Properties

Label 43.10.c.a.36.19
Level 43
Weight 10
Character 43.36
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 36.19
Character \(\chi\) \(=\) 43.36
Dual form 43.10.c.a.6.19

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\)

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 0.998925 0.0463661i \(-0.0147641\pi\)
−0.539617 + 0.841911i \(0.681431\pi\)
\(4\) −501.038 −0.978590
\(5\) −994.242 1722.08i −0.711421 1.23222i −0.964324 0.264726i \(-0.914718\pi\)
0.252902 0.967492i \(-0.418615\pi\)
\(6\) 213.352 + 369.536i 0.0672072 + 0.116406i
\(7\) −3834.95 + 6642.33i −0.603697 + 1.04563i 0.388559 + 0.921424i \(0.372973\pi\)
−0.992256 + 0.124210i \(0.960360\pi\)
\(8\) −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 −0.671853 0.740684i \(-0.734502\pi\)
0.977378 + 0.211500i \(0.0678349\pi\)
\(14\) −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 −0.910291 0.413969i \(-0.864142\pi\)
0.813653 + 0.581350i \(0.197475\pi\)
\(18\) 5087.86 8812.43i 0.0114238 0.0197865i
\(19\) 343804. + 595487.i 0.605230 + 1.04829i 0.992015 + 0.126119i \(0.0402521\pi\)
−0.386785 + 0.922170i \(0.626415\pi\)
\(20\) 498153. + 862826.i 0.696190 + 1.20584i
\(21\) −988484. −1.10913
\(22\) 188222. 0.171305
\(23\) −93712.2 162314.i −0.0698266 0.120943i 0.828998 0.559251i \(-0.188911\pi\)
−0.898825 + 0.438308i \(0.855578\pi\)
\(24\) −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 −0.369913 0.929066i \(-0.620613\pi\)
0.989552 0.144179i \(-0.0460540\pi\)
\(30\) 424247. 734817.i 0.0956253 0.165628i
\(31\) 419930. + 727340.i 0.0816675 + 0.141452i 0.903966 0.427604i \(-0.140642\pi\)
−0.822299 + 0.569056i \(0.807309\pi\)
\(32\) 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 0.770221 0.637777i \(-0.220146\pi\)
−0.937442 + 0.348142i \(0.886813\pi\)
\(38\) 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 0.979548 0.201212i \(-0.0644879\pi\)
−0.664028 + 0.747707i \(0.731155\pi\)
\(54\) 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 −0.135383 0.990793i \(-0.543226\pi\)
0.925744 0.378152i \(-0.123440\pi\)
\(62\) 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 0.577912 0.816099i \(-0.303868\pi\)
−0.995719 + 0.0924364i \(0.970535\pi\)
\(68\) 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 −0.163654 0.986518i \(-0.552328\pi\)
0.936177 0.351530i \(-0.114339\pi\)
\(72\) −5.15420e6 + 8.92733e6i −0.0226029 + 0.0391494i
\(73\) −2.35026e8 + 4.07078e8i −0.968643 + 1.67774i −0.269152 + 0.963098i \(0.586743\pi\)
−0.699491 + 0.714641i \(0.746590\pi\)
\(74\) −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 0.283861 + 0.958865i \(0.408384\pi\)
−0.972332 + 0.233602i \(0.924949\pi\)
\(80\) −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 0.647594 0.761986i \(-0.275775\pi\)
−0.983696 + 0.179840i \(0.942442\pi\)
\(84\) 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 0.999751 0.0222960i \(-0.00709764\pi\)
−0.519185 + 0.854662i \(0.673764\pi\)
\(90\) −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 −0.525947 0.850517i \(-0.676289\pi\)
0.999543 + 0.0302246i \(0.00962224\pi\)
\(102\) −2.84003e7 −0.0259790
\(103\) 8.17264e8 1.41554e9i 0.715476 1.23924i −0.247300 0.968939i \(-0.579543\pi\)
0.962776 0.270301i \(-0.0871233\pi\)
\(104\) −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 0.937773 0.347248i \(-0.112884\pi\)
−0.769612 + 0.638511i \(0.779551\pi\)
\(110\) −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 0.957309 0.289068i \(-0.0933453\pi\)
−0.728994 + 0.684520i \(0.760012\pi\)
\(140\) −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 0.781870 + 0.623441i \(0.214266\pi\)
0.148981 + 0.988840i \(0.452401\pi\)
\(150\) −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 −0.915575 0.402147i \(-0.868264\pi\)
0.806057 + 0.591837i \(0.201597\pi\)
\(158\) −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 −0.329358 0.944205i \(-0.606832\pi\)
0.982385 0.186870i \(-0.0598343\pi\)
\(164\) −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 0.966438 + 0.256902i \(0.0827016\pi\)
−0.260736 + 0.965410i \(0.583965\pi\)
\(168\) 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 −0.999861 0.0166878i \(-0.994688\pi\)
0.514382 + 0.857561i \(0.328021\pi\)
\(180\) 3.06204e9 0.217413
\(181\) 5.71473e9 9.89821e9i 0.395770 0.685493i −0.597429 0.801921i \(-0.703811\pi\)
0.993199 + 0.116428i \(0.0371446\pi\)
\(182\) 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 0.922402 0.386230i \(-0.126223\pi\)
−0.795686 + 0.605709i \(0.792890\pi\)
\(192\) −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 −0.283357 0.959014i \(-0.591448\pi\)
0.972210 0.234113i \(-0.0752184\pi\)
\(198\) 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 −0.907071 0.420977i \(-0.861687\pi\)
0.0889591 0.996035i \(-0.471646\pi\)
\(228\) 2.22004e10 3.84523e10i 0.544070 0.942357i
\(229\) −2.09177e10 + 3.62305e10i −0.502636 + 0.870591i 0.497359 + 0.867545i \(0.334303\pi\)
−0.999995 + 0.00304642i \(0.999030\pi\)
\(230\) −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 0.480972 + 0.876736i \(0.340284\pi\)
−0.999762 + 0.0218342i \(0.993049\pi\)
\(234\) −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 0.701909 0.712267i \(-0.252331\pi\)
−0.967796 + 0.251737i \(0.918998\pi\)
\(240\) 3.14480e10 5.44695e10i 0.611846 1.05975i
\(241\) −1.22263e10 + 2.11766e10i −0.233463 + 0.404371i −0.958825 0.283998i \(-0.908339\pi\)
0.725362 + 0.688368i \(0.241673\pi\)
\(242\) 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 −0.152373 0.988323i \(-0.548692\pi\)
0.932099 0.362202i \(-0.117975\pi\)
\(252\) −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 0.876361 0.481655i \(-0.159964\pi\)
−0.855306 + 0.518123i \(0.826631\pi\)
\(264\) −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 −0.998098 0.0616489i \(-0.980364\pi\)
0.552438 + 0.833554i \(0.313697\pi\)
\(272\) −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 0.509911 0.860227i \(-0.329678\pi\)
−0.999934 + 0.0114821i \(0.996345\pi\)
\(278\) 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 0.632352 0.774681i \(-0.282090\pi\)
−0.987070 + 0.160293i \(0.948756\pi\)
\(282\) 9.00864e9 + 1.56034e10i 0.0848278 + 0.146926i
\(283\) 7.94084e10 1.37539e11i 0.735915 1.27464i −0.218406 0.975858i \(-0.570086\pi\)
0.954321 0.298784i \(-0.0965811\pi\)
\(284\) −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 −0.902159 0.431403i \(-0.858019\pi\)
0.0774736 0.996994i \(-0.475315\pi\)
\(308\) 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 0.891693 + 0.452641i \(0.149518\pi\)
−0.0538478 + 0.998549i \(0.517149\pi\)
\(312\) −2.72003e10 −0.162509
\(313\) −7.46755e10 1.29342e11i −0.439773 0.761709i 0.557899 0.829909i \(-0.311608\pi\)
−0.997672 + 0.0681998i \(0.978274\pi\)
\(314\) −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 0.181919 + 0.983314i \(0.441769\pi\)
−0.942534 + 0.334110i \(0.891564\pi\)
\(332\) 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 −0.265461 0.964122i \(-0.585524\pi\)
0.967684 0.252165i \(-0.0811424\pi\)
\(338\) 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 0.811973 0.583695i \(-0.198394\pi\)
−0.911481 + 0.411342i \(0.865060\pi\)
\(348\) −3.04796e11 −1.11405
\(349\) −1.48804e11 2.57736e11i −0.536907 0.929951i −0.999068 0.0431547i \(-0.986259\pi\)
0.462161 0.886796i \(-0.347074\pi\)
\(350\) −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 0.0228804 + 0.999738i \(0.492716\pi\)
−0.877239 + 0.480054i \(0.840617\pi\)
\(354\) 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 −0.674119 0.738623i \(-0.735476\pi\)
0.976726 + 0.214492i \(0.0688097\pi\)
\(360\) 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 0.829311 0.558787i \(-0.188733\pi\)
−0.898579 + 0.438811i \(0.855400\pi\)
\(368\) −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 −0.528286 0.849067i \(-0.677165\pi\)
0.999456 + 0.0329757i \(0.0104984\pi\)
\(374\) −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 0.694134 0.719846i \(-0.255788\pi\)
−0.970472 + 0.241214i \(0.922454\pi\)
\(398\) 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 −0.548548 0.836119i \(-0.684819\pi\)
0.998374 + 0.0569966i \(0.0181524\pi\)
\(402\) 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 −0.562616 0.826718i \(-0.690205\pi\)
0.997267 + 0.0738807i \(0.0235384\pi\)
\(422\) −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 0.894011 + 0.448044i \(0.147879\pi\)
−0.0589881 + 0.998259i \(0.518787\pi\)
\(434\) −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 0.327224 + 0.944947i \(0.393887\pi\)
−0.981960 + 0.189089i \(0.939446\pi\)
\(440\) 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 0.497665 + 0.867369i \(0.334191\pi\)
−0.999996 + 0.00269393i \(0.999142\pi\)
\(444\) −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 0.963655 + 0.267151i \(0.0860822\pi\)
−0.250468 + 0.968125i \(0.580585\pi\)
\(450\) 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 −0.987832 0.155527i \(-0.950293\pi\)
0.359226 0.933251i \(-0.383041\pi\)
\(462\) −1.86055e11 −0.189999
\(463\) −2.10040e10 3.63799e10i −0.0212416 0.0367915i 0.855209 0.518283i \(-0.173429\pi\)
−0.876451 + 0.481491i \(0.840095\pi\)
\(464\) 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 0.709884 0.704319i \(-0.248747\pi\)
−0.964900 + 0.262618i \(0.915414\pi\)
\(468\) 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 −0.991906 0.126973i \(-0.959474\pi\)
0.385991 0.922502i \(-0.373860\pi\)
\(480\) 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 0.164446 + 0.986386i \(0.447417\pi\)
−0.936458 + 0.350779i \(0.885917\pi\)
\(488\) −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 0.116429 + 0.993199i \(0.462855\pi\)
−0.918350 + 0.395769i \(0.870478\pi\)
\(492\) −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 0.456010 + 0.889975i \(0.349278\pi\)
−0.998746 + 0.0500716i \(0.984055\pi\)
\(500\) −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 −0.0257294 0.999669i \(-0.508191\pi\)
0.878603 0.477552i \(-0.158476\pi\)
\(504\) −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 −0.962810 0.270181i \(-0.912917\pi\)
0.715388 + 0.698727i \(0.246250\pi\)
\(510\) 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 0.974144 0.225927i \(-0.0725409\pi\)
−0.682730 + 0.730670i \(0.739208\pi\)
\(522\) −2.40157e10 4.15963e10i −0.0141572 0.0245210i
\(523\) 1.03015e12 1.78427e12i 0.602062 1.04280i −0.390446 0.920626i \(-0.627679\pi\)
0.992508 0.122176i \(-0.0389873\pi\)
\(524\) −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 −0.892410 0.451225i \(-0.850987\pi\)
0.836978 + 0.547237i \(0.184320\pi\)
\(542\) −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 0.824592 0.565728i \(-0.191405\pi\)
−0.902231 + 0.431254i \(0.858071\pi\)
\(548\) 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 0.999272 0.0381429i \(-0.0121442\pi\)
−0.532669 + 0.846324i \(0.678811\pi\)
\(570\) 5.83432e11 0.231501
\(571\) −5.13562e11 8.89515e11i −0.202176 0.350180i 0.747053 0.664764i \(-0.231468\pi\)
−0.949229 + 0.314585i \(0.898135\pi\)
\(572\) −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 0.0843199 + 0.996439i \(0.473128\pi\)
−0.905101 + 0.425196i \(0.860205\pi\)
\(578\) 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 −0.788092 0.615557i \(-0.788931\pi\)
0.927134 + 0.374730i \(0.122264\pi\)
\(588\) −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 −0.795815 0.605540i \(-0.792957\pi\)
0.922321 + 0.386426i \(0.126290\pi\)
\(594\) 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 −0.982408 0.186748i \(-0.940205\pi\)
0.329476 0.944164i \(-0.393128\pi\)
\(600\) 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 0.998687 0.0512188i \(-0.0163106\pi\)
−0.543700 + 0.839279i \(0.682977\pi\)
\(608\) 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 −0.597669 0.801743i \(-0.703906\pi\)
0.993164 + 0.116725i \(0.0372396\pi\)
\(618\) 6.97459e11 0.192341
\(619\) −3.13779e12 + 5.43481e12i −0.859045 + 1.48791i 0.0137951 + 0.999905i \(0.495609\pi\)
−0.872841 + 0.488006i \(0.837725\pi\)
\(620\) −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 −0.540583 0.841291i \(-0.681796\pi\)
0.998871 + 0.0475128i \(0.0151295\pi\)
\(632\) 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 −0.995308 0.0967535i \(-0.969154\pi\)
0.581445 + 0.813586i \(0.302487\pi\)
\(660\) −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 −0.675880 0.737012i \(-0.736236\pi\)
0.976211 + 0.216823i \(0.0695696\pi\)
\(674\) 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 0.996139 + 0.0877913i \(0.0279809\pi\)
−0.422040 + 0.906577i \(0.638686\pi\)
\(684\) −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 0.822286 0.569075i \(-0.192698\pi\)
−0.903976 + 0.427583i \(0.859365\pi\)
\(692\) 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 −0.524641 0.851323i \(-0.675801\pi\)
0.999588 + 0.0286909i \(0.00913384\pi\)
\(702\) 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 0.996567 0.0827850i \(-0.0263815\pi\)
−0.569978 + 0.821660i \(0.693048\pi\)
\(720\) −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 0.969883 + 0.243571i \(0.0783189\pi\)
−0.274003 + 0.961729i \(0.588348\pi\)
\(744\) 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 0.927066 0.374898i \(-0.122322\pi\)
−0.788204 + 0.615414i \(0.788989\pi\)
\(752\) 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 −0.841589 0.540118i \(-0.818380\pi\)
0.888550 + 0.458779i \(0.151713\pi\)
\(758\) 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 −0.925170 0.379552i \(-0.876078\pi\)
0.791287 + 0.611445i \(0.209412\pi\)
\(762\) 9.30937e11 + 1.61243e12i 0.100028 + 0.173254i
\(763\) −3.80158e12 −0.406072
\(764\) −1.16776e12 2.02262e12i −0.124003 0.214