Properties

Label 43.10.c.a.6.13
Level 43
Weight 10
Character 43.6
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 6.13
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.13

$q$-expansion

\(f(q)\) \(=\) \(q-11.0082 q^{2} +(-0.196357 + 0.340100i) q^{3} -390.819 q^{4} +(-1072.23 + 1857.16i) q^{5} +(2.16154 - 3.74389i) q^{6} +(3698.39 + 6405.81i) q^{7} +9938.43 q^{8} +(9841.42 + 17045.8i) q^{9} +O(q^{10})\) \(q-11.0082 q^{2} +(-0.196357 + 0.340100i) q^{3} -390.819 q^{4} +(-1072.23 + 1857.16i) q^{5} +(2.16154 - 3.74389i) q^{6} +(3698.39 + 6405.81i) q^{7} +9938.43 q^{8} +(9841.42 + 17045.8i) q^{9} +(11803.4 - 20444.0i) q^{10} -22256.9 q^{11} +(76.7399 - 132.917i) q^{12} +(-26087.3 - 45184.5i) q^{13} +(-40712.7 - 70516.5i) q^{14} +(-421.080 - 729.331i) q^{15} +90695.0 q^{16} +(78745.5 + 136391. i) q^{17} +(-108337. - 187644. i) q^{18} +(-411179. + 712183. i) q^{19} +(419049. - 725814. i) q^{20} -2904.82 q^{21} +245009. q^{22} +(-838605. + 1.45251e6i) q^{23} +(-1951.48 + 3380.06i) q^{24} +(-1.32280e6 - 2.29116e6i) q^{25} +(287175. + 497401. i) q^{26} -15459.5 q^{27} +(-1.44540e6 - 2.50351e6i) q^{28} +(-1.78342e6 - 3.08897e6i) q^{29} +(4635.34 + 8028.64i) q^{30} +(1.79439e6 - 3.10797e6i) q^{31} -6.08687e6 q^{32} +(4370.30 - 7569.58i) q^{33} +(-866848. - 1.50142e6i) q^{34} -1.58621e7 q^{35} +(-3.84622e6 - 6.66184e6i) q^{36} +(-1.48951e6 + 2.57991e6i) q^{37} +(4.52635e6 - 7.83986e6i) q^{38} +20489.7 q^{39} +(-1.06563e7 + 1.84573e7i) q^{40} -3.19453e6 q^{41} +31976.8 q^{42} +(5.15455e6 - 2.18180e7i) q^{43} +8.69844e6 q^{44} -4.22091e7 q^{45} +(9.23155e6 - 1.59895e7i) q^{46} +4.11426e7 q^{47} +(-17808.6 + 30845.3i) q^{48} +(-7.17944e6 + 1.24351e7i) q^{49} +(1.45617e7 + 2.52215e7i) q^{50} -61848.8 q^{51} +(1.01954e7 + 1.76590e7i) q^{52} +(2.88959e7 - 5.00492e7i) q^{53} +170181. q^{54} +(2.38646e7 - 4.13347e7i) q^{55} +(3.67562e7 + 6.36637e7i) q^{56} +(-161475. - 279684. i) q^{57} +(1.96323e7 + 3.40041e7i) q^{58} -1.33906e8 q^{59} +(164566. + 285037. i) q^{60} +(7.72802e7 + 1.33853e8i) q^{61} +(-1.97530e7 + 3.42133e7i) q^{62} +(-7.27949e7 + 1.26085e8i) q^{63} +2.05697e7 q^{64} +1.11887e8 q^{65} +(-48109.2 + 83327.6i) q^{66} +(1.31732e8 - 2.28167e8i) q^{67} +(-3.07753e7 - 5.33043e7i) q^{68} +(-329331. - 570418. i) q^{69} +1.74614e8 q^{70} +(-3.35525e7 - 5.81147e7i) q^{71} +(9.78083e7 + 1.69409e8i) q^{72} +(-5.68910e6 - 9.85381e6i) q^{73} +(1.63968e7 - 2.84002e7i) q^{74} +1.03896e6 q^{75} +(1.60697e8 - 2.78335e8i) q^{76} +(-8.23150e7 - 1.42574e8i) q^{77} -225555. q^{78} +(1.74120e8 + 3.01584e8i) q^{79} +(-9.72461e7 + 1.68435e8i) q^{80} +(-1.93706e8 + 3.35508e8i) q^{81} +3.51661e7 q^{82} +(-1.91813e8 + 3.32230e8i) q^{83} +1.13526e6 q^{84} -3.37734e8 q^{85} +(-5.67424e7 + 2.40177e8i) q^{86} +1.40074e6 q^{87} -2.21199e8 q^{88} +(1.18887e8 - 2.05918e8i) q^{89} +4.64647e8 q^{90} +(1.92962e8 - 3.34220e8i) q^{91} +(3.27743e8 - 5.67667e8i) q^{92} +(704680. + 1.22054e6i) q^{93} -4.52906e8 q^{94} +(-8.81758e8 - 1.52725e9i) q^{95} +(1.19520e6 - 2.07014e6i) q^{96} -2.84581e8 q^{97} +(7.90328e7 - 1.36889e8i) q^{98} +(-2.19040e8 - 3.79388e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} + O(q^{10}) \) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} - 6237q^{10} - 180682q^{11} + 274344q^{12} + 115245q^{13} - 171208q^{14} + 138833q^{15} + 4289206q^{16} + 65180q^{17} + 603985q^{18} + 39150q^{19} - 2709775q^{20} - 3105162q^{21} + 598456q^{22} + 1285907q^{23} - 292550q^{24} - 14709917q^{25} + 5332695q^{26} - 20118002q^{27} - 5475298q^{28} + 1274091q^{29} + 28424751q^{30} + 2899781q^{31} - 16322030q^{32} + 30668912q^{33} + 6822099q^{34} - 14750922q^{35} - 113819232q^{36} - 13772217q^{37} + 2700532q^{38} + 49876982q^{39} - 55802359q^{40} + 5375394q^{41} - 62768266q^{42} - 4250879q^{43} - 125171958q^{44} + 74719384q^{45} - 91405220q^{46} + 46104596q^{47} + 294588191q^{48} - 233221733q^{49} + 380339342q^{50} + 229598406q^{51} + 166281612q^{52} + 125396641q^{53} - 137752484q^{54} + 139471854q^{55} + 41104589q^{56} - 289586721q^{57} - 183782516q^{58} - 637949078q^{59} - 70735747q^{60} - 95573327q^{61} + 181277053q^{62} + 226632970q^{63} + 712599660q^{64} - 498753718q^{65} - 349240445q^{66} - 276270786q^{67} + 1034771928q^{68} - 199705103q^{69} + 1780847990q^{70} + 651945247q^{71} - 270063054q^{72} - 182725322q^{73} - 193737672q^{74} - 3155252572q^{75} + 492133584q^{76} + 216024528q^{77} + 2562586420q^{78} - 376932221q^{79} - 783129021q^{80} - 2146956496q^{81} + 2373824428q^{82} + 1008544071q^{83} - 9413139208q^{84} - 1131353054q^{85} - 1641459050q^{86} + 5060470018q^{87} + 369936980q^{88} + 2244184366q^{89} + 3302428348q^{90} + 3951711q^{91} + 4361095637q^{92} + 3133616089q^{93} + 3002217406q^{94} + 1515822931q^{95} + 69408612q^{96} - 6951085934q^{97} + 1120193981q^{98} + 1264470179q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −11.0082 −0.486499 −0.243250 0.969964i \(-0.578213\pi\)
−0.243250 + 0.969964i \(0.578213\pi\)
\(3\) −0.196357 + 0.340100i −0.00139959 + 0.00242416i −0.866724 0.498787i \(-0.833779\pi\)
0.865325 + 0.501212i \(0.167112\pi\)
\(4\) −390.819 −0.763319
\(5\) −1072.23 + 1857.16i −0.767227 + 1.32888i 0.171835 + 0.985126i \(0.445031\pi\)
−0.939061 + 0.343750i \(0.888303\pi\)
\(6\) 2.16154 3.74389i 0.000680898 0.00117935i
\(7\) 3698.39 + 6405.81i 0.582200 + 1.00840i 0.995218 + 0.0976769i \(0.0311412\pi\)
−0.413018 + 0.910723i \(0.635525\pi\)
\(8\) 9938.43 0.857853
\(9\) 9841.42 + 17045.8i 0.499996 + 0.866019i
\(10\) 11803.4 20444.0i 0.373255 0.646497i
\(11\) −22256.9 −0.458351 −0.229176 0.973385i \(-0.573603\pi\)
−0.229176 + 0.973385i \(0.573603\pi\)
\(12\) 76.7399 132.917i 0.00106833 0.00185040i
\(13\) −26087.3 45184.5i −0.253329 0.438778i 0.711112 0.703079i \(-0.248192\pi\)
−0.964440 + 0.264301i \(0.914859\pi\)
\(14\) −40712.7 70516.5i −0.283240 0.490585i
\(15\) −421.080 729.331i −0.00214760 0.00371975i
\(16\) 90695.0 0.345974
\(17\) 78745.5 + 136391.i 0.228668 + 0.396065i 0.957414 0.288720i \(-0.0932296\pi\)
−0.728745 + 0.684785i \(0.759896\pi\)
\(18\) −108337. 187644.i −0.243248 0.421317i
\(19\) −411179. + 712183.i −0.723835 + 1.25372i 0.235617 + 0.971846i \(0.424289\pi\)
−0.959452 + 0.281873i \(0.909044\pi\)
\(20\) 419049. 725814.i 0.585638 1.01436i
\(21\) −2904.82 −0.00325936
\(22\) 245009. 0.222988
\(23\) −838605. + 1.45251e6i −0.624859 + 1.08229i 0.363709 + 0.931513i \(0.381510\pi\)
−0.988568 + 0.150775i \(0.951823\pi\)
\(24\) −1951.48 + 3380.06i −0.00120064 + 0.00207957i
\(25\) −1.32280e6 2.29116e6i −0.677274 1.17307i
\(26\) 287175. + 497401.i 0.123244 + 0.213465i
\(27\) −15459.5 −0.00559832
\(28\) −1.44540e6 2.50351e6i −0.444404 0.769730i
\(29\) −1.78342e6 3.08897e6i −0.468233 0.811004i 0.531108 0.847304i \(-0.321776\pi\)
−0.999341 + 0.0363007i \(0.988443\pi\)
\(30\) 4635.34 + 8028.64i 0.00104481 + 0.00180966i
\(31\) 1.79439e6 3.10797e6i 0.348971 0.604435i −0.637096 0.770784i \(-0.719865\pi\)
0.986067 + 0.166349i \(0.0531979\pi\)
\(32\) −6.08687e6 −1.02617
\(33\) 4370.30 7569.58i 0.000641502 0.00111111i
\(34\) −866848. 1.50142e6i −0.111247 0.192685i
\(35\) −1.58621e7 −1.78672
\(36\) −3.84622e6 6.66184e6i −0.381656 0.661048i
\(37\) −1.48951e6 + 2.57991e6i −0.130658 + 0.226306i −0.923930 0.382561i \(-0.875042\pi\)
0.793272 + 0.608867i \(0.208376\pi\)
\(38\) 4.52635e6 7.83986e6i 0.352145 0.609933i
\(39\) 20489.7 0.00141822
\(40\) −1.06563e7 + 1.84573e7i −0.658168 + 1.13998i
\(41\) −3.19453e6 −0.176555 −0.0882774 0.996096i \(-0.528136\pi\)
−0.0882774 + 0.996096i \(0.528136\pi\)
\(42\) 31976.8 0.00158567
\(43\) 5.15455e6 2.18180e7i 0.229923 0.973209i
\(44\) 8.69844e6 0.349868
\(45\) −4.22091e7 −1.53444
\(46\) 9.23155e6 1.59895e7i 0.303993 0.526532i
\(47\) 4.11426e7 1.22985 0.614924 0.788587i \(-0.289187\pi\)
0.614924 + 0.788587i \(0.289187\pi\)
\(48\) −17808.6 + 30845.3i −0.000484221 + 0.000838695i
\(49\) −7.17944e6 + 1.24351e7i −0.177913 + 0.308155i
\(50\) 1.45617e7 + 2.52215e7i 0.329493 + 0.570698i
\(51\) −61848.8 −0.00128016
\(52\) 1.01954e7 + 1.76590e7i 0.193370 + 0.334927i
\(53\) 2.88959e7 5.00492e7i 0.503031 0.871276i −0.496963 0.867772i \(-0.665551\pi\)
0.999994 0.00350366i \(-0.00111525\pi\)
\(54\) 170181. 0.00272358
\(55\) 2.38646e7 4.13347e7i 0.351659 0.609092i
\(56\) 3.67562e7 + 6.36637e7i 0.499442 + 0.865058i
\(57\) −161475. 279684.i −0.00202614 0.00350938i
\(58\) 1.96323e7 + 3.40041e7i 0.227795 + 0.394552i
\(59\) −1.33906e8 −1.43868 −0.719342 0.694657i \(-0.755556\pi\)
−0.719342 + 0.694657i \(0.755556\pi\)
\(60\) 164566. + 285037.i 0.00163930 + 0.00283936i
\(61\) 7.72802e7 + 1.33853e8i 0.714634 + 1.23778i 0.963100 + 0.269142i \(0.0867402\pi\)
−0.248466 + 0.968641i \(0.579926\pi\)
\(62\) −1.97530e7 + 3.42133e7i −0.169774 + 0.294057i
\(63\) −7.27949e7 + 1.26085e8i −0.582195 + 1.00839i
\(64\) 2.05697e7 0.153256
\(65\) 1.11887e8 0.777442
\(66\) −48109.2 + 83327.6i −0.000312090 + 0.000540556i
\(67\) 1.31732e8 2.28167e8i 0.798647 1.38330i −0.121850 0.992549i \(-0.538883\pi\)
0.920497 0.390749i \(-0.127784\pi\)
\(68\) −3.07753e7 5.33043e7i −0.174547 0.302324i
\(69\) −329331. 570418.i −0.00174909 0.00302951i
\(70\) 1.74614e8 0.869236
\(71\) −3.35525e7 5.81147e7i −0.156698 0.271408i 0.776978 0.629527i \(-0.216751\pi\)
−0.933676 + 0.358119i \(0.883418\pi\)
\(72\) 9.78083e7 + 1.69409e8i 0.428923 + 0.742917i
\(73\) −5.68910e6 9.85381e6i −0.0234472 0.0406117i 0.854064 0.520168i \(-0.174131\pi\)
−0.877511 + 0.479557i \(0.840797\pi\)
\(74\) 1.63968e7 2.84002e7i 0.0635649 0.110098i
\(75\) 1.03896e6 0.00379161
\(76\) 1.60697e8 2.78335e8i 0.552517 0.956987i
\(77\) −8.23150e7 1.42574e8i −0.266852 0.462201i
\(78\) −225555. −0.000689963
\(79\) 1.74120e8 + 3.01584e8i 0.502951 + 0.871136i 0.999994 + 0.00341068i \(0.00108565\pi\)
−0.497043 + 0.867726i \(0.665581\pi\)
\(80\) −9.72461e7 + 1.68435e8i −0.265441 + 0.459756i
\(81\) −1.93706e8 + 3.35508e8i −0.499988 + 0.866005i
\(82\) 3.51661e7 0.0858937
\(83\) −1.91813e8 + 3.32230e8i −0.443636 + 0.768400i −0.997956 0.0639037i \(-0.979645\pi\)
0.554320 + 0.832303i \(0.312978\pi\)
\(84\) 1.13526e6 0.00248793
\(85\) −3.37734e8 −0.701761
\(86\) −5.67424e7 + 2.40177e8i −0.111857 + 0.473465i
\(87\) 1.40074e6 0.00262133
\(88\) −2.21199e8 −0.393198
\(89\) 1.18887e8 2.05918e8i 0.200853 0.347888i −0.747950 0.663755i \(-0.768962\pi\)
0.948804 + 0.315867i \(0.102295\pi\)
\(90\) 4.64647e8 0.746504
\(91\) 1.92962e8 3.34220e8i 0.294976 0.510913i
\(92\) 3.27743e8 5.67667e8i 0.476967 0.826131i
\(93\) 704680. + 1.22054e6i 0.000976830 + 0.00169192i
\(94\) −4.52906e8 −0.598319
\(95\) −8.81758e8 1.52725e9i −1.11069 1.92377i
\(96\) 1.19520e6 2.07014e6i 0.00143621 0.00248759i
\(97\) −2.84581e8 −0.326387 −0.163193 0.986594i \(-0.552179\pi\)
−0.163193 + 0.986594i \(0.552179\pi\)
\(98\) 7.90328e7 1.36889e8i 0.0865546 0.149917i
\(99\) −2.19040e8 3.79388e8i −0.229174 0.396941i
\(100\) 5.16976e8 + 8.95428e8i 0.516976 + 0.895428i
\(101\) 5.14600e8 + 8.91313e8i 0.492066 + 0.852283i 0.999958 0.00913741i \(-0.00290857\pi\)
−0.507892 + 0.861421i \(0.669575\pi\)
\(102\) 680845. 0.000622798
\(103\) −4.55687e8 7.89274e8i −0.398932 0.690971i 0.594662 0.803976i \(-0.297286\pi\)
−0.993594 + 0.113004i \(0.963953\pi\)
\(104\) −2.59267e8 4.49063e8i −0.217319 0.376407i
\(105\) 3.11464e6 5.39471e6i 0.00250066 0.00433128i
\(106\) −3.18092e8 + 5.50952e8i −0.244724 + 0.423875i
\(107\) −1.14084e9 −0.841389 −0.420694 0.907202i \(-0.638214\pi\)
−0.420694 + 0.907202i \(0.638214\pi\)
\(108\) 6.04186e6 0.00427331
\(109\) −1.47001e8 + 2.54613e8i −0.0997470 + 0.172767i −0.911580 0.411123i \(-0.865137\pi\)
0.811833 + 0.583890i \(0.198470\pi\)
\(110\) −2.62707e8 + 4.55022e8i −0.171082 + 0.296323i
\(111\) −584950. 1.01316e6i −0.000365734 0.000633470i
\(112\) 3.35426e8 + 5.80975e8i 0.201426 + 0.348880i
\(113\) −2.95877e8 −0.170710 −0.0853548 0.996351i \(-0.527202\pi\)
−0.0853548 + 0.996351i \(0.527202\pi\)
\(114\) 1.77756e6 + 3.07882e6i 0.000985715 + 0.00170731i
\(115\) −1.79836e9 3.11485e9i −0.958817 1.66072i
\(116\) 6.96994e8 + 1.20723e9i 0.357411 + 0.619054i
\(117\) 5.13472e8 8.89360e8i 0.253327 0.438774i
\(118\) 1.47406e9 0.699918
\(119\) −5.82464e8 + 1.00886e9i −0.266261 + 0.461178i
\(120\) −4.18487e6 7.24841e6i −0.00184233 0.00319100i
\(121\) −1.86258e9 −0.789914
\(122\) −8.50717e8 1.47349e9i −0.347669 0.602180i
\(123\) 627267. 1.08646e6i 0.000247104 0.000427996i
\(124\) −7.01282e8 + 1.21466e9i −0.266376 + 0.461377i
\(125\) 1.48499e9 0.544036
\(126\) 8.01342e8 1.38797e9i 0.283237 0.490582i
\(127\) −1.21049e9 −0.412898 −0.206449 0.978457i \(-0.566191\pi\)
−0.206449 + 0.978457i \(0.566191\pi\)
\(128\) 2.89004e9 0.951610
\(129\) 6.40815e6 + 6.03716e6i 0.00203741 + 0.00191946i
\(130\) −1.23167e9 −0.378225
\(131\) 4.27359e9 1.26786 0.633931 0.773390i \(-0.281440\pi\)
0.633931 + 0.773390i \(0.281440\pi\)
\(132\) −1.70800e6 + 2.95834e6i −0.000489671 + 0.000848135i
\(133\) −6.08281e9 −1.68567
\(134\) −1.45014e9 + 2.51171e9i −0.388541 + 0.672973i
\(135\) 1.65762e7 2.87107e7i 0.00429518 0.00743948i
\(136\) 7.82607e8 + 1.35551e9i 0.196164 + 0.339765i
\(137\) 5.58069e9 1.35346 0.676730 0.736232i \(-0.263397\pi\)
0.676730 + 0.736232i \(0.263397\pi\)
\(138\) 3.62535e6 + 6.27929e6i 0.000850930 + 0.00147385i
\(139\) 3.04062e8 5.26650e8i 0.0690868 0.119662i −0.829413 0.558636i \(-0.811325\pi\)
0.898500 + 0.438974i \(0.144658\pi\)
\(140\) 6.19923e9 1.36383
\(141\) −8.07862e6 + 1.39926e7i −0.00172128 + 0.00298134i
\(142\) 3.69353e8 + 6.39739e8i 0.0762333 + 0.132040i
\(143\) 5.80624e8 + 1.00567e9i 0.116113 + 0.201114i
\(144\) 8.92568e8 + 1.54597e9i 0.172986 + 0.299620i
\(145\) 7.64895e9 1.43696
\(146\) 6.26269e7 + 1.08473e8i 0.0114070 + 0.0197576i
\(147\) −2.81946e6 4.88345e6i −0.000498010 0.000862578i
\(148\) 5.82129e8 1.00828e9i 0.0997336 0.172744i
\(149\) −5.51811e9 + 9.55766e9i −0.917176 + 1.58859i −0.113491 + 0.993539i \(0.536203\pi\)
−0.803684 + 0.595056i \(0.797130\pi\)
\(150\) −1.14371e7 −0.00184462
\(151\) 1.04377e10 1.63383 0.816915 0.576759i \(-0.195683\pi\)
0.816915 + 0.576759i \(0.195683\pi\)
\(152\) −4.08647e9 + 7.07798e9i −0.620944 + 1.07551i
\(153\) −1.54994e9 + 2.68457e9i −0.228666 + 0.396062i
\(154\) 9.06141e8 + 1.56948e9i 0.129823 + 0.224860i
\(155\) 3.84800e9 + 6.66494e9i 0.535479 + 0.927478i
\(156\) −8.00775e6 −0.00108255
\(157\) −4.76288e8 8.24956e8i −0.0625636 0.108363i 0.833047 0.553202i \(-0.186594\pi\)
−0.895611 + 0.444839i \(0.853261\pi\)
\(158\) −1.91675e9 3.31990e9i −0.244685 0.423807i
\(159\) 1.13478e7 + 1.96550e7i 0.00140807 + 0.00243885i
\(160\) 6.52653e9 1.13043e10i 0.787304 1.36365i
\(161\) −1.24060e10 −1.45517
\(162\) 2.13235e9 3.69335e9i 0.243244 0.421311i
\(163\) −7.47445e9 1.29461e10i −0.829345 1.43647i −0.898553 0.438865i \(-0.855381\pi\)
0.0692083 0.997602i \(-0.477953\pi\)
\(164\) 1.24848e9 0.134768
\(165\) 9.37195e6 + 1.62327e7i 0.000984356 + 0.00170495i
\(166\) 2.11152e9 3.65726e9i 0.215828 0.373826i
\(167\) −2.35978e9 + 4.08725e9i −0.234772 + 0.406637i −0.959206 0.282707i \(-0.908768\pi\)
0.724434 + 0.689344i \(0.242101\pi\)
\(168\) −2.88693e7 −0.00279605
\(169\) 3.94115e9 6.82628e9i 0.371649 0.643715i
\(170\) 3.71785e9 0.341406
\(171\) −1.61863e10 −1.44766
\(172\) −2.01450e9 + 8.52688e9i −0.175505 + 0.742868i
\(173\) −1.67255e10 −1.41962 −0.709808 0.704395i \(-0.751218\pi\)
−0.709808 + 0.704395i \(0.751218\pi\)
\(174\) −1.54197e7 −0.00127528
\(175\) 9.78447e9 1.69472e10i 0.788617 1.36592i
\(176\) −2.01859e9 −0.158578
\(177\) 2.62933e7 4.55413e7i 0.00201356 0.00348759i
\(178\) −1.30873e9 + 2.26679e9i −0.0977149 + 0.169247i
\(179\) 4.61541e9 + 7.99412e9i 0.336025 + 0.582012i 0.983681 0.179921i \(-0.0575841\pi\)
−0.647656 + 0.761933i \(0.724251\pi\)
\(180\) 1.64961e10 1.17127
\(181\) −1.16116e10 2.01120e10i −0.804156 1.39284i −0.916859 0.399210i \(-0.869284\pi\)
0.112703 0.993629i \(-0.464049\pi\)
\(182\) −2.12417e9 + 3.67917e9i −0.143505 + 0.248559i
\(183\) −6.06979e7 −0.00400077
\(184\) −8.33442e9 + 1.44356e10i −0.536037 + 0.928444i
\(185\) −3.19420e9 5.53252e9i −0.200488 0.347256i
\(186\) −7.75727e6 1.34360e7i −0.000475227 0.000823117i
\(187\) −1.75263e9 3.03565e9i −0.104810 0.181537i
\(188\) −1.60793e10 −0.938765
\(189\) −5.71753e7 9.90305e7i −0.00325934 0.00564535i
\(190\) 9.70659e9 + 1.68123e10i 0.540350 + 0.935914i
\(191\) −7.06158e9 + 1.22310e10i −0.383930 + 0.664986i −0.991620 0.129188i \(-0.958763\pi\)
0.607690 + 0.794174i \(0.292096\pi\)
\(192\) −4.03899e6 + 6.99574e6i −0.000214495 + 0.000371517i
\(193\) −4.05363e9 −0.210299 −0.105149 0.994456i \(-0.533532\pi\)
−0.105149 + 0.994456i \(0.533532\pi\)
\(194\) 3.13273e9 0.158787
\(195\) −2.19697e7 + 3.80526e7i −0.00108810 + 0.00188464i
\(196\) 2.80586e9 4.85989e9i 0.135804 0.235220i
\(197\) −4.82342e9 8.35441e9i −0.228169 0.395201i 0.729096 0.684411i \(-0.239941\pi\)
−0.957266 + 0.289210i \(0.906607\pi\)
\(198\) 2.41124e9 + 4.17639e9i 0.111493 + 0.193111i
\(199\) 1.59699e9 0.0721875 0.0360938 0.999348i \(-0.488509\pi\)
0.0360938 + 0.999348i \(0.488509\pi\)
\(200\) −1.31466e10 2.27705e10i −0.581001 1.00632i
\(201\) 5.17329e7 + 8.96041e7i 0.00223555 + 0.00387209i
\(202\) −5.66482e9 9.81176e9i −0.239390 0.414635i
\(203\) 1.31916e10 2.28485e10i 0.545210 0.944332i
\(204\) 2.41717e7 0.000977173
\(205\) 3.42527e9 5.93275e9i 0.135458 0.234619i
\(206\) 5.01630e9 + 8.68849e9i 0.194080 + 0.336157i
\(207\) −3.30123e10 −1.24971
\(208\) −2.36599e9 4.09801e9i −0.0876451 0.151806i
\(209\) 9.15159e9 1.58510e10i 0.331771 0.574644i
\(210\) −3.42866e7 + 5.93861e7i −0.00121657 + 0.00210716i
\(211\) −2.19830e10 −0.763511 −0.381755 0.924263i \(-0.624680\pi\)
−0.381755 + 0.924263i \(0.624680\pi\)
\(212\) −1.12931e10 + 1.95602e10i −0.383973 + 0.665061i
\(213\) 2.63530e7 0.000877248
\(214\) 1.25586e10 0.409335
\(215\) 3.49926e10 + 3.29667e10i 1.11687 + 1.05221i
\(216\) −1.53643e8 −0.00480254
\(217\) 2.65454e10 0.812683
\(218\) 1.61821e9 2.80283e9i 0.0485268 0.0840509i
\(219\) 4.46837e6 0.000131266
\(220\) −9.32675e9 + 1.61544e10i −0.268428 + 0.464931i
\(221\) 4.10852e9 7.11616e9i 0.115856 0.200669i
\(222\) 6.43926e6 + 1.11531e7i 0.000177929 + 0.000308183i
\(223\) 5.10914e10 1.38349 0.691745 0.722142i \(-0.256842\pi\)
0.691745 + 0.722142i \(0.256842\pi\)
\(224\) −2.25116e10 3.89913e10i −0.597435 1.03479i
\(225\) 2.60365e10 4.50965e10i 0.677268 1.17306i
\(226\) 3.25707e9 0.0830500
\(227\) −2.23632e10 + 3.87343e10i −0.559008 + 0.968231i 0.438571 + 0.898696i \(0.355485\pi\)
−0.997580 + 0.0695345i \(0.977849\pi\)
\(228\) 6.31077e7 + 1.09306e8i 0.00154659 + 0.00267877i
\(229\) 3.94416e10 + 6.83149e10i 0.947753 + 1.64156i 0.750143 + 0.661276i \(0.229985\pi\)
0.197610 + 0.980281i \(0.436682\pi\)
\(230\) 1.97967e10 + 3.42889e10i 0.466464 + 0.807939i
\(231\) 6.46523e7 0.00149393
\(232\) −1.77244e10 3.06995e10i −0.401675 0.695722i
\(233\) 4.25243e10 + 7.36543e10i 0.945226 + 1.63718i 0.755298 + 0.655381i \(0.227492\pi\)
0.189927 + 0.981798i \(0.439175\pi\)
\(234\) −5.65242e9 + 9.79027e9i −0.123243 + 0.213463i
\(235\) −4.41144e10 + 7.64083e10i −0.943571 + 1.63431i
\(236\) 5.23329e10 1.09817
\(237\) −1.36758e8 −0.00281569
\(238\) 6.41189e9 1.11057e10i 0.129536 0.224363i
\(239\) −3.28974e10 + 5.69799e10i −0.652185 + 1.12962i 0.330407 + 0.943839i \(0.392814\pi\)
−0.982592 + 0.185779i \(0.940519\pi\)
\(240\) −3.81898e7 6.61467e7i −0.000743014 0.00128694i
\(241\) −5.03219e10 8.71600e10i −0.960904 1.66433i −0.720239 0.693726i \(-0.755968\pi\)
−0.240665 0.970608i \(-0.577365\pi\)
\(242\) 2.05036e10 0.384292
\(243\) −2.28215e8 3.95280e8i −0.00419872 0.00727239i
\(244\) −3.02026e10 5.23124e10i −0.545494 0.944823i
\(245\) −1.53960e10 2.66667e10i −0.272999 0.472849i
\(246\) −6.90509e6 + 1.19600e7i −0.000120216 + 0.000208220i
\(247\) 4.29062e10 0.733472
\(248\) 1.78334e10 3.08884e10i 0.299366 0.518516i
\(249\) −7.53275e7 1.30471e8i −0.00124181 0.00215088i
\(250\) −1.63471e10 −0.264673
\(251\) 2.83073e10 + 4.90297e10i 0.450160 + 0.779701i 0.998396 0.0566235i \(-0.0180335\pi\)
−0.548235 + 0.836324i \(0.684700\pi\)
\(252\) 2.84497e10 4.92762e10i 0.444400 0.769724i
\(253\) 1.86648e10 3.23284e10i 0.286405 0.496068i
\(254\) 1.33253e10 0.200875
\(255\) 6.63163e7 1.14863e8i 0.000982176 0.00170118i
\(256\) −4.23459e10 −0.616213
\(257\) 7.04661e10 1.00758 0.503792 0.863825i \(-0.331938\pi\)
0.503792 + 0.863825i \(0.331938\pi\)
\(258\) −7.05423e7 6.64584e7i −0.000991199 0.000933815i
\(259\) −2.20352e10 −0.304276
\(260\) −4.37274e10 −0.593436
\(261\) 3.51027e10 6.07997e10i 0.468229 0.810997i
\(262\) −4.70446e10 −0.616813
\(263\) 2.32036e10 4.01898e10i 0.299057 0.517982i −0.676863 0.736109i \(-0.736661\pi\)
0.975921 + 0.218127i \(0.0699945\pi\)
\(264\) 4.34339e7 7.52297e7i 0.000550315 0.000953173i
\(265\) 6.19662e10 + 1.07329e11i 0.771878 + 1.33693i
\(266\) 6.69609e10 0.820075
\(267\) 4.66884e7 + 8.08668e7i 0.000562223 + 0.000973799i
\(268\) −5.14834e10 + 8.91719e10i −0.609622 + 1.05590i
\(269\) −1.41121e11 −1.64326 −0.821628 0.570025i \(-0.806934\pi\)
−0.821628 + 0.570025i \(0.806934\pi\)
\(270\) −1.82474e8 + 3.16054e8i −0.00208960 + 0.00361930i
\(271\) −5.36194e10 9.28716e10i −0.603893 1.04597i −0.992225 0.124455i \(-0.960282\pi\)
0.388332 0.921520i \(-0.373051\pi\)
\(272\) 7.14183e9 + 1.23700e10i 0.0791133 + 0.137028i
\(273\) 7.57788e7 + 1.31253e8i 0.000825688 + 0.00143013i
\(274\) −6.14334e10 −0.658457
\(275\) 2.94415e10 + 5.09942e10i 0.310429 + 0.537679i
\(276\) 1.28709e8 + 2.22930e8i 0.00133511 + 0.00231248i
\(277\) 4.50708e10 7.80649e10i 0.459977 0.796704i −0.538982 0.842317i \(-0.681191\pi\)
0.998959 + 0.0456133i \(0.0145242\pi\)
\(278\) −3.34718e9 + 5.79748e9i −0.0336107 + 0.0582154i
\(279\) 7.06374e10 0.697936
\(280\) −1.57645e11 −1.53274
\(281\) −8.64169e10 + 1.49678e11i −0.826838 + 1.43212i 0.0736689 + 0.997283i \(0.476529\pi\)
−0.900507 + 0.434842i \(0.856804\pi\)
\(282\) 8.89312e7 1.54033e8i 0.000837400 0.00145042i
\(283\) 8.27816e10 + 1.43382e11i 0.767176 + 1.32879i 0.939089 + 0.343675i \(0.111672\pi\)
−0.171913 + 0.985112i \(0.554995\pi\)
\(284\) 1.31130e10 + 2.27123e10i 0.119610 + 0.207171i
\(285\) 6.92556e8 0.00621803
\(286\) −6.39163e9 1.10706e10i −0.0564891 0.0978420i
\(287\) −1.18146e10 2.04635e10i −0.102790 0.178038i
\(288\) −5.99034e10 1.03756e11i −0.513080 0.888681i
\(289\) 4.68922e10 8.12197e10i 0.395422 0.684891i
\(290\) −8.42013e10 −0.699082
\(291\) 5.58793e7 9.67858e7i 0.000456807 0.000791213i
\(292\) 2.22341e9 + 3.85106e9i 0.0178977 + 0.0309997i
\(293\) 7.48827e10 0.593578 0.296789 0.954943i \(-0.404084\pi\)
0.296789 + 0.954943i \(0.404084\pi\)
\(294\) 3.10372e7 + 5.37580e7i 0.000242281 + 0.000419643i
\(295\) 1.43578e11 2.48684e11i 1.10380 1.91183i
\(296\) −1.48034e10 + 2.56402e10i −0.112085 + 0.194137i
\(297\) 3.44081e8 0.00256600
\(298\) 6.07446e10 1.05213e11i 0.446205 0.772850i
\(299\) 8.75078e10 0.633179
\(300\) −4.06046e8 −0.00289421
\(301\) 1.58825e11 4.76724e10i 1.11524 0.334748i
\(302\) −1.14900e11 −0.794856
\(303\) −4.04180e8 −0.00275476
\(304\) −3.72919e10 + 6.45914e10i −0.250428 + 0.433754i
\(305\) −3.31449e11 −2.19315
\(306\) 1.70620e10 2.95523e10i 0.111246 0.192684i
\(307\) −3.65266e10 + 6.32660e10i −0.234686 + 0.406488i −0.959181 0.282792i \(-0.908739\pi\)
0.724496 + 0.689279i \(0.242073\pi\)
\(308\) 3.21703e10 + 5.57205e10i 0.203693 + 0.352807i
\(309\) 3.57909e8 0.00223336
\(310\) −4.23597e10 7.33691e10i −0.260510 0.451217i
\(311\) 8.95372e10 1.55083e11i 0.542728 0.940032i −0.456018 0.889970i \(-0.650725\pi\)
0.998746 0.0500616i \(-0.0159418\pi\)
\(312\) 2.03635e8 0.00121662
\(313\) −1.36156e11 + 2.35829e11i −0.801838 + 1.38882i 0.116568 + 0.993183i \(0.462811\pi\)
−0.918405 + 0.395641i \(0.870523\pi\)
\(314\) 5.24309e9 + 9.08129e9i 0.0304371 + 0.0527186i
\(315\) −1.56106e11 2.70384e11i −0.893351 1.54733i
\(316\) −6.80492e10 1.17865e11i −0.383912 0.664955i
\(317\) −3.13258e11 −1.74235 −0.871177 0.490970i \(-0.836643\pi\)
−0.871177 + 0.490970i \(0.836643\pi\)
\(318\) −1.24919e8 2.16366e8i −0.000685025 0.00118650i
\(319\) 3.96934e10 + 6.87511e10i 0.214615 + 0.371725i
\(320\) −2.20555e10 + 3.82012e10i −0.117582 + 0.203658i
\(321\) 2.24011e8 3.87998e8i 0.00117760 0.00203966i
\(322\) 1.36568e11 0.707940
\(323\) −1.29514e11 −0.662072
\(324\) 7.57039e10 1.31123e11i 0.381650 0.661038i
\(325\) −6.90166e10 + 1.19540e11i −0.343145 + 0.594345i
\(326\) 8.22804e10 + 1.42514e11i 0.403475 + 0.698840i
\(327\) −5.77291e7 9.99897e7i −0.000279209 0.000483604i
\(328\) −3.17486e10 −0.151458
\(329\) 1.52161e11 + 2.63551e11i 0.716017 + 1.24018i
\(330\) −1.03168e8 1.78693e8i −0.000478888 0.000829458i
\(331\) −7.93956e10 1.37517e11i −0.363555 0.629696i 0.624988 0.780635i \(-0.285104\pi\)
−0.988543 + 0.150938i \(0.951771\pi\)
\(332\) 7.49642e10 1.29842e11i 0.338635 0.586534i
\(333\) −5.86356e10 −0.261314
\(334\) 2.59769e10 4.49934e10i 0.114216 0.197829i
\(335\) 2.82495e11 + 4.89295e11i 1.22549 + 2.12261i
\(336\) −2.63452e8 −0.00112765
\(337\) 2.38271e10 + 4.12698e10i 0.100632 + 0.174300i 0.911945 0.410312i \(-0.134580\pi\)
−0.811313 + 0.584612i \(0.801247\pi\)
\(338\) −4.33851e10 + 7.51452e10i −0.180807 + 0.313167i
\(339\) 5.80973e7 1.00628e8i 0.000238923 0.000413826i
\(340\) 1.31993e11 0.535667
\(341\) −3.99376e10 + 6.91740e10i −0.159951 + 0.277044i
\(342\) 1.78183e11 0.704285
\(343\) 1.92278e11 0.750076
\(344\) 5.12281e10 2.16836e11i 0.197240 0.834870i
\(345\) 1.41248e9 0.00536779
\(346\) 1.84118e11 0.690642
\(347\) 1.24797e11 2.16154e11i 0.462083 0.800351i −0.536982 0.843594i \(-0.680436\pi\)
0.999065 + 0.0432429i \(0.0137689\pi\)
\(348\) −5.47437e8 −0.00200091
\(349\) 8.18259e10 1.41727e11i 0.295241 0.511372i −0.679800 0.733398i \(-0.737933\pi\)
0.975041 + 0.222025i \(0.0712668\pi\)
\(350\) −1.07710e11 + 1.86558e11i −0.383661 + 0.664521i
\(351\) 4.03296e8 + 6.98530e8i 0.00141822 + 0.00245642i
\(352\) 1.35475e11 0.470346
\(353\) 5.18188e10 + 8.97528e10i 0.177624 + 0.307653i 0.941066 0.338223i \(-0.109826\pi\)
−0.763442 + 0.645876i \(0.776492\pi\)
\(354\) −2.89442e8 + 5.01328e8i −0.000979596 + 0.00169671i
\(355\) 1.43904e11 0.480890
\(356\) −4.64633e10 + 8.04767e10i −0.153315 + 0.265549i
\(357\) −2.28741e8 3.96191e8i −0.000745311 0.00129092i
\(358\) −5.08074e10 8.80010e10i −0.163476 0.283148i
\(359\) 9.66193e10 + 1.67350e11i 0.307000 + 0.531740i 0.977705 0.209985i \(-0.0673414\pi\)
−0.670704 + 0.741725i \(0.734008\pi\)
\(360\) −4.19493e11 −1.31632
\(361\) −1.76792e11 3.06213e11i −0.547874 0.948946i
\(362\) 1.27824e11 + 2.21397e11i 0.391221 + 0.677615i
\(363\) 3.65729e8 6.33461e8i 0.00110555 0.00191487i
\(364\) −7.54134e10 + 1.30620e11i −0.225160 + 0.389989i
\(365\) 2.44001e10 0.0719573
\(366\) 6.68176e8 0.00194637
\(367\) −2.20227e10 + 3.81445e10i −0.0633685 + 0.109758i −0.895969 0.444116i \(-0.853518\pi\)
0.832601 + 0.553874i \(0.186851\pi\)
\(368\) −7.60573e10 + 1.31735e11i −0.216185 + 0.374444i
\(369\) −3.14387e10 5.44534e10i −0.0882767 0.152900i
\(370\) 3.51624e10 + 6.09031e10i 0.0975374 + 0.168940i
\(371\) 4.27474e11 1.17146
\(372\) −2.75403e8 4.77011e8i −0.000745632 0.00129147i
\(373\) −9.78207e10 1.69430e11i −0.261662 0.453212i 0.705021 0.709186i \(-0.250937\pi\)
−0.966684 + 0.255974i \(0.917604\pi\)
\(374\) 1.92934e10 + 3.34171e10i 0.0509901 + 0.0883175i
\(375\) −2.91587e8 + 5.05043e8i −0.000761425 + 0.00131883i
\(376\) 4.08893e11 1.05503
\(377\) −9.30491e10 + 1.61166e11i −0.237234 + 0.410901i
\(378\) 6.29398e8 + 1.09015e9i 0.00158567 + 0.00274646i
\(379\) −2.51701e11 −0.626625 −0.313313 0.949650i \(-0.601439\pi\)
−0.313313 + 0.949650i \(0.601439\pi\)
\(380\) 3.44608e11 + 5.96879e11i 0.847811 + 1.46845i
\(381\) 2.37687e8 4.11686e8i 0.000577887 0.00100093i
\(382\) 7.77354e10 1.34642e11i 0.186782 0.323515i
\(383\) −3.08290e11 −0.732091 −0.366046 0.930597i \(-0.619289\pi\)
−0.366046 + 0.930597i \(0.619289\pi\)
\(384\) −5.67478e8 + 9.82901e8i −0.00133186 + 0.00230685i
\(385\) 3.53043e11 0.818944
\(386\) 4.46233e10 0.102310
\(387\) 4.22634e11 1.26856e11i 0.957778 0.287483i
\(388\) 1.11220e11 0.249137
\(389\) 9.75835e10 0.216074 0.108037 0.994147i \(-0.465543\pi\)
0.108037 + 0.994147i \(0.465543\pi\)
\(390\) 2.41847e8 4.18891e8i 0.000529358 0.000916875i
\(391\) −2.64146e11 −0.571542
\(392\) −7.13523e10 + 1.23586e11i −0.152623 + 0.264351i
\(393\) −8.39147e8 + 1.45345e9i −0.00177448 + 0.00307349i
\(394\) 5.30973e10 + 9.19672e10i 0.111004 + 0.192265i
\(395\) −7.46786e11 −1.54351
\(396\) 8.56050e10 + 1.48272e11i 0.174933 + 0.302992i
\(397\) 2.23860e10 3.87736e10i 0.0452292 0.0783392i −0.842525 0.538658i \(-0.818932\pi\)
0.887754 + 0.460319i \(0.152265\pi\)
\(398\) −1.75800e10 −0.0351192
\(399\) 1.19440e9 2.06876e9i 0.00235924 0.00408632i
\(400\) −1.19971e11 2.07797e11i −0.234319 0.405853i
\(401\) −7.73564e10 1.33985e11i −0.149399 0.258766i 0.781607 0.623772i \(-0.214400\pi\)
−0.931005 + 0.365005i \(0.881067\pi\)
\(402\) −5.69487e8 9.86381e8i −0.00108759 0.00188377i
\(403\) −1.87243e11 −0.353617
\(404\) −2.01115e11 3.48342e11i −0.375603 0.650564i
\(405\) −4.15395e11 7.19485e11i −0.767209 1.32884i
\(406\) −1.45216e11 + 2.51521e11i −0.265244 + 0.459417i
\(407\) 3.31519e10 5.74209e10i 0.0598872 0.103728i
\(408\) −6.14680e8 −0.00109819
\(409\) −3.77084e11 −0.666320 −0.333160 0.942870i \(-0.608115\pi\)
−0.333160 + 0.942870i \(0.608115\pi\)
\(410\) −3.77062e10 + 6.53090e10i −0.0658999 + 0.114142i
\(411\) −1.09580e9 + 1.89799e9i −0.00189428 + 0.00328100i
\(412\) 1.78091e11 + 3.08463e11i 0.304513 + 0.527431i
\(413\) −4.95236e11 8.57774e11i −0.837601 1.45077i
\(414\) 3.63406e11 0.607982
\(415\) −4.11336e11 7.12455e11i −0.680738 1.17907i
\(416\) 1.58790e11 + 2.75032e11i 0.259958 + 0.450260i
\(417\) 1.19409e8 + 2.06822e8i 0.000193386 + 0.000334954i
\(418\) −1.00743e11 + 1.74491e11i −0.161406 + 0.279564i
\(419\) −4.16749e10 −0.0660559 −0.0330279 0.999454i \(-0.510515\pi\)
−0.0330279 + 0.999454i \(0.510515\pi\)
\(420\) −1.21726e9 + 2.10836e9i −0.00190880 + 0.00330615i
\(421\) −5.53008e11 9.57838e11i −0.857950 1.48601i −0.873881 0.486140i \(-0.838405\pi\)
0.0159314 0.999873i \(-0.494929\pi\)
\(422\) 2.41993e11 0.371447
\(423\) 4.04901e11 + 7.01310e11i 0.614919 + 1.06507i
\(424\) 2.87180e11 4.97410e11i 0.431527 0.747426i
\(425\) 2.08329e11 3.60837e11i 0.309742 0.536488i
\(426\) −2.90100e8 −0.000426780
\(427\) −5.71625e11 + 9.90084e11i −0.832120 + 1.44127i
\(428\) 4.45861e11 0.642248
\(429\) −4.56037e8 −0.000650044
\(430\) −3.85206e11 3.62905e11i −0.543356 0.511900i
\(431\) 4.82162e11 0.673047 0.336523 0.941675i \(-0.390749\pi\)
0.336523 + 0.941675i \(0.390749\pi\)
\(432\) −1.40210e9 −0.00193688
\(433\) −6.41850e11 + 1.11172e12i −0.877481 + 1.51984i −0.0233854 + 0.999727i \(0.507444\pi\)
−0.854096 + 0.520116i \(0.825889\pi\)
\(434\) −2.92218e11 −0.395369
\(435\) −1.50192e9 + 2.60140e9i −0.00201116 + 0.00348342i
\(436\) 5.74507e10 9.95075e10i 0.0761388 0.131876i
\(437\) −6.89633e11 1.19448e12i −0.904590 1.56680i
\(438\) −4.91888e7 −6.38606e−5
\(439\) −4.75072e11 8.22848e11i −0.610476 1.05738i −0.991160 0.132671i \(-0.957645\pi\)
0.380684 0.924705i \(-0.375689\pi\)
\(440\) 2.37177e11 4.10802e11i 0.301672 0.522511i
\(441\) −2.82623e11 −0.355823
\(442\) −4.52274e10 + 7.83362e10i −0.0563640 + 0.0976253i
\(443\) 5.93593e11 + 1.02813e12i 0.732271 + 1.26833i 0.955910 + 0.293659i \(0.0948731\pi\)
−0.223639 + 0.974672i \(0.571794\pi\)
\(444\) 2.28610e8 + 3.95964e8i 0.000279172 + 0.000483540i
\(445\) 2.54949e11 + 4.41584e11i 0.308200 + 0.533818i
\(446\) −5.62425e11 −0.673066
\(447\) −2.16704e9 3.75342e9i −0.00256733 0.00444675i
\(448\) 7.60748e10 + 1.31765e11i 0.0892257 + 0.154543i
\(449\) 8.73678e10 1.51325e11i 0.101448 0.175713i −0.810834 0.585277i \(-0.800986\pi\)
0.912281 + 0.409564i \(0.134319\pi\)
\(450\) −2.86615e11 + 4.96432e11i −0.329490 + 0.570694i
\(451\) 7.11004e10 0.0809241
\(452\) 1.15634e11 0.130306
\(453\) −2.04950e9 + 3.54984e9i −0.00228669 + 0.00396066i
\(454\) 2.46179e11 4.26395e11i 0.271957 0.471043i
\(455\) 4.13801e11 + 7.16724e11i 0.452626 + 0.783972i
\(456\) −1.60481e9 2.77961e9i −0.00173813 0.00301053i
\(457\) −7.69659e11 −0.825421 −0.412711 0.910862i \(-0.635418\pi\)
−0.412711 + 0.910862i \(0.635418\pi\)
\(458\) −4.34182e11 7.52025e11i −0.461081 0.798616i
\(459\) −1.21737e9 2.10854e9i −0.00128016 0.00221730i
\(460\) 7.02833e11 + 1.21734e12i 0.731883 + 1.26766i
\(461\) 4.30214e11 7.45153e11i 0.443640 0.768407i −0.554317 0.832306i \(-0.687020\pi\)
0.997956 + 0.0638992i \(0.0203536\pi\)
\(462\) −7.11707e8 −0.000726796
\(463\) −3.24329e11 + 5.61755e11i −0.327998 + 0.568110i −0.982115 0.188284i \(-0.939707\pi\)
0.654116 + 0.756394i \(0.273041\pi\)
\(464\) −1.61747e11 2.80154e11i −0.161997 0.280586i
\(465\) −3.02232e9 −0.00299780
\(466\) −4.68117e11 8.10802e11i −0.459851 0.796486i
\(467\) −7.01768e11 + 1.21550e12i −0.682759 + 1.18257i 0.291376 + 0.956609i \(0.405887\pi\)
−0.974135 + 0.225965i \(0.927446\pi\)
\(468\) −2.00675e11 + 3.47579e11i −0.193369 + 0.334925i
\(469\) 1.94879e12 1.85989
\(470\) 4.85621e11 8.41120e11i 0.459047 0.795092i
\(471\) 3.74089e8 0.000350253
\(472\) −1.33081e12 −1.23418
\(473\) −1.14724e11 + 4.85601e11i −0.105386 + 0.446072i
\(474\) 1.50546e9 0.00136983
\(475\) 2.17563e12 1.96094
\(476\) 2.27638e11 3.94281e11i 0.203242 0.352026i
\(477\) 1.13751e12 1.00605
\(478\) 3.62141e11 6.27247e11i 0.317287 0.549558i
\(479\) −1.78172e11 + 3.08602e11i −0.154642 + 0.267848i −0.932929 0.360061i \(-0.882756\pi\)
0.778286 + 0.627909i \(0.216089\pi\)
\(480\) 2.56305e9 + 4.43934e9i 0.00220380 + 0.00381710i
\(481\) 1.55429e11 0.132397
\(482\) 5.53954e11 + 9.59476e11i 0.467479 + 0.809697i
\(483\) 2.43599e9 4.21926e9i 0.00203664 0.00352756i
\(484\) 7.27930e11 0.602956
\(485\) 3.05137e11 5.28512e11i 0.250413 0.433728i
\(486\) 2.51224e9 + 4.35133e9i 0.00204267 + 0.00353801i
\(487\) 2.97866e11 + 5.15918e11i 0.239961 + 0.415624i 0.960703 0.277579i \(-0.0895321\pi\)
−0.720742 + 0.693203i \(0.756199\pi\)
\(488\) 7.68044e11 + 1.33029e12i 0.613051 + 1.06184i
\(489\) 5.87063e9 0.00464296
\(490\) 1.69483e11 + 2.93553e11i 0.132814 + 0.230040i
\(491\) −2.30456e11 3.99161e11i −0.178945 0.309943i 0.762574 0.646901i \(-0.223935\pi\)
−0.941520 + 0.336958i \(0.890602\pi\)
\(492\) −2.45148e8 + 4.24608e8i −0.000188619 + 0.000326697i
\(493\) 2.80872e11 4.86485e11i 0.214140 0.370901i
\(494\) −4.72321e11 −0.356834
\(495\) 9.39447e11 0.703313
\(496\) 1.62742e11 2.81878e11i 0.120735 0.209119i
\(497\) 2.48181e11 4.29862e11i 0.182459 0.316028i
\(498\) 8.29221e8 + 1.43625e9i 0.000604141 + 0.00104640i
\(499\) 9.55453e11 + 1.65489e12i 0.689853 + 1.19486i 0.971885 + 0.235456i \(0.0756583\pi\)
−0.282032 + 0.959405i \(0.591008\pi\)
\(500\) −5.80361e11 −0.415273
\(501\) −9.26715e8 1.60512e9i −0.000657168 0.00113825i
\(502\) −3.11613e11 5.39730e11i −0.219003 0.379324i
\(503\) 2.54277e11 + 4.40421e11i 0.177114 + 0.306770i 0.940891 0.338710i \(-0.109991\pi\)
−0.763777 + 0.645480i \(0.776657\pi\)
\(504\) −7.23467e11 + 1.25308e12i −0.499438 + 0.865052i
\(505\) −2.20708e12 −1.51010
\(506\) −2.05466e11 + 3.55878e11i −0.139336 + 0.241337i
\(507\) 1.54774e9 + 2.68077e9i 0.00104031 + 0.00180187i
\(508\) 4.73081e11 0.315173
\(509\) −8.03928e11 1.39244e12i −0.530869 0.919492i −0.999351 0.0360191i \(-0.988532\pi\)
0.468482 0.883473i \(-0.344801\pi\)
\(510\) −7.30024e8 + 1.26444e9i −0.000477828 + 0.000827622i
\(511\) 4.20811e10 7.28866e10i 0.0273019 0.0472883i
\(512\) −1.01355e12 −0.651823
\(513\) 6.35661e9 1.10100e10i 0.00405226 0.00701873i
\(514\) −7.75707e11 −0.490189
\(515\) 1.95441e12 1.22429
\(516\) −2.50443e9 2.35944e9i −0.00155519 0.00146516i
\(517\) −9.15708e11 −0.563702
\(518\) 2.42568e11 0.148030
\(519\) 3.28416e9 5.68833e9i 0.00198688 0.00344137i
\(520\) 1.11198e12 0.666931
\(521\) −1.35268e12 + 2.34291e12i −0.804314 + 1.39311i 0.112439 + 0.993659i \(0.464134\pi\)
−0.916753 + 0.399454i \(0.869200\pi\)
\(522\) −3.86419e11 + 6.69297e11i −0.227793 + 0.394549i
\(523\) 1.15459e12 + 1.99981e12i 0.674793 + 1.16878i 0.976529 + 0.215384i \(0.0691003\pi\)
−0.301737 + 0.953391i \(0.597566\pi\)
\(524\) −1.67020e12 −0.967782
\(525\) 3.84249e9 + 6.65539e9i 0.00220748 + 0.00382346i
\(526\) −2.55430e11 + 4.42418e11i −0.145491 + 0.251998i
\(527\) 5.65201e11 0.319194
\(528\) 3.96364e8 6.86523e8i 0.000221943 0.000384417i
\(529\) −5.05941e11 8.76315e11i −0.280898 0.486530i
\(530\) −6.82138e11 1.18150e12i −0.375518 0.650416i
\(531\) −1.31782e12 2.28254e12i −0.719336 1.24593i
\(532\) 2.37728e12 1.28670
\(533\) 8.33366e10 + 1.44343e11i 0.0447264 + 0.0774683i
\(534\) −5.13957e8 8.90199e8i −0.000273521 0.000473752i
\(535\) 1.22324e12 2.11872e12i 0.645536 1.11810i
\(536\) 1.30921e12 2.26762e12i 0.685122 1.18667i
\(537\) −3.62506e9 −0.00188118
\(538\) 1.55349e12 0.799442
\(539\) 1.59792e11 2.76768e11i 0.0815467 0.141243i
\(540\) −6.47828e9 + 1.12207e10i −0.00327859 + 0.00567869i
\(541\) −1.84433e12 3.19448e12i −0.925661 1.60329i −0.790495 0.612469i \(-0.790176\pi\)
−0.135166 0.990823i \(-0.543157\pi\)
\(542\) 5.90254e11 + 1.02235e12i 0.293794 + 0.508865i
\(543\) 9.12009e9 0.00450194
\(544\) −4.79313e11 8.30195e11i −0.234652 0.406429i
\(545\) −3.15237e11 5.46007e11i −0.153057 0.265103i
\(546\) −8.34190e8 1.44486e9i −0.000401696 0.000695759i
\(547\) 4.62300e10 8.00728e10i 0.0220791 0.0382421i −0.854775 0.518999i \(-0.826305\pi\)
0.876854 + 0.480757i \(0.159638\pi\)
\(548\) −2.18104e12 −1.03312
\(549\) −1.52109e12 + 2.63461e12i −0.714629 + 1.23777i
\(550\) −3.24098e11 5.61355e11i −0.151024 0.261580i
\(551\) 2.93322e12 1.35569
\(552\) −3.27304e9 5.66906e9i −0.00150046 0.00259888i
\(553\) −1.28793e12 + 2.23075e12i −0.585636 + 1.01435i
\(554\) −4.96149e11 + 8.59356e11i −0.223779 + 0.387596i
\(555\) 2.50881e9 0.00112240
\(556\) −1.18833e11 + 2.05825e11i −0.0527352 + 0.0913401i
\(557\) 5.45842e11 0.240281 0.120140 0.992757i \(-0.461666\pi\)
0.120140 + 0.992757i \(0.461666\pi\)
\(558\) −7.77592e11 −0.339545
\(559\) −1.12030e12 + 3.36266e11i −0.485269 + 0.145656i
\(560\) −1.43862e12 −0.618158
\(561\) 1.37657e9 0.000586765
\(562\) 9.51296e11 1.64769e12i 0.402256 0.696727i
\(563\) 2.72720e12 1.14401 0.572003 0.820251i \(-0.306166\pi\)
0.572003 + 0.820251i \(0.306166\pi\)
\(564\) 3.15728e9 5.46857e9i 0.00131388 0.00227571i
\(565\) 3.17248e11 5.49490e11i 0.130973 0.226852i
\(566\) −9.11278e11 1.57838e12i −0.373230 0.646454i
\(567\) −2.86560e12 −1.16437
\(568\) −3.33459e11 5.77568e11i −0.134424 0.232828i
\(569\) −7.11930e11 + 1.23310e12i −0.284729 + 0.493166i −0.972544 0.232721i \(-0.925237\pi\)
0.687814 + 0.725887i \(0.258570\pi\)
\(570\) −7.62381e9 −0.00302507
\(571\) 4.00765e11 6.94146e11i 0.157771 0.273268i −0.776293 0.630372i \(-0.782902\pi\)
0.934065 + 0.357104i \(0.116236\pi\)
\(572\) −2.26919e11 3.93035e11i −0.0886316 0.153514i
\(573\) −2.77318e9 4.80328e9i −0.00107469 0.00186141i
\(574\) 1.30058e11 + 2.25267e11i 0.0500073 + 0.0866152i
\(575\) 4.43723e12 1.69280
\(576\) 2.02435e11 + 3.50628e11i 0.0766275 + 0.132723i
\(577\) 1.61843e12 + 2.80321e12i 0.607861 + 1.05285i 0.991592 + 0.129401i \(0.0413054\pi\)
−0.383732 + 0.923445i \(0.625361\pi\)
\(578\) −5.16200e11 + 8.94084e11i −0.192372 + 0.333199i
\(579\) 7.95957e8 1.37864e9i 0.000294331 0.000509796i
\(580\) −2.98936e12 −1.09686
\(581\) −2.83760e12 −1.03314
\(582\) −6.15132e8 + 1.06544e9i −0.000222236 + 0.000384924i
\(583\) −6.43135e11 + 1.11394e12i −0.230565 + 0.399350i
\(584\) −5.65407e10 9.79314e10i −0.0201142 0.0348389i
\(585\) 1.10112e12 + 1.90720e12i 0.388718 + 0.673279i
\(586\) −8.24326e11 −0.288775
\(587\) −1.93157e12 3.34558e12i −0.671490 1.16306i −0.977482 0.211021i \(-0.932321\pi\)
0.305991 0.952034i \(-0.401012\pi\)
\(588\) 1.10190e9 + 1.90854e9i 0.000380140 + 0.000658422i
\(589\) 1.47563e12 + 2.55587e12i 0.505195 + 0.875023i
\(590\) −1.58054e12 + 2.73757e12i −0.536996 + 0.930104i
\(591\) 3.78844e9 0.00127737
\(592\) −1.35091e11 + 2.33985e11i −0.0452042 + 0.0782960i
\(593\) −2.16014e12 3.74147e12i −0.717358 1.24250i −0.962043 0.272898i \(-0.912018\pi\)
0.244685 0.969603i \(-0.421316\pi\)
\(594\) −3.78772e9 −0.00124836
\(595\) −1.24907e12 2.16346e12i −0.408565 0.707656i
\(596\) 2.15658e12 3.73531e12i 0.700097 1.21260i
\(597\) −3.13579e8 + 5.43134e8i −0.000101033 + 0.000174994i
\(598\) −9.63305e11 −0.308041
\(599\) −7.37416e11 + 1.27724e12i −0.234041 + 0.405371i −0.958993 0.283428i \(-0.908528\pi\)
0.724953 + 0.688799i \(0.241862\pi\)
\(600\) 1.03256e10 0.00325265
\(601\) 8.33665e11 0.260649 0.130325 0.991471i \(-0.458398\pi\)
0.130325 + 0.991471i \(0.458398\pi\)
\(602\) −1.74838e12 + 5.24788e11i −0.542565 + 0.162854i
\(603\) 5.18573e12 1.59728
\(604\) −4.07924e12 −1.24713
\(605\) 1.99711e12 3.45910e12i 0.606043 1.04970i
\(606\) 4.44930e9 0.00134019
\(607\) −1.82982e12 + 3.16934e12i −0.547090 + 0.947588i 0.451382 + 0.892331i \(0.350931\pi\)
−0.998472 + 0.0552574i \(0.982402\pi\)
\(608\) 2.50279e12 4.33496e12i 0.742777 1.28653i
\(609\) 5.18050e9 + 8.97289e9i 0.00152614 + 0.00264335i
\(610\) 3.64866e12 1.06696
\(611\) −1.07330e12 1.85901e12i −0.311555 0.539630i
\(612\) 6.05745e11 1.04918e12i 0.174545 0.302321i
\(613\) −5.79740e12 −1.65829 −0.829146 0.559032i \(-0.811173\pi\)
−0.829146 + 0.559032i \(0.811173\pi\)
\(614\) 4.02093e11 6.96445e11i 0.114174 0.197756i
\(615\) 1.34515e9 + 2.32987e9i 0.000379169 + 0.000656740i
\(616\) −8.18081e11 1.41696e12i −0.228920 0.396501i
\(617\) 1.61017e11 + 2.78889e11i 0.0447289 + 0.0774727i 0.887523 0.460763i \(-0.152424\pi\)
−0.842794 + 0.538236i \(0.819091\pi\)
\(618\) −3.93994e9 −0.00108653
\(619\) 2.05105e12 + 3.55253e12i 0.561525 + 0.972589i 0.997364 + 0.0725646i \(0.0231184\pi\)
−0.435839 + 0.900025i \(0.643548\pi\)
\(620\) −1.50387e12 2.60479e12i −0.408741 0.707961i
\(621\) 1.29644e10 2.24550e10i 0.00349817 0.00605900i
\(622\) −9.85645e11 + 1.70719e12i −0.264037 + 0.457325i
\(623\) 1.75876e12 0.467747
\(624\) 1.85831e9 0.000490668
\(625\) 9.91343e11 1.71706e12i 0.259875 0.450116i
\(626\) 1.49883e12 2.59605e12i 0.390093 0.675661i
\(627\) 3.59395e9 + 6.22490e9i 0.000928684 + 0.00160853i
\(628\) 1.86143e11 + 3.22408e11i 0.0477559 + 0.0827157i
\(629\) −4.69169e11 −0.119509
\(630\) 1.71845e12 + 2.97644e12i 0.434615 + 0.752775i
\(631\) 3.48847e12 + 6.04220e12i 0.875997 + 1.51727i 0.855697 + 0.517477i \(0.173129\pi\)
0.0202994 + 0.999794i \(0.493538\pi\)
\(632\) 1.73047e12 + 2.99727e12i 0.431458 + 0.747307i
\(633\) 4.31650e9 7.47639e9i 0.00106860 0.00185087i
\(634\) 3.44842e12 0.847653
\(635\) 1.29792e12 2.24807e12i 0.316786 0.548690i
\(636\) −4.43494e9 7.68154e9i −0.00107481 0.00186162i
\(637\) 7.49169e11 0.180282
\(638\) −4.36954e11 7.56827e11i −0.104410 0.180844i
\(639\) 6.60409e11 1.14386e12i 0.156696 0.271406i
\(640\) −3.09879e12 + 5.36727e12i −0.730101 + 1.26457i
\(641\) −1.28224e12 −0.299990 −0.149995 0.988687i \(-0.547926\pi\)
−0.149995 + 0.988687i \(0.547926\pi\)
\(642\) −2.46596e9 + 4.27117e9i −0.000572900 + 0.000992291i
\(643\) −5.29842e12 −1.22235 −0.611177 0.791494i \(-0.709304\pi\)
−0.611177 + 0.791494i \(0.709304\pi\)
\(644\) 4.84849e12 1.11076
\(645\) −1.80830e10 + 5.42772e9i −0.00411388 + 0.00123481i
\(646\) 1.42572e12 0.322097
\(647\) −3.57303e12 −0.801618 −0.400809 0.916162i \(-0.631271\pi\)
−0.400809 + 0.916162i \(0.631271\pi\)
\(648\) −1.92513e12 + 3.33442e12i −0.428916 + 0.742905i
\(649\) 2.98033e12 0.659422
\(650\) 7.59749e11 1.31592e12i 0.166940 0.289148i
\(651\) −5.21237e9 + 9.02809e9i −0.00113742 + 0.00197007i
\(652\) 2.92116e12 + 5.05960e12i 0.633054 + 1.09648i
\(653\) −6.02489e12 −1.29670 −0.648351 0.761342i \(-0.724541\pi\)
−0.648351 + 0.761342i \(0.724541\pi\)
\(654\) 6.35494e8 + 1.10071e9i 0.000135835 + 0.000235273i
\(655\) −4.58228e12 + 7.93674e12i −0.972737 + 1.68483i
\(656\) −2.89728e11 −0.0610834
\(657\) 1.11978e11 1.93951e11i 0.0234470 0.0406114i
\(658\) −1.67503e12 2.90123e12i −0.348341 0.603345i
\(659\) 4.62668e12 + 8.01365e12i 0.955621 + 1.65518i 0.732942 + 0.680291i \(0.238147\pi\)
0.222679 + 0.974892i \(0.428520\pi\)
\(660\) −3.66274e9 6.34404e9i −0.000751377 0.00130142i
\(661\) 8.52829e12 1.73762 0.868811 0.495144i \(-0.164885\pi\)
0.868811 + 0.495144i \(0.164885\pi\)
\(662\) 8.74004e11 + 1.51382e12i 0.176869 + 0.306347i
\(663\) 1.61347e9 + 2.79461e9i 0.000324302 + 0.000561708i
\(664\) −1.90632e12 + 3.30184e12i −0.380574 + 0.659174i
\(665\) 6.52218e12 1.12967e13i 1.29329 2.24004i
\(666\) 6.45473e11 0.127129
\(667\) 5.98233e12 1.17032
\(668\) 9.22246e11 1.59738e12i 0.179206 0.310394i
\(669\) −1.00321e10 + 1.73762e10i −0.00193631 + 0.00335379i
\(670\) −3.10976e12 5.38627e12i −0.596198 1.03265i
\(671\) −1.72002e12 2.97916e12i −0.327554 0.567340i
\(672\) 1.76812e10 0.00334465
\(673\) 1.16147e12 + 2.01173e12i 0.218243 + 0.378009i 0.954271 0.298943i \(-0.0966340\pi\)
−0.736028 + 0.676952i \(0.763301\pi\)
\(674\) −2.62294e11 4.54307e11i −0.0489575 0.0847969i
\(675\) 2.04498e10 + 3.54201e10i 0.00379160 + 0.00656724i
\(676\) −1.54028e12 + 2.66784e12i −0.283687 + 0.491360i
\(677\) −1.15477e12 −0.211274 −0.105637 0.994405i \(-0.533688\pi\)
−0.105637 + 0.994405i \(0.533688\pi\)
\(678\) −6.39548e8 + 1.10773e9i −0.000116236 + 0.000201326i
\(679\) −1.05249e12 1.82297e12i −0.190022 0.329128i
\(680\) −3.35654e12 −0.602008
\(681\) −8.78234e9 1.52115e10i −0.00156476 0.00271025i
\(682\) 4.39642e11 7.61483e11i 0.0778161 0.134781i
\(683\) 5.50718e12 9.53871e12i 0.968358 1.67725i 0.268049 0.963405i \(-0.413621\pi\)
0.700309 0.713840i \(-0.253046\pi\)
\(684\) 6.32593e12 1.10502
\(685\) −5.98379e12 + 1.03642e13i −1.03841 + 1.79858i
\(686\) −2.11663e12 −0.364911
\(687\) −3.09785e10 −0.00530585
\(688\) 4.67492e11 1.97878e12i 0.0795474 0.336705i
\(689\) −3.01527e12 −0.509729
\(690\) −1.55489e10 −0.00261143
\(691\) 4.18530e12 7.24915e12i 0.698353 1.20958i −0.270684 0.962668i \(-0.587250\pi\)
0.969037 0.246915i \(-0.0794169\pi\)
\(692\) 6.53664e12 1.08362
\(693\) 1.62019e12 2.80626e12i 0.266850 0.462198i
\(694\) −1.37379e12 + 2.37947e12i −0.224803 + 0.389370i
\(695\) 6.52049e11 + 1.12938e12i 0.106010 + 0.183616i
\(696\) 1.39212e10 0.00224872
\(697\) −2.51555e11 4.35706e11i −0.0403724 0.0699271i
\(698\) −9.00757e11 + 1.56016e12i −0.143634 + 0.248782i
\(699\) −3.33997e10 −0.00529170
\(700\) −3.82396e12 + 6.62329e12i −0.601966 + 1.04264i
\(701\) −3.42667e12 5.93516e12i −0.535970 0.928328i −0.999116 0.0420454i \(-0.986613\pi\)
0.463145 0.886282i \(-0.346721\pi\)
\(702\) −4.43957e9 7.68957e9i −0.000689960 0.00119505i
\(703\) −1.22491e12 2.12161e12i −0.189150 0.327617i
\(704\) −4.57818e11 −0.0702452
\(705\) −1.73243e10 3.00066e10i −0.00264122 0.00457473i
\(706\) −5.70432e11 9.88018e11i −0.0864138 0.149673i
\(707\) −3.80638e12 + 6.59285e12i −0.572961 + 0.992398i
\(708\) −1.02759e10 + 1.77984e10i −0.00153699 + 0.00266214i
\(709\) 4.52706e12 0.672835 0.336417 0.941713i \(-0.390785\pi\)
0.336417 + 0.941713i \(0.390785\pi\)
\(710\) −1.58413e12 −0.233953
\(711\) −3.42717e12 + 5.93603e12i −0.502947 + 0.871130i
\(712\) 1.18155e12 2.04650e12i 0.172303 0.298437i
\(713\) 3.00957e12 + 5.21273e12i 0.436115 + 0.755374i
\(714\) 2.51803e9 + 4.36136e9i 0.000362593 + 0.000628030i
\(715\) −2.49025e12 −0.356341
\(716\) −1.80379e12 3.12425e12i −0.256494 0.444261i
\(717\) −1.29192e10 2.23768e10i −0.00182558 0.00316199i
\(718\) −1.06361e12 1.84222e12i −0.149355 0.258691i
\(719\) 1.27801e11 2.21358e11i 0.0178343 0.0308899i −0.856971 0.515365i \(-0.827656\pi\)
0.874805 + 0.484476i \(0.160990\pi\)
\(720\) −3.82816e12 −0.530877
\(721\) 3.37062e12 5.83809e12i 0.464517 0.804567i
\(722\) 1.94617e12 + 3.37086e12i 0.266540 + 0.461661i
\(723\) 3.95241e10 0.00537947
\(724\) 4.53805e12 + 7.86014e12i 0.613827 + 1.06318i
\(725\) −4.71821e12 + 8.17218e12i −0.634244 + 1.09854i
\(726\) −4.02602e9 + 6.97328e9i −0.000537851 + 0.000931584i
\(727\) −1.77135e12 −0.235179 −0.117590 0.993062i \(-0.537517\pi\)
−0.117590 + 0.993062i \(0.537517\pi\)
\(728\) 1.91774e12 3.32163e12i 0.253046 0.438288i
\(729\) −7.62524e12 −0.999953
\(730\) −2.68602e11 −0.0350071
\(731\) 3.38168e12 1.01503e12i 0.438030 0.131477i
\(732\) 2.37219e10 0.00305386
\(733\) 1.63402e12 0.209069 0.104535 0.994521i \(-0.466665\pi\)
0.104535 + 0.994521i \(0.466665\pi\)
\(734\) 2.42431e11 4.19903e11i 0.0308287 0.0533969i
\(735\) 1.20925e10 0.00152835
\(736\) 5.10448e12 8.84121e12i 0.641211 1.11061i
\(737\) −2.93195e12 + 5.07829e12i −0.366061 + 0.634036i
\(738\) 3.46084e11 + 5.99435e11i 0.0429465 + 0.0743856i
\(739\) −4.28300e12 −0.528261 −0.264131 0.964487i \(-0.585085\pi\)
−0.264131 + 0.964487i \(0.585085\pi\)
\(740\) 1.24835e12 + 2.16221e12i 0.153037 + 0.265067i
\(741\) −8.42491e9 + 1.45924e10i −0.00102656 + 0.00177805i
\(742\) −4.70572e12 −0.569913
\(743\) 4.59700e12 7.96224e12i 0.553382 0.958486i −0.444645 0.895707i \(-0.646670\pi\)
0.998027 0.0627792i \(-0.0199964\pi\)
\(744\) 7.00342e9 + 1.21303e10i 0.000837976 + 0.00145142i
\(745\) −1.18334e13 2.04960e13i −1.40736 2.43762i
\(746\) 1.07683e12 + 1.86513e12i 0.127298 + 0.220487i
\(747\) −7.55085e12 −0.887265
\(748\) 6.84963e11 + 1.18639e12i 0.0800037 + 0.138570i
\(749\) −4.21927e12 7.30798e12i −0.489856 0.848456i
\(750\) 3.20985e9 5.55963e9i 0.000370433 0.000641608i
\(751\) 4.70931e12 8.15677e12i 0.540229 0.935704i −0.458662 0.888611i \(-0.651671\pi\)
0.998891 0.0470928i \(-0.0149957\pi\)
\(752\) 3.73143e12 0.425495
\(753\) −2.22333e10 −0.00252015
\(754\) 1.02431e12 1.77415e12i 0.115414 0.199903i
\(755\) −1.11916e13 + 1.93844e13i −1.25352 + 2.17116i
\(756\) 2.23452e10 + 3.87030e10i 0.00248792 + 0.00430920i
\(757\) 1.92471e12 + 3.33370e12i 0.213027 + 0.368974i 0.952660 0.304036i \(-0.0983344\pi\)
−0.739633 + 0.673010i \(0.765001\pi\)
\(758\) 2.77078e12 0.304853
\(759\) 7.32991e9 + 1.26958e10i 0.000801698 + 0.00138858i
\(760\) −8.76329e12 1.51785e13i −0.952810 1.65031i
\(761\) −5.14786e12 8.91635e12i −0.556411 0.963732i −0.997792 0.0664120i \(-0.978845\pi\)
0.441382 0.897319i \(-0.354489\pi\)
\(762\) −2.61651e9 + 4.53192e9i −0.000281141 + 0.000486951i