Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(76,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bd (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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 76.14 | ||
Character | \(\chi\) | \(=\) | 429.76 |
Dual form | 429.2.bd.a.175.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.55489 | + | 0.684581i | 1.80658 | + | 0.484072i | 0.994974 | − | 0.100133i | \(-0.0319269\pi\) |
0.811606 | + | 0.584205i | \(0.198594\pi\) | |||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 4.32676 | + | 2.49806i | 2.16338 | + | 1.24903i | ||||
\(5\) | −2.81573 | − | 2.81573i | −1.25923 | − | 1.25923i | −0.951459 | − | 0.307776i | \(-0.900415\pi\) |
−0.307776 | − | 0.951459i | \(-0.599585\pi\) | |||||||
\(6\) | −0.684581 | − | 2.55489i | −0.279479 | − | 1.04303i | ||||
\(7\) | 2.71459 | − | 0.727372i | 1.02602 | − | 0.274921i | 0.293710 | − | 0.955895i | \(-0.405110\pi\) |
0.732308 | + | 0.680974i | \(0.238443\pi\) | |||||||
\(8\) | 5.60366 | + | 5.60366i | 1.98119 | + | 1.98119i | ||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | −5.26630 | − | 9.12149i | −1.66535 | − | 2.88447i | ||||
\(11\) | 1.75171 | − | 2.81629i | 0.528161 | − | 0.849144i | ||||
\(12\) | − | 4.99612i | − | 1.44225i | ||||||
\(13\) | 1.12646 | + | 3.42507i | 0.312425 | + | 0.949943i | ||||
\(14\) | 7.43342 | 1.98666 | ||||||||
\(15\) | −1.03063 | + | 3.84637i | −0.266108 | + | 0.993127i | ||||
\(16\) | 5.48447 | + | 9.49938i | 1.37112 | + | 2.37484i | ||||
\(17\) | −0.408347 | + | 0.707277i | −0.0990386 | + | 0.171540i | −0.911287 | − | 0.411772i | \(-0.864910\pi\) |
0.812248 | + | 0.583312i | \(0.198243\pi\) | |||||||
\(18\) | −1.87031 | + | 1.87031i | −0.440836 | + | 0.440836i | ||||
\(19\) | 0.0308856 | + | 0.115266i | 0.00708563 | + | 0.0264439i | 0.969378 | − | 0.245573i | \(-0.0789760\pi\) |
−0.962293 | + | 0.272017i | \(0.912309\pi\) | |||||||
\(20\) | −5.14915 | − | 19.2169i | −1.15138 | − | 4.29703i | ||||
\(21\) | −1.98722 | − | 1.98722i | −0.433646 | − | 0.433646i | ||||
\(22\) | 6.40341 | − | 5.99613i | 1.36521 | − | 1.27838i | ||||
\(23\) | −5.97852 | + | 3.45170i | −1.24661 | + | 0.719730i | −0.970431 | − | 0.241377i | \(-0.922401\pi\) |
−0.276177 | + | 0.961107i | \(0.589068\pi\) | |||||||
\(24\) | 2.05108 | − | 7.65475i | 0.418676 | − | 1.56252i | ||||
\(25\) | 10.8567i | 2.17135i | ||||||||
\(26\) | 0.533254 | + | 9.52182i | 0.104580 | + | 1.86738i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 13.5624 | + | 3.63403i | 2.56305 | + | 0.686768i | ||||
\(29\) | −4.48350 | + | 2.58855i | −0.832565 | + | 0.480681i | −0.854730 | − | 0.519073i | \(-0.826277\pi\) |
0.0221654 | + | 0.999754i | \(0.492944\pi\) | |||||||
\(30\) | −5.26630 | + | 9.12149i | −0.961490 | + | 1.66535i | ||||
\(31\) | −4.79316 | − | 4.79316i | −0.860876 | − | 0.860876i | 0.130564 | − | 0.991440i | \(-0.458321\pi\) |
−0.991440 | + | 0.130564i | \(0.958321\pi\) | |||||||
\(32\) | 3.40696 | + | 12.7149i | 0.602271 | + | 2.24771i | ||||
\(33\) | −3.31484 | − | 0.108880i | −0.577039 | − | 0.0189535i | ||||
\(34\) | −1.52747 | + | 1.52747i | −0.261959 | + | 0.261959i | ||||
\(35\) | −9.69165 | − | 5.59547i | −1.63819 | − | 0.945808i | ||||
\(36\) | −4.32676 | + | 2.49806i | −0.721127 | + | 0.416343i | ||||
\(37\) | 8.78532 | + | 2.35402i | 1.44430 | + | 0.386998i | 0.894037 | − | 0.447994i | \(-0.147861\pi\) |
0.550261 | + | 0.834992i | \(0.314528\pi\) | |||||||
\(38\) | 0.315637i | 0.0512031i | ||||||||
\(39\) | 2.40296 | − | 2.68808i | 0.384782 | − | 0.430437i | ||||
\(40\) | − | 31.5569i | − | 4.98958i | ||||||
\(41\) | −7.35389 | − | 1.97047i | −1.14849 | − | 0.307736i | −0.366127 | − | 0.930565i | \(-0.619317\pi\) |
−0.782358 | + | 0.622829i | \(0.785983\pi\) | |||||||
\(42\) | −3.71671 | − | 6.43753i | −0.573501 | − | 0.993332i | ||||
\(43\) | −1.75279 | + | 3.03593i | −0.267299 | + | 0.462975i | −0.968163 | − | 0.250319i | \(-0.919464\pi\) |
0.700865 | + | 0.713294i | \(0.252798\pi\) | |||||||
\(44\) | 14.6145 | − | 7.80956i | 2.20322 | − | 1.17734i | ||||
\(45\) | 3.84637 | − | 1.03063i | 0.573382 | − | 0.153637i | ||||
\(46\) | −17.6374 | + | 4.72594i | −2.60050 | + | 0.696802i | ||||
\(47\) | 1.67231 | − | 1.67231i | 0.243932 | − | 0.243932i | −0.574543 | − | 0.818474i | \(-0.694820\pi\) |
0.818474 | + | 0.574543i | \(0.194820\pi\) | |||||||
\(48\) | 5.48447 | − | 9.49938i | 0.791615 | − | 1.37112i | ||||
\(49\) | 0.777740 | − | 0.449028i | 0.111106 | − | 0.0641469i | ||||
\(50\) | −7.43231 | + | 27.7377i | −1.05109 | + | 3.92271i | ||||
\(51\) | 0.816693 | 0.114360 | ||||||||
\(52\) | −3.68208 | + | 17.6334i | −0.510612 | + | 2.44532i | ||||
\(53\) | 6.49016 | 0.891491 | 0.445746 | − | 0.895160i | \(-0.352939\pi\) | ||||
0.445746 | + | 0.895160i | \(0.352939\pi\) | |||||||
\(54\) | 2.55489 | + | 0.684581i | 0.347677 | + | 0.0931596i | ||||
\(55\) | −12.8623 | + | 2.99758i | −1.73435 | + | 0.404194i | ||||
\(56\) | 19.2876 | + | 11.1357i | 2.57741 | + | 1.48807i | ||||
\(57\) | 0.0843809 | − | 0.0843809i | 0.0111765 | − | 0.0111765i | ||||
\(58\) | −13.2269 | + | 3.54414i | −1.73678 | + | 0.465369i | ||||
\(59\) | 2.54445 | + | 9.49602i | 0.331259 | + | 1.23628i | 0.907868 | + | 0.419256i | \(0.137709\pi\) |
−0.576609 | + | 0.817020i | \(0.695624\pi\) | |||||||
\(60\) | −14.0677 | + | 14.0677i | −1.81614 | + | 1.81614i | ||||
\(61\) | −1.23600 | − | 0.713606i | −0.158254 | − | 0.0913679i | 0.418782 | − | 0.908087i | \(-0.362457\pi\) |
−0.577036 | + | 0.816719i | \(0.695791\pi\) | |||||||
\(62\) | −8.96468 | − | 15.5273i | −1.13852 | − | 1.97197i | ||||
\(63\) | −0.727372 | + | 2.71459i | −0.0916402 | + | 0.342006i | ||||
\(64\) | 12.8797i | 1.60997i | ||||||||
\(65\) | 6.47226 | − | 12.8159i | 0.802785 | − | 1.58962i | ||||
\(66\) | −8.39451 | − | 2.54745i | −1.03329 | − | 0.313569i | ||||
\(67\) | −1.73257 | + | 6.46604i | −0.211667 | + | 0.789953i | 0.775646 | + | 0.631168i | \(0.217424\pi\) |
−0.987313 | + | 0.158785i | \(0.949242\pi\) | |||||||
\(68\) | −3.53364 | + | 2.04015i | −0.428517 | + | 0.247404i | ||||
\(69\) | 5.97852 | + | 3.45170i | 0.719730 | + | 0.415536i | ||||
\(70\) | −20.9305 | − | 20.9305i | −2.50168 | − | 2.50168i | ||||
\(71\) | 2.79924 | − | 0.750055i | 0.332209 | − | 0.0890152i | −0.0888589 | − | 0.996044i | \(-0.528322\pi\) |
0.421068 | + | 0.907029i | \(0.361655\pi\) | |||||||
\(72\) | −7.65475 | + | 2.05108i | −0.902121 | + | 0.241722i | ||||
\(73\) | −0.797494 | − | 0.797494i | −0.0933396 | − | 0.0933396i | 0.658895 | − | 0.752235i | \(-0.271024\pi\) |
−0.752235 | + | 0.658895i | \(0.771024\pi\) | |||||||
\(74\) | 20.8340 | + | 12.0285i | 2.42191 | + | 1.39829i | ||||
\(75\) | 9.40220 | − | 5.42836i | 1.08567 | − | 0.626813i | ||||
\(76\) | −0.154308 | + | 0.575885i | −0.0177003 | + | 0.0660585i | ||||
\(77\) | 2.70668 | − | 8.91922i | 0.308455 | − | 1.01644i | ||||
\(78\) | 7.97951 | − | 5.22272i | 0.903502 | − | 0.591357i | ||||
\(79\) | − | 7.81765i | − | 0.879554i | −0.898107 | − | 0.439777i | \(-0.855057\pi\) | ||
0.898107 | − | 0.439777i | \(-0.144943\pi\) | |||||||
\(80\) | 11.3049 | − | 42.1905i | 1.26393 | − | 4.71705i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −17.4394 | − | 10.0687i | −1.92586 | − | 1.11190i | ||||
\(83\) | 10.4366 | − | 10.4366i | 1.14557 | − | 1.14557i | 0.158156 | − | 0.987414i | \(-0.449445\pi\) |
0.987414 | − | 0.158156i | \(-0.0505550\pi\) | |||||||
\(84\) | −3.63403 | − | 13.5624i | −0.396505 | − | 1.47978i | ||||
\(85\) | 3.14130 | − | 0.841709i | 0.340722 | − | 0.0912962i | ||||
\(86\) | −6.55654 | + | 6.55654i | −0.707009 | + | 0.707009i | ||||
\(87\) | 4.48350 | + | 2.58855i | 0.480681 | + | 0.277522i | ||||
\(88\) | 25.5976 | − | 5.96556i | 2.72871 | − | 0.635931i | ||||
\(89\) | −9.16067 | − | 2.45459i | −0.971029 | − | 0.260186i | −0.261767 | − | 0.965131i | \(-0.584305\pi\) |
−0.709262 | + | 0.704945i | \(0.750972\pi\) | |||||||
\(90\) | 10.5326 | 1.11023 | ||||||||
\(91\) | 5.54918 | + | 8.47829i | 0.581712 | + | 0.888766i | ||||
\(92\) | −34.4902 | −3.59585 | ||||||||
\(93\) | −1.75442 | + | 6.54757i | −0.181925 | + | 0.678952i | ||||
\(94\) | 5.41740 | − | 3.12774i | 0.558762 | − | 0.322602i | ||||
\(95\) | 0.237594 | − | 0.411525i | 0.0243767 | − | 0.0422216i | ||||
\(96\) | 9.30798 | − | 9.30798i | 0.949992 | − | 0.949992i | ||||
\(97\) | 4.41716 | − | 1.18358i | 0.448495 | − | 0.120174i | −0.0275001 | − | 0.999622i | \(-0.508755\pi\) |
0.475995 | + | 0.879448i | \(0.342088\pi\) | |||||||
\(98\) | 2.29444 | − | 0.614792i | 0.231773 | − | 0.0621034i | ||||
\(99\) | 1.56313 | + | 2.92517i | 0.157100 | + | 0.293991i | ||||
\(100\) | −27.1207 | + | 46.9745i | −2.71207 | + | 4.69745i | ||||
\(101\) | 6.30737 | + | 10.9247i | 0.627607 | + | 1.08705i | 0.988031 | + | 0.154258i | \(0.0492988\pi\) |
−0.360424 | + | 0.932789i | \(0.617368\pi\) | |||||||
\(102\) | 2.08656 | + | 0.559093i | 0.206600 | + | 0.0553584i | ||||
\(103\) | − | 2.12584i | − | 0.209465i | −0.994500 | − | 0.104733i | \(-0.966601\pi\) | ||
0.994500 | − | 0.104733i | \(-0.0333987\pi\) | |||||||
\(104\) | −12.8806 | + | 25.5052i | −1.26305 | + | 2.50099i | ||||
\(105\) | 11.1909i | 1.09212i | ||||||||
\(106\) | 16.5816 | + | 4.44304i | 1.61055 | + | 0.431546i | ||||
\(107\) | 4.65789 | − | 2.68924i | 0.450296 | − | 0.259978i | −0.257659 | − | 0.966236i | \(-0.582951\pi\) |
0.707955 | + | 0.706258i | \(0.249618\pi\) | |||||||
\(108\) | 4.32676 | + | 2.49806i | 0.416343 | + | 0.240376i | ||||
\(109\) | −0.373883 | + | 0.373883i | −0.0358115 | + | 0.0358115i | −0.724786 | − | 0.688974i | \(-0.758061\pi\) |
0.688974 | + | 0.724786i | \(0.258061\pi\) | |||||||
\(110\) | −34.9138 | − | 1.14678i | −3.32890 | − | 0.109342i | ||||
\(111\) | −2.35402 | − | 8.78532i | −0.223434 | − | 0.833866i | ||||
\(112\) | 21.7977 | + | 21.7977i | 2.05968 | + | 2.05968i | ||||
\(113\) | −4.55532 | + | 7.89004i | −0.428528 | + | 0.742232i | −0.996743 | − | 0.0806480i | \(-0.974301\pi\) |
0.568215 | + | 0.822880i | \(0.307634\pi\) | |||||||
\(114\) | 0.273350 | − | 0.157818i | 0.0256015 | − | 0.0147810i | ||||
\(115\) | 26.5530 | + | 7.11486i | 2.47608 | + | 0.663464i | ||||
\(116\) | −25.8654 | −2.40154 | ||||||||
\(117\) | −3.52943 | − | 0.736988i | −0.326296 | − | 0.0681346i | ||||
\(118\) | 26.0032i | 2.39379i | ||||||||
\(119\) | −0.594040 | + | 2.21699i | −0.0544555 | + | 0.203231i | ||||
\(120\) | −27.3290 | + | 15.7784i | −2.49479 | + | 1.44037i | ||||
\(121\) | −4.86302 | − | 9.86666i | −0.442092 | − | 0.896969i | ||||
\(122\) | −2.66933 | − | 2.66933i | −0.241670 | − | 0.241670i | ||||
\(123\) | 1.97047 | + | 7.35389i | 0.177671 | + | 0.663078i | ||||
\(124\) | −8.76527 | − | 32.7124i | −0.787144 | − | 2.93766i | ||||
\(125\) | 16.4910 | − | 16.4910i | 1.47500 | − | 1.47500i | ||||
\(126\) | −3.71671 | + | 6.43753i | −0.331111 | + | 0.573501i | ||||
\(127\) | −7.31704 | − | 12.6735i | −0.649282 | − | 1.12459i | −0.983295 | − | 0.182021i | \(-0.941736\pi\) |
0.334012 | − | 0.942569i | \(-0.391597\pi\) | |||||||
\(128\) | −2.00331 | + | 7.47645i | −0.177069 | + | 0.660831i | ||||
\(129\) | 3.50559 | 0.308650 | ||||||||
\(130\) | 25.3094 | − | 28.3124i | 2.21978 | − | 2.48316i | ||||
\(131\) | 2.60548i | 0.227642i | 0.993501 | + | 0.113821i | \(0.0363090\pi\) | ||||
−0.993501 | + | 0.113821i | \(0.963691\pi\) | |||||||
\(132\) | −14.0705 | − | 8.75175i | −1.22468 | − | 0.761742i | ||||
\(133\) | 0.167683 | + | 0.290436i | 0.0145400 | + | 0.0251840i | ||||
\(134\) | −8.85306 | + | 15.3339i | −0.764788 | + | 1.32465i | ||||
\(135\) | −2.81573 | − | 2.81573i | −0.242340 | − | 0.242340i | ||||
\(136\) | −6.25158 | + | 1.67511i | −0.536069 | + | 0.143639i | ||||
\(137\) | −1.82717 | − | 6.81910i | −0.156106 | − | 0.582595i | −0.999008 | − | 0.0445282i | \(-0.985822\pi\) |
0.842902 | − | 0.538067i | \(-0.180845\pi\) | |||||||
\(138\) | 12.9115 | + | 12.9115i | 1.09910 | + | 1.09910i | ||||
\(139\) | 1.13614 | + | 0.655949i | 0.0963659 | + | 0.0556369i | 0.547408 | − | 0.836866i | \(-0.315614\pi\) |
−0.451043 | + | 0.892502i | \(0.648948\pi\) | |||||||
\(140\) | −27.9556 | − | 48.4206i | −2.36268 | − | 4.09229i | ||||
\(141\) | −2.28442 | − | 0.612108i | −0.192383 | − | 0.0515488i | ||||
\(142\) | 7.66524 | 0.643252 | ||||||||
\(143\) | 11.6192 | + | 2.82728i | 0.971649 | + | 0.236429i | ||||
\(144\) | −10.9689 | −0.914078 | ||||||||
\(145\) | 19.9130 | + | 5.33567i | 1.65369 | + | 0.443104i | ||||
\(146\) | −1.49156 | − | 2.58346i | −0.123442 | − | 0.213809i | ||||
\(147\) | −0.777740 | − | 0.449028i | −0.0641469 | − | 0.0370352i | ||||
\(148\) | 32.1315 | + | 32.1315i | 2.64120 | + | 2.64120i | ||||
\(149\) | −5.48577 | − | 20.4732i | −0.449412 | − | 1.67723i | −0.704018 | − | 0.710182i | \(-0.748613\pi\) |
0.254607 | − | 0.967045i | \(-0.418054\pi\) | |||||||
\(150\) | 27.7377 | − | 7.43231i | 2.26478 | − | 0.606845i | ||||
\(151\) | 3.06814 | + | 3.06814i | 0.249682 | + | 0.249682i | 0.820840 | − | 0.571158i | \(-0.193506\pi\) |
−0.571158 | + | 0.820840i | \(0.693506\pi\) | |||||||
\(152\) | −0.472842 | + | 0.818987i | −0.0383526 | + | 0.0664286i | ||||
\(153\) | −0.408347 | − | 0.707277i | −0.0330129 | − | 0.0571800i | ||||
\(154\) | 13.0212 | − | 20.9347i | 1.04928 | − | 1.68697i | ||||
\(155\) | 26.9925i | 2.16809i | ||||||||
\(156\) | 17.1120 | − | 5.62794i | 1.37006 | − | 0.450596i | ||||
\(157\) | −19.9044 | −1.58855 | −0.794273 | − | 0.607561i | \(-0.792148\pi\) | ||||
−0.794273 | + | 0.607561i | \(0.792148\pi\) | |||||||
\(158\) | 5.35181 | − | 19.9732i | 0.425767 | − | 1.58899i | ||||
\(159\) | −3.24508 | − | 5.62064i | −0.257351 | − | 0.445746i | ||||
\(160\) | 26.2088 | − | 45.3950i | 2.07199 | − | 3.58879i | ||||
\(161\) | −13.7186 | + | 13.7186i | −1.08117 | + | 1.08117i | ||||
\(162\) | −0.684581 | − | 2.55489i | −0.0537857 | − | 0.200731i | ||||
\(163\) | 2.48382 | + | 9.26976i | 0.194548 | + | 0.726063i | 0.992383 | + | 0.123188i | \(0.0393118\pi\) |
−0.797835 | + | 0.602875i | \(0.794022\pi\) | |||||||
\(164\) | −26.8962 | − | 26.8962i | −2.10024 | − | 2.10024i | ||||
\(165\) | 9.02713 | + | 9.64028i | 0.702761 | + | 0.750495i | ||||
\(166\) | 33.8092 | − | 19.5198i | 2.62410 | − | 1.51503i | ||||
\(167\) | −0.311080 | + | 1.16097i | −0.0240721 | + | 0.0898384i | −0.976917 | − | 0.213620i | \(-0.931475\pi\) |
0.952845 | + | 0.303458i | \(0.0981413\pi\) | |||||||
\(168\) | − | 22.2714i | − | 1.71827i | ||||||
\(169\) | −10.4622 | + | 7.71642i | −0.804782 | + | 0.593571i | ||||
\(170\) | 8.60190 | 0.659735 | ||||||||
\(171\) | −0.115266 | − | 0.0308856i | −0.00881465 | − | 0.00236188i | ||||
\(172\) | −15.1678 | + | 8.75716i | −1.15654 | + | 0.667727i | ||||
\(173\) | 8.81361 | − | 15.2656i | 0.670086 | − | 1.16062i | −0.307793 | − | 0.951453i | \(-0.599591\pi\) |
0.977879 | − | 0.209170i | \(-0.0670762\pi\) | |||||||
\(174\) | 9.68277 | + | 9.68277i | 0.734049 | + | 0.734049i | ||||
\(175\) | 7.89687 | + | 29.4715i | 0.596948 | + | 2.22784i | ||||
\(176\) | 36.3602 | + | 1.19429i | 2.74076 | + | 0.0900232i | ||||
\(177\) | 6.95157 | − | 6.95157i | 0.522512 | − | 0.522512i | ||||
\(178\) | −21.7241 | − | 12.5424i | −1.62829 | − | 0.940095i | ||||
\(179\) | −6.88752 | + | 3.97651i | −0.514797 | + | 0.297218i | −0.734803 | − | 0.678280i | \(-0.762726\pi\) |
0.220006 | + | 0.975499i | \(0.429392\pi\) | |||||||
\(180\) | 19.2169 | + | 5.14915i | 1.43234 | + | 0.383795i | ||||
\(181\) | − | 5.97345i | − | 0.444003i | −0.975046 | − | 0.222002i | \(-0.928741\pi\) | ||
0.975046 | − | 0.222002i | \(-0.0712591\pi\) | |||||||
\(182\) | 8.37347 | + | 25.4600i | 0.620683 | + | 1.88722i | ||||
\(183\) | 1.42721i | 0.105503i | ||||||||
\(184\) | −52.8438 | − | 14.1595i | −3.89570 | − | 1.04385i | ||||
\(185\) | −18.1088 | − | 31.3654i | −1.33139 | − | 2.30603i | ||||
\(186\) | −8.96468 | + | 15.5273i | −0.657323 | + | 1.13852i | ||||
\(187\) | 1.27659 | + | 2.38897i | 0.0933539 | + | 0.174699i | ||||
\(188\) | 11.4132 | − | 3.05816i | 0.832394 | − | 0.223039i | ||||
\(189\) | 2.71459 | − | 0.727372i | 0.197457 | − | 0.0529085i | ||||
\(190\) | 0.888750 | − | 0.888750i | 0.0644767 | − | 0.0644767i | ||||
\(191\) | 4.61065 | − | 7.98588i | 0.333615 | − | 0.577838i | −0.649603 | − | 0.760274i | \(-0.725065\pi\) |
0.983218 | + | 0.182436i | \(0.0583982\pi\) | |||||||
\(192\) | 11.1542 | − | 6.43987i | 0.804984 | − | 0.464758i | ||||
\(193\) | 2.59810 | − | 9.69626i | 0.187016 | − | 0.697952i | −0.807174 | − | 0.590313i | \(-0.799004\pi\) |
0.994190 | − | 0.107639i | \(-0.0343290\pi\) | |||||||
\(194\) | 12.0956 | 0.868415 | ||||||||
\(195\) | −14.3350 | + | 0.802809i | −1.02655 | + | 0.0574904i | ||||
\(196\) | 4.48679 | 0.320485 | ||||||||
\(197\) | −13.0682 | − | 3.50161i | −0.931071 | − | 0.249480i | −0.238760 | − | 0.971079i | \(-0.576741\pi\) |
−0.692311 | + | 0.721599i | \(0.743407\pi\) | |||||||
\(198\) | 1.99110 | + | 8.54358i | 0.141501 | + | 0.607166i | ||||
\(199\) | 5.01054 | + | 2.89284i | 0.355188 | + | 0.205068i | 0.666968 | − | 0.745087i | \(-0.267592\pi\) |
−0.311780 | + | 0.950154i | \(0.600925\pi\) | |||||||
\(200\) | −60.8374 | + | 60.8374i | −4.30186 | + | 4.30186i | ||||
\(201\) | 6.46604 | − | 1.73257i | 0.456080 | − | 0.122206i | ||||
\(202\) | 8.63581 | + | 32.2293i | 0.607613 | + | 2.26764i | ||||
\(203\) | −10.2880 | + | 10.2880i | −0.722077 | + | 0.722077i | ||||
\(204\) | 3.53364 | + | 2.04015i | 0.247404 | + | 0.142839i | ||||
\(205\) | 15.1583 | + | 26.2549i | 1.05870 | + | 1.83372i | ||||
\(206\) | 1.45531 | − | 5.43129i | 0.101396 | − | 0.378416i | ||||
\(207\) | − | 6.90341i | − | 0.479820i | ||||||
\(208\) | −26.3580 | + | 29.4854i | −1.82760 | + | 2.04444i | ||||
\(209\) | 0.378727 | + | 0.114931i | 0.0261971 | + | 0.00794993i | ||||
\(210\) | −7.66111 | + | 28.5916i | −0.528667 | + | 1.97301i | ||||
\(211\) | 10.8534 | − | 6.26619i | 0.747177 | − | 0.431383i | −0.0774962 | − | 0.996993i | \(-0.524693\pi\) |
0.824673 | + | 0.565610i | \(0.191359\pi\) | |||||||
\(212\) | 28.0814 | + | 16.2128i | 1.92864 | + | 1.11350i | ||||
\(213\) | −2.04919 | − | 2.04919i | −0.140408 | − | 0.140408i | ||||
\(214\) | 13.7414 | − | 3.68200i | 0.939343 | − | 0.251696i | ||||
\(215\) | 13.4838 | − | 3.61297i | 0.919586 | − | 0.246402i | ||||
\(216\) | 5.60366 | + | 5.60366i | 0.381281 | + | 0.381281i | ||||
\(217\) | −16.4978 | − | 9.52504i | −1.11995 | − | 0.646602i | ||||
\(218\) | −1.21118 | + | 0.699278i | −0.0820318 | + | 0.0473611i | ||||
\(219\) | −0.291903 | + | 1.08940i | −0.0197250 | + | 0.0736146i | ||||
\(220\) | −63.1402 | − | 19.1609i | −4.25691 | − | 1.29183i | ||||
\(221\) | −2.88246 | − | 0.601893i | −0.193895 | − | 0.0404877i | ||||
\(222\) | − | 24.0570i | − | 1.61460i | ||||||
\(223\) | −0.423718 | + | 1.58134i | −0.0283743 | + | 0.105894i | −0.978661 | − | 0.205483i | \(-0.934124\pi\) |
0.950286 | + | 0.311377i | \(0.100790\pi\) | |||||||
\(224\) | 18.4970 | + | 32.0377i | 1.23588 | + | 2.14061i | ||||
\(225\) | −9.40220 | − | 5.42836i | −0.626813 | − | 0.361891i | ||||
\(226\) | −17.0397 | + | 17.0397i | −1.13346 | + | 1.13346i | ||||
\(227\) | 0.708986 | + | 2.64597i | 0.0470571 | + | 0.175619i | 0.985455 | − | 0.169938i | \(-0.0543566\pi\) |
−0.938398 | + | 0.345557i | \(0.887690\pi\) | |||||||
\(228\) | 0.575885 | − | 0.154308i | 0.0381389 | − | 0.0102193i | ||||
\(229\) | −6.94408 | + | 6.94408i | −0.458877 | + | 0.458877i | −0.898287 | − | 0.439409i | \(-0.855188\pi\) |
0.439409 | + | 0.898287i | \(0.355188\pi\) | |||||||
\(230\) | 62.9694 | + | 36.3554i | 4.15208 | + | 2.39720i | ||||
\(231\) | −9.07761 | + | 2.11556i | −0.597263 | + | 0.139193i | ||||
\(232\) | −39.6294 | − | 10.6187i | −2.60180 | − | 0.697149i | ||||
\(233\) | −7.03002 | −0.460552 | −0.230276 | − | 0.973125i | \(-0.573963\pi\) | ||||
−0.230276 | + | 0.973125i | \(0.573963\pi\) | |||||||
\(234\) | −8.51277 | − | 4.29910i | −0.556497 | − | 0.281041i | ||||
\(235\) | −9.41756 | −0.614334 | ||||||||
\(236\) | −12.7124 | + | 47.4432i | −0.827505 | + | 3.08829i | ||||
\(237\) | −6.77028 | + | 3.90882i | −0.439777 | + | 0.253905i | ||||
\(238\) | −3.03541 | + | 5.25749i | −0.196757 | + | 0.340792i | ||||
\(239\) | 4.57865 | − | 4.57865i | 0.296168 | − | 0.296168i | −0.543343 | − | 0.839511i | \(-0.682842\pi\) |
0.839511 | + | 0.543343i | \(0.182842\pi\) | |||||||
\(240\) | −42.1905 | + | 11.3049i | −2.72339 | + | 0.729730i | ||||
\(241\) | −4.40873 | + | 1.18132i | −0.283991 | + | 0.0760952i | −0.398003 | − | 0.917384i | \(-0.630297\pi\) |
0.114012 | + | 0.993479i | \(0.463630\pi\) | |||||||
\(242\) | −5.66995 | − | 28.5374i | −0.364478 | − | 1.83445i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −3.56526 | − | 6.17521i | −0.228242 | − | 0.395327i | ||||
\(245\) | −3.45425 | − | 0.925565i | −0.220684 | − | 0.0591322i | ||||
\(246\) | 20.1373i | 1.28391i | ||||||||
\(247\) | −0.360004 | + | 0.235628i | −0.0229065 | + | 0.0149927i | ||||
\(248\) | − | 53.7185i | − | 3.41113i | ||||||
\(249\) | −14.2567 | − | 3.82008i | −0.903483 | − | 0.242088i | ||||
\(250\) | 53.4221 | − | 30.8433i | 3.37871 | − | 1.95070i | ||||
\(251\) | 20.7729 | + | 11.9932i | 1.31117 | + | 0.757006i | 0.982291 | − | 0.187364i | \(-0.0599945\pi\) |
0.328883 | + | 0.944371i | \(0.393328\pi\) | |||||||
\(252\) | −9.92836 | + | 9.92836i | −0.625428 | + | 0.625428i | ||||
\(253\) | −0.751640 | + | 22.8837i | −0.0472552 | + | 1.43868i | ||||
\(254\) | −10.0182 | − | 37.3885i | −0.628598 | − | 2.34596i | ||||
\(255\) | −2.29959 | − | 2.29959i | −0.144006 | − | 0.144006i | ||||
\(256\) | 2.64327 | − | 4.57829i | 0.165205 | − | 0.286143i | ||||
\(257\) | 23.3640 | − | 13.4892i | 1.45741 | − | 0.841435i | 0.458525 | − | 0.888681i | \(-0.348378\pi\) |
0.998883 | + | 0.0472459i | \(0.0150444\pi\) | |||||||
\(258\) | 8.95639 | + | 2.39986i | 0.557601 | + | 0.149409i | ||||
\(259\) | 25.5608 | 1.58827 | ||||||||
\(260\) | 60.0188 | − | 39.2833i | 3.72221 | − | 2.43625i | ||||
\(261\) | − | 5.17710i | − | 0.320454i | ||||||
\(262\) | −1.78366 | + | 6.65671i | −0.110195 | + | 0.411253i | ||||
\(263\) | −7.74890 | + | 4.47383i | −0.477818 | + | 0.275868i | −0.719507 | − | 0.694486i | \(-0.755632\pi\) |
0.241689 | + | 0.970354i | \(0.422299\pi\) | |||||||
\(264\) | −17.9651 | − | 19.1854i | −1.10568 | − | 1.18078i | ||||
\(265\) | −18.2746 | − | 18.2746i | −1.12260 | − | 1.12260i | ||||
\(266\) | 0.229585 | + | 0.856824i | 0.0140768 | + | 0.0525352i | ||||
\(267\) | 2.45459 | + | 9.16067i | 0.150219 | + | 0.560624i | ||||
\(268\) | −23.6490 | + | 23.6490i | −1.44459 | + | 1.44459i | ||||
\(269\) | −2.66175 | + | 4.61028i | −0.162290 | + | 0.281094i | −0.935689 | − | 0.352825i | \(-0.885221\pi\) |
0.773400 | + | 0.633919i | \(0.218555\pi\) | |||||||
\(270\) | −5.26630 | − | 9.12149i | −0.320497 | − | 0.555116i | ||||
\(271\) | 1.81101 | − | 6.75877i | 0.110011 | − | 0.410566i | −0.888855 | − | 0.458189i | \(-0.848498\pi\) |
0.998865 | + | 0.0476236i | \(0.0151648\pi\) | |||||||
\(272\) | −8.95826 | −0.543174 | ||||||||
\(273\) | 4.56782 | − | 9.04487i | 0.276457 | − | 0.547421i | ||||
\(274\) | − | 18.6729i | − | 1.12807i | ||||||
\(275\) | 30.5757 | + | 19.0178i | 1.84379 | + | 1.14682i | ||||
\(276\) | 17.2451 | + | 29.8694i | 1.03803 | + | 1.79793i | ||||
\(277\) | 14.7494 | − | 25.5466i | 0.886203 | − | 1.53495i | 0.0418738 | − | 0.999123i | \(-0.486667\pi\) |
0.844329 | − | 0.535825i | \(-0.179999\pi\) | |||||||
\(278\) | 2.45366 | + | 2.45366i | 0.147160 | + | 0.147160i | ||||
\(279\) | 6.54757 | − | 1.75442i | 0.391993 | − | 0.105034i | ||||
\(280\) | −22.9536 | − | 85.6639i | −1.37174 | − | 5.11940i | ||||
\(281\) | 12.7578 | + | 12.7578i | 0.761069 | + | 0.761069i | 0.976516 | − | 0.215447i | \(-0.0691208\pi\) |
−0.215447 | + | 0.976516i | \(0.569121\pi\) | |||||||
\(282\) | −5.41740 | − | 3.12774i | −0.322602 | − | 0.186254i | ||||
\(283\) | 7.55896 | + | 13.0925i | 0.449334 | + | 0.778269i | 0.998343 | − | 0.0575475i | \(-0.0183281\pi\) |
−0.549009 | + | 0.835816i | \(0.684995\pi\) | |||||||
\(284\) | 13.9853 | + | 3.74736i | 0.829878 | + | 0.222365i | ||||
\(285\) | −0.475189 | −0.0281477 | ||||||||
\(286\) | 27.7504 | + | 15.1777i | 1.64091 | + | 0.897475i | ||||
\(287\) | −21.3961 | −1.26297 | ||||||||
\(288\) | −12.7149 | − | 3.40696i | −0.749235 | − | 0.200757i | ||||
\(289\) | 8.16651 | + | 14.1448i | 0.480383 | + | 0.832047i | ||||
\(290\) | 47.2229 | + | 27.2641i | 2.77302 | + | 1.60100i | ||||
\(291\) | −3.23359 | − | 3.23359i | −0.189556 | − | 0.189556i | ||||
\(292\) | −1.45838 | − | 5.44275i | −0.0853453 | − | 0.318513i | ||||
\(293\) | −24.4514 | + | 6.55174i | −1.42847 | + | 0.382757i | −0.888479 | − | 0.458916i | \(-0.848238\pi\) |
−0.539988 | + | 0.841673i | \(0.681571\pi\) | |||||||
\(294\) | −1.67964 | − | 1.67964i | −0.0979588 | − | 0.0979588i | ||||
\(295\) | 19.5738 | − | 33.9028i | 1.13963 | − | 1.97390i | ||||
\(296\) | 36.0388 | + | 62.4211i | 2.09472 | + | 3.62815i | ||||
\(297\) | 1.75171 | − | 2.81629i | 0.101645 | − | 0.163418i | ||||
\(298\) | − | 56.0621i | − | 3.24759i | ||||||
\(299\) | −18.5569 | − | 16.5886i | −1.07317 | − | 0.959345i | ||||
\(300\) | 54.2415 | 3.13163 | ||||||||
\(301\) | −2.54987 | + | 9.51623i | −0.146972 | + | 0.548506i | ||||
\(302\) | 5.73837 | + | 9.93915i | 0.330206 | + | 0.571934i | ||||
\(303\) | 6.30737 | − | 10.9247i | 0.362349 | − | 0.627607i | ||||
\(304\) | −0.925569 | + | 0.925569i | −0.0530850 | + | 0.0530850i | ||||
\(305\) | 1.47093 | + | 5.48958i | 0.0842251 | + | 0.314332i | ||||
\(306\) | −0.559093 | − | 2.08656i | −0.0319612 | − | 0.119281i | ||||
\(307\) | −1.98011 | − | 1.98011i | −0.113011 | − | 0.113011i | 0.648340 | − | 0.761351i | \(-0.275464\pi\) |
−0.761351 | + | 0.648340i | \(0.775464\pi\) | |||||||
\(308\) | 33.9919 | − | 31.8299i | 1.93687 | − | 1.81368i | ||||
\(309\) | −1.84103 | + | 1.06292i | −0.104733 | + | 0.0604674i | ||||
\(310\) | −18.4786 | + | 68.9629i | −1.04951 | + | 3.91683i | ||||
\(311\) | 26.2148i | 1.48651i | 0.669010 | + | 0.743253i | \(0.266718\pi\) | ||||
−0.669010 | + | 0.743253i | \(0.733282\pi\) | |||||||
\(312\) | 28.5285 | − | 1.59769i | 1.61511 | − | 0.0904514i | ||||
\(313\) | −12.2846 | −0.694366 | −0.347183 | − | 0.937797i | \(-0.612862\pi\) | ||||
−0.347183 | + | 0.937797i | \(0.612862\pi\) | |||||||
\(314\) | −50.8536 | − | 13.6262i | −2.86984 | − | 0.768970i | ||||
\(315\) | 9.69165 | − | 5.59547i | 0.546062 | − | 0.315269i | ||||
\(316\) | 19.5289 | − | 33.8251i | 1.09859 | − | 1.90281i | ||||
\(317\) | −12.9242 | − | 12.9242i | −0.725898 | − | 0.725898i | 0.243902 | − | 0.969800i | \(-0.421573\pi\) |
−0.969800 | + | 0.243902i | \(0.921573\pi\) | |||||||
\(318\) | −4.44304 | − | 16.5816i | −0.249153 | − | 0.929852i | ||||
\(319\) | −0.563680 | + | 17.1612i | −0.0315600 | + | 0.960845i | ||||
\(320\) | 36.2660 | − | 36.2660i | 2.02733 | − | 2.02733i | ||||
\(321\) | −4.65789 | − | 2.68924i | −0.259978 | − | 0.150099i | ||||
\(322\) | −44.4409 | + | 25.6580i | −2.47659 | + | 1.42986i | ||||
\(323\) | −0.0941374 | − | 0.0252240i | −0.00523794 | − | 0.00140350i | ||||
\(324\) | − | 4.99612i | − | 0.277562i | ||||||
\(325\) | −37.1850 | + | 12.2297i | −2.06265 | + | 0.678382i | ||||
\(326\) | 25.3836i | 1.40587i | ||||||||
\(327\) | 0.510734 | + | 0.136851i | 0.0282437 | + | 0.00756787i | ||||
\(328\) | −30.1669 | − | 52.2506i | −1.66569 | − | 2.88506i | ||||
\(329\) | 3.32324 | − | 5.75602i | 0.183216 | − | 0.317340i | ||||
\(330\) | 16.4638 | + | 30.8097i | 0.906301 | + | 1.69602i | ||||
\(331\) | 30.7350 | − | 8.23542i | 1.68935 | − | 0.452660i | 0.719127 | − | 0.694878i | \(-0.244542\pi\) |
0.970222 | + | 0.242218i | \(0.0778751\pi\) | |||||||
\(332\) | 71.2282 | − | 19.0855i | 3.90916 | − | 1.04746i | ||||
\(333\) | −6.43130 | + | 6.43130i | −0.352433 | + | 0.352433i | ||||
\(334\) | −1.58955 | + | 2.75319i | −0.0869764 | + | 0.150648i | ||||
\(335\) | 23.0851 | − | 13.3282i | 1.26128 | − | 0.728198i | ||||
\(336\) | 7.97849 | − | 29.7761i | 0.435263 | − | 1.62442i | ||||
\(337\) | −2.98266 | −0.162476 | −0.0812378 | − | 0.996695i | \(-0.525887\pi\) | ||||
−0.0812378 | + | 0.996695i | \(0.525887\pi\) | |||||||
\(338\) | −32.0122 | + | 12.5524i | −1.74123 | + | 0.682761i | ||||
\(339\) | 9.11063 | 0.494822 | ||||||||
\(340\) | 15.6943 | + | 4.20528i | 0.851143 | + | 0.228063i | ||||
\(341\) | −21.8952 | + | 5.10271i | −1.18569 | + | 0.276327i | ||||
\(342\) | −0.273350 | − | 0.157818i | −0.0147810 | − | 0.00853384i | ||||
\(343\) | −12.1259 | + | 12.1259i | −0.654736 | + | 0.654736i | ||||
\(344\) | −26.8344 | + | 7.19025i | −1.44681 | + | 0.387672i | ||||
\(345\) | −7.11486 | − | 26.5530i | −0.383051 | − | 1.42957i | ||||
\(346\) | 32.9683 | − | 32.9683i | 1.77239 | − | 1.77239i | ||||
\(347\) | −26.6384 | − | 15.3797i | −1.43002 | − | 0.825624i | −0.432900 | − | 0.901442i | \(-0.642510\pi\) |
−0.997122 | + | 0.0758182i | \(0.975843\pi\) | |||||||
\(348\) | 12.9327 | + | 22.4001i | 0.693265 | + | 1.20077i | ||||
\(349\) | 1.55056 | − | 5.78675i | 0.0829993 | − | 0.309758i | −0.911928 | − | 0.410349i | \(-0.865407\pi\) |
0.994928 | + | 0.100591i | \(0.0320735\pi\) | |||||||
\(350\) | 80.7026i | 4.31374i | ||||||||
\(351\) | 1.12646 | + | 3.42507i | 0.0601261 | + | 0.182817i | ||||
\(352\) | 41.7770 | + | 12.6779i | 2.22672 | + | 0.675735i | ||||
\(353\) | −1.89070 | + | 7.05621i | −0.100632 | + | 0.375564i | −0.997813 | − | 0.0660991i | \(-0.978945\pi\) |
0.897181 | + | 0.441663i | \(0.145611\pi\) | |||||||
\(354\) | 22.5194 | − | 13.0016i | 1.19689 | − | 0.691027i | ||||
\(355\) | −9.99389 | − | 5.76997i | −0.530420 | − | 0.306238i | ||||
\(356\) | −33.5043 | − | 33.5043i | −1.77573 | − | 1.77573i | ||||
\(357\) | 2.21699 | − | 0.594040i | 0.117335 | − | 0.0314399i | ||||
\(358\) | −20.3191 | + | 5.44449i | −1.07390 | + | 0.287750i | ||||
\(359\) | 14.8368 | + | 14.8368i | 0.783056 | + | 0.783056i | 0.980345 | − | 0.197289i | \(-0.0632137\pi\) |
−0.197289 | + | 0.980345i | \(0.563214\pi\) | |||||||
\(360\) | 27.3290 | + | 15.7784i | 1.44037 | + | 0.831596i | ||||
\(361\) | 16.4422 | − | 9.49288i | 0.865376 | − | 0.499625i | ||||
\(362\) | 4.08931 | − | 15.2615i | 0.214929 | − | 0.802128i | ||||
\(363\) | −6.11327 | + | 9.14483i | −0.320864 | + | 0.479979i | ||||
\(364\) | 2.83073 | + | 50.5457i | 0.148370 | + | 2.64931i | ||||
\(365\) | 4.49106i | 0.235073i | ||||||||
\(366\) | −0.977042 | + | 3.64637i | −0.0510708 | + | 0.190599i | ||||
\(367\) | −8.32480 | − | 14.4190i | −0.434551 | − | 0.752664i | 0.562708 | − | 0.826656i | \(-0.309760\pi\) |
−0.997259 | + | 0.0739916i | \(0.976426\pi\) | |||||||
\(368\) | −65.5781 | − | 37.8615i | −3.41849 | − | 1.97367i | ||||
\(369\) | 5.38342 | − | 5.38342i | 0.280250 | − | 0.280250i | ||||
\(370\) | −24.7939 | − | 92.5322i | −1.28898 | − | 4.81052i | ||||
\(371\) | 17.6181 | − | 4.72075i | 0.914686 | − | 0.245089i | ||||
\(372\) | −23.9472 | + | 23.9472i | −1.24160 | + | 1.24160i | ||||
\(373\) | 4.96701 | + | 2.86770i | 0.257182 | + | 0.148484i | 0.623048 | − | 0.782183i | \(-0.285894\pi\) |
−0.365866 | + | 0.930667i | \(0.619227\pi\) | |||||||
\(374\) | 1.62612 | + | 6.97749i | 0.0840845 | + | 0.360797i | ||||
\(375\) | −22.5271 | − | 6.03612i | −1.16330 | − | 0.311704i | ||||
\(376\) | 18.7421 | 0.966551 | ||||||||
\(377\) | −13.9164 | − | 12.4404i | −0.716733 | − | 0.640712i | ||||
\(378\) | 7.43342 | 0.382334 | ||||||||
\(379\) | −2.04056 | + | 7.61548i | −0.104817 | + | 0.391181i | −0.998324 | − | 0.0578671i | \(-0.981570\pi\) |
0.893508 | + | 0.449048i | \(0.148237\pi\) | |||||||
\(380\) | 2.05603 | − | 1.18705i | 0.105472 | − | 0.0608943i | ||||
\(381\) | −7.31704 | + | 12.6735i | −0.374863 | + | 0.649282i | ||||
\(382\) | 17.2467 | − | 17.2467i | 0.882417 | − | 0.882417i | ||||
\(383\) | 1.84092 | − | 0.493274i | 0.0940667 | − | 0.0252051i | −0.211479 | − | 0.977383i | \(-0.567828\pi\) |
0.305545 | + | 0.952178i | \(0.401161\pi\) | |||||||
\(384\) | 7.47645 | − | 2.00331i | 0.381531 | − | 0.102231i | ||||
\(385\) | −32.7355 | + | 17.4929i | −1.66835 | + | 0.891519i | ||||
\(386\) | 13.2757 | − | 22.9943i | 0.675718 | − | 1.17038i | ||||
\(387\) | −1.75279 | − | 3.03593i | −0.0890995 | − | 0.154325i | ||||
\(388\) | 22.0687 | + | 5.91328i | 1.12037 | + | 0.300201i | ||||
\(389\) | − | 36.9359i | − | 1.87273i | −0.351033 | − | 0.936363i | \(-0.614169\pi\) | ||
0.351033 | − | 0.936363i | \(-0.385831\pi\) | |||||||
\(390\) | −37.1740 | − | 7.76239i | −1.88238 | − | 0.393064i | ||||
\(391\) | − | 5.63797i | − | 0.285124i | ||||||
\(392\) | 6.87440 | + | 1.84199i | 0.347209 | + | 0.0930345i | ||||
\(393\) | 2.25641 | − | 1.30274i | 0.113821 | − | 0.0657145i | ||||
\(394\) | −30.9907 | − | 17.8925i | −1.56129 | − | 0.901410i | ||||
\(395\) | −22.0124 | + | 22.0124i | −1.10757 | + | 1.10757i | ||||
\(396\) | −0.543975 | + | 16.5613i | −0.0273358 | + | 0.832237i | ||||
\(397\) | 5.93625 | + | 22.1544i | 0.297932 | + | 1.11190i | 0.938861 | + | 0.344297i | \(0.111883\pi\) |
−0.640929 | + | 0.767600i | \(0.721451\pi\) | |||||||
\(398\) | 10.8210 | + | 10.8210i | 0.542408 | + | 0.542408i | ||||
\(399\) | 0.167683 | − | 0.290436i | 0.00839466 | − | 0.0145400i | ||||
\(400\) | −103.132 | + | 59.5434i | −5.15661 | + | 2.97717i | ||||
\(401\) | −15.4961 | − | 4.15216i | −0.773837 | − | 0.207349i | −0.149771 | − | 0.988721i | \(-0.547854\pi\) |
−0.624066 | + | 0.781372i | \(0.714520\pi\) | |||||||
\(402\) | 17.7061 | 0.883101 | ||||||||
\(403\) | 11.0176 | − | 21.8162i | 0.548824 | − | 1.08674i | ||||
\(404\) | 63.0247i | 3.13560i | ||||||||
\(405\) | −1.03063 | + | 3.84637i | −0.0512124 | + | 0.191127i | ||||
\(406\) | −33.3277 | + | 19.2418i | −1.65403 | + | 0.954953i | ||||
\(407\) | 22.0190 | − | 20.6185i | 1.09144 | − | 1.02202i | ||||
\(408\) | 4.57647 | + | 4.57647i | 0.226569 | + | 0.226569i | ||||
\(409\) | −1.09152 | − | 4.07362i | −0.0539723 | − | 0.201427i | 0.933675 | − | 0.358122i | \(-0.116583\pi\) |
−0.987647 | + | 0.156695i | \(0.949916\pi\) | |||||||
\(410\) | 20.7542 | + | 77.4556i | 1.02497 | + | 3.82526i | ||||
\(411\) | −4.99193 | + | 4.99193i | −0.246234 | + | 0.246234i | ||||
\(412\) | 5.31047 | − | 9.19801i | 0.261628 | − | 0.453153i | ||||
\(413\) | 13.8143 | + | 23.9270i | 0.679756 | + | 1.17737i | ||||
\(414\) | 4.72594 | − | 17.6374i | 0.232267 | − | 0.866833i | ||||
\(415\) | −58.7736 | −2.88508 | ||||||||
\(416\) | −39.7117 | + | 25.9920i | −1.94703 | + | 1.27436i | ||||
\(417\) | − | 1.31190i | − | 0.0642439i | ||||||
\(418\) | 0.888926 | + | 0.552905i | 0.0434788 | + | 0.0270434i | ||||
\(419\) | 7.42652 | + | 12.8631i | 0.362809 | + | 0.628404i | 0.988422 | − | 0.151730i | \(-0.0484844\pi\) |
−0.625613 | + | 0.780134i | \(0.715151\pi\) | |||||||
\(420\) | −27.9556 | + | 48.4206i | −1.36410 | + | 2.36268i | ||||
\(421\) | −2.06083 | − | 2.06083i | −0.100439 | − | 0.100439i | 0.655102 | − | 0.755541i | \(-0.272626\pi\) |
−0.755541 | + | 0.655102i | \(0.772626\pi\) | |||||||
\(422\) | 32.0189 | − | 8.57943i | 1.55865 | − | 0.417640i | ||||
\(423\) | 0.612108 | + | 2.28442i | 0.0297617 | + | 0.111072i | ||||
\(424\) | 36.3686 | + | 36.3686i | 1.76622 | + | 1.76622i | ||||
\(425\) | −7.67872 | − | 4.43331i | −0.372472 | − | 0.215047i | ||||
\(426\) | −3.83262 | − | 6.63829i | −0.185691 | − | 0.321626i | ||||
\(427\) | −3.87429 | − | 1.03811i | −0.187490 | − | 0.0502378i | ||||
\(428\) | 26.8715 | 1.29888 | ||||||||
\(429\) | −3.36112 | − | 11.4762i | −0.162276 | − | 0.554076i | ||||
\(430\) | 36.9229 | 1.78058 | ||||||||
\(431\) | 24.3563 | + | 6.52624i | 1.17320 | + | 0.314358i | 0.792226 | − | 0.610228i | \(-0.208922\pi\) |
0.380974 | + | 0.924586i | \(0.375589\pi\) | |||||||
\(432\) | 5.48447 | + | 9.49938i | 0.263872 | + | 0.457039i | ||||
\(433\) | −25.6512 | − | 14.8097i | −1.23272 | − | 0.711710i | −0.265122 | − | 0.964215i | \(-0.585412\pi\) |
−0.967596 | + | 0.252505i | \(0.918746\pi\) | |||||||
\(434\) | −35.6295 | − | 35.6295i | −1.71027 | − | 1.71027i | ||||
\(435\) | −5.33567 | − | 19.9130i | −0.255826 | − | 0.954756i | ||||
\(436\) | −2.55169 | + | 0.683723i | −0.122204 | + | 0.0327444i | ||||
\(437\) | −0.582516 | − | 0.582516i | −0.0278655 | − | 0.0278655i | ||||
\(438\) | −1.49156 | + | 2.58346i | −0.0712695 | + | 0.123442i | ||||
\(439\) | −18.4653 | − | 31.9828i | −0.881298 | − | 1.52645i | −0.849898 | − | 0.526947i | \(-0.823337\pi\) |
−0.0314000 | − | 0.999507i | \(-0.509997\pi\) | |||||||
\(440\) | −88.8734 | − | 55.2785i | −4.23687 | − | 2.63530i | ||||
\(441\) | 0.898057i | 0.0427646i | ||||||||
\(442\) | −6.95232 | − | 3.51105i | −0.330688 | − | 0.167003i | ||||
\(443\) | −0.417773 | −0.0198490 | −0.00992450 | − | 0.999951i | \(-0.503159\pi\) | ||||
−0.00992450 | + | 0.999951i | \(0.503159\pi\) | |||||||
\(444\) | 11.7610 | − | 43.8925i | 0.558150 | − | 2.08304i | ||||
\(445\) | 18.8825 | + | 32.7055i | 0.895118 | + | 1.55039i | ||||
\(446\) | −2.16511 | + | 3.75007i | −0.102521 | + | 0.177571i | ||||
\(447\) | −14.9874 | + | 14.9874i | −0.708879 | + | 0.708879i | ||||
\(448\) | 9.36836 | + | 34.9632i | 0.442613 | + | 1.65186i | ||||
\(449\) | 8.42495 | + | 31.4423i | 0.397598 | + | 1.48386i | 0.817310 | + | 0.576198i | \(0.195464\pi\) |
−0.419712 | + | 0.907657i | \(0.637869\pi\) | |||||||
\(450\) | −20.3054 | − | 20.3054i | −0.957208 | − | 0.957208i | ||||
\(451\) | −18.4313 | + | 17.2590i | −0.867897 | + | 0.812696i | ||||
\(452\) | −39.4195 | + | 22.7589i | −1.85414 | + | 1.07049i | ||||
\(453\) | 1.12302 | − | 4.19116i | 0.0527640 | − | 0.196918i | ||||
\(454\) | 7.24553i | 0.340050i | ||||||||
\(455\) | 8.24759 | − | 39.4976i | 0.386653 | − | 1.85168i | ||||
\(456\) | 0.945684 | 0.0442857 | ||||||||
\(457\) | 1.72426 | + | 0.462015i | 0.0806576 | + | 0.0216121i | 0.298922 | − | 0.954277i | \(-0.403373\pi\) |
−0.218265 | + | 0.975890i | \(0.570040\pi\) | |||||||
\(458\) | −22.4951 | + | 12.9876i | −1.05113 | + | 0.606869i | ||||
\(459\) | −0.408347 | + | 0.707277i | −0.0190600 | + | 0.0330129i | ||||
\(460\) | 97.1153 | + | 97.1153i | 4.52802 | + | 4.52802i | ||||
\(461\) | 2.66091 | + | 9.93064i | 0.123931 | + | 0.462516i | 0.999799 | − | 0.0200338i | \(-0.00637739\pi\) |
−0.875869 | + | 0.482550i | \(0.839711\pi\) | |||||||
\(462\) | −24.6406 | − | 0.809347i | −1.14638 | − | 0.0376542i | ||||
\(463\) | −6.68283 | + | 6.68283i | −0.310577 | + | 0.310577i | −0.845133 | − | 0.534556i | \(-0.820479\pi\) |
0.534556 | + | 0.845133i | \(0.320479\pi\) | |||||||
\(464\) | −49.1792 | − | 28.3936i | −2.28309 | − | 1.31814i | ||||
\(465\) | 23.3762 | − | 13.4963i | 1.08405 | − | 0.625874i | ||||
\(466\) | −17.9609 | − | 4.81262i | −0.832024 | − | 0.222940i | ||||
\(467\) | 10.5945i | 0.490257i | 0.969491 | + | 0.245128i | \(0.0788301\pi\) | ||||
−0.969491 | + | 0.245128i | \(0.921170\pi\) | |||||||
\(468\) | −13.4300 | − | 12.0055i | −0.620800 | − | 0.554954i | ||||
\(469\) | 18.8129i | 0.868697i | ||||||||
\(470\) | −24.0608 | − | 6.44708i | −1.10984 | − | 0.297382i | ||||
\(471\) | 9.95222 | + | 17.2377i | 0.458574 | + | 0.794273i | ||||
\(472\) | −38.9543 | + | 67.4707i | −1.79301 | + | 3.10559i | ||||
\(473\) | 5.47968 | + | 10.2545i | 0.251956 | + | 0.471500i | ||||
\(474\) | −19.9732 | + | 5.35181i | −0.917401 | + | 0.245817i | ||||
\(475\) | −1.25142 | + | 0.335316i | −0.0574189 | + | 0.0153854i | ||||
\(476\) | −8.10843 | + | 8.10843i | −0.371649 | + | 0.371649i | ||||
\(477\) | −3.24508 | + | 5.62064i | −0.148582 | + | 0.257351i | ||||
\(478\) | 14.8324 | − | 8.56349i | 0.678418 | − | 0.391685i | ||||
\(479\) | −9.52439 | + | 35.5455i | −0.435181 | + | 1.62412i | 0.305453 | + | 0.952207i | \(0.401192\pi\) |
−0.740634 | + | 0.671909i | \(0.765475\pi\) | |||||||
\(480\) | −52.4176 | −2.39253 | ||||||||
\(481\) | 1.83366 | + | 32.7420i | 0.0836078 | + | 1.49291i | ||||
\(482\) | −12.0725 | −0.549888 | ||||||||
\(483\) | 18.7399 | + | 5.02134i | 0.852695 | + | 0.228479i | ||||
\(484\) | 3.60638 | − | 54.8388i | 0.163926 | − | 2.49267i | ||||
\(485\) | −15.7702 | − | 9.10493i | −0.716088 | − | 0.413434i | ||||
\(486\) | −1.87031 | + | 1.87031i | −0.0848390 | + | 0.0848390i | ||||
\(487\) | −29.5821 | + | 7.92650i | −1.34049 | + | 0.359184i | −0.856617 | − | 0.515952i | \(-0.827438\pi\) |
−0.483876 | + | 0.875136i | \(0.660772\pi\) | |||||||
\(488\) | −2.92733 | − | 10.9249i | −0.132514 | − | 0.494549i | ||||
\(489\) | 6.78593 | − | 6.78593i | 0.306870 | − | 0.306870i | ||||
\(490\) | −8.19162 | − | 4.72943i | −0.370060 | − | 0.213654i | ||||
\(491\) | 2.56394 | + | 4.44087i | 0.115709 | + | 0.200414i | 0.918063 | − | 0.396435i | \(-0.129753\pi\) |
−0.802354 | + | 0.596848i | \(0.796419\pi\) | |||||||
\(492\) | −9.84470 | + | 36.7409i | −0.443833 | + | 1.65641i | ||||
\(493\) | − | 4.22810i | − | 0.190424i | ||||||
\(494\) | −1.08108 | + | 0.355553i | −0.0486400 | + | 0.0159971i | ||||
\(495\) | 3.83516 | − | 12.6379i | 0.172378 | − | 0.568030i | ||||
\(496\) | 19.2441 | − | 71.8199i | 0.864085 | − | 3.22481i | ||||
\(497\) | 7.05323 | − | 4.07218i | 0.316380 | − | 0.182662i | ||||
\(498\) | −33.8092 | − | 19.5198i | −1.51503 | − | 0.874701i | ||||
\(499\) | 11.2190 | + | 11.2190i | 0.502233 | + | 0.502233i | 0.912131 | − | 0.409898i | \(-0.134436\pi\) |
−0.409898 | + | 0.912131i | \(0.634436\pi\) | |||||||
\(500\) | 112.548 | − | 30.1572i | 5.03330 | − | 1.34867i | ||||
\(501\) | 1.16097 | − | 0.311080i | 0.0518682 | − | 0.0138980i | ||||
\(502\) | 44.8621 | + | 44.8621i | 2.00229 | + | 2.00229i | ||||
\(503\) | −29.1541 | − | 16.8321i | −1.29992 | − | 0.750507i | −0.319527 | − | 0.947577i | \(-0.603524\pi\) |
−0.980389 | + | 0.197070i | \(0.936857\pi\) | |||||||
\(504\) | −19.2876 | + | 11.1357i | −0.859137 | + | 0.496023i | ||||
\(505\) | 13.0011 | − | 48.5209i | 0.578543 | − | 2.15915i | ||||
\(506\) | −17.5861 | + | 57.9507i | −0.781796 | + | 2.57622i | ||||
\(507\) | 11.9137 | + | 5.20229i | 0.529106 | + | 0.231042i | ||||
\(508\) | − | 73.1135i | − | 3.24389i | ||||||
\(509\) | 1.48978 | − | 5.55994i | 0.0660334 | − | 0.246440i | −0.925017 | − | 0.379925i | \(-0.875950\pi\) |
0.991051 | + | 0.133484i | \(0.0426166\pi\) | |||||||
\(510\) | −4.30095 | − | 7.44946i | −0.190449 | − | 0.329868i | ||||
\(511\) | −2.74494 | − | 1.58479i | −0.121429 | − | 0.0701071i | ||||
\(512\) | 20.8338 | − | 20.8338i | 0.920731 | − | 0.920731i | ||||
\(513\) | 0.0308856 | + | 0.115266i | 0.00136363 | + | 0.00508914i | ||||
\(514\) | 68.9270 | − | 18.4689i | 3.04024 | − | 0.814630i | ||||
\(515\) | −5.98580 | + | 5.98580i | −0.263766 | + | 0.263766i | ||||
\(516\) | 15.1678 | + | 8.75716i | 0.667727 | + | 0.385513i | ||||
\(517\) | −1.78031 | − | 7.63912i | −0.0782980 | − | 0.335968i | ||||
\(518\) | 65.3050 | + | 17.4984i | 2.86934 | + | 0.768836i | ||||
\(519\) | −17.6272 | −0.773749 | ||||||||
\(520\) | 108.084 | − | 35.5476i | 4.73981 | − | 1.55887i | ||||
\(521\) | −27.9723 | −1.22549 | −0.612744 | − | 0.790281i | \(-0.709934\pi\) | ||||
−0.612744 | + | 0.790281i | \(0.709934\pi\) | |||||||
\(522\) | 3.54414 | − | 13.2269i | 0.155123 | − | 0.578926i | ||||
\(523\) | 37.0468 | − | 21.3890i | 1.61994 | − | 0.935275i | 0.633012 | − | 0.774142i | \(-0.281819\pi\) |
0.986933 | − | 0.161133i | \(-0.0515148\pi\) | |||||||
\(524\) | −6.50863 | + | 11.2733i | −0.284331 | + | 0.492476i | ||||
\(525\) | 21.5747 | − | 21.5747i | 0.941596 | − | 0.941596i | ||||
\(526\) | −22.8603 | + | 6.12540i | −0.996756 | + | 0.267080i | ||||
\(527\) | 5.34736 | − | 1.43282i | 0.232935 | − | 0.0624146i | ||||
\(528\) | −17.1458 | − | 32.0860i | −0.746177 | − | 1.39637i | ||||
\(529\) | 12.3285 | − | 21.3536i | 0.536022 | − | 0.928417i | ||||
\(530\) | −34.1791 | − | 59.1999i | −1.48464 | − | 2.57148i | ||||
\(531\) | −9.49602 | − | 2.54445i | −0.412092 | − | 0.110420i | ||||
\(532\) | 1.67553i | 0.0726434i | ||||||||
\(533\) | −1.53490 | − | 27.4072i | −0.0664838 | − | 1.18714i | ||||
\(534\) | 25.0849i | 1.08553i | ||||||||
\(535\) | −20.6876 | − | 5.54322i | −0.894402 | − | 0.239654i | ||||
\(536\) | −45.9423 | + | 26.5248i | −1.98440 | + | 1.14570i | ||||
\(537\) | 6.88752 | + | 3.97651i | 0.297218 | + | 0.171599i | ||||
\(538\) | −9.95659 | + | 9.95659i | −0.429259 | + | 0.429259i | ||||
\(539\) | 0.0977800 | − | 2.97691i | 0.00421168 | − | 0.128225i | ||||
\(540\) | −5.14915 | − | 19.2169i | −0.221584 | − | 0.826963i | ||||
\(541\) | −25.6913 | − | 25.6913i | −1.10455 | − | 1.10455i | −0.993854 | − | 0.110700i | \(-0.964691\pi\) |
−0.110700 | − | 0.993854i | \(-0.535309\pi\) | |||||||
\(542\) | 9.25384 | − | 16.0281i | 0.397487 | − | 0.688467i | ||||
\(543\) | −5.17316 | + | 2.98673i | −0.222002 | + | 0.128173i | ||||
\(544\) | −10.3842 | − | 2.78244i | −0.445219 | − | 0.119296i | ||||
\(545\) | 2.10551 | 0.0901903 | ||||||||
\(546\) | 17.8622 | − | 19.9816i | 0.764433 | − | 0.855134i | ||||
\(547\) | 22.3775i | 0.956795i | 0.878143 | + | 0.478397i | \(0.158782\pi\) | ||||
−0.878143 | + | 0.478397i | \(0.841218\pi\) | |||||||
\(548\) | 9.12876 | − | 34.0690i | 0.389961 | − | 1.45536i | ||||
\(549\) | 1.23600 | − | 0.713606i | 0.0527513 | − | 0.0304560i | ||||
\(550\) | 65.0984 | + | 69.5201i | 2.77580 | + | 2.96435i | ||||
\(551\) | −0.436848 | − | 0.436848i | −0.0186104 | − | 0.0186104i | ||||
\(552\) | 14.1595 | + | 52.8438i | 0.602667 | + | 2.24918i | ||||
\(553\) | −5.68634 | − | 21.2217i | −0.241808 | − | 0.902438i | ||||
\(554\) | 55.1717 | − | 55.1717i | 2.34402 | − | 2.34402i | ||||
\(555\) | −18.1088 | + | 31.3654i | −0.768677 | + | 1.33139i | ||||
\(556\) | 3.27720 | + | 5.67627i | 0.138984 | + | 0.240728i | ||||
\(557\) | 6.32965 | − | 23.6226i | 0.268196 | − | 1.00092i | −0.692069 | − | 0.721831i | \(-0.743301\pi\) |
0.960265 | − | 0.279090i | \(-0.0900327\pi\) | |||||||
\(558\) | 17.9294 | 0.759011 | ||||||||
\(559\) | −12.3727 | − | 2.58358i | −0.523310 | − | 0.109274i | ||||
\(560\) | − | 122.753i | − | 5.18725i | ||||||
\(561\) | 1.43061 | − | 2.30005i | 0.0604004 | − | 0.0971081i | ||||
\(562\) | 23.8611 | + | 41.3287i | 1.00652 | + | 1.74334i | ||||
\(563\) | −13.5906 | + | 23.5397i | −0.572777 | + | 0.992079i | 0.423502 | + | 0.905895i | \(0.360801\pi\) |
−0.996279 | + | 0.0861839i | \(0.972533\pi\) | |||||||
\(564\) | −8.35506 | − | 8.35506i | −0.351811 | − | 0.351811i | ||||
\(565\) | 35.0428 | − | 9.38970i | 1.47426 | − | 0.395027i | ||||
\(566\) | 10.3494 | + | 38.6247i | 0.435020 | + | 1.62352i | ||||
\(567\) | −1.98722 | − | 1.98722i | −0.0834552 | − | 0.0834552i | ||||
\(568\) | 19.8891 | + | 11.4830i | 0.834527 | + | 0.481815i | ||||
\(569\) | 12.5965 | + | 21.8178i | 0.528074 | + | 0.914652i | 0.999464 | + | 0.0327267i | \(0.0104191\pi\) |
−0.471390 | + | 0.881925i | \(0.656248\pi\) | |||||||
\(570\) | −1.21405 | − | 0.325305i | −0.0508512 | − | 0.0136255i | ||||
\(571\) | −18.9700 | −0.793869 | −0.396935 | − | 0.917847i | \(-0.629926\pi\) | ||||
−0.396935 | + | 0.917847i | \(0.629926\pi\) | |||||||
\(572\) | 43.2110 | + | 41.2585i | 1.80674 | + | 1.72510i | ||||
\(573\) | −9.22130 | −0.385225 | ||||||||
\(574\) | −54.6646 | − | 14.6473i | −2.28166 | − | 0.611368i | ||||
\(575\) | −37.4742 | − | 64.9072i | −1.56278 | − | 2.70682i | ||||
\(576\) | −11.1542 | − | 6.43987i | −0.464758 | − | 0.268328i | ||||
\(577\) | 12.9085 | + | 12.9085i | 0.537388 | + | 0.537388i | 0.922761 | − | 0.385373i | \(-0.125927\pi\) |
−0.385373 | + | 0.922761i | \(0.625927\pi\) | |||||||
\(578\) | 11.1813 | + | 41.7291i | 0.465079 | + | 1.73570i | ||||
\(579\) | −9.69626 | + | 2.59810i | −0.402963 | + | 0.107974i | ||||
\(580\) | 72.8300 | + | 72.8300i | 3.02410 | + | 3.02410i | ||||
\(581\) | 20.7399 | − | 35.9225i | 0.860435 | − | 1.49032i | ||||
\(582\) | −6.04781 | − | 10.4751i | −0.250690 | − | 0.434208i | ||||
\(583\) | 11.3689 | − | 18.2782i | 0.470851 | − | 0.757005i | ||||
\(584\) | − | 8.93778i | − | 0.369848i | ||||||
\(585\) | 7.86277 | + | 12.0131i | 0.325085 | + | 0.496680i | ||||
\(586\) | −66.9559 | −2.76592 | ||||||||
\(587\) | −1.47525 | + | 5.50569i | −0.0608899 | + | 0.227244i | −0.989665 | − | 0.143400i | \(-0.954196\pi\) |
0.928775 | + | 0.370644i | \(0.120863\pi\) | |||||||
\(588\) | −2.24340 | − | 3.88568i | −0.0925161 | − | 0.160243i | ||||
\(589\) | 0.404451 | − | 0.700529i | 0.0166651 | − | 0.0288648i | ||||
\(590\) | 73.2180 | − | 73.2180i | 3.01434 | − | 3.01434i | ||||
\(591\) | 3.50161 | + | 13.0682i | 0.144037 | + | 0.537554i | ||||
\(592\) | 25.8211 | + | 96.3657i | 1.06124 | + | 3.96060i | ||||
\(593\) | −5.58158 | − | 5.58158i | −0.229208 | − | 0.229208i | 0.583154 | − | 0.812362i | \(-0.301818\pi\) |
−0.812362 | + | 0.583154i | \(0.801818\pi\) | |||||||
\(594\) | 6.40341 | − | 5.99613i | 0.262735 | − | 0.246024i | ||||
\(595\) | 7.91510 | − | 4.56979i | 0.324488 | − | 0.187343i | ||||
\(596\) | 27.4075 | − | 102.286i | 1.12266 | − | 4.18981i | ||||
\(597\) | − | 5.78567i | − | 0.236792i | ||||||
\(598\) | −36.0546 | − | 55.0858i | −1.47438 | − | 2.25263i | ||||
\(599\) | −40.8241 | −1.66803 | −0.834013 | − | 0.551744i | \(-0.813962\pi\) | ||||
−0.834013 | + | 0.551744i | \(0.813962\pi\) | |||||||
\(600\) | 83.1055 | + | 22.2680i | 3.39277 | + | 0.909089i | ||||
\(601\) | −35.1175 | + | 20.2751i | −1.43247 | + | 0.827038i | −0.997309 | − | 0.0733134i | \(-0.976643\pi\) |
−0.435163 | + | 0.900352i | \(0.643309\pi\) | |||||||
\(602\) | −13.0293 | + | 22.5673i | −0.531033 | + | 0.919776i | ||||
\(603\) | −4.73347 | − | 4.73347i | −0.192762 | − | 0.192762i | ||||
\(604\) | 5.61073 | + | 20.9395i | 0.228297 | + | 0.852017i | ||||
\(605\) | −14.0889 | + | 41.4749i | −0.572797 | + | 1.68619i | ||||
\(606\) | 23.5935 | − | 23.5935i | 0.958419 | − | 0.958419i | ||||
\(607\) | 38.3464 | + | 22.1393i | 1.55643 | + | 0.898608i | 0.997594 | + | 0.0693326i | \(0.0220870\pi\) |
0.558841 | + | 0.829275i | \(0.311246\pi\) | |||||||
\(608\) | −1.36038 | + | 0.785416i | −0.0551707 | + | 0.0318528i | ||||
\(609\) | 14.0537 | + | 3.76567i | 0.569484 | + | 0.152593i | ||||
\(610\) | 15.0322i | 0.608638i | ||||||||
\(611\) | 7.61157 | + | 3.84398i | 0.307931 | + | 0.155511i | ||||
\(612\) | − | 4.08029i | − | 0.164936i | ||||||
\(613\) | −3.51736 | − | 0.942473i | −0.142065 | − | 0.0380661i | 0.187086 | − | 0.982344i | \(-0.440096\pi\) |
−0.329151 | + | 0.944277i | \(0.606762\pi\) | |||||||
\(614\) | −3.70342 | − | 6.41451i | −0.149458 | − | 0.258869i | ||||
\(615\) | 15.1583 | − | 26.2549i | 0.611242 | − | 1.05870i | ||||
\(616\) | 65.1476 | − | 34.8130i | 2.62487 | − | 1.40265i | ||||
\(617\) | 4.57034 | − | 1.22462i | 0.183995 | − | 0.0493013i | −0.165645 | − | 0.986185i | \(-0.552971\pi\) |
0.349640 | + | 0.936884i | \(0.386304\pi\) | |||||||
\(618\) | −5.43129 | + | 1.45531i | −0.218478 | + | 0.0585411i | ||||
\(619\) | −24.8361 | + | 24.8361i | −0.998247 | + | 0.998247i | −0.999998 | − | 0.00175185i | \(-0.999442\pi\) |
0.00175185 | + | 0.999998i | \(0.499442\pi\) | |||||||
\(620\) | −67.4289 | + | 116.790i | −2.70801 | + | 4.69041i | ||||
\(621\) | −5.97852 | + | 3.45170i | −0.239910 | + | 0.138512i | ||||
\(622\) | −17.9462 | + | 66.9760i | −0.719576 | + | 2.68549i | ||||
\(623\) | −26.6528 | −1.06782 | ||||||||
\(624\) | 38.7141 | + | 8.08398i | 1.54980 | + | 0.323618i | ||||
\(625\) | −38.5849 | −1.54340 | ||||||||
\(626\) | −31.3858 | − | 8.40979i | −1.25443 | − | 0.336123i | ||||
\(627\) | −0.0898304 | − | 0.385452i | −0.00358748 | − | 0.0153935i | ||||
\(628\) | −86.1218 | − | 49.7224i | −3.43663 | − | 1.98414i | ||||
\(629\) | −5.25240 | + | 5.25240i | −0.209427 | + | 0.209427i | ||||
\(630\) | 28.5916 | − | 7.66111i | 1.13912 | − | 0.305226i | ||||
\(631\) | −3.89769 | − | 14.5464i | −0.155164 | − | 0.579082i | −0.999091 | − | 0.0426233i | \(-0.986428\pi\) |
0.843927 | − | 0.536458i | \(-0.180238\pi\) | |||||||
\(632\) | 43.8075 | − | 43.8075i | 1.74257 | − | 1.74257i | ||||
\(633\) | −10.8534 | − | 6.26619i | −0.431383 | − | 0.249059i | ||||
\(634\) | −24.1723 | − | 41.8677i | −0.960007 | − | 1.66278i | ||||
\(635\) | −15.0823 | + | 56.2880i | −0.598524 | + | 2.23372i | ||||
\(636\) | − | 32.4256i | − | 1.28576i | ||||||
\(637\) | 2.41405 | + | 2.15800i | 0.0956480 | + | 0.0855030i | ||||
\(638\) | −13.1884 | + | 43.4592i | −0.522133 | + | 1.72057i | ||||
\(639\) | −0.750055 | + | 2.79924i | −0.0296717 | + | 0.110736i | ||||
\(640\) | 26.6925 | − | 15.4109i | 1.05511 | − | 0.609170i | ||||
\(641\) | 26.5994 | + | 15.3572i | 1.05061 | + | 0.606572i | 0.922821 | − | 0.385229i | \(-0.125877\pi\) |
0.127793 | + | 0.991801i | \(0.459211\pi\) | |||||||
\(642\) | −10.0594 | − | 10.0594i | −0.397013 | − | 0.397013i | ||||
\(643\) | 41.7648 | − | 11.1909i | 1.64704 | − | 0.441324i | 0.688261 | − | 0.725463i | \(-0.258374\pi\) |
0.958783 | + | 0.284139i | \(0.0917077\pi\) | |||||||
\(644\) | −93.6267 | + | 25.0872i | −3.68941 | + | 0.988574i | ||||
\(645\) | −9.87081 | − | 9.87081i | −0.388663 | − | 0.388663i | ||||
\(646\) | −0.223243 | − | 0.128889i | −0.00878337 | − | 0.00507108i | ||||
\(647\) | −13.0005 | + | 7.50583i | −0.511102 | + | 0.295085i | −0.733286 | − | 0.679920i | \(-0.762015\pi\) |
0.222185 | + | 0.975005i | \(0.428681\pi\) | |||||||
\(648\) | 2.05108 | − | 7.65475i | 0.0805742 | − | 0.300707i | ||||
\(649\) | 31.2007 | + | 9.46836i | 1.22474 | + | 0.371666i | ||||
\(650\) | −103.376 | + | 5.78939i | −4.05473 | + | 0.227079i | ||||
\(651\) | 19.0501i | 0.746631i | ||||||||
\(652\) | −12.4095 | + | 46.3128i | −0.485992 | + | 1.81375i | ||||
\(653\) | 17.4015 | + | 30.1403i | 0.680974 | + | 1.17948i | 0.974684 | + | 0.223587i | \(0.0717767\pi\) |
−0.293710 | + | 0.955895i | \(0.594890\pi\) | |||||||
\(654\) | 1.21118 | + | 0.699278i | 0.0473611 | + | 0.0273439i | ||||
\(655\) | 7.33633 | − | 7.33633i | 0.286654 | − | 0.286654i | ||||
\(656\) | −21.6140 | − | 80.6644i | −0.843884 | − | 3.14942i | ||||
\(657\) | 1.08940 | − | 0.291903i | 0.0425014 | − | 0.0113882i | ||||
\(658\) | 12.4310 | − | 12.4310i | 0.484610 | − | 0.484610i | ||||
\(659\) | 7.44895 | + | 4.30065i | 0.290170 | + | 0.167530i | 0.638018 | − | 0.770021i | \(-0.279754\pi\) |
−0.347849 | + | 0.937551i | \(0.613088\pi\) | |||||||
\(660\) | 14.9763 | + | 64.2615i | 0.582950 | + | 2.50137i | ||||
\(661\) | 27.7831 | + | 7.44445i | 1.08064 | + | 0.289556i | 0.754856 | − | 0.655890i | \(-0.227707\pi\) |
0.325780 | + | 0.945446i | \(0.394373\pi\) | |||||||
\(662\) | 84.1624 | 3.27106 | ||||||||
\(663\) | 0.919975 | + | 2.79723i | 0.0357289 | + | 0.108635i | ||||
\(664\) | 116.967 | 4.53919 | ||||||||
\(665\) | 0.345639 | − | 1.28994i | 0.0134033 | − | 0.0500218i | ||||
\(666\) | −20.8340 | + | 12.0285i | −0.807302 | + | 0.466096i | ||||
\(667\) | 17.8698 | − | 30.9514i | 0.691921 | − | 1.19844i | ||||
\(668\) | −4.24614 | + | 4.24614i | −0.164288 | + | 0.164288i | ||||
\(669\) | 1.58134 | − | 0.423718i | 0.0611380 | − | 0.0163819i | ||||
\(670\) | 68.1042 | − | 18.2485i | 2.63109 | − | 0.705000i | ||||
\(671\) | −4.17484 | + | 2.23091i | −0.161168 | + | 0.0861234i | ||||
\(672\) | 18.4970 | − | 32.0377i | 0.713536 | − | 1.23588i | ||||
\(673\) | 8.09402 | + | 14.0193i | 0.312002 | + | 0.540403i | 0.978796 | − | 0.204839i | \(-0.0656672\pi\) |
−0.666794 | + | 0.745242i | \(0.732334\pi\) | |||||||
\(674\) | −7.62036 | − | 2.04187i | −0.293525 | − | 0.0786499i | ||||
\(675\) | 10.8567i | 0.417876i | ||||||||
\(676\) | −64.5434 | + | 7.25203i | −2.48244 | + | 0.278924i | ||||
\(677\) | − | 18.9384i | − | 0.727864i | −0.931426 | − | 0.363932i | \(-0.881434\pi\) | ||
0.931426 | − | 0.363932i | \(-0.118566\pi\) | |||||||
\(678\) | 23.2767 | + | 6.23696i | 0.893935 | + | 0.239529i | ||||
\(679\) | 11.1299 | − | 6.42584i | 0.427126 | − | 0.246601i | ||||
\(680\) | 22.3194 | + | 12.8861i | 0.855912 | + | 0.494161i | ||||
\(681\) | 1.93699 | − | 1.93699i | 0.0742255 | − | 0.0742255i | ||||
\(682\) | −59.4329 | − | 1.95214i | −2.27580 | − | 0.0747514i | ||||
\(683\) | 4.15988 | + | 15.5249i | 0.159174 | + | 0.594044i | 0.998712 | + | 0.0507431i | \(0.0161590\pi\) |
−0.839538 | + | 0.543301i | \(0.817174\pi\) | |||||||
\(684\) | −0.421577 | − | 0.421577i | −0.0161194 | − | 0.0161194i | ||||
\(685\) | −14.0559 | + | 24.3456i | −0.537050 | + | 0.930198i | ||||
\(686\) | −39.2814 | + | 22.6792i | −1.49977 | + | 0.865894i | ||||
\(687\) | 9.48578 | + | 2.54171i | 0.361905 | + | 0.0969722i | ||||
\(688\) | −38.4526 | −1.46599 | ||||||||
\(689\) | 7.31092 | + | 22.2292i | 0.278524 | + | 0.846866i | ||||
\(690\) | − | 72.7107i | − | 2.76805i | ||||||
\(691\) | 6.07422 | − | 22.6693i | 0.231074 | − | 0.862381i | −0.748805 | − | 0.662790i | \(-0.769372\pi\) |
0.979879 | − | 0.199591i | \(-0.0639613\pi\) | |||||||
\(692\) | 76.2688 | − | 44.0338i | 2.89930 | − | 1.67391i | ||||
\(693\) | 6.37093 | + | 6.80367i | 0.242012 | + | 0.258450i | ||||
\(694\) | −57.5295 | − | 57.5295i | −2.18379 | − | 2.18379i | ||||
\(695\) | −1.35208 | − | 5.04604i | −0.0512874 | − | 0.191407i | ||||
\(696\) | 10.6187 | + | 39.6294i | 0.402499 | + | 1.50215i | ||||
\(697\) | 4.39661 | − | 4.39661i | 0.166533 | − | 0.166533i | ||||
\(698\) | 7.92300 | − | 13.7230i | 0.299890 | − | 0.519425i | ||||
\(699\) | 3.51501 | + | 6.08818i | 0.132950 | + | 0.230276i | ||||
\(700\) | −39.4537 | + | 147.243i | −1.49121 | + | 5.56527i | ||||
\(701\) | 34.3067 | 1.29575 | 0.647874 | − | 0.761748i | \(-0.275658\pi\) | ||||
0.647874 | + | 0.761748i | \(0.275658\pi\) | |||||||
\(702\) | 0.533254 | + | 9.52182i | 0.0201264 | + | 0.359378i | ||||
\(703\) | 1.08536i | 0.0409351i | ||||||||
\(704\) | 36.2731 | + | 22.5616i | 1.36710 | + | 0.850322i | ||||
\(705\) | 4.70878 | + | 8.15585i | 0.177343 | + | 0.307167i | ||||
\(706\) | −9.66109 | + | 16.7335i | −0.363600 | + | 0.629773i | ||||
\(707\) | 25.0682 | + | 25.0682i | 0.942787 | + | 0.942787i | ||||
\(708\) | 47.4432 | − | 12.7124i | 1.78303 | − | 0.477760i | ||||
\(709\) | −7.95217 | − | 29.6779i | −0.298650 | − | 1.11458i | −0.938275 | − | 0.345890i | \(-0.887577\pi\) |
0.639625 | − | 0.768687i | \(-0.279090\pi\) | |||||||
\(710\) | −21.5833 | − | 21.5833i | −0.810006 | − | 0.810006i | ||||
\(711\) | 6.77028 | + | 3.90882i | 0.253905 | + | 0.146592i | ||||
\(712\) | −37.5786 | − | 65.0880i | −1.40832 | − | 2.43928i | ||||
\(713\) | 45.2005 | + | 12.1114i | 1.69277 | + | 0.453577i | ||||
\(714\) | 6.07082 | 0.227195 | ||||||||
\(715\) | −24.7558 | − | 40.6775i | −0.925815 | − | 1.52125i | ||||
\(716\) | −39.7342 | −1.48494 | ||||||||
\(717\) | −6.25455 | − | 1.67590i | −0.233580 | − | 0.0625877i | ||||
\(718\) | 27.7494 | + | 48.0634i | 1.03560 | + | 1.79371i | ||||
\(719\) | 1.95795 | + | 1.13042i | 0.0730192 | + | 0.0421577i | 0.536065 | − | 0.844177i | \(-0.319910\pi\) |
−0.463046 | + | 0.886334i | \(0.653243\pi\) | |||||||
\(720\) | 30.8856 | + | 30.8856i | 1.15104 | + | 1.15104i | ||||
\(721\) | −1.54628 | − | 5.77078i | −0.0575863 | − | 0.214915i | ||||
\(722\) | 48.5065 | − | 12.9973i | 1.80523 | − | 0.483709i | ||||
\(723\) | 3.22741 | + | 3.22741i | 0.120029 | + | 0.120029i | ||||
\(724\) | 14.9220 | − | 25.8457i | 0.554573 | − | 0.960549i | ||||
\(725\) | −28.1032 | − | 48.6761i | −1.04373 | − | 1.80779i | ||||
\(726\) | −21.8791 | + | 19.1790i | −0.812010 | + | 0.711800i | ||||
\(727\) | 9.68370i | 0.359148i | 0.983744 | + | 0.179574i | \(0.0574720\pi\) | ||||
−0.983744 | + | 0.179574i | \(0.942528\pi\) | |||||||
\(728\) | −16.4137 | + | 78.6052i | −0.608334 | + | 2.91330i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −3.07450 | + | 11.4742i | −0.113792 | + | 0.424678i | ||||
\(731\) | −1.43150 | − | 2.47942i | −0.0529458 | − | 0.0917048i | ||||
\(732\) | −3.56526 | + | 6.17521i | −0.131776 | + | 0.228242i | ||||
\(733\) | 16.3544 | − | 16.3544i | 0.604062 | − | 0.604062i | −0.337326 | − | 0.941388i | \(-0.609522\pi\) |
0.941388 | + | 0.337326i | \(0.109522\pi\) | |||||||
\(734\) | −11.3980 | − | 42.5379i | −0.420708 | − | 1.57010i | ||||
\(735\) | 0.925565 | + | 3.45425i | 0.0341400 | + | 0.127412i | ||||
\(736\) | −64.2568 | − | 64.2568i | −2.36854 | − | 2.36854i | ||||
\(737\) | 15.1753 | + | 16.2061i | 0.558990 | + | 0.596958i | ||||
\(738\) | 17.4394 | − | 10.0687i | 0.641955 | − | 0.370633i | ||||
\(739\) | −4.99479 | + | 18.6408i | −0.183736 | + | 0.685713i | 0.811161 | + | 0.584823i | \(0.198836\pi\) |
−0.994898 | + | 0.100891i | \(0.967831\pi\) | |||||||
\(740\) | − | 180.948i | − | 6.65177i | ||||||
\(741\) | 0.384062 | + | 0.193958i | 0.0141089 | + | 0.00712524i | ||||
\(742\) | 48.2440 | 1.77109 | ||||||||
\(743\) | 31.9767 | + | 8.56813i | 1.17311 | + | 0.314334i | 0.792191 | − | 0.610273i | \(-0.208940\pi\) |
0.380921 | + | 0.924608i | \(0.375607\pi\) | |||||||
\(744\) | −46.5216 | + | 26.8592i | −1.70556 | + | 0.984707i | ||||
\(745\) | −42.2005 | + | 73.0935i | −1.54611 | + | 2.67794i | ||||
\(746\) | 10.7270 | + | 10.7270i | 0.392743 | + | 0.392743i | ||||
\(747\) | 3.82008 | + | 14.2567i | 0.139769 | + | 0.521626i | ||||
\(748\) | −0.444261 | + | 13.5255i | −0.0162438 | + | 0.494542i | ||||
\(749\) | 10.6882 | − | 10.6882i | 0.390538 | − | 0.390538i | ||||
\(750\) | −53.4221 | − | 30.8433i | −1.95070 | − | 1.12624i | ||||
\(751\) | 7.86414 | − | 4.54036i | 0.286966 | − | 0.165680i | −0.349607 | − | 0.936897i | \(-0.613685\pi\) |
0.636573 | + | 0.771216i | \(0.280351\pi\) | |||||||
\(752\) | 25.0576 | + | 6.71418i | 0.913758 | + | 0.244841i | ||||
\(753\) | − | 23.9865i | − | 0.874116i | ||||||
\(754\) | −27.0385 | − | 41.3107i | −0.984686 | − | 1.50445i | ||||
\(755\) | − | 17.2781i | − | 0.628816i | ||||||
\(756\) | 13.5624 | + | 3.63403i | 0.493260 | + | 0.132168i | ||||
\(757\) | −6.58463 | − | 11.4049i | −0.239323 | − | 0.414519i | 0.721198 | − | 0.692729i | \(-0.243592\pi\) |
−0.960520 | + | 0.278211i | \(0.910259\pi\) | |||||||
\(758\) | −10.4268 | + | 18.0598i | −0.378719 | + | 0.655961i | ||||
\(759\) | 20.1937 | − | 10.7909i | 0.732983 | − | 0.391685i | ||||
\(760\) | 3.63745 | − | 0.974651i | 0.131944 | − | 0.0353543i | ||||
\(761\) | −6.18424 | + | 1.65706i | −0.224178 | + | 0.0600684i | −0.369160 | − | 0.929366i | \(-0.620354\pi\) |
0.144981 | + | 0.989434i | \(0.453688\pi\) | |||||||
\(762\) | −27.3703 | + | 27.3703i | −0.991520 | + | 0.991520i | ||||
\(763\) | −0.742987 | + | 1.28689i | −0.0268979 | + | 0.0465886i | ||||
\(764\) | 39.8984 | − | 23.0353i | 1.44347 | − | 0.833389i | ||||
\(765\) | −0.841709 | + | 3.14130i | −0.0304321 | + | 0.113574i | ||||
\(766\) | 5.04104 | 0.182140 | ||||||||
\(767\) | −29.6583 | + | 19.4118i | −1.07090 | + | 0.700920i | ||||
\(768\) | −5.28655 | −0.190762 | ||||||||
\(769\) | 50.2605 | + | 13.4673i | 1.81244 | + | 0.485642i | 0.995804 | − | 0.0915101i | \(-0.0291694\pi\) |
0.816637 | + | 0.577152i | \(0.195836\pi\) | |||||||
\(770\) | −95.6108 | + | 22.2823i | −3.44557 | + | 0.802998i | ||||
\(771\) | −23.3640 | − | 13.4892i | −0.841435 | − | 0.485803i | ||||
\(772\) | 35.4632 | − | 35.4632i | 1.27635 | − | 1.27635i | ||||
\(773\) | 5.45135 | − | 1.46068i | 0.196071 | − | 0.0525372i | −0.159447 | − | 0.987207i | \(-0.550971\pi\) |
0.355518 | + | 0.934669i | \(0.384304\pi\) | |||||||
\(774\) | −2.39986 | − | 8.95639i | −0.0862611 | − | 0.321931i | ||||
\(775\) | 52.0380 | − | 52.0380i | 1.86926 | − | 1.86926i | ||||
\(776\) | 31.3847 | + | 18.1199i | 1.12664 | + | 0.650468i | ||||
\(777\) | −12.7804 | − | 22.1363i | −0.458494 | − | 0.794135i | ||||
\(778\) | 25.2856 | − | 94.3673i | 0.906534 | − | 3.38323i | ||||
\(779\) | − | 0.908517i | − | 0.0325510i | ||||||
\(780\) | −64.0297 | − | 32.3362i | −2.29263 | − | 1.15782i | ||||
\(781\) | 2.79109 | − | 9.19737i | 0.0998731 | − | 0.329108i | ||||
\(782\) | 3.85964 | − | 14.4044i | 0.138021 | − | 0.515100i | ||||
\(783\) | −4.48350 | + | 2.58855i | −0.160227 | + | 0.0925072i | ||||
\(784\) | 8.53098 | + | 4.92536i | 0.304678 | + | 0.175906i | ||||
\(785\) | 56.0456 | + | 56.0456i | 2.00035 | + | 2.00035i | ||||
\(786\) | 6.65671 | − | 1.78366i | 0.237437 | − | 0.0636210i | ||||
\(787\) | 30.5294 | − | 8.18033i | 1.08826 | − | 0.291597i | 0.330282 | − | 0.943882i | \(-0.392856\pi\) |
0.757974 | + | 0.652285i | \(0.226190\pi\) | |||||||
\(788\) | −47.7958 | − | 47.7958i | −1.70265 | − | 1.70265i | ||||
\(789\) | 7.74890 | + | 4.47383i | 0.275868 | + | 0.159273i | ||||
\(790\) | −71.3086 | + | 41.1700i | −2.53705 | + | 1.46476i | ||||
\(791\) | −6.62681 | + | 24.7316i | −0.235622 | + | 0.879355i | ||||
\(792\) | −7.63245 | + | 25.1509i | −0.271207 | + | 0.893699i | ||||
\(793\) | 1.05184 | − | 5.03724i | 0.0373519 | − | 0.178878i | ||||
\(794\) | 60.6659i | 2.15295i | ||||||||
\(795\) | −6.68895 | + | 24.9635i | −0.237233 | + | 0.885364i | ||||
\(796\) | 14.4529 | + | 25.0332i | 0.512271 | + | 0.887280i | ||||
\(797\) | 22.3770 | + | 12.9194i | 0.792635 | + | 0.457628i | 0.840889 | − | 0.541207i | \(-0.182033\pi\) |
−0.0482544 | + | 0.998835i | \(0.515366\pi\) | |||||||
\(798\) | 0.627239 | − | 0.627239i | 0.0222040 | − | 0.0222040i | ||||
\(799\) | 0.499905 | + | 1.86567i | 0.0176854 | + | 0.0660026i | ||||
\(800\) | −138.043 | + | 36.9884i | −4.88055 | + | 1.30774i | ||||
\(801\) | 6.70607 | − | 6.70607i | 0.236948 | − | 0.236948i | ||||
\(802\) | −36.7483 | − | 21.2166i | −1.29763 | − | 0.749185i | ||||
\(803\) | −3.64296 | + | 0.848998i | −0.128557 | + | 0.0299605i | ||||
\(804\) | 32.3051 | + | 8.65613i | 1.13931 | + | 0.305278i | ||||
\(805\) | 77.2557 | 2.72290 | ||||||||
\(806\) | 43.0836 | − | 48.1956i | 1.51756 | − | 1.69762i | ||||
\(807\) | 5.32350 | 0.187396 | ||||||||
\(808\) | −25.8739 | + | 96.5626i | −0.910240 | + | 3.39706i | ||||
\(809\) | 19.2427 | − | 11.1098i | 0.676537 | − | 0.390599i | −0.122012 | − | 0.992529i | \(-0.538935\pi\) |
0.798549 | + | 0.601930i | \(0.205601\pi\) | |||||||
\(810\) | −5.26630 | + | 9.12149i | −0.185039 | + | 0.320497i | ||||
\(811\) | −7.56357 | + | 7.56357i | −0.265593 | + | 0.265593i | −0.827322 | − | 0.561729i | \(-0.810136\pi\) |
0.561729 | + | 0.827322i | \(0.310136\pi\) | |||||||
\(812\) | −70.2138 | + | 18.8137i | −2.46402 | + | 0.660233i | ||||
\(813\) | −6.75877 | + | 1.81101i | −0.237040 | + | 0.0635147i | ||||
\(814\) | 70.3710 | − | 37.6042i | 2.46650 | − | 1.31803i | ||||
\(815\) | 19.1074 | − | 33.0950i | 0.669303 | − | 1.15927i | ||||
\(816\) | 4.47913 | + | 7.75808i | 0.156801 | + | 0.271587i | ||||
\(817\) | −0.404077 | − | 0.108272i | −0.0141369 | − | 0.00378796i | ||||
\(818\) | − | 11.1549i | − | 0.390021i | ||||||
\(819\) | −10.1170 | + | 0.566586i | −0.353517 | + | 0.0197981i | ||||
\(820\) | 151.465i | 5.28939i | ||||||||
\(821\) | 30.1771 | + | 8.08592i | 1.05319 | + | 0.282200i | 0.743568 | − | 0.668660i | \(-0.233132\pi\) |
0.309619 | + | 0.950861i | \(0.399799\pi\) | |||||||
\(822\) | −16.1712 | + | 9.33645i | −0.564035 | + | 0.325646i | ||||
\(823\) | 8.89044 | + | 5.13290i | 0.309901 | + | 0.178922i | 0.646882 | − | 0.762590i | \(-0.276073\pi\) |
−0.336981 | + | 0.941511i | \(0.609406\pi\) | |||||||
\(824\) | 11.9125 | − | 11.9125i | 0.414991 | − | 0.414991i | ||||
\(825\) | 1.18208 | − | 35.9883i | 0.0411546 | − | 1.25295i | ||||
\(826\) | 18.9140 | + | 70.5879i | 0.658101 | + | 2.45607i | ||||
\(827\) | 18.0640 | + | 18.0640i | 0.628145 | + | 0.628145i | 0.947601 | − | 0.319456i | \(-0.103500\pi\) |
−0.319456 | + | 0.947601i | \(0.603500\pi\) | |||||||
\(828\) | 17.2451 | − | 29.8694i | 0.599309 | − | 1.03803i | ||||
\(829\) | 4.87244 | − | 2.81311i | 0.169227 | − | 0.0977032i | −0.412994 | − | 0.910734i | \(-0.635517\pi\) |
0.582221 | + | 0.813030i | \(0.302184\pi\) | |||||||
\(830\) | −150.160 | − | 40.2353i | −5.21214 | − | 1.39659i | ||||
\(831\) | −29.4987 | −1.02330 | ||||||||
\(832\) | −44.1140 | + | 14.5086i | −1.52938 | + | 0.502994i | ||||
\(833\) | 0.733437i | 0.0254121i | ||||||||
\(834\) | 0.898100 | − | 3.35176i | 0.0310987 | − | 0.116062i | ||||
\(835\) | 4.14490 | − | 2.39306i | 0.143440 | − | 0.0828152i | ||||
\(836\) | 1.35156 | + | 1.44336i | 0.0467446 | + | 0.0499196i | ||||
\(837\) | −4.79316 | − | 4.79316i | −0.165676 | − | 0.165676i | ||||
\(838\) | 10.1681 | + | 37.9479i | 0.351251 | + | 1.31089i | ||||
\(839\) | 8.69471 | + | 32.4491i | 0.300175 | + | 1.12027i | 0.937020 | + | 0.349275i | \(0.113572\pi\) |
−0.636846 | + | 0.770991i | \(0.719761\pi\) | |||||||
\(840\) | −62.7103 | + | 62.7103i | −2.16371 | + | 2.16371i | ||||
\(841\) | −1.09883 | + | 1.90323i | −0.0378908 | + | 0.0656288i | ||||
\(842\) | −3.85440 | − | 6.67601i | −0.132831 | − | 0.230071i | ||||
\(843\) | 4.66969 | − | 17.4275i | 0.160833 | − | 0.600236i | ||||
\(844\) | 62.6133 | 2.15524 | ||||||||
\(845\) | 51.1861 | + | 7.73128i | 1.76085 | + | 0.265964i | ||||
\(846\) | 6.25548i | 0.215068i | ||||||||
\(847\) | −20.3778 | − | 23.2467i | −0.700190 | − | 0.798766i | ||||
\(848\) | 35.5951 | + | 61.6525i | 1.22234 | + | 2.11715i | ||||
\(849\) | 7.55896 | − | 13.0925i | 0.259423 | − | 0.449334i | ||||
\(850\) | −16.5833 | − | 16.5833i | −0.568803 | − | 0.568803i | ||||
\(851\) | −60.6486 | + | 16.2508i | −2.07901 | + | 0.557069i | ||||
\(852\) | −3.74736 | − | 13.9853i | −0.128383 | − | 0.479130i | ||||
\(853\) | −4.96994 | − | 4.96994i | −0.170168 | − | 0.170168i | 0.616885 | − | 0.787053i | \(-0.288394\pi\) |
−0.787053 | + | 0.616885i | \(0.788394\pi\) | |||||||
\(854\) | −9.18772 | − | 5.30453i | −0.314397 | − | 0.181517i | ||||
\(855\) | 0.237594 | + | 0.411525i | 0.00812555 | + | 0.0140739i | ||||
\(856\) | 41.1708 | + | 11.0317i | 1.40719 | + | 0.377056i | ||||
\(857\) | 25.7785 | 0.880575 | 0.440288 | − | 0.897857i | \(-0.354876\pi\) | ||||
0.440288 | + | 0.897857i | \(0.354876\pi\) | |||||||
\(858\) | −0.730918 | − | 31.6214i | −0.0249531 | − | 1.07954i | ||||
\(859\) | −4.61287 | −0.157389 | −0.0786945 | − | 0.996899i | \(-0.525075\pi\) | ||||
−0.0786945 | + | 0.996899i | \(0.525075\pi\) | |||||||
\(860\) | 67.3665 | + | 18.0508i | 2.29718 | + | 0.615527i | ||||
\(861\) | 10.6980 | + | 18.5295i | 0.364588 | + | 0.631485i | ||||
\(862\) | 57.7598 | + | 33.3476i | 1.96731 | + | 1.13583i | ||||
\(863\) | −28.3858 | − | 28.3858i | −0.966263 | − | 0.966263i | 0.0331863 | − | 0.999449i | \(-0.489435\pi\) |
−0.999449 | + | 0.0331863i | \(0.989435\pi\) | |||||||
\(864\) | 3.40696 | + | 12.7149i | 0.115907 | + | 0.432571i | ||||
\(865\) | −67.8007 | + | 18.1671i | −2.30529 | + | 0.617701i | ||||
\(866\) | −55.3975 | − | 55.3975i | −1.88249 | − | 1.88249i | ||||
\(867\) | 8.16651 | − | 14.1448i | 0.277349 | − | 0.480383i | ||||
\(868\) | −47.5882 | − | 82.4251i | −1.61525 | − | 2.79769i | ||||
\(869\) | −22.0168 | − | 13.6943i | −0.746868 | − | 0.464546i | ||||
\(870\) | − | 54.5283i | − | 1.84868i | ||||||
\(871\) | −24.0983 | + | 1.34959i | −0.816540 | + | 0.0457290i | ||||
\(872\) | −4.19023 | −0.141899 | ||||||||
\(873\) | −1.18358 | + | 4.41716i | −0.0400580 | + | 0.149498i | ||||
\(874\) | −1.08948 | − | 1.88704i | −0.0368524 | − | 0.0638302i | ||||
\(875\) | 32.7712 | − | 56.7613i | 1.10787 | − | 1.91888i | ||||
\(876\) | −3.98437 | + | 3.98437i | −0.134619 | + | 0.134619i | ||||
\(877\) | −12.9472 | − | 48.3197i | −0.437197 | − | 1.63164i | −0.735754 | − | 0.677249i | \(-0.763172\pi\) |
0.298557 | − | 0.954392i | \(-0.403495\pi\) | |||||||
\(878\) | −25.2819 | − | 94.3534i | −0.853223 | − | 3.18427i | ||||
\(879\) | 17.8997 | + | 17.8997i | 0.603741 | + | 0.603741i | ||||
\(880\) | −99.0180 | − | 105.744i | −3.33790 | − | 3.56462i | ||||
\(881\) | −16.2242 | + | 9.36702i | −0.546606 | + | 0.315583i | −0.747752 | − | 0.663978i | \(-0.768867\pi\) |
0.201146 | + | 0.979561i | \(0.435533\pi\) | |||||||
\(882\) | −0.614792 | + | 2.29444i | −0.0207011 | + | 0.0772577i | ||||
\(883\) | − | 16.0993i | − | 0.541785i | −0.962610 | − | 0.270892i | \(-0.912681\pi\) | ||
0.962610 | − | 0.270892i | \(-0.0873187\pi\) | |||||||
\(884\) | −10.9682 | − | 9.80480i | −0.368899 | − | 0.329771i | ||||
\(885\) | −39.1476 | −1.31593 | ||||||||
\(886\) | −1.06736 | − | 0.285999i | −0.0358588 | − | 0.00960834i | ||||
\(887\) | 45.6294 | − | 26.3441i | 1.53208 | − | 0.884549i | 0.532819 | − | 0.846229i | \(-0.321133\pi\) |
0.999266 | − | 0.0383202i | \(-0.0122007\pi\) | |||||||
\(888\) | 36.0388 | − | 62.4211i | 1.20938 | − | 2.09472i | ||||
\(889\) | −29.0811 | − | 29.0811i | −0.975348 | − | 0.975348i | ||||
\(890\) | 25.8532 | + | 96.4856i | 0.866602 | + | 3.23420i | ||||
\(891\) | −3.31484 | − | 0.108880i | −0.111051 | − | 0.00364760i | ||||
\(892\) | −5.78360 | + | 5.78360i | −0.193649 | + | 0.193649i | ||||
\(893\) | 0.244412 | + | 0.141111i | 0.00817892 | + | 0.00472210i | ||||
\(894\) | −48.5512 | + | 28.0311i | −1.62380 | + | 0.937499i | ||||
\(895\) | 30.5902 | + | 8.19663i | 1.02252 | + | 0.273983i | ||||
\(896\) | 21.7526i | 0.726705i | ||||||||
\(897\) | −5.08773 | + | 24.3651i | −0.169874 | + | 0.813526i | ||||
\(898\) | 86.0993i | 2.87317i | ||||||||
\(899\) | 33.8974 | + | 9.08279i | 1.13054 | + | 0.302928i | ||||
\(900\) | −27.1207 | − | 46.9745i | −0.904024 | − | 1.56582i | ||||
\(901\) | −2.65023 | + | 4.59034i | −0.0882921 | + | 0.152926i | ||||
\(902\) | −58.9052 | + | 31.4772i | −1.96133 | + | 1.04808i | ||||
\(903\) | 9.51623 | − | 2.54987i | 0.316680 | − | 0.0848542i | ||||
\(904\) | −69.7396 | + | 18.6867i | −2.31950 | + | 0.621509i | ||||
\(905\) | −16.8197 | + | 16.8197i | −0.559105 | + | 0.559105i | ||||
\(906\) | 5.73837 | − | 9.93915i | 0.190645 | − | 0.330206i | ||||
\(907\) | 8.30573 | − | 4.79532i | 0.275787 | − | 0.159226i | −0.355727 | − | 0.934590i | \(-0.615767\pi\) |
0.631515 | + | 0.775364i | \(0.282434\pi\) | |||||||
\(908\) | −3.54218 | + | 13.2196i | −0.117551 | + | 0.438707i | ||||
\(909\) | −12.6147 | −0.418405 | ||||||||
\(910\) | 48.1110 | − | 95.2660i | 1.59486 | − | 3.15804i | ||||
\(911\) | 44.6508 | 1.47935 | 0.739674 | − | 0.672965i | \(-0.234980\pi\) | ||||
0.739674 | + | 0.672965i | \(0.234980\pi\) | |||||||
\(912\) | 1.26435 | + | 0.338782i | 0.0418668 | + | 0.0112182i | ||||
\(913\) | −11.1107 | − | 47.6746i | −0.367709 | − | 1.57780i | ||||
\(914\) | 4.08902 | + | 2.36079i | 0.135253 | + | 0.0780881i | ||||
\(915\) | 4.01865 | − | 4.01865i | 0.132852 | − | 0.132852i | ||||
\(916\) | −47.3921 | + | 12.6987i | −1.56588 | + | 0.419576i | ||||
\(917\) | 1.89515 | + | 7.07280i | 0.0625834 | + | 0.233564i | ||||
\(918\) | −1.52747 | + | 1.52747i | −0.0504140 | + | 0.0504140i | ||||
\(919\) | 25.5954 | + | 14.7775i | 0.844313 | + | 0.487464i | 0.858728 | − | 0.512432i | \(-0.171255\pi\) |
−0.0144151 | + | 0.999896i | \(0.504589\pi\) | |||||||
\(920\) | 108.925 | + | 188.663i | 3.59115 | + | 6.22005i | ||||
\(921\) | −0.724771 | + | 2.70488i | −0.0238820 | + | 0.0891289i | ||||
\(922\) | 27.1933i | 0.895564i | ||||||||
\(923\) | 5.72223 | + | 8.74269i | 0.188350 | + | 0.287769i | ||||
\(924\) | −44.5615 | − | 13.5229i | −1.46596 | − | 0.444871i | ||||
\(925\) | −25.5569 | + | 95.3798i | −0.840307 | + | 3.13607i | ||||
\(926\) | −21.6488 | + | 12.4990i | −0.711425 | + | 0.410741i | ||||
\(927\) | 1.84103 | + | 1.06292i | 0.0604674 | + | 0.0349109i | ||||
\(928\) | −48.1883 | − | 48.1883i | −1.58186 | − | 1.58186i | ||||
\(929\) | −27.3114 | + | 7.31806i | −0.896057 | + | 0.240098i | −0.677322 | − | 0.735686i | \(-0.736860\pi\) |
−0.218735 | + | 0.975784i | \(0.570193\pi\) | |||||||
\(930\) | 68.9629 | − | 18.4786i | 2.26138 | − | 0.605936i | ||||
\(931\) | 0.0757788 | + | 0.0757788i | 0.00248355 | + | 0.00248355i | ||||
\(932\) | −30.4172 | − | 17.5614i | −0.996350 | − | 0.575243i | ||||
\(933\) | 22.7027 | − | 13.1074i | 0.743253 | − | 0.429117i | ||||
\(934\) | −7.25282 | + | 27.0679i | −0.237320 | + | 0.885688i | ||||
\(935\) | 3.13215 | − | 10.3213i | 0.102432 | − | 0.337541i | ||||
\(936\) | −15.6479 | − | 23.9075i | −0.511467 | − | 0.781443i | ||||
\(937\) | − | 36.1973i | − | 1.18251i | −0.806484 | − | 0.591256i | \(-0.798632\pi\) | ||
0.806484 | − | 0.591256i | \(-0.201368\pi\) | |||||||
\(938\) | −12.8789 | + | 48.0648i | −0.420512 | + | 1.56937i | ||||
\(939\) | 6.14229 | + | 10.6388i | 0.200446 | + | 0.347183i | ||||
\(940\) | −40.7476 | − | 23.5256i | −1.32904 | − | 0.767321i | ||||
\(941\) | 6.15479 | − | 6.15479i | 0.200640 | − | 0.200640i | −0.599634 | − | 0.800274i | \(-0.704687\pi\) |
0.800274 | + | 0.599634i | \(0.204687\pi\) | |||||||
\(942\) | 13.6262 | + | 50.8536i | 0.443965 | + | 1.65690i | ||||
\(943\) | 50.7669 | − | 13.6030i | 1.65320 | − | 0.442973i | ||||
\(944\) | −76.2513 | + | 76.2513i | −2.48177 | + | 2.48177i | ||||
\(945\) | −9.69165 | − | 5.59547i | −0.315269 | − | 0.182021i | ||||
\(946\) | 6.97997 | + | 29.9503i | 0.226938 | + | 0.973768i | ||||
\(947\) | 2.23221 | + | 0.598119i | 0.0725370 | + | 0.0194362i | 0.294905 | − | 0.955527i | \(-0.404712\pi\) |
−0.222368 | + | 0.974963i | \(0.571379\pi\) | |||||||
\(948\) | −39.0579 | −1.26854 | ||||||||
\(949\) | 1.83312 | − | 3.62982i | 0.0595057 | − | 0.117829i | ||||
\(950\) | −3.42678 | −0.111180 | ||||||||
\(951\) | −4.73060 | + | 17.6549i | −0.153400 | + | 0.572498i | ||||
\(952\) | −15.7520 | + | 9.09444i | −0.510527 | + | 0.294753i | ||||
\(953\) | −14.7741 | + | 25.5894i | −0.478579 | + | 0.828923i | −0.999698 | − | 0.0245609i | \(-0.992181\pi\) |
0.521120 | + | 0.853484i | \(0.325515\pi\) | |||||||
\(954\) | −12.1386 | + | 12.1386i | −0.393002 | + | 0.393002i | ||||
\(955\) | −35.4685 | + | 9.50375i | −1.14773 | + | 0.307534i | ||||
\(956\) | 31.2485 | − | 8.37300i | 1.01065 | − | 0.270802i | ||||
\(957\) | 15.1439 | − | 8.09246i | 0.489533 | − | 0.261592i | ||||
\(958\) | −48.6676 | + | 84.2947i | −1.57238 | + | 2.72344i | ||||
\(959\) | −9.92004 | − | 17.1820i | −0.320335 | − | 0.554836i | ||||
\(960\) | −49.5402 | − | 13.2743i | −1.59890 | − | 0.428425i | ||||
\(961\) | 14.9487i | 0.482215i | ||||||||
\(962\) | −17.7298 | + | 84.9076i | −0.571630 | + | 2.73753i | ||||
\(963\) | 5.37847i | 0.173319i | ||||||||
\(964\) | −22.0265 | − | 5.90199i | −0.709426 | − | 0.190090i | ||||
\(965\) | −34.6177 | + | 19.9865i | −1.11438 | + | 0.643389i | ||||
\(966\) | 44.4409 | + | 25.6580i | 1.42986 | + | 0.825531i | ||||
\(967\) | −18.3692 | + | 18.3692i | −0.590713 | + | 0.590713i | −0.937824 | − | 0.347111i | \(-0.887163\pi\) |
0.347111 | + | 0.937824i | \(0.387163\pi\) | |||||||
\(968\) | 28.0388 | − | 82.5402i | 0.901200 | − | 2.65294i | ||||
\(969\) | 0.0252240 | + | 0.0941374i | 0.000810313 | + | 0.00302413i | ||||
\(970\) | −34.0581 | − | 34.0581i | −1.09354 | − | 1.09354i | ||||
\(971\) | −9.61751 | + | 16.6580i | −0.308641 | + | 0.534581i | −0.978065 | − | 0.208299i | \(-0.933207\pi\) |
0.669425 | + | 0.742880i | \(0.266541\pi\) | |||||||
\(972\) | −4.32676 | + | 2.49806i | −0.138781 | + | 0.0801252i | ||||
\(973\) | 3.56126 | + | 0.954237i | 0.114169 | + | 0.0305914i | ||||
\(974\) | −81.0054 | −2.59558 | ||||||||
\(975\) | 29.1837 | + | 26.0883i | 0.934628 | + | 0.835495i | ||||
\(976\) | − | 15.6550i | − | 0.501104i | ||||||
\(977\) | 8.16188 | − | 30.4606i | 0.261122 | − | 0.974520i | −0.703460 | − | 0.710735i | \(-0.748362\pi\) |
0.964582 | − | 0.263785i | \(-0.0849708\pi\) | |||||||
\(978\) | 21.9828 | − | 12.6918i | 0.702933 | − | 0.405839i | ||||
\(979\) | −22.9597 | + | 21.4994i | −0.733795 | + | 0.687124i | ||||
\(980\) | −12.6336 | − | 12.6336i | −0.403566 | − | 0.403566i | ||||
\(981\) | −0.136851 | − | 0.510734i | −0.00436931 | − | 0.0163065i | ||||
\(982\) | 3.51045 | + | 13.1012i | 0.112023 | + | 0.418075i | ||||
\(983\) | −32.9232 | + | 32.9232i | −1.05009 | + | 1.05009i | −0.0514099 | + | 0.998678i | \(0.516371\pi\) |
−0.998678 | + | 0.0514099i | \(0.983629\pi\) | |||||||
\(984\) | −30.1669 | + | 52.2506i | −0.961686 | + | 1.66569i | ||||
\(985\) | 26.9370 | + | 46.6562i | 0.858283 | + | 1.48659i | ||||
\(986\) | 2.89448 | − | 10.8023i | 0.0921789 | − | 0.344016i | ||||
\(987\) | −6.64648 | −0.211560 | ||||||||
\(988\) | −2.14627 | + | 0.120198i | −0.0682818 | + | 0.00382401i | ||||
\(989\) | − | 24.2005i | − | 0.769531i | ||||||
\(990\) | 18.4501 | − | 29.6629i | 0.586381 | − | 0.942748i | ||||
\(991\) | −4.22928 | − | 7.32533i | −0.134348 | − | 0.232697i | 0.791000 | − | 0.611816i | \(-0.209561\pi\) |
−0.925348 | + | 0.379119i | \(0.876227\pi\) | |||||||
\(992\) | 44.6146 | − | 77.2748i | 1.41652 | − | 2.45348i | ||||
\(993\) | −22.4996 | − | 22.4996i | −0.714003 | − | 0.714003i | ||||
\(994\) | 20.8080 | − | 5.57547i | 0.659988 | − | 0.176843i | ||||
\(995\) | −5.96289 | − | 22.2538i | −0.189036 | − | 0.705493i | ||||
\(996\) | −52.1427 | − | 52.1427i | −1.65220 | − | 1.65220i | ||||
\(997\) | −2.16322 | − | 1.24894i | −0.0685099 | − | 0.0395542i | 0.465354 | − | 0.885125i | \(-0.345927\pi\) |
−0.533864 | + | 0.845571i | \(0.679260\pi\) | |||||||
\(998\) | 20.9831 | + | 36.3437i | 0.664207 | + | 1.15044i | ||||
\(999\) | 8.78532 | + | 2.35402i | 0.277955 | + | 0.0744779i |
(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 | 429.2.bd.a.76.14 | yes | 56 | |
11.10 | odd | 2 | inner | 429.2.bd.a.76.1 | ✓ | 56 | |
13.6 | odd | 12 | inner | 429.2.bd.a.175.1 | yes | 56 | |
143.32 | even | 12 | inner | 429.2.bd.a.175.14 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bd.a.76.1 | ✓ | 56 | 11.10 | odd | 2 | inner | |
429.2.bd.a.76.14 | yes | 56 | 1.1 | even | 1 | trivial | |
429.2.bd.a.175.1 | yes | 56 | 13.6 | odd | 12 | inner | |
429.2.bd.a.175.14 | yes | 56 | 143.32 | even | 12 | inner |