Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.4 | ||
Character | \(\chi\) | \(=\) | 370.103 |
Dual form | 370.2.q.f.97.4 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −0.418603 | − | 1.56225i | −0.241680 | − | 0.901964i | −0.975023 | − | 0.222104i | \(-0.928707\pi\) |
0.733342 | − | 0.679859i | \(-0.237959\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −2.09367 | + | 0.785216i | −0.936316 | + | 0.351159i | ||||
\(6\) | 1.14364 | − | 1.14364i | 0.466891 | − | 0.466891i | ||||
\(7\) | −0.298699 | − | 1.11476i | −0.112898 | − | 0.421340i | 0.886223 | − | 0.463258i | \(-0.153320\pi\) |
−0.999121 | + | 0.0419183i | \(0.986653\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0.332689 | − | 0.192078i | 0.110896 | − | 0.0640260i | ||||
\(10\) | −1.72685 | − | 1.42056i | −0.546078 | − | 0.449220i | ||||
\(11\) | − | 5.41958i | − | 1.63406i | −0.576592 | − | 0.817032i | \(-0.695618\pi\) | ||
0.576592 | − | 0.817032i | \(-0.304382\pi\) | |||||||
\(12\) | 1.56225 | + | 0.418603i | 0.450982 | + | 0.120840i | ||||
\(13\) | 2.03941 | − | 3.53236i | 0.565630 | − | 0.979700i | −0.431361 | − | 0.902179i | \(-0.641966\pi\) |
0.996991 | − | 0.0775203i | \(-0.0247003\pi\) | |||||||
\(14\) | 0.816061 | − | 0.816061i | 0.218102 | − | 0.218102i | ||||
\(15\) | 2.10312 | + | 2.94213i | 0.543022 | + | 0.759654i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.37280 | − | 1.94729i | 0.818025 | − | 0.472287i | −0.0317102 | − | 0.999497i | \(-0.510095\pi\) |
0.849735 | + | 0.527210i | \(0.176762\pi\) | |||||||
\(18\) | 0.332689 | + | 0.192078i | 0.0784156 | + | 0.0452732i | ||||
\(19\) | −5.80123 | + | 1.55443i | −1.33089 | + | 0.356612i | −0.853048 | − | 0.521833i | \(-0.825249\pi\) |
−0.477845 | + | 0.878444i | \(0.658582\pi\) | |||||||
\(20\) | 0.366816 | − | 2.20578i | 0.0820225 | − | 0.493226i | ||||
\(21\) | −1.61650 | + | 0.933284i | −0.352748 | + | 0.203659i | ||||
\(22\) | 4.69349 | − | 2.70979i | 1.00066 | − | 0.577729i | ||||
\(23\) | 0.383468 | 0.0799586 | 0.0399793 | − | 0.999201i | \(-0.487271\pi\) | ||||
0.0399793 | + | 0.999201i | \(0.487271\pi\) | |||||||
\(24\) | 0.418603 | + | 1.56225i | 0.0854469 | + | 0.318892i | ||||
\(25\) | 3.76687 | − | 3.28796i | 0.753374 | − | 0.657592i | ||||
\(26\) | 4.07882 | 0.799922 | ||||||||
\(27\) | −3.87027 | − | 3.87027i | −0.744834 | − | 0.744834i | ||||
\(28\) | 1.11476 | + | 0.298699i | 0.210670 | + | 0.0564488i | ||||
\(29\) | −5.82137 | + | 5.82137i | −1.08100 | + | 1.08100i | −0.0845860 | + | 0.996416i | \(0.526957\pi\) |
−0.996416 | + | 0.0845860i | \(0.973043\pi\) | |||||||
\(30\) | −1.49640 | + | 3.29242i | −0.273204 | + | 0.601110i | ||||
\(31\) | −3.43124 | − | 3.43124i | −0.616269 | − | 0.616269i | 0.328304 | − | 0.944572i | \(-0.393523\pi\) |
−0.944572 | + | 0.328304i | \(0.893523\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −8.46672 | + | 2.26865i | −1.47387 | + | 0.394922i | ||||
\(34\) | 3.37280 | + | 1.94729i | 0.578431 | + | 0.333957i | ||||
\(35\) | 1.50070 | + | 2.09939i | 0.253665 | + | 0.354862i | ||||
\(36\) | 0.384156i | 0.0640260i | ||||||||
\(37\) | 5.44223 | − | 2.71702i | 0.894696 | − | 0.446675i | ||||
\(38\) | −4.24679 | − | 4.24679i | −0.688921 | − | 0.688921i | ||||
\(39\) | −6.37212 | − | 1.70740i | −1.02036 | − | 0.273403i | ||||
\(40\) | 2.09367 | − | 0.785216i | 0.331038 | − | 0.124154i | ||||
\(41\) | 7.78143 | + | 4.49261i | 1.21526 | + | 0.701628i | 0.963899 | − | 0.266267i | \(-0.0857901\pi\) |
0.251356 | + | 0.967895i | \(0.419123\pi\) | |||||||
\(42\) | −1.61650 | − | 0.933284i | −0.249431 | − | 0.144009i | ||||
\(43\) | 1.57247 | 0.239799 | 0.119899 | − | 0.992786i | \(-0.461743\pi\) | ||||
0.119899 | + | 0.992786i | \(0.461743\pi\) | |||||||
\(44\) | 4.69349 | + | 2.70979i | 0.707571 | + | 0.408516i | ||||
\(45\) | −0.545717 | + | 0.663380i | −0.0813507 | + | 0.0988909i | ||||
\(46\) | 0.191734 | + | 0.332093i | 0.0282696 | + | 0.0489644i | ||||
\(47\) | −3.06744 | + | 3.06744i | −0.447432 | + | 0.447432i | −0.894500 | − | 0.447068i | \(-0.852468\pi\) |
0.447068 | + | 0.894500i | \(0.352468\pi\) | |||||||
\(48\) | −1.14364 | + | 1.14364i | −0.165071 | + | 0.165071i | ||||
\(49\) | 4.90871 | − | 2.83404i | 0.701244 | − | 0.404863i | ||||
\(50\) | 4.73089 | + | 1.61823i | 0.669049 | + | 0.228852i | ||||
\(51\) | −4.45401 | − | 4.45401i | −0.623686 | − | 0.623686i | ||||
\(52\) | 2.03941 | + | 3.53236i | 0.282815 | + | 0.489850i | ||||
\(53\) | −2.04146 | + | 7.61884i | −0.280416 | + | 1.04653i | 0.671708 | + | 0.740816i | \(0.265561\pi\) |
−0.952124 | + | 0.305712i | \(0.901106\pi\) | |||||||
\(54\) | 1.41662 | − | 5.28689i | 0.192777 | − | 0.719454i | ||||
\(55\) | 4.25554 | + | 11.3468i | 0.573817 | + | 1.53000i | ||||
\(56\) | 0.298699 | + | 1.11476i | 0.0399154 | + | 0.148966i | ||||
\(57\) | 4.85682 | + | 8.41226i | 0.643302 | + | 1.11423i | ||||
\(58\) | −7.95215 | − | 2.13077i | −1.04417 | − | 0.279784i | ||||
\(59\) | −2.84475 | + | 10.6168i | −0.370355 | + | 1.38218i | 0.489659 | + | 0.871914i | \(0.337121\pi\) |
−0.860014 | + | 0.510270i | \(0.829546\pi\) | |||||||
\(60\) | −3.59952 | + | 0.350287i | −0.464696 | + | 0.0452219i | ||||
\(61\) | −8.58880 | + | 2.30136i | −1.09968 | + | 0.294659i | −0.762635 | − | 0.646829i | \(-0.776095\pi\) |
−0.337047 | + | 0.941488i | \(0.609428\pi\) | |||||||
\(62\) | 1.25592 | − | 4.68716i | 0.159502 | − | 0.595270i | ||||
\(63\) | −0.313495 | − | 0.313495i | −0.0394967 | − | 0.0394967i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −1.49617 | + | 8.99695i | −0.185578 | + | 1.11593i | ||||
\(66\) | −6.19807 | − | 6.19807i | −0.762930 | − | 0.762930i | ||||
\(67\) | 10.0190 | − | 2.68457i | 1.22401 | − | 0.327973i | 0.411766 | − | 0.911290i | \(-0.364912\pi\) |
0.812245 | + | 0.583317i | \(0.198245\pi\) | |||||||
\(68\) | 3.89458i | 0.472287i | ||||||||
\(69\) | −0.160521 | − | 0.599071i | −0.0193244 | − | 0.0721197i | ||||
\(70\) | −1.06778 | + | 2.34934i | −0.127624 | + | 0.280800i | ||||
\(71\) | 2.42276 | − | 4.19634i | 0.287528 | − | 0.498013i | −0.685691 | − | 0.727893i | \(-0.740500\pi\) |
0.973219 | + | 0.229879i | \(0.0738332\pi\) | |||||||
\(72\) | −0.332689 | + | 0.192078i | −0.0392078 | + | 0.0226366i | ||||
\(73\) | 9.61059 | − | 9.61059i | 1.12483 | − | 1.12483i | 0.133830 | − | 0.991004i | \(-0.457272\pi\) |
0.991004 | − | 0.133830i | \(-0.0427275\pi\) | |||||||
\(74\) | 5.07412 | + | 3.35460i | 0.589854 | + | 0.389964i | ||||
\(75\) | −6.71343 | − | 4.50843i | −0.775200 | − | 0.520589i | ||||
\(76\) | 1.55443 | − | 5.80123i | 0.178306 | − | 0.665446i | ||||
\(77\) | −6.04153 | + | 1.61882i | −0.688497 | + | 0.184482i | ||||
\(78\) | −1.70740 | − | 6.37212i | −0.193325 | − | 0.721500i | ||||
\(79\) | 8.53421 | − | 2.28673i | 0.960174 | − | 0.257278i | 0.255500 | − | 0.966809i | \(-0.417760\pi\) |
0.704674 | + | 0.709531i | \(0.251093\pi\) | |||||||
\(80\) | 1.72685 | + | 1.42056i | 0.193068 | + | 0.158823i | ||||
\(81\) | −3.84998 | + | 6.66836i | −0.427775 | + | 0.740929i | ||||
\(82\) | 8.98522i | 0.992252i | ||||||||
\(83\) | 3.22265 | − | 12.0271i | 0.353731 | − | 1.32014i | −0.528342 | − | 0.849032i | \(-0.677186\pi\) |
0.882073 | − | 0.471112i | \(-0.156147\pi\) | |||||||
\(84\) | − | 1.86657i | − | 0.203659i | ||||||
\(85\) | −5.53248 | + | 6.72535i | −0.600081 | + | 0.729466i | ||||
\(86\) | 0.786233 | + | 1.36180i | 0.0847817 | + | 0.146846i | ||||
\(87\) | 11.5313 | + | 6.65758i | 1.23628 | + | 0.713768i | ||||
\(88\) | 5.41958i | 0.577729i | ||||||||
\(89\) | −14.3038 | − | 3.83268i | −1.51620 | − | 0.406264i | −0.597709 | − | 0.801713i | \(-0.703922\pi\) |
−0.918488 | + | 0.395449i | \(0.870589\pi\) | |||||||
\(90\) | −0.847362 | − | 0.140915i | −0.0893198 | − | 0.0148537i | ||||
\(91\) | −4.54690 | − | 1.21834i | −0.476645 | − | 0.127717i | ||||
\(92\) | −0.191734 | + | 0.332093i | −0.0199896 | + | 0.0346231i | ||||
\(93\) | −3.92412 | + | 6.79677i | −0.406912 | + | 0.704792i | ||||
\(94\) | −4.19020 | − | 1.12276i | −0.432186 | − | 0.115804i | ||||
\(95\) | 10.9253 | − | 7.80968i | 1.12091 | − | 0.801256i | ||||
\(96\) | −1.56225 | − | 0.418603i | −0.159446 | − | 0.0427235i | ||||
\(97\) | 4.38333i | 0.445060i | 0.974926 | + | 0.222530i | \(0.0714315\pi\) | ||||
−0.974926 | + | 0.222530i | \(0.928569\pi\) | |||||||
\(98\) | 4.90871 | + | 2.83404i | 0.495854 | + | 0.286282i | ||||
\(99\) | −1.04098 | − | 1.80304i | −0.104623 | − | 0.181212i | ||||
\(100\) | 0.964021 | + | 4.90619i | 0.0964021 | + | 0.490619i | ||||
\(101\) | 7.97874i | 0.793914i | 0.917837 | + | 0.396957i | \(0.129934\pi\) | ||||
−0.917837 | + | 0.396957i | \(0.870066\pi\) | |||||||
\(102\) | 1.63028 | − | 6.08429i | 0.161422 | − | 0.602434i | ||||
\(103\) | 4.69150i | 0.462267i | 0.972922 | + | 0.231134i | \(0.0742435\pi\) | ||||
−0.972922 | + | 0.231134i | \(0.925757\pi\) | |||||||
\(104\) | −2.03941 | + | 3.53236i | −0.199980 | + | 0.346376i | ||||
\(105\) | 2.65157 | − | 3.22328i | 0.258767 | − | 0.314560i | ||||
\(106\) | −7.61884 | + | 2.04146i | −0.740007 | + | 0.198284i | ||||
\(107\) | −0.868218 | − | 3.24023i | −0.0839338 | − | 0.313245i | 0.911176 | − | 0.412017i | \(-0.135175\pi\) |
−0.995110 | + | 0.0987714i | \(0.968509\pi\) | |||||||
\(108\) | 5.28689 | − | 1.41662i | 0.508731 | − | 0.136314i | ||||
\(109\) | 2.16115 | − | 8.06551i | 0.207000 | − | 0.772536i | −0.781830 | − | 0.623491i | \(-0.785714\pi\) |
0.988831 | − | 0.149044i | \(-0.0476197\pi\) | |||||||
\(110\) | −7.69884 | + | 9.35880i | −0.734055 | + | 0.892327i | ||||
\(111\) | −6.52278 | − | 7.36475i | −0.619115 | − | 0.699031i | ||||
\(112\) | −0.816061 | + | 0.816061i | −0.0771106 | + | 0.0771106i | ||||
\(113\) | 5.90335 | − | 3.40830i | 0.555340 | − | 0.320626i | −0.195933 | − | 0.980617i | \(-0.562773\pi\) |
0.751273 | + | 0.659992i | \(0.229440\pi\) | |||||||
\(114\) | −4.85682 | + | 8.41226i | −0.454883 | + | 0.787880i | ||||
\(115\) | −0.802853 | + | 0.301105i | −0.0748665 | + | 0.0280782i | ||||
\(116\) | −2.13077 | − | 7.95215i | −0.197837 | − | 0.738338i | ||||
\(117\) | − | 1.56690i | − | 0.144860i | ||||||
\(118\) | −10.6168 | + | 2.84475i | −0.977351 | + | 0.261881i | ||||
\(119\) | −3.17821 | − | 3.17821i | −0.291346 | − | 0.291346i | ||||
\(120\) | −2.10312 | − | 2.94213i | −0.191987 | − | 0.268578i | ||||
\(121\) | −18.3719 | −1.67017 | ||||||||
\(122\) | −6.28744 | − | 6.28744i | −0.569238 | − | 0.569238i | ||||
\(123\) | 3.76124 | − | 14.0371i | 0.339140 | − | 1.26569i | ||||
\(124\) | 4.68716 | − | 1.25592i | 0.420919 | − | 0.112785i | ||||
\(125\) | −5.30481 | + | 9.84170i | −0.474477 | + | 0.880268i | ||||
\(126\) | 0.114747 | − | 0.428242i | 0.0102225 | − | 0.0381508i | ||||
\(127\) | 1.49703 | + | 0.401127i | 0.132840 | + | 0.0355943i | 0.324626 | − | 0.945842i | \(-0.394761\pi\) |
−0.191787 | + | 0.981437i | \(0.561428\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −0.658239 | − | 2.45658i | −0.0579547 | − | 0.216290i | ||||
\(130\) | −8.53968 | + | 3.20275i | −0.748979 | + | 0.280900i | ||||
\(131\) | −3.77026 | + | 14.0708i | −0.329409 | + | 1.22937i | 0.580396 | + | 0.814334i | \(0.302898\pi\) |
−0.909805 | + | 0.415036i | \(0.863769\pi\) | |||||||
\(132\) | 2.26865 | − | 8.46672i | 0.197461 | − | 0.736934i | ||||
\(133\) | 3.46564 | + | 6.00267i | 0.300509 | + | 0.520498i | ||||
\(134\) | 7.33439 | + | 7.33439i | 0.633595 | + | 0.633595i | ||||
\(135\) | 11.1421 | + | 5.06405i | 0.958955 | + | 0.435844i | ||||
\(136\) | −3.37280 | + | 1.94729i | −0.289215 | + | 0.166979i | ||||
\(137\) | −8.51418 | + | 8.51418i | −0.727416 | + | 0.727416i | −0.970104 | − | 0.242689i | \(-0.921971\pi\) |
0.242689 | + | 0.970104i | \(0.421971\pi\) | |||||||
\(138\) | 0.438551 | − | 0.438551i | 0.0373319 | − | 0.0373319i | ||||
\(139\) | −5.04939 | − | 8.74580i | −0.428284 | − | 0.741809i | 0.568437 | − | 0.822727i | \(-0.307548\pi\) |
−0.996721 | + | 0.0809175i | \(0.974215\pi\) | |||||||
\(140\) | −2.56848 | + | 0.249952i | −0.217076 | + | 0.0211248i | ||||
\(141\) | 6.07614 | + | 3.50806i | 0.511703 | + | 0.295432i | ||||
\(142\) | 4.84551 | 0.406626 | ||||||||
\(143\) | −19.1439 | − | 11.0527i | −1.60089 | − | 0.924276i | ||||
\(144\) | −0.332689 | − | 0.192078i | −0.0277241 | − | 0.0160065i | ||||
\(145\) | 7.61698 | − | 16.7590i | 0.632555 | − | 1.39176i | ||||
\(146\) | 13.1283 | + | 3.51772i | 1.08651 | + | 0.291128i | ||||
\(147\) | −6.48228 | − | 6.48228i | −0.534649 | − | 0.534649i | ||||
\(148\) | −0.368107 | + | 6.07161i | −0.0302582 | + | 0.499084i | ||||
\(149\) | − | 7.20201i | − | 0.590012i | −0.955495 | − | 0.295006i | \(-0.904678\pi\) | ||
0.955495 | − | 0.295006i | \(-0.0953216\pi\) | |||||||
\(150\) | 0.547705 | − | 8.06822i | 0.0447199 | − | 0.658767i | ||||
\(151\) | 5.82441 | + | 3.36272i | 0.473984 | + | 0.273655i | 0.717906 | − | 0.696140i | \(-0.245101\pi\) |
−0.243922 | + | 0.969795i | \(0.578434\pi\) | |||||||
\(152\) | 5.80123 | − | 1.55443i | 0.470542 | − | 0.126081i | ||||
\(153\) | 0.748063 | − | 1.29568i | 0.0604773 | − | 0.104750i | ||||
\(154\) | −4.42271 | − | 4.42271i | −0.356392 | − | 0.356392i | ||||
\(155\) | 9.87813 | + | 4.48960i | 0.793430 | + | 0.360614i | ||||
\(156\) | 4.66471 | − | 4.66471i | 0.373476 | − | 0.373476i | ||||
\(157\) | 12.8692 | + | 3.44829i | 1.02707 | + | 0.275204i | 0.732747 | − | 0.680501i | \(-0.238238\pi\) |
0.294327 | + | 0.955705i | \(0.404905\pi\) | |||||||
\(158\) | 6.24748 | + | 6.24748i | 0.497022 | + | 0.497022i | ||||
\(159\) | 12.7571 | 1.01170 | ||||||||
\(160\) | −0.366816 | + | 2.20578i | −0.0289993 | + | 0.174382i | ||||
\(161\) | −0.114542 | − | 0.427475i | −0.00902714 | − | 0.0336897i | ||||
\(162\) | −7.69996 | −0.604966 | ||||||||
\(163\) | 3.89013 | − | 2.24597i | 0.304699 | − | 0.175918i | −0.339853 | − | 0.940479i | \(-0.610377\pi\) |
0.644552 | + | 0.764561i | \(0.277044\pi\) | |||||||
\(164\) | −7.78143 | + | 4.49261i | −0.607628 | + | 0.350814i | ||||
\(165\) | 15.9451 | − | 11.3980i | 1.24132 | − | 0.887333i | ||||
\(166\) | 12.0271 | − | 3.22265i | 0.933483 | − | 0.250126i | ||||
\(167\) | 3.82275 | + | 2.20707i | 0.295813 | + | 0.170788i | 0.640561 | − | 0.767908i | \(-0.278702\pi\) |
−0.344747 | + | 0.938696i | \(0.612035\pi\) | |||||||
\(168\) | 1.61650 | − | 0.933284i | 0.124715 | − | 0.0720044i | ||||
\(169\) | −1.81837 | − | 3.14951i | −0.139874 | − | 0.242270i | ||||
\(170\) | −8.59056 | − | 1.42859i | −0.658866 | − | 0.109568i | ||||
\(171\) | −1.63143 | + | 1.63143i | −0.124759 | + | 0.124759i | ||||
\(172\) | −0.786233 | + | 1.36180i | −0.0599497 | + | 0.103836i | ||||
\(173\) | 19.6886 | + | 5.27554i | 1.49690 | + | 0.401092i | 0.912059 | − | 0.410058i | \(-0.134492\pi\) |
0.584837 | + | 0.811151i | \(0.301158\pi\) | |||||||
\(174\) | 13.3152i | 1.00942i | ||||||||
\(175\) | −4.79045 | − | 3.21705i | −0.362124 | − | 0.243186i | ||||
\(176\) | −4.69349 | + | 2.70979i | −0.353785 | + | 0.204258i | ||||
\(177\) | 17.7768 | 1.33619 | ||||||||
\(178\) | −3.83268 | − | 14.3038i | −0.287272 | − | 1.07211i | ||||
\(179\) | 14.7689 | − | 14.7689i | 1.10388 | − | 1.10388i | 0.109943 | − | 0.993938i | \(-0.464933\pi\) |
0.993938 | − | 0.109943i | \(-0.0350667\pi\) | |||||||
\(180\) | −0.301646 | − | 0.804295i | −0.0224833 | − | 0.0599486i | ||||
\(181\) | −2.80922 | + | 4.86571i | −0.208808 | + | 0.361665i | −0.951339 | − | 0.308146i | \(-0.900292\pi\) |
0.742532 | + | 0.669811i | \(0.233625\pi\) | |||||||
\(182\) | −1.21834 | − | 4.54690i | −0.0903093 | − | 0.337039i | ||||
\(183\) | 7.19059 | + | 12.4545i | 0.531544 | + | 0.920661i | ||||
\(184\) | −0.383468 | −0.0282696 | ||||||||
\(185\) | −9.26076 | + | 9.96185i | −0.680864 | + | 0.732410i | ||||
\(186\) | −7.84823 | −0.575460 | ||||||||
\(187\) | −10.5535 | − | 18.2792i | −0.771747 | − | 1.33671i | ||||
\(188\) | −1.12276 | − | 4.19020i | −0.0818857 | − | 0.305602i | ||||
\(189\) | −3.15838 | + | 5.47047i | −0.229738 | + | 0.397918i | ||||
\(190\) | 12.2260 | + | 5.55672i | 0.886968 | + | 0.403126i | ||||
\(191\) | 6.46180 | − | 6.46180i | 0.467559 | − | 0.467559i | −0.433564 | − | 0.901123i | \(-0.642744\pi\) |
0.901123 | + | 0.433564i | \(0.142744\pi\) | |||||||
\(192\) | −0.418603 | − | 1.56225i | −0.0302101 | − | 0.112745i | ||||
\(193\) | 10.6806 | 0.768808 | 0.384404 | − | 0.923165i | \(-0.374407\pi\) | ||||
0.384404 | + | 0.923165i | \(0.374407\pi\) | |||||||
\(194\) | −3.79607 | + | 2.19166i | −0.272542 | + | 0.157352i | ||||
\(195\) | 14.6818 | − | 1.42876i | 1.05138 | − | 0.102315i | ||||
\(196\) | 5.66809i | 0.404863i | ||||||||
\(197\) | −1.67820 | − | 0.449673i | −0.119567 | − | 0.0320379i | 0.198539 | − | 0.980093i | \(-0.436380\pi\) |
−0.318106 | + | 0.948055i | \(0.603047\pi\) | |||||||
\(198\) | 1.04098 | − | 1.80304i | 0.0739794 | − | 0.128136i | ||||
\(199\) | 10.8607 | − | 10.8607i | 0.769891 | − | 0.769891i | −0.208196 | − | 0.978087i | \(-0.566759\pi\) |
0.978087 | + | 0.208196i | \(0.0667591\pi\) | |||||||
\(200\) | −3.76687 | + | 3.28796i | −0.266358 | + | 0.232494i | ||||
\(201\) | −8.38793 | − | 14.5283i | −0.591639 | − | 1.02475i | ||||
\(202\) | −6.90979 | + | 3.98937i | −0.486171 | + | 0.280691i | ||||
\(203\) | 8.22828 | + | 4.75060i | 0.577512 | + | 0.333427i | ||||
\(204\) | 6.08429 | − | 1.63028i | 0.425985 | − | 0.114142i | ||||
\(205\) | −19.8194 | − | 3.29592i | −1.38425 | − | 0.230197i | ||||
\(206\) | −4.06296 | + | 2.34575i | −0.283080 | + | 0.163436i | ||||
\(207\) | 0.127576 | − | 0.0736558i | 0.00886711 | − | 0.00511943i | ||||
\(208\) | −4.07882 | −0.282815 | ||||||||
\(209\) | 8.42438 | + | 31.4402i | 0.582727 | + | 2.17477i | ||||
\(210\) | 4.11723 | + | 0.684687i | 0.284116 | + | 0.0472479i | ||||
\(211\) | 15.7228 | 1.08240 | 0.541200 | − | 0.840894i | \(-0.317970\pi\) | ||||
0.541200 | + | 0.840894i | \(0.317970\pi\) | |||||||
\(212\) | −5.57738 | − | 5.57738i | −0.383056 | − | 0.383056i | ||||
\(213\) | −7.56989 | − | 2.02834i | −0.518680 | − | 0.138980i | ||||
\(214\) | 2.37202 | − | 2.37202i | 0.162148 | − | 0.162148i | ||||
\(215\) | −3.29222 | + | 1.23473i | −0.224528 | + | 0.0842076i | ||||
\(216\) | 3.87027 | + | 3.87027i | 0.263339 | + | 0.263339i | ||||
\(217\) | −2.80010 | + | 4.84992i | −0.190083 | + | 0.329234i | ||||
\(218\) | 8.06551 | − | 2.16115i | 0.546265 | − | 0.146371i | ||||
\(219\) | −19.0371 | − | 10.9911i | −1.28641 | − | 0.742709i | ||||
\(220\) | −11.9544 | − | 1.98799i | −0.805964 | − | 0.134030i | ||||
\(221\) | − | 15.8853i | − | 1.06856i | ||||||
\(222\) | 3.11667 | − | 9.33127i | 0.209177 | − | 0.626274i | ||||
\(223\) | −7.88096 | − | 7.88096i | −0.527748 | − | 0.527748i | 0.392152 | − | 0.919900i | \(-0.371731\pi\) |
−0.919900 | + | 0.392152i | \(0.871731\pi\) | |||||||
\(224\) | −1.11476 | − | 0.298699i | −0.0744831 | − | 0.0199577i | ||||
\(225\) | 0.621652 | − | 1.81740i | 0.0414435 | − | 0.121160i | ||||
\(226\) | 5.90335 | + | 3.40830i | 0.392685 | + | 0.226717i | ||||
\(227\) | 3.07951 | + | 1.77796i | 0.204394 | + | 0.118007i | 0.598704 | − | 0.800971i | \(-0.295683\pi\) |
−0.394309 | + | 0.918978i | \(0.629016\pi\) | |||||||
\(228\) | −9.71364 | −0.643302 | ||||||||
\(229\) | 11.7656 | + | 6.79287i | 0.777492 | + | 0.448885i | 0.835541 | − | 0.549428i | \(-0.185154\pi\) |
−0.0580484 | + | 0.998314i | \(0.518488\pi\) | |||||||
\(230\) | −0.662191 | − | 0.544739i | −0.0436636 | − | 0.0359190i | ||||
\(231\) | 5.05801 | + | 8.76072i | 0.332792 | + | 0.576413i | ||||
\(232\) | 5.82137 | − | 5.82137i | 0.382192 | − | 0.382192i | ||||
\(233\) | −7.60963 | + | 7.60963i | −0.498523 | + | 0.498523i | −0.910978 | − | 0.412455i | \(-0.864672\pi\) |
0.412455 | + | 0.910978i | \(0.364672\pi\) | |||||||
\(234\) | 1.35698 | − | 0.783451i | 0.0887084 | − | 0.0512158i | ||||
\(235\) | 4.01359 | − | 8.83079i | 0.261818 | − | 0.576057i | ||||
\(236\) | −7.77200 | − | 7.77200i | −0.505914 | − | 0.505914i | ||||
\(237\) | −7.14489 | − | 12.3753i | −0.464110 | − | 0.803863i | ||||
\(238\) | 1.16331 | − | 4.34152i | 0.0754060 | − | 0.281419i | ||||
\(239\) | −5.53867 | + | 20.6706i | −0.358267 | + | 1.33707i | 0.518056 | + | 0.855347i | \(0.326656\pi\) |
−0.876323 | + | 0.481724i | \(0.840011\pi\) | |||||||
\(240\) | 1.49640 | − | 3.29242i | 0.0965923 | − | 0.212525i | ||||
\(241\) | −1.88845 | − | 7.04781i | −0.121646 | − | 0.453989i | 0.878052 | − | 0.478565i | \(-0.158843\pi\) |
−0.999698 | + | 0.0245762i | \(0.992176\pi\) | |||||||
\(242\) | −9.18593 | − | 15.9105i | −0.590494 | − | 1.02277i | ||||
\(243\) | −3.83143 | − | 1.02663i | −0.245786 | − | 0.0658583i | ||||
\(244\) | 2.30136 | − | 8.58880i | 0.147330 | − | 0.549841i | ||||
\(245\) | −8.05186 | + | 9.78794i | −0.514414 | + | 0.625328i | ||||
\(246\) | 14.0371 | − | 3.76124i | 0.894975 | − | 0.239808i | ||||
\(247\) | −6.34025 | + | 23.6621i | −0.403420 | + | 1.50559i | ||||
\(248\) | 3.43124 | + | 3.43124i | 0.217884 | + | 0.217884i | ||||
\(249\) | −20.1383 | −1.27621 | ||||||||
\(250\) | −11.1756 | + | 0.326747i | −0.706805 | + | 0.0206653i | ||||
\(251\) | 4.53943 | + | 4.53943i | 0.286526 | + | 0.286526i | 0.835705 | − | 0.549179i | \(-0.185059\pi\) |
−0.549179 | + | 0.835705i | \(0.685059\pi\) | |||||||
\(252\) | 0.428242 | − | 0.114747i | 0.0269767 | − | 0.00722839i | ||||
\(253\) | − | 2.07823i | − | 0.130657i | ||||||
\(254\) | 0.401127 | + | 1.49703i | 0.0251690 | + | 0.0939319i | ||||
\(255\) | 12.8226 | + | 5.82785i | 0.802980 | + | 0.364954i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 10.8740 | − | 6.27813i | 0.678304 | − | 0.391619i | −0.120912 | − | 0.992663i | \(-0.538582\pi\) |
0.799216 | + | 0.601044i | \(0.205248\pi\) | |||||||
\(258\) | 1.79834 | − | 1.79834i | 0.111960 | − | 0.111960i | ||||
\(259\) | −4.65441 | − | 5.25521i | −0.289211 | − | 0.326543i | ||||
\(260\) | −7.04350 | − | 5.79420i | −0.436819 | − | 0.359341i | ||||
\(261\) | −0.818549 | + | 3.05487i | −0.0506669 | + | 0.189091i | ||||
\(262\) | −14.0708 | + | 3.77026i | −0.869296 | + | 0.232927i | ||||
\(263\) | 1.78743 | + | 6.67077i | 0.110218 | + | 0.411337i | 0.998885 | − | 0.0472153i | \(-0.0150347\pi\) |
−0.888667 | + | 0.458553i | \(0.848368\pi\) | |||||||
\(264\) | 8.46672 | − | 2.26865i | 0.521091 | − | 0.139626i | ||||
\(265\) | −1.70830 | − | 17.5543i | −0.104940 | − | 1.07835i | ||||
\(266\) | −3.46564 | + | 6.00267i | −0.212492 | + | 0.368047i | ||||
\(267\) | 23.9504i | 1.46574i | ||||||||
\(268\) | −2.68457 | + | 10.0190i | −0.163986 | + | 0.612005i | ||||
\(269\) | − | 25.0622i | − | 1.52807i | −0.645174 | − | 0.764036i | \(-0.723215\pi\) | ||
0.645174 | − | 0.764036i | \(-0.276785\pi\) | |||||||
\(270\) | 1.18543 | + | 12.1813i | 0.0721427 | + | 0.741332i | ||||
\(271\) | 8.90741 | + | 15.4281i | 0.541087 | + | 0.937189i | 0.998842 | + | 0.0481113i | \(0.0153202\pi\) |
−0.457755 | + | 0.889078i | \(0.651346\pi\) | |||||||
\(272\) | −3.37280 | − | 1.94729i | −0.204506 | − | 0.118072i | ||||
\(273\) | 7.61339i | 0.460783i | ||||||||
\(274\) | −11.6306 | − | 3.11641i | −0.702629 | − | 0.188269i | ||||
\(275\) | −17.8194 | − | 20.4149i | −1.07455 | − | 1.23106i | ||||
\(276\) | 0.599071 | + | 0.160521i | 0.0360599 | + | 0.00966221i | ||||
\(277\) | −7.89869 | + | 13.6809i | −0.474586 | + | 0.822008i | −0.999576 | − | 0.0291008i | \(-0.990736\pi\) |
0.524990 | + | 0.851108i | \(0.324069\pi\) | |||||||
\(278\) | 5.04939 | − | 8.74580i | 0.302842 | − | 0.524538i | ||||
\(279\) | −1.80060 | − | 0.482470i | −0.107799 | − | 0.0288847i | ||||
\(280\) | −1.50070 | − | 2.09939i | −0.0896842 | − | 0.125463i | ||||
\(281\) | 9.74564 | + | 2.61134i | 0.581376 | + | 0.155779i | 0.537509 | − | 0.843258i | \(-0.319366\pi\) |
0.0438671 | + | 0.999037i | \(0.486032\pi\) | |||||||
\(282\) | 7.01612i | 0.417804i | ||||||||
\(283\) | −16.0443 | − | 9.26316i | −0.953733 | − | 0.550638i | −0.0594941 | − | 0.998229i | \(-0.518949\pi\) |
−0.894238 | + | 0.447591i | \(0.852282\pi\) | |||||||
\(284\) | 2.42276 | + | 4.19634i | 0.143764 | + | 0.249007i | ||||
\(285\) | −16.7740 | − | 13.7988i | −0.993606 | − | 0.817371i | ||||
\(286\) | − | 22.1055i | − | 1.30712i | ||||||
\(287\) | 2.68388 | − | 10.0164i | 0.158424 | − | 0.591248i | ||||
\(288\) | − | 0.384156i | − | 0.0226366i | ||||||
\(289\) | −0.916138 | + | 1.58680i | −0.0538905 | + | 0.0933410i | ||||
\(290\) | 18.3223 | − | 1.78303i | 1.07592 | − | 0.104703i | ||||
\(291\) | 6.84784 | − | 1.83487i | 0.401428 | − | 0.107562i | ||||
\(292\) | 3.51772 | + | 13.1283i | 0.205859 | + | 0.768276i | ||||
\(293\) | −8.84889 | + | 2.37105i | −0.516957 | + | 0.138518i | −0.507859 | − | 0.861440i | \(-0.669563\pi\) |
−0.00909855 | + | 0.999959i | \(0.502896\pi\) | |||||||
\(294\) | 2.37268 | − | 8.85495i | 0.138377 | − | 0.516431i | ||||
\(295\) | −2.38049 | − | 24.4617i | −0.138597 | − | 1.42421i | ||||
\(296\) | −5.44223 | + | 2.71702i | −0.316323 | + | 0.157923i | ||||
\(297\) | −20.9752 | + | 20.9752i | −1.21711 | + | 1.21711i | ||||
\(298\) | 6.23713 | − | 3.60101i | 0.361307 | − | 0.208601i | ||||
\(299\) | 0.782047 | − | 1.35455i | 0.0452270 | − | 0.0783354i | ||||
\(300\) | 7.26113 | − | 3.55978i | 0.419222 | − | 0.205524i | ||||
\(301\) | −0.469695 | − | 1.75292i | −0.0270727 | − | 0.101037i | ||||
\(302\) | 6.72545i | 0.387006i | ||||||||
\(303\) | 12.4648 | − | 3.33992i | 0.716082 | − | 0.191874i | ||||
\(304\) | 4.24679 | + | 4.24679i | 0.243570 | + | 0.243570i | ||||
\(305\) | 16.1750 | − | 11.5623i | 0.926178 | − | 0.662058i | ||||
\(306\) | 1.49613 | 0.0855278 | ||||||||
\(307\) | −24.1075 | − | 24.1075i | −1.37589 | − | 1.37589i | −0.851450 | − | 0.524435i | \(-0.824276\pi\) |
−0.524435 | − | 0.851450i | \(-0.675724\pi\) | |||||||
\(308\) | 1.61882 | − | 6.04153i | 0.0922411 | − | 0.344248i | ||||
\(309\) | 7.32928 | − | 1.96388i | 0.416948 | − | 0.111721i | ||||
\(310\) | 1.05095 | + | 10.7995i | 0.0596902 | + | 0.613371i | ||||
\(311\) | −6.07987 | + | 22.6904i | −0.344758 | + | 1.28665i | 0.548137 | + | 0.836389i | \(0.315337\pi\) |
−0.892895 | + | 0.450266i | \(0.851329\pi\) | |||||||
\(312\) | 6.37212 | + | 1.70740i | 0.360750 | + | 0.0966627i | ||||
\(313\) | −6.03304 | − | 10.4495i | −0.341008 | − | 0.590643i | 0.643612 | − | 0.765352i | \(-0.277435\pi\) |
−0.984620 | + | 0.174709i | \(0.944102\pi\) | |||||||
\(314\) | 3.44829 | + | 12.8692i | 0.194598 | + | 0.726251i | ||||
\(315\) | 0.902515 | + | 0.410193i | 0.0508510 | + | 0.0231117i | ||||
\(316\) | −2.28673 | + | 8.53421i | −0.128639 | + | 0.480087i | ||||
\(317\) | 4.10260 | − | 15.3111i | 0.230425 | − | 0.859959i | −0.749733 | − | 0.661741i | \(-0.769818\pi\) |
0.980158 | − | 0.198218i | \(-0.0635154\pi\) | |||||||
\(318\) | 6.37854 | + | 11.0479i | 0.357691 | + | 0.619538i | ||||
\(319\) | 31.5494 | + | 31.5494i | 1.76643 | + | 1.76643i | ||||
\(320\) | −2.09367 | + | 0.785216i | −0.117039 | + | 0.0438949i | ||||
\(321\) | −4.69861 | + | 2.71274i | −0.262251 | + | 0.151410i | ||||
\(322\) | 0.312933 | − | 0.312933i | 0.0174391 | − | 0.0174391i | ||||
\(323\) | −16.5395 | + | 16.5395i | −0.920280 | + | 0.920280i | ||||
\(324\) | −3.84998 | − | 6.66836i | −0.213888 | − | 0.370464i | ||||
\(325\) | −3.93206 | − | 20.0114i | −0.218112 | − | 1.11003i | ||||
\(326\) | 3.89013 | + | 2.24597i | 0.215454 | + | 0.124393i | ||||
\(327\) | −13.5050 | −0.746827 | ||||||||
\(328\) | −7.78143 | − | 4.49261i | −0.429658 | − | 0.248063i | ||||
\(329\) | 4.33570 | + | 2.50322i | 0.239035 | + | 0.138007i | ||||
\(330\) | 17.8435 | + | 8.10986i | 0.982253 | + | 0.446433i | ||||
\(331\) | 0.522368 | + | 0.139968i | 0.0287119 | + | 0.00769334i | 0.273146 | − | 0.961972i | \(-0.411936\pi\) |
−0.244434 | + | 0.969666i | \(0.578602\pi\) | |||||||
\(332\) | 8.80443 | + | 8.80443i | 0.483206 | + | 0.483206i | ||||
\(333\) | 1.28869 | − | 1.94925i | 0.0706197 | − | 0.106818i | ||||
\(334\) | 4.41413i | 0.241531i | ||||||||
\(335\) | −18.8684 | + | 13.4876i | −1.03089 | + | 0.736909i | ||||
\(336\) | 1.61650 | + | 0.933284i | 0.0881870 | + | 0.0509148i | ||||
\(337\) | 26.6162 | − | 7.13180i | 1.44988 | − | 0.388494i | 0.553897 | − | 0.832585i | \(-0.313140\pi\) |
0.895981 | + | 0.444092i | \(0.146474\pi\) | |||||||
\(338\) | 1.81837 | − | 3.14951i | 0.0989062 | − | 0.171311i | ||||
\(339\) | −7.79576 | − | 7.79576i | −0.423408 | − | 0.423408i | ||||
\(340\) | −3.05808 | − | 8.15394i | −0.165848 | − | 0.442210i | ||||
\(341\) | −18.5959 | + | 18.5959i | −1.00702 | + | 1.00702i | ||||
\(342\) | −2.22858 | − | 0.597146i | −0.120508 | − | 0.0322899i | ||||
\(343\) | −10.3379 | − | 10.3379i | −0.558196 | − | 0.558196i | ||||
\(344\) | −1.57247 | −0.0847817 | ||||||||
\(345\) | 0.806477 | + | 1.12821i | 0.0434193 | + | 0.0607409i | ||||
\(346\) | 5.27554 | + | 19.6886i | 0.283615 | + | 1.05847i | ||||
\(347\) | 2.69381 | 0.144611 | 0.0723056 | − | 0.997383i | \(-0.476964\pi\) | ||||
0.0723056 | + | 0.997383i | \(0.476964\pi\) | |||||||
\(348\) | −11.5313 | + | 6.65758i | −0.618141 | + | 0.356884i | ||||
\(349\) | −13.6101 | + | 7.85782i | −0.728535 | + | 0.420620i | −0.817886 | − | 0.575381i | \(-0.804854\pi\) |
0.0893513 | + | 0.996000i | \(0.471521\pi\) | |||||||
\(350\) | 0.390822 | − | 5.75718i | 0.0208903 | − | 0.307734i | ||||
\(351\) | −21.5642 | + | 5.77812i | −1.15101 | + | 0.308413i | ||||
\(352\) | −4.69349 | − | 2.70979i | −0.250164 | − | 0.144432i | ||||
\(353\) | −10.2119 | + | 5.89584i | −0.543525 | + | 0.313804i | −0.746506 | − | 0.665378i | \(-0.768270\pi\) |
0.202982 | + | 0.979183i | \(0.434937\pi\) | |||||||
\(354\) | 8.88841 | + | 15.3952i | 0.472413 | + | 0.818244i | ||||
\(355\) | −1.77741 | + | 10.6881i | −0.0943351 | + | 0.567266i | ||||
\(356\) | 10.4711 | − | 10.4711i | 0.554967 | − | 0.554967i | ||||
\(357\) | −3.63475 | + | 6.29556i | −0.192371 | + | 0.333197i | ||||
\(358\) | 20.1747 | + | 5.40580i | 1.06627 | + | 0.285705i | ||||
\(359\) | 12.6671i | 0.668543i | 0.942477 | + | 0.334272i | \(0.108490\pi\) | ||||
−0.942477 | + | 0.334272i | \(0.891510\pi\) | |||||||
\(360\) | 0.545717 | − | 0.663380i | 0.0287618 | − | 0.0349632i | ||||
\(361\) | 14.7835 | − | 8.53525i | 0.778079 | − | 0.449224i | ||||
\(362\) | −5.61844 | −0.295299 | ||||||||
\(363\) | 7.69051 | + | 28.7014i | 0.403647 | + | 1.50643i | ||||
\(364\) | 3.32856 | − | 3.32856i | 0.174464 | − | 0.174464i | ||||
\(365\) | −12.5750 | + | 27.6677i | −0.658204 | + | 1.44820i | ||||
\(366\) | −7.19059 | + | 12.4545i | −0.375858 | + | 0.651005i | ||||
\(367\) | 5.34154 | + | 19.9349i | 0.278826 | + | 1.04059i | 0.953234 | + | 0.302234i | \(0.0977324\pi\) |
−0.674408 | + | 0.738359i | \(0.735601\pi\) | |||||||
\(368\) | −0.191734 | − | 0.332093i | −0.00999482 | − | 0.0173115i | ||||
\(369\) | 3.45173 | 0.179690 | ||||||||
\(370\) | −13.2576 | − | 3.03913i | −0.689229 | − | 0.157997i | ||||
\(371\) | 9.10297 | 0.472603 | ||||||||
\(372\) | −3.92412 | − | 6.79677i | −0.203456 | − | 0.352396i | ||||
\(373\) | 8.93048 | + | 33.3290i | 0.462403 | + | 1.72571i | 0.665360 | + | 0.746523i | \(0.268278\pi\) |
−0.202957 | + | 0.979188i | \(0.565055\pi\) | |||||||
\(374\) | 10.5535 | − | 18.2792i | 0.545708 | − | 0.945193i | ||||
\(375\) | 17.5958 | + | 4.16766i | 0.908642 | + | 0.215217i | ||||
\(376\) | 3.06744 | − | 3.06744i | 0.158191 | − | 0.158191i | ||||
\(377\) | 8.69102 | + | 32.4353i | 0.447610 | + | 1.67050i | ||||
\(378\) | −6.31676 | −0.324899 | ||||||||
\(379\) | 4.64897 | − | 2.68408i | 0.238802 | − | 0.137872i | −0.375824 | − | 0.926691i | \(-0.622640\pi\) |
0.614626 | + | 0.788819i | \(0.289307\pi\) | |||||||
\(380\) | 1.30075 | + | 13.3664i | 0.0667271 | + | 0.685682i | ||||
\(381\) | − | 2.50664i | − | 0.128419i | ||||||
\(382\) | 8.82698 | + | 2.36518i | 0.451628 | + | 0.121013i | ||||
\(383\) | 17.0195 | − | 29.4786i | 0.869656 | − | 1.50629i | 0.00730659 | − | 0.999973i | \(-0.497674\pi\) |
0.862349 | − | 0.506314i | \(-0.168992\pi\) | |||||||
\(384\) | 1.14364 | − | 1.14364i | 0.0583613 | − | 0.0583613i | ||||
\(385\) | 11.3778 | − | 8.13319i | 0.579868 | − | 0.414506i | ||||
\(386\) | 5.34031 | + | 9.24969i | 0.271815 | + | 0.470797i | ||||
\(387\) | 0.523143 | − | 0.302036i | 0.0265928 | − | 0.0153534i | ||||
\(388\) | −3.79607 | − | 2.19166i | −0.192716 | − | 0.111265i | ||||
\(389\) | 17.5552 | − | 4.70391i | 0.890086 | − | 0.238498i | 0.215332 | − | 0.976541i | \(-0.430917\pi\) |
0.674754 | + | 0.738043i | \(0.264250\pi\) | |||||||
\(390\) | 8.57822 | + | 12.0004i | 0.434375 | + | 0.607664i | ||||
\(391\) | 1.29336 | − | 0.746722i | 0.0654081 | − | 0.0377634i | ||||
\(392\) | −4.90871 | + | 2.83404i | −0.247927 | + | 0.143141i | ||||
\(393\) | 23.5603 | 1.18846 | ||||||||
\(394\) | −0.449673 | − | 1.67820i | −0.0226542 | − | 0.0845466i | ||||
\(395\) | −16.0722 | + | 11.4889i | −0.808680 | + | 0.578067i | ||||
\(396\) | 2.08197 | 0.104623 | ||||||||
\(397\) | −22.8690 | − | 22.8690i | −1.14776 | − | 1.14776i | −0.986992 | − | 0.160770i | \(-0.948602\pi\) |
−0.160770 | − | 0.986992i | \(-0.551398\pi\) | |||||||
\(398\) | 14.8359 | + | 3.97528i | 0.743658 | + | 0.199263i | ||||
\(399\) | 7.92693 | − | 7.92693i | 0.396843 | − | 0.396843i | ||||
\(400\) | −4.73089 | − | 1.61823i | −0.236545 | − | 0.0809113i | ||||
\(401\) | 18.7127 | + | 18.7127i | 0.934468 | + | 0.934468i | 0.997981 | − | 0.0635130i | \(-0.0202304\pi\) |
−0.0635130 | + | 0.997981i | \(0.520230\pi\) | |||||||
\(402\) | 8.38793 | − | 14.5283i | 0.418352 | − | 0.724607i | ||||
\(403\) | −19.1181 | + | 5.12267i | −0.952338 | + | 0.255178i | ||||
\(404\) | −6.90979 | − | 3.98937i | −0.343775 | − | 0.198479i | ||||
\(405\) | 2.82447 | − | 16.9844i | 0.140349 | − | 0.843960i | ||||
\(406\) | 9.50120i | 0.471537i | ||||||||
\(407\) | −14.7251 | − | 29.4946i | −0.729896 | − | 1.46199i | ||||
\(408\) | 4.45401 | + | 4.45401i | 0.220506 | + | 0.220506i | ||||
\(409\) | −33.4605 | − | 8.96573i | −1.65452 | − | 0.443327i | −0.693645 | − | 0.720317i | \(-0.743996\pi\) |
−0.960873 | + | 0.276990i | \(0.910663\pi\) | |||||||
\(410\) | −7.05534 | − | 18.8121i | −0.348438 | − | 0.929061i | ||||
\(411\) | 16.8653 | + | 9.73719i | 0.831905 | + | 0.480300i | ||||
\(412\) | −4.06296 | − | 2.34575i | −0.200168 | − | 0.115567i | ||||
\(413\) | 12.6849 | 0.624181 | ||||||||
\(414\) | 0.127576 | + | 0.0736558i | 0.00626999 | + | 0.00361998i | ||||
\(415\) | 2.69671 | + | 27.7112i | 0.132376 | + | 1.36029i | ||||
\(416\) | −2.03941 | − | 3.53236i | −0.0999902 | − | 0.173188i | ||||
\(417\) | −11.5494 | + | 11.5494i | −0.565577 | + | 0.565577i | ||||
\(418\) | −23.0158 | + | 23.0158i | −1.12574 | + | 1.12574i | ||||
\(419\) | −15.3378 | + | 8.85527i | −0.749300 | + | 0.432608i | −0.825441 | − | 0.564489i | \(-0.809073\pi\) |
0.0761412 | + | 0.997097i | \(0.475740\pi\) | |||||||
\(420\) | 1.46566 | + | 3.90797i | 0.0715168 | + | 0.190689i | ||||
\(421\) | −12.5994 | − | 12.5994i | −0.614057 | − | 0.614057i | 0.329944 | − | 0.944001i | \(-0.392970\pi\) |
−0.944001 | + | 0.329944i | \(0.892970\pi\) | |||||||
\(422\) | 7.86139 | + | 13.6163i | 0.382686 | + | 0.662832i | ||||
\(423\) | −0.431315 | + | 1.60969i | −0.0209713 | + | 0.0782659i | ||||
\(424\) | 2.04146 | − | 7.61884i | 0.0991422 | − | 0.370004i | ||||
\(425\) | 6.30231 | − | 18.4248i | 0.305707 | − | 0.893735i | ||||
\(426\) | −2.02834 | − | 7.56989i | −0.0982736 | − | 0.366762i | ||||
\(427\) | 5.13093 | + | 8.88704i | 0.248303 | + | 0.430074i | ||||
\(428\) | 3.24023 | + | 0.868218i | 0.156623 | + | 0.0419669i | ||||
\(429\) | −9.25341 | + | 34.5342i | −0.446759 | + | 1.66733i | ||||
\(430\) | −2.71541 | − | 2.23378i | −0.130949 | − | 0.107723i | ||||
\(431\) | −10.8241 | + | 2.90031i | −0.521380 | + | 0.139703i | −0.509905 | − | 0.860231i | \(-0.670319\pi\) |
−0.0114749 | + | 0.999934i | \(0.503653\pi\) | |||||||
\(432\) | −1.41662 | + | 5.28689i | −0.0681570 | + | 0.254366i | ||||
\(433\) | −3.62400 | − | 3.62400i | −0.174158 | − | 0.174158i | 0.614645 | − | 0.788804i | \(-0.289299\pi\) |
−0.788804 | + | 0.614645i | \(0.789299\pi\) | |||||||
\(434\) | −5.60020 | −0.268818 | ||||||||
\(435\) | −29.3703 | − | 4.88421i | −1.40820 | − | 0.234180i | ||||
\(436\) | 5.90436 | + | 5.90436i | 0.282768 | + | 0.282768i | ||||
\(437\) | −2.22458 | + | 0.596075i | −0.106416 | + | 0.0285142i | ||||
\(438\) | − | 21.9822i | − | 1.05035i | ||||||
\(439\) | −4.65935 | − | 17.3889i | −0.222378 | − | 0.829928i | −0.983438 | − | 0.181245i | \(-0.941987\pi\) |
0.761059 | − | 0.648682i | \(-0.224680\pi\) | |||||||
\(440\) | −4.25554 | − | 11.3468i | −0.202875 | − | 0.540937i | ||||
\(441\) | 1.08872 | − | 1.88571i | 0.0518436 | − | 0.0897957i | ||||
\(442\) | 13.7570 | − | 7.94263i | 0.654356 | − | 0.377792i | ||||
\(443\) | −9.53895 | + | 9.53895i | −0.453209 | + | 0.453209i | −0.896418 | − | 0.443209i | \(-0.853840\pi\) |
0.443209 | + | 0.896418i | \(0.353840\pi\) | |||||||
\(444\) | 9.63945 | − | 1.96652i | 0.457468 | − | 0.0933270i | ||||
\(445\) | 32.9568 | − | 3.20719i | 1.56230 | − | 0.152035i | ||||
\(446\) | 2.88463 | − | 10.7656i | 0.136591 | − | 0.509766i | ||||
\(447\) | −11.2513 | + | 3.01478i | −0.532169 | + | 0.142594i | ||||
\(448\) | −0.298699 | − | 1.11476i | −0.0141122 | − | 0.0526675i | ||||
\(449\) | 20.0298 | − | 5.36698i | 0.945267 | − | 0.253283i | 0.246914 | − | 0.969037i | \(-0.420583\pi\) |
0.698353 | + | 0.715754i | \(0.253917\pi\) | |||||||
\(450\) | 1.88474 | − | 0.370335i | 0.0888476 | − | 0.0174577i | ||||
\(451\) | 24.3481 | − | 42.1721i | 1.14651 | − | 1.98581i | ||||
\(452\) | 6.81660i | 0.320626i | ||||||||
\(453\) | 2.81529 | − | 10.5068i | 0.132274 | − | 0.493653i | ||||
\(454\) | 3.55591i | 0.166887i | ||||||||
\(455\) | 10.4764 | − | 1.01951i | 0.491139 | − | 0.0477952i | ||||
\(456\) | −4.85682 | − | 8.41226i | −0.227441 | − | 0.393940i | ||||
\(457\) | −3.68504 | − | 2.12756i | −0.172379 | − | 0.0995230i | 0.411328 | − | 0.911487i | \(-0.365065\pi\) |
−0.583707 | + | 0.811964i | \(0.698398\pi\) | |||||||
\(458\) | 13.5857i | 0.634820i | ||||||||
\(459\) | −20.5902 | − | 5.51712i | −0.961068 | − | 0.257517i | ||||
\(460\) | 0.140662 | − | 0.845844i | 0.00655840 | − | 0.0394377i | ||||
\(461\) | 22.9371 | + | 6.14596i | 1.06829 | + | 0.286246i | 0.749788 | − | 0.661678i | \(-0.230155\pi\) |
0.318497 | + | 0.947924i | \(0.396822\pi\) | |||||||
\(462\) | −5.05801 | + | 8.76072i | −0.235320 | + | 0.407586i | ||||
\(463\) | −13.1877 | + | 22.8418i | −0.612886 | + | 1.06155i | 0.377866 | + | 0.925860i | \(0.376658\pi\) |
−0.990752 | + | 0.135689i | \(0.956675\pi\) | |||||||
\(464\) | 7.95215 | + | 2.13077i | 0.369169 | + | 0.0989186i | ||||
\(465\) | 2.87886 | − | 17.3114i | 0.133504 | − | 0.802799i | ||||
\(466\) | −10.3949 | − | 2.78532i | −0.481537 | − | 0.129027i | ||||
\(467\) | − | 4.82320i | − | 0.223191i | −0.993754 | − | 0.111596i | \(-0.964404\pi\) | ||
0.993754 | − | 0.111596i | \(-0.0355961\pi\) | |||||||
\(468\) | 1.35698 | + | 0.783451i | 0.0627263 | + | 0.0362150i | ||||
\(469\) | −5.98531 | − | 10.3669i | −0.276376 | − | 0.478697i | ||||
\(470\) | 9.65449 | − | 0.939526i | 0.445328 | − | 0.0433371i | ||||
\(471\) | − | 21.5483i | − | 0.992895i | ||||||
\(472\) | 2.84475 | − | 10.6168i | 0.130940 | − | 0.488676i | ||||
\(473\) | − | 8.52211i | − | 0.391847i | ||||||
\(474\) | 7.14489 | − | 12.3753i | 0.328176 | − | 0.568417i | ||||
\(475\) | −16.7416 | + | 24.9296i | −0.768156 | + | 1.14385i | ||||
\(476\) | 4.34152 | − | 1.16331i | 0.198993 | − | 0.0533201i | ||||
\(477\) | 0.784240 | + | 2.92683i | 0.0359079 | + | 0.134010i | ||||
\(478\) | −20.6706 | + | 5.53867i | −0.945452 | + | 0.253333i | ||||
\(479\) | 10.5344 | − | 39.3150i | 0.481330 | − | 1.79635i | −0.114716 | − | 0.993398i | \(-0.536596\pi\) |
0.596046 | − | 0.802950i | \(-0.296738\pi\) | |||||||
\(480\) | 3.59952 | − | 0.350287i | 0.164295 | − | 0.0159883i | ||||
\(481\) | 1.50144 | − | 24.7650i | 0.0684598 | − | 1.12919i | ||||
\(482\) | 5.15935 | − | 5.15935i | 0.235002 | − | 0.235002i | ||||
\(483\) | −0.619874 | + | 0.357884i | −0.0282052 | + | 0.0162843i | ||||
\(484\) | 9.18593 | − | 15.9105i | 0.417542 | − | 0.723204i | ||||
\(485\) | −3.44186 | − | 9.17722i | −0.156287 | − | 0.416716i | ||||
\(486\) | −1.02663 | − | 3.83143i | −0.0465688 | − | 0.173797i | ||||
\(487\) | 14.0068i | 0.634709i | 0.948307 | + | 0.317355i | \(0.102795\pi\) | ||||
−0.948307 | + | 0.317355i | \(0.897205\pi\) | |||||||
\(488\) | 8.58880 | − | 2.30136i | 0.388797 | − | 0.104178i | ||||
\(489\) | −5.13718 | − | 5.13718i | −0.232311 | − | 0.232311i | ||||
\(490\) | −12.5025 | − | 2.07914i | −0.564807 | − | 0.0939262i | ||||
\(491\) | 14.8170 | 0.668683 | 0.334342 | − | 0.942452i | \(-0.391486\pi\) | ||||
0.334342 | + | 0.942452i | \(0.391486\pi\) | |||||||
\(492\) | 10.2759 | + | 10.2759i | 0.463273 | + | 0.463273i | ||||
\(493\) | −8.29845 | + | 30.9702i | −0.373743 | + | 1.39483i | ||||
\(494\) | −23.6621 | + | 6.34025i | −1.06461 | + | 0.285261i | ||||
\(495\) | 3.59524 | + | 2.95756i | 0.161594 | + | 0.132932i | ||||
\(496\) | −1.25592 | + | 4.68716i | −0.0563925 | + | 0.210460i | ||||
\(497\) | −5.40159 | − | 1.44735i | −0.242294 | − | 0.0649225i | ||||
\(498\) | −10.0691 | − | 17.4403i | −0.451209 | − | 0.781517i | ||||
\(499\) | 8.81869 | + | 32.9118i | 0.394779 | + | 1.47333i | 0.822157 | + | 0.569261i | \(0.192771\pi\) |
−0.427378 | + | 0.904073i | \(0.640563\pi\) | |||||||
\(500\) | −5.87075 | − | 9.51495i | −0.262548 | − | 0.425521i | ||||
\(501\) | 1.84777 | − | 6.89596i | 0.0825522 | − | 0.308089i | ||||
\(502\) | −1.66155 | + | 6.20098i | −0.0741585 | + | 0.276763i | ||||
\(503\) | −7.13645 | − | 12.3607i | −0.318199 | − | 0.551136i | 0.661914 | − | 0.749580i | \(-0.269745\pi\) |
−0.980112 | + | 0.198444i | \(0.936411\pi\) | |||||||
\(504\) | 0.313495 | + | 0.313495i | 0.0139642 | + | 0.0139642i | ||||
\(505\) | −6.26503 | − | 16.7048i | −0.278790 | − | 0.743354i | ||||
\(506\) | 1.79980 | − | 1.03912i | 0.0800110 | − | 0.0461944i | ||||
\(507\) | −4.15913 | + | 4.15913i | −0.184714 | + | 0.184714i | ||||
\(508\) | −1.09590 | + | 1.09590i | −0.0486227 | + | 0.0486227i | ||||
\(509\) | 8.11064 | + | 14.0480i | 0.359498 | + | 0.622669i | 0.987877 | − | 0.155239i | \(-0.0496147\pi\) |
−0.628379 | + | 0.777907i | \(0.716281\pi\) | |||||||
\(510\) | 1.36422 | + | 14.0186i | 0.0604087 | + | 0.620754i | ||||
\(511\) | −13.5842 | − | 7.84283i | −0.600929 | − | 0.346946i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 28.4684 | + | 16.4362i | 1.25691 | + | 0.725678i | ||||
\(514\) | 10.8740 | + | 6.27813i | 0.479633 | + | 0.276917i | ||||
\(515\) | −3.68384 | − | 9.82243i | −0.162329 | − | 0.432828i | ||||
\(516\) | 2.45658 | + | 0.658239i | 0.108145 | + | 0.0289774i | ||||
\(517\) | 16.6242 | + | 16.6242i | 0.731133 | + | 0.731133i | ||||
\(518\) | 2.22394 | − | 6.65844i | 0.0977142 | − | 0.292555i | ||||
\(519\) | − | 32.9668i | − | 1.44708i | ||||||
\(520\) | 1.49617 | − | 8.99695i | 0.0656116 | − | 0.394542i | ||||
\(521\) | −13.4673 | − | 7.77533i | −0.590012 | − | 0.340643i | 0.175090 | − | 0.984552i | \(-0.443978\pi\) |
−0.765102 | + | 0.643909i | \(0.777312\pi\) | |||||||
\(522\) | −3.05487 | + | 0.818549i | −0.133708 | + | 0.0358269i | ||||
\(523\) | −13.9061 | + | 24.0862i | −0.608073 | + | 1.05321i | 0.383484 | + | 0.923547i | \(0.374724\pi\) |
−0.991558 | + | 0.129666i | \(0.958609\pi\) | |||||||
\(524\) | −10.3005 | − | 10.3005i | −0.449981 | − | 0.449981i | ||||
\(525\) | −3.02053 | + | 8.83053i | −0.131827 | + | 0.385396i | ||||
\(526\) | −4.88334 | + | 4.88334i | −0.212924 | + | 0.212924i | ||||
\(527\) | −18.2545 | − | 4.89128i | −0.795178 | − | 0.213067i | ||||
\(528\) | 6.19807 | + | 6.19807i | 0.269736 | + | 0.269736i | ||||
\(529\) | −22.8530 | −0.993607 | ||||||||
\(530\) | 14.3483 | − | 10.2566i | 0.623251 | − | 0.445517i | ||||
\(531\) | 1.09283 | + | 4.07849i | 0.0474247 | + | 0.176991i | ||||
\(532\) | −6.93129 | −0.300509 | ||||||||
\(533\) | 31.7390 | − | 18.3245i | 1.37477 | − | 0.793724i | ||||
\(534\) | −20.7417 | + | 11.9752i | −0.897579 | + | 0.518217i | ||||
\(535\) | 4.36204 | + | 6.10223i | 0.188587 | + | 0.263822i | ||||
\(536\) | −10.0190 | + | 2.68457i | −0.432753 | + | 0.115956i | ||||
\(537\) | −29.2550 | − | 16.8904i | −1.26245 | − | 0.728874i | ||||
\(538\) | 21.7045 | − | 12.5311i | 0.935749 | − | 0.540255i | ||||
\(539\) | −15.3593 | − | 26.6031i | −0.661573 | − | 1.14588i | ||||
\(540\) | −9.95662 | + | 7.11727i | −0.428465 | + | 0.306279i | ||||
\(541\) | 1.73685 | − | 1.73685i | 0.0746729 | − | 0.0746729i | −0.668784 | − | 0.743457i | \(-0.733185\pi\) |
0.743457 | + | 0.668784i | \(0.233185\pi\) | |||||||
\(542\) | −8.90741 | + | 15.4281i | −0.382606 | + | 0.662693i | ||||
\(543\) | 8.77739 | + | 2.35189i | 0.376674 | + | 0.100929i | ||||
\(544\) | − | 3.89458i | − | 0.166979i | ||||||
\(545\) | 1.80845 | + | 18.5834i | 0.0774654 | + | 0.796027i | ||||
\(546\) | −6.59339 | + | 3.80669i | −0.282171 | + | 0.162911i | ||||
\(547\) | −7.95342 | −0.340064 | −0.170032 | − | 0.985439i | \(-0.554387\pi\) | ||||
−0.170032 | + | 0.985439i | \(0.554387\pi\) | |||||||
\(548\) | −3.11641 | − | 11.6306i | −0.133126 | − | 0.496834i | ||||
\(549\) | −2.41536 | + | 2.41536i | −0.103085 | + | 0.103085i | ||||
\(550\) | 8.77011 | − | 25.6395i | 0.373959 | − | 1.09327i | ||||
\(551\) | 24.7222 | − | 42.8201i | 1.05320 | − | 1.82420i | ||||
\(552\) | 0.160521 | + | 0.599071i | 0.00683221 | + | 0.0254982i | ||||
\(553\) | −5.09832 | − | 8.83056i | −0.216803 | − | 0.375513i | ||||
\(554\) | −15.7974 | −0.671166 | ||||||||
\(555\) | 19.4394 | + | 10.2975i | 0.825158 | + | 0.437106i | ||||
\(556\) | 10.0988 | 0.428284 | ||||||||
\(557\) | −13.6937 | − | 23.7183i | −0.580223 | − | 1.00498i | −0.995453 | − | 0.0952586i | \(-0.969632\pi\) |
0.415230 | − | 0.909716i | \(-0.363701\pi\) | |||||||
\(558\) | −0.482470 | − | 1.80060i | −0.0204246 | − | 0.0762255i | ||||
\(559\) | 3.20690 | − | 5.55452i | 0.135637 | − | 0.234931i | ||||
\(560\) | 1.06778 | − | 2.34934i | 0.0451217 | − | 0.0992779i | ||||
\(561\) | −24.1389 | + | 24.1389i | −1.01914 | + | 1.01914i | ||||
\(562\) | 2.61134 | + | 9.74564i | 0.110153 | + | 0.411095i | ||||
\(563\) | −3.30187 | −0.139157 | −0.0695785 | − | 0.997576i | \(-0.522165\pi\) | ||||
−0.0695785 | + | 0.997576i | \(0.522165\pi\) | |||||||
\(564\) | −6.07614 | + | 3.50806i | −0.255851 | + | 0.147716i | ||||
\(565\) | −9.68338 | + | 11.7712i | −0.407383 | + | 0.495220i | ||||
\(566\) | − | 18.5263i | − | 0.778719i | ||||||
\(567\) | 8.58361 | + | 2.29997i | 0.360478 | + | 0.0965897i | ||||
\(568\) | −2.42276 | + | 4.19634i | −0.101657 | + | 0.176074i | ||||
\(569\) | 9.43733 | − | 9.43733i | 0.395633 | − | 0.395633i | −0.481056 | − | 0.876690i | \(-0.659747\pi\) |
0.876690 | + | 0.481056i | \(0.159747\pi\) | |||||||
\(570\) | 3.56312 | − | 21.4261i | 0.149243 | − | 0.897441i | ||||
\(571\) | −3.05157 | − | 5.28548i | −0.127704 | − | 0.221190i | 0.795083 | − | 0.606501i | \(-0.207428\pi\) |
−0.922787 | + | 0.385311i | \(0.874094\pi\) | |||||||
\(572\) | 19.1439 | − | 11.0527i | 0.800447 | − | 0.462138i | ||||
\(573\) | −12.7999 | − | 7.39000i | −0.534722 | − | 0.308722i | ||||
\(574\) | 10.0164 | − | 2.68388i | 0.418075 | − | 0.112023i | ||||
\(575\) | 1.44447 | − | 1.26083i | 0.0602387 | − | 0.0525801i | ||||
\(576\) | 0.332689 | − | 0.192078i | 0.0138620 | − | 0.00800325i | ||||
\(577\) | −1.25068 | + | 0.722081i | −0.0520665 | + | 0.0300606i | −0.525807 | − | 0.850604i | \(-0.676237\pi\) |
0.473741 | + | 0.880664i | \(0.342903\pi\) | |||||||
\(578\) | −1.83228 | −0.0762126 | ||||||||
\(579\) | −4.47094 | − | 16.6858i | −0.185806 | − | 0.693437i | ||||
\(580\) | 10.7053 | + | 14.9760i | 0.444512 | + | 0.621845i | ||||
\(581\) | −14.3699 | −0.596165 | ||||||||
\(582\) | 5.01297 | + | 5.01297i | 0.207794 | + | 0.207794i | ||||
\(583\) | 41.2909 | + | 11.0639i | 1.71010 | + | 0.458219i | ||||
\(584\) | −9.61059 | + | 9.61059i | −0.397689 | + | 0.397689i | ||||
\(585\) | 1.23036 | + | 3.28057i | 0.0508690 | + | 0.135635i | ||||
\(586\) | −6.47783 | − | 6.47783i | −0.267597 | − | 0.267597i | ||||
\(587\) | 4.55674 | − | 7.89250i | 0.188077 | − | 0.325758i | −0.756532 | − | 0.653956i | \(-0.773108\pi\) |
0.944609 | + | 0.328198i | \(0.106441\pi\) | |||||||
\(588\) | 8.85495 | − | 2.37268i | 0.365172 | − | 0.0978476i | ||||
\(589\) | 25.2390 | + | 14.5718i | 1.03996 | + | 0.600419i | ||||
\(590\) | 19.9942 | − | 14.2924i | 0.823148 | − | 0.588409i | ||||
\(591\) | 2.81000i | 0.115588i | ||||||||
\(592\) | −5.07412 | − | 3.35460i | −0.208545 | − | 0.137873i | ||||
\(593\) | −12.0803 | − | 12.0803i | −0.496078 | − | 0.496078i | 0.414136 | − | 0.910215i | \(-0.364084\pi\) |
−0.910215 | + | 0.414136i | \(0.864084\pi\) | |||||||
\(594\) | −28.6527 | − | 7.67747i | −1.17564 | − | 0.315010i | ||||
\(595\) | 9.14970 | + | 4.15853i | 0.375101 | + | 0.170483i | ||||
\(596\) | 6.23713 | + | 3.60101i | 0.255483 | + | 0.147503i | ||||
\(597\) | −21.5133 | − | 12.4207i | −0.880482 | − | 0.508346i | ||||
\(598\) | 1.56409 | 0.0639606 | ||||||||
\(599\) | −17.9905 | − | 10.3868i | −0.735073 | − | 0.424395i | 0.0852021 | − | 0.996364i | \(-0.472846\pi\) |
−0.820275 | + | 0.571969i | \(0.806180\pi\) | |||||||
\(600\) | 6.71343 | + | 4.50843i | 0.274075 | + | 0.184056i | ||||
\(601\) | 14.4319 | + | 24.9968i | 0.588690 | + | 1.01964i | 0.994404 | + | 0.105641i | \(0.0336893\pi\) |
−0.405715 | + | 0.914000i | \(0.632977\pi\) | |||||||
\(602\) | 1.28323 | − | 1.28323i | 0.0523005 | − | 0.0523005i | ||||
\(603\) | 2.81755 | − | 2.81755i | 0.114740 | − | 0.114740i | ||||
\(604\) | −5.82441 | + | 3.36272i | −0.236992 | + | 0.136827i | ||||
\(605\) | 38.4645 | − | 14.4259i | 1.56380 | − | 0.586495i | ||||
\(606\) | 9.12484 | + | 9.12484i | 0.370671 | + | 0.370671i | ||||
\(607\) | 22.1786 | + | 38.4145i | 0.900203 | + | 1.55920i | 0.827231 | + | 0.561863i | \(0.189915\pi\) |
0.0729719 | + | 0.997334i | \(0.476752\pi\) | |||||||
\(608\) | −1.55443 | + | 5.80123i | −0.0630406 | + | 0.235271i | ||||
\(609\) | 3.97723 | − | 14.8432i | 0.161165 | − | 0.601478i | ||||
\(610\) | 18.1008 | + | 8.22679i | 0.732879 | + | 0.333093i | ||||
\(611\) | 4.57953 | + | 17.0911i | 0.185268 | + | 0.691430i | ||||
\(612\) | 0.748063 | + | 1.29568i | 0.0302386 | + | 0.0523749i | ||||
\(613\) | 11.0465 | + | 2.95989i | 0.446163 | + | 0.119549i | 0.474903 | − | 0.880038i | \(-0.342483\pi\) |
−0.0287405 | + | 0.999587i | \(0.509150\pi\) | |||||||
\(614\) | 8.82394 | − | 32.9314i | 0.356105 | − | 1.32900i | ||||
\(615\) | 3.14741 | + | 32.3425i | 0.126916 | + | 1.30417i | ||||
\(616\) | 6.04153 | − | 1.61882i | 0.243420 | − | 0.0652243i | ||||
\(617\) | 1.82356 | − | 6.80561i | 0.0734136 | − | 0.273983i | −0.919455 | − | 0.393195i | \(-0.871370\pi\) |
0.992869 | + | 0.119211i | \(0.0380365\pi\) | |||||||
\(618\) | 5.36541 | + | 5.36541i | 0.215828 | + | 0.215828i | ||||
\(619\) | 16.6861 | 0.670672 | 0.335336 | − | 0.942099i | \(-0.391150\pi\) | ||||
0.335336 | + | 0.942099i | \(0.391150\pi\) | |||||||
\(620\) | −8.82717 | + | 6.30991i | −0.354508 | + | 0.253412i | ||||
\(621\) | −1.48412 | − | 1.48412i | −0.0595558 | − | 0.0595558i | ||||
\(622\) | −22.6904 | + | 6.07987i | −0.909802 | + | 0.243781i | ||||
\(623\) | 17.0901i | 0.684700i | ||||||||
\(624\) | 1.70740 | + | 6.37212i | 0.0683508 | + | 0.255089i | ||||
\(625\) | 3.37864 | − | 24.7706i | 0.135146 | − | 0.990826i | ||||
\(626\) | 6.03304 | − | 10.4495i | 0.241129 | − | 0.417647i | ||||
\(627\) | 45.5909 | − | 26.3219i | 1.82073 | − | 1.05120i | ||||
\(628\) | −9.42091 | + | 9.42091i | −0.375935 | + | 0.375935i | ||||
\(629\) | 13.0647 | − | 19.7615i | 0.520925 | − | 0.787944i | ||||
\(630\) | 0.0960205 | + | 0.986697i | 0.00382555 | + | 0.0393110i | ||||
\(631\) | 0.508184 | − | 1.89657i | 0.0202305 | − | 0.0755012i | −0.955073 | − | 0.296372i | \(-0.904223\pi\) |
0.975303 | + | 0.220871i | \(0.0708899\pi\) | |||||||
\(632\) | −8.53421 | + | 2.28673i | −0.339473 | + | 0.0909614i | ||||
\(633\) | −6.58160 | − | 24.5629i | −0.261595 | − | 0.976286i | ||||
\(634\) | 15.3111 | − | 4.10260i | 0.608083 | − | 0.162935i | ||||
\(635\) | −3.44925 | + | 0.335664i | −0.136879 | + | 0.0133204i | ||||
\(636\) | −6.37854 | + | 11.0479i | −0.252925 | + | 0.438080i | ||||
\(637\) | − | 23.1191i | − | 0.916011i | ||||||
\(638\) | −11.5479 | + | 43.0973i | −0.457185 | + | 1.70624i | ||||
\(639\) | − | 1.86143i | − | 0.0736372i | ||||||
\(640\) | −1.72685 | − | 1.42056i | −0.0682597 | − | 0.0561525i | ||||
\(641\) | −0.691853 | − | 1.19832i | −0.0273265 | − | 0.0473309i | 0.852039 | − | 0.523479i | \(-0.175366\pi\) |
−0.879365 | + | 0.476148i | \(0.842033\pi\) | |||||||
\(642\) | −4.69861 | − | 2.71274i | −0.185439 | − | 0.107063i | ||||
\(643\) | − | 5.02728i | − | 0.198256i | −0.995075 | − | 0.0991282i | \(-0.968395\pi\) | ||
0.995075 | − | 0.0991282i | \(-0.0316054\pi\) | |||||||
\(644\) | 0.427475 | + | 0.114542i | 0.0168449 | + | 0.00451357i | ||||
\(645\) | 3.30708 | + | 4.62640i | 0.130216 | + | 0.182164i | ||||
\(646\) | −22.5933 | − | 6.05386i | −0.888922 | − | 0.238186i | ||||
\(647\) | −19.6120 | + | 33.9690i | −0.771029 | + | 1.33546i | 0.165971 | + | 0.986131i | \(0.446924\pi\) |
−0.937000 | + | 0.349330i | \(0.886409\pi\) | |||||||
\(648\) | 3.84998 | − | 6.66836i | 0.151241 | − | 0.261958i | ||||
\(649\) | 57.5384 | + | 15.4174i | 2.25858 | + | 0.605184i | ||||
\(650\) | 15.3644 | − | 13.4110i | 0.602640 | − | 0.526022i | ||||
\(651\) | 8.74890 | + | 2.34426i | 0.342896 | + | 0.0918788i | ||||
\(652\) | 4.49194i | 0.175918i | ||||||||
\(653\) | −9.91638 | − | 5.72522i | −0.388058 | − | 0.224045i | 0.293260 | − | 0.956033i | \(-0.405260\pi\) |
−0.681318 | + | 0.731987i | \(0.738593\pi\) | |||||||
\(654\) | −6.75249 | − | 11.6957i | −0.264043 | − | 0.457336i | ||||
\(655\) | −3.15495 | − | 32.4200i | −0.123274 | − | 1.26675i | ||||
\(656\) | − | 8.98522i | − | 0.350814i | ||||||
\(657\) | 1.35135 | − | 5.04332i | 0.0527213 | − | 0.196759i | ||||
\(658\) | 5.00644i | 0.195171i | ||||||||
\(659\) | −21.5298 | + | 37.2907i | −0.838683 | + | 1.45264i | 0.0523138 | + | 0.998631i | \(0.483340\pi\) |
−0.890996 | + | 0.454010i | \(0.849993\pi\) | |||||||
\(660\) | 1.89841 | + | 19.5079i | 0.0738955 | + | 0.759343i | ||||
\(661\) | −35.8756 | + | 9.61285i | −1.39540 | + | 0.373896i | −0.876691 | − | 0.481054i | \(-0.840254\pi\) |
−0.518710 | + | 0.854950i | \(0.673587\pi\) | |||||||
\(662\) | 0.139968 | + | 0.522368i | 0.00544001 | + | 0.0203024i | ||||
\(663\) | −24.8167 | + | 6.64961i | −0.963801 | + | 0.258250i | ||||
\(664\) | −3.22265 | + | 12.0271i | −0.125063 | + | 0.466741i | ||||
\(665\) | −11.9693 | − | 9.84631i | −0.464149 | − | 0.381823i | ||||
\(666\) | 2.33245 | + | 0.141411i | 0.0903805 | + | 0.00547955i | ||||
\(667\) | −2.23231 | + | 2.23231i | −0.0864354 | + | 0.0864354i | ||||
\(668\) | −3.82275 | + | 2.20707i | −0.147907 | + | 0.0853939i | ||||
\(669\) | −9.01302 | + | 15.6110i | −0.348463 | + | 0.603556i | ||||
\(670\) | −21.1148 | − | 9.59668i | −0.815737 | − | 0.370752i | ||||
\(671\) | 12.4724 | + | 46.5477i | 0.481492 | + | 1.79695i | ||||
\(672\) | 1.86657i | 0.0720044i | ||||||||
\(673\) | 23.5841 | − | 6.31935i | 0.909102 | − | 0.243593i | 0.226181 | − | 0.974085i | \(-0.427376\pi\) |
0.682921 | + | 0.730492i | \(0.260709\pi\) | |||||||
\(674\) | 19.4844 | + | 19.4844i | 0.750512 | + | 0.750512i | ||||
\(675\) | −27.3041 | − | 1.85352i | −1.05094 | − | 0.0713420i | ||||
\(676\) | 3.63674 | 0.139874 | ||||||||
\(677\) | −26.0351 | − | 26.0351i | −1.00061 | − | 1.00061i | −1.00000 | 0.000608497i | \(-0.999806\pi\) | |
−0.000608497 | − | 1.00000i | \(-0.500194\pi\) | |||||||
\(678\) | 2.85345 | − | 10.6492i | 0.109586 | − | 0.408980i | ||||
\(679\) | 4.88636 | − | 1.30930i | 0.187521 | − | 0.0502462i | ||||
\(680\) | 5.53248 | − | 6.72535i | 0.212161 | − | 0.257905i | ||||
\(681\) | 1.48851 | − | 5.55521i | 0.0570400 | − | 0.212876i | ||||
\(682\) | −25.4024 | − | 6.80656i | −0.972710 | − | 0.260637i | ||||
\(683\) | −25.4771 | − | 44.1277i | −0.974855 | − | 1.68850i | −0.680413 | − | 0.732829i | \(-0.738199\pi\) |
−0.294442 | − | 0.955669i | \(-0.595134\pi\) | |||||||
\(684\) | −0.597146 | − | 2.22858i | −0.0228324 | − | 0.0852118i | ||||
\(685\) | 11.1404 | − | 24.5113i | 0.425652 | − | 0.936529i | ||||
\(686\) | 3.78395 | − | 14.1219i | 0.144472 | − | 0.539176i | ||||
\(687\) | 5.68703 | − | 21.2243i | 0.216974 | − | 0.809757i | ||||
\(688\) | −0.786233 | − | 1.36180i | −0.0299749 | − | 0.0519180i | ||||
\(689\) | 22.7491 | + | 22.7491i | 0.866672 | + | 0.866672i | ||||
\(690\) | −0.573821 | + | 1.26254i | −0.0218450 | + | 0.0480639i | ||||
\(691\) | 15.6154 | − | 9.01555i | 0.594038 | − | 0.342968i | −0.172655 | − | 0.984982i | \(-0.555234\pi\) |
0.766692 | + | 0.642015i | \(0.221901\pi\) | |||||||
\(692\) | −14.4131 | + | 14.4131i | −0.547902 | + | 0.547902i | ||||
\(693\) | −1.69901 | + | 1.69901i | −0.0645401 | + | 0.0645401i | ||||
\(694\) | 1.34690 | + | 2.33291i | 0.0511278 | + | 0.0885559i | ||||
\(695\) | 17.4391 | + | 14.3459i | 0.661502 | + | 0.544172i | ||||
\(696\) | −11.5313 | − | 6.65758i | −0.437092 | − | 0.252355i | ||||
\(697\) | 34.9936 | 1.32548 | ||||||||
\(698\) | −13.6101 | − | 7.85782i | −0.515152 | − | 0.297423i | ||||
\(699\) | 15.0735 | + | 8.70271i | 0.570133 | + | 0.329167i | ||||
\(700\) | 5.18127 | − | 2.54013i | 0.195834 | − | 0.0960077i | ||||
\(701\) | −6.34539 | − | 1.70024i | −0.239662 | − | 0.0642173i | 0.136989 | − | 0.990573i | \(-0.456258\pi\) |
−0.376651 | + | 0.926355i | \(0.622924\pi\) | |||||||
\(702\) | −15.7861 | − | 15.7861i | −0.595809 | − | 0.595809i | ||||
\(703\) | −27.3482 | + | 24.2216i | −1.03146 | + | 0.913536i | ||||
\(704\) | − | 5.41958i | − | 0.204258i | ||||||
\(705\) | −15.4760 | − | 2.57362i | −0.582859 | − | 0.0969282i | ||||
\(706\) | −10.2119 | − | 5.89584i | −0.384330 | − | 0.221893i | ||||
\(707\) | 8.89438 | − | 2.38324i | 0.334508 | − | 0.0896311i | ||||
\(708\) | −8.88841 | + | 15.3952i | −0.334047 | + | 0.578586i | ||||
\(709\) | −2.12914 | − | 2.12914i | −0.0799615 | − | 0.0799615i | 0.665995 | − | 0.745956i | \(-0.268007\pi\) |
−0.745956 | + | 0.665995i | \(0.768007\pi\) | |||||||
\(710\) | −10.1449 | + | 3.80477i | −0.380731 | + | 0.142791i | ||||
\(711\) | 2.40001 | − | 2.40001i | 0.0900073 | − | 0.0900073i | ||||
\(712\) | 14.3038 | + | 3.83268i | 0.536056 | + | 0.143636i | ||||
\(713\) | −1.31577 | − | 1.31577i | −0.0492759 | − | 0.0492759i | ||||
\(714\) | −7.26949 | −0.272054 | ||||||||
\(715\) | 48.7597 | + | 8.10864i | 1.82351 | + | 0.303246i | ||||
\(716\) | 5.40580 | + | 20.1747i | 0.202024 | + | 0.753964i | ||||
\(717\) | 34.6111 | 1.29258 | ||||||||
\(718\) | −10.9700 | + | 6.33354i | −0.409397 | + | 0.236366i | ||||
\(719\) | −14.1884 | + | 8.19165i | −0.529137 | + | 0.305497i | −0.740665 | − | 0.671875i | \(-0.765489\pi\) |
0.211528 | + | 0.977372i | \(0.432156\pi\) | |||||||
\(720\) | 0.847362 | + | 0.140915i | 0.0315793 | + | 0.00525158i | ||||
\(721\) | 5.22990 | − | 1.40135i | 0.194772 | − | 0.0521889i | ||||
\(722\) | 14.7835 | + | 8.53525i | 0.550185 | + | 0.317649i | ||||
\(723\) | −10.2199 | + | 5.90046i | −0.380082 | + | 0.219441i | ||||
\(724\) | −2.80922 | − | 4.86571i | −0.104404 | − | 0.180833i | ||||
\(725\) | −2.78793 | + | 41.0688i | −0.103541 | + | 1.52526i | ||||
\(726\) | −21.0109 | + | 21.0109i | −0.779786 | + | 0.779786i | ||||
\(727\) | −10.0281 | + | 17.3691i | −0.371920 | + | 0.644184i | −0.989861 | − | 0.142040i | \(-0.954634\pi\) |
0.617941 | + | 0.786225i | \(0.287967\pi\) | |||||||
\(728\) | 4.54690 | + | 1.21834i | 0.168519 | + | 0.0451546i | ||||
\(729\) | 29.5153i | 1.09316i | ||||||||
\(730\) | −30.2484 | + | 2.94363i | −1.11955 | + | 0.108949i | ||||
\(731\) | 5.30362 | − | 3.06205i | 0.196161 | − | 0.113254i | ||||
\(732\) | −14.3812 | −0.531544 | ||||||||
\(733\) | 2.61340 | + | 9.75335i | 0.0965283 | + | 0.360248i | 0.997247 | − | 0.0741549i | \(-0.0236259\pi\) |
−0.900718 | + | 0.434403i | \(0.856959\pi\) | |||||||
\(734\) | −14.5934 | + | 14.5934i | −0.538651 | + | 0.538651i | ||||
\(735\) | 18.6617 | + | 8.48173i | 0.688347 | + | 0.312853i | ||||
\(736\) | 0.191734 | − | 0.332093i | 0.00706740 | − | 0.0122411i | ||||
\(737\) | −14.5493 | − | 54.2986i | −0.535929 | − | 2.00011i | ||||
\(738\) | 1.72586 | + | 2.98929i | 0.0635300 | + | 0.110037i | ||||
\(739\) | −10.7871 | −0.396811 | −0.198405 | − | 0.980120i | \(-0.563576\pi\) | ||||
−0.198405 | + | 0.980120i | \(0.563576\pi\) | |||||||
\(740\) | −3.99684 | − | 13.0010i | −0.146927 | − | 0.477925i | ||||
\(741\) | 39.6201 | 1.45548 | ||||||||
\(742\) | 4.55148 | + | 7.88340i | 0.167090 | + | 0.289409i | ||||
\(743\) | −7.13337 | − | 26.6221i | −0.261698 | − | 0.976669i | −0.964241 | − | 0.265028i | \(-0.914619\pi\) |
0.702543 | − | 0.711641i | \(-0.252048\pi\) | |||||||
\(744\) | 3.92412 | − | 6.79677i | 0.143865 | − | 0.249182i | ||||
\(745\) | 5.65514 | + | 15.0786i | 0.207188 | + | 0.552437i | ||||
\(746\) | −24.3985 | + | 24.3985i | −0.893293 | + | 0.893293i | ||||
\(747\) | −1.23800 | − | 4.62028i | −0.0452960 | − | 0.169047i | ||||
\(748\) | 21.1070 | 0.771747 | ||||||||
\(749\) | −3.35275 | + | 1.93571i | −0.122507 | + | 0.0707293i | ||||
\(750\) | 5.18858 | + | 17.3222i | 0.189460 | + | 0.632518i | ||||
\(751\) | 21.2874i | 0.776790i | 0.921493 | + | 0.388395i | \(0.126970\pi\) | ||||
−0.921493 | + | 0.388395i | \(0.873030\pi\) | |||||||
\(752\) | 4.19020 | + | 1.12276i | 0.152801 | + | 0.0409429i | ||||
\(753\) | 5.19149 | − | 8.99193i | 0.189188 | − | 0.327684i | ||||
\(754\) | −23.7443 | + | 23.7443i | −0.864717 | + | 0.864717i | ||||
\(755\) | −14.8348 | − | 2.46700i | −0.539895 | − | 0.0897833i | ||||
\(756\) | −3.15838 | − | 5.47047i | −0.114869 | − | 0.198959i | ||||
\(757\) | 26.0820 | − | 15.0584i | 0.947966 | − | 0.547308i | 0.0555175 | − | 0.998458i | \(-0.482319\pi\) |
0.892448 | + | 0.451149i | \(0.148986\pi\) | |||||||
\(758\) | 4.64897 | + | 2.68408i | 0.168858 | + | 0.0974904i | ||||
\(759\) | −3.24672 | + | 0.869955i | −0.117848 | + | 0.0315774i | ||||
\(760\) | −10.9253 | + | 7.80968i | −0.396301 | + | 0.283287i | ||||
\(761\) | −38.3547 | + | 22.1441i | −1.39036 | + | 0.802723i | −0.993355 | − | 0.115094i | \(-0.963283\pi\) |
−0.397003 | + | 0.917817i | \(0.629950\pi\) | |||||||
\(762\) | 2.17081 | − | 1.25332i | 0.0786403 | − | 0.0454030i | ||||
\(763\) | −9.63664 | −0.348870 | ||||||||
\(764\) | 2.36518 | + | 8.82698i | 0.0855693 | + | 0.319349i | ||||
\(765\) | −0.548803 | + | 3.30012i | −0.0198420 | + | 0.119316i | ||||
\(766\) | 34.0390 | 1.22988 | ||||||||
\(767\) | 31.7006 | + | 31.7006i | 1.14464 | + | 1.14464i | ||||
\(768\) | 1.56225 | + | 0.418603i | 0.0563727 | + | 0.0151050i | ||||
\(769\) | 17.1063 | − | 17.1063i | 0.616870 | − | 0.616870i | −0.327857 | − | 0.944727i | \(-0.606327\pi\) |
0.944727 | + | 0.327857i | \(0.106327\pi\) | |||||||
\(770\) | 12.7325 | + | 5.78689i | 0.458846 | + | 0.208545i | ||||
\(771\) | −14.3599 | − | 14.3599i | −0.517159 | − | 0.517159i | ||||
\(772\) | −5.34031 | + | 9.24969i | −0.192202 | + | 0.332904i | ||||
\(773\) | 10.0159 | − | 2.68374i | 0.360246 | − | 0.0965276i | −0.0741563 | − | 0.997247i | \(-0.523626\pi\) |
0.434402 | + | 0.900719i | \(0.356960\pi\) | |||||||
\(774\) | 0.523143 | + | 0.302036i | 0.0188040 | + | 0.0108565i | ||||
\(775\) | −24.2068 | − | 1.64326i | −0.869534 | − | 0.0590277i | ||||
\(776\) | − | 4.38333i | − | 0.157352i | ||||||
\(777\) | −6.26158 | + | 9.47119i | −0.224633 | + | 0.339777i | ||||
\(778\) | 12.8513 | + | 12.8513i | 0.460742 | + | 0.460742i | ||||
\(779\) | −52.1253 | − | 13.9669i | −1.86758 | − | 0.500418i | ||||
\(780\) | −6.10354 | + | 13.4292i | −0.218542 | + | 0.480841i | ||||
\(781\) | −22.7424 | − | 13.1303i | −0.813786 | − | 0.469840i | ||||
\(782\) | 1.29336 | + | 0.746722i | 0.0462505 | + | 0.0267027i | ||||
\(783\) | 45.0606 | 1.61033 | ||||||||
\(784\) | −4.90871 | − | 2.83404i | −0.175311 | − | 0.101216i | ||||
\(785\) | −29.6515 | + | 2.88553i | −1.05831 | + | 0.102989i | ||||
\(786\) | 11.7801 | + | 20.4038i | 0.420184 | + | 0.727779i | ||||
\(787\) | 24.1983 | − | 24.1983i | 0.862577 | − | 0.862577i | −0.129060 | − | 0.991637i | \(-0.541196\pi\) |
0.991637 | + | 0.129060i | \(0.0411959\pi\) | |||||||
\(788\) | 1.22853 | − | 1.22853i | 0.0437645 | − | 0.0437645i | ||||
\(789\) | 9.67317 | − | 5.58481i | 0.344374 | − | 0.198824i | ||||
\(790\) | −17.9857 | − | 8.17451i | −0.639904 | − | 0.290836i | ||||
\(791\) | −5.56276 | − | 5.56276i | −0.197789 | − | 0.197789i | ||||
\(792\) | 1.04098 | + | 1.80304i | 0.0369897 | + | 0.0640681i | ||||
\(793\) | −9.38683 | + | 35.0321i | −0.333336 | + | 1.24403i | ||||
\(794\) | 8.37064 | − | 31.2396i | 0.297063 | − | 1.10865i | ||||
\(795\) | −26.7090 | + | 10.0171i | −0.947272 | + | 0.355268i | ||||
\(796\) | 3.97528 | + | 14.8359i | 0.140900 | + | 0.525846i | ||||
\(797\) | 20.2061 | + | 34.9981i | 0.715738 | + | 1.23969i | 0.962674 | + | 0.270663i | \(0.0872429\pi\) |
−0.246936 | + | 0.969032i | \(0.579424\pi\) | |||||||
\(798\) | 10.8284 | + | 2.90146i | 0.383321 | + | 0.102710i | ||||
\(799\) | −4.37268 | + | 16.3191i | −0.154694 | + | 0.577327i | ||||
\(800\) | −0.964021 | − | 4.90619i | −0.0340833 | − | 0.173460i | ||||
\(801\) | −5.49488 | + | 1.47235i | −0.194152 | + | 0.0520229i | ||||
\(802\) | −6.84933 | + | 25.5620i | −0.241858 | + | 0.902627i | ||||
\(803\) | −52.0853 | − | 52.0853i | −1.83805 | − | 1.83805i | ||||
\(804\) | 16.7759 | 0.591639 | ||||||||
\(805\) | 0.575472 | + | 0.805049i | 0.0202827 | + | 0.0283743i | ||||
\(806\) | −13.9954 | − | 13.9954i | −0.492967 | − | 0.492967i | ||||
\(807\) | −39.1534 | + | 10.4911i | −1.37826 | + | 0.369305i | ||||
\(808\) | − | 7.97874i | − | 0.280691i | ||||||
\(809\) | 11.8811 | + | 44.3407i | 0.417716 | + | 1.55894i | 0.779333 | + | 0.626610i | \(0.215558\pi\) |
−0.361618 | + | 0.932327i | \(0.617775\pi\) | |||||||
\(810\) | 16.1211 | − | 6.04613i | 0.566439 | − | 0.212439i | ||||
\(811\) | −19.0531 | + | 33.0009i | −0.669044 | + | 1.15882i | 0.309128 | + | 0.951021i | \(0.399963\pi\) |
−0.978172 | + | 0.207798i | \(0.933370\pi\) | |||||||
\(812\) | −8.22828 | + | 4.75060i | −0.288756 | + | 0.166713i | ||||
\(813\) | 20.3738 | − | 20.3738i | 0.714541 | − | 0.714541i | ||||
\(814\) | 18.1805 | − | 27.4996i | 0.637226 | − | 0.963860i | ||||
\(815\) | −6.38106 | + | 7.75690i | −0.223519 | + | 0.271712i | ||||
\(816\) | −1.63028 | + | 6.08429i | −0.0570712 | + | 0.212993i | ||||
\(817\) | −9.12224 | + | 2.44430i | −0.319147 | + | 0.0855151i | ||||
\(818\) | −8.96573 | − | 33.4605i | −0.313479 | − | 1.16992i | ||||
\(819\) | −1.74672 | + | 0.468032i | −0.0610354 | + | 0.0163544i | ||||
\(820\) | 12.7640 | − | 15.5161i | 0.445740 | − | 0.541847i | ||||
\(821\) | 17.6107 | − | 30.5026i | 0.614618 | − | 1.06455i | −0.375834 | − | 0.926687i | \(-0.622644\pi\) |
0.990451 | − | 0.137862i | \(-0.0440231\pi\) | |||||||
\(822\) | 19.4744i | 0.679247i | ||||||||
\(823\) | 2.02938 | − | 7.57375i | 0.0707397 | − | 0.264004i | −0.921494 | − | 0.388393i | \(-0.873030\pi\) |
0.992234 | + | 0.124389i | \(0.0396970\pi\) | |||||||
\(824\) | − | 4.69150i | − | 0.163436i | ||||||
\(825\) | −24.4338 | + | 36.3840i | −0.850677 | + | 1.26673i | ||||
\(826\) | 6.34243 | + | 10.9854i | 0.220681 | + | 0.382231i | ||||
\(827\) | 20.3129 | + | 11.7277i | 0.706349 | + | 0.407811i | 0.809708 | − | 0.586834i | \(-0.199626\pi\) |
−0.103359 | + | 0.994644i | \(0.532959\pi\) | |||||||
\(828\) | 0.147312i | 0.00511943i | ||||||||
\(829\) | 22.4913 | + | 6.02652i | 0.781155 | + | 0.209310i | 0.627294 | − | 0.778783i | \(-0.284163\pi\) |
0.153861 | + | 0.988093i | \(0.450829\pi\) | |||||||
\(830\) | −22.6502 | + | 16.1910i | −0.786200 | + | 0.561998i | ||||
\(831\) | 24.6794 | + | 6.61283i | 0.856119 | + | 0.229396i | ||||
\(832\) | 2.03941 | − | 3.53236i | 0.0707037 | − | 0.122462i | ||||
\(833\) | 11.0374 | − | 19.1173i | 0.382423 | − | 0.662376i | ||||
\(834\) | −15.7768 | − | 4.22738i | −0.546306 | − | 0.146382i | ||||
\(835\) | −9.73658 | − | 1.61917i | −0.336948 | − | 0.0560338i | ||||
\(836\) | −31.4402 | − | 8.42438i | −1.08738 | − | 0.291363i | ||||
\(837\) | 26.5596i | 0.918036i | ||||||||
\(838\) | −15.3378 | − | 8.85527i | −0.529835 | − | 0.305900i | ||||
\(839\) | 13.6978 | + | 23.7253i | 0.472900 | + | 0.819087i | 0.999519 | − | 0.0310147i | \(-0.00987385\pi\) |
−0.526619 | + | 0.850101i | \(0.676541\pi\) | |||||||
\(840\) | −2.65157 | + | 3.22328i | −0.0914879 | + | 0.111214i | ||||
\(841\) | − | 38.7768i | − | 1.33713i | ||||||
\(842\) | 4.61170 | − | 17.2111i | 0.158930 | − | 0.593133i | ||||
\(843\) | − | 16.3182i | − | 0.562029i | ||||||
\(844\) | −7.86139 | + | 13.6163i | −0.270600 | + | 0.468693i | ||||
\(845\) | 6.28010 | + | 5.16620i | 0.216042 | + | 0.177723i | ||||
\(846\) | −1.60969 | + | 0.431315i | −0.0553423 | + | 0.0148289i | ||||
\(847\) | 5.48766 | + | 20.4802i | 0.188558 | + | 0.703709i | ||||
\(848\) | 7.61884 | − | 2.04146i | 0.261632 | − | 0.0701041i | ||||
\(849\) | −7.75517 | + | 28.9427i | −0.266157 | + | 0.993310i | ||||
\(850\) | 19.1075 | − | 3.75445i | 0.655382 | − | 0.128777i | ||||
\(851\) | 2.08692 | − | 1.04189i | 0.0715386 | − | 0.0357155i | ||||
\(852\) | 5.54154 | − | 5.54154i | 0.189850 | − | 0.189850i | ||||
\(853\) | 16.2872 | − | 9.40340i | 0.557662 | − | 0.321966i | −0.194544 | − | 0.980894i | \(-0.562323\pi\) |
0.752207 | + | 0.658927i | \(0.228990\pi\) | |||||||
\(854\) | −5.13093 | + | 8.88704i | −0.175577 | + | 0.304108i | ||||
\(855\) | 2.13465 | − | 4.69670i | 0.0730034 | − | 0.160624i | ||||
\(856\) | 0.868218 | + | 3.24023i | 0.0296751 | + | 0.110749i | ||||
\(857\) | − | 33.0001i | − | 1.12726i | −0.826027 | − | 0.563631i | \(-0.809404\pi\) | ||
0.826027 | − | 0.563631i | \(-0.190596\pi\) | |||||||
\(858\) | −34.5342 | + | 9.25341i | −1.17898 | + | 0.315906i | ||||
\(859\) | 14.9683 | + | 14.9683i | 0.510713 | + | 0.510713i | 0.914745 | − | 0.404032i | \(-0.132392\pi\) |
−0.404032 | + | 0.914745i | \(0.632392\pi\) | |||||||
\(860\) | 0.576806 | − | 3.46851i | 0.0196689 | − | 0.118275i | ||||
\(861\) | −16.7715 | −0.571572 | ||||||||
\(862\) | −7.92381 | − | 7.92381i | −0.269886 | − | 0.269886i | ||||
\(863\) | 2.61347 | − | 9.75362i | 0.0889637 | − | 0.332017i | −0.907072 | − | 0.420977i | \(-0.861687\pi\) |
0.996035 | + | 0.0889594i | \(0.0283541\pi\) | |||||||
\(864\) | −5.28689 | + | 1.41662i | −0.179864 | + | 0.0481943i | ||||
\(865\) | −45.3638 | + | 4.41458i | −1.54241 | + | 0.150100i | ||||
\(866\) | 1.32648 | − | 4.95048i | 0.0450755 | − | 0.168224i | ||||
\(867\) | 2.86247 | + | 0.766996i | 0.0972145 | + | 0.0260485i | ||||
\(868\) | −2.80010 | − | 4.84992i | −0.0950416 | − | 0.164617i | ||||
\(869\) | −12.3931 | − | 46.2518i | −0.420409 | − | 1.56899i | ||||
\(870\) | −10.4553 | − | 27.8775i | −0.354467 | − | 0.945136i | ||||
\(871\) | 10.9499 | − | 40.8655i | 0.371022 | − | 1.38467i | ||||
\(872\) | −2.16115 | + | 8.06551i | −0.0731857 | + | 0.273133i | ||||
\(873\) | 0.841941 | + | 1.45829i | 0.0284954 | + | 0.0493555i | ||||
\(874\) | −1.62851 | − | 1.62851i | −0.0550851 | − | 0.0550851i | ||||
\(875\) | 12.5557 | + | 2.97389i | 0.424459 | + | 0.100536i | ||||
\(876\) | 19.0371 | − | 10.9911i | 0.643205 | − | 0.371355i | ||||
\(877\) | 12.2589 | − | 12.2589i | 0.413952 | − | 0.413952i | −0.469161 | − | 0.883113i | \(-0.655444\pi\) |
0.883113 | + | 0.469161i | \(0.155444\pi\) | |||||||
\(878\) | 12.7296 | − | 12.7296i | 0.429602 | − | 0.429602i | ||||
\(879\) | 7.40834 | + | 12.8316i | 0.249877 | + | 0.432800i | ||||
\(880\) | 7.69884 | − | 9.35880i | 0.259528 | − | 0.315485i | ||||
\(881\) | −4.48347 | − | 2.58853i | −0.151052 | − | 0.0872099i | 0.422569 | − | 0.906331i | \(-0.361128\pi\) |
−0.573621 | + | 0.819121i | \(0.694462\pi\) | |||||||
\(882\) | 2.17743 | 0.0733179 | ||||||||
\(883\) | 27.7939 | + | 16.0468i | 0.935338 | + | 0.540017i | 0.888496 | − | 0.458885i | \(-0.151751\pi\) |
0.0468420 | + | 0.998902i | \(0.485084\pi\) | |||||||
\(884\) | 13.7570 | + | 7.94263i | 0.462699 | + | 0.267140i | ||||
\(885\) | −37.2187 | + | 13.9586i | −1.25109 | + | 0.469214i | ||||
\(886\) | −13.0304 | − | 3.49150i | −0.437766 | − | 0.117299i | ||||
\(887\) | 28.3782 | + | 28.3782i | 0.952845 | + | 0.952845i | 0.998937 | − | 0.0460918i | \(-0.0146767\pi\) |
−0.0460918 | + | 0.998937i | \(0.514677\pi\) | |||||||
\(888\) | 6.52278 | + | 7.36475i | 0.218890 | + | 0.247145i | ||||
\(889\) | − | 1.78864i | − | 0.0599892i | ||||||
\(890\) | 19.2559 | + | 26.9378i | 0.645460 | + | 0.902958i | ||||
\(891\) | 36.1397 | + | 20.8653i | 1.21073 | + | 0.699013i | ||||
\(892\) | 10.7656 | − | 2.88463i | 0.360459 | − | 0.0965846i | ||||
\(893\) | 13.0268 | − | 22.5630i | 0.435925 | − | 0.755043i | ||||
\(894\) | −8.23654 | − | 8.23654i | −0.275471 | − | 0.275471i | ||||
\(895\) | −19.3244 | + | 42.5180i | −0.645943 | + | 1.42122i | ||||
\(896\) | 0.816061 | − | 0.816061i | 0.0272627 | − | 0.0272627i | ||||
\(897\) | −2.44350 | − | 0.654734i | −0.0815861 | − | 0.0218609i | ||||
\(898\) | 14.6629 | + | 14.6629i | 0.489306 | + | 0.489306i | ||||
\(899\) | 39.9491 | 1.33238 | ||||||||
\(900\) | 1.26309 | + | 1.44707i | 0.0421030 | + | 0.0482356i | ||||
\(901\) | 7.95063 | + | 29.6722i | 0.264874 | + | 0.988523i | ||||
\(902\) | 48.6961 | 1.62140 | ||||||||
\(903\) | −2.54188 | + | 1.46756i | −0.0845886 | + | 0.0488373i | ||||
\(904\) | −5.90335 | + | 3.40830i | −0.196342 | + | 0.113358i | ||||
\(905\) | 2.06093 | − | 12.3930i | 0.0685077 | − | 0.411958i | ||||
\(906\) | 10.5068 | − | 2.81529i | 0.349065 | − | 0.0935318i | ||||
\(907\) | −1.66040 | − | 0.958632i | −0.0551326 | − | 0.0318308i | 0.472180 | − | 0.881502i | \(-0.343467\pi\) |
−0.527313 | + | 0.849671i | \(0.676800\pi\) | |||||||
\(908\) | −3.07951 | + | 1.77796i | −0.102197 | + | 0.0590035i | ||||
\(909\) | 1.53254 | + | 2.65444i | 0.0508312 | + | 0.0880422i | ||||
\(910\) | 6.12110 | + | 8.56304i | 0.202912 | + | 0.283862i | ||||
\(911\) | −16.5788 | + | 16.5788i | −0.549281 | + | 0.549281i | −0.926233 | − | 0.376952i | \(-0.876972\pi\) |
0.376952 | + | 0.926233i | \(0.376972\pi\) | |||||||
\(912\) | 4.85682 | − | 8.41226i | 0.160825 | − | 0.278558i | ||||
\(913\) | −65.1817 | − | 17.4654i | −2.15720 | − | 0.578020i | ||||
\(914\) | − | 4.25512i | − | 0.140747i | ||||||
\(915\) | −24.8341 | − | 20.4293i | −0.820991 | − | 0.675373i | ||||
\(916\) | −11.7656 | + | 6.79287i | −0.388746 | + | 0.224443i | ||||
\(917\) | 16.8117 | 0.555172 | ||||||||
\(918\) | −5.51712 | − | 20.5902i | −0.182092 | − | 0.679577i | ||||
\(919\) | 36.7182 | − | 36.7182i | 1.21122 | − | 1.21122i | 0.240594 | − | 0.970626i | \(-0.422658\pi\) |
0.970626 | − | 0.240594i | \(-0.0773423\pi\) | |||||||
\(920\) | 0.802853 | − | 0.301105i | 0.0264693 | − | 0.00992714i | ||||
\(921\) | −27.5704 | + | 47.7533i | −0.908474 | + | 1.57352i | ||||
\(922\) | 6.14596 | + | 22.9371i | 0.202407 | + | 0.755392i | ||||
\(923\) | −9.88197 | − | 17.1161i | −0.325269 | − | 0.563383i | ||||
\(924\) | −10.1160 | −0.332792 | ||||||||
\(925\) | 11.5667 | − | 28.1285i | 0.380311 | − | 0.924858i | ||||
\(926\) | −26.3755 | −0.866751 | ||||||||
\(927\) | 0.901135 | + | 1.56081i | 0.0295971 | + | 0.0512638i | ||||
\(928\) | 2.13077 | + | 7.95215i | 0.0699460 | + | 0.261042i | ||||
\(929\) | −10.8007 | + | 18.7074i | −0.354360 | + | 0.613770i | −0.987008 | − | 0.160670i | \(-0.948635\pi\) |
0.632648 | + | 0.774439i | \(0.281968\pi\) | |||||||
\(930\) | 16.4316 | − | 6.16256i | 0.538813 | − | 0.202078i | ||||
\(931\) | −24.0712 | + | 24.0712i | −0.788902 | + | 0.788902i | ||||
\(932\) | −2.78532 | − | 10.3949i | −0.0912361 | − | 0.340498i | ||||
\(933\) | 37.9931 | 1.24384 | ||||||||
\(934\) | 4.17701 | − | 2.41160i | 0.136676 | − | 0.0789100i | ||||
\(935\) | 36.4486 | + | 29.9837i | 1.19200 | + | 0.980572i | ||||
\(936\) | 1.56690i | 0.0512158i | ||||||||
\(937\) | −10.1589 | − | 2.72206i | −0.331876 | − | 0.0889258i | 0.0890335 | − | 0.996029i | \(-0.471622\pi\) |
−0.420909 | + | 0.907103i | \(0.638289\pi\) | |||||||
\(938\) | 5.98531 | − | 10.3669i | 0.195427 | − | 0.338490i | ||||
\(939\) | −13.7993 | + | 13.7993i | −0.450323 | + | 0.450323i | ||||
\(940\) | 5.64090 | + | 7.89127i | 0.183986 | + | 0.257385i | ||||
\(941\) | −20.8136 | − | 36.0502i | −0.678504 | − | 1.17520i | −0.975431 | − | 0.220304i | \(-0.929295\pi\) |
0.296927 | − | 0.954900i | \(-0.404038\pi\) | |||||||
\(942\) | 18.6614 | − | 10.7742i | 0.608021 | − | 0.351041i | ||||
\(943\) | 2.98393 | + | 1.72277i | 0.0971701 | + | 0.0561012i | ||||
\(944\) | 10.6168 | − | 2.84475i | 0.345546 | − | 0.0925887i | ||||
\(945\) | 2.31709 | − | 13.9333i | 0.0753748 | − | 0.453252i | ||||
\(946\) | 7.38036 | − | 4.26106i | 0.239956 | − | 0.138539i | ||||
\(947\) | −20.1967 | + | 11.6606i | −0.656304 | + | 0.378917i | −0.790867 | − | 0.611988i | \(-0.790370\pi\) |
0.134564 | + | 0.990905i | \(0.457037\pi\) | |||||||
\(948\) | 14.2898 | 0.464110 | ||||||||
\(949\) | −14.3481 | − | 53.5479i | −0.465760 | − | 1.73824i | ||||
\(950\) | −29.9604 | − | 2.03384i | −0.972044 | − | 0.0659865i | ||||
\(951\) | −25.6371 | −0.831341 | ||||||||
\(952\) | 3.17821 | + | 3.17821i | 0.103006 | + | 0.103006i | ||||
\(953\) | −10.0369 | − | 2.68937i | −0.325126 | − | 0.0871174i | 0.0925641 | − | 0.995707i | \(-0.470494\pi\) |
−0.417690 | + | 0.908589i | \(0.637160\pi\) | |||||||
\(954\) | −2.14258 | + | 2.14258i | −0.0693687 | + | 0.0693687i | ||||
\(955\) | −8.45494 | + | 18.6028i | −0.273595 | + | 0.601971i | ||||
\(956\) | −15.1319 | − | 15.1319i | −0.489402 | − | 0.489402i | ||||
\(957\) | 36.0813 | − | 62.4946i | 1.16634 | − | 2.02016i | ||||
\(958\) | 39.3150 | − | 10.5344i | 1.27021 | − | 0.340352i | ||||
\(959\) | 12.0345 | + | 6.94809i | 0.388613 | + | 0.224366i | ||||
\(960\) | 2.10312 | + | 2.94213i | 0.0678778 | + | 0.0949568i | ||||
\(961\) | − | 7.45320i | − | 0.240426i | ||||||
\(962\) | 22.1978 | − | 11.0822i | 0.715687 | − | 0.357305i | ||||
\(963\) | −0.911225 | − | 0.911225i | −0.0293638 | − | 0.0293638i | ||||
\(964\) | 7.04781 | + | 1.88845i | 0.226995 | + | 0.0608230i | ||||
\(965\) | −22.3617 | + | 8.38660i | −0.719847 | + | 0.269974i | ||||
\(966\) | −0.619874 | − | 0.357884i | −0.0199441 | − | 0.0115147i | ||||
\(967\) | −19.2414 | − | 11.1090i | −0.618761 | − | 0.357242i | 0.157625 | − | 0.987499i | \(-0.449616\pi\) |
−0.776387 | + | 0.630257i | \(0.782950\pi\) | |||||||
\(968\) | 18.3719 | 0.590494 | ||||||||
\(969\) | 32.7622 | + | 18.9153i | 1.05247 | + | 0.607646i | ||||
\(970\) | 6.22678 | − | 7.56935i | 0.199930 | − | 0.243037i | ||||
\(971\) | −5.81973 | − | 10.0801i | −0.186764 | − | 0.323485i | 0.757405 | − | 0.652945i | \(-0.226467\pi\) |
−0.944170 | + | 0.329460i | \(0.893133\pi\) | |||||||
\(972\) | 2.80480 | − | 2.80480i | 0.0899641 | − | 0.0899641i | ||||
\(973\) | −8.24123 | + | 8.24123i | −0.264202 | + | 0.264202i | ||||
\(974\) | −12.1303 | + | 7.00341i | −0.388679 | + | 0.224404i | ||||
\(975\) | −29.6168 | + | 14.5197i | −0.948497 | + | 0.465002i | ||||
\(976\) | 6.28744 | + | 6.28744i | 0.201256 | + | 0.201256i | ||||
\(977\) | −27.2295 | − | 47.1628i | −0.871147 | − | 1.50887i | −0.860811 | − | 0.508925i | \(-0.830043\pi\) |
−0.0103367 | − | 0.999947i | \(-0.503290\pi\) | |||||||
\(978\) | 1.88034 | − | 7.01751i | 0.0601266 | − | 0.224395i | ||||
\(979\) | −20.7715 | + | 77.5204i | −0.663861 | + | 2.47756i | ||||
\(980\) | −4.45067 | − | 11.8671i | −0.142172 | − | 0.379080i | ||||
\(981\) | −0.830218 | − | 3.09842i | −0.0265068 | − | 0.0989248i | ||||
\(982\) | 7.40852 | + | 12.8319i | 0.236415 | + | 0.409483i | ||||
\(983\) | −15.4801 | − | 4.14789i | −0.493740 | − | 0.132297i | 0.00335334 | − | 0.999994i | \(-0.498933\pi\) |
−0.497093 | + | 0.867697i | \(0.665599\pi\) | |||||||
\(984\) | −3.76124 | + | 14.0371i | −0.119904 | + | 0.447488i | ||||
\(985\) | 3.86668 | − | 0.376286i | 0.123203 | − | 0.0119895i | ||||
\(986\) | −30.9702 | + | 8.29845i | −0.986293 | + | 0.264277i | ||||
\(987\) | 2.09571 | − | 7.82129i | 0.0667071 | − | 0.248954i | ||||
\(988\) | −17.3219 | − | 17.3219i | −0.551083 | − | 0.551083i | ||||
\(989\) | 0.602990 | 0.0191740 | ||||||||
\(990\) | −0.763698 | + | 4.59235i | −0.0242719 | + | 0.145954i | ||||
\(991\) | −18.9057 | − | 18.9057i | −0.600559 | − | 0.600559i | 0.339902 | − | 0.940461i | \(-0.389606\pi\) |
−0.940461 | + | 0.339902i | \(0.889606\pi\) | |||||||
\(992\) | −4.68716 | + | 1.25592i | −0.148817 | + | 0.0398755i | ||||
\(993\) | − | 0.874659i | − | 0.0277565i | ||||||
\(994\) | −1.44735 | − | 5.40159i | −0.0459072 | − | 0.171328i | ||||
\(995\) | −14.2106 | + | 31.2665i | −0.450507 | + | 0.991216i | ||||
\(996\) | 10.0691 | − | 17.4403i | 0.319053 | − | 0.552616i | ||||
\(997\) | 22.4744 | − | 12.9756i | 0.711772 | − | 0.410942i | −0.0999446 | − | 0.994993i | \(-0.531867\pi\) |
0.811717 | + | 0.584051i | \(0.198533\pi\) | |||||||
\(998\) | −24.0931 | + | 24.0931i | −0.762654 | + | 0.762654i | ||||
\(999\) | −31.5785 | − | 10.5473i | −0.999099 | − | 0.333702i |
(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 | 370.2.q.f.103.4 | yes | 32 | |
5.2 | odd | 4 | 370.2.r.f.177.4 | yes | 32 | ||
37.23 | odd | 12 | 370.2.r.f.23.4 | yes | 32 | ||
185.97 | even | 12 | inner | 370.2.q.f.97.4 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.f.97.4 | ✓ | 32 | 185.97 | even | 12 | inner | |
370.2.q.f.103.4 | yes | 32 | 1.1 | even | 1 | trivial | |
370.2.r.f.23.4 | yes | 32 | 37.23 | odd | 12 | ||
370.2.r.f.177.4 | yes | 32 | 5.2 | odd | 4 |