Properties

Label 43.10.c.a.6.7
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 6.7
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.7

$q$-expansion

\(f(q)\) \(=\) \(q-30.5461 q^{2} +(46.1090 - 79.8632i) q^{3} +421.064 q^{4} +(286.168 - 495.658i) q^{5} +(-1408.45 + 2439.51i) q^{6} +(319.069 + 552.644i) q^{7} +2777.74 q^{8} +(5589.41 + 9681.15i) q^{9} +O(q^{10})\) \(q-30.5461 q^{2} +(46.1090 - 79.8632i) q^{3} +421.064 q^{4} +(286.168 - 495.658i) q^{5} +(-1408.45 + 2439.51i) q^{6} +(319.069 + 552.644i) q^{7} +2777.74 q^{8} +(5589.41 + 9681.15i) q^{9} +(-8741.33 + 15140.4i) q^{10} -50651.5 q^{11} +(19414.9 - 33627.5i) q^{12} +(20548.3 + 35590.7i) q^{13} +(-9746.32 - 16881.1i) q^{14} +(-26389.9 - 45708.7i) q^{15} -300434. q^{16} +(-250127. - 433233. i) q^{17} +(-170735. - 295721. i) q^{18} +(-5441.33 + 9424.65i) q^{19} +(120495. - 208704. i) q^{20} +58847.9 q^{21} +1.54721e6 q^{22} +(-992007. + 1.71821e6i) q^{23} +(128079. - 221839. i) q^{24} +(812778. + 1.40777e6i) q^{25} +(-627670. - 1.08716e6i) q^{26} +2.84602e6 q^{27} +(134349. + 232698. i) q^{28} +(2.72855e6 + 4.72599e6i) q^{29} +(806108. + 1.39622e6i) q^{30} +(2.35401e6 - 4.07727e6i) q^{31} +7.75488e6 q^{32} +(-2.33549e6 + 4.04519e6i) q^{33} +(7.64041e6 + 1.32336e7i) q^{34} +365230. q^{35} +(2.35350e6 + 4.07638e6i) q^{36} +(-6.16797e6 + 1.06832e7i) q^{37} +(166211. - 287886. i) q^{38} +3.78985e6 q^{39} +(794901. - 1.37681e6i) q^{40} +2.38216e7 q^{41} -1.79757e6 q^{42} +(-3.06703e6 + 2.22078e7i) q^{43} -2.13275e7 q^{44} +6.39805e6 q^{45} +(3.03020e7 - 5.24845e7i) q^{46} +2.78757e6 q^{47} +(-1.38527e7 + 2.39936e7i) q^{48} +(1.99732e7 - 3.45946e7i) q^{49} +(-2.48272e7 - 4.30020e7i) q^{50} -4.61325e7 q^{51} +(8.65214e6 + 1.49860e7i) q^{52} +(1.50558e7 - 2.60774e7i) q^{53} -8.69348e7 q^{54} +(-1.44949e7 + 2.51058e7i) q^{55} +(886291. + 1.53510e6i) q^{56} +(501789. + 869124. i) q^{57} +(-8.33466e7 - 1.44361e8i) q^{58} +1.06329e7 q^{59} +(-1.11118e7 - 1.92463e7i) q^{60} +(6.27945e7 + 1.08763e8i) q^{61} +(-7.19058e7 + 1.24545e8i) q^{62} +(-3.56682e6 + 6.17791e6i) q^{63} -8.30591e7 q^{64} +2.35211e7 q^{65} +(7.13402e7 - 1.23565e8i) q^{66} +(-1.86972e7 + 3.23845e7i) q^{67} +(-1.05320e8 - 1.82419e8i) q^{68} +(9.14810e7 + 1.58450e8i) q^{69} -1.11564e7 q^{70} +(-6.97508e7 - 1.20812e8i) q^{71} +(1.55259e7 + 2.68917e7i) q^{72} +(1.12564e8 + 1.94967e8i) q^{73} +(1.88408e8 - 3.26331e8i) q^{74} +1.49906e8 q^{75} +(-2.29115e6 + 3.96838e6i) q^{76} +(-1.61613e7 - 2.79923e7i) q^{77} -1.15765e8 q^{78} +(2.61884e8 + 4.53596e8i) q^{79} +(-8.59747e7 + 1.48913e8i) q^{80} +(2.12108e7 - 3.67381e7i) q^{81} -7.27657e8 q^{82} +(1.64704e8 - 2.85275e8i) q^{83} +2.47787e7 q^{84} -2.86314e8 q^{85} +(9.36859e7 - 6.78361e8i) q^{86} +5.03244e8 q^{87} -1.40697e8 q^{88} +(-2.96909e7 + 5.14262e7i) q^{89} -1.95436e8 q^{90} +(-1.31126e7 + 2.27118e7i) q^{91} +(-4.17699e8 + 7.23475e8i) q^{92} +(-2.17082e8 - 3.75998e8i) q^{93} -8.51495e7 q^{94} +(3.11427e6 + 5.39408e6i) q^{95} +(3.57570e8 - 6.19329e8i) q^{96} +7.07290e8 q^{97} +(-6.10103e8 + 1.05673e9i) q^{98} +(-2.83112e8 - 4.90365e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −30.5461 −1.34996 −0.674980 0.737836i \(-0.735848\pi\)
−0.674980 + 0.737836i \(0.735848\pi\)
\(3\) 46.1090 79.8632i 0.328655 0.569247i −0.653590 0.756849i \(-0.726738\pi\)
0.982245 + 0.187601i \(0.0600713\pi\)
\(4\) 421.064 0.822391
\(5\) 286.168 495.658i 0.204765 0.354664i −0.745293 0.666738i \(-0.767690\pi\)
0.950058 + 0.312073i \(0.101024\pi\)
\(6\) −1408.45 + 2439.51i −0.443671 + 0.768461i
\(7\) 319.069 + 552.644i 0.0502277 + 0.0869970i 0.890046 0.455870i \(-0.150672\pi\)
−0.839818 + 0.542867i \(0.817339\pi\)
\(8\) 2777.74 0.239765
\(9\) 5589.41 + 9681.15i 0.283972 + 0.491853i
\(10\) −8741.33 + 15140.4i −0.276425 + 0.478782i
\(11\) −50651.5 −1.04310 −0.521549 0.853221i \(-0.674646\pi\)
−0.521549 + 0.853221i \(0.674646\pi\)
\(12\) 19414.9 33627.5i 0.270283 0.468144i
\(13\) 20548.3 + 35590.7i 0.199540 + 0.345614i 0.948379 0.317138i \(-0.102722\pi\)
−0.748839 + 0.662752i \(0.769388\pi\)
\(14\) −9746.32 16881.1i −0.0678054 0.117442i
\(15\) −26389.9 45708.7i −0.134594 0.233124i
\(16\) −300434. −1.14606
\(17\) −250127. 433233.i −0.726341 1.25806i −0.958420 0.285363i \(-0.907886\pi\)
0.232078 0.972697i \(-0.425447\pi\)
\(18\) −170735. 295721.i −0.383350 0.663982i
\(19\) −5441.33 + 9424.65i −0.00957886 + 0.0165911i −0.870775 0.491682i \(-0.836382\pi\)
0.861196 + 0.508273i \(0.169716\pi\)
\(20\) 120495. 208704.i 0.168397 0.291672i
\(21\) 58847.9 0.0660304
\(22\) 1.54721e6 1.40814
\(23\) −992007. + 1.71821e6i −0.739162 + 1.28027i 0.213711 + 0.976897i \(0.431445\pi\)
−0.952873 + 0.303369i \(0.901888\pi\)
\(24\) 128079. 221839.i 0.0788002 0.136486i
\(25\) 812778. + 1.40777e6i 0.416142 + 0.720779i
\(26\) −627670. 1.08716e6i −0.269371 0.466565i
\(27\) 2.84602e6 1.03063
\(28\) 134349. + 232698.i 0.0413068 + 0.0715455i
\(29\) 2.72855e6 + 4.72599e6i 0.716376 + 1.24080i 0.962426 + 0.271543i \(0.0875340\pi\)
−0.246050 + 0.969257i \(0.579133\pi\)
\(30\) 806108. + 1.39622e6i 0.181697 + 0.314709i
\(31\) 2.35401e6 4.07727e6i 0.457805 0.792942i −0.541039 0.840997i \(-0.681969\pi\)
0.998845 + 0.0480552i \(0.0153023\pi\)
\(32\) 7.75488e6 1.30737
\(33\) −2.33549e6 + 4.04519e6i −0.342820 + 0.593781i
\(34\) 7.64041e6 + 1.32336e7i 0.980531 + 1.69833i
\(35\) 365230. 0.0411396
\(36\) 2.35350e6 + 4.07638e6i 0.233536 + 0.404495i
\(37\) −6.16797e6 + 1.06832e7i −0.541047 + 0.937120i 0.457798 + 0.889056i \(0.348638\pi\)
−0.998844 + 0.0480640i \(0.984695\pi\)
\(38\) 166211. 287886.i 0.0129311 0.0223973i
\(39\) 3.78985e6 0.262320
\(40\) 794901. 1.37681e6i 0.0490957 0.0850362i
\(41\) 2.38216e7 1.31657 0.658285 0.752769i \(-0.271282\pi\)
0.658285 + 0.752769i \(0.271282\pi\)
\(42\) −1.79757e6 −0.0891384
\(43\) −3.06703e6 + 2.22078e7i −0.136808 + 0.990598i
\(44\) −2.13275e7 −0.857835
\(45\) 6.39805e6 0.232590
\(46\) 3.03020e7 5.24845e7i 0.997839 1.72831i
\(47\) 2.78757e6 0.0833271 0.0416635 0.999132i \(-0.486734\pi\)
0.0416635 + 0.999132i \(0.486734\pi\)
\(48\) −1.38527e7 + 2.39936e7i −0.376660 + 0.652394i
\(49\) 1.99732e7 3.45946e7i 0.494954 0.857286i
\(50\) −2.48272e7 4.30020e7i −0.561775 0.973023i
\(51\) −4.61325e7 −0.954863
\(52\) 8.65214e6 + 1.49860e7i 0.164100 + 0.284230i
\(53\) 1.50558e7 2.60774e7i 0.262097 0.453966i −0.704702 0.709504i \(-0.748919\pi\)
0.966799 + 0.255538i \(0.0822525\pi\)
\(54\) −8.69348e7 −1.39130
\(55\) −1.44949e7 + 2.51058e7i −0.213591 + 0.369950i
\(56\) 886291. + 1.53510e6i 0.0120429 + 0.0208589i
\(57\) 501789. + 869124.i 0.00629628 + 0.0109055i
\(58\) −8.33466e7 1.44361e8i −0.967079 1.67503i
\(59\) 1.06329e7 0.114240 0.0571199 0.998367i \(-0.481808\pi\)
0.0571199 + 0.998367i \(0.481808\pi\)
\(60\) −1.11118e7 1.92463e7i −0.110689 0.191719i
\(61\) 6.27945e7 + 1.08763e8i 0.580680 + 1.00577i 0.995399 + 0.0958182i \(0.0305467\pi\)
−0.414718 + 0.909950i \(0.636120\pi\)
\(62\) −7.19058e7 + 1.24545e8i −0.618019 + 1.07044i
\(63\) −3.56682e6 + 6.17791e6i −0.0285265 + 0.0494093i
\(64\) −8.30591e7 −0.618839
\(65\) 2.35211e7 0.163436
\(66\) 7.13402e7 1.23565e8i 0.462793 0.801581i
\(67\) −1.86972e7 + 3.23845e7i −0.113355 + 0.196336i −0.917121 0.398609i \(-0.869493\pi\)
0.803766 + 0.594945i \(0.202826\pi\)
\(68\) −1.05320e8 1.82419e8i −0.597336 1.03462i
\(69\) 9.14810e7 + 1.58450e8i 0.485859 + 0.841532i
\(70\) −1.11564e7 −0.0555368
\(71\) −6.97508e7 1.20812e8i −0.325751 0.564218i 0.655913 0.754837i \(-0.272284\pi\)
−0.981664 + 0.190619i \(0.938951\pi\)
\(72\) 1.55259e7 + 2.68917e7i 0.0680866 + 0.117929i
\(73\) 1.12564e8 + 1.94967e8i 0.463926 + 0.803543i 0.999152 0.0411658i \(-0.0131072\pi\)
−0.535227 + 0.844708i \(0.679774\pi\)
\(74\) 1.88408e8 3.26331e8i 0.730391 1.26507i
\(75\) 1.49906e8 0.547069
\(76\) −2.29115e6 + 3.96838e6i −0.00787756 + 0.0136443i
\(77\) −1.61613e7 2.79923e7i −0.0523925 0.0907464i
\(78\) −1.15765e8 −0.354121
\(79\) 2.61884e8 + 4.53596e8i 0.756461 + 1.31023i 0.944645 + 0.328095i \(0.106407\pi\)
−0.188183 + 0.982134i \(0.560260\pi\)
\(80\) −8.59747e7 + 1.48913e8i −0.234674 + 0.406468i
\(81\) 2.12108e7 3.67381e7i 0.0547487 0.0948275i
\(82\) −7.27657e8 −1.77732
\(83\) 1.64704e8 2.85275e8i 0.380936 0.659800i −0.610261 0.792201i \(-0.708935\pi\)
0.991196 + 0.132401i \(0.0422686\pi\)
\(84\) 2.47787e7 0.0543028
\(85\) −2.86314e8 −0.594918
\(86\) 9.36859e7 6.78361e8i 0.184685 1.33727i
\(87\) 5.03244e8 0.941763
\(88\) −1.40697e8 −0.250099
\(89\) −2.96909e7 + 5.14262e7i −0.0501613 + 0.0868819i −0.890016 0.455930i \(-0.849307\pi\)
0.839855 + 0.542812i \(0.182640\pi\)
\(90\) −1.95436e8 −0.313987
\(91\) −1.31126e7 + 2.27118e7i −0.0200449 + 0.0347188i
\(92\) −4.17699e8 + 7.23475e8i −0.607880 + 1.05288i
\(93\) −2.17082e8 3.75998e8i −0.300920 0.521209i
\(94\) −8.51495e7 −0.112488
\(95\) 3.11427e6 + 5.39408e6i 0.00392284 + 0.00679455i
\(96\) 3.57570e8 6.19329e8i 0.429675 0.744220i
\(97\) 7.07290e8 0.811194 0.405597 0.914052i \(-0.367064\pi\)
0.405597 + 0.914052i \(0.367064\pi\)
\(98\) −6.10103e8 + 1.05673e9i −0.668168 + 1.15730i
\(99\) −2.83112e8 4.90365e8i −0.296210 0.513051i
\(100\) 3.42231e8 + 5.92762e8i 0.342231 + 0.592762i
\(101\) −4.70407e8 8.14769e8i −0.449808 0.779091i 0.548565 0.836108i \(-0.315174\pi\)
−0.998373 + 0.0570172i \(0.981841\pi\)
\(102\) 1.40917e9 1.28903
\(103\) 5.67113e8 + 9.82268e8i 0.496480 + 0.859929i 0.999992 0.00405982i \(-0.00129228\pi\)
−0.503512 + 0.863988i \(0.667959\pi\)
\(104\) 5.70778e7 + 9.88616e7i 0.0478429 + 0.0828663i
\(105\) 1.68404e7 2.91684e7i 0.0135207 0.0234186i
\(106\) −4.59896e8 + 7.96563e8i −0.353821 + 0.612836i
\(107\) 4.41182e8 0.325380 0.162690 0.986677i \(-0.447983\pi\)
0.162690 + 0.986677i \(0.447983\pi\)
\(108\) 1.19836e9 0.847576
\(109\) −8.98069e8 + 1.55550e9i −0.609383 + 1.05548i 0.381959 + 0.924179i \(0.375250\pi\)
−0.991342 + 0.131304i \(0.958084\pi\)
\(110\) 4.42762e8 7.66885e8i 0.288339 0.499417i
\(111\) 5.68799e8 + 9.85188e8i 0.355636 + 0.615979i
\(112\) −9.58592e7 1.66033e8i −0.0575642 0.0997041i
\(113\) 1.32706e9 0.765663 0.382831 0.923818i \(-0.374949\pi\)
0.382831 + 0.923818i \(0.374949\pi\)
\(114\) −1.53277e7 2.65483e7i −0.00849972 0.0147220i
\(115\) 5.67762e8 + 9.83393e8i 0.302710 + 0.524309i
\(116\) 1.14890e9 + 1.98994e9i 0.589141 + 1.02042i
\(117\) −2.29706e8 + 3.97862e8i −0.113328 + 0.196289i
\(118\) −3.24794e8 −0.154219
\(119\) 1.59616e8 2.76462e8i 0.0729649 0.126379i
\(120\) −7.33043e7 1.26967e8i −0.0322711 0.0558952i
\(121\) 2.07629e8 0.0880548
\(122\) −1.91813e9 3.32229e9i −0.783895 1.35775i
\(123\) 1.09839e9 1.90247e9i 0.432697 0.749454i
\(124\) 9.91189e8 1.71679e9i 0.376495 0.652108i
\(125\) 2.04821e9 0.750377
\(126\) 1.08952e8 1.88711e8i 0.0385096 0.0667006i
\(127\) −5.16610e9 −1.76216 −0.881081 0.472965i \(-0.843184\pi\)
−0.881081 + 0.472965i \(0.843184\pi\)
\(128\) −1.43337e9 −0.471968
\(129\) 1.63217e9 + 1.26892e9i 0.518933 + 0.403442i
\(130\) −7.18477e8 −0.220632
\(131\) 2.82499e9 0.838101 0.419050 0.907963i \(-0.362363\pi\)
0.419050 + 0.907963i \(0.362363\pi\)
\(132\) −9.83392e8 + 1.70328e9i −0.281932 + 0.488320i
\(133\) −6.94464e6 −0.00192450
\(134\) 5.71127e8 9.89220e8i 0.153024 0.265046i
\(135\) 8.14441e8 1.41065e9i 0.211036 0.365526i
\(136\) −6.94788e8 1.20341e9i −0.174152 0.301639i
\(137\) −4.93211e9 −1.19616 −0.598081 0.801436i \(-0.704070\pi\)
−0.598081 + 0.801436i \(0.704070\pi\)
\(138\) −2.79439e9 4.84002e9i −0.655890 1.13603i
\(139\) −3.99104e9 + 6.91268e9i −0.906816 + 1.57065i −0.0883553 + 0.996089i \(0.528161\pi\)
−0.818461 + 0.574562i \(0.805172\pi\)
\(140\) 1.53785e8 0.0338328
\(141\) 1.28532e8 2.22625e8i 0.0273859 0.0474337i
\(142\) 2.13061e9 + 3.69033e9i 0.439751 + 0.761671i
\(143\) −1.04080e9 1.80272e9i −0.208140 0.360509i
\(144\) −1.67925e9 2.90854e9i −0.325450 0.563695i
\(145\) 3.12330e9 0.586757
\(146\) −3.43840e9 5.95549e9i −0.626281 1.08475i
\(147\) −1.84189e9 3.19025e9i −0.325339 0.563503i
\(148\) −2.59711e9 + 4.49833e9i −0.444952 + 0.770679i
\(149\) −1.53735e9 + 2.66276e9i −0.255525 + 0.442582i −0.965038 0.262110i \(-0.915582\pi\)
0.709513 + 0.704692i \(0.248915\pi\)
\(150\) −4.57903e9 −0.738521
\(151\) −6.75697e8 −0.105768 −0.0528842 0.998601i \(-0.516841\pi\)
−0.0528842 + 0.998601i \(0.516841\pi\)
\(152\) −1.51146e7 + 2.61792e7i −0.00229668 + 0.00397796i
\(153\) 2.79613e9 4.84304e9i 0.412521 0.714507i
\(154\) 4.93666e8 + 8.55054e8i 0.0707277 + 0.122504i
\(155\) −1.34729e9 2.33357e9i −0.187485 0.324734i
\(156\) 1.59577e9 0.215729
\(157\) −2.37726e9 4.11753e9i −0.312268 0.540864i 0.666585 0.745429i \(-0.267755\pi\)
−0.978853 + 0.204565i \(0.934422\pi\)
\(158\) −7.99953e9 1.38556e10i −1.02119 1.76876i
\(159\) −1.38842e9 2.40481e9i −0.172279 0.298396i
\(160\) 2.21920e9 3.84377e9i 0.267705 0.463679i
\(161\) −1.26608e9 −0.148506
\(162\) −6.47906e8 + 1.12221e9i −0.0739085 + 0.128013i
\(163\) 4.25689e9 + 7.37315e9i 0.472333 + 0.818104i 0.999499 0.0316579i \(-0.0100787\pi\)
−0.527166 + 0.849762i \(0.676745\pi\)
\(164\) 1.00304e10 1.08273
\(165\) 1.33669e9 + 2.31521e9i 0.140395 + 0.243172i
\(166\) −5.03105e9 + 8.71404e9i −0.514248 + 0.890703i
\(167\) −1.20217e9 + 2.08222e9i −0.119603 + 0.207158i −0.919610 0.392832i \(-0.871495\pi\)
0.800008 + 0.599990i \(0.204829\pi\)
\(168\) 1.63464e8 0.0158318
\(169\) 4.45779e9 7.72111e9i 0.420367 0.728098i
\(170\) 8.74577e9 0.803116
\(171\) −1.21655e8 −0.0108805
\(172\) −1.29142e9 + 9.35090e9i −0.112509 + 0.814658i
\(173\) 6.55712e9 0.556552 0.278276 0.960501i \(-0.410237\pi\)
0.278276 + 0.960501i \(0.410237\pi\)
\(174\) −1.53721e10 −1.27134
\(175\) −5.18665e8 + 8.98353e8i −0.0418038 + 0.0724062i
\(176\) 1.52174e10 1.19546
\(177\) 4.90273e8 8.49177e8i 0.0375455 0.0650307i
\(178\) 9.06942e8 1.57087e9i 0.0677157 0.117287i
\(179\) 1.13157e10 + 1.95993e10i 0.823836 + 1.42693i 0.902806 + 0.430049i \(0.141504\pi\)
−0.0789693 + 0.996877i \(0.525163\pi\)
\(180\) 2.69399e9 0.191280
\(181\) 9.59317e9 + 1.66159e10i 0.664368 + 1.15072i 0.979456 + 0.201657i \(0.0646325\pi\)
−0.315088 + 0.949062i \(0.602034\pi\)
\(182\) 4.00540e8 6.93756e8i 0.0270598 0.0468690i
\(183\) 1.15816e10 0.763374
\(184\) −2.75554e9 + 4.77273e9i −0.177226 + 0.306964i
\(185\) 3.53016e9 + 6.11441e9i 0.221575 + 0.383780i
\(186\) 6.63102e9 + 1.14853e10i 0.406230 + 0.703611i
\(187\) 1.26693e10 + 2.19439e10i 0.757646 + 1.31228i
\(188\) 1.17375e9 0.0685274
\(189\) 9.08076e8 + 1.57283e9i 0.0517660 + 0.0896613i
\(190\) −9.51288e7 1.64768e8i −0.00529567 0.00917237i
\(191\) 7.26309e9 1.25800e10i 0.394886 0.683962i −0.598201 0.801346i \(-0.704118\pi\)
0.993087 + 0.117384i \(0.0374509\pi\)
\(192\) −3.82978e9 + 6.63337e9i −0.203385 + 0.352272i
\(193\) 9.03505e9 0.468730 0.234365 0.972149i \(-0.424699\pi\)
0.234365 + 0.972149i \(0.424699\pi\)
\(194\) −2.16049e10 −1.09508
\(195\) 1.08453e9 1.87847e9i 0.0537140 0.0930354i
\(196\) 8.40999e9 1.45665e10i 0.407046 0.705024i
\(197\) −1.74993e10 3.03096e10i −0.827793 1.43378i −0.899766 0.436373i \(-0.856263\pi\)
0.0719724 0.997407i \(-0.477071\pi\)
\(198\) 8.64797e9 + 1.49787e10i 0.399872 + 0.692599i
\(199\) 2.87321e8 0.0129876 0.00649380 0.999979i \(-0.497933\pi\)
0.00649380 + 0.999979i \(0.497933\pi\)
\(200\) 2.25769e9 + 3.91043e9i 0.0997765 + 0.172818i
\(201\) 1.72422e9 + 2.98644e9i 0.0745093 + 0.129054i
\(202\) 1.43691e10 + 2.48880e10i 0.607223 + 1.05174i
\(203\) −1.74119e9 + 3.01584e9i −0.0719639 + 0.124645i
\(204\) −1.94247e10 −0.785271
\(205\) 6.81699e9 1.18074e10i 0.269588 0.466940i
\(206\) −1.73231e10 3.00044e10i −0.670228 1.16087i
\(207\) −2.21790e10 −0.839604
\(208\) −6.17340e9 1.06926e10i −0.228686 0.396096i
\(209\) 2.75611e8 4.77373e8i 0.00999169 0.0173061i
\(210\) −5.14409e8 + 8.90982e8i −0.0182525 + 0.0316142i
\(211\) −3.61006e10 −1.25385 −0.626923 0.779082i \(-0.715686\pi\)
−0.626923 + 0.779082i \(0.715686\pi\)
\(212\) 6.33946e9 1.09803e10i 0.215546 0.373337i
\(213\) −1.28646e10 −0.428240
\(214\) −1.34764e10 −0.439250
\(215\) 1.01298e10 + 7.87537e9i 0.323316 + 0.251361i
\(216\) 7.90550e9 0.247108
\(217\) 3.00437e9 0.0919781
\(218\) 2.74325e10 4.75145e10i 0.822643 1.42486i
\(219\) 2.07609e10 0.609886
\(220\) −6.10327e9 + 1.05712e10i −0.175655 + 0.304243i
\(221\) 1.02794e10 1.78044e10i 0.289869 0.502067i
\(222\) −1.73746e10 3.00937e10i −0.480094 0.831547i
\(223\) −3.81034e10 −1.03179 −0.515895 0.856652i \(-0.672541\pi\)
−0.515895 + 0.856652i \(0.672541\pi\)
\(224\) 2.47434e9 + 4.28569e9i 0.0656665 + 0.113738i
\(225\) −9.08590e9 + 1.57372e10i −0.236345 + 0.409362i
\(226\) −4.05365e10 −1.03361
\(227\) 8.55103e9 1.48108e10i 0.213748 0.370223i −0.739136 0.673556i \(-0.764766\pi\)
0.952885 + 0.303333i \(0.0980995\pi\)
\(228\) 2.11285e8 + 3.65957e8i 0.00517800 + 0.00896856i
\(229\) 5.63691e9 + 9.76342e9i 0.135451 + 0.234608i 0.925770 0.378088i \(-0.123418\pi\)
−0.790319 + 0.612696i \(0.790085\pi\)
\(230\) −1.73429e10 3.00388e10i −0.408646 0.707795i
\(231\) −2.98073e9 −0.0688762
\(232\) 7.57921e9 + 1.31276e10i 0.171762 + 0.297501i
\(233\) −1.89544e10 3.28299e10i −0.421315 0.729740i 0.574753 0.818327i \(-0.305098\pi\)
−0.996068 + 0.0885872i \(0.971765\pi\)
\(234\) 7.01661e9 1.21531e10i 0.152988 0.264982i
\(235\) 7.97716e8 1.38168e9i 0.0170625 0.0295531i
\(236\) 4.47713e9 0.0939498
\(237\) 4.83008e10 0.994460
\(238\) −4.87564e9 + 8.44485e9i −0.0984997 + 0.170607i
\(239\) −1.80747e10 + 3.13063e10i −0.358328 + 0.620642i −0.987682 0.156477i \(-0.949986\pi\)
0.629354 + 0.777119i \(0.283320\pi\)
\(240\) 7.92842e9 + 1.37324e10i 0.154254 + 0.267176i
\(241\) 2.76976e10 + 4.79736e10i 0.528889 + 0.916063i 0.999432 + 0.0336861i \(0.0107246\pi\)
−0.470543 + 0.882377i \(0.655942\pi\)
\(242\) −6.34224e9 −0.118870
\(243\) 2.60531e10 + 4.51252e10i 0.479326 + 0.830216i
\(244\) 2.64405e10 + 4.57963e10i 0.477546 + 0.827134i
\(245\) −1.14314e10 1.97998e10i −0.202699 0.351085i
\(246\) −3.35516e10 + 5.81130e10i −0.584124 + 1.01173i
\(247\) −4.47240e8 −0.00764547
\(248\) 6.53883e9 1.13256e10i 0.109766 0.190120i
\(249\) −1.51886e10 2.63075e10i −0.250393 0.433693i
\(250\) −6.25648e10 −1.01298
\(251\) −1.89210e10 3.27722e10i −0.300894 0.521164i 0.675445 0.737411i \(-0.263952\pi\)
−0.976339 + 0.216247i \(0.930618\pi\)
\(252\) −1.50186e9 + 2.60130e9i −0.0234599 + 0.0406338i
\(253\) 5.02467e10 8.70298e10i 0.771019 1.33544i
\(254\) 1.57804e11 2.37885
\(255\) −1.32017e10 + 2.28660e10i −0.195523 + 0.338656i
\(256\) 8.63100e10 1.25598
\(257\) −1.38616e11 −1.98205 −0.991025 0.133676i \(-0.957322\pi\)
−0.991025 + 0.133676i \(0.957322\pi\)
\(258\) −4.98563e10 3.87606e10i −0.700538 0.544631i
\(259\) −7.87204e9 −0.108702
\(260\) 9.90388e9 0.134408
\(261\) −3.05020e10 + 5.28310e10i −0.406861 + 0.704704i
\(262\) −8.62925e10 −1.13140
\(263\) 1.29052e10 2.23525e10i 0.166328 0.288088i −0.770798 0.637079i \(-0.780142\pi\)
0.937126 + 0.348991i \(0.113476\pi\)
\(264\) −6.48739e9 + 1.12365e10i −0.0821963 + 0.142368i
\(265\) −8.61699e9 1.49251e10i −0.107337 0.185913i
\(266\) 2.12132e8 0.00259799
\(267\) 2.73804e9 + 4.74242e9i 0.0329715 + 0.0571084i
\(268\) −7.87272e9 + 1.36359e10i −0.0932219 + 0.161465i
\(269\) −2.04178e10 −0.237752 −0.118876 0.992909i \(-0.537929\pi\)
−0.118876 + 0.992909i \(0.537929\pi\)
\(270\) −2.48780e10 + 4.30899e10i −0.284891 + 0.493445i
\(271\) −6.63850e10 1.14982e11i −0.747667 1.29500i −0.948938 0.315462i \(-0.897840\pi\)
0.201271 0.979536i \(-0.435493\pi\)
\(272\) 7.51467e10 + 1.30158e11i 0.832434 + 1.44182i
\(273\) 1.20922e9 + 2.09444e9i 0.0131757 + 0.0228210i
\(274\) 1.50657e11 1.61477
\(275\) −4.11684e10 7.13058e10i −0.434077 0.751844i
\(276\) 3.85194e10 + 6.67175e10i 0.399566 + 0.692068i
\(277\) −9.07062e9 + 1.57108e10i −0.0925716 + 0.160339i −0.908593 0.417684i \(-0.862842\pi\)
0.816021 + 0.578022i \(0.196175\pi\)
\(278\) 1.21911e11 2.11155e11i 1.22416 2.12032i
\(279\) 5.26302e10 0.520015
\(280\) 1.01451e9 0.00986386
\(281\) −3.71253e10 + 6.43030e10i −0.355216 + 0.615252i −0.987155 0.159766i \(-0.948926\pi\)
0.631939 + 0.775018i \(0.282259\pi\)
\(282\) −3.92616e9 + 6.80031e9i −0.0369698 + 0.0640336i
\(283\) −8.86902e10 1.53616e11i −0.821933 1.42363i −0.904241 0.427023i \(-0.859562\pi\)
0.0823071 0.996607i \(-0.473771\pi\)
\(284\) −2.93695e10 5.08695e10i −0.267895 0.464008i
\(285\) 5.74384e8 0.00515704
\(286\) 3.17924e10 + 5.50661e10i 0.280981 + 0.486673i
\(287\) 7.60074e9 + 1.31649e10i 0.0661283 + 0.114538i
\(288\) 4.33452e10 + 7.50761e10i 0.371257 + 0.643037i
\(289\) −6.58333e10 + 1.14027e11i −0.555143 + 0.961536i
\(290\) −9.54047e10 −0.792098
\(291\) 3.26125e10 5.64864e10i 0.266603 0.461770i
\(292\) 4.73968e10 + 8.20937e10i 0.381528 + 0.660826i
\(293\) 1.26267e11 1.00088 0.500442 0.865770i \(-0.333171\pi\)
0.500442 + 0.865770i \(0.333171\pi\)
\(294\) 5.62625e10 + 9.74496e10i 0.439194 + 0.760706i
\(295\) 3.04280e9 5.27028e9i 0.0233924 0.0405168i
\(296\) −1.71330e10 + 2.96753e10i −0.129724 + 0.224689i
\(297\) −1.44155e11 −1.07504
\(298\) 4.69599e10 8.13370e10i 0.344948 0.597468i
\(299\) −8.15362e10 −0.589970
\(300\) 6.31199e10 0.449905
\(301\) −1.32516e10 + 5.39084e9i −0.0930505 + 0.0378536i
\(302\) 2.06399e10 0.142783
\(303\) −8.67600e10 −0.591327
\(304\) 1.63476e9 2.83149e9i 0.0109780 0.0190144i
\(305\) 7.18792e10 0.475613
\(306\) −8.54108e10 + 1.47936e11i −0.556886 + 0.964555i
\(307\) 5.90676e10 1.02308e11i 0.379513 0.657336i −0.611478 0.791261i \(-0.709425\pi\)
0.990991 + 0.133925i \(0.0427582\pi\)
\(308\) −6.80496e9 1.17865e10i −0.0430871 0.0746290i
\(309\) 1.04596e11 0.652683
\(310\) 4.11544e10 + 7.12814e10i 0.253098 + 0.438378i
\(311\) −8.35485e10 + 1.44710e11i −0.506427 + 0.877157i 0.493545 + 0.869720i \(0.335701\pi\)
−0.999972 + 0.00743718i \(0.997633\pi\)
\(312\) 1.05272e10 0.0628952
\(313\) 7.00914e10 1.21402e11i 0.412777 0.714950i −0.582415 0.812891i \(-0.697892\pi\)
0.995192 + 0.0979410i \(0.0312256\pi\)
\(314\) 7.26159e10 + 1.25774e11i 0.421549 + 0.730144i
\(315\) 2.04142e9 + 3.53584e9i 0.0116825 + 0.0202347i
\(316\) 1.10270e11 + 1.90993e11i 0.622107 + 1.07752i
\(317\) 1.48017e11 0.823273 0.411636 0.911348i \(-0.364957\pi\)
0.411636 + 0.911348i \(0.364957\pi\)
\(318\) 4.24107e10 + 7.34576e10i 0.232570 + 0.402823i
\(319\) −1.38205e11 2.39379e11i −0.747251 1.29428i
\(320\) −2.37689e10 + 4.11689e10i −0.126717 + 0.219480i
\(321\) 2.03425e10 3.52342e10i 0.106938 0.185222i
\(322\) 3.86737e10 0.200477
\(323\) 5.44409e9 0.0278301
\(324\) 8.93109e9 1.54691e10i 0.0450248 0.0779853i
\(325\) −3.34024e10 + 5.78546e10i −0.166074 + 0.287649i
\(326\) −1.30031e11 2.25221e11i −0.637630 1.10441i
\(327\) 8.28182e10 + 1.43445e11i 0.400554 + 0.693780i
\(328\) 6.61702e10 0.315668
\(329\) 8.89429e8 + 1.54054e9i 0.00418533 + 0.00724920i
\(330\) −4.08306e10 7.07207e10i −0.189528 0.328272i
\(331\) 5.58228e10 + 9.66879e10i 0.255614 + 0.442737i 0.965062 0.262021i \(-0.0843889\pi\)
−0.709448 + 0.704758i \(0.751056\pi\)
\(332\) 6.93507e10 1.20119e11i 0.313278 0.542613i
\(333\) −1.37901e11 −0.614568
\(334\) 3.67215e10 6.36036e10i 0.161459 0.279655i
\(335\) 1.07011e10 + 1.85348e10i 0.0464223 + 0.0804058i
\(336\) −1.76799e10 −0.0756751
\(337\) 4.82875e10 + 8.36365e10i 0.203939 + 0.353233i 0.949794 0.312875i \(-0.101292\pi\)
−0.745855 + 0.666108i \(0.767959\pi\)
\(338\) −1.36168e11 + 2.35850e11i −0.567479 + 0.982902i
\(339\) 6.11895e10 1.05983e11i 0.251639 0.435852i
\(340\) −1.20557e11 −0.489255
\(341\) −1.19234e11 + 2.06520e11i −0.477536 + 0.827117i
\(342\) 3.71609e9 0.0146882
\(343\) 5.12425e10 0.199897
\(344\) −8.51942e9 + 6.16875e10i −0.0328018 + 0.237511i
\(345\) 1.04716e11 0.397948
\(346\) −2.00294e11 −0.751323
\(347\) 8.32633e10 1.44216e11i 0.308298 0.533988i −0.669692 0.742639i \(-0.733574\pi\)
0.977990 + 0.208651i \(0.0669073\pi\)
\(348\) 2.11898e11 0.774497
\(349\) 2.14506e11 3.71535e11i 0.773971 1.34056i −0.161401 0.986889i \(-0.551601\pi\)
0.935371 0.353667i \(-0.115066\pi\)
\(350\) 1.58432e10 2.74412e10i 0.0564334 0.0977455i
\(351\) 5.84808e10 + 1.01292e11i 0.205651 + 0.356198i
\(352\) −3.92796e11 −1.36372
\(353\) 4.70638e10 + 8.15169e10i 0.161325 + 0.279422i 0.935344 0.353739i \(-0.115090\pi\)
−0.774019 + 0.633162i \(0.781757\pi\)
\(354\) −1.49759e10 + 2.59391e10i −0.0506849 + 0.0877889i
\(355\) −7.98418e10 −0.266811
\(356\) −1.25018e10 + 2.16537e10i −0.0412522 + 0.0714508i
\(357\) −1.47195e10 2.54948e10i −0.0479606 0.0830702i
\(358\) −3.45649e11 5.98682e11i −1.11215 1.92629i
\(359\) −2.26740e11 3.92725e11i −0.720449 1.24785i −0.960820 0.277174i \(-0.910602\pi\)
0.240371 0.970681i \(-0.422731\pi\)
\(360\) 1.77721e10 0.0557671
\(361\) 1.61285e11 + 2.79353e11i 0.499816 + 0.865708i
\(362\) −2.93034e11 5.07550e11i −0.896870 1.55342i
\(363\) 9.57355e9 1.65819e10i 0.0289397 0.0501250i
\(364\) −5.52126e9 + 9.56311e9i −0.0164847 + 0.0285524i
\(365\) 1.28850e11 0.379984
\(366\) −3.53772e11 −1.03052
\(367\) −2.40248e11 + 4.16122e11i −0.691294 + 1.19736i 0.280120 + 0.959965i \(0.409626\pi\)
−0.971414 + 0.237391i \(0.923708\pi\)
\(368\) 2.98033e11 5.16208e11i 0.847127 1.46727i
\(369\) 1.33149e11 + 2.30621e11i 0.373868 + 0.647559i
\(370\) −1.07833e11 1.86771e11i −0.299118 0.518087i
\(371\) 1.92154e10 0.0526582
\(372\) −9.14056e10 1.58319e11i −0.247474 0.428637i
\(373\) 1.01291e10 + 1.75440e10i 0.0270944 + 0.0469288i 0.879255 0.476352i \(-0.158041\pi\)
−0.852160 + 0.523281i \(0.824708\pi\)
\(374\) −3.86998e11 6.70301e11i −1.02279 1.77153i
\(375\) 9.44410e10 1.63577e11i 0.246615 0.427150i
\(376\) 7.74316e9 0.0199790
\(377\) −1.12134e11 + 1.94222e11i −0.285892 + 0.495179i
\(378\) −2.77382e10 4.80440e10i −0.0698820 0.121039i
\(379\) −5.03945e11 −1.25461 −0.627303 0.778776i \(-0.715841\pi\)
−0.627303 + 0.778776i \(0.715841\pi\)
\(380\) 1.31131e9 + 2.27125e9i 0.00322610 + 0.00558778i
\(381\) −2.38204e11 + 4.12581e11i −0.579144 + 1.00311i
\(382\) −2.21859e11 + 3.84271e11i −0.533080 + 0.923321i
\(383\) −1.69219e10 −0.0401842 −0.0200921 0.999798i \(-0.506396\pi\)
−0.0200921 + 0.999798i \(0.506396\pi\)
\(384\) −6.60911e10 + 1.14473e11i −0.155115 + 0.268666i
\(385\) −1.84995e10 −0.0429127
\(386\) −2.75985e11 −0.632766
\(387\) −2.32140e11 + 9.44361e10i −0.526078 + 0.214012i
\(388\) 2.97814e11 0.667118
\(389\) −1.90105e10 −0.0420940 −0.0210470 0.999778i \(-0.506700\pi\)
−0.0210470 + 0.999778i \(0.506700\pi\)
\(390\) −3.31283e10 + 5.73799e10i −0.0725117 + 0.125594i
\(391\) 9.92512e11 2.14754
\(392\) 5.54803e10 9.60948e10i 0.118673 0.205548i
\(393\) 1.30258e11 2.25613e11i 0.275446 0.477087i
\(394\) 5.34534e11 + 9.25841e11i 1.11749 + 1.93554i
\(395\) 2.99771e11 0.619588
\(396\) −1.19208e11 2.06475e11i −0.243601 0.421929i
\(397\) −2.94136e11 + 5.09458e11i −0.594280 + 1.02932i 0.399368 + 0.916791i \(0.369229\pi\)
−0.993648 + 0.112532i \(0.964104\pi\)
\(398\) −8.77655e9 −0.0175327
\(399\) −3.20211e8 + 5.54621e8i −0.000632496 + 0.00109551i
\(400\) −2.44186e11 4.22943e11i −0.476926 0.826060i
\(401\) 4.08227e11 + 7.07069e11i 0.788409 + 1.36556i 0.926941 + 0.375207i \(0.122428\pi\)
−0.138532 + 0.990358i \(0.544238\pi\)
\(402\) −5.26682e10 9.12240e10i −0.100585 0.174218i
\(403\) 1.93484e11 0.365402
\(404\) −1.98071e11 3.43070e11i −0.369918 0.640717i
\(405\) −1.21397e10 2.10266e10i −0.0224213 0.0388348i
\(406\) 5.31867e10 9.21220e10i 0.0971484 0.168266i
\(407\) 3.12417e11 5.41123e11i 0.564365 0.977509i
\(408\) −1.28144e11 −0.228943
\(409\) 7.52116e11 1.32902 0.664508 0.747281i \(-0.268641\pi\)
0.664508 + 0.747281i \(0.268641\pi\)
\(410\) −2.08233e11 + 3.60669e11i −0.363933 + 0.630350i
\(411\) −2.27415e11 + 3.93894e11i −0.393125 + 0.680912i
\(412\) 2.38791e11 + 4.13598e11i 0.408300 + 0.707197i
\(413\) 3.39263e9 + 5.87621e9i 0.00573801 + 0.00993852i
\(414\) 6.77481e11 1.13343
\(415\) −9.42659e10 1.63273e11i −0.156005 0.270208i
\(416\) 1.59349e11 + 2.76001e11i 0.260874 + 0.451847i
\(417\) 3.68046e11 + 6.37474e11i 0.596060 + 1.03241i
\(418\) −8.41885e9 + 1.45819e10i −0.0134884 + 0.0233626i
\(419\) 2.91146e11 0.461475 0.230738 0.973016i \(-0.425886\pi\)
0.230738 + 0.973016i \(0.425886\pi\)
\(420\) 7.09089e9 1.22818e10i 0.0111193 0.0192593i
\(421\) 4.03289e11 + 6.98518e11i 0.625673 + 1.08370i 0.988410 + 0.151806i \(0.0485088\pi\)
−0.362737 + 0.931891i \(0.618158\pi\)
\(422\) 1.10273e12 1.69264
\(423\) 1.55809e10 + 2.69869e10i 0.0236625 + 0.0409847i
\(424\) 4.18211e10 7.24363e10i 0.0628419 0.108845i
\(425\) 4.06596e11 7.04244e11i 0.604523 1.04706i
\(426\) 3.92962e11 0.578106
\(427\) −4.00716e10 + 6.94060e10i −0.0583325 + 0.101035i
\(428\) 1.85766e11 0.267589
\(429\) −1.91961e11 −0.273625
\(430\) −3.09425e11 2.40562e11i −0.436463 0.339327i
\(431\) −6.98071e10 −0.0974433 −0.0487216 0.998812i \(-0.515515\pi\)
−0.0487216 + 0.998812i \(0.515515\pi\)
\(432\) −8.55040e11 −1.18116
\(433\) 1.16104e11 2.01097e11i 0.158727 0.274923i −0.775683 0.631123i \(-0.782594\pi\)
0.934410 + 0.356200i \(0.115928\pi\)
\(434\) −9.17717e10 −0.124167
\(435\) 1.44012e11 2.49437e11i 0.192841 0.334010i
\(436\) −3.78145e11 + 6.54966e11i −0.501151 + 0.868019i
\(437\) −1.07957e10 1.86987e10i −0.0141607 0.0245270i
\(438\) −6.34166e11 −0.823321
\(439\) −8.91778e10 1.54460e11i −0.114595 0.198485i 0.803023 0.595948i \(-0.203224\pi\)
−0.917618 + 0.397464i \(0.869890\pi\)
\(440\) −4.02630e10 + 6.97375e10i −0.0512116 + 0.0887012i
\(441\) 4.46554e11 0.562212
\(442\) −3.13995e11 + 5.43855e11i −0.391311 + 0.677770i
\(443\) −2.99329e11 5.18453e11i −0.369260 0.639577i 0.620190 0.784452i \(-0.287055\pi\)
−0.989450 + 0.144875i \(0.953722\pi\)
\(444\) 2.39501e11 + 4.14827e11i 0.292471 + 0.506575i
\(445\) 1.69932e10 + 2.94331e10i 0.0205426 + 0.0355808i
\(446\) 1.16391e12 1.39287
\(447\) 1.41771e11 + 2.45555e11i 0.167959 + 0.290914i
\(448\) −2.65016e10 4.59021e10i −0.0310829 0.0538371i
\(449\) −3.61205e11 + 6.25625e11i −0.419416 + 0.726449i −0.995881 0.0906725i \(-0.971098\pi\)
0.576465 + 0.817122i \(0.304432\pi\)
\(450\) 2.77539e11 4.80711e11i 0.319056 0.552622i
\(451\) −1.20660e12 −1.37331
\(452\) 5.58777e11 0.629674
\(453\) −3.11557e10 + 5.39633e10i −0.0347613 + 0.0602083i
\(454\) −2.61201e11 + 4.52413e11i −0.288551 + 0.499785i
\(455\) 7.50485e9 + 1.29988e10i 0.00820901 + 0.0142184i
\(456\) 1.39384e9 + 2.41420e9i 0.00150963 + 0.00261476i
\(457\) −6.16070e11 −0.660704 −0.330352 0.943858i \(-0.607167\pi\)
−0.330352 + 0.943858i \(0.607167\pi\)
\(458\) −1.72186e11 2.98234e11i −0.182853 0.316711i
\(459\) −7.11866e11 1.23299e12i −0.748586 1.29659i
\(460\) 2.39064e11 + 4.14072e11i 0.248946 + 0.431186i
\(461\) 2.67004e11 4.62464e11i 0.275336 0.476896i −0.694884 0.719122i \(-0.744544\pi\)
0.970220 + 0.242226i \(0.0778776\pi\)
\(462\) 9.10498e10 0.0929801
\(463\) −3.85271e11 + 6.67309e11i −0.389630 + 0.674858i −0.992400 0.123057i \(-0.960730\pi\)
0.602770 + 0.797915i \(0.294064\pi\)
\(464\) −8.19749e11 1.41985e12i −0.821013 1.42204i
\(465\) −2.48488e11 −0.246472
\(466\) 5.78982e11 + 1.00283e12i 0.568759 + 0.985119i
\(467\) 1.70011e11 2.94467e11i 0.165406 0.286491i −0.771394 0.636358i \(-0.780440\pi\)
0.936799 + 0.349867i \(0.113773\pi\)
\(468\) −9.67208e10 + 1.67525e11i −0.0931995 + 0.161426i
\(469\) −2.38628e10 −0.0227742
\(470\) −2.43671e10 + 4.22050e10i −0.0230337 + 0.0398955i
\(471\) −4.38452e11 −0.410514
\(472\) 2.95354e10 0.0273908
\(473\) 1.55350e11 1.12486e12i 0.142704 1.03329i
\(474\) −1.47540e12 −1.34248
\(475\) −1.76904e10 −0.0159447
\(476\) 6.72084e10 1.16408e11i 0.0600057 0.103933i
\(477\) 3.36612e11 0.297713
\(478\) 5.52112e11 9.56286e11i 0.483728 0.837842i
\(479\) −1.08430e12 + 1.87807e12i −0.941111 + 1.63005i −0.177755 + 0.984075i \(0.556883\pi\)
−0.763357 + 0.645977i \(0.776450\pi\)
\(480\) −2.04651e11 3.54465e11i −0.175965 0.304781i
\(481\) −5.06965e11 −0.431842
\(482\) −8.46052e11 1.46541e12i −0.713979 1.23665i
\(483\) −5.83775e10 + 1.01113e11i −0.0488072 + 0.0845365i
\(484\) 8.74249e10 0.0724154
\(485\) 2.02404e11 3.50574e11i 0.166105 0.287701i
\(486\) −7.95820e11 1.37840e12i −0.647070 1.12076i
\(487\) 1.76906e11 + 3.06410e11i 0.142516 + 0.246844i 0.928443 0.371474i \(-0.121148\pi\)
−0.785928 + 0.618318i \(0.787814\pi\)
\(488\) 1.74427e11 + 3.02116e11i 0.139227 + 0.241148i
\(489\) 7.85124e11 0.620938
\(490\) 3.49184e11 + 6.04805e11i 0.273636 + 0.473951i
\(491\) −2.63894e11 4.57078e11i −0.204910 0.354914i 0.745194 0.666848i \(-0.232357\pi\)
−0.950104 + 0.311933i \(0.899023\pi\)
\(492\) 4.62493e11 8.01062e11i 0.355846 0.616344i
\(493\) 1.36497e12 2.36420e12i 1.04067 1.80249i
\(494\) 1.36614e10 0.0103211
\(495\) −3.24071e11 −0.242615
\(496\) −7.07225e11 + 1.22495e12i −0.524674 + 0.908763i
\(497\) 4.45106e10 7.70947e10i 0.0327235 0.0566788i
\(498\) 4.63954e11 + 8.03592e11i 0.338020 + 0.585468i
\(499\) −8.46526e11 1.46623e12i −0.611207 1.05864i −0.991037 0.133585i \(-0.957351\pi\)
0.379831 0.925056i \(-0.375982\pi\)
\(500\) 8.62428e11 0.617103
\(501\) 1.10862e11 + 1.92018e11i 0.0786161 + 0.136167i
\(502\) 5.77964e11 + 1.00106e12i 0.406195 + 0.703550i
\(503\) −9.62484e11 1.66707e12i −0.670406 1.16118i −0.977789 0.209591i \(-0.932787\pi\)
0.307384 0.951586i \(-0.400547\pi\)
\(504\) −9.90769e9 + 1.71606e10i −0.00683967 + 0.0118467i
\(505\) −5.38462e11 −0.368421
\(506\) −1.53484e12 + 2.65842e12i −1.04084 + 1.80280i
\(507\) −4.11088e11 7.12026e11i −0.276312 0.478586i
\(508\) −2.17526e12 −1.44919
\(509\) 9.23687e11 + 1.59987e12i 0.609951 + 1.05647i 0.991248 + 0.132013i \(0.0421440\pi\)
−0.381297 + 0.924452i \(0.624523\pi\)
\(510\) 4.03259e11 6.98466e11i 0.263948 0.457172i
\(511\) −7.18317e10 + 1.24416e11i −0.0466038 + 0.0807202i
\(512\) −1.90255e12 −1.22355
\(513\) −1.54861e10 + 2.68227e10i −0.00987221 + 0.0170992i
\(514\) 4.23418e12 2.67569
\(515\) 6.49159e11 0.406648
\(516\) 6.87247e11 + 5.34298e11i 0.426765 + 0.331787i
\(517\) −1.41195e11 −0.0869183
\(518\) 2.40460e11 0.146744
\(519\) 3.02343e11 5.23673e11i 0.182914 0.316816i
\(520\) 6.53354e10 0.0391863
\(521\) −1.58043e12 + 2.73738e12i −0.939733 + 1.62767i −0.173764 + 0.984787i \(0.555593\pi\)
−0.765969 + 0.642878i \(0.777740\pi\)
\(522\) 9.31717e11 1.61378e12i 0.549246 0.951322i
\(523\) 3.18933e11 + 5.52408e11i 0.186398 + 0.322851i 0.944047 0.329812i \(-0.106985\pi\)
−0.757649 + 0.652663i \(0.773652\pi\)
\(524\) 1.18950e12 0.689246
\(525\) 4.78302e10 + 8.28444e10i 0.0274780 + 0.0475934i
\(526\) −3.94204e11 + 6.82781e11i −0.224536 + 0.388907i
\(527\) −2.35521e12 −1.33009
\(528\) 7.01661e11 1.21531e12i 0.392893 0.680511i
\(529\) −1.06758e12 1.84911e12i −0.592721 1.02662i
\(530\) 2.63216e11 + 4.55903e11i 0.144901 + 0.250975i
\(531\) 5.94317e10 + 1.02939e11i 0.0324409 + 0.0561892i
\(532\) −2.92414e9 −0.00158269
\(533\) 4.89493e11 + 8.47827e11i 0.262709 + 0.455025i
\(534\) −8.36364e10 1.44863e11i −0.0445102 0.0770940i
\(535\) 1.26252e11 2.18675e11i 0.0666266 0.115401i
\(536\) −5.19360e10 + 8.99557e10i −0.0271786 + 0.0470747i
\(537\) 2.08702e12 1.08303
\(538\) 6.23685e11 0.320956
\(539\) −1.01167e12 + 1.75227e12i −0.516286 + 0.894234i
\(540\) 3.42932e11 5.93975e11i 0.173554 0.300605i
\(541\) −8.16967e11 1.41503e12i −0.410031 0.710195i 0.584862 0.811133i \(-0.301149\pi\)
−0.994893 + 0.100938i \(0.967816\pi\)
\(542\) 2.02780e12 + 3.51226e12i 1.00932 + 1.74819i
\(543\) 1.76933e12 0.873392
\(544\) −1.93971e12 3.35967e12i −0.949600 1.64476i
\(545\) 5.13998e11 + 8.90271e11i 0.249561 + 0.432253i
\(546\) −3.69370e10 6.39768e10i −0.0177867 0.0308075i
\(547\) 1.54490e12 2.67584e12i 0.737831 1.27796i −0.215639 0.976473i \(-0.569183\pi\)
0.953470 0.301488i \(-0.0974833\pi\)
\(548\) −2.07673e12 −0.983712
\(549\) −7.01968e11 + 1.21584e12i −0.329793 + 0.571219i
\(550\) 1.25753e12 + 2.17811e12i 0.585987 + 1.01496i
\(551\) −5.93878e10 −0.0274483
\(552\) 2.54111e11 + 4.40132e11i 0.116492 + 0.201770i
\(553\) −1.67118e11 + 2.89457e11i −0.0759907 + 0.131620i
\(554\) 2.77072e11 4.79903e11i 0.124968 0.216451i
\(555\) 6.51089e11 0.291288
\(556\) −1.68048e12 + 2.91068e12i −0.745757 + 1.29169i
\(557\) 1.52009e12 0.669144 0.334572 0.942370i \(-0.391408\pi\)
0.334572 + 0.942370i \(0.391408\pi\)
\(558\) −1.60765e12 −0.701999
\(559\) −8.53412e11 + 3.47174e11i −0.369663 + 0.150381i
\(560\) −1.09727e11 −0.0471486
\(561\) 2.33668e12 0.996016
\(562\) 1.13403e12 1.96421e12i 0.479527 0.830565i
\(563\) 1.86712e12 0.783223 0.391611 0.920131i \(-0.371918\pi\)
0.391611 + 0.920131i \(0.371918\pi\)
\(564\) 5.41203e10 9.37392e10i 0.0225219 0.0390090i
\(565\) 3.79763e11 6.57768e11i 0.156781 0.271553i
\(566\) 2.70914e12 + 4.69237e12i 1.10958 + 1.92184i
\(567\) 2.70708e10 0.0109996
\(568\) −1.93749e11 3.35584e11i −0.0781039 0.135280i
\(569\) −1.43439e12 + 2.48444e12i −0.573670 + 0.993625i 0.422515 + 0.906356i \(0.361147\pi\)
−0.996185 + 0.0872693i \(0.972186\pi\)
\(570\) −1.75452e10 −0.00696180
\(571\) −1.42479e12 + 2.46781e12i −0.560904 + 0.971514i 0.436514 + 0.899697i \(0.356213\pi\)
−0.997418 + 0.0718166i \(0.977120\pi\)
\(572\) −4.38244e11 7.59061e11i −0.171172 0.296479i
\(573\) −6.69788e11 1.16011e12i −0.259562 0.449575i
\(574\) −2.32173e11 4.02135e11i −0.0892705 0.154621i
\(575\) −3.22513e12 −1.23039
\(576\) −4.64252e11 8.04108e11i −0.175733 0.304378i
\(577\) −2.65796e11 4.60372e11i −0.0998290 0.172909i 0.811785 0.583957i \(-0.198496\pi\)
−0.911614 + 0.411048i \(0.865163\pi\)
\(578\) 2.01095e12 3.48307e12i 0.749421 1.29803i
\(579\) 4.16597e11 7.21568e11i 0.154050 0.266823i
\(580\) 1.31511e12 0.482543
\(581\) 2.10207e11 0.0765341
\(582\) −9.96184e11 + 1.72544e12i −0.359903 + 0.623371i
\(583\) −7.62600e11 + 1.32086e12i −0.273393 + 0.473531i
\(584\) 3.12675e11 + 5.41568e11i 0.111233 + 0.192662i
\(585\) 1.31469e11 + 2.27711e11i 0.0464111 + 0.0803864i
\(586\) −3.85695e12 −1.35115
\(587\) −1.48985e12 2.58049e12i −0.517930 0.897081i −0.999783 0.0208286i \(-0.993370\pi\)
0.481853 0.876252i \(-0.339964\pi\)
\(588\) −7.75553e11 1.34330e12i −0.267555 0.463420i
\(589\) 2.56179e10 + 4.43715e10i 0.00877050 + 0.0151910i
\(590\) −9.29457e10 + 1.60987e11i −0.0315788 + 0.0546960i
\(591\) −3.22750e12 −1.08823
\(592\) 1.85307e12 3.20961e12i 0.620074 1.07400i
\(593\) −2.30600e12 3.99411e12i −0.765797 1.32640i −0.939824 0.341659i \(-0.889011\pi\)
0.174027 0.984741i \(-0.444322\pi\)
\(594\) 4.40338e12 1.45127
\(595\) −9.13539e10 1.58230e11i −0.0298814 0.0517561i
\(596\) −6.47321e11 + 1.12119e12i −0.210141 + 0.363976i
\(597\) 1.32481e10 2.29464e10i 0.00426844 0.00739316i
\(598\) 2.49061e12 0.796436
\(599\) −1.55506e12 + 2.69345e12i −0.493546 + 0.854846i −0.999972 0.00743677i \(-0.997633\pi\)
0.506427 + 0.862283i \(0.330966\pi\)
\(600\) 4.16399e11 0.131168
\(601\) 6.12005e12 1.91346 0.956730 0.290976i \(-0.0939800\pi\)
0.956730 + 0.290976i \(0.0939800\pi\)
\(602\) 4.04784e11 1.64669e11i 0.125614 0.0511008i
\(603\) −4.18026e11 −0.128758
\(604\) −2.84512e11 −0.0869829
\(605\) 5.94167e10 1.02913e11i 0.0180306 0.0312299i
\(606\) 2.65018e12 0.798268
\(607\) 1.90712e12 3.30322e12i 0.570201 0.987618i −0.426344 0.904561i \(-0.640199\pi\)
0.996545 0.0830564i \(-0.0264681\pi\)
\(608\) −4.21968e10 + 7.30871e10i −0.0125232 + 0.0216907i
\(609\) 1.60570e11 + 2.78115e11i 0.0473026 + 0.0819306i
\(610\) −2.19563e12 −0.642058
\(611\) 5.72799e10 + 9.92116e10i 0.0166271 + 0.0287990i
\(612\) 1.17735e12 2.03923e12i 0.339253 0.587603i
\(613\) 2.16265e12 0.618606 0.309303 0.950964i \(-0.399904\pi\)
0.309303 + 0.950964i \(0.399904\pi\)
\(614\) −1.80429e12 + 3.12511e12i −0.512327 + 0.887377i
\(615\) −6.28650e11 1.08885e12i −0.177203 0.306924i
\(616\) −4.48920e10 7.77552e10i −0.0125619 0.0217579i
\(617\) 3.21121e12 + 5.56199e12i 0.892044 + 1.54506i 0.837421 + 0.546558i \(0.184062\pi\)
0.0546222 + 0.998507i \(0.482605\pi\)
\(618\) −3.19500e12 −0.881095
\(619\) −6.33581e11 1.09739e12i −0.173458 0.300438i 0.766169 0.642640i \(-0.222161\pi\)
−0.939626 + 0.342202i \(0.888827\pi\)
\(620\) −5.67294e11 9.82582e11i −0.154186 0.267058i
\(621\) −2.82327e12 + 4.89005e12i −0.761799 + 1.31947i
\(622\) 2.55208e12 4.42033e12i 0.683656 1.18413i
\(623\) −3.78938e10 −0.0100779
\(624\) −1.13860e12 −0.300635
\(625\) −1.00132e12 + 1.73434e12i −0.262491 + 0.454648i
\(626\) −2.14102e12 + 3.70835e12i −0.557232 + 0.965154i
\(627\) −2.54164e10 4.40224e10i −0.00656764 0.0113755i
\(628\) −1.00098e12 1.73374e12i −0.256806 0.444801i
\(629\) 6.17111e12 1.57194
\(630\) −6.23574e10 1.08006e11i −0.0157709 0.0273160i
\(631\) −2.26512e12 3.92330e12i −0.568799 0.985189i −0.996685 0.0813566i \(-0.974075\pi\)
0.427886 0.903833i \(-0.359259\pi\)
\(632\) 7.27445e11 + 1.25997e12i 0.181373 + 0.314148i
\(633\) −1.66457e12 + 2.88311e12i −0.412083 + 0.713748i
\(634\) −4.52133e12 −1.11138
\(635\) −1.47837e12 + 2.56062e12i −0.360830 + 0.624976i
\(636\) −5.84613e11 1.01258e12i −0.141681 0.245398i
\(637\) 1.64166e12 0.395053
\(638\) 4.22163e12 + 7.31208e12i 1.00876 + 1.74722i
\(639\) 7.79731e11 1.35053e12i 0.185008 0.320444i
\(640\) −4.10184e11 + 7.10459e11i −0.0966426 + 0.167390i
\(641\) 4.72184e12 1.10472 0.552358 0.833607i \(-0.313728\pi\)
0.552358 + 0.833607i \(0.313728\pi\)
\(642\) −6.21383e11 + 1.07627e12i −0.144362 + 0.250042i
\(643\) 1.55455e12 0.358636 0.179318 0.983791i \(-0.442611\pi\)
0.179318 + 0.983791i \(0.442611\pi\)
\(644\) −5.33099e11 −0.122130
\(645\) 1.09603e12 4.45871e11i 0.249346 0.101436i
\(646\) −1.66296e11 −0.0375695
\(647\) 4.64966e12 1.04316 0.521581 0.853202i \(-0.325343\pi\)
0.521581 + 0.853202i \(0.325343\pi\)
\(648\) 5.89180e10 1.02049e11i 0.0131269 0.0227364i
\(649\) −5.38572e11 −0.119163
\(650\) 1.02031e12 1.76723e12i 0.224193 0.388315i
\(651\) 1.38529e11 2.39938e11i 0.0302291 0.0523583i
\(652\) 1.79242e12 + 3.10457e12i 0.388442 + 0.672801i
\(653\) −4.88077e12 −1.05046 −0.525230 0.850961i \(-0.676021\pi\)
−0.525230 + 0.850961i \(0.676021\pi\)
\(654\) −2.52977e12 4.38170e12i −0.540732 0.936575i
\(655\) 8.08423e11 1.40023e12i 0.171614 0.297244i
\(656\) −7.15682e12 −1.50887
\(657\) −1.25834e12 + 2.17951e12i −0.263483 + 0.456366i
\(658\) −2.71686e10 4.70573e10i −0.00565002 0.00978613i
\(659\) −1.33376e12 2.31015e12i −0.275483 0.477150i 0.694774 0.719228i \(-0.255504\pi\)
−0.970257 + 0.242078i \(0.922171\pi\)
\(660\) 5.62831e11 + 9.74853e11i 0.115460 + 0.199982i
\(661\) 4.42473e12 0.901530 0.450765 0.892643i \(-0.351151\pi\)
0.450765 + 0.892643i \(0.351151\pi\)
\(662\) −1.70517e12 2.95344e12i −0.345069 0.597677i
\(663\) −9.47944e11 1.64189e12i −0.190534 0.330014i
\(664\) 4.57504e11 7.92420e11i 0.0913352 0.158197i
\(665\) −1.98734e9 + 3.44217e9i −0.000394070 + 0.000682550i
\(666\) 4.21235e12 0.829641
\(667\) −1.08270e13 −2.11807
\(668\) −5.06190e11 + 8.76746e11i −0.0983601 + 0.170365i
\(669\) −1.75691e12 + 3.04306e12i −0.339103 + 0.587344i
\(670\) −3.26877e11 5.66167e11i −0.0626682 0.108545i
\(671\) −3.18064e12 5.50902e12i −0.605707 1.04912i
\(672\) 4.56358e11 0.0863265
\(673\) −4.89054e12 8.47067e12i −0.918944 1.59166i −0.801022 0.598635i \(-0.795710\pi\)
−0.117922 0.993023i \(-0.537623\pi\)
\(674\) −1.47500e12 2.55477e12i −0.275310 0.476850i
\(675\) 2.31318e12 + 4.00655e12i 0.428887 + 0.742853i
\(676\) 1.87701e12 3.25108e12i 0.345706 0.598781i
\(677\) −8.08656e12 −1.47950 −0.739750 0.672882i \(-0.765056\pi\)
−0.739750 + 0.672882i \(0.765056\pi\)
\(678\) −1.86910e12 + 3.23738e12i −0.339703 + 0.588382i
\(679\) 2.25674e11 + 3.90880e11i 0.0407444 + 0.0705714i
\(680\) −7.95306e11 −0.142641
\(681\) −7.88560e11 1.36583e12i −0.140499 0.243351i
\(682\) 3.64214e12 6.30837e12i 0.644654 1.11657i
\(683\) 4.33342e12 7.50571e12i 0.761970 1.31977i −0.179863 0.983692i \(-0.557566\pi\)
0.941834 0.336080i \(-0.109101\pi\)
\(684\) −5.12247e10 −0.00894801
\(685\) −1.41141e12 + 2.44464e12i −0.244933 + 0.424236i
\(686\) −1.56526e12 −0.269853
\(687\) 1.03965e12 0.178066
\(688\) 9.21441e11 6.67197e12i 0.156790 1.13529i
\(689\) 1.23748e12 0.209196
\(690\) −3.19866e12 −0.537214
\(691\) 4.08953e12 7.08327e12i 0.682373 1.18191i −0.291881 0.956455i \(-0.594281\pi\)
0.974255 0.225451i \(-0.0723855\pi\)
\(692\) 2.76097e12 0.457703
\(693\) 1.80665e11 3.12920e11i 0.0297559 0.0515388i
\(694\) −2.54337e12 + 4.40524e12i −0.416190 + 0.720862i
\(695\) 2.28422e12 + 3.95638e12i 0.371369 + 0.643230i
\(696\) 1.39788e12 0.225802
\(697\) −5.95843e12 1.03203e13i −0.956279 1.65632i
\(698\) −6.55231e12 + 1.13489e13i −1.04483 + 1.80970i
\(699\) −3.49587e12 −0.553870
\(700\) −2.18391e11 + 3.78264e11i −0.0343790 + 0.0595462i
\(701\) −4.01215e12 6.94924e12i −0.627546 1.08694i −0.988043 0.154181i \(-0.950726\pi\)
0.360497 0.932761i \(-0.382607\pi\)
\(702\) −1.78636e12 3.09407e12i −0.277621 0.480853i
\(703\) −6.71239e10 1.16262e11i −0.0103652 0.0179531i
\(704\) 4.20707e12 0.645510
\(705\) −7.35638e10 1.27416e11i −0.0112154 0.0194256i
\(706\) −1.43761e12 2.49002e12i −0.217782 0.377209i
\(707\) 3.00185e11 5.19935e11i 0.0451857 0.0782639i
\(708\) 2.06436e11 3.57558e11i 0.0308771 0.0534807i
\(709\) 4.75616e12 0.706885 0.353442 0.935456i \(-0.385011\pi\)
0.353442 + 0.935456i \(0.385011\pi\)
\(710\) 2.43886e12 0.360183
\(711\) −2.92755e12 + 5.07067e12i −0.429627 + 0.744136i
\(712\) −8.24737e10 + 1.42849e11i −0.0120269 + 0.0208313i
\(713\) 4.67039e12 + 8.08936e12i 0.676785 + 1.17223i
\(714\) 4.49622e11 + 7.78768e11i 0.0647449 + 0.112141i
\(715\) −1.19138e12 −0.170480
\(716\) 4.76461e12 + 8.25255e12i 0.677515 + 1.17349i
\(717\) 1.66682e12 + 2.88701e12i 0.235533 + 0.407955i
\(718\) 6.92603e12 + 1.19962e13i 0.972577 + 1.68455i
\(719\) −2.75703e12 + 4.77531e12i −0.384735 + 0.666380i −0.991732 0.128324i \(-0.959040\pi\)
0.606998 + 0.794704i \(0.292374\pi\)
\(720\) −1.92219e12 −0.266563
\(721\) −3.61896e11 + 6.26823e11i −0.0498741 + 0.0863845i
\(722\) −4.92662e12 8.53315e12i −0.674732 1.16867i
\(723\) 5.10843e12 0.695289
\(724\) 4.03934e12 + 6.99634e12i 0.546370 + 0.946340i
\(725\) −4.43541e12 + 7.68236e12i −0.596229 + 1.03270i
\(726\) −2.92435e11 + 5.06512e11i −0.0390674 + 0.0676667i
\(727\) 8.08269e12 1.07313 0.536564 0.843860i \(-0.319722\pi\)
0.536564 + 0.843860i \(0.319722\pi\)
\(728\) −3.64235e10 + 6.30874e10i −0.00480608 + 0.00832437i
\(729\) 5.64011e12 0.739629
\(730\) −3.93585e12 −0.512963
\(731\) 1.03883e13 4.22603e12i 1.34560 0.547400i
\(732\) 4.87658e12 0.627792
\(733\) 1.32851e13 1.69979 0.849896 0.526951i \(-0.176665\pi\)
0.849896 + 0.526951i \(0.176665\pi\)
\(734\) 7.33864e12 1.27109e13i 0.933219 1.61638i
\(735\) −2.10836e12 −0.266472
\(736\) −7.69290e12 + 1.33245e13i −0.966362 + 1.67379i
\(737\) 9.47042e11 1.64032e12i 0.118240 0.204798i
\(738\) −4.06718e12 7.04456e12i −0.504707 0.874178i
\(739\) −9.80658e12 −1.20953 −0.604766 0.796403i \(-0.706733\pi\)
−0.604766 + 0.796403i \(0.706733\pi\)
\(740\) 1.48642e12 + 2.57456e12i 0.182221 + 0.315617i
\(741\) −2.06218e10 + 3.57180e10i −0.00251272 + 0.00435216i
\(742\) −5.86955e11 −0.0710865
\(743\) −7.27626e12 + 1.26029e13i −0.875908 + 1.51712i −0.0201167 + 0.999798i \(0.506404\pi\)
−0.855792 + 0.517320i \(0.826930\pi\)
\(744\) −6.02998e11 1.04442e12i −0.0721503 0.124968i
\(745\) 8.79880e11 + 1.52400e12i 0.104645 + 0.181251i
\(746\) −3.09403e11 5.35902e11i −0.0365763 0.0633520i
\(747\) 3.68238e12 0.432700
\(748\) 5.33459e12 + 9.23979e12i 0.623081 + 1.07921i
\(749\) 1.40767e11 + 2.43816e11i 0.0163431 + 0.0283071i
\(750\) −2.88480e12 + 4.99663e12i −0.332921 + 0.576636i
\(751\) −2.41446e12 + 4.18196e12i −0.276974 + 0.479734i −0.970631 0.240572i \(-0.922665\pi\)
0.693657 + 0.720306i \(0.255998\pi\)
\(752\) −8.37482e11 −0.0954982
\(753\) −3.48973e12 −0.395561
\(754\) 3.42526e12 5.93272e12i 0.385942 0.668472i
\(755\) −1.93363e11 + 3.34915e11i −0.0216577 + 0.0375122i
\(756\) 3.82358e11 + 6.62264e11i 0.0425718 + 0.0737366i
\(757\) 7.16007e12 + 1.24016e13i 0.792476 + 1.37261i 0.924430 + 0.381353i \(0.124542\pi\)
−0.131954 + 0.991256i \(0.542125\pi\)
\(758\) 1.53936e13 1.69367
\(759\) −4.63365e12 8.02572e12i −0.506799 0.877801i
\(760\) 8.65064e9 + 1.49833e10i 0.000940561 + 0.00162910i
\(761\) 5.40021e12 + 9.35344e12i 0.583686 + 1.01097i 0.995038 + 0.0994977i \(0.0317236\pi\)
−0.411351 + 0.911477i \(0.634943\pi\)
\(762\) 7.27620e12 1.26027e13i 0.781820 1.35415i
\(763\) −1.14618e12 −0.122432