Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,3,Mod(61,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 0, 10]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.61");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bv (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: | \(9.15533688251\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 325.35 | ||
Character | \(\chi\) | \(=\) | 336.325 |
Dual form | 336.3.bv.a.61.35 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.371304 | + | 1.96523i | 0.185652 | + | 0.982616i | ||||
\(3\) | −1.67303 | + | 0.448288i | −0.557678 | + | 0.149429i | ||||
\(4\) | −3.72427 | + | 1.45940i | −0.931067 | + | 0.364849i | ||||
\(5\) | 5.47260 | + | 1.46638i | 1.09452 | + | 0.293276i | 0.760531 | − | 0.649301i | \(-0.224939\pi\) |
0.333989 | + | 0.942577i | \(0.391605\pi\) | |||||||
\(6\) | −1.50219 | − | 3.12144i | −0.250366 | − | 0.520241i | ||||
\(7\) | −1.24400 | − | 6.88857i | −0.177714 | − | 0.984082i | ||||
\(8\) | −4.25089 | − | 6.77716i | −0.531361 | − | 0.847145i | ||||
\(9\) | 2.59808 | − | 1.50000i | 0.288675 | − | 0.166667i | ||||
\(10\) | −0.849773 | + | 11.2994i | −0.0849773 | + | 1.12994i | ||||
\(11\) | −16.2920 | + | 4.36543i | −1.48109 | + | 0.396857i | −0.906719 | − | 0.421736i | \(-0.861421\pi\) |
−0.574373 | + | 0.818594i | \(0.694754\pi\) | |||||||
\(12\) | 5.57659 | − | 4.11116i | 0.464716 | − | 0.342597i | ||||
\(13\) | −17.7032 | − | 17.7032i | −1.36178 | − | 1.36178i | −0.871647 | − | 0.490135i | \(-0.836948\pi\) |
−0.490135 | − | 0.871647i | \(-0.663052\pi\) | |||||||
\(14\) | 13.0757 | − | 5.00251i | 0.933981 | − | 0.357322i | ||||
\(15\) | −9.81319 | −0.654213 | ||||||||
\(16\) | 11.7403 | − | 10.8704i | 0.733770 | − | 0.679398i | ||||
\(17\) | 4.91334 | + | 2.83672i | 0.289020 | + | 0.166866i | 0.637500 | − | 0.770450i | \(-0.279969\pi\) |
−0.348480 | + | 0.937316i | \(0.613302\pi\) | |||||||
\(18\) | 3.91252 | + | 4.54886i | 0.217362 | + | 0.252715i | ||||
\(19\) | 3.96048 | − | 14.7807i | 0.208446 | − | 0.777932i | −0.779925 | − | 0.625873i | \(-0.784743\pi\) |
0.988371 | − | 0.152059i | \(-0.0485905\pi\) | |||||||
\(20\) | −22.5214 | + | 2.52551i | −1.12607 | + | 0.126276i | ||||
\(21\) | 5.16932 | + | 10.9671i | 0.246158 | + | 0.522245i | ||||
\(22\) | −14.6284 | − | 30.3967i | −0.664926 | − | 1.38167i | ||||
\(23\) | −29.4512 | + | 17.0037i | −1.28049 | + | 0.739289i | −0.976937 | − | 0.213526i | \(-0.931505\pi\) |
−0.303549 | + | 0.952816i | \(0.598172\pi\) | |||||||
\(24\) | 10.1500 | + | 9.43279i | 0.422916 | + | 0.393033i | ||||
\(25\) | 6.14843 | + | 3.54980i | 0.245937 | + | 0.141992i | ||||
\(26\) | 28.2175 | − | 41.3641i | 1.08529 | − | 1.59093i | ||||
\(27\) | −3.67423 | + | 3.67423i | −0.136083 | + | 0.136083i | ||||
\(28\) | 14.6862 | + | 23.8394i | 0.524506 | + | 0.851407i | ||||
\(29\) | 18.7595 | − | 18.7595i | 0.646878 | − | 0.646878i | −0.305359 | − | 0.952237i | \(-0.598777\pi\) |
0.952237 | + | 0.305359i | \(0.0987765\pi\) | |||||||
\(30\) | −3.64368 | − | 19.2852i | −0.121456 | − | 0.642840i | ||||
\(31\) | −12.9915 | − | 7.50062i | −0.419079 | − | 0.241956i | 0.275604 | − | 0.961271i | \(-0.411122\pi\) |
−0.694683 | + | 0.719316i | \(0.744455\pi\) | |||||||
\(32\) | 25.7220 | + | 19.0362i | 0.803813 | + | 0.594882i | ||||
\(33\) | 25.3001 | − | 14.6070i | 0.766670 | − | 0.442637i | ||||
\(34\) | −3.75047 | + | 10.7091i | −0.110308 | + | 0.314975i | ||||
\(35\) | 3.29334 | − | 39.5226i | 0.0940954 | − | 1.12922i | ||||
\(36\) | −7.48683 | + | 9.37802i | −0.207968 | + | 0.260501i | ||||
\(37\) | 10.7520 | − | 40.1271i | 0.290595 | − | 1.08452i | −0.654058 | − | 0.756445i | \(-0.726935\pi\) |
0.944653 | − | 0.328071i | \(-0.106399\pi\) | |||||||
\(38\) | 30.5181 | + | 2.29512i | 0.803107 | + | 0.0603978i | ||||
\(39\) | 37.5541 | + | 21.6819i | 0.962925 | + | 0.555945i | ||||
\(40\) | −13.3255 | − | 43.3221i | −0.333138 | − | 1.08305i | ||||
\(41\) | 73.7328 | 1.79836 | 0.899181 | − | 0.437577i | \(-0.144163\pi\) | ||||
0.899181 | + | 0.437577i | \(0.144163\pi\) | |||||||
\(42\) | −19.6336 | + | 14.2310i | −0.467466 | + | 0.338835i | ||||
\(43\) | 21.1854 | + | 21.1854i | 0.492685 | + | 0.492685i | 0.909151 | − | 0.416466i | \(-0.136732\pi\) |
−0.416466 | + | 0.909151i | \(0.636732\pi\) | |||||||
\(44\) | 54.3049 | − | 40.0345i | 1.23420 | − | 0.909876i | ||||
\(45\) | 16.4178 | − | 4.39913i | 0.364840 | − | 0.0977586i | ||||
\(46\) | −44.3515 | − | 51.5649i | −0.964162 | − | 1.12098i | ||||
\(47\) | −23.1350 | + | 13.3570i | −0.492235 | + | 0.284192i | −0.725501 | − | 0.688221i | \(-0.758392\pi\) |
0.233266 | + | 0.972413i | \(0.425059\pi\) | |||||||
\(48\) | −14.7689 | + | 23.4495i | −0.307685 | + | 0.488532i | ||||
\(49\) | −45.9049 | + | 17.1388i | −0.936835 | + | 0.349771i | ||||
\(50\) | −4.69323 | + | 13.4011i | −0.0938647 | + | 0.268023i | ||||
\(51\) | −9.49185 | − | 2.54333i | −0.186115 | − | 0.0498693i | ||||
\(52\) | 91.7672 | + | 40.0953i | 1.76475 | + | 0.771064i | ||||
\(53\) | −66.9387 | + | 17.9362i | −1.26300 | + | 0.338419i | −0.827343 | − | 0.561697i | \(-0.810149\pi\) |
−0.435652 | + | 0.900115i | \(0.643482\pi\) | |||||||
\(54\) | −8.58498 | − | 5.85646i | −0.158981 | − | 0.108453i | ||||
\(55\) | −95.5610 | −1.73747 | ||||||||
\(56\) | −41.3969 | + | 37.7134i | −0.739230 | + | 0.673453i | ||||
\(57\) | 26.5041i | 0.464983i | ||||||||
\(58\) | 43.8322 | + | 29.9012i | 0.755727 | + | 0.515538i | ||||
\(59\) | −18.9722 | − | 70.8053i | −0.321563 | − | 1.20009i | −0.917722 | − | 0.397223i | \(-0.869974\pi\) |
0.596159 | − | 0.802866i | \(-0.296693\pi\) | |||||||
\(60\) | 36.5469 | − | 14.3213i | 0.609116 | − | 0.238689i | ||||
\(61\) | −16.4776 | + | 61.4951i | −0.270124 | + | 1.00812i | 0.688915 | + | 0.724842i | \(0.258087\pi\) |
−0.959039 | + | 0.283274i | \(0.908579\pi\) | |||||||
\(62\) | 9.91667 | − | 28.3162i | 0.159946 | − | 0.456713i | ||||
\(63\) | −13.5649 | − | 16.0310i | −0.215315 | − | 0.254461i | ||||
\(64\) | −27.8599 | + | 57.6179i | −0.435311 | + | 0.900280i | ||||
\(65\) | −70.9227 | − | 122.842i | −1.09112 | − | 1.88987i | ||||
\(66\) | 38.1002 | + | 44.2969i | 0.577276 | + | 0.671165i | ||||
\(67\) | −9.66353 | − | 36.0648i | −0.144232 | − | 0.538280i | −0.999788 | − | 0.0205711i | \(-0.993452\pi\) |
0.855557 | − | 0.517709i | \(-0.173215\pi\) | |||||||
\(68\) | −22.4385 | − | 3.39418i | −0.329978 | − | 0.0499144i | ||||
\(69\) | 41.6503 | − | 41.6503i | 0.603627 | − | 0.603627i | ||||
\(70\) | 78.8938 | − | 8.20273i | 1.12705 | − | 0.117182i | ||||
\(71\) | − | 4.09974i | − | 0.0577428i | −0.999583 | − | 0.0288714i | \(-0.990809\pi\) | ||
0.999583 | − | 0.0288714i | \(-0.00919133\pi\) | |||||||
\(72\) | −21.2099 | − | 11.2313i | −0.294582 | − | 0.155990i | ||||
\(73\) | −66.4417 | + | 115.080i | −0.910160 | + | 1.57644i | −0.0963234 | + | 0.995350i | \(0.530708\pi\) |
−0.813837 | + | 0.581094i | \(0.802625\pi\) | |||||||
\(74\) | 82.8513 | + | 6.23085i | 1.11961 | + | 0.0842006i | ||||
\(75\) | −11.8779 | − | 3.18266i | −0.158371 | − | 0.0424355i | ||||
\(76\) | 6.82105 | + | 60.8272i | 0.0897507 | + | 0.800358i | ||||
\(77\) | 50.3389 | + | 106.798i | 0.653752 | + | 1.38699i | ||||
\(78\) | −28.6659 | + | 81.8530i | −0.367511 | + | 1.04940i | ||||
\(79\) | −20.4157 | − | 35.3611i | −0.258427 | − | 0.447608i | 0.707394 | − | 0.706820i | \(-0.249871\pi\) |
−0.965821 | + | 0.259211i | \(0.916537\pi\) | |||||||
\(80\) | 80.1901 | − | 42.2734i | 1.00238 | − | 0.528418i | ||||
\(81\) | 4.50000 | − | 7.79423i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | 27.3773 | + | 144.902i | 0.333870 | + | 1.76710i | ||||
\(83\) | −25.0898 | − | 25.0898i | −0.302287 | − | 0.302287i | 0.539621 | − | 0.841908i | \(-0.318567\pi\) |
−0.841908 | + | 0.539621i | \(0.818567\pi\) | |||||||
\(84\) | −35.2573 | − | 33.3005i | −0.419730 | − | 0.396434i | ||||
\(85\) | 22.7291 | + | 22.7291i | 0.267401 | + | 0.267401i | ||||
\(86\) | −33.7681 | + | 49.5005i | −0.392652 | + | 0.575588i | ||||
\(87\) | −22.9756 | + | 39.7948i | −0.264087 | + | 0.457412i | ||||
\(88\) | 98.8408 | + | 91.8566i | 1.12319 | + | 1.04383i | ||||
\(89\) | −2.52926 | − | 4.38081i | −0.0284187 | − | 0.0492226i | 0.851466 | − | 0.524409i | \(-0.175714\pi\) |
−0.879885 | + | 0.475187i | \(0.842381\pi\) | |||||||
\(90\) | 14.7413 | + | 30.6313i | 0.163792 | + | 0.340348i | ||||
\(91\) | −99.9268 | + | 143.972i | −1.09810 | + | 1.58211i | ||||
\(92\) | 84.8690 | − | 106.307i | 0.922489 | − | 1.15551i | ||||
\(93\) | 25.0976 | + | 6.72487i | 0.269866 | + | 0.0723105i | ||||
\(94\) | −34.8398 | − | 40.5062i | −0.370636 | − | 0.430917i | ||||
\(95\) | 43.3482 | − | 75.0814i | 0.456297 | − | 0.790330i | ||||
\(96\) | −51.5675 | − | 20.3174i | −0.537161 | − | 0.211639i | ||||
\(97\) | 29.6822i | 0.306002i | 0.988226 | + | 0.153001i | \(0.0488938\pi\) | ||||
−0.988226 | + | 0.153001i | \(0.951106\pi\) | |||||||
\(98\) | −50.7264 | − | 83.8501i | −0.517616 | − | 0.855613i | ||||
\(99\) | −35.7797 | + | 35.7797i | −0.361411 | + | 0.361411i | ||||
\(100\) | −28.0790 | − | 4.24739i | −0.280790 | − | 0.0424739i | ||||
\(101\) | 6.98560 | + | 26.0706i | 0.0691644 | + | 0.258125i | 0.991847 | − | 0.127436i | \(-0.0406747\pi\) |
−0.922682 | + | 0.385561i | \(0.874008\pi\) | |||||||
\(102\) | 1.47387 | − | 19.5980i | 0.0144497 | − | 0.192138i | ||||
\(103\) | 5.37211 | + | 9.30477i | 0.0521564 | + | 0.0903376i | 0.890925 | − | 0.454151i | \(-0.150057\pi\) |
−0.838768 | + | 0.544488i | \(0.816724\pi\) | |||||||
\(104\) | −44.7230 | + | 195.231i | −0.430029 | + | 1.87722i | ||||
\(105\) | 12.2076 | + | 67.5989i | 0.116263 | + | 0.643799i | ||||
\(106\) | −60.1034 | − | 124.890i | −0.567013 | − | 1.17821i | ||||
\(107\) | 37.6390 | − | 140.471i | 0.351767 | − | 1.31281i | −0.532738 | − | 0.846280i | \(-0.678837\pi\) |
0.884505 | − | 0.466531i | \(-0.154496\pi\) | |||||||
\(108\) | 8.32166 | − | 19.0460i | 0.0770524 | − | 0.176352i | ||||
\(109\) | −43.1716 | − | 161.119i | −0.396070 | − | 1.47815i | −0.819950 | − | 0.572435i | \(-0.805999\pi\) |
0.423880 | − | 0.905718i | \(-0.360668\pi\) | |||||||
\(110\) | −35.4822 | − | 187.799i | −0.322565 | − | 1.70727i | ||||
\(111\) | 71.9539i | 0.648234i | ||||||||
\(112\) | −89.4863 | − | 67.3513i | −0.798985 | − | 0.601351i | ||||
\(113\) | −2.00439 | −0.0177380 | −0.00886898 | − | 0.999961i | \(-0.502823\pi\) | ||||
−0.00886898 | + | 0.999961i | \(0.502823\pi\) | |||||||
\(114\) | −52.0866 | + | 9.84107i | −0.456900 | + | 0.0863252i | ||||
\(115\) | −186.108 | + | 49.8676i | −1.61833 | + | 0.433631i | ||||
\(116\) | −42.4877 | + | 97.2428i | −0.366274 | + | 0.838300i | ||||
\(117\) | −72.5489 | − | 19.4394i | −0.620076 | − | 0.166149i | ||||
\(118\) | 132.104 | − | 63.5751i | 1.11953 | − | 0.538772i | ||||
\(119\) | 13.4288 | − | 37.3748i | 0.112847 | − | 0.314074i | ||||
\(120\) | 41.7148 | + | 66.5056i | 0.347623 | + | 0.554214i | ||||
\(121\) | 141.584 | − | 81.7433i | 1.17011 | − | 0.675564i | ||||
\(122\) | −126.970 | − | 9.54883i | −1.04074 | − | 0.0782691i | ||||
\(123\) | −123.357 | + | 33.0535i | −1.00291 | + | 0.268728i | ||||
\(124\) | 59.3300 | + | 8.97461i | 0.478468 | + | 0.0723759i | ||||
\(125\) | −71.7130 | − | 71.7130i | −0.573704 | − | 0.573704i | ||||
\(126\) | 26.4680 | − | 32.6105i | 0.210064 | − | 0.258813i | ||||
\(127\) | 6.29435 | 0.0495618 | 0.0247809 | − | 0.999693i | \(-0.492111\pi\) | ||||
0.0247809 | + | 0.999693i | \(0.492111\pi\) | |||||||
\(128\) | −123.577 | − | 33.3573i | −0.965446 | − | 0.260604i | ||||
\(129\) | −44.9411 | − | 25.9468i | −0.348381 | − | 0.201138i | ||||
\(130\) | 215.079 | − | 184.991i | 1.65445 | − | 1.42301i | ||||
\(131\) | −50.0488 | + | 186.785i | −0.382052 | + | 1.42584i | 0.460710 | + | 0.887551i | \(0.347595\pi\) |
−0.842762 | + | 0.538286i | \(0.819072\pi\) | |||||||
\(132\) | −72.9068 | + | 91.3233i | −0.552325 | + | 0.691843i | ||||
\(133\) | −106.745 | − | 8.89484i | −0.802593 | − | 0.0668785i | ||||
\(134\) | 67.2875 | − | 32.3821i | 0.502146 | − | 0.241657i | ||||
\(135\) | −25.4954 | + | 14.7198i | −0.188855 | + | 0.109035i | ||||
\(136\) | −1.66116 | − | 45.3571i | −0.0122144 | − | 0.333508i | ||||
\(137\) | 135.668 | + | 78.3279i | 0.990276 | + | 0.571736i | 0.905357 | − | 0.424652i | \(-0.139603\pi\) |
0.0849193 | + | 0.996388i | \(0.472937\pi\) | |||||||
\(138\) | 97.3174 | + | 66.3875i | 0.705198 | + | 0.481069i | ||||
\(139\) | −89.5730 | + | 89.5730i | −0.644410 | + | 0.644410i | −0.951637 | − | 0.307226i | \(-0.900599\pi\) |
0.307226 | + | 0.951637i | \(0.400599\pi\) | |||||||
\(140\) | 45.4139 | + | 151.999i | 0.324385 | + | 1.08571i | ||||
\(141\) | 32.7179 | − | 32.7179i | 0.232042 | − | 0.232042i | ||||
\(142\) | 8.05693 | − | 1.52225i | 0.0567390 | − | 0.0107201i | ||||
\(143\) | 365.702 | + | 211.138i | 2.55736 | + | 1.47649i | ||||
\(144\) | 14.1967 | − | 45.8525i | 0.0985881 | − | 0.318420i | ||||
\(145\) | 130.171 | − | 75.1545i | 0.897734 | − | 0.518307i | ||||
\(146\) | −250.830 | − | 87.8434i | −1.71801 | − | 0.601667i | ||||
\(147\) | 69.1173 | − | 49.2524i | 0.470186 | − | 0.335050i | ||||
\(148\) | 18.5180 | + | 165.135i | 0.125121 | + | 1.11578i | ||||
\(149\) | 45.1142 | − | 168.368i | 0.302780 | − | 1.12999i | −0.632060 | − | 0.774919i | \(-0.717790\pi\) |
0.934840 | − | 0.355070i | \(-0.115543\pi\) | |||||||
\(150\) | 1.84437 | − | 24.5245i | 0.0122958 | − | 0.163496i | ||||
\(151\) | −47.8118 | − | 27.6042i | −0.316635 | − | 0.182809i | 0.333257 | − | 0.942836i | \(-0.391852\pi\) |
−0.649892 | + | 0.760027i | \(0.725186\pi\) | |||||||
\(152\) | −117.007 | + | 35.9904i | −0.769782 | + | 0.236779i | ||||
\(153\) | 17.0203 | 0.111244 | ||||||||
\(154\) | −191.192 | + | 138.582i | −1.24151 | + | 0.899884i | ||||
\(155\) | −60.0983 | − | 60.0983i | −0.387731 | − | 0.387731i | ||||
\(156\) | −171.504 | − | 25.9427i | −1.09938 | − | 0.166299i | ||||
\(157\) | −107.675 | + | 28.8514i | −0.685827 | + | 0.183767i | −0.584874 | − | 0.811124i | \(-0.698856\pi\) |
−0.100953 | + | 0.994891i | \(0.532189\pi\) | |||||||
\(158\) | 61.9122 | − | 53.2513i | 0.391849 | − | 0.337034i | ||||
\(159\) | 103.950 | − | 60.0156i | 0.653774 | − | 0.377457i | ||||
\(160\) | 112.852 | + | 141.896i | 0.705325 | + | 0.886849i | ||||
\(161\) | 153.768 | + | 181.724i | 0.955082 | + | 1.12872i | ||||
\(162\) | 16.9883 | + | 5.94951i | 0.104866 | + | 0.0367254i | ||||
\(163\) | 63.3583 | + | 16.9768i | 0.388701 | + | 0.104152i | 0.447876 | − | 0.894095i | \(-0.352180\pi\) |
−0.0591753 | + | 0.998248i | \(0.518847\pi\) | |||||||
\(164\) | −274.601 | + | 107.605i | −1.67439 | + | 0.656131i | ||||
\(165\) | 159.877 | − | 42.8388i | 0.968949 | − | 0.259629i | ||||
\(166\) | 39.9913 | − | 58.6232i | 0.240911 | − | 0.353152i | ||||
\(167\) | 19.3847 | 0.116076 | 0.0580381 | − | 0.998314i | \(-0.481516\pi\) | ||||
0.0580381 | + | 0.998314i | \(0.481516\pi\) | |||||||
\(168\) | 52.3519 | − | 81.6534i | 0.311618 | − | 0.486032i | ||||
\(169\) | 457.804i | 2.70890i | ||||||||
\(170\) | −36.2284 | + | 53.1072i | −0.213109 | + | 0.312396i | ||||
\(171\) | −11.8814 | − | 44.3421i | −0.0694821 | − | 0.259311i | ||||
\(172\) | −109.818 | − | 47.9823i | −0.638478 | − | 0.278967i | ||||
\(173\) | 6.80585 | − | 25.3998i | 0.0393402 | − | 0.146819i | −0.943462 | − | 0.331480i | \(-0.892452\pi\) |
0.982802 | + | 0.184661i | \(0.0591186\pi\) | |||||||
\(174\) | −86.7370 | − | 30.3763i | −0.498488 | − | 0.174576i | ||||
\(175\) | 16.8044 | − | 46.7699i | 0.0960251 | − | 0.267256i | ||||
\(176\) | −143.820 | + | 228.352i | −0.817157 | + | 1.29745i | ||||
\(177\) | 63.4823 | + | 109.955i | 0.358657 | + | 0.621212i | ||||
\(178\) | 7.67018 | − | 6.59720i | 0.0430909 | − | 0.0370629i | ||||
\(179\) | −12.2381 | − | 45.6732i | −0.0683693 | − | 0.255158i | 0.923279 | − | 0.384130i | \(-0.125499\pi\) |
−0.991648 | + | 0.128973i | \(0.958832\pi\) | |||||||
\(180\) | −54.7242 | + | 40.3436i | −0.304023 | + | 0.224131i | ||||
\(181\) | 73.4458 | − | 73.4458i | 0.405778 | − | 0.405778i | −0.474485 | − | 0.880263i | \(-0.657366\pi\) |
0.880263 | + | 0.474485i | \(0.157366\pi\) | |||||||
\(182\) | −320.042 | − | 142.922i | −1.75847 | − | 0.785284i | ||||
\(183\) | − | 110.270i | − | 0.602568i | ||||||
\(184\) | 240.430 | + | 127.315i | 1.30669 | + | 0.691929i | ||||
\(185\) | 117.683 | − | 203.833i | 0.636124 | − | 1.10180i | ||||
\(186\) | −3.89710 | + | 51.8195i | −0.0209521 | + | 0.278599i | ||||
\(187\) | −92.4318 | − | 24.7670i | −0.494287 | − | 0.132444i | ||||
\(188\) | 66.6678 | − | 83.5083i | 0.354616 | − | 0.444193i | ||||
\(189\) | 29.8810 | + | 20.7395i | 0.158100 | + | 0.109733i | ||||
\(190\) | 163.648 | + | 57.3113i | 0.861303 | + | 0.301638i | ||||
\(191\) | 41.0655 | + | 71.1276i | 0.215003 | + | 0.372396i | 0.953273 | − | 0.302109i | \(-0.0976906\pi\) |
−0.738271 | + | 0.674505i | \(0.764357\pi\) | |||||||
\(192\) | 20.7811 | − | 108.886i | 0.108235 | − | 0.567114i | ||||
\(193\) | 124.767 | − | 216.103i | 0.646460 | − | 1.11970i | −0.337502 | − | 0.941325i | \(-0.609582\pi\) |
0.983962 | − | 0.178377i | \(-0.0570848\pi\) | |||||||
\(194\) | −58.3324 | + | 11.0211i | −0.300682 | + | 0.0568099i | ||||
\(195\) | 173.725 | + | 173.725i | 0.890895 | + | 0.890895i | ||||
\(196\) | 145.950 | − | 130.823i | 0.744642 | − | 0.667464i | ||||
\(197\) | −161.821 | − | 161.821i | −0.821427 | − | 0.821427i | 0.164885 | − | 0.986313i | \(-0.447275\pi\) |
−0.986313 | + | 0.164885i | \(0.947275\pi\) | |||||||
\(198\) | −83.6006 | − | 57.0303i | −0.422225 | − | 0.288032i | ||||
\(199\) | 158.069 | − | 273.784i | 0.794317 | − | 1.37580i | −0.128955 | − | 0.991650i | \(-0.541162\pi\) |
0.923272 | − | 0.384147i | \(-0.125504\pi\) | |||||||
\(200\) | −2.07873 | − | 56.7587i | −0.0103937 | − | 0.283794i | ||||
\(201\) | 32.3348 | + | 56.0055i | 0.160870 | + | 0.278634i | ||||
\(202\) | −48.6410 | + | 23.4084i | −0.240797 | + | 0.115883i | ||||
\(203\) | −152.563 | − | 105.889i | −0.751541 | − | 0.521622i | ||||
\(204\) | 39.0619 | − | 4.38033i | 0.191480 | − | 0.0214722i | ||||
\(205\) | 403.510 | + | 108.120i | 1.96834 | + | 0.527416i | ||||
\(206\) | −16.2913 | + | 14.0123i | −0.0790842 | + | 0.0680211i | ||||
\(207\) | −51.0110 | + | 88.3536i | −0.246430 | + | 0.426829i | ||||
\(208\) | −400.281 | − | 15.4009i | −1.92443 | − | 0.0740427i | ||||
\(209\) | 258.097i | 1.23491i | ||||||||
\(210\) | −128.315 | + | 49.0906i | −0.611023 | + | 0.233765i | ||||
\(211\) | 28.1210 | − | 28.1210i | 0.133275 | − | 0.133275i | −0.637322 | − | 0.770597i | \(-0.719958\pi\) |
0.770597 | + | 0.637322i | \(0.219958\pi\) | |||||||
\(212\) | 223.122 | − | 164.489i | 1.05246 | − | 0.775893i | ||||
\(213\) | 1.83786 | + | 6.85900i | 0.00862846 | + | 0.0322019i | ||||
\(214\) | 290.033 | + | 21.8120i | 1.35529 | + | 0.101925i | ||||
\(215\) | 84.8736 | + | 147.005i | 0.394761 | + | 0.683746i | ||||
\(216\) | 40.5197 | + | 9.28213i | 0.187591 | + | 0.0429728i | ||||
\(217\) | −35.5072 | + | 98.8234i | −0.163628 | + | 0.455407i | ||||
\(218\) | 300.606 | − | 144.666i | 1.37893 | − | 0.663607i | ||||
\(219\) | 59.5700 | − | 222.318i | 0.272009 | − | 1.01515i | ||||
\(220\) | 355.895 | − | 139.461i | 1.61770 | − | 0.633916i | ||||
\(221\) | −36.7628 | − | 137.201i | −0.166348 | − | 0.620817i | ||||
\(222\) | −141.406 | + | 26.7168i | −0.636964 | + | 0.120346i | ||||
\(223\) | 63.8505i | 0.286325i | 0.989699 | + | 0.143162i | \(0.0457272\pi\) | ||||
−0.989699 | + | 0.143162i | \(0.954273\pi\) | |||||||
\(224\) | 99.1342 | − | 200.869i | 0.442564 | − | 0.896737i | ||||
\(225\) | 21.2988 | 0.0946613 | ||||||||
\(226\) | −0.744238 | − | 3.93909i | −0.00329309 | − | 0.0174296i | ||||
\(227\) | −82.8266 | + | 22.1933i | −0.364875 | + | 0.0977679i | −0.436598 | − | 0.899657i | \(-0.643817\pi\) |
0.0717233 | + | 0.997425i | \(0.477150\pi\) | |||||||
\(228\) | −38.6799 | − | 98.7082i | −0.169649 | − | 0.432931i | ||||
\(229\) | 194.273 | + | 52.0553i | 0.848353 | + | 0.227316i | 0.656705 | − | 0.754148i | \(-0.271950\pi\) |
0.191649 | + | 0.981464i | \(0.438617\pi\) | |||||||
\(230\) | −167.104 | − | 347.230i | −0.726540 | − | 1.50970i | ||||
\(231\) | −132.095 | − | 156.110i | −0.571839 | − | 0.675803i | ||||
\(232\) | −206.880 | − | 47.3916i | −0.891726 | − | 0.204274i | ||||
\(233\) | −47.5751 | + | 27.4675i | −0.204185 | + | 0.117886i | −0.598606 | − | 0.801044i | \(-0.704279\pi\) |
0.394421 | + | 0.918930i | \(0.370945\pi\) | |||||||
\(234\) | 11.2652 | − | 149.793i | 0.0481420 | − | 0.640142i | ||||
\(235\) | −146.195 | + | 39.1729i | −0.622107 | + | 0.166693i | ||||
\(236\) | 173.991 | + | 236.010i | 0.737248 | + | 1.00004i | ||||
\(237\) | 50.0081 | + | 50.0081i | 0.211005 | + | 0.211005i | ||||
\(238\) | 78.4363 | + | 12.5132i | 0.329564 | + | 0.0525764i | ||||
\(239\) | 431.394 | 1.80500 | 0.902498 | − | 0.430693i | \(-0.141731\pi\) | ||||
0.902498 | + | 0.430693i | \(0.141731\pi\) | |||||||
\(240\) | −115.210 | + | 106.673i | −0.480042 | + | 0.444471i | ||||
\(241\) | −73.0553 | − | 42.1785i | −0.303134 | − | 0.175014i | 0.340716 | − | 0.940166i | \(-0.389331\pi\) |
−0.643850 | + | 0.765152i | \(0.722664\pi\) | |||||||
\(242\) | 213.215 | + | 247.893i | 0.881054 | + | 1.02435i | ||||
\(243\) | −4.03459 | + | 15.0573i | −0.0166032 | + | 0.0619642i | ||||
\(244\) | −28.3790 | − | 253.071i | −0.116307 | − | 1.03718i | ||||
\(245\) | −276.351 | + | 26.4797i | −1.12796 | + | 0.108080i | ||||
\(246\) | −110.761 | − | 230.153i | −0.450248 | − | 0.935581i | ||||
\(247\) | −331.778 | + | 191.552i | −1.34323 | + | 0.775516i | ||||
\(248\) | 4.39230 | + | 119.930i | 0.0177109 | + | 0.483587i | ||||
\(249\) | 53.2235 | + | 30.7286i | 0.213749 | + | 0.123408i | ||||
\(250\) | 114.305 | − | 167.560i | 0.457221 | − | 0.670239i | ||||
\(251\) | −142.401 | + | 142.401i | −0.567334 | + | 0.567334i | −0.931381 | − | 0.364046i | \(-0.881395\pi\) |
0.364046 | + | 0.931381i | \(0.381395\pi\) | |||||||
\(252\) | 73.9149 | + | 39.9073i | 0.293313 | + | 0.158362i | ||||
\(253\) | 405.591 | − | 405.591i | 1.60313 | − | 1.60313i | ||||
\(254\) | 2.33712 | + | 12.3699i | 0.00920126 | + | 0.0487002i | ||||
\(255\) | −48.2156 | − | 27.8373i | −0.189081 | − | 0.109166i | ||||
\(256\) | 19.6702 | − | 255.243i | 0.0768366 | − | 0.997044i | ||||
\(257\) | −196.254 | + | 113.307i | −0.763633 | + | 0.440884i | −0.830598 | − | 0.556872i | \(-0.812001\pi\) |
0.0669658 | + | 0.997755i | \(0.478668\pi\) | |||||||
\(258\) | 34.3046 | − | 97.9538i | 0.132963 | − | 0.379666i | ||||
\(259\) | −289.794 | − | 24.1480i | −1.11890 | − | 0.0932354i | ||||
\(260\) | 443.410 | + | 353.991i | 1.70542 | + | 1.36150i | ||||
\(261\) | 20.5993 | − | 76.8777i | 0.0789246 | − | 0.294551i | ||||
\(262\) | −385.658 | − | 29.0035i | −1.47198 | − | 0.110700i | ||||
\(263\) | 47.9089 | + | 27.6602i | 0.182163 | + | 0.105172i | 0.588309 | − | 0.808637i | \(-0.299794\pi\) |
−0.406145 | + | 0.913808i | \(0.633127\pi\) | |||||||
\(264\) | −206.542 | − | 109.370i | −0.782356 | − | 0.414281i | ||||
\(265\) | −392.630 | −1.48162 | ||||||||
\(266\) | −22.1544 | − | 213.081i | −0.0832873 | − | 0.801057i | ||||
\(267\) | 6.19540 | + | 6.19540i | 0.0232038 | + | 0.0232038i | ||||
\(268\) | 88.6224 | + | 120.212i | 0.330681 | + | 0.448552i | ||||
\(269\) | 379.120 | − | 101.585i | 1.40937 | − | 0.377639i | 0.527670 | − | 0.849450i | \(-0.323066\pi\) |
0.881700 | + | 0.471810i | \(0.156399\pi\) | |||||||
\(270\) | −38.3944 | − | 44.6389i | −0.142201 | − | 0.165329i | ||||
\(271\) | 302.380 | − | 174.579i | 1.11579 | − | 0.644204i | 0.175470 | − | 0.984485i | \(-0.443855\pi\) |
0.940324 | + | 0.340281i | \(0.110522\pi\) | |||||||
\(272\) | 88.5204 | − | 20.1059i | 0.325443 | − | 0.0739186i | ||||
\(273\) | 102.640 | − | 285.666i | 0.375970 | − | 1.04640i | ||||
\(274\) | −103.558 | + | 295.702i | −0.377950 | + | 1.07920i | ||||
\(275\) | −115.667 | − | 30.9928i | −0.420606 | − | 0.112701i | ||||
\(276\) | −94.3324 | + | 215.901i | −0.341784 | + | 0.782250i | ||||
\(277\) | −421.979 | + | 113.069i | −1.52339 | + | 0.408191i | −0.920856 | − | 0.389903i | \(-0.872508\pi\) |
−0.602533 | + | 0.798094i | \(0.705842\pi\) | |||||||
\(278\) | −209.291 | − | 142.773i | −0.752844 | − | 0.513571i | ||||
\(279\) | −45.0037 | −0.161304 | ||||||||
\(280\) | −281.851 | + | 145.687i | −1.00661 | + | 0.520309i | ||||
\(281\) | 154.441i | 0.549611i | 0.961500 | + | 0.274806i | \(0.0886135\pi\) | ||||
−0.961500 | + | 0.274806i | \(0.911386\pi\) | |||||||
\(282\) | 76.4465 | + | 52.1499i | 0.271087 | + | 0.184929i | ||||
\(283\) | −3.19516 | − | 11.9245i | −0.0112903 | − | 0.0421360i | 0.960051 | − | 0.279825i | \(-0.0902766\pi\) |
−0.971341 | + | 0.237689i | \(0.923610\pi\) | |||||||
\(284\) | 5.98315 | + | 15.2685i | 0.0210674 | + | 0.0537624i | ||||
\(285\) | −38.8650 | + | 145.046i | −0.136368 | + | 0.508933i | ||||
\(286\) | −279.148 | + | 797.085i | −0.976044 | + | 2.78701i | ||||
\(287\) | −91.7237 | − | 507.914i | −0.319595 | − | 1.76974i | ||||
\(288\) | 95.3821 | + | 10.8745i | 0.331188 | + | 0.0377588i | ||||
\(289\) | −128.406 | − | 222.406i | −0.444312 | − | 0.769570i | ||||
\(290\) | 196.029 | + | 227.912i | 0.675963 | + | 0.785903i | ||||
\(291\) | −13.3062 | − | 49.6593i | −0.0457256 | − | 0.170650i | ||||
\(292\) | 79.4985 | − | 525.555i | 0.272255 | − | 1.79985i | ||||
\(293\) | −56.0630 | + | 56.0630i | −0.191341 | + | 0.191341i | −0.796276 | − | 0.604934i | \(-0.793199\pi\) |
0.604934 | + | 0.796276i | \(0.293199\pi\) | |||||||
\(294\) | 122.456 | + | 117.544i | 0.416516 | + | 0.399809i | ||||
\(295\) | − | 415.309i | − | 1.40783i | ||||||
\(296\) | −317.653 | + | 97.7076i | −1.07315 | + | 0.330093i | ||||
\(297\) | 43.8210 | − | 75.9003i | 0.147546 | − | 0.255557i | ||||
\(298\) | 347.634 | + | 26.1439i | 1.16656 | + | 0.0877311i | ||||
\(299\) | 822.398 | + | 220.361i | 2.75049 | + | 0.736993i | ||||
\(300\) | 48.8811 | − | 5.48143i | 0.162937 | − | 0.0182714i | ||||
\(301\) | 119.583 | − | 172.292i | 0.397285 | − | 0.572400i | ||||
\(302\) | 36.4958 | − | 104.211i | 0.120847 | − | 0.345069i | ||||
\(303\) | −23.3743 | − | 40.4854i | −0.0771428 | − | 0.133615i | ||||
\(304\) | −114.175 | − | 216.582i | −0.375574 | − | 0.712441i | ||||
\(305\) | −180.350 | + | 312.376i | −0.591312 | + | 1.02418i | ||||
\(306\) | 6.31972 | + | 33.4489i | 0.0206527 | + | 0.109310i | ||||
\(307\) | 345.622 | + | 345.622i | 1.12581 | + | 1.12581i | 0.990852 | + | 0.134954i | \(0.0430888\pi\) |
0.134954 | + | 0.990852i | \(0.456911\pi\) | |||||||
\(308\) | −343.336 | − | 324.280i | −1.11473 | − | 1.05286i | ||||
\(309\) | −13.1589 | − | 13.1589i | −0.0425855 | − | 0.0425855i | ||||
\(310\) | 95.7923 | − | 140.422i | 0.309007 | − | 0.452973i | ||||
\(311\) | −47.8031 | + | 82.7974i | −0.153708 | + | 0.266230i | −0.932588 | − | 0.360943i | \(-0.882455\pi\) |
0.778880 | + | 0.627173i | \(0.215788\pi\) | |||||||
\(312\) | −12.6967 | − | 346.677i | −0.0406946 | − | 1.11114i | ||||
\(313\) | 29.1835 | + | 50.5473i | 0.0932380 | + | 0.161493i | 0.908872 | − | 0.417075i | \(-0.136945\pi\) |
−0.815634 | + | 0.578568i | \(0.803612\pi\) | |||||||
\(314\) | −96.6798 | − | 200.893i | −0.307897 | − | 0.639788i | ||||
\(315\) | −50.7275 | − | 107.623i | −0.161040 | − | 0.341659i | ||||
\(316\) | 127.639 | + | 101.899i | 0.403922 | + | 0.322466i | ||||
\(317\) | −221.503 | − | 59.3517i | −0.698749 | − | 0.187229i | −0.108079 | − | 0.994142i | \(-0.534470\pi\) |
−0.590670 | + | 0.806913i | \(0.701137\pi\) | |||||||
\(318\) | 156.542 | + | 182.002i | 0.492270 | + | 0.572333i | ||||
\(319\) | −223.736 | + | 387.523i | −0.701368 | + | 1.21480i | ||||
\(320\) | −236.956 | + | 274.467i | −0.740486 | + | 0.857708i | ||||
\(321\) | 251.885i | 0.784689i | ||||||||
\(322\) | −300.035 | + | 369.665i | −0.931786 | + | 1.14803i | ||||
\(323\) | 61.3880 | − | 61.3880i | 0.190056 | − | 0.190056i | ||||
\(324\) | −5.38432 | + | 35.5951i | −0.0166183 | + | 0.109861i | ||||
\(325\) | −46.0040 | − | 171.689i | −0.141551 | − | 0.528275i | ||||
\(326\) | −9.83814 | + | 130.817i | −0.0301783 | + | 0.401280i | ||||
\(327\) | 144.455 | + | 250.204i | 0.441759 | + | 0.765149i | ||||
\(328\) | −313.430 | − | 499.699i | −0.955579 | − | 1.52347i | ||||
\(329\) | 120.791 | + | 142.751i | 0.367145 | + | 0.433894i | ||||
\(330\) | 143.551 | + | 298.288i | 0.435003 | + | 0.903904i | ||||
\(331\) | −1.67587 | + | 6.25442i | −0.00506304 | + | 0.0188955i | −0.968411 | − | 0.249359i | \(-0.919780\pi\) |
0.963348 | + | 0.268254i | \(0.0864468\pi\) | |||||||
\(332\) | 130.057 | + | 56.8251i | 0.391738 | + | 0.171160i | ||||
\(333\) | −32.2561 | − | 120.381i | −0.0968650 | − | 0.361505i | ||||
\(334\) | 7.19763 | + | 38.0955i | 0.0215498 | + | 0.114058i | ||||
\(335\) | − | 211.538i | − | 0.631458i | ||||||
\(336\) | 179.906 | + | 72.5653i | 0.535435 | + | 0.215968i | ||||
\(337\) | −484.927 | −1.43895 | −0.719477 | − | 0.694516i | \(-0.755618\pi\) | ||||
−0.719477 | + | 0.694516i | \(0.755618\pi\) | |||||||
\(338\) | −899.690 | + | 169.984i | −2.66180 | + | 0.502913i | ||||
\(339\) | 3.35341 | − | 0.898543i | 0.00989206 | − | 0.00265057i | ||||
\(340\) | −117.820 | − | 51.4783i | −0.346529 | − | 0.151407i | ||||
\(341\) | 244.400 | + | 65.4869i | 0.716717 | + | 0.192044i | ||||
\(342\) | 82.7309 | − | 39.8142i | 0.241903 | − | 0.116416i | ||||
\(343\) | 175.168 | + | 294.899i | 0.510693 | + | 0.859763i | ||||
\(344\) | 53.5203 | − | 233.634i | 0.155582 | − | 0.679169i | ||||
\(345\) | 289.010 | − | 166.860i | 0.837711 | − | 0.483653i | ||||
\(346\) | 52.4435 | + | 3.94402i | 0.151571 | + | 0.0113989i | ||||
\(347\) | −75.9409 | + | 20.3483i | −0.218850 | + | 0.0586406i | −0.366578 | − | 0.930387i | \(-0.619471\pi\) |
0.147728 | + | 0.989028i | \(0.452804\pi\) | |||||||
\(348\) | 27.4906 | − | 181.737i | 0.0789960 | − | 0.522233i | ||||
\(349\) | −65.0127 | − | 65.0127i | −0.186283 | − | 0.186283i | 0.607804 | − | 0.794087i | \(-0.292051\pi\) |
−0.794087 | + | 0.607804i | \(0.792051\pi\) | |||||||
\(350\) | 98.1532 | + | 15.6587i | 0.280438 | + | 0.0447390i | ||||
\(351\) | 130.091 | 0.370630 | ||||||||
\(352\) | −502.165 | − | 197.851i | −1.42660 | − | 0.562076i | ||||
\(353\) | −68.3365 | − | 39.4541i | −0.193588 | − | 0.111768i | 0.400073 | − | 0.916483i | \(-0.368985\pi\) |
−0.593661 | + | 0.804715i | \(0.702318\pi\) | |||||||
\(354\) | −192.515 | + | 165.584i | −0.543827 | + | 0.467751i | ||||
\(355\) | 6.01177 | − | 22.4362i | 0.0169346 | − | 0.0632006i | ||||
\(356\) | 15.8130 | + | 12.6241i | 0.0444185 | + | 0.0354610i | ||||
\(357\) | −5.71207 | + | 68.5492i | −0.0160002 | + | 0.192015i | ||||
\(358\) | 85.2144 | − | 41.0094i | 0.238029 | − | 0.114551i | ||||
\(359\) | 572.263 | − | 330.396i | 1.59405 | − | 0.920324i | 0.601446 | − | 0.798913i | \(-0.294591\pi\) |
0.992602 | − | 0.121411i | \(-0.0387420\pi\) | |||||||
\(360\) | −99.6039 | − | 92.5658i | −0.276677 | − | 0.257127i | ||||
\(361\) | 109.851 | + | 63.4225i | 0.304296 | + | 0.175686i | ||||
\(362\) | 171.609 | + | 117.067i | 0.474057 | + | 0.323390i | ||||
\(363\) | −200.229 | + | 200.229i | −0.551596 | + | 0.551596i | ||||
\(364\) | 162.041 | − | 682.024i | 0.445168 | − | 1.87369i | ||||
\(365\) | −532.360 | + | 532.360i | −1.45852 | + | 1.45852i | ||||
\(366\) | 216.706 | − | 40.9437i | 0.592093 | − | 0.111868i | ||||
\(367\) | −371.309 | − | 214.375i | −1.01174 | − | 0.584129i | −0.100040 | − | 0.994983i | \(-0.531897\pi\) |
−0.911701 | + | 0.410855i | \(0.865230\pi\) | |||||||
\(368\) | −160.930 | + | 519.774i | −0.437311 | + | 1.41243i | ||||
\(369\) | 191.564 | − | 110.599i | 0.519142 | − | 0.299727i | ||||
\(370\) | 444.275 | + | 155.590i | 1.20074 | + | 0.420514i | ||||
\(371\) | 206.827 | + | 438.800i | 0.557484 | + | 1.18275i | ||||
\(372\) | −103.284 | + | 11.5821i | −0.277646 | + | 0.0311347i | ||||
\(373\) | 41.7518 | − | 155.820i | 0.111935 | − | 0.417747i | −0.887104 | − | 0.461569i | \(-0.847287\pi\) |
0.999039 | + | 0.0438218i | \(0.0139534\pi\) | |||||||
\(374\) | 14.3526 | − | 190.846i | 0.0383759 | − | 0.510283i | ||||
\(375\) | 152.126 | + | 87.8301i | 0.405670 | + | 0.234214i | ||||
\(376\) | 188.867 | + | 100.011i | 0.502306 | + | 0.265986i | ||||
\(377\) | −664.204 | −1.76181 | ||||||||
\(378\) | −29.6629 | + | 66.4237i | −0.0784734 | + | 0.175724i | ||||
\(379\) | −300.585 | − | 300.585i | −0.793100 | − | 0.793100i | 0.188897 | − | 0.981997i | \(-0.439509\pi\) |
−0.981997 | + | 0.188897i | \(0.939509\pi\) | |||||||
\(380\) | −51.8669 | + | 342.885i | −0.136492 | + | 0.902330i | ||||
\(381\) | −10.5307 | + | 2.82168i | −0.0276395 | + | 0.00740598i | ||||
\(382\) | −124.534 | + | 107.113i | −0.326006 | + | 0.280401i | ||||
\(383\) | 515.251 | − | 297.481i | 1.34530 | − | 0.776712i | 0.357724 | − | 0.933827i | \(-0.383553\pi\) |
0.987580 | + | 0.157116i | \(0.0502196\pi\) | |||||||
\(384\) | 221.702 | + | 0.409826i | 0.577349 | + | 0.00106725i | ||||
\(385\) | 118.878 | + | 658.279i | 0.308774 | + | 1.70982i | ||||
\(386\) | 471.018 | + | 164.956i | 1.22025 | + | 0.427347i | ||||
\(387\) | 86.8196 | + | 23.2632i | 0.224340 | + | 0.0601117i | ||||
\(388\) | −43.3181 | − | 110.544i | −0.111645 | − | 0.284908i | ||||
\(389\) | −546.994 | + | 146.567i | −1.40615 | + | 0.376778i | −0.880551 | − | 0.473952i | \(-0.842827\pi\) |
−0.525604 | + | 0.850730i | \(0.676160\pi\) | |||||||
\(390\) | −276.904 | + | 405.914i | −0.710011 | + | 1.04080i | ||||
\(391\) | −192.938 | −0.493449 | ||||||||
\(392\) | 311.289 | + | 238.250i | 0.794105 | + | 0.607781i | ||||
\(393\) | − | 334.933i | − | 0.852247i | ||||||
\(394\) | 257.931 | − | 378.101i | 0.654648 | − | 0.959647i | ||||
\(395\) | −59.8743 | − | 223.454i | −0.151581 | − | 0.565706i | ||||
\(396\) | 81.0364 | − | 185.470i | 0.204637 | − | 0.468359i | ||||
\(397\) | 170.959 | − | 638.027i | 0.430627 | − | 1.60712i | −0.320693 | − | 0.947183i | \(-0.603916\pi\) |
0.751320 | − | 0.659939i | \(-0.229418\pi\) | |||||||
\(398\) | 596.740 | + | 208.985i | 1.49935 | + | 0.525088i | ||||
\(399\) | 182.575 | − | 32.9711i | 0.457582 | − | 0.0826343i | ||||
\(400\) | 110.772 | − | 25.1599i | 0.276930 | − | 0.0628999i | ||||
\(401\) | −123.258 | − | 213.489i | −0.307376 | − | 0.532391i | 0.670411 | − | 0.741990i | \(-0.266118\pi\) |
−0.977788 | + | 0.209598i | \(0.932784\pi\) | |||||||
\(402\) | −98.0577 | + | 84.3404i | −0.243925 | + | 0.209802i | ||||
\(403\) | 97.2051 | + | 362.775i | 0.241204 | + | 0.900185i | ||||
\(404\) | −64.0636 | − | 86.8991i | −0.158573 | − | 0.215097i | ||||
\(405\) | 36.0560 | − | 36.0560i | 0.0890271 | − | 0.0890271i | ||||
\(406\) | 151.450 | − | 339.138i | 0.373028 | − | 0.835316i | ||||
\(407\) | 700.688i | 1.72159i | ||||||||
\(408\) | 23.1122 | + | 75.1393i | 0.0566476 | + | 0.184165i | ||||
\(409\) | −48.1017 | + | 83.3146i | −0.117608 | + | 0.203703i | −0.918819 | − | 0.394678i | \(-0.870856\pi\) |
0.801211 | + | 0.598382i | \(0.204189\pi\) | |||||||
\(410\) | −62.6562 | + | 833.136i | −0.152820 | + | 2.03204i | ||||
\(411\) | −262.090 | − | 70.2268i | −0.637689 | − | 0.170868i | ||||
\(412\) | −33.5865 | − | 26.8134i | −0.0815207 | − | 0.0650811i | ||||
\(413\) | −464.146 | + | 218.773i | −1.12384 | + | 0.529718i | ||||
\(414\) | −192.576 | − | 67.4423i | −0.465159 | − | 0.162904i | ||||
\(415\) | −100.515 | − | 174.097i | −0.242205 | − | 0.419512i | ||||
\(416\) | −118.360 | − | 792.362i | −0.284518 | − | 1.90472i | ||||
\(417\) | 109.704 | − | 190.013i | 0.263079 | − | 0.455667i | ||||
\(418\) | −507.220 | + | 95.8324i | −1.21344 | + | 0.229264i | ||||
\(419\) | −14.0201 | − | 14.0201i | −0.0334609 | − | 0.0334609i | 0.690178 | − | 0.723639i | \(-0.257532\pi\) |
−0.723639 | + | 0.690178i | \(0.757532\pi\) | |||||||
\(420\) | −144.118 | − | 233.941i | −0.343138 | − | 0.557001i | ||||
\(421\) | 534.508 | + | 534.508i | 1.26961 | + | 1.26961i | 0.946287 | + | 0.323328i | \(0.104802\pi\) |
0.323328 | + | 0.946287i | \(0.395198\pi\) | |||||||
\(422\) | 65.7056 | + | 44.8228i | 0.155701 | + | 0.106215i | ||||
\(423\) | −40.0711 | + | 69.4051i | −0.0947306 | + | 0.164078i | ||||
\(424\) | 406.106 | + | 377.410i | 0.957796 | + | 0.890118i | ||||
\(425\) | 20.1396 | + | 34.8828i | 0.0473872 | + | 0.0820771i | ||||
\(426\) | −12.7971 | + | 6.15860i | −0.0300402 | + | 0.0144568i | ||||
\(427\) | 444.112 | + | 37.0070i | 1.04007 | + | 0.0866674i | ||||
\(428\) | 64.8249 | + | 578.081i | 0.151460 | + | 1.35066i | ||||
\(429\) | −706.482 | − | 189.301i | −1.64681 | − | 0.441262i | ||||
\(430\) | −257.386 | + | 221.380i | −0.598571 | + | 0.514837i | ||||
\(431\) | −106.667 | + | 184.753i | −0.247488 | + | 0.428661i | −0.962828 | − | 0.270115i | \(-0.912938\pi\) |
0.715341 | + | 0.698776i | \(0.246272\pi\) | |||||||
\(432\) | −3.19640 | + | 83.0770i | −0.00739908 | + | 0.192308i | ||||
\(433\) | − | 449.685i | − | 1.03853i | −0.854612 | − | 0.519267i | \(-0.826205\pi\) | ||
0.854612 | − | 0.519267i | \(-0.173795\pi\) | |||||||
\(434\) | −207.395 | − | 33.0863i | −0.477868 | − | 0.0762358i | ||||
\(435\) | −184.090 | + | 184.090i | −0.423196 | + | 0.423196i | ||||
\(436\) | 395.919 | + | 537.045i | 0.908071 | + | 1.23175i | ||||
\(437\) | 134.685 | + | 502.652i | 0.308204 | + | 1.15023i | ||||
\(438\) | 459.025 | + | 34.5211i | 1.04800 | + | 0.0788153i | ||||
\(439\) | 95.0244 | + | 164.587i | 0.216456 | + | 0.374914i | 0.953722 | − | 0.300689i | \(-0.0972167\pi\) |
−0.737266 | + | 0.675603i | \(0.763883\pi\) | |||||||
\(440\) | 406.219 | + | 647.632i | 0.923225 | + | 1.47189i | ||||
\(441\) | −93.5563 | + | 113.385i | −0.212146 | + | 0.257109i | ||||
\(442\) | 255.981 | − | 123.191i | 0.579142 | − | 0.278712i | ||||
\(443\) | 114.283 | − | 426.509i | 0.257975 | − | 0.962775i | −0.708437 | − | 0.705774i | \(-0.750599\pi\) |
0.966411 | − | 0.257000i | \(-0.0827341\pi\) | |||||||
\(444\) | −105.009 | − | 267.976i | −0.236508 | − | 0.603549i | ||||
\(445\) | −7.41771 | − | 27.6833i | −0.0166690 | − | 0.0622096i | ||||
\(446\) | −125.481 | + | 23.7080i | −0.281347 | + | 0.0531568i | ||||
\(447\) | 301.910i | 0.675414i | ||||||||
\(448\) | 431.563 | + | 120.238i | 0.963311 | + | 0.268389i | ||||
\(449\) | 418.691 | 0.932497 | 0.466249 | − | 0.884654i | \(-0.345605\pi\) | ||||
0.466249 | + | 0.884654i | \(0.345605\pi\) | |||||||
\(450\) | 7.90833 | + | 41.8570i | 0.0175741 | + | 0.0930156i | ||||
\(451\) | −1201.26 | + | 321.876i | −2.66354 | + | 0.713693i | ||||
\(452\) | 7.46488 | − | 2.92520i | 0.0165152 | − | 0.00647168i | ||||
\(453\) | 92.3654 | + | 24.7492i | 0.203897 | + | 0.0546340i | ||||
\(454\) | −74.3689 | − | 154.533i | −0.163808 | − | 0.340381i | ||||
\(455\) | −757.977 | + | 641.372i | −1.66588 | + | 1.40961i | ||||
\(456\) | 179.622 | − | 112.666i | 0.393909 | − | 0.247074i | ||||
\(457\) | 143.065 | − | 82.5987i | 0.313053 | − | 0.180741i | −0.335239 | − | 0.942133i | \(-0.608817\pi\) |
0.648292 | + | 0.761392i | \(0.275484\pi\) | |||||||
\(458\) | −30.1663 | + | 401.120i | −0.0658652 | + | 0.875807i | ||||
\(459\) | −28.4756 | + | 7.63000i | −0.0620382 | + | 0.0166231i | ||||
\(460\) | 620.340 | − | 457.326i | 1.34857 | − | 0.994187i | ||||
\(461\) | 401.809 | + | 401.809i | 0.871604 | + | 0.871604i | 0.992647 | − | 0.121044i | \(-0.0386241\pi\) |
−0.121044 | + | 0.992647i | \(0.538624\pi\) | |||||||
\(462\) | 257.746 | − | 317.561i | 0.557891 | − | 0.687362i | ||||
\(463\) | −318.936 | −0.688846 | −0.344423 | − | 0.938815i | \(-0.611925\pi\) | ||||
−0.344423 | + | 0.938815i | \(0.611925\pi\) | |||||||
\(464\) | 16.3198 | − | 424.164i | 0.0351720 | − | 0.914147i | ||||
\(465\) | 127.488 | + | 73.6051i | 0.274167 | + | 0.158290i | ||||
\(466\) | −71.6449 | − | 83.2973i | −0.153744 | − | 0.178750i | ||||
\(467\) | 155.524 | − | 580.425i | 0.333029 | − | 1.24288i | −0.572962 | − | 0.819582i | \(-0.694206\pi\) |
0.905991 | − | 0.423298i | \(-0.139128\pi\) | |||||||
\(468\) | 298.561 | − | 33.4801i | 0.637951 | − | 0.0715387i | ||||
\(469\) | −236.413 | + | 111.433i | −0.504080 | + | 0.237596i | ||||
\(470\) | −131.267 | − | 272.762i | −0.279291 | − | 0.580345i | ||||
\(471\) | 167.210 | − | 96.5386i | 0.355010 | − | 0.204965i | ||||
\(472\) | −399.210 | + | 429.563i | −0.845784 | + | 0.910092i | ||||
\(473\) | −437.637 | − | 252.670i | −0.925237 | − | 0.534186i | ||||
\(474\) | −79.7092 | + | 116.846i | −0.168163 | + | 0.246510i | ||||
\(475\) | 76.8193 | − | 76.8193i | 0.161725 | − | 0.161725i | ||||
\(476\) | 4.53245 | + | 158.792i | 0.00952195 | + | 0.333596i | ||||
\(477\) | −147.008 | + | 147.008i | −0.308192 | + | 0.308192i | ||||
\(478\) | 160.179 | + | 847.789i | 0.335102 | + | 1.77362i | ||||
\(479\) | −143.845 | − | 83.0487i | −0.300302 | − | 0.173379i | 0.342277 | − | 0.939599i | \(-0.388802\pi\) |
−0.642579 | + | 0.766220i | \(0.722135\pi\) | |||||||
\(480\) | −252.415 | − | 186.806i | −0.525865 | − | 0.389180i | ||||
\(481\) | −900.721 | + | 520.031i | −1.87260 | + | 1.08115i | ||||
\(482\) | 55.7647 | − | 159.231i | 0.115694 | − | 0.330356i | ||||
\(483\) | −338.724 | − | 235.098i | −0.701292 | − | 0.486746i | ||||
\(484\) | −407.999 | + | 511.060i | −0.842973 | + | 1.05591i | ||||
\(485\) | −43.5253 | + | 162.439i | −0.0897429 | + | 0.334925i | ||||
\(486\) | −31.0891 | − | 2.33806i | −0.0639694 | − | 0.00481083i | ||||
\(487\) | −85.2002 | − | 49.1904i | −0.174949 | − | 0.101007i | 0.409968 | − | 0.912100i | \(-0.365540\pi\) |
−0.584917 | + | 0.811093i | \(0.698873\pi\) | |||||||
\(488\) | 486.807 | − | 149.738i | 0.997555 | − | 0.306840i | ||||
\(489\) | −113.611 | −0.232333 | ||||||||
\(490\) | −154.649 | − | 533.262i | −0.315610 | − | 1.08829i | ||||
\(491\) | 100.134 | + | 100.134i | 0.203939 | + | 0.203939i | 0.801685 | − | 0.597746i | \(-0.203937\pi\) |
−0.597746 | + | 0.801685i | \(0.703937\pi\) | |||||||
\(492\) | 411.178 | − | 303.128i | 0.835727 | − | 0.616113i | ||||
\(493\) | 145.387 | − | 38.9563i | 0.294903 | − | 0.0790190i | ||||
\(494\) | −499.635 | − | 580.897i | −1.01141 | − | 1.17590i | ||||
\(495\) | −248.275 | + | 143.341i | −0.501565 | + | 0.289579i | ||||
\(496\) | −234.058 | + | 53.1622i | −0.471892 | + | 0.107182i | ||||
\(497\) | −28.2414 | + | 5.10008i | −0.0568236 | + | 0.0102617i | ||||
\(498\) | −40.6267 | + | 116.006i | −0.0815797 | + | 0.232944i | ||||
\(499\) | 580.638 | + | 155.582i | 1.16360 | + | 0.311787i | 0.788404 | − | 0.615157i | \(-0.210907\pi\) |
0.375200 | + | 0.926944i | \(0.377574\pi\) | |||||||
\(500\) | 371.736 | + | 162.420i | 0.743472 | + | 0.324841i | ||||
\(501\) | −32.4313 | + | 8.68993i | −0.0647331 | + | 0.0173452i | ||||
\(502\) | −332.725 | − | 226.977i | −0.662798 | − | 0.452145i | ||||
\(503\) | 267.735 | 0.532277 | 0.266139 | − | 0.963935i | \(-0.414252\pi\) | ||||
0.266139 | + | 0.963935i | \(0.414252\pi\) | |||||||
\(504\) | −50.9822 | + | 160.078i | −0.101155 | + | 0.317614i | ||||
\(505\) | 152.918i | 0.302807i | ||||||||
\(506\) | 947.677 | + | 646.482i | 1.87288 | + | 1.27763i | ||||
\(507\) | −205.228 | − | 765.920i | −0.404789 | − | 1.51069i | ||||
\(508\) | −23.4418 | + | 9.18596i | −0.0461454 | + | 0.0180826i | ||||
\(509\) | 9.05089 | − | 33.7784i | 0.0177817 | − | 0.0663622i | −0.956465 | − | 0.291847i | \(-0.905730\pi\) |
0.974247 | + | 0.225485i | \(0.0723967\pi\) | |||||||
\(510\) | 36.8041 | − | 105.091i | 0.0721648 | − | 0.206061i | ||||
\(511\) | 875.393 | + | 314.528i | 1.71310 | + | 0.615516i | ||||
\(512\) | 508.915 | − | 56.1164i | 0.993976 | − | 0.109602i | ||||
\(513\) | 39.7561 | + | 68.8596i | 0.0774972 | + | 0.134229i | ||||
\(514\) | −295.544 | − | 343.612i | −0.574989 | − | 0.668506i | ||||
\(515\) | 15.7551 | + | 58.7988i | 0.0305924 | + | 0.114172i | ||||
\(516\) | 205.239 | + | 31.0457i | 0.397751 | + | 0.0601661i | ||||
\(517\) | 318.607 | − | 318.607i | 0.616261 | − | 0.616261i | ||||
\(518\) | −60.1454 | − | 578.478i | −0.116111 | − | 1.11675i | ||||
\(519\) | 45.5456i | 0.0877565i | ||||||||
\(520\) | −531.034 | + | 1002.84i | −1.02122 | + | 1.92854i | ||||
\(521\) | 59.3480 | − | 102.794i | 0.113912 | − | 0.197301i | −0.803432 | − | 0.595396i | \(-0.796995\pi\) |
0.917344 | + | 0.398095i | \(0.130329\pi\) | |||||||
\(522\) | 158.731 | + | 11.9374i | 0.304083 | + | 0.0228686i | ||||
\(523\) | 202.090 | + | 54.1498i | 0.386405 | + | 0.103537i | 0.446791 | − | 0.894638i | \(-0.352567\pi\) |
−0.0603865 | + | 0.998175i | \(0.519233\pi\) | |||||||
\(524\) | −86.1979 | − | 768.677i | −0.164500 | − | 1.46694i | ||||
\(525\) | −7.14794 | + | 85.7807i | −0.0136151 | + | 0.163392i | ||||
\(526\) | −36.5699 | + | 104.422i | −0.0695246 | + | 0.198522i | ||||
\(527\) | −42.5543 | − | 73.7063i | −0.0807483 | − | 0.139860i | ||||
\(528\) | 138.248 | − | 446.512i | 0.261832 | − | 0.845667i | ||||
\(529\) | 313.749 | − | 543.429i | 0.593098 | − | 1.02728i | ||||
\(530\) | −145.785 | − | 771.609i | −0.275066 | − | 1.45587i | ||||
\(531\) | −155.499 | − | 155.499i | −0.292842 | − | 0.292842i | ||||
\(532\) | 410.528 | − | 122.656i | 0.771668 | − | 0.230557i | ||||
\(533\) | −1305.30 | − | 1305.30i | −2.44898 | − | 2.44898i | ||||
\(534\) | −9.87502 | + | 14.4758i | −0.0184925 | + | 0.0271082i | ||||
\(535\) | 411.966 | − | 713.547i | 0.770031 | − | 1.33373i | ||||
\(536\) | −203.338 | + | 218.799i | −0.379363 | + | 0.408207i | ||||
\(537\) | 40.9495 | + | 70.9266i | 0.0762561 | + | 0.132079i | ||||
\(538\) | 340.407 | + | 707.340i | 0.632727 | + | 1.31476i | ||||
\(539\) | 673.065 | − | 479.620i | 1.24873 | − | 0.889833i | ||||
\(540\) | 73.4697 | − | 92.0284i | 0.136055 | − | 0.170423i | ||||
\(541\) | −658.546 | − | 176.457i | −1.21728 | − | 0.326168i | −0.407663 | − | 0.913133i | \(-0.633656\pi\) |
−0.809612 | + | 0.586965i | \(0.800323\pi\) | |||||||
\(542\) | 455.364 | + | 529.425i | 0.840155 | + | 0.976799i | ||||
\(543\) | −89.9524 | + | 155.802i | −0.165658 | + | 0.286928i | ||||
\(544\) | 72.3807 | + | 166.498i | 0.133053 | + | 0.306062i | ||||
\(545\) | − | 945.044i | − | 1.73403i | ||||||
\(546\) | 599.511 | + | 95.6418i | 1.09801 | + | 0.175168i | ||||
\(547\) | 697.897 | − | 697.897i | 1.27586 | − | 1.27586i | 0.332901 | − | 0.942962i | \(-0.391973\pi\) |
0.942962 | − | 0.332901i | \(-0.108027\pi\) | |||||||
\(548\) | −619.575 | − | 93.7205i | −1.13061 | − | 0.171023i | ||||
\(549\) | 49.4327 | + | 184.485i | 0.0900413 | + | 0.336039i | ||||
\(550\) | 17.9605 | − | 238.820i | 0.0326554 | − | 0.434217i | ||||
\(551\) | −202.982 | − | 351.575i | −0.368388 | − | 0.638067i | ||||
\(552\) | −459.321 | − | 105.220i | −0.832104 | − | 0.190616i | ||||
\(553\) | −218.190 | + | 184.624i | −0.394557 | + | 0.333860i | ||||
\(554\) | −378.889 | − | 787.303i | −0.683915 | − | 1.42112i | ||||
\(555\) | −105.512 | + | 393.775i | −0.190111 | + | 0.709504i | ||||
\(556\) | 202.871 | − | 464.316i | 0.364876 | − | 0.835102i | ||||
\(557\) | −138.984 | − | 518.695i | −0.249522 | − | 0.931229i | −0.971056 | − | 0.238851i | \(-0.923229\pi\) |
0.721534 | − | 0.692379i | \(-0.243437\pi\) | |||||||
\(558\) | −16.7101 | − | 88.4427i | −0.0299464 | − | 0.158500i | ||||
\(559\) | − | 750.099i | − | 1.34186i | ||||||
\(560\) | −390.960 | − | 499.807i | −0.698143 | − | 0.892513i | ||||
\(561\) | 165.744 | 0.295444 | ||||||||
\(562\) | −303.512 | + | 57.3445i | −0.540057 | + | 0.102036i | ||||
\(563\) | −456.888 | + | 122.423i | −0.811523 | + | 0.217447i | −0.640637 | − | 0.767844i | \(-0.721330\pi\) |
−0.170886 | + | 0.985291i | \(0.554663\pi\) | |||||||
\(564\) | −74.1017 | + | 169.598i | −0.131386 | + | 0.300707i | ||||
\(565\) | −10.9692 | − | 2.93919i | −0.0194145 | − | 0.00520211i | ||||
\(566\) | 22.2480 | − | 10.7068i | 0.0393074 | − | 0.0189167i | ||||
\(567\) | −59.2891 | − | 21.3026i | −0.104566 | − | 0.0375706i | ||||
\(568\) | −27.7846 | + | 17.4275i | −0.0489165 | + | 0.0306823i | ||||
\(569\) | −233.933 | + | 135.061i | −0.411130 | + | 0.237366i | −0.691275 | − | 0.722592i | \(-0.742951\pi\) |
0.280145 | + | 0.959958i | \(0.409617\pi\) | |||||||
\(570\) | −299.480 | − | 22.5224i | −0.525403 | − | 0.0395130i | ||||
\(571\) | 635.575 | − | 170.302i | 1.11309 | − | 0.298252i | 0.345007 | − | 0.938600i | \(-0.387877\pi\) |
0.768085 | + | 0.640348i | \(0.221210\pi\) | |||||||
\(572\) | −1670.11 | − | 252.630i | −2.91977 | − | 0.441661i | ||||
\(573\) | −100.590 | − | 100.590i | −0.175549 | − | 0.175549i | ||||
\(574\) | 964.111 | − | 368.849i | 1.67964 | − | 0.642594i | ||||
\(575\) | −241.438 | −0.419892 | ||||||||
\(576\) | 14.0448 | + | 191.486i | 0.0243833 | + | 0.332440i | ||||
\(577\) | 231.479 | + | 133.645i | 0.401177 | + | 0.231620i | 0.686992 | − | 0.726665i | \(-0.258931\pi\) |
−0.285815 | + | 0.958285i | \(0.592264\pi\) | |||||||
\(578\) | 389.401 | − | 334.928i | 0.673704 | − | 0.579460i | ||||
\(579\) | −111.863 | + | 417.478i | −0.193200 | + | 0.721033i | ||||
\(580\) | −375.113 | + | 469.867i | −0.646746 | + | 0.810116i | ||||
\(581\) | −141.621 | + | 204.045i | −0.243754 | + | 0.351195i | ||||
\(582\) | 92.6513 | − | 44.5884i | 0.159195 | − | 0.0766123i | ||||
\(583\) | 1012.27 | − | 584.433i | 1.73631 | − | 1.00246i | ||||
\(584\) | 1062.35 | − | 38.9077i | 1.81910 | − | 0.0666228i | ||||
\(585\) | −368.525 | − | 212.768i | −0.629958 | − | 0.363706i | ||||
\(586\) | −130.993 | − | 89.3604i | −0.223538 | − | 0.152492i | ||||
\(587\) | −651.491 | + | 651.491i | −1.10987 | + | 1.10987i | −0.116699 | + | 0.993167i | \(0.537231\pi\) |
−0.993167 | + | 0.116699i | \(0.962769\pi\) | |||||||
\(588\) | −185.533 | + | 284.299i | −0.315532 | + | 0.483501i | ||||
\(589\) | −162.317 | + | 162.317i | −0.275581 | + | 0.275581i | ||||
\(590\) | 816.179 | − | 154.206i | 1.38335 | − | 0.261366i | ||||
\(591\) | 343.275 | + | 198.190i | 0.580837 | + | 0.335346i | ||||
\(592\) | −309.964 | − | 587.983i | −0.523588 | − | 0.993215i | ||||
\(593\) | −459.684 | + | 265.399i | −0.775184 | + | 0.447553i | −0.834721 | − | 0.550673i | \(-0.814371\pi\) |
0.0595367 | + | 0.998226i | \(0.481038\pi\) | |||||||
\(594\) | 165.433 | + | 57.9364i | 0.278506 | + | 0.0975360i | ||||
\(595\) | 128.296 | − | 184.846i | 0.215623 | − | 0.310665i | ||||
\(596\) | 77.6992 | + | 692.888i | 0.130368 | + | 1.16256i | ||||
\(597\) | −141.721 | + | 528.909i | −0.237388 | + | 0.885945i | ||||
\(598\) | −127.700 | + | 1698.02i | −0.213545 | + | 2.83950i | ||||
\(599\) | 579.307 | + | 334.463i | 0.967123 | + | 0.558369i | 0.898358 | − | 0.439264i | \(-0.144761\pi\) |
0.0687652 | + | 0.997633i | \(0.478094\pi\) | |||||||
\(600\) | 28.9220 | + | 94.0273i | 0.0482034 | + | 0.156712i | ||||
\(601\) | −533.881 | −0.888321 | −0.444161 | − | 0.895947i | \(-0.646498\pi\) | ||||
−0.444161 | + | 0.895947i | \(0.646498\pi\) | |||||||
\(602\) | 382.996 | + | 171.035i | 0.636206 | + | 0.284111i | ||||
\(603\) | −79.2038 | − | 79.2038i | −0.131350 | − | 0.131350i | ||||
\(604\) | 218.349 | + | 33.0288i | 0.361506 | + | 0.0546835i | ||||
\(605\) | 894.696 | − | 239.733i | 1.47884 | − | 0.396253i | ||||
\(606\) | 70.8843 | − | 60.9683i | 0.116971 | − | 0.100608i | ||||
\(607\) | −611.157 | + | 352.852i | −1.00685 | + | 0.581304i | −0.910267 | − | 0.414021i | \(-0.864124\pi\) |
−0.0965812 | + | 0.995325i | \(0.530791\pi\) | |||||||
\(608\) | 383.241 | − | 304.797i | 0.630330 | − | 0.501311i | ||||
\(609\) | 302.711 | + | 108.764i | 0.497063 | + | 0.178594i | ||||
\(610\) | −680.855 | − | 238.443i | −1.11616 | − | 0.390891i | ||||
\(611\) | 646.025 | + | 173.102i | 1.05732 | + | 0.283309i | ||||
\(612\) | −63.3882 | + | 24.8394i | −0.103576 | + | 0.0405873i | ||||
\(613\) | −207.891 | + | 55.7041i | −0.339136 | + | 0.0908713i | −0.424368 | − | 0.905490i | \(-0.639504\pi\) |
0.0852315 | + | 0.996361i | \(0.472837\pi\) | |||||||
\(614\) | −550.897 | + | 807.559i | −0.897226 | + | 1.31524i | ||||
\(615\) | −723.555 | −1.17651 | ||||||||
\(616\) | 509.803 | − | 795.142i | 0.827603 | − | 1.29081i | ||||
\(617\) | − | 556.548i | − | 0.902022i | −0.892518 | − | 0.451011i | \(-0.851064\pi\) | ||
0.892518 | − | 0.451011i | \(-0.148936\pi\) | |||||||
\(618\) | 20.9744 | − | 30.7463i | 0.0339391 | − | 0.0497513i | ||||
\(619\) | 148.469 | + | 554.094i | 0.239853 | + | 0.895143i | 0.975901 | + | 0.218214i | \(0.0700231\pi\) |
−0.736048 | + | 0.676929i | \(0.763310\pi\) | |||||||
\(620\) | 311.529 | + | 136.115i | 0.502467 | + | 0.219540i | ||||
\(621\) | 45.7352 | − | 170.686i | 0.0736476 | − | 0.274857i | ||||
\(622\) | −180.466 | − | 63.2011i | −0.290138 | − | 0.101610i | ||||
\(623\) | −27.0311 | + | 22.8728i | −0.0433887 | + | 0.0367139i | ||||
\(624\) | 676.587 | − | 153.675i | 1.08427 | − | 0.246274i | ||||
\(625\) | −376.043 | − | 651.325i | −0.601669 | − | 1.04212i | ||||
\(626\) | −88.5012 | + | 76.1207i | −0.141376 | + | 0.121599i | ||||
\(627\) | −115.702 | − | 431.804i | −0.184532 | − | 0.688683i | ||||
\(628\) | 358.904 | − | 264.591i | 0.571503 | − | 0.421323i | ||||
\(629\) | 166.658 | − | 166.658i | 0.264957 | − | 0.264957i | ||||
\(630\) | 192.668 | − | 139.652i | 0.305822 | − | 0.221670i | ||||
\(631\) | − | 295.557i | − | 0.468395i | −0.972189 | − | 0.234197i | \(-0.924754\pi\) | ||
0.972189 | − | 0.234197i | \(-0.0752462\pi\) | |||||||
\(632\) | −152.863 | + | 288.677i | −0.241871 | + | 0.456767i | ||||
\(633\) | −34.4410 | + | 59.6536i | −0.0544092 | + | 0.0942395i | ||||
\(634\) | 34.3946 | − | 457.343i | 0.0542501 | − | 0.721361i | ||||
\(635\) | 34.4465 | + | 9.22990i | 0.0542464 | + | 0.0145353i | ||||
\(636\) | −299.551 | + | 375.219i | −0.470993 | + | 0.589967i | ||||
\(637\) | 1116.07 | + | 509.251i | 1.75208 | + | 0.799453i | ||||
\(638\) | −844.646 | − | 295.805i | −1.32390 | − | 0.463644i | ||||
\(639\) | −6.14961 | − | 10.6514i | −0.00962380 | − | 0.0166689i | ||||
\(640\) | −627.373 | − | 363.762i | −0.980270 | − | 0.568378i | ||||
\(641\) | −87.1057 | + | 150.871i | −0.135890 | + | 0.235369i | −0.925937 | − | 0.377678i | \(-0.876723\pi\) |
0.790047 | + | 0.613046i | \(0.210056\pi\) | |||||||
\(642\) | −495.013 | + | 93.5261i | −0.771048 | + | 0.145679i | ||||
\(643\) | −92.0384 | − | 92.0384i | −0.143139 | − | 0.143139i | 0.631906 | − | 0.775045i | \(-0.282273\pi\) |
−0.775045 | + | 0.631906i | \(0.782273\pi\) | |||||||
\(644\) | −837.882 | − | 452.380i | −1.30106 | − | 0.702454i | ||||
\(645\) | −207.897 | − | 207.897i | −0.322321 | − | 0.322321i | ||||
\(646\) | 143.435 | + | 97.8479i | 0.222036 | + | 0.151467i | ||||
\(647\) | 93.7285 | − | 162.343i | 0.144866 | − | 0.250916i | −0.784457 | − | 0.620184i | \(-0.787058\pi\) |
0.929323 | + | 0.369268i | \(0.120391\pi\) | |||||||
\(648\) | −71.9518 | + | 2.63516i | −0.111037 | + | 0.00406661i | ||||
\(649\) | 618.191 | + | 1070.74i | 0.952529 | + | 1.64983i | ||||
\(650\) | 320.328 | − | 154.157i | 0.492812 | − | 0.237165i | ||||
\(651\) | 15.1034 | − | 181.252i | 0.0232003 | − | 0.278421i | ||||
\(652\) | −260.739 | + | 29.2388i | −0.399906 | + | 0.0448448i | ||||
\(653\) | −522.499 | − | 140.003i | −0.800152 | − | 0.214400i | −0.164501 | − | 0.986377i | \(-0.552601\pi\) |
−0.635651 | + | 0.771977i | \(0.719268\pi\) | |||||||
\(654\) | −438.071 | + | 376.789i | −0.669833 | + | 0.576130i | ||||
\(655\) | −547.794 | + | 948.807i | −0.836326 | + | 1.44856i | ||||
\(656\) | 865.647 | − | 801.503i | 1.31958 | − | 1.22180i | ||||
\(657\) | 398.650i | 0.606773i | ||||||||
\(658\) | −235.689 | + | 290.386i | −0.358190 | + | 0.441316i | ||||
\(659\) | −34.4272 | + | 34.4272i | −0.0522416 | + | 0.0522416i | −0.732745 | − | 0.680503i | \(-0.761761\pi\) |
0.680503 | + | 0.732745i | \(0.261761\pi\) | |||||||
\(660\) | −532.904 | + | 392.867i | −0.807431 | + | 0.595253i | ||||
\(661\) | −166.073 | − | 619.794i | −0.251246 | − | 0.937661i | −0.970141 | − | 0.242543i | \(-0.922019\pi\) |
0.718895 | − | 0.695118i | \(-0.244648\pi\) | |||||||
\(662\) | −12.9136 | − | 0.971173i | −0.0195070 | − | 0.00146703i | ||||
\(663\) | 123.011 | + | 213.061i | 0.185537 | + | 0.321359i | ||||
\(664\) | −63.3837 | + | 276.691i | −0.0954574 | + | 0.416704i | ||||
\(665\) | −571.129 | − | 205.206i | −0.858840 | − | 0.308581i | ||||
\(666\) | 224.600 | − | 108.089i | 0.337238 | − | 0.162295i | ||||
\(667\) | −233.509 | + | 871.468i | −0.350089 | + | 1.30655i | ||||
\(668\) | −72.1939 | + | 28.2900i | −0.108075 | + | 0.0423503i | ||||
\(669\) | −28.6234 | − | 106.824i | −0.0427853 | − | 0.159677i | ||||
\(670\) | 415.722 | − | 78.5451i | 0.620480 | − | 0.117232i | ||||
\(671\) | − | 1073.81i | − | 1.60031i | ||||||
\(672\) | −75.8077 | + | 380.501i | −0.112809 | + | 0.566222i | ||||
\(673\) | −74.3641 | −0.110496 | −0.0552482 | − | 0.998473i | \(-0.517595\pi\) | ||||
−0.0552482 | + | 0.998473i | \(0.517595\pi\) | |||||||
\(674\) | −180.056 | − | 952.994i | −0.267145 | − | 1.41394i | ||||
\(675\) | −35.6336 | + | 9.54799i | −0.0527905 | + | 0.0141452i | ||||
\(676\) | −668.117 | − | 1704.98i | −0.988339 | − | 2.52216i | ||||
\(677\) | 589.030 | + | 157.830i | 0.870060 | + | 0.233132i | 0.666114 | − | 0.745850i | \(-0.267957\pi\) |
0.203946 | + | 0.978982i | \(0.434623\pi\) | |||||||
\(678\) | 3.01098 | + | 6.25659i | 0.00444097 | + | 0.00922801i | ||||
\(679\) | 204.468 | − | 36.9247i | 0.301131 | − | 0.0543810i | ||||
\(680\) | 57.4198 | − | 250.657i | 0.0844409 | − | 0.368614i | ||||
\(681\) | 128.623 | − | 74.2603i | 0.188873 | − | 0.109046i | ||||
\(682\) | −37.9500 | + | 504.619i | −0.0556451 | + | 0.739910i | ||||
\(683\) | −451.301 | + | 120.926i | −0.660764 | + | 0.177051i | −0.573591 | − | 0.819142i | \(-0.694450\pi\) |
−0.0871730 | + | 0.996193i | \(0.527783\pi\) | |||||||
\(684\) | 108.962 | + | 147.802i | 0.159302 | + | 0.216085i | ||||
\(685\) | 627.597 | + | 627.597i | 0.916200 | + | 0.916200i | ||||
\(686\) | −514.504 | + | 453.742i | −0.750006 | + | 0.661431i | ||||
\(687\) | −348.361 | −0.507075 | ||||||||
\(688\) | 479.018 | + | 18.4303i | 0.696246 | + | 0.0267882i | ||||
\(689\) | 1502.55 | + | 867.500i | 2.18078 | + | 1.25907i | ||||
\(690\) | 435.230 | + | 506.016i | 0.630767 | + | 0.733357i | ||||
\(691\) | 38.2694 | − | 142.823i | 0.0553827 | − | 0.206691i | −0.932690 | − | 0.360679i | \(-0.882545\pi\) |
0.988073 | + | 0.153988i | \(0.0492117\pi\) | |||||||
\(692\) | 11.7216 | + | 104.528i | 0.0169387 | + | 0.151052i | ||||
\(693\) | 290.981 | + | 201.961i | 0.419887 | + | 0.291431i | ||||
\(694\) | −68.1863 | − | 141.686i | −0.0982511 | − | 0.204158i | ||||
\(695\) | −621.545 | + | 358.849i | −0.894310 | + | 0.516330i | ||||
\(696\) | 367.363 | − | 13.4543i | 0.527820 | − | 0.0193309i | ||||
\(697\) | 362.275 | + | 209.159i | 0.519763 | + | 0.300085i | ||||
\(698\) | 103.625 | − | 151.904i | 0.148461 | − | 0.217628i | ||||
\(699\) | 67.2814 | − | 67.2814i | 0.0962538 | − | 0.0962538i | ||||
\(700\) | 5.67179 | + | 198.708i | 0.00810255 | + | 0.283868i | ||||
\(701\) | 629.153 | − | 629.153i | 0.897508 | − | 0.897508i | −0.0977076 | − | 0.995215i | \(-0.531151\pi\) |
0.995215 | + | 0.0977076i | \(0.0311510\pi\) | |||||||
\(702\) | 48.3034 | + | 255.659i | 0.0688082 | + | 0.364187i | ||||
\(703\) | −550.524 | − | 317.845i | −0.783107 | − | 0.452127i | ||||
\(704\) | 202.366 | − | 1060.33i | 0.287452 | − | 1.50615i | ||||
\(705\) | 227.029 | − | 131.075i | 0.322026 | − | 0.185922i | ||||
\(706\) | 52.1628 | − | 148.947i | 0.0738850 | − | 0.210972i | ||||
\(707\) | 170.899 | − | 80.5527i | 0.241725 | − | 0.113936i | ||||
\(708\) | −396.892 | − | 316.854i | −0.560582 | − | 0.447534i | ||||
\(709\) | −33.6859 | + | 125.717i | −0.0475118 | + | 0.177316i | −0.985604 | − | 0.169068i | \(-0.945924\pi\) |
0.938093 | + | 0.346385i | \(0.112591\pi\) | |||||||
\(710\) | 46.3245 | + | 3.48385i | 0.0652458 | + | 0.00490683i | ||||
\(711\) | −106.083 | − | 61.2471i | −0.149203 | − | 0.0861422i | ||||
\(712\) | −18.9379 | + | 35.7636i | −0.0265981 | + | 0.0502297i | ||||
\(713\) | 510.152 | 0.715501 | ||||||||
\(714\) | −136.836 | + | 14.2271i | −0.191647 | + | 0.0199259i | ||||
\(715\) | 1691.73 | + | 1691.73i | 2.36606 | + | 2.36606i | ||||
\(716\) | 112.233 | + | 152.239i | 0.156751 | + | 0.212624i | ||||
\(717\) | −721.737 | + | 193.389i | −1.00661 | + | 0.269719i | ||||
\(718\) | 861.789 | + | 1001.95i | 1.20026 | + | 1.39548i | ||||
\(719\) | −115.680 | + | 66.7877i | −0.160890 | + | 0.0928897i | −0.578283 | − | 0.815836i | \(-0.696277\pi\) |
0.417393 | + | 0.908726i | \(0.362944\pi\) | |||||||
\(720\) | 144.930 | − | 230.115i | 0.201292 | − | 0.319604i | ||||
\(721\) | 57.4137 | − | 48.5813i | 0.0796307 | − | 0.0673805i | ||||
\(722\) | −83.8517 | + | 239.432i | −0.116138 | + | 0.331623i | ||||
\(723\) | 141.132 | + | 37.8162i | 0.195203 | + | 0.0523045i | ||||
\(724\) | −166.345 | + | 380.718i | −0.229759 | + | 0.525854i | ||||
\(725\) | 181.934 | − | 48.7490i | 0.250943 | − | 0.0672399i | ||||
\(726\) | −467.843 | − | 319.151i | −0.644412 | − | 0.439602i | ||||
\(727\) | 1271.83 | 1.74942 | 0.874710 | − | 0.484646i | \(-0.161052\pi\) | ||||
0.874710 | + | 0.484646i | \(0.161052\pi\) | |||||||
\(728\) | 1400.50 | + | 65.2100i | 1.92377 | + | 0.0895742i | ||||
\(729\) | − | 27.0000i | − | 0.0370370i | ||||||
\(730\) | −1243.88 | − | 848.543i | −1.70394 | − | 1.16239i | ||||
\(731\) | 43.9942 | + | 164.189i | 0.0601836 | + | 0.224608i | ||||
\(732\) | 160.928 | + | 410.675i | 0.219847 | + | 0.561031i | ||||
\(733\) | −140.784 | + | 525.414i | −0.192066 | + | 0.716800i | 0.800941 | + | 0.598743i | \(0.204333\pi\) |
−0.993007 | + | 0.118056i | \(0.962334\pi\) | |||||||
\(734\) | 283.428 | − | 809.306i | 0.386142 | − | 1.10260i | ||||
\(735\) | 450.474 | − | 168.186i | 0.612890 | − | 0.228825i | ||||
\(736\) | −1081.23 | − | 123.271i | −1.46906 | − | 0.167488i | ||||
\(737\) | 314.877 | + | 545.382i | 0.427241 | + | 0.740003i | ||||
\(738\) | 288.481 | + | 335.401i | 0.390896 | + | 0.454472i | ||||
\(739\) | −183.241 | − | 683.867i | −0.247959 | − | 0.925395i | −0.971873 | − | 0.235505i | \(-0.924326\pi\) |
0.723914 | − | 0.689890i | \(-0.242341\pi\) | |||||||
\(740\) | −140.810 | + | 930.874i | −0.190283 | + | 1.25794i | ||||
\(741\) | 469.205 | − | 469.205i | 0.633206 | − | 0.633206i | ||||
\(742\) | −785.548 | + | 569.390i | −1.05869 | + | 0.767372i | ||||
\(743\) | − | 929.675i | − | 1.25124i | −0.780126 | − | 0.625622i | \(-0.784845\pi\) | ||
0.780126 | − | 0.625622i | \(-0.215155\pi\) | |||||||
\(744\) | −61.1114 | − | 198.677i | −0.0821390 | − | 0.267039i | ||||
\(745\) | 493.784 | − | 855.258i | 0.662797 | − | 1.14800i | ||||
\(746\) | 321.724 | + | 24.1953i | 0.431266 | + | 0.0324334i | ||||
\(747\) | −102.820 | − | 27.5505i | −0.137644 | − | 0.0368815i | ||||
\(748\) | 380.385 | − | 42.6557i | 0.508537 | − | 0.0570263i | ||||
\(749\) | −1014.47 | − | 84.5335i | −1.35443 | − | 0.112862i | ||||
\(750\) | −116.121 | + | 331.575i | −0.154828 | + | 0.442100i | ||||
\(751\) | 214.090 | + | 370.815i | 0.285074 | + | 0.493762i | 0.972627 | − | 0.232372i | \(-0.0746486\pi\) |
−0.687553 | + | 0.726134i | \(0.741315\pi\) | |||||||
\(752\) | −126.417 | + | 408.302i | −0.168108 | + | 0.542955i | ||||
\(753\) | 174.405 | − | 302.078i | 0.231613 | − | 0.401166i | ||||
\(754\) | −246.622 | − | 1305.31i | −0.327084 | − | 1.73119i | ||||
\(755\) | −221.177 | − | 221.177i | −0.292949 | − | 0.292949i | ||||
\(756\) | −141.552 | − | 33.6311i | −0.187238 | − | 0.0444856i | ||||
\(757\) | −218.356 | − | 218.356i | −0.288449 | − | 0.288449i | 0.548018 | − | 0.836467i | \(-0.315383\pi\) |
−0.836467 | + | 0.548018i | \(0.815383\pi\) | |||||||
\(758\) | 479.110 | − | 702.327i | 0.632071 | − | 0.926553i | ||||
\(759\) | −496.745 | + | 860.388i | −0.654473 | + | 1.13358i | ||||
\(760\) | −693.107 | + | 25.3844i | −0.911983 | + | 0.0334005i | ||||
\(761\) | −412.048 | − | 713.688i | −0.541456 | − | 0.937829i | −0.998821 | − | 0.0485498i | \(-0.984540\pi\) |
0.457365 | − | 0.889279i | \(-0.348793\pi\) | |||||||
\(762\) | −9.45533 | − | 19.6475i | −0.0124086 | − | 0.0257841i | ||||
\(763\) | −1056.17 | + | 497.823i | −1.38424 | + | 0.652455i | ||||
\(764\) | −256.742 | − | 204.967i | −0.336050 | − | 0.268282i | ||||
\(765\) | 93.1454 | + | 24.9582i | 0.121759 | + | 0.0326251i | ||||
\(766\) | 775.933 | + | 902.132i | 1.01297 | + | 1.17772i | ||||
\(767\) | −917.609 | + | 1589.35i | −1.19636 | + | 2.07216i | ||||
\(768\) | 81.5135 | + | 435.848i | 0.106137 | + | 0.567511i | ||||
\(769\) | 387.514i | 0.503919i | 0.967738 | + | 0.251960i | \(0.0810750\pi\) | ||||
−0.967738 | + | 0.251960i | \(0.918925\pi\) | |||||||
\(770\) | −1249.53 | + | 478.044i | −1.62277 | + | 0.620837i | ||||
\(771\) | 277.544 | − | 277.544i | 0.359980 | − | 0.359980i | ||||
\(772\) | −149.286 | + | 986.908i | −0.193375 | + | 1.27838i | ||||
\(773\) | −58.5545 | − | 218.528i | −0.0757497 | − | 0.282702i | 0.917653 | − | 0.397384i | \(-0.130082\pi\) |
−0.993402 | + | 0.114682i | \(0.963415\pi\) | |||||||
\(774\) | −13.4812 | + | 179.258i | −0.0174175 | + | 0.231600i | ||||
\(775\) | −53.2514 | − | 92.2341i | −0.0687115 | − | 0.119012i | ||||
\(776\) | 201.161 | − | 126.176i | 0.259228 | − | 0.162598i | ||||
\(777\) | 495.660 | − | 89.5107i | 0.637915 | − | 0.115200i | ||||
\(778\) | −491.138 | − | 1020.55i | −0.631283 | − | 1.31176i | ||||
\(779\) | 292.017 | − | 1089.82i | 0.374862 | − | 1.39900i | ||||
\(780\) | −900.530 | − | 393.463i | −1.15453 | − | 0.504440i | ||||
\(781\) | 17.8971 | + | 66.7930i | 0.0229156 | + | 0.0855224i | ||||
\(782\) | −71.6389 | − | 379.169i | −0.0916098 | − | 0.484870i | ||||
\(783\) | 137.853i | 0.176058i | ||||||||
\(784\) | −352.634 | + | 700.218i | −0.449788 | + | 0.893136i | ||||
\(785\) | −631.568 | −0.804545 | ||||||||
\(786\) | 658.221 | − | 124.362i | 0.837431 | − | 0.158221i | ||||
\(787\) | 270.356 | − | 72.4416i | 0.343527 | − | 0.0920478i | −0.0829306 | − | 0.996555i | \(-0.526428\pi\) |
0.426458 | + | 0.904508i | \(0.359761\pi\) | |||||||
\(788\) | 838.827 | + | 366.504i | 1.06450 | + | 0.465106i | ||||
\(789\) | −92.5529 | − | 24.7995i | −0.117304 | − | 0.0314315i | ||||
\(790\) | 416.907 | − | 200.636i | 0.527731 | − | 0.253970i | ||||
\(791\) | 2.49346 | + | 13.8074i | 0.00315229 | + | 0.0174556i | ||||
\(792\) | 394.581 | + | 90.3894i | 0.498208 | + | 0.114128i | ||||
\(793\) | 1380.36 | − | 796.953i | 1.74068 | − | 1.00498i | ||||
\(794\) | 1317.35 | + | 99.0715i | 1.65913 | + | 0.124775i | ||||
\(795\) | 656.883 | − | 176.011i | 0.826268 | − | 0.221398i | ||||
\(796\) | −189.132 | + | 1250.33i | −0.237603 | + | 1.57076i | ||||
\(797\) | 82.7487 | + | 82.7487i | 0.103825 | + | 0.103825i | 0.757111 | − | 0.653286i | \(-0.226610\pi\) |
−0.653286 | + | 0.757111i | \(0.726610\pi\) | |||||||
\(798\) | 132.587 | + | 346.560i | 0.166149 | + | 0.434286i | ||||
\(799\) | −151.561 | −0.189688 | ||||||||
\(800\) | 90.5753 | + | 208.351i | 0.113219 | + | 0.260439i | ||||
\(801\) | −13.1424 | − | 7.58779i | −0.0164075 | − | 0.00947290i | ||||
\(802\) | 373.789 | − | 321.499i | 0.466071 | − | 0.400872i | ||||
\(803\) | 580.093 | − | 2164.94i | 0.722407 | − | 2.69606i | ||||
\(804\) | −202.158 | − | 161.390i | −0.251440 | − | 0.200734i | ||||
\(805\) | 575.036 | + | 1219.99i | 0.714330 | + | 1.51551i | ||||
\(806\) | −676.843 | + | 325.730i | −0.839756 | + | 0.404132i | ||||
\(807\) | −588.742 | + | 339.910i | −0.729543 | + | 0.421202i | ||||
\(808\) | 146.990 | − | 158.166i | 0.181918 | − | 0.195750i | ||||
\(809\) | 419.670 | + | 242.297i | 0.518752 | + | 0.299502i | 0.736424 | − | 0.676520i | \(-0.236513\pi\) |
−0.217672 | + | 0.976022i | \(0.569846\pi\) | |||||||
\(810\) | 84.2461 | + | 57.4706i | 0.104007 | + | 0.0709513i | ||||
\(811\) | 1033.29 | − | 1033.29i | 1.27409 | − | 1.27409i | 0.330168 | − | 0.943922i | \(-0.392895\pi\) |
0.943922 | − | 0.330168i | \(-0.107105\pi\) | |||||||
\(812\) | 722.719 | + | 171.710i | 0.890048 | + | 0.211465i | ||||
\(813\) | −427.630 | + | 427.630i | −0.525990 | + | 0.525990i | ||||
\(814\) | −1377.01 | + | 260.168i | −1.69166 | + | 0.319617i | ||||
\(815\) | 321.840 | + | 185.814i | 0.394896 | + | 0.227993i | ||||
\(816\) | −139.084 | + | 73.3204i | −0.170447 | + | 0.0898534i | ||||
\(817\) | 397.041 | − | 229.232i | 0.485974 | − | 0.280577i | ||||
\(818\) | −181.593 | − | 63.5959i | −0.221996 | − | 0.0777456i | ||||
\(819\) | −43.6590 | + | 523.941i | −0.0533077 | + | 0.639733i | ||||
\(820\) | −1660.57 | + | 186.213i | −2.02508 | + | 0.227089i | ||||
\(821\) | −117.557 | + | 438.730i | −0.143188 | + | 0.534385i | 0.856641 | + | 0.515913i | \(0.172547\pi\) |
−0.999829 | + | 0.0184729i | \(0.994120\pi\) | |||||||
\(822\) | 40.6968 | − | 541.143i | 0.0495095 | − | 0.658325i | ||||
\(823\) | −915.273 | − | 528.433i | −1.11212 | − | 0.642081i | −0.172741 | − | 0.984967i | \(-0.555262\pi\) |
−0.939377 | + | 0.342886i | \(0.888596\pi\) | |||||||
\(824\) | 40.2237 | − | 75.9612i | 0.0488152 | − | 0.0921860i | ||||
\(825\) | 207.408 | 0.251403 | ||||||||
\(826\) | −602.280 | − | 830.923i | −0.729152 | − | 1.00596i | ||||
\(827\) | −82.6632 | − | 82.6632i | −0.0999555 | − | 0.0999555i | 0.655361 | − | 0.755316i | \(-0.272517\pi\) |
−0.755316 | + | 0.655361i | \(0.772517\pi\) | |||||||
\(828\) | 61.0354 | − | 403.498i | 0.0737143 | − | 0.487316i | ||||
\(829\) | 549.953 | − | 147.359i | 0.663393 | − | 0.177756i | 0.0886163 | − | 0.996066i | \(-0.471756\pi\) |
0.574777 | + | 0.818310i | \(0.305089\pi\) | |||||||
\(830\) | 304.820 | − | 262.179i | 0.367253 | − | 0.315878i | ||||
\(831\) | 655.297 | − | 378.336i | 0.788564 | − | 0.455278i | ||||
\(832\) | 1513.23 | − | 526.811i | 1.81878 | − | 0.633187i | ||||
\(833\) | −274.165 | − | 46.0107i | −0.329129 | − | 0.0552349i | ||||
\(834\) | 414.153 | + | 145.041i | 0.496587 | + | 0.173910i | ||||
\(835\) | 106.085 | + | 28.4253i | 0.127048 | + | 0.0340423i | ||||
\(836\) | −376.666 | − | 961.221i | −0.450557 | − | 1.14979i | ||||
\(837\) | 75.2927 | − | 20.1746i | 0.0899554 | − | 0.0241035i | ||||
\(838\) | 22.3470 | − | 32.7585i | 0.0266671 | − | 0.0390912i | ||||
\(839\) | −477.107 | −0.568662 | −0.284331 | − | 0.958726i | \(-0.591771\pi\) | ||||
−0.284331 | + | 0.958726i | \(0.591771\pi\) | |||||||
\(840\) | 406.236 | − | 370.089i | 0.483614 | − | 0.440582i | ||||
\(841\) | 137.165i | 0.163097i | ||||||||
\(842\) | −851.966 | + | 1248.90i | −1.01184 | + | 1.48325i | ||||
\(843\) | −69.2339 | − | 258.384i | −0.0821280 | − | 0.306506i | ||||
\(844\) | −63.6903 | + | 145.770i | −0.0754625 | + | 0.172713i | ||||
\(845\) | −671.313 | + | 2505.38i | −0.794454 | + | 2.96494i | ||||
\(846\) | −151.276 | − | 52.9785i | −0.178813 | − | 0.0626223i | ||||
\(847\) | −739.225 | − | 873.620i | −0.872756 | − | 1.03143i | ||||
\(848\) | −590.909 | + | 938.225i | −0.696827 | + | 1.10640i | ||||
\(849\) | 10.6912 | + | 18.5177i | 0.0125927 | + | 0.0218112i | ||||
\(850\) | −61.0748 | + | 52.5310i | −0.0718527 | + | 0.0618012i | ||||
\(851\) | 365.647 | + | 1364.61i | 0.429668 | + | 1.60354i | ||||
\(852\) | −16.8547 | − | 22.8626i | −0.0197825 | − | 0.0268340i | ||||
\(853\) | −39.2721 | + | 39.2721i | −0.0460399 | + | 0.0460399i | −0.729752 | − | 0.683712i | \(-0.760364\pi\) |
0.683712 | + | 0.729752i | \(0.260364\pi\) | |||||||
\(854\) | 92.1734 | + | 886.523i | 0.107931 | + | 1.03808i | ||||
\(855\) | − | 260.089i | − | 0.304198i | ||||||
\(856\) | −1111.99 | + | 342.040i | −1.29906 | + | 0.399579i | ||||
\(857\) | 357.357 | − | 618.961i | 0.416986 | − | 0.722241i | −0.578649 | − | 0.815577i | \(-0.696420\pi\) |
0.995635 | + | 0.0933358i | \(0.0297530\pi\) | |||||||
\(858\) | 109.701 | − | 1458.69i | 0.127857 | − | 1.70010i | ||||
\(859\) | −234.311 | − | 62.7835i | −0.272772 | − | 0.0730890i | 0.119840 | − | 0.992793i | \(-0.461762\pi\) |
−0.392612 | + | 0.919704i | \(0.628428\pi\) | |||||||
\(860\) | −530.631 | − | 423.623i | −0.617013 | − | 0.492585i | ||||
\(861\) | 381.148 | + | 808.638i | 0.442681 | + | 0.939185i | ||||
\(862\) | −402.688 | − | 141.026i | −0.467156 | − | 0.163603i | ||||
\(863\) | 824.318 | + | 1427.76i | 0.955177 | + | 1.65442i | 0.733962 | + | 0.679191i | \(0.237669\pi\) |
0.221216 | + | 0.975225i | \(0.428997\pi\) | |||||||
\(864\) | −164.452 | + | 24.5652i | −0.190338 | + | 0.0284319i | ||||
\(865\) | 74.4913 | − | 129.023i | 0.0861172 | − | 0.149159i | ||||
\(866\) | 883.735 | − | 166.970i | 1.02048 | − | 0.192806i | ||||
\(867\) | 314.529 | + | 314.529i | 0.362779 | + | 0.362779i | ||||
\(868\) | −11.9843 | − | 419.864i | −0.0138068 | − | 0.483714i | ||||
\(869\) | 486.979 | + | 486.979i | 0.560390 | + | 0.560390i | ||||
\(870\) | −430.133 | − | 293.426i | −0.494406 | − | 0.337272i | ||||
\(871\) | −467.386 | + | 809.536i | −0.536608 | + | 0.929432i | ||||
\(872\) | −908.410 | + | 977.479i | −1.04175 | + | 1.12096i | ||||
\(873\) | 44.5233 | + | 77.1166i | 0.0510003 | + | 0.0883352i | ||||
\(874\) | −937.819 | + | 451.325i | −1.07302 | + | 0.516390i | ||||
\(875\) | −404.789 | + | 583.211i | −0.462616 | + | 0.666527i | ||||
\(876\) | 102.596 | + | 914.909i | 0.117119 | + | 1.04442i | ||||
\(877\) | 806.688 | + | 216.151i | 0.919827 | + | 0.246467i | 0.687511 | − | 0.726174i | \(-0.258703\pi\) |
0.232315 | + | 0.972641i | \(0.425370\pi\) | |||||||
\(878\) | −288.169 | + | 247.857i | −0.328210 | + | 0.282297i | ||||
\(879\) | 68.6629 | − | 118.928i | 0.0781148 | − | 0.135299i | ||||
\(880\) | −1121.92 | + | 1038.78i | −1.27491 | + | 1.18044i | ||||
\(881\) | 330.602i | 0.375258i | 0.982240 | + | 0.187629i | \(0.0600803\pi\) | ||||
−0.982240 | + | 0.187629i | \(0.939920\pi\) | |||||||
\(882\) | −257.566 | − | 141.759i | −0.292025 | − | 0.160725i | ||||
\(883\) | 162.782 | − | 162.782i | 0.184351 | − | 0.184351i | −0.608898 | − | 0.793249i | \(-0.708388\pi\) |
0.793249 | + | 0.608898i | \(0.208388\pi\) | |||||||
\(884\) | 337.145 | + | 457.320i | 0.381385 | + | 0.517330i | ||||
\(885\) | 186.178 | + | 694.826i | 0.210371 | + | 0.785114i | ||||
\(886\) | 880.623 | + | 66.2274i | 0.993931 | + | 0.0747488i | ||||
\(887\) | −64.9925 | − | 112.570i | −0.0732722 | − | 0.126911i | 0.827061 | − | 0.562112i | \(-0.190011\pi\) |
−0.900334 | + | 0.435200i | \(0.856678\pi\) | |||||||
\(888\) | 487.643 | − | 305.868i | 0.549148 | − | 0.344446i | ||||
\(889\) | −7.83018 | − | 43.3591i | −0.00880785 | − | 0.0487729i | ||||
\(890\) | 51.6498 | − | 24.8564i | 0.0580335 | − | 0.0279286i | ||||
\(891\) | −39.2889 | + | 146.628i | −0.0440953 | + | 0.164566i | ||||
\(892\) | −93.1832 | − | 237.796i | −0.104465 | − | 0.266588i | ||||
\(893\) | 105.800 | + | 394.853i | 0.118478 | + | 0.442164i | ||||
\(894\) | −593.323 | + | 112.100i | −0.663672 | + | 0.125392i | ||||
\(895\) | − | 267.897i | − | 0.299326i | ||||||
\(896\) | −76.0545 | + | 892.766i | −0.0848823 | + | 0.996391i | ||||
\(897\) | −1474.68 | −1.64402 | ||||||||
\(898\) | 155.462 | + | 822.825i | 0.173120 | + | 0.916286i | ||||
\(899\) | −384.420 | + | 103.005i | −0.427609 | + | 0.114577i | ||||
\(900\) | −79.3224 | + | 31.0834i | −0.0881360 | + | 0.0345371i | ||||
\(901\) | −379.773 | − | 101.760i | −0.421502 | − | 0.112941i | ||||
\(902\) | −1078.59 | − | 2241.23i | −1.19578 | − | 2.48474i | ||||
\(903\) | −122.829 | + | 341.858i | −0.136024 | + | 0.378580i | ||||
\(904\) | 8.52043 | + | 13.5841i | 0.00942526 | + | 0.0150266i | ||||
\(905\) | 509.639 | − | 294.240i | 0.563137 | − | 0.325127i | ||||
\(906\) | −14.3423 | + | 190.709i | −0.0158303 | + | 0.210495i | ||||
\(907\) | −1521.62 | + | 407.716i | −1.67764 | + | 0.449521i | −0.967153 | − | 0.254194i | \(-0.918190\pi\) |
−0.710482 | + | 0.703715i | \(0.751523\pi\) | |||||||
\(908\) | 276.079 | − | 203.531i | 0.304052 | − | 0.224153i | ||||
\(909\) | 57.2550 | + | 57.2550i | 0.0629868 | + | 0.0629868i | ||||
\(910\) | −1541.88 | − | 1251.46i | −1.69438 | − | 1.37523i | ||||
\(911\) | −1125.46 | −1.23541 | −0.617706 | − | 0.786409i | \(-0.711938\pi\) | ||||
−0.617706 | + | 0.786409i | \(0.711938\pi\) | |||||||
\(912\) | 288.109 | + | 311.166i | 0.315909 | + | 0.341191i | ||||
\(913\) | 518.291 | + | 299.235i | 0.567679 | + | 0.327749i | ||||
\(914\) | 215.446 | + | 250.487i | 0.235718 | + | 0.274056i | ||||
\(915\) | 161.698 | − | 603.464i | 0.176719 | − | 0.659523i | ||||
\(916\) | −799.493 | + | 89.6537i | −0.872809 | + | 0.0978752i | ||||
\(917\) | 1348.94 | + | 112.405i | 1.47104 | + | 0.122579i | ||||
\(918\) | −25.5678 | − | 53.1280i | −0.0278516 | − | 0.0578736i | ||||
\(919\) | −843.217 | + | 486.831i | −0.917537 | + | 0.529740i | −0.882849 | − | 0.469658i | \(-0.844377\pi\) |
−0.0346888 | + | 0.999398i | \(0.511044\pi\) | |||||||
\(920\) | 1129.09 | + | 1049.31i | 1.22727 | + | 1.14055i | ||||
\(921\) | −733.176 | − | 423.299i | −0.796065 | − | 0.459608i | ||||
\(922\) | −640.455 | + | 938.842i | −0.694636 | + | 1.01827i | ||||
\(923\) | −72.5783 | + | 72.5783i | −0.0786331 | + | 0.0786331i | ||||
\(924\) | 719.784 | + | 388.618i | 0.778987 | + | 0.420582i | ||||
\(925\) | 208.551 | − | 208.551i | 0.225461 | − | 0.225461i | ||||
\(926\) | −118.422 | − | 626.782i | −0.127886 | − | 0.676871i | ||||
\(927\) | 27.9143 | + | 16.1163i | 0.0301125 | + | 0.0173855i | ||||
\(928\) | 839.641 | − | 125.422i | 0.904785 | − | 0.135153i | ||||
\(929\) | 339.800 | − | 196.183i | 0.365769 | − | 0.211177i | −0.305839 | − | 0.952083i | \(-0.598937\pi\) |
0.671609 | + | 0.740906i | \(0.265604\pi\) | |||||||
\(930\) | −97.3142 | + | 277.873i | −0.104639 | + | 0.298788i | ||||
\(931\) | 71.5180 | + | 746.385i | 0.0768184 | + | 0.801703i | ||||
\(932\) | 137.096 | − | 171.727i | 0.147099 | − | 0.184257i | ||||
\(933\) | 42.8591 | − | 159.952i | 0.0459369 | − | 0.171439i | ||||
\(934\) | 1198.42 | + | 90.1271i | 1.28310 | + | 0.0964958i | ||||
\(935\) | −469.524 | − | 271.080i | −0.502165 | − | 0.289925i | ||||
\(936\) | 176.653 | + | 574.311i | 0.188732 | + | 0.613580i | ||||
\(937\) | −1345.02 | −1.43545 | −0.717726 | − | 0.696326i | \(-0.754817\pi\) | ||||
−0.717726 | + | 0.696326i | \(0.754817\pi\) | |||||||
\(938\) | −306.772 | − | 423.232i | −0.327049 | − | 0.451207i | ||||
\(939\) | −71.4847 | − | 71.4847i | −0.0761285 | − | 0.0761285i | ||||
\(940\) | 487.301 | − | 359.247i | 0.518405 | − | 0.382178i | ||||
\(941\) | −447.057 | + | 119.789i | −0.475087 | + | 0.127299i | −0.488414 | − | 0.872612i | \(-0.662424\pi\) |
0.0133269 | + | 0.999911i | \(0.495758\pi\) | |||||||
\(942\) | 251.806 | + | 292.761i | 0.267310 | + | 0.310786i | ||||
\(943\) | −2171.52 | + | 1253.73i | −2.30278 | + | 1.32951i | ||||
\(944\) | −992.419 | − | 625.042i | −1.05129 | − | 0.662120i | ||||
\(945\) | 133.115 | + | 157.316i | 0.140862 | + | 0.166472i | ||||
\(946\) | 334.058 | − | 953.875i | 0.353127 | − | 1.00833i | ||||
\(947\) | −1152.67 | − | 308.858i | −1.21719 | − | 0.326144i | −0.407608 | − | 0.913157i | \(-0.633637\pi\) |
−0.809578 | + | 0.587013i | \(0.800304\pi\) | |||||||
\(948\) | −259.225 | − | 113.262i | −0.273444 | − | 0.119474i | ||||
\(949\) | 3213.51 | − | 861.059i | 3.38621 | − | 0.907332i | ||||
\(950\) | 179.491 | + | 122.444i | 0.188938 | + | 0.128889i | ||||
\(951\) | 397.189 | 0.417654 | ||||||||
\(952\) | −310.379 | + | 67.8673i | −0.326029 | + | 0.0712892i | ||||
\(953\) | 1440.54i | 1.51158i | 0.654813 | + | 0.755791i | \(0.272747\pi\) | ||||
−0.654813 | + | 0.755791i | \(0.727253\pi\) | |||||||
\(954\) | −343.489 | − | 234.320i | −0.360051 | − | 0.245618i | ||||
\(955\) | 120.435 | + | 449.470i | 0.126110 | + | 0.470650i | ||||
\(956\) | −1606.63 | + | 629.576i | −1.68057 | + | 0.658552i | ||||
\(957\) | 200.596 | − | 748.636i | 0.209610 | − | 0.782274i | ||||
\(958\) | 109.800 | − | 313.524i | 0.114614 | − | 0.327270i | ||||
\(959\) | 370.796 | − | 1032.00i | 0.386649 | − | 1.07612i | ||||
\(960\) | 273.394 | − | 565.416i | 0.284786 | − | 0.588975i | ||||
\(961\) | −367.981 | − | 637.362i | −0.382915 | − | 0.663228i | ||||
\(962\) | −1356.42 | − | 1577.03i | −1.41000 | − | 1.63933i | ||||
\(963\) | −112.917 | − | 421.412i | −0.117256 | − | 0.437604i | ||||
\(964\) | 333.632 | + | 50.4672i | 0.346092 | + | 0.0523519i | ||||
\(965\) | 999.687 | − | 999.687i | 1.03595 | − | 1.03595i | ||||
\(966\) | 336.252 | − | 752.964i | 0.348087 | − | 0.779466i | ||||
\(967\) | − | 1828.35i | − | 1.89075i | −0.325986 | − | 0.945375i | \(-0.605696\pi\) | ||
0.325986 | − | 0.945375i | \(-0.394304\pi\) | |||||||
\(968\) | −1155.84 | − | 612.053i | −1.19405 | − | 0.632286i | ||||
\(969\) | −75.1846 | + | 130.224i | −0.0775899 | + | 0.134390i | ||||
\(970\) | −335.391 | − | 25.2231i | −0.345764 | − | 0.0260032i | ||||
\(971\) | 301.047 | + | 80.6654i | 0.310038 | + | 0.0830745i | 0.410483 | − | 0.911868i | \(-0.365360\pi\) |
−0.100445 | + | 0.994943i | \(0.532027\pi\) | |||||||
\(972\) | −6.94869 | − | 61.9654i | −0.00714886 | − | 0.0637505i | ||||
\(973\) | 728.459 | + | 505.602i | 0.748674 | + | 0.519632i | ||||
\(974\) | 65.0353 | − | 185.703i | 0.0667713 | − | 0.190660i | ||||
\(975\) | 153.932 | + | 266.619i | 0.157879 | + | 0.273455i | ||||
\(976\) | 475.023 | + | 901.089i | 0.486704 | + | 0.923247i | ||||
\(977\) | 713.538 | − | 1235.88i | 0.730336 | − | 1.26498i | −0.226404 | − | 0.974033i | \(-0.572697\pi\) |
0.956740 | − | 0.290945i | \(-0.0939697\pi\) | |||||||
\(978\) | −42.1842 | − | 223.272i | −0.0431332 | − | 0.228294i | ||||
\(979\) | 60.3309 | + | 60.3309i | 0.0616250 | + | 0.0616250i | ||||
\(980\) | 990.561 | − | 501.924i | 1.01078 | − | 0.512167i | ||||
\(981\) | −353.841 | − | 353.841i | −0.360695 | − | 0.360695i | ||||
\(982\) | −159.606 | + | 233.967i | −0.162532 | + | 0.238255i | ||||
\(983\) | −707.090 | + | 1224.72i | −0.719318 | + | 1.24590i | 0.241952 | + | 0.970288i | \(0.422212\pi\) |
−0.961270 | + | 0.275608i | \(0.911121\pi\) | |||||||
\(984\) | 748.388 | + | 695.507i | 0.760557 | + | 0.706816i | ||||
\(985\) | −648.291 | − | 1122.87i | −0.658164 | − | 1.13997i | ||||
\(986\) | 130.541 | + | 271.255i | 0.132395 | + | 0.275106i | ||||
\(987\) | −266.081 | − | 184.678i | −0.269585 | − | 0.187111i | ||||
\(988\) | 956.080 | − | 1197.59i | 0.967692 | − | 1.21213i | ||||
\(989\) | −984.167 | − | 263.707i | −0.995113 | − | 0.266640i | ||||
\(990\) | −373.885 | − | 434.694i | −0.377661 | − | 0.439085i | ||||
\(991\) | 17.9331 | − | 31.0611i | 0.0180960 | − | 0.0313432i | −0.856836 | − | 0.515590i | \(-0.827573\pi\) |
0.874932 | + | 0.484247i | \(0.160906\pi\) | |||||||
\(992\) | −191.383 | − | 440.239i | −0.192926 | − | 0.443790i | ||||
\(993\) | − | 11.2151i | − | 0.0112942i | ||||||
\(994\) | −20.5090 | − | 53.6071i | −0.0206328 | − | 0.0539307i | ||||
\(995\) | 1266.52 | − | 1266.52i | 1.27288 | − | 1.27288i | ||||
\(996\) | −243.064 | − | 36.7672i | −0.244040 | − | 0.0369149i | ||||
\(997\) | 343.406 | + | 1281.61i | 0.344439 | + | 1.28546i | 0.893266 | + | 0.449528i | \(0.148408\pi\) |
−0.548827 | + | 0.835936i | \(0.684925\pi\) | |||||||
\(998\) | −90.1603 | + | 1198.86i | −0.0903410 | + | 1.20126i | ||||
\(999\) | 107.931 | + | 186.942i | 0.108039 | + | 0.187129i |
(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 | 336.3.bv.a.325.35 | yes | 256 | |
7.5 | odd | 6 | inner | 336.3.bv.a.229.52 | yes | 256 | |
16.13 | even | 4 | inner | 336.3.bv.a.157.52 | yes | 256 | |
112.61 | odd | 12 | inner | 336.3.bv.a.61.35 | ✓ | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.3.bv.a.61.35 | ✓ | 256 | 112.61 | odd | 12 | inner | |
336.3.bv.a.157.52 | yes | 256 | 16.13 | even | 4 | inner | |
336.3.bv.a.229.52 | yes | 256 | 7.5 | odd | 6 | inner | |
336.3.bv.a.325.35 | yes | 256 | 1.1 | even | 1 | trivial |