Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.11 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.a.173.11 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36603 | − | 0.366025i | −0.683013 | − | 0.183013i | ||||
\(3\) | 1.05588 | + | 2.80804i | 0.351961 | + | 0.936015i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −1.47500 | + | 4.77749i | −0.295000 | + | 0.955497i | ||||
\(6\) | −0.414547 | − | 4.22234i | −0.0690912 | − | 0.703723i | ||||
\(7\) | 6.99874 | + | 0.132847i | 0.999820 | + | 0.0189781i | ||||
\(8\) | −2.00000 | − | 2.00000i | −0.250000 | − | 0.250000i | ||||
\(9\) | −6.77022 | + | 5.92993i | −0.752247 | + | 0.658881i | ||||
\(10\) | 3.76357 | − | 5.98628i | 0.376357 | − | 0.598628i | ||||
\(11\) | 9.30088 | + | 5.36987i | 0.845535 | + | 0.488170i | 0.859142 | − | 0.511738i | \(-0.170998\pi\) |
−0.0136071 | + | 0.999907i | \(0.504331\pi\) | |||||||
\(12\) | −0.979202 | + | 5.91956i | −0.0816001 | + | 0.493296i | ||||
\(13\) | −3.28522 | − | 3.28522i | −0.252709 | − | 0.252709i | 0.569371 | − | 0.822081i | \(-0.307187\pi\) |
−0.822081 | + | 0.569371i | \(0.807187\pi\) | |||||||
\(14\) | −9.51183 | − | 2.74319i | −0.679416 | − | 0.195942i | ||||
\(15\) | −14.9728 | + | 0.902596i | −0.998188 | + | 0.0601731i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −16.0246 | + | 4.29378i | −0.942624 | + | 0.252575i | −0.697229 | − | 0.716848i | \(-0.745584\pi\) |
−0.245394 | + | 0.969423i | \(0.578917\pi\) | |||||||
\(18\) | 11.4188 | − | 5.62236i | 0.634378 | − | 0.312353i | ||||
\(19\) | −1.04608 | − | 1.81186i | −0.0550568 | − | 0.0953611i | 0.837183 | − | 0.546922i | \(-0.184201\pi\) |
−0.892240 | + | 0.451561i | \(0.850867\pi\) | |||||||
\(20\) | −7.33226 | + | 6.79985i | −0.366613 | + | 0.339992i | ||||
\(21\) | 7.01681 | + | 19.7930i | 0.334134 | + | 0.942526i | ||||
\(22\) | −10.7397 | − | 10.7397i | −0.488170 | − | 0.488170i | ||||
\(23\) | −3.40405 | + | 12.7041i | −0.148002 | + | 0.552351i | 0.851601 | + | 0.524190i | \(0.175632\pi\) |
−0.999603 | + | 0.0281612i | \(0.991035\pi\) | |||||||
\(24\) | 3.50432 | − | 7.72785i | 0.146013 | − | 0.321994i | ||||
\(25\) | −20.6487 | − | 14.0936i | −0.825950 | − | 0.563744i | ||||
\(26\) | 3.28522 | + | 5.69017i | 0.126355 | + | 0.218853i | ||||
\(27\) | −23.8001 | − | 12.7498i | −0.881484 | − | 0.472214i | ||||
\(28\) | 11.9893 | + | 7.22884i | 0.428190 | + | 0.258173i | ||||
\(29\) | −21.8689 | −0.754099 | −0.377049 | − | 0.926193i | \(-0.623061\pi\) | ||||
−0.377049 | + | 0.926193i | \(0.623061\pi\) | |||||||
\(30\) | 20.7836 | + | 4.24746i | 0.692787 | + | 0.141582i | ||||
\(31\) | 40.3894 | + | 23.3188i | 1.30288 | + | 0.752221i | 0.980898 | − | 0.194523i | \(-0.0623160\pi\) |
0.321987 | + | 0.946744i | \(0.395649\pi\) | |||||||
\(32\) | −1.46410 | − | 5.46410i | −0.0457532 | − | 0.170753i | ||||
\(33\) | −5.25818 | + | 31.7872i | −0.159339 | + | 0.963249i | ||||
\(34\) | 23.4616 | 0.690048 | ||||||||
\(35\) | −10.9578 | + | 33.2404i | −0.313081 | + | 0.949727i | ||||
\(36\) | −17.6563 | + | 3.50072i | −0.490453 | + | 0.0972421i | ||||
\(37\) | −10.9244 | + | 40.7704i | −0.295254 | + | 1.10190i | 0.645762 | + | 0.763539i | \(0.276540\pi\) |
−0.941016 | + | 0.338363i | \(0.890127\pi\) | |||||||
\(38\) | 0.765783 | + | 2.85794i | 0.0201522 | + | 0.0752089i | ||||
\(39\) | 5.75624 | − | 12.6939i | 0.147596 | − | 0.325484i | ||||
\(40\) | 12.5050 | − | 6.60497i | 0.312624 | − | 0.165124i | ||||
\(41\) | 41.7957 | 1.01941 | 0.509703 | − | 0.860350i | \(-0.329755\pi\) | ||||
0.509703 | + | 0.860350i | \(0.329755\pi\) | |||||||
\(42\) | −2.34038 | − | 29.6061i | −0.0557234 | − | 0.704908i | ||||
\(43\) | −32.4714 | + | 32.4714i | −0.755148 | + | 0.755148i | −0.975435 | − | 0.220287i | \(-0.929301\pi\) |
0.220287 | + | 0.975435i | \(0.429301\pi\) | |||||||
\(44\) | 10.7397 | + | 18.6018i | 0.244085 | + | 0.422767i | ||||
\(45\) | −18.3441 | − | 41.0913i | −0.407646 | − | 0.913140i | ||||
\(46\) | 9.30003 | − | 16.1081i | 0.202175 | − | 0.350177i | ||||
\(47\) | 18.0449 | − | 67.3444i | 0.383934 | − | 1.43286i | −0.455907 | − | 0.890028i | \(-0.650685\pi\) |
0.839841 | − | 0.542833i | \(-0.182648\pi\) | |||||||
\(48\) | −7.61558 | + | 9.27377i | −0.158658 | + | 0.193204i | ||||
\(49\) | 48.9647 | + | 1.85952i | 0.999280 | + | 0.0379493i | ||||
\(50\) | 23.0481 | + | 26.8102i | 0.460962 | + | 0.536203i | ||||
\(51\) | −28.9772 | − | 40.4641i | −0.568181 | − | 0.793413i | ||||
\(52\) | −2.40495 | − | 8.97539i | −0.0462490 | − | 0.172604i | ||||
\(53\) | −31.2227 | + | 8.36609i | −0.589107 | + | 0.157851i | −0.541045 | − | 0.840994i | \(-0.681971\pi\) |
−0.0480619 | + | 0.998844i | \(0.515304\pi\) | |||||||
\(54\) | 27.8448 | + | 26.1279i | 0.515644 | + | 0.483851i | ||||
\(55\) | −39.3733 | + | 36.5143i | −0.715878 | + | 0.663896i | ||||
\(56\) | −13.7318 | − | 14.2632i | −0.245210 | − | 0.254699i | ||||
\(57\) | 3.98325 | − | 4.85055i | 0.0698816 | − | 0.0850973i | ||||
\(58\) | 29.8734 | + | 8.00456i | 0.515059 | + | 0.138010i | ||||
\(59\) | −8.21615 | − | 4.74360i | −0.139257 | − | 0.0804000i | 0.428753 | − | 0.903422i | \(-0.358953\pi\) |
−0.568010 | + | 0.823022i | \(0.692286\pi\) | |||||||
\(60\) | −26.8363 | − | 13.4095i | −0.447271 | − | 0.223491i | ||||
\(61\) | 100.996 | − | 58.3099i | 1.65567 | − | 0.955901i | 0.680989 | − | 0.732294i | \(-0.261550\pi\) |
0.974679 | − | 0.223607i | \(-0.0717832\pi\) | |||||||
\(62\) | −46.6377 | − | 46.6377i | −0.752221 | − | 0.752221i | ||||
\(63\) | −48.1708 | + | 40.6026i | −0.764616 | + | 0.644486i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | 20.5408 | − | 10.8494i | 0.316012 | − | 0.166914i | ||||
\(66\) | 18.8177 | − | 41.4975i | 0.285117 | − | 0.628751i | ||||
\(67\) | −2.25609 | + | 0.604518i | −0.0336730 | + | 0.00902266i | −0.275616 | − | 0.961268i | \(-0.588882\pi\) |
0.241943 | + | 0.970290i | \(0.422215\pi\) | |||||||
\(68\) | −32.0492 | − | 8.58756i | −0.471312 | − | 0.126288i | ||||
\(69\) | −39.2679 | + | 3.85530i | −0.569100 | + | 0.0558739i | ||||
\(70\) | 27.1355 | − | 41.3964i | 0.387650 | − | 0.591378i | ||||
\(71\) | − | 82.6653i | − | 1.16430i | −0.813082 | − | 0.582150i | \(-0.802212\pi\) | ||
0.813082 | − | 0.582150i | \(-0.197788\pi\) | |||||||
\(72\) | 25.4003 | + | 1.68059i | 0.352782 | + | 0.0233415i | ||||
\(73\) | 89.0639 | − | 23.8646i | 1.22005 | − | 0.326912i | 0.409355 | − | 0.912375i | \(-0.365754\pi\) |
0.810699 | + | 0.585463i | \(0.199087\pi\) | |||||||
\(74\) | 29.8460 | − | 51.6948i | 0.403324 | − | 0.698578i | ||||
\(75\) | 17.7728 | − | 72.8638i | 0.236971 | − | 0.971517i | ||||
\(76\) | − | 4.18431i | − | 0.0550568i | ||||||
\(77\) | 64.3811 | + | 38.8179i | 0.836118 | + | 0.504128i | ||||
\(78\) | −12.5094 | + | 15.2332i | −0.160377 | + | 0.195297i | ||||
\(79\) | −27.5447 | + | 15.9030i | −0.348668 | + | 0.201303i | −0.664098 | − | 0.747645i | \(-0.731184\pi\) |
0.315431 | + | 0.948949i | \(0.397851\pi\) | |||||||
\(80\) | −19.4997 | + | 4.44542i | −0.243746 | + | 0.0555677i | ||||
\(81\) | 10.6719 | − | 80.2939i | 0.131751 | − | 0.991283i | ||||
\(82\) | −57.0939 | − | 15.2983i | −0.696268 | − | 0.186564i | ||||
\(83\) | 37.0831 | − | 37.0831i | 0.446785 | − | 0.446785i | −0.447499 | − | 0.894284i | \(-0.647685\pi\) |
0.894284 | + | 0.447499i | \(0.147685\pi\) | |||||||
\(84\) | −7.63957 | + | 41.2994i | −0.0909473 | + | 0.491659i | ||||
\(85\) | 3.12284 | − | 82.8906i | 0.0367393 | − | 0.975184i | ||||
\(86\) | 56.2421 | − | 32.4714i | 0.653977 | − | 0.377574i | ||||
\(87\) | −23.0909 | − | 61.4087i | −0.265413 | − | 0.705847i | ||||
\(88\) | −7.86203 | − | 29.3415i | −0.0893412 | − | 0.333426i | ||||
\(89\) | 136.159 | − | 78.6114i | 1.52987 | − | 0.883274i | 0.530509 | − | 0.847680i | \(-0.322001\pi\) |
0.999366 | − | 0.0355942i | \(-0.0113324\pi\) | |||||||
\(90\) | 10.0180 | + | 62.8462i | 0.111311 | + | 0.698291i | ||||
\(91\) | −22.5560 | − | 23.4288i | −0.247868 | − | 0.257460i | ||||
\(92\) | −18.6001 | + | 18.6001i | −0.202175 | + | 0.202175i | ||||
\(93\) | −22.8339 | + | 138.037i | −0.245525 | + | 1.48427i | ||||
\(94\) | −49.2996 | + | 85.3893i | −0.524463 | + | 0.908397i | ||||
\(95\) | 10.1991 | − | 2.32513i | 0.107359 | − | 0.0244750i | ||||
\(96\) | 13.7975 | − | 9.88071i | 0.143724 | − | 0.102924i | ||||
\(97\) | −41.8856 | + | 41.8856i | −0.431810 | + | 0.431810i | −0.889244 | − | 0.457434i | \(-0.848769\pi\) |
0.457434 | + | 0.889244i | \(0.348769\pi\) | |||||||
\(98\) | −66.2064 | − | 20.4625i | −0.675575 | − | 0.208801i | ||||
\(99\) | −94.8120 | + | 18.7984i | −0.957697 | + | 0.189883i | ||||
\(100\) | −21.6711 | − | 45.0596i | −0.216711 | − | 0.450596i | ||||
\(101\) | −92.9876 | + | 161.059i | −0.920670 | + | 1.59465i | −0.122288 | + | 0.992495i | \(0.539023\pi\) |
−0.798381 | + | 0.602152i | \(0.794310\pi\) | |||||||
\(102\) | 24.7727 | + | 65.8813i | 0.242870 | + | 0.645895i | ||||
\(103\) | −19.6216 | + | 73.2287i | −0.190501 | + | 0.710958i | 0.802885 | + | 0.596134i | \(0.203297\pi\) |
−0.993386 | + | 0.114824i | \(0.963370\pi\) | |||||||
\(104\) | 13.1409i | 0.126355i | ||||||||
\(105\) | −104.911 | + | 4.32795i | −0.999150 | + | 0.0412185i | ||||
\(106\) | 45.7132 | 0.431256 | ||||||||
\(107\) | 127.816 | + | 34.2483i | 1.19454 | + | 0.320077i | 0.800681 | − | 0.599092i | \(-0.204471\pi\) |
0.393864 | + | 0.919169i | \(0.371138\pi\) | |||||||
\(108\) | −28.4732 | − | 45.8833i | −0.263640 | − | 0.424846i | ||||
\(109\) | 140.071 | + | 80.8701i | 1.28506 | + | 0.741927i | 0.977768 | − | 0.209689i | \(-0.0672452\pi\) |
0.307288 | + | 0.951617i | \(0.400579\pi\) | |||||||
\(110\) | 67.1500 | − | 35.4678i | 0.610455 | − | 0.322435i | ||||
\(111\) | −126.020 | + | 12.3726i | −1.13531 | + | 0.111465i | ||||
\(112\) | 13.5373 | + | 24.5100i | 0.120869 | + | 0.218840i | ||||
\(113\) | −15.2685 | − | 15.2685i | −0.135119 | − | 0.135119i | 0.636312 | − | 0.771432i | \(-0.280459\pi\) |
−0.771432 | + | 0.636312i | \(0.780459\pi\) | |||||||
\(114\) | −7.21664 | + | 5.16800i | −0.0633039 | + | 0.0453333i | ||||
\(115\) | −55.6726 | − | 35.0013i | −0.484109 | − | 0.304359i | ||||
\(116\) | −37.8780 | − | 21.8689i | −0.326534 | − | 0.188525i | ||||
\(117\) | 41.7228 | + | 2.76055i | 0.356605 | + | 0.0235944i | ||||
\(118\) | 9.48720 | + | 9.48720i | 0.0804000 | + | 0.0804000i | ||||
\(119\) | −112.722 | + | 27.9222i | −0.947247 | + | 0.234641i | ||||
\(120\) | 31.7508 | + | 28.1404i | 0.264590 | + | 0.234504i | ||||
\(121\) | −2.82907 | − | 4.90010i | −0.0233808 | − | 0.0404967i | ||||
\(122\) | −159.306 | + | 42.6858i | −1.30578 | + | 0.349884i | ||||
\(123\) | 44.1313 | + | 117.364i | 0.358791 | + | 0.954179i | ||||
\(124\) | 46.6377 | + | 80.7789i | 0.376110 | + | 0.651442i | ||||
\(125\) | 97.7889 | − | 77.8610i | 0.782311 | − | 0.622888i | ||||
\(126\) | 80.6641 | − | 37.8325i | 0.640192 | − | 0.300258i | ||||
\(127\) | −60.5483 | − | 60.5483i | −0.476758 | − | 0.476758i | 0.427335 | − | 0.904093i | \(-0.359453\pi\) |
−0.904093 | + | 0.427335i | \(0.859453\pi\) | |||||||
\(128\) | 2.92820 | − | 10.9282i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | −125.467 | − | 56.8951i | −0.972612 | − | 0.441047i | ||||
\(130\) | −32.0304 | + | 7.30209i | −0.246388 | + | 0.0561699i | ||||
\(131\) | 85.5142 | + | 148.115i | 0.652780 | + | 1.13065i | 0.982445 | + | 0.186550i | \(0.0597307\pi\) |
−0.329666 | + | 0.944098i | \(0.606936\pi\) | |||||||
\(132\) | −40.8947 | + | 49.7989i | −0.309808 | + | 0.377265i | ||||
\(133\) | −7.08053 | − | 12.8197i | −0.0532371 | − | 0.0963888i | ||||
\(134\) | 3.30315 | 0.0246504 | ||||||||
\(135\) | 96.0170 | − | 94.8986i | 0.711237 | − | 0.702952i | ||||
\(136\) | 40.6368 | + | 23.4616i | 0.298800 | + | 0.172512i | ||||
\(137\) | 9.73567 | + | 36.3340i | 0.0710633 | + | 0.265212i | 0.992312 | − | 0.123763i | \(-0.0394961\pi\) |
−0.921249 | + | 0.388974i | \(0.872829\pi\) | |||||||
\(138\) | 55.0521 | + | 9.10660i | 0.398928 | + | 0.0659899i | ||||
\(139\) | 167.962 | 1.20836 | 0.604180 | − | 0.796848i | \(-0.293501\pi\) | ||||
0.604180 | + | 0.796848i | \(0.293501\pi\) | |||||||
\(140\) | −52.2199 | + | 46.6163i | −0.373000 | + | 0.332974i | ||||
\(141\) | 208.159 | − | 20.4370i | 1.47631 | − | 0.144943i | ||||
\(142\) | −30.2576 | + | 112.923i | −0.213082 | + | 0.795231i | ||||
\(143\) | −12.9143 | − | 48.1967i | −0.0903095 | − | 0.337040i | ||||
\(144\) | −34.0823 | − | 11.5929i | −0.236683 | − | 0.0805061i | ||||
\(145\) | 32.2566 | − | 104.478i | 0.222459 | − | 0.720539i | ||||
\(146\) | −130.399 | −0.893141 | ||||||||
\(147\) | 46.4794 | + | 139.458i | 0.316186 | + | 0.948697i | ||||
\(148\) | −59.6920 | + | 59.6920i | −0.403324 | + | 0.403324i | ||||
\(149\) | 137.856 | + | 238.773i | 0.925207 | + | 1.60251i | 0.791228 | + | 0.611522i | \(0.209442\pi\) |
0.133979 | + | 0.990984i | \(0.457224\pi\) | |||||||
\(150\) | −50.9481 | + | 93.0285i | −0.339654 | + | 0.620190i | ||||
\(151\) | −60.5110 | + | 104.808i | −0.400735 | + | 0.694093i | −0.993815 | − | 0.111051i | \(-0.964578\pi\) |
0.593080 | + | 0.805144i | \(0.297912\pi\) | |||||||
\(152\) | −1.53157 | + | 5.71588i | −0.0100761 | + | 0.0376045i | ||||
\(153\) | 83.0283 | − | 124.095i | 0.542669 | − | 0.811076i | ||||
\(154\) | −73.7379 | − | 76.5913i | −0.478817 | − | 0.497346i | ||||
\(155\) | −170.980 | + | 158.565i | −1.10310 | + | 1.02300i | ||||
\(156\) | 22.6640 | − | 16.2302i | 0.145282 | − | 0.104040i | ||||
\(157\) | −23.3449 | − | 87.1243i | −0.148694 | − | 0.554932i | −0.999563 | − | 0.0295549i | \(-0.990591\pi\) |
0.850870 | − | 0.525377i | \(-0.176076\pi\) | |||||||
\(158\) | 43.4477 | − | 11.6418i | 0.274986 | − | 0.0736821i | ||||
\(159\) | −56.4598 | − | 78.8410i | −0.355093 | − | 0.495855i | ||||
\(160\) | 28.2642 | + | 1.06483i | 0.176651 | + | 0.00665520i | ||||
\(161\) | −25.5117 | + | 88.4603i | −0.158458 | + | 0.549443i | ||||
\(162\) | −43.9676 | + | 105.777i | −0.271405 | + | 0.652947i | ||||
\(163\) | −60.2571 | − | 16.1458i | −0.369676 | − | 0.0990543i | 0.0691984 | − | 0.997603i | \(-0.477956\pi\) |
−0.438874 | + | 0.898549i | \(0.644623\pi\) | |||||||
\(164\) | 72.3922 | + | 41.7957i | 0.441416 | + | 0.254852i | ||||
\(165\) | −144.107 | − | 72.0071i | −0.873377 | − | 0.436407i | ||||
\(166\) | −64.2299 | + | 37.0831i | −0.386927 | + | 0.223392i | ||||
\(167\) | −5.23730 | − | 5.23730i | −0.0313611 | − | 0.0313611i | 0.691252 | − | 0.722613i | \(-0.257059\pi\) |
−0.722613 | + | 0.691252i | \(0.757059\pi\) | |||||||
\(168\) | 25.5525 | − | 53.6197i | 0.152098 | − | 0.319165i | ||||
\(169\) | − | 147.415i | − | 0.872276i | ||||||
\(170\) | −34.6060 | + | 112.088i | −0.203564 | + | 0.659339i | ||||
\(171\) | 17.8264 | + | 6.06353i | 0.104248 | + | 0.0354593i | ||||
\(172\) | −88.7134 | + | 23.7707i | −0.515776 | + | 0.138202i | ||||
\(173\) | −117.733 | − | 31.5466i | −0.680540 | − | 0.182350i | −0.0980419 | − | 0.995182i | \(-0.531258\pi\) |
−0.582498 | + | 0.812832i | \(0.697925\pi\) | |||||||
\(174\) | 9.06567 | + | 92.3377i | 0.0521016 | + | 0.530677i | ||||
\(175\) | −142.643 | − | 101.381i | −0.815102 | − | 0.579317i | ||||
\(176\) | 42.9589i | 0.244085i | ||||||||
\(177\) | 4.64494 | − | 28.0800i | 0.0262426 | − | 0.158644i | ||||
\(178\) | −214.770 | + | 57.5475i | −1.20657 | + | 0.323301i | ||||
\(179\) | 32.0467 | − | 55.5065i | 0.179032 | − | 0.310092i | −0.762517 | − | 0.646968i | \(-0.776037\pi\) |
0.941549 | + | 0.336876i | \(0.109370\pi\) | |||||||
\(180\) | 9.31844 | − | 89.5163i | 0.0517691 | − | 0.497313i | ||||
\(181\) | − | 305.611i | − | 1.68846i | −0.535984 | − | 0.844228i | \(-0.680059\pi\) | ||
0.535984 | − | 0.844228i | \(-0.319941\pi\) | |||||||
\(182\) | 22.2365 | + | 40.2605i | 0.122179 | + | 0.221211i | ||||
\(183\) | 270.377 | + | 222.032i | 1.47747 | + | 1.21329i | ||||
\(184\) | 32.2162 | − | 18.6001i | 0.175088 | − | 0.101087i | ||||
\(185\) | −178.666 | − | 112.327i | −0.965764 | − | 0.607175i | ||||
\(186\) | 81.7168 | − | 180.205i | 0.439337 | − | 0.968842i | ||||
\(187\) | −172.100 | − | 46.1140i | −0.920321 | − | 0.246599i | ||||
\(188\) | 98.5991 | − | 98.5991i | 0.524463 | − | 0.524463i | ||||
\(189\) | −164.877 | − | 92.3941i | −0.872364 | − | 0.488858i | ||||
\(190\) | −14.7833 | − | 0.556949i | −0.0778068 | − | 0.00293131i | ||||
\(191\) | 91.1439 | − | 52.6220i | 0.477193 | − | 0.275508i | −0.242053 | − | 0.970263i | \(-0.577821\pi\) |
0.719246 | + | 0.694755i | \(0.244487\pi\) | |||||||
\(192\) | −22.4644 | + | 8.44706i | −0.117002 | + | 0.0439951i | ||||
\(193\) | 30.3272 | + | 113.183i | 0.157136 | + | 0.586439i | 0.998913 | + | 0.0466140i | \(0.0148431\pi\) |
−0.841777 | + | 0.539825i | \(0.818490\pi\) | |||||||
\(194\) | 72.5479 | − | 41.8856i | 0.373958 | − | 0.215905i | ||||
\(195\) | 52.1543 | + | 46.2238i | 0.267458 | + | 0.237045i | ||||
\(196\) | 82.9498 | + | 52.1855i | 0.423213 | + | 0.266252i | ||||
\(197\) | 227.255 | − | 227.255i | 1.15358 | − | 1.15358i | 0.167748 | − | 0.985830i | \(-0.446351\pi\) |
0.985830 | − | 0.167748i | \(-0.0536494\pi\) | |||||||
\(198\) | 136.396 | + | 9.02453i | 0.688870 | + | 0.0455784i | ||||
\(199\) | −53.7513 | + | 93.1000i | −0.270107 | + | 0.467839i | −0.968889 | − | 0.247495i | \(-0.920392\pi\) |
0.698782 | + | 0.715335i | \(0.253726\pi\) | |||||||
\(200\) | 13.1103 | + | 69.4847i | 0.0655515 | + | 0.347423i | ||||
\(201\) | −4.07968 | − | 5.69690i | −0.0202969 | − | 0.0283428i | ||||
\(202\) | 185.975 | − | 185.975i | 0.920670 | − | 0.920670i | ||||
\(203\) | −153.054 | − | 2.90520i | −0.753963 | − | 0.0143113i | ||||
\(204\) | −9.72596 | − | 99.0630i | −0.0476763 | − | 0.485603i | ||||
\(205\) | −61.6487 | + | 199.678i | −0.300725 | + | 0.974040i | ||||
\(206\) | 53.6071 | − | 92.8502i | 0.260229 | − | 0.450729i | ||||
\(207\) | −52.2881 | − | 106.195i | −0.252600 | − | 0.513020i | ||||
\(208\) | 4.80990 | − | 17.9508i | 0.0231245 | − | 0.0863019i | ||||
\(209\) | − | 22.4692i | − | 0.107508i | ||||||
\(210\) | 144.895 | + | 32.4879i | 0.689976 | + | 0.154704i | ||||
\(211\) | −297.536 | −1.41012 | −0.705061 | − | 0.709147i | \(-0.749080\pi\) | ||||
−0.705061 | + | 0.709147i | \(0.749080\pi\) | |||||||
\(212\) | −62.4453 | − | 16.7322i | −0.294553 | − | 0.0789254i | ||||
\(213\) | 232.128 | − | 87.2848i | 1.08980 | − | 0.409788i | ||||
\(214\) | −162.065 | − | 93.5680i | −0.757311 | − | 0.437234i | ||||
\(215\) | −107.236 | − | 203.027i | −0.498773 | − | 0.944311i | ||||
\(216\) | 22.1006 | + | 73.0997i | 0.102318 | + | 0.338424i | ||||
\(217\) | 279.577 | + | 168.568i | 1.28837 | + | 0.776812i | ||||
\(218\) | −161.740 | − | 161.740i | −0.741927 | − | 0.741927i | ||||
\(219\) | 161.054 | + | 224.897i | 0.735406 | + | 1.02693i | ||||
\(220\) | −104.711 | + | 23.8713i | −0.475958 | + | 0.108506i | ||||
\(221\) | 66.7504 | + | 38.5384i | 0.302038 | + | 0.174382i | ||||
\(222\) | 176.675 | + | 29.2252i | 0.795833 | + | 0.131645i | ||||
\(223\) | −194.026 | − | 194.026i | −0.870074 | − | 0.870074i | 0.122406 | − | 0.992480i | \(-0.460939\pi\) |
−0.992480 | + | 0.122406i | \(0.960939\pi\) | |||||||
\(224\) | −9.52098 | − | 38.4363i | −0.0425044 | − | 0.171591i | ||||
\(225\) | 223.371 | − | 27.0288i | 0.992758 | − | 0.120128i | ||||
\(226\) | 15.2685 | + | 26.4458i | 0.0675597 | + | 0.117017i | ||||
\(227\) | 64.3983 | − | 17.2555i | 0.283693 | − | 0.0760153i | −0.114167 | − | 0.993462i | \(-0.536420\pi\) |
0.397860 | + | 0.917446i | \(0.369753\pi\) | |||||||
\(228\) | 11.7497 | − | 4.41815i | 0.0515339 | − | 0.0193778i | ||||
\(229\) | −22.0393 | − | 38.1732i | −0.0962416 | − | 0.166695i | 0.813885 | − | 0.581027i | \(-0.197349\pi\) |
−0.910126 | + | 0.414331i | \(0.864015\pi\) | |||||||
\(230\) | 63.2388 | + | 68.1903i | 0.274951 | + | 0.296479i | ||||
\(231\) | −41.0235 | + | 221.772i | −0.177591 | + | 0.960052i | ||||
\(232\) | 43.7377 | + | 43.7377i | 0.188525 | + | 0.188525i | ||||
\(233\) | 7.91167 | − | 29.5268i | 0.0339557 | − | 0.126724i | −0.946868 | − | 0.321624i | \(-0.895771\pi\) |
0.980823 | + | 0.194899i | \(0.0624381\pi\) | |||||||
\(234\) | −55.9840 | − | 19.0426i | −0.239248 | − | 0.0813786i | ||||
\(235\) | 295.121 | + | 185.542i | 1.25583 | + | 0.789542i | ||||
\(236\) | −9.48720 | − | 16.4323i | −0.0402000 | − | 0.0696284i | ||||
\(237\) | −73.7403 | − | 60.5552i | −0.311140 | − | 0.255507i | ||||
\(238\) | 164.202 | + | 3.11680i | 0.689924 | + | 0.0130958i | ||||
\(239\) | −213.748 | −0.894343 | −0.447171 | − | 0.894448i | \(-0.647569\pi\) | ||||
−0.447171 | + | 0.894448i | \(0.647569\pi\) | |||||||
\(240\) | −33.0723 | − | 50.0622i | −0.137801 | − | 0.208592i | ||||
\(241\) | 63.6195 | + | 36.7307i | 0.263981 | + | 0.152410i | 0.626149 | − | 0.779703i | \(-0.284630\pi\) |
−0.362168 | + | 0.932113i | \(0.617963\pi\) | |||||||
\(242\) | 2.07103 | + | 7.72917i | 0.00855796 | + | 0.0319387i | ||||
\(243\) | 236.737 | − | 54.8139i | 0.974227 | − | 0.225572i | ||||
\(244\) | 233.240 | 0.955901 | ||||||||
\(245\) | −81.1068 | + | 231.185i | −0.331048 | + | 0.943614i | ||||
\(246\) | −17.3263 | − | 176.475i | −0.0704320 | − | 0.717380i | ||||
\(247\) | −2.51577 | + | 9.38897i | −0.0101853 | + | 0.0380120i | ||||
\(248\) | −34.1412 | − | 127.417i | −0.137666 | − | 0.513776i | ||||
\(249\) | 143.287 | + | 64.9757i | 0.575448 | + | 0.260946i | ||||
\(250\) | −162.081 | + | 70.5669i | −0.648325 | + | 0.282268i | ||||
\(251\) | −235.026 | −0.936358 | −0.468179 | − | 0.883634i | \(-0.655090\pi\) | ||||
−0.468179 | + | 0.883634i | \(0.655090\pi\) | |||||||
\(252\) | −124.037 | + | 22.1550i | −0.492210 | + | 0.0879168i | ||||
\(253\) | −99.8798 | + | 99.8798i | −0.394782 | + | 0.394782i | ||||
\(254\) | 60.5483 | + | 104.873i | 0.238379 | + | 0.412885i | ||||
\(255\) | 236.058 | − | 78.7537i | 0.925717 | − | 0.308838i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 98.9522 | − | 369.295i | 0.385028 | − | 1.43694i | −0.453095 | − | 0.891462i | \(-0.649680\pi\) |
0.838123 | − | 0.545482i | \(-0.183653\pi\) | |||||||
\(258\) | 150.566 | + | 123.644i | 0.583589 | + | 0.479241i | ||||
\(259\) | −81.8731 | + | 283.890i | −0.316113 | + | 1.09610i | ||||
\(260\) | 46.4271 | + | 1.74911i | 0.178566 | + | 0.00672733i | ||||
\(261\) | 148.057 | − | 129.681i | 0.567268 | − | 0.496861i | ||||
\(262\) | −62.6007 | − | 233.629i | −0.238934 | − | 0.891714i | ||||
\(263\) | 294.961 | − | 79.0345i | 1.12152 | − | 0.300511i | 0.350024 | − | 0.936741i | \(-0.386174\pi\) |
0.771500 | + | 0.636230i | \(0.219507\pi\) | |||||||
\(264\) | 74.0908 | − | 53.0581i | 0.280647 | − | 0.200978i | ||||
\(265\) | 6.08461 | − | 161.506i | 0.0229608 | − | 0.609456i | ||||
\(266\) | 4.97985 | + | 20.1037i | 0.0187212 | + | 0.0755779i | ||||
\(267\) | 364.512 | + | 299.336i | 1.36521 | + | 1.12111i | ||||
\(268\) | −4.51218 | − | 1.20904i | −0.0168365 | − | 0.00451133i | ||||
\(269\) | 153.231 | + | 88.4680i | 0.569632 | + | 0.328877i | 0.757002 | − | 0.653412i | \(-0.226663\pi\) |
−0.187370 | + | 0.982289i | \(0.559996\pi\) | |||||||
\(270\) | −165.897 | + | 94.4892i | −0.614433 | + | 0.349960i | ||||
\(271\) | −334.108 | + | 192.897i | −1.23287 | + | 0.711798i | −0.967627 | − | 0.252383i | \(-0.918786\pi\) |
−0.265243 | + | 0.964182i | \(0.585452\pi\) | |||||||
\(272\) | −46.9233 | − | 46.9233i | −0.172512 | − | 0.172512i | ||||
\(273\) | 41.9728 | − | 88.0763i | 0.153746 | − | 0.322624i | ||||
\(274\) | − | 53.1967i | − | 0.194149i | ||||||
\(275\) | −116.371 | − | 241.964i | −0.423166 | − | 0.879869i | ||||
\(276\) | −71.8693 | − | 32.5903i | −0.260396 | − | 0.118081i | ||||
\(277\) | −446.379 | + | 119.607i | −1.61148 | + | 0.431794i | −0.948482 | − | 0.316831i | \(-0.897381\pi\) |
−0.662994 | + | 0.748625i | \(0.730714\pi\) | |||||||
\(278\) | −229.440 | − | 61.4783i | −0.825325 | − | 0.221145i | ||||
\(279\) | −411.725 | + | 81.6327i | −1.47572 | + | 0.292590i | ||||
\(280\) | 88.3965 | − | 44.5652i | 0.315702 | − | 0.159161i | ||||
\(281\) | − | 100.962i | − | 0.359295i | −0.983731 | − | 0.179647i | \(-0.942504\pi\) | ||
0.983731 | − | 0.179647i | \(-0.0574957\pi\) | |||||||
\(282\) | −291.832 | − | 48.2742i | −1.03486 | − | 0.171185i | ||||
\(283\) | 371.789 | − | 99.6207i | 1.31374 | − | 0.352016i | 0.467113 | − | 0.884198i | \(-0.345294\pi\) |
0.846630 | + | 0.532181i | \(0.178628\pi\) | |||||||
\(284\) | 82.6653 | − | 143.180i | 0.291075 | − | 0.504157i | ||||
\(285\) | 17.2981 | + | 26.1845i | 0.0606952 | + | 0.0918754i | ||||
\(286\) | 70.5648i | 0.246730i | ||||||||
\(287\) | 292.517 | + | 5.55241i | 1.01922 | + | 0.0193464i | ||||
\(288\) | 42.3140 | + | 28.3112i | 0.146924 | + | 0.0983027i | ||||
\(289\) | −11.9300 | + | 6.88780i | −0.0412804 | + | 0.0238332i | ||||
\(290\) | −82.3050 | + | 130.913i | −0.283810 | + | 0.451424i | ||||
\(291\) | −161.843 | − | 73.3903i | −0.556161 | − | 0.252200i | ||||
\(292\) | 178.128 | + | 47.7292i | 0.610027 | + | 0.163456i | ||||
\(293\) | −259.252 | + | 259.252i | −0.884820 | + | 0.884820i | −0.994020 | − | 0.109200i | \(-0.965171\pi\) |
0.109200 | + | 0.994020i | \(0.465171\pi\) | |||||||
\(294\) | −12.4467 | − | 207.516i | −0.0423356 | − | 0.705838i | ||||
\(295\) | 34.7813 | − | 32.2557i | 0.117903 | − | 0.109341i | ||||
\(296\) | 103.390 | − | 59.6920i | 0.349289 | − | 0.201662i | ||||
\(297\) | −152.897 | − | 246.387i | −0.514805 | − | 0.829587i | ||||
\(298\) | −100.917 | − | 376.629i | −0.338649 | − | 1.26386i | ||||
\(299\) | 52.9188 | − | 30.5527i | 0.176986 | − | 0.102183i | ||||
\(300\) | 103.647 | − | 108.431i | 0.345490 | − | 0.361436i | ||||
\(301\) | −231.572 | + | 222.945i | −0.769343 | + | 0.740681i | ||||
\(302\) | 121.022 | − | 121.022i | 0.400735 | − | 0.400735i | ||||
\(303\) | −550.446 | − | 91.0537i | −1.81665 | − | 0.300507i | ||||
\(304\) | 4.18431 | − | 7.24745i | 0.0137642 | − | 0.0238403i | ||||
\(305\) | 129.606 | + | 568.513i | 0.424938 | + | 1.86398i | ||||
\(306\) | −158.841 | + | 139.126i | −0.519087 | + | 0.454660i | ||||
\(307\) | 150.022 | − | 150.022i | 0.488672 | − | 0.488672i | −0.419215 | − | 0.907887i | \(-0.637695\pi\) |
0.907887 | + | 0.419215i | \(0.137695\pi\) | |||||||
\(308\) | 72.6934 | + | 131.616i | 0.236018 | + | 0.427323i | ||||
\(309\) | −226.347 | + | 22.2227i | −0.732516 | + | 0.0719180i | ||||
\(310\) | 291.602 | − | 154.020i | 0.940650 | − | 0.496840i | ||||
\(311\) | −29.8412 | + | 51.6864i | −0.0959523 | + | 0.166194i | −0.910006 | − | 0.414596i | \(-0.863923\pi\) |
0.814053 | + | 0.580790i | \(0.197256\pi\) | |||||||
\(312\) | −36.9002 | + | 13.8752i | −0.118270 | + | 0.0444719i | ||||
\(313\) | 32.8475 | − | 122.588i | 0.104944 | − | 0.391656i | −0.893395 | − | 0.449272i | \(-0.851683\pi\) |
0.998339 | + | 0.0576160i | \(0.0183499\pi\) | |||||||
\(314\) | 127.559i | 0.406238i | ||||||||
\(315\) | −122.927 | − | 290.024i | −0.390243 | − | 0.920712i | ||||
\(316\) | −63.6119 | −0.201303 | ||||||||
\(317\) | −270.266 | − | 72.4174i | −0.852573 | − | 0.228446i | −0.194036 | − | 0.980994i | \(-0.562158\pi\) |
−0.658537 | + | 0.752548i | \(0.728824\pi\) | |||||||
\(318\) | 48.2677 | + | 128.365i | 0.151785 | + | 0.403662i | ||||
\(319\) | −203.400 | − | 117.433i | −0.637616 | − | 0.368128i | ||||
\(320\) | −38.2199 | − | 11.8000i | −0.119437 | − | 0.0368750i | ||||
\(321\) | 38.7883 | + | 395.076i | 0.120836 | + | 1.23077i | ||||
\(322\) | 67.2284 | − | 111.501i | 0.208784 | − | 0.346277i | ||||
\(323\) | 24.5427 | + | 24.5427i | 0.0759837 | + | 0.0759837i | ||||
\(324\) | 98.7781 | − | 128.401i | 0.304871 | − | 0.396300i | ||||
\(325\) | 21.5351 | + | 114.136i | 0.0662619 | + | 0.351189i | ||||
\(326\) | 76.4030 | + | 44.1113i | 0.234365 | + | 0.135311i | ||||
\(327\) | −79.1881 | + | 478.715i | −0.242166 | + | 1.46396i | ||||
\(328\) | −83.5913 | − | 83.5913i | −0.254852 | − | 0.254852i | ||||
\(329\) | 135.238 | − | 468.929i | 0.411058 | − | 1.42532i | ||||
\(330\) | 170.498 | + | 151.110i | 0.516660 | + | 0.457910i | ||||
\(331\) | 74.7861 | + | 129.533i | 0.225940 | + | 0.391339i | 0.956601 | − | 0.291401i | \(-0.0941214\pi\) |
−0.730661 | + | 0.682740i | \(0.760788\pi\) | |||||||
\(332\) | 101.313 | − | 27.1467i | 0.305160 | − | 0.0817673i | ||||
\(333\) | −167.805 | − | 340.805i | −0.503919 | − | 1.02344i | ||||
\(334\) | 5.23730 | + | 9.07126i | 0.0156805 | + | 0.0271595i | ||||
\(335\) | 0.439662 | − | 11.6701i | 0.00131242 | − | 0.0348362i | ||||
\(336\) | −54.5315 | + | 63.8930i | −0.162296 | + | 0.190158i | ||||
\(337\) | 217.610 | + | 217.610i | 0.645728 | + | 0.645728i | 0.951958 | − | 0.306230i | \(-0.0990676\pi\) |
−0.306230 | + | 0.951958i | \(0.599068\pi\) | |||||||
\(338\) | −53.9575 | + | 201.372i | −0.159638 | + | 0.595776i | ||||
\(339\) | 26.7529 | − | 58.9963i | 0.0789170 | − | 0.174031i | ||||
\(340\) | 88.2996 | − | 140.448i | 0.259705 | − | 0.413082i | ||||
\(341\) | 250.438 | + | 433.772i | 0.734423 | + | 1.27206i | ||||
\(342\) | −22.1319 | − | 14.8079i | −0.0647132 | − | 0.0432978i | ||||
\(343\) | 342.444 | + | 19.5191i | 0.998379 | + | 0.0569069i | ||||
\(344\) | 129.885 | 0.377574 | ||||||||
\(345\) | 39.5015 | − | 193.288i | 0.114497 | − | 0.560256i | ||||
\(346\) | 149.280 | + | 86.1868i | 0.431445 | + | 0.249095i | ||||
\(347\) | −18.6415 | − | 69.5709i | −0.0537218 | − | 0.200492i | 0.933849 | − | 0.357668i | \(-0.116428\pi\) |
−0.987571 | + | 0.157175i | \(0.949761\pi\) | |||||||
\(348\) | 21.4140 | − | 129.454i | 0.0615345 | − | 0.371994i | ||||
\(349\) | −257.887 | −0.738932 | −0.369466 | − | 0.929244i | \(-0.620459\pi\) | ||||
−0.369466 | + | 0.929244i | \(0.620459\pi\) | |||||||
\(350\) | 157.746 | + | 190.699i | 0.450703 | + | 0.544855i | ||||
\(351\) | 36.3027 | + | 120.074i | 0.103426 | + | 0.342092i | ||||
\(352\) | 15.7241 | − | 58.6830i | 0.0446706 | − | 0.166713i | ||||
\(353\) | 33.7279 | + | 125.874i | 0.0955466 | + | 0.356585i | 0.997102 | − | 0.0760795i | \(-0.0242403\pi\) |
−0.901555 | + | 0.432664i | \(0.857574\pi\) | |||||||
\(354\) | −16.6231 | + | 36.6578i | −0.0469579 | + | 0.103553i | ||||
\(355\) | 394.932 | + | 121.931i | 1.11249 | + | 0.343469i | ||||
\(356\) | 314.445 | 0.883274 | ||||||||
\(357\) | −197.429 | − | 287.047i | −0.553021 | − | 0.804053i | ||||
\(358\) | −64.0933 | + | 64.0933i | −0.179032 | + | 0.179032i | ||||
\(359\) | −315.396 | − | 546.282i | −0.878540 | − | 1.52168i | −0.852943 | − | 0.522004i | \(-0.825185\pi\) |
−0.0255973 | − | 0.999672i | \(-0.508149\pi\) | |||||||
\(360\) | −45.4945 | + | 118.871i | −0.126374 | + | 0.330197i | ||||
\(361\) | 178.311 | − | 308.844i | 0.493938 | − | 0.855525i | ||||
\(362\) | −111.861 | + | 417.472i | −0.309009 | + | 1.15324i | ||||
\(363\) | 10.7725 | − | 13.1181i | 0.0296764 | − | 0.0361380i | ||||
\(364\) | −15.6393 | − | 63.1359i | −0.0429650 | − | 0.173450i | ||||
\(365\) | −17.3566 | + | 460.702i | −0.0475523 | + | 1.26220i | ||||
\(366\) | −288.072 | − | 402.266i | −0.787082 | − | 1.09909i | ||||
\(367\) | 41.5321 | + | 155.000i | 0.113167 | + | 0.422343i | 0.999143 | − | 0.0413865i | \(-0.0131775\pi\) |
−0.885977 | + | 0.463730i | \(0.846511\pi\) | |||||||
\(368\) | −50.8163 | + | 13.6162i | −0.138088 | + | 0.0370005i | ||||
\(369\) | −282.966 | + | 247.845i | −0.766845 | + | 0.671668i | ||||
\(370\) | 202.948 | + | 218.839i | 0.548508 | + | 0.591456i | ||||
\(371\) | −219.631 | + | 54.4042i | −0.591997 | + | 0.146642i | ||||
\(372\) | −177.587 | + | 216.254i | −0.477383 | + | 0.581327i | ||||
\(373\) | −3.96685 | − | 1.06291i | −0.0106350 | − | 0.00284963i | 0.253498 | − | 0.967336i | \(-0.418419\pi\) |
−0.264133 | + | 0.964486i | \(0.585086\pi\) | |||||||
\(374\) | 218.214 | + | 125.986i | 0.583460 | + | 0.336861i | ||||
\(375\) | 321.891 | + | 192.383i | 0.858375 | + | 0.513022i | ||||
\(376\) | −170.779 | + | 98.5991i | −0.454199 | + | 0.262232i | ||||
\(377\) | 71.8441 | + | 71.8441i | 0.190568 | + | 0.190568i | ||||
\(378\) | 191.407 | + | 186.562i | 0.506368 | + | 0.493550i | ||||
\(379\) | − | 282.119i | − | 0.744377i | −0.928157 | − | 0.372189i | \(-0.878607\pi\) | ||
0.928157 | − | 0.372189i | \(-0.121393\pi\) | |||||||
\(380\) | 19.9905 | + | 6.17187i | 0.0526066 | + | 0.0162418i | ||||
\(381\) | 106.090 | − | 233.954i | 0.278453 | − | 0.614053i | ||||
\(382\) | −143.766 | + | 38.5220i | −0.376351 | + | 0.100843i | ||||
\(383\) | −525.594 | − | 140.832i | −1.37231 | − | 0.367709i | −0.503986 | − | 0.863712i | \(-0.668134\pi\) |
−0.868321 | + | 0.496003i | \(0.834800\pi\) | |||||||
\(384\) | 33.7787 | − | 3.31638i | 0.0879654 | − | 0.00863640i | ||||
\(385\) | −280.414 | + | 250.323i | −0.728348 | + | 0.650190i | ||||
\(386\) | − | 165.711i | − | 0.429303i | ||||||
\(387\) | 27.2855 | − | 412.391i | 0.0705051 | − | 1.06561i | ||||
\(388\) | −114.433 | + | 30.6624i | −0.294932 | + | 0.0790267i | ||||
\(389\) | 22.1584 | − | 38.3795i | 0.0569626 | − | 0.0986621i | −0.836138 | − | 0.548519i | \(-0.815192\pi\) |
0.893101 | + | 0.449857i | \(0.148525\pi\) | |||||||
\(390\) | −54.3250 | − | 82.2327i | −0.139295 | − | 0.210853i | ||||
\(391\) | − | 218.194i | − | 0.558041i | ||||||
\(392\) | −94.2104 | − | 101.648i | −0.240333 | − | 0.259307i | ||||
\(393\) | −325.620 | + | 396.519i | −0.828550 | + | 1.00896i | ||||
\(394\) | −393.617 | + | 227.255i | −0.999028 | + | 0.576789i | ||||
\(395\) | −35.3477 | − | 155.052i | −0.0894878 | − | 0.392536i | ||||
\(396\) | −183.018 | − | 62.2522i | −0.462166 | − | 0.157203i | ||||
\(397\) | 273.314 | + | 73.2343i | 0.688448 | + | 0.184469i | 0.586051 | − | 0.810274i | \(-0.300682\pi\) |
0.102398 | + | 0.994744i | \(0.467349\pi\) | |||||||
\(398\) | 107.503 | − | 107.503i | 0.270107 | − | 0.270107i | ||||
\(399\) | 28.5221 | − | 33.4186i | 0.0714840 | − | 0.0837558i | ||||
\(400\) | 7.52416 | − | 99.7165i | 0.0188104 | − | 0.249291i | ||||
\(401\) | −359.724 | + | 207.687i | −0.897067 | + | 0.517922i | −0.876247 | − | 0.481861i | \(-0.839961\pi\) |
−0.0208196 | + | 0.999783i | \(0.506628\pi\) | |||||||
\(402\) | 3.48774 | + | 9.27538i | 0.00867596 | + | 0.0230731i | ||||
\(403\) | −56.0806 | − | 209.296i | −0.139158 | − | 0.519344i | ||||
\(404\) | −322.119 | + | 185.975i | −0.797323 | + | 0.460335i | ||||
\(405\) | 367.862 | + | 169.418i | 0.908301 | + | 0.418317i | ||||
\(406\) | 208.013 | + | 59.9904i | 0.512347 | + | 0.147760i | ||||
\(407\) | −320.538 | + | 320.538i | −0.787562 | + | 0.787562i | ||||
\(408\) | −22.9737 | + | 138.883i | −0.0563080 | + | 0.340398i | ||||
\(409\) | 257.340 | − | 445.725i | 0.629192 | − | 1.08979i | −0.358522 | − | 0.933521i | \(-0.616719\pi\) |
0.987714 | − | 0.156272i | \(-0.0499475\pi\) | |||||||
\(410\) | 157.301 | − | 250.200i | 0.383661 | − | 0.610245i | ||||
\(411\) | −91.7478 | + | 65.7027i | −0.223231 | + | 0.159860i | ||||
\(412\) | −107.214 | + | 107.214i | −0.260229 | + | 0.260229i | ||||
\(413\) | −56.8725 | − | 34.2907i | −0.137706 | − | 0.0830283i | ||||
\(414\) | 32.5568 | + | 164.204i | 0.0786395 | + | 0.396628i | ||||
\(415\) | 122.467 | + | 231.862i | 0.295100 | + | 0.558703i | ||||
\(416\) | −13.1409 | + | 22.7607i | −0.0315887 | + | 0.0547132i | ||||
\(417\) | 177.348 | + | 471.645i | 0.425295 | + | 1.13104i | ||||
\(418\) | −8.22430 | + | 30.6935i | −0.0196754 | + | 0.0734295i | ||||
\(419\) | 18.1550i | 0.0433294i | 0.999765 | + | 0.0216647i | \(0.00689662\pi\) | ||||
−0.999765 | + | 0.0216647i | \(0.993103\pi\) | |||||||
\(420\) | −186.039 | − | 97.4145i | −0.442949 | − | 0.231939i | ||||
\(421\) | −744.462 | −1.76832 | −0.884160 | − | 0.467185i | \(-0.845268\pi\) | ||||
−0.884160 | + | 0.467185i | \(0.845268\pi\) | |||||||
\(422\) | 406.441 | + | 108.906i | 0.963131 | + | 0.258070i | ||||
\(423\) | 277.180 | + | 562.942i | 0.655272 | + | 1.33083i | ||||
\(424\) | 79.1775 | + | 45.7132i | 0.186739 | + | 0.107814i | ||||
\(425\) | 391.403 | + | 137.183i | 0.920947 | + | 0.322784i | ||||
\(426\) | −349.041 | + | 34.2686i | −0.819345 | + | 0.0804428i | ||||
\(427\) | 714.589 | − | 394.679i | 1.67351 | − | 0.924307i | ||||
\(428\) | 187.136 | + | 187.136i | 0.437234 | + | 0.437234i | ||||
\(429\) | 121.702 | − | 87.1538i | 0.283689 | − | 0.203156i | ||||
\(430\) | 72.1744 | + | 316.591i | 0.167847 | + | 0.736258i | ||||
\(431\) | −250.590 | − | 144.678i | −0.581416 | − | 0.335681i | 0.180280 | − | 0.983615i | \(-0.442300\pi\) |
−0.761696 | + | 0.647935i | \(0.775633\pi\) | |||||||
\(432\) | −3.43362 | − | 107.945i | −0.00794819 | − | 0.249874i | ||||
\(433\) | 71.7806 | + | 71.7806i | 0.165775 | + | 0.165775i | 0.785119 | − | 0.619344i | \(-0.212602\pi\) |
−0.619344 | + | 0.785119i | \(0.712602\pi\) | |||||||
\(434\) | −320.209 | − | 332.601i | −0.737810 | − | 0.766361i | ||||
\(435\) | 327.438 | − | 19.7387i | 0.752732 | − | 0.0453764i | ||||
\(436\) | 161.740 | + | 280.142i | 0.370964 | + | 0.642528i | ||||
\(437\) | 26.5789 | − | 7.12180i | 0.0608213 | − | 0.0162970i | ||||
\(438\) | −137.686 | − | 366.165i | −0.314351 | − | 0.835993i | ||||
\(439\) | −387.852 | − | 671.779i | −0.883489 | − | 1.53025i | −0.847435 | − | 0.530899i | \(-0.821854\pi\) |
−0.0360543 | − | 0.999350i | \(-0.511479\pi\) | |||||||
\(440\) | 151.775 | + | 5.71801i | 0.344943 | + | 0.0129955i | ||||
\(441\) | −342.529 | + | 277.768i | −0.776709 | + | 0.629859i | ||||
\(442\) | −77.0767 | − | 77.0767i | −0.174382 | − | 0.174382i | ||||
\(443\) | 95.9678 | − | 358.157i | 0.216632 | − | 0.808480i | −0.768954 | − | 0.639304i | \(-0.779223\pi\) |
0.985586 | − | 0.169176i | \(-0.0541108\pi\) | |||||||
\(444\) | −230.645 | − | 104.590i | −0.519472 | − | 0.235563i | ||||
\(445\) | 174.730 | + | 766.449i | 0.392652 | + | 1.72236i | ||||
\(446\) | 194.026 | + | 336.064i | 0.435037 | + | 0.753506i | ||||
\(447\) | −524.927 | + | 639.222i | −1.17433 | + | 1.43003i | ||||
\(448\) | −1.06277 | + | 55.9899i | −0.00237226 | + | 0.124977i | ||||
\(449\) | 777.510 | 1.73165 | 0.865825 | − | 0.500348i | \(-0.166794\pi\) | ||||
0.865825 | + | 0.500348i | \(0.166794\pi\) | |||||||
\(450\) | −315.023 | − | 44.8373i | −0.700052 | − | 0.0996384i | ||||
\(451\) | 388.736 | + | 224.437i | 0.861943 | + | 0.497643i | ||||
\(452\) | −11.1773 | − | 41.7143i | −0.0247286 | − | 0.0922883i | ||||
\(453\) | −358.198 | − | 59.2524i | −0.790724 | − | 0.130800i | ||||
\(454\) | −94.2856 | −0.207678 | ||||||||
\(455\) | 145.201 | − | 73.2033i | 0.319123 | − | 0.160886i | ||||
\(456\) | −17.6676 | + | 1.73460i | −0.0387447 | + | 0.00380394i | ||||
\(457\) | −195.875 | + | 731.014i | −0.428609 | + | 1.59959i | 0.327303 | + | 0.944919i | \(0.393860\pi\) |
−0.755912 | + | 0.654673i | \(0.772806\pi\) | |||||||
\(458\) | 16.1339 | + | 60.2126i | 0.0352269 | + | 0.131468i | ||||
\(459\) | 436.131 | + | 102.118i | 0.950177 | + | 0.222479i | ||||
\(460\) | −61.4264 | − | 116.297i | −0.133536 | − | 0.252819i | ||||
\(461\) | 199.974 | 0.433783 | 0.216892 | − | 0.976196i | \(-0.430408\pi\) | ||||
0.216892 | + | 0.976196i | \(0.430408\pi\) | |||||||
\(462\) | 137.213 | − | 287.931i | 0.296998 | − | 0.623226i | ||||
\(463\) | 508.040 | − | 508.040i | 1.09728 | − | 1.09728i | 0.102550 | − | 0.994728i | \(-0.467300\pi\) |
0.994728 | − | 0.102550i | \(-0.0327002\pi\) | |||||||
\(464\) | −43.7377 | − | 75.7559i | −0.0942623 | − | 0.163267i | ||||
\(465\) | −625.791 | − | 312.694i | −1.34579 | − | 0.672459i | ||||
\(466\) | −21.6151 | + | 37.4384i | −0.0463843 | + | 0.0803400i | ||||
\(467\) | −67.3165 | + | 251.229i | −0.144147 | + | 0.537963i | 0.855645 | + | 0.517563i | \(0.173161\pi\) |
−0.999792 | + | 0.0204000i | \(0.993506\pi\) | |||||||
\(468\) | 69.5055 | + | 46.5042i | 0.148516 | + | 0.0993680i | ||||
\(469\) | −15.8701 | + | 3.93115i | −0.0338382 | + | 0.00838198i | ||||
\(470\) | −335.229 | − | 361.477i | −0.713254 | − | 0.769101i | ||||
\(471\) | 219.999 | − | 157.547i | 0.467090 | − | 0.334494i | ||||
\(472\) | 6.94511 | + | 25.9195i | 0.0147142 | + | 0.0549142i | ||||
\(473\) | −476.379 | + | 127.645i | −1.00714 | + | 0.269863i | ||||
\(474\) | 78.5663 | + | 109.711i | 0.165752 | + | 0.231457i | ||||
\(475\) | −3.93543 | + | 52.1557i | −0.00828512 | + | 0.109801i | ||||
\(476\) | −223.163 | − | 64.3597i | −0.468830 | − | 0.135209i | ||||
\(477\) | 161.774 | − | 241.789i | 0.339149 | − | 0.506894i | ||||
\(478\) | 291.985 | + | 78.2372i | 0.610847 | + | 0.163676i | ||||
\(479\) | 559.185 | + | 322.846i | 1.16740 | + | 0.674000i | 0.953067 | − | 0.302761i | \(-0.0979082\pi\) |
0.214335 | + | 0.976760i | \(0.431242\pi\) | |||||||
\(480\) | 26.8536 | + | 80.4915i | 0.0559450 | + | 0.167691i | ||||
\(481\) | 169.829 | − | 98.0507i | 0.353074 | − | 0.203848i | ||||
\(482\) | −73.4615 | − | 73.4615i | −0.152410 | − | 0.152410i | ||||
\(483\) | −275.338 | + | 21.7656i | −0.570058 | + | 0.0450634i | ||||
\(484\) | − | 11.3163i | − | 0.0233808i | ||||||
\(485\) | −138.326 | − | 261.889i | −0.285209 | − | 0.539977i | ||||
\(486\) | −343.452 | − | 11.7746i | −0.706692 | − | 0.0242275i | ||||
\(487\) | −523.382 | + | 140.240i | −1.07471 | + | 0.287967i | −0.752426 | − | 0.658677i | \(-0.771116\pi\) |
−0.322281 | + | 0.946644i | \(0.604450\pi\) | |||||||
\(488\) | −318.611 | − | 85.3717i | −0.652892 | − | 0.174942i | ||||
\(489\) | −18.2862 | − | 186.253i | −0.0373951 | − | 0.380885i | ||||
\(490\) | 195.414 | − | 286.118i | 0.398803 | − | 0.583914i | ||||
\(491\) | − | 663.596i | − | 1.35152i | −0.737122 | − | 0.675760i | \(-0.763816\pi\) | ||
0.737122 | − | 0.675760i | \(-0.236184\pi\) | |||||||
\(492\) | −40.9264 | + | 247.412i | −0.0831837 | + | 0.502870i | ||||
\(493\) | 350.440 | − | 93.9000i | 0.710831 | − | 0.190467i | ||||
\(494\) | 6.87320 | − | 11.9047i | 0.0139134 | − | 0.0240987i | ||||
\(495\) | 50.0388 | − | 480.691i | 0.101088 | − | 0.971092i | ||||
\(496\) | 186.551i | 0.376110i | ||||||||
\(497\) | 10.9818 | − | 578.553i | 0.0220962 | − | 1.16409i | ||||
\(498\) | −171.950 | − | 141.205i | −0.345282 | − | 0.283544i | ||||
\(499\) | 632.196 | − | 364.999i | 1.26693 | − | 0.731460i | 0.292521 | − | 0.956259i | \(-0.405506\pi\) |
0.974405 | + | 0.224799i | \(0.0721725\pi\) | |||||||
\(500\) | 247.236 | − | 37.0703i | 0.494473 | − | 0.0741407i | ||||
\(501\) | 9.17659 | − | 20.2365i | 0.0183165 | − | 0.0403923i | ||||
\(502\) | 321.051 | + | 86.0255i | 0.639545 | + | 0.171365i | ||||
\(503\) | 151.136 | − | 151.136i | 0.300470 | − | 0.300470i | −0.540728 | − | 0.841198i | \(-0.681851\pi\) |
0.841198 | + | 0.540728i | \(0.181851\pi\) | |||||||
\(504\) | 177.547 | + | 15.1363i | 0.352276 | + | 0.0300324i | ||||
\(505\) | −632.302 | − | 681.810i | −1.25208 | − | 1.35012i | ||||
\(506\) | 172.997 | − | 99.8798i | 0.341891 | − | 0.197391i | ||||
\(507\) | 413.947 | − | 155.653i | 0.816463 | − | 0.307007i | ||||
\(508\) | −44.3244 | − | 165.421i | −0.0872528 | − | 0.325632i | ||||
\(509\) | −315.266 | + | 182.019i | −0.619383 | + | 0.357601i | −0.776629 | − | 0.629959i | \(-0.783072\pi\) |
0.157246 | + | 0.987560i | \(0.449739\pi\) | |||||||
\(510\) | −351.287 | + | 21.1764i | −0.688798 | + | 0.0415223i | ||||
\(511\) | 626.506 | − | 155.190i | 1.22604 | − | 0.303699i | ||||
\(512\) | 16.0000 | − | 16.0000i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 1.79592 | + | 56.4597i | 0.00350081 | + | 0.110058i | ||||
\(514\) | −270.342 | + | 468.247i | −0.525958 | + | 0.910986i | ||||
\(515\) | −320.907 | − | 201.754i | −0.623120 | − | 0.391756i | ||||
\(516\) | −160.420 | − | 224.012i | −0.310892 | − | 0.434132i | ||||
\(517\) | 529.464 | − | 529.464i | 1.02411 | − | 1.02411i | ||||
\(518\) | 215.752 | − | 357.833i | 0.416509 | − | 0.690798i | ||||
\(519\) | −35.7285 | − | 363.910i | −0.0688410 | − | 0.701175i | ||||
\(520\) | −62.7804 | − | 19.3828i | −0.120732 | − | 0.0372747i | ||||
\(521\) | 98.0617 | − | 169.848i | 0.188218 | − | 0.326003i | −0.756438 | − | 0.654065i | \(-0.773062\pi\) |
0.944656 | + | 0.328062i | \(0.106395\pi\) | |||||||
\(522\) | −249.716 | + | 122.955i | −0.478383 | + | 0.235545i | ||||
\(523\) | −182.310 | + | 680.391i | −0.348586 | + | 1.30094i | 0.539781 | + | 0.841805i | \(0.318507\pi\) |
−0.888367 | + | 0.459134i | \(0.848160\pi\) | |||||||
\(524\) | 342.057i | 0.652780i | ||||||||
\(525\) | 134.067 | − | 507.593i | 0.255365 | − | 0.966845i | ||||
\(526\) | −431.852 | −0.821012 | ||||||||
\(527\) | −747.350 | − | 200.252i | −1.41812 | − | 0.379985i | ||||
\(528\) | −120.631 | + | 45.3596i | −0.228467 | + | 0.0859083i | ||||
\(529\) | 308.321 | + | 178.009i | 0.582838 | + | 0.336502i | ||||
\(530\) | −67.4270 | + | 218.394i | −0.127221 | + | 0.412064i | ||||
\(531\) | 83.7544 | − | 16.6060i | 0.157730 | − | 0.0312731i | ||||
\(532\) | 0.555872 | − | 29.2849i | 0.00104487 | − | 0.0550469i | ||||
\(533\) | −137.308 | − | 137.308i | −0.257614 | − | 0.257614i | ||||
\(534\) | −388.368 | − | 542.321i | −0.727281 | − | 1.01558i | ||||
\(535\) | −352.150 | + | 560.124i | −0.658224 | + | 1.04696i | ||||
\(536\) | 5.72122 | + | 3.30315i | 0.0106739 | + | 0.00616259i | ||||
\(537\) | 189.702 | + | 31.3802i | 0.353263 | + | 0.0584360i | ||||
\(538\) | −176.936 | − | 176.936i | −0.328877 | − | 0.328877i | ||||
\(539\) | 445.430 | + | 280.229i | 0.826400 | + | 0.519905i | ||||
\(540\) | 261.205 | − | 68.3521i | 0.483713 | − | 0.126578i | ||||
\(541\) | −36.0002 | − | 62.3542i | −0.0665438 | − | 0.115257i | 0.830834 | − | 0.556520i | \(-0.187864\pi\) |
−0.897378 | + | 0.441263i | \(0.854531\pi\) | |||||||
\(542\) | 527.005 | − | 141.211i | 0.972334 | − | 0.260536i | ||||
\(543\) | 858.168 | − | 322.689i | 1.58042 | − | 0.594271i | ||||
\(544\) | 46.9233 | + | 81.2735i | 0.0862560 | + | 0.149400i | ||||
\(545\) | −592.961 | + | 549.904i | −1.08800 | + | 1.00900i | ||||
\(546\) | −89.5740 | + | 104.951i | −0.164055 | + | 0.192219i | ||||
\(547\) | 369.252 | + | 369.252i | 0.675049 | + | 0.675049i | 0.958876 | − | 0.283827i | \(-0.0916040\pi\) |
−0.283827 | + | 0.958876i | \(0.591604\pi\) | |||||||
\(548\) | −19.4713 | + | 72.6680i | −0.0355316 | + | 0.132606i | ||||
\(549\) | −337.990 | + | 993.669i | −0.615647 | + | 1.80996i | ||||
\(550\) | 70.4005 | + | 373.123i | 0.128001 | + | 0.678406i | ||||
\(551\) | 22.8765 | + | 39.6233i | 0.0415182 | + | 0.0719117i | ||||
\(552\) | 86.2464 | + | 70.8252i | 0.156243 | + | 0.128306i | ||||
\(553\) | −194.891 | + | 107.641i | −0.352425 | + | 0.194650i | ||||
\(554\) | 653.544 | 1.17968 | ||||||||
\(555\) | 126.770 | − | 620.308i | 0.228414 | − | 1.11767i | ||||
\(556\) | 290.919 | + | 167.962i | 0.523235 | + | 0.302090i | ||||
\(557\) | −60.6241 | − | 226.252i | −0.108840 | − | 0.406198i | 0.889912 | − | 0.456132i | \(-0.150766\pi\) |
−0.998753 | + | 0.0499341i | \(0.984099\pi\) | |||||||
\(558\) | 592.306 | + | 39.1893i | 1.06148 | + | 0.0702318i | ||||
\(559\) | 213.351 | 0.381666 | ||||||||
\(560\) | −137.064 | + | 28.5218i | −0.244757 | + | 0.0509319i | ||||
\(561\) | −52.2271 | − | 531.955i | −0.0930964 | − | 0.948227i | ||||
\(562\) | −36.9546 | + | 137.916i | −0.0657555 | + | 0.245403i | ||||
\(563\) | −13.3709 | − | 49.9008i | −0.0237494 | − | 0.0886338i | 0.953034 | − | 0.302863i | \(-0.0979426\pi\) |
−0.976783 | + | 0.214230i | \(0.931276\pi\) | |||||||
\(564\) | 380.980 | + | 172.762i | 0.675496 | + | 0.306315i | ||||
\(565\) | 95.4661 | − | 50.4240i | 0.168966 | − | 0.0892460i | ||||
\(566\) | −544.337 | −0.961727 | ||||||||
\(567\) | 85.3563 | − | 560.538i | 0.150540 | − | 0.988604i | ||||
\(568\) | −165.331 | + | 165.331i | −0.291075 | + | 0.291075i | ||||
\(569\) | 79.3283 | + | 137.401i | 0.139417 | + | 0.241477i | 0.927276 | − | 0.374378i | \(-0.122144\pi\) |
−0.787859 | + | 0.615856i | \(0.788811\pi\) | |||||||
\(570\) | −14.0455 | − | 42.1002i | −0.0246412 | − | 0.0738600i | ||||
\(571\) | 396.116 | − | 686.092i | 0.693723 | − | 1.20156i | −0.276887 | − | 0.960903i | \(-0.589303\pi\) |
0.970609 | − | 0.240660i | \(-0.0773640\pi\) | |||||||
\(572\) | 25.8285 | − | 96.3933i | 0.0451547 | − | 0.168520i | ||||
\(573\) | 244.002 | + | 200.374i | 0.425833 | + | 0.349692i | ||||
\(574\) | −397.553 | − | 114.653i | −0.692601 | − | 0.199745i | ||||
\(575\) | 249.335 | − | 214.348i | 0.433627 | − | 0.372779i | ||||
\(576\) | −47.4394 | − | 54.1618i | −0.0823601 | − | 0.0940309i | ||||
\(577\) | −218.523 | − | 815.540i | −0.378723 | − | 1.41341i | −0.847828 | − | 0.530271i | \(-0.822090\pi\) |
0.469105 | − | 0.883142i | \(-0.344577\pi\) | |||||||
\(578\) | 18.8178 | − | 5.04222i | 0.0325568 | − | 0.00872357i | ||||
\(579\) | −285.800 | + | 204.668i | −0.493610 | + | 0.353485i | ||||
\(580\) | 160.348 | − | 148.705i | 0.276462 | − | 0.256388i | ||||
\(581\) | 264.462 | − | 254.609i | 0.455184 | − | 0.438225i | ||||
\(582\) | 194.219 | + | 159.492i | 0.333709 | + | 0.274040i | ||||
\(583\) | −335.323 | − | 89.8495i | −0.575168 | − | 0.154116i | ||||
\(584\) | −225.857 | − | 130.399i | −0.386742 | − | 0.223285i | ||||
\(585\) | −74.7297 | + | 195.258i | −0.127743 | + | 0.333775i | ||||
\(586\) | 449.038 | − | 259.252i | 0.766276 | − | 0.442410i | ||||
\(587\) | 395.180 | + | 395.180i | 0.673220 | + | 0.673220i | 0.958457 | − | 0.285237i | \(-0.0920724\pi\) |
−0.285237 | + | 0.958457i | \(0.592072\pi\) | |||||||
\(588\) | −58.9538 | + | 288.029i | −0.100262 | + | 0.489844i | ||||
\(589\) | − | 97.5734i | − | 0.165659i | ||||||
\(590\) | −59.3186 | + | 31.3313i | −0.100540 | + | 0.0531039i | ||||
\(591\) | 878.096 | + | 398.187i | 1.48578 | + | 0.673751i | ||||
\(592\) | −163.081 | + | 43.6976i | −0.275475 | + | 0.0738134i | ||||
\(593\) | −116.227 | − | 31.1428i | −0.195998 | − | 0.0525174i | 0.159485 | − | 0.987200i | \(-0.449017\pi\) |
−0.355482 | + | 0.934683i | \(0.615683\pi\) | |||||||
\(594\) | 118.677 | + | 392.536i | 0.199793 | + | 0.660834i | ||||
\(595\) | 32.8677 | − | 579.715i | 0.0552398 | − | 0.974311i | ||||
\(596\) | 551.423i | 0.925207i | ||||||||
\(597\) | −318.184 | − | 52.6334i | −0.532972 | − | 0.0881631i | ||||
\(598\) | −83.4714 | + | 22.3661i | −0.139584 | + | 0.0374015i | ||||
\(599\) | −598.910 | + | 1037.34i | −0.999850 | + | 1.73179i | −0.484920 | + | 0.874558i | \(0.661151\pi\) |
−0.514930 | + | 0.857232i | \(0.672182\pi\) | |||||||
\(600\) | −181.273 | + | 110.182i | −0.302122 | + | 0.183637i | ||||
\(601\) | − | 170.669i | − | 0.283975i | −0.989868 | − | 0.141988i | \(-0.954651\pi\) | ||
0.989868 | − | 0.141988i | \(-0.0453493\pi\) | |||||||
\(602\) | 397.937 | − | 219.787i | 0.661025 | − | 0.365095i | ||||
\(603\) | 11.6895 | − | 17.4712i | 0.0193856 | − | 0.0289738i | ||||
\(604\) | −209.616 | + | 121.022i | −0.347047 | + | 0.200367i | ||||
\(605\) | 27.5830 | − | 6.28821i | 0.0455918 | − | 0.0103937i | ||||
\(606\) | 718.595 | + | 325.859i | 1.18580 | + | 0.537721i | ||||
\(607\) | −375.584 | − | 100.638i | −0.618755 | − | 0.165795i | −0.0641933 | − | 0.997937i | \(-0.520447\pi\) |
−0.554562 | + | 0.832143i | \(0.687114\pi\) | |||||||
\(608\) | −8.36863 | + | 8.36863i | −0.0137642 | + | 0.0137642i | ||||
\(609\) | −153.450 | − | 432.851i | −0.251970 | − | 0.710757i | ||||
\(610\) | 31.0452 | − | 824.042i | 0.0508937 | − | 1.35089i | ||||
\(611\) | −280.523 | + | 161.960i | −0.459121 | + | 0.265074i | ||||
\(612\) | 267.904 | − | 131.910i | 0.437751 | − | 0.215539i | ||||
\(613\) | 71.3663 | + | 266.343i | 0.116421 | + | 0.434490i | 0.999389 | − | 0.0349428i | \(-0.0111249\pi\) |
−0.882968 | + | 0.469433i | \(0.844458\pi\) | |||||||
\(614\) | −259.846 | + | 150.022i | −0.423202 | + | 0.244336i | ||||
\(615\) | −625.799 | + | 37.7246i | −1.01756 | + | 0.0613408i | ||||
\(616\) | −51.1264 | − | 206.398i | −0.0829974 | − | 0.335062i | ||||
\(617\) | −140.458 | + | 140.458i | −0.227647 | + | 0.227647i | −0.811709 | − | 0.584062i | \(-0.801462\pi\) |
0.584062 | + | 0.811709i | \(0.301462\pi\) | |||||||
\(618\) | 317.330 | + | 52.4922i | 0.513479 | + | 0.0849388i | ||||
\(619\) | −514.196 | + | 890.614i | −0.830688 | + | 1.43879i | 0.0668049 | + | 0.997766i | \(0.478719\pi\) |
−0.897493 | + | 0.441028i | \(0.854614\pi\) | |||||||
\(620\) | −454.710 | + | 103.662i | −0.733404 | + | 0.167197i | ||||
\(621\) | 242.991 | − | 258.957i | 0.391289 | − | 0.417000i | ||||
\(622\) | 59.6823 | − | 59.6823i | 0.0959523 | − | 0.0959523i | ||||
\(623\) | 963.384 | − | 532.092i | 1.54636 | − | 0.854081i | ||||
\(624\) | 55.4853 | − | 5.44752i | 0.0889187 | − | 0.00872999i | ||||
\(625\) | 227.741 | + | 582.030i | 0.364386 | + | 0.931248i | ||||
\(626\) | −89.7410 | + | 155.436i | −0.143356 | + | 0.248300i | ||||
\(627\) | 63.0945 | − | 23.7248i | 0.100629 | − | 0.0378387i | ||||
\(628\) | 46.6898 | − | 174.249i | 0.0743468 | − | 0.277466i | ||||
\(629\) | − | 700.236i | − | 1.11325i | ||||||
\(630\) | 61.7645 | + | 441.175i | 0.0980389 | + | 0.700277i | ||||
\(631\) | −328.983 | −0.521367 | −0.260684 | − | 0.965424i | \(-0.583948\pi\) | ||||
−0.260684 | + | 0.965424i | \(0.583948\pi\) | |||||||
\(632\) | 86.8954 | + | 23.2836i | 0.137493 | + | 0.0368411i | ||||
\(633\) | −314.163 | − | 835.493i | −0.496307 | − | 1.31989i | ||||
\(634\) | 342.683 | + | 197.848i | 0.540509 | + | 0.312063i | ||||
\(635\) | 378.578 | − | 199.960i | 0.596185 | − | 0.314897i | ||||
\(636\) | −18.9503 | − | 193.016i | −0.0297960 | − | 0.303485i | ||||
\(637\) | −154.751 | − | 166.969i | −0.242937 | − | 0.262117i | ||||
\(638\) | 234.866 | + | 234.866i | 0.368128 | + | 0.368128i | ||||
\(639\) | 490.199 | + | 559.662i | 0.767135 | + | 0.875841i | ||||
\(640\) | 47.8902 | + | 30.1086i | 0.0748285 | + | 0.0470446i | ||||
\(641\) | −199.327 | − | 115.081i | −0.310962 | − | 0.179534i | 0.336395 | − | 0.941721i | \(-0.390792\pi\) |
−0.647357 | + | 0.762187i | \(0.724126\pi\) | |||||||
\(642\) | 91.6219 | − | 553.881i | 0.142713 | − | 0.862743i | ||||
\(643\) | 301.400 | + | 301.400i | 0.468740 | + | 0.468740i | 0.901506 | − | 0.432766i | \(-0.142462\pi\) |
−0.432766 | + | 0.901506i | \(0.642462\pi\) | |||||||
\(644\) | −132.648 | + | 127.706i | −0.205975 | + | 0.198301i | ||||
\(645\) | 456.879 | − | 515.496i | 0.708340 | − | 0.799219i | ||||
\(646\) | −24.5427 | − | 42.5092i | −0.0379918 | − | 0.0658038i | ||||
\(647\) | −623.121 | + | 166.965i | −0.963092 | + | 0.258060i | −0.705909 | − | 0.708303i | \(-0.749461\pi\) |
−0.257184 | + | 0.966363i | \(0.582794\pi\) | |||||||
\(648\) | −181.932 | + | 139.244i | −0.280759 | + | 0.214883i | ||||
\(649\) | −50.9450 | − | 88.2393i | −0.0784977 | − | 0.135962i | ||||
\(650\) | 12.3593 | − | 163.795i | 0.0190143 | − | 0.251993i | ||||
\(651\) | −178.146 | + | 963.053i | −0.273650 | + | 1.47934i | ||||
\(652\) | −88.2225 | − | 88.2225i | −0.135311 | − | 0.135311i | ||||
\(653\) | 187.337 | − | 699.151i | 0.286886 | − | 1.07067i | −0.660563 | − | 0.750770i | \(-0.729682\pi\) |
0.947450 | − | 0.319905i | \(-0.103651\pi\) | |||||||
\(654\) | 283.395 | − | 624.952i | 0.433326 | − | 0.955584i | ||||
\(655\) | −833.750 | + | 190.073i | −1.27290 | + | 0.290188i | ||||
\(656\) | 83.5913 | + | 144.784i | 0.127426 | + | 0.220708i | ||||
\(657\) | −461.467 | + | 689.712i | −0.702385 | + | 1.04979i | ||||
\(658\) | −356.378 | + | 591.068i | −0.541609 | + | 0.898280i | ||||
\(659\) | −1009.35 | −1.53165 | −0.765823 | − | 0.643052i | \(-0.777668\pi\) | ||||
−0.765823 | + | 0.643052i | \(0.777668\pi\) | |||||||
\(660\) | −177.594 | − | 268.827i | −0.269082 | − | 0.407314i | ||||
\(661\) | −305.298 | − | 176.264i | −0.461873 | − | 0.266663i | 0.250958 | − | 0.967998i | \(-0.419254\pi\) |
−0.712832 | + | 0.701335i | \(0.752588\pi\) | |||||||
\(662\) | −54.7472 | − | 204.319i | −0.0826997 | − | 0.308640i | ||||
\(663\) | −37.7368 | + | 228.130i | −0.0569183 | + | 0.344088i | ||||
\(664\) | −148.333 | −0.223392 | ||||||||
\(665\) | 71.6898 | − | 14.9180i | 0.107804 | − | 0.0224332i | ||||
\(666\) | 104.482 | + | 526.970i | 0.156880 | + | 0.791246i | ||||
\(667\) | 74.4426 | − | 277.824i | 0.111608 | − | 0.416527i | ||||
\(668\) | −3.83397 | − | 14.3086i | −0.00573947 | − | 0.0214200i | ||||
\(669\) | 339.966 | − | 749.704i | 0.508170 | − | 1.12063i | ||||
\(670\) | −4.87215 | + | 15.7807i | −0.00727186 | + | 0.0235533i | ||||
\(671\) | 1252.47 | 1.86657 | ||||||||
\(672\) | 97.8779 | − | 67.3196i | 0.145652 | − | 0.100178i | ||||
\(673\) | −328.459 | + | 328.459i | −0.488052 | + | 0.488052i | −0.907691 | − | 0.419639i | \(-0.862157\pi\) |
0.419639 | + | 0.907691i | \(0.362157\pi\) | |||||||
\(674\) | −217.610 | − | 376.912i | −0.322864 | − | 0.559217i | ||||
\(675\) | 311.751 | + | 598.695i | 0.461854 | + | 0.886956i | ||||
\(676\) | 147.415 | − | 255.330i | 0.218069 | − | 0.377707i | ||||
\(677\) | 97.5907 | − | 364.214i | 0.144152 | − | 0.537982i | −0.855640 | − | 0.517572i | \(-0.826836\pi\) |
0.999792 | − | 0.0204101i | \(-0.00649720\pi\) | |||||||
\(678\) | −58.1393 | + | 70.7983i | −0.0857511 | + | 0.104422i | ||||
\(679\) | −298.711 | + | 287.582i | −0.439927 | + | 0.423537i | ||||
\(680\) | −172.027 | + | 159.536i | −0.252981 | + | 0.234611i | ||||
\(681\) | 116.451 | + | 162.613i | 0.171000 | + | 0.238786i | ||||
\(682\) | −183.333 | − | 684.210i | −0.268817 | − | 1.00324i | ||||
\(683\) | 197.306 | − | 52.8679i | 0.288881 | − | 0.0774054i | −0.111469 | − | 0.993768i | \(-0.535555\pi\) |
0.400349 | + | 0.916363i | \(0.368889\pi\) | |||||||
\(684\) | 24.8127 | + | 28.3287i | 0.0362759 | + | 0.0414163i | ||||
\(685\) | −187.945 | − | 7.08069i | −0.274373 | − | 0.0103368i | ||||
\(686\) | −460.643 | − | 152.007i | −0.671491 | − | 0.221584i | ||||
\(687\) | 83.9212 | − | 102.194i | 0.122156 | − | 0.148754i | ||||
\(688\) | −177.427 | − | 47.5414i | −0.257888 | − | 0.0691008i | ||||
\(689\) | 130.058 | + | 75.0889i | 0.188763 | + | 0.108982i | ||||
\(690\) | −124.709 | + | 249.578i | −0.180737 | + | 0.361708i | ||||
\(691\) | −30.3995 | + | 17.5512i | −0.0439935 | + | 0.0253996i | −0.521835 | − | 0.853046i | \(-0.674752\pi\) |
0.477842 | + | 0.878446i | \(0.341419\pi\) | |||||||
\(692\) | −172.374 | − | 172.374i | −0.249095 | − | 0.249095i | ||||
\(693\) | −666.062 | + | 118.970i | −0.961128 | + | 0.171673i | ||||
\(694\) | 101.859i | 0.146771i | ||||||||
\(695\) | −247.744 | + | 802.436i | −0.356466 | + | 1.15458i | ||||
\(696\) | −76.6355 | + | 168.999i | −0.110109 | + | 0.242815i | ||||
\(697\) | −669.759 | + | 179.461i | −0.960917 | + | 0.257477i | ||||
\(698\) | 352.280 | + | 94.3933i | 0.504700 | + | 0.135234i | ||||
\(699\) | 91.2662 | − | 8.96047i | 0.130567 | − | 0.0128190i | ||||
\(700\) | −145.684 | − | 318.239i | −0.208120 | − | 0.454627i | ||||
\(701\) | 1035.40i | 1.47703i | 0.674238 | + | 0.738514i | \(0.264472\pi\) | ||||
−0.674238 | + | 0.738514i | \(0.735528\pi\) | |||||||
\(702\) | −5.64010 | − | 177.312i | −0.00803432 | − | 0.252582i | ||||
\(703\) | 85.2980 | − | 22.8555i | 0.121334 | − | 0.0325114i | ||||
\(704\) | −42.9589 | + | 74.4070i | −0.0610212 | + | 0.105692i | ||||
\(705\) | −209.398 | + | 1024.62i | −0.297019 | + | 1.45337i | ||||
\(706\) | − | 184.293i | − | 0.261038i | ||||||
\(707\) | −672.192 | + | 1114.86i | −0.950767 | + | 1.57689i | ||||
\(708\) | 36.1253 | − | 43.9911i | 0.0510244 | − | 0.0621343i | ||||
\(709\) | −362.406 | + | 209.235i | −0.511151 | + | 0.295113i | −0.733307 | − | 0.679898i | \(-0.762024\pi\) |
0.222156 | + | 0.975011i | \(0.428691\pi\) | |||||||
\(710\) | −494.857 | − | 311.117i | −0.696982 | − | 0.438192i | ||||
\(711\) | 92.1806 | − | 271.005i | 0.129649 | − | 0.381160i | ||||
\(712\) | −429.540 | − | 115.095i | −0.603287 | − | 0.161650i | ||||
\(713\) | −433.732 | + | 433.732i | −0.608320 | + | 0.608320i | ||||
\(714\) | 164.626 | + | 464.377i | 0.230568 | + | 0.650388i | ||||
\(715\) | 249.307 | + | 9.39246i | 0.348682 | + | 0.0131363i | ||||
\(716\) | 111.013 | − | 64.0933i | 0.155046 | − | 0.0895158i | ||||
\(717\) | −225.693 | − | 600.214i | −0.314774 | − | 0.837118i | ||||
\(718\) | 230.886 | + | 861.678i | 0.321568 | + | 1.20011i | ||||
\(719\) | −393.739 | + | 227.325i | −0.547621 | + | 0.316169i | −0.748162 | − | 0.663516i | \(-0.769063\pi\) |
0.200541 | + | 0.979685i | \(0.435730\pi\) | |||||||
\(720\) | 105.656 | − | 145.728i | 0.146745 | − | 0.202400i | ||||
\(721\) | −147.054 | + | 509.902i | −0.203959 | + | 0.707214i | ||||
\(722\) | −356.623 | + | 356.623i | −0.493938 | + | 0.493938i | ||||
\(723\) | −35.9668 | + | 217.430i | −0.0497466 | + | 0.300733i | ||||
\(724\) | 305.611 | − | 529.333i | 0.422114 | − | 0.731123i | ||||
\(725\) | 451.564 | + | 308.211i | 0.622847 | + | 0.425118i | ||||
\(726\) | −19.5171 | + | 13.9766i | −0.0268831 | + | 0.0192516i | ||||
\(727\) | −707.691 | + | 707.691i | −0.973441 | + | 0.973441i | −0.999656 | − | 0.0262157i | \(-0.991654\pi\) |
0.0262157 | + | 0.999656i | \(0.491654\pi\) | |||||||
\(728\) | −1.74572 | + | 91.9696i | −0.00239797 | + | 0.126332i | ||||
\(729\) | 403.886 | + | 606.891i | 0.554028 | + | 0.832498i | ||||
\(730\) | 192.338 | − | 622.978i | 0.263477 | − | 0.853394i | ||||
\(731\) | 380.916 | − | 659.766i | 0.521089 | − | 0.902552i | ||||
\(732\) | 246.274 | + | 654.947i | 0.336440 | + | 0.894737i | ||||
\(733\) | −216.868 | + | 809.364i | −0.295864 | + | 1.10418i | 0.644664 | + | 0.764466i | \(0.276997\pi\) |
−0.940529 | + | 0.339715i | \(0.889670\pi\) | |||||||
\(734\) | − | 226.936i | − | 0.309177i | ||||||
\(735\) | −734.818 | + | 16.3531i | −0.999752 | + | 0.0222492i | ||||
\(736\) | 74.4002 | 0.101087 | ||||||||
\(737\) | −24.2298 | − | 6.49236i | −0.0328763 | − | 0.00880917i | ||||
\(738\) | 477.256 | − | 234.990i | 0.646689 | − | 0.318415i | ||||
\(739\) | 605.923 | + | 349.830i | 0.819923 | + | 0.473383i | 0.850390 | − | 0.526153i | \(-0.176366\pi\) |
−0.0304668 | + | 0.999536i | \(0.509699\pi\) | |||||||
\(740\) | −197.132 | − | 373.223i | −0.266394 | − | 0.504356i | ||||
\(741\) | −29.0210 | + | 2.84927i | −0.0391646 | + | 0.00384516i | ||||
\(742\) | 319.934 | + | 6.07283i | 0.431179 | + | 0.00818441i | ||||
\(743\) | 116.105 | + | 116.105i | 0.156265 | + | 0.156265i | 0.780910 | − | 0.624644i | \(-0.214756\pi\) |
−0.624644 | + | 0.780910i | \(0.714756\pi\) | |||||||
\(744\) | 321.742 | − | 230.407i | 0.432449 | − | 0.309687i | ||||
\(745\) | −1344.07 | + | 306.413i | −1.80413 | + | 0.411293i | ||||
\(746\) | 5.02976 | + | 2.90393i | 0.00674231 | + | 0.00389267i | ||||
\(747\) | −31.1607 | + | 470.962i | −0.0417145 | + | 0.630471i | ||||
\(748\) | −251.972 | − | 251.972i | −0.336861 | − | 0.336861i | ||||
\(749\) | 890.003 | + | 256.675i | 1.18825 | + | 0.342690i | ||||
\(750\) | −369.294 | − | 380.621i | −0.492392 | − | 0.507494i | ||||
\(751\) | −533.815 | − | 924.595i | −0.710806 | − | 1.23115i | −0.964555 | − | 0.263882i | \(-0.914997\pi\) |
0.253749 | − | 0.967270i | \(-0.418336\pi\) | |||||||
\(752\) | 269.378 | − | 72.1796i | 0.358215 | − | 0.0959835i | ||||
\(753\) | −248.160 | − | 659.963i | −0.329562 | − | 0.876445i | ||||
\(754\) | −71.8441 | − | 124.438i | −0.0952839 | − | 0.165037i | ||||
\(755\) | −411.465 | − | 443.682i | −0.544987 | − | 0.587659i | ||||
\(756\) | −193.181 | − | 324.908i | −0.255530 | − | 0.429772i | ||||
\(757\) | 549.837 | + | 549.837i | 0.726336 | + | 0.726336i | 0.969888 | − | 0.243552i | \(-0.0783125\pi\) |
−0.243552 | + | 0.969888i | \(0.578313\pi\) | |||||||
\(758\) | −103.263 | + | 385.382i | −0.136230 | + | 0.508419i | ||||
\(759\) | −385.928 | − | 175.006i | −0.508470 | − | 0.230574i | ||||
\(760\) | −25.0485 | − | 15.7480i | −0.0329585 | − | 0.0207210i | ||||
\(761\) | −195.222 | − | 338.135i | −0.256534 | − | 0.444330i | 0.708777 | − | 0.705433i | \(-0.249247\pi\) |
−0.965311 | + | 0.261103i | \(0.915914\pi\) | |||||||
\(762\) | −230.555 | + | 280.756i | −0.302566 | + | 0.368446i | ||||
\(763\) | 969.578 | + | 584.597i | 1.27074 | + | 0.766182i | ||||
\(764\) | 210.488 | 0.275508 | ||||||||
\(765\) | 470.393 | + | 579.706i | 0.614893 | + | 0.757786i | ||||
\(766\) | 666.426 | + | 384.761i | 0.870008 | + | 0.502299i | ||||
\(767\) | 11.4081 | + | 42.5757i | 0.0148737 | + | 0.0555093i | ||||
\(768\) | −47.3565 | − | 7.83361i | −0.0616621 | − | 0.0102000i | ||||
\(769\) | 895.914 | 1.16504 | 0.582519 | − | 0.812817i | \(-0.302067\pi\) | ||||
0.582519 | + | 0.812817i | \(0.302067\pi\) | |||||||
\(770\) | 474.677 | − | 239.309i | 0.616464 | − | 0.310791i | ||||
\(771\) | 1141.48 | − | 112.070i | 1.48052 | − | 0.145356i | ||||
\(772\) | −60.6545 | + | 226.366i | −0.0785680 | + | 0.293220i | ||||
\(773\) | 137.448 | + | 512.962i | 0.177811 | + | 0.663599i | 0.996056 | + | 0.0887292i | \(0.0282806\pi\) |
−0.818245 | + | 0.574870i | \(0.805053\pi\) | |||||||
\(774\) | −188.218 | + | 553.350i | −0.243176 | + | 0.714922i | ||||
\(775\) | −505.344 | − | 1050.74i | −0.652057 | − | 1.35579i | ||||
\(776\) | 167.542 | 0.215905 | ||||||||
\(777\) | −883.624 | + | 69.8511i | −1.13723 | + | 0.0898984i | ||||
\(778\) | −44.3169 | + | 44.3169i | −0.0569626 | + | 0.0569626i | ||||
\(779\) | −43.7215 | − | 75.7279i | −0.0561252 | − | 0.0972117i | ||||
\(780\) | 44.1100 | + | 132.216i | 0.0565513 | + | 0.169508i | ||||
\(781\) | 443.901 | − | 768.860i | 0.568376 | − | 0.984456i | ||||
\(782\) | −79.8645 | + | 298.059i | −0.102129 | + | 0.381149i | ||||
\(783\) | 520.480 | + | 278.823i | 0.664726 | + | 0.356096i | ||||
\(784\) | 91.4879 | + | 173.338i | 0.116694 | + | 0.221094i | ||||
\(785\) | 450.669 | + | 16.9786i | 0.574100 | + | 0.0216288i | ||||
\(786\) | 589.942 | − | 422.470i | 0.750562 | − | 0.537494i | ||||
\(787\) | −81.7205 | − | 304.985i | −0.103838 | − | 0.387529i | 0.894373 | − | 0.447322i | \(-0.147622\pi\) |
−0.998211 | + | 0.0597938i | \(0.980956\pi\) | |||||||
\(788\) | 620.872 | − | 166.362i | 0.787908 | − | 0.211119i | ||||
\(789\) | 533.376 | + | 744.811i | 0.676015 | + | 0.943994i | ||||
\(790\) | −8.46700 | + | 224.742i | −0.0107177 | + | 0.284484i | ||||
\(791\) | −104.832 | − | 108.889i | −0.132531 | − | 0.137659i | ||||
\(792\) | 227.221 | + | 152.027i | 0.286895 | + | 0.191954i | ||||
\(793\) | −523.355 | − | 140.232i | −0.659968 | − | 0.176838i | ||||
\(794\) | −346.548 | − | 200.080i | −0.436459 | − | 0.251990i | ||||
\(795\) | 459.940 | − | 153.445i | 0.578541 | − | 0.193013i | ||||
\(796\) | −186.200 | + | 107.503i | −0.233920 | + | 0.135054i | ||||
\(797\) | 606.894 | + | 606.894i | 0.761473 | + | 0.761473i | 0.976589 | − | 0.215115i | \(-0.0690127\pi\) |
−0.215115 | + | 0.976589i | \(0.569013\pi\) | |||||||
\(798\) | −51.1940 | + | 35.2108i | −0.0641528 | + | 0.0441238i | ||||
\(799\) | 1156.65i | 1.44762i | ||||||||
\(800\) | −46.7770 | + | 133.461i | −0.0584712 | + | 0.166827i | ||||
\(801\) | −455.666 | + | 1339.63i | −0.568872 | + | 1.67245i | ||||
\(802\) | 567.411 | − | 152.037i | 0.707494 | − | 0.189573i | ||||
\(803\) | 956.523 | + | 256.300i | 1.19119 | + | 0.319177i | ||||
\(804\) | −1.36931 | − | 13.9470i | −0.00170312 | − | 0.0173470i | ||||
\(805\) | −384.988 | − | 252.361i | −0.478246 | − | 0.313492i | ||||
\(806\) | 306.430i | 0.380187i | ||||||||
\(807\) | −86.6280 | + | 523.691i | −0.107346 | + | 0.648936i | ||||
\(808\) | 508.094 | − | 136.143i | 0.628829 | − | 0.168494i | ||||
\(809\) | 9.18442 | − | 15.9079i | 0.0113528 | − | 0.0196636i | −0.860293 | − | 0.509800i | \(-0.829720\pi\) |
0.871646 | + | 0.490136i | \(0.163053\pi\) | |||||||
\(810\) | −440.497 | − | 366.076i | −0.543824 | − | 0.451946i | ||||
\(811\) | − | 560.626i | − | 0.691277i | −0.938368 | − | 0.345639i | \(-0.887662\pi\) | ||
0.938368 | − | 0.345639i | \(-0.112338\pi\) | |||||||
\(812\) | −262.193 | − | 158.086i | −0.322898 | − | 0.194688i | ||||
\(813\) | −894.443 | − | 734.513i | −1.10018 | − | 0.903460i | ||||
\(814\) | 555.188 | − | 320.538i | 0.682049 | − | 0.393781i | ||||
\(815\) | 166.016 | − | 264.062i | 0.203700 | − | 0.324003i | ||||
\(816\) | 82.2172 | − | 181.308i | 0.100756 | − | 0.222191i | ||||
\(817\) | 92.8012 | + | 24.8660i | 0.113588 | + | 0.0304358i | ||||
\(818\) | −514.679 | + | 514.679i | −0.629192 | + | 0.629192i | ||||
\(819\) | 291.640 | + | 24.8631i | 0.356093 | + | 0.0303579i | ||||
\(820\) | −306.457 | + | 284.204i | −0.373728 | + | 0.346590i | ||||
\(821\) | −32.1227 | + | 18.5461i | −0.0391263 | + | 0.0225896i | −0.519436 | − | 0.854510i | \(-0.673858\pi\) |
0.480309 | + | 0.877099i | \(0.340524\pi\) | |||||||
\(822\) | 149.379 | − | 56.1695i | 0.181726 | − | 0.0683327i | ||||
\(823\) | −252.975 | − | 944.115i | −0.307381 | − | 1.14716i | −0.930876 | − | 0.365335i | \(-0.880954\pi\) |
0.623494 | − | 0.781828i | \(-0.285712\pi\) | |||||||
\(824\) | 185.700 | − | 107.214i | 0.225365 | − | 0.130114i | ||||
\(825\) | 556.571 | − | 582.260i | 0.674632 | − | 0.705769i | ||||
\(826\) | 65.1381 | + | 67.6588i | 0.0788597 | + | 0.0819113i | ||||
\(827\) | 193.270 | − | 193.270i | 0.233700 | − | 0.233700i | −0.580535 | − | 0.814235i | \(-0.697157\pi\) |
0.814235 | + | 0.580535i | \(0.197157\pi\) | |||||||
\(828\) | 15.6295 | − | 236.224i | 0.0188762 | − | 0.285294i | ||||
\(829\) | −60.6831 | + | 105.106i | −0.0732004 | + | 0.126787i | −0.900302 | − | 0.435265i | \(-0.856655\pi\) |
0.827102 | + | 0.562052i | \(0.189988\pi\) | |||||||
\(830\) | −82.4250 | − | 361.555i | −0.0993073 | − | 0.435609i | ||||
\(831\) | −807.185 | − | 1127.16i | −0.971341 | − | 1.35639i | ||||
\(832\) | 26.2818 | − | 26.2818i | 0.0315887 | − | 0.0315887i | ||||
\(833\) | −792.624 | + | 180.446i | −0.951530 | + | 0.216621i | ||||
\(834\) | −69.6281 | − | 709.192i | −0.0834870 | − | 0.850351i | ||||
\(835\) | 32.7461 | − | 17.2961i | 0.0392169 | − | 0.0207139i | ||||
\(836\) | 22.4692 | − | 38.9178i | 0.0268770 | − | 0.0465524i | ||||
\(837\) | −663.961 | − | 1069.95i | −0.793263 | − | 1.27831i | ||||
\(838\) | 6.64519 | − | 24.8002i | 0.00792982 | − | 0.0295945i | ||||
\(839\) | − | 815.151i | − | 0.971574i | −0.874077 | − | 0.485787i | \(-0.838533\pi\) | ||
0.874077 | − | 0.485787i | \(-0.161467\pi\) | |||||||
\(840\) | 218.477 | + | 201.166i | 0.260092 | + | 0.239483i | ||||
\(841\) | −362.753 | −0.431335 | ||||||||
\(842\) | 1016.95 | + | 272.492i | 1.20778 | + | 0.323625i | ||||
\(843\) | 283.505 | − | 106.604i | 0.336305 | − | 0.126458i | ||||
\(844\) | −515.347 | − | 297.536i | −0.610600 | − | 0.352530i | ||||
\(845\) | 704.271 | + | 217.437i | 0.833457 | + | 0.257322i | ||||
\(846\) | −172.584 | − | 870.448i | −0.204000 | − | 1.02890i | ||||
\(847\) | −19.1490 | − | 34.6703i | −0.0226080 | − | 0.0409331i | ||||
\(848\) | −91.4263 | − | 91.4263i | −0.107814 | − | 0.107814i | ||||
\(849\) | 672.305 | + | 938.813i | 0.791879 | + | 1.10579i | ||||
\(850\) | −484.453 | − | 330.659i | −0.569945 | − | 0.389011i | ||||
\(851\) | −480.763 | − | 277.569i | −0.564939 | − | 0.326167i | ||||
\(852\) | 489.342 | + | 80.9460i | 0.574345 | + | 0.0950070i | ||||
\(853\) | −827.157 | − | 827.157i | −0.969703 | − | 0.969703i | 0.0298515 | − | 0.999554i | \(-0.490497\pi\) |
−0.999554 | + | 0.0298515i | \(0.990497\pi\) | |||||||
\(854\) | −1120.61 | + | 277.584i | −1.31219 | + | 0.325040i | ||||
\(855\) | −55.2624 | + | 76.2216i | −0.0646344 | + | 0.0891481i | ||||
\(856\) | −187.136 | − | 324.129i | −0.218617 | − | 0.378655i | ||||
\(857\) | −342.201 | + | 91.6926i | −0.399301 | + | 0.106992i | −0.452881 | − | 0.891571i | \(-0.649604\pi\) |
0.0535793 | + | 0.998564i | \(0.482937\pi\) | |||||||
\(858\) | −198.149 | + | 74.5082i | −0.230943 | + | 0.0868393i | ||||
\(859\) | 86.7458 | + | 150.248i | 0.100985 | + | 0.174911i | 0.912091 | − | 0.409989i | \(-0.134467\pi\) |
−0.811106 | + | 0.584899i | \(0.801134\pi\) | |||||||
\(860\) | 17.2883 | − | 458.889i | 0.0201027 | − | 0.533592i | ||||
\(861\) | 293.272 | + | 827.263i | 0.340618 | + | 0.960817i | ||||
\(862\) | 289.357 | + | 289.357i | 0.335681 | + | 0.335681i | ||||
\(863\) | −125.039 | + | 466.653i | −0.144889 | + | 0.540733i | 0.854871 | + | 0.518840i | \(0.173636\pi\) |
−0.999760 | + | 0.0218929i | \(0.993031\pi\) | |||||||
\(864\) | −34.8204 | + | 148.713i | −0.0403013 | + | 0.172121i | ||||
\(865\) | 324.370 | − | 515.938i | 0.374994 | − | 0.596461i | ||||
\(866\) | −71.7806 | − | 124.328i | −0.0828875 | − | 0.143565i | ||||
\(867\) | −31.9380 | − | 26.2273i | −0.0368373 | − | 0.0302507i | ||||
\(868\) | 315.674 | + | 571.546i | 0.363680 | + | 0.658463i | ||||
\(869\) | −341.587 | −0.393081 | ||||||||
\(870\) | −454.514 | − | 92.8872i | −0.522430 | − | 0.106767i | ||||
\(871\) | 9.39774 | + | 5.42579i | 0.0107896 | + | 0.00622938i | ||||
\(872\) | −118.402 | − | 441.882i | −0.135782 | − | 0.506746i | ||||
\(873\) | 35.1962 | − | 531.953i | 0.0403163 | − | 0.609339i | ||||
\(874\) | −38.9143 | −0.0445243 | ||||||||
\(875\) | 694.742 | − | 531.938i | 0.793991 | − | 0.607929i | ||||
\(876\) | 54.0564 | + | 550.587i | 0.0617082 | + | 0.628524i | ||||
\(877\) | −46.1703 | + | 172.310i | −0.0526457 | + | 0.196476i | −0.987240 | − | 0.159239i | \(-0.949096\pi\) |
0.934594 | + | 0.355715i | \(0.115763\pi\) | |||||||
\(878\) | 283.927 | + | 1059.63i | 0.323380 | + | 1.20687i | ||||
\(879\) | −1001.73 | − | 454.252i | −1.13963 | − | 0.516782i | ||||
\(880\) | −205.236 | − | 63.3645i | −0.233222 | − | 0.0720051i | ||||
\(881\) | 254.392 | 0.288754 | 0.144377 | − | 0.989523i | \(-0.453882\pi\) | ||||
0.144377 | + | 0.989523i | \(0.453882\pi\) | |||||||
\(882\) | 569.573 | − | 254.064i | 0.645775 | − | 0.288054i | ||||
\(883\) | −565.378 | + | 565.378i | −0.640292 | + | 0.640292i | −0.950627 | − | 0.310335i | \(-0.899559\pi\) |
0.310335 | + | 0.950627i | \(0.399559\pi\) | |||||||
\(884\) | 77.0767 | + | 133.501i | 0.0871909 | + | 0.151019i | ||||
\(885\) | 127.301 | + | 63.6092i | 0.143842 | + | 0.0718748i | ||||
\(886\) | −262.189 | + | 454.125i | −0.295924 | + | 0.512556i | ||||
\(887\) | 217.132 | − | 810.348i | 0.244794 | − | 0.913583i | −0.728693 | − | 0.684840i | \(-0.759872\pi\) |
0.973487 | − | 0.228743i | \(-0.0734614\pi\) | |||||||
\(888\) | 276.785 | + | 227.295i | 0.311695 | + | 0.255962i | ||||
\(889\) | −415.718 | − | 431.806i | −0.467625 | − | 0.485721i | ||||
\(890\) | 41.8540 | − | 1110.94i | 0.0470269 | − | 1.24825i | ||||
\(891\) | 530.425 | − | 689.498i | 0.595314 | − | 0.773847i | ||||
\(892\) | −142.037 | − | 530.090i | −0.159235 | − | 0.594272i | ||||
\(893\) | −140.895 | + | 37.7527i | −0.157777 | + | 0.0422763i | ||||
\(894\) | 951.034 | − | 681.057i | 1.06380 | − | 0.761809i | ||||
\(895\) | 217.912 | + | 234.975i | 0.243478 | + | 0.262541i | ||||
\(896\) | 21.9455 | − | 76.0946i | 0.0244928 | − | 0.0849271i | ||||
\(897\) | 141.669 | + | 116.338i | 0.157937 | + | 0.129697i | ||||
\(898\) | −1062.10 | − | 284.589i | −1.18274 | − | 0.316914i | ||||
\(899\) | −883.271 | − | 509.957i | −0.982503 | − | 0.567249i | ||||
\(900\) | 413.918 | + | 176.555i | 0.459909 | + | 0.196173i | ||||
\(901\) | 464.409 | − | 268.126i | 0.515437 | − | 0.297588i | ||||
\(902\) | −448.874 | − | 448.874i | −0.497643 | − | 0.497643i | ||||
\(903\) | −870.552 | − | 414.862i | −0.964067 | − | 0.459426i | ||||
\(904\) | 61.0740i | 0.0675597i | ||||||||
\(905\) | 1460.05 | + | 450.776i | 1.61332 | + | 0.498095i | ||||
\(906\) | 467.620 | + | 212.050i | 0.516137 | + | 0.234051i | ||||
\(907\) | −1339.66 | + | 358.961i | −1.47702 | + | 0.395767i | −0.905333 | − | 0.424702i | \(-0.860379\pi\) |
−0.571690 | + | 0.820470i | \(0.693712\pi\) | |||||||
\(908\) | 128.797 | + | 34.5109i | 0.141846 | + | 0.0380076i | ||||
\(909\) | −325.523 | − | 1641.82i | −0.358112 | − | 1.80618i | ||||
\(910\) | −225.143 | + | 46.8503i | −0.247409 | + | 0.0514839i | ||||
\(911\) | − | 794.365i | − | 0.871970i | −0.899954 | − | 0.435985i | \(-0.856400\pi\) | ||
0.899954 | − | 0.435985i | \(-0.143600\pi\) | |||||||
\(912\) | 24.7693 | + | 4.09729i | 0.0271593 | + | 0.00449264i | ||||
\(913\) | 544.037 | − | 145.774i | 0.595879 | − | 0.159665i | ||||
\(914\) | 535.139 | − | 926.888i | 0.585491 | − | 1.01410i | ||||
\(915\) | −1459.56 | + | 964.222i | −1.59515 | + | 1.05380i | ||||
\(916\) | − | 88.1573i | − | 0.0962416i | ||||||
\(917\) | 578.815 | + | 1047.98i | 0.631205 | + | 1.14283i | ||||
\(918\) | −558.389 | − | 299.131i | −0.608267 | − | 0.325850i | ||||
\(919\) | 355.766 | − | 205.401i | 0.387123 | − | 0.223505i | −0.293790 | − | 0.955870i | \(-0.594917\pi\) |
0.680913 | + | 0.732365i | \(0.261583\pi\) | |||||||
\(920\) | 41.3425 | + | 181.348i | 0.0449375 | + | 0.197117i | ||||
\(921\) | 579.675 | + | 262.863i | 0.629397 | + | 0.285410i | ||||
\(922\) | −273.170 | − | 73.1956i | −0.296279 | − | 0.0793878i | ||||
\(923\) | −271.574 | + | 271.574i | −0.294229 | + | 0.294229i | ||||
\(924\) | −292.827 | + | 343.097i | −0.316912 | + | 0.371317i | ||||
\(925\) | 800.176 | − | 687.893i | 0.865055 | − | 0.743668i | ||||
\(926\) | −879.951 | + | 508.040i | −0.950271 | + | 0.548639i | ||||
\(927\) | −301.398 | − | 612.129i | −0.325133 | − | 0.660333i | ||||
\(928\) | 32.0182 | + | 119.494i | 0.0345024 | + | 0.128765i | ||||
\(929\) | 665.093 | − | 383.992i | 0.715924 | − | 0.413339i | −0.0973266 | − | 0.995252i | \(-0.531029\pi\) |
0.813251 | + | 0.581914i | \(0.197696\pi\) | |||||||
\(930\) | 740.393 | + | 656.203i | 0.796121 | + | 0.705594i | ||||
\(931\) | −47.8517 | − | 90.6625i | −0.0513982 | − | 0.0973818i | ||||
\(932\) | 43.2302 | − | 43.2302i | 0.0463843 | − | 0.0463843i | ||||
\(933\) | −176.647 | − | 29.2205i | −0.189332 | − | 0.0313189i | ||||
\(934\) | 183.912 | − | 318.545i | 0.196908 | − | 0.341055i | ||||
\(935\) | 474.157 | − | 754.187i | 0.507120 | − | 0.806617i | ||||
\(936\) | −77.9246 | − | 88.9668i | −0.0832527 | − | 0.0950499i | ||||
\(937\) | 756.171 | − | 756.171i | 0.807013 | − | 0.807013i | −0.177168 | − | 0.984181i | \(-0.556694\pi\) |
0.984181 | + | 0.177168i | \(0.0566935\pi\) | |||||||
\(938\) | 23.1179 | + | 0.438812i | 0.0246459 | + | 0.000467816i | ||||
\(939\) | 378.917 | − | 37.2019i | 0.403532 | − | 0.0396186i | ||||
\(940\) | 325.622 | + | 616.490i | 0.346406 | + | 0.655840i | ||||
\(941\) | 682.797 | − | 1182.64i | 0.725608 | − | 1.25679i | −0.233115 | − | 0.972449i | \(-0.574892\pi\) |
0.958723 | − | 0.284341i | \(-0.0917749\pi\) | |||||||
\(942\) | −358.191 | + | 134.687i | −0.380245 | + | 0.142980i | ||||
\(943\) | −142.274 | + | 530.975i | −0.150874 | + | 0.563070i | ||||
\(944\) | − | 37.9488i | − | 0.0402000i | ||||||
\(945\) | 684.605 | − | 651.415i | 0.724450 | − | 0.689328i | ||||
\(946\) | 697.468 | 0.737281 | ||||||||
\(947\) | 960.355 | + | 257.326i | 1.01410 | + | 0.271728i | 0.727343 | − | 0.686274i | \(-0.240755\pi\) |
0.286760 | + | 0.958002i | \(0.407422\pi\) | |||||||
\(948\) | −67.1667 | − | 178.625i | −0.0708509 | − | 0.188423i | ||||
\(949\) | −370.995 | − | 214.194i | −0.390933 | − | 0.225705i | ||||
\(950\) | 24.4662 | − | 69.8055i | 0.0257539 | − | 0.0734795i | ||||
\(951\) | −82.0174 | − | 835.382i | −0.0862433 | − | 0.878425i | ||||
\(952\) | 281.289 | + | 169.600i | 0.295472 | + | 0.178152i | ||||
\(953\) | 229.383 | + | 229.383i | 0.240696 | + | 0.240696i | 0.817138 | − | 0.576442i | \(-0.195559\pi\) |
−0.576442 | + | 0.817138i | \(0.695559\pi\) | |||||||
\(954\) | −309.488 | + | 271.076i | −0.324411 | + | 0.284147i | ||||
\(955\) | 116.963 | + | 513.056i | 0.122475 | + | 0.537232i | ||||
\(956\) | −370.222 | − | 213.748i | −0.387262 | − | 0.223586i | ||||
\(957\) | 114.990 | − | 695.150i | 0.120157 | − | 0.726385i | ||||
\(958\) | −645.692 | − | 645.692i | −0.674000 | − | 0.674000i | ||||
\(959\) | 63.3106 | + | 255.586i | 0.0660173 | + | 0.266513i | ||||
\(960\) | −7.22077 | − | 119.783i | −0.00752163 | − | 0.124773i | ||||
\(961\) | 607.037 | + | 1051.42i | 0.631672 | + | 1.09409i | ||||
\(962\) | −267.879 | + | 71.7781i | −0.278461 | + | 0.0746134i | ||||
\(963\) | −1068.43 | + | 526.073i | −1.10949 | + | 0.546286i | ||||
\(964\) | 73.4615 | + | 127.239i | 0.0762049 | + | 0.131991i | ||||
\(965\) | −585.462 | − | 22.0568i | −0.606696 | − | 0.0228568i | ||||
\(966\) | 384.085 | + | 71.0482i | 0.397604 | + | 0.0735489i | ||||
\(967\) | 44.7702 | + | 44.7702i | 0.0462980 | + | 0.0462980i | 0.729877 | − | 0.683579i | \(-0.239577\pi\) |
−0.683579 | + | 0.729877i | \(0.739577\pi\) | |||||||
\(968\) | −4.14205 | + | 15.4583i | −0.00427898 | + | 0.0159694i | ||||
\(969\) | −43.0028 | + | 94.8313i | −0.0443786 | + | 0.0978651i | ||||
\(970\) | 93.0994 | + | 408.378i | 0.0959788 | + | 0.421008i | ||||
\(971\) | −318.939 | − | 552.418i | −0.328464 | − | 0.568917i | 0.653743 | − | 0.756717i | \(-0.273198\pi\) |
−0.982207 | + | 0.187800i | \(0.939864\pi\) | |||||||
\(972\) | 464.855 | + | 141.797i | 0.478245 | + | 0.145881i | ||||
\(973\) | 1175.52 | + | 22.3132i | 1.20814 | + | 0.0229323i | ||||
\(974\) | 766.285 | 0.786740 | ||||||||
\(975\) | −297.761 | + | 180.986i | −0.305396 | + | 0.185627i | ||||
\(976\) | 403.983 | + | 233.240i | 0.413917 | + | 0.238975i | ||||
\(977\) | −71.7140 | − | 267.640i | −0.0734022 | − | 0.273941i | 0.919464 | − | 0.393174i | \(-0.128623\pi\) |
−0.992866 | + | 0.119233i | \(0.961956\pi\) | |||||||
\(978\) | −43.1938 | + | 261.119i | −0.0441655 | + | 0.266993i | ||||
\(979\) | 1688.53 | 1.72475 | ||||||||
\(980\) | −371.667 | + | 319.318i | −0.379252 | + | 0.325835i | ||||
\(981\) | −1427.87 | + | 283.103i | −1.45552 | + | 0.288586i | ||||
\(982\) | −242.893 | + | 906.489i | −0.247345 | + | 0.923105i | ||||
\(983\) | −190.845 | − | 712.244i | −0.194146 | − | 0.724562i | −0.992486 | − | 0.122355i | \(-0.960955\pi\) |
0.798341 | − | 0.602206i | \(-0.205711\pi\) | |||||||
\(984\) | 146.465 | − | 322.991i | 0.148847 | − | 0.328243i | ||||
\(985\) | 750.506 | + | 1420.91i | 0.761935 | + | 1.44255i | ||||
\(986\) | −513.079 | −0.520364 | ||||||||
\(987\) | 1459.57 | − | 115.380i | 1.47879 | − | 0.116900i | ||||
\(988\) | −13.7464 | + | 13.7464i | −0.0139134 | + | 0.0139134i | ||||
\(989\) | −301.985 | − | 523.053i | −0.305343 | − | 0.528870i | ||||
\(990\) | −244.299 | + | 638.320i | −0.246767 | + | 0.644768i | ||||
\(991\) | −74.5477 | + | 129.120i | −0.0752248 | + | 0.130293i | −0.901184 | − | 0.433437i | \(-0.857301\pi\) |
0.825959 | + | 0.563730i | \(0.190634\pi\) | |||||||
\(992\) | 68.2823 | − | 254.833i | 0.0688330 | − | 0.256888i | ||||
\(993\) | −284.770 | + | 346.775i | −0.286777 | + | 0.349219i | ||||
\(994\) | −226.766 | + | 786.298i | −0.228135 | + | 0.791044i | ||||
\(995\) | −365.501 | − | 394.119i | −0.367337 | − | 0.396099i | ||||
\(996\) | 183.204 | + | 255.828i | 0.183940 | + | 0.256855i | ||||
\(997\) | −220.477 | − | 822.830i | −0.221140 | − | 0.825306i | −0.983914 | − | 0.178641i | \(-0.942830\pi\) |
0.762774 | − | 0.646665i | \(-0.223837\pi\) | |||||||
\(998\) | −997.195 | + | 267.198i | −0.999193 | + | 0.267733i | ||||
\(999\) | 779.814 | − | 831.054i | 0.780595 | − | 0.831886i |
(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 | 210.3.w.a.17.11 | ✓ | 64 | |
3.2 | odd | 2 | 210.3.w.b.17.8 | yes | 64 | ||
5.3 | odd | 4 | 210.3.w.b.143.3 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.a.47.16 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.a.143.16 | yes | 64 | |
21.5 | even | 6 | 210.3.w.b.47.3 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.b.173.8 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.a.173.11 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.11 | ✓ | 64 | 1.1 | even | 1 | trivial | |
210.3.w.a.47.16 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.a.143.16 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.a.173.11 | yes | 64 | 105.68 | odd | 12 | inner | |
210.3.w.b.17.8 | yes | 64 | 3.2 | odd | 2 | ||
210.3.w.b.47.3 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.b.143.3 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.b.173.8 | yes | 64 | 35.33 | even | 12 |