Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,10,Mod(7,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.7");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(19.5713617742\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} - 3 x^{13} + 93094 x^{12} + 3763497 x^{11} + 6525212431 x^{10} + 244392759522 x^{9} + \cdots + 37\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{10}\cdot 3^{6}\cdot 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Root | \(97.2191 + 168.388i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.7 |
Dual form | 38.10.c.a.11.2 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 8.00000 | + | 13.8564i | 0.353553 | + | 0.612372i | ||||
\(3\) | −85.2191 | − | 147.604i | −0.607423 | − | 1.05209i | −0.991663 | − | 0.128855i | \(-0.958870\pi\) |
0.384240 | − | 0.923233i | \(-0.374463\pi\) | |||||||
\(4\) | −128.000 | + | 221.703i | −0.250000 | + | 0.433013i | ||||
\(5\) | −867.647 | − | 1502.81i | −0.620837 | − | 1.07532i | −0.989330 | − | 0.145691i | \(-0.953459\pi\) |
0.368493 | − | 0.929631i | \(-0.379874\pi\) | |||||||
\(6\) | 1363.51 | − | 2361.66i | 0.429513 | − | 0.743939i | ||||
\(7\) | −2874.94 | −0.452572 | −0.226286 | − | 0.974061i | \(-0.572658\pi\) | ||||
−0.226286 | + | 0.974061i | \(0.572658\pi\) | |||||||
\(8\) | −4096.00 | −0.353553 | ||||||||
\(9\) | −4683.10 | + | 8111.37i | −0.237926 | + | 0.412101i | ||||
\(10\) | 13882.3 | − | 24044.9i | 0.438998 | − | 0.760368i | ||||
\(11\) | 23145.6 | 0.476651 | 0.238326 | − | 0.971185i | \(-0.423401\pi\) | ||||
0.238326 | + | 0.971185i | \(0.423401\pi\) | |||||||
\(12\) | 43632.2 | 0.607423 | ||||||||
\(13\) | −47836.2 | + | 82854.8i | −0.464528 | + | 0.804586i | −0.999180 | − | 0.0404860i | \(-0.987109\pi\) |
0.534652 | + | 0.845072i | \(0.320443\pi\) | |||||||
\(14\) | −22999.5 | − | 39836.3i | −0.160008 | − | 0.277143i | ||||
\(15\) | −147880. | + | 256136.i | −0.754222 | + | 1.30635i | ||||
\(16\) | −32768.0 | − | 56755.8i | −0.125000 | − | 0.216506i | ||||
\(17\) | 84319.5 | + | 146046.i | 0.244855 | + | 0.424100i | 0.962091 | − | 0.272730i | \(-0.0879265\pi\) |
−0.717236 | + | 0.696830i | \(0.754593\pi\) | |||||||
\(18\) | −149859. | −0.336479 | ||||||||
\(19\) | 337837. | + | 456677.i | 0.594725 | + | 0.803929i | ||||
\(20\) | 444235. | 0.620837 | ||||||||
\(21\) | 245000. | + | 424352.i | 0.274903 | + | 0.476146i | ||||
\(22\) | 185165. | + | 320714.i | 0.168522 | + | 0.291888i | ||||
\(23\) | −401923. | + | 696152.i | −0.299480 | + | 0.518715i | −0.976017 | − | 0.217694i | \(-0.930147\pi\) |
0.676537 | + | 0.736409i | \(0.263480\pi\) | |||||||
\(24\) | 349058. | + | 604586.i | 0.214757 | + | 0.371969i | ||||
\(25\) | −529059. | + | 916358.i | −0.270878 | + | 0.469175i | ||||
\(26\) | −1.53076e6 | −0.656942 | ||||||||
\(27\) | −1.75838e6 | −0.636759 | ||||||||
\(28\) | 367992. | − | 637381.i | 0.113143 | − | 0.195969i | ||||
\(29\) | −496243. | + | 859518.i | −0.130288 | + | 0.225665i | −0.923787 | − | 0.382906i | \(-0.874923\pi\) |
0.793500 | + | 0.608571i | \(0.208257\pi\) | |||||||
\(30\) | −4.73217e6 | −1.06663 | ||||||||
\(31\) | −4.45131e6 | −0.865685 | −0.432843 | − | 0.901469i | \(-0.642489\pi\) | ||||
−0.432843 | + | 0.901469i | \(0.642489\pi\) | |||||||
\(32\) | 524288. | − | 908093.i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −1.97245e6 | − | 3.41638e6i | −0.289529 | − | 0.501479i | ||||
\(34\) | −1.34911e6 | + | 2.33673e6i | −0.173138 | + | 0.299884i | ||||
\(35\) | 2.49443e6 | + | 4.32048e6i | 0.280974 | + | 0.486661i | ||||
\(36\) | −1.19887e6 | − | 2.07651e6i | −0.118963 | − | 0.206050i | ||||
\(37\) | −5.83352e6 | −0.511709 | −0.255855 | − | 0.966715i | \(-0.582357\pi\) | ||||
−0.255855 | + | 0.966715i | \(0.582357\pi\) | |||||||
\(38\) | −3.62520e6 | + | 8.33462e6i | −0.282037 | + | 0.648425i | ||||
\(39\) | 1.63063e7 | 1.12866 | ||||||||
\(40\) | 3.55388e6 | + | 6.15550e6i | 0.219499 | + | 0.380184i | ||||
\(41\) | 9.92901e6 | + | 1.71975e7i | 0.548755 | + | 0.950472i | 0.998360 | + | 0.0572442i | \(0.0182314\pi\) |
−0.449605 | + | 0.893227i | \(0.648435\pi\) | |||||||
\(42\) | −3.92000e6 | + | 6.78964e6i | −0.194386 | + | 0.336686i | ||||
\(43\) | 1.61200e7 | + | 2.79207e7i | 0.719048 | + | 1.24543i | 0.961377 | + | 0.275234i | \(0.0887553\pi\) |
−0.242329 | + | 0.970194i | \(0.577911\pi\) | |||||||
\(44\) | −2.96263e6 | + | 5.13143e6i | −0.119163 | + | 0.206396i | ||||
\(45\) | 1.62531e7 | 0.590854 | ||||||||
\(46\) | −1.28616e7 | −0.423529 | ||||||||
\(47\) | 2.21889e7 | − | 3.84322e7i | 0.663276 | − | 1.14883i | −0.316473 | − | 0.948601i | \(-0.602499\pi\) |
0.979750 | − | 0.200227i | \(-0.0641679\pi\) | |||||||
\(48\) | −5.58492e6 | + | 9.67337e6i | −0.151856 | + | 0.263022i | ||||
\(49\) | −3.20883e7 | −0.795179 | ||||||||
\(50\) | −1.69299e7 | −0.383080 | ||||||||
\(51\) | 1.43713e7 | − | 2.48918e7i | 0.297461 | − | 0.515217i | ||||
\(52\) | −1.22461e7 | − | 2.12108e7i | −0.232264 | − | 0.402293i | ||||
\(53\) | 3.48825e7 | − | 6.04183e7i | 0.607248 | − | 1.05179i | −0.384443 | − | 0.923149i | \(-0.625607\pi\) |
0.991692 | − | 0.128637i | \(-0.0410601\pi\) | |||||||
\(54\) | −1.40670e7 | − | 2.43648e7i | −0.225128 | − | 0.389933i | ||||
\(55\) | −2.00822e7 | − | 3.47834e7i | −0.295923 | − | 0.512554i | ||||
\(56\) | 1.17758e7 | 0.160008 | ||||||||
\(57\) | 3.86171e7 | − | 8.87837e7i | 0.484554 | − | 1.11403i | ||||
\(58\) | −1.58798e7 | −0.184255 | ||||||||
\(59\) | 1.29065e7 | + | 2.23547e7i | 0.138667 | + | 0.240179i | 0.926992 | − | 0.375080i | \(-0.122385\pi\) |
−0.788325 | + | 0.615259i | \(0.789051\pi\) | |||||||
\(60\) | −3.78573e7 | − | 6.55708e7i | −0.377111 | − | 0.653176i | ||||
\(61\) | −3.82450e7 | + | 6.62423e7i | −0.353664 | + | 0.612564i | −0.986888 | − | 0.161404i | \(-0.948398\pi\) |
0.633225 | + | 0.773968i | \(0.281731\pi\) | |||||||
\(62\) | −3.56105e7 | − | 6.16791e7i | −0.306066 | − | 0.530122i | ||||
\(63\) | 1.34636e7 | − | 2.33197e7i | 0.107679 | − | 0.186505i | ||||
\(64\) | 1.67772e7 | 0.125000 | ||||||||
\(65\) | 1.66020e8 | 1.15359 | ||||||||
\(66\) | 3.15591e7 | − | 5.46620e7i | 0.204728 | − | 0.354599i | ||||
\(67\) | −1.78924e7 | + | 3.09905e7i | −0.108475 | + | 0.187885i | −0.915153 | − | 0.403107i | \(-0.867930\pi\) |
0.806677 | + | 0.590992i | \(0.201264\pi\) | |||||||
\(68\) | −4.31716e7 | −0.244855 | ||||||||
\(69\) | 1.37006e8 | 0.727645 | ||||||||
\(70\) | −3.99109e7 | + | 6.91277e7i | −0.198678 | + | 0.344121i | ||||
\(71\) | −2.44307e7 | − | 4.23152e7i | −0.114097 | − | 0.197621i | 0.803322 | − | 0.595546i | \(-0.203064\pi\) |
−0.917418 | + | 0.397924i | \(0.869731\pi\) | |||||||
\(72\) | 1.91820e7 | − | 3.32242e7i | 0.0841197 | − | 0.145700i | ||||
\(73\) | 7.43340e7 | + | 1.28750e8i | 0.306362 | + | 0.530635i | 0.977564 | − | 0.210640i | \(-0.0675549\pi\) |
−0.671202 | + | 0.741275i | \(0.734222\pi\) | |||||||
\(74\) | −4.66682e7 | − | 8.08317e7i | −0.180916 | − | 0.313357i | ||||
\(75\) | 1.80344e8 | 0.658151 | ||||||||
\(76\) | −1.44490e8 | + | 1.64447e7i | −0.496793 | + | 0.0565412i | ||||
\(77\) | −6.65421e7 | −0.215719 | ||||||||
\(78\) | 1.30450e8 | + | 2.25946e8i | 0.399042 | + | 0.691161i | ||||
\(79\) | −2.18634e8 | − | 3.78686e8i | −0.631534 | − | 1.09385i | −0.987238 | − | 0.159250i | \(-0.949092\pi\) |
0.355705 | − | 0.934598i | \(-0.384241\pi\) | |||||||
\(80\) | −5.68621e7 | + | 9.84880e7i | −0.155209 | + | 0.268831i | ||||
\(81\) | 2.42025e8 | + | 4.19199e8i | 0.624708 | + | 1.08203i | ||||
\(82\) | −1.58864e8 | + | 2.75161e8i | −0.388028 | + | 0.672085i | ||||
\(83\) | −4.70722e8 | −1.08871 | −0.544356 | − | 0.838854i | \(-0.683226\pi\) | ||||
−0.544356 | + | 0.838854i | \(0.683226\pi\) | |||||||
\(84\) | −1.25440e8 | −0.274903 | ||||||||
\(85\) | 1.46319e8 | − | 2.53432e8i | 0.304030 | − | 0.526595i | ||||
\(86\) | −2.57921e8 | + | 4.46732e8i | −0.508444 | + | 0.880651i | ||||
\(87\) | 1.69158e8 | 0.316559 | ||||||||
\(88\) | −9.48043e7 | −0.168522 | ||||||||
\(89\) | −3.94729e8 | + | 6.83691e8i | −0.666875 | + | 1.15506i | 0.311899 | + | 0.950115i | \(0.399035\pi\) |
−0.978773 | + | 0.204946i | \(0.934298\pi\) | |||||||
\(90\) | 1.30025e8 | + | 2.25210e8i | 0.208899 | + | 0.361823i | ||||
\(91\) | 1.37526e8 | − | 2.38203e8i | 0.210232 | − | 0.364133i | ||||
\(92\) | −1.02892e8 | − | 1.78215e8i | −0.149740 | − | 0.259357i | ||||
\(93\) | 3.79337e8 | + | 6.57030e8i | 0.525838 | + | 0.910777i | ||||
\(94\) | 7.10043e8 | 0.938014 | ||||||||
\(95\) | 3.93174e8 | − | 9.03939e8i | 0.495255 | − | 1.13863i | ||||
\(96\) | −1.78717e8 | −0.214757 | ||||||||
\(97\) | 1.11328e8 | + | 1.92825e8i | 0.127682 | + | 0.221152i | 0.922778 | − | 0.385332i | \(-0.125913\pi\) |
−0.795096 | + | 0.606484i | \(0.792580\pi\) | |||||||
\(98\) | −2.56707e8 | − | 4.44629e8i | −0.281138 | − | 0.486945i | ||||
\(99\) | −1.08393e8 | + | 1.87742e8i | −0.113408 | + | 0.196428i | ||||
\(100\) | −1.35439e8 | − | 2.34588e8i | −0.135439 | − | 0.234588i | ||||
\(101\) | −9.82600e8 | + | 1.70191e9i | −0.939573 | + | 1.62739i | −0.173305 | + | 0.984868i | \(0.555445\pi\) |
−0.766268 | + | 0.642521i | \(0.777889\pi\) | |||||||
\(102\) | 4.59881e8 | 0.420673 | ||||||||
\(103\) | −2.01936e9 | −1.76785 | −0.883927 | − | 0.467625i | \(-0.845110\pi\) | ||||
−0.883927 | + | 0.467625i | \(0.845110\pi\) | |||||||
\(104\) | 1.95937e8 | − | 3.39373e8i | 0.164235 | − | 0.284464i | ||||
\(105\) | 4.25147e8 | − | 7.36376e8i | 0.341340 | − | 0.591218i | ||||
\(106\) | 1.11624e9 | 0.858779 | ||||||||
\(107\) | −2.17340e9 | −1.60292 | −0.801462 | − | 0.598046i | \(-0.795944\pi\) | ||||
−0.801462 | + | 0.598046i | \(0.795944\pi\) | |||||||
\(108\) | 2.25072e8 | − | 3.89836e8i | 0.159190 | − | 0.275725i | ||||
\(109\) | 1.93385e8 | + | 3.34953e8i | 0.131221 | + | 0.227282i | 0.924148 | − | 0.382036i | \(-0.124777\pi\) |
−0.792926 | + | 0.609317i | \(0.791444\pi\) | |||||||
\(110\) | 3.21315e8 | − | 5.56534e8i | 0.209249 | − | 0.362430i | ||||
\(111\) | 4.97128e8 | + | 8.61051e8i | 0.310824 | + | 0.538363i | ||||
\(112\) | 9.42060e7 | + | 1.63170e8i | 0.0565715 | + | 0.0979847i | ||||
\(113\) | 4.05886e8 | 0.234181 | 0.117090 | − | 0.993121i | \(-0.462643\pi\) | ||||
0.117090 | + | 0.993121i | \(0.462643\pi\) | |||||||
\(114\) | 1.53916e9 | − | 1.75176e8i | 0.853516 | − | 0.0971408i | ||||
\(115\) | 1.39491e9 | 0.743714 | ||||||||
\(116\) | −1.27038e8 | − | 2.20037e8i | −0.0651438 | − | 0.112832i | ||||
\(117\) | −4.48044e8 | − | 7.76035e8i | −0.221047 | − | 0.382865i | ||||
\(118\) | −2.06504e8 | + | 3.57676e8i | −0.0980527 | + | 0.169832i | ||||
\(119\) | −2.42414e8 | − | 4.19873e8i | −0.110814 | − | 0.191936i | ||||
\(120\) | 6.05717e8 | − | 1.04913e9i | 0.266658 | − | 0.461865i | ||||
\(121\) | −1.82223e9 | −0.772804 | ||||||||
\(122\) | −1.22384e9 | −0.500156 | ||||||||
\(123\) | 1.69228e9 | − | 2.93112e9i | 0.666653 | − | 1.15468i | ||||
\(124\) | 5.69767e8 | − | 9.86866e8i | 0.216421 | − | 0.374853i | ||||
\(125\) | −1.55310e9 | −0.568989 | ||||||||
\(126\) | 4.30837e8 | 0.152281 | ||||||||
\(127\) | 8.95930e8 | − | 1.55180e9i | 0.305603 | − | 0.529319i | −0.671793 | − | 0.740739i | \(-0.734475\pi\) |
0.977395 | + | 0.211420i | \(0.0678087\pi\) | |||||||
\(128\) | 1.34218e8 | + | 2.32472e8i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 2.74747e9 | − | 4.75876e9i | 0.873533 | − | 1.51300i | ||||
\(130\) | 1.32816e9 | + | 2.30044e9i | 0.407854 | + | 0.706424i | ||||
\(131\) | 4.44908e7 | + | 7.70603e7i | 0.0131992 | + | 0.0228618i | 0.872550 | − | 0.488526i | \(-0.162465\pi\) |
−0.859350 | + | 0.511387i | \(0.829132\pi\) | |||||||
\(132\) | 1.00989e9 | 0.289529 | ||||||||
\(133\) | −9.71262e8 | − | 1.31292e9i | −0.269156 | − | 0.363836i | ||||
\(134\) | −5.72556e8 | −0.153407 | ||||||||
\(135\) | 1.52565e9 | + | 2.64250e9i | 0.395324 | + | 0.684721i | ||||
\(136\) | −3.45373e8 | − | 5.98203e8i | −0.0865691 | − | 0.149942i | ||||
\(137\) | −4.93281e8 | + | 8.54387e8i | −0.119633 | + | 0.207211i | −0.919622 | − | 0.392804i | \(-0.871505\pi\) |
0.799989 | + | 0.600014i | \(0.204839\pi\) | |||||||
\(138\) | 1.09605e9 | + | 1.89841e9i | 0.257261 | + | 0.445590i | ||||
\(139\) | 1.04124e9 | − | 1.80348e9i | 0.236584 | − | 0.409775i | −0.723148 | − | 0.690693i | \(-0.757306\pi\) |
0.959732 | + | 0.280918i | \(0.0906388\pi\) | |||||||
\(140\) | −1.27715e9 | −0.280974 | ||||||||
\(141\) | −7.56366e9 | −1.61156 | ||||||||
\(142\) | 3.90891e8 | − | 6.77044e8i | 0.0806786 | − | 0.139739i | ||||
\(143\) | −1.10720e9 | + | 1.91772e9i | −0.221418 | + | 0.383507i | ||||
\(144\) | 6.13824e8 | 0.118963 | ||||||||
\(145\) | 1.72225e9 | 0.323550 | ||||||||
\(146\) | −1.18934e9 | + | 2.06001e9i | −0.216631 | + | 0.375215i | ||||
\(147\) | 2.73454e9 | + | 4.73636e9i | 0.483010 | + | 0.836598i | ||||
\(148\) | 7.46691e8 | − | 1.29331e9i | 0.127927 | − | 0.221577i | ||||
\(149\) | 2.28869e9 | + | 3.96412e9i | 0.380407 | + | 0.658884i | 0.991120 | − | 0.132968i | \(-0.0424506\pi\) |
−0.610713 | + | 0.791852i | \(0.709117\pi\) | |||||||
\(150\) | 1.44275e9 | + | 2.49892e9i | 0.232692 | + | 0.403034i | ||||
\(151\) | 8.63462e9 | 1.35160 | 0.675798 | − | 0.737087i | \(-0.263799\pi\) | ||||
0.675798 | + | 0.737087i | \(0.263799\pi\) | |||||||
\(152\) | −1.38378e9 | − | 1.87055e9i | −0.210267 | − | 0.284232i | ||||
\(153\) | −1.57951e9 | −0.233029 | ||||||||
\(154\) | −5.32337e8 | − | 9.22035e8i | −0.0762682 | − | 0.132100i | ||||
\(155\) | 3.86216e9 | + | 6.68946e9i | 0.537450 | + | 0.930891i | ||||
\(156\) | −2.08720e9 | + | 3.61514e9i | −0.282165 | + | 0.488725i | ||||
\(157\) | −5.31782e9 | − | 9.21074e9i | −0.698531 | − | 1.20989i | −0.968976 | − | 0.247155i | \(-0.920504\pi\) |
0.270445 | − | 0.962735i | \(-0.412829\pi\) | |||||||
\(158\) | 3.49815e9 | − | 6.05897e9i | 0.446562 | − | 0.773468i | ||||
\(159\) | −1.18906e10 | −1.47543 | ||||||||
\(160\) | −1.81959e9 | −0.219499 | ||||||||
\(161\) | 1.15551e9 | − | 2.00140e9i | 0.135536 | − | 0.234756i | ||||
\(162\) | −3.87240e9 | + | 6.70719e9i | −0.441736 | + | 0.765108i | ||||
\(163\) | −2.99074e9 | −0.331844 | −0.165922 | − | 0.986139i | \(-0.553060\pi\) | ||||
−0.165922 | + | 0.986139i | \(0.553060\pi\) | |||||||
\(164\) | −5.08365e9 | −0.548755 | ||||||||
\(165\) | −3.42277e9 | + | 5.92842e9i | −0.359501 | + | 0.622674i | ||||
\(166\) | −3.76578e9 | − | 6.52251e9i | −0.384918 | − | 0.666697i | ||||
\(167\) | 1.96674e9 | − | 3.40650e9i | 0.195670 | − | 0.338910i | −0.751450 | − | 0.659790i | \(-0.770645\pi\) |
0.947120 | + | 0.320880i | \(0.103979\pi\) | |||||||
\(168\) | −1.00352e9 | − | 1.73815e9i | −0.0971928 | − | 0.168343i | ||||
\(169\) | 7.25637e8 | + | 1.25684e9i | 0.0684272 | + | 0.118519i | ||||
\(170\) | 4.68221e9 | 0.429963 | ||||||||
\(171\) | −5.28640e9 | + | 6.01659e8i | −0.472800 | + | 0.0538106i | ||||
\(172\) | −8.25346e9 | −0.719048 | ||||||||
\(173\) | 3.69649e9 | + | 6.40251e9i | 0.313749 | + | 0.543429i | 0.979171 | − | 0.203039i | \(-0.0650817\pi\) |
−0.665422 | + | 0.746467i | \(0.731748\pi\) | |||||||
\(174\) | 1.35326e9 | + | 2.34392e9i | 0.111921 | + | 0.193852i | ||||
\(175\) | 1.52101e9 | − | 2.63447e9i | 0.122592 | − | 0.212336i | ||||
\(176\) | −7.58434e8 | − | 1.31365e9i | −0.0595814 | − | 0.103198i | ||||
\(177\) | 2.19976e9 | − | 3.81010e9i | 0.168460 | − | 0.291781i | ||||
\(178\) | −1.26313e10 | −0.943103 | ||||||||
\(179\) | 1.14763e10 | 0.835529 | 0.417765 | − | 0.908555i | \(-0.362814\pi\) | ||||
0.417765 | + | 0.908555i | \(0.362814\pi\) | |||||||
\(180\) | −2.08040e9 | + | 3.60336e9i | −0.147714 | + | 0.255847i | ||||
\(181\) | −1.04510e10 | + | 1.81016e10i | −0.723775 | + | 1.25362i | 0.235701 | + | 0.971826i | \(0.424261\pi\) |
−0.959476 | + | 0.281790i | \(0.909072\pi\) | |||||||
\(182\) | 4.40084e9 | 0.297314 | ||||||||
\(183\) | 1.30368e10 | 0.859295 | ||||||||
\(184\) | 1.64628e9 | − | 2.85144e9i | 0.105882 | − | 0.183393i | ||||
\(185\) | 5.06144e9 | + | 8.76667e9i | 0.317688 | + | 0.550252i | ||||
\(186\) | −6.06939e9 | + | 1.05125e10i | −0.371823 | + | 0.644017i | ||||
\(187\) | 1.95162e9 | + | 3.38031e9i | 0.116710 | + | 0.202148i | ||||
\(188\) | 5.68035e9 | + | 9.83865e9i | 0.331638 | + | 0.574414i | ||||
\(189\) | 5.05523e9 | 0.288179 | ||||||||
\(190\) | 1.56707e10 | − | 1.78353e9i | 0.872365 | − | 0.0992860i | ||||
\(191\) | 2.71500e10 | 1.47611 | 0.738057 | − | 0.674738i | \(-0.235743\pi\) | ||||
0.738057 | + | 0.674738i | \(0.235743\pi\) | |||||||
\(192\) | −1.42974e9 | − | 2.47638e9i | −0.0759279 | − | 0.131511i | ||||
\(193\) | 1.71762e10 | + | 2.97500e10i | 0.891083 | + | 1.54340i | 0.838579 | + | 0.544780i | \(0.183387\pi\) |
0.0525039 | + | 0.998621i | \(0.483280\pi\) | |||||||
\(194\) | −1.78124e9 | + | 3.08520e9i | −0.0902850 | + | 0.156378i | ||||
\(195\) | −1.41481e10 | − | 2.45052e10i | −0.700715 | − | 1.21367i | ||||
\(196\) | 4.10731e9 | − | 7.11406e9i | 0.198795 | − | 0.344322i | ||||
\(197\) | −3.81379e10 | −1.80409 | −0.902045 | − | 0.431641i | \(-0.857935\pi\) | ||||
−0.902045 | + | 0.431641i | \(0.857935\pi\) | |||||||
\(198\) | −3.46858e9 | −0.160383 | ||||||||
\(199\) | 1.12380e10 | − | 1.94647e10i | 0.507983 | − | 0.879853i | −0.491974 | − | 0.870610i | \(-0.663725\pi\) |
0.999957 | − | 0.00924287i | \(-0.00294214\pi\) | |||||||
\(200\) | 2.16703e9 | − | 3.75340e9i | 0.0957700 | − | 0.165878i | ||||
\(201\) | 6.09909e9 | 0.263562 | ||||||||
\(202\) | −3.14432e10 | −1.32876 | ||||||||
\(203\) | 1.42667e9 | − | 2.47106e9i | 0.0589645 | − | 0.102130i | ||||
\(204\) | 3.67905e9 | + | 6.37230e9i | 0.148730 | + | 0.257609i | ||||
\(205\) | 1.72297e10 | − | 2.98428e10i | 0.681375 | − | 1.18018i | ||||
\(206\) | −1.61549e10 | − | 2.79811e10i | −0.625031 | − | 1.08259i | ||||
\(207\) | −3.76450e9 | − | 6.52030e9i | −0.142508 | − | 0.246832i | ||||
\(208\) | 6.26999e9 | 0.232264 | ||||||||
\(209\) | 7.81943e9 | + | 1.05700e10i | 0.283476 | + | 0.383194i | ||||
\(210\) | 1.36047e10 | 0.482728 | ||||||||
\(211\) | −1.38183e10 | − | 2.39340e10i | −0.479937 | − | 0.831276i | 0.519798 | − | 0.854289i | \(-0.326007\pi\) |
−0.999735 | + | 0.0230136i | \(0.992674\pi\) | |||||||
\(212\) | 8.92992e9 | + | 1.54671e10i | 0.303624 | + | 0.525893i | ||||
\(213\) | −4.16393e9 | + | 7.21214e9i | −0.138610 | + | 0.240080i | ||||
\(214\) | −1.73872e10 | − | 3.01155e10i | −0.566719 | − | 0.981586i | ||||
\(215\) | 2.79730e10 | − | 4.84507e10i | 0.892824 | − | 1.54642i | ||||
\(216\) | 7.20231e9 | 0.225128 | ||||||||
\(217\) | 1.27972e10 | 0.391785 | ||||||||
\(218\) | −3.09416e9 | + | 5.35925e9i | −0.0927874 | + | 0.160712i | ||||
\(219\) | 1.26694e10 | − | 2.19440e10i | 0.372183 | − | 0.644640i | ||||
\(220\) | 1.02821e10 | 0.295923 | ||||||||
\(221\) | −1.61341e10 | −0.454967 | ||||||||
\(222\) | −7.95404e9 | + | 1.37768e10i | −0.219786 | + | 0.380680i | ||||
\(223\) | −1.94384e10 | − | 3.36683e10i | −0.526367 | − | 0.911694i | −0.999528 | − | 0.0307181i | \(-0.990221\pi\) |
0.473161 | − | 0.880976i | \(-0.343113\pi\) | |||||||
\(224\) | −1.50730e9 | + | 2.61071e9i | −0.0400021 | + | 0.0692857i | ||||
\(225\) | −4.95528e9 | − | 8.58280e9i | −0.128898 | − | 0.223258i | ||||
\(226\) | 3.24709e9 | + | 5.62412e9i | 0.0827954 | + | 0.143406i | ||||
\(227\) | −5.89117e10 | −1.47260 | −0.736300 | − | 0.676655i | \(-0.763429\pi\) | ||||
−0.736300 | + | 0.676655i | \(0.763429\pi\) | |||||||
\(228\) | 1.47406e10 | + | 1.99258e10i | 0.361250 | + | 0.488325i | ||||
\(229\) | 3.04016e10 | 0.730528 | 0.365264 | − | 0.930904i | \(-0.380979\pi\) | ||||
0.365264 | + | 0.930904i | \(0.380979\pi\) | |||||||
\(230\) | 1.11593e10 | + | 1.93284e10i | 0.262943 | + | 0.455430i | ||||
\(231\) | 5.67066e9 | + | 9.82188e9i | 0.131033 | + | 0.226955i | ||||
\(232\) | 2.03261e9 | − | 3.52058e9i | 0.0460636 | − | 0.0797846i | ||||
\(233\) | 1.73683e9 | + | 3.00829e9i | 0.0386062 | + | 0.0668679i | 0.884683 | − | 0.466193i | \(-0.154375\pi\) |
−0.846077 | + | 0.533061i | \(0.821042\pi\) | |||||||
\(234\) | 7.16871e9 | − | 1.24166e10i | 0.156304 | − | 0.270726i | ||||
\(235\) | −7.70083e10 | −1.64715 | ||||||||
\(236\) | −6.60813e9 | −0.138667 | ||||||||
\(237\) | −3.72637e10 | + | 6.45426e10i | −0.767217 | + | 1.32886i | ||||
\(238\) | 3.87862e9 | − | 6.71796e9i | 0.0783575 | − | 0.135719i | ||||
\(239\) | 7.00535e10 | 1.38880 | 0.694400 | − | 0.719590i | \(-0.255670\pi\) | ||||
0.694400 | + | 0.719590i | \(0.255670\pi\) | |||||||
\(240\) | 1.93830e10 | 0.377111 | ||||||||
\(241\) | −1.51487e10 | + | 2.62384e10i | −0.289267 | + | 0.501026i | −0.973635 | − | 0.228111i | \(-0.926745\pi\) |
0.684368 | + | 0.729137i | \(0.260078\pi\) | |||||||
\(242\) | −1.45778e10 | − | 2.52496e10i | −0.273227 | − | 0.473244i | ||||
\(243\) | 2.39452e10 | − | 4.14744e10i | 0.440546 | − | 0.763048i | ||||
\(244\) | −9.79072e9 | − | 1.69580e10i | −0.176832 | − | 0.306282i | ||||
\(245\) | 2.78413e10 | + | 4.82226e10i | 0.493677 | + | 0.855073i | ||||
\(246\) | 5.41531e10 | 0.942790 | ||||||||
\(247\) | −5.39987e10 | + | 6.14573e9i | −0.923097 | + | 0.105060i | ||||
\(248\) | 1.82326e10 | 0.306066 | ||||||||
\(249\) | 4.01145e10 | + | 6.94804e10i | 0.661309 | + | 1.14542i | ||||
\(250\) | −1.24248e10 | − | 2.15204e10i | −0.201168 | − | 0.348433i | ||||
\(251\) | −2.73020e10 | + | 4.72885e10i | −0.434174 | + | 0.752011i | −0.997228 | − | 0.0744093i | \(-0.976293\pi\) |
0.563054 | + | 0.826420i | \(0.309626\pi\) | |||||||
\(252\) | 3.44669e9 | + | 5.96985e9i | 0.0538394 | + | 0.0932526i | ||||
\(253\) | −9.30275e9 | + | 1.61128e10i | −0.142748 | + | 0.247246i | ||||
\(254\) | 2.86698e10 | 0.432188 | ||||||||
\(255\) | −4.98768e10 | −0.738699 | ||||||||
\(256\) | −2.14748e9 | + | 3.71955e9i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −5.94247e10 | + | 1.02927e11i | −0.849704 | + | 1.47173i | 0.0317678 | + | 0.999495i | \(0.489886\pi\) |
−0.881472 | + | 0.472236i | \(0.843447\pi\) | |||||||
\(258\) | 8.79191e10 | 1.23536 | ||||||||
\(259\) | 1.67710e10 | 0.231585 | ||||||||
\(260\) | −2.12505e10 | + | 3.68070e10i | −0.288396 | + | 0.499517i | ||||
\(261\) | −4.64791e9 | − | 8.05042e9i | −0.0619977 | − | 0.107383i | ||||
\(262\) | −7.11852e8 | + | 1.23296e9i | −0.00933328 | + | 0.0161657i | ||||
\(263\) | 6.34545e10 | + | 1.09906e11i | 0.817827 | + | 1.41652i | 0.907280 | + | 0.420527i | \(0.138155\pi\) |
−0.0894529 | + | 0.995991i | \(0.528512\pi\) | |||||||
\(264\) | 8.07914e9 | + | 1.39935e10i | 0.102364 | + | 0.177300i | ||||
\(265\) | −1.21063e11 | −1.50801 | ||||||||
\(266\) | 1.04222e10 | − | 2.39615e10i | 0.127642 | − | 0.293459i | ||||
\(267\) | 1.34554e11 | 1.62030 | ||||||||
\(268\) | −4.58045e9 | − | 7.93357e9i | −0.0542377 | − | 0.0939425i | ||||
\(269\) | −1.88151e10 | − | 3.25887e10i | −0.219090 | − | 0.379474i | 0.735440 | − | 0.677590i | \(-0.236975\pi\) |
−0.954530 | + | 0.298115i | \(0.903642\pi\) | |||||||
\(270\) | −2.44104e10 | + | 4.22800e10i | −0.279536 | + | 0.484171i | ||||
\(271\) | −2.41203e10 | − | 4.17776e10i | −0.271657 | − | 0.470523i | 0.697629 | − | 0.716459i | \(-0.254238\pi\) |
−0.969286 | + | 0.245935i | \(0.920905\pi\) | |||||||
\(272\) | 5.52597e9 | − | 9.57125e9i | 0.0612136 | − | 0.106025i | ||||
\(273\) | −4.68795e10 | −0.510800 | ||||||||
\(274\) | −1.57850e10 | −0.169187 | ||||||||
\(275\) | −1.22454e10 | + | 2.12096e10i | −0.129115 | + | 0.223633i | ||||
\(276\) | −1.75368e10 | + | 3.03746e10i | −0.181911 | + | 0.315080i | ||||
\(277\) | −9.23709e10 | −0.942706 | −0.471353 | − | 0.881945i | \(-0.656234\pi\) | ||||
−0.471353 | + | 0.881945i | \(0.656234\pi\) | |||||||
\(278\) | 3.33198e10 | 0.334580 | ||||||||
\(279\) | 2.08459e10 | − | 3.61062e10i | 0.205969 | − | 0.356749i | ||||
\(280\) | −1.02172e10 | − | 1.76967e10i | −0.0993392 | − | 0.172061i | ||||
\(281\) | 3.86685e10 | − | 6.69757e10i | 0.369980 | − | 0.640825i | −0.619582 | − | 0.784932i | \(-0.712698\pi\) |
0.989562 | + | 0.144108i | \(0.0460311\pi\) | |||||||
\(282\) | −6.05093e10 | − | 1.04805e11i | −0.569772 | − | 0.986874i | ||||
\(283\) | −6.20030e10 | − | 1.07392e11i | −0.574611 | − | 0.995255i | −0.996084 | − | 0.0884141i | \(-0.971820\pi\) |
0.421473 | − | 0.906841i | \(-0.361513\pi\) | |||||||
\(284\) | 1.25085e10 | 0.114097 | ||||||||
\(285\) | −1.66931e11 | + | 1.89988e10i | −1.49877 | + | 0.170579i | ||||
\(286\) | −3.54303e10 | −0.313132 | ||||||||
\(287\) | −2.85453e10 | − | 4.94419e10i | −0.248351 | − | 0.430157i | ||||
\(288\) | 4.91059e9 | + | 8.50539e9i | 0.0420598 | + | 0.0728498i | ||||
\(289\) | 4.50744e10 | − | 7.80711e10i | 0.380093 | − | 0.658340i | ||||
\(290\) | 1.37780e10 | + | 2.38643e10i | 0.114392 | + | 0.198133i | ||||
\(291\) | 1.89745e10 | − | 3.28648e10i | 0.155114 | − | 0.268666i | ||||
\(292\) | −3.80590e10 | −0.306362 | ||||||||
\(293\) | 1.27795e11 | 1.01300 | 0.506502 | − | 0.862239i | \(-0.330938\pi\) | ||||
0.506502 | + | 0.862239i | \(0.330938\pi\) | |||||||
\(294\) | −4.37526e10 | + | 7.57818e10i | −0.341540 | + | 0.591564i | ||||
\(295\) | 2.23966e10 | − | 3.87920e10i | 0.172180 | − | 0.298224i | ||||
\(296\) | 2.38941e10 | 0.180916 | ||||||||
\(297\) | −4.06986e10 | −0.303512 | ||||||||
\(298\) | −3.66190e10 | + | 6.34260e10i | −0.268988 | + | 0.465901i | ||||
\(299\) | −3.84530e10 | − | 6.66026e10i | −0.278234 | − | 0.481915i | ||||
\(300\) | −2.30840e10 | + | 3.99827e10i | −0.164538 | + | 0.284988i | ||||
\(301\) | −4.63441e10 | − | 8.02704e10i | −0.325421 | − | 0.563646i | ||||
\(302\) | 6.90769e10 | + | 1.19645e11i | 0.477861 | + | 0.827680i | ||||
\(303\) | 3.34945e11 | 2.28288 | ||||||||
\(304\) | 1.48488e10 | − | 3.41386e10i | 0.0997151 | − | 0.229253i | ||||
\(305\) | 1.32733e11 | 0.878271 | ||||||||
\(306\) | −1.26361e10 | − | 2.18863e10i | −0.0823883 | − | 0.142701i | ||||
\(307\) | −8.77812e10 | − | 1.52041e11i | −0.564000 | − | 0.976876i | −0.997142 | − | 0.0755503i | \(-0.975929\pi\) |
0.433142 | − | 0.901325i | \(-0.357405\pi\) | |||||||
\(308\) | 8.51739e9 | − | 1.47526e10i | 0.0539298 | − | 0.0934091i | ||||
\(309\) | 1.72088e11 | + | 2.98066e11i | 1.07384 | + | 1.85994i | ||||
\(310\) | −6.17946e10 | + | 1.07031e11i | −0.380034 | + | 0.658239i | ||||
\(311\) | 1.54711e11 | 0.937775 | 0.468888 | − | 0.883258i | \(-0.344655\pi\) | ||||
0.468888 | + | 0.883258i | \(0.344655\pi\) | |||||||
\(312\) | −6.67904e10 | −0.399042 | ||||||||
\(313\) | 1.47088e11 | − | 2.54764e11i | 0.866220 | − | 1.50034i | 0.000389305 | − | 1.00000i | \(-0.499876\pi\) |
0.865831 | − | 0.500337i | \(-0.166791\pi\) | |||||||
\(314\) | 8.50852e10 | − | 1.47372e11i | 0.493936 | − | 0.855522i | ||||
\(315\) | −4.67268e10 | −0.267404 | ||||||||
\(316\) | 1.11941e11 | 0.631534 | ||||||||
\(317\) | −1.61575e10 | + | 2.79856e10i | −0.0898685 | + | 0.155657i | −0.907455 | − | 0.420148i | \(-0.861978\pi\) |
0.817587 | + | 0.575805i | \(0.195311\pi\) | |||||||
\(318\) | −9.51251e10 | − | 1.64761e11i | −0.521642 | − | 0.903511i | ||||
\(319\) | −1.14858e10 | + | 1.98940e10i | −0.0621018 | + | 0.107563i | ||||
\(320\) | −1.45567e10 | − | 2.52129e10i | −0.0776047 | − | 0.134415i | ||||
\(321\) | 1.85215e11 | + | 3.20802e11i | 0.973653 | + | 1.68642i | ||||
\(322\) | 3.69762e10 | 0.191677 | ||||||||
\(323\) | −3.82094e10 | + | 8.78465e10i | −0.195326 | + | 0.449069i | ||||
\(324\) | −1.23917e11 | −0.624708 | ||||||||
\(325\) | −5.06164e10 | − | 8.76702e10i | −0.251661 | − | 0.435890i | ||||
\(326\) | −2.39259e10 | − | 4.14409e10i | −0.117325 | − | 0.203212i | ||||
\(327\) | 3.29602e10 | − | 5.70888e10i | 0.159414 | − | 0.276112i | ||||
\(328\) | −4.06692e10 | − | 7.04412e10i | −0.194014 | − | 0.336042i | ||||
\(329\) | −6.37916e10 | + | 1.10490e11i | −0.300180 | + | 0.519928i | ||||
\(330\) | −1.09529e11 | −0.508411 | ||||||||
\(331\) | −3.00200e11 | −1.37463 | −0.687314 | − | 0.726361i | \(-0.741210\pi\) | ||||
−0.687314 | + | 0.726361i | \(0.741210\pi\) | |||||||
\(332\) | 6.02524e10 | − | 1.04360e11i | 0.272178 | − | 0.471426i | ||||
\(333\) | 2.73190e10 | − | 4.73179e10i | 0.121749 | − | 0.210876i | ||||
\(334\) | 6.29358e10 | 0.276719 | ||||||||
\(335\) | 6.20971e10 | 0.269383 | ||||||||
\(336\) | 1.60563e10 | − | 2.78104e10i | 0.0687257 | − | 0.119036i | ||||
\(337\) | −1.39551e11 | − | 2.41710e11i | −0.589385 | − | 1.02085i | −0.994313 | − | 0.106497i | \(-0.966037\pi\) |
0.404928 | − | 0.914349i | \(-0.367297\pi\) | |||||||
\(338\) | −1.16102e10 | + | 2.01094e10i | −0.0483854 | + | 0.0838059i | ||||
\(339\) | −3.45893e10 | − | 5.99104e10i | −0.142247 | − | 0.246379i | ||||
\(340\) | 3.74577e10 | + | 6.48787e10i | 0.152015 | + | 0.263297i | ||||
\(341\) | −1.03028e11 | −0.412630 | ||||||||
\(342\) | −5.06281e10 | − | 6.84373e10i | −0.200112 | − | 0.270505i | ||||
\(343\) | 2.08266e11 | 0.812448 | ||||||||
\(344\) | −6.60277e10 | − | 1.14363e11i | −0.254222 | − | 0.440325i | ||||
\(345\) | −1.18873e11 | − | 2.05894e11i | −0.451749 | − | 0.782453i | ||||
\(346\) | −5.91438e10 | + | 1.02440e11i | −0.221854 | + | 0.384262i | ||||
\(347\) | 1.61391e11 | + | 2.79538e11i | 0.597583 | + | 1.03504i | 0.993177 | + | 0.116618i | \(0.0372053\pi\) |
−0.395594 | + | 0.918425i | \(0.629461\pi\) | |||||||
\(348\) | −2.16522e10 | + | 3.75027e10i | −0.0791398 | + | 0.137074i | ||||
\(349\) | 1.94298e11 | 0.701059 | 0.350530 | − | 0.936552i | \(-0.386002\pi\) | ||||
0.350530 | + | 0.936552i | \(0.386002\pi\) | |||||||
\(350\) | 4.86724e10 | 0.173371 | ||||||||
\(351\) | 8.41141e10 | − | 1.45690e11i | 0.295792 | − | 0.512327i | ||||
\(352\) | 1.21349e10 | − | 2.10183e10i | 0.0421304 | − | 0.0729720i | ||||
\(353\) | −3.36526e11 | −1.15354 | −0.576769 | − | 0.816907i | \(-0.695687\pi\) | ||||
−0.576769 | + | 0.816907i | \(0.695687\pi\) | |||||||
\(354\) | 7.03924e10 | 0.238238 | ||||||||
\(355\) | −4.23945e10 | + | 7.34294e10i | −0.141671 | + | 0.245382i | ||||
\(356\) | −1.01051e11 | − | 1.75025e11i | −0.333437 | − | 0.577531i | ||||
\(357\) | −4.13166e10 | + | 7.15624e10i | −0.134622 | + | 0.233173i | ||||
\(358\) | 9.18100e10 | + | 1.59020e11i | 0.295404 | + | 0.511655i | ||||
\(359\) | 2.20116e11 | + | 3.81252e11i | 0.699401 | + | 1.21140i | 0.968674 | + | 0.248334i | \(0.0798832\pi\) |
−0.269273 | + | 0.963064i | \(0.586784\pi\) | |||||||
\(360\) | −6.65728e10 | −0.208899 | ||||||||
\(361\) | −9.44198e10 | + | 3.08565e11i | −0.292604 | + | 0.956234i | ||||
\(362\) | −3.34432e11 | −1.02357 | ||||||||
\(363\) | 1.55289e11 | + | 2.68968e11i | 0.469419 | + | 0.813057i | ||||
\(364\) | 3.52067e10 | + | 6.09799e10i | 0.105116 | + | 0.182067i | ||||
\(365\) | 1.28991e11 | − | 2.23420e11i | 0.380402 | − | 0.658876i | ||||
\(366\) | 1.04295e11 | + | 1.80644e11i | 0.303807 | + | 0.526208i | ||||
\(367\) | 1.54039e11 | − | 2.66804e11i | 0.443235 | − | 0.767706i | −0.554692 | − | 0.832056i | \(-0.687164\pi\) |
0.997927 | + | 0.0643499i | \(0.0204974\pi\) | |||||||
\(368\) | 5.26809e10 | 0.149740 | ||||||||
\(369\) | −1.85994e11 | −0.522253 | ||||||||
\(370\) | −8.09830e10 | + | 1.40267e11i | −0.224639 | + | 0.389087i | ||||
\(371\) | −1.00285e11 | + | 1.73699e11i | −0.274824 | + | 0.476008i | ||||
\(372\) | −1.94220e11 | −0.525838 | ||||||||
\(373\) | 6.47469e11 | 1.73192 | 0.865962 | − | 0.500109i | \(-0.166707\pi\) | ||||
0.865962 | + | 0.500109i | \(0.166707\pi\) | |||||||
\(374\) | −3.12260e10 | + | 5.40850e10i | −0.0825266 | + | 0.142940i | ||||
\(375\) | 1.32354e11 | + | 2.29243e11i | 0.345617 | + | 0.598627i | ||||
\(376\) | −9.08855e10 | + | 1.57418e11i | −0.234504 | + | 0.406172i | ||||
\(377\) | −4.74768e10 | − | 8.22322e10i | −0.121045 | − | 0.209655i | ||||
\(378\) | 4.04418e10 | + | 7.00473e10i | 0.101887 | + | 0.176473i | ||||
\(379\) | −4.15129e11 | −1.03349 | −0.516746 | − | 0.856139i | \(-0.672857\pi\) | ||||
−0.516746 | + | 0.856139i | \(0.672857\pi\) | |||||||
\(380\) | 1.50079e11 | + | 2.02872e11i | 0.369228 | + | 0.499109i | ||||
\(381\) | −3.05401e11 | −0.742521 | ||||||||
\(382\) | 2.17200e11 | + | 3.76202e11i | 0.521885 | + | 0.903932i | ||||
\(383\) | −4.15170e11 | − | 7.19096e11i | −0.985898 | − | 1.70762i | −0.637878 | − | 0.770138i | \(-0.720188\pi\) |
−0.348020 | − | 0.937487i | \(-0.613146\pi\) | |||||||
\(384\) | 2.28758e10 | − | 3.96221e10i | 0.0536891 | − | 0.0929923i | ||||
\(385\) | 5.77351e10 | + | 1.00000e11i | 0.133926 | + | 0.231967i | ||||
\(386\) | −2.74819e11 | + | 4.76000e11i | −0.630091 | + | 1.09135i | ||||
\(387\) | −3.01967e11 | −0.684322 | ||||||||
\(388\) | −5.69998e10 | −0.127682 | ||||||||
\(389\) | −1.72702e10 | + | 2.99128e10i | −0.0382405 | + | 0.0662345i | −0.884512 | − | 0.466517i | \(-0.845509\pi\) |
0.846272 | + | 0.532752i | \(0.178842\pi\) | |||||||
\(390\) | 2.26369e11 | − | 3.92083e11i | 0.495480 | − | 0.858197i | ||||
\(391\) | −1.35560e11 | −0.293316 | ||||||||
\(392\) | 1.31434e11 | 0.281138 | ||||||||
\(393\) | 7.58293e9 | − | 1.31340e10i | 0.0160351 | − | 0.0277735i | ||||
\(394\) | −3.05103e11 | − | 5.28454e11i | −0.637842 | − | 1.10478i | ||||
\(395\) | −3.79395e11 | + | 6.57131e11i | −0.784160 | + | 1.35820i | ||||
\(396\) | −2.77486e10 | − | 4.80621e10i | −0.0567040 | − | 0.0982141i | ||||
\(397\) | −3.16236e9 | − | 5.47737e9i | −0.00638931 | − | 0.0110666i | 0.862813 | − | 0.505523i | \(-0.168700\pi\) |
−0.869202 | + | 0.494456i | \(0.835367\pi\) | |||||||
\(398\) | 3.59615e11 | 0.718397 | ||||||||
\(399\) | −1.11022e11 | + | 2.55248e11i | −0.219296 | + | 0.504178i | ||||
\(400\) | 6.93449e10 | 0.135439 | ||||||||
\(401\) | 7.27688e10 | + | 1.26039e11i | 0.140538 | + | 0.243420i | 0.927700 | − | 0.373328i | \(-0.121783\pi\) |
−0.787161 | + | 0.616748i | \(0.788450\pi\) | |||||||
\(402\) | 4.87927e10 | + | 8.45115e10i | 0.0931833 | + | 0.161398i | ||||
\(403\) | 2.12934e11 | − | 3.68812e11i | 0.402135 | − | 0.696519i | ||||
\(404\) | −2.51546e11 | − | 4.35690e11i | −0.469787 | − | 0.813694i | ||||
\(405\) | 4.19984e11 | − | 7.27434e11i | 0.775685 | − | 1.34353i | ||||
\(406\) | 4.56534e10 | 0.0833885 | ||||||||
\(407\) | −1.35020e11 | −0.243907 | ||||||||
\(408\) | −5.88648e10 | + | 1.01957e11i | −0.105168 | + | 0.182157i | ||||
\(409\) | −7.80164e8 | + | 1.35128e9i | −0.00137858 | + | 0.00238776i | −0.866714 | − | 0.498806i | \(-0.833772\pi\) |
0.865335 | + | 0.501193i | \(0.167105\pi\) | |||||||
\(410\) | 5.51352e11 | 0.963610 | ||||||||
\(411\) | 1.68148e11 | 0.290672 | ||||||||
\(412\) | 2.58478e11 | − | 4.47697e11i | 0.441964 | − | 0.765503i | ||||
\(413\) | −3.71054e10 | − | 6.42685e10i | −0.0627570 | − | 0.108698i | ||||
\(414\) | 6.02320e10 | − | 1.04325e11i | 0.100769 | − | 0.174536i | ||||
\(415\) | 4.08420e11 | + | 7.07405e11i | 0.675913 | + | 1.17072i | ||||
\(416\) | 5.01599e10 | + | 8.68796e10i | 0.0821177 | + | 0.142232i | ||||
\(417\) | −3.54935e11 | −0.574826 | ||||||||
\(418\) | −8.39074e10 | + | 1.92910e11i | −0.134433 | + | 0.309073i | ||||
\(419\) | −4.89271e11 | −0.775508 | −0.387754 | − | 0.921763i | \(-0.626749\pi\) | ||||
−0.387754 | + | 0.921763i | \(0.626749\pi\) | |||||||
\(420\) | 1.08838e11 | + | 1.88512e11i | 0.170670 | + | 0.295609i | ||||
\(421\) | −2.88859e11 | − | 5.00318e11i | −0.448143 | − | 0.776206i | 0.550122 | − | 0.835084i | \(-0.314581\pi\) |
−0.998265 | + | 0.0588780i | \(0.981248\pi\) | |||||||
\(422\) | 2.21093e11 | − | 3.82945e11i | 0.339367 | − | 0.587801i | ||||
\(423\) | 2.07825e11 | + | 3.59964e11i | 0.315622 | + | 0.546673i | ||||
\(424\) | −1.42879e11 | + | 2.47473e11i | −0.214695 | + | 0.371862i | ||||
\(425\) | −1.78440e11 | −0.265303 | ||||||||
\(426\) | −1.33246e11 | −0.196024 | ||||||||
\(427\) | 1.09952e11 | − | 1.90443e11i | 0.160058 | − | 0.277229i | ||||
\(428\) | 2.78195e11 | − | 4.81848e11i | 0.400731 | − | 0.694086i | ||||
\(429\) | 3.77418e11 | 0.537978 | ||||||||
\(430\) | 8.95136e11 | 1.26264 | ||||||||
\(431\) | −1.04001e11 | + | 1.80135e11i | −0.145175 | + | 0.251450i | −0.929438 | − | 0.368978i | \(-0.879708\pi\) |
0.784264 | + | 0.620428i | \(0.213041\pi\) | |||||||
\(432\) | 5.76185e10 | + | 9.97981e10i | 0.0795948 | + | 0.137862i | ||||
\(433\) | −4.11551e11 | + | 7.12827e11i | −0.562636 | + | 0.974515i | 0.434629 | + | 0.900610i | \(0.356880\pi\) |
−0.997265 | + | 0.0739050i | \(0.976454\pi\) | |||||||
\(434\) | 1.02378e11 | + | 1.77324e11i | 0.138517 | + | 0.239918i | ||||
\(435\) | −1.46769e11 | − | 2.54211e11i | −0.196532 | − | 0.340403i | ||||
\(436\) | −9.90132e10 | −0.131221 | ||||||||
\(437\) | −4.53701e11 | + | 5.16369e10i | −0.595118 | + | 0.0677319i | ||||
\(438\) | 4.05420e11 | 0.526346 | ||||||||
\(439\) | −8.79743e10 | − | 1.52376e11i | −0.113049 | − | 0.195806i | 0.803949 | − | 0.594698i | \(-0.202728\pi\) |
−0.916998 | + | 0.398892i | \(0.869395\pi\) | |||||||
\(440\) | 8.22566e10 | + | 1.42473e11i | 0.104625 | + | 0.181215i | ||||
\(441\) | 1.50273e11 | − | 2.60280e11i | 0.189194 | − | 0.327694i | ||||
\(442\) | −1.29073e11 | − | 2.23561e11i | −0.160855 | − | 0.278609i | ||||
\(443\) | 3.83287e11 | − | 6.63873e11i | 0.472833 | − | 0.818970i | −0.526684 | − | 0.850061i | \(-0.676565\pi\) |
0.999517 | + | 0.0310909i | \(0.00989813\pi\) | |||||||
\(444\) | −2.54529e11 | −0.310824 | ||||||||
\(445\) | 1.36994e12 | 1.65608 | ||||||||
\(446\) | 3.11014e11 | − | 5.38692e11i | 0.372197 | − | 0.644665i | ||||
\(447\) | 3.90080e11 | − | 6.75638e11i | 0.462136 | − | 0.800443i | ||||
\(448\) | −4.82335e10 | −0.0565715 | ||||||||
\(449\) | −8.46127e11 | −0.982487 | −0.491243 | − | 0.871022i | \(-0.663457\pi\) | ||||
−0.491243 | + | 0.871022i | \(0.663457\pi\) | |||||||
\(450\) | 7.92845e10 | − | 1.37325e11i | 0.0911448 | − | 0.157867i | ||||
\(451\) | 2.29813e11 | + | 3.98047e11i | 0.261565 | + | 0.453044i | ||||
\(452\) | −5.19534e10 | + | 8.99860e10i | −0.0585452 | + | 0.101403i | ||||
\(453\) | −7.35835e11 | − | 1.27450e12i | −0.820991 | − | 1.42200i | ||||
\(454\) | −4.71293e11 | − | 8.16304e11i | −0.520643 | − | 0.901780i | ||||
\(455\) | −4.77297e11 | −0.522081 | ||||||||
\(456\) | −1.58176e11 | + | 3.63658e11i | −0.171316 | + | 0.393869i | ||||
\(457\) | 1.15959e12 | 1.24360 | 0.621799 | − | 0.783177i | \(-0.286402\pi\) | ||||
0.621799 | + | 0.783177i | \(0.286402\pi\) | |||||||
\(458\) | 2.43213e11 | + | 4.21257e11i | 0.258281 | + | 0.447356i | ||||
\(459\) | −1.48265e11 | − | 2.56803e11i | −0.155913 | − | 0.270050i | ||||
\(460\) | −1.78549e11 | + | 3.09255e11i | −0.185929 | + | 0.322038i | ||||
\(461\) | 1.76970e11 | + | 3.06520e11i | 0.182492 | + | 0.316086i | 0.942729 | − | 0.333561i | \(-0.108250\pi\) |
−0.760236 | + | 0.649647i | \(0.774917\pi\) | |||||||
\(462\) | −9.07306e10 | + | 1.57150e11i | −0.0926542 | + | 0.160482i | ||||
\(463\) | −1.49049e12 | −1.50735 | −0.753675 | − | 0.657247i | \(-0.771721\pi\) | ||||
−0.753675 | + | 0.657247i | \(0.771721\pi\) | |||||||
\(464\) | 6.50435e10 | 0.0651438 | ||||||||
\(465\) | 6.58260e11 | − | 1.14014e12i | 0.652919 | − | 1.13089i | ||||
\(466\) | −2.77894e10 | + | 4.81326e10i | −0.0272987 | + | 0.0472827i | ||||
\(467\) | 4.31394e11 | 0.419708 | 0.209854 | − | 0.977733i | \(-0.432701\pi\) | ||||
0.209854 | + | 0.977733i | \(0.432701\pi\) | |||||||
\(468\) | 2.29399e11 | 0.221047 | ||||||||
\(469\) | 5.14395e10 | − | 8.90959e10i | 0.0490930 | − | 0.0850315i | ||||
\(470\) | −6.16067e11 | − | 1.06706e12i | −0.582354 | − | 1.00867i | ||||
\(471\) | −9.06361e11 | + | 1.56986e12i | −0.848608 | + | 1.46983i | ||||
\(472\) | −5.28650e10 | − | 9.15649e10i | −0.0490263 | − | 0.0849161i | ||||
\(473\) | 3.73107e11 | + | 6.46241e11i | 0.342735 | + | 0.593635i | ||||
\(474\) | −1.19244e12 | −1.08501 | ||||||||
\(475\) | −5.97215e11 | + | 6.79706e10i | −0.538282 | + | 0.0612632i | ||||
\(476\) | 1.24116e11 | 0.110814 | ||||||||
\(477\) | 3.26717e11 | + | 5.65890e11i | 0.288961 | + | 0.500495i | ||||
\(478\) | 5.60428e11 | + | 9.70690e11i | 0.491015 | + | 0.850462i | ||||
\(479\) | 5.10020e10 | − | 8.83381e10i | 0.0442667 | − | 0.0766723i | −0.843043 | − | 0.537846i | \(-0.819238\pi\) |
0.887310 | + | 0.461174i | \(0.152572\pi\) | |||||||
\(480\) | 1.55064e11 | + | 2.68578e11i | 0.133329 | + | 0.230933i | ||||
\(481\) | 2.79054e11 | − | 4.83335e11i | 0.237703 | − | 0.411714i | ||||
\(482\) | −4.84759e11 | −0.409086 | ||||||||
\(483\) | −3.93885e11 | −0.329312 | ||||||||
\(484\) | 2.33245e11 | − | 4.03993e11i | 0.193201 | − | 0.334634i | ||||
\(485\) | 1.93186e11 | − | 3.34608e11i | 0.158540 | − | 0.274599i | ||||
\(486\) | 7.66248e11 | 0.623026 | ||||||||
\(487\) | −1.01885e12 | −0.820788 | −0.410394 | − | 0.911908i | \(-0.634609\pi\) | ||||
−0.410394 | + | 0.911908i | \(0.634609\pi\) | |||||||
\(488\) | 1.56652e11 | − | 2.71329e11i | 0.125039 | − | 0.216574i | ||||
\(489\) | 2.54868e11 | + | 4.41445e11i | 0.201570 | + | 0.349130i | ||||
\(490\) | −4.45461e11 | + | 7.71562e11i | −0.349082 | + | 0.604628i | ||||
\(491\) | −4.92444e11 | − | 8.52938e11i | −0.382376 | − | 0.662294i | 0.609026 | − | 0.793150i | \(-0.291561\pi\) |
−0.991401 | + | 0.130857i | \(0.958227\pi\) | |||||||
\(492\) | 4.33225e11 | + | 7.50367e11i | 0.333327 | + | 0.577339i | ||||
\(493\) | −1.67372e11 | −0.127606 | ||||||||
\(494\) | −5.17148e11 | − | 6.99063e11i | −0.390700 | − | 0.528135i | ||||
\(495\) | 3.76188e11 | 0.281632 | ||||||||
\(496\) | 1.45860e11 | + | 2.52638e11i | 0.108211 | + | 0.187426i | ||||
\(497\) | 7.02368e10 | + | 1.21654e11i | 0.0516370 | + | 0.0894380i | ||||
\(498\) | −6.41832e11 | + | 1.11169e12i | −0.467616 | + | 0.809935i | ||||
\(499\) | 8.92630e11 | + | 1.54608e12i | 0.644494 | + | 1.11630i | 0.984418 | + | 0.175844i | \(0.0562655\pi\) |
−0.339924 | + | 0.940453i | \(0.610401\pi\) | |||||||
\(500\) | 1.98797e11 | − | 3.44326e11i | 0.142247 | − | 0.246380i | ||||
\(501\) | −6.70417e11 | −0.475418 | ||||||||
\(502\) | −8.73665e11 | −0.614014 | ||||||||
\(503\) | 2.01163e11 | − | 3.48424e11i | 0.140117 | − | 0.242690i | −0.787423 | − | 0.616412i | \(-0.788585\pi\) |
0.927541 | + | 0.373723i | \(0.121919\pi\) | |||||||
\(504\) | −5.51471e10 | + | 9.55176e10i | −0.0380702 | + | 0.0659395i | ||||
\(505\) | 3.41020e12 | 2.33329 | ||||||||
\(506\) | −2.97688e11 | −0.201876 | ||||||||
\(507\) | 1.23676e11 | − | 2.14214e11i | 0.0831286 | − | 0.143983i | ||||
\(508\) | 2.29358e11 | + | 3.97260e11i | 0.152801 | + | 0.264660i | ||||
\(509\) | −9.61783e11 | + | 1.66586e12i | −0.635107 | + | 1.10004i | 0.351385 | + | 0.936231i | \(0.385711\pi\) |
−0.986492 | + | 0.163807i | \(0.947623\pi\) | |||||||
\(510\) | −3.99014e11 | − | 6.91113e11i | −0.261170 | − | 0.452359i | ||||
\(511\) | −2.13706e11 | − | 3.70150e11i | −0.138651 | − | 0.240150i | ||||
\(512\) | −6.87195e10 | −0.0441942 | ||||||||
\(513\) | −5.94045e11 | − | 8.03010e11i | −0.378696 | − | 0.511909i | ||||
\(514\) | −1.90159e12 | −1.20166 | ||||||||
\(515\) | 1.75209e12 | + | 3.03471e12i | 1.09755 | + | 1.90101i | ||||
\(516\) | 7.03353e11 | + | 1.21824e12i | 0.436767 | + | 0.756502i | ||||
\(517\) | 5.13574e11 | − | 8.89536e11i | 0.316152 | − | 0.547591i | ||||
\(518\) | 1.34168e11 | + | 2.32386e11i | 0.0818777 | + | 0.141816i | ||||
\(519\) | 6.30023e11 | − | 1.09123e12i | 0.381157 | − | 0.660183i | ||||
\(520\) | −6.80017e11 | −0.407854 | ||||||||
\(521\) | 9.75211e11 | 0.579867 | 0.289934 | − | 0.957047i | \(-0.406367\pi\) | ||||
0.289934 | + | 0.957047i | \(0.406367\pi\) | |||||||
\(522\) | 7.43666e10 | − | 1.28807e11i | 0.0438390 | − | 0.0759314i | ||||
\(523\) | −1.64004e12 | + | 2.84064e12i | −0.958512 | + | 1.66019i | −0.232394 | + | 0.972622i | \(0.574656\pi\) |
−0.726118 | + | 0.687570i | \(0.758677\pi\) | |||||||
\(524\) | −2.27793e10 | −0.0131992 | ||||||||
\(525\) | −5.18478e11 | −0.297861 | ||||||||
\(526\) | −1.01527e12 | + | 1.75850e12i | −0.578291 | + | 1.00163i | ||||
\(527\) | −3.75332e11 | − | 6.50095e11i | −0.211967 | − | 0.367138i | ||||
\(528\) | −1.29266e11 | + | 2.23896e11i | −0.0723823 | + | 0.125370i | ||||
\(529\) | 5.77491e11 | + | 1.00024e12i | 0.320623 | + | 0.555336i | ||||
\(530\) | −9.68502e11 | − | 1.67750e12i | −0.533162 | − | 0.923464i | ||||
\(531\) | −2.41770e11 | −0.131971 | ||||||||
\(532\) | 4.15399e11 | − | 4.72776e10i | 0.224835 | − | 0.0255890i | ||||
\(533\) | −1.89987e12 | −1.01965 | ||||||||
\(534\) | 1.07643e12 | + | 1.86443e12i | 0.572863 | + | 0.992228i | ||||
\(535\) | 1.88574e12 | + | 3.26620e12i | 0.995155 | + | 1.72366i | ||||
\(536\) | 7.32872e10 | − | 1.26937e11i | 0.0383519 | − | 0.0664274i | ||||
\(537\) | −9.77997e11 | − | 1.69394e12i | −0.507520 | − | 0.879050i | ||||
\(538\) | 3.01042e11 | − | 5.21420e11i | 0.154920 | − | 0.268329i | ||||
\(539\) | −7.42703e11 | −0.379023 | ||||||||
\(540\) | −7.81132e11 | −0.395324 | ||||||||
\(541\) | 6.64104e11 | − | 1.15026e12i | 0.333310 | − | 0.577310i | −0.649849 | − | 0.760064i | \(-0.725168\pi\) |
0.983159 | + | 0.182753i | \(0.0585010\pi\) | |||||||
\(542\) | 3.85925e11 | − | 6.68441e11i | 0.192090 | − | 0.332710i | ||||
\(543\) | 3.56250e12 | 1.75855 | ||||||||
\(544\) | 1.76831e11 | 0.0865691 | ||||||||
\(545\) | 3.35580e11 | − | 5.81241e11i | 0.162934 | − | 0.282210i | ||||
\(546\) | −3.75036e11 | − | 6.49582e11i | −0.180595 | − | 0.312800i | ||||
\(547\) | 1.07136e12 | − | 1.85564e12i | 0.511671 | − | 0.886240i | −0.488238 | − | 0.872711i | \(-0.662360\pi\) |
0.999908 | − | 0.0135291i | \(-0.00430657\pi\) | |||||||
\(548\) | −1.26280e11 | − | 2.18723e11i | −0.0598166 | − | 0.103605i | ||||
\(549\) | −3.58211e11 | − | 6.20439e11i | −0.168292 | − | 0.291490i | ||||
\(550\) | −3.91852e11 | −0.182596 | ||||||||
\(551\) | −5.60171e11 | + | 6.37545e10i | −0.258904 | + | 0.0294665i | ||||
\(552\) | −5.61178e11 | −0.257261 | ||||||||
\(553\) | 6.28561e11 | + | 1.08870e12i | 0.285814 | + | 0.495045i | ||||
\(554\) | −7.38967e11 | − | 1.27993e12i | −0.333297 | − | 0.577287i | ||||
\(555\) | 8.62663e11 | − | 1.49418e12i | 0.385942 | − | 0.668472i | ||||
\(556\) | 2.66558e11 | + | 4.61692e11i | 0.118292 | + | 0.204888i | ||||
\(557\) | −1.37256e10 | + | 2.37734e10i | −0.00604203 | + | 0.0104651i | −0.869031 | − | 0.494758i | \(-0.835257\pi\) |
0.862989 | + | 0.505223i | \(0.168590\pi\) | |||||||
\(558\) | 6.67070e11 | 0.291285 | ||||||||
\(559\) | −3.08449e12 | −1.33607 | ||||||||
\(560\) | 1.63475e11 | − | 2.83147e11i | 0.0702434 | − | 0.121665i | ||||
\(561\) | 3.32631e11 | − | 5.76135e11i | 0.141785 | − | 0.245579i | ||||
\(562\) | 1.23739e12 | 0.523231 | ||||||||
\(563\) | −1.71810e12 | −0.720708 | −0.360354 | − | 0.932816i | \(-0.617344\pi\) | ||||
−0.360354 | + | 0.932816i | \(0.617344\pi\) | |||||||
\(564\) | 9.68148e11 | − | 1.67688e12i | 0.402890 | − | 0.697825i | ||||
\(565\) | −3.52166e11 | − | 6.09969e11i | −0.145388 | − | 0.251820i | ||||
\(566\) | 9.92048e11 | − | 1.71828e12i | 0.406311 | − | 0.703752i | ||||
\(567\) | −6.95807e11 | − | 1.20517e12i | −0.282726 | − | 0.489695i | ||||
\(568\) | 1.00068e11 | + | 1.73323e11i | 0.0403393 | + | 0.0698697i | ||||
\(569\) | −1.70081e12 | −0.680224 | −0.340112 | − | 0.940385i | \(-0.610465\pi\) | ||||
−0.340112 | + | 0.940385i | \(0.610465\pi\) | |||||||
\(570\) | −1.59870e12 | − | 2.16107e12i | −0.634353 | − | 0.857496i | ||||
\(571\) | 2.37377e10 | 0.00934495 | 0.00467248 | − | 0.999989i | \(-0.498513\pi\) | ||||
0.00467248 | + | 0.999989i | \(0.498513\pi\) | |||||||
\(572\) | −2.83442e11 | − | 4.90937e11i | −0.110709 | − | 0.191754i | ||||
\(573\) | −2.31370e12 | − | 4.00745e12i | −0.896626 | − | 1.55300i | ||||
\(574\) | 4.56725e11 | − | 7.91071e11i | 0.175611 | − | 0.304167i | ||||
\(575\) | −4.25283e11 | − | 7.36611e11i | −0.162245 | − | 0.281017i | ||||
\(576\) | −7.85695e10 | + | 1.36086e11i | −0.0297408 | + | 0.0515126i | ||||
\(577\) | −1.31790e11 | −0.0494986 | −0.0247493 | − | 0.999694i | \(-0.507879\pi\) | ||||
−0.0247493 | + | 0.999694i | \(0.507879\pi\) | |||||||
\(578\) | 1.44238e12 | 0.537532 | ||||||||
\(579\) | 2.92747e12 | − | 5.07053e12i | 1.08253 | − | 1.87500i | ||||
\(580\) | −2.20449e11 | + | 3.81828e11i | −0.0808875 | + | 0.140101i | ||||
\(581\) | 1.35330e12 | 0.492721 | ||||||||
\(582\) | 6.07184e11 | 0.219365 | ||||||||
\(583\) | 8.07376e11 | − | 1.39842e12i | 0.289446 | − | 0.501335i | ||||
\(584\) | −3.04472e11 | − | 5.27361e11i | −0.108315 | − | 0.187608i | ||||
\(585\) | −7.77488e11 | + | 1.34665e12i | −0.274468 | + | 0.475393i | ||||
\(586\) | 1.02236e12 | + | 1.77078e12i | 0.358151 | + | 0.620335i | ||||
\(587\) | 1.99677e12 | + | 3.45850e12i | 0.694155 | + | 1.20231i | 0.970465 | + | 0.241243i | \(0.0775550\pi\) |
−0.276310 | + | 0.961069i | \(0.589112\pi\) | |||||||
\(588\) | −1.40008e12 | −0.483010 | ||||||||
\(589\) | −1.50382e12 | − | 2.03281e12i | −0.514845 | − | 0.695950i | ||||
\(590\) | 7.16690e11 | 0.243499 | ||||||||
\(591\) | 3.25008e12 | + | 5.62930e12i | 1.09585 | + | 1.89806i | ||||
\(592\) | 1.91153e11 | + | 3.31086e11i | 0.0639636 | + | 0.110788i | ||||
\(593\) | 1.73999e12 | − | 3.01376e12i | 0.577832 | − | 1.00083i | −0.417895 | − | 0.908495i | \(-0.637232\pi\) |
0.995728 | − | 0.0923396i | \(-0.0294345\pi\) | |||||||
\(594\) | −3.25589e11 | − | 5.63937e11i | −0.107308 | − | 0.185862i | ||||
\(595\) | −4.20659e11 | + | 7.28603e11i | −0.137595 | + | 0.238322i | ||||
\(596\) | −1.17181e12 | −0.380407 | ||||||||
\(597\) | −3.83076e12 | −1.23424 | ||||||||
\(598\) | 6.15248e11 | − | 1.06564e12i | 0.196741 | − | 0.340766i | ||||
\(599\) | −1.50016e12 | + | 2.59835e12i | −0.476120 | + | 0.824664i | −0.999626 | − | 0.0273584i | \(-0.991290\pi\) |
0.523506 | + | 0.852022i | \(0.324624\pi\) | |||||||
\(600\) | −7.38689e11 | −0.232692 | ||||||||
\(601\) | 2.03299e12 | 0.635623 | 0.317812 | − | 0.948154i | \(-0.397052\pi\) | ||||
0.317812 | + | 0.948154i | \(0.397052\pi\) | |||||||
\(602\) | 7.41506e11 | − | 1.28433e12i | 0.230107 | − | 0.398558i | ||||
\(603\) | −1.67584e11 | − | 2.90264e11i | −0.0516183 | − | 0.0894056i | ||||
\(604\) | −1.10523e12 | + | 1.91432e12i | −0.337899 | + | 0.585258i | ||||
\(605\) | 1.58105e12 | + | 2.73846e12i | 0.479785 | + | 0.831013i | ||||
\(606\) | 2.67956e12 | + | 4.64114e12i | 0.807118 | + | 1.39797i | ||||
\(607\) | −3.29165e12 | −0.984158 | −0.492079 | − | 0.870550i | \(-0.663763\pi\) | ||||
−0.492079 | + | 0.870550i | \(0.663763\pi\) | |||||||
\(608\) | 5.91829e11 | − | 6.73576e10i | 0.175643 | − | 0.0199903i | ||||
\(609\) | −4.86318e11 | −0.143266 | ||||||||
\(610\) | 1.06186e12 | + | 1.83920e12i | 0.310516 | + | 0.537829i | ||||
\(611\) | 2.12286e12 | + | 3.67691e12i | 0.616221 | + | 1.06733i | ||||
\(612\) | 2.02177e11 | − | 3.50181e11i | 0.0582573 | − | 0.100905i | ||||
\(613\) | 4.20944e10 | + | 7.29096e10i | 0.0120407 | + | 0.0208551i | 0.871983 | − | 0.489536i | \(-0.162834\pi\) |
−0.859942 | + | 0.510391i | \(0.829501\pi\) | |||||||
\(614\) | 1.40450e12 | − | 2.43266e12i | 0.398808 | − | 0.690756i | ||||
\(615\) | −5.87322e12 | −1.65553 | ||||||||
\(616\) | 2.72557e11 | 0.0762682 | ||||||||
\(617\) | 2.12060e12 | − | 3.67298e12i | 0.589081 | − | 1.02032i | −0.405272 | − | 0.914196i | \(-0.632823\pi\) |
0.994353 | − | 0.106122i | \(-0.0338435\pi\) | |||||||
\(618\) | −2.75341e12 | + | 4.76905e12i | −0.759317 | + | 1.31518i | ||||
\(619\) | 5.95247e12 | 1.62963 | 0.814816 | − | 0.579720i | \(-0.196838\pi\) | ||||
0.814816 | + | 0.579720i | \(0.196838\pi\) | |||||||
\(620\) | −1.97743e12 | −0.537450 | ||||||||
\(621\) | 7.06733e11 | − | 1.22410e12i | 0.190697 | − | 0.330296i | ||||
\(622\) | 1.23769e12 | + | 2.14374e12i | 0.331554 | + | 0.574268i | ||||
\(623\) | 1.13482e12 | − | 1.96557e12i | 0.301809 | − | 0.522748i | ||||
\(624\) | −5.34323e11 | − | 9.25475e11i | −0.141083 | − | 0.244362i | ||||
\(625\) | 2.38086e12 | + | 4.12377e12i | 0.624128 | + | 1.08102i | ||||
\(626\) | 4.70682e12 | 1.22502 | ||||||||
\(627\) | 8.93814e11 | − | 2.05495e12i | 0.230963 | − | 0.531003i | ||||
\(628\) | 2.72273e12 | 0.698531 | ||||||||
\(629\) | −4.91880e11 | − | 8.51961e11i | −0.125294 | − | 0.217016i | ||||
\(630\) | −3.73814e11 | − | 6.47465e11i | −0.0945416 | − | 0.163751i | ||||
\(631\) | 6.59042e11 | − | 1.14149e12i | 0.165494 | − | 0.286643i | −0.771337 | − | 0.636427i | \(-0.780412\pi\) |
0.936830 | + | 0.349784i | \(0.113745\pi\) | |||||||
\(632\) | 8.95526e11 | + | 1.55110e12i | 0.223281 | + | 0.386734i | ||||
\(633\) | −2.35517e12 | + | 4.07928e12i | −0.583050 | + | 1.00987i | ||||
\(634\) | −5.17040e11 | −0.127093 | ||||||||
\(635\) | −3.10940e12 | −0.758919 | ||||||||
\(636\) | 1.52200e12 | − | 2.63618e12i | 0.368857 | − | 0.638879i | ||||
\(637\) | 1.53499e12 | − | 2.65867e12i | 0.369383 | − | 0.639790i | ||||
\(638\) | −3.67546e11 | −0.0878252 | ||||||||
\(639\) | 4.57646e11 | 0.108587 | ||||||||
\(640\) | 2.32907e11 | − | 4.03407e11i | 0.0548748 | − | 0.0950459i | ||||
\(641\) | 1.53165e12 | + | 2.65290e12i | 0.358343 | + | 0.620669i | 0.987684 | − | 0.156460i | \(-0.0500084\pi\) |
−0.629341 | + | 0.777129i | \(0.716675\pi\) | |||||||
\(642\) | −2.96345e12 | + | 5.13284e12i | −0.688477 | + | 1.19248i | ||||
\(643\) | −1.97243e12 | − | 3.41635e12i | −0.455043 | − | 0.788158i | 0.543647 | − | 0.839314i | \(-0.317043\pi\) |
−0.998691 | + | 0.0511555i | \(0.983710\pi\) | |||||||
\(644\) | 2.95810e11 | + | 5.12357e11i | 0.0677682 | + | 0.117378i | ||||
\(645\) | −9.53534e12 | −2.16929 | ||||||||
\(646\) | −1.52291e12 | + | 1.73326e11i | −0.344055 | + | 0.0391578i | ||||
\(647\) | −6.75296e12 | −1.51504 | −0.757521 | − | 0.652811i | \(-0.773590\pi\) | ||||
−0.757521 | + | 0.652811i | \(0.773590\pi\) | |||||||
\(648\) | −9.91334e11 | − | 1.71704e12i | −0.220868 | − | 0.382554i | ||||
\(649\) | 2.98728e11 | + | 5.17413e11i | 0.0660960 | + | 0.114482i | ||||
\(650\) | 8.09863e11 | − | 1.40272e12i | 0.177951 | − | 0.308221i | ||||
\(651\) | −1.09057e12 | − | 1.88892e12i | −0.237979 | − | 0.412192i | ||||
\(652\) | 3.82815e11 | − | 6.63055e11i | 0.0829611 | − | 0.143693i | ||||
\(653\) | −3.80084e12 | −0.818033 | −0.409016 | − | 0.912527i | \(-0.634128\pi\) | ||||
−0.409016 | + | 0.912527i | \(0.634128\pi\) | |||||||
\(654\) | 1.05473e12 | 0.225445 | ||||||||
\(655\) | 7.72046e10 | − | 1.33722e11i | 0.0163892 | − | 0.0283869i | ||||
\(656\) | 6.50708e11 | − | 1.12706e12i | 0.137189 | − | 0.237618i | ||||
\(657\) | −1.39246e12 | −0.291566 | ||||||||
\(658\) | −2.04133e12 | −0.424519 | ||||||||
\(659\) | 2.31936e12 | − | 4.01724e12i | 0.479053 | − | 0.829744i | −0.520659 | − | 0.853765i | \(-0.674314\pi\) |
0.999711 | + | 0.0240212i | \(0.00764693\pi\) | |||||||
\(660\) | −8.76230e11 | − | 1.51767e12i | −0.179751 | − | 0.311337i | ||||
\(661\) | −3.98934e12 | + | 6.90975e12i | −0.812821 | + | 1.40785i | 0.0980609 | + | 0.995180i | \(0.468736\pi\) |
−0.910882 | + | 0.412667i | \(0.864597\pi\) | |||||||
\(662\) | −2.40160e12 | − | 4.15970e12i | −0.486004 | − | 0.841784i | ||||
\(663\) | 1.37494e12 | + | 2.38146e12i | 0.276358 | + | 0.478666i | ||||
\(664\) | 1.92808e12 | 0.384918 | ||||||||
\(665\) | −1.13035e12 | + | 2.59877e12i | −0.224139 | + | 0.515312i | ||||
\(666\) | 8.74208e11 | 0.172179 | ||||||||
\(667\) | −3.98903e11 | − | 6.90921e11i | −0.0780371 | − | 0.135164i | ||||
\(668\) | 5.03486e11 | + | 8.72064e11i | 0.0978349 | + | 0.169455i | ||||
\(669\) | −3.31305e12 | + | 5.73836e12i | −0.639455 | + | 1.10757i | ||||
\(670\) | 4.96777e11 | + | 8.60442e11i | 0.0952411 | + | 0.164962i | ||||
\(671\) | −8.85203e11 | + | 1.53322e12i | −0.168574 | + | 0.291979i | ||||
\(672\) | 5.13802e11 | 0.0971928 | ||||||||
\(673\) | −7.58083e12 | −1.42445 | −0.712227 | − | 0.701949i | \(-0.752314\pi\) | ||||
−0.712227 | + | 0.701949i | \(0.752314\pi\) | |||||||
\(674\) | 2.23282e12 | − | 3.86736e12i | 0.416758 | − | 0.721847i | ||||
\(675\) | 9.30285e11 | − | 1.61130e12i | 0.172484 | − | 0.298751i | ||||
\(676\) | −3.71526e11 | −0.0684272 | ||||||||
\(677\) | 8.45656e12 | 1.54719 | 0.773597 | − | 0.633678i | \(-0.218456\pi\) | ||||
0.773597 | + | 0.633678i | \(0.218456\pi\) | |||||||
\(678\) | 5.53428e11 | − | 9.58566e11i | 0.100584 | − | 0.174216i | ||||
\(679\) | −3.20060e11 | − | 5.54361e11i | −0.0577854 | − | 0.100087i | ||||
\(680\) | −5.99323e11 | + | 1.03806e12i | −0.107491 | + | 0.186179i | ||||
\(681\) | 5.02040e12 | + | 8.69559e12i | 0.894492 | + | 1.54931i | ||||
\(682\) | −8.24225e11 | − | 1.42760e12i | −0.145887 | − | 0.252683i | ||||
\(683\) | −4.76125e11 | −0.0837197 | −0.0418598 | − | 0.999123i | \(-0.513328\pi\) | ||||
−0.0418598 | + | 0.999123i | \(0.513328\pi\) | |||||||
\(684\) | 5.43270e11 | − | 1.24902e12i | 0.0948994 | − | 0.218181i | ||||
\(685\) | 1.71197e12 | 0.297091 | ||||||||
\(686\) | 1.66613e12 | + | 2.88582e12i | 0.287244 | + | 0.497520i | ||||
\(687\) | −2.59080e12 | − | 4.48740e12i | −0.443740 | − | 0.768580i | ||||
\(688\) | 1.05644e12 | − | 1.82981e12i | 0.179762 | − | 0.311357i | ||||
\(689\) | 3.33730e12 | + | 5.78037e12i | 0.564168 | + | 0.977168i | ||||
\(690\) | 1.90197e12 | − | 3.29431e12i | 0.319435 | − | 0.553278i | ||||
\(691\) | 1.88713e12 | 0.314884 | 0.157442 | − | 0.987528i | \(-0.449675\pi\) | ||||
0.157442 | + | 0.987528i | \(0.449675\pi\) | |||||||
\(692\) | −1.89260e12 | −0.313749 | ||||||||
\(693\) | 3.11624e11 | − | 5.39748e11i | 0.0513252 | − | 0.0888979i | ||||
\(694\) | −2.58226e12 | + | 4.47261e12i | −0.422555 | + | 0.731886i | ||||
\(695\) | −3.61372e12 | −0.587521 | ||||||||
\(696\) | −6.92869e11 | −0.111921 | ||||||||
\(697\) | −1.67442e12 | + | 2.90018e12i | −0.268730 | + | 0.465455i | ||||
\(698\) | 1.55439e12 | + | 2.69228e12i | 0.247862 | + | 0.429309i | ||||
\(699\) | 2.96023e11 | − | 5.12727e11i | 0.0469006 | − | 0.0812342i | ||||
\(700\) | 3.89380e11 | + | 6.74425e11i | 0.0612960 | + | 0.106168i | ||||
\(701\) | 2.06306e12 | + | 3.57332e12i | 0.322686 | + | 0.558909i | 0.981041 | − | 0.193798i | \(-0.0620808\pi\) |
−0.658355 | + | 0.752707i | \(0.728747\pi\) | |||||||
\(702\) | 2.69165e12 | 0.418313 | ||||||||
\(703\) | −1.97078e12 | − | 2.66403e12i | −0.304326 | − | 0.411378i | ||||
\(704\) | 3.88318e11 | 0.0595814 | ||||||||
\(705\) | 6.56259e12 | + | 1.13667e13i | 1.00052 | + | 1.73294i | ||||
\(706\) | −2.69221e12 | − | 4.66304e12i | −0.407837 | − | 0.706395i | ||||
\(707\) | 2.82492e12 | − | 4.89290e12i | 0.425225 | − | 0.736511i | ||||
\(708\) | 5.63139e11 | + | 9.75386e11i | 0.0842299 | + | 0.145890i | ||||
\(709\) | 3.47949e12 | − | 6.02666e12i | 0.517140 | − | 0.895713i | −0.482662 | − | 0.875807i | \(-0.660330\pi\) |
0.999802 | − | 0.0199059i | \(-0.00633665\pi\) | |||||||
\(710\) | −1.35662e12 | −0.200353 | ||||||||
\(711\) | 4.09555e12 | 0.601034 | ||||||||
\(712\) | 1.61681e12 | − | 2.80040e12i | 0.235776 | − | 0.408376i | ||||
\(713\) | 1.78909e12 | − | 3.09879e12i | 0.259256 | − | 0.449044i | ||||
\(714\) | −1.32213e12 | −0.190385 | ||||||||
\(715\) | 3.84262e12 | 0.549858 | ||||||||
\(716\) | −1.46896e12 | + | 2.54431e12i | −0.208882 | + | 0.361795i | ||||
\(717\) | −5.96990e12 | − | 1.03402e13i | −0.843589 | − | 1.46114i | ||||
\(718\) | −3.52185e12 | + | 6.10003e12i | −0.494551 | + | 0.856588i | ||||
\(719\) | −3.57616e12 | − | 6.19409e12i | −0.499042 | − | 0.864366i | 0.500957 | − | 0.865472i | \(-0.332981\pi\) |
−0.999999 | + | 0.00110597i | \(0.999648\pi\) | |||||||
\(720\) | −5.32582e11 | − | 9.22460e11i | −0.0738568 | − | 0.127924i | ||||
\(721\) | 5.80554e12 | 0.800081 | ||||||||
\(722\) | −5.03096e12 | + | 1.16020e12i | −0.689022 | + | 0.158897i | ||||
\(723\) | 5.16384e12 | 0.702831 | ||||||||
\(724\) | −2.67545e12 | − | 4.63402e12i | −0.361888 | − | 0.626808i | ||||
\(725\) | −5.25084e11 | − | 9.09472e11i | −0.0705842 | − | 0.122255i | ||||
\(726\) | −2.48462e12 | + | 4.30349e12i | −0.331929 | + | 0.574918i | ||||
\(727\) | −3.65386e12 | − | 6.32867e12i | −0.485118 | − | 0.840248i | 0.514736 | − | 0.857349i | \(-0.327890\pi\) |
−0.999854 | + | 0.0171003i | \(0.994557\pi\) | |||||||
\(728\) | −5.63308e11 | + | 9.75678e11i | −0.0743284 | + | 0.128741i | ||||
\(729\) | 1.36518e12 | 0.179026 | ||||||||
\(730\) | 4.12772e12 | 0.537970 | ||||||||
\(731\) | −2.71847e12 | + | 4.70853e12i | −0.352124 | + | 0.609897i | ||||
\(732\) | −1.66871e12 | + | 2.89030e12i | −0.214824 | + | 0.372086i | ||||
\(733\) | 3.18256e12 | 0.407201 | 0.203600 | − | 0.979054i | \(-0.434736\pi\) | ||||
0.203600 | + | 0.979054i | \(0.434736\pi\) | |||||||
\(734\) | 4.92926e12 | 0.626829 | ||||||||
\(735\) | 4.74523e12 | − | 8.21898e12i | 0.599742 | − | 1.03878i | ||||
\(736\) | 4.21447e11 | + | 7.29968e11i | 0.0529411 | + | 0.0916967i | ||||
\(737\) | −4.14129e11 | + | 7.17293e11i | −0.0517050 | + | 0.0895556i | ||||
\(738\) | −1.48795e12 | − | 2.57721e12i | −0.184644 | − | 0.319813i | ||||
\(739\) | −2.52544e12 | − | 4.37420e12i | −0.311486 | − | 0.539509i | 0.667199 | − | 0.744880i | \(-0.267493\pi\) |
−0.978684 | + | 0.205371i | \(0.934160\pi\) | |||||||
\(740\) | −2.59146e12 | −0.317688 | ||||||||
\(741\) | 5.50886e12 | + | 7.44669e12i | 0.671243 | + | 0.907363i | ||||
\(742\) | −3.20913e12 | −0.388659 | ||||||||
\(743\) | 3.20763e12 | + | 5.55578e12i | 0.386131 | + | 0.668799i | 0.991925 | − | 0.126822i | \(-0.0404778\pi\) |
−0.605794 | + | 0.795621i | \(0.707145\pi\) | |||||||
\(744\) | −1.55376e12 | − | 2.69120e12i | −0.185912 | − | 0.322008i | ||||
\(745\) | 3.97155e12 | − | 6.87892e12i | 0.472342 | − | 0.818120i | ||||
\(746\) | 5.17975e12 | + | 8.97159e12i | 0.612328 | + | 1.06058i | ||||
\(747\) | 2.20444e12 | − | 3.81820e12i | 0.259033 | − | 0.448659i | ||||
\(748\) | −9.99231e11 | −0.116710 | ||||||||
\(749\) | 6.24840e12 | 0.725438 | ||||||||
\(750\) | −2.11766e12 | + | 3.66789e12i | −0.244388 | + | 0.423293i | ||||
\(751\) | 6.01186e12 | − | 1.04128e13i | 0.689650 | − | 1.19451i | −0.282301 | − | 0.959326i | \(-0.591098\pi\) |
0.971951 | − | 0.235183i | \(-0.0755690\pi\) | |||||||
\(752\) | −2.90834e12 | −0.331638 | ||||||||
\(753\) | 9.30663e12 | 1.05491 | ||||||||
\(754\) | 7.59629e11 | − | 1.31572e12i | 0.0855914 | − | 0.148249i | ||||
\(755\) | −7.49180e12 | − | 1.29762e13i | −0.839121 | − | 1.45340i | ||||
\(756\) | −6.47069e11 | + | 1.12076e12i | −0.0720448 | + | 0.124785i | ||||
\(757\) | −5.84034e12 | − | 1.01158e13i | −0.646408 | − | 1.11961i | −0.983974 | − | 0.178309i | \(-0.942937\pi\) |
0.337567 | − | 0.941302i | \(-0.390396\pi\) | |||||||
\(758\) | −3.32103e12 | − | 5.75220e12i | −0.365395 | − | 0.632882i | ||||
\(759\) | 3.17109e12 | 0.346833 | ||||||||
\(760\) | −1.61044e12 | + | 3.70253e12i | −0.175099 | + | 0.402567i | ||||
\(761\) | −1.24898e13 | −1.34997 | −0.674984 | − | 0.737832i | \(-0.735849\pi\) | ||||
−0.674984 | + | 0.737832i | \(0.735849\pi\) | |||||||
\(762\) | −2.44321e12 | − | 4.23177e12i | −0.262521 | − | 0.454699i | ||||
\(763\) | −5.55971e11 | − | 9.62969e11i | −0.0593870 | − | 0.102861i | ||||
\(764\) | −3.47520e12 | + | 6.01923e12i | −0.369029 | + | 0.639176i | ||||
\(765\) | 1.37046e12 | + | 2.37370e12i | 0.144673 | + | 0.250582i | ||||
\(766\) | 6.64273e12 | − | 1.15055e13i | 0.697135 | − | 1.20747i | ||||
\(767\) | −2.46959e12 | −0.257660 | ||||||||
\(768\) | 7.32027e11 | 0.0759279 | ||||||||
\(769\) | −5.82084e12 | + | 1.00820e13i | −0.600229 | + | 1.03963i | 0.392557 | + | 0.919728i | \(0.371591\pi\) |
−0.992786 | + | 0.119899i | \(0.961743\pi\) | |||||||
\(770\) | −9.23761e11 | + | 1.60000e12i | −0.0947003 | + | 0.164026i | ||||
\(771\) | 2.02565e13 | 2.06452 | ||||||||
\(772\) | −8.79419e12 | −0.891083 | ||||||||
\(773\) | −5.51201e12 | + | 9.54708e12i | −0.555268 | + | 0.961752i | 0.442615 | + | 0.896712i | \(0.354051\pi\) |
−0.997883 | + | 0.0650400i | \(0.979282\pi\) | |||||||
\(774\) | −2.41574e12 | − | 4.18418e12i | −0.241944 | − | 0.419060i | ||||
\(775\) | 2.35501e12 | − | 4.07899e12i | 0.234495 | − | 0.406158i | ||||
\(776\) | −4.55998e11 | − | 7.89812e11i | −0.0451425 | − | 0.0781891i | ||||
\(777\) | −1.42921e12 | − | 2.47547e12i | −0.140670 | − | 0.243648i | ||||
\(778\) | −5.52646e11 | −0.0540803 | ||||||||
\(779\) | −4.49933e12 | + | 1.03443e13i | −0.437753 | + | 1.00643i | ||||
\(780\) | 7.24381e12 | 0.700715 | ||||||||
\(781\) | −5.65463e11 | − | 9.79410e11i | −0.0543844 | − | 0.0941965i | ||||
\(782\) | −1.08448e12 | − | 1.87837e12i | −0.103703 | − | 0.179619i | ||||
\(783\) | 8.72582e11 | − | 1.51136e12i | 0.0829618 | − | 0.143694i | ||||
\(784\) | 1.05147e12 | + | 1.82120e12i | 0.0993973 | + | 0.172161i | ||||
\(785\) | −9.22798e12 | + | 1.59833e13i | −0.867348 | + | 1.50229i | ||||
\(786\) | 2.42654e11 | 0.0226770 | ||||||||
\(787\) | −3.35754e12 | −0.311986 | −0.155993 | − | 0.987758i | \(-0.549858\pi\) | ||||
−0.155993 | + | 0.987758i | \(0.549858\pi\) | |||||||
\(788\) | 4.88165e12 | − | 8.45526e12i | 0.451023 | − | 0.781194i | ||||
\(789\) | 1.08151e13 | − | 1.87323e13i | 0.993535 | − | 1.72085i | ||||
\(790\) | −1.21406e13 | −1.10897 | ||||||||
\(791\) | −1.16690e12 | −0.105984 | ||||||||
\(792\) | 4.43978e11 | − | 7.68993e11i | 0.0400957 | − | 0.0694479i | ||||
\(793\) | −3.65900e12 | − | 6.33757e12i | −0.328574 | − | 0.569106i | ||||
\(794\) | 5.05978e10 | − | 8.76379e10i | 0.00451793 | − | 0.00782528i | ||||
\(795\) | 1.03169e13 | + | 1.78693e13i | 0.916001 | + | 1.58656i | ||||
\(796\) | 2.87692e12 | + | 4.98298e12i | 0.253992 | + | 0.439926i | ||||
\(797\) | −1.23113e13 | −1.08079 | −0.540396 | − | 0.841411i | \(-0.681726\pi\) | ||||
−0.540396 | + | 0.841411i | \(0.681726\pi\) | |||||||
\(798\) | −4.42499e12 | + | 5.03619e11i | −0.386278 | + | 0.0439632i | ||||
\(799\) | 7.48382e12 | 0.649625 | ||||||||
\(800\) | 5.54759e11 | + | 9.60871e11i | 0.0478850 | + | 0.0829392i | ||||
\(801\) | −3.69712e12 | − | 6.40359e12i | −0.317334 | − | 0.549639i | ||||
\(802\) | −1.16430e12 | + | 2.01663e12i | −0.0993757 | + | 0.172124i | ||||
\(803\) | 1.72050e12 | + | 2.98000e12i | 0.146028 | + | 0.252928i | ||||
\(804\) | −7.80684e11 | + | 1.35218e12i | −0.0658905 | + | 0.114126i | ||||
\(805\) | −4.01028e12 | −0.336584 | ||||||||
\(806\) | 6.81388e12 | 0.568705 | ||||||||
\(807\) | −3.20682e12 | + | 5.55437e12i | −0.266160 | + | 0.461003i | ||||
\(808\) | 4.02473e12 | − | 6.97104e12i | 0.332189 | − | 0.575369i | ||||
\(809\) | 3.97478e11 | 0.0326245 | 0.0163123 | − | 0.999867i | \(-0.494807\pi\) | ||||
0.0163123 | + | 0.999867i | \(0.494807\pi\) | |||||||
\(810\) | 1.34395e13 | 1.09698 | ||||||||
\(811\) | −6.86378e12 | + | 1.18884e13i | −0.557146 | + | 0.965006i | 0.440587 | + | 0.897710i | \(0.354770\pi\) |
−0.997733 | + | 0.0672957i | \(0.978563\pi\) | |||||||
\(812\) | 3.65227e11 | + | 6.32592e11i | 0.0294823 | + | 0.0510648i | ||||
\(813\) | −4.11102e12 | + | 7.12050e12i | −0.330021 | + | 0.571614i | ||||
\(814\) | −1.08016e12 | − | 1.87089e12i | −0.0862341 | − | 0.149362i | ||||
\(815\) | 2.59491e12 | + | 4.49451e12i | 0.206022 | + | 0.356840i | ||||
\(816\) | −1.88367e12 | −0.148730 | ||||||||
\(817\) | −7.30480e12 | + | 1.67943e13i | −0.573600 | + | 1.31875i | ||||
\(818\) | −2.49652e10 | −0.00194960 | ||||||||
\(819\) | 1.28810e12 | + | 2.23106e12i | 0.100040 | + | 0.173274i | ||||
\(820\) | 4.41081e12 | + | 7.63976e12i | 0.340688 | + | 0.590088i | ||||
\(821\) | 6.28898e12 | − | 1.08928e13i | 0.483099 | − | 0.836752i | −0.516713 | − | 0.856159i | \(-0.672844\pi\) |
0.999812 | + | 0.0194067i | \(0.00617775\pi\) | |||||||
\(822\) | 1.34518e12 | + | 2.32993e12i | 0.102768 | + | 0.177999i | ||||
\(823\) | −3.23628e12 | + | 5.60540e12i | −0.245893 | + | 0.425900i | −0.962382 | − | 0.271699i | \(-0.912415\pi\) |
0.716489 | + | 0.697598i | \(0.245748\pi\) | |||||||
\(824\) | 8.27130e12 | 0.625031 | ||||||||
\(825\) | 4.17416e12 | 0.313709 | ||||||||
\(826\) | 5.93687e11 | − | 1.02830e12i | 0.0443759 | − | 0.0768613i | ||||
\(827\) | 1.11094e12 | − | 1.92420e12i | 0.0825874 | − | 0.143046i | −0.821773 | − | 0.569815i | \(-0.807015\pi\) |
0.904361 | + | 0.426769i | \(0.140348\pi\) | |||||||
\(828\) | 1.92742e12 | 0.142508 | ||||||||
\(829\) | −1.61427e13 | −1.18708 | −0.593540 | − | 0.804805i | \(-0.702270\pi\) | ||||
−0.593540 | + | 0.804805i | \(0.702270\pi\) | |||||||
\(830\) | −6.53473e12 | + | 1.13185e13i | −0.477943 | + | 0.827821i | ||||
\(831\) | 7.87177e12 | + | 1.36343e13i | 0.572621 | + | 0.991809i | ||||
\(832\) | −8.02559e11 | + | 1.39007e12i | −0.0580660 | + | 0.100573i | ||||
\(833\) | −2.70567e12 | − | 4.68636e12i | −0.194703 | − | 0.337236i | ||||
\(834\) | −2.83948e12 | − | 4.91813e12i | −0.203232 | − | 0.352008i | ||||
\(835\) | −6.82576e12 | −0.485916 | ||||||||
\(836\) | −3.34429e12 | + | 3.80622e11i | −0.236797 | + | 0.0269505i | ||||
\(837\) | 7.82707e12 | 0.551233 | ||||||||
\(838\) | −3.91417e12 | − | 6.77954e12i | −0.274183 | − | 0.474900i | ||||
\(839\) | 2.79930e12 | + | 4.84852e12i | 0.195038 | + | 0.337816i | 0.946913 | − | 0.321490i | \(-0.104184\pi\) |
−0.751875 | + | 0.659306i | \(0.770850\pi\) | |||||||
\(840\) | −1.74140e12 | + | 3.01620e12i | −0.120682 | + | 0.209027i | ||||
\(841\) | 6.76106e12 | + | 1.17105e13i | 0.466050 | + | 0.807223i | ||||
\(842\) | 4.62174e12 | − | 8.00509e12i | 0.316885 | − | 0.548861i | ||||
\(843\) | −1.31812e13 | −0.898939 | ||||||||
\(844\) | 7.07498e12 | 0.479937 | ||||||||
\(845\) | 1.25919e12 | − | 2.18099e12i | 0.0849644 | − | 0.147163i | ||||
\(846\) | −3.32521e12 | + | 5.75943e12i | −0.223178 | + | 0.386556i | ||||
\(847\) | 5.23880e12 | 0.349749 | ||||||||
\(848\) | −4.57212e12 | −0.303624 | ||||||||
\(849\) | −1.05677e13 | + | 1.83038e13i | −0.698064 | + | 1.20908i | ||||
\(850\) | −1.42752e12 | − | 2.47254e12i | −0.0937988 | − | 0.162464i | ||||
\(851\) | 2.34463e12 | − | 4.06102e12i | 0.153247 | − | 0.265431i | ||||
\(852\) | −1.06597e12 | − | 1.84631e12i | −0.0693051 | − | 0.120040i | ||||
\(853\) | −4.31646e12 | − | 7.47633e12i | −0.279163 | − | 0.483524i | 0.692014 | − | 0.721884i | \(-0.256723\pi\) |
−0.971177 | + | 0.238360i | \(0.923390\pi\) | |||||||
\(854\) | 3.51847e12 | 0.226357 | ||||||||
\(855\) | 5.49091e12 | + | 7.42242e12i | 0.351396 | + | 0.475005i | ||||
\(856\) | 8.90225e12 | 0.566719 | ||||||||
\(857\) | −1.35098e13 | − | 2.33996e13i | −0.855529 | − | 1.48182i | −0.876154 | − | 0.482032i | \(-0.839899\pi\) |
0.0206251 | − | 0.999787i | \(-0.493434\pi\) | |||||||
\(858\) | 3.01934e12 | + | 5.22965e12i | 0.190204 | + | 0.329443i | ||||
\(859\) | 9.35676e11 | − | 1.62064e12i | 0.0586349 | − | 0.101559i | −0.835218 | − | 0.549919i | \(-0.814659\pi\) |
0.893853 | + | 0.448360i | \(0.147992\pi\) | |||||||
\(860\) | 7.16109e12 | + | 1.24034e13i | 0.446412 | + | 0.773208i | ||||
\(861\) | −4.86521e12 | + | 8.42680e12i | −0.301709 | + | 0.522575i | ||||
\(862\) | −3.32804e12 | −0.205308 | ||||||||
\(863\) | −3.63482e12 | −0.223067 | −0.111533 | − | 0.993761i | \(-0.535576\pi\) | ||||
−0.111533 | + | 0.993761i | \(0.535576\pi\) | |||||||
\(864\) | −9.21896e11 | + | 1.59677e12i | −0.0562820 | + | 0.0974834i | ||||
\(865\) | 6.41449e12 | − | 1.11102e13i | 0.389574 | − | 0.674762i | ||||
\(866\) | −1.31696e13 | −0.795688 | ||||||||
\(867\) | −1.53648e13 | −0.923508 | ||||||||
\(868\) | −1.63805e12 | + | 2.83718e12i | −0.0979462 | + | 0.169648i | ||||
\(869\) | −5.06042e12 | − | 8.76490e12i | −0.301021 | − | 0.521384i | ||||
\(870\) | 2.34830e12 | − | 4.06738e12i | 0.138969 | − | 0.240701i | ||||
\(871\) | −1.71181e12 | − | 2.96494e12i | −0.100780 | − | 0.174556i | ||||
\(872\) | −7.92105e11 | − | 1.37197e12i | −0.0463937 | − | 0.0803562i | ||||
\(873\) | −2.08544e12 | −0.121516 | ||||||||
\(874\) | −4.34511e12 | − | 5.87357e12i | −0.251883 | − | 0.340487i | ||||
\(875\) | 4.46507e12 | 0.257509 | ||||||||
\(876\) | 3.24336e12 | + | 5.61766e12i | 0.186091 | + | 0.322320i | ||||
\(877\) | −1.67499e13 | − | 2.90117e13i | −0.956124 | − | 1.65606i | −0.731775 | − | 0.681546i | \(-0.761308\pi\) |
−0.224349 | − | 0.974509i | \(-0.572026\pi\) | |||||||
\(878\) | 1.40759e12 | − | 2.43801e12i | 0.0799374 | − | 0.138456i | ||||
\(879\) | −1.08906e13 | − | 1.88631e13i | −0.615322 | − | 1.06577i | ||||
\(880\) | −1.31611e12 | + | 2.27956e12i | −0.0739807 | + | 0.128138i | ||||
\(881\) | 3.16714e13 | 1.77123 | 0.885617 | − | 0.464416i | \(-0.153736\pi\) | ||||
0.885617 | + | 0.464416i | \(0.153736\pi\) | |||||||
\(882\) | 4.80874e12 | 0.267561 | ||||||||
\(883\) | −3.40712e12 | + | 5.90130e12i | −0.188610 | + | 0.326682i | −0.944787 | − | 0.327685i | \(-0.893731\pi\) |
0.756177 | + | 0.654367i | \(0.227065\pi\) | |||||||
\(884\) | 2.06517e12 | − | 3.57698e12i | 0.113742 | − | 0.197007i | ||||
\(885\) | −7.63447e12 | −0.418344 | ||||||||
\(886\) | 1.22652e13 | 0.668687 | ||||||||
\(887\) | −7.17650e12 | + | 1.24301e13i | −0.389275 | + | 0.674244i | −0.992352 | − | 0.123439i | \(-0.960608\pi\) |
0.603077 | + | 0.797683i | \(0.293941\pi\) | |||||||
\(888\) | −2.03624e12 | − | 3.52686e12i | −0.109893 | − | 0.190340i | ||||
\(889\) | −2.57574e12 | + | 4.46132e12i | −0.138307 | + | 0.239555i | ||||
\(890\) | 1.09595e13 | + | 1.89825e13i | 0.585514 | + | 1.01414i | ||||
\(891\) | 5.60180e12 | + | 9.70261e12i | 0.297768 | + | 0.515749i | ||||
\(892\) | 9.95246e12 | 0.526367 | ||||||||
\(893\) | 2.50473e13 | − | 2.85070e12i | 1.31804 | − | 0.150010i | ||||
\(894\) | 1.24826e13 | 0.653559 | ||||||||
\(895\) | −9.95734e12 | − | 1.72466e13i | −0.518728 | − | 0.898463i | ||||
\(896\) | −3.85868e11 | − | 6.68343e11i | −0.0200010 | − | 0.0346428i | ||||
\(897\) | −6.55387e12 | + | 1.13516e13i | −0.338012 | + | 0.585453i | ||||
\(898\) | −6.76901e12 | − | 1.17243e13i | −0.347362 | − | 0.601648i | ||||
\(899\) | 2.20893e12 | − | 3.82598e12i | 0.112788 | − | 0.195355i | ||||
\(900\) | 2.53710e12 | 0.128898 | ||||||||
\(901\) | 1.17651e13 | 0.594750 | ||||||||
\(902\) | −3.67700e12 | + | 6.36875e12i | −0.184954 | + | 0.320350i | ||||
\(903\) | −7.89882e12 | + | 1.36812e13i | −0.395337 | + | 0.684743i | ||||
\(904\) | −1.66251e12 | −0.0827954 | ||||||||
\(905\) | 3.62711e13 | 1.79739 | ||||||||
\(906\) | 1.17734e13 | − | 2.03921e13i | 0.580528 | − | 1.00550i | ||||
\(907\) | 7.39395e12 | + | 1.28067e13i | 0.362780 | + | 0.628354i | 0.988417 | − | 0.151761i | \(-0.0484943\pi\) |
−0.625637 | + | 0.780114i | \(0.715161\pi\) | |||||||
\(908\) | 7.54070e12 | − | 1.30609e13i | 0.368150 | − | 0.637655i | ||||
\(909\) | −9.20324e12 | − | 1.59405e13i | −0.447099 | − | 0.774397i | ||||
\(910\) | −3.81838e12 | − | 6.61362e12i | −0.184583 | − | 0.319708i | ||||
\(911\) | 3.00970e13 | 1.44774 | 0.723870 | − | 0.689936i | \(-0.242361\pi\) | ||||
0.723870 | + | 0.689936i | \(0.242361\pi\) | |||||||
\(912\) | −6.30440e12 | + | 7.17519e11i | −0.301764 | + | 0.0343445i | ||||
\(913\) | −1.08951e13 | −0.518936 | ||||||||
\(914\) | 9.27669e12 | + | 1.60677e13i | 0.439678 | + | 0.761545i | ||||
\(915\) | −1.13114e13 | − | 1.95919e13i | −0.533482 | − | 0.924019i | ||||
\(916\) | −3.89141e12 | + | 6.74012e12i | −0.182632 | + | 0.316328i | ||||
\(917\) | −1.27908e11 | − | 2.21544e11i | −0.00597361 | − | 0.0103466i | ||||
\(918\) | 2.37225e12 | − | 4.10885e12i | 0.110247 | − | 0.190954i | ||||
\(919\) | 5.79846e12 | 0.268159 | 0.134080 | − | 0.990971i | \(-0.457192\pi\) | ||||
0.134080 | + | 0.990971i | \(0.457192\pi\) | |||||||
\(920\) | −5.71355e12 | −0.262943 | ||||||||
\(921\) | −1.49613e13 | + | 2.59137e13i | −0.685173 | + | 1.18675i | ||||
\(922\) | −2.83151e12 | + | 4.90433e12i | −0.129042 | + | 0.223507i | ||||
\(923\) | 4.67469e12 | 0.212005 | ||||||||
\(924\) | −2.90338e12 | −0.131033 | ||||||||
\(925\) | 3.08628e12 | − | 5.34559e12i | 0.138611 | − | 0.240081i | ||||
\(926\) | −1.19239e13 | − | 2.06528e13i | −0.532929 | − | 0.923060i | ||||
\(927\) | 9.45688e12 | − | 1.63798e13i | 0.420619 | − | 0.728534i | ||||
\(928\) | 5.20348e11 | + | 9.01270e11i | 0.0230318 | + | 0.0398923i | ||||
\(929\) | 1.40093e13 | + | 2.42649e13i | 0.617087 | + | 1.06883i | 0.990014 | + | 0.140966i | \(0.0450208\pi\) |
−0.372927 | + | 0.927861i | \(0.621646\pi\) | |||||||
\(930\) | 2.10643e13 | 0.923367 | ||||||||
\(931\) | −1.08406e13 | − | 1.46540e13i | −0.472913 | − | 0.639267i | ||||
\(932\) | −8.89259e11 | −0.0386062 | ||||||||
\(933\) | −1.31843e13 | − | 2.28359e13i | −0.569627 | − | 0.986622i | ||||
\(934\) | 3.45115e12 | + | 5.97757e12i | 0.148389 | + | 0.257018i | ||||
\(935\) | 3.38664e12 | − | 5.86583e12i | 0.144916 | − | 0.251002i | ||||
\(936\) | 1.83519e12 | + | 3.17864e12i | 0.0781519 | + | 0.135363i | ||||
\(937\) | 1.93766e13 | − | 3.35612e13i | 0.821200 | − | 1.42236i | −0.0835894 | − | 0.996500i | \(-0.526638\pi\) |
0.904789 | − | 0.425860i | \(-0.140028\pi\) | |||||||
\(938\) | 1.64607e12 | 0.0694279 | ||||||||
\(939\) | −5.01389e13 | −2.10465 | ||||||||
\(940\) | 9.85707e12 | − | 1.70729e13i | 0.411787 | − | 0.713236i | ||||
\(941\) | −9.92646e12 | + | 1.71931e13i | −0.412706 | + | 0.714828i | −0.995185 | − | 0.0980179i | \(-0.968750\pi\) |
0.582478 | + | 0.812846i | \(0.302083\pi\) | |||||||
\(942\) | −2.90035e13 | −1.20011 | ||||||||
\(943\) | −1.59628e13 | −0.657365 | ||||||||
\(944\) | 8.45841e11 | − | 1.46504e12i | 0.0346669 | − | 0.0600448i | ||||
\(945\) | −4.38615e12 | − | 7.59704e12i | −0.178912 | − | 0.309885i | ||||
\(946\) | −5.96972e12 | + | 1.03399e13i | −0.242350 | + | 0.419763i | ||||
\(947\) | −8.44863e12 | − | 1.46335e13i | −0.341359 | − | 0.591251i | 0.643326 | − | 0.765592i | \(-0.277554\pi\) |
−0.984685 | + | 0.174341i | \(0.944221\pi\) | |||||||
\(948\) | −9.53950e12 | − | 1.65229e13i | −0.383608 | − | 0.664429i | ||||
\(949\) | −1.42234e13 | −0.569255 | ||||||||
\(950\) | −5.71955e12 | − | 7.73149e12i | −0.227827 | − | 0.307969i | ||||
\(951\) | 5.50771e12 | 0.218353 | ||||||||
\(952\) | 9.92926e11 | + | 1.71980e12i | 0.0391788 | + | 0.0678596i | ||||
\(953\) | 6.90013e12 | + | 1.19514e13i | 0.270981 | + | 0.469353i | 0.969113 | − | 0.246616i | \(-0.0793186\pi\) |
−0.698132 | + | 0.715969i | \(0.745985\pi\) | |||||||
\(954\) | −5.22747e12 | + | 9.05425e12i | −0.204326 | + | 0.353903i | ||||
\(955\) | −2.35566e13 | − | 4.08013e13i | −0.916427 | − | 1.58730i | ||||
\(956\) | −8.96685e12 | + | 1.55310e13i | −0.347200 | + | 0.601368i | ||||
\(957\) | 3.91525e12 | 0.150888 | ||||||||
\(958\) | 1.63206e12 | 0.0626026 | ||||||||
\(959\) | 1.41815e12 | − | 2.45631e12i | 0.0541426 | − | 0.0937778i | ||||
\(960\) | −2.48102e12 | + | 4.29725e12i | −0.0942778 | + | 0.163294i | ||||
\(961\) | −6.62548e12 | −0.250589 | ||||||||
\(962\) | 8.92972e12 | 0.336163 | ||||||||
\(963\) | 1.01783e13 | − | 1.76293e13i | 0.381378 | − | 0.660566i | ||||
\(964\) | −3.87807e12 | − | 6.71702e12i | −0.144634 | − | 0.250513i | ||||
\(965\) | 2.98057e13 | − | 5.16249e13i | 1.10644 | − | 1.91640i | ||||
\(966\) | −3.15108e12 | − | 5.45783e12i | −0.116429 | − | 0.201661i | ||||
\(967\) | 2.14519e13 | + | 3.71557e13i | 0.788943 | + | 1.36649i | 0.926615 | + | 0.376012i | \(0.122705\pi\) |
−0.137672 | + | 0.990478i | \(0.543962\pi\) | |||||||
\(968\) | 7.46386e12 | 0.273227 | ||||||||
\(969\) | 1.62227e13 | − | 1.84634e12i | 0.591105 | − | 0.0672752i | ||||
\(970\) | 6.18196e12 | 0.224209 | ||||||||
\(971\) | 1.08228e13 | + | 1.87456e13i | 0.390709 | + | 0.676727i | 0.992543 | − | 0.121894i | \(-0.0388967\pi\) |
−0.601835 | + | 0.798621i | \(0.705563\pi\) | |||||||
\(972\) | 6.12998e12 | + | 1.06174e13i | 0.220273 | + | 0.381524i | ||||
\(973\) | −2.99351e12 | + | 5.18491e12i | −0.107071 | + | 0.185453i | ||||
\(974\) | −8.15082e12 | − | 1.41176e13i | −0.290192 | − | 0.502628i | ||||
\(975\) | −8.62698e12 | + | 1.49424e13i | −0.305730 | + | 0.529540i | ||||
\(976\) | 5.01285e12 | 0.176832 | ||||||||
\(977\) | 2.57363e13 | 0.903692 | 0.451846 | − | 0.892096i | \(-0.350766\pi\) | ||||
0.451846 | + | 0.892096i | \(0.350766\pi\) | |||||||
\(978\) | −4.07789e12 | + | 7.06312e12i | −0.142532 | + | 0.246872i | ||||
\(979\) | −9.13623e12 | + | 1.58244e13i | −0.317867 | + | 0.550561i | ||||
\(980\) | −1.42548e13 | −0.493677 | ||||||||
\(981\) | −3.62257e12 | −0.124884 | ||||||||
\(982\) | 7.87910e12 | − | 1.36470e13i | 0.270380 | − | 0.468313i | ||||
\(983\) | 2.09067e13 | + | 3.62114e13i | 0.714158 | + | 1.23696i | 0.963283 | + | 0.268486i | \(0.0865235\pi\) |
−0.249126 | + | 0.968471i | \(0.580143\pi\) | |||||||
\(984\) | −6.93159e12 | + | 1.20059e13i | −0.235698 | + | 0.408240i | ||||
\(985\) | 3.30902e13 | + | 5.73139e13i | 1.12005 | + | 1.93998i | ||||
\(986\) | −1.33898e12 | − | 2.31917e12i | −0.0451156 | − | 0.0781424i | ||||
\(987\) | 2.17451e13 | 0.729346 | ||||||||
\(988\) | 5.54931e12 | − | 1.27583e13i | 0.185282 | − | 0.425978i | ||||
\(989\) | −2.59161e13 | −0.861363 | ||||||||
\(990\) | 3.00950e12 | + | 5.21261e12i | 0.0995718 | + | 0.172463i | ||||
\(991\) | 1.09738e13 | + | 1.90072e13i | 0.361431 | + | 0.626017i | 0.988197 | − | 0.153191i | \(-0.0489549\pi\) |
−0.626765 | + | 0.779208i | \(0.715622\pi\) | |||||||
\(992\) | −2.33377e12 | + | 4.04220e12i | −0.0765165 | + | 0.132530i | ||||
\(993\) | 2.55828e13 | + | 4.43107e13i | 0.834981 | + | 1.44623i | ||||
\(994\) | −1.12379e12 | + | 1.94646e12i | −0.0365129 | + | 0.0632422i | ||||
\(995\) | −3.90024e13 | −1.26150 | ||||||||
\(996\) | −2.05386e13 | −0.661309 | ||||||||
\(997\) | −8.71186e12 | + | 1.50894e13i | −0.279243 | + | 0.483663i | −0.971197 | − | 0.238279i | \(-0.923417\pi\) |
0.691954 | + | 0.721942i | \(0.256750\pi\) | |||||||
\(998\) | −1.42821e13 | + | 2.47373e13i | −0.455726 | + | 0.789341i | ||||
\(999\) | 1.02575e13 | 0.325835 |
(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 | 38.10.c.a.7.2 | ✓ | 14 | |
19.11 | even | 3 | inner | 38.10.c.a.11.2 | yes | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.c.a.7.2 | ✓ | 14 | 1.1 | even | 1 | trivial | |
38.10.c.a.11.2 | yes | 14 | 19.11 | even | 3 | inner |