−0.128994 | + | 0.991645i | \(0.541175\pi\) | |||||||
\(38\) | 0.562732 | − | 0.705643i | 0.0912871 | − | 0.114470i | ||||
\(39\) | 1.05274 | + | 0.506972i | 0.168573 | + | 0.0811804i | ||||
\(40\) | 5.76251 | + | 25.2472i | 0.911133 | + | 3.99193i | ||||
\(41\) | −0.656119 | + | 2.87465i | −0.102469 | + | 0.448944i | 0.897500 | + | 0.441015i | \(0.145381\pi\) |
−0.999969 | + | 0.00792983i | \(0.997476\pi\) | |||||||
\(42\) | −7.45095 | −1.14971 | ||||||||
\(43\) | 5.70080 | − | 3.24051i | 0.869363 | − | 0.494173i | ||||
\(44\) | 10.9680 | 1.65349 | ||||||||
\(45\) | 0.583489 | − | 2.55643i | 0.0869814 | − | 0.381091i | ||||
\(46\) | −4.93567 | − | 21.6246i | −0.727725 | − | 3.18837i | ||||
\(47\) | −2.07345 | − | 0.998523i | −0.302444 | − | 0.145650i | 0.276506 | − | 0.961012i | \(-0.410823\pi\) |
−0.578951 | + | 0.815363i | \(0.696538\pi\) | |||||||
\(48\) | 9.99397 | − | 12.5320i | 1.44251 | − | 1.80884i | ||||
\(49\) | 0.318543 | 0.0455062 | ||||||||
\(50\) | 5.16640 | 0.730640 | ||||||||
\(51\) | 3.95584 | − | 4.96046i | 0.553928 | − | 0.694604i | ||||
\(52\) | 5.88033 | − | 2.83182i | 0.815454 | − | 0.392702i | ||||
\(53\) | 8.36199 | + | 10.4856i | 1.14861 | + | 1.44031i | 0.878669 | + | 0.477431i | \(0.158432\pi\) |
0.269939 | + | 0.962877i | \(0.412997\pi\) | |||||||
\(54\) | −2.48147 | + | 1.19501i | −0.337685 | + | 0.162621i | ||||
\(55\) | 1.14572 | − | 5.01974i | 0.154489 | − | 0.676861i | ||||
\(56\) | −16.6579 | + | 20.8884i | −2.22601 | + | 2.79132i | ||||
\(57\) | −0.0729195 | + | 0.319481i | −0.00965842 | + | 0.0423163i | ||||
\(58\) | 7.20645 | + | 3.47044i | 0.946253 | + | 0.455691i | ||||
\(59\) | −1.99146 | − | 2.49721i | −0.259266 | − | 0.325109i | 0.635113 | − | 0.772419i | \(-0.280953\pi\) |
−0.894379 | + | 0.447310i | \(0.852382\pi\) | |||||||
\(60\) | −9.13214 | − | 11.4513i | −1.17895 | − | 1.47836i | ||||
\(61\) | −1.55679 | − | 6.82075i | −0.199327 | − | 0.873308i | −0.971339 | − | 0.237700i | \(-0.923607\pi\) |
0.772012 | − | 0.635608i | \(-0.219251\pi\) | |||||||
\(62\) | 3.92217 | + | 1.88882i | 0.498117 | + | 0.239880i | ||||
\(63\) | 2.43737 | − | 1.17378i | 0.307080 | − | 0.147882i | ||||
\(64\) | −7.81788 | − | 34.2524i | −0.977235 | − | 4.28155i | ||||
\(65\) | −0.681778 | − | 2.98707i | −0.0845642 | − | 0.370500i | ||||
\(66\) | −4.87254 | + | 2.34649i | −0.599768 | + | 0.288833i | ||||
\(67\) | 8.03294 | + | 3.86846i | 0.981380 | + | 0.472608i | 0.854580 | − | 0.519320i | \(-0.173815\pi\) |
0.126801 | + | 0.991928i | \(0.459529\pi\) | |||||||
\(68\) | −7.88608 | − | 34.5512i | −0.956328 | − | 4.18994i | ||||
\(69\) | 5.02118 | + | 6.29636i | 0.604479 | + | 0.757993i | ||||
\(70\) | 12.1816 | + | 15.2752i | 1.45597 | + | 1.82573i | ||||
\(71\) | −8.21755 | − | 3.95737i | −0.975244 | − | 0.469653i | −0.122777 | − | 0.992434i | \(-0.539180\pi\) |
−0.852467 | + | 0.522781i | \(0.824894\pi\) | |||||||
\(72\) | −2.19761 | + | 9.62834i | −0.258990 | + | 1.13471i | ||||
\(73\) | −1.74482 | + | 2.18793i | −0.204215 | + | 0.256078i | −0.873384 | − | 0.487033i | \(-0.838079\pi\) |
0.669168 | + | 0.743111i | \(0.266651\pi\) | |||||||
\(74\) | 0.961767 | − | 4.21378i | 0.111803 | − | 0.489842i | ||||
\(75\) | −1.69005 | + | 0.813884i | −0.195150 | + | 0.0939792i | ||||
\(76\) | 1.14126 | + | 1.43109i | 0.130911 | + | 0.164157i | ||||
\(77\) | 4.78596 | − | 2.30479i | 0.545410 | − | 0.262656i | ||||
\(78\) | −2.00650 | + | 2.51607i | −0.227191 | + | 0.284889i | ||||
\(79\) | 5.62016 | 0.632317 | 0.316159 | − | 0.948706i | \(-0.397607\pi\) | ||||
0.316159 | + | 0.948706i | \(0.397607\pi\) | |||||||
\(80\) | −42.0311 | −4.69922 | ||||||||
\(81\) | 0.623490 | − | 0.781831i | 0.0692766 | − | 0.0868702i | ||||
\(82\) | −7.31680 | − | 3.52358i | −0.808005 | − | 0.389115i | ||||
\(83\) | 1.56323 | + | 6.84897i | 0.171587 | + | 0.751772i | 0.985346 | + | 0.170569i | \(0.0545606\pi\) |
−0.813759 | + | 0.581203i | \(0.802582\pi\) | |||||||
\(84\) | 3.36252 | − | 14.7322i | 0.366881 | − | 1.60741i | ||||
\(85\) | −16.6368 | −1.80452 | ||||||||
\(86\) | 5.20746 | + | 17.2936i | 0.561535 | + | 1.86482i | ||||
\(87\) | −2.90411 | −0.311353 | ||||||||
\(88\) | −4.31515 | + | 18.9059i | −0.459997 | + | 2.01538i | ||||
\(89\) | 2.11631 | + | 9.27214i | 0.224328 | + | 0.982845i | 0.954178 | + | 0.299238i | \(0.0967325\pi\) |
−0.729851 | + | 0.683607i | \(0.760410\pi\) | |||||||
\(90\) | 6.50685 | + | 3.13353i | 0.685882 | + | 0.330304i | ||||
\(91\) | 1.97084 | − | 2.47136i | 0.206600 | − | 0.259069i | ||||
\(92\) | 44.9840 | 4.68990 | ||||||||
\(93\) | −1.58058 | −0.163899 | ||||||||
\(94\) | 3.95197 | − | 4.95561i | 0.407614 | − | 0.511132i | ||||
\(95\) | 0.774185 | − | 0.372828i | 0.0794297 | − | 0.0382513i | ||||
\(96\) | 15.2105 | + | 19.0734i | 1.55242 | + | 1.94667i | ||||
\(97\) | 5.18586 | − | 2.49738i | 0.526544 | − | 0.253570i | −0.151675 | − | 0.988430i | \(-0.548467\pi\) |
0.678218 | + | 0.734860i | \(0.262752\pi\) | |||||||
\(98\) | −0.195226 | + | 0.855343i | −0.0197208 | + | 0.0864027i | ||||
\(99\) | 1.22427 | − | 1.53518i | 0.123043 | − | 0.154292i | ||||
\(100\) | −2.33153 | + | 10.2151i | −0.233153 | + | 1.02151i | ||||
\(101\) | −9.47522 | − | 4.56303i | −0.942820 | − | 0.454038i | −0.101657 | − | 0.994820i | \(-0.532414\pi\) |
−0.841163 | + | 0.540782i | \(0.818129\pi\) | |||||||
\(102\) | 10.8953 | + | 13.6622i | 1.07879 | + | 1.35276i | ||||
\(103\) | −0.557805 | − | 0.699466i | −0.0549622 | − | 0.0689204i | 0.753591 | − | 0.657344i | \(-0.228320\pi\) |
−0.808553 | + | 0.588424i | \(0.799749\pi\) | |||||||
\(104\) | 2.56779 | + | 11.2502i | 0.251793 | + | 1.10318i | ||||
\(105\) | −6.39122 | − | 3.07785i | −0.623720 | − | 0.300368i | ||||
\(106\) | −33.2805 | + | 16.0270i | −3.23248 | + | 1.55668i | ||||
\(107\) | −0.000347833 | − | 0.00152396i | −3.36263e−5 | − | 0.000147326i | 0.974911 | − | 0.222595i | \(-0.0714526\pi\) |
−0.974945 | + | 0.222447i | \(0.928595\pi\) | |||||||
\(108\) | −1.24295 | − | 5.44570i | −0.119603 | − | 0.524013i | ||||
\(109\) | −15.1592 | + | 7.30030i | −1.45199 | + | 0.699242i | −0.982939 | − | 0.183930i | \(-0.941118\pi\) |
−0.469051 | + | 0.883171i | \(0.655404\pi\) | |||||||
\(110\) | 12.7767 | + | 6.15292i | 1.21821 | + | 0.586658i | ||||
\(111\) | 0.349197 | + | 1.52993i | 0.0331443 | + | 0.145215i | ||||
\(112\) | −27.0365 | − | 33.9027i | −2.55471 | − | 3.20350i | ||||
\(113\) | −2.02724 | − | 2.54208i | −0.190707 | − | 0.239139i | 0.677281 | − | 0.735725i | \(-0.263158\pi\) |
−0.867988 | + | 0.496586i | \(0.834587\pi\) | |||||||
\(114\) | −0.813171 | − | 0.391602i | −0.0761604 | − | 0.0366769i | ||||
\(115\) | 4.69904 | − | 20.5878i | 0.438188 | − | 1.91983i | ||||
\(116\) | −10.1140 | + | 12.6826i | −0.939061 | + | 1.17755i | ||||
\(117\) | 0.260005 | − | 1.13915i | 0.0240374 | − | 0.105315i | ||||
\(118\) | 7.92594 | − | 3.81693i | 0.729642 | − | 0.351377i | ||||
\(119\) | −10.7016 | − | 13.4194i | −0.981018 | − | 1.23016i | ||||
\(120\) | 23.3319 | − | 11.2361i | 2.12990 | − | 1.02571i | ||||
\(121\) | −4.45445 | + | 5.58571i | −0.404950 | + | 0.507792i | ||||
\(122\) | 19.2690 | 1.74453 | ||||||||
\(123\) | 2.94857 | 0.265864 | ||||||||
\(124\) | −5.50463 | + | 6.90259i | −0.494331 | + | 0.619871i | ||||
\(125\) | −7.38089 | − | 3.55445i | −0.660167 | − | 0.317920i | ||||
\(126\) | 1.65799 | + | 7.26414i | 0.147706 | + | 0.647141i | ||||
\(127\) | −2.36592 | + | 10.3658i | −0.209941 | + | 0.919812i | 0.754664 | + | 0.656112i | \(0.227800\pi\) |
−0.964605 | + | 0.263700i | \(0.915057\pi\) | |||||||
\(128\) | 47.9733 | 4.24028 | ||||||||
\(129\) | −4.42781 | − | 4.83678i | −0.389847 | − | 0.425855i | ||||
\(130\) | 8.43862 | 0.740116 | ||||||||
\(131\) | 4.12171 | − | 18.0584i | 0.360115 | − | 1.57777i | −0.392783 | − | 0.919631i | \(-0.628488\pi\) |
0.752898 | − | 0.658137i | \(-0.228655\pi\) | |||||||
\(132\) | −2.44061 | − | 10.6930i | −0.212428 | − | 0.930708i | ||||
\(133\) | 0.798721 | + | 0.384644i | 0.0692579 | + | 0.0333528i | ||||
\(134\) | −15.3106 | + | 19.1989i | −1.32264 | + | 1.65854i | ||||
\(135\) | −2.62218 | −0.225681 | ||||||||
\(136\) | 62.6596 | 5.37302 | ||||||||
\(137\) | −5.39157 | + | 6.76082i | −0.460633 | + | 0.577615i | −0.956850 | − | 0.290583i | \(-0.906151\pi\) |
0.496217 | + | 0.868199i | \(0.334722\pi\) | |||||||
\(138\) | −19.9841 | + | 9.62385i | −1.70116 | + | 0.819237i | ||||
\(139\) | 2.14608 | + | 2.69110i | 0.182028 | + | 0.228256i | 0.864471 | − | 0.502683i | \(-0.167654\pi\) |
−0.682443 | + | 0.730939i | \(0.739082\pi\) | |||||||
\(140\) | −35.6998 | + | 17.1921i | −3.01718 | + | 1.45300i | ||||
\(141\) | −0.512101 | + | 2.24366i | −0.0431267 | + | 0.188950i | ||||
\(142\) | 15.6625 | − | 19.6402i | 1.31437 | − | 1.64817i | ||||
\(143\) | 0.510538 | − | 2.23681i | 0.0426933 | − | 0.187052i | ||||
\(144\) | −14.4417 | − | 6.95476i | −1.20348 | − | 0.579563i | ||||
\(145\) | 4.74792 | + | 5.95371i | 0.394294 | + | 0.494428i | ||||
\(146\) | −4.80562 | − | 6.02605i | −0.397716 | − | 0.498720i | ||||
\(147\) | −0.0708826 | − | 0.310557i | −0.00584630 | − | 0.0256143i | ||||
\(148\) | 7.89752 | + | 3.80325i | 0.649172 | + | 0.312625i | ||||
\(149\) | −10.1853 | + | 4.90499i | −0.834414 | + | 0.401833i | −0.801769 | − | 0.597634i | \(-0.796107\pi\) |
−0.0326453 | + | 0.999467i | \(0.510393\pi\) | |||||||
\(150\) | −1.14963 | − | 5.03687i | −0.0938671 | − | 0.411259i | ||||
\(151\) | 2.16756 | + | 9.49670i | 0.176394 | + | 0.772831i | 0.983276 | + | 0.182119i | \(0.0582957\pi\) |
−0.806883 | + | 0.590711i | \(0.798847\pi\) | |||||||
\(152\) | −2.91583 | + | 1.40419i | −0.236505 | + | 0.113895i | ||||
\(153\) | −5.71635 | − | 2.75285i | −0.462139 | − | 0.222555i | ||||
\(154\) | 3.25558 | + | 14.2636i | 0.262342 | + | 1.14940i | ||||
\(155\) | 2.58410 | + | 3.24036i | 0.207560 | + | 0.260272i | ||||
\(156\) | −4.06931 | − | 5.10276i | −0.325806 | − | 0.408547i | ||||
\(157\) | 18.4951 | + | 8.90679i | 1.47607 | + | 0.710839i | 0.986898 | − | 0.161347i | \(-0.0515838\pi\) |
0.489174 | + | 0.872186i | \(0.337298\pi\) | |||||||
\(158\) | −3.44444 | + | 15.0911i | −0.274025 | + | 1.20058i | ||||
\(159\) | 8.36199 | − | 10.4856i | 0.663149 | − | 0.831563i | ||||
\(160\) | 14.2347 | − | 62.3662i | 1.12535 | − | 4.93048i | ||||
\(161\) | 19.6290 | − | 9.45283i | 1.54698 | − | 0.744988i | ||||
\(162\) | 1.71723 | + | 2.15334i | 0.134918 | + | 0.169182i | ||||
\(163\) | 0.0702984 | − | 0.0338539i | 0.00550620 | − | 0.00265164i | −0.431129 | − | 0.902290i | \(-0.641884\pi\) |
0.436635 | + | 0.899639i | \(0.356170\pi\) | |||||||
\(164\) | 10.2689 | − | 12.8768i | 0.801864 | − | 1.00551i | ||||
\(165\) | −5.14883 | −0.400836 | ||||||||
\(166\) | −19.3487 | −1.50175 | ||||||||
\(167\) | −6.17942 | + | 7.74875i | −0.478178 | + | 0.599616i | −0.961152 | − | 0.276018i | \(-0.910985\pi\) |
0.482974 | + | 0.875635i | \(0.339556\pi\) | |||||||
\(168\) | 24.0714 | + | 11.5922i | 1.85715 | + | 0.894355i | ||||
\(169\) | 2.58897 | + | 11.3430i | 0.199152 | + | 0.872540i | ||||
\(170\) | 10.1963 | − | 44.6727i | 0.782018 | − | 3.42624i | ||||
\(171\) | 0.327697 | 0.0250596 | ||||||||
\(172\) | −36.5433 | + | 2.49190i | −2.78640 | + | 0.190006i | ||||
\(173\) | −0.369715 | −0.0281089 | −0.0140544 | − | 0.999901i | \(-0.504474\pi\) | ||||
−0.0140544 | + | 0.999901i | \(0.504474\pi\) | |||||||
\(174\) | 1.77985 | − | 7.79801i | 0.134930 | − | 0.591166i | ||||
\(175\) | 1.12920 | + | 4.94737i | 0.0853598 | + | 0.373986i | ||||
\(176\) | −28.3573 | − | 13.6562i | −2.13751 | − | 1.02937i | ||||
\(177\) | −1.99146 | + | 2.49721i | −0.149687 | + | 0.187702i | ||||
\(178\) | −26.1943 | −1.96335 | ||||||||
\(179\) | 7.40224 | 0.553269 | 0.276635 | − | 0.960975i | \(-0.410781\pi\) | ||||
0.276635 | + | 0.960975i | \(0.410781\pi\) | |||||||
\(180\) | −9.13214 | + | 11.4513i | −0.680670 | + | 0.853533i | ||||
\(181\) | 17.7706 | − | 8.55785i | 1.32087 | − | 0.636100i | 0.365311 | − | 0.930885i | \(-0.380963\pi\) |
0.955563 | + | 0.294786i | \(0.0952482\pi\) | |||||||
\(182\) | 5.42814 | + | 6.80667i | 0.402361 | + | 0.504544i | ||||
\(183\) | −6.30332 | + | 3.03552i | −0.465955 | + | 0.224392i | ||||
\(184\) | −17.6981 | + | 77.5403i | −1.30472 | + | 5.71635i | ||||
\(185\) | 2.56561 | − | 3.21718i | 0.188628 | − | 0.236532i | ||||
\(186\) | 0.968697 | − | 4.24414i | 0.0710283 | − | 0.311195i | ||||
\(187\) | −11.2245 | − | 5.40541i | −0.820813 | − | 0.395283i | ||||
\(188\) | 8.01485 | + | 10.0503i | 0.584543 | + | 0.732994i | ||||
\(189\) | −1.68671 | − | 2.11507i | −0.122690 | − | 0.153849i | ||||
\(190\) | 0.526629 | + | 2.30731i | 0.0382057 | + | 0.167390i | ||||
\(191\) | −21.4879 | − | 10.3480i | −1.55481 | − | 0.748756i | −0.558096 | − | 0.829776i | \(-0.688468\pi\) |
−0.996712 | + | 0.0810198i | \(0.974182\pi\) | |||||||
\(192\) | −31.6540 | + | 15.2437i | −2.28443 | + | 1.10012i | ||||
\(193\) | 1.82550 | + | 7.99806i | 0.131403 | + | 0.575713i | 0.997164 | + | 0.0752560i | \(0.0239774\pi\) |
−0.865762 | + | 0.500457i | \(0.833165\pi\) | |||||||
\(194\) | 3.52761 | + | 15.4555i | 0.253268 | + | 1.10964i | ||||
\(195\) | −2.76046 | + | 1.32937i | −0.197681 | + | 0.0951981i | ||||
\(196\) | −1.60310 | − | 0.772011i | −0.114507 | − | 0.0551436i | ||||
\(197\) | 1.80480 | + | 7.90734i | 0.128587 | + | 0.563375i | 0.997640 | + | 0.0686569i | \(0.0218714\pi\) |
−0.869054 | + | 0.494718i | \(0.835271\pi\) | |||||||
\(198\) | 3.37190 | + | 4.22823i | 0.239631 | + | 0.300487i | ||||
\(199\) | 6.51097 | + | 8.16450i | 0.461551 | + | 0.578766i | 0.957080 | − | 0.289825i | \(-0.0935972\pi\) |
−0.495529 | + | 0.868591i | \(0.665026\pi\) | |||||||
\(200\) | −16.6908 | − | 8.03788i | −1.18022 | − | 0.568364i | ||||
\(201\) | 1.98397 | − | 8.69235i | 0.139939 | − | 0.613111i | ||||
\(202\) | 18.0596 | − | 22.6460i | 1.27067 | − | 1.59337i | ||||
\(203\) | −1.74822 | + | 7.65944i | −0.122701 | + | 0.537587i | ||||
\(204\) | −31.9301 | + | 15.3767i | −2.23555 | + | 1.07659i | ||||
\(205\) | −4.82063 | − | 6.04487i | −0.336687 | − | 0.422192i | ||||
\(206\) | 2.22005 | − | 1.06912i | 0.154678 | − | 0.0744890i | ||||
\(207\) | 5.02118 | − | 6.29636i | 0.348996 | − | 0.437627i | ||||
\(208\) | −18.7292 | −1.29864 | ||||||||
\(209\) | 0.643457 | 0.0445088 | ||||||||
\(210\) | 12.1816 | − | 15.2752i | 0.840607 | − | 1.05409i | ||||
\(211\) | 7.79717 | + | 3.75492i | 0.536779 | + | 0.258499i | 0.682575 | − | 0.730815i | \(-0.260860\pi\) |
−0.145796 | + | 0.989315i | \(0.546574\pi\) | |||||||
\(212\) | −16.6699 | − | 73.0355i | −1.14489 | − | 5.01610i | ||||
\(213\) | −2.02957 | + | 8.89212i | −0.139064 | + | 0.609278i | ||||
\(214\) | 0.00430526 | 0.000294301 | ||||||||
\(215\) | −2.67686 | + | 16.9851i | −0.182560 | + | 1.15838i | ||||
\(216\) | 9.87595 | 0.671973 | ||||||||
\(217\) | −0.951483 | + | 4.16872i | −0.0645909 | + | 0.282991i | ||||
\(218\) | −10.3119 | − | 45.1792i | −0.698408 | − | 3.05992i | ||||
\(219\) | 2.52133 | + | 1.21421i | 0.170376 | + | 0.0820487i | ||||
\(220\) | −17.9316 | + | 22.4855i | −1.20895 | + | 1.51597i | ||||
\(221\) | −7.41343 | −0.498681 | ||||||||
\(222\) | −4.32214 | −0.290083 | ||||||||
\(223\) | −2.11902 | + | 2.65717i | −0.141900 | + | 0.177937i | −0.847703 | − | 0.530471i | \(-0.822015\pi\) |
0.705803 | + | 0.708408i | \(0.250586\pi\) | |||||||
\(224\) | 59.4616 | − | 28.6352i | 3.97295 | − | 1.91327i | ||||
\(225\) | 1.16955 | + | 1.46657i | 0.0779700 | + | 0.0977712i | ||||
\(226\) | 8.06835 | − | 3.88551i | 0.536699 | − | 0.258460i | ||||
\(227\) | 0.425713 | − | 1.86517i | 0.0282556 | − | 0.123796i | −0.958833 | − | 0.283970i | \(-0.908348\pi\) |
0.987089 | + | 0.160174i | \(0.0512056\pi\) | |||||||
\(228\) | 1.14126 | − | 1.43109i | 0.0755816 | − | 0.0947763i | ||||
\(229\) | 5.51359 | − | 24.1566i | 0.364348 | − | 1.59631i | −0.377675 | − | 0.925938i | \(-0.623276\pi\) |
0.742023 | − | 0.670375i | \(-0.233867\pi\) | |||||||
\(230\) | 52.4019 | + | 25.2354i | 3.45528 | + | 1.66398i | ||||
\(231\) | −3.31198 | − | 4.15310i | −0.217913 | − | 0.273254i | ||||
\(232\) | −17.8822 | − | 22.4236i | −1.17402 | − | 1.47218i | ||||
\(233\) | −1.18430 | − | 5.18876i | −0.0775861 | − | 0.339927i | 0.921205 | − | 0.389077i | \(-0.127206\pi\) |
−0.998791 | + | 0.0491499i | \(0.984349\pi\) | |||||||
\(234\) | 2.89947 | + | 1.39631i | 0.189545 | + | 0.0912799i | ||||
\(235\) | 5.43696 | − | 2.61830i | 0.354668 | − | 0.170799i | ||||
\(236\) | 3.97003 | + | 17.3939i | 0.258427 | + | 1.13224i | ||||
\(237\) | −1.25060 | − | 5.47925i | −0.0812354 | − | 0.355915i | ||||
\(238\) | 42.5922 | − | 20.5113i | 2.76084 | − | 1.32955i | ||||
\(239\) | 17.8130 | + | 8.57828i | 1.15223 | + | 0.554883i | 0.909702 | − | 0.415263i | \(-0.136310\pi\) |
0.242524 | + | 0.970145i | \(0.422025\pi\) | |||||||
\(240\) | 9.35280 | + | 40.9773i | 0.603720 | + | 2.64507i | ||||
\(241\) | 7.57212 | + | 9.49514i | 0.487763 | + | 0.611635i | 0.963420 | − | 0.267995i | \(-0.0863611\pi\) |
−0.475657 | + | 0.879631i | \(0.657790\pi\) | |||||||
\(242\) | −12.2686 | − | 15.3843i | −0.788653 | − | 0.988940i | ||||
\(243\) | −0.900969 | − | 0.433884i | −0.0577972 | − | 0.0278337i | ||||
\(244\) | −8.69585 | + | 38.0990i | −0.556695 | + | 2.43904i | ||||
\(245\) | −0.520787 | + | 0.653046i | −0.0332718 | + | 0.0417216i | ||||
\(246\) | −1.80710 | + | 7.91742i | −0.115216 | + | 0.504796i | ||||
\(247\) | 0.344979 | − | 0.166133i | 0.0219505 | − | 0.0105708i | ||||
\(248\) | −9.73254 | − | 12.2042i | −0.618017 | − | 0.774969i | ||||
\(249\) | 6.32940 | − | 3.04808i | 0.401109 | − | 0.193164i | ||||
\(250\) | 14.0679 | − | 17.6405i | 0.889729 | − | 1.11568i | ||||
\(251\) | 10.8959 | 0.687746 | 0.343873 | − | 0.939016i | \(-0.388261\pi\) | ||||
0.343873 | + | 0.939016i | \(0.388261\pi\) | |||||||
\(252\) | −15.1110 | −0.951904 | ||||||||
\(253\) | 9.85944 | − | 12.3633i | 0.619858 | − | 0.777277i | ||||
\(254\) | −26.3838 | − | 12.7058i | −1.65547 | − | 0.797231i | ||||
\(255\) | 3.70205 | + | 16.2197i | 0.231831 | + | 1.01572i | ||||
\(256\) | −13.7657 | + | 60.3116i | −0.860358 | + | 3.76948i | ||||
\(257\) | 8.61920 | 0.537651 | 0.268826 | − | 0.963189i | \(-0.413364\pi\) | ||||
0.268826 | + | 0.963189i | \(0.413364\pi\) | |||||||
\(258\) | 15.7013 | − | 8.92509i | 0.977518 | − | 0.555652i | ||||
\(259\) | 4.24534 | 0.263792 | ||||||||
\(260\) | −3.80824 | + | 16.6850i | −0.236177 | + | 1.03476i | ||||
\(261\) | 0.646224 | + | 2.83129i | 0.0400003 | + | 0.175253i | ||||
\(262\) | 45.9637 | + | 22.1350i | 2.83965 | + | 1.36750i | ||||
\(263\) | −12.9400 | + | 16.2262i | −0.797914 | + | 1.00055i | 0.201862 | + | 0.979414i | \(0.435301\pi\) |
−0.999777 | + | 0.0211391i | \(0.993271\pi\) | |||||||
\(264\) | 19.3921 | 1.19350 | ||||||||
\(265\) | −35.1676 | −2.16033 | ||||||||
\(266\) | −1.52235 | + | 1.90896i | −0.0933411 | + | 0.117046i | ||||
\(267\) | 8.56875 | − | 4.12649i | 0.524399 | − | 0.252537i | ||||
\(268\) | −31.0510 | − | 38.9367i | −1.89674 | − | 2.37844i | ||||
\(269\) | 21.8108 | − | 10.5035i | 1.32983 | − | 0.640411i | 0.372128 | − | 0.928181i | \(-0.378628\pi\) |
0.957700 | + | 0.287770i | \(0.0929139\pi\) | |||||||
\(270\) | 1.60706 | − | 7.04099i | 0.0978025 | − | 0.428501i | ||||
\(271\) | −10.3718 | + | 13.0058i | −0.630040 | + | 0.790045i | −0.989718 | − | 0.143031i | \(-0.954315\pi\) |
0.359678 | + | 0.933076i | \(0.382886\pi\) | |||||||
\(272\) | −22.6302 | + | 99.1494i | −1.37216 | + | 6.01182i | ||||
\(273\) | −2.84795 | − | 1.37150i | −0.172366 | − | 0.0830070i | ||||
\(274\) | −14.8496 | − | 18.6208i | −0.897097 | − | 1.12492i | ||||
\(275\) | 2.29649 | + | 2.87971i | 0.138484 | + | 0.173653i | ||||
\(276\) | −10.0099 | − | 43.8561i | −0.602523 | − | 2.63983i | ||||
\(277\) | 7.64216 | + | 3.68027i | 0.459173 | + | 0.221126i | 0.649147 | − | 0.760663i | \(-0.275126\pi\) |
−0.189974 | + | 0.981789i | \(0.560840\pi\) | |||||||
\(278\) | −8.54133 | + | 4.11329i | −0.512275 | + | 0.246699i | ||||
\(279\) | 0.351713 | + | 1.54096i | 0.0210565 | + | 0.0922546i | ||||
\(280\) | −15.5892 | − | 68.3008i | −0.931633 | − | 4.08175i | ||||
\(281\) | 12.0743 | − | 5.81467i | 0.720291 | − | 0.346874i | −0.0375662 | − | 0.999294i | \(-0.511961\pi\) |
0.757857 | + | 0.652420i | \(0.226246\pi\) | |||||||
\(282\) | −5.71076 | − | 2.75016i | −0.340071 | − | 0.163769i | ||||
\(283\) | −7.45922 | − | 32.6810i | −0.443405 | − | 1.94268i | −0.305252 | − | 0.952272i | \(-0.598741\pi\) |
−0.138152 | − | 0.990411i | \(-0.544116\pi\) | |||||||
\(284\) | 31.7646 | + | 39.8316i | 1.88488 | + | 2.36357i | ||||
\(285\) | −0.535752 | − | 0.671812i | −0.0317352 | − | 0.0397947i | ||||
\(286\) | 5.69332 | + | 2.74176i | 0.336653 | + | 0.162124i | ||||
\(287\) | 1.77499 | − | 7.77673i | 0.104774 | − | 0.459046i | ||||
\(288\) | 15.2105 | − | 19.0734i | 0.896288 | − | 1.12391i | ||||
\(289\) | −5.17468 | + | 22.6718i | −0.304393 | + | 1.33363i | ||||
\(290\) | −18.8966 | + | 9.10012i | −1.10965 | + | 0.534377i | ||||
\(291\) | −3.58872 | − | 4.50012i | −0.210375 | − | 0.263802i | ||||
\(292\) | 14.0835 | − | 6.78227i | 0.824176 | − | 0.396902i | ||||
\(293\) | 10.5863 | − | 13.2748i | 0.618457 | − | 0.775521i | −0.369669 | − | 0.929163i | \(-0.620529\pi\) |
0.988127 | + | 0.153642i | \(0.0491004\pi\) | |||||||
\(294\) | 0.877340 | 0.0511675 | ||||||||
\(295\) | 8.37537 | 0.487633 | ||||||||
\(296\) | −9.66291 | + | 12.1169i | −0.561645 | + | 0.704281i | ||||
\(297\) | −1.76912 | − | 0.851961i | −0.102655 | − | 0.0494358i | ||||
\(298\) | −6.92843 | − | 30.3555i | −0.401353 | − | 1.75844i | ||||
\(299\) | 2.09391 | − | 9.17401i | 0.121094 | − | 0.530547i | ||||
\(300\) | 10.4778 | 0.604937 | ||||||||
\(301\) | −15.4223 | + | 8.76649i | −0.888924 | + | 0.505292i | ||||
\(302\) | −26.8287 | −1.54382 | ||||||||
\(303\) | −2.34019 | + | 10.2530i | −0.134440 | + | 0.589021i | ||||
\(304\) | −1.16883 | − | 5.12099i | −0.0670371 | − | 0.293709i | ||||
\(305\) | 16.5284 | + | 7.95967i | 0.946415 | + | 0.455770i | ||||
\(306\) | 10.8953 | − | 13.6622i | 0.622840 | − | 0.781017i | ||||
\(307\) | −32.4960 | −1.85465 | −0.927323 | − | 0.374263i | \(-0.877896\pi\) | ||||
−0.927323 | + | 0.374263i | \(0.877896\pi\) | |||||||
\(308\) | −29.6715 | −1.69069 | ||||||||
\(309\) | −0.557805 | + | 0.699466i | −0.0317324 | + | 0.0397912i | ||||
\(310\) | −10.2846 | + | 4.95282i | −0.584128 | + | 0.281301i | ||||
\(311\) | −4.98104 | − | 6.24602i | −0.282449 | − | 0.354180i | 0.620287 | − | 0.784375i | \(-0.287016\pi\) |
−0.902736 | + | 0.430195i | \(0.858445\pi\) | |||||||
\(312\) | 10.3968 | − | 5.00683i | 0.588602 | − | 0.283456i | ||||
\(313\) | 1.14632 | − | 5.02238i | 0.0647941 | − | 0.283882i | −0.932143 | − | 0.362091i | \(-0.882063\pi\) |
0.996937 | + | 0.0782092i | \(0.0249202\pi\) | |||||||
\(314\) | −35.2514 | + | 44.2038i | −1.98935 | + | 2.49457i | ||||
\(315\) | −1.57850 | + | 6.91587i | −0.0889385 | + | 0.389665i | ||||
\(316\) | −28.2839 | − | 13.6208i | −1.59109 | − | 0.766231i | ||||
\(317\) | 0.196425 | + | 0.246310i | 0.0110323 | + | 0.0138341i | 0.787317 | − | 0.616548i | \(-0.211470\pi\) |
−0.776285 | + | 0.630382i | \(0.782898\pi\) | |||||||
\(318\) | 23.0308 | + | 28.8797i | 1.29150 | + | 1.61949i | ||||
\(319\) | 1.26891 | + | 5.55944i | 0.0710451 | + | 0.311269i | ||||
\(320\) | 83.0023 | + | 39.9718i | 4.63997 | + | 2.23449i | ||||
\(321\) | −0.00140835 | 0.000678224i | −7.86062e−5 | 3.78548e-5i | ||||||
\(322\) | 13.3524 | + | 58.5006i | 0.744099 | + | 3.26011i | ||||
\(323\) | −0.462650 | − | 2.02700i | −0.0257425 | − | 0.112785i | ||||
\(324\) | −5.03258 | + | 2.42357i | −0.279588 | + | 0.134643i | ||||
\(325\) | 1.97474 | + | 0.950983i | 0.109539 | + | 0.0527511i | ||||
\(326\) | 0.0478196 | + | 0.209511i | 0.00264848 | + | 0.0116038i | ||||
\(327\) | 10.4905 | + | 13.1547i | 0.580126 | + | 0.727455i | ||||
\(328\) | 18.1560 | + | 22.7669i | 1.00250 | + | 1.25709i | ||||
\(329\) | 5.60928 | + | 2.70129i | 0.309249 | + | 0.148927i | ||||
\(330\) | 3.15558 | − | 13.8255i | 0.173709 | − | 0.761068i | ||||
\(331\) | −13.5197 | + | 16.9531i | −0.743109 | + | 0.931829i | −0.999395 | − | 0.0347717i | \(-0.988930\pi\) |
0.256286 | + | 0.966601i | \(0.417501\pi\) | |||||||
\(332\) | 8.73182 | − | 38.2566i | 0.479221 | − | 2.09960i | ||||
\(333\) | 1.41387 | − | 0.680884i | 0.0774796 | − | 0.0373122i | ||||
\(334\) | −17.0195 | − | 21.3418i | −0.931266 | − | 1.16777i | ||||
\(335\) | −21.0638 | + | 10.1438i | −1.15084 | + | 0.554215i | ||||
\(336\) | −27.0365 | + | 33.9027i | −1.47496 | + | 1.84954i | ||||
\(337\) | −12.1564 | −0.662203 | −0.331101 | − | 0.943595i | \(-0.607420\pi\) | ||||
−0.331101 | + | 0.943595i | \(0.607420\pi\) | |||||||
\(338\) | −32.0446 | −1.74300 | ||||||||
\(339\) | −2.02724 | + | 2.54208i | −0.110105 | + | 0.138067i | ||||
\(340\) | 83.7263 | + | 40.3205i | 4.54070 | + | 2.18668i | ||||
\(341\) | 0.690614 | + | 3.02578i | 0.0373988 | + | 0.163855i | ||||
\(342\) | −0.200837 | + | 0.879923i | −0.0108600 | + | 0.0475808i | ||||
\(343\) | 18.0752 | 0.975970 | ||||||||
\(344\) | 10.0819 | − | 63.9714i | 0.543580 | − | 3.44910i | ||||
\(345\) | −21.1173 | −1.13692 | ||||||||
\(346\) | 0.226588 | − | 0.992746i | 0.0121814 | − | 0.0533704i | ||||
\(347\) | 4.19123 | + | 18.3630i | 0.224997 | + | 0.985776i | 0.953656 | + | 0.300899i | \(0.0972868\pi\) |
−0.728659 | + | 0.684877i | \(0.759856\pi\) | |||||||
\(348\) | 14.6152 | + | 7.03829i | 0.783455 | + | 0.377292i | ||||
\(349\) | 11.9690 | − | 15.0087i | 0.640687 | − | 0.803396i | −0.350402 | − | 0.936599i | \(-0.613955\pi\) |
0.991089 | + | 0.133204i | \(0.0425264\pi\) | |||||||
\(350\) | −13.9766 | −0.747079 | ||||||||
\(351\) | −1.16845 | −0.0623673 | ||||||||
\(352\) | 29.8669 | − | 37.4519i | 1.59191 | − | 1.99619i | ||||
\(353\) | 8.83064 | − | 4.25261i | 0.470007 | − | 0.226344i | −0.183861 | − | 0.982952i | \(-0.558859\pi\) |
0.653868 | + | 0.756609i | \(0.273145\pi\) | |||||||
\(354\) | −5.48492 | − | 6.87788i | −0.291520 | − | 0.365555i | ||||
\(355\) | 21.5479 | − | 10.3769i | 1.14364 | − | 0.550749i | ||||
\(356\) | 11.8211 | − | 51.7918i | 0.626520 | − | 2.74496i | ||||
\(357\) | −10.7016 | + | 13.4194i | −0.566391 | + | 0.710232i | ||||
\(358\) | −4.53663 | + | 19.8763i | −0.239768 | + | 1.05049i | ||||
\(359\) | 16.3867 | + | 7.89144i | 0.864859 | + | 0.416494i | 0.813071 | − | 0.582164i | \(-0.197794\pi\) |
0.0517878 | + | 0.998658i | \(0.483508\pi\) | |||||||
\(360\) | −16.1462 | − | 20.2467i | −0.850979 | − | 1.06709i | ||||
\(361\) | −11.7794 | − | 14.7708i | −0.619966 | − | 0.777413i | ||||
\(362\) | 12.0882 | + | 52.9618i | 0.635341 | + | 2.78361i | ||||
\(363\) | 6.43687 | + | 3.09983i | 0.337848 | + | 0.162699i | ||||
\(364\) | −15.9079 | + | 7.66086i | −0.833802 | + | 0.401538i | ||||
\(365\) | −1.63288 | − | 7.15410i | −0.0854687 | − | 0.374463i | ||||
\(366\) | −4.28775 | − | 18.7859i | −0.224125 | − | 0.981954i | ||||
\(367\) | −15.7649 | + | 7.59197i | −0.822920 | + | 0.396298i | −0.797455 | − | 0.603378i | \(-0.793821\pi\) |
−0.0254652 | + | 0.999676i | \(0.508107\pi\) | |||||||
\(368\) | −116.304 | − | 56.0091i | −6.06277 | − | 2.91967i | ||||
\(369\) | −0.656119 | − | 2.87465i | −0.0341562 | − | 0.149648i | ||||
\(370\) | 7.06627 | + | 8.86082i | 0.367358 | + | 0.460652i | ||||
\(371\) | −22.6215 | − | 28.3665i | −1.17445 | − | 1.47272i | ||||
\(372\) | 7.95443 | + | 3.83065i | 0.412418 | + | 0.198610i | ||||
\(373\) | −2.31406 | + | 10.1386i | −0.119817 | + | 0.524954i | 0.879022 | + | 0.476782i | \(0.158197\pi\) |
−0.998839 | + | 0.0481724i | \(0.984660\pi\) | |||||||
\(374\) | 21.3936 | − | 26.8267i | 1.10624 | − | 1.38718i | ||||
\(375\) | −1.82293 | + | 7.98678i | −0.0941357 | + | 0.412436i | ||||
\(376\) | −20.4773 | + | 9.86137i | −1.05604 | + | 0.508561i | ||||
\(377\) | 2.11569 | + | 2.65299i | 0.108964 | + | 0.136636i | ||||
\(378\) | 6.71307 | − | 3.23285i | 0.345283 | − | 0.166280i | ||||
\(379\) | 8.04655 | − | 10.0900i | 0.413323 | − | 0.518291i | −0.530972 | − | 0.847389i | \(-0.678173\pi\) |
0.944296 | + | 0.329098i | \(0.106745\pi\) | |||||||
\(380\) | −4.79972 | −0.246221 | ||||||||
\(381\) | 10.6323 | 0.544711 | ||||||||
\(382\) | 40.9555 | − | 51.3566i | 2.09547 | − | 2.62763i | ||||
\(383\) | 30.5562 | + | 14.7151i | 1.56135 | + | 0.751907i | 0.997272 | − | 0.0738150i | \(-0.0235174\pi\) |
0.564078 | + | 0.825722i | \(0.309232\pi\) | |||||||
\(384\) | −10.6751 | − | 46.7705i | −0.544759 | − | 2.38675i | ||||
\(385\) | −3.09950 | + | 13.5798i | −0.157965 | + | 0.692091i | ||||
\(386\) | −22.5949 | −1.15005 | ||||||||
\(387\) | −3.73023 | + | 5.39308i | −0.189618 | + | 0.274146i | ||||
\(388\) | −32.1508 | −1.63221 | ||||||||
\(389\) | 7.02622 | − | 30.7839i | 0.356243 | − | 1.56080i | −0.406222 | − | 0.913775i | \(-0.633154\pi\) |
0.762465 | − | 0.647029i | \(-0.223989\pi\) | |||||||
\(390\) | −1.87777 | − | 8.22705i | −0.0950846 | − | 0.416593i | ||||
\(391\) | −46.0357 | − | 22.1696i | −2.32813 | − | 1.12117i | ||||
\(392\) | 1.96145 | − | 2.45958i | 0.0990681 | − | 0.124227i | ||||
\(393\) | −18.5228 | −0.934351 | ||||||||
\(394\) | −22.3387 | −1.12541 | ||||||||
\(395\) | −9.18840 | + | 11.5219i | −0.462319 | + | 0.579729i | ||||
\(396\) | −9.88184 | + | 4.75884i | −0.496581 | + | 0.239141i | ||||
\(397\) | 12.5619 | + | 15.7521i | 0.630462 | + | 0.790575i | 0.989774 | − | 0.142643i | \(-0.0455600\pi\) |
−0.359312 | + | 0.933218i | \(0.616989\pi\) | |||||||
\(398\) | −25.9135 | + | 12.4793i | −1.29893 | + | 0.625529i | ||||
\(399\) | 0.197268 | − | 0.864286i | 0.00987574 | − | 0.0432684i | ||||
\(400\) | 18.7468 | − | 23.5077i | 0.937340 | − | 1.17539i | ||||
\(401\) | −2.65451 | + | 11.6302i | −0.132560 | + | 0.580783i | 0.864396 | + | 0.502812i | \(0.167701\pi\) |
−0.996956 | + | 0.0779707i | \(0.975156\pi\) | |||||||
\(402\) | 22.1245 | + | 10.6546i | 1.10347 | + | 0.531404i | ||||
\(403\) | 1.15148 | + | 1.44391i | 0.0573594 | + | 0.0719265i | ||||
\(404\) | 36.6261 | + | 45.9276i | 1.82221 | + | 2.28498i | ||||
\(405\) | 0.583489 | + | 2.55643i | 0.0289938 | + | 0.127030i | ||||
\(406\) | −19.4955 | − | 9.38852i | −0.967544 | − | 0.465945i | ||||
\(407\) | 2.77623 | − | 1.33696i | 0.137613 | − | 0.0662708i | ||||
\(408\) | −13.9431 | − | 61.0886i | −0.690285 | − | 3.02434i | ||||
\(409\) | 2.05865 | + | 9.01955i | 0.101794 | + | 0.445988i | 0.999980 | + | 0.00637209i | \(0.00202831\pi\) |
−0.898186 | + | 0.439616i | \(0.855115\pi\) | |||||||
\(410\) | 19.1859 | − | 9.23946i | 0.947526 | − | 0.456304i | ||||
\(411\) | 7.79104 | + | 3.75197i | 0.384304 | + | 0.185071i | ||||
\(412\) | 1.11200 | + | 4.87200i | 0.0547844 | + | 0.240026i | ||||
\(413\) | 5.38746 | + | 6.75566i | 0.265099 | + | 0.332424i | ||||
\(414\) | 13.8294 | + | 17.3416i | 0.679680 | + | 0.852292i | ||||
\(415\) | −16.5968 | − | 7.99260i | −0.814705 | − | 0.392341i | ||||
\(416\) | 6.34301 | − | 27.7906i | 0.310992 | − | 1.36254i | ||||
\(417\) | 2.14608 | − | 2.69110i | 0.105094 | − | 0.131784i | ||||
\(418\) | −0.394357 | + | 1.72779i | −0.0192886 | + | 0.0845090i | ||||
\(419\) | −0.480486 | + | 0.231390i | −0.0234733 | + | 0.0113041i | −0.445584 | − | 0.895240i | \(-0.647004\pi\) |
0.422110 | + | 0.906544i | \(0.361289\pi\) | |||||||
\(420\) | 24.7050 | + | 30.9791i | 1.20548 | + | 1.51163i | ||||
\(421\) | −6.88303 | + | 3.31469i | −0.335458 | + | 0.161548i | −0.594028 | − | 0.804444i | \(-0.702463\pi\) |
0.258570 | + | 0.965993i | \(0.416749\pi\) | |||||||
\(422\) | −14.8613 | + | 18.6354i | −0.723435 | + | 0.907159i | ||||
\(423\) | 2.30136 | 0.111896 | ||||||||
\(424\) | 132.452 | 6.43245 | ||||||||
\(425\) | 7.42040 | − | 9.30489i | 0.359942 | − | 0.451353i | ||||
\(426\) | −22.6330 | − | 10.8995i | −1.09657 | − | 0.528081i | ||||
\(427\) | 4.21156 | + | 18.4521i | 0.203812 | + | 0.892957i | ||||
\(428\) | −0.00194291 | + | 0.00851243i | −9.39139e−5 | + | 0.000411464i | ||||
\(429\) | −2.29434 | −0.110772 | ||||||||
\(430\) | −43.9674 | − | 17.5975i | −2.12029 | − | 0.848628i | ||||
\(431\) | −12.7231 | −0.612848 | −0.306424 | − | 0.951895i | \(-0.599133\pi\) | ||||
−0.306424 | + | 0.951895i | \(0.599133\pi\) | |||||||
\(432\) | −3.56681 | + | 15.6272i | −0.171608 | + | 0.751864i | ||||
\(433\) | −7.51030 | − | 32.9048i | −0.360922 | − | 1.58130i | −0.750860 | − | 0.660462i | \(-0.770361\pi\) |
0.389937 | − | 0.920841i | \(-0.372497\pi\) | |||||||
\(434\) | −10.6106 | − | 5.10979i | −0.509324 | − | 0.245278i | ||||
\(435\) | 4.74792 | − | 5.95371i | 0.227645 | − | 0.285458i | ||||
\(436\) | 93.9828 | 4.50096 | ||||||||
\(437\) | 2.63906 | 0.126243 | ||||||||
\(438\) | −4.80562 | + | 6.02605i | −0.229621 | + | 0.287936i | ||||
\(439\) | 18.6548 | − | 8.98366i | 0.890343 | − | 0.428767i | 0.0679514 | − | 0.997689i | \(-0.478354\pi\) |
0.822391 | + | 0.568922i | \(0.192639\pi\) | |||||||
\(440\) | −31.7042 | − | 39.7558i | −1.51144 | − | 1.89528i | ||||
\(441\) | −0.286998 | + | 0.138211i | −0.0136666 | + | 0.00658147i | ||||
\(442\) | 4.54349 | − | 19.9063i | 0.216112 | − | 0.946847i | ||||
\(443\) | −0.839987 | + | 1.05331i | −0.0399090 | + | 0.0500443i | −0.801385 | − | 0.598148i | \(-0.795903\pi\) |
0.761476 | + | 0.648193i | \(0.224475\pi\) | |||||||
\(444\) | 1.95053 | − | 8.54582i | 0.0925679 | − | 0.405567i | ||||
\(445\) | −22.4688 | − | 10.8204i | −1.06512 | − | 0.512936i | ||||
\(446\) | −5.83626 | − | 7.31843i | −0.276355 | − | 0.346538i | ||||
\(447\) | 7.04846 | + | 8.83849i | 0.333381 | + | 0.418046i | ||||
\(448\) | 21.1496 | + | 92.6623i | 0.999223 | + | 4.37788i | ||||
\(449\) | −10.4959 | − | 5.05458i | −0.495334 | − | 0.238540i | 0.169502 | − | 0.985530i | \(-0.445784\pi\) |
−0.664836 | + | 0.746990i | \(0.731498\pi\) | |||||||
\(450\) | −4.65477 | + | 2.24162i | −0.219428 | + | 0.105671i | ||||
\(451\) | −1.28834 | − | 5.64457i | −0.0606654 | − | 0.265793i | ||||
\(452\) | 4.04136 | + | 17.7064i | 0.190090 | + | 0.832837i | ||||
\(453\) | 8.77627 | − | 4.22643i | 0.412345 | − | 0.198575i | ||||
\(454\) | 4.74739 | + | 2.28622i | 0.222806 | + | 0.107298i | ||||
\(455\) | 1.84440 | + | 8.08085i | 0.0864669 | + | 0.378836i | ||||
\(456\) | 2.01781 | + | 2.53026i | 0.0944928 | + | 0.118490i | ||||
\(457\) | −22.2696 | − | 27.9253i | −1.04173 | − | 1.30629i | −0.950590 | − | 0.310450i | \(-0.899520\pi\) |
−0.0911403 | − | 0.995838i | \(-0.529051\pi\) | |||||||
\(458\) | 61.4854 | + | 29.6098i | 2.87303 | + | 1.38358i | ||||
\(459\) | −1.41182 | + | 6.18559i | −0.0658982 | + | 0.288719i | ||||
\(460\) | −73.5443 | + | 92.2216i | −3.42902 | + | 4.29986i | ||||
\(461\) | −3.88517 | + | 17.0221i | −0.180951 | + | 0.792796i | 0.800228 | + | 0.599695i | \(0.204712\pi\) |
−0.981179 | + | 0.193101i | \(0.938146\pi\) | |||||||
\(462\) | 13.1816 | − | 6.34792i | 0.613263 | − | 0.295332i | ||||
\(463\) | 21.3512 | + | 26.7735i | 0.992273 | + | 1.24427i | 0.969642 | + | 0.244528i | \(0.0786329\pi\) |
0.0226310 | + | 0.999744i | \(0.492796\pi\) | |||||||
\(464\) | 41.9402 | − | 20.1973i | 1.94703 | − | 0.937638i | ||||
\(465\) | 2.58410 | − | 3.24036i | 0.119835 | − | 0.150268i | ||||
\(466\) | 14.6585 | 0.679043 | ||||||||
\(467\) | −17.9731 | −0.831696 | −0.415848 | − | 0.909434i | \(-0.636515\pi\) | ||||
−0.415848 | + | 0.909434i | \(0.636515\pi\) | |||||||
\(468\) | −4.06931 | + | 5.10276i | −0.188104 | + | 0.235875i | ||||
\(469\) | −21.7314 | − | 10.4653i | −1.00346 | − | 0.483241i | ||||
\(470\) | 3.69842 | + | 16.2039i | 0.170596 | + | 0.747428i | ||||
\(471\) | 4.56792 | − | 20.0134i | 0.210479 | − | 0.922167i | ||||
\(472\) | −31.5443 | −1.45194 | ||||||||
\(473\) | −7.32458 | + | 10.5897i | −0.336785 | + | 0.486915i | ||||
\(474\) | 15.4792 | 0.710982 | ||||||||
\(475\) | −0.136783 | + | 0.599286i | −0.00627605 | + | 0.0274972i | ||||
\(476\) | 21.3341 | + | 93.4706i | 0.977845 | + | 4.28422i | ||||
\(477\) | −12.0834 | − | 5.81907i | −0.553262 | − | 0.266437i | ||||
\(478\) | −33.9512 | + | 42.5735i | −1.55289 | + | 1.94727i | ||||
\(479\) | −39.3547 | −1.79816 | −0.899082 | − | 0.437780i | \(-0.855765\pi\) | ||||
−0.899082 | + | 0.437780i | \(0.855765\pi\) | |||||||
\(480\) | −63.9700 | −2.91982 | ||||||||
\(481\) | 1.14325 | − | 1.43358i | 0.0521275 | − | 0.0653658i | ||||
\(482\) | −30.1368 | + | 14.5131i | −1.37269 | + | 0.661054i | ||||
\(483\) | −13.5837 | − | 17.0334i | −0.618080 | − | 0.775047i | ||||
\(484\) | 35.9547 | − | 17.3149i | 1.63431 | − | 0.787041i | ||||
\(485\) | −3.35849 | + | 14.7145i | −0.152501 | + | 0.668150i | ||||
\(486\) | 1.71723 | − | 2.15334i | 0.0778951 | − | 0.0976774i | ||||
\(487\) | 6.18074 | − | 27.0796i | 0.280076 | − | 1.22709i | −0.617620 | − | 0.786477i | \(-0.711903\pi\) |
0.897696 | − | 0.440616i | \(-0.145240\pi\) | |||||||
\(488\) | −62.2513 | − | 29.9787i | −2.81798 | − | 1.35707i | ||||
\(489\) | −0.0486480 | − | 0.0610027i | −0.00219994 | − | 0.00275864i | ||||
\(490\) | −1.43436 | − | 1.79863i | −0.0647979 | − | 0.0812540i | ||||
\(491\) | −6.57126 | − | 28.7905i | −0.296557 | − | 1.29930i | −0.875217 | − | 0.483731i | \(-0.839281\pi\) |
0.578660 | − | 0.815569i | \(-0.303576\pi\) | |||||||
\(492\) | −14.8389 | − | 7.14606i | −0.668991 | − | 0.322169i | ||||
\(493\) | 16.6009 | − | 7.99456i | 0.747666 | − | 0.360057i | ||||
\(494\) | 0.234668 | + | 1.02815i | 0.0105582 | + | 0.0462585i | ||||
\(495\) | 1.14572 | + | 5.01974i | 0.0514964 | + | 0.225620i | ||||
\(496\) | 22.8263 | − | 10.9926i | 1.02493 | − | 0.493582i | ||||
\(497\) | 22.2308 | + | 10.7058i | 0.997187 | + | 0.480220i | ||||
\(498\) | 4.30549 | + | 18.8636i | 0.192934 | + | 0.845298i | ||||
\(499\) | 17.7974 | + | 22.3172i | 0.796720 | + | 0.999056i | 0.999802 | + | 0.0198940i | \(0.00633289\pi\) |
−0.203082 | + | 0.979162i | \(0.565096\pi\) | |||||||
\(500\) | 28.5305 | + | 35.7762i | 1.27592 | + | 1.59996i | ||||
\(501\) | 8.92953 | + | 4.30023i | 0.398942 | + | 0.192120i | ||||
\(502\) | −6.67783 | + | 29.2575i | −0.298046 | + | 1.30582i | ||||
\(503\) | 1.74364 | − | 2.18645i | 0.0777450 | − | 0.0974891i | −0.741438 | − | 0.671021i | \(-0.765856\pi\) |
0.819183 | + | 0.573532i | \(0.194427\pi\) | |||||||
\(504\) | 5.94514 | − | 26.0474i | 0.264818 | − | 1.16024i | ||||
\(505\) | 24.8457 | − | 11.9651i | 1.10562 | − | 0.532438i | ||||
\(506\) | 27.1551 | + | 34.0514i | 1.20719 | + | 1.51377i | ||||
\(507\) | 10.4825 | − | 5.04812i | 0.465545 | − | 0.224195i | ||||
\(508\) | 37.0288 | − | 46.4326i | 1.64289 | − | 2.06011i | ||||
\(509\) | 0.681837 | 0.0302219 | 0.0151109 | − | 0.999886i | \(-0.495190\pi\) | ||||
0.0151109 | + | 0.999886i | \(0.495190\pi\) | |||||||
\(510\) | −45.8216 | −2.02901 | ||||||||
\(511\) | 4.72022 | − | 5.91897i | 0.208810 | − | 0.261840i | ||||
\(512\) | −67.0654 | − | 32.2970i | −2.96390 | − | 1.42734i | ||||
\(513\) | −0.0729195 | − | 0.319481i | −0.00321947 | − | 0.0141054i | ||||
\(514\) | −5.28247 | + | 23.1440i | −0.233000 | + | 1.02084i | ||||
\(515\) | 2.34593 | 0.103374 | ||||||||
\(516\) | 10.5611 | + | 35.0726i | 0.464926 | + | 1.54399i | ||||
\(517\) | 4.51889 | 0.198740 | ||||||||
\(518\) | −2.60185 | + | 11.3994i | −0.114319 | + | 0.500863i | ||||
\(519\) | 0.0822692 | + | 0.360445i | 0.00361122 | + | 0.0158218i | ||||
\(520\) | −27.2622 | − | 13.1288i | −1.19553 | − | 0.575735i | ||||
\(521\) | 17.8979 | − | 22.4433i | 0.784121 | − | 0.983257i | −0.215855 | − | 0.976425i | \(-0.569254\pi\) |
0.999977 | − | 0.00683164i | \(-0.00217459\pi\) | |||||||
\(522\) | −7.99856 | −0.350087 | ||||||||
\(523\) | 22.8400 | 0.998725 | 0.499362 | − | 0.866393i | \(-0.333568\pi\) | ||||
0.499362 | + | 0.866393i | \(0.333568\pi\) | |||||||
\(524\) | −64.5085 | + | 80.8911i | −2.81807 | + | 3.53375i | ||||
\(525\) | 4.57205 | − | 2.20178i | 0.199541 | − | 0.0960938i | ||||
\(526\) | −35.6396 | − | 44.6907i | −1.55396 | − | 1.94861i | ||||
\(527\) | 9.03518 | − | 4.35111i | 0.393578 | − | 0.189537i | ||||
\(528\) | −7.00368 | + | 30.6851i | −0.304796 | + | 1.33540i | ||||
\(529\) | 26.0970 | − | 32.7246i | 1.13465 | − | 1.42281i | ||||
\(530\) | 21.5532 | − | 94.4309i | 0.936213 | − | 4.10182i | ||||
\(531\) | 2.87774 | + | 1.38585i | 0.124883 | + | 0.0601406i | ||||
\(532\) | −3.08742 | − | 3.87150i | −0.133857 | − | 0.167851i | ||||
\(533\) | −2.14809 | − | 2.69361i | −0.0930439 | − | 0.116673i | ||||
\(534\) | 5.82878 | + | 25.5375i | 0.252236 | + | 1.10512i | ||||
\(535\) | 0.00369293 | + | 0.00177842i | 0.000159659 | + | 7.68879e-5i | ||||
\(536\) | 79.3330 | − | 38.2047i | 3.42666 | − | 1.65019i | ||||
\(537\) | −1.64715 | − | 7.21665i | −0.0710799 | − | 0.311421i | ||||
\(538\) | 14.8365 | + | 65.0030i | 0.639647 | + | 2.80248i | ||||
\(539\) | −0.563540 | + | 0.271387i | −0.0242734 | + | 0.0116895i | ||||
\(540\) | 13.1963 | + | 6.35502i | 0.567879 | + | 0.273476i | ||||
\(541\) | 0.0902704 | + | 0.395500i | 0.00388103 | + | 0.0170039i | 0.976831 | − | 0.214011i | \(-0.0686527\pi\) |
−0.972950 | + | 0.231014i | \(0.925796\pi\) | |||||||
\(542\) | −28.5662 | − | 35.8208i | −1.22702 | − | 1.53864i | ||||
\(543\) | −12.2976 | − | 15.4207i | −0.527741 | − | 0.661766i | ||||
\(544\) | −139.455 | − | 67.1579i | −5.97907 | − | 2.87937i | ||||
\(545\) | 9.81748 | − | 43.0132i | 0.420535 | − | 1.84248i | ||||
\(546\) | 5.42814 | − | 6.80667i | 0.232303 | − | 0.291299i | ||||
\(547\) | −8.60953 | + | 37.7208i | −0.368117 | + | 1.61283i | 0.363831 | + | 0.931465i | \(0.381468\pi\) |
−0.731948 | + | 0.681360i | \(0.761389\pi\) | |||||||
\(548\) | 43.5188 | − | 20.9576i | 1.85903 | − | 0.895262i | ||||
\(549\) | 4.36204 | + | 5.46982i | 0.186167 | + | 0.233446i | ||||
\(550\) | −9.13997 | + | 4.40158i | −0.389730 | + | 0.187684i | ||||
\(551\) | −0.593355 | + | 0.744043i | −0.0252778 | + | 0.0316973i | ||||
\(552\) | 79.5344 | 3.38521 | ||||||||
\(553\) | −15.2041 | −0.646544 | ||||||||
\(554\) | −14.5658 | + | 18.2650i | −0.618843 | + | 0.776004i | ||||
\(555\) | −3.70742 | − | 1.78540i | −0.157371 | − | 0.0757859i | ||||
\(556\) | −4.27827 | − | 18.7443i | −0.181439 | − | 0.794937i | ||||
\(557\) | −5.06814 | + | 22.2050i | −0.214744 | + | 0.940856i | 0.746550 | + | 0.665330i | \(0.231709\pi\) |
−0.961294 | + | 0.275526i | \(0.911148\pi\) | |||||||
\(558\) | −4.35328 | −0.184289 | ||||||||
\(559\) | −1.19282 | + | 7.56862i | −0.0504508 | + | 0.320119i | ||||
\(560\) | 113.706 | 4.80495 | ||||||||
\(561\) | −2.77221 | + | 12.1459i | −0.117043 | + | 0.512798i | ||||
\(562\) | 8.21337 | + | 35.9851i | 0.346460 | + | 1.51794i | ||||
\(563\) | 13.3634 | + | 6.43546i | 0.563199 | + | 0.271222i | 0.693746 | − | 0.720220i | \(-0.255959\pi\) |
−0.130547 | + | 0.991442i | \(0.541673\pi\) | |||||||
\(564\) | 8.01485 | − | 10.0503i | 0.337486 | − | 0.423194i | ||||
\(565\) | 8.52585 | 0.358685 | ||||||||
\(566\) | 92.3255 | 3.88073 | ||||||||
\(567\) | −1.68671 | + | 2.11507i | −0.0708354 | + | 0.0888247i | ||||
\(568\) | −81.1562 | + | 39.0827i | −3.40524 | + | 1.63988i | ||||
\(569\) | 16.3097 | + | 20.4517i | 0.683739 | + | 0.857382i | 0.995693 | − | 0.0927157i | \(-0.0295548\pi\) |
−0.311954 | + | 0.950097i | \(0.600983\pi\) | |||||||
\(570\) | 2.13228 | − | 1.02685i | 0.0893113 | − | 0.0430100i | ||||
\(571\) | −1.71595 | + | 7.51809i | −0.0718105 | + | 0.314622i | −0.998058 | − | 0.0622939i | \(-0.980158\pi\) |
0.926247 | + | 0.376916i | \(0.123016\pi\) | |||||||
\(572\) | −7.99038 | + | 10.0196i | −0.334095 | + | 0.418941i | ||||
\(573\) | −5.30707 | + | 23.2518i | −0.221706 | + | 0.971357i | ||||
\(574\) | 19.7940 | + | 9.53228i | 0.826185 | + | 0.397870i | ||||
\(575\) | 9.41878 | + | 11.8108i | 0.392790 | + | 0.492544i | ||||
\(576\) | 21.9052 | + | 27.4683i | 0.912718 | + | 1.14451i | ||||
\(577\) | −4.89548 | − | 21.4485i | −0.203801 | − | 0.892912i | −0.968596 | − | 0.248638i | \(-0.920017\pi\) |
0.764795 | − | 0.644274i | \(-0.222840\pi\) | |||||||
\(578\) | −57.7061 | − | 27.7898i | −2.40026 | − | 1.15590i | ||||
\(579\) | 7.39131 | − | 3.55947i | 0.307173 | − | 0.147927i | ||||
\(580\) | −9.46513 | − | 41.4694i | −0.393018 | − | 1.72192i | ||||
\(581\) | −4.22898 | − | 18.5284i | −0.175448 | − | 0.768687i | ||||
\(582\) | 14.2830 | − | 6.87833i | 0.592050 | − | 0.285116i | ||||
\(583\) | −23.7267 | − | 11.4262i | −0.982658 | − | 0.473223i | ||||
\(584\) | 6.14993 | + | 26.9446i | 0.254486 | + | 1.11498i | ||||
\(585\) | 1.91030 | + | 2.39544i | 0.0789812 | + | 0.0990393i | ||||
\(586\) | 29.1570 | + | 36.5617i | 1.20446 | + | 1.51035i | ||||
\(587\) | −25.1628 | − | 12.1177i | −1.03858 | − | 0.500153i | −0.164723 | − | 0.986340i | \(-0.552673\pi\) |
−0.873855 | + | 0.486187i | \(0.838387\pi\) | |||||||
\(588\) | −0.395932 | + | 1.73469i | −0.0163280 | + | 0.0715375i | ||||
\(589\) | −0.322939 | + | 0.404952i | −0.0133065 | + | 0.0166858i | ||||
\(590\) | −5.13303 | + | 22.4893i | −0.211324 | + | 0.925869i | ||||
\(591\) | 7.30748 | − | 3.51910i | 0.300590 | − | 0.144756i | ||||
\(592\) | −15.6833 | − | 19.6662i | −0.644580 | − | 0.808278i | ||||
\(593\) | 28.8568 | − | 13.8967i | 1.18501 | − | 0.570668i | 0.265640 | − | 0.964072i | \(-0.414417\pi\) |
0.919366 | + | 0.393404i | \(0.128703\pi\) | |||||||
\(594\) | 3.37190 | − | 4.22823i | 0.138351 | − | 0.173486i | ||||
\(595\) | 45.0073 | 1.84512 | ||||||||
\(596\) | 63.1461 | 2.58656 | ||||||||
\(597\) | 6.51097 | − | 8.16450i | 0.266476 | − | 0.334151i | ||||
\(598\) | 23.3505 | + | 11.2450i | 0.954872 | + | 0.459842i | ||||
\(599\) | 5.05764 | + | 22.1590i | 0.206650 | + | 0.905391i | 0.966778 | + | 0.255618i | \(0.0822789\pi\) |
−0.760128 | + | 0.649773i | \(0.774864\pi\) | |||||||
\(600\) | −4.12229 | + | 18.0609i | −0.168292 | + | 0.737335i | ||||
\(601\) | −36.3801 | −1.48398 | −0.741989 | − | 0.670413i | \(-0.766117\pi\) | ||||
−0.741989 | + | 0.670413i | \(0.766117\pi\) | |||||||
\(602\) | −14.0876 | − | 46.7841i | −0.574170 | − | 1.90678i | ||||
\(603\) | −8.91589 | −0.363083 | ||||||||
\(604\) | 12.1074 | − | 53.0462i | 0.492645 | − | 2.15842i | ||||
\(605\) | −4.16867 | − | 18.2642i | −0.169481 | − | 0.742544i | ||||
\(606\) | −26.0969 | − | 12.5676i | −1.06011 | − | 0.510524i | ||||
\(607\) | −18.6482 | + | 23.3841i | −0.756908 | + | 0.949133i | −0.999781 | − | 0.0209250i | \(-0.993339\pi\) |
0.242873 | + | 0.970058i | \(0.421910\pi\) | |||||||
\(608\) | 7.99443 | 0.324217 | ||||||||
\(609\) | 7.85642 | 0.318358 | ||||||||
\(610\) | −31.5029 | + | 39.5034i | −1.27551 | + | 1.59944i | ||||
\(611\) | 2.42273 | − | 1.16672i | 0.0980131 | − | 0.0472006i | ||||
\(612\) | 22.0963 | + | 27.7079i | 0.893190 | + | 1.12002i | ||||
\(613\) | −18.0212 | + | 8.67857i | −0.727871 | + | 0.350524i | −0.760846 | − | 0.648932i | \(-0.775216\pi\) |
0.0329757 | + | 0.999456i | \(0.489502\pi\) | |||||||
\(614\) | 19.9159 | − | 87.2573i | 0.803741 | − | 3.52142i | ||||
\(615\) | −4.82063 | + | 6.04487i | −0.194386 | + | 0.243753i | ||||
\(616\) | 11.6737 | − | 51.1458i | 0.470347 | − | 2.06072i | ||||
\(617\) | −24.8137 | − | 11.9496i | −0.998960 | − | 0.481074i | −0.138375 | − | 0.990380i | \(-0.544188\pi\) |
−0.860585 | + | 0.509306i | \(0.829902\pi\) | |||||||
\(618\) | −1.53632 | − | 1.92649i | −0.0617999 | − | 0.0774946i | ||||
\(619\) | −6.63008 | − | 8.31386i | −0.266485 | − | 0.334162i | 0.630527 | − | 0.776167i | \(-0.282839\pi\) |
−0.897013 | + | 0.442005i | \(0.854267\pi\) | |||||||
\(620\) | −5.15148 | − | 22.5701i | −0.206888 | − | 0.906437i | ||||
\(621\) | −7.25581 | − | 3.49422i | −0.291166 | − | 0.140218i | ||||
\(622\) | 19.8244 | − | 9.54692i | 0.794885 | − | 0.382796i | ||||
\(623\) | −5.72520 | − | 25.0837i | −0.229375 | − | 1.00496i | ||||
\(624\) | 4.16764 | + | 18.2596i | 0.166839 | + | 0.730969i | ||||
\(625\) | 27.8042 | − | 13.3898i | 1.11217 | − | 0.535593i | ||||
\(626\) | 12.7834 | + | 6.15615i | 0.510927 | + | 0.246049i | ||||
\(627\) | −0.143183 | − | 0.627324i | −0.00571816 | − | 0.0250529i | ||||
\(628\) | −71.4921 | − | 89.6483i | −2.85285 | − | 3.57736i | ||||
\(629\) | −6.20781 | − | 7.78434i | −0.247521 | − | 0.310382i | ||||
\(630\) | −17.6029 | − | 8.47709i | −0.701315 | − | 0.337735i | ||||
\(631\) | −3.23744 | + | 14.1842i | −0.128881 | + | 0.564663i | 0.868712 | + | 0.495317i | \(0.164948\pi\) |
−0.997593 | + | 0.0693455i | \(0.977909\pi\) | |||||||
\(632\) | 34.6064 | − | 43.3951i | 1.37657 | − | 1.72616i | ||||
\(633\) | 1.92574 | − | 8.43722i | 0.0765413 | − | 0.335350i | ||||
\(634\) | −0.781767 | + | 0.376479i | −0.0310479 | + | 0.0149519i | ||||
\(635\) | −17.3828 | − | 21.7973i | −0.689815 | − | 0.865001i | ||||
\(636\) | −67.4950 | + | 32.5039i | −2.67635 | + | 1.28886i | ||||
\(637\) | −0.232064 | + | 0.290999i | −0.00919472 | + | 0.0115298i | ||||
\(638\) | −15.7057 | −0.621796 | ||||||||
\(639\) | 9.12080 | 0.360813 | ||||||||
\(640\) | −78.4315 | + | 98.3500i | −3.10028 | + | 3.88763i | ||||
\(641\) | 29.6742 | + | 14.2904i | 1.17206 | + | 0.564435i | 0.915589 | − | 0.402116i | \(-0.131725\pi\) |
0.256473 | + | 0.966551i | \(0.417439\pi\) | |||||||
\(642\) | −0.000958010 | − | 0.00419731i | −3.78096e−5 | − | 0.000165655i | ||||
\(643\) | 1.89649 | − | 8.30907i | 0.0747903 | − | 0.327678i | −0.923667 | − | 0.383195i | \(-0.874824\pi\) |
0.998458 | + | 0.0555175i | \(0.0176809\pi\) | |||||||
\(644\) | −121.694 | −4.79542 | ||||||||
\(645\) | 17.1549 | − | 1.16980i | 0.675475 | − | 0.0460608i | ||||
\(646\) | 5.72639 | 0.225302 | ||||||||
\(647\) | −4.00091 | + | 17.5291i | −0.157292 | + | 0.689141i | 0.833360 | + | 0.552730i | \(0.186414\pi\) |
−0.990652 | + | 0.136411i | \(0.956443\pi\) | |||||||
\(648\) | −2.19761 | − | 9.62834i | −0.0863301 | − | 0.378237i | ||||
\(649\) | 5.65065 | + | 2.72121i | 0.221807 | + | 0.106817i | ||||
\(650\) | −3.76381 | + | 4.71967i | −0.147629 | + | 0.185121i | ||||
\(651\) | 4.27593 | 0.167587 | ||||||||
\(652\) | −0.435830 | −0.0170684 | ||||||||
\(653\) | −14.3631 | + | 18.0108i | −0.562072 | + | 0.704815i | −0.978939 | − | 0.204152i | \(-0.934556\pi\) |
0.416868 | + | 0.908967i | \(0.363128\pi\) | |||||||
\(654\) | −41.7519 | + | 20.1066i | −1.63263 | + | 0.786232i | ||||
\(655\) | 30.2829 | + | 37.9736i | 1.18325 | + | 1.48375i | ||||
\(656\) | −42.5824 | + | 20.5066i | −1.66256 | + | 0.800649i | ||||
\(657\) | 0.622718 | − | 2.72831i | 0.0242945 | − | 0.106441i | ||||
\(658\) | −10.6912 | + | 13.4063i | −0.416786 | + | 0.522633i | ||||
\(659\) | 0.0126296 | − | 0.0553339i | 0.000491980 | − | 0.00215550i | −0.974681 | − | 0.223599i | \(-0.928220\pi\) |
0.975173 | + | 0.221443i | \(0.0710767\pi\) | |||||||
\(660\) | 25.9119 | + | 12.4785i | 1.00862 | + | 0.485726i | ||||
\(661\) | 23.5891 | + | 29.5798i | 0.917508 | + | 1.15052i | 0.988223 | + | 0.153022i | \(0.0489007\pi\) |
−0.0707144 | + | 0.997497i | \(0.522528\pi\) | |||||||
\(662\) | −37.2362 | − | 46.6928i | −1.44723 | − | 1.81477i | ||||
\(663\) | 1.64964 | + | 7.22756i | 0.0640668 | + | 0.280695i | ||||
\(664\) | 62.5088 | + | 30.1027i | 2.42581 | + | 1.16821i | ||||
\(665\) | −2.09439 | + | 1.00860i | −0.0812168 | + | 0.0391120i | ||||
\(666\) | 0.961767 | + | 4.21378i | 0.0372677 | + | 0.163281i | ||||
\(667\) | 5.20427 | + | 22.8014i | 0.201510 | + | 0.882873i | ||||
\(668\) | 49.8781 | − | 24.0200i | 1.92984 | − | 0.929362i | ||||
\(669\) | 3.06207 | + | 1.47462i | 0.118387 | + | 0.0570120i | ||||
\(670\) | −14.3284 | − | 62.7767i | −0.553553 | − | 2.42528i | ||||
\(671\) | 8.56517 | + | 10.7404i | 0.330655 | + | 0.414628i | ||||
\(672\) | −41.1487 | − | 51.5989i | −1.58735 | − | 1.99047i | ||||
\(673\) | 23.6061 | + | 11.3681i | 0.909949 | + | 0.438208i | 0.829472 | − | 0.558548i | \(-0.188641\pi\) |
0.0804768 | + | 0.996756i | \(0.474356\pi\) | |||||||
\(674\) | 7.45034 | − | 32.6421i | 0.286976 | − | 1.25733i | ||||
\(675\) | 1.16955 | − | 1.46657i | 0.0450160 | − | 0.0564482i | ||||
\(676\) | 14.4613 | − | 63.3592i | 0.556205 | − | 2.43689i | ||||
\(677\) | −18.3596 | + | 8.84151i | −0.705617 | + | 0.339807i | −0.752042 | − | 0.659115i | \(-0.770931\pi\) |
0.0464259 | + | 0.998922i | \(0.485217\pi\) | |||||||
\(678\) | −5.58347 | − | 7.00145i | −0.214432 | − | 0.268889i | ||||
\(679\) | −14.0292 | + | 6.75610i | −0.538391 | + | 0.259275i | ||||
\(680\) | −102.442 | + | 128.459i | −3.92848 | + | 4.92616i | ||||
\(681\) | −1.91314 | −0.0733116 | ||||||||
\(682\) | −8.54798 | −0.327319 | ||||||||
\(683\) | −11.1175 | + | 13.9409i | −0.425399 | + | 0.533433i | −0.947630 | − | 0.319371i | \(-0.896528\pi\) |
0.522231 | + | 0.852804i | \(0.325100\pi\) | |||||||
\(684\) | −1.64916 | − | 0.794196i | −0.0630574 | − | 0.0303668i | ||||
\(685\) | −5.04567 | − | 22.1065i | −0.192785 | − | 0.844647i | ||||
\(686\) | −11.0778 | + | 48.5350i | −0.422952 | + | 1.85308i | ||||
\(687\) | −24.7778 | −0.945333 | ||||||||
\(688\) | 97.5838 | + | 39.0570i | 3.72035 | + | 1.48904i | ||||
\(689\) | −15.6708 | −0.597009 | ||||||||
\(690\) | 12.9422 | − | 56.7035i | 0.492701 | − | 2.15867i | ||||
\(691\) | −5.64970 | − | 24.7530i | −0.214925 | − | 0.941647i | −0.961166 | − | 0.275971i | \(-0.911001\pi\) |
0.746241 | − | 0.665676i | \(-0.231857\pi\) | |||||||
\(692\) | 1.86062 | + | 0.896027i | 0.0707301 | + | 0.0340618i | ||||
\(693\) | −3.31198 | + | 4.15310i | −0.125812 | + | 0.157763i | ||||
\(694\) | −51.8764 | −1.96920 | ||||||||
\(695\) | −9.02565 | −0.342362 | ||||||||
\(696\) | −17.8822 | + | 22.4236i | −0.677823 | + | 0.849963i | ||||
\(697\) | −16.8551 | + | 8.11698i | −0.638432 | + | 0.307452i | ||||
\(698\) | 32.9654 | + | 41.3372i | 1.24776 | + | 1.56464i | ||||
\(699\) | −4.79513 | + | 2.30922i | −0.181369 | + | 0.0873425i | ||||
\(700\) | 6.30745 | − | 27.6347i | 0.238399 | − | 1.04449i | ||||
\(701\) | 13.9302 | − | 17.4679i | 0.526135 | − | 0.659753i | −0.445764 | − | 0.895151i | \(-0.647068\pi\) |
0.971899 | + | 0.235398i | \(0.0756393\pi\) | |||||||
\(702\) | 0.716111 | − | 3.13749i | 0.0270279 | − | 0.118417i | ||||
\(703\) | 0.463321 | + | 0.223124i | 0.0174745 | + | 0.00841528i | ||||
\(704\) | 43.0125 | + | 53.9359i | 1.62109 | + | 2.03279i | ||||
\(705\) | −3.76250 | − | 4.71802i | −0.141704 | − | 0.177691i | ||||
\(706\) | 6.00693 | + | 26.3181i | 0.226074 | + | 0.990493i | ||||
\(707\) | 25.6331 | + | 12.3443i | 0.964033 | + | 0.464254i | ||||
\(708\) | 16.0743 | − | 7.74099i | 0.604111 | − | 0.290924i | ||||
\(709\) | 3.46551 | + | 15.1834i | 0.130150 | + | 0.570224i | 0.997382 | + | 0.0723193i | \(0.0230401\pi\) |
−0.867232 | + | 0.497905i | \(0.834103\pi\) | |||||||
\(710\) | 14.6577 | + | 64.2194i | 0.550092 | + | 2.41011i | ||||
\(711\) | −5.06359 | + | 2.43850i | −0.189899 | + | 0.0914507i | ||||
\(712\) | 84.6245 | + | 40.7530i | 3.17144 | + | 1.52728i | ||||
\(713\) | 2.83247 | + | 12.4099i | 0.106077 | + | 0.464753i | ||||
\(714\) | −29.4747 | − | 36.9601i | −1.10306 | − | 1.38320i | ||||
\(715\) | 3.75101 | + | 4.70362i | 0.140280 | + | 0.175905i | ||||
\(716\) | −37.2524 | − | 17.9398i | −1.39219 | − | 0.670442i | ||||
\(717\) | 4.39944 | − | 19.2752i | 0.164300 | − | 0.719846i | ||||
\(718\) | −31.2328 | + | 39.1647i | −1.16560 | + | 1.46162i | ||||
\(719\) | −6.78073 | + | 29.7083i | −0.252878 | + | 1.10793i | 0.675811 | + | 0.737075i | \(0.263794\pi\) |
−0.928690 | + | 0.370858i | \(0.879064\pi\) | |||||||
\(720\) | 37.8687 | − | 18.2366i | 1.41128 | − | 0.679638i | ||||
\(721\) | 1.50902 | + | 1.89225i | 0.0561989 | + | 0.0704711i | ||||
\(722\) | 46.8815 | − | 22.5769i | 1.74475 | − | 0.840226i | ||||
\(723\) | 7.57212 | − | 9.49514i | 0.281610 | − | 0.353128i | ||||
\(724\) | −110.172 | −4.09452 | ||||||||
\(725\) | −5.44755 | −0.202317 | ||||||||
\(726\) | −12.2686 | + | 15.3843i | −0.455329 | + | 0.570965i | ||||
\(727\) | 1.30530 | + | 0.628600i | 0.0484109 | + | 0.0233135i | 0.457933 | − | 0.888987i | \(-0.348590\pi\) |
−0.409522 | + | 0.912300i | \(0.634304\pi\) | |||||||
\(728\) | −6.94660 | − | 30.4351i | −0.257458 | − | 1.12800i | ||||
\(729\) | −0.222521 | + | 0.974928i | −0.00824152 | + | 0.0361084i | ||||
\(730\) | 20.2107 | 0.748032 | ||||||||
\(731\) | 38.6259 | + | 15.4596i | 1.42863 | + | 0.571796i | ||||
\(732\) | 39.0788 | 1.44439 | ||||||||
\(733\) | 1.71450 | − | 7.51171i | 0.0633265 | − | 0.277451i | −0.933344 | − | 0.358982i | \(-0.883124\pi\) |
0.996671 | + | 0.0815310i | \(0.0259810\pi\) | |||||||
\(734\) | −10.7239 | − | 46.9843i | −0.395825 | − | 1.73422i | ||||
\(735\) | 0.752559 | + | 0.362413i | 0.0277585 | + | 0.0133678i | ||||
\(736\) | 122.496 | − | 153.605i | 4.51524 | − | 5.66194i | ||||
\(737\) | −17.5070 | −0.644878 | ||||||||
\(738\) | 8.12103 | 0.298939 | ||||||||
\(739\) | 2.21823 | − | 2.78157i | 0.0815989 | − | 0.102322i | −0.739356 | − | 0.673314i | \(-0.764870\pi\) |
0.820955 | + | 0.570993i | \(0.193442\pi\) | |||||||
\(740\) | −20.7087 | + | 9.97278i | −0.761267 | + | 0.366607i | ||||
\(741\) | −0.238733 | − | 0.299362i | −0.00877008 | − | 0.0109973i | ||||
\(742\) | 90.0330 | − | 43.3576i | 3.30522 | − | 1.59171i | ||||
\(743\) | −3.61892 | + | 15.8555i | −0.132765 | + | 0.581682i | 0.864153 | + | 0.503230i | \(0.167855\pi\) |
−0.996918 | + | 0.0784525i | \(0.975002\pi\) | |||||||
\(744\) | −9.73254 | + | 12.2042i | −0.356812 | + | 0.447428i | ||||
\(745\) | 6.59626 | − | 28.9001i | 0.241668 | − | 1.05882i | ||||
\(746\) | −25.8055 | − | 12.4273i | −0.944807 | − | 0.454995i | ||||
\(747\) | −4.38008 | − | 5.49245i | −0.160259 | − | 0.200958i | ||||
\(748\) | 43.3877 | + | 54.4064i | 1.58641 | + | 1.98929i | ||||
\(749\) | 0.000940986 | 0.00412273i | 3.43829e−5 | 0.000150641i | ||||||
\(750\) | −20.3286 | − | 9.78975i | −0.742297 | − | 0.357471i | ||||
\(751\) | −25.8259 | + | 12.4371i | −0.942400 | + | 0.453836i | −0.841015 | − | 0.541011i | \(-0.818042\pi\) |
−0.101385 | + | 0.994847i | \(0.532327\pi\) | |||||||
\(752\) | −8.20851 | − | 35.9638i | −0.299334 | − | 1.31147i | ||||
\(753\) | −2.42458 | − | 10.6228i | −0.0883565 | − | 0.387115i | ||||
\(754\) | −8.42038 | + | 4.05504i | −0.306652 | + | 0.147676i | ||||
\(755\) | −23.0129 | − | 11.0824i | −0.837527 | − | 0.403332i | ||||
\(756\) | 3.36252 | + | 14.7322i | 0.122294 | + | 0.535803i | ||||
\(757\) | 7.98098 | + | 10.0078i | 0.290074 | + | 0.363741i | 0.905421 | − | 0.424515i | \(-0.139556\pi\) |
−0.615347 | + | 0.788256i | \(0.710984\pi\) | |||||||
\(758\) | 22.1620 | + | 27.7902i | 0.804960 | + | 1.00939i | ||||
\(759\) | −14.2473 | − | 6.86114i | −0.517144 | − | 0.249044i | ||||
\(760\) | 1.88836 | − | 8.27344i | 0.0684980 | − | 0.300109i | ||||
\(761\) | −28.1582 | + | 35.3092i | −1.02073 | + | 1.27996i | −0.0612697 | + | 0.998121i | \(0.519515\pi\) |
−0.959462 | + | 0.281836i | \(0.909056\pi\) | |||||||
\(762\) | −6.51626 | + | 28.5496i | −0.236059 | + | 1.03424i | ||||
\(763\) | 41.0099 | − | 19.7493i | 1.48466 | − | 0.714974i | ||||
\(764\) | 83.0605 | + | 104.155i | 3.00502 | + | 3.76818i | ||||
\(765\) | 14.9893 | − | 7.21846i | 0.541938 | − | 0.260984i | ||||
\(766\) | −58.2396 | + | 73.0302i | −2.10428 | + | 2.63869i | ||||
\(767\) | 3.73209 | 0.134758 | ||||||||
\(768\) | 61.8626 | 2.23228 | ||||||||
\(769\) | −25.7841 | + | 32.3322i | −0.929798 | + | 1.16593i | 0.0560734 | + | 0.998427i | \(0.482142\pi\) |
−0.985872 | + | 0.167503i | \(0.946430\pi\) | |||||||
\(770\) | −34.5645 | − | 16.6454i | −1.24562 | − | 0.599857i | ||||
\(771\) | −1.91795 | − | 8.40310i | −0.0690734 | − | 0.302630i | ||||
\(772\) | 10.1968 | − | 44.6751i | 0.366991 | − | 1.60789i | ||||
\(773\) | −50.5104 | −1.81673 | −0.908366 | − | 0.418175i | \(-0.862670\pi\) | ||||
−0.908366 | + | 0.418175i | \(0.862670\pi\) | |||||||
\(774\) | −12.1952 | − | 13.3216i | −0.438347 | − | 0.478834i | ||||
\(775\) | −2.96488 | −0.106502 | ||||||||
\(776\) | 12.6491 | − | 55.4194i | 0.454077 | − | 1.98944i | ||||
\(777\) | −0.944676 | − | 4.13890i | −0.0338901 | − | 0.148482i | ||||
\(778\) | 78.3537 | + | 37.7332i | 2.80912 | + | 1.35280i | ||||
\(779\) | 0.602441 | − | 0.755437i | 0.0215847 | − | 0.0270663i | ||||
\(780\) | 17.1141 | 0.612782 | ||||||||
\(781\) | 17.9093 | 0.640846 | ||||||||
\(782\) | 87.7433 | − | 110.027i | 3.13769 | − | 3.93454i | ||||
\(783\) | 2.61651 | − | 1.26004i | 0.0935064 | − | 0.0450303i | ||||
\(784\) | 3.18351 | + | 3.99200i | 0.113697 | + | 0.142571i | ||||
\(785\) | −48.4975 | + | 23.3552i | −1.73095 | + | 0.833582i | ||||
\(786\) | 11.3521 | − | 49.7368i | 0.404916 | − | 1.77405i | ||||
\(787\) | −21.1664 | + | 26.5419i | −0.754502 | + | 0.946116i | −0.999727 | − | 0.0233501i | \(-0.992567\pi\) |
0.245225 | + | 0.969466i | \(0.421138\pi\) | |||||||
\(788\) | 10.0811 | − | 44.1684i | 0.359126 | − | 1.57343i | ||||
\(789\) | 18.6988 | + | 9.00489i | 0.665696 | + | 0.320582i | ||||
\(790\) | −25.3069 | − | 31.7339i | −0.900379 | − | 1.12904i | ||||
\(791\) | 5.48425 | + | 6.87703i | 0.194998 | + | 0.244519i | ||||
\(792\) | −4.31515 | − | 18.9059i | −0.153332 | − | 0.671793i | ||||
\(793\) | 7.36512 | + | 3.54686i | 0.261543 | + | 0.125953i | ||||
\(794\) | −49.9959 | + | 24.0767i | −1.77429 | + | 0.854451i | ||||
\(795\) | 7.82552 | + | 34.2858i | 0.277543 | + | 1.21599i | ||||
\(796\) | −12.9798 | − | 56.8683i | −0.460058 | − | 2.01564i | ||||
\(797\) | 21.2416 | − | 10.2294i | 0.752418 | − | 0.362345i | −0.0180394 | − | 0.999837i | \(-0.505742\pi\) |
0.770457 | + | 0.637492i | \(0.220028\pi\) | |||||||
\(798\) | 2.19986 | + | 1.05939i | 0.0778740 | + | 0.0375022i | ||||
\(799\) | −3.24911 | − | 14.2353i | −0.114945 | − | 0.503608i | ||||
\(800\) | 28.5321 | + | 35.7781i | 1.00876 | + | 1.26495i | ||||
\(801\) | −5.92976 | − | 7.43568i | −0.209518 | − | 0.262727i | ||||
\(802\) | −29.6021 | − | 14.2556i | −1.04529 | − | 0.503383i | ||||
\(803\) | 1.22275 | − | 5.35722i | 0.0431499 | − | 0.189052i | ||||
\(804\) | −31.0510 | + | 38.9367i | −1.09508 | + | 1.37319i | ||||
\(805\) | −12.7122 | + | 55.6959i | −0.448047 | + | 1.96302i | ||||
\(806\) | −4.58287 | + | 2.20699i | −0.161425 | + | 0.0777380i | ||||
\(807\) | −15.0935 | − | 18.9267i | −0.531318 | − | 0.666251i | ||||
\(808\) | −93.5768 | + | 45.0642i | −3.29202 | + | 1.58535i | ||||
\(809\) | 25.2999 | − | 31.7251i | 0.889498 | − | 1.11540i | −0.103187 | − | 0.994662i | \(-0.532904\pi\) |
0.992685 | − | 0.120733i | \(-0.0385246\pi\) | |||||||
\(810\) | −7.22206 | −0.253757 | ||||||||
\(811\) | −30.9361 | −1.08631 | −0.543157 | − | 0.839631i | \(-0.682771\pi\) | ||||
−0.543157 | + | 0.839631i | \(0.682771\pi\) | |||||||
\(812\) | 27.3612 | − | 34.3099i | 0.960190 | − | 1.20404i | ||||
\(813\) | 14.9876 | + | 7.21766i | 0.525639 | + | 0.253135i | ||||
\(814\) | 1.88850 | + | 8.27405i | 0.0661918 | + | 0.290005i | ||||
\(815\) | −0.0455269 | + | 0.199467i | −0.00159474 | + | 0.00698701i | ||||
\(816\) | 101.699 | 3.56018 | ||||||||
\(817\) | −2.14388 | + | 0.146191i | −0.0750047 | + | 0.00511459i | ||||
\(818\) | −25.4807 | −0.890912 | ||||||||
\(819\) | −0.703386 | + | 3.08173i | −0.0245783 | + | 0.107684i | ||||
\(820\) | 9.61006 | + | 42.1044i | 0.335598 | + | 1.47035i | ||||
\(821\) | −42.0171 | − | 20.2344i | −1.46641 | − | 0.706184i | −0.481050 | − | 0.876693i | \(-0.659744\pi\) |
−0.985356 | + | 0.170509i | \(0.945459\pi\) | |||||||
\(822\) | −14.8496 | + | 18.6208i | −0.517939 | + | 0.649475i | ||||
\(823\) | 25.6049 | 0.892529 | 0.446265 | − | 0.894901i | \(-0.352754\pi\) | ||||
0.446265 | + | 0.894901i | \(0.352754\pi\) | |||||||
\(824\) | −8.83552 | −0.307800 | ||||||||
\(825\) | 2.29649 | − | 2.87971i | 0.0799536 | − | 0.100259i | ||||
\(826\) | −21.4419 | + | 10.3259i | −0.746059 | + | 0.359283i | ||||
\(827\) | −22.5154 | − | 28.2334i | −0.782938 | − | 0.981773i | −0.999984 | − | 0.00561187i | \(-0.998214\pi\) |
0.217046 | − | 0.976161i | \(-0.430358\pi\) | |||||||
\(828\) | −40.5291 | + | 19.5178i | −1.40849 | + | 0.678291i | ||||
\(829\) | 2.51238 | − | 11.0075i | 0.0872586 | − | 0.382305i | −0.912375 | − | 0.409354i | \(-0.865754\pi\) |
0.999634 | + | 0.0270493i | \(0.00861111\pi\) | |||||||
\(830\) | 31.6332 | − | 39.6668i | 1.09800 | − | 1.37685i | ||||
\(831\) | 1.88746 | − | 8.26949i | 0.0654752 | − | 0.286866i | ||||
\(832\) | 36.9861 | + | 17.8116i | 1.28226 | + | 0.617505i | ||||
\(833\) | 1.26011 | + | 1.58012i | 0.0436601 | + | 0.0547480i | ||||
\(834\) | 5.91078 | + | 7.41189i | 0.204674 | + | 0.256653i | ||||
\(835\) | −5.78298 | − | 25.3369i | −0.200128 | − | 0.876819i | ||||
\(836\) | −3.23825 | − | 1.55946i | −0.111997 | − | 0.0539350i | ||||
\(837\) | 1.42406 | − | 0.685790i | 0.0492226 | − | 0.0237044i | ||||
\(838\) | −0.326844 | − | 1.43200i | −0.0112906 | − | 0.0494675i | ||||
\(839\) | −6.08904 | − | 26.6778i | −0.210217 | − | 0.921021i | −0.964419 | − | 0.264378i | \(-0.914833\pi\) |
0.754202 | − | 0.656642i | \(-0.228024\pi\) | |||||||
\(840\) | −63.1194 | + | 30.3967i | −2.17783 | + | 1.04879i | ||||
\(841\) | 18.5295 | + | 8.92333i | 0.638948 | + | 0.307701i | ||||
\(842\) | −4.68209 | − | 20.5136i | −0.161356 | − | 0.706945i | ||||
\(843\) | −8.35566 | − | 10.4777i | −0.287784 | − | 0.360870i | ||||
\(844\) | −30.1396 | − | 37.7939i | −1.03745 | − | 1.30092i | ||||
\(845\) | −27.4870 | − | 13.2371i | −0.945583 | − | 0.455369i | ||||
\(846\) | −1.41044 | + | 6.17954i | −0.0484920 | + | 0.212457i | ||||
\(847\) | 12.0505 | − | 15.1109i | 0.414062 | − | 0.519217i | ||||
\(848\) | −47.8366 | + | 209.586i | −1.64271 | + | 7.19720i | ||||
\(849\) | −30.2018 | + | 14.5444i | −1.03652 | + | 0.499163i | ||||
\(850\) | 20.4374 | + | 25.6277i | 0.700999 | + | 0.879025i | ||||
\(851\) | 11.3864 | − | 5.48339i | 0.390320 | − | 0.187968i | ||||
\(852\) | 31.7646 | − | 39.8316i | 1.08824 | − | 1.36461i | ||||
\(853\) | 10.1228 | 0.346599 | 0.173299 | − | 0.984869i | \(-0.444557\pi\) | ||||
0.173299 | + | 0.984869i | \(0.444557\pi\) | |||||||
\(854\) | −52.1280 | −1.78378 | ||||||||
\(855\) | −0.535752 | + | 0.671812i | −0.0183223 | + | 0.0229755i | ||||
\(856\) | −0.0139088 | − | 0.00669811i | −0.000475392 | − | 0.000228937i | ||||
\(857\) | 10.4719 | + | 45.8804i | 0.357713 | + | 1.56724i | 0.758875 | + | 0.651236i | \(0.225749\pi\) |
−0.401162 | + | 0.916007i | \(0.631393\pi\) | |||||||
\(858\) | 1.40613 | − | 6.16068i | 0.0480046 | − | 0.210322i | ||||
\(859\) | 50.1784 | 1.71206 | 0.856032 | − | 0.516922i | \(-0.172922\pi\) | ||||
0.856032 | + | 0.516922i | \(0.172922\pi\) | |||||||
\(860\) | 54.6361 | − | 78.9915i | 1.86307 | − | 2.69359i | ||||
\(861\) | −7.97672 | −0.271846 | ||||||||
\(862\) | 7.79762 | − | 34.1636i | 0.265588 | − | 1.16362i | ||||
\(863\) | −6.86846 | − | 30.0927i | −0.233805 | − | 1.02437i | −0.946452 | − | 0.322844i | \(-0.895361\pi\) |
0.712647 | − | 0.701522i | \(-0.247496\pi\) | |||||||
\(864\) | −21.9798 | − | 10.5849i | −0.747769 | − | 0.360107i | ||||
\(865\) | 0.604446 | − | 0.757952i | 0.0205518 | − | 0.0257711i | ||||
\(866\) | 92.9578 | 3.15883 | ||||||||
\(867\) | 23.2548 | 0.789775 | ||||||||
\(868\) | 14.8916 | − | 18.6735i | 0.505453 | − | 0.633818i | ||||
\(869\) | −9.94271 | + | 4.78816i | −0.337283 | + | 0.162427i | ||||
\(870\) | 13.0768 | + | 16.3978i | 0.443346 | + | 0.555939i | ||||
\(871\) | −9.38610 | + | 4.52011i | −0.318036 | + | 0.153158i | ||||
\(872\) | −36.9757 | + | 162.001i | −1.25216 | + | 5.48606i | ||||
\(873\) | −3.58872 | + | 4.50012i | −0.121460 | + | 0.152306i | ||||
\(874\) | −1.61741 | + | 7.08632i | −0.0547096 | + | 0.239698i | ||||
\(875\) | 19.9674 | + | 9.61579i | 0.675021 | + | 0.325073i | ||||
\(876\) | −9.74611 | − | 12.2212i | −0.329290 | − | 0.412917i | ||||
\(877\) | 32.0726 | + | 40.2177i | 1.08301 | + | 1.35806i | 0.929039 | + | 0.369982i | \(0.120636\pi\) |
0.153975 | + | 0.988075i | \(0.450792\pi\) | |||||||
\(878\) | 12.6897 | + | 55.5970i | 0.428255 | + | 1.87631i | ||||
\(879\) | −15.2976 | − | 7.36695i | −0.515976 | − | 0.248481i | ||||
\(880\) | 74.3579 | − | 35.8089i | 2.50660 | − | 1.20712i | ||||
\(881\) | 2.03639 | + | 8.92203i | 0.0686079 | + | 0.300591i | 0.997577 | − | 0.0695655i | \(-0.0221613\pi\) |
−0.928970 | + | 0.370156i | \(0.879304\pi\) | |||||||
\(882\) | −0.195226 | − | 0.855343i | −0.00657362 | − | 0.0288009i | ||||
\(883\) | −0.177925 | + | 0.0856842i | −0.00598766 | + | 0.00288350i | −0.436875 | − | 0.899522i | \(-0.643915\pi\) |
0.430888 | + | 0.902406i | \(0.358201\pi\) | |||||||
\(884\) | 37.3087 | + | 17.9669i | 1.25483 | + | 0.604293i | ||||
\(885\) | −1.86370 | − | 8.16538i | −0.0626474 | − | 0.274476i | ||||
\(886\) | −2.31351 | − | 2.90105i | −0.0777240 | − | 0.0974628i | ||||
\(887\) | −12.2287 | − | 15.3343i | −0.410599 | − | 0.514875i | 0.532932 | − | 0.846158i | \(-0.321090\pi\) |
−0.943532 | + | 0.331283i | \(0.892519\pi\) | |||||||
\(888\) | 13.9633 | + | 6.72438i | 0.468578 | + | 0.225655i | ||||
\(889\) | 6.40047 | − | 28.0423i | 0.214665 | − | 0.940508i | ||||
\(890\) | 42.8251 | − | 53.7009i | 1.43550 | − | 1.80006i | ||||
\(891\) | −0.436936 | + | 1.91434i | −0.0146379 | + | 0.0641328i | ||||
\(892\) | 17.1040 | − | 8.23684i | 0.572683 | − | 0.275790i | ||||
\(893\) | 0.470205 | + | 0.589618i | 0.0157348 | + | 0.0197308i | ||||
\(894\) | −28.0527 | + | 13.5094i | −0.938221 | + | 0.451823i | ||||
\(895\) | −12.1019 | + | 15.1753i | −0.404523 | + | 0.507255i | ||||
\(896\) | −129.781 | −4.33568 | ||||||||
\(897\) | −9.40993 | −0.314189 | ||||||||
\(898\) | 20.0051 | − | 25.0855i | 0.667577 | − | 0.837116i | ||||
\(899\) | −4.13561 | − | 1.99161i | −0.137930 | − | 0.0664238i | ||||
\(900\) | −2.33153 | − | 10.2151i | −0.0777177 | − | 0.340504i | ||||
\(901\) | −18.9348 | + | 82.9587i | −0.630809 | + | 2.76375i | ||||
\(902\) | 15.9462 | 0.530951 | ||||||||
\(903\) | 11.9785 | + | 13.0849i | 0.398619 | + | 0.435437i | ||||
\(904\) | −32.1111 | −1.06800 | ||||||||
\(905\) | −11.5086 | + | 50.4226i | −0.382560 | + | 1.67611i | ||||
\(906\) | 5.96995 | + | 26.1560i | 0.198338 | + | 0.868976i | ||||
\(907\) | −36.1111 | − | 17.3902i | −1.19905 | − | 0.577432i | −0.275645 | − | 0.961260i | \(-0.588891\pi\) |
−0.923405 | + | 0.383828i | \(0.874606\pi\) | |||||||
\(908\) | −6.66280 | + | 8.35489i | −0.221113 | + | 0.277267i | ||||
\(909\) | 10.5167 | 0.348817 | ||||||||
\(910\) | −22.8288 | −0.756769 | ||||||||
\(911\) | 4.33344 | − | 5.43396i | 0.143573 | − | 0.180035i | −0.704845 | − | 0.709361i | \(-0.748984\pi\) |
0.848419 | + | 0.529326i | \(0.177555\pi\) | |||||||
\(912\) | −4.73251 | + | 2.27906i | −0.156709 | + | 0.0754671i | ||||
\(913\) | −8.60060 | − | 10.7848i | −0.284638 | − | 0.356925i | ||||
\(914\) | 88.6325 | − | 42.6832i | 2.93170 | − | 1.41183i | ||||
\(915\) | 4.08219 | − | 17.8852i | 0.134953 | − | 0.591267i | ||||
\(916\) | −86.2927 | + | 108.208i | −2.85119 | + | 3.57528i | ||||
\(917\) | −11.1504 | + | 48.8530i | −0.368218 | + | 1.61327i | ||||
\(918\) | −15.7441 | − | 7.58196i | −0.519633 | − | 0.250242i | ||||
\(919\) | 8.18704 | + | 10.2662i | 0.270065 | + | 0.338651i | 0.898308 | − | 0.439366i | \(-0.144797\pi\) |
−0.628243 | + | 0.778017i | \(0.716225\pi\) | |||||||
\(920\) | −130.031 | − | 163.054i | −4.28699 | − | 5.37572i | ||||
\(921\) | 7.23104 | + | 31.6813i | 0.238271 | + | 1.04393i | ||||
\(922\) | −43.3260 | − | 20.8647i | −1.42687 | − | 0.687142i | ||||
\(923\) | 9.60180 | − | 4.62399i | 0.316047 | − | 0.152200i | ||||
\(924\) | 6.60254 | + | 28.9276i | 0.217208 | + | 0.951649i | ||||
\(925\) | 0.655028 | + | 2.86986i | 0.0215372 | + | 0.0943606i | ||||
\(926\) | −84.9770 | + | 40.9228i | −2.79252 | + | 1.34481i | ||||
\(927\) | 0.806052 | + | 0.388174i | 0.0264742 | + | 0.0127493i | ||||
\(928\) | 15.7651 | + | 69.0716i | 0.517516 | + | 2.26739i | ||||
\(929\) | 12.9960 | + | 16.2965i | 0.426386 | + | 0.534671i | 0.947898 | − | 0.318573i | \(-0.103204\pi\) |
−0.521513 | + | 0.853244i | \(0.674632\pi\) | |||||||
\(930\) | 7.11719 | + | 8.92467i | 0.233382 | + | 0.292651i | ||||
\(931\) | −0.0940484 | − | 0.0452913i | −0.00308231 | − | 0.00148436i | ||||
\(932\) | −6.61520 | + | 28.9831i | −0.216688 | + | 0.949373i | ||||
\(933\) | −4.98104 | + | 6.24602i | −0.163072 | + | 0.204486i | ||||
\(934\) | 11.0152 | − | 48.2608i | 0.360429 | − | 1.57914i | ||||
\(935\) | 29.4325 | − | 14.1739i | 0.962546 | − | 0.463538i | ||||
\(936\) | −7.19480 | − | 9.02199i | −0.235169 | − | 0.294893i | ||||
\(937\) | −32.2732 | + | 15.5419i | −1.05432 | + | 0.507733i | −0.879021 | − | 0.476783i | \(-0.841803\pi\) |
−0.175297 | + | 0.984516i | \(0.556089\pi\) | |||||||
\(938\) | 41.4196 | − | 51.9385i | 1.35240 | − | 1.69585i | ||||
\(939\) | −5.15154 | −0.168114 | ||||||||
\(940\) | −33.7076 | −1.09942 | ||||||||
\(941\) | 35.8746 | − | 44.9853i | 1.16948 | − | 1.46648i | 0.313411 | − | 0.949618i | \(-0.398528\pi\) |
0.856068 | − | 0.516863i | \(-0.172900\pi\) | |||||||
\(942\) | 50.9397 | + | 24.5313i | 1.65971 | + | 0.799272i | ||||
\(943\) | −5.28396 | − | 23.1505i | −0.172069 | − | 0.753885i | ||||
\(944\) | 11.3926 | − | 49.9141i | 0.370796 | − | 1.62457i | ||||
\(945\) | 7.09372 | 0.230759 | ||||||||
\(946\) | −23.9461 | − | 26.1579i | −0.778555 | − | 0.850466i | ||||
\(947\) | 48.8468 | 1.58731 | 0.793653 | − | 0.608371i | \(-0.208177\pi\) | ||||
0.793653 | + | 0.608371i | \(0.208177\pi\) | |||||||
\(948\) | −6.98555 | + | 30.6057i | −0.226880 | + | 0.994027i | ||||
\(949\) | −0.727615 | − | 3.18789i | −0.0236194 | − | 0.103483i | ||||
\(950\) | −1.52536 | − | 0.734572i | −0.0494891 | − | 0.0238327i | ||||
\(951\) | 0.196425 | − | 0.246310i | 0.00636953 | − | 0.00798714i | ||||
\(952\) | −169.512 | −5.49391 | ||||||||
\(953\) | −34.2653 | −1.10996 | −0.554982 | − | 0.831863i | \(-0.687275\pi\) | ||||
−0.554982 | + | 0.831863i | \(0.687275\pi\) | |||||||
\(954\) | 23.0308 | − | 28.8797i | 0.745649 | − | 0.935015i | ||||
\(955\) | 56.3450 | − | 27.1343i | 1.82328 | − | 0.878047i | ||||
\(956\) | −68.8553 | − | 86.3418i | −2.22694 | − | 2.79249i | ||||
\(957\) | 5.13770 | − | 2.47419i | 0.166078 | − | 0.0799791i | ||||
\(958\) | 24.1194 | − | 105.674i | 0.779264 | − | 3.41418i | ||||
\(959\) | 14.5857 | − | 18.2899i | 0.470997 | − | 0.590612i | ||||
\(960\) | 20.4999 | − | 89.8158i | 0.661630 | − | 2.89879i | ||||
\(961\) | 25.6792 | + | 12.3664i | 0.828361 | + | 0.398918i | ||||
\(962\) | 3.14875 | + | 3.94841i | 0.101520 | + | 0.127302i | ||||
\(963\) | 0.000974606 | 0.00122212i | 3.14062e−5 | 3.93822e-5i | ||||||
\(964\) | −15.0952 | − | 66.1366i | −0.486185 | − | 2.13012i | ||||
\(965\) | −19.3813 | − | 9.33356i | −0.623907 | − | 0.300458i | ||||
\(966\) | 54.0627 | − | 26.0352i | 1.73944 | − | 0.837669i | ||||
\(967\) | −7.83475 | − | 34.3263i | −0.251949 | − | 1.10386i | −0.929627 | − | 0.368501i | \(-0.879871\pi\) |
0.677679 | − | 0.735358i | \(-0.262986\pi\) | |||||||
\(968\) | 15.7006 | + | 68.7886i | 0.504635 | + | 2.21095i | ||||
\(969\) | −1.87323 | + | 0.902101i | −0.0601769 | + | 0.0289797i | ||||
\(970\) | −37.4526 | − | 18.0362i | −1.20253 | − | 0.579108i | ||||
\(971\) | 2.12978 | + | 9.33118i | 0.0683479 | + | 0.299452i | 0.997536 | − | 0.0701552i | \(-0.0223495\pi\) |
−0.929188 | + | 0.369607i | \(0.879492\pi\) | |||||||
\(972\) | 3.48266 | + | 4.36711i | 0.111706 | + | 0.140075i | ||||
\(973\) | −5.80575 | − | 7.28018i | −0.186124 | − | 0.233392i | ||||
\(974\) | 68.9252 | + | 33.1926i | 2.20851 | + | 1.06356i | ||||
\(975\) | 0.487720 | − | 2.13684i | 0.0156195 | − | 0.0684336i | ||||
\(976\) | 69.9194 | − | 87.6762i | 2.23807 | − | 2.80645i | ||||
\(977\) | 9.87259 | − | 43.2546i | 0.315852 | − | 1.38384i | −0.528902 | − | 0.848683i | \(-0.677396\pi\) |
0.844754 | − | 0.535155i | \(-0.179747\pi\) | |||||||
\(978\) | 0.193618 | − | 0.0932413i | 0.00619121 | − | 0.00298153i | ||||
\(979\) | −11.6435 | − | 14.6005i | −0.372128 | − | 0.466633i | ||||
\(980\) | 4.20360 | − | 2.02435i | 0.134279 | − | 0.0646654i | ||||
\(981\) | 10.4905 | − | 13.1547i | 0.334936 | − | 0.419997i | ||||
\(982\) | 81.3348 | 2.59550 | ||||||||
\(983\) | 50.6590 | 1.61577 | 0.807886 | − | 0.589338i | \(-0.200612\pi\) | ||||
0.807886 | + | 0.589338i | \(0.200612\pi\) | |||||||
\(984\) | 18.1560 | − | 22.7669i | 0.578792 | − | 0.725783i | ||||
\(985\) | −19.1615 | − | 9.22770i | −0.610536 | − | 0.294019i | ||||
\(986\) | 11.2925 | + | 49.4758i | 0.359628 | + | 1.57563i | ||||
\(987\) | 1.38538 | − | 6.06973i | 0.0440970 | − | 0.193202i | ||||
\(988\) | −2.13877 | −0.0680434 | ||||||||
\(989\) | −30.0409 | + | 43.4324i | −0.955244 | + | 1.38107i | ||||
\(990\) | −14.1810 | −0.450703 | ||||||||
\(991\) | −1.31065 | + | 5.74234i | −0.0416342 | + | 0.182412i | −0.991469 | − | 0.130339i | \(-0.958393\pi\) |
0.949835 | + | 0.312751i | \(0.101250\pi\) | |||||||
\(992\) | 8.58032 | + | 37.5928i | 0.272425 | + | 1.19357i | ||||
\(993\) | 19.5365 | + | 9.40829i | 0.619972 | + | 0.298563i | ||||
\(994\) | −42.3715 | + | 53.1322i | −1.34394 | + | 1.68525i | ||||
\(995\) | −27.3828 | −0.868095 | ||||||||
\(996\) | −39.2405 | −1.24338 | ||||||||
\(997\) | 16.7665 | − | 21.0245i | 0.531000 | − | 0.665853i | −0.441904 | − | 0.897062i | \(-0.645697\pi\) |
0.972904 | + | 0.231209i | \(0.0742682\pi\) | |||||||
\(998\) | −70.8330 | + | 34.1114i | −2.24218 | + | 1.07978i | ||||
\(999\) | −0.978429 | − | 1.22691i | −0.0309561 | − | 0.0388177i |
(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 | 129.2.i.c.121.1 | yes | 30 | |
3.2 | odd | 2 | 387.2.u.e.379.5 | 30 | |||
43.4 | even | 7 | 5547.2.a.u.1.15 | 15 | |||
43.16 | even | 7 | inner | 129.2.i.c.16.1 | ✓ | 30 | |
43.39 | odd | 14 | 5547.2.a.v.1.1 | 15 | |||
129.59 | odd | 14 | 387.2.u.e.145.5 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
129.2.i.c.16.1 | ✓ | 30 | 43.16 | even | 7 | inner | |
129.2.i.c.121.1 | yes | 30 | 1.1 | even | 1 | trivial | |
387.2.u.e.145.5 | 30 | 129.59 | odd | 14 | |||
387.2.u.e.379.5 | 30 | 3.2 | odd | 2 | |||
5547.2.a.u.1.15 | 15 | 43.4 | even | 7 | |||
5547.2.a.v.1.1 | 15 | 43.39 | odd | 14 |