Properties

Label 54.9.f.a.5.17
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 5.17
Character \(\chi\) \(=\) 54.5
Dual form 54.9.f.a.11.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(7.27231 + 8.66680i) q^{2} +(-36.0536 - 72.5337i) q^{3} +(-22.2270 + 126.055i) q^{4} +(0.862658 + 2.37013i) q^{5} +(366.442 - 839.957i) q^{6} +(117.968 + 669.031i) q^{7} +(-1254.14 + 724.077i) q^{8} +(-3961.28 + 5230.20i) q^{9} +O(q^{10})\) \(q+(7.27231 + 8.66680i) q^{2} +(-36.0536 - 72.5337i) q^{3} +(-22.2270 + 126.055i) q^{4} +(0.862658 + 2.37013i) q^{5} +(366.442 - 839.957i) q^{6} +(117.968 + 669.031i) q^{7} +(-1254.14 + 724.077i) q^{8} +(-3961.28 + 5230.20i) q^{9} +(-14.2680 + 24.7128i) q^{10} +(3733.30 - 10257.2i) q^{11} +(9944.63 - 2932.55i) q^{12} +(-5259.12 - 4412.93i) q^{13} +(-4940.46 + 5887.81i) q^{14} +(140.813 - 148.024i) q^{15} +(-15395.9 - 5603.66i) q^{16} +(96127.3 + 55499.1i) q^{17} +(-74136.8 + 3704.04i) q^{18} +(120831. + 209286. i) q^{19} +(-317.942 + 56.0618i) q^{20} +(44274.1 - 32677.6i) q^{21} +(116047. - 42237.5i) q^{22} +(97192.7 + 17137.7i) q^{23} +(97736.2 + 64861.7i) q^{24} +(299231. - 251085. i) q^{25} -77671.9i q^{26} +(522184. + 98758.6i) q^{27} -86957.0 q^{28} +(329524. + 392711. i) q^{29} +(2306.93 + 143.922i) q^{30} +(-239262. + 1.35692e6i) q^{31} +(-63398.2 - 174185. i) q^{32} +(-878589. + 99017.3i) q^{33} +(218068. + 1.23672e6i) q^{34} +(-1483.93 + 856.745i) q^{35} +(-571248. - 615592. i) q^{36} +(630476. - 1.09202e6i) q^{37} +(-935118. + 2.56922e6i) q^{38} +(-130476. + 540565. i) q^{39} +(-2798.05 - 2347.85i) q^{40} +(-1.77811e6 + 2.11907e6i) q^{41} +(605186. + 146073. i) q^{42} +(-123298. - 44876.6i) q^{43} +(1.20999e6 + 698588. i) q^{44} +(-15813.5 - 4876.88i) q^{45} +(558287. + 966981. i) q^{46} +(1.64445e6 - 289961. i) q^{47} +(148624. + 1.31876e6i) q^{48} +(4.98346e6 - 1.81383e6i) q^{49} +(4.35221e6 + 767411. i) q^{50} +(559823. - 8.97342e6i) q^{51} +(673167. - 564854. i) q^{52} +6.15335e6i q^{53} +(2.94156e6 + 5.24387e6i) q^{54} +27531.4 q^{55} +(-632379. - 753639. i) q^{56} +(1.08239e7 - 1.63099e7i) q^{57} +(-1.00715e6 + 5.71183e6i) q^{58} +(-901514. - 2.47689e6i) q^{59} +(15529.3 + 21040.3i) q^{60} +(-336561. - 1.90873e6i) q^{61} +(-1.35002e7 + 7.79433e6i) q^{62} +(-3.96647e6 - 2.03322e6i) q^{63} +(1.04858e6 - 1.81619e6i) q^{64} +(5922.40 - 16271.7i) q^{65} +(-7.24754e6 - 6.89447e6i) q^{66} +(-1.28444e7 - 1.07777e7i) q^{67} +(-9.13259e6 + 1.08838e7i) q^{68} +(-2.26109e6 - 7.66762e6i) q^{69} +(-18216.8 - 6630.38i) q^{70} +(-3.26869e6 - 1.88718e6i) q^{71} +(1.18092e6 - 9.42767e6i) q^{72} +(-1.56584e7 - 2.71211e7i) q^{73} +(1.40493e7 - 2.47727e6i) q^{74} +(-2.90005e7 - 1.26518e7i) q^{75} +(-2.90674e7 + 1.05797e7i) q^{76} +(7.30277e6 + 1.28768e6i) q^{77} +(-5.63383e6 + 2.80035e6i) q^{78} +(-1.69029e7 + 1.41832e7i) q^{79} -41324.4i q^{80} +(-1.16633e7 - 4.14366e7i) q^{81} -3.12965e7 q^{82} +(1.89813e7 + 2.26210e7i) q^{83} +(3.13511e6 + 6.30731e6i) q^{84} +(-48615.4 + 275711. i) q^{85} +(-507721. - 1.39495e6i) q^{86} +(1.66043e7 - 3.80602e7i) q^{87} +(2.74490e6 + 1.55671e7i) q^{88} +(1.93272e7 - 1.11586e7i) q^{89} +(-72733.8 - 172519. i) q^{90} +(2.33197e6 - 4.03910e6i) q^{91} +(-4.32060e6 + 1.18707e7i) q^{92} +(1.07049e8 - 3.15674e7i) q^{93} +(1.44720e7 + 1.21435e7i) q^{94} +(-391800. + 466929. i) q^{95} +(-1.03486e7 + 1.08785e7i) q^{96} +(-9.38126e7 - 3.41450e7i) q^{97} +(5.19613e7 + 2.99999e7i) q^{98} +(3.88584e7 + 6.01574e7i) 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
\(3\) −36.0536 72.5337i −0.445106 0.895478i
\(4\) −22.2270 + 126.055i −0.0868241 + 0.492404i
\(5\) 0.862658 + 2.37013i 0.00138025 + 0.00379221i 0.940381 0.340123i \(-0.110469\pi\)
−0.939001 + 0.343916i \(0.888247\pi\)
\(6\) 366.442 839.957i 0.282749 0.648115i
\(7\) 117.968 + 669.031i 0.0491329 + 0.278647i 0.999469 0.0325783i \(-0.0103718\pi\)
−0.950336 + 0.311225i \(0.899261\pi\)
\(8\) −1254.14 + 724.077i −0.306186 + 0.176777i
\(9\) −3961.28 + 5230.20i −0.603761 + 0.797165i
\(10\) −14.2680 + 24.7128i −0.00142680 + 0.00247128i
\(11\) 3733.30 10257.2i 0.254990 0.700578i −0.744468 0.667658i \(-0.767297\pi\)
0.999458 0.0329204i \(-0.0104808\pi\)
\(12\) 9944.63 2932.55i 0.479583 0.141423i
\(13\) −5259.12 4412.93i −0.184136 0.154509i 0.546060 0.837746i \(-0.316127\pi\)
−0.730196 + 0.683237i \(0.760571\pi\)
\(14\) −4940.46 + 5887.81i −0.128604 + 0.153264i
\(15\) 140.813 148.024i 0.00278148 0.00292392i
\(16\) −15395.9 5603.66i −0.234923 0.0855050i
\(17\) 96127.3 + 55499.1i 1.15094 + 0.664493i 0.949115 0.314929i \(-0.101981\pi\)
0.201821 + 0.979422i \(0.435314\pi\)
\(18\) −74136.8 + 3704.04i −0.706226 + 0.0352846i
\(19\) 120831. + 209286.i 0.927183 + 1.60593i 0.788012 + 0.615659i \(0.211110\pi\)
0.139170 + 0.990268i \(0.455556\pi\)
\(20\) −317.942 + 56.0618i −0.00198714 + 0.000350386i
\(21\) 44274.1 32677.6i 0.227653 0.168025i
\(22\) 116047. 42237.5i 0.495383 0.180305i
\(23\) 97192.7 + 17137.7i 0.347314 + 0.0612408i 0.344584 0.938755i \(-0.388020\pi\)
0.00272991 + 0.999996i \(0.499131\pi\)
\(24\) 97736.2 + 64861.7i 0.294585 + 0.195499i
\(25\) 299231. 251085.i 0.766032 0.642777i
\(26\) 77671.9i 0.169969i
\(27\) 522184. + 98758.6i 0.982582 + 0.185832i
\(28\) −86957.0 −0.141473
\(29\) 329524. + 392711.i 0.465902 + 0.555240i 0.946920 0.321471i \(-0.104177\pi\)
−0.481018 + 0.876711i \(0.659733\pi\)
\(30\) 2306.93 + 143.922i 0.00284806 + 0.000177681i
\(31\) −239262. + 1.35692e6i −0.259076 + 1.46929i 0.526313 + 0.850291i \(0.323574\pi\)
−0.785389 + 0.619002i \(0.787537\pi\)
\(32\) −63398.2 174185.i −0.0604612 0.166116i
\(33\) −878589. + 99017.3i −0.740850 + 0.0834940i
\(34\) 218068. + 1.23672e6i 0.163183 + 0.925459i
\(35\) −1483.93 + 856.745i −0.000988872 + 0.000570926i
\(36\) −571248. 615592.i −0.340106 0.366508i
\(37\) 630476. 1.09202e6i 0.336404 0.582670i −0.647349 0.762194i \(-0.724122\pi\)
0.983754 + 0.179524i \(0.0574557\pi\)
\(38\) −935118. + 2.56922e6i −0.448469 + 1.23216i
\(39\) −130476. + 540565.i −0.0563990 + 0.233663i
\(40\) −2798.05 2347.85i −0.00109299 0.000917127i
\(41\) −1.77811e6 + 2.11907e6i −0.629249 + 0.749910i −0.982631 0.185569i \(-0.940587\pi\)
0.353382 + 0.935479i \(0.385032\pi\)
\(42\) 605186. + 146073.i 0.194487 + 0.0469432i
\(43\) −123298. 44876.6i −0.0360646 0.0131264i 0.323925 0.946083i \(-0.394997\pi\)
−0.359989 + 0.932956i \(0.617220\pi\)
\(44\) 1.20999e6 + 698588.i 0.322828 + 0.186385i
\(45\) −15813.5 4876.88i −0.00385636 0.00118930i
\(46\) 558287. + 966981.i 0.124688 + 0.215967i
\(47\) 1.64445e6 289961.i 0.337000 0.0594222i −0.00258755 0.999997i \(-0.500824\pi\)
0.339587 + 0.940574i \(0.389713\pi\)
\(48\) 148624. + 1.31876e6i 0.0279979 + 0.248427i
\(49\) 4.98346e6 1.81383e6i 0.864463 0.314639i
\(50\) 4.35221e6 + 767411.i 0.696353 + 0.122786i
\(51\) 559823. 8.97342e6i 0.0827504 1.32641i
\(52\) 673167. 564854.i 0.0920682 0.0772544i
\(53\) 6.15335e6i 0.779845i 0.920848 + 0.389922i \(0.127498\pi\)
−0.920848 + 0.389922i \(0.872502\pi\)
\(54\) 2.94156e6 + 5.24387e6i 0.345942 + 0.616704i
\(55\) 27531.4 0.00300869
\(56\) −632379. 753639.i −0.0643021 0.0766322i
\(57\) 1.08239e7 1.63099e7i 1.02538 1.54508i
\(58\) −1.00715e6 + 5.71183e6i −0.0889984 + 0.504735i
\(59\) −901514. 2.47689e6i −0.0743985 0.204408i 0.896919 0.442195i \(-0.145800\pi\)
−0.971317 + 0.237787i \(0.923578\pi\)
\(60\) 15529.3 + 21040.3i 0.00119825 + 0.00162348i
\(61\) −336561. 1.90873e6i −0.0243077 0.137856i 0.970239 0.242150i \(-0.0778527\pi\)
−0.994546 + 0.104294i \(0.966742\pi\)
\(62\) −1.35002e7 + 7.79433e6i −0.913635 + 0.527487i
\(63\) −3.96647e6 2.03322e6i −0.251792 0.129069i
\(64\) 1.04858e6 1.81619e6i 0.0625000 0.108253i
\(65\) 5922.40 16271.7i 0.000331776 0.000911546i
\(66\) −7.24754e6 6.89447e6i −0.381957 0.363350i
\(67\) −1.28444e7 1.07777e7i −0.637403 0.534844i 0.265817 0.964024i \(-0.414358\pi\)
−0.903219 + 0.429179i \(0.858803\pi\)
\(68\) −9.13259e6 + 1.08838e7i −0.427128 + 0.509031i
\(69\) −2.26109e6 7.66762e6i −0.0997518 0.338271i
\(70\) −18216.8 6630.38i −0.000758718 0.000276151i
\(71\) −3.26869e6 1.88718e6i −0.128629 0.0742642i 0.434305 0.900766i \(-0.356994\pi\)
−0.562934 + 0.826502i \(0.690327\pi\)
\(72\) 1.18092e6 9.42767e6i 0.0439431 0.350812i
\(73\) −1.56584e7 2.71211e7i −0.551385 0.955026i −0.998175 0.0603876i \(-0.980766\pi\)
0.446790 0.894639i \(-0.352567\pi\)
\(74\) 1.40493e7 2.47727e6i 0.468520 0.0826127i
\(75\) −2.90005e7 1.26518e7i −0.916558 0.399861i
\(76\) −2.90674e7 + 1.05797e7i −0.871267 + 0.317115i
\(77\) 7.30277e6 + 1.28768e6i 0.207742 + 0.0366305i
\(78\) −5.63383e6 + 2.80035e6i −0.152204 + 0.0756544i
\(79\) −1.69029e7 + 1.41832e7i −0.433964 + 0.364139i −0.833445 0.552602i \(-0.813635\pi\)
0.399481 + 0.916742i \(0.369190\pi\)
\(80\) 41324.4i 0.00100890i
\(81\) −1.16633e7 4.14366e7i −0.270945 0.962595i
\(82\) −3.12965e7 −0.692213
\(83\) 1.89813e7 + 2.26210e7i 0.399957 + 0.476650i 0.928007 0.372563i \(-0.121521\pi\)
−0.528050 + 0.849213i \(0.677077\pi\)
\(84\) 3.13511e6 + 6.30731e6i 0.0629703 + 0.126686i
\(85\) −48615.4 + 275711.i −0.000931318 + 0.00528176i
\(86\) −507721. 1.39495e6i −0.00928178 0.0255015i
\(87\) 1.66043e7 3.80602e7i 0.289830 0.664346i
\(88\) 2.74490e6 + 1.55671e7i 0.0457716 + 0.259584i
\(89\) 1.93272e7 1.11586e7i 0.308041 0.177848i −0.338008 0.941143i \(-0.609753\pi\)
0.646050 + 0.763295i \(0.276420\pi\)
\(90\) −72733.8 172519.i −0.00110858 0.00262946i
\(91\) 2.33197e6 4.03910e6i 0.0340062 0.0589005i
\(92\) −4.32060e6 + 1.18707e7i −0.0603105 + 0.165702i
\(93\) 1.07049e8 3.15674e7i 1.43104 0.421994i
\(94\) 1.44720e7 + 1.21435e7i 0.185361 + 0.155536i
\(95\) −391800. + 466929.i −0.00481027 + 0.00573266i
\(96\) −1.03486e7 + 1.08785e7i −0.121841 + 0.128081i
\(97\) −9.38126e7 3.41450e7i −1.05968 0.385691i −0.247371 0.968921i \(-0.579567\pi\)
−0.812308 + 0.583229i \(0.801789\pi\)
\(98\) 5.19613e7 + 2.99999e7i 0.563347 + 0.325249i
\(99\) 3.88584e7 + 6.01574e7i 0.404524 + 0.626251i
\(100\) 2.49996e7 + 4.33006e7i 0.249996 + 0.433006i
\(101\) 1.91872e8 3.38323e7i 1.84386 0.325122i 0.860873 0.508819i \(-0.169918\pi\)
0.982983 + 0.183698i \(0.0588067\pi\)
\(102\) 8.18420e7 6.04056e7i 0.756094 0.558054i
\(103\) −1.26396e8 + 4.60043e7i −1.12301 + 0.408742i −0.835750 0.549110i \(-0.814967\pi\)
−0.287260 + 0.957853i \(0.592745\pi\)
\(104\) 9.79096e6 + 1.72641e6i 0.0836936 + 0.0147574i
\(105\) 115644. + 76745.9i 0.000951404 + 0.000631391i
\(106\) −5.33299e7 + 4.47491e7i −0.422423 + 0.354455i
\(107\) 1.44254e8i 1.10051i 0.834998 + 0.550253i \(0.185469\pi\)
−0.834998 + 0.550253i \(0.814531\pi\)
\(108\) −2.40556e7 + 6.36290e7i −0.176816 + 0.467692i
\(109\) −8.18417e7 −0.579787 −0.289893 0.957059i \(-0.593620\pi\)
−0.289893 + 0.957059i \(0.593620\pi\)
\(110\) 200217. + 238609.i 0.00136751 + 0.00162973i
\(111\) −1.01939e8 6.35965e6i −0.671503 0.0418930i
\(112\) 1.93279e6 1.09614e7i 0.0122832 0.0696617i
\(113\) 7.66148e7 + 2.10498e8i 0.469893 + 1.29102i 0.917836 + 0.396959i \(0.129934\pi\)
−0.447943 + 0.894062i \(0.647843\pi\)
\(114\) 2.20069e8 2.48019e7i 1.30299 0.146847i
\(115\) 43225.4 + 245144.i 0.000247143 + 0.00140162i
\(116\) −5.68276e7 + 3.28094e7i −0.313854 + 0.181204i
\(117\) 4.39133e7 1.00254e7i 0.234343 0.0535007i
\(118\) 1.49106e7 2.58259e7i 0.0769073 0.133207i
\(119\) −2.57907e7 + 7.08593e7i −0.128610 + 0.353353i
\(120\) −69418.1 + 287601.i −0.000334771 + 0.00138697i
\(121\) 7.29366e7 + 6.12011e7i 0.340255 + 0.285507i
\(122\) 1.40950e7 1.67978e7i 0.0636248 0.0758250i
\(123\) 2.17811e8 + 5.25728e7i 0.951610 + 0.229689i
\(124\) −1.65729e8 6.03206e7i −0.700991 0.255140i
\(125\) 1.70649e6 + 985243.i 0.00698979 + 0.00403556i
\(126\) −1.12239e7 4.91628e7i −0.0445309 0.195054i
\(127\) −1.35897e8 2.35380e8i −0.522390 0.904806i −0.999661 0.0260496i \(-0.991707\pi\)
0.477271 0.878756i \(-0.341626\pi\)
\(128\) 2.33661e7 4.12008e6i 0.0870455 0.0153485i
\(129\) 1.19025e6 + 1.05612e7i 0.00429813 + 0.0381377i
\(130\) 184093. 67004.3i 0.000644560 0.000234601i
\(131\) 1.90525e8 + 3.35946e7i 0.646943 + 0.114073i 0.487485 0.873131i \(-0.337914\pi\)
0.159458 + 0.987205i \(0.449025\pi\)
\(132\) 7.04670e6 1.12952e8i 0.0232108 0.372046i
\(133\) −1.25765e8 + 1.05529e8i −0.401931 + 0.337260i
\(134\) 1.89699e8i 0.588362i
\(135\) 216395. + 1.32284e6i 0.000651497 + 0.00398265i
\(136\) −1.60743e8 −0.469868
\(137\) 2.15635e8 + 2.56984e8i 0.612122 + 0.729498i 0.979694 0.200496i \(-0.0642555\pi\)
−0.367573 + 0.929995i \(0.619811\pi\)
\(138\) 5.00105e7 7.53577e7i 0.137894 0.207784i
\(139\) −5.16910e7 + 2.93154e8i −0.138470 + 0.785303i 0.833910 + 0.551900i \(0.186097\pi\)
−0.972380 + 0.233403i \(0.925014\pi\)
\(140\) −75014.2 206100.i −0.000195268 0.000536495i
\(141\) −8.03204e7 1.08824e8i −0.203212 0.275327i
\(142\) −7.41512e6 4.20532e7i −0.0182375 0.103430i
\(143\) −6.48980e7 + 3.74689e7i −0.155198 + 0.0896038i
\(144\) 9.02958e7 5.83261e7i 0.209999 0.135648i
\(145\) −646511. + 1.11979e6i −0.00146253 + 0.00253317i
\(146\) 1.21181e8 3.32941e8i 0.266699 0.732749i
\(147\) −3.11235e8 2.96073e8i −0.666530 0.634060i
\(148\) 1.23641e8 + 1.03747e8i 0.257701 + 0.216237i
\(149\) −3.80060e8 + 4.52937e8i −0.771093 + 0.918953i −0.998495 0.0548483i \(-0.982532\pi\)
0.227402 + 0.973801i \(0.426977\pi\)
\(150\) −1.01249e8 3.43350e8i −0.199999 0.678221i
\(151\) −5.22190e8 1.90062e8i −1.00443 0.365583i −0.213140 0.977022i \(-0.568369\pi\)
−0.791292 + 0.611438i \(0.790591\pi\)
\(152\) −3.03079e8 1.74983e8i −0.567781 0.327809i
\(153\) −6.71059e8 + 2.82918e8i −1.22460 + 0.516291i
\(154\) 4.19480e7 + 7.26560e7i 0.0745810 + 0.129178i
\(155\) −3.42249e6 + 603477.i −0.00592946 + 0.00104552i
\(156\) −6.52411e7 2.84623e7i −0.110160 0.0480586i
\(157\) 1.06062e9 3.86032e8i 1.74566 0.635368i 0.746122 0.665809i \(-0.231914\pi\)
0.999537 + 0.0304418i \(0.00969143\pi\)
\(158\) −2.45847e8 4.33494e7i −0.394490 0.0695593i
\(159\) 4.46325e8 2.21850e8i 0.698334 0.347114i
\(160\) 358151. 300524.i 0.000546495 0.000458564i
\(161\) 6.70466e7i 0.0997869i
\(162\) 2.74303e8 4.02423e8i 0.398264 0.584282i
\(163\) 5.22890e7 0.0740729 0.0370365 0.999314i \(-0.488208\pi\)
0.0370365 + 0.999314i \(0.488208\pi\)
\(164\) −2.27598e8 2.71240e8i −0.314625 0.374955i
\(165\) −992606. 1.99696e6i −0.00133919 0.00269422i
\(166\) −5.80140e7 + 3.29014e8i −0.0764013 + 0.433293i
\(167\) 2.81804e7 + 7.74251e7i 0.0362311 + 0.0995441i 0.956489 0.291768i \(-0.0942435\pi\)
−0.920258 + 0.391312i \(0.872021\pi\)
\(168\) −3.18647e7 + 7.30402e7i −0.0400012 + 0.0916906i
\(169\) −1.33466e8 7.56922e8i −0.163615 0.927906i
\(170\) −2.74308e6 + 1.58372e6i −0.00328430 + 0.00189619i
\(171\) −1.57326e9 1.97068e8i −1.83999 0.230479i
\(172\) 8.39747e6 1.45448e7i 0.00959478 0.0166186i
\(173\) 2.57624e8 7.07817e8i 0.287609 0.790200i −0.708790 0.705419i \(-0.750759\pi\)
0.996400 0.0847806i \(-0.0270189\pi\)
\(174\) 4.50612e8 1.32880e8i 0.491593 0.144965i
\(175\) 2.03283e8 + 1.70575e8i 0.216745 + 0.181871i
\(176\) −1.14955e8 + 1.36998e8i −0.119806 + 0.142779i
\(177\) −1.47155e8 + 1.54691e8i −0.149928 + 0.157606i
\(178\) 2.37263e8 + 8.63565e7i 0.236346 + 0.0860231i
\(179\) −1.83010e8 1.05661e8i −0.178264 0.102921i 0.408213 0.912887i \(-0.366152\pi\)
−0.586477 + 0.809966i \(0.699485\pi\)
\(180\) 966243. 1.88498e6i 0.000920442 0.00179563i
\(181\) 5.09350e8 + 8.82220e8i 0.474572 + 0.821983i 0.999576 0.0291169i \(-0.00926949\pi\)
−0.525004 + 0.851100i \(0.675936\pi\)
\(182\) 5.19649e7 9.16282e6i 0.0473614 0.00835109i
\(183\) −1.26313e8 + 9.32285e7i −0.112627 + 0.0831275i
\(184\) −1.34302e8 + 4.88820e7i −0.117169 + 0.0426459i
\(185\) 3.13211e6 + 552276.i 0.00267393 + 0.000471486i
\(186\) 1.05208e9 + 6.98204e8i 0.879017 + 0.583352i
\(187\) 9.28136e8 7.78799e8i 0.759006 0.636882i
\(188\) 2.13737e8i 0.171099i
\(189\) −4.47143e6 + 3.61008e8i −0.00350429 + 0.282924i
\(190\) −6.89607e6 −0.00529160
\(191\) 1.48576e8 + 1.77066e8i 0.111639 + 0.133046i 0.818970 0.573836i \(-0.194545\pi\)
−0.707331 + 0.706882i \(0.750101\pi\)
\(192\) −1.69540e8 1.05770e7i −0.124757 0.00778322i
\(193\) 7.38359e7 4.18744e8i 0.0532155 0.301800i −0.946570 0.322498i \(-0.895478\pi\)
0.999786 + 0.0206975i \(0.00658868\pi\)
\(194\) −3.86306e8 1.06137e9i −0.272725 0.749306i
\(195\) −1.39377e6 + 157078.i −0.000963944 + 0.000108637i
\(196\) 1.17876e8 + 6.68507e8i 0.0798731 + 0.452983i
\(197\) −1.35959e9 + 7.84959e8i −0.902698 + 0.521173i −0.878075 0.478524i \(-0.841172\pi\)
−0.0246238 + 0.999697i \(0.507839\pi\)
\(198\) −2.38782e8 + 7.74261e8i −0.155361 + 0.503764i
\(199\) 8.89583e8 1.54080e9i 0.567249 0.982505i −0.429587 0.903025i \(-0.641341\pi\)
0.996837 0.0794793i \(-0.0253258\pi\)
\(200\) −1.93473e8 + 5.31562e8i −0.120920 + 0.332226i
\(201\) −3.18661e8 + 1.32023e9i −0.195229 + 0.808842i
\(202\) 1.68857e9 + 1.41688e9i 1.01418 + 0.850997i
\(203\) −2.23862e8 + 2.66789e8i −0.131825 + 0.157103i
\(204\) 1.11870e9 + 2.70021e8i 0.645944 + 0.155911i
\(205\) −6.55637e6 2.38632e6i −0.00371234 0.00135118i
\(206\) −1.31790e9 7.60890e8i −0.731836 0.422526i
\(207\) −4.74641e8 + 4.40450e8i −0.258514 + 0.239892i
\(208\) 5.62405e7 + 9.74114e7i 0.0300466 + 0.0520423i
\(209\) 2.59778e9 4.58059e8i 1.36150 0.240069i
\(210\) 175856. + 1.56038e6i 9.04231e−5 + 0.000802331i
\(211\) 1.87362e9 6.81943e8i 0.945263 0.344047i 0.177021 0.984207i \(-0.443354\pi\)
0.768242 + 0.640160i \(0.221132\pi\)
\(212\) −7.75663e8 1.36770e8i −0.383999 0.0677093i
\(213\) −1.90361e7 + 3.05130e8i −0.00924823 + 0.148240i
\(214\) −1.25022e9 + 1.04906e9i −0.596117 + 0.500202i
\(215\) 330945.i 0.000154882i
\(216\) −7.26400e8 + 2.54245e8i −0.333704 + 0.116798i
\(217\) −9.36048e8 −0.422143
\(218\) −5.95178e8 7.09306e8i −0.263524 0.314056i
\(219\) −1.40265e9 + 2.11357e9i −0.609780 + 0.918841i
\(220\) −611940. + 3.47048e6i −0.000261227 + 0.00148149i
\(221\) −2.60632e8 7.16079e8i −0.109259 0.300187i
\(222\) −6.86214e8 9.29734e8i −0.282519 0.382778i
\(223\) −3.08475e8 1.74945e9i −0.124738 0.707427i −0.981463 0.191652i \(-0.938615\pi\)
0.856724 0.515774i \(-0.172496\pi\)
\(224\) 1.09056e8 6.29636e7i 0.0433170 0.0250091i
\(225\) 1.27886e8 + 2.55966e9i 0.0498992 + 0.998738i
\(226\) −1.26717e9 + 2.19481e9i −0.485738 + 0.841324i
\(227\) 1.09117e9 2.99797e9i 0.410951 1.12908i −0.545735 0.837958i \(-0.683750\pi\)
0.956686 0.291121i \(-0.0940282\pi\)
\(228\) 1.81536e9 + 1.72693e9i 0.671776 + 0.639050i
\(229\) 2.77343e9 + 2.32718e9i 1.00850 + 0.846229i 0.988139 0.153563i \(-0.0490749\pi\)
0.0203581 + 0.999793i \(0.493519\pi\)
\(230\) −1.81026e6 + 2.15739e6i −0.000646890 + 0.000770933i
\(231\) −1.69891e8 5.76122e8i −0.0596654 0.202333i
\(232\) −6.97621e8 2.53913e8i −0.240806 0.0876463i
\(233\) 2.45119e9 + 1.41519e9i 0.831673 + 0.480167i 0.854425 0.519574i \(-0.173910\pi\)
−0.0227521 + 0.999741i \(0.507243\pi\)
\(234\) 4.06240e8 + 3.07680e8i 0.135494 + 0.102621i
\(235\) 2.10585e6 + 3.64743e6i 0.000690487 + 0.00119596i
\(236\) 3.32263e8 5.85869e7i 0.107111 0.0188866i
\(237\) 1.63818e9 + 7.14676e8i 0.519239 + 0.226525i
\(238\) −8.01681e8 + 2.91788e8i −0.249858 + 0.0909410i
\(239\) −5.53235e9 9.75503e8i −1.69558 0.298976i −0.759433 0.650586i \(-0.774523\pi\)
−0.936147 + 0.351609i \(0.885635\pi\)
\(240\) −2.99741e6 + 1.48989e6i −0.000903445 + 0.000449066i
\(241\) 2.69011e9 2.25727e9i 0.797448 0.669138i −0.150129 0.988666i \(-0.547969\pi\)
0.947577 + 0.319528i \(0.103524\pi\)
\(242\) 1.07720e9i 0.314076i
\(243\) −2.58504e9 + 2.33992e9i −0.741383 + 0.671082i
\(244\) 2.48086e8 0.0699912
\(245\) 8.59804e6 + 1.02467e7i 0.00238635 + 0.00284395i
\(246\) 1.12835e9 + 2.27005e9i 0.308108 + 0.619862i
\(247\) 2.88097e8 1.63388e9i 0.0774018 0.438968i
\(248\) −6.82449e8 1.87501e9i −0.180411 0.495676i
\(249\) 9.56442e8 2.19235e9i 0.248806 0.570312i
\(250\) 3.87123e6 + 2.19548e7i 0.000991034 + 0.00562043i
\(251\) −8.19114e8 + 4.72916e8i −0.206371 + 0.119149i −0.599624 0.800282i \(-0.704683\pi\)
0.393252 + 0.919431i \(0.371350\pi\)
\(252\) 3.44461e8 4.54803e8i 0.0854157 0.112777i
\(253\) 5.38634e8 9.32941e8i 0.131465 0.227705i
\(254\) 1.05171e9 2.88955e9i 0.252675 0.694218i
\(255\) 2.17511e7 6.41413e6i 0.00514424 0.00151697i
\(256\) 2.05633e8 + 1.72547e8i 0.0478778 + 0.0401742i
\(257\) 5.39809e9 6.43320e9i 1.23739 1.47467i 0.410941 0.911662i \(-0.365200\pi\)
0.826452 0.563007i \(-0.190355\pi\)
\(258\) −8.28759e7 + 8.71199e7i −0.0187046 + 0.0196625i
\(259\) 8.04969e8 + 2.92985e8i 0.178888 + 0.0651097i
\(260\) 1.91949e6 + 1.10822e6i 0.000420043 + 0.000242512i
\(261\) −3.35929e9 + 1.67838e8i −0.723912 + 0.0361683i
\(262\) 1.09440e9 + 1.89555e9i 0.232257 + 0.402282i
\(263\) 6.05149e9 1.06704e9i 1.26485 0.223027i 0.499315 0.866420i \(-0.333585\pi\)
0.765536 + 0.643393i \(0.222474\pi\)
\(264\) 1.03018e9 7.60348e8i 0.212078 0.156530i
\(265\) −1.45843e7 + 5.30824e6i −0.00295734 + 0.00107638i
\(266\) −1.82920e9 3.22537e8i −0.365371 0.0644248i
\(267\) −1.50619e9 9.99567e8i −0.296370 0.196683i
\(268\) 1.64408e9 1.37955e9i 0.318701 0.267422i
\(269\) 3.78216e9i 0.722321i 0.932504 + 0.361161i \(0.117619\pi\)
−0.932504 + 0.361161i \(0.882381\pi\)
\(270\) −9.89111e6 + 1.14956e7i −0.00186119 + 0.00216309i
\(271\) −9.05266e9 −1.67841 −0.839207 0.543812i \(-0.816980\pi\)
−0.839207 + 0.543812i \(0.816980\pi\)
\(272\) −1.16897e9 1.39313e9i −0.213564 0.254516i
\(273\) −3.77047e8 2.35228e7i −0.0678804 0.00423485i
\(274\) −6.59064e8 + 3.73774e9i −0.116930 + 0.663142i
\(275\) −1.45830e9 4.00664e9i −0.254985 0.700567i
\(276\) 1.01680e9 1.14594e8i 0.175227 0.0197481i
\(277\) −1.59086e9 9.02221e9i −0.270217 1.53248i −0.753756 0.657154i \(-0.771760\pi\)
0.483539 0.875323i \(-0.339351\pi\)
\(278\) −2.91663e9 + 1.68391e9i −0.488317 + 0.281930i
\(279\) −6.14920e9 6.62654e9i −1.01485 1.09363i
\(280\) 1.24070e6 2.14895e6i 0.000201853 0.000349619i
\(281\) −3.55857e9 + 9.77709e9i −0.570756 + 1.56814i 0.232558 + 0.972583i \(0.425290\pi\)
−0.803314 + 0.595556i \(0.796932\pi\)
\(282\) 3.59042e8 1.48752e9i 0.0567739 0.235216i
\(283\) −2.75485e9 2.31160e9i −0.429490 0.360385i 0.402269 0.915521i \(-0.368222\pi\)
−0.831759 + 0.555137i \(0.812666\pi\)
\(284\) 3.10542e8 3.70089e8i 0.0477361 0.0568897i
\(285\) 4.79939e7 + 1.15842e7i 0.00727455 + 0.00175585i
\(286\) −7.96694e8 2.89973e8i −0.119077 0.0433404i
\(287\) −1.62748e9 9.39626e8i −0.239877 0.138493i
\(288\) 1.16216e9 + 3.58410e8i 0.168926 + 0.0520967i
\(289\) 2.67243e9 + 4.62879e9i 0.383103 + 0.663553i
\(290\) −1.44066e7 + 2.54028e6i −0.00203690 + 0.000359161i
\(291\) 9.05618e8 + 8.03562e9i 0.126291 + 1.12059i
\(292\) 3.76679e9 1.37100e9i 0.518132 0.188585i
\(293\) −4.86152e9 8.57216e8i −0.659631 0.116311i −0.166195 0.986093i \(-0.553148\pi\)
−0.493436 + 0.869782i \(0.664259\pi\)
\(294\) 3.02611e8 4.85055e9i 0.0405037 0.649235i
\(295\) 5.09286e6 4.27342e6i 0.000672471 0.000564270i
\(296\) 1.82605e9i 0.237874i
\(297\) 2.96245e9 4.98743e9i 0.380738 0.640990i
\(298\) −6.68943e9 −0.848251
\(299\) −4.35521e8 5.19033e8i −0.0544909 0.0649397i
\(300\) 2.23943e9 3.37445e9i 0.276472 0.416599i
\(301\) 1.54787e7 8.77839e7i 0.00188568 0.0106942i
\(302\) −2.15030e9 5.90790e9i −0.258507 0.710241i
\(303\) −9.37167e9 1.26974e10i −1.11185 1.50642i
\(304\) −6.87543e8 3.89925e9i −0.0805018 0.456548i
\(305\) 4.23361e6 2.44427e6i 0.000489228 0.000282456i
\(306\) −7.33214e9 3.75847e9i −0.836267 0.428672i
\(307\) −7.95801e9 + 1.37837e10i −0.895883 + 1.55171i −0.0631744 + 0.998003i \(0.520122\pi\)
−0.832708 + 0.553712i \(0.813211\pi\)
\(308\) −3.24637e8 + 8.91932e8i −0.0360740 + 0.0991126i
\(309\) 7.89389e9 + 7.50934e9i 0.865879 + 0.823697i
\(310\) −3.01196e7 2.52734e7i −0.00326139 0.00273663i
\(311\) −1.06760e10 + 1.27231e10i −1.14121 + 1.36004i −0.217906 + 0.975970i \(0.569923\pi\)
−0.923304 + 0.384071i \(0.874522\pi\)
\(312\) −2.27776e8 7.72418e8i −0.0240376 0.0815144i
\(313\) 1.21106e9 + 4.40789e8i 0.126179 + 0.0459254i 0.404338 0.914610i \(-0.367502\pi\)
−0.278159 + 0.960535i \(0.589724\pi\)
\(314\) 1.10588e10 + 6.38480e9i 1.13760 + 0.656793i
\(315\) 1.39729e6 1.11550e7i 0.000141921 0.00113300i
\(316\) −1.41217e9 2.44596e9i −0.141625 0.245302i
\(317\) 1.64012e10 2.89198e9i 1.62420 0.286390i 0.713872 0.700276i \(-0.246940\pi\)
0.910329 + 0.413886i \(0.135829\pi\)
\(318\) 5.16855e9 + 2.25485e9i 0.505429 + 0.220500i
\(319\) 5.25831e9 1.91387e9i 0.507789 0.184820i
\(320\) 5.20917e6 + 918517.i 0.000496785 + 8.75966e-5i
\(321\) 1.04633e10 5.20087e9i 0.985479 0.489842i
\(322\) −5.81080e8 + 4.87584e8i −0.0540521 + 0.0453551i
\(323\) 2.68242e10i 2.46443i
\(324\) 5.48254e9 5.49211e8i 0.497510 0.0498378i
\(325\) −2.68171e9 −0.240369
\(326\) 3.80262e8 + 4.53178e8i 0.0336676 + 0.0401235i
\(327\) 2.95069e9 + 5.93628e9i 0.258067 + 0.519186i
\(328\) 6.95626e8 3.94509e9i 0.0601008 0.340849i
\(329\) 3.87986e8 + 1.06598e9i 0.0331156 + 0.0909843i
\(330\) 1.00887e7 2.31252e7i 0.000850704 0.00194998i
\(331\) −9.91770e8 5.62460e9i −0.0826226 0.468576i −0.997844 0.0656254i \(-0.979096\pi\)
0.915222 0.402951i \(-0.132015\pi\)
\(332\) −3.27340e9 + 1.88990e9i −0.269430 + 0.155556i
\(333\) 3.21398e9 + 7.62330e9i 0.261376 + 0.619963i
\(334\) −4.66091e8 + 8.07293e8i −0.0374528 + 0.0648702i
\(335\) 1.44643e7 3.97404e7i 0.00114847 0.00315539i
\(336\) −8.64755e8 + 2.55005e8i −0.0678478 + 0.0200075i
\(337\) 9.59201e9 + 8.04866e9i 0.743687 + 0.624027i 0.933825 0.357730i \(-0.116449\pi\)
−0.190138 + 0.981757i \(0.560894\pi\)
\(338\) 5.58949e9 6.66129e9i 0.428258 0.510378i
\(339\) 1.25059e10 1.31464e10i 0.946928 0.995420i
\(340\) −3.36743e7 1.22565e7i −0.00251990 0.000917169i
\(341\) 1.30249e10 + 7.51995e9i 0.963293 + 0.556157i
\(342\) −9.73325e9 1.50682e10i −0.711465 1.10143i
\(343\) 3.75956e9 + 6.51175e9i 0.271619 + 0.470458i
\(344\) 1.87126e8 3.29954e7i 0.0133629 0.00235624i
\(345\) 1.62227e7 1.19736e7i 0.00114511 0.000845179i
\(346\) 8.00804e9 2.91469e9i 0.558756 0.203370i
\(347\) 6.35583e9 + 1.12070e9i 0.438384 + 0.0772989i 0.388484 0.921455i \(-0.372999\pi\)
0.0498995 + 0.998754i \(0.484110\pi\)
\(348\) 4.42863e9 + 2.93902e9i 0.301962 + 0.200394i
\(349\) 9.66824e9 8.11262e9i 0.651697 0.546839i −0.255888 0.966706i \(-0.582368\pi\)
0.907585 + 0.419868i \(0.137923\pi\)
\(350\) 3.00229e9i 0.200069i
\(351\) −2.31041e9 2.82374e9i −0.152216 0.186036i
\(352\) −2.02333e9 −0.131794
\(353\) 6.34816e9 + 7.56544e9i 0.408836 + 0.487232i 0.930693 0.365801i \(-0.119205\pi\)
−0.521857 + 0.853033i \(0.674761\pi\)
\(354\) −2.41083e9 1.50404e8i −0.153516 0.00957739i
\(355\) 1.65310e6 9.37521e6i 0.000104085 0.000590293i
\(356\) 9.77012e8 + 2.68432e9i 0.0608275 + 0.167122i
\(357\) 6.06953e9 6.84039e8i 0.373665 0.0421122i
\(358\) −4.15165e8 2.35452e9i −0.0252748 0.143341i
\(359\) −3.13632e9 + 1.81075e9i −0.188818 + 0.109014i −0.591429 0.806357i \(-0.701436\pi\)
0.402611 + 0.915371i \(0.368103\pi\)
\(360\) 2.33636e7 5.33391e6i 0.00139101 0.000317567i
\(361\) −2.07087e10 + 3.58685e10i −1.21934 + 2.11195i
\(362\) −3.94188e9 + 1.08302e10i −0.229546 + 0.630671i
\(363\) 1.80951e9 7.49688e9i 0.104216 0.431771i
\(364\) 4.57317e8 + 3.83735e8i 0.0260503 + 0.0218588i
\(365\) 5.07727e7 6.05086e7i 0.00286061 0.00340915i
\(366\) −1.72658e9 4.16743e8i −0.0962194 0.0232244i
\(367\) −1.91289e10 6.96234e9i −1.05445 0.383788i −0.244108 0.969748i \(-0.578495\pi\)
−0.810340 + 0.585960i \(0.800717\pi\)
\(368\) −1.40034e9 8.08485e8i −0.0763557 0.0440840i
\(369\) −4.03956e9 1.76941e10i −0.217886 0.954382i
\(370\) 1.79912e7 + 3.11617e7i 0.000959961 + 0.00166270i
\(371\) −4.11678e9 + 7.25900e8i −0.217301 + 0.0383161i
\(372\) 1.59987e9 + 1.41957e10i 0.0835433 + 0.741287i
\(373\) −2.06394e10 + 7.51211e9i −1.06625 + 0.388085i −0.814775 0.579777i \(-0.803139\pi\)
−0.251480 + 0.967863i \(0.580917\pi\)
\(374\) 1.34994e10 + 2.38031e9i 0.689966 + 0.121660i
\(375\) 9.93821e6 1.59300e8i 0.000502554 0.00805545i
\(376\) −1.85242e9 + 1.55436e9i −0.0926803 + 0.0777680i
\(377\) 3.51948e9i 0.174226i
\(378\) −3.16130e9 + 2.58661e9i −0.154845 + 0.126696i
\(379\) −1.61979e10 −0.785058 −0.392529 0.919740i \(-0.628400\pi\)
−0.392529 + 0.919740i \(0.628400\pi\)
\(380\) −5.01504e7 5.97669e7i −0.00240514 0.00286633i
\(381\) −1.21734e10 + 1.83434e10i −0.577715 + 0.870523i
\(382\) −4.54106e8 + 2.57536e9i −0.0213257 + 0.120944i
\(383\) −1.33762e10 3.67508e10i −0.621639 1.70794i −0.702941 0.711249i \(-0.748130\pi\)
0.0813020 0.996690i \(-0.474092\pi\)
\(384\) −1.14128e9 1.54629e9i −0.0524887 0.0711156i
\(385\) 3.24783e6 + 1.84194e7i 0.000147826 + 0.000838362i
\(386\) 4.16613e9 2.40532e9i 0.187665 0.108349i
\(387\) 7.23130e8 4.67102e8i 0.0322383 0.0208242i
\(388\) 6.38933e9 1.10666e10i 0.281922 0.488303i
\(389\) 5.56457e9 1.52885e10i 0.243015 0.667678i −0.756885 0.653548i \(-0.773280\pi\)
0.999900 0.0141302i \(-0.00449794\pi\)
\(390\) −1.14973e7 1.09372e7i −0.000496977 0.000472767i
\(391\) 8.39175e9 + 7.04151e9i 0.359042 + 0.301272i
\(392\) −4.93659e9 + 5.88320e9i −0.209066 + 0.249155i
\(393\) −4.43235e9 1.50307e10i −0.185808 0.630098i
\(394\) −1.66904e10 6.07482e9i −0.692601 0.252086i
\(395\) −4.81976e7 2.78269e7i −0.00197987 0.00114308i
\(396\) −8.44687e9 + 3.56119e9i −0.343491 + 0.144815i
\(397\) −3.63072e9 6.28859e9i −0.146161 0.253158i 0.783645 0.621209i \(-0.213358\pi\)
−0.929805 + 0.368052i \(0.880025\pi\)
\(398\) 1.98232e10 3.49536e9i 0.790024 0.139303i
\(399\) 1.21887e10 + 5.31747e9i 0.480911 + 0.209804i
\(400\) −6.01393e9 + 2.18889e9i −0.234919 + 0.0855036i
\(401\) −4.23798e10 7.47270e9i −1.63901 0.289001i −0.723206 0.690632i \(-0.757332\pi\)
−0.915802 + 0.401631i \(0.868443\pi\)
\(402\) −1.37595e10 + 6.83931e9i −0.526865 + 0.261884i
\(403\) 7.24631e9 6.08037e9i 0.274724 0.230521i
\(404\) 2.49385e10i 0.936150i
\(405\) 8.81487e7 6.33891e7i 0.00327639 0.00235610i
\(406\) −3.94020e9 −0.145016
\(407\) −8.84724e9 1.05437e10i −0.322426 0.384252i
\(408\) 5.79535e9 + 1.16593e10i 0.209141 + 0.420756i
\(409\) 6.21857e9 3.52673e10i 0.222227 1.26031i −0.645688 0.763601i \(-0.723429\pi\)
0.867915 0.496712i \(-0.165460\pi\)
\(410\) −2.69982e7 7.41768e7i −0.000955430 0.00262502i
\(411\) 1.08656e10 2.49060e10i 0.380790 0.872846i
\(412\) −2.98970e9 1.69554e10i −0.103762 0.588463i
\(413\) 1.55076e9 8.95334e8i 0.0533023 0.0307741i
\(414\) −7.26903e9 9.10528e8i −0.247443 0.0309950i
\(415\) −3.72405e7 + 6.45024e7i −0.00125552 + 0.00217462i
\(416\) −4.35247e8 + 1.19583e9i −0.0145332 + 0.0399297i
\(417\) 2.31272e10 6.81993e9i 0.764855 0.225546i
\(418\) 2.28618e10 + 1.91833e10i 0.748868 + 0.628375i
\(419\) 7.78165e9 9.27381e9i 0.252473 0.300886i −0.624890 0.780713i \(-0.714856\pi\)
0.877363 + 0.479827i \(0.159301\pi\)
\(420\) −1.22446e7 + 1.28717e7i −0.000393504 + 0.000413655i
\(421\) −3.00686e9 1.09441e9i −0.0957161 0.0348378i 0.293718 0.955892i \(-0.405107\pi\)
−0.389434 + 0.921054i \(0.627329\pi\)
\(422\) 1.95358e10 + 1.12790e10i 0.616002 + 0.355649i
\(423\) −4.99758e9 + 9.74943e9i −0.156098 + 0.304521i
\(424\) −4.45550e9 7.71716e9i −0.137858 0.238778i
\(425\) 4.26993e10 7.52904e9i 1.30878 0.230772i
\(426\) −2.78293e9 + 2.05402e9i −0.0845015 + 0.0623685i
\(427\) 1.23730e9 4.50339e8i 0.0372188 0.0135465i
\(428\) −1.81840e10 3.20633e9i −0.541894 0.0955505i
\(429\) 5.05756e9 + 3.35640e9i 0.149318 + 0.0990935i
\(430\) 2.86823e6 2.40673e6i 8.38959e−5 7.03970e-5i
\(431\) 6.83306e10i 1.98019i −0.140414 0.990093i \(-0.544843\pi\)
0.140414 0.990093i \(-0.455157\pi\)
\(432\) −7.48610e9 4.44662e9i −0.214942 0.127672i
\(433\) −5.34378e9 −0.152019 −0.0760093 0.997107i \(-0.524218\pi\)
−0.0760093 + 0.997107i \(0.524218\pi\)
\(434\) −6.80724e9 8.11255e9i −0.191872 0.228664i
\(435\) 1.04532e8 + 6.52139e6i 0.00291938 + 0.000182131i
\(436\) 1.81909e9 1.03166e10i 0.0503395 0.285489i
\(437\) 8.15725e9 + 2.24119e10i 0.223675 + 0.614543i
\(438\) −2.85184e10 + 3.21404e9i −0.774870 + 0.0873282i
\(439\) −5.95297e9 3.37610e10i −0.160279 0.908985i −0.953800 0.300443i \(-0.902866\pi\)
0.793521 0.608543i \(-0.208246\pi\)
\(440\) −3.45282e7 + 1.99349e7i −0.000921220 + 0.000531867i
\(441\) −1.02542e10 + 3.32496e10i −0.271110 + 0.879086i
\(442\) 4.31073e9 7.46640e9i 0.112944 0.195624i
\(443\) −3.62293e9 + 9.95391e9i −0.0940686 + 0.258451i −0.977799 0.209545i \(-0.932802\pi\)
0.883730 + 0.467996i \(0.155024\pi\)
\(444\) 3.06746e9 1.27086e10i 0.0789309 0.327014i
\(445\) 4.31201e7 + 3.61820e7i 0.00109961 + 0.000922684i
\(446\) 1.29188e10 1.53960e10i 0.326499 0.389107i
\(447\) 4.65557e10 + 1.12371e10i 1.16612 + 0.281465i
\(448\) 1.33878e9 + 4.87277e8i 0.0332352 + 0.0120966i
\(449\) −5.27520e10 3.04564e10i −1.29794 0.749364i −0.317889 0.948128i \(-0.602974\pi\)
−0.980047 + 0.198764i \(0.936307\pi\)
\(450\) −2.12540e10 + 1.97230e10i −0.518311 + 0.480975i
\(451\) 1.50974e10 + 2.61495e10i 0.364918 + 0.632057i
\(452\) −2.82373e10 + 4.97899e9i −0.676502 + 0.119286i
\(453\) 5.04095e9 + 4.47288e10i 0.119707 + 1.06217i
\(454\) 3.39182e10 1.23452e10i 0.798379 0.290586i
\(455\) 1.15849e7 + 2.04273e6i 0.000270300 + 4.76612e-5i
\(456\) −1.76506e9 + 2.82922e10i −0.0408225 + 0.654345i
\(457\) 3.46186e9 2.90485e9i 0.0793679 0.0665976i −0.602241 0.798315i \(-0.705725\pi\)
0.681608 + 0.731717i \(0.261281\pi\)
\(458\) 4.09607e10i 0.930905i
\(459\) 4.47152e10 + 3.84742e10i 1.00740 + 0.866799i
\(460\) −3.18625e7 −0.000711620
\(461\) −3.95573e10 4.71426e10i −0.875837 1.04378i −0.998680 0.0513553i \(-0.983646\pi\)
0.122844 0.992426i \(-0.460799\pi\)
\(462\) 3.75764e9 5.66215e9i 0.0824797 0.124284i
\(463\) −1.08640e10 + 6.16130e10i −0.236411 + 1.34075i 0.603211 + 0.797582i \(0.293888\pi\)
−0.839622 + 0.543171i \(0.817223\pi\)
\(464\) −2.87270e9 7.89268e9i −0.0619753 0.170276i
\(465\) 1.67165e8 + 2.26488e8i 0.00357548 + 0.00484433i
\(466\) 5.56059e9 + 3.15357e10i 0.117917 + 0.668742i
\(467\) −6.61899e10 + 3.82147e10i −1.39163 + 0.803458i −0.993496 0.113869i \(-0.963676\pi\)
−0.398135 + 0.917327i \(0.630342\pi\)
\(468\) 2.87700e8 + 5.75835e9i 0.00599731 + 0.120037i
\(469\) 5.69539e9 9.86471e9i 0.117715 0.203889i
\(470\) −1.62972e7 + 4.47762e7i −0.000333981 + 0.000917606i
\(471\) −6.62393e10 6.30125e10i −1.34596 1.28039i
\(472\) 2.92408e9 + 2.45360e9i 0.0589144 + 0.0494351i
\(473\) −9.20614e8 + 1.09715e9i −0.0183922 + 0.0219189i
\(474\) 5.71937e9 + 1.93951e10i 0.113301 + 0.384219i
\(475\) 8.87051e10 + 3.22860e10i 1.74251 + 0.634220i
\(476\) −8.35895e9 4.82604e9i −0.162826 0.0940076i
\(477\) −3.21833e10 2.43751e10i −0.621665 0.470840i
\(478\) −3.17785e10 5.50420e10i −0.608726 1.05434i
\(479\) 7.73209e10 1.36338e10i 1.46877 0.258984i 0.618691 0.785634i \(-0.287663\pi\)
0.850082 + 0.526650i \(0.176552\pi\)
\(480\) −3.47108e7 1.51430e7i −0.000653882 0.000285265i
\(481\) −8.13474e9 + 2.96080e9i −0.151972 + 0.0553132i
\(482\) 3.91267e10 + 6.89909e9i 0.724911 + 0.127821i
\(483\) 4.86314e9 2.41727e9i 0.0893569 0.0444157i
\(484\) −9.33588e9 + 7.83374e9i −0.170127 + 0.142754i
\(485\) 2.51804e8i 0.00455088i
\(486\) −3.90789e10 5.38745e9i −0.700482 0.0965691i
\(487\) 8.98636e10 1.59760 0.798800 0.601597i \(-0.205469\pi\)
0.798800 + 0.601597i \(0.205469\pi\)
\(488\) 1.80416e9 + 2.15012e9i 0.0318124 + 0.0379125i
\(489\) −1.88520e9 3.79271e9i −0.0329703 0.0663307i
\(490\) −2.62789e7 + 1.49035e8i −0.000455851 + 0.00258526i
\(491\) 3.94909e9 + 1.08500e10i 0.0679472 + 0.186683i 0.969019 0.246987i \(-0.0794405\pi\)
−0.901072 + 0.433670i \(0.857218\pi\)
\(492\) −1.14684e10 + 2.62877e10i −0.195723 + 0.448634i
\(493\) 9.88110e9 + 5.60385e10i 0.167270 + 0.948635i
\(494\) 1.62557e10 9.38521e9i 0.272959 0.157593i
\(495\) −1.09060e8 + 1.43995e8i −0.00181653 + 0.00239842i
\(496\) 1.12874e10 1.95503e10i 0.186495 0.323019i
\(497\) 8.76979e8 2.40948e9i 0.0143735 0.0394910i
\(498\) 2.59562e10 7.65416e9i 0.422011 0.124446i
\(499\) 2.70417e10 + 2.26907e10i 0.436146 + 0.365970i 0.834265 0.551364i \(-0.185892\pi\)
−0.398119 + 0.917334i \(0.630337\pi\)
\(500\) −1.62125e8 + 1.93213e8i −0.00259401 + 0.00309142i
\(501\) 4.59992e9 4.83548e9i 0.0730129 0.0767518i
\(502\) −1.00555e10 3.65991e9i −0.158340 0.0576309i
\(503\) −3.19092e10 1.84228e10i −0.498476 0.287795i 0.229608 0.973283i \(-0.426256\pi\)
−0.728084 + 0.685488i \(0.759589\pi\)
\(504\) 6.44671e9 3.22092e8i 0.0999116 0.00499181i
\(505\) 2.45707e8 + 4.25578e8i 0.00377792 + 0.00654355i
\(506\) 1.20027e10 2.11641e9i 0.183096 0.0322847i
\(507\) −5.00904e10 + 3.69705e10i −0.758094 + 0.559530i
\(508\) 3.26915e10 1.18987e10i 0.490886 0.178668i
\(509\) −4.83572e10 8.52668e9i −0.720427 0.127031i −0.198598 0.980081i \(-0.563639\pi\)
−0.521829 + 0.853050i \(0.674750\pi\)
\(510\) 2.13771e8 + 1.41867e8i 0.00315986 + 0.00209701i
\(511\) 1.62976e10 1.36753e10i 0.239024 0.200565i
\(512\) 3.03700e9i 0.0441942i
\(513\) 4.24274e10 + 1.21219e11i 0.612600 + 1.75026i
\(514\) 9.50119e10 1.36121
\(515\) −2.18073e8 2.59889e8i −0.00310008 0.00369453i
\(516\) −1.35775e9 8.47058e7i −0.0191523 0.00119485i
\(517\) 3.16506e9 1.79499e10i 0.0443016 0.251247i
\(518\) 3.31474e9 + 9.10718e9i 0.0460395 + 0.126493i
\(519\) −6.06289e10 + 6.83290e9i −0.835623 + 0.0941750i
\(520\) 4.35443e6 + 2.46952e7i 5.95550e−5 + 0.000337753i
\(521\) 6.41173e10 3.70181e10i 0.870211 0.502416i 0.00279245 0.999996i \(-0.499111\pi\)
0.867418 + 0.497580i \(0.165778\pi\)
\(522\) −2.58844e10 2.78937e10i −0.348623 0.375686i
\(523\) −3.69838e9 + 6.40578e9i −0.0494316 + 0.0856180i −0.889682 0.456580i \(-0.849074\pi\)
0.840251 + 0.542198i \(0.182408\pi\)
\(524\) −8.46957e9 + 2.32699e10i −0.112340 + 0.308653i
\(525\) 5.04334e9 2.08947e10i 0.0663867 0.275042i
\(526\) 5.32562e10 + 4.46872e10i 0.695708 + 0.583768i
\(527\) −9.83077e10 + 1.17159e11i −1.27452 + 1.51891i
\(528\) 1.40815e10 + 3.39885e9i 0.181182 + 0.0437317i
\(529\) −6.44355e10 2.34526e10i −0.822816 0.299481i
\(530\) −1.52067e8 8.77958e7i −0.00192722 0.00111268i
\(531\) 1.65258e10 + 5.09654e9i 0.207866 + 0.0641059i
\(532\) −1.05071e10 1.81989e10i −0.131171 0.227195i
\(533\) 1.87026e10 3.29777e9i 0.231735 0.0408612i
\(534\) −2.29041e9 2.03230e10i −0.0281675 0.249932i
\(535\) −3.41901e8 + 1.24442e8i −0.00417336 + 0.00151898i
\(536\) 2.39125e10 + 4.21642e9i 0.289712 + 0.0510840i
\(537\) −1.06581e9 + 1.70839e10i −0.0128169 + 0.205442i
\(538\) −3.27792e10 + 2.75050e10i −0.391264 + 0.328309i
\(539\) 5.78877e10i 0.685853i
\(540\) −1.71561e8 2.12495e6i −0.00201764 2.49905e-5i
\(541\) 6.22233e9 0.0726381 0.0363190 0.999340i \(-0.488437\pi\)
0.0363190 + 0.999340i \(0.488437\pi\)
\(542\) −6.58338e10 7.84576e10i −0.762872 0.909155i
\(543\) 4.56268e10 6.87523e10i 0.524833 0.790838i
\(544\) 3.57282e9 2.02625e10i 0.0407958 0.231365i
\(545\) −7.06014e7 1.93976e8i −0.000800253 0.00219868i
\(546\) −2.53813e9 3.43885e9i −0.0285591 0.0386940i
\(547\) 1.50643e10 + 8.54336e10i 0.168267 + 0.954288i 0.945632 + 0.325239i \(0.105445\pi\)
−0.777365 + 0.629050i \(0.783444\pi\)
\(548\) −3.71872e10 + 2.14700e10i −0.412355 + 0.238073i
\(549\) 1.13162e10 + 5.80073e9i 0.124570 + 0.0638547i
\(550\) 2.41196e10 4.17763e10i 0.263584 0.456540i
\(551\) −4.23721e10 + 1.16417e11i −0.459699 + 1.26301i
\(552\) 8.38767e9 + 7.97906e9i 0.0903410 + 0.0859400i
\(553\) −1.14830e10 9.63541e9i −0.122788 0.103031i
\(554\) 6.66245e10 7.94000e10i 0.707286 0.842910i
\(555\) −7.28652e7 2.47095e8i −0.000767977 0.00260431i
\(556\) −3.58048e10 1.30319e10i −0.374664 0.136366i
\(557\) −4.33469e10 2.50263e10i −0.450337 0.260002i 0.257636 0.966242i \(-0.417057\pi\)
−0.707972 + 0.706240i \(0.750390\pi\)
\(558\) 1.27120e10 1.01484e11i 0.131123 1.04679i
\(559\) 4.50399e8 + 7.80114e8i 0.00461265 + 0.00798934i
\(560\) 2.76473e7 4.87497e6i 0.000281126 4.95701e-5i
\(561\) −8.99518e10 3.92427e10i −0.908152 0.396193i
\(562\) −1.10615e11 + 4.02606e10i −1.10884 + 0.403585i
\(563\) 5.58516e10 + 9.84814e9i 0.555907 + 0.0980213i 0.444542 0.895758i \(-0.353367\pi\)
0.111365 + 0.993780i \(0.464478\pi\)
\(564\) 1.55031e10 7.70599e9i 0.153216 0.0761574i
\(565\) −4.32815e8 + 3.63175e8i −0.00424726 + 0.00356387i
\(566\) 4.06864e10i 0.396446i
\(567\) 2.63464e10 1.26913e10i 0.254912 0.122793i
\(568\) 5.46585e9 0.0525127
\(569\) 4.95758e9 + 5.90821e9i 0.0472956 + 0.0563647i 0.789174 0.614170i \(-0.210509\pi\)
−0.741878 + 0.670535i \(0.766065\pi\)
\(570\) 2.48628e8 + 5.00198e8i 0.00235533 + 0.00473851i
\(571\) 2.69956e10 1.53100e11i 0.253950 1.44022i −0.544802 0.838565i \(-0.683395\pi\)
0.798752 0.601660i \(-0.205494\pi\)
\(572\) −3.28067e9 9.01356e9i −0.0306463 0.0842000i
\(573\) 7.48657e9 1.71607e10i 0.0694487 0.159190i
\(574\) −3.69199e9 2.09383e10i −0.0340105 0.192883i
\(575\) 3.33861e10 1.92755e10i 0.305418 0.176333i
\(576\) 5.34532e9 + 1.26787e10i 0.0485606 + 0.115182i
\(577\) 2.96640e10 5.13796e10i 0.267625 0.463540i −0.700623 0.713532i \(-0.747094\pi\)
0.968248 + 0.249991i \(0.0804278\pi\)
\(578\) −2.06820e10 + 5.68234e10i −0.185303 + 0.509115i
\(579\) −3.30351e10 + 9.74164e9i −0.293942 + 0.0866798i
\(580\) −1.26786e8 1.06386e8i −0.00112036 0.000940094i
\(581\) −1.28950e10 + 1.53676e10i −0.113166 + 0.134866i
\(582\) −6.30572e10 + 6.62864e10i −0.549595 + 0.577740i
\(583\) 6.31159e10 + 2.29723e10i 0.546342 + 0.198852i
\(584\) 3.92755e10 + 2.26757e10i 0.337653 + 0.194944i
\(585\) 6.16438e7 + 9.54319e7i 0.000526339 + 0.000814836i
\(586\) −2.79251e10 4.83677e10i −0.236813 0.410171i
\(587\) 1.54639e10 2.72670e9i 0.130247 0.0229660i −0.108145 0.994135i \(-0.534491\pi\)
0.238391 + 0.971169i \(0.423380\pi\)
\(588\) 4.42395e10 3.26521e10i 0.370084 0.273150i
\(589\) −3.12895e11 + 1.13885e11i −2.59979 + 0.946246i
\(590\) 7.40737e7 + 1.30612e7i 0.000611302 + 0.000107789i
\(591\) 1.05954e11 + 7.03154e10i 0.868496 + 0.576369i
\(592\) −1.58261e10 + 1.32796e10i −0.128850 + 0.108118i
\(593\) 1.39210e11i 1.12578i −0.826532 0.562889i \(-0.809690\pi\)
0.826532 0.562889i \(-0.190310\pi\)
\(594\) 6.47690e10 1.05952e10i 0.520261 0.0851062i
\(595\) −1.90194e8 −0.00151750
\(596\) −4.86476e10 5.79760e10i −0.385546 0.459476i
\(597\) −1.43833e11 8.97327e9i −1.13230 0.0706405i
\(598\) 1.33112e9 7.54914e9i 0.0104091 0.0590328i
\(599\) 7.85465e10 + 2.15805e11i 0.610126 + 1.67631i 0.729940 + 0.683511i \(0.239548\pi\)
−0.119814 + 0.992796i \(0.538230\pi\)
\(600\) 4.55315e10 5.13142e9i 0.351324 0.0395943i
\(601\) −2.29647e10 1.30239e11i −0.176020 0.998260i −0.936960 0.349437i \(-0.886373\pi\)
0.760940 0.648823i \(-0.224738\pi\)
\(602\) 8.73371e8 5.04241e8i 0.00664987 0.00383930i
\(603\) 1.07250e11 2.44852e10i 0.811198 0.185197i
\(604\) 3.55650e10 6.16004e10i 0.267224 0.462845i
\(605\) −8.21354e7 + 2.25665e8i −0.000613068 + 0.00168439i
\(606\) 4.18925e10 1.73562e11i 0.310632 1.28696i
\(607\) −7.59225e10 6.37065e10i −0.559263 0.469277i 0.318801 0.947822i \(-0.396720\pi\)
−0.878063 + 0.478545i \(0.841164\pi\)
\(608\) 2.87940e10 3.43154e10i 0.210711 0.251116i
\(609\) 2.74222e10 + 6.61887e9i 0.199358 + 0.0481188i
\(610\) 5.19722e7 + 1.89163e7i 0.000375363 + 0.000136621i
\(611\) −9.92795e9 5.73190e9i −0.0712352 0.0411277i
\(612\) −2.07477e10 9.08790e10i −0.147899 0.647825i
\(613\) 2.13250e9 + 3.69359e9i 0.0151024 + 0.0261582i 0.873478 0.486864i \(-0.161859\pi\)
−0.858375 + 0.513022i \(0.828526\pi\)
\(614\) −1.77334e11 + 3.12687e10i −1.24772 + 0.220007i
\(615\) 6.32918e7 + 5.61593e8i 0.000442432 + 0.00392574i
\(616\) −1.00911e10 + 3.67285e9i −0.0700832 + 0.0255082i
\(617\) 2.38068e11 + 4.19778e10i 1.64271 + 0.289653i 0.917160 0.398520i \(-0.130476\pi\)
0.725547 + 0.688173i \(0.241587\pi\)
\(618\) −7.67514e9 + 1.23025e11i −0.0526178 + 0.843411i
\(619\) −1.07056e11 + 8.98305e10i −0.729202 + 0.611873i −0.929914 0.367777i \(-0.880119\pi\)
0.200712 + 0.979650i \(0.435674\pi\)
\(620\) 4.44837e8i 0.00301047i
\(621\) 4.90600e10 + 1.85477e10i 0.329884 + 0.124716i
\(622\) −1.87908e11 −1.25540
\(623\) 9.74542e9 + 1.16141e10i 0.0646917 + 0.0770965i
\(624\) 5.03794e9 7.59136e9i 0.0332288 0.0500704i
\(625\) 2.64953e10 1.50262e11i 0.173640 0.984760i
\(626\) 4.98695e9 + 1.37015e10i 0.0324742 + 0.0892221i
\(627\) −1.26884e11 1.71912e11i −0.820988 1.11234i
\(628\) 2.50872e10 + 1.42277e11i 0.161292 + 0.914734i
\(629\) 1.21212e11 6.99818e10i 0.774360 0.447077i
\(630\) 1.06840e8 6.90128e7i 0.000678222 0.000438094i
\(631\) −4.58416e10 + 7.94000e10i −0.289163 + 0.500845i −0.973610 0.228217i \(-0.926710\pi\)
0.684447 + 0.729062i \(0.260044\pi\)
\(632\) 1.09289e10 3.00268e10i 0.0685025 0.188209i
\(633\) −1.17015e11 1.11314e11i −0.728829 0.693324i
\(634\) 1.44339e11 + 1.21115e11i 0.893361 + 0.749619i
\(635\) 4.40650e8 5.25147e8i 0.00271019 0.00322988i
\(636\) 1.80450e10 + 6.11928e10i 0.110288 + 0.374000i
\(637\) −3.42129e10 1.24525e10i −0.207793 0.0756306i
\(638\) 5.48272e10 + 3.16545e10i 0.330913 + 0.191052i
\(639\) 2.28185e10 9.62026e9i 0.136862 0.0577010i
\(640\) 2.99221e7 + 5.18266e7i 0.000178350 + 0.000308910i
\(641\) −2.94206e10 + 5.18764e9i −0.174269 + 0.0307283i −0.260101 0.965581i \(-0.583756\pi\)
0.0858328 + 0.996310i \(0.472645\pi\)
\(642\) 1.21167e11 + 5.28608e10i 0.713255 + 0.311167i
\(643\) −5.06110e10 + 1.84209e10i −0.296075 + 0.107762i −0.485787 0.874077i \(-0.661467\pi\)
0.189712 + 0.981840i \(0.439245\pi\)
\(644\) −8.45159e9 1.49024e9i −0.0491354 0.00866390i
\(645\) −2.40047e7 + 1.19318e7i −0.000138694 + 6.89391e-5i
\(646\) −2.32480e11 + 1.95074e11i −1.33492 + 1.12013i
\(647\) 1.37220e10i 0.0783068i −0.999233 0.0391534i \(-0.987534\pi\)
0.999233 0.0391534i \(-0.0124661\pi\)
\(648\) 4.46306e10 + 4.35221e10i 0.253124 + 0.246837i
\(649\) −2.87715e10 −0.162175
\(650\) −1.95022e10 2.32419e10i −0.109252 0.130202i
\(651\) 3.37479e10 + 6.78951e10i 0.187898 + 0.378020i
\(652\) −1.16222e9 + 6.59131e9i −0.00643132 + 0.0364738i
\(653\) 7.31666e10 + 2.01024e11i 0.402402 + 1.10559i 0.961096 + 0.276216i \(0.0890806\pi\)
−0.558693 + 0.829374i \(0.688697\pi\)
\(654\) −2.99903e10 + 6.87435e10i −0.163934 + 0.375769i
\(655\) 8.47338e7 + 4.80549e8i 0.000460354 + 0.00261080i
\(656\) 3.92501e10 2.26611e10i 0.211946 0.122367i
\(657\) 2.03876e11 + 2.55377e10i 1.09422 + 0.137063i
\(658\) −6.41711e9 + 1.11148e10i −0.0342323 + 0.0592921i
\(659\) −6.44666e10 + 1.77121e11i −0.341817 + 0.939134i 0.643050 + 0.765824i \(0.277669\pi\)
−0.984867 + 0.173310i \(0.944554\pi\)
\(660\) 2.73790e8 8.07371e7i 0.00144292 0.000425498i
\(661\) −2.38219e11 1.99889e11i −1.24787 1.04709i −0.996866 0.0791040i \(-0.974794\pi\)
−0.251006 0.967985i \(-0.580761\pi\)
\(662\) 4.15349e10 4.94993e10i 0.216262 0.257732i
\(663\) −4.25432e10 + 4.47218e10i −0.220179 + 0.231454i
\(664\) −4.01845e10 1.46260e10i −0.206722 0.0752406i
\(665\) −3.58610e8 2.07043e8i −0.00183373 0.00105870i
\(666\) −4.26966e10 + 8.32939e10i −0.217018 + 0.423366i
\(667\) 2.52971e10 + 4.38159e10i 0.127811 + 0.221375i
\(668\) −1.03862e10 + 1.83137e9i −0.0521617 + 0.00919751i
\(669\) −1.15772e11 + 8.54487e10i −0.577963 + 0.426580i
\(670\) 4.49611e8 1.63645e8i 0.00223120 0.000812089i
\(671\) −2.08346e10 3.67371e9i −0.102777 0.0181224i
\(672\) −8.49885e9 5.64018e9i −0.0416757 0.0276577i
\(673\) 1.55301e11 1.30313e11i 0.757031 0.635225i −0.180321 0.983608i \(-0.557714\pi\)
0.937352 + 0.348383i \(0.113269\pi\)
\(674\) 1.41664e11i 0.686469i
\(675\) 1.81051e11 1.01561e11i 0.872137 0.489228i
\(676\) 9.83806e10 0.471110
\(677\) 1.37350e11 + 1.63687e11i 0.653843 + 0.779219i 0.986488 0.163833i \(-0.0523857\pi\)
−0.332646 + 0.943052i \(0.607941\pi\)
\(678\) 2.04884e11 + 1.27821e10i 0.969592 + 0.0604898i
\(679\) 1.17771e10 6.67915e10i 0.0554065 0.314226i
\(680\) −1.38666e8 3.80982e8i −0.000648536 0.00178184i
\(681\) −2.56795e11 + 2.89409e10i −1.19398 + 0.134562i
\(682\) 2.95475e10 + 1.67572e11i 0.136579 + 0.774576i
\(683\) 1.73242e11 1.00021e11i 0.796105 0.459632i −0.0460023 0.998941i \(-0.514648\pi\)
0.842107 + 0.539310i \(0.181315\pi\)
\(684\) 5.98102e10 1.93937e11i 0.273244 0.886005i
\(685\) −4.23067e8 + 7.32774e8i −0.00192153 + 0.00332819i
\(686\) −2.90954e10 + 7.99388e10i −0.131379 + 0.360962i
\(687\) 6.88071e10 2.85070e11i 0.308892 1.27975i
\(688\) 1.64681e9 + 1.38183e9i 0.00735002 + 0.00616740i
\(689\) 2.71543e10 3.23612e10i 0.120493 0.143598i
\(690\) 2.21750e8 + 5.35235e7i 0.000978288 + 0.000236128i
\(691\) 3.84965e11 + 1.40116e11i 1.68853 + 0.614575i 0.994439 0.105312i \(-0.0335841\pi\)
0.694092 + 0.719887i \(0.255806\pi\)
\(692\) 8.34980e10 + 4.82076e10i 0.364126 + 0.210228i
\(693\) −3.56631e10 + 3.30941e10i −0.154627 + 0.143489i
\(694\) 3.65087e10 + 6.32348e10i 0.157383 + 0.272595i
\(695\) −7.39407e8 + 1.30377e8i −0.00316916 + 0.000558809i
\(696\) 6.73447e9 + 5.97555e10i 0.0286990 + 0.254649i
\(697\) −2.88531e11 + 1.05017e11i −1.22254 + 0.444967i
\(698\) 1.40621e11 + 2.47953e10i 0.592418 + 0.104459i
\(699\) 1.42751e10 2.28816e11i 0.0597959 0.958470i
\(700\) −2.60203e10 + 2.18336e10i −0.108373 + 0.0909354i
\(701\) 1.75898e11i 0.728432i −0.931315 0.364216i \(-0.881337\pi\)
0.931315 0.364216i \(-0.118663\pi\)
\(702\) 7.67077e9 4.05590e10i 0.0315857 0.167009i
\(703\) 3.04725e11 1.24763
\(704\) −1.47143e10 1.75358e10i −0.0599030 0.0713896i
\(705\) 1.88639e8 2.84248e8i 0.000763614 0.00115064i
\(706\) −1.94024e10 + 1.10037e11i −0.0780974 + 0.442913i
\(707\) 4.52697e10 + 1.24377e11i 0.181188 + 0.497810i
\(708\) −1.62288e10 2.19880e10i −0.0645882 0.0875090i
\(709\) 3.96309e10 + 2.24758e11i 0.156837 + 0.889469i 0.957087 + 0.289801i \(0.0935893\pi\)
−0.800249 + 0.599667i \(0.795300\pi\)
\(710\) 9.32750e7 5.38524e7i 0.000367056 0.000211920i
\(711\) −7.22402e9 1.44590e11i −0.0282683 0.565794i
\(712\) −1.61593e10 + 2.79888e10i −0.0628787 + 0.108909i
\(713\) −4.65091e10 + 1.27783e11i −0.179961 + 0.494440i
\(714\) 5.00680e10 + 4.76289e10i 0.192649 + 0.183264i
\(715\) −1.44791e8 1.21494e8i −0.000554010 0.000464869i
\(716\) 1.73869e10 2.07209e10i 0.0661562 0.0788419i
\(717\) 1.28704e11 + 4.36452e11i 0.486986 + 1.65143i
\(718\) −3.85017e10 1.40135e10i −0.144871 0.0527289i
\(719\) 1.04514e11 + 6.03413e10i 0.391075 + 0.225787i 0.682626 0.730768i \(-0.260838\pi\)
−0.291551 + 0.956555i \(0.594171\pi\)
\(720\) 2.16135e8 + 1.63698e8i 0.000804258 + 0.000609133i
\(721\) −4.56890e10 7.91357e10i −0.169072 0.292840i
\(722\) −4.61465e11 + 8.13687e10i −1.69820 + 0.299439i
\(723\) −2.60717e11 1.13741e11i −0.954147 0.416259i
\(724\) −1.22530e11 + 4.45973e10i −0.445952 + 0.162313i
\(725\) 1.97207e11 + 3.47730e10i 0.713791 + 0.125861i
\(726\) 7.81333e10 3.88369e10i 0.281248 0.139797i
\(727\) 3.01407e11 2.52911e11i 1.07899 0.905377i 0.0831500 0.996537i \(-0.473502\pi\)
0.995836 + 0.0911601i \(0.0290575\pi\)
\(728\) 6.75412e9i 0.0240460i
\(729\) 2.62923e11 + 1.03140e11i 0.930933 + 0.365190i
\(730\) 8.93651e8 0.00314685
\(731\) −9.36165e9 1.11568e10i −0.0327856 0.0390723i
\(732\) −8.94440e9 1.79946e10i −0.0311535 0.0626756i
\(733\) 7.58467e10 4.30148e11i 0.262737 1.49005i −0.512666 0.858588i \(-0.671342\pi\)
0.775403 0.631467i \(-0.217547\pi\)
\(734\) −7.87699e10 2.16419e11i −0.271379 0.745607i
\(735\) 4.33244e8 9.93079e8i 0.00148451 0.00340279i
\(736\) −3.17671e9 1.80160e10i −0.0108260 0.0613970i
\(737\) −1.58501e11 + 9.15104e10i −0.537231 + 0.310171i
\(738\) 1.23974e11 1.63687e11i 0.417932 0.551809i
\(739\) 1.42101e11 2.46126e11i 0.476453 0.825240i −0.523183 0.852220i \(-0.675256\pi\)
0.999636 + 0.0269800i \(0.00858904\pi\)
\(740\) −1.39235e8 + 3.82544e8i −0.000464323 + 0.00127572i
\(741\) −1.28898e11 + 3.80105e10i −0.427538 + 0.126076i
\(742\) −3.62297e10 3.04004e10i −0.119523 0.100291i
\(743\) −1.16080e11 + 1.38339e11i −0.380892 + 0.453930i −0.922096 0.386962i \(-0.873524\pi\)
0.541203 + 0.840892i \(0.317969\pi\)
\(744\) −1.11397e11 + 1.17102e11i −0.363565 + 0.382183i
\(745\) −1.40138e9 5.10062e8i −0.00454917 0.00165576i
\(746\) −2.15202e11 1.24247e11i −0.694850 0.401172i
\(747\) −1.93502e11 + 9.66782e9i −0.621447 + 0.0310489i
\(748\) 7.75421e10 + 1.34307e11i 0.247703 + 0.429034i
\(749\) −9.65103e10 + 1.70174e10i −0.306652 + 0.0540711i
\(750\) 1.45289e9 1.07234e9i 0.00459186 0.00338914i
\(751\) −4.61883e11 + 1.68112e11i −1.45202 + 0.528492i −0.943154 0.332355i \(-0.892157\pi\)
−0.508864 + 0.860847i \(0.669934\pi\)
\(752\) −2.69427e10 4.75073e9i −0.0842500 0.0148555i
\(753\) 6.38343e10 + 4.23631e10i 0.198552 + 0.131767i
\(754\) 3.05026e10 2.55947e10i 0.0943738 0.0791890i
\(755\) 1.40162e9i 0.00431362i