Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 421.3 | ||
Character | \(\chi\) | \(=\) | 930.421 |
Dual form | 930.2.bg.h.391.3 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{13}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | ||||
\(3\) | −0.913545 | + | 0.406737i | −0.527436 | + | 0.234830i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | 2.56932 | + | 2.85352i | 0.971111 | + | 1.07853i | 0.996886 | + | 0.0788604i | \(0.0251281\pi\) |
−0.0257745 | + | 0.999668i | \(0.508205\pi\) | |||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 0.669131 | − | 0.743145i | 0.223044 | − | 0.247715i | ||||
\(10\) | −0.913545 | − | 0.406737i | −0.288888 | − | 0.128621i | ||||
\(11\) | −1.87860 | + | 0.399310i | −0.566421 | + | 0.120396i | −0.482216 | − | 0.876052i | \(-0.660168\pi\) |
−0.0842042 | + | 0.996449i | \(0.526835\pi\) | |||||||
\(12\) | 0.104528 | + | 0.994522i | 0.0301748 | + | 0.287094i | ||||
\(13\) | 0.00217483 | − | 0.0206921i | 0.000603188 | − | 0.00573895i | −0.994216 | − | 0.107398i | \(-0.965748\pi\) |
0.994819 | + | 0.101659i | \(0.0324149\pi\) | |||||||
\(14\) | 3.75588 | + | 0.798336i | 1.00380 | + | 0.213364i | ||||
\(15\) | 0.809017 | + | 0.587785i | 0.208887 | + | 0.151765i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 7.11058 | + | 1.51140i | 1.72457 | + | 0.366569i | 0.960438 | − | 0.278492i | \(-0.0898347\pi\) |
0.764131 | + | 0.645061i | \(0.223168\pi\) | |||||||
\(18\) | 0.104528 | − | 0.994522i | 0.0246376 | − | 0.234411i | ||||
\(19\) | 0.814090 | + | 7.74555i | 0.186765 | + | 1.77695i | 0.540244 | + | 0.841508i | \(0.318332\pi\) |
−0.353479 | + | 0.935442i | \(0.615002\pi\) | |||||||
\(20\) | −0.978148 | + | 0.207912i | −0.218720 | + | 0.0464905i | ||||
\(21\) | −3.50782 | − | 1.56178i | −0.765469 | − | 0.340809i | ||||
\(22\) | −1.28511 | + | 1.42726i | −0.273987 | + | 0.304294i | ||||
\(23\) | −1.30949 | − | 4.03021i | −0.273048 | − | 0.840356i | −0.989729 | − | 0.142955i | \(-0.954340\pi\) |
0.716681 | − | 0.697401i | \(-0.245660\pi\) | |||||||
\(24\) | 0.669131 | + | 0.743145i | 0.136586 | + | 0.151694i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −0.0104030 | − | 0.0180186i | −0.00204020 | − | 0.00353373i | ||||
\(27\) | −0.309017 | + | 0.951057i | −0.0594703 | + | 0.183031i | ||||
\(28\) | 3.50782 | − | 1.56178i | 0.662916 | − | 0.295149i | ||||
\(29\) | 3.86725 | − | 2.80972i | 0.718131 | − | 0.521752i | −0.167656 | − | 0.985846i | \(-0.553620\pi\) |
0.885786 | + | 0.464093i | \(0.153620\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 1.01097 | − | 5.47521i | 0.181576 | − | 0.983377i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 1.55378 | − | 1.12888i | 0.270478 | − | 0.196514i | ||||
\(34\) | 6.64096 | − | 2.95675i | 1.13892 | − | 0.507078i | ||||
\(35\) | 1.18656 | − | 3.65185i | 0.200565 | − | 0.617276i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | −0.186156 | + | 0.322432i | −0.0306039 | + | 0.0530075i | −0.880922 | − | 0.473262i | \(-0.843076\pi\) |
0.850318 | + | 0.526270i | \(0.176410\pi\) | |||||||
\(38\) | 5.21133 | + | 5.78777i | 0.845390 | + | 0.938900i | ||||
\(39\) | 0.00642943 | + | 0.0197877i | 0.00102953 | + | 0.00316857i | ||||
\(40\) | −0.669131 | + | 0.743145i | −0.105799 | + | 0.117502i | ||||
\(41\) | 10.7111 | + | 4.76889i | 1.67279 | + | 0.744776i | 0.999988 | + | 0.00495775i | \(0.00157811\pi\) |
0.672807 | + | 0.739818i | \(0.265089\pi\) | |||||||
\(42\) | −3.75588 | + | 0.798336i | −0.579545 | + | 0.123186i | ||||
\(43\) | 0.832376 | + | 7.91953i | 0.126936 | + | 1.20772i | 0.853676 | + | 0.520804i | \(0.174368\pi\) |
−0.726740 | + | 0.686913i | \(0.758965\pi\) | |||||||
\(44\) | −0.200755 | + | 1.91005i | −0.0302649 | + | 0.287951i | ||||
\(45\) | −0.978148 | − | 0.207912i | −0.145814 | − | 0.0309936i | ||||
\(46\) | −3.42830 | − | 2.49080i | −0.505475 | − | 0.367249i | ||||
\(47\) | 1.38957 | + | 1.00958i | 0.202689 | + | 0.147262i | 0.684500 | − | 0.729013i | \(-0.260021\pi\) |
−0.481811 | + | 0.876275i | \(0.660021\pi\) | |||||||
\(48\) | 0.978148 | + | 0.207912i | 0.141183 | + | 0.0300095i | ||||
\(49\) | −0.809464 | + | 7.70154i | −0.115638 | + | 1.10022i | ||||
\(50\) | 0.104528 | + | 0.994522i | 0.0147826 | + | 0.140647i | ||||
\(51\) | −7.11058 | + | 1.51140i | −0.995681 | + | 0.211638i | ||||
\(52\) | −0.0190073 | − | 0.00846259i | −0.00263584 | − | 0.00117355i | ||||
\(53\) | 8.49564 | − | 9.43536i | 1.16697 | − | 1.29605i | 0.219710 | − | 0.975565i | \(-0.429489\pi\) |
0.947255 | − | 0.320481i | \(-0.103845\pi\) | |||||||
\(54\) | 0.309017 | + | 0.951057i | 0.0420519 | + | 0.129422i | ||||
\(55\) | 1.28511 | + | 1.42726i | 0.173285 | + | 0.192452i | ||||
\(56\) | 1.91989 | − | 3.32535i | 0.256557 | − | 0.444369i | ||||
\(57\) | −3.89411 | − | 6.74479i | −0.515787 | − | 0.893369i | ||||
\(58\) | 1.47716 | − | 4.54623i | 0.193960 | − | 0.596949i | ||||
\(59\) | −7.66795 | + | 3.41399i | −0.998282 | + | 0.444464i | −0.839799 | − | 0.542898i | \(-0.817327\pi\) |
−0.158483 | + | 0.987362i | \(0.550660\pi\) | |||||||
\(60\) | 0.809017 | − | 0.587785i | 0.104444 | − | 0.0758827i | ||||
\(61\) | −1.40266 | −0.179592 | −0.0897958 | − | 0.995960i | \(-0.528621\pi\) | ||||
−0.0897958 | + | 0.995960i | \(0.528621\pi\) | |||||||
\(62\) | −2.40036 | − | 5.02377i | −0.304845 | − | 0.638020i | ||||
\(63\) | 3.83979 | 0.483768 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −0.0190073 | + | 0.00846259i | −0.00235756 | + | 0.00104965i | ||||
\(66\) | 0.593490 | − | 1.82657i | 0.0730536 | − | 0.224836i | ||||
\(67\) | −2.58708 | − | 4.48095i | −0.316062 | − | 0.547435i | 0.663601 | − | 0.748087i | \(-0.269027\pi\) |
−0.979663 | + | 0.200652i | \(0.935694\pi\) | |||||||
\(68\) | 3.63472 | − | 6.29552i | 0.440774 | − | 0.763444i | ||||
\(69\) | 2.83551 | + | 3.14916i | 0.341356 | + | 0.379114i | ||||
\(70\) | −1.18656 | − | 3.65185i | −0.141821 | − | 0.436480i | ||||
\(71\) | −1.51775 | + | 1.68563i | −0.180124 | + | 0.200047i | −0.826444 | − | 0.563018i | \(-0.809640\pi\) |
0.646321 | + | 0.763066i | \(0.276307\pi\) | |||||||
\(72\) | −0.913545 | − | 0.406737i | −0.107662 | − | 0.0479344i | ||||
\(73\) | 2.79773 | − | 0.594675i | 0.327449 | − | 0.0696015i | −0.0412539 | − | 0.999149i | \(-0.513135\pi\) |
0.368703 | + | 0.929547i | \(0.379802\pi\) | |||||||
\(74\) | 0.0389172 | + | 0.370273i | 0.00452403 | + | 0.0430433i | ||||
\(75\) | 0.104528 | − | 0.994522i | 0.0120699 | − | 0.114837i | ||||
\(76\) | 7.61802 | + | 1.61926i | 0.873847 | + | 0.185742i | ||||
\(77\) | −5.96617 | − | 4.33468i | −0.679908 | − | 0.493982i | ||||
\(78\) | 0.0168325 | + | 0.0122295i | 0.00190590 | + | 0.00138472i | ||||
\(79\) | 14.0815 | + | 2.99310i | 1.58429 | + | 0.336751i | 0.914115 | − | 0.405455i | \(-0.132887\pi\) |
0.670172 | + | 0.742206i | \(0.266220\pi\) | |||||||
\(80\) | −0.104528 | + | 0.994522i | −0.0116866 | + | 0.111191i | ||||
\(81\) | −0.104528 | − | 0.994522i | −0.0116143 | − | 0.110502i | ||||
\(82\) | 11.4686 | − | 2.43772i | 1.26649 | − | 0.269201i | ||||
\(83\) | −0.768941 | − | 0.342354i | −0.0844022 | − | 0.0375783i | 0.364101 | − | 0.931359i | \(-0.381376\pi\) |
−0.448504 | + | 0.893781i | \(0.648043\pi\) | |||||||
\(84\) | −2.56932 | + | 2.85352i | −0.280336 | + | 0.311344i | ||||
\(85\) | −2.24638 | − | 6.91365i | −0.243654 | − | 0.749890i | ||||
\(86\) | 5.32839 | + | 5.91778i | 0.574575 | + | 0.638130i | ||||
\(87\) | −2.39009 | + | 4.13976i | −0.256245 | + | 0.443829i | ||||
\(88\) | 0.960287 | + | 1.66327i | 0.102367 | + | 0.177305i | ||||
\(89\) | −0.939554 | + | 2.89165i | −0.0995925 | + | 0.306514i | −0.988423 | − | 0.151721i | \(-0.951518\pi\) |
0.888831 | + | 0.458236i | \(0.151518\pi\) | |||||||
\(90\) | −0.913545 | + | 0.406737i | −0.0962961 | + | 0.0428738i | ||||
\(91\) | 0.0646330 | − | 0.0469586i | 0.00677538 | − | 0.00492260i | ||||
\(92\) | −4.23761 | −0.441801 | ||||||||
\(93\) | 1.30340 | + | 5.41305i | 0.135156 | + | 0.561307i | ||||
\(94\) | 1.71760 | 0.177157 | ||||||||
\(95\) | 6.30080 | − | 4.57780i | 0.646448 | − | 0.469672i | ||||
\(96\) | 0.913545 | − | 0.406737i | 0.0932383 | − | 0.0415124i | ||||
\(97\) | 1.22242 | − | 3.76222i | 0.124118 | − | 0.381996i | −0.869621 | − | 0.493719i | \(-0.835637\pi\) |
0.993739 | + | 0.111724i | \(0.0356371\pi\) | |||||||
\(98\) | 3.87198 | + | 6.70647i | 0.391129 | + | 0.677455i | ||||
\(99\) | −0.960287 | + | 1.66327i | −0.0965125 | + | 0.167164i | ||||
\(100\) | 0.669131 | + | 0.743145i | 0.0669131 | + | 0.0743145i | ||||
\(101\) | −1.57615 | − | 4.85088i | −0.156832 | − | 0.482680i | 0.841510 | − | 0.540242i | \(-0.181667\pi\) |
−0.998342 | + | 0.0575619i | \(0.981667\pi\) | |||||||
\(102\) | −4.86420 | + | 5.40224i | −0.481628 | + | 0.534902i | ||||
\(103\) | −12.9159 | − | 5.75052i | −1.27264 | − | 0.566615i | −0.344478 | − | 0.938794i | \(-0.611944\pi\) |
−0.928161 | + | 0.372179i | \(0.878611\pi\) | |||||||
\(104\) | −0.0203514 | + | 0.00432582i | −0.00199562 | + | 0.000424182i | ||||
\(105\) | 0.401367 | + | 3.81875i | 0.0391694 | + | 0.372672i | ||||
\(106\) | 1.32715 | − | 12.6270i | 0.128904 | − | 1.22644i | ||||
\(107\) | −8.55226 | − | 1.81784i | −0.826779 | − | 0.175737i | −0.224958 | − | 0.974368i | \(-0.572224\pi\) |
−0.601821 | + | 0.798631i | \(0.705558\pi\) | |||||||
\(108\) | 0.809017 | + | 0.587785i | 0.0778477 | + | 0.0565597i | ||||
\(109\) | −5.32009 | − | 3.86527i | −0.509572 | − | 0.370226i | 0.303089 | − | 0.952962i | \(-0.401982\pi\) |
−0.812661 | + | 0.582737i | \(0.801982\pi\) | |||||||
\(110\) | 1.87860 | + | 0.399310i | 0.179118 | + | 0.0380727i | ||||
\(111\) | 0.0389172 | − | 0.370273i | 0.00369386 | − | 0.0351447i | ||||
\(112\) | −0.401367 | − | 3.81875i | −0.0379256 | − | 0.360838i | ||||
\(113\) | −14.5255 | + | 3.08748i | −1.36644 | + | 0.290446i | −0.832008 | − | 0.554764i | \(-0.812809\pi\) |
−0.534434 | + | 0.845210i | \(0.679475\pi\) | |||||||
\(114\) | −7.11489 | − | 3.16775i | −0.666370 | − | 0.296687i | ||||
\(115\) | −2.83551 | + | 3.14916i | −0.264413 | + | 0.293660i | ||||
\(116\) | −1.47716 | − | 4.54623i | −0.137151 | − | 0.422107i | ||||
\(117\) | −0.0139220 | − | 0.0154619i | −0.00128709 | − | 0.00142945i | ||||
\(118\) | −4.19681 | + | 7.26908i | −0.386347 | + | 0.669173i | ||||
\(119\) | 13.9565 | + | 24.1734i | 1.27939 | + | 2.21598i | ||||
\(120\) | 0.309017 | − | 0.951057i | 0.0282093 | − | 0.0868192i | ||||
\(121\) | −6.67929 | + | 2.97381i | −0.607208 | + | 0.270347i | ||||
\(122\) | −1.13477 | + | 0.824460i | −0.102737 | + | 0.0746431i | ||||
\(123\) | −11.7248 | −1.05719 | ||||||||
\(124\) | −4.89483 | − | 2.65342i | −0.439569 | − | 0.238285i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 3.10645 | − | 2.25697i | 0.276745 | − | 0.201067i | ||||
\(127\) | −7.16697 | + | 3.19094i | −0.635966 | + | 0.283150i | −0.699285 | − | 0.714843i | \(-0.746498\pi\) |
0.0633190 | + | 0.997993i | \(0.479831\pi\) | |||||||
\(128\) | −0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | ||||
\(129\) | −3.98158 | − | 6.89629i | −0.350558 | − | 0.607185i | ||||
\(130\) | −0.0104030 | + | 0.0180186i | −0.000912406 | + | 0.00158033i | ||||
\(131\) | 0.970788 | + | 1.07817i | 0.0848182 | + | 0.0942001i | 0.784060 | − | 0.620685i | \(-0.213146\pi\) |
−0.699242 | + | 0.714885i | \(0.746479\pi\) | |||||||
\(132\) | −0.593490 | − | 1.82657i | −0.0516567 | − | 0.158983i | ||||
\(133\) | −20.0104 | + | 22.2238i | −1.73512 | + | 1.92705i | ||||
\(134\) | −4.72682 | − | 2.10452i | −0.408335 | − | 0.181803i | ||||
\(135\) | 0.978148 | − | 0.207912i | 0.0841855 | − | 0.0178942i | ||||
\(136\) | −0.759863 | − | 7.22961i | −0.0651577 | − | 0.619934i | ||||
\(137\) | −0.0251624 | + | 0.239404i | −0.00214977 | + | 0.0204537i | −0.995544 | − | 0.0942961i | \(-0.969940\pi\) |
0.993394 | + | 0.114750i | \(0.0366066\pi\) | |||||||
\(138\) | 4.14501 | + | 0.881049i | 0.352846 | + | 0.0749998i | ||||
\(139\) | 1.19471 | + | 0.868011i | 0.101334 | + | 0.0736237i | 0.637299 | − | 0.770617i | \(-0.280052\pi\) |
−0.535964 | + | 0.844241i | \(0.680052\pi\) | |||||||
\(140\) | −3.10645 | − | 2.25697i | −0.262543 | − | 0.190749i | ||||
\(141\) | −1.68007 | − | 0.357109i | −0.141487 | − | 0.0300740i | ||||
\(142\) | −0.237095 | + | 2.25581i | −0.0198966 | + | 0.189304i | ||||
\(143\) | 0.00417691 | + | 0.0397407i | 0.000349291 | + | 0.00332328i | ||||
\(144\) | −0.978148 | + | 0.207912i | −0.0815123 | + | 0.0173260i | ||||
\(145\) | −4.36692 | − | 1.94428i | −0.362653 | − | 0.161463i | ||||
\(146\) | 1.91387 | − | 2.12557i | 0.158393 | − | 0.175913i | ||||
\(147\) | −2.39302 | − | 7.36494i | −0.197373 | − | 0.607450i | ||||
\(148\) | 0.249125 | + | 0.276682i | 0.0204780 | + | 0.0227431i | ||||
\(149\) | −8.63481 | + | 14.9559i | −0.707391 | + | 1.22524i | 0.258430 | + | 0.966030i | \(0.416795\pi\) |
−0.965822 | + | 0.259208i | \(0.916539\pi\) | |||||||
\(150\) | −0.500000 | − | 0.866025i | −0.0408248 | − | 0.0707107i | ||||
\(151\) | 0.727961 | − | 2.24043i | 0.0592406 | − | 0.182324i | −0.917057 | − | 0.398756i | \(-0.869442\pi\) |
0.976298 | + | 0.216432i | \(0.0694420\pi\) | |||||||
\(152\) | 7.11489 | − | 3.16775i | 0.577093 | − | 0.256939i | ||||
\(153\) | 5.88110 | − | 4.27287i | 0.475459 | − | 0.345441i | ||||
\(154\) | −7.37459 | −0.594262 | ||||||||
\(155\) | −5.24716 | + | 1.86208i | −0.421462 | + | 0.149566i | ||||
\(156\) | 0.0208061 | 0.00166582 | ||||||||
\(157\) | −14.9542 | + | 10.8649i | −1.19348 | + | 0.867112i | −0.993627 | − | 0.112715i | \(-0.964045\pi\) |
−0.199849 | + | 0.979827i | \(0.564045\pi\) | |||||||
\(158\) | 13.1514 | − | 5.85540i | 1.04627 | − | 0.465830i | ||||
\(159\) | −3.92344 | + | 12.0751i | −0.311149 | + | 0.957619i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 8.13576 | − | 14.0915i | 0.641188 | − | 1.11057i | ||||
\(162\) | −0.669131 | − | 0.743145i | −0.0525719 | − | 0.0583870i | ||||
\(163\) | 2.49734 | + | 7.68602i | 0.195607 | + | 0.602015i | 0.999969 | + | 0.00787626i | \(0.00250712\pi\) |
−0.804362 | + | 0.594139i | \(0.797493\pi\) | |||||||
\(164\) | 7.84540 | − | 8.71320i | 0.612623 | − | 0.680387i | ||||
\(165\) | −1.75453 | − | 0.781168i | −0.136590 | − | 0.0608138i | ||||
\(166\) | −0.823317 | + | 0.175001i | −0.0639018 | + | 0.0135827i | ||||
\(167\) | −1.76621 | − | 16.8044i | −0.136673 | − | 1.30036i | −0.820892 | − | 0.571084i | \(-0.806523\pi\) |
0.684219 | − | 0.729277i | \(-0.260143\pi\) | |||||||
\(168\) | −0.401367 | + | 3.81875i | −0.0309661 | + | 0.294623i | ||||
\(169\) | 12.7155 | + | 2.70276i | 0.978115 | + | 0.207905i | ||||
\(170\) | −5.88110 | − | 4.27287i | −0.451060 | − | 0.327714i | ||||
\(171\) | 6.30080 | + | 4.57780i | 0.481834 | + | 0.350073i | ||||
\(172\) | 7.78914 | + | 1.65563i | 0.593916 | + | 0.126241i | ||||
\(173\) | 2.53943 | − | 24.1611i | 0.193069 | − | 1.83693i | −0.284902 | − | 0.958557i | \(-0.591961\pi\) |
0.477972 | − | 0.878375i | \(-0.341372\pi\) | |||||||
\(174\) | 0.499666 | + | 4.75400i | 0.0378795 | + | 0.360400i | ||||
\(175\) | −3.75588 | + | 0.798336i | −0.283918 | + | 0.0603486i | ||||
\(176\) | 1.75453 | + | 0.781168i | 0.132253 | + | 0.0588827i | ||||
\(177\) | 5.61642 | − | 6.23767i | 0.422156 | − | 0.468852i | ||||
\(178\) | 0.939554 | + | 2.89165i | 0.0704226 | + | 0.216738i | ||||
\(179\) | 5.18623 | + | 5.75989i | 0.387637 | + | 0.430515i | 0.905105 | − | 0.425188i | \(-0.139792\pi\) |
−0.517468 | + | 0.855703i | \(0.673125\pi\) | |||||||
\(180\) | −0.500000 | + | 0.866025i | −0.0372678 | + | 0.0645497i | ||||
\(181\) | 3.53503 | + | 6.12285i | 0.262757 | + | 0.455108i | 0.966973 | − | 0.254877i | \(-0.0820350\pi\) |
−0.704217 | + | 0.709985i | \(0.748702\pi\) | |||||||
\(182\) | 0.0246876 | − | 0.0759807i | 0.00182997 | − | 0.00563206i | ||||
\(183\) | 1.28139 | − | 0.570511i | 0.0947230 | − | 0.0421734i | ||||
\(184\) | −3.42830 | + | 2.49080i | −0.252737 | + | 0.183625i | ||||
\(185\) | 0.372312 | 0.0273729 | ||||||||
\(186\) | 4.23619 | + | 3.61313i | 0.310612 | + | 0.264928i | ||||
\(187\) | −13.9615 | −1.02097 | ||||||||
\(188\) | 1.38957 | − | 1.00958i | 0.101345 | − | 0.0736311i | ||||
\(189\) | −3.50782 | + | 1.56178i | −0.255156 | + | 0.113603i | ||||
\(190\) | 2.40669 | − | 7.40703i | 0.174600 | − | 0.537362i | ||||
\(191\) | −1.94565 | − | 3.36996i | −0.140782 | − | 0.243842i | 0.787009 | − | 0.616941i | \(-0.211628\pi\) |
−0.927791 | + | 0.373099i | \(0.878295\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | −11.5936 | − | 12.8760i | −0.834524 | − | 0.926832i | 0.163694 | − | 0.986511i | \(-0.447659\pi\) |
−0.998218 | + | 0.0596788i | \(0.980992\pi\) | |||||||
\(194\) | −1.22242 | − | 3.76222i | −0.0877646 | − | 0.270112i | ||||
\(195\) | 0.0139220 | − | 0.0154619i | 0.000996973 | − | 0.00110725i | ||||
\(196\) | 7.07446 | + | 3.14975i | 0.505319 | + | 0.224982i | ||||
\(197\) | −16.8941 | + | 3.59095i | −1.20365 | + | 0.255844i | −0.765727 | − | 0.643166i | \(-0.777620\pi\) |
−0.437927 | + | 0.899011i | \(0.644287\pi\) | |||||||
\(198\) | 0.200755 | + | 1.91005i | 0.0142670 | + | 0.135742i | ||||
\(199\) | −1.81521 | + | 17.2706i | −0.128677 | + | 1.22428i | 0.719472 | + | 0.694522i | \(0.244384\pi\) |
−0.848149 | + | 0.529758i | \(0.822283\pi\) | |||||||
\(200\) | 0.978148 | + | 0.207912i | 0.0691655 | + | 0.0147016i | ||||
\(201\) | 4.18598 | + | 3.04129i | 0.295256 | + | 0.214516i | ||||
\(202\) | −4.12640 | − | 2.99801i | −0.290333 | − | 0.210939i | ||||
\(203\) | 17.9538 | + | 3.81620i | 1.26011 | + | 0.267845i | ||||
\(204\) | −0.759863 | + | 7.22961i | −0.0532011 | + | 0.506174i | ||||
\(205\) | −1.22557 | − | 11.6605i | −0.0855977 | − | 0.814407i | ||||
\(206\) | −13.8292 | + | 2.93949i | −0.963528 | + | 0.204804i | ||||
\(207\) | −3.87125 | − | 1.72359i | −0.269070 | − | 0.119798i | ||||
\(208\) | −0.0139220 | + | 0.0154619i | −0.000965315 | + | 0.00107209i | ||||
\(209\) | −4.62223 | − | 14.2257i | −0.319726 | − | 0.984016i | ||||
\(210\) | 2.56932 | + | 2.85352i | 0.177300 | + | 0.196911i | ||||
\(211\) | −4.68458 | + | 8.11393i | −0.322500 | + | 0.558586i | −0.981003 | − | 0.193992i | \(-0.937856\pi\) |
0.658503 | + | 0.752578i | \(0.271190\pi\) | |||||||
\(212\) | −6.34826 | − | 10.9955i | −0.436001 | − | 0.755175i | ||||
\(213\) | 0.700924 | − | 2.15722i | 0.0480265 | − | 0.147810i | ||||
\(214\) | −7.98743 | + | 3.55623i | −0.546009 | + | 0.243099i | ||||
\(215\) | 6.44233 | − | 4.68062i | 0.439363 | − | 0.319216i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 18.2211 | − | 11.1827i | 1.23693 | − | 0.759134i | ||||
\(218\) | −6.57599 | −0.445382 | ||||||||
\(219\) | −2.31397 | + | 1.68120i | −0.156364 | + | 0.113605i | ||||
\(220\) | 1.75453 | − | 0.781168i | 0.118290 | − | 0.0526663i | ||||
\(221\) | 0.0467383 | − | 0.143846i | 0.00314396 | − | 0.00967611i | ||||
\(222\) | −0.186156 | − | 0.322432i | −0.0124940 | − | 0.0216402i | ||||
\(223\) | −7.19354 | + | 12.4596i | −0.481715 | + | 0.834354i | −0.999780 | − | 0.0209868i | \(-0.993319\pi\) |
0.518065 | + | 0.855341i | \(0.326653\pi\) | |||||||
\(224\) | −2.56932 | − | 2.85352i | −0.171670 | − | 0.190659i | ||||
\(225\) | 0.309017 | + | 0.951057i | 0.0206011 | + | 0.0634038i | ||||
\(226\) | −9.93658 | + | 11.0357i | −0.660971 | + | 0.734083i | ||||
\(227\) | −4.91692 | − | 2.18915i | −0.326347 | − | 0.145299i | 0.237022 | − | 0.971504i | \(-0.423829\pi\) |
−0.563370 | + | 0.826205i | \(0.690495\pi\) | |||||||
\(228\) | −7.61802 | + | 1.61926i | −0.504516 | + | 0.107238i | ||||
\(229\) | −2.63055 | − | 25.0280i | −0.173832 | − | 1.65390i | −0.639390 | − | 0.768883i | \(-0.720813\pi\) |
0.465558 | − | 0.885017i | \(-0.345854\pi\) | |||||||
\(230\) | −0.442951 | + | 4.21440i | −0.0292073 | + | 0.277889i | ||||
\(231\) | 7.21344 | + | 1.53326i | 0.474610 | + | 0.100881i | ||||
\(232\) | −3.86725 | − | 2.80972i | −0.253898 | − | 0.184467i | ||||
\(233\) | −6.11686 | − | 4.44416i | −0.400729 | − | 0.291147i | 0.369109 | − | 0.929386i | \(-0.379663\pi\) |
−0.769838 | + | 0.638240i | \(0.779663\pi\) | |||||||
\(234\) | −0.0203514 | − | 0.00432582i | −0.00133041 | − | 0.000282788i | ||||
\(235\) | 0.179538 | − | 1.70819i | 0.0117118 | − | 0.111430i | ||||
\(236\) | 0.877372 | + | 8.34763i | 0.0571120 | + | 0.543385i | ||||
\(237\) | −14.0815 | + | 2.99310i | −0.914688 | + | 0.194423i | ||||
\(238\) | 25.4999 | + | 11.3533i | 1.65291 | + | 0.735924i | ||||
\(239\) | 14.4335 | − | 16.0300i | 0.933627 | − | 1.03690i | −0.0656103 | − | 0.997845i | \(-0.520899\pi\) |
0.999237 | − | 0.0390523i | \(-0.0124339\pi\) | |||||||
\(240\) | −0.309017 | − | 0.951057i | −0.0199470 | − | 0.0613904i | ||||
\(241\) | −16.6420 | − | 18.4828i | −1.07200 | − | 1.19058i | −0.980854 | − | 0.194744i | \(-0.937612\pi\) |
−0.0911499 | − | 0.995837i | \(-0.529054\pi\) | |||||||
\(242\) | −3.65570 | + | 6.33185i | −0.234997 | + | 0.407027i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −0.433444 | + | 1.33400i | −0.0277484 | + | 0.0854009i | ||||
\(245\) | 7.07446 | − | 3.14975i | 0.451971 | − | 0.201230i | ||||
\(246\) | −9.48554 | + | 6.89165i | −0.604776 | + | 0.439395i | ||||
\(247\) | 0.162042 | 0.0103105 | ||||||||
\(248\) | −5.51964 | + | 0.730442i | −0.350498 | + | 0.0463831i | ||||
\(249\) | 0.841710 | 0.0533412 | ||||||||
\(250\) | 0.809017 | − | 0.587785i | 0.0511667 | − | 0.0371748i | ||||
\(251\) | 14.8619 | − | 6.61696i | 0.938077 | − | 0.417659i | 0.120004 | − | 0.992773i | \(-0.461709\pi\) |
0.818073 | + | 0.575115i | \(0.195043\pi\) | |||||||
\(252\) | 1.18656 | − | 3.65185i | 0.0747462 | − | 0.230045i | ||||
\(253\) | 4.06932 | + | 7.04827i | 0.255836 | + | 0.443121i | ||||
\(254\) | −3.92261 | + | 6.79417i | −0.246127 | + | 0.426304i | ||||
\(255\) | 4.86420 | + | 5.40224i | 0.304608 | + | 0.338302i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 17.9713 | − | 19.9591i | 1.12102 | − | 1.24502i | 0.154619 | − | 0.987974i | \(-0.450585\pi\) |
0.966400 | − | 0.257043i | \(-0.0827482\pi\) | |||||||
\(258\) | −7.27470 | − | 3.23891i | −0.452903 | − | 0.201646i | ||||
\(259\) | −1.39836 | + | 0.297230i | −0.0868898 | + | 0.0184690i | ||||
\(260\) | 0.00217483 | + | 0.0206921i | 0.000134877 | + | 0.00128327i | ||||
\(261\) | 0.499666 | − | 4.75400i | 0.0309285 | − | 0.294265i | ||||
\(262\) | 1.41912 | + | 0.301642i | 0.0876733 | + | 0.0186355i | ||||
\(263\) | 4.71418 | + | 3.42505i | 0.290689 | + | 0.211198i | 0.723566 | − | 0.690255i | \(-0.242502\pi\) |
−0.432877 | + | 0.901453i | \(0.642502\pi\) | |||||||
\(264\) | −1.55378 | − | 1.12888i | −0.0956284 | − | 0.0694781i | ||||
\(265\) | −12.4191 | − | 2.63976i | −0.762898 | − | 0.162159i | ||||
\(266\) | −3.12593 | + | 29.7412i | −0.191663 | + | 1.82355i | ||||
\(267\) | −0.317815 | − | 3.02381i | −0.0194499 | − | 0.185054i | ||||
\(268\) | −5.06108 | + | 1.07577i | −0.309155 | + | 0.0657129i | ||||
\(269\) | 17.4562 | + | 7.77200i | 1.06432 | + | 0.473867i | 0.862763 | − | 0.505609i | \(-0.168732\pi\) |
0.201560 | + | 0.979476i | \(0.435399\pi\) | |||||||
\(270\) | 0.669131 | − | 0.743145i | 0.0407220 | − | 0.0452264i | ||||
\(271\) | −4.36020 | − | 13.4193i | −0.264863 | − | 0.815166i | −0.991725 | − | 0.128382i | \(-0.959022\pi\) |
0.726861 | − | 0.686784i | \(-0.240978\pi\) | |||||||
\(272\) | −4.86420 | − | 5.40224i | −0.294936 | − | 0.327559i | ||||
\(273\) | −0.0399454 | + | 0.0691875i | −0.00241761 | + | 0.00418742i | ||||
\(274\) | 0.120362 | + | 0.208472i | 0.00727131 | + | 0.0125943i | ||||
\(275\) | 0.593490 | − | 1.82657i | 0.0357888 | − | 0.110147i | ||||
\(276\) | 3.87125 | − | 1.72359i | 0.233022 | − | 0.103748i | ||||
\(277\) | −17.3062 | + | 12.5737i | −1.03983 | + | 0.755481i | −0.970252 | − | 0.242096i | \(-0.922165\pi\) |
−0.0695776 | + | 0.997577i | \(0.522165\pi\) | |||||||
\(278\) | 1.47675 | 0.0885695 | ||||||||
\(279\) | −3.39240 | − | 4.41493i | −0.203098 | − | 0.264315i | ||||
\(280\) | −3.83979 | −0.229471 | ||||||||
\(281\) | −16.9336 | + | 12.3030i | −1.01018 | + | 0.733936i | −0.964246 | − | 0.265009i | \(-0.914625\pi\) |
−0.0459301 | + | 0.998945i | \(0.514625\pi\) | |||||||
\(282\) | −1.56910 | + | 0.698610i | −0.0934388 | + | 0.0416016i | ||||
\(283\) | −3.03256 | + | 9.33327i | −0.180267 | + | 0.554805i | −0.999835 | − | 0.0181772i | \(-0.994214\pi\) |
0.819568 | + | 0.572982i | \(0.194214\pi\) | |||||||
\(284\) | 1.13412 | + | 1.96435i | 0.0672976 | + | 0.116563i | ||||
\(285\) | −3.89411 | + | 6.74479i | −0.230667 | + | 0.399527i | ||||
\(286\) | 0.0267382 | + | 0.0296957i | 0.00158106 | + | 0.00175595i | ||||
\(287\) | 13.9121 | + | 42.8171i | 0.821207 | + | 2.52742i | ||||
\(288\) | −0.669131 | + | 0.743145i | −0.0394289 | + | 0.0437902i | ||||
\(289\) | 32.7458 | + | 14.5794i | 1.92622 | + | 0.857609i | ||||
\(290\) | −4.67573 | + | 0.993857i | −0.274568 | + | 0.0583613i | ||||
\(291\) | 0.413497 | + | 3.93416i | 0.0242396 | + | 0.230625i | ||||
\(292\) | 0.298975 | − | 2.84456i | 0.0174962 | − | 0.166465i | ||||
\(293\) | −22.3706 | − | 4.75501i | −1.30690 | − | 0.277791i | −0.498741 | − | 0.866751i | \(-0.666204\pi\) |
−0.808162 | + | 0.588960i | \(0.799537\pi\) | |||||||
\(294\) | −6.26500 | − | 4.55179i | −0.365382 | − | 0.265466i | ||||
\(295\) | 6.79058 | + | 4.93364i | 0.395363 | + | 0.287248i | ||||
\(296\) | 0.364176 | + | 0.0774081i | 0.0211673 | + | 0.00449925i | ||||
\(297\) | 0.200755 | − | 1.91005i | 0.0116490 | − | 0.110832i | ||||
\(298\) | 1.80517 | + | 17.1750i | 0.104571 | + | 0.994922i | ||||
\(299\) | −0.0862413 | + | 0.0183311i | −0.00498746 | + | 0.00106012i | ||||
\(300\) | −0.913545 | − | 0.406737i | −0.0527436 | − | 0.0234830i | ||||
\(301\) | −20.4599 | + | 22.7230i | −1.17929 | + | 1.30973i | ||||
\(302\) | −0.727961 | − | 2.24043i | −0.0418895 | − | 0.128922i | ||||
\(303\) | 3.41291 | + | 3.79042i | 0.196067 | + | 0.217754i | ||||
\(304\) | 3.89411 | − | 6.74479i | 0.223342 | − | 0.386840i | ||||
\(305\) | 0.701328 | + | 1.21474i | 0.0401579 | + | 0.0695555i | ||||
\(306\) | 2.24638 | − | 6.91365i | 0.128417 | − | 0.395227i | ||||
\(307\) | 19.2166 | − | 8.55577i | 1.09675 | − | 0.488303i | 0.223067 | − | 0.974803i | \(-0.428393\pi\) |
0.873681 | + | 0.486500i | \(0.161727\pi\) | |||||||
\(308\) | −5.96617 | + | 4.33468i | −0.339954 | + | 0.246991i | ||||
\(309\) | 14.1382 | 0.804293 | ||||||||
\(310\) | −3.15054 | + | 4.59066i | −0.178939 | + | 0.260732i | ||||
\(311\) | 24.7569 | 1.40384 | 0.701919 | − | 0.712257i | \(-0.252327\pi\) | ||||
0.701919 | + | 0.712257i | \(0.252327\pi\) | |||||||
\(312\) | 0.0168325 | − | 0.0122295i | 0.000952950 | − | 0.000692359i | ||||
\(313\) | 18.8129 | − | 8.37604i | 1.06337 | − | 0.473442i | 0.200930 | − | 0.979606i | \(-0.435603\pi\) |
0.862437 | + | 0.506164i | \(0.168937\pi\) | |||||||
\(314\) | −5.71200 | + | 17.5797i | −0.322347 | + | 0.992082i | ||||
\(315\) | −1.91989 | − | 3.32535i | −0.108174 | − | 0.187362i | ||||
\(316\) | 7.19802 | − | 12.4673i | 0.404920 | − | 0.701342i | ||||
\(317\) | −12.2500 | − | 13.6050i | −0.688030 | − | 0.764135i | 0.293392 | − | 0.955992i | \(-0.405216\pi\) |
−0.981423 | + | 0.191857i | \(0.938549\pi\) | |||||||
\(318\) | 3.92344 | + | 12.0751i | 0.220016 | + | 0.677139i | ||||
\(319\) | −6.14309 | + | 6.82259i | −0.343947 | + | 0.381992i | ||||
\(320\) | 0.913545 | + | 0.406737i | 0.0510687 | + | 0.0227373i | ||||
\(321\) | 8.55226 | − | 1.81784i | 0.477341 | − | 0.101462i | ||||
\(322\) | −1.70084 | − | 16.1824i | −0.0947839 | − | 0.901809i | ||||
\(323\) | −5.91798 | + | 56.3058i | −0.329285 | + | 3.13294i | ||||
\(324\) | −0.978148 | − | 0.207912i | −0.0543415 | − | 0.0115506i | ||||
\(325\) | 0.0168325 | + | 0.0122295i | 0.000933697 | + | 0.000678370i | ||||
\(326\) | 6.53812 | + | 4.75022i | 0.362113 | + | 0.263090i | ||||
\(327\) | 6.43229 | + | 1.36722i | 0.355706 | + | 0.0756077i | ||||
\(328\) | 1.22557 | − | 11.6605i | 0.0676709 | − | 0.643846i | ||||
\(329\) | 0.689388 | + | 6.55908i | 0.0380072 | + | 0.361614i | ||||
\(330\) | −1.87860 | + | 0.399310i | −0.103414 | + | 0.0219813i | ||||
\(331\) | −16.5912 | − | 7.38686i | −0.911932 | − | 0.406018i | −0.103515 | − | 0.994628i | \(-0.533009\pi\) |
−0.808418 | + | 0.588609i | \(0.799676\pi\) | |||||||
\(332\) | −0.563214 | + | 0.625513i | −0.0309104 | + | 0.0343295i | ||||
\(333\) | 0.115051 | + | 0.354090i | 0.00630474 | + | 0.0194040i | ||||
\(334\) | −11.3062 | − | 12.5569i | −0.618650 | − | 0.687081i | ||||
\(335\) | −2.58708 | + | 4.48095i | −0.141347 | + | 0.244820i | ||||
\(336\) | 1.91989 | + | 3.32535i | 0.104739 | + | 0.181413i | ||||
\(337\) | 1.36987 | − | 4.21602i | 0.0746215 | − | 0.229661i | −0.906788 | − | 0.421587i | \(-0.861473\pi\) |
0.981409 | + | 0.191926i | \(0.0614732\pi\) | |||||||
\(338\) | 11.8757 | − | 5.28740i | 0.645953 | − | 0.287597i | ||||
\(339\) | 12.0139 | − | 8.72860i | 0.652505 | − | 0.474073i | ||||
\(340\) | −7.26944 | −0.394241 | ||||||||
\(341\) | 0.287089 | + | 10.6894i | 0.0155468 | + | 0.578866i | ||||
\(342\) | 7.78821 | 0.421138 | ||||||||
\(343\) | −2.31108 | + | 1.67909i | −0.124786 | + | 0.0906626i | ||||
\(344\) | 7.27470 | − | 3.23891i | 0.392226 | − | 0.174630i | ||||
\(345\) | 1.30949 | − | 4.03021i | 0.0705008 | − | 0.216979i | ||||
\(346\) | −12.1471 | − | 21.0394i | −0.653031 | − | 1.13108i | ||||
\(347\) | 5.75638 | − | 9.97035i | 0.309019 | − | 0.535236i | −0.669129 | − | 0.743146i | \(-0.733333\pi\) |
0.978148 | + | 0.207910i | \(0.0666661\pi\) | |||||||
\(348\) | 3.19857 | + | 3.55237i | 0.171461 | + | 0.190427i | ||||
\(349\) | 6.40798 | + | 19.7217i | 0.343011 | + | 1.05568i | 0.962640 | + | 0.270785i | \(0.0872831\pi\) |
−0.619629 | + | 0.784895i | \(0.712717\pi\) | |||||||
\(350\) | −2.56932 | + | 2.85352i | −0.137336 | + | 0.152527i | ||||
\(351\) | 0.0190073 | + | 0.00846259i | 0.00101453 | + | 0.000451699i | ||||
\(352\) | 1.87860 | − | 0.399310i | 0.100130 | − | 0.0212833i | ||||
\(353\) | −3.55781 | − | 33.8503i | −0.189363 | − | 1.80167i | −0.516073 | − | 0.856545i | \(-0.672607\pi\) |
0.326710 | − | 0.945125i | \(-0.394060\pi\) | |||||||
\(354\) | 0.877372 | − | 8.34763i | 0.0466318 | − | 0.443672i | ||||
\(355\) | 2.21867 | + | 0.471593i | 0.117755 | + | 0.0250296i | ||||
\(356\) | 2.45978 | + | 1.78714i | 0.130368 | + | 0.0947181i | ||||
\(357\) | −22.5822 | − | 16.4069i | −1.19517 | − | 0.868345i | ||||
\(358\) | 7.58133 | + | 1.61146i | 0.400686 | + | 0.0851684i | ||||
\(359\) | 1.71258 | − | 16.2941i | 0.0903864 | − | 0.859969i | −0.851572 | − | 0.524238i | \(-0.824350\pi\) |
0.941958 | − | 0.335731i | \(-0.108983\pi\) | |||||||
\(360\) | 0.104528 | + | 0.994522i | 0.00550913 | + | 0.0524159i | ||||
\(361\) | −40.7460 | + | 8.66082i | −2.14452 | + | 0.455833i | ||||
\(362\) | 6.45882 | + | 2.87565i | 0.339468 | + | 0.151141i | ||||
\(363\) | 4.89228 | − | 5.43343i | 0.256778 | − | 0.285181i | ||||
\(364\) | −0.0246876 | − | 0.0759807i | −0.00129398 | − | 0.00398247i | ||||
\(365\) | −1.91387 | − | 2.12557i | −0.100176 | − | 0.111257i | ||||
\(366\) | 0.701328 | − | 1.21474i | 0.0366590 | − | 0.0634952i | ||||
\(367\) | 7.38953 | + | 12.7990i | 0.385730 | + | 0.668105i | 0.991870 | − | 0.127254i | \(-0.0406162\pi\) |
−0.606140 | + | 0.795358i | \(0.707283\pi\) | |||||||
\(368\) | −1.30949 | + | 4.03021i | −0.0682621 | + | 0.210089i | ||||
\(369\) | 10.7111 | − | 4.76889i | 0.557598 | − | 0.248259i | ||||
\(370\) | 0.301207 | − | 0.218840i | 0.0156590 | − | 0.0113769i | ||||
\(371\) | 48.7520 | 2.53108 | ||||||||
\(372\) | 5.55089 | + | 0.433118i | 0.287800 | + | 0.0224561i | ||||
\(373\) | 34.5412 | 1.78848 | 0.894238 | − | 0.447592i | \(-0.147718\pi\) | ||||
0.894238 | + | 0.447592i | \(0.147718\pi\) | |||||||
\(374\) | −11.2951 | + | 8.20636i | −0.584055 | + | 0.424341i | ||||
\(375\) | −0.913545 | + | 0.406737i | −0.0471753 | + | 0.0210038i | ||||
\(376\) | 0.530767 | − | 1.63353i | 0.0273722 | − | 0.0842431i | ||||
\(377\) | −0.0497284 | − | 0.0861321i | −0.00256114 | − | 0.00443603i | ||||
\(378\) | −1.91989 | + | 3.32535i | −0.0987487 | + | 0.171038i | ||||
\(379\) | 10.3671 | + | 11.5139i | 0.532524 | + | 0.591428i | 0.948037 | − | 0.318159i | \(-0.103065\pi\) |
−0.415513 | + | 0.909587i | \(0.636398\pi\) | |||||||
\(380\) | −2.40669 | − | 7.40703i | −0.123461 | − | 0.379973i | ||||
\(381\) | 5.24948 | − | 5.83014i | 0.268939 | − | 0.298687i | ||||
\(382\) | −3.55488 | − | 1.58273i | −0.181883 | − | 0.0809797i | ||||
\(383\) | −9.73674 | + | 2.06961i | −0.497524 | + | 0.105752i | −0.449838 | − | 0.893110i | \(-0.648518\pi\) |
−0.0476864 | + | 0.998862i | \(0.515185\pi\) | |||||||
\(384\) | −0.104528 | − | 0.994522i | −0.00533420 | − | 0.0507515i | ||||
\(385\) | −0.770855 | + | 7.33419i | −0.0392864 | + | 0.373785i | ||||
\(386\) | −16.9477 | − | 3.60234i | −0.862615 | − | 0.183355i | ||||
\(387\) | 6.44233 | + | 4.68062i | 0.327482 | + | 0.237930i | ||||
\(388\) | −3.20034 | − | 2.32518i | −0.162472 | − | 0.118043i | ||||
\(389\) | 12.3593 | + | 2.62706i | 0.626643 | + | 0.133197i | 0.510278 | − | 0.860009i | \(-0.329542\pi\) |
0.116365 | + | 0.993207i | \(0.462876\pi\) | |||||||
\(390\) | 0.00217483 | − | 0.0206921i | 0.000110127 | − | 0.00104778i | ||||
\(391\) | −3.22000 | − | 30.6363i | −0.162843 | − | 1.54934i | ||||
\(392\) | 7.57474 | − | 1.61006i | 0.382582 | − | 0.0813203i | ||||
\(393\) | −1.32539 | − | 0.590102i | −0.0668571 | − | 0.0297667i | ||||
\(394\) | −11.5569 | + | 12.8352i | −0.582228 | + | 0.646630i | ||||
\(395\) | −4.44862 | − | 13.6914i | −0.223834 | − | 0.688891i | ||||
\(396\) | 1.28511 | + | 1.42726i | 0.0645794 | + | 0.0717227i | ||||
\(397\) | 14.0009 | − | 24.2502i | 0.702684 | − | 1.21708i | −0.264836 | − | 0.964293i | \(-0.585318\pi\) |
0.967521 | − | 0.252792i | \(-0.0813487\pi\) | |||||||
\(398\) | 8.68286 | + | 15.0392i | 0.435233 | + | 0.753845i | ||||
\(399\) | 9.24118 | − | 28.4414i | 0.462637 | − | 1.42385i | ||||
\(400\) | 0.913545 | − | 0.406737i | 0.0456773 | − | 0.0203368i | ||||
\(401\) | 5.94698 | − | 4.32073i | 0.296978 | − | 0.215767i | −0.429311 | − | 0.903157i | \(-0.641244\pi\) |
0.726289 | + | 0.687390i | \(0.241244\pi\) | |||||||
\(402\) | 5.17415 | 0.258063 | ||||||||
\(403\) | −0.111095 | − | 0.0328267i | −0.00553403 | − | 0.00163522i | ||||
\(404\) | −5.10051 | −0.253760 | ||||||||
\(405\) | −0.809017 | + | 0.587785i | −0.0402004 | + | 0.0292073i | ||||
\(406\) | 16.7680 | − | 7.46561i | 0.832183 | − | 0.370512i | ||||
\(407\) | 0.220964 | − | 0.680056i | 0.0109528 | − | 0.0337091i | ||||
\(408\) | 3.63472 | + | 6.29552i | 0.179945 | + | 0.311675i | ||||
\(409\) | 13.1946 | − | 22.8537i | 0.652429 | − | 1.13004i | −0.330102 | − | 0.943945i | \(-0.607083\pi\) |
0.982532 | − | 0.186095i | \(-0.0595834\pi\) | |||||||
\(410\) | −7.84540 | − | 8.71320i | −0.387457 | − | 0.430314i | ||||
\(411\) | −0.0743875 | − | 0.228941i | −0.00366927 | − | 0.0112928i | ||||
\(412\) | −9.46029 | + | 10.5067i | −0.466075 | + | 0.517629i | ||||
\(413\) | −29.4433 | − | 13.1090i | −1.44881 | − | 0.645051i | ||||
\(414\) | −4.14501 | + | 0.881049i | −0.203716 | + | 0.0433012i | ||||
\(415\) | 0.0879827 | + | 0.837099i | 0.00431890 | + | 0.0410916i | ||||
\(416\) | −0.00217483 | + | 0.0206921i | −0.000106630 | + | 0.00101451i | ||||
\(417\) | −1.44448 | − | 0.307033i | −0.0707364 | − | 0.0150355i | ||||
\(418\) | −12.1011 | − | 8.79200i | −0.591886 | − | 0.430031i | ||||
\(419\) | −6.24100 | − | 4.53435i | −0.304893 | − | 0.221518i | 0.424809 | − | 0.905283i | \(-0.360341\pi\) |
−0.729702 | + | 0.683765i | \(0.760341\pi\) | |||||||
\(420\) | 3.75588 | + | 0.798336i | 0.183268 | + | 0.0389548i | ||||
\(421\) | −1.39099 | + | 13.2344i | −0.0677926 | + | 0.645004i | 0.906883 | + | 0.421382i | \(0.138455\pi\) |
−0.974676 | + | 0.223622i | \(0.928212\pi\) | |||||||
\(422\) | 0.979344 | + | 9.31783i | 0.0476737 | + | 0.453585i | ||||
\(423\) | 1.68007 | − | 0.357109i | 0.0816876 | − | 0.0173632i | ||||
\(424\) | −11.5989 | − | 5.16414i | −0.563290 | − | 0.250793i | ||||
\(425\) | −4.86420 | + | 5.40224i | −0.235949 | + | 0.262047i | ||||
\(426\) | −0.700924 | − | 2.15722i | −0.0339599 | − | 0.104518i | ||||
\(427\) | −3.60387 | − | 4.00250i | −0.174403 | − | 0.193695i | ||||
\(428\) | −4.37166 | + | 7.57194i | −0.211312 | + | 0.366004i | ||||
\(429\) | −0.0199798 | − | 0.0346060i | −0.000964633 | − | 0.00167079i | ||||
\(430\) | 2.46075 | − | 7.57341i | 0.118668 | − | 0.365222i | ||||
\(431\) | −26.7469 | + | 11.9085i | −1.28835 | + | 0.573612i | −0.932581 | − | 0.360961i | \(-0.882449\pi\) |
−0.355772 | + | 0.934573i | \(0.615782\pi\) | |||||||
\(432\) | 0.809017 | − | 0.587785i | 0.0389238 | − | 0.0282798i | ||||
\(433\) | 3.38912 | 0.162870 | 0.0814352 | − | 0.996679i | \(-0.474050\pi\) | ||||
0.0814352 | + | 0.996679i | \(0.474050\pi\) | |||||||
\(434\) | 8.16815 | − | 19.7571i | 0.392084 | − | 0.948373i | ||||
\(435\) | 4.78019 | 0.229192 | ||||||||
\(436\) | −5.32009 | + | 3.86527i | −0.254786 | + | 0.185113i | ||||
\(437\) | 30.1501 | − | 13.4237i | 1.44228 | − | 0.642142i | ||||
\(438\) | −0.883860 | + | 2.72024i | −0.0422324 | + | 0.129978i | ||||
\(439\) | 5.41154 | + | 9.37306i | 0.258279 | + | 0.447352i | 0.965781 | − | 0.259359i | \(-0.0835114\pi\) |
−0.707502 | + | 0.706711i | \(0.750178\pi\) | |||||||
\(440\) | 0.960287 | − | 1.66327i | 0.0457799 | − | 0.0792931i | ||||
\(441\) | 5.18172 | + | 5.75488i | 0.246749 | + | 0.274042i | ||||
\(442\) | −0.0467383 | − | 0.143846i | −0.00222311 | − | 0.00684204i | ||||
\(443\) | −0.502361 | + | 0.557928i | −0.0238679 | + | 0.0265080i | −0.754961 | − | 0.655770i | \(-0.772344\pi\) |
0.731093 | + | 0.682278i | \(0.239011\pi\) | |||||||
\(444\) | −0.340124 | − | 0.151433i | −0.0161416 | − | 0.00718669i | ||||
\(445\) | 2.97402 | − | 0.632147i | 0.140982 | − | 0.0299667i | ||||
\(446\) | 1.50386 | + | 14.3083i | 0.0712098 | + | 0.677516i | ||||
\(447\) | 1.80517 | − | 17.1750i | 0.0853815 | − | 0.812350i | ||||
\(448\) | −3.75588 | − | 0.798336i | −0.177449 | − | 0.0377179i | ||||
\(449\) | 17.6279 | + | 12.8074i | 0.831913 | + | 0.604420i | 0.920100 | − | 0.391684i | \(-0.128107\pi\) |
−0.0881867 | + | 0.996104i | \(0.528107\pi\) | |||||||
\(450\) | 0.809017 | + | 0.587785i | 0.0381374 | + | 0.0277085i | ||||
\(451\) | −22.0262 | − | 4.68181i | −1.03717 | − | 0.220458i | ||||
\(452\) | −1.55225 | + | 14.7686i | −0.0730115 | + | 0.694658i | ||||
\(453\) | 0.246241 | + | 2.34283i | 0.0115694 | + | 0.110076i | ||||
\(454\) | −5.26462 | + | 1.11903i | −0.247081 | + | 0.0525187i | ||||
\(455\) | −0.0729839 | − | 0.0324945i | −0.00342154 | − | 0.00152337i | ||||
\(456\) | −5.21133 | + | 5.78777i | −0.244043 | + | 0.271037i | ||||
\(457\) | 7.19903 | + | 22.1563i | 0.336756 | + | 1.03643i | 0.965850 | + | 0.259100i | \(0.0834260\pi\) |
−0.629094 | + | 0.777329i | \(0.716574\pi\) | |||||||
\(458\) | −16.8393 | − | 18.7019i | −0.786848 | − | 0.873883i | ||||
\(459\) | −3.63472 | + | 6.29552i | −0.169654 | + | 0.293850i | ||||
\(460\) | 2.11880 | + | 3.66988i | 0.0987898 | + | 0.171109i | ||||
\(461\) | −6.16250 | + | 18.9662i | −0.287016 | + | 0.883346i | 0.698771 | + | 0.715346i | \(0.253731\pi\) |
−0.985787 | + | 0.168000i | \(0.946269\pi\) | |||||||
\(462\) | 6.73703 | − | 2.99952i | 0.313435 | − | 0.139550i | ||||
\(463\) | 15.3939 | − | 11.1844i | 0.715417 | − | 0.519781i | −0.169500 | − | 0.985530i | \(-0.554215\pi\) |
0.884917 | + | 0.465749i | \(0.154215\pi\) | |||||||
\(464\) | −4.78019 | −0.221915 | ||||||||
\(465\) | 4.03614 | − | 3.83530i | 0.187172 | − | 0.177858i | ||||
\(466\) | −7.56086 | −0.350250 | ||||||||
\(467\) | −20.2743 | + | 14.7301i | −0.938182 | + | 0.681629i | −0.947982 | − | 0.318323i | \(-0.896881\pi\) |
0.00979999 | + | 0.999952i | \(0.496881\pi\) | |||||||
\(468\) | −0.0190073 | + | 0.00846259i | −0.000878612 | + | 0.000391183i | ||||
\(469\) | 6.13944 | − | 18.8952i | 0.283493 | − | 0.872501i | ||||
\(470\) | −0.858800 | − | 1.48748i | −0.0396135 | − | 0.0686125i | ||||
\(471\) | 9.24222 | − | 16.0080i | 0.425859 | − | 0.737609i | ||||
\(472\) | 5.61642 | + | 6.23767i | 0.258517 | + | 0.287112i | ||||
\(473\) | −4.72605 | − | 14.5453i | −0.217304 | − | 0.668793i | ||||
\(474\) | −9.63283 | + | 10.6983i | −0.442451 | + | 0.491391i | ||||
\(475\) | −7.11489 | − | 3.16775i | −0.326453 | − | 0.145346i | ||||
\(476\) | 27.3031 | − | 5.80346i | 1.25144 | − | 0.266001i | ||||
\(477\) | −1.32715 | − | 12.6270i | −0.0607660 | − | 0.578149i | ||||
\(478\) | 2.25474 | − | 21.4524i | 0.103129 | − | 0.981210i | ||||
\(479\) | −15.4875 | − | 3.29197i | −0.707643 | − | 0.150414i | −0.159988 | − | 0.987119i | \(-0.551146\pi\) |
−0.547654 | + | 0.836705i | \(0.684479\pi\) | |||||||
\(480\) | −0.809017 | − | 0.587785i | −0.0369264 | − | 0.0268286i | ||||
\(481\) | 0.00626693 | + | 0.00455319i | 0.000285747 | + | 0.000207608i | ||||
\(482\) | −24.3276 | − | 5.17098i | −1.10809 | − | 0.235532i | ||||
\(483\) | −1.70084 | + | 16.1824i | −0.0773907 | + | 0.736324i | ||||
\(484\) | 0.764249 | + | 7.27134i | 0.0347386 | + | 0.330516i | ||||
\(485\) | −3.86939 | + | 0.822464i | −0.175700 | + | 0.0373462i | ||||
\(486\) | 0.913545 | + | 0.406737i | 0.0414393 | + | 0.0184499i | ||||
\(487\) | 14.6667 | − | 16.2890i | 0.664611 | − | 0.738126i | −0.312719 | − | 0.949846i | \(-0.601240\pi\) |
0.977330 | + | 0.211720i | \(0.0679065\pi\) | |||||||
\(488\) | 0.433444 | + | 1.33400i | 0.0196211 | + | 0.0603875i | ||||
\(489\) | −5.40762 | − | 6.00577i | −0.244541 | − | 0.271590i | ||||
\(490\) | 3.87198 | − | 6.70647i | 0.174918 | − | 0.302967i | ||||
\(491\) | −5.61632 | − | 9.72776i | −0.253461 | − | 0.439008i | 0.711015 | − | 0.703177i | \(-0.248236\pi\) |
−0.964476 | + | 0.264169i | \(0.914902\pi\) | |||||||
\(492\) | −3.62315 | + | 11.1509i | −0.163344 | + | 0.502722i | ||||
\(493\) | 31.7450 | − | 14.1338i | 1.42972 | − | 0.636554i | ||||
\(494\) | 0.131095 | − | 0.0952459i | 0.00589823 | − | 0.00428532i | ||||
\(495\) | 1.92057 | 0.0863234 | ||||||||
\(496\) | −4.03614 | + | 3.83530i | −0.181228 | + | 0.172210i | ||||
\(497\) | −8.70955 | −0.390677 | ||||||||
\(498\) | 0.680958 | − | 0.494745i | 0.0305145 | − | 0.0221701i | ||||
\(499\) | −15.6970 | + | 6.98877i | −0.702696 | + | 0.312860i | −0.726800 | − | 0.686849i | \(-0.758993\pi\) |
0.0241044 | + | 0.999709i | \(0.492327\pi\) | |||||||
\(500\) | 0.309017 | − | 0.951057i | 0.0138197 | − | 0.0425325i | ||||
\(501\) | 8.44846 | + | 14.6332i | 0.377449 | + | 0.653762i | ||||
\(502\) | 8.13420 | − | 14.0889i | 0.363047 | − | 0.628816i | ||||
\(503\) | 5.14274 | + | 5.71159i | 0.229303 | + | 0.254667i | 0.846806 | − | 0.531901i | \(-0.178522\pi\) |
−0.617503 | + | 0.786569i | \(0.711856\pi\) | |||||||
\(504\) | −1.18656 | − | 3.65185i | −0.0528536 | − | 0.162667i | ||||
\(505\) | −3.41291 | + | 3.79042i | −0.151872 | + | 0.168671i | ||||
\(506\) | 7.43502 | + | 3.31028i | 0.330527 | + | 0.147160i | ||||
\(507\) | −12.7155 | + | 2.70276i | −0.564715 | + | 0.120034i | ||||
\(508\) | 0.820049 | + | 7.80225i | 0.0363838 | + | 0.346169i | ||||
\(509\) | 1.62739 | − | 15.4836i | 0.0721327 | − | 0.686297i | −0.897380 | − | 0.441258i | \(-0.854532\pi\) |
0.969513 | − | 0.245039i | \(-0.0788009\pi\) | |||||||
\(510\) | 7.11058 | + | 1.51140i | 0.314862 | + | 0.0669260i | ||||
\(511\) | 8.88517 | + | 6.45545i | 0.393057 | + | 0.285572i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | −7.61802 | − | 1.61926i | −0.336344 | − | 0.0714921i | ||||
\(514\) | 2.80739 | − | 26.7105i | 0.123829 | − | 1.17815i | ||||
\(515\) | 1.47784 | + | 14.0607i | 0.0651215 | + | 0.619590i | ||||
\(516\) | −7.78914 | + | 1.65563i | −0.342898 | + | 0.0728852i | ||||
\(517\) | −3.01358 | − | 1.34173i | −0.132537 | − | 0.0590093i | ||||
\(518\) | −0.956589 | + | 1.06240i | −0.0420301 | + | 0.0466791i | ||||
\(519\) | 7.50731 | + | 23.1051i | 0.329534 | + | 1.01420i | ||||
\(520\) | 0.0139220 | + | 0.0154619i | 0.000610519 | + | 0.000678050i | ||||
\(521\) | −15.6746 | + | 27.1493i | −0.686719 | + | 1.18943i | 0.286175 | + | 0.958177i | \(0.407616\pi\) |
−0.972893 | + | 0.231254i | \(0.925717\pi\) | |||||||
\(522\) | −2.39009 | − | 4.13976i | −0.104612 | − | 0.181192i | ||||
\(523\) | 12.8734 | − | 39.6203i | 0.562915 | − | 1.73248i | −0.111150 | − | 0.993804i | \(-0.535453\pi\) |
0.674065 | − | 0.738672i | \(-0.264547\pi\) | |||||||
\(524\) | 1.32539 | − | 0.590102i | 0.0578999 | − | 0.0257787i | ||||
\(525\) | 3.10645 | − | 2.25697i | 0.135577 | − | 0.0985022i | ||||
\(526\) | 5.82704 | 0.254071 | ||||||||
\(527\) | 15.4638 | − | 37.4040i | 0.673615 | − | 1.62934i | ||||
\(528\) | −1.92057 | −0.0835822 | ||||||||
\(529\) | 4.07960 | − | 2.96400i | 0.177374 | − | 0.128870i | ||||
\(530\) | −11.5989 | + | 5.16414i | −0.503822 | + | 0.224316i | ||||
\(531\) | −2.59377 | + | 7.98280i | −0.112560 | + | 0.346424i | ||||
\(532\) | 14.9525 | + | 25.8986i | 0.648275 | + | 1.12284i | ||||
\(533\) | 0.121973 | − | 0.211264i | 0.00528324 | − | 0.00915084i | ||||
\(534\) | −2.03447 | − | 2.25950i | −0.0880399 | − | 0.0977783i | ||||
\(535\) | 2.70184 | + | 8.31540i | 0.116811 | + | 0.359506i | ||||
\(536\) | −3.46218 | + | 3.84514i | −0.149544 | + | 0.166085i | ||||
\(537\) | −7.08062 | − | 3.15249i | −0.305551 | − | 0.136040i | ||||
\(538\) | 18.6906 | − | 3.97281i | 0.805810 | − | 0.171280i | ||||
\(539\) | −1.55464 | − | 14.7914i | −0.0669629 | − | 0.637109i | ||||
\(540\) | 0.104528 | − | 0.994522i | 0.00449819 | − | 0.0427974i | ||||
\(541\) | 23.6322 | + | 5.02319i | 1.01603 | + | 0.215964i | 0.685686 | − | 0.727897i | \(-0.259502\pi\) |
0.330343 | + | 0.943861i | \(0.392835\pi\) | |||||||
\(542\) | −11.4152 | − | 8.29360i | −0.490323 | − | 0.356241i | ||||
\(543\) | −5.71980 | − | 4.15568i | −0.245460 | − | 0.178337i | ||||
\(544\) | −7.11058 | − | 1.51140i | −0.304864 | − | 0.0648008i | ||||
\(545\) | −0.687378 | + | 6.53996i | −0.0294440 | + | 0.280141i | ||||
\(546\) | 0.00835086 | + | 0.0794532i | 0.000357384 | + | 0.00340028i | ||||
\(547\) | −6.72953 | + | 1.43040i | −0.287734 | + | 0.0611597i | −0.349517 | − | 0.936930i | \(-0.613654\pi\) |
0.0617837 | + | 0.998090i | \(0.480321\pi\) | |||||||
\(548\) | 0.219912 | + | 0.0979109i | 0.00939416 | + | 0.00418255i | ||||
\(549\) | −0.938560 | + | 1.04238i | −0.0400567 | + | 0.0444875i | ||||
\(550\) | −0.593490 | − | 1.82657i | −0.0253065 | − | 0.0778854i | ||||
\(551\) | 24.9111 | + | 27.6666i | 1.06125 | + | 1.17864i | ||||
\(552\) | 2.11880 | − | 3.66988i | 0.0901823 | − | 0.156200i | ||||
\(553\) | 27.6389 | + | 47.8719i | 1.17532 | + | 2.03572i | ||||
\(554\) | −6.61039 | + | 20.3447i | −0.280848 | + | 0.864363i | ||||
\(555\) | −0.340124 | + | 0.151433i | −0.0144375 | + | 0.00642797i | ||||
\(556\) | 1.19471 | − | 0.868011i | 0.0506672 | − | 0.0368119i | ||||
\(557\) | −30.1588 | −1.27787 | −0.638935 | − | 0.769260i | \(-0.720625\pi\) | ||||
−0.638935 | + | 0.769260i | \(0.720625\pi\) | |||||||
\(558\) | −5.33954 | − | 1.57775i | −0.226041 | − | 0.0667914i | ||||
\(559\) | 0.165682 | 0.00700760 | ||||||||
\(560\) | −3.10645 | + | 2.25697i | −0.131272 | + | 0.0953744i | ||||
\(561\) | 12.7545 | − | 5.67865i | 0.538494 | − | 0.239753i | ||||
\(562\) | −6.46807 | + | 19.9067i | −0.272839 | + | 0.839713i | ||||
\(563\) | 0.602266 | + | 1.04316i | 0.0253825 | + | 0.0439638i | 0.878438 | − | 0.477857i | \(-0.158586\pi\) |
−0.853055 | + | 0.521821i | \(0.825253\pi\) | |||||||
\(564\) | −0.858800 | + | 1.48748i | −0.0361620 | + | 0.0626344i | ||||
\(565\) | 9.93658 | + | 11.0357i | 0.418035 | + | 0.464275i | ||||
\(566\) | 3.03256 | + | 9.33327i | 0.127468 | + | 0.392307i | ||||
\(567\) | 2.56932 | − | 2.85352i | 0.107901 | − | 0.119836i | ||||
\(568\) | 2.07214 | + | 0.922576i | 0.0869450 | + | 0.0387104i | ||||
\(569\) | −32.3324 | + | 6.87246i | −1.35544 | + | 0.288109i | −0.827641 | − | 0.561258i | \(-0.810318\pi\) |
−0.527803 | + | 0.849367i | \(0.676984\pi\) | |||||||
\(570\) | 0.814090 | + | 7.74555i | 0.0340985 | + | 0.324425i | ||||
\(571\) | 3.37493 | − | 32.1103i | 0.141236 | − | 1.34377i | −0.662622 | − | 0.748954i | \(-0.730557\pi\) |
0.803859 | − | 0.594820i | \(-0.202777\pi\) | |||||||
\(572\) | 0.0390864 | + | 0.00830806i | 0.00163428 | + | 0.000347378i | ||||
\(573\) | 3.14813 | + | 2.28725i | 0.131515 | + | 0.0955512i | ||||
\(574\) | 36.4224 | + | 26.4625i | 1.52024 | + | 1.10452i | ||||
\(575\) | 4.14501 | + | 0.881049i | 0.172859 | + | 0.0367423i | ||||
\(576\) | −0.104528 | + | 0.994522i | −0.00435535 | + | 0.0414384i | ||||
\(577\) | −3.13292 | − | 29.8077i | −0.130425 | − | 1.24091i | −0.842457 | − | 0.538764i | \(-0.818892\pi\) |
0.712032 | − | 0.702147i | \(-0.247775\pi\) | |||||||
\(578\) | 35.0614 | − | 7.45254i | 1.45836 | − | 0.309985i | ||||
\(579\) | 15.8284 | + | 7.04725i | 0.657805 | + | 0.292874i | ||||
\(580\) | −3.19857 | + | 3.55237i | −0.132813 | + | 0.147504i | ||||
\(581\) | −0.998739 | − | 3.07380i | −0.0414347 | − | 0.127523i | ||||
\(582\) | 2.64697 | + | 2.93976i | 0.109720 | + | 0.121857i | ||||
\(583\) | −12.1923 | + | 21.1177i | −0.504954 | + | 0.874606i | ||||
\(584\) | −1.43011 | − | 2.47703i | −0.0591786 | − | 0.102500i | ||||
\(585\) | −0.00642943 | + | 0.0197877i | −0.000265824 | + | 0.000818122i | ||||
\(586\) | −20.8931 | + | 9.30221i | −0.863086 | + | 0.384271i | ||||
\(587\) | −29.3254 | + | 21.3061i | −1.21039 | + | 0.879398i | −0.995266 | − | 0.0971899i | \(-0.969015\pi\) |
−0.215121 | + | 0.976587i | \(0.569015\pi\) | |||||||
\(588\) | −7.74396 | −0.319356 | ||||||||
\(589\) | 43.2315 | + | 3.37321i | 1.78132 | + | 0.138991i | ||||
\(590\) | 8.39361 | 0.345560 | ||||||||
\(591\) | 13.9729 | − | 10.1519i | 0.574770 | − | 0.417595i | ||||
\(592\) | 0.340124 | − | 0.151433i | 0.0139790 | − | 0.00622386i | ||||
\(593\) | 8.21268 | − | 25.2760i | 0.337254 | − | 1.03796i | −0.628347 | − | 0.777933i | \(-0.716268\pi\) |
0.965601 | − | 0.260028i | \(-0.0837319\pi\) | |||||||
\(594\) | −0.960287 | − | 1.66327i | −0.0394010 | − | 0.0682446i | ||||
\(595\) | 13.9565 | − | 24.1734i | 0.572162 | − | 0.991015i | ||||
\(596\) | 11.5556 | + | 12.8338i | 0.473337 | + | 0.525694i | ||||
\(597\) | −5.36631 | − | 16.5158i | −0.219628 | − | 0.675946i | ||||
\(598\) | −0.0589959 | + | 0.0655216i | −0.00241252 | + | 0.00267938i | ||||
\(599\) | −29.4413 | − | 13.1081i | −1.20294 | − | 0.535584i | −0.295329 | − | 0.955395i | \(-0.595429\pi\) |
−0.907611 | + | 0.419812i | \(0.862096\pi\) | |||||||
\(600\) | −0.978148 | + | 0.207912i | −0.0399327 | + | 0.00848796i | ||||
\(601\) | 2.53541 | + | 24.1228i | 0.103421 | + | 0.983989i | 0.916011 | + | 0.401153i | \(0.131390\pi\) |
−0.812590 | + | 0.582836i | \(0.801943\pi\) | |||||||
\(602\) | −3.19615 | + | 30.4093i | −0.130265 | + | 1.23939i | ||||
\(603\) | −5.06108 | − | 1.07577i | −0.206103 | − | 0.0438086i | ||||
\(604\) | −1.90583 | − | 1.38466i | −0.0775470 | − | 0.0563412i | ||||
\(605\) | 5.91504 | + | 4.29753i | 0.240481 | + | 0.174719i | ||||
\(606\) | 4.98905 | + | 1.06046i | 0.202666 | + | 0.0430781i | ||||
\(607\) | −3.43317 | + | 32.6644i | −0.139348 | + | 1.32581i | 0.671698 | + | 0.740825i | \(0.265565\pi\) |
−0.811046 | + | 0.584983i | \(0.801101\pi\) | |||||||
\(608\) | −0.814090 | − | 7.74555i | −0.0330157 | − | 0.314123i | ||||
\(609\) | −17.9538 | + | 3.81620i | −0.727525 | + | 0.154640i | ||||
\(610\) | 1.28139 | + | 0.570511i | 0.0518819 | + | 0.0230993i | ||||
\(611\) | 0.0239124 | − | 0.0265574i | 0.000967391 | − | 0.00107440i | ||||
\(612\) | −2.24638 | − | 6.91365i | −0.0908045 | − | 0.279468i | ||||
\(613\) | −26.3208 | − | 29.2322i | −1.06309 | − | 1.18068i | −0.982946 | − | 0.183896i | \(-0.941129\pi\) |
−0.0801423 | − | 0.996783i | \(-0.525537\pi\) | |||||||
\(614\) | 10.5176 | − | 18.2170i | 0.424455 | − | 0.735177i | ||||
\(615\) | 5.86239 | + | 10.1539i | 0.236394 | + | 0.409447i | ||||
\(616\) | −2.27887 | + | 7.01365i | −0.0918185 | + | 0.282588i | ||||
\(617\) | 8.56710 | − | 3.81432i | 0.344898 | − | 0.153559i | −0.226975 | − | 0.973901i | \(-0.572884\pi\) |
0.571873 | + | 0.820342i | \(0.306217\pi\) | |||||||
\(618\) | 11.4380 | − | 8.31022i | 0.460105 | − | 0.334286i | ||||
\(619\) | −22.7775 | −0.915507 | −0.457753 | − | 0.889079i | \(-0.651346\pi\) | ||||
−0.457753 | + | 0.889079i | \(0.651346\pi\) | |||||||
\(620\) | 0.149481 | + | 5.56576i | 0.00600330 | + | 0.223526i | ||||
\(621\) | 4.23761 | 0.170049 | ||||||||
\(622\) | 20.0288 | − | 14.5518i | 0.803081 | − | 0.583472i | ||||
\(623\) | −10.6654 | + | 4.74854i | −0.427300 | + | 0.190246i | ||||
\(624\) | 0.00642943 | − | 0.0197877i | 0.000257383 | − | 0.000792143i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 10.2966 | − | 17.8343i | 0.411537 | − | 0.712802i | ||||
\(627\) | 10.0087 | + | 11.1158i | 0.399711 | + | 0.443924i | ||||
\(628\) | 5.71200 | + | 17.5797i | 0.227934 | + | 0.701508i | ||||
\(629\) | −1.81100 | + | 2.01132i | −0.0722094 | + | 0.0801966i | ||||
\(630\) | −3.50782 | − | 1.56178i | −0.139755 | − | 0.0622229i | ||||
\(631\) | −32.4758 | + | 6.90294i | −1.29284 | + | 0.274802i | −0.802459 | − | 0.596707i | \(-0.796475\pi\) |
−0.490380 | + | 0.871509i | \(0.663142\pi\) | |||||||
\(632\) | −1.50480 | − | 14.3172i | −0.0598576 | − | 0.569507i | ||||
\(633\) | 0.979344 | − | 9.31783i | 0.0389254 | − | 0.370351i | ||||
\(634\) | −17.9073 | − | 3.80632i | −0.711191 | − | 0.151168i | ||||
\(635\) | 6.34692 | + | 4.61131i | 0.251870 | + | 0.182994i | ||||
\(636\) | 10.2717 | + | 7.46283i | 0.407300 | + | 0.295921i | ||||
\(637\) | 0.157600 | + | 0.0334990i | 0.00624436 | + | 0.00132728i | ||||
\(638\) | −0.959645 | + | 9.13041i | −0.0379927 | + | 0.361476i | ||||
\(639\) | 0.237095 | + | 2.25581i | 0.00937935 | + | 0.0892386i | ||||
\(640\) | 0.978148 | − | 0.207912i | 0.0386647 | − | 0.00821843i | ||||
\(641\) | 17.3142 | + | 7.70879i | 0.683871 | + | 0.304479i | 0.719106 | − | 0.694900i | \(-0.244551\pi\) |
−0.0352356 | + | 0.999379i | \(0.511218\pi\) | |||||||
\(642\) | 5.85043 | − | 6.49756i | 0.230898 | − | 0.256438i | ||||
\(643\) | −3.92711 | − | 12.0864i | −0.154870 | − | 0.476641i | 0.843278 | − | 0.537478i | \(-0.180623\pi\) |
−0.998148 | + | 0.0608371i | \(0.980623\pi\) | |||||||
\(644\) | −10.8878 | − | 12.0921i | −0.429038 | − | 0.476495i | ||||
\(645\) | −3.98158 | + | 6.89629i | −0.156774 | + | 0.271541i | ||||
\(646\) | 28.3080 | + | 49.0308i | 1.11376 | + | 1.92909i | ||||
\(647\) | 11.7566 | − | 36.1830i | 0.462198 | − | 1.42250i | −0.400275 | − | 0.916395i | \(-0.631085\pi\) |
0.862473 | − | 0.506104i | \(-0.168915\pi\) | |||||||
\(648\) | −0.913545 | + | 0.406737i | −0.0358875 | + | 0.0159781i | ||||
\(649\) | 13.0418 | − | 9.47543i | 0.511936 | − | 0.371943i | ||||
\(650\) | 0.0208061 | 0.000816081 | ||||||||
\(651\) | −12.0974 | + | 17.6271i | −0.474134 | + | 0.690862i | ||||
\(652\) | 8.08156 | 0.316498 | ||||||||
\(653\) | 34.9996 | − | 25.4287i | 1.36964 | − | 0.995100i | 0.371873 | − | 0.928284i | \(-0.378716\pi\) |
0.997765 | − | 0.0668169i | \(-0.0212843\pi\) | |||||||
\(654\) | 6.00746 | − | 2.67470i | 0.234910 | − | 0.104589i | ||||
\(655\) | 0.448328 | − | 1.37981i | 0.0175176 | − | 0.0539137i | ||||
\(656\) | −5.86239 | − | 10.1539i | −0.228888 | − | 0.396445i | ||||
\(657\) | 1.43011 | − | 2.47703i | 0.0557941 | − | 0.0966382i | ||||
\(658\) | 4.41306 | + | 4.90120i | 0.172039 | + | 0.191069i | ||||
\(659\) | −5.81950 | − | 17.9106i | −0.226696 | − | 0.697697i | −0.998115 | − | 0.0613702i | \(-0.980453\pi\) |
0.771420 | − | 0.636327i | \(-0.219547\pi\) | |||||||
\(660\) | −1.28511 | + | 1.42726i | −0.0500230 | + | 0.0555562i | ||||
\(661\) | −0.768172 | − | 0.342012i | −0.0298784 | − | 0.0133027i | 0.391743 | − | 0.920075i | \(-0.371872\pi\) |
−0.421621 | + | 0.906772i | \(0.638539\pi\) | |||||||
\(662\) | −17.7644 | + | 3.77594i | −0.690433 | + | 0.146756i | ||||
\(663\) | 0.0158098 | + | 0.150420i | 0.000614000 | + | 0.00584182i | ||||
\(664\) | −0.0879827 | + | 0.837099i | −0.00341439 | + | 0.0324858i | ||||
\(665\) | 29.2516 | + | 6.21761i | 1.13433 | + | 0.241109i | ||||
\(666\) | 0.301207 | + | 0.218840i | 0.0116715 | + | 0.00847986i | ||||
\(667\) | −16.3879 | − | 11.9065i | −0.634542 | − | 0.461022i | ||||
\(668\) | −16.5277 | − | 3.51307i | −0.639475 | − | 0.135925i | ||||
\(669\) | 1.50386 | − | 14.3083i | 0.0581425 | − | 0.553189i | ||||
\(670\) | 0.540846 | + | 5.14581i | 0.0208947 | + | 0.198800i | ||||
\(671\) | 2.63503 | − | 0.560094i | 0.101724 | − | 0.0216222i | ||||
\(672\) | 3.50782 | + | 1.56178i | 0.135317 | + | 0.0602470i | ||||
\(673\) | −23.9459 | + | 26.5946i | −0.923045 | + | 1.02515i | 0.0765607 | + | 0.997065i | \(0.475606\pi\) |
−0.999606 | + | 0.0280804i | \(0.991061\pi\) | |||||||
\(674\) | −1.36987 | − | 4.21602i | −0.0527653 | − | 0.162395i | ||||
\(675\) | −0.669131 | − | 0.743145i | −0.0257548 | − | 0.0286037i | ||||
\(676\) | 6.49978 | − | 11.2580i | 0.249992 | − | 0.432998i | ||||
\(677\) | 12.3925 | + | 21.4644i | 0.476281 | + | 0.824942i | 0.999631 | − | 0.0271754i | \(-0.00865126\pi\) |
−0.523350 | + | 0.852118i | \(0.675318\pi\) | |||||||
\(678\) | 4.58890 | − | 14.1232i | 0.176236 | − | 0.542397i | ||||
\(679\) | 13.8763 | − | 6.17815i | 0.532525 | − | 0.237096i | ||||
\(680\) | −5.88110 | + | 4.27287i | −0.225530 | + | 0.163857i | ||||
\(681\) | 5.38224 | 0.206248 | ||||||||
\(682\) | 6.51536 | + | 8.47920i | 0.249486 | + | 0.324685i | ||||
\(683\) | −44.5543 | −1.70482 | −0.852411 | − | 0.522873i | \(-0.824860\pi\) | ||||
−0.852411 | + | 0.522873i | \(0.824860\pi\) | |||||||
\(684\) | 6.30080 | − | 4.57780i | 0.240917 | − | 0.175036i | ||||
\(685\) | 0.219912 | − | 0.0979109i | 0.00840239 | − | 0.00374098i | ||||
\(686\) | −0.882752 | + | 2.71683i | −0.0337036 | + | 0.103729i | ||||
\(687\) | 12.5830 | + | 21.7943i | 0.480070 | + | 0.831505i | ||||
\(688\) | 3.98158 | − | 6.89629i | 0.151796 | − | 0.262919i | ||||
\(689\) | −0.176761 | − | 0.196313i | −0.00673405 | − | 0.00747892i | ||||
\(690\) | −1.30949 | − | 4.03021i | −0.0498516 | − | 0.153427i | ||||
\(691\) | 28.1454 | − | 31.2587i | 1.07070 | − | 1.18914i | 0.0895334 | − | 0.995984i | \(-0.471462\pi\) |
0.981169 | − | 0.193152i | \(-0.0618709\pi\) | |||||||
\(692\) | −22.1938 | − | 9.88132i | −0.843682 | − | 0.375632i | ||||
\(693\) | −7.21344 | + | 1.53326i | −0.274016 | + | 0.0582439i | ||||
\(694\) | −1.20341 | − | 11.4497i | −0.0456809 | − | 0.434625i | ||||
\(695\) | 0.154362 | − | 1.46866i | 0.00585529 | − | 0.0557094i | ||||
\(696\) | 4.67573 | + | 0.993857i | 0.177233 | + | 0.0376720i | ||||
\(697\) | 68.9545 | + | 50.0984i | 2.61184 | + | 1.89761i | ||||
\(698\) | 16.7763 | + | 12.1887i | 0.634992 | + | 0.461349i | ||||
\(699\) | 7.39564 | + | 1.57199i | 0.279729 | + | 0.0594582i | ||||
\(700\) | −0.401367 | + | 3.81875i | −0.0151702 | + | 0.144335i | ||||
\(701\) | −0.687616 | − | 6.54223i | −0.0259709 | − | 0.247097i | −0.999803 | − | 0.0198295i | \(-0.993688\pi\) |
0.973832 | − | 0.227267i | \(-0.0729790\pi\) | |||||||
\(702\) | 0.0203514 | − | 0.00432582i | 0.000768114 | − | 0.000163268i | ||||
\(703\) | −2.64896 | − | 1.17939i | −0.0999074 | − | 0.0444816i | ||||
\(704\) | 1.28511 | − | 1.42726i | 0.0484346 | − | 0.0537921i | ||||
\(705\) | 0.530767 | + | 1.63353i | 0.0199899 | + | 0.0615224i | ||||
\(706\) | −22.7750 | − | 25.2942i | −0.857150 | − | 0.951961i | ||||
\(707\) | 9.79244 | − | 16.9610i | 0.368283 | − | 0.637884i | ||||
\(708\) | −4.19681 | − | 7.26908i | −0.157726 | − | 0.273189i | ||||
\(709\) | −5.29360 | + | 16.2920i | −0.198805 | + | 0.611860i | 0.801106 | + | 0.598523i | \(0.204245\pi\) |
−0.999911 | + | 0.0133371i | \(0.995755\pi\) | |||||||
\(710\) | 2.07214 | − | 0.922576i | 0.0777660 | − | 0.0346236i | ||||
\(711\) | 11.6466 | − | 8.46178i | 0.436783 | − | 0.317342i | ||||
\(712\) | 3.04046 | 0.113946 | ||||||||
\(713\) | −23.3901 | + | 3.09533i | −0.875966 | + | 0.115921i | ||||
\(714\) | −27.9131 | −1.04462 | ||||||||
\(715\) | 0.0323280 | − | 0.0234876i | 0.00120900 | − | 0.000878388i | ||||
\(716\) | 7.08062 | − | 3.15249i | 0.264615 | − | 0.117814i | ||||
\(717\) | −6.66567 | + | 20.5148i | −0.248934 | + | 0.766140i | ||||
\(718\) | −8.19192 | − | 14.1888i | −0.305720 | − | 0.529522i | ||||
\(719\) | −0.517248 | + | 0.895900i | −0.0192901 | + | 0.0334114i | −0.875509 | − | 0.483201i | \(-0.839474\pi\) |
0.856219 | + | 0.516613i | \(0.172807\pi\) | |||||||
\(720\) | 0.669131 | + | 0.743145i | 0.0249370 | + | 0.0276954i | ||||
\(721\) | −16.7758 | − | 51.6306i | −0.624763 | − | 1.92282i | ||||
\(722\) | −27.8735 | + | 30.9566i | −1.03734 | + | 1.15209i | ||||
\(723\) | 22.7208 | + | 10.1160i | 0.844997 | + | 0.376217i | ||||
\(724\) | 6.91556 | − | 1.46995i | 0.257015 | − | 0.0546302i | ||||
\(725\) | 0.499666 | + | 4.75400i | 0.0185571 | + | 0.176559i | ||||
\(726\) | 0.764249 | − | 7.27134i | 0.0283639 | − | 0.269865i | ||||
\(727\) | 45.8137 | + | 9.73800i | 1.69914 | + | 0.361162i | 0.952610 | − | 0.304195i | \(-0.0983873\pi\) |
0.746525 | + | 0.665357i | \(0.231721\pi\) | |||||||
\(728\) | −0.0646330 | − | 0.0469586i | −0.00239546 | − | 0.00174040i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | −2.79773 | − | 0.594675i | −0.103549 | − | 0.0220099i | ||||
\(731\) | −6.05091 | + | 57.5705i | −0.223801 | + | 2.12932i | ||||
\(732\) | −0.146617 | − | 1.39497i | −0.00541914 | − | 0.0515596i | ||||
\(733\) | 1.36498 | − | 0.290135i | 0.0504166 | − | 0.0107164i | −0.182634 | − | 0.983181i | \(-0.558462\pi\) |
0.233051 | + | 0.972465i | \(0.425129\pi\) | |||||||
\(734\) | 13.5013 | + | 6.01119i | 0.498344 | + | 0.221877i | ||||
\(735\) | −5.18172 | + | 5.75488i | −0.191131 | + | 0.212272i | ||||
\(736\) | 1.30949 | + | 4.03021i | 0.0482686 | + | 0.148555i | ||||
\(737\) | 6.64938 | + | 7.38488i | 0.244933 | + | 0.272026i | ||||
\(738\) | 5.86239 | − | 10.1539i | 0.215797 | − | 0.373772i | ||||
\(739\) | 10.3103 | + | 17.8579i | 0.379269 | + | 0.656914i | 0.990956 | − | 0.134186i | \(-0.0428421\pi\) |
−0.611687 | + | 0.791100i | \(0.709509\pi\) | |||||||
\(740\) | 0.115051 | − | 0.354090i | 0.00422935 | − | 0.0130166i | ||||
\(741\) | −0.148033 | + | 0.0659084i | −0.00543812 | + | 0.00242121i | ||||
\(742\) | 39.4412 | − | 28.6557i | 1.44793 | − | 1.05198i | ||||
\(743\) | 7.82456 | 0.287055 | 0.143528 | − | 0.989646i | \(-0.454155\pi\) | ||||
0.143528 | + | 0.989646i | \(0.454155\pi\) | |||||||
\(744\) | 4.74535 | − | 2.91233i | 0.173973 | − | 0.106771i | ||||
\(745\) | 17.2696 | 0.632710 | ||||||||
\(746\) | 27.9444 | − | 20.3028i | 1.02312 | − | 0.743339i | ||||
\(747\) | −0.768941 | + | 0.342354i | −0.0281341 | + | 0.0125261i | ||||
\(748\) | −4.31434 | + | 13.2782i | −0.157748 | + | 0.485498i | ||||
\(749\) | −16.7863 | − | 29.0746i | −0.613356 | − | 1.06236i | ||||
\(750\) | −0.500000 | + | 0.866025i | −0.0182574 | + | 0.0316228i | ||||
\(751\) | 18.0554 | + | 20.0525i | 0.658850 | + | 0.731727i | 0.976270 | − | 0.216558i | \(-0.0694831\pi\) |
−0.317420 | + | 0.948285i | \(0.602816\pi\) | |||||||
\(752\) | −0.530767 | − | 1.63353i | −0.0193551 | − | 0.0595688i | ||||
\(753\) | −10.8857 | + | 12.0898i | −0.396697 | + | 0.440576i | ||||
\(754\) | −0.0908583 | − | 0.0404527i | −0.00330887 | − | 0.00147320i | ||||
\(755\) | −2.30425 | + | 0.489784i | −0.0838604 | + | 0.0178251i | ||||
\(756\) | 0.401367 | + | 3.81875i | 0.0145976 | + | 0.138887i | ||||
\(757\) | −1.60331 | + | 15.2545i | −0.0582732 | + | 0.554433i | 0.925968 | + | 0.377602i | \(0.123251\pi\) |
−0.984241 | + | 0.176831i | \(0.943415\pi\) | |||||||
\(758\) | 15.1549 | + | 3.22127i | 0.550450 | + | 0.117002i | ||||
\(759\) | −6.58430 | − | 4.78377i | −0.238995 | − | 0.173640i | ||||
\(760\) | −6.30080 | − | 4.57780i | −0.228554 | − | 0.166054i | ||||
\(761\) | −38.1473 | − | 8.10847i | −1.38284 | − | 0.293932i | −0.544354 | − | 0.838855i | \(-0.683225\pi\) |
−0.838486 | + | 0.544924i | \(0.816559\pi\) | |||||||
\(762\) | 0.820049 | − | 7.80225i | 0.0297073 | − | 0.282646i | ||||
\(763\) | −2.63938 | − | 25.1121i | −0.0955521 | − | 0.909118i | ||||
\(764\) | −3.80626 | + | 0.809046i | −0.137706 | + | 0.0292703i | ||||
\(765\) | −6.64096 | − | 2.95675i | −0.240104 | − | 0.106901i | ||||
\(766\) | −6.66070 | + | 7.39746i | −0.240661 | + | 0.267281i | ||||
\(767\) | 0.0539661 | + | 0.166091i | 0.00194860 | + | 0.00599719i | ||||
\(768\) | −0.669131 | − | 0.743145i | −0.0241452 | − | 0.0268159i | ||||
\(769\) | −23.0578 | + | 39.9372i | −0.831485 | + | 1.44017i | 0.0653760 | + | 0.997861i | \(0.479175\pi\) |
−0.896861 | + | 0.442313i | \(0.854158\pi\) | |||||||
\(770\) | 3.68730 | + | 6.38658i | 0.132881 | + | 0.230157i | ||||
\(771\) | −8.29948 | + | 25.5432i | −0.298898 | + | 0.919915i | ||||
\(772\) | −15.8284 | + | 7.04725i | −0.569676 | + | 0.253636i | ||||
\(773\) | −2.02222 | + | 1.46923i | −0.0727340 | + | 0.0528444i | −0.623558 | − | 0.781777i | \(-0.714314\pi\) |
0.550824 | + | 0.834621i | \(0.314314\pi\) | |||||||
\(774\) | 7.96315 | 0.286230 | ||||||||
\(775\) | 4.23619 | + | 3.61313i | 0.152168 | + | 0.129788i | ||||
\(776\) | −3.95583 | −0.142006 | ||||||||
\(777\) | 1.15657 | − | 0.840297i | 0.0414917 | − | 0.0301455i | ||||
\(778\) | 11.5431 | − | 5.13930i | 0.413839 | − | 0.184253i | ||||
\(779\) | −28.2179 | + | 86.8457i | −1.01101 | + | 3.11157i | ||||
\(780\) | −0.0104030 | − | 0.0180186i | −0.000372488 | − | 0.000645168i | ||||
\(781\) | 2.17816 | − | 3.77268i | 0.0779407 | − | 0.134997i | ||||
\(782\) | −20.6126 | − | 22.8926i | −0.737105 | − | 0.818638i | ||||
\(783\) | 1.47716 | + | 4.54623i | 0.0527893 | + | 0.162469i | ||||
\(784\) | 5.18172 | − | 5.75488i | 0.185061 | − | 0.205532i | ||||
\(785\) | 16.8864 | + | 7.51830i | 0.602700 | + | 0.268339i | ||||
\(786\) | −1.41912 | + | 0.301642i | −0.0506182 | + | 0.0107592i | ||||
\(787\) | 1.64941 | + | 15.6931i | 0.0587951 | + | 0.559398i | 0.983778 | + | 0.179389i | \(0.0574122\pi\) |
−0.924983 | + | 0.380008i | \(0.875921\pi\) | |||||||
\(788\) | −1.80536 | + | 17.1769i | −0.0643134 | + | 0.611902i | ||||
\(789\) | −5.69971 | − | 1.21151i | −0.202915 | − | 0.0431309i | ||||
\(790\) | −11.6466 | − | 8.46178i | −0.414369 | − | 0.301057i | ||||
\(791\) | −46.1308 | − | 33.5160i | −1.64022 | − | 1.19169i | ||||
\(792\) | 1.87860 | + | 0.399310i | 0.0667533 | + | 0.0141889i | ||||
\(793\) | −0.00305053 | + | 0.0290239i | −0.000108328 | + | 0.00103067i | ||||
\(794\) | −2.92698 | − | 27.8484i | −0.103875 | − | 0.988302i | ||||
\(795\) | 12.4191 | − | 2.63976i | 0.440459 | − | 0.0936225i | ||||
\(796\) | 15.8644 | + | 7.06328i | 0.562298 | + | 0.250351i | ||||
\(797\) | −8.01671 | + | 8.90345i | −0.283966 | + | 0.315376i | −0.868205 | − | 0.496205i | \(-0.834726\pi\) |
0.584239 | + | 0.811582i | \(0.301393\pi\) | |||||||
\(798\) | −9.24118 | − | 28.4414i | −0.327134 | − | 1.00682i | ||||
\(799\) | 8.35475 | + | 9.27889i | 0.295570 | + | 0.328264i | ||||
\(800\) | 0.500000 | − | 0.866025i | 0.0176777 | − | 0.0306186i | ||||
\(801\) | 1.52023 | + | 2.63312i | 0.0537147 | + | 0.0930366i | ||||
\(802\) | 2.27154 | − | 6.99109i | 0.0802110 | − | 0.246864i | ||||
\(803\) | −5.01836 | + | 2.23432i | −0.177094 | + | 0.0788474i | ||||
\(804\) | 4.18598 | − | 3.04129i | 0.147628 | − | 0.107258i | ||||
\(805\) | −16.2715 | −0.573496 | ||||||||
\(806\) | −0.109173 | + | 0.0387425i | −0.00384544 | + | 0.00136465i | ||||
\(807\) | −19.1082 | −0.672640 | ||||||||
\(808\) | −4.12640 | + | 2.99801i | −0.145166 | + | 0.105469i | ||||
\(809\) | −28.5316 | + | 12.7031i | −1.00312 | + | 0.446616i | −0.841511 | − | 0.540239i | \(-0.818334\pi\) |
−0.161605 | + | 0.986856i | \(0.551667\pi\) | |||||||
\(810\) | −0.309017 | + | 0.951057i | −0.0108578 | + | 0.0334167i | ||||
\(811\) | −24.2119 | − | 41.9363i | −0.850196 | − | 1.47258i | −0.881031 | − | 0.473059i | \(-0.843150\pi\) |
0.0308345 | − | 0.999525i | \(-0.490184\pi\) | |||||||
\(812\) | 9.17745 | − | 15.8958i | 0.322065 | − | 0.557833i | ||||
\(813\) | 9.44137 | + | 10.4857i | 0.331123 | + | 0.367750i | ||||
\(814\) | −0.220964 | − | 0.680056i | −0.00774477 | − | 0.0238359i | ||||
\(815\) | 5.40762 | − | 6.00577i | 0.189421 | − | 0.210373i | ||||
\(816\) | 6.64096 | + | 2.95675i | 0.232480 | + | 0.103507i | ||||
\(817\) | −60.6635 | + | 12.8944i | −2.12235 | + | 0.451119i | ||||
\(818\) | −2.75842 | − | 26.2446i | −0.0964457 | − | 0.917620i | ||||
\(819\) | 0.00835086 | − | 0.0794532i | 0.000291803 | − | 0.00277632i | ||||
\(820\) | −11.4686 | − | 2.43772i | −0.400499 | − | 0.0851288i | ||||
\(821\) | −30.2096 | − | 21.9486i | −1.05432 | − | 0.766011i | −0.0812940 | − | 0.996690i | \(-0.525905\pi\) |
−0.973030 | + | 0.230679i | \(0.925905\pi\) | |||||||
\(822\) | −0.194749 | − | 0.141494i | −0.00679266 | − | 0.00493515i | ||||
\(823\) | −30.5277 | − | 6.48886i | −1.06413 | − | 0.226187i | −0.357602 | − | 0.933874i | \(-0.616406\pi\) |
−0.706526 | + | 0.707687i | \(0.749739\pi\) | |||||||
\(824\) | −1.47784 | + | 14.0607i | −0.0514831 | + | 0.489829i | ||||
\(825\) | 0.200755 | + | 1.91005i | 0.00698938 | + | 0.0664995i | ||||
\(826\) | −31.5254 | + | 6.70093i | −1.09691 | + | 0.233155i | ||||
\(827\) | 20.7948 | + | 9.25843i | 0.723105 | + | 0.321947i | 0.735079 | − | 0.677981i | \(-0.237145\pi\) |
−0.0119740 | + | 0.999928i | \(0.503812\pi\) | |||||||
\(828\) | −2.83551 | + | 3.14916i | −0.0985409 | + | 0.109441i | ||||
\(829\) | −1.73097 | − | 5.32738i | −0.0601191 | − | 0.185028i | 0.916487 | − | 0.400065i | \(-0.131013\pi\) |
−0.976606 | + | 0.215038i | \(0.931013\pi\) | |||||||
\(830\) | 0.563214 | + | 0.625513i | 0.0195494 | + | 0.0217119i | ||||
\(831\) | 10.6958 | − | 18.5257i | 0.371034 | − | 0.642650i | ||||
\(832\) | 0.0104030 | + | 0.0180186i | 0.000360660 | + | 0.000624682i | ||||
\(833\) | −17.3959 | + | 53.5390i | −0.602731 | + | 1.85502i | ||||
\(834\) | −1.34908 | + | 0.600648i | −0.0467147 | + | 0.0207987i | ||||
\(835\) | −13.6699 | + | 9.93176i | −0.473066 | + | 0.343703i | ||||
\(836\) | −14.9578 | −0.517328 | ||||||||
\(837\) | 4.89483 | + | 2.65342i | 0.169190 | + | 0.0917158i | ||||
\(838\) | −7.71430 | −0.266486 | ||||||||
\(839\) | −17.3528 | + | 12.6076i | −0.599085 | + | 0.435261i | −0.845554 | − | 0.533890i | \(-0.820730\pi\) |
0.246469 | + | 0.969151i | \(0.420730\pi\) | |||||||
\(840\) | 3.50782 | − | 1.56178i | 0.121031 | − | 0.0538866i | ||||
\(841\) | −1.90040 | + | 5.84882i | −0.0655310 | + | 0.201684i | ||||
\(842\) | 6.65364 | + | 11.5244i | 0.229299 | + | 0.397158i | ||||
\(843\) | 10.4656 | − | 18.1269i | 0.360453 | − | 0.624323i | ||||
\(844\) | 6.26919 | + | 6.96264i | 0.215794 | + | 0.239664i | ||||
\(845\) | −4.01709 | − | 12.3633i | −0.138192 | − | 0.425311i | ||||
\(846\) | 1.14930 | − | 1.27642i | 0.0395137 | − | 0.0438844i | ||||
\(847\) | −25.6471 | − | 11.4188i | −0.881243 | − | 0.392355i | ||||
\(848\) | −12.4191 | + | 2.63976i | −0.426473 | + | 0.0906496i | ||||
\(849\) | −1.02580 | − | 9.75982i | −0.0352053 | − | 0.334956i | ||||
\(850\) | −0.759863 | + | 7.22961i | −0.0260631 | + | 0.247974i | ||||
\(851\) | 1.54324 | + | 0.328025i | 0.0529015 | + | 0.0112446i | ||||
\(852\) | −1.83504 | − | 1.33324i | −0.0628676 | − | 0.0456760i | ||||
\(853\) | 2.39377 | + | 1.73918i | 0.0819611 | + | 0.0595483i | 0.628011 | − | 0.778204i | \(-0.283869\pi\) |
−0.546050 | + | 0.837753i | \(0.683869\pi\) | |||||||
\(854\) | −5.26820 | − | 1.11979i | −0.180274 | − | 0.0383185i | ||||
\(855\) | 0.814090 | − | 7.74555i | 0.0278413 | − | 0.264892i | ||||
\(856\) | 0.913926 | + | 8.69543i | 0.0312374 | + | 0.297204i | ||||
\(857\) | 15.3130 | − | 3.25487i | 0.523081 | − | 0.111184i | 0.0611990 | − | 0.998126i | \(-0.480508\pi\) |
0.461882 | + | 0.886941i | \(0.347174\pi\) | |||||||
\(858\) | −0.0365049 | − | 0.0162530i | −0.00124626 | − | 0.000554869i | ||||
\(859\) | 12.7722 | − | 14.1850i | 0.435783 | − | 0.483986i | −0.484749 | − | 0.874653i | \(-0.661089\pi\) |
0.920532 | + | 0.390668i | \(0.127756\pi\) | |||||||
\(860\) | −2.46075 | − | 7.57341i | −0.0839109 | − | 0.258251i | ||||
\(861\) | −30.1247 | − | 33.4568i | −1.02665 | − | 1.14021i | ||||
\(862\) | −14.6391 | + | 25.3556i | −0.498609 | + | 0.863616i | ||||
\(863\) | 4.41735 | + | 7.65107i | 0.150368 | + | 0.260445i | 0.931363 | − | 0.364092i | \(-0.118621\pi\) |
−0.780995 | + | 0.624538i | \(0.785287\pi\) | |||||||
\(864\) | 0.309017 | − | 0.951057i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | −22.1938 | + | 9.88132i | −0.754612 | + | 0.335975i | ||||
\(866\) | 2.74185 | − | 1.99207i | 0.0931719 | − | 0.0676934i | ||||
\(867\) | −35.8447 | −1.21735 | ||||||||
\(868\) | −5.00478 | − | 20.7850i | −0.169873 | − | 0.705488i | ||||
\(869\) | −27.6487 | −0.937916 | ||||||||
\(870\) | 3.86725 | − | 2.80972i | 0.131112 | − | 0.0952585i | ||||
\(871\) | −0.0983465 | + | 0.0437867i | −0.00333235 | + | 0.00148366i | ||||
\(872\) | −2.03209 | + | 6.25414i | −0.0688153 | + | 0.211792i | ||||
\(873\) | −1.97792 | − | 3.42585i | −0.0669423 | − | 0.115947i | ||||
\(874\) | 16.5017 | − | 28.5818i | 0.558178 | − | 0.966793i | ||||
\(875\) | 2.56932 | + | 2.85352i | 0.0868588 | + | 0.0964665i | ||||
\(876\) | 0.883860 | + | 2.72024i | 0.0298628 | + | 0.0919084i | ||||
\(877\) | 26.0039 | − | 28.8803i | 0.878090 | − | 0.975218i | −0.121759 | − | 0.992560i | \(-0.538854\pi\) |
0.999850 | + | 0.0173417i | \(0.00552031\pi\) | |||||||
\(878\) | 9.88737 | + | 4.40214i | 0.333683 | + | 0.148565i | ||||
\(879\) | 22.3706 | − | 4.75501i | 0.754541 | − | 0.160383i | ||||
\(880\) | −0.200755 | − | 1.91005i | −0.00676744 | − | 0.0643879i | ||||
\(881\) | −5.30666 | + | 50.4895i | −0.178786 | + | 1.70104i | 0.426061 | + | 0.904694i | \(0.359901\pi\) |
−0.604847 | + | 0.796341i | \(0.706766\pi\) | |||||||
\(882\) | 7.57474 | + | 1.61006i | 0.255055 | + | 0.0542135i | ||||
\(883\) | −19.8383 | − | 14.4133i | −0.667611 | − | 0.485048i | 0.201614 | − | 0.979465i | \(-0.435381\pi\) |
−0.869225 | + | 0.494417i | \(0.835381\pi\) | |||||||
\(884\) | −0.122362 | − | 0.0889015i | −0.00411550 | − | 0.00299008i | ||||
\(885\) | −8.21019 | − | 1.74513i | −0.275983 | − | 0.0586619i | ||||
\(886\) | −0.0784765 | + | 0.746654i | −0.00263647 | + | 0.0250843i | ||||
\(887\) | 1.58671 | + | 15.0965i | 0.0532764 | + | 0.506891i | 0.988324 | + | 0.152368i | \(0.0486900\pi\) |
−0.935047 | + | 0.354523i | \(0.884643\pi\) | |||||||
\(888\) | −0.364176 | + | 0.0774081i | −0.0122210 | + | 0.00259764i | ||||
\(889\) | −27.5196 | − | 12.2525i | −0.922979 | − | 0.410937i | ||||
\(890\) | 2.03447 | − | 2.25950i | 0.0681954 | − | 0.0757387i | ||||
\(891\) | 0.593490 | + | 1.82657i | 0.0198827 | + | 0.0611925i | ||||
\(892\) | 9.62683 | + | 10.6917i | 0.322330 | + | 0.357984i | ||||
\(893\) | −6.68851 | + | 11.5848i | −0.223823 | + | 0.387672i | ||||
\(894\) | −8.63481 | − | 14.9559i | −0.288791 | − | 0.500201i | ||||
\(895\) | 2.39510 | − | 7.37135i | 0.0800593 | − | 0.246397i | ||||
\(896\) | −3.50782 | + | 1.56178i | −0.117188 | + | 0.0521755i | ||||
\(897\) | 0.0713294 | − | 0.0518238i | 0.00238162 | − | 0.00173035i | ||||
\(898\) | 21.7893 | 0.727119 | ||||||||
\(899\) | −11.4741 | − | 24.0146i | −0.382684 | − | 0.800931i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 74.6695 | − | 54.2506i | 2.48760 | − | 1.80735i | ||||
\(902\) | −20.5715 | + | 9.15901i | −0.684955 | + | 0.304962i | ||||
\(903\) | 9.44875 | − | 29.0803i | 0.314435 | − | 0.967731i | ||||
\(904\) | 7.42499 | + | 12.8605i | 0.246952 | + | 0.427733i | ||||
\(905\) | 3.53503 | − | 6.12285i | 0.117508 | − | 0.203530i | ||||
\(906\) | 1.57629 | + | 1.75065i | 0.0523688 | + | 0.0581614i | ||||
\(907\) | 8.65909 | + | 26.6499i | 0.287520 | + | 0.884897i | 0.985632 | + | 0.168908i | \(0.0540239\pi\) |
−0.698112 | + | 0.715989i | \(0.745976\pi\) | |||||||
\(908\) | −3.60142 | + | 3.99978i | −0.119517 | + | 0.132737i | ||||
\(909\) | −4.65955 | − | 2.07457i | −0.154548 | − | 0.0688090i | ||||
\(910\) | −0.0781450 | + | 0.0166102i | −0.00259048 | + | 0.000550624i | ||||
\(911\) | 1.69662 | + | 16.1423i | 0.0562116 | + | 0.534818i | 0.986003 | + | 0.166730i | \(0.0533208\pi\) |
−0.929791 | + | 0.368088i | \(0.880013\pi\) | |||||||
\(912\) | −0.814090 | + | 7.74555i | −0.0269572 | + | 0.256481i | ||||
\(913\) | 1.58124 | + | 0.336103i | 0.0523314 | + | 0.0111234i | ||||
\(914\) | 18.8473 | + | 13.6934i | 0.623413 | + | 0.452936i | ||||
\(915\) | −1.13477 | − | 0.824460i | −0.0375144 | − | 0.0272558i | ||||
\(916\) | −24.6160 | − | 5.23229i | −0.813335 | − | 0.172880i | ||||
\(917\) | −0.582311 | + | 5.54032i | −0.0192296 | + | 0.182958i | ||||
\(918\) | 0.759863 | + | 7.22961i | 0.0250792 | + | 0.238613i | ||||
\(919\) | 26.0055 | − | 5.52763i | 0.857841 | − | 0.182340i | 0.242064 | − | 0.970260i | \(-0.422176\pi\) |
0.615777 | + | 0.787921i | \(0.288842\pi\) | |||||||
\(920\) | 3.87125 | + | 1.72359i | 0.127631 | + | 0.0568251i | ||||
\(921\) | −14.0753 | + | 15.6322i | −0.463796 | + | 0.515097i | ||||
\(922\) | 6.16250 | + | 18.9662i | 0.202951 | + | 0.624620i | ||||
\(923\) | 0.0315783 | + | 0.0350713i | 0.00103941 | + | 0.00115439i | ||||
\(924\) | 3.68730 | − | 6.38658i | 0.121303 | − | 0.210103i | ||||
\(925\) | −0.186156 | − | 0.322432i | −0.00612077 | − | 0.0106015i | ||||
\(926\) | 5.87996 | − | 18.0967i | 0.193228 | − | 0.594693i | ||||
\(927\) | −12.9159 | + | 5.75052i | −0.424213 | + | 0.188872i | ||||
\(928\) | −3.86725 | + | 2.80972i | −0.126949 | + | 0.0922337i | ||||
\(929\) | 4.15327 | 0.136264 | 0.0681322 | − | 0.997676i | \(-0.478296\pi\) | ||||
0.0681322 | + | 0.997676i | \(0.478296\pi\) | |||||||
\(930\) | 1.01097 | − | 5.47521i | 0.0331511 | − | 0.179539i | ||||
\(931\) | −60.3116 | −1.97663 | ||||||||
\(932\) | −6.11686 | + | 4.44416i | −0.200364 | + | 0.145573i | ||||
\(933\) | −22.6166 | + | 10.0696i | −0.740434 | + | 0.329662i | ||||
\(934\) | −7.74409 | + | 23.8339i | −0.253394 | + | 0.779868i | ||||
\(935\) | 6.98075 | + | 12.0910i | 0.228295 | + | 0.395418i | ||||
\(936\) | −0.0104030 | + | 0.0180186i | −0.000340034 | + | 0.000588956i | ||||
\(937\) | 30.8272 | + | 34.2370i | 1.00708 | + | 1.11847i | 0.992945 | + | 0.118575i | \(0.0378325\pi\) |
0.0141340 | + | 0.999900i | \(0.495501\pi\) | |||||||
\(938\) | −6.13944 | − | 18.8952i | −0.200460 | − | 0.616952i | ||||
\(939\) | −13.7796 | + | 15.3038i | −0.449680 | + | 0.499420i | ||||
\(940\) | −1.56910 | − | 0.698610i | −0.0511786 | − | 0.0227862i | ||||
\(941\) | −52.0719 | + | 11.0682i | −1.69750 | + | 0.360814i | −0.952095 | − | 0.305803i | \(-0.901075\pi\) |
−0.745400 | + | 0.666617i | \(0.767742\pi\) | |||||||
\(942\) | −1.93215 | − | 18.3832i | −0.0629528 | − | 0.598956i | ||||
\(943\) | 5.19350 | − | 49.4128i | 0.169124 | − | 1.60910i | ||||
\(944\) | 8.21019 | + | 1.74513i | 0.267219 | + | 0.0567992i | ||||
\(945\) | 3.10645 | + | 2.25697i | 0.101053 | + | 0.0734192i | ||||
\(946\) | −12.3730 | − | 8.98948i | −0.402280 | − | 0.292273i | ||||
\(947\) | −26.6549 | − | 5.66567i | −0.866167 | − | 0.184110i | −0.246662 | − | 0.969102i | \(-0.579334\pi\) |
−0.619506 | + | 0.784992i | \(0.712667\pi\) | |||||||
\(948\) | −1.50480 | + | 14.3172i | −0.0488735 | + | 0.465000i | ||||
\(949\) | −0.00622050 | − | 0.0591841i | −0.000201926 | − | 0.00192120i | ||||
\(950\) | −7.61802 | + | 1.61926i | −0.247161 | + | 0.0525357i | ||||
\(951\) | 16.7246 | + | 7.44629i | 0.542333 | + | 0.241462i | ||||
\(952\) | 18.6775 | − | 20.7435i | 0.605341 | − | 0.672300i | ||||
\(953\) | −6.33101 | − | 19.4848i | −0.205081 | − | 0.631176i | −0.999710 | − | 0.0240798i | \(-0.992334\pi\) |
0.794629 | − | 0.607096i | \(-0.207666\pi\) | |||||||
\(954\) | −8.49564 | − | 9.43536i | −0.275056 | − | 0.305481i | ||||
\(955\) | −1.94565 | + | 3.36996i | −0.0629597 | + | 0.109049i | ||||
\(956\) | −10.7853 | − | 18.6807i | −0.348821 | − | 0.604175i | ||||
\(957\) | 2.83699 | − | 8.73137i | 0.0917069 | − | 0.282245i | ||||
\(958\) | −14.4646 | + | 6.44007i | −0.467331 | + | 0.208069i | ||||
\(959\) | −0.747795 | + | 0.543305i | −0.0241476 | + | 0.0175442i | ||||
\(960\) | −1.00000 | −0.0322749 | ||||||||
\(961\) | −28.9559 | − | 11.0706i | −0.934060 | − | 0.357115i | ||||
\(962\) | 0.00774635 | 0.000249752 | ||||||||
\(963\) | −7.07350 | + | 5.13920i | −0.227940 | + | 0.165608i | ||||
\(964\) | −22.7208 | + | 10.1160i | −0.731789 | + | 0.325813i | ||||
\(965\) | −5.35413 | + | 16.4783i | −0.172355 | + | 0.530456i | ||||
\(966\) | 8.13576 | + | 14.0915i | 0.261764 | + | 0.453388i | ||||
\(967\) | 8.12626 | − | 14.0751i | 0.261323 | − | 0.452624i | −0.705271 | − | 0.708938i | \(-0.749175\pi\) |
0.966594 | + | 0.256314i | \(0.0825080\pi\) | |||||||
\(968\) | 4.89228 | + | 5.43343i | 0.157244 | + | 0.174637i | ||||
\(969\) | −17.4953 | − | 53.8449i | −0.562029 | − | 1.72975i | ||||
\(970\) | −2.64697 | + | 2.93976i | −0.0849890 | + | 0.0943899i | ||||
\(971\) | −43.0743 | − | 19.1779i | −1.38232 | − | 0.615448i | −0.425189 | − | 0.905105i | \(-0.639792\pi\) |
−0.957131 | + | 0.289656i | \(0.906459\pi\) | |||||||
\(972\) | 0.978148 | − | 0.207912i | 0.0313741 | − | 0.00666877i | ||||
\(973\) | 0.592718 | + | 5.63933i | 0.0190017 | + | 0.180789i | ||||
\(974\) | 2.29116 | − | 21.7990i | 0.0734136 | − | 0.698484i | ||||
\(975\) | −0.0203514 | − | 0.00432582i | −0.000651766 | − | 0.000138537i | ||||
\(976\) | 1.13477 | + | 0.824460i | 0.0363232 | + | 0.0263903i | ||||
\(977\) | 6.11622 | + | 4.44370i | 0.195675 | + | 0.142166i | 0.681309 | − | 0.731996i | \(-0.261411\pi\) |
−0.485634 | + | 0.874162i | \(0.661411\pi\) | |||||||
\(978\) | −7.90496 | − | 1.68025i | −0.252773 | − | 0.0537285i | ||||
\(979\) | 0.610387 | − | 5.80744i | 0.0195080 | − | 0.185607i | ||||
\(980\) | −0.809464 | − | 7.70154i | −0.0258574 | − | 0.246017i | ||||
\(981\) | −6.43229 | + | 1.36722i | −0.205367 | + | 0.0436521i | ||||
\(982\) | −10.2615 | − | 4.56873i | −0.327459 | − | 0.145794i | ||||
\(983\) | 28.2416 | − | 31.3655i | 0.900767 | − | 1.00040i | −0.0992183 | − | 0.995066i | \(-0.531634\pi\) |
0.999986 | − | 0.00533796i | \(-0.00169913\pi\) | |||||||
\(984\) | 3.62315 | + | 11.1509i | 0.115502 | + | 0.355478i | ||||
\(985\) | 11.5569 | + | 12.8352i | 0.368233 | + | 0.408965i | ||||
\(986\) | 17.3746 | − | 30.0937i | 0.553321 | − | 0.958380i | ||||
\(987\) | −3.29761 | − | 5.71162i | −0.104964 | − | 0.181803i | ||||
\(988\) | 0.0500737 | − | 0.154111i | 0.00159306 | − | 0.00490293i | ||||
\(989\) | 30.8274 | − | 13.7252i | 0.980253 | − | 0.436437i | ||||
\(990\) | 1.55378 | − | 1.12888i | 0.0493823 | − | 0.0358783i | ||||
\(991\) | 8.37229 | 0.265955 | 0.132977 | − | 0.991119i | \(-0.457546\pi\) | ||||
0.132977 | + | 0.991119i | \(0.457546\pi\) | |||||||
\(992\) | −1.01097 | + | 5.47521i | −0.0320984 | + | 0.173838i | ||||
\(993\) | 18.1613 | 0.576331 | ||||||||
\(994\) | −7.04617 | + | 5.11935i | −0.223491 | + | 0.162376i | ||||
\(995\) | 15.8644 | − | 7.06328i | 0.502935 | − | 0.223921i | ||||
\(996\) | 0.260103 | − | 0.800514i | 0.00824167 | − | 0.0253653i | ||||
\(997\) | 8.24117 | + | 14.2741i | 0.261001 | + | 0.452066i | 0.966508 | − | 0.256636i | \(-0.0826142\pi\) |
−0.705507 | + | 0.708702i | \(0.749281\pi\) | |||||||
\(998\) | −8.59127 | + | 14.8805i | −0.271952 | + | 0.471034i | ||||
\(999\) | −0.249125 | − | 0.276682i | −0.00788198 | − | 0.00875383i |
(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 | 930.2.bg.h.421.3 | yes | 24 | |
31.19 | even | 15 | inner | 930.2.bg.h.391.3 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.h.391.3 | ✓ | 24 | 31.19 | even | 15 | inner | |
930.2.bg.h.421.3 | yes | 24 | 1.1 | even | 1 | trivial |