Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(161,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.161");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.o (of order \(6\), degree \(2\), 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: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 491.3 | ||
Character | \(\chi\) | \(=\) | 930.491 |
Dual form | 930.2.o.e.161.13 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | −1.23550 | + | 1.21390i | −0.713315 | + | 0.700844i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.866025 | + | 0.500000i | −0.387298 | + | 0.223607i | ||||
\(6\) | 1.21390 | + | 1.23550i | 0.495571 | + | 0.504390i | ||||
\(7\) | −1.74230 | + | 3.01775i | −0.658527 | + | 1.14060i | 0.322469 | + | 0.946580i | \(0.395487\pi\) |
−0.980997 | + | 0.194023i | \(0.937846\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0.0529076 | − | 2.99953i | 0.0176359 | − | 0.999844i | ||||
\(10\) | 0.500000 | + | 0.866025i | 0.158114 | + | 0.273861i | ||||
\(11\) | −2.28452 | − | 3.95691i | −0.688810 | − | 1.19305i | −0.972223 | − | 0.234056i | \(-0.924800\pi\) |
0.283413 | − | 0.958998i | \(-0.408533\pi\) | |||||||
\(12\) | 1.23550 | − | 1.21390i | 0.356657 | − | 0.350422i | ||||
\(13\) | −6.16355 | + | 3.55853i | −1.70946 | + | 0.986958i | −0.774243 | + | 0.632888i | \(0.781869\pi\) |
−0.935219 | + | 0.354070i | \(0.884797\pi\) | |||||||
\(14\) | 3.01775 | + | 1.74230i | 0.806528 | + | 0.465649i | ||||
\(15\) | 0.463024 | − | 1.66901i | 0.119552 | − | 0.430938i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 1.01037 | − | 1.75002i | 0.245052 | − | 0.424442i | −0.717095 | − | 0.696976i | \(-0.754528\pi\) |
0.962146 | + | 0.272534i | \(0.0878618\pi\) | |||||||
\(18\) | −2.99953 | − | 0.0529076i | −0.706997 | − | 0.0124704i | ||||
\(19\) | 3.87530 | − | 6.71222i | 0.889055 | − | 1.53989i | 0.0480605 | − | 0.998844i | \(-0.484696\pi\) |
0.840994 | − | 0.541044i | \(-0.181971\pi\) | |||||||
\(20\) | 0.866025 | − | 0.500000i | 0.193649 | − | 0.111803i | ||||
\(21\) | −1.51063 | − | 5.84340i | −0.329647 | − | 1.27513i | ||||
\(22\) | −3.95691 | + | 2.28452i | −0.843617 | + | 0.487062i | ||||
\(23\) | 7.42056 | 1.54729 | 0.773647 | − | 0.633617i | \(-0.218430\pi\) | ||||
0.773647 | + | 0.633617i | \(0.218430\pi\) | |||||||
\(24\) | −1.21390 | − | 1.23550i | −0.247786 | − | 0.252195i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | 3.55853 | + | 6.16355i | 0.697885 | + | 1.20877i | ||||
\(27\) | 3.57576 | + | 3.77014i | 0.688155 | + | 0.725564i | ||||
\(28\) | 1.74230 | − | 3.01775i | 0.329264 | − | 0.570302i | ||||
\(29\) | 6.35073 | 1.17930 | 0.589650 | − | 0.807659i | \(-0.299266\pi\) | ||||
0.589650 | + | 0.807659i | \(0.299266\pi\) | |||||||
\(30\) | −1.66901 | − | 0.463024i | −0.304719 | − | 0.0845362i | ||||
\(31\) | −1.29260 | + | 5.41564i | −0.232158 | + | 0.972678i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 7.62581 | + | 2.11558i | 1.32748 | + | 0.368275i | ||||
\(34\) | −1.75002 | − | 1.01037i | −0.300126 | − | 0.173278i | ||||
\(35\) | − | 3.48460i | − | 0.589005i | ||||||
\(36\) | −0.0529076 | + | 2.99953i | −0.00881793 | + | 0.499922i | ||||
\(37\) | 7.71423 | + | 4.45381i | 1.26821 | + | 0.732202i | 0.974649 | − | 0.223738i | \(-0.0718260\pi\) |
0.293562 | + | 0.955940i | \(0.405159\pi\) | |||||||
\(38\) | −6.71222 | − | 3.87530i | −1.08887 | − | 0.628657i | ||||
\(39\) | 3.29537 | − | 11.8785i | 0.527681 | − | 1.90208i | ||||
\(40\) | −0.500000 | − | 0.866025i | −0.0790569 | − | 0.136931i | ||||
\(41\) | 2.17100 | − | 1.25343i | 0.339053 | − | 0.195752i | −0.320800 | − | 0.947147i | \(-0.603952\pi\) |
0.659853 | + | 0.751394i | \(0.270618\pi\) | |||||||
\(42\) | −5.84340 | + | 1.51063i | −0.901656 | + | 0.233096i | ||||
\(43\) | −3.21363 | − | 1.85539i | −0.490074 | − | 0.282944i | 0.234531 | − | 0.972109i | \(-0.424644\pi\) |
−0.724605 | + | 0.689164i | \(0.757978\pi\) | |||||||
\(44\) | 2.28452 | + | 3.95691i | 0.344405 | + | 0.596527i | ||||
\(45\) | 1.45395 | + | 2.62413i | 0.216742 | + | 0.391182i | ||||
\(46\) | − | 7.42056i | − | 1.09410i | ||||||
\(47\) | − | 5.93476i | − | 0.865673i | −0.901472 | − | 0.432837i | \(-0.857513\pi\) | ||
0.901472 | − | 0.432837i | \(-0.142487\pi\) | |||||||
\(48\) | −1.23550 | + | 1.21390i | −0.178329 | + | 0.175211i | ||||
\(49\) | −2.57122 | − | 4.45348i | −0.367317 | − | 0.636212i | ||||
\(50\) | −0.866025 | − | 0.500000i | −0.122474 | − | 0.0707107i | ||||
\(51\) | 0.876028 | + | 3.38863i | 0.122669 | + | 0.474504i | ||||
\(52\) | 6.16355 | − | 3.55853i | 0.854731 | − | 0.493479i | ||||
\(53\) | −5.09901 | − | 8.83174i | −0.700402 | − | 1.21313i | −0.968325 | − | 0.249692i | \(-0.919671\pi\) |
0.267923 | − | 0.963440i | \(-0.413663\pi\) | |||||||
\(54\) | 3.77014 | − | 3.57576i | 0.513051 | − | 0.486599i | ||||
\(55\) | 3.95691 | + | 2.28452i | 0.533550 | + | 0.308045i | ||||
\(56\) | −3.01775 | − | 1.74230i | −0.403264 | − | 0.232825i | ||||
\(57\) | 3.36002 | + | 12.9971i | 0.445045 | + | 1.72151i | ||||
\(58\) | − | 6.35073i | − | 0.833891i | ||||||
\(59\) | −7.20993 | − | 4.16265i | −0.938652 | − | 0.541931i | −0.0491148 | − | 0.998793i | \(-0.515640\pi\) |
−0.889538 | + | 0.456862i | \(0.848973\pi\) | |||||||
\(60\) | −0.463024 | + | 1.66901i | −0.0597761 | + | 0.215469i | ||||
\(61\) | 2.03181i | 0.260147i | 0.991504 | + | 0.130073i | \(0.0415213\pi\) | ||||
−0.991504 | + | 0.130073i | \(0.958479\pi\) | |||||||
\(62\) | 5.41564 | + | 1.29260i | 0.687787 | + | 0.164160i | ||||
\(63\) | 8.95967 | + | 5.38575i | 1.12881 | + | 0.678541i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 3.55853 | − | 6.16355i | 0.441381 | − | 0.764495i | ||||
\(66\) | 2.11558 | − | 7.62581i | 0.260410 | − | 0.938672i | ||||
\(67\) | −3.08925 | − | 5.35073i | −0.377412 | − | 0.653696i | 0.613273 | − | 0.789871i | \(-0.289853\pi\) |
−0.990685 | + | 0.136175i | \(0.956519\pi\) | |||||||
\(68\) | −1.01037 | + | 1.75002i | −0.122526 | + | 0.212221i | ||||
\(69\) | −9.16808 | + | 9.00780i | −1.10371 | + | 1.08441i | ||||
\(70\) | −3.48460 | −0.416489 | ||||||||
\(71\) | 2.26644 | − | 1.30853i | 0.268977 | − | 0.155294i | −0.359445 | − | 0.933166i | \(-0.617034\pi\) |
0.628423 | + | 0.777872i | \(0.283701\pi\) | |||||||
\(72\) | 2.99953 | + | 0.0529076i | 0.353498 | + | 0.00623522i | ||||
\(73\) | 7.81979 | − | 4.51476i | 0.915237 | − | 0.528412i | 0.0331247 | − | 0.999451i | \(-0.489454\pi\) |
0.882113 | + | 0.471039i | \(0.156121\pi\) | |||||||
\(74\) | 4.45381 | − | 7.71423i | 0.517745 | − | 0.896761i | ||||
\(75\) | 0.433517 | + | 1.67692i | 0.0500582 | + | 0.193634i | ||||
\(76\) | −3.87530 | + | 6.71222i | −0.444527 | + | 0.769944i | ||||
\(77\) | 15.9213 | 1.81440 | ||||||||
\(78\) | −11.8785 | − | 3.29537i | −1.34497 | − | 0.373127i | ||||
\(79\) | −7.33730 | − | 4.23619i | −0.825511 | − | 0.476609i | 0.0268022 | − | 0.999641i | \(-0.491468\pi\) |
−0.852313 | + | 0.523032i | \(0.824801\pi\) | |||||||
\(80\) | −0.866025 | + | 0.500000i | −0.0968246 | + | 0.0559017i | ||||
\(81\) | −8.99440 | − | 0.317396i | −0.999378 | − | 0.0352662i | ||||
\(82\) | −1.25343 | − | 2.17100i | −0.138418 | − | 0.239747i | ||||
\(83\) | −4.54612 | − | 7.87412i | −0.499002 | − | 0.864297i | 0.500997 | − | 0.865449i | \(-0.332967\pi\) |
−0.999999 | + | 0.00115204i | \(0.999633\pi\) | |||||||
\(84\) | 1.51063 | + | 5.84340i | 0.164824 | + | 0.637567i | ||||
\(85\) | 2.02075i | 0.219181i | ||||||||
\(86\) | −1.85539 | + | 3.21363i | −0.200072 | + | 0.346534i | ||||
\(87\) | −7.84631 | + | 7.70913i | −0.841212 | + | 0.826505i | ||||
\(88\) | 3.95691 | − | 2.28452i | 0.421808 | − | 0.243531i | ||||
\(89\) | 3.74116 | 0.396562 | 0.198281 | − | 0.980145i | \(-0.436464\pi\) | ||||
0.198281 | + | 0.980145i | \(0.436464\pi\) | |||||||
\(90\) | 2.62413 | − | 1.45395i | 0.276607 | − | 0.153260i | ||||
\(91\) | − | 24.8001i | − | 2.59976i | ||||||
\(92\) | −7.42056 | −0.773647 | ||||||||
\(93\) | −4.97703 | − | 8.26009i | −0.516094 | − | 0.856532i | ||||
\(94\) | −5.93476 | −0.612123 | ||||||||
\(95\) | 7.75060i | 0.795195i | ||||||||
\(96\) | 1.21390 | + | 1.23550i | 0.123893 | + | 0.126097i | ||||
\(97\) | 5.16445 | 0.524371 | 0.262185 | − | 0.965018i | \(-0.415557\pi\) | ||||
0.262185 | + | 0.965018i | \(0.415557\pi\) | |||||||
\(98\) | −4.45348 | + | 2.57122i | −0.449869 | + | 0.259732i | ||||
\(99\) | −11.9898 | + | 6.64316i | −1.20502 | + | 0.667663i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | 13.3572i | 1.32909i | 0.747249 | + | 0.664544i | \(0.231374\pi\) | ||||
−0.747249 | + | 0.664544i | \(0.768626\pi\) | |||||||
\(102\) | 3.38863 | − | 0.876028i | 0.335525 | − | 0.0867397i | ||||
\(103\) | −5.40064 | − | 9.35418i | −0.532141 | − | 0.921695i | −0.999296 | − | 0.0375194i | \(-0.988054\pi\) |
0.467155 | − | 0.884175i | \(-0.345279\pi\) | |||||||
\(104\) | −3.55853 | − | 6.16355i | −0.348942 | − | 0.604386i | ||||
\(105\) | 4.22995 | + | 4.30521i | 0.412800 | + | 0.420146i | ||||
\(106\) | −8.83174 | + | 5.09901i | −0.857814 | + | 0.495259i | ||||
\(107\) | −4.08099 | − | 2.35616i | −0.394524 | − | 0.227779i | 0.289594 | − | 0.957149i | \(-0.406480\pi\) |
−0.684119 | + | 0.729371i | \(0.739813\pi\) | |||||||
\(108\) | −3.57576 | − | 3.77014i | −0.344077 | − | 0.362782i | ||||
\(109\) | 7.92947 | 0.759506 | 0.379753 | − | 0.925088i | \(-0.376009\pi\) | ||||
0.379753 | + | 0.925088i | \(0.376009\pi\) | |||||||
\(110\) | 2.28452 | − | 3.95691i | 0.217821 | − | 0.377277i | ||||
\(111\) | −14.9374 | + | 3.86161i | −1.41779 | + | 0.366527i | ||||
\(112\) | −1.74230 | + | 3.01775i | −0.164632 | + | 0.285151i | ||||
\(113\) | 6.53805 | − | 3.77475i | 0.615048 | − | 0.355098i | −0.159890 | − | 0.987135i | \(-0.551114\pi\) |
0.774939 | + | 0.632037i | \(0.217781\pi\) | |||||||
\(114\) | 12.9971 | − | 3.36002i | 1.21729 | − | 0.314694i | ||||
\(115\) | −6.42639 | + | 3.71028i | −0.599264 | + | 0.345985i | ||||
\(116\) | −6.35073 | −0.589650 | ||||||||
\(117\) | 10.3478 | + | 18.6761i | 0.956657 | + | 1.72660i | ||||
\(118\) | −4.16265 | + | 7.20993i | −0.383203 | + | 0.663727i | ||||
\(119\) | 3.52075 | + | 6.09811i | 0.322746 | + | 0.559013i | ||||
\(120\) | 1.66901 | + | 0.463024i | 0.152359 | + | 0.0422681i | ||||
\(121\) | −4.93811 | + | 8.55305i | −0.448919 | + | 0.777550i | ||||
\(122\) | 2.03181 | 0.183951 | ||||||||
\(123\) | −1.16073 | + | 4.18398i | −0.104660 | + | 0.377256i | ||||
\(124\) | 1.29260 | − | 5.41564i | 0.116079 | − | 0.486339i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 5.38575 | − | 8.95967i | 0.479801 | − | 0.798191i | ||||
\(127\) | −2.02816 | − | 1.17096i | −0.179970 | − | 0.103906i | 0.407308 | − | 0.913291i | \(-0.366467\pi\) |
−0.587279 | + | 0.809385i | \(0.699801\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 6.22268 | − | 1.60869i | 0.547877 | − | 0.141637i | ||||
\(130\) | −6.16355 | − | 3.55853i | −0.540579 | − | 0.312104i | ||||
\(131\) | 9.65680 | + | 5.57535i | 0.843718 | + | 0.487121i | 0.858526 | − | 0.512769i | \(-0.171380\pi\) |
−0.0148082 | + | 0.999890i | \(0.504714\pi\) | |||||||
\(132\) | −7.62581 | − | 2.11558i | −0.663742 | − | 0.184137i | ||||
\(133\) | 13.5039 | + | 23.3894i | 1.17093 | + | 2.02812i | ||||
\(134\) | −5.35073 | + | 3.08925i | −0.462233 | + | 0.266870i | ||||
\(135\) | −4.98177 | − | 1.47716i | −0.428762 | − | 0.127134i | ||||
\(136\) | 1.75002 | + | 1.01037i | 0.150063 | + | 0.0866388i | ||||
\(137\) | 4.11888 | + | 7.13410i | 0.351899 | + | 0.609508i | 0.986582 | − | 0.163265i | \(-0.0522026\pi\) |
−0.634683 | + | 0.772773i | \(0.718869\pi\) | |||||||
\(138\) | 9.00780 | + | 9.16808i | 0.766795 | + | 0.780439i | ||||
\(139\) | − | 7.69544i | − | 0.652719i | −0.945246 | − | 0.326359i | \(-0.894178\pi\) | ||
0.945246 | − | 0.326359i | \(-0.105822\pi\) | |||||||
\(140\) | 3.48460i | 0.294502i | ||||||||
\(141\) | 7.20418 | + | 7.33238i | 0.606702 | + | 0.617498i | ||||
\(142\) | −1.30853 | − | 2.26644i | −0.109810 | − | 0.190196i | ||||
\(143\) | 28.1616 | + | 16.2591i | 2.35499 | + | 1.35965i | ||||
\(144\) | 0.0529076 | − | 2.99953i | 0.00440896 | − | 0.249961i | ||||
\(145\) | −5.49989 | + | 3.17536i | −0.456741 | + | 0.263700i | ||||
\(146\) | −4.51476 | − | 7.81979i | −0.373644 | − | 0.647170i | ||||
\(147\) | 8.58280 | + | 2.38107i | 0.707898 | + | 0.196387i | ||||
\(148\) | −7.71423 | − | 4.45381i | −0.634106 | − | 0.366101i | ||||
\(149\) | −10.0333 | − | 5.79275i | −0.821963 | − | 0.474560i | 0.0291300 | − | 0.999576i | \(-0.490726\pi\) |
−0.851093 | + | 0.525015i | \(0.824060\pi\) | |||||||
\(150\) | 1.67692 | − | 0.433517i | 0.136920 | − | 0.0353965i | ||||
\(151\) | − | 3.25609i | − | 0.264977i | −0.991185 | − | 0.132489i | \(-0.957703\pi\) | ||
0.991185 | − | 0.132489i | \(-0.0422968\pi\) | |||||||
\(152\) | 6.71222 | + | 3.87530i | 0.544433 | + | 0.314328i | ||||
\(153\) | −5.19578 | − | 3.12324i | −0.420054 | − | 0.252499i | ||||
\(154\) | − | 15.9213i | − | 1.28298i | ||||||
\(155\) | −1.58840 | − | 5.33638i | −0.127583 | − | 0.428629i | ||||
\(156\) | −3.29537 | + | 11.8785i | −0.263840 | + | 0.951039i | ||||
\(157\) | −8.65383 | −0.690651 | −0.345326 | − | 0.938483i | \(-0.612231\pi\) | ||||
−0.345326 | + | 0.938483i | \(0.612231\pi\) | |||||||
\(158\) | −4.23619 | + | 7.33730i | −0.337013 | + | 0.583724i | ||||
\(159\) | 17.0206 | + | 4.72192i | 1.34982 | + | 0.374473i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | −12.9288 | + | 22.3934i | −1.01894 | + | 1.76485i | ||||
\(162\) | −0.317396 | + | 8.99440i | −0.0249370 | + | 0.706667i | ||||
\(163\) | −10.5145 | −0.823559 | −0.411779 | − | 0.911284i | \(-0.635093\pi\) | ||||
−0.411779 | + | 0.911284i | \(0.635093\pi\) | |||||||
\(164\) | −2.17100 | + | 1.25343i | −0.169527 | + | 0.0978762i | ||||
\(165\) | −7.66193 | + | 1.98076i | −0.596481 | + | 0.154202i | ||||
\(166\) | −7.87412 | + | 4.54612i | −0.611150 | + | 0.352848i | ||||
\(167\) | −3.17082 | + | 5.49202i | −0.245365 | + | 0.424985i | −0.962234 | − | 0.272223i | \(-0.912241\pi\) |
0.716869 | + | 0.697208i | \(0.245575\pi\) | |||||||
\(168\) | 5.84340 | − | 1.51063i | 0.450828 | − | 0.116548i | ||||
\(169\) | 18.8263 | − | 32.6080i | 1.44817 | − | 2.50831i | ||||
\(170\) | 2.02075 | 0.154984 | ||||||||
\(171\) | −19.9285 | − | 11.9792i | −1.52397 | − | 0.916074i | ||||
\(172\) | 3.21363 | + | 1.85539i | 0.245037 | + | 0.141472i | ||||
\(173\) | −5.87328 | + | 3.39094i | −0.446537 | + | 0.257808i | −0.706367 | − | 0.707846i | \(-0.749667\pi\) |
0.259829 | + | 0.965655i | \(0.416334\pi\) | |||||||
\(174\) | 7.70913 | + | 7.84631i | 0.584427 | + | 0.594827i | ||||
\(175\) | 1.74230 | + | 3.01775i | 0.131705 | + | 0.228121i | ||||
\(176\) | −2.28452 | − | 3.95691i | −0.172203 | − | 0.298264i | ||||
\(177\) | 13.9609 | − | 3.60916i | 1.04936 | − | 0.271281i | ||||
\(178\) | − | 3.74116i | − | 0.280412i | ||||||
\(179\) | 9.95391 | − | 17.2407i | 0.743990 | − | 1.28863i | −0.206675 | − | 0.978410i | \(-0.566264\pi\) |
0.950665 | − | 0.310219i | \(-0.100402\pi\) | |||||||
\(180\) | −1.45395 | − | 2.62413i | −0.108371 | − | 0.195591i | ||||
\(181\) | 0.510977 | − | 0.295013i | 0.0379806 | − | 0.0219281i | −0.480889 | − | 0.876781i | \(-0.659686\pi\) |
0.518870 | + | 0.854853i | \(0.326353\pi\) | |||||||
\(182\) | −24.8001 | −1.83831 | ||||||||
\(183\) | −2.46641 | − | 2.51030i | −0.182322 | − | 0.185566i | ||||
\(184\) | 7.42056i | 0.547051i | ||||||||
\(185\) | −8.90762 | −0.654901 | ||||||||
\(186\) | −8.26009 | + | 4.97703i | −0.605659 | + | 0.364934i | ||||
\(187\) | −9.23289 | −0.675176 | ||||||||
\(188\) | 5.93476i | 0.432837i | ||||||||
\(189\) | −17.6074 | + | 4.22204i | −1.28075 | + | 0.307108i | ||||
\(190\) | 7.75060 | 0.562288 | ||||||||
\(191\) | 0.0332892 | − | 0.0192195i | 0.00240872 | − | 0.00139068i | −0.498795 | − | 0.866720i | \(-0.666224\pi\) |
0.501204 | + | 0.865329i | \(0.332891\pi\) | |||||||
\(192\) | 1.23550 | − | 1.21390i | 0.0891643 | − | 0.0876055i | ||||
\(193\) | 0.826680 | − | 1.43185i | 0.0595057 | − | 0.103067i | −0.834738 | − | 0.550647i | \(-0.814381\pi\) |
0.894244 | + | 0.447581i | \(0.147714\pi\) | |||||||
\(194\) | − | 5.16445i | − | 0.370786i | ||||||
\(195\) | 3.08537 | + | 11.9347i | 0.220948 | + | 0.854665i | ||||
\(196\) | 2.57122 | + | 4.45348i | 0.183658 | + | 0.318106i | ||||
\(197\) | −5.61969 | − | 9.73359i | −0.400386 | − | 0.693490i | 0.593386 | − | 0.804918i | \(-0.297791\pi\) |
−0.993772 | + | 0.111428i | \(0.964457\pi\) | |||||||
\(198\) | 6.64316 | + | 11.9898i | 0.472109 | + | 0.852075i | ||||
\(199\) | −11.3096 | + | 6.52959i | −0.801715 | + | 0.462870i | −0.844070 | − | 0.536232i | \(-0.819847\pi\) |
0.0423557 | + | 0.999103i | \(0.486514\pi\) | |||||||
\(200\) | 0.866025 | + | 0.500000i | 0.0612372 | + | 0.0353553i | ||||
\(201\) | 10.3120 | + | 2.86079i | 0.727352 | + | 0.201785i | ||||
\(202\) | 13.3572 | 0.939807 | ||||||||
\(203\) | −11.0649 | + | 19.1649i | −0.776602 | + | 1.34511i | ||||
\(204\) | −0.876028 | − | 3.38863i | −0.0613343 | − | 0.237252i | ||||
\(205\) | −1.25343 | + | 2.17100i | −0.0875432 | + | 0.151629i | ||||
\(206\) | −9.35418 | + | 5.40064i | −0.651737 | + | 0.376280i | ||||
\(207\) | 0.392604 | − | 22.2582i | 0.0272879 | − | 1.54705i | ||||
\(208\) | −6.16355 | + | 3.55853i | −0.427366 | + | 0.246740i | ||||
\(209\) | −35.4129 | −2.44956 | ||||||||
\(210\) | 4.30521 | − | 4.22995i | 0.297088 | − | 0.291894i | ||||
\(211\) | 10.2150 | − | 17.6930i | 0.703233 | − | 1.21803i | −0.264093 | − | 0.964497i | \(-0.585073\pi\) |
0.967326 | − | 0.253537i | \(-0.0815941\pi\) | |||||||
\(212\) | 5.09901 | + | 8.83174i | 0.350201 | + | 0.606566i | ||||
\(213\) | −1.21176 | + | 4.36792i | −0.0830286 | + | 0.299285i | ||||
\(214\) | −2.35616 | + | 4.08099i | −0.161064 | + | 0.278971i | ||||
\(215\) | 3.71078 | 0.253073 | ||||||||
\(216\) | −3.77014 | + | 3.57576i | −0.256526 | + | 0.243300i | ||||
\(217\) | −14.0910 | − | 13.3364i | −0.956558 | − | 0.905335i | ||||
\(218\) | − | 7.92947i | − | 0.537052i | ||||||
\(219\) | −4.18088 | + | 15.0704i | −0.282518 | + | 1.01836i | ||||
\(220\) | −3.95691 | − | 2.28452i | −0.266775 | − | 0.154023i | ||||
\(221\) | 14.3818i | 0.967423i | ||||||||
\(222\) | 3.86161 | + | 14.9374i | 0.259174 | + | 1.00253i | ||||
\(223\) | 4.09323 | + | 2.36323i | 0.274103 | + | 0.158253i | 0.630751 | − | 0.775986i | \(-0.282747\pi\) |
−0.356648 | + | 0.934239i | \(0.616080\pi\) | |||||||
\(224\) | 3.01775 | + | 1.74230i | 0.201632 | + | 0.116412i | ||||
\(225\) | −2.57122 | − | 1.54559i | −0.171415 | − | 0.103039i | ||||
\(226\) | −3.77475 | − | 6.53805i | −0.251092 | − | 0.434905i | ||||
\(227\) | −1.98836 | + | 1.14798i | −0.131972 | + | 0.0761942i | −0.564533 | − | 0.825411i | \(-0.690944\pi\) |
0.432560 | + | 0.901605i | \(0.357610\pi\) | |||||||
\(228\) | −3.36002 | − | 12.9971i | −0.222523 | − | 0.860757i | ||||
\(229\) | 18.1482 | + | 10.4779i | 1.19927 | + | 0.692396i | 0.960391 | − | 0.278654i | \(-0.0898884\pi\) |
0.238874 | + | 0.971051i | \(0.423222\pi\) | |||||||
\(230\) | 3.71028 | + | 6.42639i | 0.244649 | + | 0.423744i | ||||
\(231\) | −19.6707 | + | 19.3268i | −1.29424 | + | 1.27161i | ||||
\(232\) | 6.35073i | 0.416946i | ||||||||
\(233\) | − | 20.5404i | − | 1.34564i | −0.739805 | − | 0.672822i | \(-0.765082\pi\) | ||
0.739805 | − | 0.672822i | \(-0.234918\pi\) | |||||||
\(234\) | 18.6761 | − | 10.3478i | 1.22089 | − | 0.676459i | ||||
\(235\) | 2.96738 | + | 5.13965i | 0.193570 | + | 0.335274i | ||||
\(236\) | 7.20993 | + | 4.16265i | 0.469326 | + | 0.270966i | ||||
\(237\) | 14.2075 | − | 3.67292i | 0.922878 | − | 0.238582i | ||||
\(238\) | 6.09811 | − | 3.52075i | 0.395282 | − | 0.228216i | ||||
\(239\) | 3.71386 | + | 6.43260i | 0.240230 | + | 0.416090i | 0.960780 | − | 0.277313i | \(-0.0894438\pi\) |
−0.720550 | + | 0.693403i | \(0.756111\pi\) | |||||||
\(240\) | 0.463024 | − | 1.66901i | 0.0298880 | − | 0.107734i | ||||
\(241\) | 19.2359 | + | 11.1059i | 1.23909 | + | 0.715391i | 0.968909 | − | 0.247417i | \(-0.0795819\pi\) |
0.270185 | + | 0.962808i | \(0.412915\pi\) | |||||||
\(242\) | 8.55305 | + | 4.93811i | 0.549811 | + | 0.317434i | ||||
\(243\) | 11.4978 | − | 10.5261i | 0.737587 | − | 0.675252i | ||||
\(244\) | − | 2.03181i | − | 0.130073i | ||||||
\(245\) | 4.45348 | + | 2.57122i | 0.284522 | + | 0.164269i | ||||
\(246\) | 4.18398 | + | 1.16073i | 0.266761 | + | 0.0740056i | ||||
\(247\) | 55.1615i | 3.50984i | ||||||||
\(248\) | −5.41564 | − | 1.29260i | −0.343894 | − | 0.0820801i | ||||
\(249\) | 15.1751 | + | 4.20993i | 0.961683 | + | 0.266793i | ||||
\(250\) | 1.00000 | 0.0632456 | ||||||||
\(251\) | 13.1015 | − | 22.6925i | 0.826961 | − | 1.43234i | −0.0734504 | − | 0.997299i | \(-0.523401\pi\) |
0.900411 | − | 0.435040i | \(-0.143266\pi\) | |||||||
\(252\) | −8.95967 | − | 5.38575i | −0.564406 | − | 0.339270i | ||||
\(253\) | −16.9525 | − | 29.3625i | −1.06579 | − | 1.84601i | ||||
\(254\) | −1.17096 | + | 2.02816i | −0.0734726 | + | 0.127258i | ||||
\(255\) | −2.45298 | − | 2.49663i | −0.153612 | − | 0.156345i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −1.90822 | + | 1.10171i | −0.119032 | + | 0.0687229i | −0.558334 | − | 0.829616i | \(-0.688559\pi\) |
0.439302 | + | 0.898339i | \(0.355226\pi\) | |||||||
\(258\) | −1.60869 | − | 6.22268i | −0.100152 | − | 0.387407i | ||||
\(259\) | −26.8810 | + | 15.5197i | −1.67030 | + | 0.964350i | ||||
\(260\) | −3.55853 | + | 6.16355i | −0.220691 | + | 0.382247i | ||||
\(261\) | 0.336002 | − | 19.0492i | 0.0207980 | − | 1.17912i | ||||
\(262\) | 5.57535 | − | 9.65680i | 0.344447 | − | 0.596599i | ||||
\(263\) | 26.8127 | 1.65334 | 0.826671 | − | 0.562685i | \(-0.190232\pi\) | ||||
0.826671 | + | 0.562685i | \(0.190232\pi\) | |||||||
\(264\) | −2.11558 | + | 7.62581i | −0.130205 | + | 0.469336i | ||||
\(265\) | 8.83174 | + | 5.09901i | 0.542529 | + | 0.313229i | ||||
\(266\) | 23.3894 | − | 13.5039i | 1.43410 | − | 0.827976i | ||||
\(267\) | −4.62219 | + | 4.54138i | −0.282873 | + | 0.277928i | ||||
\(268\) | 3.08925 | + | 5.35073i | 0.188706 | + | 0.326848i | ||||
\(269\) | −8.44253 | − | 14.6229i | −0.514750 | − | 0.891574i | −0.999853 | − | 0.0171168i | \(-0.994551\pi\) |
0.485103 | − | 0.874457i | \(-0.338782\pi\) | |||||||
\(270\) | −1.47716 | + | 4.98177i | −0.0898970 | + | 0.303181i | ||||
\(271\) | − | 1.70861i | − | 0.103791i | −0.998653 | − | 0.0518953i | \(-0.983474\pi\) | ||
0.998653 | − | 0.0518953i | \(-0.0165262\pi\) | |||||||
\(272\) | 1.01037 | − | 1.75002i | 0.0612629 | − | 0.106110i | ||||
\(273\) | 30.1048 | + | 30.6405i | 1.82202 | + | 1.85444i | ||||
\(274\) | 7.13410 | − | 4.11888i | 0.430987 | − | 0.248830i | ||||
\(275\) | −4.56905 | −0.275524 | ||||||||
\(276\) | 9.16808 | − | 9.00780i | 0.551854 | − | 0.542206i | ||||
\(277\) | − | 10.7229i | − | 0.644276i | −0.946693 | − | 0.322138i | \(-0.895599\pi\) | ||
0.946693 | − | 0.322138i | \(-0.104401\pi\) | |||||||
\(278\) | −7.69544 | −0.461542 | ||||||||
\(279\) | 16.1760 | + | 4.16372i | 0.968433 | + | 0.249275i | ||||
\(280\) | 3.48460 | 0.208245 | ||||||||
\(281\) | − | 5.39706i | − | 0.321961i | −0.986958 | − | 0.160981i | \(-0.948534\pi\) | ||
0.986958 | − | 0.160981i | \(-0.0514657\pi\) | |||||||
\(282\) | 7.33238 | − | 7.20418i | 0.436637 | − | 0.429003i | ||||
\(283\) | 1.57973 | 0.0939053 | 0.0469527 | − | 0.998897i | \(-0.485049\pi\) | ||||
0.0469527 | + | 0.998897i | \(0.485049\pi\) | |||||||
\(284\) | −2.26644 | + | 1.30853i | −0.134489 | + | 0.0776471i | ||||
\(285\) | −9.40843 | − | 9.57585i | −0.557307 | − | 0.567224i | ||||
\(286\) | 16.2591 | − | 28.1616i | 0.961421 | − | 1.66523i | ||||
\(287\) | 8.73539i | 0.515633i | ||||||||
\(288\) | −2.99953 | − | 0.0529076i | −0.176749 | − | 0.00311761i | ||||
\(289\) | 6.45829 | + | 11.1861i | 0.379899 | + | 0.658005i | ||||
\(290\) | 3.17536 | + | 5.49989i | 0.186464 | + | 0.322965i | ||||
\(291\) | −6.38067 | + | 6.26911i | −0.374041 | + | 0.367502i | ||||
\(292\) | −7.81979 | + | 4.51476i | −0.457619 | + | 0.264206i | ||||
\(293\) | −1.57186 | − | 0.907515i | −0.0918292 | − | 0.0530176i | 0.453382 | − | 0.891316i | \(-0.350217\pi\) |
−0.545211 | + | 0.838299i | \(0.683551\pi\) | |||||||
\(294\) | 2.38107 | − | 8.58280i | 0.138867 | − | 0.500559i | ||||
\(295\) | 8.32531 | 0.484718 | ||||||||
\(296\) | −4.45381 | + | 7.71423i | −0.258872 | + | 0.448380i | ||||
\(297\) | 6.74921 | − | 22.7619i | 0.391629 | − | 1.32078i | ||||
\(298\) | −5.79275 | + | 10.0333i | −0.335565 | + | 0.581216i | ||||
\(299\) | −45.7370 | + | 26.4063i | −2.64504 | + | 1.52711i | ||||
\(300\) | −0.433517 | − | 1.67692i | −0.0250291 | − | 0.0968171i | ||||
\(301\) | 11.1982 | − | 6.46529i | 0.645454 | − | 0.372653i | ||||
\(302\) | −3.25609 | −0.187367 | ||||||||
\(303\) | −16.2142 | − | 16.5028i | −0.931483 | − | 0.948058i | ||||
\(304\) | 3.87530 | − | 6.71222i | 0.222264 | − | 0.384972i | ||||
\(305\) | −1.01591 | − | 1.75960i | −0.0581706 | − | 0.100754i | ||||
\(306\) | −3.12324 | + | 5.19578i | −0.178544 | + | 0.297023i | ||||
\(307\) | −11.1220 | + | 19.2638i | −0.634764 | + | 1.09944i | 0.351802 | + | 0.936075i | \(0.385569\pi\) |
−0.986565 | + | 0.163368i | \(0.947764\pi\) | |||||||
\(308\) | −15.9213 | −0.907201 | ||||||||
\(309\) | 18.0275 | + | 5.00125i | 1.02555 | + | 0.284511i | ||||
\(310\) | −5.33638 | + | 1.58840i | −0.303086 | + | 0.0902150i | ||||
\(311\) | − | 7.90128i | − | 0.448040i | −0.974584 | − | 0.224020i | \(-0.928082\pi\) | ||
0.974584 | − | 0.224020i | \(-0.0719182\pi\) | |||||||
\(312\) | 11.8785 | + | 3.29537i | 0.672486 | + | 0.186563i | ||||
\(313\) | 26.2824 | + | 15.1742i | 1.48557 | + | 0.857694i | 0.999865 | − | 0.0164291i | \(-0.00522980\pi\) |
0.485704 | + | 0.874123i | \(0.338563\pi\) | |||||||
\(314\) | 8.65383i | 0.488364i | ||||||||
\(315\) | −10.4522 | − | 0.184362i | −0.588913 | − | 0.0103876i | ||||
\(316\) | 7.33730 | + | 4.23619i | 0.412756 | + | 0.238305i | ||||
\(317\) | 2.03734 | + | 1.17626i | 0.114428 | + | 0.0660651i | 0.556122 | − | 0.831101i | \(-0.312289\pi\) |
−0.441694 | + | 0.897166i | \(0.645622\pi\) | |||||||
\(318\) | 4.72192 | − | 17.0206i | 0.264792 | − | 0.954470i | ||||
\(319\) | −14.5084 | − | 25.1293i | −0.812314 | − | 1.40697i | ||||
\(320\) | 0.866025 | − | 0.500000i | 0.0484123 | − | 0.0279508i | ||||
\(321\) | 7.90219 | − | 2.04287i | 0.441057 | − | 0.114022i | ||||
\(322\) | 22.3934 | + | 12.9288i | 1.24794 | + | 0.720496i | ||||
\(323\) | −7.83100 | − | 13.5637i | −0.435729 | − | 0.754704i | ||||
\(324\) | 8.99440 | + | 0.317396i | 0.499689 | + | 0.0176331i | ||||
\(325\) | 7.11706i | 0.394783i | ||||||||
\(326\) | 10.5145i | 0.582344i | ||||||||
\(327\) | −9.79684 | + | 9.62557i | −0.541767 | + | 0.532295i | ||||
\(328\) | 1.25343 | + | 2.17100i | 0.0692089 | + | 0.119873i | ||||
\(329\) | 17.9096 | + | 10.3401i | 0.987390 | + | 0.570070i | ||||
\(330\) | 1.98076 | + | 7.66193i | 0.109037 | + | 0.421776i | ||||
\(331\) | 28.9498 | − | 16.7142i | 1.59122 | − | 0.918693i | 0.598125 | − | 0.801403i | \(-0.295913\pi\) |
0.993098 | − | 0.117290i | \(-0.0374207\pi\) | |||||||
\(332\) | 4.54612 | + | 7.87412i | 0.249501 | + | 0.432148i | ||||
\(333\) | 13.7675 | − | 22.9034i | 0.754454 | − | 1.25510i | ||||
\(334\) | 5.49202 | + | 3.17082i | 0.300510 | + | 0.173499i | ||||
\(335\) | 5.35073 | + | 3.08925i | 0.292342 | + | 0.168784i | ||||
\(336\) | −1.51063 | − | 5.84340i | −0.0824118 | − | 0.318783i | ||||
\(337\) | 20.3539i | 1.10875i | 0.832267 | + | 0.554375i | \(0.187043\pi\) | ||||
−0.832267 | + | 0.554375i | \(0.812957\pi\) | |||||||
\(338\) | −32.6080 | − | 18.8263i | −1.77364 | − | 1.02401i | ||||
\(339\) | −3.49559 | + | 12.6002i | −0.189855 | + | 0.684350i | ||||
\(340\) | − | 2.02075i | − | 0.109590i | ||||||
\(341\) | 24.3822 | − | 7.25747i | 1.32037 | − | 0.393014i | ||||
\(342\) | −11.9792 | + | 19.9285i | −0.647762 | + | 1.07761i | ||||
\(343\) | −6.47286 | −0.349502 | ||||||||
\(344\) | 1.85539 | − | 3.21363i | 0.100036 | − | 0.173267i | ||||
\(345\) | 3.43589 | − | 12.3850i | 0.184982 | − | 0.666787i | ||||
\(346\) | 3.39094 | + | 5.87328i | 0.182298 | + | 0.315750i | ||||
\(347\) | 3.41153 | − | 5.90895i | 0.183141 | − | 0.317209i | −0.759808 | − | 0.650148i | \(-0.774707\pi\) |
0.942948 | + | 0.332939i | \(0.108040\pi\) | |||||||
\(348\) | 7.84631 | − | 7.70913i | 0.420606 | − | 0.413253i | ||||
\(349\) | −22.1151 | −1.18380 | −0.591898 | − | 0.806013i | \(-0.701621\pi\) | ||||
−0.591898 | + | 0.806013i | \(0.701621\pi\) | |||||||
\(350\) | 3.01775 | − | 1.74230i | 0.161306 | − | 0.0931299i | ||||
\(351\) | −35.4555 | − | 10.5130i | −1.89248 | − | 0.561144i | ||||
\(352\) | −3.95691 | + | 2.28452i | −0.210904 | + | 0.121766i | ||||
\(353\) | −7.74400 | + | 13.4130i | −0.412171 | + | 0.713902i | −0.995127 | − | 0.0986022i | \(-0.968563\pi\) |
0.582955 | + | 0.812504i | \(0.301896\pi\) | |||||||
\(354\) | −3.60916 | − | 13.9609i | −0.191825 | − | 0.742012i | ||||
\(355\) | −1.30853 | + | 2.26644i | −0.0694497 | + | 0.120290i | ||||
\(356\) | −3.74116 | −0.198281 | ||||||||
\(357\) | −11.7524 | − | 3.26038i | −0.622001 | − | 0.172558i | ||||
\(358\) | −17.2407 | − | 9.95391i | −0.911198 | − | 0.526081i | ||||
\(359\) | −6.07127 | + | 3.50525i | −0.320429 | + | 0.185000i | −0.651584 | − | 0.758577i | \(-0.725895\pi\) |
0.331155 | + | 0.943577i | \(0.392562\pi\) | |||||||
\(360\) | −2.62413 | + | 1.45395i | −0.138304 | + | 0.0766298i | ||||
\(361\) | −20.5359 | − | 35.5692i | −1.08084 | − | 1.87207i | ||||
\(362\) | −0.295013 | − | 0.510977i | −0.0155055 | − | 0.0268563i | ||||
\(363\) | −4.28151 | − | 16.5616i | −0.224721 | − | 0.869260i | ||||
\(364\) | 24.8001i | 1.29988i | ||||||||
\(365\) | −4.51476 | + | 7.81979i | −0.236313 | + | 0.409307i | ||||
\(366\) | −2.51030 | + | 2.46641i | −0.131215 | + | 0.128921i | ||||
\(367\) | −0.917271 | + | 0.529587i | −0.0478812 | + | 0.0276442i | −0.523749 | − | 0.851872i | \(-0.675467\pi\) |
0.475868 | + | 0.879517i | \(0.342134\pi\) | |||||||
\(368\) | 7.42056 | 0.386824 | ||||||||
\(369\) | −3.64483 | − | 6.57830i | −0.189743 | − | 0.342453i | ||||
\(370\) | 8.90762i | 0.463085i | ||||||||
\(371\) | 35.5360 | 1.84494 | ||||||||
\(372\) | 4.97703 | + | 8.26009i | 0.258047 | + | 0.428266i | ||||
\(373\) | −9.78720 | −0.506762 | −0.253381 | − | 0.967367i | \(-0.581543\pi\) | ||||
−0.253381 | + | 0.967367i | \(0.581543\pi\) | |||||||
\(374\) | 9.23289i | 0.477422i | ||||||||
\(375\) | −1.21390 | − | 1.23550i | −0.0626854 | − | 0.0638008i | ||||
\(376\) | 5.93476 | 0.306062 | ||||||||
\(377\) | −39.1430 | + | 22.5992i | −2.01597 | + | 1.16392i | ||||
\(378\) | 4.22204 | + | 17.6074i | 0.217158 | + | 0.905626i | ||||
\(379\) | 3.22853 | − | 5.59198i | 0.165838 | − | 0.287241i | −0.771114 | − | 0.636697i | \(-0.780300\pi\) |
0.936953 | + | 0.349456i | \(0.113634\pi\) | |||||||
\(380\) | − | 7.75060i | − | 0.397597i | ||||||
\(381\) | 3.92721 | − | 1.01526i | 0.201197 | − | 0.0520135i | ||||
\(382\) | −0.0192195 | − | 0.0332892i | −0.000983358 | − | 0.00170323i | ||||
\(383\) | 6.78475 | + | 11.7515i | 0.346684 | + | 0.600475i | 0.985658 | − | 0.168753i | \(-0.0539742\pi\) |
−0.638974 | + | 0.769228i | \(0.720641\pi\) | |||||||
\(384\) | −1.21390 | − | 1.23550i | −0.0619464 | − | 0.0630487i | ||||
\(385\) | −13.7883 | + | 7.96066i | −0.702715 | + | 0.405713i | ||||
\(386\) | −1.43185 | − | 0.826680i | −0.0728793 | − | 0.0420769i | ||||
\(387\) | −5.73533 | + | 9.54122i | −0.291543 | + | 0.485008i | ||||
\(388\) | −5.16445 | −0.262185 | ||||||||
\(389\) | 8.50667 | − | 14.7340i | 0.431306 | − | 0.747043i | −0.565681 | − | 0.824624i | \(-0.691386\pi\) |
0.996986 | + | 0.0775814i | \(0.0247198\pi\) | |||||||
\(390\) | 11.9347 | − | 3.08537i | 0.604339 | − | 0.156234i | ||||
\(391\) | 7.49754 | − | 12.9861i | 0.379167 | − | 0.656736i | ||||
\(392\) | 4.45348 | − | 2.57122i | 0.224935 | − | 0.129866i | ||||
\(393\) | −18.6989 | + | 4.83402i | −0.943232 | + | 0.243844i | ||||
\(394\) | −9.73359 | + | 5.61969i | −0.490371 | + | 0.283116i | ||||
\(395\) | 8.47239 | 0.426292 | ||||||||
\(396\) | 11.9898 | − | 6.64316i | 0.602508 | − | 0.333831i | ||||
\(397\) | 1.89196 | − | 3.27696i | 0.0949546 | − | 0.164466i | −0.814635 | − | 0.579974i | \(-0.803063\pi\) |
0.909590 | + | 0.415508i | \(0.136396\pi\) | |||||||
\(398\) | 6.52959 | + | 11.3096i | 0.327299 | + | 0.566898i | ||||
\(399\) | −45.0763 | − | 12.5052i | −2.25664 | − | 0.626044i | ||||
\(400\) | 0.500000 | − | 0.866025i | 0.0250000 | − | 0.0433013i | ||||
\(401\) | −6.86891 | −0.343017 | −0.171509 | − | 0.985183i | \(-0.554864\pi\) | ||||
−0.171509 | + | 0.985183i | \(0.554864\pi\) | |||||||
\(402\) | 2.86079 | − | 10.3120i | 0.142683 | − | 0.514316i | ||||
\(403\) | −11.3047 | − | 37.9794i | −0.563128 | − | 1.89189i | ||||
\(404\) | − | 13.3572i | − | 0.664544i | ||||||
\(405\) | 7.94808 | − | 4.22233i | 0.394943 | − | 0.209809i | ||||
\(406\) | 19.1649 | + | 11.0649i | 0.951139 | + | 0.549140i | ||||
\(407\) | − | 40.6994i | − | 2.01739i | ||||||
\(408\) | −3.38863 | + | 0.876028i | −0.167762 | + | 0.0433699i | ||||
\(409\) | 5.16441 | + | 2.98167i | 0.255364 | + | 0.147434i | 0.622218 | − | 0.782844i | \(-0.286232\pi\) |
−0.366854 | + | 0.930278i | \(0.619565\pi\) | |||||||
\(410\) | 2.17100 | + | 1.25343i | 0.107218 | + | 0.0619024i | ||||
\(411\) | −13.7489 | − | 3.81427i | −0.678185 | − | 0.188144i | ||||
\(412\) | 5.40064 | + | 9.35418i | 0.266070 | + | 0.460847i | ||||
\(413\) | 25.1237 | − | 14.5052i | 1.23626 | − | 0.713753i | ||||
\(414\) | −22.2582 | − | 0.392604i | −1.09393 | − | 0.0192954i | ||||
\(415\) | 7.87412 | + | 4.54612i | 0.386525 | + | 0.223160i | ||||
\(416\) | 3.55853 | + | 6.16355i | 0.174471 | + | 0.302193i | ||||
\(417\) | 9.34148 | + | 9.50770i | 0.457454 | + | 0.465594i | ||||
\(418\) | 35.4129i | 1.73210i | ||||||||
\(419\) | 1.08088i | 0.0528046i | 0.999651 | + | 0.0264023i | \(0.00840510\pi\) | ||||
−0.999651 | + | 0.0264023i | \(0.991595\pi\) | |||||||
\(420\) | −4.22995 | − | 4.30521i | −0.206400 | − | 0.210073i | ||||
\(421\) | 6.53199 | + | 11.3137i | 0.318350 | + | 0.551398i | 0.980144 | − | 0.198288i | \(-0.0635380\pi\) |
−0.661794 | + | 0.749686i | \(0.730205\pi\) | |||||||
\(422\) | −17.6930 | − | 10.2150i | −0.861281 | − | 0.497261i | ||||
\(423\) | −17.8015 | − | 0.313994i | −0.865539 | − | 0.0152669i | ||||
\(424\) | 8.83174 | − | 5.09901i | 0.428907 | − | 0.247630i | ||||
\(425\) | −1.01037 | − | 1.75002i | −0.0490103 | − | 0.0848884i | ||||
\(426\) | 4.36792 | + | 1.21176i | 0.211626 | + | 0.0587101i | ||||
\(427\) | −6.13150 | − | 3.54002i | −0.296724 | − | 0.171314i | ||||
\(428\) | 4.08099 | + | 2.35616i | 0.197262 | + | 0.113889i | ||||
\(429\) | −54.5304 | + | 14.0972i | −2.63275 | + | 0.680619i | ||||
\(430\) | − | 3.71078i | − | 0.178950i | ||||||
\(431\) | 6.28123 | + | 3.62647i | 0.302556 | + | 0.174681i | 0.643591 | − | 0.765370i | \(-0.277444\pi\) |
−0.341035 | + | 0.940051i | \(0.610777\pi\) | |||||||
\(432\) | 3.57576 | + | 3.77014i | 0.172039 | + | 0.181391i | ||||
\(433\) | 19.0811i | 0.916977i | 0.888700 | + | 0.458488i | \(0.151609\pi\) | ||||
−0.888700 | + | 0.458488i | \(0.848391\pi\) | |||||||
\(434\) | −13.3364 | + | 14.0910i | −0.640168 | + | 0.676388i | ||||
\(435\) | 2.94054 | − | 10.5995i | 0.140988 | − | 0.508205i | ||||
\(436\) | −7.92947 | −0.379753 | ||||||||
\(437\) | 28.7569 | − | 49.8084i | 1.37563 | − | 2.38266i | ||||
\(438\) | 15.0704 | + | 4.18088i | 0.720091 | + | 0.199770i | ||||
\(439\) | −16.8037 | − | 29.1048i | −0.801995 | − | 1.38910i | −0.918301 | − | 0.395883i | \(-0.870439\pi\) |
0.116306 | − | 0.993213i | \(-0.462895\pi\) | |||||||
\(440\) | −2.28452 | + | 3.95691i | −0.108910 | + | 0.188638i | ||||
\(441\) | −13.4944 | + | 7.47683i | −0.642591 | + | 0.356040i | ||||
\(442\) | 14.3818 | 0.684071 | ||||||||
\(443\) | 6.93043 | − | 4.00128i | 0.329275 | − | 0.190107i | −0.326244 | − | 0.945285i | \(-0.605783\pi\) |
0.655519 | + | 0.755179i | \(0.272450\pi\) | |||||||
\(444\) | 14.9374 | − | 3.86161i | 0.708896 | − | 0.183264i | ||||
\(445\) | −3.23994 | + | 1.87058i | −0.153588 | + | 0.0886739i | ||||
\(446\) | 2.36323 | − | 4.09323i | 0.111902 | − | 0.193820i | ||||
\(447\) | 19.4280 | − | 5.02251i | 0.918911 | − | 0.237557i | ||||
\(448\) | 1.74230 | − | 3.01775i | 0.0823159 | − | 0.142575i | ||||
\(449\) | −20.3595 | −0.960824 | −0.480412 | − | 0.877043i | \(-0.659513\pi\) | ||||
−0.480412 | + | 0.877043i | \(0.659513\pi\) | |||||||
\(450\) | −1.54559 | + | 2.57122i | −0.0728596 | + | 0.121208i | ||||
\(451\) | −9.91941 | − | 5.72697i | −0.467087 | − | 0.269673i | ||||
\(452\) | −6.53805 | + | 3.77475i | −0.307524 | + | 0.177549i | ||||
\(453\) | 3.95256 | + | 4.02290i | 0.185708 | + | 0.189012i | ||||
\(454\) | 1.14798 | + | 1.98836i | 0.0538774 | + | 0.0933184i | ||||
\(455\) | 12.4000 | + | 21.4775i | 0.581323 | + | 1.00688i | ||||
\(456\) | −12.9971 | + | 3.36002i | −0.608647 | + | 0.157347i | ||||
\(457\) | − | 11.2885i | − | 0.528052i | −0.964516 | − | 0.264026i | \(-0.914950\pi\) | ||
0.964516 | − | 0.264026i | \(-0.0850504\pi\) | |||||||
\(458\) | 10.4779 | − | 18.1482i | 0.489598 | − | 0.848009i | ||||
\(459\) | 10.2107 | − | 2.44839i | 0.476593 | − | 0.114281i | ||||
\(460\) | 6.42639 | − | 3.71028i | 0.299632 | − | 0.172993i | ||||
\(461\) | 16.9753 | 0.790617 | 0.395308 | − | 0.918548i | \(-0.370638\pi\) | ||||
0.395308 | + | 0.918548i | \(0.370638\pi\) | |||||||
\(462\) | 19.3268 | + | 19.6707i | 0.899166 | + | 0.915166i | ||||
\(463\) | − | 7.96544i | − | 0.370186i | −0.982721 | − | 0.185093i | \(-0.940741\pi\) | ||
0.982721 | − | 0.185093i | \(-0.0592586\pi\) | |||||||
\(464\) | 6.35073 | 0.294825 | ||||||||
\(465\) | 8.44028 | + | 4.66494i | 0.391409 | + | 0.216331i | ||||
\(466\) | −20.5404 | −0.951513 | ||||||||
\(467\) | − | 17.5704i | − | 0.813063i | −0.913637 | − | 0.406532i | \(-0.866738\pi\) | ||
0.913637 | − | 0.406532i | \(-0.133262\pi\) | |||||||
\(468\) | −10.3478 | − | 18.6761i | −0.478329 | − | 0.863301i | ||||
\(469\) | 21.5296 | 0.994144 | ||||||||
\(470\) | 5.13965 | − | 2.96738i | 0.237074 | − | 0.136875i | ||||
\(471\) | 10.6918 | − | 10.5049i | 0.492652 | − | 0.484038i | ||||
\(472\) | 4.16265 | − | 7.20993i | 0.191602 | − | 0.331864i | ||||
\(473\) | 16.9547i | 0.779579i | ||||||||
\(474\) | −3.67292 | − | 14.2075i | −0.168703 | − | 0.652573i | ||||
\(475\) | −3.87530 | − | 6.71222i | −0.177811 | − | 0.307978i | ||||
\(476\) | −3.52075 | − | 6.09811i | −0.161373 | − | 0.279507i | ||||
\(477\) | −26.7609 | + | 14.8274i | −1.22530 | + | 0.678899i | ||||
\(478\) | 6.43260 | − | 3.71386i | 0.294220 | − | 0.169868i | ||||
\(479\) | −34.7418 | − | 20.0582i | −1.58739 | − | 0.916481i | −0.993735 | − | 0.111764i | \(-0.964350\pi\) |
−0.593658 | − | 0.804718i | \(-0.702317\pi\) | |||||||
\(480\) | −1.66901 | − | 0.463024i | −0.0761797 | − | 0.0211340i | ||||
\(481\) | −63.3961 | −2.89061 | ||||||||
\(482\) | 11.1059 | − | 19.2359i | 0.505858 | − | 0.876172i | ||||
\(483\) | −11.2097 | − | 43.3613i | −0.510061 | − | 1.97301i | ||||
\(484\) | 4.93811 | − | 8.55305i | 0.224459 | − | 0.388775i | ||||
\(485\) | −4.47255 | + | 2.58223i | −0.203088 | + | 0.117253i | ||||
\(486\) | −10.5261 | − | 11.4978i | −0.477475 | − | 0.521553i | ||||
\(487\) | 11.2285 | − | 6.48275i | 0.508810 | − | 0.293761i | −0.223535 | − | 0.974696i | \(-0.571760\pi\) |
0.732344 | + | 0.680935i | \(0.238426\pi\) | |||||||
\(488\) | −2.03181 | −0.0919757 | ||||||||
\(489\) | 12.9906 | − | 12.7635i | 0.587457 | − | 0.577186i | ||||
\(490\) | 2.57122 | − | 4.45348i | 0.116156 | − | 0.201188i | ||||
\(491\) | 5.53082 | + | 9.57967i | 0.249603 | + | 0.432324i | 0.963416 | − | 0.268012i | \(-0.0863667\pi\) |
−0.713813 | + | 0.700336i | \(0.753033\pi\) | |||||||
\(492\) | 1.16073 | − | 4.18398i | 0.0523299 | − | 0.188628i | ||||
\(493\) | 6.41661 | − | 11.1139i | 0.288989 | − | 0.500544i | ||||
\(494\) | 55.1615 | 2.48183 | ||||||||
\(495\) | 7.06186 | − | 11.7480i | 0.317407 | − | 0.528034i | ||||
\(496\) | −1.29260 | + | 5.41564i | −0.0580394 | + | 0.243170i | ||||
\(497\) | 9.11942i | 0.409062i | ||||||||
\(498\) | 4.20993 | − | 15.1751i | 0.188651 | − | 0.680012i | ||||
\(499\) | −20.9146 | − | 12.0750i | −0.936264 | − | 0.540552i | −0.0474768 | − | 0.998872i | \(-0.515118\pi\) |
−0.888787 | + | 0.458320i | \(0.848451\pi\) | |||||||
\(500\) | − | 1.00000i | − | 0.0447214i | ||||||
\(501\) | −2.74921 | − | 10.6344i | −0.122825 | − | 0.475111i | ||||
\(502\) | −22.6925 | − | 13.1015i | −1.01282 | − | 0.584750i | ||||
\(503\) | −1.02268 | − | 0.590446i | −0.0455991 | − | 0.0263267i | 0.477027 | − | 0.878889i | \(-0.341714\pi\) |
−0.522626 | + | 0.852562i | \(0.675048\pi\) | |||||||
\(504\) | −5.38575 | + | 8.95967i | −0.239900 | + | 0.399095i | ||||
\(505\) | −6.67859 | − | 11.5677i | −0.297193 | − | 0.514754i | ||||
\(506\) | −29.3625 | + | 16.9525i | −1.30532 | + | 0.753629i | ||||
\(507\) | 16.3230 | + | 63.1403i | 0.724930 | + | 2.80416i | ||||
\(508\) | 2.02816 | + | 1.17096i | 0.0899852 | + | 0.0519530i | ||||
\(509\) | −14.3823 | − | 24.9109i | −0.637484 | − | 1.10416i | −0.985983 | − | 0.166846i | \(-0.946642\pi\) |
0.348498 | − | 0.937309i | \(-0.386692\pi\) | |||||||
\(510\) | −2.49663 | + | 2.45298i | −0.110553 | + | 0.108620i | ||||
\(511\) | 31.4643i | 1.39190i | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 39.1631 | − | 9.39084i | 1.72909 | − | 0.414616i | ||||
\(514\) | 1.10171 | + | 1.90822i | 0.0485944 | + | 0.0841680i | ||||
\(515\) | 9.35418 | + | 5.40064i | 0.412194 | + | 0.237981i | ||||
\(516\) | −6.22268 | + | 1.60869i | −0.273938 | + | 0.0708184i | ||||
\(517\) | −23.4833 | + | 13.5581i | −1.03280 | + | 0.596285i | ||||
\(518\) | 15.5197 | + | 26.8810i | 0.681899 | + | 1.18108i | ||||
\(519\) | 3.14017 | − | 11.3191i | 0.137838 | − | 0.496852i | ||||
\(520\) | 6.16355 | + | 3.55853i | 0.270290 | + | 0.156052i | ||||
\(521\) | 7.38345 | + | 4.26284i | 0.323475 | + | 0.186758i | 0.652940 | − | 0.757409i | \(-0.273535\pi\) |
−0.329465 | + | 0.944168i | \(0.606869\pi\) | |||||||
\(522\) | −19.0492 | − | 0.336002i | −0.833761 | − | 0.0147064i | ||||
\(523\) | 16.0030i | 0.699764i | 0.936794 | + | 0.349882i | \(0.113778\pi\) | ||||
−0.936794 | + | 0.349882i | \(0.886222\pi\) | |||||||
\(524\) | −9.65680 | − | 5.57535i | −0.421859 | − | 0.243560i | ||||
\(525\) | −5.81585 | − | 1.61345i | −0.253824 | − | 0.0704168i | ||||
\(526\) | − | 26.8127i | − | 1.16909i | ||||||
\(527\) | 8.17147 | + | 7.73389i | 0.355955 | + | 0.336894i | ||||
\(528\) | 7.62581 | + | 2.11558i | 0.331871 | + | 0.0920687i | ||||
\(529\) | 32.0647 | 1.39412 | ||||||||
\(530\) | 5.09901 | − | 8.83174i | 0.221487 | − | 0.383626i | ||||
\(531\) | −12.8675 | + | 21.4062i | −0.558401 | + | 0.928949i | ||||
\(532\) | −13.5039 | − | 23.3894i | −0.585467 | − | 1.01406i | ||||
\(533\) | −8.92071 | + | 15.4511i | −0.386399 | + | 0.669263i | ||||
\(534\) | 4.54138 | + | 4.62219i | 0.196525 | + | 0.200022i | ||||
\(535\) | 4.71232 | 0.203731 | ||||||||
\(536\) | 5.35073 | − | 3.08925i | 0.231117 | − | 0.133435i | ||||
\(537\) | 8.63038 | + | 33.3838i | 0.372428 | + | 1.44062i | ||||
\(538\) | −14.6229 | + | 8.44253i | −0.630438 | + | 0.363983i | ||||
\(539\) | −11.7480 | + | 20.3482i | −0.506023 | + | 0.876458i | ||||
\(540\) | 4.98177 | + | 1.47716i | 0.214381 | + | 0.0635668i | ||||
\(541\) | −11.1843 | + | 19.3718i | −0.480850 | + | 0.832857i | −0.999759 | − | 0.0219728i | \(-0.993005\pi\) |
0.518908 | + | 0.854830i | \(0.326339\pi\) | |||||||
\(542\) | −1.70861 | −0.0733911 | ||||||||
\(543\) | −0.273196 | + | 0.984761i | −0.0117239 | + | 0.0422601i | ||||
\(544\) | −1.75002 | − | 1.01037i | −0.0750314 | − | 0.0433194i | ||||
\(545\) | −6.86713 | + | 3.96474i | −0.294155 | + | 0.169831i | ||||
\(546\) | 30.6405 | − | 30.1048i | 1.31129 | − | 1.28837i | ||||
\(547\) | −4.94232 | − | 8.56034i | −0.211318 | − | 0.366014i | 0.740809 | − | 0.671716i | \(-0.234442\pi\) |
−0.952127 | + | 0.305702i | \(0.901109\pi\) | |||||||
\(548\) | −4.11888 | − | 7.13410i | −0.175950 | − | 0.304754i | ||||
\(549\) | 6.09448 | + | 0.107498i | 0.260106 | + | 0.00458791i | ||||
\(550\) | 4.56905i | 0.194825i | ||||||||
\(551\) | 24.6110 | − | 42.6275i | 1.04846 | − | 1.81599i | ||||
\(552\) | −9.00780 | − | 9.16808i | −0.383397 | − | 0.390220i | ||||
\(553\) | 25.5676 | − | 14.7614i | 1.08724 | − | 0.627720i | ||||
\(554\) | −10.7229 | −0.455572 | ||||||||
\(555\) | 11.0053 | − | 10.8129i | 0.467151 | − | 0.458984i | ||||
\(556\) | 7.69544i | 0.326359i | ||||||||
\(557\) | −29.2677 | −1.24011 | −0.620056 | − | 0.784557i | \(-0.712890\pi\) | ||||
−0.620056 | + | 0.784557i | \(0.712890\pi\) | |||||||
\(558\) | 4.16372 | − | 16.1760i | 0.176264 | − | 0.684785i | ||||
\(559\) | 26.4098 | 1.11702 | ||||||||
\(560\) | − | 3.48460i | − | 0.147251i | ||||||
\(561\) | 11.4072 | − | 11.2078i | 0.481613 | − | 0.473193i | ||||
\(562\) | −5.39706 | −0.227661 | ||||||||
\(563\) | 11.1094 | − | 6.41401i | 0.468205 | − | 0.270318i | −0.247283 | − | 0.968943i | \(-0.579538\pi\) |
0.715488 | + | 0.698625i | \(0.246204\pi\) | |||||||
\(564\) | −7.20418 | − | 7.33238i | −0.303351 | − | 0.308749i | ||||
\(565\) | −3.77475 | + | 6.53805i | −0.158805 | + | 0.275058i | ||||
\(566\) | − | 1.57973i | − | 0.0664011i | ||||||
\(567\) | 16.6288 | − | 26.5899i | 0.698343 | − | 1.11667i | ||||
\(568\) | 1.30853 | + | 2.26644i | 0.0549048 | + | 0.0950979i | ||||
\(569\) | 11.5367 | + | 19.9822i | 0.483644 | + | 0.837696i | 0.999824 | − | 0.0187841i | \(-0.00597952\pi\) |
−0.516179 | + | 0.856481i | \(0.672646\pi\) | |||||||
\(570\) | −9.57585 | + | 9.40843i | −0.401088 | + | 0.394076i | ||||
\(571\) | −36.0606 | + | 20.8196i | −1.50909 | + | 0.871273i | −0.509145 | + | 0.860681i | \(0.670038\pi\) |
−0.999944 | + | 0.0105924i | \(0.996628\pi\) | |||||||
\(572\) | −28.1616 | − | 16.2591i | −1.17749 | − | 0.679827i | ||||
\(573\) | −0.0177982 | + | 0.0641554i | −0.000743531 | + | 0.00268013i | ||||
\(574\) | 8.73539 | 0.364608 | ||||||||
\(575\) | 3.71028 | − | 6.42639i | 0.154729 | − | 0.267999i | ||||
\(576\) | −0.0529076 | + | 2.99953i | −0.00220448 | + | 0.124981i | ||||
\(577\) | 1.28776 | − | 2.23047i | 0.0536102 | − | 0.0928556i | −0.837975 | − | 0.545709i | \(-0.816260\pi\) |
0.891585 | + | 0.452853i | \(0.149594\pi\) | |||||||
\(578\) | 11.1861 | − | 6.45829i | 0.465280 | − | 0.268629i | ||||
\(579\) | 0.716759 | + | 2.77255i | 0.0297875 | + | 0.115223i | ||||
\(580\) | 5.49989 | − | 3.17536i | 0.228370 | − | 0.131850i | ||||
\(581\) | 31.6828 | 1.31443 | ||||||||
\(582\) | 6.26911 | + | 6.38067i | 0.259863 | + | 0.264487i | ||||
\(583\) | −23.2976 | + | 40.3526i | −0.964889 | + | 1.67124i | ||||
\(584\) | 4.51476 | + | 7.81979i | 0.186822 | + | 0.323585i | ||||
\(585\) | −18.2995 | − | 11.0000i | −0.756592 | − | 0.454795i | ||||
\(586\) | −0.907515 | + | 1.57186i | −0.0374891 | + | 0.0649330i | ||||
\(587\) | −34.5548 | −1.42623 | −0.713115 | − | 0.701047i | \(-0.752716\pi\) | ||||
−0.713115 | + | 0.701047i | \(0.752716\pi\) | |||||||
\(588\) | −8.58280 | − | 2.38107i | −0.353949 | − | 0.0981936i | ||||
\(589\) | 31.3418 | + | 29.6634i | 1.29141 | + | 1.22226i | ||||
\(590\) | − | 8.32531i | − | 0.342747i | ||||||
\(591\) | 18.7587 | + | 5.20410i | 0.771629 | + | 0.214068i | ||||
\(592\) | 7.71423 | + | 4.45381i | 0.317053 | + | 0.183050i | ||||
\(593\) | − | 38.0833i | − | 1.56389i | −0.623345 | − | 0.781947i | \(-0.714227\pi\) | ||
0.623345 | − | 0.781947i | \(-0.285773\pi\) | |||||||
\(594\) | −22.7619 | − | 6.74921i | −0.933934 | − | 0.276923i | ||||
\(595\) | −6.09811 | − | 3.52075i | −0.249998 | − | 0.144337i | ||||
\(596\) | 10.0333 | + | 5.79275i | 0.410981 | + | 0.237280i | ||||
\(597\) | 6.04671 | − | 21.7960i | 0.247475 | − | 0.892049i | ||||
\(598\) | 26.4063 | + | 45.7370i | 1.07983 | + | 1.87033i | ||||
\(599\) | −20.5428 | + | 11.8604i | −0.839355 | + | 0.484602i | −0.857045 | − | 0.515242i | \(-0.827702\pi\) |
0.0176899 | + | 0.999844i | \(0.494369\pi\) | |||||||
\(600\) | −1.67692 | + | 0.433517i | −0.0684600 | + | 0.0176983i | ||||
\(601\) | 27.7430 | + | 16.0174i | 1.13166 | + | 0.653365i | 0.944352 | − | 0.328936i | \(-0.106690\pi\) |
0.187309 | + | 0.982301i | \(0.440023\pi\) | |||||||
\(602\) | −6.46529 | − | 11.1982i | −0.263506 | − | 0.456405i | ||||
\(603\) | −16.2132 | + | 8.98321i | −0.660251 | + | 0.365825i | ||||
\(604\) | 3.25609i | 0.132489i | ||||||||
\(605\) | − | 9.87622i | − | 0.401525i | ||||||
\(606\) | −16.5028 | + | 16.2142i | −0.670378 | + | 0.658658i | ||||
\(607\) | 11.3836 | + | 19.7170i | 0.462047 | + | 0.800289i | 0.999063 | − | 0.0432830i | \(-0.0137817\pi\) |
−0.537016 | + | 0.843572i | \(0.680448\pi\) | |||||||
\(608\) | −6.71222 | − | 3.87530i | −0.272216 | − | 0.157164i | ||||
\(609\) | −9.59362 | − | 37.1098i | −0.388753 | − | 1.50377i | ||||
\(610\) | −1.75960 | + | 1.01591i | −0.0712441 | + | 0.0411328i | ||||
\(611\) | 21.1190 | + | 36.5792i | 0.854384 | + | 1.47984i | ||||
\(612\) | 5.19578 | + | 3.12324i | 0.210027 | + | 0.126249i | ||||
\(613\) | −31.6497 | − | 18.2730i | −1.27832 | − | 0.738038i | −0.301780 | − | 0.953378i | \(-0.597581\pi\) |
−0.976539 | + | 0.215340i | \(0.930914\pi\) | |||||||
\(614\) | 19.2638 | + | 11.1220i | 0.777423 | + | 0.448846i | ||||
\(615\) | −1.08676 | − | 4.20380i | −0.0438226 | − | 0.169513i | ||||
\(616\) | 15.9213i | 0.641488i | ||||||||
\(617\) | −24.1598 | − | 13.9487i | −0.972638 | − | 0.561553i | −0.0725987 | − | 0.997361i | \(-0.523129\pi\) |
−0.900040 | + | 0.435808i | \(0.856463\pi\) | |||||||
\(618\) | 5.00125 | − | 18.0275i | 0.201180 | − | 0.725172i | ||||
\(619\) | 30.8511i | 1.24001i | 0.784598 | + | 0.620004i | \(0.212869\pi\) | ||||
−0.784598 | + | 0.620004i | \(0.787131\pi\) | |||||||
\(620\) | 1.58840 | + | 5.33638i | 0.0637916 | + | 0.214314i | ||||
\(621\) | 26.5341 | + | 27.9766i | 1.06478 | + | 1.12266i | ||||
\(622\) | −7.90128 | −0.316812 | ||||||||
\(623\) | −6.51822 | + | 11.2899i | −0.261147 | + | 0.452320i | ||||
\(624\) | 3.29537 | − | 11.8785i | 0.131920 | − | 0.475519i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 15.1742 | − | 26.2824i | 0.606481 | − | 1.05046i | ||||
\(627\) | 43.7525 | − | 42.9876i | 1.74731 | − | 1.71676i | ||||
\(628\) | 8.65383 | 0.345326 | ||||||||
\(629\) | 15.5885 | − | 9.00003i | 0.621554 | − | 0.358855i | ||||
\(630\) | −0.184362 | + | 10.4522i | −0.00734515 | + | 0.416425i | ||||
\(631\) | 10.5170 | − | 6.07200i | 0.418676 | − | 0.241723i | −0.275835 | − | 0.961205i | \(-0.588954\pi\) |
0.694511 | + | 0.719483i | \(0.255621\pi\) | |||||||
\(632\) | 4.23619 | − | 7.33730i | 0.168507 | − | 0.291862i | ||||
\(633\) | 8.85679 | + | 34.2596i | 0.352026 | + | 1.36170i | ||||
\(634\) | 1.17626 | − | 2.03734i | 0.0467151 | − | 0.0809129i | ||||
\(635\) | 2.34192 | 0.0929363 | ||||||||
\(636\) | −17.0206 | − | 4.72192i | −0.674912 | − | 0.187236i | ||||
\(637\) | 31.6957 | + | 18.2995i | 1.25583 | + | 0.725053i | ||||
\(638\) | −25.1293 | + | 14.5084i | −0.994877 | + | 0.574393i | ||||
\(639\) | −3.80507 | − | 6.86751i | −0.150526 | − | 0.271674i | ||||
\(640\) | −0.500000 | − | 0.866025i | −0.0197642 | − | 0.0342327i | ||||
\(641\) | −1.90290 | − | 3.29593i | −0.0751602 | − | 0.130181i | 0.825996 | − | 0.563676i | \(-0.190613\pi\) |
−0.901156 | + | 0.433495i | \(0.857280\pi\) | |||||||
\(642\) | −2.04287 | − | 7.90219i | −0.0806257 | − | 0.311875i | ||||
\(643\) | 20.2527i | 0.798687i | 0.916801 | + | 0.399344i | \(0.130762\pi\) | ||||
−0.916801 | + | 0.399344i | \(0.869238\pi\) | |||||||
\(644\) | 12.9288 | − | 22.3934i | 0.509468 | − | 0.882424i | ||||
\(645\) | −4.58466 | + | 4.50450i | −0.180521 | + | 0.177365i | ||||
\(646\) | −13.5637 | + | 7.83100i | −0.533656 | + | 0.308107i | ||||
\(647\) | −16.2899 | −0.640422 | −0.320211 | − | 0.947346i | \(-0.603754\pi\) | ||||
−0.320211 | + | 0.947346i | \(0.603754\pi\) | |||||||
\(648\) | 0.317396 | − | 8.99440i | 0.0124685 | − | 0.353333i | ||||
\(649\) | 38.0387i | 1.49315i | ||||||||
\(650\) | 7.11706 | 0.279154 | ||||||||
\(651\) | 33.5984 | − | 0.627886i | 1.31683 | − | 0.0246088i | ||||
\(652\) | 10.5145 | 0.411779 | ||||||||
\(653\) | − | 17.8196i | − | 0.697335i | −0.937247 | − | 0.348667i | \(-0.886634\pi\) | ||
0.937247 | − | 0.348667i | \(-0.113366\pi\) | |||||||
\(654\) | 9.62557 | + | 9.79684i | 0.376389 | + | 0.383087i | ||||
\(655\) | −11.1507 | −0.435694 | ||||||||
\(656\) | 2.17100 | − | 1.25343i | 0.0847633 | − | 0.0489381i | ||||
\(657\) | −13.1284 | − | 23.6946i | −0.512189 | − | 0.924414i | ||||
\(658\) | 10.3401 | − | 17.9096i | 0.403100 | − | 0.698190i | ||||
\(659\) | − | 41.5819i | − | 1.61980i | −0.586567 | − | 0.809901i | \(-0.699521\pi\) | ||
0.586567 | − | 0.809901i | \(-0.300479\pi\) | |||||||
\(660\) | 7.66193 | − | 1.98076i | 0.298240 | − | 0.0771010i | ||||
\(661\) | 19.3681 | + | 33.5466i | 0.753334 | + | 1.30481i | 0.946199 | + | 0.323587i | \(0.104889\pi\) |
−0.192865 | + | 0.981225i | \(0.561778\pi\) | |||||||
\(662\) | −16.7142 | − | 28.9498i | −0.649614 | − | 1.12516i | ||||
\(663\) | −17.4580 | − | 17.7686i | −0.678012 | − | 0.690077i | ||||
\(664\) | 7.87412 | − | 4.54612i | 0.305575 | − | 0.176424i | ||||
\(665\) | −23.3894 | − | 13.5039i | −0.907002 | − | 0.523658i | ||||
\(666\) | −22.9034 | − | 13.7675i | −0.887490 | − | 0.533480i | ||||
\(667\) | 47.1260 | 1.82472 | ||||||||
\(668\) | 3.17082 | − | 5.49202i | 0.122683 | − | 0.212492i | ||||
\(669\) | −7.92588 | + | 2.04900i | −0.306432 | + | 0.0792188i | ||||
\(670\) | 3.08925 | − | 5.35073i | 0.119348 | − | 0.206717i | ||||
\(671\) | 8.03970 | − | 4.64172i | 0.310369 | − | 0.179192i | ||||
\(672\) | −5.84340 | + | 1.51063i | −0.225414 | + | 0.0582740i | ||||
\(673\) | −6.95179 | + | 4.01362i | −0.267972 | + | 0.154714i | −0.627966 | − | 0.778241i | \(-0.716112\pi\) |
0.359994 | + | 0.932955i | \(0.382779\pi\) | |||||||
\(674\) | 20.3539 | 0.784004 | ||||||||
\(675\) | 5.05292 | − | 1.21163i | 0.194487 | − | 0.0466355i | ||||
\(676\) | −18.8263 | + | 32.6080i | −0.724087 | + | 1.25416i | ||||
\(677\) | 14.9097 | + | 25.8244i | 0.573028 | + | 0.992513i | 0.996253 | + | 0.0864884i | \(0.0275645\pi\) |
−0.423225 | + | 0.906024i | \(0.639102\pi\) | |||||||
\(678\) | 12.6002 | + | 3.49559i | 0.483908 | + | 0.134247i | ||||
\(679\) | −8.99803 | + | 15.5850i | −0.345313 | + | 0.598099i | ||||
\(680\) | −2.02075 | −0.0774921 | ||||||||
\(681\) | 1.06308 | − | 3.83199i | 0.0407375 | − | 0.146842i | ||||
\(682\) | −7.25747 | − | 24.3822i | −0.277903 | − | 0.933643i | ||||
\(683\) | 30.4194i | 1.16397i | 0.813201 | + | 0.581983i | \(0.197723\pi\) | ||||
−0.813201 | + | 0.581983i | \(0.802277\pi\) | |||||||
\(684\) | 19.9285 | + | 11.9792i | 0.761985 | + | 0.458037i | ||||
\(685\) | −7.13410 | − | 4.11888i | −0.272580 | − | 0.157374i | ||||
\(686\) | 6.47286i | 0.247135i | ||||||||
\(687\) | −35.1411 | + | 9.08466i | −1.34072 | + | 0.346601i | ||||
\(688\) | −3.21363 | − | 1.85539i | −0.122518 | − | 0.0707361i | ||||
\(689\) | 62.8560 | + | 36.2899i | 2.39462 | + | 1.38254i | ||||
\(690\) | −12.3850 | − | 3.43589i | −0.471490 | − | 0.130802i | ||||
\(691\) | −14.7285 | − | 25.5106i | −0.560300 | − | 0.970467i | −0.997470 | − | 0.0710887i | \(-0.977353\pi\) |
0.437170 | − | 0.899379i | \(-0.355981\pi\) | |||||||
\(692\) | 5.87328 | − | 3.39094i | 0.223269 | − | 0.128904i | ||||
\(693\) | 0.842358 | − | 47.7565i | 0.0319985 | − | 1.81412i | ||||
\(694\) | −5.90895 | − | 3.41153i | −0.224301 | − | 0.129500i | ||||
\(695\) | 3.84772 | + | 6.66445i | 0.145952 | + | 0.252797i | ||||
\(696\) | −7.70913 | − | 7.84631i | −0.292214 | − | 0.297413i | ||||
\(697\) | − | 5.06572i | − | 0.191878i | ||||||
\(698\) | 22.1151i | 0.837070i | ||||||||
\(699\) | 24.9339 | + | 25.3776i | 0.943086 | + | 0.959867i | ||||
\(700\) | −1.74230 | − | 3.01775i | −0.0658527 | − | 0.114060i | ||||
\(701\) | −10.4353 | − | 6.02480i | −0.394134 | − | 0.227553i | 0.289816 | − | 0.957082i | \(-0.406406\pi\) |
−0.683950 | + | 0.729529i | \(0.739739\pi\) | |||||||
\(702\) | −10.5130 | + | 35.4555i | −0.396788 | + | 1.33818i | ||||
\(703\) | 59.7899 | − | 34.5197i | 2.25502 | − | 1.30194i | ||||
\(704\) | 2.28452 | + | 3.95691i | 0.0861013 | + | 0.149132i | ||||
\(705\) | −9.90520 | − | 2.74793i | −0.373051 | − | 0.103493i | ||||
\(706\) | 13.4130 | + | 7.74400i | 0.504805 | + | 0.291449i | ||||
\(707\) | −40.3086 | − | 23.2722i | −1.51596 | − | 0.875241i | ||||
\(708\) | −13.9609 | + | 3.60916i | −0.524682 | + | 0.135641i | ||||
\(709\) | − | 13.5805i | − | 0.510025i | −0.966938 | − | 0.255012i | \(-0.917920\pi\) | ||
0.966938 | − | 0.255012i | \(-0.0820795\pi\) | |||||||
\(710\) | 2.26644 | + | 1.30853i | 0.0850581 | + | 0.0491083i | ||||
\(711\) | −13.0948 | + | 21.7844i | −0.491093 | + | 0.816977i | ||||
\(712\) | 3.74116i | 0.140206i | ||||||||
\(713\) | −9.59181 | + | 40.1871i | −0.359216 | + | 1.50502i | ||||
\(714\) | −3.26038 | + | 11.7524i | −0.122017 | + | 0.439821i | ||||
\(715\) | −32.5182 | −1.21611 | ||||||||
\(716\) | −9.95391 | + | 17.2407i | −0.371995 | + | 0.644314i | ||||
\(717\) | −12.3970 | − | 3.43921i | −0.462974 | − | 0.128440i | ||||
\(718\) | 3.50525 | + | 6.07127i | 0.130815 | + | 0.226578i | ||||
\(719\) | 14.0046 | − | 24.2566i | 0.522282 | − | 0.904619i | −0.477382 | − | 0.878696i | \(-0.658414\pi\) |
0.999664 | − | 0.0259233i | \(-0.00825258\pi\) | |||||||
\(720\) | 1.45395 | + | 2.62413i | 0.0541854 | + | 0.0977954i | ||||
\(721\) | 37.6381 | 1.40172 | ||||||||
\(722\) | −35.5692 | + | 20.5359i | −1.32375 | + | 0.764267i | ||||
\(723\) | −37.2473 | + | 9.62916i | −1.38524 | + | 0.358112i | ||||
\(724\) | −0.510977 | + | 0.295013i | −0.0189903 | + | 0.0109641i | ||||
\(725\) | 3.17536 | − | 5.49989i | 0.117930 | − | 0.204261i | ||||
\(726\) | −16.5616 | + | 4.28151i | −0.614660 | + | 0.158902i | ||||
\(727\) | 5.94479 | − | 10.2967i | 0.220480 | − | 0.381883i | −0.734474 | − | 0.678637i | \(-0.762571\pi\) |
0.954954 | + | 0.296754i | \(0.0959042\pi\) | |||||||
\(728\) | 24.8001 | 0.919153 | ||||||||
\(729\) | −1.42791 | + | 26.9622i | −0.0528856 | + | 0.998601i | ||||
\(730\) | 7.81979 | + | 4.51476i | 0.289423 | + | 0.167099i | ||||
\(731\) | −6.49393 | + | 3.74927i | −0.240187 | + | 0.138672i | ||||
\(732\) | 2.46641 | + | 2.51030i | 0.0911611 | + | 0.0927832i | ||||
\(733\) | −14.6598 | − | 25.3916i | −0.541474 | − | 0.937860i | −0.998820 | − | 0.0485712i | \(-0.984533\pi\) |
0.457346 | − | 0.889289i | \(-0.348800\pi\) | |||||||
\(734\) | 0.529587 | + | 0.917271i | 0.0195474 | + | 0.0338571i | ||||
\(735\) | −8.62346 | + | 2.22933i | −0.318081 | + | 0.0822302i | ||||
\(736\) | − | 7.42056i | − | 0.273526i | ||||||
\(737\) | −14.1149 | + | 24.4478i | −0.519930 | + | 0.900545i | ||||
\(738\) | −6.57830 | + | 3.64483i | −0.242151 | + | 0.134168i | ||||
\(739\) | 17.4177 | − | 10.0561i | 0.640719 | − | 0.369919i | −0.144172 | − | 0.989553i | \(-0.546052\pi\) |
0.784892 | + | 0.619633i | \(0.212719\pi\) | |||||||
\(740\) | 8.90762 | 0.327451 | ||||||||
\(741\) | −66.9604 | − | 68.1519i | −2.45985 | − | 2.50362i | ||||
\(742\) | − | 35.5360i | − | 1.30457i | ||||||
\(743\) | −37.1326 | −1.36226 | −0.681131 | − | 0.732162i | \(-0.738511\pi\) | ||||
−0.681131 | + | 0.732162i | \(0.738511\pi\) | |||||||
\(744\) | 8.26009 | − | 4.97703i | 0.302830 | − | 0.182467i | ||||
\(745\) | 11.5855 | 0.424460 | ||||||||
\(746\) | 9.78720i | 0.358335i | ||||||||
\(747\) | −23.8592 | + | 13.2197i | −0.872963 | + | 0.483682i | ||||
\(748\) | 9.23289 | 0.337588 | ||||||||
\(749\) | 14.2206 | − | 8.21028i | 0.519610 | − | 0.299997i | ||||
\(750\) | −1.23550 | + | 1.21390i | −0.0451140 | + | 0.0443253i | ||||
\(751\) | 17.9527 | − | 31.0951i | 0.655105 | − | 1.13467i | −0.326763 | − | 0.945106i | \(-0.605958\pi\) |
0.981868 | − | 0.189568i | \(-0.0607089\pi\) | |||||||
\(752\) | − | 5.93476i | − | 0.216418i | ||||||
\(753\) | 11.3595 | + | 43.9404i | 0.413962 | + | 1.60128i | ||||
\(754\) | 22.5992 | + | 39.1430i | 0.823016 | + | 1.42551i | ||||
\(755\) | 1.62805 | + | 2.81986i | 0.0592507 | + | 0.102625i | ||||
\(756\) | 17.6074 | − | 4.22204i | 0.640375 | − | 0.153554i | ||||
\(757\) | 45.7000 | − | 26.3849i | 1.66099 | − | 0.958975i | 0.688751 | − | 0.724998i | \(-0.258159\pi\) |
0.972242 | − | 0.233977i | \(-0.0751741\pi\) | |||||||
\(758\) | −5.59198 | − | 3.22853i | −0.203110 | − | 0.117265i | ||||
\(759\) | 56.5878 | + | 15.6988i | 2.05401 | + | 0.569829i | ||||
\(760\) | −7.75060 | −0.281144 | ||||||||
\(761\) | −2.24987 | + | 3.89689i | −0.0815578 | + | 0.141262i | −0.903919 | − | 0.427703i | \(-0.859323\pi\) |
0.822361 | + | 0.568965i | \(0.192656\pi\) | |||||||
\(762\) | −1.01526 | − | 3.92721i | −0.0367791 | − | 0.142268i | ||||
\(763\) | −13.8155 | + | 23.9292i | −0.500155 | + | 0.866295i | ||||
\(764\) | −0.0332892 | + | 0.0192195i | −0.00120436 | + | 0.000695339i | ||||
\(765\) | 6.06130 | + | 0.106913i | 0.219147 | + | 0.00386544i | ||||
\(766\) | 11.7515 | − | 6.78475i | 0.424600 | − | 0.245143i | ||||
\(767\) | 59.2517 | 2.13945 | ||||||||
\(768\) | −1.23550 | + | 1.21390i | −0.0445822 | + | 0.0438027i | ||||
\(769\) | −23.4372 | + | 40.5944i | −0.845166 | + | 1.46387i | 0.0403101 | + | 0.999187i | \(0.487165\pi\) |
−0.885477 | + | 0.464684i | \(0.846168\pi\) | |||||||
\(770\) | 7.96066 | + | 13.7883i | 0.286882 | + | 0.496894i | ||||
\(771\) | 1.02024 | − | 3.67754i | 0.0367429 | − | 0.132444i | ||||
\(772\) | −0.826680 | + | 1.43185i | −0.0297529 | + | 0.0515335i | ||||
\(773\) | 23.1884 | 0.834030 | 0.417015 | − | 0.908900i | \(-0.363076\pi\) | ||||
0.417015 | + | 0.908900i | \(0.363076\pi\) | |||||||
\(774\) | 9.54122 | + | 5.73533i | 0.342952 | + | 0.206152i | ||||
\(775\) | 4.04379 | + | 3.82724i | 0.145257 | + | 0.137479i | ||||
\(776\) | 5.16445i | 0.185393i | ||||||||
\(777\) | 14.3720 | − | 51.8054i | 0.515593 | − | 1.85851i | ||||
\(778\) | −14.7340 | − | 8.50667i | −0.528239 | − | 0.304979i | ||||
\(779\) | − | 19.4296i | − | 0.696139i | ||||||
\(780\) | −3.08537 | − | 11.9347i | −0.110474 | − | 0.427332i | ||||
\(781\) | −10.3555 | − | 5.97875i | −0.370549 | − | 0.213936i | ||||
\(782\) | −12.9861 | − | 7.49754i | −0.464383 | − | 0.268111i | ||||
\(783\) | 22.7087 | + | 23.9431i | 0.811541 | + | 0.855658i | ||||
\(784\) | −2.57122 | − | 4.45348i | −0.0918292 | − | 0.159053i | ||||
\(785\) | 7.49444 | − | 4.32692i | 0.267488 | − | 0.154434i | ||||
\(786\) | 4.83402 | + | 18.6989i | 0.172424 | + | 0.666966i | ||||
\(787\) | 13.6572 | + | 7.88500i | 0.486828 | + | 0.281070i | 0.723257 | − | 0.690579i | \(-0.242644\pi\) |
−0.236430 | + | 0.971649i | \(0.575977\pi\) | |||||||
\(788\) | 5.61969 | + | 9.73359i | 0.200193 | + | 0.346745i | ||||
\(789\) | −33.1270 | + | 32.5479i | −1.17935 | + | 1.15873i | ||||
\(790\) | − | 8.47239i | − | 0.301434i | ||||||
\(791\) | 26.3070i | 0.935368i | ||||||||
\(792\) | −6.64316 | − | 11.9898i | −0.236054 | − | 0.426038i | ||||
\(793\) | −7.23026 | − | 12.5232i | −0.256754 | − | 0.444711i | ||||
\(794\) | −3.27696 | − | 1.89196i | −0.116295 | − | 0.0671430i | ||||
\(795\) | −17.1013 | + | 4.42101i | −0.606519 | + | 0.156797i | ||||
\(796\) | 11.3096 | − | 6.52959i | 0.400857 | − | 0.231435i | ||||
\(797\) | 18.5401 | + | 32.1125i | 0.656726 | + | 1.13748i | 0.981458 | + | 0.191676i | \(0.0613924\pi\) |
−0.324732 | + | 0.945806i | \(0.605274\pi\) | |||||||
\(798\) | −12.5052 | + | 45.0763i | −0.442680 | + | 1.59568i | ||||
\(799\) | −10.3859 | − | 5.99632i | −0.367428 | − | 0.212135i | ||||
\(800\) | −0.866025 | − | 0.500000i | −0.0306186 | − | 0.0176777i | ||||
\(801\) | 0.197936 | − | 11.2217i | 0.00699371 | − | 0.396500i | ||||
\(802\) | 6.86891i | 0.242550i | ||||||||
\(803\) | −35.7290 | − | 20.6282i | −1.26085 | − | 0.727952i | ||||
\(804\) | −10.3120 | − | 2.86079i | −0.363676 | − | 0.100892i | ||||
\(805\) | − | 25.8577i | − | 0.911364i | ||||||
\(806\) | −37.9794 | + | 11.3047i | −1.33777 | + | 0.398192i | ||||
\(807\) | 28.1814 | + | 7.81818i | 0.992033 | + | 0.275213i | ||||
\(808\) | −13.3572 | −0.469904 | ||||||||
\(809\) | 1.42684 | − | 2.47135i | 0.0501649 | − | 0.0868881i | −0.839853 | − | 0.542815i | \(-0.817359\pi\) |
0.890017 | + | 0.455926i | \(0.150692\pi\) | |||||||
\(810\) | −4.22233 | − | 7.94808i | −0.148357 | − | 0.279267i | ||||
\(811\) | 21.0007 | + | 36.3744i | 0.737436 | + | 1.27728i | 0.953646 | + | 0.300930i | \(0.0972969\pi\) |
−0.216211 | + | 0.976347i | \(0.569370\pi\) | |||||||
\(812\) | 11.0649 | − | 19.1649i | 0.388301 | − | 0.672557i | ||||
\(813\) | 2.07408 | + | 2.11098i | 0.0727410 | + | 0.0740354i | ||||
\(814\) | −40.6994 | −1.42651 | ||||||||
\(815\) | 9.10582 | − | 5.25725i | 0.318963 | − | 0.184153i | ||||
\(816\) | 0.876028 | + | 3.38863i | 0.0306671 | + | 0.118626i | ||||
\(817\) | −24.9076 | + | 14.3804i | −0.871405 | + | 0.503106i | ||||
\(818\) | 2.98167 | − | 5.16441i | 0.104252 | − | 0.180569i | ||||
\(819\) | −74.3887 | − | 1.31211i | −2.59935 | − | 0.0458489i | ||||
\(820\) | 1.25343 | − | 2.17100i | 0.0437716 | − | 0.0758146i | ||||
\(821\) | −0.760718 | −0.0265492 | −0.0132746 | − | 0.999912i | \(-0.504226\pi\) | ||||
−0.0132746 | + | 0.999912i | \(0.504226\pi\) | |||||||
\(822\) | −3.81427 | + | 13.7489i | −0.133038 | + | 0.479549i | ||||
\(823\) | 42.5908 | + | 24.5898i | 1.48462 | + | 0.857147i | 0.999847 | − | 0.0174918i | \(-0.00556811\pi\) |
0.484775 | + | 0.874639i | \(0.338901\pi\) | |||||||
\(824\) | 9.35418 | − | 5.40064i | 0.325868 | − | 0.188140i | ||||
\(825\) | 5.64505 | − | 5.54636i | 0.196535 | − | 0.193099i | ||||
\(826\) | −14.5052 | − | 25.1237i | −0.504700 | − | 0.874166i | ||||
\(827\) | 19.0147 | + | 32.9345i | 0.661207 | + | 1.14524i | 0.980299 | + | 0.197521i | \(0.0632889\pi\) |
−0.319092 | + | 0.947724i | \(0.603378\pi\) | |||||||
\(828\) | −0.392604 | + | 22.2582i | −0.0136439 | + | 0.773527i | ||||
\(829\) | − | 34.4080i | − | 1.19504i | −0.801854 | − | 0.597520i | \(-0.796153\pi\) | ||
0.801854 | − | 0.597520i | \(-0.203847\pi\) | |||||||
\(830\) | 4.54612 | − | 7.87412i | 0.157798 | − | 0.273315i | ||||
\(831\) | 13.0165 | + | 13.2481i | 0.451537 | + | 0.459571i | ||||
\(832\) | 6.16355 | − | 3.55853i | 0.213683 | − | 0.123370i | ||||
\(833\) | −10.3916 | −0.360046 | ||||||||
\(834\) | 9.50770 | − | 9.34148i | 0.329225 | − | 0.323469i | ||||
\(835\) | − | 6.34163i | − | 0.219461i | ||||||
\(836\) | 35.4129 | 1.22478 | ||||||||
\(837\) | −25.0398 | + | 14.4918i | −0.865500 | + | 0.500908i | ||||
\(838\) | 1.08088 | 0.0373385 | ||||||||
\(839\) | − | 55.2028i | − | 1.90581i | −0.303267 | − | 0.952906i | \(-0.598077\pi\) | ||
0.303267 | − | 0.952906i | \(-0.401923\pi\) | |||||||
\(840\) | −4.30521 | + | 4.22995i | −0.148544 | + | 0.145947i | ||||
\(841\) | 11.3317 | 0.390749 | ||||||||
\(842\) | 11.3137 | − | 6.53199i | 0.389897 | − | 0.225107i | ||||
\(843\) | 6.55147 | + | 6.66805i | 0.225645 | + | 0.229660i | ||||
\(844\) | −10.2150 | + | 17.6930i | −0.351616 | + | 0.609017i | ||||
\(845\) | 37.6525i | 1.29529i | ||||||||
\(846\) | −0.313994 | + | 17.8015i | −0.0107953 | + | 0.612028i | ||||
\(847\) | −17.2073 | − | 29.8040i | −0.591251 | − | 1.02408i | ||||
\(848\) | −5.09901 | − | 8.83174i | −0.175101 | − | 0.303283i | ||||
\(849\) | −1.95175 | + | 1.91763i | −0.0669840 | + | 0.0658130i | ||||
\(850\) | −1.75002 | + | 1.01037i | −0.0600251 | + | 0.0346555i | ||||
\(851\) | 57.2439 | + | 33.0498i | 1.96230 | + | 1.13293i | ||||
\(852\) | 1.21176 | − | 4.36792i | 0.0415143 | − | 0.149642i | ||||
\(853\) | −3.59004 | −0.122920 | −0.0614602 | − | 0.998110i | \(-0.519576\pi\) | ||||
−0.0614602 | + | 0.998110i | \(0.519576\pi\) | |||||||
\(854\) | −3.54002 | + | 6.13150i | −0.121137 | + | 0.209816i | ||||
\(855\) | 23.2482 | + | 0.410066i | 0.795071 | + | 0.0140239i | ||||
\(856\) | 2.35616 | − | 4.08099i | 0.0805319 | − | 0.139485i | ||||
\(857\) | 17.3013 | − | 9.98890i | 0.591000 | − | 0.341214i | −0.174493 | − | 0.984658i | \(-0.555828\pi\) |
0.765493 | + | 0.643444i | \(0.222495\pi\) | |||||||
\(858\) | 14.0972 | + | 54.5304i | 0.481270 | + | 1.86164i | ||||
\(859\) | 2.15684 | − | 1.24525i | 0.0735903 | − | 0.0424874i | −0.462753 | − | 0.886487i | \(-0.653138\pi\) |
0.536344 | + | 0.844000i | \(0.319805\pi\) | |||||||
\(860\) | −3.71078 | −0.126536 | ||||||||
\(861\) | −10.6039 | − | 10.7925i | −0.361379 | − | 0.367809i | ||||
\(862\) | 3.62647 | − | 6.28123i | 0.123518 | − | 0.213939i | ||||
\(863\) | −2.86348 | − | 4.95970i | −0.0974741 | − | 0.168830i | 0.813164 | − | 0.582034i | \(-0.197743\pi\) |
−0.910639 | + | 0.413204i | \(0.864410\pi\) | |||||||
\(864\) | 3.77014 | − | 3.57576i | 0.128263 | − | 0.121650i | ||||
\(865\) | 3.39094 | − | 5.87328i | 0.115295 | − | 0.199698i | ||||
\(866\) | 19.0811 | 0.648401 | ||||||||
\(867\) | −21.5580 | − | 5.98068i | −0.732147 | − | 0.203115i | ||||
\(868\) | 14.0910 | + | 13.3364i | 0.478279 | + | 0.452667i | ||||
\(869\) | 38.7108i | 1.31317i | ||||||||
\(870\) | −10.5995 | − | 2.94054i | −0.359355 | − | 0.0996935i | ||||
\(871\) | 38.0815 | + | 21.9864i | 1.29034 | + | 0.744979i | ||||
\(872\) | 7.92947i | 0.268526i | ||||||||
\(873\) | 0.273239 | − | 15.4909i | 0.00924773 | − | 0.524289i | ||||
\(874\) | −49.8084 | − | 28.7569i | −1.68480 | − | 0.972717i | ||||
\(875\) | −3.01775 | − | 1.74230i | −0.102019 | − | 0.0589005i | ||||
\(876\) | 4.18088 | − | 15.0704i | 0.141259 | − | 0.509181i | ||||
\(877\) | −16.6119 | − | 28.7726i | −0.560943 | − | 0.971582i | −0.997414 | − | 0.0718639i | \(-0.977105\pi\) |
0.436471 | − | 0.899718i | \(-0.356228\pi\) | |||||||
\(878\) | −29.1048 | + | 16.8037i | −0.982240 | + | 0.567096i | ||||
\(879\) | 3.04366 | − | 0.786847i | 0.102660 | − | 0.0265397i | ||||
\(880\) | 3.95691 | + | 2.28452i | 0.133388 | + | 0.0770113i | ||||
\(881\) | 0.720751 | + | 1.24838i | 0.0242827 | + | 0.0420589i | 0.877911 | − | 0.478823i | \(-0.158936\pi\) |
−0.853629 | + | 0.520882i | \(0.825603\pi\) | |||||||
\(882\) | 7.47683 | + | 13.4944i | 0.251758 | + | 0.454380i | ||||
\(883\) | − | 17.4463i | − | 0.587116i | −0.955941 | − | 0.293558i | \(-0.905161\pi\) | ||
0.955941 | − | 0.293558i | \(-0.0948393\pi\) | |||||||
\(884\) | − | 14.3818i | − | 0.483711i | ||||||
\(885\) | −10.2859 | + | 10.1061i | −0.345757 | + | 0.339712i | ||||
\(886\) | −4.00128 | − | 6.93043i | −0.134426 | − | 0.232832i | ||||
\(887\) | 33.7458 | + | 19.4831i | 1.13307 | + | 0.654180i | 0.944706 | − | 0.327919i | \(-0.106347\pi\) |
0.188367 | + | 0.982099i | \(0.439681\pi\) | |||||||
\(888\) | −3.86161 | − | 14.9374i | −0.129587 | − | 0.501265i | ||||
\(889\) | 7.06733 | − | 4.08033i | 0.237031 | − | 0.136850i | ||||
\(890\) | 1.87058 | + | 3.23994i | 0.0627020 | + | 0.108603i | ||||
\(891\) | 19.2920 | + | 36.3152i | 0.646307 | + | 1.21660i | ||||
\(892\) | −4.09323 | − | 2.36323i | −0.137051 | − | 0.0791266i | ||||
\(893\) | −39.8354 | − | 22.9990i | −1.33304 | − | 0.769631i | ||||
\(894\) | −5.02251 | − | 19.4280i | −0.167978 | − | 0.649768i | ||||
\(895\) | 19.9078i | 0.665445i | ||||||||
\(896\) | −3.01775 | − | 1.74230i | −0.100816 | − | 0.0582062i | ||||
\(897\) | 24.4535 | − | 88.1449i | 0.816477 | − | 2.94307i | ||||
\(898\) | 20.3595i | 0.679405i | ||||||||
\(899\) | −8.20894 | + | 34.3933i | −0.273783 | + | 1.14708i | ||||
\(900\) | 2.57122 | + | 1.54559i | 0.0857073 | + | 0.0515195i | ||||
\(901\) | −20.6076 | −0.686539 | ||||||||
\(902\) | −5.72697 | + | 9.91941i | −0.190687 | + | 0.330280i | ||||
\(903\) | −5.98716 | + | 21.5813i | −0.199240 | + | 0.718181i | ||||
\(904\) | 3.77475 | + | 6.53805i | 0.125546 | + | 0.217452i | ||||
\(905\) | −0.295013 | + | 0.510977i | −0.00980655 | + | 0.0169854i | ||||
\(906\) | 4.02290 | − | 3.95256i | 0.133652 | − | 0.131315i | ||||
\(907\) | −16.4320 | −0.545616 | −0.272808 | − | 0.962068i | \(-0.587952\pi\) | ||||
−0.272808 | + | 0.962068i | \(0.587952\pi\) | |||||||
\(908\) | 1.98836 | − | 1.14798i | 0.0659861 | − | 0.0380971i | ||||
\(909\) | 40.0653 | + | 0.706696i | 1.32888 | + | 0.0234396i | ||||
\(910\) | 21.4775 | − | 12.4000i | 0.711973 | − | 0.411058i | ||||
\(911\) | −9.31914 | + | 16.1412i | −0.308757 | + | 0.534783i | −0.978091 | − | 0.208179i | \(-0.933246\pi\) |
0.669334 | + | 0.742962i | \(0.266580\pi\) | |||||||
\(912\) | 3.36002 | + | 12.9971i | 0.111261 | + | 0.430378i | ||||
\(913\) | −20.7715 | + | 35.9772i | −0.687435 | + | 1.19067i | ||||
\(914\) | −11.2885 | −0.373389 | ||||||||
\(915\) | 3.39112 | + | 0.940776i | 0.112107 | + | 0.0311011i | ||||
\(916\) | −18.1482 | − | 10.4779i | −0.599633 | − | 0.346198i | ||||
\(917\) | −33.6501 | + | 19.4279i | −1.11122 | + | 0.641565i | ||||
\(918\) | −2.44839 | − | 10.2107i | −0.0808090 | − | 0.337002i | ||||
\(919\) | 25.9040 | + | 44.8671i | 0.854495 | + | 1.48003i | 0.877113 | + | 0.480285i | \(0.159467\pi\) |
−0.0226174 | + | 0.999744i | \(0.507200\pi\) | |||||||
\(920\) | −3.71028 | − | 6.42639i | −0.122324 | − | 0.211872i | ||||
\(921\) | −9.64311 | − | 37.3013i | −0.317751 | − | 1.22912i | ||||
\(922\) | − | 16.9753i | − | 0.559050i | ||||||
\(923\) | −9.31290 | + | 16.1304i | −0.306538 | + | 0.530939i | ||||
\(924\) | 19.6707 | − | 19.3268i | 0.647120 | − | 0.635806i | ||||
\(925\) | 7.71423 | − | 4.45381i | 0.253642 | − | 0.146440i | ||||
\(926\) | −7.96544 | −0.261761 | ||||||||
\(927\) | −28.3439 | + | 15.7045i | −0.930936 | + | 0.515803i | ||||
\(928\) | − | 6.35073i | − | 0.208473i | ||||||
\(929\) | −25.7853 | −0.845990 | −0.422995 | − | 0.906132i | \(-0.639021\pi\) | ||||
−0.422995 | + | 0.906132i | \(0.639021\pi\) | |||||||
\(930\) | 4.66494 | − | 8.44028i | 0.152969 | − | 0.276768i | ||||
\(931\) | −39.8570 | −1.30626 | ||||||||
\(932\) | 20.5404i | 0.672822i | ||||||||
\(933\) | 9.59134 | + | 9.76201i | 0.314006 | + | 0.319594i | ||||
\(934\) | −17.5704 | −0.574923 | ||||||||
\(935\) | 7.99592 | − | 4.61645i | 0.261495 | − | 0.150974i | ||||
\(936\) | −18.6761 | + | 10.3478i | −0.610446 | + | 0.338229i | ||||
\(937\) | −20.7134 | + | 35.8767i | −0.676679 | + | 1.17204i | 0.299296 | + | 0.954160i | \(0.403248\pi\) |
−0.975975 | + | 0.217882i | \(0.930085\pi\) | |||||||
\(938\) | − | 21.5296i | − | 0.702966i | ||||||
\(939\) | −50.8917 | + | 13.1565i | −1.66079 | + | 0.429346i | ||||
\(940\) | −2.96738 | − | 5.13965i | −0.0967852 | − | 0.167637i | ||||
\(941\) | −29.2558 | − | 50.6725i | −0.953711 | − | 1.65188i | −0.737290 | − | 0.675576i | \(-0.763895\pi\) |
−0.216421 | − | 0.976300i | \(-0.569438\pi\) | |||||||
\(942\) | −10.5049 | − | 10.6918i | −0.342267 | − | 0.348357i | ||||
\(943\) | 16.1100 | − | 9.30113i | 0.524615 | − | 0.302887i | ||||
\(944\) | −7.20993 | − | 4.16265i | −0.234663 | − | 0.135483i | ||||
\(945\) | 13.1374 | − | 12.4601i | 0.427361 | − | 0.405327i | ||||
\(946\) | 16.9547 | 0.551246 | ||||||||
\(947\) | −3.87757 | + | 6.71615i | −0.126004 | + | 0.218246i | −0.922125 | − | 0.386892i | \(-0.873549\pi\) |
0.796121 | + | 0.605138i | \(0.206882\pi\) | |||||||
\(948\) | −14.2075 | + | 3.67292i | −0.461439 | + | 0.119291i | ||||
\(949\) | −32.1318 | + | 55.6539i | −1.04304 | + | 1.80660i | ||||
\(950\) | −6.71222 | + | 3.87530i | −0.217773 | + | 0.125731i | ||||
\(951\) | −3.94498 | + | 1.01985i | −0.127925 | + | 0.0330710i | ||||
\(952\) | −6.09811 | + | 3.52075i | −0.197641 | + | 0.114108i | ||||
\(953\) | 27.8491 | 0.902120 | 0.451060 | − | 0.892494i | \(-0.351046\pi\) | ||||
0.451060 | + | 0.892494i | \(0.351046\pi\) | |||||||
\(954\) | 14.8274 | + | 26.7609i | 0.480054 | + | 0.866415i | ||||
\(955\) | −0.0192195 | + | 0.0332892i | −0.000621930 | + | 0.00107721i | ||||
\(956\) | −3.71386 | − | 6.43260i | −0.120115 | − | 0.208045i | ||||
\(957\) | 48.4294 | + | 13.4355i | 1.56550 | + | 0.434307i | ||||
\(958\) | −20.0582 | + | 34.7418i | −0.648050 | + | 1.12246i | ||||
\(959\) | −28.7053 | −0.926942 | ||||||||
\(960\) | −0.463024 | + | 1.66901i | −0.0149440 | + | 0.0538672i | ||||
\(961\) | −27.6584 | − | 14.0005i | −0.892206 | − | 0.451629i | ||||
\(962\) | 63.3961i | 2.04397i | ||||||||
\(963\) | −7.28330 | + | 12.1164i | −0.234701 | + | 0.390446i | ||||
\(964\) | −19.2359 | − | 11.1059i | −0.619547 | − | 0.357696i | ||||
\(965\) | 1.65336i | 0.0532235i | ||||||||
\(966\) | −43.3613 | + | 11.2097i | −1.39513 | + | 0.360668i | ||||
\(967\) | −13.1444 | − | 7.58893i | −0.422696 | − | 0.244043i | 0.273534 | − | 0.961862i | \(-0.411807\pi\) |
−0.696230 | + | 0.717819i | \(0.745141\pi\) | |||||||
\(968\) | −8.55305 | − | 4.93811i | −0.274906 | − | 0.158717i | ||||
\(969\) | 26.1401 | + | 7.25188i | 0.839741 | + | 0.232964i | ||||
\(970\) | 2.58223 | + | 4.47255i | 0.0829103 | + | 0.143605i | ||||
\(971\) | −25.4154 | + | 14.6736i | −0.815619 | + | 0.470898i | −0.848903 | − | 0.528548i | \(-0.822737\pi\) |
0.0332846 | + | 0.999446i | \(0.489403\pi\) | |||||||
\(972\) | −11.4978 | + | 10.5261i | −0.368794 | + | 0.337626i | ||||
\(973\) | 23.2229 | + | 13.4078i | 0.744493 | + | 0.429833i | ||||
\(974\) | −6.48275 | − | 11.2285i | −0.207721 | − | 0.359783i | ||||
\(975\) | −8.63938 | − | 8.79311i | −0.276681 | − | 0.281605i | ||||
\(976\) | 2.03181i | 0.0650367i | ||||||||
\(977\) | − | 12.5882i | − | 0.402731i | −0.979516 | − | 0.201366i | \(-0.935462\pi\) | ||
0.979516 | − | 0.201366i | \(-0.0645379\pi\) | |||||||
\(978\) | −12.7635 | − | 12.9906i | −0.408132 | − | 0.415395i | ||||
\(979\) | −8.54677 | − | 14.8034i | −0.273156 | − | 0.473120i | ||||
\(980\) | −4.45348 | − | 2.57122i | −0.142261 | − | 0.0821346i | ||||
\(981\) | 0.419529 | − | 23.7847i | 0.0133945 | − | 0.759388i | ||||
\(982\) | 9.57967 | − | 5.53082i | 0.305700 | − | 0.176496i | ||||
\(983\) | −22.8887 | − | 39.6444i | −0.730036 | − | 1.26446i | −0.956867 | − | 0.290525i | \(-0.906170\pi\) |
0.226832 | − | 0.973934i | \(-0.427163\pi\) | |||||||
\(984\) | −4.18398 | − | 1.16073i | −0.133380 | − | 0.0370028i | ||||
\(985\) | 9.73359 | + | 5.61969i | 0.310138 | + | 0.179058i | ||||
\(986\) | −11.1139 | − | 6.41661i | −0.353938 | − | 0.204346i | ||||
\(987\) | −34.6791 | + | 8.96524i | −1.10385 | + | 0.285367i | ||||
\(988\) | − | 55.1615i | − | 1.75492i | ||||||
\(989\) | −23.8469 | − | 13.7680i | −0.758288 | − | 0.437798i | ||||
\(990\) | −11.7480 | − | 7.06186i | −0.373377 | − | 0.224441i | ||||
\(991\) | 53.5869i | 1.70224i | 0.524967 | + | 0.851122i | \(0.324078\pi\) | ||||
−0.524967 | + | 0.851122i | \(0.675922\pi\) | |||||||
\(992\) | 5.41564 | + | 1.29260i | 0.171947 | + | 0.0410400i | ||||
\(993\) | −15.4781 | + | 55.7923i | −0.491182 | + | 1.77052i | ||||
\(994\) | 9.11942 | 0.289251 | ||||||||
\(995\) | 6.52959 | − | 11.3096i | 0.207002 | − | 0.358538i | ||||
\(996\) | −15.1751 | − | 4.20993i | −0.480841 | − | 0.133397i | ||||
\(997\) | −25.7953 | − | 44.6787i | −0.816945 | − | 1.41499i | −0.907923 | − | 0.419137i | \(-0.862333\pi\) |
0.0909780 | − | 0.995853i | \(-0.471001\pi\) | |||||||
\(998\) | −12.0750 | + | 20.9146i | −0.382228 | + | 0.662039i | ||||
\(999\) | 10.7927 | + | 45.0095i | 0.341466 | + | 1.42404i |
(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.o.e.491.3 | yes | 40 | |
3.2 | odd | 2 | inner | 930.2.o.e.491.16 | yes | 40 | |
31.6 | odd | 6 | inner | 930.2.o.e.161.6 | ✓ | 40 | |
93.68 | even | 6 | inner | 930.2.o.e.161.13 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.o.e.161.6 | ✓ | 40 | 31.6 | odd | 6 | inner | |
930.2.o.e.161.13 | yes | 40 | 93.68 | even | 6 | inner | |
930.2.o.e.491.3 | yes | 40 | 1.1 | even | 1 | trivial | |
930.2.o.e.491.16 | yes | 40 | 3.2 | odd | 2 | inner |