Properties

Label 43.10.c.a.6.4
Level 43
Weight 10
Character 43.6
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 6.4
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.4

$q$-expansion

\(f(q)\) \(=\) \(q-38.7934 q^{2} +(-85.4891 + 148.071i) q^{3} +992.932 q^{4} +(642.710 - 1113.21i) q^{5} +(3316.42 - 5744.20i) q^{6} +(-2797.86 - 4846.03i) q^{7} -18657.0 q^{8} +(-4775.28 - 8271.02i) q^{9} +O(q^{10})\) \(q-38.7934 q^{2} +(-85.4891 + 148.071i) q^{3} +992.932 q^{4} +(642.710 - 1113.21i) q^{5} +(3316.42 - 5744.20i) q^{6} +(-2797.86 - 4846.03i) q^{7} -18657.0 q^{8} +(-4775.28 - 8271.02i) q^{9} +(-24932.9 + 43185.1i) q^{10} +39952.5 q^{11} +(-84884.9 + 147025. i) q^{12} +(17994.0 + 31166.4i) q^{13} +(108539. + 187994. i) q^{14} +(109889. + 190334. i) q^{15} +215388. q^{16} +(-57239.6 - 99141.9i) q^{17} +(185250. + 320862. i) q^{18} +(-90037.1 + 155949. i) q^{19} +(638167. - 1.10534e6i) q^{20} +956746. q^{21} -1.54990e6 q^{22} +(-1.09202e6 + 1.89144e6i) q^{23} +(1.59497e6 - 2.76257e6i) q^{24} +(150411. + 260520. i) q^{25} +(-698048. - 1.20905e6i) q^{26} -1.73243e6 q^{27} +(-2.77808e6 - 4.81178e6i) q^{28} +(-1.63261e6 - 2.82777e6i) q^{29} +(-4.26299e6 - 7.38371e6i) q^{30} +(1.87091e6 - 3.24050e6i) q^{31} +1.19673e6 q^{32} +(-3.41551e6 + 5.91583e6i) q^{33} +(2.22052e6 + 3.84606e6i) q^{34} -7.19284e6 q^{35} +(-4.74152e6 - 8.21256e6i) q^{36} +(5.71339e6 - 9.89589e6i) q^{37} +(3.49285e6 - 6.04979e6i) q^{38} -6.15315e6 q^{39} +(-1.19910e7 + 2.07691e7i) q^{40} +1.08532e7 q^{41} -3.71155e7 q^{42} +(-5.71493e6 - 2.16779e7i) q^{43} +3.96701e7 q^{44} -1.22765e7 q^{45} +(4.23633e7 - 7.33754e7i) q^{46} -2.27238e6 q^{47} +(-1.84134e7 + 3.18929e7i) q^{48} +(4.52078e6 - 7.83022e6i) q^{49} +(-5.83498e6 - 1.01065e7i) q^{50} +1.95735e7 q^{51} +(1.78668e7 + 3.09462e7i) q^{52} +(-5.16064e7 + 8.93849e7i) q^{53} +6.72068e7 q^{54} +(2.56779e7 - 4.44754e7i) q^{55} +(5.21996e7 + 9.04124e7i) q^{56} +(-1.53944e7 - 2.66638e7i) q^{57} +(6.33347e7 + 1.09699e8i) q^{58} -1.26280e8 q^{59} +(1.09113e8 + 1.88989e8i) q^{60} +(4.15514e7 + 7.19691e7i) q^{61} +(-7.25789e7 + 1.25710e8i) q^{62} +(-2.67211e7 + 4.62823e7i) q^{63} -1.56704e8 q^{64} +4.62595e7 q^{65} +(1.32499e8 - 2.29495e8i) q^{66} +(2.42126e7 - 4.19374e7i) q^{67} +(-5.68350e7 - 9.84411e7i) q^{68} +(-1.86712e8 - 3.23395e8i) q^{69} +2.79035e8 q^{70} +(3.47181e6 + 6.01335e6i) q^{71} +(8.90924e7 + 1.54312e8i) q^{72} +(-2.17502e8 - 3.76724e8i) q^{73} +(-2.21642e8 + 3.83896e8i) q^{74} -5.14342e7 q^{75} +(-8.94006e7 + 1.54846e8i) q^{76} +(-1.11781e8 - 1.93611e8i) q^{77} +2.38702e8 q^{78} +(-8.02193e7 - 1.38944e8i) q^{79} +(1.38432e8 - 2.39771e8i) q^{80} +(2.42095e8 - 4.19322e8i) q^{81} -4.21032e8 q^{82} +(-6.65634e7 + 1.15291e8i) q^{83} +9.49983e8 q^{84} -1.47154e8 q^{85} +(2.21702e8 + 8.40961e8i) q^{86} +5.58283e8 q^{87} -7.45394e8 q^{88} +(2.79519e8 - 4.84141e8i) q^{89} +4.76247e8 q^{90} +(1.00689e8 - 1.74399e8i) q^{91} +(-1.08430e9 + 1.87807e9i) q^{92} +(3.19884e8 + 5.54056e8i) q^{93} +8.81533e7 q^{94} +(1.15735e8 + 2.00460e8i) q^{95} +(-1.02307e8 + 1.77201e8i) q^{96} -2.58216e8 q^{97} +(-1.75377e8 + 3.03761e8i) q^{98} +(-1.90784e8 - 3.30448e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} + O(q^{10}) \) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} - 6237q^{10} - 180682q^{11} + 274344q^{12} + 115245q^{13} - 171208q^{14} + 138833q^{15} + 4289206q^{16} + 65180q^{17} + 603985q^{18} + 39150q^{19} - 2709775q^{20} - 3105162q^{21} + 598456q^{22} + 1285907q^{23} - 292550q^{24} - 14709917q^{25} + 5332695q^{26} - 20118002q^{27} - 5475298q^{28} + 1274091q^{29} + 28424751q^{30} + 2899781q^{31} - 16322030q^{32} + 30668912q^{33} + 6822099q^{34} - 14750922q^{35} - 113819232q^{36} - 13772217q^{37} + 2700532q^{38} + 49876982q^{39} - 55802359q^{40} + 5375394q^{41} - 62768266q^{42} - 4250879q^{43} - 125171958q^{44} + 74719384q^{45} - 91405220q^{46} + 46104596q^{47} + 294588191q^{48} - 233221733q^{49} + 380339342q^{50} + 229598406q^{51} + 166281612q^{52} + 125396641q^{53} - 137752484q^{54} + 139471854q^{55} + 41104589q^{56} - 289586721q^{57} - 183782516q^{58} - 637949078q^{59} - 70735747q^{60} - 95573327q^{61} + 181277053q^{62} + 226632970q^{63} + 712599660q^{64} - 498753718q^{65} - 349240445q^{66} - 276270786q^{67} + 1034771928q^{68} - 199705103q^{69} + 1780847990q^{70} + 651945247q^{71} - 270063054q^{72} - 182725322q^{73} - 193737672q^{74} - 3155252572q^{75} + 492133584q^{76} + 216024528q^{77} + 2562586420q^{78} - 376932221q^{79} - 783129021q^{80} - 2146956496q^{81} + 2373824428q^{82} + 1008544071q^{83} - 9413139208q^{84} - 1131353054q^{85} - 1641459050q^{86} + 5060470018q^{87} + 369936980q^{88} + 2244184366q^{89} + 3302428348q^{90} + 3951711q^{91} + 4361095637q^{92} + 3133616089q^{93} + 3002217406q^{94} + 1515822931q^{95} + 69408612q^{96} - 6951085934q^{97} + 1120193981q^{98} + 1264470179q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −38.7934 −1.71444 −0.857222 0.514947i \(-0.827812\pi\)
−0.857222 + 0.514947i \(0.827812\pi\)
\(3\) −85.4891 + 148.071i −0.609348 + 1.05542i 0.382000 + 0.924162i \(0.375235\pi\)
−0.991348 + 0.131259i \(0.958098\pi\)
\(4\) 992.932 1.93932
\(5\) 642.710 1113.21i 0.459886 0.796545i −0.539069 0.842262i \(-0.681224\pi\)
0.998954 + 0.0457166i \(0.0145571\pi\)
\(6\) 3316.42 5744.20i 1.04469 1.80946i
\(7\) −2797.86 4846.03i −0.440438 0.762861i 0.557284 0.830322i \(-0.311843\pi\)
−0.997722 + 0.0674613i \(0.978510\pi\)
\(8\) −18657.0 −1.61041
\(9\) −4775.28 8271.02i −0.242609 0.420212i
\(10\) −24932.9 + 43185.1i −0.788448 + 1.36563i
\(11\) 39952.5 0.822767 0.411384 0.911462i \(-0.365046\pi\)
0.411384 + 0.911462i \(0.365046\pi\)
\(12\) −84884.9 + 147025.i −1.18172 + 2.04680i
\(13\) 17994.0 + 31166.4i 0.174736 + 0.302651i 0.940070 0.340982i \(-0.110760\pi\)
−0.765334 + 0.643633i \(0.777426\pi\)
\(14\) 108539. + 187994.i 0.755106 + 1.30788i
\(15\) 109889. + 190334.i 0.560460 + 0.970746i
\(16\) 215388. 0.821641
\(17\) −57239.6 99141.9i −0.166217 0.287897i 0.770870 0.636993i \(-0.219822\pi\)
−0.937087 + 0.349096i \(0.886489\pi\)
\(18\) 185250. + 320862.i 0.415940 + 0.720429i
\(19\) −90037.1 + 155949.i −0.158500 + 0.274531i −0.934328 0.356414i \(-0.883999\pi\)
0.775828 + 0.630945i \(0.217333\pi\)
\(20\) 638167. 1.10534e6i 0.891865 1.54476i
\(21\) 956746. 1.07352
\(22\) −1.54990e6 −1.41059
\(23\) −1.09202e6 + 1.89144e6i −0.813685 + 1.40934i 0.0965834 + 0.995325i \(0.469209\pi\)
−0.910268 + 0.414019i \(0.864125\pi\)
\(24\) 1.59497e6 2.76257e6i 0.981301 1.69966i
\(25\) 150411. + 260520.i 0.0770106 + 0.133386i
\(26\) −698048. 1.20905e6i −0.299575 0.518878i
\(27\) −1.73243e6 −0.627362
\(28\) −2.77808e6 4.81178e6i −0.854150 1.47943i
\(29\) −1.63261e6 2.82777e6i −0.428640 0.742426i 0.568113 0.822951i \(-0.307674\pi\)
−0.996753 + 0.0805250i \(0.974340\pi\)
\(30\) −4.26299e6 7.38371e6i −0.960878 1.66429i
\(31\) 1.87091e6 3.24050e6i 0.363852 0.630209i −0.624740 0.780833i \(-0.714795\pi\)
0.988591 + 0.150624i \(0.0481282\pi\)
\(32\) 1.19673e6 0.201753
\(33\) −3.41551e6 + 5.91583e6i −0.501351 + 0.868366i
\(34\) 2.22052e6 + 3.84606e6i 0.284970 + 0.493583i
\(35\) −7.19284e6 −0.810204
\(36\) −4.74152e6 8.21256e6i −0.470497 0.814925i
\(37\) 5.71339e6 9.89589e6i 0.501171 0.868054i −0.498828 0.866701i \(-0.666236\pi\)
0.999999 0.00135325i \(-0.000430752\pi\)
\(38\) 3.49285e6 6.04979e6i 0.271740 0.470667i
\(39\) −6.15315e6 −0.425899
\(40\) −1.19910e7 + 2.07691e7i −0.740605 + 1.28277i
\(41\) 1.08532e7 0.599831 0.299916 0.953966i \(-0.403041\pi\)
0.299916 + 0.953966i \(0.403041\pi\)
\(42\) −3.71155e7 −1.84049
\(43\) −5.71493e6 2.16779e7i −0.254920 0.966962i
\(44\) 3.96701e7 1.59561
\(45\) −1.22765e7 −0.446290
\(46\) 4.23633e7 7.33754e7i 1.39502 2.41624i
\(47\) −2.27238e6 −0.0679266 −0.0339633 0.999423i \(-0.510813\pi\)
−0.0339633 + 0.999423i \(0.510813\pi\)
\(48\) −1.84134e7 + 3.18929e7i −0.500665 + 0.867178i
\(49\) 4.52078e6 7.83022e6i 0.112029 0.194040i
\(50\) −5.83498e6 1.01065e7i −0.132030 0.228683i
\(51\) 1.95735e7 0.405137
\(52\) 1.78668e7 + 3.09462e7i 0.338868 + 0.586937i
\(53\) −5.16064e7 + 8.93849e7i −0.898384 + 1.55605i −0.0688242 + 0.997629i \(0.521925\pi\)
−0.829560 + 0.558418i \(0.811409\pi\)
\(54\) 6.72068e7 1.07558
\(55\) 2.56779e7 4.44754e7i 0.378379 0.655371i
\(56\) 5.21996e7 + 9.04124e7i 0.709286 + 1.22852i
\(57\) −1.53944e7 2.66638e7i −0.193164 0.334569i
\(58\) 6.33347e7 + 1.09699e8i 0.734879 + 1.27285i
\(59\) −1.26280e8 −1.35675 −0.678377 0.734714i \(-0.737316\pi\)
−0.678377 + 0.734714i \(0.737316\pi\)
\(60\) 1.09113e8 + 1.88989e8i 1.08691 + 1.88259i
\(61\) 4.15514e7 + 7.19691e7i 0.384239 + 0.665521i 0.991663 0.128856i \(-0.0411306\pi\)
−0.607424 + 0.794377i \(0.707797\pi\)
\(62\) −7.25789e7 + 1.25710e8i −0.623803 + 1.08046i
\(63\) −2.67211e7 + 4.62823e7i −0.213709 + 0.370154i
\(64\) −1.56704e8 −1.16754
\(65\) 4.62595e7 0.321434
\(66\) 1.32499e8 2.29495e8i 0.859539 1.48877i
\(67\) 2.42126e7 4.19374e7i 0.146793 0.254252i −0.783248 0.621710i \(-0.786438\pi\)
0.930040 + 0.367457i \(0.119772\pi\)
\(68\) −5.68350e7 9.84411e7i −0.322349 0.558324i
\(69\) −1.86712e8 3.23395e8i −0.991634 1.71756i
\(70\) 2.79035e8 1.38905
\(71\) 3.47181e6 + 6.01335e6i 0.0162141 + 0.0280837i 0.874019 0.485892i \(-0.161505\pi\)
−0.857805 + 0.513976i \(0.828172\pi\)
\(72\) 8.90924e7 + 1.54312e8i 0.390701 + 0.676714i
\(73\) −2.17502e8 3.76724e8i −0.896416 1.55264i −0.832042 0.554713i \(-0.812828\pi\)
−0.0643748 0.997926i \(-0.520505\pi\)
\(74\) −2.21642e8 + 3.83896e8i −0.859231 + 1.48823i
\(75\) −5.14342e7 −0.187705
\(76\) −8.94006e7 + 1.54846e8i −0.307383 + 0.532403i
\(77\) −1.11781e8 1.93611e8i −0.362378 0.627657i
\(78\) 2.38702e8 0.730180
\(79\) −8.02193e7 1.38944e8i −0.231716 0.401345i 0.726597 0.687064i \(-0.241101\pi\)
−0.958313 + 0.285719i \(0.907767\pi\)
\(80\) 1.38432e8 2.39771e8i 0.377861 0.654474i
\(81\) 2.42095e8 4.19322e8i 0.624891 1.08234i
\(82\) −4.21032e8 −1.02838
\(83\) −6.65634e7 + 1.15291e8i −0.153952 + 0.266652i −0.932677 0.360713i \(-0.882533\pi\)
0.778725 + 0.627365i \(0.215867\pi\)
\(84\) 9.49983e8 2.08190
\(85\) −1.47154e8 −0.305764
\(86\) 2.21702e8 + 8.40961e8i 0.437045 + 1.65780i
\(87\) 5.58283e8 1.04476
\(88\) −7.45394e8 −1.32499
\(89\) 2.79519e8 4.84141e8i 0.472233 0.817932i −0.527262 0.849703i \(-0.676781\pi\)
0.999495 + 0.0317708i \(0.0101147\pi\)
\(90\) 4.76247e8 0.765139
\(91\) 1.00689e8 1.74399e8i 0.153920 0.266598i
\(92\) −1.08430e9 + 1.87807e9i −1.57800 + 2.73317i
\(93\) 3.19884e8 + 5.54056e8i 0.443424 + 0.768033i
\(94\) 8.81533e7 0.116456
\(95\) 1.15735e8 + 2.00460e8i 0.145784 + 0.252505i
\(96\) −1.02307e8 + 1.77201e8i −0.122938 + 0.212935i
\(97\) −2.58216e8 −0.296150 −0.148075 0.988976i \(-0.547308\pi\)
−0.148075 + 0.988976i \(0.547308\pi\)
\(98\) −1.75377e8 + 3.03761e8i −0.192068 + 0.332671i
\(99\) −1.90784e8 3.30448e8i −0.199611 0.345736i
\(100\) 1.49348e8 + 2.58679e8i 0.149348 + 0.258679i
\(101\) 9.55581e7 + 1.65512e8i 0.0913737 + 0.158264i 0.908089 0.418776i \(-0.137541\pi\)
−0.816716 + 0.577040i \(0.804208\pi\)
\(102\) −7.59322e8 −0.694584
\(103\) −9.44231e8 1.63546e9i −0.826629 1.43176i −0.900668 0.434509i \(-0.856922\pi\)
0.0740384 0.997255i \(-0.476411\pi\)
\(104\) −3.35713e8 5.81472e8i −0.281396 0.487393i
\(105\) 6.14910e8 1.06505e9i 0.493696 0.855106i
\(106\) 2.00199e9 3.46755e9i 1.54023 2.66776i
\(107\) −1.71336e9 −1.26363 −0.631817 0.775118i \(-0.717691\pi\)
−0.631817 + 0.775118i \(0.717691\pi\)
\(108\) −1.72018e9 −1.21666
\(109\) 1.11349e9 1.92862e9i 0.755556 1.30866i −0.189542 0.981873i \(-0.560700\pi\)
0.945098 0.326788i \(-0.105966\pi\)
\(110\) −9.96133e8 + 1.72535e9i −0.648709 + 1.12360i
\(111\) 9.76866e8 + 1.69198e9i 0.610775 + 1.05789i
\(112\) −6.02626e8 1.04378e9i −0.361882 0.626798i
\(113\) −3.02430e9 −1.74491 −0.872453 0.488698i \(-0.837472\pi\)
−0.872453 + 0.488698i \(0.837472\pi\)
\(114\) 5.97201e8 + 1.03438e9i 0.331168 + 0.573600i
\(115\) 1.40371e9 + 2.43129e9i 0.748404 + 1.29627i
\(116\) −1.62107e9 2.80778e9i −0.831269 1.43980i
\(117\) 1.71852e8 2.97657e8i 0.0847850 0.146852i
\(118\) 4.89884e9 2.32608
\(119\) −3.20297e8 + 5.54770e8i −0.146417 + 0.253601i
\(120\) −2.05021e9 3.55106e9i −0.902572 1.56330i
\(121\) −7.61744e8 −0.323054
\(122\) −1.61192e9 2.79193e9i −0.658756 1.14100i
\(123\) −9.27827e8 + 1.60704e9i −0.365506 + 0.633074i
\(124\) 1.85768e9 3.21760e9i 0.705625 1.22218i
\(125\) 2.89727e9 1.06144
\(126\) 1.03660e9 1.79545e9i 0.366391 0.634609i
\(127\) −1.24648e9 −0.425177 −0.212589 0.977142i \(-0.568189\pi\)
−0.212589 + 0.977142i \(0.568189\pi\)
\(128\) 5.46636e9 1.79992
\(129\) 3.69845e9 + 1.00701e9i 1.17589 + 0.320169i
\(130\) −1.79457e9 −0.551080
\(131\) −2.47327e9 −0.733754 −0.366877 0.930269i \(-0.619573\pi\)
−0.366877 + 0.930269i \(0.619573\pi\)
\(132\) −3.39136e9 + 5.87401e9i −0.972281 + 1.68404i
\(133\) 1.00764e9 0.279238
\(134\) −9.39289e8 + 1.62690e9i −0.251668 + 0.435901i
\(135\) −1.11345e9 + 1.92855e9i −0.288515 + 0.499722i
\(136\) 1.06792e9 + 1.84969e9i 0.267678 + 0.463633i
\(137\) −5.34043e9 −1.29519 −0.647596 0.761984i \(-0.724225\pi\)
−0.647596 + 0.761984i \(0.724225\pi\)
\(138\) 7.24320e9 + 1.25456e10i 1.70010 + 2.94466i
\(139\) −2.59974e9 + 4.50288e9i −0.590695 + 1.02311i 0.403444 + 0.915004i \(0.367813\pi\)
−0.994139 + 0.108110i \(0.965520\pi\)
\(140\) −7.14200e9 −1.57124
\(141\) 1.94263e8 3.36474e8i 0.0413909 0.0716912i
\(142\) −1.34683e8 2.33278e8i −0.0277982 0.0481479i
\(143\) 7.18904e8 + 1.24518e9i 0.143767 + 0.249011i
\(144\) −1.02854e9 1.78148e9i −0.199338 0.345263i
\(145\) −4.19718e9 −0.788501
\(146\) 8.43764e9 + 1.46144e10i 1.53686 + 2.66191i
\(147\) 7.72955e8 + 1.33880e9i 0.136529 + 0.236476i
\(148\) 5.67301e9 9.82594e9i 0.971932 1.68344i
\(149\) 4.46904e9 7.74061e9i 0.742808 1.28658i −0.208404 0.978043i \(-0.566827\pi\)
0.951212 0.308538i \(-0.0998397\pi\)
\(150\) 1.99531e9 0.321810
\(151\) 5.32234e9 0.833118 0.416559 0.909109i \(-0.363236\pi\)
0.416559 + 0.909109i \(0.363236\pi\)
\(152\) 1.67982e9 2.90954e9i 0.255251 0.442107i
\(153\) −5.46670e8 + 9.46860e8i −0.0806518 + 0.139693i
\(154\) 4.33639e9 + 7.51085e9i 0.621277 + 1.07608i
\(155\) −2.40490e9 4.16541e9i −0.334660 0.579648i
\(156\) −6.10966e9 −0.825955
\(157\) −5.26387e8 9.11730e8i −0.0691444 0.119762i 0.829381 0.558684i \(-0.188694\pi\)
−0.898525 + 0.438923i \(0.855360\pi\)
\(158\) 3.11198e9 + 5.39011e9i 0.397265 + 0.688083i
\(159\) −8.82357e9 1.52829e10i −1.09486 1.89635i
\(160\) 7.69148e8 1.33220e9i 0.0927834 0.160706i
\(161\) 1.22213e10 1.43351
\(162\) −9.39172e9 + 1.62669e10i −1.07134 + 1.85562i
\(163\) 5.50170e9 + 9.52923e9i 0.610454 + 1.05734i 0.991164 + 0.132643i \(0.0423464\pi\)
−0.380710 + 0.924695i \(0.624320\pi\)
\(164\) 1.07764e10 1.16326
\(165\) 4.39036e9 + 7.60432e9i 0.461128 + 0.798698i
\(166\) 2.58222e9 4.47254e9i 0.263941 0.457160i
\(167\) −2.19697e9 + 3.80526e9i −0.218575 + 0.378582i −0.954372 0.298619i \(-0.903474\pi\)
0.735798 + 0.677201i \(0.236807\pi\)
\(168\) −1.78500e10 −1.72881
\(169\) 4.65468e9 8.06215e9i 0.438935 0.760258i
\(170\) 5.70860e9 0.524215
\(171\) 1.71981e9 0.153815
\(172\) −5.67454e9 2.15247e10i −0.494371 1.87525i
\(173\) −2.94627e9 −0.250072 −0.125036 0.992152i \(-0.539905\pi\)
−0.125036 + 0.992152i \(0.539905\pi\)
\(174\) −2.16577e10 −1.79119
\(175\) 8.41660e8 1.45780e9i 0.0678368 0.117497i
\(176\) 8.60530e9 0.676020
\(177\) 1.07956e10 1.86985e10i 0.826735 1.43195i
\(178\) −1.08435e10 + 1.87815e10i −0.809618 + 1.40230i
\(179\) −1.09476e10 1.89619e10i −0.797044 1.38052i −0.921533 0.388299i \(-0.873063\pi\)
0.124490 0.992221i \(-0.460271\pi\)
\(180\) −1.21897e10 −0.865499
\(181\) −5.94598e9 1.02987e10i −0.411784 0.713231i 0.583301 0.812256i \(-0.301761\pi\)
−0.995085 + 0.0990252i \(0.968428\pi\)
\(182\) −3.90608e9 + 6.76552e9i −0.263888 + 0.457067i
\(183\) −1.42088e10 −0.936540
\(184\) 2.03739e10 3.52886e10i 1.31037 2.26962i
\(185\) −7.34410e9 1.27204e10i −0.460963 0.798411i
\(186\) −1.24094e10 2.14937e10i −0.760226 1.31675i
\(187\) −2.28687e9 3.96097e9i −0.136758 0.236872i
\(188\) −2.25631e9 −0.131731
\(189\) 4.84709e9 + 8.39540e9i 0.276314 + 0.478590i
\(190\) −4.48977e9 7.77652e9i −0.249939 0.432906i
\(191\) −1.40088e10 + 2.42640e10i −0.761642 + 1.31920i 0.180362 + 0.983600i \(0.442273\pi\)
−0.942004 + 0.335602i \(0.891060\pi\)
\(192\) 1.33965e10 2.32034e10i 0.711435 1.23224i
\(193\) −1.14945e10 −0.596323 −0.298162 0.954515i \(-0.596373\pi\)
−0.298162 + 0.954515i \(0.596373\pi\)
\(194\) 1.00171e10 0.507732
\(195\) −3.95469e9 + 6.84972e9i −0.195865 + 0.339248i
\(196\) 4.48883e9 7.77488e9i 0.217260 0.376306i
\(197\) −3.61611e9 6.26329e9i −0.171058 0.296282i 0.767732 0.640771i \(-0.221385\pi\)
−0.938790 + 0.344490i \(0.888052\pi\)
\(198\) 7.40118e9 + 1.28192e10i 0.342222 + 0.592746i
\(199\) 7.09708e9 0.320805 0.160402 0.987052i \(-0.448721\pi\)
0.160402 + 0.987052i \(0.448721\pi\)
\(200\) −2.80623e9 4.86053e9i −0.124019 0.214807i
\(201\) 4.13982e9 + 7.17038e9i 0.178896 + 0.309856i
\(202\) −3.70703e9 6.42076e9i −0.156655 0.271335i
\(203\) −9.13564e9 + 1.58234e10i −0.377578 + 0.653985i
\(204\) 1.94351e10 0.785690
\(205\) 6.97543e9 1.20818e10i 0.275854 0.477792i
\(206\) 3.66300e10 + 6.34450e10i 1.41721 + 2.45468i
\(207\) 2.08588e10 0.789630
\(208\) 3.87569e9 + 6.71289e9i 0.143570 + 0.248671i
\(209\) −3.59721e9 + 6.23054e9i −0.130409 + 0.225875i
\(210\) −2.38545e10 + 4.13171e10i −0.846414 + 1.46603i
\(211\) −9.74701e9 −0.338532 −0.169266 0.985570i \(-0.554140\pi\)
−0.169266 + 0.985570i \(0.554140\pi\)
\(212\) −5.12416e10 + 8.87531e10i −1.74225 + 3.01767i
\(213\) −1.18721e9 −0.0395201
\(214\) 6.64671e10 2.16643
\(215\) −2.78050e10 7.57071e9i −0.887463 0.241637i
\(216\) 3.23219e10 1.01031
\(217\) −2.09381e10 −0.641016
\(218\) −4.31960e10 + 7.48177e10i −1.29536 + 2.24363i
\(219\) 7.43761e10 2.18492
\(220\) 2.54964e10 4.41610e10i 0.733797 1.27097i
\(221\) 2.05993e9 3.56791e9i 0.0580882 0.100612i
\(222\) −3.78960e10 6.56378e10i −1.04714 1.81370i
\(223\) −3.51500e10 −0.951817 −0.475909 0.879495i \(-0.657881\pi\)
−0.475909 + 0.879495i \(0.657881\pi\)
\(224\) −3.34827e9 5.79938e9i −0.0888597 0.153910i
\(225\) 1.43651e9 2.48811e9i 0.0373670 0.0647215i
\(226\) 1.17323e11 2.99155
\(227\) 3.57321e10 6.18898e10i 0.893186 1.54704i 0.0571525 0.998365i \(-0.481798\pi\)
0.836034 0.548678i \(-0.184869\pi\)
\(228\) −1.52856e10 2.64754e10i −0.374606 0.648837i
\(229\) −2.77885e10 4.81311e10i −0.667737 1.15655i −0.978535 0.206078i \(-0.933930\pi\)
0.310799 0.950476i \(-0.399404\pi\)
\(230\) −5.44546e10 9.43182e10i −1.28310 2.22239i
\(231\) 3.82244e10 0.883256
\(232\) 3.04597e10 + 5.27577e10i 0.690286 + 1.19561i
\(233\) 2.07532e10 + 3.59456e10i 0.461300 + 0.798995i 0.999026 0.0441247i \(-0.0140499\pi\)
−0.537726 + 0.843120i \(0.680717\pi\)
\(234\) −6.66674e9 + 1.15471e10i −0.145359 + 0.251769i
\(235\) −1.46048e9 + 2.52962e9i −0.0312385 + 0.0541066i
\(236\) −1.25388e11 −2.63118
\(237\) 2.74315e10 0.564783
\(238\) 1.24254e10 2.15214e10i 0.251024 0.434786i
\(239\) −2.85395e10 + 4.94318e10i −0.565790 + 0.979977i 0.431186 + 0.902263i \(0.358095\pi\)
−0.996976 + 0.0777136i \(0.975238\pi\)
\(240\) 2.36689e10 + 4.09957e10i 0.460497 + 0.797605i
\(241\) −3.77225e10 6.53373e10i −0.720317 1.24763i −0.960873 0.276991i \(-0.910663\pi\)
0.240555 0.970635i \(-0.422670\pi\)
\(242\) 2.95507e10 0.553858
\(243\) 2.43434e10 + 4.21640e10i 0.447871 + 0.775735i
\(244\) 4.12577e10 + 7.14604e10i 0.745162 + 1.29066i
\(245\) −5.81110e9 1.00651e10i −0.103041 0.178473i
\(246\) 3.59936e10 6.23428e10i 0.626639 1.08537i
\(247\) −6.48049e9 −0.110783
\(248\) −3.49055e10 + 6.04581e10i −0.585951 + 1.01490i
\(249\) −1.13809e10 1.97123e10i −0.187620 0.324968i
\(250\) −1.12395e11 −1.81977
\(251\) 5.27544e10 + 9.13732e10i 0.838932 + 1.45307i 0.890789 + 0.454418i \(0.150153\pi\)
−0.0518572 + 0.998655i \(0.516514\pi\)
\(252\) −2.65322e10 + 4.59552e10i −0.414449 + 0.717847i
\(253\) −4.36290e10 + 7.55677e10i −0.669473 + 1.15956i
\(254\) 4.83554e10 0.728943
\(255\) 1.25800e10 2.17893e10i 0.186317 0.322710i
\(256\) −1.31827e11 −1.91833
\(257\) 3.43355e9 0.0490958 0.0245479 0.999699i \(-0.492185\pi\)
0.0245479 + 0.999699i \(0.492185\pi\)
\(258\) −1.43475e11 3.90653e10i −2.01599 0.548911i
\(259\) −6.39411e10 −0.882939
\(260\) 4.59326e10 0.623363
\(261\) −1.55924e10 + 2.70068e10i −0.207984 + 0.360239i
\(262\) 9.59466e10 1.25798
\(263\) 4.18226e10 7.24388e10i 0.539026 0.933621i −0.459931 0.887955i \(-0.652126\pi\)
0.998957 0.0456658i \(-0.0145409\pi\)
\(264\) 6.37231e10 1.10372e11i 0.807382 1.39843i
\(265\) 6.63358e10 + 1.14897e11i 0.826308 + 1.43121i
\(266\) −3.90900e10 −0.478738
\(267\) 4.77917e10 + 8.27776e10i 0.575509 + 0.996810i
\(268\) 2.40414e10 4.16410e10i 0.284678 0.493077i
\(269\) 6.33740e10 0.737949 0.368974 0.929440i \(-0.379709\pi\)
0.368974 + 0.929440i \(0.379709\pi\)
\(270\) 4.31945e10 7.48150e10i 0.494642 0.856746i
\(271\) 1.47747e10 + 2.55905e10i 0.166401 + 0.288215i 0.937152 0.348921i \(-0.113452\pi\)
−0.770751 + 0.637137i \(0.780119\pi\)
\(272\) −1.23287e10 2.13540e10i −0.136571 0.236548i
\(273\) 1.72156e10 + 2.98184e10i 0.187582 + 0.324902i
\(274\) 2.07174e11 2.22053
\(275\) 6.00931e9 + 1.04084e10i 0.0633618 + 0.109746i
\(276\) −1.85392e11 3.21109e11i −1.92310 3.33090i
\(277\) −6.04740e10 + 1.04744e11i −0.617177 + 1.06898i 0.372822 + 0.927903i \(0.378390\pi\)
−0.989998 + 0.141079i \(0.954943\pi\)
\(278\) 1.00853e11 1.74682e11i 1.01271 1.75407i
\(279\) −3.57364e10 −0.353095
\(280\) 1.34197e11 1.30476
\(281\) −8.10193e10 + 1.40329e11i −0.775193 + 1.34267i 0.159493 + 0.987199i \(0.449014\pi\)
−0.934686 + 0.355475i \(0.884319\pi\)
\(282\) −7.53615e9 + 1.30530e10i −0.0709624 + 0.122911i
\(283\) 7.86325e10 + 1.36196e11i 0.728724 + 1.26219i 0.957423 + 0.288690i \(0.0932198\pi\)
−0.228698 + 0.973497i \(0.573447\pi\)
\(284\) 3.44727e9 + 5.97084e9i 0.0314443 + 0.0544632i
\(285\) −3.95765e10 −0.355333
\(286\) −2.78888e10 4.83047e10i −0.246480 0.426916i
\(287\) −3.03656e10 5.25948e10i −0.264188 0.457587i
\(288\) −5.71471e9 9.89816e9i −0.0489472 0.0847790i
\(289\) 5.27412e10 9.13504e10i 0.444744 0.770318i
\(290\) 1.62823e11 1.35184
\(291\) 2.20747e10 3.82345e10i 0.180458 0.312563i
\(292\) −2.15964e11 3.74061e11i −1.73844 3.01106i
\(293\) 5.44747e10 0.431808 0.215904 0.976415i \(-0.430730\pi\)
0.215904 + 0.976415i \(0.430730\pi\)
\(294\) −2.99856e10 5.19366e10i −0.234072 0.405425i
\(295\) −8.11614e10 + 1.40576e11i −0.623951 + 1.08072i
\(296\) −1.06595e11 + 1.84628e11i −0.807092 + 1.39792i
\(297\) −6.92148e10 −0.516173
\(298\) −1.73370e11 + 3.00285e11i −1.27350 + 2.20577i
\(299\) −7.85992e10 −0.568719
\(300\) −5.10706e10 −0.364020
\(301\) −8.90623e10 + 8.83465e10i −0.625381 + 0.620355i
\(302\) −2.06472e11 −1.42834
\(303\) −3.26767e10 −0.222714
\(304\) −1.93929e10 + 3.35895e10i −0.130230 + 0.225566i
\(305\) 1.06822e11 0.706823
\(306\) 2.12072e10 3.67320e10i 0.138273 0.239496i
\(307\) −2.15354e10 + 3.73005e10i −0.138366 + 0.239658i −0.926878 0.375362i \(-0.877519\pi\)
0.788512 + 0.615019i \(0.210852\pi\)
\(308\) −1.10991e11 1.92243e11i −0.702766 1.21723i
\(309\) 3.22886e11 2.01482
\(310\) 9.32943e10 + 1.61590e11i 0.573756 + 0.993775i
\(311\) 1.65863e10 2.87283e10i 0.100538 0.174136i −0.811369 0.584535i \(-0.801277\pi\)
0.911906 + 0.410399i \(0.134610\pi\)
\(312\) 1.14799e11 0.685873
\(313\) 1.39767e11 2.42083e11i 0.823104 1.42566i −0.0802550 0.996774i \(-0.525573\pi\)
0.903359 0.428884i \(-0.141093\pi\)
\(314\) 2.04204e10 + 3.53691e10i 0.118544 + 0.205325i
\(315\) 3.43478e10 + 5.94922e10i 0.196563 + 0.340457i
\(316\) −7.96522e10 1.37962e11i −0.449372 0.778335i
\(317\) 6.34735e10 0.353041 0.176521 0.984297i \(-0.443516\pi\)
0.176521 + 0.984297i \(0.443516\pi\)
\(318\) 3.42297e11 + 5.92875e11i 1.87707 + 3.25118i
\(319\) −6.52270e10 1.12976e11i −0.352671 0.610843i
\(320\) −1.00715e11 + 1.74444e11i −0.536933 + 0.929995i
\(321\) 1.46474e11 2.53700e11i 0.769993 1.33367i
\(322\) −4.74106e11 −2.45767
\(323\) 2.06147e10 0.105382
\(324\) 2.40384e11 4.16358e11i 1.21186 2.09901i
\(325\) −5.41299e9 + 9.37558e9i −0.0269130 + 0.0466147i
\(326\) −2.13430e11 3.69672e11i −1.04659 1.81275i
\(327\) 1.90382e11 + 3.29752e11i 0.920792 + 1.59486i
\(328\) −2.02487e11 −0.965975
\(329\) 6.35779e9 + 1.10120e10i 0.0299174 + 0.0518185i
\(330\) −1.70317e11 2.94998e11i −0.790579 1.36932i
\(331\) 1.89288e10 + 3.27856e10i 0.0866756 + 0.150127i 0.906104 0.423055i \(-0.139042\pi\)
−0.819428 + 0.573182i \(0.805709\pi\)
\(332\) −6.60929e10 + 1.14476e11i −0.298561 + 0.517123i
\(333\) −1.09132e11 −0.486355
\(334\) 8.52279e10 1.47619e11i 0.374734 0.649058i
\(335\) −3.11233e10 5.39071e10i −0.135016 0.233854i
\(336\) 2.06072e11 0.882047
\(337\) −9.98188e10 1.72891e11i −0.421578 0.730194i 0.574516 0.818493i \(-0.305190\pi\)
−0.996094 + 0.0882989i \(0.971857\pi\)
\(338\) −1.80571e11 + 3.12759e11i −0.752529 + 1.30342i
\(339\) 2.58545e11 4.47813e11i 1.06325 1.84161i
\(340\) −1.46114e11 −0.592974
\(341\) 7.47474e10 1.29466e11i 0.299365 0.518516i
\(342\) −6.67173e10 −0.263707
\(343\) −2.76401e11 −1.07824
\(344\) 1.06624e11 + 4.04445e11i 0.410525 + 1.55721i
\(345\) −4.80006e11 −1.82415
\(346\) 1.14296e11 0.428735
\(347\) 1.64726e11 2.85314e11i 0.609929 1.05643i −0.381323 0.924442i \(-0.624531\pi\)
0.991252 0.131986i \(-0.0421354\pi\)
\(348\) 5.54337e11 2.02613
\(349\) −6.83389e10 + 1.18366e11i −0.246577 + 0.427085i −0.962574 0.271019i \(-0.912639\pi\)
0.715996 + 0.698104i \(0.245973\pi\)
\(350\) −3.26509e10 + 5.65530e10i −0.116302 + 0.201442i
\(351\) −3.11732e10 5.39936e10i −0.109622 0.189872i
\(352\) 4.78123e10 0.165996
\(353\) −1.00465e11 1.74010e11i −0.344372 0.596469i 0.640868 0.767651i \(-0.278575\pi\)
−0.985239 + 0.171182i \(0.945241\pi\)
\(354\) −4.18798e11 + 7.25379e11i −1.41739 + 2.45499i
\(355\) 8.92546e9 0.0298265
\(356\) 2.77543e11 4.80719e11i 0.915811 1.58623i
\(357\) −5.47637e10 9.48536e10i −0.178438 0.309063i
\(358\) 4.24697e11 + 7.35597e11i 1.36649 + 2.36683i
\(359\) 1.02666e10 + 1.77823e10i 0.0326213 + 0.0565018i 0.881875 0.471483i \(-0.156281\pi\)
−0.849254 + 0.527985i \(0.822948\pi\)
\(360\) 2.29042e11 0.718710
\(361\) 1.45131e11 + 2.51373e11i 0.449755 + 0.778999i
\(362\) 2.30665e11 + 3.99523e11i 0.705981 + 1.22280i
\(363\) 6.51208e10 1.12793e11i 0.196852 0.340958i
\(364\) 9.99774e10 1.73166e11i 0.298501 0.517019i
\(365\) −5.59162e11 −1.64900
\(366\) 5.51207e11 1.60565
\(367\) −4.65801e10 + 8.06792e10i −0.134030 + 0.232148i −0.925227 0.379415i \(-0.876125\pi\)
0.791196 + 0.611562i \(0.209459\pi\)
\(368\) −2.35209e11 + 4.07394e11i −0.668557 + 1.15797i
\(369\) −5.18269e10 8.97668e10i −0.145525 0.252056i
\(370\) 2.84903e11 + 4.93467e11i 0.790295 + 1.36883i
\(371\) 5.77549e11 1.58273
\(372\) 3.17623e11 + 5.50139e11i 0.859941 + 1.48946i
\(373\) 1.22482e11 + 2.12145e11i 0.327629 + 0.567470i 0.982041 0.188668i \(-0.0604171\pi\)
−0.654412 + 0.756138i \(0.727084\pi\)
\(374\) 8.87154e10 + 1.53660e11i 0.234464 + 0.406104i
\(375\) −2.47685e11 + 4.29003e11i −0.646783 + 1.12026i
\(376\) 4.23957e10 0.109390
\(377\) 5.87543e10 1.01765e11i 0.149797 0.259456i
\(378\) −1.88035e11 3.25687e11i −0.473725 0.820515i
\(379\) −2.92242e11 −0.727555 −0.363777 0.931486i \(-0.618513\pi\)
−0.363777 + 0.931486i \(0.618513\pi\)
\(380\) 1.14917e11 + 1.99043e11i 0.282722 + 0.489688i
\(381\) 1.06561e11 1.84569e11i 0.259081 0.448741i
\(382\) 5.43450e11 9.41282e11i 1.30579 2.26170i
\(383\) −2.49643e11 −0.592823 −0.296411 0.955060i \(-0.595790\pi\)
−0.296411 + 0.955060i \(0.595790\pi\)
\(384\) −4.67315e11 + 8.09413e11i −1.09678 + 1.89968i
\(385\) −2.87372e11 −0.666609
\(386\) 4.45911e11 1.02236
\(387\) −1.52008e11 + 1.50786e11i −0.344483 + 0.341714i
\(388\) −2.56391e11 −0.574329
\(389\) −7.56899e11 −1.67597 −0.837983 0.545697i \(-0.816265\pi\)
−0.837983 + 0.545697i \(0.816265\pi\)
\(390\) 1.53416e11 2.65724e11i 0.335799 0.581622i
\(391\) 2.50028e11 0.540994
\(392\) −8.43442e10 + 1.46088e11i −0.180413 + 0.312485i
\(393\) 2.11438e11 3.66221e11i 0.447111 0.774420i
\(394\) 1.40281e11 + 2.42975e11i 0.293270 + 0.507958i
\(395\) −2.06231e11 −0.426252
\(396\) −1.89436e11 3.28113e11i −0.387109 0.670493i
\(397\) −2.86540e11 + 4.96301e11i −0.578932 + 1.00274i 0.416670 + 0.909058i \(0.363197\pi\)
−0.995602 + 0.0936816i \(0.970136\pi\)
\(398\) −2.75320e11 −0.550002
\(399\) −8.61426e10 + 1.49203e11i −0.170153 + 0.294714i
\(400\) 3.23969e10 + 5.61130e10i 0.0632751 + 0.109596i
\(401\) 2.09157e11 + 3.62271e11i 0.403946 + 0.699656i 0.994198 0.107563i \(-0.0343049\pi\)
−0.590252 + 0.807219i \(0.700972\pi\)
\(402\) −1.60598e11 2.78164e11i −0.306706 0.531231i
\(403\) 1.34660e11 0.254311
\(404\) 9.48827e10 + 1.64342e11i 0.177203 + 0.306924i
\(405\) −3.11194e11 5.39004e11i −0.574756 0.995507i
\(406\) 3.54403e11 6.13844e11i 0.647337 1.12122i
\(407\) 2.28264e11 3.95366e11i 0.412348 0.714207i
\(408\) −3.65182e11 −0.652437
\(409\) 1.11579e11 0.197164 0.0985818 0.995129i \(-0.468569\pi\)
0.0985818 + 0.995129i \(0.468569\pi\)
\(410\) −2.70601e11 + 4.68695e11i −0.472936 + 0.819149i
\(411\) 4.56549e11 7.90766e11i 0.789222 1.36697i
\(412\) −9.37557e11 1.62390e12i −1.60310 2.77665i
\(413\) 3.53314e11 + 6.11958e11i 0.597565 + 1.03501i
\(414\) −8.09186e11 −1.35378
\(415\) 8.55619e10 + 1.48198e11i 0.141600 + 0.245259i
\(416\) 2.15339e10 + 3.72977e10i 0.0352535 + 0.0610608i
\(417\) −4.44499e11 7.69895e11i −0.719877 1.24686i
\(418\) 1.39548e11 2.41704e11i 0.223579 0.387250i
\(419\) −1.10940e12 −1.75842 −0.879212 0.476432i \(-0.841930\pi\)
−0.879212 + 0.476432i \(0.841930\pi\)
\(420\) 6.10563e11 1.05753e12i 0.957434 1.65832i
\(421\) −4.37271e11 7.57375e11i −0.678392 1.17501i −0.975465 0.220155i \(-0.929344\pi\)
0.297073 0.954855i \(-0.403990\pi\)
\(422\) 3.78120e11 0.580395
\(423\) 1.08512e10 + 1.87949e10i 0.0164796 + 0.0285435i
\(424\) 9.62820e11 1.66765e12i 1.44677 2.50588i
\(425\) 1.72190e10 2.98241e10i 0.0256010 0.0443423i
\(426\) 4.60559e10 0.0677551
\(427\) 2.32510e11 4.02719e11i 0.338467 0.586241i
\(428\) −1.70125e12 −2.45059
\(429\) −2.45834e11 −0.350416
\(430\) 1.07865e12 + 2.93694e11i 1.52151 + 0.414273i
\(431\) 4.48846e11 0.626542 0.313271 0.949664i \(-0.398575\pi\)
0.313271 + 0.949664i \(0.398575\pi\)
\(432\) −3.73145e11 −0.515466
\(433\) 2.53935e11 4.39828e11i 0.347158 0.601295i −0.638586 0.769551i \(-0.720480\pi\)
0.985743 + 0.168256i \(0.0538136\pi\)
\(434\) 8.12262e11 1.09899
\(435\) 3.58814e11 6.21483e11i 0.480471 0.832200i
\(436\) 1.10562e12 1.91499e12i 1.46526 2.53791i
\(437\) −1.96645e11 3.40599e11i −0.257939 0.446763i
\(438\) −2.88531e12 −3.74592
\(439\) 3.46203e11 + 5.99640e11i 0.444877 + 0.770550i 0.998044 0.0625211i \(-0.0199141\pi\)
−0.553167 + 0.833071i \(0.686581\pi\)
\(440\) −4.79072e11 + 8.29777e11i −0.609345 + 1.05542i
\(441\) −8.63519e10 −0.108717
\(442\) −7.99119e10 + 1.38412e11i −0.0995890 + 0.172493i
\(443\) 3.37794e11 + 5.85077e11i 0.416712 + 0.721766i 0.995606 0.0936365i \(-0.0298492\pi\)
−0.578895 + 0.815402i \(0.696516\pi\)
\(444\) 9.69961e11 + 1.68002e12i 1.18449 + 2.05159i
\(445\) −3.59299e11 6.22325e11i −0.434346 0.752310i
\(446\) 1.36359e12 1.63184
\(447\) 7.64109e11 + 1.32348e12i 0.905256 + 1.56795i
\(448\) 4.38436e11 + 7.59393e11i 0.514227 + 0.890667i
\(449\) −6.19824e11 + 1.07357e12i −0.719714 + 1.24658i 0.241399 + 0.970426i \(0.422394\pi\)
−0.961113 + 0.276155i \(0.910940\pi\)
\(450\) −5.57273e10 + 9.65225e10i −0.0640636 + 0.110961i
\(451\) 4.33611e11 0.493521
\(452\) −3.00293e12 −3.38393
\(453\) −4.55003e11 + 7.88087e11i −0.507659 + 0.879291i
\(454\) −1.38617e12 + 2.40092e12i −1.53132 + 2.65232i
\(455\) −1.29428e11 2.24175e11i −0.141571 0.245209i
\(456\) 2.87213e11 + 4.97467e11i 0.311073 + 0.538794i
\(457\) 9.88209e11 1.05981 0.529903 0.848058i \(-0.322228\pi\)
0.529903 + 0.848058i \(0.322228\pi\)
\(458\) 1.07801e12 + 1.86717e12i 1.14480 + 1.98285i
\(459\) 9.91635e10 + 1.71756e11i 0.104278 + 0.180616i
\(460\) 1.39378e12 + 2.41411e12i 1.45139 + 2.51389i
\(461\) 3.32742e11 5.76326e11i 0.343126 0.594311i −0.641886 0.766800i \(-0.721848\pi\)
0.985011 + 0.172489i \(0.0551809\pi\)
\(462\) −1.48286e12 −1.51429
\(463\) 4.65410e11 8.06113e11i 0.470675 0.815233i −0.528763 0.848770i \(-0.677344\pi\)
0.999437 + 0.0335369i \(0.0106771\pi\)
\(464\) −3.51646e11 6.09068e11i −0.352188 0.610007i
\(465\) 8.22370e11 0.815698
\(466\) −8.05088e11 1.39445e12i −0.790873 1.36983i
\(467\) 6.04591e11 1.04718e12i 0.588215 1.01882i −0.406252 0.913761i \(-0.633164\pi\)
0.994466 0.105056i \(-0.0335023\pi\)
\(468\) 1.70638e11 2.95553e11i 0.164425 0.284793i
\(469\) −2.70973e11 −0.258612
\(470\) 5.66570e10 9.81327e10i 0.0535566 0.0927627i
\(471\) 1.80002e11 0.168532
\(472\) 2.35601e12 2.18493
\(473\) −2.28326e11 8.66087e11i −0.209739 0.795585i
\(474\) −1.06416e12 −0.968290
\(475\) −5.41704e10 −0.0488248
\(476\) −3.18033e11 + 5.50849e11i −0.283949 + 0.491814i
\(477\) 9.85739e11 0.871825
\(478\) 1.10714e12 1.91763e12i 0.970015 1.68012i
\(479\) −9.39640e10 + 1.62750e11i −0.0815552 + 0.141258i −0.903918 0.427706i \(-0.859322\pi\)
0.822363 + 0.568963i \(0.192655\pi\)
\(480\) 1.31508e11 + 2.27778e11i 0.113075 + 0.195851i
\(481\) 4.11226e11 0.350290
\(482\) 1.46339e12 + 2.53466e12i 1.23494 + 2.13899i
\(483\) −1.04479e12 + 1.80963e12i −0.873506 + 1.51296i
\(484\) −7.56360e11 −0.626505
\(485\) −1.65958e11 + 2.87448e11i −0.136195 + 0.235896i
\(486\) −9.44363e11 1.63569e12i −0.767849 1.32995i
\(487\) −2.14137e10 3.70896e10i −0.0172509 0.0298794i 0.857271 0.514865i \(-0.172158\pi\)
−0.874522 + 0.484986i \(0.838825\pi\)
\(488\) −7.75224e11 1.34273e12i −0.618783 1.07176i
\(489\) −1.88134e12 −1.48792
\(490\) 2.25433e11 + 3.90461e11i 0.176658 + 0.305981i
\(491\) 2.27182e10 + 3.93491e10i 0.0176404 + 0.0305540i 0.874711 0.484645i \(-0.161051\pi\)
−0.857070 + 0.515199i \(0.827718\pi\)
\(492\) −9.21269e11 + 1.59568e12i −0.708832 + 1.22773i
\(493\) −1.86900e11 + 3.23721e11i −0.142495 + 0.246808i
\(494\) 2.51401e11 0.189931
\(495\) −4.90476e11 −0.367193
\(496\) 4.02971e11 6.97967e11i 0.298955 0.517806i
\(497\) 1.94273e10 3.36490e10i 0.0142826 0.0247382i
\(498\) 4.41504e11 + 7.64708e11i 0.321664 + 0.557139i
\(499\) 4.68775e11 + 8.11942e11i 0.338464 + 0.586236i 0.984144 0.177372i \(-0.0567594\pi\)
−0.645680 + 0.763608i \(0.723426\pi\)
\(500\) 2.87679e12 2.05846
\(501\) −3.75634e11 6.50616e11i −0.266376 0.461376i
\(502\) −2.04652e12 3.54468e12i −1.43830 2.49121i
\(503\) 1.01497e12 + 1.75798e12i 0.706963 + 1.22450i 0.965978 + 0.258623i \(0.0832686\pi\)
−0.259015 + 0.965873i \(0.583398\pi\)
\(504\) 4.98536e11 8.63489e11i 0.344159 0.596100i
\(505\) 2.45664e11 0.168086
\(506\) 1.69252e12 2.93153e12i 1.14777 1.98800i
\(507\) 7.95850e11 + 1.37845e12i 0.534928 + 0.926522i
\(508\) −1.23767e12 −0.824554
\(509\) 6.90957e11 + 1.19677e12i 0.456269 + 0.790281i 0.998760 0.0497804i \(-0.0158522\pi\)
−0.542491 + 0.840061i \(0.682519\pi\)
\(510\) −4.88023e11 + 8.45281e11i −0.319429 + 0.553268i
\(511\) −1.21708e12 + 2.10804e12i −0.789631 + 1.36768i
\(512\) 2.31523e12 1.48895
\(513\) 1.55983e11 2.70170e11i 0.0994370 0.172230i
\(514\) −1.33199e11 −0.0841721
\(515\) −2.42747e12 −1.52062
\(516\) 3.67230e12 + 9.99889e11i 2.28042 + 0.620909i
\(517\) −9.07871e10 −0.0558878
\(518\) 2.48049e12 1.51375
\(519\) 2.51874e11 4.36259e11i 0.152381 0.263931i
\(520\) −8.63064e11 −0.517640
\(521\) 1.10097e12 1.90694e12i 0.654646 1.13388i −0.327336 0.944908i \(-0.606151\pi\)
0.981982 0.188972i \(-0.0605157\pi\)
\(522\) 6.04882e11 1.04769e12i 0.356577 0.617609i
\(523\) 3.80397e11 + 6.58867e11i 0.222320 + 0.385070i 0.955512 0.294952i \(-0.0953036\pi\)
−0.733192 + 0.680022i \(0.761970\pi\)
\(524\) −2.45579e12 −1.42298
\(525\) 1.43905e11 + 2.49252e11i 0.0826724 + 0.143193i
\(526\) −1.62244e12 + 2.81015e12i −0.924130 + 1.60064i
\(527\) −4.28360e11 −0.241914
\(528\) −7.35660e11 + 1.27420e12i −0.411931 + 0.713485i
\(529\) −1.48445e12 2.57114e12i −0.824166 1.42750i
\(530\) −2.57340e12 4.45725e12i −1.41666 2.45372i
\(531\) 6.03023e11 + 1.04447e12i 0.329161 + 0.570123i
\(532\) 1.00052e12 0.541532
\(533\) 1.95291e11 + 3.38255e11i 0.104812 + 0.181540i
\(534\) −1.85400e12 3.21123e12i −0.986677 1.70898i
\(535\) −1.10119e12 + 1.90732e12i −0.581127 + 1.00654i
\(536\) −4.51734e11 + 7.82426e11i −0.236397 + 0.409451i
\(537\) 3.74362e12 1.94271
\(538\) −2.45850e12 −1.26517
\(539\) 1.80617e11 3.12837e11i 0.0921739 0.159650i
\(540\) −1.10558e12 + 1.91492e12i −0.559522 + 0.969121i
\(541\) −1.68235e12 2.91391e12i −0.844361 1.46248i −0.886175 0.463350i \(-0.846647\pi\)
0.0418143 0.999125i \(-0.486686\pi\)
\(542\) −5.73161e11 9.92744e11i −0.285286 0.494129i
\(543\) 2.03327e12 1.00368
\(544\) −6.85002e10 1.18646e11i −0.0335349 0.0580841i
\(545\) −1.43130e12 2.47908e12i −0.694938 1.20367i
\(546\) −6.67854e11 1.15676e12i −0.321599 0.557026i
\(547\) −1.50551e12 + 2.60761e12i −0.719018 + 1.24537i 0.242372 + 0.970183i \(0.422075\pi\)
−0.961389 + 0.275192i \(0.911259\pi\)
\(548\) −5.30269e12 −2.51179
\(549\) 3.96839e11 6.87345e11i 0.186440 0.322923i
\(550\) −2.33122e11 4.03779e11i −0.108630 0.188153i
\(551\) 5.87983e11 0.271758
\(552\) 3.48349e12 + 6.03358e12i 1.59694 + 2.76598i
\(553\) −4.48884e11 + 7.77490e11i −0.204113 + 0.353535i
\(554\) 2.34599e12 4.06338e12i 1.05812 1.83271i
\(555\) 2.51136e12 1.12355
\(556\) −2.58136e12 + 4.47105e12i −1.14555 + 1.98414i
\(557\) 2.57089e12 1.13171 0.565856 0.824504i \(-0.308546\pi\)
0.565856 + 0.824504i \(0.308546\pi\)
\(558\) 1.38634e12 0.605362
\(559\) 5.72789e11 5.68186e11i 0.248109 0.246114i
\(560\) −1.54925e12 −0.665697
\(561\) 7.82009e11 0.333333
\(562\) 3.14302e12 5.44386e12i 1.32903 2.30194i
\(563\) 2.84797e12 1.19467 0.597336 0.801991i \(-0.296226\pi\)
0.597336 + 0.801991i \(0.296226\pi\)
\(564\) 1.92890e11 3.34096e11i 0.0802702 0.139032i
\(565\) −1.94375e12 + 3.36667e12i −0.802457 + 1.38990i
\(566\) −3.05043e12 5.28349e12i −1.24936 2.16395i
\(567\) −2.70940e12 −1.10090
\(568\) −6.47735e10 1.12191e11i −0.0261114 0.0452263i
\(569\) 7.55850e11 1.30917e12i 0.302295 0.523590i −0.674361 0.738402i \(-0.735581\pi\)
0.976655 + 0.214812i \(0.0689140\pi\)
\(570\) 1.53531e12 0.609198
\(571\) −1.63618e12 + 2.83394e12i −0.644121 + 1.11565i 0.340382 + 0.940287i \(0.389444\pi\)
−0.984504 + 0.175364i \(0.943890\pi\)
\(572\) 7.13822e11 + 1.23638e12i 0.278810 + 0.482913i
\(573\) −2.39520e12 4.14861e12i −0.928209 1.60771i
\(574\) 1.17799e12 + 2.04033e12i 0.452936 + 0.784508i
\(575\) −6.57010e11 −0.250650
\(576\) 7.48305e11 + 1.29610e12i 0.283255 + 0.490612i
\(577\) 7.38168e11 + 1.27854e12i 0.277245 + 0.480203i 0.970699 0.240298i \(-0.0772452\pi\)
−0.693454 + 0.720501i \(0.743912\pi\)
\(578\) −2.04601e12 + 3.54380e12i −0.762488 + 1.32067i
\(579\) 9.82653e11 1.70201e12i 0.363368 0.629372i
\(580\) −4.16752e12 −1.52915
\(581\) 7.44940e11 0.271224
\(582\) −8.56354e11 + 1.48325e12i −0.309385 + 0.535871i
\(583\) −2.06180e12 + 3.57115e12i −0.739161 + 1.28026i
\(584\) 4.05793e12 + 7.02854e12i 1.44360 + 2.50039i
\(585\) −2.20902e11 3.82614e11i −0.0779828 0.135070i
\(586\) −2.11326e12 −0.740311
\(587\) −2.03571e12 3.52595e12i −0.707691 1.22576i −0.965712 0.259618i \(-0.916404\pi\)
0.258020 0.966139i \(-0.416930\pi\)
\(588\) 7.67492e11 + 1.32933e12i 0.264774 + 0.458602i
\(589\) 3.36902e11 + 5.83531e11i 0.115341 + 0.199777i
\(590\) 3.14853e12 5.45342e12i 1.06973 1.85283i
\(591\) 1.23655e12 0.416936
\(592\) 1.23060e12 2.13146e12i 0.411783 0.713229i
\(593\) −1.09316e12 1.89341e12i −0.363026 0.628780i 0.625431 0.780280i \(-0.284923\pi\)
−0.988457 + 0.151499i \(0.951590\pi\)
\(594\) 2.68508e12 0.884950
\(595\) 4.11715e11 + 7.13112e11i 0.134670 + 0.233255i
\(596\) 4.43746e12 7.68590e12i 1.44054 2.49509i
\(597\) −6.06723e11 + 1.05087e12i −0.195482 + 0.338584i
\(598\) 3.04913e12 0.975037
\(599\) −8.71989e11 + 1.51033e12i −0.276752 + 0.479348i −0.970576 0.240797i \(-0.922591\pi\)
0.693824 + 0.720145i \(0.255925\pi\)
\(600\) 9.59607e11 0.302282
\(601\) −2.42383e11 −0.0757820 −0.0378910 0.999282i \(-0.512064\pi\)
−0.0378910 + 0.999282i \(0.512064\pi\)
\(602\) 3.45503e12 3.42727e12i 1.07218 1.06356i
\(603\) −4.62487e11 −0.142453
\(604\) 5.28472e12 1.61568
\(605\) −4.89580e11 + 8.47978e11i −0.148568 + 0.257327i
\(606\) 1.26764e12 0.381830
\(607\) −1.58769e12 + 2.74996e12i −0.474697 + 0.822200i −0.999580 0.0289749i \(-0.990776\pi\)
0.524883 + 0.851174i \(0.324109\pi\)
\(608\) −1.07750e11 + 1.86628e11i −0.0319779 + 0.0553874i
\(609\) −1.56200e12 2.70546e12i −0.460153 0.797008i
\(610\) −4.14399e12 −1.21181
\(611\) −4.08890e10 7.08219e10i −0.0118692 0.0205581i
\(612\) −5.42806e11 + 9.40168e11i −0.156410 + 0.270909i
\(613\) 1.40752e12 0.402609 0.201304 0.979529i \(-0.435482\pi\)
0.201304 + 0.979529i \(0.435482\pi\)
\(614\) 8.35434e11 1.44701e12i 0.237222 0.410880i
\(615\) 1.19265e12 + 2.06573e12i 0.336182 + 0.582284i
\(616\) 2.08551e12 + 3.61220e12i 0.583577 + 1.01079i
\(617\) 3.49606e11 + 6.05535e11i 0.0971170 + 0.168212i 0.910490 0.413531i \(-0.135705\pi\)
−0.813373 + 0.581742i \(0.802371\pi\)
\(618\) −1.25259e13 −3.45429
\(619\) 5.00074e11 + 8.66154e11i 0.136907 + 0.237130i 0.926324 0.376727i \(-0.122950\pi\)
−0.789417 + 0.613857i \(0.789617\pi\)
\(620\) −2.38790e12 4.13596e12i −0.649013 1.12412i
\(621\) 1.89185e12 3.27678e12i 0.510475 0.884168i
\(622\) −6.43440e11 + 1.11447e12i −0.172366 + 0.298547i
\(623\) −3.12822e12 −0.831957
\(624\) −1.32532e12 −0.349936
\(625\) 1.56833e12 2.71643e12i 0.411128 0.712095i
\(626\) −5.42204e12 + 9.39125e12i −1.41117 + 2.44421i
\(627\) −6.15044e11 1.06529e12i −0.158929 0.275273i
\(628\) −5.22667e11 9.05286e11i −0.134093 0.232256i
\(629\) −1.30813e12 −0.333214
\(630\) −1.33247e12 2.30791e12i −0.336996 0.583695i
\(631\) 6.06338e11 + 1.05021e12i 0.152259 + 0.263720i 0.932058 0.362310i \(-0.118012\pi\)
−0.779799 + 0.626030i \(0.784679\pi\)
\(632\) 1.49665e12 + 2.59228e12i 0.373159 + 0.646330i
\(633\) 8.33263e11 1.44325e12i 0.206284 0.357294i
\(634\) −2.46236e12 −0.605270
\(635\) −8.01127e11 + 1.38759e12i −0.195533 + 0.338673i
\(636\) −8.76120e12 1.51748e13i −2.12328 3.67762i
\(637\) 3.25387e11 0.0783020
\(638\) 2.53038e12 + 4.38275e12i 0.604634 + 1.04726i
\(639\) 3.31577e10 5.74308e10i 0.00786739 0.0136267i
\(640\) 3.51328e12 6.08519e12i 0.827758 1.43372i
\(641\) 4.70710e11 0.110127 0.0550633 0.998483i \(-0.482464\pi\)
0.0550633 + 0.998483i \(0.482464\pi\)
\(642\) −5.68221e12 + 9.84188e12i −1.32011 + 2.28650i
\(643\) 5.74789e12 1.32605 0.663024 0.748598i \(-0.269273\pi\)
0.663024 + 0.748598i \(0.269273\pi\)
\(644\) 1.21349e13 2.78003
\(645\) 3.49803e12 3.46992e12i 0.795802 0.789406i
\(646\) −7.99717e11 −0.180672
\(647\) −2.25806e12 −0.506600 −0.253300 0.967388i \(-0.581516\pi\)
−0.253300 + 0.967388i \(0.581516\pi\)
\(648\) −4.51678e12 + 7.82328e12i −1.00633 + 1.74302i
\(649\) −5.04521e12 −1.11629
\(650\) 2.09989e11 3.63711e11i 0.0461409 0.0799183i
\(651\) 1.78998e12 3.10034e12i 0.390602 0.676542i
\(652\) 5.46282e12 + 9.46188e12i 1.18387 + 2.05052i
\(653\) 4.12061e12 0.886855 0.443427 0.896310i \(-0.353762\pi\)
0.443427 + 0.896310i \(0.353762\pi\)
\(654\) −7.38558e12 1.27922e13i −1.57865 2.73430i
\(655\) −1.58959e12 + 2.75326e12i −0.337443 + 0.584468i
\(656\) 2.33764e12 0.492846
\(657\) −2.07726e12 + 3.59792e12i −0.434958 + 0.753369i
\(658\) −2.46640e11 4.27194e11i −0.0512918 0.0888400i
\(659\) −5.30191e11 9.18317e11i −0.109508 0.189674i 0.806063 0.591830i \(-0.201594\pi\)
−0.915571 + 0.402156i \(0.868261\pi\)
\(660\) 4.35932e12 + 7.55057e12i 0.894276 + 1.54893i
\(661\) −6.64139e12 −1.35317 −0.676586 0.736364i \(-0.736541\pi\)
−0.676586 + 0.736364i \(0.736541\pi\)
\(662\) −7.34313e11 1.27187e12i −0.148601 0.257384i
\(663\) 3.52204e11 + 6.10035e11i 0.0707918 + 0.122615i
\(664\) 1.24187e12 2.15099e12i 0.247925 0.429419i
\(665\) 6.47622e11 1.12171e12i 0.128418 0.222426i
\(666\) 4.23361e12 0.833829
\(667\) 7.13140e12 1.39511
\(668\) −2.18144e12 + 3.77836e12i −0.423886 + 0.734192i
\(669\) 3.00494e12 5.20471e12i 0.579988 1.00457i
\(670\) 1.20738e12 + 2.09124e12i 0.231477 + 0.400930i
\(671\) 1.66008e12 + 2.87535e12i 0.316139 + 0.547569i
\(672\) 1.14496e12 0.216586
\(673\) −2.89775e12 5.01905e12i −0.544494 0.943092i −0.998639 0.0521635i \(-0.983388\pi\)
0.454144 0.890928i \(-0.349945\pi\)
\(674\) 3.87232e12 + 6.70705e12i 0.722772 + 1.25188i
\(675\) −2.60577e11 4.51332e11i −0.0483135 0.0836815i
\(676\) 4.62178e12 8.00516e12i 0.851235 1.47438i
\(677\) −1.88622e12 −0.345100 −0.172550 0.985001i \(-0.555201\pi\)
−0.172550 + 0.985001i \(0.555201\pi\)
\(678\) −1.00298e13 + 1.73722e13i −1.82289 + 3.15734i
\(679\) 7.22453e11 + 1.25133e12i 0.130435 + 0.225921i
\(680\) 2.74545e12 0.492406
\(681\) 6.10941e12 + 1.05818e13i 1.08852 + 1.88538i
\(682\) −2.89971e12 + 5.02244e12i −0.513245 + 0.888966i
\(683\) −3.47663e11 + 6.02169e11i −0.0611315 + 0.105883i −0.894971 0.446123i \(-0.852804\pi\)
0.833840 + 0.552006i \(0.186138\pi\)
\(684\) 1.70765e12 0.298296
\(685\) −3.43235e12 + 5.94500e12i −0.595640 + 1.03168i
\(686\) 1.07226e13 1.84859
\(687\) 9.50246e12 1.62754
\(688\) −1.23093e12 4.66917e12i −0.209452 0.794496i
\(689\) −3.71441e12 −0.627919
\(690\) 1.86211e13 3.12741
\(691\) 5.87212e12 1.01708e13i 0.979814 1.69709i 0.316781 0.948499i \(-0.397398\pi\)
0.663033 0.748590i \(-0.269269\pi\)
\(692\) −2.92544e12 −0.484970
\(693\) −1.06758e12 + 1.84909e12i −0.175832 + 0.304551i
\(694\) −6.39029e12 + 1.10683e13i −1.04569 + 1.81119i
\(695\) 3.34176e12 + 5.78809e12i 0.543304 + 0.941030i
\(696\) −1.04159e13 −1.68250
\(697\) −6.21231e11 1.07600e12i −0.0997024 0.172690i
\(698\) 2.65110e12 4.59184e12i 0.422743 0.732213i
\(699\) −7.09669e12 −1.12437
\(700\) 8.35711e11 1.44749e12i 0.131557 0.227864i
\(701\) −5.25309e12 9.09863e12i −0.821645 1.42313i −0.904457 0.426566i \(-0.859723\pi\)
0.0828118 0.996565i \(-0.473610\pi\)
\(702\) 1.20932e12 + 2.09460e12i 0.187942 + 0.325525i
\(703\) 1.02883e12 + 1.78199e12i 0.158872 + 0.275174i
\(704\) −6.26072e12 −0.960610
\(705\) −2.49710e11 4.32510e11i −0.0380702 0.0659395i
\(706\) 3.89737e12 + 6.75045e12i 0.590406 + 1.02261i
\(707\) 5.34716e11 9.26156e11i 0.0804889 0.139411i
\(708\) 1.07193e13 1.85663e13i 1.60330 2.77700i
\(709\) −9.31110e12 −1.38386 −0.691931 0.721963i \(-0.743240\pi\)
−0.691931 + 0.721963i \(0.743240\pi\)
\(710\) −3.46249e11 −0.0511359
\(711\) −7.66139e11 + 1.32699e12i −0.112433 + 0.194740i
\(712\) −5.21499e12 + 9.03263e12i −0.760490 + 1.31721i
\(713\) 4.08614e12 + 7.07741e12i 0.592121 + 1.02558i
\(714\) 2.12447e12 + 3.67970e12i 0.305921 + 0.529871i
\(715\) 1.84819e12 0.264465
\(716\) −1.08703e13 1.88279e13i −1.54572 2.67727i
\(717\) −4.87963e12 8.45176e12i −0.689525 1.19429i
\(718\) −3.98277e11 6.89836e11i −0.0559275 0.0968692i
\(719\) −4.95678e11 + 8.58540e11i −0.0691703 + 0.119806i −0.898536 0.438899i \(-0.855369\pi\)
0.829366 + 0.558706i \(0.188702\pi\)
\(720\) −2.64421e12 −0.366690
\(721\) −5.28365e12 + 9.15155e12i −0.728158 + 1.26121i
\(722\) −5.63011e12 9.75164e12i −0.771080 1.33555i
\(723\) 1.28995e13 1.75569
\(724\) −5.90395e12 1.02259e13i −0.798581 1.38318i
\(725\) 4.91127e11 8.50657e11i 0.0660196 0.114349i
\(726\) −2.52626e12 + 4.37561e12i −0.337492 + 0.584554i
\(727\) −8.68971e12 −1.15372 −0.576860 0.816843i \(-0.695722\pi\)
−0.576860 + 0.816843i \(0.695722\pi\)
\(728\) −1.87856e12 + 3.25375e12i −0.247875 + 0.429332i
\(729\) 1.20596e12 0.158146
\(730\) 2.16918e13 2.82711
\(731\) −1.82207e12 + 1.80742e12i −0.236013 + 0.234117i
\(732\) −1.41083e13 −1.81625
\(733\) 1.19527e13 1.52932 0.764660 0.644434i \(-0.222907\pi\)
0.764660 + 0.644434i \(0.222907\pi\)
\(734\) 1.80700e12 3.12982e12i 0.229788 0.398004i
\(735\) 1.98714e12 0.251152
\(736\) −1.30685e12 + 2.26354e12i −0.164164 + 0.284340i
\(737\) 9.67353e11 1.67550e12i 0.120776 0.209190i
\(738\) 2.01054e12 + 3.48236e12i 0.249494 + 0.432136i
\(739\) 6.31172e12 0.778481 0.389240 0.921136i \(-0.372738\pi\)
0.389240 + 0.921136i \(0.372738\pi\)
\(740\) −7.29219e12 1.26305e13i −0.893955 1.54837i
\(741\) 5.54011e11 9.59576e11i 0.0675051 0.116922i
\(742\) −2.24051e13 −2.71350
\(743\) 5.03736e12 8.72496e12i 0.606392 1.05030i −0.385438 0.922734i \(-0.625950\pi\)
0.991830 0.127568i \(-0.0407170\pi\)
\(744\) −5.96808e12 1.03370e13i −0.714096 1.23685i
\(745\) −5.74459e12 9.94993e12i −0.683213 1.18336i
\(746\) −4.75149e12 8.22983e12i −0.561701 0.972895i
\(747\) 1.27144e12 0.149400
\(748\) −2.27070e12 3.93297e12i −0.265218 0.459371i
\(749\) 4.79374e12 + 8.30299e12i 0.556552 + 0.963977i
\(750\) 9.60855e12 1.66425e13i 1.10887 1.92063i
\(751\) −3.75541e12 + 6.50457e12i −0.430802 + 0.746172i −0.996943 0.0781372i \(-0.975103\pi\)
0.566140 + 0.824309i \(0.308436\pi\)
\(752\) −4.89443e11 −0.0558113
\(753\) −1.80397e13 −2.04480
\(754\) −2.27928e12 + 3.94783e12i −0.256819 + 0.444824i
\(755\) 3.42072e12 5.92486e12i 0.383139 0.663616i
\(756\) 4.81283e12 + 8.33606e12i 0.535861 + 0.928138i
\(757\) 4.30808e12 + 7.46181e12i 0.476817 + 0.825871i 0.999647 0.0265655i \(-0.00845706\pi\)
−0.522830 + 0.852437i \(0.675124\pi\)
\(758\) 1.13371e13 1.24735
\(759\) −7.45962e12 1.29204e13i −0.815884 1.41315i
\(760\) −2.15927e12 3.73997e12i −0.234772 0.406637i
\(761\) 6.43682e12 + 1.11489e13i 0.695730 + 1.20504i 0.969934 + 0.243368i \(0.0782522\pi\)
−0.274204 + 0.961671i \(0.588414\pi\)
\(762\) −4.13386e12 + 7.16006e12i −0.444179 + 0.769341i
\(763\) −1.24615e13 −1.33110