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 | 23.11 | ||
Character | \(\chi\) | \(=\) | 60.23 |
Dual form | 60.3.l.a.47.11 |
$q$-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 \(\left(\mathbb{Z}/60\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.141758 | + | 1.99497i | 0.0708789 | + | 0.997485i | ||||
\(3\) | 2.17477 | − | 2.06649i | 0.724924 | − | 0.688829i | ||||
\(4\) | −3.95981 | + | 0.565605i | −0.989952 | + | 0.141401i | ||||
\(5\) | 3.07600 | + | 3.94185i | 0.615200 | + | 0.788371i | ||||
\(6\) | 4.43087 | + | 4.04566i | 0.738479 | + | 0.674277i | ||||
\(7\) | 5.18766 | + | 5.18766i | 0.741095 | + | 0.741095i | 0.972789 | − | 0.231694i | \(-0.0744268\pi\) |
−0.231694 | + | 0.972789i | \(0.574427\pi\) | |||||||
\(8\) | −1.68970 | − | 7.81952i | −0.211212 | − | 0.977440i | ||||
\(9\) | 0.459255 | − | 8.98827i | 0.0510283 | − | 0.998697i | ||||
\(10\) | −7.42783 | + | 6.69532i | −0.742783 | + | 0.669532i | ||||
\(11\) | −7.14796 | −0.649814 | −0.324907 | − | 0.945746i | \(-0.605333\pi\) | ||||
−0.324907 | + | 0.945746i | \(0.605333\pi\) | |||||||
\(12\) | −7.44286 | + | 9.41296i | −0.620238 | + | 0.784413i | ||||
\(13\) | −7.93751 | − | 7.93751i | −0.610578 | − | 0.610578i | 0.332519 | − | 0.943097i | \(-0.392102\pi\) |
−0.943097 | + | 0.332519i | \(0.892102\pi\) | |||||||
\(14\) | −9.61384 | + | 11.0846i | −0.686703 | + | 0.791759i | ||||
\(15\) | 14.8354 | + | 2.21611i | 0.989026 | + | 0.147741i | ||||
\(16\) | 15.3602 | − | 4.47938i | 0.960011 | − | 0.279961i | ||||
\(17\) | −16.5858 | − | 16.5858i | −0.975633 | − | 0.975633i | 0.0240774 | − | 0.999710i | \(-0.492335\pi\) |
−0.999710 | + | 0.0240774i | \(0.992335\pi\) | |||||||
\(18\) | 17.9964 | − | 0.357959i | 0.999802 | − | 0.0198866i | ||||
\(19\) | 12.1545 | 0.639709 | 0.319855 | − | 0.947467i | \(-0.396366\pi\) | ||||
0.319855 | + | 0.947467i | \(0.396366\pi\) | |||||||
\(20\) | −14.4099 | − | 13.8692i | −0.720496 | − | 0.693459i | ||||
\(21\) | 22.0022 | + | 0.561734i | 1.04772 | + | 0.0267492i | ||||
\(22\) | −1.01328 | − | 14.2600i | −0.0460581 | − | 0.648180i | ||||
\(23\) | −11.0852 | − | 11.0852i | −0.481963 | − | 0.481963i | 0.423795 | − | 0.905758i | \(-0.360698\pi\) |
−0.905758 | + | 0.423795i | \(0.860698\pi\) | |||||||
\(24\) | −19.8337 | − | 13.5139i | −0.826402 | − | 0.563080i | ||||
\(25\) | −6.07643 | + | 24.2503i | −0.243057 | + | 0.970012i | ||||
\(26\) | 14.7099 | − | 16.9603i | 0.565765 | − | 0.652319i | ||||
\(27\) | −17.5754 | − | 20.4965i | −0.650940 | − | 0.759129i | ||||
\(28\) | −23.4763 | − | 17.6080i | −0.838440 | − | 0.628857i | ||||
\(29\) | 26.1010 | 0.900034 | 0.450017 | − | 0.893020i | \(-0.351418\pi\) | ||||
0.450017 | + | 0.893020i | \(0.351418\pi\) | |||||||
\(30\) | −2.31804 | + | 29.9103i | −0.0772680 | + | 0.997010i | ||||
\(31\) | 8.74184i | 0.281995i | 0.990010 | + | 0.140997i | \(0.0450309\pi\) | ||||
−0.990010 | + | 0.140997i | \(0.954969\pi\) | |||||||
\(32\) | 11.1137 | + | 30.0081i | 0.347302 | + | 0.937753i | ||||
\(33\) | −15.5452 | + | 14.7712i | −0.471066 | + | 0.447611i | ||||
\(34\) | 30.7369 | − | 35.4392i | 0.904027 | − | 1.04233i | ||||
\(35\) | −4.49175 | + | 36.4063i | −0.128336 | + | 1.04018i | ||||
\(36\) | 3.26525 | + | 35.8516i | 0.0907015 | + | 0.995878i | ||||
\(37\) | −26.7167 | + | 26.7167i | −0.722074 | + | 0.722074i | −0.969027 | − | 0.246953i | \(-0.920571\pi\) |
0.246953 | + | 0.969027i | \(0.420571\pi\) | |||||||
\(38\) | 1.72299 | + | 24.2478i | 0.0453419 | + | 0.638100i | ||||
\(39\) | −33.6650 | − | 0.859495i | −0.863206 | − | 0.0220383i | ||||
\(40\) | 25.6259 | − | 30.7134i | 0.640647 | − | 0.767835i | ||||
\(41\) | 35.4164i | 0.863815i | 0.901918 | + | 0.431908i | \(0.142159\pi\) | ||||
−0.901918 | + | 0.431908i | \(0.857841\pi\) | |||||||
\(42\) | 1.99834 | + | 43.9734i | 0.0475796 | + | 1.04699i | ||||
\(43\) | −24.6907 | + | 24.6907i | −0.574203 | + | 0.574203i | −0.933300 | − | 0.359097i | \(-0.883085\pi\) |
0.359097 | + | 0.933300i | \(0.383085\pi\) | |||||||
\(44\) | 28.3045 | − | 4.04292i | 0.643285 | − | 0.0918846i | ||||
\(45\) | 36.8431 | − | 25.8376i | 0.818736 | − | 0.574170i | ||||
\(46\) | 20.5431 | − | 23.6860i | 0.446590 | − | 0.514912i | ||||
\(47\) | 58.6014 | − | 58.6014i | 1.24684 | − | 1.24684i | 0.289728 | − | 0.957109i | \(-0.406435\pi\) |
0.957109 | − | 0.289728i | \(-0.0935650\pi\) | |||||||
\(48\) | 24.1483 | − | 41.4833i | 0.503089 | − | 0.864234i | ||||
\(49\) | 4.82369i | 0.0984426i | ||||||||
\(50\) | −49.2400 | − | 8.68463i | −0.984800 | − | 0.173693i | ||||
\(51\) | −70.3445 | − | 1.79595i | −1.37930 | − | 0.0352147i | ||||
\(52\) | 35.9205 | + | 26.9415i | 0.690779 | + | 0.518106i | ||||
\(53\) | −20.4453 | + | 20.4453i | −0.385761 | + | 0.385761i | −0.873172 | − | 0.487411i | \(-0.837941\pi\) |
0.487411 | + | 0.873172i | \(0.337941\pi\) | |||||||
\(54\) | 38.3984 | − | 37.9679i | 0.711082 | − | 0.703109i | ||||
\(55\) | −21.9871 | − | 28.1762i | −0.399766 | − | 0.512295i | ||||
\(56\) | 31.7994 | − | 49.3306i | 0.567847 | − | 0.880904i | ||||
\(57\) | 26.4332 | − | 25.1171i | 0.463740 | − | 0.440651i | ||||
\(58\) | 3.70002 | + | 52.0707i | 0.0637935 | + | 0.897771i | ||||
\(59\) | 59.4125i | 1.00699i | 0.863998 | + | 0.503496i | \(0.167953\pi\) | ||||
−0.863998 | + | 0.503496i | \(0.832047\pi\) | |||||||
\(60\) | −59.9988 | − | 0.384395i | −0.999979 | − | 0.00640659i | ||||
\(61\) | 7.42905 | 0.121788 | 0.0608939 | − | 0.998144i | \(-0.480605\pi\) | ||||
0.0608939 | + | 0.998144i | \(0.480605\pi\) | |||||||
\(62\) | −17.4397 | + | 1.23923i | −0.281286 | + | 0.0199875i | ||||
\(63\) | 49.0106 | − | 44.2457i | 0.777946 | − | 0.702312i | ||||
\(64\) | −58.2898 | + | 26.4253i | −0.910779 | + | 0.412895i | ||||
\(65\) | 6.87272 | − | 55.7043i | 0.105734 | − | 0.856989i | ||||
\(66\) | −31.6717 | − | 28.9182i | −0.479874 | − | 0.438155i | ||||
\(67\) | 35.8479 | + | 35.8479i | 0.535044 | + | 0.535044i | 0.922069 | − | 0.387025i | \(-0.126497\pi\) |
−0.387025 | + | 0.922069i | \(0.626497\pi\) | |||||||
\(68\) | 75.0574 | + | 56.2954i | 1.10379 | + | 0.827874i | ||||
\(69\) | −47.0150 | − | 1.20033i | −0.681377 | − | 0.0173961i | ||||
\(70\) | −73.2661 | − | 3.80004i | −1.04666 | − | 0.0542863i | ||||
\(71\) | 46.2359 | 0.651210 | 0.325605 | − | 0.945506i | \(-0.394432\pi\) | ||||
0.325605 | + | 0.945506i | \(0.394432\pi\) | |||||||
\(72\) | −71.0600 | + | 11.5963i | −0.986945 | + | 0.161060i | ||||
\(73\) | 10.6280 | + | 10.6280i | 0.145589 | + | 0.145589i | 0.776144 | − | 0.630555i | \(-0.217173\pi\) |
−0.630555 | + | 0.776144i | \(0.717173\pi\) | |||||||
\(74\) | −57.0864 | − | 49.5118i | −0.771438 | − | 0.669078i | ||||
\(75\) | 36.8981 | + | 65.2957i | 0.491975 | + | 0.870609i | ||||
\(76\) | −48.1294 | + | 6.87464i | −0.633282 | + | 0.0904558i | ||||
\(77\) | −37.0812 | − | 37.0812i | −0.481574 | − | 0.481574i | ||||
\(78\) | −3.05762 | − | 67.2826i | −0.0392002 | − | 0.862597i | ||||
\(79\) | 68.3530 | 0.865228 | 0.432614 | − | 0.901579i | \(-0.357591\pi\) | ||||
0.432614 | + | 0.901579i | \(0.357591\pi\) | |||||||
\(80\) | 64.9050 | + | 46.7690i | 0.811312 | + | 0.584613i | ||||
\(81\) | −80.5782 | − | 8.25582i | −0.994792 | − | 0.101924i | ||||
\(82\) | −70.6547 | + | 5.02056i | −0.861643 | + | 0.0612263i | ||||
\(83\) | −76.6461 | − | 76.6461i | −0.923447 | − | 0.923447i | 0.0738244 | − | 0.997271i | \(-0.476480\pi\) |
−0.997271 | + | 0.0738244i | \(0.976480\pi\) | |||||||
\(84\) | −87.4423 | + | 10.2202i | −1.04098 | + | 0.121669i | ||||
\(85\) | 14.3608 | − | 116.396i | 0.168951 | − | 1.36937i | ||||
\(86\) | −52.7574 | − | 45.7572i | −0.613458 | − | 0.532060i | ||||
\(87\) | 56.7637 | − | 53.9374i | 0.652456 | − | 0.619970i | ||||
\(88\) | 12.0779 | + | 55.8936i | 0.137249 | + | 0.635155i | ||||
\(89\) | 41.0916 | 0.461703 | 0.230852 | − | 0.972989i | \(-0.425849\pi\) | ||||
0.230852 | + | 0.972989i | \(0.425849\pi\) | |||||||
\(90\) | 56.7681 | + | 69.8383i | 0.630757 | + | 0.775981i | ||||
\(91\) | − | 82.3543i | − | 0.904992i | ||||||
\(92\) | 50.1649 | + | 37.6253i | 0.545271 | + | 0.408970i | ||||
\(93\) | 18.0649 | + | 19.0115i | 0.194246 | + | 0.204425i | ||||
\(94\) | 125.215 | + | 108.601i | 1.33208 | + | 1.15533i | ||||
\(95\) | 37.3872 | + | 47.9112i | 0.393549 | + | 0.504328i | ||||
\(96\) | 86.1810 | + | 42.2945i | 0.897719 | + | 0.440568i | ||||
\(97\) | 81.7315 | − | 81.7315i | 0.842593 | − | 0.842593i | −0.146602 | − | 0.989196i | \(-0.546834\pi\) |
0.989196 | + | 0.146602i | \(0.0468338\pi\) | |||||||
\(98\) | −9.62311 | + | 0.683795i | −0.0981950 | + | 0.00697750i | ||||
\(99\) | −3.28274 | + | 64.2478i | −0.0331589 | + | 0.648968i | ||||
\(100\) | 10.3454 | − | 99.4634i | 0.103454 | − | 0.994634i | ||||
\(101\) | 125.873i | 1.24626i | 0.782117 | + | 0.623132i | \(0.214140\pi\) | ||||
−0.782117 | + | 0.623132i | \(0.785860\pi\) | |||||||
\(102\) | −6.38902 | − | 140.590i | −0.0626374 | − | 1.37833i | ||||
\(103\) | −46.2904 | + | 46.2904i | −0.449421 | + | 0.449421i | −0.895162 | − | 0.445741i | \(-0.852940\pi\) |
0.445741 | + | 0.895162i | \(0.352940\pi\) | |||||||
\(104\) | −48.6555 | + | 75.4796i | −0.467842 | + | 0.725765i | ||||
\(105\) | 65.4646 | + | 88.4574i | 0.623472 | + | 0.842452i | ||||
\(106\) | −43.6861 | − | 37.8895i | −0.412133 | − | 0.357448i | ||||
\(107\) | −107.270 | + | 107.270i | −1.00252 | + | 1.00252i | −0.00252770 | + | 0.999997i | \(0.500805\pi\) |
−0.999997 | + | 0.00252770i | \(0.999195\pi\) | |||||||
\(108\) | 81.1881 | + | 71.2214i | 0.751742 | + | 0.659458i | ||||
\(109\) | 22.8980i | 0.210073i | 0.994468 | + | 0.105037i | \(0.0334960\pi\) | ||||
−0.994468 | + | 0.105037i | \(0.966504\pi\) | |||||||
\(110\) | 53.0938 | − | 47.8579i | 0.482671 | − | 0.435071i | ||||
\(111\) | −2.89296 | + | 113.313i | −0.0260627 | + | 1.02083i | ||||
\(112\) | 102.921 | + | 56.4459i | 0.918937 | + | 0.503982i | ||||
\(113\) | 85.7431 | − | 85.7431i | 0.758788 | − | 0.758788i | −0.217314 | − | 0.976102i | \(-0.569729\pi\) |
0.976102 | + | 0.217314i | \(0.0697294\pi\) | |||||||
\(114\) | 53.8549 | + | 49.1729i | 0.472412 | + | 0.431341i | ||||
\(115\) | 9.59812 | − | 77.7940i | 0.0834619 | − | 0.676470i | ||||
\(116\) | −103.355 | + | 14.7629i | −0.890991 | + | 0.127266i | ||||
\(117\) | −74.9899 | + | 67.6992i | −0.640939 | + | 0.578626i | ||||
\(118\) | −118.526 | + | 8.42219i | −1.00446 | + | 0.0713745i | ||||
\(119\) | − | 172.083i | − | 1.44607i | ||||||
\(120\) | −7.73844 | − | 119.750i | −0.0644870 | − | 0.997919i | ||||
\(121\) | −69.9067 | −0.577741 | ||||||||
\(122\) | 1.05313 | + | 14.8207i | 0.00863219 | + | 0.121481i | ||||
\(123\) | 73.1876 | + | 77.0226i | 0.595021 | + | 0.626200i | ||||
\(124\) | −4.94443 | − | 34.6160i | −0.0398745 | − | 0.279162i | ||||
\(125\) | −114.282 | + | 50.6415i | −0.914258 | + | 0.405132i | ||||
\(126\) | 95.2164 | + | 91.5025i | 0.755686 | + | 0.726210i | ||||
\(127\) | −77.5158 | − | 77.5158i | −0.610361 | − | 0.610361i | 0.332679 | − | 0.943040i | \(-0.392047\pi\) |
−0.943040 | + | 0.332679i | \(0.892047\pi\) | |||||||
\(128\) | −60.9807 | − | 112.540i | −0.476412 | − | 0.879222i | ||||
\(129\) | −2.67358 | + | 104.720i | −0.0207254 | + | 0.811781i | ||||
\(130\) | 112.103 | + | 5.81434i | 0.862328 | + | 0.0447257i | ||||
\(131\) | −20.0258 | −0.152869 | −0.0764345 | − | 0.997075i | \(-0.524354\pi\) | ||||
−0.0764345 | + | 0.997075i | \(0.524354\pi\) | |||||||
\(132\) | 53.2013 | − | 67.2834i | 0.403040 | − | 0.509723i | ||||
\(133\) | 63.0533 | + | 63.0533i | 0.474085 | + | 0.474085i | ||||
\(134\) | −66.4338 | + | 76.5972i | −0.495775 | + | 0.571621i | ||||
\(135\) | 26.7322 | − | 132.327i | 0.198017 | − | 0.980199i | ||||
\(136\) | −101.668 | + | 157.718i | −0.747557 | + | 1.15969i | ||||
\(137\) | −8.45410 | − | 8.45410i | −0.0617088 | − | 0.0617088i | 0.675579 | − | 0.737288i | \(-0.263894\pi\) |
−0.737288 | + | 0.675579i | \(0.763894\pi\) | |||||||
\(138\) | −4.27012 | − | 93.9637i | −0.0309429 | − | 0.680896i | ||||
\(139\) | −165.614 | −1.19147 | −0.595734 | − | 0.803182i | \(-0.703139\pi\) | ||||
−0.595734 | + | 0.803182i | \(0.703139\pi\) | |||||||
\(140\) | −2.80509 | − | 146.702i | −0.0200364 | − | 1.04787i | ||||
\(141\) | 6.34551 | − | 248.543i | 0.0450036 | − | 1.76272i | ||||
\(142\) | 6.55430 | + | 92.2392i | 0.0461571 | + | 0.649572i | ||||
\(143\) | 56.7370 | + | 56.7370i | 0.396762 | + | 0.396762i | ||||
\(144\) | −33.2076 | − | 140.119i | −0.230609 | − | 0.973047i | ||||
\(145\) | 80.2867 | + | 102.886i | 0.553701 | + | 0.709561i | ||||
\(146\) | −19.6960 | + | 22.7092i | −0.134904 | + | 0.155542i | ||||
\(147\) | 9.96809 | + | 10.4904i | 0.0678101 | + | 0.0713633i | ||||
\(148\) | 90.6821 | − | 120.904i | 0.612717 | − | 0.816921i | ||||
\(149\) | 26.8277 | 0.180052 | 0.0900259 | − | 0.995939i | \(-0.471305\pi\) | ||||
0.0900259 | + | 0.995939i | \(0.471305\pi\) | |||||||
\(150\) | −125.032 | + | 82.8668i | −0.833549 | + | 0.552445i | ||||
\(151\) | − | 6.88363i | − | 0.0455870i | −0.999740 | − | 0.0227935i | \(-0.992744\pi\) | ||
0.999740 | − | 0.0227935i | \(-0.00725602\pi\) | |||||||
\(152\) | −20.5374 | − | 95.0422i | −0.135115 | − | 0.625278i | ||||
\(153\) | −156.694 | + | 141.460i | −1.02415 | + | 0.924577i | ||||
\(154\) | 68.7193 | − | 79.2324i | 0.446229 | − | 0.514496i | ||||
\(155\) | −34.4591 | + | 26.8899i | −0.222317 | + | 0.173483i | ||||
\(156\) | 133.793 | − | 15.6377i | 0.857649 | − | 0.100242i | ||||
\(157\) | −33.6577 | + | 33.6577i | −0.214380 | + | 0.214380i | −0.806125 | − | 0.591745i | \(-0.798439\pi\) |
0.591745 | + | 0.806125i | \(0.298439\pi\) | |||||||
\(158\) | 9.68957 | + | 136.362i | 0.0613264 | + | 0.863051i | ||||
\(159\) | −2.21388 | + | 86.7139i | −0.0139237 | + | 0.545371i | ||||
\(160\) | −84.1020 | + | 136.113i | −0.525637 | + | 0.850709i | ||||
\(161\) | − | 115.012i | − | 0.714361i | ||||||
\(162\) | 5.04752 | − | 161.921i | 0.0311576 | − | 0.999514i | ||||
\(163\) | −1.81560 | + | 1.81560i | −0.0111386 | + | 0.0111386i | −0.712654 | − | 0.701516i | \(-0.752507\pi\) |
0.701516 | + | 0.712654i | \(0.252507\pi\) | |||||||
\(164\) | −20.0317 | − | 140.242i | −0.122145 | − | 0.855136i | ||||
\(165\) | −106.043 | − | 15.8407i | −0.642683 | − | 0.0960040i | ||||
\(166\) | 142.041 | − | 163.772i | 0.855671 | − | 0.986577i | ||||
\(167\) | −110.613 | + | 110.613i | −0.662355 | + | 0.662355i | −0.955935 | − | 0.293579i | \(-0.905153\pi\) |
0.293579 | + | 0.955935i | \(0.405153\pi\) | |||||||
\(168\) | −32.7846 | − | 172.996i | −0.195147 | − | 1.02974i | ||||
\(169\) | − | 42.9918i | − | 0.254389i | ||||||
\(170\) | 234.243 | + | 12.1493i | 1.37790 | + | 0.0714665i | ||||
\(171\) | 5.58200 | − | 109.248i | 0.0326433 | − | 0.638876i | ||||
\(172\) | 83.8054 | − | 111.736i | 0.487241 | − | 0.649627i | ||||
\(173\) | 58.8176 | − | 58.8176i | 0.339986 | − | 0.339986i | −0.516376 | − | 0.856362i | \(-0.672719\pi\) |
0.856362 | + | 0.516376i | \(0.172719\pi\) | |||||||
\(174\) | 115.650 | + | 105.596i | 0.664656 | + | 0.606872i | ||||
\(175\) | −157.325 | + | 94.2799i | −0.898999 | + | 0.538742i | ||||
\(176\) | −109.794 | + | 32.0184i | −0.623829 | + | 0.181923i | ||||
\(177\) | 122.775 | + | 129.209i | 0.693646 | + | 0.729992i | ||||
\(178\) | 5.82505 | + | 81.9764i | 0.0327250 | + | 0.460542i | ||||
\(179\) | − | 221.072i | − | 1.23504i | −0.786555 | − | 0.617520i | \(-0.788138\pi\) | ||
0.786555 | − | 0.617520i | \(-0.211862\pi\) | |||||||
\(180\) | −131.278 | + | 123.151i | −0.729322 | + | 0.684171i | ||||
\(181\) | 184.455 | 1.01909 | 0.509545 | − | 0.860444i | \(-0.329814\pi\) | ||||
0.509545 | + | 0.860444i | \(0.329814\pi\) | |||||||
\(182\) | 164.294 | − | 11.6744i | 0.902716 | − | 0.0641449i | ||||
\(183\) | 16.1565 | − | 15.3520i | 0.0882868 | − | 0.0838910i | ||||
\(184\) | −67.9500 | + | 105.411i | −0.369294 | + | 0.572887i | ||||
\(185\) | −187.494 | − | 23.1328i | −1.01348 | − | 0.125042i | ||||
\(186\) | −35.3665 | + | 38.7340i | −0.190143 | + | 0.208247i | ||||
\(187\) | 118.554 | + | 118.554i | 0.633980 | + | 0.633980i | ||||
\(188\) | −198.905 | + | 265.195i | −1.05801 | + | 1.41061i | ||||
\(189\) | 15.1537 | − | 197.504i | 0.0801780 | − | 1.04499i | ||||
\(190\) | −90.2814 | + | 81.3781i | −0.475165 | + | 0.428306i | ||||
\(191\) | 247.515 | 1.29589 | 0.647944 | − | 0.761688i | \(-0.275629\pi\) | ||||
0.647944 | + | 0.761688i | \(0.275629\pi\) | |||||||
\(192\) | −72.1595 | + | 177.924i | −0.375831 | + | 0.926688i | ||||
\(193\) | −218.501 | − | 218.501i | −1.13213 | − | 1.13213i | −0.989823 | − | 0.142305i | \(-0.954549\pi\) |
−0.142305 | − | 0.989823i | \(-0.545451\pi\) | |||||||
\(194\) | 174.638 | + | 151.466i | 0.900196 | + | 0.780752i | ||||
\(195\) | −100.166 | − | 135.346i | −0.513670 | − | 0.694085i | ||||
\(196\) | −2.72830 | − | 19.1009i | −0.0139199 | − | 0.0974534i | ||||
\(197\) | 199.518 | + | 199.518i | 1.01278 | + | 1.01278i | 0.999917 | + | 0.0128655i | \(0.00409532\pi\) |
0.0128655 | + | 0.999917i | \(0.495905\pi\) | |||||||
\(198\) | −128.638 | + | 2.55867i | −0.649686 | + | 0.0129226i | ||||
\(199\) | 278.384 | 1.39891 | 0.699457 | − | 0.714674i | \(-0.253425\pi\) | ||||
0.699457 | + | 0.714674i | \(0.253425\pi\) | |||||||
\(200\) | 199.893 | + | 6.53907i | 0.999465 | + | 0.0326953i | ||||
\(201\) | 152.040 | + | 3.88171i | 0.756419 | + | 0.0193120i | ||||
\(202\) | −251.112 | + | 17.8434i | −1.24313 | + | 0.0883338i | ||||
\(203\) | 135.403 | + | 135.403i | 0.667011 | + | 0.667011i | ||||
\(204\) | 279.567 | − | 32.6756i | 1.37042 | − | 0.160174i | ||||
\(205\) | −139.606 | + | 108.941i | −0.681007 | + | 0.531419i | ||||
\(206\) | −98.9099 | − | 85.7859i | −0.480145 | − | 0.416436i | ||||
\(207\) | −104.727 | + | 94.5455i | −0.505929 | + | 0.456742i | ||||
\(208\) | −157.477 | − | 86.3665i | −0.757100 | − | 0.415224i | ||||
\(209\) | −86.8797 | −0.415692 | ||||||||
\(210\) | −167.190 | + | 143.139i | −0.796142 | + | 0.681616i | ||||
\(211\) | 85.1758i | 0.403677i | 0.979419 | + | 0.201838i | \(0.0646916\pi\) | ||||
−0.979419 | + | 0.201838i | \(0.935308\pi\) | |||||||
\(212\) | 69.3956 | − | 92.5236i | 0.327338 | − | 0.436432i | ||||
\(213\) | 100.552 | − | 95.5459i | 0.472077 | − | 0.448572i | ||||
\(214\) | −229.207 | − | 198.794i | −1.07106 | − | 0.928945i | ||||
\(215\) | −173.276 | − | 21.3786i | −0.805935 | − | 0.0994351i | ||||
\(216\) | −130.576 | + | 172.064i | −0.604516 | + | 0.796593i | ||||
\(217\) | −45.3497 | + | 45.3497i | −0.208985 | + | 0.208985i | ||||
\(218\) | −45.6808 | + | 3.24597i | −0.209545 | + | 0.0148898i | ||||
\(219\) | 45.0762 | + | 1.15083i | 0.205827 | + | 0.00525494i | ||||
\(220\) | 103.001 | + | 99.1364i | 0.468188 | + | 0.450620i | ||||
\(221\) | 263.299i | 1.19140i | ||||||||
\(222\) | −226.465 | + | 10.2916i | −1.02011 | + | 0.0463585i | ||||
\(223\) | 222.212 | − | 222.212i | 0.996466 | − | 0.996466i | −0.00352781 | − | 0.999994i | \(-0.501123\pi\) |
0.999994 | + | 0.00352781i | \(0.00112294\pi\) | |||||||
\(224\) | −98.0181 | + | 213.326i | −0.437581 | + | 0.952347i | ||||
\(225\) | 215.178 | + | 65.7537i | 0.956345 | + | 0.292239i | ||||
\(226\) | 183.210 | + | 158.900i | 0.810662 | + | 0.703098i | ||||
\(227\) | 33.6138 | − | 33.6138i | 0.148078 | − | 0.148078i | −0.629181 | − | 0.777259i | \(-0.716609\pi\) |
0.777259 | + | 0.629181i | \(0.216609\pi\) | |||||||
\(228\) | −90.4641 | + | 114.410i | −0.396772 | + | 0.501797i | ||||
\(229\) | − | 127.633i | − | 0.557349i | −0.960386 | − | 0.278675i | \(-0.910105\pi\) | ||
0.960386 | − | 0.278675i | \(-0.0898951\pi\) | |||||||
\(230\) | 156.557 | + | 8.12004i | 0.680684 | + | 0.0353045i | ||||
\(231\) | −157.271 | − | 4.01525i | −0.680827 | − | 0.0173820i | ||||
\(232\) | −44.1029 | − | 204.097i | −0.190098 | − | 0.879730i | ||||
\(233\) | 190.936 | − | 190.936i | 0.819467 | − | 0.819467i | −0.166564 | − | 0.986031i | \(-0.553267\pi\) |
0.986031 | + | 0.166564i | \(0.0532671\pi\) | |||||||
\(234\) | −145.688 | − | 140.006i | −0.622599 | − | 0.598315i | ||||
\(235\) | 411.256 | + | 50.7402i | 1.75002 | + | 0.215916i | ||||
\(236\) | −33.6040 | − | 235.262i | −0.142390 | − | 0.996874i | ||||
\(237\) | 148.652 | − | 141.251i | 0.627224 | − | 0.595994i | ||||
\(238\) | 343.300 | − | 24.3941i | 1.44244 | − | 0.102496i | ||||
\(239\) | 164.867i | 0.689820i | 0.938636 | + | 0.344910i | \(0.112090\pi\) | ||||
−0.938636 | + | 0.344910i | \(0.887910\pi\) | |||||||
\(240\) | 237.801 | − | 32.4135i | 0.990838 | − | 0.135056i | ||||
\(241\) | −20.3865 | −0.0845915 | −0.0422957 | − | 0.999105i | \(-0.513467\pi\) | ||||
−0.0422957 | + | 0.999105i | \(0.513467\pi\) | |||||||
\(242\) | −9.90982 | − | 139.462i | −0.0409497 | − | 0.576288i | ||||
\(243\) | −192.300 | + | 148.559i | −0.791356 | + | 0.611355i | ||||
\(244\) | −29.4176 | + | 4.20191i | −0.120564 | + | 0.0172209i | ||||
\(245\) | −19.0143 | + | 14.8377i | −0.0776092 | + | 0.0605619i | ||||
\(246\) | −143.283 | + | 156.926i | −0.582451 | + | 0.637909i | ||||
\(247\) | −96.4763 | − | 96.4763i | −0.390592 | − | 0.390592i | ||||
\(248\) | 68.3570 | − | 14.7711i | 0.275633 | − | 0.0595609i | ||||
\(249\) | −325.076 | − | 8.29945i | −1.30553 | − | 0.0333311i | ||||
\(250\) | −117.229 | − | 220.811i | −0.468915 | − | 0.883243i | ||||
\(251\) | 425.326 | 1.69452 | 0.847262 | − | 0.531175i | \(-0.178249\pi\) | ||||
0.847262 | + | 0.531175i | \(0.178249\pi\) | |||||||
\(252\) | −169.047 | + | 202.925i | −0.670822 | + | 0.805258i | ||||
\(253\) | 79.2362 | + | 79.2362i | 0.313187 | + | 0.313187i | ||||
\(254\) | 143.653 | − | 165.630i | 0.565564 | − | 0.652087i | ||||
\(255\) | −209.300 | − | 282.812i | −0.820786 | − | 1.10907i | ||||
\(256\) | 215.870 | − | 137.608i | 0.843243 | − | 0.537532i | ||||
\(257\) | −162.977 | − | 162.977i | −0.634150 | − | 0.634150i | 0.314956 | − | 0.949106i | \(-0.398010\pi\) |
−0.949106 | + | 0.314956i | \(0.898010\pi\) | |||||||
\(258\) | −209.292 | + | 9.51114i | −0.811209 | + | 0.0368649i | ||||
\(259\) | −277.195 | −1.07025 | ||||||||
\(260\) | 4.29200 | + | 224.466i | 0.0165077 | + | 0.863330i | ||||
\(261\) | 11.9870 | − | 234.603i | 0.0459273 | − | 0.898862i | ||||
\(262\) | −2.83882 | − | 39.9510i | −0.0108352 | − | 0.152485i | ||||
\(263\) | −216.217 | − | 216.217i | −0.822117 | − | 0.822117i | 0.164294 | − | 0.986411i | \(-0.447465\pi\) |
−0.986411 | + | 0.164294i | \(0.947465\pi\) | |||||||
\(264\) | 141.770 | + | 96.5969i | 0.537008 | + | 0.365898i | ||||
\(265\) | −143.482 | − | 17.7027i | −0.541443 | − | 0.0668025i | ||||
\(266\) | −116.851 | + | 134.728i | −0.439290 | + | 0.506495i | ||||
\(267\) | 89.3647 | − | 84.9152i | 0.334699 | − | 0.318035i | ||||
\(268\) | −162.227 | − | 121.675i | −0.605324 | − | 0.454012i | ||||
\(269\) | −90.1584 | −0.335161 | −0.167581 | − | 0.985858i | \(-0.553595\pi\) | ||||
−0.167581 | + | 0.985858i | \(0.553595\pi\) | |||||||
\(270\) | 267.778 | + | 34.5716i | 0.991769 | + | 0.128043i | ||||
\(271\) | 406.310i | 1.49930i | 0.661836 | + | 0.749649i | \(0.269777\pi\) | ||||
−0.661836 | + | 0.749649i | \(0.730223\pi\) | |||||||
\(272\) | −329.054 | − | 180.466i | −1.20976 | − | 0.663479i | ||||
\(273\) | −170.184 | − | 179.102i | −0.623385 | − | 0.656050i | ||||
\(274\) | 15.6672 | − | 18.0641i | 0.0571797 | − | 0.0659274i | ||||
\(275\) | 43.4341 | − | 173.340i | 0.157942 | − | 0.630328i | ||||
\(276\) | 186.849 | − | 21.8389i | 0.676991 | − | 0.0791263i | ||||
\(277\) | −190.299 | + | 190.299i | −0.687001 | + | 0.687001i | −0.961568 | − | 0.274567i | \(-0.911466\pi\) |
0.274567 | + | 0.961568i | \(0.411466\pi\) | |||||||
\(278\) | −23.4771 | − | 330.395i | −0.0844500 | − | 1.18847i | ||||
\(279\) | 78.5741 | + | 4.01474i | 0.281628 | + | 0.0143897i | ||||
\(280\) | 292.269 | − | 26.3923i | 1.04382 | − | 0.0942582i | ||||
\(281\) | − | 150.443i | − | 0.535385i | −0.963504 | − | 0.267692i | \(-0.913739\pi\) | ||
0.963504 | − | 0.267692i | \(-0.0862611\pi\) | |||||||
\(282\) | 496.736 | − | 22.5739i | 1.76148 | − | 0.0800492i | ||||
\(283\) | −152.489 | + | 152.489i | −0.538830 | + | 0.538830i | −0.923185 | − | 0.384355i | \(-0.874424\pi\) |
0.384355 | + | 0.923185i | \(0.374424\pi\) | |||||||
\(284\) | −183.085 | + | 26.1513i | −0.644667 | + | 0.0920819i | ||||
\(285\) | 180.316 | + | 26.9357i | 0.632689 | + | 0.0945111i | ||||
\(286\) | −105.146 | + | 121.232i | −0.367642 | + | 0.423886i | ||||
\(287\) | −183.728 | + | 183.728i | −0.640169 | + | 0.640169i | ||||
\(288\) | 274.825 | − | 86.1112i | 0.954254 | − | 0.298997i | ||||
\(289\) | 261.175i | 0.903718i | ||||||||
\(290\) | −193.874 | + | 174.755i | −0.668531 | + | 0.602602i | ||||
\(291\) | 8.85011 | − | 346.645i | 0.0304128 | − | 1.19122i | ||||
\(292\) | −48.0962 | − | 36.0737i | −0.164713 | − | 0.123540i | ||||
\(293\) | −132.745 | + | 132.745i | −0.453054 | + | 0.453054i | −0.896367 | − | 0.443313i | \(-0.853803\pi\) |
0.443313 | + | 0.896367i | \(0.353803\pi\) | |||||||
\(294\) | −19.5150 | + | 21.3731i | −0.0663775 | + | 0.0726977i | ||||
\(295\) | −234.196 | + | 182.753i | −0.793883 | + | 0.619502i | ||||
\(296\) | 254.055 | + | 163.769i | 0.858295 | + | 0.553273i | ||||
\(297\) | 125.628 | + | 146.508i | 0.422990 | + | 0.493293i | ||||
\(298\) | 3.80304 | + | 53.5205i | 0.0127619 | + | 0.179599i | ||||
\(299\) | 175.977i | 0.588552i | ||||||||
\(300\) | −183.041 | − | 237.689i | −0.610137 | − | 0.792296i | ||||
\(301\) | −256.174 | −0.851078 | ||||||||
\(302\) | 13.7326 | − | 0.975809i | 0.0454723 | − | 0.00323115i | ||||
\(303\) | 260.114 | + | 273.744i | 0.858463 | + | 0.903446i | ||||
\(304\) | 186.695 | − | 54.4445i | 0.614128 | − | 0.179094i | ||||
\(305\) | 22.8518 | + | 29.2842i | 0.0749239 | + | 0.0960139i | ||||
\(306\) | −304.422 | − | 292.548i | −0.994842 | − | 0.956038i | ||||
\(307\) | −88.3919 | − | 88.3919i | −0.287922 | − | 0.287922i | 0.548336 | − | 0.836258i | \(-0.315261\pi\) |
−0.836258 | + | 0.548336i | \(0.815261\pi\) | |||||||
\(308\) | 167.808 | + | 125.861i | 0.544830 | + | 0.408640i | ||||
\(309\) | −5.01245 | + | 196.329i | −0.0162215 | + | 0.635370i | ||||
\(310\) | −58.5294 | − | 64.9330i | −0.188805 | − | 0.209461i | ||||
\(311\) | −514.733 | −1.65509 | −0.827545 | − | 0.561399i | \(-0.810263\pi\) | ||||
−0.827545 | + | 0.561399i | \(0.810263\pi\) | |||||||
\(312\) | 50.1630 | + | 264.697i | 0.160779 | + | 0.848387i | ||||
\(313\) | 387.047 | + | 387.047i | 1.23657 | + | 1.23657i | 0.961393 | + | 0.275179i | \(0.0887372\pi\) |
0.275179 | + | 0.961393i | \(0.411263\pi\) | |||||||
\(314\) | −71.9174 | − | 62.3749i | −0.229036 | − | 0.198646i | ||||
\(315\) | 325.167 | + | 57.0929i | 1.03228 | + | 0.181247i | ||||
\(316\) | −270.665 | + | 38.6608i | −0.856534 | + | 0.122344i | ||||
\(317\) | −3.71813 | − | 3.71813i | −0.0117291 | − | 0.0117291i | 0.701218 | − | 0.712947i | \(-0.252640\pi\) |
−0.712947 | + | 0.701218i | \(0.752640\pi\) | |||||||
\(318\) | −173.306 | + | 7.87577i | −0.544986 | + | 0.0247666i | ||||
\(319\) | −186.569 | −0.584855 | ||||||||
\(320\) | −283.464 | − | 148.486i | −0.885826 | − | 0.464018i | ||||
\(321\) | −11.6155 | + | 454.960i | −0.0361854 | + | 1.41732i | ||||
\(322\) | 229.446 | − | 16.3039i | 0.712564 | − | 0.0506331i | ||||
\(323\) | −201.591 | − | 201.591i | −0.624121 | − | 0.624121i | ||||
\(324\) | 323.744 | − | 12.8840i | 0.999209 | − | 0.0397653i | ||||
\(325\) | 240.719 | − | 144.255i | 0.740673 | − | 0.443862i | ||||
\(326\) | −3.87944 | − | 3.36469i | −0.0119001 | − | 0.0103211i | ||||
\(327\) | 47.3184 | + | 49.7978i | 0.144705 | + | 0.152287i | ||||
\(328\) | 276.939 | − | 59.8431i | 0.844328 | − | 0.182449i | ||||
\(329\) | 608.008 | 1.84805 | ||||||||
\(330\) | 16.5692 | − | 213.798i | 0.0502098 | − | 0.647872i | ||||
\(331\) | − | 573.217i | − | 1.73177i | −0.500241 | − | 0.865886i | \(-0.666755\pi\) | ||
0.500241 | − | 0.865886i | \(-0.333245\pi\) | |||||||
\(332\) | 346.855 | + | 260.152i | 1.04474 | + | 0.783592i | ||||
\(333\) | 227.868 | + | 252.407i | 0.684287 | + | 0.757980i | ||||
\(334\) | −236.351 | − | 204.990i | −0.707636 | − | 0.613742i | ||||
\(335\) | −31.0390 | + | 251.576i | −0.0926538 | + | 0.750972i | ||||
\(336\) | 340.474 | − | 89.9279i | 1.01332 | − | 0.267643i | ||||
\(337\) | 143.969 | − | 143.969i | 0.427209 | − | 0.427209i | −0.460468 | − | 0.887676i | \(-0.652318\pi\) |
0.887676 | + | 0.460468i | \(0.152318\pi\) | |||||||
\(338\) | 85.7674 | − | 6.09443i | 0.253750 | − | 0.0180309i | ||||
\(339\) | 9.28449 | − | 363.659i | 0.0273879 | − | 1.07274i | ||||
\(340\) | 8.96830 | + | 469.030i | 0.0263774 | + | 1.37950i | ||||
\(341\) | − | 62.4863i | − | 0.183244i | ||||||
\(342\) | 218.737 | − | 4.35080i | 0.639583 | − | 0.0127216i | ||||
\(343\) | 229.172 | − | 229.172i | 0.668139 | − | 0.668139i | ||||
\(344\) | 234.790 | + | 151.350i | 0.682528 | + | 0.439970i | ||||
\(345\) | −139.887 | − | 189.019i | −0.405469 | − | 0.547880i | ||||
\(346\) | 125.677 | + | 109.002i | 0.363229 | + | 0.315033i | ||||
\(347\) | 358.220 | − | 358.220i | 1.03233 | − | 1.03233i | 0.0328744 | − | 0.999459i | \(-0.489534\pi\) |
0.999459 | − | 0.0328744i | \(-0.0104661\pi\) | |||||||
\(348\) | −194.266 | + | 245.688i | −0.558236 | + | 0.705999i | ||||
\(349\) | 153.076i | 0.438613i | 0.975656 | + | 0.219307i | \(0.0703795\pi\) | ||||
−0.975656 | + | 0.219307i | \(0.929621\pi\) | |||||||
\(350\) | −210.388 | − | 300.493i | −0.601107 | − | 0.858553i | ||||
\(351\) | −23.1862 | + | 302.196i | −0.0660576 | + | 0.860957i | ||||
\(352\) | −79.4399 | − | 214.497i | −0.225682 | − | 0.609366i | ||||
\(353\) | −199.291 | + | 199.291i | −0.564563 | + | 0.564563i | −0.930600 | − | 0.366037i | \(-0.880714\pi\) |
0.366037 | + | 0.930600i | \(0.380714\pi\) | |||||||
\(354\) | −240.363 | + | 263.249i | −0.678991 | + | 0.743642i | ||||
\(355\) | 142.222 | + | 182.255i | 0.400624 | + | 0.513395i | ||||
\(356\) | −162.715 | + | 23.2416i | −0.457064 | + | 0.0652854i | ||||
\(357\) | −355.607 | − | 374.240i | −0.996097 | − | 1.04829i | ||||
\(358\) | 441.032 | − | 31.3387i | 1.23193 | − | 0.0875383i | ||||
\(359\) | 54.0713i | 0.150616i | 0.997160 | + | 0.0753082i | \(0.0239941\pi\) | ||||
−0.997160 | + | 0.0753082i | \(0.976006\pi\) | |||||||
\(360\) | −264.292 | − | 244.438i | −0.734144 | − | 0.678994i | ||||
\(361\) | −213.269 | −0.590772 | ||||||||
\(362\) | 26.1480 | + | 367.983i | 0.0722321 | + | 1.01653i | ||||
\(363\) | −152.031 | + | 144.461i | −0.418818 | + | 0.397965i | ||||
\(364\) | 46.5800 | + | 326.107i | 0.127967 | + | 0.895899i | ||||
\(365\) | −9.20231 | + | 74.5859i | −0.0252118 | + | 0.204345i | ||||
\(366\) | 32.9172 | + | 30.0554i | 0.0899376 | + | 0.0821187i | ||||
\(367\) | 8.93510 | + | 8.93510i | 0.0243463 | + | 0.0243463i | 0.719175 | − | 0.694829i | \(-0.244520\pi\) |
−0.694829 | + | 0.719175i | \(0.744520\pi\) | |||||||
\(368\) | −219.925 | − | 120.615i | −0.597621 | − | 0.327759i | ||||
\(369\) | 318.333 | + | 16.2652i | 0.862690 | + | 0.0440791i | ||||
\(370\) | 19.5704 | − | 377.325i | 0.0528930 | − | 1.01980i | ||||
\(371\) | −212.127 | −0.571771 | ||||||||
\(372\) | −82.2866 | − | 65.0643i | −0.221201 | − | 0.174904i | ||||
\(373\) | −409.810 | − | 409.810i | −1.09869 | − | 1.09869i | −0.994565 | − | 0.104121i | \(-0.966797\pi\) |
−0.104121 | − | 0.994565i | \(-0.533203\pi\) | |||||||
\(374\) | −219.706 | + | 253.318i | −0.587450 | + | 0.677321i | ||||
\(375\) | −143.888 | + | 346.297i | −0.383700 | + | 0.923458i | ||||
\(376\) | −557.253 | − | 359.216i | −1.48206 | − | 0.955361i | ||||
\(377\) | −207.177 | − | 207.177i | −0.549541 | − | 0.549541i | ||||
\(378\) | 396.163 | + | 2.23333i | 1.04805 | + | 0.00590828i | ||||
\(379\) | 5.84018 | 0.0154095 | 0.00770473 | − | 0.999970i | \(-0.497547\pi\) | ||||
0.00770473 | + | 0.999970i | \(0.497547\pi\) | |||||||
\(380\) | −175.145 | − | 168.573i | −0.460908 | − | 0.443612i | ||||
\(381\) | −328.765 | − | 8.39362i | −0.862899 | − | 0.0220305i | ||||
\(382\) | 35.0872 | + | 493.784i | 0.0918512 | + | 1.29263i | ||||
\(383\) | 137.693 | + | 137.693i | 0.359513 | + | 0.359513i | 0.863633 | − | 0.504121i | \(-0.168183\pi\) |
−0.504121 | + | 0.863633i | \(0.668183\pi\) | |||||||
\(384\) | −365.183 | − | 118.734i | −0.950996 | − | 0.309203i | ||||
\(385\) | 32.1069 | − | 260.230i | 0.0833945 | − | 0.675923i | ||||
\(386\) | 404.928 | − | 466.876i | 1.04904 | − | 1.20952i | ||||
\(387\) | 210.588 | + | 233.266i | 0.544155 | + | 0.602756i | ||||
\(388\) | −277.414 | + | 369.869i | −0.714983 | + | 0.953271i | ||||
\(389\) | −34.5568 | −0.0888349 | −0.0444174 | − | 0.999013i | \(-0.514143\pi\) | ||||
−0.0444174 | + | 0.999013i | \(0.514143\pi\) | |||||||
\(390\) | 255.813 | − | 219.014i | 0.655931 | − | 0.561574i | ||||
\(391\) | 367.711i | 0.940438i | ||||||||
\(392\) | 37.7189 | − | 8.15058i | 0.0962217 | − | 0.0207923i | ||||
\(393\) | −43.5516 | + | 41.3832i | −0.110818 | + | 0.105301i | ||||
\(394\) | −369.750 | + | 426.316i | −0.938451 | + | 1.08202i | ||||
\(395\) | 210.254 | + | 269.437i | 0.532288 | + | 0.682120i | ||||
\(396\) | −23.3399 | − | 256.266i | −0.0589391 | − | 0.647136i | ||||
\(397\) | 446.029 | − | 446.029i | 1.12350 | − | 1.12350i | 0.132286 | − | 0.991212i | \(-0.457768\pi\) |
0.991212 | − | 0.132286i | \(-0.0422318\pi\) | |||||||
\(398\) | 39.4631 | + | 555.368i | 0.0991536 | + | 1.39540i | ||||
\(399\) | 267.425 | + | 6.82759i | 0.670239 | + | 0.0171117i | ||||
\(400\) | 15.2912 | + | 399.708i | 0.0382279 | + | 0.999269i | ||||
\(401\) | − | 103.887i | − | 0.259071i | −0.991575 | − | 0.129535i | \(-0.958651\pi\) | ||
0.991575 | − | 0.129535i | \(-0.0413486\pi\) | |||||||
\(402\) | 13.8090 | + | 303.866i | 0.0343508 | + | 0.755886i | ||||
\(403\) | 69.3885 | − | 69.3885i | 0.172180 | − | 0.172180i | ||||
\(404\) | −71.1942 | − | 498.432i | −0.176223 | − | 1.23374i | ||||
\(405\) | −215.315 | − | 343.022i | −0.531643 | − | 0.846969i | ||||
\(406\) | −250.931 | + | 289.320i | −0.618056 | + | 0.712610i | ||||
\(407\) | 190.970 | − | 190.970i | 0.469214 | − | 0.469214i | ||||
\(408\) | 104.818 | + | 553.095i | 0.256906 | + | 1.35562i | ||||
\(409\) | − | 583.243i | − | 1.42602i | −0.701153 | − | 0.713011i | \(-0.747331\pi\) | ||
0.701153 | − | 0.713011i | \(-0.252669\pi\) | |||||||
\(410\) | −237.124 | − | 263.067i | −0.578352 | − | 0.641628i | ||||
\(411\) | −35.8560 | − | 0.915433i | −0.0872409 | − | 0.00222733i | ||||
\(412\) | 157.119 | − | 209.483i | 0.381357 | − | 0.508454i | ||||
\(413\) | −308.212 | + | 308.212i | −0.746276 | + | 0.746276i | ||||
\(414\) | −203.461 | − | 195.525i | −0.491453 | − | 0.472283i | ||||
\(415\) | 66.3643 | − | 537.891i | 0.159914 | − | 1.29612i | ||||
\(416\) | 149.975 | − | 326.404i | 0.360517 | − | 0.784626i | ||||
\(417\) | −360.173 | + | 342.240i | −0.863724 | + | 0.820719i | ||||
\(418\) | −12.3159 | − | 173.322i | −0.0294638 | − | 0.414647i | ||||
\(419\) | − | 231.688i | − | 0.552954i | −0.961021 | − | 0.276477i | \(-0.910833\pi\) | ||
0.961021 | − | 0.276477i | \(-0.0891669\pi\) | |||||||
\(420\) | −309.259 | − | 313.247i | −0.736332 | − | 0.745827i | ||||
\(421\) | 252.861 | 0.600620 | 0.300310 | − | 0.953842i | \(-0.402910\pi\) | ||||
0.300310 | + | 0.953842i | \(0.402910\pi\) | |||||||
\(422\) | −169.923 | + | 12.0743i | −0.402662 | + | 0.0286122i | ||||
\(423\) | −499.812 | − | 553.638i | −1.18159 | − | 1.30884i | ||||
\(424\) | 194.419 | + | 125.326i | 0.458536 | + | 0.295581i | ||||
\(425\) | 502.992 | − | 301.427i | 1.18351 | − | 0.709241i | ||||
\(426\) | 204.865 | + | 187.055i | 0.480905 | + | 0.439096i | ||||
\(427\) | 38.5394 | + | 38.5394i | 0.0902562 | + | 0.0902562i | ||||
\(428\) | 364.097 | − | 485.442i | 0.850693 | − | 1.13421i | ||||
\(429\) | 240.636 | + | 6.14364i | 0.560924 | + | 0.0143208i | ||||
\(430\) | 18.0863 | − | 348.711i | 0.0420612 | − | 0.810956i | ||||
\(431\) | −122.832 | −0.284993 | −0.142496 | − | 0.989795i | \(-0.545513\pi\) | ||||
−0.142496 | + | 0.989795i | \(0.545513\pi\) | |||||||
\(432\) | −361.773 | − | 236.103i | −0.837437 | − | 0.546534i | ||||
\(433\) | 317.452 | + | 317.452i | 0.733145 | + | 0.733145i | 0.971241 | − | 0.238097i | \(-0.0765235\pi\) |
−0.238097 | + | 0.971241i | \(0.576523\pi\) | |||||||
\(434\) | −96.9000 | − | 84.0427i | −0.223272 | − | 0.193647i | ||||
\(435\) | 387.219 | + | 57.8427i | 0.890158 | + | 0.132972i | ||||
\(436\) | −12.9512 | − | 90.6716i | −0.0297046 | − | 0.207962i | ||||
\(437\) | −134.734 | − | 134.734i | −0.308316 | − | 0.308316i | ||||
\(438\) | 4.09403 | + | 90.0888i | 0.00934710 | + | 0.205682i | ||||
\(439\) | 238.776 | 0.543908 | 0.271954 | − | 0.962310i | \(-0.412330\pi\) | ||||
0.271954 | + | 0.962310i | \(0.412330\pi\) | |||||||
\(440\) | −183.173 | + | 219.538i | −0.416302 | + | 0.498950i | ||||
\(441\) | 43.3566 | + | 2.21530i | 0.0983143 | + | 0.00502336i | ||||
\(442\) | −525.274 | + | 37.3247i | −1.18840 | + | 0.0844451i | ||||
\(443\) | 228.090 | + | 228.090i | 0.514875 | + | 0.514875i | 0.916016 | − | 0.401141i | \(-0.131386\pi\) |
−0.401141 | + | 0.916016i | \(0.631386\pi\) | |||||||
\(444\) | −52.6346 | − | 450.333i | −0.118547 | − | 1.01426i | ||||
\(445\) | 126.398 | + | 161.977i | 0.284040 | + | 0.363993i | ||||
\(446\) | 474.806 | + | 411.806i | 1.06459 | + | 0.923331i | ||||
\(447\) | 58.3442 | − | 55.4392i | 0.130524 | − | 0.124025i | ||||
\(448\) | −439.473 | − | 165.303i | −0.980967 | − | 0.368979i | ||||
\(449\) | −483.206 | −1.07618 | −0.538091 | − | 0.842887i | \(-0.680854\pi\) | ||||
−0.538091 | + | 0.842887i | \(0.680854\pi\) | |||||||
\(450\) | −100.674 | + | 438.594i | −0.223719 | + | 0.974654i | ||||
\(451\) | − | 253.155i | − | 0.561320i | ||||||
\(452\) | −291.030 | + | 388.023i | −0.643871 | + | 0.858458i | ||||
\(453\) | −14.2249 | − | 14.9703i | −0.0314016 | − | 0.0330471i | ||||
\(454\) | 71.8235 | + | 62.2934i | 0.158202 | + | 0.137210i | ||||
\(455\) | 324.629 | − | 253.322i | 0.713469 | − | 0.556751i | ||||
\(456\) | −241.068 | − | 164.255i | −0.528657 | − | 0.360208i | ||||
\(457\) | 48.6424 | − | 48.6424i | 0.106438 | − | 0.106438i | −0.651882 | − | 0.758320i | \(-0.726020\pi\) |
0.758320 | + | 0.651882i | \(0.226020\pi\) | |||||||
\(458\) | 254.624 | − | 18.0930i | 0.555947 | − | 0.0395043i | ||||
\(459\) | −48.4486 | + | 631.451i | −0.105552 | + | 1.37571i | ||||
\(460\) | 5.99400 | + | 313.478i | 0.0130304 | + | 0.681474i | ||||
\(461\) | 436.442i | 0.946728i | 0.880867 | + | 0.473364i | \(0.156960\pi\) | ||||
−0.880867 | + | 0.473364i | \(0.843040\pi\) | |||||||
\(462\) | −14.2841 | − | 314.320i | −0.0309179 | − | 0.680346i | ||||
\(463\) | 31.1103 | − | 31.1103i | 0.0671929 | − | 0.0671929i | −0.672712 | − | 0.739905i | \(-0.734871\pi\) |
0.739905 | + | 0.672712i | \(0.234871\pi\) | |||||||
\(464\) | 400.916 | − | 116.916i | 0.864043 | − | 0.251975i | ||||
\(465\) | −19.3729 | + | 129.689i | −0.0416621 | + | 0.278900i | ||||
\(466\) | 407.978 | + | 353.845i | 0.875489 | + | 0.759323i | ||||
\(467\) | 228.219 | − | 228.219i | 0.488693 | − | 0.488693i | −0.419201 | − | 0.907894i | \(-0.637690\pi\) |
0.907894 | + | 0.419201i | \(0.137690\pi\) | |||||||
\(468\) | 258.655 | − | 310.491i | 0.552681 | − | 0.663441i | ||||
\(469\) | 371.934i | 0.793036i | ||||||||
\(470\) | −42.9263 | + | 827.636i | −0.0913327 | + | 1.76093i | ||||
\(471\) | −3.64455 | + | 142.751i | −0.00773790 | + | 0.303081i | ||||
\(472\) | 464.577 | − | 100.389i | 0.984274 | − | 0.212689i | ||||
\(473\) | 176.488 | − | 176.488i | 0.373125 | − | 0.373125i | ||||
\(474\) | 302.863 | + | 276.533i | 0.638952 | + | 0.583403i | ||||
\(475\) | −73.8559 | + | 294.750i | −0.155486 | + | 0.620526i | ||||
\(476\) | 97.3308 | + | 681.414i | 0.204477 | + | 1.43154i | ||||
\(477\) | 174.379 | + | 193.158i | 0.365574 | + | 0.404943i | ||||
\(478\) | −328.904 | + | 23.3712i | −0.688085 | + | 0.0488937i | ||||
\(479\) | 698.050i | 1.45731i | 0.684883 | + | 0.728653i | \(0.259853\pi\) | ||||
−0.684883 | + | 0.728653i | \(0.740147\pi\) | |||||||
\(480\) | 98.3741 | + | 469.811i | 0.204946 | + | 0.978773i | ||||
\(481\) | 424.129 | 0.881765 | ||||||||
\(482\) | −2.88995 | − | 40.6705i | −0.00599575 | − | 0.0843787i | ||||
\(483\) | −237.671 | − | 250.125i | −0.492073 | − | 0.517857i | ||||
\(484\) | 276.817 | − | 39.5396i | 0.571936 | − | 0.0816934i | ||||
\(485\) | 573.580 | + | 70.7675i | 1.18264 | + | 0.145912i | ||||
\(486\) | −323.631 | − | 362.572i | −0.665908 | − | 0.746034i | ||||
\(487\) | −521.267 | − | 521.267i | −1.07036 | − | 1.07036i | −0.997329 | − | 0.0730343i | \(-0.976732\pi\) |
−0.0730343 | − | 0.997329i | \(-0.523268\pi\) | |||||||
\(488\) | −12.5529 | − | 58.0916i | −0.0257231 | − | 0.119040i | ||||
\(489\) | −0.196598 | + | 7.70043i | −0.000402041 | + | 0.0157473i | ||||
\(490\) | −32.2961 | − | 35.8295i | −0.0659104 | − | 0.0731215i | ||||
\(491\) | −423.603 | −0.862736 | −0.431368 | − | 0.902176i | \(-0.641969\pi\) | ||||
−0.431368 | + | 0.902176i | \(0.641969\pi\) | |||||||
\(492\) | −333.373 | − | 263.600i | −0.677588 | − | 0.535771i | ||||
\(493\) | −432.905 | − | 432.905i | −0.878103 | − | 0.878103i | ||||
\(494\) | 178.791 | − | 206.144i | 0.361925 | − | 0.417295i | ||||
\(495\) | −263.353 | + | 184.686i | −0.532027 | + | 0.373104i | ||||
\(496\) | 39.1580 | + | 134.276i | 0.0789476 | + | 0.270718i | ||||
\(497\) | 239.856 | + | 239.856i | 0.482608 | + | 0.482608i | ||||
\(498\) | −29.5249 | − | 649.693i | −0.0592870 | − | 1.30460i | ||||
\(499\) | −422.547 | −0.846787 | −0.423393 | − | 0.905946i | \(-0.639161\pi\) | ||||
−0.423393 | + | 0.905946i | \(0.639161\pi\) | |||||||
\(500\) | 423.893 | − | 265.169i | 0.847786 | − | 0.530339i | ||||
\(501\) | −11.9775 | + | 469.140i | −0.0239072 | + | 0.936407i | ||||
\(502\) | 60.2933 | + | 848.512i | 0.120106 | + | 1.69026i | ||||
\(503\) | −71.8560 | − | 71.8560i | −0.142855 | − | 0.142855i | 0.632063 | − | 0.774917i | \(-0.282209\pi\) |
−0.774917 | + | 0.632063i | \(0.782209\pi\) | |||||||
\(504\) | −428.793 | − | 308.478i | −0.850780 | − | 0.612059i | ||||
\(505\) | −496.172 | + | 387.184i | −0.982518 | + | 0.766702i | ||||
\(506\) | −146.842 | + | 169.306i | −0.290201 | + | 0.334597i | ||||
\(507\) | −88.8421 | − | 93.4973i | −0.175231 | − | 0.184413i | ||||
\(508\) | 350.791 | + | 263.104i | 0.690534 | + | 0.517922i | ||||
\(509\) | −196.155 | −0.385374 | −0.192687 | − | 0.981260i | \(-0.561720\pi\) | ||||
−0.192687 | + | 0.981260i | \(0.561720\pi\) | |||||||
\(510\) | 534.532 | − | 457.639i | 1.04810 | − | 0.897331i | ||||
\(511\) | 110.269i | 0.215791i | ||||||||
\(512\) | 305.125 | + | 411.148i | 0.595948 | + | 0.803023i | ||||
\(513\) | −213.620 | − | 249.124i | −0.416413 | − | 0.485622i | ||||
\(514\) | 302.030 | − | 348.237i | 0.587608 | − | 0.677503i | ||||
\(515\) | −324.859 | − | 40.0807i | −0.630795 | − | 0.0778265i | ||||
\(516\) | −48.6432 | − | 416.183i | −0.0942698 | − | 0.806556i | ||||
\(517\) | −418.880 | + | 418.880i | −0.810213 | + | 0.810213i | ||||
\(518\) | −39.2946 | − | 552.995i | −0.0758582 | − | 1.06756i | ||||
\(519\) | 6.36893 | − | 249.461i | 0.0122715 | − | 0.480657i | ||||
\(520\) | −447.194 | + | 40.3822i | −0.859988 | + | 0.0776580i | ||||
\(521\) | 22.8866i | 0.0439282i | 0.999759 | + | 0.0219641i | \(0.00699195\pi\) | ||||
−0.999759 | + | 0.0219641i | \(0.993008\pi\) | |||||||
\(522\) | 469.725 | − | 9.34308i | 0.899856 | − | 0.0178986i | ||||
\(523\) | −665.171 | + | 665.171i | −1.27184 | + | 1.27184i | −0.326715 | + | 0.945123i | \(0.605942\pi\) |
−0.945123 | + | 0.326715i | \(0.894058\pi\) | |||||||
\(524\) | 79.2985 | − | 11.3267i | 0.151333 | − | 0.0216159i | ||||
\(525\) | −147.317 | + | 530.147i | −0.280604 | + | 1.00980i | ||||
\(526\) | 400.696 | − | 461.997i | 0.761779 | − | 0.878320i | ||||
\(527\) | 144.990 | − | 144.990i | 0.275124 | − | 0.275124i | ||||
\(528\) | −172.611 | + | 296.521i | −0.326915 | + | 0.561592i | ||||
\(529\) | − | 283.239i | − | 0.535423i | ||||||
\(530\) | 14.9765 | − | 288.752i | 0.0282576 | − | 0.544816i | ||||
\(531\) | 534.016 | + | 27.2855i | 1.00568 | + | 0.0513851i | ||||
\(532\) | −285.342 | − | 214.016i | −0.536358 | − | 0.402285i | ||||
\(533\) | 281.118 | − | 281.118i | 0.527426 | − | 0.527426i | ||||
\(534\) | 182.071 | + | 166.243i | 0.340958 | + | 0.311316i | ||||
\(535\) | −752.806 | − | 92.8802i | −1.40711 | − | 0.173608i | ||||
\(536\) | 219.741 | − | 340.886i | 0.409965 | − | 0.635981i | ||||
\(537\) | −456.843 | − | 480.781i | −0.850731 | − | 0.895309i | ||||
\(538\) | −12.7807 | − | 179.863i | −0.0237559 | − | 0.334318i | ||||
\(539\) | − | 34.4795i | − | 0.0639694i | ||||||
\(540\) | −31.0098 | + | 539.109i | −0.0574255 | + | 0.998350i | ||||
\(541\) | 197.624 | 0.365294 | 0.182647 | − | 0.983179i | \(-0.441533\pi\) | ||||
0.182647 | + | 0.983179i | \(0.441533\pi\) | |||||||
\(542\) | −810.575 | + | 57.5976i | −1.49553 | + | 0.106269i | ||||
\(543\) | 401.148 | − | 381.175i | 0.738763 | − | 0.701979i | ||||
\(544\) | 313.379 | − | 682.036i | 0.576064 | − | 1.25374i | ||||
\(545\) | −90.2605 | + | 70.4342i | −0.165616 | + | 0.129237i | ||||
\(546\) | 333.177 | − | 364.901i | 0.610215 | − | 0.668317i | ||||
\(547\) | 547.610 | + | 547.610i | 1.00111 | + | 1.00111i | 0.999999 | + | 0.00111506i | \(0.000354935\pi\) |
0.00111506 | + | 0.999999i | \(0.499645\pi\) | |||||||
\(548\) | 38.2583 | + | 28.6949i | 0.0698144 | + | 0.0523630i | ||||
\(549\) | 3.41183 | − | 66.7744i | 0.00621463 | − | 0.121629i | ||||
\(550\) | 351.965 | + | 62.0774i | 0.639937 | + | 0.112868i | ||||
\(551\) | 317.244 | 0.575760 | ||||||||
\(552\) | 70.0552 | + | 369.663i | 0.126912 | + | 0.669679i | ||||
\(553\) | 354.592 | + | 354.592i | 0.641216 | + | 0.641216i | ||||
\(554\) | −406.618 | − | 352.665i | −0.733967 | − | 0.636579i | ||||
\(555\) | −455.561 | + | 337.146i | −0.820830 | + | 0.607471i | ||||
\(556\) | 655.800 | − | 93.6722i | 1.17950 | − | 0.168475i | ||||
\(557\) | −13.7649 | − | 13.7649i | −0.0247126 | − | 0.0247126i | 0.694643 | − | 0.719355i | \(-0.255563\pi\) |
−0.719355 | + | 0.694643i | \(0.755563\pi\) | |||||||
\(558\) | 3.12922 | + | 157.322i | 0.00560792 | + | 0.281939i | ||||
\(559\) | 391.966 | 0.701192 | ||||||||
\(560\) | 94.0833 | + | 579.327i | 0.168006 | + | 1.03451i | ||||
\(561\) | 502.819 | + | 12.8374i | 0.896291 | + | 0.0228830i | ||||
\(562\) | 300.130 | − | 21.3265i | 0.534038 | − | 0.0379475i | ||||
\(563\) | 50.4772 | + | 50.4772i | 0.0896575 | + | 0.0896575i | 0.750513 | − | 0.660856i | \(-0.229806\pi\) |
−0.660856 | + | 0.750513i | \(0.729806\pi\) | |||||||
\(564\) | 115.450 | + | 987.774i | 0.204699 | + | 1.75137i | ||||
\(565\) | 601.733 | + | 74.2409i | 1.06501 | + | 0.131400i | ||||
\(566\) | −325.827 | − | 282.594i | −0.575667 | − | 0.499283i | ||||
\(567\) | −375.184 | − | 460.841i | −0.661700 | − | 0.812770i | ||||
\(568\) | −78.1248 | − | 361.543i | −0.137544 | − | 0.636519i | ||||
\(569\) | −981.959 | −1.72576 | −0.862882 | − | 0.505406i | \(-0.831343\pi\) | ||||
−0.862882 | + | 0.505406i | \(0.831343\pi\) | |||||||
\(570\) | −28.1745 | + | 363.544i | −0.0494290 | + | 0.637797i | ||||
\(571\) | − | 721.470i | − | 1.26352i | −0.775164 | − | 0.631760i | \(-0.782333\pi\) | ||
0.775164 | − | 0.631760i | \(-0.217667\pi\) | |||||||
\(572\) | −256.758 | − | 192.577i | −0.448878 | − | 0.336673i | ||||
\(573\) | 538.288 | − | 511.486i | 0.939420 | − | 0.892646i | ||||
\(574\) | −392.578 | − | 340.488i | −0.683933 | − | 0.593184i | ||||
\(575\) | 336.177 | − | 201.460i | 0.584655 | − | 0.350365i | ||||
\(576\) | 210.748 | + | 536.061i | 0.365882 | + | 0.930661i | ||||
\(577\) | −581.890 | + | 581.890i | −1.00847 | + | 1.00847i | −0.00851059 | + | 0.999964i | \(0.502709\pi\) |
−0.999964 | + | 0.00851059i | \(0.997291\pi\) | |||||||
\(578\) | −521.035 | + | 37.0236i | −0.901445 | + | 0.0640546i | ||||
\(579\) | −926.718 | − | 23.6598i | −1.60055 | − | 0.0408633i | ||||
\(580\) | −376.113 | − | 362.000i | −0.648471 | − | 0.624137i | ||||
\(581\) | − | 795.228i | − | 1.36872i | ||||||
\(582\) | 692.800 | − | 31.4839i | 1.19038 | − | 0.0540960i | ||||
\(583\) | 146.142 | − | 146.142i | 0.250673 | − | 0.250673i | ||||
\(584\) | 65.1479 | − | 101.064i | 0.111555 | − | 0.173055i | ||||
\(585\) | −497.529 | − | 87.3564i | −0.850477 | − | 0.149327i | ||||
\(586\) | −283.640 | − | 246.005i | −0.484027 | − | 0.419803i | ||||
\(587\) | −681.614 | + | 681.614i | −1.16118 | + | 1.16118i | −0.176965 | + | 0.984217i | \(0.556628\pi\) |
−0.984217 | + | 0.176965i | \(0.943372\pi\) | |||||||
\(588\) | −45.4052 | − | 35.9020i | −0.0772197 | − | 0.0610579i | ||||
\(589\) | 106.253i | 0.180395i | ||||||||
\(590\) | −397.786 | − | 441.306i | −0.674213 | − | 0.747977i | ||||
\(591\) | 846.208 | + | 21.6044i | 1.43182 | + | 0.0365556i | ||||
\(592\) | −290.700 | + | 530.048i | −0.491047 | + | 0.895352i | ||||
\(593\) | −428.337 | + | 428.337i | −0.722322 | + | 0.722322i | −0.969078 | − | 0.246756i | \(-0.920635\pi\) |
0.246756 | + | 0.969078i | \(0.420635\pi\) | |||||||
\(594\) | −274.470 | + | 271.393i | −0.462071 | + | 0.456891i | ||||
\(595\) | 678.325 | − | 529.326i | 1.14004 | − | 0.889624i | ||||
\(596\) | −106.233 | + | 15.1739i | −0.178243 | + | 0.0254596i | ||||
\(597\) | 605.422 | − | 575.277i | 1.01411 | − | 0.963614i | ||||
\(598\) | −351.069 | + | 24.9461i | −0.587072 | + | 0.0417159i | ||||
\(599\) | − | 798.031i | − | 1.33227i | −0.745830 | − | 0.666136i | \(-0.767947\pi\) | ||
0.745830 | − | 0.666136i | \(-0.232053\pi\) | |||||||
\(600\) | 448.235 | − | 398.856i | 0.747058 | − | 0.664759i | ||||
\(601\) | −20.9629 | −0.0348801 | −0.0174400 | − | 0.999848i | \(-0.505552\pi\) | ||||
−0.0174400 | + | 0.999848i | \(0.505552\pi\) | |||||||
\(602\) | −36.3147 | − | 511.060i | −0.0603235 | − | 0.848937i | ||||
\(603\) | 338.674 | − | 305.748i | 0.561649 | − | 0.507044i | ||||
\(604\) | 3.89342 | + | 27.2579i | 0.00644606 | + | 0.0451289i | ||||
\(605\) | −215.033 | − | 275.562i | −0.355427 | − | 0.455474i | ||||
\(606\) | −509.238 | + | 557.725i | −0.840327 | + | 0.920339i | ||||
\(607\) | 648.167 | + | 648.167i | 1.06782 | + | 1.06782i | 0.997526 | + | 0.0702937i | \(0.0223936\pi\) |
0.0702937 | + | 0.997526i | \(0.477606\pi\) | |||||||
\(608\) | 135.081 | + | 364.733i | 0.222172 | + | 0.599890i | ||||
\(609\) | 574.280 | + | 14.6618i | 0.942988 | + | 0.0240752i | ||||
\(610\) | −55.1818 | + | 49.7399i | −0.0904619 | + | 0.0815408i | ||||
\(611\) | −930.298 | −1.52258 | ||||||||
\(612\) | 540.469 | − | 648.783i | 0.883120 | − | 1.06010i | ||||
\(613\) | −394.049 | − | 394.049i | −0.642821 | − | 0.642821i | 0.308427 | − | 0.951248i | \(-0.400197\pi\) |
−0.951248 | + | 0.308427i | \(0.900197\pi\) | |||||||
\(614\) | 163.809 | − | 188.870i | 0.266790 | − | 0.307605i | ||||
\(615\) | −78.4867 | + | 525.417i | −0.127621 | + | 0.854336i | ||||
\(616\) | −227.301 | + | 352.613i | −0.368995 | + | 0.572424i | ||||
\(617\) | 597.558 | + | 597.558i | 0.968489 | + | 0.968489i | 0.999518 | − | 0.0310296i | \(-0.00987863\pi\) |
−0.0310296 | + | 0.999518i | \(0.509879\pi\) | |||||||
\(618\) | −392.382 | + | 17.8316i | −0.634922 | + | 0.0288537i | ||||
\(619\) | 541.863 | 0.875384 | 0.437692 | − | 0.899125i | \(-0.355796\pi\) | ||||
0.437692 | + | 0.899125i | \(0.355796\pi\) | |||||||
\(620\) | 121.242 | − | 125.969i | 0.195552 | − | 0.203176i | ||||
\(621\) | −32.3808 | + | 422.033i | −0.0521430 | + | 0.679602i | ||||
\(622\) | −72.9675 | − | 1026.88i | −0.117311 | − | 1.65093i | ||||
\(623\) | 213.169 | + | 213.169i | 0.342166 | + | 0.342166i | ||||
\(624\) | −520.951 | + | 137.596i | −0.834858 | + | 0.220507i | ||||
\(625\) | −551.154 | − | 294.711i | −0.881846 | − | 0.471537i | ||||
\(626\) | −717.280 | + | 827.014i | −1.14582 | + | 1.32111i | ||||
\(627\) | −188.943 | + | 179.536i | −0.301345 | + | 0.286341i | ||||
\(628\) | 114.241 | − | 152.315i | 0.181913 | − | 0.242540i | ||||
\(629\) | 886.235 | 1.40896 | ||||||||
\(630\) | −67.8036 | + | 656.791i | −0.107625 | + | 1.04253i | ||||
\(631\) | 941.798i | 1.49255i | 0.665638 | + | 0.746274i | \(0.268159\pi\) | ||||
−0.665638 | + | 0.746274i | \(0.731841\pi\) | |||||||
\(632\) | −115.496 | − | 534.488i | −0.182747 | − | 0.845708i | ||||
\(633\) | 176.015 | + | 185.238i | 0.278064 | + | 0.292635i | ||||
\(634\) | 6.89048 | − | 7.94463i | 0.0108683 | − | 0.0125310i | ||||
\(635\) | 67.1173 | − | 543.995i | 0.105697 | − | 0.856685i | ||||
\(636\) | −40.2793 | − | 344.623i | −0.0633323 | − | 0.541860i | ||||
\(637\) | 38.2881 | − | 38.2881i | 0.0601068 | − | 0.0601068i | ||||
\(638\) | −26.4476 | − | 372.199i | −0.0414539 | − | 0.583384i | ||||
\(639\) | 21.2341 | − | 415.581i | 0.0332302 | − | 0.650361i | ||||
\(640\) | 256.041 | − | 586.552i | 0.400065 | − | 0.916487i | ||||
\(641\) | − | 563.904i | − | 0.879726i | −0.898065 | − | 0.439863i | \(-0.855027\pi\) | ||
0.898065 | − | 0.439863i | \(-0.144973\pi\) | |||||||
\(642\) | −909.279 | + | 41.3216i | −1.41632 | + | 0.0643639i | ||||
\(643\) | −41.5913 | + | 41.5913i | −0.0646832 | + | 0.0646832i | −0.738708 | − | 0.674025i | \(-0.764564\pi\) |
0.674025 | + | 0.738708i | \(0.264564\pi\) | |||||||
\(644\) | 65.0514 | + | 455.426i | 0.101012 | + | 0.707183i | ||||
\(645\) | −421.014 | + | 311.579i | −0.652735 | + | 0.483069i | ||||
\(646\) | 373.591 | − | 430.745i | 0.578315 | − | 0.666789i | ||||
\(647\) | 28.6494 | − | 28.6494i | 0.0442804 | − | 0.0442804i | −0.684620 | − | 0.728900i | \(-0.740032\pi\) |
0.728900 | + | 0.684620i | \(0.240032\pi\) | |||||||
\(648\) | 71.5963 | + | 644.033i | 0.110488 | + | 0.993877i | ||||
\(649\) | − | 424.678i | − | 0.654358i | ||||||
\(650\) | 321.909 | + | 459.777i | 0.495244 | + | 0.707350i | ||||
\(651\) | −4.91059 | + | 192.340i | −0.00754315 | + | 0.295453i | ||||
\(652\) | 6.16252 | − | 8.21634i | 0.00945171 | − | 0.0126018i | ||||
\(653\) | −386.414 | + | 386.414i | −0.591753 | + | 0.591753i | −0.938105 | − | 0.346352i | \(-0.887420\pi\) |
0.346352 | + | 0.938105i | \(0.387420\pi\) | |||||||
\(654\) | −92.6374 | + | 101.458i | −0.141647 | + | 0.155135i | ||||
\(655\) | −61.5995 | − | 78.9390i | −0.0940451 | − | 0.120517i | ||||
\(656\) | 158.644 | + | 544.003i | 0.241835 | + | 0.829272i | ||||
\(657\) | 100.409 | − | 90.6466i | 0.152829 | − | 0.137970i | ||||
\(658\) | 86.1899 | + | 1212.96i | 0.130988 | + | 1.84340i | ||||
\(659\) | 851.849i | 1.29264i | 0.763067 | + | 0.646320i | \(0.223693\pi\) | ||||
−0.763067 | + | 0.646320i | \(0.776307\pi\) | |||||||
\(660\) | 428.869 | + | 2.74764i | 0.649801 | + | 0.00416309i | ||||
\(661\) | −523.764 | −0.792381 | −0.396191 | − | 0.918168i | \(-0.629668\pi\) | ||||
−0.396191 | + | 0.918168i | \(0.629668\pi\) | |||||||
\(662\) | 1143.55 | − | 81.2580i | 1.72742 | − | 0.122746i | ||||
\(663\) | 544.105 | + | 572.616i | 0.820671 | + | 0.863673i | ||||
\(664\) | −469.827 | + | 728.845i | −0.707571 | + | 1.09766i | ||||
\(665\) | −54.5949 | + | 442.499i | −0.0820976 | + | 0.665412i | ||||
\(666\) | −471.243 | + | 490.370i | −0.707572 | + | 0.736291i | ||||
\(667\) | −289.334 | − | 289.334i | −0.433784 | − | 0.433784i | ||||
\(668\) | 375.444 | − | 500.571i | 0.562042 | − | 0.749358i | ||||
\(669\) | 24.0617 | − | 942.458i | 0.0359667 | − | 1.40876i | ||||
\(670\) | −506.286 | − | 26.2591i | −0.755650 | − | 0.0391927i | ||||
\(671\) | −53.1026 | −0.0791394 | ||||||||
\(672\) | 227.668 | + | 666.488i | 0.338792 | + | 0.991798i | ||||
\(673\) | −319.629 | − | 319.629i | −0.474931 | − | 0.474931i | 0.428575 | − | 0.903506i | \(-0.359016\pi\) |
−0.903506 | + | 0.428575i | \(0.859016\pi\) | |||||||
\(674\) | 307.623 | + | 266.806i | 0.456414 | + | 0.395854i | ||||
\(675\) | 603.841 | − | 301.663i | 0.894580 | − | 0.446908i | ||||
\(676\) | 24.3164 | + | 170.239i | 0.0359710 | + | 0.251833i | ||||
\(677\) | 509.574 | + | 509.574i | 0.752694 | + | 0.752694i | 0.974981 | − | 0.222288i | \(-0.0713524\pi\) |
−0.222288 | + | 0.974981i | \(0.571352\pi\) | |||||||
\(678\) | 726.804 | − | 33.0292i | 1.07198 | − | 0.0487156i | ||||
\(679\) | 847.991 | 1.24888 | ||||||||
\(680\) | −934.430 | + | 84.3802i | −1.37416 | + | 0.124089i | ||||
\(681\) | 3.63979 | − | 142.565i | 0.00534477 | − | 0.209346i | ||||
\(682\) | 124.658 | − | 8.85793i | 0.182784 | − | 0.0129882i | ||||
\(683\) | 278.938 | + | 278.938i | 0.408402 | + | 0.408402i | 0.881181 | − | 0.472779i | \(-0.156749\pi\) |
−0.472779 | + | 0.881181i | \(0.656749\pi\) | |||||||
\(684\) | 39.6875 | + | 435.758i | 0.0580226 | + | 0.637073i | ||||
\(685\) | 7.32001 | − | 59.3297i | 0.0106861 | − | 0.0866126i | ||||
\(686\) | 489.678 | + | 424.704i | 0.713816 | + | 0.619102i | ||||
\(687\) | −263.752 | − | 277.572i | −0.383918 | − | 0.404035i | ||||
\(688\) | −268.655 | + | 489.853i | −0.390487 | + | 0.711996i | ||||
\(689\) | 324.570 | 0.471074 | ||||||||
\(690\) | 357.256 | − | 305.865i | 0.517763 | − | 0.443282i | ||||
\(691\) | 108.692i | 0.157297i | 0.996902 | + | 0.0786483i | \(0.0250604\pi\) | ||||
−0.996902 | + | 0.0786483i | \(0.974940\pi\) | |||||||
\(692\) | −199.639 | + | 266.174i | −0.288496 | + | 0.384645i | ||||
\(693\) | −350.326 | + | 316.266i | −0.505520 | + | 0.456373i | ||||
\(694\) | 765.418 | + | 663.857i | 1.10291 | + | 0.956567i | ||||
\(695\) | −509.429 | − | 652.827i | −0.732992 | − | 0.939319i | ||||
\(696\) | −517.678 | − | 352.727i | −0.743791 | − | 0.506791i | ||||
\(697\) | 587.408 | − | 587.408i | 0.842766 | − | 0.842766i | ||||
\(698\) | −305.382 | + | 21.6997i | −0.437510 | + | 0.0310884i | ||||
\(699\) | 20.6751 | − | 809.808i | 0.0295780 | − | 1.15852i | ||||
\(700\) | 569.651 | − | 462.314i | 0.813787 | − | 0.660449i | ||||
\(701\) | − | 1299.56i | − | 1.85387i | −0.375224 | − | 0.926934i | \(-0.622434\pi\) | ||
0.375224 | − | 0.926934i | \(-0.377566\pi\) | |||||||
\(702\) | −606.159 | − | 3.41716i | −0.863474 | − | 0.00486775i | ||||
\(703\) | −324.728 | + | 324.728i | −0.461918 | + | 0.461918i | ||||
\(704\) | 416.653 | − | 188.887i | 0.591837 | − | 0.268305i | ||||
\(705\) | 999.241 | − | 739.507i | 1.41736 | − | 1.04895i | ||||
\(706\) | −425.830 | − | 369.328i | −0.603158 | − | 0.523127i | ||||
\(707\) | −652.985 | + | 652.985i | −0.923599 | + | 0.923599i | ||||
\(708\) | −559.248 | − | 442.199i | −0.789898 | − | 0.624575i | ||||
\(709\) | 1025.36i | 1.44620i | 0.690743 | + | 0.723100i | \(0.257283\pi\) | ||||
−0.690743 | + | 0.723100i | \(0.742717\pi\) | |||||||
\(710\) | −343.433 | + | 309.564i | −0.483708 | + | 0.436006i | ||||
\(711\) | 31.3914 | − | 614.375i | 0.0441511 | − | 0.864100i | ||||
\(712\) | −69.4324 | − | 321.316i | −0.0975174 | − | 0.451287i | ||||
\(713\) | 96.9047 | − | 96.9047i | 0.135911 | − | 0.135911i | ||||
\(714\) | 696.188 | − | 762.476i | 0.975053 | − | 1.06789i | ||||
\(715\) | −49.1259 | + | 398.172i | −0.0687076 | + | 0.556884i | ||||
\(716\) | 125.040 | + | 875.403i | 0.174636 | + | 1.22263i | ||||
\(717\) | 340.695 | + | 358.548i | 0.475168 | + | 0.500066i | ||||
\(718\) | −107.871 | + | 7.66503i | −0.150238 | + | 0.0106755i | ||||
\(719\) | − | 873.333i | − | 1.21465i | −0.794454 | − | 0.607325i | \(-0.792243\pi\) | ||
0.794454 | − | 0.607325i | \(-0.207757\pi\) | |||||||
\(720\) | 450.181 | − | 561.905i | 0.625251 | − | 0.780424i | ||||
\(721\) | −480.278 | −0.666127 | ||||||||
\(722\) | −30.2325 | − | 425.465i | −0.0418733 | − | 0.589286i | ||||
\(723\) | −44.3361 | + | 42.1285i | −0.0613224 | + | 0.0582691i | ||||
\(724\) | −730.408 | + | 104.329i | −1.00885 | + | 0.144101i | ||||
\(725\) | −158.601 | + | 632.957i | −0.218760 | + | 0.873044i | ||||
\(726\) | −309.748 | − | 282.819i | −0.426650 | − | 0.389558i | ||||
\(727\) | 165.684 | + | 165.684i | 0.227901 | + | 0.227901i | 0.811815 | − | 0.583914i | \(-0.198480\pi\) |
−0.583914 | + | 0.811815i | \(0.698480\pi\) | |||||||
\(728\) | −643.971 | + | 139.154i | −0.884575 | + | 0.191146i | ||||
\(729\) | −111.212 | + | 720.467i | −0.152554 | + | 0.988295i | ||||
\(730\) | −150.101 | − | 7.78518i | −0.205618 | − | 0.0106646i | ||||
\(731\) | 819.029 | 1.12042 | ||||||||
\(732\) | −55.2934 | + | 69.9294i | −0.0755374 | + | 0.0955319i | ||||
\(733\) | 896.646 | + | 896.646i | 1.22325 | + | 1.22325i | 0.966468 | + | 0.256786i | \(0.0826637\pi\) |
0.256786 | + | 0.966468i | \(0.417336\pi\) | |||||||
\(734\) | −16.5586 | + | 19.0919i | −0.0225594 | + | 0.0260107i | ||||
\(735\) | −10.6898 | + | 71.5613i | −0.0145440 | + | 0.0973623i | ||||
\(736\) | 209.448 | − | 455.841i | 0.284576 | − | 0.619349i | ||||
\(737\) | −256.239 | − | 256.239i | −0.347679 | − | 0.347679i | ||||
\(738\) | 12.6776 | + | 637.370i | 0.0171783 | + | 0.863644i | ||||
\(739\) | −135.132 | −0.182858 | −0.0914290 | − | 0.995812i | \(-0.529143\pi\) | ||||
−0.0914290 | + | 0.995812i | \(0.529143\pi\) | |||||||
\(740\) | 755.526 | − | 14.4464i | 1.02098 | − | 0.0195221i | ||||
\(741\) | −409.181 | − | 10.4467i | −0.552201 | − | 0.0140981i | ||||
\(742\) | −30.0707 | − | 423.187i | −0.0405265 | − | 0.570333i | ||||
\(743\) | 472.574 | + | 472.574i | 0.636035 | + | 0.636035i | 0.949575 | − | 0.313540i | \(-0.101515\pi\) |
−0.313540 | + | 0.949575i | \(0.601515\pi\) | |||||||
\(744\) | 118.137 | − | 173.383i | 0.158786 | − | 0.233041i | ||||
\(745\) | 82.5221 | + | 105.751i | 0.110768 | + | 0.141948i | ||||
\(746\) | 759.465 | − | 875.652i | 1.01805 | − | 1.17380i | ||||
\(747\) | −724.116 | + | 653.716i | −0.969366 | + | 0.875122i | ||||
\(748\) | −536.507 | − | 402.397i | −0.717256 | − | 0.537964i | ||||
\(749\) | −1112.96 | −1.48593 | ||||||||
\(750\) | −711.249 | − | 237.961i | −0.948331 | − | 0.317281i | ||||
\(751\) | − | 643.372i | − | 0.856687i | −0.903616 | − | 0.428344i | \(-0.859097\pi\) | ||
0.903616 | − | 0.428344i | \(-0.140903\pi\) | |||||||
\(752\) | 637.630 | − | 1162.63i | 0.847912 | − | 1.54604i | ||||
\(753\) | 924.986 | − | 878.930i | 1.22840 | − | 1.16724i | ||||
\(754\) | 383.943 | − | 442.681i | 0.509208 | − | 0.587110i | ||||
\(755\) | 27.1343 | − | 21.1741i | 0.0359394 | − | 0.0280451i | ||||
\(756\) | 51.7037 | + | 790.649i | 0.0683912 | + | 1.04583i | ||||
\(757\) | 205.600 | − | 205.600i | 0.271598 | − | 0.271598i | −0.558145 | − | 0.829743i | \(-0.688487\pi\) |
0.829743 | + | 0.558145i | \(0.188487\pi\) | |||||||
\(758\) | 0.827892 | + | 11.6510i | 0.00109221 | + | 0.0153707i | ||||
\(759\) | 336.061 | + | 8.57991i | 0.442768 | + | 0.0113042i | ||||
\(760\) | 311.469 | − | 373.305i | 0.409828 | − | 0.491191i | ||||
\(761\) | 477.527i | 0.627499i | 0.949506 | + | 0.313750i | \(0.101585\pi\) | ||||
−0.949506 | + | 0.313750i | \(0.898415\pi\) | |||||||
\(762\) | −29.8599 | − | 657.065i | −0.0391863 | − | 0.862290i | ||||
\(763\) | −118.787 | + | 118.787i | −0.155684 | + | 0.155684i | ||||
\(764\) | −980.111 | + | 139.996i | −1.28287 | + | 0.183240i | ||||
\(765\) | −1039.61 | − | 182.535i | −1.35896 | − | 0.238607i | ||||
\(766\) | −255.175 | + | 294.213i | −0.333126 | + | 0.384090i | ||||
\(767\) | 471.588 | − | 471.588i | 0.614847 | − | 0.614847i | ||||
\(768\) | 185.103 | − | 745.360i | 0.241019 | − | 0.970520i | ||||
\(769\) | 743.814i | 0.967249i | 0.875276 | + | 0.483624i | \(0.160680\pi\) | ||||
−0.875276 | + | 0.483624i | \(0.839320\pi\) | |||||||
\(770\) | 523.703 | + | 27.1625i | 0.680134 | + | 0.0352760i | ||||
\(771\) | −691.226 | − | 17.6476i | −0.896532 | − | 0.0228892i | ||||
\(772\) | 988.806 | + | 741.636i | 1.28084 | + | 0.960668i | ||||
\(773\) | 357.445 | − | 357.445i | 0.462412 | − | 0.462412i | −0.437033 | − | 0.899445i | \(-0.643971\pi\) |
0.899445 | + | 0.437033i | \(0.143971\pi\) | |||||||
\(774\) | −435.507 | + | 453.184i | −0.562671 | + | 0.585509i | ||||
\(775\) | −211.992 | − | 53.1192i | −0.273538 | − | 0.0685409i | ||||
\(776\) | −777.203 | − | 501.000i | −1.00155 | − | 0.645618i | ||||
\(777\) | −602.835 | + | 572.820i | −0.775850 | + | 0.737220i | ||||
\(778\) | −4.89869 | − | 68.9397i | −0.00629652 | − | 0.0886114i | ||||
\(779\) | 430.468i | 0.552591i | ||||||||
\(780\) | 473.190 | + | 479.292i | 0.606654 | + | 0.614477i | ||||
\(781\) | −330.492 | −0.423165 | ||||||||
\(782\) | −733.573 | + | 52.1260i | −0.938073 | + | 0.0666573i | ||||
\(783\) | −458.735 | − | 534.979i | −0.585869 | − | 0.683242i | ||||
\(784\) | 21.6071 | + | 74.0927i | 0.0275601 | + | 0.0945060i | ||||
\(785\) | −236.205 | − | 29.1426i | −0.300898 | − | 0.0371244i | ||||
\(786\) | −88.7319 | − | 81.0178i | −0.112891 | − | 0.103076i | ||||
\(787\) | 188.018 | + | 188.018i | 0.238905 | + | 0.238905i | 0.816396 | − | 0.577492i | \(-0.195968\pi\) |
−0.577492 | + | 0.816396i | \(0.695968\pi\) | |||||||
\(788\) | −902.903 | − | 677.205i | −1.14582 | − | 0.859398i | ||||
\(789\) | −917.032 | − | 23.4126i | −1.16227 | − | 0.0296737i | ||||
\(790\) | −507.715 | + | 457.645i | −0.642677 | + | 0.579297i | ||||
\(791\) | 889.612 | 1.12467 | ||||||||
\(792\) | 507.934 | − | 82.8901i | 0.641331 | − | 0.104659i | ||||
\(793\) | −58.9682 | − | 58.9682i | −0.0743609 | − | 0.0743609i | ||||
\(794\) | 953.042 | + | 826.586i | 1.20030 | + | 1.04104i | ||||
\(795\) | −348.624 | + | 258.005i | −0.438520 | + | 0.324535i | ||||
\(796\) | −1102.35 | + | 157.456i | −1.38486 | + | 0.197808i | ||||
\(797\) | −651.365 | − | 651.365i | −0.817271 | − | 0.817271i | 0.168441 | − | 0.985712i | \(-0.446127\pi\) |
−0.985712 | + | 0.168441i | \(0.946127\pi\) | |||||||
\(798\) | 24.2888 | + | 534.474i | 0.0304371 | + | 0.669766i | ||||
\(799\) | −1943.90 | −2.43291 | ||||||||
\(800\) | −795.237 | + | 87.1671i | −0.994046 | + | 0.108959i | ||||
\(801\) | 18.8715 | − | 369.342i | 0.0235599 | − | 0.461102i | ||||
\(802\) | 207.252 | − | 14.7269i | 0.258419 | − | 0.0183627i | ||||
\(803\) | −75.9686 | − | 75.9686i | −0.0946060 | − | 0.0946060i | ||||
\(804\) | −604.246 | + | 70.6240i | −0.751550 | + | 0.0878408i | ||||
\(805\) | 453.361 | − | 353.777i | 0.563181 | − | 0.439475i | ||||
\(806\) | 148.264 | + | 128.592i | 0.183951 | + | 0.159543i | ||||
\(807\) | −196.074 | + | 186.311i | −0.242966 | + | 0.230869i | ||||
\(808\) | 984.264 | − | 212.687i | 1.21815 | − | 0.263226i | ||||
\(809\) | 735.550 | 0.909209 | 0.454604 | − | 0.890694i | \(-0.349781\pi\) | ||||
0.454604 | + | 0.890694i | \(0.349781\pi\) | |||||||
\(810\) | 653.797 | − | 478.174i | 0.807156 | − | 0.590338i | ||||
\(811\) | − | 92.4709i | − | 0.114021i | −0.998374 | − | 0.0570104i | \(-0.981843\pi\) | ||
0.998374 | − | 0.0570104i | \(-0.0181568\pi\) | |||||||
\(812\) | −612.756 | − | 459.586i | −0.754625 | − | 0.565993i | ||||
\(813\) | 839.634 | + | 883.630i | 1.03276 | + | 1.08688i | ||||
\(814\) | 408.051 | + | 353.908i | 0.501291 | + | 0.434777i | ||||
\(815\) | −12.7416 | − | 1.57204i | −0.0156339 | − | 0.00192889i | ||||
\(816\) | −1088.55 | + | 287.513i | −1.33401 | + | 0.352345i | ||||
\(817\) | −300.103 | + | 300.103i | −0.367323 | + | 0.367323i | ||||
\(818\) | 1163.55 | − | 82.6793i | 1.42244 | − | 0.101075i | ||||
\(819\) | −740.223 | − | 37.8216i | −0.903813 | − | 0.0461802i | ||||
\(820\) | 491.197 | − | 510.348i | 0.599021 | − | 0.622375i | ||||
\(821\) | 593.249i | 0.722593i | 0.932451 | + | 0.361296i | \(0.117666\pi\) | ||||
−0.932451 | + | 0.361296i | \(0.882334\pi\) | |||||||
\(822\) | −3.25661 | − | 71.6615i | −0.00396182 | − | 0.0871794i | ||||
\(823\) | 468.289 | − | 468.289i | 0.569003 | − | 0.569003i | −0.362846 | − | 0.931849i | \(-0.618195\pi\) |
0.931849 | + | 0.362846i | \(0.118195\pi\) | |||||||
\(824\) | 440.185 | + | 283.752i | 0.534206 | + | 0.344359i | ||||
\(825\) | −263.746 | − | 466.731i | −0.319692 | − | 0.565735i | ||||
\(826\) | −658.565 | − | 571.182i | −0.797295 | − | 0.691504i | ||||
\(827\) | 337.326 | − | 337.326i | 0.407891 | − | 0.407891i | −0.473111 | − | 0.881003i | \(-0.656869\pi\) |
0.881003 | + | 0.473111i | \(0.156869\pi\) | |||||||
\(828\) | 361.225 | − | 433.617i | 0.436262 | − | 0.523691i | ||||
\(829\) | − | 483.086i | − | 0.582733i | −0.956611 | − | 0.291367i | \(-0.905890\pi\) | ||
0.956611 | − | 0.291367i | \(-0.0941099\pi\) | |||||||
\(830\) | 1082.48 | + | 56.1444i | 1.30420 | + | 0.0676438i | ||||
\(831\) | −20.6061 | + | 807.109i | −0.0247968 | + | 0.971250i | ||||
\(832\) | 672.427 | + | 252.925i | 0.808206 | + | 0.303997i | ||||
\(833\) | 80.0045 | − | 80.0045i | 0.0960438 | − | 0.0960438i | ||||
\(834\) | −733.815 | − | 670.019i | −0.879874 | − | 0.803380i | ||||
\(835\) | −776.268 | − | 95.7749i | −0.929663 | − | 0.114700i | ||||
\(836\) | 344.027 | − | 49.1396i | 0.411516 | − | 0.0587794i | ||||
\(837\) | 179.177 | − | 153.641i | 0.214071 | − | 0.183562i | ||||
\(838\) | 462.210 | − | 32.8435i | 0.551563 | − | 0.0391928i | ||||
\(839\) | 835.860i | 0.996257i | 0.867103 | + | 0.498129i | \(0.165979\pi\) | ||||
−0.867103 | + | 0.498129i | \(0.834021\pi\) | |||||||
\(840\) | 581.079 | − | 661.368i | 0.691761 | − | 0.787343i | ||||
\(841\) | −159.738 | −0.189938 | ||||||||
\(842\) | 35.8451 | + | 504.450i | 0.0425713 | + | 0.599110i | ||||
\(843\) | −310.889 | − | 327.179i | −0.368789 | − | 0.388113i | ||||
\(844\) | −48.1759 | − | 337.280i | −0.0570804 | − | 0.399621i | ||||
\(845\) | 169.467 | − | 132.243i | 0.200553 | − | 0.156500i | ||||
\(846\) | 1033.64 | − | 1075.59i | 1.22180 | − | 1.27139i | ||||
\(847\) | −362.652 | − | 362.652i | −0.428161 | − | 0.428161i | ||||
\(848\) | −222.462 | + | 405.626i | −0.262337 | + | 0.478333i | ||||
\(849\) | −16.5119 | + | 646.745i | −0.0194487 | + | 0.761773i | ||||
\(850\) | 672.641 | + | 960.724i | 0.791343 | + | 1.13026i | ||||
\(851\) | 592.319 | 0.696026 | ||||||||
\(852\) | −344.127 | + | 435.217i | −0.403905 | + | 0.510818i | ||||
\(853\) | −306.961 | − | 306.961i | −0.359861 | − | 0.359861i | 0.503901 | − | 0.863762i | \(-0.331898\pi\) |
−0.863762 | + | 0.503901i | \(0.831898\pi\) | |||||||
\(854\) | −71.4217 | + | 82.3482i | −0.0836320 | + | 0.0964265i | ||||
\(855\) | 447.809 | − | 314.043i | 0.523753 | − | 0.367302i | ||||
\(856\) | 1020.06 | + | 657.547i | 1.19165 | + | 0.768162i | ||||
\(857\) | 861.944 | + | 861.944i | 1.00577 | + | 1.00577i | 0.999983 | + | 0.00578611i | \(0.00184179\pi\) |
0.00578611 | + | 0.999983i | \(0.498158\pi\) | |||||||
\(858\) | 21.8557 | + | 480.933i | 0.0254729 | + | 0.560528i | ||||
\(859\) | 518.926 | 0.604104 | 0.302052 | − | 0.953291i | \(-0.402328\pi\) | ||||
0.302052 | + | 0.953291i | \(0.402328\pi\) | |||||||
\(860\) | 698.232 | − | 13.3509i | 0.811898 | − | 0.0155243i | ||||
\(861\) | −19.8946 | + | 779.240i | −0.0231064 | + | 0.905041i | ||||
\(862\) | −17.4124 | − | 245.046i | −0.0202000 | − | 0.284276i | ||||
\(863\) | −284.726 | − | 284.726i | −0.329926 | − | 0.329926i | 0.522633 | − | 0.852558i | \(-0.324950\pi\) |
−0.852558 | + | 0.522633i | \(0.824950\pi\) | |||||||
\(864\) | 419.734 | − | 755.195i | 0.485803 | − | 0.874068i | ||||
\(865\) | 412.774 | + | 50.9274i | 0.477195 | + | 0.0588756i | ||||
\(866\) | −588.305 | + | 678.308i | −0.679336 | + | 0.783266i | ||||
\(867\) | 539.714 | + | 567.995i | 0.622508 | + | 0.655127i | ||||
\(868\) | 153.926 | − | 205.226i | 0.177334 | − | 0.236436i | ||||
\(869\) | −488.584 | −0.562237 | ||||||||
\(870\) | −60.5031 | + | 780.689i | −0.0695438 | + | 0.897344i | ||||
\(871\) | − | 569.087i | − | 0.653372i | ||||||
\(872\) | 179.051 | − | 38.6907i | 0.205334 | − | 0.0443701i | ||||
\(873\) | −697.090 | − | 772.161i | −0.798499 | − | 0.884492i | ||||
\(874\) | 249.691 | − | 287.890i | 0.285688 | − | 0.329394i | ||||
\(875\) | −855.569 | − | 330.147i | −0.977793 | − | 0.377310i | ||||
\(876\) | −179.144 | + | 20.9383i | −0.204502 | + | 0.0239021i | ||||
\(877\) | −127.814 | + | 127.814i | −0.145740 | + | 0.145740i | −0.776212 | − | 0.630472i | \(-0.782861\pi\) |
0.630472 | + | 0.776212i | \(0.282861\pi\) | |||||||
\(878\) | 33.8483 | + | 476.350i | 0.0385516 | + | 0.542540i | ||||
\(879\) | −14.3740 | + | 563.006i | −0.0163527 | + | 0.640507i | ||||
\(880\) | −463.938 | − | 334.303i | −0.527202 | − | 0.379890i | ||||
\(881\) | 833.425i | 0.945999i | 0.881063 | + | 0.472999i | \(0.156829\pi\) | ||||
−0.881063 | + | 0.472999i | \(0.843171\pi\) | |||||||
\(882\) | 1.72668 | + | 86.8092i | 0.00195769 | + | 0.0984231i | ||||
\(883\) | −314.080 | + | 314.080i | −0.355696 | + | 0.355696i | −0.862224 | − | 0.506527i | \(-0.830929\pi\) |
0.506527 | + | 0.862224i | \(0.330929\pi\) | |||||||
\(884\) | −148.923 | − | 1042.61i | −0.168465 | − | 1.17943i | ||||
\(885\) | −131.665 | + | 881.408i | −0.148774 | + | 0.995941i | ||||
\(886\) | −422.698 | + | 487.365i | −0.477086 | + | 0.550074i | ||||
\(887\) | −341.814 | + | 341.814i | −0.385359 | + | 0.385359i | −0.873029 | − | 0.487669i | \(-0.837847\pi\) |
0.487669 | + | 0.873029i | \(0.337847\pi\) | |||||||
\(888\) | 890.939 | − | 168.843i | 1.00331 | − | 0.190138i | ||||
\(889\) | − | 804.252i | − | 0.904670i | ||||||
\(890\) | −305.221 | + | 275.121i | −0.342945 | + | 0.309125i | ||||
\(891\) | 575.969 | + | 59.0123i | 0.646430 | + | 0.0662315i | ||||
\(892\) | −754.233 | + | 1005.60i | −0.845552 | + | 1.12736i | ||||
\(893\) | 712.269 | − | 712.269i | 0.797613 | − | 0.797613i | ||||
\(894\) | 118.870 | + | 108.536i | 0.132964 | + | 0.121405i | ||||
\(895\) | 871.434 | − | 680.018i | 0.973669 | − | 0.759797i | ||||
\(896\) | 267.475 | − | 900.169i | 0.298521 | − | 1.00465i | ||||
\(897\) | 363.655 | + | 382.710i | 0.405412 | + | 0.426655i | ||||
\(898\) | −68.4982 | − | 963.981i | −0.0762787 | − | 1.07348i | ||||
\(899\) | 228.171i | 0.253805i | ||||||||
\(900\) | −889.253 | − | 138.667i | −0.988059 | − | 0.154074i | ||||
\(901\) | 678.202 | 0.752722 | ||||||||
\(902\) | 505.037 | − | 35.8867i | 0.559908 | − | 0.0397857i | ||||
\(903\) | −557.121 | + | 529.381i | −0.616966 | + | 0.586247i | ||||
\(904\) | −815.350 | − | 525.590i | −0.901936 | − | 0.581405i | ||||
\(905\) | 567.385 | + | 727.096i | 0.626945 | + | 0.803421i | ||||
\(906\) | 27.8488 | − | 30.5005i | 0.0307382 | − | 0.0336650i | ||||
\(907\) | −542.622 | − | 542.622i | −0.598261 | − | 0.598261i | 0.341589 | − | 0.939850i | \(-0.389035\pi\) |
−0.939850 | + | 0.341589i | \(0.889035\pi\) | |||||||
\(908\) | −114.092 | + | 152.116i | −0.125652 | + | 0.167529i | ||||
\(909\) | 1131.38 | + | 57.8076i | 1.24464 | + | 0.0635948i | ||||
\(910\) | 551.388 | + | 611.714i | 0.605921 | + | 0.672213i | ||||
\(911\) | −695.346 | −0.763277 | −0.381639 | − | 0.924312i | \(-0.624640\pi\) | ||||
−0.381639 | + | 0.924312i | \(0.624640\pi\) | |||||||
\(912\) | 293.510 | − | 504.207i | 0.321831 | − | 0.552859i | ||||
\(913\) | 547.863 | + | 547.863i | 0.600069 | + | 0.600069i | ||||
\(914\) | 103.935 | + | 90.1446i | 0.113715 | + | 0.0986265i | ||||
\(915\) | 110.213 | + | 16.4636i | 0.120451 | + | 0.0179930i | ||||
\(916\) | 72.1899 | + | 505.402i | 0.0788099 | + | 0.551749i | ||||
\(917\) | −103.887 | − | 103.887i | −0.113290 | − | 0.113290i | ||||
\(918\) | −1266.59 | − | 7.14030i | −1.37973 | − | 0.00777811i | ||||
\(919\) | 718.456 | 0.781780 | 0.390890 | − | 0.920437i | \(-0.372167\pi\) | ||||
0.390890 | + | 0.920437i | \(0.372167\pi\) | |||||||
\(920\) | −624.530 | + | 56.3959i | −0.678837 | + | 0.0612998i | ||||
\(921\) | −374.893 | − | 9.57132i | −0.407050 | − | 0.0103923i | ||||
\(922\) | −870.688 | + | 61.8690i | −0.944347 | + | 0.0671031i | ||||
\(923\) | −366.998 | − | 366.998i | −0.397614 | − | 0.397614i | ||||
\(924\) | 625.034 | − | 73.0536i | 0.676444 | − | 0.0790624i | ||||
\(925\) | −485.547 | − | 810.232i | −0.524915 | − | 0.875926i | ||||
\(926\) | 66.4743 | + | 57.6540i | 0.0717865 | + | 0.0622613i | ||||
\(927\) | 394.812 | + | 437.330i | 0.425902 | + | 0.471769i | ||||
\(928\) | 290.077 | + | 783.242i | 0.312583 | + | 0.844010i | ||||
\(929\) | −832.286 | −0.895895 | −0.447947 | − | 0.894060i | \(-0.647845\pi\) | ||||
−0.447947 | + | 0.894060i | \(0.647845\pi\) | |||||||
\(930\) | −261.471 | − | 20.2639i | −0.281152 | − | 0.0217892i | ||||
\(931\) | 58.6294i | 0.0629746i | ||||||||
\(932\) | −648.075 | + | 864.064i | −0.695360 | + | 0.927107i | ||||
\(933\) | −1119.43 | + | 1063.69i | −1.19981 | + | 1.14008i | ||||
\(934\) | 487.643 | + | 422.939i | 0.522102 | + | 0.452826i | ||||
\(935\) | −102.651 | + | 831.997i | −0.109787 | + | 0.889836i | ||||
\(936\) | 656.086 | + | 471.994i | 0.700946 | + | 0.504267i | ||||
\(937\) | 1098.42 | − | 1098.42i | 1.17227 | − | 1.17227i | 0.190603 | − | 0.981667i | \(-0.438956\pi\) |
0.981667 | − | 0.190603i | \(-0.0610442\pi\) | |||||||
\(938\) | −741.997 | + | 52.7245i | −0.791041 | + | 0.0562095i | ||||
\(939\) | 1641.57 | + | 41.9105i | 1.74821 | + | 0.0446331i | ||||
\(940\) | −1657.19 | + | 31.6871i | −1.76297 | + | 0.0337097i | ||||
\(941\) | − | 1235.22i | − | 1.31267i | −0.754470 | − | 0.656334i | \(-0.772106\pi\) | ||
0.754470 | − | 0.656334i | \(-0.227894\pi\) | |||||||
\(942\) | −285.301 | + | 12.9653i | −0.302867 | + | 0.0137636i | ||||
\(943\) | 392.597 | − | 392.597i | 0.416327 | − | 0.416327i | ||||
\(944\) | 266.131 | + | 912.587i | 0.281919 | + | 0.966724i | ||||
\(945\) | 825.145 | − | 547.789i | 0.873169 | − | 0.579671i | ||||
\(946\) | 377.108 | + | 327.070i | 0.398634 | + | 0.345740i | ||||
\(947\) | 1168.65 | − | 1168.65i | 1.23405 | − | 1.23405i | 0.271656 | − | 0.962394i | \(-0.412429\pi\) |
0.962394 | − | 0.271656i | \(-0.0875713\pi\) | |||||||
\(948\) | −508.742 | + | 643.404i | −0.536647 | + | 0.678696i | ||||
\(949\) | − | 168.720i | − | 0.177787i | ||||||
\(950\) | −598.486 | − | 105.557i | −0.629986 | − | 0.111113i | ||||
\(951\) | −15.7696 | − | 0.402609i | −0.0165821 | − | 0.000423354i | ||||
\(952\) | −1345.60 | + | 290.768i | −1.41345 | + | 0.305428i | ||||
\(953\) | −756.942 | + | 756.942i | −0.794273 | + | 0.794273i | −0.982186 | − | 0.187913i | \(-0.939828\pi\) |
0.187913 | + | 0.982186i | \(0.439828\pi\) | |||||||
\(954\) | −360.625 | + | 375.262i | −0.378013 | + | 0.393356i | ||||
\(955\) | 761.356 | + | 975.667i | 0.797231 | + | 1.02164i | ||||
\(956\) | −93.2496 | − | 652.841i | −0.0975414 | − | 0.682888i | ||||
\(957\) | −405.744 | + | 385.542i | −0.423975 | + | 0.402865i | ||||
\(958\) | −1392.59 | + | 98.9541i | −1.45364 | + | 0.103292i | ||||
\(959\) | − | 87.7140i | − | 0.0914641i | ||||||
\(960\) | −923.314 | + | 262.853i | −0.961785 | + | 0.273805i | ||||
\(961\) | 884.580 | 0.920479 | ||||||||
\(962\) | 60.1236 | + | 846.124i | 0.0624986 | + | 0.879547i | ||||
\(963\) | 914.909 | + | 1013.44i | 0.950061 | + | 1.05238i | ||||
\(964\) | 80.7268 | − | 11.5307i | 0.0837415 | − | 0.0119613i | ||||
\(965\) | 189.189 | − | 1533.41i | 0.196051 | − | 1.58902i | ||||
\(966\) | 465.300 | − | 509.604i | 0.481677 | − | 0.527540i | ||||
\(967\) | −366.482 | − | 366.482i | −0.378989 | − | 0.378989i | 0.491749 | − | 0.870737i | \(-0.336358\pi\) |
−0.870737 | + | 0.491749i | \(0.836358\pi\) | |||||||
\(968\) | 118.121 | + | 546.637i | 0.122026 | + | 0.564708i | ||||
\(969\) | −855.000 | − | 21.8288i | −0.882353 | − | 0.0225272i | ||||
\(970\) | −59.8695 | + | 1154.31i | −0.0617212 | + | 1.19001i | ||||
\(971\) | −1773.80 | −1.82678 | −0.913390 | − | 0.407086i | \(-0.866545\pi\) | ||||
−0.913390 | + | 0.407086i | \(0.866545\pi\) | |||||||
\(972\) | 677.444 | − | 697.032i | 0.696959 | − | 0.717111i | ||||
\(973\) | −859.150 | − | 859.150i | −0.882991 | − | 0.882991i | ||||
\(974\) | 966.018 | − | 1113.81i | 0.991805 | − | 1.14354i | ||||
\(975\) | 225.406 | − | 811.165i | 0.231186 | − | 0.831964i | ||||
\(976\) | 114.112 | − | 33.2775i | 0.116918 | − | 0.0340958i | ||||
\(977\) | −887.249 | − | 887.249i | −0.908136 | − | 0.908136i | 0.0879854 | − | 0.996122i | \(-0.471957\pi\) |
−0.996122 | + | 0.0879854i | \(0.971957\pi\) | |||||||
\(978\) | −15.3900 | + | 0.699389i | −0.0157362 | + | 0.000715122i | ||||
\(979\) | −293.721 | −0.300021 | ||||||||
\(980\) | 66.9006 | − | 69.5089i | 0.0682659 | − | 0.0709274i | ||||
\(981\) | 205.813 | + | 10.5160i | 0.209799 | + | 0.0107197i | ||||
\(982\) | −60.0491 | − | 845.076i | −0.0611498 | − | 0.860566i | ||||
\(983\) | −297.097 | − | 297.097i | −0.302235 | − | 0.302235i | 0.539653 | − | 0.841888i | \(-0.318556\pi\) |
−0.841888 | + | 0.539653i | \(0.818556\pi\) | |||||||
\(984\) | 478.615 | − | 702.437i | 0.486397 | − | 0.713859i | ||||
\(985\) | −172.753 | + | 1400.19i | −0.175384 | + | 1.42151i | ||||
\(986\) | 802.264 | − | 925.000i | 0.813656 | − | 0.938134i | ||||
\(987\) | 1322.28 | − | 1256.44i | 1.33969 | − | 1.27299i | ||||
\(988\) | 436.595 | + | 327.460i | 0.441898 | + | 0.331438i | ||||
\(989\) | 547.401 | 0.553490 | ||||||||
\(990\) | −405.776 | − | 499.201i | −0.409875 | − | 0.504243i | ||||
\(991\) | 1518.20i | 1.53198i | 0.642850 | + | 0.765992i | \(0.277752\pi\) | ||||
−0.642850 | + | 0.765992i | \(0.722248\pi\) | |||||||
\(992\) | −262.326 | + | 97.1538i | −0.264442 | + | 0.0979373i | ||||
\(993\) | −1184.55 | − | 1246.61i | −1.19290 | − | 1.25540i | ||||
\(994\) | −444.504 | + | 512.507i | −0.447188 | + | 0.515601i | ||||
\(995\) | 856.310 | + | 1097.35i | 0.860613 | + | 1.10286i | ||||
\(996\) | 1291.93 | − | 151.000i | 1.29712 | − | 0.151607i | ||||
\(997\) | −566.238 | + | 566.238i | −0.567942 | + | 0.567942i | −0.931551 | − | 0.363610i | \(-0.881544\pi\) |
0.363610 | + | 0.931551i | \(0.381544\pi\) | |||||||
\(998\) | −59.8993 | − | 842.968i | −0.0600193 | − | 0.844657i | ||||
\(999\) | 1017.16 | + | 78.0421i | 1.01817 | + | 0.0781203i |
(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.23.11 | yes | 40 | |
3.2 | odd | 2 | inner | 60.3.l.a.23.10 | yes | 40 | |
4.3 | odd | 2 | inner | 60.3.l.a.23.20 | yes | 40 | |
5.2 | odd | 4 | inner | 60.3.l.a.47.1 | yes | 40 | |
5.3 | odd | 4 | 300.3.l.g.107.20 | 40 | |||
5.4 | even | 2 | 300.3.l.g.143.10 | 40 | |||
12.11 | even | 2 | inner | 60.3.l.a.23.1 | ✓ | 40 | |
15.2 | even | 4 | inner | 60.3.l.a.47.20 | yes | 40 | |
15.8 | even | 4 | 300.3.l.g.107.1 | 40 | |||
15.14 | odd | 2 | 300.3.l.g.143.11 | 40 | |||
20.3 | even | 4 | 300.3.l.g.107.11 | 40 | |||
20.7 | even | 4 | inner | 60.3.l.a.47.10 | yes | 40 | |
20.19 | odd | 2 | 300.3.l.g.143.1 | 40 | |||
60.23 | odd | 4 | 300.3.l.g.107.10 | 40 | |||
60.47 | odd | 4 | inner | 60.3.l.a.47.11 | yes | 40 | |
60.59 | even | 2 | 300.3.l.g.143.20 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
60.3.l.a.23.1 | ✓ | 40 | 12.11 | even | 2 | inner | |
60.3.l.a.23.10 | yes | 40 | 3.2 | odd | 2 | inner | |
60.3.l.a.23.11 | yes | 40 | 1.1 | even | 1 | trivial | |
60.3.l.a.23.20 | yes | 40 | 4.3 | odd | 2 | inner | |
60.3.l.a.47.1 | yes | 40 | 5.2 | odd | 4 | inner | |
60.3.l.a.47.10 | yes | 40 | 20.7 | even | 4 | inner | |
60.3.l.a.47.11 | yes | 40 | 60.47 | odd | 4 | inner | |
60.3.l.a.47.20 | yes | 40 | 15.2 | even | 4 | inner | |
300.3.l.g.107.1 | 40 | 15.8 | even | 4 | |||
300.3.l.g.107.10 | 40 | 60.23 | odd | 4 | |||
300.3.l.g.107.11 | 40 | 20.3 | even | 4 | |||
300.3.l.g.107.20 | 40 | 5.3 | odd | 4 | |||
300.3.l.g.143.1 | 40 | 20.19 | odd | 2 | |||
300.3.l.g.143.10 | 40 | 5.4 | even | 2 | |||
300.3.l.g.143.11 | 40 | 15.14 | odd | 2 | |||
300.3.l.g.143.20 | 40 | 60.59 | even | 2 |