Properties

Label 43.10.c.a.6.2
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 6.2
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.2

$q$-expansion

\(f(q)\) \(=\) \(q-42.7383 q^{2} +(18.2764 - 31.6557i) q^{3} +1314.56 q^{4} +(-1010.01 + 1749.40i) q^{5} +(-781.103 + 1352.91i) q^{6} +(-3156.96 - 5468.02i) q^{7} -34300.0 q^{8} +(9173.44 + 15888.9i) q^{9} +O(q^{10})\) \(q-42.7383 q^{2} +(18.2764 - 31.6557i) q^{3} +1314.56 q^{4} +(-1010.01 + 1749.40i) q^{5} +(-781.103 + 1352.91i) q^{6} +(-3156.96 - 5468.02i) q^{7} -34300.0 q^{8} +(9173.44 + 15888.9i) q^{9} +(43166.3 - 74766.2i) q^{10} -48546.9 q^{11} +(24025.5 - 41613.3i) q^{12} +(66984.7 + 116021. i) q^{13} +(134923. + 233694. i) q^{14} +(36918.9 + 63945.5i) q^{15} +792869. q^{16} +(235507. + 407909. i) q^{17} +(-392057. - 679063. i) q^{18} +(230593. - 399399. i) q^{19} +(-1.32772e6 + 2.29969e6i) q^{20} -230792. q^{21} +2.07481e6 q^{22} +(-260785. + 451694. i) q^{23} +(-626882. + 1.08579e6i) q^{24} +(-1.06370e6 - 1.84238e6i) q^{25} +(-2.86281e6 - 4.95853e6i) q^{26} +1.39010e6 q^{27} +(-4.15001e6 - 7.18804e6i) q^{28} +(-727214. - 1.25957e6i) q^{29} +(-1.57785e6 - 2.73292e6i) q^{30} +(784.333 - 1358.50i) q^{31} -1.63242e7 q^{32} +(-887265. + 1.53679e6i) q^{33} +(-1.00651e7 - 1.74333e7i) q^{34} +1.27543e7 q^{35} +(1.20590e7 + 2.08869e7i) q^{36} +(-1.02987e7 + 1.78378e7i) q^{37} +(-9.85514e6 + 1.70696e7i) q^{38} +4.89697e6 q^{39} +(3.46435e7 - 6.00043e7i) q^{40} -2.46712e7 q^{41} +9.86365e6 q^{42} +(3.46233e6 - 2.21496e7i) q^{43} -6.38179e7 q^{44} -3.70612e7 q^{45} +(1.11455e7 - 1.93046e7i) q^{46} -1.76884e7 q^{47} +(1.44908e7 - 2.50988e7i) q^{48} +(243994. - 422610. i) q^{49} +(4.54605e7 + 7.87399e7i) q^{50} +1.72169e7 q^{51} +(8.80554e7 + 1.52516e8i) q^{52} +(3.27773e7 - 5.67720e7i) q^{53} -5.94105e7 q^{54} +(4.90331e7 - 8.49278e7i) q^{55} +(1.08284e8 + 1.87553e8i) q^{56} +(-8.42883e6 - 1.45992e7i) q^{57} +(3.10799e7 + 5.38319e7i) q^{58} +1.09990e7 q^{59} +(4.85322e7 + 8.40602e7i) q^{60} +(-1.00166e8 - 1.73493e8i) q^{61} +(-33521.0 + 58060.1i) q^{62} +(5.79204e7 - 1.00321e8i) q^{63} +2.91721e8 q^{64} -2.70622e8 q^{65} +(3.79202e7 - 6.56797e7i) q^{66} +(-1.27099e8 + 2.20142e8i) q^{67} +(3.09587e8 + 5.36221e8i) q^{68} +(9.53246e6 + 1.65107e7i) q^{69} -5.45097e8 q^{70} +(-1.68623e8 - 2.92064e8i) q^{71} +(-3.14649e8 - 5.44989e8i) q^{72} +(8.85080e7 + 1.53300e8i) q^{73} +(4.40147e8 - 7.62356e8i) q^{74} -7.77623e7 q^{75} +(3.03128e8 - 5.25033e8i) q^{76} +(1.53261e8 + 2.65455e8i) q^{77} -2.09288e8 q^{78} +(-2.20115e8 - 3.81250e8i) q^{79} +(-8.00809e8 + 1.38704e9i) q^{80} +(-1.55155e8 + 2.68736e8i) q^{81} +1.05441e9 q^{82} +(1.11651e8 - 1.93385e8i) q^{83} -3.03390e8 q^{84} -9.51460e8 q^{85} +(-1.47974e8 + 9.46636e8i) q^{86} -5.31635e7 q^{87} +1.66516e9 q^{88} +(-8.00762e7 + 1.38696e8i) q^{89} +1.58393e9 q^{90} +(4.22936e8 - 7.32547e8i) q^{91} +(-3.42818e8 + 5.93778e8i) q^{92} +(-28669.6 - 49657.2i) q^{93} +7.55971e8 q^{94} +(4.65804e8 + 8.06797e8i) q^{95} +(-2.98349e8 + 5.16756e8i) q^{96} -6.11362e8 q^{97} +(-1.04279e7 + 1.80616e7i) q^{98} +(-4.45343e8 - 7.71356e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −42.7383 −1.88878 −0.944391 0.328824i \(-0.893348\pi\)
−0.944391 + 0.328824i \(0.893348\pi\)
\(3\) 18.2764 31.6557i 0.130270 0.225635i −0.793510 0.608557i \(-0.791749\pi\)
0.923781 + 0.382922i \(0.125082\pi\)
\(4\) 1314.56 2.56750
\(5\) −1010.01 + 1749.40i −0.722708 + 1.25177i 0.237203 + 0.971460i \(0.423769\pi\)
−0.959911 + 0.280306i \(0.909564\pi\)
\(6\) −781.103 + 1352.91i −0.246053 + 0.426176i
\(7\) −3156.96 5468.02i −0.496968 0.860773i 0.503026 0.864271i \(-0.332220\pi\)
−0.999994 + 0.00349798i \(0.998887\pi\)
\(8\) −34300.0 −2.96067
\(9\) 9173.44 + 15888.9i 0.466059 + 0.807238i
\(10\) 43166.3 74766.2i 1.36504 2.36431i
\(11\) −48546.9 −0.999758 −0.499879 0.866095i \(-0.666622\pi\)
−0.499879 + 0.866095i \(0.666622\pi\)
\(12\) 24025.5 41613.3i 0.334469 0.579318i
\(13\) 66984.7 + 116021.i 0.650475 + 1.12666i 0.983008 + 0.183564i \(0.0587633\pi\)
−0.332533 + 0.943092i \(0.607903\pi\)
\(14\) 134923. + 233694.i 0.938664 + 1.62581i
\(15\) 36918.9 + 63945.5i 0.188295 + 0.326136i
\(16\) 792869. 3.02456
\(17\) 235507. + 407909.i 0.683885 + 1.18452i 0.973786 + 0.227466i \(0.0730442\pi\)
−0.289901 + 0.957057i \(0.593622\pi\)
\(18\) −392057. 679063.i −0.880285 1.52470i
\(19\) 230593. 399399.i 0.405933 0.703097i −0.588496 0.808500i \(-0.700280\pi\)
0.994430 + 0.105403i \(0.0336132\pi\)
\(20\) −1.32772e6 + 2.29969e6i −1.85555 + 3.21391i
\(21\) −230792. −0.258961
\(22\) 2.07481e6 1.88832
\(23\) −260785. + 451694.i −0.194316 + 0.336565i −0.946676 0.322187i \(-0.895582\pi\)
0.752360 + 0.658752i \(0.228915\pi\)
\(24\) −626882. + 1.08579e6i −0.385687 + 0.668030i
\(25\) −1.06370e6 1.84238e6i −0.544612 0.943296i
\(26\) −2.86281e6 4.95853e6i −1.22861 2.12801i
\(27\) 1.39010e6 0.503396
\(28\) −4.15001e6 7.18804e6i −1.27596 2.21003i
\(29\) −727214. 1.25957e6i −0.190929 0.330698i 0.754630 0.656151i \(-0.227817\pi\)
−0.945558 + 0.325453i \(0.894483\pi\)
\(30\) −1.57785e6 2.73292e6i −0.355648 0.616001i
\(31\) 784.333 1358.50i 0.000152536 0.000264200i −0.865949 0.500132i \(-0.833285\pi\)
0.866102 + 0.499868i \(0.166618\pi\)
\(32\) −1.63242e7 −2.75206
\(33\) −887265. + 1.53679e6i −0.130239 + 0.225580i
\(34\) −1.00651e7 1.74333e7i −1.29171 2.23731i
\(35\) 1.27543e7 1.43665
\(36\) 1.20590e7 + 2.08869e7i 1.19661 + 2.07258i
\(37\) −1.02987e7 + 1.78378e7i −0.903384 + 1.56471i −0.0803132 + 0.996770i \(0.525592\pi\)
−0.823071 + 0.567938i \(0.807741\pi\)
\(38\) −9.85514e6 + 1.70696e7i −0.766720 + 1.32800i
\(39\) 4.89697e6 0.338951
\(40\) 3.46435e7 6.00043e7i 2.13970 3.70606i
\(41\) −2.46712e7 −1.36353 −0.681763 0.731573i \(-0.738787\pi\)
−0.681763 + 0.731573i \(0.738787\pi\)
\(42\) 9.86365e6 0.489121
\(43\) 3.46233e6 2.21496e7i 0.154440 0.988002i
\(44\) −6.38179e7 −2.56688
\(45\) −3.70612e7 −1.34730
\(46\) 1.11455e7 1.93046e7i 0.367020 0.635698i
\(47\) −1.76884e7 −0.528747 −0.264374 0.964420i \(-0.585165\pi\)
−0.264374 + 0.964420i \(0.585165\pi\)
\(48\) 1.44908e7 2.50988e7i 0.394010 0.682446i
\(49\) 243994. 422610.i 0.00604640 0.0104727i
\(50\) 4.54605e7 + 7.87399e7i 1.02865 + 1.78168i
\(51\) 1.72169e7 0.356360
\(52\) 8.80554e7 + 1.52516e8i 1.67009 + 2.89269i
\(53\) 3.27773e7 5.67720e7i 0.570600 0.988309i −0.425904 0.904768i \(-0.640044\pi\)
0.996504 0.0835406i \(-0.0266228\pi\)
\(54\) −5.94105e7 −0.950805
\(55\) 4.90331e7 8.49278e7i 0.722532 1.25146i
\(56\) 1.08284e8 + 1.87553e8i 1.47136 + 2.54846i
\(57\) −8.42883e6 1.45992e7i −0.105762 0.183186i
\(58\) 3.10799e7 + 5.38319e7i 0.360623 + 0.624617i
\(59\) 1.09990e7 0.118173 0.0590866 0.998253i \(-0.481181\pi\)
0.0590866 + 0.998253i \(0.481181\pi\)
\(60\) 4.85322e7 + 8.40602e7i 0.483447 + 0.837355i
\(61\) −1.00166e8 1.73493e8i −0.926268 1.60434i −0.789509 0.613739i \(-0.789665\pi\)
−0.136758 0.990604i \(-0.543668\pi\)
\(62\) −33521.0 + 58060.1i −0.000288108 + 0.000499017i
\(63\) 5.79204e7 1.00321e8i 0.463233 0.802343i
\(64\) 2.91721e8 2.17349
\(65\) −2.70622e8 −1.88041
\(66\) 3.79202e7 6.56797e7i 0.245993 0.426072i
\(67\) −1.27099e8 + 2.20142e8i −0.770558 + 1.33465i 0.166700 + 0.986008i \(0.446689\pi\)
−0.937258 + 0.348638i \(0.886644\pi\)
\(68\) 3.09587e8 + 5.36221e8i 1.75587 + 3.04126i
\(69\) 9.53246e6 + 1.65107e7i 0.0506272 + 0.0876889i
\(70\) −5.45097e8 −2.71352
\(71\) −1.68623e8 2.92064e8i −0.787508 1.36400i −0.927489 0.373850i \(-0.878037\pi\)
0.139981 0.990154i \(-0.455296\pi\)
\(72\) −3.14649e8 5.44989e8i −1.37985 2.38996i
\(73\) 8.85080e7 + 1.53300e8i 0.364779 + 0.631815i 0.988741 0.149639i \(-0.0478113\pi\)
−0.623962 + 0.781455i \(0.714478\pi\)
\(74\) 4.40147e8 7.62356e8i 1.70630 2.95539i
\(75\) −7.77623e7 −0.283788
\(76\) 3.03128e8 5.25033e8i 1.04223 1.80520i
\(77\) 1.53261e8 + 2.65455e8i 0.496847 + 0.860565i
\(78\) −2.09288e8 −0.640204
\(79\) −2.20115e8 3.81250e8i −0.635810 1.10126i −0.986343 0.164705i \(-0.947333\pi\)
0.350532 0.936551i \(-0.386001\pi\)
\(80\) −8.00809e8 + 1.38704e9i −2.18587 + 3.78604i
\(81\) −1.55155e8 + 2.68736e8i −0.400482 + 0.693654i
\(82\) 1.05441e9 2.57540
\(83\) 1.11651e8 1.93385e8i 0.258232 0.447272i −0.707536 0.706677i \(-0.750193\pi\)
0.965768 + 0.259406i \(0.0835266\pi\)
\(84\) −3.03390e8 −0.664882
\(85\) −9.51460e8 −1.97699
\(86\) −1.47974e8 + 9.46636e8i −0.291704 + 1.86612i
\(87\) −5.31635e7 −0.0994895
\(88\) 1.66516e9 2.95995
\(89\) −8.00762e7 + 1.38696e8i −0.135285 + 0.234320i −0.925706 0.378244i \(-0.876528\pi\)
0.790422 + 0.612563i \(0.209862\pi\)
\(90\) 1.58393e9 2.54475
\(91\) 4.22936e8 7.32547e8i 0.646530 1.11982i
\(92\) −3.42818e8 + 5.93778e8i −0.498906 + 0.864130i
\(93\) −28669.6 49657.2i −3.97419e−5 6.88350e-5i
\(94\) 7.55971e8 0.998688
\(95\) 4.65804e8 + 8.06797e8i 0.586742 + 1.01627i
\(96\) −2.98349e8 + 5.16756e8i −0.358512 + 0.620962i
\(97\) −6.11362e8 −0.701174 −0.350587 0.936530i \(-0.614018\pi\)
−0.350587 + 0.936530i \(0.614018\pi\)
\(98\) −1.04279e7 + 1.80616e7i −0.0114203 + 0.0197806i
\(99\) −4.45343e8 7.71356e8i −0.465946 0.807043i
\(100\) −1.39829e9 2.42191e9i −1.39829 2.42191i
\(101\) 7.30895e8 + 1.26595e9i 0.698890 + 1.21051i 0.968852 + 0.247642i \(0.0796557\pi\)
−0.269961 + 0.962871i \(0.587011\pi\)
\(102\) −7.35820e8 −0.673086
\(103\) −7.02779e8 1.21725e9i −0.615249 1.06564i −0.990341 0.138655i \(-0.955722\pi\)
0.375091 0.926988i \(-0.377611\pi\)
\(104\) −2.29758e9 3.97952e9i −1.92584 3.33565i
\(105\) 2.33103e8 4.03747e8i 0.187153 0.324158i
\(106\) −1.40085e9 + 2.42634e9i −1.07774 + 1.86670i
\(107\) −2.07405e7 −0.0152965 −0.00764824 0.999971i \(-0.502435\pi\)
−0.00764824 + 0.999971i \(0.502435\pi\)
\(108\) 1.82737e9 1.29247
\(109\) 5.47635e8 9.48531e8i 0.371597 0.643624i −0.618215 0.786009i \(-0.712144\pi\)
0.989811 + 0.142385i \(0.0454771\pi\)
\(110\) −2.09559e9 + 3.62967e9i −1.36471 + 2.36374i
\(111\) 3.76445e8 + 6.52022e8i 0.235369 + 0.407670i
\(112\) −2.50306e9 4.33542e9i −1.50311 2.60346i
\(113\) 1.93227e9 1.11485 0.557423 0.830228i \(-0.311790\pi\)
0.557423 + 0.830228i \(0.311790\pi\)
\(114\) 3.60234e8 + 6.23943e8i 0.199762 + 0.345998i
\(115\) −5.26794e8 9.12434e8i −0.280867 0.486476i
\(116\) −9.55966e8 1.65578e9i −0.490209 0.849067i
\(117\) −1.22896e9 + 2.12862e9i −0.606319 + 1.05018i
\(118\) −4.70078e8 −0.223203
\(119\) 1.48697e9 2.57551e9i 0.679737 1.17734i
\(120\) −1.26632e9 2.19333e9i −0.557478 0.965581i
\(121\) −1.14280e6 −0.000484659
\(122\) 4.28093e9 + 7.41478e9i 1.74952 + 3.03026i
\(123\) −4.50902e8 + 7.80986e8i −0.177627 + 0.307659i
\(124\) 1.03105e6 1.78583e6i 0.000391636 0.000678334i
\(125\) 3.52024e8 0.128967
\(126\) −2.47542e9 + 4.28755e9i −0.874946 + 1.51545i
\(127\) 1.10477e9 0.376840 0.188420 0.982089i \(-0.439663\pi\)
0.188420 + 0.982089i \(0.439663\pi\)
\(128\) −4.10964e9 −1.35319
\(129\) −6.37883e8 5.14418e8i −0.202809 0.163555i
\(130\) 1.15659e10 3.55169
\(131\) −3.55825e9 −1.05564 −0.527820 0.849356i \(-0.676990\pi\)
−0.527820 + 0.849356i \(0.676990\pi\)
\(132\) −1.16636e9 + 2.02020e9i −0.334388 + 0.579178i
\(133\) −2.91189e9 −0.806943
\(134\) 5.43199e9 9.40848e9i 1.45542 2.52085i
\(135\) −1.40402e9 + 2.43184e9i −0.363808 + 0.630134i
\(136\) −8.07788e9 1.39913e10i −2.02475 3.50698i
\(137\) 1.08871e9 0.264040 0.132020 0.991247i \(-0.457854\pi\)
0.132020 + 0.991247i \(0.457854\pi\)
\(138\) −4.07401e8 7.05639e8i −0.0956238 0.165625i
\(139\) −1.03428e9 + 1.79142e9i −0.235002 + 0.407035i −0.959273 0.282480i \(-0.908843\pi\)
0.724271 + 0.689515i \(0.242176\pi\)
\(140\) 1.67663e10 3.68860
\(141\) −3.23281e8 + 5.59939e8i −0.0688801 + 0.119304i
\(142\) 7.20667e9 + 1.24823e10i 1.48743 + 2.57631i
\(143\) −3.25190e9 5.63246e9i −0.650317 1.12638i
\(144\) 7.27334e9 + 1.25978e10i 1.40962 + 2.44154i
\(145\) 2.93799e9 0.551942
\(146\) −3.78268e9 6.55179e9i −0.688988 1.19336i
\(147\) −8.91868e6 1.54476e7i −0.00157533 0.00272856i
\(148\) −1.35382e10 + 2.34488e10i −2.31944 + 4.01739i
\(149\) 2.11509e9 3.66344e9i 0.351552 0.608906i −0.634970 0.772537i \(-0.718987\pi\)
0.986522 + 0.163631i \(0.0523207\pi\)
\(150\) 3.32343e9 0.536013
\(151\) 1.19839e10 1.87586 0.937930 0.346824i \(-0.112740\pi\)
0.937930 + 0.346824i \(0.112740\pi\)
\(152\) −7.90934e9 + 1.36994e10i −1.20183 + 2.08164i
\(153\) −4.32081e9 + 7.48387e9i −0.637462 + 1.10412i
\(154\) −6.55010e9 1.13451e10i −0.938436 1.62542i
\(155\) 1.58437e6 + 2.74422e6i 0.000220478 + 0.000381879i
\(156\) 6.43735e9 0.870255
\(157\) −9.77607e8 1.69327e9i −0.128415 0.222421i 0.794648 0.607071i \(-0.207656\pi\)
−0.923063 + 0.384650i \(0.874322\pi\)
\(158\) 9.40733e9 + 1.62940e10i 1.20091 + 2.08003i
\(159\) −1.19811e9 2.07518e9i −0.148665 0.257495i
\(160\) 1.64877e10 2.85576e10i 1.98894 3.44494i
\(161\) 3.29316e9 0.386275
\(162\) 6.63105e9 1.14853e10i 0.756423 1.31016i
\(163\) 8.30834e8 + 1.43905e9i 0.0921871 + 0.159673i 0.908431 0.418034i \(-0.137281\pi\)
−0.816244 + 0.577707i \(0.803948\pi\)
\(164\) −3.24318e10 −3.50085
\(165\) −1.79230e9 3.10436e9i −0.188249 0.326057i
\(166\) −4.77177e9 + 8.26494e9i −0.487745 + 0.844799i
\(167\) −4.35136e9 + 7.53678e9i −0.432914 + 0.749828i −0.997123 0.0758035i \(-0.975848\pi\)
0.564209 + 0.825632i \(0.309181\pi\)
\(168\) 7.91617e9 0.766697
\(169\) −3.67164e9 + 6.35947e9i −0.346235 + 0.599696i
\(170\) 4.06638e10 3.73411
\(171\) 8.46132e9 0.756756
\(172\) 4.55144e9 2.91170e10i 0.396525 2.53670i
\(173\) −2.20627e9 −0.187263 −0.0936314 0.995607i \(-0.529848\pi\)
−0.0936314 + 0.995607i \(0.529848\pi\)
\(174\) 2.27212e9 0.187914
\(175\) −6.71609e9 + 1.16326e10i −0.541309 + 0.937575i
\(176\) −3.84914e10 −3.02382
\(177\) 2.01022e8 3.48181e8i 0.0153945 0.0266640i
\(178\) 3.42232e9 5.92763e9i 0.255523 0.442579i
\(179\) −1.03608e10 1.79455e10i −0.754320 1.30652i −0.945712 0.325006i \(-0.894634\pi\)
0.191392 0.981514i \(-0.438700\pi\)
\(180\) −4.87192e10 −3.45919
\(181\) 6.81984e9 + 1.18123e10i 0.472303 + 0.818053i 0.999498 0.0316916i \(-0.0100894\pi\)
−0.527195 + 0.849745i \(0.676756\pi\)
\(182\) −1.80756e10 + 3.13078e10i −1.22115 + 2.11510i
\(183\) −7.32272e9 −0.482661
\(184\) 8.94495e9 1.54931e10i 0.575304 0.996456i
\(185\) −2.08036e10 3.60328e10i −1.30577 2.26165i
\(186\) 1.22529e6 + 2.12226e6i 7.50638e−5 + 0.000130014i
\(187\) −1.14331e10 1.98027e10i −0.683719 1.18424i
\(188\) −2.32524e10 −1.35756
\(189\) −4.38850e9 7.60110e9i −0.250171 0.433310i
\(190\) −1.99077e10 3.44811e10i −1.10823 1.91951i
\(191\) 2.74825e9 4.76011e9i 0.149419 0.258802i −0.781594 0.623788i \(-0.785593\pi\)
0.931013 + 0.364986i \(0.118926\pi\)
\(192\) 5.33162e9 9.23464e9i 0.283142 0.490416i
\(193\) 7.85087e9 0.407296 0.203648 0.979044i \(-0.434720\pi\)
0.203648 + 0.979044i \(0.434720\pi\)
\(194\) 2.61286e10 1.32436
\(195\) −4.94601e9 + 8.56673e9i −0.244962 + 0.424287i
\(196\) 3.20745e8 5.55546e8i 0.0155241 0.0268886i
\(197\) −5.48153e9 9.49428e9i −0.259301 0.449122i 0.706754 0.707459i \(-0.250159\pi\)
−0.966055 + 0.258337i \(0.916825\pi\)
\(198\) 1.90332e10 + 3.29664e10i 0.880071 + 1.52433i
\(199\) 9.18649e9 0.415251 0.207626 0.978208i \(-0.433426\pi\)
0.207626 + 0.978208i \(0.433426\pi\)
\(200\) 3.64848e10 + 6.31935e10i 1.61242 + 2.79279i
\(201\) 4.64583e9 + 8.04682e9i 0.200762 + 0.347730i
\(202\) −3.12372e10 5.41044e10i −1.32005 2.28640i
\(203\) −4.59157e9 + 7.95284e9i −0.189771 + 0.328693i
\(204\) 2.26326e10 0.914954
\(205\) 2.49183e10 4.31598e10i 0.985431 1.70682i
\(206\) 3.00355e10 + 5.20231e10i 1.16207 + 2.01277i
\(207\) −9.56920e9 −0.362251
\(208\) 5.31101e10 + 9.19894e10i 1.96740 + 3.40763i
\(209\) −1.11946e10 + 1.93896e10i −0.405835 + 0.702927i
\(210\) −9.96243e9 + 1.72554e10i −0.353491 + 0.612265i
\(211\) 1.38836e10 0.482205 0.241103 0.970500i \(-0.422491\pi\)
0.241103 + 0.970500i \(0.422491\pi\)
\(212\) 4.30878e10 7.46302e10i 1.46502 2.53748i
\(213\) −1.23273e10 −0.410356
\(214\) 8.86412e8 0.0288917
\(215\) 3.52514e10 + 2.84284e10i 1.12513 + 0.907360i
\(216\) −4.76805e10 −1.49039
\(217\) −9.90443e6 −0.000303222
\(218\) −2.34050e10 + 4.05386e10i −0.701865 + 1.21567i
\(219\) 6.47044e9 0.190080
\(220\) 6.44570e10 1.11643e11i 1.85510 3.21313i
\(221\) −3.15507e10 + 5.46474e10i −0.889699 + 1.54100i
\(222\) −1.60886e10 2.78663e10i −0.444560 0.770001i
\(223\) −5.50111e10 −1.48963 −0.744814 0.667272i \(-0.767462\pi\)
−0.744814 + 0.667272i \(0.767462\pi\)
\(224\) 5.15350e10 + 8.92612e10i 1.36769 + 2.36890i
\(225\) 1.95155e10 3.38019e10i 0.507643 0.879264i
\(226\) −8.25819e10 −2.10570
\(227\) 7.87718e7 1.36437e8i 0.00196904 0.00341048i −0.865039 0.501704i \(-0.832707\pi\)
0.867008 + 0.498294i \(0.166040\pi\)
\(228\) −1.10802e10 1.91915e10i −0.271544 0.470329i
\(229\) −1.08613e10 1.88123e10i −0.260988 0.452045i 0.705517 0.708693i \(-0.250715\pi\)
−0.966505 + 0.256649i \(0.917382\pi\)
\(230\) 2.25143e10 + 3.89959e10i 0.530497 + 0.918847i
\(231\) 1.12042e10 0.258898
\(232\) 2.49435e10 + 4.32033e10i 0.565276 + 0.979087i
\(233\) −1.69427e10 2.93457e10i −0.376602 0.652293i 0.613964 0.789334i \(-0.289574\pi\)
−0.990565 + 0.137041i \(0.956241\pi\)
\(234\) 5.25236e10 9.09736e10i 1.14521 1.98355i
\(235\) 1.78655e10 3.09440e10i 0.382129 0.661868i
\(236\) 1.44588e10 0.303409
\(237\) −1.60917e10 −0.331309
\(238\) −6.35505e10 + 1.10073e11i −1.28388 + 2.22374i
\(239\) −3.94492e10 + 6.83279e10i −0.782073 + 1.35459i 0.148660 + 0.988888i \(0.452504\pi\)
−0.930732 + 0.365701i \(0.880829\pi\)
\(240\) 2.92719e10 + 5.07004e10i 0.569508 + 0.986417i
\(241\) 4.54906e10 + 7.87921e10i 0.868651 + 1.50455i 0.863376 + 0.504562i \(0.168346\pi\)
0.00527530 + 0.999986i \(0.498321\pi\)
\(242\) 4.88413e7 0.000915415
\(243\) 1.93520e10 + 3.35187e10i 0.356040 + 0.616679i
\(244\) −1.31674e11 2.28067e11i −2.37819 4.11915i
\(245\) 4.92875e8 + 8.53685e8i 0.00873956 + 0.0151374i
\(246\) 1.92708e10 3.33780e10i 0.335499 0.581102i
\(247\) 6.17848e10 1.05620
\(248\) −2.69026e7 + 4.65967e7i −0.000451609 + 0.000782209i
\(249\) −4.08116e9 7.06878e9i −0.0672801 0.116533i
\(250\) −1.50449e10 −0.243590
\(251\) −2.99874e10 5.19397e10i −0.476878 0.825977i 0.522771 0.852473i \(-0.324898\pi\)
−0.999649 + 0.0264963i \(0.991565\pi\)
\(252\) 7.61399e10 1.31878e11i 1.18935 2.06001i
\(253\) 1.26603e10 2.19283e10i 0.194269 0.336483i
\(254\) −4.72161e10 −0.711768
\(255\) −1.73893e10 + 3.01192e10i −0.257544 + 0.446079i
\(256\) 2.62777e10 0.382391
\(257\) −1.25348e11 −1.79233 −0.896167 0.443716i \(-0.853660\pi\)
−0.896167 + 0.443716i \(0.853660\pi\)
\(258\) 2.72620e10 + 2.19854e10i 0.383062 + 0.308919i
\(259\) 1.30050e11 1.79581
\(260\) −3.55749e11 −4.82796
\(261\) 1.33421e10 2.31092e10i 0.177968 0.308250i
\(262\) 1.52074e11 1.99387
\(263\) 3.49600e10 6.05524e10i 0.450578 0.780424i −0.547844 0.836581i \(-0.684551\pi\)
0.998422 + 0.0561565i \(0.0178846\pi\)
\(264\) 3.04332e10 5.27119e10i 0.385594 0.667868i
\(265\) 6.62111e10 + 1.14681e11i 0.824754 + 1.42852i
\(266\) 1.24449e11 1.52414
\(267\) 2.92701e9 + 5.06974e9i 0.0352472 + 0.0610499i
\(268\) −1.67079e11 + 2.89390e11i −1.97841 + 3.42670i
\(269\) 1.42150e11 1.65524 0.827619 0.561290i \(-0.189695\pi\)
0.827619 + 0.561290i \(0.189695\pi\)
\(270\) 6.00055e10 1.03933e11i 0.687154 1.19019i
\(271\) −3.66420e9 6.34659e9i −0.0412684 0.0714790i 0.844653 0.535314i \(-0.179807\pi\)
−0.885922 + 0.463835i \(0.846473\pi\)
\(272\) 1.86726e11 + 3.23419e11i 2.06845 + 3.58266i
\(273\) −1.54595e10 2.67767e10i −0.168447 0.291760i
\(274\) −4.65296e10 −0.498715
\(275\) 5.16392e10 + 8.94417e10i 0.544480 + 0.943068i
\(276\) 1.25310e10 + 2.17043e10i 0.129985 + 0.225141i
\(277\) 1.36302e10 2.36081e10i 0.139105 0.240936i −0.788053 0.615607i \(-0.788911\pi\)
0.927158 + 0.374671i \(0.122244\pi\)
\(278\) 4.42033e10 7.65624e10i 0.443867 0.768801i
\(279\) 2.87801e7 0.000284363
\(280\) −4.37473e11 −4.25344
\(281\) 6.91915e10 1.19843e11i 0.662025 1.14666i −0.318058 0.948071i \(-0.603031\pi\)
0.980083 0.198589i \(-0.0636360\pi\)
\(282\) 1.38165e10 2.39308e10i 0.130100 0.225339i
\(283\) 1.50256e10 + 2.60251e10i 0.139249 + 0.241186i 0.927213 0.374536i \(-0.122198\pi\)
−0.787964 + 0.615722i \(0.788864\pi\)
\(284\) −2.21665e11 3.83936e11i −2.02193 3.50208i
\(285\) 3.40530e10 0.305741
\(286\) 1.38981e11 + 2.40721e11i 1.22831 + 2.12749i
\(287\) 7.78861e10 + 1.34903e11i 0.677628 + 1.17369i
\(288\) −1.49750e11 2.59374e11i −1.28262 2.22157i
\(289\) −5.16327e10 + 8.94305e10i −0.435396 + 0.754129i
\(290\) −1.25564e11 −1.04250
\(291\) −1.11735e10 + 1.93531e10i −0.0913422 + 0.158209i
\(292\) 1.16349e11 + 2.01522e11i 0.936569 + 1.62219i
\(293\) −6.59527e10 −0.522791 −0.261396 0.965232i \(-0.584183\pi\)
−0.261396 + 0.965232i \(0.584183\pi\)
\(294\) 3.81169e8 + 6.60204e8i 0.00297546 + 0.00515366i
\(295\) −1.11091e10 + 1.92416e10i −0.0854046 + 0.147925i
\(296\) 3.53244e11 6.11837e11i 2.67462 4.63258i
\(297\) −6.74852e10 −0.503274
\(298\) −9.03951e10 + 1.56569e11i −0.664005 + 1.15009i
\(299\) −6.98745e10 −0.505590
\(300\) −1.02223e11 −0.728625
\(301\) −1.32045e11 + 5.09933e10i −0.927198 + 0.358067i
\(302\) −5.12170e11 −3.54309
\(303\) 5.34326e10 0.364179
\(304\) 1.82830e11 3.16671e11i 1.22777 2.12656i
\(305\) 4.04677e11 2.67768
\(306\) 1.84664e11 3.19848e11i 1.20403 2.08543i
\(307\) 2.68976e10 4.65880e10i 0.172819 0.299331i −0.766586 0.642142i \(-0.778046\pi\)
0.939404 + 0.342811i \(0.111379\pi\)
\(308\) 2.01470e11 + 3.48957e11i 1.27566 + 2.20950i
\(309\) −5.13772e10 −0.320595
\(310\) −6.77134e7 1.17283e8i −0.000416435 0.000721287i
\(311\) −4.12061e10 + 7.13711e10i −0.249770 + 0.432614i −0.963462 0.267846i \(-0.913688\pi\)
0.713692 + 0.700460i \(0.247022\pi\)
\(312\) −1.67966e11 −1.00352
\(313\) −1.10144e11 + 1.90775e11i −0.648650 + 1.12349i 0.334796 + 0.942291i \(0.391333\pi\)
−0.983446 + 0.181204i \(0.942001\pi\)
\(314\) 4.17812e10 + 7.23672e10i 0.242548 + 0.420106i
\(315\) 1.17001e11 + 2.02652e11i 0.669563 + 1.15972i
\(316\) −2.89354e11 5.01176e11i −1.63244 2.82747i
\(317\) 1.24571e11 0.692866 0.346433 0.938075i \(-0.387393\pi\)
0.346433 + 0.938075i \(0.387393\pi\)
\(318\) 5.12050e10 + 8.86896e10i 0.280795 + 0.486352i
\(319\) 3.53040e10 + 6.11483e10i 0.190882 + 0.330618i
\(320\) −2.94642e11 + 5.10336e11i −1.57080 + 2.72070i
\(321\) −3.79062e8 + 6.56555e8i −0.00199268 + 0.00345142i
\(322\) −1.40744e11 −0.729589
\(323\) 2.17225e11 1.11045
\(324\) −2.03960e11 + 3.53270e11i −1.02824 + 1.78096i
\(325\) 1.42503e11 2.46822e11i 0.708513 1.22718i
\(326\) −3.55084e10 6.15024e10i −0.174121 0.301587i
\(327\) −2.00176e10 3.46715e10i −0.0968161 0.167690i
\(328\) 8.46224e11 4.03695
\(329\) 5.58416e10 + 9.67204e10i 0.262770 + 0.455131i
\(330\) 7.65999e10 + 1.32675e11i 0.355562 + 0.615851i
\(331\) −1.74422e11 3.02108e11i −0.798685 1.38336i −0.920473 0.390807i \(-0.872196\pi\)
0.121788 0.992556i \(-0.461137\pi\)
\(332\) 1.46772e11 2.54216e11i 0.663012 1.14837i
\(333\) −3.77896e11 −1.68412
\(334\) 1.85970e11 3.22109e11i 0.817680 1.41626i
\(335\) −2.56743e11 4.44693e11i −1.11378 1.92912i
\(336\) −1.82988e11 −0.783241
\(337\) 7.41137e10 + 1.28369e11i 0.313014 + 0.542156i 0.979013 0.203796i \(-0.0653280\pi\)
−0.665999 + 0.745952i \(0.731995\pi\)
\(338\) 1.56920e11 2.71793e11i 0.653962 1.13270i
\(339\) 3.53150e10 6.11674e10i 0.145232 0.251548i
\(340\) −1.25075e12 −5.07593
\(341\) −3.80769e7 + 6.59512e7i −0.000152499 + 0.000264136i
\(342\) −3.61622e11 −1.42935
\(343\) −2.57871e11 −1.00595
\(344\) −1.18758e11 + 7.59732e11i −0.457246 + 2.92514i
\(345\) −3.85117e10 −0.146355
\(346\) 9.42922e10 0.353699
\(347\) −9.95558e10 + 1.72436e11i −0.368624 + 0.638476i −0.989351 0.145551i \(-0.953504\pi\)
0.620726 + 0.784027i \(0.286838\pi\)
\(348\) −6.98866e10 −0.255439
\(349\) −1.33481e11 + 2.31196e11i −0.481621 + 0.834192i −0.999777 0.0210939i \(-0.993285\pi\)
0.518157 + 0.855286i \(0.326618\pi\)
\(350\) 2.87034e11 4.97158e11i 1.02242 1.77088i
\(351\) 9.31155e10 + 1.61281e11i 0.327446 + 0.567154i
\(352\) 7.92492e11 2.75139
\(353\) 4.03786e10 + 6.99378e10i 0.138409 + 0.239732i 0.926895 0.375322i \(-0.122468\pi\)
−0.788485 + 0.615053i \(0.789134\pi\)
\(354\) −8.59135e9 + 1.48807e10i −0.0290768 + 0.0503625i
\(355\) 6.81248e11 2.27655
\(356\) −1.05265e11 + 1.82324e11i −0.347343 + 0.601616i
\(357\) −5.43530e10 9.41422e10i −0.177099 0.306745i
\(358\) 4.42803e11 + 7.66958e11i 1.42475 + 2.46773i
\(359\) −2.80913e11 4.86556e11i −0.892580 1.54599i −0.836772 0.547552i \(-0.815560\pi\)
−0.0558084 0.998441i \(-0.517774\pi\)
\(360\) 1.27120e12 3.98890
\(361\) 5.49977e10 + 9.52588e10i 0.170436 + 0.295204i
\(362\) −2.91468e11 5.04838e11i −0.892078 1.54512i
\(363\) −2.08863e7 + 3.61761e7i −6.31367e−5 + 0.000109356i
\(364\) 5.55975e11 9.62977e11i 1.65996 2.87514i
\(365\) −3.57577e11 −1.05451
\(366\) 3.12960e11 0.911642
\(367\) −2.48692e11 + 4.30748e11i −0.715592 + 1.23944i 0.247139 + 0.968980i \(0.420509\pi\)
−0.962731 + 0.270461i \(0.912824\pi\)
\(368\) −2.06769e11 + 3.58134e11i −0.587719 + 1.01796i
\(369\) −2.26320e11 3.91998e11i −0.635484 1.10069i
\(370\) 8.89109e11 + 1.53998e12i 2.46631 + 4.27177i
\(371\) −4.13907e11 −1.13428
\(372\) −3.76879e7 6.52774e7i −0.000102037 0.000176734i
\(373\) −1.93136e11 3.34521e11i −0.516622 0.894816i −0.999814 0.0193015i \(-0.993856\pi\)
0.483191 0.875515i \(-0.339478\pi\)
\(374\) 4.88632e11 + 8.46335e11i 1.29140 + 2.23676i
\(375\) 6.43375e9 1.11436e10i 0.0168005 0.0290994i
\(376\) 6.06712e11 1.56544
\(377\) 9.74244e10 1.68744e11i 0.248389 0.430222i
\(378\) 1.87557e11 + 3.24858e11i 0.472519 + 0.818428i
\(379\) −2.61529e11 −0.651093 −0.325547 0.945526i \(-0.605548\pi\)
−0.325547 + 0.945526i \(0.605548\pi\)
\(380\) 6.12328e11 + 1.06058e12i 1.50646 + 2.60927i
\(381\) 2.01913e10 3.49724e10i 0.0490911 0.0850282i
\(382\) −1.17456e11 + 2.03439e11i −0.282220 + 0.488820i
\(383\) 4.38426e11 1.04112 0.520561 0.853824i \(-0.325723\pi\)
0.520561 + 0.853824i \(0.325723\pi\)
\(384\) −7.51095e10 + 1.30094e11i −0.176281 + 0.305327i
\(385\) −6.19182e11 −1.43630
\(386\) −3.35532e11 −0.769293
\(387\) 3.83694e11 1.48176e11i 0.869531 0.335797i
\(388\) −8.03672e11 −1.80026
\(389\) −6.37735e11 −1.41211 −0.706053 0.708159i \(-0.749526\pi\)
−0.706053 + 0.708159i \(0.749526\pi\)
\(390\) 2.11384e11 3.66127e11i 0.462680 0.801386i
\(391\) −2.45667e11 −0.531558
\(392\) −8.36900e9 + 1.44955e10i −0.0179014 + 0.0310061i
\(393\) −6.50322e10 + 1.12639e11i −0.137519 + 0.238189i
\(394\) 2.34271e11 + 4.05769e11i 0.489762 + 0.848293i
\(395\) 8.89277e11 1.83802
\(396\) −5.85429e11 1.01399e12i −1.19632 2.07208i
\(397\) 3.70836e11 6.42307e11i 0.749246 1.29773i −0.198938 0.980012i \(-0.563749\pi\)
0.948184 0.317720i \(-0.102917\pi\)
\(398\) −3.92615e11 −0.784319
\(399\) −5.32190e10 + 9.21780e10i −0.105121 + 0.182075i
\(400\) −8.43372e11 1.46076e12i −1.64721 2.85305i
\(401\) −1.31227e11 2.27291e11i −0.253438 0.438968i 0.711032 0.703160i \(-0.248228\pi\)
−0.964470 + 0.264192i \(0.914895\pi\)
\(402\) −1.98555e11 3.43907e11i −0.379195 0.656786i
\(403\) 2.10153e8 0.000396883
\(404\) 9.60806e11 + 1.66416e12i 1.79440 + 3.10799i
\(405\) −3.13417e11 5.42854e11i −0.578862 1.00262i
\(406\) 1.96236e11 3.39890e11i 0.358436 0.620829i
\(407\) 4.99968e11 8.65970e11i 0.903166 1.56433i
\(408\) −5.90540e11 −1.05506
\(409\) 6.22588e10 0.110014 0.0550068 0.998486i \(-0.482482\pi\)
0.0550068 + 0.998486i \(0.482482\pi\)
\(410\) −1.06497e12 + 1.84457e12i −1.86126 + 3.22380i
\(411\) 1.98978e10 3.44639e10i 0.0343967 0.0595767i
\(412\) −9.23845e11 1.60015e12i −1.57965 2.73604i
\(413\) −3.47234e10 6.01427e10i −0.0587282 0.101720i
\(414\) 4.08971e11 0.684213
\(415\) 2.25538e11 + 3.90643e11i 0.373253 + 0.646493i
\(416\) −1.09347e12 1.89395e12i −1.79015 3.10062i
\(417\) 3.78059e10 + 6.54817e10i 0.0612276 + 0.106049i
\(418\) 4.78437e11 8.28677e11i 0.766534 1.32768i
\(419\) −6.21129e11 −0.984507 −0.492253 0.870452i \(-0.663827\pi\)
−0.492253 + 0.870452i \(0.663827\pi\)
\(420\) 3.06428e11 5.30749e11i 0.480515 0.832276i
\(421\) −2.90528e11 5.03209e11i −0.450732 0.780690i 0.547700 0.836675i \(-0.315503\pi\)
−0.998432 + 0.0559848i \(0.982170\pi\)
\(422\) −5.93362e11 −0.910781
\(423\) −1.62263e11 2.81049e11i −0.246427 0.426825i
\(424\) −1.12426e12 + 1.94728e12i −1.68936 + 2.92605i
\(425\) 5.01015e11 8.67783e11i 0.744904 1.29021i
\(426\) 5.26849e11 0.775074
\(427\) −6.32441e11 + 1.09542e12i −0.920650 + 1.59461i
\(428\) −2.72646e10 −0.0392737
\(429\) −2.37733e11 −0.338868
\(430\) −1.50659e12 1.21498e12i −2.12513 1.71381i
\(431\) −1.18386e12 −1.65255 −0.826274 0.563268i \(-0.809544\pi\)
−0.826274 + 0.563268i \(0.809544\pi\)
\(432\) 1.10217e12 1.52255
\(433\) −3.58379e11 + 6.20731e11i −0.489945 + 0.848610i −0.999933 0.0115719i \(-0.996316\pi\)
0.509988 + 0.860181i \(0.329650\pi\)
\(434\) 4.23298e8 0.000572720
\(435\) 5.36959e10 9.30041e10i 0.0719018 0.124538i
\(436\) 7.19899e11 1.24690e12i 0.954074 1.65251i
\(437\) 1.20271e11 + 2.08315e11i 0.157758 + 0.273246i
\(438\) −2.76536e11 −0.359019
\(439\) 6.79757e11 + 1.17737e12i 0.873501 + 1.51295i 0.858351 + 0.513063i \(0.171489\pi\)
0.0151503 + 0.999885i \(0.495177\pi\)
\(440\) −1.68184e12 + 2.91303e12i −2.13918 + 3.70516i
\(441\) 8.95306e9 0.0112719
\(442\) 1.34842e12 2.33553e12i 1.68045 2.91062i
\(443\) 3.83358e11 + 6.63995e11i 0.472920 + 0.819121i 0.999520 0.0309919i \(-0.00986662\pi\)
−0.526600 + 0.850113i \(0.676533\pi\)
\(444\) 4.94860e11 + 8.57123e11i 0.604309 + 1.04669i
\(445\) −1.61756e11 2.80170e11i −0.195542 0.338689i
\(446\) 2.35108e12 2.81359
\(447\) −7.73125e10 1.33909e11i −0.0915937 0.158645i
\(448\) −9.20952e11 1.59514e12i −1.08015 1.87088i
\(449\) −2.60544e11 + 4.51276e11i −0.302533 + 0.524003i −0.976709 0.214568i \(-0.931166\pi\)
0.674176 + 0.738571i \(0.264499\pi\)
\(450\) −8.34059e11 + 1.44463e12i −0.958828 + 1.66074i
\(451\) 1.19771e12 1.36320
\(452\) 2.54009e12 2.86237
\(453\) 2.19022e11 3.79358e11i 0.244369 0.423260i
\(454\) −3.36657e9 + 5.83107e9i −0.00371909 + 0.00644165i
\(455\) 8.54343e11 + 1.47977e12i 0.934504 + 1.61861i
\(456\) 2.89109e11 + 5.00752e11i 0.313127 + 0.542351i
\(457\) −3.91544e11 −0.419911 −0.209956 0.977711i \(-0.567332\pi\)
−0.209956 + 0.977711i \(0.567332\pi\)
\(458\) 4.64192e11 + 8.04003e11i 0.492950 + 0.853814i
\(459\) 3.27378e11 + 5.67035e11i 0.344265 + 0.596284i
\(460\) −6.92502e11 1.19945e12i −0.721126 1.24903i
\(461\) 7.54930e11 1.30758e12i 0.778490 1.34838i −0.154323 0.988021i \(-0.549320\pi\)
0.932812 0.360363i \(-0.117347\pi\)
\(462\) −4.78850e11 −0.489002
\(463\) 4.27707e10 7.40810e10i 0.0432546 0.0749191i −0.843588 0.536992i \(-0.819561\pi\)
0.886842 + 0.462072i \(0.152894\pi\)
\(464\) −5.76585e11 9.98675e11i −0.577474 1.00021i
\(465\) 1.15827e8 0.000114887
\(466\) 7.24104e11 + 1.25418e12i 0.711318 + 1.23204i
\(467\) −3.16014e11 + 5.47353e11i −0.307454 + 0.532527i −0.977805 0.209518i \(-0.932810\pi\)
0.670350 + 0.742045i \(0.266144\pi\)
\(468\) −1.61554e12 + 2.79820e12i −1.55673 + 2.69633i
\(469\) 1.60499e12 1.53177
\(470\) −7.63542e11 + 1.32249e12i −0.721759 + 1.25012i
\(471\) −7.14687e10 −0.0669147
\(472\) −3.77266e11 −0.349871
\(473\) −1.68086e11 + 1.07530e12i −0.154403 + 0.987763i
\(474\) 6.87730e11 0.625771
\(475\) −9.81123e11 −0.884305
\(476\) 1.95471e12 3.38566e12i 1.74522 3.02282i
\(477\) 1.20272e12 1.06373
\(478\) 1.68599e12 2.92022e12i 1.47717 2.55853i
\(479\) −5.26382e10 + 9.11721e10i −0.0456869 + 0.0791320i −0.887965 0.459912i \(-0.847881\pi\)
0.842278 + 0.539044i \(0.181214\pi\)
\(480\) −6.02674e11 1.04386e12i −0.518199 0.897547i
\(481\) −2.75941e12 −2.35051
\(482\) −1.94419e12 3.36744e12i −1.64069 2.84176i
\(483\) 6.01872e10 1.04247e11i 0.0503202 0.0871571i
\(484\) −1.50228e9 −0.00124436
\(485\) 6.17484e11 1.06951e12i 0.506743 0.877705i
\(486\) −8.27073e11 1.43253e12i −0.672482 1.16477i
\(487\) 6.86051e11 + 1.18827e12i 0.552683 + 0.957275i 0.998080 + 0.0619414i \(0.0197292\pi\)
−0.445397 + 0.895333i \(0.646937\pi\)
\(488\) 3.43570e12 + 5.95081e12i 2.74237 + 4.74992i
\(489\) 6.07388e10 0.0480370
\(490\) −2.10646e10 3.64850e10i −0.0165071 0.0285912i
\(491\) −2.30826e11 3.99802e11i −0.179233 0.310441i 0.762385 0.647124i \(-0.224028\pi\)
−0.941618 + 0.336683i \(0.890695\pi\)
\(492\) −5.92738e11 + 1.02665e12i −0.456058 + 0.789915i
\(493\) 3.42527e11 5.93275e11i 0.261146 0.452319i
\(494\) −2.64057e12 −1.99493
\(495\) 1.79921e12 1.34697
\(496\) 6.21873e8 1.07712e9i 0.000461354 0.000799088i
\(497\) −1.06467e12 + 1.84407e12i −0.782732 + 1.35573i
\(498\) 1.74422e11 + 3.02107e11i 0.127078 + 0.220105i
\(499\) −4.47849e11 7.75697e11i −0.323355 0.560067i 0.657823 0.753172i \(-0.271477\pi\)
−0.981178 + 0.193105i \(0.938144\pi\)
\(500\) 4.62757e11 0.331122
\(501\) 1.59055e11 + 2.75491e11i 0.112792 + 0.195361i
\(502\) 1.28161e12 + 2.21981e12i 0.900719 + 1.56009i
\(503\) −2.53947e11 4.39849e11i −0.176883 0.306371i 0.763928 0.645301i \(-0.223268\pi\)
−0.940811 + 0.338930i \(0.889935\pi\)
\(504\) −1.98667e12 + 3.44102e12i −1.37148 + 2.37547i
\(505\) −2.95286e12 −2.02037
\(506\) −5.41081e11 + 9.37179e11i −0.366931 + 0.635544i
\(507\) 1.34209e11 + 2.32457e11i 0.0902083 + 0.156245i
\(508\) 1.45229e12 0.967536
\(509\) −5.87022e11 1.01675e12i −0.387636 0.671406i 0.604495 0.796609i \(-0.293375\pi\)
−0.992131 + 0.125203i \(0.960042\pi\)
\(510\) 7.43189e11 1.28724e12i 0.486445 0.842547i
\(511\) 5.58833e11 9.67926e11i 0.362566 0.627984i
\(512\) 9.81072e11 0.630937
\(513\) 3.20548e11 5.55205e11i 0.204345 0.353936i
\(514\) 5.35717e12 3.38533
\(515\) 2.83927e12 1.77858
\(516\) −8.38535e11 6.76234e11i −0.520712 0.419926i
\(517\) 8.58717e11 0.528619
\(518\) −5.55810e12 −3.39190
\(519\) −4.03228e10 + 6.98411e10i −0.0243948 + 0.0422530i
\(520\) 9.28234e12 5.56727
\(521\) 2.31985e11 4.01810e11i 0.137940 0.238919i −0.788777 0.614680i \(-0.789285\pi\)
0.926717 + 0.375761i \(0.122619\pi\)
\(522\) −5.70219e11 + 9.87648e11i −0.336143 + 0.582217i
\(523\) 8.61607e11 + 1.49235e12i 0.503560 + 0.872192i 0.999992 + 0.00411619i \(0.00131023\pi\)
−0.496431 + 0.868076i \(0.665356\pi\)
\(524\) −4.67753e12 −2.71036
\(525\) 2.45493e11 + 4.25206e11i 0.141033 + 0.244277i
\(526\) −1.49413e12 + 2.58791e12i −0.851044 + 1.47405i
\(527\) 7.38862e8 0.000417268
\(528\) −7.03485e11 + 1.21847e12i −0.393915 + 0.682280i
\(529\) 7.64558e11 + 1.32425e12i 0.424483 + 0.735226i
\(530\) −2.82975e12 4.90127e12i −1.55778 2.69816i
\(531\) 1.00899e11 + 1.74762e11i 0.0550757 + 0.0953939i
\(532\) −3.82786e12 −2.07183
\(533\) −1.65259e12 2.86238e12i −0.886939 1.53622i
\(534\) −1.25096e11 2.16672e11i −0.0665742 0.115310i
\(535\) 2.09482e10 3.62833e10i 0.0110549 0.0191476i
\(536\) 4.35950e12 7.55087e12i 2.28136 3.95144i
\(537\) −7.57435e11 −0.393062
\(538\) −6.07523e12 −3.12639
\(539\) −1.18452e10 + 2.05164e10i −0.00604493 + 0.0104701i
\(540\) −1.84567e12 + 3.19680e12i −0.934077 + 1.61787i
\(541\) 1.02243e11 + 1.77091e11i 0.0513154 + 0.0888809i 0.890542 0.454901i \(-0.150325\pi\)
−0.839227 + 0.543782i \(0.816992\pi\)
\(542\) 1.56602e11 + 2.71242e11i 0.0779471 + 0.135008i
\(543\) 4.98570e11 0.246109
\(544\) −3.84447e12 6.65881e12i −1.88209 3.25988i
\(545\) 1.10624e12 + 1.91606e12i 0.537111 + 0.930304i
\(546\) 6.60714e11 + 1.14439e12i 0.318161 + 0.551070i
\(547\) 1.04714e12 1.81370e12i 0.500107 0.866210i −0.499893 0.866087i \(-0.666627\pi\)
1.00000 0.000123221i \(-3.92225e-5\pi\)
\(548\) 1.43118e12 0.677923
\(549\) 1.83774e12 3.18305e12i 0.863391 1.49544i
\(550\) −2.20697e12 3.82258e12i −1.02840 1.78125i
\(551\) −6.70761e11 −0.310017
\(552\) −3.26964e11 5.66317e11i −0.149890 0.259618i
\(553\) −1.38979e12 + 2.40718e12i −0.631954 + 1.09458i
\(554\) −5.82529e11 + 1.00897e12i −0.262739 + 0.455077i
\(555\) −1.52086e12 −0.680411
\(556\) −1.35962e12 + 2.35493e12i −0.603367 + 1.04506i
\(557\) 5.29595e11 0.233129 0.116564 0.993183i \(-0.462812\pi\)
0.116564 + 0.993183i \(0.462812\pi\)
\(558\) −1.23001e9 −0.000537101
\(559\) 2.80174e12 1.08198e12i 1.21360 0.468669i
\(560\) 1.01125e13 4.34522
\(561\) −8.35827e11 −0.356273
\(562\) −2.95712e12 + 5.12189e12i −1.25042 + 2.16579i
\(563\) 8.77660e11 0.368162 0.184081 0.982911i \(-0.441069\pi\)
0.184081 + 0.982911i \(0.441069\pi\)
\(564\) −4.24972e11 + 7.36073e11i −0.176850 + 0.306313i
\(565\) −1.95162e12 + 3.38031e12i −0.805708 + 1.39553i
\(566\) −6.42167e11 1.11227e12i −0.263011 0.455549i
\(567\) 1.95927e12 0.796106
\(568\) 5.78378e12 + 1.00178e13i 2.33155 + 4.03836i
\(569\) −4.98189e11 + 8.62888e11i −0.199246 + 0.345104i −0.948284 0.317423i \(-0.897182\pi\)
0.749038 + 0.662527i \(0.230516\pi\)
\(570\) −1.45537e12 −0.577478
\(571\) −1.87605e12 + 3.24942e12i −0.738555 + 1.27921i 0.214591 + 0.976704i \(0.431158\pi\)
−0.953146 + 0.302511i \(0.902175\pi\)
\(572\) −4.27482e12 7.40420e12i −1.66969 2.89199i
\(573\) −1.00457e11 1.73996e11i −0.0389298 0.0674284i
\(574\) −3.32872e12 5.76551e12i −1.27989 2.21684i
\(575\) 1.10959e12 0.423307
\(576\) 2.67609e12 + 4.63512e12i 1.01298 + 1.75452i
\(577\) −4.64758e11 8.04985e11i −0.174556 0.302341i 0.765451 0.643494i \(-0.222516\pi\)
−0.940008 + 0.341153i \(0.889182\pi\)
\(578\) 2.20669e12 3.82211e12i 0.822369 1.42439i
\(579\) 1.43486e11 2.48525e11i 0.0530586 0.0919002i
\(580\) 3.86216e12 1.41711
\(581\) −1.40991e12 −0.513333
\(582\) 4.77537e11 8.27118e11i 0.172526 0.298823i
\(583\) −1.59124e12 + 2.75611e12i −0.570462 + 0.988069i
\(584\) −3.03583e12 5.25820e12i −1.07999 1.87059i
\(585\) −2.48254e12 4.29988e12i −0.876383 1.51794i
\(586\) 2.81870e12 0.987439
\(587\) −1.14090e12 1.97609e12i −0.396621 0.686967i 0.596686 0.802475i \(-0.296484\pi\)
−0.993307 + 0.115508i \(0.963151\pi\)
\(588\) −1.17241e10 2.03068e10i −0.00404467 0.00700558i
\(589\) −3.61723e8 6.26523e8i −0.000123839 0.000214495i
\(590\) 4.74785e11 8.22352e11i 0.161311 0.279398i
\(591\) −4.00731e11 −0.135117
\(592\) −8.16548e12 + 1.41430e13i −2.73234 + 4.73255i
\(593\) 7.04436e11 + 1.22012e12i 0.233935 + 0.405188i 0.958963 0.283532i \(-0.0915063\pi\)
−0.725027 + 0.688720i \(0.758173\pi\)
\(594\) 2.88420e12 0.950575
\(595\) 3.00372e12 + 5.20260e12i 0.982502 + 1.70174i
\(596\) 2.78041e12 4.81581e12i 0.902610 1.56337i
\(597\) 1.67896e11 2.90805e11i 0.0540950 0.0936952i
\(598\) 2.98632e12 0.954949
\(599\) 1.32142e12 2.28877e12i 0.419393 0.726410i −0.576486 0.817107i \(-0.695576\pi\)
0.995878 + 0.0906976i \(0.0289097\pi\)
\(600\) 2.66725e12 0.840200
\(601\) 4.89919e12 1.53176 0.765878 0.642986i \(-0.222305\pi\)
0.765878 + 0.642986i \(0.222305\pi\)
\(602\) 5.64337e12 2.17937e12i 1.75127 0.676311i
\(603\) −4.66374e12 −1.43650
\(604\) 1.57535e13 4.81627
\(605\) 1.15424e9 1.99921e9i 0.000350266 0.000606679i
\(606\) −2.28362e12 −0.687855
\(607\) −7.79493e11 + 1.35012e12i −0.233058 + 0.403668i −0.958706 0.284398i \(-0.908206\pi\)
0.725649 + 0.688065i \(0.241540\pi\)
\(608\) −3.76425e12 + 6.51988e12i −1.11715 + 1.93497i
\(609\) 1.67835e11 + 2.90699e11i 0.0494430 + 0.0856378i
\(610\) −1.72952e13 −5.05756
\(611\) −1.18485e12 2.05222e12i −0.343937 0.595716i
\(612\) −5.67997e12 + 9.83799e12i −1.63668 + 2.83482i
\(613\) 6.79438e11 0.194347 0.0971735 0.995267i \(-0.469020\pi\)
0.0971735 + 0.995267i \(0.469020\pi\)
\(614\) −1.14956e12 + 1.99109e12i −0.326417 + 0.565371i
\(615\) −9.10836e11 1.57761e12i −0.256745 0.444695i
\(616\) −5.25685e12 9.10513e12i −1.47100 2.54784i
\(617\) −8.78023e10 1.52078e11i −0.0243906 0.0422458i 0.853572 0.520974i \(-0.174431\pi\)
−0.877963 + 0.478728i \(0.841098\pi\)
\(618\) 2.19577e12 0.605535
\(619\) −1.77194e12 3.06909e12i −0.485110 0.840236i 0.514743 0.857344i \(-0.327887\pi\)
−0.999854 + 0.0171085i \(0.994554\pi\)
\(620\) 2.08276e9 + 3.60744e9i 0.000566077 + 0.000980474i
\(621\) −3.62518e11 + 6.27900e11i −0.0978178 + 0.169425i
\(622\) 1.76108e12 3.05028e12i 0.471761 0.817114i
\(623\) 1.01119e12 0.268928
\(624\) 3.88265e12 1.02517
\(625\) 1.72198e12 2.98256e12i 0.451407 0.781860i
\(626\) 4.70735e12 8.15338e12i 1.22516 2.12204i
\(627\) 4.09194e11 + 7.08745e11i 0.105737 + 0.183141i
\(628\) −1.28512e12 2.22590e12i −0.329706 0.571067i
\(629\) −9.70160e12 −2.47124
\(630\) −5.00042e12 8.66098e12i −1.26466 2.19046i
\(631\) 1.51502e12 + 2.62410e12i 0.380441 + 0.658944i 0.991125 0.132931i \(-0.0424388\pi\)
−0.610684 + 0.791874i \(0.709105\pi\)
\(632\) 7.54995e12 + 1.30769e13i 1.88242 + 3.26045i
\(633\) 2.53743e11 4.39496e11i 0.0628171 0.108802i
\(634\) −5.32393e12 −1.30867
\(635\) −1.11584e12 + 1.93269e12i −0.272345 + 0.471715i
\(636\) −1.57498e12 2.72795e12i −0.381697 0.661118i
\(637\) 6.53754e10 0.0157321
\(638\) −1.50883e12 2.61337e12i −0.360535 0.624466i
\(639\) 3.09371e12 5.35847e12i 0.734051 1.27141i
\(640\) 4.15079e12 7.18939e12i 0.977960 1.69388i
\(641\) 1.50541e12 0.352205 0.176102 0.984372i \(-0.443651\pi\)
0.176102 + 0.984372i \(0.443651\pi\)
\(642\) 1.62005e10 2.80600e10i 0.00376374 0.00651899i
\(643\) −9.38484e11 −0.216510 −0.108255 0.994123i \(-0.534526\pi\)
−0.108255 + 0.994123i \(0.534526\pi\)
\(644\) 4.32905e12 0.991760
\(645\) 1.54419e12 5.96339e11i 0.351304 0.135667i
\(646\) −9.28380e12 −2.09739
\(647\) 8.71921e11 0.195618 0.0978088 0.995205i \(-0.468817\pi\)
0.0978088 + 0.995205i \(0.468817\pi\)
\(648\) 5.32181e12 9.21765e12i 1.18569 2.05368i
\(649\) −5.33967e11 −0.118144
\(650\) −6.09032e12 + 1.05487e13i −1.33823 + 2.31788i
\(651\) −1.81018e8 + 3.13532e8i −3.95009e−5 + 6.84175e-5i
\(652\) 1.09218e12 + 1.89171e12i 0.236690 + 0.409960i
\(653\) −3.24482e12 −0.698364 −0.349182 0.937055i \(-0.613540\pi\)
−0.349182 + 0.937055i \(0.613540\pi\)
\(654\) 8.55519e11 + 1.48180e12i 0.182865 + 0.316731i
\(655\) 3.59389e12 6.22479e12i 0.762919 1.32141i
\(656\) −1.95611e13 −4.12406
\(657\) −1.62385e12 + 2.81258e12i −0.340017 + 0.588927i
\(658\) −2.38657e12 4.13366e12i −0.496316 0.859644i
\(659\) 3.19868e12 + 5.54028e12i 0.660673 + 1.14432i 0.980439 + 0.196823i \(0.0630624\pi\)
−0.319766 + 0.947497i \(0.603604\pi\)
\(660\) −2.35609e12 4.08086e12i −0.483330 0.837152i
\(661\) 1.44041e12 0.293481 0.146741 0.989175i \(-0.453122\pi\)
0.146741 + 0.989175i \(0.453122\pi\)
\(662\) 7.45450e12 + 1.29116e13i 1.50854 + 2.61287i
\(663\) 1.15327e12 + 1.99752e12i 0.231803 + 0.401495i
\(664\) −3.82963e12 + 6.63311e12i −0.764540 + 1.32422i
\(665\) 2.94105e12 5.09405e12i 0.583184 1.01010i
\(666\) 1.61506e13 3.18094
\(667\) 7.58587e11 0.148402
\(668\) −5.72013e12 + 9.90755e12i −1.11151 + 1.92518i
\(669\) −1.00541e12 + 1.74141e12i −0.194055 + 0.336112i
\(670\) 1.09728e13 + 1.90054e13i 2.10368 + 3.64368i
\(671\) 4.86276e12 + 8.42254e12i 0.926043 + 1.60395i
\(672\) 3.76751e12 0.712676
\(673\) −1.20190e12 2.08176e12i −0.225840 0.391167i 0.730731 0.682666i \(-0.239179\pi\)
−0.956571 + 0.291499i \(0.905846\pi\)
\(674\) −3.16749e12 5.48625e12i −0.591215 1.02402i
\(675\) −1.47865e12 2.56109e12i −0.274156 0.474851i
\(676\) −4.82660e12 + 8.35991e12i −0.888957 + 1.53972i
\(677\) −5.21842e12 −0.954750 −0.477375 0.878700i \(-0.658412\pi\)
−0.477375 + 0.878700i \(0.658412\pi\)
\(678\) −1.50930e12 + 2.61419e12i −0.274311 + 0.475120i
\(679\) 1.93005e12 + 3.34294e12i 0.348461 + 0.603551i
\(680\) 3.26351e13 5.85322
\(681\) −2.87934e9 4.98716e9i −0.000513015 0.000888569i
\(682\) 1.62734e9 2.81864e9i 0.000288038 0.000498896i
\(683\) 1.67199e12 2.89598e12i 0.293996 0.509216i −0.680755 0.732511i \(-0.738348\pi\)
0.974751 + 0.223295i \(0.0716815\pi\)
\(684\) 1.11229e13 1.94297
\(685\) −1.09961e12 + 1.90459e12i −0.190824 + 0.330517i
\(686\) 1.10209e13 1.90003
\(687\) −7.94021e11 −0.135996
\(688\) 2.74518e12 1.75617e13i 0.467113 2.98827i
\(689\) 8.78231e12 1.48464
\(690\) 1.64592e12 0.276432
\(691\) −4.60263e12 + 7.97199e12i −0.767989 + 1.33020i 0.170663 + 0.985329i \(0.445409\pi\)
−0.938652 + 0.344866i \(0.887924\pi\)
\(692\) −2.90028e12 −0.480797
\(693\) −2.81186e12 + 4.87028e12i −0.463120 + 0.802148i
\(694\) 4.25484e12 7.36961e12i 0.696251 1.20594i
\(695\) −2.08927e12 3.61873e12i −0.339675 0.588335i
\(696\) 1.82351e12 0.294555
\(697\) −5.81024e12 1.00636e13i −0.932495 1.61513i
\(698\) 5.70475e12 9.88092e12i 0.909677 1.57561i
\(699\) −1.23861e12 −0.196240
\(700\) −8.82871e12 + 1.52918e13i −1.38981 + 2.40722i
\(701\) 1.68773e12 + 2.92323e12i 0.263980 + 0.457226i 0.967296 0.253651i \(-0.0816314\pi\)
−0.703316 + 0.710877i \(0.748298\pi\)
\(702\) −3.97960e12 6.89286e12i −0.618475 1.07123i
\(703\) 4.74959e12 + 8.22653e12i 0.733428 + 1.27033i
\(704\) −1.41622e13 −2.17296
\(705\) −6.53037e11 1.13109e12i −0.0995604 0.172444i
\(706\) −1.72571e12 2.98902e12i −0.261425 0.452801i
\(707\) 4.61482e12 7.99310e12i 0.694652 1.20317i
\(708\) 2.64256e11 4.57705e11i 0.0395253 0.0684598i
\(709\) −1.16906e13 −1.73751 −0.868756 0.495241i \(-0.835080\pi\)
−0.868756 + 0.495241i \(0.835080\pi\)
\(710\) −2.91154e13 −4.29991
\(711\) 4.03842e12 6.99476e12i 0.592651 1.02650i
\(712\) 2.74661e12 4.75728e12i 0.400532 0.693743i
\(713\) 4.09085e8 + 7.08556e8i 5.92803e−5 + 0.000102677i
\(714\) 2.32295e12 + 4.02348e12i 0.334502 + 0.579375i
\(715\) 1.31379e13 1.87996
\(716\) −1.36199e13 2.35904e13i −1.93672 3.35449i
\(717\) 1.44198e12 + 2.49758e12i 0.203762 + 0.352926i
\(718\) 1.20057e13 + 2.07946e13i 1.68589 + 2.92005i
\(719\) 2.94582e12 5.10230e12i 0.411079 0.712010i −0.583929 0.811805i \(-0.698485\pi\)
0.995008 + 0.0997946i \(0.0318186\pi\)
\(720\) −2.93847e13 −4.07498
\(721\) −4.43729e12 + 7.68561e12i −0.611518 + 1.05918i
\(722\) −2.35051e12 4.07120e12i −0.321917 0.557577i
\(723\) 3.32563e12 0.452638
\(724\) 8.96509e12 + 1.55280e13i 1.21264 + 2.10035i
\(725\) −1.54707e12 + 2.67960e12i −0.207964 + 0.360205i
\(726\) 8.92645e8 1.54611e9i 0.000119252 0.000206550i
\(727\) −1.17250e13 −1.55671 −0.778356 0.627823i \(-0.783946\pi\)
−0.778356 + 0.627823i \(0.783946\pi\)
\(728\) −1.45067e13 + 2.51264e13i −1.91416 + 3.31542i
\(729\) −4.69308e12 −0.615437
\(730\) 1.52822e13 1.99175
\(731\) 9.85043e12 3.80406e12i 1.27593 0.492741i
\(732\) −9.62615e12 −1.23923
\(733\) 9.68777e12 1.23953 0.619764 0.784788i \(-0.287228\pi\)
0.619764 + 0.784788i \(0.287228\pi\)
\(734\) 1.06287e13 1.84094e13i 1.35160 2.34103i
\(735\) 3.60320e10 0.00455402
\(736\) 4.25712e12 7.37356e12i 0.534769 0.926247i
\(737\) 6.17026e12 1.06872e13i 0.770371 1.33432i
\(738\) 9.67253e12 + 1.67533e13i 1.20029 + 2.07897i
\(739\) −8.12812e12 −1.00251 −0.501257 0.865299i \(-0.667129\pi\)
−0.501257 + 0.865299i \(0.667129\pi\)
\(740\) −2.73475e13 4.73673e13i −3.35255 5.80679i
\(741\) 1.12921e12 1.95584e12i 0.137591 0.238315i
\(742\) 1.76897e13 2.14241
\(743\) −3.20163e12 + 5.54539e12i −0.385409 + 0.667548i −0.991826 0.127599i \(-0.959273\pi\)
0.606417 + 0.795147i \(0.292606\pi\)
\(744\) 9.83368e8 + 1.70324e9i 0.000117662 + 0.000203797i
\(745\) 4.27253e12 + 7.40024e12i 0.508139 + 0.880122i
\(746\) 8.25430e12 + 1.42969e13i 0.975788 + 1.69011i
\(747\) 4.09689e12 0.481407
\(748\) −1.50295e13 2.60319e13i −1.75545 3.04053i
\(749\) 6.54769e10 + 1.13409e11i 0.00760186 + 0.0131668i
\(750\) −2.74967e11 + 4.76257e11i −0.0317326 + 0.0549624i
\(751\) −5.60428e12 + 9.70690e12i −0.642895 + 1.11353i 0.341888 + 0.939741i \(0.388934\pi\)
−0.984783 + 0.173787i \(0.944400\pi\)
\(752\) −1.40246e13 −1.59922
\(753\) −2.19225e12 −0.248492
\(754\) −4.16375e12 + 7.21183e12i −0.469152 + 0.812595i
\(755\) −1.21039e13 + 2.09645e13i −1.35570 + 2.34814i
\(756\) −5.76894e12 9.99210e12i −0.642315 1.11252i
\(757\) −4.61797e12 7.99856e12i −0.511116 0.885279i −0.999917 0.0128836i \(-0.995899\pi\)
0.488801 0.872395i \(-0.337434\pi\)
\(758\) 1.11773e13 1.22977
\(759\) −4.62772e11 8.01544e11i −0.0506149 0.0876676i
\(760\) −1.59771e13 2.76731e13i −1.73715 3.00883i
\(761\) 1.89273e12 + 3.27831e12i 0.204577 + 0.354339i 0.949998 0.312256i \(-0.101085\pi\)
−0.745421 + 0.666594i \(0.767751\pi\)
\(762\) −8.62943e11 + 1.49466e12i −0.0927224 + 0.160600i
\(763\) −6.91545e12 −0.738686