Properties

Label 54.9.f.a.5.14
Level $54$
Weight $9$
Character 54.5
Analytic conductor $21.998$
Analytic rank $0$
Dimension $144$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [54,9,Mod(5,54)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(54, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([5]))
 
N = Newforms(chi, 9, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("54.5");
 
S:= CuspForms(chi, 9);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 54 = 2 \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 54.f (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(21.9984449433\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 5.14
Character \(\chi\) \(=\) 54.5
Dual form 54.9.f.a.11.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(7.27231 + 8.66680i) q^{2} +(-76.9844 - 25.1872i) q^{3} +(-22.2270 + 126.055i) q^{4} +(421.201 + 1157.24i) q^{5} +(-341.562 - 850.378i) q^{6} +(-165.220 - 937.012i) q^{7} +(-1254.14 + 724.077i) q^{8} +(5292.21 + 3878.04i) q^{9} +O(q^{10})\) \(q+(7.27231 + 8.66680i) q^{2} +(-76.9844 - 25.1872i) q^{3} +(-22.2270 + 126.055i) q^{4} +(421.201 + 1157.24i) q^{5} +(-341.562 - 850.378i) q^{6} +(-165.220 - 937.012i) q^{7} +(-1254.14 + 724.077i) q^{8} +(5292.21 + 3878.04i) q^{9} +(-6966.47 + 12066.3i) q^{10} +(-1207.92 + 3318.74i) q^{11} +(4886.11 - 9144.47i) q^{12} +(24431.3 + 20500.3i) q^{13} +(6919.36 - 8246.17i) q^{14} +(-3278.29 - 99698.4i) q^{15} +(-15395.9 - 5603.66i) q^{16} +(-82073.6 - 47385.2i) q^{17} +(4876.35 + 74068.9i) q^{18} +(49779.7 + 86221.0i) q^{19} +(-155238. + 27372.7i) q^{20} +(-10881.3 + 76296.8i) q^{21} +(-37547.2 + 13666.1i) q^{22} +(-473461. - 83483.9i) q^{23} +(114787. - 24154.5i) q^{24} +(-862560. + 723774. i) q^{25} +360826. i q^{26} +(-309741. - 431845. i) q^{27} +121788. q^{28} +(-247907. - 295444. i) q^{29} +(840226. - 753450. i) q^{30} +(136171. - 772263. i) q^{31} +(-63398.2 - 174185. i) q^{32} +(176581. - 225067. i) q^{33} +(-186187. - 1.05592e6i) q^{34} +(1.01476e6 - 585870. i) q^{35} +(-606478. + 580915. i) q^{36} +(-949984. + 1.64542e6i) q^{37} +(-385247. + 1.05846e6i) q^{38} +(-1.36448e6 - 2.19356e6i) q^{39} +(-1.36618e6 - 1.14636e6i) q^{40} +(960268. - 1.14440e6i) q^{41} +(-740381. + 460548. i) q^{42} +(1.96272e6 + 714370. i) q^{43} +(-391496. - 226030. i) q^{44} +(-2.25875e6 + 7.75780e6i) q^{45} +(-2.71962e6 - 4.71051e6i) q^{46} +(-1.52516e6 + 268926. i) q^{47} +(1.04411e6 + 819175. i) q^{48} +(4.56645e6 - 1.66205e6i) q^{49} +(-1.25456e7 - 2.21213e6i) q^{50} +(5.12489e6 + 5.71513e6i) q^{51} +(-3.12720e6 + 2.62404e6i) q^{52} +5.10302e6i q^{53} +(1.49018e6 - 5.82497e6i) q^{54} -4.34936e6 q^{55} +(885678. + 1.05551e6i) q^{56} +(-1.66060e6 - 7.89148e6i) q^{57} +(757698. - 4.29712e6i) q^{58} +(-6.95884e6 - 1.91193e7i) q^{59} +(1.26404e7 + 1.80275e6i) q^{60} +(4.65089e6 + 2.63765e7i) q^{61} +(7.68333e6 - 4.43597e6i) q^{62} +(2.75939e6 - 5.59960e6i) q^{63} +(1.04858e6 - 1.81619e6i) q^{64} +(-1.34333e7 + 3.69076e7i) q^{65} +(3.23476e6 - 106366. i) q^{66} +(1.26817e7 + 1.06412e7i) q^{67} +(7.79741e6 - 9.29259e6i) q^{68} +(3.43464e7 + 1.83521e7i) q^{69} +(1.24573e7 + 4.53407e6i) q^{70} +(-1.46311e7 - 8.44725e6i) q^{71} +(-9.44517e6 - 1.03164e6i) q^{72} +(-1.24468e7 - 2.15584e7i) q^{73} +(-2.11691e7 + 3.73269e6i) q^{74} +(8.46335e7 - 3.39938e7i) q^{75} +(-1.19751e7 + 4.35857e6i) q^{76} +(3.30927e6 + 583513. i) q^{77} +(9.08818e6 - 2.77780e7i) q^{78} +(2.32815e7 - 1.95355e7i) q^{79} -2.01771e7i q^{80} +(1.29683e7 + 4.10469e7i) q^{81} +1.69017e7 q^{82} +(4.57835e7 + 5.45626e7i) q^{83} +(-9.37576e6 - 3.06749e6i) q^{84} +(2.02666e7 - 1.14938e8i) q^{85} +(8.08217e6 + 2.22056e7i) q^{86} +(1.16436e7 + 2.89887e7i) q^{87} +(-888121. - 5.03678e6i) q^{88} +(-3.94896e7 + 2.27993e7i) q^{89} +(-8.36616e7 + 3.68410e7i) q^{90} +(1.51725e7 - 2.62795e7i) q^{91} +(2.10472e7 - 5.78267e7i) q^{92} +(-2.99342e7 + 5.60225e7i) q^{93} +(-1.34222e7 - 1.12625e7i) q^{94} +(-7.88111e7 + 9.39235e7i) q^{95} +(493441. + 1.50064e7i) q^{96} +(-9.43260e7 - 3.43319e7i) q^{97} +(4.76133e7 + 2.74896e7i) q^{98} +(-1.92628e7 + 1.28791e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q + 882 q^{5} + 768 q^{6} + 25908 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q + 882 q^{5} + 768 q^{6} + 25908 q^{9} - 45756 q^{11} - 21504 q^{12} + 94464 q^{14} - 70002 q^{15} - 182784 q^{18} - 225792 q^{20} - 2071668 q^{21} + 185472 q^{22} + 552996 q^{23} - 1015182 q^{25} - 4137588 q^{27} - 2856132 q^{29} - 861696 q^{30} - 1841490 q^{31} + 10547334 q^{33} - 661248 q^{34} - 12450834 q^{35} - 5104128 q^{36} + 14063616 q^{38} + 4239102 q^{39} - 15673536 q^{41} - 11028480 q^{42} - 4412520 q^{43} - 12558942 q^{45} + 15173838 q^{47} + 3440640 q^{48} - 11347488 q^{49} - 27744768 q^{50} - 3281850 q^{51} + 16379136 q^{54} + 12091392 q^{56} - 13553658 q^{57} - 86547168 q^{59} - 26125056 q^{60} - 34059456 q^{61} + 108329070 q^{63} + 150994944 q^{64} + 22190346 q^{65} + 152091648 q^{66} + 167100948 q^{67} + 13411584 q^{68} - 40190130 q^{69} - 118080000 q^{70} - 251437608 q^{71} - 60948480 q^{72} + 15265278 q^{73} + 41902848 q^{74} + 138868662 q^{75} + 67995648 q^{76} + 564911586 q^{77} + 201203712 q^{78} + 137535768 q^{79} - 23838948 q^{81} - 482857578 q^{83} - 128300544 q^{84} - 343215000 q^{85} - 46237824 q^{86} + 34353810 q^{87} + 47480832 q^{88} + 375969762 q^{89} + 452712960 q^{90} - 155093598 q^{91} + 97042176 q^{92} + 285095622 q^{93} - 70995456 q^{94} - 966996432 q^{95} - 88080384 q^{96} - 484917300 q^{97} - 234233856 q^{98} + 26756370 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/54\mathbb{Z}\right)^\times\).

\(n\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.27231 + 8.66680i 0.454519 + 0.541675i
\(3\) −76.9844 25.1872i −0.950425 0.310953i
\(4\) −22.2270 + 126.055i −0.0868241 + 0.492404i
\(5\) 421.201 + 1157.24i 0.673922 + 1.85159i 0.497990 + 0.867183i \(0.334072\pi\)
0.175932 + 0.984402i \(0.443706\pi\)
\(6\) −341.562 850.378i −0.263551 0.656156i
\(7\) −165.220 937.012i −0.0688132 0.390259i −0.999689 0.0249241i \(-0.992066\pi\)
0.930876 0.365335i \(-0.119046\pi\)
\(8\) −1254.14 + 724.077i −0.306186 + 0.176777i
\(9\) 5292.21 + 3878.04i 0.806616 + 0.591075i
\(10\) −6966.47 + 12066.3i −0.696647 + 1.20663i
\(11\) −1207.92 + 3318.74i −0.0825027 + 0.226674i −0.974084 0.226186i \(-0.927374\pi\)
0.891581 + 0.452860i \(0.149596\pi\)
\(12\) 4886.11 9144.47i 0.235634 0.440995i
\(13\) 24431.3 + 20500.3i 0.855407 + 0.717772i 0.960973 0.276640i \(-0.0892211\pi\)
−0.105566 + 0.994412i \(0.533666\pi\)
\(14\) 6919.36 8246.17i 0.180117 0.214655i
\(15\) −3278.29 99698.4i −0.0647564 1.96935i
\(16\) −15395.9 5603.66i −0.234923 0.0855050i
\(17\) −82073.6 47385.2i −0.982671 0.567345i −0.0795953 0.996827i \(-0.525363\pi\)
−0.903075 + 0.429482i \(0.858696\pi\)
\(18\) 4876.35 + 74068.9i 0.0464521 + 0.705579i
\(19\) 49779.7 + 86221.0i 0.381978 + 0.661605i 0.991345 0.131284i \(-0.0419098\pi\)
−0.609367 + 0.792888i \(0.708576\pi\)
\(20\) −155238. + 27372.7i −0.970240 + 0.171080i
\(21\) −10881.3 + 76296.8i −0.0559504 + 0.392310i
\(22\) −37547.2 + 13666.1i −0.160283 + 0.0583382i
\(23\) −473461. 83483.9i −1.69189 0.298326i −0.757041 0.653367i \(-0.773356\pi\)
−0.934851 + 0.355041i \(0.884467\pi\)
\(24\) 114787. 24154.5i 0.345976 0.0728035i
\(25\) −862560. + 723774.i −2.20815 + 1.85286i
\(26\) 360826.i 0.789594i
\(27\) −309741. 431845.i −0.582832 0.812593i
\(28\) 121788. 0.198140
\(29\) −247907. 295444.i −0.350507 0.417718i 0.561769 0.827294i \(-0.310121\pi\)
−0.912276 + 0.409576i \(0.865677\pi\)
\(30\) 840226. 753450.i 1.03732 0.930186i
\(31\) 136171. 772263.i 0.147447 0.836216i −0.817922 0.575329i \(-0.804874\pi\)
0.965369 0.260887i \(-0.0840150\pi\)
\(32\) −63398.2 174185.i −0.0604612 0.166116i
\(33\) 176581. 225067.i 0.148898 0.189782i
\(34\) −186187. 1.05592e6i −0.139326 0.790158i
\(35\) 1.01476e6 585870.i 0.676223 0.390418i
\(36\) −606478. + 580915.i −0.361081 + 0.345861i
\(37\) −949984. + 1.64542e6i −0.506885 + 0.877950i 0.493083 + 0.869982i \(0.335870\pi\)
−0.999968 + 0.00796821i \(0.997464\pi\)
\(38\) −385247. + 1.05846e6i −0.184759 + 0.507620i
\(39\) −1.36448e6 2.19356e6i −0.589807 0.948180i
\(40\) −1.36618e6 1.14636e6i −0.533663 0.447796i
\(41\) 960268. 1.14440e6i 0.339826 0.404989i −0.568883 0.822418i \(-0.692624\pi\)
0.908709 + 0.417429i \(0.137069\pi\)
\(42\) −740381. + 460548.i −0.237935 + 0.148005i
\(43\) 1.96272e6 + 714370.i 0.574095 + 0.208953i 0.612720 0.790300i \(-0.290076\pi\)
−0.0386249 + 0.999254i \(0.512298\pi\)
\(44\) −391496. 226030.i −0.104452 0.0603054i
\(45\) −2.25875e6 + 7.75780e6i −0.550830 + 1.89186i
\(46\) −2.71962e6 4.71051e6i −0.607402 1.05205i
\(47\) −1.52516e6 + 268926.i −0.312553 + 0.0551115i −0.327724 0.944773i \(-0.606282\pi\)
0.0151715 + 0.999885i \(0.495171\pi\)
\(48\) 1.04411e6 + 819175.i 0.196689 + 0.154316i
\(49\) 4.56645e6 1.66205e6i 0.792126 0.288310i
\(50\) −1.25456e7 2.21213e6i −2.00730 0.353941i
\(51\) 5.12489e6 + 5.71513e6i 0.757537 + 0.844784i
\(52\) −3.12720e6 + 2.62404e6i −0.427704 + 0.358886i
\(53\) 5.10302e6i 0.646732i 0.946274 + 0.323366i \(0.104814\pi\)
−0.946274 + 0.323366i \(0.895186\pi\)
\(54\) 1.49018e6 5.82497e6i 0.175253 0.685045i
\(55\) −4.34936e6 −0.475307
\(56\) 885678. + 1.05551e6i 0.0900583 + 0.107327i
\(57\) −1.66060e6 7.89148e6i −0.157313 0.747583i
\(58\) 757698. 4.29712e6i 0.0669552 0.379722i
\(59\) −6.95884e6 1.91193e7i −0.574287 1.57784i −0.797660 0.603108i \(-0.793929\pi\)
0.223373 0.974733i \(-0.428293\pi\)
\(60\) 1.26404e7 + 1.80275e6i 0.975339 + 0.139101i
\(61\) 4.65089e6 + 2.63765e7i 0.335905 + 1.90501i 0.418107 + 0.908398i \(0.362694\pi\)
−0.0822014 + 0.996616i \(0.526195\pi\)
\(62\) 7.68333e6 4.43597e6i 0.519975 0.300208i
\(63\) 2.75939e6 5.59960e6i 0.175167 0.355463i
\(64\) 1.04858e6 1.81619e6i 0.0625000 0.108253i
\(65\) −1.34333e7 + 3.69076e7i −0.752538 + 2.06758i
\(66\) 3.23476e6 106366.i 0.170477 0.00560565i
\(67\) 1.26817e7 + 1.06412e7i 0.629327 + 0.528068i 0.900720 0.434400i \(-0.143040\pi\)
−0.271392 + 0.962469i \(0.587484\pi\)
\(68\) 7.79741e6 9.29259e6i 0.364682 0.434612i
\(69\) 3.43464e7 + 1.83521e7i 1.51525 + 0.809636i
\(70\) 1.24573e7 + 4.53407e6i 0.518836 + 0.188841i
\(71\) −1.46311e7 8.44725e6i −0.575762 0.332416i 0.183686 0.982985i \(-0.441197\pi\)
−0.759447 + 0.650569i \(0.774531\pi\)
\(72\) −9.44517e6 1.03164e6i −0.351463 0.0383881i
\(73\) −1.24468e7 2.15584e7i −0.438293 0.759146i 0.559265 0.828989i \(-0.311084\pi\)
−0.997558 + 0.0698430i \(0.977750\pi\)
\(74\) −2.11691e7 + 3.73269e6i −0.705953 + 0.124479i
\(75\) 8.46335e7 3.39938e7i 2.67484 1.07437i
\(76\) −1.19751e7 + 4.35857e6i −0.358941 + 0.130644i
\(77\) 3.30927e6 + 583513.i 0.0941389 + 0.0165992i
\(78\) 9.08818e6 2.77780e7i 0.245527 0.750450i
\(79\) 2.32815e7 1.95355e7i 0.597726 0.501551i −0.292988 0.956116i \(-0.594650\pi\)
0.890714 + 0.454565i \(0.150205\pi\)
\(80\) 2.01771e7i 0.492604i
\(81\) 1.29683e7 + 4.10469e7i 0.301260 + 0.953542i
\(82\) 1.69017e7 0.373830
\(83\) 4.57835e7 + 5.45626e7i 0.964709 + 1.14970i 0.988689 + 0.149983i \(0.0479219\pi\)
−0.0239796 + 0.999712i \(0.507634\pi\)
\(84\) −9.37576e6 3.06749e6i −0.188317 0.0616121i
\(85\) 2.02666e7 1.14938e8i 0.388245 2.20184i
\(86\) 8.08217e6 + 2.22056e7i 0.147752 + 0.405946i
\(87\) 1.16436e7 + 2.89887e7i 0.203240 + 0.506001i
\(88\) −888121. 5.03678e6i −0.0148095 0.0839891i
\(89\) −3.94896e7 + 2.27993e7i −0.629394 + 0.363381i −0.780517 0.625134i \(-0.785044\pi\)
0.151123 + 0.988515i \(0.451711\pi\)
\(90\) −8.36616e7 + 3.68410e7i −1.27514 + 0.561515i
\(91\) 1.51725e7 2.62795e7i 0.221254 0.383222i
\(92\) 2.10472e7 5.78267e7i 0.293794 0.807192i
\(93\) −2.99342e7 + 5.60225e7i −0.400162 + 0.748912i
\(94\) −1.34222e7 1.12625e7i −0.171914 0.144253i
\(95\) −7.88111e7 + 9.39235e7i −0.967594 + 1.15313i
\(96\) 493441. + 1.50064e7i 0.00580965 + 0.176681i
\(97\) −9.43260e7 3.43319e7i −1.06548 0.387802i −0.250994 0.967989i \(-0.580757\pi\)
−0.814484 + 0.580186i \(0.802980\pi\)
\(98\) 4.76133e7 + 2.74896e7i 0.516207 + 0.298032i
\(99\) −1.92628e7 + 1.28791e7i −0.200529 + 0.134074i
\(100\) −7.20635e7 1.24818e8i −0.720635 1.24818i
\(101\) −3.39731e6 + 599038.i −0.0326475 + 0.00575664i −0.189948 0.981794i \(-0.560832\pi\)
0.157301 + 0.987551i \(0.449721\pi\)
\(102\) −1.22621e7 + 8.59786e7i −0.113283 + 0.794310i
\(103\) −7.09292e7 + 2.58161e7i −0.630197 + 0.229373i −0.637317 0.770602i \(-0.719956\pi\)
0.00712010 + 0.999975i \(0.497734\pi\)
\(104\) −4.54840e7 8.02006e6i −0.388799 0.0685558i
\(105\) −9.28769e7 + 1.95440e7i −0.764101 + 0.160789i
\(106\) −4.42269e7 + 3.71108e7i −0.350318 + 0.293952i
\(107\) 1.79453e8i 1.36904i 0.728995 + 0.684519i \(0.239988\pi\)
−0.728995 + 0.684519i \(0.760012\pi\)
\(108\) 6.13210e7 2.94459e7i 0.450728 0.216436i
\(109\) 6.18096e7 0.437875 0.218937 0.975739i \(-0.429741\pi\)
0.218937 + 0.975739i \(0.429741\pi\)
\(110\) −3.16299e7 3.76950e7i −0.216036 0.257462i
\(111\) 1.14577e8 1.02744e8i 0.754757 0.676809i
\(112\) −2.70697e6 + 1.53520e7i −0.0172033 + 0.0975647i
\(113\) −3.53882e6 9.72284e6i −0.0217043 0.0596320i 0.928367 0.371664i \(-0.121213\pi\)
−0.950072 + 0.312032i \(0.898990\pi\)
\(114\) 5.63176e7 7.17814e7i 0.333445 0.425004i
\(115\) −1.02811e8 5.83072e8i −0.587827 3.33373i
\(116\) 4.27525e7 2.46832e7i 0.236118 0.136323i
\(117\) 4.97945e7 + 2.03237e8i 0.265728 + 1.08458i
\(118\) 1.15096e8 1.99352e8i 0.593653 1.02824i
\(119\) −3.08403e7 + 8.47330e7i −0.153791 + 0.422537i
\(120\) 7.63008e7 + 1.22662e8i 0.367963 + 0.591541i
\(121\) 1.54653e8 + 1.29770e8i 0.721470 + 0.605385i
\(122\) −1.94777e8 + 2.32127e8i −0.879223 + 1.04782i
\(123\) −1.02750e8 + 6.39147e7i −0.448912 + 0.279242i
\(124\) 9.43213e7 + 3.43301e7i 0.398954 + 0.145207i
\(125\) −7.84283e8 4.52806e8i −3.21242 1.85469i
\(126\) 6.85977e7 1.68069e7i 0.272162 0.0666815i
\(127\) 1.99891e8 + 3.46221e8i 0.768384 + 1.33088i 0.938439 + 0.345446i \(0.112272\pi\)
−0.170054 + 0.985435i \(0.554394\pi\)
\(128\) 2.33661e7 4.12008e6i 0.0870455 0.0153485i
\(129\) −1.33106e8 1.04431e8i −0.480659 0.377111i
\(130\) −4.17562e8 + 1.51980e8i −1.46200 + 0.532125i
\(131\) 7.98943e7 + 1.40875e7i 0.271288 + 0.0478354i 0.307637 0.951504i \(-0.400462\pi\)
−0.0363491 + 0.999339i \(0.511573\pi\)
\(132\) 2.44460e7 + 2.72615e7i 0.0805217 + 0.0897955i
\(133\) 7.25654e7 6.08896e7i 0.231912 0.194597i
\(134\) 1.87295e8i 0.580908i
\(135\) 3.69285e8 5.40338e8i 1.11180 1.62679i
\(136\) 1.37242e8 0.401174
\(137\) 3.95495e7 + 4.71333e7i 0.112269 + 0.133797i 0.819252 0.573433i \(-0.194389\pi\)
−0.706983 + 0.707230i \(0.749944\pi\)
\(138\) 9.07235e7 + 4.31136e8i 0.250152 + 1.18877i
\(139\) −6.66192e7 + 3.77816e8i −0.178460 + 1.01210i 0.755614 + 0.655017i \(0.227338\pi\)
−0.934074 + 0.357079i \(0.883773\pi\)
\(140\) 5.12971e7 + 1.40938e8i 0.133531 + 0.366872i
\(141\) 1.24187e8 + 1.77113e7i 0.314195 + 0.0448099i
\(142\) −3.31910e7 1.88236e8i −0.0816333 0.462965i
\(143\) −9.75461e7 + 5.63183e7i −0.233274 + 0.134681i
\(144\) −5.97472e7 8.93618e7i −0.138953 0.207827i
\(145\) 2.37481e8 4.11329e8i 0.537226 0.930503i
\(146\) 9.63258e7 2.64653e8i 0.211998 0.582459i
\(147\) −3.93408e8 + 1.29361e7i −0.842507 + 0.0277034i
\(148\) −1.86299e8 1.56323e8i −0.388296 0.325819i
\(149\) 7.29640e7 8.69552e7i 0.148035 0.176421i −0.686931 0.726722i \(-0.741043\pi\)
0.834966 + 0.550301i \(0.185487\pi\)
\(150\) 9.10099e8 + 4.86288e8i 1.79773 + 0.960569i
\(151\) −3.83564e8 1.39606e8i −0.737785 0.268532i −0.0543287 0.998523i \(-0.517302\pi\)
−0.683456 + 0.729991i \(0.739524\pi\)
\(152\) −1.24861e8 7.20887e7i −0.233913 0.135049i
\(153\) −2.50589e8 5.69058e8i −0.457295 1.03846i
\(154\) 1.90088e7 + 3.29243e7i 0.0337966 + 0.0585374i
\(155\) 9.51050e8 1.67696e8i 1.64769 0.290533i
\(156\) 3.06838e8 1.23244e8i 0.518097 0.208099i
\(157\) 6.65225e8 2.42122e8i 1.09489 0.398507i 0.269459 0.963012i \(-0.413155\pi\)
0.825430 + 0.564505i \(0.190933\pi\)
\(158\) 3.38620e8 + 5.97078e7i 0.543356 + 0.0958083i
\(159\) 1.28531e8 3.92853e8i 0.201103 0.614670i
\(160\) 1.74871e8 1.46734e8i 0.266831 0.223898i
\(161\) 4.57431e8i 0.680805i
\(162\) −2.61436e8 + 4.10899e8i −0.379581 + 0.596589i
\(163\) −4.84478e8 −0.686315 −0.343158 0.939278i \(-0.611497\pi\)
−0.343158 + 0.939278i \(0.611497\pi\)
\(164\) 1.22914e8 + 1.46484e8i 0.169913 + 0.202495i
\(165\) 3.34833e8 + 1.09548e8i 0.451744 + 0.147798i
\(166\) −1.39932e8 + 7.93593e8i −0.184282 + 1.04512i
\(167\) 5.92088e7 + 1.62675e8i 0.0761238 + 0.209149i 0.971918 0.235321i \(-0.0756143\pi\)
−0.895794 + 0.444470i \(0.853392\pi\)
\(168\) −4.15981e7 1.03566e8i −0.0522200 0.130011i
\(169\) 3.49759e7 + 1.98358e8i 0.0428768 + 0.243167i
\(170\) 1.14353e9 6.60216e8i 1.36915 0.790479i
\(171\) −7.09241e7 + 6.49347e8i −0.0829487 + 0.759439i
\(172\) −1.33675e8 + 2.31533e8i −0.152735 + 0.264544i
\(173\) −3.28091e8 + 9.01421e8i −0.366277 + 1.00634i 0.610489 + 0.792025i \(0.290973\pi\)
−0.976765 + 0.214312i \(0.931249\pi\)
\(174\) −1.66563e8 + 3.11727e8i −0.181712 + 0.340077i
\(175\) 8.20697e8 + 6.88646e8i 0.875045 + 0.734250i
\(176\) 3.71941e7 4.43262e7i 0.0387636 0.0461966i
\(177\) 5.41621e7 + 1.64716e9i 0.0551826 + 1.67820i
\(178\) −4.84778e8 1.76445e8i −0.482906 0.175764i
\(179\) −6.72733e8 3.88402e8i −0.655285 0.378329i 0.135193 0.990819i \(-0.456835\pi\)
−0.790478 + 0.612490i \(0.790168\pi\)
\(180\) −9.27707e8 4.57159e8i −0.883733 0.435489i
\(181\) 1.61363e8 + 2.79489e8i 0.150345 + 0.260406i 0.931354 0.364114i \(-0.118628\pi\)
−0.781009 + 0.624520i \(0.785295\pi\)
\(182\) 3.38098e8 5.96158e7i 0.308146 0.0543345i
\(183\) 3.06304e8 2.14772e9i 0.273117 1.91502i
\(184\) 6.54234e8 2.38122e8i 0.570771 0.207744i
\(185\) −2.30428e9 4.06307e8i −1.96720 0.346871i
\(186\) −7.03227e8 + 1.47979e8i −0.587548 + 0.123637i
\(187\) 2.56398e8 2.15143e8i 0.209675 0.175939i
\(188\) 1.98232e8i 0.158687i
\(189\) −3.53468e8 + 3.61580e8i −0.277015 + 0.283372i
\(190\) −1.38716e9 −1.06441
\(191\) 3.16468e8 + 3.77152e8i 0.237791 + 0.283389i 0.871722 0.490001i \(-0.163004\pi\)
−0.633930 + 0.773390i \(0.718559\pi\)
\(192\) −1.26469e8 + 1.13407e8i −0.0930632 + 0.0834520i
\(193\) −3.01249e8 + 1.70847e9i −0.217118 + 1.23134i 0.660075 + 0.751200i \(0.270524\pi\)
−0.877193 + 0.480138i \(0.840587\pi\)
\(194\) −3.88421e8 1.06718e9i −0.274218 0.753407i
\(195\) 1.96375e9 2.50297e9i 1.35815 1.73108i
\(196\) 1.08012e8 + 6.12568e8i 0.0731895 + 0.415078i
\(197\) 2.13969e9 1.23535e9i 1.42065 0.820210i 0.424292 0.905525i \(-0.360523\pi\)
0.996354 + 0.0853152i \(0.0271897\pi\)
\(198\) −2.51705e8 7.32861e7i −0.163769 0.0476827i
\(199\) −6.53271e8 + 1.13150e9i −0.416564 + 0.721509i −0.995591 0.0937986i \(-0.970099\pi\)
0.579028 + 0.815308i \(0.303432\pi\)
\(200\) 5.57702e8 1.53227e9i 0.348563 0.957670i
\(201\) −7.08269e8 1.13862e9i −0.433924 0.697581i
\(202\) −2.98981e7 2.50875e7i −0.0179572 0.0150679i
\(203\) −2.35875e8 + 2.81105e8i −0.138899 + 0.165533i
\(204\) −8.34334e8 + 5.18990e8i −0.481747 + 0.299667i
\(205\) 1.72882e9 + 6.29237e8i 0.978888 + 0.356286i
\(206\) −7.39563e8 4.26987e8i −0.410682 0.237108i
\(207\) −2.18190e9 2.27792e9i −1.18837 1.24067i
\(208\) −2.61266e8 4.52525e8i −0.139582 0.241763i
\(209\) −3.46275e8 + 6.10576e7i −0.181483 + 0.0320003i
\(210\) −8.44814e8 6.62816e8i −0.434394 0.340813i
\(211\) 8.31902e8 3.02788e8i 0.419703 0.152759i −0.123531 0.992341i \(-0.539422\pi\)
0.543234 + 0.839581i \(0.317200\pi\)
\(212\) −6.43264e8 1.13425e8i −0.318453 0.0561519i
\(213\) 9.13602e8 + 1.01882e9i 0.443853 + 0.494972i
\(214\) −1.55528e9 + 1.30504e9i −0.741574 + 0.622254i
\(215\) 2.57223e9i 1.20380i
\(216\) 7.01147e8 + 3.17317e8i 0.322103 + 0.145774i
\(217\) −7.46118e8 −0.336487
\(218\) 4.49499e8 + 5.35692e8i 0.199023 + 0.237186i
\(219\) 4.15211e8 + 1.97316e9i 0.180506 + 0.857800i
\(220\) 9.66730e7 5.48260e8i 0.0412681 0.234043i
\(221\) −1.03375e9 2.84021e9i −0.433359 1.19064i
\(222\) 1.72371e9 + 2.45832e8i 0.709662 + 0.101211i
\(223\) 3.88912e8 + 2.20563e9i 0.157265 + 0.891894i 0.956686 + 0.291123i \(0.0940288\pi\)
−0.799421 + 0.600772i \(0.794860\pi\)
\(224\) −1.52739e8 + 8.81837e7i −0.0606676 + 0.0350265i
\(225\) −7.37167e9 + 4.85317e8i −2.87631 + 0.189363i
\(226\) 5.85305e7 1.01378e8i 0.0224362 0.0388606i
\(227\) −6.21376e8 + 1.70722e9i −0.234019 + 0.642962i 0.765981 + 0.642863i \(0.222254\pi\)
−1.00000 9.88992e-5i \(0.999969\pi\)
\(228\) 1.03167e9 3.39236e7i 0.381771 0.0125534i
\(229\) 1.50266e9 + 1.26088e9i 0.546409 + 0.458492i 0.873723 0.486424i \(-0.161699\pi\)
−0.327314 + 0.944916i \(0.606143\pi\)
\(230\) 4.30569e9 5.13132e9i 1.53862 1.83366i
\(231\) −2.40065e8 1.28273e8i −0.0843104 0.0450491i
\(232\) 5.24834e8 + 1.91024e8i 0.181163 + 0.0659380i
\(233\) −2.05787e9 1.18811e9i −0.698225 0.403120i 0.108461 0.994101i \(-0.465408\pi\)
−0.806686 + 0.590981i \(0.798741\pi\)
\(234\) −1.39930e9 + 1.90956e9i −0.466710 + 0.636900i
\(235\) −9.53611e8 1.65170e9i −0.312680 0.541577i
\(236\) 2.56476e9 4.52236e8i 0.826797 0.145787i
\(237\) −2.28435e9 + 9.17532e8i −0.724052 + 0.290822i
\(238\) −9.58644e8 + 3.48918e8i −0.298779 + 0.108747i
\(239\) 4.41718e9 + 7.78868e8i 1.35380 + 0.238711i 0.803026 0.595945i \(-0.203222\pi\)
0.550772 + 0.834656i \(0.314333\pi\)
\(240\) −5.08204e8 + 1.55332e9i −0.153177 + 0.468183i
\(241\) 3.17744e9 2.66619e9i 0.941910 0.790356i −0.0360066 0.999352i \(-0.511464\pi\)
0.977917 + 0.208995i \(0.0670193\pi\)
\(242\) 2.28408e9i 0.665962i
\(243\) 3.55006e7 3.48660e9i 0.0101815 0.999948i
\(244\) −3.42828e9 −0.967201
\(245\) 3.84679e9 + 4.58442e9i 1.06766 + 1.27239i
\(246\) −1.30117e9 4.25706e8i −0.355298 0.116244i
\(247\) −5.51372e8 + 3.12699e9i −0.148135 + 0.840114i
\(248\) 3.88401e8 + 1.06712e9i 0.102677 + 0.282103i
\(249\) −2.15034e9 5.35363e9i −0.559383 1.39268i
\(250\) −1.77917e9 1.00902e10i −0.455467 2.58308i
\(251\) 2.08090e9 1.20141e9i 0.524271 0.302688i −0.214409 0.976744i \(-0.568783\pi\)
0.738681 + 0.674056i \(0.235449\pi\)
\(252\) 6.44526e8 + 4.72298e8i 0.159823 + 0.117115i
\(253\) 8.48964e8 1.47045e9i 0.207208 0.358895i
\(254\) −1.54696e9 + 4.25025e9i −0.371659 + 1.02113i
\(255\) −4.45517e9 + 8.33795e9i −1.05367 + 1.97196i
\(256\) 2.05633e8 + 1.72547e8i 0.0478778 + 0.0401742i
\(257\) −4.22701e8 + 5.03756e8i −0.0968949 + 0.115475i −0.812313 0.583222i \(-0.801792\pi\)
0.715418 + 0.698697i \(0.246236\pi\)
\(258\) −6.29052e7 1.91305e9i −0.0141974 0.431766i
\(259\) 1.69873e9 + 6.18289e8i 0.377508 + 0.137402i
\(260\) −4.35382e9 2.51368e9i −0.952747 0.550069i
\(261\) −1.66231e8 2.52495e9i −0.0358220 0.544114i
\(262\) 4.58923e8 + 7.94877e8i 0.0973945 + 0.168692i
\(263\) 8.20972e9 1.44759e9i 1.71595 0.302569i 0.772731 0.634734i \(-0.218890\pi\)
0.943221 + 0.332165i \(0.107779\pi\)
\(264\) −5.84910e7 + 4.10123e8i −0.0120413 + 0.0844304i
\(265\) −5.90543e9 + 2.14940e9i −1.19748 + 0.435847i
\(266\) 1.05544e9 + 1.86102e8i 0.210817 + 0.0371727i
\(267\) 3.61434e9 7.60562e8i 0.711186 0.149654i
\(268\) −1.62325e9 + 1.36207e9i −0.314664 + 0.264034i
\(269\) 9.43068e9i 1.80108i 0.434769 + 0.900542i \(0.356830\pi\)
−0.434769 + 0.900542i \(0.643170\pi\)
\(270\) 7.36857e9 7.28984e8i 1.38653 0.137171i
\(271\) 2.28976e9 0.424535 0.212267 0.977212i \(-0.431915\pi\)
0.212267 + 0.977212i \(0.431915\pi\)
\(272\) 9.98069e8 + 1.18945e9i 0.182341 + 0.217306i
\(273\) −1.82995e9 + 1.64096e9i −0.329449 + 0.295425i
\(274\) −1.20878e8 + 6.85536e8i −0.0214460 + 0.121626i
\(275\) −1.36011e9 3.73687e9i −0.237817 0.653397i
\(276\) −3.07680e9 + 3.92164e9i −0.530228 + 0.675820i
\(277\) 1.42645e9 + 8.08979e9i 0.242291 + 1.37410i 0.826701 + 0.562641i \(0.190215\pi\)
−0.584411 + 0.811458i \(0.698674\pi\)
\(278\) −3.75894e9 + 2.17022e9i −0.629340 + 0.363350i
\(279\) 3.71552e9 3.55890e9i 0.613200 0.587353i
\(280\) −8.48431e8 + 1.46953e9i −0.138033 + 0.239081i
\(281\) 3.20271e9 8.79938e9i 0.513680 1.41132i −0.363695 0.931518i \(-0.618485\pi\)
0.877375 0.479806i \(-0.159293\pi\)
\(282\) 7.49626e8 + 1.20511e9i 0.118535 + 0.190559i
\(283\) 4.37675e9 + 3.67253e9i 0.682348 + 0.572558i 0.916692 0.399596i \(-0.130849\pi\)
−0.234343 + 0.972154i \(0.575294\pi\)
\(284\) 1.39003e9 1.65657e9i 0.213673 0.254646i
\(285\) 8.43290e9 5.24561e9i 1.27820 0.795091i
\(286\) −1.19749e9 4.35849e8i −0.178981 0.0651436i
\(287\) −1.23097e9 7.10703e8i −0.181435 0.104752i
\(288\) 3.39981e8 1.16768e9i 0.0494179 0.169729i
\(289\) 1.00284e9 + 1.73697e9i 0.143761 + 0.249001i
\(290\) 5.29195e9 9.33113e8i 0.748210 0.131930i
\(291\) 6.39691e9 + 5.01883e9i 0.892069 + 0.699891i
\(292\) 2.99421e9 1.08980e9i 0.411861 0.149905i
\(293\) −3.15156e9 5.55704e8i −0.427617 0.0754003i −0.0443020 0.999018i \(-0.514106\pi\)
−0.383315 + 0.923618i \(0.625217\pi\)
\(294\) −2.97310e9 3.31551e9i −0.397942 0.443774i
\(295\) 1.91945e10 1.61061e10i 2.53448 2.12668i
\(296\) 2.75145e9i 0.358422i
\(297\) 1.80732e9 5.06313e8i 0.232279 0.0650719i
\(298\) 1.28424e9 0.162848
\(299\) −9.85581e9 1.17457e10i −1.23313 1.46958i
\(300\) 2.40396e9 + 1.14241e10i 0.296785 + 1.41038i
\(301\) 3.45092e8 1.95712e9i 0.0420406 0.238424i
\(302\) −1.57946e9 4.33953e9i −0.189881 0.521693i
\(303\) 2.76628e8 + 3.94522e7i 0.0328191 + 0.00468059i
\(304\) −2.83252e8 1.60640e9i −0.0331649 0.188087i
\(305\) −2.85650e10 + 1.64920e10i −3.30092 + 1.90579i
\(306\) 3.10955e9 6.31017e9i 0.354660 0.719706i
\(307\) −1.82399e9 + 3.15925e9i −0.205338 + 0.355656i −0.950240 0.311517i \(-0.899163\pi\)
0.744902 + 0.667174i \(0.232496\pi\)
\(308\) −1.47110e8 + 4.04181e8i −0.0163470 + 0.0449131i
\(309\) 6.11068e9 2.00932e8i 0.670279 0.0220402i
\(310\) 8.36972e9 + 7.02303e9i 0.906283 + 0.760462i
\(311\) 7.11794e8 8.48283e8i 0.0760874 0.0906774i −0.726658 0.687000i \(-0.758927\pi\)
0.802745 + 0.596322i \(0.203372\pi\)
\(312\) 3.29956e9 + 1.76303e9i 0.348207 + 0.186055i
\(313\) −1.06323e10 3.86986e9i −1.10778 0.403197i −0.277599 0.960697i \(-0.589539\pi\)
−0.830177 + 0.557500i \(0.811761\pi\)
\(314\) 6.93615e9 + 4.00459e9i 0.713510 + 0.411945i
\(315\) 7.64234e9 + 8.34724e8i 0.776219 + 0.0847814i
\(316\) 1.94507e9 + 3.36897e9i 0.195069 + 0.337869i
\(317\) −6.55985e9 + 1.15668e9i −0.649616 + 0.114545i −0.488740 0.872430i \(-0.662543\pi\)
−0.160877 + 0.986975i \(0.551432\pi\)
\(318\) 4.33950e9 1.74300e9i 0.424357 0.170447i
\(319\) 1.27995e9 4.65865e8i 0.123604 0.0449880i
\(320\) 2.54343e9 + 4.48475e8i 0.242560 + 0.0427699i
\(321\) 4.51992e9 1.38151e10i 0.425707 1.30117i
\(322\) −3.96447e9 + 3.32658e9i −0.368775 + 0.309439i
\(323\) 9.43529e9i 0.866852i
\(324\) −5.46242e9 + 7.22372e8i −0.495684 + 0.0655513i
\(325\) −3.59110e10 −3.21880
\(326\) −3.52328e9 4.19888e9i −0.311944 0.371760i
\(327\) −4.75838e9 1.55681e9i −0.416167 0.136158i
\(328\) −3.75673e8 + 2.13055e9i −0.0324575 + 0.184075i
\(329\) 5.03974e8 + 1.38466e9i 0.0430155 + 0.118184i
\(330\) 1.48558e9 + 3.69860e9i 0.125268 + 0.311876i
\(331\) −2.65730e9 1.50703e10i −0.221375 1.25548i −0.869495 0.493942i \(-0.835555\pi\)
0.648120 0.761539i \(-0.275556\pi\)
\(332\) −7.89554e9 + 4.55849e9i −0.649874 + 0.375205i
\(333\) −1.14085e10 + 5.02383e9i −0.927796 + 0.408562i
\(334\) −9.79287e8 + 1.69617e9i −0.0786908 + 0.136296i
\(335\) −6.97287e9 + 1.91578e10i −0.553646 + 1.52113i
\(336\) 5.95068e8 1.11368e9i 0.0466885 0.0873786i
\(337\) −7.62343e9 6.39682e9i −0.591059 0.495958i 0.297498 0.954722i \(-0.403848\pi\)
−0.888558 + 0.458765i \(0.848292\pi\)
\(338\) −1.46478e9 + 1.74565e9i −0.112229 + 0.133749i
\(339\) 2.75434e7 + 8.37640e8i 0.00208554 + 0.0634248i
\(340\) 1.40380e10 + 5.10943e9i 1.05049 + 0.382346i
\(341\) 2.39845e9 + 1.38475e9i 0.177384 + 0.102413i
\(342\) −6.14355e9 + 4.10757e9i −0.449071 + 0.300248i
\(343\) −5.05434e9 8.75437e9i −0.365164 0.632483i
\(344\) −2.97878e9 + 5.25239e8i −0.212718 + 0.0375079i
\(345\) −6.77107e9 + 4.74770e10i −0.477948 + 3.35125i
\(346\) −1.01984e10 + 3.71192e9i −0.711588 + 0.258997i
\(347\) −2.48248e10 4.37728e9i −1.71225 0.301916i −0.770303 0.637678i \(-0.779895\pi\)
−0.941947 + 0.335762i \(0.891006\pi\)
\(348\) −3.91298e9 + 8.23405e8i −0.266803 + 0.0561431i
\(349\) 3.30959e9 2.77708e9i 0.223086 0.187192i −0.524394 0.851476i \(-0.675708\pi\)
0.747480 + 0.664284i \(0.231264\pi\)
\(350\) 1.21209e10i 0.807721i
\(351\) 1.28558e9 1.69003e10i 0.0846974 1.11344i
\(352\) 6.54654e8 0.0426424
\(353\) 1.95193e10 + 2.32622e10i 1.25709 + 1.49814i 0.788919 + 0.614497i \(0.210641\pi\)
0.468167 + 0.883640i \(0.344915\pi\)
\(354\) −1.38817e10 + 1.24481e10i −0.883956 + 0.792664i
\(355\) 3.61288e9 2.04897e10i 0.227478 1.29009i
\(356\) −1.99624e9 5.48464e9i −0.124284 0.341466i
\(357\) 4.50841e9 5.74634e9i 0.277556 0.353768i
\(358\) −1.52611e9 8.65503e9i −0.0929084 0.526910i
\(359\) 4.33420e9 2.50235e9i 0.260935 0.150651i −0.363826 0.931467i \(-0.618530\pi\)
0.624761 + 0.780816i \(0.285196\pi\)
\(360\) −2.78447e9 1.13649e10i −0.165780 0.676635i
\(361\) 3.53575e9 6.12409e9i 0.208186 0.360589i
\(362\) −1.24879e9 + 3.43103e9i −0.0727205 + 0.199798i
\(363\) −8.63738e9 1.38855e10i −0.497457 0.799717i
\(364\) 2.97543e9 + 2.49668e9i 0.169490 + 0.142219i
\(365\) 1.97057e10 2.34843e10i 1.11025 1.32314i
\(366\) 2.08414e10 1.29642e10i 1.16146 0.722475i
\(367\) 1.18075e10 + 4.29757e9i 0.650868 + 0.236897i 0.646289 0.763093i \(-0.276320\pi\)
0.00457912 + 0.999990i \(0.498542\pi\)
\(368\) 6.82155e9 + 3.93842e9i 0.371956 + 0.214749i
\(369\) 9.51998e9 2.33246e9i 0.513488 0.125808i
\(370\) −1.32361e10 2.29255e10i −0.706240 1.22324i
\(371\) 4.78159e9 8.43124e8i 0.252393 0.0445037i
\(372\) −6.39659e9 5.01858e9i −0.334023 0.262065i
\(373\) 1.16624e10 4.24476e9i 0.602493 0.219290i −0.0227222 0.999742i \(-0.507233\pi\)
0.625215 + 0.780452i \(0.285011\pi\)
\(374\) 3.72921e9 + 6.57560e8i 0.190603 + 0.0336085i
\(375\) 4.89727e10 + 5.46129e10i 2.47644 + 2.76166i
\(376\) 1.71804e9 1.44160e9i 0.0859569 0.0721264i
\(377\) 1.23002e10i 0.608903i
\(378\) −5.70428e9 4.33915e8i −0.279405 0.0212538i
\(379\) −3.76163e10 −1.82314 −0.911569 0.411148i \(-0.865128\pi\)
−0.911569 + 0.411148i \(0.865128\pi\)
\(380\) −1.00878e10 1.20222e10i −0.483797 0.576567i
\(381\) −6.66816e9 3.16884e10i −0.316451 1.50383i
\(382\) −9.67247e8 + 5.48553e9i −0.0454239 + 0.257611i
\(383\) −1.39547e10 3.83403e10i −0.648524 1.78181i −0.623117 0.782129i \(-0.714134\pi\)
−0.0254071 0.999677i \(-0.508088\pi\)
\(384\) −1.90260e9 2.71345e8i −0.0875029 0.0124795i
\(385\) 7.18602e8 + 4.07540e9i 0.0327074 + 0.185493i
\(386\) −1.69977e10 + 9.81363e9i −0.765669 + 0.442059i
\(387\) 7.61674e9 + 1.13921e10i 0.339567 + 0.507878i
\(388\) 6.42430e9 1.11272e10i 0.283464 0.490975i
\(389\) −1.42692e10 + 3.92044e10i −0.623163 + 1.71213i 0.0759455 + 0.997112i \(0.475803\pi\)
−0.699109 + 0.715015i \(0.746420\pi\)
\(390\) 3.59737e10 1.18289e9i 1.55499 0.0511313i
\(391\) 3.49027e10 + 2.92869e10i 1.49332 + 1.25304i
\(392\) −4.52351e9 + 5.39090e9i −0.191571 + 0.228306i
\(393\) −5.79579e9 3.09683e9i −0.242964 0.129822i
\(394\) 2.62670e10 + 9.56042e9i 1.09000 + 0.396727i
\(395\) 3.24134e10 + 1.87139e10i 1.33149 + 0.768733i
\(396\) −1.19532e9 2.71444e9i −0.0486077 0.110382i
\(397\) −6.59991e9 1.14314e10i −0.265691 0.460190i 0.702054 0.712124i \(-0.252267\pi\)
−0.967744 + 0.251934i \(0.918933\pi\)
\(398\) −1.45573e10 + 2.56684e9i −0.580160 + 0.102298i
\(399\) −7.12005e9 + 2.85983e9i −0.280926 + 0.112836i
\(400\) 1.73357e10 6.30967e9i 0.677175 0.246472i
\(401\) 2.21795e10 + 3.91084e9i 0.857775 + 0.151249i 0.585203 0.810887i \(-0.301015\pi\)
0.272572 + 0.962135i \(0.412126\pi\)
\(402\) 4.71744e9 1.44188e10i 0.180635 0.552110i
\(403\) 1.91584e10 1.60758e10i 0.726340 0.609472i
\(404\) 4.41565e8i 0.0165756i
\(405\) −4.20388e10 + 3.22964e10i −1.56254 + 1.20042i
\(406\) −4.15164e9 −0.152797
\(407\) −4.31321e9 5.14028e9i −0.157189 0.187331i
\(408\) −1.05655e10 3.45675e9i −0.381286 0.124746i
\(409\) −2.64363e9 + 1.49928e10i −0.0944729 + 0.535782i 0.900435 + 0.434991i \(0.143248\pi\)
−0.994908 + 0.100791i \(0.967863\pi\)
\(410\) 7.11901e9 + 1.95593e10i 0.251932 + 0.692179i
\(411\) −1.85754e9 4.62467e9i −0.0650986 0.162074i
\(412\) −1.67772e9 9.51482e9i −0.0582278 0.330226i
\(413\) −1.67652e10 + 9.67941e9i −0.576248 + 0.332697i
\(414\) 3.87480e9 3.54758e10i 0.131901 1.20762i
\(415\) −4.38580e10 + 7.59643e10i −1.47862 + 2.56105i
\(416\) 2.02194e9 5.55524e9i 0.0675143 0.185494i
\(417\) 1.46448e10 2.74080e10i 0.484327 0.906429i
\(418\) −3.04739e9 2.55706e9i −0.0998213 0.0837600i
\(419\) −5.20345e9 + 6.20123e9i −0.168825 + 0.201197i −0.843823 0.536622i \(-0.819700\pi\)
0.674998 + 0.737820i \(0.264144\pi\)
\(420\) −3.99256e8 1.21420e10i −0.0128308 0.390207i
\(421\) −1.36284e10 4.96035e9i −0.433828 0.157901i 0.115869 0.993265i \(-0.463035\pi\)
−0.549697 + 0.835364i \(0.685257\pi\)
\(422\) 8.67405e9 + 5.00797e9i 0.273509 + 0.157911i
\(423\) −9.11436e9 4.49141e9i −0.284685 0.140288i
\(424\) −3.69498e9 6.39990e9i −0.114327 0.198020i
\(425\) 1.05090e11 1.85301e10i 3.22110 0.567967i
\(426\) −2.18594e9 + 1.53272e10i −0.0663742 + 0.465398i
\(427\) 2.39467e10 8.71588e9i 0.720334 0.262180i
\(428\) −2.26210e10 3.98870e9i −0.674120 0.118865i
\(429\) 8.92803e9 1.87872e9i 0.263589 0.0554667i
\(430\) −2.22930e10 + 1.87060e10i −0.652071 + 0.547152i
\(431\) 1.85475e10i 0.537498i −0.963210 0.268749i \(-0.913390\pi\)
0.963210 0.268749i \(-0.0866102\pi\)
\(432\) 2.34883e9 + 8.38434e9i 0.0674400 + 0.240732i
\(433\) 6.38463e10 1.81629 0.908143 0.418660i \(-0.137500\pi\)
0.908143 + 0.418660i \(0.137500\pi\)
\(434\) −5.42600e9 6.46646e9i −0.152940 0.182267i
\(435\) −2.86426e10 + 2.56845e10i −0.799936 + 0.717321i
\(436\) −1.37384e9 + 7.79143e9i −0.0380181 + 0.215611i
\(437\) −1.63707e10 4.49780e10i −0.448891 1.23332i
\(438\) −1.40815e10 + 1.79480e10i −0.382606 + 0.487663i
\(439\) 4.32549e9 + 2.45311e10i 0.116460 + 0.660478i 0.986017 + 0.166645i \(0.0532935\pi\)
−0.869557 + 0.493833i \(0.835595\pi\)
\(440\) 5.45470e9 3.14927e9i 0.145532 0.0840232i
\(441\) 3.06121e10 + 8.91296e9i 0.809355 + 0.235650i
\(442\) 1.70978e10 2.96143e10i 0.447972 0.775911i
\(443\) 2.96961e9 8.15895e9i 0.0771055 0.211846i −0.895151 0.445763i \(-0.852932\pi\)
0.972256 + 0.233918i \(0.0751546\pi\)
\(444\) 1.04048e10 + 1.67268e10i 0.267732 + 0.430409i
\(445\) −4.30174e10 3.60959e10i −1.09699 0.920487i
\(446\) −1.62875e10 + 1.94107e10i −0.411637 + 0.490570i
\(447\) −7.80725e9 + 4.85644e9i −0.195555 + 0.121643i
\(448\) −1.87503e9 6.82457e8i −0.0465476 0.0169419i
\(449\) −3.59403e9 2.07501e9i −0.0884293 0.0510547i 0.455133 0.890423i \(-0.349592\pi\)
−0.543563 + 0.839369i \(0.682925\pi\)
\(450\) −5.78153e10 6.03595e10i −1.40991 1.47196i
\(451\) 2.63804e9 + 4.56922e9i 0.0637640 + 0.110443i
\(452\) 1.30427e9 2.29979e8i 0.0312475 0.00550977i
\(453\) 2.60122e10 + 2.04084e10i 0.617709 + 0.484636i
\(454\) −1.93150e10 + 7.03007e9i −0.454643 + 0.165477i
\(455\) 3.68023e10 + 6.48924e9i 0.858677 + 0.151408i
\(456\) 7.79667e9 + 8.69461e9i 0.180322 + 0.201090i
\(457\) 1.44812e10 1.21511e10i 0.332001 0.278582i −0.461514 0.887133i \(-0.652694\pi\)
0.793514 + 0.608551i \(0.208249\pi\)
\(458\) 2.21927e10i 0.504370i
\(459\) 4.95848e9 + 5.01202e10i 0.111711 + 1.12918i
\(460\) 7.57845e10 1.69258
\(461\) 2.19462e10 + 2.61545e10i 0.485910 + 0.579085i 0.952172 0.305562i \(-0.0988443\pi\)
−0.466263 + 0.884646i \(0.654400\pi\)
\(462\) −6.34115e8 3.01344e9i −0.0139187 0.0661445i
\(463\) −2.62158e9 + 1.48677e10i −0.0570478 + 0.323534i −0.999955 0.00952231i \(-0.996969\pi\)
0.942907 + 0.333057i \(0.108080\pi\)
\(464\) 2.16119e9 + 5.93782e9i 0.0466252 + 0.128102i
\(465\) −7.74398e10 1.10443e10i −1.65635 0.236226i
\(466\) −4.66835e9 2.64755e10i −0.0989965 0.561437i
\(467\) 8.41021e8 4.85564e8i 0.0176823 0.0102089i −0.491133 0.871085i \(-0.663417\pi\)
0.508815 + 0.860876i \(0.330084\pi\)
\(468\) −2.67260e10 + 1.75951e9i −0.557121 + 0.0366783i
\(469\) 7.87563e9 1.36410e10i 0.162777 0.281939i
\(470\) 7.38003e9 2.02765e10i 0.151240 0.415528i
\(471\) −5.73104e10 + 1.88449e9i −1.16453 + 0.0382921i
\(472\) 2.25712e10 + 1.89395e10i 0.454764 + 0.381592i
\(473\) −4.74161e9 + 5.65083e9i −0.0947287 + 0.112893i
\(474\) −2.45646e10 1.31255e10i −0.486627 0.260017i
\(475\) −1.05342e11 3.83415e10i −2.06933 0.753173i
\(476\) −9.99556e9 5.77094e9i −0.194706 0.112414i
\(477\) −1.97898e10 + 2.70063e10i −0.382267 + 0.521664i
\(478\) 2.53728e10 + 4.39470e10i 0.486024 + 0.841817i
\(479\) 4.75550e10 8.38524e9i 0.903347 0.159284i 0.297366 0.954764i \(-0.403892\pi\)
0.605981 + 0.795479i \(0.292781\pi\)
\(480\) −1.71581e10 + 6.89173e9i −0.323225 + 0.129826i
\(481\) −5.69409e10 + 2.07248e10i −1.06376 + 0.387177i
\(482\) 4.62147e10 + 8.14890e9i 0.856233 + 0.150977i
\(483\) 1.15214e10 3.52151e10i 0.211698 0.647054i
\(484\) −1.97956e10 + 1.66105e10i −0.360735 + 0.302693i
\(485\) 1.23619e11i 2.23417i
\(486\) 3.04759e10 2.50480e10i 0.546275 0.448981i
\(487\) −3.24059e10 −0.576114 −0.288057 0.957613i \(-0.593009\pi\)
−0.288057 + 0.957613i \(0.593009\pi\)
\(488\) −2.49315e10 2.97122e10i −0.439612 0.523909i
\(489\) 3.72973e10 + 1.22026e10i 0.652291 + 0.213412i
\(490\) −1.17573e10 + 6.66787e10i −0.203949 + 1.15665i
\(491\) 3.03569e10 + 8.34049e10i 0.522314 + 1.43505i 0.867938 + 0.496673i \(0.165445\pi\)
−0.345624 + 0.938373i \(0.612333\pi\)
\(492\) −5.77298e9 1.43728e10i −0.0985234 0.245291i
\(493\) 6.34694e9 + 3.59953e10i 0.107443 + 0.609338i
\(494\) −3.11107e10 + 1.79618e10i −0.522399 + 0.301607i
\(495\) −2.30177e10 1.68670e10i −0.383390 0.280942i
\(496\) −6.42398e9 + 1.11267e10i −0.106140 + 0.183839i
\(497\) −5.49782e9 + 1.51051e10i −0.0901084 + 0.247571i
\(498\) 3.07609e10 5.75698e10i 0.500129 0.936003i
\(499\) 2.21791e10 + 1.86105e10i 0.357719 + 0.300162i 0.803881 0.594790i \(-0.202765\pi\)
−0.446162 + 0.894952i \(0.647209\pi\)
\(500\) 7.45108e10 8.87985e10i 1.19217 1.42078i
\(501\) −4.60834e8 1.40147e10i −0.00731466 0.222451i
\(502\) 2.55453e10 + 9.29773e9i 0.402250 + 0.146407i
\(503\) −5.51505e10 3.18412e10i −0.861545 0.497413i 0.00298469 0.999996i \(-0.499050\pi\)
−0.864529 + 0.502583i \(0.832383\pi\)
\(504\) 5.93880e8 + 9.02068e9i 0.00920400 + 0.139803i
\(505\) −2.12418e9 3.67920e9i −0.0326608 0.0565702i
\(506\) 1.89180e10 3.33576e9i 0.288585 0.0508853i
\(507\) 2.30349e9 1.61515e10i 0.0348622 0.244444i
\(508\) −4.80861e10 + 1.75019e10i −0.722045 + 0.262803i
\(509\) −5.95246e10 1.04958e10i −0.886799 0.156367i −0.288348 0.957526i \(-0.593106\pi\)
−0.598451 + 0.801159i \(0.704217\pi\)
\(510\) −1.04663e11 + 2.20241e10i −1.54708 + 0.325550i
\(511\) −1.81440e10 + 1.52246e10i −0.266103 + 0.223287i
\(512\) 3.03700e9i 0.0441942i
\(513\) 2.18153e10 4.82033e10i 0.314986 0.695996i
\(514\) −7.43996e9 −0.106590
\(515\) −5.97509e10 7.12084e10i −0.849407 1.01228i
\(516\) 1.61226e10 1.44575e10i 0.227424 0.203936i
\(517\) 9.49775e8 5.38644e9i 0.0132941 0.0753945i
\(518\) 6.99514e9 + 1.92190e10i 0.0971577 + 0.266939i
\(519\) 4.79621e10 6.11317e10i 0.661042 0.842553i
\(520\) −9.87678e9 5.60140e10i −0.135083 0.766096i
\(521\) −2.25331e10 + 1.30095e10i −0.305824 + 0.176567i −0.645056 0.764135i \(-0.723166\pi\)
0.339232 + 0.940703i \(0.389833\pi\)
\(522\) 2.06743e10 1.98029e10i 0.278451 0.266714i
\(523\) −1.75711e10 + 3.04341e10i −0.234851 + 0.406774i −0.959229 0.282629i \(-0.908794\pi\)
0.724378 + 0.689403i \(0.242127\pi\)
\(524\) −3.55162e9 + 9.75799e9i −0.0471087 + 0.129430i
\(525\) −4.58358e10 7.36861e10i −0.603348 0.969948i
\(526\) 7.22496e10 + 6.06246e10i 0.943828 + 0.791965i
\(527\) −4.77699e10 + 5.69300e10i −0.619316 + 0.738072i
\(528\) −3.97982e9 + 2.47562e9i −0.0512069 + 0.0318528i
\(529\) 1.43607e11 + 5.22687e10i 1.83381 + 0.667451i
\(530\) −6.15745e10 3.55501e10i −0.780365 0.450544i
\(531\) 3.73177e10 1.28170e11i 0.469393 1.61216i
\(532\) 6.06256e9 + 1.05007e10i 0.0756849 + 0.131090i
\(533\) 4.69211e10 8.27346e9i 0.581380 0.102513i
\(534\) 3.28762e10 + 2.57937e10i 0.404312 + 0.317211i
\(535\) −2.07670e11 + 7.55858e10i −2.53489 + 0.922625i
\(536\) −2.36096e10 4.16301e9i −0.286042 0.0504368i
\(537\) 4.20072e10 + 4.68452e10i 0.505157 + 0.563337i
\(538\) −8.17339e10 + 6.85828e10i −0.975602 + 0.818628i
\(539\) 1.71625e10i 0.203341i
\(540\) 5.99045e10 + 5.85605e10i 0.704505 + 0.688700i
\(541\) 1.38013e11 1.61113 0.805566 0.592507i \(-0.201862\pi\)
0.805566 + 0.592507i \(0.201862\pi\)
\(542\) 1.66519e10 + 1.98449e10i 0.192959 + 0.229960i
\(543\) −5.38290e9 2.55806e10i −0.0619181 0.294247i
\(544\) −3.05048e9 + 1.73001e10i −0.0348315 + 0.197539i
\(545\) 2.60343e10 + 7.15286e10i 0.295093 + 0.810762i
\(546\) −2.75298e10 3.92625e9i −0.309765 0.0441781i
\(547\) −2.56192e9 1.45294e10i −0.0286165 0.162292i 0.967151 0.254204i \(-0.0818134\pi\)
−0.995767 + 0.0919116i \(0.970702\pi\)
\(548\) −6.82047e9 + 3.93780e9i −0.0756296 + 0.0436648i
\(549\) −7.76758e10 + 1.57626e11i −0.855060 + 1.73516i
\(550\) 2.24956e10 3.89635e10i 0.245837 0.425801i
\(551\) 1.31327e10 3.60819e10i 0.142478 0.391456i
\(552\) −5.63635e10 + 1.85335e9i −0.607074 + 0.0199619i
\(553\) −2.21515e10 1.85873e10i −0.236866 0.198754i
\(554\) −5.97390e10 + 7.11942e10i −0.634189 + 0.755798i
\(555\) 1.67160e11 + 8.93177e10i 1.76182 + 0.941381i
\(556\) −4.61450e10 1.67954e10i −0.482865 0.175749i
\(557\) −5.42333e8 3.13116e8i −0.00563437 0.00325300i 0.497180 0.867647i \(-0.334369\pi\)
−0.502815 + 0.864394i \(0.667702\pi\)
\(558\) 5.78647e10 + 6.32020e9i 0.596866 + 0.0651919i
\(559\) 3.33069e10 + 5.76892e10i 0.341104 + 0.590809i
\(560\) −1.89061e10 + 3.33366e9i −0.192243 + 0.0338976i
\(561\) −2.51575e10 + 1.01047e10i −0.253989 + 0.102017i
\(562\) 9.95536e10 3.62345e10i 0.997957 0.363226i
\(563\) −1.72031e11 3.03337e10i −1.71227 0.301920i −0.770319 0.637659i \(-0.779903\pi\)
−0.941955 + 0.335739i \(0.891014\pi\)
\(564\) −4.99290e9 + 1.52608e10i −0.0493443 + 0.150820i
\(565\) 9.76111e9 8.19054e9i 0.0957867 0.0803746i
\(566\) 6.46402e10i 0.629850i
\(567\) 3.63188e10 1.89332e10i 0.351398 0.183186i
\(568\) 2.44659e10 0.235054
\(569\) −4.21997e10 5.02917e10i −0.402588 0.479786i 0.526219 0.850349i \(-0.323609\pi\)
−0.928807 + 0.370563i \(0.879165\pi\)
\(570\) 1.06789e11 + 3.49386e10i 1.01165 + 0.330983i
\(571\) 2.86733e10 1.62614e11i 0.269733 1.52973i −0.485479 0.874248i \(-0.661355\pi\)
0.755211 0.655481i \(-0.227534\pi\)
\(572\) −4.93107e9 1.35480e10i −0.0460635 0.126558i
\(573\) −1.48637e10 3.70058e10i −0.137882 0.343282i
\(574\) −2.79250e9 1.58371e10i −0.0257244 0.145891i
\(575\) 4.68812e11 2.70668e11i 4.28871 2.47609i
\(576\) 1.25925e10 5.54522e9i 0.114399 0.0503766i
\(577\) 6.69256e10 1.15919e11i 0.603794 1.04580i −0.388446 0.921471i \(-0.626988\pi\)
0.992241 0.124331i \(-0.0396785\pi\)
\(578\) −7.76103e9 + 2.13232e10i −0.0695357 + 0.191048i
\(579\) 6.62229e10 1.23938e11i 0.589243 1.10278i
\(580\) 4.65718e10 + 3.90784e10i 0.411539 + 0.345322i
\(581\) 4.35614e10 5.19145e10i 0.382294 0.455600i
\(582\) 3.02316e9 + 9.19392e10i 0.0263493 + 0.801326i
\(583\) −1.69356e10 6.16405e9i −0.146597 0.0533571i
\(584\) 3.12199e10 + 1.80248e10i 0.268399 + 0.154960i
\(585\) −2.14221e11 + 1.43228e11i −1.82911 + 1.22294i
\(586\) −1.81029e10 3.13552e10i −0.153518 0.265900i
\(587\) −1.85388e11 + 3.26889e10i −1.56145 + 0.275327i −0.886569 0.462596i \(-0.846918\pi\)
−0.674886 + 0.737922i \(0.735807\pi\)
\(588\) 7.11360e9 4.98787e10i 0.0595087 0.417259i
\(589\) 7.33638e10 2.67023e10i 0.609566 0.221864i
\(590\) 2.79177e11 + 4.92264e10i 2.30394 + 0.406247i
\(591\) −1.95838e11 + 4.12100e10i −1.60526 + 0.337794i
\(592\) 2.38462e10 2.00094e10i 0.194148 0.162910i
\(593\) 1.31953e11i 1.06709i 0.845773 + 0.533544i \(0.179140\pi\)
−0.845773 + 0.533544i \(0.820860\pi\)
\(594\) 1.75315e10 + 1.19816e10i 0.140823 + 0.0962433i
\(595\) −1.11046e11 −0.886006
\(596\) 9.33940e9 + 1.11303e10i 0.0740174 + 0.0882105i
\(597\) 7.87910e10 7.06538e10i 0.620268 0.556209i
\(598\) 3.01231e10 1.70837e11i 0.235557 1.33591i
\(599\) 3.38135e10 + 9.29019e10i 0.262653 + 0.721634i 0.998986 + 0.0450149i \(0.0143335\pi\)
−0.736333 + 0.676619i \(0.763444\pi\)
\(600\) −8.15280e10 + 1.03914e11i −0.629074 + 0.801807i
\(601\) 3.77021e10 + 2.13819e11i 0.288980 + 1.63888i 0.690714 + 0.723128i \(0.257297\pi\)
−0.401734 + 0.915756i \(0.631592\pi\)
\(602\) 1.94716e10 1.12419e10i 0.148257 0.0855961i
\(603\) 2.58470e10 + 1.05495e11i 0.195498 + 0.797928i
\(604\) 2.61235e10 4.52473e10i 0.196284 0.339973i
\(605\) −8.50345e10 + 2.33630e11i −0.634708 + 1.74385i
\(606\) 1.66980e9 + 2.68439e9i 0.0123816 + 0.0199047i
\(607\) 5.79489e10 + 4.86249e10i 0.426865 + 0.358182i 0.830767 0.556620i \(-0.187902\pi\)
−0.403902 + 0.914802i \(0.632346\pi\)
\(608\) 1.18625e10 1.41371e10i 0.0868081 0.103454i
\(609\) 2.52390e10 1.56997e10i 0.183486 0.114136i
\(610\) −3.50667e11 1.27632e11i −2.53265 0.921810i
\(611\) −4.27746e10 2.46959e10i −0.306917 0.177199i
\(612\) 7.73026e10 1.89397e10i 0.551047 0.135010i
\(613\) −4.89014e10 8.46998e10i −0.346322 0.599847i 0.639271 0.768981i \(-0.279236\pi\)
−0.985593 + 0.169135i \(0.945903\pi\)
\(614\) −4.06452e10 + 7.16685e9i −0.285980 + 0.0504261i
\(615\) −1.17243e11 9.19855e10i −0.819572 0.643012i
\(616\) −4.57279e9 + 1.66436e9i −0.0317584 + 0.0115591i
\(617\) −7.74177e10 1.36508e10i −0.534195 0.0941929i −0.0999579 0.994992i \(-0.531871\pi\)
−0.434237 + 0.900799i \(0.642982\pi\)
\(618\) 4.61802e10 + 5.14988e10i 0.316594 + 0.353056i
\(619\) 9.89604e9 8.30377e9i 0.0674061 0.0565604i −0.608462 0.793583i \(-0.708213\pi\)
0.675868 + 0.737022i \(0.263769\pi\)
\(620\) 1.23612e11i 0.836556i
\(621\) 1.10598e11 + 2.30320e11i 0.743671 + 1.54869i
\(622\) 1.25283e10 0.0837009
\(623\) 2.78877e10 + 3.32353e10i 0.185123 + 0.220621i
\(624\) 8.71555e9 + 4.14180e10i 0.0574852 + 0.273181i
\(625\) 1.17287e11 6.65168e11i 0.768652 4.35924i
\(626\) −4.37824e10 1.20291e11i −0.285104 0.783316i
\(627\) 2.81956e10 + 4.02120e9i 0.182436 + 0.0260187i
\(628\) 1.57349e10 + 8.92369e10i 0.101164 + 0.573728i
\(629\) 1.55937e11 9.00304e10i 0.996202 0.575157i
\(630\) 4.83431e10 + 7.23050e10i 0.306882 + 0.458993i
\(631\) −3.35311e10 + 5.80775e10i −0.211509 + 0.366345i −0.952187 0.305515i \(-0.901171\pi\)
0.740678 + 0.671861i \(0.234505\pi\)
\(632\) −1.50530e10 + 4.13578e10i −0.0943527 + 0.259232i
\(633\) −7.16699e10 + 2.35666e9i −0.446398 + 0.0146785i
\(634\) −5.77300e10 4.84412e10i −0.357309 0.299818i
\(635\) −3.16467e11 + 3.77151e11i −1.94641 + 2.31964i
\(636\) 4.66644e10 + 2.49339e10i 0.285205 + 0.152392i
\(637\) 1.45637e11 + 5.30074e10i 0.884531 + 0.321943i
\(638\) 1.33458e10 + 7.70519e9i 0.0805492 + 0.0465051i
\(639\) −4.46719e10 1.01445e11i −0.267936 0.608451i
\(640\) 1.46098e10 + 2.53048e10i 0.0870809 + 0.150829i
\(641\) 4.61777e10 8.14237e9i 0.273527 0.0482302i −0.0352021 0.999380i \(-0.511207\pi\)
0.308729 + 0.951150i \(0.400096\pi\)
\(642\) 1.52603e11 6.12944e10i 0.898303 0.360812i
\(643\) 5.22578e9 1.90203e9i 0.0305708 0.0111269i −0.326689 0.945132i \(-0.605933\pi\)
0.357260 + 0.934005i \(0.383711\pi\)
\(644\) −5.76617e10 1.01673e10i −0.335231 0.0591102i
\(645\) 6.47872e10 1.98022e11i 0.374326 1.14413i
\(646\) 8.17738e10 6.86164e10i 0.469552 0.394001i
\(647\) 8.47891e9i 0.0483863i 0.999707 + 0.0241932i \(0.00770168\pi\)
−0.999707 + 0.0241932i \(0.992298\pi\)
\(648\) −4.59851e10 4.20884e10i −0.260806 0.238706i
\(649\) 7.18575e10 0.405036
\(650\) −2.61156e11 3.11234e11i −1.46301 1.74354i
\(651\) 5.74395e10 + 1.87926e10i 0.319806 + 0.104632i
\(652\) 1.07685e10 6.10711e10i 0.0595887 0.337944i
\(653\) 4.02864e9 + 1.10686e10i 0.0221567 + 0.0608752i 0.950278 0.311403i \(-0.100799\pi\)
−0.928121 + 0.372278i \(0.878577\pi\)
\(654\) −2.11118e10 5.25615e10i −0.115402 0.287314i
\(655\) 1.73489e10 + 9.83906e10i 0.0942556 + 0.534550i
\(656\) −2.11970e10 + 1.22381e10i −0.114462 + 0.0660845i
\(657\) 1.77336e10 1.62361e11i 0.0951779 0.871404i
\(658\) −8.33550e9 + 1.44375e10i −0.0444660 + 0.0770174i
\(659\) −2.38467e9 + 6.55183e9i −0.0126441 + 0.0347393i −0.945854 0.324592i \(-0.894773\pi\)
0.933210 + 0.359331i \(0.116995\pi\)
\(660\) −2.12514e10 + 3.97726e10i −0.111999 + 0.209608i
\(661\) −1.08359e11 9.09238e10i −0.567621 0.476290i 0.313235 0.949676i \(-0.398587\pi\)
−0.880855 + 0.473385i \(0.843032\pi\)
\(662\) 1.11287e11 1.32626e11i 0.579444 0.690554i
\(663\) 8.04591e9 + 2.44690e11i 0.0416410 + 1.26637i
\(664\) −9.69264e10 3.52783e10i −0.498620 0.181483i
\(665\) 1.01029e11 + 5.83289e10i 0.516604 + 0.298261i
\(666\) −1.26507e11 6.23406e10i −0.643009 0.316865i
\(667\) 9.27094e10 + 1.60577e11i 0.468404 + 0.811299i
\(668\) −2.18221e10 + 3.84782e9i −0.109595 + 0.0193245i
\(669\) 2.56135e10 1.79595e11i 0.127869 0.896581i
\(670\) −2.16746e11 + 7.88890e10i −1.07560 + 0.391487i
\(671\) −9.31546e10 1.64257e10i −0.459530 0.0810276i
\(672\) 1.39796e10 2.94172e9i 0.0685516 0.0144253i
\(673\) −1.14548e11 + 9.61170e10i −0.558376 + 0.468533i −0.877766 0.479090i \(-0.840967\pi\)
0.319390 + 0.947623i \(0.396522\pi\)
\(674\) 1.12590e11i 0.545585i
\(675\) 5.79728e11 + 1.48310e11i 2.79260 + 0.714422i
\(676\) −2.57816e10 −0.123459
\(677\) −6.46895e10 7.70939e10i −0.307949 0.367000i 0.589767 0.807573i \(-0.299219\pi\)
−0.897716 + 0.440574i \(0.854775\pi\)
\(678\) −7.05936e9 + 6.33029e9i −0.0334077 + 0.0299575i
\(679\) −1.65848e10 + 9.40569e10i −0.0780244 + 0.442498i
\(680\) 5.78066e10 + 1.58822e11i 0.270360 + 0.742807i
\(681\) 9.08363e10 1.15778e11i 0.422349 0.538319i
\(682\) 5.44097e9 + 3.08573e10i 0.0251500 + 0.142633i
\(683\) −2.99772e11 + 1.73074e11i −1.37755 + 0.795331i −0.991865 0.127298i \(-0.959370\pi\)
−0.385689 + 0.922629i \(0.626036\pi\)
\(684\) −8.02773e10 2.33734e10i −0.366749 0.106782i
\(685\) −3.78863e10 + 6.56209e10i −0.172076 + 0.298044i
\(686\) 3.91157e10 1.07469e11i 0.176626 0.485276i
\(687\) −8.39232e10 1.34916e11i −0.376752 0.605670i
\(688\) −2.62147e10 2.19968e10i −0.117002 0.0981760i
\(689\) −1.04613e11 + 1.24673e11i −0.464206 + 0.553219i
\(690\) −4.60715e11 + 2.86584e11i −2.03252 + 1.26431i
\(691\) 3.08397e11 + 1.12247e11i 1.35269 + 0.492339i 0.913786 0.406196i \(-0.133145\pi\)
0.438903 + 0.898534i \(0.355367\pi\)
\(692\) −1.06337e11 6.13934e10i −0.463723 0.267730i
\(693\) 1.52505e10 + 1.59216e10i 0.0661226 + 0.0690324i
\(694\) −1.42596e11 2.46984e11i −0.614711 1.06471i
\(695\) −4.65285e11 + 8.20422e10i −1.99425 + 0.351640i
\(696\) −3.55927e10 2.79250e10i −0.151678 0.119002i
\(697\) −1.33040e11 + 4.84228e10i −0.563706 + 0.205172i
\(698\) 4.81368e10 + 8.48782e9i 0.202794 + 0.0357581i
\(699\) 1.28499e11 + 1.43298e11i 0.538259 + 0.600251i
\(700\) −1.05049e11 + 8.81467e10i −0.437523 + 0.367125i
\(701\) 1.31174e11i 0.543222i 0.962407 + 0.271611i \(0.0875563\pi\)
−0.962407 + 0.271611i \(0.912444\pi\)
\(702\) 1.55821e11 1.11762e11i 0.641618 0.460201i
\(703\) −1.89160e11 −0.774474
\(704\) 4.76085e9 + 5.67376e9i 0.0193818 + 0.0230983i
\(705\) 3.18115e10 + 1.51174e11i 0.128774 + 0.611957i
\(706\) −5.96584e10 + 3.38340e11i −0.240134 + 1.36186i
\(707\) 1.12261e9 + 3.08435e9i 0.00449316 + 0.0123449i
\(708\) −2.08837e11 2.97839e10i −0.831141 0.118536i
\(709\) −6.68245e10 3.78981e11i −0.264454 1.49980i −0.770584 0.637338i \(-0.780035\pi\)
0.506130 0.862457i \(-0.331076\pi\)
\(710\) 2.03854e11 1.17695e11i 0.802206 0.463154i
\(711\) 1.98970e11 1.30993e10i 0.778590 0.0512588i
\(712\) 3.30170e10 5.71870e10i 0.128475 0.222524i
\(713\) −1.28943e11 + 3.54268e11i −0.498930 + 1.37080i
\(714\) 8.25889e10 2.71570e9i 0.317782 0.0104493i
\(715\) −1.06260e11 8.91630e10i −0.406581 0.341162i
\(716\) 6.39130e10 7.61686e10i 0.243185 0.289817i
\(717\) −3.20437e11 1.71217e11i −1.21246 0.647844i
\(718\) 5.32071e10 + 1.93658e10i 0.200204 + 0.0728681i
\(719\) −2.54838e11 1.47131e11i −0.953562 0.550539i −0.0593765 0.998236i \(-0.518911\pi\)
−0.894186 + 0.447696i \(0.852245\pi\)
\(720\) 7.82475e10 1.06781e11i 0.291166 0.397342i
\(721\) 3.59090e10 + 6.21962e10i 0.132881 + 0.230156i
\(722\) 7.87893e10 1.38927e10i 0.289947 0.0511255i
\(723\) −3.11767e11 + 1.25224e11i −1.14098 + 0.458285i
\(724\) −3.88177e10 + 1.41285e10i −0.141278 + 0.0514211i
\(725\) 4.27669e11 + 7.54096e10i 1.54795 + 0.272945i
\(726\) 5.75295e10 1.75838e11i 0.207083 0.632947i
\(727\) −2.51738e11 + 2.11233e11i −0.901180 + 0.756179i −0.970421 0.241420i \(-0.922387\pi\)
0.0692410 + 0.997600i \(0.477942\pi\)
\(728\) 4.39441e10i 0.156450i
\(729\) −9.05508e10 + 2.67520e11i −0.320614 + 0.947210i
\(730\) 3.46840e11 1.22134
\(731\) −1.27237e11 1.51635e11i −0.445597 0.531042i
\(732\) 2.63924e11 + 8.63487e10i 0.919252 + 0.300754i
\(733\) 2.63346e10 1.49351e11i 0.0912245 0.517360i −0.904615 0.426230i \(-0.859841\pi\)
0.995839 0.0911292i \(-0.0290476\pi\)
\(734\) 4.86214e10 + 1.33586e11i 0.167511 + 0.460233i
\(735\) −1.80674e11 4.49819e11i −0.619079 1.54130i
\(736\) 1.54749e10 + 8.77625e10i 0.0527371 + 0.299087i
\(737\) −5.06337e10 + 2.92334e10i −0.171621 + 0.0990852i
\(738\) 8.94472e10 + 6.55455e10i 0.301538 + 0.220962i
\(739\) 1.02390e11 1.77344e11i 0.343304 0.594620i −0.641740 0.766922i \(-0.721787\pi\)
0.985044 + 0.172302i \(0.0551205\pi\)
\(740\) 1.02434e11 2.81436e11i 0.341601 0.938540i
\(741\) 1.21207e11 2.26842e11i 0.402027 0.752403i
\(742\) 4.20804e10 + 3.53097e10i 0.138824 + 0.116487i
\(743\) 2.49587e11 2.97446e11i 0.818967 0.976006i −0.181005 0.983482i \(-0.557935\pi\)
0.999972 + 0.00747567i \(0.00237960\pi\)
\(744\) −3.02300e9 9.19347e10i −0.00986614 0.300046i
\(745\) 1.31361e11 + 4.78114e10i 0.426422 + 0.155205i
\(746\) 1.21601e11 + 7.02064e10i 0.392629 + 0.226684i
\(747\) 3.06995e10 + 4.66307e11i 0.0985937 + 1.49758i
\(748\) 2.14210e10 + 3.71023e10i 0.0684280 + 0.118521i
\(749\) 1.68150e11 2.96493e10i 0.534279 0.0942079i
\(750\) −1.17175e11 + 8.21598e11i −0.370330 + 2.59666i
\(751\) 2.17440e11 7.91418e10i 0.683566 0.248798i 0.0231881 0.999731i \(-0.492618\pi\)
0.660378 + 0.750933i \(0.270396\pi\)
\(752\) 2.49882e10 + 4.40609e9i 0.0781382 + 0.0137779i
\(753\) −1.90457e11 + 4.00777e10i −0.592403 + 0.124659i
\(754\) 1.06604e11 8.94511e10i 0.329828 0.276758i
\(755\) 5.02678e11i 1.54704i
\(756\) −3.77226e10