Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [60,3,Mod(23,60)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(60, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("60.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 60 = 2^{2} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 60.l (of order \(4\), 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: | \(1.63488158616\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 47.3 | ||
Character | \(\chi\) | \(=\) | 60.47 |
Dual form | 60.3.l.a.23.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/60\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.81610 | + | 0.837725i | −0.908050 | + | 0.418863i | ||||
\(3\) | 2.69303 | − | 1.32197i | 0.897676 | − | 0.440657i | ||||
\(4\) | 2.59643 | − | 3.04278i | 0.649108 | − | 0.760696i | ||||
\(5\) | −3.21472 | − | 3.82956i | −0.642944 | − | 0.765913i | ||||
\(6\) | −3.78336 | + | 4.65685i | −0.630559 | + | 0.776141i | ||||
\(7\) | 3.54241 | − | 3.54241i | 0.506059 | − | 0.506059i | −0.407256 | − | 0.913314i | \(-0.633514\pi\) |
0.913314 | + | 0.407256i | \(0.133514\pi\) | |||||||
\(8\) | −2.16636 | + | 7.70110i | −0.270795 | + | 0.962637i | ||||
\(9\) | 5.50478 | − | 7.12021i | 0.611643 | − | 0.791134i | ||||
\(10\) | 9.04638 | + | 4.26182i | 0.904638 | + | 0.426182i | ||||
\(11\) | 16.8337 | 1.53034 | 0.765168 | − | 0.643831i | \(-0.222656\pi\) | ||||
0.765168 | + | 0.643831i | \(0.222656\pi\) | |||||||
\(12\) | 2.96979 | − | 11.6267i | 0.247483 | − | 0.968892i | ||||
\(13\) | −8.64592 | + | 8.64592i | −0.665071 | + | 0.665071i | −0.956571 | − | 0.291500i | \(-0.905846\pi\) |
0.291500 | + | 0.956571i | \(0.405846\pi\) | |||||||
\(14\) | −3.46580 | + | 9.40093i | −0.247557 | + | 0.671495i | ||||
\(15\) | −13.7199 | − | 6.06335i | −0.914660 | − | 0.404223i | ||||
\(16\) | −2.51707 | − | 15.8008i | −0.157317 | − | 0.987548i | ||||
\(17\) | −9.72710 | + | 9.72710i | −0.572182 | + | 0.572182i | −0.932738 | − | 0.360556i | \(-0.882587\pi\) |
0.360556 | + | 0.932738i | \(0.382587\pi\) | |||||||
\(18\) | −4.03246 | + | 17.5425i | −0.224025 | + | 0.974583i | ||||
\(19\) | −4.78419 | −0.251800 | −0.125900 | − | 0.992043i | \(-0.540182\pi\) | ||||
−0.125900 | + | 0.992043i | \(0.540182\pi\) | |||||||
\(20\) | −19.9993 | − | 0.161503i | −0.999967 | − | 0.00807515i | ||||
\(21\) | 4.85684 | − | 14.2228i | 0.231278 | − | 0.677275i | ||||
\(22\) | −30.5716 | + | 14.1020i | −1.38962 | + | 0.641000i | ||||
\(23\) | −13.5716 | + | 13.5716i | −0.590070 | + | 0.590070i | −0.937650 | − | 0.347580i | \(-0.887003\pi\) |
0.347580 | + | 0.937650i | \(0.387003\pi\) | |||||||
\(24\) | 4.34655 | + | 23.6031i | 0.181106 | + | 0.983464i | ||||
\(25\) | −4.33113 | + | 24.6220i | −0.173245 | + | 0.984879i | ||||
\(26\) | 8.45895 | − | 22.9448i | 0.325344 | − | 0.882491i | ||||
\(27\) | 5.41182 | − | 26.4521i | 0.200438 | − | 0.979706i | ||||
\(28\) | −1.58116 | − | 19.9764i | −0.0564699 | − | 0.713444i | ||||
\(29\) | 14.8741 | 0.512899 | 0.256449 | − | 0.966558i | \(-0.417447\pi\) | ||||
0.256449 | + | 0.966558i | \(0.417447\pi\) | |||||||
\(30\) | 29.9961 | − | 0.481867i | 0.999871 | − | 0.0160622i | ||||
\(31\) | 14.0641i | 0.453680i | 0.973932 | + | 0.226840i | \(0.0728395\pi\) | ||||
−0.973932 | + | 0.226840i | \(0.927161\pi\) | |||||||
\(32\) | 17.8080 | + | 26.5872i | 0.556498 | + | 0.830849i | ||||
\(33\) | 45.3336 | − | 22.2536i | 1.37374 | − | 0.674353i | ||||
\(34\) | 9.51674 | − | 25.8140i | 0.279904 | − | 0.759235i | ||||
\(35\) | −24.9537 | − | 2.17802i | −0.712964 | − | 0.0622292i | ||||
\(36\) | −7.37245 | − | 35.2370i | −0.204790 | − | 0.978806i | ||||
\(37\) | −10.1182 | − | 10.1182i | −0.273465 | − | 0.273465i | 0.557029 | − | 0.830493i | \(-0.311941\pi\) |
−0.830493 | + | 0.557029i | \(0.811941\pi\) | |||||||
\(38\) | 8.68857 | − | 4.00784i | 0.228647 | − | 0.105469i | ||||
\(39\) | −11.8540 | + | 34.7134i | −0.303950 | + | 0.890086i | ||||
\(40\) | 36.4561 | − | 16.4607i | 0.911402 | − | 0.411516i | ||||
\(41\) | 6.08509i | 0.148417i | 0.997243 | + | 0.0742084i | \(0.0236430\pi\) | ||||
−0.997243 | + | 0.0742084i | \(0.976357\pi\) | |||||||
\(42\) | 3.09427 | + | 29.8987i | 0.0736730 | + | 0.711873i | ||||
\(43\) | 57.2366 | + | 57.2366i | 1.33108 | + | 1.33108i | 0.904401 | + | 0.426683i | \(0.140318\pi\) |
0.426683 | + | 0.904401i | \(0.359682\pi\) | |||||||
\(44\) | 43.7075 | − | 51.2213i | 0.993353 | − | 1.16412i | ||||
\(45\) | −44.9636 | + | 1.80856i | −0.999192 | + | 0.0401903i | ||||
\(46\) | 13.2781 | − | 36.0167i | 0.288654 | − | 0.782971i | ||||
\(47\) | −17.6247 | − | 17.6247i | −0.374993 | − | 0.374993i | 0.494299 | − | 0.869292i | \(-0.335425\pi\) |
−0.869292 | + | 0.494299i | \(0.835425\pi\) | |||||||
\(48\) | −27.6667 | − | 39.2244i | −0.576390 | − | 0.817175i | ||||
\(49\) | 23.9027i | 0.487809i | ||||||||
\(50\) | −12.7607 | − | 48.3442i | −0.255214 | − | 0.966885i | ||||
\(51\) | −13.3364 | + | 39.0543i | −0.261498 | + | 0.765770i | ||||
\(52\) | 3.85911 | + | 48.7562i | 0.0742137 | + | 0.937620i | ||||
\(53\) | −16.2015 | − | 16.2015i | −0.305688 | − | 0.305688i | 0.537546 | − | 0.843234i | \(-0.319351\pi\) |
−0.843234 | + | 0.537546i | \(0.819351\pi\) | |||||||
\(54\) | 12.3312 | + | 52.5732i | 0.228355 | + | 0.973578i | ||||
\(55\) | −54.1156 | − | 64.4657i | −0.983920 | − | 1.17210i | ||||
\(56\) | 19.6063 | + | 34.9546i | 0.350112 | + | 0.624189i | ||||
\(57\) | −12.8840 | + | 6.32456i | −0.226034 | + | 0.110957i | ||||
\(58\) | −27.0128 | + | 12.4604i | −0.465738 | + | 0.214834i | ||||
\(59\) | − | 4.37150i | − | 0.0740931i | −0.999314 | − | 0.0370466i | \(-0.988205\pi\) | ||
0.999314 | − | 0.0370466i | \(-0.0117950\pi\) | |||||||
\(60\) | −54.0723 | + | 26.0036i | −0.901205 | + | 0.433394i | ||||
\(61\) | 8.52269 | 0.139716 | 0.0698582 | − | 0.997557i | \(-0.477745\pi\) | ||||
0.0698582 | + | 0.997557i | \(0.477745\pi\) | |||||||
\(62\) | −11.7818 | − | 25.5418i | −0.190030 | − | 0.411964i | ||||
\(63\) | −5.72249 | − | 44.7229i | −0.0908332 | − | 0.709887i | ||||
\(64\) | −54.6137 | − | 33.3667i | −0.853340 | − | 0.521355i | ||||
\(65\) | 60.9043 | + | 5.31588i | 0.936990 | + | 0.0817828i | ||||
\(66\) | −63.6878 | + | 78.3919i | −0.964967 | + | 1.18776i | ||||
\(67\) | 53.9714 | − | 53.9714i | 0.805543 | − | 0.805543i | −0.178413 | − | 0.983956i | \(-0.557096\pi\) |
0.983956 | + | 0.178413i | \(0.0570963\pi\) | |||||||
\(68\) | 4.34170 | + | 54.8532i | 0.0638485 | + | 0.806665i | ||||
\(69\) | −18.6074 | + | 54.4900i | −0.269673 | + | 0.789710i | ||||
\(70\) | 47.1431 | − | 16.9489i | 0.673472 | − | 0.242127i | ||||
\(71\) | 36.6679 | 0.516449 | 0.258225 | − | 0.966085i | \(-0.416863\pi\) | ||||
0.258225 | + | 0.966085i | \(0.416863\pi\) | |||||||
\(72\) | 42.9080 | + | 57.8178i | 0.595945 | + | 0.803025i | ||||
\(73\) | −12.6800 | + | 12.6800i | −0.173699 | + | 0.173699i | −0.788602 | − | 0.614903i | \(-0.789195\pi\) |
0.614903 | + | 0.788602i | \(0.289195\pi\) | |||||||
\(74\) | 26.8519 | + | 9.89937i | 0.362863 | + | 0.133775i | ||||
\(75\) | 20.8857 | + | 72.0332i | 0.278476 | + | 0.960443i | ||||
\(76\) | −12.4218 | + | 14.5573i | −0.163445 | + | 0.191543i | ||||
\(77\) | 59.6318 | − | 59.6318i | 0.774439 | − | 0.774439i | ||||
\(78\) | −7.55214 | − | 72.9733i | −0.0968223 | − | 0.935555i | ||||
\(79\) | −88.4346 | −1.11943 | −0.559713 | − | 0.828687i | \(-0.689088\pi\) | ||||
−0.559713 | + | 0.828687i | \(0.689088\pi\) | |||||||
\(80\) | −52.4184 | + | 60.4344i | −0.655230 | + | 0.755430i | ||||
\(81\) | −20.3947 | − | 78.3904i | −0.251786 | − | 0.967783i | ||||
\(82\) | −5.09763 | − | 11.0511i | −0.0621663 | − | 0.134770i | ||||
\(83\) | 63.7372 | − | 63.7372i | 0.767918 | − | 0.767918i | −0.209822 | − | 0.977740i | \(-0.567288\pi\) |
0.977740 | + | 0.209822i | \(0.0672884\pi\) | |||||||
\(84\) | −30.6663 | − | 51.7068i | −0.365076 | − | 0.615557i | ||||
\(85\) | 68.5205 | + | 5.98063i | 0.806123 | + | 0.0703604i | ||||
\(86\) | −151.896 | − | 55.9988i | −1.76623 | − | 0.651149i | ||||
\(87\) | 40.0563 | − | 19.6631i | 0.460417 | − | 0.226013i | ||||
\(88\) | −36.4679 | + | 129.638i | −0.414408 | + | 1.47316i | ||||
\(89\) | −115.022 | −1.29238 | −0.646190 | − | 0.763177i | \(-0.723639\pi\) | ||||
−0.646190 | + | 0.763177i | \(0.723639\pi\) | |||||||
\(90\) | 80.1434 | − | 40.9517i | 0.890482 | − | 0.455019i | ||||
\(91\) | 61.2548i | 0.673130i | ||||||||
\(92\) | 6.05770 | + | 76.5332i | 0.0658445 | + | 0.831883i | ||||
\(93\) | 18.5923 | + | 37.8749i | 0.199917 | + | 0.407258i | ||||
\(94\) | 46.7728 | + | 17.2435i | 0.497583 | + | 0.183442i | ||||
\(95\) | 15.3798 | + | 18.3214i | 0.161893 | + | 0.192857i | ||||
\(96\) | 83.1047 | + | 48.0583i | 0.865674 | + | 0.500607i | ||||
\(97\) | −85.3544 | − | 85.3544i | −0.879942 | − | 0.879942i | 0.113586 | − | 0.993528i | \(-0.463766\pi\) |
−0.993528 | + | 0.113586i | \(0.963766\pi\) | |||||||
\(98\) | −20.0239 | − | 43.4096i | −0.204325 | − | 0.442955i | ||||
\(99\) | 92.6658 | − | 119.859i | 0.936018 | − | 1.21070i | ||||
\(100\) | 63.6739 | + | 77.1080i | 0.636739 | + | 0.771080i | ||||
\(101\) | 158.917i | 1.57343i | 0.617313 | + | 0.786717i | \(0.288221\pi\) | ||||
−0.617313 | + | 0.786717i | \(0.711779\pi\) | |||||||
\(102\) | −8.49654 | − | 82.0987i | −0.0832994 | − | 0.804889i | ||||
\(103\) | −28.6266 | − | 28.6266i | −0.277928 | − | 0.277928i | 0.554353 | − | 0.832282i | \(-0.312966\pi\) |
−0.832282 | + | 0.554353i | \(0.812966\pi\) | |||||||
\(104\) | −47.8529 | − | 85.3133i | −0.460124 | − | 0.820320i | ||||
\(105\) | −70.0804 | + | 27.1227i | −0.667432 | + | 0.258311i | ||||
\(106\) | 42.9959 | + | 15.8511i | 0.405622 | + | 0.149539i | ||||
\(107\) | 28.1808 | + | 28.1808i | 0.263372 | + | 0.263372i | 0.826423 | − | 0.563050i | \(-0.190372\pi\) |
−0.563050 | + | 0.826423i | \(0.690372\pi\) | |||||||
\(108\) | −66.4365 | − | 85.1480i | −0.615153 | − | 0.788408i | ||||
\(109\) | − | 159.944i | − | 1.46737i | −0.679489 | − | 0.733686i | \(-0.737798\pi\) | ||
0.679489 | − | 0.733686i | \(-0.262202\pi\) | |||||||
\(110\) | 152.284 | + | 71.7421i | 1.38440 | + | 0.652201i | ||||
\(111\) | −40.6245 | − | 13.8726i | −0.365986 | − | 0.124978i | ||||
\(112\) | −64.8893 | − | 47.0563i | −0.579369 | − | 0.420146i | ||||
\(113\) | −101.260 | − | 101.260i | −0.896110 | − | 0.896110i | 0.0989792 | − | 0.995089i | \(-0.468442\pi\) |
−0.995089 | + | 0.0989792i | \(0.968442\pi\) | |||||||
\(114\) | 18.1003 | − | 22.2793i | 0.158775 | − | 0.195432i | ||||
\(115\) | 95.6023 | + | 8.34440i | 0.831324 | + | 0.0725600i | ||||
\(116\) | 38.6195 | − | 45.2586i | 0.332927 | − | 0.390160i | ||||
\(117\) | 13.9668 | + | 109.155i | 0.119375 | + | 0.932946i | ||||
\(118\) | 3.66211 | + | 7.93907i | 0.0310348 | + | 0.0672803i | ||||
\(119\) | 68.9147i | 0.579115i | ||||||||
\(120\) | 76.4167 | − | 92.5229i | 0.636806 | − | 0.771024i | ||||
\(121\) | 162.373 | 1.34193 | ||||||||
\(122\) | −15.4781 | + | 7.13968i | −0.126869 | + | 0.0585219i | ||||
\(123\) | 8.04432 | + | 16.3873i | 0.0654009 | + | 0.133230i | ||||
\(124\) | 42.7940 | + | 36.5165i | 0.345113 | + | 0.294488i | ||||
\(125\) | 108.215 | − | 62.5665i | 0.865718 | − | 0.500532i | ||||
\(126\) | 47.8581 | + | 76.4273i | 0.379826 | + | 0.606566i | ||||
\(127\) | −94.0845 | + | 94.0845i | −0.740823 | + | 0.740823i | −0.972736 | − | 0.231914i | \(-0.925501\pi\) |
0.231914 | + | 0.972736i | \(0.425501\pi\) | |||||||
\(128\) | 127.136 | + | 14.8460i | 0.993251 | + | 0.115985i | ||||
\(129\) | 229.805 | + | 78.4746i | 1.78143 | + | 0.608330i | ||||
\(130\) | −115.062 | + | 41.3669i | −0.885089 | + | 0.318207i | ||||
\(131\) | −145.148 | −1.10800 | −0.554002 | − | 0.832515i | \(-0.686900\pi\) | ||||
−0.554002 | + | 0.832515i | \(0.686900\pi\) | |||||||
\(132\) | 49.9925 | − | 195.720i | 0.378731 | − | 1.48273i | ||||
\(133\) | −16.9476 | + | 16.9476i | −0.127425 | + | 0.127425i | ||||
\(134\) | −52.8042 | + | 143.231i | −0.394061 | + | 1.06888i | ||||
\(135\) | −118.697 | + | 64.3111i | −0.879240 | + | 0.476379i | ||||
\(136\) | −53.8369 | − | 95.9817i | −0.395859 | − | 0.705748i | ||||
\(137\) | −60.1022 | + | 60.1022i | −0.438702 | + | 0.438702i | −0.891575 | − | 0.452873i | \(-0.850399\pi\) |
0.452873 | + | 0.891575i | \(0.350399\pi\) | |||||||
\(138\) | −11.8547 | − | 114.547i | −0.0859035 | − | 0.830051i | ||||
\(139\) | 12.5985 | 0.0906366 | 0.0453183 | − | 0.998973i | \(-0.485570\pi\) | ||||
0.0453183 | + | 0.998973i | \(0.485570\pi\) | |||||||
\(140\) | −71.4180 | + | 70.2738i | −0.510129 | + | 0.501956i | ||||
\(141\) | −70.7630 | − | 24.1644i | −0.501865 | − | 0.171379i | ||||
\(142\) | −66.5925 | + | 30.7176i | −0.468961 | + | 0.216321i | ||||
\(143\) | −145.543 | + | 145.543i | −1.01778 | + | 1.01778i | ||||
\(144\) | −126.361 | − | 69.0578i | −0.877505 | − | 0.479568i | ||||
\(145\) | −47.8160 | − | 56.9612i | −0.329765 | − | 0.392836i | ||||
\(146\) | 12.4058 | − | 33.6506i | 0.0849713 | − | 0.230483i | ||||
\(147\) | 31.5986 | + | 64.3705i | 0.214957 | + | 0.437895i | ||||
\(148\) | −57.0587 | + | 4.51626i | −0.385531 | + | 0.0305153i | ||||
\(149\) | −25.9233 | −0.173982 | −0.0869911 | − | 0.996209i | \(-0.527725\pi\) | ||||
−0.0869911 | + | 0.996209i | \(0.527725\pi\) | |||||||
\(150\) | −98.2746 | − | 113.323i | −0.655164 | − | 0.755487i | ||||
\(151\) | − | 200.379i | − | 1.32701i | −0.748171 | − | 0.663506i | \(-0.769068\pi\) | ||
0.748171 | − | 0.663506i | \(-0.230932\pi\) | |||||||
\(152\) | 10.3643 | − | 36.8435i | 0.0681862 | − | 0.242392i | ||||
\(153\) | 15.7134 | + | 122.805i | 0.102702 | + | 0.802644i | ||||
\(154\) | −58.3422 | + | 158.252i | −0.378846 | + | 1.02761i | ||||
\(155\) | 53.8593 | − | 45.2121i | 0.347479 | − | 0.291691i | ||||
\(156\) | 74.8470 | + | 126.200i | 0.479789 | + | 0.808976i | ||||
\(157\) | 139.992 | + | 139.992i | 0.891666 | + | 0.891666i | 0.994680 | − | 0.103014i | \(-0.0328486\pi\) |
−0.103014 | + | 0.994680i | \(0.532849\pi\) | |||||||
\(158\) | 160.606 | − | 74.0839i | 1.01649 | − | 0.468885i | ||||
\(159\) | −65.0489 | − | 22.2131i | −0.409113 | − | 0.139705i | ||||
\(160\) | 44.5696 | − | 153.667i | 0.278560 | − | 0.960419i | ||||
\(161\) | 96.1524i | 0.597220i | ||||||||
\(162\) | 102.708 | + | 125.280i | 0.634003 | + | 0.773331i | ||||
\(163\) | −58.6324 | − | 58.6324i | −0.359708 | − | 0.359708i | 0.503997 | − | 0.863705i | \(-0.331862\pi\) |
−0.863705 | + | 0.503997i | \(0.831862\pi\) | |||||||
\(164\) | 18.5156 | + | 15.7995i | 0.112900 | + | 0.0963386i | ||||
\(165\) | −230.957 | − | 102.069i | −1.39974 | − | 0.618597i | ||||
\(166\) | −62.3588 | + | 169.147i | −0.375655 | + | 1.01896i | ||||
\(167\) | −84.2556 | − | 84.2556i | −0.504524 | − | 0.504524i | 0.408316 | − | 0.912841i | \(-0.366116\pi\) |
−0.912841 | + | 0.408316i | \(0.866116\pi\) | |||||||
\(168\) | 99.0092 | + | 68.2147i | 0.589341 | + | 0.406040i | ||||
\(169\) | 19.4961i | 0.115361i | ||||||||
\(170\) | −129.450 | + | 46.5399i | −0.761471 | + | 0.273764i | ||||
\(171\) | −26.3359 | + | 34.0644i | −0.154011 | + | 0.199207i | ||||
\(172\) | 322.770 | − | 25.5476i | 1.87657 | − | 0.148533i | ||||
\(173\) | 51.2341 | + | 51.2341i | 0.296151 | + | 0.296151i | 0.839504 | − | 0.543353i | \(-0.182846\pi\) |
−0.543353 | + | 0.839504i | \(0.682846\pi\) | |||||||
\(174\) | −56.2739 | + | 69.2663i | −0.323413 | + | 0.398082i | ||||
\(175\) | 71.8785 | + | 102.564i | 0.410734 | + | 0.586078i | ||||
\(176\) | −42.3716 | − | 265.985i | −0.240747 | − | 1.51128i | ||||
\(177\) | −5.77899 | − | 11.7726i | −0.0326497 | − | 0.0665116i | ||||
\(178\) | 208.891 | − | 96.3566i | 1.17354 | − | 0.541329i | ||||
\(179\) | 27.2276i | 0.152109i | 0.997104 | + | 0.0760547i | \(0.0242324\pi\) | ||||
−0.997104 | + | 0.0760547i | \(0.975768\pi\) | |||||||
\(180\) | −111.242 | + | 141.510i | −0.618011 | + | 0.786169i | ||||
\(181\) | −276.624 | −1.52831 | −0.764155 | − | 0.645033i | \(-0.776844\pi\) | ||||
−0.764155 | + | 0.645033i | \(0.776844\pi\) | |||||||
\(182\) | −51.3147 | − | 111.245i | −0.281949 | − | 0.611235i | ||||
\(183\) | 22.9518 | − | 11.2668i | 0.125420 | − | 0.0615670i | ||||
\(184\) | −75.1152 | − | 133.917i | −0.408235 | − | 0.727811i | ||||
\(185\) | −6.22109 | + | 71.2754i | −0.0336275 | + | 0.385272i | ||||
\(186\) | −65.4943 | − | 53.2094i | −0.352120 | − | 0.286072i | ||||
\(187\) | −163.743 | + | 163.743i | −0.875630 | + | 0.875630i | ||||
\(188\) | −99.3894 | + | 7.86679i | −0.528667 | + | 0.0418446i | ||||
\(189\) | −74.5332 | − | 112.875i | −0.394356 | − | 0.597222i | ||||
\(190\) | −43.2796 | − | 20.3893i | −0.227787 | − | 0.107312i | ||||
\(191\) | 340.010 | 1.78016 | 0.890078 | − | 0.455807i | \(-0.150649\pi\) | ||||
0.890078 | + | 0.455807i | \(0.150649\pi\) | |||||||
\(192\) | −191.186 | − | 17.6597i | −0.995761 | − | 0.0919779i | ||||
\(193\) | 100.981 | − | 100.981i | 0.523220 | − | 0.523220i | −0.395322 | − | 0.918542i | \(-0.629367\pi\) |
0.918542 | + | 0.395322i | \(0.129367\pi\) | |||||||
\(194\) | 226.515 | + | 83.5085i | 1.16761 | + | 0.430456i | ||||
\(195\) | 171.044 | − | 66.1980i | 0.877151 | − | 0.339477i | ||||
\(196\) | 72.7306 | + | 62.0617i | 0.371075 | + | 0.316641i | ||||
\(197\) | 225.584 | − | 225.584i | 1.14510 | − | 1.14510i | 0.157595 | − | 0.987504i | \(-0.449626\pi\) |
0.987504 | − | 0.157595i | \(-0.0503741\pi\) | |||||||
\(198\) | −67.8811 | + | 295.305i | −0.342834 | + | 1.49144i | ||||
\(199\) | 286.672 | 1.44056 | 0.720281 | − | 0.693682i | \(-0.244013\pi\) | ||||
0.720281 | + | 0.693682i | \(0.244013\pi\) | |||||||
\(200\) | −180.233 | − | 86.6945i | −0.901167 | − | 0.433473i | ||||
\(201\) | 73.9977 | − | 216.695i | 0.368148 | − | 1.07808i | ||||
\(202\) | −133.129 | − | 288.609i | −0.659053 | − | 1.42876i | ||||
\(203\) | 52.6900 | − | 52.6900i | 0.259557 | − | 0.259557i | ||||
\(204\) | 84.2067 | + | 141.982i | 0.412778 | + | 0.695988i | ||||
\(205\) | 23.3032 | − | 19.5619i | 0.113674 | − | 0.0954238i | ||||
\(206\) | 75.9701 | + | 28.0076i | 0.368787 | + | 0.135959i | ||||
\(207\) | 21.9239 | + | 171.341i | 0.105912 | + | 0.827736i | ||||
\(208\) | 158.375 | + | 114.850i | 0.761416 | + | 0.552163i | ||||
\(209\) | −80.5356 | −0.385338 | ||||||||
\(210\) | 104.552 | − | 107.966i | 0.497865 | − | 0.514122i | ||||
\(211\) | − | 183.842i | − | 0.871288i | −0.900119 | − | 0.435644i | \(-0.856521\pi\) | ||
0.900119 | − | 0.435644i | \(-0.143479\pi\) | |||||||
\(212\) | −91.3637 | + | 7.23155i | −0.430961 | + | 0.0341111i | ||||
\(213\) | 98.7476 | − | 48.4739i | 0.463604 | − | 0.227577i | ||||
\(214\) | −74.7870 | − | 27.5714i | −0.349472 | − | 0.128838i | ||||
\(215\) | 35.1915 | − | 403.191i | 0.163681 | − | 1.87531i | ||||
\(216\) | 191.986 | + | 98.9818i | 0.888824 | + | 0.458249i | ||||
\(217\) | 49.8207 | + | 49.8207i | 0.229589 | + | 0.229589i | ||||
\(218\) | 133.989 | + | 290.473i | 0.614627 | + | 1.33245i | ||||
\(219\) | −17.3850 | + | 50.9103i | −0.0793836 | + | 0.232467i | ||||
\(220\) | −336.663 | − | 2.71869i | −1.53029 | − | 0.0123577i | ||||
\(221\) | − | 168.199i | − | 0.761083i | ||||||
\(222\) | 85.3995 | − | 8.83816i | 0.384683 | − | 0.0398115i | ||||
\(223\) | −7.02165 | − | 7.02165i | −0.0314872 | − | 0.0314872i | 0.691188 | − | 0.722675i | \(-0.257088\pi\) |
−0.722675 | + | 0.691188i | \(0.757088\pi\) | |||||||
\(224\) | 157.266 | + | 31.0995i | 0.702079 | + | 0.138837i | ||||
\(225\) | 151.472 | + | 166.377i | 0.673207 | + | 0.739454i | ||||
\(226\) | 268.727 | + | 99.0706i | 1.18906 | + | 0.438366i | ||||
\(227\) | 36.6684 | + | 36.6684i | 0.161535 | + | 0.161535i | 0.783246 | − | 0.621711i | \(-0.213562\pi\) |
−0.621711 | + | 0.783246i | \(0.713562\pi\) | |||||||
\(228\) | −14.2081 | + | 55.6244i | −0.0623160 | + | 0.243967i | ||||
\(229\) | 270.126i | 1.17959i | 0.807554 | + | 0.589794i | \(0.200791\pi\) | ||||
−0.807554 | + | 0.589794i | \(0.799209\pi\) | |||||||
\(230\) | −180.613 | + | 64.9342i | −0.785276 | + | 0.282322i | ||||
\(231\) | 81.7585 | − | 239.422i | 0.353933 | − | 1.03646i | ||||
\(232\) | −32.2226 | + | 114.547i | −0.138891 | + | 0.493735i | ||||
\(233\) | −55.2135 | − | 55.2135i | −0.236968 | − | 0.236968i | 0.578625 | − | 0.815593i | \(-0.303589\pi\) |
−0.815593 | + | 0.578625i | \(0.803589\pi\) | |||||||
\(234\) | −116.807 | − | 186.535i | −0.499174 | − | 0.797160i | ||||
\(235\) | −10.8364 | + | 124.153i | −0.0461123 | + | 0.528312i | ||||
\(236\) | −13.3015 | − | 11.3503i | −0.0563624 | − | 0.0480945i | ||||
\(237\) | −238.157 | + | 116.908i | −1.00488 | + | 0.493283i | ||||
\(238\) | −57.7316 | − | 125.156i | −0.242570 | − | 0.525865i | ||||
\(239\) | 46.1374i | 0.193044i | 0.995331 | + | 0.0965218i | \(0.0307718\pi\) | ||||
−0.995331 | + | 0.0965218i | \(0.969228\pi\) | |||||||
\(240\) | −61.2716 | + | 232.047i | −0.255298 | + | 0.966862i | ||||
\(241\) | −212.165 | −0.880351 | −0.440176 | − | 0.897912i | \(-0.645084\pi\) | ||||
−0.440176 | + | 0.897912i | \(0.645084\pi\) | |||||||
\(242\) | −294.885 | + | 136.024i | −1.21853 | + | 0.562082i | ||||
\(243\) | −158.553 | − | 184.146i | −0.652483 | − | 0.757803i | ||||
\(244\) | 22.1286 | − | 25.9327i | 0.0906910 | − | 0.106282i | ||||
\(245\) | 91.5368 | − | 76.8404i | 0.373620 | − | 0.313634i | ||||
\(246\) | −28.3373 | − | 23.0221i | −0.115192 | − | 0.0935856i | ||||
\(247\) | 41.3638 | − | 41.3638i | 0.167465 | − | 0.167465i | ||||
\(248\) | −108.309 | − | 30.4679i | −0.436729 | − | 0.122855i | ||||
\(249\) | 87.3872 | − | 255.905i | 0.350953 | − | 1.02773i | ||||
\(250\) | −144.115 | + | 204.281i | −0.576461 | + | 0.817125i | ||||
\(251\) | −159.687 | −0.636203 | −0.318101 | − | 0.948057i | \(-0.603045\pi\) | ||||
−0.318101 | + | 0.948057i | \(0.603045\pi\) | |||||||
\(252\) | −150.940 | − | 98.7077i | −0.598969 | − | 0.391697i | ||||
\(253\) | −228.460 | + | 228.460i | −0.903004 | + | 0.903004i | ||||
\(254\) | 92.0498 | − | 249.684i | 0.362401 | − | 0.983007i | ||||
\(255\) | 192.434 | − | 74.4761i | 0.754642 | − | 0.292063i | ||||
\(256\) | −243.329 | + | 79.5433i | −0.950503 | + | 0.310716i | ||||
\(257\) | −98.0877 | + | 98.0877i | −0.381664 | + | 0.381664i | −0.871701 | − | 0.490037i | \(-0.836983\pi\) |
0.490037 | + | 0.871701i | \(0.336983\pi\) | |||||||
\(258\) | −483.089 | + | 49.9957i | −1.87244 | + | 0.193782i | ||||
\(259\) | −71.6855 | −0.276778 | ||||||||
\(260\) | 174.309 | − | 171.516i | 0.670420 | − | 0.659679i | ||||
\(261\) | 81.8785 | − | 105.906i | 0.313711 | − | 0.405772i | ||||
\(262\) | 263.604 | − | 121.595i | 1.00612 | − | 0.464101i | ||||
\(263\) | −141.919 | + | 141.919i | −0.539614 | + | 0.539614i | −0.923416 | − | 0.383802i | \(-0.874615\pi\) |
0.383802 | + | 0.923416i | \(0.374615\pi\) | |||||||
\(264\) | 73.1685 | + | 397.328i | 0.277153 | + | 1.50503i | ||||
\(265\) | −9.96136 | + | 114.128i | −0.0375900 | + | 0.430671i | ||||
\(266\) | 16.5811 | − | 44.9759i | 0.0623348 | − | 0.169082i | ||||
\(267\) | −309.757 | + | 152.055i | −1.16014 | + | 0.569496i | ||||
\(268\) | −24.0902 | − | 304.356i | −0.0898887 | − | 1.13566i | ||||
\(269\) | −0.543377 | −0.00201999 | −0.00100999 | − | 0.999999i | \(-0.500321\pi\) | ||||
−0.00100999 | + | 0.999999i | \(0.500321\pi\) | |||||||
\(270\) | 161.691 | − | 216.231i | 0.598856 | − | 0.800856i | ||||
\(271\) | 362.830i | 1.33886i | 0.742877 | + | 0.669428i | \(0.233461\pi\) | ||||
−0.742877 | + | 0.669428i | \(0.766539\pi\) | |||||||
\(272\) | 178.179 | + | 129.212i | 0.655071 | + | 0.475044i | ||||
\(273\) | 80.9771 | + | 164.961i | 0.296619 | + | 0.604252i | ||||
\(274\) | 58.8025 | − | 159.501i | 0.214608 | − | 0.582120i | ||||
\(275\) | −72.9088 | + | 414.478i | −0.265123 | + | 1.50719i | ||||
\(276\) | 117.488 | + | 198.098i | 0.425682 | + | 0.717746i | ||||
\(277\) | −79.2266 | − | 79.2266i | −0.286016 | − | 0.286016i | 0.549486 | − | 0.835503i | \(-0.314823\pi\) |
−0.835503 | + | 0.549486i | \(0.814823\pi\) | |||||||
\(278\) | −22.8801 | + | 10.5541i | −0.0823025 | + | 0.0379643i | ||||
\(279\) | 100.139 | + | 77.4197i | 0.358922 | + | 0.277490i | ||||
\(280\) | 70.8321 | − | 187.453i | 0.252972 | − | 0.669474i | ||||
\(281\) | 318.753i | 1.13435i | 0.823597 | + | 0.567176i | \(0.191964\pi\) | ||||
−0.823597 | + | 0.567176i | \(0.808036\pi\) | |||||||
\(282\) | 148.756 | − | 15.3950i | 0.527503 | − | 0.0545922i | ||||
\(283\) | −223.036 | − | 223.036i | −0.788112 | − | 0.788112i | 0.193072 | − | 0.981185i | \(-0.438155\pi\) |
−0.981185 | + | 0.193072i | \(0.938155\pi\) | |||||||
\(284\) | 95.2057 | − | 111.572i | 0.335231 | − | 0.392861i | ||||
\(285\) | 65.6387 | + | 29.0082i | 0.230311 | + | 0.101783i | ||||
\(286\) | 142.395 | − | 386.245i | 0.497885 | − | 1.35051i | ||||
\(287\) | 21.5559 | + | 21.5559i | 0.0751076 | + | 0.0751076i | ||||
\(288\) | 287.335 | + | 19.5603i | 0.997691 | + | 0.0679176i | ||||
\(289\) | 99.7672i | 0.345215i | ||||||||
\(290\) | 134.556 | + | 63.3905i | 0.463988 | + | 0.218588i | ||||
\(291\) | −342.698 | − | 117.026i | −1.17765 | − | 0.402150i | ||||
\(292\) | 5.65974 | + | 71.5054i | 0.0193827 | + | 0.244881i | ||||
\(293\) | 75.3066 | + | 75.3066i | 0.257019 | + | 0.257019i | 0.823841 | − | 0.566822i | \(-0.191827\pi\) |
−0.566822 | + | 0.823841i | \(0.691827\pi\) | |||||||
\(294\) | −111.311 | − | 90.4323i | −0.378609 | − | 0.307593i | ||||
\(295\) | −16.7409 | + | 14.0531i | −0.0567489 | + | 0.0476378i | ||||
\(296\) | 99.8408 | − | 56.0015i | 0.337300 | − | 0.189194i | ||||
\(297\) | 91.1009 | − | 445.286i | 0.306737 | − | 1.49928i | ||||
\(298\) | 47.0794 | − | 21.7166i | 0.157984 | − | 0.0728746i | ||||
\(299\) | − | 234.678i | − | 0.784876i | ||||||
\(300\) | 273.410 | + | 123.479i | 0.911366 | + | 0.411596i | ||||
\(301\) | 405.511 | 1.34721 | ||||||||
\(302\) | 167.862 | + | 363.908i | 0.555836 | + | 1.20499i | ||||
\(303\) | 210.084 | + | 427.967i | 0.693345 | + | 1.41243i | ||||
\(304\) | 12.0421 | + | 75.5939i | 0.0396123 | + | 0.248664i | ||||
\(305\) | −27.3981 | − | 32.6382i | −0.0898298 | − | 0.107011i | ||||
\(306\) | −131.413 | − | 209.862i | −0.429456 | − | 0.685823i | ||||
\(307\) | 330.497 | − | 330.497i | 1.07654 | − | 1.07654i | 0.0797218 | − | 0.996817i | \(-0.474597\pi\) |
0.996817 | − | 0.0797218i | \(-0.0254032\pi\) | |||||||
\(308\) | −26.6167 | − | 336.277i | −0.0864179 | − | 1.09181i | ||||
\(309\) | −114.936 | − | 39.2487i | −0.371961 | − | 0.127018i | ||||
\(310\) | −59.9385 | + | 127.229i | −0.193350 | + | 0.410416i | ||||
\(311\) | −26.5302 | −0.0853063 | −0.0426531 | − | 0.999090i | \(-0.513581\pi\) | ||||
−0.0426531 | + | 0.999090i | \(0.513581\pi\) | |||||||
\(312\) | −241.651 | − | 166.491i | −0.774522 | − | 0.533624i | ||||
\(313\) | 131.851 | − | 131.851i | 0.421248 | − | 0.421248i | −0.464385 | − | 0.885633i | \(-0.653725\pi\) |
0.885633 | + | 0.464385i | \(0.153725\pi\) | |||||||
\(314\) | −371.513 | − | 136.964i | −1.18316 | − | 0.436191i | ||||
\(315\) | −152.873 | + | 165.686i | −0.485311 | + | 0.525988i | ||||
\(316\) | −229.614 | + | 269.087i | −0.726628 | + | 0.851542i | ||||
\(317\) | −66.6091 | + | 66.6091i | −0.210123 | + | 0.210123i | −0.804320 | − | 0.594197i | \(-0.797470\pi\) |
0.594197 | + | 0.804320i | \(0.297470\pi\) | |||||||
\(318\) | 136.744 | − | 14.1519i | 0.430012 | − | 0.0445027i | ||||
\(319\) | 250.385 | 0.784907 | ||||||||
\(320\) | 47.7879 | + | 316.412i | 0.149337 | + | 0.988786i | ||||
\(321\) | 113.146 | + | 38.6375i | 0.352480 | + | 0.120366i | ||||
\(322\) | −80.5492 | − | 174.622i | −0.250153 | − | 0.542305i | ||||
\(323\) | 46.5363 | − | 46.5363i | 0.144075 | − | 0.144075i | ||||
\(324\) | −291.479 | − | 141.479i | −0.899625 | − | 0.436663i | ||||
\(325\) | −175.433 | − | 250.326i | −0.539794 | − | 0.770234i | ||||
\(326\) | 155.600 | + | 57.3644i | 0.477301 | + | 0.175965i | ||||
\(327\) | −211.441 | − | 430.732i | −0.646608 | − | 1.31722i | ||||
\(328\) | −46.8619 | − | 13.1825i | −0.142872 | − | 0.0401906i | ||||
\(329\) | −124.868 | −0.379537 | ||||||||
\(330\) | 504.945 | − | 8.11159i | 1.53014 | − | 0.0245806i | ||||
\(331\) | 284.948i | 0.860871i | 0.902621 | + | 0.430436i | \(0.141640\pi\) | ||||
−0.902621 | + | 0.430436i | \(0.858360\pi\) | |||||||
\(332\) | −28.4491 | − | 359.428i | −0.0856902 | − | 1.08261i | ||||
\(333\) | −127.742 | + | 16.3452i | −0.383610 | + | 0.0490845i | ||||
\(334\) | 223.599 | + | 82.4335i | 0.669460 | + | 0.246807i | ||||
\(335\) | −380.190 | − | 33.1839i | −1.13489 | − | 0.0990564i | ||||
\(336\) | −236.956 | − | 40.9421i | −0.705225 | − | 0.121852i | ||||
\(337\) | 294.164 | + | 294.164i | 0.872889 | + | 0.872889i | 0.992786 | − | 0.119897i | \(-0.0382564\pi\) |
−0.119897 | + | 0.992786i | \(0.538256\pi\) | |||||||
\(338\) | −16.3324 | − | 35.4068i | −0.0483206 | − | 0.104754i | ||||
\(339\) | −406.561 | − | 138.834i | −1.19929 | − | 0.409539i | ||||
\(340\) | 196.107 | − | 192.965i | 0.576784 | − | 0.567543i | ||||
\(341\) | 236.750i | 0.694283i | ||||||||
\(342\) | 19.2921 | − | 83.9267i | 0.0564095 | − | 0.245400i | ||||
\(343\) | 258.251 | + | 258.251i | 0.752919 | + | 0.752919i | ||||
\(344\) | −564.780 | + | 316.789i | −1.64180 | + | 0.920899i | ||||
\(345\) | 268.490 | − | 103.912i | 0.778233 | − | 0.301193i | ||||
\(346\) | −135.966 | − | 50.1262i | −0.392966 | − | 0.144873i | ||||
\(347\) | 274.053 | + | 274.053i | 0.789779 | + | 0.789779i | 0.981458 | − | 0.191679i | \(-0.0613932\pi\) |
−0.191679 | + | 0.981458i | \(0.561393\pi\) | |||||||
\(348\) | 44.1729 | − | 172.936i | 0.126934 | − | 0.496944i | ||||
\(349\) | − | 129.175i | − | 0.370128i | −0.982726 | − | 0.185064i | \(-0.940751\pi\) | ||
0.982726 | − | 0.185064i | \(-0.0592492\pi\) | |||||||
\(350\) | −216.459 | − | 126.051i | −0.618453 | − | 0.360147i | ||||
\(351\) | 181.912 | + | 275.493i | 0.518269 | + | 0.784880i | ||||
\(352\) | 299.773 | + | 447.560i | 0.851629 | + | 1.27148i | ||||
\(353\) | −381.746 | − | 381.746i | −1.08143 | − | 1.08143i | −0.996376 | − | 0.0850569i | \(-0.972893\pi\) |
−0.0850569 | − | 0.996376i | \(-0.527107\pi\) | |||||||
\(354\) | 20.3574 | + | 16.5389i | 0.0575067 | + | 0.0467201i | ||||
\(355\) | −117.877 | − | 140.422i | −0.332048 | − | 0.395555i | ||||
\(356\) | −298.646 | + | 349.986i | −0.838894 | + | 0.983108i | ||||
\(357\) | 91.1033 | + | 185.589i | 0.255191 | + | 0.519858i | ||||
\(358\) | −22.8092 | − | 49.4480i | −0.0637129 | − | 0.138123i | ||||
\(359\) | 209.720i | 0.584178i | 0.956391 | + | 0.292089i | \(0.0943503\pi\) | ||||
−0.956391 | + | 0.292089i | \(0.905650\pi\) | |||||||
\(360\) | 83.4797 | − | 350.187i | 0.231888 | − | 0.972742i | ||||
\(361\) | −338.112 | −0.936597 | ||||||||
\(362\) | 502.377 | − | 231.735i | 1.38778 | − | 0.640151i | ||||
\(363\) | 437.275 | − | 214.652i | 1.20461 | − | 0.591329i | ||||
\(364\) | 186.385 | + | 159.044i | 0.512047 | + | 0.436934i | ||||
\(365\) | 89.3217 | + | 7.79621i | 0.244717 | + | 0.0213595i | ||||
\(366\) | −32.2444 | + | 39.6889i | −0.0880994 | + | 0.108440i | ||||
\(367\) | 4.27652 | − | 4.27652i | 0.0116527 | − | 0.0116527i | −0.701256 | − | 0.712909i | \(-0.747377\pi\) |
0.712909 | + | 0.701256i | \(0.247377\pi\) | |||||||
\(368\) | 248.602 | + | 180.281i | 0.675550 | + | 0.489894i | ||||
\(369\) | 43.3271 | + | 33.4971i | 0.117418 | + | 0.0907781i | ||||
\(370\) | −48.4111 | − | 134.655i | −0.130841 | − | 0.363932i | ||||
\(371\) | −114.785 | −0.309393 | ||||||||
\(372\) | 163.519 | + | 41.7674i | 0.439567 | + | 0.112278i | ||||
\(373\) | 363.822 | − | 363.822i | 0.975394 | − | 0.975394i | −0.0243109 | − | 0.999704i | \(-0.507739\pi\) |
0.999704 | + | 0.0243109i | \(0.00773917\pi\) | |||||||
\(374\) | 160.202 | − | 434.545i | 0.428347 | − | 1.16188i | ||||
\(375\) | 208.714 | − | 311.550i | 0.556571 | − | 0.830800i | ||||
\(376\) | 173.911 | − | 97.5478i | 0.462529 | − | 0.259436i | ||||
\(377\) | −128.600 | + | 128.600i | −0.341114 | + | 0.341114i | ||||
\(378\) | 229.918 | + | 142.554i | 0.608248 | + | 0.377127i | ||||
\(379\) | −732.379 | −1.93240 | −0.966199 | − | 0.257796i | \(-0.917004\pi\) | ||||
−0.966199 | + | 0.257796i | \(0.917004\pi\) | |||||||
\(380\) | 95.6807 | + | 0.772662i | 0.251791 | + | 0.00203332i | ||||
\(381\) | −128.995 | + | 377.749i | −0.338570 | + | 0.991467i | ||||
\(382\) | −617.492 | + | 284.835i | −1.61647 | + | 0.745641i | ||||
\(383\) | 343.246 | − | 343.246i | 0.896203 | − | 0.896203i | −0.0988948 | − | 0.995098i | \(-0.531531\pi\) |
0.995098 | + | 0.0988948i | \(0.0315307\pi\) | |||||||
\(384\) | 362.007 | − | 128.090i | 0.942727 | − | 0.333567i | ||||
\(385\) | −420.064 | − | 36.6642i | −1.09107 | − | 0.0952316i | ||||
\(386\) | −98.7977 | + | 267.987i | −0.255952 | + | 0.694267i | ||||
\(387\) | 722.612 | − | 92.4613i | 1.86721 | − | 0.238918i | ||||
\(388\) | −481.332 | + | 38.0980i | −1.24055 | + | 0.0981907i | ||||
\(389\) | 600.575 | 1.54389 | 0.771947 | − | 0.635687i | \(-0.219283\pi\) | ||||
0.771947 | + | 0.635687i | \(0.219283\pi\) | |||||||
\(390\) | −255.178 | + | 263.510i | −0.654303 | + | 0.675668i | ||||
\(391\) | − | 264.025i | − | 0.675255i | ||||||
\(392\) | −184.077 | − | 51.7819i | −0.469583 | − | 0.132097i | ||||
\(393\) | −390.889 | + | 191.882i | −0.994628 | + | 0.488250i | ||||
\(394\) | −220.706 | + | 598.662i | −0.560168 | + | 1.51945i | ||||
\(395\) | 284.293 | + | 338.666i | 0.719728 | + | 0.857382i | ||||
\(396\) | −124.105 | − | 593.169i | −0.313398 | − | 1.49790i | ||||
\(397\) | −295.285 | − | 295.285i | −0.743792 | − | 0.743792i | 0.229513 | − | 0.973306i | \(-0.426287\pi\) |
−0.973306 | + | 0.229513i | \(0.926287\pi\) | |||||||
\(398\) | −520.625 | + | 240.152i | −1.30810 | + | 0.603398i | ||||
\(399\) | −23.2361 | + | 68.0445i | −0.0582357 | + | 0.170537i | ||||
\(400\) | 399.948 | + | 6.45991i | 0.999870 | + | 0.0161498i | ||||
\(401\) | − | 300.412i | − | 0.749157i | −0.927195 | − | 0.374578i | \(-0.877787\pi\) | ||
0.927195 | − | 0.374578i | \(-0.122213\pi\) | |||||||
\(402\) | 47.1436 | + | 455.529i | 0.117273 | + | 1.13316i | ||||
\(403\) | −121.597 | − | 121.597i | −0.301729 | − | 0.301729i | ||||
\(404\) | 483.550 | + | 412.617i | 1.19691 | + | 1.02133i | ||||
\(405\) | −234.638 | + | 330.106i | −0.579353 | + | 0.815077i | ||||
\(406\) | −51.5506 | + | 139.830i | −0.126972 | + | 0.344409i | ||||
\(407\) | −170.326 | − | 170.326i | −0.418492 | − | 0.418492i | ||||
\(408\) | −271.869 | − | 187.311i | −0.666346 | − | 0.459094i | ||||
\(409\) | 53.8159i | 0.131579i | 0.997834 | + | 0.0657896i | \(0.0209566\pi\) | ||||
−0.997834 | + | 0.0657896i | \(0.979043\pi\) | |||||||
\(410\) | −25.9335 | + | 55.0480i | −0.0632525 | + | 0.134263i | ||||
\(411\) | −82.4035 | + | 241.310i | −0.200495 | + | 0.587130i | ||||
\(412\) | −161.432 | + | 12.7775i | −0.391825 | + | 0.0310134i | ||||
\(413\) | −15.4856 | − | 15.4856i | −0.0374955 | − | 0.0374955i | ||||
\(414\) | −183.353 | − | 292.807i | −0.442881 | − | 0.707263i | ||||
\(415\) | −448.983 | − | 39.1883i | −1.08189 | − | 0.0944297i | ||||
\(416\) | −383.837 | − | 75.9043i | −0.922684 | − | 0.182462i | ||||
\(417\) | 33.9281 | − | 16.6548i | 0.0813623 | − | 0.0399397i | ||||
\(418\) | 146.261 | − | 67.4667i | 0.349906 | − | 0.161404i | ||||
\(419\) | − | 582.593i | − | 1.39044i | −0.718799 | − | 0.695218i | \(-0.755308\pi\) | ||
0.718799 | − | 0.695218i | \(-0.244692\pi\) | |||||||
\(420\) | −99.4307 | + | 283.662i | −0.236740 | + | 0.675385i | ||||
\(421\) | 486.678 | 1.15600 | 0.578002 | − | 0.816035i | \(-0.303833\pi\) | ||||
0.578002 | + | 0.816035i | \(0.303833\pi\) | |||||||
\(422\) | 154.009 | + | 333.875i | 0.364950 | + | 0.791173i | ||||
\(423\) | −222.511 | + | 28.4713i | −0.526032 | + | 0.0673080i | ||||
\(424\) | 159.868 | − | 89.6709i | 0.377046 | − | 0.211488i | ||||
\(425\) | −197.371 | − | 281.630i | −0.464402 | − | 0.662658i | ||||
\(426\) | −138.728 | + | 170.757i | −0.325652 | + | 0.400837i | ||||
\(427\) | 30.1909 | − | 30.1909i | 0.0707046 | − | 0.0707046i | ||||
\(428\) | 158.918 | − | 12.5785i | 0.371304 | − | 0.0293891i | ||||
\(429\) | −199.547 | + | 584.354i | −0.465145 | + | 1.36213i | ||||
\(430\) | 273.852 | + | 761.716i | 0.636865 | + | 1.77143i | ||||
\(431\) | 554.639 | 1.28686 | 0.643432 | − | 0.765503i | \(-0.277510\pi\) | ||||
0.643432 | + | 0.765503i | \(0.277510\pi\) | |||||||
\(432\) | −431.585 | − | 18.9292i | −0.999040 | − | 0.0438177i | ||||
\(433\) | 152.907 | − | 152.907i | 0.353135 | − | 0.353135i | −0.508140 | − | 0.861275i | \(-0.669667\pi\) |
0.861275 | + | 0.508140i | \(0.169667\pi\) | |||||||
\(434\) | −132.216 | − | 48.7433i | −0.304644 | − | 0.112312i | ||||
\(435\) | −204.071 | − | 90.1867i | −0.469128 | − | 0.207326i | ||||
\(436\) | −486.674 | − | 415.283i | −1.11622 | − | 0.952483i | ||||
\(437\) | 64.9292 | − | 64.9292i | 0.148579 | − | 0.148579i | ||||
\(438\) | −11.0759 | − | 107.022i | −0.0252874 | − | 0.244342i | ||||
\(439\) | 218.824 | 0.498461 | 0.249231 | − | 0.968444i | \(-0.419822\pi\) | ||||
0.249231 | + | 0.968444i | \(0.419822\pi\) | |||||||
\(440\) | 613.690 | − | 277.093i | 1.39475 | − | 0.629758i | ||||
\(441\) | 170.192 | + | 131.579i | 0.385923 | + | 0.298365i | ||||
\(442\) | 140.905 | + | 305.467i | 0.318789 | + | 0.691101i | ||||
\(443\) | −39.9964 | + | 39.9964i | −0.0902853 | + | 0.0902853i | −0.750807 | − | 0.660522i | \(-0.770335\pi\) |
0.660522 | + | 0.750807i | \(0.270335\pi\) | |||||||
\(444\) | −147.690 | + | 87.5923i | −0.332635 | + | 0.197280i | ||||
\(445\) | 369.763 | + | 440.483i | 0.830928 | + | 0.989850i | ||||
\(446\) | 18.6342 | + | 6.86980i | 0.0417808 | + | 0.0154031i | ||||
\(447\) | −69.8122 | + | 34.2699i | −0.156180 | + | 0.0766665i | ||||
\(448\) | −311.663 | + | 75.2655i | −0.695676 | + | 0.168003i | ||||
\(449\) | −236.471 | −0.526660 | −0.263330 | − | 0.964706i | \(-0.584821\pi\) | ||||
−0.263330 | + | 0.964706i | \(0.584821\pi\) | |||||||
\(450\) | −414.466 | − | 175.266i | −0.921035 | − | 0.389480i | ||||
\(451\) | 102.435i | 0.227128i | ||||||||
\(452\) | −571.030 | + | 45.1977i | −1.26334 | + | 0.0999949i | ||||
\(453\) | −264.895 | − | 539.626i | −0.584757 | − | 1.19123i | ||||
\(454\) | −97.3115 | − | 35.8754i | −0.214343 | − | 0.0790208i | ||||
\(455\) | 234.579 | − | 196.917i | 0.515559 | − | 0.432785i | ||||
\(456\) | −20.7947 | − | 112.922i | −0.0456025 | − | 0.247636i | ||||
\(457\) | −242.806 | − | 242.806i | −0.531304 | − | 0.531304i | 0.389657 | − | 0.920960i | \(-0.372594\pi\) |
−0.920960 | + | 0.389657i | \(0.872594\pi\) | |||||||
\(458\) | −226.291 | − | 490.575i | −0.494085 | − | 1.07112i | ||||
\(459\) | 204.661 | + | 309.943i | 0.445884 | + | 0.675257i | ||||
\(460\) | 273.615 | − | 269.231i | 0.594815 | − | 0.585286i | ||||
\(461\) | − | 640.776i | − | 1.38997i | −0.719024 | − | 0.694985i | \(-0.755411\pi\) | ||
0.719024 | − | 0.694985i | \(-0.244589\pi\) | |||||||
\(462\) | 52.0879 | + | 503.305i | 0.112744 | + | 1.08940i | ||||
\(463\) | 162.780 | + | 162.780i | 0.351577 | + | 0.351577i | 0.860696 | − | 0.509119i | \(-0.170029\pi\) |
−0.509119 | + | 0.860696i | \(0.670029\pi\) | |||||||
\(464\) | −37.4391 | − | 235.022i | −0.0806876 | − | 0.506512i | ||||
\(465\) | 85.2754 | − | 192.958i | 0.183388 | − | 0.414963i | ||||
\(466\) | 146.527 | + | 54.0195i | 0.314436 | + | 0.115922i | ||||
\(467\) | −424.962 | − | 424.962i | −0.909984 | − | 0.909984i | 0.0862867 | − | 0.996270i | \(-0.472500\pi\) |
−0.996270 | + | 0.0862867i | \(0.972500\pi\) | |||||||
\(468\) | 368.398 | + | 240.915i | 0.787175 | + | 0.514775i | ||||
\(469\) | − | 382.377i | − | 0.815304i | ||||||
\(470\) | −84.3263 | − | 234.553i | −0.179418 | − | 0.499048i | ||||
\(471\) | 562.066 | + | 191.936i | 1.19335 | + | 0.407508i | ||||
\(472\) | 33.6653 | + | 9.47025i | 0.0713248 | + | 0.0200641i | ||||
\(473\) | 963.503 | + | 963.503i | 2.03700 | + | 2.03700i | ||||
\(474\) | 334.579 | − | 411.826i | 0.705864 | − | 0.868832i | ||||
\(475\) | 20.7209 | − | 117.796i | 0.0436230 | − | 0.247992i | ||||
\(476\) | 209.693 | + | 178.932i | 0.440531 | + | 0.375909i | ||||
\(477\) | −204.544 | + | 26.1723i | −0.428813 | + | 0.0548685i | ||||
\(478\) | −38.6505 | − | 83.7902i | −0.0808588 | − | 0.175293i | ||||
\(479\) | 439.071i | 0.916641i | 0.888787 | + | 0.458321i | \(0.151549\pi\) | ||||
−0.888787 | + | 0.458321i | \(0.848451\pi\) | |||||||
\(480\) | −83.1162 | − | 472.749i | −0.173159 | − | 0.984894i | ||||
\(481\) | 174.962 | 0.363747 | ||||||||
\(482\) | 385.312 | − | 177.736i | 0.799403 | − | 0.368746i | ||||
\(483\) | 127.111 | + | 258.941i | 0.263169 | + | 0.536109i | ||||
\(484\) | 421.591 | − | 494.066i | 0.871055 | − | 1.02080i | ||||
\(485\) | −52.4795 | + | 601.261i | −0.108205 | + | 1.23971i | ||||
\(486\) | 442.213 | + | 201.604i | 0.909902 | + | 0.414823i | ||||
\(487\) | 308.231 | − | 308.231i | 0.632918 | − | 0.632918i | −0.315881 | − | 0.948799i | \(-0.602300\pi\) |
0.948799 | + | 0.315881i | \(0.102300\pi\) | |||||||
\(488\) | −18.4633 | + | 65.6341i | −0.0378345 | + | 0.134496i | ||||
\(489\) | −235.409 | − | 80.3883i | −0.481409 | − | 0.164393i | ||||
\(490\) | −101.869 | + | 216.233i | −0.207895 | + | 0.441291i | ||||
\(491\) | −751.660 | −1.53088 | −0.765438 | − | 0.643509i | \(-0.777478\pi\) | ||||
−0.765438 | + | 0.643509i | \(0.777478\pi\) | |||||||
\(492\) | 70.7496 | + | 18.0714i | 0.143800 | + | 0.0367306i | ||||
\(493\) | −144.681 | + | 144.681i | −0.293472 | + | 0.293472i | ||||
\(494\) | −40.4692 | + | 109.772i | −0.0819215 | + | 0.222211i | ||||
\(495\) | −756.904 | + | 30.4448i | −1.52910 | + | 0.0615046i | ||||
\(496\) | 222.223 | − | 35.4003i | 0.448031 | − | 0.0713715i | ||||
\(497\) | 129.893 | − | 129.893i | 0.261353 | − | 0.261353i | ||||
\(498\) | 55.6739 | + | 537.955i | 0.111795 | + | 1.08023i | ||||
\(499\) | 304.485 | 0.610191 | 0.305096 | − | 0.952322i | \(-0.401312\pi\) | ||||
0.305096 | + | 0.952322i | \(0.401312\pi\) | |||||||
\(500\) | 90.5962 | − | 491.724i | 0.181192 | − | 0.983448i | ||||
\(501\) | −338.286 | − | 115.519i | −0.675221 | − | 0.230577i | ||||
\(502\) | 290.007 | − | 133.774i | 0.577704 | − | 0.266481i | ||||
\(503\) | −230.058 | + | 230.058i | −0.457372 | + | 0.457372i | −0.897792 | − | 0.440420i | \(-0.854830\pi\) |
0.440420 | + | 0.897792i | \(0.354830\pi\) | |||||||
\(504\) | 356.812 | + | 52.8166i | 0.707961 | + | 0.104795i | ||||
\(505\) | 608.582 | − | 510.874i | 1.20511 | − | 1.01163i | ||||
\(506\) | 223.519 | − | 606.293i | 0.441738 | − | 1.19821i | ||||
\(507\) | 25.7733 | + | 52.5035i | 0.0508348 | + | 0.103557i | ||||
\(508\) | 41.9947 | + | 530.563i | 0.0826667 | + | 1.04442i | ||||
\(509\) | −98.9386 | −0.194378 | −0.0971892 | − | 0.995266i | \(-0.530985\pi\) | ||||
−0.0971892 | + | 0.995266i | \(0.530985\pi\) | |||||||
\(510\) | −287.088 | + | 296.462i | −0.562918 | + | 0.581299i | ||||
\(511\) | 89.8357i | 0.175804i | ||||||||
\(512\) | 375.274 | − | 348.301i | 0.732956 | − | 0.680276i | ||||
\(513\) | −25.8912 | + | 126.552i | −0.0504702 | + | 0.246690i | ||||
\(514\) | 95.9665 | − | 260.307i | 0.186705 | − | 0.506435i | ||||
\(515\) | −17.6009 | + | 201.654i | −0.0341764 | + | 0.391562i | ||||
\(516\) | 835.454 | − | 495.493i | 1.61910 | − | 0.960257i | ||||
\(517\) | −296.688 | − | 296.688i | −0.573865 | − | 0.573865i | ||||
\(518\) | 130.188 | − | 60.0528i | 0.251328 | − | 0.115932i | ||||
\(519\) | 205.705 | + | 70.2448i | 0.396349 | + | 0.135346i | ||||
\(520\) | −172.879 | + | 457.514i | −0.332460 | + | 0.879835i | ||||
\(521\) | − | 485.997i | − | 0.932816i | −0.884570 | − | 0.466408i | \(-0.845548\pi\) | ||
0.884570 | − | 0.466408i | \(-0.154452\pi\) | |||||||
\(522\) | −59.9791 | + | 260.928i | −0.114902 | + | 0.499863i | ||||
\(523\) | 303.922 | + | 303.922i | 0.581112 | + | 0.581112i | 0.935209 | − | 0.354096i | \(-0.115212\pi\) |
−0.354096 | + | 0.935209i | \(0.615212\pi\) | |||||||
\(524\) | −376.868 | + | 441.655i | −0.719214 | + | 0.842854i | ||||
\(525\) | 329.157 | + | 181.186i | 0.626966 | + | 0.345115i | ||||
\(526\) | 138.849 | − | 376.627i | 0.263972 | − | 0.716021i | ||||
\(527\) | −136.803 | − | 136.803i | −0.259588 | − | 0.259588i | ||||
\(528\) | −465.733 | − | 660.291i | −0.882069 | − | 1.25055i | ||||
\(529\) | 160.623i | 0.303636i | ||||||||
\(530\) | −77.5170 | − | 215.613i | −0.146259 | − | 0.406816i | ||||
\(531\) | −31.1260 | − | 24.0641i | −0.0586176 | − | 0.0453185i | ||||
\(532\) | 7.56456 | + | 95.5710i | 0.0142191 | + | 0.179645i | ||||
\(533\) | −52.6112 | − | 52.6112i | −0.0987077 | − | 0.0987077i | ||||
\(534\) | 435.168 | − | 535.639i | 0.814922 | − | 1.00307i | ||||
\(535\) | 17.3268 | − | 198.514i | 0.0323865 | − | 0.371054i | ||||
\(536\) | 298.717 | + | 532.560i | 0.557308 | + | 0.993583i | ||||
\(537\) | 35.9941 | + | 73.3246i | 0.0670281 | + | 0.136545i | ||||
\(538\) | 0.986826 | − | 0.455200i | 0.00183425 | − | 0.000846097i | ||||
\(539\) | 402.370i | 0.746512i | ||||||||
\(540\) | −112.505 | + | 528.150i | −0.208343 | + | 0.978056i | ||||
\(541\) | −388.275 | −0.717700 | −0.358850 | − | 0.933395i | \(-0.616831\pi\) | ||||
−0.358850 | + | 0.933395i | \(0.616831\pi\) | |||||||
\(542\) | −303.952 | − | 658.936i | −0.560797 | − | 1.21575i | ||||
\(543\) | −744.956 | + | 365.689i | −1.37193 | + | 0.673460i | ||||
\(544\) | −431.835 | − | 85.3962i | −0.793815 | − | 0.156978i | ||||
\(545\) | −612.514 | + | 514.174i | −1.12388 | + | 0.943439i | ||||
\(546\) | −285.254 | − | 231.749i | −0.522444 | − | 0.424448i | ||||
\(547\) | −169.325 | + | 169.325i | −0.309551 | + | 0.309551i | −0.844735 | − | 0.535184i | \(-0.820242\pi\) |
0.535184 | + | 0.844735i | \(0.320242\pi\) | |||||||
\(548\) | 26.8267 | + | 338.929i | 0.0489538 | + | 0.618484i | ||||
\(549\) | 46.9156 | − | 60.6834i | 0.0854565 | − | 0.110534i | ||||
\(550\) | −214.809 | − | 813.812i | −0.390563 | − | 1.47966i | ||||
\(551\) | −71.1604 | −0.129148 | ||||||||
\(552\) | −379.322 | − | 261.343i | −0.687177 | − | 0.473447i | ||||
\(553\) | −313.272 | + | 313.272i | −0.566495 | + | 0.566495i | ||||
\(554\) | 210.253 | + | 77.5132i | 0.379519 | + | 0.139916i | ||||
\(555\) | 77.4705 | + | 200.171i | 0.139586 | + | 0.360668i | ||||
\(556\) | 32.7111 | − | 38.3345i | 0.0588330 | − | 0.0689469i | ||||
\(557\) | −310.481 | + | 310.481i | −0.557417 | + | 0.557417i | −0.928571 | − | 0.371155i | \(-0.878962\pi\) |
0.371155 | + | 0.928571i | \(0.378962\pi\) | |||||||
\(558\) | −246.719 | − | 56.7128i | −0.442149 | − | 0.101636i | ||||
\(559\) | −989.727 | −1.77053 | ||||||||
\(560\) | 28.3959 | + | 399.771i | 0.0507069 | + | 0.713876i | ||||
\(561\) | −224.501 | + | 657.427i | −0.400179 | + | 1.17188i | ||||
\(562\) | −267.027 | − | 578.887i | −0.475137 | − | 1.03005i | ||||
\(563\) | 234.187 | − | 234.187i | 0.415962 | − | 0.415962i | −0.467847 | − | 0.883809i | \(-0.654970\pi\) |
0.883809 | + | 0.467847i | \(0.154970\pi\) | |||||||
\(564\) | −257.259 | + | 152.575i | −0.456132 | + | 0.270524i | ||||
\(565\) | −62.2592 | + | 713.308i | −0.110193 | + | 1.26249i | ||||
\(566\) | 591.898 | + | 218.212i | 1.04576 | + | 0.385534i | ||||
\(567\) | −349.937 | − | 205.445i | −0.617173 | − | 0.362336i | ||||
\(568\) | −79.4360 | + | 282.383i | −0.139852 | + | 0.497153i | ||||
\(569\) | 386.708 | 0.679627 | 0.339813 | − | 0.940493i | \(-0.389636\pi\) | ||||
0.339813 | + | 0.940493i | \(0.389636\pi\) | |||||||
\(570\) | −143.507 | + | 2.30534i | −0.251767 | + | 0.00404446i | ||||
\(571\) | 556.152i | 0.973996i | 0.873403 | + | 0.486998i | \(0.161908\pi\) | ||||
−0.873403 | + | 0.486998i | \(0.838092\pi\) | |||||||
\(572\) | 64.9631 | + | 820.747i | 0.113572 | + | 1.43487i | ||||
\(573\) | 915.656 | − | 449.483i | 1.59800 | − | 0.784439i | ||||
\(574\) | −57.2055 | − | 21.0897i | −0.0996612 | − | 0.0367417i | ||||
\(575\) | −275.379 | − | 392.940i | −0.478920 | − | 0.683374i | ||||
\(576\) | −538.215 | + | 205.184i | −0.934401 | + | 0.356223i | ||||
\(577\) | 695.792 | + | 695.792i | 1.20588 | + | 1.20588i | 0.972350 | + | 0.233530i | \(0.0750277\pi\) |
0.233530 | + | 0.972350i | \(0.424972\pi\) | |||||||
\(578\) | −83.5775 | − | 181.187i | −0.144598 | − | 0.313473i | ||||
\(579\) | 138.451 | − | 405.440i | 0.239121 | − | 0.700242i | ||||
\(580\) | −297.472 | − | 2.40221i | −0.512882 | − | 0.00414174i | ||||
\(581\) | − | 451.566i | − | 0.777223i | ||||||
\(582\) | 720.408 | − | 74.5563i | 1.23781 | − | 0.128104i | ||||
\(583\) | −272.731 | − | 272.731i | −0.467806 | − | 0.467806i | ||||
\(584\) | −70.1805 | − | 125.120i | −0.120172 | − | 0.214246i | ||||
\(585\) | 373.115 | − | 404.389i | 0.637804 | − | 0.691263i | ||||
\(586\) | −199.850 | − | 73.6780i | −0.341042 | − | 0.125730i | ||||
\(587\) | 241.691 | + | 241.691i | 0.411740 | + | 0.411740i | 0.882344 | − | 0.470604i | \(-0.155964\pi\) |
−0.470604 | + | 0.882344i | \(0.655964\pi\) | |||||||
\(588\) | 277.909 | + | 70.9859i | 0.472635 | + | 0.120724i | ||||
\(589\) | − | 67.2853i | − | 0.114236i | ||||||
\(590\) | 18.6305 | − | 39.5462i | 0.0315771 | − | 0.0670274i | ||||
\(591\) | 309.289 | − | 905.721i | 0.523331 | − | 1.53252i | ||||
\(592\) | −134.407 | + | 185.343i | −0.227039 | + | 0.313080i | ||||
\(593\) | 109.471 | + | 109.471i | 0.184605 | + | 0.184605i | 0.793359 | − | 0.608754i | \(-0.208330\pi\) |
−0.608754 | + | 0.793359i | \(0.708330\pi\) | |||||||
\(594\) | 207.579 | + | 885.001i | 0.349459 | + | 1.48990i | ||||
\(595\) | 263.913 | − | 221.542i | 0.443552 | − | 0.372339i | ||||
\(596\) | −67.3082 | + | 78.8791i | −0.112933 | + | 0.132348i | ||||
\(597\) | 772.015 | − | 378.972i | 1.29316 | − | 0.634794i | ||||
\(598\) | 196.596 | + | 426.199i | 0.328755 | + | 0.712707i | ||||
\(599\) | 527.412i | 0.880487i | 0.897878 | + | 0.440243i | \(0.145108\pi\) | ||||
−0.897878 | + | 0.440243i | \(0.854892\pi\) | |||||||
\(600\) | −599.981 | + | 4.79255i | −0.999968 | + | 0.00798759i | ||||
\(601\) | −133.338 | −0.221861 | −0.110930 | − | 0.993828i | \(-0.535383\pi\) | ||||
−0.110930 | + | 0.993828i | \(0.535383\pi\) | |||||||
\(602\) | −736.448 | + | 339.707i | −1.22334 | + | 0.564297i | ||||
\(603\) | −87.1866 | − | 681.388i | −0.144588 | − | 1.13000i | ||||
\(604\) | −609.710 | − | 520.270i | −1.00945 | − | 0.861375i | ||||
\(605\) | −521.984 | − | 621.818i | −0.862783 | − | 1.02780i | ||||
\(606\) | −740.052 | − | 601.239i | −1.22121 | − | 0.992144i | ||||
\(607\) | −401.515 | + | 401.515i | −0.661475 | + | 0.661475i | −0.955728 | − | 0.294253i | \(-0.904929\pi\) |
0.294253 | + | 0.955728i | \(0.404929\pi\) | |||||||
\(608\) | −85.1967 | − | 127.198i | −0.140126 | − | 0.209207i | ||||
\(609\) | 72.2410 | − | 211.550i | 0.118622 | − | 0.347373i | ||||
\(610\) | 77.0995 | + | 36.3222i | 0.126393 | + | 0.0595445i | ||||
\(611\) | 304.763 | 0.498794 | ||||||||
\(612\) | 414.466 | + | 271.041i | 0.677233 | + | 0.442878i | ||||
\(613\) | −604.618 | + | 604.618i | −0.986326 | + | 0.986326i | −0.999908 | − | 0.0135821i | \(-0.995677\pi\) |
0.0135821 | + | 0.999908i | \(0.495677\pi\) | |||||||
\(614\) | −323.350 | + | 877.082i | −0.526629 | + | 1.42847i | ||||
\(615\) | 36.8960 | − | 83.4869i | 0.0599935 | − | 0.135751i | ||||
\(616\) | 330.046 | + | 588.414i | 0.535789 | + | 0.955218i | ||||
\(617\) | −51.5846 | + | 51.5846i | −0.0836055 | + | 0.0836055i | −0.747673 | − | 0.664067i | \(-0.768829\pi\) |
0.664067 | + | 0.747673i | \(0.268829\pi\) | |||||||
\(618\) | 241.615 | − | 25.0051i | 0.390962 | − | 0.0404614i | ||||
\(619\) | 1063.63 | 1.71831 | 0.859155 | − | 0.511716i | \(-0.170990\pi\) | ||||
0.859155 | + | 0.511716i | \(0.170990\pi\) | |||||||
\(620\) | 2.27139 | − | 281.272i | 0.00366354 | − | 0.453665i | ||||
\(621\) | 285.550 | + | 432.444i | 0.459823 | + | 0.696367i | ||||
\(622\) | 48.1816 | − | 22.2251i | 0.0774623 | − | 0.0357316i | ||||
\(623\) | −407.454 | + | 407.454i | −0.654020 | + | 0.654020i | ||||
\(624\) | 578.335 | + | 99.9270i | 0.926819 | + | 0.160139i | ||||
\(625\) | −587.483 | − | 213.282i | −0.939972 | − | 0.341251i | ||||
\(626\) | −128.999 | + | 349.908i | −0.206069 | + | 0.558959i | ||||
\(627\) | −216.884 | + | 106.466i | −0.345908 | + | 0.169802i | ||||
\(628\) | 789.443 | − | 62.4854i | 1.25707 | − | 0.0994990i | ||||
\(629\) | 196.841 | 0.312943 | ||||||||
\(630\) | 138.833 | − | 428.968i | 0.220370 | − | 0.680902i | ||||
\(631\) | − | 834.260i | − | 1.32212i | −0.750331 | − | 0.661062i | \(-0.770106\pi\) | ||
0.750331 | − | 0.661062i | \(-0.229894\pi\) | |||||||
\(632\) | 191.581 | − | 681.043i | 0.303135 | − | 1.07760i | ||||
\(633\) | −243.034 | − | 495.091i | −0.383939 | − | 0.782134i | ||||
\(634\) | 65.1686 | − | 176.769i | 0.102790 | − | 0.278815i | ||||
\(635\) | 662.758 | + | 57.8471i | 1.04371 | + | 0.0910978i | ||||
\(636\) | −236.485 | + | 140.255i | −0.371832 | + | 0.220527i | ||||
\(637\) | −206.661 | − | 206.661i | −0.324428 | − | 0.324428i | ||||
\(638\) | −454.725 | + | 209.754i | −0.712735 | + | 0.328768i | ||||
\(639\) | 201.849 | − | 261.083i | 0.315882 | − | 0.408581i | ||||
\(640\) | −351.854 | − | 534.602i | −0.549771 | − | 0.835315i | ||||
\(641\) | 104.566i | 0.163130i | 0.996668 | + | 0.0815648i | \(0.0259918\pi\) | ||||
−0.996668 | + | 0.0815648i | \(0.974008\pi\) | |||||||
\(642\) | −237.852 | + | 24.6157i | −0.370486 | + | 0.0383423i | ||||
\(643\) | 357.160 | + | 357.160i | 0.555459 | + | 0.555459i | 0.928011 | − | 0.372552i | \(-0.121517\pi\) |
−0.372552 | + | 0.928011i | \(0.621517\pi\) | |||||||
\(644\) | 292.571 | + | 249.653i | 0.454303 | + | 0.387660i | ||||
\(645\) | −438.235 | − | 1132.33i | −0.679435 | − | 1.75554i | ||||
\(646\) | −45.5299 | + | 123.499i | −0.0704797 | + | 0.191175i | ||||
\(647\) | 428.808 | + | 428.808i | 0.662764 | + | 0.662764i | 0.956031 | − | 0.293266i | \(-0.0947423\pi\) |
−0.293266 | + | 0.956031i | \(0.594742\pi\) | |||||||
\(648\) | 647.874 | + | 12.7606i | 0.999806 | + | 0.0196923i | ||||
\(649\) | − | 73.5884i | − | 0.113387i | ||||||
\(650\) | 528.308 | + | 307.653i | 0.812782 | + | 0.473312i | ||||
\(651\) | 200.030 | + | 68.3070i | 0.307266 | + | 0.104926i | ||||
\(652\) | −330.641 | + | 26.1706i | −0.507118 | + | 0.0401390i | ||||
\(653\) | −216.356 | − | 216.356i | −0.331327 | − | 0.331327i | 0.521763 | − | 0.853090i | \(-0.325274\pi\) |
−0.853090 | + | 0.521763i | \(0.825274\pi\) | |||||||
\(654\) | 744.833 | + | 605.123i | 1.13889 | + | 0.925265i | ||||
\(655\) | 466.612 | + | 555.855i | 0.712385 | + | 0.848634i | ||||
\(656\) | 96.1491 | − | 15.3166i | 0.146569 | − | 0.0233485i | ||||
\(657\) | 20.4836 | + | 160.085i | 0.0311775 | + | 0.243661i | ||||
\(658\) | 226.772 | − | 104.605i | 0.344638 | − | 0.158974i | ||||
\(659\) | − | 862.678i | − | 1.30907i | −0.756031 | − | 0.654535i | \(-0.772864\pi\) | ||
0.756031 | − | 0.654535i | \(-0.227136\pi\) | |||||||
\(660\) | −910.236 | + | 437.737i | −1.37915 | + | 0.663238i | ||||
\(661\) | 56.1770 | 0.0849879 | 0.0424939 | − | 0.999097i | \(-0.486470\pi\) | ||||
0.0424939 | + | 0.999097i | \(0.486470\pi\) | |||||||
\(662\) | −238.708 | − | 517.494i | −0.360587 | − | 0.781714i | ||||
\(663\) | −222.355 | − | 452.966i | −0.335377 | − | 0.683206i | ||||
\(664\) | 352.768 | + | 628.924i | 0.531277 | + | 0.947175i | ||||
\(665\) | 119.384 | + | 10.4201i | 0.179524 | + | 0.0156693i | ||||
\(666\) | 218.299 | − | 136.697i | 0.327777 | − | 0.205251i | ||||
\(667\) | −201.865 | + | 201.865i | −0.302646 | + | 0.302646i | ||||
\(668\) | −475.135 | + | 37.6075i | −0.711281 | + | 0.0562987i | ||||
\(669\) | −28.1919 | − | 9.62707i | −0.0421404 | − | 0.0143902i | ||||
\(670\) | 718.261 | − | 258.229i | 1.07203 | − | 0.385417i | ||||
\(671\) | 143.468 | 0.213813 | ||||||||
\(672\) | 464.633 | − | 124.149i | 0.691419 | − | 0.184745i | ||||
\(673\) | 236.472 | − | 236.472i | 0.351371 | − | 0.351371i | −0.509249 | − | 0.860619i | \(-0.670077\pi\) |
0.860619 | + | 0.509249i | \(0.170077\pi\) | |||||||
\(674\) | −780.659 | − | 287.802i | −1.15825 | − | 0.427006i | ||||
\(675\) | 627.863 | + | 247.817i | 0.930167 | + | 0.367136i | ||||
\(676\) | 59.3223 | + | 50.6203i | 0.0877550 | + | 0.0748820i | ||||
\(677\) | −754.987 | + | 754.987i | −1.11520 | + | 1.11520i | −0.122759 | + | 0.992437i | \(0.539174\pi\) |
−0.992437 | + | 0.122759i | \(0.960826\pi\) | |||||||
\(678\) | 854.659 | − | 88.4502i | 1.26056 | − | 0.130458i | ||||
\(679\) | −604.720 | −0.890604 | ||||||||
\(680\) | −194.498 | + | 514.726i | −0.286026 | + | 0.756950i | ||||
\(681\) | 147.224 | + | 50.2744i | 0.216187 | + | 0.0738244i | ||||
\(682\) | −198.332 | − | 429.962i | −0.290809 | − | 0.630443i | ||||
\(683\) | 848.561 | − | 848.561i | 1.24240 | − | 1.24240i | 0.283401 | − | 0.959002i | \(-0.408537\pi\) |
0.959002 | − | 0.283401i | \(-0.0914626\pi\) | |||||||
\(684\) | 35.2712 | + | 168.581i | 0.0515661 | + | 0.246463i | ||||
\(685\) | 423.377 | + | 36.9534i | 0.618069 | + | 0.0539466i | ||||
\(686\) | −685.353 | − | 252.666i | −0.999057 | − | 0.368318i | ||||
\(687\) | 357.098 | + | 727.455i | 0.519794 | + | 1.05889i | ||||
\(688\) | 760.314 | − | 1048.45i | 1.10511 | − | 1.52391i | ||||
\(689\) | 280.154 | 0.406609 | ||||||||
\(690\) | −400.556 | + | 413.635i | −0.580516 | + | 0.599471i | ||||
\(691\) | − | 973.366i | − | 1.40863i | −0.709886 | − | 0.704317i | \(-0.751253\pi\) | ||
0.709886 | − | 0.704317i | \(-0.248747\pi\) | |||||||
\(692\) | 288.920 | − | 22.8684i | 0.417515 | − | 0.0330468i | ||||
\(693\) | −96.3306 | − | 752.851i | −0.139005 | − | 1.08637i | ||||
\(694\) | −727.289 | − | 268.127i | −1.04797 | − | 0.386350i | ||||
\(695\) | −40.5006 | − | 48.2467i | −0.0582743 | − | 0.0694197i | ||||
\(696\) | 64.6509 | + | 351.074i | 0.0928892 | + | 0.504417i | ||||
\(697\) | −59.1903 | − | 59.1903i | −0.0849215 | − | 0.0849215i | ||||
\(698\) | 108.213 | + | 234.594i | 0.155033 | + | 0.336094i | ||||
\(699\) | −221.682 | − | 75.7008i | −0.317142 | − | 0.108299i | ||||
\(700\) | 498.707 | + | 47.5892i | 0.712438 | + | 0.0679845i | ||||
\(701\) | − | 8.02635i | − | 0.0114499i | −0.999984 | − | 0.00572493i | \(-0.998178\pi\) | ||
0.999984 | − | 0.00572493i | \(-0.00182231\pi\) | |||||||
\(702\) | −561.158 | − | 347.930i | −0.799371 | − | 0.495626i | ||||
\(703\) | 48.4074 | + | 48.4074i | 0.0688583 | + | 0.0688583i | ||||
\(704\) | −919.350 | − | 561.685i | −1.30590 | − | 0.797848i | ||||
\(705\) | 134.944 | + | 348.673i | 0.191410 | + | 0.494572i | ||||
\(706\) | 1013.09 | + | 373.490i | 1.43497 | + | 0.529023i | ||||
\(707\) | 562.949 | + | 562.949i | 0.796250 | + | 0.796250i | ||||
\(708\) | −50.8261 | − | 12.9824i | −0.0717883 | − | 0.0183368i | ||||
\(709\) | 378.225i | 0.533463i | 0.963771 | + | 0.266731i | \(0.0859437\pi\) | ||||
−0.963771 | + | 0.266731i | \(0.914056\pi\) | |||||||
\(710\) | 331.712 | + | 156.272i | 0.467199 | + | 0.220101i | ||||
\(711\) | −486.813 | + | 629.673i | −0.684688 | + | 0.885615i | ||||
\(712\) | 249.179 | − | 885.794i | 0.349970 | − | 1.24409i | ||||
\(713\) | −190.872 | − | 190.872i | −0.267703 | − | 0.267703i | ||||
\(714\) | −320.925 | − | 260.729i | −0.449475 | − | 0.365166i | ||||
\(715\) | 1025.24 | + | 89.4858i | 1.43391 | + | 0.125155i | ||||
\(716\) | 82.8476 | + | 70.6946i | 0.115709 | + | 0.0987354i | ||||
\(717\) | 60.9924 | + | 124.249i | 0.0850660 | + | 0.173291i | ||||
\(718\) | −175.688 | − | 380.872i | −0.244690 | − | 0.530463i | ||||
\(719\) | − | 901.949i | − | 1.25445i | −0.778838 | − | 0.627225i | \(-0.784191\pi\) | ||
0.778838 | − | 0.627225i | \(-0.215809\pi\) | |||||||
\(720\) | 141.753 | + | 705.908i | 0.196880 | + | 0.980428i | ||||
\(721\) | −202.815 | −0.281296 | ||||||||
\(722\) | 614.044 | − | 283.245i | 0.850477 | − | 0.392305i | ||||
\(723\) | −571.365 | + | 280.476i | −0.790270 | + | 0.387933i | ||||
\(724\) | −718.236 | + | 841.707i | −0.992038 | + | 1.16258i | ||||
\(725\) | −64.4215 | + | 366.229i | −0.0888572 | + | 0.505143i | ||||
\(726\) | −614.315 | + | 756.146i | −0.846163 | + | 1.04152i | ||||
\(727\) | −647.476 | + | 647.476i | −0.890613 | + | 0.890613i | −0.994581 | − | 0.103967i | \(-0.966846\pi\) |
0.103967 | + | 0.994581i | \(0.466846\pi\) | |||||||
\(728\) | −471.729 | − | 132.700i | −0.647979 | − | 0.182280i | ||||
\(729\) | −670.424 | − | 286.308i | −0.919649 | − | 0.392740i | ||||
\(730\) | −168.748 | + | 60.6683i | −0.231162 | + | 0.0831073i | ||||
\(731\) | −1113.49 | −1.52325 | ||||||||
\(732\) | 25.3106 | − | 99.0909i | 0.0345773 | − | 0.135370i | ||||
\(733\) | −664.993 | + | 664.993i | −0.907221 | + | 0.907221i | −0.996047 | − | 0.0888262i | \(-0.971688\pi\) |
0.0888262 | + | 0.996047i | \(0.471688\pi\) | |||||||
\(734\) | −4.18404 | + | 11.3491i | −0.00570033 | + | 0.0154620i | ||||
\(735\) | 144.930 | − | 327.942i | 0.197184 | − | 0.446180i | ||||
\(736\) | −602.513 | − | 119.148i | −0.818631 | − | 0.161886i | ||||
\(737\) | 908.537 | − | 908.537i | 1.23275 | − | 1.23275i | ||||
\(738\) | −106.748 | − | 24.5379i | −0.144645 | − | 0.0332492i | ||||
\(739\) | 605.307 | 0.819090 | 0.409545 | − | 0.912290i | \(-0.365687\pi\) | ||||
0.409545 | + | 0.912290i | \(0.365687\pi\) | |||||||
\(740\) | 200.723 | + | 203.991i | 0.271247 | + | 0.275664i | ||||
\(741\) | 56.7120 | − | 166.075i | 0.0765344 | − | 0.224123i | ||||
\(742\) | 208.460 | − | 96.1580i | 0.280944 | − | 0.129593i | ||||
\(743\) | −149.548 | + | 149.548i | −0.201275 | + | 0.201275i | −0.800546 | − | 0.599271i | \(-0.795457\pi\) |
0.599271 | + | 0.800546i | \(0.295457\pi\) | |||||||
\(744\) | −331.956 | + | 61.1303i | −0.446178 | + | 0.0821643i | ||||
\(745\) | 83.3363 | + | 99.2751i | 0.111861 | + | 0.133255i | ||||
\(746\) | −355.954 | + | 965.519i | −0.477150 | + | 1.29426i | ||||
\(747\) | −102.963 | − | 804.681i | −0.137835 | − | 1.07722i | ||||
\(748\) | 73.0868 | + | 923.382i | 0.0977096 | + | 1.23447i | ||||
\(749\) | 199.656 | 0.266564 | ||||||||
\(750\) | −118.052 | + | 740.651i | −0.157403 | + | 0.987534i | ||||
\(751\) | − | 988.027i | − | 1.31562i | −0.753186 | − | 0.657808i | \(-0.771484\pi\) | ||
0.753186 | − | 0.657808i | \(-0.228516\pi\) | |||||||
\(752\) | −234.121 | + | 322.846i | −0.311331 | + | 0.429316i | ||||
\(753\) | −430.041 | + | 211.101i | −0.571103 | + | 0.280347i | ||||
\(754\) | 125.819 | − | 341.282i | 0.166869 | − | 0.452629i | ||||
\(755\) | −767.364 | + | 644.162i | −1.01638 | + | 0.853195i | ||||
\(756\) | −536.975 | − | 66.2839i | −0.710284 | − | 0.0876771i | ||||
\(757\) | 590.607 | + | 590.607i | 0.780195 | + | 0.780195i | 0.979863 | − | 0.199669i | \(-0.0639866\pi\) |
−0.199669 | + | 0.979863i | \(0.563987\pi\) | |||||||
\(758\) | 1330.07 | − | 613.532i | 1.75471 | − | 0.809410i | ||||
\(759\) | −313.231 | + | 917.267i | −0.412690 | + | 1.20852i | ||||
\(760\) | −174.413 | + | 78.7509i | −0.229491 | + | 0.103620i | ||||
\(761\) | 354.692i | 0.466087i | 0.972466 | + | 0.233043i | \(0.0748684\pi\) | ||||
−0.972466 | + | 0.233043i | \(0.925132\pi\) | |||||||
\(762\) | −82.1820 | − | 794.092i | −0.107850 | − | 1.04212i | ||||
\(763\) | −566.586 | − | 566.586i | −0.742576 | − | 0.742576i | ||||
\(764\) | 882.813 | − | 1034.58i | 1.15551 | − | 1.35416i | ||||
\(765\) | 419.774 | − | 454.958i | 0.548724 | − | 0.594716i | ||||
\(766\) | −335.823 | + | 910.914i | −0.438411 | + | 1.18918i | ||||
\(767\) | 37.7956 | + | 37.7956i | 0.0492772 | + | 0.0492772i | ||||
\(768\) | −550.137 | + | 535.886i | −0.716324 | + | 0.697768i | ||||
\(769\) | − | 262.078i | − | 0.340804i | −0.985375 | − | 0.170402i | \(-0.945493\pi\) | ||
0.985375 | − | 0.170402i | \(-0.0545067\pi\) | |||||||
\(770\) | 793.592 | − | 285.312i | 1.03064 | − | 0.370535i | ||||
\(771\) | −134.484 | + | 393.822i | −0.174428 | + | 0.510794i | ||||
\(772\) | −45.0732 | − | 569.456i | −0.0583849 | − | 0.737638i | ||||
\(773\) | 616.984 | + | 616.984i | 0.798168 | + | 0.798168i | 0.982806 | − | 0.184639i | \(-0.0591115\pi\) |
−0.184639 | + | 0.982806i | \(0.559112\pi\) | |||||||
\(774\) | −1234.88 | + | 773.269i | −1.59545 | + | 0.999056i | ||||
\(775\) | −346.285 | − | 60.9133i | −0.446820 | − | 0.0785978i | ||||
\(776\) | 842.231 | − | 472.413i | 1.08535 | − | 0.608780i | ||||
\(777\) | −193.051 | + | 94.7662i | −0.248457 | + | 0.121964i | ||||
\(778\) | −1090.70 | + | 503.117i | −1.40193 | + | 0.646679i | ||||
\(779\) | − | 29.1122i | − | 0.0373713i | ||||||
\(780\) | 242.679 | − | 692.330i | 0.311127 | − | 0.887603i | ||||
\(781\) | 617.256 | 0.790340 | ||||||||
\(782\) | 221.180 | + | 479.495i | 0.282839 | + | 0.613165i | ||||
\(783\) | 80.4958 | − | 393.450i | 0.102804 | − | 0.502490i | ||||
\(784\) | 377.681 | − | 60.1647i | 0.481735 | − | 0.0767407i | ||||
\(785\) | 86.0727 | − | 986.141i | 0.109647 | − | 1.25623i | ||||
\(786\) | 549.148 | − | 675.934i | 0.698662 | − | 0.859967i | ||||
\(787\) | −471.258 | + | 471.258i | −0.598803 | + | 0.598803i | −0.939994 | − | 0.341191i | \(-0.889170\pi\) |
0.341191 | + | 0.939994i | \(0.389170\pi\) | |||||||
\(788\) | −100.690 | − | 1272.12i | −0.127779 | − | 1.61437i | ||||
\(789\) | −194.578 | + | 569.802i | −0.246614 | + | 0.722183i | ||||
\(790\) | −800.012 | − | 376.892i | −1.01267 | − | 0.477078i | ||||
\(791\) | −717.412 | −0.906969 | ||||||||
\(792\) | 722.300 | + | 973.287i | 0.911995 | + | 1.22890i | ||||
\(793\) | −73.6865 | + | 73.6865i | −0.0929212 | + | 0.0929212i | ||||
\(794\) | 783.636 | + | 288.900i | 0.986947 | + | 0.363853i | ||||
\(795\) | 124.048 | + | 320.518i | 0.156035 | + | 0.403168i | ||||
\(796\) | 744.324 | − | 872.281i | 0.935081 | − | 1.09583i | ||||
\(797\) | 485.701 | − | 485.701i | 0.609411 | − | 0.609411i | −0.333381 | − | 0.942792i | \(-0.608189\pi\) |
0.942792 | + | 0.333381i | \(0.108189\pi\) | |||||||
\(798\) | −14.8036 | − | 143.041i | −0.0185508 | − | 0.179249i | ||||
\(799\) | 342.874 | 0.429129 | ||||||||
\(800\) | −731.757 | + | 323.315i | −0.914696 | + | 0.404143i | ||||
\(801\) | −633.170 | + | 818.979i | −0.790474 | + | 1.02245i | ||||
\(802\) | 251.663 | + | 545.578i | 0.313794 | + | 0.680271i | ||||
\(803\) | −213.451 | + | 213.451i | −0.265818 | + | 0.265818i | ||||
\(804\) | −467.226 | − | 787.793i | −0.581127 | − | 0.979842i | ||||
\(805\) | 368.222 | − | 309.103i | 0.457418 | − | 0.383979i | ||||
\(806\) | 322.697 | + | 118.967i | 0.400368 | + | 0.147602i | ||||
\(807\) | −1.46333 | + | 0.718328i | −0.00181329 | + | 0.000890122i | ||||
\(808\) | −1223.83 | − | 344.272i | −1.51465 | − | 0.426079i | ||||
\(809\) | 183.688 | 0.227056 | 0.113528 | − | 0.993535i | \(-0.463785\pi\) | ||||
0.113528 | + | 0.993535i | \(0.463785\pi\) | |||||||
\(810\) | 149.587 | − | 796.068i | 0.184676 | − | 0.982800i | ||||
\(811\) | 1332.68i | 1.64325i | 0.570027 | + | 0.821626i | \(0.306933\pi\) | ||||
−0.570027 | + | 0.821626i | \(0.693067\pi\) | |||||||
\(812\) | −23.5182 | − | 297.131i | −0.0289634 | − | 0.365924i | ||||
\(813\) | 479.651 | + | 977.111i | 0.589977 | + | 1.20186i | ||||
\(814\) | 452.016 | + | 166.643i | 0.555303 | + | 0.204721i | ||||
\(815\) | −36.0497 | + | 413.023i | −0.0442327 | + | 0.506777i | ||||
\(816\) | 650.656 | + | 112.423i | 0.797373 | + | 0.137773i | ||||
\(817\) | −273.831 | − | 273.831i | −0.335166 | − | 0.335166i | ||||
\(818\) | −45.0829 | − | 97.7350i | −0.0551136 | − | 0.119480i | ||||
\(819\) | 436.147 | + | 337.194i | 0.532536 | + | 0.411715i | ||||
\(820\) | 0.982761 | − | 121.698i | 0.00119849 | − | 0.148412i | ||||
\(821\) | 1157.86i | 1.41030i | 0.709057 | + | 0.705152i | \(0.249121\pi\) | ||||
−0.709057 | + | 0.705152i | \(0.750879\pi\) | |||||||
\(822\) | −52.4988 | − | 507.275i | −0.0638672 | − | 0.617123i | ||||
\(823\) | −420.085 | − | 420.085i | −0.510432 | − | 0.510432i | 0.404227 | − | 0.914659i | \(-0.367541\pi\) |
−0.914659 | + | 0.404227i | \(0.867541\pi\) | |||||||
\(824\) | 282.472 | − | 158.441i | 0.342806 | − | 0.192282i | ||||
\(825\) | 351.583 | + | 1212.58i | 0.426162 | + | 1.46980i | ||||
\(826\) | 41.0961 | + | 15.1507i | 0.0497532 | + | 0.0183423i | ||||
\(827\) | −450.627 | − | 450.627i | −0.544893 | − | 0.544893i | 0.380066 | − | 0.924959i | \(-0.375901\pi\) |
−0.924959 | + | 0.380066i | \(0.875901\pi\) | |||||||
\(828\) | 578.279 | + | 378.167i | 0.698404 | + | 0.456723i | ||||
\(829\) | − | 1059.56i | − | 1.27812i | −0.769155 | − | 0.639062i | \(-0.779323\pi\) | ||
0.769155 | − | 0.639062i | \(-0.220677\pi\) | |||||||
\(830\) | 848.227 | − | 304.954i | 1.02196 | − | 0.367415i | ||||
\(831\) | −318.094 | − | 108.624i | −0.382785 | − | 0.130715i | ||||
\(832\) | 760.672 | − | 183.700i | 0.914270 | − | 0.220793i | ||||
\(833\) | −232.504 | − | 232.504i | −0.279116 | − | 0.279116i | ||||
\(834\) | −47.6646 | + | 58.6692i | −0.0571517 | + | 0.0703468i | ||||
\(835\) | −51.8039 | + | 593.520i | −0.0620406 | + | 0.710803i | ||||
\(836\) | −209.105 | + | 245.052i | −0.250126 | + | 0.293125i | ||||
\(837\) | 372.024 | + | 76.1123i | 0.444473 | + | 0.0909346i | ||||
\(838\) | 488.053 | + | 1058.05i | 0.582402 | + | 1.26259i | ||||
\(839\) | − | 425.692i | − | 0.507380i | −0.967286 | − | 0.253690i | \(-0.918356\pi\) | ||
0.967286 | − | 0.253690i | \(-0.0816443\pi\) | |||||||
\(840\) | −57.0546 | − | 598.453i | −0.0679221 | − | 0.712444i | ||||
\(841\) | −619.762 | −0.736935 | ||||||||
\(842\) | −883.855 | + | 407.702i | −1.04971 | + | 0.484207i | ||||
\(843\) | 421.382 | + | 858.410i | 0.499860 | + | 1.01828i | ||||
\(844\) | −559.391 | − | 477.333i | −0.662786 | − | 0.565560i | ||||
\(845\) | 74.6615 | − | 62.6745i | 0.0883568 | − | 0.0741710i | ||||
\(846\) | 380.252 | − | 238.110i | 0.449470 | − | 0.281454i | ||||
\(847\) | 575.192 | − | 575.192i | 0.679093 | − | 0.679093i | ||||
\(848\) | −215.216 | + | 296.776i | −0.253792 | + | 0.349972i | ||||
\(849\) | −895.488 | − | 305.794i | −1.05476 | − | 0.360182i | ||||
\(850\) | 594.373 | + | 346.125i | 0.699263 | + | 0.407205i | ||||
\(851\) | 274.640 | 0.322726 | ||||||||
\(852\) | 108.896 | − | 426.327i | 0.127812 | − | 0.500384i | ||||
\(853\) | 533.860 | − | 533.860i | 0.625861 | − | 0.625861i | −0.321163 | − | 0.947024i | \(-0.604074\pi\) |
0.947024 | + | 0.321163i | \(0.104074\pi\) | |||||||
\(854\) | −29.5380 | + | 80.1213i | −0.0345878 | + | 0.0938188i | ||||
\(855\) | 215.115 | − | 8.65251i | 0.251596 | − | 0.0101199i | ||||
\(856\) | −278.073 | + | 155.973i | −0.324852 | + | 0.182212i | ||||
\(857\) | −575.339 | + | 575.339i | −0.671340 | + | 0.671340i | −0.958025 | − | 0.286685i | \(-0.907447\pi\) |
0.286685 | + | 0.958025i | \(0.407447\pi\) | |||||||
\(858\) | −127.130 | − | 1228.41i | −0.148171 | − | 1.43171i | ||||
\(859\) | −730.948 | −0.850929 | −0.425465 | − | 0.904975i | \(-0.639889\pi\) | ||||
−0.425465 | + | 0.904975i | \(0.639889\pi\) | |||||||
\(860\) | −1135.45 | − | 1153.94i | −1.32029 | − | 1.34179i | ||||
\(861\) | 86.5468 | + | 29.5543i | 0.100519 | + | 0.0343256i | ||||
\(862\) | −1007.28 | + | 464.635i | −1.16854 | + | 0.539019i | ||||
\(863\) | −503.710 | + | 503.710i | −0.583673 | + | 0.583673i | −0.935911 | − | 0.352238i | \(-0.885421\pi\) |
0.352238 | + | 0.935911i | \(0.385421\pi\) | |||||||
\(864\) | 799.659 | − | 327.172i | 0.925531 | − | 0.378672i | ||||
\(865\) | 31.5009 | − | 360.908i | 0.0364172 | − | 0.417235i | ||||
\(866\) | −149.601 | + | 405.789i | −0.172749 | + | 0.468579i | ||||
\(867\) | 131.889 | + | 268.676i | 0.152122 | + | 0.309891i | ||||
\(868\) | 280.950 | − | 22.2375i | 0.323675 | − | 0.0256193i | ||||
\(869\) | −1488.68 | −1.71310 | ||||||||
\(870\) | 446.164 | − | 7.16732i | 0.512833 | − | 0.00823830i | ||||
\(871\) | 933.264i | 1.07149i | ||||||||
\(872\) | 1231.74 | + | 346.496i | 1.41255 | + | 0.397358i | ||||
\(873\) | −1077.60 | + | 137.883i | −1.23436 | + | 0.157942i | ||||
\(874\) | −63.5250 | + | 172.311i | −0.0726831 | + | 0.197152i | ||||
\(875\) | 161.705 | − | 604.977i | 0.184806 | − | 0.691402i | ||||
\(876\) | 109.770 | + | 185.084i | 0.125308 | + | 0.211283i | ||||
\(877\) | −1002.77 | − | 1002.77i | −1.14341 | − | 1.14341i | −0.987822 | − | 0.155586i | \(-0.950273\pi\) |
−0.155586 | − | 0.987822i | \(-0.549727\pi\) | |||||||
\(878\) | −397.407 | + | 183.315i | −0.452627 | + | 0.208787i | ||||
\(879\) | 302.356 | + | 103.249i | 0.343977 | + | 0.117462i | ||||
\(880\) | −882.395 | + | 1017.33i | −1.00272 | + | 1.15606i | ||||
\(881\) | − | 1337.17i | − | 1.51779i | −0.651213 | − | 0.758895i | \(-0.725739\pi\) | ||
0.651213 | − | 0.758895i | \(-0.274261\pi\) | |||||||
\(882\) | −419.312 | − | 96.3865i | −0.475411 | − | 0.109282i | ||||
\(883\) | 29.5709 | + | 29.5709i | 0.0334891 | + | 0.0334891i | 0.723653 | − | 0.690164i | \(-0.242462\pi\) |
−0.690164 | + | 0.723653i | \(0.742462\pi\) | |||||||
\(884\) | −511.795 | − | 436.719i | −0.578953 | − | 0.494026i | ||||
\(885\) | −26.5059 | + | 59.9765i | −0.0299502 | + | 0.0677701i | ||||
\(886\) | 39.1314 | − | 106.143i | 0.0441664 | − | 0.119801i | ||||
\(887\) | −815.068 | − | 815.068i | −0.918904 | − | 0.918904i | 0.0780457 | − | 0.996950i | \(-0.475132\pi\) |
−0.996950 | + | 0.0780457i | \(0.975132\pi\) | |||||||
\(888\) | 194.842 | − | 282.800i | 0.219416 | − | 0.318469i | ||||
\(889\) | 666.572i | 0.749799i | ||||||||
\(890\) | −1040.53 | − | 490.202i | −1.16914 | − | 0.550788i | ||||
\(891\) | −343.318 | − | 1319.60i | −0.385318 | − | 1.48103i | ||||
\(892\) | −39.5966 | + | 3.13412i | −0.0443908 | + | 0.00351359i | ||||
\(893\) | 84.3198 | + | 84.3198i | 0.0944231 | + | 0.0944231i | ||||
\(894\) | 98.0772 | − | 120.721i | 0.109706 | − | 0.135035i | ||||
\(895\) | 104.270 | − | 87.5291i | 0.116502 | − | 0.0977978i | ||||
\(896\) | 502.959 | − | 397.778i | 0.561338 | − | 0.443948i | ||||
\(897\) | −310.238 | − | 631.994i | −0.345861 | − | 0.704564i | ||||
\(898\) | 429.454 | − | 198.097i | 0.478234 | − | 0.220598i | ||||
\(899\) | 209.190i | 0.232692i | ||||||||
\(900\) | 899.536 | − | 28.9083i | 0.999484 | − | 0.0321203i | ||||
\(901\) | 315.187 | 0.349819 | ||||||||
\(902\) | −85.8120 | − | 186.031i | −0.0951352 | − | 0.206243i | ||||
\(903\) | 1092.05 | − | 536.074i | 1.20936 | − | 0.593659i | ||||
\(904\) | 999.183 | − | 560.449i | 1.10529 | − | 0.619966i | ||||
\(905\) | 889.269 | + | 1059.35i | 0.982618 | + | 1.17055i | ||||
\(906\) | 933.134 | + | 758.104i | 1.02995 | + | 0.836760i | ||||
\(907\) | 551.789 | − | 551.789i | 0.608367 | − | 0.608367i | −0.334152 | − | 0.942519i | \(-0.608450\pi\) |
0.942519 | + | 0.334152i | \(0.108450\pi\) | |||||||
\(908\) | 206.781 | − | 16.3670i | 0.227733 | − | 0.0180253i | ||||
\(909\) | 1131.52 | + | 874.803i | 1.24480 | + | 0.962380i | ||||
\(910\) | −261.057 | + | 554.134i | −0.286875 | + | 0.608938i | ||||
\(911\) | 1547.30 | 1.69846 | 0.849231 | − | 0.528022i | \(-0.177066\pi\) | ||||
0.849231 | + | 0.528022i | \(0.177066\pi\) | |||||||
\(912\) | 132.363 | + | 187.657i | 0.145135 | + | 0.205764i | ||||
\(913\) | 1072.93 | − | 1072.93i | 1.17517 | − | 1.17517i | ||||
\(914\) | 644.364 | + | 237.555i | 0.704993 | + | 0.259907i | ||||
\(915\) | −116.931 | − | 51.6761i | −0.127793 | − | 0.0564766i | ||||
\(916\) | 821.934 | + | 701.363i | 0.897307 | + | 0.765680i | ||||
\(917\) | −514.175 | + | 514.175i | −0.560715 | + | 0.560715i | ||||
\(918\) | −631.331 | − | 391.438i | −0.687725 | − | 0.426403i | ||||
\(919\) | 1012.94 | 1.10222 | 0.551109 | − | 0.834433i | \(-0.314205\pi\) | ||||
0.551109 | + | 0.834433i | \(0.314205\pi\) | |||||||
\(920\) | −271.370 | + | 718.165i | −0.294968 | + | 0.780614i | ||||
\(921\) | 453.130 | − | 1326.95i | 0.491998 | − | 1.44077i | ||||
\(922\) | 536.794 | + | 1163.71i | 0.582207 | + | 1.26216i | ||||
\(923\) | −317.028 | + | 317.028i | −0.343475 | + | 0.343475i | ||||
\(924\) | −516.228 | − | 870.416i | −0.558688 | − | 0.942008i | ||||
\(925\) | 292.953 | − | 205.307i | 0.316706 | − | 0.221953i | ||||
\(926\) | −431.990 | − | 159.260i | −0.466512 | − | 0.171987i | ||||
\(927\) | −361.411 | + | 46.2441i | −0.389872 | + | 0.0498858i | ||||
\(928\) | 264.877 | + | 395.459i | 0.285427 | + | 0.426141i | ||||
\(929\) | 1529.05 | 1.64591 | 0.822955 | − | 0.568106i | \(-0.192324\pi\) | ||||
0.822955 | + | 0.568106i | \(0.192324\pi\) | |||||||
\(930\) | 6.77702 | + | 421.868i | 0.00728711 | + | 0.453622i | ||||
\(931\) | − | 114.355i | − | 0.122830i | ||||||
\(932\) | −311.361 | + | 24.6446i | −0.334079 | + | 0.0264427i | ||||
\(933\) | −71.4467 | + | 35.0722i | −0.0765773 | + | 0.0375908i | ||||
\(934\) | 1127.78 | + | 415.772i | 1.20747 | + | 0.445152i | ||||
\(935\) | 1153.45 | + | 100.676i | 1.23364 | + | 0.107675i | ||||
\(936\) | −870.868 | − | 128.909i | −0.930414 | − | 0.137723i | ||||
\(937\) | 662.561 | + | 662.561i | 0.707109 | + | 0.707109i | 0.965926 | − | 0.258818i | \(-0.0833328\pi\) |
−0.258818 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(938\) | 320.327 | + | 694.435i | 0.341500 | + | 0.740336i | ||||
\(939\) | 180.774 | − | 529.380i | 0.192518 | − | 0.563769i | ||||
\(940\) | 349.636 | + | 355.328i | 0.371953 | + | 0.378009i | ||||
\(941\) | − | 961.186i | − | 1.02145i | −0.859744 | − | 0.510726i | \(-0.829377\pi\) | ||
0.859744 | − | 0.510726i | \(-0.170623\pi\) | |||||||
\(942\) | −1181.56 | + | 122.281i | −1.25431 | + | 0.129811i | ||||
\(943\) | −82.5844 | − | 82.5844i | −0.0875763 | − | 0.0875763i | ||||
\(944\) | −69.0730 | + | 11.0034i | −0.0731706 | + | 0.0116561i | ||||
\(945\) | −192.658 | + | 648.291i | −0.203871 | + | 0.686023i | ||||
\(946\) | −2556.97 | − | 942.667i | −2.70293 | − | 0.996476i | ||||
\(947\) | 1259.29 | + | 1259.29i | 1.32977 | + | 1.32977i | 0.905568 | + | 0.424202i | \(0.139445\pi\) |
0.424202 | + | 0.905568i | \(0.360555\pi\) | |||||||
\(948\) | −262.632 | + | 1028.20i | −0.277038 | + | 1.08460i | ||||
\(949\) | − | 219.261i | − | 0.231044i | ||||||
\(950\) | 61.0496 | + | 231.288i | 0.0642627 | + | 0.243461i | ||||
\(951\) | −91.3247 | + | 267.435i | −0.0960302 | + | 0.281215i | ||||
\(952\) | −530.719 | − | 149.294i | −0.557478 | − | 0.156822i | ||||
\(953\) | 62.1880 | + | 62.1880i | 0.0652550 | + | 0.0652550i | 0.738981 | − | 0.673726i | \(-0.235307\pi\) |
−0.673726 | + | 0.738981i | \(0.735307\pi\) | |||||||
\(954\) | 349.546 | − | 218.883i | 0.366401 | − | 0.229437i | ||||
\(955\) | −1093.04 | − | 1302.09i | −1.14454 | − | 1.36345i | ||||
\(956\) | 140.386 | + | 119.793i | 0.146848 | + | 0.125306i | ||||
\(957\) | 674.295 | − | 331.002i | 0.704592 | − | 0.345875i | ||||
\(958\) | −367.821 | − | 797.397i | −0.383947 | − | 0.832356i | ||||
\(959\) | 425.813i | 0.444018i | ||||||||
\(960\) | 546.981 | + | 788.931i | 0.569772 | + | 0.821803i | ||||
\(961\) | 763.202 | 0.794174 | ||||||||
\(962\) | −317.749 | + | 146.570i | −0.330300 | + | 0.152360i | ||||
\(963\) | 355.783 | − | 45.5240i | 0.369453 | − | 0.0472731i | ||||
\(964\) | −550.871 | + | 645.571i | −0.571443 | + | 0.669680i | ||||
\(965\) | −711.342 | − | 62.0877i | −0.737142 | − | 0.0643396i | ||||
\(966\) | −447.767 | − | 363.779i | −0.463527 | − | 0.376582i | ||||
\(967\) | −1.17333 | + | 1.17333i | −0.00121337 | + | 0.00121337i | −0.707713 | − | 0.706500i | \(-0.750273\pi\) |
0.706500 | + | 0.707713i | \(0.250273\pi\) | |||||||
\(968\) | −351.759 | + | 1250.45i | −0.363387 | + | 1.29179i | ||||
\(969\) | 63.8038 | − | 186.843i | 0.0658450 | − | 0.192821i | ||||
\(970\) | −408.383 | − | 1135.91i | −0.421014 | − | 1.17104i | ||||
\(971\) | 570.125 | 0.587153 | 0.293576 | − | 0.955936i | \(-0.405154\pi\) | ||||
0.293576 | + | 0.955936i | \(0.405154\pi\) | |||||||
\(972\) | −971.990 | + | 4.32014i | −0.999990 | + | 0.00444459i | ||||
\(973\) | 44.6290 | − | 44.6290i | 0.0458674 | − | 0.0458674i | ||||
\(974\) | −301.565 | + | 817.991i | −0.309615 | + | 0.839827i | ||||
\(975\) | −803.370 | − | 442.218i | −0.823969 | − | 0.453557i | ||||
\(976\) | −21.4522 | − | 134.665i | −0.0219797 | − | 0.137977i | ||||
\(977\) | 430.216 | − | 430.216i | 0.440344 | − | 0.440344i | −0.451784 | − | 0.892128i | \(-0.649212\pi\) |
0.892128 | + | 0.451784i | \(0.149212\pi\) | |||||||
\(978\) | 494.869 | − | 51.2149i | 0.506001 | − | 0.0523670i | ||||
\(979\) | −1936.24 | −1.97777 | ||||||||
\(980\) | 3.86035 | − | 478.038i | 0.00393914 | − | 0.487794i | ||||
\(981\) | −1138.83 | − | 880.455i | −1.16089 | − | 0.897507i | ||||
\(982\) | 1365.09 | − | 629.685i | 1.39011 | − | 0.641227i | ||||
\(983\) | 876.585 | − | 876.585i | 0.891745 | − | 0.891745i | −0.102942 | − | 0.994687i | \(-0.532826\pi\) |
0.994687 | + | 0.102942i | \(0.0328257\pi\) | |||||||
\(984\) | −143.627 | + | 26.4492i | −0.145963 | + | 0.0268792i | ||||
\(985\) | −1589.08 | − | 138.699i | −1.61328 | − | 0.140811i | ||||
\(986\) | 141.553 | − | 383.959i | 0.143563 | − | 0.389411i | ||||
\(987\) | −336.272 | + | 165.071i | −0.340701 | + | 0.167246i | ||||
\(988\) | −18.4627 | − | 233.259i | −0.0186870 | − | 0.236092i | ||||
\(989\) | −1553.59 | −1.57086 | ||||||||
\(990\) | 1349.11 | − | 689.368i | 1.36274 | − | 0.696331i | ||||
\(991\) | 183.991i | 0.185662i | 0.995682 | + | 0.0928310i | \(0.0295916\pi\) | ||||
−0.995682 | + | 0.0928310i | \(0.970408\pi\) | |||||||
\(992\) | −373.924 | + | 250.453i | −0.376939 | + | 0.252472i | ||||
\(993\) | 376.693 | + | 767.373i | 0.379349 | + | 0.772783i | ||||
\(994\) | −127.084 | + | 344.712i | −0.127851 | + | 0.346793i | ||||
\(995\) | −921.571 | − | 1097.83i | −0.926202 | − | 1.10335i | ||||
\(996\) | −551.768 | − | 930.340i | −0.553983 | − | 0.934076i | ||||
\(997\) | 276.341 | + | 276.341i | 0.277172 | + | 0.277172i | 0.831979 | − | 0.554807i | \(-0.187208\pi\) |
−0.554807 | + | 0.831979i | \(0.687208\pi\) | |||||||
\(998\) | −552.976 | + | 255.075i | −0.554084 | + | 0.255586i | ||||
\(999\) | −322.405 | + | 212.889i | −0.322728 | + | 0.213102i |
(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 | 60.3.l.a.47.3 | yes | 40 | |
3.2 | odd | 2 | inner | 60.3.l.a.47.18 | yes | 40 | |
4.3 | odd | 2 | inner | 60.3.l.a.47.8 | yes | 40 | |
5.2 | odd | 4 | 300.3.l.g.143.8 | 40 | |||
5.3 | odd | 4 | inner | 60.3.l.a.23.13 | yes | 40 | |
5.4 | even | 2 | 300.3.l.g.107.18 | 40 | |||
12.11 | even | 2 | inner | 60.3.l.a.47.13 | yes | 40 | |
15.2 | even | 4 | 300.3.l.g.143.13 | 40 | |||
15.8 | even | 4 | inner | 60.3.l.a.23.8 | yes | 40 | |
15.14 | odd | 2 | 300.3.l.g.107.3 | 40 | |||
20.3 | even | 4 | inner | 60.3.l.a.23.18 | yes | 40 | |
20.7 | even | 4 | 300.3.l.g.143.3 | 40 | |||
20.19 | odd | 2 | 300.3.l.g.107.13 | 40 | |||
60.23 | odd | 4 | inner | 60.3.l.a.23.3 | ✓ | 40 | |
60.47 | odd | 4 | 300.3.l.g.143.18 | 40 | |||
60.59 | even | 2 | 300.3.l.g.107.8 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
60.3.l.a.23.3 | ✓ | 40 | 60.23 | odd | 4 | inner | |
60.3.l.a.23.8 | yes | 40 | 15.8 | even | 4 | inner | |
60.3.l.a.23.13 | yes | 40 | 5.3 | odd | 4 | inner | |
60.3.l.a.23.18 | yes | 40 | 20.3 | even | 4 | inner | |
60.3.l.a.47.3 | yes | 40 | 1.1 | even | 1 | trivial | |
60.3.l.a.47.8 | yes | 40 | 4.3 | odd | 2 | inner | |
60.3.l.a.47.13 | yes | 40 | 12.11 | even | 2 | inner | |
60.3.l.a.47.18 | yes | 40 | 3.2 | odd | 2 | inner | |
300.3.l.g.107.3 | 40 | 15.14 | odd | 2 | |||
300.3.l.g.107.8 | 40 | 60.59 | even | 2 | |||
300.3.l.g.107.13 | 40 | 20.19 | odd | 2 | |||
300.3.l.g.107.18 | 40 | 5.4 | even | 2 | |||
300.3.l.g.143.3 | 40 | 20.7 | even | 4 | |||
300.3.l.g.143.8 | 40 | 5.2 | odd | 4 | |||
300.3.l.g.143.13 | 40 | 15.2 | even | 4 | |||
300.3.l.g.143.18 | 40 | 60.47 | odd | 4 |