Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(68,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.r (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.22 | ||
Character | \(\chi\) | \(=\) | 273.269 |
Dual form | 273.2.r.b.68.11 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.05456i | 0.745690i | 0.927894 | + | 0.372845i | \(0.121618\pi\) | ||||
−0.927894 | + | 0.372845i | \(0.878382\pi\) | |||||||
\(3\) | 1.46610 | + | 0.922247i | 0.846455 | + | 0.532460i | ||||
\(4\) | 0.887893 | 0.443947 | ||||||||
\(5\) | −0.000964697 | − | 0.00167090i | −0.000431425 | − | 0.000747251i | 0.865810 | − | 0.500374i | \(-0.166804\pi\) |
−0.866241 | + | 0.499626i | \(0.833471\pi\) | |||||||
\(6\) | −0.972570 | + | 1.54610i | −0.397050 | + | 0.631193i | ||||
\(7\) | −2.64511 | − | 0.0584461i | −0.999756 | − | 0.0220905i | ||||
\(8\) | 3.04547i | 1.07674i | ||||||||
\(9\) | 1.29892 | + | 2.70422i | 0.432973 | + | 0.901407i | ||||
\(10\) | 0.00176208 | − | 0.00101734i | 0.000557217 | − | 0.000321710i | ||||
\(11\) | −2.16237 | + | 1.24844i | −0.651979 | + | 0.376420i | −0.789214 | − | 0.614118i | \(-0.789512\pi\) |
0.137235 | + | 0.990539i | \(0.456178\pi\) | |||||||
\(12\) | 1.30174 | + | 0.818857i | 0.375781 | + | 0.236384i | ||||
\(13\) | 0.922193 | − | 3.48562i | 0.255770 | − | 0.966738i | ||||
\(14\) | 0.0616352 | − | 2.78943i | 0.0164727 | − | 0.745508i | ||||
\(15\) | 0.000126641 | − | 0.00333941i | 3.26987e−5 | − | 0.000862231i | ||||
\(16\) | −1.43586 | −0.358965 | ||||||||
\(17\) | 4.17524 | 1.01264 | 0.506322 | − | 0.862345i | \(-0.331005\pi\) | ||||
0.506322 | + | 0.862345i | \(0.331005\pi\) | |||||||
\(18\) | −2.85178 | + | 1.36979i | −0.672170 | + | 0.322864i | ||||
\(19\) | 4.64914 | + | 2.68418i | 1.06659 | + | 0.615794i | 0.927247 | − | 0.374450i | \(-0.122169\pi\) |
0.139340 | + | 0.990245i | \(0.455502\pi\) | |||||||
\(20\) | −0.000856548 | − | 0.00148358i | −0.000191530 | − | 0.000331740i | ||||
\(21\) | −3.82410 | − | 2.52513i | −0.834486 | − | 0.551029i | ||||
\(22\) | −1.31657 | − | 2.28036i | −0.280693 | − | 0.486174i | ||||
\(23\) | − | 4.87067i | − | 1.01561i | −0.861473 | − | 0.507803i | \(-0.830458\pi\) | ||
0.861473 | − | 0.507803i | \(-0.169542\pi\) | |||||||
\(24\) | −2.80868 | + | 4.46497i | −0.573319 | + | 0.911409i | ||||
\(25\) | 2.50000 | − | 4.33012i | 0.500000 | − | 0.866025i | ||||
\(26\) | 3.67581 | + | 0.972512i | 0.720886 | + | 0.190725i | ||||
\(27\) | −0.589610 | + | 5.16259i | −0.113470 | + | 0.993541i | ||||
\(28\) | −2.34857 | − | 0.0518939i | −0.443838 | − | 0.00980702i | ||||
\(29\) | −7.57023 | − | 4.37067i | −1.40576 | − | 0.811614i | −0.410781 | − | 0.911734i | \(-0.634744\pi\) |
−0.994975 | + | 0.100120i | \(0.968077\pi\) | |||||||
\(30\) | 0.00352162 | 0.000133551i | 0.000642957 | 2.43831e-5i | ||||||
\(31\) | −6.57778 | − | 3.79768i | −1.18140 | − | 0.682084i | −0.225065 | − | 0.974344i | \(-0.572260\pi\) |
−0.956339 | + | 0.292260i | \(0.905593\pi\) | |||||||
\(32\) | 4.57673i | 0.809060i | ||||||||
\(33\) | −4.32163 | − | 0.163891i | −0.752300 | − | 0.0285297i | ||||
\(34\) | 4.40306i | 0.755118i | ||||||||
\(35\) | 0.00245407 | + | 0.00447610i | 0.000414813 | + | 0.000756599i | ||||
\(36\) | 1.15330 | + | 2.40106i | 0.192217 | + | 0.400177i | ||||
\(37\) | 3.65572 | 0.600996 | 0.300498 | − | 0.953782i | \(-0.402847\pi\) | ||||
0.300498 | + | 0.953782i | \(0.402847\pi\) | |||||||
\(38\) | −2.83065 | + | 4.90282i | −0.459191 | + | 0.795343i | ||||
\(39\) | 4.56664 | − | 4.25979i | 0.731247 | − | 0.682113i | ||||
\(40\) | 0.00508869 | − | 0.00293796i | 0.000804592 | − | 0.000464531i | ||||
\(41\) | 1.83038 | − | 3.17031i | 0.285857 | − | 0.495119i | −0.686960 | − | 0.726696i | \(-0.741055\pi\) |
0.972817 | + | 0.231577i | \(0.0743884\pi\) | |||||||
\(42\) | 2.66291 | − | 4.03276i | 0.410896 | − | 0.622268i | ||||
\(43\) | 1.32938 | + | 2.30256i | 0.202729 | + | 0.351137i | 0.949407 | − | 0.314049i | \(-0.101686\pi\) |
−0.746678 | + | 0.665186i | \(0.768352\pi\) | |||||||
\(44\) | −1.91995 | + | 1.10849i | −0.289444 | + | 0.167110i | ||||
\(45\) | 0.00326543 | − | 0.00477912i | 0.000486781 | − | 0.000712429i | ||||
\(46\) | 5.13644 | 0.757327 | ||||||||
\(47\) | 1.79190 | + | 3.10366i | 0.261375 | + | 0.452715i | 0.966608 | − | 0.256261i | \(-0.0824907\pi\) |
−0.705232 | + | 0.708976i | \(0.749157\pi\) | |||||||
\(48\) | −2.10512 | − | 1.32422i | −0.303848 | − | 0.191134i | ||||
\(49\) | 6.99317 | + | 0.309192i | 0.999024 | + | 0.0441703i | ||||
\(50\) | 4.56640 | + | 2.63641i | 0.645786 | + | 0.372845i | ||||
\(51\) | 6.12133 | + | 3.85060i | 0.857158 | + | 0.539192i | ||||
\(52\) | 0.818809 | − | 3.09486i | 0.113548 | − | 0.429180i | ||||
\(53\) | −12.3735 | − | 7.14382i | −1.69962 | − | 0.981279i | −0.946108 | − | 0.323850i | \(-0.895023\pi\) |
−0.753516 | − | 0.657429i | \(-0.771644\pi\) | |||||||
\(54\) | −5.44429 | − | 0.621782i | −0.740874 | − | 0.0846138i | ||||
\(55\) | 0.00417206 | + | 0.00240874i | 0.000562561 | + | 0.000324795i | ||||
\(56\) | 0.177996 | − | 8.05559i | 0.0237857 | − | 1.07647i | ||||
\(57\) | 4.34064 | + | 8.22295i | 0.574932 | + | 1.08916i | ||||
\(58\) | 4.60916 | − | 7.98330i | 0.605212 | − | 1.04826i | ||||
\(59\) | −5.23130 | −0.681057 | −0.340529 | − | 0.940234i | \(-0.610606\pi\) | ||||
−0.340529 | + | 0.940234i | \(0.610606\pi\) | |||||||
\(60\) | 0.000112444 | − | 0.00296504i | 1.45165e−5 | − | 0.000382785i | ||||
\(61\) | 6.56379 | + | 3.78960i | 0.840407 | + | 0.485209i | 0.857402 | − | 0.514647i | \(-0.172077\pi\) |
−0.0169958 | + | 0.999856i | \(0.505410\pi\) | |||||||
\(62\) | 4.00490 | − | 6.93670i | 0.508623 | − | 0.880961i | ||||
\(63\) | −3.27773 | − | 7.22887i | −0.412955 | − | 0.910751i | ||||
\(64\) | −7.69818 | −0.962273 | ||||||||
\(65\) | −0.00671378 | + | 0.00182167i | −0.000832741 | + | 0.000225951i | ||||
\(66\) | 0.172833 | − | 4.55744i | 0.0212743 | − | 0.560982i | ||||
\(67\) | −7.12713 | − | 12.3445i | −0.870717 | − | 1.50813i | −0.861256 | − | 0.508172i | \(-0.830322\pi\) |
−0.00946155 | − | 0.999955i | \(-0.503012\pi\) | |||||||
\(68\) | 3.70716 | 0.449560 | ||||||||
\(69\) | 4.49197 | − | 7.14091i | 0.540769 | − | 0.859665i | ||||
\(70\) | −0.00472034 | + | 0.00258797i | −0.000564188 | + | 0.000309322i | ||||
\(71\) | 1.24050 | − | 0.716205i | 0.147221 | − | 0.0849979i | −0.424580 | − | 0.905390i | \(-0.639578\pi\) |
0.571801 | + | 0.820392i | \(0.306245\pi\) | |||||||
\(72\) | −8.23562 | + | 3.95582i | −0.970577 | + | 0.466198i | ||||
\(73\) | 1.61067 | + | 0.929921i | 0.188515 | + | 0.108839i | 0.591287 | − | 0.806461i | \(-0.298620\pi\) |
−0.402772 | + | 0.915300i | \(0.631953\pi\) | |||||||
\(74\) | 3.85519i | 0.448157i | ||||||||
\(75\) | 7.65870 | − | 4.04279i | 0.884351 | − | 0.466822i | ||||
\(76\) | 4.12794 | + | 2.38327i | 0.473508 | + | 0.273380i | ||||
\(77\) | 5.79266 | − | 3.17589i | 0.660135 | − | 0.361926i | ||||
\(78\) | 4.49223 | + | 4.81581i | 0.508644 | + | 0.545284i | ||||
\(79\) | 3.64483 | + | 6.31302i | 0.410075 | + | 0.710271i | 0.994898 | − | 0.100891i | \(-0.0321692\pi\) |
−0.584823 | + | 0.811161i | \(0.698836\pi\) | |||||||
\(80\) | 0.00138517 | + | 0.00239918i | 0.000154867 | + | 0.000268237i | ||||
\(81\) | −5.62562 | + | 7.02513i | −0.625069 | + | 0.780570i | ||||
\(82\) | 3.34329 | + | 1.93025i | 0.369205 | + | 0.213161i | ||||
\(83\) | 10.4089 | 1.14253 | 0.571263 | − | 0.820767i | \(-0.306454\pi\) | ||||
0.571263 | + | 0.820767i | \(0.306454\pi\) | |||||||
\(84\) | −3.39539 | − | 2.24205i | −0.370467 | − | 0.244627i | ||||
\(85\) | −0.00402784 | − | 0.00697642i | −0.000436880 | − | 0.000756699i | ||||
\(86\) | −2.42820 | + | 1.40192i | −0.261839 | + | 0.151173i | ||||
\(87\) | −7.06790 | − | 13.3895i | −0.757758 | − | 1.43550i | ||||
\(88\) | −3.80210 | − | 6.58543i | −0.405305 | − | 0.702009i | ||||
\(89\) | −5.40380 | −0.572801 | −0.286401 | − | 0.958110i | \(-0.592459\pi\) | ||||
−0.286401 | + | 0.958110i | \(0.592459\pi\) | |||||||
\(90\) | 0.00503989 | + | 0.00344361i | 0.000531251 | + | 0.000362988i | ||||
\(91\) | −2.64302 | + | 9.16594i | −0.277064 | + | 0.960852i | ||||
\(92\) | − | 4.32464i | − | 0.450875i | ||||||
\(93\) | −6.14130 | − | 11.6341i | −0.636824 | − | 1.20640i | ||||
\(94\) | −3.27301 | + | 1.88967i | −0.337585 | + | 0.194905i | ||||
\(95\) | − | 0.0103577i | − | 0.00106268i | ||||||
\(96\) | −4.22088 | + | 6.70997i | −0.430792 | + | 0.684833i | ||||
\(97\) | 2.07015 | − | 1.19520i | 0.210192 | − | 0.121354i | −0.391209 | − | 0.920302i | \(-0.627943\pi\) |
0.601401 | + | 0.798948i | \(0.294610\pi\) | |||||||
\(98\) | −0.326063 | + | 7.37475i | −0.0329373 | + | 0.744962i | ||||
\(99\) | −6.18481 | − | 4.22589i | −0.621597 | − | 0.424718i | ||||
\(100\) | 2.21973 | − | 3.84469i | 0.221973 | − | 0.384469i | ||||
\(101\) | 9.02995 | + | 15.6403i | 0.898514 | + | 1.55627i | 0.829395 | + | 0.558663i | \(0.188685\pi\) |
0.0691187 | + | 0.997608i | \(0.477981\pi\) | |||||||
\(102\) | −4.06071 | + | 6.45534i | −0.402070 | + | 0.639174i | ||||
\(103\) | −8.45144 | + | 4.87944i | −0.832745 | + | 0.480786i | −0.854792 | − | 0.518971i | \(-0.826315\pi\) |
0.0220466 | + | 0.999757i | \(0.492982\pi\) | |||||||
\(104\) | 10.6154 | + | 2.80851i | 1.04092 | + | 0.275397i | ||||
\(105\) | −0.000530155 | 0.00882568i | −5.17378e−5 | 0.000861298i | ||||||
\(106\) | 7.53362 | − | 13.0486i | 0.731730 | − | 1.26739i | ||||
\(107\) | 5.46272i | 0.528101i | 0.964509 | + | 0.264051i | \(0.0850586\pi\) | ||||
−0.964509 | + | 0.264051i | \(0.914941\pi\) | |||||||
\(108\) | −0.523511 | + | 4.58383i | −0.0503748 | + | 0.441079i | ||||
\(109\) | −3.68535 | + | 6.38321i | −0.352993 | + | 0.611401i | −0.986772 | − | 0.162113i | \(-0.948169\pi\) |
0.633780 | + | 0.773514i | \(0.281503\pi\) | |||||||
\(110\) | −0.00254017 | + | 0.00439971i | −0.000242196 | + | 0.000419496i | ||||
\(111\) | 5.35966 | + | 3.37147i | 0.508716 | + | 0.320006i | ||||
\(112\) | 3.79800 | + | 0.0839203i | 0.358877 | + | 0.00792972i | ||||
\(113\) | 0.390686 | − | 0.225562i | 0.0367526 | − | 0.0212191i | −0.481511 | − | 0.876440i | \(-0.659912\pi\) |
0.518264 | + | 0.855221i | \(0.326579\pi\) | |||||||
\(114\) | −8.67164 | + | 4.57749i | −0.812173 | + | 0.428721i | ||||
\(115\) | −0.00813843 | + | 0.00469872i | −0.000758912 | + | 0.000438158i | ||||
\(116\) | −6.72156 | − | 3.88069i | −0.624081 | − | 0.360313i | ||||
\(117\) | 10.6237 | − | 2.03373i | 0.982166 | − | 0.188018i | ||||
\(118\) | − | 5.51674i | − | 0.507857i | ||||||
\(119\) | −11.0439 | − | 0.244026i | −1.01240 | − | 0.0223698i | ||||
\(120\) | 0.0101701 | 0.000385682i | 0.000928396 | 3.52078e-5i | ||||||
\(121\) | −2.38277 | + | 4.12708i | −0.216616 | + | 0.375189i | ||||
\(122\) | −3.99638 | + | 6.92194i | −0.361815 | + | 0.626683i | ||||
\(123\) | 5.60733 | − | 2.95994i | 0.505596 | − | 0.266889i | ||||
\(124\) | −5.84037 | − | 3.37194i | −0.524481 | − | 0.302809i | ||||
\(125\) | −0.0192939 | −0.00172570 | ||||||||
\(126\) | 7.62331 | − | 3.45658i | 0.679138 | − | 0.307936i | ||||
\(127\) | −4.71924 | + | 8.17397i | −0.418765 | + | 0.725322i | −0.995816 | − | 0.0913863i | \(-0.970870\pi\) |
0.577051 | + | 0.816708i | \(0.304204\pi\) | |||||||
\(128\) | 1.03524i | 0.0915032i | ||||||||
\(129\) | −0.174516 | + | 4.60181i | −0.0153653 | + | 0.405167i | ||||
\(130\) | −0.00192107 | − | 0.00708011i | −0.000168489 | − | 0.000620967i | ||||
\(131\) | −3.11100 | − | 5.38841i | −0.271809 | − | 0.470788i | 0.697516 | − | 0.716569i | \(-0.254289\pi\) |
−0.969325 | + | 0.245782i | \(0.920955\pi\) | |||||||
\(132\) | −3.83715 | − | 0.145517i | −0.333981 | − | 0.0126657i | ||||
\(133\) | −12.1406 | − | 7.37168i | −1.05272 | − | 0.639205i | ||||
\(134\) | 13.0181 | − | 7.51602i | 1.12459 | − | 0.649285i | ||||
\(135\) | 0.00919499 | − | 0.00399515i | 0.000791379 | − | 0.000343848i | ||||
\(136\) | 12.7156i | 1.09035i | ||||||||
\(137\) | − | 6.15626i | − | 0.525965i | −0.964801 | − | 0.262983i | \(-0.915294\pi\) | ||
0.964801 | − | 0.262983i | \(-0.0847062\pi\) | |||||||
\(138\) | 7.53055 | + | 4.73707i | 0.641043 | + | 0.403246i | ||||
\(139\) | −10.6666 | + | 6.15838i | −0.904731 | + | 0.522347i | −0.878732 | − | 0.477315i | \(-0.841610\pi\) |
−0.0259992 | + | 0.999662i | \(0.508277\pi\) | |||||||
\(140\) | 0.00217895 | + | 0.00397430i | 0.000184155 | + | 0.000335890i | ||||
\(141\) | −0.235233 | + | 6.20286i | −0.0198102 | + | 0.522375i | ||||
\(142\) | 0.755285 | + | 1.30819i | 0.0633821 | + | 0.109781i | ||||
\(143\) | 2.35748 | + | 8.68851i | 0.197143 | + | 0.726570i | ||||
\(144\) | −1.86506 | − | 3.88288i | −0.155422 | − | 0.323573i | ||||
\(145\) | 0.0168655i | 0.00140060i | ||||||||
\(146\) | −0.980661 | + | 1.69856i | −0.0811601 | + | 0.140573i | ||||
\(147\) | 9.96756 | + | 6.90274i | 0.822110 | + | 0.569328i | ||||
\(148\) | 3.24589 | 0.266810 | ||||||||
\(149\) | 6.20222 | + | 3.58086i | 0.508106 | + | 0.293355i | 0.732055 | − | 0.681246i | \(-0.238562\pi\) |
−0.223949 | + | 0.974601i | \(0.571895\pi\) | |||||||
\(150\) | 4.26339 | + | 8.07660i | 0.348104 | + | 0.659451i | ||||
\(151\) | −8.14880 | + | 14.1141i | −0.663140 | + | 1.14859i | 0.316646 | + | 0.948544i | \(0.397443\pi\) |
−0.979786 | + | 0.200049i | \(0.935890\pi\) | |||||||
\(152\) | −8.17460 | + | 14.1588i | −0.663048 | + | 1.14843i | ||||
\(153\) | 5.42330 | + | 11.2908i | 0.438447 | + | 0.912804i | ||||
\(154\) | 3.34918 | + | 6.10874i | 0.269884 | + | 0.492256i | ||||
\(155\) | 0.0146545i | 0.00117707i | ||||||||
\(156\) | 4.05469 | − | 3.78224i | 0.324635 | − | 0.302822i | ||||
\(157\) | 4.07713 | + | 2.35393i | 0.325391 | + | 0.187864i | 0.653793 | − | 0.756674i | \(-0.273177\pi\) |
−0.328402 | + | 0.944538i | \(0.606510\pi\) | |||||||
\(158\) | −6.65749 | + | 3.84370i | −0.529642 | + | 0.305789i | ||||
\(159\) | −11.5524 | − | 21.8850i | −0.916165 | − | 1.73559i | ||||
\(160\) | 0.00764728 | − | 0.00441516i | 0.000604571 | − | 0.000349049i | ||||
\(161\) | −0.284672 | + | 12.8834i | −0.0224353 | + | 1.01536i | ||||
\(162\) | −7.40845 | − | 5.93258i | −0.582063 | − | 0.466107i | ||||
\(163\) | 2.10316 | − | 3.64278i | 0.164732 | − | 0.285324i | −0.771828 | − | 0.635831i | \(-0.780657\pi\) |
0.936560 | + | 0.350507i | \(0.113991\pi\) | |||||||
\(164\) | 1.62518 | − | 2.81490i | 0.126905 | − | 0.219806i | ||||
\(165\) | 0.00389522 | + | 0.00737914i | 0.000303242 | + | 0.000574465i | ||||
\(166\) | 10.9769i | 0.851970i | ||||||||
\(167\) | 7.24993 | − | 12.5573i | 0.561017 | − | 0.971709i | −0.436391 | − | 0.899757i | \(-0.643744\pi\) |
0.997408 | − | 0.0719525i | \(-0.0229230\pi\) | |||||||
\(168\) | 7.69021 | − | 11.6462i | 0.593312 | − | 0.898522i | ||||
\(169\) | −11.2991 | − | 6.42883i | −0.869163 | − | 0.494526i | ||||
\(170\) | 0.00735708 | − | 0.00424761i | 0.000564263 | − | 0.000325777i | ||||
\(171\) | −1.21976 | + | 16.0588i | −0.0932776 | + | 1.22805i | ||||
\(172\) | 1.18035 | + | 2.04443i | 0.0900009 | + | 0.155886i | ||||
\(173\) | 7.84836 | − | 13.5938i | 0.596700 | − | 1.03351i | −0.396605 | − | 0.917989i | \(-0.629812\pi\) |
0.993305 | − | 0.115525i | \(-0.0368550\pi\) | |||||||
\(174\) | 14.1201 | − | 7.45356i | 1.07044 | − | 0.565053i | ||||
\(175\) | −6.86584 | + | 11.3075i | −0.519009 | + | 0.854768i | ||||
\(176\) | 3.10486 | − | 1.79259i | 0.234037 | − | 0.135122i | ||||
\(177\) | −7.66963 | − | 4.82455i | −0.576484 | − | 0.362636i | ||||
\(178\) | − | 5.69865i | − | 0.427132i | ||||||
\(179\) | −5.59852 | + | 3.23231i | −0.418453 | + | 0.241594i | −0.694415 | − | 0.719575i | \(-0.744337\pi\) |
0.275962 | + | 0.961168i | \(0.411004\pi\) | |||||||
\(180\) | 0.00289935 | − | 0.00424335i | 0.000216105 | − | 0.000316281i | ||||
\(181\) | 0.939369i | 0.0698227i | 0.999390 | + | 0.0349114i | \(0.0111149\pi\) | ||||
−0.999390 | + | 0.0349114i | \(0.988885\pi\) | |||||||
\(182\) | −9.66608 | − | 2.78723i | −0.716497 | − | 0.206604i | ||||
\(183\) | 6.12824 | + | 11.6094i | 0.453012 | + | 0.858190i | ||||
\(184\) | 14.8335 | 1.09354 | ||||||||
\(185\) | −0.00352666 | − | 0.00610835i | −0.000259285 | − | 0.000449095i | ||||
\(186\) | 12.2690 | − | 6.47640i | 0.899603 | − | 0.474873i | ||||
\(187\) | −9.02840 | + | 5.21255i | −0.660222 | + | 0.381179i | ||||
\(188\) | 1.59101 | + | 2.75572i | 0.116037 | + | 0.200981i | ||||
\(189\) | 1.86131 | − | 13.6211i | 0.135391 | − | 0.990792i | ||||
\(190\) | 0.0109229 | 0.000792428 | ||||||||
\(191\) | 4.65873 | + | 2.68972i | 0.337094 | + | 0.194621i | 0.658986 | − | 0.752155i | \(-0.270986\pi\) |
−0.321892 | + | 0.946776i | \(0.604319\pi\) | |||||||
\(192\) | −11.2863 | − | 7.09963i | −0.814521 | − | 0.512371i | ||||
\(193\) | −10.5713 | − | 18.3100i | −0.760938 | − | 1.31798i | −0.942368 | − | 0.334579i | \(-0.891406\pi\) |
0.181430 | − | 0.983404i | \(-0.441927\pi\) | |||||||
\(194\) | 1.26042 | + | 2.18311i | 0.0904928 | + | 0.156738i | ||||
\(195\) | −0.0115231 | − | 0.00352100i | −0.000825188 | − | 0.000252144i | ||||
\(196\) | 6.20919 | + | 0.274530i | 0.443513 | + | 0.0196093i | ||||
\(197\) | −22.4348 | − | 12.9527i | −1.59841 | − | 0.922843i | −0.991794 | − | 0.127848i | \(-0.959193\pi\) |
−0.606616 | − | 0.794995i | \(-0.707474\pi\) | |||||||
\(198\) | 4.45648 | − | 6.52228i | 0.316708 | − | 0.463519i | ||||
\(199\) | 2.76818i | 0.196231i | 0.995175 | + | 0.0981157i | \(0.0312815\pi\) | ||||
−0.995175 | + | 0.0981157i | \(0.968718\pi\) | |||||||
\(200\) | 13.1873 | + | 7.61367i | 0.932480 | + | 0.538368i | ||||
\(201\) | 0.935620 | − | 24.6714i | 0.0659935 | − | 1.74018i | ||||
\(202\) | −16.4937 | + | 9.52267i | −1.16050 | + | 0.670012i | ||||
\(203\) | 19.7686 | + | 12.0033i | 1.38748 | + | 0.842470i | ||||
\(204\) | 5.43509 | + | 3.41892i | 0.380532 | + | 0.239372i | ||||
\(205\) | −0.00706304 | −0.000493304 | ||||||||
\(206\) | −5.14569 | − | 8.91259i | −0.358517 | − | 0.620969i | ||||
\(207\) | 13.1714 | − | 6.32661i | 0.915474 | − | 0.439730i | ||||
\(208\) | −1.32414 | + | 5.00486i | −0.0918125 | + | 0.347025i | ||||
\(209\) | −13.4042 | −0.927189 | ||||||||
\(210\) | −0.00930725 | 0.000559083i | −0.000642261 | 3.85804e-5i | ||||||
\(211\) | −3.90647 | + | 6.76621i | −0.268933 | + | 0.465805i | −0.968586 | − | 0.248677i | \(-0.920004\pi\) |
0.699654 | + | 0.714482i | \(0.253338\pi\) | |||||||
\(212\) | −10.9863 | − | 6.34295i | −0.754543 | − | 0.435636i | ||||
\(213\) | 2.47923 | + | 0.0940204i | 0.169874 | + | 0.00644217i | ||||
\(214\) | −5.76080 | −0.393800 | ||||||||
\(215\) | 0.00256490 | − | 0.00444254i | 0.000174925 | − | 0.000302979i | ||||
\(216\) | −15.7225 | − | 1.79564i | −1.06978 | − | 0.122178i | ||||
\(217\) | 17.1770 | + | 10.4297i | 1.16605 | + | 0.708016i | ||||
\(218\) | −6.73151 | − | 3.88644i | −0.455916 | − | 0.263223i | ||||
\(219\) | 1.50379 | + | 2.84880i | 0.101617 | + | 0.192504i | ||||
\(220\) | 0.00370435 | + | 0.00213870i | 0.000249747 | + | 0.000144191i | ||||
\(221\) | 3.85037 | − | 14.5533i | 0.259004 | − | 0.978961i | ||||
\(222\) | −3.55544 | + | 5.65211i | −0.238625 | + | 0.379345i | ||||
\(223\) | 6.48830 | + | 3.74602i | 0.434489 | + | 0.250852i | 0.701257 | − | 0.712909i | \(-0.252623\pi\) |
−0.266768 | + | 0.963761i | \(0.585956\pi\) | |||||||
\(224\) | 0.267492 | − | 12.1059i | 0.0178726 | − | 0.808863i | ||||
\(225\) | 14.9569 | + | 1.13606i | 0.997127 | + | 0.0757376i | ||||
\(226\) | 0.237870 | + | 0.412003i | 0.0158229 | + | 0.0274061i | ||||
\(227\) | −8.54135 | −0.566909 | −0.283455 | − | 0.958986i | \(-0.591481\pi\) | ||||
−0.283455 | + | 0.958986i | \(0.591481\pi\) | |||||||
\(228\) | 3.85403 | + | 7.30111i | 0.255239 | + | 0.483528i | ||||
\(229\) | 8.92049 | − | 5.15025i | 0.589482 | − | 0.340338i | −0.175410 | − | 0.984495i | \(-0.556125\pi\) |
0.764893 | + | 0.644158i | \(0.222792\pi\) | |||||||
\(230\) | −0.00495511 | − | 0.00858250i | −0.000326730 | − | 0.000565913i | ||||
\(231\) | 11.4216 | + | 0.686090i | 0.751486 | + | 0.0451414i | ||||
\(232\) | 13.3108 | − | 23.0549i | 0.873894 | − | 1.51363i | ||||
\(233\) | 1.09700 | − | 0.633351i | 0.0718666 | − | 0.0414922i | −0.463636 | − | 0.886026i | \(-0.653456\pi\) |
0.535503 | + | 0.844534i | \(0.320122\pi\) | |||||||
\(234\) | 2.14470 | + | 11.2034i | 0.140203 | + | 0.732391i | ||||
\(235\) | 0.00345727 | − | 0.00598818i | 0.000225528 | − | 0.000390626i | ||||
\(236\) | −4.64484 | −0.302353 | ||||||||
\(237\) | −0.478477 | + | 12.6170i | −0.0310804 | + | 0.819561i | ||||
\(238\) | 0.257341 | − | 11.6466i | 0.0166810 | − | 0.754934i | ||||
\(239\) | 18.8399i | 1.21865i | 0.792921 | + | 0.609325i | \(0.208559\pi\) | ||||
−0.792921 | + | 0.609325i | \(0.791441\pi\) | |||||||
\(240\) | −0.000181839 | 0.00479492i | −1.17377e−5 | 0.000309511i | ||||||
\(241\) | − | 1.22332i | − | 0.0788012i | −0.999223 | − | 0.0394006i | \(-0.987455\pi\) | ||
0.999223 | − | 0.0394006i | \(-0.0125448\pi\) | |||||||
\(242\) | −4.35228 | − | 2.51279i | −0.279775 | − | 0.161528i | ||||
\(243\) | −14.7266 | + | 5.11136i | −0.944715 | + | 0.327894i | ||||
\(244\) | 5.82794 | + | 3.36476i | 0.373096 | + | 0.215407i | ||||
\(245\) | −0.00622966 | − | 0.0119832i | −0.000397998 | − | 0.000765578i | ||||
\(246\) | 3.12145 | + | 5.91329i | 0.199016 | + | 0.377018i | ||||
\(247\) | 13.6435 | − | 13.7298i | 0.868113 | − | 0.873608i | ||||
\(248\) | 11.5657 | − | 20.0324i | 0.734425 | − | 1.27206i | ||||
\(249\) | 15.2605 | + | 9.59959i | 0.967097 | + | 0.608349i | ||||
\(250\) | − | 0.0203467i | − | 0.00128684i | ||||||
\(251\) | 4.42278 | + | 7.66048i | 0.279163 | + | 0.483525i | 0.971177 | − | 0.238359i | \(-0.0766096\pi\) |
−0.692014 | + | 0.721884i | \(0.743276\pi\) | |||||||
\(252\) | −2.91027 | − | 6.41846i | −0.183330 | − | 0.404325i | ||||
\(253\) | 6.08077 | + | 10.5322i | 0.382294 | + | 0.662153i | ||||
\(254\) | −8.61998 | − | 4.97674i | −0.540865 | − | 0.312269i | ||||
\(255\) | 0.000528758 | − | 0.0139428i | 3.31121e−5 | − | 0.000873133i | ||||
\(256\) | −16.4881 | −1.03051 | ||||||||
\(257\) | 10.9439 | 0.682659 | 0.341329 | − | 0.939944i | \(-0.389123\pi\) | ||||
0.341329 | + | 0.939944i | \(0.389123\pi\) | |||||||
\(258\) | −4.85291 | − | 0.184038i | −0.302129 | − | 0.0114577i | ||||
\(259\) | −9.66976 | − | 0.213662i | −0.600849 | − | 0.0132763i | ||||
\(260\) | −0.00596112 | + | 0.00161745i | −0.000369693 | + | 0.000100310i | ||||
\(261\) | 1.98615 | − | 26.1487i | 0.122940 | − | 1.61857i | ||||
\(262\) | 5.68243 | − | 3.28075i | 0.351062 | − | 0.202686i | ||||
\(263\) | 11.0111 | − | 6.35726i | 0.678973 | − | 0.392005i | −0.120495 | − | 0.992714i | \(-0.538448\pi\) |
0.799468 | + | 0.600709i | \(0.205115\pi\) | |||||||
\(264\) | 0.499124 | − | 13.1614i | 0.0307189 | − | 0.810028i | ||||
\(265\) | 0.0275665i | 0.00169339i | ||||||||
\(266\) | 7.77391 | − | 12.8030i | 0.476649 | − | 0.785005i | ||||
\(267\) | −7.92253 | − | 4.98364i | −0.484851 | − | 0.304994i | ||||
\(268\) | −6.32813 | − | 10.9606i | −0.386552 | − | 0.669528i | ||||
\(269\) | −23.1586 | −1.41201 | −0.706003 | − | 0.708208i | \(-0.749504\pi\) | ||||
−0.706003 | + | 0.708208i | \(0.749504\pi\) | |||||||
\(270\) | 0.00421315 | + | 0.00969671i | 0.000256404 | + | 0.000590123i | ||||
\(271\) | 26.3454i | 1.60037i | 0.599753 | + | 0.800185i | \(0.295265\pi\) | ||||
−0.599753 | + | 0.800185i | \(0.704735\pi\) | |||||||
\(272\) | −5.99505 | −0.363503 | ||||||||
\(273\) | −12.3282 | + | 11.0007i | −0.746137 | + | 0.665793i | ||||
\(274\) | 6.49218 | 0.392207 | ||||||||
\(275\) | 12.4844i | 0.752840i | ||||||||
\(276\) | 3.98839 | − | 6.34037i | 0.240073 | − | 0.381645i | ||||
\(277\) | −4.40451 | −0.264641 | −0.132321 | − | 0.991207i | \(-0.542243\pi\) | ||||
−0.132321 | + | 0.991207i | \(0.542243\pi\) | |||||||
\(278\) | −6.49441 | − | 11.2486i | −0.389509 | − | 0.674649i | ||||
\(279\) | 1.72577 | − | 22.7207i | 0.103319 | − | 1.36025i | ||||
\(280\) | −0.0136318 | + | 0.00747379i | −0.000814658 | + | 0.000446644i | ||||
\(281\) | 13.2912i | 0.792885i | 0.918060 | + | 0.396442i | \(0.129755\pi\) | ||||
−0.918060 | + | 0.396442i | \(0.870245\pi\) | |||||||
\(282\) | −6.54131 | − | 0.248068i | −0.389529 | − | 0.0147722i | ||||
\(283\) | 14.1843 | − | 8.18929i | 0.843167 | − | 0.486803i | −0.0151725 | − | 0.999885i | \(-0.504830\pi\) |
0.858339 | + | 0.513082i | \(0.171496\pi\) | |||||||
\(284\) | 1.10144 | − | 0.635914i | 0.0653582 | − | 0.0377346i | ||||
\(285\) | 0.00955236 | − | 0.0151855i | 0.000565833 | − | 0.000899509i | ||||
\(286\) | −9.16259 | + | 2.48612i | −0.541796 | + | 0.147007i | ||||
\(287\) | −5.02684 | + | 8.27882i | −0.296725 | + | 0.488683i | ||||
\(288\) | −12.3765 | + | 5.94481i | −0.729292 | + | 0.350301i | ||||
\(289\) | 0.432600 | 0.0254470 | ||||||||
\(290\) | −0.0177858 | −0.00104442 | ||||||||
\(291\) | 4.13733 | + | 0.156901i | 0.242534 | + | 0.00919771i | ||||
\(292\) | 1.43010 | + | 0.825670i | 0.0836905 | + | 0.0483187i | ||||
\(293\) | −9.96323 | − | 17.2568i | −0.582058 | − | 1.00815i | −0.995235 | − | 0.0975037i | \(-0.968914\pi\) |
0.413177 | − | 0.910651i | \(-0.364419\pi\) | |||||||
\(294\) | −7.27938 | + | 10.5114i | −0.424542 | + | 0.613039i | ||||
\(295\) | 0.00504662 | + | 0.00874100i | 0.000293825 | + | 0.000508920i | ||||
\(296\) | 11.1334i | 0.647114i | ||||||||
\(297\) | −5.17026 | − | 11.8995i | −0.300009 | − | 0.690481i | ||||
\(298\) | −3.77624 | + | 6.54065i | −0.218752 | + | 0.378889i | ||||
\(299\) | −16.9773 | − | 4.49170i | −0.981824 | − | 0.259762i | ||||
\(300\) | 6.80011 | − | 3.58957i | 0.392605 | − | 0.207244i | ||||
\(301\) | −3.38179 | − | 6.16821i | −0.194923 | − | 0.355530i | ||||
\(302\) | −14.8843 | − | 8.59344i | −0.856494 | − | 0.494497i | ||||
\(303\) | −1.18541 | + | 31.2582i | −0.0681003 | + | 1.79574i | ||||
\(304\) | −6.67551 | − | 3.85411i | −0.382867 | − | 0.221048i | ||||
\(305\) | − | 0.0146233i | − | 0.000837326i | ||||||
\(306\) | −11.9068 | + | 5.71922i | −0.680669 | + | 0.326946i | ||||
\(307\) | − | 4.93316i | − | 0.281551i | −0.990042 | − | 0.140775i | \(-0.955040\pi\) | ||
0.990042 | − | 0.140775i | \(-0.0449595\pi\) | |||||||
\(308\) | 5.14327 | − | 2.81985i | 0.293065 | − | 0.160676i | ||||
\(309\) | −16.8907 | − | 0.640552i | −0.960880 | − | 0.0364398i | ||||
\(310\) | −0.0154541 | −0.000877732 | ||||||||
\(311\) | 6.69213 | − | 11.5911i | 0.379476 | − | 0.657272i | −0.611510 | − | 0.791237i | \(-0.709438\pi\) |
0.990986 | + | 0.133965i | \(0.0427710\pi\) | |||||||
\(312\) | 12.9731 | + | 13.9076i | 0.734456 | + | 0.787360i | ||||
\(313\) | 23.9599 | − | 13.8332i | 1.35429 | − | 0.781901i | 0.365445 | − | 0.930833i | \(-0.380917\pi\) |
0.988847 | + | 0.148932i | \(0.0475835\pi\) | |||||||
\(314\) | −2.48238 | + | 4.29960i | −0.140089 | + | 0.242641i | ||||
\(315\) | −0.00891673 | + | 0.0124504i | −0.000502401 | + | 0.000701502i | ||||
\(316\) | 3.23622 | + | 5.60529i | 0.182051 | + | 0.315322i | ||||
\(317\) | 12.8384 | − | 7.41223i | 0.721075 | − | 0.416313i | −0.0940735 | − | 0.995565i | \(-0.529989\pi\) |
0.815148 | + | 0.579253i | \(0.196656\pi\) | |||||||
\(318\) | 23.0791 | − | 12.1828i | 1.29421 | − | 0.683175i | ||||
\(319\) | 21.8262 | 1.22203 | ||||||||
\(320\) | 0.00742641 | + | 0.0128629i | 0.000415149 | + | 0.000719059i | ||||
\(321\) | −5.03798 | + | 8.00892i | −0.281193 | + | 0.447014i | ||||
\(322\) | −13.5864 | − | 0.300205i | −0.757142 | − | 0.0167298i | ||||
\(323\) | 19.4113 | + | 11.2071i | 1.08007 | + | 0.623580i | ||||
\(324\) | −4.99495 | + | 6.23757i | −0.277497 | + | 0.346531i | ||||
\(325\) | −12.7877 | − | 12.7073i | −0.709334 | − | 0.704872i | ||||
\(326\) | 3.84155 | + | 2.21792i | 0.212764 | + | 0.122839i | ||||
\(327\) | −11.2900 | + | 5.95965i | −0.624339 | + | 0.329569i | ||||
\(328\) | 9.65508 | + | 5.57436i | 0.533113 | + | 0.307793i | ||||
\(329\) | −4.55836 | − | 8.31423i | −0.251311 | − | 0.458378i | ||||
\(330\) | −0.00778178 | + | 0.00410776i | −0.000428373 | + | 0.000226125i | ||||
\(331\) | −2.90440 | + | 5.03057i | −0.159640 | + | 0.276505i | −0.934739 | − | 0.355335i | \(-0.884367\pi\) |
0.775099 | + | 0.631840i | \(0.217700\pi\) | |||||||
\(332\) | 9.24200 | 0.507221 | ||||||||
\(333\) | 4.74848 | + | 9.88586i | 0.260215 | + | 0.541742i | ||||
\(334\) | 13.2424 | + | 7.64552i | 0.724594 | + | 0.418344i | ||||
\(335\) | −0.0137510 | + | 0.0238175i | −0.000751299 | + | 0.00130129i | ||||
\(336\) | 5.49086 | + | 3.62573i | 0.299551 | + | 0.197800i | ||||
\(337\) | −9.55520 | −0.520505 | −0.260252 | − | 0.965541i | \(-0.583806\pi\) | ||||
−0.260252 | + | 0.965541i | \(0.583806\pi\) | |||||||
\(338\) | 6.77962 | − | 11.9157i | 0.368763 | − | 0.648126i | ||||
\(339\) | 0.780810 | + | 0.0296109i | 0.0424078 | + | 0.00160824i | ||||
\(340\) | −0.00357629 | − | 0.00619432i | −0.000193952 | − | 0.000335934i | ||||
\(341\) | 18.9648 | 1.02700 | ||||||||
\(342\) | −16.9351 | − | 1.28632i | −0.915745 | − | 0.0695562i | ||||
\(343\) | −18.4796 | − | 1.22657i | −0.997804 | − | 0.0662285i | ||||
\(344\) | −7.01238 | + | 4.04860i | −0.378082 | + | 0.218286i | ||||
\(345\) | −0.0162652 | 0.000616829i | −0.000875687 | 3.32089e-5i | ||||||
\(346\) | 14.3355 | + | 8.27660i | 0.770681 | + | 0.444953i | ||||
\(347\) | 29.1178i | 1.56313i | 0.623826 | + | 0.781563i | \(0.285577\pi\) | ||||
−0.623826 | + | 0.781563i | \(0.714423\pi\) | |||||||
\(348\) | −6.27554 | − | 11.8884i | −0.336404 | − | 0.637287i | ||||
\(349\) | −27.1567 | − | 15.6790i | −1.45367 | − | 0.839275i | −0.454980 | − | 0.890501i | \(-0.650354\pi\) |
−0.998687 | + | 0.0512262i | \(0.983687\pi\) | |||||||
\(350\) | −11.9245 | − | 7.24047i | −0.637392 | − | 0.387019i | ||||
\(351\) | 17.4511 | + | 6.81607i | 0.931471 | + | 0.363815i | ||||
\(352\) | −5.71380 | − | 9.89659i | −0.304547 | − | 0.527490i | ||||
\(353\) | 0.797729 | + | 1.38171i | 0.0424588 | + | 0.0735408i | 0.886474 | − | 0.462779i | \(-0.153148\pi\) |
−0.844015 | + | 0.536320i | \(0.819814\pi\) | |||||||
\(354\) | 5.08780 | − | 8.08812i | 0.270414 | − | 0.429879i | ||||
\(355\) | −0.00239342 | − | 0.00138184i | −0.000127030 | − | 7.33406e-5i | ||||
\(356\) | −4.79800 | −0.254293 | ||||||||
\(357\) | −15.9665 | − | 10.5430i | −0.845037 | − | 0.557995i | ||||
\(358\) | −3.40868 | − | 5.90400i | −0.180154 | − | 0.312036i | ||||
\(359\) | 11.1728 | − | 6.45064i | 0.589680 | − | 0.340452i | −0.175291 | − | 0.984517i | \(-0.556087\pi\) |
0.764971 | + | 0.644065i | \(0.222753\pi\) | |||||||
\(360\) | 0.0145547 | + | 0.00994477i | 0.000767099 | + | 0.000524135i | ||||
\(361\) | 4.90969 | + | 8.50384i | 0.258405 | + | 0.447570i | ||||
\(362\) | −0.990625 | −0.0520661 | ||||||||
\(363\) | −7.29958 | + | 3.85323i | −0.383129 | + | 0.202242i | ||||
\(364\) | −2.34672 | + | 8.13838i | −0.123002 | + | 0.426567i | ||||
\(365\) | − | 0.00358837i | − | 0.000187824i | ||||||
\(366\) | −12.2428 | + | 6.46262i | −0.639944 | + | 0.337807i | ||||
\(367\) | 11.3448 | − | 6.54993i | 0.592194 | − | 0.341903i | −0.173770 | − | 0.984786i | \(-0.555595\pi\) |
0.765965 | + | 0.642883i | \(0.222262\pi\) | |||||||
\(368\) | 6.99360i | 0.364567i | ||||||||
\(369\) | 10.9507 | + | 0.831772i | 0.570072 | + | 0.0433003i | ||||
\(370\) | 0.00644165 | − | 0.00371909i | 0.000334885 | − | 0.000193346i | ||||
\(371\) | 32.3116 | + | 19.6193i | 1.67753 | + | 1.01859i | ||||
\(372\) | −5.45282 | − | 10.3299i | −0.282716 | − | 0.535579i | ||||
\(373\) | −3.06870 | + | 5.31515i | −0.158891 | + | 0.275208i | −0.934469 | − | 0.356044i | \(-0.884125\pi\) |
0.775578 | + | 0.631252i | \(0.217459\pi\) | |||||||
\(374\) | −5.49697 | − | 9.52103i | −0.284242 | − | 0.492321i | ||||
\(375\) | −0.0282869 | − | 0.0177938i | −0.00146073 | − | 0.000918867i | ||||
\(376\) | −9.45210 | + | 5.45717i | −0.487455 | + | 0.281432i | ||||
\(377\) | −22.2157 | + | 22.3564i | −1.14417 | + | 1.15141i | ||||
\(378\) | 14.3644 | + | 1.96288i | 0.738824 | + | 0.100959i | ||||
\(379\) | 6.45103 | − | 11.1735i | 0.331367 | − | 0.573945i | −0.651413 | − | 0.758723i | \(-0.725823\pi\) |
0.982780 | + | 0.184779i | \(0.0591568\pi\) | |||||||
\(380\) | − | 0.00919653i | − | 0.000471772i | ||||||
\(381\) | −14.4573 | + | 7.63157i | −0.740671 | + | 0.390977i | ||||
\(382\) | −2.83648 | + | 4.91293i | −0.145127 | + | 0.251368i | ||||
\(383\) | −4.61988 | + | 8.00187i | −0.236065 | + | 0.408876i | −0.959582 | − | 0.281430i | \(-0.909191\pi\) |
0.723517 | + | 0.690307i | \(0.242524\pi\) | |||||||
\(384\) | −0.954748 | + | 1.51777i | −0.0487218 | + | 0.0774534i | ||||
\(385\) | −0.0108948 | − | 0.00661521i | −0.000555248 | − | 0.000337143i | ||||
\(386\) | 19.3091 | − | 11.1481i | 0.982806 | − | 0.567423i | ||||
\(387\) | −4.49987 | + | 6.58579i | −0.228741 | + | 0.334774i | ||||
\(388\) | 1.83807 | − | 1.06121i | 0.0933140 | − | 0.0538749i | ||||
\(389\) | 11.3864 | + | 6.57391i | 0.577311 | + | 0.333311i | 0.760064 | − | 0.649848i | \(-0.225168\pi\) |
−0.182753 | + | 0.983159i | \(0.558501\pi\) | |||||||
\(390\) | 0.00371312 | − | 0.0121519i | 0.000188021 | − | 0.000615334i | ||||
\(391\) | − | 20.3362i | − | 1.02845i | ||||||
\(392\) | −0.941635 | + | 21.2975i | −0.0475598 | + | 1.07569i | ||||
\(393\) | 0.408399 | − | 10.7691i | 0.0206010 | − | 0.543228i | ||||
\(394\) | 13.6595 | − | 23.6589i | 0.688154 | − | 1.19192i | ||||
\(395\) | 0.00703230 | − | 0.0121803i | 0.000353834 | − | 0.000612858i | ||||
\(396\) | −5.49145 | − | 3.75214i | −0.275956 | − | 0.188552i | ||||
\(397\) | 16.0733 | + | 9.27995i | 0.806698 | + | 0.465747i | 0.845808 | − | 0.533487i | \(-0.179119\pi\) |
−0.0391097 | + | 0.999235i | \(0.512452\pi\) | |||||||
\(398\) | −2.91923 | −0.146328 | ||||||||
\(399\) | −11.0009 | − | 22.0043i | −0.550732 | − | 1.10159i | ||||
\(400\) | −3.58964 | + | 6.21745i | −0.179482 | + | 0.310872i | ||||
\(401\) | 12.3532i | 0.616888i | 0.951243 | + | 0.308444i | \(0.0998082\pi\) | ||||
−0.951243 | + | 0.308444i | \(0.900192\pi\) | |||||||
\(402\) | 26.0176 | + | 0.986671i | 1.29764 | + | 0.0492107i | ||||
\(403\) | −19.3033 | + | 19.4255i | −0.961565 | + | 0.967651i | ||||
\(404\) | 8.01763 | + | 13.8869i | 0.398892 | + | 0.690901i | ||||
\(405\) | 0.0171653 | + | 0.00262275i | 0.000852952 | + | 0.000130325i | ||||
\(406\) | −12.6583 | + | 20.8473i | −0.628221 | + | 1.03463i | ||||
\(407\) | −7.90501 | + | 4.56396i | −0.391837 | + | 0.226227i | ||||
\(408\) | −11.7269 | + | 18.6423i | −0.580568 | + | 0.922933i | ||||
\(409\) | 5.77235i | 0.285424i | 0.989764 | + | 0.142712i | \(0.0455823\pi\) | ||||
−0.989764 | + | 0.142712i | \(0.954418\pi\) | |||||||
\(410\) | − | 0.00744843i | − | 0.000367852i | ||||||
\(411\) | 5.67760 | − | 9.02572i | 0.280055 | − | 0.445206i | ||||
\(412\) | −7.50398 | + | 4.33242i | −0.369694 | + | 0.213443i | ||||
\(413\) | 13.8373 | + | 0.305749i | 0.680891 | + | 0.0150449i | ||||
\(414\) | 6.67182 | + | 13.8901i | 0.327902 | + | 0.682660i | ||||
\(415\) | −0.0100414 | − | 0.0173923i | −0.000492915 | − | 0.000853753i | ||||
\(416\) | 15.9528 | + | 4.22063i | 0.782149 | + | 0.206934i | ||||
\(417\) | −21.3179 | − | 0.808446i | −1.04394 | − | 0.0395898i | ||||
\(418\) | − | 14.1356i | − | 0.691396i | ||||||
\(419\) | −17.6169 | + | 30.5134i | −0.860644 | + | 1.49068i | 0.0106648 | + | 0.999943i | \(0.496605\pi\) |
−0.871309 | + | 0.490736i | \(0.836728\pi\) | |||||||
\(420\) | −0.000470721 | 0.00783626i | −2.29688e−5 | 0.000382371i | ||||||
\(421\) | 27.0300 | 1.31736 | 0.658682 | − | 0.752421i | \(-0.271114\pi\) | ||||
0.658682 | + | 0.752421i | \(0.271114\pi\) | |||||||
\(422\) | −7.13541 | − | 4.11963i | −0.347346 | − | 0.200540i | ||||
\(423\) | −6.06544 | + | 8.87709i | −0.294912 | + | 0.431619i | ||||
\(424\) | 21.7563 | − | 37.6830i | 1.05658 | − | 1.83005i | ||||
\(425\) | 10.4381 | − | 18.0793i | 0.506321 | − | 0.876974i | ||||
\(426\) | −0.0991506 | + | 2.61450i | −0.00480386 | + | 0.126673i | ||||
\(427\) | −17.1404 | − | 10.4075i | −0.829483 | − | 0.503656i | ||||
\(428\) | 4.85032i | 0.234449i | ||||||||
\(429\) | −4.55664 | + | 14.9124i | −0.219997 | + | 0.719979i | ||||
\(430\) | 0.00468495 | + | 0.00270486i | 0.000225928 | + | 0.000130440i | ||||
\(431\) | 27.1302 | − | 15.6636i | 1.30681 | − | 0.754490i | 0.325252 | − | 0.945627i | \(-0.394551\pi\) |
0.981563 | + | 0.191138i | \(0.0612177\pi\) | |||||||
\(432\) | 0.846597 | − | 7.41275i | 0.0407319 | − | 0.356646i | ||||
\(433\) | 3.41909 | − | 1.97401i | 0.164311 | − | 0.0948649i | −0.415590 | − | 0.909552i | \(-0.636425\pi\) |
0.579900 | + | 0.814687i | \(0.303091\pi\) | |||||||
\(434\) | −10.9988 | + | 18.1142i | −0.527960 | + | 0.869511i | ||||
\(435\) | −0.0155542 | + | 0.0247266i | −0.000745765 | + | 0.00118555i | ||||
\(436\) | −3.27220 | + | 5.66761i | −0.156710 | + | 0.271429i | ||||
\(437\) | 13.0738 | − | 22.6445i | 0.625404 | − | 1.08323i | ||||
\(438\) | −3.00424 | + | 1.58585i | −0.143548 | + | 0.0757746i | ||||
\(439\) | − | 30.8667i | − | 1.47319i | −0.676337 | − | 0.736593i | \(-0.736434\pi\) | ||
0.676337 | − | 0.736593i | \(-0.263566\pi\) | |||||||
\(440\) | −0.00733575 | + | 0.0127059i | −0.000349718 | + | 0.000605729i | ||||
\(441\) | 8.24744 | + | 19.3127i | 0.392735 | + | 0.919652i | ||||
\(442\) | 15.3474 | + | 4.06047i | 0.730001 | + | 0.193137i | ||||
\(443\) | −16.2769 | + | 9.39748i | −0.773340 | + | 0.446488i | −0.834065 | − | 0.551667i | \(-0.813992\pi\) |
0.0607250 | + | 0.998155i | \(0.480659\pi\) | |||||||
\(444\) | 4.75881 | + | 2.99351i | 0.225843 | + | 0.142066i | ||||
\(445\) | 0.00521303 | + | 0.00902923i | 0.000247121 | + | 0.000428026i | ||||
\(446\) | −3.95042 | + | 6.84233i | −0.187058 | + | 0.323994i | ||||
\(447\) | 5.79067 | + | 10.9699i | 0.273889 | + | 0.518858i | ||||
\(448\) | 20.3625 | + | 0.449928i | 0.962038 | + | 0.0212571i | ||||
\(449\) | 4.95835 | − | 2.86270i | 0.233999 | − | 0.135099i | −0.378417 | − | 0.925635i | \(-0.623531\pi\) |
0.612415 | + | 0.790536i | \(0.290198\pi\) | |||||||
\(450\) | −1.19805 | + | 15.7730i | −0.0564768 | + | 0.743547i | ||||
\(451\) | 9.14050i | 0.430409i | ||||||||
\(452\) | 0.346887 | − | 0.200275i | 0.0163162 | − | 0.00942016i | ||||
\(453\) | −24.9637 | + | 13.1776i | −1.17290 | + | 0.619137i | ||||
\(454\) | − | 9.00741i | − | 0.422739i | ||||||
\(455\) | 0.0178651 | − | 0.00442612i | 0.000837529 | − | 0.000207500i | ||||
\(456\) | −25.0428 | + | 13.2193i | −1.17273 | + | 0.619051i | ||||
\(457\) | 33.8986 | 1.58571 | 0.792854 | − | 0.609412i | \(-0.208594\pi\) | ||||
0.792854 | + | 0.609412i | \(0.208594\pi\) | |||||||
\(458\) | 5.43127 | + | 9.40723i | 0.253786 | + | 0.439571i | ||||
\(459\) | −2.46176 | + | 21.5550i | −0.114905 | + | 1.00610i | ||||
\(460\) | −0.00722605 | + | 0.00417196i | −0.000336917 | + | 0.000194519i | ||||
\(461\) | 9.37925 | + | 16.2453i | 0.436835 | + | 0.756621i | 0.997443 | − | 0.0714602i | \(-0.0227659\pi\) |
−0.560608 | + | 0.828081i | \(0.689433\pi\) | |||||||
\(462\) | −0.723527 | + | 12.0448i | −0.0336615 | + | 0.560375i | ||||
\(463\) | −20.1902 | −0.938317 | −0.469158 | − | 0.883114i | \(-0.655443\pi\) | ||||
−0.469158 | + | 0.883114i | \(0.655443\pi\) | |||||||
\(464\) | 10.8698 | + | 6.27567i | 0.504617 | + | 0.291341i | ||||
\(465\) | −0.0135150 | + | 0.0214849i | −0.000626745 | + | 0.000996340i | ||||
\(466\) | 0.667909 | + | 1.15685i | 0.0309403 | + | 0.0535902i | ||||
\(467\) | −3.57259 | − | 6.18791i | −0.165320 | − | 0.286342i | 0.771449 | − | 0.636291i | \(-0.219532\pi\) |
−0.936769 | + | 0.349949i | \(0.886199\pi\) | |||||||
\(468\) | 9.43275 | − | 1.80573i | 0.436029 | − | 0.0834701i | ||||
\(469\) | 18.1305 | + | 33.0692i | 0.837190 | + | 1.52699i | ||||
\(470\) | 0.00631492 | + | 0.00364592i | 0.000291285 | + | 0.000168174i | ||||
\(471\) | 3.80659 | + | 7.21124i | 0.175398 | + | 0.332276i | ||||
\(472\) | − | 15.9318i | − | 0.733319i | ||||||
\(473\) | −5.74924 | − | 3.31932i | −0.264350 | − | 0.152623i | ||||
\(474\) | −13.3054 | − | 0.504585i | −0.611138 | − | 0.0231764i | ||||
\(475\) | 23.2457 | − | 13.4209i | 1.06659 | − | 0.615794i | ||||
\(476\) | −9.80584 | − | 0.216669i | −0.449450 | − | 0.00993102i | ||||
\(477\) | 3.24634 | − | 42.7398i | 0.148640 | − | 1.95692i | ||||
\(478\) | −19.8679 | −0.908735 | ||||||||
\(479\) | −4.61963 | − | 8.00143i | −0.211076 | − | 0.365595i | 0.740975 | − | 0.671532i | \(-0.234363\pi\) |
−0.952052 | + | 0.305938i | \(0.901030\pi\) | |||||||
\(480\) | 0.0152836 | 0.000579604i | 0.000697597 | 2.64552e-5i | ||||||
\(481\) | 3.37128 | − | 12.7424i | 0.153717 | − | 0.581005i | ||||
\(482\) | 1.29007 | 0.0587612 | ||||||||
\(483\) | −12.2991 | + | 18.6259i | −0.559628 | + | 0.847509i | ||||
\(484\) | −2.11565 | + | 3.66441i | −0.0961658 | + | 0.166564i | ||||
\(485\) | −0.00399414 | − | 0.00230602i | −0.000181364 | − | 0.000104711i | ||||
\(486\) | −5.39026 | − | 15.5302i | −0.244507 | − | 0.704464i | ||||
\(487\) | 1.30155 | 0.0589787 | 0.0294894 | − | 0.999565i | \(-0.490612\pi\) | ||||
0.0294894 | + | 0.999565i | \(0.490612\pi\) | |||||||
\(488\) | −11.5411 | + | 19.9898i | −0.522442 | + | 0.904896i | ||||
\(489\) | 6.44299 | − | 3.40106i | 0.291362 | − | 0.153801i | ||||
\(490\) | 0.0126370 | − | 0.00656958i | 0.000570884 | − | 0.000296783i | ||||
\(491\) | 11.4486 | + | 6.60986i | 0.516668 | + | 0.298299i | 0.735570 | − | 0.677448i | \(-0.236914\pi\) |
−0.218902 | + | 0.975747i | \(0.570248\pi\) | |||||||
\(492\) | 4.97871 | − | 2.62811i | 0.224458 | − | 0.118484i | ||||
\(493\) | −31.6075 | − | 18.2486i | −1.42353 | − | 0.821876i | ||||
\(494\) | 14.4790 | + | 14.3879i | 0.651440 | + | 0.647343i | ||||
\(495\) | −0.00109459 | + | 0.0144109i | −4.91984e−5 | + | 0.000647723i | ||||
\(496\) | 9.44476 | + | 5.45294i | 0.424082 | + | 0.244844i | ||||
\(497\) | −3.32312 | + | 1.82194i | −0.149062 | + | 0.0817250i | ||||
\(498\) | −10.1234 | + | 16.0932i | −0.453640 | + | 0.721154i | ||||
\(499\) | 3.18217 | + | 5.51168i | 0.142454 | + | 0.246737i | 0.928420 | − | 0.371532i | \(-0.121168\pi\) |
−0.785966 | + | 0.618269i | \(0.787834\pi\) | |||||||
\(500\) | −0.0171309 | −0.000766119 | ||||||||
\(501\) | 22.2100 | − | 11.7240i | 0.992272 | − | 0.523790i | ||||
\(502\) | −8.07847 | + | 4.66411i | −0.360560 | + | 0.208169i | ||||
\(503\) | −17.7261 | − | 30.7026i | −0.790370 | − | 1.36896i | −0.925738 | − | 0.378165i | \(-0.876555\pi\) |
0.135369 | − | 0.990795i | \(-0.456778\pi\) | |||||||
\(504\) | 22.0153 | − | 9.98222i | 0.980639 | − | 0.444644i | ||||
\(505\) | 0.0174223 | − | 0.0301764i | 0.000775283 | − | 0.00134283i | ||||
\(506\) | −11.1069 | + | 6.41256i | −0.493761 | + | 0.285073i | ||||
\(507\) | −10.6367 | − | 19.8459i | −0.472393 | − | 0.881388i | ||||
\(508\) | −4.19018 | + | 7.25761i | −0.185909 | + | 0.322004i | ||||
\(509\) | −15.6499 | −0.693670 | −0.346835 | − | 0.937926i | \(-0.612744\pi\) | ||||
−0.346835 | + | 0.937926i | \(0.612744\pi\) | |||||||
\(510\) | 0.0147036 | 0.000557609i | 0.000651086 | 2.46913e-5i | ||||||
\(511\) | −4.20604 | − | 2.55388i | −0.186064 | − | 0.112977i | ||||
\(512\) | − | 15.3173i | − | 0.676934i | ||||||
\(513\) | −16.5985 | + | 22.4190i | −0.732843 | + | 0.989824i | ||||
\(514\) | 11.5410i | 0.509052i | ||||||||
\(515\) | 0.0163062 | + | 0.00941436i | 0.000718535 | + | 0.000414846i | ||||
\(516\) | −0.154952 | + | 4.08592i | −0.00682136 | + | 0.179873i | ||||
\(517\) | −7.74949 | − | 4.47417i | −0.340822 | − | 0.196774i | ||||
\(518\) | 0.225321 | − | 10.1974i | 0.00990002 | − | 0.448047i | ||||
\(519\) | 24.0433 | − | 12.6917i | 1.05538 | − | 0.557105i | ||||
\(520\) | −0.00554785 | − | 0.0204466i | −0.000243289 | − | 0.000896643i | ||||
\(521\) | 19.1120 | − | 33.1029i | 0.837310 | − | 1.45026i | −0.0548261 | − | 0.998496i | \(-0.517460\pi\) |
0.892136 | − | 0.451767i | \(-0.149206\pi\) | |||||||
\(522\) | 27.5755 | + | 2.09452i | 1.20695 | + | 0.0916747i | ||||
\(523\) | 30.7021i | 1.34251i | 0.741228 | + | 0.671254i | \(0.234244\pi\) | ||||
−0.741228 | + | 0.671254i | \(0.765756\pi\) | |||||||
\(524\) | −2.76224 | − | 4.78434i | −0.120669 | − | 0.209005i | ||||
\(525\) | −20.4944 | + | 10.2460i | −0.894447 | + | 0.447172i | ||||
\(526\) | 6.70414 | + | 11.6119i | 0.292314 | + | 0.506303i | ||||
\(527\) | −27.4638 | − | 15.8562i | −1.19634 | − | 0.690708i | ||||
\(528\) | 6.20525 | + | 0.235324i | 0.270049 | + | 0.0102411i | ||||
\(529\) | −0.723461 | −0.0314548 | ||||||||
\(530\) | −0.0290706 | −0.00126275 | ||||||||
\(531\) | −6.79504 | − | 14.1466i | −0.294879 | − | 0.613909i | ||||
\(532\) | −10.7796 | − | 6.54526i | −0.467353 | − | 0.283773i | ||||
\(533\) | −9.36253 | − | 9.30364i | −0.405536 | − | 0.402985i | ||||
\(534\) | 5.25557 | − | 8.35482i | 0.227431 | − | 0.361548i | ||||
\(535\) | 0.00912769 | − | 0.00526987i | 0.000394624 | − | 0.000227836i | ||||
\(536\) | 37.5950 | − | 21.7055i | 1.62385 | − | 0.937533i | ||||
\(537\) | −11.1890 | − | 0.424324i | −0.482841 | − | 0.0183109i | ||||
\(538\) | − | 24.4223i | − | 1.05292i | ||||||
\(539\) | −15.5078 | + | 8.06199i | −0.667969 | + | 0.347255i | ||||
\(540\) | 0.00816417 | − | 0.00354727i | 0.000351330 | − | 0.000152650i | ||||
\(541\) | 4.56917 | + | 7.91403i | 0.196444 | + | 0.340251i | 0.947373 | − | 0.320132i | \(-0.103727\pi\) |
−0.750929 | + | 0.660383i | \(0.770394\pi\) | |||||||
\(542\) | −27.7829 | −1.19338 | ||||||||
\(543\) | −0.866330 | + | 1.37721i | −0.0371778 | + | 0.0591018i | ||||
\(544\) | 19.1090i | 0.819289i | ||||||||
\(545\) | 0.0142210 | 0.000609160 | ||||||||
\(546\) | −11.6009 | − | 13.0009i | −0.496475 | − | 0.556387i | ||||
\(547\) | −35.4176 | −1.51435 | −0.757173 | − | 0.653214i | \(-0.773420\pi\) | ||||
−0.757173 | + | 0.653214i | \(0.773420\pi\) | |||||||
\(548\) | − | 5.46611i | − | 0.233500i | ||||||
\(549\) | −1.72209 | + | 22.6723i | −0.0734972 | + | 0.967631i | ||||
\(550\) | −13.1656 | −0.561385 | ||||||||
\(551\) | −23.4634 | − | 40.6398i | −0.999574 | − | 1.73131i | ||||
\(552\) | 21.7474 | + | 13.6801i | 0.925632 | + | 0.582266i | ||||
\(553\) | −9.27198 | − | 16.9116i | −0.394285 | − | 0.719156i | ||||
\(554\) | − | 4.64484i | − | 0.197340i | ||||||
\(555\) | 0.000462965 | − | 0.0122079i | 1.96518e−5 | − | 0.000518198i | ||||
\(556\) | −9.47083 | + | 5.46798i | −0.401653 | + | 0.231894i | ||||
\(557\) | 3.92620 | − | 2.26679i | 0.166358 | − | 0.0960470i | −0.414509 | − | 0.910045i | \(-0.636047\pi\) |
0.580868 | + | 0.813998i | \(0.302713\pi\) | |||||||
\(558\) | 23.9604 | + | 1.81993i | 1.01432 | + | 0.0770439i | ||||
\(559\) | 9.25180 | − | 2.51032i | 0.391310 | − | 0.106175i | ||||
\(560\) | −0.00352369 | − | 0.00642705i | −0.000148903 | − | 0.000271592i | ||||
\(561\) | −18.0438 | − | 0.684282i | −0.761811 | − | 0.0288904i | ||||
\(562\) | −14.0164 | −0.591246 | ||||||||
\(563\) | −12.1324 | −0.511321 | −0.255661 | − | 0.966767i | \(-0.582293\pi\) | ||||
−0.255661 | + | 0.966767i | \(0.582293\pi\) | |||||||
\(564\) | −0.208862 | + | 5.50747i | −0.00879466 | + | 0.231906i | ||||
\(565\) | −0.000753786 | 0 | 0.000435199i | −3.17120e−5 | 0 | 1.83090e-5i | ||||
\(566\) | 8.63613 | + | 14.9582i | 0.363004 | + | 0.628741i | ||||
\(567\) | 15.2909 | − | 18.2534i | 0.642159 | − | 0.766571i | ||||
\(568\) | 2.18118 | + | 3.77792i | 0.0915204 | + | 0.158518i | ||||
\(569\) | − | 36.3551i | − | 1.52408i | −0.647528 | − | 0.762042i | \(-0.724197\pi\) | ||
0.647528 | − | 0.762042i | \(-0.275803\pi\) | |||||||
\(570\) | 0.0160140 | + | 0.0100736i | 0.000670754 | + | 0.000421936i | ||||
\(571\) | 7.04698 | − | 12.2057i | 0.294907 | − | 0.510794i | −0.680056 | − | 0.733160i | \(-0.738045\pi\) |
0.974963 | + | 0.222366i | \(0.0713780\pi\) | |||||||
\(572\) | 2.09319 | + | 7.71447i | 0.0875208 | + | 0.322558i | ||||
\(573\) | 4.34960 | + | 8.23991i | 0.181707 | + | 0.344227i | ||||
\(574\) | −8.73055 | − | 5.30112i | −0.364406 | − | 0.221265i | ||||
\(575\) | −21.0906 | − | 12.1767i | −0.879540 | − | 0.507802i | ||||
\(576\) | −9.99932 | − | 20.8176i | −0.416638 | − | 0.867399i | ||||
\(577\) | 11.4758 | + | 6.62558i | 0.477745 | + | 0.275826i | 0.719476 | − | 0.694517i | \(-0.244382\pi\) |
−0.241731 | + | 0.970343i | \(0.577715\pi\) | |||||||
\(578\) | 0.456204i | 0.0189756i | ||||||||
\(579\) | 1.38775 | − | 36.5937i | 0.0576731 | − | 1.52078i | ||||
\(580\) | 0.0149748i | 0.000621793i | ||||||||
\(581\) | −27.5327 | − | 0.608360i | −1.14225 | − | 0.0252390i | ||||
\(582\) | −0.165462 | + | 4.36308i | −0.00685864 | + | 0.180856i | ||||
\(583\) | 35.6746 | 1.47749 | ||||||||
\(584\) | −2.83205 | + | 4.90525i | −0.117191 | + | 0.202981i | ||||
\(585\) | −0.0136469 | − | 0.0157893i | −0.000564228 | − | 0.000652808i | ||||
\(586\) | 18.1984 | − | 10.5069i | 0.751771 | − | 0.434035i | ||||
\(587\) | 15.6011 | − | 27.0220i | 0.643928 | − | 1.11532i | −0.340620 | − | 0.940201i | \(-0.610637\pi\) |
0.984548 | − | 0.175115i | \(-0.0560296\pi\) | |||||||
\(588\) | 8.85013 | + | 6.12890i | 0.364973 | + | 0.252751i | ||||
\(589\) | −20.3874 | − | 35.3120i | −0.840047 | − | 1.45500i | ||||
\(590\) | −0.00921795 | + | 0.00532198i | −0.000379497 | + | 0.000219103i | ||||
\(591\) | −20.9461 | − | 39.6804i | −0.861606 | − | 1.63223i | ||||
\(592\) | −5.24909 | −0.215736 | ||||||||
\(593\) | 5.48292 | + | 9.49670i | 0.225157 | + | 0.389983i | 0.956366 | − | 0.292170i | \(-0.0943773\pi\) |
−0.731210 | + | 0.682153i | \(0.761044\pi\) | |||||||
\(594\) | 12.5488 | − | 5.45237i | 0.514884 | − | 0.223713i | ||||
\(595\) | 0.0102463 | + | 0.0186888i | 0.000420058 | + | 0.000766165i | ||||
\(596\) | 5.50691 | + | 3.17942i | 0.225572 | + | 0.130234i | ||||
\(597\) | −2.55295 | + | 4.05845i | −0.104485 | + | 0.166101i | ||||
\(598\) | 4.73679 | − | 17.9037i | 0.193702 | − | 0.732136i | ||||
\(599\) | −12.1466 | − | 7.01285i | −0.496297 | − | 0.286537i | 0.230886 | − | 0.972981i | \(-0.425838\pi\) |
−0.727183 | + | 0.686444i | \(0.759171\pi\) | |||||||
\(600\) | 12.3122 | + | 23.3243i | 0.502644 | + | 0.952213i | ||||
\(601\) | −3.15684 | − | 1.82260i | −0.128770 | − | 0.0743455i | 0.434231 | − | 0.900801i | \(-0.357020\pi\) |
−0.563001 | + | 0.826456i | \(0.690353\pi\) | |||||||
\(602\) | 6.50478 | − | 3.56631i | 0.265115 | − | 0.145352i | ||||
\(603\) | 24.1248 | − | 35.3079i | 0.982439 | − | 1.43785i | ||||
\(604\) | −7.23527 | + | 12.5319i | −0.294399 | + | 0.509914i | ||||
\(605\) | 0.00919461 | 0.000373814 | ||||||||
\(606\) | −32.9638 | − | 1.25010i | −1.33906 | − | 0.0507817i | ||||
\(607\) | 14.9262 | + | 8.61762i | 0.605834 | + | 0.349778i | 0.771333 | − | 0.636432i | \(-0.219590\pi\) |
−0.165499 | + | 0.986210i | \(0.552924\pi\) | |||||||
\(608\) | −12.2848 | + | 21.2779i | −0.498214 | + | 0.862933i | ||||
\(609\) | 17.9128 | + | 35.8297i | 0.725862 | + | 1.45189i | ||||
\(610\) | 0.0154212 | 0.000624386 | ||||||||
\(611\) | 12.4707 | − | 3.38370i | 0.504509 | − | 0.136890i | ||||
\(612\) | 4.81531 | + | 10.0250i | 0.194647 | + | 0.405236i | ||||
\(613\) | 15.2562 | + | 26.4245i | 0.616193 | + | 1.06728i | 0.990174 | + | 0.139841i | \(0.0446590\pi\) |
−0.373982 | + | 0.927436i | \(0.622008\pi\) | |||||||
\(614\) | 5.20234 | 0.209949 | ||||||||
\(615\) | −0.0103551 | − | 0.00651387i | −0.000417560 | − | 0.000262665i | ||||
\(616\) | 9.67207 | + | 17.6414i | 0.389699 | + | 0.710791i | ||||
\(617\) | −5.82452 | + | 3.36279i | −0.234486 | + | 0.135381i | −0.612640 | − | 0.790362i | \(-0.709892\pi\) |
0.378154 | + | 0.925743i | \(0.376559\pi\) | |||||||
\(618\) | 0.675504 | − | 17.8124i | 0.0271728 | − | 0.716519i | ||||
\(619\) | 8.43263 | + | 4.86858i | 0.338936 | + | 0.195685i | 0.659801 | − | 0.751440i | \(-0.270640\pi\) |
−0.320865 | + | 0.947125i | \(0.603974\pi\) | |||||||
\(620\) | 0.0130116i | 0.000522558i | ||||||||
\(621\) | 25.1453 | + | 2.87180i | 1.00905 | + | 0.115241i | ||||
\(622\) | 12.2236 | + | 7.05729i | 0.490121 | + | 0.282971i | ||||
\(623\) | 14.2936 | + | 0.315831i | 0.572662 | + | 0.0126535i | ||||
\(624\) | −6.55704 | + | 6.11646i | −0.262492 | + | 0.244854i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.499999 | − | 0.866023i | ||||
\(626\) | 14.5880 | + | 25.2672i | 0.583056 | + | 1.00988i | ||||
\(627\) | −19.6520 | − | 12.3620i | −0.784824 | − | 0.493691i | ||||
\(628\) | 3.62006 | + | 2.09004i | 0.144456 | + | 0.0834018i | ||||
\(629\) | 15.2635 | 0.608595 | ||||||||
\(630\) | −0.0131298 | − | 0.00940326i | −0.000523103 | − | 0.000374635i | ||||
\(631\) | −1.16211 | − | 2.01284i | −0.0462630 | − | 0.0801299i | 0.841967 | − | 0.539530i | \(-0.181398\pi\) |
−0.888230 | + | 0.459400i | \(0.848065\pi\) | |||||||
\(632\) | −19.2261 | + | 11.1002i | −0.764774 | + | 0.441543i | ||||
\(633\) | −11.9674 | + | 6.31723i | −0.475662 | + | 0.251087i | ||||
\(634\) | 7.81668 | + | 13.5389i | 0.310440 | + | 0.537698i | ||||
\(635\) | 0.0182105 | 0.000722663 | ||||||||
\(636\) | −10.2573 | − | 19.4315i | −0.406728 | − | 0.770510i | ||||
\(637\) | 7.52678 | − | 24.0904i | 0.298222 | − | 0.954497i | ||||
\(638\) | 23.0171i | 0.911256i | ||||||||
\(639\) | 3.54809 | + | 2.42430i | 0.140360 | + | 0.0959040i | ||||
\(640\) | 0.00172979 | 0.000998693i | 6.83759e−5 | 3.94768e-5i | ||||||
\(641\) | 11.0379i | 0.435970i | 0.975952 | + | 0.217985i | \(0.0699483\pi\) | ||||
−0.975952 | + | 0.217985i | \(0.930052\pi\) | |||||||
\(642\) | −8.44592 | − | 5.31288i | −0.333334 | − | 0.209683i | ||||
\(643\) | −2.75926 | + | 1.59306i | −0.108815 | + | 0.0628241i | −0.553420 | − | 0.832903i | \(-0.686677\pi\) |
0.444605 | + | 0.895727i | \(0.353344\pi\) | |||||||
\(644\) | −0.252758 | + | 11.4391i | −0.00996007 | + | 0.450765i | ||||
\(645\) | 0.00785754 | − | 0.00414775i | 0.000309390 | − | 0.000163318i | ||||
\(646\) | −11.8186 | + | 20.4704i | −0.464997 | + | 0.805399i | ||||
\(647\) | −19.9767 | − | 34.6006i | −0.785365 | − | 1.36029i | −0.928781 | − | 0.370629i | \(-0.879142\pi\) |
0.143416 | − | 0.989662i | \(-0.454191\pi\) | |||||||
\(648\) | −21.3948 | − | 17.1326i | −0.840468 | − | 0.673034i | ||||
\(649\) | 11.3120 | − | 6.53099i | 0.444035 | − | 0.256364i | ||||
\(650\) | 13.4006 | − | 13.4854i | 0.525616 | − | 0.528943i | ||||
\(651\) | 15.5644 | + | 31.1325i | 0.610018 | + | 1.22018i | ||||
\(652\) | 1.86738 | − | 3.23440i | 0.0731323 | − | 0.126669i | ||||
\(653\) | 15.8931i | 0.621946i | 0.950419 | + | 0.310973i | \(0.100655\pi\) | ||||
−0.950419 | + | 0.310973i | \(0.899345\pi\) | |||||||
\(654\) | −6.28483 | − | 11.9060i | −0.245756 | − | 0.465563i | ||||
\(655\) | −0.00600235 | + | 0.0103964i | −0.000234531 | + | 0.000406220i | ||||
\(656\) | −2.62816 | + | 4.55211i | −0.102613 | + | 0.177730i | ||||
\(657\) | −0.422580 | + | 5.56350i | −0.0164864 | + | 0.217053i | ||||
\(658\) | 8.76789 | − | 4.80709i | 0.341808 | − | 0.187400i | ||||
\(659\) | 43.5079 | − | 25.1193i | 1.69483 | − | 0.978510i | 0.744315 | − | 0.667829i | \(-0.232776\pi\) |
0.950514 | − | 0.310681i | \(-0.100557\pi\) | |||||||
\(660\) | 0.00345854 | + | 0.00655189i | 0.000134623 | + | 0.000255032i | ||||
\(661\) | 43.6126 | − | 25.1798i | 1.69633 | − | 0.979379i | 0.747151 | − | 0.664654i | \(-0.231421\pi\) |
0.949183 | − | 0.314725i | \(-0.101912\pi\) | |||||||
\(662\) | −5.30506 | − | 3.06288i | −0.206187 | − | 0.119042i | ||||
\(663\) | 19.0668 | − | 17.7856i | 0.740493 | − | 0.690737i | ||||
\(664\) | 31.7000i | 1.23020i | ||||||||
\(665\) | −0.000605367 | 0.0273972i | −2.34751e−5 | 0.00106242i | ||||||
\(666\) | −10.4253 | + | 5.00758i | −0.403971 | + | 0.194040i | ||||
\(667\) | −21.2881 | + | 36.8721i | −0.824280 | + | 1.42769i | ||||
\(668\) | 6.43717 | − | 11.1495i | 0.249062 | − | 0.431387i | ||||
\(669\) | 6.05776 | + | 11.4759i | 0.234206 | + | 0.443683i | ||||
\(670\) | −0.0251171 | − | 0.0145014i | −0.000970358 | − | 0.000560236i | ||||
\(671\) | −18.9244 | −0.730570 | ||||||||
\(672\) | 11.5568 | − | 17.5019i | 0.445815 | − | 0.675150i | ||||
\(673\) | 18.1511 | − | 31.4387i | 0.699674 | − | 1.21187i | −0.268905 | − | 0.963167i | \(-0.586662\pi\) |
0.968579 | − | 0.248704i | \(-0.0800048\pi\) | |||||||
\(674\) | − | 10.0766i | − | 0.388135i | ||||||
\(675\) | 20.8806 | + | 15.4596i | 0.803696 | + | 0.595039i | ||||
\(676\) | −10.0324 | − | 5.70812i | −0.385862 | − | 0.219543i | ||||
\(677\) | 18.7369 | + | 32.4533i | 0.720119 | + | 1.24728i | 0.960952 | + | 0.276716i | \(0.0892460\pi\) |
−0.240833 | + | 0.970567i | \(0.577421\pi\) | |||||||
\(678\) | −0.0312266 | + | 0.823415i | −0.00119925 | + | 0.0316231i | ||||
\(679\) | −5.54562 | + | 3.04044i | −0.212822 | + | 0.116682i | ||||
\(680\) | 0.0212465 | − | 0.0122667i | 0.000814765 | − | 0.000470405i | ||||
\(681\) | −12.5225 | − | 7.87724i | −0.479864 | − | 0.301857i | ||||
\(682\) | 19.9996i | 0.765824i | ||||||||
\(683\) | − | 37.8062i | − | 1.44661i | −0.690526 | − | 0.723307i | \(-0.742621\pi\) | ||
0.690526 | − | 0.723307i | \(-0.257379\pi\) | |||||||
\(684\) | −1.08302 | + | 14.2585i | −0.0414103 | + | 0.545189i | ||||
\(685\) | −0.0102865 | + | 0.00593893i | −0.000393028 | + | 0.000226915i | ||||
\(686\) | 1.29350 | − | 19.4879i | 0.0493859 | − | 0.744053i | ||||
\(687\) | 17.8282 | + | 0.676103i | 0.680187 | + | 0.0257949i | ||||
\(688\) | −1.90881 | − | 3.30615i | −0.0727726 | − | 0.126046i | ||||
\(689\) | −36.3114 | + | 36.5412i | −1.38335 | + | 1.39211i | ||||
\(690\) | 0.000650486 | − | 0.0171527i | 2.47636e−5 | − | 0.000652991i | ||||
\(691\) | − | 12.9636i | − | 0.493158i | −0.969123 | − | 0.246579i | \(-0.920694\pi\) | ||
0.969123 | − | 0.246579i | \(-0.0793065\pi\) | |||||||
\(692\) | 6.96851 | − | 12.0698i | 0.264903 | − | 0.458825i | ||||
\(693\) | 16.1125 | + | 11.5394i | 0.612063 | + | 0.438346i | ||||
\(694\) | −30.7066 | −1.16561 | ||||||||
\(695\) | 0.0205801 | + | 0.0118819i | 0.000780648 | + | 0.000450708i | ||||
\(696\) | 40.7773 | − | 21.5251i | 1.54566 | − | 0.815906i | ||||
\(697\) | 7.64226 | − | 13.2368i | 0.289471 | − | 0.501379i | ||||
\(698\) | 16.5345 | − | 28.6385i | 0.625839 | − | 1.08399i | ||||
\(699\) | 2.19241 | + | 0.0831436i | 0.0829247 | + | 0.00314478i | ||||
\(700\) | −6.09613 | + | 10.0399i | −0.230412 | + | 0.379471i | ||||
\(701\) | 34.9085i | 1.31848i | 0.751934 | + | 0.659238i | \(0.229121\pi\) | ||||
−0.751934 | + | 0.659238i | \(0.770879\pi\) | |||||||
\(702\) | −7.18798 | + | 18.4033i | −0.271293 | + | 0.694589i | ||||
\(703\) | 16.9960 | + | 9.81262i | 0.641014 | + | 0.370090i | ||||
\(704\) | 16.6463 | − | 9.61075i | 0.627381 | − | 0.362219i | ||||
\(705\) | 0.0105913 | − | 0.00559082i | 0.000398892 | − | 0.000210563i | ||||
\(706\) | −1.45710 | + | 0.841257i | −0.0548387 | + | 0.0316611i | ||||
\(707\) | −22.9711 | − | 41.8981i | −0.863915 | − | 1.57574i | ||||
\(708\) | −6.80981 | − | 4.28369i | −0.255928 | − | 0.160991i | ||||
\(709\) | −18.2820 | + | 31.6653i | −0.686595 | + | 1.18922i | 0.286338 | + | 0.958129i | \(0.407562\pi\) |
−0.972933 | + | 0.231088i | \(0.925771\pi\) | |||||||
\(710\) | 0.00145724 | − | 0.00252402i | 5.46893e−5 | − | 9.47247e-5i | ||||
\(711\) | −12.3375 | + | 18.0565i | −0.462691 | + | 0.677172i | ||||
\(712\) | − | 16.4571i | − | 0.616756i | ||||||
\(713\) | −18.4973 | + | 32.0382i | −0.692729 | + | 1.19984i | ||||
\(714\) | 11.1183 | − | 16.8377i | 0.416092 | − | 0.630136i | ||||
\(715\) | 0.0122434 | − | 0.0123209i | 0.000457877 | − | 0.000460776i | ||||
\(716\) | −4.97089 | + | 2.86994i | −0.185771 | + | 0.107255i | ||||
\(717\) | −17.3750 | + | 27.6212i | −0.648882 | + | 1.03153i | ||||
\(718\) | 6.80262 | + | 11.7825i | 0.253871 | + | 0.439718i | ||||
\(719\) | −19.8403 | + | 34.3644i | −0.739919 | + | 1.28158i | 0.212612 | + | 0.977137i | \(0.431803\pi\) |
−0.952531 | + | 0.304441i | \(0.901530\pi\) | |||||||
\(720\) | −0.00468869 | + | 0.00686214i | −0.000174737 | + | 0.000255737i | ||||
\(721\) | 22.6401 | − | 12.4127i | 0.843163 | − | 0.462272i | ||||
\(722\) | −8.96785 | + | 5.17759i | −0.333749 | + | 0.192690i | ||||
\(723\) | 1.12821 | − | 1.79352i | 0.0419584 | − | 0.0667017i | ||||
\(724\) | 0.834059i | 0.0309976i | ||||||||
\(725\) | −37.8511 | + | 21.8534i | −1.40576 | + | 0.811613i | ||||
\(726\) | −4.06348 | − | 7.69788i | −0.150810 | − | 0.285695i | ||||
\(727\) | 15.6289i | 0.579644i | 0.957081 | + | 0.289822i | \(0.0935961\pi\) | ||||
−0.957081 | + | 0.289822i | \(0.906404\pi\) | |||||||
\(728\) | −27.9146 | − | 8.04924i | −1.03458 | − | 0.298325i | ||||
\(729\) | −26.3047 | − | 6.08783i | −0.974249 | − | 0.225475i | ||||
\(730\) | 0.00378416 | 0.000140058 | ||||||||
\(731\) | 5.55049 | + | 9.61373i | 0.205292 | + | 0.355577i | ||||
\(732\) | 5.44122 | + | 10.3079i | 0.201113 | + | 0.380991i | ||||
\(733\) | −25.0179 | + | 14.4441i | −0.924055 | + | 0.533504i | −0.884927 | − | 0.465730i | \(-0.845792\pi\) |
−0.0391289 | + | 0.999234i | \(0.512458\pi\) | |||||||
\(734\) | 6.90732 | + | 11.9638i | 0.254954 | + | 0.441593i | ||||
\(735\) | 0.00191814 | − | 0.0233139i | 7.07518e−5 | − | 0.000859945i | ||||
\(736\) | 22.2918 | 0.821686 | ||||||||
\(737\) | 30.8230 | + | 17.7957i | 1.13538 | + | 0.655511i | ||||
\(738\) | −0.877157 | + | 11.5482i | −0.0322886 | + | 0.425097i | ||||
\(739\) | −7.56592 | − | 13.1046i | −0.278317 | − | 0.482059i | 0.692650 | − | 0.721274i | \(-0.256443\pi\) |
−0.970967 | + | 0.239215i | \(0.923110\pi\) | |||||||
\(740\) | −0.00313130 | − | 0.00542356i | −0.000115109 | − | 0.000199374i | ||||
\(741\) | 32.6650 | − | 7.54669i | 1.19998 | − | 0.277235i | ||||
\(742\) | −20.6899 | + | 34.0746i | −0.759549 | + | 1.25092i | ||||
\(743\) | 30.5018 | + | 17.6102i | 1.11900 | + | 0.646056i | 0.941146 | − | 0.338001i | \(-0.109751\pi\) |
0.177856 | + | 0.984057i | \(0.443084\pi\) | |||||||
\(744\) | 35.4314 | − | 18.7032i | 1.29898 | − | 0.685691i | ||||
\(745\) | − | 0.0138178i | − | 0.000506244i | ||||||
\(746\) | −5.60517 | − | 3.23614i | −0.205220 | − | 0.118484i | ||||
\(747\) | 13.5203 | + | 28.1480i | 0.494683 | + | 1.02988i | ||||
\(748\) | −8.01626 | + | 4.62819i | −0.293103 | + | 0.169223i | ||||
\(749\) | 0.319275 | − | 14.4495i | 0.0116660 | − | 0.527973i | ||||
\(750\) | 0.0187647 | − | 0.0298304i | 0.000685189 | − | 0.00108925i | ||||
\(751\) | 1.65351 | 0.0603375 | 0.0301687 | − | 0.999545i | \(-0.490396\pi\) | ||||
0.0301687 | + | 0.999545i | \(0.490396\pi\) | |||||||
\(752\) | −2.57291 | − | 4.45641i | −0.0938244 | − | 0.162509i | ||||
\(753\) | −0.580604 | + | 15.3100i | −0.0211584 | + | 0.557926i | ||||
\(754\) | −23.5762 | − | 23.4279i | −0.858595 | − | 0.853195i | ||||
\(755\) | 0.0314445 | 0.00114438 | ||||||||
\(756\) | 1.65265 | − | 12.0941i | 0.0601062 | − | 0.439859i | ||||
\(757\) | −7.44232 | + | 12.8905i | −0.270496 | + | 0.468513i | −0.968989 | − | 0.247104i | \(-0.920521\pi\) |
0.698493 | + | 0.715617i | \(0.253854\pi\) | |||||||
\(758\) | 11.7832 | + | 6.80303i | 0.427985 | + | 0.247097i | ||||
\(759\) | −0.798257 | + | 21.0493i | −0.0289749 | + | 0.764040i | ||||
\(760\) | 0.0315441 | 0.00114422 | ||||||||
\(761\) | 4.20006 | − | 7.27471i | 0.152252 | − | 0.263708i | −0.779803 | − | 0.626025i | \(-0.784681\pi\) |
0.932055 | + | 0.362317i | \(0.118014\pi\) | |||||||
\(762\) | −8.04799 | − | 15.2462i | −0.291548 | − | 0.552311i | ||||
\(763\) | 10.1212 | − | 16.6689i | 0.366413 | − | 0.603454i | ||||
\(764\) | 4.13646 | + | 2.38818i | 0.149652 | + | 0.0864015i | ||||
\(765\) | 0.0136339 | − | 0.0199540i | 0.000492936 | − | 0.000721437i | ||||
\(766\) | −8.43849 | − | 4.87196i | −0.304895 | − | 0.176031i | ||||
\(767\) | −4.82427 | + | 18.2343i | −0.174194 | + | 0.658403i | ||||
\(768\) | −24.1732 | − | 15.2061i | −0.872277 | − | 0.548703i | ||||
\(769\) | −40.4429 | − | 23.3497i | −1.45841 | − | 0.842013i | −0.459476 | − | 0.888190i | \(-0.651963\pi\) |
−0.998933 | + | 0.0461769i | \(0.985296\pi\) | |||||||
\(770\) | 0.00697617 | − | 0.0114892i | 0.000251404 | − | 0.000414043i | ||||
\(771\) | 16.0448 | + | 10.0929i | 0.577840 | + | 0.363488i | ||||
\(772\) | −9.38617 | − | 16.2573i | −0.337816 | − | 0.585114i | ||||
\(773\) | 34.7010 | 1.24811 | 0.624055 | − | 0.781381i | \(-0.285484\pi\) | ||||
0.624055 | + | 0.781381i | \(0.285484\pi\) | |||||||
\(774\) | −6.94514 | − | 4.74540i | −0.249638 | − | 0.170570i | ||||
\(775\) | −32.8889 | + | 18.9884i | −1.18140 | + | 0.682084i | ||||
\(776\) | 3.63995 | + | 6.30458i | 0.130667 | + | 0.226321i | ||||
\(777\) | −13.9798 | − | 9.23116i | −0.501523 | − | 0.331166i | ||||
\(778\) | −6.93262 | + | 12.0076i | −0.248546 | + | 0.430495i | ||||
\(779\) | 17.0194 | − | 9.82614i | 0.609783 | − | 0.352058i | ||||
\(780\) | −0.0102313 | − | 0.00312627i | −0.000366339 | − | 0.000111939i | ||||
\(781\) | −1.78829 | + | 3.09740i | −0.0639899 | + | 0.110834i | ||||
\(782\) | 21.4459 | 0.766902 | ||||||||
\(783\) | 27.0275 | − | 36.5050i | 0.965884 | − | 1.30458i | ||||
\(784\) | −10.0412 | − | 0.443956i | −0.358614 | − | 0.0158556i | ||||
\(785\) | − | 0.00908333i | − | 0.000324198i | ||||||
\(786\) | 11.3567 | + | 0.430683i | 0.405080 | + | 0.0153620i | ||||
\(787\) | 23.0530i | 0.821750i | 0.911692 | + | 0.410875i | \(0.134777\pi\) | ||||
−0.911692 | + | 0.410875i | \(0.865223\pi\) | |||||||
\(788\) | −19.9197 | − | 11.5006i | −0.709609 | − | 0.409693i | ||||
\(789\) | 22.0064 | + | 0.834554i | 0.783448 | + | 0.0297109i | ||||
\(790\) | 0.0128449 | + | 0.00741602i | 0.000457002 | + | 0.000263850i | ||||
\(791\) | −1.04659 | + | 0.573803i | −0.0372124 | + | 0.0204021i | ||||
\(792\) | 12.8698 | − | 18.8357i | 0.457310 | − | 0.669296i | ||||
\(793\) | 19.2622 | − | 19.3841i | 0.684021 | − | 0.688351i | ||||
\(794\) | −9.78631 | + | 16.9504i | −0.347303 | + | 0.601547i | ||||
\(795\) | −0.0254231 | + | 0.0404153i | −0.000901665 | + | 0.00143338i | ||||
\(796\) | 2.45785i | 0.0871163i | ||||||||
\(797\) | 18.0616 | + | 31.2836i | 0.639774 | + | 1.10812i | 0.985482 | + | 0.169779i | \(0.0543054\pi\) |
−0.345708 | + | 0.938342i | \(0.612361\pi\) | |||||||
\(798\) | 23.2049 | − | 11.6011i | 0.821446 | − | 0.410675i | ||||
\(799\) | 7.48159 | + | 12.9585i | 0.264680 | + | 0.458439i | ||||
\(800\) | 19.8178 | + | 11.4418i | 0.700666 | + | 0.404530i | ||||
\(801\) | −7.01910 | − | 14.6131i | −0.248008 | − | 0.516327i | ||||
\(802\) | −13.0272 | −0.460007 | ||||||||
\(803\) | −4.64382 | −0.163877 | ||||||||
\(804\) | 0.830730 | − | 21.9055i | 0.0292976 | − | 0.772549i | ||||
\(805\) | 0.0218016 | − | 0.0119530i | 0.000768406 | − | 0.000421286i | ||||
\(806\) | −20.4854 | − | 20.3566i | −0.721568 | − | 0.717029i | ||||
\(807\) | −33.9530 | − | 21.3580i | −1.19520 | − | 0.751837i | ||||
\(808\) | −47.6322 | + | 27.5004i | −1.67569 | + | 0.967462i | ||||
\(809\) | −25.7675 | + | 14.8769i | −0.905938 | + | 0.523044i | −0.879122 | − | 0.476597i | \(-0.841870\pi\) |
−0.0268161 | + | 0.999640i | \(0.508537\pi\) | |||||||
\(810\) | −0.00276585 | + | 0.0181019i | −9.71822e−5 | + | 0.000636038i | ||||
\(811\) | − | 17.0021i | − | 0.597025i | −0.954406 | − | 0.298512i | \(-0.903510\pi\) | ||
0.954406 | − | 0.298512i | \(-0.0964904\pi\) | |||||||
\(812\) | 17.5524 | + | 10.6577i | 0.615969 | + | 0.374012i | ||||
\(813\) | −24.2970 | + | 38.6251i | −0.852133 | + | 1.35464i | ||||
\(814\) | −4.81299 | − | 8.33634i | −0.168695 | − | 0.292189i | ||||
\(815\) | −0.00811564 | −0.000284279 | ||||||||
\(816\) | −8.78936 | − | 5.52892i | −0.307689 | − | 0.193551i | ||||
\(817\) | 14.2732i | 0.499358i | ||||||||
\(818\) | −6.08732 | −0.212838 | ||||||||
\(819\) | −28.2198 | + | 4.75851i | −0.986079 | + | 0.166276i | ||||
\(820\) | −0.00627123 | −0.000219001 | ||||||||
\(821\) | − | 29.3115i | − | 1.02298i | −0.859289 | − | 0.511490i | \(-0.829094\pi\) | ||
0.859289 | − | 0.511490i | \(-0.170906\pi\) | |||||||
\(822\) | 9.51821 | + | 5.98739i | 0.331986 | + | 0.208834i | ||||
\(823\) | −2.17785 | −0.0759149 | −0.0379575 | − | 0.999279i | \(-0.512085\pi\) | ||||
−0.0379575 | + | 0.999279i | \(0.512085\pi\) | |||||||
\(824\) | −14.8602 | − | 25.7386i | −0.517679 | − | 0.896647i | ||||
\(825\) | −11.5137 | + | 18.3035i | −0.400857 | + | 0.637245i | ||||
\(826\) | −0.322432 | + | 14.5924i | −0.0112188 | + | 0.507733i | ||||
\(827\) | 15.2048i | 0.528724i | 0.964424 | + | 0.264362i | \(0.0851613\pi\) | ||||
−0.964424 | + | 0.264362i | \(0.914839\pi\) | |||||||
\(828\) | 11.6948 | − | 5.61736i | 0.406422 | − | 0.195217i | ||||
\(829\) | −3.44342 | + | 1.98806i | −0.119595 | + | 0.0690483i | −0.558604 | − | 0.829434i | \(-0.688663\pi\) |
0.439009 | + | 0.898483i | \(0.355330\pi\) | |||||||
\(830\) | 0.0183413 | − | 0.0105893i | 0.000636635 | − | 0.000367562i | ||||
\(831\) | −6.45746 | − | 4.06205i | −0.224007 | − | 0.140911i | ||||
\(832\) | −7.09921 | + | 26.8329i | −0.246121 | + | 0.930265i | ||||
\(833\) | 29.1981 | + | 1.29095i | 1.01166 | + | 0.0447288i | ||||
\(834\) | 0.852559 | − | 22.4811i | 0.0295217 | − | 0.778458i | ||||
\(835\) | −0.0279759 | −0.000968148 | ||||||||
\(836\) | −11.9015 | −0.411623 | ||||||||
\(837\) | 23.4842 | − | 31.7193i | 0.811733 | − | 1.09638i | ||||
\(838\) | −32.1784 | − | 18.5782i | −1.11158 | − | 0.641773i | ||||
\(839\) | −17.0612 | − | 29.5509i | −0.589019 | − | 1.02021i | −0.994361 | − | 0.106046i | \(-0.966181\pi\) |
0.405342 | − | 0.914165i | \(-0.367152\pi\) | |||||||
\(840\) | −0.0268784 | − | 0.00161457i | −0.000927391 | − | 5.57080e-5i | ||||
\(841\) | 23.7056 | + | 41.0593i | 0.817434 | + | 1.41584i | ||||
\(842\) | 28.5049i | 0.982345i | ||||||||
\(843\) | −12.2577 | + | 19.4862i | −0.422179 | + | 0.671141i | ||||
\(844\) | −3.46853 | + | 6.00767i | −0.119392 | + | 0.206793i | ||||
\(845\) | 0.000158261 | 0.0250816i | 5.44436e−6 | 0.000862834i | ||||||
\(846\) | −9.36146 | − | 6.39640i | −0.321854 | − | 0.219913i | ||||
\(847\) | 6.54390 | − | 10.7773i | 0.224851 | − | 0.370313i | ||||
\(848\) | 17.7665 | + | 10.2575i | 0.610105 | + | 0.352244i | ||||
\(849\) | 28.3482 | + | 1.07506i | 0.972906 | + | 0.0368958i | ||||
\(850\) | 19.0658 | + | 11.0076i | 0.653951 | + | 0.377559i | ||||
\(851\) | − | 17.8058i | − | 0.610375i | ||||||
\(852\) | 2.20129 | + | 0.0834801i | 0.0754149 | + | 0.00285998i | ||||
\(853\) | 56.0005i | 1.91742i | 0.284387 | + | 0.958710i | \(0.408210\pi\) | ||||
−0.284387 | + | 0.958710i | \(0.591790\pi\) | |||||||
\(854\) | 10.9754 | − | 18.0757i | 0.375571 | − | 0.618537i | ||||
\(855\) | 0.0280095 | − | 0.0134538i | 0.000957904 | − | 0.000460111i | ||||
\(856\) | −16.6366 | −0.568626 | ||||||||
\(857\) | 7.20743 | − | 12.4836i | 0.246201 | − | 0.426433i | −0.716268 | − | 0.697826i | \(-0.754151\pi\) |
0.962469 | + | 0.271393i | \(0.0874843\pi\) | |||||||
\(858\) | −15.7261 | − | 4.80527i | −0.536881 | − | 0.164049i | ||||
\(859\) | 2.32454 | − | 1.34207i | 0.0793121 | − | 0.0457909i | −0.459819 | − | 0.888012i | \(-0.652086\pi\) |
0.539132 | + | 0.842222i | \(0.318753\pi\) | |||||||
\(860\) | 0.00227736 | − | 0.00394451i | 7.76574e−5 | − | 0.000134507i | ||||
\(861\) | −15.0050 | + | 7.50162i | −0.511368 | + | 0.255655i | ||||
\(862\) | 16.5183 | + | 28.6105i | 0.562615 | + | 0.974479i | ||||
\(863\) | 25.8619 | − | 14.9314i | 0.880349 | − | 0.508270i | 0.00957560 | − | 0.999954i | \(-0.496952\pi\) |
0.870773 | + | 0.491684i | \(0.163619\pi\) | |||||||
\(864\) | −23.6278 | − | 2.69849i | −0.803835 | − | 0.0918044i | ||||
\(865\) | −0.0302851 | −0.00102973 | ||||||||
\(866\) | 2.08172 | + | 3.60565i | 0.0707398 | + | 0.122525i | ||||
\(867\) | 0.634236 | + | 0.398964i | 0.0215398 | + | 0.0135495i | ||||
\(868\) | 15.2513 | + | 9.26048i | 0.517663 | + | 0.314321i | ||||
\(869\) | −15.7629 | − | 9.10072i | −0.534720 | − | 0.308721i | ||||
\(870\) | −0.0260758 | − | 0.0164029i | −0.000884051 | − | 0.000556109i | ||||
\(871\) | −49.6010 | + | 13.4584i | −1.68067 | + | 0.456021i | ||||
\(872\) | −19.4399 | − | 11.2236i | −0.658318 | − | 0.380080i | ||||
\(873\) | 5.92105 | + | 4.04567i | 0.200397 | + | 0.136925i | ||||
\(874\) | 23.8800 | + | 13.7872i | 0.807755 | + | 0.466357i | ||||
\(875\) | 0.0510345 | + | 0.00112765i | 0.00172528 | + | 3.81217e-5i | ||||
\(876\) | 1.33521 | + | 2.52943i | 0.0451125 | + | 0.0854614i | ||||
\(877\) | 5.77032 | − | 9.99449i | 0.194850 | − | 0.337490i | −0.752001 | − | 0.659162i | \(-0.770911\pi\) |
0.946851 | + | 0.321671i | \(0.104245\pi\) | |||||||
\(878\) | 32.5509 | 1.09854 | ||||||||
\(879\) | 1.30793 | − | 34.4889i | 0.0441154 | − | 1.16328i | ||||
\(880\) | −0.00599049 | − | 0.00345861i | −0.000201939 | − | 0.000116590i | ||||
\(881\) | 3.76362 | − | 6.51878i | 0.126800 | − | 0.219623i | −0.795635 | − | 0.605776i | \(-0.792863\pi\) |
0.922435 | + | 0.386153i | \(0.126196\pi\) | |||||||
\(882\) | −20.3665 | + | 8.69746i | −0.685775 | + | 0.292859i | ||||
\(883\) | −38.2310 | −1.28658 | −0.643289 | − | 0.765624i | \(-0.722430\pi\) | ||||
−0.643289 | + | 0.765624i | \(0.722430\pi\) | |||||||
\(884\) | 3.41872 | − | 12.9218i | 0.114984 | − | 0.434606i | ||||
\(885\) | −0.000662499 | 0.0174694i | −2.22696e−5 | 0.000587229i | ||||||
\(886\) | −9.91025 | − | 17.1651i | −0.332941 | − | 0.576672i | ||||
\(887\) | 28.6232 | 0.961074 | 0.480537 | − | 0.876974i | \(-0.340442\pi\) | ||||
0.480537 | + | 0.876974i | \(0.340442\pi\) | |||||||
\(888\) | −10.2677 | + | 16.3227i | −0.344562 | + | 0.547753i | ||||
\(889\) | 12.9606 | − | 21.3452i | 0.434686 | − | 0.715894i | ||||
\(890\) | −0.00952190 | + | 0.00549747i | −0.000319175 | + | 0.000184276i | ||||
\(891\) | 3.39418 | − | 22.2142i | 0.113709 | − | 0.744203i | ||||
\(892\) | 5.76092 | + | 3.32607i | 0.192890 | + | 0.111365i | ||||
\(893\) | 19.2391i | 0.643813i | ||||||||
\(894\) | −11.5685 | + | 6.10663i | −0.386907 | + | 0.204236i | ||||
\(895\) | 0.0108017 | + | 0.00623639i | 0.000361063 | + | 0.000208460i | ||||
\(896\) | 0.0605058 | − | 2.73832i | 0.00202136 | − | 0.0914809i | ||||
\(897\) | −20.7481 | − | 22.2426i | −0.692757 | − | 0.742659i | ||||
\(898\) | 3.01891 | + | 5.22890i | 0.100742 | + | 0.174491i | ||||
\(899\) | 33.1969 | + | 57.4987i | 1.10718 | + | 1.91769i | ||||
\(900\) | 13.2801 | + | 1.00870i | 0.442671 | + | 0.0336235i | ||||
\(901\) | −51.6621 | − | 29.8271i | −1.72111 | − | 0.993686i | ||||
\(902\) | −9.63925 | −0.320952 | ||||||||
\(903\) | 0.730571 | − | 12.1621i | 0.0243119 | − | 0.404729i | ||||
\(904\) | 0.686944 | + | 1.18982i | 0.0228474 | + | 0.0395729i | ||||
\(905\) | 0.00156959 | 0.000906206i | 5.21751e−5 | 3.01233e-5i | ||||||
\(906\) | −13.8966 | − | 26.3259i | −0.461684 | − | 0.874618i | ||||
\(907\) | 14.8995 | + | 25.8067i | 0.494730 | + | 0.856898i | 0.999982 | − | 0.00607461i | \(-0.00193362\pi\) |
−0.505252 | + | 0.862972i | \(0.668600\pi\) | |||||||
\(908\) | −7.58381 | −0.251678 | ||||||||
\(909\) | −30.5657 | + | 44.7345i | −1.01380 | + | 1.48375i | ||||
\(910\) | 0.00466763 | + | 0.0188399i | 0.000154730 | + | 0.000624537i | ||||
\(911\) | 28.3029i | 0.937717i | 0.883273 | + | 0.468859i | \(0.155335\pi\) | ||||
−0.883273 | + | 0.468859i | \(0.844665\pi\) | |||||||
\(912\) | −6.23255 | − | 11.8070i | −0.206380 | − | 0.390969i | ||||
\(913\) | −22.5079 | + | 12.9949i | −0.744903 | + | 0.430070i | ||||
\(914\) | 35.7482i | 1.18245i | ||||||||
\(915\) | 0.0134863 | − | 0.0214392i | 0.000445842 | − | 0.000708759i | ||||
\(916\) | 7.92044 | − | 4.57287i | 0.261699 | − | 0.151092i | ||||
\(917\) | 7.91400 | + | 14.4347i | 0.261343 | + | 0.476677i | ||||
\(918\) | −22.7312 | − | 2.59609i | −0.750241 | − | 0.0856836i | ||||
\(919\) | 24.5422 | − | 42.5083i | 0.809573 | − | 1.40222i | −0.103588 | − | 0.994620i | \(-0.533032\pi\) |
0.913160 | − | 0.407601i | \(-0.133634\pi\) | |||||||
\(920\) | −0.0143098 | − | 0.0247853i | −0.000471781 | − | 0.000817148i | ||||
\(921\) | 4.54960 | − | 7.23253i | 0.149914 | − | 0.238320i | ||||
\(922\) | −17.1318 | + | 9.89103i | −0.564205 | + | 0.325744i | ||||
\(923\) | −1.35244 | − | 4.98441i | −0.0445160 | − | 0.164064i | ||||
\(924\) | 10.1412 | + | 0.609175i | 0.333620 | + | 0.0200404i | ||||
\(925\) | 9.13928 | − | 15.8297i | 0.300498 | − | 0.520477i | ||||
\(926\) | − | 21.2918i | − | 0.699693i | ||||||
\(927\) | −24.1728 | − | 16.5166i | −0.793940 | − | 0.542475i | ||||
\(928\) | 20.0034 | − | 34.6469i | 0.656644 | − | 1.13734i | ||||
\(929\) | 10.3944 | − | 18.0037i | 0.341031 | − | 0.590682i | −0.643594 | − | 0.765367i | \(-0.722557\pi\) |
0.984624 | + | 0.174685i | \(0.0558907\pi\) | |||||||
\(930\) | −0.0226573 | − | 0.0142525i | −0.000742961 | − | 0.000467357i | ||||
\(931\) | 31.6823 | + | 20.2084i | 1.03835 | + | 0.662305i | ||||
\(932\) | 0.974015 | − | 0.562348i | 0.0319049 | − | 0.0184203i | ||||
\(933\) | 20.5012 | − | 10.8220i | 0.671180 | − | 0.354295i | ||||
\(934\) | 6.52555 | − | 3.76753i | 0.213522 | − | 0.123277i | ||||
\(935\) | 0.0174193 | + | 0.0100571i | 0.000569673 | + | 0.000328901i | ||||
\(936\) | 6.19366 | + | 32.3543i | 0.202446 | + | 1.05753i | ||||
\(937\) | 10.5891i | 0.345930i | 0.984928 | + | 0.172965i | \(0.0553347\pi\) | ||||
−0.984928 | + | 0.172965i | \(0.944665\pi\) | |||||||
\(938\) | −34.8736 | + | 19.1198i | −1.13866 | + | 0.624284i | ||||
\(939\) | 47.8853 | + | 1.81597i | 1.56268 | + | 0.0592619i | ||||
\(940\) | 0.00306969 | − | 0.00531686i | 0.000100122 | − | 0.000173417i | ||||
\(941\) | −21.4748 | + | 37.1955i | −0.700059 | + | 1.21254i | 0.268386 | + | 0.963311i | \(0.413510\pi\) |
−0.968445 | + | 0.249227i | \(0.919824\pi\) | |||||||
\(942\) | −7.60472 | + | 4.01430i | −0.247775 | + | 0.130793i | ||||
\(943\) | −15.4415 | − | 8.91517i | −0.502846 | − | 0.290318i | ||||
\(944\) | 7.51141 | 0.244475 | ||||||||
\(945\) | −0.0245552 | + | 0.0100302i | −0.000798781 | + | 0.000326282i | ||||
\(946\) | 3.50044 | − | 6.06294i | 0.113809 | − | 0.197123i | ||||
\(947\) | 49.0592i | 1.59421i | 0.603842 | + | 0.797104i | \(0.293636\pi\) | ||||
−0.603842 | + | 0.797104i | \(0.706364\pi\) | |||||||
\(948\) | −0.424837 | + | 11.2025i | −0.0137981 | + | 0.363841i | ||||
\(949\) | 4.72670 | − | 4.75662i | 0.153435 | − | 0.154406i | ||||
\(950\) | 14.1532 | + | 24.5141i | 0.459191 | + | 0.795342i | ||||
\(951\) | 25.6583 | + | 0.973047i | 0.832027 | + | 0.0315532i | ||||
\(952\) | 0.743175 | − | 33.6340i | 0.0240864 | − | 1.09008i | ||||
\(953\) | −28.5078 | + | 16.4590i | −0.923458 | + | 0.533159i | −0.884737 | − | 0.466091i | \(-0.845662\pi\) |
−0.0387215 | + | 0.999250i | \(0.512329\pi\) | |||||||
\(954\) | 45.0719 | + | 3.42347i | 1.45926 | + | 0.110839i | ||||
\(955\) | − | 0.0103791i | − | 0.000335858i | ||||||
\(956\) | 16.7278i | 0.541015i | ||||||||
\(957\) | 31.9994 | + | 20.1291i | 1.03439 | + | 0.650683i | ||||
\(958\) | 8.43802 | − | 4.87169i | 0.272620 | − | 0.157397i | ||||
\(959\) | −0.359809 | + | 16.2840i | −0.0116189 | + | 0.525837i | ||||
\(960\) | −0.000974908 | 0.0257074i | −3.14650e−5 | 0.000829701i | ||||||
\(961\) | 13.3448 | + | 23.1139i | 0.430478 | + | 0.745609i | ||||
\(962\) | 13.4377 | + | 3.55523i | 0.433250 | + | 0.114625i | ||||
\(963\) | −14.7724 | + | 7.09564i | −0.476034 | + | 0.228654i | ||||
\(964\) | − | 1.08618i | − | 0.0349835i | ||||||
\(965\) | −0.0203962 | + | 0.0353272i | −0.000656576 | + | 0.00113722i | ||||
\(966\) | −19.6422 | − | 12.9702i | −0.631979 | − | 0.417309i | ||||
\(967\) | 27.5780 | 0.886848 | 0.443424 | − | 0.896312i | \(-0.353764\pi\) | ||||
0.443424 | + | 0.896312i | \(0.353764\pi\) | |||||||
\(968\) | −12.5689 | − | 7.25666i | −0.403980 | − | 0.233238i | ||||
\(969\) | 18.1232 | + | 34.3328i | 0.582202 | + | 1.10293i | ||||
\(970\) | 0.00243184 | − | 0.00421207i | 7.80818e−5 | − | 0.000135242i | ||||
\(971\) | −17.2874 | + | 29.9426i | −0.554778 | + | 0.960904i | 0.443143 | + | 0.896451i | \(0.353864\pi\) |
−0.997921 | + | 0.0644528i | \(0.979470\pi\) | |||||||
\(972\) | −13.0757 | + | 4.53834i | −0.419403 | + | 0.145567i | ||||
\(973\) | 28.5743 | − | 15.6661i | 0.916050 | − | 0.502233i | ||||
\(974\) | 1.37257i | 0.0439798i | ||||||||
\(975\) | −7.02885 | − | 30.4236i | −0.225103 | − | 0.974334i | ||||
\(976\) | −9.42467 | − | 5.44133i | −0.301676 | − | 0.174173i | ||||
\(977\) | 50.1256 | − | 28.9400i | 1.60366 | − | 0.925874i | 0.612914 | − | 0.790150i | \(-0.289997\pi\) |
0.990747 | − | 0.135724i | \(-0.0433361\pi\) | |||||||
\(978\) | 3.58664 | + | 6.79455i | 0.114688 | + | 0.217266i | ||||
\(979\) | 11.6850 | − | 6.74634i | 0.373454 | − | 0.215614i | ||||
\(980\) | −0.00553127 | − | 0.0106398i | −0.000176690 | − | 0.000339876i | ||||
\(981\) | −22.0486 | − | 1.67472i | −0.703957 | − | 0.0534697i | ||||
\(982\) | −6.97052 | + | 12.0733i | −0.222438 | + | 0.385274i | ||||
\(983\) | 1.73371 | − | 3.00288i | 0.0552969 | − | 0.0957770i | −0.837052 | − | 0.547123i | \(-0.815723\pi\) |
0.892349 | + | 0.451347i | \(0.149056\pi\) | |||||||
\(984\) | 9.01440 | + | 17.0770i | 0.287369 | + | 0.544394i | ||||
\(985\) | 0.0499818i | 0.00159255i | ||||||||
\(986\) | 19.2443 | − | 33.3322i | 0.612864 | − | 1.06151i | ||||
\(987\) | 0.984748 | − | 16.3935i | 0.0313449 | − | 0.521810i | ||||
\(988\) | 12.1139 | − | 12.1906i | 0.385396 | − | 0.387835i | ||||
\(989\) | 11.2150 | − | 6.47499i | 0.356617 | − | 0.205893i | ||||
\(990\) | −0.0151973 | − | 0.00115432i | −0.000483001 | − | 3.66867e-5i | ||||
\(991\) | −4.47519 | − | 7.75126i | −0.142159 | − | 0.246227i | 0.786150 | − | 0.618035i | \(-0.212071\pi\) |
−0.928309 | + | 0.371809i | \(0.878738\pi\) | |||||||
\(992\) | 17.3810 | − | 30.1048i | 0.551847 | − | 0.955827i | ||||
\(993\) | −8.89757 | + | 4.69676i | −0.282356 | + | 0.149047i | ||||
\(994\) | −1.92135 | − | 3.50445i | −0.0609415 | − | 0.111154i | ||||
\(995\) | 0.00462537 | − | 0.00267046i | 0.000146634 | − | 8.46592e-5i | ||||
\(996\) | 13.5497 | + | 8.52341i | 0.429339 | + | 0.270075i | ||||
\(997\) | 3.25743i | 0.103164i | 0.998669 | + | 0.0515818i | \(0.0164263\pi\) | ||||
−0.998669 | + | 0.0515818i | \(0.983574\pi\) | |||||||
\(998\) | −5.81243 | + | 3.35581i | −0.183989 | + | 0.106226i | ||||
\(999\) | −2.15545 | + | 18.8730i | −0.0681953 | + | 0.597114i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 273.2.r.b.269.22 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.r.b.269.11 | yes | 64 | |
7.5 | odd | 6 | 273.2.bf.b.152.22 | yes | 64 | ||
13.3 | even | 3 | 273.2.bf.b.185.11 | yes | 64 | ||
21.5 | even | 6 | 273.2.bf.b.152.11 | yes | 64 | ||
39.29 | odd | 6 | 273.2.bf.b.185.22 | yes | 64 | ||
91.68 | odd | 6 | inner | 273.2.r.b.68.22 | yes | 64 | |
273.68 | even | 6 | inner | 273.2.r.b.68.11 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.11 | ✓ | 64 | 273.68 | even | 6 | inner | |
273.2.r.b.68.22 | yes | 64 | 91.68 | odd | 6 | inner | |
273.2.r.b.269.11 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.r.b.269.22 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bf.b.152.11 | yes | 64 | 21.5 | even | 6 | ||
273.2.bf.b.152.22 | yes | 64 | 7.5 | odd | 6 | ||
273.2.bf.b.185.11 | yes | 64 | 13.3 | even | 3 | ||
273.2.bf.b.185.22 | yes | 64 | 39.29 | odd | 6 |