↑

Properties

Label 71.10.g.a.2.6
Level $71$
Weight $10$
Character 71.2
Analytic conductor $36.568$
Analytic rank $0$
Dimension $1272$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [71,10,Mod(2,71)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(71, base_ring=CyclotomicField(70))
 
chi = DirichletCharacter(H, H._module([6]))
 
N = Newforms(chi, 10, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("71.2");
 
S:= CuspForms(chi, 10);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 71 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 71.g (of order \(35\), degree \(24\), 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: \(36.5675443676\)
Analytic rank: \(0\)
Dimension: \(1272\)
Relative dimension: \(53\) over \(\Q(\zeta_{35})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{35}]$

Embedding invariants

Embedding label 2.6
Character \(\chi\) \(=\) 71.2
Dual form 71.10.g.a.36.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.71897 + 38.2758i) q^{2} +(57.7916 + 50.4910i) q^{3} +(-952.140 - 85.6942i) q^{4} +(-148.076 - 455.730i) q^{5} +(-2031.92 + 2125.23i) q^{6} +(-6864.78 - 1894.56i) q^{7} +(2283.46 - 16857.2i) q^{8} +(-1851.58 - 13668.9i) q^{9} +O(q^{10})\) \(q+(-1.71897 + 38.2758i) q^{2} +(57.7916 + 50.4910i) q^{3} +(-952.140 - 85.6942i) q^{4} +(-148.076 - 455.730i) q^{5} +(-2031.92 + 2125.23i) q^{6} +(-6864.78 - 1894.56i) q^{7} +(2283.46 - 16857.2i) q^{8} +(-1851.58 - 13668.9i) q^{9} +(17697.9 - 4884.32i) q^{10} +(-19748.4 + 36698.8i) q^{11} +(-50699.0 - 53027.0i) q^{12} +(-30056.1 - 55853.5i) q^{13} +(84316.0 - 259498. i) q^{14} +(14452.7 - 33813.9i) q^{15} +(159696. + 28980.6i) q^{16} +(63065.2 + 45819.6i) q^{17} +(526372. - 47374.4i) q^{18} +(203335. + 475727. i) q^{19} +(101935. + 446608. i) q^{20} +(-301068. - 456099. i) q^{21} +(-1.37073e6 - 818971. i) q^{22} +(1.20204e6 + 1.50731e6i) q^{23} +(983102. - 858910. i) q^{24} +(1.39435e6 - 1.01305e6i) q^{25} +(2.18950e6 - 1.05441e6i) q^{26} +(1.41528e6 - 2.14406e6i) q^{27} +(6.37388e6 + 2.39216e6i) q^{28} +(172356. - 102978. i) q^{29} +(1.26941e6 + 611314. i) q^{30} +(8.18856e6 - 1.48601e6i) q^{31} +(554325. - 2.42866e6i) q^{32} +(-2.99425e6 + 1.12376e6i) q^{33} +(-1.86219e6 + 2.33511e6i) q^{34} +(153099. + 3.40902e6i) q^{35} +(591619. + 1.31734e7i) q^{36} +(4.38553e6 - 5.49928e6i) q^{37} +(-1.85583e7 + 6.96506e6i) q^{38} +(1.08311e6 - 4.74543e6i) q^{39} +(-8.02045e6 + 1.45550e6i) q^{40} +(-1.33576e7 - 6.43270e6i) q^{41} +(1.79751e7 - 1.07396e7i) q^{42} +(1.22430e6 + 459487. i) q^{43} +(2.19482e7 - 3.32501e7i) q^{44} +(-5.95517e6 + 2.86786e6i) q^{45} +(-5.97598e7 + 4.34181e7i) q^{46} +(2.41153e7 - 2.10689e7i) q^{47} +(7.76585e6 + 9.73807e6i) q^{48} +(8.89430e6 + 5.31409e6i) q^{49} +(3.63785e7 + 5.51111e7i) q^{50} +(1.33117e6 + 5.83222e6i) q^{51} +(2.38313e7 + 5.57560e7i) q^{52} +(-7.91987e7 + 7.12801e6i) q^{53} +(7.96327e7 + 5.78566e7i) q^{54} +(1.96490e7 + 3.56576e6i) q^{55} +(-4.76124e7 + 1.11395e8i) q^{56} +(-1.22689e7 + 3.77597e7i) q^{57} +(3.64528e6 + 6.77407e6i) q^{58} +(-6.00011e7 - 6.27563e7i) q^{59} +(-1.66587e7 + 3.09570e7i) q^{60} +(1.71050e7 - 4.72068e6i) q^{61} +(4.28021e7 + 3.15978e8i) q^{62} +(-1.31859e7 + 9.73422e7i) q^{63} +(1.72111e8 + 4.74996e7i) q^{64} +(-2.10035e7 + 2.19680e7i) q^{65} +(-3.78658e7 - 1.16539e8i) q^{66} +(1.88363e8 + 1.69530e7i) q^{67} +(-5.61205e7 - 4.90310e7i) q^{68} +(-6.63781e6 + 1.47802e8i) q^{69} -1.30746e8 q^{70} +(-1.17135e8 - 1.79243e8i) q^{71} -2.34648e8 q^{72} +(2.92014e6 - 6.50220e7i) q^{73} +(2.02951e8 + 1.77313e8i) q^{74} +(1.31732e8 + 1.18561e7i) q^{75} +(-1.52837e8 - 4.70384e8i) q^{76} +(2.05097e8 - 2.14514e8i) q^{77} +(1.79773e8 + 4.96142e7i) q^{78} +(7.37926e7 - 5.44759e8i) q^{79} +(-1.04398e7 - 7.70697e7i) q^{80} +(-7.16716e7 + 1.97801e7i) q^{81} +(2.69178e8 - 5.00216e8i) q^{82} +(-1.01349e8 - 1.06002e8i) q^{83} +(2.47574e8 + 4.60070e8i) q^{84} +(1.15429e7 - 3.55255e7i) q^{85} +(-1.96918e7 + 4.60711e7i) q^{86} +(1.51602e7 + 2.75117e6i) q^{87} +(5.73543e8 + 4.16704e8i) q^{88} +(-5.23699e8 + 4.71338e7i) q^{89} +(-9.95328e7 - 2.32868e8i) q^{90} +(1.00510e8 + 4.40365e8i) q^{91} +(-1.01534e9 - 1.53818e9i) q^{92} +(5.48260e8 + 3.27570e8i) q^{93} +(7.64974e8 + 9.59248e8i) q^{94} +(1.86694e8 - 1.63110e8i) q^{95} +(1.54661e8 - 1.12368e8i) q^{96} +(1.20883e9 - 5.82141e8i) q^{97} +(-2.18690e8 + 3.31301e8i) q^{98} +(5.38199e8 + 2.01990e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1272 q - 76 q^{2} - 395 q^{3} + 13542 q^{4} - 1610 q^{5} - 4334 q^{6} - 4827 q^{7} - 18627 q^{8} + 286810 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1272 q - 76 q^{2} - 395 q^{3} + 13542 q^{4} - 1610 q^{5} - 4334 q^{6} - 4827 q^{7} - 18627 q^{8} + 286810 q^{9} - 53448 q^{10} - 170685 q^{11} + 138323 q^{12} - 93291 q^{13} + 985964 q^{14} - 966194 q^{15} + 4755334 q^{16} + 2558412 q^{17} - 2619769 q^{18} - 172269 q^{19} + 738120 q^{20} + 1797929 q^{21} + 3015622 q^{22} + 6635088 q^{23} + 4803145 q^{24} - 115100016 q^{25} + 19254293 q^{26} - 17686931 q^{27} + 15761532 q^{28} - 10052927 q^{29} + 62637435 q^{30} - 23748991 q^{31} + 10388192 q^{32} - 15097203 q^{33} + 33217854 q^{34} - 24823174 q^{35} + 27856812 q^{36} - 27156308 q^{37} - 43400577 q^{38} + 251072838 q^{39} - 129856160 q^{40} + 62087988 q^{41} - 91873950 q^{42} - 167299067 q^{43} + 60914131 q^{44} - 31536191 q^{45} - 50201490 q^{46} - 23317743 q^{47} + 10641329 q^{48} + 338745866 q^{49} + 303770229 q^{50} + 448039613 q^{51} - 979580293 q^{52} + 12085215 q^{53} - 182583505 q^{54} - 243892552 q^{55} + 30440435 q^{56} + 714581966 q^{57} - 244549660 q^{58} - 859013315 q^{59} - 1894499000 q^{60} - 876373921 q^{61} + 186553636 q^{62} - 196611021 q^{63} + 5528242635 q^{64} + 867018244 q^{65} + 2727701199 q^{66} - 286780089 q^{67} - 1689988351 q^{68} - 3073308182 q^{69} - 41489396 q^{70} - 2538053548 q^{71} - 6821388000 q^{72} + 128479023 q^{73} + 3282772334 q^{74} + 3407782757 q^{75} + 7133788844 q^{76} + 1087098389 q^{77} + 2715049934 q^{78} + 144243625 q^{79} - 7443877603 q^{80} - 4083269278 q^{81} - 10375744380 q^{82} + 1543773955 q^{83} - 4117054288 q^{84} + 7843382686 q^{85} + 3545751759 q^{86} + 5261609811 q^{87} - 818728797 q^{88} - 1369081479 q^{89} + 10041256259 q^{90} - 7299574322 q^{91} + 602797624 q^{92} - 2146129677 q^{93} - 683447510 q^{94} - 7007204038 q^{95} + 6601829126 q^{96} - 10081488030 q^{97} - 5942379880 q^{98} - 4074592265 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Display 100 coefficients 10 coefficients

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/71\mathbb{Z}\right)^\times\).

\(n\) \(7\)
\(\chi(n)\) \(e\left(\frac{3}{35}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.71897 + 38.2758i −0.0759683 + 1.69157i 0.493653 + 0.869659i \(0.335661\pi\)
−0.569622 + 0.821907i \(0.692910\pi\)
\(3\) 57.7916 + 50.4910i 0.411926 + 0.359889i 0.838816 − 0.544414i \(-0.183248\pi\)
−0.426890 + 0.904303i \(0.640391\pi\)
\(4\) −952.140 − 85.6942i −1.85965 − 0.167371i
\(5\) −148.076 − 455.730i −0.105954 − 0.326094i 0.883999 − 0.467489i \(-0.154841\pi\)
−0.989953 + 0.141395i \(0.954841\pi\)
\(6\) −2031.92 + 2125.23i −0.640069 + 0.669460i
\(7\) −6864.78 − 1894.56i −1.08065 − 0.298241i −0.320010 − 0.947414i \(-0.603686\pi\)
−0.760640 + 0.649174i \(0.775115\pi\)
\(8\) 2283.46 − 16857.2i 0.197101 − 1.45506i
\(9\) −1851.58 − 13668.9i −0.0940702 − 0.694454i
\(10\) 17697.9 − 4884.32i 0.559658 − 0.154456i
\(11\) −19748.4 + 36698.8i −0.406692 + 0.755761i −0.998742 − 0.0501405i \(-0.984033\pi\)
0.592050 + 0.805901i \(0.298319\pi\)
\(12\) −50699.0 − 53027.0i −0.705803 − 0.738212i
\(13\) −30056.1 − 55853.5i −0.291868 − 0.542382i 0.691863 − 0.722029i \(-0.256790\pi\)
−0.983731 + 0.179647i \(0.942505\pi\)
\(14\) 84316.0 − 259498.i 0.586589 − 1.80533i
\(15\) 14452.7 − 33813.9i 0.0737122 − 0.172458i
\(16\) 159696. + 28980.6i 0.609193 + 0.110552i
\(17\) 63065.2 + 45819.6i 0.183134 + 0.133055i 0.675575 − 0.737291i \(-0.263895\pi\)
−0.492441 + 0.870346i \(0.663895\pi\)
\(18\) 526372. − 47374.4i 1.18186 − 0.106369i
\(19\) 203335. + 475727.i 0.357950 + 0.837465i 0.997629 + 0.0688229i \(0.0219244\pi\)
−0.639679 + 0.768642i \(0.720933\pi\)
\(20\) 101935. + 446608.i 0.142459 + 0.624154i
\(21\) −301068. − 456099.i −0.337815 − 0.511767i
\(22\) −1.37073e6 − 818971.i −1.24752 − 0.745361i
\(23\) 1.20204e6 + 1.50731e6i 0.895663 + 1.12313i 0.991805 + 0.127758i \(0.0407780\pi\)
−0.0961429 + 0.995368i \(0.530651\pi\)
\(24\) 983102. − 858910.i 0.604850 − 0.528442i
\(25\) 1.39435e6 − 1.01305e6i 0.713906 − 0.518683i
\(26\) 2.18950e6 − 1.05441e6i 0.939648 − 0.452511i
\(27\) 1.41528e6 − 2.14406e6i 0.512514 − 0.776426i
\(28\) 6.37388e6 + 2.39216e6i 1.95971 + 0.735493i
\(29\) 172356. − 102978.i 0.0452517 − 0.0270366i −0.490095 − 0.871669i \(-0.663038\pi\)
0.535347 + 0.844632i \(0.320181\pi\)
\(30\) 1.26941e6 + 611314.i 0.286125 + 0.137790i
\(31\) 8.18856e6 − 1.48601e6i 1.59250 − 0.288997i 0.691357 − 0.722513i \(-0.257013\pi\)
0.901145 + 0.433517i \(0.142728\pi\)
\(32\) 554325. − 2.42866e6i 0.0934522 − 0.409441i
\(33\) −2.99425e6 + 1.12376e6i −0.439517 + 0.164954i
\(34\) −1.86219e6 + 2.33511e6i −0.238984 + 0.299676i
\(35\) 153099. + 3.40902e6i 0.0172451 + 0.383993i
\(36\) 591619. + 1.31734e7i 0.0587058 + 1.30719i
\(37\) 4.38553e6 − 5.49928e6i 0.384693 − 0.482390i −0.551351 − 0.834274i \(-0.685887\pi\)
0.936044 + 0.351884i \(0.114459\pi\)
\(38\) −1.85583e7 + 6.96506e6i −1.44382 + 0.541875i
\(39\) 1.08311e6 − 4.74543e6i 0.0749692 − 0.328462i
\(40\) −8.02045e6 + 1.45550e6i −0.495369 + 0.0898962i
\(41\) −1.33576e7 − 6.43270e6i −0.738248 − 0.355522i 0.0266739 − 0.999644i \(-0.491508\pi\)
−0.764922 + 0.644122i \(0.777223\pi\)
\(42\) 1.79751e7 − 1.07396e7i 0.891351 − 0.532558i
\(43\) 1.22430e6 + 459487.i 0.0546109 + 0.0204958i 0.378531 − 0.925589i \(-0.376429\pi\)
−0.323920 + 0.946085i \(0.605001\pi\)
\(44\) 2.19482e7 − 3.32501e7i 0.882798 − 1.33738i
\(45\) −5.95517e6 + 2.86786e6i −0.216490 + 0.104256i
\(46\) −5.97598e7 + 4.34181e7i −1.96788 + 1.42975i
\(47\) 2.41153e7 − 2.10689e7i 0.720862 − 0.629798i −0.217256 − 0.976115i \(-0.569711\pi\)
0.938118 + 0.346317i \(0.112568\pi\)
\(48\) 7.76585e6 + 9.73807e6i 0.211156 + 0.264781i
\(49\) 8.89430e6 + 5.31409e6i 0.220409 + 0.131688i
\(50\) 3.63785e7 + 5.51111e7i 0.823153 + 1.24702i
\(51\) 1.33117e6 + 5.83222e6i 0.0275528 + 0.120717i
\(52\) 2.38313e7 + 5.57560e7i 0.451994 + 1.05749i
\(53\) −7.91987e7 + 7.12801e6i −1.37872 + 0.124087i −0.754058 − 0.656808i \(-0.771906\pi\)
−0.624663 + 0.780895i \(0.714764\pi\)
\(54\) 7.96327e7 + 5.78566e7i 1.27444 + 0.925935i
\(55\) 1.96490e7 + 3.56576e6i 0.289540 + 0.0525437i
\(56\) −4.76124e7 + 1.11395e8i −0.646955 + 1.51363i
\(57\) −1.22689e7 + 3.77597e7i −0.153946 + 0.473796i
\(58\) 3.64528e6 + 6.77407e6i 0.0422966 + 0.0786002i
\(59\) −6.00011e7 − 6.27563e7i −0.644652 − 0.674253i 0.317032 − 0.948415i \(-0.397314\pi\)
−0.961684 + 0.274162i \(0.911600\pi\)
\(60\) −1.66587e7 + 3.09570e7i −0.165943 + 0.308375i
\(61\) 1.71050e7 − 4.72068e6i 0.158175 − 0.0436536i −0.186052 − 0.982540i \(-0.559569\pi\)
0.344228 + 0.938886i \(0.388141\pi\)
\(62\) 4.28021e7 + 3.15978e8i 0.367877 + 2.71578i
\(63\) −1.31859e7 + 9.73422e7i −0.105457 + 0.778518i
\(64\) 1.72111e8 + 4.74996e7i 1.28233 + 0.353900i
\(65\) −2.10035e7 + 2.19680e7i −0.145943 + 0.152644i
\(66\) −3.78658e7 − 1.16539e8i −0.245640 − 0.756003i
\(67\) 1.88363e8 + 1.69530e7i 1.14198 + 0.102780i 0.644438 − 0.764657i \(-0.277092\pi\)
0.497546 + 0.867437i \(0.334234\pi\)
\(68\) −5.61205e7 − 4.90310e7i −0.318296 − 0.278087i
\(69\) −6.63781e6 + 1.47802e8i −0.0352537 + 0.784984i
\(70\) −1.30746e8 −0.650860
\(71\) −1.17135e8 − 1.79243e8i −0.547046 − 0.837102i
\(72\) −2.34648e8 −1.02901
\(73\) 2.92014e6 − 6.50220e7i 0.0120351 − 0.267983i −0.983949 − 0.178451i \(-0.942891\pi\)
0.995984 − 0.0895321i \(-0.0285372\pi\)
\(74\) 2.02951e8 + 1.77313e8i 0.786769 + 0.687380i
\(75\) 1.31732e8 + 1.18561e7i 0.480745 + 0.0432678i
\(76\) −1.52837e8 − 4.70384e8i −0.525493 − 1.61730i
\(77\) 2.05097e8 − 2.14514e8i 0.664891 − 0.695421i
\(78\) 1.79773e8 + 4.96142e7i 0.549919 + 0.151768i
\(79\) 7.37926e7 − 5.44759e8i 0.213153 − 1.57356i −0.495887 − 0.868387i \(-0.665157\pi\)
0.709039 − 0.705169i \(-0.249129\pi\)
\(80\) −1.04398e7 − 7.70697e7i −0.0284962 − 0.210368i
\(81\) −7.16716e7 + 1.97801e7i −0.184997 + 0.0510559i
\(82\) 2.69178e8 − 5.00216e8i 0.657472 − 1.22179i
\(83\) −1.01349e8 − 1.06002e8i −0.234405 − 0.245168i 0.595122 − 0.803636i \(-0.297104\pi\)
−0.829526 + 0.558468i \(0.811390\pi\)
\(84\) 2.47574e8 + 4.60070e8i 0.542561 + 1.00825i
\(85\) 1.15429e7 − 3.55255e7i 0.0239845 − 0.0738167i
\(86\) −1.96918e7 + 4.60711e7i −0.0388187 + 0.0908209i
\(87\) 1.51602e7 + 2.75117e6i 0.0283706 + 0.00514850i
\(88\) 5.73543e8 + 4.16704e8i 1.01952 + 0.740722i
\(89\) −5.23699e8 + 4.71338e7i −0.884763 + 0.0796301i −0.522693 − 0.852521i \(-0.675073\pi\)
−0.362070 + 0.932151i \(0.617930\pi\)
\(90\) −9.95328e7 − 2.32868e8i −0.159910 − 0.374127i
\(91\) 1.00510e8 + 4.40365e8i 0.153647 + 0.673173i
\(92\) −1.01534e9 − 1.53818e9i −1.47764 − 2.23853i
\(93\) 5.48260e8 + 3.27570e8i 0.760000 + 0.454079i
\(94\) 7.64974e8 + 9.59248e8i 1.01058 + 1.26723i
\(95\) 1.86694e8 − 1.63110e8i 0.235166 − 0.205458i
\(96\) 1.54661e8 − 1.12368e8i 0.185849 − 0.135027i
\(97\) 1.20883e9 − 5.82141e8i 1.38641 − 0.667660i 0.416055 − 0.909340i \(-0.363412\pi\)
0.970356 + 0.241679i \(0.0776982\pi\)
\(98\) −2.18690e8 + 3.31301e8i −0.239503 + 0.362832i
\(99\) 5.38199e8 + 2.01990e8i 0.563099 + 0.211335i
\(100\) −1.41443e9 + 8.45081e8i −1.41443 + 0.845081i
\(101\) 2.10531e8 + 1.01386e8i 0.201312 + 0.0969467i 0.531823 − 0.846855i \(-0.321507\pi\)
−0.330512 + 0.943802i \(0.607221\pi\)
\(102\) −2.25521e8 + 4.09260e7i −0.206294 + 0.0374368i
\(103\) 2.44024e8 − 1.06914e9i 0.213632 − 0.935981i −0.748444 − 0.663198i \(-0.769199\pi\)
0.962076 − 0.272783i \(-0.0879441\pi\)
\(104\) −1.01017e9 + 3.79122e8i −0.846725 + 0.317781i
\(105\) −1.63277e8 + 2.04743e8i −0.131091 + 0.164383i
\(106\) −1.36690e8 − 3.04364e9i −0.105162 − 2.34162i
\(107\) −5.79029e6 − 1.28931e8i −0.00427045 − 0.0950889i −0.999996 − 0.00273044i \(-0.999131\pi\)
0.995726 − 0.0923584i \(-0.0294406\pi\)
\(108\) −1.53128e9 + 1.92016e9i −1.08305 + 1.35810i
\(109\) −4.82819e8 + 1.81205e8i −0.327616 + 0.122956i −0.509763 − 0.860315i \(-0.670267\pi\)
0.182147 + 0.983271i \(0.441695\pi\)
\(110\) −1.70258e8 + 7.45950e8i −0.110877 + 0.485784i
\(111\) 5.31111e8 − 9.63824e7i 0.332072 − 0.0602621i
\(112\) −1.04137e9 − 5.01499e8i −0.625354 − 0.301154i
\(113\) −2.57945e8 + 1.54115e8i −0.148825 + 0.0889186i −0.585381 − 0.810758i \(-0.699055\pi\)
0.436556 + 0.899677i \(0.356198\pi\)
\(114\) −1.42419e9 − 5.34507e8i −0.789762 − 0.296403i
\(115\) 5.08934e8 − 7.71003e8i 0.271345 − 0.411070i
\(116\) −1.72932e8 + 8.32795e7i −0.0886775 + 0.0427048i
\(117\) −7.07808e8 + 5.14252e8i −0.349204 + 0.253711i
\(118\) 2.50518e9 − 2.18871e9i 1.18952 − 1.03925i
\(119\) −3.46121e8 − 4.34022e8i −0.158222 − 0.198404i
\(120\) −5.37004e8 − 3.20845e8i −0.236408 − 0.141247i
\(121\) 3.42188e8 + 5.18393e8i 0.145121 + 0.219849i
\(122\) 1.51285e8 + 6.62821e8i 0.0618266 + 0.270880i
\(123\) −4.47166e8 − 1.04620e9i −0.176155 − 0.412136i
\(124\) −7.92400e9 + 7.13173e8i −3.00987 + 0.270893i
\(125\) −1.42531e9 − 1.03555e9i −0.522173 − 0.379381i
\(126\) −3.70318e9 − 6.72028e8i −1.30890 − 0.237531i
\(127\) 1.93238e9 − 4.52102e9i 0.659136 − 1.54213i −0.171425 − 0.985197i \(-0.554837\pi\)
0.830561 − 0.556928i \(-0.188020\pi\)
\(128\) −1.71980e9 + 5.29301e9i −0.566283 + 1.74284i
\(129\) 4.75543e7 + 8.83706e7i 0.0151194 + 0.0280966i
\(130\) −8.04737e8 − 8.41689e8i −0.247121 − 0.258468i
\(131\) 9.46190e8 − 1.75832e9i 0.280710 − 0.521646i −0.700728 − 0.713429i \(-0.747141\pi\)
0.981437 + 0.191783i \(0.0614269\pi\)
\(132\) 2.94725e9 − 8.13389e8i 0.844956 − 0.233193i
\(133\) −4.94560e8 − 3.65099e9i −0.137052 − 1.01176i
\(134\) −9.72680e8 + 7.18061e9i −0.260614 + 1.92393i
\(135\) −1.18668e9 − 3.27503e8i −0.307491 − 0.0848620i
\(136\) 9.16396e8 − 9.58475e8i 0.229699 − 0.240246i
\(137\) 1.17956e9 + 3.63030e9i 0.286072 + 0.880440i 0.986075 + 0.166300i \(0.0531820\pi\)
−0.700003 + 0.714140i \(0.746818\pi\)
\(138\) −5.64584e9 − 5.08135e8i −1.32517 − 0.119268i
\(139\) 2.74454e9 + 2.39783e9i 0.623595 + 0.544819i 0.910694 − 0.413082i \(-0.135548\pi\)
−0.287098 + 0.957901i \(0.592691\pi\)
\(140\) 1.46361e8 − 3.25899e9i 0.0321996 − 0.716979i
\(141\) 2.45745e9 0.523599
\(142\) 7.06200e9 − 4.17532e9i 1.45757 − 0.861772i
\(143\) 2.64332e9 0.528612
\(144\) 1.00443e8 − 2.23654e9i 0.0194666 − 0.433457i
\(145\) −7.24518e7 − 6.32992e7i −0.0136111 − 0.0118917i
\(146\) 2.48375e9 + 2.23541e8i 0.452397 + 0.0407164i
\(147\) 2.45702e8 + 7.56192e8i 0.0433991 + 0.133569i
\(148\) −4.64690e9 + 4.86027e9i −0.796132 + 0.832689i
\(149\) 9.16251e9 + 2.52869e9i 1.52292 + 0.420299i 0.924593 − 0.380955i \(-0.124405\pi\)
0.598324 + 0.801254i \(0.295833\pi\)
\(150\) −6.80243e8 + 5.02175e9i −0.109712 + 0.809925i
\(151\) 8.86867e8 + 6.54712e9i 0.138823 + 1.02483i 0.917592 + 0.397523i \(0.130130\pi\)
−0.778769 + 0.627311i \(0.784155\pi\)
\(152\) 8.48373e9 − 2.34136e9i 1.28911 − 0.355772i
\(153\) 5.09535e8 − 9.46874e8i 0.0751731 − 0.139695i
\(154\) 7.85814e9 + 8.21897e9i 1.12584 + 1.17754i
\(155\) −1.88974e9 − 3.51173e9i −0.262972 − 0.488685i
\(156\) −1.43793e9 + 4.42550e9i −0.194392 + 0.598276i
\(157\) 2.46241e8 − 5.76111e8i 0.0323454 − 0.0756759i −0.902576 − 0.430530i \(-0.858327\pi\)
0.934922 + 0.354854i \(0.115469\pi\)
\(158\) 2.07242e10 + 3.76089e9i 2.64558 + 0.480102i
\(159\) −4.93692e9 − 3.58688e9i −0.612589 − 0.445072i
\(160\) −1.18889e9 + 1.07002e8i −0.143418 + 0.0129078i
\(161\) −5.39606e9 − 1.26247e10i −0.632937 − 1.48083i
\(162\) −6.33898e8 − 2.77729e9i −0.0723105 − 0.316813i
\(163\) −2.14250e9 − 3.24576e9i −0.237726 − 0.360140i 0.696052 − 0.717991i \(-0.254938\pi\)
−0.933779 + 0.357851i \(0.883510\pi\)
\(164\) 1.21671e10 + 7.26951e9i 1.31338 + 0.784707i
\(165\) 9.55508e8 + 1.19817e9i 0.100359 + 0.125846i
\(166\) 4.23153e9 − 3.69698e9i 0.432525 − 0.377886i
\(167\) −2.06675e9 + 1.50158e9i −0.205619 + 0.149391i −0.685829 − 0.727763i \(-0.740560\pi\)
0.480210 + 0.877153i \(0.340560\pi\)
\(168\) −8.37603e9 + 4.03368e9i −0.811235 + 0.390670i
\(169\) 3.62574e9 − 5.49276e9i 0.341905 − 0.517965i
\(170\) 1.33992e9 + 5.02881e8i 0.123044 + 0.0461791i
\(171\) 6.12619e9 − 3.66023e9i 0.547909 − 0.327360i
\(172\) −1.12633e9 − 5.42412e8i −0.0981268 − 0.0472554i
\(173\) 7.25750e9 − 1.31704e9i 0.615999 − 0.111787i 0.138416 − 0.990374i \(-0.455799\pi\)
0.477582 + 0.878587i \(0.341513\pi\)
\(174\) −1.31363e8 + 5.75539e8i −0.0108643 + 0.0475995i
\(175\) −1.14912e10 + 4.31271e9i −0.926175 + 0.347599i
\(176\) −4.21731e9 + 5.28834e9i −0.331305 + 0.415444i
\(177\) −2.98935e8 − 6.65630e9i −0.0228927 − 0.509746i
\(178\) −9.03860e8 − 2.01260e10i −0.0674856 − 1.50268i
\(179\) −6.54606e9 + 8.20850e9i −0.476586 + 0.597620i −0.960770 − 0.277346i \(-0.910545\pi\)
0.484184 + 0.874966i \(0.339116\pi\)
\(180\) 5.91592e9 − 2.22028e9i 0.420045 − 0.157646i
\(181\) −3.13030e9 + 1.37148e10i −0.216787 + 0.949805i 0.743048 + 0.669239i \(0.233380\pi\)
−0.959834 + 0.280567i \(0.909478\pi\)
\(182\) −1.70281e10 + 3.09014e9i −1.15039 + 0.208765i
\(183\) 1.22688e9 + 5.90833e8i 0.0808670 + 0.0389435i
\(184\) 2.81539e10 − 1.68212e10i 1.81075 − 1.08187i
\(185\) −3.15557e9 − 1.18431e9i −0.198064 − 0.0743347i
\(186\) −1.34804e10 + 2.04220e10i −0.825840 + 1.25109i
\(187\) −2.92696e9 + 1.40955e9i −0.175037 + 0.0842934i
\(188\) −2.47666e10 + 1.79940e10i −1.44596 + 1.05055i
\(189\) −1.37776e10 + 1.20372e10i −0.785410 + 0.686192i
\(190\) 5.92222e9 + 7.42623e9i 0.329681 + 0.413407i
\(191\) −2.15568e10 − 1.28796e10i −1.17202 − 0.700247i −0.211203 − 0.977442i \(-0.567738\pi\)
−0.960814 + 0.277195i \(0.910595\pi\)
\(192\) 7.54827e9 + 1.14351e10i 0.400859 + 0.607276i
\(193\) −1.61026e9 − 7.05500e9i −0.0835386 − 0.366007i 0.915829 − 0.401569i \(-0.131535\pi\)
−0.999367 + 0.0355622i \(0.988678\pi\)
\(194\) 2.02040e10 + 4.72695e10i 1.02407 + 2.39593i
\(195\) −2.32302e9 + 2.09075e8i −0.115053 + 0.0103549i
\(196\) −8.01323e9 − 5.82195e9i −0.387843 − 0.281784i
\(197\) −1.37941e10 − 2.50326e9i −0.652522 − 0.118415i −0.157806 − 0.987470i \(-0.550442\pi\)
−0.494716 + 0.869055i \(0.664728\pi\)
\(198\) −8.65645e9 + 2.02528e10i −0.400264 + 0.936464i
\(199\) −5.72906e9 + 1.76322e10i −0.258967 + 0.797019i 0.734055 + 0.679090i \(0.237626\pi\)
−0.993022 + 0.117929i \(0.962374\pi\)
\(200\) −1.38933e10 − 2.58181e10i −0.614003 − 1.14101i
\(201\) 1.00299e10 + 1.04904e10i 0.433423 + 0.453325i
\(202\) −4.24253e9 + 7.88395e9i −0.179285 + 0.333167i
\(203\) −1.37828e9 + 3.80382e8i −0.0569647 + 0.0157213i
\(204\) −7.67669e8 − 5.66716e9i −0.0310340 − 0.229103i
\(205\) −9.53633e8 + 7.04000e9i −0.0377128 + 0.278407i
\(206\) 4.05027e10 + 1.11780e10i 1.56704 + 0.432477i
\(207\) 1.83777e10 − 1.92216e10i 0.695704 − 0.727649i
\(208\) −3.18117e9 − 9.79065e9i −0.117843 − 0.362682i
\(209\) −2.14742e10 − 1.93271e9i −0.778499 − 0.0700661i
\(210\) −7.55603e9 − 6.60150e9i −0.268106 − 0.234237i
\(211\) 6.80430e8 − 1.51510e10i 0.0236327 − 0.526222i −0.951905 − 0.306392i \(-0.900878\pi\)
0.975538 − 0.219830i \(-0.0705503\pi\)
\(212\) 7.60191e10 2.58471
\(213\) 2.28071e9 − 1.62730e10i 0.0759212 − 0.541700i
\(214\) 4.94488e9 0.161173
\(215\) 2.81132e7 − 6.25988e8i 0.000897298 − 0.0199799i
\(216\) −3.29111e10 − 2.87536e10i −1.02873 − 0.898772i
\(217\) −5.90280e10 − 5.31261e9i −1.80713 − 0.162645i
\(218\) −6.10581e9 − 1.87918e10i −0.183100 − 0.563525i
\(219\) 3.45179e9 − 3.61029e9i 0.101402 − 0.106058i
\(220\) −1.84030e10 − 5.07891e9i −0.529648 − 0.146174i
\(221\) 6.63692e8 − 4.89957e9i 0.0187155 − 0.138163i
\(222\) 2.77615e9 + 2.04944e10i 0.0767104 + 0.566299i
\(223\) 2.30136e10 − 6.35134e9i 0.623178 − 0.171986i 0.0598334 − 0.998208i \(-0.480943\pi\)
0.563344 + 0.826222i \(0.309514\pi\)
\(224\) −8.40654e9 + 1.56220e10i −0.223101 + 0.414591i
\(225\) −1.64291e10 − 1.71835e10i −0.427359 − 0.446983i
\(226\) −5.45548e9 − 1.01380e10i −0.139106 − 0.258502i
\(227\) −1.13259e10 + 3.48576e10i −0.283111 + 0.871326i 0.703848 + 0.710351i \(0.251464\pi\)
−0.986959 + 0.160975i \(0.948536\pi\)
\(228\) 1.49175e10 − 3.49011e10i 0.365585 − 0.855328i
\(229\) −4.50583e10 − 8.17688e9i −1.08272 − 0.196484i −0.392259 − 0.919855i \(-0.628306\pi\)
−0.690460 + 0.723371i \(0.742592\pi\)
\(230\) 2.86359e10 + 2.08052e10i 0.674738 + 0.490226i
\(231\) 2.26839e10 − 2.04159e9i 0.524160 − 0.0471753i
\(232\) −1.34235e9 − 3.14058e9i −0.0304207 − 0.0711728i
\(233\) −1.37453e10 − 6.02220e10i −0.305529 − 1.33861i −0.861648 − 0.507506i \(-0.830567\pi\)
0.556119 − 0.831103i \(-0.312290\pi\)
\(234\) −1.84667e10 − 2.79759e10i −0.402641 − 0.609975i
\(235\) −1.31726e10 − 7.87026e9i −0.281752 − 0.168339i
\(236\) 5.17516e10 + 6.48945e10i 1.08598 + 1.36177i
\(237\) 3.17700e10 − 2.77566e10i 0.654109 − 0.571477i
\(238\) 1.72075e10 − 1.25020e10i 0.347633 − 0.252570i
\(239\) 4.59290e10 − 2.21182e10i 0.910534 − 0.438490i 0.0808518 − 0.996726i \(-0.474236\pi\)
0.829682 + 0.558236i \(0.188522\pi\)
\(240\) 3.28799e9 − 4.98110e9i 0.0639706 − 0.0969113i
\(241\) −2.89808e10 − 1.08767e10i −0.553393 − 0.207692i 0.0589825 − 0.998259i \(-0.481214\pi\)
−0.612375 + 0.790567i \(0.709786\pi\)
\(242\) −2.04301e10 + 1.22064e10i −0.382914 + 0.228780i
\(243\) −5.06997e10 − 2.44157e10i −0.932775 − 0.449201i
\(244\) −1.66909e10 + 3.02895e9i −0.301457 + 0.0547064i
\(245\) 1.10476e9 − 4.84028e9i 0.0195894 − 0.0858269i
\(246\) 4.08127e10 − 1.53173e10i 0.710538 − 0.266669i
\(247\) 2.04596e10 − 2.56555e10i 0.349752 − 0.438575i
\(248\) −6.35160e9 − 1.41429e11i −0.106623 − 2.37415i
\(249\) −5.04934e8 − 1.12432e10i −0.00832411 − 0.185351i
\(250\) 4.20864e10 − 5.27747e10i 0.681416 − 0.854468i
\(251\) −9.60433e8 + 3.60457e8i −0.0152734 + 0.00573220i −0.359000 − 0.933338i \(-0.616882\pi\)
0.343726 + 0.939070i \(0.388311\pi\)
\(252\) 2.08965e10 − 9.15535e10i 0.326416 − 1.43012i
\(253\) −7.90550e10 + 1.43464e10i −1.21307 + 0.220140i
\(254\) 1.69724e11 + 8.17347e10i 2.55853 + 1.23212i
\(255\) 2.46080e9 − 1.47026e9i 0.0364456 − 0.0217753i
\(256\) −1.14052e11 − 4.28042e10i −1.65967 − 0.622884i
\(257\) −3.07376e10 + 4.65654e10i −0.439512 + 0.665832i −0.985053 − 0.172252i \(-0.944896\pi\)
0.545541 + 0.838084i \(0.316324\pi\)
\(258\) −3.46420e9 + 1.66827e9i −0.0486759 + 0.0234411i
\(259\) −4.05244e10 + 2.94427e10i −0.559587 + 0.406564i
\(260\) 2.18809e10 − 1.91167e10i 0.296951 − 0.259438i
\(261\) −1.72673e9 − 2.16525e9i −0.0230326 − 0.0288819i
\(262\) 6.56744e10 + 3.92386e10i 0.861074 + 0.514468i
\(263\) 8.08983e10 + 1.22556e11i 1.04265 + 1.57955i 0.791084 + 0.611707i \(0.209517\pi\)
0.251566 + 0.967840i \(0.419054\pi\)
\(264\) 1.21062e10 + 5.30408e10i 0.153388 + 0.672035i
\(265\) 1.49758e10 + 3.50377e10i 0.186545 + 0.436445i
\(266\) 1.40595e11 − 1.26537e10i 1.72187 − 0.154971i
\(267\) −3.26453e10 − 2.37182e10i −0.393115 − 0.285615i
\(268\) −1.77896e11 − 3.22833e10i −2.10649 − 0.382271i
\(269\) 2.90366e10 − 6.79346e10i 0.338112 − 0.791053i −0.661058 − 0.750334i \(-0.729892\pi\)
0.999171 − 0.0407185i \(-0.0129647\pi\)
\(270\) 1.45753e10 − 4.48581e10i 0.166909 − 0.513694i
\(271\) 2.78546e10 + 5.17625e10i 0.313715 + 0.582979i 0.987810 − 0.155665i \(-0.0497520\pi\)
−0.674095 + 0.738644i \(0.735466\pi\)
\(272\) 8.74341e9 + 9.14488e9i 0.0968547 + 0.101302i
\(273\) −1.64258e10 + 3.05243e10i −0.178976 + 0.332593i
\(274\) −1.40980e11 + 3.89080e10i −1.51105 + 0.417024i
\(275\) 9.64159e9 + 7.11771e10i 0.101660 + 0.750487i
\(276\) 1.89859e10 − 1.40160e11i 0.196943 − 1.45389i
\(277\) −8.27675e10 − 2.28424e10i −0.844697 − 0.233122i −0.183206 − 0.983075i \(-0.558648\pi\)
−0.661491 + 0.749953i \(0.730076\pi\)
\(278\) −9.64966e10 + 1.00928e11i −0.968970 + 1.01346i
\(279\) −3.54739e10 − 1.09178e11i −0.350502 − 1.07873i
\(280\) 5.78161e10 + 5.20354e9i 0.562131 + 0.0505927i
\(281\) 7.50984e10 + 6.56115e10i 0.718542 + 0.627771i 0.937509 − 0.347961i \(-0.113126\pi\)
−0.218967 + 0.975732i \(0.570269\pi\)
\(282\) −4.22428e9 + 9.40608e10i −0.0397769 + 0.885702i
\(283\) −1.24768e11 −1.15628 −0.578140 − 0.815937i \(-0.696221\pi\)
−0.578140 + 0.815937i \(0.696221\pi\)
\(284\) 9.61690e10 + 1.80702e11i 0.877208 + 1.64828i
\(285\) 1.90249e10 0.170813
\(286\) −4.54377e9 + 1.01175e11i −0.0401578 + 0.894182i
\(287\) 7.95101e10 + 6.94659e10i 0.691757 + 0.604370i
\(288\) −3.42235e10 − 3.08017e9i −0.293129 − 0.0263821i
\(289\) −3.47679e10 − 1.07005e11i −0.293182 − 0.902323i
\(290\) 2.54737e9 − 2.66434e9i 0.0211495 − 0.0221207i
\(291\) 9.92531e10 + 2.73921e10i 0.811382 + 0.223927i
\(292\) −8.35239e9 + 6.16598e10i −0.0672338 + 0.496340i
\(293\) −2.25004e9 − 1.66104e10i −0.0178355 − 0.131667i 0.979843 − 0.199770i \(-0.0640196\pi\)
−0.997678 + 0.0681032i \(0.978305\pi\)
\(294\) −2.93662e10 + 8.10455e9i −0.229237 + 0.0632654i
\(295\) −1.97152e10 + 3.66370e10i −0.151566 + 0.281657i
\(296\) −8.26882e10 − 8.64851e10i −0.626082 − 0.654830i
\(297\) 5.07347e10 + 9.42809e10i 0.378357 + 0.703105i
\(298\) −1.12538e11 + 3.46355e11i −0.826656 + 2.54419i
\(299\) 4.80601e10 − 1.12442e11i 0.347748 − 0.813596i
\(300\) −1.24411e11 − 2.25773e10i −0.886775 − 0.160926i
\(301\) −7.53402e9 − 5.47378e9i −0.0529026 − 0.0384360i
\(302\) −2.52120e11 + 2.26912e10i −1.74412 + 0.156974i
\(303\) 7.04782e9 + 1.64892e10i 0.0480356 + 0.112385i
\(304\) 1.86851e10 + 8.18646e10i 0.125477 + 0.549750i
\(305\) −4.68418e9 − 7.09624e9i −0.0309945 − 0.0469547i
\(306\) 3.53665e10 + 2.11305e10i 0.230592 + 0.137773i
\(307\) −1.42440e11 − 1.78614e11i −0.915187 − 1.14761i −0.988639 − 0.150310i \(-0.951973\pi\)
0.0734519 − 0.997299i \(-0.476598\pi\)
\(308\) −2.13663e11 + 1.86672e11i −1.35286 + 1.18196i
\(309\) 6.80845e10 − 4.94663e10i 0.424850 − 0.308671i
\(310\) 1.37663e11 − 6.62948e10i 0.846620 − 0.407711i
\(311\) 1.73502e11 − 2.62844e11i 1.05168 − 1.59322i 0.276998 − 0.960871i \(-0.410661\pi\)
0.774680 − 0.632353i \(-0.217911\pi\)
\(312\) −7.75214e10 − 2.90943e10i −0.463154 − 0.173825i
\(313\) 9.98891e10 − 5.96810e10i 0.588259 − 0.351469i −0.187724 − 0.982222i \(-0.560111\pi\)
0.775983 + 0.630753i \(0.217254\pi\)
\(314\) 2.16278e10 + 1.04154e10i 0.125553 + 0.0604634i
\(315\) 4.63142e10 − 8.40480e9i 0.265043 − 0.0480983i
\(316\) −1.16944e11 + 5.12363e11i −0.659758 + 2.89059i
\(317\) 1.81434e11 − 6.80934e10i 1.00914 − 0.378738i 0.208592 − 0.978003i \(-0.433112\pi\)
0.800551 + 0.599265i \(0.204540\pi\)
\(318\) 1.45777e11 − 1.82799e11i 0.799406 − 1.00242i
\(319\) 3.75399e8 + 8.35890e9i 0.00202971 + 0.0451951i
\(320\) −3.83845e9 − 8.54697e10i −0.0204635 − 0.455656i
\(321\) 6.17522e9 − 7.74348e9i 0.0324623 − 0.0407065i
\(322\) 4.92496e11 − 1.84837e11i 2.55300 − 0.958158i
\(323\) −8.97421e9 + 3.93186e10i −0.0458759 + 0.200996i
\(324\) 6.99365e10 − 1.26916e10i 0.352575 − 0.0639829i
\(325\) −9.84912e10 − 4.74309e10i −0.489691 − 0.235823i
\(326\) 1.27917e11 − 7.64266e10i 0.627260 − 0.374771i
\(327\) −3.70521e10 − 1.39059e10i −0.179204 − 0.0672565i
\(328\) −1.38939e11 + 2.10484e11i −0.662814 + 1.00412i
\(329\) −2.05462e11 + 9.89454e10i −0.966831 + 0.465601i
\(330\) −4.75033e10 + 3.45132e10i −0.220501 + 0.160204i
\(331\) 1.15257e11 − 1.00697e11i 0.527765 − 0.461094i −0.352341 − 0.935872i \(-0.614614\pi\)
0.880106 + 0.474777i \(0.157471\pi\)
\(332\) 8.74143e10 + 1.09614e11i 0.394876 + 0.495159i
\(333\) −8.32895e10 − 4.97632e10i −0.371186 − 0.221773i
\(334\) −5.39214e10 − 8.16874e10i −0.237084 − 0.359167i
\(335\) −2.01660e10 − 8.83531e10i −0.0874820 − 0.383284i
\(336\) −3.48615e10 − 8.15625e10i −0.149217 − 0.349111i
\(337\) 2.64212e11 − 2.37795e10i 1.11588 − 0.100431i 0.483688 − 0.875241i \(-0.339297\pi\)
0.632195 + 0.774810i \(0.282154\pi\)
\(338\) 2.04007e11 + 1.48220e11i 0.850197 + 0.617705i
\(339\) −2.26885e10 − 4.11736e9i −0.0933056 − 0.0169325i
\(340\) −1.40348e10 + 3.28361e10i −0.0569576 + 0.133259i
\(341\) −1.07177e11 + 3.29856e11i −0.429246 + 1.32108i
\(342\) 1.29567e11 + 2.40777e11i 0.512128 + 0.951693i
\(343\) 1.47604e11 + 1.54382e11i 0.575805 + 0.602245i
\(344\) 1.05413e10 − 1.95890e10i 0.0405865 − 0.0754223i
\(345\) 6.83409e10 − 1.88609e10i 0.259713 − 0.0716764i
\(346\) 3.79354e10 + 2.80050e11i 0.142299 + 1.05049i
\(347\) −5.31084e10 + 3.92062e11i −0.196644 + 1.45168i 0.576315 + 0.817228i \(0.304490\pi\)
−0.772959 + 0.634456i \(0.781224\pi\)
\(348\) −1.41989e10 − 3.91864e9i −0.0518976 − 0.0143228i
\(349\) 2.52459e11 − 2.64051e11i 0.910911 − 0.952738i −0.0881483 − 0.996107i \(-0.528095\pi\)
0.999059 + 0.0433693i \(0.0138092\pi\)
\(350\) −1.45319e11 − 4.47247e11i −0.517627 − 1.59309i
\(351\) −1.62291e11 − 1.46065e10i −0.570706 − 0.0513645i
\(352\) 7.81816e10 + 6.83052e10i 0.271433 + 0.237144i
\(353\) 1.39326e10 − 3.10233e11i 0.0477579 − 1.06341i −0.821861 − 0.569688i \(-0.807064\pi\)
0.869619 − 0.493723i \(-0.164364\pi\)
\(354\) 2.55289e11 0.864007
\(355\) −6.43413e10 + 7.99234e10i −0.215012 + 0.267083i
\(356\) 5.02674e11 1.65868
\(357\) 1.91132e9 − 4.25588e10i 0.00622768 − 0.138670i
\(358\) −3.02934e11 − 2.64666e11i −0.974708 − 0.851577i
\(359\) 2.85194e11 + 2.56679e10i 0.906181 + 0.0815578i 0.532917 − 0.846167i \(-0.321096\pi\)
0.373264 + 0.927725i \(0.378239\pi\)
\(360\) 3.47457e10 + 1.06936e11i 0.109028 + 0.335555i
\(361\) 3.80265e10 − 3.97726e10i 0.117843 − 0.123254i
\(362\) −5.19562e11 − 1.43390e11i −1.59019 − 0.438864i
\(363\) −6.39858e9 + 4.72362e10i −0.0193421 + 0.142789i
\(364\) −5.79633e10 − 4.27902e11i −0.173060 − 1.27758i
\(365\) −3.00649e10 + 8.29737e9i −0.0886627 + 0.0244694i
\(366\) −2.47235e10 + 4.59440e10i −0.0720188 + 0.133833i
\(367\) 1.38429e11 + 1.44785e11i 0.398317 + 0.416607i 0.891287 − 0.453439i \(-0.149803\pi\)
−0.492970 + 0.870046i \(0.664089\pi\)
\(368\) 1.48279e11 + 2.75548e11i 0.421467 + 0.783218i
\(369\) −6.31955e10 + 1.94496e11i −0.177446 + 0.546124i
\(370\) 5.07546e10 − 1.18746e11i 0.140789 − 0.329391i
\(371\) 5.57185e11 + 1.01114e11i 1.52692 + 0.277096i
\(372\) −4.93950e11 − 3.58876e11i −1.33733 − 0.971630i
\(373\) 2.21611e11 − 1.99453e10i 0.592790 − 0.0533521i 0.210817 − 0.977526i \(-0.432388\pi\)
0.381973 + 0.924173i \(0.375245\pi\)
\(374\) −4.89203e10 − 1.14455e11i −0.129291 − 0.302490i
\(375\) −3.00851e10 − 1.31811e11i −0.0785616 − 0.344201i
\(376\) −3.00096e11 − 4.54626e11i −0.774310 − 1.17303i
\(377\) −1.09320e10 − 6.53158e9i −0.0278718 − 0.0166526i
\(378\) −4.37048e11 − 5.48041e11i −1.10107 − 1.38070i
\(379\) 1.64279e11 − 1.43526e11i 0.408983 − 0.357317i −0.428726 − 0.903434i \(-0.641037\pi\)
0.837709 + 0.546117i \(0.183895\pi\)
\(380\) −1.91736e11 + 1.39305e11i −0.471714 + 0.342720i
\(381\) 3.39946e11 − 1.63709e11i 0.826509 − 0.398026i
\(382\) 5.30031e11 − 8.02963e11i 1.27355 − 1.92935i
\(383\) −6.40981e11 − 2.40564e11i −1.52213 − 0.571263i −0.556420 − 0.830901i \(-0.687825\pi\)
−0.965706 + 0.259638i \(0.916397\pi\)
\(384\) −3.66640e11 + 2.19057e11i −0.860496 + 0.514122i
\(385\) −1.28130e11 − 6.17043e10i −0.297220 − 0.143134i
\(386\) 2.72803e11 − 4.95065e10i 0.625471 − 0.113506i
\(387\) 4.01381e9 − 1.75857e10i 0.00909615 − 0.0398528i
\(388\) −1.20086e12 + 4.50691e11i −2.68999 + 1.00957i
\(389\) −2.35376e11 + 2.95152e11i −0.521182 + 0.653542i −0.970859 − 0.239649i \(-0.922967\pi\)
0.449678 + 0.893191i \(0.351539\pi\)
\(390\) −4.00933e9 − 8.92746e10i −0.00877568 − 0.195406i
\(391\) 6.74262e9 + 1.50136e11i 0.0145893 + 0.324855i
\(392\) 1.09891e11 − 1.37798e11i 0.235057 − 0.294752i
\(393\) 1.43461e11 − 5.38418e10i 0.303366 − 0.113855i
\(394\) 1.19526e11 − 5.23676e11i 0.249878 − 1.09479i
\(395\) −2.59190e11 + 4.70360e10i −0.535711 + 0.0972172i
\(396\) −4.95132e11 − 2.38443e11i −1.01180 − 0.487255i
\(397\) −7.68526e11 + 4.59173e11i −1.55275 + 0.927725i −0.557520 + 0.830163i \(0.688247\pi\)
−0.995230 + 0.0975613i \(0.968896\pi\)
\(398\) −6.65040e11 − 2.49594e11i −1.32854 − 0.498608i
\(399\) 1.55761e11 − 2.35968e11i 0.307666 − 0.466095i
\(400\) 2.52031e11 − 1.21372e11i 0.492248 − 0.237054i
\(401\) 7.84032e10 − 5.69632e10i 0.151420 − 0.110013i −0.509496 − 0.860473i \(-0.670168\pi\)
0.660916 + 0.750460i \(0.270168\pi\)
\(402\) −4.18769e11 + 3.65868e11i −0.799756 + 0.698726i
\(403\) −3.29115e11 − 4.12697e11i −0.621548 − 0.779396i
\(404\) −1.91767e11 − 1.14575e11i −0.358143 − 0.213981i
\(405\) 1.96272e10 + 2.97339e10i 0.0362502 + 0.0549168i
\(406\) −1.21902e10 − 5.34087e10i −0.0222660 − 0.0975539i
\(407\) 1.15209e11 + 2.69546e11i 0.208120 + 0.486920i
\(408\) 1.01354e11 − 9.12207e9i 0.181081 − 0.0162976i
\(409\) 5.24093e11 + 3.80776e11i 0.926091 + 0.672845i 0.945033 − 0.326976i \(-0.106030\pi\)
−0.0189414 + 0.999821i \(0.506030\pi\)
\(410\) −2.67822e11 − 4.86026e10i −0.468079 − 0.0849438i
\(411\) −1.15129e11 + 2.69358e11i −0.199020 + 0.465630i
\(412\) −3.23964e11 + 9.97060e11i −0.553936 + 1.70484i
\(413\) 2.92999e11 + 5.44483e11i 0.495554 + 0.920893i
\(414\) 7.04130e11 + 7.36462e11i 1.17802 + 1.23211i
\(415\) −3.33011e10 + 6.18839e10i −0.0551116 + 0.102414i
\(416\) −1.52310e11 + 4.20348e10i −0.249349 + 0.0688160i
\(417\) 3.75424e10 + 2.77149e11i 0.0608009 + 0.448850i
\(418\) 1.10889e11 − 8.18617e11i 0.177663 − 1.31156i
\(419\) −1.61773e11 − 4.46464e10i −0.256414 − 0.0707658i 0.135466 − 0.990782i \(-0.456747\pi\)
−0.391880 + 0.920016i \(0.628175\pi\)
\(420\) 1.73008e11 − 1.80952e11i 0.271297 − 0.283754i
\(421\) 1.33586e11 + 4.11135e11i 0.207248 + 0.637844i 0.999614 + 0.0277975i \(0.00884935\pi\)
−0.792365 + 0.610047i \(0.791151\pi\)
\(422\) 5.78745e11 + 5.20880e10i 0.888344 + 0.0799524i
\(423\) −3.32641e11 − 2.90620e11i −0.505178 − 0.441360i
\(424\) −6.06889e10 + 1.35134e12i −0.0911933 + 2.03058i
\(425\) 1.34353e11 0.199754
\(426\) 6.18941e11 + 1.15269e11i 0.910554 + 0.169578i
\(427\) −1.26366e11 −0.183951
\(428\) −5.53545e9 + 1.23256e11i −0.00797363 + 0.177547i
\(429\) 1.52762e11 + 1.33464e11i 0.217749 + 0.190242i
\(430\) 2.39119e10 + 2.15211e9i 0.0337291 + 0.00303568i
\(431\) 1.17406e11 + 3.61339e11i 0.163886 + 0.504391i 0.998953 − 0.0457590i \(-0.0145706\pi\)
−0.835066 + 0.550150i \(0.814571\pi\)
\(432\) 2.88151e11 − 3.01383e11i 0.398056 − 0.416334i
\(433\) 2.39134e11 + 6.59967e10i 0.326923 + 0.0902249i 0.425645 − 0.904890i \(-0.360047\pi\)
−0.0987227 + 0.995115i \(0.531476\pi\)
\(434\) 3.04811e11 − 2.25021e12i 0.412408 − 3.04452i
\(435\) −9.91064e8 − 7.31633e9i −0.00132709 − 0.00979696i
\(436\) 4.75240e11 − 1.31158e11i 0.629830 − 0.173822i
\(437\) −4.72652e11 + 8.78334e11i −0.619976 + 1.15211i
\(438\) 1.32253e11 + 1.38326e11i 0.171701 + 0.179585i
\(439\) 8.38968e10 + 1.55906e11i 0.107809 + 0.200343i 0.928784 − 0.370621i \(-0.120855\pi\)
−0.820975 + 0.570964i \(0.806570\pi\)
\(440\) 1.04976e11 − 3.23084e11i 0.133523 − 0.410940i
\(441\) 5.61695e10 − 1.31415e11i 0.0707175 − 0.165452i
\(442\) 1.86394e11 + 3.38255e10i 0.232291 + 0.0421545i
\(443\) −1.22414e12 − 8.89388e11i −1.51013 − 1.09717i −0.966121 − 0.258091i \(-0.916906\pi\)
−0.544007 − 0.839081i \(-0.683094\pi\)
\(444\) −5.13952e11 + 4.62565e10i −0.627623 + 0.0564871i
\(445\) 9.90273e10 + 2.31686e11i 0.119711 + 0.280078i
\(446\) 2.03543e11 + 8.91779e11i 0.243584 + 1.06721i
\(447\) 4.01840e11 + 6.08762e11i 0.476069 + 0.721213i
\(448\) −1.09151e12 − 6.52149e11i −1.28020 − 0.764884i
\(449\) 2.53598e11 + 3.18001e11i 0.294467 + 0.369250i 0.906953 − 0.421231i \(-0.138402\pi\)
−0.612486 + 0.790481i \(0.709831\pi\)
\(450\) 6.85953e11 − 5.99299e11i 0.788566 − 0.688950i
\(451\) 4.99865e11 − 3.63173e11i 0.568929 − 0.413351i
\(452\) 2.58807e11 − 1.24635e11i 0.291644 − 0.140448i
\(453\) −2.79317e11 + 4.23147e11i −0.311642 + 0.472117i
\(454\) −1.31473e12 − 4.93427e11i −1.45240 − 0.545094i
\(455\) 1.85804e11 − 1.11013e11i 0.203238 − 0.121429i
\(456\) 6.08506e11 + 2.93041e11i 0.659058 + 0.317385i
\(457\) −5.09393e11 + 9.24411e10i −0.546298 + 0.0991385i −0.444688 − 0.895686i \(-0.646685\pi\)
−0.101611 + 0.994824i \(0.532400\pi\)
\(458\) 3.90430e11 − 1.71059e12i 0.414619 − 1.81656i
\(459\) 1.87495e11 − 7.03680e10i 0.197166 − 0.0739977i
\(460\) −5.50647e11 + 6.90490e11i −0.573408 + 0.719030i
\(461\) −7.71713e10 − 1.71835e12i −0.0795795 − 1.77198i −0.501322 − 0.865261i \(-0.667153\pi\)
0.421743 − 0.906716i \(-0.361419\pi\)
\(462\) 3.91505e10 + 8.71753e11i 0.0399805 + 0.890235i
\(463\) −9.77636e11 + 1.22592e12i −0.988696 + 1.23979i −0.0179099 + 0.999840i \(0.505701\pi\)
−0.970786 + 0.239946i \(0.922870\pi\)
\(464\) 3.05090e10 − 1.14502e10i 0.0305560 − 0.0114679i
\(465\) 6.80996e10 − 2.98364e11i 0.0675470 − 0.295943i
\(466\) 2.32867e12 − 4.22592e11i 2.28756 − 0.415130i
\(467\) −8.75363e11 − 4.21553e11i −0.851653 − 0.410134i −0.0434618 − 0.999055i \(-0.513839\pi\)
−0.808191 + 0.588921i \(0.799553\pi\)
\(468\) 7.18001e11 − 4.28985e11i 0.691861 − 0.413367i
\(469\) −1.26095e12 − 4.73244e11i −1.20343 − 0.451656i
\(470\) 3.23884e11 − 4.90663e11i 0.306160 − 0.463813i
\(471\) 4.33191e10 − 2.08614e10i 0.0405588 − 0.0195321i
\(472\) −1.19490e12 + 8.68149e11i −1.10814 + 0.805110i
\(473\) −4.10406e10 + 3.58561e10i −0.0376998 + 0.0329373i
\(474\) 1.00779e12 + 1.26373e12i 0.917000 + 1.14988i
\(475\) 7.65457e11 + 4.57339e11i 0.689922 + 0.412209i
\(476\) 2.92362e11 + 4.42910e11i 0.261030 + 0.395444i
\(477\) 2.44075e11 + 1.06936e12i 0.215869 + 0.945786i
\(478\) 7.67642e11 + 1.79599e12i 0.672563 + 1.57354i
\(479\) −4.36799e11 + 3.93126e10i −0.379116 + 0.0341210i −0.277559 − 0.960709i \(-0.589525\pi\)
−0.101557 + 0.994830i \(0.532382\pi\)
\(480\) −7.41107e10 − 5.38446e10i −0.0637229 − 0.0462974i
\(481\) −4.38966e11 − 7.96606e10i −0.373919 − 0.0678564i
\(482\) 4.66130e11 − 1.09057e12i 0.393365 − 0.920322i
\(483\) 3.25587e11 − 1.00205e12i 0.272211 − 0.837779i
\(484\) −2.81388e11 − 5.22906e11i −0.233078 − 0.433132i
\(485\) −4.44297e11 − 4.64698e11i −0.364616 − 0.381358i
\(486\) 1.02168e12 − 1.89860e12i 0.830714 − 1.54373i
\(487\) 1.30063e12 − 3.58952e11i 1.04779 − 0.289172i 0.300579 − 0.953757i \(-0.402820\pi\)
0.747213 + 0.664585i \(0.231391\pi\)
\(488\) −4.05188e10 − 2.99122e11i −0.0323420 − 0.238758i
\(489\) 4.00627e10 − 2.95755e11i 0.0316848 − 0.233906i
\(490\) 1.83366e11 + 5.06059e10i 0.143694 + 0.0396569i
\(491\) 8.36945e11 − 8.75376e11i 0.649876 − 0.679717i −0.312972 − 0.949762i \(-0.601325\pi\)
0.962847 + 0.270046i \(0.0870388\pi\)
\(492\) 3.36112e11 + 1.03445e12i 0.258608 + 0.795912i
\(493\) 1.55881e10 + 1.40295e9i 0.0118845 + 0.00106962i
\(494\) 9.46814e11 + 8.27207e11i 0.715309 + 0.624946i
\(495\) 1.23585e10 − 2.75183e11i 0.00925214 − 0.206015i
\(496\) 1.35075e12 1.00209
\(497\) 4.64520e11 + 1.45238e12i 0.341508 + 1.06777i
\(498\) 4.31211e11 0.314165
\(499\) −3.80611e10 + 8.47496e11i −0.0274808 + 0.611907i 0.937248 + 0.348662i \(0.113364\pi\)
−0.964729 + 0.263244i \(0.915207\pi\)
\(500\) 1.26835e12 + 1.10813e12i 0.907560 + 0.792912i
\(501\) −1.95257e11 − 1.75734e10i −0.138464 − 0.0124620i
\(502\) −1.21458e10 − 3.73809e10i −0.00853610 − 0.0262714i
\(503\) −1.56941e12 + 1.64148e12i −1.09315 + 1.14335i −0.104287 + 0.994547i \(0.533256\pi\)
−0.988867 + 0.148802i \(0.952458\pi\)
\(504\) 1.61081e12 + 4.44554e11i 1.11200 + 0.306893i
\(505\) 1.50303e10 − 1.10958e11i 0.0102839 − 0.0759184i
\(506\) −4.13225e11 − 3.05055e12i −0.280227 − 2.06872i
\(507\) 4.86872e11 − 1.34368e11i 0.327250 − 0.0903151i
\(508\) −2.22732e12 + 4.13905e12i −1.48387 + 2.75749i
\(509\) 7.66117e11 + 8.01296e11i 0.505901 + 0.529131i 0.925585 − 0.378539i \(-0.123574\pi\)
−0.419685 + 0.907670i \(0.637859\pi\)
\(510\) 5.20453e10 + 9.67164e10i 0.0340656 + 0.0633044i
\(511\) −1.43234e11 + 4.40829e11i −0.0929292 + 0.286007i
\(512\) 7.14498e11 − 1.67165e12i 0.459501 − 1.07506i
\(513\) 1.30776e12 + 2.37324e11i 0.833684 + 0.151291i
\(514\) −1.72949e12 − 1.25655e12i −1.09291 − 0.794045i
\(515\) −5.23373e11 + 4.71044e10i −0.327853 + 0.0295073i
\(516\) −3.77055e10 − 8.82164e10i −0.0234143 − 0.0547805i
\(517\) 2.96963e11 + 1.30108e12i 0.182808 + 0.800933i
\(518\) −1.05728e12 − 1.60171e12i −0.645218 − 0.977464i
\(519\) 4.85922e11 + 2.90325e11i 0.293977 + 0.175643i
\(520\) 3.22358e11 + 4.04224e11i 0.193341 + 0.242442i
\(521\) 9.10383e11 − 7.95378e11i 0.541320 − 0.472937i −0.343315 − 0.939220i \(-0.611550\pi\)
0.884636 + 0.466283i \(0.154407\pi\)
\(522\) 8.58448e10 − 6.23699e10i 0.0506054 − 0.0367670i
\(523\) 1.17884e11 − 5.67702e10i 0.0688968 − 0.0331789i −0.399118 − 0.916900i \(-0.630684\pi\)
0.468015 + 0.883721i \(0.344969\pi\)
\(524\) −1.05158e12 + 1.59308e12i −0.609330 + 0.923096i
\(525\) −8.81847e11 − 3.30963e11i −0.506613 − 0.190135i
\(526\) −4.82997e12 + 2.88578e12i −2.75112 + 1.64372i
\(527\) 5.84502e11 + 2.81481e11i 0.330094 + 0.158965i
\(528\) −5.10739e11 + 9.26854e10i −0.285987 + 0.0518990i
\(529\) −4.26293e11 + 1.86771e12i −0.236678 + 1.03695i
\(530\) −1.36684e12 + 5.12983e11i −0.752446 + 0.282398i
\(531\) −7.46715e11 + 9.36351e11i −0.407595 + 0.511109i
\(532\) 1.58022e11 + 3.51864e12i 0.0855294 + 1.90446i
\(533\) 4.21891e10 + 9.39414e11i 0.0226427 + 0.504179i
\(534\) 9.63947e11 − 1.20875e12i 0.513000 − 0.643282i
\(535\) −5.79002e10 + 2.17303e10i −0.0305554 + 0.0114676i
\(536\) 7.15901e11 − 3.13657e12i 0.374638 − 1.64139i
\(537\) −7.92763e11 + 1.43865e11i −0.411395 + 0.0746572i
\(538\) 2.55033e12 + 1.22818e12i 1.31243 + 0.632034i
\(539\) −3.70669e11 + 2.21465e11i −0.189163 + 0.113020i
\(540\) 1.10182e12 + 4.13521e11i 0.557621 + 0.209279i
\(541\) 1.68328e12 − 2.55006e12i 0.844828 − 1.27986i −0.113311 − 0.993560i \(-0.536146\pi\)
0.958140 − 0.286301i \(-0.0924257\pi\)
\(542\) −2.02913e12 + 9.77177e11i −1.00998 + 0.486381i
\(543\) −8.73378e11 + 6.34546e11i −0.431125 + 0.313230i
\(544\) 1.46239e11 − 1.27765e11i 0.0715924 − 0.0625484i
\(545\) 1.54074e11 + 1.93203e11i 0.0748076 + 0.0938058i
\(546\) −1.14010e12 − 6.81181e11i −0.549007 − 0.328016i
\(547\) −5.37985e9 − 8.15012e9i −0.00256937 − 0.00389243i 0.833286 − 0.552842i \(-0.186457\pi\)
−0.835856 + 0.548949i \(0.815028\pi\)
\(548\) −8.12007e11 − 3.55763e12i −0.384634 − 1.68519i
\(549\) −9.61980e10 − 2.25066e11i −0.0451950 − 0.105739i
\(550\) −2.74093e12 + 2.46688e11i −1.27722 + 0.114952i
\(551\) 8.40354e10 + 6.10553e10i 0.0388401 + 0.0282190i
\(552\) 2.47638e12 + 4.49396e11i 1.13525 + 0.206017i
\(553\) −1.53865e12 + 3.59984e12i −0.699642 + 1.63689i
\(554\) 1.01658e12 − 3.12873e12i 0.458511 − 1.41115i
\(555\) −1.22569e11 − 2.27771e11i −0.0548355 − 0.101901i
\(556\) −2.40771e12 − 2.51826e12i −1.06848 − 1.11754i
\(557\) 8.32084e11 − 1.54627e12i 0.366285 − 0.680671i −0.629028 − 0.777383i \(-0.716547\pi\)
0.995312 + 0.0967120i \(0.0308326\pi\)
\(558\) 4.23983e12 − 1.17012e12i 1.85138 − 0.510948i
\(559\) −1.11336e10 − 8.21918e10i −0.00482263 − 0.0356021i
\(560\) −7.43461e10 + 5.48845e11i −0.0319457 + 0.235832i
\(561\) −2.40324e11 − 6.63251e10i −0.102439 − 0.0282712i
\(562\) −2.64042e12 + 2.76167e12i −1.11650 + 1.16777i
\(563\) −4.22294e11 − 1.29969e12i −0.177144 − 0.545194i 0.822581 − 0.568649i \(-0.192534\pi\)
−0.999725 + 0.0234543i \(0.992534\pi\)
\(564\) −2.33984e12 − 2.10589e11i −0.973711 − 0.0876356i
\(565\) 1.08430e11 + 9.47327e10i 0.0447644 + 0.0391095i
\(566\) 2.14472e11 − 4.77558e12i 0.0878407 − 1.95592i
\(567\) 5.29484e11 0.215144
\(568\) −3.28900e12 + 1.56527e12i −1.32586 + 0.630991i
\(569\) −2.94539e12 −1.17798 −0.588990 − 0.808140i \(-0.700474\pi\)
−0.588990 + 0.808140i \(0.700474\pi\)
\(570\) −3.27032e10 + 7.28193e11i −0.0129764 + 0.288941i
\(571\) −1.16647e12 − 1.01912e12i −0.459211 − 0.401200i 0.397007 − 0.917816i \(-0.370049\pi\)
−0.856218 + 0.516615i \(0.827192\pi\)
\(572\) −2.51681e12 − 2.26517e11i −0.983033 − 0.0884746i
\(573\) −5.95499e11 − 1.83276e12i −0.230773 − 0.710246i
\(574\) −2.79554e12 + 2.92390e12i −1.07488 + 1.12424i
\(575\) 3.20305e12 + 8.83987e11i 1.22197 + 0.337241i
\(576\) 3.30592e11 − 2.44053e12i 0.125138 − 0.923809i
\(577\) −5.79522e11 − 4.27820e12i −0.217660 − 1.60683i −0.688920 − 0.724837i \(-0.741915\pi\)
0.471260 − 0.881994i \(-0.343799\pi\)
\(578\) 4.15545e12 − 1.14683e12i 1.54861 − 0.427389i
\(579\) 2.63155e11 − 4.89023e11i 0.0973100 − 0.180832i
\(580\) 6.35599e10 + 6.64784e10i 0.0233215 + 0.0243924i
\(581\) 4.94908e11 + 9.19692e11i 0.180190 + 0.334850i
\(582\) −1.21907e12 + 3.75190e12i −0.440427 + 1.35550i
\(583\) 1.30246e12 − 3.04726e12i 0.466935 − 1.09245i
\(584\) −1.08942e12 − 1.97701e11i −0.387559 − 0.0703315i
\(585\) 3.39169e11 + 2.46421e11i 0.119733 + 0.0869913i
\(586\) 6.39645e11 − 5.75691e10i 0.224078 − 0.0201674i
\(587\) 9.62183e10 + 2.25114e11i 0.0334493 + 0.0782584i 0.935419 − 0.353540i \(-0.115022\pi\)
−0.901970 + 0.431798i \(0.857879\pi\)
\(588\) −1.69141e11 − 7.41057e11i −0.0583515 − 0.255654i
\(589\) 2.37196e12 + 3.59336e12i 0.812060 + 1.23022i
\(590\) −1.36842e12 − 8.17592e11i −0.464927 − 0.277781i
\(591\) −6.70791e11 − 8.41145e11i −0.226174 − 0.283614i
\(592\) 8.59725e11 − 7.51119e11i 0.287682 − 0.251340i
\(593\) 4.12135e11 − 2.99434e11i 0.136865 − 0.0994386i −0.517246 − 0.855837i \(-0.673043\pi\)
0.654111 + 0.756398i \(0.273043\pi\)
\(594\) −3.69589e12 + 1.77985e12i −1.21809 + 0.586602i
\(595\) −1.46545e11 + 2.22006e11i −0.0479340 + 0.0726169i
\(596\) −8.50731e12 − 3.19285e12i −2.76175 − 1.03650i
\(597\) −1.22136e12 + 7.29730e11i −0.393514 + 0.235114i
\(598\) 4.22120e12 + 2.03282e12i 1.34983 + 0.650046i
\(599\) 4.52778e12 − 8.21670e11i 1.43702 − 0.260782i 0.596525 − 0.802594i \(-0.296548\pi\)
0.840499 + 0.541813i \(0.182262\pi\)
\(600\) 5.00665e11 − 2.19355e12i 0.157713 − 0.690984i
\(601\) 2.35095e12 − 8.82326e11i 0.735035 − 0.275863i 0.0443473 − 0.999016i \(-0.485879\pi\)
0.690688 + 0.723153i \(0.257308\pi\)
\(602\) 2.22464e11 − 2.78961e11i 0.0690360 − 0.0865684i
\(603\) −1.17041e11 − 2.60612e12i −0.0360504 − 0.802724i
\(604\) −2.83372e11 − 6.30977e12i −0.0866346 − 1.92907i
\(605\) 1.85577e11 − 2.32707e11i 0.0563152 − 0.0706171i
\(606\) −6.43251e11 + 2.41416e11i −0.193755 + 0.0727176i
\(607\) −7.02459e10 + 3.07767e11i −0.0210025 + 0.0920182i −0.984343 − 0.176264i \(-0.943599\pi\)
0.963340 + 0.268282i \(0.0864559\pi\)
\(608\) 1.26809e12 − 2.30125e11i 0.376343 − 0.0682963i
\(609\) −9.88590e10 − 4.76080e10i −0.0291232 − 0.0140250i
\(610\) 2.79666e11 − 1.67093e11i 0.0817815 − 0.0488622i
\(611\) −1.90158e12 − 7.13676e11i −0.551988 − 0.207165i
\(612\) −5.66290e11 + 8.57893e11i −0.163176 + 0.247202i
\(613\) 1.01365e12 − 4.88146e11i 0.289944 − 0.139630i −0.283258 − 0.959044i \(-0.591415\pi\)
0.573202 + 0.819414i \(0.305701\pi\)
\(614\) 7.08145e12 − 5.14498e12i 2.01078 − 1.46092i
\(615\) −4.10569e11 + 3.58703e11i −0.115731 + 0.101111i
\(616\) −3.14778e12 − 3.94719e12i −0.880827 − 1.10452i
\(617\) 6.17481e11 + 3.68928e11i 0.171530 + 0.102484i 0.596098 − 0.802912i \(-0.296717\pi\)
−0.424568 + 0.905396i \(0.639574\pi\)
\(618\) 1.77633e12 + 2.69102e12i 0.489863 + 0.742110i
\(619\) −1.41790e12 − 6.21223e12i −0.388184 − 1.70075i −0.670905 − 0.741543i \(-0.734094\pi\)
0.282721 − 0.959202i \(-0.408763\pi\)
\(620\) 1.49837e12 + 3.50560e12i 0.407245 + 0.952796i
\(621\) 4.93300e12 − 4.43978e11i 1.33106 − 0.119798i
\(622\) 9.76232e12 + 7.09274e12i 2.61515 + 1.90002i
\(623\) 3.68437e12 + 6.68615e11i 0.979868 + 0.177820i
\(624\) 3.10495e11 − 7.26438e11i 0.0819829 − 0.191809i
\(625\) 7.79345e11 − 2.39858e12i 0.204301 − 0.628773i
\(626\) 2.11263e12 + 3.92592e12i 0.549843 + 1.02178i
\(627\) −1.14344e12 − 1.19595e12i −0.295468 − 0.309035i
\(628\) −2.83826e11 + 5.27437e11i −0.0728171 + 0.135317i
\(629\) 5.28549e11 − 1.45870e11i 0.134635 − 0.0371568i
\(630\) 2.42087e11 + 1.78716e12i 0.0612265 + 0.451992i
\(631\) 3.89954e11 − 2.87875e12i 0.0979221 − 0.722890i −0.873719 − 0.486431i \(-0.838299\pi\)
0.971641 − 0.236460i \(-0.0759871\pi\)
\(632\) −9.01460e12 − 2.48787e12i −2.24760 − 0.620299i
\(633\) 8.04311e11 − 8.41243e11i 0.199116 − 0.208259i
\(634\) 2.29445e12 + 7.06159e12i 0.563997 + 1.73580i
\(635\) −2.34650e12 − 2.11189e11i −0.572716 − 0.0515453i
\(636\) 4.39327e12 + 3.83828e12i 1.06471 + 0.930207i
\(637\) 2.94834e10 − 6.56499e11i 0.00709496 − 0.157982i
\(638\) −3.20589e11 −0.0766046
\(639\) −2.23317e12 + 1.93300e12i −0.529869 + 0.458645i
\(640\) 2.66684e12 0.628329
\(641\) −4.85731e10 + 1.08156e12i −0.0113641 + 0.253041i 0.985267 + 0.171024i \(0.0547076\pi\)
−0.996631 + 0.0820170i \(0.973864\pi\)
\(642\) 2.85773e11 + 2.49672e11i 0.0663916 + 0.0580046i
\(643\) −2.33461e12 − 2.10118e11i −0.538597 − 0.0484746i −0.182998 − 0.983113i \(-0.558580\pi\)
−0.355599 + 0.934639i \(0.615723\pi\)
\(644\) 4.05594e12 + 1.24829e13i 0.929192 + 2.85976i
\(645\) 3.32315e10 − 3.47574e10i 0.00756017 − 0.00790731i
\(646\) −1.48952e12 − 4.11082e11i −0.336512 − 0.0928714i
\(647\) 5.33866e11 − 3.94116e12i 0.119774 − 0.884208i −0.826976 − 0.562238i \(-0.809941\pi\)
0.946750 − 0.321970i \(-0.104345\pi\)
\(648\) 1.69778e11 + 1.25335e12i 0.0378262 + 0.279245i
\(649\) 3.48801e12 − 9.62628e11i 0.771749 − 0.212989i
\(650\) 1.98476e12 − 3.68829e12i 0.436111 − 0.810430i
\(651\) −3.14308e12 − 3.28741e12i −0.685870 − 0.717363i
\(652\) 1.76182e12 + 3.27401e12i 0.381811 + 0.709523i
\(653\) −1.75358e12 + 5.39696e12i −0.377413 + 1.16156i 0.564424 + 0.825485i \(0.309098\pi\)
−0.941837 + 0.336071i \(0.890902\pi\)
\(654\) 5.95950e11 − 1.39429e12i 0.127383 − 0.298026i
\(655\) −9.41424e11 − 1.70843e11i −0.199848 − 0.0362670i
\(656\) −1.94674e12 − 1.41439e12i −0.410432 − 0.298196i
\(657\) −8.94189e11 + 8.04784e10i −0.187234 + 0.0168514i
\(658\) −3.43403e12 − 8.03431e12i −0.714147 − 1.67083i
\(659\) 1.42354e12 + 6.23695e12i 0.294026 + 1.28821i 0.878867 + 0.477066i \(0.158300\pi\)
−0.584841 + 0.811148i \(0.698843\pi\)
\(660\) −8.07101e11 − 1.22271e12i −0.165570 − 0.250827i
\(661\) −7.21892e12 − 4.31310e12i −1.47084 − 0.878786i −0.470846 − 0.882215i \(-0.656051\pi\)
−0.999994 + 0.00342906i \(0.998908\pi\)
\(662\) 3.65613e12 + 4.58464e12i 0.739878 + 0.927778i
\(663\) 2.85740e11 − 2.49644e11i 0.0574329 − 0.0501776i
\(664\) −2.01833e12 + 1.46640e12i −0.402935 + 0.292749i
\(665\) −1.59063e12 + 7.66008e11i −0.315408 + 0.151892i
\(666\) 2.04790e12 − 3.10243e12i 0.403342 − 0.611037i
\(667\) 3.62399e11 + 1.36011e11i 0.0708958 + 0.0266076i
\(668\) 2.09651e12 − 1.25261e12i 0.407383 − 0.243400i
\(669\) 1.65068e12 + 7.94924e11i 0.318599 + 0.153429i
\(670\) 3.41645e12 − 6.19994e11i 0.654996 − 0.118864i
\(671\) −1.64554e11 + 7.20958e11i −0.0313370 + 0.137296i
\(672\) −1.27460e12 + 4.78364e11i −0.241108 + 0.0904893i
\(673\) −1.22188e12 + 1.53219e12i −0.229594 + 0.287901i −0.883262 − 0.468880i \(-0.844658\pi\)
0.653668 + 0.756781i \(0.273229\pi\)
\(674\) 4.56008e11 + 1.01538e13i 0.0851143 + 1.89522i
\(675\) −1.98652e11 − 4.42332e12i −0.0368320 − 0.820128i
\(676\) −3.92291e12 + 4.91917e12i −0.722517 + 0.906007i
\(677\) −2.74029e11 + 1.02845e11i −0.0501357 + 0.0188162i −0.376317 − 0.926491i \(-0.622810\pi\)
0.326181 + 0.945307i \(0.394238\pi\)
\(678\) 1.96596e11 − 8.61343e11i 0.0357307 − 0.156546i
\(679\) −9.40124e12 + 1.70607e12i −1.69735 + 0.308023i
\(680\) −5.72502e11 − 2.75702e11i −0.102680 − 0.0494482i
\(681\) −2.41454e12 + 1.44262e12i −0.430201 + 0.257033i
\(682\) −1.24413e13 − 4.66929e12i −2.20209 − 0.826458i
\(683\) 4.03042e12 − 6.10583e12i 0.708692 − 1.07362i −0.284674 − 0.958624i \(-0.591885\pi\)
0.993366 − 0.114997i \(-0.0366860\pi\)
\(684\) −6.14666e12 + 2.96007e12i −1.07371 + 0.517071i
\(685\) 1.47977e12 − 1.07512e12i 0.256795 − 0.186573i
\(686\) −6.16282e12 + 5.38429e12i −1.06248 + 0.928261i
\(687\) −2.19114e12 − 2.74760e12i −0.375287 − 0.470596i
\(688\) 1.82200e11 + 1.08859e11i 0.0310027 + 0.0185233i
\(689\) 2.77852e12 + 4.20929e12i 0.469708 + 0.711577i
\(690\) 6.04439e11 + 2.64822e12i 0.101515 + 0.444768i
\(691\) −2.71225e12 − 6.34563e12i −0.452563 − 1.05882i −0.978116 − 0.208063i \(-0.933284\pi\)
0.525552 − 0.850761i \(-0.323859\pi\)
\(692\) −7.02302e12 + 6.32084e11i −1.16425 + 0.104785i
\(693\) −3.31194e12 − 2.40626e12i −0.545485 − 0.396318i
\(694\) −1.49152e13 − 2.70671e12i −2.44068 − 0.442918i
\(695\) 6.86364e11 − 1.60583e12i 0.111589 − 0.261076i
\(696\) 8.09947e10 − 2.49276e11i 0.0130832 − 0.0402660i
\(697\) −5.47659e11 − 1.01772e12i −0.0878947 − 0.163336i
\(698\) 9.67279e12 + 1.01169e13i 1.54242 + 1.61324i
\(699\) 2.24631e12 − 4.17434e12i 0.355895 − 0.661364i
\(700\) 1.13108e13 − 3.12158e12i 1.78054 − 0.491398i
\(701\) 8.31678e11 + 6.13969e12i 0.130084 + 0.960319i 0.931892 + 0.362737i \(0.118158\pi\)
−0.801808 + 0.597582i \(0.796128\pi\)
\(702\) 8.38047e11 − 6.18671e12i 0.130242 − 0.961485i
\(703\) 3.50789e12 + 9.68116e11i 0.541685 + 0.149496i
\(704\) −5.14210e12 + 5.37822e12i −0.788976 + 0.825204i
\(705\) −3.63889e11 − 1.11993e12i −0.0554776 − 0.170742i
\(706\) 1.18504e13 + 1.06656e12i 1.79520 + 0.161571i
\(707\) −1.25316e12 − 1.09486e12i −0.188634 − 0.164805i
\(708\) −2.85779e11 + 6.36335e12i −0.0427445 + 0.951780i
\(709\) 1.21408e13 1.80443 0.902216 − 0.431284i \(-0.141939\pi\)
0.902216 + 0.431284i \(0.141939\pi\)
\(710\) −2.94853e12 − 2.60010e12i −0.435454 − 0.383997i
\(711\) −7.58291e12 −1.11281
\(712\) −4.01304e11 + 8.93572e12i −0.0585212 + 1.30308i
\(713\) 1.20829e13 + 1.05565e13i 1.75092 + 1.52974i
\(714\) 1.62569e12 + 1.46314e11i 0.234096 + 0.0210691i
\(715\) −3.91411e11 − 1.20464e12i −0.0560087 − 0.172377i
\(716\) 6.93619e12 − 7.25468e12i 0.986307 − 1.03160i
\(717\) 3.77108e12 + 1.04075e12i 0.532880 + 0.147066i
\(718\) −1.47270e12 + 1.08719e13i −0.206801 + 1.52667i
\(719\) −7.75100e11 − 5.72202e12i −0.108163 − 0.798489i −0.961046 − 0.276388i \(-0.910863\pi\)
0.852883 − 0.522101i \(-0.174852\pi\)
\(720\) −1.03413e12 + 2.85402e11i −0.143410 + 0.0395786i
\(721\) −3.70072e12 + 6.87709e12i −0.510008 + 0.947754i
\(722\) 1.45696e12 + 1.52386e12i 0.199540 + 0.208703i
\(723\) −1.12567e12 − 2.09185e12i −0.153211 − 0.284714i
\(724\) 4.15576e12 − 1.27901e13i 0.562118 − 1.73002i
\(725\) 1.36002e11 − 3.18193e11i 0.0182820 − 0.0427729i
\(726\) −1.79700e12 − 3.26108e11i −0.240068 − 0.0435659i
\(727\) 9.53405e12 + 6.92689e12i 1.26582 + 0.919673i 0.999028 − 0.0440802i \(-0.0140357\pi\)
0.266794 + 0.963754i \(0.414036\pi\)
\(728\) 7.65283e12 − 6.88767e11i 1.00979 − 0.0908827i
\(729\) −1.12207e12 − 2.62522e12i −0.147145 − 0.344264i
\(730\) −2.65908e11 − 1.16502e12i −0.0346560 − 0.151838i
\(731\) 5.61572e10 + 8.50745e10i 0.00727407 + 0.0110197i
\(732\) −1.11753e12 − 6.67692e11i −0.143866 − 0.0859560i
\(733\) 6.26612e12 + 7.85747e12i 0.801735 + 1.00534i 0.999684 + 0.0251318i \(0.00800056\pi\)
−0.197949 + 0.980212i \(0.563428\pi\)
\(734\) −5.77971e12 + 5.04958e12i −0.734977 + 0.642130i
\(735\) 3.08237e11 − 2.23947e11i 0.0389575 − 0.0283043i
\(736\) 4.32707e12 − 2.08380e12i 0.543555 − 0.261762i
\(737\) −4.34204e12 + 6.57791e12i −0.542113 + 0.821267i
\(738\) −7.33584e12 − 2.75319e12i −0.910324 − 0.341650i
\(739\) −1.02592e13 + 6.12956e12i −1.26535 + 0.756013i −0.979342 − 0.202213i \(-0.935187\pi\)
−0.286011 + 0.958226i \(0.592329\pi\)
\(740\) 2.90306e12 + 1.39804e12i 0.355888 + 0.171387i
\(741\) 2.47776e12 − 4.49648e11i 0.301910 − 0.0547887i
\(742\) −4.82801e12 + 2.11529e13i −0.584723 + 2.56184i
\(743\) −1.37145e13 + 5.14714e12i −1.65094 + 0.619607i −0.991258 − 0.131941i \(-0.957879\pi\)
−0.659679 + 0.751548i \(0.729308\pi\)
\(744\) 6.77385e12 − 8.49414e12i 0.810508 − 1.01634i
\(745\) −2.04344e11 − 4.55007e12i −0.0243029 − 0.541146i
\(746\) 3.82481e11 + 8.51660e12i 0.0452153 + 1.00680i
\(747\) −1.26128e12 + 1.58160e12i −0.148207 + 0.185846i
\(748\) 2.90767e12 − 1.09127e12i 0.339616 − 0.127460i
\(749\) −2.04518e11 + 8.96051e11i −0.0237445 + 0.104031i
\(750\) 5.09689e12 − 9.24950e11i 0.588207 − 0.106744i
\(751\) −1.48740e13 − 7.16292e12i −1.70627 − 0.821695i −0.992631 − 0.121177i \(-0.961333\pi\)
−0.713635 − 0.700517i \(-0.752953\pi\)
\(752\) 4.46171e12 − 2.66575e12i