Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 85.4 | ||
Character | \(\chi\) | \(=\) | 189.85 |
Dual form | 189.2.v.a.169.4 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08295 | − | 0.394160i | −0.765758 | − | 0.278713i | −0.0705370 | − | 0.997509i | \(-0.522471\pi\) |
−0.695221 | + | 0.718796i | \(0.744693\pi\) | |||||||
\(3\) | 0.106738 | + | 1.72876i | 0.0616253 | + | 0.998099i | ||||
\(4\) | −0.514680 | − | 0.431868i | −0.257340 | − | 0.215934i | ||||
\(5\) | −0.132560 | + | 0.751786i | −0.0592827 | + | 0.336209i | −0.999996 | − | 0.00299518i | \(-0.999047\pi\) |
0.940713 | + | 0.339204i | \(0.110158\pi\) | |||||||
\(6\) | 0.565816 | − | 1.91422i | 0.230993 | − | 0.781478i | ||||
\(7\) | 0.766044 | − | 0.642788i | 0.289538 | − | 0.242951i | ||||
\(8\) | 1.53959 | + | 2.66665i | 0.544328 | + | 0.942804i | ||||
\(9\) | −2.97721 | + | 0.369049i | −0.992405 | + | 0.123016i | ||||
\(10\) | 0.439879 | − | 0.761893i | 0.139102 | − | 0.240932i | ||||
\(11\) | 0.836546 | + | 4.74429i | 0.252228 | + | 1.43046i | 0.803089 | + | 0.595859i | \(0.203188\pi\) |
−0.550861 | + | 0.834597i | \(0.685701\pi\) | |||||||
\(12\) | 0.691660 | − | 0.935855i | 0.199665 | − | 0.270158i | ||||
\(13\) | −4.57237 | + | 1.66421i | −1.26815 | + | 0.461568i | −0.886495 | − | 0.462738i | \(-0.846867\pi\) |
−0.381653 | + | 0.924306i | \(0.624645\pi\) | |||||||
\(14\) | −1.08295 | + | 0.394160i | −0.289429 | + | 0.105344i | ||||
\(15\) | −1.31381 | − | 0.148920i | −0.339223 | − | 0.0384510i | ||||
\(16\) | −0.382870 | − | 2.17136i | −0.0957174 | − | 0.542841i | ||||
\(17\) | −2.56297 | + | 4.43920i | −0.621612 | + | 1.07666i | 0.367574 | + | 0.929994i | \(0.380189\pi\) |
−0.989186 | + | 0.146669i | \(0.953145\pi\) | |||||||
\(18\) | 3.36962 | + | 0.773838i | 0.794228 | + | 0.182395i | ||||
\(19\) | −0.229399 | − | 0.397331i | −0.0526278 | − | 0.0911540i | 0.838511 | − | 0.544884i | \(-0.183426\pi\) |
−0.891139 | + | 0.453730i | \(0.850093\pi\) | |||||||
\(20\) | 0.392898 | − | 0.329681i | 0.0878548 | − | 0.0737189i | ||||
\(21\) | 1.19299 | + | 1.25570i | 0.260332 | + | 0.274015i | ||||
\(22\) | 0.964074 | − | 5.46753i | 0.205541 | − | 1.16568i | ||||
\(23\) | −2.40975 | − | 2.02202i | −0.502468 | − | 0.421620i | 0.356002 | − | 0.934485i | \(-0.384140\pi\) |
−0.858469 | + | 0.512865i | \(0.828584\pi\) | |||||||
\(24\) | −4.44566 | + | 2.94622i | −0.907467 | + | 0.601394i | ||||
\(25\) | 4.15085 | + | 1.51079i | 0.830171 | + | 0.302157i | ||||
\(26\) | 5.60759 | 1.09974 | ||||||||
\(27\) | −0.955779 | − | 5.10749i | −0.183940 | − | 0.982938i | ||||
\(28\) | −0.671868 | −0.126971 | ||||||||
\(29\) | 6.15200 | + | 2.23914i | 1.14240 | + | 0.415799i | 0.842779 | − | 0.538260i | \(-0.180918\pi\) |
0.299619 | + | 0.954059i | \(0.403141\pi\) | |||||||
\(30\) | 1.36408 | + | 0.679122i | 0.249046 | + | 0.123990i | ||||
\(31\) | 3.76234 | + | 3.15698i | 0.675736 | + | 0.567010i | 0.914757 | − | 0.404004i | \(-0.132382\pi\) |
−0.239021 | + | 0.971014i | \(0.576826\pi\) | |||||||
\(32\) | 0.628153 | − | 3.56243i | 0.111043 | − | 0.629755i | ||||
\(33\) | −8.11243 | + | 1.95258i | −1.41219 | + | 0.339901i | ||||
\(34\) | 4.52531 | − | 3.79719i | 0.776084 | − | 0.651212i | ||||
\(35\) | 0.381692 | + | 0.661109i | 0.0645177 | + | 0.111748i | ||||
\(36\) | 1.69169 | + | 1.09582i | 0.281949 | + | 0.182637i | ||||
\(37\) | 4.24314 | − | 7.34934i | 0.697568 | − | 1.20822i | −0.271739 | − | 0.962371i | \(-0.587599\pi\) |
0.969307 | − | 0.245853i | \(-0.0790680\pi\) | |||||||
\(38\) | 0.0918148 | + | 0.520708i | 0.0148943 | + | 0.0844700i | ||||
\(39\) | −3.36506 | − | 7.72689i | −0.538841 | − | 1.23729i | ||||
\(40\) | −2.20884 | + | 0.803952i | −0.349248 | + | 0.127116i | ||||
\(41\) | −3.12785 | + | 1.13844i | −0.488488 | + | 0.177795i | −0.574509 | − | 0.818498i | \(-0.694807\pi\) |
0.0860209 | + | 0.996293i | \(0.472585\pi\) | |||||||
\(42\) | −0.796999 | − | 1.83008i | −0.122980 | − | 0.282387i | ||||
\(43\) | −0.456012 | − | 2.58617i | −0.0695412 | − | 0.394388i | −0.999634 | − | 0.0270625i | \(-0.991385\pi\) |
0.930093 | − | 0.367325i | \(-0.119726\pi\) | |||||||
\(44\) | 1.61835 | − | 2.80307i | 0.243976 | − | 0.422578i | ||||
\(45\) | 0.117214 | − | 2.28715i | 0.0174732 | − | 0.340948i | ||||
\(46\) | 1.81263 | + | 3.13956i | 0.267257 | + | 0.462904i | ||||
\(47\) | −3.93971 | + | 3.30581i | −0.574665 | + | 0.482201i | −0.883190 | − | 0.469015i | \(-0.844609\pi\) |
0.308525 | + | 0.951216i | \(0.400165\pi\) | |||||||
\(48\) | 3.71289 | − | 0.893657i | 0.535910 | − | 0.128988i | ||||
\(49\) | 0.173648 | − | 0.984808i | 0.0248069 | − | 0.140687i | ||||
\(50\) | −3.89966 | − | 3.27220i | −0.551495 | − | 0.462759i | ||||
\(51\) | −7.94787 | − | 3.95693i | −1.11292 | − | 0.554081i | ||||
\(52\) | 3.07203 | + | 1.11813i | 0.426014 | + | 0.155056i | ||||
\(53\) | 4.63067 | 0.636071 | 0.318036 | − | 0.948079i | \(-0.396977\pi\) | ||||
0.318036 | + | 0.948079i | \(0.396977\pi\) | |||||||
\(54\) | −0.978112 | + | 5.90787i | −0.133104 | + | 0.803959i | ||||
\(55\) | −3.67758 | −0.495885 | ||||||||
\(56\) | 2.89349 | + | 1.05314i | 0.386658 | + | 0.140732i | ||||
\(57\) | 0.662404 | − | 0.438986i | 0.0877375 | − | 0.0581452i | ||||
\(58\) | −5.77970 | − | 4.84974i | −0.758911 | − | 0.636802i | ||||
\(59\) | 2.28431 | − | 12.9550i | 0.297392 | − | 1.68659i | −0.359926 | − | 0.932981i | \(-0.617198\pi\) |
0.657318 | − | 0.753613i | \(-0.271691\pi\) | |||||||
\(60\) | 0.611876 | + | 0.644037i | 0.0789929 | + | 0.0831448i | ||||
\(61\) | 6.29130 | − | 5.27903i | 0.805518 | − | 0.675910i | −0.144015 | − | 0.989575i | \(-0.546001\pi\) |
0.949534 | + | 0.313665i | \(0.101557\pi\) | |||||||
\(62\) | −2.83006 | − | 4.90180i | −0.359417 | − | 0.622529i | ||||
\(63\) | −2.04346 | + | 2.19642i | −0.257452 | + | 0.276723i | ||||
\(64\) | −4.28928 | + | 7.42925i | −0.536160 | + | 0.928656i | ||||
\(65\) | −0.645013 | − | 3.65805i | −0.0800040 | − | 0.453726i | ||||
\(66\) | 9.55495 | + | 1.08306i | 1.17613 | + | 0.133315i | ||||
\(67\) | −10.8956 | + | 3.96569i | −1.33111 | + | 0.484486i | −0.907003 | − | 0.421124i | \(-0.861636\pi\) |
−0.424112 | + | 0.905610i | \(0.639414\pi\) | |||||||
\(68\) | 3.23626 | − | 1.17790i | 0.392454 | − | 0.142842i | ||||
\(69\) | 3.23837 | − | 4.38170i | 0.389854 | − | 0.527495i | ||||
\(70\) | −0.152768 | − | 0.866393i | −0.0182593 | − | 0.103554i | ||||
\(71\) | −1.40476 | + | 2.43311i | −0.166714 | + | 0.288757i | −0.937263 | − | 0.348624i | \(-0.886649\pi\) |
0.770549 | + | 0.637381i | \(0.219982\pi\) | |||||||
\(72\) | −5.56782 | − | 7.37101i | −0.656174 | − | 0.868681i | ||||
\(73\) | 8.09350 | + | 14.0183i | 0.947272 | + | 1.64072i | 0.751137 | + | 0.660147i | \(0.229506\pi\) |
0.196135 | + | 0.980577i | \(0.437161\pi\) | |||||||
\(74\) | −7.49191 | + | 6.28646i | −0.870916 | + | 0.730786i | ||||
\(75\) | −2.16873 | + | 7.33708i | −0.250424 | + | 0.847213i | ||||
\(76\) | −0.0535274 | + | 0.303569i | −0.00614001 | + | 0.0348217i | ||||
\(77\) | 3.69040 | + | 3.09661i | 0.420560 | + | 0.352892i | ||||
\(78\) | 0.598544 | + | 9.69417i | 0.0677718 | + | 1.09765i | ||||
\(79\) | 6.56079 | + | 2.38793i | 0.738147 | + | 0.268664i | 0.683609 | − | 0.729848i | \(-0.260409\pi\) |
0.0545377 | + | 0.998512i | \(0.482631\pi\) | |||||||
\(80\) | 1.68315 | 0.188182 | ||||||||
\(81\) | 8.72761 | − | 2.19748i | 0.969734 | − | 0.244164i | ||||
\(82\) | 3.83602 | 0.423618 | ||||||||
\(83\) | −5.09549 | − | 1.85461i | −0.559303 | − | 0.203569i | 0.0468723 | − | 0.998901i | \(-0.485075\pi\) |
−0.606175 | + | 0.795331i | \(0.707297\pi\) | |||||||
\(84\) | −0.0717139 | − | 1.16150i | −0.00782463 | − | 0.126730i | ||||
\(85\) | −2.99758 | − | 2.51527i | −0.325133 | − | 0.272819i | ||||
\(86\) | −0.525529 | + | 2.98043i | −0.0566693 | + | 0.321388i | ||||
\(87\) | −3.21429 | + | 10.8743i | −0.344608 | + | 1.16585i | ||||
\(88\) | −11.3634 | + | 9.53504i | −1.21134 | + | 1.01644i | ||||
\(89\) | −1.19817 | − | 2.07529i | −0.127005 | − | 0.219980i | 0.795510 | − | 0.605941i | \(-0.207203\pi\) |
−0.922515 | + | 0.385961i | \(0.873870\pi\) | |||||||
\(90\) | −1.02844 | + | 2.43066i | −0.108407 | + | 0.256214i | ||||
\(91\) | −2.43291 | + | 4.21392i | −0.255038 | + | 0.441739i | ||||
\(92\) | 0.367005 | + | 2.08139i | 0.0382629 | + | 0.217000i | ||||
\(93\) | −5.05607 | + | 6.84115i | −0.524290 | + | 0.709394i | ||||
\(94\) | 5.56950 | − | 2.02713i | 0.574450 | − | 0.209083i | ||||
\(95\) | 0.329117 | − | 0.119789i | 0.0337667 | − | 0.0122901i | ||||
\(96\) | 6.22563 | + | 0.705677i | 0.635401 | + | 0.0720229i | ||||
\(97\) | 1.94692 | + | 11.0415i | 0.197680 | + | 1.12110i | 0.908551 | + | 0.417774i | \(0.137190\pi\) |
−0.710871 | + | 0.703322i | \(0.751699\pi\) | |||||||
\(98\) | −0.576223 | + | 0.998048i | −0.0582073 | + | 0.100818i | ||||
\(99\) | −4.24145 | − | 13.8160i | −0.426282 | − | 1.38856i | ||||
\(100\) | −1.48390 | − | 2.57019i | −0.148390 | − | 0.257019i | ||||
\(101\) | 0.596028 | − | 0.500127i | 0.0593070 | − | 0.0497645i | −0.612652 | − | 0.790353i | \(-0.709897\pi\) |
0.671959 | + | 0.740588i | \(0.265453\pi\) | |||||||
\(102\) | 7.04744 | + | 7.41787i | 0.697801 | + | 0.734478i | ||||
\(103\) | −0.503634 | + | 2.85625i | −0.0496245 | + | 0.281435i | −0.999515 | − | 0.0311490i | \(-0.990083\pi\) |
0.949890 | + | 0.312584i | \(0.101194\pi\) | |||||||
\(104\) | −11.4774 | − | 9.63072i | −1.12546 | − | 0.944370i | ||||
\(105\) | −1.10216 | + | 0.730419i | −0.107560 | + | 0.0712815i | ||||
\(106\) | −5.01476 | − | 1.82522i | −0.487077 | − | 0.177281i | ||||
\(107\) | 14.3434 | 1.38663 | 0.693316 | − | 0.720633i | \(-0.256149\pi\) | ||||
0.693316 | + | 0.720633i | \(0.256149\pi\) | |||||||
\(108\) | −1.71384 | + | 3.04150i | −0.164915 | + | 0.292668i | ||||
\(109\) | 11.5637 | 1.10760 | 0.553802 | − | 0.832648i | \(-0.313176\pi\) | ||||
0.553802 | + | 0.832648i | \(0.313176\pi\) | |||||||
\(110\) | 3.98262 | + | 1.44955i | 0.379728 | + | 0.138210i | ||||
\(111\) | 13.1581 | + | 6.55092i | 1.24892 | + | 0.621785i | ||||
\(112\) | −1.68902 | − | 1.41726i | −0.159597 | − | 0.133918i | ||||
\(113\) | −0.940725 | + | 5.33512i | −0.0884959 | + | 0.501885i | 0.908051 | + | 0.418859i | \(0.137570\pi\) |
−0.996547 | + | 0.0830267i | \(0.973541\pi\) | |||||||
\(114\) | −0.890378 | + | 0.214305i | −0.0833915 | + | 0.0200715i | ||||
\(115\) | 1.83956 | − | 1.54358i | 0.171540 | − | 0.143939i | ||||
\(116\) | −2.19930 | − | 3.80930i | −0.204200 | − | 0.353684i | ||||
\(117\) | 12.9988 | − | 6.64213i | 1.20174 | − | 0.614065i | ||||
\(118\) | −7.58012 | + | 13.1291i | −0.697806 | + | 1.20864i | ||||
\(119\) | 0.890110 | + | 5.04807i | 0.0815963 | + | 0.462756i | ||||
\(120\) | −1.62561 | − | 3.73274i | −0.148397 | − | 0.340751i | ||||
\(121\) | −11.4718 | + | 4.17540i | −1.04289 | + | 0.379582i | ||||
\(122\) | −8.89391 | + | 3.23712i | −0.805217 | + | 0.293075i | ||||
\(123\) | −2.30196 | − | 5.28578i | −0.207561 | − | 0.476603i | ||||
\(124\) | −0.573005 | − | 3.24967i | −0.0514573 | − | 0.291829i | ||||
\(125\) | −3.59448 | + | 6.22583i | −0.321500 | + | 0.556855i | ||||
\(126\) | 3.07870 | − | 1.57316i | 0.274272 | − | 0.140148i | ||||
\(127\) | −9.44031 | − | 16.3511i | −0.837692 | − | 1.45092i | −0.891820 | − | 0.452391i | \(-0.850571\pi\) |
0.0541280 | − | 0.998534i | \(-0.482762\pi\) | |||||||
\(128\) | 2.03121 | − | 1.70439i | 0.179535 | − | 0.150648i | ||||
\(129\) | 4.42220 | − | 1.06438i | 0.389353 | − | 0.0937133i | ||||
\(130\) | −0.743343 | + | 4.21571i | −0.0651955 | + | 0.369742i | ||||
\(131\) | 3.08580 | + | 2.58930i | 0.269608 | + | 0.226228i | 0.767561 | − | 0.640976i | \(-0.221470\pi\) |
−0.497953 | + | 0.867204i | \(0.665915\pi\) | |||||||
\(132\) | 5.01857 | + | 2.49855i | 0.436810 | + | 0.217471i | ||||
\(133\) | −0.431129 | − | 0.156918i | −0.0373837 | − | 0.0136065i | ||||
\(134\) | 13.3625 | 1.15434 | ||||||||
\(135\) | 3.96644 | − | 0.0414913i | 0.341377 | − | 0.00357100i | ||||
\(136\) | −15.7837 | −1.35344 | ||||||||
\(137\) | −13.0851 | − | 4.76257i | −1.11793 | − | 0.406894i | −0.284035 | − | 0.958814i | \(-0.591673\pi\) |
−0.833897 | + | 0.551920i | \(0.813895\pi\) | |||||||
\(138\) | −5.23407 | + | 3.46871i | −0.445554 | + | 0.295276i | ||||
\(139\) | 1.00517 | + | 0.843438i | 0.0852574 | + | 0.0715395i | 0.684420 | − | 0.729088i | \(-0.260055\pi\) |
−0.599163 | + | 0.800627i | \(0.704500\pi\) | |||||||
\(140\) | 0.0890629 | − | 0.505101i | 0.00752719 | − | 0.0426888i | ||||
\(141\) | −6.13546 | − | 6.45794i | −0.516699 | − | 0.543857i | ||||
\(142\) | 2.48031 | − | 2.08122i | 0.208143 | − | 0.174652i | ||||
\(143\) | −11.7205 | − | 20.3005i | −0.980115 | − | 1.69761i | ||||
\(144\) | 1.94122 | + | 6.32331i | 0.161769 | + | 0.526943i | ||||
\(145\) | −2.49887 | + | 4.32816i | −0.207520 | + | 0.359434i | ||||
\(146\) | −3.23934 | − | 18.3712i | −0.268090 | − | 1.52041i | ||||
\(147\) | 1.72103 | + | 0.195079i | 0.141948 | + | 0.0160899i | ||||
\(148\) | −5.35781 | + | 1.95008i | −0.440409 | + | 0.160296i | ||||
\(149\) | 3.49647 | − | 1.27261i | 0.286442 | − | 0.104256i | −0.194803 | − | 0.980842i | \(-0.562407\pi\) |
0.481245 | + | 0.876586i | \(0.340185\pi\) | |||||||
\(150\) | 5.24060 | − | 7.09083i | 0.427893 | − | 0.578964i | ||||
\(151\) | −3.63663 | − | 20.6244i | −0.295945 | − | 1.67839i | −0.663337 | − | 0.748321i | \(-0.730860\pi\) |
0.367392 | − | 0.930066i | \(-0.380251\pi\) | |||||||
\(152\) | 0.706362 | − | 1.22346i | 0.0572935 | − | 0.0992353i | ||||
\(153\) | 5.99223 | − | 14.1623i | 0.484443 | − | 1.14495i | ||||
\(154\) | −2.77594 | − | 4.80807i | −0.223692 | − | 0.387445i | ||||
\(155\) | −2.87211 | + | 2.40999i | −0.230693 | + | 0.193575i | ||||
\(156\) | −1.60507 | + | 5.43014i | −0.128508 | + | 0.434759i | ||||
\(157\) | 2.04705 | − | 11.6094i | 0.163373 | − | 0.926532i | −0.787354 | − | 0.616501i | \(-0.788550\pi\) |
0.950727 | − | 0.310031i | \(-0.100339\pi\) | |||||||
\(158\) | −6.16375 | − | 5.17200i | −0.490362 | − | 0.411463i | ||||
\(159\) | 0.494269 | + | 8.00531i | 0.0391981 | + | 0.634862i | ||||
\(160\) | 2.59492 | + | 0.944472i | 0.205146 | + | 0.0746671i | ||||
\(161\) | −3.14571 | −0.247916 | ||||||||
\(162\) | −10.3177 | − | 1.06033i | −0.810633 | − | 0.0833070i | ||||
\(163\) | 9.55126 | 0.748112 | 0.374056 | − | 0.927406i | \(-0.377967\pi\) | ||||
0.374056 | + | 0.927406i | \(0.377967\pi\) | |||||||
\(164\) | 2.10150 | + | 0.764884i | 0.164100 | + | 0.0597274i | ||||
\(165\) | −0.392538 | − | 6.35765i | −0.0305590 | − | 0.494942i | ||||
\(166\) | 4.78712 | + | 4.01687i | 0.371553 | + | 0.311770i | ||||
\(167\) | −3.07831 | + | 17.4580i | −0.238207 | + | 1.35094i | 0.597547 | + | 0.801834i | \(0.296142\pi\) |
−0.835754 | + | 0.549105i | \(0.814969\pi\) | |||||||
\(168\) | −1.51178 | + | 5.11455i | −0.116637 | + | 0.394596i | ||||
\(169\) | 8.17842 | − | 6.86251i | 0.629109 | − | 0.527885i | ||||
\(170\) | 2.25480 | + | 3.90542i | 0.172935 | + | 0.299532i | ||||
\(171\) | 0.829605 | + | 1.09828i | 0.0634415 | + | 0.0839876i | ||||
\(172\) | −0.882185 | + | 1.52799i | −0.0672660 | + | 0.116508i | ||||
\(173\) | 1.46608 | + | 8.31457i | 0.111464 | + | 0.632145i | 0.988440 | + | 0.151611i | \(0.0484460\pi\) |
−0.876976 | + | 0.480534i | \(0.840443\pi\) | |||||||
\(174\) | 7.76712 | − | 10.5094i | 0.588824 | − | 0.796712i | ||||
\(175\) | 4.15085 | − | 1.51079i | 0.313775 | − | 0.114205i | ||||
\(176\) | 9.98127 | − | 3.63289i | 0.752367 | − | 0.273839i | ||||
\(177\) | 22.6399 | + | 2.56623i | 1.70172 | + | 0.192890i | ||||
\(178\) | 0.479555 | + | 2.71969i | 0.0359441 | + | 0.203849i | ||||
\(179\) | −3.07734 | + | 5.33011i | −0.230011 | + | 0.398391i | −0.957811 | − | 0.287398i | \(-0.907210\pi\) |
0.727800 | + | 0.685790i | \(0.240543\pi\) | |||||||
\(180\) | −1.04807 | + | 1.12653i | −0.0781189 | + | 0.0839666i | ||||
\(181\) | 9.55257 | + | 16.5455i | 0.710037 | + | 1.22982i | 0.964843 | + | 0.262828i | \(0.0846551\pi\) |
−0.254806 | + | 0.966992i | \(0.582012\pi\) | |||||||
\(182\) | 4.29566 | − | 3.60449i | 0.318416 | − | 0.267183i | ||||
\(183\) | 9.79769 | + | 10.3127i | 0.724266 | + | 0.762334i | ||||
\(184\) | 1.68199 | − | 9.53905i | 0.123998 | − | 0.703228i | ||||
\(185\) | 4.96266 | + | 4.16416i | 0.364862 | + | 0.306155i | ||||
\(186\) | 8.17195 | − | 5.41569i | 0.599197 | − | 0.397098i | ||||
\(187\) | −23.2049 | − | 8.44588i | −1.69691 | − | 0.617624i | ||||
\(188\) | 3.45536 | 0.252008 | ||||||||
\(189\) | −4.01520 | − | 3.29820i | −0.292063 | − | 0.239909i | ||||
\(190\) | −0.403632 | −0.0292825 | ||||||||
\(191\) | −4.87197 | − | 1.77325i | −0.352523 | − | 0.128308i | 0.159688 | − | 0.987168i | \(-0.448951\pi\) |
−0.512211 | + | 0.858860i | \(0.671173\pi\) | |||||||
\(192\) | −13.3012 | − | 6.62215i | −0.959932 | − | 0.477912i | ||||
\(193\) | 16.2024 | + | 13.5954i | 1.16627 | + | 0.978619i | 0.999972 | − | 0.00745610i | \(-0.00237337\pi\) |
0.166301 | + | 0.986075i | \(0.446818\pi\) | |||||||
\(194\) | 2.24372 | − | 12.7248i | 0.161090 | − | 0.913585i | ||||
\(195\) | 6.25504 | − | 1.50553i | 0.447933 | − | 0.107813i | ||||
\(196\) | −0.514680 | + | 0.431868i | −0.0367629 | + | 0.0308477i | ||||
\(197\) | −0.178113 | − | 0.308501i | −0.0126900 | − | 0.0219798i | 0.859611 | − | 0.510950i | \(-0.170706\pi\) |
−0.872301 | + | 0.488970i | \(0.837373\pi\) | |||||||
\(198\) | −0.852466 | + | 16.6338i | −0.0605821 | + | 1.18211i | ||||
\(199\) | −3.01450 | + | 5.22127i | −0.213692 | + | 0.370126i | −0.952867 | − | 0.303388i | \(-0.901882\pi\) |
0.739175 | + | 0.673513i | \(0.235216\pi\) | |||||||
\(200\) | 2.36188 | + | 13.3949i | 0.167010 | + | 0.947161i | ||||
\(201\) | −8.01870 | − | 18.4126i | −0.565596 | − | 1.29873i | ||||
\(202\) | −0.842595 | + | 0.306680i | −0.0592848 | + | 0.0215779i | ||||
\(203\) | 6.15200 | − | 2.23914i | 0.431786 | − | 0.157157i | ||||
\(204\) | 2.38174 | + | 5.46898i | 0.166755 | + | 0.382905i | ||||
\(205\) | −0.441238 | − | 2.50239i | −0.0308174 | − | 0.174774i | ||||
\(206\) | 1.67123 | − | 2.89465i | 0.116440 | − | 0.201680i | ||||
\(207\) | 7.92057 | + | 5.13067i | 0.550517 | + | 0.356606i | ||||
\(208\) | 5.36422 | + | 9.29110i | 0.371942 | + | 0.644222i | ||||
\(209\) | 1.69315 | − | 1.42072i | 0.117118 | − | 0.0982733i | ||||
\(210\) | 1.48148 | − | 0.356577i | 0.102232 | − | 0.0246061i | ||||
\(211\) | 1.33716 | − | 7.58339i | 0.0920536 | − | 0.522062i | −0.903557 | − | 0.428468i | \(-0.859053\pi\) |
0.995610 | − | 0.0935937i | \(-0.0298355\pi\) | |||||||
\(212\) | −2.38331 | − | 1.99984i | −0.163687 | − | 0.137349i | ||||
\(213\) | −4.35620 | − | 2.16878i | −0.298482 | − | 0.148602i | ||||
\(214\) | −15.5332 | − | 5.65361i | −1.06182 | − | 0.386473i | ||||
\(215\) | 2.00470 | 0.136719 | ||||||||
\(216\) | 12.1484 | − | 10.4122i | 0.826594 | − | 0.708459i | ||||
\(217\) | 4.91139 | 0.333407 | ||||||||
\(218\) | −12.5229 | − | 4.55796i | −0.848157 | − | 0.308704i | ||||
\(219\) | −23.3705 | + | 15.4880i | −1.57923 | + | 1.04658i | ||||
\(220\) | 1.89278 | + | 1.58823i | 0.127611 | + | 0.107078i | ||||
\(221\) | 4.33111 | − | 24.5630i | 0.291342 | − | 1.65228i | ||||
\(222\) | −11.6674 | − | 12.2807i | −0.783067 | − | 0.824226i | ||||
\(223\) | −12.4173 | + | 10.4194i | −0.831525 | + | 0.697733i | −0.955641 | − | 0.294535i | \(-0.904835\pi\) |
0.124115 | + | 0.992268i | \(0.460391\pi\) | |||||||
\(224\) | −1.80869 | − | 3.13275i | −0.120848 | − | 0.209316i | ||||
\(225\) | −12.9155 | − | 2.96607i | −0.861036 | − | 0.197738i | ||||
\(226\) | 3.12164 | − | 5.40684i | 0.207649 | − | 0.359658i | ||||
\(227\) | −0.250917 | − | 1.42302i | −0.0166539 | − | 0.0944492i | 0.975348 | − | 0.220673i | \(-0.0708254\pi\) |
−0.992002 | + | 0.126224i | \(0.959714\pi\) | |||||||
\(228\) | −0.530510 | − | 0.0601335i | −0.0351339 | − | 0.00398244i | ||||
\(229\) | 12.8723 | − | 4.68514i | 0.850627 | − | 0.309603i | 0.120331 | − | 0.992734i | \(-0.461604\pi\) |
0.730296 | + | 0.683131i | \(0.239382\pi\) | |||||||
\(230\) | −2.60056 | + | 0.946527i | −0.171476 | + | 0.0624122i | ||||
\(231\) | −4.95939 | + | 6.71034i | −0.326304 | + | 0.441508i | ||||
\(232\) | 3.50055 | + | 19.8526i | 0.229822 | + | 1.30339i | ||||
\(233\) | −6.27380 | + | 10.8665i | −0.411010 | + | 0.711890i | −0.995000 | − | 0.0998703i | \(-0.968157\pi\) |
0.583990 | + | 0.811761i | \(0.301491\pi\) | |||||||
\(234\) | −16.6950 | + | 2.06948i | −1.09139 | + | 0.135286i | ||||
\(235\) | −1.96301 | − | 3.40003i | −0.128053 | − | 0.221794i | ||||
\(236\) | −6.77053 | + | 5.68115i | −0.440724 | + | 0.369811i | ||||
\(237\) | −3.42787 | + | 11.5969i | −0.222664 | + | 0.753301i | ||||
\(238\) | 1.02580 | − | 5.81763i | 0.0664930 | − | 0.377101i | ||||
\(239\) | 19.6428 | + | 16.4822i | 1.27059 | + | 1.06615i | 0.994470 | + | 0.105023i | \(0.0334917\pi\) |
0.276116 | + | 0.961124i | \(0.410953\pi\) | |||||||
\(240\) | 0.179657 | + | 2.90977i | 0.0115968 | + | 0.187825i | ||||
\(241\) | 5.45464 | + | 1.98533i | 0.351364 | + | 0.127886i | 0.511672 | − | 0.859181i | \(-0.329026\pi\) |
−0.160307 | + | 0.987067i | \(0.551249\pi\) | |||||||
\(242\) | 14.0691 | 0.904398 | ||||||||
\(243\) | 4.73047 | + | 14.8534i | 0.303460 | + | 0.952844i | ||||
\(244\) | −5.51785 | −0.353244 | ||||||||
\(245\) | 0.717346 | + | 0.261093i | 0.0458295 | + | 0.0166806i | ||||
\(246\) | 0.409450 | + | 6.63155i | 0.0261056 | + | 0.422812i | ||||
\(247\) | 1.71014 | + | 1.43498i | 0.108814 | + | 0.0913054i | ||||
\(248\) | −2.62609 | + | 14.8933i | −0.166757 | + | 0.945726i | ||||
\(249\) | 2.66228 | − | 9.00683i | 0.168715 | − | 0.570785i | ||||
\(250\) | 6.34660 | − | 5.32543i | 0.401394 | − | 0.336810i | ||||
\(251\) | −11.9994 | − | 20.7835i | −0.757393 | − | 1.31184i | −0.944176 | − | 0.329442i | \(-0.893139\pi\) |
0.186783 | − | 0.982401i | \(-0.440194\pi\) | |||||||
\(252\) | 2.00029 | − | 0.247952i | 0.126007 | − | 0.0156195i | ||||
\(253\) | 7.57718 | − | 13.1241i | 0.476373 | − | 0.825102i | ||||
\(254\) | 3.77839 | + | 21.4283i | 0.237077 | + | 1.34453i | ||||
\(255\) | 4.02833 | − | 5.45056i | 0.252264 | − | 0.341327i | ||||
\(256\) | 13.2509 | − | 4.82294i | 0.828183 | − | 0.301434i | ||||
\(257\) | −8.95638 | + | 3.25986i | −0.558684 | + | 0.203344i | −0.605901 | − | 0.795540i | \(-0.707187\pi\) |
0.0472168 | + | 0.998885i | \(0.484965\pi\) | |||||||
\(258\) | −5.20853 | − | 0.590389i | −0.324269 | − | 0.0367560i | ||||
\(259\) | −1.47363 | − | 8.35736i | −0.0915668 | − | 0.519301i | ||||
\(260\) | −1.24782 | + | 2.16129i | −0.0773865 | + | 0.134037i | ||||
\(261\) | −19.1422 | − | 4.39602i | −1.18487 | − | 0.272107i | ||||
\(262\) | −2.32116 | − | 4.02037i | −0.143402 | − | 0.248379i | ||||
\(263\) | 0.924366 | − | 0.775635i | 0.0569989 | − | 0.0478277i | −0.613843 | − | 0.789428i | \(-0.710377\pi\) |
0.670842 | + | 0.741600i | \(0.265933\pi\) | |||||||
\(264\) | −17.6967 | − | 18.6269i | −1.08916 | − | 1.14640i | ||||
\(265\) | −0.613842 | + | 3.48127i | −0.0377080 | + | 0.213853i | ||||
\(266\) | 0.405039 | + | 0.339868i | 0.0248345 | + | 0.0208386i | ||||
\(267\) | 3.45978 | − | 2.29285i | 0.211735 | − | 0.140320i | ||||
\(268\) | 7.32043 | + | 2.66442i | 0.447166 | + | 0.162755i | ||||
\(269\) | −19.7966 | −1.20702 | −0.603511 | − | 0.797355i | \(-0.706232\pi\) | ||||
−0.603511 | + | 0.797355i | \(0.706232\pi\) | |||||||
\(270\) | −4.31179 | − | 1.51848i | −0.262407 | − | 0.0924117i | ||||
\(271\) | −1.13961 | −0.0692265 | −0.0346132 | − | 0.999401i | \(-0.511020\pi\) | ||||
−0.0346132 | + | 0.999401i | \(0.511020\pi\) | |||||||
\(272\) | 10.6204 | + | 3.86550i | 0.643956 | + | 0.234381i | ||||
\(273\) | −7.54454 | − | 3.75613i | −0.456616 | − | 0.227331i | ||||
\(274\) | 12.2932 | + | 10.3152i | 0.742659 | + | 0.623165i | ||||
\(275\) | −3.69523 | + | 20.9567i | −0.222831 | + | 1.26374i | ||||
\(276\) | −3.55905 | + | 0.856627i | −0.214229 | + | 0.0515629i | ||||
\(277\) | 1.00737 | − | 0.845285i | 0.0605271 | − | 0.0507882i | −0.612022 | − | 0.790841i | \(-0.709644\pi\) |
0.672549 | + | 0.740052i | \(0.265199\pi\) | |||||||
\(278\) | −0.756095 | − | 1.30959i | −0.0453476 | − | 0.0785443i | ||||
\(279\) | −12.3664 | − | 8.01051i | −0.740356 | − | 0.479577i | ||||
\(280\) | −1.17530 | + | 2.03568i | −0.0702375 | + | 0.121655i | ||||
\(281\) | −3.84260 | − | 21.7925i | −0.229230 | − | 1.30003i | −0.854430 | − | 0.519566i | \(-0.826094\pi\) |
0.625200 | − | 0.780465i | \(-0.285017\pi\) | |||||||
\(282\) | 4.09890 | + | 9.41195i | 0.244086 | + | 0.560474i | ||||
\(283\) | −10.0711 | + | 3.66559i | −0.598666 | + | 0.217897i | −0.623537 | − | 0.781794i | \(-0.714305\pi\) |
0.0248707 | + | 0.999691i | \(0.492083\pi\) | |||||||
\(284\) | 1.77378 | − | 0.645604i | 0.105255 | − | 0.0383095i | ||||
\(285\) | 0.242215 | + | 0.556178i | 0.0143476 | + | 0.0329451i | ||||
\(286\) | 4.69101 | + | 26.6040i | 0.277385 | + | 1.57313i | ||||
\(287\) | −1.66429 | + | 2.88264i | −0.0982402 | + | 0.170157i | ||||
\(288\) | −0.555433 | + | 10.8379i | −0.0327292 | + | 0.638631i | ||||
\(289\) | −4.63764 | − | 8.03263i | −0.272802 | − | 0.472508i | ||||
\(290\) | 4.41212 | − | 3.70221i | 0.259089 | − | 0.217401i | ||||
\(291\) | −18.8803 | + | 4.54430i | −1.10678 | + | 0.266392i | ||||
\(292\) | 1.88851 | − | 10.7103i | 0.110517 | − | 0.626772i | ||||
\(293\) | 19.5534 | + | 16.4072i | 1.14232 | + | 0.958521i | 0.999512 | − | 0.0312294i | \(-0.00994223\pi\) |
0.142809 | + | 0.989750i | \(0.454387\pi\) | |||||||
\(294\) | −1.78689 | − | 0.889621i | −0.104213 | − | 0.0518838i | ||||
\(295\) | 9.43656 | + | 3.43463i | 0.549418 | + | 0.199972i | ||||
\(296\) | 26.1308 | 1.51882 | ||||||||
\(297\) | 23.4319 | − | 8.80714i | 1.35965 | − | 0.511042i | ||||
\(298\) | −4.28810 | −0.248403 | ||||||||
\(299\) | 14.3833 | + | 5.23511i | 0.831810 | + | 0.302754i | ||||
\(300\) | 4.28486 | − | 2.83965i | 0.247386 | − | 0.163947i | ||||
\(301\) | −2.01169 | − | 1.68800i | −0.115952 | − | 0.0972950i | ||||
\(302\) | −4.19102 | + | 23.7685i | −0.241166 | + | 1.36772i | ||||
\(303\) | 0.928217 | + | 0.977006i | 0.0533247 | + | 0.0561275i | ||||
\(304\) | −0.774920 | + | 0.650235i | −0.0444447 | + | 0.0372935i | ||||
\(305\) | 3.13472 | + | 5.42950i | 0.179494 | + | 0.310892i | ||||
\(306\) | −12.0715 | + | 12.9751i | −0.690080 | + | 0.741737i | ||||
\(307\) | 13.5342 | − | 23.4419i | 0.772438 | − | 1.33790i | −0.163785 | − | 0.986496i | \(-0.552370\pi\) |
0.936223 | − | 0.351406i | \(-0.114296\pi\) | |||||||
\(308\) | −0.562048 | − | 3.18753i | −0.0320256 | − | 0.181626i | ||||
\(309\) | −4.99152 | − | 0.565791i | −0.283958 | − | 0.0321867i | ||||
\(310\) | 4.06026 | − | 1.47781i | 0.230607 | − | 0.0839341i | ||||
\(311\) | 14.0737 | − | 5.12241i | 0.798047 | − | 0.290465i | 0.0893699 | − | 0.995999i | \(-0.471515\pi\) |
0.708677 | + | 0.705533i | \(0.249292\pi\) | |||||||
\(312\) | 15.4241 | − | 20.8697i | 0.873218 | − | 1.18151i | ||||
\(313\) | −2.99939 | − | 17.0104i | −0.169535 | − | 0.961484i | −0.944264 | − | 0.329189i | \(-0.893225\pi\) |
0.774728 | − | 0.632294i | \(-0.217887\pi\) | |||||||
\(314\) | −6.79281 | + | 11.7655i | −0.383340 | + | 0.663965i | ||||
\(315\) | −1.38036 | − | 1.82740i | −0.0777745 | − | 0.102962i | ||||
\(316\) | −2.34544 | − | 4.06242i | −0.131941 | − | 0.228529i | ||||
\(317\) | 19.8518 | − | 16.6576i | 1.11499 | − | 0.935585i | 0.116646 | − | 0.993173i | \(-0.462786\pi\) |
0.998340 | + | 0.0575884i | \(0.0183411\pi\) | |||||||
\(318\) | 2.62011 | − | 8.86413i | 0.146928 | − | 0.497076i | ||||
\(319\) | −5.47671 | + | 31.0600i | −0.306637 | + | 1.73902i | ||||
\(320\) | −5.01662 | − | 4.20944i | −0.280438 | − | 0.235315i | ||||
\(321\) | 1.53099 | + | 24.7963i | 0.0854517 | + | 1.38400i | ||||
\(322\) | 3.40663 | + | 1.23991i | 0.189844 | + | 0.0690975i | ||||
\(323\) | 2.35177 | 0.130856 | ||||||||
\(324\) | −5.44095 | − | 2.63818i | −0.302275 | − | 0.146565i | ||||
\(325\) | −21.4935 | −1.19225 | ||||||||
\(326\) | −10.3435 | − | 3.76472i | −0.572873 | − | 0.208509i | ||||
\(327\) | 1.23429 | + | 19.9909i | 0.0682564 | + | 1.10550i | ||||
\(328\) | −7.85145 | − | 6.58815i | −0.433524 | − | 0.363770i | ||||
\(329\) | −0.893059 | + | 5.06479i | −0.0492359 | + | 0.279231i | ||||
\(330\) | −2.08083 | + | 7.03971i | −0.114546 | + | 0.387523i | ||||
\(331\) | −18.3511 | + | 15.3984i | −1.00867 | + | 0.846374i | −0.988162 | − | 0.153416i | \(-0.950973\pi\) |
−0.0205071 | + | 0.999790i | \(0.506528\pi\) | |||||||
\(332\) | 1.82160 | + | 3.15511i | 0.0999734 | + | 0.173159i | ||||
\(333\) | −9.92048 | + | 23.4465i | −0.543639 | + | 1.28486i | ||||
\(334\) | 10.2149 | − | 17.6927i | 0.558933 | − | 0.968101i | ||||
\(335\) | −1.53702 | − | 8.71688i | −0.0839765 | − | 0.476254i | ||||
\(336\) | 2.26981 | − | 3.07118i | 0.123828 | − | 0.167547i | ||||
\(337\) | 4.46230 | − | 1.62414i | 0.243077 | − | 0.0884728i | −0.217609 | − | 0.976036i | \(-0.569826\pi\) |
0.460686 | + | 0.887563i | \(0.347604\pi\) | |||||||
\(338\) | −11.5617 | + | 4.20812i | −0.628874 | + | 0.228891i | ||||
\(339\) | −9.32354 | − | 1.05683i | −0.506385 | − | 0.0573989i | ||||
\(340\) | 0.456531 | + | 2.58912i | 0.0247589 | + | 0.140415i | ||||
\(341\) | −11.8302 | + | 20.4906i | −0.640643 | + | 1.10963i | ||||
\(342\) | −0.465519 | − | 1.51637i | −0.0251724 | − | 0.0819961i | ||||
\(343\) | −0.500000 | − | 0.866025i | −0.0269975 | − | 0.0467610i | ||||
\(344\) | 6.19435 | − | 5.19768i | 0.333977 | − | 0.280240i | ||||
\(345\) | 2.86482 | + | 3.01540i | 0.154237 | + | 0.162344i | ||||
\(346\) | 1.68958 | − | 9.58209i | 0.0908324 | − | 0.515136i | ||||
\(347\) | −19.7076 | − | 16.5367i | −1.05796 | − | 0.887735i | −0.0640537 | − | 0.997946i | \(-0.520403\pi\) |
−0.993908 | + | 0.110211i | \(0.964847\pi\) | |||||||
\(348\) | 6.35060 | − | 4.20865i | 0.340428 | − | 0.225607i | ||||
\(349\) | 28.4546 | + | 10.3566i | 1.52314 | + | 0.554378i | 0.961930 | − | 0.273296i | \(-0.0881137\pi\) |
0.561210 | + | 0.827673i | \(0.310336\pi\) | |||||||
\(350\) | −5.09064 | −0.272106 | ||||||||
\(351\) | 12.8701 | + | 21.7627i | 0.686955 | + | 1.16161i | ||||
\(352\) | 17.4267 | 0.928844 | ||||||||
\(353\) | −3.94210 | − | 1.43481i | −0.209817 | − | 0.0763671i | 0.234974 | − | 0.972002i | \(-0.424500\pi\) |
−0.444790 | + | 0.895635i | \(0.646722\pi\) | |||||||
\(354\) | −23.5062 | − | 11.7028i | −1.24934 | − | 0.621997i | ||||
\(355\) | −1.64296 | − | 1.37861i | −0.0871993 | − | 0.0731689i | ||||
\(356\) | −0.279577 | + | 1.58556i | −0.0148175 | + | 0.0840345i | ||||
\(357\) | −8.63188 | + | 2.07761i | −0.456848 | + | 0.109959i | ||||
\(358\) | 5.43351 | − | 4.55925i | 0.287170 | − | 0.240964i | ||||
\(359\) | 8.55803 | + | 14.8229i | 0.451675 | + | 0.782325i | 0.998490 | − | 0.0549288i | \(-0.0174932\pi\) |
−0.546815 | + | 0.837254i | \(0.684160\pi\) | |||||||
\(360\) | 6.27949 | − | 3.20871i | 0.330958 | − | 0.169114i | ||||
\(361\) | 9.39475 | − | 16.2722i | 0.494461 | − | 0.856431i | ||||
\(362\) | −3.82332 | − | 21.6831i | −0.200949 | − | 1.13964i | ||||
\(363\) | −8.44274 | − | 19.3863i | −0.443129 | − | 1.01752i | ||||
\(364\) | 3.07203 | − | 1.11813i | 0.161018 | − | 0.0586058i | ||||
\(365\) | −11.6117 | + | 4.22630i | −0.607783 | + | 0.221215i | ||||
\(366\) | −6.54552 | − | 15.0299i | −0.342140 | − | 0.785626i | ||||
\(367\) | −0.547820 | − | 3.10684i | −0.0285960 | − | 0.162176i | 0.967166 | − | 0.254146i | \(-0.0817945\pi\) |
−0.995762 | + | 0.0919707i | \(0.970683\pi\) | |||||||
\(368\) | −3.46792 | + | 6.00661i | −0.180778 | + | 0.313116i | ||||
\(369\) | 8.89214 | − | 4.54372i | 0.462906 | − | 0.236537i | ||||
\(370\) | −3.73294 | − | 6.46564i | −0.194066 | − | 0.336133i | ||||
\(371\) | 3.54730 | − | 2.97654i | 0.184167 | − | 0.154534i | ||||
\(372\) | 5.55674 | − | 1.33745i | 0.288103 | − | 0.0693436i | ||||
\(373\) | −4.32403 | + | 24.5228i | −0.223890 | + | 1.26974i | 0.640907 | + | 0.767619i | \(0.278558\pi\) |
−0.864797 | + | 0.502123i | \(0.832553\pi\) | |||||||
\(374\) | 21.8006 | + | 18.2928i | 1.12728 | + | 0.945900i | ||||
\(375\) | −11.1466 | − | 5.54946i | −0.575609 | − | 0.286573i | ||||
\(376\) | −14.8810 | − | 5.41623i | −0.767427 | − | 0.279321i | ||||
\(377\) | −31.8556 | −1.64065 | ||||||||
\(378\) | 3.04823 | + | 5.15441i | 0.156784 | + | 0.265114i | ||||
\(379\) | 15.2324 | 0.782438 | 0.391219 | − | 0.920298i | \(-0.372054\pi\) | ||||
0.391219 | + | 0.920298i | \(0.372054\pi\) | |||||||
\(380\) | −0.221123 | − | 0.0804822i | −0.0113434 | − | 0.00412865i | ||||
\(381\) | 27.2595 | − | 18.0653i | 1.39654 | − | 0.925513i | ||||
\(382\) | 4.57713 | + | 3.84067i | 0.234186 | + | 0.196506i | ||||
\(383\) | 4.41350 | − | 25.0302i | 0.225519 | − | 1.27898i | −0.636170 | − | 0.771549i | \(-0.719482\pi\) |
0.861690 | − | 0.507436i | \(-0.169407\pi\) | |||||||
\(384\) | 3.16329 | + | 3.32955i | 0.161426 | + | 0.169910i | ||||
\(385\) | −2.81719 | + | 2.36390i | −0.143577 | + | 0.120476i | ||||
\(386\) | −12.1875 | − | 21.1094i | −0.620329 | − | 1.07444i | ||||
\(387\) | 2.31207 | + | 7.53130i | 0.117529 | + | 0.382838i | ||||
\(388\) | 3.76644 | − | 6.52367i | 0.191212 | − | 0.331189i | ||||
\(389\) | 1.36291 | + | 7.72944i | 0.0691023 | + | 0.391898i | 0.999668 | + | 0.0257731i | \(0.00820473\pi\) |
−0.930566 | + | 0.366125i | \(0.880684\pi\) | |||||||
\(390\) | −7.36729 | − | 0.835084i | −0.373057 | − | 0.0422861i | ||||
\(391\) | 15.1523 | − | 5.51497i | 0.766283 | − | 0.278904i | ||||
\(392\) | 2.89349 | − | 1.05314i | 0.146143 | − | 0.0531917i | ||||
\(393\) | −4.14690 | + | 5.61099i | −0.209183 | + | 0.283037i | ||||
\(394\) | 0.0712880 | + | 0.404294i | 0.00359144 | + | 0.0203680i | ||||
\(395\) | −2.66491 | + | 4.61577i | −0.134086 | + | 0.232244i | ||||
\(396\) | −3.78371 | + | 8.94258i | −0.190139 | + | 0.449382i | ||||
\(397\) | −8.17451 | − | 14.1587i | −0.410267 | − | 0.710603i | 0.584652 | − | 0.811284i | \(-0.301231\pi\) |
−0.994919 | + | 0.100681i | \(0.967898\pi\) | |||||||
\(398\) | 5.32255 | − | 4.46615i | 0.266795 | − | 0.223868i | ||||
\(399\) | 0.225256 | − | 0.762068i | 0.0112769 | − | 0.0381511i | ||||
\(400\) | 1.69123 | − | 9.59144i | 0.0845615 | − | 0.479572i | ||||
\(401\) | 17.3234 | + | 14.5360i | 0.865088 | + | 0.725895i | 0.963058 | − | 0.269294i | \(-0.0867904\pi\) |
−0.0979698 | + | 0.995189i | \(0.531235\pi\) | |||||||
\(402\) | 1.42629 | + | 23.1005i | 0.0711368 | + | 1.15215i | ||||
\(403\) | −22.4567 | − | 8.17357i | −1.11865 | − | 0.407154i | ||||
\(404\) | −0.522753 | −0.0260079 | ||||||||
\(405\) | 0.495099 | + | 6.85259i | 0.0246017 | + | 0.340508i | ||||
\(406\) | −7.54486 | −0.374445 | ||||||||
\(407\) | 38.4169 | + | 13.9826i | 1.90426 | + | 0.693093i | ||||
\(408\) | −1.68472 | − | 27.2862i | −0.0834063 | − | 1.35087i | ||||
\(409\) | −6.76666 | − | 5.67790i | −0.334590 | − | 0.280754i | 0.459977 | − | 0.887931i | \(-0.347858\pi\) |
−0.794567 | + | 0.607177i | \(0.792302\pi\) | |||||||
\(410\) | −0.508503 | + | 2.88387i | −0.0251132 | + | 0.142424i | ||||
\(411\) | 6.83667 | − | 23.1293i | 0.337228 | − | 1.14088i | ||||
\(412\) | 1.49273 | − | 1.25255i | 0.0735417 | − | 0.0617088i | ||||
\(413\) | −6.57741 | − | 11.3924i | −0.323653 | − | 0.560584i | ||||
\(414\) | −6.55524 | − | 8.67821i | −0.322172 | − | 0.426511i | ||||
\(415\) | 2.06973 | − | 3.58487i | 0.101599 | − | 0.175974i | ||||
\(416\) | 3.05647 | + | 17.3341i | 0.149856 | + | 0.849876i | ||||
\(417\) | −1.35081 | + | 1.82772i | −0.0661495 | + | 0.0895040i | ||||
\(418\) | −2.39358 | + | 0.871191i | −0.117074 | + | 0.0426114i | ||||
\(419\) | −8.21095 | + | 2.98854i | −0.401131 | + | 0.146000i | −0.534704 | − | 0.845039i | \(-0.679577\pi\) |
0.133573 | + | 0.991039i | \(0.457355\pi\) | |||||||
\(420\) | 0.882703 | + | 0.100055i | 0.0430715 | + | 0.00488217i | ||||
\(421\) | 0.797746 | + | 4.52424i | 0.0388797 | + | 0.220498i | 0.998057 | − | 0.0623076i | \(-0.0198460\pi\) |
−0.959177 | + | 0.282806i | \(0.908735\pi\) | |||||||
\(422\) | −4.43713 | + | 7.68534i | −0.215996 | + | 0.374117i | ||||
\(423\) | 10.5093 | − | 11.2960i | 0.510982 | − | 0.549232i | ||||
\(424\) | 7.12934 | + | 12.3484i | 0.346231 | + | 0.599690i | ||||
\(425\) | −17.3452 | + | 14.5543i | −0.841366 | + | 0.705990i | ||||
\(426\) | 3.86268 | + | 4.06571i | 0.187147 | + | 0.196984i | ||||
\(427\) | 1.42612 | − | 8.08794i | 0.0690149 | − | 0.391403i | ||||
\(428\) | −7.38229 | − | 6.19447i | −0.356836 | − | 0.299421i | ||||
\(429\) | 33.8436 | − | 22.4287i | 1.63398 | − | 1.08287i | ||||
\(430\) | −2.17098 | − | 0.790171i | −0.104694 | − | 0.0381054i | ||||
\(431\) | 9.45932 | 0.455639 | 0.227820 | − | 0.973703i | \(-0.426840\pi\) | ||||
0.227820 | + | 0.973703i | \(0.426840\pi\) | |||||||
\(432\) | −10.7243 | + | 4.03085i | −0.515972 | + | 0.193934i | ||||
\(433\) | −34.9672 | −1.68042 | −0.840209 | − | 0.542262i | \(-0.817568\pi\) | ||||
−0.840209 | + | 0.542262i | \(0.817568\pi\) | |||||||
\(434\) | −5.31876 | − | 1.93587i | −0.255309 | − | 0.0929248i | ||||
\(435\) | −7.74908 | − | 3.85796i | −0.371540 | − | 0.184975i | ||||
\(436\) | −5.95162 | − | 4.99401i | −0.285031 | − | 0.239169i | ||||
\(437\) | −0.250617 | + | 1.42132i | −0.0119886 | + | 0.0679909i | ||||
\(438\) | 31.4137 | − | 7.56096i | 1.50100 | − | 0.361276i | ||||
\(439\) | −11.2475 | + | 9.43777i | −0.536814 | + | 0.450440i | −0.870447 | − | 0.492263i | \(-0.836170\pi\) |
0.333633 | + | 0.942703i | \(0.391725\pi\) | |||||||
\(440\) | −5.66197 | − | 9.80682i | −0.269924 | − | 0.467522i | ||||
\(441\) | −0.153545 | + | 2.99607i | −0.00731169 | + | 0.142670i | ||||
\(442\) | −14.3721 | + | 24.8932i | −0.683611 | + | 1.18405i | ||||
\(443\) | −5.88587 | − | 33.3805i | −0.279646 | − | 1.58595i | −0.723805 | − | 0.690005i | \(-0.757608\pi\) |
0.444158 | − | 0.895948i | \(-0.353503\pi\) | |||||||
\(444\) | −3.94311 | − | 9.05421i | −0.187131 | − | 0.429694i | ||||
\(445\) | 1.71900 | − | 0.625665i | 0.0814884 | − | 0.0296594i | ||||
\(446\) | 17.5542 | − | 6.38920i | 0.831214 | − | 0.302537i | ||||
\(447\) | 2.57324 | + | 5.90872i | 0.121710 | + | 0.279473i | ||||
\(448\) | 1.48965 | + | 8.44823i | 0.0703794 | + | 0.399142i | ||||
\(449\) | −11.7918 | + | 20.4240i | −0.556489 | + | 0.963867i | 0.441297 | + | 0.897361i | \(0.354518\pi\) |
−0.997786 | + | 0.0665059i | \(0.978815\pi\) | |||||||
\(450\) | 12.8177 | + | 8.30287i | 0.604233 | + | 0.391401i | ||||
\(451\) | −8.01770 | − | 13.8871i | −0.377539 | − | 0.653916i | ||||
\(452\) | 2.78824 | − | 2.33961i | 0.131148 | − | 0.110046i | ||||
\(453\) | 35.2664 | − | 8.48827i | 1.65696 | − | 0.398814i | ||||
\(454\) | −0.289168 | + | 1.63996i | −0.0135713 | + | 0.0769669i | ||||
\(455\) | −2.84546 | − | 2.38762i | −0.133397 | − | 0.111934i | ||||
\(456\) | 2.19046 | + | 1.09054i | 0.102577 | + | 0.0510692i | ||||
\(457\) | −14.5804 | − | 5.30683i | −0.682042 | − | 0.248243i | −0.0223178 | − | 0.999751i | \(-0.507105\pi\) |
−0.659724 | + | 0.751508i | \(0.729327\pi\) | |||||||
\(458\) | −15.7867 | −0.737665 | ||||||||
\(459\) | 25.1228 | + | 8.84747i | 1.17263 | + | 0.412964i | ||||
\(460\) | −1.61341 | −0.0752256 | ||||||||
\(461\) | −14.1885 | − | 5.16421i | −0.660826 | − | 0.240521i | −0.0102333 | − | 0.999948i | \(-0.503257\pi\) |
−0.650593 | + | 0.759427i | \(0.725480\pi\) | |||||||
\(462\) | 8.01569 | − | 5.31213i | 0.372924 | − | 0.247143i | ||||
\(463\) | −19.1382 | − | 16.0588i | −0.889426 | − | 0.746317i | 0.0786688 | − | 0.996901i | \(-0.474933\pi\) |
−0.968095 | + | 0.250584i | \(0.919377\pi\) | |||||||
\(464\) | 2.50658 | − | 14.2155i | 0.116365 | − | 0.659939i | ||||
\(465\) | −4.47285 | − | 4.70795i | −0.207423 | − | 0.218326i | ||||
\(466\) | 11.0773 | − | 9.29498i | 0.513147 | − | 0.430582i | ||||
\(467\) | 0.0378829 | + | 0.0656151i | 0.00175301 | + | 0.00303631i | 0.866901 | − | 0.498481i | \(-0.166109\pi\) |
−0.865148 | + | 0.501517i | \(0.832775\pi\) | |||||||
\(468\) | −9.55873 | − | 2.19517i | −0.441852 | − | 0.101472i | ||||
\(469\) | −5.79745 | + | 10.0415i | −0.267701 | + | 0.463672i | ||||
\(470\) | 0.785676 | + | 4.45579i | 0.0362405 | + | 0.205530i | ||||
\(471\) | 20.2884 | + | 2.29969i | 0.934839 | + | 0.105964i | ||||
\(472\) | 38.0633 | − | 13.8539i | 1.75201 | − | 0.637678i | ||||
\(473\) | 11.8881 | − | 4.32690i | 0.546614 | − | 0.198951i | ||||
\(474\) | 8.28324 | − | 11.2077i | 0.380462 | − | 0.514786i | ||||
\(475\) | −0.351920 | − | 1.99584i | −0.0161472 | − | 0.0915752i | ||||
\(476\) | 1.72198 | − | 2.98255i | 0.0789267 | − | 0.136705i | ||||
\(477\) | −13.7865 | + | 1.70894i | −0.631240 | + | 0.0782472i | ||||
\(478\) | −14.7754 | − | 25.5918i | −0.675812 | − | 1.17054i | ||||
\(479\) | 20.8401 | − | 17.4869i | 0.952208 | − | 0.798997i | −0.0274602 | − | 0.999623i | \(-0.508742\pi\) |
0.979668 | + | 0.200626i | \(0.0642975\pi\) | |||||||
\(480\) | −1.35579 | + | 4.58680i | −0.0618830 | + | 0.209358i | ||||
\(481\) | −7.17040 | + | 40.6654i | −0.326942 | + | 1.85418i | ||||
\(482\) | −5.12454 | − | 4.30000i | −0.233417 | − | 0.195860i | ||||
\(483\) | −0.335767 | − | 5.43817i | −0.0152779 | − | 0.247445i | ||||
\(484\) | 7.70754 | + | 2.80532i | 0.350343 | + | 0.127514i | ||||
\(485\) | −8.55894 | −0.388642 | ||||||||
\(486\) | 0.731757 | − | 17.9500i | 0.0331932 | − | 0.814226i | ||||
\(487\) | 17.3313 | 0.785357 | 0.392678 | − | 0.919676i | \(-0.371549\pi\) | ||||
0.392678 | + | 0.919676i | \(0.371549\pi\) | |||||||
\(488\) | 23.7634 | + | 8.64916i | 1.07572 | + | 0.391529i | ||||
\(489\) | 1.01948 | + | 16.5118i | 0.0461027 | + | 0.746691i | ||||
\(490\) | −0.673934 | − | 0.565498i | −0.0304452 | − | 0.0255466i | ||||
\(491\) | 3.17874 | − | 18.0275i | 0.143454 | − | 0.813571i | −0.825141 | − | 0.564927i | \(-0.808904\pi\) |
0.968595 | − | 0.248643i | \(-0.0799847\pi\) | |||||||
\(492\) | −1.09799 | + | 3.71463i | −0.0495012 | + | 0.167469i | ||||
\(493\) | −25.7074 | + | 21.5711i | −1.15780 | + | 0.971512i | ||||
\(494\) | −1.28638 | − | 2.22807i | −0.0578768 | − | 0.100246i | ||||
\(495\) | 10.9489 | − | 1.35721i | 0.492118 | − | 0.0610019i | ||||
\(496\) | 5.41446 | − | 9.37812i | 0.243116 | − | 0.421090i | ||||
\(497\) | 0.487866 | + | 2.76683i | 0.0218838 | + | 0.124109i | ||||
\(498\) | −6.43324 | + | 8.70454i | −0.288280 | + | 0.390060i | ||||
\(499\) | −5.59466 | + | 2.03629i | −0.250451 | + | 0.0911568i | −0.464195 | − | 0.885733i | \(-0.653656\pi\) |
0.213744 | + | 0.976890i | \(0.431434\pi\) | |||||||
\(500\) | 4.53875 | − | 1.65197i | 0.202979 | − | 0.0738783i | ||||
\(501\) | −30.5092 | − | 3.45823i | −1.36305 | − | 0.154502i | ||||
\(502\) | 4.80263 | + | 27.2371i | 0.214352 | + | 1.21565i | ||||
\(503\) | 12.5120 | − | 21.6714i | 0.557882 | − | 0.966281i | −0.439791 | − | 0.898100i | \(-0.644947\pi\) |
0.997673 | − | 0.0681804i | \(-0.0217194\pi\) | |||||||
\(504\) | −9.00319 | − | 2.06759i | −0.401034 | − | 0.0920979i | ||||
\(505\) | 0.296979 | + | 0.514382i | 0.0132154 | + | 0.0228897i | ||||
\(506\) | −13.3786 | + | 11.2260i | −0.594753 | + | 0.499057i | ||||
\(507\) | 12.7366 | + | 13.4060i | 0.565651 | + | 0.595382i | ||||
\(508\) | −2.20277 | + | 12.4926i | −0.0977323 | + | 0.554267i | ||||
\(509\) | 8.12150 | + | 6.81475i | 0.359979 | + | 0.302058i | 0.804782 | − | 0.593570i | \(-0.202282\pi\) |
−0.444803 | + | 0.895628i | \(0.646726\pi\) | |||||||
\(510\) | −6.51086 | + | 4.31485i | −0.288306 | + | 0.191065i | ||||
\(511\) | 15.2108 | + | 5.53628i | 0.672886 | + | 0.244911i | ||||
\(512\) | −21.5542 | −0.952568 | ||||||||
\(513\) | −1.81011 | + | 1.55142i | −0.0799183 | + | 0.0684967i | ||||
\(514\) | 10.9842 | 0.484491 | ||||||||
\(515\) | −2.08053 | − | 0.757250i | −0.0916789 | − | 0.0333684i | ||||
\(516\) | −2.73569 | − | 1.36199i | −0.120432 | − | 0.0599583i | ||||
\(517\) | −18.9794 | − | 15.9256i | −0.834714 | − | 0.700408i | ||||
\(518\) | −1.69828 | + | 9.63141i | −0.0746180 | + | 0.423180i | ||||
\(519\) | −14.2174 | + | 3.42198i | −0.624074 | + | 0.150208i | ||||
\(520\) | 8.76169 | − | 7.35193i | 0.384226 | − | 0.322404i | ||||
\(521\) | −4.94092 | − | 8.55793i | −0.216466 | − | 0.374930i | 0.737259 | − | 0.675610i | \(-0.236120\pi\) |
−0.953725 | + | 0.300680i | \(0.902786\pi\) | |||||||
\(522\) | 18.9972 | + | 12.3057i | 0.831484 | + | 0.538607i | ||||
\(523\) | −13.1002 | + | 22.6902i | −0.572832 | + | 0.992173i | 0.423442 | + | 0.905923i | \(0.360822\pi\) |
−0.996274 | + | 0.0862502i | \(0.972512\pi\) | |||||||
\(524\) | −0.469968 | − | 2.66532i | −0.0205306 | − | 0.116435i | ||||
\(525\) | 3.05484 | + | 7.01457i | 0.133324 | + | 0.306141i | ||||
\(526\) | −1.30676 | + | 0.475623i | −0.0569776 | + | 0.0207381i | ||||
\(527\) | −23.6572 | + | 8.61052i | −1.03052 | + | 0.375080i | ||||
\(528\) | 7.34577 | + | 16.8674i | 0.319683 | + | 0.734061i | ||||
\(529\) | −2.27558 | − | 12.9054i | −0.0989382 | − | 0.561106i | ||||
\(530\) | 2.03693 | − | 3.52807i | 0.0884788 | − | 0.153250i | ||||
\(531\) | −2.01986 | + | 39.4128i | −0.0876546 | + | 1.71037i | ||||
\(532\) | 0.154126 | + | 0.266954i | 0.00668220 | + | 0.0115739i | ||||
\(533\) | 12.4071 | − | 10.4108i | 0.537411 | − | 0.450941i | ||||
\(534\) | −4.65050 | + | 1.11933i | −0.201247 | + | 0.0484381i | ||||
\(535\) | −1.90137 | + | 10.7832i | −0.0822033 | + | 0.466198i | ||||
\(536\) | −27.3500 | − | 22.9493i | −1.18134 | − | 0.991260i | ||||
\(537\) | −9.54294 | − | 4.75105i | −0.411808 | − | 0.205023i | ||||
\(538\) | 21.4387 | + | 7.80304i | 0.924287 | + | 0.336413i | ||||
\(539\) | 4.81747 | 0.207503 | ||||||||
\(540\) | −2.05937 | − | 1.69162i | −0.0886211 | − | 0.0727959i | ||||
\(541\) | 0.699370 | 0.0300683 | 0.0150341 | − | 0.999887i | \(-0.495214\pi\) | ||||
0.0150341 | + | 0.999887i | \(0.495214\pi\) | |||||||
\(542\) | 1.23414 | + | 0.449189i | 0.0530107 | + | 0.0192943i | ||||
\(543\) | −27.5836 | + | 18.2801i | −1.18373 | + | 0.784475i | ||||
\(544\) | 14.2044 | + | 11.9189i | 0.609008 | + | 0.511018i | ||||
\(545\) | −1.53289 | + | 8.69345i | −0.0656618 | + | 0.372386i | ||||
\(546\) | 6.68981 | + | 7.04143i | 0.286297 | + | 0.301345i | ||||
\(547\) | −20.4253 | + | 17.1389i | −0.873323 | + | 0.732805i | −0.964795 | − | 0.263003i | \(-0.915287\pi\) |
0.0914723 | + | 0.995808i | \(0.470843\pi\) | |||||||
\(548\) | 4.67782 | + | 8.10222i | 0.199827 | + | 0.346110i | ||||
\(549\) | −16.7823 | + | 18.0386i | −0.716252 | + | 0.769868i | ||||
\(550\) | 12.2620 | − | 21.2384i | 0.522854 | − | 0.905609i | ||||
\(551\) | −0.521582 | − | 2.95804i | −0.0222201 | − | 0.126017i | ||||
\(552\) | 16.6703 | + | 1.88958i | 0.709533 | + | 0.0804258i | ||||
\(553\) | 6.56079 | − | 2.38793i | 0.278993 | − | 0.101545i | ||||
\(554\) | −1.42411 | + | 0.518332i | −0.0605044 | + | 0.0220218i | ||||
\(555\) | −6.66913 | + | 9.02371i | −0.283089 | + | 0.383035i | ||||
\(556\) | −0.153087 | − | 0.868202i | −0.00649235 | − | 0.0368200i | ||||
\(557\) | 6.14708 | − | 10.6471i | 0.260460 | − | 0.451130i | −0.705904 | − | 0.708307i | \(-0.749459\pi\) |
0.966364 | + | 0.257177i | \(0.0827924\pi\) | |||||||
\(558\) | 10.2347 | + | 13.5493i | 0.433269 | + | 0.573587i | ||||
\(559\) | 6.38898 | + | 11.0660i | 0.270225 | + | 0.468044i | ||||
\(560\) | 1.28937 | − | 1.08191i | 0.0544858 | − | 0.0457190i | ||||
\(561\) | 12.1240 | − | 41.0171i | 0.511877 | − | 1.73174i | ||||
\(562\) | −4.42839 | + | 25.1147i | −0.186801 | + | 1.05940i | ||||
\(563\) | −8.03544 | − | 6.74253i | −0.338653 | − | 0.284164i | 0.457561 | − | 0.889178i | \(-0.348723\pi\) |
−0.796215 | + | 0.605014i | \(0.793167\pi\) | |||||||
\(564\) | 0.368819 | + | 5.97349i | 0.0155301 | + | 0.251529i | ||||
\(565\) | −3.88616 | − | 1.41445i | −0.163492 | − | 0.0595062i | ||||
\(566\) | 12.3513 | 0.519164 | ||||||||
\(567\) | 5.27322 | − | 7.29336i | 0.221455 | − | 0.306292i | ||||
\(568\) | −8.65100 | −0.362988 | ||||||||
\(569\) | −33.0862 | − | 12.0424i | −1.38705 | − | 0.504844i | −0.462740 | − | 0.886494i | \(-0.653134\pi\) |
−0.924307 | + | 0.381650i | \(0.875356\pi\) | |||||||
\(570\) | −0.0430829 | − | 0.697782i | −0.00180454 | − | 0.0292269i | ||||
\(571\) | 12.0924 | + | 10.1467i | 0.506051 | + | 0.424627i | 0.859737 | − | 0.510737i | \(-0.170627\pi\) |
−0.353686 | + | 0.935364i | \(0.615072\pi\) | |||||||
\(572\) | −2.73482 | + | 15.5099i | −0.114349 | + | 0.648503i | ||||
\(573\) | 2.54550 | − | 8.61173i | 0.106340 | − | 0.359760i | ||||
\(574\) | 2.93856 | − | 2.46575i | 0.122653 | − | 0.102918i | ||||
\(575\) | −6.94768 | − | 12.0337i | −0.289738 | − | 0.501841i | ||||
\(576\) | 10.0283 | − | 23.7014i | 0.417848 | − | 0.987559i | ||||
\(577\) | −17.8703 | + | 30.9522i | −0.743949 | + | 1.28856i | 0.206735 | + | 0.978397i | \(0.433716\pi\) |
−0.950684 | + | 0.310160i | \(0.899617\pi\) | |||||||
\(578\) | 1.85617 | + | 10.5269i | 0.0772065 | + | 0.437860i | ||||
\(579\) | −21.7738 | + | 29.4612i | −0.904887 | + | 1.22436i | ||||
\(580\) | 3.15531 | − | 1.14844i | 0.131017 | − | 0.0476864i | ||||
\(581\) | −5.09549 | + | 1.85461i | −0.211396 | + | 0.0769420i | ||||
\(582\) | 22.2375 | + | 2.52063i | 0.921775 | + | 0.104484i | ||||
\(583\) | 3.87377 | + | 21.9692i | 0.160435 | + | 0.909872i | ||||
\(584\) | −24.9214 | + | 43.1651i | −1.03125 | + | 1.78618i | ||||
\(585\) | 3.27034 | + | 10.6528i | 0.135212 | + | 0.440437i | ||||
\(586\) | −14.7082 | − | 25.4753i | −0.607589 | − | 1.05237i | ||||
\(587\) | 28.0991 | − | 23.5780i | 1.15978 | − | 0.973167i | 0.159873 | − | 0.987138i | \(-0.448892\pi\) |
0.999902 | + | 0.0139705i | \(0.00444710\pi\) | |||||||
\(588\) | −0.801532 | − | 0.843661i | −0.0330546 | − | 0.0347920i | ||||
\(589\) | 0.391288 | − | 2.21910i | 0.0161227 | − | 0.0914366i | ||||
\(590\) | −8.86549 | − | 7.43903i | −0.364986 | − | 0.306260i | ||||
\(591\) | 0.514312 | − | 0.340843i | 0.0211560 | − | 0.0140204i | ||||
\(592\) | −17.5826 | − | 6.39956i | −0.722642 | − | 0.263020i | ||||
\(593\) | 27.9751 | 1.14880 | 0.574400 | − | 0.818575i | \(-0.305235\pi\) | ||||
0.574400 | + | 0.818575i | \(0.305235\pi\) | |||||||
\(594\) | −28.8468 | + | 0.301755i | −1.18360 | + | 0.0123811i | ||||
\(595\) | −3.91306 | −0.160420 | ||||||||
\(596\) | −2.34917 | − | 0.855026i | −0.0962256 | − | 0.0350232i | ||||
\(597\) | −9.34807 | − | 4.65403i | −0.382591 | − | 0.190477i | ||||
\(598\) | −13.5129 | − | 11.3387i | −0.552583 | − | 0.463673i | ||||
\(599\) | 0.876060 | − | 4.96838i | 0.0357948 | − | 0.203003i | −0.961666 | − | 0.274225i | \(-0.911579\pi\) |
0.997460 | + | 0.0712221i | \(0.0226899\pi\) | |||||||
\(600\) | −22.9044 | + | 5.51286i | −0.935068 | + | 0.225062i | ||||
\(601\) | 11.9119 | − | 9.99524i | 0.485895 | − | 0.407714i | −0.366658 | − | 0.930356i | \(-0.619498\pi\) |
0.852552 | + | 0.522642i | \(0.175053\pi\) | |||||||
\(602\) | 1.51320 | + | 2.62094i | 0.0616735 | + | 0.106822i | ||||
\(603\) | 30.9751 | − | 15.8277i | 1.26140 | − | 0.644555i | ||||
\(604\) | −7.03531 | + | 12.1855i | −0.286263 | + | 0.495821i | ||||
\(605\) | −1.61830 | − | 9.17784i | −0.0657933 | − | 0.373132i | ||||
\(606\) | −0.620112 | − | 1.42391i | −0.0251903 | − | 0.0578424i | ||||
\(607\) | −8.52816 | + | 3.10400i | −0.346147 | + | 0.125987i | −0.509243 | − | 0.860623i | \(-0.670074\pi\) |
0.163095 | + | 0.986610i | \(0.447852\pi\) | |||||||
\(608\) | −1.55956 | + | 0.567634i | −0.0632486 | + | 0.0230206i | ||||
\(609\) | 4.52759 | + | 10.3963i | 0.183467 | + | 0.421280i | ||||
\(610\) | −1.25464 | − | 7.11543i | −0.0507990 | − | 0.288095i | ||||
\(611\) | 12.5123 | − | 21.6719i | 0.506192 | − | 0.876749i | ||||
\(612\) | −9.20033 | + | 4.70120i | −0.371901 | + | 0.190035i | ||||
\(613\) | 23.5613 | + | 40.8093i | 0.951630 | + | 1.64827i | 0.741897 | + | 0.670514i | \(0.233926\pi\) |
0.209733 | + | 0.977759i | \(0.432740\pi\) | |||||||
\(614\) | −23.8967 | + | 20.0517i | −0.964391 | + | 0.809221i | ||||
\(615\) | 4.27893 | − | 1.02989i | 0.172543 | − | 0.0415294i | ||||
\(616\) | −2.57588 | + | 14.6085i | −0.103785 | + | 0.588594i | ||||
\(617\) | −18.4706 | − | 15.4987i | −0.743599 | − | 0.623954i | 0.190203 | − | 0.981745i | \(-0.439085\pi\) |
−0.933802 | + | 0.357791i | \(0.883530\pi\) | |||||||
\(618\) | 5.18253 | + | 2.58018i | 0.208472 | + | 0.103790i | ||||
\(619\) | 4.94411 | + | 1.79951i | 0.198721 | + | 0.0723284i | 0.439463 | − | 0.898261i | \(-0.355169\pi\) |
−0.240742 | + | 0.970589i | \(0.577391\pi\) | |||||||
\(620\) | 2.51901 | 0.101166 | ||||||||
\(621\) | −8.02427 | + | 14.2404i | −0.322003 | + | 0.571447i | ||||
\(622\) | −17.2601 | −0.692067 | ||||||||
\(623\) | −2.25182 | − | 0.819594i | −0.0902171 | − | 0.0328364i | ||||
\(624\) | −15.4895 | + | 10.2652i | −0.620076 | + | 0.410935i | ||||
\(625\) | 12.7150 | + | 10.6692i | 0.508601 | + | 0.426767i | ||||
\(626\) | −3.45663 | + | 19.6035i | −0.138155 | + | 0.783515i | ||||
\(627\) | 2.63681 | + | 2.77540i | 0.105304 | + | 0.110839i | ||||
\(628\) | −6.06731 | + | 5.09108i | −0.242112 | + | 0.203156i | ||||
\(629\) | 21.7501 | + | 37.6723i | 0.867234 | + | 1.50209i | ||||
\(630\) | 0.774566 | + | 2.52306i | 0.0308594 | + | 0.100521i | ||||
\(631\) | −3.54388 | + | 6.13818i | −0.141080 | + | 0.244357i | −0.927903 | − | 0.372821i | \(-0.878391\pi\) |
0.786824 | + | 0.617178i | \(0.211724\pi\) | |||||||
\(632\) | 3.73316 | + | 21.1718i | 0.148497 | + | 0.842169i | ||||
\(633\) | 13.2526 | + | 1.50218i | 0.526743 | + | 0.0597064i | ||||
\(634\) | −28.0642 | + | 10.2145i | −1.11457 | + | 0.405670i | ||||
\(635\) | 13.5439 | − | 4.92959i | 0.537474 | − | 0.195625i | ||||
\(636\) | 3.20285 | − | 4.33364i | 0.127001 | − | 0.171840i | ||||
\(637\) | 0.844940 | + | 4.79189i | 0.0334777 | + | 0.189862i | ||||
\(638\) | 18.1736 | − | 31.4776i | 0.719499 | − | 1.24621i | ||||
\(639\) | 3.28432 | − | 7.76231i | 0.129926 | − | 0.307072i | ||||
\(640\) | 1.01208 | + | 1.75297i | 0.0400059 | + | 0.0692922i | ||||
\(641\) | −15.4468 | + | 12.9614i | −0.610111 | + | 0.511944i | −0.894678 | − | 0.446713i | \(-0.852595\pi\) |
0.284567 | + | 0.958656i | \(0.408150\pi\) | |||||||
\(642\) | 8.11574 | − | 27.4565i | 0.320303 | − | 1.08362i | ||||
\(643\) | 4.86625 | − | 27.5979i | 0.191906 | − | 1.08835i | −0.724850 | − | 0.688906i | \(-0.758091\pi\) |
0.916756 | − | 0.399447i | \(-0.130798\pi\) | |||||||
\(644\) | 1.61903 | + | 1.35853i | 0.0637988 | + | 0.0535336i | ||||
\(645\) | 0.213978 | + | 3.46564i | 0.00842537 | + | 0.136459i | ||||
\(646\) | −2.54684 | − | 0.926975i | −0.100204 | − | 0.0364713i | ||||
\(647\) | 17.9310 | 0.704939 | 0.352469 | − | 0.935823i | \(-0.385342\pi\) | ||||
0.352469 | + | 0.935823i | \(0.385342\pi\) | |||||||
\(648\) | 19.2969 | + | 19.8903i | 0.758052 | + | 0.781363i | ||||
\(649\) | 63.3730 | 2.48761 | ||||||||
\(650\) | 23.2763 | + | 8.47188i | 0.912971 | + | 0.332294i | ||||
\(651\) | 0.524232 | + | 8.49060i | 0.0205463 | + | 0.332773i | ||||
\(652\) | −4.91585 | − | 4.12489i | −0.192519 | − | 0.161543i | ||||
\(653\) | 7.95046 | − | 45.0893i | 0.311126 | − | 1.76448i | −0.282042 | − | 0.959402i | \(-0.591012\pi\) |
0.593167 | − | 0.805079i | \(-0.297877\pi\) | |||||||
\(654\) | 6.54294 | − | 22.1356i | 0.255849 | − | 0.865569i | ||||
\(655\) | −2.35565 | + | 1.97663i | −0.0920429 | + | 0.0772332i | ||||
\(656\) | 3.66954 | + | 6.35582i | 0.143271 | + | 0.248153i | ||||
\(657\) | −29.2695 | − | 38.7487i | −1.14191 | − | 1.51173i | ||||
\(658\) | 2.96347 | − | 5.13288i | 0.115528 | − | 0.200100i | ||||
\(659\) | −6.30224 | − | 35.7418i | −0.245501 | − | 1.39230i | −0.819327 | − | 0.573326i | \(-0.805653\pi\) |
0.573827 | − | 0.818977i | \(-0.305458\pi\) | |||||||
\(660\) | −2.54363 | + | 3.44168i | −0.0990108 | + | 0.133967i | ||||
\(661\) | −28.0732 | + | 10.2178i | −1.09192 | + | 0.397427i | −0.824332 | − | 0.566106i | \(-0.808449\pi\) |
−0.267589 | + | 0.963533i | \(0.586227\pi\) | |||||||
\(662\) | 25.9427 | − | 9.44237i | 1.00829 | − | 0.366988i | ||||
\(663\) | 42.9257 | + | 4.86565i | 1.66710 | + | 0.188966i | ||||
\(664\) | −2.89939 | − | 16.4432i | −0.112518 | − | 0.638121i | ||||
\(665\) | 0.175120 | − | 0.303316i | 0.00679084 | − | 0.0117621i | ||||
\(666\) | 19.9850 | − | 21.4810i | 0.774403 | − | 0.832372i | ||||
\(667\) | −10.2972 | − | 17.8352i | −0.398708 | − | 0.690583i | ||||
\(668\) | 9.12389 | − | 7.65585i | 0.353014 | − | 0.296214i | ||||
\(669\) | −19.3380 | − | 20.3544i | −0.747649 | − | 0.786947i | ||||
\(670\) | −1.77134 | + | 10.0457i | −0.0684326 | + | 0.388101i | ||||
\(671\) | 30.3082 | + | 25.4316i | 1.17003 | + | 0.981775i | ||||
\(672\) | 5.22271 | − | 3.46118i | 0.201470 | − | 0.133518i | ||||
\(673\) | 24.0186 | + | 8.74206i | 0.925850 | + | 0.336982i | 0.760563 | − | 0.649264i | \(-0.224923\pi\) |
0.165287 | + | 0.986246i | \(0.447145\pi\) | |||||||
\(674\) | −5.47260 | −0.210797 | ||||||||
\(675\) | 3.74904 | − | 22.6444i | 0.144300 | − | 0.871585i | ||||
\(676\) | −7.17297 | −0.275883 | ||||||||
\(677\) | −14.9981 | − | 5.45886i | −0.576423 | − | 0.209801i | 0.0373242 | − | 0.999303i | \(-0.488117\pi\) |
−0.613748 | + | 0.789502i | \(0.710339\pi\) | |||||||
\(678\) | 9.68032 | + | 4.81945i | 0.371771 | + | 0.185090i | ||||
\(679\) | 8.58878 | + | 7.20684i | 0.329607 | + | 0.276573i | ||||
\(680\) | 2.09229 | − | 11.8660i | 0.0802357 | − | 0.455039i | ||||
\(681\) | 2.43328 | − | 0.585666i | 0.0932434 | − | 0.0224428i | ||||
\(682\) | 20.8881 | − | 17.5272i | 0.799845 | − | 0.671150i | ||||
\(683\) | 19.9870 | + | 34.6185i | 0.764781 | + | 1.32464i | 0.940362 | + | 0.340175i | \(0.110486\pi\) |
−0.175581 | + | 0.984465i | \(0.556180\pi\) | |||||||
\(684\) | 0.0473306 | − | 0.923543i | 0.00180973 | − | 0.0353126i | ||||
\(685\) | 5.31499 | − | 9.20584i | 0.203075 | − | 0.351737i | ||||
\(686\) | 0.200120 | + | 1.13494i | 0.00764062 | + | 0.0433321i | ||||
\(687\) | 9.47345 | + | 21.7531i | 0.361435 | + | 0.829931i | ||||
\(688\) | −5.44093 | + | 1.98033i | −0.207433 | + | 0.0754996i | ||||
\(689\) | −21.1731 | + | 7.70639i | −0.806632 | + | 0.293590i | ||||
\(690\) | −1.91390 | − | 4.39471i | −0.0728608 | − | 0.167304i | ||||
\(691\) | −3.65592 | − | 20.7338i | −0.139078 | − | 0.788749i | −0.971933 | − | 0.235258i | \(-0.924406\pi\) |
0.832855 | − | 0.553491i | \(-0.186705\pi\) | |||||||
\(692\) | 2.83623 | − | 4.91250i | 0.107817 | − | 0.186745i | ||||
\(693\) | −12.1299 | − | 7.85734i | −0.460777 | − | 0.298476i | ||||
\(694\) | 14.8242 | + | 25.6763i | 0.562719 | + | 0.974658i | ||||
\(695\) | −0.767330 | + | 0.643866i | −0.0291065 | + | 0.0244232i | ||||
\(696\) | −33.9467 | + | 8.17064i | −1.28675 | + | 0.309707i | ||||
\(697\) | 2.96281 | − | 16.8029i | 0.112225 | − | 0.636457i | ||||
\(698\) | −26.7326 | − | 22.4313i | −1.01184 | − | 0.849038i | ||||
\(699\) | −19.4553 | − | 9.68601i | −0.735866 | − | 0.366358i | ||||
\(700\) | −2.78882 | − | 1.01505i | −0.105408 | − | 0.0383652i | ||||
\(701\) | −37.0712 | −1.40016 | −0.700081 | − | 0.714064i | \(-0.746853\pi\) | ||||
−0.700081 | + | 0.714064i | \(0.746853\pi\) | |||||||
\(702\) | −5.35962 | − | 28.6407i | −0.202286 | − | 1.08097i | ||||
\(703\) | −3.89349 | −0.146846 | ||||||||
\(704\) | −38.8347 | − | 14.1347i | −1.46364 | − | 0.532720i | ||||
\(705\) | 5.66831 | − | 3.75648i | 0.213481 | − | 0.141477i | ||||
\(706\) | 3.70354 | + | 3.10764i | 0.139384 | + | 0.116957i | ||||
\(707\) | 0.135109 | − | 0.766239i | 0.00508128 | − | 0.0288174i | ||||
\(708\) | −10.5440 | − | 11.0982i | −0.396268 | − | 0.417097i | ||||
\(709\) | 7.85092 | − | 6.58771i | 0.294848 | − | 0.247407i | −0.483348 | − | 0.875428i | \(-0.660580\pi\) |
0.778196 | + | 0.628022i | \(0.216135\pi\) | |||||||
\(710\) | 1.23585 | + | 2.14055i | 0.0463804 | + | 0.0803333i | ||||
\(711\) | −20.4142 | − | 4.68814i | −0.765591 | − | 0.175819i | ||||
\(712\) | 3.68938 | − | 6.39019i | 0.138265 | − | 0.239482i | ||||
\(713\) | −2.68283 | − | 15.2151i | −0.100473 | − | 0.569809i | ||||
\(714\) | 10.1668 | + | 1.15241i | 0.380482 | + | 0.0431277i | ||||
\(715\) | 16.8153 | − | 6.12025i | 0.628855 | − | 0.228885i | ||||
\(716\) | 3.88575 | − | 1.41430i | 0.145217 | − | 0.0528548i | ||||
\(717\) | −26.3972 | + | 35.7169i | −0.985821 | + | 1.33387i | ||||
\(718\) | −3.42527 | − | 19.4257i | −0.127830 | − | 0.724959i | ||||
\(719\) | 16.7470 | − | 29.0066i | 0.624557 | − | 1.08177i | −0.364069 | − | 0.931372i | \(-0.618613\pi\) |
0.988626 | − | 0.150393i | \(-0.0480539\pi\) | |||||||
\(720\) | −5.01111 | + | 0.621166i | −0.186753 | + | 0.0231495i | ||||
\(721\) | 1.45016 | + | 2.51174i | 0.0540066 | + | 0.0935422i | ||||
\(722\) | −16.5878 | + | 13.9189i | −0.617336 | + | 0.518006i | ||||
\(723\) | −2.84993 | + | 9.64167i | −0.105990 | + | 0.358578i | ||||
\(724\) | 2.22897 | − | 12.6411i | 0.0828390 | − | 0.469803i | ||||
\(725\) | 22.1532 | + | 18.5887i | 0.822748 | + | 0.690368i | ||||
\(726\) | 1.50171 | + | 24.3221i | 0.0557338 | + | 0.902679i | ||||
\(727\) | −35.7761 | − | 13.0214i | −1.32686 | − | 0.482938i | −0.421212 | − | 0.906962i | \(-0.638395\pi\) |
−0.905651 | + | 0.424024i | \(0.860617\pi\) | |||||||
\(728\) | −14.9827 | −0.555297 | ||||||||
\(729\) | −25.1730 | + | 9.76327i | −0.932332 | + | 0.361603i | ||||
\(730\) | 14.2406 | 0.527070 | ||||||||
\(731\) | 12.6493 | + | 4.60396i | 0.467850 | + | 0.170284i | ||||
\(732\) | −0.588965 | − | 9.53904i | −0.0217688 | − | 0.352573i | ||||
\(733\) | −25.7648 | − | 21.6193i | −0.951645 | − | 0.798525i | 0.0279285 | − | 0.999610i | \(-0.491109\pi\) |
−0.979574 | + | 0.201085i | \(0.935553\pi\) | |||||||
\(734\) | −0.631333 | + | 3.58047i | −0.0233029 | + | 0.132157i | ||||
\(735\) | −0.374798 | + | 1.26799i | −0.0138246 | + | 0.0467704i | ||||
\(736\) | −8.71700 | + | 7.31443i | −0.321313 | + | 0.269613i | ||||
\(737\) | −27.9291 | − | 48.3746i | −1.02878 | − | 1.78190i | ||||
\(738\) | −11.4207 | + | 1.41568i | −0.420400 | + | 0.0521119i | ||||
\(739\) | 24.8350 | − | 43.0155i | 0.913570 | − | 1.58235i | 0.104588 | − | 0.994516i | \(-0.466647\pi\) |
0.808982 | − | 0.587834i | \(-0.200019\pi\) | |||||||
\(740\) | −0.755813 | − | 4.28643i | −0.0277842 | − | 0.157572i | ||||
\(741\) | −2.29819 | + | 3.10959i | −0.0844262 | + | 0.114233i | ||||
\(742\) | −5.01476 | + | 1.82522i | −0.184098 | + | 0.0670061i | ||||
\(743\) | −5.83668 | + | 2.12438i | −0.214127 | + | 0.0779359i | −0.446857 | − | 0.894606i | \(-0.647457\pi\) |
0.232729 | + | 0.972542i | \(0.425234\pi\) | |||||||
\(744\) | −26.0272 | − | 2.95020i | −0.954205 | − | 0.108159i | ||||
\(745\) | 0.493239 | + | 2.79730i | 0.0180709 | + | 0.102485i | ||||
\(746\) | 14.3486 | − | 24.8525i | 0.525339 | − | 0.909913i | ||||
\(747\) | 15.8548 | + | 3.64107i | 0.580097 | + | 0.133220i | ||||
\(748\) | 8.29558 | + | 14.3684i | 0.303316 | + | 0.525359i | ||||
\(749\) | 10.9877 | − | 9.21979i | 0.401482 | − | 0.336884i | ||||
\(750\) | 9.88381 | + | 10.4033i | 0.360906 | + | 0.379875i | ||||
\(751\) | 4.36738 | − | 24.7687i | 0.159368 | − | 0.903821i | −0.795315 | − | 0.606196i | \(-0.792695\pi\) |
0.954683 | − | 0.297625i | \(-0.0961944\pi\) | |||||||
\(752\) | 8.68649 | + | 7.28883i | 0.316764 | + | 0.265796i | ||||
\(753\) | 34.6489 | − | 22.9624i | 1.26268 | − | 0.836796i | ||||
\(754\) | 34.4979 | + | 12.5562i | 1.25634 | + | 0.457270i | ||||
\(755\) | 15.9872 | 0.581833 | ||||||||
\(756\) | 0.642157 | + | 3.43156i | 0.0233550 | + | 0.124805i | ||||
\(757\) | −3.85431 | −0.140087 | −0.0700437 | − | 0.997544i | \(-0.522314\pi\) | ||||
−0.0700437 | + | 0.997544i | \(0.522314\pi\) | |||||||
\(758\) | −16.4959 | − | 6.00401i | −0.599158 | − | 0.218076i | ||||
\(759\) | 23.4971 | + | 11.6983i | 0.852891 | + | 0.424620i | ||||
\(760\) | 0.826141 | + | 0.693215i | 0.0299673 | + | 0.0251455i | ||||
\(761\) | −3.06598 | + | 17.3880i | −0.111142 | + | 0.630316i | 0.877447 | + | 0.479674i | \(0.159245\pi\) |
−0.988588 | + | 0.150642i | \(0.951866\pi\) | |||||||
\(762\) | −36.6411 | + | 8.81915i | −1.32737 | + | 0.319484i | ||||
\(763\) | 8.85833 | − | 7.43302i | 0.320693 | − | 0.269093i | ||||
\(764\) | 1.74170 | + | 3.01671i | 0.0630124 | + | 0.109141i | ||||
\(765\) | 9.85269 | + | 6.38223i | 0.356225 | + | 0.230750i | ||||
\(766\) | −14.6455 | + | 25.3667i | −0.529163 | + | 0.916537i | ||||
\(767\) | 11.1150 | + | 63.0365i | 0.401341 | + | 2.27612i | ||||
\(768\) | 9.75209 | + | 22.3929i | 0.351898 | + | 0.808033i | ||||
\(769\) | 24.4555 | − | 8.90106i | 0.881887 | − | 0.320981i | 0.138916 | − | 0.990304i | \(-0.455638\pi\) |
0.742971 | + | 0.669324i | \(0.233416\pi\) | |||||||
\(770\) | 3.98262 | − | 1.44955i | 0.143524 | − | 0.0522383i | ||||
\(771\) | −6.59149 | − | 15.1355i | −0.237387 | − | 0.545091i | ||||
\(772\) | −2.46762 | − | 13.9946i | −0.0888117 | − | 0.503676i | ||||
\(773\) | 22.8533 | − | 39.5831i | 0.821977 | − | 1.42371i | −0.0822313 | − | 0.996613i | \(-0.526205\pi\) |
0.904208 | − | 0.427092i | \(-0.140462\pi\) | |||||||
\(774\) | 0.464690 | − | 9.06731i | 0.0167030 | − | 0.325918i | ||||
\(775\) | 10.8474 | + | 18.7883i | 0.389650 | + | 0.674894i | ||||
\(776\) | −26.4464 | + | 22.1912i | −0.949372 | + | 0.796617i | ||||
\(777\) | 14.2906 | − | 3.43960i | 0.512671 | − | 0.123395i | ||||
\(778\) | 1.57068 | − | 8.90777i | 0.0563116 | − | 0.319359i | ||||
\(779\) | 1.16987 | + | 0.981634i | 0.0419148 | + | 0.0351707i | ||||
\(780\) | −3.86954 | − | 1.92649i | −0.138552 | − | 0.0689794i | ||||
\(781\) | −12.7185 | − | 4.62915i | −0.455104 | − | 0.165644i | ||||
\(782\) | −18.5829 | −0.664522 | ||||||||
\(783\) | 5.55646 | − | 33.5614i | 0.198572 | − | 1.19939i | ||||
\(784\) | −2.20486 | −0.0787450 | ||||||||
\(785\) | 8.45643 | + | 3.07789i | 0.301823 | + | 0.109855i | ||||
\(786\) | 6.70249 | − | 4.44185i | 0.239070 | − | 0.158436i | ||||
\(787\) | 9.08235 | + | 7.62100i | 0.323751 | + | 0.271659i | 0.790148 | − | 0.612916i | \(-0.210004\pi\) |
−0.466397 | + | 0.884576i | \(0.654448\pi\) | |||||||
\(788\) | −0.0415604 | + | 0.235701i | −0.00148053 | + | 0.00839648i | ||||
\(789\) | 1.43955 | + | 1.51522i | 0.0512494 | + | 0.0539431i | ||||
\(790\) | 4.70531 | − | 3.94822i | 0.167407 | − | 0.140471i | ||||
\(791\) | 2.70871 | + | 4.69162i | 0.0963106 | + | 0.166815i | ||||
\(792\) | 30.3124 | − | 32.5815i | 1.07711 | − | 1.15773i | ||||
\(793\) | −19.9808 | + | 34.6077i | −0.709538 | + | 1.22896i | ||||
\(794\) | 3.27177 | + | 18.5551i | 0.116111 | + | 0.658496i | ||||
\(795\) | −6.08380 | − | 0.689600i | −0.215770 | − | 0.0244576i | ||||
\(796\) | 3.80640 | − | 1.38542i | 0.134914 | − | 0.0491048i | ||||
\(797\) | 12.2707 | − | 4.46616i | 0.434650 | − | 0.158200i | −0.115423 | − | 0.993316i | \(-0.536822\pi\) |
0.550072 | + | 0.835117i | \(0.314600\pi\) | |||||||
\(798\) | −0.544316 | + | 0.736491i | −0.0192686 | + | 0.0260715i | ||||
\(799\) | −4.57777 | − | 25.9618i | −0.161950 | − | 0.918463i | ||||
\(800\) | 7.98944 | − | 13.8381i | 0.282469 | − | 0.489251i | ||||
\(801\) | 4.33308 | + | 5.73639i | 0.153102 | + | 0.202685i | ||||
\(802\) | −13.0307 | − | 22.5699i | −0.460132 | − | 0.796971i | ||||
\(803\) | −59.7365 | + | 50.1248i | −2.10805 | + | 1.76887i | ||||
\(804\) | −3.82477 | + | 12.9397i | −0.134889 | + | 0.456346i | ||||
\(805\) | 0.416995 | − | 2.36490i | 0.0146971 | − | 0.0833517i | ||||
\(806\) | 21.0977 | + | 17.7031i | 0.743134 | + | 0.623563i | ||||
\(807\) | −2.11306 | − | 34.2236i | −0.0743831 | − | 1.20473i | ||||
\(808\) | 2.25130 | + | 0.819407i | 0.0792006 | + | 0.0288266i | ||||
\(809\) | 48.4222 | 1.70243 | 0.851217 | − | 0.524813i | \(-0.175865\pi\) | ||||
0.851217 | + | 0.524813i | \(0.175865\pi\) | |||||||
\(810\) | 2.16485 | − | 7.61613i | 0.0760651 | − | 0.267603i | ||||
\(811\) | −35.4888 | −1.24618 | −0.623090 | − | 0.782150i | \(-0.714123\pi\) | ||||
−0.623090 | + | 0.782150i | \(0.714123\pi\) | |||||||
\(812\) | −4.13333 | − | 1.50441i | −0.145051 | − | 0.0527944i | ||||
\(813\) | −0.121640 | − | 1.97011i | −0.00426610 | − | 0.0690949i | ||||
\(814\) | −36.0921 | − | 30.2848i | −1.26503 | − | 1.06148i | ||||
\(815\) | −1.26612 | + | 7.18050i | −0.0443501 | + | 0.251522i | ||||
\(816\) | −5.54892 | + | 18.7727i | −0.194251 | + | 0.657175i | ||||
\(817\) | −0.922958 | + | 0.774454i | −0.0322902 | + | 0.0270947i | ||||
\(818\) | 5.08992 | + | 8.81600i | 0.177965 | + | 0.308244i | ||||
\(819\) | 5.68814 | − | 13.4436i | 0.198760 | − | 0.469758i | ||||
\(820\) | −0.853604 | + | 1.47849i | −0.0298092 | + | 0.0516310i | ||||
\(821\) | 6.96290 | + | 39.4886i | 0.243007 | + | 1.37816i | 0.825076 | + | 0.565022i | \(0.191132\pi\) |
−0.582069 | + | 0.813139i | \(0.697757\pi\) | |||||||
\(822\) | −16.5204 | + | 22.3530i | −0.576214 | + | 0.779650i | ||||
\(823\) | 4.11925 | − | 1.49928i | 0.143588 | − | 0.0522617i | −0.269226 | − | 0.963077i | \(-0.586768\pi\) |
0.412814 | + | 0.910815i | \(0.364546\pi\) | |||||||
\(824\) | −8.39201 | + | 3.05444i | −0.292350 | + | 0.106407i | ||||
\(825\) | −36.6235 | − | 4.15128i | −1.27507 | − | 0.144529i | ||||
\(826\) | 2.63255 | + | 14.9299i | 0.0915980 | + | 0.519478i | ||||
\(827\) | −16.0259 | + | 27.7578i | −0.557277 | + | 0.965232i | 0.440446 | + | 0.897779i | \(0.354820\pi\) |
−0.997722 | + | 0.0674524i | \(0.978513\pi\) | |||||||
\(828\) | −1.86079 | − | 6.06130i | −0.0646668 | − | 0.210645i | ||||
\(829\) | 7.26816 | + | 12.5888i | 0.252434 | + | 0.437228i | 0.964195 | − | 0.265193i | \(-0.0854357\pi\) |
−0.711762 | + | 0.702421i | \(0.752102\pi\) | |||||||
\(830\) | −3.65441 | + | 3.06642i | −0.126846 | + | 0.106437i | ||||
\(831\) | 1.56882 | + | 1.65128i | 0.0544217 | + | 0.0572822i | ||||
\(832\) | 7.24837 | − | 41.1076i | 0.251292 | − | 1.42515i | ||||
\(833\) | 3.92670 | + | 3.29489i | 0.136052 | + | 0.114161i | ||||
\(834\) | 2.18327 | − | 1.44689i | 0.0756004 | − | 0.0501017i | ||||
\(835\) | −12.7166 | − | 4.62846i | −0.440076 | − | 0.160175i | ||||
\(836\) | −1.48499 | −0.0513596 | ||||||||
\(837\) | 12.5283 | − | 22.2335i | 0.433041 | − | 0.768502i | ||||
\(838\) | 10.0700 | 0.347861 | ||||||||
\(839\) | 45.4242 | + | 16.5331i | 1.56822 | + | 0.570784i | 0.972600 | − | 0.232484i | \(-0.0746854\pi\) |
0.595617 | + | 0.803269i | \(0.296908\pi\) | |||||||
\(840\) | −3.64464 | − | 1.81452i | −0.125752 | − | 0.0626070i | ||||
\(841\) | 10.6180 | + | 8.90957i | 0.366139 | + | 0.307227i | ||||
\(842\) | 0.919359 | − | 5.21394i | 0.0316832 | − | 0.179684i | ||||
\(843\) | 37.2638 | − | 8.96902i | 1.28343 | − | 0.308910i | ||||
\(844\) | −3.96323 | + | 3.32555i | −0.136420 | + | 0.114470i | ||||
\(845\) | 4.07500 | + | 7.05811i | 0.140184 | + | 0.242807i | ||||
\(846\) | −15.8335 | + | 8.09063i | −0.544366 | + | 0.278161i | ||||
\(847\) | −6.10403 | + | 10.5725i | −0.209737 | + | 0.363275i | ||||
\(848\) | −1.77294 | − | 10.0549i | −0.0608831 | − | 0.345285i | ||||
\(849\) | −7.41189 | − | 17.0193i | −0.254375 | − | 0.584100i | ||||
\(850\) | 24.5206 | − | 8.92478i | 0.841051 | − | 0.306118i | ||||
\(851\) | −25.0854 | + | 9.13035i | −0.859918 | + | 0.312984i | ||||
\(852\) | 1.30542 | + | 2.99753i | 0.0447231 | + | 0.102694i | ||||
\(853\) | −7.49020 | − | 42.4791i | −0.256460 | − | 1.45446i | −0.792298 | − | 0.610135i | \(-0.791115\pi\) |
0.535838 | − | 0.844321i | \(-0.319996\pi\) | |||||||
\(854\) | −4.73235 | + | 8.19667i | −0.161938 | + | 0.280484i | ||||
\(855\) | −0.935644 | + | 0.478097i | −0.0319984 | + | 0.0163506i | ||||
\(856\) | 22.0830 | + | 38.2490i | 0.754783 | + | 1.30732i | ||||
\(857\) | 7.39791 | − | 6.20758i | 0.252708 | − | 0.212047i | −0.507630 | − | 0.861575i | \(-0.669478\pi\) |
0.760337 | + | 0.649529i | \(0.225034\pi\) | |||||||
\(858\) | −45.4912 | + | 10.9493i | −1.55304 | + | 0.373802i | ||||
\(859\) | 0.882344 | − | 5.00402i | 0.0301052 | − | 0.170735i | −0.966048 | − | 0.258362i | \(-0.916817\pi\) |
0.996153 | + | 0.0876270i | \(0.0279284\pi\) | |||||||
\(860\) | −1.03178 | − | 0.865765i | −0.0351834 | − | 0.0295223i | ||||
\(861\) | −5.16104 | − | 2.56948i | −0.175888 | − | 0.0875675i | ||||
\(862\) | −10.2439 | − | 3.72848i | −0.348909 | − | 0.126993i | ||||
\(863\) | −11.5661 | −0.393716 | −0.196858 | − | 0.980432i | \(-0.563074\pi\) | ||||
−0.196858 | + | 0.980432i | \(0.563074\pi\) | |||||||
\(864\) | −18.7955 | + | 0.196611i | −0.639435 | + | 0.00668886i | ||||
\(865\) | −6.44512 | −0.219141 | ||||||||
\(866\) | 37.8676 | + | 13.7827i | 1.28679 | + | 0.468355i | ||||
\(867\) | 13.3915 | − | 8.87475i | 0.454798 | − | 0.301402i | ||||
\(868\) | −2.52780 | − | 2.12107i | −0.0857990 | − | 0.0719939i | ||||
\(869\) | −5.84064 | + | 33.1239i | −0.198130 | + | 1.12365i | ||||
\(870\) | 6.87117 | + | 7.23233i | 0.232955 | + | 0.245199i | ||||
\(871\) | 43.2192 | − | 36.2652i | 1.46443 | − | 1.22880i | ||||
\(872\) | 17.8034 | + | 30.8364i | 0.602900 | + | 1.04425i | ||||
\(873\) | −9.87126 | − | 32.1545i | −0.334091 | − | 1.08826i | ||||
\(874\) | 0.831631 | − | 1.44043i | 0.0281303 | − | 0.0487232i | ||||
\(875\) | 1.24835 | + | 7.07975i | 0.0422020 | + | 0.239339i | ||||
\(876\) | 18.7171 | + | 2.12159i | 0.632392 | + | 0.0716818i | ||||
\(877\) | 28.7171 | − | 10.4522i | 0.969708 | − | 0.352945i | 0.191878 | − | 0.981419i | \(-0.438542\pi\) |
0.777831 | + | 0.628474i | \(0.216320\pi\) | |||||||
\(878\) | 15.9004 | − | 5.78728i | 0.536613 | − | 0.195311i | ||||
\(879\) | −26.2771 | + | 35.5544i | −0.886303 | + | 1.19922i | ||||
\(880\) | 1.40803 | + | 7.98536i | 0.0474648 | + | 0.269186i | ||||
\(881\) | −16.8584 | + | 29.1996i | −0.567975 | + | 0.983761i | 0.428792 | + | 0.903403i | \(0.358939\pi\) |
−0.996766 | + | 0.0803573i | \(0.974394\pi\) | |||||||
\(882\) | 1.34721 | − | 3.18406i | 0.0453630 | − | 0.107213i | ||||
\(883\) | −7.49405 | − | 12.9801i | −0.252195 | − | 0.436815i | 0.711935 | − | 0.702245i | \(-0.247819\pi\) |
−0.964130 | + | 0.265431i | \(0.914486\pi\) | |||||||
\(884\) | −12.8371 | + | 10.7716i | −0.431758 | + | 0.362288i | ||||
\(885\) | −4.93040 | + | 16.6801i | −0.165734 | + | 0.560697i | ||||
\(886\) | −6.78315 | + | 38.4692i | −0.227885 | + | 1.29240i | ||||
\(887\) | −32.6465 | − | 27.3936i | −1.09616 | − | 0.919789i | −0.0990004 | − | 0.995087i | \(-0.531565\pi\) |
−0.997161 | + | 0.0752987i | \(0.976009\pi\) | |||||||
\(888\) | 2.78916 | + | 45.1739i | 0.0935980 | + | 1.51594i | ||||
\(889\) | −17.7420 | − | 6.45755i | −0.595047 | − | 0.216579i | ||||
\(890\) | −2.10819 | −0.0706668 | ||||||||
\(891\) | 17.7265 | + | 39.5680i | 0.593860 | + | 1.32558i | ||||
\(892\) | 10.8907 | 0.364649 | ||||||||
\(893\) | 2.21726 | + | 0.807018i | 0.0741979 | + | 0.0270058i | ||||
\(894\) | −0.457704 | − | 7.41309i | −0.0153079 | − | 0.247931i | ||||
\(895\) | −3.59917 | − | 3.02006i | −0.120307 | − | 0.100950i | ||||
\(896\) | 0.460438 | − | 2.61128i | 0.0153822 | − | 0.0872366i | ||||
\(897\) | −7.51498 | + | 25.4241i | −0.250918 | + | 0.848886i | ||||
\(898\) | 20.8202 | − | 17.4702i | 0.694778 | − | 0.582988i | ||||
\(899\) | 16.0770 | + | 27.8462i | 0.536197 | + | 0.928721i | ||||
\(900\) | 5.36642 | + | 7.10438i | 0.178881 | + | 0.236813i | ||||
\(901\) | −11.8683 | + | 20.5564i | −0.395389 | + | 0.684835i | ||||
\(902\) | 3.20901 | + | 18.1992i | 0.106848 | + | 0.605966i | ||||
\(903\) | 2.70343 | − | 3.65789i | 0.0899645 | − | 0.121727i | ||||
\(904\) | −15.6752 | + | 5.70532i | −0.521350 | + | 0.189756i | ||||
\(905\) | −13.7050 | + | 4.98821i | −0.455569 | + | 0.165814i | ||||
\(906\) | −41.5373 | − | 4.70827i | −1.37998 | − | 0.156422i | ||||
\(907\) | 5.36040 | + | 30.4003i | 0.177989 | + | 1.00943i | 0.934637 | + | 0.355604i | \(0.115725\pi\) |
−0.756648 | + | 0.653823i | \(0.773164\pi\) | |||||||
\(908\) | −0.485415 | + | 0.840764i | −0.0161091 | + | 0.0279017i | ||||
\(909\) | −1.58993 | + | 1.70895i | −0.0527347 | + | 0.0566822i | ||||
\(910\) | 2.14037 | + | 3.70723i | 0.0709526 | + | 0.122894i | ||||
\(911\) | −24.3253 | + | 20.4114i | −0.805935 | + | 0.676260i | −0.949634 | − | 0.313362i | \(-0.898545\pi\) |
0.143699 | + | 0.989621i | \(0.454100\pi\) | |||||||
\(912\) | −1.20681 | − | 1.27024i | −0.0399616 | − | 0.0420620i | ||||
\(913\) | 4.53617 | − | 25.7259i | 0.150125 | − | 0.851404i | ||||
\(914\) | 13.6980 | + | 11.4940i | 0.453090 | + | 0.380188i | ||||
\(915\) | −9.05170 | + | 5.99871i | −0.299240 | + | 0.198311i | ||||
\(916\) | −8.64850 | − | 3.14780i | −0.285754 | − | 0.104006i | ||||
\(917\) | 4.02823 | 0.133024 | ||||||||
\(918\) | −23.7193 | − | 19.4837i | −0.782854 | − | 0.643059i | ||||
\(919\) | 26.8456 | 0.885556 | 0.442778 | − | 0.896631i | \(-0.353993\pi\) | ||||
0.442778 | + | 0.896631i | \(0.353993\pi\) | |||||||
\(920\) | 6.94836 | + | 2.52900i | 0.229081 | + | 0.0833785i | ||||
\(921\) | 41.9701 | + | 20.8952i | 1.38296 | + | 0.688521i | ||||
\(922\) | 13.3299 | + | 11.1851i | 0.438997 | + | 0.368362i | ||||
\(923\) | 2.37387 | − | 13.4629i | 0.0781368 | − | 0.443136i | ||||
\(924\) | 5.45048 | − | 1.31188i | 0.179308 | − | 0.0431576i | ||||
\(925\) | 28.7160 | − | 24.0955i | 0.944175 | − | 0.792257i | ||||
\(926\) | 14.3958 | + | 24.9343i | 0.473077 | + | 0.819393i | ||||
\(927\) | 0.445330 | − | 8.68953i | 0.0146265 | − | 0.285402i | ||||
\(928\) | 11.8412 | − | 20.5095i | 0.388706 | − | 0.673259i | ||||
\(929\) | −10.3945 | − | 58.9502i | −0.341033 | − | 1.93409i | −0.356707 | − | 0.934216i | \(-0.616101\pi\) |
0.0156745 | − | 0.999877i | \(-0.495010\pi\) | |||||||
\(930\) | 2.98817 | + | 6.86147i | 0.0979858 | + | 0.224996i | ||||
\(931\) | −0.431129 | + | 0.156918i | −0.0141297 | + | 0.00514279i | ||||
\(932\) | 7.92191 | − | 2.88334i | 0.259491 | − | 0.0944469i | ||||
\(933\) | 10.3576 | + | 23.7833i | 0.339093 | + | 0.778630i | ||||
\(934\) | −0.0151623 | − | 0.0859895i | −0.000496125 | − | 0.00281366i | ||||
\(935\) | 9.42553 | − | 16.3255i | 0.308248 | − | 0.533901i | ||||
\(936\) | 37.7250 | + | 24.4370i | 1.23308 | + | 0.798748i | ||||
\(937\) | 4.38261 | + | 7.59090i | 0.143174 | + | 0.247984i | 0.928690 | − | 0.370857i | \(-0.120936\pi\) |
−0.785516 | + | 0.618841i | \(0.787603\pi\) | |||||||
\(938\) | 10.2363 | − | 8.58925i | 0.334226 | − | 0.280449i | ||||
\(939\) | 29.0867 | − | 7.00088i | 0.949208 | − | 0.228465i | ||||
\(940\) | −0.458043 | + | 2.59769i | −0.0149397 | + | 0.0847274i | ||||
\(941\) | −7.41962 | − | 6.22580i | −0.241873 | − | 0.202955i | 0.513790 | − | 0.857916i | \(-0.328241\pi\) |
−0.755663 | + | 0.654960i | \(0.772685\pi\) | |||||||
\(942\) | −21.0647 | − | 10.4873i | −0.686326 | − | 0.341695i | ||||
\(943\) | 9.83930 | + | 3.58121i | 0.320412 | + | 0.116620i | ||||
\(944\) | −29.0045 | −0.944017 | ||||||||
\(945\) | 3.01180 | − | 2.58136i | 0.0979738 | − | 0.0839717i | ||||
\(946\) | −14.5796 | −0.474024 | ||||||||
\(947\) | −20.8667 | − | 7.59485i | −0.678076 | − | 0.246799i | −0.0200546 | − | 0.999799i | \(-0.506384\pi\) |
−0.658021 | + | 0.753000i | \(0.728606\pi\) | |||||||
\(948\) | 6.77260 | − | 4.48831i | 0.219964 | − | 0.145774i | ||||
\(949\) | −60.3359 | − | 50.6278i | −1.95859 | − | 1.64345i | ||||
\(950\) | −0.405569 | + | 2.30009i | −0.0131584 | + | 0.0746249i | ||||
\(951\) | 30.9159 | + | 32.5409i | 1.00252 | + | 1.05521i | ||||
\(952\) | −12.0910 | + | 10.1456i | −0.391873 | + | 0.328820i | ||||
\(953\) | 24.3721 | + | 42.2137i | 0.789490 | + | 1.36744i | 0.926280 | + | 0.376836i | \(0.122988\pi\) |
−0.136790 | + | 0.990600i | \(0.543679\pi\) | |||||||
\(954\) | 15.6036 | + | 3.58339i | 0.505186 | + | 0.116016i | ||||
\(955\) | 1.97893 | − | 3.42762i | 0.0640368 | − | 0.110915i | ||||
\(956\) | −2.99159 | − | 16.9662i | −0.0967551 | − | 0.548725i | ||||
\(957\) | −54.2798 | − | 6.15263i | −1.75462 | − | 0.198886i | ||||
\(958\) | −29.4613 | + | 10.7230i | −0.951852 | + | 0.346446i | ||||
\(959\) | −13.0851 | + | 4.76257i | −0.422539 | + | 0.153792i | ||||
\(960\) | 6.74165 | − | 9.12183i | 0.217586 | − | 0.294406i | ||||
\(961\) | −1.19440 | − | 6.77377i | −0.0385290 | − | 0.218509i | ||||
\(962\) | 23.7938 | − | 41.2121i | 0.767143 | − | 1.32873i | ||||
\(963\) | −42.7035 | + | 5.29343i | −1.37610 | + | 0.170578i | ||||
\(964\) | −1.95000 | − | 3.37750i | −0.0628052 | − | 0.108782i | ||||
\(965\) | −12.3686 | + | 10.3785i | −0.398160 | + | 0.334096i | ||||
\(966\) | −1.77989 | + | 6.02158i | −0.0572670 | + | 0.193741i | ||||
\(967\) | −9.09936 | + | 51.6051i | −0.292616 | + | 1.65951i | 0.384122 | + | 0.923282i | \(0.374504\pi\) |
−0.676738 | + | 0.736224i | \(0.736607\pi\) | |||||||
\(968\) | −28.7963 | − | 24.1629i | −0.925547 | − | 0.776626i | ||||
\(969\) | 0.251024 | + | 4.06565i | 0.00806405 | + | 0.130607i | ||||
\(970\) | 9.26887 | + | 3.37359i | 0.297605 | + | 0.108320i | ||||
\(971\) | 4.79496 | 0.153878 | 0.0769388 | − | 0.997036i | \(-0.475485\pi\) | ||||
0.0769388 | + | 0.997036i | \(0.475485\pi\) | |||||||
\(972\) | 3.98001 | − | 9.68768i | 0.127659 | − | 0.310732i | ||||
\(973\) | 1.31216 | 0.0420658 | ||||||||
\(974\) | −18.7689 | − | 6.83131i | −0.601393 | − | 0.218889i | ||||
\(975\) | −2.29418 | − | 37.1571i | −0.0734725 | − | 1.18998i | ||||
\(976\) | −13.8714 | − | 11.6395i | −0.444014 | − | 0.372572i | ||||
\(977\) | 2.22954 | − | 12.6444i | 0.0713293 | − | 0.404529i | −0.928148 | − | 0.372211i | \(-0.878600\pi\) |
0.999478 | − | 0.0323181i | \(-0.0102890\pi\) | |||||||
\(978\) | 5.40425 | − | 18.2832i | 0.172809 | − | 0.584634i | ||||
\(979\) | 8.84343 | − | 7.42052i | 0.282637 | − | 0.237161i | ||||
\(980\) | −0.256446 | − | 0.444178i | −0.00819188 | − | 0.0141887i | ||||
\(981\) | −34.4277 | + | 4.26758i | −1.09919 | + | 0.136253i | ||||
\(982\) | −10.5481 | + | 18.2699i | −0.336604 | + | 0.583015i | ||||
\(983\) | −0.586030 | − | 3.32354i | −0.0186915 | − | 0.106005i | 0.974035 | − | 0.226399i | \(-0.0726953\pi\) |
−0.992726 | + | 0.120394i | \(0.961584\pi\) | |||||||
\(984\) | 10.5513 | − | 14.2765i | 0.336362 | − | 0.455117i | ||||
\(985\) | 0.255537 | − | 0.0930079i | 0.00814209 | − | 0.00296348i | ||||
\(986\) | 36.3421 | − | 13.2275i | 1.15737 | − | 0.421248i | ||||
\(987\) | −8.85112 | − | 1.00328i | −0.281734 | − | 0.0319347i | ||||
\(988\) | −0.260454 | − | 1.47711i | −0.00828615 | − | 0.0469931i | ||||
\(989\) | −4.13042 | + | 7.15410i | −0.131340 | + | 0.227487i | ||||
\(990\) | −12.3921 | − | 2.84585i | −0.393846 | − | 0.0904471i | ||||
\(991\) | 3.03172 | + | 5.25110i | 0.0963059 | + | 0.166807i | 0.910153 | − | 0.414273i | \(-0.135964\pi\) |
−0.813847 | + | 0.581079i | \(0.802631\pi\) | |||||||
\(992\) | 13.6098 | − | 11.4200i | 0.432113 | − | 0.362586i | ||||
\(993\) | −28.5789 | − | 30.0811i | −0.906924 | − | 0.954594i | ||||
\(994\) | 0.562240 | − | 3.18862i | 0.0178332 | − | 0.101137i | ||||
\(995\) | −3.52567 | − | 2.95839i | −0.111771 | − | 0.0937873i | ||||
\(996\) | −5.25999 | + | 3.48588i | −0.166669 | + | 0.110454i | ||||
\(997\) | 53.0901 | + | 19.3232i | 1.68138 | + | 0.611972i | 0.993498 | − | 0.113851i | \(-0.0363188\pi\) |
0.687881 | + | 0.725823i | \(0.258541\pi\) | |||||||
\(998\) | 6.86133 | 0.217192 | ||||||||
\(999\) | −41.5922 | − | 14.6475i | −1.31592 | − | 0.463426i |
(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 | 189.2.v.a.85.4 | ✓ | 54 | |
3.2 | odd | 2 | 567.2.v.b.64.6 | 54 | |||
27.7 | even | 9 | inner | 189.2.v.a.169.4 | yes | 54 | |
27.13 | even | 9 | 5103.2.a.i.1.17 | 27 | |||
27.14 | odd | 18 | 5103.2.a.f.1.11 | 27 | |||
27.20 | odd | 18 | 567.2.v.b.505.6 | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.a.85.4 | ✓ | 54 | 1.1 | even | 1 | trivial | |
189.2.v.a.169.4 | yes | 54 | 27.7 | even | 9 | inner | |
567.2.v.b.64.6 | 54 | 3.2 | odd | 2 | |||
567.2.v.b.505.6 | 54 | 27.20 | odd | 18 | |||
5103.2.a.f.1.11 | 27 | 27.14 | odd | 18 | |||
5103.2.a.i.1.17 | 27 | 27.13 | even | 9 |