Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(131,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bh (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.10 | ||
Character | \(\chi\) | \(=\) | 273.131 |
Dual form | 273.2.bh.a.248.10 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.09109 | − | 0.629943i | −0.771520 | − | 0.445437i | 0.0618968 | − | 0.998083i | \(-0.480285\pi\) |
−0.833416 | + | 0.552645i | \(0.813618\pi\) | |||||||
\(3\) | −1.60797 | + | 0.643773i | −0.928360 | + | 0.371683i | ||||
\(4\) | −0.206343 | − | 0.357397i | −0.103172 | − | 0.178698i | ||||
\(5\) | −2.03837 | + | 3.53057i | −0.911589 | + | 1.57892i | −0.0997684 | + | 0.995011i | \(0.531810\pi\) |
−0.811820 | + | 0.583907i | \(0.801523\pi\) | |||||||
\(6\) | 2.15998 | + | 0.310511i | 0.881809 | + | 0.126765i | ||||
\(7\) | −1.74546 | − | 1.98831i | −0.659721 | − | 0.751510i | ||||
\(8\) | 3.03971i | 1.07470i | ||||||||
\(9\) | 2.17111 | − | 2.07033i | 0.723704 | − | 0.690111i | ||||
\(10\) | 4.44811 | − | 2.56812i | 1.40662 | − | 0.812111i | ||||
\(11\) | 3.44076 | − | 1.98652i | 1.03743 | − | 0.598959i | 0.118324 | − | 0.992975i | \(-0.462248\pi\) |
0.919104 | + | 0.394016i | \(0.128915\pi\) | |||||||
\(12\) | 0.561875 | + | 0.441844i | 0.162199 | + | 0.127549i | ||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | 0.651937 | + | 3.26897i | 0.174237 | + | 0.873669i | ||||
\(15\) | 1.00475 | − | 6.98929i | 0.259426 | − | 1.80463i | ||||
\(16\) | 1.50216 | − | 2.60182i | 0.375540 | − | 0.650454i | ||||
\(17\) | −2.62470 | − | 4.54611i | −0.636583 | − | 1.10259i | −0.986177 | − | 0.165693i | \(-0.947014\pi\) |
0.349594 | − | 0.936901i | \(-0.386319\pi\) | |||||||
\(18\) | −3.67308 | + | 0.891248i | −0.865753 | + | 0.210069i | ||||
\(19\) | 5.30173 | + | 3.06096i | 1.21630 | + | 0.702231i | 0.964125 | − | 0.265450i | \(-0.0855206\pi\) |
0.252176 | + | 0.967681i | \(0.418854\pi\) | |||||||
\(20\) | 1.68242 | 0.376200 | ||||||||
\(21\) | 4.08666 | + | 2.07346i | 0.891782 | + | 0.452465i | ||||
\(22\) | −5.00559 | −1.06719 | ||||||||
\(23\) | 0.414985 | + | 0.239592i | 0.0865303 | + | 0.0499583i | 0.542641 | − | 0.839965i | \(-0.317424\pi\) |
−0.456110 | + | 0.889923i | \(0.650758\pi\) | |||||||
\(24\) | −1.95688 | − | 4.88775i | −0.399447 | − | 0.997708i | ||||
\(25\) | −5.80994 | − | 10.0631i | −1.16199 | − | 2.01262i | ||||
\(26\) | −0.629943 | + | 1.09109i | −0.123542 | + | 0.213981i | ||||
\(27\) | −2.15825 | + | 4.72673i | −0.415356 | + | 0.909659i | ||||
\(28\) | −0.350452 | + | 1.03410i | −0.0662292 | + | 0.195426i | ||||
\(29\) | − | 1.78061i | − | 0.330651i | −0.986239 | − | 0.165326i | \(-0.947133\pi\) | ||
0.986239 | − | 0.165326i | \(-0.0528675\pi\) | |||||||
\(30\) | −5.49913 | + | 6.99303i | −1.00400 | + | 1.27675i | ||||
\(31\) | 4.02710 | − | 2.32505i | 0.723289 | − | 0.417591i | −0.0926732 | − | 0.995697i | \(-0.529541\pi\) |
0.815962 | + | 0.578106i | \(0.196208\pi\) | |||||||
\(32\) | 1.98694 | − | 1.14716i | 0.351245 | − | 0.202791i | ||||
\(33\) | −4.25375 | + | 5.40933i | −0.740483 | + | 0.941644i | ||||
\(34\) | 6.61365i | 1.13423i | ||||||||
\(35\) | 10.5778 | − | 2.10954i | 1.78797 | − | 0.356577i | ||||
\(36\) | −1.18792 | − | 0.348750i | −0.197987 | − | 0.0581250i | ||||
\(37\) | 2.92747 | − | 5.07053i | 0.481273 | − | 0.833590i | −0.518496 | − | 0.855080i | \(-0.673508\pi\) |
0.999769 | + | 0.0214906i | \(0.00684119\pi\) | |||||||
\(38\) | −3.85646 | − | 6.67958i | −0.625600 | − | 1.08357i | ||||
\(39\) | 0.643773 | + | 1.60797i | 0.103086 | + | 0.257481i | ||||
\(40\) | −10.7319 | − | 6.19607i | −1.69686 | − | 0.979684i | ||||
\(41\) | −1.16060 | −0.181256 | −0.0906280 | − | 0.995885i | \(-0.528887\pi\) | ||||
−0.0906280 | + | 0.995885i | \(0.528887\pi\) | |||||||
\(42\) | −3.15277 | − | 4.83670i | −0.486483 | − | 0.746319i | ||||
\(43\) | 5.39213 | 0.822292 | 0.411146 | − | 0.911570i | \(-0.365129\pi\) | ||||
0.411146 | + | 0.911570i | \(0.365129\pi\) | |||||||
\(44\) | −1.41995 | − | 0.819811i | −0.214066 | − | 0.123591i | ||||
\(45\) | 2.88391 | + | 11.8854i | 0.429908 | + | 1.77177i | ||||
\(46\) | −0.301858 | − | 0.522834i | −0.0445066 | − | 0.0770876i | ||||
\(47\) | 0.613160 | − | 1.06202i | 0.0894385 | − | 0.154912i | −0.817835 | − | 0.575452i | \(-0.804826\pi\) |
0.907274 | + | 0.420540i | \(0.138159\pi\) | |||||||
\(48\) | −0.740442 | + | 5.15068i | −0.106874 | + | 0.743437i | ||||
\(49\) | −0.906749 | + | 6.94102i | −0.129536 | + | 0.991575i | ||||
\(50\) | 14.6397i | 2.07037i | ||||||||
\(51\) | 7.14710 | + | 5.62029i | 1.00079 | + | 0.786997i | ||||
\(52\) | −0.357397 | + | 0.206343i | −0.0495620 | + | 0.0286147i | ||||
\(53\) | −1.04632 | + | 0.604090i | −0.143722 | + | 0.0829782i | −0.570137 | − | 0.821550i | \(-0.693110\pi\) |
0.426414 | + | 0.904528i | \(0.359777\pi\) | |||||||
\(54\) | 5.33242 | − | 3.79773i | 0.725651 | − | 0.516805i | ||||
\(55\) | 16.1971i | 2.18402i | ||||||||
\(56\) | 6.04389 | − | 5.30569i | 0.807648 | − | 0.709002i | ||||
\(57\) | −10.4956 | − | 1.50880i | −1.39017 | − | 0.199846i | ||||
\(58\) | −1.12168 | + | 1.94281i | −0.147284 | + | 0.255104i | ||||
\(59\) | 0.358619 | + | 0.621146i | 0.0466882 | + | 0.0808663i | 0.888425 | − | 0.459022i | \(-0.151800\pi\) |
−0.841737 | + | 0.539888i | \(0.818467\pi\) | |||||||
\(60\) | −2.70527 | + | 1.08310i | −0.349249 | + | 0.139827i | ||||
\(61\) | 0.520590 | + | 0.300563i | 0.0666547 | + | 0.0384831i | 0.532957 | − | 0.846142i | \(-0.321081\pi\) |
−0.466302 | + | 0.884625i | \(0.654414\pi\) | |||||||
\(62\) | −5.85859 | −0.744042 | ||||||||
\(63\) | −7.90605 | − | 0.703165i | −0.996068 | − | 0.0885904i | ||||
\(64\) | −8.89922 | −1.11240 | ||||||||
\(65\) | 3.53057 | + | 2.03837i | 0.437913 | + | 0.252829i | ||||
\(66\) | 8.04881 | − | 3.22246i | 0.990741 | − | 0.396658i | ||||
\(67\) | −2.10955 | − | 3.65385i | −0.257723 | − | 0.446389i | 0.707909 | − | 0.706304i | \(-0.249639\pi\) |
−0.965631 | + | 0.259915i | \(0.916305\pi\) | |||||||
\(68\) | −1.08318 | + | 1.87612i | −0.131355 | + | 0.227513i | ||||
\(69\) | −0.821525 | − | 0.118099i | −0.0988999 | − | 0.0142175i | ||||
\(70\) | −12.8702 | − | 4.36168i | −1.53829 | − | 0.521321i | ||||
\(71\) | − | 2.72226i | − | 0.323073i | −0.986867 | − | 0.161537i | \(-0.948355\pi\) | ||
0.986867 | − | 0.161537i | \(-0.0516450\pi\) | |||||||
\(72\) | 6.29321 | + | 6.59955i | 0.741662 | + | 0.777765i | ||||
\(73\) | 9.05584 | − | 5.22839i | 1.05991 | − | 0.611937i | 0.134500 | − | 0.990914i | \(-0.457057\pi\) |
0.925406 | + | 0.378977i | \(0.123724\pi\) | |||||||
\(74\) | −6.38829 | + | 3.68828i | −0.742623 | + | 0.428754i | ||||
\(75\) | 15.8206 | + | 12.4409i | 1.82680 | + | 1.43655i | ||||
\(76\) | − | 2.52643i | − | 0.289801i | ||||||
\(77\) | −9.95552 | − | 3.37390i | −1.13454 | − | 0.384492i | ||||
\(78\) | 0.310511 | − | 2.15998i | 0.0351584 | − | 0.244570i | ||||
\(79\) | −0.460495 | + | 0.797600i | −0.0518097 | + | 0.0897371i | −0.890767 | − | 0.454460i | \(-0.849832\pi\) |
0.838957 | + | 0.544197i | \(0.183166\pi\) | |||||||
\(80\) | 6.12392 | + | 10.6069i | 0.684675 | + | 1.18589i | ||||
\(81\) | 0.427455 | − | 8.98984i | 0.0474950 | − | 0.998871i | ||||
\(82\) | 1.26633 | + | 0.731115i | 0.139843 | + | 0.0807381i | ||||
\(83\) | −6.85477 | −0.752409 | −0.376204 | − | 0.926537i | \(-0.622771\pi\) | ||||
−0.376204 | + | 0.926537i | \(0.622771\pi\) | |||||||
\(84\) | −0.102208 | − | 1.88840i | −0.0111518 | − | 0.206042i | ||||
\(85\) | 21.4005 | 2.32121 | ||||||||
\(86\) | −5.88332 | − | 3.39673i | −0.634414 | − | 0.366279i | ||||
\(87\) | 1.14631 | + | 2.86316i | 0.122897 | + | 0.306963i | ||||
\(88\) | 6.03845 | + | 10.4589i | 0.643701 | + | 1.11492i | ||||
\(89\) | 1.74131 | − | 3.01603i | 0.184578 | − | 0.319698i | −0.758856 | − | 0.651258i | \(-0.774242\pi\) |
0.943434 | + | 0.331560i | \(0.107575\pi\) | |||||||
\(90\) | 4.34049 | − | 14.7847i | 0.457528 | − | 1.55845i | ||||
\(91\) | −1.98831 | + | 1.74546i | −0.208431 | + | 0.182974i | ||||
\(92\) | − | 0.197752i | − | 0.0206171i | ||||||
\(93\) | −4.97864 | + | 6.33114i | −0.516261 | + | 0.656509i | ||||
\(94\) | −1.33803 | + | 0.772511i | −0.138007 | + | 0.0796785i | ||||
\(95\) | −21.6138 | + | 12.4787i | −2.21753 | + | 1.28029i | ||||
\(96\) | −2.45642 | + | 3.12374i | −0.250708 | + | 0.318815i | ||||
\(97\) | − | 6.17977i | − | 0.627461i | −0.949512 | − | 0.313730i | \(-0.898421\pi\) | ||
0.949512 | − | 0.313730i | \(-0.101579\pi\) | |||||||
\(98\) | 5.36180 | − | 7.00211i | 0.541623 | − | 0.707319i | ||||
\(99\) | 3.35751 | − | 11.4365i | 0.337443 | − | 1.14941i | ||||
\(100\) | −2.39768 | + | 4.15291i | −0.239768 | + | 0.415291i | ||||
\(101\) | −7.53077 | − | 13.0437i | −0.749339 | − | 1.29789i | −0.948140 | − | 0.317854i | \(-0.897038\pi\) |
0.198800 | − | 0.980040i | \(-0.436296\pi\) | |||||||
\(102\) | −4.25769 | − | 10.6345i | −0.421574 | − | 1.05297i | ||||
\(103\) | −1.60002 | − | 0.923774i | −0.157655 | − | 0.0910222i | 0.419097 | − | 0.907941i | \(-0.362347\pi\) |
−0.576752 | + | 0.816919i | \(0.695680\pi\) | |||||||
\(104\) | 3.03971 | 0.298068 | ||||||||
\(105\) | −15.6506 | + | 10.2017i | −1.52734 | + | 0.995589i | ||||
\(106\) | 1.52217 | 0.147846 | ||||||||
\(107\) | 10.6443 | + | 6.14548i | 1.02902 | + | 0.594106i | 0.916704 | − | 0.399566i | \(-0.130839\pi\) |
0.112318 | + | 0.993672i | \(0.464173\pi\) | |||||||
\(108\) | 2.13466 | − | 0.203976i | 0.205408 | − | 0.0196276i | ||||
\(109\) | 1.25798 | + | 2.17888i | 0.120493 | + | 0.208699i | 0.919962 | − | 0.392008i | \(-0.128219\pi\) |
−0.799469 | + | 0.600707i | \(0.794886\pi\) | |||||||
\(110\) | 10.2033 | − | 17.6726i | 0.972842 | − | 1.68501i | ||||
\(111\) | −1.44300 | + | 10.0379i | −0.136964 | + | 0.952752i | ||||
\(112\) | −7.79517 | + | 1.55460i | −0.736574 | + | 0.146896i | ||||
\(113\) | − | 11.4708i | − | 1.07908i | −0.841961 | − | 0.539539i | \(-0.818599\pi\) | ||
0.841961 | − | 0.539539i | \(-0.181401\pi\) | |||||||
\(114\) | 10.5012 | + | 8.25785i | 0.983526 | + | 0.773419i | ||||
\(115\) | −1.69179 | + | 0.976755i | −0.157760 | + | 0.0910829i | ||||
\(116\) | −0.636385 | + | 0.367417i | −0.0590869 | + | 0.0341138i | ||||
\(117\) | −2.07033 | − | 2.17111i | −0.191402 | − | 0.200719i | ||||
\(118\) | − | 0.903637i | − | 0.0831865i | ||||||
\(119\) | −4.45778 | + | 13.1538i | −0.408644 | + | 1.20580i | ||||
\(120\) | 21.2454 | + | 3.05416i | 1.93943 | + | 0.278805i | ||||
\(121\) | 2.39255 | − | 4.14401i | 0.217504 | − | 0.376728i | ||||
\(122\) | −0.378675 | − | 0.655884i | −0.0342836 | − | 0.0593809i | ||||
\(123\) | 1.86621 | − | 0.747166i | 0.168271 | − | 0.0673697i | ||||
\(124\) | −1.66193 | − | 0.959516i | −0.149246 | − | 0.0861670i | ||||
\(125\) | 26.9876 | 2.41384 | ||||||||
\(126\) | 8.18328 | + | 5.74758i | 0.729025 | + | 0.512035i | ||||
\(127\) | −9.67428 | −0.858454 | −0.429227 | − | 0.903197i | \(-0.641214\pi\) | ||||
−0.429227 | + | 0.903197i | \(0.641214\pi\) | |||||||
\(128\) | 5.73600 | + | 3.31168i | 0.506995 | + | 0.292714i | ||||
\(129\) | −8.67036 | + | 3.47131i | −0.763383 | + | 0.305632i | ||||
\(130\) | −2.56812 | − | 4.44811i | −0.225239 | − | 0.390125i | ||||
\(131\) | 11.0042 | − | 19.0598i | 0.961438 | − | 1.66526i | 0.242542 | − | 0.970141i | \(-0.422019\pi\) |
0.718896 | − | 0.695118i | \(-0.244648\pi\) | |||||||
\(132\) | 2.81101 | + | 0.404100i | 0.244667 | + | 0.0351724i | ||||
\(133\) | −3.16782 | − | 15.8842i | −0.274685 | − | 1.37734i | ||||
\(134\) | 5.31559i | 0.459197i | ||||||||
\(135\) | −12.2887 | − | 17.2547i | −1.05764 | − | 1.48505i | ||||
\(136\) | 13.8189 | − | 7.97833i | 1.18496 | − | 0.684136i | ||||
\(137\) | 10.4974 | − | 6.06070i | 0.896857 | − | 0.517801i | 0.0206780 | − | 0.999786i | \(-0.493418\pi\) |
0.876179 | + | 0.481985i | \(0.160084\pi\) | |||||||
\(138\) | 0.821964 | + | 0.646371i | 0.0699703 | + | 0.0550228i | ||||
\(139\) | − | 17.8189i | − | 1.51138i | −0.654932 | − | 0.755688i | \(-0.727303\pi\) | ||
0.654932 | − | 0.755688i | \(-0.272697\pi\) | |||||||
\(140\) | −2.93659 | − | 3.34517i | −0.248187 | − | 0.282718i | ||||
\(141\) | −0.302238 | + | 2.10243i | −0.0254530 | + | 0.177057i | ||||
\(142\) | −1.71487 | + | 2.97024i | −0.143909 | + | 0.249257i | ||||
\(143\) | −1.98652 | − | 3.44076i | −0.166121 | − | 0.287731i | ||||
\(144\) | −2.12527 | − | 8.75880i | −0.177105 | − | 0.729900i | ||||
\(145\) | 6.28657 | + | 3.62955i | 0.522071 | + | 0.301418i | ||||
\(146\) | −13.1744 | −1.09032 | ||||||||
\(147\) | −3.01042 | − | 11.7447i | −0.248295 | − | 0.968684i | ||||
\(148\) | −2.41625 | −0.198615 | ||||||||
\(149\) | −15.8649 | − | 9.15960i | −1.29970 | − | 0.750384i | −0.319350 | − | 0.947637i | \(-0.603465\pi\) |
−0.980353 | + | 0.197253i | \(0.936798\pi\) | |||||||
\(150\) | −9.42467 | − | 23.5402i | −0.769521 | − | 1.92205i | ||||
\(151\) | 11.2801 | + | 19.5377i | 0.917963 | + | 1.58996i | 0.802505 | + | 0.596645i | \(0.203500\pi\) |
0.115458 | + | 0.993312i | \(0.463167\pi\) | |||||||
\(152\) | −9.30442 | + | 16.1157i | −0.754688 | + | 1.30716i | ||||
\(153\) | −15.1105 | − | 4.43612i | −1.22161 | − | 0.358639i | ||||
\(154\) | 8.73704 | + | 9.95265i | 0.704051 | + | 0.802008i | ||||
\(155\) | 18.9573i | 1.52268i | ||||||||
\(156\) | 0.441844 | − | 0.561875i | 0.0353758 | − | 0.0449860i | ||||
\(157\) | −11.4626 | + | 6.61791i | −0.914812 | + | 0.528167i | −0.881976 | − | 0.471294i | \(-0.843787\pi\) |
−0.0328357 | + | 0.999461i | \(0.510454\pi\) | |||||||
\(158\) | 1.00489 | − | 0.580171i | 0.0799444 | − | 0.0461559i | ||||
\(159\) | 1.29354 | − | 1.64495i | 0.102585 | − | 0.130453i | ||||
\(160\) | 9.35338i | 0.739449i | ||||||||
\(161\) | −0.247957 | − | 1.24332i | −0.0195417 | − | 0.0979870i | ||||
\(162\) | −6.12948 | + | 9.53949i | −0.481578 | + | 0.749493i | ||||
\(163\) | 4.77942 | − | 8.27820i | 0.374353 | − | 0.648399i | −0.615877 | − | 0.787842i | \(-0.711198\pi\) |
0.990230 | + | 0.139444i | \(0.0445314\pi\) | |||||||
\(164\) | 0.239483 | + | 0.414796i | 0.0187005 | + | 0.0323902i | ||||
\(165\) | −10.4273 | − | 26.0444i | −0.811762 | − | 2.02755i | ||||
\(166\) | 7.47920 | + | 4.31812i | 0.580498 | + | 0.335151i | ||||
\(167\) | 4.50777 | 0.348822 | 0.174411 | − | 0.984673i | \(-0.444198\pi\) | ||||
0.174411 | + | 0.984673i | \(0.444198\pi\) | |||||||
\(168\) | −6.30270 | + | 12.4223i | −0.486264 | + | 0.958398i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −23.3499 | − | 13.4811i | −1.79086 | − | 1.03395i | ||||
\(171\) | 17.8478 | − | 4.33066i | 1.36486 | − | 0.331174i | ||||
\(172\) | −1.11263 | − | 1.92713i | −0.0848371 | − | 0.146942i | ||||
\(173\) | −7.18061 | + | 12.4372i | −0.545931 | + | 0.945581i | 0.452616 | + | 0.891705i | \(0.350491\pi\) |
−0.998548 | + | 0.0538756i | \(0.982843\pi\) | |||||||
\(174\) | 0.552899 | − | 3.84609i | 0.0419151 | − | 0.291571i | ||||
\(175\) | −9.86757 | + | 29.1167i | −0.745918 | + | 2.20102i | ||||
\(176\) | − | 11.9363i | − | 0.899732i | ||||||
\(177\) | −0.976523 | − | 0.767912i | −0.0734000 | − | 0.0577198i | ||||
\(178\) | −3.79985 | + | 2.19385i | −0.284811 | + | 0.164436i | ||||
\(179\) | 1.71706 | − | 0.991345i | 0.128339 | − | 0.0740966i | −0.434456 | − | 0.900693i | \(-0.643059\pi\) |
0.562795 | + | 0.826596i | \(0.309726\pi\) | |||||||
\(180\) | 3.65272 | − | 3.48316i | 0.272258 | − | 0.259620i | ||||
\(181\) | − | 0.881907i | − | 0.0655516i | −0.999463 | − | 0.0327758i | \(-0.989565\pi\) | ||
0.999463 | − | 0.0327758i | \(-0.0104347\pi\) | |||||||
\(182\) | 3.26897 | − | 0.651937i | 0.242312 | − | 0.0483248i | ||||
\(183\) | −1.03059 | − | 0.148153i | −0.0761830 | − | 0.0109518i | ||||
\(184\) | −0.728289 | + | 1.26143i | −0.0536902 | + | 0.0929942i | ||||
\(185\) | 11.9346 | + | 20.6713i | 0.877446 | + | 1.51978i | ||||
\(186\) | 9.42042 | − | 3.77160i | 0.690739 | − | 0.276547i | ||||
\(187\) | −18.0619 | − | 10.4281i | −1.32082 | − | 0.762575i | ||||
\(188\) | −0.506085 | −0.0369101 | ||||||||
\(189\) | 13.1653 | − | 3.95904i | 0.957637 | − | 0.287977i | ||||
\(190\) | 31.4436 | 2.28116 | ||||||||
\(191\) | 4.03878 | + | 2.33179i | 0.292236 | + | 0.168723i | 0.638950 | − | 0.769248i | \(-0.279369\pi\) |
−0.346714 | + | 0.937971i | \(0.612702\pi\) | |||||||
\(192\) | 14.3096 | − | 5.72908i | 1.03271 | − | 0.413461i | ||||
\(193\) | 2.02530 | + | 3.50793i | 0.145785 | + | 0.252506i | 0.929665 | − | 0.368405i | \(-0.120096\pi\) |
−0.783881 | + | 0.620911i | \(0.786763\pi\) | |||||||
\(194\) | −3.89291 | + | 6.74271i | −0.279494 | + | 0.484098i | ||||
\(195\) | −6.98929 | − | 1.00475i | −0.500513 | − | 0.0719518i | ||||
\(196\) | 2.66780 | − | 1.10816i | 0.190557 | − | 0.0791545i | ||||
\(197\) | 11.7757i | 0.838983i | 0.907759 | + | 0.419492i | \(0.137792\pi\) | ||||
−0.907759 | + | 0.419492i | \(0.862208\pi\) | |||||||
\(198\) | −10.8677 | + | 10.3632i | −0.772333 | + | 0.736482i | ||||
\(199\) | 4.71072 | − | 2.71974i | 0.333934 | − | 0.192797i | −0.323652 | − | 0.946176i | \(-0.604911\pi\) |
0.657586 | + | 0.753379i | \(0.271577\pi\) | |||||||
\(200\) | 30.5889 | − | 17.6605i | 2.16297 | − | 1.24879i | ||||
\(201\) | 5.74434 | + | 4.51719i | 0.405174 | + | 0.318618i | ||||
\(202\) | 18.9758i | 1.33513i | ||||||||
\(203\) | −3.54041 | + | 3.10798i | −0.248488 | + | 0.218138i | ||||
\(204\) | 0.533918 | − | 3.71406i | 0.0373818 | − | 0.260036i | ||||
\(205\) | 2.36575 | − | 4.09759i | 0.165231 | − | 0.286188i | ||||
\(206\) | 1.16385 | + | 2.01585i | 0.0810893 | + | 0.140451i | ||||
\(207\) | 1.39701 | − | 0.338976i | 0.0970991 | − | 0.0235605i | ||||
\(208\) | −2.60182 | − | 1.50216i | −0.180403 | − | 0.104156i | ||||
\(209\) | 24.3226 | 1.68243 | ||||||||
\(210\) | 23.5028 | − | 1.27206i | 1.62185 | − | 0.0877808i | ||||
\(211\) | −3.86835 | −0.266308 | −0.133154 | − | 0.991095i | \(-0.542510\pi\) | ||||
−0.133154 | + | 0.991095i | \(0.542510\pi\) | |||||||
\(212\) | 0.431800 | + | 0.249300i | 0.0296562 | + | 0.0171220i | ||||
\(213\) | 1.75252 | + | 4.37731i | 0.120081 | + | 0.299928i | ||||
\(214\) | −7.74261 | − | 13.4106i | −0.529274 | − | 0.916729i | ||||
\(215\) | −10.9912 | + | 19.0373i | −0.749592 | + | 1.29833i | ||||
\(216\) | −14.3679 | − | 6.56046i | −0.977611 | − | 0.446383i | ||||
\(217\) | −11.6521 | − | 3.94885i | −0.790993 | − | 0.268065i | ||||
\(218\) | − | 3.16982i | − | 0.214687i | ||||||
\(219\) | −11.1956 | + | 14.2370i | −0.756528 | + | 0.962047i | ||||
\(220\) | 5.78880 | − | 3.34216i | 0.390281 | − | 0.225329i | ||||
\(221\) | −4.54611 | + | 2.62470i | −0.305805 | + | 0.176556i | ||||
\(222\) | 7.89774 | − | 10.0432i | 0.530061 | − | 0.674058i | ||||
\(223\) | 11.6117i | 0.777576i | 0.921327 | + | 0.388788i | \(0.127106\pi\) | ||||
−0.921327 | + | 0.388788i | \(0.872894\pi\) | |||||||
\(224\) | −5.74904 | − | 1.94833i | −0.384124 | − | 0.130178i | ||||
\(225\) | −33.4480 | − | 9.81964i | −2.22987 | − | 0.654643i | ||||
\(226\) | −7.22592 | + | 12.5157i | −0.480661 | + | 0.832530i | ||||
\(227\) | 11.6549 | + | 20.1869i | 0.773563 | + | 1.33985i | 0.935598 | + | 0.353066i | \(0.114861\pi\) |
−0.162035 | + | 0.986785i | \(0.551806\pi\) | |||||||
\(228\) | 1.62645 | + | 4.06241i | 0.107714 | + | 0.269040i | ||||
\(229\) | 7.91707 | + | 4.57092i | 0.523174 | + | 0.302055i | 0.738232 | − | 0.674546i | \(-0.235661\pi\) |
−0.215058 | + | 0.976601i | \(0.568994\pi\) | |||||||
\(230\) | 2.46120 | 0.162287 | ||||||||
\(231\) | 18.1802 | − | 0.983982i | 1.19617 | − | 0.0647413i | ||||
\(232\) | 5.41254 | 0.355351 | ||||||||
\(233\) | 7.35834 | + | 4.24834i | 0.482061 | + | 0.278318i | 0.721275 | − | 0.692649i | \(-0.243556\pi\) |
−0.239214 | + | 0.970967i | \(0.576890\pi\) | |||||||
\(234\) | 0.891248 | + | 3.67308i | 0.0582627 | + | 0.240117i | ||||
\(235\) | 2.49970 | + | 4.32960i | 0.163062 | + | 0.282432i | ||||
\(236\) | 0.147997 | − | 0.256338i | 0.00963378 | − | 0.0166862i | ||||
\(237\) | 0.226986 | − | 1.57897i | 0.0147443 | − | 0.102565i | ||||
\(238\) | 13.1500 | − | 11.5438i | 0.852386 | − | 0.748276i | ||||
\(239\) | − | 11.1177i | − | 0.719141i | −0.933118 | − | 0.359571i | \(-0.882923\pi\) | ||
0.933118 | − | 0.359571i | \(-0.117077\pi\) | |||||||
\(240\) | −16.6755 | − | 13.1132i | −1.07640 | − | 0.846453i | ||||
\(241\) | −16.8355 | + | 9.72000i | −1.08447 | + | 0.626120i | −0.932099 | − | 0.362203i | \(-0.882025\pi\) |
−0.152372 | + | 0.988323i | \(0.548691\pi\) | |||||||
\(242\) | −5.22098 | + | 3.01434i | −0.335617 | + | 0.193769i | ||||
\(243\) | 5.10009 | + | 14.7305i | 0.327171 | + | 0.944965i | ||||
\(244\) | − | 0.248076i | − | 0.0158815i | ||||||
\(245\) | −22.6575 | − | 17.3497i | −1.44753 | − | 1.10843i | ||||
\(246\) | −2.50689 | − | 0.360380i | −0.159833 | − | 0.0229770i | ||||
\(247\) | 3.06096 | − | 5.30173i | 0.194764 | − | 0.337341i | ||||
\(248\) | 7.06747 | + | 12.2412i | 0.448785 | + | 0.777318i | ||||
\(249\) | 11.0222 | − | 4.41292i | 0.698506 | − | 0.279657i | ||||
\(250\) | −29.4460 | − | 17.0006i | −1.86233 | − | 1.07522i | ||||
\(251\) | 18.3467 | 1.15804 | 0.579018 | − | 0.815315i | \(-0.303436\pi\) | ||||
0.579018 | + | 0.815315i | \(0.303436\pi\) | |||||||
\(252\) | 1.38005 | + | 2.97069i | 0.0869350 | + | 0.187136i | ||||
\(253\) | 1.90382 | 0.119692 | ||||||||
\(254\) | 10.5555 | + | 6.09425i | 0.662314 | + | 0.382387i | ||||
\(255\) | −34.4113 | + | 13.7771i | −2.15492 | + | 0.862753i | ||||
\(256\) | 4.72688 | + | 8.18720i | 0.295430 | + | 0.511700i | ||||
\(257\) | 4.97729 | − | 8.62091i | 0.310475 | − | 0.537758i | −0.667991 | − | 0.744170i | \(-0.732845\pi\) |
0.978465 | + | 0.206412i | \(0.0661787\pi\) | |||||||
\(258\) | 11.6469 | + | 1.67431i | 0.725104 | + | 0.104238i | ||||
\(259\) | −15.1916 | + | 3.02968i | −0.943957 | + | 0.188255i | ||||
\(260\) | − | 1.68242i | − | 0.104339i | ||||||
\(261\) | −3.68646 | − | 3.86591i | −0.228186 | − | 0.239294i | ||||
\(262\) | −24.0131 | + | 13.8640i | −1.48354 | + | 0.856520i | ||||
\(263\) | −19.3690 | + | 11.1827i | −1.19434 | + | 0.689553i | −0.959288 | − | 0.282429i | \(-0.908860\pi\) |
−0.235053 | + | 0.971983i | \(0.575526\pi\) | |||||||
\(264\) | −16.4428 | − | 12.9302i | −1.01198 | − | 0.795798i | ||||
\(265\) | − | 4.92545i | − | 0.302568i | ||||||
\(266\) | −6.54978 | + | 19.3268i | −0.401593 | + | 1.18500i | ||||
\(267\) | −0.858322 | + | 5.97068i | −0.0525284 | + | 0.365400i | ||||
\(268\) | −0.870583 | + | 1.50789i | −0.0531793 | + | 0.0921093i | ||||
\(269\) | −14.1909 | − | 24.5793i | −0.865232 | − | 1.49863i | −0.866816 | − | 0.498627i | \(-0.833838\pi\) |
0.00158419 | − | 0.999999i | \(-0.499496\pi\) | |||||||
\(270\) | 2.53866 | + | 26.5677i | 0.154498 | + | 1.61686i | ||||
\(271\) | 5.76746 | + | 3.32984i | 0.350348 | + | 0.202274i | 0.664839 | − | 0.746987i | \(-0.268500\pi\) |
−0.314490 | + | 0.949261i | \(0.601834\pi\) | |||||||
\(272\) | −15.7709 | −0.956249 | ||||||||
\(273\) | 2.07346 | − | 4.08666i | 0.125491 | − | 0.247336i | ||||
\(274\) | −15.2716 | −0.922591 | ||||||||
\(275\) | −39.9812 | − | 23.0832i | −2.41096 | − | 1.39197i | ||||
\(276\) | 0.127308 | + | 0.317979i | 0.00766302 | + | 0.0191401i | ||||
\(277\) | 4.49155 | + | 7.77958i | 0.269871 | + | 0.467430i | 0.968828 | − | 0.247733i | \(-0.0796857\pi\) |
−0.698957 | + | 0.715163i | \(0.746352\pi\) | |||||||
\(278\) | −11.2249 | + | 19.4420i | −0.673223 | + | 1.16606i | ||||
\(279\) | 3.92967 | − | 13.3854i | 0.235263 | − | 0.801361i | ||||
\(280\) | 6.41239 | + | 32.1533i | 0.383214 | + | 1.92153i | ||||
\(281\) | 15.7713i | 0.940839i | 0.882443 | + | 0.470420i | \(0.155897\pi\) | ||||
−0.882443 | + | 0.470420i | \(0.844103\pi\) | |||||||
\(282\) | 1.65418 | − | 2.10356i | 0.0985052 | − | 0.125265i | ||||
\(283\) | 11.7661 | − | 6.79318i | 0.699424 | − | 0.403813i | −0.107709 | − | 0.994182i | \(-0.534351\pi\) |
0.807133 | + | 0.590370i | \(0.201018\pi\) | |||||||
\(284\) | −0.972928 | + | 0.561720i | −0.0577327 | + | 0.0333320i | ||||
\(285\) | 26.7208 | − | 33.9798i | 1.58280 | − | 2.01279i | ||||
\(286\) | 5.00559i | 0.295987i | ||||||||
\(287\) | 2.02579 | + | 2.30764i | 0.119578 | + | 0.136216i | ||||
\(288\) | 1.93887 | − | 6.60424i | 0.114249 | − | 0.389159i | ||||
\(289\) | −5.27810 | + | 9.14193i | −0.310476 | + | 0.537761i | ||||
\(290\) | −4.57282 | − | 7.92036i | −0.268525 | − | 0.465100i | ||||
\(291\) | 3.97837 | + | 9.93687i | 0.233216 | + | 0.582509i | ||||
\(292\) | −3.73722 | − | 2.15769i | −0.218704 | − | 0.126269i | ||||
\(293\) | −2.31675 | −0.135346 | −0.0676730 | − | 0.997708i | \(-0.521557\pi\) | ||||
−0.0676730 | + | 0.997708i | \(0.521557\pi\) | |||||||
\(294\) | −4.11382 | + | 14.7109i | −0.239923 | + | 0.857959i | ||||
\(295\) | −2.92400 | −0.170242 | ||||||||
\(296\) | 15.4129 | + | 8.89866i | 0.895859 | + | 0.517224i | ||||
\(297\) | 1.96373 | + | 20.5509i | 0.113947 | + | 1.19249i | ||||
\(298\) | 11.5401 | + | 19.9880i | 0.668498 | + | 1.15787i | ||||
\(299\) | 0.239592 | − | 0.414985i | 0.0138559 | − | 0.0239992i | ||||
\(300\) | 1.18186 | − | 8.22130i | 0.0682348 | − | 0.474657i | ||||
\(301\) | −9.41173 | − | 10.7212i | −0.542483 | − | 0.617961i | ||||
\(302\) | − | 28.4233i | − | 1.63558i | ||||||
\(303\) | 20.5064 | + | 16.1257i | 1.17806 | + | 0.926396i | ||||
\(304\) | 15.9281 | − | 9.19608i | 0.913538 | − | 0.527431i | ||||
\(305\) | −2.12231 | + | 1.22532i | −0.121523 | + | 0.0701615i | ||||
\(306\) | 13.6924 | + | 14.3590i | 0.782745 | + | 0.820848i | ||||
\(307\) | 8.37962i | 0.478250i | 0.970989 | + | 0.239125i | \(0.0768606\pi\) | ||||
−0.970989 | + | 0.239125i | \(0.923139\pi\) | |||||||
\(308\) | 0.848433 | + | 4.25425i | 0.0483440 | + | 0.242409i | ||||
\(309\) | 3.16749 | + | 0.455345i | 0.180192 | + | 0.0259037i | ||||
\(310\) | 11.9420 | − | 20.6842i | 0.678260 | − | 1.17478i | ||||
\(311\) | 0.605170 | + | 1.04819i | 0.0343161 | + | 0.0594372i | 0.882673 | − | 0.469987i | \(-0.155741\pi\) |
−0.848357 | + | 0.529424i | \(0.822408\pi\) | |||||||
\(312\) | −4.88775 | + | 1.95688i | −0.276715 | + | 0.110787i | ||||
\(313\) | −17.8410 | − | 10.3005i | −1.00843 | − | 0.582219i | −0.0977007 | − | 0.995216i | \(-0.531149\pi\) |
−0.910733 | + | 0.412997i | \(0.864482\pi\) | |||||||
\(314\) | 16.6756 | 0.941061 | ||||||||
\(315\) | 18.5981 | − | 26.4795i | 1.04788 | − | 1.49195i | ||||
\(316\) | 0.380080 | 0.0213812 | ||||||||
\(317\) | 23.9486 | + | 13.8267i | 1.34509 | + | 0.776586i | 0.987549 | − | 0.157312i | \(-0.0502830\pi\) |
0.357538 | + | 0.933899i | \(0.383616\pi\) | |||||||
\(318\) | −2.44760 | + | 0.979933i | −0.137255 | + | 0.0549519i | ||||
\(319\) | −3.53722 | − | 6.12665i | −0.198047 | − | 0.343027i | ||||
\(320\) | 18.1399 | − | 31.4193i | 1.01405 | − | 1.75639i | ||||
\(321\) | −21.0719 | − | 3.02922i | −1.17612 | − | 0.169075i | ||||
\(322\) | −0.512674 | + | 1.51277i | −0.0285702 | + | 0.0843035i | ||||
\(323\) | − | 32.1364i | − | 1.78811i | ||||||
\(324\) | −3.30114 | + | 1.70222i | −0.183397 | + | 0.0945679i | ||||
\(325\) | −10.0631 | + | 5.80994i | −0.558201 | + | 0.322277i | ||||
\(326\) | −10.4296 | + | 6.02153i | −0.577642 | + | 0.333502i | ||||
\(327\) | −3.42550 | − | 2.69372i | −0.189430 | − | 0.148963i | ||||
\(328\) | − | 3.52790i | − | 0.194796i | ||||||
\(329\) | −3.18188 | + | 0.634567i | −0.175423 | + | 0.0349848i | ||||
\(330\) | −5.02937 | + | 34.9855i | −0.276858 | + | 1.92589i | ||||
\(331\) | 11.2983 | − | 19.5693i | 0.621012 | − | 1.07562i | −0.368285 | − | 0.929713i | \(-0.620055\pi\) |
0.989298 | − | 0.145912i | \(-0.0466117\pi\) | |||||||
\(332\) | 1.41443 | + | 2.44987i | 0.0776272 | + | 0.134454i | ||||
\(333\) | −4.14181 | − | 17.0695i | −0.226970 | − | 0.935404i | ||||
\(334\) | −4.91840 | − | 2.83964i | −0.269123 | − | 0.155378i | ||||
\(335\) | 17.2002 | 0.939748 | ||||||||
\(336\) | 11.5336 | − | 7.51807i | 0.629207 | − | 0.410144i | ||||
\(337\) | −14.6351 | −0.797226 | −0.398613 | − | 0.917119i | \(-0.630508\pi\) | ||||
−0.398613 | + | 0.917119i | \(0.630508\pi\) | |||||||
\(338\) | 1.09109 | + | 0.629943i | 0.0593477 | + | 0.0342644i | ||||
\(339\) | 7.38456 | + | 18.4446i | 0.401074 | + | 1.00177i | ||||
\(340\) | −4.41584 | − | 7.64847i | −0.239483 | − | 0.414796i | ||||
\(341\) | 9.23752 | − | 15.9999i | 0.500240 | − | 0.866441i | ||||
\(342\) | −22.2017 | − | 6.51797i | −1.20053 | − | 0.352451i | ||||
\(343\) | 15.3836 | − | 10.3124i | 0.830636 | − | 0.556816i | ||||
\(344\) | 16.3905i | 0.883717i | ||||||||
\(345\) | 2.09153 | − | 2.65972i | 0.112604 | − | 0.143194i | ||||
\(346\) | 15.6694 | − | 9.04675i | 0.842394 | − | 0.486356i | ||||
\(347\) | 10.7104 | − | 6.18367i | 0.574966 | − | 0.331957i | −0.184164 | − | 0.982895i | \(-0.558958\pi\) |
0.759130 | + | 0.650939i | \(0.225624\pi\) | |||||||
\(348\) | 0.786752 | − | 1.00048i | 0.0421743 | − | 0.0536314i | ||||
\(349\) | 26.7056i | 1.42952i | 0.699372 | + | 0.714758i | \(0.253463\pi\) | ||||
−0.699372 | + | 0.714758i | \(0.746537\pi\) | |||||||
\(350\) | 29.1083 | − | 25.5530i | 1.55590 | − | 1.36587i | ||||
\(351\) | 4.72673 | + | 2.15825i | 0.252294 | + | 0.115199i | ||||
\(352\) | 4.55772 | − | 7.89421i | 0.242928 | − | 0.420763i | ||||
\(353\) | −15.3376 | − | 26.5655i | −0.816337 | − | 1.41394i | −0.908364 | − | 0.418181i | \(-0.862668\pi\) |
0.0920268 | − | 0.995757i | \(-0.470665\pi\) | |||||||
\(354\) | 0.581737 | + | 1.45302i | 0.0309190 | + | 0.0772270i | ||||
\(355\) | 9.61113 | + | 5.54899i | 0.510106 | + | 0.294510i | ||||
\(356\) | −1.43723 | −0.0761728 | ||||||||
\(357\) | −1.30009 | − | 24.0206i | −0.0688081 | − | 1.27131i | ||||
\(358\) | −2.49796 | −0.132022 | ||||||||
\(359\) | −24.2568 | − | 14.0047i | −1.28023 | − | 0.739139i | −0.303336 | − | 0.952884i | \(-0.598101\pi\) |
−0.976890 | + | 0.213745i | \(0.931434\pi\) | |||||||
\(360\) | −36.1281 | + | 8.76624i | −1.90412 | + | 0.462022i | ||||
\(361\) | 9.23889 | + | 16.0022i | 0.486257 | + | 0.842223i | ||||
\(362\) | −0.555551 | + | 0.962243i | −0.0291991 | + | 0.0505744i | ||||
\(363\) | −1.17933 | + | 8.20369i | −0.0618988 | + | 0.430582i | ||||
\(364\) | 1.03410 | + | 0.350452i | 0.0542013 | + | 0.0183687i | ||||
\(365\) | 42.6297i | 2.23134i | ||||||||
\(366\) | 1.03114 | + | 0.810859i | 0.0538984 | + | 0.0423843i | ||||
\(367\) | 8.33427 | − | 4.81179i | 0.435045 | − | 0.251174i | −0.266448 | − | 0.963849i | \(-0.585850\pi\) |
0.701494 | + | 0.712676i | \(0.252517\pi\) | |||||||
\(368\) | 1.24675 | − | 0.719809i | 0.0649911 | − | 0.0375227i | ||||
\(369\) | −2.51980 | + | 2.40284i | −0.131176 | + | 0.125087i | ||||
\(370\) | − | 30.0724i | − | 1.56339i | ||||||
\(371\) | 3.02742 | + | 1.02598i | 0.157176 | + | 0.0532664i | ||||
\(372\) | 3.29004 | + | 0.472963i | 0.170580 | + | 0.0245220i | ||||
\(373\) | 17.8471 | − | 30.9120i | 0.924086 | − | 1.60056i | 0.131060 | − | 0.991374i | \(-0.458162\pi\) |
0.793025 | − | 0.609189i | \(-0.208505\pi\) | |||||||
\(374\) | 13.1382 | + | 22.7560i | 0.679358 | + | 1.17668i | ||||
\(375\) | −43.3951 | + | 17.3739i | −2.24092 | + | 0.897184i | ||||
\(376\) | 3.22824 | + | 1.86383i | 0.166484 | + | 0.0961196i | ||||
\(377\) | −1.78061 | −0.0917061 | ||||||||
\(378\) | −16.8586 | − | 3.97373i | −0.867112 | − | 0.204387i | ||||
\(379\) | 27.9756 | 1.43701 | 0.718504 | − | 0.695523i | \(-0.244827\pi\) | ||||
0.718504 | + | 0.695523i | \(0.244827\pi\) | |||||||
\(380\) | 8.91973 | + | 5.14981i | 0.457572 | + | 0.264180i | ||||
\(381\) | 15.5559 | − | 6.22804i | 0.796954 | − | 0.319072i | ||||
\(382\) | −2.93779 | − | 5.08841i | −0.150311 | − | 0.260345i | ||||
\(383\) | 9.67462 | − | 16.7569i | 0.494350 | − | 0.856239i | −0.505629 | − | 0.862751i | \(-0.668739\pi\) |
0.999979 | + | 0.00651193i | \(0.00207283\pi\) | |||||||
\(384\) | −11.3553 | − | 1.63239i | −0.579471 | − | 0.0833025i | ||||
\(385\) | 32.2049 | − | 28.2714i | 1.64131 | − | 1.44084i | ||||
\(386\) | − | 5.10330i | − | 0.259751i | ||||||
\(387\) | 11.7069 | − | 11.1635i | 0.595096 | − | 0.567472i | ||||
\(388\) | −2.20863 | + | 1.27515i | −0.112126 | + | 0.0647361i | ||||
\(389\) | −17.5987 | + | 10.1606i | −0.892291 | + | 0.515165i | −0.874691 | − | 0.484680i | \(-0.838936\pi\) |
−0.0176001 | + | 0.999845i | \(0.505603\pi\) | |||||||
\(390\) | 6.99303 | + | 5.49913i | 0.354106 | + | 0.278459i | ||||
\(391\) | − | 2.51542i | − | 0.127210i | ||||||
\(392\) | −21.0987 | − | 2.75626i | −1.06565 | − | 0.139212i | ||||
\(393\) | −5.42415 | + | 37.7316i | −0.273612 | + | 1.90331i | ||||
\(394\) | 7.41801 | − | 12.8484i | 0.373714 | − | 0.647292i | ||||
\(395\) | −1.87732 | − | 3.25162i | −0.0944583 | − | 0.163607i | ||||
\(396\) | −4.78016 | + | 1.15987i | −0.240212 | + | 0.0582859i | ||||
\(397\) | 17.1380 | + | 9.89460i | 0.860129 | + | 0.496596i | 0.864056 | − | 0.503396i | \(-0.167916\pi\) |
−0.00392632 | + | 0.999992i | \(0.501250\pi\) | |||||||
\(398\) | −6.85312 | −0.343516 | ||||||||
\(399\) | 15.3196 | + | 23.5020i | 0.766940 | + | 1.17657i | ||||
\(400\) | −34.9098 | −1.74549 | ||||||||
\(401\) | 13.3689 | + | 7.71851i | 0.667609 | + | 0.385444i | 0.795170 | − | 0.606387i | \(-0.207382\pi\) |
−0.127561 | + | 0.991831i | \(0.540715\pi\) | |||||||
\(402\) | −3.42203 | − | 8.54729i | −0.170676 | − | 0.426300i | ||||
\(403\) | −2.32505 | − | 4.02710i | −0.115819 | − | 0.200604i | ||||
\(404\) | −3.10785 | + | 5.38295i | −0.154621 | + | 0.267812i | ||||
\(405\) | 30.8679 | + | 19.8338i | 1.53384 | + | 0.985551i | ||||
\(406\) | 5.82077 | − | 1.16085i | 0.288880 | − | 0.0576118i | ||||
\(407\) | − | 23.2619i | − | 1.15305i | ||||||
\(408\) | −17.0840 | + | 21.7251i | −0.845786 | + | 1.07555i | ||||
\(409\) | −33.7777 | + | 19.5016i | −1.67020 | + | 0.964290i | −0.702675 | + | 0.711511i | \(0.748011\pi\) |
−0.967524 | + | 0.252779i | \(0.918656\pi\) | |||||||
\(410\) | −5.16250 | + | 2.98057i | −0.254958 | + | 0.147200i | ||||
\(411\) | −12.9778 | + | 16.5034i | −0.640149 | + | 0.814052i | ||||
\(412\) | 0.762458i | 0.0375636i | ||||||||
\(413\) | 0.609076 | − | 1.79723i | 0.0299707 | − | 0.0884358i | ||||
\(414\) | −1.73781 | − | 0.510184i | −0.0854086 | − | 0.0250742i | ||||
\(415\) | 13.9726 | − | 24.2012i | 0.685887 | − | 1.18799i | ||||
\(416\) | −1.14716 | − | 1.98694i | −0.0562442 | − | 0.0974178i | ||||
\(417\) | 11.4713 | + | 28.6521i | 0.561752 | + | 1.40310i | ||||
\(418\) | −26.5383 | − | 15.3219i | −1.29803 | − | 0.749417i | ||||
\(419\) | −25.2894 | −1.23547 | −0.617733 | − | 0.786388i | \(-0.711949\pi\) | ||||
−0.617733 | + | 0.786388i | \(0.711949\pi\) | |||||||
\(420\) | 6.87547 | + | 3.48842i | 0.335489 | + | 0.170217i | ||||
\(421\) | −1.86934 | −0.0911058 | −0.0455529 | − | 0.998962i | \(-0.514505\pi\) | ||||
−0.0455529 | + | 0.998962i | \(0.514505\pi\) | |||||||
\(422\) | 4.22073 | + | 2.43684i | 0.205462 | + | 0.118623i | ||||
\(423\) | −0.867503 | − | 3.57522i | −0.0421794 | − | 0.173833i | ||||
\(424\) | −1.83626 | − | 3.18050i | −0.0891767 | − | 0.154459i | ||||
\(425\) | −30.4987 | + | 52.8253i | −1.47940 | + | 2.56240i | ||||
\(426\) | 0.845291 | − | 5.88004i | 0.0409545 | − | 0.284889i | ||||
\(427\) | −0.311056 | − | 1.55971i | −0.0150531 | − | 0.0754798i | ||||
\(428\) | − | 5.07231i | − | 0.245179i | ||||||
\(429\) | 5.40933 | + | 4.25375i | 0.261165 | + | 0.205373i | ||||
\(430\) | 23.9848 | − | 13.8476i | 1.15665 | − | 0.667792i | ||||
\(431\) | 28.9918 | − | 16.7385i | 1.39649 | − | 0.806263i | 0.402465 | − | 0.915435i | \(-0.368153\pi\) |
0.994023 | + | 0.109172i | \(0.0348201\pi\) | |||||||
\(432\) | 9.05604 | + | 12.7157i | 0.435709 | + | 0.611783i | ||||
\(433\) | − | 13.6296i | − | 0.654998i | −0.944851 | − | 0.327499i | \(-0.893794\pi\) | ||
0.944851 | − | 0.327499i | \(-0.106206\pi\) | |||||||
\(434\) | 10.2259 | + | 11.6487i | 0.490860 | + | 0.559155i | ||||
\(435\) | −12.4452 | − | 1.78907i | −0.596702 | − | 0.0857795i | ||||
\(436\) | 0.519151 | − | 0.899196i | 0.0248628 | − | 0.0430637i | ||||
\(437\) | 1.46676 | + | 2.54050i | 0.0701646 | + | 0.121529i | ||||
\(438\) | 21.1839 | − | 8.48130i | 1.01221 | − | 0.405252i | ||||
\(439\) | −31.3548 | − | 18.1027i | −1.49648 | − | 0.863994i | −0.496490 | − | 0.868042i | \(-0.665378\pi\) |
−0.999992 | + | 0.00404823i | \(0.998711\pi\) | |||||||
\(440\) | −49.2345 | −2.34716 | ||||||||
\(441\) | 12.4016 | + | 16.9470i | 0.590551 | + | 0.807001i | ||||
\(442\) | 6.61365 | 0.314579 | ||||||||
\(443\) | 11.5323 | + | 6.65820i | 0.547918 | + | 0.316341i | 0.748282 | − | 0.663381i | \(-0.230879\pi\) |
−0.200364 | + | 0.979722i | \(0.564212\pi\) | |||||||
\(444\) | 3.88526 | − | 1.55552i | 0.184386 | − | 0.0738217i | ||||
\(445\) | 7.09886 | + | 12.2956i | 0.336518 | + | 0.582867i | ||||
\(446\) | 7.31470 | − | 12.6694i | 0.346361 | − | 0.599915i | ||||
\(447\) | 31.4069 | + | 4.51494i | 1.48550 | + | 0.213549i | ||||
\(448\) | 15.5332 | + | 17.6944i | 0.733876 | + | 0.835982i | ||||
\(449\) | − | 7.77459i | − | 0.366906i | −0.983029 | − | 0.183453i | \(-0.941273\pi\) | ||
0.983029 | − | 0.183453i | \(-0.0587274\pi\) | |||||||
\(450\) | 30.3091 | + | 31.7845i | 1.42878 | + | 1.49834i | ||||
\(451\) | −3.99336 | + | 2.30557i | −0.188040 | + | 0.108565i | ||||
\(452\) | −4.09961 | + | 2.36691i | −0.192830 | + | 0.111330i | ||||
\(453\) | −30.7159 | − | 24.1542i | −1.44316 | − | 1.13486i | ||||
\(454\) | − | 29.3677i | − | 1.37830i | ||||||
\(455\) | −2.10954 | − | 10.5778i | −0.0988968 | − | 0.495893i | ||||
\(456\) | 4.58632 | − | 31.9035i | 0.214774 | − | 1.49402i | ||||
\(457\) | −4.36016 | + | 7.55202i | −0.203960 | + | 0.353269i | −0.949801 | − | 0.312855i | \(-0.898715\pi\) |
0.745841 | + | 0.666124i | \(0.232048\pi\) | |||||||
\(458\) | −5.75884 | − | 9.97460i | −0.269093 | − | 0.466083i | ||||
\(459\) | 27.1530 | − | 2.59459i | 1.26739 | − | 0.121105i | ||||
\(460\) | 0.698178 | + | 0.403093i | 0.0325527 | + | 0.0187943i | ||||
\(461\) | −40.3037 | −1.87713 | −0.938566 | − | 0.345100i | \(-0.887845\pi\) | ||||
−0.938566 | + | 0.345100i | \(0.887845\pi\) | |||||||
\(462\) | −20.4561 | − | 10.3789i | −0.951705 | − | 0.482868i | ||||
\(463\) | −33.4254 | −1.55341 | −0.776706 | − | 0.629864i | \(-0.783111\pi\) | ||||
−0.776706 | + | 0.629864i | \(0.783111\pi\) | |||||||
\(464\) | −4.63282 | − | 2.67476i | −0.215073 | − | 0.124173i | ||||
\(465\) | −12.2042 | − | 30.4827i | −0.565956 | − | 1.41360i | ||||
\(466\) | −5.35243 | − | 9.27067i | −0.247946 | − | 0.429456i | ||||
\(467\) | −2.15646 | + | 3.73509i | −0.0997888 | + | 0.172839i | −0.911597 | − | 0.411085i | \(-0.865150\pi\) |
0.811808 | + | 0.583924i | \(0.198483\pi\) | |||||||
\(468\) | −0.348750 | + | 1.18792i | −0.0161210 | + | 0.0549118i | ||||
\(469\) | −3.58285 | + | 10.5721i | −0.165441 | + | 0.488173i | ||||
\(470\) | − | 6.29867i | − | 0.290536i | ||||||
\(471\) | 14.1710 | − | 18.0207i | 0.652964 | − | 0.830349i | ||||
\(472\) | −1.88810 | + | 1.09010i | −0.0869070 | + | 0.0501758i | ||||
\(473\) | 18.5530 | − | 10.7116i | 0.853068 | − | 0.492519i | ||||
\(474\) | −1.24232 | + | 1.57981i | −0.0570618 | + | 0.0725633i | ||||
\(475\) | − | 71.1359i | − | 3.26394i | ||||||
\(476\) | 5.62095 | − | 1.12100i | 0.257636 | − | 0.0513807i | ||||
\(477\) | −1.02100 | + | 3.47777i | −0.0467484 | + | 0.159236i | ||||
\(478\) | −7.00349 | + | 12.1304i | −0.320332 | + | 0.554832i | ||||
\(479\) | 11.5911 | + | 20.0763i | 0.529610 | + | 0.917312i | 0.999403 | + | 0.0345352i | \(0.0109951\pi\) |
−0.469793 | + | 0.882776i | \(0.655672\pi\) | |||||||
\(480\) | −6.02145 | − | 15.0399i | −0.274841 | − | 0.686475i | ||||
\(481\) | −5.07053 | − | 2.92747i | −0.231196 | − | 0.133481i | ||||
\(482\) | 24.4922 | 1.11559 | ||||||||
\(483\) | 1.19912 | + | 1.83958i | 0.0545618 | + | 0.0837039i | ||||
\(484\) | −1.97474 | −0.0897610 | ||||||||
\(485\) | 21.8181 | + | 12.5967i | 0.990709 | + | 0.571986i | ||||
\(486\) | 3.71474 | − | 19.2852i | 0.168504 | − | 0.874793i | ||||
\(487\) | 14.3111 | + | 24.7875i | 0.648496 | + | 1.12323i | 0.983482 | + | 0.181005i | \(0.0579350\pi\) |
−0.334986 | + | 0.942223i | \(0.608732\pi\) | |||||||
\(488\) | −0.913624 | + | 1.58244i | −0.0413578 | + | 0.0716338i | ||||
\(489\) | −2.35587 | + | 16.3879i | −0.106536 | + | 0.741088i | ||||
\(490\) | 13.7921 | + | 33.2031i | 0.623062 | + | 1.49996i | ||||
\(491\) | 32.2316i | 1.45459i | 0.686325 | + | 0.727295i | \(0.259223\pi\) | ||||
−0.686325 | + | 0.727295i | \(0.740777\pi\) | |||||||
\(492\) | −0.652115 | − | 0.512806i | −0.0293996 | − | 0.0231191i | ||||
\(493\) | −8.09486 | + | 4.67357i | −0.364574 | + | 0.210487i | ||||
\(494\) | −6.67958 | + | 3.85646i | −0.300528 | + | 0.173510i | ||||
\(495\) | 33.5334 | + | 35.1657i | 1.50721 | + | 1.58058i | ||||
\(496\) | − | 13.9704i | − | 0.627288i | ||||||
\(497\) | −5.41270 | + | 4.75160i | −0.242793 | + | 0.213138i | ||||
\(498\) | −14.8062 | − | 2.12848i | −0.663481 | − | 0.0953794i | ||||
\(499\) | −3.57473 | + | 6.19161i | −0.160027 | + | 0.277174i | −0.934878 | − | 0.354969i | \(-0.884491\pi\) |
0.774851 | + | 0.632144i | \(0.217825\pi\) | |||||||
\(500\) | −5.56870 | − | 9.64528i | −0.249040 | − | 0.431350i | ||||
\(501\) | −7.24834 | + | 2.90198i | −0.323832 | + | 0.129651i | ||||
\(502\) | −20.0180 | − | 11.5574i | −0.893448 | − | 0.515832i | ||||
\(503\) | 14.5753 | 0.649881 | 0.324940 | − | 0.945735i | \(-0.394656\pi\) | ||||
0.324940 | + | 0.945735i | \(0.394656\pi\) | |||||||
\(504\) | 2.13742 | − | 24.0321i | 0.0952081 | − | 1.07047i | ||||
\(505\) | 61.4021 | 2.73236 | ||||||||
\(506\) | −2.07724 | − | 1.19930i | −0.0923447 | − | 0.0533152i | ||||
\(507\) | 1.60797 | − | 0.643773i | 0.0714123 | − | 0.0285910i | ||||
\(508\) | 1.99622 | + | 3.45756i | 0.0885680 | + | 0.153404i | ||||
\(509\) | −12.0120 | + | 20.8054i | −0.532423 | + | 0.922184i | 0.466860 | + | 0.884331i | \(0.345385\pi\) |
−0.999283 | + | 0.0378526i | \(0.987948\pi\) | |||||||
\(510\) | 46.2247 | + | 6.64508i | 2.04686 | + | 0.294249i | ||||
\(511\) | −26.2023 | − | 8.87987i | −1.15912 | − | 0.392822i | ||||
\(512\) | − | 25.1574i | − | 1.11181i | ||||||
\(513\) | −25.9108 | + | 18.4535i | −1.14399 | + | 0.814743i | ||||
\(514\) | −10.8614 | + | 6.27082i | −0.479075 | + | 0.276594i | ||||
\(515\) | 6.52289 | − | 3.76599i | 0.287433 | − | 0.165950i | ||||
\(516\) | 3.02970 | + | 2.38248i | 0.133375 | + | 0.104883i | ||||
\(517\) | − | 4.87222i | − | 0.214280i | ||||||
\(518\) | 18.4839 | + | 6.26415i | 0.812137 | + | 0.275231i | ||||
\(519\) | 3.53945 | − | 24.6212i | 0.155365 | − | 1.08075i | ||||
\(520\) | −6.19607 | + | 10.7319i | −0.271716 | + | 0.470625i | ||||
\(521\) | −16.0382 | − | 27.7789i | −0.702645 | − | 1.21702i | −0.967535 | − | 0.252738i | \(-0.918669\pi\) |
0.264890 | − | 0.964279i | \(-0.414664\pi\) | |||||||
\(522\) | 1.58697 | + | 6.54032i | 0.0694596 | + | 0.286262i | ||||
\(523\) | 12.4987 | + | 7.21615i | 0.546532 | + | 0.315540i | 0.747722 | − | 0.664012i | \(-0.231148\pi\) |
−0.201190 | + | 0.979552i | \(0.564481\pi\) | |||||||
\(524\) | −9.08253 | −0.396772 | ||||||||
\(525\) | −2.87783 | − | 53.1712i | −0.125599 | − | 2.32058i | ||||
\(526\) | 28.1778 | 1.22861 | ||||||||
\(527\) | −21.1399 | − | 12.2051i | −0.920867 | − | 0.531663i | ||||
\(528\) | 7.68426 | + | 19.1932i | 0.334415 | + | 0.835275i | ||||
\(529\) | −11.3852 | − | 19.7197i | −0.495008 | − | 0.857380i | ||||
\(530\) | −3.10275 | + | 5.37413i | −0.134775 | + | 0.233437i | ||||
\(531\) | 2.06458 | + | 0.606117i | 0.0895951 | + | 0.0263032i | ||||
\(532\) | −5.02332 | + | 4.40978i | −0.217789 | + | 0.191188i | ||||
\(533\) | 1.16060i | 0.0502714i | ||||||||
\(534\) | 4.69770 | − | 5.97388i | 0.203289 | − | 0.258515i | ||||
\(535\) | −43.3941 | + | 25.0536i | −1.87609 | + | 1.08316i | ||||
\(536\) | 11.1066 | − | 6.41242i | 0.479734 | − | 0.276975i | ||||
\(537\) | −2.12277 | + | 2.69945i | −0.0916044 | + | 0.116490i | ||||
\(538\) | 35.7578i | 1.54163i | ||||||||
\(539\) | 10.6686 | + | 25.6837i | 0.459529 | + | 1.10627i | ||||
\(540\) | −3.63108 | + | 7.95233i | −0.156257 | + | 0.342214i | ||||
\(541\) | −2.59499 | + | 4.49465i | −0.111567 | + | 0.193240i | −0.916402 | − | 0.400258i | \(-0.868920\pi\) |
0.804835 | + | 0.593498i | \(0.202254\pi\) | |||||||
\(542\) | −4.19522 | − | 7.26634i | −0.180200 | − | 0.312116i | ||||
\(543\) | 0.567748 | + | 1.41808i | 0.0243644 | + | 0.0608555i | ||||
\(544\) | −10.4303 | − | 6.02191i | −0.447193 | − | 0.258187i | ||||
\(545\) | −10.2569 | −0.439359 | ||||||||
\(546\) | −4.83670 | + | 3.15277i | −0.206992 | + | 0.134926i | ||||
\(547\) | −24.5746 | −1.05073 | −0.525367 | − | 0.850876i | \(-0.676072\pi\) | ||||
−0.525367 | + | 0.850876i | \(0.676072\pi\) | |||||||
\(548\) | −4.33215 | − | 2.50117i | −0.185060 | − | 0.106845i | ||||
\(549\) | 1.75252 | − | 0.425238i | 0.0747959 | − | 0.0181487i | ||||
\(550\) | 29.0822 | + | 50.3718i | 1.24007 | + | 2.14786i | ||||
\(551\) | 5.45037 | − | 9.44032i | 0.232194 | − | 0.402171i | ||||
\(552\) | 0.358987 | − | 2.49720i | 0.0152795 | − | 0.106288i | ||||
\(553\) | 2.38965 | − | 0.476572i | 0.101618 | − | 0.0202659i | ||||
\(554\) | − | 11.3177i | − | 0.480842i | ||||||
\(555\) | −32.4980 | − | 25.5555i | −1.37946 | − | 1.08477i | ||||
\(556\) | −6.36840 | + | 3.67680i | −0.270080 | + | 0.155931i | ||||
\(557\) | −3.07124 | + | 1.77318i | −0.130133 | + | 0.0751322i | −0.563653 | − | 0.826012i | \(-0.690605\pi\) |
0.433520 | + | 0.901144i | \(0.357271\pi\) | |||||||
\(558\) | −12.7197 | + | 12.1292i | −0.538466 | + | 0.513471i | ||||
\(559\) | − | 5.39213i | − | 0.228063i | ||||||
\(560\) | 10.4008 | − | 30.6902i | 0.439516 | − | 1.29690i | ||||
\(561\) | 35.7563 | + | 5.14018i | 1.50963 | + | 0.217019i | ||||
\(562\) | 9.93505 | − | 17.2080i | 0.419085 | − | 0.725876i | ||||
\(563\) | −5.07878 | − | 8.79670i | −0.214045 | − | 0.370737i | 0.738932 | − | 0.673780i | \(-0.235331\pi\) |
−0.952977 | + | 0.303044i | \(0.901997\pi\) | |||||||
\(564\) | 0.813768 | − | 0.325804i | 0.0342658 | − | 0.0137188i | ||||
\(565\) | 40.4983 | + | 23.3817i | 1.70378 | + | 0.983675i | ||||
\(566\) | −17.1173 | −0.719492 | ||||||||
\(567\) | −18.6207 | + | 14.8415i | −0.781996 | + | 0.623284i | ||||
\(568\) | 8.27489 | 0.347207 | ||||||||
\(569\) | −9.05473 | − | 5.22775i | −0.379594 | − | 0.219159i | 0.298048 | − | 0.954551i | \(-0.403665\pi\) |
−0.677642 | + | 0.735392i | \(0.736998\pi\) | |||||||
\(570\) | −50.5603 | + | 20.2425i | −2.11774 | + | 0.847867i | ||||
\(571\) | 15.8385 | + | 27.4332i | 0.662823 | + | 1.14804i | 0.979871 | + | 0.199633i | \(0.0639750\pi\) |
−0.317048 | + | 0.948409i | \(0.602692\pi\) | |||||||
\(572\) | −0.819811 | + | 1.41995i | −0.0342780 | + | 0.0593713i | ||||
\(573\) | −7.99537 | − | 1.14938i | −0.334011 | − | 0.0480162i | ||||
\(574\) | −0.756640 | − | 3.79398i | −0.0315816 | − | 0.158358i | ||||
\(575\) | − | 5.56805i | − | 0.232204i | ||||||
\(576\) | −19.3212 | + | 18.4243i | −0.805050 | + | 0.767681i | ||||
\(577\) | 4.94580 | − | 2.85546i | 0.205896 | − | 0.118874i | −0.393507 | − | 0.919322i | \(-0.628738\pi\) |
0.599403 | + | 0.800448i | \(0.295405\pi\) | |||||||
\(578\) | 11.5178 | − | 6.64980i | 0.479077 | − | 0.276595i | ||||
\(579\) | −5.51493 | − | 4.33680i | −0.229193 | − | 0.180231i | ||||
\(580\) | − | 2.99573i | − | 0.124391i | ||||||
\(581\) | 11.9647 | + | 13.6294i | 0.496380 | + | 0.565443i | ||||
\(582\) | 1.91888 | − | 13.3482i | 0.0795403 | − | 0.553301i | ||||
\(583\) | −2.40008 | + | 4.15706i | −0.0994011 | + | 0.172168i | ||||
\(584\) | 15.8928 | + | 27.5271i | 0.657649 | + | 1.13908i | ||||
\(585\) | 11.8854 | − | 2.88391i | 0.491400 | − | 0.119235i | ||||
\(586\) | 2.52779 | + | 1.45942i | 0.104422 | + | 0.0602881i | ||||
\(587\) | −20.5674 | −0.848908 | −0.424454 | − | 0.905450i | \(-0.639534\pi\) | ||||
−0.424454 | + | 0.905450i | \(0.639534\pi\) | |||||||
\(588\) | −3.57633 | + | 3.49935i | −0.147485 | + | 0.144311i | ||||
\(589\) | 28.4675 | 1.17298 | ||||||||
\(590\) | 3.19035 | + | 1.84195i | 0.131345 | + | 0.0758319i | ||||
\(591\) | −7.58087 | − | 18.9349i | −0.311835 | − | 0.778878i | ||||
\(592\) | −8.79505 | − | 15.2335i | −0.361474 | − | 0.626092i | ||||
\(593\) | −15.9774 | + | 27.6736i | −0.656112 | + | 1.13642i | 0.325502 | + | 0.945541i | \(0.394467\pi\) |
−0.981614 | + | 0.190878i | \(0.938867\pi\) | |||||||
\(594\) | 10.8033 | − | 23.6600i | 0.443265 | − | 0.970783i | ||||
\(595\) | −37.3537 | − | 42.5508i | −1.53135 | − | 1.74441i | ||||
\(596\) | 7.56009i | 0.309673i | ||||||||
\(597\) | −5.82379 | + | 7.40588i | −0.238352 | + | 0.303102i | ||||
\(598\) | −0.522834 | + | 0.301858i | −0.0213803 | + | 0.0123439i | ||||
\(599\) | 21.5906 | − | 12.4653i | 0.882169 | − | 0.509320i | 0.0107957 | − | 0.999942i | \(-0.496564\pi\) |
0.871373 | + | 0.490621i | \(0.163230\pi\) | |||||||
\(600\) | −37.8166 | + | 48.0899i | −1.54386 | + | 1.96326i | ||||
\(601\) | 1.19841i | 0.0488843i | 0.999701 | + | 0.0244421i | \(0.00778095\pi\) | ||||
−0.999701 | + | 0.0244421i | \(0.992219\pi\) | |||||||
\(602\) | 3.51533 | + | 17.6267i | 0.143274 | + | 0.718411i | ||||
\(603\) | −12.1448 | − | 3.56545i | −0.494573 | − | 0.145196i | ||||
\(604\) | 4.65515 | − | 8.06295i | 0.189415 | − | 0.328077i | ||||
\(605\) | 9.75381 | + | 16.8941i | 0.396549 | + | 0.686842i | ||||
\(606\) | −12.2161 | − | 30.5125i | −0.496246 | − | 1.23949i | ||||
\(607\) | 20.3275 | + | 11.7361i | 0.825067 | + | 0.476353i | 0.852161 | − | 0.523280i | \(-0.175292\pi\) |
−0.0270936 | + | 0.999633i | \(0.508625\pi\) | |||||||
\(608\) | 14.0456 | 0.569626 | ||||||||
\(609\) | 3.69202 | − | 7.27675i | 0.149608 | − | 0.294869i | ||||
\(610\) | 3.08752 | 0.125010 | ||||||||
\(611\) | −1.06202 | − | 0.613160i | −0.0429649 | − | 0.0248058i | ||||
\(612\) | 1.53249 | + | 6.31580i | 0.0619472 | + | 0.255301i | ||||
\(613\) | −9.87375 | − | 17.1018i | −0.398797 | − | 0.690737i | 0.594781 | − | 0.803888i | \(-0.297239\pi\) |
−0.993578 | + | 0.113151i | \(0.963906\pi\) | |||||||
\(614\) | 5.27868 | − | 9.14295i | 0.213030 | − | 0.368979i | ||||
\(615\) | −1.16612 | + | 8.11180i | −0.0470225 | + | 0.327099i | ||||
\(616\) | 10.2557 | − | 30.2619i | 0.413213 | − | 1.21929i | ||||
\(617\) | − | 14.9308i | − | 0.601092i | −0.953767 | − | 0.300546i | \(-0.902831\pi\) | ||
0.953767 | − | 0.300546i | \(-0.0971688\pi\) | |||||||
\(618\) | −3.16918 | − | 2.49216i | −0.127483 | − | 0.100249i | ||||
\(619\) | −5.20254 | + | 3.00369i | −0.209108 | + | 0.120728i | −0.600897 | − | 0.799327i | \(-0.705190\pi\) |
0.391789 | + | 0.920055i | \(0.371856\pi\) | |||||||
\(620\) | 6.77527 | − | 3.91170i | 0.272101 | − | 0.157098i | ||||
\(621\) | −2.02813 | + | 1.44442i | −0.0813859 | + | 0.0579626i | ||||
\(622\) | − | 1.52489i | − | 0.0611426i | ||||||
\(623\) | −9.03618 | + | 1.80210i | −0.362027 | + | 0.0721996i | ||||
\(624\) | 5.15068 | + | 0.740442i | 0.206192 | + | 0.0296414i | ||||
\(625\) | −25.9611 | + | 44.9660i | −1.03844 | + | 1.79864i | ||||
\(626\) | 12.9775 | + | 22.4776i | 0.518684 | + | 0.898387i | ||||
\(627\) | −39.1100 | + | 15.6583i | −1.56190 | + | 0.625331i | ||||
\(628\) | 4.73044 | + | 2.73112i | 0.188765 | + | 0.108984i | ||||
\(629\) | −30.7349 | −1.22548 | ||||||||
\(630\) | −36.9728 | + | 17.1759i | −1.47303 | + | 0.684305i | ||||
\(631\) | −37.2180 | −1.48162 | −0.740812 | − | 0.671712i | \(-0.765559\pi\) | ||||
−0.740812 | + | 0.671712i | \(0.765559\pi\) | |||||||
\(632\) | −2.42447 | − | 1.39977i | −0.0964404 | − | 0.0556799i | ||||
\(633\) | 6.22017 | − | 2.49034i | 0.247230 | − | 0.0989820i | ||||
\(634\) | −17.4201 | − | 30.1725i | −0.691841 | − | 1.19830i | ||||
\(635\) | 19.7198 | − | 34.1557i | 0.782557 | − | 1.35543i | ||||
\(636\) | −0.854813 | − | 0.122885i | −0.0338955 | − | 0.00487269i | ||||
\(637\) | 6.94102 | + | 0.906749i | 0.275013 | + | 0.0359267i | ||||
\(638\) | 8.91300i | 0.352869i | ||||||||
\(639\) | −5.63599 | − | 5.91034i | −0.222956 | − | 0.233809i | ||||
\(640\) | −23.3842 | + | 13.5009i | −0.924343 | + | 0.533670i | ||||
\(641\) | 25.8021 | − | 14.8968i | 1.01912 | − | 0.588389i | 0.105271 | − | 0.994444i | \(-0.466429\pi\) |
0.913849 | + | 0.406054i | \(0.133096\pi\) | |||||||
\(642\) | 21.0832 | + | 16.5793i | 0.832089 | + | 0.654333i | ||||
\(643\) | 3.08853i | 0.121800i | 0.998144 | + | 0.0608998i | \(0.0193970\pi\) | ||||
−0.998144 | + | 0.0608998i | \(0.980603\pi\) | |||||||
\(644\) | −0.393193 | + | 0.345169i | −0.0154940 | + | 0.0136015i | ||||
\(645\) | 5.41775 | − | 37.6871i | 0.213324 | − | 1.48393i | ||||
\(646\) | −20.2441 | + | 35.0638i | −0.796493 | + | 1.37957i | ||||
\(647\) | 3.72461 | + | 6.45121i | 0.146430 | + | 0.253623i | 0.929905 | − | 0.367799i | \(-0.119889\pi\) |
−0.783476 | + | 0.621422i | \(0.786555\pi\) | |||||||
\(648\) | 27.3265 | + | 1.29934i | 1.07349 | + | 0.0510428i | ||||
\(649\) | 2.46784 | + | 1.42481i | 0.0968712 | + | 0.0559286i | ||||
\(650\) | 14.6397 | 0.574217 | ||||||||
\(651\) | 21.2783 | − | 1.15166i | 0.833961 | − | 0.0451373i | ||||
\(652\) | −3.94480 | −0.154490 | ||||||||
\(653\) | 36.7497 | + | 21.2175i | 1.43813 | + | 0.830304i | 0.997720 | − | 0.0674935i | \(-0.0215002\pi\) |
0.440409 | + | 0.897797i | \(0.354834\pi\) | |||||||
\(654\) | 2.04065 | + | 5.09697i | 0.0797956 | + | 0.199307i | ||||
\(655\) | 44.8612 | + | 77.7018i | 1.75287 | + | 3.03606i | ||||
\(656\) | −1.74341 | + | 3.01968i | −0.0680688 | + | 0.117899i | ||||
\(657\) | 8.83674 | − | 30.1000i | 0.344754 | − | 1.17431i | ||||
\(658\) | 3.87147 | + | 1.31203i | 0.150925 | + | 0.0511482i | ||||
\(659\) | − | 9.94881i | − | 0.387551i | −0.981046 | − | 0.193775i | \(-0.937927\pi\) | ||
0.981046 | − | 0.193775i | \(-0.0620733\pi\) | |||||||
\(660\) | −7.15659 | + | 9.10076i | −0.278570 | + | 0.354247i | ||||
\(661\) | 0.982661 | − | 0.567340i | 0.0382211 | − | 0.0220670i | −0.480768 | − | 0.876848i | \(-0.659642\pi\) |
0.518989 | + | 0.854781i | \(0.326309\pi\) | |||||||
\(662\) | −24.6551 | + | 14.2346i | −0.958246 | + | 0.553244i | ||||
\(663\) | 5.62029 | − | 7.14710i | 0.218274 | − | 0.277570i | ||||
\(664\) | − | 20.8365i | − | 0.808614i | ||||||
\(665\) | 62.5376 | + | 21.1938i | 2.42511 | + | 0.821862i | ||||
\(666\) | −6.23373 | + | 21.2335i | −0.241552 | + | 0.822783i | ||||
\(667\) | 0.426620 | − | 0.738927i | 0.0165188 | − | 0.0286114i | ||||
\(668\) | −0.930148 | − | 1.61106i | −0.0359885 | − | 0.0623339i | ||||
\(669\) | −7.47529 | − | 18.6712i | −0.289012 | − | 0.721870i | ||||
\(670\) | −18.7670 | − | 10.8352i | −0.725034 | − | 0.418599i | ||||
\(671\) | 2.38830 | 0.0921992 | ||||||||
\(672\) | 10.4985 | − | 0.568222i | 0.404990 | − | 0.0219197i | ||||
\(673\) | −23.1761 | −0.893371 | −0.446686 | − | 0.894691i | \(-0.647396\pi\) | ||||
−0.446686 | + | 0.894691i | \(0.647396\pi\) | |||||||
\(674\) | 15.9683 | + | 9.21930i | 0.615076 | + | 0.355114i | ||||
\(675\) | 60.1049 | − | 5.74328i | 2.31344 | − | 0.221059i | ||||
\(676\) | 0.206343 | + | 0.357397i | 0.00793628 | + | 0.0137460i | ||||
\(677\) | 20.0889 | − | 34.7951i | 0.772081 | − | 1.33728i | −0.164340 | − | 0.986404i | \(-0.552549\pi\) |
0.936421 | − | 0.350880i | \(-0.114117\pi\) | |||||||
\(678\) | 3.56179 | − | 24.7766i | 0.136790 | − | 0.951541i | ||||
\(679\) | −12.2873 | + | 10.7865i | −0.471543 | + | 0.413949i | ||||
\(680\) | 65.0513i | 2.49460i | ||||||||
\(681\) | −31.7365 | − | 24.9567i | −1.21614 | − | 0.956344i | ||||
\(682\) | −20.1580 | + | 11.6382i | −0.771890 | + | 0.445651i | ||||
\(683\) | 2.75457 | − | 1.59035i | 0.105401 | − | 0.0608532i | −0.446373 | − | 0.894847i | \(-0.647285\pi\) |
0.551774 | + | 0.833994i | \(0.313951\pi\) | |||||||
\(684\) | −5.23055 | − | 5.48516i | −0.199995 | − | 0.209730i | ||||
\(685\) | 49.4159i | 1.88809i | ||||||||
\(686\) | −23.2812 | + | 1.56097i | −0.888878 | + | 0.0595981i | ||||
\(687\) | −15.6730 | − | 2.25309i | −0.597963 | − | 0.0859608i | ||||
\(688\) | 8.09983 | − | 14.0293i | 0.308803 | − | 0.534863i | ||||
\(689\) | 0.604090 | + | 1.04632i | 0.0230140 | + | 0.0398614i | ||||
\(690\) | −3.95753 | + | 1.58446i | −0.150661 | + | 0.0603192i | ||||
\(691\) | −5.82249 | − | 3.36162i | −0.221498 | − | 0.127882i | 0.385146 | − | 0.922856i | \(-0.374151\pi\) |
−0.606644 | + | 0.794974i | \(0.707485\pi\) | |||||||
\(692\) | 5.92668 | 0.225298 | ||||||||
\(693\) | −28.5996 | + | 13.2861i | −1.08641 | + | 0.504698i | ||||
\(694\) | −15.5814 | −0.591464 | ||||||||
\(695\) | 62.9107 | + | 36.3215i | 2.38634 | + | 1.37775i | ||||
\(696\) | −8.70319 | + | 3.48445i | −0.329893 | + | 0.132078i | ||||
\(697\) | 3.04624 | + | 5.27624i | 0.115384 | + | 0.199852i | ||||
\(698\) | 16.8230 | − | 29.1383i | 0.636760 | − | 1.10290i | ||||
\(699\) | −14.5669 | − | 2.09409i | −0.550972 | − | 0.0792056i | ||||
\(700\) | 12.4423 | − | 2.48139i | 0.470276 | − | 0.0937879i | ||||
\(701\) | 26.9949i | 1.01959i | 0.860297 | + | 0.509793i | \(0.170278\pi\) | ||||
−0.860297 | + | 0.509793i | \(0.829722\pi\) | |||||||
\(702\) | −3.79773 | − | 5.33242i | −0.143336 | − | 0.201259i | ||||
\(703\) | 31.0413 | − | 17.9217i | 1.17075 | − | 0.675930i | ||||
\(704\) | −30.6201 | + | 17.6785i | −1.15404 | + | 0.666284i | ||||
\(705\) | −6.80671 | − | 5.35262i | −0.256356 | − | 0.201591i | ||||
\(706\) | 38.6472i | 1.45451i | ||||||||
\(707\) | −12.7902 | + | 37.7407i | −0.481026 | + | 1.41938i | ||||
\(708\) | −0.0729504 | + | 0.507460i | −0.00274165 | + | 0.0190715i | ||||
\(709\) | −10.2526 | + | 17.7581i | −0.385046 | + | 0.666919i | −0.991776 | − | 0.127989i | \(-0.959148\pi\) |
0.606730 | + | 0.794908i | \(0.292481\pi\) | |||||||
\(710\) | −6.99110 | − | 12.1089i | −0.262371 | − | 0.454440i | ||||
\(711\) | 0.651511 | + | 2.68506i | 0.0244336 | + | 0.100697i | ||||
\(712\) | 9.16786 | + | 5.29306i | 0.343580 | + | 0.198366i | ||||
\(713\) | 2.22825 | 0.0834486 | ||||||||
\(714\) | −13.7131 | + | 27.0277i | −0.513200 | + | 1.01149i | ||||
\(715\) | 16.1971 | 0.605738 | ||||||||
\(716\) | −0.708607 | − | 0.409115i | −0.0264819 | − | 0.0152893i | ||||
\(717\) | 7.15725 | + | 17.8768i | 0.267292 | + | 0.667622i | ||||
\(718\) | 17.6443 | + | 30.5608i | 0.658480 | + | 1.14052i | ||||
\(719\) | −17.7125 | + | 30.6790i | −0.660566 | + | 1.14413i | 0.319902 | + | 0.947451i | \(0.396350\pi\) |
−0.980467 | + | 0.196682i | \(0.936983\pi\) | |||||||
\(720\) | 35.2556 | + | 10.3503i | 1.31390 | + | 0.385734i | ||||
\(721\) | 0.956026 | + | 4.79375i | 0.0356043 | + | 0.178529i | ||||
\(722\) | − | 23.2799i | − | 0.866388i | ||||||
\(723\) | 20.8135 | − | 26.4677i | 0.774062 | − | 0.984344i | ||||
\(724\) | −0.315191 | + | 0.181975i | −0.0117140 | + | 0.00676306i | ||||
\(725\) | −17.9185 | + | 10.3452i | −0.665476 | + | 0.384213i | ||||
\(726\) | 6.45462 | − | 8.20808i | 0.239553 | − | 0.304630i | ||||
\(727\) | 4.04100i | 0.149873i | 0.997188 | + | 0.0749363i | \(0.0238753\pi\) | ||||
−0.997188 | + | 0.0749363i | \(0.976125\pi\) | |||||||
\(728\) | −5.30569 | − | 6.04389i | −0.196642 | − | 0.224001i | ||||
\(729\) | −17.6839 | − | 20.4029i | −0.654959 | − | 0.755664i | ||||
\(730\) | 26.8543 | − | 46.5130i | 0.993922 | − | 1.72152i | ||||
\(731\) | −14.1527 | − | 24.5132i | −0.523457 | − | 0.906654i | ||||
\(732\) | 0.159705 | + | 0.398898i | 0.00590286 | + | 0.0147437i | ||||
\(733\) | −0.796258 | − | 0.459720i | −0.0294105 | − | 0.0169801i | 0.485223 | − | 0.874391i | \(-0.338739\pi\) |
−0.514633 | + | 0.857410i | \(0.672072\pi\) | |||||||
\(734\) | −12.1246 | −0.447528 | ||||||||
\(735\) | 47.6017 | + | 13.3115i | 1.75582 | + | 0.491004i | ||||
\(736\) | 1.09940 | 0.0405245 | ||||||||
\(737\) | −14.5169 | − | 8.38134i | −0.534737 | − | 0.308731i | ||||
\(738\) | 4.26299 | − | 1.03439i | 0.156923 | − | 0.0380763i | ||||
\(739\) | −25.9426 | − | 44.9339i | −0.954313 | − | 1.65292i | −0.735932 | − | 0.677056i | \(-0.763256\pi\) |
−0.218382 | − | 0.975863i | \(-0.570078\pi\) | |||||||
\(740\) | 4.92523 | − | 8.53075i | 0.181055 | − | 0.313597i | ||||
\(741\) | −1.50880 | + | 10.4956i | −0.0554272 | + | 0.385564i | ||||
\(742\) | −2.65689 | − | 3.02655i | −0.0975373 | − | 0.111108i | ||||
\(743\) | − | 13.6972i | − | 0.502502i | −0.967922 | − | 0.251251i | \(-0.919158\pi\) | ||
0.967922 | − | 0.251251i | \(-0.0808420\pi\) | |||||||
\(744\) | −19.2448 | − | 15.1336i | −0.705550 | − | 0.554826i | ||||
\(745\) | 64.6772 | − | 37.3414i | 2.36959 | − | 1.36808i | ||||
\(746\) | −38.9456 | + | 22.4853i | −1.42590 | + | 0.823244i | ||||
\(747\) | −14.8825 | + | 14.1916i | −0.544521 | + | 0.519245i | ||||
\(748\) | 8.60703i | 0.314704i | ||||||||
\(749\) | −6.36004 | − | 31.8908i | −0.232391 | − | 1.16526i | ||||
\(750\) | 58.2927 | + | 8.37993i | 2.12855 | + | 0.305992i | ||||
\(751\) | −12.1596 | + | 21.0610i | −0.443710 | + | 0.768528i | −0.997961 | − | 0.0638215i | \(-0.979671\pi\) |
0.554252 | + | 0.832349i | \(0.313004\pi\) | |||||||
\(752\) | −1.84213 | − | 3.19066i | −0.0671754 | − | 0.116351i | ||||
\(753\) | −29.5010 | + | 11.8111i | −1.07507 | + | 0.430422i | ||||
\(754\) | 1.94281 | + | 1.12168i | 0.0707531 | + | 0.0408493i | ||||
\(755\) | −91.9724 | −3.34722 | ||||||||
\(756\) | −4.13152 | − | 3.88833i | −0.150262 | − | 0.141417i | ||||
\(757\) | −0.120656 | −0.00438531 | −0.00219266 | − | 0.999998i | \(-0.500698\pi\) | ||||
−0.00219266 | + | 0.999998i | \(0.500698\pi\) | |||||||
\(758\) | −30.5239 | − | 17.6230i | −1.10868 | − | 0.640097i | ||||
\(759\) | −3.06127 | + | 1.22563i | −0.111117 | + | 0.0444874i | ||||
\(760\) | −37.9318 | − | 65.6998i | −1.37593 | − | 2.38318i | ||||
\(761\) | 17.0379 | − | 29.5104i | 0.617622 | − | 1.06975i | −0.372297 | − | 0.928114i | \(-0.621430\pi\) |
0.989918 | − | 0.141639i | \(-0.0452371\pi\) | |||||||
\(762\) | −20.8963 | − | 3.00397i | −0.756992 | − | 0.108822i | ||||
\(763\) | 2.13654 | − | 6.30440i | 0.0773481 | − | 0.228235i | ||||
\(764\) | − | 1.92460i | − | 0.0696295i | ||||||
\(765\) | 46.4628 | − | 44.3061i | 1.67987 | − | 1.60189i | ||||
\(766\) | −21.1118 | + | 12.1889i | −0.762801 | + | 0.440404i | ||||
\(767\) | 0.621146 | − | 0.358619i | 0.0224283 | − | 0.0129490i | ||||
\(768\) | −12.8714 | − | 10.1217i | −0.464455 | − | 0.365235i | ||||
\(769\) | 48.2581i | 1.74023i | 0.492849 | + | 0.870115i | \(0.335956\pi\) | ||||
−0.492849 | + | 0.870115i | \(0.664044\pi\) | |||||||
\(770\) | −52.9479 | + | 10.5595i | −1.90811 | + | 0.380538i | ||||
\(771\) | −2.45340 | + | 17.0664i | −0.0883569 | + | 0.614631i | ||||
\(772\) | 0.835815 | − | 1.44767i | 0.0300816 | − | 0.0521029i | ||||
\(773\) | −16.0465 | − | 27.7933i | −0.577152 | − | 0.999656i | −0.995804 | − | 0.0915095i | \(-0.970831\pi\) |
0.418653 | − | 0.908146i | \(-0.362503\pi\) | |||||||
\(774\) | −19.8057 | + | 4.80572i | −0.711901 | + | 0.172738i | ||||
\(775\) | −46.7944 | − | 27.0168i | −1.68091 | − | 0.970471i | ||||
\(776\) | 18.7847 | 0.674332 | ||||||||
\(777\) | 22.4771 | − | 14.6515i | 0.806361 | − | 0.525621i | ||||
\(778\) | 25.6025 | 0.917894 | ||||||||
\(779\) | −6.15321 | − | 3.55256i | −0.220462 | − | 0.127284i | ||||
\(780\) | 1.08310 | + | 2.70527i | 0.0387811 | + | 0.0968643i | ||||
\(781\) | −5.40784 | − | 9.36665i | −0.193508 | − | 0.335165i | ||||
\(782\) | −1.58457 | + | 2.74456i | −0.0566643 | + | 0.0981454i | ||||
\(783\) | 8.41646 | + | 3.84301i | 0.300780 | + | 0.137338i | ||||
\(784\) | 16.6972 | + | 12.7857i | 0.596328 | + | 0.456633i | ||||
\(785\) | − | 53.9591i | − | 1.92588i | ||||||
\(786\) | 29.6870 | − | 37.7518i | 1.05890 | − | 1.34656i | ||||
\(787\) | −8.44483 | + | 4.87563i | −0.301026 | + | 0.173797i | −0.642904 | − | 0.765947i | \(-0.722270\pi\) |
0.341878 | + | 0.939744i | \(0.388937\pi\) | |||||||
\(788\) | 4.20859 | − | 2.42983i | 0.149925 | − | 0.0865592i | ||||
\(789\) | 23.9455 | − | 30.4506i | 0.852484 | − | 1.08407i | ||||
\(790\) | 4.73042i | 0.168301i | ||||||||
\(791\) | −22.8074 | + | 20.0217i | −0.810938 | + | 0.711891i | ||||
\(792\) | 34.7636 | + | 10.2059i | 1.23527 | + | 0.362650i | ||||
\(793\) | 0.300563 | − | 0.520590i | 0.0106733 | − | 0.0184867i | ||||
\(794\) | −12.4661 | − | 21.5919i | −0.442404 | − | 0.766267i | ||||
\(795\) | 3.17087 | + | 7.91996i | 0.112459 | + | 0.280892i | ||||
\(796\) | −1.94405 | − | 1.12240i | −0.0689050 | − | 0.0397823i | ||||
\(797\) | 19.3274 | 0.684613 | 0.342306 | − | 0.939588i | \(-0.388792\pi\) | ||||
0.342306 | + | 0.939588i | \(0.388792\pi\) | |||||||
\(798\) | −1.91021 | − | 35.2933i | −0.0676209 | − | 1.24937i | ||||
\(799\) | −6.43744 | −0.227740 | ||||||||
\(800\) | −23.0880 | − | 13.3299i | −0.816285 | − | 0.471282i | ||||
\(801\) | −2.46361 | − | 10.1532i | −0.0870474 | − | 0.358746i | ||||
\(802\) | −9.72445 | − | 16.8432i | −0.343382 | − | 0.594755i | ||||
\(803\) | 20.7726 | − | 35.9793i | 0.733051 | − | 1.26968i | ||||
\(804\) | 0.429126 | − | 2.98510i | 0.0151341 | − | 0.105276i | ||||
\(805\) | 4.89504 | + | 1.65892i | 0.172527 | + | 0.0584691i | ||||
\(806\) | 5.85859i | 0.206360i | ||||||||
\(807\) | 38.6419 | + | 30.3870i | 1.36026 | + | 1.06967i | ||||
\(808\) | 39.6490 | − | 22.8914i | 1.39485 | − | 0.805315i | ||||
\(809\) | 16.3533 | − | 9.44160i | 0.574953 | − | 0.331949i | −0.184172 | − | 0.982894i | \(-0.558960\pi\) |
0.759125 | + | 0.650945i | \(0.225627\pi\) | |||||||
\(810\) | −21.1856 | − | 41.0856i | −0.744387 | − | 1.44360i | ||||
\(811\) | − | 23.9568i | − | 0.841236i | −0.907238 | − | 0.420618i | \(-0.861813\pi\) | ||
0.907238 | − | 0.420618i | \(-0.138187\pi\) | |||||||
\(812\) | 1.84132 | + | 0.624019i | 0.0646177 | + | 0.0218988i | ||||
\(813\) | −11.4175 | − | 1.64134i | −0.400431 | − | 0.0575644i | ||||
\(814\) | −14.6537 | + | 25.3810i | −0.513612 | + | 0.889602i | ||||
\(815\) | 19.4845 | + | 33.7481i | 0.682512 | + | 1.18215i | ||||
\(816\) | 25.3590 | − | 10.1529i | 0.887743 | − | 0.355421i | ||||
\(817\) | 28.5876 | + | 16.5051i | 1.00015 | + | 0.577439i | ||||
\(818\) | 49.1395 | 1.71812 | ||||||||
\(819\) | −0.703165 | + | 7.90605i | −0.0245706 | + | 0.276260i | ||||
\(820\) | −1.95262 | −0.0681885 | ||||||||
\(821\) | 2.33939 | + | 1.35065i | 0.0816452 | + | 0.0471379i | 0.540267 | − | 0.841494i | \(-0.318323\pi\) |
−0.458622 | + | 0.888632i | \(0.651657\pi\) | |||||||
\(822\) | 24.5562 | − | 9.83144i | 0.856496 | − | 0.342911i | ||||
\(823\) | −3.50931 | − | 6.07831i | −0.122327 | − | 0.211876i | 0.798358 | − | 0.602183i | \(-0.205702\pi\) |
−0.920685 | + | 0.390307i | \(0.872369\pi\) | |||||||
\(824\) | 2.80801 | − | 4.86361i | 0.0978215 | − | 0.169432i | ||||
\(825\) | 79.1487 | + | 11.3781i | 2.75561 | + | 0.396135i | ||||
\(826\) | −1.79671 | + | 1.57726i | −0.0625155 | + | 0.0548799i | ||||
\(827\) | 37.7335i | 1.31212i | 0.754707 | + | 0.656061i | \(0.227779\pi\) | ||||
−0.754707 | + | 0.656061i | \(0.772221\pi\) | |||||||
\(828\) | −0.409413 | − | 0.429343i | −0.0142281 | − | 0.0149207i | ||||
\(829\) | 18.0935 | − | 10.4463i | 0.628415 | − | 0.362815i | −0.151723 | − | 0.988423i | \(-0.548482\pi\) |
0.780138 | + | 0.625608i | \(0.215149\pi\) | |||||||
\(830\) | −30.4908 | + | 17.6039i | −1.05835 | + | 0.611039i | ||||
\(831\) | −12.2305 | − | 9.61777i | −0.424273 | − | 0.333637i | ||||
\(832\) | 8.89922i | 0.308525i | ||||||||
\(833\) | 33.9346 | − | 14.0959i | 1.17577 | − | 0.488395i | ||||
\(834\) | 5.53294 | − | 38.4884i | 0.191590 | − | 1.33274i | ||||
\(835\) | −9.18852 | + | 15.9150i | −0.317982 | + | 0.550761i | ||||
\(836\) | −5.01881 | − | 8.69283i | −0.173579 | − | 0.300648i | ||||
\(837\) | 2.29837 | + | 24.0530i | 0.0794434 | + | 0.831395i | ||||
\(838\) | 27.5931 | + | 15.9309i | 0.953186 | + | 0.550322i | ||||
\(839\) | 50.9018 | 1.75732 | 0.878662 | − | 0.477444i | \(-0.158437\pi\) | ||||
0.878662 | + | 0.477444i | \(0.158437\pi\) | |||||||
\(840\) | −31.0104 | − | 47.5733i | −1.06996 | − | 1.64144i | ||||
\(841\) | 25.8294 | 0.890670 | ||||||||
\(842\) | 2.03962 | + | 1.17758i | 0.0702899 | + | 0.0405819i | ||||
\(843\) | −10.1532 | − | 25.3598i | −0.349694 | − | 0.873437i | ||||
\(844\) | 0.798207 | + | 1.38253i | 0.0274754 | + | 0.0475888i | ||||
\(845\) | 2.03837 | − | 3.53057i | 0.0701222 | − | 0.121455i | ||||
\(846\) | −1.30566 | + | 4.44737i | −0.0448894 | + | 0.152904i | ||||
\(847\) | −12.4157 | + | 2.47608i | −0.426607 | + | 0.0850790i | ||||
\(848\) | 3.62976i | 0.124646i | ||||||||
\(849\) | −14.5463 | + | 18.4979i | −0.499227 | + | 0.634847i | ||||
\(850\) | 66.5539 | − | 38.4249i | 2.28278 | − | 1.31796i | ||||
\(851\) | 2.42971 | − | 1.40279i | 0.0832895 | − | 0.0480872i | ||||
\(852\) | 1.20282 | − | 1.52957i | 0.0412078 | − | 0.0524023i | ||||
\(853\) | − | 37.4065i | − | 1.28078i | −0.768052 | − | 0.640388i | \(-0.778774\pi\) | ||
0.768052 | − | 0.640388i | \(-0.221226\pi\) | |||||||
\(854\) | −0.643139 | + | 1.89774i | −0.0220078 | + | 0.0649394i | ||||
\(855\) | −21.0909 | + | 71.8405i | −0.721293 | + | 2.45689i | ||||
\(856\) | −18.6805 | + | 32.3555i | −0.638486 | + | 1.10589i | ||||
\(857\) | −2.29740 | − | 3.97922i | −0.0784778 | − | 0.135928i | 0.824116 | − | 0.566422i | \(-0.191673\pi\) |
−0.902593 | + | 0.430494i | \(0.858339\pi\) | |||||||
\(858\) | −3.22246 | − | 8.04881i | −0.110013 | − | 0.274782i | ||||
\(859\) | 29.5949 | + | 17.0866i | 1.00976 | + | 0.582988i | 0.911123 | − | 0.412135i | \(-0.135217\pi\) |
0.0986421 | + | 0.995123i | \(0.468550\pi\) | |||||||
\(860\) | 9.07182 | 0.309346 | ||||||||
\(861\) | −4.74299 | − | 2.40646i | −0.161641 | − | 0.0820120i | ||||
\(862\) | −42.1771 | −1.43656 | ||||||||
\(863\) | −20.7940 | − | 12.0054i | −0.707836 | − | 0.408669i | 0.102424 | − | 0.994741i | \(-0.467340\pi\) |
−0.810259 | + | 0.586072i | \(0.800674\pi\) | |||||||
\(864\) | 1.13400 | + | 11.8676i | 0.0385795 | + | 0.403744i | ||||
\(865\) | −29.2735 | − | 50.7032i | −0.995330 | − | 1.72396i | ||||
\(866\) | −8.58589 | + | 14.8712i | −0.291761 | + | 0.505344i | ||||
\(867\) | 2.60167 | − | 18.0978i | 0.0883574 | − | 0.614634i | ||||
\(868\) | 0.993015 | + | 4.97922i | 0.0337051 | + | 0.169006i | ||||
\(869\) | 3.65913i | 0.124128i | ||||||||
\(870\) | 12.4519 | + | 9.79182i | 0.422158 | + | 0.331974i | ||||
\(871\) | −3.65385 | + | 2.10955i | −0.123806 | + | 0.0714794i | ||||
\(872\) | −6.62318 | + | 3.82389i | −0.224289 | + | 0.129493i | ||||
\(873\) | −12.7942 | − | 13.4170i | −0.433017 | − | 0.454096i | ||||
\(874\) | − | 3.69590i | − | 0.125016i | ||||||
\(875\) | −47.1057 | − | 53.6597i | −1.59246 | − | 1.81403i | ||||
\(876\) | 7.39839 | + | 1.06356i | 0.249968 | + | 0.0359345i | ||||
\(877\) | 10.7369 | − | 18.5969i | 0.362560 | − | 0.627972i | −0.625822 | − | 0.779966i | \(-0.715236\pi\) |
0.988381 | + | 0.151994i | \(0.0485695\pi\) | |||||||
\(878\) | 22.8073 | + | 39.5035i | 0.769710 | + | 1.33318i | ||||
\(879\) | 3.72526 | − | 1.49146i | 0.125650 | − | 0.0503058i | ||||
\(880\) | 42.1419 | + | 24.3306i | 1.42060 | + | 0.820185i | ||||
\(881\) | −26.2116 | −0.883093 | −0.441546 | − | 0.897238i | \(-0.645570\pi\) | ||||
−0.441546 | + | 0.897238i | \(0.645570\pi\) | |||||||
\(882\) | −2.85561 | − | 26.3031i | −0.0961536 | − | 0.885670i | ||||
\(883\) | 18.0151 | 0.606256 | 0.303128 | − | 0.952950i | \(-0.401969\pi\) | ||||
0.303128 | + | 0.952950i | \(0.401969\pi\) | |||||||
\(884\) | 1.87612 | + | 1.08318i | 0.0631007 | + | 0.0364312i | ||||
\(885\) | 4.70169 | − | 1.88239i | 0.158045 | − | 0.0632758i | ||||
\(886\) | −8.38858 | − | 14.5294i | −0.281820 | − | 0.488126i | ||||
\(887\) | 14.3358 | − | 24.8304i | 0.481350 | − | 0.833723i | −0.518421 | − | 0.855126i | \(-0.673480\pi\) |
0.999771 | + | 0.0214027i | \(0.00681321\pi\) | |||||||
\(888\) | −30.5122 | − | 4.38631i | −1.02392 | − | 0.147195i | ||||
\(889\) | 16.8861 | + | 19.2355i | 0.566340 | + | 0.645137i | ||||
\(890\) | − | 17.8875i | − | 0.599591i | ||||||
\(891\) | −16.3878 | − | 31.7810i | −0.549011 | − | 1.06470i | ||||
\(892\) | 4.14998 | − | 2.39599i | 0.138952 | − | 0.0802238i | ||||
\(893\) | 6.50161 | − | 3.75371i | 0.217568 | − | 0.125613i | ||||
\(894\) | −31.4237 | − | 24.7108i | −1.05097 | − | 0.826453i | ||||
\(895\) | 8.08293i | 0.270183i | ||||||||
\(896\) | −3.42730 | − | 17.1853i | −0.114498 | − | 0.574122i | ||||
\(897\) | −0.118099 | + | 0.821525i | −0.00394322 | + | 0.0274299i | ||||
\(898\) | −4.89755 | + | 8.48280i | −0.163433 | + | 0.283075i | ||||
\(899\) | −4.14001 | − | 7.17070i | −0.138077 | − | 0.239156i | ||||
\(900\) | 3.39226 | + | 13.9804i | 0.113075 | + | 0.466014i | ||||
\(901\) | 5.49253 | + | 3.17111i | 0.182983 | + | 0.105645i | ||||
\(902\) | 5.80951 | 0.193435 | ||||||||
\(903\) | 22.0358 | + | 11.1803i | 0.733305 | + | 0.372058i | ||||
\(904\) | 34.8678 | 1.15968 | ||||||||
\(905\) | 3.11363 | + | 1.79766i | 0.103501 | + | 0.0597561i | ||||
\(906\) | 18.2982 | + | 45.7037i | 0.607916 | + | 1.51841i | ||||
\(907\) | 8.02161 | + | 13.8938i | 0.266353 | + | 0.461337i | 0.967917 | − | 0.251269i | \(-0.0808479\pi\) |
−0.701564 | + | 0.712606i | \(0.747515\pi\) | |||||||
\(908\) | 4.80982 | − | 8.33085i | 0.159620 | − | 0.276469i | ||||
\(909\) | −43.3549 | − | 12.7281i | −1.43799 | − | 0.422164i | ||||
\(910\) | −4.36168 | + | 12.8702i | −0.144588 | + | 0.426644i | ||||
\(911\) | 44.0936i | 1.46089i | 0.682973 | + | 0.730444i | \(0.260687\pi\) | ||||
−0.682973 | + | 0.730444i | \(0.739313\pi\) | |||||||
\(912\) | −19.6916 | + | 25.0411i | −0.652055 | + | 0.829192i | ||||
\(913\) | −23.5856 | + | 13.6172i | −0.780570 | + | 0.450662i | ||||
\(914\) | 9.51469 | − | 5.49331i | 0.314718 | − | 0.181703i | ||||
\(915\) | 2.62378 | − | 3.33656i | 0.0867396 | − | 0.110303i | ||||
\(916\) | − | 3.77271i | − | 0.124654i | ||||||
\(917\) | −57.1040 | + | 11.3883i | −1.88574 | + | 0.376076i | ||||
\(918\) | −31.2609 | − | 14.2739i | −1.03176 | − | 0.471109i | ||||
\(919\) | 3.36751 | − | 5.83269i | 0.111084 | − | 0.192403i | −0.805124 | − | 0.593107i | \(-0.797901\pi\) |
0.916208 | + | 0.400704i | \(0.131234\pi\) | |||||||
\(920\) | −2.96905 | − | 5.14255i | −0.0978868 | − | 0.169545i | ||||
\(921\) | −5.39458 | − | 13.4741i | −0.177757 | − | 0.443988i | ||||
\(922\) | 43.9751 | + | 25.3891i | 1.44824 | + | 0.836144i | ||||
\(923\) | −2.72226 | −0.0896044 | ||||||||
\(924\) | −4.10303 | − | 6.29450i | −0.134980 | − | 0.207074i | ||||
\(925\) | −68.0337 | −2.23693 | ||||||||
\(926\) | 36.4703 | + | 21.0561i | 1.19849 | + | 0.691947i | ||||
\(927\) | −5.38635 | + | 1.30696i | −0.176911 | + | 0.0429263i | ||||
\(928\) | −2.04265 | − | 3.53797i | −0.0670532 | − | 0.116140i | ||||
\(929\) | −12.2996 | + | 21.3036i | −0.403537 | + | 0.698947i | −0.994150 | − | 0.108008i | \(-0.965553\pi\) |
0.590613 | + | 0.806955i | \(0.298886\pi\) | |||||||
\(930\) | −5.88643 | + | 40.9474i | −0.193024 | + | 1.34272i | ||||
\(931\) | −26.0535 | + | 34.0239i | −0.853869 | + | 1.11509i | ||||
\(932\) | − | 3.50646i | − | 0.114858i | ||||||
\(933\) | −1.64789 | − | 1.29585i | −0.0539494 | − | 0.0424244i | ||||
\(934\) | 4.70579 | − | 2.71689i | 0.153978 | − | 0.0888993i | ||||
\(935\) | 73.6339 | − | 42.5125i | 2.40809 | − | 1.39031i | ||||
\(936\) | 6.59955 | − | 6.29321i | 0.215713 | − | 0.205700i | ||||
\(937\) | 48.7669i | 1.59314i | 0.604543 | + | 0.796572i | \(0.293356\pi\) | ||||
−0.604543 | + | 0.796572i | \(0.706644\pi\) | |||||||
\(938\) | 10.5690 | − | 9.27814i | 0.345091 | − | 0.302942i | ||||
\(939\) | 35.3189 | + | 5.07731i | 1.15259 | + | 0.165692i | ||||
\(940\) | 1.03159 | − | 1.78677i | 0.0336468 | − | 0.0582779i | ||||
\(941\) | 10.7108 | + | 18.5517i | 0.349163 | + | 0.604767i | 0.986101 | − | 0.166147i | \(-0.0531328\pi\) |
−0.636938 | + | 0.770915i | \(0.719799\pi\) | |||||||
\(942\) | −26.8139 | + | 10.7353i | −0.873643 | + | 0.349776i | ||||
\(943\) | −0.481633 | − | 0.278071i | −0.0156841 | − | 0.00905524i | ||||
\(944\) | 2.15481 | 0.0701330 | ||||||||
\(945\) | −12.8582 | + | 54.5511i | −0.418278 | + | 1.77455i | ||||
\(946\) | −26.9908 | −0.877545 | ||||||||
\(947\) | 1.24594 | + | 0.719345i | 0.0404877 | + | 0.0233756i | 0.520107 | − | 0.854101i | \(-0.325892\pi\) |
−0.479620 | + | 0.877477i | \(0.659225\pi\) | |||||||
\(948\) | −0.611156 | + | 0.244685i | −0.0198494 | + | 0.00794701i | ||||
\(949\) | −5.22839 | − | 9.05584i | −0.169721 | − | 0.293965i | ||||
\(950\) | −44.8116 | + | 77.6159i | −1.45388 | + | 2.51819i | ||||
\(951\) | −47.4098 | − | 6.81545i | −1.53737 | − | 0.221006i | ||||
\(952\) | −39.9836 | − | 13.5503i | −1.29588 | − | 0.439169i | ||||
\(953\) | − | 45.5963i | − | 1.47701i | −0.674249 | − | 0.738504i | \(-0.735532\pi\) | ||
0.674249 | − | 0.738504i | \(-0.264468\pi\) | |||||||
\(954\) | 3.30480 | − | 3.15140i | 0.106997 | − | 0.102030i | ||||
\(955\) | −16.4651 | + | 9.50613i | −0.532798 | + | 0.307611i | ||||
\(956\) | −3.97342 | + | 2.29405i | −0.128509 | + | 0.0741950i | ||||
\(957\) | 9.63191 | + | 7.57428i | 0.311356 | + | 0.244842i | ||||
\(958\) | − | 29.2069i | − | 0.943632i | ||||||
\(959\) | −30.3734 | − | 10.2935i | −0.980809 | − | 0.332393i | ||||
\(960\) | −8.94151 | + | 62.1992i | −0.288586 | + | 2.00747i | ||||
\(961\) | −4.68831 | + | 8.12038i | −0.151236 | + | 0.261948i | ||||
\(962\) | 3.68828 | + | 6.38829i | 0.118915 | + | 0.205967i | ||||
\(963\) | 35.8331 | − | 8.69467i | 1.15471 | − | 0.280182i | ||||
\(964\) | 6.94779 | + | 4.01131i | 0.223773 | + | 0.129196i | ||||
\(965\) | −16.5133 | −0.531582 | ||||||||
\(966\) | −0.149519 | − | 2.76253i | −0.00481070 | − | 0.0888831i | ||||
\(967\) | −21.5668 | −0.693542 | −0.346771 | − | 0.937950i | \(-0.612722\pi\) | ||||
−0.346771 | + | 0.937950i | \(0.612722\pi\) | |||||||
\(968\) | 12.5966 | + | 7.27265i | 0.404870 | + | 0.233752i | ||||
\(969\) | 20.6885 | + | 51.6742i | 0.664611 | + | 1.66001i | ||||
\(970\) | −15.8704 | − | 27.4883i | −0.509568 | − | 0.882597i | ||||
\(971\) | 6.44533 | − | 11.1636i | 0.206841 | − | 0.358258i | −0.743877 | − | 0.668316i | \(-0.767015\pi\) |
0.950718 | + | 0.310058i | \(0.100349\pi\) | |||||||
\(972\) | 4.21228 | − | 4.86230i | 0.135109 | − | 0.155958i | ||||
\(973\) | −35.4294 | + | 31.1021i | −1.13581 | + | 0.997087i | ||||
\(974\) | − | 36.0606i | − | 1.15546i | ||||||
\(975\) | 12.4409 | − | 15.8206i | 0.398426 | − | 0.506663i | ||||
\(976\) | 1.56402 | − | 0.902986i | 0.0500630 | − | 0.0289039i | ||||
\(977\) | 14.2536 | − | 8.22933i | 0.456014 | − | 0.263280i | −0.254353 | − | 0.967111i | \(-0.581862\pi\) |
0.710367 | + | 0.703832i | \(0.248529\pi\) | |||||||
\(978\) | 12.8939 | − | 16.3967i | 0.412303 | − | 0.524309i | ||||
\(979\) | − | 13.8366i | − | 0.442219i | ||||||
\(980\) | −1.52553 | + | 11.6777i | −0.0487313 | + | 0.373031i | ||||
\(981\) | 7.24223 | + | 2.12617i | 0.231226 | + | 0.0678833i | ||||
\(982\) | 20.3041 | − | 35.1677i | 0.647929 | − | 1.12225i | ||||
\(983\) | 21.4985 | + | 37.2366i | 0.685697 | + | 1.18766i | 0.973217 | + | 0.229888i | \(0.0738359\pi\) |
−0.287520 | + | 0.957775i | \(0.592831\pi\) | |||||||
\(984\) | 2.27117 | + | 5.67275i | 0.0724022 | + | 0.180841i | ||||
\(985\) | −41.5749 | − | 24.0033i | −1.32469 | − | 0.764807i | ||||
\(986\) | 11.7763 | 0.375035 | ||||||||
\(987\) | 4.70783 | − | 3.06877i | 0.149852 | − | 0.0976800i | ||||
\(988\) | −2.52643 | −0.0803764 | ||||||||
\(989\) | 2.23765 | + | 1.29191i | 0.0711532 | + | 0.0410803i | ||||
\(990\) | −14.4356 | − | 59.4932i | −0.458795 | − | 1.89082i | ||||
\(991\) | −25.5897 | − | 44.3227i | −0.812884 | − | 1.40796i | −0.910837 | − | 0.412766i | \(-0.864563\pi\) |
0.0979527 | − | 0.995191i | \(-0.468771\pi\) | |||||||
\(992\) | 5.33441 | − | 9.23947i | 0.169368 | − | 0.293353i | ||||
\(993\) | −5.56915 | + | 38.7403i | −0.176732 | + | 1.22939i | ||||
\(994\) | 8.89900 | − | 1.77474i | 0.282259 | − | 0.0562914i | ||||
\(995\) | 22.1754i | 0.703006i | ||||||||
\(996\) | −3.85153 | − | 3.02874i | −0.122040 | − | 0.0959692i | ||||
\(997\) | −23.9143 | + | 13.8069i | −0.757375 | + | 0.437270i | −0.828352 | − | 0.560207i | \(-0.810721\pi\) |
0.0709777 | + | 0.997478i | \(0.477388\pi\) | |||||||
\(998\) | 7.80072 | − | 4.50375i | 0.246928 | − | 0.142564i | ||||
\(999\) | 17.6488 | + | 24.7808i | 0.558383 | + | 0.784031i |
(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 | 273.2.bh.a.131.10 | ✓ | 64 | |
3.2 | odd | 2 | inner | 273.2.bh.a.131.23 | yes | 64 | |
7.3 | odd | 6 | inner | 273.2.bh.a.248.23 | yes | 64 | |
21.17 | even | 6 | inner | 273.2.bh.a.248.10 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bh.a.131.10 | ✓ | 64 | 1.1 | even | 1 | trivial | |
273.2.bh.a.131.23 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bh.a.248.10 | yes | 64 | 21.17 | even | 6 | inner | |
273.2.bh.a.248.23 | yes | 64 | 7.3 | odd | 6 | inner |