Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), degree \(6\), 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: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{14})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Root | \(0.222521 - 0.974928i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 43.4 |
Dual form | 43.2.e.b.11.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.626980i | 0.353553 | − | 0.443342i | −0.572972 | − | 0.819575i | \(-0.694209\pi\) |
0.926525 | + | 0.376233i | \(0.122781\pi\) | |||||||
\(3\) | −2.02446 | − | 2.53859i | −1.16882 | − | 1.46566i | −0.856851 | − | 0.515564i | \(-0.827582\pi\) |
−0.311971 | − | 0.950092i | \(-0.600989\pi\) | |||||||
\(4\) | 0.301938 | + | 1.32288i | 0.150969 | + | 0.661438i | ||||
\(5\) | 1.80194 | + | 0.867767i | 0.805851 | + | 0.388077i | 0.791003 | − | 0.611812i | \(-0.209559\pi\) |
0.0148481 | + | 0.999890i | \(0.495274\pi\) | |||||||
\(6\) | −2.60388 | −1.06303 | ||||||||
\(7\) | −1.19806 | −0.452825 | −0.226412 | − | 0.974032i | \(-0.572700\pi\) | ||||
−0.226412 | + | 0.974032i | \(0.572700\pi\) | |||||||
\(8\) | 2.42543 | + | 1.16802i | 0.857518 | + | 0.412959i | ||||
\(9\) | −1.67845 | + | 7.35376i | −0.559483 | + | 2.45125i | ||||
\(10\) | 1.44504 | − | 0.695895i | 0.456962 | − | 0.220061i | ||||
\(11\) | 0.0745725 | − | 0.326723i | 0.0224844 | − | 0.0985108i | −0.962441 | − | 0.271492i | \(-0.912483\pi\) |
0.984925 | + | 0.172981i | \(0.0553400\pi\) | |||||||
\(12\) | 2.74698 | − | 3.44460i | 0.792985 | − | 0.994371i | ||||
\(13\) | −4.54892 | − | 2.19064i | −1.26164 | − | 0.607575i | −0.321034 | − | 0.947068i | \(-0.604030\pi\) |
−0.940609 | + | 0.339493i | \(0.889745\pi\) | |||||||
\(14\) | −0.599031 | + | 0.751161i | −0.160098 | + | 0.200756i | ||||
\(15\) | −1.44504 | − | 6.33114i | −0.373108 | − | 1.63469i | ||||
\(16\) | −0.500000 | + | 0.240787i | −0.125000 | + | 0.0601968i | ||||
\(17\) | 1.44504 | − | 0.695895i | 0.350474 | − | 0.168779i | −0.250361 | − | 0.968153i | \(-0.580549\pi\) |
0.600835 | + | 0.799373i | \(0.294835\pi\) | |||||||
\(18\) | 3.77144 | + | 4.72923i | 0.888937 | + | 1.11469i | ||||
\(19\) | −0.211636 | − | 0.927237i | −0.0485526 | − | 0.212723i | 0.944832 | − | 0.327554i | \(-0.106224\pi\) |
−0.993385 | + | 0.114831i | \(0.963367\pi\) | |||||||
\(20\) | −0.603875 | + | 2.64575i | −0.135031 | + | 0.591608i | ||||
\(21\) | 2.42543 | + | 3.04139i | 0.529272 | + | 0.663686i | ||||
\(22\) | −0.167563 | − | 0.210117i | −0.0357245 | − | 0.0447971i | ||||
\(23\) | −0.791053 | + | 3.46583i | −0.164946 | + | 0.722675i | 0.823021 | + | 0.568011i | \(0.192287\pi\) |
−0.987967 | + | 0.154664i | \(0.950570\pi\) | |||||||
\(24\) | −1.94504 | − | 8.52179i | −0.397030 | − | 1.73950i | ||||
\(25\) | −0.623490 | − | 0.781831i | −0.124698 | − | 0.156366i | ||||
\(26\) | −3.64795 | + | 1.75676i | −0.715422 | + | 0.344529i | ||||
\(27\) | 13.2899 | − | 6.40006i | 2.55763 | − | 1.23169i | ||||
\(28\) | −0.361740 | − | 1.58489i | −0.0683625 | − | 0.299516i | ||||
\(29\) | 3.02446 | − | 3.79255i | 0.561628 | − | 0.704259i | −0.417230 | − | 0.908801i | \(-0.636999\pi\) |
0.978858 | + | 0.204542i | \(0.0655705\pi\) | |||||||
\(30\) | −4.69202 | − | 2.25956i | −0.856642 | − | 0.412537i | ||||
\(31\) | −2.83244 | + | 3.55176i | −0.508721 | + | 0.637916i | −0.968172 | − | 0.250288i | \(-0.919475\pi\) |
0.459451 | + | 0.888203i | \(0.348046\pi\) | |||||||
\(32\) | −1.29709 | + | 5.68294i | −0.229296 | + | 1.00461i | ||||
\(33\) | −0.980386 | + | 0.472129i | −0.170663 | + | 0.0821871i | ||||
\(34\) | 0.286208 | − | 1.25396i | 0.0490843 | − | 0.215052i | ||||
\(35\) | −2.15883 | − | 1.03964i | −0.364909 | − | 0.175731i | ||||
\(36\) | −10.2349 | −1.70582 | ||||||||
\(37\) | 4.52111 | 0.743265 | 0.371633 | − | 0.928380i | \(-0.378798\pi\) | ||||
0.371633 | + | 0.928380i | \(0.378798\pi\) | |||||||
\(38\) | −0.687177 | − | 0.330927i | −0.111475 | − | 0.0536835i | ||||
\(39\) | 3.64795 | + | 15.9827i | 0.584139 | + | 2.55928i | ||||
\(40\) | 3.35690 | + | 4.20941i | 0.530772 | + | 0.665567i | ||||
\(41\) | 3.60992 | − | 4.52669i | 0.563774 | − | 0.706950i | −0.415476 | − | 0.909604i | \(-0.636385\pi\) |
0.979251 | + | 0.202654i | \(0.0649565\pi\) | |||||||
\(42\) | 3.11960 | 0.481365 | ||||||||
\(43\) | −2.57457 | − | 6.03089i | −0.392619 | − | 0.919701i | ||||
\(44\) | 0.454731 | 0.0685532 | ||||||||
\(45\) | −9.40581 | + | 11.7945i | −1.40214 | + | 1.75822i | ||||
\(46\) | 1.77748 | + | 2.22889i | 0.262075 | + | 0.328632i | ||||
\(47\) | 0.222521 | + | 0.974928i | 0.0324580 | + | 0.142208i | 0.988561 | − | 0.150824i | \(-0.0481928\pi\) |
−0.956103 | + | 0.293032i | \(0.905336\pi\) | |||||||
\(48\) | 1.62349 | + | 0.781831i | 0.234331 | + | 0.112848i | ||||
\(49\) | −5.56465 | −0.794950 | ||||||||
\(50\) | −0.801938 | −0.113411 | ||||||||
\(51\) | −4.69202 | − | 2.25956i | −0.657014 | − | 0.316401i | ||||
\(52\) | 1.52446 | − | 6.67909i | 0.211404 | − | 0.926223i | ||||
\(53\) | −2.40097 | + | 1.15625i | −0.329798 | + | 0.158823i | −0.591454 | − | 0.806339i | \(-0.701446\pi\) |
0.261656 | + | 0.965161i | \(0.415732\pi\) | |||||||
\(54\) | 2.63222 | − | 11.5325i | 0.358200 | − | 1.56938i | ||||
\(55\) | 0.417895 | − | 0.524023i | 0.0563489 | − | 0.0706593i | ||||
\(56\) | −2.90581 | − | 1.39937i | −0.388306 | − | 0.186998i | ||||
\(57\) | −1.92543 | + | 2.41441i | −0.255029 | + | 0.319796i | ||||
\(58\) | −0.865625 | − | 3.79255i | −0.113662 | − | 0.497986i | ||||
\(59\) | 11.1773 | − | 5.38268i | 1.45515 | − | 0.700765i | 0.471673 | − | 0.881774i | \(-0.343650\pi\) |
0.983482 | + | 0.181008i | \(0.0579361\pi\) | |||||||
\(60\) | 7.93900 | − | 3.82322i | 1.02492 | − | 0.493576i | ||||
\(61\) | 2.88740 | + | 3.62068i | 0.369693 | + | 0.463580i | 0.931528 | − | 0.363669i | \(-0.118476\pi\) |
−0.561835 | + | 0.827249i | \(0.689905\pi\) | |||||||
\(62\) | 0.810667 | + | 3.55176i | 0.102955 | + | 0.451074i | ||||
\(63\) | 2.01089 | − | 8.81026i | 0.253348 | − | 1.10999i | ||||
\(64\) | 2.22252 | + | 2.78695i | 0.277815 | + | 0.348369i | ||||
\(65\) | −6.29590 | − | 7.89481i | −0.780910 | − | 0.979230i | ||||
\(66\) | −0.194177 | + | 0.850747i | −0.0239016 | + | 0.104720i | ||||
\(67\) | 1.48039 | + | 6.48599i | 0.180858 | + | 0.792390i | 0.981223 | + | 0.192877i | \(0.0617819\pi\) |
−0.800365 | + | 0.599513i | \(0.795361\pi\) | |||||||
\(68\) | 1.35690 | + | 1.70149i | 0.164548 | + | 0.206336i | ||||
\(69\) | 10.3998 | − | 5.00827i | 1.25199 | − | 0.602924i | ||||
\(70\) | −1.73125 | + | 0.833726i | −0.206924 | + | 0.0996493i | ||||
\(71\) | 0.149145 | + | 0.653447i | 0.0177002 | + | 0.0775498i | 0.983007 | − | 0.183570i | \(-0.0587654\pi\) |
−0.965306 | + | 0.261120i | \(0.915908\pi\) | |||||||
\(72\) | −12.6603 | + | 15.8755i | −1.49203 | + | 1.87095i | ||||
\(73\) | 5.02446 | + | 2.41965i | 0.588068 | + | 0.283199i | 0.704162 | − | 0.710039i | \(-0.251323\pi\) |
−0.116093 | + | 0.993238i | \(0.537037\pi\) | |||||||
\(74\) | 2.26055 | − | 2.83464i | 0.262784 | − | 0.329521i | ||||
\(75\) | −0.722521 | + | 3.16557i | −0.0834295 | + | 0.365529i | ||||
\(76\) | 1.16272 | − | 0.559936i | 0.133373 | − | 0.0642290i | ||||
\(77\) | −0.0893425 | + | 0.391435i | −0.0101815 | + | 0.0446081i | ||||
\(78\) | 11.8448 | + | 5.70416i | 1.34116 | + | 0.645869i | ||||
\(79\) | 4.38404 | 0.493243 | 0.246622 | − | 0.969112i | \(-0.420679\pi\) | ||||
0.246622 | + | 0.969112i | \(0.420679\pi\) | |||||||
\(80\) | −1.10992 | −0.124092 | ||||||||
\(81\) | −22.7642 | − | 10.9627i | −2.52936 | − | 1.21807i | ||||
\(82\) | −1.03319 | − | 4.52669i | −0.114097 | − | 0.499889i | ||||
\(83\) | −3.79440 | − | 4.75803i | −0.416490 | − | 0.522262i | 0.528689 | − | 0.848816i | \(-0.322684\pi\) |
−0.945179 | + | 0.326554i | \(0.894113\pi\) | |||||||
\(84\) | −3.29105 | + | 4.12685i | −0.359083 | + | 0.450276i | ||||
\(85\) | 3.20775 | 0.347929 | ||||||||
\(86\) | −5.06853 | − | 1.40124i | −0.546554 | − | 0.151099i | ||||
\(87\) | −15.7506 | −1.68864 | ||||||||
\(88\) | 0.562491 | − | 0.705341i | 0.0599617 | − | 0.0751896i | ||||
\(89\) | −8.71797 | − | 10.9320i | −0.924103 | − | 1.15879i | −0.986992 | − | 0.160768i | \(-0.948603\pi\) |
0.0628890 | − | 0.998021i | \(-0.479969\pi\) | |||||||
\(90\) | 2.69202 | + | 11.7945i | 0.283764 | + | 1.24325i | ||||
\(91\) | 5.44989 | + | 2.62453i | 0.571303 | + | 0.275125i | ||||
\(92\) | −4.82371 | −0.502906 | ||||||||
\(93\) | 14.7506 | 1.52957 | ||||||||
\(94\) | 0.722521 | + | 0.347948i | 0.0745223 | + | 0.0358881i | ||||
\(95\) | 0.423272 | − | 1.85447i | 0.0434268 | − | 0.190265i | ||||
\(96\) | 17.0526 | − | 8.21208i | 1.74042 | − | 0.838142i | ||||
\(97\) | −3.38189 | + | 14.8170i | −0.343379 | + | 1.50444i | 0.448512 | + | 0.893777i | \(0.351954\pi\) |
−0.791891 | + | 0.610663i | \(0.790903\pi\) | |||||||
\(98\) | −2.78232 | + | 3.48892i | −0.281057 | + | 0.352434i | ||||
\(99\) | 2.27748 | + | 1.09678i | 0.228895 | + | 0.110230i | ||||
\(100\) | 0.846011 | − | 1.06086i | 0.0846011 | − | 0.106086i | ||||
\(101\) | 3.55765 | + | 15.5871i | 0.353999 | + | 1.55097i | 0.767852 | + | 0.640627i | \(0.221326\pi\) |
−0.413853 | + | 0.910344i | \(0.635817\pi\) | |||||||
\(102\) | −3.76271 | + | 1.81203i | −0.372564 | + | 0.179417i | ||||
\(103\) | −13.5918 | + | 6.54546i | −1.33924 | + | 0.644944i | −0.959907 | − | 0.280317i | \(-0.909560\pi\) |
−0.379332 | + | 0.925261i | \(0.623846\pi\) | |||||||
\(104\) | −8.47434 | − | 10.6265i | −0.830978 | − | 1.04201i | ||||
\(105\) | 1.73125 | + | 7.58510i | 0.168953 | + | 0.740230i | ||||
\(106\) | −0.475541 | + | 2.08348i | −0.0461887 | + | 0.202366i | ||||
\(107\) | 2.29105 | + | 2.87289i | 0.221484 | + | 0.277733i | 0.880142 | − | 0.474710i | \(-0.157447\pi\) |
−0.658658 | + | 0.752442i | \(0.728876\pi\) | |||||||
\(108\) | 12.4792 | + | 15.6484i | 1.20081 | + | 1.50577i | ||||
\(109\) | 1.25182 | − | 5.48460i | 0.119903 | − | 0.525329i | −0.878926 | − | 0.476957i | \(-0.841740\pi\) |
0.998829 | − | 0.0483719i | \(-0.0154033\pi\) | |||||||
\(110\) | −0.119605 | − | 0.524023i | −0.0114039 | − | 0.0499637i | ||||
\(111\) | −9.15279 | − | 11.4772i | −0.868745 | − | 1.08937i | ||||
\(112\) | 0.599031 | − | 0.288478i | 0.0566031 | − | 0.0272586i | ||||
\(113\) | 2.26659 | − | 1.09153i | 0.213223 | − | 0.102683i | −0.324224 | − | 0.945980i | \(-0.605103\pi\) |
0.537447 | + | 0.843298i | \(0.319389\pi\) | |||||||
\(114\) | 0.551073 | + | 2.41441i | 0.0516127 | + | 0.226130i | ||||
\(115\) | −4.43296 | + | 5.55876i | −0.413376 | + | 0.518357i | ||||
\(116\) | 5.93027 | + | 2.85587i | 0.550612 | + | 0.265161i | ||||
\(117\) | 23.7446 | − | 29.7748i | 2.19519 | − | 2.75268i | ||||
\(118\) | 2.21379 | − | 9.69926i | 0.203796 | − | 0.892889i | ||||
\(119\) | −1.73125 | + | 0.833726i | −0.158703 | + | 0.0764275i | ||||
\(120\) | 3.89008 | − | 17.0436i | 0.355114 | − | 1.55586i | ||||
\(121\) | 9.80947 | + | 4.72399i | 0.891770 | + | 0.429454i | ||||
\(122\) | 3.71379 | 0.336231 | ||||||||
\(123\) | −18.7995 | −1.69510 | ||||||||
\(124\) | −5.55376 | − | 2.67455i | −0.498743 | − | 0.240182i | ||||
\(125\) | −2.67025 | − | 11.6991i | −0.238835 | − | 1.04640i | ||||
\(126\) | −4.51842 | − | 5.66592i | −0.402533 | − | 0.504760i | ||||
\(127\) | 2.91454 | − | 3.65472i | 0.258624 | − | 0.324304i | −0.635520 | − | 0.772085i | \(-0.719214\pi\) |
0.894143 | + | 0.447781i | \(0.147785\pi\) | |||||||
\(128\) | −8.79954 | −0.777777 | ||||||||
\(129\) | −10.0978 | + | 18.7451i | −0.889065 | + | 1.65041i | ||||
\(130\) | −8.09783 | −0.710227 | ||||||||
\(131\) | −2.74094 | + | 3.43703i | −0.239477 | + | 0.300295i | −0.887017 | − | 0.461737i | \(-0.847226\pi\) |
0.647540 | + | 0.762031i | \(0.275798\pi\) | |||||||
\(132\) | −0.920583 | − | 1.15437i | −0.0801265 | − | 0.100475i | ||||
\(133\) | 0.253553 | + | 1.11089i | 0.0219858 | + | 0.0963262i | ||||
\(134\) | 4.80678 | + | 2.31482i | 0.415243 | + | 0.199970i | ||||
\(135\) | 29.5013 | 2.53906 | ||||||||
\(136\) | 4.31767 | 0.370237 | ||||||||
\(137\) | −5.06853 | − | 2.44088i | −0.433034 | − | 0.208538i | 0.204652 | − | 0.978835i | \(-0.434394\pi\) |
−0.637686 | + | 0.770297i | \(0.720108\pi\) | |||||||
\(138\) | 2.05980 | − | 9.02458i | 0.175342 | − | 0.768224i | ||||
\(139\) | −14.9046 | + | 7.17769i | −1.26419 | + | 0.608803i | −0.941281 | − | 0.337625i | \(-0.890376\pi\) |
−0.322913 | + | 0.946429i | \(0.604662\pi\) | |||||||
\(140\) | 0.723480 | − | 3.16977i | 0.0611453 | − | 0.267895i | ||||
\(141\) | 2.02446 | − | 2.53859i | 0.170490 | − | 0.213788i | ||||
\(142\) | 0.484271 | + | 0.233212i | 0.0406391 | + | 0.0195707i | ||||
\(143\) | −1.05496 | + | 1.32288i | −0.0882200 | + | 0.110624i | ||||
\(144\) | −0.931468 | − | 4.08103i | −0.0776224 | − | 0.340086i | ||||
\(145\) | 8.74094 | − | 4.20941i | 0.725895 | − | 0.349573i | ||||
\(146\) | 4.02930 | − | 1.94041i | 0.333467 | − | 0.160589i | ||||
\(147\) | 11.2654 | + | 14.1264i | 0.929154 | + | 1.16512i | ||||
\(148\) | 1.36509 | + | 5.98086i | 0.112210 | + | 0.491624i | ||||
\(149\) | −2.00484 | + | 8.78380i | −0.164243 | + | 0.719597i | 0.823985 | + | 0.566611i | \(0.191746\pi\) |
−0.988228 | + | 0.152985i | \(0.951111\pi\) | |||||||
\(150\) | 1.62349 | + | 2.03579i | 0.132557 | + | 0.166222i | ||||
\(151\) | −1.80194 | − | 2.25956i | −0.146640 | − | 0.183880i | 0.703087 | − | 0.711104i | \(-0.251804\pi\) |
−0.849727 | + | 0.527224i | \(0.823233\pi\) | |||||||
\(152\) | 0.569728 | − | 2.49614i | 0.0462111 | − | 0.202464i | ||||
\(153\) | 2.69202 | + | 11.7945i | 0.217637 | + | 0.953530i | ||||
\(154\) | 0.200751 | + | 0.251733i | 0.0161769 | + | 0.0202853i | ||||
\(155\) | −8.18598 | + | 3.94216i | −0.657514 | + | 0.316642i | ||||
\(156\) | −20.0417 | + | 9.65156i | −1.60462 | + | 0.772744i | ||||
\(157\) | −5.14310 | − | 22.5334i | −0.410464 | − | 1.79836i | −0.582005 | − | 0.813185i | \(-0.697732\pi\) |
0.171541 | − | 0.985177i | \(-0.445125\pi\) | |||||||
\(158\) | 2.19202 | − | 2.74871i | 0.174388 | − | 0.218675i | ||||
\(159\) | 7.79590 | + | 3.75431i | 0.618255 | + | 0.297736i | ||||
\(160\) | −7.26875 | + | 9.11472i | −0.574645 | + | 0.720582i | ||||
\(161\) | 0.947730 | − | 4.15228i | 0.0746916 | − | 0.327245i | ||||
\(162\) | −18.2555 | + | 8.79137i | −1.43429 | + | 0.690715i | ||||
\(163\) | 2.79494 | − | 12.2454i | 0.218916 | − | 0.959135i | −0.739364 | − | 0.673306i | \(-0.764874\pi\) |
0.958280 | − | 0.285830i | \(-0.0922691\pi\) | |||||||
\(164\) | 7.07822 | + | 3.40869i | 0.552716 | + | 0.266174i | ||||
\(165\) | −2.17629 | −0.169424 | ||||||||
\(166\) | −4.88040 | −0.378792 | ||||||||
\(167\) | 20.0613 | + | 9.66101i | 1.55239 | + | 0.747591i | 0.996494 | − | 0.0836609i | \(-0.0266613\pi\) |
0.555895 | + | 0.831252i | \(0.312376\pi\) | |||||||
\(168\) | 2.33028 | + | 10.2096i | 0.179785 | + | 0.787690i | ||||
\(169\) | 7.78836 | + | 9.76630i | 0.599105 | + | 0.751254i | ||||
\(170\) | 1.60388 | − | 2.01120i | 0.123012 | − | 0.154252i | ||||
\(171\) | 7.17390 | 0.548602 | ||||||||
\(172\) | 7.20075 | − | 5.22679i | 0.549052 | − | 0.398539i | ||||
\(173\) | 2.18598 | 0.166197 | 0.0830985 | − | 0.996541i | \(-0.473518\pi\) | ||||
0.0830985 | + | 0.996541i | \(0.473518\pi\) | |||||||
\(174\) | −7.87531 | + | 9.87533i | −0.597026 | + | 0.748647i | ||||
\(175\) | 0.746980 | + | 0.936683i | 0.0564664 | + | 0.0708066i | ||||
\(176\) | 0.0413846 | + | 0.181318i | 0.00311948 | + | 0.0136673i | ||||
\(177\) | −36.2923 | − | 17.4775i | −2.72790 | − | 1.31369i | ||||
\(178\) | −11.2131 | −0.840459 | ||||||||
\(179\) | 10.2174 | 0.763687 | 0.381844 | − | 0.924227i | \(-0.375289\pi\) | ||||
0.381844 | + | 0.924227i | \(0.375289\pi\) | |||||||
\(180\) | −18.4426 | − | 8.88151i | −1.37463 | − | 0.661989i | ||||
\(181\) | 2.95473 | − | 12.9455i | 0.219623 | − | 0.962233i | −0.738134 | − | 0.674654i | \(-0.764293\pi\) |
0.957757 | − | 0.287578i | \(-0.0928502\pi\) | |||||||
\(182\) | 4.37047 | − | 2.10471i | 0.323961 | − | 0.156011i | ||||
\(183\) | 3.34601 | − | 14.6598i | 0.247344 | − | 1.08369i | ||||
\(184\) | −5.96681 | + | 7.48215i | −0.439879 | + | 0.551591i | ||||
\(185\) | 8.14675 | + | 3.92327i | 0.598961 | + | 0.288444i | ||||
\(186\) | 7.37531 | − | 9.24835i | 0.540784 | − | 0.678122i | ||||
\(187\) | −0.119605 | − | 0.524023i | −0.00874638 | − | 0.0383204i | ||||
\(188\) | −1.22252 | + | 0.588735i | −0.0891615 | + | 0.0429379i | ||||
\(189\) | −15.9221 | + | 7.66767i | −1.15816 | + | 0.557741i | ||||
\(190\) | −0.951083 | − | 1.19262i | −0.0689988 | − | 0.0865217i | ||||
\(191\) | 4.76928 | + | 20.8956i | 0.345093 | + | 1.51195i | 0.788164 | + | 0.615465i | \(0.211032\pi\) |
−0.443071 | + | 0.896487i | \(0.646111\pi\) | |||||||
\(192\) | 2.57553 | − | 11.2841i | 0.185873 | − | 0.814363i | ||||
\(193\) | −5.45257 | − | 6.83731i | −0.392485 | − | 0.492161i | 0.545853 | − | 0.837881i | \(-0.316206\pi\) |
−0.938337 | + | 0.345721i | \(0.887634\pi\) | |||||||
\(194\) | 7.59903 | + | 9.52888i | 0.545579 | + | 0.684134i | ||||
\(195\) | −7.29590 | + | 31.9654i | −0.522470 | + | 2.28909i | ||||
\(196\) | −1.68018 | − | 7.36134i | −0.120013 | − | 0.525810i | ||||
\(197\) | 11.5571 | + | 14.4922i | 0.823410 | + | 1.03252i | 0.998846 | + | 0.0480329i | \(0.0152952\pi\) |
−0.175435 | + | 0.984491i | \(0.556133\pi\) | |||||||
\(198\) | 1.82640 | − | 0.879546i | 0.129796 | − | 0.0625066i | ||||
\(199\) | 3.08211 | − | 1.48426i | 0.218485 | − | 0.105217i | −0.321440 | − | 0.946930i | \(-0.604167\pi\) |
0.539925 | + | 0.841713i | \(0.318453\pi\) | |||||||
\(200\) | −0.599031 | − | 2.62453i | −0.0423579 | − | 0.185582i | ||||
\(201\) | 13.4683 | − | 16.8887i | 0.949981 | − | 1.19124i | ||||
\(202\) | 11.5516 | + | 5.56296i | 0.812768 | + | 0.391409i | ||||
\(203\) | −3.62349 | + | 4.54371i | −0.254319 | + | 0.318906i | ||||
\(204\) | 1.57242 | − | 6.88921i | 0.110091 | − | 0.482341i | ||||
\(205\) | 10.4330 | − | 5.02425i | 0.728670 | − | 0.350909i | ||||
\(206\) | −2.69202 | + | 11.7945i | −0.187562 | + | 0.821763i | ||||
\(207\) | −24.1591 | − | 11.6344i | −1.67918 | − | 0.808648i | ||||
\(208\) | 2.80194 | 0.194279 | ||||||||
\(209\) | −0.318732 | −0.0220472 | ||||||||
\(210\) | 5.62133 | + | 2.70709i | 0.387909 | + | 0.186807i | ||||
\(211\) | −1.98158 | − | 8.68188i | −0.136418 | − | 0.597685i | −0.996205 | − | 0.0870334i | \(-0.972261\pi\) |
0.859788 | − | 0.510652i | \(-0.170596\pi\) | |||||||
\(212\) | −2.25451 | − | 2.82707i | −0.154841 | − | 0.194164i | ||||
\(213\) | 1.35690 | − | 1.70149i | 0.0929730 | − | 0.116584i | ||||
\(214\) | 2.94677 | 0.201437 | ||||||||
\(215\) | 0.594187 | − | 13.1014i | 0.0405232 | − | 0.893509i | ||||
\(216\) | 39.7090 | 2.70186 | ||||||||
\(217\) | 3.39344 | − | 4.25523i | 0.230361 | − | 0.288864i | ||||
\(218\) | −2.81282 | − | 3.52717i | −0.190508 | − | 0.238890i | ||||
\(219\) | −4.02930 | − | 17.6535i | −0.272275 | − | 1.19292i | ||||
\(220\) | 0.819396 | + | 0.394600i | 0.0552437 | + | 0.0266040i | ||||
\(221\) | −8.09783 | −0.544719 | ||||||||
\(222\) | −11.7724 | −0.790112 | ||||||||
\(223\) | 4.40581 | + | 2.12173i | 0.295035 | + | 0.142081i | 0.575546 | − | 0.817769i | \(-0.304790\pi\) |
−0.280511 | + | 0.959851i | \(0.590504\pi\) | |||||||
\(224\) | 1.55400 | − | 6.80851i | 0.103831 | − | 0.454913i | ||||
\(225\) | 6.79590 | − | 3.27273i | 0.453060 | − | 0.218182i | ||||
\(226\) | 0.448927 | − | 1.96688i | 0.0298622 | − | 0.130835i | ||||
\(227\) | −2.58964 | + | 3.24730i | −0.171880 | + | 0.215531i | −0.860309 | − | 0.509773i | \(-0.829729\pi\) |
0.688429 | + | 0.725304i | \(0.258301\pi\) | |||||||
\(228\) | −3.77532 | − | 1.81810i | −0.250027 | − | 0.120407i | ||||
\(229\) | −12.1881 | + | 15.2834i | −0.805415 | + | 1.00996i | 0.194165 | + | 0.980969i | \(0.437800\pi\) |
−0.999580 | + | 0.0289892i | \(0.990771\pi\) | |||||||
\(230\) | 1.26875 | + | 5.55876i | 0.0836589 | + | 0.366534i | ||||
\(231\) | 1.17456 | − | 0.565640i | 0.0772806 | − | 0.0372164i | ||||
\(232\) | 11.7654 | − | 5.66592i | 0.772436 | − | 0.371986i | ||||
\(233\) | −4.83728 | − | 6.06576i | −0.316901 | − | 0.397381i | 0.597713 | − | 0.801710i | \(-0.296076\pi\) |
−0.914613 | + | 0.404329i | \(0.867505\pi\) | |||||||
\(234\) | −6.79590 | − | 29.7748i | −0.444262 | − | 1.94644i | ||||
\(235\) | −0.445042 | + | 1.94986i | −0.0290313 | + | 0.127195i | ||||
\(236\) | 10.4955 | + | 13.1609i | 0.683196 | + | 0.856700i | ||||
\(237\) | −8.87531 | − | 11.1293i | −0.576514 | − | 0.722925i | ||||
\(238\) | −0.342895 | + | 1.50232i | −0.0222266 | + | 0.0973811i | ||||
\(239\) | −3.48254 | − | 15.2580i | −0.225267 | − | 0.986959i | −0.953444 | − | 0.301570i | \(-0.902489\pi\) |
0.728177 | − | 0.685389i | \(-0.240368\pi\) | |||||||
\(240\) | 2.24698 | + | 2.81762i | 0.145042 | + | 0.181877i | ||||
\(241\) | 8.63975 | − | 4.16069i | 0.556535 | − | 0.268013i | −0.134403 | − | 0.990927i | \(-0.542912\pi\) |
0.690939 | + | 0.722913i | \(0.257197\pi\) | |||||||
\(242\) | 7.86658 | − | 3.78835i | 0.505683 | − | 0.243524i | ||||
\(243\) | 8.40850 | + | 36.8401i | 0.539406 | + | 2.36329i | ||||
\(244\) | −3.91789 | + | 4.91288i | −0.250818 | + | 0.314515i | ||||
\(245\) | −10.0271 | − | 4.82882i | −0.640611 | − | 0.308502i | ||||
\(246\) | −9.39977 | + | 11.7869i | −0.599308 | + | 0.751508i | ||||
\(247\) | −1.06853 | + | 4.68154i | −0.0679890 | + | 0.297879i | ||||
\(248\) | −11.0184 | + | 5.30619i | −0.699670 | + | 0.336943i | ||||
\(249\) | −4.39708 | + | 19.2649i | −0.278654 | + | 1.22086i | ||||
\(250\) | −8.67025 | − | 4.17537i | −0.548355 | − | 0.264074i | ||||
\(251\) | −13.1317 | −0.828865 | −0.414432 | − | 0.910080i | \(-0.636020\pi\) | ||||
−0.414432 | + | 0.910080i | \(0.636020\pi\) | |||||||
\(252\) | 12.2620 | 0.772436 | ||||||||
\(253\) | 1.07338 | + | 0.516911i | 0.0674826 | + | 0.0324979i | ||||
\(254\) | −0.834166 | − | 3.65472i | −0.0523402 | − | 0.229318i | ||||
\(255\) | −6.49396 | − | 8.14317i | −0.406668 | − | 0.509945i | ||||
\(256\) | −8.84481 | + | 11.0910i | −0.552801 | + | 0.693190i | ||||
\(257\) | −17.8213 | −1.11166 | −0.555832 | − | 0.831295i | \(-0.687600\pi\) | ||||
−0.555832 | + | 0.831295i | \(0.687600\pi\) | |||||||
\(258\) | 6.70387 | + | 15.7037i | 0.417364 | + | 0.977668i | ||||
\(259\) | −5.41657 | −0.336569 | ||||||||
\(260\) | 8.54288 | − | 10.7124i | 0.529807 | − | 0.664357i | ||||
\(261\) | 22.8131 | + | 28.6067i | 1.41210 | + | 1.77071i | ||||
\(262\) | 0.784479 | + | 3.43703i | 0.0484653 | + | 0.212340i | ||||
\(263\) | 28.7848 | + | 13.8620i | 1.77495 | + | 0.854769i | 0.962291 | + | 0.272023i | \(0.0876926\pi\) |
0.812654 | + | 0.582746i | \(0.198022\pi\) | |||||||
\(264\) | −2.92931 | −0.180287 | ||||||||
\(265\) | −5.32975 | −0.327404 | ||||||||
\(266\) | 0.823281 | + | 0.396471i | 0.0504786 | + | 0.0243092i | ||||
\(267\) | −10.1027 | + | 44.2627i | −0.618274 | + | 2.70884i | ||||
\(268\) | −8.13318 | + | 3.91673i | −0.496813 | + | 0.239253i | ||||
\(269\) | 0.189866 | − | 0.831855i | 0.0115763 | − | 0.0507191i | −0.968810 | − | 0.247805i | \(-0.920291\pi\) |
0.980386 | + | 0.197086i | \(0.0631478\pi\) | |||||||
\(270\) | 14.7506 | − | 18.4967i | 0.897695 | − | 1.12567i | ||||
\(271\) | −2.05280 | − | 0.988577i | −0.124699 | − | 0.0600518i | 0.370494 | − | 0.928835i | \(-0.379188\pi\) |
−0.495193 | + | 0.868783i | \(0.664903\pi\) | |||||||
\(272\) | −0.554958 | + | 0.695895i | −0.0336493 | + | 0.0421949i | ||||
\(273\) | −4.37047 | − | 19.1483i | −0.264513 | − | 1.15891i | ||||
\(274\) | −4.06465 | + | 1.95743i | −0.245554 | + | 0.118253i | ||||
\(275\) | −0.301938 | + | 0.145406i | −0.0182075 | + | 0.00876828i | ||||
\(276\) | 9.76540 | + | 12.2454i | 0.587808 | + | 0.737088i | ||||
\(277\) | −0.773831 | − | 3.39038i | −0.0464950 | − | 0.203708i | 0.946345 | − | 0.323157i | \(-0.104744\pi\) |
−0.992840 | + | 0.119449i | \(0.961887\pi\) | |||||||
\(278\) | −2.95204 | + | 12.9337i | −0.177052 | + | 0.775714i | ||||
\(279\) | −21.3647 | − | 26.7905i | −1.27907 | − | 1.60391i | ||||
\(280\) | −4.02177 | − | 5.04314i | −0.240347 | − | 0.301385i | ||||
\(281\) | 4.02811 | − | 17.6483i | 0.240297 | − | 1.05281i | −0.700451 | − | 0.713701i | \(-0.747018\pi\) |
0.940747 | − | 0.339108i | \(-0.110125\pi\) | |||||||
\(282\) | −0.579417 | − | 2.53859i | −0.0345038 | − | 0.151171i | ||||
\(283\) | −14.8802 | − | 18.6591i | −0.884534 | − | 1.10917i | −0.993353 | − | 0.115108i | \(-0.963278\pi\) |
0.108819 | − | 0.994062i | \(-0.465293\pi\) | |||||||
\(284\) | −0.819396 | + | 0.394600i | −0.0486222 | + | 0.0234152i | ||||
\(285\) | −5.56465 | + | 2.67979i | −0.329621 | + | 0.158737i | ||||
\(286\) | 0.301938 | + | 1.32288i | 0.0178540 | + | 0.0782233i | ||||
\(287\) | −4.32490 | + | 5.42326i | −0.255291 | + | 0.320125i | ||||
\(288\) | −39.6139 | − | 19.0770i | −2.33427 | − | 1.12412i | ||||
\(289\) | −8.99545 | + | 11.2799i | −0.529144 | + | 0.663526i | ||||
\(290\) | 1.73125 | − | 7.58510i | 0.101663 | − | 0.445413i | ||||
\(291\) | 44.4608 | − | 21.4112i | 2.60634 | − | 1.25515i | ||||
\(292\) | −1.68382 | + | 7.37732i | −0.0985384 | + | 0.431725i | ||||
\(293\) | −24.7787 | − | 11.9328i | −1.44759 | − | 0.697122i | −0.465414 | − | 0.885093i | \(-0.654095\pi\) |
−0.982175 | + | 0.187971i | \(0.939809\pi\) | |||||||
\(294\) | 14.4896 | 0.845053 | ||||||||
\(295\) | 24.8116 | 1.44459 | ||||||||
\(296\) | 10.9656 | + | 5.28076i | 0.637363 | + | 0.306938i | ||||
\(297\) | −1.09999 | − | 4.81937i | −0.0638279 | − | 0.279648i | ||||
\(298\) | 4.50484 | + | 5.64890i | 0.260959 | + | 0.327232i | ||||
\(299\) | 11.1908 | − | 14.0329i | 0.647182 | − | 0.811541i | ||||
\(300\) | −4.40581 | −0.254370 | ||||||||
\(301\) | 3.08450 | + | 7.22538i | 0.177788 | + | 0.416464i | ||||
\(302\) | −2.31767 | −0.133367 | ||||||||
\(303\) | 32.3669 | − | 40.5868i | 1.85943 | − | 2.33165i | ||||
\(304\) | 0.329085 | + | 0.412659i | 0.0188743 | + | 0.0236676i | ||||
\(305\) | 2.06100 | + | 9.02983i | 0.118012 | + | 0.517046i | ||||
\(306\) | 8.74094 | + | 4.20941i | 0.499686 | + | 0.240636i | ||||
\(307\) | −20.2838 | −1.15766 | −0.578829 | − | 0.815449i | \(-0.696490\pi\) | ||||
−0.578829 | + | 0.815449i | \(0.696490\pi\) | |||||||
\(308\) | −0.544796 | −0.0310426 | ||||||||
\(309\) | 44.1323 | + | 21.2530i | 2.51060 | + | 1.20904i | ||||
\(310\) | −1.62133 | + | 7.10353i | −0.0920856 | + | 0.403453i | ||||
\(311\) | 5.15010 | − | 2.48016i | 0.292036 | − | 0.140637i | −0.282130 | − | 0.959376i | \(-0.591041\pi\) |
0.574165 | + | 0.818739i | \(0.305327\pi\) | |||||||
\(312\) | −9.82036 | + | 43.0258i | −0.555968 | + | 2.43586i | ||||
\(313\) | −15.1746 | + | 19.0283i | −0.857717 | + | 1.07554i | 0.138647 | + | 0.990342i | \(0.455725\pi\) |
−0.996364 | + | 0.0852012i | \(0.972847\pi\) | |||||||
\(314\) | −16.6996 | − | 8.04208i | −0.942410 | − | 0.453841i | ||||
\(315\) | 11.2687 | − | 14.1306i | 0.634922 | − | 0.796167i | ||||
\(316\) | 1.32371 | + | 5.79954i | 0.0744644 | + | 0.326250i | ||||
\(317\) | −13.6555 | + | 6.57613i | −0.766968 | + | 0.369352i | −0.776103 | − | 0.630606i | \(-0.782806\pi\) |
0.00913503 | + | 0.999958i | \(0.497092\pi\) | |||||||
\(318\) | 6.25182 | − | 3.01072i | 0.350585 | − | 0.168833i | ||||
\(319\) | −1.01357 | − | 1.27098i | −0.0567492 | − | 0.0711613i | ||||
\(320\) | 1.58642 | + | 6.95055i | 0.0886834 | + | 0.388547i | ||||
\(321\) | 2.65495 | − | 11.6321i | 0.148185 | − | 0.649240i | ||||
\(322\) | −2.12953 | − | 2.67035i | −0.118674 | − | 0.148813i | ||||
\(323\) | −0.951083 | − | 1.19262i | −0.0529197 | − | 0.0663591i | ||||
\(324\) | 7.62887 | − | 33.4242i | 0.423826 | − | 1.85690i | ||||
\(325\) | 1.12349 | + | 4.92233i | 0.0623200 | + | 0.273042i | ||||
\(326\) | −6.28017 | − | 7.87508i | −0.347826 | − | 0.436160i | ||||
\(327\) | −16.4574 | + | 7.92548i | −0.910097 | + | 0.438280i | ||||
\(328\) | 14.0429 | − | 6.76269i | 0.775388 | − | 0.373407i | ||||
\(329\) | −0.266594 | − | 1.16802i | −0.0146978 | − | 0.0643953i | ||||
\(330\) | −1.08815 | + | 1.36449i | −0.0599005 | + | 0.0751128i | ||||
\(331\) | −20.8898 | − | 10.0600i | −1.14821 | − | 0.552949i | −0.239714 | − | 0.970843i | \(-0.577054\pi\) |
−0.908495 | + | 0.417895i | \(0.862768\pi\) | |||||||
\(332\) | 5.14861 | − | 6.45616i | 0.282567 | − | 0.354328i | ||||
\(333\) | −7.58844 | + | 33.2471i | −0.415844 | + | 1.82193i | ||||
\(334\) | 16.0879 | − | 7.74753i | 0.880291 | − | 0.423926i | ||||
\(335\) | −2.96077 | + | 12.9720i | −0.161764 | + | 0.708735i | ||||
\(336\) | −1.94504 | − | 0.936683i | −0.106111 | − | 0.0511002i | ||||
\(337\) | 21.4644 | 1.16924 | 0.584621 | − | 0.811307i | \(-0.301243\pi\) | ||||
0.584621 | + | 0.811307i | \(0.301243\pi\) | |||||||
\(338\) | 10.0175 | 0.544878 | ||||||||
\(339\) | −7.35958 | − | 3.54419i | −0.399718 | − | 0.192494i | ||||
\(340\) | 0.968541 | + | 4.24346i | 0.0525265 | + | 0.230134i | ||||
\(341\) | 0.949222 | + | 1.19029i | 0.0514033 | + | 0.0644577i | ||||
\(342\) | 3.58695 | − | 4.49789i | 0.193960 | − | 0.243218i | ||||
\(343\) | 15.0532 | 0.812798 | ||||||||
\(344\) | 0.799782 | − | 17.6346i | 0.0431213 | − | 0.950796i | ||||
\(345\) | 23.0858 | 1.24290 | ||||||||
\(346\) | 1.09299 | − | 1.37057i | 0.0587595 | − | 0.0736821i | ||||
\(347\) | −15.9717 | − | 20.0278i | −0.857403 | − | 1.07515i | −0.996393 | − | 0.0848561i | \(-0.972957\pi\) |
0.138990 | − | 0.990294i | \(-0.455614\pi\) | |||||||
\(348\) | −4.75571 | − | 20.8361i | −0.254933 | − | 1.11693i | ||||
\(349\) | 8.72132 | + | 4.19997i | 0.466842 | + | 0.224819i | 0.652490 | − | 0.757797i | \(-0.273724\pi\) |
−0.185649 | + | 0.982616i | \(0.559439\pi\) | |||||||
\(350\) | 0.960771 | 0.0513554 | ||||||||
\(351\) | −74.4747 | −3.97517 | ||||||||
\(352\) | 1.76002 | + | 0.847581i | 0.0938094 | + | 0.0451762i | ||||
\(353\) | 0.0924579 | − | 0.405084i | 0.00492104 | − | 0.0215605i | −0.972408 | − | 0.233288i | \(-0.925052\pi\) |
0.977329 | + | 0.211727i | \(0.0679088\pi\) | |||||||
\(354\) | −29.1042 | + | 14.0158i | −1.54687 | + | 0.744933i | ||||
\(355\) | −0.298290 | + | 1.30689i | −0.0158316 | + | 0.0693627i | ||||
\(356\) | 11.8294 | − | 14.8336i | 0.626956 | − | 0.786178i | ||||
\(357\) | 5.62133 | + | 2.70709i | 0.297513 | + | 0.143274i | ||||
\(358\) | 5.10872 | − | 6.40613i | 0.270004 | − | 0.338575i | ||||
\(359\) | 1.58964 | + | 6.96466i | 0.0838979 | + | 0.367581i | 0.999396 | − | 0.0347408i | \(-0.0110606\pi\) |
−0.915498 | + | 0.402321i | \(0.868203\pi\) | |||||||
\(360\) | −36.5894 | + | 17.6205i | −1.92843 | + | 0.928683i | ||||
\(361\) | 16.3034 | − | 7.85132i | 0.858075 | − | 0.413227i | ||||
\(362\) | −6.63922 | − | 8.32532i | −0.348950 | − | 0.437569i | ||||
\(363\) | −7.86658 | − | 34.4658i | −0.412889 | − | 1.80898i | ||||
\(364\) | −1.82640 | + | 8.00197i | −0.0957292 | + | 0.419417i | ||||
\(365\) | 6.95407 | + | 8.72012i | 0.363992 | + | 0.456432i | ||||
\(366\) | −7.51842 | − | 9.42780i | −0.392994 | − | 0.492799i | ||||
\(367\) | −1.78113 | + | 7.80363i | −0.0929741 | + | 0.407346i | −0.999903 | − | 0.0139379i | \(-0.995563\pi\) |
0.906929 | + | 0.421284i | \(0.138420\pi\) | |||||||
\(368\) | −0.439001 | − | 1.92339i | −0.0228845 | − | 0.100264i | ||||
\(369\) | 27.2292 | + | 34.1443i | 1.41749 | + | 1.77748i | ||||
\(370\) | 6.53319 | − | 3.14622i | 0.339644 | − | 0.163564i | ||||
\(371\) | 2.87651 | − | 1.38525i | 0.149341 | − | 0.0719188i | ||||
\(372\) | 4.45377 | + | 19.5132i | 0.230917 | + | 1.01171i | ||||
\(373\) | 12.2823 | − | 15.4015i | 0.635955 | − | 0.797462i | −0.354536 | − | 0.935042i | \(-0.615361\pi\) |
0.990491 | + | 0.137581i | \(0.0439326\pi\) | |||||||
\(374\) | −0.388355 | − | 0.187022i | −0.0200813 | − | 0.00967067i | ||||
\(375\) | −24.2935 | + | 30.4631i | −1.25451 | + | 1.57311i | ||||
\(376\) | −0.599031 | + | 2.62453i | −0.0308927 | + | 0.135350i | ||||
\(377\) | −22.0661 | + | 10.6265i | −1.13646 | + | 0.547292i | ||||
\(378\) | −3.15356 | + | 13.8167i | −0.162202 | + | 0.710652i | ||||
\(379\) | 11.8204 | + | 5.69238i | 0.607171 | + | 0.292398i | 0.712096 | − | 0.702082i | \(-0.247746\pi\) |
−0.104925 | + | 0.994480i | \(0.533460\pi\) | |||||||
\(380\) | 2.58104 | 0.132405 | ||||||||
\(381\) | −15.1782 | −0.777603 | ||||||||
\(382\) | 15.4858 | + | 7.45755i | 0.792321 | + | 0.381561i | ||||
\(383\) | 1.34266 | + | 5.88257i | 0.0686066 | + | 0.300585i | 0.997577 | − | 0.0695683i | \(-0.0221622\pi\) |
−0.928971 | + | 0.370154i | \(0.879305\pi\) | |||||||
\(384\) | 17.8143 | + | 22.3384i | 0.909083 | + | 1.13995i | ||||
\(385\) | −0.500664 | + | 0.627813i | −0.0255162 | + | 0.0319963i | ||||
\(386\) | −7.01315 | −0.356960 | ||||||||
\(387\) | 48.6710 | − | 8.81026i | 2.47408 | − | 0.447851i | ||||
\(388\) | −20.6222 | −1.04693 | ||||||||
\(389\) | −0.502688 | + | 0.630351i | −0.0254873 | + | 0.0319601i | −0.794412 | − | 0.607380i | \(-0.792221\pi\) |
0.768924 | + | 0.639340i | \(0.220792\pi\) | |||||||
\(390\) | 16.3937 | + | 20.5571i | 0.830129 | + | 1.04095i | ||||
\(391\) | 1.26875 | + | 5.55876i | 0.0641634 | + | 0.281118i | ||||
\(392\) | −13.4966 | − | 6.49964i | −0.681684 | − | 0.328282i | ||||
\(393\) | 14.2741 | 0.720034 | ||||||||
\(394\) | 14.8649 | 0.748881 | ||||||||
\(395\) | 7.89977 | + | 3.80433i | 0.397481 | + | 0.191417i | ||||
\(396\) | −0.763242 | + | 3.34398i | −0.0383543 | + | 0.168041i | ||||
\(397\) | −8.36927 | + | 4.03043i | −0.420042 | + | 0.202281i | −0.631952 | − | 0.775008i | \(-0.717746\pi\) |
0.211910 | + | 0.977289i | \(0.432032\pi\) | |||||||
\(398\) | 0.610449 | − | 2.67455i | 0.0305990 | − | 0.134063i | ||||
\(399\) | 2.30678 | − | 2.89261i | 0.115484 | − | 0.144812i | ||||
\(400\) | 0.500000 | + | 0.240787i | 0.0250000 | + | 0.0120394i | ||||
\(401\) | −17.0553 | + | 21.3866i | −0.851699 | + | 1.06800i | 0.145208 | + | 0.989401i | \(0.453615\pi\) |
−0.996907 | + | 0.0785953i | \(0.974957\pi\) | |||||||
\(402\) | −3.85474 | − | 16.8887i | −0.192257 | − | 0.842333i | ||||
\(403\) | 20.6652 | − | 9.95182i | 1.02941 | − | 0.495736i | ||||
\(404\) | −19.5456 | + | 9.41265i | −0.972428 | + | 0.468297i | ||||
\(405\) | −31.5066 | − | 39.5081i | −1.56558 | − | 1.96317i | ||||
\(406\) | 1.03707 | + | 4.54371i | 0.0514691 | + | 0.225501i | ||||
\(407\) | 0.337150 | − | 1.47715i | 0.0167119 | − | 0.0732196i | ||||
\(408\) | −8.74094 | − | 10.9608i | −0.432741 | − | 0.542640i | ||||
\(409\) | −2.29440 | − | 2.87709i | −0.113451 | − | 0.142263i | 0.721863 | − | 0.692036i | \(-0.243286\pi\) |
−0.835314 | + | 0.549772i | \(0.814714\pi\) | |||||||
\(410\) | 2.06638 | − | 9.05338i | 0.102051 | − | 0.447115i | ||||
\(411\) | 4.06465 | + | 17.8084i | 0.200494 | + | 0.878423i | ||||
\(412\) | −12.7627 | − | 16.0039i | −0.628774 | − | 0.788457i | ||||
\(413\) | −13.3910 | + | 6.44879i | −0.658930 | + | 0.317324i | ||||
\(414\) | −19.3741 | + | 9.33008i | −0.952186 | + | 0.458549i | ||||
\(415\) | −2.70841 | − | 11.8663i | −0.132951 | − | 0.582496i | ||||
\(416\) | 18.3497 | − | 23.0097i | 0.899666 | − | 1.12815i | ||||
\(417\) | 48.3950 | + | 23.3058i | 2.36991 | + | 1.14129i | ||||
\(418\) | −0.159366 | + | 0.199839i | −0.00779485 | + | 0.00977443i | ||||
\(419\) | 5.62833 | − | 24.6593i | 0.274962 | − | 1.20469i | −0.629113 | − | 0.777314i | \(-0.716582\pi\) |
0.904075 | − | 0.427374i | \(-0.140561\pi\) | |||||||
\(420\) | −9.51142 | + | 4.58046i | −0.464110 | + | 0.223503i | ||||
\(421\) | −3.82813 | + | 16.7721i | −0.186571 | + | 0.817423i | 0.791835 | + | 0.610735i | \(0.209126\pi\) |
−0.978407 | + | 0.206688i | \(0.933731\pi\) | |||||||
\(422\) | −6.43416 | − | 3.09853i | −0.313210 | − | 0.150834i | ||||
\(423\) | −7.54288 | −0.366747 | ||||||||
\(424\) | −7.17390 | −0.348395 | ||||||||
\(425\) | −1.44504 | − | 0.695895i | −0.0700948 | − | 0.0337559i | ||||
\(426\) | −0.388355 | − | 1.70149i | −0.0188159 | − | 0.0824376i | ||||
\(427\) | −3.45928 | − | 4.33780i | −0.167406 | − | 0.209921i | ||||
\(428\) | −3.10872 | + | 3.89821i | −0.150266 | + | 0.188427i | ||||
\(429\) | 5.49396 | 0.265251 | ||||||||
\(430\) | −7.91723 | − | 6.92325i | −0.381803 | − | 0.333869i | ||||
\(431\) | 3.73364 | 0.179843 | 0.0899216 | − | 0.995949i | \(-0.471338\pi\) | ||||
0.0899216 | + | 0.995949i | \(0.471338\pi\) | |||||||
\(432\) | −5.10388 | + | 6.40006i | −0.245560 | + | 0.307923i | ||||
\(433\) | 13.3877 | + | 16.7876i | 0.643371 | + | 0.806762i | 0.991420 | − | 0.130714i | \(-0.0417271\pi\) |
−0.348049 | + | 0.937476i | \(0.613156\pi\) | |||||||
\(434\) | −0.971229 | − | 4.25523i | −0.0466205 | − | 0.204258i | ||||
\(435\) | −28.3817 | − | 13.6679i | −1.36080 | − | 0.655325i | ||||
\(436\) | 7.63342 | 0.365574 | ||||||||
\(437\) | 3.38106 | 0.161738 | ||||||||
\(438\) | −13.0831 | − | 6.30047i | −0.625133 | − | 0.301048i | ||||
\(439\) | 2.93458 | − | 12.8573i | 0.140060 | − | 0.613643i | −0.855359 | − | 0.518036i | \(-0.826663\pi\) |
0.995419 | − | 0.0956075i | \(-0.0304794\pi\) | |||||||
\(440\) | 1.62565 | − | 0.782870i | 0.0774996 | − | 0.0373218i | ||||
\(441\) | 9.33997 | − | 40.9211i | 0.444760 | − | 1.94862i | ||||
\(442\) | −4.04892 | + | 5.07718i | −0.192587 | + | 0.241497i | ||||
\(443\) | 25.4148 | + | 12.2391i | 1.20750 | + | 0.581499i | 0.925803 | − | 0.378006i | \(-0.123390\pi\) |
0.281692 | + | 0.959505i | \(0.409104\pi\) | |||||||
\(444\) | 12.4194 | − | 15.5734i | 0.589398 | − | 0.739082i | ||||
\(445\) | −6.22282 | − | 27.2639i | −0.294990 | − | 1.29243i | ||||
\(446\) | 3.53319 | − | 1.70149i | 0.167301 | − | 0.0805681i | ||||
\(447\) | 26.3572 | − | 12.6930i | 1.24665 | − | 0.600356i | ||||
\(448\) | −2.66272 | − | 3.33894i | −0.125802 | − | 0.157750i | ||||
\(449\) | −5.38955 | − | 23.6132i | −0.254349 | − | 1.11437i | −0.927191 | − | 0.374589i | \(-0.877784\pi\) |
0.672843 | − | 0.739786i | \(-0.265073\pi\) | |||||||
\(450\) | 1.34601 | − | 5.89726i | 0.0634516 | − | 0.277999i | ||||
\(451\) | −1.20978 | − | 1.51701i | −0.0569661 | − | 0.0714332i | ||||
\(452\) | 2.12833 | + | 2.66885i | 0.100108 | + | 0.125532i | ||||
\(453\) | −2.08815 | + | 9.14877i | −0.0981097 | + | 0.429846i | ||||
\(454\) | 0.741176 | + | 3.24730i | 0.0347851 | + | 0.152403i | ||||
\(455\) | 7.54288 | + | 9.45847i | 0.353616 | + | 0.443420i | ||||
\(456\) | −7.49007 | + | 3.60703i | −0.350755 | + | 0.168915i | ||||
\(457\) | −21.1250 | + | 10.1733i | −0.988185 | + | 0.475885i | −0.856913 | − | 0.515462i | \(-0.827620\pi\) |
−0.131272 | + | 0.991346i | \(0.541906\pi\) | |||||||
\(458\) | 3.48835 | + | 15.2834i | 0.163000 | + | 0.714148i | ||||
\(459\) | 14.7506 | − | 18.4967i | 0.688500 | − | 0.863352i | ||||
\(460\) | −8.69202 | − | 4.18586i | −0.405268 | − | 0.195167i | ||||
\(461\) | −10.3626 | + | 12.9942i | −0.482633 | + | 0.605203i | −0.962214 | − | 0.272295i | \(-0.912217\pi\) |
0.479581 | + | 0.877498i | \(0.340789\pi\) | |||||||
\(462\) | 0.232637 | − | 1.01925i | 0.0108232 | − | 0.0474197i | ||||
\(463\) | 5.18114 | − | 2.49510i | 0.240788 | − | 0.115957i | −0.309599 | − | 0.950867i | \(-0.600195\pi\) |
0.550386 | + | 0.834910i | \(0.314480\pi\) | |||||||
\(464\) | −0.599031 | + | 2.62453i | −0.0278093 | + | 0.121841i | ||||
\(465\) | 26.5797 | + | 12.8001i | 1.23260 | + | 0.593591i | ||||
\(466\) | −6.22175 | −0.288217 | ||||||||
\(467\) | 23.4547 | 1.08536 | 0.542678 | − | 0.839941i | \(-0.317410\pi\) | ||||
0.542678 | + | 0.839941i | \(0.317410\pi\) | |||||||
\(468\) | 46.5577 | + | 22.4210i | 2.15213 | + | 1.03641i | ||||
\(469\) | −1.77359 | − | 7.77062i | −0.0818970 | − | 0.358814i | ||||
\(470\) | 1.00000 | + | 1.25396i | 0.0461266 | + | 0.0578409i | ||||
\(471\) | −46.7911 | + | 58.6742i | −2.15602 | + | 2.70356i | ||||
\(472\) | 33.3967 | 1.53721 | ||||||||
\(473\) | −2.16242 | + | 0.391435i | −0.0994283 | + | 0.0179982i | ||||
\(474\) | −11.4155 | −0.524331 | ||||||||
\(475\) | −0.592990 | + | 0.743586i | −0.0272083 | + | 0.0341181i | ||||
\(476\) | −1.62565 | − | 2.03850i | −0.0745114 | − | 0.0934343i | ||||
\(477\) | −4.47285 | − | 19.5968i | −0.204798 | − | 0.897278i | ||||
\(478\) | −11.3077 | − | 5.44552i | −0.517204 | − | 0.249072i | ||||
\(479\) | 26.7278 | 1.22122 | 0.610612 | − | 0.791930i | \(-0.290924\pi\) | ||||
0.610612 | + | 0.791930i | \(0.290924\pi\) | |||||||
\(480\) | 37.8538 | 1.72778 | ||||||||
\(481\) | −20.5661 | − | 9.90413i | −0.937735 | − | 0.451589i | ||||
\(482\) | 1.71121 | − | 7.49730i | 0.0779434 | − | 0.341492i | ||||
\(483\) | −12.4596 | + | 6.00022i | −0.566930 | + | 0.273019i | ||||
\(484\) | −3.28740 | + | 14.4031i | −0.149427 | + | 0.654685i | ||||
\(485\) | −18.9517 | + | 23.7646i | −0.860551 | + | 1.07910i | ||||
\(486\) | 27.3022 | + | 13.1481i | 1.23845 | + | 0.596408i | ||||
\(487\) | −6.25116 | + | 7.83871i | −0.283267 | + | 0.355206i | −0.903025 | − | 0.429587i | \(-0.858659\pi\) |
0.619758 | + | 0.784793i | \(0.287231\pi\) | |||||||
\(488\) | 2.77413 | + | 12.1542i | 0.125579 | + | 0.550197i | ||||
\(489\) | −36.7443 | + | 17.6951i | −1.66164 | + | 0.800202i | ||||
\(490\) | −8.04115 | + | 3.87241i | −0.363262 | + | 0.174938i | ||||
\(491\) | −13.1114 | − | 16.4412i | −0.591710 | − | 0.741980i | 0.392351 | − | 0.919816i | \(-0.371662\pi\) |
−0.984060 | + | 0.177835i | \(0.943091\pi\) | |||||||
\(492\) | −5.67629 | − | 24.8695i | −0.255907 | − | 1.12120i | ||||
\(493\) | 1.73125 | − | 7.58510i | 0.0779716 | − | 0.341616i | ||||
\(494\) | 2.40097 | + | 3.01072i | 0.108025 | + | 0.135459i | ||||
\(495\) | 3.15213 | + | 3.95264i | 0.141678 | + | 0.177658i | ||||
\(496\) | 0.560999 | − | 2.45790i | 0.0251896 | − | 0.110363i | ||||
\(497\) | −0.178685 | − | 0.782870i | −0.00801511 | − | 0.0351165i | ||||
\(498\) | 9.88016 | + | 12.3893i | 0.442740 | + | 0.555179i | ||||
\(499\) | −27.8279 | + | 13.4012i | −1.24575 | + | 0.599920i | −0.936369 | − | 0.351019i | \(-0.885835\pi\) |
−0.309379 | + | 0.950939i | \(0.600121\pi\) | |||||||
\(500\) | 14.6703 | − | 7.06482i | 0.656074 | − | 0.315948i | ||||
\(501\) | −16.0879 | − | 70.4857i | −0.718755 | − | 3.14907i | ||||
\(502\) | −6.56584 | + | 8.23331i | −0.293048 | + | 0.367470i | ||||
\(503\) | 27.8751 | + | 13.4239i | 1.24289 | + | 0.598543i | 0.935596 | − | 0.353072i | \(-0.114863\pi\) |
0.307292 | + | 0.951615i | \(0.400577\pi\) | |||||||
\(504\) | 15.1679 | − | 19.0199i | 0.675630 | − | 0.847213i | ||||
\(505\) | −7.11529 | + | 31.1741i | −0.316626 | + | 1.38723i | ||||
\(506\) | 0.860781 | − | 0.414530i | 0.0382664 | − | 0.0184281i | ||||
\(507\) | 9.02542 | − | 39.5429i | 0.400833 | − | 1.75616i | ||||
\(508\) | 5.71475 | + | 2.75208i | 0.253551 | + | 0.122104i | ||||
\(509\) | −22.4494 | −0.995050 | −0.497525 | − | 0.867450i | \(-0.665758\pi\) | ||||
−0.497525 | + | 0.867450i | \(0.665758\pi\) | |||||||
\(510\) | −8.35258 | −0.369859 | ||||||||
\(511\) | −6.01961 | − | 2.89889i | −0.266292 | − | 0.128239i | ||||
\(512\) | −1.38471 | − | 6.06680i | −0.0611960 | − | 0.268117i | ||||
\(513\) | −8.74698 | − | 10.9684i | −0.386189 | − | 0.484265i | ||||
\(514\) | −8.91066 | + | 11.1736i | −0.393032 | + | 0.492847i | ||||
\(515\) | −30.1715 | −1.32952 | ||||||||
\(516\) | −27.8463 | − | 7.69834i | −1.22587 | − | 0.338900i | ||||
\(517\) | 0.335126 | 0.0147388 | ||||||||
\(518\) | −2.70828 | + | 3.39608i | −0.118995 | + | 0.149215i | ||||
\(519\) | −4.42543 | − | 5.54931i | −0.194255 | − | 0.243588i | ||||
\(520\) | −6.04892 | − | 26.5020i | −0.265263 | − | 1.16219i | ||||
\(521\) | 14.7066 | + | 7.08230i | 0.644306 | + | 0.310281i | 0.727352 | − | 0.686264i | \(-0.240751\pi\) |
−0.0830464 | + | 0.996546i | \(0.526465\pi\) | |||||||
\(522\) | 29.3424 | 1.28428 | ||||||||
\(523\) | 4.42626 | 0.193547 | 0.0967733 | − | 0.995306i | \(-0.469148\pi\) | ||||
0.0967733 | + | 0.995306i | \(0.469148\pi\) | |||||||
\(524\) | −5.37435 | − | 2.58815i | −0.234780 | − | 0.113064i | ||||
\(525\) | 0.865625 | − | 3.79255i | 0.0377790 | − | 0.165521i | ||||
\(526\) | 23.0836 | − | 11.1165i | 1.00649 | − | 0.484701i | ||||
\(527\) | −1.62133 | + | 7.10353i | −0.0706264 | + | 0.309435i | ||||
\(528\) | 0.376510 | − | 0.472129i | 0.0163855 | − | 0.0205468i | ||||
\(529\) | 9.33609 | + | 4.49602i | 0.405917 | + | 0.195479i | ||||
\(530\) | −2.66487 | + | 3.34165i | −0.115755 | + | 0.145152i | ||||
\(531\) | 20.8225 | + | 91.2294i | 0.903620 | + | 3.95902i | ||||
\(532\) | −1.39301 | + | 0.670838i | −0.0603946 | + | 0.0290845i | ||||
\(533\) | −26.3376 | + | 12.6835i | −1.14081 | + | 0.549384i | ||||
\(534\) | 22.7005 | + | 28.4655i | 0.982347 | + | 1.23182i | ||||
\(535\) | 1.63533 | + | 7.16487i | 0.0707017 | + | 0.309764i | ||||
\(536\) | −3.98523 | + | 17.4604i | −0.172136 | + | 0.754176i | ||||
\(537\) | −20.6848 | − | 25.9379i | −0.892614 | − | 1.11930i | ||||
\(538\) | −0.426624 | − | 0.534970i | −0.0183931 | − | 0.0230642i | ||||
\(539\) | −0.414969 | + | 1.81810i | −0.0178740 | + | 0.0783111i | ||||
\(540\) | 8.90754 | + | 39.0265i | 0.383320 | + | 1.67943i | ||||
\(541\) | −3.52595 | − | 4.42140i | −0.151592 | − | 0.190091i | 0.700237 | − | 0.713911i | \(-0.253078\pi\) |
−0.851829 | + | 0.523820i | \(0.824506\pi\) | |||||||
\(542\) | −1.64622 | + | 0.792778i | −0.0707112 | + | 0.0340527i | ||||
\(543\) | −38.8451 | + | 18.7068i | −1.66700 | + | 0.802786i | ||||
\(544\) | 2.08038 | + | 9.11472i | 0.0891954 | + | 0.390791i | ||||
\(545\) | 7.01507 | − | 8.79661i | 0.300492 | − | 0.376806i | ||||
\(546\) | −14.1908 | − | 6.83394i | −0.607311 | − | 0.292466i | ||||
\(547\) | 11.7424 | − | 14.7245i | 0.502070 | − | 0.629576i | −0.464625 | − | 0.885508i | \(-0.653811\pi\) |
0.966695 | + | 0.255932i | \(0.0823822\pi\) | |||||||
\(548\) | 1.69859 | − | 7.44203i | 0.0725604 | − | 0.317908i | ||||
\(549\) | −31.4720 | + | 15.1561i | −1.34319 | + | 0.646846i | ||||
\(550\) | −0.0598025 | + | 0.262012i | −0.00254999 | + | 0.0111722i | ||||
\(551\) | −4.15668 | − | 2.00175i | −0.177080 | − | 0.0852774i | ||||
\(552\) | 31.0737 | 1.32258 | ||||||||
\(553\) | −5.25236 | −0.223353 | ||||||||
\(554\) | −2.51261 | − | 1.21001i | −0.106751 | − | 0.0514084i | ||||
\(555\) | −6.53319 | − | 28.6238i | −0.277318 | − | 1.21501i | ||||
\(556\) | −13.9955 | − | 17.5497i | −0.593539 | − | 0.744275i | ||||
\(557\) | 23.7032 | − | 29.7229i | 1.00434 | − | 1.25940i | 0.0387688 | − | 0.999248i | \(-0.487656\pi\) |
0.965568 | − | 0.260150i | \(-0.0837722\pi\) | |||||||
\(558\) | −27.4795 | −1.16330 | ||||||||
\(559\) | −1.50000 | + | 33.0740i | −0.0634432 | + | 1.39888i | ||||
\(560\) | 1.32975 | 0.0561921 | ||||||||
\(561\) | −1.08815 | + | 1.36449i | −0.0459416 | + | 0.0576089i | ||||
\(562\) | −9.05107 | − | 11.3497i | −0.381796 | − | 0.478758i | ||||
\(563\) | 9.62684 | + | 42.1780i | 0.405723 | + | 1.77759i | 0.603522 | + | 0.797346i | \(0.293763\pi\) |
−0.197799 | + | 0.980243i | \(0.563379\pi\) | |||||||
\(564\) | 3.96950 | + | 1.91161i | 0.167146 | + | 0.0804933i | ||||
\(565\) | 5.03146 | 0.211675 | ||||||||
\(566\) | −19.1390 | −0.804471 | ||||||||
\(567\) | 27.2729 | + | 13.1340i | 1.14536 | + | 0.551574i | ||||
\(568\) | −0.401501 | + | 1.75909i | −0.0168466 | + | 0.0738099i | ||||
\(569\) | 31.9288 | − | 15.3761i | 1.33853 | − | 0.644600i | 0.378785 | − | 0.925485i | \(-0.376342\pi\) |
0.959742 | + | 0.280884i | \(0.0906277\pi\) | |||||||
\(570\) | −1.10215 | + | 4.82882i | −0.0461638 | + | 0.202257i | ||||
\(571\) | 26.8391 | − | 33.6551i | 1.12318 | − | 1.40842i | 0.221963 | − | 0.975055i | \(-0.428754\pi\) |
0.901217 | − | 0.433368i | \(-0.142675\pi\) | |||||||
\(572\) | −2.06853 | − | 0.996152i | −0.0864897 | − | 0.0416512i | ||||
\(573\) | 43.3901 | − | 54.4095i | 1.81265 | − | 2.27299i | ||||
\(574\) | 1.23782 | + | 5.42326i | 0.0516658 | + | 0.226362i | ||||
\(575\) | 3.20291 | − | 1.54244i | 0.133570 | − | 0.0643241i | ||||
\(576\) | −24.2250 | + | 11.6661i | −1.00937 | + | 0.486089i | ||||
\(577\) | −9.76002 | − | 12.2387i | −0.406315 | − | 0.509503i | 0.536006 | − | 0.844214i | \(-0.319933\pi\) |
−0.942321 | + | 0.334712i | \(0.891361\pi\) | |||||||
\(578\) | 2.57457 | + | 11.2799i | 0.107088 | + | 0.469184i | ||||
\(579\) | −6.31863 | + | 27.6837i | −0.262593 | + | 1.15050i | ||||
\(580\) | 8.20775 | + | 10.2922i | 0.340808 | + | 0.427360i | ||||
\(581\) | 4.54593 | + | 5.70042i | 0.188597 | + | 0.236493i | ||||
\(582\) | 8.80601 | − | 38.5817i | 0.365021 | − | 1.59926i | ||||
\(583\) | 0.198726 | + | 0.870677i | 0.00823040 | + | 0.0360597i | ||||
\(584\) | 9.36025 | + | 11.7374i | 0.387330 | + | 0.485696i | ||||
\(585\) | 68.6238 | − | 33.0475i | 2.83725 | − | 1.36635i | ||||
\(586\) | −19.8710 | + | 9.56937i | −0.820864 | + | 0.395307i | ||||
\(587\) | 4.35258 | + | 19.0699i | 0.179650 | + | 0.787100i | 0.981791 | + | 0.189964i | \(0.0608373\pi\) |
−0.802141 | + | 0.597135i | \(0.796306\pi\) | |||||||
\(588\) | −15.2860 | + | 19.1680i | −0.630383 | + | 0.790475i | ||||
\(589\) | 3.89277 | + | 1.87466i | 0.160399 | + | 0.0772440i | ||||
\(590\) | 12.4058 | − | 15.5564i | 0.510739 | − | 0.640447i | ||||
\(591\) | 13.3928 | − | 58.6776i | 0.550905 | − | 2.41367i | ||||
\(592\) | −2.26055 | + | 1.08863i | −0.0929082 | + | 0.0447422i | ||||
\(593\) | 9.01424 | − | 39.4940i | 0.370170 | − | 1.62182i | −0.356124 | − | 0.934439i | \(-0.615902\pi\) |
0.726294 | − | 0.687384i | \(-0.241241\pi\) | |||||||
\(594\) | −3.57165 | − | 1.72001i | −0.146546 | − | 0.0705731i | ||||
\(595\) | −3.84309 | −0.157551 | ||||||||
\(596\) | −12.2252 | −0.500764 | ||||||||
\(597\) | −10.0075 | − | 4.81937i | −0.409581 | − | 0.197244i | ||||
\(598\) | −3.20291 | − | 14.0329i | −0.130977 | − | 0.573846i | ||||
\(599\) | −22.5371 | − | 28.2607i | −0.920842 | − | 1.15470i | −0.987610 | − | 0.156931i | \(-0.949840\pi\) |
0.0667673 | − | 0.997769i | \(-0.478731\pi\) | |||||||
\(600\) | −5.44989 | + | 6.83394i | −0.222491 | + | 0.278994i | ||||
\(601\) | −23.5743 | −0.961617 | −0.480809 | − | 0.876826i | \(-0.659657\pi\) | ||||
−0.480809 | + | 0.876826i | \(0.659657\pi\) | |||||||
\(602\) | 6.07242 | + | 1.67877i | 0.247493 | + | 0.0684215i | ||||
\(603\) | −50.1812 | −2.04354 | ||||||||
\(604\) | 2.44504 | − | 3.06599i | 0.0994873 | − | 0.124753i | ||||
\(605\) | 13.5767 | + | 17.0247i | 0.551973 | + | 0.692152i | ||||
\(606\) | −9.26367 | − | 40.5868i | −0.376311 | − | 1.64873i | ||||
\(607\) | 4.54407 | + | 2.18831i | 0.184438 | + | 0.0888208i | 0.523824 | − | 0.851826i | \(-0.324505\pi\) |
−0.339386 | + | 0.940647i | \(0.610219\pi\) | |||||||
\(608\) | 5.54394 | 0.224837 | ||||||||
\(609\) | 18.8702 | 0.764660 | ||||||||
\(610\) | 6.69202 | + | 3.22271i | 0.270952 | + | 0.130484i | ||||
\(611\) | 1.12349 | − | 4.92233i | 0.0454515 | − | 0.199136i | ||||
\(612\) | −14.7899 | + | 7.12242i | −0.597845 | + | 0.287907i | ||||
\(613\) | −6.06398 | + | 26.5680i | −0.244922 | + | 1.07307i | 0.691549 | + | 0.722329i | \(0.256928\pi\) |
−0.936471 | + | 0.350744i | \(0.885929\pi\) | |||||||
\(614\) | −10.1419 | + | 12.7175i | −0.409294 | + | 0.513239i | ||||
\(615\) | −33.8756 | − | 16.3136i | −1.36600 | − | 0.657829i | ||||
\(616\) | −0.673899 | + | 0.845043i | −0.0271522 | + | 0.0340477i | ||||
\(617\) | 5.25076 | + | 23.0051i | 0.211388 | + | 0.926150i | 0.963625 | + | 0.267258i | \(0.0861174\pi\) |
−0.752238 | + | 0.658892i | \(0.771025\pi\) | |||||||
\(618\) | 35.3913 | − | 17.0436i | 1.42365 | − | 0.685593i | ||||
\(619\) | 37.9686 | − | 18.2847i | 1.52609 | − | 0.734925i | 0.532335 | − | 0.846534i | \(-0.321315\pi\) |
0.993752 | + | 0.111609i | \(0.0356005\pi\) | |||||||
\(620\) | −7.68664 | − | 9.63875i | −0.308703 | − | 0.387101i | ||||
\(621\) | 11.6685 | + | 51.1231i | 0.468242 | + | 2.05150i | ||||
\(622\) | 1.02004 | − | 4.46909i | 0.0408999 | − | 0.179194i | ||||
\(623\) | 10.4447 | + | 13.0972i | 0.418457 | + | 0.524728i | ||||
\(624\) | −5.67241 | − | 7.11297i | −0.227078 | − | 0.284747i | ||||
\(625\) | 4.22790 | − | 18.5236i | 0.169116 | − | 0.740945i | ||||
\(626\) | 4.34309 | + | 19.0283i | 0.173585 | + | 0.760524i | ||||
\(627\) | 0.645260 | + | 0.809131i | 0.0257692 | + | 0.0323136i | ||||
\(628\) | 28.2560 | − | 13.6074i | 1.12754 | − | 0.542993i | ||||
\(629\) | 6.53319 | − | 3.14622i | 0.260495 | − | 0.125448i | ||||
\(630\) | −3.22521 | − | 14.1306i | −0.128495 | − | 0.562975i | ||||
\(631\) | −14.5070 | + | 18.1912i | −0.577515 | + | 0.724180i | −0.981687 | − | 0.190503i | \(-0.938988\pi\) |
0.404172 | + | 0.914683i | \(0.367560\pi\) | |||||||
\(632\) | 10.6332 | + | 5.12067i | 0.422965 | + | 0.203689i | ||||
\(633\) | −18.0281 | + | 22.6065i | −0.716553 | + | 0.898529i | ||||
\(634\) | −2.70464 | + | 11.8498i | −0.107415 | + | 0.470615i | ||||
\(635\) | 8.42327 | − | 4.05643i | 0.334267 | − | 0.160975i | ||||
\(636\) | −2.61260 | + | 11.4466i | −0.103597 | + | 0.453886i | ||||
\(637\) | 25.3131 | + | 12.1902i | 1.00294 | + | 0.482992i | ||||
\(638\) | −1.30367 | −0.0516127 | ||||||||
\(639\) | −5.05562 | −0.199997 | ||||||||
\(640\) | −15.8562 | − | 7.63596i | −0.626773 | − | 0.301838i | ||||
\(641\) | −2.50700 | − | 10.9839i | −0.0990206 | − | 0.433837i | 0.900979 | − | 0.433862i | \(-0.142849\pi\) |
−1.00000 | 2.43722e-5i | \(0.999992\pi\) | ||||||||
\(642\) | −5.96562 | − | 7.48065i | −0.235444 | − | 0.295238i | ||||
\(643\) | −5.65817 | + | 7.09512i | −0.223136 | + | 0.279804i | −0.880781 | − | 0.473524i | \(-0.842982\pi\) |
0.657644 | + | 0.753329i | \(0.271553\pi\) | |||||||
\(644\) | 5.77910 | 0.227729 | ||||||||
\(645\) | −34.4620 | + | 25.0149i | −1.35694 | + | 0.984959i | ||||
\(646\) | −1.22329 | −0.0481297 | ||||||||
\(647\) | −3.99462 | + | 5.00910i | −0.157045 | + | 0.196928i | −0.854129 | − | 0.520061i | \(-0.825909\pi\) |
0.697084 | + | 0.716989i | \(0.254480\pi\) | |||||||
\(648\) | −42.4083 | − | 53.1783i | −1.66595 | − | 2.08904i | ||||
\(649\) | −0.925132 | − | 4.05327i | −0.0363146 | − | 0.159105i | ||||
\(650\) | 3.64795 | + | 1.75676i | 0.143084 | + | 0.0689058i | ||||
\(651\) | −17.6722 | −0.692627 | ||||||||
\(652\) | 17.0431 | 0.667458 | ||||||||
\(653\) | 25.8315 | + | 12.4398i | 1.01087 | + | 0.486807i | 0.864612 | − | 0.502440i | \(-0.167564\pi\) |
0.146254 | + | 0.989247i | \(0.453278\pi\) | |||||||
\(654\) | −3.25959 | + | 14.2812i | −0.127460 | + | 0.558440i | ||||
\(655\) | −7.92154 | + | 3.81481i | −0.309520 | + | 0.149057i | ||||
\(656\) | −0.714988 | + | 3.13257i | −0.0279156 | + | 0.122306i | ||||
\(657\) | −26.2268 | + | 32.8874i | −1.02321 | + | 1.28306i | ||||
\(658\) | −0.865625 | − | 0.416863i | −0.0337456 | − | 0.0162510i | ||||
\(659\) | 5.82118 | − | 7.29953i | 0.226761 | − | 0.284349i | −0.655415 | − | 0.755269i | \(-0.727506\pi\) |
0.882176 | + | 0.470919i | \(0.156078\pi\) | |||||||
\(660\) | −0.657105 | − | 2.87896i | −0.0255778 | − | 0.112064i | ||||
\(661\) | −6.33901 | + | 3.05271i | −0.246559 | + | 0.118737i | −0.553082 | − | 0.833127i | \(-0.686549\pi\) |
0.306523 | + | 0.951863i | \(0.400834\pi\) | |||||||
\(662\) | −16.7524 | + | 8.06751i | −0.651099 | + | 0.313553i | ||||
\(663\) | 16.3937 | + | 20.5571i | 0.636680 | + | 0.798371i | ||||
\(664\) | −3.64556 | − | 15.9722i | −0.141475 | − | 0.619842i | ||||
\(665\) | −0.507106 | + | 2.22178i | −0.0196647 | + | 0.0861568i | ||||
\(666\) | 17.0511 | + | 21.3814i | 0.660716 | + | 0.828511i | ||||
\(667\) | 10.7518 | + | 13.4824i | 0.416312 | + | 0.522039i | ||||
\(668\) | −6.72305 | + | 29.4556i | −0.260123 | + | 1.13967i | ||||
\(669\) | −3.53319 | − | 15.4799i | −0.136601 | − | 0.598488i | ||||
\(670\) | 6.65279 | + | 8.34234i | 0.257020 | + | 0.322293i | ||||
\(671\) | 1.39828 | − | 0.673376i | 0.0539800 | − | 0.0259954i | ||||
\(672\) | −20.4300 | + | 9.83859i | −0.788106 | + | 0.379532i | ||||
\(673\) | 0.0866540 | + | 0.379656i | 0.00334027 | + | 0.0146347i | 0.976571 | − | 0.215197i | \(-0.0690395\pi\) |
−0.973230 | + | 0.229832i | \(0.926182\pi\) | |||||||
\(674\) | 10.7322 | − | 13.4578i | 0.413389 | − | 0.518374i | ||||
\(675\) | −13.2899 | − | 6.40006i | −0.511527 | − | 0.246338i | ||||
\(676\) | −10.5680 | + | 13.2519i | −0.406462 | + | 0.509687i | ||||
\(677\) | −0.809602 | + | 3.54710i | −0.0311155 | + | 0.136326i | −0.988100 | − | 0.153813i | \(-0.950845\pi\) |
0.956984 | + | 0.290139i | \(0.0937017\pi\) | |||||||
\(678\) | −5.90193 | + | 2.84222i | −0.226662 | + | 0.109155i | ||||
\(679\) | 4.05171 | − | 17.7517i | 0.155490 | − | 0.681248i | ||||
\(680\) | 7.78017 | + | 3.74673i | 0.298356 | + | 0.143681i | ||||
\(681\) | 13.4862 | 0.516792 | ||||||||
\(682\) | 1.22090 | 0.0467506 | ||||||||
\(683\) | −25.1797 | − | 12.1259i | −0.963475 | − | 0.463985i | −0.115084 | − | 0.993356i | \(-0.536714\pi\) |
−0.848391 | + | 0.529371i | \(0.822428\pi\) | |||||||
\(684\) | 2.16607 | + | 9.49018i | 0.0828218 | + | 0.362866i | ||||
\(685\) | −7.01507 | − | 8.79661i | −0.268032 | − | 0.336101i | ||||
\(686\) | 7.52661 | − | 9.43808i | 0.287367 | − | 0.360347i | ||||
\(687\) | 63.4728 | 2.42164 | ||||||||
\(688\) | 2.73945 | + | 2.39552i | 0.104440 | + | 0.0913283i | ||||
\(689\) | 13.4547 | 0.512584 | ||||||||
\(690\) | 11.5429 | − | 14.4743i | 0.439430 | − | 0.551028i | ||||
\(691\) | 16.1848 | + | 20.2951i | 0.615698 | + | 0.772061i | 0.987732 | − | 0.156158i | \(-0.0499109\pi\) |
−0.372034 | + | 0.928219i | \(0.621339\pi\) | |||||||
\(692\) | 0.660030 | + | 2.89178i | 0.0250906 | + | 0.109929i | ||||
\(693\) | −2.72856 | − | 1.31401i | −0.103649 | − | 0.0499150i | ||||
\(694\) | −20.5429 | −0.779797 | ||||||||
\(695\) | −33.0858 | −1.25501 | ||||||||
\(696\) | −38.2020 | − | 18.3971i | −1.44804 | − | 0.697341i | ||||
\(697\) | 2.06638 | − | 9.05338i | 0.0782696 | − | 0.342921i | ||||
\(698\) | 6.99396 | − | 3.36811i | 0.264725 | − | 0.127485i | ||||
\(699\) | −5.60560 | + | 24.5598i | −0.212023 | + | 0.928935i | ||||
\(700\) | −1.01357 | + | 1.27098i | −0.0383095 | + | 0.0480386i | ||||
\(701\) | 38.4529 | + | 18.5179i | 1.45234 | + | 0.699412i | 0.983001 | − | 0.183603i | \(-0.0587760\pi\) |
0.469344 | + | 0.883015i | \(0.344490\pi\) | |||||||
\(702\) | −37.2373 | + | 46.6942i | −1.40543 | + | 1.76236i | ||||
\(703\) | −0.956828 | − | 4.19214i | −0.0360874 | − | 0.158109i | ||||
\(704\) | 1.07630 | − | 0.518319i | 0.0405646 | − | 0.0195349i | ||||
\(705\) | 5.85086 | − | 2.81762i | 0.220356 | − | 0.106118i | ||||
\(706\) | −0.207751 | − | 0.260511i | −0.00781881 | − | 0.00980448i | ||||
\(707\) | −4.26228 | − | 18.6743i | −0.160300 | − | 0.702319i | ||||
\(708\) | 12.1625 | − | 53.2873i | 0.457094 | − | 2.00266i | ||||
\(709\) | −17.4400 | − | 21.8690i | −0.654971 | − | 0.821308i | 0.337814 | − | 0.941213i | \(-0.390313\pi\) |
−0.992785 | + | 0.119905i | \(0.961741\pi\) | |||||||
\(710\) | 0.670251 | + | 0.840468i | 0.0251541 | + | 0.0315422i | ||||
\(711\) | −7.35839 | + | 32.2392i | −0.275961 | + | 1.20906i | ||||
\(712\) | −8.37598 | − | 36.6976i | −0.313903 | − | 1.37530i | ||||
\(713\) | −10.0692 | − | 12.6264i | −0.377094 | − | 0.472861i | ||||
\(714\) | 4.50796 | − | 2.17092i | 0.168706 | − | 0.0812446i | ||||
\(715\) | −3.04892 | + | 1.46828i | −0.114023 | + | 0.0549106i | ||||
\(716\) | 3.08503 | + | 13.5164i | 0.115293 | + | 0.505132i | ||||
\(717\) | −31.6836 | + | 39.7300i | −1.18325 | + | 1.48374i | ||||
\(718\) | 5.16152 | + | 2.48566i | 0.192626 | + | 0.0927639i | ||||
\(719\) | 23.7969 | − | 29.8403i | 0.887473 | − | 1.11286i | −0.105489 | − | 0.994420i | \(-0.533641\pi\) |
0.992962 | − | 0.118435i | \(-0.0377879\pi\) | |||||||
\(720\) | 1.86294 | − | 8.16206i | 0.0694276 | − | 0.304182i | ||||
\(721\) | 16.2838 | − | 7.84187i | 0.606441 | − | 0.292047i | ||||
\(722\) | 3.22909 | − | 14.1476i | 0.120174 | − | 0.526519i | ||||
\(723\) | −28.0531 | − | 13.5097i | −1.04331 | − | 0.502430i | ||||
\(724\) | 18.0175 | 0.669614 | ||||||||
\(725\) | −4.85086 | −0.180156 | ||||||||
\(726\) | −25.5426 | − | 12.3007i | −0.947976 | − | 0.456521i | ||||
\(727\) | 6.28687 | + | 27.5446i | 0.233167 | + | 1.02157i | 0.946994 | + | 0.321250i | \(0.104103\pi\) |
−0.713827 | + | 0.700322i | \(0.753040\pi\) | |||||||
\(728\) | 10.1528 | + | 12.7312i | 0.376288 | + | 0.471850i | ||||
\(729\) | 29.2392 | − | 36.6648i | 1.08293 | − | 1.35796i | ||||
\(730\) | 8.94438 | 0.331046 | ||||||||
\(731\) | −7.91723 | − | 6.92325i | −0.292829 | − | 0.256066i | ||||
\(732\) | 20.4034 | 0.754132 | ||||||||
\(733\) | −5.51775 | + | 6.91904i | −0.203803 | + | 0.255561i | −0.873220 | − | 0.487326i | \(-0.837972\pi\) |
0.669417 | + | 0.742887i | \(0.266544\pi\) | |||||||
\(734\) | 4.00216 | + | 5.01854i | 0.147722 | + | 0.185238i | ||||
\(735\) | 8.04115 | + | 35.2306i | 0.296602 | + | 1.29950i | ||||
\(736\) | −18.6700 | − | 8.99100i | −0.688186 | − | 0.331413i | ||||
\(737\) | 2.22952 | 0.0821255 | ||||||||
\(738\) | 35.0224 | 1.28919 | ||||||||
\(739\) | −33.9729 | − | 16.3605i | −1.24971 | − | 0.601830i | −0.312279 | − | 0.949991i | \(-0.601092\pi\) |
−0.937435 | + | 0.348160i | \(0.886807\pi\) | |||||||
\(740\) | −2.73019 | + | 11.9617i | −0.100364 | + | 0.439722i | ||||
\(741\) | 14.0477 | − | 6.76503i | 0.516056 | − | 0.248519i | ||||
\(742\) | 0.569728 | − | 2.49614i | 0.0209154 | − | 0.0916363i | ||||
\(743\) | 3.45779 | − | 4.33593i | 0.126854 | − | 0.159070i | −0.714349 | − | 0.699790i | \(-0.753277\pi\) |
0.841202 | + | 0.540720i | \(0.181848\pi\) | |||||||
\(744\) | 35.7766 | + | 17.2291i | 1.31163 | + | 0.631649i | ||||
\(745\) | −11.2349 | + | 14.0881i | −0.411615 | + | 0.516149i | ||||
\(746\) | −3.51530 | − | 15.4015i | −0.128704 | − | 0.563891i | ||||
\(747\) | 41.3582 | − | 19.9170i | 1.51322 | − | 0.728726i | ||||
\(748\) | 0.657105 | − | 0.316445i | 0.0240261 | − | 0.0115704i | ||||
\(749\) | −2.74482 | − | 3.44190i | −0.100294 | − | 0.125764i | ||||
\(750\) | 6.95300 | + | 30.4631i | 0.253888 | + | 1.11235i | ||||
\(751\) | 7.78621 | − | 34.1136i | 0.284123 | − | 1.24482i | −0.608331 | − | 0.793684i | \(-0.708161\pi\) |
0.892453 | − | 0.451140i | \(-0.148982\pi\) | |||||||
\(752\) | −0.346011 | − | 0.433884i | −0.0126177 | − | 0.0158221i | ||||
\(753\) | 26.5846 | + | 33.3360i | 0.968795 | + | 1.21483i | ||||
\(754\) | −4.37047 | + | 19.1483i | −0.159163 | + | 0.697339i | ||||
\(755\) | −1.28621 | − | 5.63525i | −0.0468099 | − | 0.205088i | ||||
\(756\) | −14.9508 | − | 18.7478i | −0.543757 | − | 0.681850i | ||||
\(757\) | −39.1764 | + | 18.8663i | −1.42389 | + | 0.685709i | −0.977850 | − | 0.209305i | \(-0.932880\pi\) |
−0.446038 | + | 0.895014i | \(0.647165\pi\) | |||||||
\(758\) | 9.47919 | − | 4.56494i | 0.344300 | − | 0.165806i | ||||
\(759\) | −0.860781 | − | 3.77133i | −0.0312444 | − | 0.136890i | ||||
\(760\) | 3.19269 | − | 4.00350i | 0.115811 | − | 0.145222i | ||||
\(761\) | −23.5846 | − | 11.3577i | −0.854940 | − | 0.411717i | −0.0455308 | − | 0.998963i | \(-0.514498\pi\) |
−0.809409 | + | 0.587246i | \(0.800212\pi\) | |||||||
\(762\) | −7.58911 | + | 9.51644i | −0.274924 | + | 0.344744i | ||||
\(763\) | −1.49976 | + | 6.57089i | −0.0542951 | + | 0.237882i | ||||
\(764\) | −26.2022 | + | 12.6183i | −0.947964 | + | 0.456515i | ||||
\(765\) | −5.38404 | + | 23.5890i | −0.194660 | + | 0.852863i | ||||
\(766\) | 4.35958 | + | 2.09947i | 0.157518 | + | 0.0758568i | ||||
\(767\) | −62.6359 | −2.26165 | ||||||||
\(768\) | 46.0616 | 1.66210 | ||||||||
\(769\) | 32.1836 | + | 15.4988i | 1.16057 | + | 0.558901i | 0.912192 | − | 0.409762i | \(-0.134388\pi\) |
0.248378 | + | 0.968663i | \(0.420103\pi\) | |||||||
\(770\) | 0.143294 | + | 0.627813i | 0.00516396 | + | 0.0226248i | ||||
\(771\) | 36.0785 | + | 45.2410i | 1.29934 | + | 1.62932i | ||||
\(772\) | 7.39858 | − | 9.27752i | 0.266281 | − | 0.333905i | ||||
\(773\) | −11.2241 | −0.403704 | −0.201852 | − | 0.979416i | \(-0.564696\pi\) | ||||
−0.201852 | + | 0.979416i | \(0.564696\pi\) | |||||||
\(774\) | 18.8116 | − | 34.9209i | 0.676170 | − | 1.25520i | ||||
\(775\) | 4.54288 | 0.163185 | ||||||||
\(776\) | −25.5092 | + | 31.9875i | −0.915725 | + | 1.14828i | ||||
\(777\) | 10.9656 | + | 13.7504i | 0.393389 | + | 0.493295i | ||||
\(778\) | 0.143874 | + | 0.630351i | 0.00515812 | + | 0.0225992i | ||||
\(779\) | −4.96130 | − | 2.38924i | −0.177757 | − | 0.0856033i | ||||
\(780\) | −44.4892 | −1.59297 | ||||||||
\(781\) | 0.224618 | 0.00803748 | ||||||||
\(782\) | 4.11960 | + | 1.98390i | 0.147317 | + | 0.0709440i | ||||
\(783\) | 15.9221 | − | 69.7592i | 0.569009 | − | 2.49299i | ||||
\(784\) | 2.78232 | − | 1.33990i | 0.0993687 | − | 0.0478534i | ||||
\(785\) | 10.2862 | − | 45.0668i | 0.367131 | − | 1.60850i | ||||
\(786\) | 7.13706 | − | 8.94959i | 0.254571 | − | 0.319221i | ||||
\(787\) | −30.5030 | − | 14.6895i | −1.08731 | − | 0.523623i | −0.197666 | − | 0.980269i | \(-0.563336\pi\) |
−0.889648 | + | 0.456647i | \(0.849050\pi\) | |||||||
\(788\) | −15.6818 | + | 19.6644i | −0.558641 | + | 0.700514i | ||||
\(789\) | −23.0836 | − | 101.136i | −0.821798 | − | 3.60053i | ||||
\(790\) | 6.33513 | − | 3.05084i | 0.225394 | − | 0.108544i | ||||
\(791\) | −2.71552 | + | 1.30773i | −0.0965528 | + | 0.0464974i | ||||
\(792\) | 4.24280 | + | 5.32030i | 0.150761 | + | 0.189049i | ||||
\(793\) | −5.20291 | − | 22.7954i | −0.184761 | − | 0.809489i | ||||
\(794\) | −1.65764 | + | 7.26258i | −0.0588273 | + | 0.257739i | ||||
\(795\) | 10.7899 | + | 13.5301i | 0.382677 | + | 0.479861i | ||||
\(796\) | 2.89410 | + | 3.62909i | 0.102579 | + | 0.128630i | ||||
\(797\) | 3.00269 | − | 13.1556i | 0.106361 | − | 0.465997i | −0.893496 | − | 0.449071i | \(-0.851755\pi\) |
0.999857 | − | 0.0169256i | \(-0.00538784\pi\) | |||||||
\(798\) | −0.660220 | − | 2.89261i | −0.0233715 | − | 0.102397i | ||||
\(799\) | 1.00000 | + | 1.25396i | 0.0353775 | + | 0.0443619i | ||||
\(800\) | 5.25182 | − | 2.52915i | 0.185680 | − | 0.0894188i | ||||
\(801\) | 95.0239 | − | 45.7611i | 3.35750 | − | 1.61689i | ||||
\(802\) | 4.88135 | + | 21.3866i | 0.172367 | + | 0.755188i | ||||
\(803\) | 1.16524 | − | 1.46117i | 0.0411205 | − | 0.0515635i | ||||
\(804\) | 26.4083 | + | 12.7175i | 0.931348 | + | 0.448513i | ||||
\(805\) | 5.31096 | − | 6.65974i | 0.187187 | − | 0.234725i | ||||
\(806\) | 4.09299 | − | 17.9326i | 0.144169 | − | 0.631648i | ||||
\(807\) | −2.49612 | + | 1.20207i | −0.0878674 | + | 0.0423147i | ||||
\(808\) | −9.57726 | + | 41.9607i | −0.336927 | + | 1.47617i | ||||
\(809\) | −34.9894 | − | 16.8500i | −1.23016 | − | 0.592415i | −0.298038 | − | 0.954554i | \(-0.596332\pi\) |
−0.932124 | + | 0.362139i | \(0.882047\pi\) | |||||||
\(810\) | −40.5241 | −1.42387 | ||||||||
\(811\) | −14.9589 | −0.525276 | −0.262638 | − | 0.964894i | \(-0.584593\pi\) | ||||
−0.262638 | + | 0.964894i | \(0.584593\pi\) | |||||||
\(812\) | −7.10483 | − | 3.42151i | −0.249331 | − | 0.120071i | ||||
\(813\) | 1.64622 | + | 7.21256i | 0.0577354 | + | 0.252955i | ||||
\(814\) | −0.757569 | − | 0.949962i | −0.0265528 | − | 0.0332961i | ||||
\(815\) | 15.6625 | − | 19.6401i | 0.548633 | − | 0.687964i | ||||
\(816\) | 2.89008 | 0.101173 | ||||||||
\(817\) | −5.04719 | + | 3.66359i | −0.176579 | + | 0.128173i | ||||
\(818\) | −2.95108 | −0.103182 | ||||||||
\(819\) | −28.4475 | + | 35.6720i | −0.994036 | + | 1.24648i | ||||
\(820\) | 9.79656 | + | 12.2845i | 0.342111 | + | 0.428993i | ||||
\(821\) | −5.52489 | − | 24.2061i | −0.192820 | − | 0.844799i | −0.975081 | − | 0.221848i | \(-0.928791\pi\) |
0.782261 | − | 0.622950i | \(-0.214066\pi\) | |||||||
\(822\) | 13.1978 | + | 6.35574i | 0.460327 | + | 0.221682i | ||||
\(823\) | 40.9788 | 1.42843 | 0.714216 | − | 0.699925i | \(-0.246783\pi\) | ||||
0.714216 | + | 0.699925i | \(0.246783\pi\) | |||||||
\(824\) | −40.6112 | −1.41476 | ||||||||
\(825\) | 0.980386 | + | 0.472129i | 0.0341326 | + | 0.0164374i | ||||
\(826\) | −2.65226 | + | 11.6203i | −0.0922839 | + | 0.404322i | ||||
\(827\) | −35.8848 | + | 17.2812i | −1.24784 | + | 0.600926i | −0.936931 | − | 0.349515i | \(-0.886346\pi\) |
−0.310905 | + | 0.950441i | \(0.600632\pi\) | |||||||
\(828\) | 8.09634 | − | 35.4724i | 0.281367 | − | 1.23275i | ||||
\(829\) | 10.1540 | − | 12.7327i | 0.352663 | − | 0.442225i | −0.573582 | − | 0.819148i | \(-0.694447\pi\) |
0.926244 | + | 0.376923i | \(0.123018\pi\) | |||||||
\(830\) | −8.79417 | − | 4.23505i | −0.305250 | − | 0.147001i | ||||
\(831\) | −7.04019 | + | 8.82812i | −0.244221 | + | 0.306244i | ||||
\(832\) | −4.00484 | − | 17.5464i | −0.138843 | − | 0.608311i | ||||
\(833\) | −8.04115 | + | 3.87241i | −0.278609 | + | 0.134171i | ||||
\(834\) | 38.8098 | − | 18.6898i | 1.34387 | − | 0.647175i | ||||
\(835\) | 27.7657 | + | 34.8171i | 0.960871 | + | 1.20489i | ||||
\(836\) | −0.0962373 | − | 0.421643i | −0.00332844 | − | 0.0145828i | ||||
\(837\) | −14.9112 | + | 65.3302i | −0.515406 | + | 2.25814i | ||||
\(838\) | −12.6468 | − | 15.8585i | −0.436875 | − | 0.547824i | ||||
\(839\) | −15.7303 | − | 19.7252i | −0.543072 | − | 0.680991i | 0.432256 | − | 0.901751i | \(-0.357718\pi\) |
−0.975328 | + | 0.220760i | \(0.929146\pi\) | |||||||
\(840\) | −4.66056 | + | 20.4193i | −0.160805 | + | 0.704531i | ||||
\(841\) | 1.21701 | + | 5.33208i | 0.0419660 | + | 0.183865i | ||||
\(842\) | 8.60172 | + | 10.7862i | 0.296435 | + | 0.371718i | ||||
\(843\) | −52.9565 | + | 25.5025i | −1.82392 | + | 0.878353i | ||||
\(844\) | 10.8867 | − | 5.24277i | 0.374737 | − | 0.180464i | ||||
\(845\) | 5.55927 | + | 24.3568i | 0.191245 | + | 0.837898i | ||||
\(846\) | −3.77144 | + | 4.72923i | −0.129665 | + | 0.162594i | ||||
\(847\) | −11.7524 | − | 5.65964i | −0.403816 | − | 0.194467i | ||||
\(848\) | 0.922075 | − | 1.15625i | 0.0316642 | − | 0.0397056i | ||||
\(849\) | −17.2436 | + | 75.5493i | −0.591800 | + | 2.59284i | ||||
\(850\) | −1.15883 | + | 0.558065i | −0.0397477 | + | 0.0191415i | ||||
\(851\) | −3.57643 | + | 15.6694i | −0.122599 | + | 0.537139i | ||||
\(852\) | 2.66056 | + | 1.28126i | 0.0911494 | + | 0.0438952i | ||||
\(853\) | 24.0062 | 0.821958 | 0.410979 | − | 0.911645i | \(-0.365187\pi\) | ||||
0.410979 | + | 0.911645i | \(0.365187\pi\) | |||||||
\(854\) | −4.44935 | −0.152254 | ||||||||
\(855\) | 12.9269 | + | 6.22528i | 0.442091 | + | 0.212900i | ||||
\(856\) | 2.20118 | + | 9.64399i | 0.0752347 | + | 0.329625i | ||||
\(857\) | 19.8512 | + | 24.8926i | 0.678102 | + | 0.850313i | 0.995178 | − | 0.0980868i | \(-0.0312723\pi\) |
−0.317075 | + | 0.948400i | \(0.602701\pi\) | |||||||
\(858\) | 2.74698 | − | 3.44460i | 0.0937803 | − | 0.117597i | ||||
\(859\) | 21.3575 | 0.728708 | 0.364354 | − | 0.931261i | \(-0.381290\pi\) | ||||
0.364354 | + | 0.931261i | \(0.381290\pi\) | |||||||
\(860\) | 17.5109 | − | 3.16977i | 0.597118 | − | 0.108088i | ||||
\(861\) | 22.5230 | 0.767583 | ||||||||
\(862\) | 1.86682 | − | 2.34092i | 0.0635842 | − | 0.0797321i | ||||
\(863\) | −12.0817 | − | 15.1500i | −0.411267 | − | 0.515713i | 0.532452 | − | 0.846460i | \(-0.321271\pi\) |
−0.943719 | + | 0.330747i | \(0.892699\pi\) | |||||||
\(864\) | 19.1329 | + | 83.8269i | 0.650916 | + | 2.85185i | ||||
\(865\) | 3.93900 | + | 1.89692i | 0.133930 | + | 0.0644973i | ||||
\(866\) | 17.2194 | 0.585138 | ||||||||
\(867\) | 46.8461 | 1.59098 | ||||||||
\(868\) | 6.65375 | + | 3.20428i | 0.225843 | + | 0.108760i | ||||
\(869\) | 0.326929 | − | 1.43237i | 0.0110903 | − | 0.0485898i | ||||
\(870\) | −22.7603 | + | 10.9608i | −0.771647 | + | 0.371606i | ||||
\(871\) | 7.47434 | − | 32.7472i | 0.253259 | − | 1.10960i | ||||
\(872\) | 9.44235 | − | 11.8403i | 0.319758 | − | 0.400964i | ||||
\(873\) | −103.284 | − | 49.7392i | −3.49565 | − | 1.68342i | ||||
\(874\) | 1.69053 | − | 2.11986i | 0.0571830 | − | 0.0717052i | ||||
\(875\) | 3.19913 | + | 14.0163i | 0.108150 | + | 0.473837i | ||||
\(876\) | 22.1368 | − | 10.6605i | 0.747934 | − | 0.360186i | ||||
\(877\) | −25.6857 | + | 12.3696i | −0.867346 | + | 0.417692i | −0.813987 | − | 0.580884i | \(-0.802707\pi\) |
−0.0533593 | + | 0.998575i | \(0.516993\pi\) | |||||||
\(878\) | −6.59395 | − | 8.26855i | −0.222535 | − | 0.279050i | ||||
\(879\) | 19.8710 | + | 87.0605i | 0.670232 | + | 2.93648i | ||||
\(880\) | −0.0827692 | + | 0.362636i | −0.00279015 | + | 0.0122244i | ||||
\(881\) | 18.2216 | + | 22.8492i | 0.613902 | + | 0.769809i | 0.987472 | − | 0.157793i | \(-0.0504379\pi\) |
−0.373570 | + | 0.927602i | \(0.621867\pi\) | |||||||
\(882\) | −20.9867 | − | 26.3165i | −0.706660 | − | 0.886123i | ||||
\(883\) | −4.60925 | + | 20.1945i | −0.155114 | + | 0.679597i | 0.836238 | + | 0.548366i | \(0.184750\pi\) |
−0.991352 | + | 0.131231i | \(0.958107\pi\) | |||||||
\(884\) | −2.44504 | − | 10.7124i | −0.0822357 | − | 0.360298i | ||||
\(885\) | −50.2301 | − | 62.9866i | −1.68847 | − | 2.11727i | ||||
\(886\) | 20.3811 | − | 9.81503i | 0.684717 | − | 0.329742i | ||||
\(887\) | 26.1673 | − | 12.6015i | 0.878613 | − | 0.423118i | 0.0604952 | − | 0.998168i | \(-0.480732\pi\) |
0.818118 | + | 0.575051i | \(0.195018\pi\) | |||||||
\(888\) | −8.79374 | − | 38.5279i | −0.295099 | − | 1.29291i | ||||
\(889\) | −3.49180 | + | 4.37858i | −0.117111 | + | 0.146853i | ||||
\(890\) | −20.2054 | − | 9.73039i | −0.677285 | − | 0.326163i | ||||
\(891\) | −5.27934 | + | 6.62008i | −0.176865 | + | 0.221781i | ||||
\(892\) | −1.47650 | + | 6.46897i | −0.0494369 | + | 0.216597i | ||||
\(893\) | 0.856896 | − | 0.412659i | 0.0286749 | − | 0.0138091i | ||||
\(894\) | 5.22037 | − | 22.8719i | 0.174595 | − | 0.764951i | ||||
\(895\) | 18.4112 | + | 8.86636i | 0.615418 | + | 0.296370i | ||||
\(896\) | 10.5424 | 0.352197 | ||||||||
\(897\) | −58.2790 | −1.94588 | ||||||||
\(898\) | −17.4998 | − | 8.42744i | −0.583975 | − | 0.281227i | ||||
\(899\) | 4.90366 | + | 21.4843i | 0.163546 | + | 0.716542i | ||||
\(900\) | 6.38135 | + | 8.00197i | 0.212712 | + | 0.266732i | ||||
\(901\) | −2.66487 | + | 3.34165i | −0.0887798 | + | 0.111326i | ||||
\(902\) | −1.55602 | −0.0518099 | ||||||||
\(903\) | 12.0978 | − | 22.4578i | 0.402591 | − | 0.747347i | ||||
\(904\) | 6.77240 | 0.225247 | ||||||||
\(905\) | 16.5579 | − | 20.7630i | 0.550405 | − | 0.690186i | ||||
\(906\) | 4.69202 | + | 5.88361i | 0.155882 | + | 0.195470i | ||||
\(907\) | −2.97823 | − | 13.0485i | −0.0988905 | − | 0.433268i | 0.901109 | − | 0.433592i | \(-0.142754\pi\) |
−1.00000 | 0.000324123i | \(0.999897\pi\) | ||||||||
\(908\) | −5.07769 | − | 2.44529i | −0.168509 | − | 0.0811497i | ||||
\(909\) | −120.595 | −3.99988 | ||||||||
\(910\) | 9.70171 | 0.321609 | ||||||||
\(911\) | −26.4511 | − | 12.7382i | −0.876365 | − | 0.422035i | −0.0590697 | − | 0.998254i | \(-0.518813\pi\) |
−0.817296 | + | 0.576219i | \(0.804528\pi\) | |||||||
\(912\) | 0.381355 | − | 1.67082i | 0.0126279 | − | 0.0553265i | ||||
\(913\) | −1.83752 | + | 0.884902i | −0.0608130 | + | 0.0292860i | ||||
\(914\) | −4.18406 | + | 18.3316i | −0.138396 | + | 0.606355i | ||||
\(915\) | 18.7506 | − | 23.5125i | 0.619877 | − | 0.777301i | ||||
\(916\) | −23.8981 | − | 11.5087i | −0.789617 | − | 0.380260i | ||||
\(917\) | 3.28382 | − | 4.11777i | 0.108441 | − | 0.135981i | ||||
\(918\) | −4.22175 | − | 18.4967i | −0.139339 | − | 0.610482i | ||||
\(919\) | −33.1688 | + | 15.9733i | −1.09414 | + | 0.526909i | −0.891811 | − | 0.452409i | \(-0.850565\pi\) |
−0.202328 | + | 0.979318i | \(0.564851\pi\) | |||||||
\(920\) | −17.2446 | + | 8.30456i | −0.568537 | + | 0.273793i | ||||
\(921\) | 41.0637 | + | 51.4923i | 1.35310 | + | 1.69673i | ||||
\(922\) | 2.96585 | + | 12.9942i | 0.0976752 | + | 0.427943i | ||||
\(923\) | 0.753020 | − | 3.29920i | 0.0247860 | − | 0.108594i | ||||
\(924\) | 1.10292 | + | 1.38301i | 0.0362833 | + | 0.0454978i | ||||
\(925\) | −2.81886 | − | 3.53474i | −0.0926837 | − | 0.116222i | ||||
\(926\) | 1.02619 | − | 4.49602i | 0.0337226 | − | 0.147748i | ||||
\(927\) | −25.3207 | − | 110.937i | −0.831639 | − | 3.64365i | ||||
\(928\) | 17.6298 | + | 22.1071i | 0.578727 | + | 0.725701i | ||||
\(929\) | 26.0330 | − | 12.5368i | 0.854113 | − | 0.411319i | 0.0450106 | − | 0.998987i | \(-0.485668\pi\) |
0.809103 | + | 0.587667i | \(0.199954\pi\) | |||||||
\(930\) | 21.3153 | − | 10.2649i | 0.698955 | − | 0.336599i | ||||
\(931\) | 1.17768 | + | 5.15975i | 0.0385969 | + | 0.169104i | ||||
\(932\) | 6.56369 | − | 8.23060i | 0.215001 | − | 0.269602i | ||||
\(933\) | −16.7223 | − | 8.05303i | −0.547463 | − | 0.263644i | ||||
\(934\) | 11.7274 | − | 14.7057i | 0.383731 | − | 0.481184i | ||||
\(935\) | 0.239210 | − | 1.04805i | 0.00782300 | − | 0.0342748i | ||||
\(936\) | 92.3684 | − | 44.4823i | 3.01916 | − | 1.45395i | ||||
\(937\) | 0.664874 | − | 2.91301i | 0.0217205 | − | 0.0951637i | −0.962906 | − | 0.269838i | \(-0.913030\pi\) |
0.984626 | + | 0.174674i | \(0.0558871\pi\) | |||||||
\(938\) | −5.75882 | − | 2.77330i | −0.188032 | − | 0.0905516i | ||||
\(939\) | 79.0253 | 2.57889 | ||||||||
\(940\) | −2.71379 | −0.0885141 | ||||||||
\(941\) | 1.03827 | + | 0.500004i | 0.0338466 | + | 0.0162997i | 0.450730 | − | 0.892660i | \(-0.351164\pi\) |
−0.416884 | + | 0.908960i | \(0.636878\pi\) | |||||||
\(942\) | 13.3920 | + | 58.6742i | 0.436335 | + | 1.91171i | ||||
\(943\) | 12.8331 | + | 16.0922i | 0.417903 | + | 0.524034i | ||||
\(944\) | −4.29254 | + | 5.38268i | −0.139710 | + | 0.175191i | ||||
\(945\) | −35.3443 | −1.14975 | ||||||||
\(946\) | −0.835790 | + | 1.55151i | −0.0271739 | + | 0.0504441i | ||||
\(947\) | 33.6939 | 1.09491 | 0.547453 | − | 0.836836i | \(-0.315597\pi\) | ||||
0.547453 | + | 0.836836i | \(0.315597\pi\) | |||||||
\(948\) | 12.0429 | − | 15.1013i | 0.391134 | − | 0.490467i | ||||
\(949\) | −17.5553 | − | 22.0136i | −0.569868 | − | 0.714591i | ||||
\(950\) | 0.169719 | + | 0.743586i | 0.00550640 | + | 0.0241251i | ||||
\(951\) | 44.3391 | + | 21.3526i | 1.43779 | + | 0.692405i | ||||
\(952\) | −5.17283 | −0.167653 | ||||||||
\(953\) | −23.9463 | −0.775697 | −0.387848 | − | 0.921723i | \(-0.626782\pi\) | ||||
−0.387848 | + | 0.921723i | \(0.626782\pi\) | |||||||
\(954\) | −14.5233 | − | 6.99403i | −0.470208 | − | 0.226440i | ||||
\(955\) | −9.53856 | + | 41.7912i | −0.308661 | + | 1.35233i | ||||
\(956\) | 19.1329 | − | 9.21394i | 0.618804 | − | 0.298000i | ||||
\(957\) | −1.17456 | + | 5.14610i | −0.0379682 | + | 0.166350i | ||||
\(958\) | 13.3639 | − | 16.7578i | 0.431768 | − | 0.541420i | ||||
\(959\) | 6.07242 | + | 2.92432i | 0.196089 | + | 0.0944313i | ||||
\(960\) | 14.4330 | − | 18.0984i | 0.465822 | − | 0.584122i | ||||
\(961\) | 2.30582 | + | 10.1025i | 0.0743814 | + | 0.325886i | ||||
\(962\) | −16.4928 | + | 7.94250i | −0.531748 | + | 0.256076i | ||||
\(963\) | −24.9720 | + | 12.0259i | −0.804710 | + | 0.387528i | ||||
\(964\) | 8.11274 | + | 10.1730i | 0.261294 | + | 0.327652i | ||||
\(965\) | −3.89200 | − | 17.0520i | −0.125288 | − | 0.548923i | ||||
\(966\) | −2.46777 | + | 10.8120i | −0.0793993 | + | 0.347871i | ||||
\(967\) | −21.6147 | − | 27.1040i | −0.695081 | − | 0.871605i | 0.301564 | − | 0.953446i | \(-0.402491\pi\) |
−0.996645 | + | 0.0818414i | \(0.973920\pi\) | |||||||
\(968\) | 18.2744 | + | 22.9154i | 0.587362 | + | 0.736529i | ||||
\(969\) | −1.10215 | + | 4.82882i | −0.0354060 | + | 0.155124i | ||||
\(970\) | 5.42413 | + | 23.7646i | 0.174158 | + | 0.763037i | ||||
\(971\) | −12.4936 | − | 15.6665i | −0.400938 | − | 0.502761i | 0.539847 | − | 0.841763i | \(-0.318482\pi\) |
−0.940786 | + | 0.339002i | \(0.889911\pi\) | |||||||
\(972\) | −46.1960 | + | 22.2468i | −1.48174 | + | 0.713567i | ||||
\(973\) | 17.8567 | − | 8.59931i | 0.572458 | − | 0.275681i | ||||
\(974\) | 1.78913 | + | 7.83871i | 0.0573275 | + | 0.251168i | ||||
\(975\) | 10.2213 | − | 12.8171i | 0.327344 | − | 0.410477i | ||||
\(976\) | −2.31551 | − | 1.11509i | −0.0741177 | − | 0.0356932i | ||||
\(977\) | 33.5812 | − | 42.1095i | 1.07436 | − | 1.34720i | 0.140289 | − | 0.990111i | \(-0.455197\pi\) |
0.934069 | − | 0.357092i | \(-0.116232\pi\) | |||||||
\(978\) | −7.27767 | + | 31.8856i | −0.232714 | + | 1.01959i | ||||
\(979\) | −4.22186 | + | 2.03314i | −0.134931 | + | 0.0649794i | ||||
\(980\) | 3.36035 | − | 14.7227i | 0.107343 | − | 0.470298i | ||||
\(981\) | 38.2313 | + | 18.4112i | 1.22063 | + | 0.587825i | ||||
\(982\) | −16.8640 | −0.538152 | ||||||||
\(983\) | 37.8993 | 1.20880 | 0.604400 | − | 0.796681i | \(-0.293413\pi\) | ||||
0.604400 | + | 0.796681i | \(0.293413\pi\) | |||||||
\(984\) | −45.5969 | − | 21.9583i | −1.45358 | − | 0.700006i | ||||
\(985\) | 8.24937 | + | 36.1429i | 0.262847 | + | 1.15161i | ||||
\(986\) | −3.89008 | − | 4.87801i | −0.123886 | − | 0.155348i | ||||
\(987\) | −2.42543 | + | 3.04139i | −0.0772022 | + | 0.0968085i | ||||
\(988\) | −6.51573 | −0.207293 | ||||||||
\(989\) | 22.9386 | − | 4.15228i | 0.729406 | − | 0.132035i | ||||
\(990\) | 4.05429 | 0.128854 | ||||||||
\(991\) | −15.6852 | + | 19.6686i | −0.498255 | + | 0.624792i | −0.965835 | − | 0.259159i | \(-0.916555\pi\) |
0.467579 | + | 0.883951i | \(0.345126\pi\) | |||||||
\(992\) | −16.5105 | − | 20.7035i | −0.524209 | − | 0.657338i | ||||
\(993\) | 16.7524 | + | 73.3969i | 0.531620 | + | 2.32918i | ||||
\(994\) | −0.580186 | − | 0.279403i | −0.0184024 | − | 0.00886212i | ||||
\(995\) | 6.84176 | 0.216898 | ||||||||
\(996\) | −26.8127 | −0.849593 | ||||||||
\(997\) | 41.5245 | + | 19.9972i | 1.31509 | + | 0.633316i | 0.954166 | − | 0.299277i | \(-0.0967456\pi\) |
0.360928 | + | 0.932594i | \(0.382460\pi\) | |||||||
\(998\) | −5.51165 | + | 24.1481i | −0.174468 | + | 0.764396i | ||||
\(999\) | 60.0849 | − | 28.9353i | 1.90100 | − | 0.915474i |
(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 | 43.2.e.b.4.1 | ✓ | 6 | |
3.2 | odd | 2 | 387.2.u.a.262.1 | 6 | |||
4.3 | odd | 2 | 688.2.u.c.305.1 | 6 | |||
43.11 | even | 7 | inner | 43.2.e.b.11.1 | yes | 6 | |
43.21 | even | 7 | 1849.2.a.i.1.3 | 3 | |||
43.22 | odd | 14 | 1849.2.a.l.1.1 | 3 | |||
129.11 | odd | 14 | 387.2.u.a.226.1 | 6 | |||
172.11 | odd | 14 | 688.2.u.c.97.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.e.b.4.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
43.2.e.b.11.1 | yes | 6 | 43.11 | even | 7 | inner | |
387.2.u.a.226.1 | 6 | 129.11 | odd | 14 | |||
387.2.u.a.262.1 | 6 | 3.2 | odd | 2 | |||
688.2.u.c.97.1 | 6 | 172.11 | odd | 14 | |||
688.2.u.c.305.1 | 6 | 4.3 | odd | 2 | |||
1849.2.a.i.1.3 | 3 | 43.21 | even | 7 | |||
1849.2.a.l.1.1 | 3 | 43.22 | odd | 14 |