Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(71,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([6, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.h (of order \(5\), 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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 3 x^{19} + 15 x^{18} - 30 x^{17} + 145 x^{16} - 194 x^{15} + 1187 x^{14} - 1490 x^{13} + 10170 x^{12} - 13920 x^{11} + 42087 x^{10} - 591 x^{9} + 65635 x^{8} + 120715 x^{7} + \cdots + 400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 71.3 | ||
Root | \(-0.210620 - 0.153024i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.71 |
Dual form | 350.2.h.d.281.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.951057i | −0.218508 | + | 0.672499i | ||||
\(3\) | −0.210620 | − | 0.153024i | −0.121602 | − | 0.0883487i | 0.525322 | − | 0.850903i | \(-0.323945\pi\) |
−0.646924 | + | 0.762555i | \(0.723945\pi\) | |||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −2.22785 | + | 0.191483i | −0.996327 | + | 0.0856336i | ||||
\(6\) | 0.210620 | − | 0.153024i | 0.0859853 | − | 0.0624720i | ||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | −0.906107 | − | 2.78871i | −0.302036 | − | 0.929570i | ||||
\(10\) | 0.506334 | − | 2.17799i | 0.160117 | − | 0.688740i | ||||
\(11\) | 0.834544 | − | 2.56846i | 0.251625 | − | 0.774421i | −0.742851 | − | 0.669456i | \(-0.766527\pi\) |
0.994476 | − | 0.104964i | \(-0.0334729\pi\) | |||||||
\(12\) | 0.0804497 | + | 0.247599i | 0.0232238 | + | 0.0714756i | ||||
\(13\) | −0.226014 | − | 0.695599i | −0.0626850 | − | 0.192925i | 0.914809 | − | 0.403886i | \(-0.132341\pi\) |
−0.977494 | + | 0.210961i | \(0.932341\pi\) | |||||||
\(14\) | −0.309017 | + | 0.951057i | −0.0825883 | + | 0.254181i | ||||
\(15\) | 0.498532 | + | 0.300586i | 0.128720 | + | 0.0776110i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 4.53660 | − | 3.29603i | 1.10029 | − | 0.799405i | 0.119180 | − | 0.992873i | \(-0.461973\pi\) |
0.981107 | + | 0.193467i | \(0.0619733\pi\) | |||||||
\(18\) | 2.93222 | 0.691132 | ||||||||
\(19\) | −2.27661 | + | 1.65405i | −0.522289 | + | 0.379465i | −0.817466 | − | 0.575978i | \(-0.804622\pi\) |
0.295176 | + | 0.955443i | \(0.404622\pi\) | |||||||
\(20\) | 1.91492 | + | 1.15459i | 0.428190 | + | 0.258174i | ||||
\(21\) | −0.210620 | − | 0.153024i | −0.0459611 | − | 0.0333927i | ||||
\(22\) | 2.18487 | + | 1.58740i | 0.465815 | + | 0.338434i | ||||
\(23\) | 2.10131 | − | 6.46716i | 0.438153 | − | 1.34850i | −0.451668 | − | 0.892186i | \(-0.649171\pi\) |
0.889821 | − | 0.456310i | \(-0.150829\pi\) | |||||||
\(24\) | −0.260341 | −0.0531418 | ||||||||
\(25\) | 4.92667 | − | 0.853190i | 0.985334 | − | 0.170638i | ||||
\(26\) | 0.731396 | 0.143439 | ||||||||
\(27\) | −0.477246 | + | 1.46881i | −0.0918459 | + | 0.282673i | ||||
\(28\) | −0.809017 | − | 0.587785i | −0.152890 | − | 0.111081i | ||||
\(29\) | −7.07711 | − | 5.14182i | −1.31419 | − | 0.954813i | −0.999985 | − | 0.00545678i | \(-0.998263\pi\) |
−0.314202 | − | 0.949356i | \(-0.601737\pi\) | |||||||
\(30\) | −0.439929 | + | 0.381246i | −0.0803197 | + | 0.0696057i | ||||
\(31\) | 1.67982 | − | 1.22046i | 0.301705 | − | 0.219201i | −0.426624 | − | 0.904429i | \(-0.640297\pi\) |
0.728329 | + | 0.685228i | \(0.240297\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −0.568809 | + | 0.413264i | −0.0990170 | + | 0.0719400i | ||||
\(34\) | 1.73283 | + | 5.33309i | 0.297177 | + | 0.914618i | ||||
\(35\) | −2.22785 | + | 0.191483i | −0.376576 | + | 0.0323665i | ||||
\(36\) | −0.906107 | + | 2.78871i | −0.151018 | + | 0.464785i | ||||
\(37\) | 0.994531 | + | 3.06085i | 0.163500 | + | 0.503201i | 0.998923 | − | 0.0464070i | \(-0.0147771\pi\) |
−0.835423 | + | 0.549608i | \(0.814777\pi\) | |||||||
\(38\) | −0.869586 | − | 2.67631i | −0.141065 | − | 0.434155i | ||||
\(39\) | −0.0588406 | + | 0.181093i | −0.00942204 | + | 0.0289981i | ||||
\(40\) | −1.68982 | + | 1.46441i | −0.267184 | + | 0.231544i | ||||
\(41\) | −0.0344775 | − | 0.106111i | −0.00538448 | − | 0.0165717i | 0.948328 | − | 0.317291i | \(-0.102773\pi\) |
−0.953713 | + | 0.300719i | \(0.902773\pi\) | |||||||
\(42\) | 0.210620 | − | 0.153024i | 0.0324994 | − | 0.0236122i | ||||
\(43\) | −1.32971 | −0.202779 | −0.101390 | − | 0.994847i | \(-0.532329\pi\) | ||||
−0.101390 | + | 0.994847i | \(0.532329\pi\) | |||||||
\(44\) | −2.18487 | + | 1.58740i | −0.329381 | + | 0.239309i | ||||
\(45\) | 2.55266 | + | 6.03933i | 0.380528 | + | 0.900291i | ||||
\(46\) | 5.50130 | + | 3.99693i | 0.811122 | + | 0.589315i | ||||
\(47\) | −1.23733 | − | 0.898974i | −0.180483 | − | 0.131129i | 0.493875 | − | 0.869533i | \(-0.335580\pi\) |
−0.674359 | + | 0.738404i | \(0.735580\pi\) | |||||||
\(48\) | 0.0804497 | − | 0.247599i | 0.0116119 | − | 0.0357378i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −0.710992 | + | 4.94919i | −0.100549 | + | 0.699921i | ||||
\(51\) | −1.45987 | −0.204423 | ||||||||
\(52\) | −0.226014 | + | 0.695599i | −0.0313425 | + | 0.0964623i | ||||
\(53\) | −1.73372 | − | 1.25962i | −0.238145 | − | 0.173023i | 0.462311 | − | 0.886718i | \(-0.347020\pi\) |
−0.700457 | + | 0.713695i | \(0.747020\pi\) | |||||||
\(54\) | −1.24944 | − | 0.907775i | −0.170028 | − | 0.123533i | ||||
\(55\) | −1.36743 | + | 5.88196i | −0.184384 | + | 0.793124i | ||||
\(56\) | 0.809017 | − | 0.587785i | 0.108109 | − | 0.0785461i | ||||
\(57\) | 0.732609 | 0.0970364 | ||||||||
\(58\) | 7.07711 | − | 5.14182i | 0.929271 | − | 0.675155i | ||||
\(59\) | −0.278337 | − | 0.856632i | −0.0362363 | − | 0.111524i | 0.931302 | − | 0.364247i | \(-0.118674\pi\) |
−0.967539 | + | 0.252723i | \(0.918674\pi\) | |||||||
\(60\) | −0.226641 | − | 0.536209i | −0.0292592 | − | 0.0692243i | ||||
\(61\) | −4.23509 | + | 13.0343i | −0.542247 | + | 1.66887i | 0.185199 | + | 0.982701i | \(0.440707\pi\) |
−0.727446 | + | 0.686164i | \(0.759293\pi\) | |||||||
\(62\) | 0.641634 | + | 1.97475i | 0.0814877 | + | 0.250793i | ||||
\(63\) | −0.906107 | − | 2.78871i | −0.114159 | − | 0.351344i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 0.636721 | + | 1.50642i | 0.0789755 | + | 0.186848i | ||||
\(66\) | −0.217266 | − | 0.668675i | −0.0267436 | − | 0.0823083i | ||||
\(67\) | 7.07116 | − | 5.13750i | 0.863879 | − | 0.627645i | −0.0650583 | − | 0.997881i | \(-0.520723\pi\) |
0.928938 | + | 0.370236i | \(0.120723\pi\) | |||||||
\(68\) | −5.60755 | −0.680015 | ||||||||
\(69\) | −1.43221 | + | 1.04056i | −0.172418 | + | 0.125269i | ||||
\(70\) | 0.506334 | − | 2.17799i | 0.0605185 | − | 0.260319i | ||||
\(71\) | −4.83843 | − | 3.51533i | −0.574216 | − | 0.417192i | 0.262418 | − | 0.964954i | \(-0.415480\pi\) |
−0.836634 | + | 0.547762i | \(0.815480\pi\) | |||||||
\(72\) | −2.37222 | − | 1.72352i | −0.279569 | − | 0.203118i | ||||
\(73\) | −0.619148 | + | 1.90554i | −0.0724658 | + | 0.223027i | −0.980729 | − | 0.195372i | \(-0.937409\pi\) |
0.908263 | + | 0.418399i | \(0.137409\pi\) | |||||||
\(74\) | −3.21837 | −0.374128 | ||||||||
\(75\) | −1.16821 | − | 0.574202i | −0.134894 | − | 0.0663031i | ||||
\(76\) | 2.81404 | 0.322792 | ||||||||
\(77\) | 0.834544 | − | 2.56846i | 0.0951051 | − | 0.292704i | ||||
\(78\) | −0.154047 | − | 0.111921i | −0.0174424 | − | 0.0126726i | ||||
\(79\) | −11.8160 | − | 8.58481i | −1.32940 | − | 0.965866i | −0.999763 | − | 0.0217586i | \(-0.993073\pi\) |
−0.329637 | − | 0.944108i | \(-0.606927\pi\) | |||||||
\(80\) | −0.870556 | − | 2.05964i | −0.0973311 | − | 0.230275i | ||||
\(81\) | −6.79137 | + | 4.93422i | −0.754597 | + | 0.548247i | ||||
\(82\) | 0.111572 | 0.0123210 | ||||||||
\(83\) | 7.00971 | − | 5.09285i | 0.769415 | − | 0.559013i | −0.132368 | − | 0.991201i | \(-0.542258\pi\) |
0.901784 | + | 0.432188i | \(0.142258\pi\) | |||||||
\(84\) | 0.0804497 | + | 0.247599i | 0.00877778 | + | 0.0270152i | ||||
\(85\) | −9.47575 | + | 8.21176i | −1.02779 | + | 0.890690i | ||||
\(86\) | 0.410904 | − | 1.26463i | 0.0443089 | − | 0.136369i | ||||
\(87\) | 0.703757 | + | 2.16594i | 0.0754507 | + | 0.232213i | ||||
\(88\) | −0.834544 | − | 2.56846i | −0.0889627 | − | 0.273799i | ||||
\(89\) | −3.82966 | + | 11.7865i | −0.405943 | + | 1.24936i | 0.514163 | + | 0.857693i | \(0.328103\pi\) |
−0.920106 | + | 0.391671i | \(0.871897\pi\) | |||||||
\(90\) | −6.53256 | + | 0.561469i | −0.688593 | + | 0.0591841i | ||||
\(91\) | −0.226014 | − | 0.695599i | −0.0236927 | − | 0.0729186i | ||||
\(92\) | −5.50130 | + | 3.99693i | −0.573550 | + | 0.416708i | ||||
\(93\) | −0.540564 | −0.0560539 | ||||||||
\(94\) | 1.23733 | − | 0.898974i | 0.127621 | − | 0.0927221i | ||||
\(95\) | 4.75522 | − | 4.12091i | 0.487876 | − | 0.422797i | ||||
\(96\) | 0.210620 | + | 0.153024i | 0.0214963 | + | 0.0156180i | ||||
\(97\) | 11.0243 | + | 8.00962i | 1.11935 | + | 0.813254i | 0.984110 | − | 0.177559i | \(-0.0568200\pi\) |
0.135238 | + | 0.990813i | \(0.456820\pi\) | |||||||
\(98\) | −0.309017 | + | 0.951057i | −0.0312154 | + | 0.0960712i | ||||
\(99\) | −7.91888 | −0.795878 | ||||||||
\(100\) | −4.48725 | − | 2.20558i | −0.448725 | − | 0.220558i | ||||
\(101\) | 1.16599 | 0.116021 | 0.0580104 | − | 0.998316i | \(-0.481524\pi\) | ||||
0.0580104 | + | 0.998316i | \(0.481524\pi\) | |||||||
\(102\) | 0.451125 | − | 1.38842i | 0.0446681 | − | 0.137474i | ||||
\(103\) | −7.26052 | − | 5.27508i | −0.715400 | − | 0.519769i | 0.169511 | − | 0.985528i | \(-0.445781\pi\) |
−0.884911 | + | 0.465760i | \(0.845781\pi\) | |||||||
\(104\) | −0.591712 | − | 0.429904i | −0.0580221 | − | 0.0421556i | ||||
\(105\) | 0.498532 | + | 0.300586i | 0.0486518 | + | 0.0293342i | ||||
\(106\) | 1.73372 | − | 1.25962i | 0.168394 | − | 0.122345i | ||||
\(107\) | 12.0149 | 1.16152 | 0.580760 | − | 0.814075i | \(-0.302755\pi\) | ||||
0.580760 | + | 0.814075i | \(0.302755\pi\) | |||||||
\(108\) | 1.24944 | − | 0.907775i | 0.120228 | − | 0.0873507i | ||||
\(109\) | 0.178310 | + | 0.548782i | 0.0170790 | + | 0.0525638i | 0.959233 | − | 0.282617i | \(-0.0912026\pi\) |
−0.942154 | + | 0.335181i | \(0.891203\pi\) | |||||||
\(110\) | −5.17152 | − | 3.11813i | −0.493085 | − | 0.297302i | ||||
\(111\) | 0.258917 | − | 0.796864i | 0.0245753 | − | 0.0756350i | ||||
\(112\) | 0.309017 | + | 0.951057i | 0.0291994 | + | 0.0898664i | ||||
\(113\) | 2.00420 | + | 6.16830i | 0.188539 | + | 0.580265i | 0.999991 | − | 0.00415434i | \(-0.00132237\pi\) |
−0.811452 | + | 0.584419i | \(0.801322\pi\) | |||||||
\(114\) | −0.226389 | + | 0.696752i | −0.0212032 | + | 0.0652568i | ||||
\(115\) | −3.44306 | + | 14.8103i | −0.321067 | + | 1.38106i | ||||
\(116\) | 2.70322 | + | 8.31965i | 0.250987 | + | 0.772460i | ||||
\(117\) | −1.73503 | + | 1.26057i | −0.160404 | + | 0.116540i | ||||
\(118\) | 0.900716 | 0.0829177 | ||||||||
\(119\) | 4.53660 | − | 3.29603i | 0.415869 | − | 0.302147i | ||||
\(120\) | 0.580001 | − | 0.0498507i | 0.0529466 | − | 0.00455072i | ||||
\(121\) | 2.99865 | + | 2.17865i | 0.272604 | + | 0.198059i | ||||
\(122\) | −11.0876 | − | 8.05561i | −1.00382 | − | 0.729321i | ||||
\(123\) | −0.00897590 | + | 0.0276250i | −0.000809329 | + | 0.00249086i | ||||
\(124\) | −2.07637 | −0.186464 | ||||||||
\(125\) | −10.8125 | + | 2.84415i | −0.967102 | + | 0.254389i | ||||
\(126\) | 2.93222 | 0.261223 | ||||||||
\(127\) | −1.55635 | + | 4.78994i | −0.138103 | + | 0.425038i | −0.996060 | − | 0.0886840i | \(-0.971734\pi\) |
0.857956 | + | 0.513722i | \(0.171734\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | 0.280064 | + | 0.203478i | 0.0246583 | + | 0.0179153i | ||||
\(130\) | −1.62944 | + | 0.140050i | −0.142912 | + | 0.0122832i | ||||
\(131\) | 1.92159 | − | 1.39612i | 0.167890 | − | 0.121980i | −0.500667 | − | 0.865640i | \(-0.666912\pi\) |
0.668558 | + | 0.743660i | \(0.266912\pi\) | |||||||
\(132\) | 0.703087 | 0.0611959 | ||||||||
\(133\) | −2.27661 | + | 1.65405i | −0.197407 | + | 0.143424i | ||||
\(134\) | 2.70094 | + | 8.31264i | 0.233326 | + | 0.718103i | ||||
\(135\) | 0.781982 | − | 3.36368i | 0.0673023 | − | 0.289499i | ||||
\(136\) | 1.73283 | − | 5.33309i | 0.148589 | − | 0.457309i | ||||
\(137\) | −6.30161 | − | 19.3944i | −0.538383 | − | 1.65697i | −0.736224 | − | 0.676738i | \(-0.763393\pi\) |
0.197841 | − | 0.980234i | \(-0.436607\pi\) | |||||||
\(138\) | −0.547056 | − | 1.68367i | −0.0465685 | − | 0.143323i | ||||
\(139\) | 6.52800 | − | 20.0911i | 0.553698 | − | 1.70411i | −0.145659 | − | 0.989335i | \(-0.546530\pi\) |
0.699357 | − | 0.714772i | \(-0.253470\pi\) | |||||||
\(140\) | 1.91492 | + | 1.15459i | 0.161840 | + | 0.0975804i | ||||
\(141\) | 0.123042 | + | 0.378684i | 0.0103620 | + | 0.0318909i | ||||
\(142\) | 4.83843 | − | 3.51533i | 0.406032 | − | 0.295000i | ||||
\(143\) | −1.97524 | −0.165178 | ||||||||
\(144\) | 2.37222 | − | 1.72352i | 0.197685 | − | 0.143626i | ||||
\(145\) | 16.7513 | + | 10.1001i | 1.39112 | + | 0.838767i | ||||
\(146\) | −1.62095 | − | 1.17769i | −0.134151 | − | 0.0974663i | ||||
\(147\) | −0.210620 | − | 0.153024i | −0.0173716 | − | 0.0126212i | ||||
\(148\) | 0.994531 | − | 3.06085i | 0.0817499 | − | 0.251600i | ||||
\(149\) | 18.9517 | 1.55258 | 0.776292 | − | 0.630374i | \(-0.217098\pi\) | ||||
0.776292 | + | 0.630374i | \(0.217098\pi\) | |||||||
\(150\) | 0.907096 | − | 0.933600i | 0.0740641 | − | 0.0762281i | ||||
\(151\) | 15.6926 | 1.27704 | 0.638521 | − | 0.769604i | \(-0.279546\pi\) | ||||
0.638521 | + | 0.769604i | \(0.279546\pi\) | |||||||
\(152\) | −0.869586 | + | 2.67631i | −0.0705327 | + | 0.217077i | ||||
\(153\) | −13.3023 | − | 9.66470i | −1.07543 | − | 0.781345i | ||||
\(154\) | 2.18487 | + | 1.58740i | 0.176061 | + | 0.127916i | ||||
\(155\) | −3.50870 | + | 3.04067i | −0.281825 | + | 0.244232i | ||||
\(156\) | 0.154047 | − | 0.111921i | 0.0123336 | − | 0.00896089i | ||||
\(157\) | 14.1393 | 1.12844 | 0.564220 | − | 0.825624i | \(-0.309177\pi\) | ||||
0.564220 | + | 0.825624i | \(0.309177\pi\) | |||||||
\(158\) | 11.8160 | − | 8.58481i | 0.940028 | − | 0.682971i | ||||
\(159\) | 0.172404 | + | 0.530604i | 0.0136725 | + | 0.0420796i | ||||
\(160\) | 2.22785 | − | 0.191483i | 0.176127 | − | 0.0151380i | ||||
\(161\) | 2.10131 | − | 6.46716i | 0.165606 | − | 0.509684i | ||||
\(162\) | −2.59407 | − | 7.98374i | −0.203810 | − | 0.627262i | ||||
\(163\) | 6.07451 | + | 18.6954i | 0.475793 | + | 1.46434i | 0.844886 | + | 0.534947i | \(0.179668\pi\) |
−0.369093 | + | 0.929392i | \(0.620332\pi\) | |||||||
\(164\) | −0.0344775 | + | 0.106111i | −0.00269224 | + | 0.00828587i | ||||
\(165\) | 1.18809 | − | 1.02961i | 0.0924928 | − | 0.0801550i | ||||
\(166\) | 2.67747 | + | 8.24041i | 0.207812 | + | 0.639580i | ||||
\(167\) | 8.32894 | − | 6.05133i | 0.644513 | − | 0.468266i | −0.216885 | − | 0.976197i | \(-0.569590\pi\) |
0.861398 | + | 0.507931i | \(0.169590\pi\) | |||||||
\(168\) | −0.260341 | −0.0200857 | ||||||||
\(169\) | 10.0844 | − | 7.32678i | 0.775727 | − | 0.563598i | ||||
\(170\) | −4.88168 | − | 11.5495i | −0.374408 | − | 0.885810i | ||||
\(171\) | 6.67551 | + | 4.85004i | 0.510489 | + | 0.370892i | ||||
\(172\) | 1.07576 | + | 0.781585i | 0.0820259 | + | 0.0595953i | ||||
\(173\) | −6.86835 | + | 21.1386i | −0.522191 | + | 1.60714i | 0.247614 | + | 0.968859i | \(0.420354\pi\) |
−0.769805 | + | 0.638279i | \(0.779646\pi\) | |||||||
\(174\) | −2.27741 | −0.172650 | ||||||||
\(175\) | 4.92667 | − | 0.853190i | 0.372421 | − | 0.0644951i | ||||
\(176\) | 2.70064 | 0.203569 | ||||||||
\(177\) | −0.0724624 | + | 0.223016i | −0.00544660 | + | 0.0167629i | ||||
\(178\) | −10.0262 | − | 7.28444i | −0.751493 | − | 0.545992i | ||||
\(179\) | −13.3579 | − | 9.70512i | −0.998420 | − | 0.725394i | −0.0366711 | − | 0.999327i | \(-0.511675\pi\) |
−0.961749 | + | 0.273933i | \(0.911675\pi\) | |||||||
\(180\) | 1.48468 | − | 6.38634i | 0.110662 | − | 0.476010i | ||||
\(181\) | −16.2060 | + | 11.7743i | −1.20458 | + | 0.875179i | −0.994727 | − | 0.102554i | \(-0.967299\pi\) |
−0.209853 | + | 0.977733i | \(0.567299\pi\) | |||||||
\(182\) | 0.731396 | 0.0542147 | ||||||||
\(183\) | 2.88655 | − | 2.09720i | 0.213380 | − | 0.155030i | ||||
\(184\) | −2.10131 | − | 6.46716i | −0.154911 | − | 0.476766i | ||||
\(185\) | −2.80177 | − | 6.62870i | −0.205990 | − | 0.487351i | ||||
\(186\) | 0.167044 | − | 0.514107i | 0.0122482 | − | 0.0376962i | ||||
\(187\) | −4.67975 | − | 14.4028i | −0.342217 | − | 1.05324i | ||||
\(188\) | 0.472618 | + | 1.45457i | 0.0344692 | + | 0.106085i | ||||
\(189\) | −0.477246 | + | 1.46881i | −0.0347145 | + | 0.106840i | ||||
\(190\) | 2.44978 | + | 5.79592i | 0.177725 | + | 0.420480i | ||||
\(191\) | 2.89646 | + | 8.91438i | 0.209580 | + | 0.645022i | 0.999494 | + | 0.0318040i | \(0.0101252\pi\) |
−0.789914 | + | 0.613218i | \(0.789875\pi\) | |||||||
\(192\) | −0.210620 | + | 0.153024i | −0.0152002 | + | 0.0110436i | ||||
\(193\) | 13.6766 | 0.984466 | 0.492233 | − | 0.870463i | \(-0.336181\pi\) | ||||
0.492233 | + | 0.870463i | \(0.336181\pi\) | |||||||
\(194\) | −11.0243 | + | 8.00962i | −0.791499 | + | 0.575058i | ||||
\(195\) | 0.0964122 | − | 0.414715i | 0.00690422 | − | 0.0296984i | ||||
\(196\) | −0.809017 | − | 0.587785i | −0.0577869 | − | 0.0419847i | ||||
\(197\) | 13.3810 | + | 9.72185i | 0.953355 | + | 0.692653i | 0.951598 | − | 0.307345i | \(-0.0994407\pi\) |
0.00175716 | + | 0.999998i | \(0.499441\pi\) | |||||||
\(198\) | 2.44707 | − | 7.53131i | 0.173906 | − | 0.535227i | ||||
\(199\) | 21.5458 | 1.52734 | 0.763671 | − | 0.645606i | \(-0.223395\pi\) | ||||
0.763671 | + | 0.645606i | \(0.223395\pi\) | |||||||
\(200\) | 3.48427 | − | 3.58607i | 0.246375 | − | 0.253573i | ||||
\(201\) | −2.27549 | −0.160501 | ||||||||
\(202\) | −0.360312 | + | 1.10893i | −0.0253515 | + | 0.0780238i | ||||
\(203\) | −7.07711 | − | 5.14182i | −0.496716 | − | 0.360885i | ||||
\(204\) | 1.18106 | + | 0.858091i | 0.0826908 | + | 0.0600784i | ||||
\(205\) | 0.0971292 | + | 0.229798i | 0.00678380 | + | 0.0160498i | ||||
\(206\) | 7.26052 | − | 5.27508i | 0.505864 | − | 0.367532i | ||||
\(207\) | −19.9390 | −1.38586 | ||||||||
\(208\) | 0.591712 | − | 0.429904i | 0.0410279 | − | 0.0298085i | ||||
\(209\) | 2.34844 | + | 7.22775i | 0.162445 | + | 0.499954i | ||||
\(210\) | −0.439929 | + | 0.381246i | −0.0303580 | + | 0.0263085i | ||||
\(211\) | 3.68341 | − | 11.3364i | 0.253576 | − | 0.780427i | −0.740531 | − | 0.672023i | \(-0.765426\pi\) |
0.994107 | − | 0.108405i | \(-0.0345742\pi\) | |||||||
\(212\) | 0.662223 | + | 2.03811i | 0.0454817 | + | 0.139978i | ||||
\(213\) | 0.481140 | + | 1.48080i | 0.0329672 | + | 0.101462i | ||||
\(214\) | −3.71280 | + | 11.4268i | −0.253802 | + | 0.781121i | ||||
\(215\) | 2.96240 | − | 0.254617i | 0.202034 | − | 0.0173647i | ||||
\(216\) | 0.477246 | + | 1.46881i | 0.0324724 | + | 0.0999399i | ||||
\(217\) | 1.67982 | − | 1.22046i | 0.114034 | − | 0.0828503i | ||||
\(218\) | −0.577024 | −0.0390810 | ||||||||
\(219\) | 0.422000 | − | 0.306601i | 0.0285161 | − | 0.0207182i | ||||
\(220\) | 4.56360 | − | 3.95485i | 0.307678 | − | 0.266636i | ||||
\(221\) | −3.31805 | − | 2.41071i | −0.223196 | − | 0.162162i | ||||
\(222\) | 0.677853 | + | 0.492489i | 0.0454945 | + | 0.0330537i | ||||
\(223\) | −1.65289 | + | 5.08707i | −0.110686 | + | 0.340656i | −0.991023 | − | 0.133693i | \(-0.957316\pi\) |
0.880337 | + | 0.474349i | \(0.157316\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | −6.84339 | − | 12.9660i | −0.456226 | − | 0.864398i | ||||
\(226\) | −6.48574 | −0.431425 | ||||||||
\(227\) | −1.58935 | + | 4.89150i | −0.105489 | + | 0.324661i | −0.989845 | − | 0.142152i | \(-0.954598\pi\) |
0.884356 | + | 0.466813i | \(0.154598\pi\) | |||||||
\(228\) | −0.592693 | − | 0.430617i | −0.0392520 | − | 0.0285183i | ||||
\(229\) | 0.935736 | + | 0.679852i | 0.0618352 | + | 0.0449259i | 0.618273 | − | 0.785963i | \(-0.287832\pi\) |
−0.556438 | + | 0.830889i | \(0.687832\pi\) | |||||||
\(230\) | −13.0214 | − | 7.85117i | −0.858608 | − | 0.517691i | ||||
\(231\) | −0.568809 | + | 0.413264i | −0.0374249 | + | 0.0271908i | ||||
\(232\) | −8.74779 | −0.574321 | ||||||||
\(233\) | 4.87967 | − | 3.54529i | 0.319678 | − | 0.232259i | −0.416360 | − | 0.909200i | \(-0.636695\pi\) |
0.736038 | + | 0.676940i | \(0.236695\pi\) | |||||||
\(234\) | −0.662723 | − | 2.03965i | −0.0433236 | − | 0.133336i | ||||
\(235\) | 2.92873 | + | 1.76585i | 0.191049 | + | 0.115192i | ||||
\(236\) | −0.278337 | + | 0.856632i | −0.0181182 | + | 0.0557620i | ||||
\(237\) | 1.17500 | + | 3.61626i | 0.0763242 | + | 0.234902i | ||||
\(238\) | 1.73283 | + | 5.33309i | 0.112322 | + | 0.345693i | ||||
\(239\) | 1.66827 | − | 5.13442i | 0.107912 | − | 0.332118i | −0.882491 | − | 0.470329i | \(-0.844135\pi\) |
0.990403 | + | 0.138211i | \(0.0441352\pi\) | |||||||
\(240\) | −0.131819 | + | 0.567019i | −0.00850890 | + | 0.0366009i | ||||
\(241\) | −5.16692 | − | 15.9021i | −0.332830 | − | 1.02435i | −0.967781 | − | 0.251794i | \(-0.918980\pi\) |
0.634951 | − | 0.772553i | \(-0.281020\pi\) | |||||||
\(242\) | −2.99865 | + | 2.17865i | −0.192760 | + | 0.140049i | ||||
\(243\) | 6.81865 | 0.437417 | ||||||||
\(244\) | 11.0876 | − | 8.05561i | 0.709811 | − | 0.515708i | ||||
\(245\) | −2.22785 | + | 0.191483i | −0.142332 | + | 0.0122334i | ||||
\(246\) | −0.0234992 | − | 0.0170732i | −0.00149825 | − | 0.00108855i | ||||
\(247\) | 1.66510 | + | 1.20977i | 0.105948 | + | 0.0769756i | ||||
\(248\) | 0.641634 | − | 1.97475i | 0.0407438 | − | 0.125397i | ||||
\(249\) | −2.25572 | −0.142950 | ||||||||
\(250\) | 0.636303 | − | 11.1622i | 0.0402434 | − | 0.705961i | ||||
\(251\) | −5.57003 | −0.351577 | −0.175789 | − | 0.984428i | \(-0.556248\pi\) | ||||
−0.175789 | + | 0.984428i | \(0.556248\pi\) | |||||||
\(252\) | −0.906107 | + | 2.78871i | −0.0570794 | + | 0.175672i | ||||
\(253\) | −14.8570 | − | 10.7943i | −0.934054 | − | 0.678630i | ||||
\(254\) | −4.07457 | − | 2.96035i | −0.255661 | − | 0.185749i | ||||
\(255\) | 3.25238 | − | 0.279540i | 0.203672 | − | 0.0175055i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −8.63967 | −0.538928 | −0.269464 | − | 0.963010i | \(-0.586847\pi\) | ||||
−0.269464 | + | 0.963010i | \(0.586847\pi\) | |||||||
\(258\) | −0.280064 | + | 0.203478i | −0.0174360 | + | 0.0126680i | ||||
\(259\) | 0.994531 | + | 3.06085i | 0.0617971 | + | 0.190192i | ||||
\(260\) | 0.370331 | − | 1.59297i | 0.0229669 | − | 0.0987919i | ||||
\(261\) | −7.92644 | + | 24.3951i | −0.490634 | + | 1.51002i | ||||
\(262\) | 0.733984 | + | 2.25897i | 0.0453457 | + | 0.139560i | ||||
\(263\) | 8.58388 | + | 26.4185i | 0.529305 | + | 1.62903i | 0.755643 | + | 0.654984i | \(0.227324\pi\) |
−0.226338 | + | 0.974049i | \(0.572676\pi\) | |||||||
\(264\) | −0.217266 | + | 0.668675i | −0.0133718 | + | 0.0411541i | ||||
\(265\) | 4.10368 | + | 2.47428i | 0.252087 | + | 0.151994i | ||||
\(266\) | −0.869586 | − | 2.67631i | −0.0533177 | − | 0.164095i | ||||
\(267\) | 2.61022 | − | 1.89644i | 0.159743 | − | 0.116060i | ||||
\(268\) | −8.74043 | −0.533907 | ||||||||
\(269\) | −14.0922 | + | 10.2386i | −0.859214 | + | 0.624256i | −0.927671 | − | 0.373399i | \(-0.878192\pi\) |
0.0684570 | + | 0.997654i | \(0.478192\pi\) | |||||||
\(270\) | 2.95740 | + | 1.78314i | 0.179982 | + | 0.108519i | ||||
\(271\) | −7.73173 | − | 5.61743i | −0.469669 | − | 0.341235i | 0.327643 | − | 0.944802i | \(-0.393746\pi\) |
−0.797312 | + | 0.603567i | \(0.793746\pi\) | |||||||
\(272\) | 4.53660 | + | 3.29603i | 0.275072 | + | 0.199851i | ||||
\(273\) | −0.0588406 | + | 0.181093i | −0.00356120 | + | 0.0109602i | ||||
\(274\) | 20.3924 | 1.23195 | ||||||||
\(275\) | 1.92014 | − | 13.3660i | 0.115789 | − | 0.806000i | ||||
\(276\) | 1.77031 | 0.106560 | ||||||||
\(277\) | 2.89407 | − | 8.90704i | 0.173888 | − | 0.535172i | −0.825693 | − | 0.564120i | \(-0.809216\pi\) |
0.999581 | + | 0.0289477i | \(0.00921563\pi\) | |||||||
\(278\) | 17.0905 | + | 12.4170i | 1.02502 | + | 0.744722i | ||||
\(279\) | −4.92561 | − | 3.57866i | −0.294889 | − | 0.214249i | ||||
\(280\) | −1.68982 | + | 1.46441i | −0.100986 | + | 0.0875154i | ||||
\(281\) | 10.8880 | − | 7.91060i | 0.649524 | − | 0.471907i | −0.213585 | − | 0.976925i | \(-0.568514\pi\) |
0.863109 | + | 0.505017i | \(0.168514\pi\) | |||||||
\(282\) | −0.398172 | −0.0237108 | ||||||||
\(283\) | −14.0835 | + | 10.2323i | −0.837179 | + | 0.608246i | −0.921581 | − | 0.388186i | \(-0.873102\pi\) |
0.0844023 | + | 0.996432i | \(0.473102\pi\) | |||||||
\(284\) | 1.84812 | + | 5.68792i | 0.109666 | + | 0.337516i | ||||
\(285\) | −1.63215 | + | 0.140282i | −0.0966800 | + | 0.00830958i | ||||
\(286\) | 0.610383 | − | 1.87856i | 0.0360927 | − | 0.111082i | ||||
\(287\) | −0.0344775 | − | 0.106111i | −0.00203514 | − | 0.00626353i | ||||
\(288\) | 0.906107 | + | 2.78871i | 0.0533928 | + | 0.164326i | ||||
\(289\) | 4.46362 | − | 13.7376i | 0.262566 | − | 0.808094i | ||||
\(290\) | −14.7822 | + | 12.8104i | −0.868041 | + | 0.752251i | ||||
\(291\) | −1.09627 | − | 3.37397i | −0.0642645 | − | 0.197786i | ||||
\(292\) | 1.62095 | − | 1.17769i | 0.0948590 | − | 0.0689191i | ||||
\(293\) | −31.2366 | −1.82486 | −0.912432 | − | 0.409229i | \(-0.865798\pi\) | ||||
−0.912432 | + | 0.409229i | \(0.865798\pi\) | |||||||
\(294\) | 0.210620 | − | 0.153024i | 0.0122836 | − | 0.00892456i | ||||
\(295\) | 0.784124 | + | 1.85516i | 0.0456534 | + | 0.108011i | ||||
\(296\) | 2.60372 | + | 1.89171i | 0.151338 | + | 0.109953i | ||||
\(297\) | 3.37430 | + | 2.45157i | 0.195797 | + | 0.142255i | ||||
\(298\) | −5.85640 | + | 18.0241i | −0.339252 | + | 1.04411i | ||||
\(299\) | −4.97348 | −0.287624 | ||||||||
\(300\) | 0.607598 | + | 1.15120i | 0.0350797 | + | 0.0664644i | ||||
\(301\) | −1.32971 | −0.0766433 | ||||||||
\(302\) | −4.84927 | + | 14.9245i | −0.279044 | + | 0.858809i | ||||
\(303\) | −0.245582 | − | 0.178426i | −0.0141083 | − | 0.0102503i | ||||
\(304\) | −2.27661 | − | 1.65405i | −0.130572 | − | 0.0948663i | ||||
\(305\) | 6.93932 | − | 29.8494i | 0.397344 | − | 1.70917i | ||||
\(306\) | 13.3023 | − | 9.66470i | 0.760443 | − | 0.552494i | ||||
\(307\) | −17.6021 | −1.00460 | −0.502301 | − | 0.864693i | \(-0.667513\pi\) | ||||
−0.502301 | + | 0.864693i | \(0.667513\pi\) | |||||||
\(308\) | −2.18487 | + | 1.58740i | −0.124494 | + | 0.0904504i | ||||
\(309\) | 0.721995 | + | 2.22207i | 0.0410729 | + | 0.126409i | ||||
\(310\) | −1.80760 | − | 4.27659i | −0.102665 | − | 0.242894i | ||||
\(311\) | 9.68153 | − | 29.7967i | 0.548989 | − | 1.68961i | −0.162323 | − | 0.986738i | \(-0.551899\pi\) |
0.711312 | − | 0.702877i | \(-0.248101\pi\) | |||||||
\(312\) | 0.0588406 | + | 0.181093i | 0.00333119 | + | 0.0102524i | ||||
\(313\) | 2.64565 | + | 8.14246i | 0.149541 | + | 0.460239i | 0.997567 | − | 0.0697152i | \(-0.0222090\pi\) |
−0.848026 | + | 0.529954i | \(0.822209\pi\) | |||||||
\(314\) | −4.36929 | + | 13.4473i | −0.246573 | + | 0.758874i | ||||
\(315\) | 2.55266 | + | 6.03933i | 0.143826 | + | 0.340278i | ||||
\(316\) | 4.51330 | + | 13.8905i | 0.253893 | + | 0.781402i | ||||
\(317\) | −2.52889 | + | 1.83734i | −0.142036 | + | 0.103195i | −0.656534 | − | 0.754296i | \(-0.727978\pi\) |
0.514498 | + | 0.857492i | \(0.327978\pi\) | |||||||
\(318\) | −0.557910 | −0.0312860 | ||||||||
\(319\) | −19.1128 | + | 13.8862i | −1.07011 | + | 0.777479i | ||||
\(320\) | −0.506334 | + | 2.17799i | −0.0283049 | + | 0.121753i | ||||
\(321\) | −2.53057 | − | 1.83857i | −0.141243 | − | 0.102619i | ||||
\(322\) | 5.50130 | + | 3.99693i | 0.306575 | + | 0.222740i | ||||
\(323\) | −4.87624 | + | 15.0075i | −0.271321 | + | 0.835041i | ||||
\(324\) | 8.39460 | 0.466367 | ||||||||
\(325\) | −1.70697 | − | 3.23415i | −0.0946859 | − | 0.179399i | ||||
\(326\) | −19.6575 | −1.08873 | ||||||||
\(327\) | 0.0464214 | − | 0.142870i | 0.00256711 | − | 0.00790075i | ||||
\(328\) | −0.0902633 | − | 0.0655801i | −0.00498396 | − | 0.00362106i | ||||
\(329\) | −1.23733 | − | 0.898974i | −0.0682163 | − | 0.0495620i | ||||
\(330\) | 0.612076 | + | 1.44811i | 0.0336937 | + | 0.0797158i | ||||
\(331\) | −13.2839 | + | 9.65132i | −0.730149 | + | 0.530484i | −0.889611 | − | 0.456720i | \(-0.849024\pi\) |
0.159462 | + | 0.987204i | \(0.449024\pi\) | |||||||
\(332\) | −8.66448 | −0.475525 | ||||||||
\(333\) | 7.63467 | − | 5.54692i | 0.418378 | − | 0.303969i | ||||
\(334\) | 3.18137 | + | 9.79126i | 0.174077 | + | 0.535754i | ||||
\(335\) | −14.7698 | + | 12.7996i | −0.806958 | + | 0.699317i | ||||
\(336\) | 0.0804497 | − | 0.247599i | 0.00438889 | − | 0.0135076i | ||||
\(337\) | 3.09505 | + | 9.52558i | 0.168598 | + | 0.518892i | 0.999283 | − | 0.0378506i | \(-0.0120511\pi\) |
−0.830685 | + | 0.556742i | \(0.812051\pi\) | |||||||
\(338\) | 3.85192 | + | 11.8550i | 0.209517 | + | 0.644826i | ||||
\(339\) | 0.521775 | − | 1.60586i | 0.0283390 | − | 0.0872183i | ||||
\(340\) | 12.4928 | − | 1.07375i | 0.677517 | − | 0.0582321i | ||||
\(341\) | −1.73282 | − | 5.33309i | −0.0938377 | − | 0.288803i | ||||
\(342\) | −6.67551 | + | 4.85004i | −0.360970 | + | 0.262260i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | −1.07576 | + | 0.781585i | −0.0580011 | + | 0.0421402i | ||||
\(345\) | 2.99151 | − | 2.59247i | 0.161057 | − | 0.139574i | ||||
\(346\) | −17.9816 | − | 13.0644i | −0.966695 | − | 0.702345i | ||||
\(347\) | −22.8947 | − | 16.6340i | −1.22905 | − | 0.892958i | −0.232233 | − | 0.972660i | \(-0.574603\pi\) |
−0.996819 | + | 0.0797019i | \(0.974603\pi\) | |||||||
\(348\) | 0.703757 | − | 2.16594i | 0.0377254 | − | 0.116107i | ||||
\(349\) | 33.4902 | 1.79269 | 0.896345 | − | 0.443358i | \(-0.146213\pi\) | ||||
0.896345 | + | 0.443358i | \(0.146213\pi\) | |||||||
\(350\) | −0.710992 | + | 4.94919i | −0.0380041 | + | 0.264545i | ||||
\(351\) | 1.12957 | 0.0602919 | ||||||||
\(352\) | −0.834544 | + | 2.56846i | −0.0444814 | + | 0.136900i | ||||
\(353\) | 3.10479 | + | 2.25576i | 0.165251 | + | 0.120062i | 0.667337 | − | 0.744756i | \(-0.267434\pi\) |
−0.502086 | + | 0.864818i | \(0.667434\pi\) | |||||||
\(354\) | −0.189709 | − | 0.137832i | −0.0100829 | − | 0.00732567i | ||||
\(355\) | 11.4524 | + | 6.90516i | 0.607833 | + | 0.366488i | ||||
\(356\) | 10.0262 | − | 7.28444i | 0.531386 | − | 0.386074i | ||||
\(357\) | −1.45987 | −0.0772646 | ||||||||
\(358\) | 13.3579 | − | 9.70512i | 0.705989 | − | 0.512931i | ||||
\(359\) | 4.99045 | + | 15.3590i | 0.263386 | + | 0.810619i | 0.992061 | + | 0.125759i | \(0.0401366\pi\) |
−0.728675 | + | 0.684860i | \(0.759863\pi\) | |||||||
\(360\) | 5.61498 | + | 3.38551i | 0.295935 | + | 0.178432i | ||||
\(361\) | −3.42427 | + | 10.5388i | −0.180225 | + | 0.554675i | ||||
\(362\) | −6.19013 | − | 19.0513i | −0.325346 | − | 1.00131i | ||||
\(363\) | −0.298190 | − | 0.917733i | −0.0156509 | − | 0.0481685i | ||||
\(364\) | −0.226014 | + | 0.695599i | −0.0118463 | + | 0.0364593i | ||||
\(365\) | 1.01449 | − | 4.36383i | 0.0531011 | − | 0.228413i | ||||
\(366\) | 1.10257 | + | 3.39335i | 0.0576320 | + | 0.177373i | ||||
\(367\) | −29.3266 | + | 21.3070i | −1.53084 | + | 1.11222i | −0.575067 | + | 0.818106i | \(0.695024\pi\) |
−0.955771 | + | 0.294112i | \(0.904976\pi\) | |||||||
\(368\) | 6.79998 | 0.354473 | ||||||||
\(369\) | −0.264672 | + | 0.192295i | −0.0137783 | + | 0.0100105i | ||||
\(370\) | 7.17006 | − | 0.616262i | 0.372754 | − | 0.0320379i | ||||
\(371\) | −1.73372 | − | 1.25962i | −0.0900104 | − | 0.0653964i | ||||
\(372\) | 0.437326 | + | 0.317736i | 0.0226743 | + | 0.0164738i | ||||
\(373\) | 2.69190 | − | 8.28482i | 0.139381 | − | 0.428972i | −0.856864 | − | 0.515542i | \(-0.827591\pi\) |
0.996246 | + | 0.0865702i | \(0.0275907\pi\) | |||||||
\(374\) | 15.1440 | 0.783076 | ||||||||
\(375\) | 2.71256 | + | 1.05554i | 0.140076 | + | 0.0545081i | ||||
\(376\) | −1.52943 | −0.0788741 | ||||||||
\(377\) | −1.97712 | + | 6.08496i | −0.101827 | + | 0.313391i | ||||
\(378\) | −1.24944 | − | 0.907775i | −0.0642645 | − | 0.0466909i | ||||
\(379\) | 5.10092 | + | 3.70603i | 0.262016 | + | 0.190366i | 0.711036 | − | 0.703156i | \(-0.248226\pi\) |
−0.449019 | + | 0.893522i | \(0.648226\pi\) | |||||||
\(380\) | −6.26927 | + | 0.538839i | −0.321607 | + | 0.0276419i | ||||
\(381\) | 1.06078 | − | 0.770698i | 0.0543452 | − | 0.0394841i | ||||
\(382\) | −9.37313 | −0.479571 | ||||||||
\(383\) | 17.4986 | − | 12.7135i | 0.894135 | − | 0.649627i | −0.0428179 | − | 0.999083i | \(-0.513634\pi\) |
0.936953 | + | 0.349456i | \(0.113634\pi\) | |||||||
\(384\) | −0.0804497 | − | 0.247599i | −0.00410543 | − | 0.0126352i | ||||
\(385\) | −1.36743 | + | 5.88196i | −0.0696905 | + | 0.299773i | ||||
\(386\) | −4.22632 | + | 13.0073i | −0.215114 | + | 0.662052i | ||||
\(387\) | 1.20486 | + | 3.70818i | 0.0612465 | + | 0.188497i | ||||
\(388\) | −4.21091 | − | 12.9598i | −0.213777 | − | 0.657936i | ||||
\(389\) | −9.20543 | + | 28.3314i | −0.466734 | + | 1.43646i | 0.390055 | + | 0.920792i | \(0.372456\pi\) |
−0.856789 | + | 0.515668i | \(0.827544\pi\) | |||||||
\(390\) | 0.364625 | + | 0.219848i | 0.0184635 | + | 0.0111324i | ||||
\(391\) | −11.7832 | − | 36.2649i | −0.595901 | − | 1.83400i | ||||
\(392\) | 0.809017 | − | 0.587785i | 0.0408615 | − | 0.0296876i | ||||
\(393\) | −0.618367 | −0.0311925 | ||||||||
\(394\) | −13.3810 | + | 9.72185i | −0.674124 | + | 0.489780i | ||||
\(395\) | 27.9681 | + | 16.8631i | 1.40723 | + | 0.848477i | ||||
\(396\) | 6.40651 | + | 4.65460i | 0.321939 | + | 0.233903i | ||||
\(397\) | −7.38762 | − | 5.36742i | −0.370774 | − | 0.269383i | 0.386758 | − | 0.922181i | \(-0.373595\pi\) |
−0.757532 | + | 0.652798i | \(0.773595\pi\) | |||||||
\(398\) | −6.65802 | + | 20.4913i | −0.333736 | + | 1.02713i | ||||
\(399\) | 0.732609 | 0.0366763 | ||||||||
\(400\) | 2.33386 | + | 4.42189i | 0.116693 | + | 0.221095i | ||||
\(401\) | −12.8853 | −0.643461 | −0.321730 | − | 0.946831i | \(-0.604264\pi\) | ||||
−0.321730 | + | 0.946831i | \(0.604264\pi\) | |||||||
\(402\) | 0.703165 | − | 2.16412i | 0.0350707 | − | 0.107936i | ||||
\(403\) | −1.22861 | − | 0.892641i | −0.0612017 | − | 0.0444656i | ||||
\(404\) | −0.943309 | − | 0.685354i | −0.0469314 | − | 0.0340976i | ||||
\(405\) | 14.1854 | − | 12.2932i | 0.704877 | − | 0.610852i | ||||
\(406\) | 7.07711 | − | 5.14182i | 0.351231 | − | 0.255184i | ||||
\(407\) | 8.69166 | 0.430830 | ||||||||
\(408\) | −1.18106 | + | 0.858091i | −0.0584713 | + | 0.0424819i | ||||
\(409\) | 2.74236 | + | 8.44012i | 0.135601 | + | 0.417337i | 0.995683 | − | 0.0928188i | \(-0.0295877\pi\) |
−0.860082 | + | 0.510156i | \(0.829588\pi\) | |||||||
\(410\) | −0.248565 | + | 0.0213640i | −0.0122758 | + | 0.00105509i | ||||
\(411\) | −1.64057 | + | 5.04914i | −0.0809231 | + | 0.249056i | ||||
\(412\) | 2.77327 | + | 8.53525i | 0.136629 | + | 0.420502i | ||||
\(413\) | −0.278337 | − | 0.856632i | −0.0136961 | − | 0.0421521i | ||||
\(414\) | 6.16150 | − | 18.9632i | 0.302821 | − | 0.931989i | ||||
\(415\) | −14.6414 | + | 12.6884i | −0.718719 | + | 0.622847i | ||||
\(416\) | 0.226014 | + | 0.695599i | 0.0110812 | + | 0.0341046i | ||||
\(417\) | −4.44936 | + | 3.23265i | −0.217886 | + | 0.158304i | ||||
\(418\) | −7.59971 | −0.371714 | ||||||||
\(419\) | 19.6865 | − | 14.3031i | 0.961746 | − | 0.698750i | 0.00819078 | − | 0.999966i | \(-0.497393\pi\) |
0.953556 | + | 0.301217i | \(0.0973928\pi\) | |||||||
\(420\) | −0.226641 | − | 0.536209i | −0.0110589 | − | 0.0261643i | ||||
\(421\) | −5.40855 | − | 3.92954i | −0.263597 | − | 0.191514i | 0.448134 | − | 0.893966i | \(-0.352089\pi\) |
−0.711731 | + | 0.702452i | \(0.752089\pi\) | |||||||
\(422\) | 9.64328 | + | 7.00626i | 0.469428 | + | 0.341059i | ||||
\(423\) | −1.38582 | + | 4.26512i | −0.0673810 | + | 0.207377i | ||||
\(424\) | −2.14300 | −0.104073 | ||||||||
\(425\) | 19.5382 | − | 20.1090i | 0.947741 | − | 0.975432i | ||||
\(426\) | −1.55700 | −0.0754370 | ||||||||
\(427\) | −4.23509 | + | 13.0343i | −0.204950 | + | 0.630772i | ||||
\(428\) | −9.72023 | − | 7.06216i | −0.469845 | − | 0.341362i | ||||
\(429\) | 0.416025 | + | 0.302260i | 0.0200859 | + | 0.0145932i | ||||
\(430\) | −0.673278 | + | 2.89609i | −0.0324684 | + | 0.139662i | ||||
\(431\) | −24.5554 | + | 17.8405i | −1.18279 | + | 0.859348i | −0.992484 | − | 0.122377i | \(-0.960948\pi\) |
−0.190307 | + | 0.981725i | \(0.560948\pi\) | |||||||
\(432\) | −1.54440 | −0.0743049 | ||||||||
\(433\) | 24.7408 | − | 17.9752i | 1.18897 | − | 0.863834i | 0.195811 | − | 0.980642i | \(-0.437266\pi\) |
0.993155 | + | 0.116808i | \(0.0372661\pi\) | |||||||
\(434\) | 0.641634 | + | 1.97475i | 0.0307994 | + | 0.0947909i | ||||
\(435\) | −1.98261 | − | 4.69065i | −0.0950588 | − | 0.224899i | ||||
\(436\) | 0.178310 | − | 0.548782i | 0.00853950 | − | 0.0262819i | ||||
\(437\) | 5.91316 | + | 18.1988i | 0.282865 | + | 0.870569i | ||||
\(438\) | 0.161190 | + | 0.496090i | 0.00770193 | + | 0.0237041i | ||||
\(439\) | 11.1716 | − | 34.3826i | 0.533191 | − | 1.64099i | −0.214334 | − | 0.976761i | \(-0.568758\pi\) |
0.747525 | − | 0.664234i | \(-0.231242\pi\) | |||||||
\(440\) | 2.35106 | + | 5.56236i | 0.112082 | + | 0.265175i | ||||
\(441\) | −0.906107 | − | 2.78871i | −0.0431479 | − | 0.132796i | ||||
\(442\) | 3.31805 | − | 2.41071i | 0.157824 | − | 0.114666i | ||||
\(443\) | 39.2156 | 1.86319 | 0.931594 | − | 0.363500i | \(-0.118418\pi\) | ||||
0.931594 | + | 0.363500i | \(0.118418\pi\) | |||||||
\(444\) | −0.677853 | + | 0.492489i | −0.0321695 | + | 0.0233725i | ||||
\(445\) | 6.27501 | − | 26.9918i | 0.297464 | − | 1.27954i | ||||
\(446\) | −4.32732 | − | 3.14398i | −0.204905 | − | 0.148872i | ||||
\(447\) | −3.99161 | − | 2.90007i | −0.188796 | − | 0.137169i | ||||
\(448\) | 0.309017 | − | 0.951057i | 0.0145997 | − | 0.0449332i | ||||
\(449\) | −13.8685 | −0.654494 | −0.327247 | − | 0.944939i | \(-0.606121\pi\) | ||||
−0.327247 | + | 0.944939i | \(0.606121\pi\) | |||||||
\(450\) | 14.4461 | − | 2.50174i | 0.680995 | − | 0.117933i | ||||
\(451\) | −0.301315 | −0.0141884 | ||||||||
\(452\) | 2.00420 | − | 6.16830i | 0.0942697 | − | 0.290132i | ||||
\(453\) | −3.30517 | − | 2.40135i | −0.155290 | − | 0.112825i | ||||
\(454\) | −4.16096 | − | 3.02312i | −0.195284 | − | 0.141882i | ||||
\(455\) | 0.636721 | + | 1.50642i | 0.0298499 | + | 0.0706219i | ||||
\(456\) | 0.592693 | − | 0.430617i | 0.0277554 | − | 0.0201655i | ||||
\(457\) | −16.6753 | −0.780037 | −0.390018 | − | 0.920807i | \(-0.627531\pi\) | ||||
−0.390018 | + | 0.920807i | \(0.627531\pi\) | |||||||
\(458\) | −0.935736 | + | 0.679852i | −0.0437241 | + | 0.0317674i | ||||
\(459\) | 2.67618 | + | 8.23642i | 0.124913 | + | 0.384443i | ||||
\(460\) | 11.4907 | − | 9.95797i | 0.535759 | − | 0.464293i | ||||
\(461\) | 5.83702 | − | 17.9645i | 0.271857 | − | 0.836690i | −0.718177 | − | 0.695861i | \(-0.755023\pi\) |
0.990034 | − | 0.140829i | \(-0.0449769\pi\) | |||||||
\(462\) | −0.217266 | − | 0.668675i | −0.0101081 | − | 0.0311096i | ||||
\(463\) | 6.08990 | + | 18.7428i | 0.283022 | + | 0.871051i | 0.986985 | + | 0.160815i | \(0.0514121\pi\) |
−0.703963 | + | 0.710237i | \(0.748588\pi\) | |||||||
\(464\) | 2.70322 | − | 8.31965i | 0.125494 | − | 0.386230i | ||||
\(465\) | 1.20430 | − | 0.103509i | 0.0558480 | − | 0.00480010i | ||||
\(466\) | 1.86387 | + | 5.73639i | 0.0863420 | + | 0.265733i | ||||
\(467\) | 11.5692 | − | 8.40555i | 0.535361 | − | 0.388963i | −0.286998 | − | 0.957931i | \(-0.592657\pi\) |
0.822359 | + | 0.568969i | \(0.192657\pi\) | |||||||
\(468\) | 2.14462 | 0.0991350 | ||||||||
\(469\) | 7.07116 | − | 5.13750i | 0.326516 | − | 0.237228i | ||||
\(470\) | −2.58446 | + | 2.23971i | −0.119212 | + | 0.103310i | ||||
\(471\) | −2.97802 | − | 2.16366i | −0.137220 | − | 0.0996962i | ||||
\(472\) | −0.728695 | − | 0.529428i | −0.0335409 | − | 0.0243689i | ||||
\(473\) | −1.10970 | + | 3.41532i | −0.0510242 | + | 0.157036i | ||||
\(474\) | −3.80237 | −0.174648 | ||||||||
\(475\) | −9.80486 | + | 10.0913i | −0.449878 | + | 0.463022i | ||||
\(476\) | −5.60755 | −0.257021 | ||||||||
\(477\) | −1.94179 | + | 5.97620i | −0.0889083 | + | 0.273632i | ||||
\(478\) | 4.36760 | + | 3.17325i | 0.199769 | + | 0.145141i | ||||
\(479\) | 3.36499 | + | 2.44481i | 0.153750 | + | 0.111706i | 0.662001 | − | 0.749503i | \(-0.269708\pi\) |
−0.508250 | + | 0.861209i | \(0.669708\pi\) | |||||||
\(480\) | −0.498532 | − | 0.300586i | −0.0227548 | − | 0.0137198i | ||||
\(481\) | 1.90435 | − | 1.38359i | 0.0868308 | − | 0.0630863i | ||||
\(482\) | 16.7205 | 0.761597 | ||||||||
\(483\) | −1.43221 | + | 1.04056i | −0.0651679 | + | 0.0473472i | ||||
\(484\) | −1.14538 | − | 3.52512i | −0.0520628 | − | 0.160233i | ||||
\(485\) | −26.0942 | − | 15.7333i | −1.18488 | − | 0.714413i | ||||
\(486\) | −2.10708 | + | 6.48492i | −0.0955791 | + | 0.294162i | ||||
\(487\) | −0.788412 | − | 2.42648i | −0.0357264 | − | 0.109954i | 0.931603 | − | 0.363477i | \(-0.118411\pi\) |
−0.967329 | + | 0.253523i | \(0.918411\pi\) | |||||||
\(488\) | 4.23509 | + | 13.0343i | 0.191713 | + | 0.590033i | ||||
\(489\) | 1.58144 | − | 4.86718i | 0.0715153 | − | 0.220102i | ||||
\(490\) | 0.506334 | − | 2.17799i | 0.0228738 | − | 0.0983914i | ||||
\(491\) | −13.0584 | − | 40.1897i | −0.589318 | − | 1.81373i | −0.581190 | − | 0.813768i | \(-0.697413\pi\) |
−0.00812797 | − | 0.999967i | \(-0.502587\pi\) | |||||||
\(492\) | 0.0234992 | − | 0.0170732i | 0.00105943 | − | 0.000769718i | ||||
\(493\) | −49.0537 | −2.20927 | ||||||||
\(494\) | −1.66510 | + | 1.20977i | −0.0749164 | + | 0.0544300i | ||||
\(495\) | 17.6421 | − | 1.51633i | 0.792954 | − | 0.0681539i | ||||
\(496\) | 1.67982 | + | 1.22046i | 0.0754262 | + | 0.0548003i | ||||
\(497\) | −4.83843 | − | 3.51533i | −0.217033 | − | 0.157684i | ||||
\(498\) | 0.697054 | − | 2.14531i | 0.0312358 | − | 0.0961338i | ||||
\(499\) | −14.2790 | −0.639214 | −0.319607 | − | 0.947550i | \(-0.603551\pi\) | ||||
−0.319607 | + | 0.947550i | \(0.603551\pi\) | |||||||
\(500\) | 10.4193 | + | 4.05448i | 0.465964 | + | 0.181322i | ||||
\(501\) | −2.68024 | −0.119744 | ||||||||
\(502\) | 1.72124 | − | 5.29742i | 0.0768225 | − | 0.236435i | ||||
\(503\) | 7.49721 | + | 5.44704i | 0.334284 | + | 0.242872i | 0.742246 | − | 0.670127i | \(-0.233760\pi\) |
−0.407962 | + | 0.912999i | \(0.633760\pi\) | |||||||
\(504\) | −2.37222 | − | 1.72352i | −0.105667 | − | 0.0767716i | ||||
\(505\) | −2.59766 | + | 0.223268i | −0.115595 | + | 0.00993527i | ||||
\(506\) | 14.8570 | − | 10.7943i | 0.660476 | − | 0.479864i | ||||
\(507\) | −3.24516 | −0.144123 | ||||||||
\(508\) | 4.07457 | − | 2.96035i | 0.180780 | − | 0.131344i | ||||
\(509\) | 8.84232 | + | 27.2139i | 0.391929 | + | 1.20623i | 0.931327 | + | 0.364183i | \(0.118652\pi\) |
−0.539398 | + | 0.842051i | \(0.681348\pi\) | |||||||
\(510\) | −0.739183 | + | 3.17958i | −0.0327316 | + | 0.140794i | ||||
\(511\) | −0.619148 | + | 1.90554i | −0.0273895 | + | 0.0842963i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | −1.34299 | − | 4.13329i | −0.0592943 | − | 0.182489i | ||||
\(514\) | 2.66981 | − | 8.21682i | 0.117760 | − | 0.362428i | ||||
\(515\) | 17.1855 | + | 10.3618i | 0.757282 | + | 0.456597i | ||||
\(516\) | −0.106975 | − | 0.329235i | −0.00470931 | − | 0.0144938i | ||||
\(517\) | −3.34159 | + | 2.42781i | −0.146963 | + | 0.106775i | ||||
\(518\) | −3.21837 | −0.141407 | ||||||||
\(519\) | 4.68133 | − | 3.40119i | 0.205488 | − | 0.149296i | ||||
\(520\) | 1.40057 | + | 0.844461i | 0.0614189 | + | 0.0370321i | ||||
\(521\) | 3.80314 | + | 2.76314i | 0.166619 | + | 0.121056i | 0.667970 | − | 0.744188i | \(-0.267164\pi\) |
−0.501351 | + | 0.865244i | \(0.667164\pi\) | |||||||
\(522\) | −20.7517 | − | 15.0770i | −0.908276 | − | 0.659901i | ||||
\(523\) | 13.6800 | − | 42.1028i | 0.598187 | − | 1.84103i | 0.0600081 | − | 0.998198i | \(-0.480887\pi\) |
0.538178 | − | 0.842831i | \(-0.319113\pi\) | |||||||
\(524\) | −2.37522 | −0.103762 | ||||||||
\(525\) | −1.16821 | − | 0.574202i | −0.0509850 | − | 0.0250602i | ||||
\(526\) | −27.7780 | −1.21118 | ||||||||
\(527\) | 3.59799 | − | 11.0735i | 0.156731 | − | 0.482369i | ||||
\(528\) | −0.568809 | − | 0.413264i | −0.0247542 | − | 0.0179850i | ||||
\(529\) | −18.8013 | − | 13.6599i | −0.817448 | − | 0.593911i | ||||
\(530\) | −3.62129 | + | 3.13824i | −0.157299 | + | 0.136316i | ||||
\(531\) | −2.13670 | + | 1.55240i | −0.0927247 | + | 0.0673684i | ||||
\(532\) | 2.81404 | 0.122004 | ||||||||
\(533\) | −0.0660182 | + | 0.0479651i | −0.00285957 | + | 0.00207760i | ||||
\(534\) | 0.997015 | + | 3.06850i | 0.0431451 | + | 0.132787i | ||||
\(535\) | −26.7674 | + | 2.30064i | −1.15725 | + | 0.0994652i | ||||
\(536\) | 2.70094 | − | 8.31264i | 0.116663 | − | 0.359051i | ||||
\(537\) | 1.32833 | + | 4.08818i | 0.0573217 | + | 0.176418i | ||||
\(538\) | −5.38273 | − | 16.5663i | −0.232066 | − | 0.714225i | ||||
\(539\) | 0.834544 | − | 2.56846i | 0.0359464 | − | 0.110632i | ||||
\(540\) | −2.60976 | + | 2.26164i | −0.112306 | + | 0.0973254i | ||||
\(541\) | −2.39675 | − | 7.37642i | −0.103044 | − | 0.317137i | 0.886222 | − | 0.463260i | \(-0.153320\pi\) |
−0.989266 | + | 0.146123i | \(0.953320\pi\) | |||||||
\(542\) | 7.73173 | − | 5.61743i | 0.332106 | − | 0.241289i | ||||
\(543\) | 5.21506 | 0.223800 | ||||||||
\(544\) | −4.53660 | + | 3.29603i | −0.194505 | + | 0.141316i | ||||
\(545\) | −0.502331 | − | 1.18846i | −0.0215175 | − | 0.0509082i | ||||
\(546\) | −0.154047 | − | 0.111921i | −0.00659259 | − | 0.00478980i | ||||
\(547\) | 4.90000 | + | 3.56006i | 0.209509 | + | 0.152217i | 0.687592 | − | 0.726098i | \(-0.258668\pi\) |
−0.478082 | + | 0.878315i | \(0.658668\pi\) | |||||||
\(548\) | −6.30161 | + | 19.3944i | −0.269191 | + | 0.828486i | ||||
\(549\) | 40.1862 | 1.71510 | ||||||||
\(550\) | 12.1185 | + | 5.95648i | 0.516733 | + | 0.253985i | ||||
\(551\) | 24.6166 | 1.04870 | ||||||||
\(552\) | −0.547056 | + | 1.68367i | −0.0232843 | + | 0.0716616i | ||||
\(553\) | −11.8160 | − | 8.58481i | −0.502466 | − | 0.365063i | ||||
\(554\) | 7.57678 | + | 5.50485i | 0.321906 | + | 0.233879i | ||||
\(555\) | −0.424243 | + | 1.82488i | −0.0180081 | + | 0.0774616i | ||||
\(556\) | −17.0905 | + | 12.4170i | −0.724800 | + | 0.526598i | ||||
\(557\) | 13.1792 | 0.558422 | 0.279211 | − | 0.960230i | \(-0.409927\pi\) | ||||
0.279211 | + | 0.960230i | \(0.409927\pi\) | |||||||
\(558\) | 4.92561 | − | 3.57866i | 0.208518 | − | 0.151497i | ||||
\(559\) | 0.300533 | + | 0.924947i | 0.0127112 | + | 0.0391211i | ||||
\(560\) | −0.870556 | − | 2.05964i | −0.0367877 | − | 0.0870358i | ||||
\(561\) | −1.21833 | + | 3.74963i | −0.0514378 | + | 0.158309i | ||||
\(562\) | 4.15885 | + | 12.7996i | 0.175431 | + | 0.539920i | ||||
\(563\) | 7.28157 | + | 22.4104i | 0.306881 | + | 0.944484i | 0.978968 | + | 0.204012i | \(0.0653981\pi\) |
−0.672087 | + | 0.740472i | \(0.734602\pi\) | |||||||
\(564\) | 0.123042 | − | 0.378684i | 0.00518099 | − | 0.0159455i | ||||
\(565\) | −5.64619 | − | 13.3583i | −0.237537 | − | 0.561988i | ||||
\(566\) | −5.37943 | − | 16.5562i | −0.226114 | − | 0.695908i | ||||
\(567\) | −6.79137 | + | 4.93422i | −0.285211 | + | 0.207218i | ||||
\(568\) | −5.98063 | −0.250942 | ||||||||
\(569\) | −9.48671 | + | 6.89250i | −0.397704 | + | 0.288949i | −0.768605 | − | 0.639724i | \(-0.779049\pi\) |
0.370901 | + | 0.928672i | \(0.379049\pi\) | |||||||
\(570\) | 0.370945 | − | 1.59561i | 0.0155372 | − | 0.0668328i | ||||
\(571\) | 36.9131 | + | 26.8189i | 1.54477 | + | 1.12234i | 0.947257 | + | 0.320476i | \(0.103843\pi\) |
0.597509 | + | 0.801862i | \(0.296157\pi\) | |||||||
\(572\) | 1.59800 | + | 1.16102i | 0.0668158 | + | 0.0485445i | ||||
\(573\) | 0.754066 | − | 2.32078i | 0.0315016 | − | 0.0969518i | ||||
\(574\) | 0.111572 | 0.00465691 | ||||||||
\(575\) | 4.83473 | − | 33.6544i | 0.201622 | − | 1.40348i | ||||
\(576\) | −2.93222 | −0.122176 | ||||||||
\(577\) | 10.3135 | − | 31.7417i | 0.429357 | − | 1.32143i | −0.469403 | − | 0.882984i | \(-0.655531\pi\) |
0.898760 | − | 0.438441i | \(-0.144469\pi\) | |||||||
\(578\) | 11.6859 | + | 8.49031i | 0.486070 | + | 0.353150i | ||||
\(579\) | −2.88058 | − | 2.09286i | −0.119713 | − | 0.0869763i | ||||
\(580\) | −7.61544 | − | 18.0173i | −0.316214 | − | 0.748129i | ||||
\(581\) | 7.00971 | − | 5.09285i | 0.290812 | − | 0.211287i | ||||
\(582\) | 3.54761 | 0.147053 | ||||||||
\(583\) | −4.68217 | + | 3.40179i | −0.193915 | + | 0.140888i | ||||
\(584\) | 0.619148 | + | 1.90554i | 0.0256205 | + | 0.0788519i | ||||
\(585\) | 3.62402 | − | 3.14060i | 0.149835 | − | 0.129848i | ||||
\(586\) | 9.65265 | − | 29.7078i | 0.398747 | − | 1.22722i | ||||
\(587\) | 11.6218 | + | 35.7683i | 0.479684 | + | 1.47632i | 0.839535 | + | 0.543306i | \(0.182828\pi\) |
−0.359850 | + | 0.933010i | \(0.617172\pi\) | |||||||
\(588\) | 0.0804497 | + | 0.247599i | 0.00331769 | + | 0.0102108i | ||||
\(589\) | −1.80558 | + | 5.55702i | −0.0743978 | + | 0.228973i | ||||
\(590\) | −2.00666 | + | 0.172471i | −0.0826131 | + | 0.00710054i | ||||
\(591\) | −1.33062 | − | 4.09523i | −0.0547345 | − | 0.168455i | ||||
\(592\) | −2.60372 | + | 1.89171i | −0.107012 | + | 0.0777488i | ||||
\(593\) | 25.0124 | 1.02714 | 0.513568 | − | 0.858049i | \(-0.328324\pi\) | ||||
0.513568 | + | 0.858049i | \(0.328324\pi\) | |||||||
\(594\) | −3.37430 | + | 2.45157i | −0.138449 | + | 0.100589i | ||||
\(595\) | −9.47575 | + | 8.21176i | −0.388468 | + | 0.336649i | ||||
\(596\) | −15.3322 | − | 11.1395i | −0.628033 | − | 0.456293i | ||||
\(597\) | −4.53798 | − | 3.29703i | −0.185727 | − | 0.134939i | ||||
\(598\) | 1.53689 | − | 4.73006i | 0.0628481 | − | 0.193427i | ||||
\(599\) | −38.2884 | −1.56442 | −0.782211 | − | 0.623013i | \(-0.785908\pi\) | ||||
−0.782211 | + | 0.623013i | \(0.785908\pi\) | |||||||
\(600\) | −1.28261 | + | 0.222120i | −0.0523624 | + | 0.00906802i | ||||
\(601\) | 19.4622 | 0.793878 | 0.396939 | − | 0.917845i | \(-0.370072\pi\) | ||||
0.396939 | + | 0.917845i | \(0.370072\pi\) | |||||||
\(602\) | 0.410904 | − | 1.26463i | 0.0167472 | − | 0.0515425i | ||||
\(603\) | −20.7342 | − | 15.0643i | −0.844362 | − | 0.613465i | ||||
\(604\) | −12.6956 | − | 9.22386i | −0.516575 | − | 0.375313i | ||||
\(605\) | −7.09773 | − | 4.27952i | −0.288564 | − | 0.173987i | ||||
\(606\) | 0.245582 | − | 0.178426i | 0.00997608 | − | 0.00724804i | ||||
\(607\) | −37.9683 | −1.54108 | −0.770542 | − | 0.637389i | \(-0.780014\pi\) | ||||
−0.770542 | + | 0.637389i | \(0.780014\pi\) | |||||||
\(608\) | 2.27661 | − | 1.65405i | 0.0923285 | − | 0.0670806i | ||||
\(609\) | 0.703757 | + | 2.16594i | 0.0285177 | + | 0.0877684i | ||||
\(610\) | 26.2441 | + | 15.8237i | 1.06259 | + | 0.640681i | ||||
\(611\) | −0.345671 | + | 1.06387i | −0.0139844 | + | 0.0430395i | ||||
\(612\) | 5.08103 | + | 15.6378i | 0.205389 | + | 0.632121i | ||||
\(613\) | 12.0138 | + | 36.9748i | 0.485235 | + | 1.49340i | 0.831641 | + | 0.555314i | \(0.187402\pi\) |
−0.346406 | + | 0.938085i | \(0.612598\pi\) | |||||||
\(614\) | 5.43933 | − | 16.7405i | 0.219514 | − | 0.675594i | ||||
\(615\) | 0.0147073 | − | 0.0632631i | 0.000593055 | − | 0.00255102i | ||||
\(616\) | −0.834544 | − | 2.56846i | −0.0336247 | − | 0.103486i | ||||
\(617\) | 30.6697 | − | 22.2828i | 1.23471 | − | 0.897073i | 0.237480 | − | 0.971392i | \(-0.423678\pi\) |
0.997234 | + | 0.0743194i | \(0.0236784\pi\) | |||||||
\(618\) | −2.33643 | −0.0939848 | ||||||||
\(619\) | −16.6705 | + | 12.1118i | −0.670043 | + | 0.486815i | −0.870040 | − | 0.492982i | \(-0.835907\pi\) |
0.199997 | + | 0.979797i | \(0.435907\pi\) | |||||||
\(620\) | 4.62586 | − | 0.397589i | 0.185779 | − | 0.0159676i | ||||
\(621\) | 8.49620 | + | 6.17285i | 0.340941 | + | 0.247708i | ||||
\(622\) | 25.3466 | + | 18.4154i | 1.01630 | + | 0.738389i | ||||
\(623\) | −3.82966 | + | 11.7865i | −0.153432 | + | 0.472215i | ||||
\(624\) | −0.190412 | −0.00762259 | ||||||||
\(625\) | 23.5441 | − | 8.40677i | 0.941765 | − | 0.336271i | ||||
\(626\) | −8.56149 | −0.342186 | ||||||||
\(627\) | 0.611394 | − | 1.88168i | 0.0244167 | − | 0.0751470i | ||||
\(628\) | −11.4389 | − | 8.31088i | −0.456464 | − | 0.331640i | ||||
\(629\) | 14.6005 | + | 10.6079i | 0.582158 | + | 0.422963i | ||||
\(630\) | −6.53256 | + | 0.561469i | −0.260264 | + | 0.0223695i | ||||
\(631\) | 23.8646 | − | 17.3386i | 0.950033 | − | 0.690239i | −0.000781579 | − | 1.00000i | \(-0.500249\pi\) |
0.950815 | + | 0.309760i | \(0.100249\pi\) | |||||||
\(632\) | −14.6053 | −0.580969 | ||||||||
\(633\) | −2.51054 | + | 1.82401i | −0.0997850 | + | 0.0724980i | ||||
\(634\) | −0.965948 | − | 2.97288i | −0.0383627 | − | 0.118068i | ||||
\(635\) | 2.55012 | − | 10.9693i | 0.101198 | − | 0.435303i | ||||
\(636\) | 0.172404 | − | 0.530604i | 0.00683625 | − | 0.0210398i | ||||
\(637\) | −0.226014 | − | 0.695599i | −0.00895500 | − | 0.0275606i | ||||
\(638\) | −7.30042 | − | 22.4684i | −0.289026 | − | 0.889532i | ||||
\(639\) | −5.41909 | + | 16.6782i | −0.214376 | + | 0.659781i | ||||
\(640\) | −1.91492 | − | 1.15459i | −0.0756940 | − | 0.0456391i | ||||
\(641\) | 6.34622 | + | 19.5317i | 0.250661 | + | 0.771454i | 0.994654 | + | 0.103267i | \(0.0329295\pi\) |
−0.743993 | + | 0.668187i | \(0.767070\pi\) | |||||||
\(642\) | 2.53057 | − | 1.83857i | 0.0998737 | − | 0.0725625i | ||||
\(643\) | −3.86432 | −0.152394 | −0.0761970 | − | 0.997093i | \(-0.524278\pi\) | ||||
−0.0761970 | + | 0.997093i | \(0.524278\pi\) | |||||||
\(644\) | −5.50130 | + | 3.99693i | −0.216781 | + | 0.157501i | ||||
\(645\) | −0.662904 | − | 0.399693i | −0.0261018 | − | 0.0157379i | ||||
\(646\) | −12.7662 | − | 9.27516i | −0.502278 | − | 0.364926i | ||||
\(647\) | 36.7647 | + | 26.7111i | 1.44537 | + | 1.05012i | 0.986886 | + | 0.161418i | \(0.0516066\pi\) |
0.458482 | + | 0.888704i | \(0.348393\pi\) | |||||||
\(648\) | −2.59407 | + | 7.98374i | −0.101905 | + | 0.313631i | ||||
\(649\) | −2.43251 | −0.0954845 | ||||||||
\(650\) | 3.60335 | − | 0.624020i | 0.141335 | − | 0.0244761i | ||||
\(651\) | −0.540564 | −0.0211864 | ||||||||
\(652\) | 6.07451 | − | 18.6954i | 0.237896 | − | 0.732169i | ||||
\(653\) | −16.5666 | − | 12.0364i | −0.648303 | − | 0.471020i | 0.214390 | − | 0.976748i | \(-0.431224\pi\) |
−0.862693 | + | 0.505729i | \(0.831224\pi\) | |||||||
\(654\) | 0.121533 | + | 0.0882987i | 0.00475231 | + | 0.00345275i | ||||
\(655\) | −4.01370 | + | 3.47830i | −0.156828 | + | 0.135909i | ||||
\(656\) | 0.0902633 | − | 0.0655801i | 0.00352419 | − | 0.00256047i | ||||
\(657\) | 5.87502 | 0.229206 | ||||||||
\(658\) | 1.23733 | − | 0.898974i | 0.0482362 | − | 0.0350456i | ||||
\(659\) | 2.86152 | + | 8.80686i | 0.111469 | + | 0.343067i | 0.991194 | − | 0.132416i | \(-0.0422735\pi\) |
−0.879725 | + | 0.475483i | \(0.842273\pi\) | |||||||
\(660\) | −1.56638 | + | 0.134629i | −0.0609711 | + | 0.00524042i | ||||
\(661\) | 0.829213 | − | 2.55205i | 0.0322526 | − | 0.0992634i | −0.933634 | − | 0.358228i | \(-0.883381\pi\) |
0.965887 | + | 0.258964i | \(0.0833812\pi\) | |||||||
\(662\) | −5.07400 | − | 15.6162i | −0.197207 | − | 0.606939i | ||||
\(663\) | 0.329951 | + | 1.01549i | 0.0128143 | + | 0.0394382i | ||||
\(664\) | 2.67747 | − | 8.24041i | 0.103906 | − | 0.319790i | ||||
\(665\) | 4.75522 | − | 4.12091i | 0.184400 | − | 0.159802i | ||||
\(666\) | 2.91619 | + | 8.97510i | 0.113000 | + | 0.347778i | ||||
\(667\) | −48.1242 | + | 34.9643i | −1.86338 | + | 1.35382i | ||||
\(668\) | −10.2951 | −0.398331 | ||||||||
\(669\) | 1.12658 | − | 0.818507i | 0.0435560 | − | 0.0316453i | ||||
\(670\) | −7.60903 | − | 18.0022i | −0.293962 | − | 0.695485i | ||||
\(671\) | 29.9436 | + | 21.7553i | 1.15596 | + | 0.839855i | ||||
\(672\) | 0.210620 | + | 0.153024i | 0.00812484 | + | 0.00590304i | ||||
\(673\) | −4.62329 | + | 14.2290i | −0.178215 | + | 0.548488i | −0.999766 | − | 0.0216466i | \(-0.993109\pi\) |
0.821551 | + | 0.570135i | \(0.193109\pi\) | |||||||
\(674\) | −10.0158 | −0.385794 | ||||||||
\(675\) | −1.09806 | + | 7.64352i | −0.0422642 | + | 0.294199i | ||||
\(676\) | −12.4651 | −0.479425 | ||||||||
\(677\) | 3.31610 | − | 10.2059i | 0.127448 | − | 0.392245i | −0.866891 | − | 0.498498i | \(-0.833885\pi\) |
0.994339 | + | 0.106253i | \(0.0338853\pi\) | |||||||
\(678\) | 1.36603 | + | 0.992476i | 0.0524619 | + | 0.0381158i | ||||
\(679\) | 11.0243 | + | 8.00962i | 0.423074 | + | 0.307381i | ||||
\(680\) | −2.83929 | + | 12.2132i | −0.108882 | + | 0.468353i | ||||
\(681\) | 1.08327 | − | 0.787040i | 0.0415109 | − | 0.0301594i | ||||
\(682\) | 5.60754 | 0.214724 | ||||||||
\(683\) | 31.7310 | − | 23.0539i | 1.21415 | − | 0.882134i | 0.218552 | − | 0.975825i | \(-0.429867\pi\) |
0.995601 | + | 0.0936909i | \(0.0298665\pi\) | |||||||
\(684\) | −2.54982 | − | 7.84754i | −0.0974948 | − | 0.300058i | ||||
\(685\) | 17.7527 | + | 42.0012i | 0.678298 | + | 1.60478i | ||||
\(686\) | −0.309017 | + | 0.951057i | −0.0117983 | + | 0.0363115i | ||||
\(687\) | −0.0930508 | − | 0.286381i | −0.00355011 | − | 0.0109261i | ||||
\(688\) | −0.410904 | − | 1.26463i | −0.0156656 | − | 0.0482136i | ||||
\(689\) | −0.484348 | + | 1.49067i | −0.0184522 | + | 0.0567900i | ||||
\(690\) | 1.54115 | + | 3.64621i | 0.0586707 | + | 0.138809i | ||||
\(691\) | 6.31421 | + | 19.4332i | 0.240204 | + | 0.739272i | 0.996388 | + | 0.0849133i | \(0.0270613\pi\) |
−0.756184 | + | 0.654359i | \(0.772939\pi\) | |||||||
\(692\) | 17.9816 | − | 13.0644i | 0.683557 | − | 0.496633i | ||||
\(693\) | −7.91888 | −0.300813 | ||||||||
\(694\) | 22.8947 | − | 16.6340i | 0.869071 | − | 0.631417i | ||||
\(695\) | −10.6963 | + | 46.0101i | −0.405735 | + | 1.74526i | ||||
\(696\) | 1.84246 | + | 1.33863i | 0.0698383 | + | 0.0507405i | ||||
\(697\) | −0.506155 | − | 0.367743i | −0.0191720 | − | 0.0139293i | ||||
\(698\) | −10.3490 | + | 31.8511i | −0.391717 | + | 1.20558i | ||||
\(699\) | −1.57027 | −0.0593931 | ||||||||
\(700\) | −4.48725 | − | 2.20558i | −0.169602 | − | 0.0833630i | ||||
\(701\) | −5.48643 | −0.207220 | −0.103610 | − | 0.994618i | \(-0.533039\pi\) | ||||
−0.103610 | + | 0.994618i | \(0.533039\pi\) | |||||||
\(702\) | −0.349056 | + | 1.07428i | −0.0131743 | + | 0.0405462i | ||||
\(703\) | −7.32696 | − | 5.32335i | −0.276341 | − | 0.200774i | ||||
\(704\) | −2.18487 | − | 1.58740i | −0.0823452 | − | 0.0598273i | ||||
\(705\) | −0.346631 | − | 0.820092i | −0.0130549 | − | 0.0308864i | ||||
\(706\) | −3.10479 | + | 2.25576i | −0.116850 | + | 0.0848967i | ||||
\(707\) | 1.16599 | 0.0438517 | ||||||||
\(708\) | 0.189709 | − | 0.137832i | 0.00712970 | − | 0.00518003i | ||||
\(709\) | −9.12091 | − | 28.0713i | −0.342543 | − | 1.05424i | −0.962886 | − | 0.269908i | \(-0.913007\pi\) |
0.620343 | − | 0.784331i | \(-0.286993\pi\) | |||||||
\(710\) | −10.1062 | + | 8.75811i | −0.379279 | + | 0.328686i | ||||
\(711\) | −13.2340 | + | 40.7301i | −0.496314 | + | 1.52750i | ||||
\(712\) | 3.82966 | + | 11.7865i | 0.143522 | + | 0.441717i | ||||
\(713\) | −4.36310 | − | 13.4282i | −0.163399 | − | 0.502892i | ||||
\(714\) | 0.451125 | − | 1.38842i | 0.0168829 | − | 0.0519604i | ||||
\(715\) | 4.40055 | − | 0.378224i | 0.164571 | − | 0.0141448i | ||||
\(716\) | 5.10228 | + | 15.7032i | 0.190681 | + | 0.586856i | ||||
\(717\) | −1.13706 | + | 0.826125i | −0.0424644 | + | 0.0308522i | ||||
\(718\) | −16.1494 | −0.602692 | ||||||||
\(719\) | −22.8204 | + | 16.5800i | −0.851057 | + | 0.618329i | −0.925437 | − | 0.378901i | \(-0.876302\pi\) |
0.0743803 | + | 0.997230i | \(0.476302\pi\) | |||||||
\(720\) | −4.95493 | + | 4.29398i | −0.184659 | + | 0.160027i | ||||
\(721\) | −7.26052 | − | 5.27508i | −0.270396 | − | 0.196454i | ||||
\(722\) | −8.96487 | − | 6.51336i | −0.333638 | − | 0.242402i | ||||
\(723\) | −1.34516 | + | 4.13997i | −0.0500270 | + | 0.153967i | ||||
\(724\) | 20.0317 | 0.744472 | ||||||||
\(725\) | −39.2536 | − | 19.2939i | −1.45784 | − | 0.716559i | ||||
\(726\) | 0.964962 | 0.0358131 | ||||||||
\(727\) | −3.35729 | + | 10.3327i | −0.124515 | + | 0.383217i | −0.993812 | − | 0.111072i | \(-0.964572\pi\) |
0.869298 | + | 0.494289i | \(0.164572\pi\) | |||||||
\(728\) | −0.591712 | − | 0.429904i | −0.0219303 | − | 0.0159333i | ||||
\(729\) | 18.9380 | + | 13.7592i | 0.701406 | + | 0.509602i | ||||
\(730\) | 3.83675 | + | 2.31334i | 0.142005 | + | 0.0856205i | ||||
\(731\) | −6.03237 | + | 4.38277i | −0.223115 | + | 0.162103i | ||||
\(732\) | −3.56798 | −0.131876 | ||||||||
\(733\) | −8.66463 | + | 6.29522i | −0.320035 | + | 0.232519i | −0.736191 | − | 0.676774i | \(-0.763377\pi\) |
0.416155 | + | 0.909294i | \(0.363377\pi\) | |||||||
\(734\) | −11.2018 | − | 34.4755i | −0.413465 | − | 1.27251i | ||||
\(735\) | 0.498532 | + | 0.300586i | 0.0183886 | + | 0.0110873i | ||||
\(736\) | −2.10131 | + | 6.46716i | −0.0774553 | + | 0.238383i | ||||
\(737\) | −7.29428 | − | 22.4495i | −0.268688 | − | 0.826937i | ||||
\(738\) | −0.101096 | − | 0.311141i | −0.00372138 | − | 0.0114532i | ||||
\(739\) | −1.06032 | + | 3.26333i | −0.0390045 | + | 0.120044i | −0.968663 | − | 0.248379i | \(-0.920102\pi\) |
0.929658 | + | 0.368423i | \(0.120102\pi\) | |||||||
\(740\) | −1.62957 | + | 7.00957i | −0.0599042 | + | 0.257677i | ||||
\(741\) | −0.165580 | − | 0.509602i | −0.00608272 | − | 0.0187207i | ||||
\(742\) | 1.73372 | − | 1.25962i | 0.0636470 | − | 0.0462422i | ||||
\(743\) | 34.3350 | 1.25963 | 0.629815 | − | 0.776746i | \(-0.283131\pi\) | ||||
0.629815 | + | 0.776746i | \(0.283131\pi\) | |||||||
\(744\) | −0.437326 | + | 0.317736i | −0.0160331 | + | 0.0116488i | ||||
\(745\) | −42.2216 | + | 3.62892i | −1.54688 | + | 0.132953i | ||||
\(746\) | 7.04749 | + | 5.12030i | 0.258027 | + | 0.187467i | ||||
\(747\) | −20.5540 | − | 14.9334i | −0.752032 | − | 0.546384i | ||||
\(748\) | −4.67975 | + | 14.4028i | −0.171108 | + | 0.526618i | ||||
\(749\) | 12.0149 | 0.439014 | ||||||||
\(750\) | −1.84211 | + | 2.25362i | −0.0672644 | + | 0.0822905i | ||||
\(751\) | 19.4311 | 0.709050 | 0.354525 | − | 0.935046i | \(-0.384643\pi\) | ||||
0.354525 | + | 0.935046i | \(0.384643\pi\) | |||||||
\(752\) | 0.472618 | − | 1.45457i | 0.0172346 | − | 0.0530427i | ||||
\(753\) | 1.17316 | + | 0.852351i | 0.0427524 | + | 0.0310614i | ||||
\(754\) | −5.17618 | − | 3.76071i | −0.188505 | − | 0.136957i | ||||
\(755\) | −34.9607 | + | 3.00485i | −1.27235 | + | 0.109358i | ||||
\(756\) | 1.24944 | − | 0.907775i | 0.0454419 | − | 0.0330155i | ||||
\(757\) | 14.5445 | 0.528627 | 0.264314 | − | 0.964437i | \(-0.414855\pi\) | ||||
0.264314 | + | 0.964437i | \(0.414855\pi\) | |||||||
\(758\) | −5.10092 | + | 3.70603i | −0.185274 | + | 0.134609i | ||||
\(759\) | 1.47740 | + | 4.54698i | 0.0536263 | + | 0.165045i | ||||
\(760\) | 1.42484 | − | 6.12894i | 0.0516845 | − | 0.222320i | ||||
\(761\) | −13.0158 | + | 40.0585i | −0.471823 | + | 1.45212i | 0.378373 | + | 0.925653i | \(0.376484\pi\) |
−0.850195 | + | 0.526467i | \(0.823516\pi\) | |||||||
\(762\) | 0.405180 | + | 1.24702i | 0.0146781 | + | 0.0451746i | ||||
\(763\) | 0.178310 | + | 0.548782i | 0.00645526 | + | 0.0198672i | ||||
\(764\) | 2.89646 | − | 8.91438i | 0.104790 | − | 0.322511i | ||||
\(765\) | 31.4863 | + | 18.9844i | 1.13839 | + | 0.686382i | ||||
\(766\) | 6.68386 | + | 20.5708i | 0.241498 | + | 0.743253i | ||||
\(767\) | −0.532965 | + | 0.387222i | −0.0192442 | + | 0.0139818i | ||||
\(768\) | 0.260341 | 0.00939424 | ||||||||
\(769\) | −3.20947 | + | 2.33182i | −0.115737 | + | 0.0840875i | −0.644148 | − | 0.764901i | \(-0.722788\pi\) |
0.528411 | + | 0.848988i | \(0.322788\pi\) | |||||||
\(770\) | −5.17152 | − | 3.11813i | −0.186369 | − | 0.112369i | ||||
\(771\) | 1.81969 | + | 1.32208i | 0.0655345 | + | 0.0476136i | ||||
\(772\) | −11.0646 | − | 8.03893i | −0.398225 | − | 0.289327i | ||||
\(773\) | 9.56034 | − | 29.4237i | 0.343861 | − | 1.05830i | −0.618329 | − | 0.785919i | \(-0.712190\pi\) |
0.962190 | − | 0.272377i | \(-0.0878099\pi\) | |||||||
\(774\) | −3.89901 | −0.140147 | ||||||||
\(775\) | 7.23464 | − | 7.44602i | 0.259876 | − | 0.267469i | ||||
\(776\) | 13.6268 | 0.489173 | ||||||||
\(777\) | 0.258917 | − | 0.796864i | 0.00928859 | − | 0.0285873i | ||||
\(778\) | −24.1001 | − | 17.5098i | −0.864032 | − | 0.627756i | ||||
\(779\) | 0.254004 | + | 0.184545i | 0.00910065 | + | 0.00661201i | ||||
\(780\) | −0.321763 | + | 0.278842i | −0.0115210 | + | 0.00998415i | ||||
\(781\) | −13.0669 | + | 9.49364i | −0.467569 | + | 0.339709i | ||||
\(782\) | 38.1312 | 1.36357 | ||||||||
\(783\) | 10.9299 | − | 7.94103i | 0.390602 | − | 0.283789i | ||||
\(784\) | 0.309017 | + | 0.951057i | 0.0110363 | + | 0.0339663i | ||||
\(785\) | −31.5003 | + | 2.70743i | −1.12430 | + | 0.0966324i | ||||
\(786\) | 0.191086 | − | 0.588102i | 0.00681580 | − | 0.0209769i | ||||
\(787\) | −6.06574 | − | 18.6684i | −0.216220 | − | 0.665458i | −0.999065 | − | 0.0432401i | \(-0.986232\pi\) |
0.782844 | − | 0.622217i | \(-0.213768\pi\) | |||||||
\(788\) | −5.11108 | − | 15.7303i | −0.182075 | − | 0.560368i | ||||
\(789\) | 2.23473 | − | 6.87780i | 0.0795586 | − | 0.244856i | ||||
\(790\) | −24.6804 | + | 21.3882i | −0.878090 | + | 0.760960i | ||||
\(791\) | 2.00420 | + | 6.16830i | 0.0712612 | + | 0.219320i | ||||
\(792\) | −6.40651 | + | 4.65460i | −0.227645 | + | 0.165394i | ||||
\(793\) | 10.0238 | 0.355956 | ||||||||
\(794\) | 7.38762 | − | 5.36742i | 0.262177 | − | 0.190483i | ||||
\(795\) | −0.485692 | − | 1.14910i | −0.0172257 | − | 0.0407542i | ||||
\(796\) | −17.4309 | − | 12.6643i | −0.617823 | − | 0.448874i | ||||
\(797\) | −11.1866 | − | 8.12753i | −0.396249 | − | 0.287892i | 0.371762 | − | 0.928328i | \(-0.378754\pi\) |
−0.768011 | + | 0.640436i | \(0.778754\pi\) | |||||||
\(798\) | −0.226389 | + | 0.696752i | −0.00801407 | + | 0.0246648i | ||||
\(799\) | −8.57632 | −0.303408 | ||||||||
\(800\) | −4.92667 | + | 0.853190i | −0.174184 | + | 0.0301648i | ||||
\(801\) | 36.3391 | 1.28398 | ||||||||
\(802\) | 3.98177 | − | 12.2546i | 0.140601 | − | 0.432726i | ||||
\(803\) | 4.37761 | + | 3.18052i | 0.154482 | + | 0.112238i | ||||
\(804\) | 1.84091 | + | 1.33750i | 0.0649239 | + | 0.0471700i | ||||
\(805\) | −3.44306 | + | 14.8103i | −0.121352 | + | 0.521993i | ||||
\(806\) | 1.22861 | − | 0.892641i | 0.0432761 | − | 0.0314419i | ||||
\(807\) | 4.53484 | 0.159634 | ||||||||
\(808\) | 0.943309 | − | 0.685354i | 0.0331855 | − | 0.0241107i | ||||
\(809\) | 1.54385 | + | 4.75147i | 0.0542788 | + | 0.167053i | 0.974521 | − | 0.224296i | \(-0.0720084\pi\) |
−0.920242 | + | 0.391349i | \(0.872008\pi\) | |||||||
\(810\) | 7.30796 | + | 17.2899i | 0.256776 | + | 0.607505i | ||||
\(811\) | 8.51270 | − | 26.1994i | 0.298921 | − | 0.919986i | −0.682954 | − | 0.730461i | \(-0.739305\pi\) |
0.981876 | − | 0.189525i | \(-0.0606947\pi\) | |||||||
\(812\) | 2.70322 | + | 8.31965i | 0.0948643 | + | 0.291962i | ||||
\(813\) | 0.768854 | + | 2.36629i | 0.0269649 | + | 0.0829894i | ||||
\(814\) | −2.68587 | + | 8.26626i | −0.0941398 | + | 0.289732i | ||||
\(815\) | −17.1130 | − | 40.4875i | −0.599441 | − | 1.41822i | ||||
\(816\) | −0.451125 | − | 1.38842i | −0.0157925 | − | 0.0486045i | ||||
\(817\) | 3.02723 | − | 2.19941i | 0.105909 | − | 0.0769476i | ||||
\(818\) | −8.87447 | −0.310288 | ||||||||
\(819\) | −1.73503 | + | 1.26057i | −0.0606269 | + | 0.0440480i | ||||
\(820\) | 0.0564925 | − | 0.243001i | 0.00197280 | − | 0.00848597i | ||||
\(821\) | −5.75439 | − | 4.18081i | −0.200829 | − | 0.145911i | 0.482825 | − | 0.875717i | \(-0.339611\pi\) |
−0.683655 | + | 0.729806i | \(0.739611\pi\) | |||||||
\(822\) | −4.29505 | − | 3.12054i | −0.149807 | − | 0.108841i | ||||
\(823\) | −7.47445 | + | 23.0040i | −0.260543 | + | 0.801868i | 0.732144 | + | 0.681150i | \(0.238520\pi\) |
−0.992687 | + | 0.120718i | \(0.961480\pi\) | |||||||
\(824\) | −8.97449 | −0.312641 | ||||||||
\(825\) | −2.44974 | + | 2.52132i | −0.0852891 | + | 0.0877810i | ||||
\(826\) | 0.900716 | 0.0313399 | ||||||||
\(827\) | −7.91953 | + | 24.3738i | −0.275389 | + | 0.847560i | 0.713727 | + | 0.700424i | \(0.247006\pi\) |
−0.989116 | + | 0.147137i | \(0.952994\pi\) | |||||||
\(828\) | 16.1310 | + | 11.7199i | 0.560592 | + | 0.407294i | ||||
\(829\) | −29.4937 | − | 21.4284i | −1.02436 | − | 0.744239i | −0.0571855 | − | 0.998364i | \(-0.518213\pi\) |
−0.967171 | + | 0.254125i | \(0.918213\pi\) | |||||||
\(830\) | −7.54291 | − | 17.8457i | −0.261818 | − | 0.619435i | ||||
\(831\) | −1.97254 | + | 1.43314i | −0.0684268 | + | 0.0497150i | ||||
\(832\) | −0.731396 | −0.0253566 | ||||||||
\(833\) | 4.53660 | − | 3.29603i | 0.157184 | − | 0.114201i | ||||
\(834\) | −1.69950 | − | 5.23054i | −0.0588490 | − | 0.181119i | ||||
\(835\) | −17.3969 | + | 15.0763i | −0.602046 | + | 0.521738i | ||||
\(836\) | 2.34844 | − | 7.22775i | 0.0812225 | − | 0.249977i | ||||
\(837\) | 0.990940 | + | 3.04980i | 0.0342519 | + | 0.105416i | ||||
\(838\) | 7.51956 | + | 23.1428i | 0.259759 | + | 0.799455i | ||||
\(839\) | 0.926913 | − | 2.85274i | 0.0320006 | − | 0.0984877i | −0.933780 | − | 0.357846i | \(-0.883511\pi\) |
0.965781 | + | 0.259359i | \(0.0835112\pi\) | |||||||
\(840\) | 0.580001 | − | 0.0498507i | 0.0200119 | − | 0.00172001i | ||||
\(841\) | 14.6857 | + | 45.1979i | 0.506403 | + | 1.55855i | ||||
\(842\) | 5.40855 | − | 3.92954i | 0.186391 | − | 0.135421i | ||||
\(843\) | −3.50375 | −0.120676 | ||||||||
\(844\) | −9.64328 | + | 7.00626i | −0.331936 | + | 0.241165i | ||||
\(845\) | −21.0637 | + | 18.2540i | −0.724614 | + | 0.627956i | ||||
\(846\) | −3.62813 | − | 2.63599i | −0.124738 | − | 0.0906272i | ||||
\(847\) | 2.99865 | + | 2.17865i | 0.103035 | + | 0.0748592i | ||||
\(848\) | 0.662223 | − | 2.03811i | 0.0227408 | − | 0.0699891i | ||||
\(849\) | 4.53206 | 0.155540 | ||||||||
\(850\) | 13.0872 | + | 24.7960i | 0.448888 | + | 0.850494i | ||||
\(851\) | 21.8848 | 0.750203 | ||||||||
\(852\) | 0.481140 | − | 1.48080i | 0.0164836 | − | 0.0507312i | ||||
\(853\) | −27.3931 | − | 19.9022i | −0.937921 | − | 0.681440i | 0.00999831 | − | 0.999950i | \(-0.496817\pi\) |
−0.947919 | + | 0.318511i | \(0.896817\pi\) | |||||||
\(854\) | −11.0876 | − | 8.05561i | −0.379410 | − | 0.275657i | ||||
\(855\) | −15.8008 | − | 9.52695i | −0.540375 | − | 0.325815i | ||||
\(856\) | 9.72023 | − | 7.06216i | 0.332231 | − | 0.241380i | ||||
\(857\) | 45.2331 | 1.54513 | 0.772566 | − | 0.634934i | \(-0.218973\pi\) | ||||
0.772566 | + | 0.634934i | \(0.218973\pi\) | |||||||
\(858\) | −0.416025 | + | 0.302260i | −0.0142029 | + | 0.0103190i | ||||
\(859\) | −5.23613 | − | 16.1152i | −0.178655 | − | 0.549842i | 0.821127 | − | 0.570746i | \(-0.193346\pi\) |
−0.999782 | + | 0.0209034i | \(0.993346\pi\) | |||||||
\(860\) | −2.54630 | − | 1.53527i | −0.0868279 | − | 0.0523522i | ||||
\(861\) | −0.00897590 | + | 0.0276250i | −0.000305898 | + | 0.000941456i | ||||
\(862\) | −9.37932 | − | 28.8666i | −0.319461 | − | 0.983200i | ||||
\(863\) | −8.30245 | − | 25.5523i | −0.282619 | − | 0.869810i | −0.987102 | − | 0.160090i | \(-0.948821\pi\) |
0.704484 | − | 0.709720i | \(-0.251179\pi\) | |||||||
\(864\) | 0.477246 | − | 1.46881i | 0.0162362 | − | 0.0499700i | ||||
\(865\) | 11.2540 | − | 48.4089i | 0.382648 | − | 1.64595i | ||||
\(866\) | 9.45013 | + | 29.0845i | 0.321129 | + | 0.988332i | ||||
\(867\) | −3.04232 | + | 2.21037i | −0.103322 | + | 0.0750682i | ||||
\(868\) | −2.07637 | −0.0704767 | ||||||||
\(869\) | −31.9107 | + | 23.1845i | −1.08250 | + | 0.786480i | ||||
\(870\) | 5.07373 | − | 0.436084i | 0.172016 | − | 0.0147846i | ||||
\(871\) | −5.17182 | − | 3.75755i | −0.175240 | − | 0.127320i | ||||
\(872\) | 0.466822 | + | 0.339166i | 0.0158086 | + | 0.0114856i | ||||
\(873\) | 12.3473 | − | 38.0012i | 0.417894 | − | 1.28614i | ||||
\(874\) | −19.1354 | −0.647265 | ||||||||
\(875\) | −10.8125 | + | 2.84415i | −0.365530 | + | 0.0961500i | ||||
\(876\) | −0.521620 | −0.0176239 | ||||||||
\(877\) | 7.02167 | − | 21.6105i | 0.237105 | − | 0.729734i | −0.759730 | − | 0.650239i | \(-0.774669\pi\) |
0.996835 | − | 0.0794958i | \(-0.0253310\pi\) | |||||||
\(878\) | 29.2476 | + | 21.2496i | 0.987060 | + | 0.717141i | ||||
\(879\) | 6.57906 | + | 4.77997i | 0.221906 | + | 0.161224i | ||||
\(880\) | −6.01664 | + | 0.517126i | −0.202821 | + | 0.0174323i | ||||
\(881\) | −34.1484 | + | 24.8102i | −1.15049 | + | 0.835878i | −0.988546 | − | 0.150922i | \(-0.951776\pi\) |
−0.161942 | + | 0.986800i | \(0.551776\pi\) | |||||||
\(882\) | 2.93222 | 0.0987331 | ||||||||
\(883\) | −13.5242 | + | 9.82590i | −0.455125 | + | 0.330668i | −0.791616 | − | 0.611019i | \(-0.790760\pi\) |
0.336491 | + | 0.941687i | \(0.390760\pi\) | |||||||
\(884\) | 1.26738 | + | 3.90060i | 0.0426267 | + | 0.131192i | ||||
\(885\) | 0.118732 | − | 0.510723i | 0.00399113 | − | 0.0171678i | ||||
\(886\) | −12.1183 | + | 37.2962i | −0.407122 | + | 1.25299i | ||||
\(887\) | −10.1314 | − | 31.1813i | −0.340179 | − | 1.04696i | −0.964114 | − | 0.265488i | \(-0.914467\pi\) |
0.623935 | − | 0.781476i | \(-0.285533\pi\) | |||||||
\(888\) | −0.258917 | − | 0.796864i | −0.00868868 | − | 0.0267410i | ||||
\(889\) | −1.55635 | + | 4.78994i | −0.0521982 | + | 0.160649i | ||||
\(890\) | 23.7317 | + | 14.3088i | 0.795488 | + | 0.479633i | ||||
\(891\) | 7.00566 | + | 21.5612i | 0.234699 | + | 0.722328i | ||||
\(892\) | 4.32732 | − | 3.14398i | 0.144889 | − | 0.105268i | ||||
\(893\) | 4.30386 | 0.144023 | ||||||||
\(894\) | 3.99161 | − | 2.90007i | 0.133499 | − | 0.0969929i | ||||
\(895\) | 31.6179 | + | 19.0638i | 1.05687 | + | 0.637232i | ||||
\(896\) | 0.809017 | + | 0.587785i | 0.0270274 | + | 0.0196365i | ||||
\(897\) | 1.04751 | + | 0.761064i | 0.0349755 | + | 0.0254112i | ||||
\(898\) | 4.28559 | − | 13.1897i | 0.143012 | − | 0.440146i | ||||
\(899\) | −18.1637 | −0.605793 | ||||||||
\(900\) | −2.08479 | + | 14.5121i | −0.0694929 | + | 0.483738i | ||||
\(901\) | −12.0170 | −0.400343 | ||||||||
\(902\) | 0.0931114 | − | 0.286567i | 0.00310027 | − | 0.00954165i | ||||
\(903\) | 0.280064 | + | 0.203478i | 0.00931994 | + | 0.00677134i | ||||
\(904\) | 5.24707 | + | 3.81222i | 0.174515 | + | 0.126793i | ||||
\(905\) | 33.8500 | − | 29.3347i | 1.12521 | − | 0.975117i | ||||
\(906\) | 3.30517 | − | 2.40135i | 0.109807 | − | 0.0797794i | ||||
\(907\) | 21.2772 | 0.706499 | 0.353250 | − | 0.935529i | \(-0.385077\pi\) | ||||
0.353250 | + | 0.935529i | \(0.385077\pi\) | |||||||
\(908\) | 4.16096 | − | 3.02312i | 0.138086 | − | 0.100326i | ||||
\(909\) | −1.05652 | − | 3.25162i | −0.0350424 | − | 0.107849i | ||||
\(910\) | −1.62944 | + | 0.140050i | −0.0540156 | + | 0.00464260i | ||||
\(911\) | 6.36822 | − | 19.5994i | 0.210989 | − | 0.649356i | −0.788425 | − | 0.615130i | \(-0.789103\pi\) |
0.999414 | − | 0.0342260i | \(-0.0108966\pi\) | |||||||
\(912\) | 0.226389 | + | 0.696752i | 0.00749647 | + | 0.0230718i | ||||
\(913\) | −7.23089 | − | 22.2544i | −0.239307 | − | 0.736513i | ||||
\(914\) | 5.15294 | − | 15.8591i | 0.170444 | − | 0.524573i | ||||
\(915\) | −6.02924 | + | 5.22499i | −0.199321 | + | 0.172733i | ||||
\(916\) | −0.357419 | − | 1.10002i | −0.0118095 | − | 0.0363458i | ||||
\(917\) | 1.92159 | − | 1.39612i | 0.0634566 | − | 0.0461039i | ||||
\(918\) | −8.66029 | −0.285832 | ||||||||
\(919\) | 2.40906 | − | 1.75028i | 0.0794675 | − | 0.0577365i | −0.547342 | − | 0.836909i | \(-0.684360\pi\) |
0.626810 | + | 0.779172i | \(0.284360\pi\) | |||||||
\(920\) | 5.91976 | + | 14.0055i | 0.195169 | + | 0.461749i | ||||
\(921\) | 3.70735 | + | 2.69354i | 0.122161 | + | 0.0887553i | ||||
\(922\) | 15.2815 | + | 11.1027i | 0.503270 | + | 0.365647i | ||||
\(923\) | −1.35171 | + | 4.16012i | −0.0444919 | + | 0.136932i | ||||
\(924\) | 0.703087 | 0.0231299 | ||||||||
\(925\) | 7.51121 | + | 14.2313i | 0.246967 | + | 0.467922i | ||||
\(926\) | −19.7073 | −0.647623 | ||||||||
\(927\) | −8.13185 | + | 25.0273i | −0.267085 | + | 0.822003i | ||||
\(928\) | 7.07711 | + | 5.14182i | 0.232318 | + | 0.168789i | ||||
\(929\) | 9.44764 | + | 6.86412i | 0.309967 | + | 0.225204i | 0.731882 | − | 0.681431i | \(-0.238642\pi\) |
−0.421915 | + | 0.906635i | \(0.638642\pi\) | |||||||
\(930\) | −0.273706 | + | 1.17734i | −0.00897518 | + | 0.0386066i | ||||
\(931\) | −2.27661 | + | 1.65405i | −0.0746127 | + | 0.0542093i | ||||
\(932\) | −6.03160 | −0.197572 | ||||||||
\(933\) | −6.59874 | + | 4.79427i | −0.216033 | + | 0.156957i | ||||
\(934\) | 4.41906 | + | 13.6005i | 0.144596 | + | 0.445021i | ||||
\(935\) | 13.1837 | + | 31.1912i | 0.431152 | + | 1.02006i | ||||
\(936\) | −0.662723 | + | 2.03965i | −0.0216618 | + | 0.0666681i | ||||
\(937\) | −9.01087 | − | 27.7326i | −0.294372 | − | 0.905985i | −0.983432 | − | 0.181280i | \(-0.941976\pi\) |
0.689059 | − | 0.724705i | \(-0.258024\pi\) | |||||||
\(938\) | 2.70094 | + | 8.31264i | 0.0881889 | + | 0.271417i | ||||
\(939\) | 0.688769 | − | 2.11981i | 0.0224771 | − | 0.0691775i | ||||
\(940\) | −1.33145 | − | 3.15007i | −0.0434271 | − | 0.102744i | ||||
\(941\) | −12.3369 | − | 37.9692i | −0.402173 | − | 1.23776i | −0.923233 | − | 0.384240i | \(-0.874463\pi\) |
0.521060 | − | 0.853520i | \(-0.325537\pi\) | |||||||
\(942\) | 2.97802 | − | 2.16366i | 0.0970292 | − | 0.0704959i | ||||
\(943\) | −0.758684 | −0.0247062 | ||||||||
\(944\) | 0.728695 | − | 0.529428i | 0.0237170 | − | 0.0172314i | ||||
\(945\) | 0.781982 | − | 3.36368i | 0.0254379 | − | 0.109421i | ||||
\(946\) | −2.90524 | − | 2.11078i | −0.0944575 | − | 0.0686274i | ||||
\(947\) | 0.966504 | + | 0.702207i | 0.0314072 | + | 0.0228186i | 0.603378 | − | 0.797455i | \(-0.293821\pi\) |
−0.571971 | + | 0.820274i | \(0.693821\pi\) | |||||||
\(948\) | 1.17500 | − | 3.61626i | 0.0381621 | − | 0.117451i | ||||
\(949\) | 1.46543 | 0.0475699 | ||||||||
\(950\) | −6.56756 | − | 12.4434i | −0.213080 | − | 0.403716i | ||||
\(951\) | 0.813792 | 0.0263890 | ||||||||
\(952\) | 1.73283 | − | 5.33309i | 0.0561612 | − | 0.172847i | ||||
\(953\) | −23.2771 | − | 16.9118i | −0.754019 | − | 0.547827i | 0.143051 | − | 0.989715i | \(-0.454309\pi\) |
−0.897070 | + | 0.441888i | \(0.854309\pi\) | |||||||
\(954\) | −5.08366 | − | 3.69350i | −0.164590 | − | 0.119581i | ||||
\(955\) | −8.15983 | − | 19.3053i | −0.264046 | − | 0.624705i | ||||
\(956\) | −4.36760 | + | 3.17325i | −0.141258 | + | 0.102630i | ||||
\(957\) | 6.15046 | 0.198816 | ||||||||
\(958\) | −3.36499 | + | 2.44481i | −0.108718 | + | 0.0789881i | ||||
\(959\) | −6.30161 | − | 19.3944i | −0.203490 | − | 0.626276i | ||||
\(960\) | 0.439929 | − | 0.381246i | 0.0141987 | − | 0.0123047i | ||||
\(961\) | −8.24725 | + | 25.3824i | −0.266040 | + | 0.818788i | ||||
\(962\) | 0.727396 | + | 2.23870i | 0.0234522 | + | 0.0721784i | ||||
\(963\) | −10.8867 | − | 33.5060i | −0.350821 | − | 1.07971i | ||||
\(964\) | −5.16692 | + | 15.9021i | −0.166415 | + | 0.512173i | ||||
\(965\) | −30.4696 | + | 2.61884i | −0.980850 | + | 0.0843034i | ||||
\(966\) | −0.547056 | − | 1.68367i | −0.0176012 | − | 0.0541711i | ||||
\(967\) | 10.8279 | − | 7.86691i | 0.348201 | − | 0.252983i | −0.399913 | − | 0.916553i | \(-0.630960\pi\) |
0.748114 | + | 0.663570i | \(0.230960\pi\) | |||||||
\(968\) | 3.70653 | 0.119133 | ||||||||
\(969\) | 3.32355 | − | 2.41470i | 0.106768 | − | 0.0775714i | ||||
\(970\) | 23.0268 | − | 19.9552i | 0.739347 | − | 0.640724i | ||||
\(971\) | 17.9636 | + | 13.0513i | 0.576478 | + | 0.418836i | 0.837453 | − | 0.546510i | \(-0.184044\pi\) |
−0.260974 | + | 0.965346i | \(0.584044\pi\) | |||||||
\(972\) | −5.51641 | − | 4.00790i | −0.176939 | − | 0.128554i | ||||
\(973\) | 6.52800 | − | 20.0911i | 0.209278 | − | 0.644092i | ||||
\(974\) | 2.55135 | 0.0817507 | ||||||||
\(975\) | −0.135382 | + | 0.942386i | −0.00433568 | + | 0.0301805i | ||||
\(976\) | −13.7050 | −0.438687 | ||||||||
\(977\) | 7.56286 | − | 23.2761i | 0.241957 | − | 0.744668i | −0.754165 | − | 0.656685i | \(-0.771958\pi\) |
0.996122 | − | 0.0879825i | \(-0.0280420\pi\) | |||||||
\(978\) | 4.14027 | + | 3.00808i | 0.132391 | + | 0.0961879i | ||||
\(979\) | 27.0771 | + | 19.6727i | 0.865388 | + | 0.628741i | ||||
\(980\) | 1.91492 | + | 1.15459i | 0.0611700 | + | 0.0368819i | ||||
\(981\) | 1.36883 | − | 0.994510i | 0.0437032 | − | 0.0317523i | ||||
\(982\) | 42.2579 | 1.34850 | ||||||||
\(983\) | −9.99169 | + | 7.25939i | −0.318685 | + | 0.231538i | −0.735614 | − | 0.677401i | \(-0.763106\pi\) |
0.416929 | + | 0.908939i | \(0.363106\pi\) | |||||||
\(984\) | 0.00897590 | + | 0.0276250i | 0.000286141 | + | 0.000880652i | ||||
\(985\) | −31.6724 | − | 19.0966i | −1.00917 | − | 0.608470i | ||||
\(986\) | 15.1584 | − | 46.6528i | 0.482742 | − | 1.48573i | ||||
\(987\) | 0.123042 | + | 0.378684i | 0.00391646 | + | 0.0120536i | ||||
\(988\) | −0.636012 | − | 1.95744i | −0.0202342 | − | 0.0622746i | ||||
\(989\) | −2.79413 | + | 8.59946i | −0.0888483 | + | 0.273447i | ||||
\(990\) | −4.00960 | + | 17.2472i | −0.127433 | + | 0.548153i | ||||
\(991\) | 5.82318 | + | 17.9219i | 0.184979 | + | 0.569308i | 0.999948 | − | 0.0101969i | \(-0.00324584\pi\) |
−0.814969 | + | 0.579505i | \(0.803246\pi\) | |||||||
\(992\) | −1.67982 | + | 1.22046i | −0.0533344 | + | 0.0387497i | ||||
\(993\) | 4.27474 | 0.135655 | ||||||||
\(994\) | 4.83843 | − | 3.51533i | 0.153466 | − | 0.111499i | ||||
\(995\) | −48.0009 | + | 4.12565i | −1.52173 | + | 0.130792i | ||||
\(996\) | 1.82491 | + | 1.32588i | 0.0578246 | + | 0.0420120i | ||||
\(997\) | −18.6572 | − | 13.5552i | −0.590879 | − | 0.429299i | 0.251751 | − | 0.967792i | \(-0.418994\pi\) |
−0.842630 | + | 0.538494i | \(0.818994\pi\) | |||||||
\(998\) | 4.41244 | − | 13.5801i | 0.139673 | − | 0.429871i | ||||
\(999\) | −4.97045 | −0.157258 |
(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 | 350.2.h.d.71.3 | ✓ | 20 | |
25.6 | even | 5 | inner | 350.2.h.d.281.3 | yes | 20 | |
25.9 | even | 10 | 8750.2.a.x.1.5 | 10 | |||
25.16 | even | 5 | 8750.2.a.w.1.6 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.h.d.71.3 | ✓ | 20 | 1.1 | even | 1 | trivial | |
350.2.h.d.281.3 | yes | 20 | 25.6 | even | 5 | inner | |
8750.2.a.w.1.6 | 10 | 25.16 | even | 5 | |||
8750.2.a.x.1.5 | 10 | 25.9 | even | 10 |