Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(71,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.n (of order \(5\), 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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 10 x^{10} - 9 x^{9} + 27 x^{8} - 26 x^{7} + 47 x^{6} + 46 x^{5} + 137 x^{4} - 57 x^{3} + 113 x^{2} - 17 x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 71.2 | ||
Root | \(0.0785122 + 0.0570425i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 770.71 |
Dual form | 770.2.n.g.141.2 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | + | 0.951057i | 0.218508 | + | 0.672499i | ||||
\(3\) | −0.0785122 | − | 0.0570425i | −0.0453290 | − | 0.0329335i | 0.564890 | − | 0.825166i | \(-0.308919\pi\) |
−0.610219 | + | 0.792233i | \(0.708919\pi\) | |||||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | 0.309017 | − | 0.951057i | 0.138197 | − | 0.425325i | ||||
\(6\) | 0.0299890 | − | 0.0922966i | 0.0122430 | − | 0.0376799i | ||||
\(7\) | 0.809017 | − | 0.587785i | 0.305780 | − | 0.222162i | ||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | −0.924141 | − | 2.84421i | −0.308047 | − | 0.948071i | ||||
\(10\) | 1.00000 | 0.316228 | ||||||||
\(11\) | 2.42605 | + | 2.26147i | 0.731483 | + | 0.681860i | ||||
\(12\) | 0.0970464 | 0.0280149 | ||||||||
\(13\) | −1.33695 | − | 4.11471i | −0.370803 | − | 1.14121i | −0.946267 | − | 0.323387i | \(-0.895178\pi\) |
0.575463 | − | 0.817827i | \(-0.304822\pi\) | |||||||
\(14\) | 0.809017 | + | 0.587785i | 0.216219 | + | 0.157092i | ||||
\(15\) | −0.0785122 | + | 0.0570425i | −0.0202718 | + | 0.0147283i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 0.656028 | − | 2.01905i | 0.159110 | − | 0.489690i | −0.839444 | − | 0.543446i | \(-0.817119\pi\) |
0.998554 | + | 0.0537557i | \(0.0171192\pi\) | |||||||
\(18\) | 2.41943 | − | 1.75782i | 0.570266 | − | 0.414322i | ||||
\(19\) | −4.45786 | − | 3.23883i | −1.02270 | − | 0.743038i | −0.0558685 | − | 0.998438i | \(-0.517793\pi\) |
−0.966835 | + | 0.255400i | \(0.917793\pi\) | |||||||
\(20\) | 0.309017 | + | 0.951057i | 0.0690983 | + | 0.212663i | ||||
\(21\) | −0.0970464 | −0.0211773 | ||||||||
\(22\) | −1.40110 | + | 3.00615i | −0.298715 | + | 0.640913i | ||||
\(23\) | 0.922019 | 0.192254 | 0.0961271 | − | 0.995369i | \(-0.469354\pi\) | ||||
0.0961271 | + | 0.995369i | \(0.469354\pi\) | |||||||
\(24\) | 0.0299890 | + | 0.0922966i | 0.00612148 | + | 0.0188400i | ||||
\(25\) | −0.809017 | − | 0.587785i | −0.161803 | − | 0.117557i | ||||
\(26\) | 3.50018 | − | 2.54303i | 0.686442 | − | 0.498729i | ||||
\(27\) | −0.179652 | + | 0.552911i | −0.0345740 | + | 0.106408i | ||||
\(28\) | −0.309017 | + | 0.951057i | −0.0583987 | + | 0.179733i | ||||
\(29\) | 6.49495 | − | 4.71886i | 1.20608 | − | 0.876270i | 0.211213 | − | 0.977440i | \(-0.432259\pi\) |
0.994869 | + | 0.101170i | \(0.0322588\pi\) | |||||||
\(30\) | −0.0785122 | − | 0.0570425i | −0.0143343 | − | 0.0104145i | ||||
\(31\) | 0.375617 | + | 1.15603i | 0.0674629 | + | 0.207629i | 0.979105 | − | 0.203356i | \(-0.0651848\pi\) |
−0.911642 | + | 0.410985i | \(0.865185\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −0.0614749 | − | 0.315941i | −0.0107014 | − | 0.0549983i | ||||
\(34\) | 2.12295 | 0.364083 | ||||||||
\(35\) | −0.309017 | − | 0.951057i | −0.0522334 | − | 0.160758i | ||||
\(36\) | 2.41943 | + | 1.75782i | 0.403239 | + | 0.292970i | ||||
\(37\) | 4.05565 | − | 2.94660i | 0.666745 | − | 0.484418i | −0.202189 | − | 0.979346i | \(-0.564806\pi\) |
0.868934 | + | 0.494928i | \(0.164806\pi\) | |||||||
\(38\) | 1.70275 | − | 5.24053i | 0.276223 | − | 0.850127i | ||||
\(39\) | −0.129746 | + | 0.399318i | −0.0207760 | + | 0.0639420i | ||||
\(40\) | −0.809017 | + | 0.587785i | −0.127917 | + | 0.0929370i | ||||
\(41\) | 1.55984 | + | 1.13329i | 0.243605 | + | 0.176990i | 0.702888 | − | 0.711301i | \(-0.251893\pi\) |
−0.459283 | + | 0.888290i | \(0.651893\pi\) | |||||||
\(42\) | −0.0299890 | − | 0.0922966i | −0.00462740 | − | 0.0142417i | ||||
\(43\) | 3.75423 | 0.572514 | 0.286257 | − | 0.958153i | \(-0.407589\pi\) | ||||
0.286257 | + | 0.958153i | \(0.407589\pi\) | |||||||
\(44\) | −3.29198 | − | 0.403572i | −0.496285 | − | 0.0608407i | ||||
\(45\) | −2.99058 | −0.445810 | ||||||||
\(46\) | 0.284920 | + | 0.876892i | 0.0420091 | + | 0.129291i | ||||
\(47\) | 0.699842 | + | 0.508465i | 0.102082 | + | 0.0741672i | 0.637655 | − | 0.770322i | \(-0.279904\pi\) |
−0.535573 | + | 0.844489i | \(0.679904\pi\) | |||||||
\(48\) | −0.0785122 | + | 0.0570425i | −0.0113323 | + | 0.00823337i | ||||
\(49\) | 0.309017 | − | 0.951057i | 0.0441453 | − | 0.135865i | ||||
\(50\) | 0.309017 | − | 0.951057i | 0.0437016 | − | 0.134500i | ||||
\(51\) | −0.166677 | + | 0.121098i | −0.0233395 | + | 0.0169572i | ||||
\(52\) | 3.50018 | + | 2.54303i | 0.485388 | + | 0.352655i | ||||
\(53\) | −0.225322 | − | 0.693471i | −0.0309504 | − | 0.0952556i | 0.934388 | − | 0.356257i | \(-0.115947\pi\) |
−0.965338 | + | 0.261001i | \(0.915947\pi\) | |||||||
\(54\) | −0.581365 | −0.0791137 | ||||||||
\(55\) | 2.90048 | − | 1.60848i | 0.391101 | − | 0.216888i | ||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | 0.165246 | + | 0.508575i | 0.0218874 | + | 0.0673624i | ||||
\(58\) | 6.49495 | + | 4.71886i | 0.852829 | + | 0.619616i | ||||
\(59\) | 0.144174 | − | 0.104748i | 0.0187698 | − | 0.0136371i | −0.578361 | − | 0.815781i | \(-0.696307\pi\) |
0.597131 | + | 0.802144i | \(0.296307\pi\) | |||||||
\(60\) | 0.0299890 | − | 0.0922966i | 0.00387156 | − | 0.0119154i | ||||
\(61\) | −4.02114 | + | 12.3758i | −0.514854 | + | 1.58456i | 0.268693 | + | 0.963226i | \(0.413408\pi\) |
−0.783547 | + | 0.621332i | \(0.786592\pi\) | |||||||
\(62\) | −0.983379 | + | 0.714467i | −0.124889 | + | 0.0907374i | ||||
\(63\) | −2.41943 | − | 1.75782i | −0.304820 | − | 0.221465i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −4.32646 | −0.536631 | ||||||||
\(66\) | 0.281481 | − | 0.156097i | 0.0346480 | − | 0.0192143i | ||||
\(67\) | −3.55383 | −0.434169 | −0.217085 | − | 0.976153i | \(-0.569655\pi\) | ||||
−0.217085 | + | 0.976153i | \(0.569655\pi\) | |||||||
\(68\) | 0.656028 | + | 2.01905i | 0.0795550 | + | 0.244845i | ||||
\(69\) | −0.0723898 | − | 0.0525942i | −0.00871470 | − | 0.00633160i | ||||
\(70\) | 0.809017 | − | 0.587785i | 0.0966960 | − | 0.0702538i | ||||
\(71\) | 1.84186 | − | 5.66866i | 0.218588 | − | 0.672746i | −0.780291 | − | 0.625417i | \(-0.784929\pi\) |
0.998879 | − | 0.0473292i | \(-0.0150710\pi\) | |||||||
\(72\) | −0.924141 | + | 2.84421i | −0.108911 | + | 0.335194i | ||||
\(73\) | 11.9970 | − | 8.71636i | 1.40415 | − | 1.02017i | 0.410007 | − | 0.912083i | \(-0.365526\pi\) |
0.994141 | − | 0.108090i | \(-0.0344736\pi\) | |||||||
\(74\) | 4.05565 | + | 2.94660i | 0.471460 | + | 0.342535i | ||||
\(75\) | 0.0299890 | + | 0.0922966i | 0.00346283 | + | 0.0106575i | ||||
\(76\) | 5.51022 | 0.632066 | ||||||||
\(77\) | 3.29198 | + | 0.403572i | 0.375156 | + | 0.0459912i | ||||
\(78\) | −0.419868 | −0.0475406 | ||||||||
\(79\) | 4.07812 | + | 12.5512i | 0.458825 | + | 1.41212i | 0.866586 | + | 0.499028i | \(0.166310\pi\) |
−0.407761 | + | 0.913089i | \(0.633690\pi\) | |||||||
\(80\) | −0.809017 | − | 0.587785i | −0.0904508 | − | 0.0657164i | ||||
\(81\) | −7.21265 | + | 5.24030i | −0.801406 | + | 0.582255i | ||||
\(82\) | −0.595804 | + | 1.83370i | −0.0657956 | + | 0.202498i | ||||
\(83\) | 0.812764 | − | 2.50143i | 0.0892125 | − | 0.274568i | −0.896490 | − | 0.443064i | \(-0.853891\pi\) |
0.985702 | + | 0.168497i | \(0.0538913\pi\) | |||||||
\(84\) | 0.0785122 | − | 0.0570425i | 0.00856639 | − | 0.00622384i | ||||
\(85\) | −1.71750 | − | 1.24784i | −0.186289 | − | 0.135347i | ||||
\(86\) | 1.16012 | + | 3.57048i | 0.125099 | + | 0.385015i | ||||
\(87\) | −0.779108 | −0.0835291 | ||||||||
\(88\) | −0.633458 | − | 3.25557i | −0.0675269 | − | 0.347045i | ||||
\(89\) | −18.4678 | −1.95758 | −0.978791 | − | 0.204861i | \(-0.934326\pi\) | ||||
−0.978791 | + | 0.204861i | \(0.934326\pi\) | |||||||
\(90\) | −0.924141 | − | 2.84421i | −0.0974130 | − | 0.299806i | ||||
\(91\) | −3.50018 | − | 2.54303i | −0.366919 | − | 0.266582i | ||||
\(92\) | −0.745929 | + | 0.541949i | −0.0777685 | + | 0.0565021i | ||||
\(93\) | 0.0364523 | − | 0.112189i | 0.00377993 | − | 0.0116334i | ||||
\(94\) | −0.267316 | + | 0.822713i | −0.0275715 | + | 0.0848564i | ||||
\(95\) | −4.45786 | + | 3.23883i | −0.457367 | + | 0.332297i | ||||
\(96\) | −0.0785122 | − | 0.0570425i | −0.00801312 | − | 0.00582187i | ||||
\(97\) | 0.0264461 | + | 0.0813928i | 0.00268520 | + | 0.00826419i | 0.952390 | − | 0.304882i | \(-0.0986170\pi\) |
−0.949705 | + | 0.313146i | \(0.898617\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 4.19010 | − | 8.99013i | 0.421120 | − | 0.903542i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | −2.34087 | − | 7.20447i | −0.232926 | − | 0.716871i | −0.997390 | − | 0.0722051i | \(-0.976996\pi\) |
0.764464 | − | 0.644666i | \(-0.223004\pi\) | |||||||
\(102\) | −0.166677 | − | 0.121098i | −0.0165035 | − | 0.0119905i | ||||
\(103\) | 3.04337 | − | 2.21114i | 0.299872 | − | 0.217870i | −0.427666 | − | 0.903937i | \(-0.640664\pi\) |
0.727539 | + | 0.686067i | \(0.240664\pi\) | |||||||
\(104\) | −1.33695 | + | 4.11471i | −0.131099 | + | 0.403480i | ||||
\(105\) | −0.0299890 | + | 0.0922966i | −0.00292663 | + | 0.00900723i | ||||
\(106\) | 0.589902 | − | 0.428589i | 0.0572963 | − | 0.0416282i | ||||
\(107\) | 10.7733 | + | 7.82724i | 1.04149 | + | 0.756687i | 0.970576 | − | 0.240795i | \(-0.0774081\pi\) |
0.0709149 | + | 0.997482i | \(0.477408\pi\) | |||||||
\(108\) | −0.179652 | − | 0.552911i | −0.0172870 | − | 0.0532038i | ||||
\(109\) | −8.04563 | −0.770631 | −0.385316 | − | 0.922785i | \(-0.625907\pi\) | ||||
−0.385316 | + | 0.922785i | \(0.625907\pi\) | |||||||
\(110\) | 2.42605 | + | 2.26147i | 0.231315 | + | 0.215623i | ||||
\(111\) | −0.486499 | −0.0461765 | ||||||||
\(112\) | −0.309017 | − | 0.951057i | −0.0291994 | − | 0.0898664i | ||||
\(113\) | −7.42267 | − | 5.39289i | −0.698266 | − | 0.507320i | 0.181101 | − | 0.983465i | \(-0.442034\pi\) |
−0.879367 | + | 0.476144i | \(0.842034\pi\) | |||||||
\(114\) | −0.432620 | + | 0.314317i | −0.0405185 | + | 0.0294384i | ||||
\(115\) | 0.284920 | − | 0.876892i | 0.0265689 | − | 0.0817706i | ||||
\(116\) | −2.48085 | + | 7.63527i | −0.230341 | + | 0.708917i | ||||
\(117\) | −10.4676 | + | 7.60514i | −0.967728 | + | 0.703095i | ||||
\(118\) | 0.144174 | + | 0.104748i | 0.0132723 | + | 0.00964286i | ||||
\(119\) | −0.656028 | − | 2.01905i | −0.0601379 | − | 0.185086i | ||||
\(120\) | 0.0970464 | 0.00885909 | ||||||||
\(121\) | 0.771477 | + | 10.9729i | 0.0701343 | + | 0.997538i | ||||
\(122\) | −13.0127 | −1.17811 | ||||||||
\(123\) | −0.0578207 | − | 0.177954i | −0.00521351 | − | 0.0160455i | ||||
\(124\) | −0.983379 | − | 0.714467i | −0.0883101 | − | 0.0641610i | ||||
\(125\) | −0.809017 | + | 0.587785i | −0.0723607 | + | 0.0525731i | ||||
\(126\) | 0.924141 | − | 2.84421i | 0.0823290 | − | 0.253383i | ||||
\(127\) | −2.66745 | + | 8.20956i | −0.236698 | + | 0.728481i | 0.760194 | + | 0.649696i | \(0.225104\pi\) |
−0.996892 | + | 0.0787844i | \(0.974896\pi\) | |||||||
\(128\) | −0.809017 | + | 0.587785i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | −0.294753 | − | 0.214150i | −0.0259515 | − | 0.0188549i | ||||
\(130\) | −1.33695 | − | 4.11471i | −0.117258 | − | 0.360884i | ||||
\(131\) | 5.01748 | 0.438379 | 0.219189 | − | 0.975682i | \(-0.429659\pi\) | ||||
0.219189 | + | 0.975682i | \(0.429659\pi\) | |||||||
\(132\) | 0.235440 | + | 0.219468i | 0.0204924 | + | 0.0191022i | ||||
\(133\) | −5.51022 | −0.477797 | ||||||||
\(134\) | −1.09819 | − | 3.37989i | −0.0948695 | − | 0.291978i | ||||
\(135\) | 0.470334 | + | 0.341718i | 0.0404799 | + | 0.0294104i | ||||
\(136\) | −1.71750 | + | 1.24784i | −0.147275 | + | 0.107001i | ||||
\(137\) | −2.90086 | + | 8.92793i | −0.247837 | + | 0.762765i | 0.747319 | + | 0.664465i | \(0.231340\pi\) |
−0.995157 | + | 0.0983000i | \(0.968660\pi\) | |||||||
\(138\) | 0.0276504 | − | 0.0850993i | 0.00235376 | − | 0.00724413i | ||||
\(139\) | 5.63204 | − | 4.09192i | 0.477704 | − | 0.347072i | −0.322732 | − | 0.946490i | \(-0.604601\pi\) |
0.800436 | + | 0.599418i | \(0.204601\pi\) | |||||||
\(140\) | 0.809017 | + | 0.587785i | 0.0683744 | + | 0.0496769i | ||||
\(141\) | −0.0259420 | − | 0.0798414i | −0.00218471 | − | 0.00672386i | ||||
\(142\) | 5.96038 | 0.500184 | ||||||||
\(143\) | 6.06179 | − | 13.0060i | 0.506912 | − | 1.08761i | ||||
\(144\) | −2.99058 | −0.249215 | ||||||||
\(145\) | −2.48085 | − | 7.63527i | −0.206023 | − | 0.634075i | ||||
\(146\) | 11.9970 | + | 8.71636i | 0.992882 | + | 0.721371i | ||||
\(147\) | −0.0785122 | + | 0.0570425i | −0.00647558 | + | 0.00470478i | ||||
\(148\) | −1.54912 | + | 4.76770i | −0.127337 | + | 0.391903i | ||||
\(149\) | −6.14496 | + | 18.9122i | −0.503414 | + | 1.54935i | 0.300006 | + | 0.953937i | \(0.403011\pi\) |
−0.803420 | + | 0.595413i | \(0.796989\pi\) | |||||||
\(150\) | −0.0785122 | + | 0.0570425i | −0.00641050 | + | 0.00465750i | ||||
\(151\) | 5.59157 | + | 4.06251i | 0.455035 | + | 0.330603i | 0.791581 | − | 0.611065i | \(-0.209258\pi\) |
−0.336545 | + | 0.941667i | \(0.609258\pi\) | |||||||
\(152\) | 1.70275 | + | 5.24053i | 0.138111 | + | 0.425063i | ||||
\(153\) | −6.34886 | −0.513275 | ||||||||
\(154\) | 0.633458 | + | 3.25557i | 0.0510455 | + | 0.262341i | ||||
\(155\) | 1.21552 | 0.0976332 | ||||||||
\(156\) | −0.129746 | − | 0.399318i | −0.0103880 | − | 0.0319710i | ||||
\(157\) | −7.28217 | − | 5.29081i | −0.581180 | − | 0.422252i | 0.257969 | − | 0.966153i | \(-0.416947\pi\) |
−0.839149 | + | 0.543901i | \(0.816947\pi\) | |||||||
\(158\) | −10.6767 | + | 7.75705i | −0.849390 | + | 0.617118i | ||||
\(159\) | −0.0218667 | + | 0.0672989i | −0.00173414 | + | 0.00533715i | ||||
\(160\) | 0.309017 | − | 0.951057i | 0.0244299 | − | 0.0751876i | ||||
\(161\) | 0.745929 | − | 0.541949i | 0.0587875 | − | 0.0427116i | ||||
\(162\) | −7.21265 | − | 5.24030i | −0.566679 | − | 0.411717i | ||||
\(163\) | −2.18508 | − | 6.72499i | −0.171149 | − | 0.526742i | 0.828288 | − | 0.560303i | \(-0.189315\pi\) |
−0.999437 | + | 0.0335611i | \(0.989315\pi\) | |||||||
\(164\) | −1.92806 | −0.150556 | ||||||||
\(165\) | −0.319475 | − | 0.0391652i | −0.0248711 | − | 0.00304900i | ||||
\(166\) | 2.63016 | 0.204140 | ||||||||
\(167\) | −6.10066 | − | 18.7759i | −0.472083 | − | 1.45292i | −0.849852 | − | 0.527022i | \(-0.823309\pi\) |
0.377769 | − | 0.925900i | \(-0.376691\pi\) | |||||||
\(168\) | 0.0785122 | + | 0.0570425i | 0.00605735 | + | 0.00440092i | ||||
\(169\) | −4.62617 | + | 3.36111i | −0.355859 | + | 0.258547i | ||||
\(170\) | 0.656028 | − | 2.01905i | 0.0503150 | − | 0.154854i | ||||
\(171\) | −5.09222 | + | 15.6722i | −0.389412 | + | 1.19849i | ||||
\(172\) | −3.03723 | + | 2.20668i | −0.231587 | + | 0.168258i | ||||
\(173\) | −11.2568 | − | 8.17854i | −0.855838 | − | 0.621803i | 0.0709117 | − | 0.997483i | \(-0.477409\pi\) |
−0.926749 | + | 0.375680i | \(0.877409\pi\) | |||||||
\(174\) | −0.240758 | − | 0.740976i | −0.0182518 | − | 0.0561732i | ||||
\(175\) | −1.00000 | −0.0755929 | ||||||||
\(176\) | 2.90048 | − | 1.60848i | 0.218632 | − | 0.121244i | ||||
\(177\) | −0.0172945 | −0.00129993 | ||||||||
\(178\) | −5.70686 | − | 17.5639i | −0.427747 | − | 1.31647i | ||||
\(179\) | 2.92061 | + | 2.12194i | 0.218296 | + | 0.158602i | 0.691559 | − | 0.722320i | \(-0.256924\pi\) |
−0.473263 | + | 0.880921i | \(0.656924\pi\) | |||||||
\(180\) | 2.41943 | − | 1.75782i | 0.180334 | − | 0.131020i | ||||
\(181\) | −0.602637 | + | 1.85473i | −0.0447936 | + | 0.137861i | −0.970952 | − | 0.239274i | \(-0.923091\pi\) |
0.926158 | + | 0.377135i | \(0.123091\pi\) | |||||||
\(182\) | 1.33695 | − | 4.11471i | 0.0991013 | − | 0.305002i | ||||
\(183\) | 1.02165 | − | 0.742275i | 0.0755229 | − | 0.0548706i | ||||
\(184\) | −0.745929 | − | 0.541949i | −0.0549906 | − | 0.0399530i | ||||
\(185\) | −1.54912 | − | 4.76770i | −0.113894 | − | 0.350528i | ||||
\(186\) | 0.117962 | 0.00864941 | ||||||||
\(187\) | 6.15758 | − | 3.41472i | 0.450286 | − | 0.249709i | ||||
\(188\) | −0.865052 | −0.0630904 | ||||||||
\(189\) | 0.179652 | + | 0.552911i | 0.0130677 | + | 0.0402183i | ||||
\(190\) | −4.45786 | − | 3.23883i | −0.323407 | − | 0.234969i | ||||
\(191\) | −10.3120 | + | 7.49207i | −0.746147 | + | 0.542107i | −0.894630 | − | 0.446807i | \(-0.852561\pi\) |
0.148483 | + | 0.988915i | \(0.452561\pi\) | |||||||
\(192\) | 0.0299890 | − | 0.0922966i | 0.00216427 | − | 0.00666094i | ||||
\(193\) | −4.50916 | + | 13.8778i | −0.324577 | + | 0.998944i | 0.647055 | + | 0.762444i | \(0.276001\pi\) |
−0.971631 | + | 0.236501i | \(0.923999\pi\) | |||||||
\(194\) | −0.0692369 | + | 0.0503035i | −0.00497092 | + | 0.00361158i | ||||
\(195\) | 0.339680 | + | 0.246792i | 0.0243250 | + | 0.0176731i | ||||
\(196\) | 0.309017 | + | 0.951057i | 0.0220726 | + | 0.0679326i | ||||
\(197\) | 24.4598 | 1.74269 | 0.871346 | − | 0.490669i | \(-0.163248\pi\) | ||||
0.871346 | + | 0.490669i | \(0.163248\pi\) | |||||||
\(198\) | 9.84494 | + | 1.20691i | 0.699649 | + | 0.0857716i | ||||
\(199\) | −10.4998 | −0.744315 | −0.372157 | − | 0.928170i | \(-0.621382\pi\) | ||||
−0.372157 | + | 0.928170i | \(0.621382\pi\) | |||||||
\(200\) | 0.309017 | + | 0.951057i | 0.0218508 | + | 0.0672499i | ||||
\(201\) | 0.279019 | + | 0.202719i | 0.0196805 | + | 0.0142987i | ||||
\(202\) | 6.12849 | − | 4.45261i | 0.431199 | − | 0.313284i | ||||
\(203\) | 2.48085 | − | 7.63527i | 0.174122 | − | 0.535891i | ||||
\(204\) | 0.0636651 | − | 0.195941i | 0.00445745 | − | 0.0137186i | ||||
\(205\) | 1.55984 | − | 1.13329i | 0.108944 | − | 0.0791522i | ||||
\(206\) | 3.04337 | + | 2.21114i | 0.212042 | + | 0.154057i | ||||
\(207\) | −0.852075 | − | 2.62242i | −0.0592233 | − | 0.182271i | ||||
\(208\) | −4.32646 | −0.299986 | ||||||||
\(209\) | −3.49050 | − | 17.9389i | −0.241443 | − | 1.24086i | ||||
\(210\) | −0.0970464 | −0.00669684 | ||||||||
\(211\) | 4.62878 | + | 14.2459i | 0.318658 | + | 0.980729i | 0.974222 | + | 0.225590i | \(0.0724309\pi\) |
−0.655564 | + | 0.755139i | \(0.727569\pi\) | |||||||
\(212\) | 0.589902 | + | 0.428589i | 0.0405146 | + | 0.0294356i | ||||
\(213\) | −0.467963 | + | 0.339995i | −0.0320643 | + | 0.0232961i | ||||
\(214\) | −4.11502 | + | 12.6647i | −0.281297 | + | 0.865743i | ||||
\(215\) | 1.16012 | − | 3.57048i | 0.0791196 | − | 0.243505i | ||||
\(216\) | 0.470334 | − | 0.341718i | 0.0320022 | − | 0.0232509i | ||||
\(217\) | 0.983379 | + | 0.714467i | 0.0667561 | + | 0.0485012i | ||||
\(218\) | −2.48624 | − | 7.65184i | −0.168389 | − | 0.518248i | ||||
\(219\) | −1.43912 | −0.0972465 | ||||||||
\(220\) | −1.40110 | + | 3.00615i | −0.0944619 | + | 0.202674i | ||||
\(221\) | −9.18486 | −0.617840 | ||||||||
\(222\) | −0.150337 | − | 0.462688i | −0.0100899 | − | 0.0310536i | ||||
\(223\) | 5.65217 | + | 4.10654i | 0.378497 | + | 0.274994i | 0.760726 | − | 0.649073i | \(-0.224843\pi\) |
−0.382228 | + | 0.924068i | \(0.624843\pi\) | |||||||
\(224\) | 0.809017 | − | 0.587785i | 0.0540547 | − | 0.0392731i | ||||
\(225\) | −0.924141 | + | 2.84421i | −0.0616094 | + | 0.189614i | ||||
\(226\) | 2.83521 | − | 8.72587i | 0.188595 | − | 0.580436i | ||||
\(227\) | 19.1019 | − | 13.8783i | 1.26784 | − | 0.921136i | 0.268721 | − | 0.963218i | \(-0.413399\pi\) |
0.999114 | + | 0.0420817i | \(0.0133990\pi\) | |||||||
\(228\) | −0.432620 | − | 0.314317i | −0.0286509 | − | 0.0208161i | ||||
\(229\) | 6.50709 | + | 20.0267i | 0.430000 | + | 1.32340i | 0.898124 | + | 0.439742i | \(0.144930\pi\) |
−0.468124 | + | 0.883663i | \(0.655070\pi\) | |||||||
\(230\) | 0.922019 | 0.0607961 | ||||||||
\(231\) | −0.235440 | − | 0.219468i | −0.0154908 | − | 0.0144399i | ||||
\(232\) | −8.02820 | −0.527077 | ||||||||
\(233\) | −9.20687 | − | 28.3358i | −0.603162 | − | 1.85634i | −0.508961 | − | 0.860790i | \(-0.669970\pi\) |
−0.0942014 | − | 0.995553i | \(-0.530030\pi\) | |||||||
\(234\) | −10.4676 | − | 7.60514i | −0.684287 | − | 0.497163i | ||||
\(235\) | 0.699842 | − | 0.508465i | 0.0456526 | − | 0.0331686i | ||||
\(236\) | −0.0550695 | + | 0.169486i | −0.00358472 | + | 0.0110326i | ||||
\(237\) | 0.395767 | − | 1.21805i | 0.0257078 | − | 0.0791206i | ||||
\(238\) | 1.71750 | − | 1.24784i | 0.111329 | − | 0.0808854i | ||||
\(239\) | 14.8927 | + | 10.8202i | 0.963329 | + | 0.699900i | 0.953922 | − | 0.300056i | \(-0.0970054\pi\) |
0.00940767 | + | 0.999956i | \(0.497005\pi\) | |||||||
\(240\) | 0.0299890 | + | 0.0922966i | 0.00193578 | + | 0.00595772i | ||||
\(241\) | −2.15635 | −0.138903 | −0.0694513 | − | 0.997585i | \(-0.522125\pi\) | ||||
−0.0694513 | + | 0.997585i | \(0.522125\pi\) | |||||||
\(242\) | −10.1975 | + | 4.12453i | −0.655518 | + | 0.265135i | ||||
\(243\) | 2.60929 | 0.167386 | ||||||||
\(244\) | −4.02114 | − | 12.3758i | −0.257427 | − | 0.792279i | ||||
\(245\) | −0.809017 | − | 0.587785i | −0.0516862 | − | 0.0375522i | ||||
\(246\) | 0.151376 | − | 0.109981i | 0.00965141 | − | 0.00701216i | ||||
\(247\) | −7.36689 | + | 22.6730i | −0.468744 | + | 1.44265i | ||||
\(248\) | 0.375617 | − | 1.15603i | 0.0238517 | − | 0.0734081i | ||||
\(249\) | −0.206500 | + | 0.150031i | −0.0130864 | + | 0.00950782i | ||||
\(250\) | −0.809017 | − | 0.587785i | −0.0511667 | − | 0.0371748i | ||||
\(251\) | 6.06205 | + | 18.6571i | 0.382633 | + | 1.17762i | 0.938183 | + | 0.346141i | \(0.112508\pi\) |
−0.555549 | + | 0.831484i | \(0.687492\pi\) | |||||||
\(252\) | 2.99058 | 0.188389 | ||||||||
\(253\) | 2.23687 | + | 2.08512i | 0.140631 | + | 0.131090i | ||||
\(254\) | −8.63204 | −0.541622 | ||||||||
\(255\) | 0.0636651 | + | 0.195941i | 0.00398687 | + | 0.0122703i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 4.09365 | − | 2.97421i | 0.255355 | − | 0.185526i | −0.452742 | − | 0.891642i | \(-0.649554\pi\) |
0.708097 | + | 0.706115i | \(0.249554\pi\) | |||||||
\(258\) | 0.112586 | − | 0.346503i | 0.00700927 | − | 0.0215723i | ||||
\(259\) | 1.54912 | − | 4.76770i | 0.0962576 | − | 0.296251i | ||||
\(260\) | 3.50018 | − | 2.54303i | 0.217072 | − | 0.157712i | ||||
\(261\) | −19.4237 | − | 14.1121i | −1.20230 | − | 0.873519i | ||||
\(262\) | 1.55049 | + | 4.77190i | 0.0957893 | + | 0.294809i | ||||
\(263\) | −16.0394 | −0.989031 | −0.494516 | − | 0.869169i | \(-0.664655\pi\) | ||||
−0.494516 | + | 0.869169i | \(0.664655\pi\) | |||||||
\(264\) | −0.135971 | + | 0.291736i | −0.00836847 | + | 0.0179551i | ||||
\(265\) | −0.729158 | −0.0447918 | ||||||||
\(266\) | −1.70275 | − | 5.24053i | −0.104402 | − | 0.321318i | ||||
\(267\) | 1.44995 | + | 1.05345i | 0.0887353 | + | 0.0644700i | ||||
\(268\) | 2.87511 | − | 2.08889i | 0.175625 | − | 0.127599i | ||||
\(269\) | 2.30324 | − | 7.08864i | 0.140431 | − | 0.432202i | −0.855964 | − | 0.517035i | \(-0.827036\pi\) |
0.996395 | + | 0.0848329i | \(0.0270356\pi\) | |||||||
\(270\) | −0.179652 | + | 0.552911i | −0.0109332 | + | 0.0336491i | ||||
\(271\) | −15.6382 | + | 11.3618i | −0.949950 | + | 0.690179i | −0.950795 | − | 0.309820i | \(-0.899731\pi\) |
0.000844724 | 1.00000i | \(0.499731\pi\) | ||||||||
\(272\) | −1.71750 | − | 1.24784i | −0.104139 | − | 0.0756613i | ||||
\(273\) | 0.129746 | + | 0.399318i | 0.00785260 | + | 0.0241678i | ||||
\(274\) | −9.38739 | −0.567113 | ||||||||
\(275\) | −0.633458 | − | 3.25557i | −0.0381990 | − | 0.196318i | ||||
\(276\) | 0.0894787 | 0.00538598 | ||||||||
\(277\) | 6.78488 | + | 20.8817i | 0.407664 | + | 1.25466i | 0.918650 | + | 0.395071i | \(0.129280\pi\) |
−0.510987 | + | 0.859589i | \(0.670720\pi\) | |||||||
\(278\) | 5.63204 | + | 4.09192i | 0.337788 | + | 0.245417i | ||||
\(279\) | 2.94088 | − | 2.13667i | 0.176066 | − | 0.127919i | ||||
\(280\) | −0.309017 | + | 0.951057i | −0.0184673 | + | 0.0568365i | ||||
\(281\) | 0.0532009 | − | 0.163736i | 0.00317370 | − | 0.00976764i | −0.949457 | − | 0.313897i | \(-0.898365\pi\) |
0.952631 | + | 0.304129i | \(0.0983654\pi\) | |||||||
\(282\) | 0.0679171 | − | 0.0493447i | 0.00404441 | − | 0.00293843i | ||||
\(283\) | 11.8108 | + | 8.58105i | 0.702079 | + | 0.510090i | 0.880609 | − | 0.473844i | \(-0.157134\pi\) |
−0.178530 | + | 0.983935i | \(0.557134\pi\) | |||||||
\(284\) | 1.84186 | + | 5.66866i | 0.109294 | + | 0.336373i | ||||
\(285\) | 0.534747 | 0.0316757 | ||||||||
\(286\) | 14.2426 | + | 1.74604i | 0.842184 | + | 0.103245i | ||||
\(287\) | 1.92806 | 0.113810 | ||||||||
\(288\) | −0.924141 | − | 2.84421i | −0.0544555 | − | 0.167597i | ||||
\(289\) | 10.1071 | + | 7.34325i | 0.594536 | + | 0.431956i | ||||
\(290\) | 6.49495 | − | 4.71886i | 0.381397 | − | 0.277101i | ||||
\(291\) | 0.00256650 | − | 0.00789889i | 0.000150451 | − | 0.000463041i | ||||
\(292\) | −4.58246 | + | 14.1034i | −0.268168 | + | 0.825337i | ||||
\(293\) | 4.04097 | − | 2.93593i | 0.236076 | − | 0.171519i | −0.463457 | − | 0.886119i | \(-0.653391\pi\) |
0.699533 | + | 0.714600i | \(0.253391\pi\) | |||||||
\(294\) | −0.0785122 | − | 0.0570425i | −0.00457893 | − | 0.00332678i | ||||
\(295\) | −0.0550695 | − | 0.169486i | −0.00320627 | − | 0.00986788i | ||||
\(296\) | −5.01306 | −0.291378 | ||||||||
\(297\) | −1.68624 | + | 0.935114i | −0.0978454 | + | 0.0542608i | ||||
\(298\) | −19.8855 | −1.15194 | ||||||||
\(299\) | −1.23269 | − | 3.79384i | −0.0712885 | − | 0.219403i | ||||
\(300\) | −0.0785122 | − | 0.0570425i | −0.00453290 | − | 0.00329335i | ||||
\(301\) | 3.03723 | − | 2.20668i | 0.175063 | − | 0.127191i | ||||
\(302\) | −2.13579 | + | 6.57328i | −0.122901 | + | 0.378250i | ||||
\(303\) | −0.227173 | + | 0.699168i | −0.0130508 | + | 0.0401661i | ||||
\(304\) | −4.45786 | + | 3.23883i | −0.255676 | + | 0.185759i | ||||
\(305\) | 10.5275 | + | 7.64866i | 0.602802 | + | 0.437961i | ||||
\(306\) | −1.96190 | − | 6.03812i | −0.112155 | − | 0.345176i | ||||
\(307\) | 12.1296 | 0.692270 | 0.346135 | − | 0.938185i | \(-0.387494\pi\) | ||||
0.346135 | + | 0.938185i | \(0.387494\pi\) | |||||||
\(308\) | −2.90048 | + | 1.60848i | −0.165270 | + | 0.0916517i | ||||
\(309\) | −0.365071 | −0.0207681 | ||||||||
\(310\) | 0.375617 | + | 1.15603i | 0.0213336 | + | 0.0656582i | ||||
\(311\) | 4.68442 | + | 3.40343i | 0.265629 | + | 0.192991i | 0.712625 | − | 0.701545i | \(-0.247506\pi\) |
−0.446996 | + | 0.894536i | \(0.647506\pi\) | |||||||
\(312\) | 0.339680 | − | 0.246792i | 0.0192306 | − | 0.0139718i | ||||
\(313\) | −2.53843 | + | 7.81249i | −0.143481 | + | 0.441588i | −0.996812 | − | 0.0797801i | \(-0.974578\pi\) |
0.853332 | + | 0.521368i | \(0.174578\pi\) | |||||||
\(314\) | 2.78154 | − | 8.56070i | 0.156971 | − | 0.483108i | ||||
\(315\) | −2.41943 | + | 1.75782i | −0.136320 | + | 0.0990419i | ||||
\(316\) | −10.6767 | − | 7.75705i | −0.600609 | − | 0.436368i | ||||
\(317\) | −3.04466 | − | 9.37049i | −0.171005 | − | 0.526299i | 0.828424 | − | 0.560102i | \(-0.189238\pi\) |
−0.999429 | + | 0.0338030i | \(0.989238\pi\) | |||||||
\(318\) | −0.0707622 | −0.00396815 | ||||||||
\(319\) | 26.4287 | + | 3.23995i | 1.47972 | + | 0.181402i | ||||
\(320\) | 1.00000 | 0.0559017 | ||||||||
\(321\) | −0.399348 | − | 1.22907i | −0.0222894 | − | 0.0685998i | ||||
\(322\) | 0.745929 | + | 0.541949i | 0.0415690 | + | 0.0302017i | ||||
\(323\) | −9.46382 | + | 6.87587i | −0.526581 | + | 0.382583i | ||||
\(324\) | 2.75499 | − | 8.47898i | 0.153055 | − | 0.471054i | ||||
\(325\) | −1.33695 | + | 4.11471i | −0.0741606 | + | 0.228243i | ||||
\(326\) | 5.72062 | − | 4.15627i | 0.316836 | − | 0.230195i | ||||
\(327\) | 0.631680 | + | 0.458942i | 0.0349320 | + | 0.0253796i | ||||
\(328\) | −0.595804 | − | 1.83370i | −0.0328978 | − | 0.101249i | ||||
\(329\) | 0.865052 | 0.0476919 | ||||||||
\(330\) | −0.0614749 | − | 0.315941i | −0.00338408 | − | 0.0173920i | ||||
\(331\) | −5.71671 | −0.314219 | −0.157109 | − | 0.987581i | \(-0.550218\pi\) | ||||
−0.157109 | + | 0.987581i | \(0.550218\pi\) | |||||||
\(332\) | 0.812764 | + | 2.50143i | 0.0446062 | + | 0.137284i | ||||
\(333\) | −12.1287 | − | 8.81205i | −0.664651 | − | 0.482898i | ||||
\(334\) | 15.9717 | − | 11.6041i | 0.873934 | − | 0.634950i | ||||
\(335\) | −1.09819 | + | 3.37989i | −0.0600007 | + | 0.184663i | ||||
\(336\) | −0.0299890 | + | 0.0922966i | −0.00163603 | + | 0.00503519i | ||||
\(337\) | 23.5720 | − | 17.1261i | 1.28405 | − | 0.932915i | 0.284381 | − | 0.958711i | \(-0.408212\pi\) |
0.999667 | + | 0.0257961i | \(0.00821205\pi\) | |||||||
\(338\) | −4.62617 | − | 3.36111i | −0.251631 | − | 0.182820i | ||||
\(339\) | 0.275147 | + | 0.846815i | 0.0149439 | + | 0.0459927i | ||||
\(340\) | 2.12295 | 0.115133 | ||||||||
\(341\) | −1.70307 | + | 3.65404i | −0.0922262 | + | 0.197878i | ||||
\(342\) | −16.4788 | −0.891070 | ||||||||
\(343\) | −0.309017 | − | 0.951057i | −0.0166853 | − | 0.0513522i | ||||
\(344\) | −3.03723 | − | 2.20668i | −0.163757 | − | 0.118976i | ||||
\(345\) | −0.0723898 | + | 0.0525942i | −0.00389733 | + | 0.00283158i | ||||
\(346\) | 4.29971 | − | 13.2331i | 0.231154 | − | 0.711418i | ||||
\(347\) | 2.94101 | − | 9.05149i | 0.157882 | − | 0.485909i | −0.840560 | − | 0.541719i | \(-0.817774\pi\) |
0.998441 | + | 0.0558091i | \(0.0177738\pi\) | |||||||
\(348\) | 0.630312 | − | 0.457948i | 0.0337882 | − | 0.0245486i | ||||
\(349\) | 6.67043 | + | 4.84635i | 0.357060 | + | 0.259419i | 0.751825 | − | 0.659363i | \(-0.229174\pi\) |
−0.394765 | + | 0.918782i | \(0.629174\pi\) | |||||||
\(350\) | −0.309017 | − | 0.951057i | −0.0165177 | − | 0.0508361i | ||||
\(351\) | 2.51525 | 0.134254 | ||||||||
\(352\) | 2.42605 | + | 2.26147i | 0.129309 | + | 0.120537i | ||||
\(353\) | 29.6347 | 1.57730 | 0.788649 | − | 0.614843i | \(-0.210781\pi\) | ||||
0.788649 | + | 0.614843i | \(0.210781\pi\) | |||||||
\(354\) | −0.00534429 | − | 0.0164480i | −0.000284046 | − | 0.000874204i | ||||
\(355\) | −4.82205 | − | 3.50342i | −0.255928 | − | 0.185942i | ||||
\(356\) | 14.9408 | − | 10.8551i | 0.791859 | − | 0.575319i | ||||
\(357\) | −0.0636651 | + | 0.195941i | −0.00336952 | + | 0.0103703i | ||||
\(358\) | −1.11557 | + | 3.43338i | −0.0589598 | + | 0.181460i | ||||
\(359\) | 20.0471 | − | 14.5651i | 1.05804 | − | 0.768714i | 0.0843187 | − | 0.996439i | \(-0.473129\pi\) |
0.973726 | + | 0.227725i | \(0.0731286\pi\) | |||||||
\(360\) | 2.41943 | + | 1.75782i | 0.127515 | + | 0.0926452i | ||||
\(361\) | 3.51122 | + | 10.8064i | 0.184801 | + | 0.568759i | ||||
\(362\) | −1.95017 | −0.102499 | ||||||||
\(363\) | 0.565352 | − | 0.905515i | 0.0296733 | − | 0.0475272i | ||||
\(364\) | 4.32646 | 0.226768 | ||||||||
\(365\) | −4.58246 | − | 14.1034i | −0.239857 | − | 0.738204i | ||||
\(366\) | 1.02165 | + | 0.742275i | 0.0534027 | + | 0.0387994i | ||||
\(367\) | −10.4050 | + | 7.55966i | −0.543135 | + | 0.394611i | −0.825248 | − | 0.564770i | \(-0.808965\pi\) |
0.282113 | + | 0.959381i | \(0.408965\pi\) | |||||||
\(368\) | 0.284920 | − | 0.876892i | 0.0148525 | − | 0.0457112i | ||||
\(369\) | 1.78180 | − | 5.48382i | 0.0927569 | − | 0.285476i | ||||
\(370\) | 4.05565 | − | 2.94660i | 0.210843 | − | 0.153187i | ||||
\(371\) | −0.589902 | − | 0.428589i | −0.0306262 | − | 0.0222512i | ||||
\(372\) | 0.0364523 | + | 0.112189i | 0.00188997 | + | 0.00581672i | ||||
\(373\) | 22.7708 | 1.17903 | 0.589514 | − | 0.807758i | \(-0.299319\pi\) | ||||
0.589514 | + | 0.807758i | \(0.299319\pi\) | |||||||
\(374\) | 5.15039 | + | 4.80099i | 0.266320 | + | 0.248253i | ||||
\(375\) | 0.0970464 | 0.00501146 | ||||||||
\(376\) | −0.267316 | − | 0.822713i | −0.0137858 | − | 0.0424282i | ||||
\(377\) | −28.1001 | − | 20.4159i | −1.44723 | − | 1.05147i | ||||
\(378\) | −0.470334 | + | 0.341718i | −0.0241914 | + | 0.0175761i | ||||
\(379\) | 3.42120 | − | 10.5294i | 0.175735 | − | 0.540857i | −0.823931 | − | 0.566690i | \(-0.808224\pi\) |
0.999666 | + | 0.0258326i | \(0.00822369\pi\) | |||||||
\(380\) | 1.70275 | − | 5.24053i | 0.0873493 | − | 0.268834i | ||||
\(381\) | 0.677721 | − | 0.492393i | 0.0347207 | − | 0.0252261i | ||||
\(382\) | −10.3120 | − | 7.49207i | −0.527606 | − | 0.383328i | ||||
\(383\) | 8.86798 | + | 27.2928i | 0.453133 | + | 1.39460i | 0.873314 | + | 0.487158i | \(0.161967\pi\) |
−0.420181 | + | 0.907440i | \(0.638033\pi\) | |||||||
\(384\) | 0.0970464 | 0.00495238 | ||||||||
\(385\) | 1.40110 | − | 3.00615i | 0.0714065 | − | 0.153208i | ||||
\(386\) | −14.5920 | −0.742711 | ||||||||
\(387\) | −3.46944 | − | 10.6778i | −0.176361 | − | 0.542784i | ||||
\(388\) | −0.0692369 | − | 0.0503035i | −0.00351497 | − | 0.00255378i | ||||
\(389\) | −1.36228 | + | 0.989751i | −0.0690701 | + | 0.0501824i | −0.621785 | − | 0.783188i | \(-0.713592\pi\) |
0.552714 | + | 0.833371i | \(0.313592\pi\) | |||||||
\(390\) | −0.129746 | + | 0.399318i | −0.00656996 | + | 0.0202202i | ||||
\(391\) | 0.604870 | − | 1.86160i | 0.0305896 | − | 0.0941451i | ||||
\(392\) | −0.809017 | + | 0.587785i | −0.0408615 | + | 0.0296876i | ||||
\(393\) | −0.393933 | − | 0.286209i | −0.0198713 | − | 0.0144373i | ||||
\(394\) | 7.55851 | + | 23.2627i | 0.380792 | + | 1.17196i | ||||
\(395\) | 13.1971 | 0.664017 | ||||||||
\(396\) | 1.89441 | + | 9.73605i | 0.0951976 | + | 0.489255i | ||||
\(397\) | 16.9399 | 0.850189 | 0.425095 | − | 0.905149i | \(-0.360241\pi\) | ||||
0.425095 | + | 0.905149i | \(0.360241\pi\) | |||||||
\(398\) | −3.24463 | − | 9.98595i | −0.162639 | − | 0.500550i | ||||
\(399\) | 0.432620 | + | 0.314317i | 0.0216581 | + | 0.0157355i | ||||
\(400\) | −0.809017 | + | 0.587785i | −0.0404508 | + | 0.0293893i | ||||
\(401\) | −4.64036 | + | 14.2816i | −0.231728 | + | 0.713187i | 0.765810 | + | 0.643067i | \(0.222338\pi\) |
−0.997539 | + | 0.0701200i | \(0.977662\pi\) | |||||||
\(402\) | −0.106576 | + | 0.328007i | −0.00531552 | + | 0.0163595i | ||||
\(403\) | 4.25455 | − | 3.09111i | 0.211934 | − | 0.153979i | ||||
\(404\) | 6.12849 | + | 4.45261i | 0.304904 | + | 0.221525i | ||||
\(405\) | 2.75499 | + | 8.47898i | 0.136896 | + | 0.421324i | ||||
\(406\) | 8.02820 | 0.398433 | ||||||||
\(407\) | 16.5029 | + | 2.02313i | 0.818018 | + | 0.100283i | ||||
\(408\) | 0.206025 | 0.0101997 | ||||||||
\(409\) | 10.4183 | + | 32.0642i | 0.515152 | + | 1.58547i | 0.783005 | + | 0.622015i | \(0.213686\pi\) |
−0.267853 | + | 0.963460i | \(0.586314\pi\) | |||||||
\(410\) | 1.55984 | + | 1.13329i | 0.0770348 | + | 0.0559690i | ||||
\(411\) | 0.737024 | − | 0.535480i | 0.0363547 | − | 0.0264133i | ||||
\(412\) | −1.16246 | + | 3.57770i | −0.0572705 | + | 0.176260i | ||||
\(413\) | 0.0550695 | − | 0.169486i | 0.00270979 | − | 0.00833988i | ||||
\(414\) | 2.23076 | − | 1.62074i | 0.109636 | − | 0.0796552i | ||||
\(415\) | −2.12784 | − | 1.54597i | −0.104452 | − | 0.0758887i | ||||
\(416\) | −1.33695 | − | 4.11471i | −0.0655494 | − | 0.201740i | ||||
\(417\) | −0.675598 | −0.0330842 | ||||||||
\(418\) | 15.9823 | − | 8.86309i | 0.781719 | − | 0.433508i | ||||
\(419\) | −17.7859 | −0.868900 | −0.434450 | − | 0.900696i | \(-0.643057\pi\) | ||||
−0.434450 | + | 0.900696i | \(0.643057\pi\) | |||||||
\(420\) | −0.0299890 | − | 0.0922966i | −0.00146331 | − | 0.00450362i | ||||
\(421\) | −14.7673 | − | 10.7291i | −0.719717 | − | 0.522905i | 0.166577 | − | 0.986028i | \(-0.446729\pi\) |
−0.886294 | + | 0.463124i | \(0.846729\pi\) | |||||||
\(422\) | −12.1183 | + | 8.80446i | −0.589909 | + | 0.428594i | ||||
\(423\) | 0.799430 | − | 2.46039i | 0.0388696 | − | 0.119628i | ||||
\(424\) | −0.225322 | + | 0.693471i | −0.0109426 | + | 0.0336779i | ||||
\(425\) | −1.71750 | + | 1.24784i | −0.0833111 | + | 0.0605291i | ||||
\(426\) | −0.467963 | − | 0.339995i | −0.0226729 | − | 0.0164728i | ||||
\(427\) | 4.02114 | + | 12.3758i | 0.194597 | + | 0.598907i | ||||
\(428\) | −13.3165 | −0.643677 | ||||||||
\(429\) | −1.21782 | + | 0.675349i | −0.0587968 | + | 0.0326062i | ||||
\(430\) | 3.75423 | 0.181045 | ||||||||
\(431\) | 8.51488 | + | 26.2061i | 0.410147 | + | 1.26230i | 0.916520 | + | 0.399989i | \(0.130986\pi\) |
−0.506372 | + | 0.862315i | \(0.669014\pi\) | |||||||
\(432\) | 0.470334 | + | 0.341718i | 0.0226289 | + | 0.0164409i | ||||
\(433\) | 2.57324 | − | 1.86957i | 0.123662 | − | 0.0898456i | −0.524235 | − | 0.851574i | \(-0.675649\pi\) |
0.647897 | + | 0.761728i | \(0.275649\pi\) | |||||||
\(434\) | −0.375617 | + | 1.15603i | −0.0180302 | + | 0.0554913i | ||||
\(435\) | −0.240758 | + | 0.740976i | −0.0115434 | + | 0.0355271i | ||||
\(436\) | 6.50905 | − | 4.72910i | 0.311727 | − | 0.226483i | ||||
\(437\) | −4.11023 | − | 2.98626i | −0.196619 | − | 0.142852i | ||||
\(438\) | −0.444712 | − | 1.36868i | −0.0212491 | − | 0.0653981i | ||||
\(439\) | 39.0123 | 1.86196 | 0.930978 | − | 0.365076i | \(-0.118957\pi\) | ||||
0.930978 | + | 0.365076i | \(0.118957\pi\) | |||||||
\(440\) | −3.29198 | − | 0.403572i | −0.156939 | − | 0.0192395i | ||||
\(441\) | −2.99058 | −0.142409 | ||||||||
\(442\) | −2.83828 | − | 8.73532i | −0.135003 | − | 0.415497i | ||||
\(443\) | −4.05113 | − | 2.94332i | −0.192475 | − | 0.139841i | 0.487374 | − | 0.873193i | \(-0.337955\pi\) |
−0.679849 | + | 0.733352i | \(0.737955\pi\) | |||||||
\(444\) | 0.393586 | − | 0.285957i | 0.0186788 | − | 0.0135709i | ||||
\(445\) | −5.70686 | + | 17.5639i | −0.270531 | + | 0.832609i | ||||
\(446\) | −2.15894 | + | 6.64453i | −0.102229 | + | 0.314627i | ||||
\(447\) | 1.56125 | − | 1.13432i | 0.0738448 | − | 0.0536514i | ||||
\(448\) | 0.809017 | + | 0.587785i | 0.0382225 | + | 0.0277702i | ||||
\(449\) | 3.88651 | + | 11.9614i | 0.183416 | + | 0.564496i | 0.999917 | − | 0.0128474i | \(-0.00408955\pi\) |
−0.816502 | + | 0.577343i | \(0.804090\pi\) | |||||||
\(450\) | −2.99058 | −0.140977 | ||||||||
\(451\) | 1.22135 | + | 6.27694i | 0.0575110 | + | 0.295570i | ||||
\(452\) | 9.17493 | 0.431552 | ||||||||
\(453\) | −0.207271 | − | 0.637914i | −0.00973843 | − | 0.0299718i | ||||
\(454\) | 19.1019 | + | 13.8783i | 0.896495 | + | 0.651342i | ||||
\(455\) | −3.50018 | + | 2.54303i | −0.164091 | + | 0.119219i | ||||
\(456\) | 0.165246 | − | 0.508575i | 0.00773835 | − | 0.0238162i | ||||
\(457\) | −11.1725 | + | 34.3853i | −0.522626 | + | 1.60848i | 0.246337 | + | 0.969184i | \(0.420773\pi\) |
−0.768963 | + | 0.639294i | \(0.779227\pi\) | |||||||
\(458\) | −17.0358 | + | 12.3772i | −0.796029 | + | 0.578349i | ||||
\(459\) | 0.998495 | + | 0.725449i | 0.0466058 | + | 0.0338611i | ||||
\(460\) | 0.284920 | + | 0.876892i | 0.0132844 | + | 0.0408853i | ||||
\(461\) | 26.0248 | 1.21209 | 0.606047 | − | 0.795429i | \(-0.292754\pi\) | ||||
0.606047 | + | 0.795429i | \(0.292754\pi\) | |||||||
\(462\) | 0.135971 | − | 0.291736i | 0.00632597 | − | 0.0135728i | ||||
\(463\) | 2.55526 | 0.118753 | 0.0593766 | − | 0.998236i | \(-0.481089\pi\) | ||||
0.0593766 | + | 0.998236i | \(0.481089\pi\) | |||||||
\(464\) | −2.48085 | − | 7.63527i | −0.115171 | − | 0.354459i | ||||
\(465\) | −0.0954334 | − | 0.0693365i | −0.00442562 | − | 0.00321540i | ||||
\(466\) | 24.1039 | − | 17.5125i | 1.11659 | − | 0.811252i | ||||
\(467\) | 4.45530 | − | 13.7120i | 0.206167 | − | 0.634516i | −0.793497 | − | 0.608574i | \(-0.791742\pi\) |
0.999663 | − | 0.0259412i | \(-0.00825828\pi\) | |||||||
\(468\) | 3.99826 | − | 12.3054i | 0.184820 | − | 0.568816i | ||||
\(469\) | −2.87511 | + | 2.08889i | −0.132760 | + | 0.0964559i | ||||
\(470\) | 0.699842 | + | 0.508465i | 0.0322813 | + | 0.0234537i | ||||
\(471\) | 0.269939 | + | 0.830786i | 0.0124381 | + | 0.0382806i | ||||
\(472\) | −0.178208 | −0.00820271 | ||||||||
\(473\) | 9.10796 | + | 8.49009i | 0.418785 | + | 0.390375i | ||||
\(474\) | 1.28073 | 0.0588259 | ||||||||
\(475\) | 1.70275 | + | 5.24053i | 0.0781276 | + | 0.240452i | ||||
\(476\) | 1.71750 | + | 1.24784i | 0.0787216 | + | 0.0571946i | ||||
\(477\) | −1.76415 | + | 1.28173i | −0.0807748 | + | 0.0586864i | ||||
\(478\) | −5.68851 | + | 17.5074i | −0.260186 | + | 0.800771i | ||||
\(479\) | 10.0760 | − | 31.0108i | 0.460384 | − | 1.41692i | −0.404311 | − | 0.914621i | \(-0.632489\pi\) |
0.864696 | − | 0.502296i | \(-0.167511\pi\) | |||||||
\(480\) | −0.0785122 | + | 0.0570425i | −0.00358358 | + | 0.00260362i | ||||
\(481\) | −17.5466 | − | 12.7484i | −0.800056 | − | 0.581275i | ||||
\(482\) | −0.666348 | − | 2.05081i | −0.0303513 | − | 0.0934118i | ||||
\(483\) | −0.0894787 | −0.00407142 | ||||||||
\(484\) | −7.07385 | − | 8.42381i | −0.321539 | − | 0.382900i | ||||
\(485\) | 0.0855815 | 0.00388606 | ||||||||
\(486\) | 0.806316 | + | 2.48159i | 0.0365753 | + | 0.112567i | ||||
\(487\) | −13.6757 | − | 9.93597i | −0.619705 | − | 0.450242i | 0.233114 | − | 0.972450i | \(-0.425109\pi\) |
−0.852818 | + | 0.522208i | \(0.825109\pi\) | |||||||
\(488\) | 10.5275 | − | 7.64866i | 0.476557 | − | 0.346239i | ||||
\(489\) | −0.212054 | + | 0.652636i | −0.00958943 | + | 0.0295132i | ||||
\(490\) | 0.309017 | − | 0.951057i | 0.0139600 | − | 0.0429644i | ||||
\(491\) | 31.3627 | − | 22.7863i | 1.41538 | − | 1.02833i | 0.422865 | − | 0.906193i | \(-0.361024\pi\) |
0.992513 | − | 0.122140i | \(-0.0389756\pi\) | |||||||
\(492\) | 0.151376 | + | 0.109981i | 0.00682458 | + | 0.00495835i | ||||
\(493\) | −5.26672 | − | 16.2093i | −0.237201 | − | 0.730030i | ||||
\(494\) | −23.8398 | −1.07260 | ||||||||
\(495\) | −7.25531 | − | 6.76312i | −0.326102 | − | 0.303980i | ||||
\(496\) | 1.21552 | 0.0545786 | ||||||||
\(497\) | −1.84186 | − | 5.66866i | −0.0826186 | − | 0.254274i | ||||
\(498\) | −0.206500 | − | 0.150031i | −0.00925347 | − | 0.00672304i | ||||
\(499\) | 30.4655 | − | 22.1345i | 1.36382 | − | 0.990877i | 0.365633 | − | 0.930759i | \(-0.380852\pi\) |
0.998191 | − | 0.0601175i | \(-0.0191476\pi\) | |||||||
\(500\) | 0.309017 | − | 0.951057i | 0.0138197 | − | 0.0425325i | ||||
\(501\) | −0.592047 | + | 1.82213i | −0.0264507 | + | 0.0814069i | ||||
\(502\) | −15.8707 | + | 11.5307i | −0.708342 | + | 0.514641i | ||||
\(503\) | −23.0540 | − | 16.7497i | −1.02793 | − | 0.746833i | −0.0600343 | − | 0.998196i | \(-0.519121\pi\) |
−0.967893 | + | 0.251364i | \(0.919121\pi\) | |||||||
\(504\) | 0.924141 | + | 2.84421i | 0.0411645 | + | 0.126691i | ||||
\(505\) | −7.57523 | −0.337093 | ||||||||
\(506\) | −1.29184 | + | 2.77173i | −0.0574292 | + | 0.123218i | ||||
\(507\) | 0.554937 | 0.0246456 | ||||||||
\(508\) | −2.66745 | − | 8.20956i | −0.118349 | − | 0.364240i | ||||
\(509\) | −17.1960 | − | 12.4936i | −0.762199 | − | 0.553770i | 0.137385 | − | 0.990518i | \(-0.456130\pi\) |
−0.899584 | + | 0.436748i | \(0.856130\pi\) | |||||||
\(510\) | −0.166677 | + | 0.121098i | −0.00738060 | + | 0.00536232i | ||||
\(511\) | 4.58246 | − | 14.1034i | 0.202716 | − | 0.623896i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 2.59164 | − | 1.88294i | 0.114424 | − | 0.0831338i | ||||
\(514\) | 4.09365 | + | 2.97421i | 0.180563 | + | 0.131187i | ||||
\(515\) | −1.16246 | − | 3.57770i | −0.0512243 | − | 0.157652i | ||||
\(516\) | 0.364335 | 0.0160389 | ||||||||
\(517\) | 0.547974 | + | 2.81624i | 0.0240999 | + | 0.123858i | ||||
\(518\) | 5.01306 | 0.220261 | ||||||||
\(519\) | 0.417272 | + | 1.28423i | 0.0183162 | + | 0.0563714i | ||||
\(520\) | 3.50018 | + | 2.54303i | 0.153493 | + | 0.111519i | ||||
\(521\) | −7.66833 | + | 5.57137i | −0.335956 | + | 0.244086i | −0.742954 | − | 0.669343i | \(-0.766576\pi\) |
0.406998 | + | 0.913429i | \(0.366576\pi\) | |||||||
\(522\) | 7.41918 | − | 22.8339i | 0.324729 | − | 0.999413i | ||||
\(523\) | −6.58270 | + | 20.2595i | −0.287842 | + | 0.885885i | 0.697691 | + | 0.716399i | \(0.254211\pi\) |
−0.985533 | + | 0.169486i | \(0.945789\pi\) | |||||||
\(524\) | −4.05922 | + | 2.94920i | −0.177328 | + | 0.128836i | ||||
\(525\) | 0.0785122 | + | 0.0570425i | 0.00342655 | + | 0.00248954i | ||||
\(526\) | −4.95645 | − | 15.2544i | −0.216111 | − | 0.665122i | ||||
\(527\) | 2.58050 | 0.112408 | ||||||||
\(528\) | −0.319475 | − | 0.0391652i | −0.0139034 | − | 0.00170445i | ||||
\(529\) | −22.1499 | −0.963038 | ||||||||
\(530\) | −0.225322 | − | 0.693471i | −0.00978738 | − | 0.0301225i | ||||
\(531\) | −0.431163 | − | 0.313258i | −0.0187109 | − | 0.0135943i | ||||
\(532\) | 4.45786 | − | 3.23883i | 0.193273 | − | 0.140421i | ||||
\(533\) | 2.57772 | − | 7.93342i | 0.111654 | − | 0.343634i | ||||
\(534\) | −0.553831 | + | 1.70452i | −0.0239666 | + | 0.0737616i | ||||
\(535\) | 10.7733 | − | 7.82724i | 0.465769 | − | 0.338401i | ||||
\(536\) | 2.87511 | + | 2.08889i | 0.124186 | + | 0.0902263i | ||||
\(537\) | −0.108262 | − | 0.333197i | −0.00467186 | − | 0.0143785i | ||||
\(538\) | 7.45344 | 0.321341 | ||||||||
\(539\) | 2.90048 | − | 1.60848i | 0.124933 | − | 0.0692822i | ||||
\(540\) | −0.581365 | −0.0250180 | ||||||||
\(541\) | −13.3583 | − | 41.1127i | −0.574319 | − | 1.76757i | −0.638487 | − | 0.769632i | \(-0.720440\pi\) |
0.0641686 | − | 0.997939i | \(-0.479560\pi\) | |||||||
\(542\) | −15.6382 | − | 11.3618i | −0.671716 | − | 0.488031i | ||||
\(543\) | 0.153112 | − | 0.111243i | 0.00657069 | − | 0.00477388i | ||||
\(544\) | 0.656028 | − | 2.01905i | 0.0281269 | − | 0.0865658i | ||||
\(545\) | −2.48624 | + | 7.65184i | −0.106499 | + | 0.327769i | ||||
\(546\) | −0.339680 | + | 0.246792i | −0.0145370 | + | 0.0105617i | ||||
\(547\) | 17.9467 | + | 13.0390i | 0.767345 | + | 0.557509i | 0.901154 | − | 0.433498i | \(-0.142721\pi\) |
−0.133809 | + | 0.991007i | \(0.542721\pi\) | |||||||
\(548\) | −2.90086 | − | 8.92793i | −0.123919 | − | 0.381382i | ||||
\(549\) | 38.9155 | 1.66087 | ||||||||
\(550\) | 2.90048 | − | 1.60848i | 0.123677 | − | 0.0685859i | ||||
\(551\) | −44.2372 | −1.88457 | ||||||||
\(552\) | 0.0276504 | + | 0.0850993i | 0.00117688 | + | 0.00362207i | ||||
\(553\) | 10.6767 | + | 7.75705i | 0.454018 | + | 0.329863i | ||||
\(554\) | −17.7630 | + | 12.9056i | −0.754679 | + | 0.548307i | ||||
\(555\) | −0.150337 | + | 0.462688i | −0.00638143 | + | 0.0196400i | ||||
\(556\) | −2.15125 | + | 6.62087i | −0.0912333 | + | 0.280787i | ||||
\(557\) | −2.76527 | + | 2.00909i | −0.117168 | + | 0.0851278i | −0.644826 | − | 0.764329i | \(-0.723070\pi\) |
0.527658 | + | 0.849457i | \(0.323070\pi\) | |||||||
\(558\) | 2.94088 | + | 2.13667i | 0.124497 | + | 0.0904525i | ||||
\(559\) | −5.01922 | − | 15.4476i | −0.212290 | − | 0.653362i | ||||
\(560\) | −1.00000 | −0.0422577 | ||||||||
\(561\) | −0.678229 | − | 0.0831457i | −0.0286349 | − | 0.00351041i | ||||
\(562\) | 0.172162 | 0.00726220 | ||||||||
\(563\) | −5.17957 | − | 15.9411i | −0.218293 | − | 0.671837i | −0.998903 | − | 0.0468187i | \(-0.985092\pi\) |
0.780610 | − | 0.625018i | \(-0.214908\pi\) | |||||||
\(564\) | 0.0679171 | + | 0.0493447i | 0.00285983 | + | 0.00207779i | ||||
\(565\) | −7.42267 | + | 5.39289i | −0.312274 | + | 0.226880i | ||||
\(566\) | −4.51132 | + | 13.8844i | −0.189625 | + | 0.583606i | ||||
\(567\) | −2.75499 | + | 8.47898i | −0.115699 | + | 0.356084i | ||||
\(568\) | −4.82205 | + | 3.50342i | −0.202329 | + | 0.147000i | ||||
\(569\) | −24.8560 | − | 18.0589i | −1.04202 | − | 0.757069i | −0.0713381 | − | 0.997452i | \(-0.522727\pi\) |
−0.970678 | + | 0.240383i | \(0.922727\pi\) | |||||||
\(570\) | 0.165246 | + | 0.508575i | 0.00692139 | + | 0.0213019i | ||||
\(571\) | 26.7892 | 1.12109 | 0.560546 | − | 0.828123i | \(-0.310591\pi\) | ||||
0.560546 | + | 0.828123i | \(0.310591\pi\) | |||||||
\(572\) | 2.74063 | + | 14.0851i | 0.114592 | + | 0.588927i | ||||
\(573\) | 1.23698 | 0.0516756 | ||||||||
\(574\) | 0.595804 | + | 1.83370i | 0.0248684 | + | 0.0765370i | ||||
\(575\) | −0.745929 | − | 0.541949i | −0.0311074 | − | 0.0226008i | ||||
\(576\) | 2.41943 | − | 1.75782i | 0.100810 | − | 0.0732425i | ||||
\(577\) | 2.53070 | − | 7.78868i | 0.105354 | − | 0.324247i | −0.884459 | − | 0.466618i | \(-0.845472\pi\) |
0.989813 | + | 0.142371i | \(0.0454725\pi\) | |||||||
\(578\) | −3.86058 | + | 11.8816i | −0.160579 | + | 0.494211i | ||||
\(579\) | 1.14565 | − | 0.832361i | 0.0476115 | − | 0.0345918i | ||||
\(580\) | 6.49495 | + | 4.71886i | 0.269688 | + | 0.195940i | ||||
\(581\) | −0.812764 | − | 2.50143i | −0.0337191 | − | 0.103777i | ||||
\(582\) | 0.00830538 | 0.000344269 | ||||||||
\(583\) | 1.02162 | − | 2.19196i | 0.0423112 | − | 0.0907816i | ||||
\(584\) | −14.8292 | −0.613635 | ||||||||
\(585\) | 3.99826 | + | 12.3054i | 0.165308 | + | 0.508765i | ||||
\(586\) | 4.04097 | + | 2.93593i | 0.166931 | + | 0.121282i | ||||
\(587\) | 15.6325 | − | 11.3577i | 0.645221 | − | 0.468780i | −0.216419 | − | 0.976301i | \(-0.569438\pi\) |
0.861640 | + | 0.507520i | \(0.169438\pi\) | |||||||
\(588\) | 0.0299890 | − | 0.0922966i | 0.00123673 | − | 0.00380625i | ||||
\(589\) | 2.06974 | − | 6.36999i | 0.0852820 | − | 0.262471i | ||||
\(590\) | 0.144174 | − | 0.104748i | 0.00593554 | − | 0.00431242i | ||||
\(591\) | −1.92040 | − | 1.39525i | −0.0789946 | − | 0.0573929i | ||||
\(592\) | −1.54912 | − | 4.76770i | −0.0636684 | − | 0.195951i | ||||
\(593\) | −46.6962 | −1.91758 | −0.958792 | − | 0.284109i | \(-0.908302\pi\) | ||||
−0.958792 | + | 0.284109i | \(0.908302\pi\) | |||||||
\(594\) | −1.41042 | − | 1.31474i | −0.0578703 | − | 0.0539445i | ||||
\(595\) | −2.12295 | −0.0870325 | ||||||||
\(596\) | −6.14496 | − | 18.9122i | −0.251707 | − | 0.774675i | ||||
\(597\) | 0.824366 | + | 0.598937i | 0.0337391 | + | 0.0245129i | ||||
\(598\) | 3.22723 | − | 2.34472i | 0.131971 | − | 0.0958828i | ||||
\(599\) | −6.20572 | + | 19.0992i | −0.253559 | + | 0.780374i | 0.740551 | + | 0.672000i | \(0.234564\pi\) |
−0.994110 | + | 0.108374i | \(0.965436\pi\) | |||||||
\(600\) | 0.0299890 | − | 0.0922966i | 0.00122430 | − | 0.00376799i | ||||
\(601\) | 15.3799 | − | 11.1741i | 0.627357 | − | 0.455802i | −0.228126 | − | 0.973632i | \(-0.573260\pi\) |
0.855484 | + | 0.517830i | \(0.173260\pi\) | |||||||
\(602\) | 3.03723 | + | 2.20668i | 0.123788 | + | 0.0899376i | ||||
\(603\) | 3.28424 | + | 10.1078i | 0.133745 | + | 0.411623i | ||||
\(604\) | −6.91156 | −0.281227 | ||||||||
\(605\) | 10.6743 | + | 2.65710i | 0.433970 | + | 0.108026i | ||||
\(606\) | −0.735149 | −0.0298634 | ||||||||
\(607\) | 8.48098 | + | 26.1018i | 0.344232 | + | 1.05944i | 0.961994 | + | 0.273072i | \(0.0880398\pi\) |
−0.617761 | + | 0.786366i | \(0.711960\pi\) | |||||||
\(608\) | −4.45786 | − | 3.23883i | −0.180790 | − | 0.131352i | ||||
\(609\) | −0.630312 | + | 0.457948i | −0.0255415 | + | 0.0185570i | ||||
\(610\) | −4.02114 | + | 12.3758i | −0.162811 | + | 0.501081i | ||||
\(611\) | 1.15653 | − | 3.55944i | 0.0467882 | − | 0.143999i | ||||
\(612\) | 5.13633 | − | 3.73176i | 0.207624 | − | 0.150848i | ||||
\(613\) | −7.68626 | − | 5.58440i | −0.310445 | − | 0.225552i | 0.421642 | − | 0.906762i | \(-0.361454\pi\) |
−0.732088 | + | 0.681211i | \(0.761454\pi\) | |||||||
\(614\) | 3.74824 | + | 11.5359i | 0.151267 | + | 0.465551i | ||||
\(615\) | −0.187112 | −0.00754507 | ||||||||
\(616\) | −2.42605 | − | 2.26147i | −0.0977485 | − | 0.0911174i | ||||
\(617\) | 33.6314 | 1.35395 | 0.676974 | − | 0.736007i | \(-0.263291\pi\) | ||||
0.676974 | + | 0.736007i | \(0.263291\pi\) | |||||||
\(618\) | −0.112813 | − | 0.347203i | −0.00453801 | − | 0.0139665i | ||||
\(619\) | −22.0201 | − | 15.9985i | −0.885062 | − | 0.643035i | 0.0495241 | − | 0.998773i | \(-0.484230\pi\) |
−0.934586 | + | 0.355738i | \(0.884230\pi\) | |||||||
\(620\) | −0.983379 | + | 0.714467i | −0.0394935 | + | 0.0286937i | ||||
\(621\) | −0.165642 | + | 0.509794i | −0.00664699 | + | 0.0204573i | ||||
\(622\) | −1.78929 | + | 5.50686i | −0.0717439 | + | 0.220805i | ||||
\(623\) | −14.9408 | + | 10.8551i | −0.598589 | + | 0.434900i | ||||
\(624\) | 0.339680 | + | 0.246792i | 0.0135981 | + | 0.00987959i | ||||
\(625\) | 0.309017 | + | 0.951057i | 0.0123607 | + | 0.0380423i | ||||
\(626\) | −8.21454 | −0.328319 | ||||||||
\(627\) | −0.749233 | + | 1.60753i | −0.0299215 | + | 0.0641986i | ||||
\(628\) | 9.00126 | 0.359189 | ||||||||
\(629\) | −3.28870 | − | 10.1216i | −0.131129 | − | 0.403574i | ||||
\(630\) | −2.41943 | − | 1.75782i | −0.0963925 | − | 0.0700332i | ||||
\(631\) | −22.7953 | + | 16.5618i | −0.907468 | + | 0.659314i | −0.940373 | − | 0.340144i | \(-0.889524\pi\) |
0.0329051 | + | 0.999458i | \(0.489524\pi\) | |||||||
\(632\) | 4.07812 | − | 12.5512i | 0.162219 | − | 0.499259i | ||||
\(633\) | 0.449206 | − | 1.38252i | 0.0178544 | − | 0.0549500i | ||||
\(634\) | 7.97101 | − | 5.79128i | 0.316569 | − | 0.230001i | ||||
\(635\) | 6.98347 | + | 5.07379i | 0.277130 | + | 0.201347i | ||||
\(636\) | −0.0218667 | − | 0.0672989i | −0.000867072 | − | 0.00266857i | ||||
\(637\) | −4.32646 | −0.171421 | ||||||||
\(638\) | 5.08553 | + | 26.1364i | 0.201338 | + | 1.03475i | ||||
\(639\) | −17.8250 | −0.705146 | ||||||||
\(640\) | 0.309017 | + | 0.951057i | 0.0122150 | + | 0.0375938i | ||||
\(641\) | −7.61134 | − | 5.52996i | −0.300630 | − | 0.218420i | 0.427236 | − | 0.904140i | \(-0.359487\pi\) |
−0.727865 | + | 0.685720i | \(0.759487\pi\) | |||||||
\(642\) | 1.04551 | − | 0.759605i | 0.0412629 | − | 0.0299792i | ||||
\(643\) | −12.9478 | + | 39.8492i | −0.510611 | + | 1.57150i | 0.280518 | + | 0.959849i | \(0.409494\pi\) |
−0.791129 | + | 0.611649i | \(0.790506\pi\) | |||||||
\(644\) | −0.284920 | + | 0.876892i | −0.0112274 | + | 0.0345544i | ||||
\(645\) | −0.294753 | + | 0.214150i | −0.0116059 | + | 0.00843217i | ||||
\(646\) | −9.46382 | − | 6.87587i | −0.372349 | − | 0.270527i | ||||
\(647\) | 5.41652 | + | 16.6703i | 0.212945 | + | 0.655378i | 0.999293 | + | 0.0375942i | \(0.0119694\pi\) |
−0.786348 | + | 0.617784i | \(0.788031\pi\) | |||||||
\(648\) | 8.91533 | 0.350227 | ||||||||
\(649\) | 0.586659 | + | 0.0719199i | 0.0230284 | + | 0.00282310i | ||||
\(650\) | −4.32646 | −0.169698 | ||||||||
\(651\) | −0.0364523 | − | 0.112189i | −0.00142868 | − | 0.00439702i | ||||
\(652\) | 5.72062 | + | 4.15627i | 0.224037 | + | 0.162772i | ||||
\(653\) | −38.1953 | + | 27.7505i | −1.49470 | + | 1.08596i | −0.522265 | + | 0.852783i | \(0.674913\pi\) |
−0.972434 | + | 0.233179i | \(0.925087\pi\) | |||||||
\(654\) | −0.241280 | + | 0.742584i | −0.00943480 | + | 0.0290373i | ||||
\(655\) | 1.55049 | − | 4.77190i | 0.0605825 | − | 0.186454i | ||||
\(656\) | 1.55984 | − | 1.13329i | 0.0609013 | − | 0.0442474i | ||||
\(657\) | −35.8781 | − | 26.0670i | −1.39974 | − | 1.01697i | ||||
\(658\) | 0.267316 | + | 0.822713i | 0.0104211 | + | 0.0320727i | ||||
\(659\) | −4.53445 | −0.176637 | −0.0883185 | − | 0.996092i | \(-0.528149\pi\) | ||||
−0.0883185 | + | 0.996092i | \(0.528149\pi\) | |||||||
\(660\) | 0.281481 | − | 0.156097i | 0.0109566 | − | 0.00607608i | ||||
\(661\) | −33.2581 | −1.29359 | −0.646794 | − | 0.762664i | \(-0.723891\pi\) | ||||
−0.646794 | + | 0.762664i | \(0.723891\pi\) | |||||||
\(662\) | −1.76656 | − | 5.43691i | −0.0686593 | − | 0.211312i | ||||
\(663\) | 0.721124 | + | 0.523927i | 0.0280061 | + | 0.0203476i | ||||
\(664\) | −2.12784 | + | 1.54597i | −0.0825764 | + | 0.0599953i | ||||
\(665\) | −1.70275 | + | 5.24053i | −0.0660299 | + | 0.203219i | ||||
\(666\) | 4.63277 | − | 14.2582i | 0.179516 | − | 0.552494i | ||||
\(667\) | 5.98847 | − | 4.35088i | 0.231874 | − | 0.168467i | ||||
\(668\) | 15.9717 | + | 11.6041i | 0.617965 | + | 0.448978i | ||||
\(669\) | −0.209517 | − | 0.644828i | −0.00810040 | − | 0.0249305i | ||||
\(670\) | −3.55383 | −0.137296 | ||||||||
\(671\) | −37.7430 | + | 20.9306i | −1.45705 | + | 0.808019i | ||||
\(672\) | −0.0970464 | −0.00374365 | ||||||||
\(673\) | 1.02782 | + | 3.16331i | 0.0396196 | + | 0.121937i | 0.968910 | − | 0.247413i | \(-0.0795805\pi\) |
−0.929290 | + | 0.369350i | \(0.879580\pi\) | |||||||
\(674\) | 23.5720 | + | 17.1261i | 0.907959 | + | 0.659671i | ||||
\(675\) | 0.470334 | − | 0.341718i | 0.0181032 | − | 0.0131527i | ||||
\(676\) | 1.76704 | − | 5.43839i | 0.0679631 | − | 0.209169i | ||||
\(677\) | 2.75132 | − | 8.46769i | 0.105742 | − | 0.325440i | −0.884162 | − | 0.467180i | \(-0.845270\pi\) |
0.989904 | + | 0.141740i | \(0.0452699\pi\) | |||||||
\(678\) | −0.720344 | + | 0.523360i | −0.0276646 | + | 0.0200995i | ||||
\(679\) | 0.0692369 | + | 0.0503035i | 0.00265707 | + | 0.00193047i | ||||
\(680\) | 0.656028 | + | 2.01905i | 0.0251575 | + | 0.0774268i | ||||
\(681\) | −2.29138 | −0.0878060 | ||||||||
\(682\) | −4.00148 | − | 0.490551i | −0.153225 | − | 0.0187842i | ||||
\(683\) | 26.5881 | 1.01736 | 0.508682 | − | 0.860954i | \(-0.330133\pi\) | ||||
0.508682 | + | 0.860954i | \(0.330133\pi\) | |||||||
\(684\) | −5.09222 | − | 15.6722i | −0.194706 | − | 0.599243i | ||||
\(685\) | 7.59455 | + | 5.51777i | 0.290173 | + | 0.210823i | ||||
\(686\) | 0.809017 | − | 0.587785i | 0.0308884 | − | 0.0224417i | ||||
\(687\) | 0.631489 | − | 1.94352i | 0.0240928 | − | 0.0741501i | ||||
\(688\) | 1.16012 | − | 3.57048i | 0.0442292 | − | 0.136123i | ||||
\(689\) | −2.55219 | + | 1.85427i | −0.0972305 | + | 0.0706421i | ||||
\(690\) | −0.0723898 | − | 0.0525942i | −0.00275583 | − | 0.00200223i | ||||
\(691\) | −8.91387 | − | 27.4341i | −0.339099 | − | 1.04364i | −0.964667 | − | 0.263471i | \(-0.915133\pi\) |
0.625568 | − | 0.780170i | \(-0.284867\pi\) | |||||||
\(692\) | 13.9142 | 0.528937 | ||||||||
\(693\) | −1.89441 | − | 9.73605i | −0.0719627 | − | 0.369842i | ||||
\(694\) | 9.51730 | 0.361272 | ||||||||
\(695\) | −2.15125 | − | 6.62087i | −0.0816016 | − | 0.251144i | ||||
\(696\) | 0.630312 | + | 0.457948i | 0.0238919 | + | 0.0173585i | ||||
\(697\) | 3.31145 | − | 2.40591i | 0.125430 | − | 0.0911304i | ||||
\(698\) | −2.54788 | + | 7.84156i | −0.0964385 | + | 0.296807i | ||||
\(699\) | −0.893494 | + | 2.74989i | −0.0337951 | + | 0.104010i | ||||
\(700\) | 0.809017 | − | 0.587785i | 0.0305780 | − | 0.0222162i | ||||
\(701\) | −8.82932 | − | 6.41488i | −0.333479 | − | 0.242287i | 0.408426 | − | 0.912791i | \(-0.366078\pi\) |
−0.741905 | + | 0.670505i | \(0.766078\pi\) | |||||||
\(702\) | 0.777255 | + | 2.39215i | 0.0293356 | + | 0.0902857i | ||||
\(703\) | −27.6231 | −1.04182 | ||||||||
\(704\) | −1.40110 | + | 3.00615i | −0.0528058 | + | 0.113298i | ||||
\(705\) | −0.0839502 | −0.00316175 | ||||||||
\(706\) | 9.15764 | + | 28.1843i | 0.344652 | + | 1.06073i | ||||
\(707\) | −6.12849 | − | 4.45261i | −0.230485 | − | 0.167457i | ||||
\(708\) | 0.0139915 | − | 0.0101655i | 0.000525834 | − | 0.000382041i | ||||
\(709\) | −10.8215 | + | 33.3051i | −0.406409 | + | 1.25080i | 0.513303 | + | 0.858207i | \(0.328422\pi\) |
−0.919713 | + | 0.392592i | \(0.871578\pi\) | |||||||
\(710\) | 1.84186 | − | 5.66866i | 0.0691237 | − | 0.212741i | ||||
\(711\) | 31.9294 | − | 23.1981i | 1.19745 | − | 0.869996i | ||||
\(712\) | 14.9408 | + | 10.8551i | 0.559929 | + | 0.406812i | ||||
\(713\) | 0.346326 | + | 1.06588i | 0.0129700 | + | 0.0399176i | ||||
\(714\) | −0.206025 | −0.00771028 | ||||||||
\(715\) | −10.4962 | − | 9.78418i | −0.392537 | − | 0.365907i | ||||
\(716\) | −3.61007 | −0.134915 | ||||||||
\(717\) | −0.552049 | − | 1.69903i | −0.0206167 | − | 0.0634516i | ||||
\(718\) | 20.0471 | + | 14.5651i | 0.748150 | + | 0.543563i | ||||
\(719\) | −35.1650 | + | 25.5489i | −1.31143 | + | 0.952811i | −0.311436 | + | 0.950267i | \(0.600810\pi\) |
−0.999997 | + | 0.00254407i | \(0.999190\pi\) | |||||||
\(720\) | −0.924141 | + | 2.84421i | −0.0344407 | + | 0.105998i | ||||
\(721\) | 1.16246 | − | 3.57770i | 0.0432924 | − | 0.133240i | ||||
\(722\) | −9.19249 | + | 6.67873i | −0.342109 | + | 0.248557i | ||||
\(723\) | 0.169300 | + | 0.123003i | 0.00629632 | + | 0.00457455i | ||||
\(724\) | −0.602637 | − | 1.85473i | −0.0223968 | − | 0.0689303i | ||||
\(725\) | −8.02820 | −0.298160 | ||||||||
\(726\) | 1.03590 | + | 0.257862i | 0.0384458 | + | 0.00957015i | ||||
\(727\) | −52.4475 | −1.94517 | −0.972585 | − | 0.232548i | \(-0.925294\pi\) | ||||
−0.972585 | + | 0.232548i | \(0.925294\pi\) | |||||||
\(728\) | 1.33695 | + | 4.11471i | 0.0495507 | + | 0.152501i | ||||
\(729\) | 21.4331 | + | 15.5721i | 0.793818 | + | 0.576743i | ||||
\(730\) | 11.9970 | − | 8.71636i | 0.444030 | − | 0.322607i | ||||
\(731\) | 2.46288 | − | 7.57996i | 0.0910928 | − | 0.280355i | ||||
\(732\) | −0.390237 | + | 1.20103i | −0.0144236 | + | 0.0443912i | ||||
\(733\) | 21.2256 | − | 15.4213i | 0.783985 | − | 0.569598i | −0.122187 | − | 0.992507i | \(-0.538991\pi\) |
0.906172 | + | 0.422909i | \(0.138991\pi\) | |||||||
\(734\) | −10.4050 | − | 7.55966i | −0.384055 | − | 0.279032i | ||||
\(735\) | 0.0299890 | + | 0.0922966i | 0.00110616 | + | 0.00340441i | ||||
\(736\) | 0.922019 | 0.0339861 | ||||||||
\(737\) | −8.62178 | − | 8.03689i | −0.317587 | − | 0.296043i | ||||
\(738\) | 5.76603 | 0.212250 | ||||||||
\(739\) | −9.22510 | − | 28.3919i | −0.339351 | − | 1.04441i | −0.964539 | − | 0.263940i | \(-0.914978\pi\) |
0.625188 | − | 0.780474i | \(-0.285022\pi\) | |||||||
\(740\) | 4.05565 | + | 2.94660i | 0.149089 | + | 0.108319i | ||||
\(741\) | 1.87171 | − | 1.35988i | 0.0687591 | − | 0.0499564i | ||||
\(742\) | 0.225322 | − | 0.693471i | 0.00827184 | − | 0.0254581i | ||||
\(743\) | −12.3091 | + | 37.8835i | −0.451577 | + | 1.38981i | 0.423530 | + | 0.905882i | \(0.360791\pi\) |
−0.875107 | + | 0.483930i | \(0.839209\pi\) | |||||||
\(744\) | −0.0954334 | + | 0.0693365i | −0.00349876 | + | 0.00254200i | ||||
\(745\) | 16.0877 | + | 11.6884i | 0.589408 | + | 0.428230i | ||||
\(746\) | 7.03657 | + | 21.6563i | 0.257627 | + | 0.792894i | ||||
\(747\) | −7.86571 | −0.287791 | ||||||||
\(748\) | −2.97446 | + | 6.38190i | −0.108757 | + | 0.233345i | ||||
\(749\) | 13.3165 | 0.486574 | ||||||||
\(750\) | 0.0299890 | + | 0.0922966i | 0.00109504 | + | 0.00337020i | ||||
\(751\) | −39.0594 | − | 28.3784i | −1.42530 | − | 1.03554i | −0.990868 | − | 0.134836i | \(-0.956949\pi\) |
−0.434432 | − | 0.900705i | \(-0.643051\pi\) | |||||||
\(752\) | 0.699842 | − | 0.508465i | 0.0255206 | − | 0.0185418i | ||||
\(753\) | 0.588301 | − | 1.81060i | 0.0214389 | − | 0.0659821i | ||||
\(754\) | 10.7333 | − | 33.0337i | 0.390884 | − | 1.20302i | ||||
\(755\) | 5.59157 | − | 4.06251i | 0.203498 | − | 0.147850i | ||||
\(756\) | −0.470334 | − | 0.341718i | −0.0171059 | − | 0.0124281i | ||||
\(757\) | −2.66166 | − | 8.19176i | −0.0967398 | − | 0.297734i | 0.890963 | − | 0.454075i | \(-0.150030\pi\) |
−0.987703 | + | 0.156341i | \(0.950030\pi\) | |||||||
\(758\) | 11.0712 | 0.402125 | ||||||||
\(759\) | −0.0566810 | − | 0.291304i | −0.00205739 | − | 0.0105737i | ||||
\(760\) | 5.51022 | 0.199877 | ||||||||
\(761\) | −0.196045 | − | 0.603365i | −0.00710663 | − | 0.0218720i | 0.947440 | − | 0.319933i | \(-0.103660\pi\) |
−0.954547 | + | 0.298061i | \(0.903660\pi\) | |||||||
\(762\) | 0.677721 | + | 0.492393i | 0.0245512 | + | 0.0178375i | ||||
\(763\) | −6.50905 | + | 4.72910i | −0.235643 | + | 0.171205i | ||||
\(764\) | 3.93882 | − | 12.1224i | 0.142501 | − | 0.438574i | ||||
\(765\) | −1.96190 | + | 6.03812i | −0.0709328 | + | 0.218309i | ||||
\(766\) | −23.2167 | + | 16.8679i | −0.838852 | + | 0.609462i | ||||
\(767\) | −0.623762 | − | 0.453189i | −0.0225227 | − | 0.0163637i | ||||
\(768\) | 0.0299890 | + | 0.0922966i | 0.00108213 | + | 0.00333047i | ||||
\(769\) | −34.4997 | −1.24409 | −0.622046 | − | 0.782981i | \(-0.713698\pi\) | ||||
−0.622046 | + | 0.782981i | \(0.713698\pi\) | |||||||
\(770\) | 3.29198 | + | 0.403572i | 0.118635 | + | 0.0145437i | ||||
\(771\) | −0.491058 | −0.0176850 | ||||||||
\(772\) | −4.50916 | − | 13.8778i | −0.162288 | − | 0.499472i | ||||
\(773\) | 26.6877 | + | 19.3897i | 0.959889 | + | 0.697400i | 0.953125 | − | 0.302577i | \(-0.0978469\pi\) |
0.00676415 | + | 0.999977i | \(0.497847\pi\) | |||||||
\(774\) | 9.08310 | − | 6.59926i | 0.326485 | − | 0.237205i | ||||
\(775\) | 0.375617 | − | 1.15603i | 0.0134926 | − | 0.0415259i | ||||
\(776\) | 0.0264461 | − | 0.0813928i | 0.000949361 | − | 0.00292183i | ||||
\(777\) | −0.393586 | + | 0.285957i | −0.0141198 | + | 0.0102587i | ||||
\(778\) | −1.36228 | − | 0.989751i | −0.0488400 | − | 0.0354843i | ||||
\(779\) | −3.28301 | − | 10.1041i | −0.117626 | − | 0.362016i | ||||
\(780\) | −0.419868 | −0.0150337 | ||||||||
\(781\) | 17.2880 | − | 9.58716i | 0.618612 | − | 0.343055i | ||||
\(782\) | 1.95740 | 0.0699965 | ||||||||
\(783\) | 1.44228 | + | 4.43888i | 0.0515428 | + | 0.158632i | ||||
\(784\) | −0.809017 | − | 0.587785i | −0.0288935 | − | 0.0209923i | ||||
\(785\) | −7.28217 | + | 5.29081i | −0.259912 | + | 0.188837i | ||||
\(786\) | 0.150469 | − | 0.463096i | 0.00536706 | − | 0.0165181i | ||||
\(787\) | −10.3901 | + | 31.9774i | −0.370367 | + | 1.13987i | 0.576185 | + | 0.817319i | \(0.304541\pi\) |
−0.946552 | + | 0.322552i | \(0.895459\pi\) | |||||||
\(788\) | −19.7884 | + | 14.3771i | −0.704934 | + | 0.512164i | ||||
\(789\) | 1.25929 | + | 0.914927i | 0.0448319 | + | 0.0325722i | ||||
\(790\) | 4.07812 | + | 12.5512i | 0.145093 | + | 0.446551i | ||||
\(791\) | −9.17493 | −0.326223 | ||||||||
\(792\) | −8.67413 | + | 4.81029i | −0.308222 | + | 0.170926i | ||||
\(793\) | 56.2988 | 1.99923 | ||||||||
\(794\) | 5.23472 | + | 16.1108i | 0.185773 | + | 0.571751i | ||||
\(795\) | 0.0572478 | + | 0.0415930i | 0.00203037 | + | 0.00147515i | ||||
\(796\) | 8.49456 | − | 6.17166i | 0.301082 | − | 0.218749i | ||||
\(797\) | 13.9241 | − | 42.8541i | 0.493218 | − | 1.51797i | −0.326498 | − | 0.945198i | \(-0.605869\pi\) |
0.819716 | − | 0.572771i | \(-0.194131\pi\) | |||||||
\(798\) | −0.165246 | + | 0.508575i | −0.00584965 | + | 0.0180034i | ||||
\(799\) | 1.48573 | − | 1.07945i | 0.0525613 | − | 0.0381880i | ||||
\(800\) | −0.809017 | − | 0.587785i | −0.0286031 | − | 0.0207813i | ||||
\(801\) | 17.0668 | + | 52.5263i | 0.603027 | + | 1.85593i | ||||
\(802\) | −15.0165 | −0.530252 | ||||||||
\(803\) | 48.8173 | + | 5.98463i | 1.72272 | + | 0.211193i | ||||
\(804\) | −0.344887 | −0.0121632 | ||||||||
\(805\) | −0.284920 | − | 0.876892i | −0.0100421 | − | 0.0309064i | ||||
\(806\) | 4.25455 | + | 3.09111i | 0.149860 | + | 0.108880i | ||||
\(807\) | −0.585186 | + | 0.425163i | −0.0205995 | + | 0.0149664i | ||||
\(808\) | −2.34087 | + | 7.20447i | −0.0823516 | + | 0.253452i | ||||
\(809\) | −3.73927 | + | 11.5083i | −0.131466 | + | 0.404610i | −0.995024 | − | 0.0996401i | \(-0.968231\pi\) |
0.863558 | + | 0.504250i | \(0.168231\pi\) | |||||||
\(810\) | −7.21265 | + | 5.24030i | −0.253427 | + | 0.184125i | ||||
\(811\) | 15.9005 | + | 11.5524i | 0.558341 | + | 0.405658i | 0.830851 | − | 0.556495i | \(-0.187854\pi\) |
−0.272511 | + | 0.962153i | \(0.587854\pi\) | |||||||
\(812\) | 2.48085 | + | 7.63527i | 0.0870608 | + | 0.267945i | ||||
\(813\) | 1.87589 | 0.0657904 | ||||||||
\(814\) | 3.17556 | + | 16.3204i | 0.111303 | + | 0.572028i | ||||
\(815\) | −7.07107 | −0.247689 | ||||||||
\(816\) | 0.0636651 | + | 0.195941i | 0.00222873 | + | 0.00685931i | ||||
\(817\) | −16.7358 | − | 12.1593i | −0.585513 | − | 0.425400i | ||||
\(818\) | −27.2755 | + | 19.8168i | −0.953665 | + | 0.692878i | ||||
\(819\) | −3.99826 | + | 12.3054i | −0.139710 | + | 0.429985i | ||||
\(820\) | −0.595804 | + | 1.83370i | −0.0208064 | + | 0.0640355i | ||||
\(821\) | −4.40972 | + | 3.20385i | −0.153900 | + | 0.111815i | −0.662070 | − | 0.749442i | \(-0.730322\pi\) |
0.508170 | + | 0.861257i | \(0.330322\pi\) | |||||||
\(822\) | 0.737024 | + | 0.535480i | 0.0257067 | + | 0.0186770i | ||||
\(823\) | 10.7780 | + | 33.1712i | 0.375696 | + | 1.15627i | 0.943008 | + | 0.332771i | \(0.107984\pi\) |
−0.567311 | + | 0.823503i | \(0.692016\pi\) | |||||||
\(824\) | −3.76181 | −0.131049 | ||||||||
\(825\) | −0.135971 | + | 0.291736i | −0.00473392 | + | 0.0101569i | ||||
\(826\) | 0.178208 | 0.00620067 | ||||||||
\(827\) | −5.18683 | − | 15.9634i | −0.180364 | − | 0.555103i | 0.819474 | − | 0.573116i | \(-0.194266\pi\) |
−0.999838 | + | 0.0180137i | \(0.994266\pi\) | |||||||
\(828\) | 2.23076 | + | 1.62074i | 0.0775243 | + | 0.0563247i | ||||
\(829\) | 6.45722 | − | 4.69145i | 0.224269 | − | 0.162941i | −0.469977 | − | 0.882678i | \(-0.655738\pi\) |
0.694246 | + | 0.719738i | \(0.255738\pi\) | |||||||
\(830\) | 0.812764 | − | 2.50143i | 0.0282115 | − | 0.0868259i | ||||
\(831\) | 0.658448 | − | 2.02650i | 0.0228413 | − | 0.0702983i | ||||
\(832\) | 3.50018 | − | 2.54303i | 0.121347 | − | 0.0881637i | ||||
\(833\) | −1.71750 | − | 1.24784i | −0.0595079 | − | 0.0432350i | ||||
\(834\) | −0.208771 | − | 0.642531i | −0.00722915 | − | 0.0222490i | ||||
\(835\) | −19.7421 | −0.683205 | ||||||||
\(836\) | 13.3681 | + | 12.4612i | 0.462345 | + | 0.430980i | ||||
\(837\) | −0.706662 | −0.0244258 | ||||||||
\(838\) | −5.49616 | − | 16.9154i | −0.189862 | − | 0.584334i | ||||
\(839\) | 5.23975 | + | 3.80690i | 0.180896 | + | 0.131429i | 0.674548 | − | 0.738231i | \(-0.264338\pi\) |
−0.493652 | + | 0.869659i | \(0.664338\pi\) | |||||||
\(840\) | 0.0785122 | − | 0.0570425i | 0.00270893 | − | 0.00196815i | ||||
\(841\) | 10.9553 | − | 33.7168i | 0.377768 | − | 1.16265i | ||||
\(842\) | 5.64063 | − | 17.3601i | 0.194389 | − | 0.598267i | ||||
\(843\) | −0.0135168 | + | 0.00982053i | −0.000465543 | + | 0.000338237i | ||||
\(844\) | −12.1183 | − | 8.80446i | −0.417129 | − | 0.303062i | ||||
\(845\) | 1.76704 | + | 5.43839i | 0.0607880 | + | 0.187086i | ||||
\(846\) | 2.58701 | 0.0889432 | ||||||||
\(847\) | 7.07385 | + | 8.42381i | 0.243061 | + | 0.289446i | ||||
\(848\) | −0.729158 | −0.0250394 | ||||||||
\(849\) | −0.437808 | − | 1.34743i | −0.0150255 | − | 0.0462438i | ||||
\(850\) | −1.71750 | − | 1.24784i | −0.0589098 | − | 0.0428005i | ||||
\(851\) | 3.73939 | − | 2.71682i | 0.128184 | − | 0.0931315i | ||||
\(852\) | 0.178746 | − | 0.550123i | 0.00612373 | − | 0.0188469i | ||||
\(853\) | −3.43030 | + | 10.5574i | −0.117451 | + | 0.361478i | −0.992450 | − | 0.122646i | \(-0.960862\pi\) |
0.874999 | + | 0.484125i | \(0.160862\pi\) | |||||||
\(854\) | −10.5275 | + | 7.64866i | −0.360243 | + | 0.261732i | ||||
\(855\) | 13.3316 | + | 9.68598i | 0.455931 | + | 0.331253i | ||||
\(856\) | −4.11502 | − | 12.6647i | −0.140649 | − | 0.432872i | ||||
\(857\) | −21.2871 | −0.727154 | −0.363577 | − | 0.931564i | \(-0.618445\pi\) | ||||
−0.363577 | + | 0.931564i | \(0.618445\pi\) | |||||||
\(858\) | −1.01862 | − | 0.949519i | −0.0347752 | − | 0.0324161i | ||||
\(859\) | 14.8904 | 0.508053 | 0.254027 | − | 0.967197i | \(-0.418245\pi\) | ||||
0.254027 | + | 0.967197i | \(0.418245\pi\) | |||||||
\(860\) | 1.16012 | + | 3.57048i | 0.0395598 | + | 0.121752i | ||||
\(861\) | −0.151376 | − | 0.109981i | −0.00515890 | − | 0.00374816i | ||||
\(862\) | −22.2922 | + | 16.1963i | −0.759277 | + | 0.551647i | ||||
\(863\) | −14.7199 | + | 45.3031i | −0.501070 | + | 1.54213i | 0.306209 | + | 0.951964i | \(0.400939\pi\) |
−0.807279 | + | 0.590170i | \(0.799061\pi\) | |||||||
\(864\) | −0.179652 | + | 0.552911i | −0.00611187 | + | 0.0188104i | ||||
\(865\) | −11.2568 | + | 8.17854i | −0.382742 | + | 0.278079i | ||||
\(866\) | 2.57324 | + | 1.86957i | 0.0874422 | + | 0.0635305i | ||||
\(867\) | −0.374655 | − | 1.15307i | −0.0127240 | − | 0.0391603i | ||||
\(868\) | −1.21552 | −0.0412576 | ||||||||
\(869\) | −18.4904 | + | 39.6724i | −0.627244 | + | 1.34579i | ||||
\(870\) | −0.779108 | −0.0264142 | ||||||||
\(871\) | 4.75129 | + | 14.6230i | 0.160991 | + | 0.495481i | ||||
\(872\) | 6.50905 | + | 4.72910i | 0.220424 | + | 0.160148i | ||||
\(873\) | 0.207059 | − | 0.150437i | 0.00700787 | − | 0.00509152i | ||||
\(874\) | 1.56997 | − | 4.83187i | 0.0531050 | − | 0.163440i | ||||
\(875\) | −0.309017 | + | 0.951057i | −0.0104467 | + | 0.0321516i | ||||
\(876\) | 1.16427 | − | 0.845892i | 0.0393370 | − | 0.0285800i | ||||
\(877\) | −29.4818 | − | 21.4198i | −0.995528 | − | 0.723294i | −0.0344035 | − | 0.999408i | \(-0.510953\pi\) |
−0.961125 | + | 0.276114i | \(0.910953\pi\) | |||||||
\(878\) | 12.0555 | + | 37.1029i | 0.406852 | + | 1.25216i | ||||
\(879\) | −0.484738 | −0.0163498 | ||||||||
\(880\) | −0.633458 | − | 3.25557i | −0.0213539 | − | 0.109745i | ||||
\(881\) | 52.4724 | 1.76784 | 0.883920 | − | 0.467639i | \(-0.154895\pi\) | ||||
0.883920 | + | 0.467639i | \(0.154895\pi\) | |||||||
\(882\) | −0.924141 | − | 2.84421i | −0.0311174 | − | 0.0957696i | ||||
\(883\) | 5.54500 | + | 4.02868i | 0.186604 | + | 0.135576i | 0.677165 | − | 0.735831i | \(-0.263208\pi\) |
−0.490561 | + | 0.871407i | \(0.663208\pi\) | |||||||
\(884\) | 7.43071 | − | 5.39872i | 0.249922 | − | 0.181579i | ||||
\(885\) | −0.00534429 | + | 0.0164480i | −0.000179646 | + | 0.000552895i | ||||
\(886\) | 1.54739 | − | 4.76239i | 0.0519858 | − | 0.159996i | ||||
\(887\) | 19.0076 | − | 13.8099i | 0.638214 | − | 0.463690i | −0.221022 | − | 0.975269i | \(-0.570939\pi\) |
0.859236 | + | 0.511579i | \(0.170939\pi\) | |||||||
\(888\) | 0.393586 | + | 0.285957i | 0.0132079 | + | 0.00959609i | ||||
\(889\) | 2.66745 | + | 8.20956i | 0.0894633 | + | 0.275340i | ||||
\(890\) | −18.4678 | −0.619042 | ||||||||
\(891\) | −29.3491 | − | 3.59797i | −0.983231 | − | 0.120537i | ||||
\(892\) | −6.98647 | −0.233924 | ||||||||
\(893\) | −1.47297 | − | 4.53333i | −0.0492910 | − | 0.151702i | ||||
\(894\) | 1.56125 | + | 1.13432i | 0.0522162 | + | 0.0379373i | ||||
\(895\) | 2.92061 | − | 2.12194i | 0.0976251 | − | 0.0709288i | ||||
\(896\) | −0.309017 | + | 0.951057i | −0.0103235 | + | 0.0317726i | ||||
\(897\) | −0.119628 | + | 0.368179i | −0.00399428 | + | 0.0122931i | ||||
\(898\) | −10.1750 | + | 7.39258i | −0.339545 | + | 0.246694i | ||||
\(899\) | 7.89476 | + | 5.73588i | 0.263305 | + | 0.191302i | ||||
\(900\) | −0.924141 | − | 2.84421i | −0.0308047 | − | 0.0948071i | ||||
\(901\) | −1.54797 | −0.0515702 | ||||||||
\(902\) | −5.59231 | + | 3.10125i | −0.186203 | + | 0.103260i | ||||
\(903\) | −0.364335 | −0.0121243 | ||||||||
\(904\) | 2.83521 | + | 8.72587i | 0.0942976 | + | 0.290218i | ||||
\(905\) | 1.57772 | + | 1.14628i | 0.0524453 | + | 0.0381038i | ||||
\(906\) | 0.542642 | − | 0.394252i | 0.0180281 | − | 0.0130982i | ||||
\(907\) | 10.4771 | − | 32.2452i | 0.347886 | − | 1.07068i | −0.612134 | − | 0.790754i | \(-0.709689\pi\) |
0.960020 | − | 0.279930i | \(-0.0903113\pi\) | |||||||
\(908\) | −7.29626 | + | 22.4556i | −0.242135 | + | 0.745215i | ||||
\(909\) | −18.3277 | + | 13.3159i | −0.607893 | + | 0.441660i | ||||
\(910\) | −3.50018 | − | 2.54303i | −0.116030 | − | 0.0843006i | ||||
\(911\) | −15.0841 | − | 46.4242i | −0.499760 | − | 1.53810i | −0.809405 | − | 0.587250i | \(-0.800210\pi\) |
0.309645 | − | 0.950852i | \(-0.399790\pi\) | |||||||
\(912\) | 0.534747 | 0.0177073 | ||||||||
\(913\) | 7.62873 | − | 4.23056i | 0.252474 | − | 0.140011i | ||||
\(914\) | −36.1549 | −1.19590 | ||||||||
\(915\) | −0.390237 | − | 1.20103i | −0.0129008 | − | 0.0397047i | ||||
\(916\) | −17.0358 | − | 12.3772i | −0.562878 | − | 0.408955i | ||||
\(917\) | 4.05922 | − | 2.94920i | 0.134047 | − | 0.0973911i | ||||
\(918\) | −0.381391 | + | 1.17380i | −0.0125878 | + | 0.0387412i | ||||
\(919\) | 5.07014 | − | 15.6043i | 0.167249 | − | 0.514738i | −0.831946 | − | 0.554856i | \(-0.812773\pi\) |
0.999195 | + | 0.0401179i | \(0.0127734\pi\) | |||||||
\(920\) | −0.745929 | + | 0.541949i | −0.0245926 | + | 0.0178675i | ||||
\(921\) | −0.952318 | − | 0.691900i | −0.0313800 | − | 0.0227989i | ||||
\(922\) | 8.04210 | + | 24.7510i | 0.264852 | + | 0.815132i | ||||
\(923\) | −25.7873 | −0.848801 | ||||||||
\(924\) | 0.319475 | + | 0.0391652i | 0.0105100 | + | 0.00128844i | ||||
\(925\) | −5.01306 | −0.164828 | ||||||||
\(926\) | 0.789620 | + | 2.43020i | 0.0259485 | + | 0.0798613i | ||||
\(927\) | −9.10145 | − | 6.61259i | −0.298931 | − | 0.217186i | ||||
\(928\) | 6.49495 | − | 4.71886i | 0.213207 | − | 0.154904i | ||||
\(929\) | −5.86932 | + | 18.0639i | −0.192566 | + | 0.592658i | 0.807430 | + | 0.589963i | \(0.200858\pi\) |
−0.999996 | + | 0.00269460i | \(0.999142\pi\) | |||||||
\(930\) | 0.0364523 | − | 0.112189i | 0.00119532 | − | 0.00367881i | ||||
\(931\) | −4.45786 | + | 3.23883i | −0.146101 | + | 0.106148i | ||||
\(932\) | 24.1039 | + | 17.5125i | 0.789550 | + | 0.573641i | ||||
\(933\) | −0.173644 | − | 0.534421i | −0.00568485 | − | 0.0174962i | ||||
\(934\) | 14.4176 | 0.471760 | ||||||||
\(935\) | −1.34480 | − | 6.91141i | −0.0439797 | − | 0.226027i | ||||
\(936\) | 12.9386 | 0.422913 | ||||||||
\(937\) | 1.62655 | + | 5.00601i | 0.0531372 | + | 0.163539i | 0.974103 | − | 0.226103i | \(-0.0725986\pi\) |
−0.920966 | + | 0.389642i | \(0.872599\pi\) | |||||||
\(938\) | −2.87511 | − | 2.08889i | −0.0938756 | − | 0.0682046i | ||||
\(939\) | 0.644942 | − | 0.468578i | 0.0210469 | − | 0.0152915i | ||||
\(940\) | −0.267316 | + | 0.822713i | −0.00871888 | + | 0.0268340i | ||||
\(941\) | 11.3164 | − | 34.8284i | 0.368905 | − | 1.13537i | −0.578594 | − | 0.815616i | \(-0.696398\pi\) |
0.947499 | − | 0.319758i | \(-0.103602\pi\) | |||||||
\(942\) | −0.706709 | + | 0.513454i | −0.0230258 | + | 0.0167292i | ||||
\(943\) | 1.43820 | + | 1.04491i | 0.0468342 | + | 0.0340270i | ||||
\(944\) | −0.0550695 | − | 0.169486i | −0.00179236 | − | 0.00551631i | ||||
\(945\) | 0.581365 | 0.0189118 | ||||||||
\(946\) | −5.26004 | + | 11.2858i | −0.171019 | + | 0.366932i | ||||
\(947\) | 39.3320 | 1.27812 | 0.639060 | − | 0.769157i | \(-0.279324\pi\) | ||||
0.639060 | + | 0.769157i | \(0.279324\pi\) | |||||||
\(948\) | 0.395767 | + | 1.21805i | 0.0128539 | + | 0.0395603i | ||||
\(949\) | −51.9047 | − | 37.7110i | −1.68490 | − | 1.22415i | ||||
\(950\) | −4.45786 | + | 3.23883i | −0.144632 | + | 0.105081i | ||||
\(951\) | −0.295473 | + | 0.909373i | −0.00958137 | + | 0.0294884i | ||||
\(952\) | −0.656028 | + | 2.01905i | −0.0212620 | + | 0.0654376i | ||||
\(953\) | 24.4201 | − | 17.7422i | 0.791044 | − | 0.574727i | −0.117229 | − | 0.993105i | \(-0.537401\pi\) |
0.908273 | + | 0.418378i | \(0.137401\pi\) | |||||||
\(954\) | −1.76415 | − | 1.28173i | −0.0571164 | − | 0.0414975i | ||||
\(955\) | 3.93882 | + | 12.1224i | 0.127457 | + | 0.392273i | ||||
\(956\) | −18.4084 | −0.595370 | ||||||||
\(957\) | −1.89016 | − | 1.76193i | −0.0611001 | − | 0.0569552i | ||||
\(958\) | 32.6066 | 1.05347 | ||||||||
\(959\) | 2.90086 | + | 8.92793i | 0.0936737 | + | 0.288298i | ||||
\(960\) | −0.0785122 | − | 0.0570425i | −0.00253397 | − | 0.00184104i | ||||
\(961\) | 23.8842 | − | 17.3529i | 0.770458 | − | 0.559771i | ||||
\(962\) | 6.70221 | − | 20.6273i | 0.216088 | − | 0.665050i | ||||
\(963\) | 12.3063 | − | 37.8749i | 0.396565 | − | 1.22050i | ||||
\(964\) | 1.74452 | − | 1.26747i | 0.0561873 | − | 0.0408225i | ||||
\(965\) | 11.8051 | + | 8.57694i | 0.380021 | + | 0.276101i | ||||
\(966\) | −0.0276504 | − | 0.0850993i | −0.000889638 | − | 0.00273802i | ||||
\(967\) | −52.3303 | −1.68283 | −0.841414 | − | 0.540391i | \(-0.818276\pi\) | ||||
−0.841414 | + | 0.540391i | \(0.818276\pi\) | |||||||
\(968\) | 5.82558 | − | 9.33074i | 0.187241 | − | 0.299901i | ||||
\(969\) | 1.13524 | 0.0364692 | ||||||||
\(970\) | 0.0264461 | + | 0.0813928i | 0.000849134 | + | 0.00261337i | ||||
\(971\) | −27.6446 | − | 20.0850i | −0.887159 | − | 0.644559i | 0.0479767 | − | 0.998848i | \(-0.484723\pi\) |
−0.935136 | + | 0.354290i | \(0.884723\pi\) | |||||||
\(972\) | −2.11096 | + | 1.53370i | −0.0677092 | + | 0.0491936i | ||||
\(973\) | 2.15125 | − | 6.62087i | 0.0689659 | − | 0.212255i | ||||
\(974\) | 5.22365 | − | 16.0767i | 0.167377 | − | 0.515132i | ||||
\(975\) | 0.339680 | − | 0.246792i | 0.0108785 | − | 0.00790367i | ||||
\(976\) | 10.5275 | + | 7.64866i | 0.336976 | + | 0.244828i | ||||
\(977\) | −13.3517 | − | 41.0922i | −0.427158 | − | 1.31466i | −0.900913 | − | 0.434000i | \(-0.857102\pi\) |
0.473755 | − | 0.880657i | \(-0.342898\pi\) | |||||||
\(978\) | −0.686222 | −0.0219430 | ||||||||
\(979\) | −44.8039 | − | 41.7644i | −1.43194 | − | 1.33480i | ||||
\(980\) | 1.00000 | 0.0319438 | ||||||||
\(981\) | 7.43529 | + | 22.8835i | 0.237391 | + | 0.730613i | ||||
\(982\) | 31.3627 | + | 22.7863i | 1.00082 | + | 0.727141i | ||||
\(983\) | −35.5702 | + | 25.8432i | −1.13451 | + | 0.824271i | −0.986345 | − | 0.164691i | \(-0.947337\pi\) |
−0.148167 | + | 0.988962i | \(0.547337\pi\) | |||||||
\(984\) | −0.0578207 | + | 0.177954i | −0.00184326 | + | 0.00567296i | ||||
\(985\) | 7.55851 | − | 23.2627i | 0.240834 | − | 0.741211i | ||||
\(986\) | 13.7884 | − | 10.0179i | 0.439114 | − | 0.319035i | ||||
\(987\) | −0.0679171 | − | 0.0493447i | −0.00216183 | − | 0.00157066i | ||||
\(988\) | −7.36689 | − | 22.6730i | −0.234372 | − | 0.721323i | ||||
\(989\) | 3.46147 | 0.110068 | ||||||||
\(990\) | 4.19010 | − | 8.99013i | 0.133170 | − | 0.285725i | ||||
\(991\) | 11.0881 | 0.352224 | 0.176112 | − | 0.984370i | \(-0.443648\pi\) | ||||
0.176112 | + | 0.984370i | \(0.443648\pi\) | |||||||
\(992\) | 0.375617 | + | 1.15603i | 0.0119259 | + | 0.0367040i | ||||
\(993\) | 0.448831 | + | 0.326095i | 0.0142432 | + | 0.0103483i | ||||
\(994\) | 4.82205 | − | 3.50342i | 0.152946 | − | 0.111122i | ||||
\(995\) | −3.24463 | + | 9.98595i | −0.102862 | + | 0.316576i | ||||
\(996\) | 0.0788759 | − | 0.242755i | 0.00249928 | − | 0.00769199i | ||||
\(997\) | −11.5985 | + | 8.42680i | −0.367328 | + | 0.266879i | −0.756102 | − | 0.654454i | \(-0.772899\pi\) |
0.388774 | + | 0.921333i | \(0.372899\pi\) | |||||||
\(998\) | 30.4655 | + | 22.1345i | 0.964370 | + | 0.700656i | ||||
\(999\) | 0.900604 | + | 2.77177i | 0.0284938 | + | 0.0876950i |
(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 | 770.2.n.g.71.2 | ✓ | 12 | |
11.3 | even | 5 | 8470.2.a.db.1.4 | 6 | |||
11.8 | odd | 10 | 8470.2.a.cv.1.4 | 6 | |||
11.9 | even | 5 | inner | 770.2.n.g.141.2 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.n.g.71.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
770.2.n.g.141.2 | yes | 12 | 11.9 | even | 5 | inner | |
8470.2.a.cv.1.4 | 6 | 11.8 | odd | 10 | |||
8470.2.a.db.1.4 | 6 | 11.3 | even | 5 |