Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(117,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.117");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bv (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(1\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 213.1 | ||
Root | \(-0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 280.213 |
Dual form | 280.2.bv.a.117.1 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | − | 1.00000i | −0.707107 | − | 0.707107i | ||||
\(3\) | −0.500000 | + | 0.133975i | −0.288675 | + | 0.0773503i | −0.400251 | − | 0.916406i | \(-0.631077\pi\) |
0.111576 | + | 0.993756i | \(0.464410\pi\) | |||||||
\(4\) | 2.00000i | 1.00000i | ||||||||
\(5\) | −0.133975 | − | 2.23205i | −0.0599153 | − | 0.998203i | ||||
\(6\) | 0.633975 | + | 0.366025i | 0.258819 | + | 0.149429i | ||||
\(7\) | −2.50000 | + | 0.866025i | −0.944911 | + | 0.327327i | ||||
\(8\) | 2.00000 | − | 2.00000i | 0.707107 | − | 0.707107i | ||||
\(9\) | −2.36603 | + | 1.36603i | −0.788675 | + | 0.455342i | ||||
\(10\) | −2.09808 | + | 2.36603i | −0.663470 | + | 0.748203i | ||||
\(11\) | 2.36603 | + | 1.36603i | 0.713384 | + | 0.411872i | 0.812313 | − | 0.583222i | \(-0.198208\pi\) |
−0.0989291 | + | 0.995094i | \(0.531542\pi\) | |||||||
\(12\) | −0.267949 | − | 1.00000i | −0.0773503 | − | 0.288675i | ||||
\(13\) | −3.00000 | − | 3.00000i | −0.832050 | − | 0.832050i | 0.155747 | − | 0.987797i | \(-0.450222\pi\) |
−0.987797 | + | 0.155747i | \(0.950222\pi\) | |||||||
\(14\) | 3.36603 | + | 1.63397i | 0.899608 | + | 0.436698i | ||||
\(15\) | 0.366025 | + | 1.09808i | 0.0945074 | + | 0.283522i | ||||
\(16\) | −4.00000 | −1.00000 | ||||||||
\(17\) | −4.09808 | + | 1.09808i | −0.993929 | + | 0.266323i | −0.718900 | − | 0.695113i | \(-0.755354\pi\) |
−0.275029 | + | 0.961436i | \(0.588688\pi\) | |||||||
\(18\) | 3.73205 | + | 1.00000i | 0.879653 | + | 0.235702i | ||||
\(19\) | −3.00000 | + | 1.73205i | −0.688247 | + | 0.397360i | −0.802955 | − | 0.596040i | \(-0.796740\pi\) |
0.114708 | + | 0.993399i | \(0.463407\pi\) | |||||||
\(20\) | 4.46410 | − | 0.267949i | 0.998203 | − | 0.0599153i | ||||
\(21\) | 1.13397 | − | 0.767949i | 0.247454 | − | 0.167580i | ||||
\(22\) | −1.00000 | − | 3.73205i | −0.213201 | − | 0.795676i | ||||
\(23\) | −1.50000 | + | 5.59808i | −0.312772 | + | 1.16728i | 0.613275 | + | 0.789870i | \(0.289852\pi\) |
−0.926046 | + | 0.377410i | \(0.876815\pi\) | |||||||
\(24\) | −0.732051 | + | 1.26795i | −0.149429 | + | 0.258819i | ||||
\(25\) | −4.96410 | + | 0.598076i | −0.992820 | + | 0.119615i | ||||
\(26\) | 6.00000i | 1.17670i | ||||||||
\(27\) | 2.09808 | − | 2.09808i | 0.403775 | − | 0.403775i | ||||
\(28\) | −1.73205 | − | 5.00000i | −0.327327 | − | 0.944911i | ||||
\(29\) | −2.46410 | −0.457572 | −0.228786 | − | 0.973477i | \(-0.573476\pi\) | ||||
−0.228786 | + | 0.973477i | \(0.573476\pi\) | |||||||
\(30\) | 0.732051 | − | 1.46410i | 0.133654 | − | 0.267307i | ||||
\(31\) | −0.169873 | − | 0.0980762i | −0.0305101 | − | 0.0176150i | 0.484667 | − | 0.874699i | \(-0.338941\pi\) |
−0.515177 | + | 0.857084i | \(0.672274\pi\) | |||||||
\(32\) | 4.00000 | + | 4.00000i | 0.707107 | + | 0.707107i | ||||
\(33\) | −1.36603 | − | 0.366025i | −0.237795 | − | 0.0637168i | ||||
\(34\) | 5.19615 | + | 3.00000i | 0.891133 | + | 0.514496i | ||||
\(35\) | 2.26795 | + | 5.46410i | 0.383353 | + | 0.923602i | ||||
\(36\) | −2.73205 | − | 4.73205i | −0.455342 | − | 0.788675i | ||||
\(37\) | 0.464102 | − | 1.73205i | 0.0762978 | − | 0.284747i | −0.917227 | − | 0.398366i | \(-0.869577\pi\) |
0.993524 | + | 0.113618i | \(0.0362441\pi\) | |||||||
\(38\) | 4.73205 | + | 1.26795i | 0.767640 | + | 0.205689i | ||||
\(39\) | 1.90192 | + | 1.09808i | 0.304552 | + | 0.175833i | ||||
\(40\) | −4.73205 | − | 4.19615i | −0.748203 | − | 0.663470i | ||||
\(41\) | 6.46410i | 1.00952i | 0.863259 | + | 0.504762i | \(0.168420\pi\) | ||||
−0.863259 | + | 0.504762i | \(0.831580\pi\) | |||||||
\(42\) | −1.90192 | − | 0.366025i | −0.293473 | − | 0.0564789i | ||||
\(43\) | −0.633975 | + | 0.633975i | −0.0966802 | + | 0.0966802i | −0.753793 | − | 0.657112i | \(-0.771778\pi\) |
0.657112 | + | 0.753793i | \(0.271778\pi\) | |||||||
\(44\) | −2.73205 | + | 4.73205i | −0.411872 | + | 0.713384i | ||||
\(45\) | 3.36603 | + | 5.09808i | 0.501777 | + | 0.759976i | ||||
\(46\) | 7.09808 | − | 4.09808i | 1.04655 | − | 0.604228i | ||||
\(47\) | 2.36603 | − | 8.83013i | 0.345120 | − | 1.28801i | −0.547351 | − | 0.836903i | \(-0.684364\pi\) |
0.892472 | − | 0.451103i | \(-0.148969\pi\) | |||||||
\(48\) | 2.00000 | − | 0.535898i | 0.288675 | − | 0.0773503i | ||||
\(49\) | 5.50000 | − | 4.33013i | 0.785714 | − | 0.618590i | ||||
\(50\) | 5.56218 | + | 4.36603i | 0.786611 | + | 0.617449i | ||||
\(51\) | 1.90192 | − | 1.09808i | 0.266323 | − | 0.153761i | ||||
\(52\) | 6.00000 | − | 6.00000i | 0.832050 | − | 0.832050i | ||||
\(53\) | −3.00000 | − | 11.1962i | −0.412082 | − | 1.53791i | −0.790610 | − | 0.612320i | \(-0.790236\pi\) |
0.378528 | − | 0.925590i | \(-0.376430\pi\) | |||||||
\(54\) | −4.19615 | −0.571024 | ||||||||
\(55\) | 2.73205 | − | 5.46410i | 0.368390 | − | 0.736779i | ||||
\(56\) | −3.26795 | + | 6.73205i | −0.436698 | + | 0.899608i | ||||
\(57\) | 1.26795 | − | 1.26795i | 0.167944 | − | 0.167944i | ||||
\(58\) | 2.46410 | + | 2.46410i | 0.323552 | + | 0.323552i | ||||
\(59\) | −4.26795 | − | 2.46410i | −0.555640 | − | 0.320799i | 0.195754 | − | 0.980653i | \(-0.437285\pi\) |
−0.751394 | + | 0.659854i | \(0.770618\pi\) | |||||||
\(60\) | −2.19615 | + | 0.732051i | −0.283522 | + | 0.0945074i | ||||
\(61\) | −1.96410 | − | 3.40192i | −0.251477 | − | 0.435572i | 0.712455 | − | 0.701717i | \(-0.247583\pi\) |
−0.963933 | + | 0.266146i | \(0.914250\pi\) | |||||||
\(62\) | 0.0717968 | + | 0.267949i | 0.00911820 | + | 0.0340296i | ||||
\(63\) | 4.73205 | − | 5.46410i | 0.596182 | − | 0.688412i | ||||
\(64\) | − | 8.00000i | − | 1.00000i | ||||||
\(65\) | −6.29423 | + | 7.09808i | −0.780703 | + | 0.880408i | ||||
\(66\) | 1.00000 | + | 1.73205i | 0.123091 | + | 0.213201i | ||||
\(67\) | −7.96410 | + | 2.13397i | −0.972970 | + | 0.260706i | −0.710081 | − | 0.704120i | \(-0.751342\pi\) |
−0.262889 | + | 0.964826i | \(0.584675\pi\) | |||||||
\(68\) | −2.19615 | − | 8.19615i | −0.266323 | − | 0.993929i | ||||
\(69\) | − | 3.00000i | − | 0.361158i | ||||||
\(70\) | 3.19615 | − | 7.73205i | 0.382013 | − | 0.924157i | ||||
\(71\) | 8.53590 | 1.01302 | 0.506512 | − | 0.862233i | \(-0.330934\pi\) | ||||
0.506512 | + | 0.862233i | \(0.330934\pi\) | |||||||
\(72\) | −2.00000 | + | 7.46410i | −0.235702 | + | 0.879653i | ||||
\(73\) | −2.90192 | − | 10.8301i | −0.339644 | − | 1.26757i | −0.898745 | − | 0.438471i | \(-0.855520\pi\) |
0.559101 | − | 0.829100i | \(-0.311146\pi\) | |||||||
\(74\) | −2.19615 | + | 1.26795i | −0.255298 | + | 0.147396i | ||||
\(75\) | 2.40192 | − | 0.964102i | 0.277350 | − | 0.111325i | ||||
\(76\) | −3.46410 | − | 6.00000i | −0.397360 | − | 0.688247i | ||||
\(77\) | −7.09808 | − | 1.36603i | −0.808901 | − | 0.155673i | ||||
\(78\) | −0.803848 | − | 3.00000i | −0.0910178 | − | 0.339683i | ||||
\(79\) | −0.803848 | + | 0.464102i | −0.0904399 | + | 0.0522155i | −0.544538 | − | 0.838736i | \(-0.683295\pi\) |
0.454098 | + | 0.890952i | \(0.349962\pi\) | |||||||
\(80\) | 0.535898 | + | 8.92820i | 0.0599153 | + | 0.998203i | ||||
\(81\) | 3.33013 | − | 5.76795i | 0.370014 | − | 0.640883i | ||||
\(82\) | 6.46410 | − | 6.46410i | 0.713841 | − | 0.713841i | ||||
\(83\) | 7.56218 | + | 7.56218i | 0.830057 | + | 0.830057i | 0.987524 | − | 0.157467i | \(-0.0503329\pi\) |
−0.157467 | + | 0.987524i | \(0.550333\pi\) | |||||||
\(84\) | 1.53590 | + | 2.26795i | 0.167580 | + | 0.247454i | ||||
\(85\) | 3.00000 | + | 9.00000i | 0.325396 | + | 0.976187i | ||||
\(86\) | 1.26795 | 0.136726 | ||||||||
\(87\) | 1.23205 | − | 0.330127i | 0.132090 | − | 0.0353933i | ||||
\(88\) | 7.46410 | − | 2.00000i | 0.795676 | − | 0.213201i | ||||
\(89\) | −3.40192 | − | 5.89230i | −0.360603 | − | 0.624583i | 0.627457 | − | 0.778651i | \(-0.284096\pi\) |
−0.988060 | + | 0.154068i | \(0.950762\pi\) | |||||||
\(90\) | 1.73205 | − | 8.46410i | 0.182574 | − | 0.892195i | ||||
\(91\) | 10.0981 | + | 4.90192i | 1.05857 | + | 0.513861i | ||||
\(92\) | −11.1962 | − | 3.00000i | −1.16728 | − | 0.312772i | ||||
\(93\) | 0.0980762 | + | 0.0262794i | 0.0101700 | + | 0.00272505i | ||||
\(94\) | −11.1962 | + | 6.46410i | −1.15479 | + | 0.666721i | ||||
\(95\) | 4.26795 | + | 6.46410i | 0.437882 | + | 0.663203i | ||||
\(96\) | −2.53590 | − | 1.46410i | −0.258819 | − | 0.149429i | ||||
\(97\) | 9.73205 | + | 9.73205i | 0.988140 | + | 0.988140i | 0.999930 | − | 0.0117904i | \(-0.00375310\pi\) |
−0.0117904 | + | 0.999930i | \(0.503753\pi\) | |||||||
\(98\) | −9.83013 | − | 1.16987i | −0.992993 | − | 0.118175i | ||||
\(99\) | −7.46410 | −0.750170 | ||||||||
\(100\) | −1.19615 | − | 9.92820i | −0.119615 | − | 0.992820i | ||||
\(101\) | 7.06218 | − | 12.2321i | 0.702713 | − | 1.21713i | −0.264798 | − | 0.964304i | \(-0.585305\pi\) |
0.967511 | − | 0.252831i | \(-0.0813615\pi\) | |||||||
\(102\) | −3.00000 | − | 0.803848i | −0.297044 | − | 0.0795928i | ||||
\(103\) | −5.33013 | − | 1.42820i | −0.525193 | − | 0.140725i | −0.0135254 | − | 0.999909i | \(-0.504305\pi\) |
−0.511668 | + | 0.859183i | \(0.670972\pi\) | |||||||
\(104\) | −12.0000 | −1.17670 | ||||||||
\(105\) | −1.86603 | − | 2.42820i | −0.182105 | − | 0.236968i | ||||
\(106\) | −8.19615 | + | 14.1962i | −0.796081 | + | 1.37885i | ||||
\(107\) | −3.33013 | + | 12.4282i | −0.321936 | + | 1.20148i | 0.595421 | + | 0.803414i | \(0.296985\pi\) |
−0.917357 | + | 0.398066i | \(0.869681\pi\) | |||||||
\(108\) | 4.19615 | + | 4.19615i | 0.403775 | + | 0.403775i | ||||
\(109\) | −3.86603 | + | 6.69615i | −0.370298 | + | 0.641375i | −0.989611 | − | 0.143769i | \(-0.954078\pi\) |
0.619313 | + | 0.785144i | \(0.287411\pi\) | |||||||
\(110\) | −8.19615 | + | 2.73205i | −0.781472 | + | 0.260491i | ||||
\(111\) | 0.928203i | 0.0881012i | ||||||||
\(112\) | 10.0000 | − | 3.46410i | 0.944911 | − | 0.327327i | ||||
\(113\) | 9.46410 | + | 9.46410i | 0.890308 | + | 0.890308i | 0.994552 | − | 0.104244i | \(-0.0332423\pi\) |
−0.104244 | + | 0.994552i | \(0.533242\pi\) | |||||||
\(114\) | −2.53590 | −0.237509 | ||||||||
\(115\) | 12.6962 | + | 2.59808i | 1.18392 | + | 0.242272i | ||||
\(116\) | − | 4.92820i | − | 0.457572i | ||||||
\(117\) | 11.1962 | + | 3.00000i | 1.03508 | + | 0.277350i | ||||
\(118\) | 1.80385 | + | 6.73205i | 0.166058 | + | 0.619736i | ||||
\(119\) | 9.29423 | − | 6.29423i | 0.852001 | − | 0.576991i | ||||
\(120\) | 2.92820 | + | 1.46410i | 0.267307 | + | 0.133654i | ||||
\(121\) | −1.76795 | − | 3.06218i | −0.160723 | − | 0.278380i | ||||
\(122\) | −1.43782 | + | 5.36603i | −0.130174 | + | 0.485817i | ||||
\(123\) | −0.866025 | − | 3.23205i | −0.0780869 | − | 0.291424i | ||||
\(124\) | 0.196152 | − | 0.339746i | 0.0176150 | − | 0.0305101i | ||||
\(125\) | 2.00000 | + | 11.0000i | 0.178885 | + | 0.983870i | ||||
\(126\) | −10.1962 | + | 0.732051i | −0.908345 | + | 0.0652163i | ||||
\(127\) | −11.0000 | + | 11.0000i | −0.976092 | + | 0.976092i | −0.999721 | − | 0.0236286i | \(-0.992478\pi\) |
0.0236286 | + | 0.999721i | \(0.492478\pi\) | |||||||
\(128\) | −8.00000 | + | 8.00000i | −0.707107 | + | 0.707107i | ||||
\(129\) | 0.232051 | − | 0.401924i | 0.0204309 | − | 0.0353874i | ||||
\(130\) | 13.3923 | − | 0.803848i | 1.17458 | − | 0.0705021i | ||||
\(131\) | 0.267949 | + | 0.464102i | 0.0234108 | + | 0.0405487i | 0.877493 | − | 0.479589i | \(-0.159214\pi\) |
−0.854083 | + | 0.520137i | \(0.825881\pi\) | |||||||
\(132\) | 0.732051 | − | 2.73205i | 0.0637168 | − | 0.237795i | ||||
\(133\) | 6.00000 | − | 6.92820i | 0.520266 | − | 0.600751i | ||||
\(134\) | 10.0981 | + | 5.83013i | 0.872341 | + | 0.503646i | ||||
\(135\) | −4.96410 | − | 4.40192i | −0.427242 | − | 0.378857i | ||||
\(136\) | −6.00000 | + | 10.3923i | −0.514496 | + | 0.891133i | ||||
\(137\) | 2.19615 | + | 8.19615i | 0.187630 | + | 0.700245i | 0.994052 | + | 0.108904i | \(0.0347343\pi\) |
−0.806422 | + | 0.591340i | \(0.798599\pi\) | |||||||
\(138\) | −3.00000 | + | 3.00000i | −0.255377 | + | 0.255377i | ||||
\(139\) | − | 4.73205i | − | 0.401367i | −0.979656 | − | 0.200684i | \(-0.935684\pi\) | ||
0.979656 | − | 0.200684i | \(-0.0643163\pi\) | |||||||
\(140\) | −10.9282 | + | 4.53590i | −0.923602 | + | 0.383353i | ||||
\(141\) | 4.73205i | 0.398511i | ||||||||
\(142\) | −8.53590 | − | 8.53590i | −0.716317 | − | 0.716317i | ||||
\(143\) | −3.00000 | − | 11.1962i | −0.250873 | − | 0.936269i | ||||
\(144\) | 9.46410 | − | 5.46410i | 0.788675 | − | 0.455342i | ||||
\(145\) | 0.330127 | + | 5.50000i | 0.0274156 | + | 0.456750i | ||||
\(146\) | −7.92820 | + | 13.7321i | −0.656143 | + | 1.13647i | ||||
\(147\) | −2.16987 | + | 2.90192i | −0.178968 | + | 0.239347i | ||||
\(148\) | 3.46410 | + | 0.928203i | 0.284747 | + | 0.0762978i | ||||
\(149\) | −2.66987 | − | 4.62436i | −0.218725 | − | 0.378842i | 0.735694 | − | 0.677314i | \(-0.236856\pi\) |
−0.954418 | + | 0.298472i | \(0.903523\pi\) | |||||||
\(150\) | −3.36603 | − | 1.43782i | −0.274835 | − | 0.117398i | ||||
\(151\) | −12.0981 | + | 20.9545i | −0.984527 | + | 1.70525i | −0.340510 | + | 0.940241i | \(0.610600\pi\) |
−0.644018 | + | 0.765011i | \(0.722734\pi\) | |||||||
\(152\) | −2.53590 | + | 9.46410i | −0.205689 | + | 0.767640i | ||||
\(153\) | 8.19615 | − | 8.19615i | 0.662620 | − | 0.662620i | ||||
\(154\) | 5.73205 | + | 8.46410i | 0.461902 | + | 0.682057i | ||||
\(155\) | −0.196152 | + | 0.392305i | −0.0157553 | + | 0.0315107i | ||||
\(156\) | −2.19615 | + | 3.80385i | −0.175833 | + | 0.304552i | ||||
\(157\) | −2.02628 | − | 7.56218i | −0.161715 | − | 0.603527i | −0.998436 | − | 0.0558992i | \(-0.982197\pi\) |
0.836722 | − | 0.547628i | \(-0.184469\pi\) | |||||||
\(158\) | 1.26795 | + | 0.339746i | 0.100873 | + | 0.0270287i | ||||
\(159\) | 3.00000 | + | 5.19615i | 0.237915 | + | 0.412082i | ||||
\(160\) | 8.39230 | − | 9.46410i | 0.663470 | − | 0.748203i | ||||
\(161\) | −1.09808 | − | 15.2942i | −0.0865405 | − | 1.20535i | ||||
\(162\) | −9.09808 | + | 2.43782i | −0.714812 | + | 0.191533i | ||||
\(163\) | −20.0263 | − | 5.36603i | −1.56858 | − | 0.420300i | −0.633212 | − | 0.773978i | \(-0.718264\pi\) |
−0.935367 | + | 0.353679i | \(0.884931\pi\) | |||||||
\(164\) | −12.9282 | −1.00952 | ||||||||
\(165\) | −0.633975 | + | 3.09808i | −0.0493549 | + | 0.241185i | ||||
\(166\) | − | 15.1244i | − | 1.17388i | ||||||
\(167\) | −12.2942 | − | 12.2942i | −0.951356 | − | 0.951356i | 0.0475146 | − | 0.998871i | \(-0.484870\pi\) |
−0.998871 | + | 0.0475146i | \(0.984870\pi\) | |||||||
\(168\) | 0.732051 | − | 3.80385i | 0.0564789 | − | 0.293473i | ||||
\(169\) | 5.00000i | 0.384615i | ||||||||
\(170\) | 6.00000 | − | 12.0000i | 0.460179 | − | 0.920358i | ||||
\(171\) | 4.73205 | − | 8.19615i | 0.361869 | − | 0.626775i | ||||
\(172\) | −1.26795 | − | 1.26795i | −0.0966802 | − | 0.0966802i | ||||
\(173\) | −6.46410 | + | 24.1244i | −0.491457 | + | 1.83414i | 0.0575778 | + | 0.998341i | \(0.481662\pi\) |
−0.549034 | + | 0.835800i | \(0.685004\pi\) | |||||||
\(174\) | −1.56218 | − | 0.901924i | −0.118428 | − | 0.0683747i | ||||
\(175\) | 11.8923 | − | 5.79423i | 0.898974 | − | 0.438003i | ||||
\(176\) | −9.46410 | − | 5.46410i | −0.713384 | − | 0.411872i | ||||
\(177\) | 2.46410 | + | 0.660254i | 0.185213 | + | 0.0496277i | ||||
\(178\) | −2.49038 | + | 9.29423i | −0.186662 | + | 0.696632i | ||||
\(179\) | 12.0263 | − | 20.8301i | 0.898886 | − | 1.55692i | 0.0699665 | − | 0.997549i | \(-0.477711\pi\) |
0.828920 | − | 0.559367i | \(-0.188956\pi\) | |||||||
\(180\) | −10.1962 | + | 6.73205i | −0.759976 | + | 0.501777i | ||||
\(181\) | −22.5167 | −1.67365 | −0.836825 | − | 0.547470i | \(-0.815591\pi\) | ||||
−0.836825 | + | 0.547470i | \(0.815591\pi\) | |||||||
\(182\) | −5.19615 | − | 15.0000i | −0.385164 | − | 1.11187i | ||||
\(183\) | 1.43782 | + | 1.43782i | 0.106287 | + | 0.106287i | ||||
\(184\) | 8.19615 | + | 14.1962i | 0.604228 | + | 1.04655i | ||||
\(185\) | −3.92820 | − | 0.803848i | −0.288807 | − | 0.0591000i | ||||
\(186\) | −0.0717968 | − | 0.124356i | −0.00526439 | − | 0.00911820i | ||||
\(187\) | −11.1962 | − | 3.00000i | −0.818744 | − | 0.219382i | ||||
\(188\) | 17.6603 | + | 4.73205i | 1.28801 | + | 0.345120i | ||||
\(189\) | −3.42820 | + | 7.06218i | −0.249365 | + | 0.513698i | ||||
\(190\) | 2.19615 | − | 10.7321i | 0.159326 | − | 0.778585i | ||||
\(191\) | 10.5622 | + | 18.2942i | 0.764252 | + | 1.32372i | 0.940641 | + | 0.339403i | \(0.110225\pi\) |
−0.176389 | + | 0.984321i | \(0.556442\pi\) | |||||||
\(192\) | 1.07180 | + | 4.00000i | 0.0773503 | + | 0.288675i | ||||
\(193\) | −2.09808 | + | 0.562178i | −0.151023 | + | 0.0404664i | −0.333538 | − | 0.942737i | \(-0.608243\pi\) |
0.182516 | + | 0.983203i | \(0.441576\pi\) | |||||||
\(194\) | − | 19.4641i | − | 1.39744i | ||||||
\(195\) | 2.19615 | − | 4.39230i | 0.157270 | − | 0.314539i | ||||
\(196\) | 8.66025 | + | 11.0000i | 0.618590 | + | 0.785714i | ||||
\(197\) | 12.4641 | + | 12.4641i | 0.888030 | + | 0.888030i | 0.994334 | − | 0.106303i | \(-0.0339014\pi\) |
−0.106303 | + | 0.994334i | \(0.533901\pi\) | |||||||
\(198\) | 7.46410 | + | 7.46410i | 0.530451 | + | 0.530451i | ||||
\(199\) | 1.73205 | − | 3.00000i | 0.122782 | − | 0.212664i | −0.798082 | − | 0.602549i | \(-0.794152\pi\) |
0.920864 | + | 0.389885i | \(0.127485\pi\) | |||||||
\(200\) | −8.73205 | + | 11.1244i | −0.617449 | + | 0.786611i | ||||
\(201\) | 3.69615 | − | 2.13397i | 0.260706 | − | 0.150519i | ||||
\(202\) | −19.2942 | + | 5.16987i | −1.35754 | + | 0.363751i | ||||
\(203\) | 6.16025 | − | 2.13397i | 0.432365 | − | 0.149776i | ||||
\(204\) | 2.19615 | + | 3.80385i | 0.153761 | + | 0.266323i | ||||
\(205\) | 14.4282 | − | 0.866025i | 1.00771 | − | 0.0604858i | ||||
\(206\) | 3.90192 | + | 6.75833i | 0.271860 | + | 0.470875i | ||||
\(207\) | −4.09808 | − | 15.2942i | −0.284836 | − | 1.06302i | ||||
\(208\) | 12.0000 | + | 12.0000i | 0.832050 | + | 0.832050i | ||||
\(209\) | −9.46410 | −0.654646 | ||||||||
\(210\) | −0.562178 | + | 4.29423i | −0.0387940 | + | 0.296330i | ||||
\(211\) | − | 27.4641i | − | 1.89071i | −0.326048 | − | 0.945353i | \(-0.605717\pi\) | ||
0.326048 | − | 0.945353i | \(-0.394283\pi\) | |||||||
\(212\) | 22.3923 | − | 6.00000i | 1.53791 | − | 0.412082i | ||||
\(213\) | −4.26795 | + | 1.14359i | −0.292435 | + | 0.0783577i | ||||
\(214\) | 15.7583 | − | 9.09808i | 1.07722 | − | 0.621932i | ||||
\(215\) | 1.50000 | + | 1.33013i | 0.102299 | + | 0.0907139i | ||||
\(216\) | − | 8.39230i | − | 0.571024i | ||||||
\(217\) | 0.509619 | + | 0.0980762i | 0.0345952 | + | 0.00665785i | ||||
\(218\) | 10.5622 | − | 2.83013i | 0.715361 | − | 0.191680i | ||||
\(219\) | 2.90192 | + | 5.02628i | 0.196094 | + | 0.339644i | ||||
\(220\) | 10.9282 | + | 5.46410i | 0.736779 | + | 0.368390i | ||||
\(221\) | 15.5885 | + | 9.00000i | 1.04859 | + | 0.605406i | ||||
\(222\) | 0.928203 | − | 0.928203i | 0.0622969 | − | 0.0622969i | ||||
\(223\) | −5.92820 | + | 5.92820i | −0.396982 | + | 0.396982i | −0.877167 | − | 0.480185i | \(-0.840569\pi\) |
0.480185 | + | 0.877167i | \(0.340569\pi\) | |||||||
\(224\) | −13.4641 | − | 6.53590i | −0.899608 | − | 0.436698i | ||||
\(225\) | 10.9282 | − | 8.19615i | 0.728547 | − | 0.546410i | ||||
\(226\) | − | 18.9282i | − | 1.25909i | ||||||
\(227\) | 4.16987 | + | 15.5622i | 0.276764 | + | 1.03290i | 0.954650 | + | 0.297731i | \(0.0962298\pi\) |
−0.677886 | + | 0.735167i | \(0.737104\pi\) | |||||||
\(228\) | 2.53590 | + | 2.53590i | 0.167944 | + | 0.167944i | ||||
\(229\) | 7.39230 | − | 4.26795i | 0.488497 | − | 0.282034i | −0.235454 | − | 0.971886i | \(-0.575658\pi\) |
0.723951 | + | 0.689852i | \(0.242324\pi\) | |||||||
\(230\) | −10.0981 | − | 15.2942i | −0.665847 | − | 1.00847i | ||||
\(231\) | 3.73205 | − | 0.267949i | 0.245551 | − | 0.0176298i | ||||
\(232\) | −4.92820 | + | 4.92820i | −0.323552 | + | 0.323552i | ||||
\(233\) | 1.90192 | − | 7.09808i | 0.124599 | − | 0.465010i | −0.875226 | − | 0.483714i | \(-0.839287\pi\) |
0.999825 | + | 0.0187040i | \(0.00595401\pi\) | |||||||
\(234\) | −8.19615 | − | 14.1962i | −0.535799 | − | 0.928032i | ||||
\(235\) | −20.0263 | − | 4.09808i | −1.30637 | − | 0.267329i | ||||
\(236\) | 4.92820 | − | 8.53590i | 0.320799 | − | 0.555640i | ||||
\(237\) | 0.339746 | − | 0.339746i | 0.0220689 | − | 0.0220689i | ||||
\(238\) | −15.5885 | − | 3.00000i | −1.01045 | − | 0.194461i | ||||
\(239\) | − | 1.26795i | − | 0.0820168i | −0.999159 | − | 0.0410084i | \(-0.986943\pi\) | ||
0.999159 | − | 0.0410084i | \(-0.0130570\pi\) | |||||||
\(240\) | −1.46410 | − | 4.39230i | −0.0945074 | − | 0.283522i | ||||
\(241\) | −0.339746 | − | 0.196152i | −0.0218850 | − | 0.0126353i | 0.489018 | − | 0.872274i | \(-0.337355\pi\) |
−0.510903 | + | 0.859639i | \(0.670689\pi\) | |||||||
\(242\) | −1.29423 | + | 4.83013i | −0.0831962 | + | 0.310492i | ||||
\(243\) | −3.19615 | + | 11.9282i | −0.205033 | + | 0.765195i | ||||
\(244\) | 6.80385 | − | 3.92820i | 0.435572 | − | 0.251477i | ||||
\(245\) | −10.4019 | − | 11.6962i | −0.664555 | − | 0.747240i | ||||
\(246\) | −2.36603 | + | 4.09808i | −0.150852 | + | 0.261284i | ||||
\(247\) | 14.1962 | + | 3.80385i | 0.903280 | + | 0.242033i | ||||
\(248\) | −0.535898 | + | 0.143594i | −0.0340296 | + | 0.00911820i | ||||
\(249\) | −4.79423 | − | 2.76795i | −0.303822 | − | 0.175412i | ||||
\(250\) | 9.00000 | − | 13.0000i | 0.569210 | − | 0.822192i | ||||
\(251\) | −2.33975 | −0.147683 | −0.0738417 | − | 0.997270i | \(-0.523526\pi\) | ||||
−0.0738417 | + | 0.997270i | \(0.523526\pi\) | |||||||
\(252\) | 10.9282 | + | 9.46410i | 0.688412 | + | 0.596182i | ||||
\(253\) | −11.1962 | + | 11.1962i | −0.703896 | + | 0.703896i | ||||
\(254\) | 22.0000 | 1.38040 | ||||||||
\(255\) | −2.70577 | − | 4.09808i | −0.169442 | − | 0.256631i | ||||
\(256\) | 16.0000 | 1.00000 | ||||||||
\(257\) | −1.85641 | + | 6.92820i | −0.115799 | + | 0.432169i | −0.999345 | − | 0.0361749i | \(-0.988483\pi\) |
0.883546 | + | 0.468344i | \(0.155149\pi\) | |||||||
\(258\) | −0.633975 | + | 0.169873i | −0.0394695 | + | 0.0105758i | ||||
\(259\) | 0.339746 | + | 4.73205i | 0.0211108 | + | 0.294035i | ||||
\(260\) | −14.1962 | − | 12.5885i | −0.880408 | − | 0.780703i | ||||
\(261\) | 5.83013 | − | 3.36603i | 0.360876 | − | 0.208352i | ||||
\(262\) | 0.196152 | − | 0.732051i | 0.0121183 | − | 0.0452262i | ||||
\(263\) | −20.8923 | + | 5.59808i | −1.28827 | + | 0.345192i | −0.837005 | − | 0.547195i | \(-0.815695\pi\) |
−0.451270 | + | 0.892388i | \(0.649029\pi\) | |||||||
\(264\) | −3.46410 | + | 2.00000i | −0.213201 | + | 0.123091i | ||||
\(265\) | −24.5885 | + | 8.19615i | −1.51046 | + | 0.503486i | ||||
\(266\) | −12.9282 | + | 0.928203i | −0.792679 | + | 0.0569118i | ||||
\(267\) | 2.49038 | + | 2.49038i | 0.152409 | + | 0.152409i | ||||
\(268\) | −4.26795 | − | 15.9282i | −0.260706 | − | 0.972970i | ||||
\(269\) | −9.06218 | − | 5.23205i | −0.552531 | − | 0.319004i | 0.197611 | − | 0.980280i | \(-0.436682\pi\) |
−0.750142 | + | 0.661277i | \(0.770015\pi\) | |||||||
\(270\) | 0.562178 | + | 9.36603i | 0.0342131 | + | 0.569998i | ||||
\(271\) | −10.3923 | + | 6.00000i | −0.631288 | + | 0.364474i | −0.781251 | − | 0.624218i | \(-0.785418\pi\) |
0.149963 | + | 0.988692i | \(0.452085\pi\) | |||||||
\(272\) | 16.3923 | − | 4.39230i | 0.993929 | − | 0.266323i | ||||
\(273\) | −5.70577 | − | 1.09808i | −0.345329 | − | 0.0664586i | ||||
\(274\) | 6.00000 | − | 10.3923i | 0.362473 | − | 0.627822i | ||||
\(275\) | −12.5622 | − | 5.36603i | −0.757528 | − | 0.323584i | ||||
\(276\) | 6.00000 | 0.361158 | ||||||||
\(277\) | 14.0263 | − | 3.75833i | 0.842757 | − | 0.225816i | 0.188486 | − | 0.982076i | \(-0.439642\pi\) |
0.654272 | + | 0.756260i | \(0.272975\pi\) | |||||||
\(278\) | −4.73205 | + | 4.73205i | −0.283810 | + | 0.283810i | ||||
\(279\) | 0.535898 | 0.0320834 | ||||||||
\(280\) | 15.4641 | + | 6.39230i | 0.924157 | + | 0.382013i | ||||
\(281\) | 24.2487 | 1.44656 | 0.723278 | − | 0.690557i | \(-0.242634\pi\) | ||||
0.723278 | + | 0.690557i | \(0.242634\pi\) | |||||||
\(282\) | 4.73205 | − | 4.73205i | 0.281790 | − | 0.281790i | ||||
\(283\) | −5.36603 | + | 1.43782i | −0.318977 | + | 0.0854697i | −0.414755 | − | 0.909933i | \(-0.636133\pi\) |
0.0957780 | + | 0.995403i | \(0.469466\pi\) | |||||||
\(284\) | 17.0718i | 1.01302i | ||||||||
\(285\) | −3.00000 | − | 2.66025i | −0.177705 | − | 0.157580i | ||||
\(286\) | −8.19615 | + | 14.1962i | −0.484649 | + | 0.839436i | ||||
\(287\) | −5.59808 | − | 16.1603i | −0.330444 | − | 0.953910i | ||||
\(288\) | −14.9282 | − | 4.00000i | −0.879653 | − | 0.235702i | ||||
\(289\) | 0.866025 | − | 0.500000i | 0.0509427 | − | 0.0294118i | ||||
\(290\) | 5.16987 | − | 5.83013i | 0.303585 | − | 0.342357i | ||||
\(291\) | −6.16987 | − | 3.56218i | −0.361684 | − | 0.208819i | ||||
\(292\) | 21.6603 | − | 5.80385i | 1.26757 | − | 0.339644i | ||||
\(293\) | −6.19615 | − | 6.19615i | −0.361983 | − | 0.361983i | 0.502560 | − | 0.864543i | \(-0.332392\pi\) |
−0.864543 | + | 0.502560i | \(0.832392\pi\) | |||||||
\(294\) | 5.07180 | − | 0.732051i | 0.295793 | − | 0.0426941i | ||||
\(295\) | −4.92820 | + | 9.85641i | −0.286931 | + | 0.573862i | ||||
\(296\) | −2.53590 | − | 4.39230i | −0.147396 | − | 0.255298i | ||||
\(297\) | 7.83013 | − | 2.09808i | 0.454350 | − | 0.121743i | ||||
\(298\) | −1.95448 | + | 7.29423i | −0.113220 | + | 0.422543i | ||||
\(299\) | 21.2942 | − | 12.2942i | 1.23148 | − | 0.710994i | ||||
\(300\) | 1.92820 | + | 4.80385i | 0.111325 | + | 0.277350i | ||||
\(301\) | 1.03590 | − | 2.13397i | 0.0597082 | − | 0.123000i | ||||
\(302\) | 33.0526 | − | 8.85641i | 1.90196 | − | 0.509629i | ||||
\(303\) | −1.89230 | + | 7.06218i | −0.108710 | + | 0.405712i | ||||
\(304\) | 12.0000 | − | 6.92820i | 0.688247 | − | 0.397360i | ||||
\(305\) | −7.33013 | + | 4.83975i | −0.419722 | + | 0.277123i | ||||
\(306\) | −16.3923 | −0.937086 | ||||||||
\(307\) | 21.7583 | − | 21.7583i | 1.24181 | − | 1.24181i | 0.282565 | − | 0.959248i | \(-0.408815\pi\) |
0.959248 | − | 0.282565i | \(-0.0911854\pi\) | |||||||
\(308\) | 2.73205 | − | 14.1962i | 0.155673 | − | 0.808901i | ||||
\(309\) | 2.85641 | 0.162495 | ||||||||
\(310\) | 0.588457 | − | 0.196152i | 0.0334221 | − | 0.0111407i | ||||
\(311\) | −9.58846 | − | 5.53590i | −0.543712 | − | 0.313912i | 0.202870 | − | 0.979206i | \(-0.434973\pi\) |
−0.746582 | + | 0.665294i | \(0.768306\pi\) | |||||||
\(312\) | 6.00000 | − | 1.60770i | 0.339683 | − | 0.0910178i | ||||
\(313\) | 30.3205 | + | 8.12436i | 1.71382 | + | 0.459216i | 0.976355 | − | 0.216173i | \(-0.0693577\pi\) |
0.737461 | + | 0.675389i | \(0.236024\pi\) | |||||||
\(314\) | −5.53590 | + | 9.58846i | −0.312409 | + | 0.541108i | ||||
\(315\) | −12.8301 | − | 9.83013i | −0.722896 | − | 0.553865i | ||||
\(316\) | −0.928203 | − | 1.60770i | −0.0522155 | − | 0.0904399i | ||||
\(317\) | 2.63397 | − | 9.83013i | 0.147939 | − | 0.552115i | −0.851668 | − | 0.524081i | \(-0.824409\pi\) |
0.999607 | − | 0.0280336i | \(-0.00892455\pi\) | |||||||
\(318\) | 2.19615 | − | 8.19615i | 0.123154 | − | 0.459617i | ||||
\(319\) | −5.83013 | − | 3.36603i | −0.326424 | − | 0.188461i | ||||
\(320\) | −17.8564 | + | 1.07180i | −0.998203 | + | 0.0599153i | ||||
\(321\) | − | 6.66025i | − | 0.371739i | ||||||
\(322\) | −14.1962 | + | 16.3923i | −0.791121 | + | 0.913507i | ||||
\(323\) | 10.3923 | − | 10.3923i | 0.578243 | − | 0.578243i | ||||
\(324\) | 11.5359 | + | 6.66025i | 0.640883 | + | 0.370014i | ||||
\(325\) | 16.6865 | + | 13.0981i | 0.925602 | + | 0.726551i | ||||
\(326\) | 14.6603 | + | 25.3923i | 0.811956 | + | 1.40635i | ||||
\(327\) | 1.03590 | − | 3.86603i | 0.0572853 | − | 0.213792i | ||||
\(328\) | 12.9282 | + | 12.9282i | 0.713841 | + | 0.713841i | ||||
\(329\) | 1.73205 | + | 24.1244i | 0.0954911 | + | 1.33002i | ||||
\(330\) | 3.73205 | − | 2.46410i | 0.205443 | − | 0.135644i | ||||
\(331\) | −9.29423 | + | 5.36603i | −0.510857 | + | 0.294943i | −0.733186 | − | 0.680028i | \(-0.761967\pi\) |
0.222329 | + | 0.974972i | \(0.428634\pi\) | |||||||
\(332\) | −15.1244 | + | 15.1244i | −0.830057 | + | 0.830057i | ||||
\(333\) | 1.26795 | + | 4.73205i | 0.0694832 | + | 0.259315i | ||||
\(334\) | 24.5885i | 1.34542i | ||||||||
\(335\) | 5.83013 | + | 17.4904i | 0.318534 | + | 0.955602i | ||||
\(336\) | −4.53590 | + | 3.07180i | −0.247454 | + | 0.167580i | ||||
\(337\) | −2.33975 | + | 2.33975i | −0.127454 | + | 0.127454i | −0.767956 | − | 0.640502i | \(-0.778726\pi\) |
0.640502 | + | 0.767956i | \(0.278726\pi\) | |||||||
\(338\) | 5.00000 | − | 5.00000i | 0.271964 | − | 0.271964i | ||||
\(339\) | −6.00000 | − | 3.46410i | −0.325875 | − | 0.188144i | ||||
\(340\) | −18.0000 | + | 6.00000i | −0.976187 | + | 0.325396i | ||||
\(341\) | −0.267949 | − | 0.464102i | −0.0145103 | − | 0.0251325i | ||||
\(342\) | −12.9282 | + | 3.46410i | −0.699077 | + | 0.187317i | ||||
\(343\) | −10.0000 | + | 15.5885i | −0.539949 | + | 0.841698i | ||||
\(344\) | 2.53590i | 0.136726i | ||||||||
\(345\) | −6.69615 | + | 0.401924i | −0.360509 | + | 0.0216388i | ||||
\(346\) | 30.5885 | − | 17.6603i | 1.64445 | − | 0.949421i | ||||
\(347\) | −18.3564 | + | 4.91858i | −0.985424 | + | 0.264043i | −0.715327 | − | 0.698790i | \(-0.753722\pi\) |
−0.270096 | + | 0.962833i | \(0.587056\pi\) | |||||||
\(348\) | 0.660254 | + | 2.46410i | 0.0353933 | + | 0.132090i | ||||
\(349\) | 31.9808i | 1.71189i | 0.517066 | + | 0.855945i | \(0.327024\pi\) | ||||
−0.517066 | + | 0.855945i | \(0.672976\pi\) | |||||||
\(350\) | −17.6865 | − | 6.09808i | −0.945385 | − | 0.325956i | ||||
\(351\) | −12.5885 | −0.671922 | ||||||||
\(352\) | 4.00000 | + | 14.9282i | 0.213201 | + | 0.795676i | ||||
\(353\) | −4.60770 | − | 17.1962i | −0.245243 | − | 0.915259i | −0.973261 | − | 0.229701i | \(-0.926225\pi\) |
0.728018 | − | 0.685558i | \(-0.240442\pi\) | |||||||
\(354\) | −1.80385 | − | 3.12436i | −0.0958734 | − | 0.166058i | ||||
\(355\) | −1.14359 | − | 19.0526i | −0.0606956 | − | 1.01120i | ||||
\(356\) | 11.7846 | − | 6.80385i | 0.624583 | − | 0.360603i | ||||
\(357\) | −3.80385 | + | 4.39230i | −0.201321 | + | 0.232465i | ||||
\(358\) | −32.8564 | + | 8.80385i | −1.73652 | + | 0.465298i | ||||
\(359\) | −1.09808 | + | 0.633975i | −0.0579542 | + | 0.0334599i | −0.528697 | − | 0.848811i | \(-0.677319\pi\) |
0.470743 | + | 0.882270i | \(0.343986\pi\) | |||||||
\(360\) | 16.9282 | + | 3.46410i | 0.892195 | + | 0.182574i | ||||
\(361\) | −3.50000 | + | 6.06218i | −0.184211 | + | 0.319062i | ||||
\(362\) | 22.5167 | + | 22.5167i | 1.18345 | + | 1.18345i | ||||
\(363\) | 1.29423 | + | 1.29423i | 0.0679294 | + | 0.0679294i | ||||
\(364\) | −9.80385 | + | 20.1962i | −0.513861 | + | 1.05857i | ||||
\(365\) | −23.7846 | + | 7.92820i | −1.24494 | + | 0.414981i | ||||
\(366\) | − | 2.87564i | − | 0.150312i | ||||||
\(367\) | −15.1603 | + | 4.06218i | −0.791359 | + | 0.212044i | −0.631787 | − | 0.775142i | \(-0.717678\pi\) |
−0.159572 | + | 0.987186i | \(0.551011\pi\) | |||||||
\(368\) | 6.00000 | − | 22.3923i | 0.312772 | − | 1.16728i | ||||
\(369\) | −8.83013 | − | 15.2942i | −0.459678 | − | 0.796186i | ||||
\(370\) | 3.12436 | + | 4.73205i | 0.162428 | + | 0.246008i | ||||
\(371\) | 17.1962 | + | 25.3923i | 0.892780 | + | 1.31830i | ||||
\(372\) | −0.0525589 | + | 0.196152i | −0.00272505 | + | 0.0101700i | ||||
\(373\) | −9.46410 | − | 2.53590i | −0.490033 | − | 0.131304i | 0.00533769 | − | 0.999986i | \(-0.498301\pi\) |
−0.495370 | + | 0.868682i | \(0.664968\pi\) | |||||||
\(374\) | 8.19615 | + | 14.1962i | 0.423813 | + | 0.734066i | ||||
\(375\) | −2.47372 | − | 5.23205i | −0.127742 | − | 0.270182i | ||||
\(376\) | −12.9282 | − | 22.3923i | −0.666721 | − | 1.15479i | ||||
\(377\) | 7.39230 | + | 7.39230i | 0.380723 | + | 0.380723i | ||||
\(378\) | 10.4904 | − | 3.63397i | 0.539567 | − | 0.186911i | ||||
\(379\) | −18.2487 | −0.937373 | −0.468687 | − | 0.883364i | \(-0.655273\pi\) | ||||
−0.468687 | + | 0.883364i | \(0.655273\pi\) | |||||||
\(380\) | −12.9282 | + | 8.53590i | −0.663203 | + | 0.437882i | ||||
\(381\) | 4.02628 | − | 6.97372i | 0.206273 | − | 0.357275i | ||||
\(382\) | 7.73205 | − | 28.8564i | 0.395606 | − | 1.47642i | ||||
\(383\) | 4.96410 | + | 1.33013i | 0.253654 | + | 0.0679663i | 0.383405 | − | 0.923580i | \(-0.374751\pi\) |
−0.129751 | + | 0.991547i | \(0.541418\pi\) | |||||||
\(384\) | 2.92820 | − | 5.07180i | 0.149429 | − | 0.258819i | ||||
\(385\) | −2.09808 | + | 16.0263i | −0.106928 | + | 0.816775i | ||||
\(386\) | 2.66025 | + | 1.53590i | 0.135403 | + | 0.0781752i | ||||
\(387\) | 0.633975 | − | 2.36603i | 0.0322267 | − | 0.120272i | ||||
\(388\) | −19.4641 | + | 19.4641i | −0.988140 | + | 0.988140i | ||||
\(389\) | 14.4641 | − | 25.0526i | 0.733359 | − | 1.27022i | −0.222080 | − | 0.975028i | \(-0.571285\pi\) |
0.955440 | − | 0.295187i | \(-0.0953819\pi\) | |||||||
\(390\) | −6.58846 | + | 2.19615i | −0.333620 | + | 0.111207i | ||||
\(391\) | − | 24.5885i | − | 1.24349i | ||||||
\(392\) | 2.33975 | − | 19.6603i | 0.118175 | − | 0.992993i | ||||
\(393\) | −0.196152 | − | 0.196152i | −0.00989458 | − | 0.00989458i | ||||
\(394\) | − | 24.9282i | − | 1.25586i | ||||||
\(395\) | 1.14359 | + | 1.73205i | 0.0575404 | + | 0.0871489i | ||||
\(396\) | − | 14.9282i | − | 0.750170i | ||||||
\(397\) | −2.83013 | − | 0.758330i | −0.142040 | − | 0.0380595i | 0.187099 | − | 0.982341i | \(-0.440092\pi\) |
−0.329139 | + | 0.944282i | \(0.606758\pi\) | |||||||
\(398\) | −4.73205 | + | 1.26795i | −0.237196 | + | 0.0635566i | ||||
\(399\) | −2.07180 | + | 4.26795i | −0.103720 | + | 0.213665i | ||||
\(400\) | 19.8564 | − | 2.39230i | 0.992820 | − | 0.119615i | ||||
\(401\) | −12.3564 | − | 21.4019i | −0.617049 | − | 1.06876i | −0.990021 | − | 0.140918i | \(-0.954994\pi\) |
0.372972 | − | 0.927843i | \(-0.378339\pi\) | |||||||
\(402\) | −5.83013 | − | 1.56218i | −0.290780 | − | 0.0779143i | ||||
\(403\) | 0.215390 | + | 0.803848i | 0.0107294 | + | 0.0400425i | ||||
\(404\) | 24.4641 | + | 14.1244i | 1.21713 | + | 0.702713i | ||||
\(405\) | −13.3205 | − | 6.66025i | −0.661901 | − | 0.330951i | ||||
\(406\) | −8.29423 | − | 4.02628i | −0.411636 | − | 0.199821i | ||||
\(407\) | 3.46410 | − | 3.46410i | 0.171709 | − | 0.171709i | ||||
\(408\) | 1.60770 | − | 6.00000i | 0.0795928 | − | 0.297044i | ||||
\(409\) | −4.69615 | + | 8.13397i | −0.232210 | + | 0.402199i | −0.958458 | − | 0.285233i | \(-0.907929\pi\) |
0.726248 | + | 0.687432i | \(0.241262\pi\) | |||||||
\(410\) | −15.2942 | − | 13.5622i | −0.755328 | − | 0.669788i | ||||
\(411\) | −2.19615 | − | 3.80385i | −0.108328 | − | 0.187630i | ||||
\(412\) | 2.85641 | − | 10.6603i | 0.140725 | − | 0.525193i | ||||
\(413\) | 12.8038 | + | 2.46410i | 0.630036 | + | 0.121251i | ||||
\(414\) | −11.1962 | + | 19.3923i | −0.550261 | + | 0.953080i | ||||
\(415\) | 15.8660 | − | 17.8923i | 0.778833 | − | 0.878299i | ||||
\(416\) | − | 24.0000i | − | 1.17670i | ||||||
\(417\) | 0.633975 | + | 2.36603i | 0.0310459 | + | 0.115865i | ||||
\(418\) | 9.46410 | + | 9.46410i | 0.462904 | + | 0.462904i | ||||
\(419\) | 18.3923i | 0.898523i | 0.893400 | + | 0.449261i | \(0.148313\pi\) | ||||
−0.893400 | + | 0.449261i | \(0.851687\pi\) | |||||||
\(420\) | 4.85641 | − | 3.73205i | 0.236968 | − | 0.182105i | ||||
\(421\) | 5.87564i | 0.286361i | 0.989697 | + | 0.143181i | \(0.0457330\pi\) | ||||
−0.989697 | + | 0.143181i | \(0.954267\pi\) | |||||||
\(422\) | −27.4641 | + | 27.4641i | −1.33693 | + | 1.33693i | ||||
\(423\) | 6.46410 | + | 24.1244i | 0.314295 | + | 1.17297i | ||||
\(424\) | −28.3923 | − | 16.3923i | −1.37885 | − | 0.796081i | ||||
\(425\) | 19.6865 | − | 7.90192i | 0.954937 | − | 0.383300i | ||||
\(426\) | 5.41154 | + | 3.12436i | 0.262190 | + | 0.151376i | ||||
\(427\) | 7.85641 | + | 6.80385i | 0.380198 | + | 0.329261i | ||||
\(428\) | −24.8564 | − | 6.66025i | −1.20148 | − | 0.321936i | ||||
\(429\) | 3.00000 | + | 5.19615i | 0.144841 | + | 0.250873i | ||||
\(430\) | −0.169873 | − | 2.83013i | −0.00819200 | − | 0.136481i | ||||
\(431\) | 8.36603 | − | 14.4904i | 0.402977 | − | 0.697977i | −0.591106 | − | 0.806594i | \(-0.701309\pi\) |
0.994084 | + | 0.108616i | \(0.0346420\pi\) | |||||||
\(432\) | −8.39230 | + | 8.39230i | −0.403775 | + | 0.403775i | ||||
\(433\) | −4.53590 | + | 4.53590i | −0.217981 | + | 0.217981i | −0.807647 | − | 0.589666i | \(-0.799259\pi\) |
0.589666 | + | 0.807647i | \(0.299259\pi\) | |||||||
\(434\) | −0.411543 | − | 0.607695i | −0.0197547 | − | 0.0291703i | ||||
\(435\) | −0.901924 | − | 2.70577i | −0.0432439 | − | 0.129732i | ||||
\(436\) | −13.3923 | − | 7.73205i | −0.641375 | − | 0.370298i | ||||
\(437\) | −5.19615 | − | 19.3923i | −0.248566 | − | 0.927660i | ||||
\(438\) | 2.12436 | − | 7.92820i | 0.101506 | − | 0.378824i | ||||
\(439\) | 14.6603 | + | 25.3923i | 0.699696 | + | 1.21191i | 0.968572 | + | 0.248734i | \(0.0800144\pi\) |
−0.268876 | + | 0.963175i | \(0.586652\pi\) | |||||||
\(440\) | −5.46410 | − | 16.3923i | −0.260491 | − | 0.781472i | ||||
\(441\) | −7.09808 | + | 17.7583i | −0.338004 | + | 0.845635i | ||||
\(442\) | −6.58846 | − | 24.5885i | −0.313381 | − | 1.16955i | ||||
\(443\) | 21.0622 | + | 5.64359i | 1.00069 | + | 0.268135i | 0.721736 | − | 0.692168i | \(-0.243344\pi\) |
0.278958 | + | 0.960303i | \(0.410011\pi\) | |||||||
\(444\) | −1.85641 | −0.0881012 | ||||||||
\(445\) | −12.6962 | + | 8.38269i | −0.601855 | + | 0.397377i | ||||
\(446\) | 11.8564 | 0.561417 | ||||||||
\(447\) | 1.95448 | + | 1.95448i | 0.0924439 | + | 0.0924439i | ||||
\(448\) | 6.92820 | + | 20.0000i | 0.327327 | + | 0.944911i | ||||
\(449\) | − | 12.8038i | − | 0.604251i | −0.953268 | − | 0.302125i | \(-0.902304\pi\) | ||
0.953268 | − | 0.302125i | \(-0.0976962\pi\) | |||||||
\(450\) | −19.1244 | − | 2.73205i | −0.901531 | − | 0.128790i | ||||
\(451\) | −8.83013 | + | 15.2942i | −0.415794 | + | 0.720177i | ||||
\(452\) | −18.9282 | + | 18.9282i | −0.890308 | + | 0.890308i | ||||
\(453\) | 3.24167 | − | 12.0981i | 0.152307 | − | 0.568417i | ||||
\(454\) | 11.3923 | − | 19.7321i | 0.534667 | − | 0.926071i | ||||
\(455\) | 9.58846 | − | 23.1962i | 0.449514 | − | 1.08745i | ||||
\(456\) | − | 5.07180i | − | 0.237509i | ||||||
\(457\) | −0.267949 | − | 0.0717968i | −0.0125341 | − | 0.00335851i | 0.252547 | − | 0.967585i | \(-0.418732\pi\) |
−0.265081 | + | 0.964226i | \(0.585399\pi\) | |||||||
\(458\) | −11.6603 | − | 3.12436i | −0.544848 | − | 0.145992i | ||||
\(459\) | −6.29423 | + | 10.9019i | −0.293789 | + | 0.508858i | ||||
\(460\) | −5.19615 | + | 25.3923i | −0.242272 | + | 1.18392i | ||||
\(461\) | −39.8564 | −1.85630 | −0.928149 | − | 0.372209i | \(-0.878600\pi\) | ||||
−0.928149 | + | 0.372209i | \(0.878600\pi\) | |||||||
\(462\) | −4.00000 | − | 3.46410i | −0.186097 | − | 0.161165i | ||||
\(463\) | −7.83013 | − | 7.83013i | −0.363897 | − | 0.363897i | 0.501349 | − | 0.865245i | \(-0.332837\pi\) |
−0.865245 | + | 0.501349i | \(0.832837\pi\) | |||||||
\(464\) | 9.85641 | 0.457572 | ||||||||
\(465\) | 0.0455173 | − | 0.222432i | 0.00211082 | − | 0.0103150i | ||||
\(466\) | −9.00000 | + | 5.19615i | −0.416917 | + | 0.240707i | ||||
\(467\) | −10.3301 | − | 2.76795i | −0.478021 | − | 0.128085i | 0.0117598 | − | 0.999931i | \(-0.496257\pi\) |
−0.489781 | + | 0.871845i | \(0.662923\pi\) | |||||||
\(468\) | −6.00000 | + | 22.3923i | −0.277350 | + | 1.03508i | ||||
\(469\) | 18.0622 | − | 12.2321i | 0.834034 | − | 0.564824i | ||||
\(470\) | 15.9282 | + | 24.1244i | 0.734713 | + | 1.11277i | ||||
\(471\) | 2.02628 | + | 3.50962i | 0.0933660 | + | 0.161715i | ||||
\(472\) | −13.4641 | + | 3.60770i | −0.619736 | + | 0.166058i | ||||
\(473\) | −2.36603 | + | 0.633975i | −0.108790 | + | 0.0291502i | ||||
\(474\) | −0.679492 | −0.0312101 | ||||||||
\(475\) | 13.8564 | − | 10.3923i | 0.635776 | − | 0.476832i | ||||
\(476\) | 12.5885 | + | 18.5885i | 0.576991 | + | 0.852001i | ||||
\(477\) | 22.3923 | + | 22.3923i | 1.02527 | + | 1.02527i | ||||
\(478\) | −1.26795 | + | 1.26795i | −0.0579946 | + | 0.0579946i | ||||
\(479\) | 7.09808 | − | 12.2942i | 0.324319 | − | 0.561738i | −0.657055 | − | 0.753843i | \(-0.728198\pi\) |
0.981374 | + | 0.192105i | \(0.0615314\pi\) | |||||||
\(480\) | −2.92820 | + | 5.85641i | −0.133654 | + | 0.267307i | ||||
\(481\) | −6.58846 | + | 3.80385i | −0.300408 | + | 0.173441i | ||||
\(482\) | 0.143594 | + | 0.535898i | 0.00654051 | + | 0.0244095i | ||||
\(483\) | 2.59808 | + | 7.50000i | 0.118217 | + | 0.341262i | ||||
\(484\) | 6.12436 | − | 3.53590i | 0.278380 | − | 0.160723i | ||||
\(485\) | 20.4186 | − | 23.0263i | 0.927160 | − | 1.04557i | ||||
\(486\) | 15.1244 | − | 8.73205i | 0.686055 | − | 0.396094i | ||||
\(487\) | 0.0262794 | + | 0.0980762i | 0.00119084 | + | 0.00444426i | 0.966519 | − | 0.256596i | \(-0.0826011\pi\) |
−0.965328 | + | 0.261040i | \(0.915934\pi\) | |||||||
\(488\) | −10.7321 | − | 2.87564i | −0.485817 | − | 0.130174i | ||||
\(489\) | 10.7321 | 0.485320 | ||||||||
\(490\) | −1.29423 | + | 22.0981i | −0.0584673 | + | 0.998289i | ||||
\(491\) | 1.80385i | 0.0814065i | 0.999171 | + | 0.0407033i | \(0.0129598\pi\) | ||||
−0.999171 | + | 0.0407033i | \(0.987040\pi\) | |||||||
\(492\) | 6.46410 | − | 1.73205i | 0.291424 | − | 0.0780869i | ||||
\(493\) | 10.0981 | − | 2.70577i | 0.454794 | − | 0.121862i | ||||
\(494\) | −10.3923 | − | 18.0000i | −0.467572 | − | 0.809858i | ||||
\(495\) | 1.00000 | + | 16.6603i | 0.0449467 | + | 0.748823i | ||||
\(496\) | 0.679492 | + | 0.392305i | 0.0305101 | + | 0.0176150i | ||||
\(497\) | −21.3397 | + | 7.39230i | −0.957218 | + | 0.331590i | ||||
\(498\) | 2.02628 | + | 7.56218i | 0.0907998 | + | 0.338869i | ||||
\(499\) | 15.7583 | + | 27.2942i | 0.705440 | + | 1.22186i | 0.966533 | + | 0.256544i | \(0.0825838\pi\) |
−0.261093 | + | 0.965314i | \(0.584083\pi\) | |||||||
\(500\) | −22.0000 | + | 4.00000i | −0.983870 | + | 0.178885i | ||||
\(501\) | 7.79423 | + | 4.50000i | 0.348220 | + | 0.201045i | ||||
\(502\) | 2.33975 | + | 2.33975i | 0.104428 | + | 0.104428i | ||||
\(503\) | 13.6865 | − | 13.6865i | 0.610252 | − | 0.610252i | −0.332759 | − | 0.943012i | \(-0.607980\pi\) |
0.943012 | + | 0.332759i | \(0.107980\pi\) | |||||||
\(504\) | −1.46410 | − | 20.3923i | −0.0652163 | − | 0.908345i | ||||
\(505\) | −28.2487 | − | 14.1244i | −1.25705 | − | 0.628526i | ||||
\(506\) | 22.3923 | 0.995459 | ||||||||
\(507\) | −0.669873 | − | 2.50000i | −0.0297501 | − | 0.111029i | ||||
\(508\) | −22.0000 | − | 22.0000i | −0.976092 | − | 0.976092i | ||||
\(509\) | −23.4282 | + | 13.5263i | −1.03844 | + | 0.599542i | −0.919390 | − | 0.393347i | \(-0.871317\pi\) |
−0.119047 | + | 0.992889i | \(0.537984\pi\) | |||||||
\(510\) | −1.39230 | + | 6.80385i | −0.0616523 | + | 0.301279i | ||||
\(511\) | 16.6340 | + | 24.5622i | 0.735844 | + | 1.08657i | ||||
\(512\) | −16.0000 | − | 16.0000i | −0.707107 | − | 0.707107i | ||||
\(513\) | −2.66025 | + | 9.92820i | −0.117453 | + | 0.438341i | ||||
\(514\) | 8.78461 | − | 5.07180i | 0.387473 | − | 0.223707i | ||||
\(515\) | −2.47372 | + | 12.0885i | −0.109005 | + | 0.532681i | ||||
\(516\) | 0.803848 | + | 0.464102i | 0.0353874 | + | 0.0204309i | ||||
\(517\) | 17.6603 | − | 17.6603i | 0.776697 | − | 0.776697i | ||||
\(518\) | 4.39230 | − | 5.07180i | 0.192987 | − | 0.222842i | ||||
\(519\) | − | 12.9282i | − | 0.567485i | ||||||
\(520\) | 1.60770 | + | 26.7846i | 0.0705021 | + | 1.17458i | ||||
\(521\) | −13.3923 | − | 7.73205i | −0.586728 | − | 0.338747i | 0.177075 | − | 0.984197i | \(-0.443337\pi\) |
−0.763802 | + | 0.645450i | \(0.776670\pi\) | |||||||
\(522\) | −9.19615 | − | 2.46410i | −0.402505 | − | 0.107851i | ||||
\(523\) | −8.70577 | + | 32.4904i | −0.380677 | + | 1.42071i | 0.464193 | + | 0.885734i | \(0.346344\pi\) |
−0.844870 | + | 0.534971i | \(0.820322\pi\) | |||||||
\(524\) | −0.928203 | + | 0.535898i | −0.0405487 | + | 0.0234108i | ||||
\(525\) | −5.16987 | + | 4.49038i | −0.225632 | + | 0.195976i | ||||
\(526\) | 26.4904 | + | 15.2942i | 1.15504 | + | 0.666860i | ||||
\(527\) | 0.803848 | + | 0.215390i | 0.0350162 | + | 0.00938255i | ||||
\(528\) | 5.46410 | + | 1.46410i | 0.237795 | + | 0.0637168i | ||||
\(529\) | −9.16987 | − | 5.29423i | −0.398690 | − | 0.230184i | ||||
\(530\) | 32.7846 | + | 16.3923i | 1.42407 | + | 0.712036i | ||||
\(531\) | 13.4641 | 0.584292 | ||||||||
\(532\) | 13.8564 | + | 12.0000i | 0.600751 | + | 0.520266i | ||||
\(533\) | 19.3923 | − | 19.3923i | 0.839974 | − | 0.839974i | ||||
\(534\) | − | 4.98076i | − | 0.215539i | ||||||
\(535\) | 28.1865 | + | 5.76795i | 1.21861 | + | 0.249370i | ||||
\(536\) | −11.6603 | + | 20.1962i | −0.503646 | + | 0.872341i | ||||
\(537\) | −3.22243 | + | 12.0263i | −0.139058 | + | 0.518972i | ||||
\(538\) | 3.83013 | + | 14.2942i | 0.165129 | + | 0.616268i | ||||
\(539\) | 18.9282 | − | 2.73205i | 0.815295 | − | 0.117678i | ||||
\(540\) | 8.80385 | − | 9.92820i | 0.378857 | − | 0.427242i | ||||
\(541\) | −13.7942 | + | 7.96410i | −0.593060 | + | 0.342403i | −0.766307 | − | 0.642475i | \(-0.777908\pi\) |
0.173246 | + | 0.984879i | \(0.444574\pi\) | |||||||
\(542\) | 16.3923 | + | 4.39230i | 0.704110 | + | 0.188666i | ||||
\(543\) | 11.2583 | − | 3.01666i | 0.483141 | − | 0.129457i | ||||
\(544\) | −20.7846 | − | 12.0000i | −0.891133 | − | 0.514496i | ||||
\(545\) | 15.4641 | + | 7.73205i | 0.662409 | + | 0.331205i | ||||
\(546\) | 4.60770 | + | 6.80385i | 0.197191 | + | 0.291178i | ||||
\(547\) | −11.4904 | − | 11.4904i | −0.491293 | − | 0.491293i | 0.417420 | − | 0.908714i | \(-0.362934\pi\) |
−0.908714 | + | 0.417420i | \(0.862934\pi\) | |||||||
\(548\) | −16.3923 | + | 4.39230i | −0.700245 | + | 0.187630i | ||||
\(549\) | 9.29423 | + | 5.36603i | 0.396668 | + | 0.229016i | ||||
\(550\) | 7.19615 | + | 17.9282i | 0.306845 | + | 0.764461i | ||||
\(551\) | 7.39230 | − | 4.26795i | 0.314923 | − | 0.181821i | ||||
\(552\) | −6.00000 | − | 6.00000i | −0.255377 | − | 0.255377i | ||||
\(553\) | 1.60770 | − | 1.85641i | 0.0683662 | − | 0.0789424i | ||||
\(554\) | −17.7846 | − | 10.2679i | −0.755596 | − | 0.436243i | ||||
\(555\) | 2.07180 | − | 0.124356i | 0.0879429 | − | 0.00527860i | ||||
\(556\) | 9.46410 | 0.401367 | ||||||||
\(557\) | −30.7583 | + | 8.24167i | −1.30327 | + | 0.349211i | −0.842687 | − | 0.538404i | \(-0.819027\pi\) |
−0.460586 | + | 0.887615i | \(0.652361\pi\) | |||||||
\(558\) | −0.535898 | − | 0.535898i | −0.0226864 | − | 0.0226864i | ||||
\(559\) | 3.80385 | 0.160886 | ||||||||
\(560\) | −9.07180 | − | 21.8564i | −0.383353 | − | 0.923602i | ||||
\(561\) | 6.00000 | 0.253320 | ||||||||
\(562\) | −24.2487 | − | 24.2487i | −1.02287 | − | 1.02287i | ||||
\(563\) | −5.06218 | + | 1.35641i | −0.213345 | + | 0.0571657i | −0.363909 | − | 0.931435i | \(-0.618558\pi\) |
0.150563 | + | 0.988600i | \(0.451891\pi\) | |||||||
\(564\) | −9.46410 | −0.398511 | ||||||||
\(565\) | 19.8564 | − | 22.3923i | 0.835365 | − | 0.942051i | ||||
\(566\) | 6.80385 | + | 3.92820i | 0.285987 | + | 0.165115i | ||||
\(567\) | −3.33013 | + | 17.3038i | −0.139852 | + | 0.726693i | ||||
\(568\) | 17.0718 | − | 17.0718i | 0.716317 | − | 0.716317i | ||||
\(569\) | 29.1962 | − | 16.8564i | 1.22397 | − | 0.706657i | 0.258205 | − | 0.966090i | \(-0.416869\pi\) |
0.965761 | + | 0.259433i | \(0.0835356\pi\) | |||||||
\(570\) | 0.339746 | + | 5.66025i | 0.0142304 | + | 0.237082i | ||||
\(571\) | 26.7846 | + | 15.4641i | 1.12090 | + | 0.647153i | 0.941631 | − | 0.336647i | \(-0.109293\pi\) |
0.179270 | + | 0.983800i | \(0.442626\pi\) | |||||||
\(572\) | 22.3923 | − | 6.00000i | 0.936269 | − | 0.250873i | ||||
\(573\) | −7.73205 | − | 7.73205i | −0.323011 | − | 0.323011i | ||||
\(574\) | −10.5622 | + | 21.7583i | −0.440857 | + | 0.908175i | ||||
\(575\) | 4.09808 | − | 28.6865i | 0.170902 | − | 1.19631i | ||||
\(576\) | 10.9282 | + | 18.9282i | 0.455342 | + | 0.788675i | ||||
\(577\) | 35.4186 | − | 9.49038i | 1.47449 | − | 0.395090i | 0.570025 | − | 0.821627i | \(-0.306933\pi\) |
0.904470 | + | 0.426538i | \(0.140267\pi\) | |||||||
\(578\) | −1.36603 | − | 0.366025i | −0.0568192 | − | 0.0152246i | ||||
\(579\) | 0.973721 | − | 0.562178i | 0.0404664 | − | 0.0233633i | ||||
\(580\) | −11.0000 | + | 0.660254i | −0.456750 | + | 0.0274156i | ||||
\(581\) | −25.4545 | − | 12.3564i | −1.05603 | − | 0.512630i | ||||
\(582\) | 2.60770 | + | 9.73205i | 0.108092 | + | 0.403406i | ||||
\(583\) | 8.19615 | − | 30.5885i | 0.339450 | − | 1.26684i | ||||
\(584\) | −27.4641 | − | 15.8564i | −1.13647 | − | 0.656143i | ||||
\(585\) | 5.19615 | − | 25.3923i | 0.214834 | − | 1.04984i | ||||
\(586\) | 12.3923i | 0.511921i | ||||||||
\(587\) | 9.00000 | − | 9.00000i | 0.371470 | − | 0.371470i | −0.496543 | − | 0.868012i | \(-0.665397\pi\) |
0.868012 | + | 0.496543i | \(0.165397\pi\) | |||||||
\(588\) | −5.80385 | − | 4.33975i | −0.239347 | − | 0.178968i | ||||
\(589\) | 0.679492 | 0.0279980 | ||||||||
\(590\) | 14.7846 | − | 4.92820i | 0.608673 | − | 0.202891i | ||||
\(591\) | −7.90192 | − | 4.56218i | −0.325042 | − | 0.187663i | ||||
\(592\) | −1.85641 | + | 6.92820i | −0.0762978 | + | 0.284747i | ||||
\(593\) | −14.1962 | − | 3.80385i | −0.582966 | − | 0.156205i | −0.0447296 | − | 0.998999i | \(-0.514243\pi\) |
−0.538237 | + | 0.842794i | \(0.680909\pi\) | |||||||
\(594\) | −9.92820 | − | 5.73205i | −0.407359 | − | 0.235189i | ||||
\(595\) | −15.2942 | − | 19.9019i | −0.627002 | − | 0.815899i | ||||
\(596\) | 9.24871 | − | 5.33975i | 0.378842 | − | 0.218725i | ||||
\(597\) | −0.464102 | + | 1.73205i | −0.0189944 | + | 0.0708881i | ||||
\(598\) | −33.5885 | − | 9.00000i | −1.37353 | − | 0.368037i | ||||
\(599\) | 21.0000 | + | 12.1244i | 0.858037 | + | 0.495388i | 0.863354 | − | 0.504598i | \(-0.168359\pi\) |
−0.00531761 | + | 0.999986i | \(0.501693\pi\) | |||||||
\(600\) | 2.87564 | − | 6.73205i | 0.117398 | − | 0.274835i | ||||
\(601\) | 7.60770i | 0.310324i | 0.987889 | + | 0.155162i | \(0.0495900\pi\) | ||||
−0.987889 | + | 0.155162i | \(0.950410\pi\) | |||||||
\(602\) | −3.16987 | + | 1.09808i | −0.129194 | + | 0.0447542i | ||||
\(603\) | 15.9282 | − | 15.9282i | 0.648647 | − | 0.648647i | ||||
\(604\) | −41.9090 | − | 24.1962i | −1.70525 | − | 0.984527i | ||||
\(605\) | −6.59808 | + | 4.35641i | −0.268250 | + | 0.177113i | ||||
\(606\) | 8.95448 | − | 5.16987i | 0.363751 | − | 0.210012i | ||||
\(607\) | 2.99038 | − | 11.1603i | 0.121376 | − | 0.452981i | −0.878309 | − | 0.478094i | \(-0.841328\pi\) |
0.999685 | + | 0.0251130i | \(0.00799457\pi\) | |||||||
\(608\) | −18.9282 | − | 5.07180i | −0.767640 | − | 0.205689i | ||||
\(609\) | −2.79423 | + | 1.89230i | −0.113228 | + | 0.0766801i | ||||
\(610\) | 12.1699 | + | 2.49038i | 0.492744 | + | 0.100833i | ||||
\(611\) | −33.5885 | + | 19.3923i | −1.35884 | + | 0.784529i | ||||
\(612\) | 16.3923 | + | 16.3923i | 0.662620 | + | 0.662620i | ||||
\(613\) | −3.63397 | − | 13.5622i | −0.146775 | − | 0.547771i | −0.999670 | − | 0.0256889i | \(-0.991822\pi\) |
0.852895 | − | 0.522082i | \(-0.174845\pi\) | |||||||
\(614\) | −43.5167 | −1.75619 | ||||||||
\(615\) | −7.09808 | + | 2.36603i | −0.286222 | + | 0.0954074i | ||||
\(616\) | −16.9282 | + | 11.4641i | −0.682057 | + | 0.461902i | ||||
\(617\) | 12.9282 | − | 12.9282i | 0.520470 | − | 0.520470i | −0.397243 | − | 0.917713i | \(-0.630033\pi\) |
0.917713 | + | 0.397243i | \(0.130033\pi\) | |||||||
\(618\) | −2.85641 | − | 2.85641i | −0.114902 | − | 0.114902i | ||||
\(619\) | 0.294229 | + | 0.169873i | 0.0118260 | + | 0.00682777i | 0.505901 | − | 0.862591i | \(-0.331160\pi\) |
−0.494075 | + | 0.869419i | \(0.664493\pi\) | |||||||
\(620\) | −0.784610 | − | 0.392305i | −0.0315107 | − | 0.0157553i | ||||
\(621\) | 8.59808 | + | 14.8923i | 0.345029 | + | 0.597608i | ||||
\(622\) | 4.05256 | + | 15.1244i | 0.162493 | + | 0.606431i | ||||
\(623\) | 13.6077 | + | 11.7846i | 0.545181 | + | 0.472140i | ||||
\(624\) | −7.60770 | − | 4.39230i | −0.304552 | − | 0.175833i | ||||
\(625\) | 24.2846 | − | 5.93782i | 0.971384 | − | 0.237513i | ||||
\(626\) | −22.1962 | − | 38.4449i | −0.887137 | − | 1.53657i | ||||
\(627\) | 4.73205 | − | 1.26795i | 0.188980 | − | 0.0506370i | ||||
\(628\) | 15.1244 | − | 4.05256i | 0.603527 | − | 0.161715i | ||||
\(629\) | 7.60770i | 0.303339i | ||||||||
\(630\) | 3.00000 | + | 22.6603i | 0.119523 | + | 0.902806i | ||||
\(631\) | −10.7321 | −0.427236 | −0.213618 | − | 0.976917i | \(-0.568525\pi\) | ||||
−0.213618 | + | 0.976917i | \(0.568525\pi\) | |||||||
\(632\) | −0.679492 | + | 2.53590i | −0.0270287 | + | 0.100873i | ||||
\(633\) | 3.67949 | + | 13.7321i | 0.146247 | + | 0.545800i | ||||
\(634\) | −12.4641 | + | 7.19615i | −0.495013 | + | 0.285796i | ||||
\(635\) | 26.0263 | + | 23.0788i | 1.03282 | + | 0.915856i | ||||
\(636\) | −10.3923 | + | 6.00000i | −0.412082 | + | 0.237915i | ||||
\(637\) | −29.4904 | − | 3.50962i | −1.16845 | − | 0.139056i | ||||
\(638\) | 2.46410 | + | 9.19615i | 0.0975547 | + | 0.364079i | ||||
\(639\) | −20.1962 | + | 11.6603i | −0.798947 | + | 0.461273i | ||||
\(640\) | 18.9282 | + | 16.7846i | 0.748203 | + | 0.663470i | ||||
\(641\) | 7.66987 | − | 13.2846i | 0.302942 | − | 0.524711i | −0.673859 | − | 0.738860i | \(-0.735365\pi\) |
0.976801 | + | 0.214149i | \(0.0686979\pi\) | |||||||
\(642\) | −6.66025 | + | 6.66025i | −0.262859 | + | 0.262859i | ||||
\(643\) | 9.00000 | + | 9.00000i | 0.354925 | + | 0.354925i | 0.861938 | − | 0.507013i | \(-0.169250\pi\) |
−0.507013 | + | 0.861938i | \(0.669250\pi\) | |||||||
\(644\) | 30.5885 | − | 2.19615i | 1.20535 | − | 0.0865405i | ||||
\(645\) | −0.928203 | − | 0.464102i | −0.0365480 | − | 0.0182740i | ||||
\(646\) | −20.7846 | −0.817760 | ||||||||
\(647\) | 13.9641 | − | 3.74167i | 0.548985 | − | 0.147100i | 0.0263442 | − | 0.999653i | \(-0.491613\pi\) |
0.522641 | + | 0.852553i | \(0.324947\pi\) | |||||||
\(648\) | −4.87564 | − | 18.1962i | −0.191533 | − | 0.714812i | ||||
\(649\) | −6.73205 | − | 11.6603i | −0.264256 | − | 0.457705i | ||||
\(650\) | −3.58846 | − | 29.7846i | −0.140751 | − | 1.16825i | ||||
\(651\) | −0.267949 | + | 0.0192379i | −0.0105018 | + | 0.000753992i | ||||
\(652\) | 10.7321 | − | 40.0526i | 0.420300 | − | 1.56858i | ||||
\(653\) | 31.4186 | + | 8.41858i | 1.22950 | + | 0.329445i | 0.814386 | − | 0.580323i | \(-0.197074\pi\) |
0.415118 | + | 0.909768i | \(0.363740\pi\) | |||||||
\(654\) | −4.90192 | + | 2.83013i | −0.191680 | + | 0.110667i | ||||
\(655\) | 1.00000 | − | 0.660254i | 0.0390732 | − | 0.0257983i | ||||
\(656\) | − | 25.8564i | − | 1.00952i | ||||||
\(657\) | 21.6603 | + | 21.6603i | 0.845047 | + | 0.845047i | ||||
\(658\) | 22.3923 | − | 25.8564i | 0.872943 | − | 1.00799i | ||||
\(659\) | −4.67949 | −0.182287 | −0.0911436 | − | 0.995838i | \(-0.529052\pi\) | ||||
−0.0911436 | + | 0.995838i | \(0.529052\pi\) | |||||||
\(660\) | −6.19615 | − | 1.26795i | −0.241185 | − | 0.0493549i | ||||
\(661\) | −13.0359 | + | 22.5788i | −0.507038 | + | 0.878215i | 0.492929 | + | 0.870069i | \(0.335926\pi\) |
−0.999967 | + | 0.00814557i | \(0.997407\pi\) | |||||||
\(662\) | 14.6603 | + | 3.92820i | 0.569787 | + | 0.152674i | ||||
\(663\) | −9.00000 | − | 2.41154i | −0.349531 | − | 0.0936566i | ||||
\(664\) | 30.2487 | 1.17388 | ||||||||
\(665\) | −16.2679 | − | 12.4641i | −0.630844 | − | 0.483337i | ||||
\(666\) | 3.46410 | − | 6.00000i | 0.134231 | − | 0.232495i | ||||
\(667\) | 3.69615 | − | 13.7942i | 0.143116 | − | 0.534115i | ||||
\(668\) | 24.5885 | − | 24.5885i | 0.951356 | − | 0.951356i | ||||
\(669\) | 2.16987 | − | 3.75833i | 0.0838921 | − | 0.145305i | ||||
\(670\) | 11.6603 | − | 23.3205i | 0.450475 | − | 0.900950i | ||||
\(671\) | − | 10.7321i | − | 0.414306i | ||||||
\(672\) | 7.60770 | + | 1.46410i | 0.293473 | + | 0.0564789i | ||||
\(673\) | 0.196152 | + | 0.196152i | 0.00756112 | + | 0.00756112i | 0.710877 | − | 0.703316i | \(-0.248298\pi\) |
−0.703316 | + | 0.710877i | \(0.748298\pi\) | |||||||
\(674\) | 4.67949 | 0.180247 | ||||||||
\(675\) | −9.16025 | + | 11.6699i | −0.352578 | + | 0.449174i | ||||
\(676\) | −10.0000 | −0.384615 | ||||||||
\(677\) | −28.2224 | − | 7.56218i | −1.08468 | − | 0.290638i | −0.328166 | − | 0.944620i | \(-0.606431\pi\) |
−0.756510 | + | 0.653982i | \(0.773097\pi\) | |||||||
\(678\) | 2.53590 | + | 9.46410i | 0.0973906 | + | 0.363467i | ||||
\(679\) | −32.7583 | − | 15.9019i | −1.25715 | − | 0.610260i | ||||
\(680\) | 24.0000 | + | 12.0000i | 0.920358 | + | 0.460179i | ||||
\(681\) | −4.16987 | − | 7.22243i | −0.159790 | − | 0.276764i | ||||
\(682\) | −0.196152 | + | 0.732051i | −0.00751106 | + | 0.0280317i | ||||
\(683\) | 1.64359 | + | 6.13397i | 0.0628904 | + | 0.234710i | 0.990215 | − | 0.139547i | \(-0.0445645\pi\) |
−0.927325 | + | 0.374257i | \(0.877898\pi\) | |||||||
\(684\) | 16.3923 | + | 9.46410i | 0.626775 | + | 0.361869i | ||||
\(685\) | 18.0000 | − | 6.00000i | 0.687745 | − | 0.229248i | ||||
\(686\) | 25.5885 | − | 5.58846i | 0.976972 | − | 0.213368i | ||||
\(687\) | −3.12436 | + | 3.12436i | −0.119202 | + | 0.119202i | ||||
\(688\) | 2.53590 | − | 2.53590i | 0.0966802 | − | 0.0966802i | ||||
\(689\) | −24.5885 | + | 42.5885i | −0.936746 | + | 1.62249i | ||||
\(690\) | 7.09808 | + | 6.29423i | 0.270219 | + | 0.239617i | ||||
\(691\) | −0.758330 | − | 1.31347i | −0.0288482 | − | 0.0499666i | 0.851241 | − | 0.524775i | \(-0.175851\pi\) |
−0.880089 | + | 0.474809i | \(0.842517\pi\) | |||||||
\(692\) | −48.2487 | − | 12.9282i | −1.83414 | − | 0.491457i | ||||
\(693\) | 18.6603 | − | 6.46410i | 0.708844 | − | 0.245551i | ||||
\(694\) | 23.2750 | + | 13.4378i | 0.883507 | + | 0.510093i | ||||
\(695\) | −10.5622 | + | 0.633975i | −0.400646 | + | 0.0240480i | ||||
\(696\) | 1.80385 | − | 3.12436i | 0.0683747 | − | 0.118428i | ||||
\(697\) | −7.09808 | − | 26.4904i | −0.268859 | − | 1.00339i | ||||
\(698\) | 31.9808 | − | 31.9808i | 1.21049 | − | 1.21049i | ||||
\(699\) | 3.80385i | 0.143875i | ||||||||
\(700\) | 11.5885 | + | 23.7846i | 0.438003 | + | 0.898974i | ||||
\(701\) | − | 17.9808i | − | 0.679124i | −0.940584 | − | 0.339562i | \(-0.889721\pi\) | ||
0.940584 | − | 0.339562i | \(-0.110279\pi\) | |||||||
\(702\) | 12.5885 | + | 12.5885i | 0.475121 | + | 0.475121i | ||||
\(703\) | 1.60770 | + | 6.00000i | 0.0606354 | + | 0.226294i | ||||
\(704\) | 10.9282 | − | 18.9282i | 0.411872 | − | 0.713384i | ||||
\(705\) | 10.5622 | − | 0.633975i | 0.397795 | − | 0.0238769i | ||||
\(706\) | −12.5885 | + | 21.8038i | −0.473773 | + | 0.820599i | ||||
\(707\) | −7.06218 | + | 36.6962i | −0.265601 | + | 1.38010i | ||||
\(708\) | −1.32051 | + | 4.92820i | −0.0496277 | + | 0.185213i | ||||
\(709\) | −1.03590 | − | 1.79423i | −0.0389040 | − | 0.0673837i | 0.845918 | − | 0.533313i | \(-0.179053\pi\) |
−0.884822 | + | 0.465930i | \(0.845720\pi\) | |||||||
\(710\) | −17.9090 | + | 20.1962i | −0.672111 | + | 0.757948i | ||||
\(711\) | 1.26795 | − | 2.19615i | 0.0475518 | − | 0.0823622i | ||||
\(712\) | −18.5885 | − | 4.98076i | −0.696632 | − | 0.186662i | ||||
\(713\) | 0.803848 | − | 0.803848i | 0.0301043 | − | 0.0301043i | ||||
\(714\) | 8.19615 | − | 0.588457i | 0.306733 | − | 0.0220225i | ||||
\(715\) | −24.5885 | + | 8.19615i | −0.919556 | + | 0.306519i | ||||
\(716\) | 41.6603 | + | 24.0526i | 1.55692 | + | 0.898886i | ||||
\(717\) | 0.169873 | + | 0.633975i | 0.00634402 | + | 0.0236762i | ||||
\(718\) | 1.73205 | + | 0.464102i | 0.0646396 | + | 0.0173201i | ||||
\(719\) | −3.63397 | − | 6.29423i | −0.135524 | − | 0.234735i | 0.790273 | − | 0.612755i | \(-0.209939\pi\) |
−0.925798 | + | 0.378019i | \(0.876605\pi\) | |||||||
\(720\) | −13.4641 | − | 20.3923i | −0.501777 | − | 0.759976i | ||||
\(721\) | 14.5622 | − | 1.04552i | 0.542324 | − | 0.0389371i | ||||
\(722\) | 9.56218 | − | 2.56218i | 0.355867 | − | 0.0953544i | ||||
\(723\) | 0.196152 | + | 0.0525589i | 0.00729499 | + | 0.00195469i | ||||
\(724\) | − | 45.0333i | − | 1.67365i | ||||||
\(725\) | 12.2321 | − | 1.47372i | 0.454287 | − | 0.0547326i | ||||
\(726\) | − | 2.58846i | − | 0.0960667i | ||||||
\(727\) | −1.70577 | − | 1.70577i | −0.0632636 | − | 0.0632636i | 0.674767 | − | 0.738031i | \(-0.264244\pi\) |
−0.738031 | + | 0.674767i | \(0.764244\pi\) | |||||||
\(728\) | 30.0000 | − | 10.3923i | 1.11187 | − | 0.385164i | ||||
\(729\) | 13.5885i | 0.503276i | ||||||||
\(730\) | 31.7128 | + | 15.8564i | 1.17374 | + | 0.586872i | ||||
\(731\) | 1.90192 | − | 3.29423i | 0.0703452 | − | 0.121841i | ||||
\(732\) | −2.87564 | + | 2.87564i | −0.106287 | + | 0.106287i | ||||
\(733\) | 5.70577 | − | 21.2942i | 0.210747 | − | 0.786520i | −0.776873 | − | 0.629657i | \(-0.783195\pi\) |
0.987620 | − | 0.156863i | \(-0.0501381\pi\) | |||||||
\(734\) | 19.2224 | + | 11.0981i | 0.709513 | + | 0.409637i | ||||
\(735\) | 6.76795 | + | 4.45448i | 0.249640 | + | 0.164306i | ||||
\(736\) | −28.3923 | + | 16.3923i | −1.04655 | + | 0.604228i | ||||
\(737\) | −21.7583 | − | 5.83013i | −0.801478 | − | 0.214755i | ||||
\(738\) | −6.46410 | + | 24.1244i | −0.237947 | + | 0.888030i | ||||
\(739\) | 2.83013 | − | 4.90192i | 0.104108 | − | 0.180320i | −0.809265 | − | 0.587443i | \(-0.800135\pi\) |
0.913373 | + | 0.407123i | \(0.133468\pi\) | |||||||
\(740\) | 1.60770 | − | 7.85641i | 0.0591000 | − | 0.288807i | ||||
\(741\) | −7.60770 | −0.279476 | ||||||||
\(742\) | 8.19615 | − | 42.5885i | 0.300890 | − | 1.56347i | ||||
\(743\) | 6.41858 | + | 6.41858i | 0.235475 | + | 0.235475i | 0.814973 | − | 0.579498i | \(-0.196751\pi\) |
−0.579498 | + | 0.814973i | \(0.696751\pi\) | |||||||
\(744\) | 0.248711 | − | 0.143594i | 0.00911820 | − | 0.00526439i | ||||
\(745\) | −9.96410 | + | 6.57884i | −0.365056 | + | 0.241030i | ||||
\(746\) | 6.92820 | + | 12.0000i | 0.253660 | + | 0.439351i | ||||
\(747\) | −28.2224 | − | 7.56218i | −1.03260 | − | 0.276686i | ||||
\(748\) | 6.00000 | − | 22.3923i | 0.219382 | − | 0.818744i | ||||
\(749\) | −2.43782 | − | 33.9545i | −0.0890761 | − | 1.24067i | ||||
\(750\) | −2.75833 | + | 7.70577i | −0.100720 | + | 0.281375i | ||||
\(751\) | −5.19615 | − | 9.00000i | −0.189610 | − | 0.328415i | 0.755510 | − | 0.655137i | \(-0.227389\pi\) |
−0.945120 | + | 0.326722i | \(0.894056\pi\) | |||||||
\(752\) | −9.46410 | + | 35.3205i | −0.345120 | + | 1.28801i | ||||
\(753\) | 1.16987 | − | 0.313467i | 0.0426325 | − | 0.0114234i | ||||
\(754\) | − | 14.7846i | − | 0.538424i | ||||||
\(755\) | 48.3923 | + | 24.1962i | 1.76118 | + | 0.880588i | ||||
\(756\) | −14.1244 | − | 6.85641i | −0.513698 | − | 0.249365i | ||||
\(757\) | 1.05256 | + | 1.05256i | 0.0382559 | + | 0.0382559i | 0.725976 | − | 0.687720i | \(-0.241388\pi\) |
−0.687720 | + | 0.725976i | \(0.741388\pi\) | |||||||
\(758\) | 18.2487 | + | 18.2487i | 0.662823 | + | 0.662823i | ||||
\(759\) | 4.09808 | − | 7.09808i | 0.148751 | − | 0.257644i | ||||
\(760\) | 21.4641 | + | 4.39230i | 0.778585 | + | 0.159326i | ||||
\(761\) | −41.1962 | + | 23.7846i | −1.49336 | + | 0.862191i | −0.999971 | − | 0.00761770i | \(-0.997575\pi\) |
−0.493388 | + | 0.869809i | \(0.664242\pi\) | |||||||
\(762\) | −11.0000 | + | 2.94744i | −0.398488 | + | 0.106775i | ||||
\(763\) | 3.86603 | − | 20.0885i | 0.139960 | − | 0.727251i | ||||
\(764\) | −36.5885 | + | 21.1244i | −1.32372 | + | 0.764252i | ||||
\(765\) | −19.3923 | − | 17.1962i | −0.701130 | − | 0.621728i | ||||
\(766\) | −3.63397 | − | 6.29423i | −0.131301 | − | 0.227420i | ||||
\(767\) | 5.41154 | + | 20.1962i | 0.195399 | + | 0.729241i | ||||
\(768\) | −8.00000 | + | 2.14359i | −0.288675 | + | 0.0773503i | ||||
\(769\) | −46.6410 | −1.68192 | −0.840959 | − | 0.541099i | \(-0.818008\pi\) | ||||
−0.840959 | + | 0.541099i | \(0.818008\pi\) | |||||||
\(770\) | 18.1244 | − | 13.9282i | 0.653156 | − | 0.501938i | ||||
\(771\) | − | 3.71281i | − | 0.133714i | ||||||
\(772\) | −1.12436 | − | 4.19615i | −0.0404664 | − | 0.151023i | ||||
\(773\) | −29.4904 | + | 7.90192i | −1.06070 | + | 0.284212i | −0.746665 | − | 0.665200i | \(-0.768346\pi\) |
−0.314030 | + | 0.949413i | \(0.601679\pi\) | |||||||
\(774\) | −3.00000 | + | 1.73205i | −0.107833 | + | 0.0622573i | ||||
\(775\) | 0.901924 | + | 0.385263i | 0.0323981 | + | 0.0138391i | ||||
\(776\) | 38.9282 | 1.39744 | ||||||||
\(777\) | −0.803848 | − | 2.32051i | −0.0288379 | − | 0.0832478i | ||||
\(778\) | −39.5167 | + | 10.5885i | −1.41674 | + | 0.379615i | ||||
\(779\) | −11.1962 | − | 19.3923i | −0.401144 | − | 0.694801i | ||||
\(780\) | 8.78461 | + | 4.39230i | 0.314539 | + | 0.157270i | ||||
\(781\) | 20.1962 | + | 11.6603i | 0.722675 | + | 0.417237i | ||||
\(782\) | −24.5885 | + | 24.5885i | −0.879281 | + | 0.879281i | ||||
\(783\) | −5.16987 | + | 5.16987i | −0.184756 | + | 0.184756i | ||||
\(784\) | −22.0000 | + | 17.3205i | −0.785714 | + | 0.618590i | ||||
\(785\) | −16.6077 | + | 5.53590i | −0.592754 | + | 0.197585i | ||||
\(786\) | 0.392305i | 0.0139931i | ||||||||
\(787\) | −7.16025 | − | 26.7224i | −0.255235 | − | 0.952552i | −0.967959 | − | 0.251107i | \(-0.919205\pi\) |
0.712724 | − | 0.701445i | \(-0.247461\pi\) | |||||||
\(788\) | −24.9282 | + | 24.9282i | −0.888030 | + | 0.888030i | ||||
\(789\) | 9.69615 | − | 5.59808i | 0.345192 | − | 0.199297i | ||||
\(790\) | 0.588457 | − | 2.87564i | 0.0209364 | − | 0.102311i | ||||
\(791\) | −31.8564 | − | 15.4641i | −1.13268 | − | 0.549840i | ||||
\(792\) | −14.9282 | + | 14.9282i | −0.530451 | + | 0.530451i | ||||
\(793\) | −4.31347 | + | 16.0981i | −0.153176 | + | 0.571659i | ||||
\(794\) | 2.07180 | + | 3.58846i | 0.0735253 | + | 0.127350i | ||||
\(795\) | 11.1962 | − | 7.39230i | 0.397087 | − | 0.262178i | ||||
\(796\) | 6.00000 | + | 3.46410i | 0.212664 | + | 0.122782i | ||||
\(797\) | 12.9282 | − | 12.9282i | 0.457940 | − | 0.457940i | −0.440038 | − | 0.897979i | \(-0.645035\pi\) |
0.897979 | + | 0.440038i | \(0.145035\pi\) | |||||||
\(798\) | 6.33975 | − | 2.19615i | 0.224425 | − | 0.0777430i | ||||
\(799\) | 38.7846i | 1.37210i | ||||||||
\(800\) | −22.2487 | − | 17.4641i | −0.786611 | − | 0.617449i | ||||
\(801\) | 16.0981 | + | 9.29423i | 0.568798 | + | 0.328395i | ||||
\(802\) | −9.04552 | + | 33.7583i | −0.319408 | + | 1.19205i | ||||
\(803\) | 7.92820 | − | 29.5885i | 0.279780 | − | 1.04415i | ||||
\(804\) | 4.26795 | + | 7.39230i | 0.150519 | + | 0.260706i | ||||
\(805\) | −33.9904 | + | 4.50000i | −1.19800 | + | 0.158604i | ||||
\(806\) | 0.588457 | − | 1.01924i | 0.0207275 | − | 0.0359011i | ||||
\(807\) | 5.23205 | + | 1.40192i | 0.184177 | + | 0.0493501i | ||||
\(808\) | −10.3397 | − | 38.5885i | −0.363751 | − | 1.35754i | ||||
\(809\) | 16.5788 | + | 9.57180i | 0.582881 | + | 0.336526i | 0.762277 | − | 0.647250i | \(-0.224081\pi\) |
−0.179397 | + | 0.983777i | \(0.557415\pi\) | |||||||
\(810\) | 6.66025 | + | 19.9808i | 0.234017 | + | 0.702052i | ||||
\(811\) | −47.6603 | −1.67358 | −0.836789 | − | 0.547526i | \(-0.815570\pi\) | ||||
−0.836789 | + | 0.547526i | \(0.815570\pi\) | |||||||
\(812\) | 4.26795 | + | 12.3205i | 0.149776 | + | 0.432365i | ||||
\(813\) | 4.39230 | − | 4.39230i | 0.154045 | − | 0.154045i | ||||
\(814\) | −6.92820 | −0.242833 | ||||||||
\(815\) | −9.29423 | + | 45.4186i | −0.325563 | + | 1.59094i | ||||
\(816\) | −7.60770 | + | 4.39230i | −0.266323 | + | 0.153761i | ||||
\(817\) | 0.803848 | − | 3.00000i | 0.0281231 | − | 0.104957i | ||||
\(818\) | 12.8301 | − | 3.43782i | 0.448595 | − | 0.120201i | ||||
\(819\) | −30.5885 | + | 2.19615i | −1.06885 | + | 0.0767398i | ||||
\(820\) | 1.73205 | + | 28.8564i | 0.0604858 | + | 1.00771i | ||||
\(821\) | −3.92820 | + | 2.26795i | −0.137095 | + | 0.0791520i | −0.566979 | − | 0.823732i | \(-0.691888\pi\) |
0.429884 | + | 0.902884i | \(0.358555\pi\) | |||||||
\(822\) | −1.60770 | + | 6.00000i | −0.0560748 | + | 0.209274i | ||||
\(823\) | 12.3301 | − | 3.30385i | 0.429801 | − | 0.115165i | −0.0374316 | − | 0.999299i | \(-0.511918\pi\) |
0.467233 | + | 0.884134i | \(0.345251\pi\) | |||||||
\(824\) | −13.5167 | + | 7.80385i | −0.470875 | + | 0.271860i | ||||
\(825\) | 7.00000 | + | 1.00000i | 0.243709 | + | 0.0348155i | ||||
\(826\) | −10.3397 | − | 15.2679i | −0.359766 | − | 0.531240i | ||||
\(827\) | 26.1506 | + | 26.1506i | 0.909347 | + | 0.909347i | 0.996219 | − | 0.0868727i | \(-0.0276874\pi\) |
−0.0868727 | + | 0.996219i | \(0.527687\pi\) | |||||||
\(828\) | 30.5885 | − | 8.19615i | 1.06302 | − | 0.284836i | ||||
\(829\) | −2.19615 | − | 1.26795i | −0.0762755 | − | 0.0440377i | 0.461377 | − | 0.887204i | \(-0.347356\pi\) |
−0.537653 | + | 0.843166i | \(0.680689\pi\) | |||||||
\(830\) | −33.7583 | + | 2.02628i | −1.17177 | + | 0.0703332i | ||||
\(831\) | −6.50962 | + | 3.75833i | −0.225816 | + | 0.130375i | ||||
\(832\) | −24.0000 | + | 24.0000i | −0.832050 | + | 0.832050i | ||||
\(833\) | −17.7846 | + | 23.7846i | −0.616200 | + | 0.824088i | ||||
\(834\) | 1.73205 | − | 3.00000i | 0.0599760 | − | 0.103882i | ||||
\(835\) | −25.7942 | + | 29.0885i | −0.892646 | + | 1.00665i | ||||
\(836\) | − | 18.9282i | − | 0.654646i | ||||||
\(837\) | −0.562178 | + | 0.150635i | −0.0194317 | + | 0.00520671i | ||||
\(838\) | 18.3923 | − | 18.3923i | 0.635352 | − | 0.635352i | ||||
\(839\) | 3.80385 | 0.131323 | 0.0656617 | − | 0.997842i | \(-0.479084\pi\) | ||||
0.0656617 | + | 0.997842i | \(0.479084\pi\) | |||||||
\(840\) | −8.58846 | − | 1.12436i | −0.296330 | − | 0.0387940i | ||||
\(841\) | −22.9282 | −0.790628 | ||||||||
\(842\) | 5.87564 | − | 5.87564i | 0.202488 | − | 0.202488i | ||||
\(843\) | −12.1244 | + | 3.24871i | −0.417585 | + | 0.111892i | ||||
\(844\) | 54.9282 | 1.89071 | ||||||||
\(845\) | 11.1603 | − | 0.669873i | 0.383924 | − | 0.0230443i | ||||
\(846\) | 17.6603 | − | 30.5885i | 0.607172 | − | 1.05165i | ||||
\(847\) | 7.07180 | + | 6.12436i | 0.242990 | + | 0.210435i | ||||
\(848\) | 12.0000 | + | 44.7846i | 0.412082 | + | 1.53791i | ||||
\(849\) | 2.49038 | − | 1.43782i | 0.0854697 | − | 0.0493459i | ||||
\(850\) | −27.5885 | − | 11.7846i | −0.946276 | − | 0.404209i | ||||
\(851\) | 9.00000 | + | 5.19615i | 0.308516 | + | 0.178122i | ||||
\(852\) | −2.28719 | − | 8.53590i | −0.0783577 | − | 0.292435i | ||||
\(853\) | 5.32051 | + | 5.32051i | 0.182171 | + | 0.182171i | 0.792301 | − | 0.610130i | \(-0.208883\pi\) |
−0.610130 | + | 0.792301i | \(0.708883\pi\) | |||||||
\(854\) | −1.05256 | − | 14.6603i | −0.0360178 | − | 0.501664i | ||||
\(855\) | −18.9282 | − | 9.46410i | −0.647331 | − | 0.323665i | ||||
\(856\) | 18.1962 | + | 31.5167i | 0.621932 | + | 1.07722i | ||||
\(857\) | −25.2224 | + | 6.75833i | −0.861582 | + | 0.230860i | −0.662444 | − | 0.749111i | \(-0.730481\pi\) |
−0.199138 | + | 0.979972i | \(0.563814\pi\) | |||||||
\(858\) | 2.19615 | − | 8.19615i | 0.0749754 | − | 0.279812i | ||||
\(859\) | −3.80385 | + | 2.19615i | −0.129786 | + | 0.0749318i | −0.563487 | − | 0.826125i | \(-0.690541\pi\) |
0.433702 | + | 0.901057i | \(0.357207\pi\) | |||||||
\(860\) | −2.66025 | + | 3.00000i | −0.0907139 | + | 0.102299i | ||||
\(861\) | 4.96410 | + | 7.33013i | 0.169176 | + | 0.249810i | ||||
\(862\) | −22.8564 | + | 6.12436i | −0.778492 | + | 0.208596i | ||||
\(863\) | −0.741670 | + | 2.76795i | −0.0252467 | + | 0.0942221i | −0.977400 | − | 0.211400i | \(-0.932198\pi\) |
0.952153 | + | 0.305622i | \(0.0988644\pi\) | |||||||
\(864\) | 16.7846 | 0.571024 | ||||||||
\(865\) | 54.7128 | + | 11.1962i | 1.86029 | + | 0.380681i | ||||
\(866\) | 9.07180 | 0.308272 | ||||||||
\(867\) | −0.366025 | + | 0.366025i | −0.0124309 | + | 0.0124309i | ||||
\(868\) | −0.196152 | + | 1.01924i | −0.00665785 | + | 0.0345952i | ||||
\(869\) | −2.53590 | −0.0860245 | ||||||||
\(870\) | −1.80385 | + | 3.60770i | −0.0611562 | + | 0.122312i | ||||
\(871\) | 30.2942 | + | 17.4904i | 1.02648 | + | 0.592639i | ||||
\(872\) | 5.66025 | + | 21.1244i | 0.191680 | + | 0.715361i | ||||
\(873\) | −36.3205 | − | 9.73205i | −1.22926 | − | 0.329380i | ||||
\(874\) | −14.1962 | + | 24.5885i | −0.480192 | + | 0.831717i | ||||
\(875\) | −14.5263 | − | 25.7679i | −0.491078 | − | 0.871116i | ||||
\(876\) | −10.0526 | + | 5.80385i | −0.339644 | + | 0.196094i | ||||
\(877\) | 1.39230 | − | 5.19615i | 0.0470148 | − | 0.175462i | −0.938426 | − | 0.345480i | \(-0.887716\pi\) |
0.985441 | + | 0.170018i | \(0.0543827\pi\) | |||||||
\(878\) | 10.7321 | − | 40.0526i | 0.362189 | − | 1.35171i | ||||
\(879\) | 3.92820 | + | 2.26795i | 0.132495 | + | 0.0764960i | ||||
\(880\) | −10.9282 | + | 21.8564i | −0.368390 | + | 0.736779i | ||||
\(881\) | − | 21.2487i | − | 0.715887i | −0.933743 | − | 0.357944i | \(-0.883478\pi\) | ||
0.933743 | − | 0.357944i | \(-0.116522\pi\) | |||||||
\(882\) | 24.8564 | − | 10.6603i | 0.836959 | − | 0.358949i | ||||
\(883\) | 33.2487 | − | 33.2487i | 1.11891 | − | 1.11891i | 0.127006 | − | 0.991902i | \(-0.459463\pi\) |
0.991902 | − | 0.127006i | \(-0.0405368\pi\) | |||||||
\(884\) | −18.0000 | + | 31.1769i | −0.605406 | + | 1.04859i | ||||
\(885\) | 1.14359 | − | 5.58846i | 0.0384415 | − | 0.187854i | ||||
\(886\) | −15.4186 | − | 26.7058i | −0.517997 | − | 0.897198i | ||||
\(887\) | 9.06218 | − | 33.8205i | 0.304278 | − | 1.13558i | −0.629287 | − | 0.777173i | \(-0.716653\pi\) |
0.933565 | − | 0.358408i | \(-0.116680\pi\) | |||||||
\(888\) | 1.85641 | + | 1.85641i | 0.0622969 | + | 0.0622969i | ||||
\(889\) | 17.9737 | − | 37.0263i | 0.602819 | − | 1.24182i | ||||
\(890\) | 21.0788 | + | 4.31347i | 0.706564 | + | 0.144588i | ||||
\(891\) | 15.7583 | − | 9.09808i | 0.527924 | − | 0.304797i | ||||
\(892\) | −11.8564 | − | 11.8564i | −0.396982 | − | 0.396982i | ||||
\(893\) | 8.19615 | + | 30.5885i | 0.274274 | + | 1.02360i | ||||
\(894\) | − | 3.90897i | − | 0.130735i | ||||||
\(895\) | −48.1051 | − | 24.0526i | −1.60798 | − | 0.803988i | ||||
\(896\) | 13.0718 | − | 26.9282i | 0.436698 | − | 0.899608i | ||||
\(897\) | −9.00000 | + | 9.00000i | −0.300501 | + | 0.300501i | ||||
\(898\) | −12.8038 | + | 12.8038i | −0.427270 | + | 0.427270i | ||||
\(899\) | 0.418584 | + | 0.241670i | 0.0139606 | + | 0.00806014i | ||||
\(900\) | 16.3923 | + | 21.8564i | 0.546410 | + | 0.728547i | ||||
\(901\) | 24.5885 | + | 42.5885i | 0.819160 | + | 1.41883i | ||||
\(902\) | 24.1244 | − | 6.46410i | 0.803253 | − | 0.215231i | ||||
\(903\) | −0.232051 | + | 1.20577i | −0.00772217 | + | 0.0401256i | ||||
\(904\) | 37.8564 | 1.25909 | ||||||||
\(905\) | 3.01666 | + | 50.2583i | 0.100277 | + | 1.67064i | ||||
\(906\) | −15.3397 | + | 8.85641i | −0.509629 | + | 0.294234i | ||||
\(907\) | 16.7942 | − | 4.50000i | 0.557643 | − | 0.149420i | 0.0310198 | − | 0.999519i | \(-0.490124\pi\) |
0.526623 | + | 0.850099i | \(0.323458\pi\) | |||||||
\(908\) | −31.1244 | + | 8.33975i | −1.03290 | + | 0.276764i | ||||
\(909\) | 38.5885i | 1.27990i | ||||||||
\(910\) | −32.7846 | + | 13.6077i | −1.08680 | + | 0.451091i | ||||
\(911\) | −2.19615 | −0.0727618 | −0.0363809 | − | 0.999338i | \(-0.511583\pi\) | ||||
−0.0363809 | + | 0.999338i | \(0.511583\pi\) | |||||||
\(912\) | −5.07180 | + | 5.07180i | −0.167944 | + | 0.167944i | ||||
\(913\) | 7.56218 | + | 28.2224i | 0.250272 | + | 0.934026i | ||||
\(914\) | 0.196152 | + | 0.339746i | 0.00648815 | + | 0.0112378i | ||||
\(915\) | 3.01666 | − | 3.40192i | 0.0997277 | − | 0.112464i | ||||
\(916\) | 8.53590 | + | 14.7846i | 0.282034 | + | 0.488497i | ||||
\(917\) | −1.07180 | − | 0.928203i | −0.0353938 | − | 0.0306520i | ||||
\(918\) | 17.1962 | − | 4.60770i | 0.567558 | − | 0.152077i | ||||
\(919\) | −39.0000 | + | 22.5167i | −1.28649 | + | 0.742756i | −0.978027 | − | 0.208480i | \(-0.933148\pi\) |
−0.308465 | + | 0.951236i | \(0.599815\pi\) | |||||||
\(920\) | 30.5885 | − | 20.1962i | 1.00847 | − | 0.665847i | ||||
\(921\) | −7.96410 | + | 13.7942i | −0.262426 | + | 0.454535i | ||||
\(922\) | 39.8564 | + | 39.8564i | 1.31260 | + | 1.31260i | ||||
\(923\) | −25.6077 | − | 25.6077i | −0.842888 | − | 0.842888i | ||||
\(924\) | 0.535898 | + | 7.46410i | 0.0176298 | + | 0.245551i | ||||
\(925\) | −1.26795 | + | 8.87564i | −0.0416899 | + | 0.291829i | ||||
\(926\) | 15.6603i | 0.514628i | ||||||||
\(927\) | 14.5622 | − | 3.90192i | 0.478285 | − | 0.128156i | ||||
\(928\) | −9.85641 | − | 9.85641i | −0.323552 | − | 0.323552i | ||||
\(929\) | 13.1603 | + | 22.7942i | 0.431774 | + | 0.747854i | 0.997026 | − | 0.0770637i | \(-0.0245545\pi\) |
−0.565252 | + | 0.824918i | \(0.691221\pi\) | |||||||
\(930\) | −0.267949 | + | 0.176915i | −0.00878640 | + | 0.00580126i | ||||
\(931\) | −9.00000 | + | 22.5167i | −0.294963 | + | 0.737954i | ||||
\(932\) | 14.1962 | + | 3.80385i | 0.465010 | + | 0.124599i | ||||
\(933\) | 5.53590 | + | 1.48334i | 0.181237 | + | 0.0485624i | ||||
\(934\) | 7.56218 | + | 13.0981i | 0.247442 | + | 0.428582i | ||||
\(935\) | −5.19615 | + | 25.3923i | −0.169932 | + | 0.830417i | ||||
\(936\) | 28.3923 | − | 16.3923i | 0.928032 | − | 0.535799i | ||||
\(937\) | −20.3923 | − | 20.3923i | −0.666188 | − | 0.666188i | 0.290644 | − | 0.956831i | \(-0.406131\pi\) |
−0.956831 | + | 0.290644i | \(0.906131\pi\) | |||||||
\(938\) | −30.2942 | − | 5.83013i | −0.989142 | − | 0.190360i | ||||
\(939\) | −16.2487 | −0.530257 | ||||||||
\(940\) | 8.19615 | − | 40.0526i | 0.267329 | − | 1.30637i | ||||
\(941\) | 6.26795 | − | 10.8564i | 0.204329 | − | 0.353909i | −0.745590 | − | 0.666405i | \(-0.767832\pi\) |
0.949919 | + | 0.312497i | \(0.101165\pi\) | |||||||
\(942\) | 1.48334 | − | 5.53590i | 0.0483298 | − | 0.180369i | ||||
\(943\) | −36.1865 | − | 9.69615i | −1.17840 | − | 0.315750i | ||||
\(944\) | 17.0718 | + | 9.85641i | 0.555640 | + | 0.320799i | ||||
\(945\) | 16.2224 | + | 6.70577i | 0.527716 | + | 0.218139i | ||||
\(946\) | 3.00000 | + | 1.73205i | 0.0975384 | + | 0.0563138i | ||||
\(947\) | 13.6699 | − | 51.0167i | 0.444211 | − | 1.65782i | −0.273800 | − | 0.961787i | \(-0.588281\pi\) |
0.718011 | − | 0.696032i | \(-0.245053\pi\) | |||||||
\(948\) | 0.679492 | + | 0.679492i | 0.0220689 | + | 0.0220689i | ||||
\(949\) | −23.7846 | + | 41.1962i | −0.772081 | + | 1.33728i | ||||
\(950\) | −24.2487 | − | 3.46410i | −0.786732 | − | 0.112390i | ||||
\(951\) | 5.26795i | 0.170825i | ||||||||
\(952\) | 6.00000 | − | 31.1769i | 0.194461 | − | 1.01045i | ||||
\(953\) | −3.46410 | − | 3.46410i | −0.112213 | − | 0.112213i | 0.648771 | − | 0.760984i | \(-0.275283\pi\) |
−0.760984 | + | 0.648771i | \(0.775283\pi\) | |||||||
\(954\) | − | 44.7846i | − | 1.44996i | ||||||
\(955\) | 39.4186 | − | 26.0263i | 1.27556 | − | 0.842191i | ||||
\(956\) | 2.53590 | 0.0820168 | ||||||||
\(957\) | 3.36603 | + | 0.901924i | 0.108808 | + | 0.0291551i | ||||
\(958\) | −19.3923 | + | 5.19615i | −0.626537 | + | 0.167880i | ||||
\(959\) | −12.5885 | − | 18.5885i | −0.406502 | − | 0.600253i | ||||
\(960\) | 8.78461 | − | 2.92820i | 0.283522 | − | 0.0945074i | ||||
\(961\) | −15.4808 | − | 26.8135i | −0.499379 | − | 0.864951i | ||||
\(962\) | 10.3923 | + | 2.78461i | 0.335061 | + | 0.0897794i | ||||
\(963\) | −9.09808 | − | 33.9545i | −0.293181 | − | 1.09417i | ||||
\(964\) | 0.392305 | − | 0.679492i | 0.0126353 | − | 0.0218850i | ||||
\(965\) | 1.53590 | + | 4.60770i | 0.0494423 | + | 0.148327i | ||||
\(966\) | 4.90192 | − | 10.0981i | 0.157717 | − | 0.324900i | ||||
\(967\) | −36.4904 | + | 36.4904i | −1.17345 | + | 1.17345i | −0.192070 | + | 0.981381i | \(0.561520\pi\) |
−0.981381 | + | 0.192070i | \(0.938480\pi\) | |||||||
\(968\) | −9.66025 | − | 2.58846i | −0.310492 | − | 0.0831962i | ||||
\(969\) | −3.80385 | + | 6.58846i | −0.122197 | + | 0.211652i | ||||
\(970\) | −43.4449 | + | 2.60770i | −1.39493 | + | 0.0837280i | ||||
\(971\) | −10.0000 | − | 17.3205i | −0.320915 | − | 0.555842i | 0.659762 | − | 0.751475i | \(-0.270657\pi\) |
−0.980677 | + | 0.195633i | \(0.937324\pi\) | |||||||
\(972\) | −23.8564 | − | 6.39230i | −0.765195 | − | 0.205033i | ||||
\(973\) | 4.09808 | + | 11.8301i | 0.131378 | + | 0.379256i | ||||
\(974\) | 0.0717968 | − | 0.124356i | 0.00230052 | − | 0.00398461i | ||||
\(975\) | −10.0981 | − | 4.31347i | −0.323397 | − | 0.138141i | ||||
\(976\) | 7.85641 | + | 13.6077i | 0.251477 | + | 0.435572i | ||||
\(977\) | 0.973721 | + | 3.63397i | 0.0311521 | + | 0.116261i | 0.979751 | − | 0.200219i | \(-0.0641655\pi\) |
−0.948599 | + | 0.316481i | \(0.897499\pi\) | |||||||
\(978\) | −10.7321 | − | 10.7321i | −0.343173 | − | 0.343173i | ||||
\(979\) | − | 18.5885i | − | 0.594090i | ||||||
\(980\) | 23.3923 | − | 20.8038i | 0.747240 | − | 0.664555i | ||||
\(981\) | − | 21.1244i | − | 0.674449i | ||||||
\(982\) | 1.80385 | − | 1.80385i | 0.0575631 | − | 0.0575631i | ||||
\(983\) | 8.76795 | + | 32.7224i | 0.279654 | + | 1.04368i | 0.952658 | + | 0.304044i | \(0.0983371\pi\) |
−0.673004 | + | 0.739639i | \(0.734996\pi\) | |||||||
\(984\) | −8.19615 | − | 4.73205i | −0.261284 | − | 0.150852i | ||||
\(985\) | 26.1506 | − | 29.4904i | 0.833229 | − | 0.939642i | ||||
\(986\) | −12.8038 | − | 7.39230i | −0.407758 | − | 0.235419i | ||||
\(987\) | −4.09808 | − | 11.8301i | −0.130443 | − | 0.376557i | ||||
\(988\) | −7.60770 | + | 28.3923i | −0.242033 | + | 0.903280i | ||||
\(989\) | −2.59808 | − | 4.50000i | −0.0826140 | − | 0.143092i | ||||
\(990\) | 15.6603 | − | 17.6603i | 0.497716 | − | 0.561280i | ||||
\(991\) | 18.6865 | − | 32.3660i | 0.593597 | − | 1.02814i | −0.400146 | − | 0.916451i | \(-0.631041\pi\) |
0.993743 | − | 0.111689i | \(-0.0356261\pi\) | |||||||
\(992\) | −0.287187 | − | 1.07180i | −0.00911820 | − | 0.0340296i | ||||
\(993\) | 3.92820 | − | 3.92820i | 0.124658 | − | 0.124658i | ||||
\(994\) | 28.7321 | + | 13.9474i | 0.911325 | + | 0.442386i | ||||
\(995\) | −6.92820 | − | 3.46410i | −0.219639 | − | 0.109819i | ||||
\(996\) | 5.53590 | − | 9.58846i | 0.175412 | − | 0.303822i | ||||
\(997\) | −0.803848 | − | 3.00000i | −0.0254581 | − | 0.0950110i | 0.952028 | − | 0.306011i | \(-0.0989945\pi\) |
−0.977486 | + | 0.211000i | \(0.932328\pi\) | |||||||
\(998\) | 11.5359 | − | 43.0526i | 0.365162 | − | 1.36280i | ||||
\(999\) | −2.66025 | − | 4.60770i | −0.0841667 | − | 0.145781i |
(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 | 280.2.bv.a.213.1 | yes | 4 | |
5.2 | odd | 4 | 280.2.bv.d.157.1 | yes | 4 | ||
7.5 | odd | 6 | 280.2.bv.c.173.1 | yes | 4 | ||
8.5 | even | 2 | 280.2.bv.b.213.1 | yes | 4 | ||
35.12 | even | 12 | 280.2.bv.b.117.1 | yes | 4 | ||
40.37 | odd | 4 | 280.2.bv.c.157.1 | yes | 4 | ||
56.5 | odd | 6 | 280.2.bv.d.173.1 | yes | 4 | ||
280.117 | even | 12 | inner | 280.2.bv.a.117.1 | ✓ | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bv.a.117.1 | ✓ | 4 | 280.117 | even | 12 | inner | |
280.2.bv.a.213.1 | yes | 4 | 1.1 | even | 1 | trivial | |
280.2.bv.b.117.1 | yes | 4 | 35.12 | even | 12 | ||
280.2.bv.b.213.1 | yes | 4 | 8.5 | even | 2 | ||
280.2.bv.c.157.1 | yes | 4 | 40.37 | odd | 4 | ||
280.2.bv.c.173.1 | yes | 4 | 7.5 | odd | 6 | ||
280.2.bv.d.157.1 | yes | 4 | 5.2 | odd | 4 | ||
280.2.bv.d.173.1 | yes | 4 | 56.5 | odd | 6 |