Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(121,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.i (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + 2 x^{14} - 4 x^{13} + 5 x^{12} + 2 x^{11} - 35 x^{10} + 81 x^{9} - 66 x^{8} + 243 x^{7} - 315 x^{6} + 54 x^{5} + 405 x^{4} - 972 x^{3} + 1458 x^{2} - 2187 x + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 151.8 | ||
Root | \(0.748691 - 1.56188i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 630.151 |
Dual form | 630.2.i.i.121.8 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | 1.72697 | + | 0.132553i | 0.997067 | + | 0.0765297i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | −1.72697 | − | 0.132553i | −0.705033 | − | 0.0541147i | ||||
\(7\) | 1.01860 | − | 2.44181i | 0.384994 | − | 0.922919i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.96486 | + | 0.457832i | 0.988286 | + | 0.152611i | ||||
\(10\) | −0.500000 | + | 0.866025i | −0.158114 | + | 0.273861i | ||||
\(11\) | 2.91301 | + | 5.04548i | 0.878306 | + | 1.52127i | 0.853199 | + | 0.521585i | \(0.174659\pi\) |
0.0251068 | + | 0.999685i | \(0.492007\pi\) | |||||||
\(12\) | 1.72697 | + | 0.132553i | 0.498534 | + | 0.0382648i | ||||
\(13\) | −0.511531 | − | 0.885998i | −0.141873 | − | 0.245732i | 0.786329 | − | 0.617808i | \(-0.211979\pi\) |
−0.928202 | + | 0.372077i | \(0.878646\pi\) | |||||||
\(14\) | −1.01860 | + | 2.44181i | −0.272232 | + | 0.652602i | ||||
\(15\) | 0.978280 | − | 1.42932i | 0.252591 | − | 0.369050i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −2.17561 | + | 3.76827i | −0.527664 | + | 0.913940i | 0.471816 | + | 0.881697i | \(0.343598\pi\) |
−0.999480 | + | 0.0322433i | \(0.989735\pi\) | |||||||
\(18\) | −2.96486 | − | 0.457832i | −0.698824 | − | 0.107912i | ||||
\(19\) | −0.704732 | − | 1.22063i | −0.161677 | − | 0.280032i | 0.773794 | − | 0.633438i | \(-0.218357\pi\) |
−0.935470 | + | 0.353406i | \(0.885023\pi\) | |||||||
\(20\) | 0.500000 | − | 0.866025i | 0.111803 | − | 0.193649i | ||||
\(21\) | 2.08276 | − | 4.08193i | 0.454495 | − | 0.890749i | ||||
\(22\) | −2.91301 | − | 5.04548i | −0.621056 | − | 1.07570i | ||||
\(23\) | 3.30138 | − | 5.71815i | 0.688384 | − | 1.19232i | −0.283976 | − | 0.958831i | \(-0.591654\pi\) |
0.972360 | − | 0.233485i | \(-0.0750131\pi\) | |||||||
\(24\) | −1.72697 | − | 0.132553i | −0.352517 | − | 0.0270573i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 0.511531 | + | 0.885998i | 0.100319 | + | 0.173758i | ||||
\(27\) | 5.05954 | + | 1.18366i | 0.973709 | + | 0.227796i | ||||
\(28\) | 1.01860 | − | 2.44181i | 0.192497 | − | 0.461460i | ||||
\(29\) | 2.77093 | − | 4.79939i | 0.514549 | − | 0.891225i | −0.485309 | − | 0.874343i | \(-0.661293\pi\) |
0.999857 | − | 0.0168819i | \(-0.00537394\pi\) | |||||||
\(30\) | −0.978280 | + | 1.42932i | −0.178609 | + | 0.260958i | ||||
\(31\) | −3.82602 | −0.687174 | −0.343587 | − | 0.939121i | \(-0.611642\pi\) | ||||
−0.343587 | + | 0.939121i | \(0.611642\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 4.36189 | + | 9.09953i | 0.759308 | + | 1.58403i | ||||
\(34\) | 2.17561 | − | 3.76827i | 0.373114 | − | 0.646253i | ||||
\(35\) | −1.60537 | − | 2.10304i | −0.271358 | − | 0.355478i | ||||
\(36\) | 2.96486 | + | 0.457832i | 0.494143 | + | 0.0763053i | ||||
\(37\) | −3.85479 | − | 6.67670i | −0.633724 | − | 1.09764i | −0.986784 | − | 0.162042i | \(-0.948192\pi\) |
0.353060 | − | 0.935601i | \(-0.385141\pi\) | |||||||
\(38\) | 0.704732 | + | 1.22063i | 0.114323 | + | 0.198012i | ||||
\(39\) | −0.765957 | − | 1.59790i | −0.122651 | − | 0.255868i | ||||
\(40\) | −0.500000 | + | 0.866025i | −0.0790569 | + | 0.136931i | ||||
\(41\) | 5.46652 | + | 9.46829i | 0.853727 | + | 1.47870i | 0.877821 | + | 0.478988i | \(0.158996\pi\) |
−0.0240946 | + | 0.999710i | \(0.507670\pi\) | |||||||
\(42\) | −2.08276 | + | 4.08193i | −0.321377 | + | 0.629855i | ||||
\(43\) | −0.340159 | + | 0.589173i | −0.0518737 | + | 0.0898480i | −0.890796 | − | 0.454403i | \(-0.849853\pi\) |
0.838923 | + | 0.544251i | \(0.183186\pi\) | |||||||
\(44\) | 2.91301 | + | 5.04548i | 0.439153 | + | 0.760635i | ||||
\(45\) | 1.87892 | − | 2.33873i | 0.280093 | − | 0.348637i | ||||
\(46\) | −3.30138 | + | 5.71815i | −0.486761 | + | 0.843095i | ||||
\(47\) | 3.58765 | 0.523312 | 0.261656 | − | 0.965161i | \(-0.415731\pi\) | ||||
0.261656 | + | 0.965161i | \(0.415731\pi\) | |||||||
\(48\) | 1.72697 | + | 0.132553i | 0.249267 | + | 0.0191324i | ||||
\(49\) | −4.92492 | − | 4.97445i | −0.703560 | − | 0.710636i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | −4.25672 | + | 6.21931i | −0.596060 | + | 0.870878i | ||||
\(52\) | −0.511531 | − | 0.885998i | −0.0709366 | − | 0.122866i | ||||
\(53\) | −3.17645 | + | 5.50177i | −0.436319 | + | 0.755726i | −0.997402 | − | 0.0720329i | \(-0.977051\pi\) |
0.561083 | + | 0.827759i | \(0.310385\pi\) | |||||||
\(54\) | −5.05954 | − | 1.18366i | −0.688516 | − | 0.161076i | ||||
\(55\) | 5.82602 | 0.785581 | ||||||||
\(56\) | −1.01860 | + | 2.44181i | −0.136116 | + | 0.326301i | ||||
\(57\) | −1.05525 | − | 2.20141i | −0.139772 | − | 0.291584i | ||||
\(58\) | −2.77093 | + | 4.79939i | −0.363841 | + | 0.630191i | ||||
\(59\) | −8.56197 | −1.11467 | −0.557337 | − | 0.830286i | \(-0.688177\pi\) | ||||
−0.557337 | + | 0.830286i | \(0.688177\pi\) | |||||||
\(60\) | 0.978280 | − | 1.42932i | 0.126295 | − | 0.184525i | ||||
\(61\) | 1.43754 | 0.184058 | 0.0920291 | − | 0.995756i | \(-0.470665\pi\) | ||||
0.0920291 | + | 0.995756i | \(0.470665\pi\) | |||||||
\(62\) | 3.82602 | 0.485905 | ||||||||
\(63\) | 4.13794 | − | 6.77329i | 0.521331 | − | 0.853354i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −1.02306 | −0.126895 | ||||||||
\(66\) | −4.36189 | − | 9.09953i | −0.536912 | − | 1.12008i | ||||
\(67\) | 13.9015 | 1.69833 | 0.849166 | − | 0.528126i | \(-0.177105\pi\) | ||||
0.849166 | + | 0.528126i | \(0.177105\pi\) | |||||||
\(68\) | −2.17561 | + | 3.76827i | −0.263832 | + | 0.456970i | ||||
\(69\) | 6.45934 | − | 9.43747i | 0.777613 | − | 1.13614i | ||||
\(70\) | 1.60537 | + | 2.10304i | 0.191879 | + | 0.251361i | ||||
\(71\) | −10.4573 | −1.24105 | −0.620525 | − | 0.784187i | \(-0.713080\pi\) | ||||
−0.620525 | + | 0.784187i | \(0.713080\pi\) | |||||||
\(72\) | −2.96486 | − | 0.457832i | −0.349412 | − | 0.0539560i | ||||
\(73\) | −0.343505 | + | 0.594968i | −0.0402042 | + | 0.0696357i | −0.885427 | − | 0.464778i | \(-0.846134\pi\) |
0.845223 | + | 0.534414i | \(0.179468\pi\) | |||||||
\(74\) | 3.85479 | + | 6.67670i | 0.448111 | + | 0.776150i | ||||
\(75\) | −0.748691 | − | 1.56188i | −0.0864514 | − | 0.180350i | ||||
\(76\) | −0.704732 | − | 1.22063i | −0.0808383 | − | 0.140016i | ||||
\(77\) | 15.2873 | − | 1.97372i | 1.74215 | − | 0.224926i | ||||
\(78\) | 0.765957 | + | 1.59790i | 0.0867276 | + | 0.180926i | ||||
\(79\) | 5.35025 | 0.601950 | 0.300975 | − | 0.953632i | \(-0.402688\pi\) | ||||
0.300975 | + | 0.953632i | \(0.402688\pi\) | |||||||
\(80\) | 0.500000 | − | 0.866025i | 0.0559017 | − | 0.0968246i | ||||
\(81\) | 8.58078 | + | 2.71481i | 0.953420 | + | 0.301646i | ||||
\(82\) | −5.46652 | − | 9.46829i | −0.603676 | − | 1.04560i | ||||
\(83\) | −6.94521 | + | 12.0295i | −0.762336 | + | 1.32040i | 0.179308 | + | 0.983793i | \(0.442614\pi\) |
−0.941644 | + | 0.336611i | \(0.890719\pi\) | |||||||
\(84\) | 2.08276 | − | 4.08193i | 0.227248 | − | 0.445375i | ||||
\(85\) | 2.17561 | + | 3.76827i | 0.235978 | + | 0.408726i | ||||
\(86\) | 0.340159 | − | 0.589173i | 0.0366803 | − | 0.0635321i | ||||
\(87\) | 5.42149 | − | 7.92112i | 0.581245 | − | 0.849233i | ||||
\(88\) | −2.91301 | − | 5.04548i | −0.310528 | − | 0.537850i | ||||
\(89\) | −1.81945 | − | 3.15139i | −0.192862 | − | 0.334046i | 0.753336 | − | 0.657636i | \(-0.228444\pi\) |
−0.946197 | + | 0.323590i | \(0.895110\pi\) | |||||||
\(90\) | −1.87892 | + | 2.33873i | −0.198056 | + | 0.246524i | ||||
\(91\) | −2.68449 | + | 0.346589i | −0.281411 | + | 0.0363324i | ||||
\(92\) | 3.30138 | − | 5.71815i | 0.344192 | − | 0.596158i | ||||
\(93\) | −6.60743 | − | 0.507152i | −0.685158 | − | 0.0525892i | ||||
\(94\) | −3.58765 | −0.370038 | ||||||||
\(95\) | −1.40946 | −0.144608 | ||||||||
\(96\) | −1.72697 | − | 0.132553i | −0.176258 | − | 0.0135287i | ||||
\(97\) | 5.46600 | − | 9.46739i | 0.554988 | − | 0.961268i | −0.442916 | − | 0.896563i | \(-0.646056\pi\) |
0.997904 | − | 0.0647051i | \(-0.0206107\pi\) | |||||||
\(98\) | 4.92492 | + | 4.97445i | 0.497492 | + | 0.502496i | ||||
\(99\) | 6.32669 | + | 16.2928i | 0.635856 | + | 1.63749i | ||||
\(100\) | −0.500000 | − | 0.866025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | 3.93224 | + | 6.81084i | 0.391273 | + | 0.677704i | 0.992618 | − | 0.121285i | \(-0.0387016\pi\) |
−0.601345 | + | 0.798989i | \(0.705368\pi\) | |||||||
\(102\) | 4.25672 | − | 6.21931i | 0.421478 | − | 0.615804i | ||||
\(103\) | −1.72295 | + | 2.98424i | −0.169768 | + | 0.294046i | −0.938338 | − | 0.345719i | \(-0.887635\pi\) |
0.768570 | + | 0.639765i | \(0.220968\pi\) | |||||||
\(104\) | 0.511531 | + | 0.885998i | 0.0501597 | + | 0.0868792i | ||||
\(105\) | −2.49367 | − | 3.84469i | −0.243357 | − | 0.375203i | ||||
\(106\) | 3.17645 | − | 5.50177i | 0.308524 | − | 0.534379i | ||||
\(107\) | −9.49393 | − | 16.4440i | −0.917813 | − | 1.58970i | −0.802729 | − | 0.596343i | \(-0.796620\pi\) |
−0.115084 | − | 0.993356i | \(-0.536714\pi\) | |||||||
\(108\) | 5.05954 | + | 1.18366i | 0.486854 | + | 0.113898i | ||||
\(109\) | −5.82204 | + | 10.0841i | −0.557651 | + | 0.965879i | 0.440041 | + | 0.897977i | \(0.354964\pi\) |
−0.997692 | + | 0.0679016i | \(0.978370\pi\) | |||||||
\(110\) | −5.82602 | −0.555489 | ||||||||
\(111\) | −5.77210 | − | 12.0414i | −0.547863 | − | 1.14292i | ||||
\(112\) | 1.01860 | − | 2.44181i | 0.0962484 | − | 0.230730i | ||||
\(113\) | −8.66188 | − | 15.0028i | −0.814841 | − | 1.41135i | −0.909442 | − | 0.415831i | \(-0.863491\pi\) |
0.0946006 | − | 0.995515i | \(-0.469843\pi\) | |||||||
\(114\) | 1.05525 | + | 2.20141i | 0.0988334 | + | 0.206181i | ||||
\(115\) | −3.30138 | − | 5.71815i | −0.307855 | − | 0.533220i | ||||
\(116\) | 2.77093 | − | 4.79939i | 0.257274 | − | 0.445612i | ||||
\(117\) | −1.11098 | − | 2.86105i | −0.102710 | − | 0.264505i | ||||
\(118\) | 8.56197 | 0.788194 | ||||||||
\(119\) | 6.98535 | + | 9.15080i | 0.640346 | + | 0.838852i | ||||
\(120\) | −0.978280 | + | 1.42932i | −0.0893044 | + | 0.130479i | ||||
\(121\) | −11.4713 | + | 19.8688i | −1.04284 | + | 1.80626i | ||||
\(122\) | −1.43754 | −0.130149 | ||||||||
\(123\) | 8.18547 | + | 17.0761i | 0.738059 | + | 1.53970i | ||||
\(124\) | −3.82602 | −0.343587 | ||||||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −4.13794 | + | 6.77329i | −0.368637 | + | 0.603413i | ||||
\(127\) | −14.9902 | −1.33016 | −0.665081 | − | 0.746771i | \(-0.731603\pi\) | ||||
−0.665081 | + | 0.746771i | \(0.731603\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −0.665541 | + | 0.972395i | −0.0585977 | + | 0.0856146i | ||||
\(130\) | 1.02306 | 0.0897285 | ||||||||
\(131\) | −8.91663 | + | 15.4441i | −0.779050 | + | 1.34935i | 0.153440 | + | 0.988158i | \(0.450965\pi\) |
−0.932490 | + | 0.361196i | \(0.882369\pi\) | |||||||
\(132\) | 4.36189 | + | 9.09953i | 0.379654 | + | 0.792013i | ||||
\(133\) | −3.69839 | + | 0.477492i | −0.320691 | + | 0.0414038i | ||||
\(134\) | −13.9015 | −1.20090 | ||||||||
\(135\) | 3.55485 | − | 3.78986i | 0.305953 | − | 0.326179i | ||||
\(136\) | 2.17561 | − | 3.76827i | 0.186557 | − | 0.323127i | ||||
\(137\) | 3.36590 | + | 5.82991i | 0.287568 | + | 0.498083i | 0.973229 | − | 0.229839i | \(-0.0738199\pi\) |
−0.685661 | + | 0.727921i | \(0.740487\pi\) | |||||||
\(138\) | −6.45934 | + | 9.43747i | −0.549856 | + | 0.803371i | ||||
\(139\) | 2.84986 | + | 4.93611i | 0.241722 | + | 0.418675i | 0.961205 | − | 0.275835i | \(-0.0889543\pi\) |
−0.719483 | + | 0.694510i | \(0.755621\pi\) | |||||||
\(140\) | −1.60537 | − | 2.10304i | −0.135679 | − | 0.177739i | ||||
\(141\) | 6.19576 | + | 0.475555i | 0.521778 | + | 0.0400489i | ||||
\(142\) | 10.4573 | 0.877555 | ||||||||
\(143\) | 2.98019 | − | 5.16184i | 0.249216 | − | 0.431655i | ||||
\(144\) | 2.96486 | + | 0.457832i | 0.247072 | + | 0.0381526i | ||||
\(145\) | −2.77093 | − | 4.79939i | −0.230113 | − | 0.398568i | ||||
\(146\) | 0.343505 | − | 0.594968i | 0.0284287 | − | 0.0492399i | ||||
\(147\) | −7.84581 | − | 9.24355i | −0.647112 | − | 0.762395i | ||||
\(148\) | −3.85479 | − | 6.67670i | −0.316862 | − | 0.548821i | ||||
\(149\) | −8.48240 | + | 14.6920i | −0.694906 | + | 1.20361i | 0.275307 | + | 0.961356i | \(0.411221\pi\) |
−0.970213 | + | 0.242255i | \(0.922113\pi\) | |||||||
\(150\) | 0.748691 | + | 1.56188i | 0.0611304 | + | 0.127527i | ||||
\(151\) | −0.349942 | − | 0.606118i | −0.0284779 | − | 0.0493251i | 0.851435 | − | 0.524460i | \(-0.175733\pi\) |
−0.879913 | + | 0.475135i | \(0.842399\pi\) | |||||||
\(152\) | 0.704732 | + | 1.22063i | 0.0571613 | + | 0.0990062i | ||||
\(153\) | −8.17562 | + | 10.1763i | −0.660960 | + | 0.822708i | ||||
\(154\) | −15.2873 | + | 1.97372i | −1.23189 | + | 0.159047i | ||||
\(155\) | −1.91301 | + | 3.31343i | −0.153657 | + | 0.266141i | ||||
\(156\) | −0.765957 | − | 1.59790i | −0.0613257 | − | 0.127934i | ||||
\(157\) | −16.0589 | −1.28164 | −0.640820 | − | 0.767691i | \(-0.721405\pi\) | ||||
−0.640820 | + | 0.767691i | \(0.721405\pi\) | |||||||
\(158\) | −5.35025 | −0.425643 | ||||||||
\(159\) | −6.21491 | + | 9.08035i | −0.492875 | + | 0.720119i | ||||
\(160\) | −0.500000 | + | 0.866025i | −0.0395285 | + | 0.0684653i | ||||
\(161\) | −10.5999 | − | 13.8858i | −0.835388 | − | 1.09436i | ||||
\(162\) | −8.58078 | − | 2.71481i | −0.674170 | − | 0.213296i | ||||
\(163\) | −2.52702 | − | 4.37693i | −0.197932 | − | 0.342827i | 0.749926 | − | 0.661522i | \(-0.230089\pi\) |
−0.947858 | + | 0.318694i | \(0.896756\pi\) | |||||||
\(164\) | 5.46652 | + | 9.46829i | 0.426863 | + | 0.739349i | ||||
\(165\) | 10.0614 | + | 0.772259i | 0.783277 | + | 0.0601202i | ||||
\(166\) | 6.94521 | − | 12.0295i | 0.539053 | − | 0.933667i | ||||
\(167\) | −2.71733 | − | 4.70655i | −0.210273 | − | 0.364204i | 0.741527 | − | 0.670923i | \(-0.234102\pi\) |
−0.951800 | + | 0.306720i | \(0.900769\pi\) | |||||||
\(168\) | −2.08276 | + | 4.08193i | −0.160688 | + | 0.314927i | ||||
\(169\) | 5.97667 | − | 10.3519i | 0.459744 | − | 0.796300i | ||||
\(170\) | −2.17561 | − | 3.76827i | −0.166862 | − | 0.289013i | ||||
\(171\) | −1.53059 | − | 3.94165i | −0.117047 | − | 0.301425i | ||||
\(172\) | −0.340159 | + | 0.589173i | −0.0259369 | + | 0.0449240i | ||||
\(173\) | 6.77920 | 0.515413 | 0.257707 | − | 0.966223i | \(-0.417033\pi\) | ||||
0.257707 | + | 0.966223i | \(0.417033\pi\) | |||||||
\(174\) | −5.42149 | + | 7.92112i | −0.411002 | + | 0.600498i | ||||
\(175\) | −2.62397 | + | 0.338776i | −0.198354 | + | 0.0256091i | ||||
\(176\) | 2.91301 | + | 5.04548i | 0.219576 | + | 0.380318i | ||||
\(177\) | −14.7863 | − | 1.13492i | −1.11141 | − | 0.0853057i | ||||
\(178\) | 1.81945 | + | 3.15139i | 0.136374 | + | 0.236206i | ||||
\(179\) | 3.25481 | − | 5.63749i | 0.243276 | − | 0.421366i | −0.718370 | − | 0.695662i | \(-0.755111\pi\) |
0.961645 | + | 0.274296i | \(0.0884447\pi\) | |||||||
\(180\) | 1.87892 | − | 2.33873i | 0.140047 | − | 0.174318i | ||||
\(181\) | 0.658355 | 0.0489352 | 0.0244676 | − | 0.999701i | \(-0.492211\pi\) | ||||
0.0244676 | + | 0.999701i | \(0.492211\pi\) | |||||||
\(182\) | 2.68449 | − | 0.346589i | 0.198987 | − | 0.0256909i | ||||
\(183\) | 2.48259 | + | 0.190551i | 0.183519 | + | 0.0140859i | ||||
\(184\) | −3.30138 | + | 5.71815i | −0.243381 | + | 0.421548i | ||||
\(185\) | −7.70959 | −0.566820 | ||||||||
\(186\) | 6.60743 | + | 0.507152i | 0.484480 | + | 0.0371862i | ||||
\(187\) | −25.3503 | −1.85380 | ||||||||
\(188\) | 3.58765 | 0.261656 | ||||||||
\(189\) | 8.04392 | − | 11.1488i | 0.585109 | − | 0.810954i | ||||
\(190\) | 1.40946 | 0.102253 | ||||||||
\(191\) | −26.3284 | −1.90506 | −0.952529 | − | 0.304449i | \(-0.901528\pi\) | ||||
−0.952529 | + | 0.304449i | \(0.901528\pi\) | |||||||
\(192\) | 1.72697 | + | 0.132553i | 0.124633 | + | 0.00956621i | ||||
\(193\) | 1.94965 | 0.140339 | 0.0701695 | − | 0.997535i | \(-0.477646\pi\) | ||||
0.0701695 | + | 0.997535i | \(0.477646\pi\) | |||||||
\(194\) | −5.46600 | + | 9.46739i | −0.392436 | + | 0.679719i | ||||
\(195\) | −1.76680 | − | 0.135610i | −0.126523 | − | 0.00971125i | ||||
\(196\) | −4.92492 | − | 4.97445i | −0.351780 | − | 0.355318i | ||||
\(197\) | 12.1983 | 0.869095 | 0.434548 | − | 0.900649i | \(-0.356908\pi\) | ||||
0.434548 | + | 0.900649i | \(0.356908\pi\) | |||||||
\(198\) | −6.32669 | − | 16.2928i | −0.449618 | − | 1.15788i | ||||
\(199\) | −7.38959 | + | 12.7992i | −0.523834 | + | 0.907308i | 0.475781 | + | 0.879564i | \(0.342166\pi\) |
−0.999615 | + | 0.0277439i | \(0.991168\pi\) | |||||||
\(200\) | 0.500000 | + | 0.866025i | 0.0353553 | + | 0.0612372i | ||||
\(201\) | 24.0074 | + | 1.84268i | 1.69335 | + | 0.129973i | ||||
\(202\) | −3.93224 | − | 6.81084i | −0.276672 | − | 0.479209i | ||||
\(203\) | −8.89676 | − | 11.6547i | −0.624430 | − | 0.818003i | ||||
\(204\) | −4.25672 | + | 6.21931i | −0.298030 | + | 0.435439i | ||||
\(205\) | 10.9330 | 0.763596 | ||||||||
\(206\) | 1.72295 | − | 2.98424i | 0.120044 | − | 0.207922i | ||||
\(207\) | 12.4061 | − | 15.4420i | 0.862281 | − | 1.07330i | ||||
\(208\) | −0.511531 | − | 0.885998i | −0.0354683 | − | 0.0614329i | ||||
\(209\) | 4.10578 | − | 7.11142i | 0.284003 | − | 0.491907i | ||||
\(210\) | 2.49367 | + | 3.84469i | 0.172080 | + | 0.265308i | ||||
\(211\) | 3.23465 | + | 5.60257i | 0.222682 | + | 0.385697i | 0.955622 | − | 0.294597i | \(-0.0951854\pi\) |
−0.732939 | + | 0.680294i | \(0.761852\pi\) | |||||||
\(212\) | −3.17645 | + | 5.50177i | −0.218159 | + | 0.377863i | ||||
\(213\) | −18.0594 | − | 1.38615i | −1.23741 | − | 0.0949771i | ||||
\(214\) | 9.49393 | + | 16.4440i | 0.648992 | + | 1.12409i | ||||
\(215\) | 0.340159 | + | 0.589173i | 0.0231986 | + | 0.0401812i | ||||
\(216\) | −5.05954 | − | 1.18366i | −0.344258 | − | 0.0805381i | ||||
\(217\) | −3.89718 | + | 9.34244i | −0.264558 | + | 0.634206i | ||||
\(218\) | 5.82204 | − | 10.0841i | 0.394318 | − | 0.682980i | ||||
\(219\) | −0.672088 | + | 0.981959i | −0.0454155 | + | 0.0663547i | ||||
\(220\) | 5.82602 | 0.392790 | ||||||||
\(221\) | 4.45157 | 0.299445 | ||||||||
\(222\) | 5.77210 | + | 12.0414i | 0.387398 | + | 0.808168i | ||||
\(223\) | −10.4900 | + | 18.1692i | −0.702461 | + | 1.21670i | 0.265139 | + | 0.964210i | \(0.414582\pi\) |
−0.967600 | + | 0.252488i | \(0.918751\pi\) | |||||||
\(224\) | −1.01860 | + | 2.44181i | −0.0680579 | + | 0.163151i | ||||
\(225\) | −1.08594 | − | 2.79656i | −0.0723957 | − | 0.186437i | ||||
\(226\) | 8.66188 | + | 15.0028i | 0.576180 | + | 0.997973i | ||||
\(227\) | 6.66332 | + | 11.5412i | 0.442260 | + | 0.766017i | 0.997857 | − | 0.0654349i | \(-0.0208435\pi\) |
−0.555597 | + | 0.831452i | \(0.687510\pi\) | |||||||
\(228\) | −1.05525 | − | 2.20141i | −0.0698858 | − | 0.145792i | ||||
\(229\) | −1.56726 | + | 2.71458i | −0.103568 | + | 0.179385i | −0.913152 | − | 0.407619i | \(-0.866359\pi\) |
0.809584 | + | 0.587003i | \(0.199693\pi\) | |||||||
\(230\) | 3.30138 | + | 5.71815i | 0.217686 | + | 0.377044i | ||||
\(231\) | 26.6624 | − | 1.38217i | 1.75426 | − | 0.0909398i | ||||
\(232\) | −2.77093 | + | 4.79939i | −0.181921 | + | 0.315096i | ||||
\(233\) | 2.18283 | + | 3.78077i | 0.143002 | + | 0.247686i | 0.928626 | − | 0.371018i | \(-0.120991\pi\) |
−0.785624 | + | 0.618704i | \(0.787658\pi\) | |||||||
\(234\) | 1.11098 | + | 2.86105i | 0.0726270 | + | 0.187033i | ||||
\(235\) | 1.79382 | − | 3.10699i | 0.117016 | − | 0.202678i | ||||
\(236\) | −8.56197 | −0.557337 | ||||||||
\(237\) | 9.23972 | + | 0.709193i | 0.600184 | + | 0.0460670i | ||||
\(238\) | −6.98535 | − | 9.15080i | −0.452793 | − | 0.593158i | ||||
\(239\) | −6.38171 | − | 11.0535i | −0.412799 | − | 0.714988i | 0.582396 | − | 0.812905i | \(-0.302115\pi\) |
−0.995195 | + | 0.0979170i | \(0.968782\pi\) | |||||||
\(240\) | 0.978280 | − | 1.42932i | 0.0631477 | − | 0.0922625i | ||||
\(241\) | 1.11443 | + | 1.93025i | 0.0717866 | + | 0.124338i | 0.899684 | − | 0.436541i | \(-0.143797\pi\) |
−0.827898 | + | 0.560879i | \(0.810463\pi\) | |||||||
\(242\) | 11.4713 | − | 19.8688i | 0.737401 | − | 1.27722i | ||||
\(243\) | 14.4589 | + | 5.82581i | 0.927539 | + | 0.373726i | ||||
\(244\) | 1.43754 | 0.0920291 | ||||||||
\(245\) | −6.77046 | + | 1.77788i | −0.432549 | + | 0.113584i | ||||
\(246\) | −8.18547 | − | 17.0761i | −0.521886 | − | 1.08873i | ||||
\(247\) | −0.720984 | + | 1.24878i | −0.0458751 | + | 0.0794580i | ||||
\(248\) | 3.82602 | 0.242953 | ||||||||
\(249\) | −13.5887 | + | 19.8539i | −0.861150 | + | 1.25819i | ||||
\(250\) | 1.00000 | 0.0632456 | ||||||||
\(251\) | −11.5316 | −0.727866 | −0.363933 | − | 0.931425i | \(-0.618566\pi\) | ||||
−0.363933 | + | 0.931425i | \(0.618566\pi\) | |||||||
\(252\) | 4.13794 | − | 6.77329i | 0.260666 | − | 0.426677i | ||||
\(253\) | 38.4678 | 2.41845 | ||||||||
\(254\) | 14.9902 | 0.940567 | ||||||||
\(255\) | 3.25772 | + | 6.79608i | 0.204007 | + | 0.425587i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −0.824882 | + | 1.42874i | −0.0514547 | + | 0.0891222i | −0.890606 | − | 0.454777i | \(-0.849719\pi\) |
0.839151 | + | 0.543899i | \(0.183052\pi\) | |||||||
\(258\) | 0.665541 | − | 0.972395i | 0.0414348 | − | 0.0605387i | ||||
\(259\) | −20.2297 | + | 2.61182i | −1.25702 | + | 0.162291i | ||||
\(260\) | −1.02306 | −0.0634476 | ||||||||
\(261\) | 10.4127 | − | 12.9609i | 0.644532 | − | 0.802260i | ||||
\(262\) | 8.91663 | − | 15.4441i | 0.550871 | − | 0.954137i | ||||
\(263\) | −12.0516 | − | 20.8740i | −0.743133 | − | 1.28714i | −0.951062 | − | 0.309000i | \(-0.900006\pi\) |
0.207929 | − | 0.978144i | \(-0.433328\pi\) | |||||||
\(264\) | −4.36189 | − | 9.09953i | −0.268456 | − | 0.560038i | ||||
\(265\) | 3.17645 | + | 5.50177i | 0.195128 | + | 0.337971i | ||||
\(266\) | 3.69839 | − | 0.477492i | 0.226763 | − | 0.0292769i | ||||
\(267\) | −2.72442 | − | 5.68353i | −0.166732 | − | 0.347826i | ||||
\(268\) | 13.9015 | 0.849166 | ||||||||
\(269\) | 13.5646 | − | 23.4946i | 0.827048 | − | 1.43249i | −0.0732967 | − | 0.997310i | \(-0.523352\pi\) |
0.900344 | − | 0.435178i | \(-0.143315\pi\) | |||||||
\(270\) | −3.55485 | + | 3.78986i | −0.216341 | + | 0.230643i | ||||
\(271\) | 6.05548 | + | 10.4884i | 0.367844 | + | 0.637125i | 0.989228 | − | 0.146381i | \(-0.0467626\pi\) |
−0.621384 | + | 0.783506i | \(0.713429\pi\) | |||||||
\(272\) | −2.17561 | + | 3.76827i | −0.131916 | + | 0.228485i | ||||
\(273\) | −4.68197 | + | 0.242711i | −0.283366 | + | 0.0146896i | ||||
\(274\) | −3.36590 | − | 5.82991i | −0.203341 | − | 0.352198i | ||||
\(275\) | 2.91301 | − | 5.04548i | 0.175661 | − | 0.304254i | ||||
\(276\) | 6.45934 | − | 9.43747i | 0.388807 | − | 0.568069i | ||||
\(277\) | 4.20274 | + | 7.27936i | 0.252518 | + | 0.437375i | 0.964219 | − | 0.265109i | \(-0.0854079\pi\) |
−0.711700 | + | 0.702483i | \(0.752075\pi\) | |||||||
\(278\) | −2.84986 | − | 4.93611i | −0.170924 | − | 0.296048i | ||||
\(279\) | −11.3436 | − | 1.75167i | −0.679124 | − | 0.104870i | ||||
\(280\) | 1.60537 | + | 2.10304i | 0.0959395 | + | 0.125681i | ||||
\(281\) | 5.02907 | − | 8.71060i | 0.300009 | − | 0.519631i | −0.676129 | − | 0.736784i | \(-0.736344\pi\) |
0.976138 | + | 0.217153i | \(0.0696770\pi\) | |||||||
\(282\) | −6.19576 | − | 0.475555i | −0.368952 | − | 0.0283189i | ||||
\(283\) | −3.85272 | −0.229021 | −0.114510 | − | 0.993422i | \(-0.536530\pi\) | ||||
−0.114510 | + | 0.993422i | \(0.536530\pi\) | |||||||
\(284\) | −10.4573 | −0.620525 | ||||||||
\(285\) | −2.43410 | − | 0.186829i | −0.144184 | − | 0.0110668i | ||||
\(286\) | −2.98019 | + | 5.16184i | −0.176222 | + | 0.305226i | ||||
\(287\) | 28.6880 | − | 3.70385i | 1.69340 | − | 0.218631i | ||||
\(288\) | −2.96486 | − | 0.457832i | −0.174706 | − | 0.0269780i | ||||
\(289\) | −0.966581 | − | 1.67417i | −0.0568577 | − | 0.0984804i | ||||
\(290\) | 2.77093 | + | 4.79939i | 0.162715 | + | 0.281830i | ||||
\(291\) | 10.6946 | − | 15.6254i | 0.626926 | − | 0.915976i | ||||
\(292\) | −0.343505 | + | 0.594968i | −0.0201021 | + | 0.0348179i | ||||
\(293\) | 10.2567 | + | 17.7651i | 0.599202 | + | 1.03785i | 0.992939 | + | 0.118625i | \(0.0378487\pi\) |
−0.393737 | + | 0.919223i | \(0.628818\pi\) | |||||||
\(294\) | 7.84581 | + | 9.24355i | 0.457577 | + | 0.539095i | ||||
\(295\) | −4.28099 | + | 7.41489i | −0.249249 | + | 0.431711i | ||||
\(296\) | 3.85479 | + | 6.67670i | 0.224055 | + | 0.388075i | ||||
\(297\) | 8.76634 | + | 28.9758i | 0.508675 | + | 1.68135i | ||||
\(298\) | 8.48240 | − | 14.6920i | 0.491372 | − | 0.851082i | ||||
\(299\) | −6.75503 | −0.390653 | ||||||||
\(300\) | −0.748691 | − | 1.56188i | −0.0432257 | − | 0.0901750i | ||||
\(301\) | 1.09217 | + | 1.43073i | 0.0629513 | + | 0.0824662i | ||||
\(302\) | 0.349942 | + | 0.606118i | 0.0201369 | + | 0.0348781i | ||||
\(303\) | 5.88807 | + | 12.2834i | 0.338261 | + | 0.705661i | ||||
\(304\) | −0.704732 | − | 1.22063i | −0.0404191 | − | 0.0700080i | ||||
\(305\) | 0.718771 | − | 1.24495i | 0.0411567 | − | 0.0712855i | ||||
\(306\) | 8.17562 | − | 10.1763i | 0.467369 | − | 0.581742i | ||||
\(307\) | −12.4997 | −0.713395 | −0.356697 | − | 0.934220i | \(-0.616097\pi\) | ||||
−0.356697 | + | 0.934220i | \(0.616097\pi\) | |||||||
\(308\) | 15.2873 | − | 1.97372i | 0.871076 | − | 0.112463i | ||||
\(309\) | −3.37106 | + | 4.92532i | −0.191773 | + | 0.280191i | ||||
\(310\) | 1.91301 | − | 3.31343i | 0.108652 | − | 0.188190i | ||||
\(311\) | −8.85431 | −0.502082 | −0.251041 | − | 0.967976i | \(-0.580773\pi\) | ||||
−0.251041 | + | 0.967976i | \(0.580773\pi\) | |||||||
\(312\) | 0.765957 | + | 1.59790i | 0.0433638 | + | 0.0904631i | ||||
\(313\) | 16.1005 | 0.910053 | 0.455026 | − | 0.890478i | \(-0.349630\pi\) | ||||
0.455026 | + | 0.890478i | \(0.349630\pi\) | |||||||
\(314\) | 16.0589 | 0.906256 | ||||||||
\(315\) | −3.79687 | − | 6.97020i | −0.213930 | − | 0.392727i | ||||
\(316\) | 5.35025 | 0.300975 | ||||||||
\(317\) | 29.9648 | 1.68299 | 0.841495 | − | 0.540265i | \(-0.181676\pi\) | ||||
0.841495 | + | 0.540265i | \(0.181676\pi\) | |||||||
\(318\) | 6.21491 | − | 9.08035i | 0.348515 | − | 0.509201i | ||||
\(319\) | 32.2870 | 1.80773 | ||||||||
\(320\) | 0.500000 | − | 0.866025i | 0.0279508 | − | 0.0484123i | ||||
\(321\) | −14.2160 | − | 29.6567i | −0.793462 | − | 1.65528i | ||||
\(322\) | 10.5999 | + | 13.8858i | 0.590709 | + | 0.773828i | ||||
\(323\) | 6.13289 | 0.341243 | ||||||||
\(324\) | 8.58078 | + | 2.71481i | 0.476710 | + | 0.150823i | ||||
\(325\) | −0.511531 | + | 0.885998i | −0.0283746 | + | 0.0491463i | ||||
\(326\) | 2.52702 | + | 4.37693i | 0.139959 | + | 0.242416i | ||||
\(327\) | −11.3912 | + | 16.6432i | −0.629934 | + | 0.920370i | ||||
\(328\) | −5.46652 | − | 9.46829i | −0.301838 | − | 0.522799i | ||||
\(329\) | 3.65437 | − | 8.76037i | 0.201472 | − | 0.482975i | ||||
\(330\) | −10.0614 | − | 0.772259i | −0.553860 | − | 0.0425114i | ||||
\(331\) | 14.8295 | 0.815104 | 0.407552 | − | 0.913182i | \(-0.366383\pi\) | ||||
0.407552 | + | 0.913182i | \(0.366383\pi\) | |||||||
\(332\) | −6.94521 | + | 12.0295i | −0.381168 | + | 0.660202i | ||||
\(333\) | −8.37212 | − | 21.5603i | −0.458789 | − | 1.18150i | ||||
\(334\) | 2.71733 | + | 4.70655i | 0.148685 | + | 0.257531i | ||||
\(335\) | 6.95073 | − | 12.0390i | 0.379759 | − | 0.657761i | ||||
\(336\) | 2.08276 | − | 4.08193i | 0.113624 | − | 0.222687i | ||||
\(337\) | 3.36028 | + | 5.82017i | 0.183046 | + | 0.317045i | 0.942916 | − | 0.333030i | \(-0.108071\pi\) |
−0.759870 | + | 0.650075i | \(0.774738\pi\) | |||||||
\(338\) | −5.97667 | + | 10.3519i | −0.325088 | + | 0.563069i | ||||
\(339\) | −12.9701 | − | 27.0576i | −0.704442 | − | 1.46957i | ||||
\(340\) | 2.17561 | + | 3.76827i | 0.117989 | + | 0.204363i | ||||
\(341\) | −11.1452 | − | 19.3041i | −0.603549 | − | 1.04538i | ||||
\(342\) | 1.53059 | + | 3.94165i | 0.0827646 | + | 0.213140i | ||||
\(343\) | −17.1632 | + | 6.95877i | −0.926726 | + | 0.375738i | ||||
\(344\) | 0.340159 | − | 0.589173i | 0.0183401 | − | 0.0317661i | ||||
\(345\) | −4.94342 | − | 10.3127i | −0.266145 | − | 0.555217i | ||||
\(346\) | −6.77920 | −0.364452 | ||||||||
\(347\) | −28.5813 | −1.53432 | −0.767162 | − | 0.641453i | \(-0.778332\pi\) | ||||
−0.767162 | + | 0.641453i | \(0.778332\pi\) | |||||||
\(348\) | 5.42149 | − | 7.92112i | 0.290623 | − | 0.424616i | ||||
\(349\) | 9.49935 | − | 16.4534i | 0.508489 | − | 0.880728i | −0.491463 | − | 0.870898i | \(-0.663538\pi\) |
0.999952 | − | 0.00982963i | \(-0.00312892\pi\) | |||||||
\(350\) | 2.62397 | − | 0.338776i | 0.140257 | − | 0.0181083i | ||||
\(351\) | −1.53939 | − | 5.08822i | −0.0821665 | − | 0.271589i | ||||
\(352\) | −2.91301 | − | 5.04548i | −0.155264 | − | 0.268925i | ||||
\(353\) | −1.85105 | − | 3.20612i | −0.0985216 | − | 0.170644i | 0.812551 | − | 0.582890i | \(-0.198078\pi\) |
−0.911073 | + | 0.412245i | \(0.864745\pi\) | |||||||
\(354\) | 14.7863 | + | 1.13492i | 0.785882 | + | 0.0603202i | ||||
\(355\) | −5.22863 | + | 9.05626i | −0.277507 | + | 0.480656i | ||||
\(356\) | −1.81945 | − | 3.15139i | −0.0964309 | − | 0.167023i | ||||
\(357\) | 10.8505 | + | 16.7291i | 0.574271 | + | 0.885397i | ||||
\(358\) | −3.25481 | + | 5.63749i | −0.172022 | + | 0.297951i | ||||
\(359\) | 9.64730 | + | 16.7096i | 0.509165 | + | 0.881899i | 0.999944 | + | 0.0106151i | \(0.00337897\pi\) |
−0.490779 | + | 0.871284i | \(0.663288\pi\) | |||||||
\(360\) | −1.87892 | + | 2.33873i | −0.0990280 | + | 0.123262i | ||||
\(361\) | 8.50671 | − | 14.7340i | 0.447721 | − | 0.775476i | ||||
\(362\) | −0.658355 | −0.0346024 | ||||||||
\(363\) | −22.4442 | + | 32.7923i | −1.17802 | + | 1.72115i | ||||
\(364\) | −2.68449 | + | 0.346589i | −0.140705 | + | 0.0181662i | ||||
\(365\) | 0.343505 | + | 0.594968i | 0.0179799 | + | 0.0311420i | ||||
\(366\) | −2.48259 | − | 0.190551i | −0.129767 | − | 0.00996025i | ||||
\(367\) | −6.31895 | − | 10.9448i | −0.329847 | − | 0.571311i | 0.652634 | − | 0.757673i | \(-0.273664\pi\) |
−0.982481 | + | 0.186362i | \(0.940330\pi\) | |||||||
\(368\) | 3.30138 | − | 5.71815i | 0.172096 | − | 0.298079i | ||||
\(369\) | 11.8726 | + | 30.5749i | 0.618062 | + | 1.59166i | ||||
\(370\) | 7.70959 | 0.400802 | ||||||||
\(371\) | 10.1988 | + | 13.3604i | 0.529494 | + | 0.693637i | ||||
\(372\) | −6.60743 | − | 0.507152i | −0.342579 | − | 0.0262946i | ||||
\(373\) | 13.1929 | − | 22.8507i | 0.683100 | − | 1.18316i | −0.290930 | − | 0.956744i | \(-0.593965\pi\) |
0.974030 | − | 0.226420i | \(-0.0727021\pi\) | |||||||
\(374\) | 25.3503 | 1.31083 | ||||||||
\(375\) | −1.72697 | − | 0.132553i | −0.0891804 | − | 0.00684502i | ||||
\(376\) | −3.58765 | −0.185019 | ||||||||
\(377\) | −5.66967 | −0.292003 | ||||||||
\(378\) | −8.04392 | + | 11.1488i | −0.413735 | + | 0.573431i | ||||
\(379\) | −1.42816 | −0.0733594 | −0.0366797 | − | 0.999327i | \(-0.511678\pi\) | ||||
−0.0366797 | + | 0.999327i | \(0.511678\pi\) | |||||||
\(380\) | −1.40946 | −0.0723039 | ||||||||
\(381\) | −25.8876 | − | 1.98700i | −1.32626 | − | 0.101797i | ||||
\(382\) | 26.3284 | 1.34708 | ||||||||
\(383\) | −12.3309 | + | 21.3577i | −0.630078 | + | 1.09133i | 0.357457 | + | 0.933930i | \(0.383644\pi\) |
−0.987535 | + | 0.157398i | \(0.949690\pi\) | |||||||
\(384\) | −1.72697 | − | 0.132553i | −0.0881291 | − | 0.00676433i | ||||
\(385\) | 5.93437 | − | 14.2261i | 0.302444 | − | 0.725027i | ||||
\(386\) | −1.94965 | −0.0992346 | ||||||||
\(387\) | −1.27827 | + | 1.59108i | −0.0649779 | + | 0.0808790i | ||||
\(388\) | 5.46600 | − | 9.46739i | 0.277494 | − | 0.480634i | ||||
\(389\) | 2.86604 | + | 4.96412i | 0.145314 | + | 0.251691i | 0.929490 | − | 0.368847i | \(-0.120247\pi\) |
−0.784176 | + | 0.620538i | \(0.786914\pi\) | |||||||
\(390\) | 1.76680 | + | 0.135610i | 0.0894653 | + | 0.00686689i | ||||
\(391\) | 14.3650 | + | 24.8810i | 0.726471 | + | 1.25828i | ||||
\(392\) | 4.92492 | + | 4.97445i | 0.248746 | + | 0.251248i | ||||
\(393\) | −17.4459 | + | 25.4895i | −0.880030 | + | 1.28578i | ||||
\(394\) | −12.1983 | −0.614543 | ||||||||
\(395\) | 2.67512 | − | 4.63345i | 0.134600 | − | 0.233134i | ||||
\(396\) | 6.32669 | + | 16.2928i | 0.317928 | + | 0.818745i | ||||
\(397\) | −16.2946 | − | 28.2231i | −0.817804 | − | 1.41648i | −0.907297 | − | 0.420491i | \(-0.861858\pi\) |
0.0894925 | − | 0.995987i | \(-0.471475\pi\) | |||||||
\(398\) | 7.38959 | − | 12.7992i | 0.370407 | − | 0.641564i | ||||
\(399\) | −6.45031 | + | 0.334381i | −0.322919 | + | 0.0167400i | ||||
\(400\) | −0.500000 | − | 0.866025i | −0.0250000 | − | 0.0433013i | ||||
\(401\) | 13.8103 | − | 23.9201i | 0.689653 | − | 1.19451i | −0.282298 | − | 0.959327i | \(-0.591097\pi\) |
0.971950 | − | 0.235187i | \(-0.0755701\pi\) | |||||||
\(402\) | −24.0074 | − | 1.84268i | −1.19738 | − | 0.0919047i | ||||
\(403\) | 1.95713 | + | 3.38985i | 0.0974915 | + | 0.168860i | ||||
\(404\) | 3.93224 | + | 6.81084i | 0.195636 | + | 0.338852i | ||||
\(405\) | 6.64149 | − | 6.07377i | 0.330018 | − | 0.301808i | ||||
\(406\) | 8.89676 | + | 11.6547i | 0.441539 | + | 0.578415i | ||||
\(407\) | 22.4581 | − | 38.8986i | 1.11321 | − | 1.92813i | ||||
\(408\) | 4.25672 | − | 6.21931i | 0.210739 | − | 0.307902i | ||||
\(409\) | 20.5087 | 1.01409 | 0.507046 | − | 0.861919i | \(-0.330737\pi\) | ||||
0.507046 | + | 0.861919i | \(0.330737\pi\) | |||||||
\(410\) | −10.9330 | −0.539944 | ||||||||
\(411\) | 5.04004 | + | 10.5142i | 0.248607 | + | 0.518629i | ||||
\(412\) | −1.72295 | + | 2.98424i | −0.0848838 | + | 0.147023i | ||||
\(413\) | −8.72121 | + | 20.9068i | −0.429143 | + | 1.02875i | ||||
\(414\) | −12.4061 | + | 15.4420i | −0.609725 | + | 0.758935i | ||||
\(415\) | 6.94521 | + | 12.0295i | 0.340927 | + | 0.590503i | ||||
\(416\) | 0.511531 | + | 0.885998i | 0.0250799 | + | 0.0434396i | ||||
\(417\) | 4.26734 | + | 8.90228i | 0.208972 | + | 0.435946i | ||||
\(418\) | −4.10578 | + | 7.11142i | −0.200820 | + | 0.347831i | ||||
\(419\) | −13.3504 | − | 23.1236i | −0.652209 | − | 1.12966i | −0.982586 | − | 0.185810i | \(-0.940509\pi\) |
0.330376 | − | 0.943849i | \(-0.392824\pi\) | |||||||
\(420\) | −2.49367 | − | 3.84469i | −0.121679 | − | 0.187601i | ||||
\(421\) | 5.78804 | − | 10.0252i | 0.282092 | − | 0.488597i | −0.689808 | − | 0.723992i | \(-0.742305\pi\) |
0.971900 | + | 0.235395i | \(0.0756384\pi\) | |||||||
\(422\) | −3.23465 | − | 5.60257i | −0.157460 | − | 0.272729i | ||||
\(423\) | 10.6369 | + | 1.64254i | 0.517182 | + | 0.0798630i | ||||
\(424\) | 3.17645 | − | 5.50177i | 0.154262 | − | 0.267190i | ||||
\(425\) | 4.35123 | 0.211065 | ||||||||
\(426\) | 18.0594 | + | 1.38615i | 0.874981 | + | 0.0671590i | ||||
\(427\) | 1.46428 | − | 3.51021i | 0.0708613 | − | 0.169871i | ||||
\(428\) | −9.49393 | − | 16.4440i | −0.458907 | − | 0.794850i | ||||
\(429\) | 5.83092 | − | 8.51932i | 0.281520 | − | 0.411317i | ||||
\(430\) | −0.340159 | − | 0.589173i | −0.0164039 | − | 0.0284124i | ||||
\(431\) | −0.486659 | + | 0.842918i | −0.0234415 | + | 0.0406019i | −0.877508 | − | 0.479562i | \(-0.840796\pi\) |
0.854067 | + | 0.520164i | \(0.174129\pi\) | |||||||
\(432\) | 5.05954 | + | 1.18366i | 0.243427 | + | 0.0569491i | ||||
\(433\) | 22.4006 | 1.07650 | 0.538252 | − | 0.842784i | \(-0.319085\pi\) | ||||
0.538252 | + | 0.842784i | \(0.319085\pi\) | |||||||
\(434\) | 3.89718 | − | 9.34244i | 0.187070 | − | 0.448451i | ||||
\(435\) | −4.14914 | − | 8.65571i | −0.198936 | − | 0.415009i | ||||
\(436\) | −5.82204 | + | 10.0841i | −0.278825 | + | 0.482940i | ||||
\(437\) | −9.30634 | −0.445182 | ||||||||
\(438\) | 0.672088 | − | 0.981959i | 0.0321136 | − | 0.0469198i | ||||
\(439\) | −10.2877 | −0.491004 | −0.245502 | − | 0.969396i | \(-0.578953\pi\) | ||||
−0.245502 | + | 0.969396i | \(0.578953\pi\) | |||||||
\(440\) | −5.82602 | −0.277745 | ||||||||
\(441\) | −12.3242 | − | 17.0033i | −0.586868 | − | 0.809683i | ||||
\(442\) | −4.45157 | −0.211740 | ||||||||
\(443\) | 2.76392 | 0.131318 | 0.0656589 | − | 0.997842i | \(-0.479085\pi\) | ||||
0.0656589 | + | 0.997842i | \(0.479085\pi\) | |||||||
\(444\) | −5.77210 | − | 12.0414i | −0.273932 | − | 0.571461i | ||||
\(445\) | −3.63891 | −0.172501 | ||||||||
\(446\) | 10.4900 | − | 18.1692i | 0.496715 | − | 0.860335i | ||||
\(447\) | −16.5963 | + | 24.2482i | −0.784980 | + | 1.14690i | ||||
\(448\) | 1.01860 | − | 2.44181i | 0.0481242 | − | 0.115365i | ||||
\(449\) | −7.23588 | −0.341482 | −0.170741 | − | 0.985316i | \(-0.554616\pi\) | ||||
−0.170741 | + | 0.985316i | \(0.554616\pi\) | |||||||
\(450\) | 1.08594 | + | 2.79656i | 0.0511915 | + | 0.131831i | ||||
\(451\) | −31.8481 | + | 55.1624i | −1.49967 | + | 2.59750i | ||||
\(452\) | −8.66188 | − | 15.0028i | −0.407421 | − | 0.705673i | ||||
\(453\) | −0.523997 | − | 1.09313i | −0.0246195 | − | 0.0513599i | ||||
\(454\) | −6.66332 | − | 11.5412i | −0.312725 | − | 0.541656i | ||||
\(455\) | −1.04209 | + | 2.49813i | −0.0488539 | + | 0.117114i | ||||
\(456\) | 1.05525 | + | 2.20141i | 0.0494167 | + | 0.103090i | ||||
\(457\) | −16.9550 | −0.793119 | −0.396560 | − | 0.918009i | \(-0.629796\pi\) | ||||
−0.396560 | + | 0.918009i | \(0.629796\pi\) | |||||||
\(458\) | 1.56726 | − | 2.71458i | 0.0732334 | − | 0.126844i | ||||
\(459\) | −15.4680 | + | 16.4905i | −0.721983 | + | 0.769712i | ||||
\(460\) | −3.30138 | − | 5.71815i | −0.153927 | − | 0.266610i | ||||
\(461\) | −13.3292 | + | 23.0868i | −0.620801 | + | 1.07526i | 0.368536 | + | 0.929613i | \(0.379859\pi\) |
−0.989337 | + | 0.145645i | \(0.953474\pi\) | |||||||
\(462\) | −26.6624 | + | 1.38217i | −1.24045 | + | 0.0643042i | ||||
\(463\) | 10.2503 | + | 17.7540i | 0.476372 | + | 0.825100i | 0.999633 | − | 0.0270722i | \(-0.00861839\pi\) |
−0.523262 | + | 0.852172i | \(0.675285\pi\) | |||||||
\(464\) | 2.77093 | − | 4.79939i | 0.128637 | − | 0.222806i | ||||
\(465\) | −3.74292 | + | 5.46863i | −0.173574 | + | 0.253601i | ||||
\(466\) | −2.18283 | − | 3.78077i | −0.101118 | − | 0.175141i | ||||
\(467\) | 18.4234 | + | 31.9103i | 0.852533 | + | 1.47663i | 0.878915 | + | 0.476979i | \(0.158268\pi\) |
−0.0263814 | + | 0.999652i | \(0.508398\pi\) | |||||||
\(468\) | −1.11098 | − | 2.86105i | −0.0513551 | − | 0.132252i | ||||
\(469\) | 14.1600 | − | 33.9448i | 0.653847 | − | 1.56742i | ||||
\(470\) | −1.79382 | + | 3.10699i | −0.0827429 | + | 0.143315i | ||||
\(471\) | −27.7332 | − | 2.12866i | −1.27788 | − | 0.0980835i | ||||
\(472\) | 8.56197 | 0.394097 | ||||||||
\(473\) | −3.96355 | −0.182244 | ||||||||
\(474\) | −9.23972 | − | 0.709193i | −0.424394 | − | 0.0325743i | ||||
\(475\) | −0.704732 | + | 1.22063i | −0.0323353 | + | 0.0560064i | ||||
\(476\) | 6.98535 | + | 9.15080i | 0.320173 | + | 0.419426i | ||||
\(477\) | −11.9366 | + | 14.8577i | −0.546540 | + | 0.680287i | ||||
\(478\) | 6.38171 | + | 11.0535i | 0.291893 | + | 0.505573i | ||||
\(479\) | −6.28715 | − | 10.8897i | −0.287267 | − | 0.497562i | 0.685889 | − | 0.727706i | \(-0.259414\pi\) |
−0.973157 | + | 0.230144i | \(0.926080\pi\) | |||||||
\(480\) | −0.978280 | + | 1.42932i | −0.0446522 | + | 0.0652394i | ||||
\(481\) | −3.94369 | + | 6.83068i | −0.179817 | + | 0.311452i | ||||
\(482\) | −1.11443 | − | 1.93025i | −0.0507608 | − | 0.0879203i | ||||
\(483\) | −16.4651 | − | 25.3855i | −0.749188 | − | 1.15508i | ||||
\(484\) | −11.4713 | + | 19.8688i | −0.521421 | + | 0.903128i | ||||
\(485\) | −5.46600 | − | 9.46739i | −0.248198 | − | 0.429892i | ||||
\(486\) | −14.4589 | − | 5.82581i | −0.655869 | − | 0.264264i | ||||
\(487\) | −9.47787 | + | 16.4161i | −0.429483 | + | 0.743887i | −0.996827 | − | 0.0795942i | \(-0.974638\pi\) |
0.567344 | + | 0.823481i | \(0.307971\pi\) | |||||||
\(488\) | −1.43754 | −0.0650744 | ||||||||
\(489\) | −3.78392 | − | 7.89379i | −0.171115 | − | 0.356970i | ||||
\(490\) | 6.77046 | − | 1.77788i | 0.305858 | − | 0.0803163i | ||||
\(491\) | −2.38354 | − | 4.12842i | −0.107568 | − | 0.186313i | 0.807217 | − | 0.590255i | \(-0.200973\pi\) |
−0.914784 | + | 0.403942i | \(0.867640\pi\) | |||||||
\(492\) | 8.18547 | + | 17.0761i | 0.369029 | + | 0.769848i | ||||
\(493\) | 12.0569 | + | 20.8832i | 0.543017 | + | 0.940534i | ||||
\(494\) | 0.720984 | − | 1.24878i | 0.0324386 | − | 0.0561853i | ||||
\(495\) | 17.2733 | + | 2.66734i | 0.776379 | + | 0.119888i | ||||
\(496\) | −3.82602 | −0.171793 | ||||||||
\(497\) | −10.6517 | + | 25.5347i | −0.477796 | + | 1.14539i | ||||
\(498\) | 13.5887 | − | 19.8539i | 0.608925 | − | 0.889675i | ||||
\(499\) | 8.30616 | − | 14.3867i | 0.371835 | − | 0.644037i | −0.618013 | − | 0.786168i | \(-0.712062\pi\) |
0.989848 | + | 0.142131i | \(0.0453955\pi\) | |||||||
\(500\) | −1.00000 | −0.0447214 | ||||||||
\(501\) | −4.06888 | − | 8.48826i | −0.181784 | − | 0.379228i | ||||
\(502\) | 11.5316 | 0.514679 | ||||||||
\(503\) | −11.3485 | −0.506007 | −0.253003 | − | 0.967465i | \(-0.581418\pi\) | ||||
−0.253003 | + | 0.967465i | \(0.581418\pi\) | |||||||
\(504\) | −4.13794 | + | 6.77329i | −0.184318 | + | 0.301706i | ||||
\(505\) | 7.86448 | 0.349965 | ||||||||
\(506\) | −38.4678 | −1.71010 | ||||||||
\(507\) | 11.6937 | − | 17.0852i | 0.519336 | − | 0.758781i | ||||
\(508\) | −14.9902 | −0.665081 | ||||||||
\(509\) | −20.2856 | + | 35.1357i | −0.899145 | + | 1.55736i | −0.0705548 | + | 0.997508i | \(0.522477\pi\) |
−0.828590 | + | 0.559856i | \(0.810856\pi\) | |||||||
\(510\) | −3.25772 | − | 6.79608i | −0.144254 | − | 0.300936i | ||||
\(511\) | 1.10291 | + | 1.44481i | 0.0487898 | + | 0.0639145i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −2.12080 | − | 7.01000i | −0.0936356 | − | 0.309499i | ||||
\(514\) | 0.824882 | − | 1.42874i | 0.0363840 | − | 0.0630189i | ||||
\(515\) | 1.72295 | + | 2.98424i | 0.0759224 | + | 0.131501i | ||||
\(516\) | −0.665541 | + | 0.972395i | −0.0292988 | + | 0.0428073i | ||||
\(517\) | 10.4509 | + | 18.1014i | 0.459628 | + | 0.796099i | ||||
\(518\) | 20.2297 | − | 2.61182i | 0.888844 | − | 0.114757i | ||||
\(519\) | 11.7075 | + | 0.898606i | 0.513902 | + | 0.0394444i | ||||
\(520\) | 1.02306 | 0.0448642 | ||||||||
\(521\) | 10.5287 | − | 18.2362i | 0.461270 | − | 0.798943i | −0.537754 | − | 0.843102i | \(-0.680727\pi\) |
0.999025 | + | 0.0441581i | \(0.0140605\pi\) | |||||||
\(522\) | −10.4127 | + | 12.9609i | −0.455753 | + | 0.567283i | ||||
\(523\) | −18.9366 | − | 32.7991i | −0.828039 | − | 1.43421i | −0.899574 | − | 0.436768i | \(-0.856123\pi\) |
0.0715346 | − | 0.997438i | \(-0.477210\pi\) | |||||||
\(524\) | −8.91663 | + | 15.4441i | −0.389525 | + | 0.674677i | ||||
\(525\) | −4.57643 | + | 0.237240i | −0.199732 | + | 0.0103540i | ||||
\(526\) | 12.0516 | + | 20.8740i | 0.525474 | + | 0.910148i | ||||
\(527\) | 8.32394 | − | 14.4175i | 0.362597 | − | 0.628036i | ||||
\(528\) | 4.36189 | + | 9.09953i | 0.189827 | + | 0.396006i | ||||
\(529\) | −10.2982 | − | 17.8369i | −0.447746 | − | 0.775520i | ||||
\(530\) | −3.17645 | − | 5.50177i | −0.137976 | − | 0.238982i | ||||
\(531\) | −25.3851 | − | 3.91994i | −1.10162 | − | 0.170111i | ||||
\(532\) | −3.69839 | + | 0.477492i | −0.160346 | + | 0.0207019i | ||||
\(533\) | 5.59259 | − | 9.68665i | 0.242242 | − | 0.419575i | ||||
\(534\) | 2.72442 | + | 5.68353i | 0.117897 | + | 0.245950i | ||||
\(535\) | −18.9879 | −0.820917 | ||||||||
\(536\) | −13.9015 | −0.600451 | ||||||||
\(537\) | 6.36823 | − | 9.30435i | 0.274809 | − | 0.401512i | ||||
\(538\) | −13.5646 | + | 23.4946i | −0.584811 | + | 1.01292i | ||||
\(539\) | 10.7522 | − | 39.3392i | 0.463129 | − | 1.69446i | ||||
\(540\) | 3.55485 | − | 3.78986i | 0.152977 | − | 0.163090i | ||||
\(541\) | 7.55055 | + | 13.0779i | 0.324624 | + | 0.562265i | 0.981436 | − | 0.191789i | \(-0.0614290\pi\) |
−0.656812 | + | 0.754054i | \(0.728096\pi\) | |||||||
\(542\) | −6.05548 | − | 10.4884i | −0.260105 | − | 0.450515i | ||||
\(543\) | 1.13696 | + | 0.0872672i | 0.0487917 | + | 0.00374499i | ||||
\(544\) | 2.17561 | − | 3.76827i | 0.0932786 | − | 0.161563i | ||||
\(545\) | 5.82204 | + | 10.0841i | 0.249389 | + | 0.431954i | ||||
\(546\) | 4.68197 | − | 0.242711i | 0.200370 | − | 0.0103871i | ||||
\(547\) | 7.20802 | − | 12.4847i | 0.308193 | − | 0.533805i | −0.669774 | − | 0.742565i | \(-0.733609\pi\) |
0.977967 | + | 0.208759i | \(0.0669425\pi\) | |||||||
\(548\) | 3.36590 | + | 5.82991i | 0.143784 | + | 0.249041i | ||||
\(549\) | 4.26211 | + | 0.658152i | 0.181902 | + | 0.0280892i | ||||
\(550\) | −2.91301 | + | 5.04548i | −0.124211 | + | 0.215140i | ||||
\(551\) | −7.81105 | −0.332762 | ||||||||
\(552\) | −6.45934 | + | 9.43747i | −0.274928 | + | 0.401686i | ||||
\(553\) | 5.44975 | − | 13.0643i | 0.231747 | − | 0.555551i | ||||
\(554\) | −4.20274 | − | 7.27936i | −0.178557 | − | 0.309270i | ||||
\(555\) | −13.3142 | − | 1.02193i | −0.565158 | − | 0.0433786i | ||||
\(556\) | 2.84986 | + | 4.93611i | 0.120861 | + | 0.209338i | ||||
\(557\) | −5.40895 | + | 9.36858i | −0.229185 | + | 0.396960i | −0.957567 | − | 0.288212i | \(-0.906939\pi\) |
0.728382 | + | 0.685171i | \(0.240273\pi\) | |||||||
\(558\) | 11.3436 | + | 1.75167i | 0.480214 | + | 0.0741542i | ||||
\(559\) | 0.696007 | 0.0294380 | ||||||||
\(560\) | −1.60537 | − | 2.10304i | −0.0678395 | − | 0.0888696i | ||||
\(561\) | −43.7793 | − | 3.36027i | −1.84836 | − | 0.141871i | ||||
\(562\) | −5.02907 | + | 8.71060i | −0.212138 | + | 0.367434i | ||||
\(563\) | 17.5941 | 0.741501 | 0.370751 | − | 0.928732i | \(-0.379100\pi\) | ||||
0.370751 | + | 0.928732i | \(0.379100\pi\) | |||||||
\(564\) | 6.19576 | + | 0.475555i | 0.260889 | + | 0.0200245i | ||||
\(565\) | −17.3238 | −0.728816 | ||||||||
\(566\) | 3.85272 | 0.161942 | ||||||||
\(567\) | 15.3694 | − | 18.1874i | 0.645455 | − | 0.763798i | ||||
\(568\) | 10.4573 | 0.438777 | ||||||||
\(569\) | 34.2289 | 1.43495 | 0.717474 | − | 0.696585i | \(-0.245298\pi\) | ||||
0.717474 | + | 0.696585i | \(0.245298\pi\) | |||||||
\(570\) | 2.43410 | + | 0.186829i | 0.101953 | + | 0.00782541i | ||||
\(571\) | 36.2409 | 1.51663 | 0.758316 | − | 0.651887i | \(-0.226022\pi\) | ||||
0.758316 | + | 0.651887i | \(0.226022\pi\) | |||||||
\(572\) | 2.98019 | − | 5.16184i | 0.124608 | − | 0.215827i | ||||
\(573\) | −45.4684 | − | 3.48992i | −1.89947 | − | 0.145793i | ||||
\(574\) | −28.6880 | + | 3.70385i | −1.19741 | + | 0.154596i | ||||
\(575\) | −6.60275 | −0.275354 | ||||||||
\(576\) | 2.96486 | + | 0.457832i | 0.123536 | + | 0.0190763i | ||||
\(577\) | −19.6210 | + | 33.9846i | −0.816835 | + | 1.41480i | 0.0911681 | + | 0.995836i | \(0.470940\pi\) |
−0.908003 | + | 0.418964i | \(0.862393\pi\) | |||||||
\(578\) | 0.966581 | + | 1.67417i | 0.0402045 | + | 0.0696362i | ||||
\(579\) | 3.36699 | + | 0.258433i | 0.139927 | + | 0.0107401i | ||||
\(580\) | −2.77093 | − | 4.79939i | −0.115057 | − | 0.199284i | ||||
\(581\) | 22.2993 | + | 29.2121i | 0.925132 | + | 1.21192i | ||||
\(582\) | −10.6946 | + | 15.6254i | −0.443304 | + | 0.647693i | ||||
\(583\) | −37.0121 | −1.53289 | ||||||||
\(584\) | 0.343505 | − | 0.594968i | 0.0142143 | − | 0.0246199i | ||||
\(585\) | −3.03324 | − | 0.468390i | −0.125409 | − | 0.0193655i | ||||
\(586\) | −10.2567 | − | 17.7651i | −0.423700 | − | 0.733869i | ||||
\(587\) | 3.09277 | − | 5.35683i | 0.127652 | − | 0.221100i | −0.795114 | − | 0.606460i | \(-0.792589\pi\) |
0.922767 | + | 0.385359i | \(0.125923\pi\) | |||||||
\(588\) | −7.84581 | − | 9.24355i | −0.323556 | − | 0.381198i | ||||
\(589\) | 2.69632 | + | 4.67016i | 0.111100 | + | 0.192431i | ||||
\(590\) | 4.28099 | − | 7.41489i | 0.176245 | − | 0.305266i | ||||
\(591\) | 21.0662 | + | 1.61693i | 0.866546 | + | 0.0665116i | ||||
\(592\) | −3.85479 | − | 6.67670i | −0.158431 | − | 0.274411i | ||||
\(593\) | −7.85509 | − | 13.6054i | −0.322570 | − | 0.558707i | 0.658448 | − | 0.752626i | \(-0.271213\pi\) |
−0.981018 | + | 0.193919i | \(0.937880\pi\) | |||||||
\(594\) | −8.76634 | − | 28.9758i | −0.359687 | − | 1.18889i | ||||
\(595\) | 11.4175 | − | 1.47409i | 0.468072 | − | 0.0604318i | ||||
\(596\) | −8.48240 | + | 14.6920i | −0.347453 | + | 0.601806i | ||||
\(597\) | −14.4582 | + | 21.1243i | −0.591734 | + | 0.864558i | ||||
\(598\) | 6.75503 | 0.276234 | ||||||||
\(599\) | 18.0983 | 0.739475 | 0.369737 | − | 0.929136i | \(-0.379448\pi\) | ||||
0.369737 | + | 0.929136i | \(0.379448\pi\) | |||||||
\(600\) | 0.748691 | + | 1.56188i | 0.0305652 | + | 0.0637634i | ||||
\(601\) | 8.44466 | − | 14.6266i | 0.344465 | − | 0.596630i | −0.640792 | − | 0.767715i | \(-0.721394\pi\) |
0.985256 | + | 0.171084i | \(0.0547271\pi\) | |||||||
\(602\) | −1.09217 | − | 1.43073i | −0.0445133 | − | 0.0583124i | ||||
\(603\) | 41.2158 | + | 6.36452i | 1.67844 | + | 0.259183i | ||||
\(604\) | −0.349942 | − | 0.606118i | −0.0142389 | − | 0.0246626i | ||||
\(605\) | 11.4713 | + | 19.8688i | 0.466373 | + | 0.807782i | ||||
\(606\) | −5.88807 | − | 12.2834i | −0.239186 | − | 0.498977i | ||||
\(607\) | 19.0270 | − | 32.9558i | 0.772283 | − | 1.33763i | −0.164026 | − | 0.986456i | \(-0.552448\pi\) |
0.936309 | − | 0.351178i | \(-0.114219\pi\) | |||||||
\(608\) | 0.704732 | + | 1.22063i | 0.0285806 | + | 0.0495031i | ||||
\(609\) | −13.8196 | − | 21.3067i | −0.559998 | − | 0.863392i | ||||
\(610\) | −0.718771 | + | 1.24495i | −0.0291022 | + | 0.0504064i | ||||
\(611\) | −1.83519 | − | 3.17865i | −0.0742440 | − | 0.128594i | ||||
\(612\) | −8.17562 | + | 10.1763i | −0.330480 | + | 0.411354i | ||||
\(613\) | −1.64068 | + | 2.84174i | −0.0662665 | + | 0.114777i | −0.897255 | − | 0.441512i | \(-0.854442\pi\) |
0.830989 | + | 0.556289i | \(0.187775\pi\) | |||||||
\(614\) | 12.4997 | 0.504446 | ||||||||
\(615\) | 18.8810 | + | 1.44921i | 0.761357 | + | 0.0584378i | ||||
\(616\) | −15.2873 | + | 1.97372i | −0.615944 | + | 0.0795233i | ||||
\(617\) | 14.2783 | + | 24.7307i | 0.574821 | + | 0.995619i | 0.996061 | + | 0.0886700i | \(0.0282616\pi\) |
−0.421240 | + | 0.906949i | \(0.638405\pi\) | |||||||
\(618\) | 3.37106 | − | 4.92532i | 0.135604 | − | 0.198125i | ||||
\(619\) | 11.1760 | + | 19.3574i | 0.449202 | + | 0.778041i | 0.998334 | − | 0.0576943i | \(-0.0183749\pi\) |
−0.549132 | + | 0.835736i | \(0.685042\pi\) | |||||||
\(620\) | −1.91301 | + | 3.31343i | −0.0768284 | + | 0.133071i | ||||
\(621\) | 23.4718 | − | 25.0235i | 0.941891 | − | 1.00416i | ||||
\(622\) | 8.85431 | 0.355026 | ||||||||
\(623\) | −9.54839 | + | 1.23277i | −0.382548 | + | 0.0493901i | ||||
\(624\) | −0.765957 | − | 1.59790i | −0.0306628 | − | 0.0639671i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −16.1005 | −0.643504 | ||||||||
\(627\) | 8.03321 | − | 11.7370i | 0.320815 | − | 0.468730i | ||||
\(628\) | −16.0589 | −0.640820 | ||||||||
\(629\) | 33.5462 | 1.33757 | ||||||||
\(630\) | 3.79687 | + | 6.97020i | 0.151271 | + | 0.277700i | ||||
\(631\) | 15.2841 | 0.608449 | 0.304224 | − | 0.952600i | \(-0.401603\pi\) | ||||
0.304224 | + | 0.952600i | \(0.401603\pi\) | |||||||
\(632\) | −5.35025 | −0.212821 | ||||||||
\(633\) | 4.84350 | + | 10.1042i | 0.192512 | + | 0.401608i | ||||
\(634\) | −29.9648 | −1.19005 | ||||||||
\(635\) | −7.49508 | + | 12.9819i | −0.297433 | + | 0.515170i | ||||
\(636\) | −6.21491 | + | 9.08035i | −0.246437 | + | 0.360059i | ||||
\(637\) | −1.88811 | + | 6.90805i | −0.0748095 | + | 0.273707i | ||||
\(638\) | −32.2870 | −1.27825 | ||||||||
\(639\) | −31.0043 | − | 4.78767i | −1.22651 | − | 0.189397i | ||||
\(640\) | −0.500000 | + | 0.866025i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | −12.3144 | − | 21.3291i | −0.486389 | − | 0.842451i | 0.513489 | − | 0.858096i | \(-0.328353\pi\) |
−0.999878 | + | 0.0156459i | \(0.995020\pi\) | |||||||
\(642\) | 14.2160 | + | 29.6567i | 0.561063 | + | 1.17046i | ||||
\(643\) | 2.35267 | + | 4.07495i | 0.0927804 | + | 0.160700i | 0.908680 | − | 0.417493i | \(-0.137091\pi\) |
−0.815900 | + | 0.578193i | \(0.803758\pi\) | |||||||
\(644\) | −10.5999 | − | 13.8858i | −0.417694 | − | 0.547179i | ||||
\(645\) | 0.509348 | + | 1.06257i | 0.0200556 | + | 0.0418388i | ||||
\(646\) | −6.13289 | −0.241295 | ||||||||
\(647\) | −14.0604 | + | 24.3532i | −0.552769 | + | 0.957425i | 0.445304 | + | 0.895380i | \(0.353096\pi\) |
−0.998073 | + | 0.0620453i | \(0.980238\pi\) | |||||||
\(648\) | −8.58078 | − | 2.71481i | −0.337085 | − | 0.106648i | ||||
\(649\) | −24.9411 | − | 43.1993i | −0.979025 | − | 1.69572i | ||||
\(650\) | 0.511531 | − | 0.885998i | 0.0200639 | − | 0.0347517i | ||||
\(651\) | −7.96868 | + | 15.6175i | −0.312317 | + | 0.612099i | ||||
\(652\) | −2.52702 | − | 4.37693i | −0.0989658 | − | 0.171414i | ||||
\(653\) | 6.73216 | − | 11.6604i | 0.263450 | − | 0.456309i | −0.703706 | − | 0.710491i | \(-0.748473\pi\) |
0.967156 | + | 0.254182i | \(0.0818063\pi\) | |||||||
\(654\) | 11.3912 | − | 16.6432i | 0.445430 | − | 0.650800i | ||||
\(655\) | 8.91663 | + | 15.4441i | 0.348402 | + | 0.603449i | ||||
\(656\) | 5.46652 | + | 9.46829i | 0.213432 | + | 0.369675i | ||||
\(657\) | −1.29084 | + | 1.60673i | −0.0503604 | + | 0.0626844i | ||||
\(658\) | −3.65437 | + | 8.76037i | −0.142462 | + | 0.341515i | ||||
\(659\) | 20.7279 | − | 35.9017i | 0.807443 | − | 1.39853i | −0.107186 | − | 0.994239i | \(-0.534184\pi\) |
0.914629 | − | 0.404294i | \(-0.132483\pi\) | |||||||
\(660\) | 10.0614 | + | 0.772259i | 0.391638 | + | 0.0300601i | ||||
\(661\) | 38.7067 | 1.50551 | 0.752757 | − | 0.658298i | \(-0.228723\pi\) | ||||
0.752757 | + | 0.658298i | \(0.228723\pi\) | |||||||
\(662\) | −14.8295 | −0.576365 | ||||||||
\(663\) | 7.68774 | + | 0.590071i | 0.298567 | + | 0.0229165i | ||||
\(664\) | 6.94521 | − | 12.0295i | 0.269526 | − | 0.466833i | ||||
\(665\) | −1.43568 | + | 3.44165i | −0.0556731 | + | 0.133461i | ||||
\(666\) | 8.37212 | + | 21.5603i | 0.324413 | + | 0.835445i | ||||
\(667\) | −18.2958 | − | 31.6892i | −0.708415 | − | 1.22701i | ||||
\(668\) | −2.71733 | − | 4.70655i | −0.105137 | − | 0.182102i | ||||
\(669\) | −20.5243 | + | 29.9872i | −0.793514 | + | 1.15937i | ||||
\(670\) | −6.95073 | + | 12.0390i | −0.268530 | + | 0.465108i | ||||
\(671\) | 4.18757 | + | 7.25309i | 0.161659 | + | 0.280002i | ||||
\(672\) | −2.08276 | + | 4.08193i | −0.0803442 | + | 0.157464i | ||||
\(673\) | −20.7404 | + | 35.9234i | −0.799482 | + | 1.38474i | 0.120471 | + | 0.992717i | \(0.461559\pi\) |
−0.919954 | + | 0.392027i | \(0.871774\pi\) | |||||||
\(674\) | −3.36028 | − | 5.82017i | −0.129433 | − | 0.224184i | ||||
\(675\) | −1.50469 | − | 4.97352i | −0.0579154 | − | 0.191431i | ||||
\(676\) | 5.97667 | − | 10.3519i | 0.229872 | − | 0.398150i | ||||
\(677\) | 17.9170 | 0.688605 | 0.344303 | − | 0.938859i | \(-0.388115\pi\) | ||||
0.344303 | + | 0.938859i | \(0.388115\pi\) | |||||||
\(678\) | 12.9701 | + | 27.0576i | 0.498115 | + | 1.03914i | ||||
\(679\) | −17.5500 | − | 22.9904i | −0.673506 | − | 0.882292i | ||||
\(680\) | −2.17561 | − | 3.76827i | −0.0834309 | − | 0.144507i | ||||
\(681\) | 9.97754 | + | 20.8146i | 0.382340 | + | 0.797617i | ||||
\(682\) | 11.1452 | + | 19.3041i | 0.426773 | + | 0.739193i | ||||
\(683\) | 9.20678 | − | 15.9466i | 0.352288 | − | 0.610180i | −0.634362 | − | 0.773036i | \(-0.718737\pi\) |
0.986650 | + | 0.162856i | \(0.0520705\pi\) | |||||||
\(684\) | −1.53059 | − | 3.94165i | −0.0585234 | − | 0.150713i | ||||
\(685\) | 6.73180 | 0.257209 | ||||||||
\(686\) | 17.1632 | − | 6.95877i | 0.655294 | − | 0.265687i | ||||
\(687\) | −3.06645 | + | 4.48026i | −0.116992 | + | 0.170932i | ||||
\(688\) | −0.340159 | + | 0.589173i | −0.0129684 | + | 0.0224620i | ||||
\(689\) | 6.49941 | 0.247608 | ||||||||
\(690\) | 4.94342 | + | 10.3127i | 0.188193 | + | 0.392597i | ||||
\(691\) | 18.9163 | 0.719611 | 0.359806 | − | 0.933027i | \(-0.382843\pi\) | ||||
0.359806 | + | 0.933027i | \(0.382843\pi\) | |||||||
\(692\) | 6.77920 | 0.257707 | ||||||||
\(693\) | 46.2284 | + | 1.14723i | 1.75607 | + | 0.0435795i | ||||
\(694\) | 28.5813 | 1.08493 | ||||||||
\(695\) | 5.69973 | 0.216203 | ||||||||
\(696\) | −5.42149 | + | 7.92112i | −0.205501 | + | 0.300249i | ||||
\(697\) | −47.5721 | −1.80192 | ||||||||
\(698\) | −9.49935 | + | 16.4534i | −0.359556 | + | 0.622769i | ||||
\(699\) | 3.26853 | + | 6.81862i | 0.123627 | + | 0.257904i | ||||
\(700\) | −2.62397 | + | 0.338776i | −0.0991768 | + | 0.0128045i | ||||
\(701\) | 22.1110 | 0.835120 | 0.417560 | − | 0.908649i | \(-0.362885\pi\) | ||||
0.417560 | + | 0.908649i | \(0.362885\pi\) | |||||||
\(702\) | 1.53939 | + | 5.08822i | 0.0581005 | + | 0.192043i | ||||
\(703\) | −5.43319 | + | 9.41056i | −0.204917 | + | 0.354926i | ||||
\(704\) | 2.91301 | + | 5.04548i | 0.109788 | + | 0.190159i | ||||
\(705\) | 3.50972 | − | 5.12791i | 0.132184 | − | 0.193128i | ||||
\(706\) | 1.85105 | + | 3.20612i | 0.0696653 | + | 0.120664i | ||||
\(707\) | 20.6362 | − | 2.66430i | 0.776104 | − | 0.100201i | ||||
\(708\) | −14.7863 | − | 1.13492i | −0.555703 | − | 0.0426528i | ||||
\(709\) | 26.0880 | 0.979757 | 0.489878 | − | 0.871791i | \(-0.337041\pi\) | ||||
0.489878 | + | 0.871791i | \(0.337041\pi\) | |||||||
\(710\) | 5.22863 | − | 9.05626i | 0.196227 | − | 0.339875i | ||||
\(711\) | 15.8627 | + | 2.44951i | 0.594899 | + | 0.0918638i | ||||
\(712\) | 1.81945 | + | 3.15139i | 0.0681869 | + | 0.118103i | ||||
\(713\) | −12.6311 | + | 21.8778i | −0.473040 | + | 0.819329i | ||||
\(714\) | −10.8505 | − | 16.7291i | −0.406071 | − | 0.626070i | ||||
\(715\) | −2.98019 | − | 5.16184i | −0.111453 | − | 0.193042i | ||||
\(716\) | 3.25481 | − | 5.63749i | 0.121638 | − | 0.210683i | ||||
\(717\) | −9.55586 | − | 19.9349i | −0.356870 | − | 0.744483i | ||||
\(718\) | −9.64730 | − | 16.7096i | −0.360034 | − | 0.623597i | ||||
\(719\) | −22.4710 | − | 38.9208i | −0.838025 | − | 1.45150i | −0.891543 | − | 0.452935i | \(-0.850377\pi\) |
0.0535184 | − | 0.998567i | \(-0.482956\pi\) | |||||||
\(720\) | 1.87892 | − | 2.33873i | 0.0700233 | − | 0.0871592i | ||||
\(721\) | 5.53197 | + | 7.24687i | 0.206021 | + | 0.269888i | ||||
\(722\) | −8.50671 | + | 14.7340i | −0.316587 | + | 0.548345i | ||||
\(723\) | 1.66872 | + | 3.48120i | 0.0620605 | + | 0.129467i | ||||
\(724\) | 0.658355 | 0.0244676 | ||||||||
\(725\) | −5.54186 | −0.205820 | ||||||||
\(726\) | 22.4442 | − | 32.7923i | 0.832983 | − | 1.21704i | ||||
\(727\) | 18.3077 | − | 31.7099i | 0.678996 | − | 1.17606i | −0.296287 | − | 0.955099i | \(-0.595749\pi\) |
0.975283 | − | 0.220957i | \(-0.0709181\pi\) | |||||||
\(728\) | 2.68449 | − | 0.346589i | 0.0994937 | − | 0.0128454i | ||||
\(729\) | 24.1979 | + | 11.9776i | 0.896218 | + | 0.443614i | ||||
\(730\) | −0.343505 | − | 0.594968i | −0.0127137 | − | 0.0220207i | ||||
\(731\) | −1.48011 | − | 2.56362i | −0.0547438 | − | 0.0948190i | ||||
\(732\) | 2.48259 | + | 0.190551i | 0.0917593 | + | 0.00704296i | ||||
\(733\) | 8.00977 | − | 13.8733i | 0.295848 | − | 0.512423i | −0.679334 | − | 0.733829i | \(-0.737731\pi\) |
0.975182 | + | 0.221406i | \(0.0710646\pi\) | |||||||
\(734\) | 6.31895 | + | 10.9448i | 0.233237 | + | 0.403978i | ||||
\(735\) | −11.9281 | + | 2.17290i | −0.439973 | + | 0.0801485i | ||||
\(736\) | −3.30138 | + | 5.71815i | −0.121690 | + | 0.210774i | ||||
\(737\) | 40.4951 | + | 70.1395i | 1.49166 | + | 2.58362i | ||||
\(738\) | −11.8726 | − | 30.5749i | −0.437036 | − | 1.12548i | ||||
\(739\) | 12.3189 | − | 21.3369i | 0.453158 | − | 0.784892i | −0.545423 | − | 0.838161i | \(-0.683631\pi\) |
0.998580 | + | 0.0532692i | \(0.0169641\pi\) | |||||||
\(740\) | −7.70959 | −0.283410 | ||||||||
\(741\) | −1.41065 | + | 2.06104i | −0.0518215 | + | 0.0757142i | ||||
\(742\) | −10.1988 | − | 13.3604i | −0.374409 | − | 0.490475i | ||||
\(743\) | 2.42125 | + | 4.19374i | 0.0888272 | + | 0.153853i | 0.907016 | − | 0.421097i | \(-0.138355\pi\) |
−0.818188 | + | 0.574950i | \(0.805021\pi\) | |||||||
\(744\) | 6.60743 | + | 0.507152i | 0.242240 | + | 0.0185931i | ||||
\(745\) | 8.48240 | + | 14.6920i | 0.310771 | + | 0.538272i | ||||
\(746\) | −13.1929 | + | 22.8507i | −0.483025 | + | 0.836624i | ||||
\(747\) | −26.0990 | + | 32.4859i | −0.954914 | + | 1.18860i | ||||
\(748\) | −25.3503 | −0.926900 | ||||||||
\(749\) | −49.8236 | + | 6.43263i | −1.82052 | + | 0.235043i | ||||
\(750\) | 1.72697 | + | 0.132553i | 0.0630601 | + | 0.00484016i | ||||
\(751\) | 13.7116 | − | 23.7492i | 0.500344 | − | 0.866621i | −0.499656 | − | 0.866224i | \(-0.666540\pi\) |
1.00000 | 0.000397064i | \(-0.000126389\pi\) | ||||||||
\(752\) | 3.58765 | 0.130828 | ||||||||
\(753\) | −19.9147 | − | 1.52855i | −0.725732 | − | 0.0557034i | ||||
\(754\) | 5.66967 | 0.206477 | ||||||||
\(755\) | −0.699884 | −0.0254714 | ||||||||
\(756\) | 8.04392 | − | 11.1488i | 0.292555 | − | 0.405477i | ||||
\(757\) | 26.1378 | 0.949996 | 0.474998 | − | 0.879987i | \(-0.342449\pi\) | ||||
0.474998 | + | 0.879987i | \(0.342449\pi\) | |||||||
\(758\) | 1.42816 | 0.0518729 | ||||||||
\(759\) | 66.4327 | + | 5.09903i | 2.41136 | + | 0.185083i | ||||
\(760\) | 1.40946 | 0.0511266 | ||||||||
\(761\) | −21.8943 | + | 37.9220i | −0.793668 | + | 1.37467i | 0.130014 | + | 0.991512i | \(0.458498\pi\) |
−0.923682 | + | 0.383161i | \(0.874835\pi\) | |||||||
\(762\) | 25.8876 | + | 1.98700i | 0.937808 | + | 0.0719813i | ||||
\(763\) | 18.6931 | + | 24.4880i | 0.676736 | + | 0.886524i | ||||
\(764\) | −26.3284 | −0.952529 | ||||||||
\(765\) | 4.72515 | + | 12.1685i | 0.170838 | + | 0.439952i | ||||
\(766\) | 12.3309 | − | 21.3577i | 0.445532 | − | 0.771685i | ||||
\(767\) | 4.37972 | + | 7.58589i | 0.158142 | + | 0.273911i | ||||
\(768\) | 1.72697 | + | 0.132553i | 0.0623167 | + | 0.00478311i | ||||
\(769\) | −15.7683 | − | 27.3116i | −0.568621 | − | 0.984881i | −0.996703 | − | 0.0811407i | \(-0.974144\pi\) |
0.428081 | − | 0.903740i | \(-0.359190\pi\) | |||||||
\(770\) | −5.93437 | + | 14.2261i | −0.213860 | + | 0.512672i | ||||
\(771\) | −1.61393 | + | 2.35805i | −0.0581243 | + | 0.0849230i | ||||
\(772\) | 1.94965 | 0.0701695 | ||||||||
\(773\) | 16.6378 | − | 28.8174i | 0.598418 | − | 1.03649i | −0.394636 | − | 0.918837i | \(-0.629129\pi\) |
0.993055 | − | 0.117654i | \(-0.0375372\pi\) | |||||||
\(774\) | 1.27827 | − | 1.59108i | 0.0459463 | − | 0.0571901i | ||||
\(775\) | 1.91301 | + | 3.31343i | 0.0687174 | + | 0.119022i | ||||
\(776\) | −5.46600 | + | 9.46739i | −0.196218 | + | 0.339860i | ||||
\(777\) | −35.2824 | + | 1.82902i | −1.26575 | + | 0.0656158i | ||||
\(778\) | −2.86604 | − | 4.96412i | −0.102752 | − | 0.177972i | ||||
\(779\) | 7.70486 | − | 13.3452i | 0.276055 | − | 0.478141i | ||||
\(780\) | −1.76680 | − | 0.135610i | −0.0632615 | − | 0.00485563i | ||||
\(781\) | −30.4621 | − | 52.7620i | −1.09002 | − | 1.88797i | ||||
\(782\) | −14.3650 | − | 24.8810i | −0.513692 | − | 0.889741i | ||||
\(783\) | 19.7005 | − | 21.0029i | 0.704038 | − | 0.750581i | ||||
\(784\) | −4.92492 | − | 4.97445i | −0.175890 | − | 0.177659i | ||||
\(785\) | −8.02945 | + | 13.9074i | −0.286583 | + | 0.496377i | ||||
\(786\) | 17.4459 | − | 25.4895i | 0.622276 | − | 0.909181i | ||||
\(787\) | −27.2886 | −0.972733 | −0.486367 | − | 0.873755i | \(-0.661678\pi\) | ||||
−0.486367 | + | 0.873755i | \(0.661678\pi\) | |||||||
\(788\) | 12.1983 | 0.434548 | ||||||||
\(789\) | −18.0458 | − | 37.6462i | −0.642449 | − | 1.34024i | ||||
\(790\) | −2.67512 | + | 4.63345i | −0.0951766 | + | 0.164851i | ||||
\(791\) | −45.4571 | + | 5.86887i | −1.61627 | + | 0.208673i | ||||
\(792\) | −6.32669 | − | 16.2928i | −0.224809 | − | 0.578940i | ||||
\(793\) | −0.735347 | − | 1.27366i | −0.0261129 | − | 0.0452289i | ||||
\(794\) | 16.2946 | + | 28.2231i | 0.578275 | + | 1.00160i | ||||
\(795\) | 4.75636 | + | 9.92245i | 0.168691 | + | 0.351913i | ||||
\(796\) | −7.38959 | + | 12.7992i | −0.261917 | + | 0.453654i | ||||
\(797\) | −25.0977 | − | 43.4705i | −0.889006 | − | 1.53980i | −0.841052 | − | 0.540954i | \(-0.818063\pi\) |
−0.0479541 | − | 0.998850i | \(-0.515270\pi\) | |||||||
\(798\) | 6.45031 | − | 0.334381i | 0.228339 | − | 0.0118370i | ||||
\(799\) | −7.80533 | + | 13.5192i | −0.276133 | + | 0.478276i | ||||
\(800\) | 0.500000 | + | 0.866025i | 0.0176777 | + | 0.0306186i | ||||
\(801\) | −3.95162 | − | 10.1764i | −0.139624 | − | 0.359566i | ||||
\(802\) | −13.8103 | + | 23.9201i | −0.487658 | + | 0.844649i | ||||
\(803\) | −4.00253 | −0.141246 | ||||||||
\(804\) | 24.0074 | + | 1.84268i | 0.846676 | + | 0.0649864i | ||||
\(805\) | −17.3254 | + | 2.23685i | −0.610641 | + | 0.0788387i | ||||
\(806\) | −1.95713 | − | 3.38985i | −0.0689369 | − | 0.119402i | ||||
\(807\) | 26.5399 | − | 38.7764i | 0.934250 | − | 1.36499i | ||||
\(808\) | −3.93224 | − | 6.81084i | −0.138336 | − | 0.239605i | ||||
\(809\) | −8.05657 | + | 13.9544i | −0.283254 | + | 0.490610i | −0.972184 | − | 0.234218i | \(-0.924747\pi\) |
0.688930 | + | 0.724827i | \(0.258081\pi\) | |||||||
\(810\) | −6.64149 | + | 6.07377i | −0.233358 | + | 0.213410i | ||||
\(811\) | −0.973184 | −0.0341731 | −0.0170866 | − | 0.999854i | \(-0.505439\pi\) | ||||
−0.0170866 | + | 0.999854i | \(0.505439\pi\) | |||||||
\(812\) | −8.89676 | − | 11.6547i | −0.312215 | − | 0.409002i | ||||
\(813\) | 9.06737 | + | 18.9158i | 0.318007 | + | 0.663408i | ||||
\(814\) | −22.4581 | + | 38.8986i | −0.787156 | + | 1.36339i | ||||
\(815\) | −5.05404 | −0.177035 | ||||||||
\(816\) | −4.25672 | + | 6.21931i | −0.149015 | + | 0.217719i | ||||
\(817\) | 0.958883 | 0.0335471 | ||||||||
\(818\) | −20.5087 | −0.717072 | ||||||||
\(819\) | −8.11780 | − | 0.201456i | −0.283659 | − | 0.00703943i | ||||
\(820\) | 10.9330 | 0.381798 | ||||||||
\(821\) | −25.7714 | −0.899427 | −0.449714 | − | 0.893173i | \(-0.648474\pi\) | ||||
−0.449714 | + | 0.893173i | \(0.648474\pi\) | |||||||
\(822\) | −5.04004 | − | 10.5142i | −0.175791 | − | 0.366726i | ||||
\(823\) | −26.4275 | −0.921204 | −0.460602 | − | 0.887607i | \(-0.652367\pi\) | ||||
−0.460602 | + | 0.887607i | \(0.652367\pi\) | |||||||
\(824\) | 1.72295 | − | 2.98424i | 0.0600219 | − | 0.103961i | ||||
\(825\) | 5.69948 | − | 8.32727i | 0.198430 | − | 0.289918i | ||||
\(826\) | 8.72121 | − | 20.9068i | 0.303450 | − | 0.727439i | ||||
\(827\) | −47.8905 | −1.66531 | −0.832657 | − | 0.553789i | \(-0.813182\pi\) | ||||
−0.832657 | + | 0.553789i | \(0.813182\pi\) | |||||||
\(828\) | 12.4061 | − | 15.4420i | 0.431141 | − | 0.536648i | ||||
\(829\) | −5.63061 | + | 9.75251i | −0.195559 | + | 0.338719i | −0.947084 | − | 0.320987i | \(-0.895986\pi\) |
0.751524 | + | 0.659705i | \(0.229319\pi\) | |||||||
\(830\) | −6.94521 | − | 12.0295i | −0.241072 | − | 0.417548i | ||||
\(831\) | 6.29311 | + | 13.1283i | 0.218306 | + | 0.455417i | ||||
\(832\) | −0.511531 | − | 0.885998i | −0.0177341 | − | 0.0307164i | ||||
\(833\) | 29.4598 | − | 7.73595i | 1.02072 | − | 0.268035i | ||||
\(834\) | −4.26734 | − | 8.90228i | −0.147766 | − | 0.308261i | ||||
\(835\) | −5.43465 | −0.188074 | ||||||||
\(836\) | 4.10578 | − | 7.11142i | 0.142001 | − | 0.245954i | ||||
\(837\) | −19.3579 | − | 4.52872i | −0.669107 | − | 0.156536i | ||||
\(838\) | 13.3504 | + | 23.1236i | 0.461182 | + | 0.798790i | ||||
\(839\) | 6.94107 | − | 12.0223i | 0.239632 | − | 0.415055i | −0.720977 | − | 0.692959i | \(-0.756306\pi\) |
0.960609 | + | 0.277904i | \(0.0896398\pi\) | |||||||
\(840\) | 2.49367 | + | 3.84469i | 0.0860398 | + | 0.132654i | ||||
\(841\) | −0.856114 | − | 1.48283i | −0.0295212 | − | 0.0511322i | ||||
\(842\) | −5.78804 | + | 10.0252i | −0.199469 | + | 0.345490i | ||||
\(843\) | 9.83967 | − | 14.3763i | 0.338896 | − | 0.495147i | ||||
\(844\) | 3.23465 | + | 5.60257i | 0.111341 | + | 0.192849i | ||||
\(845\) | −5.97667 | − | 10.3519i | −0.205604 | − | 0.356116i | ||||
\(846\) | −10.6369 | − | 1.64254i | −0.365703 | − | 0.0564716i | ||||
\(847\) | 36.8314 | + | 48.2490i | 1.26554 | + | 1.65786i | ||||
\(848\) | −3.17645 | + | 5.50177i | −0.109080 | + | 0.188932i | ||||
\(849\) | −6.65354 | − | 0.510691i | −0.228349 | − | 0.0175269i | ||||
\(850\) | −4.35123 | −0.149246 | ||||||||
\(851\) | −50.9045 | −1.74498 | ||||||||
\(852\) | −18.0594 | − | 1.38615i | −0.618705 | − | 0.0474886i | ||||
\(853\) | 27.2825 | − | 47.2546i | 0.934134 | − | 1.61797i | 0.157964 | − | 0.987445i | \(-0.449507\pi\) |
0.776170 | − | 0.630523i | \(-0.217160\pi\) | |||||||
\(854\) | −1.46428 | + | 3.51021i | −0.0501065 | + | 0.120117i | ||||
\(855\) | −4.17886 | − | 0.645297i | −0.142914 | − | 0.0220687i | ||||
\(856\) | 9.49393 | + | 16.4440i | 0.324496 | + | 0.562044i | ||||
\(857\) | 11.3133 | + | 19.5953i | 0.386456 | + | 0.669361i | 0.991970 | − | 0.126473i | \(-0.0403658\pi\) |
−0.605514 | + | 0.795835i | \(0.707033\pi\) | |||||||
\(858\) | −5.83092 | + | 8.51932i | −0.199064 | + | 0.290845i | ||||
\(859\) | 22.2546 | − | 38.5462i | 0.759319 | − | 1.31518i | −0.183880 | − | 0.982949i | \(-0.558866\pi\) |
0.943199 | − | 0.332230i | \(-0.107801\pi\) | |||||||
\(860\) | 0.340159 | + | 0.589173i | 0.0115993 | + | 0.0200906i | ||||
\(861\) | 50.0343 | − | 2.59375i | 1.70516 | − | 0.0883949i | ||||
\(862\) | 0.486659 | − | 0.842918i | 0.0165757 | − | 0.0287099i | ||||
\(863\) | 15.6344 | + | 27.0795i | 0.532200 | + | 0.921797i | 0.999293 | + | 0.0375894i | \(0.0119679\pi\) |
−0.467093 | + | 0.884208i | \(0.654699\pi\) | |||||||
\(864\) | −5.05954 | − | 1.18366i | −0.172129 | − | 0.0402691i | ||||
\(865\) | 3.38960 | − | 5.87096i | 0.115250 | − | 0.199619i | ||||
\(866\) | −22.4006 | −0.761203 | ||||||||
\(867\) | −1.44734 | − | 3.01936i | −0.0491543 | − | 0.102543i | ||||
\(868\) | −3.89718 | + | 9.34244i | −0.132279 | + | 0.317103i | ||||
\(869\) | 15.5853 | + | 26.9946i | 0.528696 | + | 0.915728i | ||||
\(870\) | 4.14914 | + | 8.65571i | 0.140669 | + | 0.293456i | ||||
\(871\) | −7.11102 | − | 12.3167i | −0.240948 | − | 0.417334i | ||||
\(872\) | 5.82204 | − | 10.0841i | 0.197159 | − | 0.341490i | ||||
\(873\) | 20.5404 | − | 25.5670i | 0.695187 | − | 0.865311i | ||||
\(874\) | 9.30634 | 0.314791 | ||||||||
\(875\) | −1.01860 | + | 2.44181i | −0.0344349 | + | 0.0825484i | ||||
\(876\) | −0.672088 | + | 0.981959i | −0.0227077 | + | 0.0331773i | ||||
\(877\) | −4.67427 | + | 8.09608i | −0.157839 | + | 0.273385i | −0.934089 | − | 0.357040i | \(-0.883786\pi\) |
0.776250 | + | 0.630425i | \(0.217119\pi\) | |||||||
\(878\) | 10.2877 | 0.347192 | ||||||||
\(879\) | 15.3582 | + | 32.0394i | 0.518018 | + | 1.08066i | ||||
\(880\) | 5.82602 | 0.196395 | ||||||||
\(881\) | −6.87092 | −0.231487 | −0.115744 | − | 0.993279i | \(-0.536925\pi\) | ||||
−0.115744 | + | 0.993279i | \(0.536925\pi\) | |||||||
\(882\) | 12.3242 | + | 17.0033i | 0.414978 | + | 0.572532i | ||||
\(883\) | 2.46636 | 0.0829997 | 0.0414999 | − | 0.999139i | \(-0.486786\pi\) | ||||
0.0414999 | + | 0.999139i | \(0.486786\pi\) | |||||||
\(884\) | 4.45157 | 0.149723 | ||||||||
\(885\) | −8.37601 | + | 12.2378i | −0.281556 | + | 0.411370i | ||||
\(886\) | −2.76392 | −0.0928556 | ||||||||
\(887\) | 10.6194 | − | 18.3933i | 0.356564 | − | 0.617586i | −0.630821 | − | 0.775929i | \(-0.717282\pi\) |
0.987384 | + | 0.158342i | \(0.0506150\pi\) | |||||||
\(888\) | 5.77210 | + | 12.0414i | 0.193699 | + | 0.404084i | ||||
\(889\) | −15.2689 | + | 36.6032i | −0.512104 | + | 1.22763i | ||||
\(890\) | 3.63891 | 0.121976 | ||||||||
\(891\) | 11.2984 | + | 51.2025i | 0.378510 | + | 1.71535i | ||||
\(892\) | −10.4900 | + | 18.1692i | −0.351230 | + | 0.608349i | ||||
\(893\) | −2.52833 | − | 4.37919i | −0.0846073 | − | 0.146544i | ||||
\(894\) | 16.5963 | − | 24.2482i | 0.555064 | − | 0.810981i | ||||
\(895\) | −3.25481 | − | 5.63749i | −0.108796 | − | 0.188441i | ||||
\(896\) | −1.01860 | + | 2.44181i | −0.0340290 | + | 0.0815753i | ||||
\(897\) | −11.6657 | − | 0.895401i | −0.389508 | − | 0.0298966i | ||||
\(898\) | 7.23588 | 0.241464 | ||||||||
\(899\) | −10.6016 | + | 18.3626i | −0.353585 | + | 0.612426i | ||||
\(900\) | −1.08594 | − | 2.79656i | −0.0361979 | − | 0.0932186i | ||||
\(901\) | −13.8214 | − | 23.9394i | −0.460459 | − | 0.797539i | ||||
\(902\) | 31.8481 | − | 55.1624i | 1.06042 | − | 1.83671i | ||||
\(903\) | 1.69649 | + | 2.61561i | 0.0564556 | + | 0.0870420i | ||||
\(904\) | 8.66188 | + | 15.0028i | 0.288090 | + | 0.498986i | ||||
\(905\) | 0.329178 | − | 0.570152i | 0.0109422 | − | 0.0189525i | ||||
\(906\) | 0.523997 | + | 1.09313i | 0.0174086 | + | 0.0363169i | ||||
\(907\) | 6.67045 | + | 11.5536i | 0.221489 | + | 0.383630i | 0.955260 | − | 0.295767i | \(-0.0955751\pi\) |
−0.733771 | + | 0.679396i | \(0.762242\pi\) | |||||||
\(908\) | 6.66332 | + | 11.5412i | 0.221130 | + | 0.383009i | ||||
\(909\) | 8.54032 | + | 21.9935i | 0.283265 | + | 0.729478i | ||||
\(910\) | 1.04209 | − | 2.49813i | 0.0345449 | − | 0.0828121i | ||||
\(911\) | 11.7771 | − | 20.3985i | 0.390192 | − | 0.675832i | −0.602283 | − | 0.798283i | \(-0.705742\pi\) |
0.992475 | + | 0.122451i | \(0.0390754\pi\) | |||||||
\(912\) | −1.05525 | − | 2.20141i | −0.0349429 | − | 0.0728959i | ||||
\(913\) | −80.9259 | −2.67826 | ||||||||
\(914\) | 16.9550 | 0.560820 | ||||||||
\(915\) | 1.40632 | − | 2.05471i | 0.0464914 | − | 0.0679267i | ||||
\(916\) | −1.56726 | + | 2.71458i | −0.0517839 | + | 0.0896923i | ||||
\(917\) | 28.6291 | + | 37.5040i | 0.945415 | + | 1.23849i | ||||
\(918\) | 15.4680 | − | 16.4905i | 0.510519 | − | 0.544268i | ||||
\(919\) | 22.9390 | + | 39.7315i | 0.756687 | + | 1.31062i | 0.944531 | + | 0.328421i | \(0.106517\pi\) |
−0.187845 | + | 0.982199i | \(0.560150\pi\) | |||||||
\(920\) | 3.30138 | + | 5.71815i | 0.108843 | + | 0.188522i | ||||
\(921\) | −21.5866 | − | 1.65688i | −0.711303 | − | 0.0545959i | ||||
\(922\) | 13.3292 | − | 23.0868i | 0.438972 | − | 0.760323i | ||||
\(923\) | 5.34922 | + | 9.26512i | 0.176072 | + | 0.304965i | ||||
\(924\) | 26.6624 | − | 1.38217i | 0.877128 | − | 0.0454699i | ||||
\(925\) | −3.85479 | + | 6.67670i | −0.126745 | + | 0.219529i | ||||
\(926\) | −10.2503 | − | 17.7540i | −0.336846 | − | 0.583434i | ||||
\(927\) | −6.47459 | + | 8.05904i | −0.212654 | + | 0.264693i | ||||
\(928\) | −2.77093 | + | 4.79939i | −0.0909603 | + | 0.157548i | ||||
\(929\) | −16.1651 | −0.530361 | −0.265181 | − | 0.964199i | \(-0.585432\pi\) | ||||
−0.265181 | + | 0.964199i | \(0.585432\pi\) | |||||||
\(930\) | 3.74292 | − | 5.46863i | 0.122735 | − | 0.179323i | ||||
\(931\) | −2.60123 | + | 9.51716i | −0.0852517 | + | 0.311912i | ||||
\(932\) | 2.18283 | + | 3.78077i | 0.0715009 | + | 0.123843i | ||||
\(933\) | −15.2911 | − | 1.17367i | −0.500609 | − | 0.0384242i | ||||
\(934\) | −18.4234 | − | 31.9103i | −0.602832 | − | 1.04414i | ||||
\(935\) | −12.6752 | + | 21.9540i | −0.414522 | + | 0.717974i | ||||
\(936\) | 1.11098 | + | 2.86105i | 0.0363135 | + | 0.0935165i | ||||
\(937\) | −27.2402 | −0.889899 | −0.444950 | − | 0.895556i | \(-0.646778\pi\) | ||||
−0.444950 | + | 0.895556i | \(0.646778\pi\) | |||||||
\(938\) | −14.1600 | + | 33.9448i | −0.462340 | + | 1.10834i | ||||
\(939\) | 27.8051 | + | 2.13417i | 0.907384 | + | 0.0696460i | ||||
\(940\) | 1.79382 | − | 3.10699i | 0.0585081 | − | 0.101339i | ||||
\(941\) | 8.34601 | 0.272072 | 0.136036 | − | 0.990704i | \(-0.456564\pi\) | ||||
0.136036 | + | 0.990704i | \(0.456564\pi\) | |||||||
\(942\) | 27.7332 | + | 2.12866i | 0.903598 | + | 0.0693555i | ||||
\(943\) | 72.1881 | 2.35077 | ||||||||
\(944\) | −8.56197 | −0.278669 | ||||||||
\(945\) | −5.63317 | − | 12.5406i | −0.183247 | − | 0.407947i | ||||
\(946\) | 3.96355 | 0.128866 | ||||||||
\(947\) | 2.29975 | 0.0747318 | 0.0373659 | − | 0.999302i | \(-0.488103\pi\) | ||||
0.0373659 | + | 0.999302i | \(0.488103\pi\) | |||||||
\(948\) | 9.23972 | + | 0.709193i | 0.300092 | + | 0.0230335i | ||||
\(949\) | 0.702853 | 0.0228156 | ||||||||
\(950\) | 0.704732 | − | 1.22063i | 0.0228645 | − | 0.0396025i | ||||
\(951\) | 51.7483 | + | 3.97193i | 1.67805 | + | 0.128799i | ||||
\(952\) | −6.98535 | − | 9.15080i | −0.226396 | − | 0.296579i | ||||
\(953\) | −12.1920 | −0.394936 | −0.197468 | − | 0.980309i | \(-0.563272\pi\) | ||||
−0.197468 | + | 0.980309i | \(0.563272\pi\) | |||||||
\(954\) | 11.9366 | − | 14.8577i | 0.386462 | − | 0.481036i | ||||
\(955\) | −13.1642 | + | 22.8011i | −0.425984 | + | 0.737826i | ||||
\(956\) | −6.38171 | − | 11.0535i | −0.206399 | − | 0.357494i | ||||
\(957\) | 55.7587 | + | 4.27975i | 1.80242 | + | 0.138345i | ||||
\(958\) | 6.28715 | + | 10.8897i | 0.203129 | + | 0.351829i | ||||
\(959\) | 17.6641 | − | 2.28057i | 0.570402 | − | 0.0736435i | ||||
\(960\) | 0.978280 | − | 1.42932i | 0.0315739 | − | 0.0461312i | ||||
\(961\) | −16.3616 | −0.527792 | ||||||||
\(962\) | 3.94369 | − | 6.83068i | 0.127150 | − | 0.220230i | ||||
\(963\) | −20.6196 | − | 53.1007i | −0.664458 | − | 1.71115i | ||||
\(964\) | 1.11443 | + | 1.93025i | 0.0358933 | + | 0.0621690i | ||||
\(965\) | 0.974826 | − | 1.68845i | 0.0313808 | − | 0.0543531i | ||||
\(966\) | 16.4651 | + | 25.3855i | 0.529756 | + | 0.816765i | ||||
\(967\) | −0.714339 | − | 1.23727i | −0.0229716 | − | 0.0397880i | 0.854311 | − | 0.519762i | \(-0.173979\pi\) |
−0.877283 | + | 0.479974i | \(0.840646\pi\) | |||||||
\(968\) | 11.4713 | − | 19.8688i | 0.368700 | − | 0.638608i | ||||
\(969\) | 10.5913 | + | 0.812935i | 0.340242 | + | 0.0261152i | ||||
\(970\) | 5.46600 | + | 9.46739i | 0.175503 | + | 0.303980i | ||||
\(971\) | 30.4968 | + | 52.8221i | 0.978690 | + | 1.69514i | 0.667177 | + | 0.744899i | \(0.267502\pi\) |
0.311513 | + | 0.950242i | \(0.399164\pi\) | |||||||
\(972\) | 14.4589 | + | 5.82581i | 0.463770 | + | 0.186863i | ||||
\(973\) | 14.9559 | − | 1.93093i | 0.479465 | − | 0.0619028i | ||||
\(974\) | 9.47787 | − | 16.4161i | 0.303690 | − | 0.526007i | ||||
\(975\) | −1.00084 | + | 1.46229i | −0.0320526 | + | 0.0468307i | ||||
\(976\) | 1.43754 | 0.0460146 | ||||||||
\(977\) | −19.0633 | −0.609890 | −0.304945 | − | 0.952370i | \(-0.598638\pi\) | ||||
−0.304945 | + | 0.952370i | \(0.598638\pi\) | |||||||
\(978\) | 3.78392 | + | 7.89379i | 0.120996 | + | 0.252416i | ||||
\(979\) | 10.6002 | − | 18.3600i | 0.338783 | − | 0.586790i | ||||
\(980\) | −6.77046 | + | 1.77788i | −0.216274 | + | 0.0567922i | ||||
\(981\) | −21.8783 | + | 27.2323i | −0.698522 | + | 0.869462i | ||||
\(982\) | 2.38354 | + | 4.12842i | 0.0760619 | + | 0.131743i | ||||
\(983\) | −6.89478 | − | 11.9421i | −0.219909 | − | 0.380894i | 0.734871 | − | 0.678207i | \(-0.237243\pi\) |
−0.954780 | + | 0.297313i | \(0.903909\pi\) | |||||||
\(984\) | −8.18547 | − | 17.0761i | −0.260943 | − | 0.544365i | ||||
\(985\) | 6.09917 | − | 10.5641i | 0.194336 | − | 0.336599i | ||||
\(986\) | −12.0569 | − | 20.8832i | −0.383971 | − | 0.665058i | ||||
\(987\) | 7.47221 | − | 14.6445i | 0.237843 | − | 0.466140i | ||||
\(988\) | −0.720984 | + | 1.24878i | −0.0229376 | + | 0.0397290i | ||||
\(989\) | 2.24598 | + | 3.89016i | 0.0714182 | + | 0.123700i | ||||
\(990\) | −17.2733 | − | 2.66734i | −0.548983 | − | 0.0847735i | ||||
\(991\) | −19.7167 | + | 34.1504i | −0.626323 | + | 1.08482i | 0.361961 | + | 0.932193i | \(0.382107\pi\) |
−0.988283 | + | 0.152630i | \(0.951226\pi\) | |||||||
\(992\) | 3.82602 | 0.121476 | ||||||||
\(993\) | 25.6101 | + | 1.96570i | 0.812713 | + | 0.0623796i | ||||
\(994\) | 10.6517 | − | 25.5347i | 0.337853 | − | 0.809912i | ||||
\(995\) | 7.38959 | + | 12.7992i | 0.234266 | + | 0.405760i | ||||
\(996\) | −13.5887 | + | 19.8539i | −0.430575 | + | 0.629095i | ||||
\(997\) | −11.3215 | − | 19.6095i | −0.358557 | − | 0.621039i | 0.629163 | − | 0.777273i | \(-0.283398\pi\) |
−0.987720 | + | 0.156235i | \(0.950064\pi\) | |||||||
\(998\) | −8.30616 | + | 14.3867i | −0.262927 | + | 0.455403i | ||||
\(999\) | −11.6005 | − | 38.3438i | −0.367024 | − | 1.21314i |
(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 | 630.2.i.i.151.8 | yes | 16 | |
3.2 | odd | 2 | 1890.2.i.i.991.6 | 16 | |||
7.2 | even | 3 | 630.2.l.i.331.3 | yes | 16 | ||
9.4 | even | 3 | 630.2.l.i.571.3 | yes | 16 | ||
9.5 | odd | 6 | 1890.2.l.i.361.5 | 16 | |||
21.2 | odd | 6 | 1890.2.l.i.1801.5 | 16 | |||
63.23 | odd | 6 | 1890.2.i.i.1171.6 | 16 | |||
63.58 | even | 3 | inner | 630.2.i.i.121.8 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.i.i.121.8 | ✓ | 16 | 63.58 | even | 3 | inner | |
630.2.i.i.151.8 | yes | 16 | 1.1 | even | 1 | trivial | |
630.2.l.i.331.3 | yes | 16 | 7.2 | even | 3 | ||
630.2.l.i.571.3 | yes | 16 | 9.4 | even | 3 | ||
1890.2.i.i.991.6 | 16 | 3.2 | odd | 2 | |||
1890.2.i.i.1171.6 | 16 | 63.23 | odd | 6 | |||
1890.2.l.i.361.5 | 16 | 9.5 | odd | 6 | |||
1890.2.l.i.1801.5 | 16 | 21.2 | odd | 6 |