Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(76,1155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1155, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.i (of order \(2\), degree \(1\), 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: | \(9.22272143346\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 76.10 | ||
Character | \(\chi\) | \(=\) | 1155.76 |
Dual form | 1155.2.i.d.76.9 |
$q$-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 \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.859876i | 0.608024i | 0.952668 | + | 0.304012i | \(0.0983264\pi\) | ||||
−0.952668 | + | 0.304012i | \(0.901674\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 1.26061 | 0.630306 | ||||||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | 0.859876 | 0.351043 | ||||||||
\(7\) | −2.42783 | + | 1.05149i | −0.917635 | + | 0.397425i | ||||
\(8\) | 2.80372i | 0.991266i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0.859876 | 0.271917 | ||||||||
\(11\) | −3.22701 | + | 0.765761i | −0.972981 | + | 0.230886i | ||||
\(12\) | − | 1.26061i | − | 0.363908i | ||||||
\(13\) | 3.49145 | 0.968353 | 0.484177 | − | 0.874970i | \(-0.339119\pi\) | ||||
0.484177 | + | 0.874970i | \(0.339119\pi\) | |||||||
\(14\) | −0.904149 | − | 2.08764i | −0.241644 | − | 0.557944i | ||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | 0.110370 | 0.0275924 | ||||||||
\(17\) | 5.22254 | 1.26665 | 0.633326 | − | 0.773886i | \(-0.281689\pi\) | ||||
0.633326 | + | 0.773886i | \(0.281689\pi\) | |||||||
\(18\) | − | 0.859876i | − | 0.202675i | ||||||
\(19\) | 4.83931 | 1.11021 | 0.555107 | − | 0.831779i | \(-0.312677\pi\) | ||||
0.555107 | + | 0.831779i | \(0.312677\pi\) | |||||||
\(20\) | − | 1.26061i | − | 0.281882i | ||||||
\(21\) | 1.05149 | + | 2.42783i | 0.229453 | + | 0.529797i | ||||
\(22\) | −0.658460 | − | 2.77483i | −0.140384 | − | 0.591596i | ||||
\(23\) | 3.63160 | 0.757240 | 0.378620 | − | 0.925552i | \(-0.376399\pi\) | ||||
0.378620 | + | 0.925552i | \(0.376399\pi\) | |||||||
\(24\) | 2.80372 | 0.572308 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 3.00221i | 0.588782i | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −3.06056 | + | 1.32552i | −0.578391 | + | 0.250499i | ||||
\(29\) | 6.88482i | 1.27848i | 0.769008 | + | 0.639239i | \(0.220751\pi\) | ||||
−0.769008 | + | 0.639239i | \(0.779249\pi\) | |||||||
\(30\) | − | 0.859876i | − | 0.156991i | ||||||
\(31\) | 1.77159i | 0.318186i | 0.987264 | + | 0.159093i | \(0.0508570\pi\) | ||||
−0.987264 | + | 0.159093i | \(0.949143\pi\) | |||||||
\(32\) | 5.70235i | 1.00804i | ||||||||
\(33\) | 0.765761 | + | 3.22701i | 0.133302 | + | 0.561751i | ||||
\(34\) | 4.49074i | 0.770155i | ||||||||
\(35\) | 1.05149 | + | 2.42783i | 0.177734 | + | 0.410379i | ||||
\(36\) | −1.26061 | −0.210102 | ||||||||
\(37\) | 9.57378 | 1.57392 | 0.786960 | − | 0.617004i | \(-0.211654\pi\) | ||||
0.786960 | + | 0.617004i | \(0.211654\pi\) | |||||||
\(38\) | 4.16121i | 0.675038i | ||||||||
\(39\) | − | 3.49145i | − | 0.559079i | ||||||
\(40\) | 2.80372 | 0.443308 | ||||||||
\(41\) | −2.92000 | −0.456027 | −0.228013 | − | 0.973658i | \(-0.573223\pi\) | ||||
−0.228013 | + | 0.973658i | \(0.573223\pi\) | |||||||
\(42\) | −2.08764 | + | 0.904149i | −0.322129 | + | 0.139513i | ||||
\(43\) | − | 4.10056i | − | 0.625330i | −0.949864 | − | 0.312665i | \(-0.898778\pi\) | ||
0.949864 | − | 0.312665i | \(-0.101222\pi\) | |||||||
\(44\) | −4.06801 | + | 0.965328i | −0.613276 | + | 0.145529i | ||||
\(45\) | 1.00000i | 0.149071i | ||||||||
\(46\) | 3.12272i | 0.460420i | ||||||||
\(47\) | − | 6.68244i | − | 0.974734i | −0.873197 | − | 0.487367i | \(-0.837957\pi\) | ||
0.873197 | − | 0.487367i | \(-0.162043\pi\) | |||||||
\(48\) | − | 0.110370i | − | 0.0159305i | ||||||
\(49\) | 4.78875 | − | 5.10567i | 0.684107 | − | 0.729381i | ||||
\(50\) | − | 0.859876i | − | 0.121605i | ||||||
\(51\) | − | 5.22254i | − | 0.731301i | ||||||
\(52\) | 4.40136 | 0.610359 | ||||||||
\(53\) | 7.05177 | 0.968635 | 0.484317 | − | 0.874892i | \(-0.339068\pi\) | ||||
0.484317 | + | 0.874892i | \(0.339068\pi\) | |||||||
\(54\) | −0.859876 | −0.117014 | ||||||||
\(55\) | 0.765761 | + | 3.22701i | 0.103255 | + | 0.435130i | ||||
\(56\) | −2.94808 | − | 6.80697i | −0.393954 | − | 0.909620i | ||||
\(57\) | − | 4.83931i | − | 0.640983i | ||||||
\(58\) | −5.92009 | −0.777346 | ||||||||
\(59\) | − | 4.22390i | − | 0.549905i | −0.961458 | − | 0.274953i | \(-0.911338\pi\) | ||
0.961458 | − | 0.274953i | \(-0.0886622\pi\) | |||||||
\(60\) | −1.26061 | −0.162744 | ||||||||
\(61\) | 3.39295 | 0.434423 | 0.217211 | − | 0.976125i | \(-0.430304\pi\) | ||||
0.217211 | + | 0.976125i | \(0.430304\pi\) | |||||||
\(62\) | −1.52335 | −0.193465 | ||||||||
\(63\) | 2.42783 | − | 1.05149i | 0.305878 | − | 0.132475i | ||||
\(64\) | −4.68258 | −0.585322 | ||||||||
\(65\) | − | 3.49145i | − | 0.433061i | ||||||
\(66\) | −2.77483 | + | 0.658460i | −0.341558 | + | 0.0810508i | ||||
\(67\) | 10.7607 | 1.31463 | 0.657316 | − | 0.753615i | \(-0.271692\pi\) | ||||
0.657316 | + | 0.753615i | \(0.271692\pi\) | |||||||
\(68\) | 6.58360 | 0.798378 | ||||||||
\(69\) | − | 3.63160i | − | 0.437193i | ||||||
\(70\) | −2.08764 | + | 0.904149i | −0.249520 | + | 0.108066i | ||||
\(71\) | −12.6238 | −1.49817 | −0.749087 | − | 0.662472i | \(-0.769507\pi\) | ||||
−0.749087 | + | 0.662472i | \(0.769507\pi\) | |||||||
\(72\) | − | 2.80372i | − | 0.330422i | ||||||
\(73\) | −7.34186 | −0.859300 | −0.429650 | − | 0.902996i | \(-0.641363\pi\) | ||||
−0.429650 | + | 0.902996i | \(0.641363\pi\) | |||||||
\(74\) | 8.23226i | 0.956981i | ||||||||
\(75\) | 1.00000i | 0.115470i | ||||||||
\(76\) | 6.10050 | 0.699776 | ||||||||
\(77\) | 7.02946 | − | 5.25230i | 0.801082 | − | 0.598555i | ||||
\(78\) | 3.00221 | 0.339934 | ||||||||
\(79\) | 6.63289i | 0.746258i | 0.927779 | + | 0.373129i | \(0.121715\pi\) | ||||
−0.927779 | + | 0.373129i | \(0.878285\pi\) | |||||||
\(80\) | − | 0.110370i | − | 0.0123397i | ||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 2.51083i | − | 0.277275i | ||||||
\(83\) | −7.78700 | −0.854734 | −0.427367 | − | 0.904078i | \(-0.640559\pi\) | ||||
−0.427367 | + | 0.904078i | \(0.640559\pi\) | |||||||
\(84\) | 1.32552 | + | 3.06056i | 0.144626 | + | 0.333934i | ||||
\(85\) | − | 5.22254i | − | 0.566464i | ||||||
\(86\) | 3.52598 | 0.380216 | ||||||||
\(87\) | 6.88482 | 0.738130 | ||||||||
\(88\) | −2.14698 | − | 9.04765i | −0.228869 | − | 0.964483i | ||||
\(89\) | 13.2622i | 1.40579i | 0.711294 | + | 0.702894i | \(0.248109\pi\) | ||||
−0.711294 | + | 0.702894i | \(0.751891\pi\) | |||||||
\(90\) | −0.859876 | −0.0906389 | ||||||||
\(91\) | −8.47665 | + | 3.67121i | −0.888595 | + | 0.384847i | ||||
\(92\) | 4.57804 | 0.477293 | ||||||||
\(93\) | 1.77159 | 0.183705 | ||||||||
\(94\) | 5.74607 | 0.592662 | ||||||||
\(95\) | − | 4.83931i | − | 0.496503i | ||||||
\(96\) | 5.70235 | 0.581994 | ||||||||
\(97\) | 12.8157i | 1.30124i | 0.759403 | + | 0.650621i | \(0.225491\pi\) | ||||
−0.759403 | + | 0.650621i | \(0.774509\pi\) | |||||||
\(98\) | 4.39024 | + | 4.11773i | 0.443482 | + | 0.415954i | ||||
\(99\) | 3.22701 | − | 0.765761i | 0.324327 | − | 0.0769619i | ||||
\(100\) | −1.26061 | −0.126061 | ||||||||
\(101\) | −3.67466 | −0.365643 | −0.182821 | − | 0.983146i | \(-0.558523\pi\) | ||||
−0.182821 | + | 0.983146i | \(0.558523\pi\) | |||||||
\(102\) | 4.49074 | 0.444649 | ||||||||
\(103\) | − | 17.3490i | − | 1.70945i | −0.519083 | − | 0.854724i | \(-0.673726\pi\) | ||
0.519083 | − | 0.854724i | \(-0.326274\pi\) | |||||||
\(104\) | 9.78905i | 0.959896i | ||||||||
\(105\) | 2.42783 | − | 1.05149i | 0.236932 | − | 0.102615i | ||||
\(106\) | 6.06365i | 0.588953i | ||||||||
\(107\) | 1.09041i | 0.105414i | 0.998610 | + | 0.0527069i | \(0.0167849\pi\) | ||||
−0.998610 | + | 0.0527069i | \(0.983215\pi\) | |||||||
\(108\) | 1.26061i | 0.121303i | ||||||||
\(109\) | 8.17579i | 0.783098i | 0.920157 | + | 0.391549i | \(0.128061\pi\) | ||||
−0.920157 | + | 0.391549i | \(0.871939\pi\) | |||||||
\(110\) | −2.77483 | + | 0.658460i | −0.264570 | + | 0.0627817i | ||||
\(111\) | − | 9.57378i | − | 0.908703i | ||||||
\(112\) | −0.267959 | + | 0.116052i | −0.0253198 | + | 0.0109659i | ||||
\(113\) | −7.87871 | −0.741166 | −0.370583 | − | 0.928799i | \(-0.620842\pi\) | ||||
−0.370583 | + | 0.928799i | \(0.620842\pi\) | |||||||
\(114\) | 4.16121 | 0.389733 | ||||||||
\(115\) | − | 3.63160i | − | 0.338648i | ||||||
\(116\) | 8.67909i | 0.805833i | ||||||||
\(117\) | −3.49145 | −0.322784 | ||||||||
\(118\) | 3.63203 | 0.334356 | ||||||||
\(119\) | −12.6794 | + | 5.49143i | −1.16232 | + | 0.503398i | ||||
\(120\) | − | 2.80372i | − | 0.255944i | ||||||
\(121\) | 9.82722 | − | 4.94224i | 0.893384 | − | 0.449295i | ||||
\(122\) | 2.91752i | 0.264140i | ||||||||
\(123\) | 2.92000i | 0.263287i | ||||||||
\(124\) | 2.23329i | 0.200555i | ||||||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 0.904149 | + | 2.08764i | 0.0805480 | + | 0.185981i | ||||
\(127\) | − | 17.5475i | − | 1.55709i | −0.627592 | − | 0.778543i | \(-0.715959\pi\) | ||
0.627592 | − | 0.778543i | \(-0.284041\pi\) | |||||||
\(128\) | 7.37827i | 0.652153i | ||||||||
\(129\) | −4.10056 | −0.361034 | ||||||||
\(130\) | 3.00221 | 0.263311 | ||||||||
\(131\) | −14.6883 | −1.28332 | −0.641661 | − | 0.766988i | \(-0.721755\pi\) | ||||
−0.641661 | + | 0.766988i | \(0.721755\pi\) | |||||||
\(132\) | 0.965328 | + | 4.06801i | 0.0840210 | + | 0.354075i | ||||
\(133\) | −11.7491 | + | 5.08848i | −1.01877 | + | 0.441227i | ||||
\(134\) | 9.25290i | 0.799329i | ||||||||
\(135\) | 1.00000 | 0.0860663 | ||||||||
\(136\) | 14.6425i | 1.25559i | ||||||||
\(137\) | −6.08391 | −0.519784 | −0.259892 | − | 0.965638i | \(-0.583687\pi\) | ||||
−0.259892 | + | 0.965638i | \(0.583687\pi\) | |||||||
\(138\) | 3.12272 | 0.265824 | ||||||||
\(139\) | −5.11439 | −0.433797 | −0.216899 | − | 0.976194i | \(-0.569594\pi\) | ||||
−0.216899 | + | 0.976194i | \(0.569594\pi\) | |||||||
\(140\) | 1.32552 | + | 3.06056i | 0.112027 | + | 0.258664i | ||||
\(141\) | −6.68244 | −0.562763 | ||||||||
\(142\) | − | 10.8549i | − | 0.910926i | ||||||
\(143\) | −11.2669 | + | 2.67361i | −0.942189 | + | 0.223579i | ||||
\(144\) | −0.110370 | −0.00919748 | ||||||||
\(145\) | 6.88482 | 0.571753 | ||||||||
\(146\) | − | 6.31309i | − | 0.522475i | ||||||
\(147\) | −5.10567 | − | 4.78875i | −0.421109 | − | 0.394970i | ||||
\(148\) | 12.0688 | 0.992051 | ||||||||
\(149\) | 9.49040i | 0.777484i | 0.921347 | + | 0.388742i | \(0.127090\pi\) | ||||
−0.921347 | + | 0.388742i | \(0.872910\pi\) | |||||||
\(150\) | −0.859876 | −0.0702086 | ||||||||
\(151\) | 6.00397i | 0.488596i | 0.969700 | + | 0.244298i | \(0.0785575\pi\) | ||||
−0.969700 | + | 0.244298i | \(0.921442\pi\) | |||||||
\(152\) | 13.5681i | 1.10052i | ||||||||
\(153\) | −5.22254 | −0.422217 | ||||||||
\(154\) | 4.51633 | + | 6.04447i | 0.363936 | + | 0.487077i | ||||
\(155\) | 1.77159 | 0.142297 | ||||||||
\(156\) | − | 4.40136i | − | 0.352391i | ||||||
\(157\) | 11.9244i | 0.951671i | 0.879534 | + | 0.475836i | \(0.157854\pi\) | ||||
−0.879534 | + | 0.475836i | \(0.842146\pi\) | |||||||
\(158\) | −5.70346 | −0.453743 | ||||||||
\(159\) | − | 7.05177i | − | 0.559241i | ||||||
\(160\) | 5.70235 | 0.450810 | ||||||||
\(161\) | −8.81691 | + | 3.81857i | −0.694870 | + | 0.300946i | ||||
\(162\) | 0.859876i | 0.0675583i | ||||||||
\(163\) | 10.3767 | 0.812768 | 0.406384 | − | 0.913702i | \(-0.366790\pi\) | ||||
0.406384 | + | 0.913702i | \(0.366790\pi\) | |||||||
\(164\) | −3.68098 | −0.287436 | ||||||||
\(165\) | 3.22701 | − | 0.765761i | 0.251223 | − | 0.0596144i | ||||
\(166\) | − | 6.69586i | − | 0.519699i | ||||||
\(167\) | 13.1741 | 1.01944 | 0.509721 | − | 0.860340i | \(-0.329749\pi\) | ||||
0.509721 | + | 0.860340i | \(0.329749\pi\) | |||||||
\(168\) | −6.80697 | + | 2.94808i | −0.525169 | + | 0.227449i | ||||
\(169\) | −0.809796 | −0.0622920 | ||||||||
\(170\) | 4.49074 | 0.344424 | ||||||||
\(171\) | −4.83931 | −0.370072 | ||||||||
\(172\) | − | 5.16922i | − | 0.394149i | ||||||
\(173\) | 4.32866 | 0.329102 | 0.164551 | − | 0.986369i | \(-0.447383\pi\) | ||||
0.164551 | + | 0.986369i | \(0.447383\pi\) | |||||||
\(174\) | 5.92009i | 0.448801i | ||||||||
\(175\) | 2.42783 | − | 1.05149i | 0.183527 | − | 0.0794849i | ||||
\(176\) | −0.356165 | + | 0.0845169i | −0.0268469 | + | 0.00637070i | ||||
\(177\) | −4.22390 | −0.317488 | ||||||||
\(178\) | −11.4038 | −0.854754 | ||||||||
\(179\) | 18.8164 | 1.40640 | 0.703202 | − | 0.710990i | \(-0.251753\pi\) | ||||
0.703202 | + | 0.710990i | \(0.251753\pi\) | |||||||
\(180\) | 1.26061i | 0.0939605i | ||||||||
\(181\) | − | 15.4068i | − | 1.14518i | −0.819842 | − | 0.572590i | \(-0.805939\pi\) | ||
0.819842 | − | 0.572590i | \(-0.194061\pi\) | |||||||
\(182\) | −3.15679 | − | 7.28887i | −0.233997 | − | 0.540287i | ||||
\(183\) | − | 3.39295i | − | 0.250814i | ||||||
\(184\) | 10.1820i | 0.750626i | ||||||||
\(185\) | − | 9.57378i | − | 0.703878i | ||||||
\(186\) | 1.52335i | 0.111697i | ||||||||
\(187\) | −16.8532 | + | 3.99921i | −1.23243 | + | 0.292451i | ||||
\(188\) | − | 8.42397i | − | 0.614381i | ||||||
\(189\) | −1.05149 | − | 2.42783i | −0.0764844 | − | 0.176599i | ||||
\(190\) | 4.16121 | 0.301886 | ||||||||
\(191\) | −16.4135 | −1.18764 | −0.593821 | − | 0.804597i | \(-0.702381\pi\) | ||||
−0.593821 | + | 0.804597i | \(0.702381\pi\) | |||||||
\(192\) | 4.68258i | 0.337936i | ||||||||
\(193\) | 11.8298i | 0.851527i | 0.904834 | + | 0.425764i | \(0.139995\pi\) | ||||
−0.904834 | + | 0.425764i | \(0.860005\pi\) | |||||||
\(194\) | −11.0200 | −0.791187 | ||||||||
\(195\) | −3.49145 | −0.250028 | ||||||||
\(196\) | 6.03676 | − | 6.43627i | 0.431197 | − | 0.459734i | ||||
\(197\) | − | 19.9535i | − | 1.42163i | −0.703380 | − | 0.710814i | \(-0.748327\pi\) | ||
0.703380 | − | 0.710814i | \(-0.251673\pi\) | |||||||
\(198\) | 0.658460 | + | 2.77483i | 0.0467947 | + | 0.197199i | ||||
\(199\) | − | 8.38493i | − | 0.594392i | −0.954816 | − | 0.297196i | \(-0.903949\pi\) | ||
0.954816 | − | 0.297196i | \(-0.0960515\pi\) | |||||||
\(200\) | − | 2.80372i | − | 0.198253i | ||||||
\(201\) | − | 10.7607i | − | 0.759003i | ||||||
\(202\) | − | 3.15976i | − | 0.222320i | ||||||
\(203\) | −7.23930 | − | 16.7152i | −0.508099 | − | 1.17318i | ||||
\(204\) | − | 6.58360i | − | 0.460944i | ||||||
\(205\) | 2.92000i | 0.203941i | ||||||||
\(206\) | 14.9180 | 1.03939 | ||||||||
\(207\) | −3.63160 | −0.252413 | ||||||||
\(208\) | 0.385350 | 0.0267192 | ||||||||
\(209\) | −15.6165 | + | 3.70576i | −1.08022 | + | 0.256333i | ||||
\(210\) | 0.904149 | + | 2.08764i | 0.0623922 | + | 0.144061i | ||||
\(211\) | − | 9.12184i | − | 0.627973i | −0.949427 | − | 0.313987i | \(-0.898335\pi\) | ||
0.949427 | − | 0.313987i | \(-0.101665\pi\) | |||||||
\(212\) | 8.88955 | 0.610537 | ||||||||
\(213\) | 12.6238i | 0.864971i | ||||||||
\(214\) | −0.937617 | −0.0640942 | ||||||||
\(215\) | −4.10056 | −0.279656 | ||||||||
\(216\) | −2.80372 | −0.190769 | ||||||||
\(217\) | −1.86280 | − | 4.30112i | −0.126455 | − | 0.291979i | ||||
\(218\) | −7.03017 | −0.476143 | ||||||||
\(219\) | 7.34186i | 0.496117i | ||||||||
\(220\) | 0.965328 | + | 4.06801i | 0.0650824 | + | 0.274265i | ||||
\(221\) | 18.2342 | 1.22657 | ||||||||
\(222\) | 8.23226 | 0.552513 | ||||||||
\(223\) | 12.2066i | 0.817415i | 0.912665 | + | 0.408707i | \(0.134020\pi\) | ||||
−0.912665 | + | 0.408707i | \(0.865980\pi\) | |||||||
\(224\) | −5.99595 | − | 13.8444i | −0.400621 | − | 0.925015i | ||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | − | 6.77471i | − | 0.450647i | ||||||
\(227\) | −20.4996 | −1.36061 | −0.680304 | − | 0.732931i | \(-0.738152\pi\) | ||||
−0.680304 | + | 0.732931i | \(0.738152\pi\) | |||||||
\(228\) | − | 6.10050i | − | 0.404016i | ||||||
\(229\) | − | 12.1756i | − | 0.804583i | −0.915512 | − | 0.402292i | \(-0.868214\pi\) | ||
0.915512 | − | 0.402292i | \(-0.131786\pi\) | |||||||
\(230\) | 3.12272 | 0.205906 | ||||||||
\(231\) | −5.25230 | − | 7.02946i | −0.345576 | − | 0.462505i | ||||
\(232\) | −19.3031 | −1.26731 | ||||||||
\(233\) | 11.7860i | 0.772128i | 0.922472 | + | 0.386064i | \(0.126166\pi\) | ||||
−0.922472 | + | 0.386064i | \(0.873834\pi\) | |||||||
\(234\) | − | 3.00221i | − | 0.196261i | ||||||
\(235\) | −6.68244 | −0.435914 | ||||||||
\(236\) | − | 5.32471i | − | 0.346609i | ||||||
\(237\) | 6.63289 | 0.430852 | ||||||||
\(238\) | −4.72195 | − | 10.9028i | −0.306078 | − | 0.706721i | ||||
\(239\) | − | 1.17430i | − | 0.0759591i | −0.999279 | − | 0.0379795i | \(-0.987908\pi\) | ||
0.999279 | − | 0.0379795i | \(-0.0120922\pi\) | |||||||
\(240\) | −0.110370 | −0.00712434 | ||||||||
\(241\) | 26.6462 | 1.71644 | 0.858218 | − | 0.513286i | \(-0.171572\pi\) | ||||
0.858218 | + | 0.513286i | \(0.171572\pi\) | |||||||
\(242\) | 4.24972 | + | 8.45019i | 0.273182 | + | 0.543199i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 4.27720 | 0.273819 | ||||||||
\(245\) | −5.10567 | − | 4.78875i | −0.326189 | − | 0.305942i | ||||
\(246\) | −2.51083 | −0.160085 | ||||||||
\(247\) | 16.8962 | 1.07508 | ||||||||
\(248\) | −4.96704 | −0.315407 | ||||||||
\(249\) | 7.78700i | 0.493481i | ||||||||
\(250\) | −0.859876 | −0.0543834 | ||||||||
\(251\) | 4.59032i | 0.289738i | 0.989451 | + | 0.144869i | \(0.0462761\pi\) | ||||
−0.989451 | + | 0.144869i | \(0.953724\pi\) | |||||||
\(252\) | 3.06056 | − | 1.32552i | 0.192797 | − | 0.0834998i | ||||
\(253\) | −11.7192 | + | 2.78093i | −0.736780 | + | 0.174836i | ||||
\(254\) | 15.0886 | 0.946746 | ||||||||
\(255\) | −5.22254 | −0.327048 | ||||||||
\(256\) | −15.7096 | −0.981847 | ||||||||
\(257\) | 0.226898i | 0.0141535i | 0.999975 | + | 0.00707677i | \(0.00225262\pi\) | ||||
−0.999975 | + | 0.00707677i | \(0.997747\pi\) | |||||||
\(258\) | − | 3.52598i | − | 0.219518i | ||||||
\(259\) | −23.2435 | + | 10.0667i | −1.44428 | + | 0.625514i | ||||
\(260\) | − | 4.40136i | − | 0.272961i | ||||||
\(261\) | − | 6.88482i | − | 0.426160i | ||||||
\(262\) | − | 12.6301i | − | 0.780291i | ||||||
\(263\) | 19.6401i | 1.21106i | 0.795823 | + | 0.605530i | \(0.207039\pi\) | ||||
−0.795823 | + | 0.605530i | \(0.792961\pi\) | |||||||
\(264\) | −9.04765 | + | 2.14698i | −0.556844 | + | 0.132138i | ||||
\(265\) | − | 7.05177i | − | 0.433187i | ||||||
\(266\) | −4.37546 | − | 10.1027i | −0.268277 | − | 0.619438i | ||||
\(267\) | 13.2622 | 0.811632 | ||||||||
\(268\) | 13.5651 | 0.828621 | ||||||||
\(269\) | − | 27.9427i | − | 1.70370i | −0.523786 | − | 0.851850i | \(-0.675481\pi\) | ||
0.523786 | − | 0.851850i | \(-0.324519\pi\) | |||||||
\(270\) | 0.859876i | 0.0523304i | ||||||||
\(271\) | −26.5685 | −1.61392 | −0.806962 | − | 0.590603i | \(-0.798890\pi\) | ||||
−0.806962 | + | 0.590603i | \(0.798890\pi\) | |||||||
\(272\) | 0.576410 | 0.0349500 | ||||||||
\(273\) | 3.67121 | + | 8.47665i | 0.222192 | + | 0.513030i | ||||
\(274\) | − | 5.23141i | − | 0.316041i | ||||||
\(275\) | 3.22701 | − | 0.765761i | 0.194596 | − | 0.0461771i | ||||
\(276\) | − | 4.57804i | − | 0.275565i | ||||||
\(277\) | − | 2.38638i | − | 0.143383i | −0.997427 | − | 0.0716917i | \(-0.977160\pi\) | ||
0.997427 | − | 0.0716917i | \(-0.0228398\pi\) | |||||||
\(278\) | − | 4.39775i | − | 0.263759i | ||||||
\(279\) | − | 1.77159i | − | 0.106062i | ||||||
\(280\) | −6.80697 | + | 2.94808i | −0.406795 | + | 0.176181i | ||||
\(281\) | − | 30.2645i | − | 1.80543i | −0.430241 | − | 0.902714i | \(-0.641571\pi\) | ||
0.430241 | − | 0.902714i | \(-0.358429\pi\) | |||||||
\(282\) | − | 5.74607i | − | 0.342173i | ||||||
\(283\) | −14.1871 | −0.843334 | −0.421667 | − | 0.906751i | \(-0.638555\pi\) | ||||
−0.421667 | + | 0.906751i | \(0.638555\pi\) | |||||||
\(284\) | −15.9138 | −0.944308 | ||||||||
\(285\) | −4.83931 | −0.286656 | ||||||||
\(286\) | −2.29898 | − | 9.68818i | −0.135941 | − | 0.572874i | ||||
\(287\) | 7.08926 | − | 3.07034i | 0.418466 | − | 0.181236i | ||||
\(288\) | − | 5.70235i | − | 0.336014i | ||||||
\(289\) | 10.2749 | 0.604405 | ||||||||
\(290\) | 5.92009i | 0.347640i | ||||||||
\(291\) | 12.8157 | 0.751272 | ||||||||
\(292\) | −9.25524 | −0.541622 | ||||||||
\(293\) | −18.0515 | −1.05458 | −0.527289 | − | 0.849686i | \(-0.676792\pi\) | ||||
−0.527289 | + | 0.849686i | \(0.676792\pi\) | |||||||
\(294\) | 4.11773 | − | 4.39024i | 0.240151 | − | 0.256044i | ||||
\(295\) | −4.22390 | −0.245925 | ||||||||
\(296\) | 26.8422i | 1.56017i | ||||||||
\(297\) | −0.765761 | − | 3.22701i | −0.0444340 | − | 0.187250i | ||||
\(298\) | −8.16057 | −0.472729 | ||||||||
\(299\) | 12.6795 | 0.733276 | ||||||||
\(300\) | 1.26061i | 0.0727815i | ||||||||
\(301\) | 4.31169 | + | 9.95548i | 0.248521 | + | 0.573824i | ||||
\(302\) | −5.16267 | −0.297078 | ||||||||
\(303\) | 3.67466i | 0.211104i | ||||||||
\(304\) | 0.534114 | 0.0306336 | ||||||||
\(305\) | − | 3.39295i | − | 0.194280i | ||||||
\(306\) | − | 4.49074i | − | 0.256718i | ||||||
\(307\) | 6.64367 | 0.379174 | 0.189587 | − | 0.981864i | \(-0.439285\pi\) | ||||
0.189587 | + | 0.981864i | \(0.439285\pi\) | |||||||
\(308\) | 8.86143 | − | 6.62112i | 0.504927 | − | 0.377273i | ||||
\(309\) | −17.3490 | −0.986950 | ||||||||
\(310\) | 1.52335i | 0.0865202i | ||||||||
\(311\) | 27.7125i | 1.57143i | 0.618589 | + | 0.785715i | \(0.287705\pi\) | ||||
−0.618589 | + | 0.785715i | \(0.712295\pi\) | |||||||
\(312\) | 9.78905 | 0.554196 | ||||||||
\(313\) | 14.0995i | 0.796952i | 0.917179 | + | 0.398476i | \(0.130461\pi\) | ||||
−0.917179 | + | 0.398476i | \(0.869539\pi\) | |||||||
\(314\) | −10.2535 | −0.578639 | ||||||||
\(315\) | −1.05149 | − | 2.42783i | −0.0592446 | − | 0.136793i | ||||
\(316\) | 8.36150i | 0.470371i | ||||||||
\(317\) | 21.3049 | 1.19660 | 0.598301 | − | 0.801272i | \(-0.295843\pi\) | ||||
0.598301 | + | 0.801272i | \(0.295843\pi\) | |||||||
\(318\) | 6.06365 | 0.340032 | ||||||||
\(319\) | −5.27213 | − | 22.2174i | −0.295182 | − | 1.24394i | ||||
\(320\) | 4.68258i | 0.261764i | ||||||||
\(321\) | 1.09041 | 0.0608607 | ||||||||
\(322\) | −3.28350 | − | 7.58145i | −0.182982 | − | 0.422498i | ||||
\(323\) | 25.2735 | 1.40625 | ||||||||
\(324\) | 1.26061 | 0.0700340 | ||||||||
\(325\) | −3.49145 | −0.193671 | ||||||||
\(326\) | 8.92270i | 0.494183i | ||||||||
\(327\) | 8.17579 | 0.452122 | ||||||||
\(328\) | − | 8.18686i | − | 0.452044i | ||||||
\(329\) | 7.02650 | + | 16.2238i | 0.387383 | + | 0.894450i | ||||
\(330\) | 0.658460 | + | 2.77483i | 0.0362470 | + | 0.152749i | ||||
\(331\) | 12.2216 | 0.671762 | 0.335881 | − | 0.941904i | \(-0.390966\pi\) | ||||
0.335881 | + | 0.941904i | \(0.390966\pi\) | |||||||
\(332\) | −9.81639 | −0.538744 | ||||||||
\(333\) | −9.57378 | −0.524640 | ||||||||
\(334\) | 11.3281i | 0.619846i | ||||||||
\(335\) | − | 10.7607i | − | 0.587922i | ||||||
\(336\) | 0.116052 | + | 0.267959i | 0.00633118 | + | 0.0146184i | ||||
\(337\) | − | 25.4345i | − | 1.38550i | −0.721176 | − | 0.692752i | \(-0.756398\pi\) | ||
0.721176 | − | 0.692752i | \(-0.243602\pi\) | |||||||
\(338\) | − | 0.696324i | − | 0.0378751i | ||||||
\(339\) | 7.87871i | 0.427913i | ||||||||
\(340\) | − | 6.58360i | − | 0.357046i | ||||||
\(341\) | −1.35661 | − | 5.71693i | −0.0734647 | − | 0.309589i | ||||
\(342\) | − | 4.16121i | − | 0.225013i | ||||||
\(343\) | −6.25774 | + | 17.4310i | −0.337886 | + | 0.941187i | ||||
\(344\) | 11.4968 | 0.619868 | ||||||||
\(345\) | −3.63160 | −0.195519 | ||||||||
\(346\) | 3.72211i | 0.200102i | ||||||||
\(347\) | − | 22.7915i | − | 1.22351i | −0.791046 | − | 0.611756i | \(-0.790463\pi\) | ||
0.791046 | − | 0.611756i | \(-0.209537\pi\) | |||||||
\(348\) | 8.67909 | 0.465248 | ||||||||
\(349\) | −30.6580 | −1.64108 | −0.820542 | − | 0.571586i | \(-0.806329\pi\) | ||||
−0.820542 | + | 0.571586i | \(0.806329\pi\) | |||||||
\(350\) | 0.904149 | + | 2.08764i | 0.0483288 | + | 0.111589i | ||||
\(351\) | 3.49145i | 0.186360i | ||||||||
\(352\) | −4.36664 | − | 18.4016i | −0.232743 | − | 0.980806i | ||||
\(353\) | − | 19.4293i | − | 1.03412i | −0.855950 | − | 0.517058i | \(-0.827027\pi\) | ||
0.855950 | − | 0.517058i | \(-0.172973\pi\) | |||||||
\(354\) | − | 3.63203i | − | 0.193040i | ||||||
\(355\) | 12.6238i | 0.670004i | ||||||||
\(356\) | 16.7185i | 0.886077i | ||||||||
\(357\) | 5.49143 | + | 12.6794i | 0.290637 | + | 0.671068i | ||||
\(358\) | 16.1798i | 0.855128i | ||||||||
\(359\) | − | 10.1311i | − | 0.534701i | −0.963599 | − | 0.267350i | \(-0.913852\pi\) | ||
0.963599 | − | 0.267350i | \(-0.0861481\pi\) | |||||||
\(360\) | −2.80372 | −0.147769 | ||||||||
\(361\) | 4.41897 | 0.232577 | ||||||||
\(362\) | 13.2480 | 0.696297 | ||||||||
\(363\) | −4.94224 | − | 9.82722i | −0.259400 | − | 0.515795i | ||||
\(364\) | −10.6858 | + | 4.62798i | −0.560087 | + | 0.242572i | ||||
\(365\) | 7.34186i | 0.384291i | ||||||||
\(366\) | 2.91752 | 0.152501 | ||||||||
\(367\) | − | 22.2494i | − | 1.16141i | −0.814115 | − | 0.580704i | \(-0.802777\pi\) | ||
0.814115 | − | 0.580704i | \(-0.197223\pi\) | |||||||
\(368\) | 0.400818 | 0.0208941 | ||||||||
\(369\) | 2.92000 | 0.152009 | ||||||||
\(370\) | 8.23226 | 0.427975 | ||||||||
\(371\) | −17.1205 | + | 7.41484i | −0.888853 | + | 0.384959i | ||||
\(372\) | 2.23329 | 0.115790 | ||||||||
\(373\) | − | 5.98171i | − | 0.309721i | −0.987936 | − | 0.154861i | \(-0.950507\pi\) | ||
0.987936 | − | 0.154861i | \(-0.0494928\pi\) | |||||||
\(374\) | −3.43883 | − | 14.4917i | −0.177818 | − | 0.749346i | ||||
\(375\) | 1.00000 | 0.0516398 | ||||||||
\(376\) | 18.7357 | 0.966220 | ||||||||
\(377\) | 24.0380i | 1.23802i | ||||||||
\(378\) | 2.08764 | − | 0.904149i | 0.107376 | − | 0.0465044i | ||||
\(379\) | −21.7826 | −1.11890 | −0.559448 | − | 0.828865i | \(-0.688987\pi\) | ||||
−0.559448 | + | 0.828865i | \(0.688987\pi\) | |||||||
\(380\) | − | 6.10050i | − | 0.312949i | ||||||
\(381\) | −17.5475 | −0.898984 | ||||||||
\(382\) | − | 14.1136i | − | 0.722116i | ||||||
\(383\) | − | 1.71341i | − | 0.0875510i | −0.999041 | − | 0.0437755i | \(-0.986061\pi\) | ||
0.999041 | − | 0.0437755i | \(-0.0139386\pi\) | |||||||
\(384\) | 7.37827 | 0.376521 | ||||||||
\(385\) | −5.25230 | − | 7.02946i | −0.267682 | − | 0.358255i | ||||
\(386\) | −10.1722 | −0.517749 | ||||||||
\(387\) | 4.10056i | 0.208443i | ||||||||
\(388\) | 16.1557i | 0.820181i | ||||||||
\(389\) | −9.67848 | −0.490719 | −0.245359 | − | 0.969432i | \(-0.578906\pi\) | ||||
−0.245359 | + | 0.969432i | \(0.578906\pi\) | |||||||
\(390\) | − | 3.00221i | − | 0.152023i | ||||||
\(391\) | 18.9661 | 0.959159 | ||||||||
\(392\) | 14.3149 | + | 13.4263i | 0.723011 | + | 0.678132i | ||||
\(393\) | 14.6883i | 0.740927i | ||||||||
\(394\) | 17.1576 | 0.864385 | ||||||||
\(395\) | 6.63289 | 0.333737 | ||||||||
\(396\) | 4.06801 | − | 0.965328i | 0.204425 | − | 0.0485096i | ||||
\(397\) | − | 29.8418i | − | 1.49772i | −0.662729 | − | 0.748860i | \(-0.730602\pi\) | ||
0.662729 | − | 0.748860i | \(-0.269398\pi\) | |||||||
\(398\) | 7.21000 | 0.361405 | ||||||||
\(399\) | 5.08848 | + | 11.7491i | 0.254742 | + | 0.588188i | ||||
\(400\) | −0.110370 | −0.00551849 | ||||||||
\(401\) | 18.9321 | 0.945425 | 0.472712 | − | 0.881217i | \(-0.343275\pi\) | ||||
0.472712 | + | 0.881217i | \(0.343275\pi\) | |||||||
\(402\) | 9.25290 | 0.461493 | ||||||||
\(403\) | 6.18540i | 0.308117i | ||||||||
\(404\) | −4.63233 | −0.230467 | ||||||||
\(405\) | − | 1.00000i | − | 0.0496904i | ||||||
\(406\) | 14.3730 | − | 6.22490i | 0.713320 | − | 0.308937i | ||||
\(407\) | −30.8947 | + | 7.33122i | −1.53139 | + | 0.363395i | ||||
\(408\) | 14.6425 | 0.724914 | ||||||||
\(409\) | 22.3336 | 1.10432 | 0.552162 | − | 0.833737i | \(-0.313803\pi\) | ||||
0.552162 | + | 0.833737i | \(0.313803\pi\) | |||||||
\(410\) | −2.51083 | −0.124001 | ||||||||
\(411\) | 6.08391i | 0.300097i | ||||||||
\(412\) | − | 21.8704i | − | 1.07748i | ||||||
\(413\) | 4.44138 | + | 10.2549i | 0.218546 | + | 0.504612i | ||||
\(414\) | − | 3.12272i | − | 0.153473i | ||||||
\(415\) | 7.78700i | 0.382249i | ||||||||
\(416\) | 19.9095i | 0.976142i | ||||||||
\(417\) | 5.11439i | 0.250453i | ||||||||
\(418\) | −3.18649 | − | 13.4283i | −0.155856 | − | 0.656799i | ||||
\(419\) | 1.95078i | 0.0953018i | 0.998864 | + | 0.0476509i | \(0.0151735\pi\) | ||||
−0.998864 | + | 0.0476509i | \(0.984827\pi\) | |||||||
\(420\) | 3.06056 | − | 1.32552i | 0.149340 | − | 0.0646786i | ||||
\(421\) | −33.4148 | −1.62854 | −0.814270 | − | 0.580487i | \(-0.802862\pi\) | ||||
−0.814270 | + | 0.580487i | \(0.802862\pi\) | |||||||
\(422\) | 7.84365 | 0.381823 | ||||||||
\(423\) | 6.68244i | 0.324911i | ||||||||
\(424\) | 19.7712i | 0.960175i | ||||||||
\(425\) | −5.22254 | −0.253330 | ||||||||
\(426\) | −10.8549 | −0.525923 | ||||||||
\(427\) | −8.23752 | + | 3.56764i | −0.398641 | + | 0.172650i | ||||
\(428\) | 1.37458i | 0.0664430i | ||||||||
\(429\) | 2.67361 | + | 11.2669i | 0.129083 | + | 0.543973i | ||||
\(430\) | − | 3.52598i | − | 0.170038i | ||||||
\(431\) | − | 25.9291i | − | 1.24896i | −0.781041 | − | 0.624480i | \(-0.785311\pi\) | ||
0.781041 | − | 0.624480i | \(-0.214689\pi\) | |||||||
\(432\) | 0.110370i | 0.00531017i | ||||||||
\(433\) | − | 11.7810i | − | 0.566159i | −0.959096 | − | 0.283080i | \(-0.908644\pi\) | ||
0.959096 | − | 0.283080i | \(-0.0913561\pi\) | |||||||
\(434\) | 3.69843 | − | 1.60178i | 0.177530 | − | 0.0768878i | ||||
\(435\) | − | 6.88482i | − | 0.330102i | ||||||
\(436\) | 10.3065i | 0.493592i | ||||||||
\(437\) | 17.5744 | 0.840699 | ||||||||
\(438\) | −6.31309 | −0.301651 | ||||||||
\(439\) | −0.0940499 | −0.00448876 | −0.00224438 | − | 0.999997i | \(-0.500714\pi\) | ||||
−0.00224438 | + | 0.999997i | \(0.500714\pi\) | |||||||
\(440\) | −9.04765 | + | 2.14698i | −0.431330 | + | 0.102353i | ||||
\(441\) | −4.78875 | + | 5.10567i | −0.228036 | + | 0.243127i | ||||
\(442\) | 15.6792i | 0.745782i | ||||||||
\(443\) | 23.1055 | 1.09778 | 0.548889 | − | 0.835896i | \(-0.315051\pi\) | ||||
0.548889 | + | 0.835896i | \(0.315051\pi\) | |||||||
\(444\) | − | 12.0688i | − | 0.572761i | ||||||
\(445\) | 13.2622 | 0.628688 | ||||||||
\(446\) | −10.4962 | −0.497008 | ||||||||
\(447\) | 9.49040 | 0.448880 | ||||||||
\(448\) | 11.3685 | − | 4.92367i | 0.537112 | − | 0.232621i | ||||
\(449\) | −30.1507 | −1.42290 | −0.711451 | − | 0.702736i | \(-0.751961\pi\) | ||||
−0.711451 | + | 0.702736i | \(0.751961\pi\) | |||||||
\(450\) | 0.859876i | 0.0405350i | ||||||||
\(451\) | 9.42286 | − | 2.23602i | 0.443705 | − | 0.105290i | ||||
\(452\) | −9.93200 | −0.467162 | ||||||||
\(453\) | 6.00397 | 0.282091 | ||||||||
\(454\) | − | 17.6271i | − | 0.827282i | ||||||
\(455\) | 3.67121 | + | 8.47665i | 0.172109 | + | 0.397392i | ||||
\(456\) | 13.5681 | 0.635385 | ||||||||
\(457\) | − | 26.3725i | − | 1.23365i | −0.787099 | − | 0.616826i | \(-0.788418\pi\) | ||
0.787099 | − | 0.616826i | \(-0.211582\pi\) | |||||||
\(458\) | 10.4695 | 0.489206 | ||||||||
\(459\) | 5.22254i | 0.243767i | ||||||||
\(460\) | − | 4.57804i | − | 0.213452i | ||||||
\(461\) | 15.0909 | 0.702853 | 0.351426 | − | 0.936216i | \(-0.385697\pi\) | ||||
0.351426 | + | 0.936216i | \(0.385697\pi\) | |||||||
\(462\) | 6.04447 | − | 4.51633i | 0.281214 | − | 0.210119i | ||||
\(463\) | −2.97704 | −0.138355 | −0.0691775 | − | 0.997604i | \(-0.522037\pi\) | ||||
−0.0691775 | + | 0.997604i | \(0.522037\pi\) | |||||||
\(464\) | 0.759876i | 0.0352764i | ||||||||
\(465\) | − | 1.77159i | − | 0.0821554i | ||||||
\(466\) | −10.1345 | −0.469473 | ||||||||
\(467\) | 11.3706i | 0.526168i | 0.964773 | + | 0.263084i | \(0.0847396\pi\) | ||||
−0.964773 | + | 0.263084i | \(0.915260\pi\) | |||||||
\(468\) | −4.40136 | −0.203453 | ||||||||
\(469\) | −26.1253 | + | 11.3148i | −1.20635 | + | 0.522467i | ||||
\(470\) | − | 5.74607i | − | 0.265046i | ||||||
\(471\) | 11.9244 | 0.549448 | ||||||||
\(472\) | 11.8427 | 0.545102 | ||||||||
\(473\) | 3.14005 | + | 13.2326i | 0.144380 | + | 0.608434i | ||||
\(474\) | 5.70346i | 0.261969i | ||||||||
\(475\) | −4.83931 | −0.222043 | ||||||||
\(476\) | −15.9839 | + | 6.92256i | −0.732620 | + | 0.317295i | ||||
\(477\) | −7.05177 | −0.322878 | ||||||||
\(478\) | 1.00975 | 0.0461850 | ||||||||
\(479\) | −7.17697 | −0.327924 | −0.163962 | − | 0.986467i | \(-0.552427\pi\) | ||||
−0.163962 | + | 0.986467i | \(0.552427\pi\) | |||||||
\(480\) | − | 5.70235i | − | 0.260276i | ||||||
\(481\) | 33.4263 | 1.52411 | ||||||||
\(482\) | 22.9125i | 1.04363i | ||||||||
\(483\) | 3.81857 | + | 8.81691i | 0.173751 | + | 0.401183i | ||||
\(484\) | 12.3883 | − | 6.23025i | 0.563105 | − | 0.283193i | ||||
\(485\) | 12.8157 | 0.581933 | ||||||||
\(486\) | 0.859876 | 0.0390048 | ||||||||
\(487\) | 15.0191 | 0.680580 | 0.340290 | − | 0.940321i | \(-0.389475\pi\) | ||||
0.340290 | + | 0.940321i | \(0.389475\pi\) | |||||||
\(488\) | 9.51289i | 0.430628i | ||||||||
\(489\) | − | 10.3767i | − | 0.469252i | ||||||
\(490\) | 4.11773 | − | 4.39024i | 0.186020 | − | 0.198331i | ||||
\(491\) | − | 1.66709i | − | 0.0752348i | −0.999292 | − | 0.0376174i | \(-0.988023\pi\) | ||
0.999292 | − | 0.0376174i | \(-0.0119768\pi\) | |||||||
\(492\) | 3.68098i | 0.165952i | ||||||||
\(493\) | 35.9562i | 1.61939i | ||||||||
\(494\) | 14.5287i | 0.653675i | ||||||||
\(495\) | −0.765761 | − | 3.22701i | −0.0344184 | − | 0.145043i | ||||
\(496\) | 0.195530i | 0.00877954i | ||||||||
\(497\) | 30.6486 | − | 13.2738i | 1.37478 | − | 0.595411i | ||||
\(498\) | −6.69586 | −0.300048 | ||||||||
\(499\) | −18.4748 | −0.827047 | −0.413523 | − | 0.910494i | \(-0.635702\pi\) | ||||
−0.413523 | + | 0.910494i | \(0.635702\pi\) | |||||||
\(500\) | 1.26061i | 0.0563763i | ||||||||
\(501\) | − | 13.1741i | − | 0.588575i | ||||||
\(502\) | −3.94711 | −0.176168 | ||||||||
\(503\) | 5.88295 | 0.262308 | 0.131154 | − | 0.991362i | \(-0.458132\pi\) | ||||
0.131154 | + | 0.991362i | \(0.458132\pi\) | |||||||
\(504\) | 2.94808 | + | 6.80697i | 0.131318 | + | 0.303207i | ||||
\(505\) | 3.67466i | 0.163520i | ||||||||
\(506\) | −2.39126 | − | 10.0771i | −0.106304 | − | 0.447980i | ||||
\(507\) | 0.809796i | 0.0359643i | ||||||||
\(508\) | − | 22.1206i | − | 0.981441i | ||||||
\(509\) | 27.2518i | 1.20791i | 0.797017 | + | 0.603957i | \(0.206410\pi\) | ||||
−0.797017 | + | 0.603957i | \(0.793590\pi\) | |||||||
\(510\) | − | 4.49074i | − | 0.198853i | ||||||
\(511\) | 17.8248 | − | 7.71987i | 0.788524 | − | 0.341507i | ||||
\(512\) | 1.24826i | 0.0551658i | ||||||||
\(513\) | 4.83931i | 0.213661i | ||||||||
\(514\) | −0.195105 | −0.00860569 | ||||||||
\(515\) | −17.3490 | −0.764488 | ||||||||
\(516\) | −5.16922 | −0.227562 | ||||||||
\(517\) | 5.11715 | + | 21.5643i | 0.225052 | + | 0.948397i | ||||
\(518\) | −8.65612 | − | 19.9866i | −0.380328 | − | 0.878159i | ||||
\(519\) | − | 4.32866i | − | 0.190007i | ||||||
\(520\) | 9.78905 | 0.429278 | ||||||||
\(521\) | − | 24.1726i | − | 1.05902i | −0.848303 | − | 0.529510i | \(-0.822376\pi\) | ||
0.848303 | − | 0.529510i | \(-0.177624\pi\) | |||||||
\(522\) | 5.92009 | 0.259115 | ||||||||
\(523\) | −19.6895 | −0.860963 | −0.430482 | − | 0.902599i | \(-0.641656\pi\) | ||||
−0.430482 | + | 0.902599i | \(0.641656\pi\) | |||||||
\(524\) | −18.5163 | −0.808886 | ||||||||
\(525\) | −1.05149 | − | 2.42783i | −0.0458906 | − | 0.105959i | ||||
\(526\) | −16.8880 | −0.736354 | ||||||||
\(527\) | 9.25218i | 0.403031i | ||||||||
\(528\) | 0.0845169 | + | 0.356165i | 0.00367812 | + | 0.0155001i | ||||
\(529\) | −9.81152 | −0.426588 | ||||||||
\(530\) | 6.06365 | 0.263388 | ||||||||
\(531\) | 4.22390i | 0.183302i | ||||||||
\(532\) | −14.8110 | + | 6.41460i | −0.642138 | + | 0.278108i | ||||
\(533\) | −10.1950 | −0.441595 | ||||||||
\(534\) | 11.4038i | 0.493492i | ||||||||
\(535\) | 1.09041 | 0.0471425 | ||||||||
\(536\) | 30.1701i | 1.30315i | ||||||||
\(537\) | − | 18.8164i | − | 0.811988i | ||||||
\(538\) | 24.0273 | 1.03589 | ||||||||
\(539\) | −11.5436 | + | 20.1431i | −0.497220 | + | 0.867625i | ||||
\(540\) | 1.26061 | 0.0542481 | ||||||||
\(541\) | 42.3962i | 1.82276i | 0.411570 | + | 0.911378i | \(0.364981\pi\) | ||||
−0.411570 | + | 0.911378i | \(0.635019\pi\) | |||||||
\(542\) | − | 22.8457i | − | 0.981305i | ||||||
\(543\) | −15.4068 | −0.661170 | ||||||||
\(544\) | 29.7807i | 1.27684i | ||||||||
\(545\) | 8.17579 | 0.350212 | ||||||||
\(546\) | −7.28887 | + | 3.15679i | −0.311935 | + | 0.135098i | ||||
\(547\) | 32.4310i | 1.38665i | 0.720625 | + | 0.693325i | \(0.243855\pi\) | ||||
−0.720625 | + | 0.693325i | \(0.756145\pi\) | |||||||
\(548\) | −7.66945 | −0.327623 | ||||||||
\(549\) | −3.39295 | −0.144808 | ||||||||
\(550\) | 0.658460 | + | 2.77483i | 0.0280768 | + | 0.118319i | ||||
\(551\) | 33.3178i | 1.41939i | ||||||||
\(552\) | 10.1820 | 0.433374 | ||||||||
\(553\) | −6.97439 | − | 16.1035i | −0.296581 | − | 0.684793i | ||||
\(554\) | 2.05199 | 0.0871806 | ||||||||
\(555\) | −9.57378 | −0.406384 | ||||||||
\(556\) | −6.44727 | −0.273425 | ||||||||
\(557\) | − | 42.7904i | − | 1.81309i | −0.422110 | − | 0.906545i | \(-0.638710\pi\) | ||
0.422110 | − | 0.906545i | \(-0.361290\pi\) | |||||||
\(558\) | 1.52335 | 0.0644884 | ||||||||
\(559\) | − | 14.3169i | − | 0.605540i | ||||||
\(560\) | 0.116052 | + | 0.267959i | 0.00490411 | + | 0.0113234i | ||||
\(561\) | 3.99921 | + | 16.8532i | 0.168847 | + | 0.711542i | ||||
\(562\) | 26.0237 | 1.09774 | ||||||||
\(563\) | 6.74548 | 0.284288 | 0.142144 | − | 0.989846i | \(-0.454600\pi\) | ||||
0.142144 | + | 0.989846i | \(0.454600\pi\) | |||||||
\(564\) | −8.42397 | −0.354713 | ||||||||
\(565\) | 7.87871i | 0.331460i | ||||||||
\(566\) | − | 12.1991i | − | 0.512767i | ||||||
\(567\) | −2.42783 | + | 1.05149i | −0.101959 | + | 0.0441583i | ||||
\(568\) | − | 35.3937i | − | 1.48509i | ||||||
\(569\) | − | 32.5796i | − | 1.36581i | −0.730507 | − | 0.682905i | \(-0.760716\pi\) | ||
0.730507 | − | 0.682905i | \(-0.239284\pi\) | |||||||
\(570\) | − | 4.16121i | − | 0.174294i | ||||||
\(571\) | − | 1.96737i | − | 0.0823318i | −0.999152 | − | 0.0411659i | \(-0.986893\pi\) | ||
0.999152 | − | 0.0411659i | \(-0.0131072\pi\) | |||||||
\(572\) | −14.2033 | + | 3.37039i | −0.593868 | + | 0.140923i | ||||
\(573\) | 16.4135i | 0.685686i | ||||||||
\(574\) | 2.64011 | + | 6.09589i | 0.110196 | + | 0.254437i | ||||
\(575\) | −3.63160 | −0.151448 | ||||||||
\(576\) | 4.68258 | 0.195107 | ||||||||
\(577\) | 24.9783i | 1.03986i | 0.854209 | + | 0.519930i | \(0.174042\pi\) | ||||
−0.854209 | + | 0.519930i | \(0.825958\pi\) | |||||||
\(578\) | 8.83513i | 0.367493i | ||||||||
\(579\) | 11.8298 | 0.491630 | ||||||||
\(580\) | 8.67909 | 0.360380 | ||||||||
\(581\) | 18.9055 | − | 8.18793i | 0.784334 | − | 0.339692i | ||||
\(582\) | 11.0200i | 0.456792i | ||||||||
\(583\) | −22.7561 | + | 5.39997i | −0.942463 | + | 0.223644i | ||||
\(584\) | − | 20.5846i | − | 0.851795i | ||||||
\(585\) | 3.49145i | 0.144354i | ||||||||
\(586\) | − | 15.5220i | − | 0.641210i | ||||||
\(587\) | 18.5839i | 0.767039i | 0.923533 | + | 0.383520i | \(0.125288\pi\) | ||||
−0.923533 | + | 0.383520i | \(0.874712\pi\) | |||||||
\(588\) | −6.43627 | − | 6.03676i | −0.265427 | − | 0.248952i | ||||
\(589\) | 8.57327i | 0.353255i | ||||||||
\(590\) | − | 3.63203i | − | 0.149528i | ||||||
\(591\) | −19.9535 | −0.820778 | ||||||||
\(592\) | 1.05666 | 0.0434283 | ||||||||
\(593\) | 38.4539 | 1.57911 | 0.789556 | − | 0.613678i | \(-0.210311\pi\) | ||||
0.789556 | + | 0.613678i | \(0.210311\pi\) | |||||||
\(594\) | 2.77483 | − | 0.658460i | 0.113853 | − | 0.0270169i | ||||
\(595\) | 5.49143 | + | 12.6794i | 0.225127 | + | 0.519807i | ||||
\(596\) | 11.9637i | 0.490053i | ||||||||
\(597\) | −8.38493 | −0.343172 | ||||||||
\(598\) | 10.9028i | 0.445850i | ||||||||
\(599\) | 33.7186 | 1.37771 | 0.688853 | − | 0.724901i | \(-0.258115\pi\) | ||||
0.688853 | + | 0.724901i | \(0.258115\pi\) | |||||||
\(600\) | −2.80372 | −0.114462 | ||||||||
\(601\) | 12.8064 | 0.522385 | 0.261193 | − | 0.965287i | \(-0.415884\pi\) | ||||
0.261193 | + | 0.965287i | \(0.415884\pi\) | |||||||
\(602\) | −8.56048 | + | 3.70752i | −0.348899 | + | 0.151107i | ||||
\(603\) | −10.7607 | −0.438211 | ||||||||
\(604\) | 7.56868i | 0.307965i | ||||||||
\(605\) | −4.94224 | − | 9.82722i | −0.200931 | − | 0.399533i | ||||
\(606\) | −3.15976 | −0.128356 | ||||||||
\(607\) | −38.5457 | −1.56452 | −0.782261 | − | 0.622951i | \(-0.785934\pi\) | ||||
−0.782261 | + | 0.622951i | \(0.785934\pi\) | |||||||
\(608\) | 27.5955i | 1.11914i | ||||||||
\(609\) | −16.7152 | + | 7.23930i | −0.677334 | + | 0.293351i | ||||
\(610\) | 2.91752 | 0.118127 | ||||||||
\(611\) | − | 23.3314i | − | 0.943887i | ||||||
\(612\) | −6.58360 | −0.266126 | ||||||||
\(613\) | 31.0256i | 1.25311i | 0.779376 | + | 0.626556i | \(0.215536\pi\) | ||||
−0.779376 | + | 0.626556i | \(0.784464\pi\) | |||||||
\(614\) | 5.71274i | 0.230547i | ||||||||
\(615\) | 2.92000 | 0.117746 | ||||||||
\(616\) | 14.7260 | + | 19.7087i | 0.593328 | + | 0.794085i | ||||
\(617\) | −7.29895 | −0.293845 | −0.146922 | − | 0.989148i | \(-0.546937\pi\) | ||||
−0.146922 | + | 0.989148i | \(0.546937\pi\) | |||||||
\(618\) | − | 14.9180i | − | 0.600090i | ||||||
\(619\) | − | 6.40581i | − | 0.257471i | −0.991679 | − | 0.128736i | \(-0.958908\pi\) | ||
0.991679 | − | 0.128736i | \(-0.0410919\pi\) | |||||||
\(620\) | 2.23329 | 0.0896909 | ||||||||
\(621\) | 3.63160i | 0.145731i | ||||||||
\(622\) | −23.8293 | −0.955468 | ||||||||
\(623\) | −13.9450 | − | 32.1984i | −0.558695 | − | 1.29000i | ||||
\(624\) | − | 0.385350i | − | 0.0154264i | ||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −12.1238 | −0.484566 | ||||||||
\(627\) | 3.70576 | + | 15.6165i | 0.147994 | + | 0.623664i | ||||
\(628\) | 15.0321i | 0.599845i | ||||||||
\(629\) | 49.9994 | 1.99361 | ||||||||
\(630\) | 2.08764 | − | 0.904149i | 0.0831734 | − | 0.0360221i | ||||
\(631\) | 10.0326 | 0.399392 | 0.199696 | − | 0.979858i | \(-0.436005\pi\) | ||||
0.199696 | + | 0.979858i | \(0.436005\pi\) | |||||||
\(632\) | −18.5968 | −0.739740 | ||||||||
\(633\) | −9.12184 | −0.362561 | ||||||||
\(634\) | 18.3196i | 0.727563i | ||||||||
\(635\) | −17.5475 | −0.696350 | ||||||||
\(636\) | − | 8.88955i | − | 0.352493i | ||||||
\(637\) | 16.7197 | − | 17.8262i | 0.662457 | − | 0.706299i | ||||
\(638\) | 19.1042 | − | 4.53338i | 0.756343 | − | 0.179478i | ||||
\(639\) | 12.6238 | 0.499391 | ||||||||
\(640\) | 7.37827 | 0.291652 | ||||||||
\(641\) | 10.1330 | 0.400229 | 0.200115 | − | 0.979773i | \(-0.435869\pi\) | ||||
0.200115 | + | 0.979773i | \(0.435869\pi\) | |||||||
\(642\) | 0.937617i | 0.0370048i | ||||||||
\(643\) | 20.7462i | 0.818151i | 0.912501 | + | 0.409075i | \(0.134149\pi\) | ||||
−0.912501 | + | 0.409075i | \(0.865851\pi\) | |||||||
\(644\) | −11.1147 | + | 4.81374i | −0.437981 | + | 0.189688i | ||||
\(645\) | 4.10056i | 0.161459i | ||||||||
\(646\) | 21.7321i | 0.855037i | ||||||||
\(647\) | − | 24.6487i | − | 0.969042i | −0.874780 | − | 0.484521i | \(-0.838994\pi\) | ||
0.874780 | − | 0.484521i | \(-0.161006\pi\) | |||||||
\(648\) | 2.80372i | 0.110141i | ||||||||
\(649\) | 3.23450 | + | 13.6306i | 0.126965 | + | 0.535047i | ||||
\(650\) | − | 3.00221i | − | 0.117756i | ||||||
\(651\) | −4.30112 | + | 1.86280i | −0.168574 | + | 0.0730089i | ||||
\(652\) | 13.0810 | 0.512293 | ||||||||
\(653\) | 25.2179 | 0.986851 | 0.493425 | − | 0.869788i | \(-0.335745\pi\) | ||||
0.493425 | + | 0.869788i | \(0.335745\pi\) | |||||||
\(654\) | 7.03017i | 0.274901i | ||||||||
\(655\) | 14.6883i | 0.573919i | ||||||||
\(656\) | −0.322279 | −0.0125829 | ||||||||
\(657\) | 7.34186 | 0.286433 | ||||||||
\(658\) | −13.9505 | + | 6.04192i | −0.543847 | + | 0.235538i | ||||
\(659\) | 27.1494i | 1.05759i | 0.848749 | + | 0.528796i | \(0.177356\pi\) | ||||
−0.848749 | + | 0.528796i | \(0.822644\pi\) | |||||||
\(660\) | 4.06801 | − | 0.965328i | 0.158347 | − | 0.0375753i | ||||
\(661\) | 34.6718i | 1.34858i | 0.738469 | + | 0.674288i | \(0.235549\pi\) | ||||
−0.738469 | + | 0.674288i | \(0.764451\pi\) | |||||||
\(662\) | 10.5091i | 0.408448i | ||||||||
\(663\) | − | 18.2342i | − | 0.708158i | ||||||
\(664\) | − | 21.8326i | − | 0.847269i | ||||||
\(665\) | 5.08848 | + | 11.7491i | 0.197323 | + | 0.455609i | ||||
\(666\) | − | 8.23226i | − | 0.318994i | ||||||
\(667\) | 25.0029i | 0.968115i | ||||||||
\(668\) | 16.6074 | 0.642561 | ||||||||
\(669\) | 12.2066 | 0.471935 | ||||||||
\(670\) | 9.25290 | 0.357471 | ||||||||
\(671\) | −10.9491 | + | 2.59819i | −0.422685 | + | 0.100302i | ||||
\(672\) | −13.8444 | + | 5.99595i | −0.534058 | + | 0.231299i | ||||
\(673\) | 50.2414i | 1.93667i | 0.249663 | + | 0.968333i | \(0.419680\pi\) | ||||
−0.249663 | + | 0.968333i | \(0.580320\pi\) | |||||||
\(674\) | 21.8705 | 0.842420 | ||||||||
\(675\) | − | 1.00000i | − | 0.0384900i | ||||||
\(676\) | −1.02084 | −0.0392630 | ||||||||
\(677\) | 38.9406 | 1.49661 | 0.748304 | − | 0.663356i | \(-0.230868\pi\) | ||||
0.748304 | + | 0.663356i | \(0.230868\pi\) | |||||||
\(678\) | −6.77471 | −0.260181 | ||||||||
\(679\) | −13.4756 | − | 31.1145i | −0.517146 | − | 1.19406i | ||||
\(680\) | 14.6425 | 0.561516 | ||||||||
\(681\) | 20.4996i | 0.785547i | ||||||||
\(682\) | 4.91586 | − | 1.16652i | 0.188238 | − | 0.0446683i | ||||
\(683\) | −23.1688 | −0.886531 | −0.443265 | − | 0.896390i | \(-0.646180\pi\) | ||||
−0.443265 | + | 0.896390i | \(0.646180\pi\) | |||||||
\(684\) | −6.10050 | −0.233259 | ||||||||
\(685\) | 6.08391i | 0.232454i | ||||||||
\(686\) | −14.9885 | − | 5.38089i | −0.572265 | − | 0.205443i | ||||
\(687\) | −12.1756 | −0.464526 | ||||||||
\(688\) | − | 0.452578i | − | 0.0172544i | ||||||
\(689\) | 24.6209 | 0.937980 | ||||||||
\(690\) | − | 3.12272i | − | 0.118880i | ||||||
\(691\) | − | 3.18446i | − | 0.121142i | −0.998164 | − | 0.0605712i | \(-0.980708\pi\) | ||
0.998164 | − | 0.0605712i | \(-0.0192922\pi\) | |||||||
\(692\) | 5.45676 | 0.207435 | ||||||||
\(693\) | −7.02946 | + | 5.25230i | −0.267027 | + | 0.199518i | ||||
\(694\) | 19.5979 | 0.743926 | ||||||||
\(695\) | 5.11439i | 0.194000i | ||||||||
\(696\) | 19.3031i | 0.731683i | ||||||||
\(697\) | −15.2498 | −0.577627 | ||||||||
\(698\) | − | 26.3621i | − | 0.997820i | ||||||
\(699\) | 11.7860 | 0.445789 | ||||||||
\(700\) | 3.06056 | − | 1.32552i | 0.115678 | − | 0.0500999i | ||||
\(701\) | − | 36.3597i | − | 1.37329i | −0.726994 | − | 0.686644i | \(-0.759083\pi\) | ||
0.726994 | − | 0.686644i | \(-0.240917\pi\) | |||||||
\(702\) | −3.00221 | −0.113311 | ||||||||
\(703\) | 46.3305 | 1.74739 | ||||||||
\(704\) | 15.1107 | − | 3.58573i | 0.569507 | − | 0.135142i | ||||
\(705\) | 6.68244i | 0.251675i | ||||||||
\(706\) | 16.7068 | 0.628768 | ||||||||
\(707\) | 8.92147 | − | 3.86386i | 0.335526 | − | 0.145315i | ||||
\(708\) | −5.32471 | −0.200115 | ||||||||
\(709\) | −9.34795 | −0.351070 | −0.175535 | − | 0.984473i | \(-0.556165\pi\) | ||||
−0.175535 | + | 0.984473i | \(0.556165\pi\) | |||||||
\(710\) | −10.8549 | −0.407378 | ||||||||
\(711\) | − | 6.63289i | − | 0.248753i | ||||||
\(712\) | −37.1835 | −1.39351 | ||||||||
\(713\) | 6.43369i | 0.240944i | ||||||||
\(714\) | −10.9028 | + | 4.72195i | −0.408025 | + | 0.176715i | ||||
\(715\) | 2.67361 | + | 11.2669i | 0.0999875 | + | 0.421360i | ||||
\(716\) | 23.7202 | 0.886466 | ||||||||
\(717\) | −1.17430 | −0.0438550 | ||||||||
\(718\) | 8.71152 | 0.325111 | ||||||||
\(719\) | − | 5.43495i | − | 0.202689i | −0.994851 | − | 0.101345i | \(-0.967686\pi\) | ||
0.994851 | − | 0.101345i | \(-0.0323145\pi\) | |||||||
\(720\) | 0.110370i | 0.00411324i | ||||||||
\(721\) | 18.2423 | + | 42.1205i | 0.679377 | + | 1.56865i | ||||
\(722\) | 3.79977i | 0.141413i | ||||||||
\(723\) | − | 26.6462i | − | 0.990985i | ||||||
\(724\) | − | 19.4220i | − | 0.721814i | ||||||
\(725\) | − | 6.88482i | − | 0.255696i | ||||||
\(726\) | 8.45019 | − | 4.24972i | 0.313616 | − | 0.157722i | ||||
\(727\) | − | 38.4305i | − | 1.42531i | −0.701515 | − | 0.712655i | \(-0.747493\pi\) | ||
0.701515 | − | 0.712655i | \(-0.252507\pi\) | |||||||
\(728\) | −10.2931 | − | 23.7662i | −0.381486 | − | 0.880834i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −6.31309 | −0.233658 | ||||||||
\(731\) | − | 21.4153i | − | 0.792074i | ||||||
\(732\) | − | 4.27720i | − | 0.158090i | ||||||
\(733\) | 2.10130 | 0.0776131 | 0.0388066 | − | 0.999247i | \(-0.487644\pi\) | ||||
0.0388066 | + | 0.999247i | \(0.487644\pi\) | |||||||
\(734\) | 19.1317 | 0.706164 | ||||||||
\(735\) | −4.78875 | + | 5.10567i | −0.176636 | + | 0.188325i | ||||
\(736\) | 20.7086i | 0.763330i | ||||||||
\(737\) | −34.7250 | + | 8.24015i | −1.27911 | + | 0.303530i | ||||
\(738\) | 2.51083i | 0.0924251i | ||||||||
\(739\) | − | 32.3860i | − | 1.19134i | −0.803230 | − | 0.595669i | \(-0.796887\pi\) | ||
0.803230 | − | 0.595669i | \(-0.203113\pi\) | |||||||
\(740\) | − | 12.0688i | − | 0.443659i | ||||||
\(741\) | − | 16.8962i | − | 0.620698i | ||||||
\(742\) | −6.37585 | − | 14.7215i | −0.234065 | − | 0.540444i | ||||
\(743\) | − | 18.1188i | − | 0.664715i | −0.943153 | − | 0.332358i | \(-0.892156\pi\) | ||
0.943153 | − | 0.332358i | \(-0.107844\pi\) | |||||||
\(744\) | 4.96704i | 0.182101i | ||||||||
\(745\) | 9.49040 | 0.347701 | ||||||||
\(746\) | 5.14353 | 0.188318 | ||||||||
\(747\) | 7.78700 | 0.284911 | ||||||||
\(748\) | −21.2453 | + | 5.04146i | −0.776807 | + | 0.184334i | ||||
\(749\) | −1.14655 | − | 2.64733i | −0.0418941 | − | 0.0967314i | ||||
\(750\) | 0.859876i | 0.0313982i | ||||||||
\(751\) | −6.77040 | −0.247055 | −0.123528 | − | 0.992341i | \(-0.539421\pi\) | ||||
−0.123528 | + | 0.992341i | \(0.539421\pi\) | |||||||
\(752\) | − | 0.737539i | − | 0.0268953i | ||||||
\(753\) | 4.59032 | 0.167281 | ||||||||
\(754\) | −20.6697 | −0.752746 | ||||||||
\(755\) | 6.00397 | 0.218507 | ||||||||
\(756\) | −1.32552 | − | 3.06056i | −0.0482086 | − | 0.111311i | ||||
\(757\) | −47.4205 | −1.72353 | −0.861763 | − | 0.507310i | \(-0.830640\pi\) | ||||
−0.861763 | + | 0.507310i | \(0.830640\pi\) | |||||||
\(758\) | − | 18.7303i | − | 0.680316i | ||||||
\(759\) | 2.78093 | + | 11.7192i | 0.100941 | + | 0.425380i | ||||
\(760\) | 13.5681 | 0.492167 | ||||||||
\(761\) | 13.1779 | 0.477700 | 0.238850 | − | 0.971056i | \(-0.423230\pi\) | ||||
0.238850 | + | 0.971056i | \(0.423230\pi\) | |||||||
\(762\) | − | 15.0886i | − | 0.546604i | ||||||
\(763\) | −8.59673 | − | 19.8495i | −0.311223 | − | 0.718598i | ||||
\(764\) | −20.6911 | −0.748579 | ||||||||
\(765\) | 5.22254i | 0.188821i | ||||||||
\(766\) | 1.47332 | 0.0532331 | ||||||||
\(767\) | − | 14.7475i | − | 0.532503i | ||||||
\(768\) | 15.7096i | 0.566870i | ||||||||
\(769\) | −13.7275 | −0.495026 | −0.247513 | − | 0.968885i | \(-0.579613\pi\) | ||||
−0.247513 | + | 0.968885i | \(0.579613\pi\) | |||||||
\(770\) | 6.04447 | − | 4.51633i | 0.217827 | − | 0.162757i | ||||
\(771\) | 0.226898 | 0.00817155 | ||||||||
\(772\) | 14.9128i | 0.536723i | ||||||||
\(773\) | − | 31.2038i | − | 1.12232i | −0.827707 | − | 0.561161i | \(-0.810355\pi\) | ||
0.827707 | − | 0.561161i | \(-0.189645\pi\) | |||||||
\(774\) | −3.52598 | −0.126739 | ||||||||
\(775\) | − | 1.77159i | − | 0.0636373i | ||||||
\(776\) | −35.9318 | −1.28988 | ||||||||
\(777\) | 10.0667 | + | 23.2435i | 0.361141 | + | 0.833857i | ||||
\(778\) | − | 8.32230i | − | 0.298369i | ||||||
\(779\) | −14.1308 | −0.506288 | ||||||||
\(780\) | −4.40136 | −0.157594 | ||||||||
\(781\) | 40.7373 | − | 9.66684i | 1.45769 | − | 0.345907i | ||||
\(782\) | 16.3085i | 0.583192i | ||||||||
\(783\) | −6.88482 | −0.246043 | ||||||||
\(784\) | 0.528533 | − | 0.563512i | 0.0188762 | − | 0.0201254i | ||||
\(785\) | 11.9244 | 0.425600 | ||||||||
\(786\) | −12.6301 | −0.450502 | ||||||||
\(787\) | −11.7020 | −0.417130 | −0.208565 | − | 0.978008i | \(-0.566879\pi\) | ||||
−0.208565 | + | 0.978008i | \(0.566879\pi\) | |||||||
\(788\) | − | 25.1537i | − | 0.896062i | ||||||
\(789\) | 19.6401 | 0.699206 | ||||||||
\(790\) | 5.70346i | 0.202920i | ||||||||
\(791\) | 19.1282 | − | 8.28436i | 0.680120 | − | 0.294558i | ||||
\(792\) | 2.14698 | + | 9.04765i | 0.0762897 | + | 0.321494i | ||||
\(793\) | 11.8463 | 0.420675 | ||||||||
\(794\) | 25.6603 | 0.910650 | ||||||||
\(795\) | −7.05177 | −0.250100 | ||||||||
\(796\) | − | 10.5702i | − | 0.374649i | ||||||
\(797\) | 25.7788i | 0.913133i | 0.889689 | + | 0.456566i | \(0.150921\pi\) | ||||
−0.889689 | + | 0.456566i | \(0.849079\pi\) | |||||||
\(798\) | −10.1027 | + | 4.37546i | −0.357633 | + | 0.154890i | ||||
\(799\) | − | 34.8993i | − | 1.23465i | ||||||
\(800\) | − | 5.70235i | − | 0.201609i | ||||||
\(801\) | − | 13.2622i | − | 0.468596i | ||||||
\(802\) | 16.2793i | 0.574841i | ||||||||
\(803\) | 23.6923 | − | 5.62211i | 0.836082 | − | 0.198400i | ||||
\(804\) | − | 13.5651i | − | 0.478405i | ||||||
\(805\) | 3.81857 | + | 8.81691i | 0.134587 | + | 0.310755i | ||||
\(806\) | −5.31868 | −0.187343 | ||||||||
\(807\) | −27.9427 | −0.983631 | ||||||||
\(808\) | − | 10.3027i | − | 0.362449i | ||||||
\(809\) | − | 32.3910i | − | 1.13881i | −0.822058 | − | 0.569404i | \(-0.807174\pi\) | ||
0.822058 | − | 0.569404i | \(-0.192826\pi\) | |||||||
\(810\) | 0.859876 | 0.0302130 | ||||||||
\(811\) | −12.9674 | −0.455345 | −0.227673 | − | 0.973738i | \(-0.573112\pi\) | ||||
−0.227673 | + | 0.973738i | \(0.573112\pi\) | |||||||
\(812\) | −9.12595 | − | 21.0714i | −0.320258 | − | 0.739461i | ||||
\(813\) | 26.5685i | 0.931800i | ||||||||
\(814\) | −6.30395 | − | 26.5656i | −0.220953 | − | 0.931125i | ||||
\(815\) | − | 10.3767i | − | 0.363481i | ||||||
\(816\) | − | 0.576410i | − | 0.0201784i | ||||||
\(817\) | − | 19.8439i | − | 0.694250i | ||||||
\(818\) | 19.2041i | 0.671456i | ||||||||
\(819\) | 8.47665 | − | 3.67121i | 0.296198 | − | 0.128282i | ||||
\(820\) | 3.68098i | 0.128546i | ||||||||
\(821\) | − | 13.9004i | − | 0.485126i | −0.970136 | − | 0.242563i | \(-0.922012\pi\) | ||
0.970136 | − | 0.242563i | \(-0.0779880\pi\) | |||||||
\(822\) | −5.23141 | −0.182466 | ||||||||
\(823\) | 39.8119 | 1.38775 | 0.693877 | − | 0.720094i | \(-0.255901\pi\) | ||||
0.693877 | + | 0.720094i | \(0.255901\pi\) | |||||||
\(824\) | 48.6418 | 1.69452 | ||||||||
\(825\) | −0.765761 | − | 3.22701i | −0.0266604 | − | 0.112350i | ||||
\(826\) | −8.81797 | + | 3.81904i | −0.306817 | + | 0.132881i | ||||
\(827\) | 49.2671i | 1.71318i | 0.515994 | + | 0.856592i | \(0.327423\pi\) | ||||
−0.515994 | + | 0.856592i | \(0.672577\pi\) | |||||||
\(828\) | −4.57804 | −0.159098 | ||||||||
\(829\) | − | 33.0804i | − | 1.14893i | −0.818530 | − | 0.574464i | \(-0.805210\pi\) | ||
0.818530 | − | 0.574464i | \(-0.194790\pi\) | |||||||
\(830\) | −6.69586 | −0.232417 | ||||||||
\(831\) | −2.38638 | −0.0827825 | ||||||||
\(832\) | −16.3490 | −0.566799 | ||||||||
\(833\) | 25.0094 | − | 26.6645i | 0.866525 | − | 0.923872i | ||||
\(834\) | −4.39775 | −0.152281 | ||||||||
\(835\) | − | 13.1741i | − | 0.455909i | ||||||
\(836\) | −19.6864 | + | 4.67153i | −0.680868 | + | 0.161568i | ||||
\(837\) | −1.77159 | −0.0612350 | ||||||||
\(838\) | −1.67743 | −0.0579458 | ||||||||
\(839\) | 8.90021i | 0.307270i | 0.988128 | + | 0.153635i | \(0.0490979\pi\) | ||||
−0.988128 | + | 0.153635i | \(0.950902\pi\) | |||||||
\(840\) | 2.94808 | + | 6.80697i | 0.101718 | + | 0.234863i | ||||
\(841\) | −18.4007 | −0.634509 | ||||||||
\(842\) | − | 28.7326i | − | 0.990192i | ||||||
\(843\) | −30.2645 | −1.04236 | ||||||||
\(844\) | − | 11.4991i | − | 0.395816i | ||||||
\(845\) | 0.809796i | 0.0278578i | ||||||||
\(846\) | −5.74607 | −0.197554 | ||||||||
\(847\) | −18.6622 | + | 22.3321i | −0.641239 | + | 0.767341i | ||||
\(848\) | 0.778302 | 0.0267270 | ||||||||
\(849\) | 14.1871i | 0.486899i | ||||||||
\(850\) | − | 4.49074i | − | 0.154031i | ||||||
\(851\) | 34.7681 | 1.19183 | ||||||||
\(852\) | 15.9138i | 0.545197i | ||||||||
\(853\) | −4.37084 | −0.149655 | −0.0748274 | − | 0.997196i | \(-0.523841\pi\) | ||||
−0.0748274 | + | 0.997196i | \(0.523841\pi\) | |||||||
\(854\) | −3.06773 | − | 7.08325i | −0.104976 | − | 0.242384i | ||||
\(855\) | 4.83931i | 0.165501i | ||||||||
\(856\) | −3.05721 | −0.104493 | ||||||||
\(857\) | 37.3470 | 1.27575 | 0.637874 | − | 0.770141i | \(-0.279814\pi\) | ||||
0.637874 | + | 0.770141i | \(0.279814\pi\) | |||||||
\(858\) | −9.68818 | + | 2.29898i | −0.330749 | + | 0.0784858i | ||||
\(859\) | 4.84550i | 0.165326i | 0.996578 | + | 0.0826631i | \(0.0263425\pi\) | ||||
−0.996578 | + | 0.0826631i | \(0.973657\pi\) | |||||||
\(860\) | −5.16922 | −0.176269 | ||||||||
\(861\) | −3.07034 | − | 7.08926i | −0.104637 | − | 0.241601i | ||||
\(862\) | 22.2958 | 0.759398 | ||||||||
\(863\) | −21.9148 | −0.745989 | −0.372994 | − | 0.927834i | \(-0.621669\pi\) | ||||
−0.372994 | + | 0.927834i | \(0.621669\pi\) | |||||||
\(864\) | −5.70235 | −0.193998 | ||||||||
\(865\) | − | 4.32866i | − | 0.147179i | ||||||
\(866\) | 10.1302 | 0.344239 | ||||||||
\(867\) | − | 10.2749i | − | 0.348953i | ||||||
\(868\) | −2.34827 | − | 5.42205i | −0.0797055 | − | 0.184036i | ||||
\(869\) | −5.07921 | − | 21.4044i | −0.172300 | − | 0.726095i | ||||
\(870\) | 5.92009 | 0.200710 | ||||||||
\(871\) | 37.5705 | 1.27303 | ||||||||
\(872\) | −22.9226 | −0.776259 | ||||||||
\(873\) | − | 12.8157i | − | 0.433747i | ||||||
\(874\) | 15.1118i | 0.511166i | ||||||||
\(875\) | −1.05149 | − | 2.42783i | −0.0355467 | − | 0.0820758i | ||||
\(876\) | 9.25524i | 0.312706i | ||||||||
\(877\) | 54.4055i | 1.83714i | 0.395253 | + | 0.918572i | \(0.370657\pi\) | ||||
−0.395253 | + | 0.918572i | \(0.629343\pi\) | |||||||
\(878\) | − | 0.0808713i | − | 0.00272927i | ||||||
\(879\) | 18.0515i | 0.608861i | ||||||||
\(880\) | 0.0845169 | + | 0.356165i | 0.00284906 | + | 0.0120063i | ||||
\(881\) | 47.6792i | 1.60635i | 0.595742 | + | 0.803176i | \(0.296858\pi\) | ||||
−0.595742 | + | 0.803176i | \(0.703142\pi\) | |||||||
\(882\) | −4.39024 | − | 4.11773i | −0.147827 | − | 0.138651i | ||||
\(883\) | 49.0965 | 1.65223 | 0.826114 | − | 0.563503i | \(-0.190547\pi\) | ||||
0.826114 | + | 0.563503i | \(0.190547\pi\) | |||||||
\(884\) | 22.9863 | 0.773112 | ||||||||
\(885\) | 4.22390i | 0.141985i | ||||||||
\(886\) | 19.8679i | 0.667475i | ||||||||
\(887\) | −31.7068 | −1.06461 | −0.532304 | − | 0.846553i | \(-0.678674\pi\) | ||||
−0.532304 | + | 0.846553i | \(0.678674\pi\) | |||||||
\(888\) | 26.8422 | 0.900766 | ||||||||
\(889\) | 18.4509 | + | 42.6023i | 0.618824 | + | 1.42884i | ||||
\(890\) | 11.4038i | 0.382257i | ||||||||
\(891\) | −3.22701 | + | 0.765761i | −0.108109 | + | 0.0256540i | ||||
\(892\) | 15.3878i | 0.515222i | ||||||||
\(893\) | − | 32.3384i | − | 1.08216i | ||||||
\(894\) | 8.16057i | 0.272930i | ||||||||
\(895\) | − | 18.8164i | − | 0.628963i | ||||||
\(896\) | −7.75815 | − | 17.9132i | −0.259182 | − | 0.598438i | ||||
\(897\) | − | 12.6795i | − | 0.423357i | ||||||
\(898\) | − | 25.9259i | − | 0.865159i | ||||||
\(899\) | −12.1971 | −0.406795 | ||||||||
\(900\) | 1.26061 | 0.0420204 | ||||||||
\(901\) | 36.8281 | 1.22692 | ||||||||
\(902\) | 1.92270 | + | 8.10250i | 0.0640189 | + | 0.269784i | ||||
\(903\) | 9.95548 | − | 4.31169i | 0.331298 | − | 0.143484i | ||||
\(904\) | − | 22.0897i | − | 0.734693i | ||||||
\(905\) | −15.4068 | −0.512140 | ||||||||
\(906\) | 5.16267i | 0.171518i | ||||||||
\(907\) | 3.45523 | 0.114729 | 0.0573645 | − | 0.998353i | \(-0.481730\pi\) | ||||
0.0573645 | + | 0.998353i | \(0.481730\pi\) | |||||||
\(908\) | −25.8421 | −0.857599 | ||||||||
\(909\) | 3.67466 | 0.121881 | ||||||||
\(910\) | −7.28887 | + | 3.15679i | −0.241624 | + | 0.104646i | ||||
\(911\) | 5.82319 | 0.192931 | 0.0964654 | − | 0.995336i | \(-0.469246\pi\) | ||||
0.0964654 | + | 0.995336i | \(0.469246\pi\) | |||||||
\(912\) | − | 0.534114i | − | 0.0176863i | ||||||
\(913\) | 25.1287 | − | 5.96298i | 0.831640 | − | 0.197346i | ||||
\(914\) | 22.6771 | 0.750091 | ||||||||
\(915\) | −3.39295 | −0.112167 | ||||||||
\(916\) | − | 15.3487i | − | 0.507134i | ||||||
\(917\) | 35.6607 | − | 15.4446i | 1.17762 | − | 0.510024i | ||||
\(918\) | −4.49074 | −0.148216 | ||||||||
\(919\) | 44.3255i | 1.46216i | 0.682291 | + | 0.731081i | \(0.260984\pi\) | ||||
−0.682291 | + | 0.731081i | \(0.739016\pi\) | |||||||
\(920\) | 10.1820 | 0.335690 | ||||||||
\(921\) | − | 6.64367i | − | 0.218916i | ||||||
\(922\) | 12.9763i | 0.427352i | ||||||||
\(923\) | −44.0755 | −1.45076 | ||||||||
\(924\) | −6.62112 | − | 8.86143i | −0.217819 | − | 0.291520i | ||||
\(925\) | −9.57378 | −0.314784 | ||||||||
\(926\) | − | 2.55989i | − | 0.0841232i | ||||||
\(927\) | 17.3490i | 0.569816i | ||||||||
\(928\) | −39.2597 | −1.28876 | ||||||||
\(929\) | 33.0971i | 1.08588i | 0.839771 | + | 0.542940i | \(0.182689\pi\) | ||||
−0.839771 | + | 0.542940i | \(0.817311\pi\) | |||||||
\(930\) | 1.52335 | 0.0499525 | ||||||||
\(931\) | 23.1743 | − | 24.7079i | 0.759506 | − | 0.809770i | ||||
\(932\) | 14.8576i | 0.486677i | ||||||||
\(933\) | 27.7125 | 0.907265 | ||||||||
\(934\) | −9.77730 | −0.319923 | ||||||||
\(935\) | 3.99921 | + | 16.8532i | 0.130788 | + | 0.551158i | ||||
\(936\) | − | 9.78905i | − | 0.319965i | ||||||
\(937\) | −8.45222 | −0.276122 | −0.138061 | − | 0.990424i | \(-0.544087\pi\) | ||||
−0.138061 | + | 0.990424i | \(0.544087\pi\) | |||||||
\(938\) | −9.72930 | − | 22.4645i | −0.317673 | − | 0.733492i | ||||
\(939\) | 14.0995 | 0.460120 | ||||||||
\(940\) | −8.42397 | −0.274759 | ||||||||
\(941\) | −41.7728 | −1.36175 | −0.680876 | − | 0.732398i | \(-0.738401\pi\) | ||||
−0.680876 | + | 0.732398i | \(0.738401\pi\) | |||||||
\(942\) | 10.2535i | 0.334078i | ||||||||
\(943\) | −10.6042 | −0.345322 | ||||||||
\(944\) | − | 0.466191i | − | 0.0151732i | ||||||
\(945\) | −2.42783 | + | 1.05149i | −0.0789774 | + | 0.0342049i | ||||
\(946\) | −11.3784 | + | 2.70005i | −0.369943 | + | 0.0877863i | ||||
\(947\) | −25.8994 | −0.841617 | −0.420808 | − | 0.907150i | \(-0.638253\pi\) | ||||
−0.420808 | + | 0.907150i | \(0.638253\pi\) | |||||||
\(948\) | 8.36150 | 0.271569 | ||||||||
\(949\) | −25.6337 | −0.832106 | ||||||||
\(950\) | − | 4.16121i | − | 0.135008i | ||||||
\(951\) | − | 21.3049i | − | 0.690858i | ||||||
\(952\) | −15.3964 | − | 35.5497i | −0.499002 | − | 1.15217i | ||||
\(953\) | − | 13.7313i | − | 0.444801i | −0.974955 | − | 0.222401i | \(-0.928611\pi\) | ||
0.974955 | − | 0.222401i | \(-0.0713893\pi\) | |||||||
\(954\) | − | 6.06365i | − | 0.196318i | ||||||
\(955\) | 16.4135i | 0.531130i | ||||||||
\(956\) | − | 1.48034i | − | 0.0478775i | ||||||
\(957\) | −22.2174 | + | 5.27213i | −0.718187 | + | 0.170424i | ||||
\(958\) | − | 6.17131i | − | 0.199386i | ||||||
\(959\) | 14.7707 | − | 6.39715i | 0.476971 | − | 0.206575i | ||||
\(960\) | 4.68258 | 0.151130 | ||||||||
\(961\) | 27.8615 | 0.898757 | ||||||||
\(962\) | 28.7425i | 0.926696i | ||||||||
\(963\) | − | 1.09041i | − | 0.0351379i | ||||||
\(964\) | 33.5906 | 1.08188 | ||||||||
\(965\) | 11.8298 | 0.380815 | ||||||||
\(966\) | −7.58145 | + | 3.28350i | −0.243929 | + | 0.105645i | ||||
\(967\) | − | 59.2046i | − | 1.90389i | −0.306268 | − | 0.951945i | \(-0.599080\pi\) | ||
0.306268 | − | 0.951945i | \(-0.400920\pi\) | |||||||
\(968\) | 13.8567 | + | 27.5528i | 0.445370 | + | 0.885581i | ||||
\(969\) | − | 25.2735i | − | 0.811902i | ||||||
\(970\) | 11.0200i | 0.353830i | ||||||||
\(971\) | − | 21.6584i | − | 0.695052i | −0.937670 | − | 0.347526i | \(-0.887022\pi\) | ||
0.937670 | − | 0.347526i | \(-0.112978\pi\) | |||||||
\(972\) | − | 1.26061i | − | 0.0404342i | ||||||
\(973\) | 12.4169 | − | 5.37772i | 0.398067 | − | 0.172402i | ||||
\(974\) | 12.9146i | 0.413809i | ||||||||
\(975\) | 3.49145i | 0.111816i | ||||||||
\(976\) | 0.374479 | 0.0119868 | ||||||||
\(977\) | 42.3558 | 1.35508 | 0.677541 | − | 0.735485i | \(-0.263046\pi\) | ||||
0.677541 | + | 0.735485i | \(0.263046\pi\) | |||||||
\(978\) | 8.92270 | 0.285316 | ||||||||
\(979\) | −10.1557 | − | 42.7972i | −0.324576 | − | 1.36781i | ||||
\(980\) | −6.43627 | − | 6.03676i | −0.205599 | − | 0.192837i | ||||
\(981\) | − | 8.17579i | − | 0.261033i | ||||||
\(982\) | 1.43349 | 0.0457446 | ||||||||
\(983\) | 35.6348i | 1.13657i | 0.822831 | + | 0.568287i | \(0.192394\pi\) | ||||
−0.822831 | + | 0.568287i | \(0.807606\pi\) | |||||||
\(984\) | −8.18686 | −0.260988 | ||||||||
\(985\) | −19.9535 | −0.635772 | ||||||||
\(986\) | −30.9179 | −0.984627 | ||||||||
\(987\) | 16.2238 | − | 7.02650i | 0.516411 | − | 0.223656i | ||||
\(988\) | 21.2996 | 0.677630 | ||||||||
\(989\) | − | 14.8916i | − | 0.473525i | ||||||
\(990\) | 2.77483 | − | 0.658460i | 0.0881899 | − | 0.0209272i | ||||
\(991\) | 19.3208 | 0.613746 | 0.306873 | − | 0.951751i | \(-0.400717\pi\) | ||||
0.306873 | + | 0.951751i | \(0.400717\pi\) | |||||||
\(992\) | −10.1022 | −0.320746 | ||||||||
\(993\) | − | 12.2216i | − | 0.387842i | ||||||
\(994\) | 11.4138 | + | 26.3540i | 0.362024 | + | 0.835897i | ||||
\(995\) | −8.38493 | −0.265820 | ||||||||
\(996\) | 9.81639i | 0.311044i | ||||||||
\(997\) | −39.8048 | −1.26063 | −0.630316 | − | 0.776339i | \(-0.717075\pi\) | ||||
−0.630316 | + | 0.776339i | \(0.717075\pi\) | |||||||
\(998\) | − | 15.8861i | − | 0.502865i | ||||||
\(999\) | 9.57378i | 0.302901i |
(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 | 1155.2.i.d.76.10 | yes | 32 | |
7.6 | odd | 2 | inner | 1155.2.i.d.76.24 | yes | 32 | |
11.10 | odd | 2 | inner | 1155.2.i.d.76.23 | yes | 32 | |
77.76 | even | 2 | inner | 1155.2.i.d.76.9 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.i.d.76.9 | ✓ | 32 | 77.76 | even | 2 | inner | |
1155.2.i.d.76.10 | yes | 32 | 1.1 | even | 1 | trivial | |
1155.2.i.d.76.23 | yes | 32 | 11.10 | odd | 2 | inner | |
1155.2.i.d.76.24 | yes | 32 | 7.6 | odd | 2 | inner |