Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,2,Mod(13,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.n (of order \(8\), degree \(4\), 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: | \(0.766563859404\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 61.4 | ||
Character | \(\chi\) | \(=\) | 96.61 |
Dual form | 96.2.n.a.85.4 |
$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{8}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.607577 | − | 1.27705i | −0.429622 | − | 0.903009i | ||||
\(3\) | 0.923880 | + | 0.382683i | 0.533402 | + | 0.220942i | ||||
\(4\) | −1.26170 | + | 1.55181i | −0.630850 | + | 0.775905i | ||||
\(5\) | −1.35803 | − | 3.27858i | −0.607330 | − | 1.46623i | −0.865892 | − | 0.500230i | \(-0.833249\pi\) |
0.258562 | − | 0.965995i | \(-0.416751\pi\) | |||||||
\(6\) | −0.0726234 | − | 1.41235i | −0.0296484 | − | 0.576589i | ||||
\(7\) | 2.48546 | − | 2.48546i | 0.939415 | − | 0.939415i | −0.0588516 | − | 0.998267i | \(-0.518744\pi\) |
0.998267 | + | 0.0588516i | \(0.0187439\pi\) | |||||||
\(8\) | 2.74831 | + | 0.668405i | 0.971676 | + | 0.236317i | ||||
\(9\) | 0.707107 | + | 0.707107i | 0.235702 | + | 0.235702i | ||||
\(10\) | −3.36179 | + | 3.72626i | −1.06309 | + | 1.17835i | ||||
\(11\) | 0.420646 | − | 0.174237i | 0.126829 | − | 0.0525345i | −0.318366 | − | 0.947968i | \(-0.603134\pi\) |
0.445196 | + | 0.895433i | \(0.353134\pi\) | |||||||
\(12\) | −1.75951 | + | 0.950854i | −0.507927 | + | 0.274488i | ||||
\(13\) | −1.98881 | + | 4.80141i | −0.551596 | + | 1.33167i | 0.364684 | + | 0.931131i | \(0.381177\pi\) |
−0.916280 | + | 0.400539i | \(0.868823\pi\) | |||||||
\(14\) | −4.68416 | − | 1.66394i | −1.25189 | − | 0.444707i | ||||
\(15\) | − | 3.54871i | − | 0.916273i | ||||||
\(16\) | −0.816228 | − | 3.91584i | −0.204057 | − | 0.978959i | ||||
\(17\) | 4.75470i | 1.15318i | 0.817032 | + | 0.576592i | \(0.195618\pi\) | ||||
−0.817032 | + | 0.576592i | \(0.804382\pi\) | |||||||
\(18\) | 0.473387 | − | 1.33263i | 0.111578 | − | 0.314104i | ||||
\(19\) | −0.402518 | + | 0.971765i | −0.0923440 | + | 0.222938i | −0.963302 | − | 0.268419i | \(-0.913499\pi\) |
0.870958 | + | 0.491357i | \(0.163499\pi\) | |||||||
\(20\) | 6.80116 | + | 2.02917i | 1.52079 | + | 0.453737i | ||||
\(21\) | 3.24741 | − | 1.34512i | 0.708643 | − | 0.293529i | ||||
\(22\) | −0.478084 | − | 0.431322i | −0.101928 | − | 0.0919582i | ||||
\(23\) | 0.739125 | + | 0.739125i | 0.154118 | + | 0.154118i | 0.779955 | − | 0.625836i | \(-0.215242\pi\) |
−0.625836 | + | 0.779955i | \(0.715242\pi\) | |||||||
\(24\) | 2.28332 | + | 1.66926i | 0.466082 | + | 0.340736i | ||||
\(25\) | −5.36930 | + | 5.36930i | −1.07386 | + | 1.07386i | ||||
\(26\) | 7.33998 | − | 0.377424i | 1.43949 | − | 0.0740190i | ||||
\(27\) | 0.382683 | + | 0.923880i | 0.0736475 | + | 0.177801i | ||||
\(28\) | 0.721057 | + | 6.99286i | 0.136267 | + | 1.32153i | ||||
\(29\) | −0.153117 | − | 0.0634229i | −0.0284330 | − | 0.0117773i | 0.368422 | − | 0.929659i | \(-0.379898\pi\) |
−0.396855 | + | 0.917881i | \(0.629898\pi\) | |||||||
\(30\) | −4.53187 | + | 2.15611i | −0.827402 | + | 0.393651i | ||||
\(31\) | 8.57458 | 1.54004 | 0.770020 | − | 0.638020i | \(-0.220246\pi\) | ||||
0.770020 | + | 0.638020i | \(0.220246\pi\) | |||||||
\(32\) | −4.50479 | + | 3.42154i | −0.796341 | + | 0.604848i | ||||
\(33\) | 0.455304 | 0.0792582 | ||||||||
\(34\) | 6.07198 | − | 2.88885i | 1.04134 | − | 0.495434i | ||||
\(35\) | −11.5241 | − | 4.77344i | −1.94793 | − | 0.806859i | ||||
\(36\) | −1.98945 | + | 0.205139i | −0.331575 | + | 0.0341898i | ||||
\(37\) | −2.67583 | − | 6.46002i | −0.439903 | − | 1.06202i | −0.975982 | − | 0.217852i | \(-0.930095\pi\) |
0.536079 | − | 0.844168i | \(-0.319905\pi\) | |||||||
\(38\) | 1.48555 | − | 0.0763875i | 0.240988 | − | 0.0123917i | ||||
\(39\) | −3.67484 | + | 3.67484i | −0.588445 | + | 0.588445i | ||||
\(40\) | −1.54088 | − | 9.91828i | −0.243634 | − | 1.56822i | ||||
\(41\) | −1.39247 | − | 1.39247i | −0.217467 | − | 0.217467i | 0.589963 | − | 0.807430i | \(-0.299142\pi\) |
−0.807430 | + | 0.589963i | \(0.799142\pi\) | |||||||
\(42\) | −3.69083 | − | 3.32983i | −0.569508 | − | 0.513804i | ||||
\(43\) | 2.84883 | − | 1.18002i | 0.434443 | − | 0.179952i | −0.154734 | − | 0.987956i | \(-0.549452\pi\) |
0.589177 | + | 0.808004i | \(0.299452\pi\) | |||||||
\(44\) | −0.260346 | + | 0.872597i | −0.0392486 | + | 0.131549i | ||||
\(45\) | 1.35803 | − | 3.27858i | 0.202443 | − | 0.488742i | ||||
\(46\) | 0.494822 | − | 1.39297i | 0.0729576 | − | 0.205383i | ||||
\(47\) | 0.715661i | 0.104390i | 0.998637 | + | 0.0521949i | \(0.0166217\pi\) | ||||
−0.998637 | + | 0.0521949i | \(0.983378\pi\) | |||||||
\(48\) | 0.744429 | − | 3.93012i | 0.107449 | − | 0.567264i | ||||
\(49\) | − | 5.35501i | − | 0.765002i | ||||||
\(50\) | 10.1191 | + | 3.59458i | 1.43106 | + | 0.508351i | ||||
\(51\) | −1.81955 | + | 4.39277i | −0.254787 | + | 0.615111i | ||||
\(52\) | −4.94159 | − | 9.14418i | −0.685275 | − | 1.26807i | ||||
\(53\) | −10.4455 | + | 4.32668i | −1.43480 | + | 0.594316i | −0.958533 | − | 0.284982i | \(-0.908012\pi\) |
−0.476272 | + | 0.879298i | \(0.658012\pi\) | |||||||
\(54\) | 0.947328 | − | 1.05003i | 0.128915 | − | 0.142891i | ||||
\(55\) | −1.14250 | − | 1.14250i | −0.154055 | − | 0.154055i | ||||
\(56\) | 8.49212 | − | 5.16953i | 1.13481 | − | 0.690807i | ||||
\(57\) | −0.743756 | + | 0.743756i | −0.0985130 | + | 0.0985130i | ||||
\(58\) | 0.0120360 | + | 0.234071i | 0.00158041 | + | 0.0307351i | ||||
\(59\) | 2.09568 | + | 5.05941i | 0.272834 | + | 0.658679i | 0.999602 | − | 0.0282033i | \(-0.00897857\pi\) |
−0.726768 | + | 0.686883i | \(0.758979\pi\) | |||||||
\(60\) | 5.50692 | + | 4.47740i | 0.710940 | + | 0.578030i | ||||
\(61\) | −2.81202 | − | 1.16478i | −0.360042 | − | 0.149134i | 0.195327 | − | 0.980738i | \(-0.437423\pi\) |
−0.555369 | + | 0.831604i | \(0.687423\pi\) | |||||||
\(62\) | −5.20972 | − | 10.9501i | −0.661635 | − | 1.39067i | ||||
\(63\) | 3.51497 | 0.442845 | ||||||||
\(64\) | 7.10647 | + | 3.67398i | 0.888309 | + | 0.459247i | ||||
\(65\) | 18.4427 | 2.28753 | ||||||||
\(66\) | −0.276632 | − | 0.581444i | −0.0340511 | − | 0.0715709i | ||||
\(67\) | −5.39384 | − | 2.23420i | −0.658962 | − | 0.272951i | 0.0280395 | − | 0.999607i | \(-0.491074\pi\) |
−0.687002 | + | 0.726656i | \(0.741074\pi\) | |||||||
\(68\) | −7.37840 | − | 5.99901i | −0.894762 | − | 0.727486i | ||||
\(69\) | 0.400012 | + | 0.965714i | 0.0481558 | + | 0.116258i | ||||
\(70\) | 0.905876 | + | 17.6171i | 0.108273 | + | 2.10564i | ||||
\(71\) | −8.26068 | + | 8.26068i | −0.980363 | + | 0.980363i | −0.999811 | − | 0.0194483i | \(-0.993809\pi\) |
0.0194483 | + | 0.999811i | \(0.493809\pi\) | |||||||
\(72\) | 1.47072 | + | 2.41599i | 0.173326 | + | 0.284727i | ||||
\(73\) | 4.37354 | + | 4.37354i | 0.511884 | + | 0.511884i | 0.915103 | − | 0.403219i | \(-0.132109\pi\) |
−0.403219 | + | 0.915103i | \(0.632109\pi\) | |||||||
\(74\) | −6.62398 | + | 7.34212i | −0.770022 | + | 0.853504i | ||||
\(75\) | −7.01532 | + | 2.90584i | −0.810060 | + | 0.335538i | ||||
\(76\) | −1.00014 | − | 1.85071i | −0.114724 | − | 0.212291i | ||||
\(77\) | 0.612439 | − | 1.47856i | 0.0697938 | − | 0.168497i | ||||
\(78\) | 6.92569 | + | 2.46019i | 0.784180 | + | 0.278562i | ||||
\(79\) | − | 9.46948i | − | 1.06540i | −0.846304 | − | 0.532700i | \(-0.821177\pi\) | ||
0.846304 | − | 0.532700i | \(-0.178823\pi\) | |||||||
\(80\) | −11.7299 | + | 7.99390i | −1.31144 | + | 0.893745i | ||||
\(81\) | 1.00000i | 0.111111i | ||||||||
\(82\) | −0.932218 | + | 2.62429i | −0.102946 | + | 0.289804i | ||||
\(83\) | 2.85195 | − | 6.88522i | 0.313042 | − | 0.755751i | −0.686547 | − | 0.727086i | \(-0.740874\pi\) |
0.999589 | − | 0.0286653i | \(-0.00912568\pi\) | |||||||
\(84\) | −2.00988 | + | 6.73650i | −0.219296 | + | 0.735012i | ||||
\(85\) | 15.5887 | − | 6.45704i | 1.69083 | − | 0.700364i | ||||
\(86\) | −3.23783 | − | 2.92114i | −0.349144 | − | 0.314994i | ||||
\(87\) | −0.117190 | − | 0.117190i | −0.0125641 | − | 0.0125641i | ||||
\(88\) | 1.27253 | − | 0.197697i | 0.135652 | − | 0.0210745i | ||||
\(89\) | 8.60493 | − | 8.60493i | 0.912120 | − | 0.912120i | −0.0843186 | − | 0.996439i | \(-0.526871\pi\) |
0.996439 | + | 0.0843186i | \(0.0268713\pi\) | |||||||
\(90\) | −5.01201 | + | 0.257719i | −0.528312 | + | 0.0271660i | ||||
\(91\) | 6.99060 | + | 16.8768i | 0.732814 | + | 1.76917i | ||||
\(92\) | −2.07954 | + | 0.214428i | −0.216807 | + | 0.0223557i | ||||
\(93\) | 7.92188 | + | 3.28135i | 0.821460 | + | 0.340260i | ||||
\(94\) | 0.913933 | − | 0.434819i | 0.0942650 | − | 0.0448482i | ||||
\(95\) | 3.73264 | 0.382961 | ||||||||
\(96\) | −5.47124 | + | 1.43718i | −0.558407 | + | 0.146682i | ||||
\(97\) | −10.2117 | −1.03684 | −0.518420 | − | 0.855126i | \(-0.673480\pi\) | ||||
−0.518420 | + | 0.855126i | \(0.673480\pi\) | |||||||
\(98\) | −6.83860 | + | 3.25358i | −0.690803 | + | 0.328662i | ||||
\(99\) | 0.420646 | + | 0.174237i | 0.0422765 | + | 0.0175115i | ||||
\(100\) | −1.55769 | − | 15.1066i | −0.155769 | − | 1.51066i | ||||
\(101\) | −1.92210 | − | 4.64035i | −0.191256 | − | 0.461732i | 0.798941 | − | 0.601409i | \(-0.205394\pi\) |
−0.990197 | + | 0.139677i | \(0.955394\pi\) | |||||||
\(102\) | 6.71529 | − | 0.345303i | 0.664913 | − | 0.0341901i | ||||
\(103\) | −2.99647 | + | 2.99647i | −0.295251 | + | 0.295251i | −0.839150 | − | 0.543900i | \(-0.816947\pi\) |
0.543900 | + | 0.839150i | \(0.316947\pi\) | |||||||
\(104\) | −8.67515 | + | 11.8664i | −0.850669 | + | 1.16360i | ||||
\(105\) | −8.82017 | − | 8.82017i | −0.860760 | − | 0.860760i | ||||
\(106\) | 11.8719 | + | 10.7107i | 1.15310 | + | 1.04031i | ||||
\(107\) | −0.420364 | + | 0.174120i | −0.0406381 | + | 0.0168328i | −0.402910 | − | 0.915240i | \(-0.632001\pi\) |
0.362272 | + | 0.932072i | \(0.382001\pi\) | |||||||
\(108\) | −1.91652 | − | 0.571806i | −0.184417 | − | 0.0550221i | ||||
\(109\) | −1.97979 | + | 4.77963i | −0.189629 | + | 0.457806i | −0.989888 | − | 0.141849i | \(-0.954695\pi\) |
0.800259 | + | 0.599655i | \(0.204695\pi\) | |||||||
\(110\) | −0.764870 | + | 2.15319i | −0.0729275 | + | 0.205298i | ||||
\(111\) | − | 6.99227i | − | 0.663677i | ||||||
\(112\) | −11.7614 | − | 7.70395i | −1.11134 | − | 0.727955i | ||||
\(113\) | − | 6.63496i | − | 0.624164i | −0.950055 | − | 0.312082i | \(-0.898974\pi\) | ||
0.950055 | − | 0.312082i | \(-0.101026\pi\) | |||||||
\(114\) | 1.40170 | + | 0.497923i | 0.131281 | + | 0.0466347i | ||||
\(115\) | 1.41953 | − | 3.42704i | 0.132371 | − | 0.319573i | ||||
\(116\) | 0.291607 | − | 0.157587i | 0.0270751 | − | 0.0146316i | ||||
\(117\) | −4.80141 | + | 1.98881i | −0.443890 | + | 0.183865i | ||||
\(118\) | 5.18782 | − | 5.75026i | 0.477578 | − | 0.529355i | ||||
\(119\) | 11.8176 | + | 11.8176i | 1.08332 | + | 1.08332i | ||||
\(120\) | 2.37198 | − | 9.75297i | 0.216531 | − | 0.890320i | ||||
\(121\) | −7.63159 | + | 7.63159i | −0.693781 | + | 0.693781i | ||||
\(122\) | 0.221044 | + | 4.29877i | 0.0200124 | + | 0.389192i | ||||
\(123\) | −0.753600 | − | 1.81935i | −0.0679498 | − | 0.164045i | ||||
\(124\) | −10.8185 | + | 13.3061i | −0.971534 | + | 1.19492i | ||||
\(125\) | 8.50244 | + | 3.52183i | 0.760481 | + | 0.315002i | ||||
\(126\) | −2.13562 | − | 4.48878i | −0.190256 | − | 0.399893i | ||||
\(127\) | −19.1639 | −1.70052 | −0.850262 | − | 0.526360i | \(-0.823557\pi\) | ||||
−0.850262 | + | 0.526360i | \(0.823557\pi\) | |||||||
\(128\) | 0.374113 | − | 11.3075i | 0.0330673 | − | 0.999453i | ||||
\(129\) | 3.08355 | 0.271492 | ||||||||
\(130\) | −11.2053 | − | 23.5521i | −0.982773 | − | 2.06566i | ||||
\(131\) | 16.6367 | + | 6.89115i | 1.45356 | + | 0.602083i | 0.963042 | − | 0.269350i | \(-0.0868089\pi\) |
0.490514 | + | 0.871433i | \(0.336809\pi\) | |||||||
\(132\) | −0.574457 | + | 0.706545i | −0.0500000 | + | 0.0614968i | ||||
\(133\) | 1.41484 | + | 3.41572i | 0.122682 | + | 0.296181i | ||||
\(134\) | 0.423994 | + | 8.24564i | 0.0366275 | + | 0.712315i | ||||
\(135\) | 2.50932 | − | 2.50932i | 0.215968 | − | 0.215968i | ||||
\(136\) | −3.17807 | + | 13.0674i | −0.272517 | + | 1.12052i | ||||
\(137\) | −4.17579 | − | 4.17579i | −0.356762 | − | 0.356762i | 0.505856 | − | 0.862618i | \(-0.331177\pi\) |
−0.862618 | + | 0.505856i | \(0.831177\pi\) | |||||||
\(138\) | 0.990224 | − | 1.09758i | 0.0842935 | − | 0.0934322i | ||||
\(139\) | 17.1703 | − | 7.11217i | 1.45636 | − | 0.603246i | 0.492661 | − | 0.870221i | \(-0.336024\pi\) |
0.963703 | + | 0.266975i | \(0.0860242\pi\) | |||||||
\(140\) | 21.9474 | − | 11.8606i | 1.85490 | − | 1.00240i | ||||
\(141\) | −0.273872 | + | 0.661185i | −0.0230642 | + | 0.0556818i | ||||
\(142\) | 15.5683 | + | 5.53028i | 1.30646 | + | 0.464091i | ||||
\(143\) | 2.36622i | 0.197873i | ||||||||
\(144\) | 2.19175 | − | 3.34607i | 0.182646 | − | 0.278840i | ||||
\(145\) | 0.588135i | 0.0488420i | ||||||||
\(146\) | 2.92795 | − | 8.24248i | 0.242319 | − | 0.682152i | ||||
\(147\) | 2.04927 | − | 4.94739i | 0.169021 | − | 0.408054i | ||||
\(148\) | 13.4008 | + | 3.99823i | 1.10154 | + | 0.328652i | ||||
\(149\) | 7.65604 | − | 3.17123i | 0.627207 | − | 0.259798i | −0.0463589 | − | 0.998925i | \(-0.514762\pi\) |
0.673566 | + | 0.739127i | \(0.264762\pi\) | |||||||
\(150\) | 7.97325 | + | 7.19338i | 0.651013 | + | 0.587337i | ||||
\(151\) | −8.34642 | − | 8.34642i | −0.679222 | − | 0.679222i | 0.280602 | − | 0.959824i | \(-0.409466\pi\) |
−0.959824 | + | 0.280602i | \(0.909466\pi\) | |||||||
\(152\) | −1.75578 | + | 2.40167i | −0.142413 | + | 0.194801i | ||||
\(153\) | −3.36208 | + | 3.36208i | −0.271808 | + | 0.271808i | ||||
\(154\) | −2.26029 | + | 0.116225i | −0.182139 | + | 0.00936568i | ||||
\(155\) | −11.6445 | − | 28.1124i | −0.935313 | − | 2.25804i | ||||
\(156\) | −1.06611 | − | 10.3392i | −0.0853570 | − | 0.827798i | ||||
\(157\) | 1.13210 | + | 0.468931i | 0.0903514 | + | 0.0374248i | 0.427401 | − | 0.904062i | \(-0.359429\pi\) |
−0.337050 | + | 0.941487i | \(0.609429\pi\) | |||||||
\(158\) | −12.0930 | + | 5.75344i | −0.962066 | + | 0.457719i | ||||
\(159\) | −11.3062 | −0.896637 | ||||||||
\(160\) | 17.3354 | + | 10.1227i | 1.37049 | + | 0.800273i | ||||
\(161\) | 3.67413 | 0.289562 | ||||||||
\(162\) | 1.27705 | − | 0.607577i | 0.100334 | − | 0.0477358i | ||||
\(163\) | −12.5235 | − | 5.18742i | −0.980920 | − | 0.406310i | −0.166154 | − | 0.986100i | \(-0.553135\pi\) |
−0.814766 | + | 0.579790i | \(0.803135\pi\) | |||||||
\(164\) | 3.91773 | − | 0.403970i | 0.305923 | − | 0.0315448i | ||||
\(165\) | −0.618317 | − | 1.49275i | −0.0481359 | − | 0.116210i | ||||
\(166\) | −10.5255 | + | 0.541227i | −0.816940 | + | 0.0420073i | ||||
\(167\) | −6.60580 | + | 6.60580i | −0.511172 | + | 0.511172i | −0.914886 | − | 0.403713i | \(-0.867719\pi\) |
0.403713 | + | 0.914886i | \(0.367719\pi\) | |||||||
\(168\) | 9.82399 | − | 1.52623i | 0.757937 | − | 0.117751i | ||||
\(169\) | −9.90575 | − | 9.90575i | −0.761981 | − | 0.761981i | ||||
\(170\) | −17.7173 | − | 15.9843i | −1.35885 | − | 1.22594i | ||||
\(171\) | −0.971765 | + | 0.402518i | −0.0743127 | + | 0.0307813i | ||||
\(172\) | −1.76320 | + | 5.90968i | −0.134442 | + | 0.450609i | ||||
\(173\) | −7.14385 | + | 17.2468i | −0.543137 | + | 1.31125i | 0.379361 | + | 0.925249i | \(0.376144\pi\) |
−0.922499 | + | 0.386000i | \(0.873856\pi\) | |||||||
\(174\) | −0.0784554 | + | 0.220860i | −0.00594769 | + | 0.0167433i | ||||
\(175\) | 26.6903i | 2.01760i | ||||||||
\(176\) | −1.02563 | − | 1.50496i | −0.0773096 | − | 0.113441i | ||||
\(177\) | 5.47627i | 0.411622i | ||||||||
\(178\) | −16.2171 | − | 5.76074i | −1.21552 | − | 0.431786i | ||||
\(179\) | 3.80659 | − | 9.18993i | 0.284518 | − | 0.686887i | −0.715412 | − | 0.698703i | \(-0.753761\pi\) |
0.999930 | + | 0.0118153i | \(0.00376101\pi\) | |||||||
\(180\) | 3.37430 | + | 6.24399i | 0.251506 | + | 0.465399i | ||||
\(181\) | −5.55971 | + | 2.30291i | −0.413250 | + | 0.171174i | −0.579615 | − | 0.814890i | \(-0.696797\pi\) |
0.166365 | + | 0.986064i | \(0.446797\pi\) | |||||||
\(182\) | 17.3051 | − | 19.1813i | 1.28274 | − | 1.42181i | ||||
\(183\) | −2.15222 | − | 2.15222i | −0.159097 | − | 0.159097i | ||||
\(184\) | 1.53731 | + | 2.52538i | 0.113332 | + | 0.186174i | ||||
\(185\) | −17.5458 | + | 17.5458i | −1.28999 | + | 1.28999i | ||||
\(186\) | −0.622715 | − | 12.1103i | −0.0456597 | − | 0.887969i | ||||
\(187\) | 0.828446 | + | 2.00005i | 0.0605820 | + | 0.146258i | ||||
\(188\) | −1.11057 | − | 0.902949i | −0.0809966 | − | 0.0658543i | ||||
\(189\) | 3.24741 | + | 1.34512i | 0.236214 | + | 0.0978431i | ||||
\(190\) | −2.26787 | − | 4.76676i | −0.164528 | − | 0.345817i | ||||
\(191\) | 5.75185 | 0.416190 | 0.208095 | − | 0.978109i | \(-0.433274\pi\) | ||||
0.208095 | + | 0.978109i | \(0.433274\pi\) | |||||||
\(192\) | 5.15955 | + | 6.11384i | 0.372358 | + | 0.441228i | ||||
\(193\) | −2.02898 | −0.146049 | −0.0730246 | − | 0.997330i | \(-0.523265\pi\) | ||||
−0.0730246 | + | 0.997330i | \(0.523265\pi\) | |||||||
\(194\) | 6.20439 | + | 13.0408i | 0.445449 | + | 0.936275i | ||||
\(195\) | 17.0388 | + | 7.05770i | 1.22017 | + | 0.505412i | ||||
\(196\) | 8.30996 | + | 6.75642i | 0.593569 | + | 0.482601i | ||||
\(197\) | 3.54890 | + | 8.56781i | 0.252849 | + | 0.610431i | 0.998432 | − | 0.0559816i | \(-0.0178288\pi\) |
−0.745583 | + | 0.666413i | \(0.767829\pi\) | |||||||
\(198\) | −0.0330657 | − | 0.643047i | −0.00234988 | − | 0.0456994i | ||||
\(199\) | 12.7457 | − | 12.7457i | 0.903520 | − | 0.903520i | −0.0922191 | − | 0.995739i | \(-0.529396\pi\) |
0.995739 | + | 0.0922191i | \(0.0293960\pi\) | |||||||
\(200\) | −18.3454 | + | 11.1676i | −1.29721 | + | 0.789672i | ||||
\(201\) | −4.12827 | − | 4.12827i | −0.291185 | − | 0.291185i | ||||
\(202\) | −4.75813 | + | 5.27398i | −0.334781 | + | 0.371076i | ||||
\(203\) | −0.538200 | + | 0.222930i | −0.0377742 | + | 0.0156466i | ||||
\(204\) | −4.52103 | − | 8.36595i | −0.316535 | − | 0.585734i | ||||
\(205\) | −2.67431 | + | 6.45635i | −0.186782 | + | 0.450931i | ||||
\(206\) | 5.64721 | + | 2.00604i | 0.393460 | + | 0.139768i | ||||
\(207\) | 1.04528i | 0.0726521i | ||||||||
\(208\) | 20.4248 | + | 3.86880i | 1.41621 | + | 0.268253i | ||||
\(209\) | 0.478902i | 0.0331264i | ||||||||
\(210\) | −5.90484 | + | 16.6227i | −0.407473 | + | 1.14708i | ||||
\(211\) | −8.49277 | + | 20.5034i | −0.584666 | + | 1.41151i | 0.303874 | + | 0.952712i | \(0.401720\pi\) |
−0.888541 | + | 0.458798i | \(0.848280\pi\) | |||||||
\(212\) | 6.46494 | − | 21.6685i | 0.444014 | − | 1.48820i | ||||
\(213\) | −10.7931 | + | 4.47065i | −0.739531 | + | 0.306324i | ||||
\(214\) | 0.477763 | + | 0.431033i | 0.0326592 | + | 0.0294648i | ||||
\(215\) | −7.73761 | − | 7.73761i | −0.527700 | − | 0.527700i | ||||
\(216\) | 0.434208 | + | 2.79490i | 0.0295441 | + | 0.190169i | ||||
\(217\) | 21.3118 | − | 21.3118i | 1.44674 | − | 1.44674i | ||||
\(218\) | 7.30669 | − | 0.375713i | 0.494872 | − | 0.0254465i | ||||
\(219\) | 2.36694 | + | 5.71430i | 0.159943 | + | 0.386137i | ||||
\(220\) | 3.21444 | − | 0.331451i | 0.216717 | − | 0.0223465i | ||||
\(221\) | −22.8293 | − | 9.45619i | −1.53566 | − | 0.636092i | ||||
\(222\) | −8.92946 | + | 4.24835i | −0.599306 | + | 0.285130i | ||||
\(223\) | 1.93870 | 0.129825 | 0.0649123 | − | 0.997891i | \(-0.479323\pi\) | ||||
0.0649123 | + | 0.997891i | \(0.479323\pi\) | |||||||
\(224\) | −2.69237 | + | 19.7005i | −0.179892 | + | 1.31630i | ||||
\(225\) | −7.59333 | −0.506222 | ||||||||
\(226\) | −8.47315 | + | 4.03125i | −0.563626 | + | 0.268155i | ||||
\(227\) | 19.8529 | + | 8.22334i | 1.31768 | + | 0.545802i | 0.927117 | − | 0.374773i | \(-0.122279\pi\) |
0.390566 | + | 0.920575i | \(0.372279\pi\) | |||||||
\(228\) | −0.215771 | − | 2.09257i | −0.0142898 | − | 0.138584i | ||||
\(229\) | 9.21270 | + | 22.2414i | 0.608792 | + | 1.46975i | 0.864315 | + | 0.502951i | \(0.167753\pi\) |
−0.255522 | + | 0.966803i | \(0.582247\pi\) | |||||||
\(230\) | −5.23896 | + | 0.269389i | −0.345447 | + | 0.0177630i | ||||
\(231\) | 1.13164 | − | 1.13164i | 0.0744564 | − | 0.0744564i | ||||
\(232\) | −0.378420 | − | 0.276650i | −0.0248445 | − | 0.0181630i | ||||
\(233\) | 7.56463 | + | 7.56463i | 0.495575 | + | 0.495575i | 0.910057 | − | 0.414482i | \(-0.136037\pi\) |
−0.414482 | + | 0.910057i | \(0.636037\pi\) | |||||||
\(234\) | 5.45703 | + | 4.92327i | 0.356737 | + | 0.321844i | ||||
\(235\) | 2.34635 | − | 0.971890i | 0.153059 | − | 0.0633991i | ||||
\(236\) | −10.4954 | − | 3.13137i | −0.683190 | − | 0.203835i | ||||
\(237\) | 3.62381 | − | 8.74866i | 0.235392 | − | 0.568287i | ||||
\(238\) | 7.91154 | − | 22.2718i | 0.512829 | − | 1.44366i | ||||
\(239\) | − | 21.0655i | − | 1.36261i | −0.731997 | − | 0.681307i | \(-0.761412\pi\) | ||
0.731997 | − | 0.681307i | \(-0.238588\pi\) | |||||||
\(240\) | −13.8962 | + | 2.89656i | −0.896993 | + | 0.186972i | ||||
\(241\) | − | 24.1957i | − | 1.55858i | −0.626664 | − | 0.779289i | \(-0.715580\pi\) | ||
0.626664 | − | 0.779289i | \(-0.284420\pi\) | |||||||
\(242\) | 14.3827 | + | 5.10912i | 0.924554 | + | 0.328427i | ||||
\(243\) | −0.382683 | + | 0.923880i | −0.0245492 | + | 0.0592669i | ||||
\(244\) | 5.35543 | − | 2.89412i | 0.342846 | − | 0.185277i | ||||
\(245\) | −17.5568 | + | 7.27228i | −1.12166 | + | 0.464609i | ||||
\(246\) | −1.86553 | + | 2.06778i | −0.118942 | + | 0.131837i | ||||
\(247\) | −3.86531 | − | 3.86531i | −0.245943 | − | 0.245943i | ||||
\(248\) | 23.5656 | + | 5.73129i | 1.49642 | + | 0.363938i | ||||
\(249\) | 5.26972 | − | 5.26972i | 0.333955 | − | 0.333955i | ||||
\(250\) | −0.668352 | − | 12.9978i | −0.0422703 | − | 0.822053i | ||||
\(251\) | 0.0707278 | + | 0.170752i | 0.00446430 | + | 0.0107778i | 0.926096 | − | 0.377288i | \(-0.123143\pi\) |
−0.921632 | + | 0.388066i | \(0.873143\pi\) | |||||||
\(252\) | −4.43484 | + | 5.45457i | −0.279368 | + | 0.343605i | ||||
\(253\) | 0.439693 | + | 0.182127i | 0.0276433 | + | 0.0114502i | ||||
\(254\) | 11.6436 | + | 24.4732i | 0.730583 | + | 1.53559i | ||||
\(255\) | 16.8731 | 1.05663 | ||||||||
\(256\) | −14.6675 | + | 6.39243i | −0.916721 | + | 0.399527i | ||||
\(257\) | −29.7460 | −1.85550 | −0.927751 | − | 0.373199i | \(-0.878261\pi\) | ||||
−0.927751 | + | 0.373199i | \(0.878261\pi\) | |||||||
\(258\) | −1.87350 | − | 3.93784i | −0.116639 | − | 0.245159i | ||||
\(259\) | −22.7068 | − | 9.40545i | −1.41093 | − | 0.584426i | ||||
\(260\) | −23.2691 | + | 28.6195i | −1.44309 | + | 1.77491i | ||||
\(261\) | −0.0634229 | − | 0.153117i | −0.00392578 | − | 0.00947768i | ||||
\(262\) | −1.30776 | − | 25.4328i | −0.0807939 | − | 1.57124i | ||||
\(263\) | 0.211270 | − | 0.211270i | 0.0130275 | − | 0.0130275i | −0.700563 | − | 0.713591i | \(-0.747068\pi\) |
0.713591 | + | 0.700563i | \(0.247068\pi\) | |||||||
\(264\) | 1.25132 | + | 0.304328i | 0.0770133 | + | 0.0187301i | ||||
\(265\) | 28.3707 | + | 28.3707i | 1.74280 | + | 1.74280i | ||||
\(266\) | 3.50242 | − | 3.88213i | 0.214747 | − | 0.238029i | ||||
\(267\) | 11.2429 | − | 4.65695i | 0.688053 | − | 0.285001i | ||||
\(268\) | 10.2725 | − | 5.55132i | 0.627490 | − | 0.339101i | ||||
\(269\) | 9.18492 | − | 22.1744i | 0.560014 | − | 1.35199i | −0.349740 | − | 0.936847i | \(-0.613730\pi\) |
0.909754 | − | 0.415148i | \(-0.136270\pi\) | |||||||
\(270\) | −4.72912 | − | 1.67991i | −0.287805 | − | 0.102236i | ||||
\(271\) | 15.5563i | 0.944979i | 0.881336 | + | 0.472489i | \(0.156644\pi\) | ||||
−0.881336 | + | 0.472489i | \(0.843356\pi\) | |||||||
\(272\) | 18.6186 | − | 3.88092i | 1.12892 | − | 0.235316i | ||||
\(273\) | 18.2673i | 1.10559i | ||||||||
\(274\) | −2.79556 | + | 7.86979i | −0.168886 | + | 0.475431i | ||||
\(275\) | −1.32304 | + | 3.19410i | −0.0797824 | + | 0.192612i | ||||
\(276\) | −2.00330 | − | 0.597699i | −0.120584 | − | 0.0359772i | ||||
\(277\) | 24.1714 | − | 10.0121i | 1.45232 | − | 0.601570i | 0.489570 | − | 0.871964i | \(-0.337154\pi\) |
0.962750 | + | 0.270394i | \(0.0871539\pi\) | |||||||
\(278\) | −19.5148 | − | 17.6061i | −1.17042 | − | 1.05594i | ||||
\(279\) | 6.06314 | + | 6.06314i | 0.362991 | + | 0.362991i | ||||
\(280\) | −28.4813 | − | 20.8217i | −1.70208 | − | 1.24433i | ||||
\(281\) | 18.5324 | − | 18.5324i | 1.10555 | − | 1.10555i | 0.111820 | − | 0.993729i | \(-0.464332\pi\) |
0.993729 | − | 0.111820i | \(-0.0356679\pi\) | |||||||
\(282\) | 1.01076 | − | 0.0519738i | 0.0601900 | − | 0.00309499i | ||||
\(283\) | −3.60189 | − | 8.69574i | −0.214110 | − | 0.516908i | 0.779937 | − | 0.625858i | \(-0.215251\pi\) |
−0.994047 | + | 0.108950i | \(0.965251\pi\) | |||||||
\(284\) | −2.39651 | − | 23.2415i | −0.142207 | − | 1.37913i | ||||
\(285\) | 3.44851 | + | 1.42842i | 0.204272 | + | 0.0846123i | ||||
\(286\) | 3.02177 | − | 1.43766i | 0.178681 | − | 0.0850106i | ||||
\(287\) | −6.92186 | −0.408584 | ||||||||
\(288\) | −5.60476 | − | 0.765974i | −0.330263 | − | 0.0451354i | ||||
\(289\) | −5.60720 | −0.329836 | ||||||||
\(290\) | 0.751076 | − | 0.357338i | 0.0441047 | − | 0.0209836i | ||||
\(291\) | −9.43437 | − | 3.90784i | −0.553052 | − | 0.229082i | ||||
\(292\) | −12.3050 | + | 1.26881i | −0.720095 | + | 0.0742514i | ||||
\(293\) | 8.32183 | + | 20.0907i | 0.486167 | + | 1.17371i | 0.956634 | + | 0.291293i | \(0.0940854\pi\) |
−0.470467 | + | 0.882417i | \(0.655915\pi\) | |||||||
\(294\) | −7.56314 | + | 0.388899i | −0.441091 | + | 0.0226811i | ||||
\(295\) | 13.7417 | − | 13.7417i | 0.800072 | − | 0.800072i | ||||
\(296\) | −3.03610 | − | 19.5427i | −0.176470 | − | 1.13590i | ||||
\(297\) | 0.321948 | + | 0.321948i | 0.0186813 | + | 0.0186813i | ||||
\(298\) | −8.70145 | − | 7.85035i | −0.504061 | − | 0.454759i | ||||
\(299\) | −5.01882 | + | 2.07886i | −0.290246 | + | 0.120224i | ||||
\(300\) | 4.34192 | − | 14.5527i | 0.250681 | − | 0.840203i | ||||
\(301\) | 4.14775 | − | 10.0136i | 0.239072 | − | 0.577172i | ||||
\(302\) | −5.58768 | + | 15.7299i | −0.321535 | + | 0.905152i | ||||
\(303\) | − | 5.02268i | − | 0.288545i | ||||||
\(304\) | 4.13382 | + | 0.783013i | 0.237091 | + | 0.0449089i | ||||
\(305\) | 10.8012i | 0.618476i | ||||||||
\(306\) | 6.33626 | + | 2.25081i | 0.362220 | + | 0.128670i | ||||
\(307\) | 11.7750 | − | 28.4274i | 0.672036 | − | 1.62244i | −0.106111 | − | 0.994354i | \(-0.533840\pi\) |
0.778146 | − | 0.628083i | \(-0.216160\pi\) | |||||||
\(308\) | 1.52173 | + | 2.81588i | 0.0867084 | + | 0.160450i | ||||
\(309\) | −3.91507 | + | 1.62168i | −0.222721 | + | 0.0922539i | ||||
\(310\) | −28.8259 | + | 31.9511i | −1.63720 | + | 1.81470i | ||||
\(311\) | −1.08506 | − | 1.08506i | −0.0615284 | − | 0.0615284i | 0.675673 | − | 0.737201i | \(-0.263853\pi\) |
−0.737201 | + | 0.675673i | \(0.763853\pi\) | |||||||
\(312\) | −12.5559 | + | 7.64333i | −0.710837 | + | 0.432718i | ||||
\(313\) | 3.44537 | − | 3.44537i | 0.194744 | − | 0.194744i | −0.602998 | − | 0.797742i | \(-0.706027\pi\) |
0.797742 | + | 0.602998i | \(0.206027\pi\) | |||||||
\(314\) | −0.0889910 | − | 1.73066i | −0.00502205 | − | 0.0976666i | ||||
\(315\) | −4.77344 | − | 11.5241i | −0.268953 | − | 0.649310i | ||||
\(316\) | 14.6948 | + | 11.9476i | 0.826649 | + | 0.672108i | ||||
\(317\) | 1.87234 | + | 0.775548i | 0.105161 | + | 0.0435591i | 0.434644 | − | 0.900603i | \(-0.356874\pi\) |
−0.329483 | + | 0.944162i | \(0.606874\pi\) | |||||||
\(318\) | 6.86937 | + | 14.4385i | 0.385215 | + | 0.809672i | ||||
\(319\) | −0.0754585 | −0.00422486 | ||||||||
\(320\) | 2.39461 | − | 28.2885i | 0.133863 | − | 1.58137i | ||||
\(321\) | −0.454998 | −0.0253955 | ||||||||
\(322\) | −2.23232 | − | 4.69204i | −0.124402 | − | 0.261477i | ||||
\(323\) | −4.62045 | − | 1.91385i | −0.257089 | − | 0.106490i | ||||
\(324\) | −1.55181 | − | 1.26170i | −0.0862117 | − | 0.0700944i | ||||
\(325\) | −15.1017 | − | 36.4587i | −0.837690 | − | 2.02236i | ||||
\(326\) | 0.984439 | + | 19.1449i | 0.0545230 | + | 1.06034i | ||||
\(327\) | −3.65817 | + | 3.65817i | −0.202297 | + | 0.202297i | ||||
\(328\) | −2.89621 | − | 4.75768i | −0.159917 | − | 0.262699i | ||||
\(329\) | 1.77875 | + | 1.77875i | 0.0980654 | + | 0.0980654i | ||||
\(330\) | −1.53064 | + | 1.69658i | −0.0842587 | + | 0.0933937i | ||||
\(331\) | −27.3713 | + | 11.3376i | −1.50446 | + | 0.623168i | −0.974406 | − | 0.224795i | \(-0.927829\pi\) |
−0.530055 | + | 0.847963i | \(0.677829\pi\) | |||||||
\(332\) | 7.08625 | + | 13.1128i | 0.388908 | + | 0.719656i | ||||
\(333\) | 2.67583 | − | 6.46002i | 0.146634 | − | 0.354007i | ||||
\(334\) | 12.4495 | + | 4.42238i | 0.681204 | + | 0.241982i | ||||
\(335\) | 20.7182i | 1.13196i | ||||||||
\(336\) | −7.91790 | − | 11.6184i | −0.431957 | − | 0.633835i | ||||
\(337\) | − | 8.28014i | − | 0.451048i | −0.974238 | − | 0.225524i | \(-0.927591\pi\) | ||
0.974238 | − | 0.225524i | \(-0.0724094\pi\) | |||||||
\(338\) | −6.63160 | + | 18.6686i | −0.360712 | + | 1.01544i | ||||
\(339\) | 2.53909 | − | 6.12990i | 0.137904 | − | 0.332930i | ||||
\(340\) | −9.64812 | + | 32.3375i | −0.523243 | + | 1.75375i | ||||
\(341\) | 3.60686 | − | 1.49401i | 0.195322 | − | 0.0809052i | ||||
\(342\) | 1.10446 | + | 0.996429i | 0.0597222 | + | 0.0538807i | ||||
\(343\) | 4.08855 | + | 4.08855i | 0.220761 | + | 0.220761i | ||||
\(344\) | 8.61822 | − | 1.33890i | 0.464663 | − | 0.0721889i | ||||
\(345\) | 2.62294 | − | 2.62294i | 0.141214 | − | 0.141214i | ||||
\(346\) | 26.3654 | − | 1.35572i | 1.41741 | − | 0.0728839i | ||||
\(347\) | 7.72315 | + | 18.6453i | 0.414601 | + | 1.00093i | 0.983886 | + | 0.178795i | \(0.0572198\pi\) |
−0.569286 | + | 0.822140i | \(0.692780\pi\) | |||||||
\(348\) | 0.329716 | − | 0.0339981i | 0.0176746 | − | 0.00182249i | ||||
\(349\) | −1.13179 | − | 0.468804i | −0.0605835 | − | 0.0250945i | 0.352186 | − | 0.935930i | \(-0.385438\pi\) |
−0.412769 | + | 0.910836i | \(0.635438\pi\) | |||||||
\(350\) | 34.0848 | − | 16.2164i | 1.82191 | − | 0.866805i | ||||
\(351\) | −5.19700 | −0.277396 | ||||||||
\(352\) | −1.29876 | + | 2.22416i | −0.0692242 | + | 0.118548i | ||||
\(353\) | −11.9551 | −0.636306 | −0.318153 | − | 0.948039i | \(-0.603063\pi\) | ||||
−0.318153 | + | 0.948039i | \(0.603063\pi\) | |||||||
\(354\) | 6.99345 | − | 3.32726i | 0.371698 | − | 0.176842i | ||||
\(355\) | 38.3016 | + | 15.8650i | 2.03284 | + | 0.842028i | ||||
\(356\) | 2.49638 | + | 24.2100i | 0.132308 | + | 1.28313i | ||||
\(357\) | 6.39565 | + | 15.4405i | 0.338494 | + | 0.817196i | ||||
\(358\) | −14.0488 | + | 0.722393i | −0.742501 | + | 0.0381797i | ||||
\(359\) | 5.02082 | − | 5.02082i | 0.264989 | − | 0.264989i | −0.562088 | − | 0.827077i | \(-0.690002\pi\) |
0.827077 | + | 0.562088i | \(0.190002\pi\) | |||||||
\(360\) | 5.92372 | − | 8.10285i | 0.312207 | − | 0.427058i | ||||
\(361\) | 12.6527 | + | 12.6527i | 0.665933 | + | 0.665933i | ||||
\(362\) | 6.31888 | + | 5.70082i | 0.332113 | + | 0.299629i | ||||
\(363\) | −9.97115 | + | 4.13019i | −0.523350 | + | 0.216779i | ||||
\(364\) | −35.0096 | − | 10.4454i | −1.83500 | − | 0.547486i | ||||
\(365\) | 8.39959 | − | 20.2784i | 0.439655 | − | 1.06142i | ||||
\(366\) | −1.44085 | + | 4.05614i | −0.0753144 | + | 0.212018i | ||||
\(367\) | 23.7760i | 1.24109i | 0.784169 | + | 0.620547i | \(0.213090\pi\) | ||||
−0.784169 | + | 0.620547i | \(0.786910\pi\) | |||||||
\(368\) | 2.29100 | − | 3.49759i | 0.119427 | − | 0.182324i | ||||
\(369\) | − | 1.96925i | − | 0.102515i | ||||||
\(370\) | 33.0673 | + | 11.7464i | 1.71909 | + | 0.610666i | ||||
\(371\) | −15.2082 | + | 36.7157i | −0.789568 | + | 1.90619i | ||||
\(372\) | −15.0871 | + | 8.15317i | −0.782228 | + | 0.422722i | ||||
\(373\) | 3.85917 | − | 1.59852i | 0.199820 | − | 0.0827683i | −0.280529 | − | 0.959846i | \(-0.590510\pi\) |
0.480349 | + | 0.877077i | \(0.340510\pi\) | |||||||
\(374\) | 2.05081 | − | 2.27315i | 0.106045 | − | 0.117542i | ||||
\(375\) | 6.50749 | + | 6.50749i | 0.336045 | + | 0.336045i | ||||
\(376\) | −0.478352 | + | 1.96686i | −0.0246691 | + | 0.101433i | ||||
\(377\) | 0.609039 | − | 0.609039i | 0.0313671 | − | 0.0313671i | ||||
\(378\) | −0.255269 | − | 4.96436i | −0.0131296 | − | 0.255339i | ||||
\(379\) | −3.43755 | − | 8.29899i | −0.176575 | − | 0.426290i | 0.810669 | − | 0.585505i | \(-0.199104\pi\) |
−0.987244 | + | 0.159215i | \(0.949104\pi\) | |||||||
\(380\) | −4.70947 | + | 5.79235i | −0.241591 | + | 0.297141i | ||||
\(381\) | −17.7052 | − | 7.33372i | −0.907063 | − | 0.375718i | ||||
\(382\) | −3.49470 | − | 7.34539i | −0.178804 | − | 0.375823i | ||||
\(383\) | −9.61765 | −0.491439 | −0.245720 | − | 0.969341i | \(-0.579024\pi\) | ||||
−0.245720 | + | 0.969341i | \(0.579024\pi\) | |||||||
\(384\) | 4.67284 | − | 10.3036i | 0.238460 | − | 0.525804i | ||||
\(385\) | −5.67928 | −0.289443 | ||||||||
\(386\) | 1.23276 | + | 2.59110i | 0.0627460 | + | 0.131884i | ||||
\(387\) | 2.84883 | + | 1.18002i | 0.144814 | + | 0.0599840i | ||||
\(388\) | 12.8841 | − | 15.8466i | 0.654090 | − | 0.804489i | ||||
\(389\) | −11.3406 | − | 27.3786i | −0.574991 | − | 1.38815i | −0.897260 | − | 0.441503i | \(-0.854445\pi\) |
0.322269 | − | 0.946648i | \(-0.395555\pi\) | |||||||
\(390\) | −1.33937 | − | 26.0474i | −0.0678216 | − | 1.31896i | ||||
\(391\) | −3.51432 | + | 3.51432i | −0.177727 | + | 0.177727i | ||||
\(392\) | 3.57932 | − | 14.7173i | 0.180783 | − | 0.743334i | ||||
\(393\) | 12.7332 | + | 12.7332i | 0.642305 | + | 0.642305i | ||||
\(394\) | 8.78527 | − | 9.73773i | 0.442595 | − | 0.490580i | ||||
\(395\) | −31.0465 | + | 12.8599i | −1.56212 | + | 0.647050i | ||||
\(396\) | −0.801112 | + | 0.432927i | −0.0402574 | + | 0.0217554i | ||||
\(397\) | 0.283457 | − | 0.684326i | 0.0142263 | − | 0.0343453i | −0.916607 | − | 0.399790i | \(-0.869083\pi\) |
0.930833 | + | 0.365445i | \(0.119083\pi\) | |||||||
\(398\) | −24.0209 | − | 8.53287i | −1.20406 | − | 0.427714i | ||||
\(399\) | 3.69715i | 0.185089i | ||||||||
\(400\) | 25.4079 | + | 16.6427i | 1.27039 | + | 0.832135i | ||||
\(401\) | 4.48635i | 0.224038i | 0.993706 | + | 0.112019i | \(0.0357317\pi\) | ||||
−0.993706 | + | 0.112019i | \(0.964268\pi\) | |||||||
\(402\) | −2.76375 | + | 7.78023i | −0.137843 | + | 0.388043i | ||||
\(403\) | −17.0532 | + | 41.1700i | −0.849480 | + | 2.05083i | ||||
\(404\) | 9.62605 | + | 2.87200i | 0.478914 | + | 0.142887i | ||||
\(405\) | 3.27858 | − | 1.35803i | 0.162914 | − | 0.0674811i | ||||
\(406\) | 0.611690 | + | 0.551860i | 0.0303577 | + | 0.0273883i | ||||
\(407\) | −2.25115 | − | 2.25115i | −0.111585 | − | 0.111585i | ||||
\(408\) | −7.93684 | + | 10.8565i | −0.392932 | + | 0.537478i | ||||
\(409\) | −15.2251 | + | 15.2251i | −0.752833 | + | 0.752833i | −0.975007 | − | 0.222174i | \(-0.928685\pi\) |
0.222174 | + | 0.975007i | \(0.428685\pi\) | |||||||
\(410\) | 9.86991 | − | 0.507514i | 0.487440 | − | 0.0250643i | ||||
\(411\) | −2.25992 | − | 5.45593i | −0.111474 | − | 0.269121i | ||||
\(412\) | −0.869306 | − | 8.43059i | −0.0428276 | − | 0.415345i | ||||
\(413\) | 17.7837 | + | 7.36624i | 0.875078 | + | 0.362469i | ||||
\(414\) | 1.33487 | − | 0.635089i | 0.0656055 | − | 0.0312129i | ||||
\(415\) | −26.4468 | −1.29822 | ||||||||
\(416\) | −7.46903 | − | 28.4341i | −0.366199 | − | 1.39410i | ||||
\(417\) | 18.5850 | 0.910111 | ||||||||
\(418\) | 0.611581 | − | 0.290970i | 0.0299134 | − | 0.0142318i | ||||
\(419\) | −13.2128 | − | 5.47292i | −0.645487 | − | 0.267369i | 0.0358301 | − | 0.999358i | \(-0.488592\pi\) |
−0.681317 | + | 0.731988i | \(0.738592\pi\) | |||||||
\(420\) | 24.8156 | − | 2.55882i | 1.21088 | − | 0.124858i | ||||
\(421\) | 5.77775 | + | 13.9487i | 0.281590 | + | 0.679819i | 0.999873 | − | 0.0159320i | \(-0.00507152\pi\) |
−0.718283 | + | 0.695751i | \(0.755072\pi\) | |||||||
\(422\) | 31.3438 | − | 1.61171i | 1.52579 | − | 0.0784567i | ||||
\(423\) | −0.506049 | + | 0.506049i | −0.0246049 | + | 0.0246049i | ||||
\(424\) | −31.5996 | + | 4.90923i | −1.53461 | + | 0.238413i | ||||
\(425\) | −25.5294 | − | 25.5294i | −1.23836 | − | 1.23836i | ||||
\(426\) | 12.2669 | + | 11.0670i | 0.594332 | + | 0.536200i | ||||
\(427\) | −9.88415 | + | 4.09415i | −0.478328 | + | 0.198130i | ||||
\(428\) | 0.260171 | − | 0.872012i | 0.0125758 | − | 0.0421503i | ||||
\(429\) | −0.905512 | + | 2.18610i | −0.0437185 | + | 0.105546i | ||||
\(430\) | −5.18010 | + | 14.5825i | −0.249806 | + | 0.703230i | ||||
\(431\) | − | 30.9700i | − | 1.49177i | −0.666073 | − | 0.745886i | \(-0.732026\pi\) | ||
0.666073 | − | 0.745886i | \(-0.267974\pi\) | |||||||
\(432\) | 3.30540 | − | 2.25262i | 0.159031 | − | 0.108379i | ||||
\(433\) | 38.8143i | 1.86529i | 0.360790 | + | 0.932647i | \(0.382507\pi\) | ||||
−0.360790 | + | 0.932647i | \(0.617493\pi\) | |||||||
\(434\) | −40.1647 | − | 14.2676i | −1.92797 | − | 0.684866i | ||||
\(435\) | −0.225070 | + | 0.543366i | −0.0107913 | + | 0.0260524i | ||||
\(436\) | −4.91918 | − | 9.10272i | −0.235586 | − | 0.435941i | ||||
\(437\) | −1.01577 | + | 0.420745i | −0.0485907 | + | 0.0201269i | ||||
\(438\) | 5.85934 | − | 6.49458i | 0.279970 | − | 0.310323i | ||||
\(439\) | −4.15330 | − | 4.15330i | −0.198226 | − | 0.198226i | 0.601013 | − | 0.799239i | \(-0.294764\pi\) |
−0.799239 | + | 0.601013i | \(0.794764\pi\) | |||||||
\(440\) | −2.37630 | − | 3.90361i | −0.113286 | − | 0.186097i | ||||
\(441\) | 3.78657 | − | 3.78657i | 0.180313 | − | 0.180313i | ||||
\(442\) | 1.79454 | + | 34.8994i | 0.0853576 | + | 1.66000i | ||||
\(443\) | −2.26978 | − | 5.47973i | −0.107840 | − | 0.260350i | 0.860742 | − | 0.509041i | \(-0.170000\pi\) |
−0.968583 | + | 0.248691i | \(0.920000\pi\) | |||||||
\(444\) | 10.8507 | + | 8.82215i | 0.514950 | + | 0.418681i | ||||
\(445\) | −39.8977 | − | 16.5262i | −1.89133 | − | 0.783415i | ||||
\(446\) | −1.17791 | − | 2.47581i | −0.0557755 | − | 0.117233i | ||||
\(447\) | 8.28683 | 0.391954 | ||||||||
\(448\) | 26.7944 | − | 8.53132i | 1.26591 | − | 0.403067i | ||||
\(449\) | 7.31556 | 0.345243 | 0.172621 | − | 0.984988i | \(-0.444776\pi\) | ||||
0.172621 | + | 0.984988i | \(0.444776\pi\) | |||||||
\(450\) | 4.61354 | + | 9.69704i | 0.217484 | + | 0.457123i | ||||
\(451\) | −0.828358 | − | 0.343117i | −0.0390058 | − | 0.0161567i | ||||
\(452\) | 10.2962 | + | 8.37132i | 0.484292 | + | 0.393754i | ||||
\(453\) | −4.51705 | − | 10.9051i | −0.212230 | − | 0.512367i | ||||
\(454\) | −1.56058 | − | 30.3494i | −0.0732415 | − | 1.42437i | ||||
\(455\) | 45.8385 | − | 45.8385i | 2.14894 | − | 2.14894i | ||||
\(456\) | −2.54121 | + | 1.54695i | −0.119003 | + | 0.0724424i | ||||
\(457\) | 1.80714 | + | 1.80714i | 0.0845343 | + | 0.0845343i | 0.748110 | − | 0.663575i | \(-0.230962\pi\) |
−0.663575 | + | 0.748110i | \(0.730962\pi\) | |||||||
\(458\) | 22.8059 | − | 25.2784i | 1.06565 | − | 1.18118i | ||||
\(459\) | −4.39277 | + | 1.81955i | −0.205037 | + | 0.0849291i | ||||
\(460\) | 3.52710 | + | 6.52672i | 0.164452 | + | 0.304310i | ||||
\(461\) | 5.44672 | − | 13.1495i | 0.253679 | − | 0.612436i | −0.744816 | − | 0.667269i | \(-0.767463\pi\) |
0.998495 | + | 0.0548340i | \(0.0174629\pi\) | |||||||
\(462\) | −2.13271 | − | 0.757598i | −0.0992229 | − | 0.0352467i | ||||
\(463\) | − | 28.6674i | − | 1.33229i | −0.745824 | − | 0.666143i | \(-0.767944\pi\) | ||
0.745824 | − | 0.666143i | \(-0.232056\pi\) | |||||||
\(464\) | −0.123376 | + | 0.651347i | −0.00572758 | + | 0.0302380i | ||||
\(465\) | − | 30.4287i | − | 1.41110i | ||||||
\(466\) | 5.06429 | − | 14.2565i | 0.234599 | − | 0.660419i | ||||
\(467\) | −0.0184119 | + | 0.0444502i | −0.000852000 | + | 0.00205691i | −0.924305 | − | 0.381655i | \(-0.875354\pi\) |
0.923453 | + | 0.383712i | \(0.125354\pi\) | |||||||
\(468\) | 2.97168 | − | 9.96015i | 0.137366 | − | 0.460408i | ||||
\(469\) | −18.9592 | + | 7.85315i | −0.875454 | + | 0.362625i | ||||
\(470\) | −2.66674 | − | 2.40590i | −0.123008 | − | 0.110976i | ||||
\(471\) | 0.866471 | + | 0.866471i | 0.0399249 | + | 0.0399249i | ||||
\(472\) | 2.37784 | + | 15.3056i | 0.109449 | + | 0.704498i | ||||
\(473\) | 0.992745 | − | 0.992745i | 0.0456465 | − | 0.0456465i | ||||
\(474\) | −13.3742 | + | 0.687706i | −0.614298 | + | 0.0315874i | ||||
\(475\) | −3.05645 | − | 7.37893i | −0.140240 | − | 0.338569i | ||||
\(476\) | −33.2490 | + | 3.42841i | −1.52396 | + | 0.157141i | ||||
\(477\) | −10.4455 | − | 4.32668i | −0.478268 | − | 0.198105i | ||||
\(478\) | −26.9017 | + | 12.7989i | −1.23045 | + | 0.585409i | ||||
\(479\) | 8.64155 | 0.394843 | 0.197421 | − | 0.980319i | \(-0.436743\pi\) | ||||
0.197421 | + | 0.980319i | \(0.436743\pi\) | |||||||
\(480\) | 12.1420 | + | 15.9862i | 0.554205 | + | 0.729666i | ||||
\(481\) | 36.3389 | 1.65691 | ||||||||
\(482\) | −30.8990 | + | 14.7007i | −1.40741 | + | 0.669600i | ||||
\(483\) | 3.39446 | + | 1.40603i | 0.154453 | + | 0.0639766i | ||||
\(484\) | −2.21400 | − | 21.4716i | −0.100637 | − | 0.975980i | ||||
\(485\) | 13.8678 | + | 33.4798i | 0.629704 | + | 1.52024i | ||||
\(486\) | 1.41235 | − | 0.0726234i | 0.0640654 | − | 0.00329427i | ||||
\(487\) | 2.15820 | − | 2.15820i | 0.0977973 | − | 0.0977973i | −0.656515 | − | 0.754313i | \(-0.727970\pi\) |
0.754313 | + | 0.656515i | \(0.227970\pi\) | |||||||
\(488\) | −6.94977 | − | 5.08074i | −0.314601 | − | 0.229994i | ||||
\(489\) | −9.58511 | − | 9.58511i | −0.433454 | − | 0.433454i | ||||
\(490\) | 19.9542 | + | 18.0024i | 0.901438 | + | 0.813267i | ||||
\(491\) | 24.4583 | − | 10.1310i | 1.10379 | − | 0.457204i | 0.244994 | − | 0.969525i | \(-0.421214\pi\) |
0.858794 | + | 0.512321i | \(0.171214\pi\) | |||||||
\(492\) | 3.77410 | + | 1.12603i | 0.170150 | + | 0.0507654i | ||||
\(493\) | 0.301557 | − | 0.728024i | 0.0135815 | − | 0.0327885i | ||||
\(494\) | −2.58771 | + | 7.28465i | −0.116426 | + | 0.327752i | ||||
\(495\) | − | 1.61574i | − | 0.0726221i | ||||||
\(496\) | −6.99881 | − | 33.5766i | −0.314256 | − | 1.50764i | ||||
\(497\) | 41.0632i | 1.84193i | ||||||||
\(498\) | −9.93144 | − | 3.52792i | −0.445038 | − | 0.158090i | ||||
\(499\) | 4.98970 | − | 12.0462i | 0.223370 | − | 0.539263i | −0.771974 | − | 0.635655i | \(-0.780730\pi\) |
0.995343 | + | 0.0963921i | \(0.0307303\pi\) | |||||||
\(500\) | −16.1927 | + | 8.75068i | −0.724161 | + | 0.391343i | ||||
\(501\) | −8.63089 | + | 3.57503i | −0.385600 | + | 0.159721i | ||||
\(502\) | 0.175086 | − | 0.194068i | 0.00781446 | − | 0.00866167i | ||||
\(503\) | −7.59295 | − | 7.59295i | −0.338553 | − | 0.338553i | 0.517270 | − | 0.855823i | \(-0.326948\pi\) |
−0.855823 | + | 0.517270i | \(0.826948\pi\) | |||||||
\(504\) | 9.66024 | + | 2.34942i | 0.430301 | + | 0.104652i | ||||
\(505\) | −12.6035 | + | 12.6035i | −0.560848 | + | 0.560848i | ||||
\(506\) | −0.0345630 | − | 0.672165i | −0.00153651 | − | 0.0298814i | ||||
\(507\) | −5.36096 | − | 12.9425i | −0.238088 | − | 0.574796i | ||||
\(508\) | 24.1791 | − | 29.7388i | 1.07278 | − | 1.31945i | ||||
\(509\) | 12.9910 | + | 5.38103i | 0.575814 | + | 0.238510i | 0.651534 | − | 0.758619i | \(-0.274126\pi\) |
−0.0757202 | + | 0.997129i | \(0.524126\pi\) | |||||||
\(510\) | −10.2517 | − | 21.5477i | −0.453952 | − | 0.954148i | ||||
\(511\) | 21.7405 | 0.961743 | ||||||||
\(512\) | 17.0751 | + | 14.8472i | 0.754620 | + | 0.656162i | ||||
\(513\) | −1.05183 | −0.0464395 | ||||||||
\(514\) | 18.0730 | + | 37.9870i | 0.797165 | + | 1.67553i | ||||
\(515\) | 13.8934 | + | 5.75485i | 0.612218 | + | 0.253589i | ||||
\(516\) | −3.89052 | + | 4.78509i | −0.171270 | + | 0.210652i | ||||
\(517\) | 0.124695 | + | 0.301040i | 0.00548407 | + | 0.0132397i | ||||
\(518\) | 1.78491 | + | 34.7122i | 0.0784245 | + | 1.52516i | ||||
\(519\) | −13.2001 | + | 13.2001i | −0.579421 | + | 0.579421i | ||||
\(520\) | 50.6862 | + | 12.3272i | 2.22274 | + | 0.540582i | ||||
\(521\) | 17.0333 | + | 17.0333i | 0.746242 | + | 0.746242i | 0.973771 | − | 0.227529i | \(-0.0730647\pi\) |
−0.227529 | + | 0.973771i | \(0.573065\pi\) | |||||||
\(522\) | −0.157003 | + | 0.174024i | −0.00687182 | + | 0.00761683i | ||||
\(523\) | 38.4247 | − | 15.9160i | 1.68020 | − | 0.695960i | 0.680860 | − | 0.732414i | \(-0.261606\pi\) |
0.999335 | + | 0.0364542i | \(0.0116063\pi\) | |||||||
\(524\) | −31.6843 | + | 17.1225i | −1.38414 | + | 0.747998i | ||||
\(525\) | −10.2139 | + | 24.6586i | −0.445773 | + | 1.07619i | ||||
\(526\) | −0.398165 | − | 0.141439i | −0.0173608 | − | 0.00616703i | ||||
\(527\) | 40.7696i | 1.77595i | ||||||||
\(528\) | −0.371632 | − | 1.78289i | −0.0161732 | − | 0.0775905i | ||||
\(529\) | − | 21.9074i | − | 0.952495i | ||||||
\(530\) | 18.9934 | − | 53.4682i | 0.825019 | − | 2.32251i | ||||
\(531\) | −2.09568 | + | 5.05941i | −0.0909447 | + | 0.219560i | ||||
\(532\) | −7.08566 | − | 2.11406i | −0.307202 | − | 0.0916559i | ||||
\(533\) | 9.45518 | − | 3.91646i | 0.409549 | − | 0.169641i | ||||
\(534\) | −12.7781 | − | 11.5282i | −0.552961 | − | 0.498875i | ||||
\(535\) | 1.14173 | + | 1.14173i | 0.0493615 | + | 0.0493615i | ||||
\(536\) | −13.3306 | − | 9.74556i | −0.575795 | − | 0.420944i | ||||
\(537\) | 7.03367 | − | 7.03367i | 0.303525 | − | 0.303525i | ||||
\(538\) | −33.8983 | + | 1.74306i | −1.46146 | + | 0.0751487i | ||||
\(539\) | −0.933042 | − | 2.25256i | −0.0401890 | − | 0.0970248i | ||||
\(540\) | 0.727979 | + | 7.05998i | 0.0313272 | + | 0.303813i | ||||
\(541\) | −8.78427 | − | 3.63857i | −0.377665 | − | 0.156434i | 0.185772 | − | 0.982593i | \(-0.440521\pi\) |
−0.563437 | + | 0.826159i | \(0.690521\pi\) | |||||||
\(542\) | 19.8661 | − | 9.45166i | 0.853324 | − | 0.405984i | ||||
\(543\) | −6.01779 | −0.258248 | ||||||||
\(544\) | −16.2684 | − | 21.4189i | −0.697501 | − | 0.918329i | ||||
\(545\) | 18.3590 | 0.786414 | ||||||||
\(546\) | 23.3282 | − | 11.0988i | 0.998356 | − | 0.474985i | ||||
\(547\) | 3.07217 | + | 1.27253i | 0.131357 | + | 0.0544097i | 0.447393 | − | 0.894337i | \(-0.352352\pi\) |
−0.316037 | + | 0.948747i | \(0.602352\pi\) | |||||||
\(548\) | 11.7486 | − | 1.21144i | 0.501876 | − | 0.0517501i | ||||
\(549\) | −1.16478 | − | 2.81202i | −0.0497114 | − | 0.120014i | ||||
\(550\) | 4.88287 | − | 0.251079i | 0.208206 | − | 0.0107060i | ||||
\(551\) | 0.123264 | − | 0.123264i | 0.00525124 | − | 0.00525124i | ||||
\(552\) | 0.453870 | + | 2.92146i | 0.0193180 | + | 0.124345i | ||||
\(553\) | −23.5360 | − | 23.5360i | −1.00085 | − | 1.00085i | ||||
\(554\) | −27.4720 | − | 24.7849i | −1.16717 | − | 1.05301i | ||||
\(555\) | −22.9247 | + | 9.49573i | −0.973100 | + | 0.403071i | ||||
\(556\) | −10.6270 | + | 35.6184i | −0.450686 | + | 1.51056i | ||||
\(557\) | 0.215669 | − | 0.520670i | 0.00913817 | − | 0.0220615i | −0.919245 | − | 0.393687i | \(-0.871199\pi\) |
0.928383 | + | 0.371625i | \(0.121199\pi\) | |||||||
\(558\) | 4.05909 | − | 11.4267i | 0.171835 | − | 0.483733i | ||||
\(559\) | 16.0252i | 0.677795i | ||||||||
\(560\) | −9.28571 | + | 49.0227i | −0.392393 | + | 2.07159i | ||||
\(561\) | 2.16483i | 0.0913994i | ||||||||
\(562\) | −34.9265 | − | 12.4069i | −1.47329 | − | 0.523352i | ||||
\(563\) | 11.9538 | − | 28.8591i | 0.503793 | − | 1.21626i | −0.443610 | − | 0.896220i | \(-0.646302\pi\) |
0.947403 | − | 0.320044i | \(-0.103698\pi\) | |||||||
\(564\) | −0.680489 | − | 1.25921i | −0.0286538 | − | 0.0530224i | ||||
\(565\) | −21.7532 | + | 9.01048i | −0.915165 | + | 0.379074i | ||||
\(566\) | −8.91644 | + | 9.88312i | −0.374786 | + | 0.415419i | ||||
\(567\) | 2.48546 | + | 2.48546i | 0.104379 | + | 0.104379i | ||||
\(568\) | −28.2244 | + | 17.1815i | −1.18427 | + | 0.720918i | ||||
\(569\) | −22.2286 | + | 22.2286i | −0.931873 | + | 0.931873i | −0.997823 | − | 0.0659498i | \(-0.978992\pi\) |
0.0659498 | + | 0.997823i | \(0.478992\pi\) | |||||||
\(570\) | −0.271077 | − | 5.27178i | −0.0113542 | − | 0.220811i | ||||
\(571\) | −2.84886 | − | 6.87776i | −0.119221 | − | 0.287825i | 0.852991 | − | 0.521925i | \(-0.174786\pi\) |
−0.972213 | + | 0.234099i | \(0.924786\pi\) | |||||||
\(572\) | −3.67192 | − | 2.98545i | −0.153531 | − | 0.124828i | ||||
\(573\) | 5.31402 | + | 2.20114i | 0.221996 | + | 0.0919539i | ||||
\(574\) | 4.20557 | + | 8.83954i | 0.175537 | + | 0.368955i | ||||
\(575\) | −7.93717 | −0.331003 | ||||||||
\(576\) | 2.42714 | + | 7.62293i | 0.101131 | + | 0.317622i | ||||
\(577\) | −31.1728 | −1.29774 | −0.648871 | − | 0.760899i | \(-0.724758\pi\) | ||||
−0.648871 | + | 0.760899i | \(0.724758\pi\) | |||||||
\(578\) | 3.40681 | + | 7.16066i | 0.141705 | + | 0.297844i | ||||
\(579\) | −1.87453 | − | 0.776457i | −0.0779029 | − | 0.0322685i | ||||
\(580\) | −0.912674 | − | 0.742050i | −0.0378967 | − | 0.0308119i | ||||
\(581\) | −10.0245 | − | 24.2013i | −0.415887 | − | 1.00404i | ||||
\(582\) | 0.741607 | + | 14.4224i | 0.0307406 | + | 0.597830i | ||||
\(583\) | −3.64000 | + | 3.64000i | −0.150754 | + | 0.150754i | ||||
\(584\) | 9.09657 | + | 14.9432i | 0.376419 | + | 0.618352i | ||||
\(585\) | 13.0409 | + | 13.0409i | 0.539176 | + | 0.539176i | ||||
\(586\) | 20.6006 | − | 22.8340i | 0.851003 | − | 0.943265i | ||||
\(587\) | −13.5567 | + | 5.61536i | −0.559544 | + | 0.231771i | −0.644487 | − | 0.764615i | \(-0.722929\pi\) |
0.0849433 | + | 0.996386i | \(0.472929\pi\) | |||||||
\(588\) | 5.09183 | + | 9.42220i | 0.209984 | + | 0.388565i | ||||
\(589\) | −3.45142 | + | 8.33247i | −0.142213 | + | 0.343334i | ||||
\(590\) | −25.8979 | − | 9.19965i | −1.06620 | − | 0.378744i | ||||
\(591\) | 9.27373i | 0.381470i | ||||||||
\(592\) | −23.1123 | + | 15.7509i | −0.949909 | + | 0.647360i | ||||
\(593\) | − | 20.0872i | − | 0.824883i | −0.910984 | − | 0.412442i | \(-0.864676\pi\) | ||
0.910984 | − | 0.412442i | \(-0.135324\pi\) | |||||||
\(594\) | 0.215535 | − | 0.606752i | 0.00884350 | − | 0.0248953i | ||||
\(595\) | 22.6963 | − | 54.7937i | 0.930457 | − | 2.24632i | ||||
\(596\) | −4.73847 | + | 15.8819i | −0.194095 | + | 0.650546i | ||||
\(597\) | 16.6531 | − | 6.89793i | 0.681565 | − | 0.282313i | ||||
\(598\) | 5.70413 | + | 5.14620i | 0.233259 | + | 0.210444i | ||||
\(599\) | 22.9392 | + | 22.9392i | 0.937271 | + | 0.937271i | 0.998145 | − | 0.0608749i | \(-0.0193891\pi\) |
−0.0608749 | + | 0.998145i | \(0.519389\pi\) | |||||||
\(600\) | −21.2226 | + | 3.29709i | −0.866409 | + | 0.134603i | ||||
\(601\) | 19.0481 | − | 19.0481i | 0.776990 | − | 0.776990i | −0.202328 | − | 0.979318i | \(-0.564851\pi\) |
0.979318 | + | 0.202328i | \(0.0648507\pi\) | |||||||
\(602\) | −15.3079 | + | 0.787136i | −0.623902 | + | 0.0320813i | ||||
\(603\) | −2.23420 | − | 5.39384i | −0.0909837 | − | 0.219654i | ||||
\(604\) | 23.4827 | − | 2.42138i | 0.955499 | − | 0.0985247i | ||||
\(605\) | 35.3847 | + | 14.6568i | 1.43859 | + | 0.595885i | ||||
\(606\) | −6.41420 | + | 3.05167i | −0.260559 | + | 0.123965i | ||||
\(607\) | 39.8682 | 1.61820 | 0.809100 | − | 0.587672i | \(-0.199955\pi\) | ||||
0.809100 | + | 0.587672i | \(0.199955\pi\) | |||||||
\(608\) | −1.51167 | − | 5.75482i | −0.0613063 | − | 0.233389i | ||||
\(609\) | −0.582543 | −0.0236059 | ||||||||
\(610\) | 13.7937 | − | 6.56258i | 0.558489 | − | 0.265711i | ||||
\(611\) | −3.43618 | − | 1.42331i | −0.139013 | − | 0.0575810i | ||||
\(612\) | −0.975375 | − | 9.45925i | −0.0394272 | − | 0.382368i | ||||
\(613\) | 7.28252 | + | 17.5816i | 0.294138 | + | 0.710113i | 0.999998 | + | 0.00176143i | \(0.000560680\pi\) |
−0.705860 | + | 0.708351i | \(0.749439\pi\) | |||||||
\(614\) | −43.4574 | + | 2.23459i | −1.75380 | + | 0.0901809i | ||||
\(615\) | −4.94147 | + | 4.94147i | −0.199259 | + | 0.199259i | ||||
\(616\) | 2.67145 | − | 3.65418i | 0.107636 | − | 0.147231i | ||||
\(617\) | −17.7361 | − | 17.7361i | −0.714027 | − | 0.714027i | 0.253348 | − | 0.967375i | \(-0.418468\pi\) |
−0.967375 | + | 0.253348i | \(0.918468\pi\) | |||||||
\(618\) | 4.44967 | + | 4.01444i | 0.178992 | + | 0.161484i | ||||
\(619\) | 7.84831 | − | 3.25088i | 0.315450 | − | 0.130664i | −0.219340 | − | 0.975648i | \(-0.570391\pi\) |
0.534790 | + | 0.844985i | \(0.320391\pi\) | |||||||
\(620\) | 58.3171 | + | 17.3993i | 2.34207 | + | 0.698773i | ||||
\(621\) | −0.400012 | + | 0.965714i | −0.0160519 | + | 0.0387528i | ||||
\(622\) | −0.726418 | + | 2.04494i | −0.0291267 | + | 0.0819946i | ||||
\(623\) | − | 42.7744i | − | 1.71372i | ||||||
\(624\) | 17.3896 | + | 11.3906i | 0.696140 | + | 0.455987i | ||||
\(625\) | 5.30798i | 0.212319i | ||||||||
\(626\) | −6.49324 | − | 2.30657i | −0.259522 | − | 0.0921893i | ||||
\(627\) | −0.183268 | + | 0.442448i | −0.00731902 | + | 0.0176697i | ||||
\(628\) | −2.15606 | + | 1.16515i | −0.0860362 | + | 0.0464947i | ||||
\(629\) | 30.7155 | − | 12.7228i | 1.22471 | − | 0.507290i | ||||
\(630\) | −11.8166 | + | 13.0977i | −0.470784 | + | 0.521825i | ||||
\(631\) | 29.7910 | + | 29.7910i | 1.18596 | + | 1.18596i | 0.978174 | + | 0.207785i | \(0.0666256\pi\) |
0.207785 | + | 0.978174i | \(0.433374\pi\) | |||||||
\(632\) | 6.32946 | − | 26.0251i | 0.251772 | − | 1.03522i | ||||
\(633\) | −15.6926 | + | 15.6926i | −0.623725 | + | 0.623725i | ||||
\(634\) | −0.147179 | − | 2.86227i | −0.00584522 | − | 0.113675i | ||||
\(635\) | 26.0252 | + | 62.8305i | 1.03278 | + | 2.49335i | ||||
\(636\) | 14.2650 | − | 17.5450i | 0.565644 | − | 0.695705i | ||||
\(637\) | 25.7116 | + | 10.6501i | 1.01873 | + | 0.421972i | ||||
\(638\) | 0.0458469 | + | 0.0963640i | 0.00181509 | + | 0.00381509i | ||||
\(639\) | −11.6824 | −0.462147 | ||||||||
\(640\) | −37.5807 | + | 14.1294i | −1.48551 | + | 0.558514i | ||||
\(641\) | −25.6481 | −1.01304 | −0.506520 | − | 0.862228i | \(-0.669068\pi\) | ||||
−0.506520 | + | 0.862228i | \(0.669068\pi\) | |||||||
\(642\) | 0.276447 | + | 0.581054i | 0.0109105 | + | 0.0229324i | ||||
\(643\) | −24.6616 | − | 10.2152i | −0.972559 | − | 0.402847i | −0.160895 | − | 0.986972i | \(-0.551438\pi\) |
−0.811664 | + | 0.584125i | \(0.801438\pi\) | |||||||
\(644\) | −4.63565 | + | 5.70155i | −0.182670 | + | 0.224673i | ||||
\(645\) | −4.18756 | − | 10.1097i | −0.164885 | − | 0.398068i | ||||
\(646\) | 0.363200 | + | 7.06335i | 0.0142899 | + | 0.277904i | ||||
\(647\) | −33.8051 | + | 33.8051i | −1.32902 | + | 1.32902i | −0.422786 | + | 0.906230i | \(0.638948\pi\) |
−0.906230 | + | 0.422786i | \(0.861052\pi\) | |||||||
\(648\) | −0.668405 | + | 2.74831i | −0.0262574 | + | 0.107964i | ||||
\(649\) | 1.76308 | + | 1.76308i | 0.0692068 | + | 0.0692068i | ||||
\(650\) | −37.3840 | + | 41.4370i | −1.46632 | + | 1.62529i | ||||
\(651\) | 27.8452 | − | 11.5338i | 1.09134 | − | 0.452047i | ||||
\(652\) | 23.8508 | − | 12.8892i | 0.934071 | − | 0.504780i | ||||
\(653\) | −12.1078 | + | 29.2307i | −0.473813 | + | 1.14389i | 0.488652 | + | 0.872479i | \(0.337489\pi\) |
−0.962465 | + | 0.271407i | \(0.912511\pi\) | |||||||
\(654\) | 6.89428 | + | 2.44904i | 0.269588 | + | 0.0957649i | ||||
\(655\) | − | 63.9032i | − | 2.49690i | ||||||
\(656\) | −4.31611 | + | 6.58926i | −0.168516 | + | 0.257268i | ||||
\(657\) | 6.18512i | 0.241304i | ||||||||
\(658\) | 1.19082 | − | 3.35227i | 0.0464229 | − | 0.130685i | ||||
\(659\) | −0.896470 | + | 2.16427i | −0.0349215 | + | 0.0843080i | −0.940378 | − | 0.340131i | \(-0.889529\pi\) |
0.905457 | + | 0.424439i | \(0.139529\pi\) | |||||||
\(660\) | 3.09659 | + | 0.923891i | 0.120535 | + | 0.0359624i | ||||
\(661\) | −24.9607 | + | 10.3391i | −0.970859 | + | 0.402143i | −0.811032 | − | 0.585002i | \(-0.801094\pi\) |
−0.159827 | + | 0.987145i | \(0.551094\pi\) | |||||||
\(662\) | 31.1088 | + | 28.0660i | 1.20908 | + | 1.09082i | ||||
\(663\) | −17.4728 | − | 17.4728i | −0.678586 | − | 0.678586i | ||||
\(664\) | 12.4402 | − | 17.0165i | 0.482772 | − | 0.660368i | ||||
\(665\) | 9.27732 | − | 9.27732i | 0.359759 | − | 0.359759i | ||||
\(666\) | −9.87552 | + | 0.507803i | −0.382669 | + | 0.0196770i | ||||
\(667\) | −0.0662948 | − | 0.160050i | −0.00256695 | − | 0.00619715i | ||||
\(668\) | −1.91641 | − | 18.5855i | −0.0741482 | − | 0.719094i | ||||
\(669\) | 1.79112 | + | 0.741907i | 0.0692487 | + | 0.0286838i | ||||
\(670\) | 26.4582 | − | 12.5879i | 1.02217 | − | 0.486314i | ||||
\(671\) | −1.38581 | −0.0534986 | ||||||||
\(672\) | −10.0265 | + | 17.1706i | −0.386781 | + | 0.662370i | ||||
\(673\) | −29.0320 | −1.11910 | −0.559550 | − | 0.828797i | \(-0.689026\pi\) | ||||
−0.559550 | + | 0.828797i | \(0.689026\pi\) | |||||||
\(674\) | −10.5741 | + | 5.03083i | −0.407300 | + | 0.193780i | ||||
\(675\) | −7.01532 | − | 2.90584i | −0.270020 | − | 0.111846i | ||||
\(676\) | 27.8699 | − | 2.87376i | 1.07192 | − | 0.110529i | ||||
\(677\) | 4.97128 | + | 12.0017i | 0.191062 | + | 0.461264i | 0.990161 | − | 0.139936i | \(-0.0446897\pi\) |
−0.799099 | + | 0.601200i | \(0.794690\pi\) | |||||||
\(678\) | −9.37086 | + | 0.481853i | −0.359886 | + | 0.0185055i | ||||
\(679\) | −25.3807 | + | 25.3807i | −0.974023 | + | 0.974023i | ||||
\(680\) | 47.1585 | − | 7.32642i | 1.80845 | − | 0.280955i | ||||
\(681\) | 15.1947 | + | 15.1947i | 0.582264 | + | 0.582264i | ||||
\(682\) | −4.09937 | − | 3.69840i | −0.156973 | − | 0.141619i | ||||
\(683\) | 31.6243 | − | 13.0992i | 1.21007 | − | 0.501227i | 0.315830 | − | 0.948816i | \(-0.397717\pi\) |
0.894239 | + | 0.447589i | \(0.147717\pi\) | |||||||
\(684\) | 0.601443 | − | 2.01585i | 0.0229968 | − | 0.0770780i | ||||
\(685\) | −8.01980 | + | 19.3615i | −0.306421 | + | 0.739765i | ||||
\(686\) | 2.73716 | − | 7.70538i | 0.104505 | − | 0.294193i | ||||
\(687\) | 24.0739i | 0.918478i | ||||||||
\(688\) | −6.94608 | − | 10.1924i | −0.264817 | − | 0.388581i | ||||
\(689\) | − | 58.7582i | − | 2.23851i | ||||||
\(690\) | −4.94326 | − | 1.75598i | −0.188187 | − | 0.0668490i | ||||
\(691\) | −4.38682 | + | 10.5907i | −0.166883 | + | 0.402890i | −0.985092 | − | 0.172031i | \(-0.944967\pi\) |
0.818209 | + | 0.574921i | \(0.194967\pi\) | |||||||
\(692\) | −17.7503 | − | 32.8462i | −0.674767 | − | 1.24862i | ||||
\(693\) | 1.47856 | − | 0.612439i | 0.0561658 | − | 0.0232646i | ||||
\(694\) | 19.1186 | − | 21.1913i | 0.725731 | − | 0.804412i | ||||
\(695\) | −46.6356 | − | 46.6356i | −1.76899 | − | 1.76899i | ||||
\(696\) | −0.243745 | − | 0.400407i | −0.00923914 | − | 0.0151774i | ||||
\(697\) | 6.62079 | − | 6.62079i | 0.250780 | − | 0.250780i | ||||
\(698\) | 0.0889670 | + | 1.73019i | 0.00336745 | + | 0.0654886i | ||||
\(699\) | 4.09395 | + | 9.88366i | 0.154847 | + | 0.373834i | ||||
\(700\) | −41.4183 | − | 33.6752i | −1.56547 | − | 1.27280i | ||||
\(701\) | 1.31276 | + | 0.543761i | 0.0495821 | + | 0.0205376i | 0.407337 | − | 0.913278i | \(-0.366458\pi\) |
−0.357755 | + | 0.933816i | \(0.616458\pi\) | |||||||
\(702\) | 3.15758 | + | 6.63682i | 0.119175 | + | 0.250491i | ||||
\(703\) | 7.35469 | 0.277387 | ||||||||
\(704\) | 3.62945 | + | 0.307232i | 0.136790 | + | 0.0115792i | ||||
\(705\) | 2.53967 | 0.0956496 | ||||||||
\(706\) | 7.26365 | + | 15.2672i | 0.273371 | + | 0.574590i | ||||
\(707\) | −16.3107 | − | 6.75611i | −0.613427 | − | 0.254090i | ||||
\(708\) | −8.49813 | − | 6.90941i | −0.319379 | − | 0.259671i | ||||
\(709\) | 2.19698 | + | 5.30398i | 0.0825094 | + | 0.199195i | 0.959750 | − | 0.280856i | \(-0.0906182\pi\) |
−0.877241 | + | 0.480051i | \(0.840618\pi\) | |||||||
\(710\) | −3.01077 | − | 58.5521i | −0.112992 | − | 2.19742i | ||||
\(711\) | 6.69594 | − | 6.69594i | 0.251117 | − | 0.251117i | ||||
\(712\) | 29.4006 | − | 17.8975i | 1.10183 | − | 0.670736i | ||||
\(713\) | 6.33769 | + | 6.33769i | 0.237348 | + | 0.237348i | ||||
\(714\) | 15.8324 | − | 17.5488i | 0.592511 | − | 0.656748i | ||||
\(715\) | 7.75782 | − | 3.21340i | 0.290126 | − | 0.120174i | ||||
\(716\) | 9.45825 | + | 17.5020i | 0.353471 | + | 0.654082i | ||||
\(717\) | 8.06142 | − | 19.4620i | 0.301059 | − | 0.726822i | ||||
\(718\) | −9.46237 | − | 3.36129i | −0.353132 | − | 0.125442i | ||||
\(719\) | − | 7.05462i | − | 0.263093i | −0.991310 | − | 0.131547i | \(-0.958006\pi\) | ||
0.991310 | − | 0.131547i | \(-0.0419943\pi\) | |||||||
\(720\) | −13.9468 | − | 2.64176i | −0.519768 | − | 0.0984526i | ||||
\(721\) | 14.8952i | 0.554726i | ||||||||
\(722\) | 8.47062 | − | 23.8456i | 0.315244 | − | 0.887443i | ||||
\(723\) | 9.25928 | − | 22.3539i | 0.344356 | − | 0.831349i | ||||
\(724\) | 3.44101 | − | 11.5332i | 0.127884 | − | 0.428628i | ||||
\(725\) | 1.16266 | − | 0.481591i | 0.0431803 | − | 0.0178859i | ||||
\(726\) | 11.3327 | + | 10.2242i | 0.420596 | + | 0.379457i | ||||
\(727\) | 6.68778 | + | 6.68778i | 0.248036 | + | 0.248036i | 0.820164 | − | 0.572128i | \(-0.193882\pi\) |
−0.572128 | + | 0.820164i | \(0.693882\pi\) | |||||||
\(728\) | 7.93182 | + | 51.0553i | 0.293973 | + | 1.89224i | ||||
\(729\) | −0.707107 | + | 0.707107i | −0.0261891 | + | 0.0261891i | ||||
\(730\) | −30.9999 | + | 1.59402i | −1.14736 | + | 0.0589975i | ||||
\(731\) | 5.61067 | + | 13.5453i | 0.207518 | + | 0.500993i | ||||
\(732\) | 6.05530 | − | 0.624383i | 0.223810 | − | 0.0230779i | ||||
\(733\) | −1.39035 | − | 0.575901i | −0.0513537 | − | 0.0212714i | 0.356859 | − | 0.934158i | \(-0.383848\pi\) |
−0.408212 | + | 0.912887i | \(0.633848\pi\) | |||||||
\(734\) | 30.3630 | − | 14.4457i | 1.12072 | − | 0.533202i | ||||
\(735\) | −19.0034 | −0.700950 | ||||||||
\(736\) | −5.85855 | − | 0.800658i | −0.215949 | − | 0.0295126i | ||||
\(737\) | −2.65818 | −0.0979152 | ||||||||
\(738\) | −2.51483 | + | 1.19647i | −0.0925721 | + | 0.0440428i | ||||
\(739\) | −4.78590 | − | 1.98239i | −0.176052 | − | 0.0729233i | 0.292916 | − | 0.956138i | \(-0.405374\pi\) |
−0.468969 | + | 0.883215i | \(0.655374\pi\) | |||||||
\(740\) | −5.09023 | − | 49.3653i | −0.187120 | − | 1.81471i | ||||
\(741\) | −2.09189 | − | 5.05026i | −0.0768474 | − | 0.185526i | ||||
\(742\) | 56.1279 | − | 2.88612i | 2.06052 | − | 0.105953i | ||||
\(743\) | −5.78338 | + | 5.78338i | −0.212172 | + | 0.212172i | −0.805189 | − | 0.593018i | \(-0.797936\pi\) |
0.593018 | + | 0.805189i | \(0.297936\pi\) | |||||||
\(744\) | 19.5785 | + | 14.3132i | 0.717784 | + | 0.524748i | ||||
\(745\) | −20.7943 | − | 20.7943i | −0.761844 | − | 0.761844i | ||||
\(746\) | −4.38613 | − | 3.95712i | −0.160588 | − | 0.144880i | ||||
\(747\) | 6.88522 | − | 2.85195i | 0.251917 | − | 0.104347i | ||||
\(748\) | −4.14894 | − | 1.23787i | −0.151700 | − | 0.0452609i | ||||
\(749\) | −0.612028 | + | 1.47757i | −0.0223630 | + | 0.0539891i | ||||
\(750\) | 4.35657 | − | 12.2642i | 0.159079 | − | 0.447824i | ||||
\(751\) | − | 16.4504i | − | 0.600283i | −0.953895 | − | 0.300141i | \(-0.902966\pi\) | ||
0.953895 | − | 0.300141i | \(-0.0970338\pi\) | |||||||
\(752\) | 2.80241 | − | 0.584143i | 0.102193 | − | 0.0213015i | ||||
\(753\) | 0.184821i | 0.00673524i | ||||||||
\(754\) | −1.14781 | − | 0.407733i | −0.0418007 | − | 0.0148488i | ||||
\(755\) | −16.0297 | + | 38.6991i | −0.583380 | + | 1.40840i | ||||
\(756\) | −6.18463 | + | 3.34222i | −0.224933 | + | 0.121555i | ||||
\(757\) | −6.29845 | + | 2.60890i | −0.228921 | + | 0.0948222i | −0.494196 | − | 0.869351i | \(-0.664537\pi\) |
0.265275 | + | 0.964173i | \(0.414537\pi\) | |||||||
\(758\) | −8.50962 | + | 9.43219i | −0.309083 | + | 0.342593i | ||||
\(759\) | 0.336527 | + | 0.336527i | 0.0122151 | + | 0.0122151i | ||||
\(760\) | 10.2585 | + | 2.49492i | 0.372114 | + | 0.0905001i | ||||
\(761\) | −8.75540 | + | 8.75540i | −0.317383 | + | 0.317383i | −0.847761 | − | 0.530378i | \(-0.822050\pi\) |
0.530378 | + | 0.847761i | \(0.322050\pi\) | |||||||
\(762\) | 1.39175 | + | 27.0661i | 0.0504178 | + | 0.980503i | ||||
\(763\) | 6.95890 | + | 16.8003i | 0.251929 | + | 0.608211i | ||||
\(764\) | −7.25711 | + | 8.92579i | −0.262553 | + | 0.322924i | ||||
\(765\) | 15.5887 | + | 6.45704i | 0.563610 | + | 0.233455i | ||||
\(766\) | 5.84347 | + | 12.2822i | 0.211133 | + | 0.443774i | ||||
\(767\) | −28.4602 | −1.02764 | ||||||||
\(768\) | −15.9973 | + | 0.292813i | −0.577254 | + | 0.0105660i | ||||
\(769\) | 31.9426 | 1.15188 | 0.575940 | − | 0.817492i | \(-0.304636\pi\) | ||||
0.575940 | + | 0.817492i | \(0.304636\pi\) | |||||||
\(770\) | 3.45060 | + | 7.25271i | 0.124351 | + | 0.261369i | ||||
\(771\) | −27.4817 | − | 11.3833i | −0.989729 | − | 0.409959i | ||||
\(772\) | 2.55996 | − | 3.14859i | 0.0921351 | − | 0.113320i | ||||
\(773\) | −11.4245 | − | 27.5812i | −0.410911 | − | 0.992027i | −0.984894 | − | 0.173159i | \(-0.944602\pi\) |
0.573983 | − | 0.818867i | \(-0.305398\pi\) | |||||||
\(774\) | −0.223938 | − | 4.35505i | −0.00804929 | − | 0.156539i | ||||
\(775\) | −46.0394 | + | 46.0394i | −1.65379 | + | 1.65379i | ||||
\(776\) | −28.0649 | − | 6.82555i | −1.00747 | − | 0.245023i | ||||
\(777\) | −17.3790 | − | 17.3790i | −0.623468 | − | 0.623468i | ||||
\(778\) | −28.0735 | + | 31.1171i | −1.00648 | + | 1.11560i | ||||
\(779\) | 1.91365 | − | 0.792659i | 0.0685636 | − | 0.0284000i | ||||
\(780\) | −32.4500 | + | 17.5363i | −1.16190 | + | 0.627899i | ||||
\(781\) | −2.03550 | + | 4.91414i | −0.0728360 | + | 0.175842i | ||||
\(782\) | 6.62318 | + | 2.35273i | 0.236844 | + | 0.0841336i | ||||
\(783\) | − | 0.165732i | − | 0.00592278i | ||||||
\(784\) | −20.9693 | + | 4.37091i | −0.748905 | + | 0.156104i | ||||
\(785\) | − | 4.34850i | − | 0.155205i | ||||||
\(786\) | 8.52449 | − | 23.9973i | 0.304058 | − | 0.855955i | ||||
\(787\) | 4.33415 | − | 10.4636i | 0.154496 | − | 0.372986i | −0.827613 | − | 0.561299i | \(-0.810302\pi\) |
0.982109 | + | 0.188313i | \(0.0603019\pi\) | |||||||
\(788\) | −17.7733 | − | 5.30278i | −0.633146 | − | 0.188904i | ||||
\(789\) | 0.276038 | − | 0.114338i | 0.00982720 | − | 0.00407056i | ||||
\(790\) | 35.2858 | + | 31.8344i | 1.25541 | + | 1.13262i | ||||
\(791\) | −16.4909 | − | 16.4909i | −0.586349 | − | 0.586349i | ||||
\(792\) | 1.03961 | + | 0.760021i | 0.0369408 | + | 0.0270062i | ||||
\(793\) | 11.1851 | − | 11.1851i | 0.397195 | − | 0.397195i | ||||
\(794\) | −1.04614 | + | 0.0537928i | −0.0371261 | + | 0.00190903i | ||||
\(795\) | 15.3541 | + | 37.0682i | 0.544555 | + | 1.31467i | ||||
\(796\) | 3.69766 | + | 35.8602i | 0.131060 | + | 1.27103i | ||||
\(797\) | −46.7451 | − | 19.3624i | −1.65580 | − | 0.685853i | −0.658050 | − | 0.752974i | \(-0.728619\pi\) |
−0.997745 | + | 0.0671211i | \(0.978619\pi\) | |||||||
\(798\) | 4.72144 | − | 2.24631i | 0.167137 | − | 0.0795184i | ||||
\(799\) | −3.40276 | −0.120381 | ||||||||
\(800\) | 5.81629 | − | 42.5588i | 0.205637 | − | 1.50468i | ||||
\(801\) | 12.1692 | 0.429978 | ||||||||
\(802\) | 5.72929 | − | 2.72581i | 0.202308 | − | 0.0962516i | ||||
\(803\) | 2.60174 | + | 1.07768i | 0.0918136 | + | 0.0380304i | ||||
\(804\) | 11.6149 | − | 1.19765i | 0.409627 | − | 0.0422380i | ||||
\(805\) | −4.98959 | − | 12.0459i | −0.175860 | − | 0.424563i | ||||
\(806\) | 62.9372 | − | 3.23625i | 2.21687 | − | 0.113992i | ||||
\(807\) | 16.9715 | − | 16.9715i | 0.597426 | − | 0.597426i | ||||
\(808\) | −2.18089 | − | 14.0379i | −0.0767234 | − | 0.493851i | ||||
\(809\) | −1.47101 | − | 1.47101i | −0.0517179 | − | 0.0517179i | 0.680775 | − | 0.732493i | \(-0.261643\pi\) |
−0.732493 | + | 0.680775i | \(0.761643\pi\) | |||||||
\(810\) | −3.72626 | − | 3.36179i | −0.130927 | − | 0.118121i | ||||
\(811\) | −27.3097 | + | 11.3120i | −0.958972 | + | 0.397219i | −0.806596 | − | 0.591103i | \(-0.798693\pi\) |
−0.152376 | + | 0.988323i | \(0.548693\pi\) | |||||||
\(812\) | 0.333102 | − | 1.11645i | 0.0116896 | − | 0.0391799i | ||||
\(813\) | −5.95314 | + | 14.3722i | −0.208786 | + | 0.504054i | ||||
\(814\) | −1.50708 | + | 4.24257i | −0.0528231 | + | 0.148702i | ||||
\(815\) | 48.1041i | 1.68501i | ||||||||
\(816\) | 18.6865 | + | 3.53954i | 0.654160 | + | 0.123909i | ||||
\(817\) | 3.24337i | 0.113471i | ||||||||
\(818\) | 28.6936 | + | 10.1927i | 1.00325 | + | 0.356381i | ||||
\(819\) | −6.99060 | + | 16.8768i | −0.244271 | + | 0.589723i | ||||
\(820\) | −6.64485 | − | 12.2960i | −0.232048 | − | 0.429394i | ||||
\(821\) | −2.95519 | + | 1.22408i | −0.103137 | + | 0.0427207i | −0.433655 | − | 0.901079i | \(-0.642776\pi\) |
0.330518 | + | 0.943800i | \(0.392776\pi\) | |||||||
\(822\) | −5.59440 | + | 6.20092i | −0.195127 | + | 0.216282i | ||||
\(823\) | −11.2350 | − | 11.2350i | −0.391626 | − | 0.391626i | 0.483640 | − | 0.875267i | \(-0.339314\pi\) |
−0.875267 | + | 0.483640i | \(0.839314\pi\) | |||||||
\(824\) | −10.2381 | + | 6.23238i | −0.356661 | + | 0.217115i | ||||
\(825\) | −2.44466 | + | 2.44466i | −0.0851122 | + | 0.0851122i | ||||
\(826\) | −1.39792 | − | 27.1862i | −0.0486399 | − | 0.945928i | ||||
\(827\) | −16.2758 | − | 39.2934i | −0.565967 | − | 1.36636i | −0.904928 | − | 0.425564i | \(-0.860076\pi\) |
0.338962 | − | 0.940800i | \(-0.389924\pi\) | |||||||
\(828\) | −1.62208 | − | 1.31883i | −0.0563711 | − | 0.0458325i | ||||
\(829\) | 41.9981 | + | 17.3962i | 1.45866 | + | 0.604195i | 0.964240 | − | 0.265031i | \(-0.0853821\pi\) |
0.494416 | + | 0.869226i | \(0.335382\pi\) | |||||||
\(830\) | 16.0685 | + | 33.7738i | 0.557744 | + | 1.17230i | ||||
\(831\) | 26.1629 | 0.907583 | ||||||||
\(832\) | −31.7737 | + | 26.8142i | −1.10155 | + | 0.929615i | ||||
\(833\) | 25.4615 | 0.882188 | ||||||||
\(834\) | −11.2918 | − | 23.7339i | −0.391004 | − | 0.821838i | ||||
\(835\) | 30.6285 | + | 12.6867i | 1.05994 | + | 0.439043i | ||||
\(836\) | −0.743166 | − | 0.604231i | −0.0257029 | − | 0.0208978i | ||||
\(837\) | 3.28135 | + | 7.92188i | 0.113420 | + | 0.273820i | ||||
\(838\) | 1.03862 | + | 20.1986i | 0.0358785 | + | 0.697748i | ||||
\(839\) | −36.5559 | + | 36.5559i | −1.26205 | + | 1.26205i | −0.311954 | + | 0.950097i | \(0.600983\pi\) |
−0.950097 | + | 0.311954i | \(0.899017\pi\) | |||||||
\(840\) | −18.3452 | − | 30.1360i | −0.632968 | − | 1.03979i | ||||
\(841\) | −20.4867 | − | 20.4867i | −0.706437 | − | 0.706437i | ||||
\(842\) | 14.3028 | − | 15.8534i | 0.492905 | − | 0.546344i | ||||
\(843\) | 24.2137 | − | 10.0296i | 0.833964 | − | 0.345439i | ||||
\(844\) | −21.1020 | − | 39.0483i | −0.726361 | − | 1.34410i | ||||
\(845\) | −19.0245 | + | 45.9291i | −0.654462 | + | 1.58001i | ||||
\(846\) | 0.953712 | + | 0.338784i | 0.0327893 | + | 0.0116476i | ||||
\(847\) | 37.9360i | 1.30350i | ||||||||
\(848\) | 25.4685 | + | 37.3714i | 0.874593 | + | 1.28334i | ||||
\(849\) | − | 9.41220i | − | 0.323026i | ||||||
\(850\) | −17.0912 | + | 48.1134i | −0.586222 | + | 1.65027i | ||||
\(851\) | 2.79699 | − | 6.75254i | 0.0958796 | − | 0.231474i | ||||
\(852\) | 6.68005 | − | 22.3895i | 0.228855 | − | 0.767050i | ||||
\(853\) | 37.5279 | − | 15.5446i | 1.28493 | − | 0.532236i | 0.367461 | − | 0.930039i | \(-0.380227\pi\) |
0.917471 | + | 0.397802i | \(0.130227\pi\) | |||||||
\(854\) | 11.2338 | + | 10.1350i | 0.384413 | + | 0.346813i | ||||
\(855\) | 2.63937 | + | 2.63937i | 0.0902647 | + | 0.0902647i | ||||
\(856\) | −1.27167 | + | 0.197564i | −0.0434649 | + | 0.00675260i | ||||
\(857\) | −14.0544 | + | 14.0544i | −0.480088 | + | 0.480088i | −0.905160 | − | 0.425072i | \(-0.860249\pi\) |
0.425072 | + | 0.905160i | \(0.360249\pi\) | |||||||
\(858\) | 3.34192 | − | 0.171843i | 0.114091 | − | 0.00586661i | ||||
\(859\) | 2.44981 | + | 5.91435i | 0.0835863 | + | 0.201795i | 0.960147 | − | 0.279497i | \(-0.0901677\pi\) |
−0.876560 | + | 0.481292i | \(0.840168\pi\) | |||||||
\(860\) | 21.7698 | − | 2.24476i | 0.742345 | − | 0.0765457i | ||||
\(861\) | −6.39496 | − | 2.64888i | −0.217940 | − | 0.0902736i | ||||
\(862\) | −39.5502 | + | 18.8167i | −1.34708 | + | 0.640899i | ||||
\(863\) | 49.2474 | 1.67640 | 0.838201 | − | 0.545361i | \(-0.183608\pi\) | ||||
0.838201 | + | 0.545361i | \(0.183608\pi\) | |||||||
\(864\) | −4.88499 | − | 2.85251i | −0.166191 | − | 0.0970445i | ||||
\(865\) | 66.2465 | 2.25245 | ||||||||
\(866\) | 49.5676 | − | 23.5827i | 1.68438 | − | 0.801372i | ||||
\(867\) | −5.18038 | − | 2.14578i | −0.175935 | − | 0.0728746i | ||||
\(868\) | 6.18276 | + | 59.9608i | 0.209857 | + | 2.03520i | ||||
\(869\) | −1.64994 | − | 3.98330i | −0.0559703 | − | 0.135124i | ||||
\(870\) | 0.830651 | − | 0.0427124i | 0.0281617 | − | 0.00144809i | ||||
\(871\) | 21.4546 | − | 21.4546i | 0.726962 | − | 0.726962i | ||||
\(872\) | −8.63582 | + | 11.8126i | −0.292446 | + | 0.400026i | ||||
\(873\) | −7.22075 | − | 7.22075i | −0.244385 | − | 0.244385i | ||||
\(874\) | 1.15447 | + | 1.04155i | 0.0390505 | + | 0.0352309i | ||||
\(875\) | 29.8858 | − | 12.3791i | 1.01033 | − | 0.418490i | ||||
\(876\) | −11.8539 | − | 3.53669i | −0.400506 | − | 0.119494i | ||||
\(877\) | 3.14641 | − | 7.59609i | 0.106247 | − | 0.256502i | −0.861811 | − | 0.507229i | \(-0.830670\pi\) |
0.968058 | + | 0.250727i | \(0.0806698\pi\) | |||||||
\(878\) | −2.78051 | + | 7.82741i | −0.0938376 | + | 0.264162i | ||||
\(879\) | 21.7460i | 0.733474i | ||||||||
\(880\) | −3.54130 | + | 5.40639i | −0.119377 | + | 0.182249i | ||||
\(881\) | 0.591830i | 0.0199392i | 0.999950 | + | 0.00996962i | \(0.00317348\pi\) | ||||
−0.999950 | + | 0.00996962i | \(0.996827\pi\) | |||||||
\(882\) | −7.13625 | − | 2.53499i | −0.240290 | − | 0.0853576i | ||||
\(883\) | −12.2234 | + | 29.5100i | −0.411352 | + | 0.993091i | 0.573424 | + | 0.819259i | \(0.305615\pi\) |
−0.984775 | + | 0.173832i | \(0.944385\pi\) | |||||||
\(884\) | 43.4779 | − | 23.4958i | 1.46232 | − | 0.790249i | ||||
\(885\) | 17.9544 | − | 7.43695i | 0.603530 | − | 0.249990i | ||||
\(886\) | −5.61881 | + | 6.22797i | −0.188768 | + | 0.209233i | ||||
\(887\) | 19.3889 | + | 19.3889i | 0.651017 | + | 0.651017i | 0.953238 | − | 0.302221i | \(-0.0977281\pi\) |
−0.302221 | + | 0.953238i | \(0.597728\pi\) | |||||||
\(888\) | 4.67367 | − | 19.2170i | 0.156838 | − | 0.644879i | ||||
\(889\) | −47.6312 | + | 47.6312i | −1.59750 | + | 1.59750i | ||||
\(890\) | 3.13624 | + | 60.9922i | 0.105127 | + | 2.04446i | ||||
\(891\) | 0.174237 | + | 0.420646i | 0.00583717 | + | 0.0140922i | ||||
\(892\) | −2.44605 | + | 3.00849i | −0.0818999 | + | 0.100732i | ||||
\(893\) | −0.695454 | − | 0.288067i | −0.0232725 | − | 0.00963978i | ||||
\(894\) | −5.03489 | − | 10.5827i | −0.168392 | − | 0.353938i | ||||
\(895\) | −35.2994 | −1.17993 | ||||||||
\(896\) | −27.1745 | − | 29.0342i | −0.907838 | − | 0.969965i | ||||
\(897\) | −5.43233 | −0.181380 | ||||||||
\(898\) | −4.44477 | − | 9.34232i | −0.148324 | − | 0.311757i | ||||
\(899\) | −1.31291 | − | 0.543825i | −0.0437880 | − | 0.0181376i | ||||
\(900\) | 9.58050 | − | 11.7834i | 0.319350 | − | 0.392780i | ||||
\(901\) | −20.5721 | − | 49.6654i | −0.685356 | − | 1.65460i | ||||
\(902\) | 0.0651147 | + | 1.26632i | 0.00216808 | + | 0.0421639i | ||||
\(903\) | 7.66404 | − | 7.66404i | 0.255043 | − | 0.255043i | ||||
\(904\) | 4.43484 | − | 18.2349i | 0.147501 | − | 0.606485i | ||||
\(905\) | 15.1005 | + | 15.1005i | 0.501959 | + | 0.501959i | ||||
\(906\) | −11.1819 | + | 12.3942i | −0.371494 | + | 0.411769i | ||||
\(907\) | −7.79114 | + | 3.22719i | −0.258700 | + | 0.107157i | −0.508264 | − | 0.861201i | \(-0.669713\pi\) |
0.249564 | + | 0.968358i | \(0.419713\pi\) | |||||||
\(908\) | −37.8095 | + | 20.4325i | −1.25475 | + | 0.678078i | ||||
\(909\) | 1.92210 | − | 4.64035i | 0.0637519 | − | 0.153911i | ||||
\(910\) | −86.3883 | − | 30.6875i | −2.86374 | − | 1.01728i | ||||
\(911\) | − | 32.8156i | − | 1.08723i | −0.839335 | − | 0.543615i | \(-0.817055\pi\) | ||
0.839335 | − | 0.543615i | \(-0.182945\pi\) | |||||||
\(912\) | 3.51950 | + | 2.30535i | 0.116542 | + | 0.0763379i | ||||
\(913\) | − | 3.39315i | − | 0.112297i | ||||||
\(914\) | 1.20982 | − | 3.40577i | 0.0400174 | − | 0.112653i | ||||
\(915\) | −4.13345 | + | 9.97903i | −0.136648 | + | 0.329896i | ||||
\(916\) | −46.1381 | − | 13.7656i | −1.52445 | − | 0.454829i | ||||
\(917\) | 58.4776 | − | 24.2222i | 1.93110 | − | 0.799887i | ||||
\(918\) | 4.99260 | + | 4.50426i | 0.164780 | + | 0.148663i | ||||
\(919\) | −3.20080 | − | 3.20080i | −0.105584 | − | 0.105584i | 0.652341 | − | 0.757926i | \(-0.273787\pi\) |
−0.757926 | + | 0.652341i | \(0.773787\pi\) | |||||||
\(920\) | 6.19195 | − | 8.46976i | 0.204143 | − | 0.279240i | ||||
\(921\) | 21.7574 | − | 21.7574i | 0.716930 | − | 0.716930i | ||||
\(922\) | −20.1019 | + | 1.03365i | −0.662021 | + | 0.0340413i | ||||
\(923\) | −23.2340 | − | 56.0918i | −0.764756 | − | 1.84628i | ||||
\(924\) | 0.328300 | + | 3.18388i | 0.0108003 | + | 0.104742i | ||||
\(925\) | 49.0531 | + | 20.3184i | 1.61285 | + | 0.668066i | ||||
\(926\) | −36.6096 | + | 17.4177i | −1.20307 | + | 0.572380i | ||||
\(927\) | −4.23764 | −0.139182 | ||||||||
\(928\) | 0.906761 | − | 0.238187i | 0.0297659 | − | 0.00781887i | ||||
\(929\) | −5.46430 | −0.179278 | −0.0896389 | − | 0.995974i | \(-0.528571\pi\) | ||||
−0.0896389 | + | 0.995974i | \(0.528571\pi\) | |||||||
\(930\) | −38.8589 | + | 18.4878i | −1.27423 | + | 0.606238i | ||||
\(931\) | 5.20381 | + | 2.15549i | 0.170548 | + | 0.0706433i | ||||
\(932\) | −21.2831 | + | 2.19458i | −0.697153 | + | 0.0718858i | ||||
\(933\) | −0.587233 | − | 1.41771i | −0.0192251 | − | 0.0464136i | ||||
\(934\) | 0.0679517 | − | 0.00349410i | 0.00222345 | − | 0.000114330i | ||||
\(935\) | 5.43225 | − | 5.43225i | 0.177654 | − | 0.177654i | ||||
\(936\) | −14.5251 | + | 2.25658i | −0.474768 | + | 0.0737587i | ||||
\(937\) | −20.1655 | − | 20.1655i | −0.658779 | − | 0.658779i | 0.296312 | − | 0.955091i | \(-0.404243\pi\) |
−0.955091 | + | 0.296312i | \(0.904243\pi\) | |||||||
\(938\) | 21.5480 | + | 19.4404i | 0.703568 | + | 0.634751i | ||||
\(939\) | 4.50160 | − | 1.86462i | 0.146904 | − | 0.0608497i | ||||
\(940\) | −1.45220 | + | 4.86732i | −0.0473656 | + | 0.158755i | ||||
\(941\) | −10.4612 | + | 25.2557i | −0.341027 | + | 0.823311i | 0.656586 | + | 0.754251i | \(0.272000\pi\) |
−0.997613 | + | 0.0690598i | \(0.978000\pi\) | |||||||
\(942\) | 0.580077 | − | 1.63297i | 0.0188999 | − | 0.0532052i | ||||
\(943\) | − | 2.05842i | − | 0.0670314i | ||||||
\(944\) | 18.1013 | − | 12.3360i | 0.589146 | − | 0.401501i | ||||
\(945\) | − | 12.4736i | − | 0.405766i | ||||||
\(946\) | −1.87095 | − | 0.664613i | −0.0608299 | − | 0.0216084i | ||||
\(947\) | 7.10795 | − | 17.1601i | 0.230977 | − | 0.557628i | −0.765316 | − | 0.643655i | \(-0.777417\pi\) |
0.996293 | + | 0.0860269i | \(0.0274171\pi\) | |||||||
\(948\) | 9.00410 | + | 16.6617i | 0.292439 | + | 0.541145i | ||||
\(949\) | −29.6973 | + | 12.3010i | −0.964014 | + | 0.399308i | ||||
\(950\) | −7.56621 | + | 8.38651i | −0.245480 | + | 0.272094i | ||||
\(951\) | 1.43303 | + | 1.43303i | 0.0464690 | + | 0.0464690i | ||||
\(952\) | 24.5796 | + | 40.3775i | 0.796629 | + | 1.30864i | ||||
\(953\) | −8.36834 | + | 8.36834i | −0.271077 | + | 0.271077i | −0.829534 | − | 0.558457i | \(-0.811394\pi\) |
0.558457 | + | 0.829534i | \(0.311394\pi\) | |||||||
\(954\) | 0.821093 | + | 15.9682i | 0.0265839 | + | 0.516991i | ||||
\(955\) | −7.81120 | − | 18.8579i | −0.252765 | − | 0.610228i | ||||
\(956\) | 32.6897 | + | 26.5783i | 1.05726 | + | 0.859605i | ||||
\(957\) | −0.0697145 | − | 0.0288767i | −0.00225355 | − | 0.000933451i | ||||
\(958\) | −5.25041 | − | 11.0357i | −0.169633 | − | 0.356546i | ||||
\(959\) | −20.7575 | −0.670294 | ||||||||
\(960\) | 13.0379 | − | 25.2188i | 0.420796 | − | 0.813933i | ||||
\(961\) | 42.5234 | 1.37172 | ||||||||
\(962\) | −22.0787 | − | 46.4065i | −0.711845 | − | 1.49620i | ||||
\(963\) | −0.420364 | − | 0.174120i | −0.0135460 | − | 0.00561095i | ||||
\(964\) | 37.5471 | + | 30.5276i | 1.20931 | + | 0.983229i | ||||
\(965\) | 2.75542 | + | 6.65217i | 0.0887001 | + | 0.214141i | ||||
\(966\) | −0.266828 | − | 5.18915i | −0.00858505 | − | 0.166958i | ||||
\(967\) | 15.9921 | − | 15.9921i | 0.514273 | − | 0.514273i | −0.401560 | − | 0.915833i | \(-0.631532\pi\) |
0.915833 | + | 0.401560i | \(0.131532\pi\) | |||||||
\(968\) | −26.0750 | + | 15.8730i | −0.838083 | + | 0.510178i | ||||
\(969\) | −3.53634 | − | 3.53634i | −0.113604 | − | 0.113604i | ||||
\(970\) | 34.3295 | − | 38.0514i | 1.10226 | − | 1.22176i | ||||
\(971\) | −30.0555 | + | 12.4494i | −0.964528 | + | 0.399521i | −0.808673 | − | 0.588259i | \(-0.799814\pi\) |
−0.155856 | + | 0.987780i | \(0.549814\pi\) | |||||||
\(972\) | −0.950854 | − | 1.75951i | −0.0304987 | − | 0.0564363i | ||||
\(973\) | 24.9990 | − | 60.3530i | 0.801433 | − | 1.93483i | ||||
\(974\) | −4.06739 | − | 1.44485i | −0.130328 | − | 0.0462959i | ||||
\(975\) | − | 39.4626i | − | 1.26381i | ||||||
\(976\) | −2.26582 | + | 11.9621i | −0.0725272 | + | 0.382898i | ||||
\(977\) | − | 25.2550i | − | 0.807979i | −0.914764 | − | 0.403989i | \(-0.867623\pi\) | ||
0.914764 | − | 0.403989i | \(-0.132377\pi\) | |||||||
\(978\) | −6.41694 | + | 18.0643i | −0.205191 | + | 0.577634i | ||||
\(979\) | 2.12033 | − | 5.11892i | 0.0677660 | − | 0.163602i | ||||
\(980\) | 10.8663 | − | 36.4203i | 0.347110 | − | 1.16340i | ||||
\(981\) | −4.77963 | + | 1.97979i | −0.152602 | + | 0.0632098i | ||||
\(982\) | −27.7980 | − | 25.0791i | −0.887071 | − | 0.800305i | ||||
\(983\) | 37.2730 | + | 37.2730i | 1.18882 | + | 1.18882i | 0.977393 | + | 0.211432i | \(0.0678128\pi\) |
0.211432 | + | 0.977393i | \(0.432187\pi\) | |||||||
\(984\) | −0.855066 | − | 5.50386i | −0.0272585 | − | 0.175457i | ||||
\(985\) | 23.2707 | − | 23.2707i | 0.741467 | − | 0.741467i | ||||
\(986\) | −1.11294 | + | 0.0572278i | −0.0354432 | + | 0.00182250i | ||||
\(987\) | 0.962650 | + | 2.32404i | 0.0306415 | + | 0.0739751i | ||||
\(988\) | 10.8751 | − | 1.12137i | 0.345982 | − | 0.0356754i | ||||
\(989\) | 2.97783 | + | 1.23346i | 0.0946895 | + | 0.0392217i | ||||
\(990\) | −2.06338 | + | 0.981687i | −0.0655784 | + | 0.0312001i | ||||
\(991\) | −21.7711 | −0.691581 | −0.345791 | − | 0.938312i | \(-0.612389\pi\) | ||||
−0.345791 | + | 0.938312i | \(0.612389\pi\) | |||||||
\(992\) | −38.6266 | + | 29.3382i | −1.22640 | + | 0.931489i | ||||
\(993\) | −29.6265 | −0.940167 | ||||||||
\(994\) | 52.4396 | − | 24.9491i | 1.66328 | − | 0.791336i | ||||
\(995\) | −59.0969 | − | 24.4787i | −1.87350 | − | 0.776028i | ||||
\(996\) | 1.52880 | + | 14.8264i | 0.0484419 | + | 0.469792i | ||||
\(997\) | 7.63502 | + | 18.4326i | 0.241803 | + | 0.583765i | 0.997462 | − | 0.0712005i | \(-0.0226830\pi\) |
−0.755659 | + | 0.654966i | \(0.772683\pi\) | |||||||
\(998\) | −18.4152 | + | 0.946917i | −0.582923 | + | 0.0299741i | ||||
\(999\) | 4.94428 | − | 4.94428i | 0.156430 | − | 0.156430i |
(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 | 96.2.n.a.61.4 | ✓ | 32 | |
3.2 | odd | 2 | 288.2.v.d.253.5 | 32 | |||
4.3 | odd | 2 | 384.2.n.a.337.1 | 32 | |||
8.3 | odd | 2 | 768.2.n.b.673.8 | 32 | |||
8.5 | even | 2 | 768.2.n.a.673.4 | 32 | |||
12.11 | even | 2 | 1152.2.v.c.721.7 | 32 | |||
32.5 | even | 8 | 768.2.n.a.97.4 | 32 | |||
32.11 | odd | 8 | 384.2.n.a.49.1 | 32 | |||
32.21 | even | 8 | inner | 96.2.n.a.85.4 | yes | 32 | |
32.27 | odd | 8 | 768.2.n.b.97.8 | 32 | |||
96.11 | even | 8 | 1152.2.v.c.433.7 | 32 | |||
96.53 | odd | 8 | 288.2.v.d.181.5 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.61.4 | ✓ | 32 | 1.1 | even | 1 | trivial | |
96.2.n.a.85.4 | yes | 32 | 32.21 | even | 8 | inner | |
288.2.v.d.181.5 | 32 | 96.53 | odd | 8 | |||
288.2.v.d.253.5 | 32 | 3.2 | odd | 2 | |||
384.2.n.a.49.1 | 32 | 32.11 | odd | 8 | |||
384.2.n.a.337.1 | 32 | 4.3 | odd | 2 | |||
768.2.n.a.97.4 | 32 | 32.5 | even | 8 | |||
768.2.n.a.673.4 | 32 | 8.5 | even | 2 | |||
768.2.n.b.97.8 | 32 | 32.27 | odd | 8 | |||
768.2.n.b.673.8 | 32 | 8.3 | odd | 2 | |||
1152.2.v.c.433.7 | 32 | 96.11 | even | 8 | |||
1152.2.v.c.721.7 | 32 | 12.11 | even | 2 |