Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,3,Mod(5,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.d (of order \(22\), degree \(10\), 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: | \(0.626704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 10.2 | ||
Character | \(\chi\) | \(=\) | 23.10 |
Dual form | 23.3.d.a.7.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{3}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.881085 | − | 1.01683i | −0.440542 | − | 0.508413i | 0.491443 | − | 0.870910i | \(-0.336470\pi\) |
−0.931985 | + | 0.362497i | \(0.881924\pi\) | |||||||
\(3\) | 2.64748 | + | 1.70143i | 0.882494 | + | 0.567145i | 0.901551 | − | 0.432674i | \(-0.142430\pi\) |
−0.0190563 | + | 0.999818i | \(0.506066\pi\) | |||||||
\(4\) | 0.311634 | − | 2.16747i | 0.0779086 | − | 0.541866i | ||||
\(5\) | −2.08252 | − | 0.951056i | −0.416505 | − | 0.190211i | 0.196129 | − | 0.980578i | \(-0.437163\pi\) |
−0.612634 | + | 0.790367i | \(0.709890\pi\) | |||||||
\(6\) | −0.602595 | − | 4.19114i | −0.100432 | − | 0.698523i | ||||
\(7\) | −2.90589 | + | 9.89656i | −0.415128 | + | 1.41379i | 0.441222 | + | 0.897398i | \(0.354545\pi\) |
−0.856349 | + | 0.516397i | \(0.827273\pi\) | |||||||
\(8\) | −7.00598 | + | 4.50247i | −0.875748 | + | 0.562809i | ||||
\(9\) | 0.375553 | + | 0.822346i | 0.0417281 | + | 0.0913718i | ||||
\(10\) | 0.867820 | + | 2.95552i | 0.0867820 | + | 0.295552i | ||||
\(11\) | −6.07406 | − | 5.26321i | −0.552188 | − | 0.478473i | 0.333503 | − | 0.942749i | \(-0.391769\pi\) |
−0.885691 | + | 0.464276i | \(0.846315\pi\) | |||||||
\(12\) | 4.51285 | − | 5.20810i | 0.376071 | − | 0.434008i | ||||
\(13\) | 14.4927 | − | 4.25543i | 1.11482 | − | 0.327341i | 0.328096 | − | 0.944644i | \(-0.393593\pi\) |
0.786725 | + | 0.617303i | \(0.211775\pi\) | |||||||
\(14\) | 12.6234 | − | 5.76492i | 0.901673 | − | 0.411780i | ||||
\(15\) | −3.89528 | − | 6.06118i | −0.259686 | − | 0.404079i | ||||
\(16\) | 2.34688 | + | 0.689107i | 0.146680 | + | 0.0430692i | ||||
\(17\) | −13.1674 | + | 1.89318i | −0.774550 | + | 0.111364i | −0.518245 | − | 0.855232i | \(-0.673414\pi\) |
−0.256305 | + | 0.966596i | \(0.582505\pi\) | |||||||
\(18\) | 0.505289 | − | 1.10643i | 0.0280716 | − | 0.0614683i | ||||
\(19\) | 26.2733 | + | 3.77753i | 1.38280 | + | 0.198817i | 0.793243 | − | 0.608906i | \(-0.208391\pi\) |
0.589562 | + | 0.807723i | \(0.299300\pi\) | |||||||
\(20\) | −2.71037 | + | 4.21741i | −0.135518 | + | 0.210871i | ||||
\(21\) | −24.5316 | + | 21.2568i | −1.16817 | + | 1.01223i | ||||
\(22\) | 10.8136i | 0.491527i | ||||||||
\(23\) | 22.1459 | − | 6.20960i | 0.962865 | − | 0.269982i | ||||
\(24\) | −26.2089 | −1.09204 | ||||||||
\(25\) | −12.9391 | − | 14.9325i | −0.517565 | − | 0.597302i | ||||
\(26\) | −17.0963 | − | 10.9871i | −0.657551 | − | 0.422582i | ||||
\(27\) | 3.62597 | − | 25.2192i | 0.134295 | − | 0.934044i | ||||
\(28\) | 20.5449 | + | 9.38253i | 0.733746 | + | 0.335090i | ||||
\(29\) | 0.753370 | + | 5.23980i | 0.0259783 | + | 0.180683i | 0.998679 | − | 0.0513794i | \(-0.0163618\pi\) |
−0.972701 | + | 0.232062i | \(0.925453\pi\) | |||||||
\(30\) | −2.73109 | + | 9.30124i | −0.0910363 | + | 0.310041i | ||||
\(31\) | −29.7398 | + | 19.1126i | −0.959347 | + | 0.616535i | −0.923817 | − | 0.382834i | \(-0.874948\pi\) |
−0.0355297 | + | 0.999369i | \(0.511312\pi\) | |||||||
\(32\) | 12.4713 | + | 27.3082i | 0.389727 | + | 0.853382i | ||||
\(33\) | −7.12598 | − | 24.2689i | −0.215939 | − | 0.735420i | ||||
\(34\) | 13.5266 | + | 11.7209i | 0.397841 | + | 0.344731i | ||||
\(35\) | 15.4638 | − | 17.8461i | 0.441822 | − | 0.509890i | ||||
\(36\) | 1.89944 | − | 0.557726i | 0.0527623 | − | 0.0154924i | ||||
\(37\) | −32.5376 | + | 14.8594i | −0.879393 | + | 0.401605i | −0.803356 | − | 0.595499i | \(-0.796954\pi\) |
−0.0760377 | + | 0.997105i | \(0.524227\pi\) | |||||||
\(38\) | −19.3079 | − | 30.0437i | −0.508103 | − | 0.790624i | ||||
\(39\) | 45.6095 | + | 13.3921i | 1.16947 | + | 0.343388i | ||||
\(40\) | 18.8722 | − | 2.71342i | 0.471806 | − | 0.0678354i | ||||
\(41\) | 7.60347 | − | 16.6493i | 0.185451 | − | 0.406080i | −0.793957 | − | 0.607974i | \(-0.791982\pi\) |
0.979407 | + | 0.201894i | \(0.0647097\pi\) | |||||||
\(42\) | 43.2289 | + | 6.21538i | 1.02926 | + | 0.147985i | ||||
\(43\) | 8.28150 | − | 12.8863i | 0.192593 | − | 0.299681i | −0.731505 | − | 0.681836i | \(-0.761182\pi\) |
0.924098 | + | 0.382155i | \(0.124818\pi\) | |||||||
\(44\) | −13.3007 | + | 11.5251i | −0.302289 | + | 0.261935i | ||||
\(45\) | − | 2.06973i | − | 0.0459939i | ||||||
\(46\) | −25.8265 | − | 17.0473i | −0.561446 | − | 0.370595i | ||||
\(47\) | 72.6550 | 1.54585 | 0.772926 | − | 0.634496i | \(-0.218792\pi\) | ||||
0.772926 | + | 0.634496i | \(0.218792\pi\) | |||||||
\(48\) | 5.04086 | + | 5.81747i | 0.105018 | + | 0.121197i | ||||
\(49\) | −48.2763 | − | 31.0253i | −0.985231 | − | 0.633170i | ||||
\(50\) | −3.78334 | + | 26.3137i | −0.0756667 | + | 0.526274i | ||||
\(51\) | −38.0815 | − | 17.3912i | −0.746695 | − | 0.341004i | ||||
\(52\) | −4.70709 | − | 32.7385i | −0.0905209 | − | 0.629587i | ||||
\(53\) | −25.8947 | + | 88.1894i | −0.488580 | + | 1.66395i | 0.233668 | + | 0.972316i | \(0.424927\pi\) |
−0.722248 | + | 0.691634i | \(0.756891\pi\) | |||||||
\(54\) | −28.8383 | + | 18.5333i | −0.534043 | + | 0.343209i | ||||
\(55\) | 7.64377 | + | 16.7375i | 0.138978 | + | 0.304319i | ||||
\(56\) | −24.2004 | − | 82.4189i | −0.432149 | − | 1.47177i | ||||
\(57\) | 63.1309 | + | 54.7032i | 1.10756 | + | 0.959706i | ||||
\(58\) | 4.66419 | − | 5.38276i | 0.0804170 | − | 0.0928062i | ||||
\(59\) | −71.1561 | + | 20.8933i | −1.20604 | + | 0.354124i | −0.822158 | − | 0.569260i | \(-0.807230\pi\) |
−0.383878 | + | 0.923384i | \(0.625412\pi\) | |||||||
\(60\) | −14.3513 | + | 6.55402i | −0.239188 | + | 0.109234i | ||||
\(61\) | −15.2916 | − | 23.7942i | −0.250682 | − | 0.390069i | 0.692992 | − | 0.720945i | \(-0.256292\pi\) |
−0.943674 | + | 0.330876i | \(0.892656\pi\) | |||||||
\(62\) | 45.6374 | + | 13.4004i | 0.736087 | + | 0.216135i | ||||
\(63\) | −9.22972 | + | 1.32703i | −0.146503 | + | 0.0210640i | ||||
\(64\) | 20.8438 | − | 45.6417i | 0.325685 | − | 0.713151i | ||||
\(65\) | −34.2285 | − | 4.92131i | −0.526592 | − | 0.0757125i | ||||
\(66\) | −18.3986 | + | 28.6288i | −0.278767 | + | 0.433770i | ||||
\(67\) | −5.29481 | + | 4.58798i | −0.0790270 | + | 0.0684773i | −0.693479 | − | 0.720477i | \(-0.743923\pi\) |
0.614452 | + | 0.788955i | \(0.289377\pi\) | |||||||
\(68\) | 29.1298i | 0.428379i | ||||||||
\(69\) | 69.1961 | + | 21.2400i | 1.00284 | + | 0.307826i | ||||
\(70\) | −31.7713 | −0.453876 | ||||||||
\(71\) | 18.7368 | + | 21.6234i | 0.263899 | + | 0.304556i | 0.872199 | − | 0.489152i | \(-0.162694\pi\) |
−0.608300 | + | 0.793707i | \(0.708148\pi\) | |||||||
\(72\) | −6.33371 | − | 4.07043i | −0.0879682 | − | 0.0565337i | ||||
\(73\) | −1.65454 | + | 11.5076i | −0.0226649 | + | 0.157638i | −0.998011 | − | 0.0630439i | \(-0.979919\pi\) |
0.975346 | + | 0.220682i | \(0.0708283\pi\) | |||||||
\(74\) | 43.7778 | + | 19.9926i | 0.591592 | + | 0.270171i | ||||
\(75\) | −8.84937 | − | 61.5487i | −0.117992 | − | 0.820650i | ||||
\(76\) | 16.3753 | − | 55.7692i | 0.215465 | − | 0.733806i | ||||
\(77\) | 69.7382 | − | 44.8180i | 0.905691 | − | 0.582053i | ||||
\(78\) | −26.5683 | − | 58.1765i | −0.340619 | − | 0.745853i | ||||
\(79\) | 5.91331 | + | 20.1389i | 0.0748520 | + | 0.254922i | 0.988415 | − | 0.151774i | \(-0.0484987\pi\) |
−0.913563 | + | 0.406697i | \(0.866681\pi\) | |||||||
\(80\) | −4.23206 | − | 3.66710i | −0.0529007 | − | 0.0458387i | ||||
\(81\) | 57.8367 | − | 66.7471i | 0.714033 | − | 0.824038i | ||||
\(82\) | −23.6287 | + | 6.93802i | −0.288155 | + | 0.0846100i | ||||
\(83\) | −15.0149 | + | 6.85707i | −0.180902 | + | 0.0826153i | −0.503807 | − | 0.863816i | \(-0.668068\pi\) |
0.322905 | + | 0.946431i | \(0.395341\pi\) | |||||||
\(84\) | 38.4285 | + | 59.7959i | 0.457482 | + | 0.711855i | ||||
\(85\) | 29.2218 | + | 8.58031i | 0.343786 | + | 0.100945i | ||||
\(86\) | −20.3998 | + | 2.93305i | −0.237207 | + | 0.0341052i | ||||
\(87\) | −6.92065 | + | 15.1541i | −0.0795477 | + | 0.174185i | ||||
\(88\) | 66.2522 | + | 9.52563i | 0.752866 | + | 0.108246i | ||||
\(89\) | 21.3179 | − | 33.1714i | 0.239527 | − | 0.372712i | −0.700589 | − | 0.713565i | \(-0.747079\pi\) |
0.940117 | + | 0.340853i | \(0.110716\pi\) | |||||||
\(90\) | −2.10455 | + | 1.82360i | −0.0233839 | + | 0.0202623i | ||||
\(91\) | 155.794i | 1.71202i | ||||||||
\(92\) | −6.55766 | − | 49.9356i | −0.0712789 | − | 0.542778i | ||||
\(93\) | −111.254 | −1.19628 | ||||||||
\(94\) | −64.0153 | − | 73.8775i | −0.681013 | − | 0.785931i | ||||
\(95\) | −51.1221 | − | 32.8542i | −0.538127 | − | 0.345833i | ||||
\(96\) | −13.4457 | + | 93.5171i | −0.140060 | + | 0.974136i | ||||
\(97\) | −77.7143 | − | 35.4909i | −0.801178 | − | 0.365886i | −0.0276260 | − | 0.999618i | \(-0.508795\pi\) |
−0.773552 | + | 0.633732i | \(0.781522\pi\) | |||||||
\(98\) | 10.9882 | + | 76.4246i | 0.112124 | + | 0.779842i | ||||
\(99\) | 2.04705 | − | 6.97160i | 0.0206772 | − | 0.0704202i | ||||
\(100\) | −36.3981 | + | 23.3916i | −0.363981 | + | 0.233916i | ||||
\(101\) | 9.02736 | + | 19.7672i | 0.0893798 | + | 0.195715i | 0.949043 | − | 0.315147i | \(-0.102054\pi\) |
−0.859663 | + | 0.510861i | \(0.829327\pi\) | |||||||
\(102\) | 15.8692 | + | 54.0454i | 0.155580 | + | 0.529857i | ||||
\(103\) | −76.0694 | − | 65.9145i | −0.738538 | − | 0.639947i | 0.202097 | − | 0.979365i | \(-0.435224\pi\) |
−0.940635 | + | 0.339419i | \(0.889770\pi\) | |||||||
\(104\) | −82.3755 | + | 95.0664i | −0.792072 | + | 0.914100i | ||||
\(105\) | 71.3041 | − | 20.9368i | 0.679087 | − | 0.199398i | ||||
\(106\) | 112.489 | − | 51.3719i | 1.06121 | − | 0.484640i | ||||
\(107\) | 28.2516 | + | 43.9603i | 0.264033 | + | 0.410844i | 0.947804 | − | 0.318853i | \(-0.103298\pi\) |
−0.683771 | + | 0.729697i | \(0.739661\pi\) | |||||||
\(108\) | −53.5318 | − | 15.7183i | −0.495665 | − | 0.145540i | ||||
\(109\) | 69.0753 | − | 9.93152i | 0.633718 | − | 0.0911149i | 0.182033 | − | 0.983292i | \(-0.441732\pi\) |
0.451685 | + | 0.892177i | \(0.350823\pi\) | |||||||
\(110\) | 10.2843 | − | 22.5196i | 0.0934940 | − | 0.204723i | ||||
\(111\) | −111.425 | − | 16.0205i | −1.00383 | − | 0.144329i | ||||
\(112\) | −13.6396 | + | 21.2236i | −0.121782 | + | 0.189496i | ||||
\(113\) | 94.9959 | − | 82.3144i | 0.840672 | − | 0.728446i | −0.123892 | − | 0.992296i | \(-0.539538\pi\) |
0.964564 | + | 0.263850i | \(0.0849923\pi\) | |||||||
\(114\) | − | 112.391i | − | 0.985889i | ||||||
\(115\) | −52.0250 | − | 8.13037i | −0.452391 | − | 0.0706989i | ||||
\(116\) | 11.5919 | 0.0999299 | ||||||||
\(117\) | 8.94221 | + | 10.3199i | 0.0764291 | + | 0.0882039i | ||||
\(118\) | 83.9395 | + | 53.9446i | 0.711352 | + | 0.457158i | ||||
\(119\) | 19.5270 | − | 135.813i | 0.164092 | − | 1.14129i | ||||
\(120\) | 54.5806 | + | 24.9261i | 0.454838 | + | 0.207718i | ||||
\(121\) | −8.02718 | − | 55.8303i | −0.0663403 | − | 0.461407i | ||||
\(122\) | −10.7214 | + | 36.5137i | −0.0878801 | + | 0.299292i | ||||
\(123\) | 48.4577 | − | 31.1419i | 0.393965 | − | 0.253186i | ||||
\(124\) | 32.1579 | + | 70.4160i | 0.259338 | + | 0.567871i | ||||
\(125\) | 28.8694 | + | 98.3201i | 0.230955 | + | 0.786561i | ||||
\(126\) | 9.48153 | + | 8.21579i | 0.0752502 | + | 0.0652047i | ||||
\(127\) | −24.0577 | + | 27.7640i | −0.189430 | + | 0.218614i | −0.842518 | − | 0.538668i | \(-0.818928\pi\) |
0.653088 | + | 0.757282i | \(0.273473\pi\) | |||||||
\(128\) | 50.4456 | − | 14.8122i | 0.394106 | − | 0.115720i | ||||
\(129\) | 43.8503 | − | 20.0257i | 0.339925 | − | 0.155238i | ||||
\(130\) | 25.1541 | + | 39.1405i | 0.193493 | + | 0.301081i | ||||
\(131\) | −98.3863 | − | 28.8888i | −0.751040 | − | 0.220525i | −0.116261 | − | 0.993219i | \(-0.537091\pi\) |
−0.634779 | + | 0.772693i | \(0.718909\pi\) | |||||||
\(132\) | −54.8226 | + | 7.88231i | −0.415323 | + | 0.0597144i | ||||
\(133\) | −113.732 | + | 249.038i | −0.855127 | + | 1.87247i | ||||
\(134\) | 9.33036 | + | 1.34150i | 0.0696295 | + | 0.0100112i | ||||
\(135\) | −31.5360 | + | 49.0710i | −0.233600 | + | 0.363489i | ||||
\(136\) | 83.7263 | − | 72.5492i | 0.615634 | − | 0.533450i | ||||
\(137\) | − | 182.604i | − | 1.33287i | −0.745561 | − | 0.666437i | \(-0.767818\pi\) | ||
0.745561 | − | 0.666437i | \(-0.232182\pi\) | |||||||
\(138\) | −39.3703 | − | 89.0746i | −0.285292 | − | 0.645468i | ||||
\(139\) | 150.203 | 1.08060 | 0.540298 | − | 0.841473i | \(-0.318311\pi\) | ||||
0.540298 | + | 0.841473i | \(0.318311\pi\) | |||||||
\(140\) | −33.8619 | − | 39.0787i | −0.241870 | − | 0.279133i | ||||
\(141\) | 192.353 | + | 123.618i | 1.36421 | + | 0.876722i | ||||
\(142\) | 5.47855 | − | 38.1042i | 0.0385814 | − | 0.268339i | ||||
\(143\) | −110.427 | − | 50.4302i | −0.772215 | − | 0.352659i | ||||
\(144\) | 0.314694 | + | 2.18875i | 0.00218538 | + | 0.0151996i | ||||
\(145\) | 3.41444 | − | 11.6285i | 0.0235479 | − | 0.0801966i | ||||
\(146\) | 13.1590 | − | 8.45677i | 0.0901301 | − | 0.0579231i | ||||
\(147\) | −75.0232 | − | 164.278i | −0.510362 | − | 1.11754i | ||||
\(148\) | 22.0674 | + | 75.1547i | 0.149104 | + | 0.507802i | ||||
\(149\) | −45.4620 | − | 39.3930i | −0.305114 | − | 0.264383i | 0.488823 | − | 0.872383i | \(-0.337426\pi\) |
−0.793937 | + | 0.608000i | \(0.791972\pi\) | |||||||
\(150\) | −54.7873 | + | 63.2279i | −0.365249 | + | 0.421520i | ||||
\(151\) | 77.6109 | − | 22.7886i | 0.513979 | − | 0.150918i | −0.0144495 | − | 0.999896i | \(-0.504600\pi\) |
0.528429 | + | 0.848978i | \(0.322781\pi\) | |||||||
\(152\) | −201.078 | + | 91.8295i | −1.32288 | + | 0.604141i | ||||
\(153\) | −6.50189 | − | 10.1171i | −0.0424960 | − | 0.0661251i | ||||
\(154\) | −107.017 | − | 31.4232i | −0.694919 | − | 0.204047i | ||||
\(155\) | 80.1108 | − | 11.5182i | 0.516844 | − | 0.0743110i | ||||
\(156\) | 43.2405 | − | 94.6835i | 0.277183 | − | 0.606945i | ||||
\(157\) | −121.801 | − | 17.5123i | −0.775799 | − | 0.111543i | −0.256968 | − | 0.966420i | \(-0.582724\pi\) |
−0.518831 | + | 0.854877i | \(0.673633\pi\) | |||||||
\(158\) | 15.2676 | − | 23.7569i | 0.0966304 | − | 0.150360i | ||||
\(159\) | −218.604 | + | 189.422i | −1.37487 | + | 1.19133i | ||||
\(160\) | − | 68.7309i | − | 0.429568i | ||||||
\(161\) | −2.89995 | + | 237.213i | −0.0180121 | + | 1.47337i | ||||
\(162\) | −118.829 | −0.733514 | ||||||||
\(163\) | 198.855 | + | 229.491i | 1.21997 | + | 1.40792i | 0.884935 | + | 0.465715i | \(0.154203\pi\) |
0.335035 | + | 0.942206i | \(0.391252\pi\) | |||||||
\(164\) | −33.7172 | − | 21.6688i | −0.205593 | − | 0.132127i | ||||
\(165\) | −8.24104 | + | 57.3177i | −0.0499457 | + | 0.347380i | ||||
\(166\) | 20.2018 | + | 9.22587i | 0.121698 | + | 0.0555776i | ||||
\(167\) | 32.2123 | + | 224.041i | 0.192888 | + | 1.34157i | 0.824315 | + | 0.566131i | \(0.191560\pi\) |
−0.631427 | + | 0.775435i | \(0.717531\pi\) | |||||||
\(168\) | 76.1602 | − | 259.378i | 0.453335 | − | 1.54392i | ||||
\(169\) | 49.7572 | − | 31.9770i | 0.294421 | − | 0.189213i | ||||
\(170\) | −17.0222 | − | 37.2735i | −0.100131 | − | 0.219256i | ||||
\(171\) | 6.76057 | + | 23.0244i | 0.0395355 | + | 0.134646i | ||||
\(172\) | −25.3497 | − | 21.9657i | −0.147382 | − | 0.127707i | ||||
\(173\) | 46.5540 | − | 53.7262i | 0.269098 | − | 0.310556i | −0.605077 | − | 0.796167i | \(-0.706857\pi\) |
0.874175 | + | 0.485611i | \(0.161403\pi\) | |||||||
\(174\) | 21.5068 | − | 6.31496i | 0.123602 | − | 0.0362929i | ||||
\(175\) | 185.381 | − | 84.6605i | 1.05932 | − | 0.483774i | ||||
\(176\) | −10.6282 | − | 16.5378i | −0.0603875 | − | 0.0939648i | ||||
\(177\) | −223.933 | − | 65.7527i | −1.26516 | − | 0.371484i | ||||
\(178\) | −52.5124 | + | 7.55015i | −0.295014 | + | 0.0424166i | ||||
\(179\) | −11.2744 | + | 24.6875i | −0.0629854 | + | 0.137919i | −0.938507 | − | 0.345260i | \(-0.887791\pi\) |
0.875522 | + | 0.483179i | \(0.160518\pi\) | |||||||
\(180\) | −4.48606 | − | 0.644998i | −0.0249226 | − | 0.00358332i | ||||
\(181\) | 112.540 | − | 175.116i | 0.621768 | − | 0.967490i | −0.377373 | − | 0.926061i | \(-0.623173\pi\) |
0.999141 | − | 0.0414292i | \(-0.0131911\pi\) | |||||||
\(182\) | 158.415 | − | 137.267i | 0.870412 | − | 0.754216i | ||||
\(183\) | − | 89.0125i | − | 0.486407i | ||||||
\(184\) | −127.195 | + | 143.216i | −0.691279 | + | 0.778346i | ||||
\(185\) | 81.8923 | 0.442661 | ||||||||
\(186\) | 98.0245 | + | 113.126i | 0.527013 | + | 0.608206i | ||||
\(187\) | 89.9436 | + | 57.8032i | 0.480982 | + | 0.309108i | ||||
\(188\) | 22.6418 | − | 157.477i | 0.120435 | − | 0.837645i | ||||
\(189\) | 239.047 | + | 109.169i | 1.26480 | + | 0.577614i | ||||
\(190\) | 11.6359 | + | 80.9296i | 0.0612417 | + | 0.425945i | ||||
\(191\) | 66.9746 | − | 228.094i | 0.350652 | − | 1.19421i | −0.575734 | − | 0.817637i | \(-0.695284\pi\) |
0.926386 | − | 0.376575i | \(-0.122898\pi\) | |||||||
\(192\) | 132.840 | − | 85.3711i | 0.691875 | − | 0.444641i | ||||
\(193\) | −8.07013 | − | 17.6711i | −0.0418141 | − | 0.0915602i | 0.887572 | − | 0.460669i | \(-0.152390\pi\) |
−0.929386 | + | 0.369108i | \(0.879663\pi\) | |||||||
\(194\) | 32.3848 | + | 110.292i | 0.166932 | + | 0.568518i | ||||
\(195\) | −82.2460 | − | 71.2666i | −0.421775 | − | 0.365470i | ||||
\(196\) | −82.2908 | + | 94.9687i | −0.419851 | + | 0.484534i | ||||
\(197\) | −273.025 | + | 80.1673i | −1.38591 | + | 0.406941i | −0.887823 | − | 0.460185i | \(-0.847783\pi\) |
−0.498089 | + | 0.867126i | \(0.665965\pi\) | |||||||
\(198\) | −8.89252 | + | 4.06108i | −0.0449117 | + | 0.0205105i | ||||
\(199\) | −124.453 | − | 193.653i | −0.625393 | − | 0.973131i | −0.998963 | − | 0.0455287i | \(-0.985503\pi\) |
0.373570 | − | 0.927602i | \(-0.378134\pi\) | |||||||
\(200\) | 157.885 | + | 46.3591i | 0.789423 | + | 0.231796i | ||||
\(201\) | −21.8241 | + | 3.13783i | −0.108577 | + | 0.0156111i | ||||
\(202\) | 12.1459 | − | 26.5958i | 0.0601282 | − | 0.131662i | ||||
\(203\) | −54.0453 | − | 7.77054i | −0.266233 | − | 0.0382785i | ||||
\(204\) | −49.5624 | + | 77.1206i | −0.242953 | + | 0.378042i | ||||
\(205\) | −31.6688 | + | 27.4412i | −0.154482 | + | 0.133859i | ||||
\(206\) | 135.426i | 0.657406i | ||||||||
\(207\) | 13.4234 | + | 15.8796i | 0.0648473 | + | 0.0767129i | ||||
\(208\) | 36.9451 | 0.177621 | ||||||||
\(209\) | −139.704 | − | 161.227i | −0.668439 | − | 0.771420i | ||||
\(210\) | −84.1140 | − | 54.0568i | −0.400543 | − | 0.257413i | ||||
\(211\) | −44.6752 | + | 310.723i | −0.211731 | + | 1.47262i | 0.555643 | + | 0.831421i | \(0.312472\pi\) |
−0.767374 | + | 0.641200i | \(0.778437\pi\) | |||||||
\(212\) | 183.078 | + | 83.6088i | 0.863574 | + | 0.394381i | ||||
\(213\) | 12.8146 | + | 89.1272i | 0.0601622 | + | 0.418437i | ||||
\(214\) | 19.8079 | − | 67.4597i | 0.0925605 | − | 0.315232i | ||||
\(215\) | −29.5020 | + | 18.9598i | −0.137219 | + | 0.0881850i | ||||
\(216\) | 88.1452 | + | 193.011i | 0.408080 | + | 0.893570i | ||||
\(217\) | −102.728 | − | 349.860i | −0.473402 | − | 1.61226i | ||||
\(218\) | −70.9598 | − | 61.4870i | −0.325504 | − | 0.282051i | ||||
\(219\) | −23.9598 | + | 27.6510i | −0.109405 | + | 0.126260i | ||||
\(220\) | 38.6601 | − | 11.3516i | 0.175728 | − | 0.0515983i | ||||
\(221\) | −182.774 | + | 83.4701i | −0.827031 | + | 0.377693i | ||||
\(222\) | 81.8848 | + | 127.415i | 0.368850 | + | 0.573942i | ||||
\(223\) | −151.479 | − | 44.4783i | −0.679278 | − | 0.199454i | −0.0761477 | − | 0.997097i | \(-0.524262\pi\) |
−0.603131 | + | 0.797642i | \(0.706080\pi\) | |||||||
\(224\) | −306.498 | + | 44.0677i | −1.36829 | + | 0.196731i | ||||
\(225\) | 7.42040 | − | 16.2484i | 0.0329795 | − | 0.0722151i | ||||
\(226\) | −167.399 | − | 24.0683i | −0.740703 | − | 0.106497i | ||||
\(227\) | −29.5680 | + | 46.0087i | −0.130256 | + | 0.202682i | −0.900255 | − | 0.435363i | \(-0.856620\pi\) |
0.769999 | + | 0.638045i | \(0.220256\pi\) | |||||||
\(228\) | 138.241 | − | 119.787i | 0.606321 | − | 0.525380i | ||||
\(229\) | − | 173.588i | − | 0.758025i | −0.925391 | − | 0.379013i | \(-0.876264\pi\) | ||
0.925391 | − | 0.379013i | \(-0.123736\pi\) | |||||||
\(230\) | 37.5713 | + | 60.0639i | 0.163353 | + | 0.261148i | ||||
\(231\) | 260.886 | 1.12938 | ||||||||
\(232\) | −28.8702 | − | 33.3180i | −0.124440 | − | 0.143612i | ||||
\(233\) | 296.516 | + | 190.559i | 1.27260 | + | 0.817852i | 0.989956 | − | 0.141372i | \(-0.0451515\pi\) |
0.282646 | + | 0.959224i | \(0.408788\pi\) | |||||||
\(234\) | 2.61466 | − | 18.1853i | 0.0111737 | − | 0.0777151i | ||||
\(235\) | −151.306 | − | 69.0990i | −0.643854 | − | 0.294038i | ||||
\(236\) | 23.1109 | + | 160.740i | 0.0979274 | + | 0.681100i | ||||
\(237\) | −18.6096 | + | 63.3784i | −0.0785215 | + | 0.267420i | ||||
\(238\) | −155.303 | + | 99.8072i | −0.652534 | + | 0.419358i | ||||
\(239\) | −54.3419 | − | 118.992i | −0.227372 | − | 0.497875i | 0.761220 | − | 0.648494i | \(-0.224601\pi\) |
−0.988592 | + | 0.150619i | \(0.951873\pi\) | |||||||
\(240\) | −4.96497 | − | 16.9091i | −0.0206874 | − | 0.0704548i | ||||
\(241\) | 42.3937 | + | 36.7343i | 0.175907 | + | 0.152425i | 0.738365 | − | 0.674402i | \(-0.235598\pi\) |
−0.562457 | + | 0.826826i | \(0.690144\pi\) | |||||||
\(242\) | −49.6971 | + | 57.3535i | −0.205360 | + | 0.236998i | ||||
\(243\) | 46.6692 | − | 13.7033i | 0.192054 | − | 0.0563922i | ||||
\(244\) | −56.3386 | + | 25.7290i | −0.230896 | + | 0.105447i | ||||
\(245\) | 71.0297 | + | 110.524i | 0.289917 | + | 0.451120i | ||||
\(246\) | −74.3613 | − | 21.8344i | −0.302282 | − | 0.0887579i | ||||
\(247\) | 396.845 | − | 57.0578i | 1.60666 | − | 0.231003i | ||||
\(248\) | 122.302 | − | 267.805i | 0.493155 | − | 1.07986i | ||||
\(249\) | −51.4185 | − | 7.39287i | −0.206500 | − | 0.0296902i | ||||
\(250\) | 74.5381 | − | 115.983i | 0.298152 | − | 0.463934i | ||||
\(251\) | 148.924 | − | 129.043i | 0.593321 | − | 0.514116i | −0.305638 | − | 0.952148i | \(-0.598870\pi\) |
0.898959 | + | 0.438032i | \(0.144324\pi\) | |||||||
\(252\) | 20.4186i | 0.0810264i | ||||||||
\(253\) | −167.198 | − | 78.8410i | −0.660862 | − | 0.311624i | ||||
\(254\) | 49.4280 | 0.194599 | ||||||||
\(255\) | 62.7655 | + | 72.4352i | 0.246139 | + | 0.284060i | ||||
\(256\) | −228.351 | − | 146.752i | −0.891997 | − | 0.573251i | ||||
\(257\) | 19.8378 | − | 137.975i | 0.0771901 | − | 0.536869i | −0.914132 | − | 0.405416i | \(-0.867127\pi\) |
0.991322 | − | 0.131453i | \(-0.0419642\pi\) | |||||||
\(258\) | −58.9985 | − | 26.9437i | −0.228676 | − | 0.104433i | ||||
\(259\) | −52.5064 | − | 365.190i | −0.202727 | − | 1.41000i | ||||
\(260\) | −21.3336 | + | 72.6554i | −0.0820521 | + | 0.279444i | ||||
\(261\) | −4.02600 | + | 2.58735i | −0.0154253 | + | 0.00991324i | ||||
\(262\) | 57.3118 | + | 125.495i | 0.218747 | + | 0.478989i | ||||
\(263\) | 80.6330 | + | 274.611i | 0.306589 | + | 1.04415i | 0.958320 | + | 0.285697i | \(0.0922251\pi\) |
−0.651731 | + | 0.758451i | \(0.725957\pi\) | |||||||
\(264\) | 159.194 | + | 137.943i | 0.603009 | + | 0.522510i | ||||
\(265\) | 137.799 | − | 159.029i | 0.519998 | − | 0.600110i | ||||
\(266\) | 353.436 | − | 103.778i | 1.32871 | − | 0.390144i | ||||
\(267\) | 112.878 | − | 51.5496i | 0.422763 | − | 0.193069i | ||||
\(268\) | 8.29424 | + | 12.9061i | 0.0309487 | + | 0.0481571i | ||||
\(269\) | 443.025 | + | 130.084i | 1.64693 | + | 0.483583i | 0.968069 | − | 0.250683i | \(-0.0806552\pi\) |
0.678862 | + | 0.734266i | \(0.262473\pi\) | |||||||
\(270\) | 77.6827 | − | 11.1691i | 0.287714 | − | 0.0413670i | ||||
\(271\) | −48.8346 | + | 106.933i | −0.180201 | + | 0.394586i | −0.978079 | − | 0.208233i | \(-0.933229\pi\) |
0.797878 | + | 0.602819i | \(0.205956\pi\) | |||||||
\(272\) | −32.2068 | − | 4.63065i | −0.118408 | − | 0.0170244i | ||||
\(273\) | −265.072 | + | 412.461i | −0.970961 | + | 1.51085i | ||||
\(274\) | −185.676 | + | 160.889i | −0.677651 | + | 0.587188i | ||||
\(275\) | 158.803i | 0.577464i | ||||||||
\(276\) | 67.6008 | − | 143.361i | 0.244931 | − | 0.519424i | ||||
\(277\) | −322.473 | −1.16416 | −0.582081 | − | 0.813131i | \(-0.697761\pi\) | ||||
−0.582081 | + | 0.813131i | \(0.697761\pi\) | |||||||
\(278\) | −132.342 | − | 152.730i | −0.476049 | − | 0.549390i | ||||
\(279\) | −26.8860 | − | 17.2786i | −0.0963656 | − | 0.0619304i | ||||
\(280\) | −27.9872 | + | 194.655i | −0.0999542 | + | 0.695197i | ||||
\(281\) | −431.727 | − | 197.163i | −1.53640 | − | 0.701649i | −0.545730 | − | 0.837961i | \(-0.683748\pi\) |
−0.990666 | + | 0.136312i | \(0.956475\pi\) | |||||||
\(282\) | −43.7815 | − | 304.507i | −0.155254 | − | 1.07981i | ||||
\(283\) | −68.5475 | + | 233.451i | −0.242217 | + | 0.824917i | 0.745208 | + | 0.666832i | \(0.232350\pi\) |
−0.987426 | + | 0.158085i | \(0.949468\pi\) | |||||||
\(284\) | 52.7071 | − | 33.8728i | 0.185588 | − | 0.119270i | ||||
\(285\) | −79.4456 | − | 173.962i | −0.278757 | − | 0.610392i | ||||
\(286\) | 46.0166 | + | 156.718i | 0.160897 | + | 0.547965i | ||||
\(287\) | 142.676 | + | 123.629i | 0.497128 | + | 0.430764i | ||||
\(288\) | −17.7732 | + | 20.5114i | −0.0617125 | + | 0.0712200i | ||||
\(289\) | −107.498 | + | 31.5644i | −0.371967 | + | 0.109219i | ||||
\(290\) | −14.8326 | + | 6.77381i | −0.0511468 | + | 0.0233580i | ||||
\(291\) | −145.362 | − | 226.187i | −0.499525 | − | 0.777276i | ||||
\(292\) | 24.4267 | + | 7.17232i | 0.0836530 | + | 0.0245627i | ||||
\(293\) | −228.098 | + | 32.7955i | −0.778491 | + | 0.111930i | −0.520094 | − | 0.854109i | \(-0.674103\pi\) |
−0.258396 | + | 0.966039i | \(0.583194\pi\) | |||||||
\(294\) | −100.940 | + | 221.028i | −0.343334 | + | 0.751797i | ||||
\(295\) | 168.055 | + | 24.1627i | 0.569678 | + | 0.0819073i | ||||
\(296\) | 161.054 | − | 250.604i | 0.544100 | − | 0.846636i | ||||
\(297\) | −154.758 | + | 134.099i | −0.521072 | + | 0.451511i | ||||
\(298\) | 80.9355i | 0.271596i | ||||||||
\(299\) | 294.529 | − | 184.234i | 0.985046 | − | 0.616168i | ||||
\(300\) | −136.163 | −0.453875 | ||||||||
\(301\) | 103.465 | + | 119.405i | 0.343736 | + | 0.396693i | ||||
\(302\) | −91.5538 | − | 58.8381i | −0.303158 | − | 0.194828i | ||||
\(303\) | −9.73274 | + | 67.6927i | −0.0321213 | + | 0.223408i | ||||
\(304\) | 59.0572 | + | 26.9705i | 0.194267 | + | 0.0887189i | ||||
\(305\) | 9.21550 | + | 64.0952i | 0.0302148 | + | 0.210148i | ||||
\(306\) | −4.55865 | + | 15.5253i | −0.0148976 | + | 0.0507364i | ||||
\(307\) | 30.9820 | − | 19.9109i | 0.100919 | − | 0.0648565i | −0.489208 | − | 0.872167i | \(-0.662714\pi\) |
0.590127 | + | 0.807311i | \(0.299078\pi\) | |||||||
\(308\) | −75.4087 | − | 165.122i | −0.244834 | − | 0.536111i | ||||
\(309\) | −89.2433 | − | 303.935i | −0.288813 | − | 0.983607i | ||||
\(310\) | −82.2965 | − | 71.3103i | −0.265472 | − | 0.230033i | ||||
\(311\) | −33.0792 | + | 38.1754i | −0.106364 | + | 0.122750i | −0.806435 | − | 0.591322i | \(-0.798606\pi\) |
0.700071 | + | 0.714073i | \(0.253152\pi\) | |||||||
\(312\) | −379.837 | + | 111.530i | −1.21743 | + | 0.357468i | ||||
\(313\) | 379.824 | − | 173.460i | 1.21349 | − | 0.554184i | 0.297248 | − | 0.954800i | \(-0.403931\pi\) |
0.916246 | + | 0.400616i | \(0.131204\pi\) | |||||||
\(314\) | 89.5097 | + | 139.280i | 0.285063 | + | 0.443566i | ||||
\(315\) | 20.4832 | + | 6.01440i | 0.0650260 | + | 0.0190933i | ||||
\(316\) | 45.4931 | − | 6.54092i | 0.143966 | − | 0.0206991i | ||||
\(317\) | −85.0163 | + | 186.160i | −0.268190 | + | 0.587254i | −0.995033 | − | 0.0995498i | \(-0.968260\pi\) |
0.726842 | + | 0.686804i | \(0.240987\pi\) | |||||||
\(318\) | 385.218 | + | 55.3860i | 1.21138 | + | 0.174170i | ||||
\(319\) | 23.0022 | − | 35.7921i | 0.0721071 | − | 0.112201i | ||||
\(320\) | −86.8156 | + | 75.2261i | −0.271299 | + | 0.235082i | ||||
\(321\) | 164.452i | 0.512312i | ||||||||
\(322\) | 243.759 | − | 206.056i | 0.757016 | − | 0.639925i | ||||
\(323\) | −353.101 | −1.09319 | ||||||||
\(324\) | −126.648 | − | 146.160i | −0.390889 | − | 0.451110i | ||||
\(325\) | −251.067 | − | 161.351i | −0.772514 | − | 0.496465i | ||||
\(326\) | 58.1443 | − | 404.402i | 0.178357 | − | 1.24050i | ||||
\(327\) | 199.773 | + | 91.2335i | 0.610928 | + | 0.279001i | ||||
\(328\) | 21.6931 | + | 150.879i | 0.0661376 | + | 0.459997i | ||||
\(329\) | −211.128 | + | 719.035i | −0.641726 | + | 2.18552i | ||||
\(330\) | 65.5432 | − | 42.1220i | 0.198616 | − | 0.127643i | ||||
\(331\) | 71.1293 | + | 155.751i | 0.214892 | + | 0.470548i | 0.986125 | − | 0.166005i | \(-0.0530868\pi\) |
−0.771233 | + | 0.636553i | \(0.780360\pi\) | |||||||
\(332\) | 10.1833 | + | 34.6812i | 0.0306726 | + | 0.104461i | ||||
\(333\) | −24.4391 | − | 21.1766i | −0.0733908 | − | 0.0635935i | ||||
\(334\) | 199.429 | − | 230.154i | 0.597094 | − | 0.689083i | ||||
\(335\) | 15.3900 | − | 4.51891i | 0.0459403 | − | 0.0134893i | ||||
\(336\) | −72.2211 | + | 32.9823i | −0.214944 | + | 0.0981616i | ||||
\(337\) | 228.387 | + | 355.377i | 0.677706 | + | 1.05453i | 0.994367 | + | 0.105993i | \(0.0338020\pi\) |
−0.316661 | + | 0.948539i | \(0.602562\pi\) | |||||||
\(338\) | −76.3553 | − | 22.4199i | −0.225903 | − | 0.0663312i | ||||
\(339\) | 391.552 | − | 56.2967i | 1.15502 | − | 0.166067i | ||||
\(340\) | 27.7040 | − | 60.6634i | 0.0814825 | − | 0.178422i | ||||
\(341\) | 281.235 | + | 40.4354i | 0.824735 | + | 0.118579i | ||||
\(342\) | 17.4552 | − | 27.1608i | 0.0510385 | − | 0.0794175i | ||||
\(343\) | 65.3709 | − | 56.6442i | 0.190586 | − | 0.165143i | ||||
\(344\) | 127.568i | 0.370838i | ||||||||
\(345\) | −123.902 | − | 110.042i | −0.359136 | − | 0.318963i | ||||
\(346\) | −95.6482 | −0.276440 | ||||||||
\(347\) | −102.928 | − | 118.785i | −0.296623 | − | 0.342321i | 0.587801 | − | 0.809006i | \(-0.299994\pi\) |
−0.884424 | + | 0.466685i | \(0.845448\pi\) | |||||||
\(348\) | 30.6893 | + | 19.7228i | 0.0881876 | + | 0.0566747i | ||||
\(349\) | 26.1822 | − | 182.101i | 0.0750206 | − | 0.521779i | −0.917311 | − | 0.398172i | \(-0.869645\pi\) |
0.992331 | − | 0.123607i | \(-0.0394463\pi\) | |||||||
\(350\) | −249.421 | − | 113.907i | −0.712632 | − | 0.325448i | ||||
\(351\) | −54.7686 | − | 380.924i | −0.156036 | − | 1.08525i | ||||
\(352\) | 67.9777 | − | 231.511i | 0.193118 | − | 0.657701i | ||||
\(353\) | 191.548 | − | 123.101i | 0.542630 | − | 0.348727i | −0.240437 | − | 0.970665i | \(-0.577291\pi\) |
0.783067 | + | 0.621938i | \(0.213654\pi\) | |||||||
\(354\) | 130.445 | + | 285.635i | 0.368489 | + | 0.806878i | ||||
\(355\) | −18.4547 | − | 62.8511i | −0.0519852 | − | 0.177045i | ||||
\(356\) | −65.2544 | − | 56.5432i | −0.183299 | − | 0.158829i | ||||
\(357\) | 282.774 | − | 326.339i | 0.792084 | − | 0.914114i | ||||
\(358\) | 35.0366 | − | 10.2877i | 0.0978675 | − | 0.0287365i | ||||
\(359\) | −49.1496 | + | 22.4459i | −0.136907 | + | 0.0625233i | −0.482690 | − | 0.875791i | \(-0.660340\pi\) |
0.345784 | + | 0.938314i | \(0.387613\pi\) | |||||||
\(360\) | 9.31888 | + | 14.5005i | 0.0258858 | + | 0.0402791i | ||||
\(361\) | 329.639 | + | 96.7908i | 0.913128 | + | 0.268119i | ||||
\(362\) | −277.220 | + | 39.8582i | −0.765800 | + | 0.110105i | ||||
\(363\) | 73.7397 | − | 161.467i | 0.203140 | − | 0.444814i | ||||
\(364\) | 337.677 | + | 48.5506i | 0.927684 | + | 0.133381i | ||||
\(365\) | 14.3900 | − | 22.3912i | 0.0394246 | − | 0.0613458i | ||||
\(366\) | −90.5102 | + | 78.4276i | −0.247296 | + | 0.214283i | ||||
\(367\) | 503.890i | 1.37300i | 0.727131 | + | 0.686499i | \(0.240853\pi\) | ||||
−0.727131 | + | 0.686499i | \(0.759147\pi\) | |||||||
\(368\) | 56.2529 | + | 0.687697i | 0.152861 | + | 0.00186874i | ||||
\(369\) | 16.5470 | 0.0448428 | ||||||||
\(370\) | −72.1541 | − | 83.2703i | −0.195011 | − | 0.225055i | ||||
\(371\) | −797.525 | − | 512.538i | −2.14966 | − | 1.38150i | ||||
\(372\) | −34.6707 | + | 241.140i | −0.0932007 | + | 0.648225i | ||||
\(373\) | 297.027 | + | 135.648i | 0.796318 | + | 0.363666i | 0.771664 | − | 0.636030i | \(-0.219424\pi\) |
0.0246535 | + | 0.999696i | \(0.492152\pi\) | |||||||
\(374\) | −20.4721 | − | 142.387i | −0.0547382 | − | 0.380713i | ||||
\(375\) | −90.8539 | + | 309.420i | −0.242277 | + | 0.825120i | ||||
\(376\) | −509.020 | + | 327.127i | −1.35378 | + | 0.870019i | ||||
\(377\) | 33.2160 | + | 72.7329i | 0.0881061 | + | 0.192925i | ||||
\(378\) | −99.6146 | − | 339.256i | −0.263531 | − | 0.897503i | ||||
\(379\) | 266.695 | + | 231.092i | 0.703680 | + | 0.609742i | 0.931406 | − | 0.363983i | \(-0.118583\pi\) |
−0.227725 | + | 0.973725i | \(0.573129\pi\) | |||||||
\(380\) | −87.1417 | + | 100.567i | −0.229320 | + | 0.264650i | ||||
\(381\) | −110.931 | + | 32.5722i | −0.291157 | + | 0.0854915i | ||||
\(382\) | −290.943 | + | 132.869i | −0.761630 | + | 0.347825i | ||||
\(383\) | −290.623 | − | 452.218i | −0.758806 | − | 1.18072i | −0.978719 | − | 0.205205i | \(-0.934214\pi\) |
0.219913 | − | 0.975519i | \(-0.429423\pi\) | |||||||
\(384\) | 158.756 | + | 46.6149i | 0.413427 | + | 0.121393i | ||||
\(385\) | −187.856 | + | 27.0096i | −0.487938 | + | 0.0701548i | ||||
\(386\) | −10.8580 | + | 23.7757i | −0.0281295 | + | 0.0615950i | ||||
\(387\) | 13.7071 | + | 1.97079i | 0.0354189 | + | 0.00509247i | ||||
\(388\) | −101.144 | + | 157.383i | −0.260680 | + | 0.405626i | ||||
\(389\) | 10.6600 | − | 9.23695i | 0.0274036 | − | 0.0237454i | −0.641051 | − | 0.767498i | \(-0.721501\pi\) |
0.668455 | + | 0.743753i | \(0.266956\pi\) | |||||||
\(390\) | 146.422i | 0.375441i | ||||||||
\(391\) | −279.847 | + | 123.690i | −0.715721 | + | 0.316343i | ||||
\(392\) | 477.914 | 1.21917 | ||||||||
\(393\) | −211.324 | − | 243.880i | −0.537719 | − | 0.620561i | ||||
\(394\) | 322.074 | + | 206.984i | 0.817447 | + | 0.525341i | ||||
\(395\) | 6.83861 | − | 47.5635i | 0.0173129 | − | 0.120414i | ||||
\(396\) | −14.4728 | − | 6.60949i | −0.0365474 | − | 0.0166906i | ||||
\(397\) | −20.9638 | − | 145.807i | −0.0528056 | − | 0.367271i | −0.999041 | − | 0.0437913i | \(-0.986056\pi\) |
0.946235 | − | 0.323480i | \(-0.104853\pi\) | |||||||
\(398\) | −87.2576 | + | 297.172i | −0.219240 | + | 0.746663i | ||||
\(399\) | −724.825 | + | 465.817i | −1.81661 | + | 1.16746i | ||||
\(400\) | −20.0765 | − | 43.9614i | −0.0501912 | − | 0.109903i | ||||
\(401\) | 93.4983 | + | 318.426i | 0.233163 | + | 0.794080i | 0.990072 | + | 0.140560i | \(0.0448903\pi\) |
−0.756909 | + | 0.653520i | \(0.773292\pi\) | |||||||
\(402\) | 22.4195 | + | 19.4266i | 0.0557699 | + | 0.0483249i | ||||
\(403\) | −349.676 | + | 403.548i | −0.867683 | + | 1.00136i | ||||
\(404\) | 45.6579 | − | 13.4064i | 0.113015 | − | 0.0331841i | ||||
\(405\) | −183.926 | + | 83.9964i | −0.454140 | + | 0.207399i | ||||
\(406\) | 39.7172 | + | 61.8011i | 0.0978256 | + | 0.152220i | ||||
\(407\) | 275.843 | + | 80.9949i | 0.677748 | + | 0.199005i | ||||
\(408\) | 345.102 | − | 49.6181i | 0.845837 | − | 0.121613i | ||||
\(409\) | 305.548 | − | 669.057i | 0.747061 | − | 1.63584i | −0.0245148 | − | 0.999699i | \(-0.507804\pi\) |
0.771576 | − | 0.636137i | \(-0.219469\pi\) | |||||||
\(410\) | 55.8058 | + | 8.02367i | 0.136112 | + | 0.0195699i | ||||
\(411\) | 310.688 | − | 483.441i | 0.755933 | − | 1.17625i | ||||
\(412\) | −166.573 | + | 144.337i | −0.404304 | + | 0.350331i | ||||
\(413\) | − | 764.915i | − | 1.85209i | ||||||
\(414\) | 4.31960 | − | 27.6405i | 0.0104338 | − | 0.0667645i | ||||
\(415\) | 37.7903 | 0.0910610 | ||||||||
\(416\) | 296.950 | + | 342.699i | 0.713823 | + | 0.823795i | ||||
\(417\) | 397.660 | + | 255.560i | 0.953621 | + | 0.612855i | ||||
\(418\) | −40.8487 | + | 284.109i | −0.0977241 | + | 0.679686i | ||||
\(419\) | −259.291 | − | 118.414i | −0.618832 | − | 0.282611i | 0.0812277 | − | 0.996696i | \(-0.474116\pi\) |
−0.700059 | + | 0.714085i | \(0.746843\pi\) | |||||||
\(420\) | −23.1589 | − | 161.074i | −0.0551403 | − | 0.383509i | ||||
\(421\) | 165.419 | − | 563.364i | 0.392918 | − | 1.33816i | −0.491263 | − | 0.871011i | \(-0.663465\pi\) |
0.884181 | − | 0.467145i | \(-0.154717\pi\) | |||||||
\(422\) | 355.314 | − | 228.346i | 0.841976 | − | 0.541105i | ||||
\(423\) | 27.2858 | + | 59.7476i | 0.0645055 | + | 0.141247i | ||||
\(424\) | −215.652 | − | 734.444i | −0.508614 | − | 1.73218i | ||||
\(425\) | 198.644 | + | 172.126i | 0.467398 | + | 0.405003i | ||||
\(426\) | 79.3361 | − | 91.5588i | 0.186235 | − | 0.214927i | ||||
\(427\) | 279.917 | − | 82.1910i | 0.655543 | − | 0.192485i | ||||
\(428\) | 104.087 | − | 47.5347i | 0.243193 | − | 0.111062i | ||||
\(429\) | −206.549 | − | 321.397i | −0.481467 | − | 0.749177i | ||||
\(430\) | 45.2725 | + | 13.2932i | 0.105285 | + | 0.0309145i | ||||
\(431\) | −638.587 | + | 91.8149i | −1.48164 | + | 0.213028i | −0.835204 | − | 0.549941i | \(-0.814650\pi\) |
−0.646436 | + | 0.762968i | \(0.723741\pi\) | |||||||
\(432\) | 25.8885 | − | 56.6878i | 0.0599270 | − | 0.131222i | ||||
\(433\) | −86.2796 | − | 12.4051i | −0.199260 | − | 0.0286493i | 0.0419621 | − | 0.999119i | \(-0.486639\pi\) |
−0.241222 | + | 0.970470i | \(0.577548\pi\) | |||||||
\(434\) | −265.235 | + | 412.714i | −0.611140 | + | 0.950953i | ||||
\(435\) | 28.8248 | − | 24.9768i | 0.0662639 | − | 0.0574180i | ||||
\(436\) | − | 152.813i | − | 0.350489i | ||||||
\(437\) | 605.303 | − | 79.4898i | 1.38513 | − | 0.181899i | ||||
\(438\) | 49.2269 | 0.112390 | ||||||||
\(439\) | 166.005 | + | 191.579i | 0.378142 | + | 0.436400i | 0.912636 | − | 0.408773i | \(-0.134043\pi\) |
−0.534494 | + | 0.845172i | \(0.679498\pi\) | |||||||
\(440\) | −128.912 | − | 82.8469i | −0.292983 | − | 0.188289i | ||||
\(441\) | 7.38323 | − | 51.3515i | 0.0167420 | − | 0.116443i | ||||
\(442\) | 245.914 | + | 112.305i | 0.556366 | + | 0.254084i | ||||
\(443\) | 100.645 | + | 700.000i | 0.227189 | + | 1.58014i | 0.709865 | + | 0.704337i | \(0.248756\pi\) |
−0.482676 | + | 0.875799i | \(0.660335\pi\) | |||||||
\(444\) | −69.4477 | + | 236.517i | −0.156414 | + | 0.532696i | ||||
\(445\) | −75.9429 | + | 48.8056i | −0.170658 | + | 0.109675i | ||||
\(446\) | 88.2392 | + | 193.217i | 0.197846 | + | 0.433222i | ||||
\(447\) | −53.3352 | − | 181.643i | −0.119318 | − | 0.406360i | ||||
\(448\) | 391.126 | + | 338.912i | 0.873048 | + | 0.756501i | ||||
\(449\) | 268.808 | − | 310.221i | 0.598681 | − | 0.690915i | −0.372832 | − | 0.927899i | \(-0.621613\pi\) |
0.971514 | + | 0.236984i | \(0.0761588\pi\) | |||||||
\(450\) | −23.0598 | + | 6.77097i | −0.0512440 | + | 0.0150466i | ||||
\(451\) | −133.813 | + | 61.1102i | −0.296702 | + | 0.135499i | ||||
\(452\) | −148.810 | − | 231.552i | −0.329225 | − | 0.512284i | ||||
\(453\) | 244.247 | + | 71.7173i | 0.539176 | + | 0.158316i | ||||
\(454\) | 72.8348 | − | 10.4721i | 0.160429 | − | 0.0230662i | ||||
\(455\) | 148.168 | − | 324.444i | 0.325645 | − | 0.713063i | ||||
\(456\) | −688.594 | − | 99.0048i | −1.51007 | − | 0.217116i | ||||
\(457\) | −418.002 | + | 650.423i | −0.914664 | + | 1.42325i | −0.00866652 | + | 0.999962i | \(0.502759\pi\) |
−0.905998 | + | 0.423283i | \(0.860878\pi\) | |||||||
\(458\) | −176.509 | + | 152.946i | −0.385390 | + | 0.333942i | ||||
\(459\) | 338.935i | 0.738420i | ||||||||
\(460\) | −33.8351 | + | 110.229i | −0.0735545 | + | 0.239628i | ||||
\(461\) | 378.361 | 0.820739 | 0.410369 | − | 0.911919i | \(-0.365400\pi\) | ||||
0.410369 | + | 0.911919i | \(0.365400\pi\) | |||||||
\(462\) | −229.862 | − | 265.275i | −0.497538 | − | 0.574189i | ||||
\(463\) | −97.0838 | − | 62.3919i | −0.209684 | − | 0.134756i | 0.431584 | − | 0.902073i | \(-0.357955\pi\) |
−0.641268 | + | 0.767317i | \(0.721591\pi\) | |||||||
\(464\) | −1.84271 | + | 12.8164i | −0.00397137 | + | 0.0276215i | ||||
\(465\) | 231.690 | + | 105.809i | 0.498257 | + | 0.227546i | ||||
\(466\) | −67.4902 | − | 469.405i | −0.144829 | − | 1.00731i | ||||
\(467\) | −1.77496 | + | 6.04497i | −0.00380078 | + | 0.0129443i | −0.961372 | − | 0.275254i | \(-0.911238\pi\) |
0.957571 | + | 0.288198i | \(0.0930562\pi\) | |||||||
\(468\) | 25.1546 | − | 16.1659i | 0.0537492 | − | 0.0345425i | ||||
\(469\) | −30.0191 | − | 65.7326i | −0.0640066 | − | 0.140155i | ||||
\(470\) | 63.0515 | + | 214.734i | 0.134152 | + | 0.456880i | ||||
\(471\) | −292.669 | − | 253.599i | −0.621377 | − | 0.538427i | ||||
\(472\) | 404.447 | − | 466.757i | 0.856879 | − | 0.988892i | ||||
\(473\) | −118.125 | + | 34.6848i | −0.249737 | + | 0.0733293i | ||||
\(474\) | 80.8415 | − | 36.9191i | 0.170552 | − | 0.0778883i | ||||
\(475\) | −283.545 | − | 441.205i | −0.596938 | − | 0.928853i | ||||
\(476\) | −288.285 | − | 84.6480i | −0.605640 | − | 0.177832i | ||||
\(477\) | −82.2470 | + | 11.8253i | −0.172426 | + | 0.0247911i | ||||
\(478\) | −73.1145 | + | 160.098i | −0.152959 | + | 0.334934i | ||||
\(479\) | 176.586 | + | 25.3892i | 0.368655 | + | 0.0530046i | 0.324153 | − | 0.946005i | \(-0.394921\pi\) |
0.0445023 | + | 0.999009i | \(0.485830\pi\) | |||||||
\(480\) | 116.941 | − | 181.964i | 0.243627 | − | 0.379091i | ||||
\(481\) | −408.323 | + | 353.814i | −0.848905 | + | 0.735580i | ||||
\(482\) | − | 75.4731i | − | 0.156583i | ||||||
\(483\) | −411.279 | + | 623.083i | −0.851510 | + | 1.29003i | ||||
\(484\) | −123.512 | −0.255190 | ||||||||
\(485\) | 128.088 | + | 147.821i | 0.264099 | + | 0.304786i | ||||
\(486\) | −55.0534 | − | 35.3807i | −0.113279 | − | 0.0727998i | ||||
\(487\) | −20.8008 | + | 144.672i | −0.0427120 | + | 0.297069i | 0.957257 | + | 0.289238i | \(0.0934018\pi\) |
−0.999969 | + | 0.00783097i | \(0.997507\pi\) | |||||||
\(488\) | 214.266 | + | 97.8519i | 0.439069 | + | 0.200516i | ||||
\(489\) | 136.002 | + | 945.912i | 0.278122 | + | 1.93438i | ||||
\(490\) | 49.8009 | − | 169.606i | 0.101634 | − | 0.346135i | ||||
\(491\) | 269.661 | − | 173.301i | 0.549208 | − | 0.352954i | −0.236423 | − | 0.971650i | \(-0.575975\pi\) |
0.785631 | + | 0.618696i | \(0.212339\pi\) | |||||||
\(492\) | −52.3979 | − | 114.735i | −0.106500 | − | 0.233202i | ||||
\(493\) | −19.8398 | − | 67.5681i | −0.0402430 | − | 0.137055i | ||||
\(494\) | −407.672 | − | 353.250i | −0.825248 | − | 0.715081i | ||||
\(495\) | −10.8934 | + | 12.5717i | −0.0220069 | + | 0.0253973i | ||||
\(496\) | −82.9663 | + | 24.3611i | −0.167271 | + | 0.0491152i | ||||
\(497\) | −268.445 | + | 122.595i | −0.540131 | + | 0.246669i | ||||
\(498\) | 37.7868 | + | 58.7975i | 0.0758772 | + | 0.118067i | ||||
\(499\) | −397.621 | − | 116.752i | −0.796836 | − | 0.233972i | −0.142122 | − | 0.989849i | \(-0.545393\pi\) |
−0.654714 | + | 0.755877i | \(0.727211\pi\) | |||||||
\(500\) | 222.102 | − | 31.9335i | 0.444204 | − | 0.0638669i | ||||
\(501\) | −295.910 | + | 647.953i | −0.590639 | + | 1.29332i | ||||
\(502\) | −262.429 | − | 37.7316i | −0.522767 | − | 0.0751625i | ||||
\(503\) | 387.279 | − | 602.617i | 0.769938 | − | 1.19805i | −0.205691 | − | 0.978617i | \(-0.565944\pi\) |
0.975628 | − | 0.219430i | \(-0.0704196\pi\) | |||||||
\(504\) | 58.6883 | − | 50.8537i | 0.116445 | − | 0.100900i | ||||
\(505\) | − | 49.7511i | − | 0.0985170i | ||||||
\(506\) | 67.1481 | + | 239.477i | 0.132704 | + | 0.473275i | ||||
\(507\) | 186.138 | 0.367136 | ||||||||
\(508\) | 52.6804 | + | 60.7964i | 0.103701 | + | 0.119678i | ||||
\(509\) | −168.764 | − | 108.458i | −0.331560 | − | 0.213080i | 0.364260 | − | 0.931297i | \(-0.381322\pi\) |
−0.695819 | + | 0.718217i | \(0.744958\pi\) | |||||||
\(510\) | 18.3523 | − | 127.643i | 0.0359849 | − | 0.250281i | ||||
\(511\) | −109.078 | − | 49.8141i | −0.213459 | − | 0.0974835i | ||||
\(512\) | 22.0461 | + | 153.334i | 0.0430588 | + | 0.299481i | ||||
\(513\) | 190.533 | − | 648.894i | 0.371408 | − | 1.26490i | ||||
\(514\) | −157.776 | + | 101.396i | −0.306957 | + | 0.197269i | ||||
\(515\) | 95.7278 | + | 209.615i | 0.185879 | + | 0.407019i | ||||
\(516\) | −29.7399 | − | 101.285i | −0.0576354 | − | 0.196288i | ||||
\(517\) | −441.311 | − | 382.399i | −0.853600 | − | 0.739649i | ||||
\(518\) | −325.072 | + | 375.153i | −0.627552 | + | 0.724234i | ||||
\(519\) | 214.663 | − | 63.0306i | 0.413608 | − | 0.121446i | ||||
\(520\) | 261.962 | − | 119.634i | 0.503774 | − | 0.230066i | ||||
\(521\) | 347.311 | + | 540.427i | 0.666624 | + | 1.03729i | 0.995669 | + | 0.0929733i | \(0.0296371\pi\) |
−0.329044 | + | 0.944315i | \(0.606727\pi\) | |||||||
\(522\) | 6.17814 | + | 1.81407i | 0.0118355 | + | 0.00347522i | ||||
\(523\) | 177.710 | − | 25.5509i | 0.339790 | − | 0.0488545i | 0.0296924 | − | 0.999559i | \(-0.490547\pi\) |
0.310098 | + | 0.950705i | \(0.399638\pi\) | |||||||
\(524\) | −93.2761 | + | 204.246i | −0.178008 | + | 0.389783i | ||||
\(525\) | 634.836 | + | 91.2757i | 1.20921 | + | 0.173858i | ||||
\(526\) | 208.187 | − | 323.945i | 0.395793 | − | 0.615865i | ||||
\(527\) | 355.410 | − | 307.965i | 0.674403 | − | 0.584373i | ||||
\(528\) | − | 61.8668i | − | 0.117172i | ||||||
\(529\) | 451.882 | − | 275.034i | 0.854219 | − | 0.519914i | ||||
\(530\) | −283.118 | −0.534185 | ||||||||
\(531\) | −43.9044 | − | 50.6684i | −0.0826826 | − | 0.0954208i | ||||
\(532\) | 504.339 | + | 324.119i | 0.948006 | + | 0.609246i | ||||
\(533\) | 39.3448 | − | 273.649i | 0.0738176 | − | 0.513412i | ||||
\(534\) | −151.872 | − | 69.3575i | −0.284404 | − | 0.129883i | ||||
\(535\) | −17.0258 | − | 118.417i | −0.0318239 | − | 0.221340i | ||||
\(536\) | 16.4381 | − | 55.9831i | 0.0306681 | − | 0.104446i | ||||
\(537\) | −71.8528 | + | 46.1770i | −0.133804 | + | 0.0859907i | ||||
\(538\) | −258.070 | − | 565.094i | −0.479683 | − | 1.05036i | ||||
\(539\) | 129.941 | + | 442.538i | 0.241078 | + | 0.821035i | ||||
\(540\) | 96.5321 | + | 83.6455i | 0.178763 | + | 0.154899i | ||||
\(541\) | −527.967 | + | 609.307i | −0.975910 | + | 1.12626i | 0.0160703 | + | 0.999871i | \(0.494884\pi\) |
−0.991981 | + | 0.126390i | \(0.959661\pi\) | |||||||
\(542\) | 151.760 | − | 44.5606i | 0.279999 | − | 0.0822152i | ||||
\(543\) | 595.896 | − | 272.137i | 1.09741 | − | 0.501172i | ||||
\(544\) | −215.913 | − | 335.967i | −0.396899 | − | 0.617586i | ||||
\(545\) | −153.296 | − | 45.0118i | −0.281278 | − | 0.0825905i | ||||
\(546\) | 652.952 | − | 93.8804i | 1.19588 | − | 0.171942i | ||||
\(547\) | −57.4155 | + | 125.722i | −0.104964 | + | 0.229840i | −0.954826 | − | 0.297166i | \(-0.903958\pi\) |
0.849861 | + | 0.527006i | \(0.176686\pi\) | |||||||
\(548\) | −395.788 | − | 56.9057i | −0.722240 | − | 0.103842i | ||||
\(549\) | 13.8243 | − | 21.5110i | 0.0251808 | − | 0.0391821i | ||||
\(550\) | 161.475 | − | 139.919i | 0.293590 | − | 0.254397i | ||||
\(551\) | 140.513i | 0.255014i | ||||||||
\(552\) | −580.419 | + | 162.747i | −1.05148 | + | 0.294831i | ||||
\(553\) | −216.489 | −0.391481 | ||||||||
\(554\) | 284.126 | + | 327.899i | 0.512862 | + | 0.591875i | ||||
\(555\) | 216.809 | + | 139.334i | 0.390646 | + | 0.251053i | ||||
\(556\) | 46.8084 | − | 325.560i | 0.0841878 | − | 0.585539i | ||||
\(557\) | 94.7549 | + | 43.2731i | 0.170117 | + | 0.0776896i | 0.498653 | − | 0.866802i | \(-0.333828\pi\) |
−0.328537 | + | 0.944491i | \(0.606555\pi\) | |||||||
\(558\) | 6.11953 | + | 42.5623i | 0.0109669 | + | 0.0762765i | ||||
\(559\) | 65.1845 | − | 221.998i | 0.116609 | − | 0.397134i | ||||
\(560\) | 48.5896 | − | 31.2266i | 0.0867671 | − | 0.0557618i | ||||
\(561\) | 139.776 | + | 306.066i | 0.249155 | + | 0.545572i | ||||
\(562\) | 179.908 | + | 612.709i | 0.320120 | + | 1.09023i | ||||
\(563\) | −165.885 | − | 143.740i | −0.294645 | − | 0.255311i | 0.494975 | − | 0.868907i | \(-0.335177\pi\) |
−0.789620 | + | 0.613596i | \(0.789723\pi\) | |||||||
\(564\) | 327.881 | − | 378.395i | 0.581349 | − | 0.670913i | ||||
\(565\) | −276.117 | + | 81.0752i | −0.488702 | + | 0.143496i | ||||
\(566\) | 297.776 | − | 135.990i | 0.526106 | − | 0.240264i | ||||
\(567\) | 492.500 | + | 766.345i | 0.868606 | + | 1.35158i | ||||
\(568\) | −228.629 | − | 67.1315i | −0.402515 | − | 0.118189i | ||||
\(569\) | −865.074 | + | 124.379i | −1.52034 | + | 0.218592i | −0.851318 | − | 0.524650i | \(-0.824196\pi\) |
−0.669023 | + | 0.743242i | \(0.733287\pi\) | |||||||
\(570\) | −106.890 | + | 234.057i | −0.187527 | + | 0.410627i | ||||
\(571\) | 147.961 | + | 21.2736i | 0.259127 | + | 0.0372568i | 0.270654 | − | 0.962677i | \(-0.412760\pi\) |
−0.0115270 | + | 0.999934i | \(0.503669\pi\) | |||||||
\(572\) | −143.718 | + | 223.630i | −0.251256 | + | 0.390962i | ||||
\(573\) | 565.402 | − | 489.923i | 0.986739 | − | 0.855014i | ||||
\(574\) | − | 254.004i | − | 0.442516i | ||||||
\(575\) | −379.274 | − | 250.348i | −0.659606 | − | 0.435388i | ||||
\(576\) | 45.3612 | 0.0787521 | ||||||||
\(577\) | −554.057 | − | 639.416i | −0.960238 | − | 1.10817i | −0.994070 | − | 0.108746i | \(-0.965317\pi\) |
0.0338319 | − | 0.999428i | \(-0.489229\pi\) | |||||||
\(578\) | 126.811 | + | 81.4962i | 0.219396 | + | 0.140997i | ||||
\(579\) | 8.70071 | − | 60.5148i | 0.0150271 | − | 0.104516i | ||||
\(580\) | −24.1403 | − | 11.0245i | −0.0416213 | − | 0.0190078i | ||||
\(581\) | −24.2298 | − | 168.522i | −0.0417036 | − | 0.290055i | ||||
\(582\) | −101.917 | + | 347.098i | −0.175115 | + | 0.596388i | ||||
\(583\) | 621.445 | − | 399.379i | 1.06594 | − | 0.685041i | ||||
\(584\) | −40.2209 | − | 88.0714i | −0.0688714 | − | 0.150807i | ||||
\(585\) | −8.80758 | − | 29.9959i | −0.0150557 | − | 0.0512750i | ||||
\(586\) | 234.321 | + | 203.040i | 0.399865 | + | 0.346485i | ||||
\(587\) | −488.077 | + | 563.271i | −0.831477 | + | 0.959576i | −0.999657 | − | 0.0261807i | \(-0.991665\pi\) |
0.168180 | + | 0.985756i | \(0.446211\pi\) | |||||||
\(588\) | −379.447 | + | 111.416i | −0.645317 | + | 0.189482i | ||||
\(589\) | −853.560 | + | 389.808i | −1.44917 | + | 0.661813i | ||||
\(590\) | −123.501 | − | 192.172i | −0.209325 | − | 0.325715i | ||||
\(591\) | −859.227 | − | 252.292i | −1.45385 | − | 0.426890i | ||||
\(592\) | −86.6016 | + | 12.4514i | −0.146286 | + | 0.0210328i | ||||
\(593\) | 268.581 | − | 588.110i | 0.452919 | − | 0.991754i | −0.536126 | − | 0.844138i | \(-0.680113\pi\) |
0.989045 | − | 0.147616i | \(-0.0471601\pi\) | |||||||
\(594\) | 272.710 | + | 39.2098i | 0.459108 | + | 0.0660098i | ||||
\(595\) | −169.831 | + | 264.262i | −0.285430 | + | 0.444138i | ||||
\(596\) | −99.5505 | + | 86.2610i | −0.167031 | + | 0.144733i | ||||
\(597\) | − | 724.442i | − | 1.21347i | ||||||
\(598\) | −446.839 | − | 137.159i | −0.747222 | − | 0.229362i | ||||
\(599\) | −385.426 | −0.643449 | −0.321724 | − | 0.946833i | \(-0.604262\pi\) | ||||
−0.321724 | + | 0.946833i | \(0.604262\pi\) | |||||||
\(600\) | 339.120 | + | 391.365i | 0.565200 | + | 0.652276i | ||||
\(601\) | 804.595 | + | 517.082i | 1.33876 | + | 0.860369i | 0.996846 | − | 0.0793627i | \(-0.0252885\pi\) |
0.341914 | + | 0.939731i | \(0.388925\pi\) | |||||||
\(602\) | 30.2525 | − | 210.411i | 0.0502534 | − | 0.349520i | ||||
\(603\) | −5.76139 | − | 2.63114i | −0.00955454 | − | 0.00436341i | ||||
\(604\) | −25.2073 | − | 175.321i | −0.0417339 | − | 0.290266i | ||||
\(605\) | −36.3809 | + | 123.902i | −0.0601338 | + | 0.204797i | ||||
\(606\) | 77.4071 | − | 49.7465i | 0.127734 | − | 0.0820900i | ||||
\(607\) | −69.1866 | − | 151.498i | −0.113981 | − | 0.249584i | 0.844041 | − | 0.536279i | \(-0.180171\pi\) |
−0.958022 | + | 0.286695i | \(0.907443\pi\) | |||||||
\(608\) | 224.503 | + | 764.588i | 0.369249 | + | 1.25755i | ||||
\(609\) | −129.863 | − | 112.527i | −0.213240 | − | 0.184773i | ||||
\(610\) | 57.0541 | − | 65.8439i | 0.0935312 | − | 0.107941i | ||||
\(611\) | 1052.97 | − | 309.179i | 1.72335 | − | 0.506021i | ||||
\(612\) | −23.9548 | + | 10.9398i | −0.0391418 | + | 0.0178754i | ||||
\(613\) | 437.247 | + | 680.370i | 0.713291 | + | 1.10990i | 0.988893 | + | 0.148630i | \(0.0474864\pi\) |
−0.275602 | + | 0.961272i | \(0.588877\pi\) | |||||||
\(614\) | −47.5438 | − | 13.9601i | −0.0774329 | − | 0.0227363i | ||||
\(615\) | −130.532 | + | 18.7677i | −0.212247 | + | 0.0305165i | ||||
\(616\) | −286.793 | + | 627.989i | −0.465573 | + | 1.01946i | ||||
\(617\) | −985.450 | − | 141.686i | −1.59716 | − | 0.229637i | −0.714498 | − | 0.699638i | \(-0.753345\pi\) |
−0.882666 | + | 0.470000i | \(0.844254\pi\) | |||||||
\(618\) | −230.418 | + | 358.537i | −0.372844 | + | 0.580157i | ||||
\(619\) | 50.4021 | − | 43.6736i | 0.0814250 | − | 0.0705552i | −0.613197 | − | 0.789930i | \(-0.710117\pi\) |
0.694622 | + | 0.719375i | \(0.255572\pi\) | |||||||
\(620\) | − | 177.227i | − | 0.285850i | ||||||
\(621\) | −76.3006 | − | 581.018i | −0.122867 | − | 0.935616i | ||||
\(622\) | 67.9633 | 0.109266 | ||||||||
\(623\) | 266.335 | + | 307.367i | 0.427504 | + | 0.493366i | ||||
\(624\) | 97.8114 | + | 62.8596i | 0.156749 | + | 0.100737i | ||||
\(625\) | −36.9117 | + | 256.727i | −0.0590588 | + | 0.410763i | ||||
\(626\) | −511.035 | − | 233.382i | −0.816351 | − | 0.372815i | ||||
\(627\) | −95.5467 | − | 664.542i | −0.152387 | − | 1.05988i | ||||
\(628\) | −75.9145 | + | 258.541i | −0.120883 | + | 0.411689i | ||||
\(629\) | 400.302 | − | 257.258i | 0.636410 | − | 0.408996i | ||||
\(630\) | −11.9318 | − | 26.1270i | −0.0189394 | − | 0.0414715i | ||||
\(631\) | 236.205 | + | 804.440i | 0.374334 | + | 1.27486i | 0.904319 | + | 0.426858i | \(0.140379\pi\) |
−0.529985 | + | 0.848007i | \(0.677802\pi\) | |||||||
\(632\) | −132.103 | − | 114.468i | −0.209024 | − | 0.181120i | ||||
\(633\) | −646.951 | + | 746.622i | −1.02204 | + | 1.17950i | ||||
\(634\) | 264.199 | − | 77.5757i | 0.416717 | − | 0.122359i | ||||
\(635\) | 76.5058 | − | 34.9390i | 0.120482 | − | 0.0550221i | ||||
\(636\) | 342.440 | + | 532.848i | 0.538428 | + | 0.837811i | ||||
\(637\) | −831.679 | − | 244.203i | −1.30562 | − | 0.383364i | ||||
\(638\) | −56.6612 | + | 8.14664i | −0.0888106 | + | 0.0127690i | ||||
\(639\) | −10.7453 | + | 23.5289i | −0.0168158 | + | 0.0368214i | ||||
\(640\) | −119.141 | − | 17.1299i | −0.186158 | − | 0.0267655i | ||||
\(641\) | 182.159 | − | 283.445i | 0.284179 | − | 0.442192i | −0.669590 | − | 0.742731i | \(-0.733530\pi\) |
0.953769 | + | 0.300539i | \(0.0971666\pi\) | |||||||
\(642\) | 167.219 | − | 144.896i | 0.260466 | − | 0.225695i | ||||
\(643\) | − | 661.045i | − | 1.02806i | −0.857771 | − | 0.514032i | \(-0.828151\pi\) | ||
0.857771 | − | 0.514032i | \(-0.171849\pi\) | |||||||
\(644\) | 513.247 | + | 80.2092i | 0.796967 | + | 0.124548i | ||||
\(645\) | −110.365 | −0.171108 | ||||||||
\(646\) | 311.112 | + | 359.043i | 0.481598 | + | 0.555794i | ||||
\(647\) | −327.556 | − | 210.507i | −0.506268 | − | 0.325359i | 0.262451 | − | 0.964945i | \(-0.415469\pi\) |
−0.768719 | + | 0.639587i | \(0.779106\pi\) | |||||||
\(648\) | −104.676 | + | 728.037i | −0.161537 | + | 1.12351i | ||||
\(649\) | 542.173 | + | 247.602i | 0.835397 | + | 0.381513i | ||||
\(650\) | 57.1455 | + | 397.456i | 0.0879161 | + | 0.611470i | ||||
\(651\) | 323.293 | − | 1101.03i | 0.496610 | − | 1.69130i | ||||
\(652\) | 559.384 | − | 359.494i | 0.857951 | − | 0.551372i | ||||
\(653\) | −503.194 | − | 1101.84i | −0.770589 | − | 1.68735i | −0.725352 | − | 0.688378i | \(-0.758323\pi\) |
−0.0452364 | − | 0.998976i | \(-0.514404\pi\) | |||||||
\(654\) | −83.2488 | − | 283.519i | −0.127292 | − | 0.433516i | ||||
\(655\) | 177.417 | + | 153.732i | 0.270865 | + | 0.234706i | ||||
\(656\) | 29.3176 | − | 33.8343i | 0.0446915 | − | 0.0515767i | ||||
\(657\) | −10.0846 | + | 2.96110i | −0.0153494 | + | 0.00450700i | ||||
\(658\) | 917.155 | − | 418.851i | 1.39385 | − | 0.636551i | ||||
\(659\) | 428.607 | + | 666.925i | 0.650390 | + | 1.01203i | 0.997250 | + | 0.0741096i | \(0.0236115\pi\) |
−0.346860 | + | 0.937917i | \(0.612752\pi\) | |||||||
\(660\) | 121.666 | + | 35.7243i | 0.184342 | + | 0.0541278i | ||||
\(661\) | 940.233 | − | 135.185i | 1.42244 | − | 0.204516i | 0.612241 | − | 0.790671i | \(-0.290268\pi\) |
0.810199 | + | 0.586155i | \(0.199359\pi\) | |||||||
\(662\) | 95.7012 | − | 209.556i | 0.144564 | − | 0.316550i | ||||
\(663\) | −625.910 | − | 89.9922i | −0.944057 | − | 0.135735i | ||||
\(664\) | 74.3203 | − | 115.645i | 0.111928 | − | 0.174164i | ||||
\(665\) | 473.699 | − | 410.462i | 0.712329 | − | 0.617236i | ||||
\(666\) | 43.5088i | 0.0653285i | ||||||||
\(667\) | 49.2211 | + | 111.362i | 0.0737948 | + | 0.166960i | ||||
\(668\) | 495.641 | 0.741977 | ||||||||
\(669\) | −325.361 | − | 375.487i | −0.486340 | − | 0.561266i | ||||
\(670\) | −18.1548 | − | 11.6674i | −0.0270968 | − | 0.0174140i | ||||
\(671\) | −32.3517 | + | 225.011i | −0.0482141 | + | 0.335336i | ||||
\(672\) | −886.426 | − | 404.817i | −1.31909 | − | 0.602406i | ||||
\(673\) | 41.2573 | + | 286.951i | 0.0613035 | + | 0.426375i | 0.997242 | + | 0.0742130i | \(0.0236445\pi\) |
−0.935939 | + | 0.352162i | \(0.885446\pi\) | |||||||
\(674\) | 160.128 | − | 545.347i | 0.237579 | − | 0.809121i | ||||
\(675\) | −423.504 | + | 272.169i | −0.627413 | + | 0.403214i | ||||
\(676\) | −53.8030 | − | 117.812i | −0.0795902 | − | 0.174278i | ||||
\(677\) | 25.2455 | + | 85.9784i | 0.0372903 | + | 0.126999i | 0.976035 | − | 0.217615i | \(-0.0698278\pi\) |
−0.938744 | + | 0.344614i | \(0.888010\pi\) | |||||||
\(678\) | −402.235 | − | 348.539i | −0.593267 | − | 0.514069i | ||||
\(679\) | 577.068 | − | 665.972i | 0.849879 | − | 0.980812i | ||||
\(680\) | −243.360 | + | 71.4570i | −0.357883 | + | 0.105084i | ||||
\(681\) | −156.562 | + | 71.4993i | −0.229900 | + | 0.104992i | ||||
\(682\) | −206.676 | − | 321.594i | −0.303044 | − | 0.471545i | ||||
\(683\) | 1190.84 | + | 349.662i | 1.74354 | + | 0.511951i | 0.989457 | − | 0.144824i | \(-0.0462615\pi\) |
0.754087 | + | 0.656774i | \(0.228080\pi\) | |||||||
\(684\) | 52.0114 | − | 7.47811i | 0.0760401 | − | 0.0109329i | ||||
\(685\) | −173.667 | + | 380.277i | −0.253528 | + | 0.555148i | ||||
\(686\) | −115.195 | − | 16.5625i | −0.167922 | − | 0.0241436i | ||||
\(687\) | 295.348 | − | 459.571i | 0.429910 | − | 0.668953i | ||||
\(688\) | 28.3157 | − | 24.5357i | 0.0411566 | − | 0.0356624i | ||||
\(689\) | 1388.29i | 2.01494i | ||||||||
\(690\) | −2.72550 | + | 222.943i | −0.00395000 | + | 0.323106i | ||||
\(691\) | −99.4743 | −0.143957 | −0.0719785 | − | 0.997406i | \(-0.522931\pi\) | ||||
−0.0719785 | + | 0.997406i | \(0.522931\pi\) | |||||||
\(692\) | −101.942 | − | 117.647i | −0.147315 | − | 0.170010i | ||||
\(693\) | 63.0463 | + | 40.5174i | 0.0909760 | + | 0.0584667i | ||||
\(694\) | −30.0957 | + | 209.320i | −0.0433655 | + | 0.301614i | ||||
\(695\) | −312.801 | − | 142.851i | −0.450073 | − | 0.205542i | ||||
\(696\) | −19.7450 | − | 137.329i | −0.0283692 | − | 0.197312i | ||||
\(697\) | −68.5976 | + | 233.622i | −0.0984183 | + | 0.335182i | ||||
\(698\) | −208.234 | + | 133.824i | −0.298329 | + | 0.191725i | ||||
\(699\) | 460.798 | + | 1009.01i | 0.659224 | + | 1.44350i | ||||
\(700\) | −125.728 | − | 428.189i | −0.179611 | − | 0.611699i | ||||
\(701\) | 473.583 | + | 410.362i | 0.675582 | + | 0.585395i | 0.923599 | − | 0.383360i | \(-0.125233\pi\) |
−0.248017 | + | 0.968756i | \(0.579779\pi\) | |||||||
\(702\) | −339.078 | + | 391.316i | −0.483017 | + | 0.557431i | ||||
\(703\) | −911.001 | + | 267.494i | −1.29588 | + | 0.380503i | ||||
\(704\) | −366.828 | + | 167.525i | −0.521063 | + | 0.237962i | ||||
\(705\) | −283.012 | − | 440.375i | −0.401435 | − | 0.624646i | ||||
\(706\) | −293.942 | − | 86.3093i | −0.416349 | − | 0.122251i | ||||
\(707\) | −221.860 | + | 31.8986i | −0.313804 | + | 0.0451182i | ||||
\(708\) | −212.302 | + | 464.877i | −0.299862 | + | 0.656606i | ||||
\(709\) | −375.851 | − | 54.0392i | −0.530114 | − | 0.0762189i | −0.127940 | − | 0.991782i | \(-0.540836\pi\) |
−0.402174 | + | 0.915563i | \(0.631745\pi\) | |||||||
\(710\) | −47.6484 | + | 74.1424i | −0.0671105 | + | 0.104426i | ||||
\(711\) | −14.3404 | + | 12.4260i | −0.0201693 | + | 0.0174768i | ||||
\(712\) | 328.381i | 0.461210i | ||||||||
\(713\) | −539.932 | + | 607.937i | −0.757268 | + | 0.852647i | ||||
\(714\) | −580.978 | −0.813694 | ||||||||
\(715\) | 182.004 | + | 210.044i | 0.254551 | + | 0.293768i | ||||
\(716\) | 49.9957 | + | 32.1303i | 0.0698265 | + | 0.0448747i | ||||
\(717\) | 58.5880 | − | 407.489i | 0.0817127 | − | 0.568324i | ||||
\(718\) | 66.1285 | + | 30.1999i | 0.0921009 | + | 0.0420611i | ||||
\(719\) | 15.7988 | + | 109.883i | 0.0219733 | + | 0.152828i | 0.997854 | − | 0.0654762i | \(-0.0208567\pi\) |
−0.975881 | + | 0.218304i | \(0.929948\pi\) | |||||||
\(720\) | 1.42626 | − | 4.85741i | 0.00198092 | − | 0.00674640i | ||||
\(721\) | 873.377 | − | 561.285i | 1.21134 | − | 0.778481i | ||||
\(722\) | −192.021 | − | 420.467i | −0.265957 | − | 0.582364i | ||||
\(723\) | 49.7355 | + | 169.384i | 0.0687904 | + | 0.234279i | ||||
\(724\) | −344.486 | − | 298.499i | −0.475809 | − | 0.412291i | ||||
\(725\) | 68.4957 | − | 79.0482i | 0.0944768 | − | 0.109032i | ||||
\(726\) | −229.155 | + | 67.2860i | −0.315641 | + | 0.0926805i | ||||
\(727\) | 121.194 | − | 55.3476i | 0.166705 | − | 0.0761315i | −0.330315 | − | 0.943871i | \(-0.607155\pi\) |
0.497020 | + | 0.867739i | \(0.334428\pi\) | |||||||
\(728\) | −701.456 | − | 1091.49i | −0.963539 | − | 1.49930i | ||||
\(729\) | −615.803 | − | 180.816i | −0.844723 | − | 0.248033i | ||||
\(730\) | −35.4468 | + | 5.09648i | −0.0485572 | + | 0.00698148i | ||||
\(731\) | −84.6495 | + | 185.356i | −0.115800 | + | 0.253566i | ||||
\(732\) | −192.932 | − | 27.7394i | −0.263568 | − | 0.0378953i | ||||
\(733\) | −721.336 | + | 1122.42i | −0.984087 | + | 1.53127i | −0.143459 | + | 0.989656i | \(0.545822\pi\) |
−0.840628 | + | 0.541613i | \(0.817814\pi\) | |||||||
\(734\) | 512.369 | − | 443.970i | 0.698050 | − | 0.604864i | ||||
\(735\) | 413.464i | 0.562536i | ||||||||
\(736\) | 445.760 | + | 527.324i | 0.605652 | + | 0.716473i | ||||
\(737\) | 56.3085 | 0.0764023 | ||||||||
\(738\) | −14.5793 | − | 16.8254i | −0.0197551 | − | 0.0227987i | ||||
\(739\) | −316.334 | − | 203.296i | −0.428057 | − | 0.275096i | 0.308822 | − | 0.951120i | \(-0.400065\pi\) |
−0.736880 | + | 0.676024i | \(0.763702\pi\) | |||||||
\(740\) | 25.5205 | − | 177.499i | 0.0344871 | − | 0.239863i | ||||
\(741\) | 1147.72 | + | 524.147i | 1.54888 | + | 0.707351i | ||||
\(742\) | 181.525 | + | 1262.53i | 0.244643 | + | 1.70153i | ||||
\(743\) | 389.916 | − | 1327.93i | 0.524786 | − | 1.78726i | −0.0869720 | − | 0.996211i | \(-0.527719\pi\) |
0.611758 | − | 0.791045i | \(-0.290463\pi\) | |||||||
\(744\) | 779.446 | − | 500.919i | 1.04764 | − | 0.673279i | ||||
\(745\) | 57.2106 | + | 125.274i | 0.0767928 | + | 0.168153i | ||||
\(746\) | −123.776 | − | 421.541i | −0.165919 | − | 0.565069i | ||||
\(747\) | −11.2778 | − | 9.77225i | −0.0150974 | − | 0.0130820i | ||||
\(748\) | 153.316 | − | 176.936i | 0.204968 | − | 0.236546i | ||||
\(749\) | −517.152 | + | 151.849i | −0.690456 | + | 0.202736i | ||||
\(750\) | 394.676 | − | 180.243i | 0.526235 | − | 0.240324i | ||||
\(751\) | 383.108 | + | 596.128i | 0.510131 | + | 0.793779i | 0.996811 | − | 0.0798013i | \(-0.0254286\pi\) |
−0.486680 | + | 0.873580i | \(0.661792\pi\) | |||||||
\(752\) | 170.513 | + | 50.0671i | 0.226746 | + | 0.0665786i | ||||
\(753\) | 613.831 | − | 88.2556i | 0.815181 | − | 0.117205i | ||||
\(754\) | 44.6906 | − | 97.8587i | 0.0592713 | − | 0.129786i | ||||
\(755\) | −183.300 | − | 26.3545i | −0.242781 | − | 0.0349066i | ||||
\(756\) | 311.115 | − | 484.105i | 0.411528 | − | 0.640350i | ||||
\(757\) | −90.7661 | + | 78.6493i | −0.119902 | + | 0.103896i | −0.712748 | − | 0.701420i | \(-0.752550\pi\) |
0.592846 | + | 0.805316i | \(0.298004\pi\) | |||||||
\(758\) | − | 474.794i | − | 0.626378i | ||||||
\(759\) | −308.511 | − | 493.206i | −0.406471 | − | 0.649811i | ||||
\(760\) | 506.085 | 0.665902 | ||||||||
\(761\) | −550.928 | − | 635.804i | −0.723952 | − | 0.835485i | 0.267824 | − | 0.963468i | \(-0.413695\pi\) |
−0.991776 | + | 0.127983i | \(0.959150\pi\) | |||||||
\(762\) | 130.860 | + | 84.0985i | 0.171732 | + | 0.110366i | ||||
\(763\) | −102.437 | + | 712.468i | −0.134256 | + | 0.933772i | ||||
\(764\) | −473.515 | − | 216.247i | −0.619784 | − | 0.283046i | ||||
\(765\) | 3.91836 | + | 27.2528i | 0.00512204 | + | 0.0356246i | ||||
\(766\) | −203.764 | + | 693.955i | −0.266010 | + | 0.905946i | ||||
\(767\) | −942.333 | + | 605.601i | −1.22860 | + | 0.789570i | ||||
\(768\) | −354.866 | − | 777.049i | −0.462065 | − | 1.01178i | ||||
\(769\) | −301.597 | − | 1027.15i | −0.392194 | − | 1.33569i | −0.885016 | − | 0.465560i | \(-0.845853\pi\) |
0.492823 | − | 0.870130i | \(-0.335965\pi\) | |||||||
\(770\) | 192.981 | + | 167.219i | 0.250625 | + | 0.217168i | ||||
\(771\) | 287.276 | − | 331.534i | 0.372602 | − | 0.430006i | ||||
\(772\) | −40.8165 | + | 11.9848i | −0.0528711 | + | 0.0155243i | ||||
\(773\) | −622.782 | + | 284.415i | −0.805669 | + | 0.367937i | −0.775293 | − | 0.631602i | \(-0.782398\pi\) |
−0.0303761 | + | 0.999539i | \(0.509670\pi\) | |||||||
\(774\) | −10.0732 | − | 15.6742i | −0.0130145 | − | 0.0202509i | ||||
\(775\) | 670.206 | + | 196.790i | 0.864782 | + | 0.253923i | ||||
\(776\) | 704.262 | − | 101.258i | 0.907554 | − | 0.130487i | ||||
\(777\) | 482.337 | − | 1056.17i | 0.620768 | − | 1.35929i | ||||
\(778\) | −18.7848 | − | 2.70084i | −0.0241449 | − | 0.00347152i | ||||
\(779\) | 262.661 | − | 408.709i | 0.337178 | − | 0.524659i | ||||
\(780\) | −180.099 | + | 156.056i | −0.230896 | + | 0.200072i | ||||
\(781\) | − | 229.958i | − | 0.294440i | ||||||
\(782\) | 372.340 | + | 175.574i | 0.476139 | + | 0.224520i | ||||
\(783\) | 134.875 | 0.172255 | ||||||||
\(784\) | −91.9191 | − | 106.080i | −0.117244 | − | 0.135307i | ||||
\(785\) | 236.997 | + | 152.309i | 0.301907 | + | 0.194024i | ||||
\(786\) | −61.7900 | + | 429.759i | −0.0786132 | + | 0.546767i | ||||
\(787\) | 155.189 | + | 70.8725i | 0.197191 | + | 0.0900540i | 0.511563 | − | 0.859246i | \(-0.329067\pi\) |
−0.314372 | + | 0.949300i | \(0.601794\pi\) | |||||||
\(788\) | 88.6759 | + | 616.754i | 0.112533 | + | 0.782683i | ||||
\(789\) | −253.758 | + | 864.219i | −0.321619 | + | 1.09533i | ||||
\(790\) | −54.3893 | + | 34.9539i | −0.0688472 | + | 0.0442454i | ||||
\(791\) | 538.582 | + | 1179.33i | 0.680887 | + | 1.49094i | ||||
\(792\) | 17.0479 | + | 58.0596i | 0.0215251 | + | 0.0733076i | ||||
\(793\) | −322.871 | − | 279.770i | −0.407152 | − | 0.352799i | ||||
\(794\) | −129.789 | + | 149.785i | −0.163462 | + | 0.188646i | ||||
\(795\) | 635.399 | − | 186.570i | 0.799244 | − | 0.234679i | ||||
\(796\) | −458.520 | + | 209.399i | −0.576030 | + | 0.263064i | ||||
\(797\) | 165.608 | + | 257.691i | 0.207789 | + | 0.323327i | 0.929469 | − | 0.368901i | \(-0.120266\pi\) |
−0.721679 | + | 0.692228i | \(0.756629\pi\) | |||||||
\(798\) | 1112.29 | + | 326.597i | 1.39384 | + | 0.409270i | ||||
\(799\) | −956.675 | + | 137.549i | −1.19734 | + | 0.172152i | ||||
\(800\) | 246.414 | − | 539.572i | 0.308018 | − | 0.674465i | ||||
\(801\) | 35.2844 | + | 5.07313i | 0.0440504 | + | 0.00633349i | ||||
\(802\) | 241.404 | − | 375.632i | 0.301002 | − | 0.468369i | ||||
\(803\) | 70.6166 | − | 61.1896i | 0.0879409 | − | 0.0762012i | ||||
\(804\) | 48.2808i | 0.0600507i | ||||||||
\(805\) | 231.642 | − | 491.243i | 0.287754 | − | 0.610240i | ||||
\(806\) | 718.433 | 0.891356 | ||||||||
\(807\) | 951.571 | + | 1098.17i | 1.17915 | + | 1.36081i | ||||
\(808\) | −152.247 | − | 97.8430i | −0.188424 | − | 0.121093i | ||||
\(809\) | −44.2504 | + | 307.768i | −0.0546976 | + | 0.380430i | 0.944024 | + | 0.329877i | \(0.107007\pi\) |
−0.998721 | + | 0.0505528i | \(0.983902\pi\) | |||||||
\(810\) | 247.465 | + | 113.013i | 0.305512 | + | 0.139523i | ||||
\(811\) | −196.465 | − | 1366.44i | −0.242250 | − | 1.68489i | −0.640773 | − | 0.767730i | \(-0.721386\pi\) |
0.398523 | − | 0.917158i | \(-0.369523\pi\) | |||||||
\(812\) | −33.6847 | + | 114.720i | −0.0414837 | + | 0.141280i | ||||
\(813\) | −311.228 | + | 200.014i | −0.382814 | + | 0.246020i | ||||
\(814\) | −160.684 | − | 351.848i | −0.197400 | − | 0.432246i | ||||
\(815\) | −195.861 | − | 667.043i | −0.240321 | − | 0.818457i | ||||
\(816\) | −77.3883 | − | 67.0574i | −0.0948387 | − | 0.0821782i | ||||
\(817\) | 266.261 | − | 307.281i | 0.325900 | − | 0.376109i | ||||
\(818\) | −949.529 | + | 278.807i | −1.16079 | + | 0.340840i | ||||
\(819\) | −128.116 | + | 58.5087i | −0.156430 | + | 0.0714392i | ||||
\(820\) | 49.6087 | + | 77.1927i | 0.0604984 | + | 0.0941374i | ||||
\(821\) | −1195.09 | − | 350.909i | −1.45565 | − | 0.427416i | −0.544242 | − | 0.838928i | \(-0.683183\pi\) |
−0.911404 | + | 0.411512i | \(0.865001\pi\) | |||||||
\(822\) | −765.318 | + | 110.036i | −0.931044 | + | 0.133864i | ||||
\(823\) | 177.663 | − | 389.027i | 0.215872 | − | 0.472694i | −0.770455 | − | 0.637495i | \(-0.779971\pi\) |
0.986327 | + | 0.164801i | \(0.0526981\pi\) | |||||||
\(824\) | 829.719 | + | 119.296i | 1.00694 | + | 0.144776i | ||||
\(825\) | −270.192 | + | 420.427i | −0.327506 | + | 0.509609i | ||||
\(826\) | −777.786 | + | 673.955i | −0.941629 | + | 0.815926i | ||||
\(827\) | − | 614.807i | − | 0.743419i | −0.928349 | − | 0.371709i | \(-0.878772\pi\) | ||
0.928349 | − | 0.371709i | \(-0.121228\pi\) | |||||||
\(828\) | 38.6016 | − | 24.1461i | 0.0466203 | − | 0.0291620i | ||||
\(829\) | 517.712 | 0.624502 | 0.312251 | − | 0.950000i | \(-0.398917\pi\) | ||||
0.312251 | + | 0.950000i | \(0.398917\pi\) | |||||||
\(830\) | −33.2965 | − | 38.4262i | −0.0401162 | − | 0.0462966i | ||||
\(831\) | −853.741 | − | 548.666i | −1.02737 | − | 0.660248i | ||||
\(832\) | 107.858 | − | 750.170i | 0.129637 | − | 0.901646i | ||||
\(833\) | 694.408 | + | 317.126i | 0.833623 | + | 0.380703i | ||||
\(834\) | −90.5115 | − | 629.521i | −0.108527 | − | 0.754822i | ||||
\(835\) | 145.993 | − | 497.207i | 0.174842 | − | 0.595458i | ||||
\(836\) | −392.990 | + | 252.559i | −0.470084 | + | 0.302104i | ||||
\(837\) | 374.168 | + | 819.315i | 0.447035 | + | 0.978870i | ||||
\(838\) | 108.050 | + | 367.986i | 0.128939 | + | 0.439124i | ||||
\(839\) | 960.771 | + | 832.513i | 1.14514 | + | 0.992268i | 0.999996 | + | 0.00285681i | \(0.000909352\pi\) |
0.145142 | + | 0.989411i | \(0.453636\pi\) | |||||||
\(840\) | −405.288 | + | 467.728i | −0.482486 | + | 0.556818i | ||||
\(841\) | 780.046 | − | 229.042i | 0.927522 | − | 0.272345i | ||||
\(842\) | −718.591 | + | 328.169i | −0.853433 | + | 0.389750i | ||||
\(843\) | −807.531 | − | 1256.54i | −0.957925 | − | 1.49056i | ||||
\(844\) | 659.559 | + | 193.664i | 0.781468 | + | 0.229460i | ||||
\(845\) | −134.032 | + | 19.2709i | −0.158618 | + | 0.0228058i | ||||
\(846\) | 36.7118 | − | 80.3876i | 0.0433946 | − | 0.0950208i | ||||
\(847\) | 575.854 | + | 82.7953i | 0.679875 | + | 0.0977512i | ||||
\(848\) | −121.544 | + | 189.126i | −0.143330 | + | 0.223026i | ||||
\(849\) | −578.681 | + | 501.430i | −0.681603 | + | 0.590612i | ||||
\(850\) | − | 353.644i | − | 0.416052i | ||||||
\(851\) | −628.303 | + | 531.120i | −0.738311 | + | 0.624113i | ||||
\(852\) | 197.173 | 0.231424 | ||||||||
\(853\) | −120.587 | − | 139.165i | −0.141368 | − | 0.163147i | 0.680650 | − | 0.732608i | \(-0.261697\pi\) |
−0.822018 | + | 0.569461i | \(0.807152\pi\) | |||||||
\(854\) | −330.205 | − | 212.210i | −0.386656 | − | 0.248489i | ||||
\(855\) | 7.81845 | − | 54.3785i | 0.00914439 | − | 0.0636006i | ||||
\(856\) | −395.860 | − | 180.783i | −0.462453 | − | 0.211195i | ||||
\(857\) | −142.527 | − | 991.300i | −0.166310 | − | 1.15671i | −0.886431 | − | 0.462861i | \(-0.846823\pi\) |
0.720121 | − | 0.693849i | \(-0.244086\pi\) | |||||||
\(858\) | −144.817 | + | 493.202i | −0.168785 | + | 0.574828i | ||||
\(859\) | −1050.84 | + | 675.333i | −1.22333 | + | 0.786185i | −0.982839 | − | 0.184467i | \(-0.940944\pi\) |
−0.240489 | + | 0.970652i | \(0.577308\pi\) | |||||||
\(860\) | 31.9008 | + | 69.8531i | 0.0370940 | + | 0.0812245i | ||||
\(861\) | 167.385 | + | 570.060i | 0.194407 | + | 0.662091i | ||||
\(862\) | 656.009 | + | 568.435i | 0.761031 | + | 0.659437i | ||||
\(863\) | −243.431 | + | 280.935i | −0.282076 | + | 0.325533i | −0.879052 | − | 0.476726i | \(-0.841823\pi\) |
0.596976 | + | 0.802259i | \(0.296369\pi\) | |||||||
\(864\) | 733.912 | − | 215.496i | 0.849435 | − | 0.249417i | ||||
\(865\) | −148.046 | + | 67.6105i | −0.171152 | + | 0.0781625i | ||||
\(866\) | 63.4058 | + | 98.6613i | 0.0732168 | + | 0.113928i | ||||
\(867\) | −338.305 | − | 99.3352i | −0.390201 | − | 0.114573i | ||||
\(868\) | −790.324 | + | 113.631i | −0.910512 | + | 0.130912i | ||||
\(869\) | 70.0773 | − | 153.448i | 0.0806413 | − | 0.176580i | ||||
\(870\) | −50.7942 | − | 7.30310i | −0.0583841 | − | 0.00839437i | ||||
\(871\) | −57.2122 | + | 89.0238i | −0.0656856 | + | 0.102209i | ||||
\(872\) | −439.224 | + | 380.590i | −0.503697 | + | 0.436456i | ||||
\(873\) | − | 77.2368i | − | 0.0884728i | ||||||
\(874\) | −614.150 | − | 545.450i | −0.702689 | − | 0.624085i | ||||
\(875\) | −1056.92 | −1.20791 | ||||||||
\(876\) | 52.4660 | + | 60.5489i | 0.0598926 | + | 0.0691198i | ||||
\(877\) | 195.815 | + | 125.842i | 0.223278 | + | 0.143492i | 0.647498 | − | 0.762067i | \(-0.275815\pi\) |
−0.424220 | + | 0.905559i | \(0.639452\pi\) | |||||||
\(878\) | 48.5389 | − | 337.595i | 0.0552835 | − | 0.384505i | ||||
\(879\) | −659.684 | − | 301.268i | −0.750494 | − | 0.342739i | ||||
\(880\) | 6.40509 | + | 44.5484i | 0.00727851 | + | 0.0506232i | ||||
\(881\) | −107.057 | + | 364.604i | −0.121518 | + | 0.413853i | −0.997673 | − | 0.0681764i | \(-0.978282\pi\) |
0.876155 | + | 0.482029i | \(0.160100\pi\) | |||||||
\(882\) | −58.7208 | + | 37.7376i | −0.0665769 | + | 0.0427864i | ||||
\(883\) | 65.8746 | + | 144.245i | 0.0746031 | + | 0.163358i | 0.943259 | − | 0.332058i | \(-0.107743\pi\) |
−0.868656 | + | 0.495416i | \(0.835016\pi\) | |||||||
\(884\) | 123.960 | + | 422.168i | 0.140226 | + | 0.477566i | ||||
\(885\) | 403.812 | + | 349.905i | 0.456284 | + | 0.395373i | ||||
\(886\) | 623.102 | − | 719.098i | 0.703275 | − | 0.811623i | ||||
\(887\) | 937.152 | − | 275.173i | 1.05654 | − | 0.310229i | 0.293084 | − | 0.956087i | \(-0.405318\pi\) |
0.763457 | + | 0.645858i | \(0.223500\pi\) | |||||||
\(888\) | 852.773 | − | 389.448i | 0.960330 | − | 0.438568i | ||||
\(889\) | −204.859 | − | 318.767i | −0.230438 | − | 0.358569i | ||||
\(890\) | 116.539 | + | 34.2189i | 0.130943 | + | 0.0384482i | ||||
\(891\) | −702.608 | + | 101.020i | −0.788561 | + | 0.113378i | ||||
\(892\) | −143.611 | + | 314.465i | −0.160999 | + | 0.352539i | ||||
\(893\) | 1908.89 | + | 274.457i | 2.13761 | + | 0.307342i | ||||
\(894\) | −137.706 | + | 214.275i | −0.154034 | + | 0.239682i | ||||
\(895\) | 46.9583 | − | 40.6896i | 0.0524674 | − | 0.0454633i | ||||
\(896\) | 542.281i | 0.605224i | ||||||||
\(897\) | 1093.22 | + | 13.3647i | 1.21875 | + | 0.0148994i | ||||
\(898\) | −552.283 | −0.615015 | ||||||||
\(899\) | −122.551 | − | 141.432i | −0.136319 | − | 0.157321i | ||||
\(900\) | −32.9054 | − | 21.1470i | −0.0365616 | − | 0.0234967i | ||||
\(901\) | 174.007 | − | 1210.24i | 0.193126 | − | 1.34322i | ||||
\(902\) | 180.039 | + | 82.2209i | 0.199599 | + | 0.0911540i | ||||
\(903\) | 70.7619 | + | 492.160i | 0.0783631 | + | 0.545027i | ||||
\(904\) | −294.921 | + | 1004.41i | −0.326240 | + | 1.11107i | ||||
\(905\) | −400.912 | + | 257.651i | −0.442997 | + | 0.284697i | ||||
\(906\) | −142.278 | − | 311.545i | −0.157040 | − | 0.343869i | ||||
\(907\) | −265.774 | − | 905.144i | −0.293026 | − | 0.997954i | −0.966055 | − | 0.258338i | \(-0.916825\pi\) |
0.673029 | − | 0.739616i | \(-0.264993\pi\) | |||||||
\(908\) | 90.5079 | + | 78.4256i | 0.0996783 | + | 0.0863718i | ||||
\(909\) | −12.8652 | + | 14.8472i | −0.0141531 | + | 0.0163336i | ||||
\(910\) | −460.452 | + | 135.201i | −0.505991 | + | 0.148572i | ||||
\(911\) | 250.275 | − | 114.297i | 0.274725 | − | 0.125463i | −0.273288 | − | 0.961932i | \(-0.588111\pi\) |
0.548014 | + | 0.836469i | \(0.315384\pi\) | |||||||
\(912\) | 110.464 | + | 171.886i | 0.121123 | + | 0.188471i | ||||
\(913\) | 127.292 | + | 37.3762i | 0.139421 | + | 0.0409378i | ||||
\(914\) | 1029.66 | − | 148.043i | 1.12654 | − | 0.161973i | ||||
\(915\) | −84.6559 | + | 185.371i | −0.0925201 | + | 0.202591i | ||||
\(916\) | −376.246 | − | 54.0959i | −0.410748 | − | 0.0590567i | ||||
\(917\) | 571.800 | − | 889.738i | 0.623555 | − | 0.970271i | ||||
\(918\) | 344.638 | − | 298.630i | 0.375422 | − | 0.325305i | ||||
\(919\) | 412.424i | 0.448775i | 0.974500 | + | 0.224388i | \(0.0720382\pi\) | ||||
−0.974500 | + | 0.224388i | \(0.927962\pi\) | |||||||
\(920\) | 401.093 | − | 177.280i | 0.435971 | − | 0.192696i | ||||
\(921\) | 115.902 | 0.125843 | ||||||||
\(922\) | −333.368 | − | 384.727i | −0.361570 | − | 0.417274i | ||||
\(923\) | 363.564 | + | 233.648i | 0.393894 | + | 0.253140i | ||||
\(924\) | 81.3010 | − | 565.461i | 0.0879881 | − | 0.611971i | ||||
\(925\) | 642.896 | + | 293.601i | 0.695023 | + | 0.317406i | ||||
\(926\) | 22.0973 | + | 153.690i | 0.0238631 | + | 0.165972i | ||||
\(927\) | 25.6365 | − | 87.3098i | 0.0276553 | − | 0.0941853i | ||||
\(928\) | −133.694 | + | 85.9201i | −0.144067 | + | 0.0925863i | ||||
\(929\) | −135.394 | − | 296.471i | −0.145741 | − | 0.319129i | 0.822657 | − | 0.568538i | \(-0.192491\pi\) |
−0.968398 | + | 0.249409i | \(0.919764\pi\) | |||||||
\(930\) | −96.5487 | − | 328.815i | −0.103816 | − | 0.353564i | ||||
\(931\) | −1151.18 | − | 997.502i | −1.23650 | − | 1.07143i | ||||
\(932\) | 505.436 | − | 583.304i | 0.542313 | − | 0.625863i | ||||
\(933\) | −152.529 | + | 44.7867i | −0.163483 | + | 0.0480029i | ||||
\(934\) | 7.71057 | − | 3.52130i | 0.00825543 | − | 0.00377013i | ||||
\(935\) | −132.335 | − | 205.918i | −0.141535 | − | 0.220233i | ||||
\(936\) | −109.114 | − | 32.0387i | −0.116575 | − | 0.0342294i | ||||
\(937\) | 1031.01 | − | 148.237i | 1.10033 | − | 0.158204i | 0.431860 | − | 0.901941i | \(-0.357857\pi\) |
0.668473 | + | 0.743736i | \(0.266948\pi\) | |||||||
\(938\) | −40.3893 | + | 88.4402i | −0.0430589 | + | 0.0942859i | ||||
\(939\) | 1300.71 | + | 187.013i | 1.38520 | + | 0.199162i | ||||
\(940\) | −196.922 | + | 306.416i | −0.209491 | + | 0.325975i | ||||
\(941\) | −873.960 | + | 757.291i | −0.928757 | + | 0.804772i | −0.981029 | − | 0.193860i | \(-0.937899\pi\) |
0.0522722 | + | 0.998633i | \(0.483354\pi\) | |||||||
\(942\) | 521.035i | 0.553116i | ||||||||
\(943\) | 65.0004 | − | 415.928i | 0.0689294 | − | 0.441069i | ||||
\(944\) | −181.393 | −0.192153 | ||||||||
\(945\) | −393.994 | − | 454.694i | −0.416925 | − | 0.481157i | ||||
\(946\) | 139.347 | + | 89.5529i | 0.147301 | + | 0.0946648i | ||||
\(947\) | 13.9968 | − | 97.3500i | 0.0147802 | − | 0.102798i | −0.981096 | − | 0.193522i | \(-0.938009\pi\) |
0.995876 | + | 0.0907237i | \(0.0289180\pi\) | |||||||
\(948\) | 131.571 | + | 60.0865i | 0.138788 | + | 0.0633824i | ||||
\(949\) | 24.9910 | + | 173.816i | 0.0263341 | + | 0.183157i | ||||
\(950\) | −198.801 | + | 677.056i | −0.209265 | + | 0.712690i | ||||
\(951\) | −541.817 | + | 348.205i | −0.569734 | + | 0.366146i | ||||
\(952\) | 474.688 | + | 1039.42i | 0.498622 | + | 1.09183i | ||||
\(953\) | −189.567 | − | 645.605i | −0.198916 | − | 0.677445i | −0.997174 | − | 0.0751296i | \(-0.976063\pi\) |
0.798258 | − | 0.602316i | \(-0.205755\pi\) | |||||||
\(954\) | 84.4909 | + | 73.2118i | 0.0885649 | + | 0.0767420i | ||||
\(955\) | −356.407 | + | 411.315i | −0.373201 | + | 0.430697i | ||||
\(956\) | −274.846 | + | 80.7021i | −0.287496 | + | 0.0844164i | ||||
\(957\) | 121.796 | − | 55.6222i | 0.127268 | − | 0.0581214i | ||||
\(958\) | −129.771 | − | 201.927i | −0.135460 | − | 0.210780i | ||||
\(959\) | 1807.15 | + | 530.627i | 1.88441 | + | 0.553313i | ||||
\(960\) | −357.835 | + | 51.4489i | −0.372745 | + | 0.0535926i | ||||
\(961\) | 119.948 | − | 262.650i | 0.124816 | − | 0.273309i | ||||
\(962\) | 719.535 | + | 103.453i | 0.747957 | + | 0.107540i | ||||
\(963\) | −25.5406 | + | 39.7420i | −0.0265219 | + | 0.0412689i | ||||
\(964\) | 92.8317 | − | 80.4391i | 0.0962985 | − | 0.0834431i | ||||
\(965\) | 44.4756i | 0.0460888i | ||||||||
\(966\) | 995.939 | − | 130.789i | 1.03099 | − | 0.135392i | ||||
\(967\) | −441.665 | −0.456738 | −0.228369 | − | 0.973575i | \(-0.573339\pi\) | ||||
−0.228369 | + | 0.973575i | \(0.573339\pi\) | |||||||
\(968\) | 307.613 | + | 355.004i | 0.317782 | + | 0.366739i | ||||
\(969\) | −934.830 | − | 600.779i | −0.964737 | − | 0.619999i | ||||
\(970\) | 37.4523 | − | 260.486i | 0.0386106 | − | 0.268543i | ||||
\(971\) | −801.065 | − | 365.834i | −0.824989 | − | 0.376760i | −0.0422481 | − | 0.999107i | \(-0.513452\pi\) |
−0.782741 | + | 0.622347i | \(0.786179\pi\) | |||||||
\(972\) | −15.1577 | − | 105.424i | −0.0155944 | − | 0.108461i | ||||
\(973\) | −436.474 | + | 1486.49i | −0.448586 | + | 1.52774i | ||||
\(974\) | 165.434 | − | 106.318i | 0.169850 | − | 0.109156i | ||||
\(975\) | −390.168 | − | 854.348i | −0.400172 | − | 0.876254i | ||||
\(976\) | −19.4909 | − | 66.3798i | −0.0199702 | − | 0.0680121i | ||||
\(977\) | −1045.41 | − | 905.852i | −1.07002 | − | 0.927177i | −0.0724862 | − | 0.997369i | \(-0.523093\pi\) |
−0.997533 | + | 0.0701920i | \(0.977639\pi\) | |||||||
\(978\) | 841.999 | − | 971.719i | 0.860940 | − | 0.993578i | ||||
\(979\) | −304.074 | + | 89.2843i | −0.310597 | + | 0.0911995i | ||||
\(980\) | 261.693 | − | 119.511i | 0.267034 | − | 0.121950i | ||||
\(981\) | 34.1086 | + | 53.0740i | 0.0347692 | + | 0.0541019i | ||||
\(982\) | −413.811 | − | 121.506i | −0.421396 | − | 0.123733i | ||||
\(983\) | 585.631 | − | 84.2010i | 0.595759 | − | 0.0856572i | 0.162162 | − | 0.986764i | \(-0.448153\pi\) |
0.433597 | + | 0.901107i | \(0.357244\pi\) | |||||||
\(984\) | −199.279 | + | 436.359i | −0.202519 | + | 0.443454i | ||||
\(985\) | 644.824 | + | 92.7116i | 0.654643 | + | 0.0941235i | ||||
\(986\) | −51.2245 | + | 79.7069i | −0.0519518 | + | 0.0808386i | ||||
\(987\) | −1782.35 | + | 1544.41i | −1.80582 | + | 1.56476i | ||||
\(988\) | − | 877.930i | − | 0.888593i | ||||||
\(989\) | 103.383 | − | 336.803i | 0.104533 | − | 0.340549i | ||||
\(990\) | 22.3812 | 0.0226073 | ||||||||
\(991\) | −1200.52 | − | 1385.48i | −1.21143 | − | 1.39806i | −0.892967 | − | 0.450123i | \(-0.851380\pi\) |
−0.318459 | − | 0.947937i | \(-0.603165\pi\) | |||||||
\(992\) | −892.823 | − | 573.782i | −0.900023 | − | 0.578410i | ||||
\(993\) | −76.6872 | + | 533.371i | −0.0772278 | + | 0.537131i | ||||
\(994\) | 361.180 | + | 164.946i | 0.363360 | + | 0.165941i | ||||
\(995\) | 75.0018 | + | 521.649i | 0.0753787 | + | 0.524270i | ||||
\(996\) | −32.0476 | + | 109.144i | −0.0321763 | + | 0.109582i | ||||
\(997\) | −179.201 | + | 115.166i | −0.179740 | + | 0.115512i | −0.627417 | − | 0.778683i | \(-0.715888\pi\) |
0.447677 | + | 0.894195i | \(0.352252\pi\) | |||||||
\(998\) | 231.621 | + | 507.180i | 0.232086 | + | 0.508196i | ||||
\(999\) | 256.762 | + | 874.451i | 0.257019 | + | 0.875326i |
(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 | 23.3.d.a.10.2 | yes | 30 | |
3.2 | odd | 2 | 207.3.j.a.10.2 | 30 | |||
4.3 | odd | 2 | 368.3.p.a.33.1 | 30 | |||
23.4 | even | 11 | 529.3.b.b.528.18 | 30 | |||
23.7 | odd | 22 | inner | 23.3.d.a.7.2 | ✓ | 30 | |
23.19 | odd | 22 | 529.3.b.b.528.17 | 30 | |||
69.53 | even | 22 | 207.3.j.a.145.2 | 30 | |||
92.7 | even | 22 | 368.3.p.a.145.1 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.3.d.a.7.2 | ✓ | 30 | 23.7 | odd | 22 | inner | |
23.3.d.a.10.2 | yes | 30 | 1.1 | even | 1 | trivial | |
207.3.j.a.10.2 | 30 | 3.2 | odd | 2 | |||
207.3.j.a.145.2 | 30 | 69.53 | even | 22 | |||
368.3.p.a.33.1 | 30 | 4.3 | odd | 2 | |||
368.3.p.a.145.1 | 30 | 92.7 | even | 22 | |||
529.3.b.b.528.17 | 30 | 23.19 | odd | 22 | |||
529.3.b.b.528.18 | 30 | 23.4 | even | 11 |