Properties

Label 43.10.c.a.36.8
Level 43
Weight 10
Character 43.36
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 36.8
Character \(\chi\) \(=\) 43.36
Dual form 43.10.c.a.6.8

$q$-expansion

\(f(q)\) \(=\) \(q-26.2732 q^{2} +(-64.5490 - 111.802i) q^{3} +178.282 q^{4} +(-856.618 - 1483.71i) q^{5} +(1695.91 + 2937.40i) q^{6} +(-4325.00 + 7491.12i) q^{7} +8767.84 q^{8} +(1508.35 - 2612.53i) q^{9} +O(q^{10})\) \(q-26.2732 q^{2} +(-64.5490 - 111.802i) q^{3} +178.282 q^{4} +(-856.618 - 1483.71i) q^{5} +(1695.91 + 2937.40i) q^{6} +(-4325.00 + 7491.12i) q^{7} +8767.84 q^{8} +(1508.35 - 2612.53i) q^{9} +(22506.1 + 38981.8i) q^{10} +4663.85 q^{11} +(-11508.0 - 19932.4i) q^{12} +(-98804.7 + 171135. i) q^{13} +(113632. - 196816. i) q^{14} +(-110588. + 191544. i) q^{15} -321640. q^{16} +(-34947.9 + 60531.6i) q^{17} +(-39629.1 + 68639.6i) q^{18} +(70887.4 + 122781. i) q^{19} +(-152720. - 264519. i) q^{20} +1.11670e6 q^{21} -122534. q^{22} +(383607. + 664427. i) q^{23} +(-565956. - 980264. i) q^{24} +(-491028. + 850485. i) q^{25} +(2.59592e6 - 4.49626e6i) q^{26} -2.93049e6 q^{27} +(-771071. + 1.33553e6i) q^{28} +(3.46117e6 - 5.99493e6i) q^{29} +(2.90550e6 - 5.03247e6i) q^{30} +(-1.22088e6 - 2.11462e6i) q^{31} +3.96139e6 q^{32} +(-301047. - 521429. i) q^{33} +(918195. - 1.59036e6i) q^{34} +1.48195e7 q^{35} +(268911. - 465768. i) q^{36} +(6.26387e6 + 1.08493e7i) q^{37} +(-1.86244e6 - 3.22584e6i) q^{38} +2.55110e7 q^{39} +(-7.51069e6 - 1.30089e7i) q^{40} +1.39602e6 q^{41} -2.93393e7 q^{42} +(2.58527e6 - 2.22690e7i) q^{43} +831482. q^{44} -5.16831e6 q^{45} +(-1.00786e7 - 1.74566e7i) q^{46} -2.95069e7 q^{47} +(2.07615e7 + 3.59601e7i) q^{48} +(-1.72344e7 - 2.98509e7i) q^{49} +(1.29009e7 - 2.23450e7i) q^{50} +9.02342e6 q^{51} +(-1.76151e7 + 3.05103e7i) q^{52} +(891810. + 1.54466e6i) q^{53} +7.69933e7 q^{54} +(-3.99514e6 - 6.91979e6i) q^{55} +(-3.79209e7 + 6.56809e7i) q^{56} +(9.15142e6 - 1.58507e7i) q^{57} +(-9.09362e7 + 1.57506e8i) q^{58} -1.36750e8 q^{59} +(-1.97158e7 + 3.41488e7i) q^{60} +(-7.89953e7 + 1.36824e8i) q^{61} +(3.20764e7 + 5.55579e7i) q^{62} +(1.30472e7 + 2.25984e7i) q^{63} +6.06013e7 q^{64} +3.38552e8 q^{65} +(7.90948e6 + 1.36996e7i) q^{66} +(-4.47819e7 - 7.75644e7i) q^{67} +(-6.23060e6 + 1.07917e7i) q^{68} +(4.95229e7 - 8.57762e7i) q^{69} -3.89356e8 q^{70} +(1.97112e7 - 3.41407e7i) q^{71} +(1.32249e7 - 2.29063e7i) q^{72} +(1.60061e8 - 2.77233e8i) q^{73} +(-1.64572e8 - 2.85047e8i) q^{74} +1.26781e8 q^{75} +(1.26380e7 + 2.18896e7i) q^{76} +(-2.01712e7 + 3.49375e7i) q^{77} -6.70256e8 q^{78} +(2.12648e8 - 3.68318e8i) q^{79} +(2.75523e8 + 4.77219e8i) q^{80} +(1.59471e8 + 2.76212e8i) q^{81} -3.66778e7 q^{82} +(1.83047e8 + 3.17047e8i) q^{83} +1.99087e8 q^{84} +1.19748e8 q^{85} +(-6.79234e7 + 5.85079e8i) q^{86} -8.93662e8 q^{87} +4.08919e7 q^{88} +(1.60464e8 + 2.77931e8i) q^{89} +1.35788e8 q^{90} +(-8.54660e8 - 1.48031e9i) q^{91} +(6.83903e7 + 1.18456e8i) q^{92} +(-1.57613e8 + 2.72993e8i) q^{93} +7.75241e8 q^{94} +(1.21447e8 - 2.10352e8i) q^{95} +(-2.55704e8 - 4.42892e8i) q^{96} +1.21324e9 q^{97} +(4.52804e8 + 7.84280e8i) q^{98} +(7.03470e6 - 1.21845e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −26.2732 −1.16112 −0.580562 0.814216i \(-0.697167\pi\)
−0.580562 + 0.814216i \(0.697167\pi\)
\(3\) −64.5490 111.802i −0.460091 0.796902i 0.538874 0.842387i \(-0.318850\pi\)
−0.998965 + 0.0454850i \(0.985517\pi\)
\(4\) 178.282 0.348208
\(5\) −856.618 1483.71i −0.612946 1.06165i −0.990741 0.135765i \(-0.956651\pi\)
0.377795 0.925889i \(-0.376682\pi\)
\(6\) 1695.91 + 2937.40i 0.534223 + 0.925301i
\(7\) −4325.00 + 7491.12i −0.680840 + 1.17925i 0.293885 + 0.955841i \(0.405052\pi\)
−0.974725 + 0.223408i \(0.928282\pi\)
\(8\) 8767.84 0.756811
\(9\) 1508.35 2612.53i 0.0766319 0.132730i
\(10\) 22506.1 + 38981.8i 0.711706 + 1.23271i
\(11\) 4663.85 0.0960456 0.0480228 0.998846i \(-0.484708\pi\)
0.0480228 + 0.998846i \(0.484708\pi\)
\(12\) −11508.0 19932.4i −0.160207 0.277487i
\(13\) −98804.7 + 171135.i −0.959472 + 1.66185i −0.235687 + 0.971829i \(0.575734\pi\)
−0.723785 + 0.690026i \(0.757599\pi\)
\(14\) 113632. 196816.i 0.790539 1.36925i
\(15\) −110588. + 191544.i −0.564023 + 0.976916i
\(16\) −321640. −1.22696
\(17\) −34947.9 + 60531.6i −0.101485 + 0.175777i −0.912297 0.409530i \(-0.865693\pi\)
0.810812 + 0.585307i \(0.199026\pi\)
\(18\) −39629.1 + 68639.6i −0.0889791 + 0.154116i
\(19\) 70887.4 + 122781.i 0.124789 + 0.216142i 0.921651 0.388021i \(-0.126841\pi\)
−0.796861 + 0.604162i \(0.793508\pi\)
\(20\) −152720. 264519.i −0.213433 0.369676i
\(21\) 1.11670e6 1.25299
\(22\) −122534. −0.111521
\(23\) 383607. + 664427.i 0.285832 + 0.495076i 0.972811 0.231602i \(-0.0743967\pi\)
−0.686978 + 0.726678i \(0.741063\pi\)
\(24\) −565956. 980264.i −0.348202 0.603104i
\(25\) −491028. + 850485.i −0.251406 + 0.435448i
\(26\) 2.59592e6 4.49626e6i 1.11407 1.92962i
\(27\) −2.93049e6 −1.06121
\(28\) −771071. + 1.33553e6i −0.237074 + 0.410623i
\(29\) 3.46117e6 5.99493e6i 0.908725 1.57396i 0.0928877 0.995677i \(-0.470390\pi\)
0.815837 0.578281i \(-0.196276\pi\)
\(30\) 2.90550e6 5.03247e6i 0.654900 1.13432i
\(31\) −1.22088e6 2.11462e6i −0.237435 0.411249i 0.722543 0.691326i \(-0.242973\pi\)
−0.959977 + 0.280077i \(0.909640\pi\)
\(32\) 3.96139e6 0.667840
\(33\) −301047. 521429.i −0.0441898 0.0765389i
\(34\) 918195. 1.59036e6i 0.117836 0.204099i
\(35\) 1.48195e7 1.66927
\(36\) 268911. 465768.i 0.0266838 0.0462177i
\(37\) 6.26387e6 + 1.08493e7i 0.549458 + 0.951689i 0.998312 + 0.0580841i \(0.0184992\pi\)
−0.448854 + 0.893605i \(0.648168\pi\)
\(38\) −1.86244e6 3.22584e6i −0.144896 0.250967i
\(39\) 2.55110e7 1.76578
\(40\) −7.51069e6 1.30089e7i −0.463885 0.803472i
\(41\) 1.39602e6 0.0771548 0.0385774 0.999256i \(-0.487717\pi\)
0.0385774 + 0.999256i \(0.487717\pi\)
\(42\) −2.93393e7 −1.45488
\(43\) 2.58527e6 2.22690e7i 0.115318 0.993329i
\(44\) 831482. 0.0334438
\(45\) −5.16831e6 −0.187885
\(46\) −1.00786e7 1.74566e7i −0.331886 0.574844i
\(47\) −2.95069e7 −0.882029 −0.441015 0.897500i \(-0.645381\pi\)
−0.441015 + 0.897500i \(0.645381\pi\)
\(48\) 2.07615e7 + 3.59601e7i 0.564513 + 0.977766i
\(49\) −1.72344e7 2.98509e7i −0.427085 0.739733i
\(50\) 1.29009e7 2.23450e7i 0.291914 0.505609i
\(51\) 9.02342e6 0.186769
\(52\) −1.76151e7 + 3.05103e7i −0.334096 + 0.578671i
\(53\) 891810. + 1.54466e6i 0.0155250 + 0.0268900i 0.873684 0.486495i \(-0.161725\pi\)
−0.858159 + 0.513385i \(0.828391\pi\)
\(54\) 7.69933e7 1.23220
\(55\) −3.99514e6 6.91979e6i −0.0588708 0.101967i
\(56\) −3.79209e7 + 6.56809e7i −0.515267 + 0.892469i
\(57\) 9.15142e6 1.58507e7i 0.114829 0.198890i
\(58\) −9.09362e7 + 1.57506e8i −1.05514 + 1.82756i
\(59\) −1.36750e8 −1.46924 −0.734622 0.678476i \(-0.762641\pi\)
−0.734622 + 0.678476i \(0.762641\pi\)
\(60\) −1.97158e7 + 3.41488e7i −0.196397 + 0.340170i
\(61\) −7.89953e7 + 1.36824e8i −0.730494 + 1.26525i 0.226178 + 0.974086i \(0.427377\pi\)
−0.956672 + 0.291167i \(0.905956\pi\)
\(62\) 3.20764e7 + 5.55579e7i 0.275691 + 0.477511i
\(63\) 1.30472e7 + 2.25984e7i 0.104348 + 0.180736i
\(64\) 6.06013e7 0.451515
\(65\) 3.38552e8 2.35242
\(66\) 7.90948e6 + 1.36996e7i 0.0513098 + 0.0888711i
\(67\) −4.47819e7 7.75644e7i −0.271497 0.470247i 0.697748 0.716343i \(-0.254185\pi\)
−0.969245 + 0.246096i \(0.920852\pi\)
\(68\) −6.23060e6 + 1.07917e7i −0.0353378 + 0.0612069i
\(69\) 4.95229e7 8.57762e7i 0.263018 0.455560i
\(70\) −3.89356e8 −1.93823
\(71\) 1.97112e7 3.41407e7i 0.0920555 0.159445i −0.816320 0.577599i \(-0.803990\pi\)
0.908376 + 0.418155i \(0.137323\pi\)
\(72\) 1.32249e7 2.29063e7i 0.0579959 0.100452i
\(73\) 1.60061e8 2.77233e8i 0.659678 1.14260i −0.321021 0.947072i \(-0.604026\pi\)
0.980699 0.195523i \(-0.0626406\pi\)
\(74\) −1.64572e8 2.85047e8i −0.637989 1.10503i
\(75\) 1.26781e8 0.462679
\(76\) 1.26380e7 + 2.18896e7i 0.0434526 + 0.0752622i
\(77\) −2.01712e7 + 3.49375e7i −0.0653917 + 0.113262i
\(78\) −6.70256e8 −2.05029
\(79\) 2.12648e8 3.68318e8i 0.614243 1.06390i −0.376274 0.926508i \(-0.622795\pi\)
0.990517 0.137391i \(-0.0438717\pi\)
\(80\) 2.75523e8 + 4.77219e8i 0.752060 + 1.30261i
\(81\) 1.59471e8 + 2.76212e8i 0.411623 + 0.712952i
\(82\) −3.66778e7 −0.0895862
\(83\) 1.83047e8 + 3.17047e8i 0.423361 + 0.733283i 0.996266 0.0863388i \(-0.0275168\pi\)
−0.572905 + 0.819622i \(0.694183\pi\)
\(84\) 1.99087e8 0.436302
\(85\) 1.19748e8 0.248819
\(86\) −6.79234e7 + 5.85079e8i −0.133899 + 1.15338i
\(87\) −8.93662e8 −1.67239
\(88\) 4.08919e7 0.0726884
\(89\) 1.60464e8 + 2.77931e8i 0.271095 + 0.469551i 0.969143 0.246501i \(-0.0792809\pi\)
−0.698047 + 0.716052i \(0.745948\pi\)
\(90\) 1.35788e8 0.218158
\(91\) −8.54660e8 1.48031e9i −1.30649 2.26291i
\(92\) 6.83903e7 + 1.18456e8i 0.0995290 + 0.172389i
\(93\) −1.57613e8 + 2.72993e8i −0.218483 + 0.378424i
\(94\) 7.75241e8 1.02414
\(95\) 1.21447e8 2.10352e8i 0.152978 0.264966i
\(96\) −2.55704e8 4.42892e8i −0.307267 0.532202i
\(97\) 1.21324e9 1.39147 0.695736 0.718297i \(-0.255078\pi\)
0.695736 + 0.718297i \(0.255078\pi\)
\(98\) 4.52804e8 + 7.84280e8i 0.495899 + 0.858922i
\(99\) 7.03470e6 1.21845e7i 0.00736016 0.0127482i
\(100\) −8.75416e7 + 1.51626e8i −0.0875416 + 0.151626i
\(101\) 9.47797e8 1.64163e9i 0.906295 1.56975i 0.0871245 0.996197i \(-0.472232\pi\)
0.819170 0.573551i \(-0.194434\pi\)
\(102\) −2.37074e8 −0.216862
\(103\) −4.47931e8 + 7.75840e8i −0.392142 + 0.679210i −0.992732 0.120347i \(-0.961599\pi\)
0.600590 + 0.799558i \(0.294933\pi\)
\(104\) −8.66304e8 + 1.50048e9i −0.726139 + 1.25771i
\(105\) −9.56584e8 1.65685e9i −0.768018 1.33025i
\(106\) −2.34307e7 4.05832e7i −0.0180264 0.0312226i
\(107\) −1.15385e8 −0.0850987 −0.0425494 0.999094i \(-0.513548\pi\)
−0.0425494 + 0.999094i \(0.513548\pi\)
\(108\) −5.22454e8 −0.369523
\(109\) 7.48130e8 + 1.29580e9i 0.507642 + 0.879263i 0.999961 + 0.00884737i \(0.00281624\pi\)
−0.492318 + 0.870415i \(0.663850\pi\)
\(110\) 1.04965e8 + 1.81805e8i 0.0683563 + 0.118397i
\(111\) 8.08653e8 1.40063e9i 0.505602 0.875728i
\(112\) 1.39109e9 2.40944e9i 0.835362 1.44689i
\(113\) 4.92722e8 0.284282 0.142141 0.989846i \(-0.454601\pi\)
0.142141 + 0.989846i \(0.454601\pi\)
\(114\) −2.40437e8 + 4.16450e8i −0.133331 + 0.230936i
\(115\) 6.57210e8 1.13832e9i 0.350400 0.606910i
\(116\) 6.17066e8 1.06879e9i 0.316425 0.548064i
\(117\) 2.98063e8 + 5.16261e8i 0.147052 + 0.254702i
\(118\) 3.59287e9 1.70597
\(119\) −3.02299e8 5.23598e8i −0.138190 0.239352i
\(120\) −9.69616e8 + 1.67942e9i −0.426859 + 0.739341i
\(121\) −2.33620e9 −0.990775
\(122\) 2.07546e9 3.59480e9i 0.848194 1.46912i
\(123\) −9.01114e7 1.56078e8i −0.0354982 0.0614848i
\(124\) −2.17661e8 3.76999e8i −0.0826765 0.143200i
\(125\) −1.66367e9 −0.609498
\(126\) −3.42792e8 5.93733e8i −0.121161 0.209857i
\(127\) 5.22368e9 1.78180 0.890901 0.454197i \(-0.150074\pi\)
0.890901 + 0.454197i \(0.150074\pi\)
\(128\) −3.62042e9 −1.19210
\(129\) −2.65660e9 + 1.14840e9i −0.844642 + 0.365125i
\(130\) −8.89484e9 −2.73145
\(131\) −3.37344e8 −0.100081 −0.0500405 0.998747i \(-0.515935\pi\)
−0.0500405 + 0.998747i \(0.515935\pi\)
\(132\) −5.36714e7 9.29616e7i −0.0153872 0.0266514i
\(133\) −1.22635e9 −0.339846
\(134\) 1.17656e9 + 2.03787e9i 0.315242 + 0.546015i
\(135\) 2.51031e9 + 4.34798e9i 0.650467 + 1.12664i
\(136\) −3.06418e8 + 5.30731e8i −0.0768049 + 0.133030i
\(137\) 5.91017e9 1.43337 0.716683 0.697399i \(-0.245659\pi\)
0.716683 + 0.697399i \(0.245659\pi\)
\(138\) −1.30113e9 + 2.25362e9i −0.305396 + 0.528962i
\(139\) 3.99865e8 + 6.92587e8i 0.0908546 + 0.157365i 0.907871 0.419250i \(-0.137707\pi\)
−0.817016 + 0.576614i \(0.804373\pi\)
\(140\) 2.64205e9 0.581253
\(141\) 1.90464e9 + 3.29893e9i 0.405814 + 0.702890i
\(142\) −5.17876e8 + 8.96987e8i −0.106888 + 0.185135i
\(143\) −4.60810e8 + 7.98147e8i −0.0921531 + 0.159614i
\(144\) −4.85144e8 + 8.40295e8i −0.0940242 + 0.162855i
\(145\) −1.18596e10 −2.22800
\(146\) −4.20531e9 + 7.28381e9i −0.765967 + 1.32669i
\(147\) −2.22493e9 + 3.85369e9i −0.392996 + 0.680690i
\(148\) 1.11674e9 + 1.93424e9i 0.191326 + 0.331386i
\(149\) 1.87306e9 + 3.24424e9i 0.311325 + 0.539231i 0.978650 0.205536i \(-0.0658938\pi\)
−0.667324 + 0.744767i \(0.732560\pi\)
\(150\) −3.33096e9 −0.537228
\(151\) 7.89126e9 1.23524 0.617619 0.786478i \(-0.288098\pi\)
0.617619 + 0.786478i \(0.288098\pi\)
\(152\) 6.21529e8 + 1.07652e9i 0.0944420 + 0.163578i
\(153\) 1.05427e8 + 1.82605e8i 0.0155540 + 0.0269402i
\(154\) 5.29961e8 9.17920e8i 0.0759278 0.131511i
\(155\) −2.09165e9 + 3.62284e9i −0.291069 + 0.504147i
\(156\) 4.54816e9 0.614858
\(157\) 6.08576e9 1.05409e10i 0.799405 1.38461i −0.120600 0.992701i \(-0.538482\pi\)
0.920004 0.391908i \(-0.128185\pi\)
\(158\) −5.58696e9 + 9.67689e9i −0.713211 + 1.23532i
\(159\) 1.15131e8 1.99413e8i 0.0142858 0.0247437i
\(160\) −3.39340e9 5.87753e9i −0.409350 0.709015i
\(161\) −6.63640e9 −0.778424
\(162\) −4.18982e9 7.25699e9i −0.477945 0.827826i
\(163\) −3.81917e9 + 6.61499e9i −0.423764 + 0.733981i −0.996304 0.0858957i \(-0.972625\pi\)
0.572540 + 0.819877i \(0.305958\pi\)
\(164\) 2.48885e8 0.0268659
\(165\) −5.15765e8 + 8.93331e8i −0.0541719 + 0.0938285i
\(166\) −4.80923e9 8.32984e9i −0.491575 0.851432i
\(167\) −3.44262e9 5.96280e9i −0.342504 0.593234i 0.642393 0.766375i \(-0.277942\pi\)
−0.984897 + 0.173141i \(0.944608\pi\)
\(168\) 9.79103e9 0.948280
\(169\) −1.42225e10 2.46341e10i −1.34117 2.32298i
\(170\) −3.14617e9 −0.288910
\(171\) 4.27691e8 0.0382514
\(172\) 4.60908e8 3.97017e9i 0.0401547 0.345885i
\(173\) 1.26098e10 1.07029 0.535145 0.844760i \(-0.320257\pi\)
0.535145 + 0.844760i \(0.320257\pi\)
\(174\) 2.34794e10 1.94185
\(175\) −4.24739e9 7.35669e9i −0.342335 0.592941i
\(176\) −1.50008e9 −0.117844
\(177\) 8.82710e9 + 1.52890e10i 0.675987 + 1.17084i
\(178\) −4.21590e9 7.30215e9i −0.314775 0.545206i
\(179\) 6.88029e9 1.19170e10i 0.500920 0.867618i −0.499080 0.866556i \(-0.666329\pi\)
0.999999 0.00106226i \(-0.000338129\pi\)
\(180\) −9.21418e8 −0.0654230
\(181\) 3.37417e9 5.84424e9i 0.233676 0.404738i −0.725211 0.688526i \(-0.758258\pi\)
0.958887 + 0.283788i \(0.0915913\pi\)
\(182\) 2.24547e10 + 3.88926e10i 1.51700 + 2.62752i
\(183\) 2.03963e10 1.34438
\(184\) 3.36340e9 + 5.82559e9i 0.216321 + 0.374679i
\(185\) 1.07315e10 1.85875e10i 0.673577 1.16667i
\(186\) 4.14099e9 7.17241e9i 0.253686 0.439397i
\(187\) −1.62992e8 + 2.82310e8i −0.00974718 + 0.0168826i
\(188\) −5.26056e9 −0.307129
\(189\) 1.26743e10 2.19526e10i 0.722516 1.25143i
\(190\) −3.19080e9 + 5.52663e9i −0.177627 + 0.307659i
\(191\) 1.03376e10 + 1.79052e10i 0.562042 + 0.973485i 0.997318 + 0.0731884i \(0.0233174\pi\)
−0.435276 + 0.900297i \(0.643349\pi\)
\(192\) −3.91176e9 6.77536e9i −0.207738 0.359813i
\(193\) −3.57860e10 −1.85654 −0.928272 0.371902i \(-0.878706\pi\)
−0.928272 + 0.371902i \(0.878706\pi\)
\(194\) −3.18758e10 −1.61567
\(195\) −2.18532e10 3.78508e10i −1.08233 1.87465i
\(196\) −3.07259e9 5.32189e9i −0.148714 0.257581i
\(197\) 1.44651e10 2.50543e10i 0.684265 1.18518i −0.289403 0.957207i \(-0.593457\pi\)
0.973667 0.227974i \(-0.0732100\pi\)
\(198\) −1.84824e8 + 3.20125e8i −0.00854606 + 0.0148022i
\(199\) 1.68285e10 0.760689 0.380345 0.924845i \(-0.375805\pi\)
0.380345 + 0.924845i \(0.375805\pi\)
\(200\) −4.30525e9 + 7.45692e9i −0.190267 + 0.329552i
\(201\) −5.78125e9 + 1.00134e10i −0.249827 + 0.432713i
\(202\) −2.49017e10 + 4.31310e10i −1.05232 + 1.82267i
\(203\) 2.99392e10 + 5.18561e10i 1.23739 + 2.14323i
\(204\) 1.60872e9 0.0650345
\(205\) −1.19585e9 2.07128e9i −0.0472917 0.0819117i
\(206\) 1.17686e10 2.03838e10i 0.455326 0.788647i
\(207\) 2.31445e9 0.0876155
\(208\) 3.17795e10 5.50438e10i 1.17723 2.03903i
\(209\) 3.30608e8 + 5.72630e8i 0.0119855 + 0.0207595i
\(210\) 2.51325e10 + 4.35308e10i 0.891763 + 1.54458i
\(211\) −2.27148e10 −0.788928 −0.394464 0.918911i \(-0.629070\pi\)
−0.394464 + 0.918911i \(0.629070\pi\)
\(212\) 1.58994e8 + 2.75385e8i 0.00540591 + 0.00936331i
\(213\) −5.08934e9 −0.169416
\(214\) 3.03154e9 0.0988101
\(215\) −3.52553e10 + 1.52403e10i −1.12526 + 0.486429i
\(216\) −2.56940e10 −0.803138
\(217\) 2.11212e10 0.646620
\(218\) −1.96558e10 3.40448e10i −0.589436 1.02093i
\(219\) −4.13270e10 −1.21405
\(220\) −7.12263e8 1.23368e9i −0.0204993 0.0355058i
\(221\) −6.90604e9 1.19616e10i −0.194744 0.337306i
\(222\) −2.12459e10 + 3.67990e10i −0.587066 + 1.01683i
\(223\) 2.25155e9 0.0609690 0.0304845 0.999535i \(-0.490295\pi\)
0.0304845 + 0.999535i \(0.490295\pi\)
\(224\) −1.71330e10 + 2.96752e10i −0.454692 + 0.787549i
\(225\) 1.48128e9 + 2.56565e9i 0.0385315 + 0.0667385i
\(226\) −1.29454e10 −0.330086
\(227\) 2.70655e10 + 4.68788e10i 0.676549 + 1.17182i 0.976014 + 0.217710i \(0.0698586\pi\)
−0.299465 + 0.954107i \(0.596808\pi\)
\(228\) 1.63154e9 2.82591e9i 0.0399844 0.0692549i
\(229\) 1.02424e10 1.77404e10i 0.246118 0.426289i −0.716327 0.697764i \(-0.754178\pi\)
0.962445 + 0.271475i \(0.0875116\pi\)
\(230\) −1.72670e10 + 2.99073e10i −0.406857 + 0.704697i
\(231\) 5.20811e9 0.120345
\(232\) 3.03470e10 5.25626e10i 0.687733 1.19119i
\(233\) 2.12554e10 3.68155e10i 0.472464 0.818331i −0.527040 0.849841i \(-0.676698\pi\)
0.999503 + 0.0315097i \(0.0100315\pi\)
\(234\) −7.83108e9 1.35638e10i −0.170746 0.295741i
\(235\) 2.52761e10 + 4.37796e10i 0.540636 + 0.936410i
\(236\) −2.43802e10 −0.511602
\(237\) −5.49050e10 −1.13043
\(238\) 7.94238e9 + 1.37566e10i 0.160455 + 0.277917i
\(239\) 1.64563e10 + 2.85031e10i 0.326243 + 0.565070i 0.981763 0.190108i \(-0.0608838\pi\)
−0.655520 + 0.755178i \(0.727551\pi\)
\(240\) 3.55694e10 6.16081e10i 0.692033 1.19864i
\(241\) −2.79880e10 + 4.84766e10i −0.534435 + 0.925669i 0.464755 + 0.885439i \(0.346142\pi\)
−0.999190 + 0.0402298i \(0.987191\pi\)
\(242\) 6.13794e10 1.15041
\(243\) −8.25295e9 + 1.42945e10i −0.151838 + 0.262991i
\(244\) −1.40835e10 + 2.43933e10i −0.254364 + 0.440571i
\(245\) −2.95267e10 + 5.11417e10i −0.523561 + 0.906833i
\(246\) 2.36752e9 + 4.10066e9i 0.0412178 + 0.0713914i
\(247\) −2.80160e10 −0.478928
\(248\) −1.07044e10 1.85406e10i −0.179693 0.311238i
\(249\) 2.36310e10 4.09301e10i 0.389570 0.674755i
\(250\) 4.37100e10 0.707703
\(251\) 6.60513e9 1.14404e10i 0.105039 0.181932i −0.808715 0.588200i \(-0.799837\pi\)
0.913754 + 0.406268i \(0.133170\pi\)
\(252\) 2.32608e9 + 4.02889e9i 0.0363348 + 0.0629337i
\(253\) 1.78909e9 + 3.09879e9i 0.0274529 + 0.0475499i
\(254\) −1.37243e11 −2.06889
\(255\) −7.72963e9 1.33881e10i −0.114480 0.198284i
\(256\) 6.40923e10 0.932665
\(257\) 5.90429e10 0.844246 0.422123 0.906539i \(-0.361285\pi\)
0.422123 + 0.906539i \(0.361285\pi\)
\(258\) 6.97975e10 3.01723e10i 0.980734 0.423955i
\(259\) −1.08365e11 −1.49637
\(260\) 6.03578e10 0.819131
\(261\) −1.04413e10 1.80849e10i −0.139275 0.241231i
\(262\) 8.86311e9 0.116206
\(263\) 7.35251e10 + 1.27349e11i 0.947621 + 1.64133i 0.750416 + 0.660966i \(0.229853\pi\)
0.197205 + 0.980362i \(0.436813\pi\)
\(264\) −2.63953e9 4.57181e9i −0.0334433 0.0579255i
\(265\) 1.52788e9 2.64637e9i 0.0190319 0.0329643i
\(266\) 3.22202e10 0.394604
\(267\) 2.07155e10 3.58804e10i 0.249457 0.432072i
\(268\) −7.98381e9 1.38284e10i −0.0945374 0.163744i
\(269\) −7.33007e9 −0.0853538 −0.0426769 0.999089i \(-0.513589\pi\)
−0.0426769 + 0.999089i \(0.513589\pi\)
\(270\) −6.59539e10 1.14236e11i −0.755272 1.30817i
\(271\) 4.68404e9 8.11299e9i 0.0527544 0.0913733i −0.838442 0.544990i \(-0.816533\pi\)
0.891197 + 0.453617i \(0.149867\pi\)
\(272\) 1.12406e10 1.94694e10i 0.124518 0.215671i
\(273\) −1.10335e11 + 1.91106e11i −1.20221 + 2.08229i
\(274\) −1.55279e11 −1.66432
\(275\) −2.29008e9 + 3.96654e9i −0.0241465 + 0.0418229i
\(276\) 8.82906e9 1.52924e10i 0.0915848 0.158630i
\(277\) −3.49012e10 6.04506e10i −0.356189 0.616938i 0.631131 0.775676i \(-0.282591\pi\)
−0.987321 + 0.158738i \(0.949258\pi\)
\(278\) −1.05057e10 1.81965e10i −0.105493 0.182720i
\(279\) −7.36601e9 −0.0727803
\(280\) 1.29935e11 1.26332
\(281\) −1.54082e10 2.66878e10i −0.147426 0.255349i 0.782849 0.622211i \(-0.213765\pi\)
−0.930275 + 0.366862i \(0.880432\pi\)
\(282\) −5.00410e10 8.66736e10i −0.471200 0.816143i
\(283\) 1.50062e10 2.59915e10i 0.139069 0.240875i −0.788075 0.615579i \(-0.788922\pi\)
0.927145 + 0.374704i \(0.122256\pi\)
\(284\) 3.51415e9 6.08669e9i 0.0320544 0.0555199i
\(285\) −3.13571e10 −0.281536
\(286\) 1.21070e10 2.09699e10i 0.107001 0.185331i
\(287\) −6.03776e9 + 1.04577e10i −0.0525300 + 0.0909847i
\(288\) 5.97514e9 1.03492e10i 0.0511778 0.0886426i
\(289\) 5.68512e10 + 9.84692e10i 0.479402 + 0.830348i
\(290\) 3.11591e11 2.58698
\(291\) −7.83136e10 1.35643e11i −0.640204 1.10887i
\(292\) 2.85360e10 4.94258e10i 0.229705 0.397860i
\(293\) −4.95877e10 −0.393070 −0.196535 0.980497i \(-0.562969\pi\)
−0.196535 + 0.980497i \(0.562969\pi\)
\(294\) 5.84561e10 1.01249e11i 0.456317 0.790365i
\(295\) 1.17143e11 + 2.02897e11i 0.900568 + 1.55983i
\(296\) 5.49206e10 + 9.51252e10i 0.415836 + 0.720249i
\(297\) −1.36674e10 −0.101925
\(298\) −4.92114e10 8.52367e10i −0.361487 0.626114i
\(299\) −1.51609e11 −1.09699
\(300\) 2.26029e10 0.161108
\(301\) 1.55639e11 + 1.15680e11i 1.09287 + 0.812286i
\(302\) −2.07329e11 −1.43426
\(303\) −2.44718e11 −1.66791
\(304\) −2.28002e10 3.94911e10i −0.153112 0.265197i
\(305\) 2.70675e11 1.79101
\(306\) −2.76991e9 4.79763e9i −0.0180601 0.0312810i
\(307\) −7.21955e10 1.25046e11i −0.463861 0.803431i 0.535288 0.844669i \(-0.320203\pi\)
−0.999149 + 0.0412388i \(0.986870\pi\)
\(308\) −3.59616e9 + 6.22873e9i −0.0227699 + 0.0394386i
\(309\) 1.15654e11 0.721685
\(310\) 5.49544e10 9.51838e10i 0.337967 0.585377i
\(311\) −5.80887e10 1.00613e11i −0.352103 0.609861i 0.634515 0.772911i \(-0.281200\pi\)
−0.986618 + 0.163050i \(0.947867\pi\)
\(312\) 2.23676e11 1.33636
\(313\) 3.17110e10 + 5.49251e10i 0.186750 + 0.323461i 0.944165 0.329473i \(-0.106871\pi\)
−0.757415 + 0.652934i \(0.773538\pi\)
\(314\) −1.59893e11 + 2.76942e11i −0.928207 + 1.60770i
\(315\) 2.23529e10 3.87164e10i 0.127920 0.221563i
\(316\) 3.79114e10 6.56645e10i 0.213884 0.370458i
\(317\) −1.76626e11 −0.982401 −0.491200 0.871047i \(-0.663442\pi\)
−0.491200 + 0.871047i \(0.663442\pi\)
\(318\) −3.02486e9 + 5.23921e9i −0.0165876 + 0.0287305i
\(319\) 1.61424e10 2.79595e10i 0.0872791 0.151172i
\(320\) −5.19122e10 8.99146e10i −0.276754 0.479353i
\(321\) 7.44800e9 + 1.29003e10i 0.0391532 + 0.0678153i
\(322\) 1.74360e11 0.903846
\(323\) −9.90947e9 −0.0506569
\(324\) 2.84309e10 + 4.92438e10i 0.143330 + 0.248255i
\(325\) −9.70317e10 1.68064e11i −0.482435 0.835601i
\(326\) 1.00342e11 1.73797e11i 0.492043 0.852243i
\(327\) 9.65822e10 1.67285e11i 0.467124 0.809082i
\(328\) 1.22400e10 0.0583916
\(329\) 1.27617e11 2.21040e11i 0.600520 1.04013i
\(330\) 1.35508e10 2.34707e10i 0.0629003 0.108946i
\(331\) −1.14110e11 + 1.97645e11i −0.522516 + 0.905023i 0.477141 + 0.878827i \(0.341673\pi\)
−0.999657 + 0.0261968i \(0.991660\pi\)
\(332\) 3.26340e10 + 5.65238e10i 0.147418 + 0.255335i
\(333\) 3.77923e10 0.168424
\(334\) 9.04488e10 + 1.56662e11i 0.397689 + 0.688818i
\(335\) −7.67219e10 + 1.32886e11i −0.332826 + 0.576472i
\(336\) −3.59175e11 −1.53737
\(337\) 2.68798e10 4.65572e10i 0.113525 0.196631i −0.803664 0.595083i \(-0.797119\pi\)
0.917189 + 0.398452i \(0.130452\pi\)
\(338\) 3.73670e11 + 6.47216e11i 1.55727 + 2.69727i
\(339\) −3.18048e10 5.50875e10i −0.130796 0.226545i
\(340\) 2.13490e10 0.0866407
\(341\) −5.69399e9 9.86227e9i −0.0228046 0.0394987i
\(342\) −1.12368e10 −0.0444146
\(343\) −5.09031e10 −0.198573
\(344\) 2.26672e10 1.95251e11i 0.0872741 0.751762i
\(345\) −1.69689e11 −0.644863
\(346\) −3.31301e11 −1.24274
\(347\) 3.54571e10 + 6.14135e10i 0.131287 + 0.227395i 0.924173 0.381975i \(-0.124756\pi\)
−0.792886 + 0.609370i \(0.791422\pi\)
\(348\) −1.59324e11 −0.582338
\(349\) 1.07948e11 + 1.86972e11i 0.389494 + 0.674624i 0.992382 0.123203i \(-0.0393165\pi\)
−0.602887 + 0.797826i \(0.705983\pi\)
\(350\) 1.11593e11 + 1.93284e11i 0.397493 + 0.688478i
\(351\) 2.89546e11 5.01508e11i 1.01820 1.76358i
\(352\) 1.84753e10 0.0641431
\(353\) −8.87850e10 + 1.53780e11i −0.304336 + 0.527125i −0.977113 0.212720i \(-0.931768\pi\)
0.672777 + 0.739845i \(0.265101\pi\)
\(354\) −2.31916e11 4.01691e11i −0.784904 1.35949i
\(355\) −6.75398e10 −0.225700
\(356\) 2.86078e10 + 4.95502e10i 0.0943974 + 0.163501i
\(357\) −3.90263e10 + 6.75955e10i −0.127160 + 0.220247i
\(358\) −1.80767e11 + 3.13098e11i −0.581630 + 1.00741i
\(359\) 1.14306e11 1.97984e11i 0.363199 0.629080i −0.625286 0.780396i \(-0.715018\pi\)
0.988485 + 0.151316i \(0.0483511\pi\)
\(360\) −4.53149e10 −0.142193
\(361\) 1.51294e11 2.62049e11i 0.468855 0.812081i
\(362\) −8.86504e10 + 1.53547e11i −0.271326 + 0.469951i
\(363\) 1.50799e11 + 2.61192e11i 0.455847 + 0.789550i
\(364\) −1.52371e11 2.63914e11i −0.454931 0.787964i
\(365\) −5.48444e11 −1.61739
\(366\) −5.35876e11 −1.56099
\(367\) 6.96999e10 + 1.20724e11i 0.200556 + 0.347373i 0.948708 0.316155i \(-0.102392\pi\)
−0.748152 + 0.663527i \(0.769059\pi\)
\(368\) −1.23383e11 2.13706e11i −0.350704 0.607438i
\(369\) 2.10567e9 3.64713e9i 0.00591252 0.0102408i
\(370\) −2.81951e11 + 4.88353e11i −0.782106 + 1.35465i
\(371\) −1.54283e10 −0.0422801
\(372\) −2.80996e10 + 4.86699e10i −0.0760775 + 0.131770i
\(373\) −1.10331e11 + 1.91098e11i −0.295126 + 0.511172i −0.975014 0.222143i \(-0.928695\pi\)
0.679889 + 0.733315i \(0.262028\pi\)
\(374\) 4.28232e9 7.41720e9i 0.0113177 0.0196028i
\(375\) 1.07388e11 + 1.86002e11i 0.280425 + 0.485710i
\(376\) −2.58712e11 −0.667530
\(377\) 6.83960e11 + 1.18465e12i 1.74379 + 3.02034i
\(378\) −3.32996e11 + 5.76766e11i −0.838930 + 1.45307i
\(379\) −3.42097e10 −0.0851674 −0.0425837 0.999093i \(-0.513559\pi\)
−0.0425837 + 0.999093i \(0.513559\pi\)
\(380\) 2.16518e10 3.75021e10i 0.0532683 0.0922633i
\(381\) −3.37183e11 5.84018e11i −0.819792 1.41992i
\(382\) −2.71602e11 4.70428e11i −0.652600 1.13034i
\(383\) 5.93539e11 1.40947 0.704733 0.709472i \(-0.251067\pi\)
0.704733 + 0.709472i \(0.251067\pi\)
\(384\) 2.33695e11 + 4.04771e11i 0.548477 + 0.949990i
\(385\) 6.91159e10 0.160326
\(386\) 9.40214e11 2.15568
\(387\) −5.42790e10 4.03435e10i −0.123008 0.0914269i
\(388\) 2.16300e11 0.484521
\(389\) 3.56748e11 0.789929 0.394965 0.918696i \(-0.370757\pi\)
0.394965 + 0.918696i \(0.370757\pi\)
\(390\) 5.74153e11 + 9.94463e11i 1.25672 + 2.17670i
\(391\) −5.36251e10 −0.116031
\(392\) −1.51109e11 2.61728e11i −0.323223 0.559839i
\(393\) 2.17752e10 + 3.77158e10i 0.0460464 + 0.0797548i
\(394\) −3.80045e11 + 6.58258e11i −0.794516 + 1.37614i
\(395\) −7.28634e11 −1.50599
\(396\) 1.25416e9 2.17227e9i 0.00256286 0.00443901i
\(397\) −1.08121e11 1.87270e11i −0.218450 0.378366i 0.735885 0.677107i \(-0.236767\pi\)
−0.954334 + 0.298741i \(0.903433\pi\)
\(398\) −4.42140e11 −0.883254
\(399\) 7.91598e10 + 1.37109e11i 0.156360 + 0.270824i
\(400\) 1.57934e11 2.73550e11i 0.308465 0.534277i
\(401\) 3.55367e11 6.15513e11i 0.686321 1.18874i −0.286699 0.958021i \(-0.592558\pi\)
0.973020 0.230721i \(-0.0741086\pi\)
\(402\) 1.51892e11 2.63085e11i 0.290080 0.502433i
\(403\) 4.82513e11 0.911248
\(404\) 1.68976e11 2.92674e11i 0.315579 0.546598i
\(405\) 2.73212e11 4.73217e11i 0.504606 0.874003i
\(406\) −7.86598e11 1.36243e12i −1.43676 2.48855i
\(407\) 2.92137e10 + 5.05997e10i 0.0527731 + 0.0914056i
\(408\) 7.91159e10 0.141349
\(409\) 5.27617e11 0.932318 0.466159 0.884701i \(-0.345637\pi\)
0.466159 + 0.884701i \(0.345637\pi\)
\(410\) 3.14189e10 + 5.44191e10i 0.0549115 + 0.0951096i
\(411\) −3.81496e11 6.60770e11i −0.659480 1.14225i
\(412\) −7.98582e10 + 1.38318e11i −0.136547 + 0.236506i
\(413\) 5.91445e11 1.02441e12i 1.00032 1.73261i
\(414\) −6.08080e10 −0.101732
\(415\) 3.13603e11 5.43176e11i 0.518995 0.898926i
\(416\) −3.91403e11 + 6.77931e11i −0.640774 + 1.10985i
\(417\) 5.16218e10 8.94116e10i 0.0836028 0.144804i
\(418\) −8.68615e9 1.50448e10i −0.0139166 0.0241043i
\(419\) −1.03356e12 −1.63822 −0.819112 0.573633i \(-0.805533\pi\)
−0.819112 + 0.573633i \(0.805533\pi\)
\(420\) −1.70542e11 2.95387e11i −0.267430 0.463202i
\(421\) 5.34179e11 9.25226e11i 0.828739 1.43542i −0.0702890 0.997527i \(-0.522392\pi\)
0.899028 0.437891i \(-0.144275\pi\)
\(422\) 5.96790e11 0.916043
\(423\) −4.45066e10 + 7.70877e10i −0.0675916 + 0.117072i
\(424\) 7.81924e9 + 1.35433e10i 0.0117495 + 0.0203507i
\(425\) −3.43208e10 5.94454e10i −0.0510279 0.0883828i
\(426\) 1.33713e11 0.196713
\(427\) −6.83309e11 1.18353e12i −0.994699 1.72287i
\(428\) −2.05711e10 −0.0296320
\(429\) 1.18979e11 0.169595
\(430\) 9.26270e11 4.00411e11i 1.30656 0.564804i
\(431\) −5.84917e11 −0.816482 −0.408241 0.912874i \(-0.633858\pi\)
−0.408241 + 0.912874i \(0.633858\pi\)
\(432\) 9.42561e11 1.30207
\(433\) 2.31862e10 + 4.01597e10i 0.0316982 + 0.0549029i 0.881439 0.472297i \(-0.156575\pi\)
−0.849741 + 0.527200i \(0.823242\pi\)
\(434\) −5.54921e11 −0.750805
\(435\) 7.65527e11 + 1.32593e12i 1.02508 + 1.77550i
\(436\) 1.33378e11 + 2.31018e11i 0.176765 + 0.306166i
\(437\) −5.43858e10 + 9.41989e10i −0.0713377 + 0.123560i
\(438\) 1.08579e12 1.40966
\(439\) −2.60380e11 + 4.50991e11i −0.334593 + 0.579533i −0.983407 0.181415i \(-0.941932\pi\)
0.648813 + 0.760948i \(0.275266\pi\)
\(440\) −3.50288e10 6.06716e10i −0.0445541 0.0771700i
\(441\) −1.03982e11 −0.130913
\(442\) 1.81444e11 + 3.14270e11i 0.226122 + 0.391654i
\(443\) −2.37136e11 + 4.10731e11i −0.292536 + 0.506688i −0.974409 0.224783i \(-0.927833\pi\)
0.681872 + 0.731471i \(0.261166\pi\)
\(444\) 1.44169e11 2.49707e11i 0.176054 0.304935i
\(445\) 2.74912e11 4.76162e11i 0.332333 0.575619i
\(446\) −5.91554e10 −0.0707926
\(447\) 2.41809e11 4.18825e11i 0.286476 0.496191i
\(448\) −2.62101e11 + 4.53971e11i −0.307409 + 0.532448i
\(449\) 3.58702e11 + 6.21290e11i 0.416510 + 0.721416i 0.995586 0.0938577i \(-0.0299199\pi\)
−0.579076 + 0.815274i \(0.696587\pi\)
\(450\) −3.89180e10 6.74079e10i −0.0447398 0.0774916i
\(451\) 6.51081e9 0.00741038
\(452\) 8.78437e10 0.0989892
\(453\) −5.09373e11 8.82261e11i −0.568322 0.984362i
\(454\) −7.11097e11 1.23166e12i −0.785557 1.36062i
\(455\) −1.46424e12 + 2.53613e12i −1.60162 + 2.77409i
\(456\) 8.02382e10 1.38977e11i 0.0869039 0.150522i
\(457\) 8.90893e11 0.955439 0.477719 0.878513i \(-0.341464\pi\)
0.477719 + 0.878513i \(0.341464\pi\)
\(458\) −2.69102e11 + 4.66098e11i −0.285773 + 0.494974i
\(459\) 1.02414e11 1.77387e11i 0.107697 0.186537i
\(460\) 1.17169e11 2.02942e11i 0.122012 0.211331i
\(461\) 3.19854e11 + 5.54004e11i 0.329836 + 0.571293i 0.982479 0.186373i \(-0.0596732\pi\)
−0.652643 + 0.757665i \(0.726340\pi\)
\(462\) −1.36834e11 −0.139735
\(463\) 7.91734e11 + 1.37132e12i 0.800691 + 1.38684i 0.919162 + 0.393880i \(0.128867\pi\)
−0.118471 + 0.992958i \(0.537799\pi\)
\(464\) −1.11325e12 + 1.92821e12i −1.11497 + 1.93118i
\(465\) 5.40056e11 0.535674
\(466\) −5.58449e11 + 9.67262e11i −0.548588 + 0.950183i
\(467\) −3.49245e11 6.04910e11i −0.339785 0.588525i 0.644607 0.764514i \(-0.277021\pi\)
−0.984392 + 0.175989i \(0.943688\pi\)
\(468\) 5.31394e10 + 9.20402e10i 0.0512048 + 0.0886893i
\(469\) 7.74726e11 0.739384
\(470\) −6.64086e11 1.15023e12i −0.627746 1.08729i
\(471\) −1.57132e12 −1.47120
\(472\) −1.19900e12 −1.11194
\(473\) 1.20573e10 1.03859e11i 0.0110758 0.0954049i
\(474\) 1.44253e12 1.31257
\(475\) −1.39231e11 −0.125491
\(476\) −5.38947e10 9.33483e10i −0.0481188 0.0833441i
\(477\) 5.38063e9 0.00475883
\(478\) −4.32360e11 7.48869e11i −0.378809 0.656116i
\(479\) 8.28562e11 + 1.43511e12i 0.719143 + 1.24559i 0.961340 + 0.275365i \(0.0887987\pi\)
−0.242197 + 0.970227i \(0.577868\pi\)
\(480\) −4.38081e11 + 7.58778e11i −0.376677 + 0.652423i
\(481\) −2.47560e12 −2.10876
\(482\) 7.35335e11 1.27364e12i 0.620545 1.07482i
\(483\) 4.28373e11 + 7.41964e11i 0.358146 + 0.620327i
\(484\) −4.16502e11 −0.344996
\(485\) −1.03929e12 1.80010e12i −0.852898 1.47726i
\(486\) 2.16832e11 3.75563e11i 0.176303 0.305366i
\(487\) −8.22988e11 + 1.42546e12i −0.663000 + 1.14835i 0.316824 + 0.948484i \(0.397384\pi\)
−0.979824 + 0.199865i \(0.935950\pi\)
\(488\) −6.92618e11 + 1.19965e12i −0.552846 + 0.957558i
\(489\) 9.86094e11 0.779881
\(490\) 7.75761e11 1.34366e12i 0.607918 1.05295i
\(491\) 7.24460e11 1.25480e12i 0.562533 0.974335i −0.434742 0.900555i \(-0.643160\pi\)
0.997275 0.0737801i \(-0.0235063\pi\)
\(492\) −1.60653e10 2.78259e10i −0.0123608 0.0214095i
\(493\) 2.41922e11 + 4.19021e11i 0.184444 + 0.319466i
\(494\) 7.36071e11 0.556094
\(495\) −2.41042e10 −0.0180455
\(496\) 3.92683e11 + 6.80146e11i 0.291323 + 0.504585i
\(497\) 1.70501e11 + 2.95317e11i 0.125350 + 0.217113i
\(498\) −6.20863e11 + 1.07537e12i −0.452339 + 0.783473i
\(499\) 9.72151e11 1.68381e12i 0.701909 1.21574i −0.265886 0.964005i \(-0.585664\pi\)
0.967795 0.251738i \(-0.0810022\pi\)
\(500\) −2.96603e11 −0.212232
\(501\) −4.44436e11 + 7.69785e11i −0.315166 + 0.545883i
\(502\) −1.73538e11 + 3.00577e11i −0.121963 + 0.211246i
\(503\) 1.02567e12 1.77651e12i 0.714415 1.23740i −0.248770 0.968562i \(-0.580026\pi\)
0.963185 0.268840i \(-0.0866402\pi\)
\(504\) 1.14396e11 + 1.98139e11i 0.0789718 + 0.136783i
\(505\) −3.24760e12 −2.22204
\(506\) −4.70051e10 8.14151e10i −0.0318763 0.0552113i
\(507\) −1.83609e12 + 3.18021e12i −1.23412 + 2.13757i
\(508\) 9.31289e11 0.620437
\(509\) 7.54568e11 1.30695e12i 0.498274 0.863036i −0.501724 0.865028i \(-0.667301\pi\)
0.999998 + 0.00199170i \(0.000633978\pi\)
\(510\) 2.03082e11 + 3.51749e11i 0.132925 + 0.230233i
\(511\) 1.38452e12 + 2.39807e12i 0.898270 + 1.55585i
\(512\) 1.69745e11 0.109165
\(513\) −2.07734e11 3.59807e11i −0.132428 0.229372i
\(514\) −1.55125e12 −0.980274
\(515\) 1.53482e12 0.961449
\(516\) −4.73625e11 + 2.04740e11i −0.294111 + 0.127139i
\(517\) −1.37616e11 −0.0847151
\(518\) 2.84709e12 1.73747
\(519\) −8.13952e11 1.40981e12i −0.492431 0.852916i
\(520\) 2.96837e12 1.78034
\(521\) −1.20437e12 2.08603e12i −0.716128 1.24037i −0.962523 0.271200i \(-0.912579\pi\)
0.246395 0.969169i \(-0.420754\pi\)
\(522\) 2.74327e11 + 4.75148e11i 0.161715 + 0.280099i
\(523\) −1.14521e12 + 1.98356e12i −0.669310 + 1.15928i 0.308788 + 0.951131i \(0.400077\pi\)
−0.978098 + 0.208147i \(0.933257\pi\)
\(524\) −6.01424e10 −0.0348490
\(525\) −5.48330e11 + 9.49735e11i −0.315010 + 0.545614i
\(526\) −1.93174e12 3.34587e12i −1.10031 1.90578i
\(527\) 1.70668e11 0.0963841
\(528\) 9.68288e10 + 1.67712e11i 0.0542190 + 0.0939101i
\(529\) 6.06268e11 1.05009e12i 0.336600 0.583008i
\(530\) −4.01424e10 + 6.95286e10i −0.0220984 + 0.0382756i
\(531\) −2.06267e11 + 3.57264e11i −0.112591 + 0.195013i
\(532\) −2.18637e11 −0.118337
\(533\) −1.37933e11 + 2.38907e11i −0.0740279 + 0.128220i
\(534\) −5.44264e11 + 9.42693e11i −0.289650 + 0.501689i
\(535\) 9.88411e10 + 1.71198e11i 0.0521609 + 0.0903454i
\(536\) −3.92640e11 6.80073e11i −0.205472 0.355888i
\(537\) −1.77646e12 −0.921875
\(538\) 1.92584e11 0.0991063
\(539\) −8.03788e10 1.39220e11i −0.0410197 0.0710482i
\(540\) 4.47544e11 + 7.75168e11i 0.226498 + 0.392305i
\(541\) 1.10467e12 1.91335e12i 0.554428 0.960297i −0.443520 0.896265i \(-0.646270\pi\)
0.997948 0.0640327i \(-0.0203962\pi\)
\(542\) −1.23065e11 + 2.13154e11i −0.0612544 + 0.106096i
\(543\) −8.71198e11 −0.430049
\(544\) −1.38442e11 + 2.39789e11i −0.0677756 + 0.117391i
\(545\) 1.28172e12 2.22001e12i 0.622315 1.07788i
\(546\) 2.89886e12 5.02096e12i 1.39592 2.41780i
\(547\) −6.93915e11 1.20190e12i −0.331408 0.574016i 0.651380 0.758752i \(-0.274190\pi\)
−0.982788 + 0.184736i \(0.940857\pi\)
\(548\) 1.05368e12 0.499109
\(549\) 2.38304e11 + 4.12755e11i 0.111958 + 0.193918i
\(550\) 6.01678e10 1.04214e11i 0.0280370 0.0485616i
\(551\) 9.81414e11 0.453597
\(552\) 4.34209e11 7.52072e11i 0.199055 0.344773i
\(553\) 1.83941e12 + 3.18595e12i 0.836401 + 1.44869i
\(554\) 9.16966e11 + 1.58823e12i 0.413580 + 0.716341i
\(555\) −2.77083e12 −1.23963
\(556\) 7.12889e10 + 1.23476e11i 0.0316363 + 0.0547956i
\(557\) 1.99126e12 0.876558 0.438279 0.898839i \(-0.355588\pi\)
0.438279 + 0.898839i \(0.355588\pi\)
\(558\) 1.93529e11 0.0845069
\(559\) 3.55556e12 + 2.64271e12i 1.54012 + 1.14471i
\(560\) −4.76654e12 −2.04813
\(561\) 4.20839e10 0.0179384
\(562\) 4.04824e11 + 7.01175e11i 0.171180 + 0.296492i
\(563\) 2.84503e12 1.19343 0.596717 0.802451i \(-0.296471\pi\)
0.596717 + 0.802451i \(0.296471\pi\)
\(564\) 3.39564e11 + 5.88142e11i 0.141308 + 0.244752i
\(565\) −4.22075e11 7.31056e11i −0.174250 0.301809i
\(566\) −3.94261e11 + 6.82880e11i −0.161477 + 0.279686i
\(567\) −2.75885e12 −1.12100
\(568\) 1.72824e11 2.99340e11i 0.0696686 0.120670i
\(569\) −1.06048e12 1.83681e12i −0.424130 0.734615i 0.572209 0.820108i \(-0.306087\pi\)
−0.996339 + 0.0854932i \(0.972753\pi\)
\(570\) 8.23852e11 0.326898
\(571\) 1.13655e12 + 1.96856e12i 0.447430 + 0.774972i 0.998218 0.0596737i \(-0.0190060\pi\)
−0.550788 + 0.834645i \(0.685673\pi\)
\(572\) −8.21543e10 + 1.42296e11i −0.0320884 + 0.0555788i
\(573\) 1.33456e12 2.31153e12i 0.517181 0.895784i
\(574\) 1.58632e11 2.74758e11i 0.0609938 0.105644i
\(575\) −7.53447e11 −0.287440
\(576\) 9.14077e10 1.58323e11i 0.0346004 0.0599297i
\(577\) −2.03820e12 + 3.53027e12i −0.765520 + 1.32592i 0.174452 + 0.984666i \(0.444185\pi\)
−0.939971 + 0.341253i \(0.889149\pi\)
\(578\) −1.49366e12 2.58710e12i −0.556644 0.964137i
\(579\) 2.30995e12 + 4.00095e12i 0.854180 + 1.47948i
\(580\) −2.11436e12 −0.775806
\(581\) −3.16671e12 −1.15296
\(582\) 2.05755e12 + 3.56378e12i 0.743356 + 1.28753i
\(583\) 4.15927e9 + 7.20406e9i 0.00149111 + 0.00258267i
\(584\) 1.40339e12 2.43074e12i 0.499252 0.864729i
\(585\) 5.10653e11 8.84477e11i 0.180270 0.312238i
\(586\) 1.30283e12 0.456403
\(587\) −1.69547e12 + 2.93664e12i −0.589411 + 1.02089i 0.404899 + 0.914361i \(0.367307\pi\)
−0.994310 + 0.106528i \(0.966027\pi\)
\(588\) −3.96666e11 + 6.87045e11i −0.136844 + 0.237021i
\(589\) 1.73089e11 2.99800e11i 0.0592586 0.102639i
\(590\) −3.07772e12 5.33077e12i −1.04567 1.81115i
\(591\) −3.73484e12 −1.25930
\(592\) −2.01471e12 3.48958e12i −0.674163 1.16768i
\(593\) 8.18004e10 1.41682e11i 0.0271650 0.0470511i −0.852123 0.523341i \(-0.824685\pi\)
0.879288 + 0.476290i \(0.158019\pi\)
\(594\) 3.59085e11 0.118347
\(595\) −5.17911e11 + 8.97048e11i −0.169406 + 0.293420i
\(596\) 3.33934e11 + 5.78391e11i 0.108406 + 0.187764i
\(597\) −1.08627e12 1.88147e12i −0.349987 0.606194i
\(598\) 3.98325e12 1.27374
\(599\) −7.96440e11 1.37947e12i −0.252774 0.437817i 0.711515 0.702671i \(-0.248010\pi\)
−0.964289 + 0.264854i \(0.914676\pi\)
\(600\) 1.11160e12 0.350161
\(601\) 5.19470e12 1.62415 0.812073 0.583556i \(-0.198339\pi\)
0.812073 + 0.583556i \(0.198339\pi\)
\(602\) −4.08913e12 3.03929e12i −1.26896 0.943165i
\(603\) −2.70186e11 −0.0832214
\(604\) 1.40687e12 0.430119
\(605\) 2.00123e12 + 3.46623e12i 0.607292 + 1.05186i
\(606\) 6.42952e12 1.93665
\(607\) −1.01289e12 1.75438e12i −0.302841 0.524536i 0.673937 0.738789i \(-0.264602\pi\)
−0.976778 + 0.214252i \(0.931268\pi\)
\(608\) 2.80812e11 + 4.86381e11i 0.0833393 + 0.144348i
\(609\) 3.86509e12 6.69453e12i 1.13863 1.97216i
\(610\) −7.11151e12 −2.07959
\(611\) 2.91542e12 5.04965e12i 0.846282 1.46580i
\(612\) 1.87958e10 + 3.25553e10i 0.00541601 + 0.00938080i
\(613\) 2.45635e12 0.702615 0.351307 0.936260i \(-0.385737\pi\)
0.351307 + 0.936260i \(0.385737\pi\)
\(614\) 1.89681e12 + 3.28537e12i 0.538600 + 0.932882i
\(615\) −1.54382e11 + 2.67398e11i −0.0435170 + 0.0753737i
\(616\) −1.76857e11 + 3.06326e11i −0.0494892 + 0.0857178i
\(617\) −8.22244e11 + 1.42417e12i −0.228411 + 0.395620i −0.957337 0.288972i \(-0.906686\pi\)
0.728926 + 0.684592i \(0.240020\pi\)
\(618\) −3.03861e12 −0.837966
\(619\) −1.05658e11 + 1.83005e11i −0.0289265 + 0.0501021i −0.880126 0.474740i \(-0.842542\pi\)
0.851200 + 0.524842i \(0.175876\pi\)
\(620\) −3.72904e11 + 6.45889e11i −0.101353 + 0.175548i
\(621\) −1.12415e12 1.94709e12i −0.303329 0.525381i
\(622\) 1.52618e12 + 2.64342e12i 0.408835 + 0.708123i
\(623\) −2.77602e12 −0.738289
\(624\) −8.20535e12 −2.16654
\(625\) 2.38417e12 + 4.12950e12i 0.624996 + 1.08252i
\(626\) −8.33151e11 1.44306e12i −0.216840 0.375578i
\(627\) 4.26809e10 7.39255e10i 0.0110288 0.0191025i
\(628\) 1.08498e12 1.87925e12i 0.278359 0.482132i
\(629\) −8.75636e11 −0.223047
\(630\) −5.87283e11 + 1.01720e12i −0.148530 + 0.257262i
\(631\) −3.59449e12 + 6.22583e12i −0.902619 + 1.56338i −0.0785378 + 0.996911i \(0.525025\pi\)
−0.824081 + 0.566471i \(0.808308\pi\)
\(632\) 1.86447e12 3.22935e12i 0.464866 0.805171i
\(633\) 1.46622e12 + 2.53956e12i 0.362979 + 0.628698i
\(634\) 4.64054e12 1.14069
\(635\) −4.47470e12 7.75040e12i −1.09215 1.89166i
\(636\) 2.05258e10 3.55517e10i 0.00497443 0.00861596i
\(637\) 6.81137e12 1.63911
\(638\) −4.24113e11 + 7.34585e11i −0.101342 + 0.175529i
\(639\) −5.94625e10 1.02992e11i −0.0141088 0.0244371i
\(640\) 3.10132e12 + 5.37164e12i 0.730696 + 1.26560i
\(641\) 2.41051e12 0.563959 0.281979 0.959420i \(-0.409009\pi\)
0.281979 + 0.959420i \(0.409009\pi\)
\(642\) −1.95683e11 3.38933e11i −0.0454617 0.0787419i
\(643\) 1.82972e12 0.422120 0.211060 0.977473i \(-0.432308\pi\)
0.211060 + 0.977473i \(0.432308\pi\)
\(644\) −1.18315e12 −0.271053
\(645\) 3.97959e12 + 2.95787e12i 0.905356 + 0.672916i
\(646\) 2.60354e11 0.0588190
\(647\) −4.05390e12 −0.909502 −0.454751 0.890619i \(-0.650272\pi\)
−0.454751 + 0.890619i \(0.650272\pi\)
\(648\) 1.39822e12 + 2.42179e12i 0.311521 + 0.539570i
\(649\) −6.37783e11 −0.141115
\(650\) 2.54934e12 + 4.41558e12i 0.560166 + 0.970236i
\(651\) −1.36335e12 2.36139e12i −0.297504 0.515292i
\(652\) −6.80890e11 + 1.17934e12i −0.147558 + 0.255578i
\(653\) −6.01130e12 −1.29378 −0.646888 0.762585i \(-0.723930\pi\)
−0.646888 + 0.762585i \(0.723930\pi\)
\(654\) −2.53752e12 + 4.39512e12i −0.542388 + 0.939444i
\(655\) 2.88975e11 + 5.00519e11i 0.0613443 + 0.106251i
\(656\) −4.49014e11 −0.0946657
\(657\) −4.82854e11 8.36327e11i −0.101105 0.175119i
\(658\) −3.35292e12 + 5.80742e12i −0.697278 + 1.20772i
\(659\) −1.89163e12 + 3.27639e12i −0.390707 + 0.676724i −0.992543 0.121896i \(-0.961103\pi\)
0.601836 + 0.798620i \(0.294436\pi\)
\(660\) −9.19518e10 + 1.59265e11i −0.0188631 + 0.0326718i
\(661\) −4.15522e12 −0.846617 −0.423309 0.905986i \(-0.639131\pi\)
−0.423309 + 0.905986i \(0.639131\pi\)
\(662\) 2.99805e12 5.19277e12i 0.606705 1.05084i
\(663\) −8.91556e11 + 1.54422e12i −0.179200 + 0.310383i
\(664\) 1.60493e12 + 2.77981e12i 0.320405 + 0.554957i
\(665\) 1.05052e12 + 1.81955e12i 0.208308 + 0.360799i
\(666\) −9.92926e11 −0.195561
\(667\) 5.31092e12 1.03897
\(668\) −6.13759e11 1.06306e12i −0.119262 0.206569i
\(669\) −1.45335e11 2.51728e11i −0.0280513 0.0485863i
\(670\) 2.01573e12 3.49135e12i 0.386453 0.669356i
\(671\) −3.68422e11 + 6.38126e11i −0.0701608 + 0.121522i
\(672\) 4.42367e12 0.836799
\(673\) −2.23193e12 + 3.86581e12i −0.419384 + 0.726395i −0.995878 0.0907071i \(-0.971087\pi\)
0.576493 + 0.817102i \(0.304421\pi\)
\(674\) −7.06219e11 + 1.22321e12i −0.131816 + 0.228313i
\(675\) 1.43895e12 2.49233e12i 0.266796 0.462104i
\(676\) −2.53562e12 4.39182e12i −0.467007 0.808880i
\(677\) −5.45008e12 −0.997135 −0.498568 0.866851i \(-0.666140\pi\)
−0.498568 + 0.866851i \(0.666140\pi\)
\(678\) 8.35613e11 + 1.44733e12i 0.151870 + 0.263046i
\(679\) −5.24727e12 + 9.08854e12i −0.947370 + 1.64089i
\(680\) 1.04993e12 0.188309
\(681\) 3.49410e12 6.05196e12i 0.622549 1.07829i
\(682\) 1.49599e11 + 2.59114e11i 0.0264789 + 0.0458628i
\(683\) −4.21236e12 7.29603e12i −0.740683 1.28290i −0.952185 0.305523i \(-0.901169\pi\)
0.211501 0.977378i \(-0.432165\pi\)
\(684\) 7.62497e10 0.0133194
\(685\) −5.06276e12 8.76896e12i −0.878577 1.52174i
\(686\) 1.33739e12 0.230568
\(687\) −2.64456e12 −0.452947
\(688\) −8.31526e11 + 7.16260e12i −0.141491 + 1.21877i
\(689\) −3.52460e11 −0.0595831
\(690\) 4.45828e12 0.748766
\(691\) −2.32930e12 4.03446e12i −0.388663 0.673184i 0.603607 0.797282i \(-0.293730\pi\)
−0.992270 + 0.124098i \(0.960396\pi\)
\(692\) 2.24811e12 0.372683
\(693\) 6.08502e10 + 1.05396e11i 0.0100222 + 0.0173589i
\(694\) −9.31573e11 1.61353e12i −0.152440 0.264034i
\(695\) 6.85064e11 1.18657e12i 0.111378 0.192912i
\(696\) −7.83548e12 −1.26568
\(697\) −4.87878e10 + 8.45030e10i −0.00783004 + 0.0135620i
\(698\) −2.83615e12 4.91235e12i −0.452251 0.783322i
\(699\) −5.48807e12 −0.869506
\(700\) −7.57235e11 1.31157e12i −0.119204 0.206467i
\(701\) −4.13781e11 + 7.16690e11i −0.0647202 + 0.112099i −0.896570 0.442902i \(-0.853949\pi\)
0.831850 + 0.555001i \(0.187282\pi\)
\(702\) −7.60730e12 + 1.31762e13i −1.18226 + 2.04774i
\(703\) −8.88058e11 + 1.53816e12i −0.137133 + 0.237522i
\(704\) 2.82636e11 0.0433660
\(705\) 3.26310e12 5.65186e12i 0.497484 0.861668i
\(706\) 2.33267e12 4.04030e12i 0.353372 0.612058i
\(707\) 8.19845e12 + 1.42001e13i 1.23408 + 2.13749i
\(708\) 1.57372e12 + 2.72576e12i 0.235384 + 0.407697i
\(709\) −6.12424e12 −0.910216 −0.455108 0.890436i \(-0.650399\pi\)
−0.455108 + 0.890436i \(0.650399\pi\)
\(710\) 1.77449e12 0.262066
\(711\) −6.41494e11 1.11110e12i −0.0941412 0.163057i
\(712\) 1.40692e12 + 2.43686e12i 0.205168 + 0.355361i
\(713\) 9.36673e11 1.62237e12i 0.135733 0.235096i
\(714\) 1.02535e12 1.77595e12i 0.147648 0.255734i
\(715\) 1.57895e12 0.225940
\(716\) 1.22663e12 2.12459e12i 0.174424 0.302111i
\(717\) 2.12448e12 3.67970e12i 0.300203 0.519967i
\(718\) −3.00319e12 + 5.20168e12i −0.421719 + 0.730439i
\(719\) 4.37534e12 + 7.57832e12i 0.610565 + 1.05753i 0.991145 + 0.132782i \(0.0423911\pi\)
−0.380580 + 0.924748i \(0.624276\pi\)
\(720\) 1.66233e12 0.230527
\(721\) −3.87460e12 6.71101e12i −0.533972 0.924867i
\(722\) −3.97498e12 + 6.88486e12i −0.544399 + 0.942926i
\(723\) 7.22639e12 0.983556
\(724\) 6.01555e11 1.04192e12i 0.0813677 0.140933i
\(725\) 3.39907e12 + 5.88736e12i 0.456918 + 0.791406i
\(726\) −3.96198e12 6.86235e12i −0.529295 0.916765i
\(727\) 3.91580e12 0.519895 0.259947 0.965623i \(-0.416295\pi\)
0.259947 + 0.965623i \(0.416295\pi\)
\(728\) −7.49352e12 1.29792e13i −0.988769 1.71260i
\(729\) 8.40863e12 1.10268
\(730\) 1.44094e13 1.87799
\(731\) 1.25763e12 + 9.34746e11i 0.162901 + 0.121078i
\(732\) 3.63629e12 0.468122
\(733\) 5.92042e12 0.757504 0.378752 0.925498i \(-0.376353\pi\)
0.378752 + 0.925498i \(0.376353\pi\)
\(734\) −1.83124e12 3.17180e12i −0.232870 0.403343i
\(735\) 7.62367e12 0.963543
\(736\) 1.51961e12 + 2.63205e12i 0.190890 + 0.330631i
\(737\) −2.08856e11 3.61749e11i −0.0260761 0.0451652i
\(738\) −5.53228e10 + 9.58220e10i −0.00686516 + 0.0118908i
\(739\) 4.70161e12 0.579892 0.289946 0.957043i \(-0.406363\pi\)
0.289946 + 0.957043i \(0.406363\pi\)
\(740\) 1.91323e12 3.31382e12i 0.234545 0.406243i
\(741\) 1.80841e12 + 3.13225e12i 0.220351 + 0.381658i
\(742\) 4.05351e11 0.0490924
\(743\) −4.52642e12 7.83998e12i −0.544885 0.943769i −0.998614 0.0526289i \(-0.983240\pi\)
0.453729 0.891140i \(-0.350093\pi\)
\(744\) −1.38192e12 + 2.39356e12i −0.165351 + 0.286396i
\(745\) 3.20900e12 5.55815e12i 0.381651 0.661039i
\(746\) 2.89874e12 5.02077e12i 0.342677 0.593534i
\(747\) 1.10439e12 0.129772
\(748\) −2.90586e10 + 5.03309e10i −0.00339404 + 0.00587865i
\(749\) 4.99041e11 8.64364e11i 0.0579386 0.100353i
\(750\) −2.82144e12 4.88688e12i −0.325608 0.563970i
\(751\) 6.73678e12 + 1.16685e13i 0.772810 + 1.33855i 0.936017 + 0.351955i \(0.114483\pi\)
−0.163207 + 0.986592i \(0.552184\pi\)
\(752\) 9.49059e12 1.08221
\(753\) −1.70542e12 −0.193310
\(754\) −1.79698e13 3.11247e13i −2.02476 3.50699i
\(755\) −6.75980e12 1.17083e13i −0.757134 1.31139i
\(756\) 2.25961e12 3.91376e12i 0.251586 0.435759i
\(757\) 4.08987e11 7.08387e11i 0.0452667 0.0784042i −0.842504 0.538690i \(-0.818920\pi\)
0.887771 + 0.460285i \(0.152253\pi\)
\(758\) 8.98800e11 0.0988898
\(759\) 2.30968e11 4.00047e11i 0.0252617 0.0437546i
\(760\) 1.06483e12 1.84433e12i 0.115776 0.200530i
\(761\) −7.30966e12 + 1.26607e13i −0.790071 + 1.36844i 0.135851 + 0.990729i \(0.456623\pi\)
−0.925922 + 0.377714i \(0.876710\pi\)
\(762\) 8.85889e12 + 1.53440e13i 0.951879 + 1.64870i
\(763\) −1.29426e13 −1.38249