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 | 21.1 | ||
Character | \(\chi\) | \(=\) | 23.21 |
Dual form | 23.3.d.a.11.1 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.94274 | − | 1.24852i | −0.971369 | − | 0.624261i | −0.0442473 | − | 0.999021i | \(-0.514089\pi\) |
−0.927122 | + | 0.374759i | \(0.877725\pi\) | |||||||
\(3\) | −0.365090 | − | 2.53926i | −0.121697 | − | 0.846420i | −0.955633 | − | 0.294559i | \(-0.904827\pi\) |
0.833936 | − | 0.551861i | \(-0.186082\pi\) | |||||||
\(4\) | 0.553766 | + | 1.21258i | 0.138441 | + | 0.303144i | ||||
\(5\) | 0.682875 | − | 2.32566i | 0.136575 | − | 0.465132i | −0.862594 | − | 0.505897i | \(-0.831161\pi\) |
0.999169 | + | 0.0407654i | \(0.0129796\pi\) | |||||||
\(6\) | −2.46105 | + | 5.38894i | −0.410175 | + | 0.898157i | ||||
\(7\) | 6.72814 | + | 5.82996i | 0.961162 | + | 0.832852i | 0.985984 | − | 0.166840i | \(-0.0533564\pi\) |
−0.0248217 | + | 0.999692i | \(0.507902\pi\) | |||||||
\(8\) | −0.876504 | + | 6.09622i | −0.109563 | + | 0.762027i | ||||
\(9\) | 2.32089 | − | 0.681474i | 0.257876 | − | 0.0757193i | ||||
\(10\) | −4.23029 | + | 3.66556i | −0.423029 | + | 0.366556i | ||||
\(11\) | −7.88967 | − | 12.2766i | −0.717243 | − | 1.11605i | −0.988157 | − | 0.153448i | \(-0.950962\pi\) |
0.270914 | − | 0.962604i | \(-0.412674\pi\) | |||||||
\(12\) | 2.87688 | − | 1.84886i | 0.239740 | − | 0.154071i | ||||
\(13\) | 6.60766 | + | 7.62565i | 0.508281 | + | 0.586588i | 0.950658 | − | 0.310241i | \(-0.100410\pi\) |
−0.442376 | + | 0.896830i | \(0.645864\pi\) | |||||||
\(14\) | −5.79217 | − | 19.7263i | −0.413726 | − | 1.40902i | ||||
\(15\) | −6.15477 | − | 0.884922i | −0.410318 | − | 0.0589948i | ||||
\(16\) | 12.8059 | − | 14.7788i | 0.800369 | − | 0.923676i | ||||
\(17\) | 8.06496 | + | 3.68314i | 0.474409 | + | 0.216656i | 0.638247 | − | 0.769832i | \(-0.279660\pi\) |
−0.163837 | + | 0.986487i | \(0.552387\pi\) | |||||||
\(18\) | −5.35971 | − | 1.57375i | −0.297762 | − | 0.0874307i | ||||
\(19\) | −25.9309 | + | 11.8422i | −1.36478 | + | 0.623276i | −0.957076 | − | 0.289836i | \(-0.906399\pi\) |
−0.407708 | + | 0.913112i | \(0.633672\pi\) | |||||||
\(20\) | 3.19820 | − | 0.459831i | 0.159910 | − | 0.0229916i | ||||
\(21\) | 12.3474 | − | 19.2129i | 0.587972 | − | 0.914902i | ||||
\(22\) | 33.7006i | 1.53184i | ||||||||
\(23\) | −0.249912 | + | 22.9986i | −0.0108658 | + | 0.999941i | ||||
\(24\) | 15.7999 | 0.658329 | ||||||||
\(25\) | 16.0890 | + | 10.3397i | 0.643559 | + | 0.413590i | ||||
\(26\) | −3.31617 | − | 23.0644i | −0.127545 | − | 0.887094i | ||||
\(27\) | −12.1690 | − | 26.6464i | −0.450704 | − | 0.986905i | ||||
\(28\) | −3.34347 | + | 11.3868i | −0.119410 | + | 0.406672i | ||||
\(29\) | −15.6008 | + | 34.1610i | −0.537959 | + | 1.17797i | 0.424223 | + | 0.905558i | \(0.360547\pi\) |
−0.962182 | + | 0.272408i | \(0.912180\pi\) | |||||||
\(30\) | 10.8523 | + | 9.40353i | 0.361742 | + | 0.313451i | ||||
\(31\) | 4.24493 | − | 29.5242i | 0.136933 | − | 0.952392i | −0.799280 | − | 0.600959i | \(-0.794785\pi\) |
0.936213 | − | 0.351433i | \(-0.114305\pi\) | |||||||
\(32\) | −19.6925 | + | 5.78224i | −0.615391 | + | 0.180695i | ||||
\(33\) | −28.2929 | + | 24.5160i | −0.857362 | + | 0.742908i | ||||
\(34\) | −11.0696 | − | 17.2247i | −0.325577 | − | 0.506608i | ||||
\(35\) | 18.1530 | − | 11.6662i | 0.518657 | − | 0.333320i | ||||
\(36\) | 2.11157 | + | 2.43688i | 0.0586546 | + | 0.0676911i | ||||
\(37\) | −7.89508 | − | 26.8882i | −0.213381 | − | 0.726708i | −0.994722 | − | 0.102604i | \(-0.967283\pi\) |
0.781342 | − | 0.624104i | \(-0.214536\pi\) | |||||||
\(38\) | 65.1623 | + | 9.36892i | 1.71480 | + | 0.246551i | ||||
\(39\) | 16.9511 | − | 19.5626i | 0.434644 | − | 0.501606i | ||||
\(40\) | 13.5792 | + | 6.20141i | 0.339480 | + | 0.155035i | ||||
\(41\) | 16.5798 | + | 4.86826i | 0.404385 | + | 0.118738i | 0.477599 | − | 0.878578i | \(-0.341507\pi\) |
−0.0732137 | + | 0.997316i | \(0.523326\pi\) | |||||||
\(42\) | −47.9756 | + | 21.9097i | −1.14228 | + | 0.521660i | ||||
\(43\) | −38.7355 | + | 5.56933i | −0.900827 | + | 0.129519i | −0.577140 | − | 0.816645i | \(-0.695831\pi\) |
−0.323686 | + | 0.946164i | \(0.604922\pi\) | |||||||
\(44\) | 10.5173 | − | 16.3652i | 0.239029 | − | 0.371936i | ||||
\(45\) | − | 5.86295i | − | 0.130288i | ||||||
\(46\) | 29.1998 | − | 44.3683i | 0.634779 | − | 0.964529i | ||||
\(47\) | 3.32799 | 0.0708083 | 0.0354042 | − | 0.999373i | \(-0.488728\pi\) | ||||
0.0354042 | + | 0.999373i | \(0.488728\pi\) | |||||||
\(48\) | −42.2026 | − | 27.1219i | −0.879220 | − | 0.565040i | ||||
\(49\) | 4.30592 | + | 29.9483i | 0.0878759 | + | 0.611190i | ||||
\(50\) | −18.3472 | − | 40.1749i | −0.366945 | − | 0.803497i | ||||
\(51\) | 6.40802 | − | 21.8237i | 0.125647 | − | 0.427916i | ||||
\(52\) | −5.58759 | + | 12.2351i | −0.107454 | + | 0.235291i | ||||
\(53\) | 0.249675 | + | 0.216345i | 0.00471085 | + | 0.00408197i | 0.657213 | − | 0.753705i | \(-0.271735\pi\) |
−0.652502 | + | 0.757787i | \(0.726281\pi\) | |||||||
\(54\) | −9.62744 | + | 66.9603i | −0.178286 | + | 1.24001i | ||||
\(55\) | −33.9388 | + | 9.96532i | −0.617069 | + | 0.181188i | ||||
\(56\) | −41.4380 | + | 35.9062i | −0.739964 | + | 0.641182i | ||||
\(57\) | 39.5377 | + | 61.5218i | 0.693643 | + | 1.07933i | ||||
\(58\) | 72.9590 | − | 46.8879i | 1.25791 | − | 0.808413i | ||||
\(59\) | 30.0250 | + | 34.6507i | 0.508898 | + | 0.587299i | 0.950816 | − | 0.309756i | \(-0.100247\pi\) |
−0.441918 | + | 0.897055i | \(0.645702\pi\) | |||||||
\(60\) | −2.33526 | − | 7.95317i | −0.0389210 | − | 0.132553i | ||||
\(61\) | 20.9446 | + | 3.01138i | 0.343354 | + | 0.0493669i | 0.311835 | − | 0.950136i | \(-0.399056\pi\) |
0.0315193 | + | 0.999503i | \(0.489965\pi\) | |||||||
\(62\) | −45.1084 | + | 52.0578i | −0.727554 | + | 0.839642i | ||||
\(63\) | 19.5882 | + | 8.94563i | 0.310924 | + | 0.141994i | ||||
\(64\) | −29.5755 | − | 8.68416i | −0.462118 | − | 0.135690i | ||||
\(65\) | 22.2469 | − | 10.1598i | 0.342259 | − | 0.156305i | ||||
\(66\) | 85.5746 | − | 12.3038i | 1.29658 | − | 0.186421i | ||||
\(67\) | −20.9207 | + | 32.5532i | −0.312249 | + | 0.485869i | −0.961538 | − | 0.274673i | \(-0.911430\pi\) |
0.649289 | + | 0.760542i | \(0.275067\pi\) | |||||||
\(68\) | 11.8190i | 0.173809i | ||||||||
\(69\) | 58.4908 | − | 7.76199i | 0.847692 | − | 0.112493i | ||||
\(70\) | −49.8320 | −0.711886 | ||||||||
\(71\) | −83.9007 | − | 53.9197i | −1.18170 | − | 0.759432i | −0.206002 | − | 0.978552i | \(-0.566045\pi\) |
−0.975698 | + | 0.219119i | \(0.929682\pi\) | |||||||
\(72\) | 2.12015 | + | 14.7459i | 0.0294465 | + | 0.204805i | ||||
\(73\) | −41.3614 | − | 90.5689i | −0.566595 | − | 1.24067i | −0.948591 | − | 0.316506i | \(-0.897490\pi\) |
0.381996 | − | 0.924164i | \(-0.375237\pi\) | |||||||
\(74\) | −18.2324 | + | 62.0939i | −0.246384 | + | 0.839107i | ||||
\(75\) | 20.3814 | − | 44.6290i | 0.271752 | − | 0.595053i | ||||
\(76\) | −28.7193 | − | 24.8854i | −0.377885 | − | 0.327439i | ||||
\(77\) | 18.4892 | − | 128.595i | 0.240119 | − | 1.67006i | ||||
\(78\) | −57.3559 | + | 16.8412i | −0.735332 | + | 0.215913i | ||||
\(79\) | 54.3218 | − | 47.0701i | 0.687617 | − | 0.595824i | −0.239365 | − | 0.970930i | \(-0.576939\pi\) |
0.926982 | + | 0.375106i | \(0.122394\pi\) | |||||||
\(80\) | −25.6256 | − | 39.8743i | −0.320320 | − | 0.498428i | ||||
\(81\) | −44.9055 | + | 28.8590i | −0.554389 | + | 0.356284i | ||||
\(82\) | −26.1321 | − | 30.1580i | −0.318684 | − | 0.367780i | ||||
\(83\) | 12.2985 | + | 41.8848i | 0.148175 | + | 0.504636i | 0.999810 | − | 0.0194984i | \(-0.00620694\pi\) |
−0.851635 | + | 0.524135i | \(0.824389\pi\) | |||||||
\(84\) | 30.1348 | + | 4.33273i | 0.358747 | + | 0.0515801i | ||||
\(85\) | 14.0731 | − | 16.2412i | 0.165566 | − | 0.191073i | ||||
\(86\) | 82.2065 | + | 37.5424i | 0.955889 | + | 0.436540i | ||||
\(87\) | 92.4393 | + | 27.1426i | 1.06252 | + | 0.311984i | ||||
\(88\) | 81.7560 | − | 37.3367i | 0.929045 | − | 0.424281i | ||||
\(89\) | −77.2839 | + | 11.1118i | −0.868359 | + | 0.124851i | −0.562072 | − | 0.827088i | \(-0.689996\pi\) |
−0.306287 | + | 0.951939i | \(0.599087\pi\) | |||||||
\(90\) | −7.32003 | + | 11.3902i | −0.0813337 | + | 0.126558i | ||||
\(91\) | 89.8288i | 0.987130i | ||||||||
\(92\) | −28.0260 | + | 12.4328i | −0.304631 | + | 0.135139i | ||||
\(93\) | −76.5193 | −0.822788 | ||||||||
\(94\) | −6.46542 | − | 4.15507i | −0.0687810 | − | 0.0442029i | ||||
\(95\) | 9.83346 | + | 68.3932i | 0.103510 | + | 0.719929i | ||||
\(96\) | 21.8722 | + | 47.8933i | 0.227835 | + | 0.498889i | ||||
\(97\) | −35.2790 | + | 120.149i | −0.363701 | + | 1.23865i | 0.550994 | + | 0.834509i | \(0.314249\pi\) |
−0.914696 | + | 0.404144i | \(0.867570\pi\) | |||||||
\(98\) | 29.0259 | − | 63.5578i | 0.296182 | − | 0.648549i | ||||
\(99\) | −26.6772 | − | 23.1159i | −0.269467 | − | 0.233494i | ||||
\(100\) | −3.62823 | + | 25.2349i | −0.0362823 | + | 0.252349i | ||||
\(101\) | 156.291 | − | 45.8911i | 1.54743 | − | 0.454367i | 0.607101 | − | 0.794625i | \(-0.292332\pi\) |
0.940332 | + | 0.340258i | \(0.110514\pi\) | |||||||
\(102\) | −39.6965 | + | 34.3972i | −0.389181 | + | 0.337228i | ||||
\(103\) | 48.4684 | + | 75.4184i | 0.470567 | + | 0.732217i | 0.992695 | − | 0.120650i | \(-0.0384979\pi\) |
−0.522128 | + | 0.852867i | \(0.674862\pi\) | |||||||
\(104\) | −52.2792 | + | 33.5978i | −0.502685 | + | 0.323056i | ||||
\(105\) | −36.2510 | − | 41.8359i | −0.345248 | − | 0.398437i | ||||
\(106\) | −0.214942 | − | 0.732026i | −0.00202776 | − | 0.00690591i | ||||
\(107\) | −91.9063 | − | 13.2141i | −0.858938 | − | 0.123497i | −0.301248 | − | 0.953546i | \(-0.597403\pi\) |
−0.557690 | + | 0.830049i | \(0.688312\pi\) | |||||||
\(108\) | 25.5721 | − | 29.5118i | 0.236779 | − | 0.273257i | ||||
\(109\) | −174.514 | − | 79.6980i | −1.60105 | − | 0.731174i | −0.603254 | − | 0.797549i | \(-0.706129\pi\) |
−0.997795 | + | 0.0663749i | \(0.978857\pi\) | |||||||
\(110\) | 78.3761 | + | 23.0133i | 0.712510 | + | 0.209212i | ||||
\(111\) | −65.3937 | + | 29.8643i | −0.589132 | + | 0.269048i | ||||
\(112\) | 172.320 | − | 24.7758i | 1.53857 | − | 0.221213i | ||||
\(113\) | −24.3289 | + | 37.8565i | −0.215300 | + | 0.335013i | −0.932058 | − | 0.362308i | \(-0.881989\pi\) |
0.716758 | + | 0.697322i | \(0.245625\pi\) | |||||||
\(114\) | − | 168.884i | − | 1.48144i | ||||||
\(115\) | 53.3164 | + | 16.2864i | 0.463620 | + | 0.141621i | ||||
\(116\) | −50.0620 | −0.431569 | ||||||||
\(117\) | 20.5323 | + | 13.1953i | 0.175490 | + | 0.112780i | ||||
\(118\) | −15.0685 | − | 104.804i | −0.127699 | − | 0.888169i | ||||
\(119\) | 32.7896 | + | 71.7991i | 0.275542 | + | 0.603354i | ||||
\(120\) | 10.7894 | − | 36.7452i | 0.0899113 | − | 0.306210i | ||||
\(121\) | −38.2020 | + | 83.6506i | −0.315719 | + | 0.691327i | ||||
\(122\) | −36.9301 | − | 32.0002i | −0.302706 | − | 0.262296i | ||||
\(123\) | 6.30867 | − | 43.8777i | 0.0512900 | − | 0.356730i | ||||
\(124\) | 38.1510 | − | 11.2022i | 0.307670 | − | 0.0903399i | ||||
\(125\) | 80.8289 | − | 70.0387i | 0.646631 | − | 0.560309i | ||||
\(126\) | −26.8859 | − | 41.8353i | −0.213381 | − | 0.332027i | ||||
\(127\) | −23.3586 | + | 15.0117i | −0.183926 | + | 0.118202i | −0.629364 | − | 0.777111i | \(-0.716684\pi\) |
0.445438 | + | 0.895313i | \(0.353048\pi\) | |||||||
\(128\) | 100.376 | + | 115.840i | 0.784190 | + | 0.905003i | ||||
\(129\) | 28.2840 | + | 96.3263i | 0.219255 | + | 0.746716i | ||||
\(130\) | −55.9046 | − | 8.03786i | −0.430035 | − | 0.0618297i | ||||
\(131\) | 57.5254 | − | 66.3878i | 0.439125 | − | 0.506777i | −0.492443 | − | 0.870345i | \(-0.663896\pi\) |
0.931568 | + | 0.363568i | \(0.118441\pi\) | |||||||
\(132\) | −45.3952 | − | 20.7313i | −0.343903 | − | 0.157055i | ||||
\(133\) | −243.506 | − | 71.4999i | −1.83088 | − | 0.537594i | ||||
\(134\) | 81.2868 | − | 37.1225i | 0.606618 | − | 0.277033i | ||||
\(135\) | −70.2804 | + | 10.1048i | −0.520596 | + | 0.0748504i | ||||
\(136\) | −29.5222 | + | 45.9375i | −0.217075 | + | 0.337775i | ||||
\(137\) | − | 63.4118i | − | 0.462860i | −0.972852 | − | 0.231430i | \(-0.925660\pi\) | ||
0.972852 | − | 0.231430i | \(-0.0743404\pi\) | |||||||
\(138\) | −123.323 | − | 57.9475i | −0.893647 | − | 0.419910i | ||||
\(139\) | 207.346 | 1.49170 | 0.745850 | − | 0.666114i | \(-0.232044\pi\) | ||||
0.745850 | + | 0.666114i | \(0.232044\pi\) | |||||||
\(140\) | 24.1987 | + | 15.5516i | 0.172848 | + | 0.111083i | ||||
\(141\) | −1.21502 | − | 8.45064i | −0.00861715 | − | 0.0599336i | ||||
\(142\) | 95.6772 | + | 209.504i | 0.673783 | + | 1.47538i | ||||
\(143\) | 41.4845 | − | 141.283i | 0.290101 | − | 0.987994i | ||||
\(144\) | 19.6497 | − | 43.0268i | 0.136456 | − | 0.298797i | ||||
\(145\) | 68.7934 | + | 59.6098i | 0.474437 | + | 0.411102i | ||||
\(146\) | −32.7228 | + | 227.592i | −0.224129 | + | 1.55885i | ||||
\(147\) | 74.4745 | − | 21.8677i | 0.506629 | − | 0.148760i | ||||
\(148\) | 28.2320 | − | 24.4632i | 0.190757 | − | 0.165292i | ||||
\(149\) | −45.3675 | − | 70.5932i | −0.304480 | − | 0.473780i | 0.654972 | − | 0.755653i | \(-0.272681\pi\) |
−0.959452 | + | 0.281873i | \(0.909044\pi\) | |||||||
\(150\) | −95.3160 | + | 61.2559i | −0.635440 | + | 0.408373i | ||||
\(151\) | −48.2315 | − | 55.6621i | −0.319414 | − | 0.368623i | 0.573223 | − | 0.819399i | \(-0.305693\pi\) |
−0.892637 | + | 0.450776i | \(0.851147\pi\) | |||||||
\(152\) | −49.4644 | − | 168.460i | −0.325424 | − | 1.10829i | ||||
\(153\) | 21.2278 | + | 3.05210i | 0.138744 | + | 0.0199484i | ||||
\(154\) | −196.473 | + | 226.742i | −1.27580 | + | 1.47235i | ||||
\(155\) | −65.7644 | − | 30.0336i | −0.424286 | − | 0.193765i | ||||
\(156\) | 33.1081 | + | 9.72142i | 0.212232 | + | 0.0623168i | ||||
\(157\) | 142.271 | − | 64.9730i | 0.906184 | − | 0.413840i | 0.0928788 | − | 0.995677i | \(-0.470393\pi\) |
0.813305 | + | 0.581837i | \(0.197666\pi\) | |||||||
\(158\) | −164.301 | + | 23.6229i | −1.03988 | + | 0.149512i | ||||
\(159\) | 0.458201 | − | 0.712975i | 0.00288177 | − | 0.00448412i | ||||
\(160\) | 49.7466i | 0.310916i | ||||||||
\(161\) | −135.763 | + | 153.281i | −0.843246 | + | 0.952056i | ||||
\(162\) | 123.271 | 0.760931 | ||||||||
\(163\) | 221.732 | + | 142.498i | 1.36032 | + | 0.874223i | 0.998319 | − | 0.0579560i | \(-0.0184583\pi\) |
0.361998 | + | 0.932179i | \(0.382095\pi\) | |||||||
\(164\) | 3.27817 | + | 22.8002i | 0.0199888 | + | 0.139025i | ||||
\(165\) | 37.6953 | + | 82.5411i | 0.228456 | + | 0.500249i | ||||
\(166\) | 28.4014 | − | 96.7262i | 0.171093 | − | 0.582688i | ||||
\(167\) | 21.7164 | − | 47.5524i | 0.130039 | − | 0.284745i | −0.833402 | − | 0.552668i | \(-0.813610\pi\) |
0.963440 | + | 0.267923i | \(0.0863372\pi\) | |||||||
\(168\) | 106.304 | + | 92.1128i | 0.632761 | + | 0.548290i | ||||
\(169\) | 9.56190 | − | 66.5045i | 0.0565793 | − | 0.393518i | ||||
\(170\) | −47.6179 | + | 13.9819i | −0.280105 | + | 0.0822463i | ||||
\(171\) | −52.1125 | + | 45.1557i | −0.304751 | + | 0.264069i | ||||
\(172\) | −28.2037 | − | 43.8858i | −0.163975 | − | 0.255150i | ||||
\(173\) | 76.5353 | − | 49.1862i | 0.442400 | − | 0.284313i | −0.300416 | − | 0.953808i | \(-0.597126\pi\) |
0.742817 | + | 0.669495i | \(0.233489\pi\) | |||||||
\(174\) | −145.697 | − | 168.144i | −0.837341 | − | 0.966343i | ||||
\(175\) | 47.9684 | + | 163.365i | 0.274105 | + | 0.933516i | ||||
\(176\) | −282.467 | − | 40.6127i | −1.60493 | − | 0.230754i | ||||
\(177\) | 77.0252 | − | 88.8918i | 0.435171 | − | 0.502214i | ||||
\(178\) | 164.016 | + | 74.9035i | 0.921437 | + | 0.420806i | ||||
\(179\) | 112.077 | + | 32.9089i | 0.626130 | + | 0.183848i | 0.579379 | − | 0.815058i | \(-0.303295\pi\) |
0.0467511 | + | 0.998907i | \(0.485113\pi\) | |||||||
\(180\) | 7.10929 | − | 3.24670i | 0.0394960 | − | 0.0180372i | ||||
\(181\) | −5.87943 | + | 0.845334i | −0.0324830 | + | 0.00467036i | −0.158537 | − | 0.987353i | \(-0.550678\pi\) |
0.126054 | + | 0.992023i | \(0.459769\pi\) | |||||||
\(182\) | 112.153 | − | 174.514i | 0.616227 | − | 0.958867i | ||||
\(183\) | − | 54.2833i | − | 0.296630i | ||||||
\(184\) | −139.986 | − | 21.6819i | −0.760792 | − | 0.117837i | ||||
\(185\) | −67.9241 | −0.367157 | ||||||||
\(186\) | 148.657 | + | 95.5361i | 0.799231 | + | 0.513635i | ||||
\(187\) | −18.4135 | − | 128.069i | −0.0984680 | − | 0.684860i | ||||
\(188\) | 1.84293 | + | 4.03545i | 0.00980281 | + | 0.0214652i | ||||
\(189\) | 73.4729 | − | 250.226i | 0.388746 | − | 1.32395i | ||||
\(190\) | 66.2866 | − | 145.147i | 0.348877 | − | 0.763934i | ||||
\(191\) | −133.311 | − | 115.515i | −0.697965 | − | 0.604790i | 0.231879 | − | 0.972745i | \(-0.425513\pi\) |
−0.929844 | + | 0.367955i | \(0.880058\pi\) | |||||||
\(192\) | −11.2536 | + | 78.2705i | −0.0586125 | + | 0.407659i | ||||
\(193\) | −308.703 | + | 90.6434i | −1.59950 | + | 0.469655i | −0.955407 | − | 0.295293i | \(-0.904583\pi\) |
−0.644092 | + | 0.764948i | \(0.722765\pi\) | |||||||
\(194\) | 218.547 | − | 189.372i | 1.12653 | − | 0.976145i | ||||
\(195\) | −33.9205 | − | 52.7813i | −0.173951 | − | 0.270673i | ||||
\(196\) | −33.9302 | + | 21.8056i | −0.173113 | + | 0.111253i | ||||
\(197\) | −24.6882 | − | 28.4917i | −0.125321 | − | 0.144628i | 0.689622 | − | 0.724170i | \(-0.257777\pi\) |
−0.814942 | + | 0.579542i | \(0.803231\pi\) | |||||||
\(198\) | 22.9661 | + | 78.2152i | 0.115990 | + | 0.395026i | ||||
\(199\) | −74.6410 | − | 10.7318i | −0.375080 | − | 0.0539284i | −0.0478032 | − | 0.998857i | \(-0.515222\pi\) |
−0.327277 | + | 0.944928i | \(0.606131\pi\) | |||||||
\(200\) | −77.1354 | + | 89.0190i | −0.385677 | + | 0.445095i | ||||
\(201\) | 90.2990 | + | 41.2382i | 0.449249 | + | 0.205165i | ||||
\(202\) | −360.928 | − | 105.978i | −1.78677 | − | 0.524644i | ||||
\(203\) | −304.122 | + | 138.888i | −1.49814 | + | 0.684176i | ||||
\(204\) | 30.0115 | − | 4.31500i | 0.147115 | − | 0.0211520i | ||||
\(205\) | 22.6438 | − | 35.2345i | 0.110458 | − | 0.171876i | ||||
\(206\) | − | 207.032i | − | 1.00501i | ||||||
\(207\) | 15.0930 | + | 53.5475i | 0.0729128 | + | 0.258684i | ||||
\(208\) | 197.315 | 0.948630 | ||||||||
\(209\) | 349.968 | + | 224.911i | 1.67449 | + | 1.07613i | ||||
\(210\) | 18.1932 | + | 126.537i | 0.0866343 | + | 0.602555i | ||||
\(211\) | 27.2665 | + | 59.7054i | 0.129225 | + | 0.282964i | 0.963174 | − | 0.268878i | \(-0.0866527\pi\) |
−0.833949 | + | 0.551841i | \(0.813925\pi\) | |||||||
\(212\) | −0.124073 | + | 0.422555i | −0.000585251 | + | 0.00199318i | ||||
\(213\) | −106.285 | + | 232.731i | −0.498990 | + | 1.09263i | ||||
\(214\) | 162.052 | + | 140.419i | 0.757252 | + | 0.656162i | ||||
\(215\) | −13.4992 | + | 93.8888i | −0.0627869 | + | 0.436692i | ||||
\(216\) | 173.109 | − | 50.8293i | 0.801429 | − | 0.235321i | ||||
\(217\) | 200.685 | − | 173.895i | 0.924817 | − | 0.801358i | ||||
\(218\) | 239.531 | + | 372.717i | 1.09877 | + | 1.70971i | ||||
\(219\) | −214.877 | + | 138.093i | −0.981175 | + | 0.630563i | ||||
\(220\) | −30.8779 | − | 35.6349i | −0.140354 | − | 0.161977i | ||||
\(221\) | 25.2042 | + | 85.8375i | 0.114046 | + | 0.388405i | ||||
\(222\) | 164.329 | + | 23.6269i | 0.740221 | + | 0.106428i | ||||
\(223\) | 138.406 | − | 159.729i | 0.620654 | − | 0.716272i | −0.355177 | − | 0.934799i | \(-0.615580\pi\) |
0.975831 | + | 0.218526i | \(0.0701250\pi\) | |||||||
\(224\) | −166.204 | − | 75.9028i | −0.741982 | − | 0.338852i | ||||
\(225\) | 44.3869 | + | 13.0332i | 0.197275 | + | 0.0579252i | ||||
\(226\) | 94.5294 | − | 43.1701i | 0.418272 | − | 0.191018i | ||||
\(227\) | −102.876 | + | 14.7913i | −0.453197 | + | 0.0651599i | −0.365134 | − | 0.930955i | \(-0.618977\pi\) |
−0.0880631 | + | 0.996115i | \(0.528068\pi\) | |||||||
\(228\) | −52.7054 | + | 82.0111i | −0.231164 | + | 0.359698i | ||||
\(229\) | 246.045i | 1.07443i | 0.843445 | + | 0.537216i | \(0.180524\pi\) | ||||
−0.843445 | + | 0.537216i | \(0.819476\pi\) | |||||||
\(230\) | −83.2458 | − | 98.2069i | −0.361938 | − | 0.426987i | ||||
\(231\) | −333.286 | −1.44280 | ||||||||
\(232\) | −194.579 | − | 125.048i | −0.838701 | − | 0.539001i | ||||
\(233\) | 17.2479 | + | 119.962i | 0.0740253 | + | 0.514857i | 0.992773 | + | 0.120011i | \(0.0382930\pi\) |
−0.918747 | + | 0.394846i | \(0.870798\pi\) | |||||||
\(234\) | −23.4143 | − | 51.2701i | −0.100061 | − | 0.219103i | ||||
\(235\) | 2.27260 | − | 7.73978i | 0.00967065 | − | 0.0329352i | ||||
\(236\) | −25.3898 | + | 55.5959i | −0.107584 | + | 0.235576i | ||||
\(237\) | −139.356 | − | 120.752i | −0.587998 | − | 0.509503i | ||||
\(238\) | 25.9413 | − | 180.425i | 0.108997 | − | 0.758090i | ||||
\(239\) | 169.878 | − | 49.8806i | 0.710785 | − | 0.208705i | 0.0936987 | − | 0.995601i | \(-0.470131\pi\) |
0.617087 | + | 0.786895i | \(0.288313\pi\) | |||||||
\(240\) | −91.8955 | + | 79.6279i | −0.382898 | + | 0.331783i | ||||
\(241\) | −102.121 | − | 158.904i | −0.423741 | − | 0.659353i | 0.562094 | − | 0.827073i | \(-0.309996\pi\) |
−0.985835 | + | 0.167720i | \(0.946360\pi\) | |||||||
\(242\) | 178.656 | − | 114.815i | 0.738248 | − | 0.474443i | ||||
\(243\) | −82.9742 | − | 95.7573i | −0.341458 | − | 0.394063i | ||||
\(244\) | 7.94688 | + | 27.0646i | 0.0325692 | + | 0.110920i | ||||
\(245\) | 72.5900 | + | 10.4369i | 0.296286 | + | 0.0425994i | ||||
\(246\) | −67.0384 | + | 77.3665i | −0.272514 | + | 0.314498i | ||||
\(247\) | −261.647 | − | 119.490i | −1.05930 | − | 0.483766i | ||||
\(248\) | 176.265 | + | 51.7561i | 0.710746 | + | 0.208694i | ||||
\(249\) | 101.866 | − | 46.5208i | 0.409102 | − | 0.186831i | ||||
\(250\) | −244.474 | + | 35.1501i | −0.977897 | + | 0.140600i | ||||
\(251\) | 97.9838 | − | 152.466i | 0.390374 | − | 0.607433i | −0.589328 | − | 0.807894i | \(-0.700607\pi\) |
0.979702 | + | 0.200461i | \(0.0642439\pi\) | |||||||
\(252\) | 28.7060i | 0.113913i | ||||||||
\(253\) | 284.316 | − | 178.384i | 1.12378 | − | 0.705074i | ||||
\(254\) | 64.1221 | 0.252449 | ||||||||
\(255\) | −46.3786 | − | 29.8057i | −0.181877 | − | 0.116885i | ||||
\(256\) | −32.8286 | − | 228.328i | −0.128237 | − | 0.891906i | ||||
\(257\) | 0.347714 | + | 0.761388i | 0.00135297 | + | 0.00296260i | 0.910307 | − | 0.413933i | \(-0.135845\pi\) |
−0.908954 | + | 0.416896i | \(0.863118\pi\) | |||||||
\(258\) | 65.3172 | − | 222.450i | 0.253168 | − | 0.862209i | ||||
\(259\) | 103.638 | − | 226.935i | 0.400146 | − | 0.876198i | ||||
\(260\) | 24.6391 | + | 21.3499i | 0.0947658 | + | 0.0821150i | ||||
\(261\) | −12.9279 | + | 89.9153i | −0.0495321 | + | 0.344503i | ||||
\(262\) | −194.643 | + | 57.1525i | −0.742914 | + | 0.218139i | ||||
\(263\) | −212.690 | + | 184.297i | −0.808708 | + | 0.700750i | −0.957599 | − | 0.288104i | \(-0.906975\pi\) |
0.148891 | + | 0.988854i | \(0.452430\pi\) | |||||||
\(264\) | −124.656 | − | 193.968i | −0.472181 | − | 0.734729i | ||||
\(265\) | 0.673641 | − | 0.432923i | 0.00254204 | − | 0.00163367i | ||||
\(266\) | 383.800 | + | 442.929i | 1.44286 | + | 1.66515i | ||||
\(267\) | 56.4313 | + | 192.187i | 0.211353 | + | 0.719802i | ||||
\(268\) | −51.0585 | − | 7.34110i | −0.190517 | − | 0.0273922i | ||||
\(269\) | −113.292 | + | 130.746i | −0.421160 | + | 0.486045i | −0.926190 | − | 0.377057i | \(-0.876936\pi\) |
0.505030 | + | 0.863102i | \(0.331482\pi\) | |||||||
\(270\) | 149.153 | + | 68.1157i | 0.552417 | + | 0.252280i | ||||
\(271\) | 197.033 | + | 57.8541i | 0.727058 | + | 0.213484i | 0.624258 | − | 0.781218i | \(-0.285401\pi\) |
0.102801 | + | 0.994702i | \(0.467220\pi\) | |||||||
\(272\) | 157.712 | − | 72.0245i | 0.579822 | − | 0.264796i | ||||
\(273\) | 228.099 | − | 32.7956i | 0.835526 | − | 0.120131i | ||||
\(274\) | −79.1711 | + | 123.193i | −0.288945 | + | 0.449608i | ||||
\(275\) | − | 279.094i | − | 1.01489i | ||||||
\(276\) | 41.8022 | + | 66.6263i | 0.151457 | + | 0.241400i | ||||
\(277\) | −19.7616 | −0.0713414 | −0.0356707 | − | 0.999364i | \(-0.511357\pi\) | ||||
−0.0356707 | + | 0.999364i | \(0.511357\pi\) | |||||||
\(278\) | −402.820 | − | 258.877i | −1.44899 | − | 0.931210i | ||||
\(279\) | −10.2679 | − | 71.4150i | −0.0368026 | − | 0.255968i | ||||
\(280\) | 55.2086 | + | 120.890i | 0.197174 | + | 0.431750i | ||||
\(281\) | −140.662 | + | 479.049i | −0.500575 | + | 1.70480i | 0.190212 | + | 0.981743i | \(0.439082\pi\) |
−0.690787 | + | 0.723058i | \(0.742736\pi\) | |||||||
\(282\) | −8.19035 | + | 17.9344i | −0.0290438 | + | 0.0635970i | ||||
\(283\) | −144.402 | − | 125.125i | −0.510254 | − | 0.442138i | 0.361291 | − | 0.932453i | \(-0.382336\pi\) |
−0.871545 | + | 0.490315i | \(0.836882\pi\) | |||||||
\(284\) | 18.9205 | − | 131.595i | 0.0666215 | − | 0.463363i | ||||
\(285\) | 170.078 | − | 49.9394i | 0.596765 | − | 0.175226i | ||||
\(286\) | −256.989 | + | 222.682i | −0.898562 | + | 0.778608i | ||||
\(287\) | 83.1692 | + | 129.414i | 0.289788 | + | 0.450919i | ||||
\(288\) | −41.7636 | + | 26.8398i | −0.145013 | + | 0.0931939i | ||||
\(289\) | −137.777 | − | 159.003i | −0.476736 | − | 0.550183i | ||||
\(290\) | −59.2234 | − | 201.696i | −0.204219 | − | 0.695505i | ||||
\(291\) | 317.970 | + | 45.7172i | 1.09268 | + | 0.157104i | ||||
\(292\) | 86.9173 | − | 100.308i | 0.297662 | − | 0.343520i | ||||
\(293\) | 168.666 | + | 77.0271i | 0.575651 | + | 0.262891i | 0.681896 | − | 0.731449i | \(-0.261156\pi\) |
−0.106245 | + | 0.994340i | \(0.533883\pi\) | |||||||
\(294\) | −171.987 | − | 50.4999i | −0.584989 | − | 0.171768i | ||||
\(295\) | 101.089 | − | 46.1658i | 0.342674 | − | 0.156494i | ||||
\(296\) | 170.836 | − | 24.5626i | 0.577150 | − | 0.0829816i | ||||
\(297\) | −231.117 | + | 359.625i | −0.778172 | + | 1.21086i | ||||
\(298\) | 193.787i | 0.650290i | ||||||||
\(299\) | −177.031 | + | 150.061i | −0.592076 | + | 0.501878i | ||||
\(300\) | 65.4027 | 0.218009 | ||||||||
\(301\) | −293.087 | − | 188.356i | −0.973711 | − | 0.625766i | ||||
\(302\) | 24.2058 | + | 168.355i | 0.0801517 | + | 0.557467i | ||||
\(303\) | −173.590 | − | 380.108i | −0.572903 | − | 1.25448i | ||||
\(304\) | −157.055 | + | 534.879i | −0.516627 | + | 1.75947i | ||||
\(305\) | 21.3060 | − | 46.6537i | 0.0698558 | − | 0.152963i | ||||
\(306\) | −37.4295 | − | 32.4328i | −0.122319 | − | 0.105990i | ||||
\(307\) | −19.6689 | + | 136.800i | −0.0640680 | + | 0.445603i | 0.932386 | + | 0.361464i | \(0.117723\pi\) |
−0.996454 | + | 0.0841389i | \(0.973186\pi\) | |||||||
\(308\) | 166.170 | − | 48.7919i | 0.539513 | − | 0.158415i | ||||
\(309\) | 173.812 | − | 150.609i | 0.562497 | − | 0.487406i | ||||
\(310\) | 90.2654 | + | 140.456i | 0.291179 | + | 0.453083i | ||||
\(311\) | 227.767 | − | 146.377i | 0.732369 | − | 0.470665i | −0.120550 | − | 0.992707i | \(-0.538466\pi\) |
0.852920 | + | 0.522042i | \(0.174830\pi\) | |||||||
\(312\) | 104.400 | + | 120.484i | 0.334616 | + | 0.386168i | ||||
\(313\) | −105.562 | − | 359.511i | −0.337259 | − | 1.14860i | −0.937269 | − | 0.348606i | \(-0.886655\pi\) |
0.600011 | − | 0.799992i | \(-0.295163\pi\) | |||||||
\(314\) | −357.515 | − | 51.4030i | −1.13858 | − | 0.163704i | ||||
\(315\) | 34.1808 | − | 39.4467i | 0.108510 | − | 0.125228i | ||||
\(316\) | 87.1577 | + | 39.8036i | 0.275815 | + | 0.125961i | ||||
\(317\) | 107.567 | + | 31.5846i | 0.339328 | + | 0.0996358i | 0.446957 | − | 0.894555i | \(-0.352508\pi\) |
−0.107629 | + | 0.994191i | \(0.534326\pi\) | |||||||
\(318\) | −1.78033 | + | 0.813050i | −0.00559853 | + | 0.00255676i | ||||
\(319\) | 542.465 | − | 77.9947i | 1.70052 | − | 0.244497i | ||||
\(320\) | −40.3928 | + | 62.8524i | −0.126228 | + | 0.196414i | ||||
\(321\) | 238.198i | 0.742051i | ||||||||
\(322\) | 455.126 | − | 128.282i | 1.41344 | − | 0.398392i | ||||
\(323\) | −252.748 | −0.782503 | ||||||||
\(324\) | −59.8609 | − | 38.4703i | −0.184756 | − | 0.118735i | ||||
\(325\) | 27.4631 | + | 191.010i | 0.0845019 | + | 0.587724i | ||||
\(326\) | −252.854 | − | 553.674i | −0.775627 | − | 1.69839i | ||||
\(327\) | −138.660 | + | 472.234i | −0.424038 | + | 1.44414i | ||||
\(328\) | −44.2102 | + | 96.8069i | −0.134787 | + | 0.295143i | ||||
\(329\) | 22.3912 | + | 19.4021i | 0.0680583 | + | 0.0589728i | ||||
\(330\) | 29.8224 | − | 207.419i | 0.0903708 | − | 0.628543i | ||||
\(331\) | −42.1405 | + | 12.3736i | −0.127313 | + | 0.0373824i | −0.344768 | − | 0.938688i | \(-0.612042\pi\) |
0.217455 | + | 0.976070i | \(0.430224\pi\) | |||||||
\(332\) | −43.9781 | + | 38.1073i | −0.132464 | + | 0.114781i | ||||
\(333\) | −36.6472 | − | 57.0241i | −0.110052 | − | 0.171244i | ||||
\(334\) | −101.560 | + | 65.2684i | −0.304071 | + | 0.195414i | ||||
\(335\) | 61.4215 | + | 70.8842i | 0.183348 | + | 0.211595i | ||||
\(336\) | −125.825 | − | 428.519i | −0.374478 | − | 1.27536i | ||||
\(337\) | 283.828 | + | 40.8084i | 0.842221 | + | 0.121093i | 0.549903 | − | 0.835228i | \(-0.314665\pi\) |
0.292317 | + | 0.956321i | \(0.405574\pi\) | |||||||
\(338\) | −101.609 | + | 117.263i | −0.300617 | + | 0.346931i | ||||
\(339\) | 105.010 | + | 47.9564i | 0.309763 | + | 0.141464i | ||||
\(340\) | 27.4869 | + | 8.07089i | 0.0808439 | + | 0.0237379i | ||||
\(341\) | −395.946 | + | 180.823i | −1.16113 | + | 0.530272i | ||||
\(342\) | 157.619 | − | 22.6622i | 0.460874 | − | 0.0662637i | ||||
\(343\) | 90.2156 | − | 140.378i | 0.263019 | − | 0.409266i | ||||
\(344\) | − | 241.022i | − | 0.700645i | ||||||
\(345\) | 21.8901 | − | 141.330i | 0.0634497 | − | 0.409652i | ||||
\(346\) | −210.098 | −0.607220 | ||||||||
\(347\) | −396.957 | − | 255.109i | −1.14397 | − | 0.735185i | −0.175540 | − | 0.984472i | \(-0.556167\pi\) |
−0.968429 | + | 0.249288i | \(0.919804\pi\) | |||||||
\(348\) | 18.2772 | + | 127.121i | 0.0525206 | + | 0.365289i | ||||
\(349\) | 186.277 | + | 407.891i | 0.533746 | + | 1.16874i | 0.963968 | + | 0.266018i | \(0.0857082\pi\) |
−0.430222 | + | 0.902723i | \(0.641565\pi\) | |||||||
\(350\) | 110.775 | − | 377.266i | 0.316501 | − | 1.07790i | ||||
\(351\) | 122.788 | − | 268.867i | 0.349822 | − | 0.766003i | ||||
\(352\) | 226.353 | + | 196.136i | 0.643049 | + | 0.557205i | ||||
\(353\) | 90.5751 | − | 629.963i | 0.256587 | − | 1.78460i | −0.300132 | − | 0.953898i | \(-0.597031\pi\) |
0.556719 | − | 0.830701i | \(-0.312060\pi\) | |||||||
\(354\) | −260.623 | + | 76.5259i | −0.736224 | + | 0.216175i | ||||
\(355\) | −182.693 | + | 158.304i | −0.514627 | + | 0.445927i | ||||
\(356\) | −56.2711 | − | 87.5595i | −0.158065 | − | 0.245954i | ||||
\(357\) | 170.345 | − | 109.474i | 0.477158 | − | 0.306651i | ||||
\(358\) | −176.650 | − | 203.864i | −0.493434 | − | 0.569454i | ||||
\(359\) | −24.5926 | − | 83.7547i | −0.0685030 | − | 0.233300i | 0.918124 | − | 0.396293i | \(-0.129703\pi\) |
−0.986627 | + | 0.162993i | \(0.947885\pi\) | |||||||
\(360\) | 35.7418 | + | 5.13890i | 0.0992829 | + | 0.0142747i | ||||
\(361\) | 295.768 | − | 341.335i | 0.819302 | − | 0.945525i | ||||
\(362\) | 12.4776 | + | 5.69834i | 0.0344686 | + | 0.0157413i | ||||
\(363\) | 226.358 | + | 66.4647i | 0.623575 | + | 0.183098i | ||||
\(364\) | −108.924 | + | 49.7441i | −0.299243 | + | 0.136660i | ||||
\(365\) | −238.877 | + | 34.3453i | −0.654458 | + | 0.0940968i | ||||
\(366\) | −67.7739 | + | 105.458i | −0.185174 | + | 0.288137i | ||||
\(367\) | 363.178i | 0.989586i | 0.869011 | + | 0.494793i | \(0.164756\pi\) | ||||
−0.869011 | + | 0.494793i | \(0.835244\pi\) | |||||||
\(368\) | 336.692 | + | 298.212i | 0.914924 | + | 0.810359i | ||||
\(369\) | 41.7974 | 0.113272 | ||||||||
\(370\) | 131.959 | + | 84.8048i | 0.356645 | + | 0.229202i | ||||
\(371\) | 0.418566 | + | 2.91119i | 0.00112821 | + | 0.00784688i | ||||
\(372\) | −42.3738 | − | 92.7856i | −0.113908 | − | 0.249424i | ||||
\(373\) | −31.1537 | + | 106.100i | −0.0835220 | + | 0.284450i | −0.990654 | − | 0.136395i | \(-0.956448\pi\) |
0.907132 | + | 0.420845i | \(0.138266\pi\) | |||||||
\(374\) | −124.124 | + | 271.794i | −0.331883 | + | 0.726722i | ||||
\(375\) | −207.356 | − | 179.675i | −0.552950 | − | 0.479134i | ||||
\(376\) | −2.91700 | + | 20.2882i | −0.00775797 | + | 0.0539579i | ||||
\(377\) | −363.584 | + | 106.758i | −0.964415 | + | 0.283178i | ||||
\(378\) | −455.151 | + | 394.391i | −1.20410 | + | 1.04336i | ||||
\(379\) | 76.3725 | + | 118.838i | 0.201510 | + | 0.313556i | 0.927271 | − | 0.374391i | \(-0.122148\pi\) |
−0.725760 | + | 0.687948i | \(0.758512\pi\) | |||||||
\(380\) | −77.4867 | + | 49.7976i | −0.203912 | + | 0.131046i | ||||
\(381\) | 46.6466 | + | 53.8330i | 0.122432 | + | 0.141294i | ||||
\(382\) | 114.766 | + | 390.857i | 0.300435 | + | 1.02319i | ||||
\(383\) | 341.162 | + | 49.0517i | 0.890762 | + | 0.128072i | 0.572475 | − | 0.819922i | \(-0.305983\pi\) |
0.318287 | + | 0.947994i | \(0.396892\pi\) | |||||||
\(384\) | 257.502 | − | 297.174i | 0.670579 | − | 0.773890i | ||||
\(385\) | −286.442 | − | 130.814i | −0.744005 | − | 0.339776i | ||||
\(386\) | 712.900 | + | 209.326i | 1.84689 | + | 0.542296i | ||||
\(387\) | −86.1055 | + | 39.3230i | −0.222495 | + | 0.101610i | ||||
\(388\) | −165.227 | + | 23.7560i | −0.425842 | + | 0.0612268i | ||||
\(389\) | 220.904 | − | 343.733i | 0.567875 | − | 0.883631i | −0.431958 | − | 0.901894i | \(-0.642177\pi\) |
0.999833 | + | 0.0182624i | \(0.00581342\pi\) | |||||||
\(390\) | 144.891i | 0.371515i | ||||||||
\(391\) | −86.7228 | + | 184.563i | −0.221798 | + | 0.472027i | ||||
\(392\) | −186.346 | −0.475371 | ||||||||
\(393\) | −189.578 | − | 121.834i | −0.482386 | − | 0.310011i | ||||
\(394\) | 12.3902 | + | 86.1757i | 0.0314472 | + | 0.218720i | ||||
\(395\) | −72.3740 | − | 158.477i | −0.183225 | − | 0.401207i | ||||
\(396\) | 13.2569 | − | 45.1490i | 0.0334771 | − | 0.114013i | ||||
\(397\) | −263.314 | + | 576.578i | −0.663260 | + | 1.45234i | 0.216193 | + | 0.976351i | \(0.430636\pi\) |
−0.879453 | + | 0.475986i | \(0.842091\pi\) | |||||||
\(398\) | 131.609 | + | 114.040i | 0.330676 | + | 0.286533i | ||||
\(399\) | −92.6551 | + | 644.430i | −0.232218 | + | 1.61511i | ||||
\(400\) | 358.843 | − | 105.366i | 0.897108 | − | 0.263415i | ||||
\(401\) | 391.718 | − | 339.425i | 0.976852 | − | 0.846447i | −0.0112980 | − | 0.999936i | \(-0.503596\pi\) |
0.988150 | + | 0.153489i | \(0.0490509\pi\) | |||||||
\(402\) | −123.941 | − | 192.855i | −0.308310 | − | 0.479740i | ||||
\(403\) | 253.190 | − | 162.715i | 0.628263 | − | 0.403760i | ||||
\(404\) | 142.195 | + | 164.102i | 0.351968 | + | 0.406192i | ||||
\(405\) | 36.4514 | + | 124.142i | 0.0900034 | + | 0.306523i | ||||
\(406\) | 764.233 | + | 109.880i | 1.88235 | + | 0.270641i | ||||
\(407\) | −267.805 | + | 309.063i | −0.657997 | + | 0.759370i | ||||
\(408\) | 127.425 | + | 58.1933i | 0.312317 | + | 0.142631i | ||||
\(409\) | −675.632 | − | 198.384i | −1.65191 | − | 0.485045i | −0.682583 | − | 0.730808i | \(-0.739143\pi\) |
−0.969330 | + | 0.245763i | \(0.920961\pi\) | |||||||
\(410\) | −87.9822 | + | 40.1801i | −0.214591 | + | 0.0980003i | ||||
\(411\) | −161.019 | + | 23.1510i | −0.391774 | + | 0.0563286i | ||||
\(412\) | −64.6105 | + | 100.536i | −0.156822 | + | 0.244019i | ||||
\(413\) | 408.179i | 0.988326i | ||||||||
\(414\) | 37.5336 | − | 122.873i | 0.0906610 | − | 0.296794i | ||||
\(415\) | 105.808 | 0.254959 | ||||||||
\(416\) | −174.215 | − | 111.961i | −0.418785 | − | 0.269137i | ||||
\(417\) | −75.7002 | − | 526.506i | −0.181535 | − | 1.26260i | ||||
\(418\) | −399.091 | − | 873.887i | −0.954762 | − | 2.09064i | ||||
\(419\) | 135.610 | − | 461.846i | 0.323652 | − | 1.10226i | −0.623594 | − | 0.781749i | \(-0.714328\pi\) |
0.947246 | − | 0.320508i | \(-0.103854\pi\) | |||||||
\(420\) | 30.6547 | − | 67.1245i | 0.0729875 | − | 0.159820i | ||||
\(421\) | −63.9329 | − | 55.3982i | −0.151860 | − | 0.131587i | 0.575617 | − | 0.817719i | \(-0.304762\pi\) |
−0.727477 | + | 0.686132i | \(0.759307\pi\) | |||||||
\(422\) | 21.5717 | − | 150.035i | 0.0511179 | − | 0.355533i | ||||
\(423\) | 7.72389 | − | 2.26794i | 0.0182598 | − | 0.00536156i | ||||
\(424\) | −1.53773 | + | 1.33245i | −0.00362671 | + | 0.00314256i | ||||
\(425\) | 91.6741 | + | 142.648i | 0.215704 | + | 0.335641i | ||||
\(426\) | 497.054 | − | 319.437i | 1.16679 | − | 0.749852i | ||||
\(427\) | 123.362 | + | 142.367i | 0.288904 | + | 0.333413i | ||||
\(428\) | −34.8714 | − | 118.761i | −0.0814753 | − | 0.277479i | ||||
\(429\) | −373.900 | − | 53.7588i | −0.871563 | − | 0.125312i | ||||
\(430\) | 143.448 | − | 165.547i | 0.333599 | − | 0.384994i | ||||
\(431\) | 242.375 | + | 110.689i | 0.562354 | + | 0.256819i | 0.676248 | − | 0.736674i | \(-0.263605\pi\) |
−0.113893 | + | 0.993493i | \(0.536332\pi\) | |||||||
\(432\) | −549.638 | − | 161.388i | −1.27231 | − | 0.373584i | ||||
\(433\) | −227.267 | + | 103.790i | −0.524867 | + | 0.239699i | −0.660184 | − | 0.751104i | \(-0.729522\pi\) |
0.135317 | + | 0.990802i | \(0.456795\pi\) | |||||||
\(434\) | −606.990 | + | 87.2720i | −1.39860 | + | 0.201088i | ||||
\(435\) | 126.249 | − | 196.447i | 0.290228 | − | 0.451603i | ||||
\(436\) | − | 255.746i | − | 0.586574i | ||||||
\(437\) | −265.875 | − | 599.335i | −0.608410 | − | 1.37148i | ||||
\(438\) | 589.863 | 1.34672 | ||||||||
\(439\) | 518.304 | + | 333.094i | 1.18065 | + | 0.758756i | 0.975505 | − | 0.219977i | \(-0.0705981\pi\) |
0.205142 | + | 0.978732i | \(0.434234\pi\) | |||||||
\(440\) | −31.0033 | − | 215.633i | −0.0704621 | − | 0.490075i | ||||
\(441\) | 30.4025 | + | 66.5723i | 0.0689400 | + | 0.150958i | ||||
\(442\) | 58.2049 | − | 198.228i | 0.131685 | − | 0.448479i | ||||
\(443\) | −241.637 | + | 529.111i | −0.545455 | + | 1.19438i | 0.413417 | + | 0.910542i | \(0.364335\pi\) |
−0.958872 | + | 0.283839i | \(0.908392\pi\) | |||||||
\(444\) | −72.4255 | − | 62.7571i | −0.163121 | − | 0.141345i | ||||
\(445\) | −26.9331 | + | 187.324i | −0.0605239 | + | 0.420953i | ||||
\(446\) | −468.311 | + | 137.509i | −1.05002 | + | 0.308315i | ||||
\(447\) | −162.691 | + | 140.973i | −0.363963 | + | 0.315375i | ||||
\(448\) | −148.360 | − | 230.853i | −0.331161 | − | 0.515296i | ||||
\(449\) | 24.9163 | − | 16.0127i | 0.0554929 | − | 0.0356631i | −0.512600 | − | 0.858627i | \(-0.671318\pi\) |
0.568093 | + | 0.822964i | \(0.307681\pi\) | |||||||
\(450\) | −69.9600 | − | 80.7381i | −0.155467 | − | 0.179418i | ||||
\(451\) | −71.0435 | − | 241.952i | −0.157524 | − | 0.536478i | ||||
\(452\) | −59.3765 | − | 8.53705i | −0.131364 | − | 0.0188873i | ||||
\(453\) | −123.732 | + | 142.794i | −0.273138 | + | 0.315219i | ||||
\(454\) | 218.328 | + | 99.7070i | 0.480899 | + | 0.219619i | ||||
\(455\) | 208.911 | + | 61.3419i | 0.459145 | + | 0.134817i | ||||
\(456\) | −409.705 | + | 187.106i | −0.898476 | + | 0.410320i | ||||
\(457\) | 180.277 | − | 25.9199i | 0.394478 | − | 0.0567174i | 0.0577784 | − | 0.998329i | \(-0.481598\pi\) |
0.336700 | + | 0.941612i | \(0.390689\pi\) | |||||||
\(458\) | 307.193 | − | 478.001i | 0.670726 | − | 1.04367i | ||||
\(459\) | − | 259.723i | − | 0.565845i | ||||||
\(460\) | 9.77622 | + | 73.6691i | 0.0212527 | + | 0.160150i | ||||
\(461\) | 285.862 | 0.620090 | 0.310045 | − | 0.950722i | \(-0.399656\pi\) | ||||
0.310045 | + | 0.950722i | \(0.399656\pi\) | |||||||
\(462\) | 647.488 | + | 416.115i | 1.40149 | + | 0.900682i | ||||
\(463\) | 18.9647 | + | 131.902i | 0.0409605 | + | 0.284887i | 0.999999 | + | 0.00160977i | \(0.000512406\pi\) |
−0.959038 | + | 0.283277i | \(0.908579\pi\) | |||||||
\(464\) | 305.076 | + | 668.024i | 0.657492 | + | 1.43971i | ||||
\(465\) | −52.2531 | + | 177.958i | −0.112372 | + | 0.382705i | ||||
\(466\) | 116.267 | − | 254.589i | 0.249500 | − | 0.546328i | ||||
\(467\) | 464.297 | + | 402.315i | 0.994211 | + | 0.861489i | 0.990362 | − | 0.138504i | \(-0.0442293\pi\) |
0.00384906 | + | 0.999993i | \(0.498775\pi\) | |||||||
\(468\) | −4.63025 | + | 32.2041i | −0.00989371 | + | 0.0688122i | ||||
\(469\) | −330.541 | + | 97.0557i | −0.704779 | + | 0.206942i | ||||
\(470\) | −14.0784 | + | 12.1990i | −0.0299540 | + | 0.0259552i | ||||
\(471\) | −216.925 | − | 337.542i | −0.460563 | − | 0.716649i | ||||
\(472\) | −237.555 | + | 152.667i | −0.503294 | + | 0.323448i | ||||
\(473\) | 373.983 | + | 431.599i | 0.790662 | + | 0.912472i | ||||
\(474\) | 119.970 | + | 408.579i | 0.253100 | + | 0.861980i | ||||
\(475\) | −539.647 | − | 77.5896i | −1.13610 | − | 0.163346i | ||||
\(476\) | −68.9043 | + | 79.5198i | −0.144757 | + | 0.167058i | ||||
\(477\) | 0.726901 | + | 0.331964i | 0.00152390 | + | 0.000695942i | ||||
\(478\) | −392.305 | − | 115.191i | −0.820722 | − | 0.240986i | ||||
\(479\) | 377.961 | − | 172.609i | 0.789063 | − | 0.360353i | 0.0202241 | − | 0.999795i | \(-0.493562\pi\) |
0.768839 | + | 0.639442i | \(0.220835\pi\) | |||||||
\(480\) | 126.320 | − | 18.1620i | 0.263166 | − | 0.0378375i | ||||
\(481\) | 152.872 | − | 237.873i | 0.317821 | − | 0.494539i | ||||
\(482\) | 436.210i | 0.905000i | ||||||||
\(483\) | 438.786 | + | 288.775i | 0.908460 | + | 0.597878i | ||||
\(484\) | −122.588 | −0.253281 | ||||||||
\(485\) | 255.335 | + | 164.094i | 0.526464 | + | 0.338338i | ||||
\(486\) | 41.6420 | + | 289.627i | 0.0856832 | + | 0.595940i | ||||
\(487\) | −85.3702 | − | 186.935i | −0.175298 | − | 0.383849i | 0.801505 | − | 0.597988i | \(-0.204033\pi\) |
−0.976803 | + | 0.214138i | \(0.931306\pi\) | |||||||
\(488\) | −36.7161 | + | 125.043i | −0.0752379 | + | 0.256237i | ||||
\(489\) | 280.888 | − | 615.059i | 0.574413 | − | 1.25779i | ||||
\(490\) | −127.993 | − | 110.906i | −0.261210 | − | 0.226339i | ||||
\(491\) | −50.9531 | + | 354.387i | −0.103774 | + | 0.721765i | 0.869802 | + | 0.493401i | \(0.164247\pi\) |
−0.973576 | + | 0.228364i | \(0.926663\pi\) | |||||||
\(492\) | 56.6987 | − | 16.6482i | 0.115241 | − | 0.0338379i | ||||
\(493\) | −251.640 | + | 218.047i | −0.510425 | + | 0.442286i | ||||
\(494\) | 359.126 | + | 558.811i | 0.726976 | + | 1.13120i | ||||
\(495\) | −71.9769 | + | 46.2568i | −0.145408 | + | 0.0934480i | ||||
\(496\) | −381.972 | − | 440.819i | −0.770104 | − | 0.888748i | ||||
\(497\) | −250.145 | − | 851.917i | −0.503311 | − | 1.71412i | ||||
\(498\) | −255.982 | − | 36.8047i | −0.514020 | − | 0.0739050i | ||||
\(499\) | −118.244 | + | 136.461i | −0.236961 | + | 0.273468i | −0.861758 | − | 0.507319i | \(-0.830636\pi\) |
0.624797 | + | 0.780788i | \(0.285182\pi\) | |||||||
\(500\) | 129.688 | + | 59.2263i | 0.259375 | + | 0.118453i | ||||
\(501\) | −128.676 | − | 37.7828i | −0.256839 | − | 0.0754147i | ||||
\(502\) | −380.714 | + | 173.866i | −0.758394 | + | 0.346347i | ||||
\(503\) | −592.924 | + | 85.2496i | −1.17878 | + | 0.169482i | −0.703723 | − | 0.710475i | \(-0.748480\pi\) |
−0.475053 | + | 0.879957i | \(0.657571\pi\) | |||||||
\(504\) | −71.7037 | + | 111.573i | −0.142269 | + | 0.221375i | ||||
\(505\) | − | 394.817i | − | 0.781816i | ||||||
\(506\) | −775.068 | − | 8.42219i | −1.53175 | − | 0.0166446i | ||||
\(507\) | −172.363 | −0.339967 | ||||||||
\(508\) | −31.1380 | − | 20.0112i | −0.0612953 | − | 0.0393921i | ||||
\(509\) | −62.2063 | − | 432.654i | −0.122213 | − | 0.850008i | −0.955040 | − | 0.296476i | \(-0.904189\pi\) |
0.832828 | − | 0.553533i | \(-0.186721\pi\) | |||||||
\(510\) | 52.8884 | + | 115.810i | 0.103703 | + | 0.227078i | ||||
\(511\) | 249.728 | − | 850.495i | 0.488704 | − | 1.66437i | ||||
\(512\) | 33.4020 | − | 73.1402i | 0.0652383 | − | 0.142852i | ||||
\(513\) | 631.107 | + | 546.857i | 1.23023 | + | 1.06600i | ||||
\(514\) | 0.275092 | − | 1.91331i | 0.000535199 | − | 0.00372239i | ||||
\(515\) | 208.495 | − | 61.2198i | 0.404845 | − | 0.118873i | ||||
\(516\) | −101.140 | + | 87.6387i | −0.196009 | + | 0.169842i | ||||
\(517\) | −26.2568 | − | 40.8563i | −0.0507868 | − | 0.0790257i | ||||
\(518\) | −484.675 | + | 311.482i | −0.935667 | + | 0.601316i | ||||
\(519\) | −152.839 | − | 176.386i | −0.294487 | − | 0.339856i | ||||
\(520\) | 42.4369 | + | 144.527i | 0.0816094 | + | 0.277936i | ||||
\(521\) | 620.972 | + | 89.2823i | 1.19189 | + | 0.171367i | 0.709573 | − | 0.704632i | \(-0.248888\pi\) |
0.482312 | + | 0.875999i | \(0.339797\pi\) | |||||||
\(522\) | 137.377 | − | 158.541i | 0.263174 | − | 0.303719i | ||||
\(523\) | 491.356 | + | 224.395i | 0.939496 | + | 0.429053i | 0.825484 | − | 0.564426i | \(-0.190902\pi\) |
0.114012 | + | 0.993479i | \(0.463630\pi\) | |||||||
\(524\) | 112.356 | + | 32.9907i | 0.214420 | + | 0.0629593i | ||||
\(525\) | 397.314 | − | 181.447i | 0.756789 | − | 0.345614i | ||||
\(526\) | 643.301 | − | 92.4927i | 1.22301 | − | 0.175842i | ||||
\(527\) | 142.977 | − | 222.476i | 0.271303 | − | 0.422156i | ||||
\(528\) | 732.086i | 1.38653i | ||||||||
\(529\) | −528.875 | − | 11.4953i | −0.999764 | − | 0.0217302i | ||||
\(530\) | −1.84922 | −0.00348910 | ||||||||
\(531\) | 93.2980 | + | 59.9590i | 0.175703 | + | 0.112917i | ||||
\(532\) | −48.1463 | − | 334.865i | −0.0905005 | − | 0.629445i | ||||
\(533\) | 72.4299 | + | 158.599i | 0.135891 | + | 0.297560i | ||||
\(534\) | 130.319 | − | 443.825i | 0.244043 | − | 0.831133i | ||||
\(535\) | −93.4921 | + | 204.719i | −0.174752 | + | 0.382653i | ||||
\(536\) | −180.114 | − | 156.070i | −0.336034 | − | 0.291175i | ||||
\(537\) | 42.6458 | − | 296.608i | 0.0794149 | − | 0.552343i | ||||
\(538\) | 383.337 | − | 112.558i | 0.712521 | − | 0.209215i | ||||
\(539\) | 333.690 | − | 289.144i | 0.619091 | − | 0.536446i | ||||
\(540\) | −51.1718 | − | 79.6248i | −0.0947625 | − | 0.147453i | ||||
\(541\) | −373.953 | + | 240.325i | −0.691226 | + | 0.444224i | −0.838521 | − | 0.544869i | \(-0.816580\pi\) |
0.147295 | + | 0.989093i | \(0.452943\pi\) | |||||||
\(542\) | −310.551 | − | 358.395i | −0.572973 | − | 0.661246i | ||||
\(543\) | 4.29305 | + | 14.6208i | 0.00790617 | + | 0.0269259i | ||||
\(544\) | −180.116 | − | 25.8968i | −0.331096 | − | 0.0476044i | ||||
\(545\) | −304.522 | + | 351.437i | −0.558756 | + | 0.644839i | ||||
\(546\) | −484.082 | − | 221.073i | −0.886597 | − | 0.404895i | ||||
\(547\) | 724.075 | + | 212.608i | 1.32372 | + | 0.388679i | 0.865834 | − | 0.500331i | \(-0.166788\pi\) |
0.457886 | + | 0.889011i | \(0.348607\pi\) | |||||||
\(548\) | 76.8917 | − | 35.1153i | 0.140313 | − | 0.0640790i | ||||
\(549\) | 50.6623 | − | 7.28413i | 0.0922810 | − | 0.0132680i | ||||
\(550\) | −348.456 | + | 542.208i | −0.633556 | + | 0.985832i | ||||
\(551\) | − | 1070.57i | − | 1.94297i | ||||||
\(552\) | −3.94859 | + | 363.376i | −0.00715324 | + | 0.658290i | ||||
\(553\) | 639.901 | 1.15714 | ||||||||
\(554\) | 38.3916 | + | 24.6728i | 0.0692988 | + | 0.0445357i | ||||
\(555\) | 24.7984 | + | 172.477i | 0.0446819 | + | 0.310769i | ||||
\(556\) | 114.821 | + | 251.423i | 0.206513 | + | 0.452201i | ||||
\(557\) | −157.185 | + | 535.321i | −0.282198 | + | 0.961080i | 0.689388 | + | 0.724393i | \(0.257880\pi\) |
−0.971586 | + | 0.236687i | \(0.923938\pi\) | |||||||
\(558\) | −69.2154 | + | 151.560i | −0.124042 | + | 0.271614i | ||||
\(559\) | −298.421 | − | 258.583i | −0.533848 | − | 0.462582i | ||||
\(560\) | 60.0527 | − | 417.676i | 0.107237 | − | 0.745850i | ||||
\(561\) | −318.477 | + | 93.5134i | −0.567696 | + | 0.166691i | ||||
\(562\) | 871.372 | − | 755.048i | 1.55048 | − | 1.34350i | ||||
\(563\) | −276.458 | − | 430.178i | −0.491045 | − | 0.764081i | 0.503979 | − | 0.863716i | \(-0.331869\pi\) |
−0.995024 | + | 0.0996346i | \(0.968233\pi\) | |||||||
\(564\) | 9.57422 | − | 6.15298i | 0.0169756 | − | 0.0109095i | ||||
\(565\) | 71.4277 | + | 82.4320i | 0.126421 | + | 0.145897i | ||||
\(566\) | 124.314 | + | 423.374i | 0.219636 | + | 0.748011i | ||||
\(567\) | −470.377 | − | 67.6300i | −0.829590 | − | 0.119277i | ||||
\(568\) | 402.246 | − | 464.216i | 0.708179 | − | 0.817282i | ||||
\(569\) | −731.577 | − | 334.100i | −1.28572 | − | 0.587170i | −0.348961 | − | 0.937137i | \(-0.613466\pi\) |
−0.936762 | + | 0.349967i | \(0.886193\pi\) | |||||||
\(570\) | −392.768 | − | 115.327i | −0.689066 | − | 0.202328i | ||||
\(571\) | −245.192 | + | 111.976i | −0.429409 | + | 0.196104i | −0.618382 | − | 0.785878i | \(-0.712211\pi\) |
0.188973 | + | 0.981982i | \(0.439484\pi\) | |||||||
\(572\) | 194.290 | − | 27.9346i | 0.339667 | − | 0.0488367i | ||||
\(573\) | −244.652 | + | 380.685i | −0.426966 | + | 0.664372i | ||||
\(574\) | − | 355.256i | − | 0.618913i | ||||||
\(575\) | −241.821 | + | 367.440i | −0.420558 | + | 0.639027i | ||||
\(576\) | −74.5595 | −0.129444 | ||||||||
\(577\) | −206.933 | − | 132.988i | −0.358636 | − | 0.230481i | 0.348898 | − | 0.937161i | \(-0.386556\pi\) |
−0.707534 | + | 0.706679i | \(0.750192\pi\) | |||||||
\(578\) | 69.1456 | + | 480.918i | 0.119629 | + | 0.832039i | ||||
\(579\) | 342.872 | + | 750.785i | 0.592179 | + | 1.29669i | ||||
\(580\) | −34.1861 | + | 116.427i | −0.0589416 | + | 0.200737i | ||||
\(581\) | −161.441 | + | 353.507i | −0.277868 | + | 0.608445i | ||||
\(582\) | −560.654 | − | 485.810i | −0.963324 | − | 0.834725i | ||||
\(583\) | 0.686116 | − | 4.77204i | 0.00117687 | − | 0.00818532i | ||||
\(584\) | 588.381 | − | 172.764i | 1.00750 | − | 0.295829i | ||||
\(585\) | 44.7088 | − | 38.7404i | 0.0764253 | − | 0.0662229i | ||||
\(586\) | −231.504 | − | 360.227i | −0.395057 | − | 0.614721i | ||||
\(587\) | 180.679 | − | 116.115i | 0.307801 | − | 0.197812i | −0.377616 | − | 0.925962i | \(-0.623256\pi\) |
0.685417 | + | 0.728150i | \(0.259620\pi\) | |||||||
\(588\) | 67.7577 | + | 78.1965i | 0.115234 | + | 0.132987i | ||||
\(589\) | 239.557 | + | 815.857i | 0.406719 | + | 1.38516i | ||||
\(590\) | −254.028 | − | 36.5238i | −0.430557 | − | 0.0619047i | ||||
\(591\) | −63.3344 | + | 73.0918i | −0.107165 | + | 0.123675i | ||||
\(592\) | −498.479 | − | 227.648i | −0.842025 | − | 0.384540i | ||||
\(593\) | −450.879 | − | 132.390i | −0.760336 | − | 0.223255i | −0.121494 | − | 0.992592i | \(-0.538768\pi\) |
−0.638843 | + | 0.769337i | \(0.720587\pi\) | |||||||
\(594\) | 898.000 | − | 410.103i | 1.51179 | − | 0.690409i | ||||
\(595\) | 189.371 | − | 27.2275i | 0.318271 | − | 0.0457605i | ||||
\(596\) | 60.4768 | − | 94.1037i | 0.101471 | − | 0.157892i | ||||
\(597\) | 193.451i | 0.324039i | ||||||||
\(598\) | 531.280 | − | 70.5032i | 0.888428 | − | 0.117898i | ||||
\(599\) | −404.414 | −0.675149 | −0.337575 | − | 0.941299i | \(-0.609606\pi\) | ||||
−0.337575 | + | 0.941299i | \(0.609606\pi\) | |||||||
\(600\) | 254.204 | + | 163.367i | 0.423673 | + | 0.272278i | ||||
\(601\) | 49.5281 | + | 344.476i | 0.0824095 | + | 0.573171i | 0.988630 | + | 0.150366i | \(0.0480453\pi\) |
−0.906221 | + | 0.422805i | \(0.861046\pi\) | |||||||
\(602\) | 334.225 | + | 731.851i | 0.555192 | + | 1.21570i | ||||
\(603\) | −26.3704 | + | 89.8092i | −0.0437319 | + | 0.148937i | ||||
\(604\) | 40.7857 | − | 89.3082i | 0.0675260 | − | 0.147861i | ||||
\(605\) | 168.456 | + | 145.968i | 0.278439 | + | 0.241269i | ||||
\(606\) | −137.334 | + | 955.182i | −0.226624 | + | 1.57621i | ||||
\(607\) | 549.329 | − | 161.297i | 0.904989 | − | 0.265729i | 0.204059 | − | 0.978959i | \(-0.434587\pi\) |
0.700930 | + | 0.713230i | \(0.252768\pi\) | |||||||
\(608\) | 442.170 | − | 383.142i | 0.727253 | − | 0.630168i | ||||
\(609\) | 463.704 | + | 721.537i | 0.761418 | + | 1.18479i | ||||
\(610\) | −99.6401 | + | 64.0348i | −0.163344 | + | 0.104975i | ||||
\(611\) | 21.9902 | + | 25.3781i | 0.0359906 | + | 0.0415353i | ||||
\(612\) | 8.05433 | + | 27.4305i | 0.0131607 | + | 0.0448211i | ||||
\(613\) | −814.210 | − | 117.066i | −1.32824 | − | 0.190972i | −0.558592 | − | 0.829443i | \(-0.688658\pi\) |
−0.769646 | + | 0.638471i | \(0.779567\pi\) | |||||||
\(614\) | 209.010 | − | 241.210i | 0.340406 | − | 0.392850i | ||||
\(615\) | −97.7366 | − | 44.6348i | −0.158921 | − | 0.0725770i | ||||
\(616\) | 767.737 | + | 225.428i | 1.24633 | + | 0.365954i | ||||
\(617\) | 590.535 | − | 269.688i | 0.957107 | − | 0.437096i | 0.125274 | − | 0.992122i | \(-0.460019\pi\) |
0.831833 | + | 0.555026i | \(0.187292\pi\) | |||||||
\(618\) | −525.708 | + | 75.5855i | −0.850661 | + | 0.122307i | ||||
\(619\) | −644.150 | + | 1002.32i | −1.04063 | + | 1.61925i | −0.291812 | + | 0.956476i | \(0.594258\pi\) |
−0.748818 | + | 0.662776i | \(0.769378\pi\) | |||||||
\(620\) | − | 96.3760i | − | 0.155445i | ||||||
\(621\) | 615.873 | − | 273.212i | 0.991744 | − | 0.439954i | ||||
\(622\) | −625.246 | −1.00522 | ||||||||
\(623\) | −584.758 | − | 375.801i | −0.938616 | − | 0.603212i | ||||
\(624\) | −72.0378 | − | 501.034i | −0.115445 | − | 0.802939i | ||||
\(625\) | 90.9302 | + | 199.109i | 0.145488 | + | 0.318575i | ||||
\(626\) | −243.778 | + | 830.233i | −0.389422 | + | 1.32625i | ||||
\(627\) | 443.337 | − | 970.773i | 0.707077 | − | 1.54828i | ||||
\(628\) | 157.570 | + | 136.535i | 0.250907 | + | 0.217412i | ||||
\(629\) | 35.3595 | − | 245.931i | 0.0562154 | − | 0.390987i | ||||
\(630\) | −115.655 | + | 33.9592i | −0.183579 | + | 0.0539035i | ||||
\(631\) | −873.847 | + | 757.193i | −1.38486 | + | 1.19999i | −0.430038 | + | 0.902811i | \(0.641500\pi\) |
−0.954822 | + | 0.297178i | \(0.903955\pi\) | |||||||
\(632\) | 239.336 | + | 372.415i | 0.378697 | + | 0.589264i | ||||
\(633\) | 141.653 | − | 91.0346i | 0.223780 | − | 0.143815i | ||||
\(634\) | −169.541 | − | 195.660i | −0.267414 | − | 0.308613i | ||||
\(635\) | 18.9610 | + | 64.5753i | 0.0298599 | + | 0.101693i | ||||
\(636\) | 1.11827 | + | 0.160784i | 0.00175829 | + | 0.000252804i | ||||
\(637\) | −199.923 | + | 230.724i | −0.313851 | + | 0.362204i | ||||
\(638\) | −1151.25 | − | 525.756i | −1.80446 | − | 0.824069i | ||||
\(639\) | −231.469 | − | 67.9654i | −0.362236 | − | 0.106362i | ||||
\(640\) | 337.950 | − | 154.336i | 0.528046 | − | 0.241151i | ||||
\(641\) | 84.3366 | − | 12.1258i | 0.131570 | − | 0.0189170i | −0.0762150 | − | 0.997091i | \(-0.524284\pi\) |
0.207785 | + | 0.978174i | \(0.433374\pi\) | |||||||
\(642\) | 297.396 | − | 462.757i | 0.463234 | − | 0.720806i | ||||
\(643\) | − | 751.612i | − | 1.16891i | −0.811425 | − | 0.584457i | \(-0.801308\pi\) | ||
0.811425 | − | 0.584457i | \(-0.198692\pi\) | |||||||
\(644\) | −261.046 | − | 79.7410i | −0.405351 | − | 0.123821i | ||||
\(645\) | 243.337 | 0.377266 | ||||||||
\(646\) | 491.024 | + | 315.562i | 0.760099 | + | 0.488486i | ||||
\(647\) | 115.014 | + | 799.938i | 0.177765 | + | 1.23638i | 0.861920 | + | 0.507044i | \(0.169262\pi\) |
−0.684155 | + | 0.729336i | \(0.739829\pi\) | |||||||
\(648\) | −136.571 | − | 299.049i | −0.210758 | − | 0.461495i | ||||
\(649\) | 188.504 | − | 641.986i | 0.290453 | − | 0.989192i | ||||
\(650\) | 185.127 | − | 405.371i | 0.284811 | − | 0.623648i | ||||
\(651\) | −514.832 | − | 446.105i | −0.790833 | − | 0.685261i | ||||
\(652\) | −50.0029 | + | 347.778i | −0.0766915 | + | 0.533401i | ||||
\(653\) | 722.625 | − | 212.182i | 1.10662 | − | 0.324934i | 0.323142 | − | 0.946350i | \(-0.395261\pi\) |
0.783480 | + | 0.621417i | \(0.213443\pi\) | |||||||
\(654\) | 858.976 | − | 744.307i | 1.31342 | − | 1.13808i | ||||
\(655\) | −115.113 | − | 179.119i | −0.175745 | − | 0.273464i | ||||
\(656\) | 284.266 | − | 182.687i | 0.433333 | − | 0.278486i | ||||
\(657\) | −157.715 | − | 182.013i | −0.240054 | − | 0.277037i | ||||
\(658\) | −19.2763 | − | 65.6490i | −0.0292953 | − | 0.0997706i | ||||
\(659\) | −571.965 | − | 82.2361i | −0.867928 | − | 0.124789i | −0.306056 | − | 0.952013i | \(-0.599010\pi\) |
−0.561872 | + | 0.827224i | \(0.689919\pi\) | |||||||
\(660\) | −79.2132 | + | 91.4169i | −0.120020 | + | 0.138510i | ||||
\(661\) | 614.170 | + | 280.482i | 0.929153 | + | 0.424330i | 0.821726 | − | 0.569883i | \(-0.193011\pi\) |
0.107427 | + | 0.994213i | \(0.465739\pi\) | |||||||
\(662\) | 97.3167 | + | 28.5748i | 0.147004 | + | 0.0431643i | ||||
\(663\) | 208.762 | − | 95.3384i | 0.314875 | − | 0.143798i | ||||
\(664\) | −266.119 | + | 38.2621i | −0.400781 | + | 0.0576236i | ||||
\(665\) | −332.569 | + | 517.488i | −0.500104 | + | 0.778177i | ||||
\(666\) | 156.538i | 0.235042i | ||||||||
\(667\) | −781.758 | − | 367.335i | −1.17205 | − | 0.550726i | ||||
\(668\) | 69.6868 | 0.104322 | ||||||||
\(669\) | −456.123 | − | 293.133i | −0.681799 | − | 0.438166i | ||||
\(670\) | −30.8254 | − | 214.395i | −0.0460081 | − | 0.319993i | ||||
\(671\) | −128.277 | − | 280.887i | −0.191172 | − | 0.418609i | ||||
\(672\) | −132.058 | + | 449.747i | −0.196514 | + | 0.669266i | ||||
\(673\) | 486.469 | − | 1065.22i | 0.722836 | − | 1.58279i | −0.0870507 | − | 0.996204i | \(-0.527744\pi\) |
0.809887 | − | 0.586586i | \(-0.199529\pi\) | |||||||
\(674\) | −500.454 | − | 433.646i | −0.742514 | − | 0.643392i | ||||
\(675\) | 79.7305 | − | 554.538i | 0.118119 | − | 0.821538i | ||||
\(676\) | 85.9369 | − | 25.2334i | 0.127126 | − | 0.0373274i | ||||
\(677\) | 317.623 | − | 275.222i | 0.469163 | − | 0.406532i | −0.387934 | − | 0.921687i | \(-0.626811\pi\) |
0.857097 | + | 0.515155i | \(0.172266\pi\) | |||||||
\(678\) | −144.132 | − | 224.274i | −0.212584 | − | 0.330787i | ||||
\(679\) | −937.828 | + | 602.705i | −1.38119 | + | 0.887637i | ||||
\(680\) | 86.6749 | + | 100.028i | 0.127463 | + | 0.147100i | ||||
\(681\) | 75.1179 | + | 255.828i | 0.110305 | + | 0.375665i | ||||
\(682\) | 994.981 | + | 143.057i | 1.45892 | + | 0.209761i | ||||
\(683\) | −127.857 | + | 147.555i | −0.187200 | + | 0.216040i | −0.841590 | − | 0.540117i | \(-0.818380\pi\) |
0.654390 | + | 0.756157i | \(0.272925\pi\) | |||||||
\(684\) | −83.6129 | − | 38.1848i | −0.122241 | − | 0.0558257i | ||||
\(685\) | −147.474 | − | 43.3024i | −0.215291 | − | 0.0632151i | ||||
\(686\) | −350.531 | + | 160.082i | −0.510978 | + | 0.233356i | ||||
\(687\) | 624.772 | − | 89.8287i | 0.909421 | − | 0.130755i | ||||
\(688\) | −413.736 | + | 643.786i | −0.601360 | + | 0.935735i | ||||
\(689\) | 3.33347i | 0.00483812i | ||||||||
\(690\) | −218.981 | + | 247.237i | −0.317363 | + | 0.358315i | ||||
\(691\) | −563.653 | −0.815706 | −0.407853 | − | 0.913048i | \(-0.633722\pi\) | ||||
−0.407853 | + | 0.913048i | \(0.633722\pi\) | |||||||
\(692\) | 102.025 | + | 65.5673i | 0.147435 | + | 0.0947504i | ||||
\(693\) | −44.7228 | − | 311.054i | −0.0645351 | − | 0.448851i | ||||
\(694\) | 452.675 | + | 991.220i | 0.652270 | + | 1.42827i | ||||
\(695\) | 141.592 | − | 482.217i | 0.203729 | − | 0.693837i | ||||
\(696\) | −246.491 | + | 539.740i | −0.354154 | + | 0.775488i | ||||
\(697\) | 115.785 | + | 100.328i | 0.166119 | + | 0.143943i | ||||
\(698\) | 147.372 | − | 1025.00i | 0.211135 | − | 1.46848i | ||||
\(699\) | 298.317 | − | 87.5938i | 0.426777 | − | 0.125313i | ||||
\(700\) | −171.530 | + | 148.631i | −0.245043 | + | 0.212331i | ||||
\(701\) | 519.975 | + | 809.097i | 0.741761 | + | 1.15420i | 0.982976 | + | 0.183732i | \(0.0588177\pi\) |
−0.241215 | + | 0.970472i | \(0.577546\pi\) | |||||||
\(702\) | −574.231 | + | 369.036i | −0.817993 | + | 0.525692i | ||||
\(703\) | 523.143 | + | 603.739i | 0.744158 | + | 0.858804i | ||||
\(704\) | 126.730 | + | 431.601i | 0.180014 | + | 0.613070i | ||||
\(705\) | −20.4830 | − | 2.94501i | −0.0290539 | − | 0.00417732i | ||||
\(706\) | −962.487 | + | 1110.77i | −1.36330 | + | 1.57333i | ||||
\(707\) | 1319.09 | + | 602.408i | 1.86575 | + | 0.852062i | ||||
\(708\) | 150.442 | + | 44.1738i | 0.212489 | + | 0.0623924i | ||||
\(709\) | 1255.30 | − | 573.277i | 1.77052 | − | 0.808571i | 0.789747 | − | 0.613432i | \(-0.210212\pi\) |
0.980776 | − | 0.195138i | \(-0.0625156\pi\) | |||||||
\(710\) | 552.570 | − | 79.4476i | 0.778268 | − | 0.111898i | ||||
\(711\) | 93.9976 | − | 146.263i | 0.132205 | − | 0.205715i | ||||
\(712\) | − | 480.879i | − | 0.675392i | ||||||
\(713\) | 677.955 | + | 105.006i | 0.950848 | + | 0.147274i | ||||
\(714\) | −467.618 | −0.654927 | ||||||||
\(715\) | −300.248 | − | 192.958i | −0.419927 | − | 0.269871i | ||||
\(716\) | 22.1600 | + | 154.126i | 0.0309497 | + | 0.215260i | ||||
\(717\) | −188.681 | − | 413.153i | −0.263153 | − | 0.576224i | ||||
\(718\) | −56.7926 | + | 193.418i | −0.0790983 | + | 0.269384i | ||||
\(719\) | 20.1700 | − | 44.1661i | 0.0280529 | − | 0.0614272i | −0.895087 | − | 0.445892i | \(-0.852887\pi\) |
0.923140 | + | 0.384465i | \(0.125614\pi\) | |||||||
\(720\) | −86.6475 | − | 75.0805i | −0.120344 | − | 0.104278i | ||||
\(721\) | −113.584 | + | 789.994i | −0.157537 | + | 1.09569i | ||||
\(722\) | −1000.76 | + | 293.851i | −1.38610 | + | 0.406996i | ||||
\(723\) | −366.215 | + | 317.327i | −0.506522 | + | 0.438904i | ||||
\(724\) | −4.28086 | − | 6.66115i | −0.00591279 | − | 0.00920048i | ||||
\(725\) | −604.217 | + | 388.307i | −0.833403 | + | 0.535595i | ||||
\(726\) | −356.772 | − | 411.736i | −0.491421 | − | 0.567130i | ||||
\(727\) | 82.9224 | + | 282.408i | 0.114061 | + | 0.388456i | 0.996659 | − | 0.0816718i | \(-0.0260259\pi\) |
−0.882598 | + | 0.470128i | \(0.844208\pi\) | |||||||
\(728\) | −547.616 | − | 78.7353i | −0.752220 | − | 0.108153i | ||||
\(729\) | −527.464 | + | 608.725i | −0.723544 | + | 0.835014i | ||||
\(730\) | 506.957 | + | 231.519i | 0.694461 | + | 0.317150i | ||||
\(731\) | −332.913 | − | 97.7521i | −0.455422 | − | 0.133724i | ||||
\(732\) | 65.8227 | − | 30.0602i | 0.0899217 | − | 0.0410659i | ||||
\(733\) | 120.738 | − | 17.3595i | 0.164717 | − | 0.0236828i | −0.0594627 | − | 0.998231i | \(-0.518939\pi\) |
0.224180 | + | 0.974548i | \(0.428030\pi\) | |||||||
\(734\) | 453.436 | − | 705.560i | 0.617760 | − | 0.961253i | ||||
\(735\) | − | 188.135i | − | 0.255966i | ||||||
\(736\) | −128.062 | − | 454.346i | −0.173998 | − | 0.617318i | ||||
\(737\) | 564.699 | 0.766213 | ||||||||
\(738\) | −81.2014 | − | 52.1850i | −0.110029 | − | 0.0707114i | ||||
\(739\) | 35.1462 | + | 244.448i | 0.0475592 | + | 0.330781i | 0.999686 | + | 0.0250767i | \(0.00798298\pi\) |
−0.952126 | + | 0.305705i | \(0.901108\pi\) | |||||||
\(740\) | −37.6140 | − | 82.3633i | −0.0508298 | − | 0.111302i | ||||
\(741\) | −207.892 | + | 708.015i | −0.280556 | + | 0.955486i | ||||
\(742\) | 2.82152 | − | 6.17828i | 0.00380259 | − | 0.00832652i | ||||
\(743\) | 742.430 | + | 643.319i | 0.999232 | + | 0.865840i | 0.990964 | − | 0.134126i | \(-0.0428227\pi\) |
0.00826797 | + | 0.999966i | \(0.497368\pi\) | |||||||
\(744\) | 67.0695 | − | 466.478i | 0.0901471 | − | 0.626987i | ||||
\(745\) | −195.156 | + | 57.3030i | −0.261955 | + | 0.0769168i | ||||
\(746\) | 192.992 | − | 167.228i | 0.258702 | − | 0.224166i | ||||
\(747\) | 57.0868 | + | 88.8288i | 0.0764215 | + | 0.118914i | ||||
\(748\) | 145.097 | − | 93.2479i | 0.193979 | − | 0.124663i | ||||
\(749\) | −541.320 | − | 624.717i | −0.722724 | − | 0.834068i | ||||
\(750\) | 178.511 | + | 607.951i | 0.238014 | + | 0.810601i | ||||
\(751\) | 897.905 | + | 129.099i | 1.19561 | + | 0.171903i | 0.711234 | − | 0.702956i | \(-0.248137\pi\) |
0.484378 | + | 0.874859i | \(0.339046\pi\) | |||||||
\(752\) | 42.6180 | − | 49.1838i | 0.0566728 | − | 0.0654039i | ||||
\(753\) | −422.923 | − | 193.142i | −0.561651 | − | 0.256497i | ||||
\(754\) | 839.639 | + | 246.540i | 1.11358 | + | 0.326977i | ||||
\(755\) | −162.387 | + | 74.1597i | −0.215082 | + | 0.0982248i | ||||
\(756\) | 344.105 | − | 49.4748i | 0.455165 | − | 0.0654429i | ||||
\(757\) | 639.441 | − | 994.989i | 0.844704 | − | 1.31438i | −0.102820 | − | 0.994700i | \(-0.532787\pi\) |
0.947524 | − | 0.319685i | \(-0.103577\pi\) | |||||||
\(758\) | − | 326.224i | − | 0.430374i | ||||||
\(759\) | −556.763 | − | 656.826i | −0.733549 | − | 0.865384i | ||||
\(760\) | −425.559 | −0.559946 | ||||||||
\(761\) | 242.406 | + | 155.785i | 0.318536 | + | 0.204711i | 0.690132 | − | 0.723684i | \(-0.257553\pi\) |
−0.371595 | + | 0.928395i | \(0.621189\pi\) | |||||||
\(762\) | −23.4104 | − | 162.823i | −0.0307223 | − | 0.213678i | ||||
\(763\) | −709.519 | − | 1553.63i | −0.929908 | − | 2.03621i | ||||
\(764\) | 66.2475 | − | 225.618i | 0.0867114 | − | 0.295312i | ||||
\(765\) | 21.5941 | − | 47.2845i | 0.0282276 | − | 0.0618098i | ||||
\(766\) | −601.546 | − | 521.243i | −0.785309 | − | 0.680474i | ||||
\(767\) | −65.8389 | + | 457.919i | −0.0858395 | + | 0.597027i | ||||
\(768\) | −567.799 | + | 166.721i | −0.739321 | + | 0.217084i | ||||
\(769\) | −369.057 | + | 319.790i | −0.479918 | + | 0.415852i | −0.860934 | − | 0.508717i | \(-0.830120\pi\) |
0.381015 | + | 0.924569i | \(0.375574\pi\) | |||||||
\(770\) | 393.158 | + | 611.766i | 0.510595 | + | 0.794502i | ||||
\(771\) | 1.80642 | − | 1.16091i | 0.00234295 | − | 0.00150572i | ||||
\(772\) | −280.861 | − | 324.131i | −0.363810 | − | 0.419859i | ||||
\(773\) | −326.783 | − | 1112.92i | −0.422746 | − | 1.43974i | −0.845734 | − | 0.533605i | \(-0.820837\pi\) |
0.422988 | − | 0.906135i | \(-0.360981\pi\) | |||||||
\(774\) | 216.376 | + | 31.1102i | 0.279556 | + | 0.0401940i | ||||
\(775\) | 373.569 | − | 431.122i | 0.482024 | − | 0.556286i | ||||
\(776\) | −701.534 | − | 320.380i | −0.904039 | − | 0.412861i | ||||
\(777\) | −614.085 | − | 180.312i | −0.790328 | − | 0.232061i | ||||
\(778\) | −858.316 | + | 391.980i | −1.10323 | + | 0.503830i | ||||
\(779\) | −487.580 | + | 70.1034i | −0.625905 | + | 0.0899915i | ||||
\(780\) | 45.2174 | − | 70.3597i | 0.0579711 | − | 0.0902048i | ||||
\(781\) | 1455.42i | 1.86353i | ||||||||
\(782\) | 398.910 | − | 250.282i | 0.510116 | − | 0.320053i | ||||
\(783\) | 1100.12 | 1.40500 | ||||||||
\(784\) | 497.742 | + | 319.879i | 0.634874 | + | 0.408009i | ||||
\(785\) | −53.9517 | − | 375.242i | −0.0687283 | − | 0.478015i | ||||
\(786\) | 216.187 | + | 473.384i | 0.275048 | + | 0.602270i | ||||
\(787\) | 231.686 | − | 789.051i | 0.294392 | − | 1.00261i | −0.670925 | − | 0.741525i | \(-0.734103\pi\) |
0.965317 | − | 0.261081i | \(-0.0840789\pi\) | |||||||
\(788\) | 20.8769 | − | 45.7141i | 0.0264936 | − | 0.0580128i | ||||
\(789\) | 545.630 | + | 472.791i | 0.691546 | + | 0.599228i | ||||
\(790\) | −57.2582 | + | 398.240i | −0.0724788 | + | 0.504101i | ||||
\(791\) | −384.390 | + | 112.867i | −0.485955 | + | 0.142689i | ||||
\(792\) | 164.302 | − | 142.369i | 0.207452 | − | 0.179759i | ||||
\(793\) | 115.431 | + | 179.614i | 0.145563 | + | 0.226500i | ||||
\(794\) | 1231.42 | − | 791.386i | 1.55091 | − | 0.996708i | ||||
\(795\) | −1.34524 | − | 1.55249i | −0.00169213 | − | 0.00195282i | ||||
\(796\) | −28.3205 | − | 96.4509i | −0.0355786 | − | 0.121169i | ||||
\(797\) | −1116.35 | − | 160.508i | −1.40070 | − | 0.201390i | −0.599779 | − | 0.800166i | \(-0.704745\pi\) |
−0.800917 | + | 0.598776i | \(0.795654\pi\) | |||||||
\(798\) | 984.590 | − | 1136.28i | 1.23382 | − | 1.42391i | ||||
\(799\) | 26.8401 | + | 12.2575i | 0.0335921 | + | 0.0153410i | ||||
\(800\) | −376.619 | − | 110.585i | −0.470774 | − | 0.138232i | ||||
\(801\) | −171.795 | + | 78.4561i | −0.214476 | + | 0.0979477i | ||||
\(802\) | −1184.79 | + | 170.346i | −1.47729 | + | 0.212402i | ||||
\(803\) | −785.547 | + | 1222.33i | −0.978265 | + | 1.52221i | ||||
\(804\) | 132.331i | 0.164591i | ||||||||
\(805\) | 263.770 | + | 420.410i | 0.327665 | + | 0.522248i | ||||
\(806\) | −695.035 | −0.862327 | ||||||||
\(807\) | 373.360 | + | 239.944i | 0.462652 | + | 0.297328i | ||||
\(808\) | 142.773 | + | 993.006i | 0.176699 | + | 1.22897i | ||||
\(809\) | 183.650 | + | 402.137i | 0.227008 | + | 0.497079i | 0.988523 | − | 0.151068i | \(-0.0482713\pi\) |
−0.761515 | + | 0.648147i | \(0.775544\pi\) | |||||||
\(810\) | 84.1786 | − | 286.686i | 0.103924 | − | 0.353933i | ||||
\(811\) | 209.669 | − | 459.112i | 0.258532 | − | 0.566106i | −0.735206 | − | 0.677844i | \(-0.762914\pi\) |
0.993738 | + | 0.111738i | \(0.0356417\pi\) | |||||||
\(812\) | −336.824 | − | 291.860i | −0.414808 | − | 0.359433i | ||||
\(813\) | 74.9717 | − | 521.440i | 0.0922161 | − | 0.641377i | ||||
\(814\) | 906.148 | − | 266.069i | 1.11320 | − | 0.326866i | ||||
\(815\) | 482.818 | − | 418.364i | 0.592414 | − | 0.513330i | ||||
\(816\) | −240.468 | − | 374.175i | −0.294691 | − | 0.458548i | ||||
\(817\) | 938.494 | − | 603.134i | 1.14871 | − | 0.738230i | ||||
\(818\) | 1064.89 | + | 1228.95i | 1.30182 | + | 1.50238i | ||||
\(819\) | 61.2160 | + | 208.482i | 0.0747448 | + | 0.254557i | ||||
\(820\) | 55.2640 | + | 7.94576i | 0.0673951 | + | 0.00968995i | ||||
\(821\) | 300.405 | − | 346.686i | 0.365901 | − | 0.422272i | −0.542707 | − | 0.839922i | \(-0.682601\pi\) |
0.908608 | + | 0.417650i | \(0.137146\pi\) | |||||||
\(822\) | 341.723 | + | 156.059i | 0.415721 | + | 0.189853i | ||||
\(823\) | 571.908 | + | 167.927i | 0.694907 | + | 0.204043i | 0.610065 | − | 0.792351i | \(-0.291143\pi\) |
0.0848417 | + | 0.996394i | \(0.472962\pi\) | |||||||
\(824\) | −502.250 | + | 229.370i | −0.609526 | + | 0.278361i | ||||
\(825\) | −708.693 | + | 101.895i | −0.859022 | + | 0.123509i | ||||
\(826\) | 509.620 | − | 792.985i | 0.616974 | − | 0.960030i | ||||
\(827\) | − | 168.555i | − | 0.203815i | −0.994794 | − | 0.101908i | \(-0.967505\pi\) | ||
0.994794 | − | 0.101908i | \(-0.0324946\pi\) | |||||||
\(828\) | −56.5726 | + | 47.9542i | −0.0683244 | + | 0.0579157i | ||||
\(829\) | 208.569 | 0.251591 | 0.125795 | − | 0.992056i | \(-0.459852\pi\) | ||||
0.125795 | + | 0.992056i | \(0.459852\pi\) | |||||||
\(830\) | −205.558 | − | 132.104i | −0.247660 | − | 0.159161i | ||||
\(831\) | 7.21476 | + | 50.1798i | 0.00868202 | + | 0.0603848i | ||||
\(832\) | −129.203 | − | 282.915i | −0.155292 | − | 0.340042i | ||||
\(833\) | −75.5769 | + | 257.391i | −0.0907286 | + | 0.308993i | ||||
\(834\) | −510.289 | + | 1117.38i | −0.611857 | + | 1.33978i | ||||
\(835\) | −95.7610 | − | 82.9774i | −0.114684 | − | 0.0993741i | ||||
\(836\) | −78.9216 | + | 548.912i | −0.0944038 | + | 0.656593i | ||||
\(837\) | −838.370 | + | 246.168i | −1.00164 | + | 0.294107i | ||||
\(838\) | −840.080 | + | 727.933i | −1.00248 | + | 0.868655i | ||||
\(839\) | −554.722 | − | 863.164i | −0.661170 | − | 1.02880i | −0.996242 | − | 0.0866088i | \(-0.972397\pi\) |
0.335072 | − | 0.942193i | \(-0.391239\pi\) | |||||||
\(840\) | 286.815 | − | 184.325i | 0.341447 | − | 0.219434i | ||||
\(841\) | −372.850 | − | 430.292i | −0.443342 | − | 0.511644i | ||||
\(842\) | 55.0391 | + | 187.446i | 0.0653671 | + | 0.222620i | ||||
\(843\) | 1267.78 | + | 182.280i | 1.50390 | + | 0.216228i | ||||
\(844\) | −57.2981 | + | 66.1255i | −0.0678888 | + | 0.0783478i | ||||
\(845\) | −148.137 | − | 67.6520i | −0.175310 | − | 0.0800615i | ||||
\(846\) | −17.8371 | − | 5.23744i | −0.0210840 | − | 0.00619082i | ||||
\(847\) | −744.708 | + | 340.097i | −0.879230 | + | 0.401531i | ||||
\(848\) | 6.39463 | − | 0.919409i | 0.00754084 | − | 0.00108421i | ||||
\(849\) | −265.005 | + | 412.356i | −0.312138 | + | 0.485696i | ||||
\(850\) | − | 391.584i | − | 0.460687i | ||||||
\(851\) | 620.365 | − | 174.857i | 0.728983 | − | 0.205472i | ||||
\(852\) | −341.062 | −0.400307 | ||||||||
\(853\) | −249.452 | − | 160.313i | −0.292441 | − | 0.187940i | 0.386191 | − | 0.922419i | \(-0.373790\pi\) |
−0.678632 | + | 0.734478i | \(0.737427\pi\) | |||||||
\(854\) | −61.9113 | − | 430.603i | −0.0724957 | − | 0.504219i | ||||
\(855\) | 69.4305 | + | 152.032i | 0.0812053 | + | 0.177815i | ||||
\(856\) | 161.113 | − | 548.699i | 0.188216 | − | 0.641003i | ||||
\(857\) | −637.442 | + | 1395.80i | −0.743806 | + | 1.62871i | 0.0333850 | + | 0.999443i | \(0.489371\pi\) |
−0.777191 | + | 0.629265i | \(0.783356\pi\) | |||||||
\(858\) | 659.272 | + | 571.262i | 0.768382 | + | 0.665807i | ||||
\(859\) | −50.8828 | + | 353.898i | −0.0592349 | + | 0.411988i | 0.938532 | + | 0.345193i | \(0.112186\pi\) |
−0.997767 | + | 0.0667951i | \(0.978723\pi\) | |||||||
\(860\) | −121.323 | + | 35.6236i | −0.141073 | + | 0.0414228i | ||||
\(861\) | 298.251 | − | 258.436i | 0.346401 | − | 0.300158i | ||||
\(862\) | −332.673 | − | 517.650i | −0.385932 | − | 0.600522i | ||||
\(863\) | −647.503 | + | 416.125i | −0.750293 | + | 0.482184i | −0.859055 | − | 0.511884i | \(-0.828948\pi\) |
0.108761 | + | 0.994068i | \(0.465312\pi\) | |||||||
\(864\) | 393.714 | + | 454.371i | 0.455688 | + | 0.525892i | ||||
\(865\) | −62.1264 | − | 211.583i | −0.0718224 | − | 0.244605i | ||||
\(866\) | 571.105 | + | 82.1125i | 0.659474 | + | 0.0948181i | ||||
\(867\) | −353.449 | + | 407.901i | −0.407668 | + | 0.470474i | ||||
\(868\) | 321.993 | + | 147.049i | 0.370960 | + | 0.169412i | ||||
\(869\) | −1006.44 | − | 295.517i | −1.15816 | − | 0.340066i | ||||
\(870\) | −490.538 | + | 224.021i | −0.563837 | + | 0.257496i | ||||
\(871\) | −386.476 | + | 55.5669i | −0.443715 | + | 0.0637966i | ||||
\(872\) | 638.819 | − | 994.022i | 0.732591 | − | 1.13993i | ||||
\(873\) | 302.895i | 0.346958i | ||||||||
\(874\) | −231.757 | + | 1496.30i | −0.265169 | + | 1.71202i | ||||
\(875\) | 952.151 | 1.08817 | ||||||||
\(876\) | −286.440 | − | 184.084i | −0.326987 | − | 0.210142i | ||||
\(877\) | −64.7106 | − | 450.072i | −0.0737863 | − | 0.513195i | −0.992877 | − | 0.119148i | \(-0.961984\pi\) |
0.919090 | − | 0.394047i | \(-0.128925\pi\) | |||||||
\(878\) | −591.054 | − | 1294.23i | −0.673182 | − | 1.47406i | ||||
\(879\) | 134.014 | − | 456.408i | 0.152461 | − | 0.519236i | ||||
\(880\) | −287.341 | + | 629.190i | −0.326524 | + | 0.714988i | ||||
\(881\) | −41.9127 | − | 36.3175i | −0.0475740 | − | 0.0412231i | 0.630749 | − | 0.775987i | \(-0.282748\pi\) |
−0.678323 | + | 0.734764i | \(0.737293\pi\) | |||||||
\(882\) | 24.0528 | − | 167.291i | 0.0272707 | − | 0.189672i | ||||
\(883\) | 242.195 | − | 71.1147i | 0.274286 | − | 0.0805376i | −0.141697 | − | 0.989910i | \(-0.545256\pi\) |
0.415983 | + | 0.909372i | \(0.363438\pi\) | |||||||
\(884\) | −90.1274 | + | 78.0958i | −0.101954 | + | 0.0883437i | ||||
\(885\) | −154.133 | − | 239.836i | −0.174162 | − | 0.271002i | ||||
\(886\) | 1130.04 | − | 726.235i | 1.27544 | − | 0.819678i | ||||
\(887\) | 405.048 | + | 467.450i | 0.456649 | + | 0.527002i | 0.936650 | − | 0.350267i | \(-0.113909\pi\) |
−0.480001 | + | 0.877268i | \(0.659364\pi\) | |||||||
\(888\) | −124.741 | − | 424.830i | −0.140475 | − | 0.478412i | ||||
\(889\) | −244.678 | − | 35.1793i | −0.275228 | − | 0.0395718i | ||||
\(890\) | 286.202 | − | 330.295i | 0.321576 | − | 0.371118i | ||||
\(891\) | 708.579 | + | 323.597i | 0.795263 | + | 0.363184i | ||||
\(892\) | 270.328 | + | 79.3754i | 0.303058 | + | 0.0889859i | ||||
\(893\) | −86.2978 | + | 39.4109i | −0.0966381 | + | 0.0441331i | ||||
\(894\) | 492.074 | − | 70.7496i | 0.550419 | − | 0.0791383i | ||||
\(895\) | 153.070 | − | 238.181i | 0.171028 | − | 0.266124i | ||||
\(896\) | 1364.58i | 1.52297i | ||||||||
\(897\) | 445.677 | + | 394.741i | 0.496853 | + | 0.440068i | ||||
\(898\) | −68.3981 | −0.0761671 | ||||||||
\(899\) | 942.350 | + | 605.612i | 1.04822 | + | 0.673650i | ||||
\(900\) | 8.77622 | + | 61.0399i | 0.00975135 | + | 0.0678221i | ||||
\(901\) | 1.21679 | + | 2.66440i | 0.00135049 | + | 0.00295716i | ||||
\(902\) | −164.063 | + | 558.748i | −0.181888 | + | 0.619455i | ||||
\(903\) | −371.281 | + | 812.991i | −0.411163 | + | 0.900322i | ||||
\(904\) | −209.457 | − | 181.496i | −0.231700 | − | 0.200770i | ||||
\(905\) | −2.04896 | + | 14.2508i | −0.00226404 | + | 0.0157468i | ||||
\(906\) | 418.660 | − | 122.930i | 0.462097 | − | 0.135684i | ||||
\(907\) | −1002.05 | + | 868.283i | −1.10480 | + | 0.957314i | −0.999311 | − | 0.0371071i | \(-0.988186\pi\) |
−0.105487 | + | 0.994421i | \(0.533640\pi\) | |||||||
\(908\) | −74.9046 | − | 116.554i | −0.0824941 | − | 0.128363i | ||||
\(909\) | 331.459 | − | 213.016i | 0.364642 | − | 0.234341i | ||||
\(910\) | −329.273 | − | 380.001i | −0.361839 | − | 0.417584i | ||||
\(911\) | −288.215 | − | 981.570i | −0.316372 | − | 1.07746i | −0.952160 | − | 0.305600i | \(-0.901143\pi\) |
0.635788 | − | 0.771864i | \(-0.280675\pi\) | |||||||
\(912\) | 1415.53 | + | 203.523i | 1.55212 | + | 0.223161i | ||||
\(913\) | 417.171 | − | 481.441i | 0.456923 | − | 0.527317i | ||||
\(914\) | −382.592 | − | 174.724i | −0.418591 | − | 0.191164i | ||||
\(915\) | −126.244 | − | 37.0687i | −0.137972 | − | 0.0405122i | ||||
\(916\) | −298.349 | + | 136.251i | −0.325708 | + | 0.148746i | ||||
\(917\) | 774.077 | − | 111.295i | 0.844141 | − | 0.121369i | ||||
\(918\) | −324.270 | + | 504.573i | −0.353235 | + | 0.549644i | ||||
\(919\) | − | 96.2448i | − | 0.104728i | −0.998628 | − | 0.0523639i | \(-0.983324\pi\) | ||
0.998628 | − | 0.0523639i | \(-0.0166756\pi\) | |||||||
\(920\) | −146.018 | + | 310.753i | −0.158715 | + | 0.337775i | ||||
\(921\) | 354.552 | 0.384964 | ||||||||
\(922\) | −555.355 | − | 356.905i | −0.602337 | − | 0.387098i | ||||
\(923\) | −143.215 | − | 996.080i | −0.155162 | − | 1.07918i | ||||
\(924\) | −184.562 | − | 404.135i | −0.199743 | − | 0.437376i | ||||
\(925\) | 150.993 | − | 514.236i | 0.163236 | − | 0.555931i | ||||
\(926\) | 127.840 | − | 279.930i | 0.138056 | − | 0.302300i | ||||
\(927\) | 163.885 | + | 142.008i | 0.176791 | + | 0.153190i | ||||
\(928\) | 109.692 | − | 762.923i | 0.118202 | − | 0.822115i | ||||
\(929\) | −843.111 | + | 247.560i | −0.907547 | + | 0.266480i | −0.702008 | − | 0.712169i | \(-0.747713\pi\) |
−0.205539 | + | 0.978649i | \(0.565895\pi\) | |||||||
\(930\) | 323.699 | − | 280.486i | 0.348063 | − | 0.301598i | ||||
\(931\) | −466.312 | − | 725.595i | −0.500872 | − | 0.779372i | ||||
\(932\) | −135.912 | + | 87.3451i | −0.145828 | + | 0.0937179i | ||||
\(933\) | −454.844 | − | 524.919i | −0.487507 | − | 0.562614i | ||||
\(934\) | −399.707 | − | 1361.28i | −0.427952 | − | 1.45747i | ||||
\(935\) | −310.419 | − | 44.6314i | −0.331998 | − | 0.0477342i | ||||
\(936\) | −98.4382 | + | 113.604i | −0.105169 | + | 0.121371i | ||||
\(937\) | −800.648 | − | 365.644i | −0.854481 | − | 0.390228i | −0.0604978 | − | 0.998168i | \(-0.519269\pi\) |
−0.793983 | + | 0.607940i | \(0.791996\pi\) | |||||||
\(938\) | 763.331 | + | 224.134i | 0.813786 | + | 0.238949i | ||||
\(939\) | −874.352 | + | 399.303i | −0.931153 | + | 0.425243i | ||||
\(940\) | 10.6436 | − | 1.53031i | 0.0113229 | − | 0.00162799i | ||||
\(941\) | 567.625 | − | 883.241i | 0.603214 | − | 0.938620i | −0.396573 | − | 0.918003i | \(-0.629801\pi\) |
0.999787 | − | 0.0206168i | \(-0.00656301\pi\) | |||||||
\(942\) | 926.591i | 0.983643i | ||||||||
\(943\) | −116.107 | + | 380.096i | −0.123125 | + | 0.403071i | ||||
\(944\) | 896.592 | 0.949780 | ||||||||
\(945\) | −531.767 | − | 341.746i | −0.562716 | − | 0.361636i | ||||
\(946\) | −187.690 | − | 1305.41i | −0.198404 | − | 1.37993i | ||||
\(947\) | 424.162 | + | 928.786i | 0.447901 | + | 0.980766i | 0.990080 | + | 0.140504i | \(0.0448721\pi\) |
−0.542179 | + | 0.840263i | \(0.682401\pi\) | |||||||
\(948\) | 69.2512 | − | 235.848i | 0.0730498 | − | 0.248785i | ||||
\(949\) | 417.344 | − | 913.856i | 0.439772 | − | 0.962967i | ||||
\(950\) | 951.521 | + | 824.498i | 1.00160 | + | 0.867892i | ||||
\(951\) | 40.9297 | − | 284.672i | 0.0430386 | − | 0.299340i | ||||
\(952\) | −466.443 | + | 136.960i | −0.489961 | + | 0.143866i | ||||
\(953\) | −1199.36 | + | 1039.25i | −1.25851 | + | 1.09050i | −0.266567 | + | 0.963816i | \(0.585889\pi\) |
−0.991943 | + | 0.126689i | \(0.959565\pi\) | |||||||
\(954\) | −0.997713 | − | 1.55247i | −0.00104582 | − | 0.00162733i | ||||
\(955\) | −359.683 | + | 231.154i | −0.376632 | + | 0.242046i | ||||
\(956\) | 154.557 | + | 178.368i | 0.161670 | + | 0.186577i | ||||
\(957\) | −396.097 | − | 1348.98i | −0.413895 | − | 1.40960i | ||||
\(958\) | −949.786 | − | 136.559i | −0.991426 | − | 0.142546i | ||||
\(959\) | 369.689 | − | 426.643i | 0.385494 | − | 0.444883i | ||||
\(960\) | 174.346 | + | 79.6210i | 0.181610 | + | 0.0829386i | ||||
\(961\) | 68.4164 | + | 20.0889i | 0.0711929 | + | 0.0209041i | ||||
\(962\) | −593.980 | + | 271.261i | −0.617442 | + | 0.281977i | ||||
\(963\) | −222.309 | + | 31.9633i | −0.230851 | + | 0.0331913i | ||||
\(964\) | 136.132 | − | 211.826i | 0.141216 | − | 0.219736i | ||||
\(965\) | 779.837i | 0.808121i | ||||||||
\(966\) | −491.904 | − | 1108.85i | −0.509218 | − | 1.14788i | ||||
\(967\) | 193.353 | 0.199952 | 0.0999759 | − | 0.994990i | \(-0.468123\pi\) | ||||
0.0999759 | + | 0.994990i | \(0.468123\pi\) | |||||||
\(968\) | −476.468 | − | 306.208i | −0.492219 | − | 0.316330i | ||||
\(969\) | 92.2760 | + | 641.794i | 0.0952281 | + | 0.662326i | ||||
\(970\) | −291.175 | − | 637.583i | −0.300180 | − | 0.657302i | ||||
\(971\) | −400.192 | + | 1362.93i | −0.412144 | + | 1.40363i | 0.448207 | + | 0.893930i | \(0.352063\pi\) |
−0.860351 | + | 0.509703i | \(0.829755\pi\) | |||||||
\(972\) | 70.1649 | − | 153.640i | 0.0721861 | − | 0.158066i | ||||
\(973\) | 1395.05 | + | 1208.82i | 1.43377 | + | 1.24237i | ||||
\(974\) | −67.5401 | + | 469.752i | −0.0693430 | + | 0.482291i | ||||
\(975\) | 474.998 | − | 139.472i | 0.487178 | − | 0.143048i | ||||
\(976\) | 312.720 | − | 270.973i | 0.320409 | − | 0.277636i | ||||
\(977\) | −252.796 | − | 393.358i | −0.258747 | − | 0.402618i | 0.687439 | − | 0.726242i | \(-0.258735\pi\) |
−0.946186 | + | 0.323624i | \(0.895099\pi\) | |||||||
\(978\) | −1313.61 | + | 844.204i | −1.34316 | + | 0.863195i | ||||
\(979\) | 746.159 | + | 861.113i | 0.762164 | + | 0.879585i | ||||
\(980\) | 27.5423 | + | 93.8006i | 0.0281044 | + | 0.0957149i | ||||
\(981\) | −459.340 | − | 66.0431i | −0.468236 | − | 0.0673222i | ||||
\(982\) | 541.448 | − | 624.864i | 0.551373 | − | 0.636318i | ||||
\(983\) | 1603.97 | + | 732.510i | 1.63171 | + | 0.745178i | 0.999560 | − | 0.0296666i | \(-0.00944455\pi\) |
0.632152 | + | 0.774844i | \(0.282172\pi\) | |||||||
\(984\) | 261.959 | + | 76.9180i | 0.266218 | + | 0.0781687i | ||||
\(985\) | −83.1209 | + | 37.9601i | −0.0843867 | + | 0.0385381i | ||||
\(986\) | 761.107 | − | 109.431i | 0.771914 | − | 0.110984i | ||||
\(987\) | 41.0921 | − | 63.9405i | 0.0416333 | − | 0.0647827i | ||||
\(988\) | − | 383.437i | − | 0.388094i | ||||||
\(989\) | −118.407 | − | 892.257i | −0.119724 | − | 0.902181i | ||||
\(990\) | 197.585 | 0.199581 | ||||||||
\(991\) | −153.109 | − | 98.3969i | −0.154499 | − | 0.0992905i | 0.461107 | − | 0.887344i | \(-0.347452\pi\) |
−0.615606 | + | 0.788054i | \(0.711089\pi\) | |||||||
\(992\) | 87.1224 | + | 605.950i | 0.0878250 | + | 0.610836i | ||||
\(993\) | 46.8048 | + | 102.488i | 0.0471348 | + | 0.103211i | ||||
\(994\) | −577.670 | + | 1967.36i | −0.581157 | + | 1.97924i | ||||
\(995\) | −75.9289 | + | 166.261i | −0.0763105 | + | 0.167097i | ||||
\(996\) | 112.820 | + | 97.7593i | 0.113273 | + | 0.0981519i | ||||
\(997\) | −38.6332 | + | 268.700i | −0.0387495 | + | 0.269508i | −0.999981 | − | 0.00623558i | \(-0.998015\pi\) |
0.961231 | + | 0.275744i | \(0.0889242\pi\) | |||||||
\(998\) | 400.091 | − | 117.477i | 0.400893 | − | 0.117713i | ||||
\(999\) | −620.399 | + | 537.579i | −0.621020 | + | 0.538117i |
(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.21.1 | yes | 30 | |
3.2 | odd | 2 | 207.3.j.a.136.3 | 30 | |||
4.3 | odd | 2 | 368.3.p.a.113.3 | 30 | |||
23.9 | even | 11 | 529.3.b.b.528.8 | 30 | |||
23.11 | odd | 22 | inner | 23.3.d.a.11.1 | ✓ | 30 | |
23.14 | odd | 22 | 529.3.b.b.528.7 | 30 | |||
69.11 | even | 22 | 207.3.j.a.172.3 | 30 | |||
92.11 | even | 22 | 368.3.p.a.241.3 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.3.d.a.11.1 | ✓ | 30 | 23.11 | odd | 22 | inner | |
23.3.d.a.21.1 | yes | 30 | 1.1 | even | 1 | trivial | |
207.3.j.a.136.3 | 30 | 3.2 | odd | 2 | |||
207.3.j.a.172.3 | 30 | 69.11 | even | 22 | |||
368.3.p.a.113.3 | 30 | 4.3 | odd | 2 | |||
368.3.p.a.241.3 | 30 | 92.11 | even | 22 | |||
529.3.b.b.528.7 | 30 | 23.14 | odd | 22 | |||
529.3.b.b.528.8 | 30 | 23.9 | even | 11 |