Properties

Label 43.10.c.a.6.19
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 6.19
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.19

$q$-expansion

\(f(q)\) \(=\) \(q+3.31091 q^{2} +(64.4391 - 111.612i) q^{3} -501.038 q^{4} +(-994.242 + 1722.08i) q^{5} +(213.352 - 369.536i) q^{6} +(-3834.95 - 6642.33i) q^{7} -3354.07 q^{8} +(1536.70 + 2661.64i) q^{9} +O(q^{10})\) \(q+3.31091 q^{2} +(64.4391 - 111.612i) q^{3} -501.038 q^{4} +(-994.242 + 1722.08i) q^{5} +(213.352 - 369.536i) q^{6} +(-3834.95 - 6642.33i) q^{7} -3354.07 q^{8} +(1536.70 + 2661.64i) q^{9} +(-3291.84 + 5701.64i) q^{10} +56849.2 q^{11} +(-32286.4 + 55921.8i) q^{12} +(31462.4 + 54494.4i) q^{13} +(-12697.2 - 21992.1i) q^{14} +(128136. + 221938. i) q^{15} +245426. q^{16} +(-33278.7 - 57640.4i) q^{17} +(5087.86 + 8812.43i) q^{18} +(343804. - 595487. i) q^{19} +(498153. - 862826. i) q^{20} -988484. q^{21} +188222. q^{22} +(-93712.2 + 162314. i) q^{23} +(-216134. + 374354. i) q^{24} +(-1.00047e6 - 1.73287e6i) q^{25} +(104169. + 180426. i) q^{26} +2.93280e6 q^{27} +(1.92146e6 + 3.32806e6i) q^{28} +(2.36009e6 + 4.08780e6i) q^{29} +(424247. + 734817. i) q^{30} +(419930. - 727340. i) q^{31} +2.52987e6 q^{32} +(3.66331e6 - 6.34504e6i) q^{33} +(-110183. - 190842. i) q^{34} +1.52515e7 q^{35} +(-769944. - 1.33358e6i) q^{36} +(-1.90633e6 + 3.30187e6i) q^{37} +(1.13830e6 - 1.97160e6i) q^{38} +8.10963e6 q^{39} +(3.33476e6 - 5.77597e6i) q^{40} +1.88228e7 q^{41} -3.27278e6 q^{42} +(-1.72113e7 + 1.43654e7i) q^{43} -2.84836e7 q^{44} -6.11139e6 q^{45} +(-310272. + 537408. i) q^{46} +4.22243e7 q^{47} +(1.58151e7 - 2.73925e7i) q^{48} +(-9.23692e6 + 1.59988e7i) q^{49} +(-3.31246e6 - 5.73735e6i) q^{50} -8.57780e6 q^{51} +(-1.57638e7 - 2.73038e7i) q^{52} +(1.81246e7 - 3.13927e7i) q^{53} +9.71024e6 q^{54} +(-5.65218e7 + 9.78987e7i) q^{55} +(1.28627e7 + 2.22789e7i) q^{56} +(-4.43089e7 - 7.67453e7i) q^{57} +(7.81405e6 + 1.35343e7i) q^{58} +907779. q^{59} +(-6.42011e7 - 1.11199e8i) q^{60} +(8.54692e7 + 1.48037e8i) q^{61} +(1.39035e6 - 2.40815e6i) q^{62} +(1.17863e7 - 2.04145e7i) q^{63} -1.17282e8 q^{64} -1.25125e8 q^{65} +(1.21289e7 - 2.10078e7i) q^{66} +(-6.89148e7 + 1.19364e8i) q^{67} +(1.66739e7 + 2.88800e7i) q^{68} +(1.20775e7 + 2.09188e7i) q^{69} +5.04962e7 q^{70} +(1.65415e8 + 2.86506e8i) q^{71} +(-5.15420e6 - 8.92733e6i) q^{72} +(-2.35026e8 - 4.07078e8i) q^{73} +(-6.31169e6 + 1.09322e7i) q^{74} -2.57878e8 q^{75} +(-1.72259e8 + 2.98361e8i) q^{76} +(-2.18014e8 - 3.77611e8i) q^{77} +2.68502e7 q^{78} +(-2.38346e8 - 4.12827e8i) q^{79} +(-2.44013e8 + 4.22643e8i) q^{80} +(1.58741e8 - 2.74947e8i) q^{81} +6.23206e7 q^{82} +(-1.45319e8 + 2.51700e8i) q^{83} +4.95268e8 q^{84} +1.32348e8 q^{85} +(-5.69850e7 + 4.75624e7i) q^{86} +6.08330e8 q^{87} -1.90676e8 q^{88} +(2.84452e8 - 4.92685e8i) q^{89} -2.02343e7 q^{90} +(2.41313e8 - 4.17967e8i) q^{91} +(4.69534e7 - 8.13256e7i) q^{92} +(-5.41198e7 - 9.37383e7i) q^{93} +1.39801e8 q^{94} +(6.83649e8 + 1.18412e9i) q^{95} +(1.63023e8 - 2.82363e8i) q^{96} +2.47038e8 q^{97} +(-3.05826e7 + 5.29706e7i) q^{98} +(8.73600e7 + 1.51312e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.31091 0.146323 0.0731614 0.997320i \(-0.476691\pi\)
0.0731614 + 0.997320i \(0.476691\pi\)
\(3\) 64.4391 111.612i 0.459308 0.795545i −0.539617 0.841911i \(-0.681431\pi\)
0.998925 + 0.0463661i \(0.0147641\pi\)
\(4\) −501.038 −0.978590
\(5\) −994.242 + 1722.08i −0.711421 + 1.23222i 0.252902 + 0.967492i \(0.418615\pi\)
−0.964324 + 0.264726i \(0.914718\pi\)
\(6\) 213.352 369.536i 0.0672072 0.116406i
\(7\) −3834.95 6642.33i −0.603697 1.04563i −0.992256 0.124210i \(-0.960360\pi\)
0.388559 0.921424i \(-0.372973\pi\)
\(8\) −3354.07 −0.289513
\(9\) 1536.70 + 2661.64i 0.0780723 + 0.135225i
\(10\) −3291.84 + 5701.64i −0.104097 + 0.180302i
\(11\) 56849.2 1.17073 0.585366 0.810769i \(-0.300951\pi\)
0.585366 + 0.810769i \(0.300951\pi\)
\(12\) −32286.4 + 55921.8i −0.449474 + 0.778512i
\(13\) 31462.4 + 54494.4i 0.305525 + 0.529184i 0.977378 0.211500i \(-0.0678349\pi\)
−0.671853 + 0.740684i \(0.734502\pi\)
\(14\) −12697.2 21992.1i −0.0883346 0.153000i
\(15\) 128136. + 221938.i 0.653523 + 1.13194i
\(16\) 245426. 0.936227
\(17\) −33278.7 57640.4i −0.0966376 0.167381i 0.813653 0.581350i \(-0.197475\pi\)
−0.910291 + 0.413969i \(0.864142\pi\)
\(18\) 5087.86 + 8812.43i 0.0114238 + 0.0197865i
\(19\) 343804. 595487.i 0.605230 1.04829i −0.386785 0.922170i \(-0.626415\pi\)
0.992015 0.126119i \(-0.0402521\pi\)
\(20\) 498153. 862826.i 0.696190 1.20584i
\(21\) −988484. −1.10913
\(22\) 188222. 0.171305
\(23\) −93712.2 + 162314.i −0.0698266 + 0.120943i −0.898825 0.438308i \(-0.855578\pi\)
0.828998 + 0.559251i \(0.188911\pi\)
\(24\) −216134. + 374354.i −0.132976 + 0.230320i
\(25\) −1.00047e6 1.73287e6i −0.512241 0.887227i
\(26\) 104169. + 180426.i 0.0447052 + 0.0774317i
\(27\) 2.93280e6 1.06205
\(28\) 1.92146e6 + 3.32806e6i 0.590771 + 1.02325i
\(29\) 2.36009e6 + 4.08780e6i 0.619638 + 1.07325i 0.989552 + 0.144179i \(0.0460540\pi\)
−0.369913 + 0.929066i \(0.620613\pi\)
\(30\) 424247. + 734817.i 0.0956253 + 0.165628i
\(31\) 419930. 727340.i 0.0816675 0.141452i −0.822299 0.569056i \(-0.807309\pi\)
0.903966 + 0.427604i \(0.140642\pi\)
\(32\) 2.52987e6 0.426504
\(33\) 3.66331e6 6.34504e6i 0.537726 0.931369i
\(34\) −110183. 190842.i −0.0141403 0.0244917i
\(35\) 1.52515e7 1.71793
\(36\) −769944. 1.33358e6i −0.0764008 0.132330i
\(37\) −1.90633e6 + 3.30187e6i −0.167221 + 0.289635i −0.937442 0.348142i \(-0.886813\pi\)
0.770221 + 0.637777i \(0.220146\pi\)
\(38\) 1.13830e6 1.97160e6i 0.0885589 0.153389i
\(39\) 8.10963e6 0.561320
\(40\) 3.33476e6 5.77597e6i 0.205966 0.356743i
\(41\) 1.88228e7 1.04030 0.520149 0.854076i \(-0.325876\pi\)
0.520149 + 0.854076i \(0.325876\pi\)
\(42\) −3.27278e6 −0.162291
\(43\) −1.72113e7 + 1.43654e7i −0.767725 + 0.640780i
\(44\) −2.84836e7 −1.14567
\(45\) −6.11139e6 −0.222169
\(46\) −310272. + 537408.i −0.0102172 + 0.0176968i
\(47\) 4.22243e7 1.26218 0.631091 0.775709i \(-0.282607\pi\)
0.631091 + 0.775709i \(0.282607\pi\)
\(48\) 1.58151e7 2.73925e7i 0.430017 0.744811i
\(49\) −9.23692e6 + 1.59988e7i −0.228899 + 0.396465i
\(50\) −3.31246e6 5.73735e6i −0.0749525 0.129822i
\(51\) −8.57780e6 −0.177546
\(52\) −1.57638e7 2.73038e7i −0.298983 0.517854i
\(53\) 1.81246e7 3.13927e7i 0.315519 0.546496i −0.664028 0.747707i \(-0.731155\pi\)
0.979548 + 0.201212i \(0.0644879\pi\)
\(54\) 9.71024e6 0.155403
\(55\) −5.65218e7 + 9.78987e7i −0.832883 + 1.44260i
\(56\) 1.28627e7 + 2.22789e7i 0.174778 + 0.302724i
\(57\) −4.43089e7 7.67453e7i −0.555974 0.962975i
\(58\) 7.81405e6 + 1.35343e7i 0.0906672 + 0.157040i
\(59\) 907779. 0.00975318 0.00487659 0.999988i \(-0.498448\pi\)
0.00487659 + 0.999988i \(0.498448\pi\)
\(60\) −6.42011e7 1.11199e8i −0.639531 1.10770i
\(61\) 8.54692e7 + 1.48037e8i 0.790361 + 1.36895i 0.925744 + 0.378152i \(0.123440\pi\)
−0.135383 + 0.990793i \(0.543226\pi\)
\(62\) 1.39035e6 2.40815e6i 0.0119498 0.0206977i
\(63\) 1.17863e7 2.04145e7i 0.0942640 0.163270i
\(64\) −1.17282e8 −0.873820
\(65\) −1.25125e8 −0.869427
\(66\) 1.21289e7 2.10078e7i 0.0786816 0.136281i
\(67\) −6.89148e7 + 1.19364e8i −0.417807 + 0.723663i −0.995719 0.0924364i \(-0.970535\pi\)
0.577912 + 0.816099i \(0.303868\pi\)
\(68\) 1.66739e7 + 2.88800e7i 0.0945686 + 0.163798i
\(69\) 1.20775e7 + 2.09188e7i 0.0641439 + 0.111100i
\(70\) 5.04962e7 0.251372
\(71\) 1.65415e8 + 2.86506e8i 0.772522 + 1.33805i 0.936177 + 0.351530i \(0.114339\pi\)
−0.163654 + 0.986518i \(0.552328\pi\)
\(72\) −5.15420e6 8.92733e6i −0.0226029 0.0391494i
\(73\) −2.35026e8 4.07078e8i −0.968643 1.67774i −0.699491 0.714641i \(-0.746590\pi\)
−0.269152 0.963098i \(-0.586743\pi\)
\(74\) −6.31169e6 + 1.09322e7i −0.0244682 + 0.0423802i
\(75\) −2.57878e8 −0.941105
\(76\) −1.72259e8 + 2.98361e8i −0.592272 + 1.02584i
\(77\) −2.18014e8 3.77611e8i −0.706767 1.22416i
\(78\) 2.68502e7 0.0821338
\(79\) −2.38346e8 4.12827e8i −0.688471 1.19247i −0.972332 0.233602i \(-0.924949\pi\)
0.283861 0.958865i \(-0.408384\pi\)
\(80\) −2.44013e8 + 4.22643e8i −0.666052 + 1.15364i
\(81\) 1.58741e8 2.74947e8i 0.409737 0.709685i
\(82\) 6.23206e7 0.152219
\(83\) −1.45319e8 + 2.51700e8i −0.336102 + 0.582146i −0.983696 0.179840i \(-0.942442\pi\)
0.647594 + 0.761986i \(0.275775\pi\)
\(84\) 4.95268e8 1.08538
\(85\) 1.32348e8 0.275000
\(86\) −5.69850e7 + 4.75624e7i −0.112336 + 0.0937606i
\(87\) 6.08330e8 1.13842
\(88\) −1.90676e8 −0.338942
\(89\) 2.84452e8 4.92685e8i 0.480567 0.832366i −0.519185 0.854662i \(-0.673764\pi\)
0.999751 + 0.0222960i \(0.00709764\pi\)
\(90\) −2.02343e7 −0.0325084
\(91\) 2.41313e8 4.17967e8i 0.368888 0.638933i
\(92\) 4.69534e7 8.13256e7i 0.0683316 0.118354i
\(93\) −5.41198e7 9.37383e7i −0.0750210 0.129940i
\(94\) 1.39801e8 0.184686
\(95\) 6.83649e8 + 1.18412e9i 0.861147 + 1.49155i
\(96\) 1.63023e8 2.82363e8i 0.195897 0.339303i
\(97\) 2.47038e8 0.283328 0.141664 0.989915i \(-0.454755\pi\)
0.141664 + 0.989915i \(0.454755\pi\)
\(98\) −3.05826e7 + 5.29706e7i −0.0334932 + 0.0580119i
\(99\) 8.73600e7 + 1.51312e8i 0.0914017 + 0.158312i
\(100\) 5.01273e8 + 8.68231e8i 0.501273 + 0.868231i
\(101\) 4.95284e8 + 8.57857e8i 0.473596 + 0.820293i 0.999543 0.0302246i \(-0.00962224\pi\)
−0.525947 + 0.850517i \(0.676289\pi\)
\(102\) −2.84003e7 −0.0259790
\(103\) 8.17264e8 + 1.41554e9i 0.715476 + 1.23924i 0.962776 + 0.270301i \(0.0871233\pi\)
−0.247300 + 0.968939i \(0.579543\pi\)
\(104\) −1.05527e8 1.82778e8i −0.0884533 0.153206i
\(105\) 9.82792e8 1.70225e9i 0.789059 1.36669i
\(106\) 6.00087e7 1.03938e8i 0.0461677 0.0799648i
\(107\) −1.18869e8 −0.0876684 −0.0438342 0.999039i \(-0.513957\pi\)
−0.0438342 + 0.999039i \(0.513957\pi\)
\(108\) −1.46945e9 −1.03931
\(109\) 2.47824e8 4.29244e8i 0.168161 0.291263i −0.769612 0.638511i \(-0.779551\pi\)
0.937773 + 0.347248i \(0.112884\pi\)
\(110\) −1.87138e8 + 3.24133e8i −0.121870 + 0.211085i
\(111\) 2.45685e8 + 4.25539e8i 0.153612 + 0.266064i
\(112\) −9.41199e8 1.63020e9i −0.565197 0.978951i
\(113\) 2.23619e8 0.129020 0.0645098 0.997917i \(-0.479452\pi\)
0.0645098 + 0.997917i \(0.479452\pi\)
\(114\) −1.46703e8 2.54096e8i −0.0813516 0.140905i
\(115\) −1.86345e8 3.22759e8i −0.0993523 0.172083i
\(116\) −1.18250e9 2.04814e9i −0.606372 1.05027i
\(117\) −9.66962e7 + 1.67483e8i −0.0477060 + 0.0826293i
\(118\) 3.00557e6 0.00142711
\(119\) −2.55245e8 + 4.42096e8i −0.116680 + 0.202095i
\(120\) −4.29778e8 7.44397e8i −0.189203 0.327710i
\(121\) 8.73882e8 0.370611
\(122\) 2.82981e8 + 4.90137e8i 0.115648 + 0.200308i
\(123\) 1.21293e9 2.10085e9i 0.477817 0.827603i
\(124\) −2.10401e8 + 3.64425e8i −0.0799189 + 0.138424i
\(125\) 9.50801e7 0.0348333
\(126\) 3.90234e7 6.75905e7i 0.0137930 0.0238901i
\(127\) 4.36338e9 1.48836 0.744178 0.667981i \(-0.232841\pi\)
0.744178 + 0.667981i \(0.232841\pi\)
\(128\) −1.68360e9 −0.554364
\(129\) 4.94264e8 + 2.84668e9i 0.157147 + 0.905075i
\(130\) −4.14276e8 −0.127217
\(131\) 3.54118e9 1.05058 0.525288 0.850924i \(-0.323958\pi\)
0.525288 + 0.850924i \(0.323958\pi\)
\(132\) −1.83546e9 + 3.17911e9i −0.526213 + 0.911428i
\(133\) −5.27389e9 −1.46150
\(134\) −2.28170e8 + 3.95203e8i −0.0611347 + 0.105888i
\(135\) −2.91592e9 + 5.05052e9i −0.755567 + 1.30868i
\(136\) 1.11619e8 + 1.93330e8i 0.0279778 + 0.0484590i
\(137\) −3.49659e9 −0.848012 −0.424006 0.905659i \(-0.639376\pi\)
−0.424006 + 0.905659i \(0.639376\pi\)
\(138\) 3.99874e7 + 6.92602e7i 0.00938571 + 0.0162565i
\(139\) 1.00485e9 1.74044e9i 0.228314 0.395452i −0.728994 0.684520i \(-0.760012\pi\)
0.957309 + 0.289068i \(0.0933453\pi\)
\(140\) −7.64157e9 −1.68115
\(141\) 2.72090e9 4.71273e9i 0.579730 1.00412i
\(142\) 5.47672e8 + 9.48596e8i 0.113038 + 0.195787i
\(143\) 1.78861e9 + 3.09796e9i 0.357687 + 0.619532i
\(144\) 3.77146e8 + 6.53236e8i 0.0730934 + 0.126602i
\(145\) −9.38601e9 −1.76330
\(146\) −7.78150e8 1.34780e9i −0.141735 0.245491i
\(147\) 1.19044e9 + 2.06190e9i 0.210271 + 0.364200i
\(148\) 9.55145e8 1.65436e9i 0.163641 0.283434i
\(149\) 5.60039e9 9.70016e9i 0.930851 1.61228i 0.148981 0.988840i \(-0.452401\pi\)
0.781870 0.623441i \(-0.214266\pi\)
\(150\) −8.53809e8 −0.137705
\(151\) −4.42969e8 −0.0693389 −0.0346695 0.999399i \(-0.511038\pi\)
−0.0346695 + 0.999399i \(0.511038\pi\)
\(152\) −1.15315e9 + 1.99731e9i −0.175222 + 0.303493i
\(153\) 1.02279e8 1.77152e8i 0.0150894 0.0261357i
\(154\) −7.21824e8 1.25024e9i −0.103416 0.179122i
\(155\) 8.35023e8 + 1.44630e9i 0.116200 + 0.201264i
\(156\) −4.06323e9 −0.549301
\(157\) −8.33743e8 1.44409e9i −0.109518 0.189690i 0.806057 0.591837i \(-0.201597\pi\)
−0.915575 + 0.402147i \(0.868264\pi\)
\(158\) −7.89141e8 1.36683e9i −0.100739 0.174485i
\(159\) −2.33586e9 4.04583e9i −0.289841 0.502020i
\(160\) −2.51530e9 + 4.35663e9i −0.303424 + 0.525546i
\(161\) 1.43753e9 0.168616
\(162\) 5.25575e8 9.10323e8i 0.0599539 0.103843i
\(163\) 5.88539e9 + 1.01938e10i 0.653026 + 1.13107i 0.982385 + 0.186870i \(0.0598343\pi\)
−0.329358 + 0.944205i \(0.606832\pi\)
\(164\) −9.43095e9 −1.01802
\(165\) 7.28443e9 + 1.26170e10i 0.765100 + 1.32519i
\(166\) −4.81138e8 + 8.33355e8i −0.0491794 + 0.0851811i
\(167\) 7.09325e9 1.22859e10i 0.705702 1.22231i −0.260736 0.965410i \(-0.583965\pi\)
0.966438 0.256902i \(-0.0827016\pi\)
\(168\) 3.31545e9 0.321108
\(169\) 3.32249e9 5.75472e9i 0.313309 0.542668i
\(170\) 4.38193e8 0.0402388
\(171\) 2.11329e9 0.189007
\(172\) 8.62351e9 7.19759e9i 0.751288 0.627060i
\(173\) −1.19895e10 −1.01764 −0.508819 0.860873i \(-0.669918\pi\)
−0.508819 + 0.860873i \(0.669918\pi\)
\(174\) 2.01412e9 0.166577
\(175\) −7.67351e9 + 1.32909e10i −0.618476 + 1.07123i
\(176\) 1.39523e10 1.09607
\(177\) 5.84965e7 1.01319e8i 0.00447971 0.00775909i
\(178\) 9.41793e8 1.63123e9i 0.0703179 0.121794i
\(179\) −6.66820e9 1.15497e10i −0.485478 0.840873i 0.514382 0.857561i \(-0.328021\pi\)
−0.999861 + 0.0166878i \(0.994688\pi\)
\(180\) 3.06204e9 0.217413
\(181\) 5.71473e9 + 9.89821e9i 0.395770 + 0.685493i 0.993199 0.116428i \(-0.0371446\pi\)
−0.597429 + 0.801921i \(0.703811\pi\)
\(182\) 7.98966e8 1.38385e9i 0.0539768 0.0934905i
\(183\) 2.20302e10 1.45208
\(184\) 3.14318e8 5.44414e8i 0.0202157 0.0350146i
\(185\) −3.79071e9 6.56570e9i −0.237929 0.412106i
\(186\) −1.79186e8 3.10359e8i −0.0109773 0.0190132i
\(187\) −1.89187e9 3.27681e9i −0.113137 0.195958i
\(188\) −2.11560e10 −1.23516
\(189\) −1.12472e10 1.94807e10i −0.641158 1.11052i
\(190\) 2.26350e9 + 3.92050e9i 0.126005 + 0.218248i
\(191\) 2.33068e9 4.03685e9i 0.126716 0.219479i −0.795686 0.605709i \(-0.792890\pi\)
0.922402 + 0.386230i \(0.126223\pi\)
\(192\) −7.55756e9 + 1.30901e10i −0.401353 + 0.695163i
\(193\) 2.25931e10 1.17211 0.586054 0.810272i \(-0.300681\pi\)
0.586054 + 0.810272i \(0.300681\pi\)
\(194\) 8.17918e8 0.0414574
\(195\) −8.06293e9 + 1.39654e10i −0.399335 + 0.691668i
\(196\) 4.62805e9 8.01601e9i 0.223999 0.387977i
\(197\) 1.45621e10 + 2.52223e10i 0.688852 + 1.19313i 0.972210 + 0.234113i \(0.0752184\pi\)
−0.283357 + 0.959014i \(0.591448\pi\)
\(198\) 2.89241e8 + 5.00980e8i 0.0133741 + 0.0231647i
\(199\) 2.96038e10 1.33816 0.669082 0.743189i \(-0.266688\pi\)
0.669082 + 0.743189i \(0.266688\pi\)
\(200\) 3.35565e9 + 5.81216e9i 0.148300 + 0.256864i
\(201\) 8.88162e9 + 1.53834e10i 0.383804 + 0.664768i
\(202\) 1.63984e9 + 2.84029e9i 0.0692979 + 0.120028i
\(203\) 1.81017e10 3.13531e10i 0.748147 1.29583i
\(204\) 4.29780e9 0.173744
\(205\) −1.87144e10 + 3.24144e10i −0.740090 + 1.28187i
\(206\) 2.70588e9 + 4.68673e9i 0.104690 + 0.181329i
\(207\) −5.76029e8 −0.0218061
\(208\) 7.72169e9 + 1.33744e10i 0.286040 + 0.495437i
\(209\) 1.95450e10 3.38529e10i 0.708561 1.22726i
\(210\) 3.25393e9 5.63598e9i 0.115457 0.199978i
\(211\) −4.61802e10 −1.60393 −0.801964 0.597373i \(-0.796211\pi\)
−0.801964 + 0.597373i \(0.796211\pi\)
\(212\) −9.08109e9 + 1.57289e10i −0.308764 + 0.534795i
\(213\) 4.26367e10 1.41930
\(214\) −3.93565e8 −0.0128279
\(215\) −7.62608e9 4.39218e10i −0.243404 1.40187i
\(216\) −9.83684e9 −0.307478
\(217\) −6.44164e9 −0.197210
\(218\) 8.20523e8 1.42119e9i 0.0246058 0.0426184i
\(219\) −6.05796e10 −1.77962
\(220\) 2.83196e10 4.90509e10i 0.815051 1.41171i
\(221\) 2.09405e9 3.62701e9i 0.0590503 0.102278i
\(222\) 8.13440e8 + 1.40892e9i 0.0224769 + 0.0389312i
\(223\) 8.24153e9 0.223170 0.111585 0.993755i \(-0.464407\pi\)
0.111585 + 0.993755i \(0.464407\pi\)
\(224\) −9.70193e9 1.68042e10i −0.257479 0.445967i
\(225\) 3.07484e9 5.32578e9i 0.0799836 0.138536i
\(226\) 7.40382e8 0.0188785
\(227\) −3.27287e10 + 5.66878e10i −0.818112 + 1.41701i 0.0889591 + 0.996035i \(0.471646\pi\)
−0.907071 + 0.420977i \(0.861687\pi\)
\(228\) 2.22004e10 + 3.84523e10i 0.544070 + 0.942357i
\(229\) −2.09177e10 3.62305e10i −0.502636 0.870591i −0.999995 0.00304642i \(-0.999030\pi\)
0.497359 0.867545i \(-0.334303\pi\)
\(230\) −6.16972e8 1.06863e9i −0.0145375 0.0251797i
\(231\) −5.61945e10 −1.29849
\(232\) −7.91593e9 1.37108e10i −0.179393 0.310718i
\(233\) −2.33396e10 4.04253e10i −0.518790 0.898570i −0.999762 0.0218342i \(-0.993049\pi\)
0.480972 0.876736i \(-0.340284\pi\)
\(234\) −3.20152e8 + 5.54520e8i −0.00698048 + 0.0120905i
\(235\) −4.19812e10 + 7.27135e10i −0.897943 + 1.55528i
\(236\) −4.54832e8 −0.00954436
\(237\) −6.14352e10 −1.26488
\(238\) −8.45091e8 + 1.46374e9i −0.0170729 + 0.0295711i
\(239\) −1.34118e10 + 2.32299e10i −0.265887 + 0.460530i −0.967796 0.251737i \(-0.918998\pi\)
0.701909 + 0.712267i \(0.252331\pi\)
\(240\) 3.14480e10 + 5.44695e10i 0.611846 + 1.05975i
\(241\) −1.22263e10 2.11766e10i −0.233463 0.404371i 0.725362 0.688368i \(-0.241673\pi\)
−0.958825 + 0.283998i \(0.908339\pi\)
\(242\) 2.89334e9 0.0542289
\(243\) 8.40499e9 + 1.45579e10i 0.154635 + 0.267836i
\(244\) −4.28233e10 7.41721e10i −0.773439 1.33964i
\(245\) −1.83675e10 3.18134e10i −0.325688 0.564108i
\(246\) 4.01589e9 6.95572e9i 0.0699155 0.121097i
\(247\) 4.32676e10 0.739650
\(248\) −1.40848e9 + 2.43955e9i −0.0236438 + 0.0409522i
\(249\) 1.87285e10 + 3.24386e10i 0.308749 + 0.534768i
\(250\) 3.14801e8 0.00509690
\(251\) 4.90314e10 + 8.49248e10i 0.779726 + 1.35053i 0.932099 + 0.362202i \(0.117975\pi\)
−0.152373 + 0.988323i \(0.548692\pi\)
\(252\) −5.90539e9 + 1.02284e10i −0.0922458 + 0.159774i
\(253\) −5.32746e9 + 9.22744e9i −0.0817482 + 0.141592i
\(254\) 1.44468e10 0.217780
\(255\) 8.52841e9 1.47716e10i 0.126310 0.218775i
\(256\) 5.44742e10 0.792704
\(257\) −7.09042e10 −1.01385 −0.506924 0.861991i \(-0.669217\pi\)
−0.506924 + 0.861991i \(0.669217\pi\)
\(258\) 1.63646e9 + 9.42508e9i 0.0229941 + 0.132433i
\(259\) 2.92428e10 0.403803
\(260\) 6.26922e10 0.850812
\(261\) −7.25350e9 + 1.25634e10i −0.0967532 + 0.167581i
\(262\) 1.17245e10 0.153723
\(263\) 1.63361e9 2.82950e9i 0.0210547 0.0364678i −0.855306 0.518123i \(-0.826631\pi\)
0.876361 + 0.481655i \(0.159964\pi\)
\(264\) −1.22870e10 + 2.12817e10i −0.155679 + 0.269643i
\(265\) 3.60404e10 + 6.24238e10i 0.448935 + 0.777578i
\(266\) −1.74614e10 −0.213851
\(267\) −3.66597e10 6.34964e10i −0.441456 0.764625i
\(268\) 3.45289e10 5.98058e10i 0.408862 0.708169i
\(269\) 7.04007e10 0.819770 0.409885 0.912137i \(-0.365569\pi\)
0.409885 + 0.912137i \(0.365569\pi\)
\(270\) −9.65433e9 + 1.67218e10i −0.110557 + 0.191490i
\(271\) −3.95699e10 6.85371e10i −0.445659 0.771905i 0.552438 0.833554i \(-0.313697\pi\)
−0.998098 + 0.0616489i \(0.980364\pi\)
\(272\) −8.16747e9 1.41465e10i −0.0904748 0.156707i
\(273\) −3.11000e10 5.38668e10i −0.338867 0.586934i
\(274\) −1.15769e10 −0.124083
\(275\) −5.68759e10 9.85120e10i −0.599696 1.03870i
\(276\) −6.05127e9 1.04811e10i −0.0627705 0.108722i
\(277\) −4.80149e10 + 8.31642e10i −0.490023 + 0.848745i −0.999934 0.0114821i \(-0.996345\pi\)
0.509911 + 0.860227i \(0.329678\pi\)
\(278\) 3.32695e9 5.76245e9i 0.0334076 0.0578636i
\(279\) 2.58122e9 0.0255039
\(280\) −5.11546e10 −0.497363
\(281\) −3.70733e10 + 6.42128e10i −0.354717 + 0.614389i −0.987070 0.160293i \(-0.948756\pi\)
0.632352 + 0.774681i \(0.282090\pi\)
\(282\) 9.00864e9 1.56034e10i 0.0848278 0.146926i
\(283\) 7.94084e10 + 1.37539e11i 0.735915 + 1.27464i 0.954321 + 0.298784i \(0.0965811\pi\)
−0.218406 + 0.975858i \(0.570086\pi\)
\(284\) −8.28790e10 1.43551e11i −0.755982 1.30940i
\(285\) 1.76215e11 1.58213
\(286\) 5.92192e9 + 1.02571e10i 0.0523378 + 0.0906517i
\(287\) −7.21847e10 1.25028e11i −0.628024 1.08777i
\(288\) 3.88764e9 + 6.73360e9i 0.0332982 + 0.0576741i
\(289\) 5.70790e10 9.88637e10i 0.481322 0.833675i
\(290\) −3.10762e10 −0.258010
\(291\) 1.59189e10 2.75723e10i 0.130135 0.225400i
\(292\) 1.17757e11 + 2.03961e11i 0.947904 + 1.64182i
\(293\) −3.24174e10 −0.256965 −0.128482 0.991712i \(-0.541011\pi\)
−0.128482 + 0.991712i \(0.541011\pi\)
\(294\) 3.94143e9 + 6.82675e9i 0.0307674 + 0.0532907i
\(295\) −9.02552e8 + 1.56327e9i −0.00693862 + 0.0120180i
\(296\) 6.39398e9 1.10747e10i 0.0484126 0.0838531i
\(297\) 1.66728e11 1.24338
\(298\) 1.85424e10 3.21163e10i 0.136205 0.235913i
\(299\) −1.17936e10 −0.0853350
\(300\) 1.29207e11 0.920956
\(301\) 1.61424e11 + 5.92327e10i 1.13349 + 0.415922i
\(302\) −1.46663e9 −0.0101459
\(303\) 1.27663e11 0.870106
\(304\) 8.43787e10 1.46148e11i 0.566633 0.981437i
\(305\) −3.39908e11 −2.24912
\(306\) 3.38635e8 5.86533e8i 0.00220793 0.00382425i
\(307\) −1.28355e11 + 2.22317e11i −0.824686 + 1.42840i 0.0774736 + 0.996994i \(0.475315\pi\)
−0.902159 + 0.431403i \(0.858019\pi\)
\(308\) 1.09233e11 + 1.89198e11i 0.691634 + 1.19795i
\(309\) 2.10655e11 1.31449
\(310\) 2.76468e9 + 4.78857e9i 0.0170027 + 0.0294495i
\(311\) 1.38225e11 2.39412e11i 0.837845 1.45119i −0.0538478 0.998549i \(-0.517149\pi\)
0.891693 0.452641i \(-0.149518\pi\)
\(312\) −2.72003e10 −0.162509
\(313\) −7.46755e10 + 1.29342e11i −0.439773 + 0.761709i −0.997672 0.0681998i \(-0.978274\pi\)
0.557899 + 0.829909i \(0.311608\pi\)
\(314\) −2.76045e9 4.78123e9i −0.0160249 0.0277560i
\(315\) 2.34369e10 + 4.05939e10i 0.134123 + 0.232308i
\(316\) 1.19420e11 + 2.06842e11i 0.673731 + 1.16694i
\(317\) −2.99207e11 −1.66420 −0.832099 0.554627i \(-0.812861\pi\)
−0.832099 + 0.554627i \(0.812861\pi\)
\(318\) −7.73382e9 1.33954e10i −0.0424104 0.0734569i
\(319\) 1.34169e11 + 2.32388e11i 0.725430 + 1.25648i
\(320\) 1.16607e11 2.01969e11i 0.621654 1.07674i
\(321\) −7.65984e9 + 1.32672e10i −0.0402668 + 0.0697441i
\(322\) 4.75952e9 0.0246724
\(323\) −4.57655e10 −0.233952
\(324\) −7.95350e10 + 1.37759e11i −0.400964 + 0.694491i
\(325\) 6.29543e10 1.09040e11i 0.313004 0.542139i
\(326\) 1.94860e10 + 3.37507e10i 0.0955526 + 0.165502i
\(327\) −3.19392e10 5.53203e10i −0.154475 0.267559i
\(328\) −6.31332e10 −0.301179
\(329\) −1.61928e11 2.80468e11i −0.761975 1.31978i
\(330\) 2.41181e10 + 4.17737e10i 0.111952 + 0.193906i
\(331\) −1.66108e11 2.87708e11i −0.760615 1.31742i −0.942534 0.334110i \(-0.891564\pi\)
0.181919 0.983314i \(-0.441769\pi\)
\(332\) 7.28103e10 1.26111e11i 0.328906 0.569682i
\(333\) −1.17178e10 −0.0522213
\(334\) 2.34851e10 4.06774e10i 0.103260 0.178852i
\(335\) −1.37036e11 2.37353e11i −0.594474 1.02966i
\(336\) −2.42600e11 −1.03840
\(337\) 1.66268e11 + 2.87985e11i 0.702223 + 1.21629i 0.967684 + 0.252165i \(0.0811424\pi\)
−0.265461 + 0.964122i \(0.585524\pi\)
\(338\) 1.10005e10 1.90533e10i 0.0458443 0.0794047i
\(339\) 1.44098e10 2.49585e10i 0.0592597 0.102641i
\(340\) −6.63115e10 −0.269112
\(341\) 2.38727e10 4.13487e10i 0.0956106 0.165603i
\(342\) 6.99692e9 0.0276560
\(343\) −1.67816e11 −0.654650
\(344\) 5.77280e10 4.81825e10i 0.222266 0.185514i
\(345\) −4.80317e10 −0.182533
\(346\) −3.96961e10 −0.148904
\(347\) −2.68745e10 + 4.65481e10i −0.0995081 + 0.172353i −0.911481 0.411342i \(-0.865060\pi\)
0.811973 + 0.583695i \(0.198394\pi\)
\(348\) −3.04796e11 −1.11405
\(349\) −1.48804e11 + 2.57736e11i −0.536907 + 0.929951i 0.462161 + 0.886796i \(0.347074\pi\)
−0.999068 + 0.0431547i \(0.986259\pi\)
\(350\) −2.54063e10 + 4.40050e10i −0.0904971 + 0.156746i
\(351\) 9.22729e10 + 1.59821e11i 0.324483 + 0.562022i
\(352\) 1.43821e11 0.499322
\(353\) −2.49245e11 4.31705e11i −0.854358 1.47979i −0.877239 0.480054i \(-0.840617\pi\)
0.0228804 0.999738i \(-0.492716\pi\)
\(354\) 1.93676e8 3.35457e8i 0.000655484 0.00113533i
\(355\) −6.57848e11 −2.19836
\(356\) −1.42521e11 + 2.46854e11i −0.470278 + 0.814545i
\(357\) 3.28955e10 + 5.69766e10i 0.107184 + 0.185648i
\(358\) −2.20778e10 3.82398e10i −0.0710365 0.123039i
\(359\) 9.52366e10 + 1.64955e11i 0.302607 + 0.524131i 0.976726 0.214492i \(-0.0688097\pi\)
−0.674119 + 0.738623i \(0.735476\pi\)
\(360\) 2.04981e10 0.0643208
\(361\) −7.50591e10 1.30006e11i −0.232606 0.402886i
\(362\) 1.89209e10 + 3.27720e10i 0.0579101 + 0.100303i
\(363\) 5.63122e10 9.75356e10i 0.170225 0.294838i
\(364\) −1.20907e11 + 2.09417e11i −0.360990 + 0.625254i
\(365\) 9.34692e11 2.75645
\(366\) 7.29401e10 0.212472
\(367\) −2.40730e10 + 4.16957e10i −0.0692681 + 0.119976i −0.898579 0.438811i \(-0.855400\pi\)
0.829311 + 0.558787i \(0.188733\pi\)
\(368\) −2.29995e10 + 3.98362e10i −0.0653736 + 0.113230i
\(369\) 2.89250e10 + 5.00996e10i 0.0812184 + 0.140674i
\(370\) −1.25507e10 2.17384e10i −0.0348145 0.0603004i
\(371\) −2.78027e11 −0.761912
\(372\) 2.71161e10 + 4.69664e10i 0.0734148 + 0.127158i
\(373\) 1.76144e11 + 3.05090e11i 0.471170 + 0.816091i 0.999456 0.0329757i \(-0.0104984\pi\)
−0.528286 + 0.849067i \(0.677165\pi\)
\(374\) −6.26380e9 1.08492e10i −0.0165545 0.0286732i
\(375\) 6.12688e9 1.06121e10i 0.0159992 0.0277114i
\(376\) −1.41623e11 −0.365418
\(377\) −1.48508e11 + 2.57224e11i −0.378629 + 0.655805i
\(378\) −3.72383e10 6.44987e10i −0.0938160 0.162494i
\(379\) 2.95857e11 0.736554 0.368277 0.929716i \(-0.379948\pi\)
0.368277 + 0.929716i \(0.379948\pi\)
\(380\) −3.42534e11 5.93287e11i −0.842709 1.45962i
\(381\) 2.81173e11 4.87005e11i 0.683614 1.18405i
\(382\) 7.71666e9 1.33656e10i 0.0185415 0.0321148i
\(383\) −5.48055e11 −1.30146 −0.650729 0.759310i \(-0.725536\pi\)
−0.650729 + 0.759310i \(0.725536\pi\)
\(384\) −1.08490e11 + 1.87910e11i −0.254624 + 0.441021i
\(385\) 8.67034e11 2.01124
\(386\) 7.48035e10 0.171506
\(387\) −6.46840e10 2.37350e10i −0.146588 0.0537886i
\(388\) −1.23775e11 −0.277262
\(389\) −3.10866e11 −0.688335 −0.344168 0.938908i \(-0.611839\pi\)
−0.344168 + 0.938908i \(0.611839\pi\)
\(390\) −2.66956e10 + 4.62381e10i −0.0584318 + 0.101207i
\(391\) 1.24745e10 0.0269915
\(392\) 3.09813e10 5.36612e10i 0.0662693 0.114782i
\(393\) 2.28191e11 3.95238e11i 0.482538 0.835781i
\(394\) 4.82138e10 + 8.35087e10i 0.100795 + 0.174582i
\(395\) 9.47893e11 1.95917
\(396\) −4.37707e10 7.58130e10i −0.0894448 0.154923i
\(397\) −1.36772e11 + 2.36897e11i −0.276338 + 0.478632i −0.970472 0.241214i \(-0.922454\pi\)
0.694134 + 0.719846i \(0.255788\pi\)
\(398\) 9.80155e10 0.195804
\(399\) −3.39845e11 + 5.88629e11i −0.671279 + 1.16269i
\(400\) −2.45542e11 4.25291e11i −0.479574 0.830646i
\(401\) 2.32914e11 + 4.03418e11i 0.449827 + 0.779123i 0.998374 0.0569966i \(-0.0181524\pi\)
−0.548548 + 0.836119i \(0.684819\pi\)
\(402\) 2.94062e10 + 5.09330e10i 0.0561593 + 0.0972708i
\(403\) 5.28479e10 0.0998057
\(404\) −2.48156e11 4.29819e11i −0.463456 0.802730i
\(405\) 3.15653e11 + 5.46727e11i 0.582991 + 1.00977i
\(406\) 5.99330e10 1.03807e11i 0.109471 0.189609i
\(407\) −1.08373e11 + 1.87708e11i −0.195771 + 0.339085i
\(408\) 2.87706e10 0.0514018
\(409\) 5.79175e11 1.02342 0.511711 0.859158i \(-0.329012\pi\)
0.511711 + 0.859158i \(0.329012\pi\)
\(410\) −6.19618e10 + 1.07321e11i −0.108292 + 0.187567i
\(411\) −2.25317e11 + 3.90261e11i −0.389499 + 0.674631i
\(412\) −4.09480e11 7.09241e11i −0.700157 1.21271i
\(413\) −3.48129e9 6.02977e9i −0.00588796 0.0101982i
\(414\) −1.90718e9 −0.00319073
\(415\) −2.88964e11 5.00501e11i −0.478220 0.828302i
\(416\) 7.95957e10 + 1.37864e11i 0.130307 + 0.225699i
\(417\) −1.29503e11 2.24305e11i −0.209733 0.363268i
\(418\) 6.47117e10 1.12084e11i 0.103679 0.179577i
\(419\) 2.09321e11 0.331779 0.165889 0.986144i \(-0.446951\pi\)
0.165889 + 0.986144i \(0.446951\pi\)
\(420\) −4.92416e11 + 8.52890e11i −0.772165 + 1.33743i
\(421\) 2.80163e11 + 4.85256e11i 0.434651 + 0.752838i 0.997267 0.0738807i \(-0.0235384\pi\)
−0.562616 + 0.826718i \(0.690205\pi\)
\(422\) −1.52898e11 −0.234691
\(423\) 6.48860e10 + 1.12386e11i 0.0985415 + 0.170679i
\(424\) −6.07911e10 + 1.05293e11i −0.0913469 + 0.158217i
\(425\) −6.65887e10 + 1.15335e11i −0.0990035 + 0.171479i
\(426\) 1.41166e11 0.207676
\(427\) 6.55541e11 1.13543e12i 0.954276 1.65286i
\(428\) 5.95580e10 0.0857914
\(429\) 4.61026e11 0.657154
\(430\) −2.52492e10 1.45421e11i −0.0356156 0.205125i
\(431\) 8.11588e11 1.13289 0.566445 0.824100i \(-0.308318\pi\)
0.566445 + 0.824100i \(0.308318\pi\)
\(432\) 7.19788e11 0.994323
\(433\) 6.10793e11 1.05792e12i 0.835023 1.44630i −0.0589881 0.998259i \(-0.518787\pi\)
0.894011 0.448044i \(-0.147879\pi\)
\(434\) −2.13277e10 −0.0288562
\(435\) −6.04827e11 + 1.04759e12i −0.809896 + 1.40278i
\(436\) −1.24169e11 + 2.15068e11i −0.164560 + 0.285027i
\(437\) 6.44374e10 + 1.11609e11i 0.0845223 + 0.146397i
\(438\) −2.00573e11 −0.260399
\(439\) −5.09515e11 8.82505e11i −0.654736 1.13404i −0.981960 0.189089i \(-0.939446\pi\)
0.327224 0.944947i \(-0.393887\pi\)
\(440\) 1.89578e11 3.28359e11i 0.241130 0.417650i
\(441\) −5.67774e10 −0.0714828
\(442\) 6.93321e9 1.20087e10i 0.00864041 0.0149656i
\(443\) −4.07199e11 7.05290e11i −0.502331 0.870063i −0.999996 0.00269393i \(-0.999142\pi\)
0.497665 0.867369i \(-0.334191\pi\)
\(444\) −1.23097e11 2.13211e11i −0.150323 0.260367i
\(445\) 5.65628e11 + 9.79696e11i 0.683771 + 1.18433i
\(446\) 2.72869e10 0.0326549
\(447\) −7.21769e11 1.25014e12i −0.855095 1.48107i
\(448\) 4.49771e11 + 7.79027e11i 0.527522 + 0.913695i
\(449\) 6.14203e11 1.06383e12i 0.713187 1.23528i −0.250468 0.968125i \(-0.580585\pi\)
0.963655 0.267151i \(-0.0860822\pi\)
\(450\) 1.01805e10 1.76332e10i 0.0117034 0.0202709i
\(451\) 1.07006e12 1.21791
\(452\) −1.12042e11 −0.126257
\(453\) −2.85445e10 + 4.94406e10i −0.0318479 + 0.0551622i
\(454\) −1.08362e11 + 1.87688e11i −0.119708 + 0.207341i
\(455\) 4.79847e11 + 8.31120e11i 0.524870 + 0.909102i
\(456\) 1.48615e11 + 2.57409e11i 0.160961 + 0.278793i
\(457\) −9.98953e11 −1.07133 −0.535664 0.844431i \(-0.679938\pi\)
−0.535664 + 0.844431i \(0.679938\pi\)
\(458\) −6.92564e10 1.19956e11i −0.0735471 0.127387i
\(459\) −9.75999e10 1.69048e11i −0.102634 0.177768i
\(460\) 9.33660e10 + 1.61715e11i 0.0972251 + 0.168399i
\(461\) −6.09583e11 + 1.05583e12i −0.628606 + 1.08878i 0.359226 + 0.933251i \(0.383041\pi\)
−0.987832 + 0.155527i \(0.950293\pi\)
\(462\) −1.86055e11 −0.189999
\(463\) −2.10040e10 + 3.63799e10i −0.0212416 + 0.0367915i −0.876451 0.481491i \(-0.840095\pi\)
0.855209 + 0.518283i \(0.173429\pi\)
\(464\) 5.79229e11 + 1.00325e12i 0.580122 + 1.00480i
\(465\) 2.15233e11 0.213486
\(466\) −7.72752e10 1.33845e11i −0.0759108 0.131481i
\(467\) −2.62116e11 + 4.53998e11i −0.255016 + 0.441701i −0.964900 0.262618i \(-0.915414\pi\)
0.709884 + 0.704319i \(0.248747\pi\)
\(468\) 4.84485e10 8.39152e10i 0.0466846 0.0808601i
\(469\) 1.05714e12 1.00891
\(470\) −1.38996e11 + 2.40748e11i −0.131390 + 0.227573i
\(471\) −2.14903e11 −0.201209
\(472\) −3.04476e9 −0.00282367
\(473\) −9.78448e11 + 8.16659e11i −0.898799 + 0.750181i
\(474\) −2.03406e11 −0.185081
\(475\) −1.37586e12 −1.24009
\(476\) 1.27887e11 2.21507e11i 0.114181 0.197768i
\(477\) 1.11408e11 0.0985333
\(478\) −4.44053e10 + 7.69122e10i −0.0389053 + 0.0673860i
\(479\) −6.98106e11 + 1.20916e12i −0.605915 + 1.04948i 0.385991 + 0.922502i \(0.373860\pi\)
−0.991906 + 0.126973i \(0.959474\pi\)
\(480\) 3.24168e11 + 5.61475e11i 0.278730 + 0.482775i
\(481\) −2.39911e11 −0.204361
\(482\) −4.04802e10 7.01137e10i −0.0341610 0.0591686i
\(483\) 9.26330e10 1.60445e11i 0.0774469 0.134142i
\(484\) −4.37848e11 −0.362676
\(485\) −2.45615e11 + 4.25418e11i −0.201566 + 0.349122i
\(486\) 2.78281e10 + 4.81997e10i 0.0226267 + 0.0391906i
\(487\) −9.58307e11 1.65984e12i −0.772013 1.33717i −0.936458 0.350779i \(-0.885917\pi\)
0.164446 0.986386i \(-0.447417\pi\)
\(488\) −2.86670e11 4.96527e11i −0.228820 0.396327i
\(489\) 1.51700e12 1.19976
\(490\) −6.08129e10 1.05331e11i −0.0476556 0.0825418i
\(491\) −1.03276e12 1.78879e12i −0.801921 1.38897i −0.918350 0.395769i \(-0.870478\pi\)
0.116429 0.993199i \(-0.462855\pi\)
\(492\) −6.07722e11 + 1.05261e12i −0.467587 + 0.809884i
\(493\) 1.57082e11 2.72074e11i 0.119761 0.207432i
\(494\) 1.43255e11 0.108228
\(495\) −3.47428e11 −0.260100
\(496\) 1.03062e11 1.78508e11i 0.0764593 0.132431i
\(497\) 1.26871e12 2.19748e12i 0.932738 1.61555i
\(498\) 6.20082e10 + 1.07401e11i 0.0451769 + 0.0782488i
\(499\) −7.51694e11 1.30197e12i −0.542736 0.940046i −0.998746 0.0500716i \(-0.984055\pi\)
0.456010 0.889975i \(-0.349278\pi\)
\(500\) −4.76387e10 −0.0340875
\(501\) −9.14166e11 1.58338e12i −0.648269 1.12284i
\(502\) 1.62338e11 + 2.81178e11i 0.114092 + 0.197613i
\(503\) 1.22445e12 + 2.12081e12i 0.852874 + 1.47722i 0.878603 + 0.477552i \(0.158476\pi\)
−0.0257294 + 0.999669i \(0.508191\pi\)
\(504\) −3.95322e10 + 6.84718e10i −0.0272906 + 0.0472688i
\(505\) −1.96973e12 −1.34771
\(506\) −1.76387e10 + 3.05512e10i −0.0119616 + 0.0207181i
\(507\) −4.28197e11 7.41659e11i −0.287811 0.498503i
\(508\) −2.18622e12 −1.45649
\(509\) −3.74686e11 6.48975e11i −0.247421 0.428546i 0.715388 0.698727i \(-0.246250\pi\)
−0.962810 + 0.270181i \(0.912917\pi\)
\(510\) 2.82368e10 4.89075e10i 0.0184820 0.0320118i
\(511\) −1.80263e12 + 3.12225e12i −1.16953 + 2.02569i
\(512\) 1.04236e12 0.670355
\(513\) 1.00831e12 1.74645e12i 0.642786 1.11334i
\(514\) −2.34757e11 −0.148349
\(515\) −3.25023e12 −2.03602
\(516\) −2.47645e11 1.42629e12i −0.153782 0.885697i
\(517\) 2.40042e12 1.47768
\(518\) 9.68201e10 0.0590856
\(519\) −7.72593e11 + 1.33817e12i −0.467409 + 0.809577i
\(520\) 4.19678e11 0.251710
\(521\) 4.90095e11 8.48869e11i 0.291414 0.504744i −0.682730 0.730670i \(-0.739208\pi\)
0.974144 + 0.225927i \(0.0725409\pi\)
\(522\) −2.40157e10 + 4.15963e10i −0.0141572 + 0.0245210i
\(523\) 1.03015e12 + 1.78427e12i 0.602062 + 1.04280i 0.992508 + 0.122176i \(0.0389873\pi\)
−0.390446 + 0.920626i \(0.627679\pi\)
\(524\) −1.77427e12 −1.02808
\(525\) 9.88949e11 + 1.71291e12i 0.568142 + 0.984051i
\(526\) 5.40875e9 9.36822e9i 0.00308078 0.00533607i
\(527\) −5.58989e10 −0.0315686
\(528\) 8.99073e11 1.55724e12i 0.503434 0.871973i
\(529\) 8.83012e11 + 1.52942e12i 0.490248 + 0.849135i
\(530\) 1.19326e11 + 2.06679e11i 0.0656894 + 0.113777i
\(531\) 1.39498e9 + 2.41618e9i 0.000761453 + 0.00131888i
\(532\) 2.64242e12 1.43021
\(533\) 5.92211e11 + 1.02574e12i 0.317836 + 0.550509i
\(534\) −1.21377e11 2.10231e11i −0.0645951 0.111882i
\(535\) 1.18185e11 2.04702e11i 0.0623691 0.108027i
\(536\) 2.31145e11 4.00355e11i 0.120960 0.209510i
\(537\) −1.71877e12 −0.891936
\(538\) 2.33090e11 0.119951
\(539\) −5.25111e11 + 9.09519e11i −0.267980 + 0.464154i
\(540\) 1.46098e12 2.53050e12i 0.739390 1.28066i
\(541\) −1.10446e11 1.91298e11i −0.0554323 0.0960115i 0.836978 0.547237i \(-0.184320\pi\)
−0.892410 + 0.451225i \(0.850987\pi\)
\(542\) −1.31012e11 2.26920e11i −0.0652101 0.112947i
\(543\) 1.47301e12 0.727121
\(544\) −8.41908e10 1.45823e11i −0.0412163 0.0713888i
\(545\) 4.92794e11 + 8.53545e11i 0.239266 + 0.414421i
\(546\) −1.02969e11 1.78348e11i −0.0495839 0.0858819i
\(547\) −1.62562e11 + 2.81566e11i −0.0776384 + 0.134474i −0.902231 0.431254i \(-0.858071\pi\)
0.824592 + 0.565728i \(0.191405\pi\)
\(548\) 1.75192e12 0.829855
\(549\) −2.62681e11 + 4.54976e11i −0.123411 + 0.213753i
\(550\) −1.88311e11 3.26164e11i −0.0877492 0.151986i
\(551\) 3.24564e12 1.50009
\(552\) −4.05087e10 7.01632e10i −0.0185705 0.0321650i
\(553\) −1.82809e12 + 3.16634e12i −0.831255 + 1.43978i
\(554\) −1.58973e11 + 2.75349e11i −0.0717016 + 0.124191i
\(555\) −9.77080e11 −0.437131
\(556\) −5.03466e11 + 8.72029e11i −0.223426 + 0.386985i
\(557\) 9.38950e11 0.413327 0.206664 0.978412i \(-0.433739\pi\)
0.206664 + 0.978412i \(0.433739\pi\)
\(558\) 8.54618e9 0.00373180
\(559\) −1.32434e12 4.85951e11i −0.573649 0.210494i
\(560\) 3.74311e12 1.60837
\(561\) −4.87641e11 −0.207858
\(562\) −1.22746e11 + 2.12603e11i −0.0519032 + 0.0898990i
\(563\) 1.03527e12 0.434278 0.217139 0.976141i \(-0.430328\pi\)
0.217139 + 0.976141i \(0.430328\pi\)
\(564\) −1.36327e12 + 2.36126e12i −0.567318 + 0.982624i
\(565\) −2.22331e11 + 3.85089e11i −0.0917873 + 0.158980i
\(566\) 2.62914e11 + 4.55380e11i 0.107681 + 0.186509i
\(567\) −2.43505e12 −0.989428
\(568\) −5.54813e11 9.60964e11i −0.223655 0.387382i
\(569\) 1.16668e12 2.02076e12i 0.466603 0.808181i −0.532669 0.846324i \(-0.678811\pi\)
0.999272 + 0.0381429i \(0.0121442\pi\)
\(570\) 5.83432e11 0.231501
\(571\) −5.13562e11 + 8.89515e11i −0.202176 + 0.350180i −0.949229 0.314585i \(-0.898135\pi\)
0.747053 + 0.664764i \(0.231468\pi\)
\(572\) −8.96161e11 1.55220e12i −0.350029 0.606268i
\(573\) −3.00374e11 5.20263e11i −0.116404 0.201617i
\(574\) −2.38997e11 4.13954e11i −0.0918942 0.159166i
\(575\) 3.75025e11 0.143072
\(576\) −1.80227e11 3.12163e11i −0.0682212 0.118163i
\(577\) −2.18534e12 3.78512e12i −0.820781 1.42163i −0.905101 0.425196i \(-0.860205\pi\)
0.0843199 0.996439i \(-0.473128\pi\)
\(578\) 1.88983e11 3.27329e11i 0.0704284 0.121986i
\(579\) 1.45588e12 2.52165e12i 0.538358 0.932464i
\(580\) 4.70275e12 1.72554
\(581\) 2.22917e12 0.811614
\(582\) 5.27059e10 9.12894e10i 0.0190417 0.0329812i
\(583\) 1.03037e12 1.78465e12i 0.369388 0.639800i
\(584\) 7.88296e11 + 1.36537e12i 0.280434 + 0.485727i
\(585\) −1.92279e11 3.33037e11i −0.0678782 0.117568i
\(586\) −1.07331e11 −0.0375998
\(587\) 3.99960e11 + 6.92751e11i 0.139042 + 0.240827i 0.927134 0.374730i \(-0.122264\pi\)
−0.788092 + 0.615557i \(0.788931\pi\)
\(588\) −5.96454e11 1.03309e12i −0.205769 0.356402i
\(589\) −2.88747e11 5.00125e11i −0.0988552 0.171222i
\(590\) −2.98826e9 + 5.17583e9i −0.00101528 + 0.00175851i
\(591\) 3.75348e12 1.26558
\(592\) −4.67864e11 + 8.10365e11i −0.156557 + 0.271165i
\(593\) 3.80940e11 + 6.59807e11i 0.126506 + 0.219114i 0.922321 0.386426i \(-0.126290\pi\)
−0.795815 + 0.605540i \(0.792957\pi\)
\(594\) 5.52019e11 0.181935
\(595\) −5.07549e11 8.79101e11i −0.166017 0.287549i
\(596\) −2.80601e12 + 4.86015e12i −0.910921 + 1.57776i
\(597\) 1.90765e12 3.30414e12i 0.614629 1.06457i
\(598\) −3.90476e10 −0.0124865
\(599\) −2.05726e12 + 3.56328e12i −0.652932 + 1.13091i 0.329476 + 0.944164i \(0.393128\pi\)
−0.982408 + 0.186748i \(0.940205\pi\)
\(600\) 8.64941e11 0.272462
\(601\) 2.03751e11 0.0637038 0.0318519 0.999493i \(-0.489860\pi\)
0.0318519 + 0.999493i \(0.489860\pi\)
\(602\) 5.34460e11 + 1.96114e11i 0.165856 + 0.0608589i
\(603\) −4.23605e11 −0.130477
\(604\) 2.21944e11 0.0678544
\(605\) −8.68850e11 + 1.50489e12i −0.263661 + 0.456674i
\(606\) 4.22679e11 0.127316
\(607\) 1.52177e12 2.63578e12i 0.454987 0.788061i −0.543700 0.839279i \(-0.682977\pi\)
0.998687 + 0.0512188i \(0.0163106\pi\)
\(608\) 8.69780e11 1.50650e12i 0.258133 0.447099i
\(609\) −2.33291e12 4.04073e12i −0.687260 1.19037i
\(610\) −1.12540e12 −0.329097
\(611\) 1.32848e12 + 2.30099e12i 0.385628 + 0.667927i
\(612\) −5.12455e10 + 8.87597e10i −0.0147664 + 0.0255761i
\(613\) −1.07371e12 −0.307126 −0.153563 0.988139i \(-0.549075\pi\)
−0.153563 + 0.988139i \(0.549075\pi\)
\(614\) −4.24970e11 + 7.36069e11i −0.120670 + 0.209007i
\(615\) 2.41188e12 + 4.17751e12i 0.679858 + 1.17755i
\(616\) 7.31235e11 + 1.26654e12i 0.204618 + 0.354409i
\(617\) 1.42372e12 + 2.46595e12i 0.395495 + 0.685018i 0.993164 0.116725i \(-0.0372396\pi\)
−0.597669 + 0.801743i \(0.703906\pi\)
\(618\) 6.97459e11 0.192341
\(619\) −3.13779e12 5.43481e12i −0.859045 1.48791i −0.872841 0.488006i \(-0.837725\pi\)
0.0137951 0.999905i \(-0.495609\pi\)
\(620\) −4.18378e11 7.24653e11i −0.113712 0.196955i
\(621\) −2.74840e11 + 4.76036e11i −0.0741596 + 0.128448i
\(622\) 4.57649e11 7.92671e11i 0.122596 0.212342i
\(623\) −4.36344e12 −1.16047
\(624\) 1.99032e12 0.525523
\(625\) 1.85951e12 3.22077e12i 0.487460 0.844305i
\(626\) −2.47244e11 + 4.28238e11i −0.0643488 + 0.111455i
\(627\) −2.51893e12 4.36291e12i −0.650896 1.12738i
\(628\) 4.17737e11 + 7.23542e11i 0.107173 + 0.185629i
\(629\) 2.53761e11 0.0646394
\(630\) 7.75974e10 + 1.34403e11i 0.0196252 + 0.0339919i
\(631\) 1.82503e12 + 3.16105e12i 0.458288 + 0.793778i 0.998871 0.0475128i \(-0.0151295\pi\)
−0.540583 + 0.841291i \(0.681796\pi\)
\(632\) 7.99430e11 + 1.38465e12i 0.199321 + 0.345234i
\(633\) −2.97581e12 + 5.15426e12i −0.736697 + 1.27600i
\(634\) −9.90646e11 −0.243510
\(635\) −4.33826e12 + 7.51408e12i −1.05885 + 1.83398i
\(636\) 1.17036e12 + 2.02712e12i 0.283636 + 0.491271i
\(637\) −1.16246e12 −0.279738
\(638\) 4.44222e11 + 7.69416e11i 0.106147 + 0.183852i
\(639\) −5.08384e11 + 8.80547e11i −0.120625 + 0.208929i
\(640\) 1.67391e12 2.89929e12i 0.394386 0.683097i
\(641\) −6.04811e12 −1.41501 −0.707504 0.706709i \(-0.750179\pi\)
−0.707504 + 0.706709i \(0.750179\pi\)
\(642\) −2.53610e10 + 4.39265e10i −0.00589195 + 0.0102052i
\(643\) −1.79919e12 −0.415075 −0.207538 0.978227i \(-0.566545\pi\)
−0.207538 + 0.978227i \(0.566545\pi\)
\(644\) −7.20256e11 −0.165006
\(645\) −5.39361e12 1.97912e12i −1.22705 0.450251i
\(646\) −1.51525e11 −0.0342325
\(647\) −2.93753e12 −0.659043 −0.329521 0.944148i \(-0.606887\pi\)
−0.329521 + 0.944148i \(0.606887\pi\)
\(648\) −5.32428e11 + 9.22191e11i −0.118624 + 0.205463i
\(649\) 5.16065e10 0.0114183
\(650\) 2.08436e11 3.61021e11i 0.0457997 0.0793273i
\(651\) −4.15094e11 + 7.18964e11i −0.0905799 + 0.156889i
\(652\) −2.94880e12 5.10747e12i −0.639045 1.10686i
\(653\) −3.36543e11 −0.0724321 −0.0362161 0.999344i \(-0.511530\pi\)
−0.0362161 + 0.999344i \(0.511530\pi\)
\(654\) −1.05748e11 1.83160e11i −0.0226032 0.0391500i
\(655\) −3.52079e12 + 6.09819e12i −0.747402 + 1.29454i
\(656\) 4.61962e12 0.973955
\(657\) 7.22329e11 1.25111e12i 0.151248 0.261970i
\(658\) −5.36129e11 9.28603e11i −0.111494 0.193114i
\(659\) −2.00374e12 3.47058e12i −0.413863 0.716832i 0.581445 0.813586i \(-0.302487\pi\)
−0.995308 + 0.0967535i \(0.969154\pi\)
\(660\) −3.64978e12 6.32160e12i −0.748719 1.29682i
\(661\) 8.02325e12 1.63472 0.817360 0.576127i \(-0.195437\pi\)
0.817360 + 0.576127i \(0.195437\pi\)
\(662\) −5.49968e11 9.52573e11i −0.111295 0.192769i
\(663\) −2.69878e11 4.67442e11i −0.0542446 0.0939544i
\(664\) 4.87411e11 8.44220e11i 0.0973058 0.168539i
\(665\) 5.24353e12 9.08205e12i 1.03974 1.80089i
\(666\) −3.87966e10 −0.00764117
\(667\) −8.84679e11 −0.173069
\(668\) −3.55399e12 + 6.15569e12i −0.690593 + 1.19614i
\(669\) 5.31077e11 9.19852e11i 0.102504 0.177542i
\(670\) −4.53713e11 7.85854e11i −0.0869850 0.150663i
\(671\) 4.85885e12 + 8.41578e12i 0.925300 + 1.60267i
\(672\) −2.50074e12 −0.473049
\(673\) 1.59833e12 + 2.76840e12i 0.300331 + 0.520188i 0.976211 0.216823i \(-0.0695696\pi\)
−0.675880 + 0.737012i \(0.736236\pi\)
\(674\) 5.50499e11 + 9.53492e11i 0.102751 + 0.177970i
\(675\) −2.93418e12 5.08215e12i −0.544027 0.942282i
\(676\) −1.66469e12 + 2.88333e12i −0.306601 + 0.531049i
\(677\) 1.43080e11 0.0261777 0.0130888 0.999914i \(-0.495834\pi\)
0.0130888 + 0.999914i \(0.495834\pi\)
\(678\) 4.77095e10 8.26353e10i 0.00867105 0.0150187i
\(679\) −9.47377e11 1.64091e12i −0.171044 0.296258i
\(680\) −4.43906e11 −0.0796161
\(681\) 4.21802e12 + 7.30583e12i 0.751531 + 1.30169i
\(682\) 7.90402e10 1.36902e11i 0.0139900 0.0242314i
\(683\) 3.26498e12 5.65510e12i 0.574099 0.994369i −0.422040 0.906577i \(-0.638686\pi\)
0.996139 0.0877913i \(-0.0279809\pi\)
\(684\) −1.05884e12 −0.184960
\(685\) 3.47645e12 6.02139e12i 0.603294 1.04494i
\(686\) −5.55622e11 −0.0957902
\(687\) −5.39166e12 −0.923459
\(688\) −4.22411e12 + 3.52564e12i −0.718765 + 0.599915i
\(689\) 2.28097e12 0.385596
\(690\) −1.59028e11 −0.0267088
\(691\) −4.89577e11 + 8.47972e11i −0.0816902 + 0.141492i −0.903976 0.427583i \(-0.859365\pi\)
0.822286 + 0.569075i \(0.192698\pi\)
\(692\) 6.00719e12 0.995850
\(693\) 6.70043e11 1.16055e12i 0.110358 0.191145i
\(694\) −8.89791e10 + 1.54116e11i −0.0145603 + 0.0252192i
\(695\) 1.99812e12 + 3.46085e12i 0.324855 + 0.562666i
\(696\) −2.04038e12 −0.329587
\(697\) −6.26399e11 1.08496e12i −0.100532 0.174126i
\(698\) −4.92675e11 + 8.53338e11i −0.0785618 + 0.136073i
\(699\) −6.01593e12 −0.953137
\(700\) 3.84472e12 6.65925e12i 0.605234 1.04830i
\(701\) 3.03652e12 + 5.25941e12i 0.474947 + 0.822633i 0.999588 0.0286909i \(-0.00913384\pi\)
−0.524641 + 0.851323i \(0.675801\pi\)
\(702\) 3.05507e11 + 5.29154e11i 0.0474793 + 0.0822365i
\(703\) 1.31081e12 + 2.27039e12i 0.202414 + 0.350592i
\(704\) −6.66739e12 −1.02301
\(705\) 5.41046e12 + 9.37119e12i 0.824865 + 1.42871i
\(706\) −8.25227e11 1.42933e12i −0.125012 0.216527i
\(707\) 3.79878e12 6.57969e12i 0.571817 0.990416i
\(708\) −2.93090e10 + 5.07646e10i −0.00438380 + 0.00759296i
\(709\) −4.83123e12 −0.718041 −0.359021 0.933330i \(-0.616889\pi\)
−0.359021 + 0.933330i \(0.616889\pi\)
\(710\) −2.17807e12 −0.321670
\(711\) 7.32531e11 1.26878e12i 0.107501 0.186197i
\(712\) −9.54072e11 + 1.65250e12i −0.139130 + 0.240981i
\(713\) 7.87051e10 + 1.36321e11i 0.0114051 + 0.0197543i
\(714\) 1.08914e11 + 1.88644e11i 0.0156834 + 0.0271645i
\(715\) −7.11324e12 −1.01787
\(716\) 3.34102e12 + 5.78682e12i 0.475084 + 0.822870i
\(717\) 1.72849e12 + 2.99384e12i 0.244248 + 0.423050i
\(718\) 3.15320e11 + 5.46149e11i 0.0442783 + 0.0766922i
\(719\) 3.05697e12 5.29482e12i 0.426590 0.738875i −0.569978 0.821660i \(-0.693048\pi\)
0.996567 + 0.0827850i \(0.0263815\pi\)
\(720\) −1.49990e12 −0.208001
\(721\) 6.26834e12 1.08571e13i 0.863861 1.49625i
\(722\) −2.48514e11 4.30438e11i −0.0340356 0.0589513i
\(723\) −3.15141e12 −0.428927
\(724\) −2.86330e12 4.95938e12i −0.387296 0.670816i
\(725\) 4.72241e12 8.17945e12i 0.634808 1.09952i
\(726\) 1.86444e11 3.22931e11i 0.0249078 0.0431415i
\(727\) −2.01339e12 −0.267315 −0.133657 0.991028i \(-0.542672\pi\)
−0.133657 + 0.991028i \(0.542672\pi\)
\(728\) −8.09382e11 + 1.40189e12i −0.106798 + 0.184979i
\(729\) 8.41542e12 1.10358
\(730\) 3.09468e12 0.403332
\(731\) 1.40080e12 + 5.14006e11i 0.181446 + 0.0665794i
\(732\) −1.10380e13 −1.42099
\(733\) −7.74302e11 −0.0990701 −0.0495351 0.998772i \(-0.515774\pi\)
−0.0495351 + 0.998772i \(0.515774\pi\)
\(734\) −7.97035e10 + 1.38051e11i −0.0101355 + 0.0175552i
\(735\) −4.73433e12 −0.598364
\(736\) −2.37080e11 + 4.10634e11i −0.0297813 + 0.0515828i
\(737\) −3.91775e12 + 6.78574e12i −0.489140 + 0.847215i
\(738\) 9.57680e10 + 1.65875e11i 0.0118841 + 0.0205839i
\(739\) 1.07094e13 1.32089 0.660443 0.750876i \(-0.270369\pi\)
0.660443 + 0.750876i \(0.270369\pi\)
\(740\) 1.89929e12 + 3.28967e12i 0.232835 + 0.403282i
\(741\) 2.78813e12 4.82918e12i 0.339727 0.588425i
\(742\) −9.20523e11 −0.111485
\(743\) 5.78075e12 1.00126e13i 0.695880 1.20530i −0.274003 0.961729i \(-0.588348\pi\)
0.969883 0.243571i \(-0.0783189\pi\)
\(744\) 1.81522e11 + 3.14405e11i 0.0217195 + 0.0376194i
\(745\) 1.11363e13 + 1.92886e13i 1.32445 + 2.29402i
\(746\) 5.83196e11 + 1.01013e12i 0.0689429 + 0.119413i
\(747\) −8.93245e11 −0.104961
\(748\) 9.47897e11 + 1.64181e12i 0.110714 + 0.191763i
\(749\) 4.55858e11 + 7.89570e11i 0.0529251 + 0.0916690i
\(750\) 2.02855e10 3.51355e10i 0.00234105 0.00405481i
\(751\) 1.21049e12 2.09664e12i 0.138862 0.240516i −0.788204 0.615414i \(-0.788989\pi\)
0.927066 + 0.374898i \(0.122322\pi\)
\(752\) 1.03630e13 1.18169
\(753\) 1.26382e13 1.43254
\(754\) −4.91697e11 + 8.51644e11i −0.0554021 + 0.0959593i
\(755\) 4.40418e11 7.62827e11i 0.0493292 0.0854407i
\(756\) 5.63526e12 + 9.76055e12i 0.627430 + 1.08674i
\(757\) 4.24296e11 + 7.34903e11i 0.0469611 + 0.0813389i 0.888550 0.458779i \(-0.151713\pi\)
−0.841589 + 0.540118i \(0.818380\pi\)
\(758\) 9.79554e11 0.107775
\(759\) 6.86594e11 + 1.18922e12i 0.0750952 + 0.130069i
\(760\) −2.29301e12 3.97161e12i −0.249313 0.431823i
\(761\) −1.23868e12 2.14545e12i −0.133884 0.231893i 0.791287 0.611445i \(-0.209412\pi\)
−0.925170 + 0.379552i \(0.876078\pi\)
\(762\) 9.30937e11 1.61243e12i 0.100028 0.173254i
\(763\) −3.80158e12