Properties

Label 43.10.c.a.6.17
Level 43
Weight 10
Character 43.6
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

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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 6.17
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.17

$q$-expansion

\(f(q)\) \(=\) \(q+1.79962 q^{2} +(-100.854 + 174.685i) q^{3} -508.761 q^{4} +(-371.655 + 643.725i) q^{5} +(-181.499 + 314.366i) q^{6} +(-4777.62 - 8275.08i) q^{7} -1836.98 q^{8} +(-10501.7 - 18189.4i) q^{9} +O(q^{10})\) \(q+1.79962 q^{2} +(-100.854 + 174.685i) q^{3} -508.761 q^{4} +(-371.655 + 643.725i) q^{5} +(-181.499 + 314.366i) q^{6} +(-4777.62 - 8275.08i) q^{7} -1836.98 q^{8} +(-10501.7 - 18189.4i) q^{9} +(-668.837 + 1158.46i) q^{10} -90787.3 q^{11} +(51310.8 - 88872.8i) q^{12} +(70075.7 + 121375. i) q^{13} +(-8597.88 - 14892.0i) q^{14} +(-74966.0 - 129845. i) q^{15} +257180. q^{16} +(54843.8 + 94992.3i) q^{17} +(-18899.0 - 32734.0i) q^{18} +(-91420.6 + 158345. i) q^{19} +(189084. - 327503. i) q^{20} +1.92737e6 q^{21} -163382. q^{22} +(-432097. + 748415. i) q^{23} +(185267. - 320892. i) q^{24} +(700307. + 1.21297e6i) q^{25} +(126109. + 218428. i) q^{26} +266325. q^{27} +(2.43067e6 + 4.21004e6i) q^{28} +(-2.36213e6 - 4.09134e6i) q^{29} +(-134910. - 233671. i) q^{30} +(305225. - 528665. i) q^{31} +1.40336e6 q^{32} +(9.15628e6 - 1.58591e7i) q^{33} +(98697.8 + 170950. i) q^{34} +7.10250e6 q^{35} +(5.34285e6 + 9.25408e6i) q^{36} +(6.11112e6 - 1.05848e7i) q^{37} +(-164522. + 284961. i) q^{38} -2.82697e7 q^{39} +(682723. - 1.18251e6i) q^{40} +1.72489e7 q^{41} +3.46853e6 q^{42} +(-1.87110e7 + 1.23488e7i) q^{43} +4.61891e7 q^{44} +1.56120e7 q^{45} +(-777610. + 1.34686e6i) q^{46} +4.37638e7 q^{47} +(-2.59377e7 + 4.49254e7i) q^{48} +(-2.54745e7 + 4.41231e7i) q^{49} +(1.26028e6 + 2.18288e6i) q^{50} -2.21249e7 q^{51} +(-3.56518e7 - 6.17508e7i) q^{52} +(6.47355e6 - 1.12125e7i) q^{53} +479282. q^{54} +(3.37415e7 - 5.84421e7i) q^{55} +(8.77638e6 + 1.52011e7i) q^{56} +(-1.84403e7 - 3.19396e7i) q^{57} +(-4.25094e6 - 7.36284e6i) q^{58} -3.13262e7 q^{59} +(3.81398e7 + 6.60601e7i) q^{60} +(-5.12049e7 - 8.86895e7i) q^{61} +(549287. - 951394. i) q^{62} +(-1.00346e8 + 1.73804e8i) q^{63} -1.29151e8 q^{64} -1.04176e8 q^{65} +(1.64778e7 - 2.85404e7i) q^{66} +(-3.17175e7 + 5.49364e7i) q^{67} +(-2.79024e7 - 4.83284e7i) q^{68} +(-8.71578e7 - 1.50962e8i) q^{69} +1.27818e7 q^{70} +(-1.73624e8 - 3.00725e8i) q^{71} +(1.92914e7 + 3.34136e7i) q^{72} +(5.04976e7 + 8.74645e7i) q^{73} +(1.09977e7 - 1.90485e7i) q^{74} -2.82516e8 q^{75} +(4.65113e7 - 8.05599e7i) q^{76} +(4.33747e8 + 7.51272e8i) q^{77} -5.08747e7 q^{78} +(2.05457e8 + 3.55863e8i) q^{79} +(-9.55822e7 + 1.65553e8i) q^{80} +(1.79844e8 - 3.11500e8i) q^{81} +3.10414e7 q^{82} +(-1.54309e8 + 2.67272e8i) q^{83} -9.80573e8 q^{84} -8.15319e7 q^{85} +(-3.36726e7 + 2.22231e7i) q^{86} +9.52925e8 q^{87} +1.66774e8 q^{88} +(2.81540e8 - 4.87641e8i) q^{89} +2.80956e7 q^{90} +(6.69590e8 - 1.15976e9i) q^{91} +(2.19835e8 - 3.80765e8i) q^{92} +(6.15664e7 + 1.06636e8i) q^{93} +7.87581e7 q^{94} +(-6.79539e7 - 1.17700e8i) q^{95} +(-1.41535e8 + 2.45145e8i) q^{96} +5.14501e8 q^{97} +(-4.58443e7 + 7.94046e7i) q^{98} +(9.53418e8 + 1.65137e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.79962 0.0795326 0.0397663 0.999209i \(-0.487339\pi\)
0.0397663 + 0.999209i \(0.487339\pi\)
\(3\) −100.854 + 174.685i −0.718867 + 1.24511i 0.242582 + 0.970131i \(0.422006\pi\)
−0.961449 + 0.274984i \(0.911328\pi\)
\(4\) −508.761 −0.993675
\(5\) −371.655 + 643.725i −0.265935 + 0.460612i −0.967808 0.251689i \(-0.919014\pi\)
0.701873 + 0.712302i \(0.252347\pi\)
\(6\) −181.499 + 314.366i −0.0571734 + 0.0990272i
\(7\) −4777.62 8275.08i −0.752091 1.30266i −0.946808 0.321800i \(-0.895712\pi\)
0.194717 0.980859i \(-0.437621\pi\)
\(8\) −1836.98 −0.158562
\(9\) −10501.7 18189.4i −0.533540 0.924119i
\(10\) −668.837 + 1158.46i −0.0211505 + 0.0366337i
\(11\) −90787.3 −1.86964 −0.934820 0.355123i \(-0.884439\pi\)
−0.934820 + 0.355123i \(0.884439\pi\)
\(12\) 51310.8 88872.8i 0.714320 1.23724i
\(13\) 70075.7 + 121375.i 0.680491 + 1.17865i 0.974831 + 0.222944i \(0.0715668\pi\)
−0.294340 + 0.955701i \(0.595100\pi\)
\(14\) −8597.88 14892.0i −0.0598157 0.103604i
\(15\) −74966.0 129845.i −0.382344 0.662238i
\(16\) 257180. 0.981064
\(17\) 54843.8 + 94992.3i 0.159260 + 0.275847i 0.934602 0.355695i \(-0.115756\pi\)
−0.775342 + 0.631542i \(0.782422\pi\)
\(18\) −18899.0 32734.0i −0.0424338 0.0734975i
\(19\) −91420.6 + 158345.i −0.160936 + 0.278749i −0.935205 0.354108i \(-0.884785\pi\)
0.774269 + 0.632857i \(0.218118\pi\)
\(20\) 189084. 327503.i 0.264253 0.457699i
\(21\) 1.92737e6 2.16261
\(22\) −163382. −0.148697
\(23\) −432097. + 748415.i −0.321963 + 0.557657i −0.980893 0.194548i \(-0.937676\pi\)
0.658930 + 0.752205i \(0.271009\pi\)
\(24\) 185267. 320892.i 0.113985 0.197428i
\(25\) 700307. + 1.21297e6i 0.358557 + 0.621040i
\(26\) 126109. + 218428.i 0.0541212 + 0.0937407i
\(27\) 266325. 0.0964439
\(28\) 2.43067e6 + 4.21004e6i 0.747333 + 1.29442i
\(29\) −2.36213e6 4.09134e6i −0.620174 1.07417i −0.989453 0.144854i \(-0.953729\pi\)
0.369279 0.929319i \(-0.379605\pi\)
\(30\) −134910. 233671.i −0.0304088 0.0526695i
\(31\) 305225. 528665.i 0.0593598 0.102814i −0.834818 0.550525i \(-0.814427\pi\)
0.894178 + 0.447711i \(0.147761\pi\)
\(32\) 1.40336e6 0.236589
\(33\) 9.15628e6 1.58591e7i 1.34402 2.32792i
\(34\) 98697.8 + 170950.i 0.0126664 + 0.0219388i
\(35\) 7.10250e6 0.800028
\(36\) 5.34285e6 + 9.25408e6i 0.530165 + 0.918273i
\(37\) 6.11112e6 1.05848e7i 0.536060 0.928483i −0.463052 0.886331i \(-0.653246\pi\)
0.999111 0.0421513i \(-0.0134211\pi\)
\(38\) −164522. + 284961.i −0.0127996 + 0.0221696i
\(39\) −2.82697e7 −1.95673
\(40\) 682723. 1.18251e6i 0.0421672 0.0730357i
\(41\) 1.72489e7 0.953308 0.476654 0.879091i \(-0.341849\pi\)
0.476654 + 0.879091i \(0.341849\pi\)
\(42\) 3.46853e6 0.171998
\(43\) −1.87110e7 + 1.23488e7i −0.834619 + 0.550828i
\(44\) 4.61891e7 1.85781
\(45\) 1.56120e7 0.567548
\(46\) −777610. + 1.34686e6i −0.0256066 + 0.0443519i
\(47\) 4.37638e7 1.30820 0.654101 0.756407i \(-0.273047\pi\)
0.654101 + 0.756407i \(0.273047\pi\)
\(48\) −2.59377e7 + 4.49254e7i −0.705255 + 1.22154i
\(49\) −2.54745e7 + 4.41231e7i −0.631281 + 1.09341i
\(50\) 1.26028e6 + 2.18288e6i 0.0285170 + 0.0493929i
\(51\) −2.21249e7 −0.457948
\(52\) −3.56518e7 6.17508e7i −0.676187 1.17119i
\(53\) 6.47355e6 1.12125e7i 0.112694 0.195192i −0.804162 0.594411i \(-0.797385\pi\)
0.916856 + 0.399219i \(0.130719\pi\)
\(54\) 479282. 0.00767043
\(55\) 3.37415e7 5.84421e7i 0.497202 0.861179i
\(56\) 8.77638e6 + 1.52011e7i 0.119253 + 0.206552i
\(57\) −1.84403e7 3.19396e7i −0.231383 0.400767i
\(58\) −4.25094e6 7.36284e6i −0.0493240 0.0854317i
\(59\) −3.13262e7 −0.336568 −0.168284 0.985739i \(-0.553823\pi\)
−0.168284 + 0.985739i \(0.553823\pi\)
\(60\) 3.81398e7 + 6.60601e7i 0.379925 + 0.658049i
\(61\) −5.12049e7 8.86895e7i −0.473508 0.820140i 0.526032 0.850465i \(-0.323679\pi\)
−0.999540 + 0.0303245i \(0.990346\pi\)
\(62\) 549287. 951394.i 0.00472103 0.00817707i
\(63\) −1.00346e8 + 1.73804e8i −0.802541 + 1.39004i
\(64\) −1.29151e8 −0.962247
\(65\) −1.04176e8 −0.723865
\(66\) 1.64778e7 2.85404e7i 0.106894 0.185145i
\(67\) −3.17175e7 + 5.49364e7i −0.192293 + 0.333061i −0.946010 0.324138i \(-0.894926\pi\)
0.753717 + 0.657199i \(0.228259\pi\)
\(68\) −2.79024e7 4.83284e7i −0.158253 0.274102i
\(69\) −8.71578e7 1.50962e8i −0.462898 0.801763i
\(70\) 1.27818e7 0.0636283
\(71\) −1.73624e8 3.00725e8i −0.810860 1.40445i −0.912263 0.409606i \(-0.865666\pi\)
0.101403 0.994845i \(-0.467667\pi\)
\(72\) 1.92914e7 + 3.34136e7i 0.0845992 + 0.146530i
\(73\) 5.04976e7 + 8.74645e7i 0.208122 + 0.360478i 0.951123 0.308812i \(-0.0999315\pi\)
−0.743001 + 0.669290i \(0.766598\pi\)
\(74\) 1.09977e7 1.90485e7i 0.0426342 0.0738446i
\(75\) −2.82516e8 −1.03102
\(76\) 4.65113e7 8.05599e7i 0.159918 0.276986i
\(77\) 4.33747e8 + 7.51272e8i 1.40614 + 2.43550i
\(78\) −5.08747e7 −0.155624
\(79\) 2.05457e8 + 3.55863e8i 0.593471 + 1.02792i 0.993761 + 0.111534i \(0.0355763\pi\)
−0.400289 + 0.916389i \(0.631090\pi\)
\(80\) −9.55822e7 + 1.65553e8i −0.260899 + 0.451890i
\(81\) 1.79844e8 3.11500e8i 0.464210 0.804035i
\(82\) 3.10414e7 0.0758190
\(83\) −1.54309e8 + 2.67272e8i −0.356896 + 0.618161i −0.987440 0.157991i \(-0.949498\pi\)
0.630545 + 0.776153i \(0.282831\pi\)
\(84\) −9.80573e8 −2.14893
\(85\) −8.15319e7 −0.169411
\(86\) −3.36726e7 + 2.22231e7i −0.0663794 + 0.0438088i
\(87\) 9.52925e8 1.78329
\(88\) 1.66774e8 0.296454
\(89\) 2.81540e8 4.87641e8i 0.475647 0.823844i −0.523964 0.851740i \(-0.675547\pi\)
0.999611 + 0.0278960i \(0.00888073\pi\)
\(90\) 2.80956e7 0.0451385
\(91\) 6.69590e8 1.15976e9i 1.02358 1.77290i
\(92\) 2.19835e8 3.80765e8i 0.319927 0.554130i
\(93\) 6.15664e7 + 1.06636e8i 0.0853436 + 0.147819i
\(94\) 7.87581e7 0.104045
\(95\) −6.79539e7 1.17700e8i −0.0855969 0.148258i
\(96\) −1.41535e8 + 2.45145e8i −0.170076 + 0.294580i
\(97\) 5.14501e8 0.590084 0.295042 0.955484i \(-0.404666\pi\)
0.295042 + 0.955484i \(0.404666\pi\)
\(98\) −4.58443e7 + 7.94046e7i −0.0502074 + 0.0869617i
\(99\) 9.53418e8 + 1.65137e9i 0.997528 + 1.72777i
\(100\) −3.56289e8 6.17111e8i −0.356289 0.617111i
\(101\) −9.18818e8 1.59144e9i −0.878584 1.52175i −0.852895 0.522082i \(-0.825156\pi\)
−0.0256885 0.999670i \(-0.508178\pi\)
\(102\) −3.98164e7 −0.0364218
\(103\) −3.54468e8 6.13956e8i −0.310320 0.537490i 0.668112 0.744061i \(-0.267103\pi\)
−0.978432 + 0.206571i \(0.933769\pi\)
\(104\) −1.28728e8 2.22963e8i −0.107900 0.186888i
\(105\) −7.16318e8 + 1.24070e9i −0.575114 + 0.996127i
\(106\) 1.16499e7 2.01782e7i 0.00896286 0.0155241i
\(107\) 1.43343e9 1.05718 0.528591 0.848877i \(-0.322721\pi\)
0.528591 + 0.848877i \(0.322721\pi\)
\(108\) −1.35496e8 −0.0958338
\(109\) −7.20533e8 + 1.24800e9i −0.488917 + 0.846828i −0.999919 0.0127511i \(-0.995941\pi\)
0.511002 + 0.859579i \(0.329274\pi\)
\(110\) 6.07218e7 1.05173e8i 0.0395438 0.0684918i
\(111\) 1.23267e9 + 2.13504e9i 0.770711 + 1.33491i
\(112\) −1.22871e9 2.12818e9i −0.737849 1.27799i
\(113\) 1.58269e9 0.913152 0.456576 0.889684i \(-0.349076\pi\)
0.456576 + 0.889684i \(0.349076\pi\)
\(114\) −3.31855e7 5.74790e7i −0.0184025 0.0318741i
\(115\) −3.21182e8 5.56304e8i −0.171242 0.296601i
\(116\) 1.20176e9 + 2.08151e9i 0.616251 + 1.06738i
\(117\) 1.47182e9 2.54927e9i 0.726139 1.25771i
\(118\) −5.63751e7 −0.0267681
\(119\) 5.24046e8 9.07673e8i 0.239556 0.414924i
\(120\) 1.37711e8 + 2.38522e8i 0.0606252 + 0.105006i
\(121\) 5.88438e9 2.49555
\(122\) −9.21492e7 1.59607e8i −0.0376593 0.0652279i
\(123\) −1.73962e9 + 3.01311e9i −0.685302 + 1.18698i
\(124\) −1.55287e8 + 2.68964e8i −0.0589843 + 0.102164i
\(125\) −2.49287e9 −0.913281
\(126\) −1.80584e8 + 3.12781e8i −0.0638282 + 0.110554i
\(127\) −4.91530e9 −1.67662 −0.838308 0.545198i \(-0.816455\pi\)
−0.838308 + 0.545198i \(0.816455\pi\)
\(128\) −9.50941e8 −0.313119
\(129\) −2.70065e8 4.51395e9i −0.0858646 1.43517i
\(130\) −1.87477e8 −0.0575708
\(131\) 3.28003e9 0.973098 0.486549 0.873653i \(-0.338256\pi\)
0.486549 + 0.873653i \(0.338256\pi\)
\(132\) −4.65836e9 + 8.06852e9i −1.33552 + 2.31319i
\(133\) 1.74709e9 0.484154
\(134\) −5.70794e7 + 9.88644e7i −0.0152935 + 0.0264892i
\(135\) −9.89809e7 + 1.71440e8i −0.0256478 + 0.0444232i
\(136\) −1.00747e8 1.74499e8i −0.0252526 0.0437389i
\(137\) −4.30090e8 −0.104308 −0.0521539 0.998639i \(-0.516609\pi\)
−0.0521539 + 0.998639i \(0.516609\pi\)
\(138\) −1.56851e8 2.71673e8i −0.0368155 0.0637662i
\(139\) 2.28414e9 3.95625e9i 0.518986 0.898911i −0.480770 0.876847i \(-0.659643\pi\)
0.999757 0.0220641i \(-0.00702380\pi\)
\(140\) −3.61348e9 −0.794968
\(141\) −4.41377e9 + 7.64487e9i −0.940424 + 1.62886i
\(142\) −3.12456e8 5.41189e8i −0.0644898 0.111700i
\(143\) −6.36198e9 1.10193e10i −1.27227 2.20364i
\(144\) −2.70082e9 4.67796e9i −0.523437 0.906619i
\(145\) 3.51160e9 0.659703
\(146\) 9.08764e7 + 1.57403e8i 0.0165525 + 0.0286698i
\(147\) −5.13842e9 8.90000e9i −0.907614 1.57203i
\(148\) −3.10910e9 + 5.38512e9i −0.532669 + 0.922610i
\(149\) −1.92619e9 + 3.33626e9i −0.320156 + 0.554527i −0.980520 0.196419i \(-0.937069\pi\)
0.660364 + 0.750946i \(0.270402\pi\)
\(150\) −5.08421e8 −0.0819997
\(151\) −1.21388e10 −1.90012 −0.950059 0.312071i \(-0.898977\pi\)
−0.950059 + 0.312071i \(0.898977\pi\)
\(152\) 1.67938e8 2.90877e8i 0.0255183 0.0441991i
\(153\) 1.15190e9 1.99516e9i 0.169944 0.294351i
\(154\) 7.80578e8 + 1.35200e9i 0.111834 + 0.193702i
\(155\) 2.26877e8 + 3.92962e8i 0.0315716 + 0.0546837i
\(156\) 1.43826e10 1.94435
\(157\) 4.24066e9 + 7.34505e9i 0.557039 + 0.964820i 0.997742 + 0.0671666i \(0.0213959\pi\)
−0.440703 + 0.897653i \(0.645271\pi\)
\(158\) 3.69744e8 + 6.40416e8i 0.0472003 + 0.0817533i
\(159\) 1.30577e9 + 2.26166e9i 0.162024 + 0.280634i
\(160\) −5.21565e8 + 9.03378e8i −0.0629171 + 0.108976i
\(161\) 8.25759e9 0.968583
\(162\) 3.23651e8 5.60580e8i 0.0369198 0.0639470i
\(163\) 7.03474e9 + 1.21845e10i 0.780556 + 1.35196i 0.931618 + 0.363438i \(0.118397\pi\)
−0.151062 + 0.988524i \(0.548269\pi\)
\(164\) −8.77556e9 −0.947278
\(165\) 6.80596e9 + 1.17883e10i 0.714844 + 1.23815i
\(166\) −2.77698e8 + 4.80987e8i −0.0283848 + 0.0491640i
\(167\) 8.34850e9 1.44600e10i 0.830586 1.43862i −0.0669887 0.997754i \(-0.521339\pi\)
0.897574 0.440863i \(-0.145328\pi\)
\(168\) −3.54054e9 −0.342908
\(169\) −4.51896e9 + 7.82707e9i −0.426136 + 0.738090i
\(170\) −1.46726e8 −0.0134737
\(171\) 3.84028e9 0.343463
\(172\) 9.51941e9 6.28259e9i 0.829339 0.547344i
\(173\) 2.15678e9 0.183062 0.0915311 0.995802i \(-0.470824\pi\)
0.0915311 + 0.995802i \(0.470824\pi\)
\(174\) 1.71490e9 0.141830
\(175\) 6.69160e9 1.15902e10i 0.539335 0.934156i
\(176\) −2.33487e10 −1.83424
\(177\) 3.15938e9 5.47220e9i 0.241948 0.419066i
\(178\) 5.06663e8 8.77567e8i 0.0378294 0.0655225i
\(179\) −2.92312e9 5.06300e9i −0.212818 0.368612i 0.739777 0.672852i \(-0.234931\pi\)
−0.952595 + 0.304240i \(0.901597\pi\)
\(180\) −7.94278e9 −0.563958
\(181\) 8.84208e9 + 1.53149e10i 0.612352 + 1.06062i 0.990843 + 0.135019i \(0.0431096\pi\)
−0.378491 + 0.925605i \(0.623557\pi\)
\(182\) 1.20501e9 2.08713e9i 0.0814081 0.141003i
\(183\) 2.06569e10 1.36156
\(184\) 7.93754e8 1.37482e9i 0.0510512 0.0884232i
\(185\) 4.54246e9 + 7.86777e9i 0.285114 + 0.493832i
\(186\) 1.10796e8 + 1.91904e8i 0.00678759 + 0.0117565i
\(187\) −4.97912e9 8.62409e9i −0.297759 0.515734i
\(188\) −2.22653e10 −1.29993
\(189\) −1.27240e9 2.20386e9i −0.0725345 0.125633i
\(190\) −1.22291e8 2.11814e8i −0.00680774 0.0117914i
\(191\) 4.14251e9 7.17504e9i 0.225224 0.390099i −0.731163 0.682203i \(-0.761022\pi\)
0.956386 + 0.292104i \(0.0943554\pi\)
\(192\) 1.30254e10 2.25606e10i 0.691728 1.19811i
\(193\) −1.56419e10 −0.811490 −0.405745 0.913986i \(-0.632988\pi\)
−0.405745 + 0.913986i \(0.632988\pi\)
\(194\) 9.25905e8 0.0469309
\(195\) 1.05066e10 1.81980e10i 0.520363 0.901295i
\(196\) 1.29604e10 2.24481e10i 0.627288 1.08649i
\(197\) 1.43688e10 + 2.48875e10i 0.679708 + 1.17729i 0.975069 + 0.221903i \(0.0712268\pi\)
−0.295361 + 0.955386i \(0.595440\pi\)
\(198\) 1.71579e9 + 2.97183e9i 0.0793359 + 0.137414i
\(199\) −2.17991e10 −0.985369 −0.492684 0.870208i \(-0.663984\pi\)
−0.492684 + 0.870208i \(0.663984\pi\)
\(200\) −1.28645e9 2.22820e9i −0.0568536 0.0984733i
\(201\) −6.39770e9 1.10811e10i −0.276466 0.478853i
\(202\) −1.65352e9 2.86398e9i −0.0698760 0.121029i
\(203\) −2.25707e10 + 3.90937e10i −0.932854 + 1.61575i
\(204\) 1.12563e10 0.455051
\(205\) −6.41063e9 + 1.11035e10i −0.253518 + 0.439106i
\(206\) −6.37906e8 1.10489e9i −0.0246805 0.0427479i
\(207\) 1.81510e10 0.687122
\(208\) 1.80221e10 + 3.12151e10i 0.667605 + 1.15633i
\(209\) 8.29983e9 1.43757e10i 0.300892 0.521160i
\(210\) −1.28910e9 + 2.23278e9i −0.0457403 + 0.0792245i
\(211\) 3.04854e10 1.05882 0.529408 0.848367i \(-0.322414\pi\)
0.529408 + 0.848367i \(0.322414\pi\)
\(212\) −3.29349e9 + 5.70450e9i −0.111981 + 0.193957i
\(213\) 7.00427e10 2.33160
\(214\) 2.57962e9 0.0840803
\(215\) −9.95207e8 1.66342e10i −0.0317644 0.530920i
\(216\) −4.89233e8 −0.0152923
\(217\) −5.83299e9 −0.178576
\(218\) −1.29668e9 + 2.24592e9i −0.0388848 + 0.0673504i
\(219\) −2.03716e10 −0.598449
\(220\) −1.71664e10 + 2.97331e10i −0.494057 + 0.855732i
\(221\) −7.68644e9 + 1.33133e10i −0.216750 + 0.375423i
\(222\) 2.21833e9 + 3.84225e9i 0.0612967 + 0.106169i
\(223\) −4.04183e10 −1.09448 −0.547238 0.836977i \(-0.684321\pi\)
−0.547238 + 0.836977i \(0.684321\pi\)
\(224\) −6.70471e9 1.16129e10i −0.177936 0.308194i
\(225\) 1.47088e10 2.54764e10i 0.382610 0.662699i
\(226\) 2.84824e9 0.0726253
\(227\) 2.68919e10 4.65782e10i 0.672211 1.16430i −0.305065 0.952332i \(-0.598678\pi\)
0.977276 0.211972i \(-0.0679886\pi\)
\(228\) 9.38173e9 + 1.62496e10i 0.229920 + 0.398232i
\(229\) 1.53757e10 + 2.66315e10i 0.369466 + 0.639934i 0.989482 0.144655i \(-0.0462072\pi\)
−0.620016 + 0.784589i \(0.712874\pi\)
\(230\) −5.78005e8 1.00113e9i −0.0136194 0.0235894i
\(231\) −1.74981e11 −4.04331
\(232\) 4.33919e9 + 7.51570e9i 0.0983361 + 0.170323i
\(233\) −5.62090e9 9.73569e9i −0.124941 0.216404i 0.796769 0.604284i \(-0.206541\pi\)
−0.921710 + 0.387880i \(0.873207\pi\)
\(234\) 2.64872e9 4.58772e9i 0.0577517 0.100029i
\(235\) −1.62650e10 + 2.81719e10i −0.347896 + 0.602574i
\(236\) 1.59375e10 0.334439
\(237\) −8.28850e10 −1.70651
\(238\) 9.43081e8 1.63346e9i 0.0190525 0.0330000i
\(239\) −3.21332e10 + 5.56563e10i −0.637035 + 1.10338i 0.349045 + 0.937106i \(0.386506\pi\)
−0.986080 + 0.166271i \(0.946827\pi\)
\(240\) −1.92798e10 3.33935e10i −0.375103 0.649698i
\(241\) −1.38185e10 2.39343e10i −0.263866 0.457029i 0.703400 0.710794i \(-0.251664\pi\)
−0.967266 + 0.253765i \(0.918331\pi\)
\(242\) 1.05896e10 0.198478
\(243\) 3.88972e10 + 6.73719e10i 0.715632 + 1.23951i
\(244\) 2.60511e10 + 4.51218e10i 0.470513 + 0.814953i
\(245\) −1.89354e10 3.27971e10i −0.335759 0.581552i
\(246\) −3.13065e9 + 5.42245e9i −0.0545038 + 0.0944034i
\(247\) −2.56255e10 −0.438062
\(248\) −5.60691e8 + 9.71146e8i −0.00941220 + 0.0163024i
\(249\) −3.11255e10 5.39110e10i −0.513121 0.888752i
\(250\) −4.48621e9 −0.0726356
\(251\) −1.87460e10 3.24690e10i −0.298110 0.516342i 0.677593 0.735437i \(-0.263023\pi\)
−0.975704 + 0.219095i \(0.929690\pi\)
\(252\) 5.10521e10 8.84249e10i 0.797465 1.38125i
\(253\) 3.92289e10 6.79465e10i 0.601955 1.04262i
\(254\) −8.84566e9 −0.133345
\(255\) 8.22284e9 1.42424e10i 0.121784 0.210937i
\(256\) 6.44138e10 0.937344
\(257\) −9.88757e9 −0.141381 −0.0706904 0.997498i \(-0.522520\pi\)
−0.0706904 + 0.997498i \(0.522520\pi\)
\(258\) −4.86013e8 8.12337e9i −0.00682903 0.114143i
\(259\) −1.16786e11 −1.61266
\(260\) 5.30007e10 0.719286
\(261\) −4.96127e10 + 8.59317e10i −0.661776 + 1.14623i
\(262\) 5.90279e9 0.0773930
\(263\) 4.09698e10 7.09617e10i 0.528035 0.914583i −0.471431 0.881903i \(-0.656262\pi\)
0.999466 0.0326804i \(-0.0104044\pi\)
\(264\) −1.68199e10 + 2.91329e10i −0.213111 + 0.369119i
\(265\) 4.81186e9 + 8.33438e9i 0.0599386 + 0.103817i
\(266\) 3.14409e9 0.0385060
\(267\) 5.67890e10 + 9.83614e10i 0.683854 + 1.18447i
\(268\) 1.61367e10 2.79495e10i 0.191076 0.330954i
\(269\) −9.02915e10 −1.05138 −0.525692 0.850675i \(-0.676194\pi\)
−0.525692 + 0.850675i \(0.676194\pi\)
\(270\) −1.78128e8 + 3.08526e8i −0.00203983 + 0.00353309i
\(271\) 1.85305e10 + 3.20957e10i 0.208701 + 0.361481i 0.951306 0.308249i \(-0.0997432\pi\)
−0.742605 + 0.669730i \(0.766410\pi\)
\(272\) 1.41047e10 + 2.44301e10i 0.156244 + 0.270623i
\(273\) 1.35062e11 + 2.33934e11i 1.47164 + 2.54895i
\(274\) −7.73997e8 −0.00829587
\(275\) −6.35790e10 1.10122e11i −0.670373 1.16112i
\(276\) 4.43425e10 + 7.68035e10i 0.459970 + 0.796691i
\(277\) 8.99531e10 1.55803e11i 0.918031 1.59008i 0.115629 0.993293i \(-0.463112\pi\)
0.802402 0.596784i \(-0.203555\pi\)
\(278\) 4.11057e9 7.11972e9i 0.0412763 0.0714927i
\(279\) −1.28215e10 −0.126683
\(280\) −1.30472e10 −0.126854
\(281\) 6.02588e10 1.04371e11i 0.576556 0.998625i −0.419314 0.907841i \(-0.637729\pi\)
0.995871 0.0907839i \(-0.0289373\pi\)
\(282\) −7.94309e9 + 1.37578e10i −0.0747943 + 0.129548i
\(283\) 8.52548e10 + 1.47666e11i 0.790096 + 1.36849i 0.925907 + 0.377752i \(0.123303\pi\)
−0.135810 + 0.990735i \(0.543364\pi\)
\(284\) 8.83329e10 + 1.52997e11i 0.805731 + 1.39557i
\(285\) 2.74138e10 0.246131
\(286\) −1.14491e10 1.98305e10i −0.101187 0.175261i
\(287\) −8.24085e10 1.42736e11i −0.716974 1.24184i
\(288\) −1.47376e10 2.55263e10i −0.126230 0.218636i
\(289\) 5.32783e10 9.22806e10i 0.449272 0.778162i
\(290\) 6.31953e9 0.0524679
\(291\) −5.18897e10 + 8.98755e10i −0.424192 + 0.734722i
\(292\) −2.56913e10 4.44986e10i −0.206806 0.358198i
\(293\) −1.43952e11 −1.14107 −0.570536 0.821272i \(-0.693265\pi\)
−0.570536 + 0.821272i \(0.693265\pi\)
\(294\) −9.24718e9 1.60166e10i −0.0721849 0.125028i
\(295\) 1.16425e10 2.01654e10i 0.0895052 0.155028i
\(296\) −1.12260e10 + 1.94440e10i −0.0849987 + 0.147222i
\(297\) −2.41789e10 −0.180315
\(298\) −3.46641e9 + 6.00400e9i −0.0254628 + 0.0441029i
\(299\) −1.21118e11 −0.876373
\(300\) 1.43733e11 1.02450
\(301\) 1.91581e11 + 9.58368e10i 1.34525 + 0.672951i
\(302\) −2.18452e10 −0.151121
\(303\) 3.70667e11 2.52634
\(304\) −2.35116e10 + 4.07232e10i −0.157888 + 0.273471i
\(305\) 7.61223e10 0.503689
\(306\) 2.07298e9 3.59051e9i 0.0135160 0.0234105i
\(307\) 6.07117e10 1.05156e11i 0.390077 0.675633i −0.602383 0.798207i \(-0.705782\pi\)
0.992459 + 0.122575i \(0.0391152\pi\)
\(308\) −2.20674e11 3.82218e11i −1.39724 2.42010i
\(309\) 1.42998e11 0.892315
\(310\) 4.08291e8 + 7.07181e8i 0.00251097 + 0.00434913i
\(311\) −3.74984e8 + 6.49492e8i −0.00227296 + 0.00393688i −0.867160 0.498030i \(-0.834057\pi\)
0.864887 + 0.501967i \(0.167390\pi\)
\(312\) 5.19309e10 0.310263
\(313\) −1.85064e10 + 3.20541e10i −0.108987 + 0.188770i −0.915360 0.402636i \(-0.868094\pi\)
0.806373 + 0.591407i \(0.201427\pi\)
\(314\) 7.63157e9 + 1.32183e10i 0.0443027 + 0.0767346i
\(315\) −7.45882e10 1.29190e11i −0.426847 0.739321i
\(316\) −1.04529e11 1.81049e11i −0.589717 1.02142i
\(317\) −1.75299e11 −0.975019 −0.487510 0.873118i \(-0.662095\pi\)
−0.487510 + 0.873118i \(0.662095\pi\)
\(318\) 2.34989e9 + 4.07013e9i 0.0128862 + 0.0223196i
\(319\) 2.14452e11 + 3.71441e11i 1.15950 + 2.00832i
\(320\) 4.79995e10 8.31376e10i 0.255895 0.443223i
\(321\) −1.44568e11 + 2.50398e11i −0.759973 + 1.31631i
\(322\) 1.48605e10 0.0770339
\(323\) −2.00554e10 −0.102523
\(324\) −9.14979e10 + 1.58479e11i −0.461274 + 0.798949i
\(325\) −9.81491e10 + 1.69999e11i −0.487990 + 0.845224i
\(326\) 1.26598e10 + 2.19275e10i 0.0620796 + 0.107525i
\(327\) −1.45338e11 2.51732e11i −0.702932 1.21751i
\(328\) −3.16858e10 −0.151159
\(329\) −2.09087e11 3.62149e11i −0.983887 1.70414i
\(330\) 1.22481e10 + 2.12144e10i 0.0568534 + 0.0984730i
\(331\) 1.24883e11 + 2.16304e11i 0.571843 + 0.990462i 0.996377 + 0.0850495i \(0.0271049\pi\)
−0.424533 + 0.905412i \(0.639562\pi\)
\(332\) 7.85067e10 1.35978e11i 0.354638 0.614251i
\(333\) −2.56708e11 −1.14404
\(334\) 1.50241e10 2.60225e10i 0.0660586 0.114417i
\(335\) −2.35760e10 4.08348e10i −0.102275 0.177145i
\(336\) 4.95682e11 2.12166
\(337\) −3.03878e10 5.26333e10i −0.128341 0.222293i 0.794693 0.607012i \(-0.207632\pi\)
−0.923034 + 0.384719i \(0.874299\pi\)
\(338\) −8.13240e9 + 1.40857e10i −0.0338917 + 0.0587022i
\(339\) −1.59621e11 + 2.76472e11i −0.656435 + 1.13698i
\(340\) 4.14803e10 0.168340
\(341\) −2.77105e10 + 4.79960e10i −0.110981 + 0.192225i
\(342\) 6.91103e9 0.0273165
\(343\) 1.01241e11 0.394940
\(344\) 3.43716e10 2.26845e10i 0.132339 0.0873405i
\(345\) 1.29571e11 0.492402
\(346\) 3.88138e9 0.0145594
\(347\) 6.95761e10 1.20509e11i 0.257619 0.446209i −0.707985 0.706228i \(-0.750395\pi\)
0.965604 + 0.260019i \(0.0837288\pi\)
\(348\) −4.84812e11 −1.77201
\(349\) −9.58825e10 + 1.66073e11i −0.345959 + 0.599219i −0.985528 0.169515i \(-0.945780\pi\)
0.639568 + 0.768734i \(0.279113\pi\)
\(350\) 1.20423e10 2.08579e10i 0.0428947 0.0742959i
\(351\) 1.86629e10 + 3.23251e10i 0.0656292 + 0.113673i
\(352\) −1.27407e11 −0.442335
\(353\) −9.78742e10 1.69523e11i −0.335492 0.581089i 0.648087 0.761566i \(-0.275569\pi\)
−0.983579 + 0.180477i \(0.942236\pi\)
\(354\) 5.68567e9 9.84786e9i 0.0192427 0.0333294i
\(355\) 2.58112e11 0.862544
\(356\) −1.43237e11 + 2.48093e11i −0.472638 + 0.818633i
\(357\) 1.05704e11 + 1.83086e11i 0.344418 + 0.596550i
\(358\) −5.26050e9 9.11145e9i −0.0169260 0.0293166i
\(359\) −1.64360e11 2.84680e11i −0.522242 0.904550i −0.999665 0.0258764i \(-0.991762\pi\)
0.477423 0.878674i \(-0.341571\pi\)
\(360\) −2.86789e10 −0.0899915
\(361\) 1.44628e11 + 2.50504e11i 0.448199 + 0.776304i
\(362\) 1.59124e10 + 2.75610e10i 0.0487019 + 0.0843542i
\(363\) −5.93465e11 + 1.02791e12i −1.79397 + 3.10725i
\(364\) −3.40662e11 + 5.90043e11i −1.01711 + 1.76168i
\(365\) −7.50708e10 −0.221388
\(366\) 3.71746e10 0.108288
\(367\) 2.98391e11 5.16828e11i 0.858594 1.48713i −0.0146765 0.999892i \(-0.504672\pi\)
0.873270 0.487236i \(-0.161995\pi\)
\(368\) −1.11127e11 + 1.92477e11i −0.315867 + 0.547097i
\(369\) −1.81142e11 3.13747e11i −0.508628 0.880970i
\(370\) 8.17468e9 + 1.41590e10i 0.0226758 + 0.0392757i
\(371\) −1.23713e11 −0.339025
\(372\) −3.13226e10 5.42524e10i −0.0848037 0.146884i
\(373\) −1.76908e11 3.06414e11i −0.473214 0.819631i 0.526316 0.850289i \(-0.323573\pi\)
−0.999530 + 0.0306581i \(0.990240\pi\)
\(374\) −8.96051e9 1.55201e10i −0.0236816 0.0410177i
\(375\) 2.51417e11 4.35466e11i 0.656528 1.13714i
\(376\) −8.03932e10 −0.207431
\(377\) 3.31056e11 5.73407e11i 0.844046 1.46193i
\(378\) −2.28983e9 3.96610e9i −0.00576886 0.00999195i
\(379\) −6.98248e10 −0.173833 −0.0869167 0.996216i \(-0.527701\pi\)
−0.0869167 + 0.996216i \(0.527701\pi\)
\(380\) 3.45723e10 + 5.98810e10i 0.0850555 + 0.147320i
\(381\) 4.95729e11 8.58628e11i 1.20526 2.08758i
\(382\) 7.45493e9 1.29123e10i 0.0179126 0.0310255i
\(383\) 3.07526e11 0.730276 0.365138 0.930953i \(-0.381022\pi\)
0.365138 + 0.930953i \(0.381022\pi\)
\(384\) 9.59065e10 1.66115e11i 0.225091 0.389868i
\(385\) −6.44817e11 −1.49576
\(386\) −2.81495e10 −0.0645399
\(387\) 4.21114e11 + 2.10659e11i 0.954333 + 0.477398i
\(388\) −2.61758e11 −0.586351
\(389\) 4.61522e11 1.02192 0.510962 0.859603i \(-0.329289\pi\)
0.510962 + 0.859603i \(0.329289\pi\)
\(390\) 1.89078e10 3.27493e10i 0.0413858 0.0716823i
\(391\) −9.47915e10 −0.205104
\(392\) 4.67960e10 8.10531e10i 0.100097 0.173373i
\(393\) −3.30805e11 + 5.72970e11i −0.699528 + 1.21162i
\(394\) 2.58583e10 + 4.47879e10i 0.0540589 + 0.0936328i
\(395\) −3.05437e11 −0.631299
\(396\) −4.85062e11 8.40152e11i −0.991218 1.71684i
\(397\) 2.94343e11 5.09817e11i 0.594698 1.03005i −0.398892 0.916998i \(-0.630605\pi\)
0.993589 0.113048i \(-0.0360615\pi\)
\(398\) −3.92299e10 −0.0783689
\(399\) −1.76202e11 + 3.05190e11i −0.348042 + 0.602827i
\(400\) 1.80105e11 + 3.11951e11i 0.351768 + 0.609280i
\(401\) −2.09391e11 3.62676e11i −0.404398 0.700437i 0.589854 0.807510i \(-0.299185\pi\)
−0.994251 + 0.107073i \(0.965852\pi\)
\(402\) −1.15134e10 1.99418e10i −0.0219880 0.0380844i
\(403\) 8.55554e10 0.161575
\(404\) 4.67459e11 + 8.09663e11i 0.873026 + 1.51213i
\(405\) 1.33680e11 + 2.31541e11i 0.246899 + 0.427642i
\(406\) −4.06187e10 + 7.03536e10i −0.0741923 + 0.128505i
\(407\) −5.54812e11 + 9.60962e11i −1.00224 + 1.73593i
\(408\) 4.06430e10 0.0726132
\(409\) 4.49397e11 0.794101 0.397050 0.917797i \(-0.370034\pi\)
0.397050 + 0.917797i \(0.370034\pi\)
\(410\) −1.15367e10 + 1.99821e10i −0.0201629 + 0.0349232i
\(411\) 4.33764e10 7.51302e10i 0.0749835 0.129875i
\(412\) 1.80340e11 + 3.12357e11i 0.308357 + 0.534090i
\(413\) 1.49664e11 + 2.59226e11i 0.253130 + 0.438434i
\(414\) 3.26648e10 0.0546485
\(415\) −1.14700e11 1.98666e11i −0.189822 0.328781i
\(416\) 9.83414e10 + 1.70332e11i 0.160996 + 0.278854i
\(417\) 4.60730e11 + 7.98009e11i 0.746165 + 1.29240i
\(418\) 1.49365e10 2.58708e10i 0.0239307 0.0414492i
\(419\) 8.87378e11 1.40652 0.703260 0.710933i \(-0.251727\pi\)
0.703260 + 0.710933i \(0.251727\pi\)
\(420\) 3.64435e11 6.31220e11i 0.571476 0.989826i
\(421\) −2.35456e11 4.07822e11i −0.365292 0.632705i 0.623531 0.781799i \(-0.285698\pi\)
−0.988823 + 0.149094i \(0.952364\pi\)
\(422\) 5.48620e10 0.0842103
\(423\) −4.59593e11 7.96039e11i −0.697978 1.20893i
\(424\) −1.18918e10 + 2.05972e10i −0.0178690 + 0.0309500i
\(425\) −7.68151e10 + 1.33048e11i −0.114208 + 0.197814i
\(426\) 1.26050e11 0.185438
\(427\) −4.89275e11 + 8.47450e11i −0.712242 + 1.23364i
\(428\) −7.29274e11 −1.05049
\(429\) 2.56653e12 3.65838
\(430\) −1.79099e9 2.99352e10i −0.00252630 0.0422254i
\(431\) 9.59616e10 0.133952 0.0669761 0.997755i \(-0.478665\pi\)
0.0669761 + 0.997755i \(0.478665\pi\)
\(432\) 6.84934e10 0.0946176
\(433\) 6.33440e11 1.09715e12i 0.865985 1.49993i −8.17470e−5 1.00000i \(-0.500026\pi\)
0.866066 0.499929i \(-0.166641\pi\)
\(434\) −1.04971e10 −0.0142026
\(435\) −3.54160e11 + 6.13422e11i −0.474239 + 0.821406i
\(436\) 3.66579e11 6.34934e11i 0.485824 0.841472i
\(437\) −7.90053e10 1.36841e11i −0.103631 0.179494i
\(438\) −3.66611e10 −0.0475962
\(439\) 2.89207e11 + 5.00920e11i 0.371636 + 0.643692i 0.989817 0.142343i \(-0.0454636\pi\)
−0.618181 + 0.786035i \(0.712130\pi\)
\(440\) −6.19825e10 + 1.07357e11i −0.0788374 + 0.136550i
\(441\) 1.07010e12 1.34725
\(442\) −1.38326e10 + 2.39588e10i −0.0172387 + 0.0298583i
\(443\) −2.48939e11 4.31175e11i −0.307097 0.531908i 0.670629 0.741793i \(-0.266024\pi\)
−0.977726 + 0.209885i \(0.932691\pi\)
\(444\) −6.27133e11 1.08623e12i −0.765836 1.32647i
\(445\) 2.09271e11 + 3.62469e11i 0.252982 + 0.438178i
\(446\) −7.27374e10 −0.0870465
\(447\) −3.88530e11 6.72953e11i −0.460299 0.797262i
\(448\) 6.17032e11 + 1.06873e12i 0.723697 + 1.25348i
\(449\) −3.14558e11 + 5.44830e11i −0.365251 + 0.632633i −0.988816 0.149138i \(-0.952350\pi\)
0.623565 + 0.781771i \(0.285684\pi\)
\(450\) 2.64702e10 4.58477e10i 0.0304299 0.0527062i
\(451\) −1.56598e12 −1.78234
\(452\) −8.05212e11 −0.907376
\(453\) 1.22425e12 2.12047e12i 1.36593 2.36586i
\(454\) 4.83952e10 8.38229e10i 0.0534627 0.0926001i
\(455\) 4.97713e11 + 8.62064e11i 0.544412 + 0.942949i
\(456\) 3.38745e10 + 5.86723e10i 0.0366886 + 0.0635465i
\(457\) −9.63187e11 −1.03297 −0.516485 0.856296i \(-0.672760\pi\)
−0.516485 + 0.856296i \(0.672760\pi\)
\(458\) 2.76703e10 + 4.79264e10i 0.0293846 + 0.0508956i
\(459\) 1.46063e10 + 2.52988e10i 0.0153597 + 0.0266037i
\(460\) 1.63405e11 + 2.83026e11i 0.170159 + 0.294725i
\(461\) −7.65850e11 + 1.32649e12i −0.789750 + 1.36789i 0.136371 + 0.990658i \(0.456456\pi\)
−0.926120 + 0.377229i \(0.876877\pi\)
\(462\) −3.14899e11 −0.321575
\(463\) 2.83628e11 4.91259e11i 0.286837 0.496816i −0.686216 0.727398i \(-0.740730\pi\)
0.973053 + 0.230582i \(0.0740629\pi\)
\(464\) −6.07494e11 1.05221e12i −0.608430 1.05383i
\(465\) −9.15259e10 −0.0907833
\(466\) −1.01155e10 1.75205e10i −0.00993686 0.0172112i
\(467\) 1.82638e11 3.16338e11i 0.177691 0.307769i −0.763399 0.645928i \(-0.776471\pi\)
0.941089 + 0.338159i \(0.109804\pi\)
\(468\) −7.48807e11 + 1.29697e12i −0.721546 + 1.24975i
\(469\) 6.06137e11 0.578486
\(470\) −2.92708e10 + 5.06986e10i −0.0276691 + 0.0479243i
\(471\) −1.71076e12 −1.60175
\(472\) 5.75455e10 0.0533669
\(473\) 1.69872e12 1.12111e12i 1.56044 1.02985i
\(474\) −1.49161e11 −0.135723
\(475\) −2.56090e11 −0.230819
\(476\) −2.66614e11 + 4.61789e11i −0.238041 + 0.412299i
\(477\) −2.71933e11 −0.240507
\(478\) −5.78274e10 + 1.00160e11i −0.0506650 + 0.0877544i
\(479\) 8.30831e11 1.43904e12i 0.721113 1.24900i −0.239442 0.970911i \(-0.576964\pi\)
0.960554 0.278093i \(-0.0897023\pi\)
\(480\) −1.05204e11 1.82219e11i −0.0904581 0.156678i
\(481\) 1.71296e12 1.45914
\(482\) −2.48679e10 4.30725e10i −0.0209859 0.0363487i
\(483\) −8.32813e11 + 1.44247e12i −0.696282 + 1.20600i
\(484\) −2.99374e12 −2.47977
\(485\) −1.91217e11 + 3.31198e11i −0.156924 + 0.271800i
\(486\) 7.00000e10 + 1.21244e11i 0.0569161 + 0.0985816i
\(487\) −5.57638e10 9.65858e10i −0.0449234 0.0778095i 0.842689 0.538400i \(-0.180971\pi\)
−0.887613 + 0.460590i \(0.847638\pi\)
\(488\) 9.40624e10 + 1.62921e11i 0.0750804 + 0.130043i
\(489\) −2.83794e12 −2.24446
\(490\) −3.40765e10 5.90222e10i −0.0267038 0.0462523i
\(491\) 2.77378e10 + 4.80432e10i 0.0215380 + 0.0373048i 0.876593 0.481232i \(-0.159810\pi\)
−0.855056 + 0.518536i \(0.826477\pi\)
\(492\) 8.85053e11 1.53296e12i 0.680967 1.17947i
\(493\) 2.59097e11 4.48769e11i 0.197538 0.342146i
\(494\) −4.61160e10 −0.0348402
\(495\) −1.41737e12 −1.06111
\(496\) 7.84977e10 1.35962e11i 0.0582357 0.100867i
\(497\) −1.65901e12 + 2.87350e12i −1.21968 + 2.11255i
\(498\) −5.60140e10 9.70192e10i −0.0408098 0.0706847i
\(499\) 8.89624e11 + 1.54087e12i 0.642324 + 1.11254i 0.984913 + 0.173052i \(0.0553630\pi\)
−0.342588 + 0.939486i \(0.611304\pi\)
\(500\) 1.26828e12 0.907504
\(501\) 1.68396e12 + 2.91671e12i 1.19416 + 2.06835i
\(502\) −3.37356e10 5.84318e10i −0.0237095 0.0410660i
\(503\) −3.63142e11 6.28981e11i −0.252942 0.438108i 0.711393 0.702795i \(-0.248065\pi\)
−0.964335 + 0.264687i \(0.914732\pi\)
\(504\) 1.84333e11 3.19275e11i 0.127253 0.220408i
\(505\) 1.36593e12 0.934584
\(506\) 7.05971e10 1.22278e11i 0.0478751 0.0829220i
\(507\) −9.11513e11 1.57879e12i −0.612671 1.06118i
\(508\) 2.50072e12 1.66601
\(509\) −7.36645e11 1.27591e12i −0.486439 0.842537i 0.513440 0.858126i \(-0.328371\pi\)
−0.999878 + 0.0155888i \(0.995038\pi\)
\(510\) 1.47980e10 2.56308e10i 0.00968582 0.0167763i
\(511\) 4.82517e11 8.35744e11i 0.313053 0.542224i
\(512\) 6.02802e11 0.387668
\(513\) −2.43476e10 + 4.21712e10i −0.0155213 + 0.0268836i
\(514\) −1.77938e10 −0.0112444
\(515\) 5.26959e11 0.330099
\(516\) 1.37399e11 + 2.29652e12i 0.0853215 + 1.42609i
\(517\) −3.97320e12 −2.44587
\(518\) −2.10171e11 −0.128259
\(519\) −2.17521e11 + 3.76757e11i −0.131597 + 0.227933i
\(520\) 1.91369e11 0.114778
\(521\) −4.76302e11 + 8.24980e11i −0.283213 + 0.490539i −0.972174 0.234259i \(-0.924734\pi\)
0.688961 + 0.724798i \(0.258067\pi\)
\(522\) −8.92839e10 + 1.54644e11i −0.0526327 + 0.0911625i
\(523\) −1.00891e12 1.74748e12i −0.589651 1.02131i −0.994278 0.106823i \(-0.965932\pi\)
0.404627 0.914482i \(-0.367401\pi\)
\(524\) −1.66875e12 −0.966942
\(525\) 1.34975e12 + 2.33784e12i 0.775421 + 1.34307i
\(526\) 7.37299e10 1.27704e11i 0.0419960 0.0727392i
\(527\) 6.69587e10 0.0378146
\(528\) 2.35481e12 4.07866e12i 1.31857 2.28383i
\(529\) 5.27160e11 + 9.13068e11i 0.292679 + 0.506935i
\(530\) 8.65950e9 + 1.49987e10i 0.00476707 + 0.00825681i
\(531\) 3.28977e11 + 5.69805e11i 0.179573 + 0.311029i
\(532\) −8.88853e11 −0.481091
\(533\) 1.20873e12 + 2.09358e12i 0.648718 + 1.12361i
\(534\) 1.02198e11 + 1.77013e11i 0.0543886 + 0.0942039i
\(535\) −5.32742e11 + 9.22735e11i −0.281141 + 0.486951i
\(536\) 5.82645e10 1.00917e11i 0.0304903 0.0528108i
\(537\) 1.17924e12 0.611952
\(538\) −1.62490e11 −0.0836193
\(539\) 2.31276e12 4.00581e12i 1.18027 2.04428i
\(540\) 5.03577e10 8.72221e10i 0.0254855 0.0441422i
\(541\) −1.47438e12 2.55369e12i −0.739981 1.28168i −0.952503 0.304529i \(-0.901501\pi\)
0.212522 0.977156i \(-0.431832\pi\)
\(542\) 3.33477e10 + 5.77599e10i 0.0165985 + 0.0287495i
\(543\) −3.56705e12 −1.76080
\(544\) 7.69655e10 + 1.33308e11i 0.0376792 + 0.0652622i
\(545\) −5.35580e11 9.27651e11i −0.260040 0.450402i
\(546\) 2.43060e11 + 4.20992e11i 0.117043 + 0.202725i
\(547\) −4.31766e11 + 7.47841e11i −0.206208 + 0.357163i −0.950517 0.310673i \(-0.899446\pi\)
0.744309 + 0.667835i \(0.232779\pi\)
\(548\) 2.18813e11 0.103648
\(549\) −1.07547e12 + 1.86278e12i −0.505271 + 0.875156i
\(550\) −1.14418e11 1.98177e11i −0.0533165 0.0923469i
\(551\) 8.63791e11 0.399233
\(552\) 1.60107e11 + 2.77313e11i 0.0733980 + 0.127129i
\(553\) 1.96319e12 3.40035e12i 0.892689 1.54618i
\(554\) 1.61881e11 2.80386e11i 0.0730134 0.126463i
\(555\) −1.83251e12 −0.819836
\(556\) −1.16208e12 + 2.01278e12i −0.515704 + 0.893225i
\(557\) 1.06334e12 0.468084 0.234042 0.972226i \(-0.424805\pi\)
0.234042 + 0.972226i \(0.424805\pi\)
\(558\) −2.30737e10 −0.0100754
\(559\) −2.81001e12 1.40569e12i −1.21718 0.608885i
\(560\) 1.82662e12 0.784879
\(561\) 2.00866e12 0.856198
\(562\) 1.08443e11 1.87828e11i 0.0458550 0.0794232i
\(563\) 5.27778e11 0.221393 0.110696 0.993854i \(-0.464692\pi\)
0.110696 + 0.993854i \(0.464692\pi\)
\(564\) 2.24556e12 3.88942e12i 0.934475 1.61856i
\(565\) −5.88215e11 + 1.01882e12i −0.242839 + 0.420609i
\(566\) 1.53426e11 + 2.65742e11i 0.0628384 + 0.108839i
\(567\) −3.43691e12 −1.39651
\(568\) 3.18943e11 + 5.52425e11i 0.128572 + 0.222693i
\(569\) 1.59383e12 2.76060e12i 0.637438 1.10408i −0.348555 0.937288i \(-0.613328\pi\)
0.985993 0.166787i \(-0.0533392\pi\)
\(570\) 4.93343e10 0.0195755
\(571\) 1.27732e12 2.21238e12i 0.502847 0.870957i −0.497147 0.867666i \(-0.665619\pi\)
0.999995 0.00329067i \(-0.00104745\pi\)
\(572\) 3.23673e12 + 5.60618e12i 1.26423 + 2.18970i
\(573\) 8.35580e11 + 1.44727e12i 0.323812 + 0.560858i
\(574\) −1.48304e11 2.56870e11i −0.0570228 0.0987664i
\(575\) −1.21040e12 −0.461769
\(576\) 1.35630e12 + 2.34918e12i 0.513398 + 0.889231i
\(577\) 8.05202e11 + 1.39465e12i 0.302422 + 0.523811i 0.976684 0.214682i \(-0.0688714\pi\)
−0.674262 + 0.738492i \(0.735538\pi\)
\(578\) 9.58804e10 1.66070e11i 0.0357318 0.0618893i
\(579\) 1.57756e12 2.73241e12i 0.583353 1.01040i
\(580\) −1.78656e12 −0.655530
\(581\) 2.94893e12 1.07367
\(582\) −9.33815e10 + 1.61741e11i −0.0337371 + 0.0584343i
\(583\) −5.87716e11 + 1.01795e12i −0.210697 + 0.364939i
\(584\) −9.27631e10 1.60670e11i −0.0330003 0.0571582i
\(585\) 1.09402e12 + 1.89490e12i 0.386211 + 0.668937i
\(586\) −2.59058e11 −0.0907524
\(587\) −3.71368e11 6.43229e11i −0.129102 0.223611i 0.794227 0.607621i \(-0.207876\pi\)
−0.923329 + 0.384010i \(0.874543\pi\)
\(588\) 2.61423e12 + 4.52798e12i 0.901873 + 1.56209i
\(589\) 5.58077e10 + 9.66617e10i 0.0191062 + 0.0330930i
\(590\) 2.09521e10 3.62901e10i 0.00711858 0.0123297i
\(591\) −5.79662e12 −1.95448
\(592\) 1.57166e12 2.72219e12i 0.525909 0.910901i
\(593\) 1.13036e12 + 1.95784e12i 0.375380 + 0.650177i 0.990384 0.138347i \(-0.0441789\pi\)
−0.615004 + 0.788524i \(0.710846\pi\)
\(594\) −4.35127e10 −0.0143409
\(595\) 3.89528e11 + 6.74683e11i 0.127413 + 0.220685i
\(596\) 9.79973e11 1.69736e12i 0.318131 0.551019i
\(597\) 2.19853e12 3.80796e12i 0.708349 1.22690i
\(598\) −2.17966e11 −0.0697002
\(599\) −7.30510e11 + 1.26528e12i −0.231849 + 0.401574i −0.958352 0.285589i \(-0.907811\pi\)
0.726503 + 0.687163i \(0.241144\pi\)
\(600\) 5.18976e11 0.163481
\(601\) 3.81242e12 1.19197 0.595986 0.802995i \(-0.296761\pi\)
0.595986 + 0.802995i \(0.296761\pi\)
\(602\) 3.44772e11 + 1.72470e11i 0.106991 + 0.0535215i
\(603\) 1.33235e12 0.410384
\(604\) 6.17577e12 1.88810
\(605\) −2.18696e12 + 3.78792e12i −0.663654 + 1.14948i
\(606\) 6.67058e11 0.200926
\(607\) −1.09419e12 + 1.89519e12i −0.327147 + 0.566636i −0.981945 0.189169i \(-0.939421\pi\)
0.654797 + 0.755805i \(0.272754\pi\)
\(608\) −1.28296e11 + 2.22215e11i −0.0380756 + 0.0659489i
\(609\) −4.55271e12 7.88553e12i −1.34120 2.32302i
\(610\) 1.36991e11 0.0400597
\(611\) 3.06678e12 + 5.31182e12i 0.890220 + 1.54191i
\(612\) −5.86044e11 + 1.01506e12i −0.168869 + 0.292489i
\(613\) 4.90449e12 1.40289 0.701443 0.712726i \(-0.252540\pi\)
0.701443 + 0.712726i \(0.252540\pi\)
\(614\) 1.09258e11 1.89240e11i 0.0310238 0.0537348i
\(615\) −1.29308e12 2.23968e12i −0.364491 0.631317i
\(616\) −7.96784e11 1.38007e12i −0.222960 0.386178i
\(617\) −2.09961e12 3.63663e12i −0.583251 1.01022i −0.995091 0.0989641i \(-0.968447\pi\)
0.411840 0.911256i \(-0.364886\pi\)
\(618\) 2.57342e11 0.0709681
\(619\) 1.07326e12 + 1.85895e12i 0.293832 + 0.508932i 0.974712 0.223463i \(-0.0717361\pi\)
−0.680881 + 0.732394i \(0.738403\pi\)
\(620\) −1.15426e11 1.99924e11i −0.0313719 0.0543378i
\(621\) −1.15078e11 + 1.99321e11i −0.0310514 + 0.0537826i
\(622\) −6.74828e8 + 1.16884e9i −0.000180774 + 0.000313110i
\(623\) −5.38036e12 −1.43092
\(624\) −7.27041e12 −1.91968
\(625\) −4.41301e11 + 7.64355e11i −0.115684 + 0.200371i
\(626\) −3.33045e10 + 5.76850e10i −0.00866798 + 0.0150134i
\(627\) 1.67415e12 + 2.89971e12i 0.432603 + 0.749290i
\(628\) −2.15749e12 3.73688e12i −0.553515 0.958717i
\(629\) 1.34063e12 0.341492
\(630\) −1.34230e11 2.32493e11i −0.0339483 0.0588001i
\(631\) −2.50715e12 4.34252e12i −0.629577 1.09046i −0.987637 0.156761i \(-0.949895\pi\)
0.358059 0.933699i \(-0.383439\pi\)
\(632\) −3.77421e11 6.53712e11i −0.0941020 0.162990i
\(633\) −3.07458e12 + 5.32533e12i −0.761148 + 1.31835i
\(634\) −3.15471e11 −0.0775458
\(635\) 1.82680e12 3.16410e12i 0.445870 0.772270i
\(636\) −6.64326e11 1.15065e12i −0.160999 0.278859i
\(637\) −7.14056e12 −1.71832
\(638\) 3.85931e11 + 6.68452e11i 0.0922181 + 0.159727i
\(639\) −3.64667e12 + 6.31623e12i −0.865253 + 1.49866i
\(640\) 3.53422e11 6.12145e11i 0.0832691 0.144226i
\(641\) −2.36643e11 −0.0553647 −0.0276823 0.999617i \(-0.508813\pi\)
−0.0276823 + 0.999617i \(0.508813\pi\)
\(642\) −2.60166e11 + 4.50621e11i −0.0604426 + 0.104690i
\(643\) −4.34700e12 −1.00286 −0.501431 0.865198i \(-0.667193\pi\)
−0.501431 + 0.865198i \(0.667193\pi\)
\(644\) −4.20114e12 −0.962456
\(645\) 3.00611e12 + 1.50378e12i 0.683891 + 0.342111i
\(646\) −3.60921e10 −0.00815390
\(647\) −2.40644e12 −0.539892 −0.269946 0.962876i \(-0.587006\pi\)
−0.269946 + 0.962876i \(0.587006\pi\)
\(648\) −3.30370e11 + 5.72218e11i −0.0736061 + 0.127489i
\(649\) 2.84402e12 0.629261
\(650\) −1.76631e11 + 3.05933e11i −0.0388111 + 0.0672228i
\(651\) 5.88282e11 1.01893e12i 0.128372 0.222347i
\(652\) −3.57901e12 6.19902e12i −0.775619 1.34341i
\(653\) −6.60645e12 −1.42187 −0.710934 0.703259i \(-0.751727\pi\)
−0.710934 + 0.703259i \(0.751727\pi\)
\(654\) −2.61552e11 4.53022e11i −0.0559060 0.0968320i
\(655\) −1.21904e12 + 2.11144e12i −0.258780 + 0.448221i
\(656\) 4.43606e12 0.935256
\(657\) 1.06062e12 1.83705e12i 0.222083 0.384659i
\(658\) −3.76276e11 6.51729e11i −0.0782510 0.135535i
\(659\) 1.87004e12 + 3.23901e12i 0.386249 + 0.669003i 0.991942 0.126696i \(-0.0404373\pi\)
−0.605693 + 0.795699i \(0.707104\pi\)
\(660\) −3.46261e12 5.99741e12i −0.710323 1.23032i
\(661\) 2.66804e12 0.543608 0.271804 0.962353i \(-0.412380\pi\)
0.271804 + 0.962353i \(0.412380\pi\)
\(662\) 2.24741e11 + 3.89264e11i 0.0454802 + 0.0787740i
\(663\) −1.55042e12 2.68541e12i −0.311630 0.539758i
\(664\) 2.83463e11 4.90973e11i 0.0565901 0.0980169i
\(665\) −6.49315e11 + 1.12465e12i −0.128753 + 0.223007i
\(666\) −4.61976e11 −0.0909882
\(667\) 4.08269e12 0.798693
\(668\) −4.24740e12 + 7.35671e12i −0.825332 + 1.42952i
\(669\) 4.07636e12 7.06046e12i 0.786783 1.36275i
\(670\) −4.24277e10 7.34869e10i −0.00813416 0.0140888i
\(671\) 4.64876e12 + 8.05188e12i 0.885290 + 1.53337i
\(672\) 2.70480e12 0.511650
\(673\) −4.43774e11 7.68639e11i −0.0833862 0.144429i 0.821316 0.570473i \(-0.193240\pi\)
−0.904702 + 0.426044i \(0.859907\pi\)
\(674\) −5.46865e10 9.47197e10i −0.0102073 0.0176795i
\(675\) 1.86509e11 + 3.23043e11i 0.0345807 + 0.0598955i
\(676\) 2.29907e12 3.98211e12i 0.423441 0.733421i
\(677\) 4.52082e12 0.827120 0.413560 0.910477i \(-0.364285\pi\)
0.413560 + 0.910477i \(0.364285\pi\)
\(678\) −2.87257e11 + 4.97543e11i −0.0522080 + 0.0904268i
\(679\) −2.45809e12 4.25754e12i −0.443796 0.768678i
\(680\) 1.49772e11 0.0268622
\(681\) 5.42433e12 + 9.39522e12i 0.966461 + 1.67396i
\(682\) −4.98683e10 + 8.63744e10i −0.00882663 + 0.0152882i
\(683\) 1.45894e11 2.52696e11i 0.0256534 0.0444330i −0.852914 0.522052i \(-0.825167\pi\)
0.878567 + 0.477619i \(0.158500\pi\)
\(684\) −1.95379e12 −0.341291
\(685\) 1.59845e11 2.76860e11i 0.0277391 0.0480455i
\(686\) 1.82194e11 0.0314106
\(687\) −6.20281e12 −1.06239
\(688\) −4.81208e12 + 3.17586e12i −0.818814 + 0.540398i
\(689\) 1.81456e12 0.306749
\(690\) 2.33177e11 0.0391620
\(691\) −5.03109e12 + 8.71411e12i −0.839482 + 1.45403i 0.0508468 + 0.998706i \(0.483808\pi\)
−0.890329 + 0.455319i \(0.849525\pi\)
\(692\) −1.09729e12 −0.181904
\(693\) 9.11013e12 1.57792e13i 1.50046 2.59888i
\(694\) 1.25210e11 2.16871e11i 0.0204891 0.0354881i
\(695\) 1.69782e12 + 2.94072e12i 0.276033 + 0.478103i
\(696\) −1.75050e12 −0.282762
\(697\) 9.45994e11 + 1.63851e12i 0.151824 + 0.262967i
\(698\) −1.72552e11 + 2.98868e11i −0.0275150 + 0.0476574i
\(699\) 2.26757e12 0.359263
\(700\) −3.40443e12 + 5.89664e12i −0.535924 + 0.928247i
\(701\) 4.92305e12 + 8.52698e12i 0.770023 + 1.33372i 0.937550 + 0.347851i \(0.113089\pi\)
−0.167527 + 0.985867i \(0.553578\pi\)
\(702\) 3.35861e10 + 5.81728e10i 0.00521966 + 0.00904071i
\(703\) 1.11737e12 + 1.93533e12i 0.172543 + 0.298852i
\(704\) 1.17252e13 1.79906
\(705\) −3.28080e12 5.68251e12i −0.500183 0.866342i
\(706\) −1.76136e11 3.05077e11i −0.0266825 0.0462155i
\(707\) −8.77952e12 + 1.52066e13i −1.32155 + 2.28899i
\(708\) −1.60737e12 + 2.78404e12i −0.240417 + 0.416415i
\(709\) −1.10662e12 −0.164471 −0.0822357 0.996613i \(-0.526206\pi\)
−0.0822357 + 0.996613i \(0.526206\pi\)
\(710\) 4.64503e11 0.0686003
\(711\) 4.31529e12 7.47430e12i 0.633282 1.09688i
\(712\) −5.17182e11 + 8.95786e11i −0.0754195 + 0.130630i
\(713\) 2.63774e11 + 4.56869e11i 0.0382233 + 0.0662048i
\(714\) 1.90228e11 + 3.29484e11i 0.0273925 + 0.0474452i
\(715\) 9.45785e12 1.35337
\(716\) 1.48717e12 + 2.57586e12i 0.211472 + 0.366280i
\(717\) −6.48154e12 1.12264e13i −0.915887 1.58636i
\(718\) −2.95786e11 5.12316e11i −0.0415353 0.0719412i
\(719\) 5.74275e12 9.94674e12i 0.801383 1.38804i −0.117323 0.993094i \(-0.537431\pi\)
0.918706 0.394943i \(-0.129236\pi\)
\(720\) 4.01509e12 0.556800
\(721\) −3.38702e12 + 5.86650e12i −0.466777 + 0.808482i
\(722\) 2.60276e11 + 4.50811e11i 0.0356464 + 0.0617414i
\(723\) 5.57461e12 0.758738
\(724\) −4.49851e12 7.79165e12i −0.608478 1.05392i
\(725\) 3.30844e12 5.73039e12i 0.444736 0.770305i
\(726\) −1.06801e12 + 1.84985e12i −0.142679 + 0.247127i
\(727\) −3.07771e12 −0.408624 −0.204312 0.978906i \(-0.565496\pi\)
−0.204312 + 0.978906i \(0.565496\pi\)
\(728\) −1.23002e12 + 2.13046e12i −0.162301 + 0.281114i
\(729\) −8.61204e12 −1.12936
\(730\) −1.35099e11 −0.0176075
\(731\) −2.19922e12 1.10014e12i −0.284866 0.142502i
\(732\) −1.05095e13 −1.35295
\(733\) −5.64679e12 −0.722493 −0.361247 0.932470i \(-0.617649\pi\)
−0.361247 + 0.932470i \(0.617649\pi\)
\(734\) 5.36989e11 9.30091e11i 0.0682862 0.118275i
\(735\) 7.63887e12 0.965465
\(736\) −6.06388e11 + 1.05029e12i −0.0761729 + 0.131935i
\(737\) 2.87955e12 4.98752e12i 0.359518 0.622703i
\(738\) −3.25986e11 5.64625e11i −0.0404525 0.0700658i
\(739\) −4.50869e12 −0.556096 −0.278048 0.960567i \(-0.589688\pi\)
−0.278048 + 0.960567i \(0.589688\pi\)
\(740\) −2.31103e12 4.00282e12i −0.283310 0.490708i
\(741\) 2.58444e12 4.47638e12i 0.314908 0.545437i
\(742\) −2.22635e11 −0.0269635
\(743\) 1.96229e12 3.39878e12i 0.236218 0.409142i −0.723408 0.690421i \(-0.757425\pi\)
0.959626 + 0.281279i \(0.0907587\pi\)
\(744\) −1.13096e11 1.95888e11i −0.0135323 0.0234385i
\(745\) −1.43176e12 2.47988e12i −0.170281 0.294936i
\(746\) −3.18367e11 5.51427e11i −0.0376359 0.0651874i
\(747\) 6.48203e12 0.761673
\(748\) 2.53318e12 + 4.38760e12i 0.295876 + 0.512472i
\(749\) −6.84838e12 1.18617e13i −0.795096 1.37715i
\(750\) 4.52453e11 7.83672e11i 0.0522153 0.0904396i
\(751\) 3.56008e12 6.16624e12i 0.408395 0.707360i −0.586315 0.810083i \(-0.699422\pi\)
0.994710 + 0.102722i \(0.0327554\pi\)
\(752\) 1.12552e13 1.28343
\(753\) 7.56246e12 0.857207
\(754\) 5.95775e11 1.03191e12i 0.0671291 0.116271i
\(755\) 4.51146e12 7.81407e12i 0.505307 0.875218i
\(756\) 6.47347e11 + 1.12124e12i 0.0720757 + 0.124839i
\(757\) −1.97227e12 3.41607e12i −0.218290 0.378090i 0.735995 0.676987i \(-0.236715\pi\)
−0.954285 + 0.298897i \(0.903381\pi\)
\(758\) −1.25658e11 −0.0138254
\(759\) 7.91281e12 + 1.37054e13i 0.865452 + 1.49901i
\(760\) 1.24830e11 + 2.16212e11i 0.0135724 + 0.0235081i
\(761\) 5.62495e12 + 9.74270e12i 0.607978 + 1.05305i 0.991573 + 0.129547i \(0.0413523\pi\)
−0.383596 + 0.923501i \(0.625314\pi\)
\(762\) 8.92122e11 1.54520e12i 0.0958577 0.166030i
\(763\) 1.37697e13