Properties

Label 43.10.c.a.6.14
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 6.14
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.14

$q$-expansion

\(f(q)\) \(=\) \(q-10.8555 q^{2} +(83.9447 - 145.396i) q^{3} -394.158 q^{4} +(1237.61 - 2143.60i) q^{5} +(-911.262 + 1578.35i) q^{6} +(6087.74 + 10544.3i) q^{7} +9836.80 q^{8} +(-4251.92 - 7364.54i) q^{9} +O(q^{10})\) \(q-10.8555 q^{2} +(83.9447 - 145.396i) q^{3} -394.158 q^{4} +(1237.61 - 2143.60i) q^{5} +(-911.262 + 1578.35i) q^{6} +(6087.74 + 10544.3i) q^{7} +9836.80 q^{8} +(-4251.92 - 7364.54i) q^{9} +(-13434.9 + 23269.9i) q^{10} +82455.1 q^{11} +(-33087.5 + 57309.2i) q^{12} +(36873.5 + 63866.7i) q^{13} +(-66085.5 - 114463. i) q^{14} +(-207781. - 359888. i) q^{15} +95025.4 q^{16} +(63396.2 + 109805. i) q^{17} +(46156.7 + 79945.8i) q^{18} +(71379.7 - 123633. i) q^{19} +(-487813. + 844918. i) q^{20} +2.04413e6 q^{21} -895092. q^{22} +(-651521. + 1.12847e6i) q^{23} +(825747. - 1.43024e6i) q^{24} +(-2.08679e6 - 3.61442e6i) q^{25} +(-400280. - 693306. i) q^{26} +1.87686e6 q^{27} +(-2.39953e6 - 4.15611e6i) q^{28} +(1.36934e6 + 2.37177e6i) q^{29} +(2.25557e6 + 3.90676e6i) q^{30} +(466941. - 808765. i) q^{31} -6.06799e6 q^{32} +(6.92167e6 - 1.19887e7i) q^{33} +(-688198. - 1.19199e6i) q^{34} +3.01370e7 q^{35} +(1.67593e6 + 2.90279e6i) q^{36} +(6.26589e6 - 1.08528e7i) q^{37} +(-774863. + 1.34210e6i) q^{38} +1.23813e7 q^{39} +(1.21741e7 - 2.10862e7i) q^{40} +1.63158e7 q^{41} -2.21901e7 q^{42} +(-2.19968e7 - 4.32811e6i) q^{43} -3.25003e7 q^{44} -2.10488e7 q^{45} +(7.07259e6 - 1.22501e7i) q^{46} -3.10948e7 q^{47} +(7.97688e6 - 1.38164e7i) q^{48} +(-5.39444e7 + 9.34345e7i) q^{49} +(2.26531e7 + 3.92364e7i) q^{50} +2.12871e7 q^{51} +(-1.45340e7 - 2.51736e7i) q^{52} +(-1.75753e7 + 3.04413e7i) q^{53} -2.03743e7 q^{54} +(1.02047e8 - 1.76751e8i) q^{55} +(5.98839e7 + 1.03722e8i) q^{56} +(-1.19839e7 - 2.07567e7i) q^{57} +(-1.48649e7 - 2.57467e7i) q^{58} -1.63350e8 q^{59} +(8.18987e7 + 1.41853e8i) q^{60} +(4.11400e7 + 7.12565e7i) q^{61} +(-5.06888e6 + 8.77955e6i) q^{62} +(5.17692e7 - 8.96668e7i) q^{63} +1.72181e7 q^{64} +1.82540e8 q^{65} +(-7.51382e7 + 1.30143e8i) q^{66} +(-1.38876e7 + 2.40541e7i) q^{67} +(-2.49881e7 - 4.32807e7i) q^{68} +(1.09383e8 + 1.89458e8i) q^{69} -3.27152e8 q^{70} +(-9.68610e7 - 1.67768e8i) q^{71} +(-4.18253e7 - 7.24435e7i) q^{72} +(-3.25026e7 - 5.62962e7i) q^{73} +(-6.80194e7 + 1.17813e8i) q^{74} -7.00699e8 q^{75} +(-2.81349e7 + 4.87310e7i) q^{76} +(5.01966e8 + 8.69430e8i) q^{77} -1.34406e8 q^{78} +(-1.11261e8 - 1.92710e8i) q^{79} +(1.17604e8 - 2.03697e8i) q^{80} +(2.41243e8 - 4.17845e8i) q^{81} -1.77116e8 q^{82} +(2.14553e8 - 3.71616e8i) q^{83} -8.05712e8 q^{84} +3.13839e8 q^{85} +(2.38787e8 + 4.69838e7i) q^{86} +4.59795e8 q^{87} +8.11095e8 q^{88} +(1.75590e8 - 3.04131e8i) q^{89} +2.28496e8 q^{90} +(-4.48953e8 + 7.77609e8i) q^{91} +(2.56802e8 - 4.44795e8i) q^{92} +(-7.83944e7 - 1.35783e8i) q^{93} +3.37550e8 q^{94} +(-1.76680e8 - 3.06019e8i) q^{95} +(-5.09376e8 + 8.82265e8i) q^{96} -1.57085e9 q^{97} +(5.85594e8 - 1.01428e9i) q^{98} +(-3.50592e8 - 6.07244e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −10.8555 −0.479750 −0.239875 0.970804i \(-0.577106\pi\)
−0.239875 + 0.970804i \(0.577106\pi\)
\(3\) 83.9447 145.396i 0.598339 1.03635i −0.394727 0.918798i \(-0.629161\pi\)
0.993066 0.117556i \(-0.0375058\pi\)
\(4\) −394.158 −0.769840
\(5\) 1237.61 2143.60i 0.885561 1.53384i 0.0404912 0.999180i \(-0.487108\pi\)
0.845070 0.534656i \(-0.179559\pi\)
\(6\) −911.262 + 1578.35i −0.287053 + 0.497191i
\(7\) 6087.74 + 10544.3i 0.958330 + 1.65988i 0.726557 + 0.687106i \(0.241119\pi\)
0.231773 + 0.972770i \(0.425547\pi\)
\(8\) 9836.80 0.849081
\(9\) −4251.92 7364.54i −0.216020 0.374157i
\(10\) −13434.9 + 23269.9i −0.424848 + 0.735858i
\(11\) 82455.1 1.69805 0.849025 0.528352i \(-0.177190\pi\)
0.849025 + 0.528352i \(0.177190\pi\)
\(12\) −33087.5 + 57309.2i −0.460625 + 0.797827i
\(13\) 36873.5 + 63866.7i 0.358071 + 0.620197i 0.987639 0.156749i \(-0.0501013\pi\)
−0.629568 + 0.776946i \(0.716768\pi\)
\(14\) −66085.5 114463.i −0.459759 0.796326i
\(15\) −207781. 359888.i −1.05973 1.83551i
\(16\) 95025.4 0.362493
\(17\) 63396.2 + 109805.i 0.184096 + 0.318863i 0.943271 0.332023i \(-0.107731\pi\)
−0.759176 + 0.650886i \(0.774398\pi\)
\(18\) 46156.7 + 79945.8i 0.103636 + 0.179502i
\(19\) 71379.7 123633.i 0.125656 0.217643i −0.796333 0.604858i \(-0.793230\pi\)
0.921989 + 0.387216i \(0.126563\pi\)
\(20\) −487813. + 844918.i −0.681740 + 1.18081i
\(21\) 2.04413e6 2.29363
\(22\) −895092. −0.814640
\(23\) −651521. + 1.12847e6i −0.485460 + 0.840841i −0.999860 0.0167091i \(-0.994681\pi\)
0.514401 + 0.857550i \(0.328014\pi\)
\(24\) 825747. 1.43024e6i 0.508038 0.879948i
\(25\) −2.08679e6 3.61442e6i −1.06844 1.85059i
\(26\) −400280. 693306.i −0.171785 0.297540i
\(27\) 1.87686e6 0.679666
\(28\) −2.39953e6 4.15611e6i −0.737761 1.27784i
\(29\) 1.36934e6 + 2.37177e6i 0.359518 + 0.622703i 0.987880 0.155218i \(-0.0496079\pi\)
−0.628363 + 0.777921i \(0.716275\pi\)
\(30\) 2.25557e6 + 3.90676e6i 0.508406 + 0.880586i
\(31\) 466941. 808765.i 0.0908101 0.157288i −0.817042 0.576578i \(-0.804388\pi\)
0.907852 + 0.419290i \(0.137721\pi\)
\(32\) −6.06799e6 −1.02299
\(33\) 6.92167e6 1.19887e7i 1.01601 1.75978i
\(34\) −688198. 1.19199e6i −0.0883198 0.152974i
\(35\) 3.01370e7 3.39464
\(36\) 1.67593e6 + 2.90279e6i 0.166301 + 0.288041i
\(37\) 6.26589e6 1.08528e7i 0.549635 0.951997i −0.448664 0.893701i \(-0.648100\pi\)
0.998299 0.0582960i \(-0.0185667\pi\)
\(38\) −774863. + 1.34210e6i −0.0602835 + 0.104414i
\(39\) 1.23813e7 0.856992
\(40\) 1.21741e7 2.10862e7i 0.751913 1.30235i
\(41\) 1.63158e7 0.901738 0.450869 0.892590i \(-0.351114\pi\)
0.450869 + 0.892590i \(0.351114\pi\)
\(42\) −2.21901e7 −1.10037
\(43\) −2.19968e7 4.32811e6i −0.981187 0.193059i
\(44\) −3.25003e7 −1.30723
\(45\) −2.10488e7 −0.765195
\(46\) 7.07259e6 1.22501e7i 0.232899 0.403393i
\(47\) −3.10948e7 −0.929496 −0.464748 0.885443i \(-0.653855\pi\)
−0.464748 + 0.885443i \(0.653855\pi\)
\(48\) 7.97688e6 1.38164e7i 0.216894 0.375671i
\(49\) −5.39444e7 + 9.34345e7i −1.33679 + 2.31539i
\(50\) 2.26531e7 + 3.92364e7i 0.512582 + 0.887818i
\(51\) 2.12871e7 0.440606
\(52\) −1.45340e7 2.51736e7i −0.275657 0.477452i
\(53\) −1.75753e7 + 3.04413e7i −0.305957 + 0.529934i −0.977474 0.211056i \(-0.932310\pi\)
0.671517 + 0.740989i \(0.265643\pi\)
\(54\) −2.03743e7 −0.326070
\(55\) 1.02047e8 1.76751e8i 1.50373 2.60453i
\(56\) 5.98839e7 + 1.03722e8i 0.813700 + 1.40937i
\(57\) −1.19839e7 2.07567e7i −0.150370 0.260448i
\(58\) −1.48649e7 2.57467e7i −0.172479 0.298742i
\(59\) −1.63350e8 −1.75503 −0.877516 0.479547i \(-0.840801\pi\)
−0.877516 + 0.479547i \(0.840801\pi\)
\(60\) 8.18987e7 + 1.41853e8i 0.815824 + 1.41305i
\(61\) 4.11400e7 + 7.12565e7i 0.380434 + 0.658931i 0.991124 0.132938i \(-0.0424412\pi\)
−0.610690 + 0.791870i \(0.709108\pi\)
\(62\) −5.06888e6 + 8.77955e6i −0.0435661 + 0.0754588i
\(63\) 5.17692e7 8.96668e7i 0.414037 0.717132i
\(64\) 1.72181e7 0.128285
\(65\) 1.82540e8 1.26837
\(66\) −7.51382e7 + 1.30143e8i −0.487431 + 0.844255i
\(67\) −1.38876e7 + 2.40541e7i −0.0841960 + 0.145832i −0.905048 0.425309i \(-0.860166\pi\)
0.820852 + 0.571141i \(0.193499\pi\)
\(68\) −2.49881e7 4.32807e7i −0.141724 0.245473i
\(69\) 1.09383e8 + 1.89458e8i 0.580939 + 1.00622i
\(70\) −3.27152e8 −1.62858
\(71\) −9.68610e7 1.67768e8i −0.452362 0.783515i 0.546170 0.837674i \(-0.316085\pi\)
−0.998532 + 0.0541598i \(0.982752\pi\)
\(72\) −4.18253e7 7.24435e7i −0.183418 0.317690i
\(73\) −3.25026e7 5.62962e7i −0.133957 0.232020i 0.791242 0.611504i \(-0.209435\pi\)
−0.925199 + 0.379483i \(0.876102\pi\)
\(74\) −6.80194e7 + 1.17813e8i −0.263688 + 0.456720i
\(75\) −7.00699e8 −2.55715
\(76\) −2.81349e7 + 4.87310e7i −0.0967350 + 0.167550i
\(77\) 5.01966e8 + 8.69430e8i 1.62729 + 2.81855i
\(78\) −1.34406e8 −0.411142
\(79\) −1.11261e8 1.92710e8i −0.321382 0.556650i 0.659392 0.751800i \(-0.270814\pi\)
−0.980773 + 0.195150i \(0.937481\pi\)
\(80\) 1.17604e8 2.03697e8i 0.321010 0.556005i
\(81\) 2.41243e8 4.17845e8i 0.622691 1.07853i
\(82\) −1.77116e8 −0.432609
\(83\) 2.14553e8 3.71616e8i 0.496230 0.859495i −0.503761 0.863843i \(-0.668051\pi\)
0.999991 + 0.00434830i \(0.00138411\pi\)
\(84\) −8.05712e8 −1.76572
\(85\) 3.13839e8 0.652111
\(86\) 2.38787e8 + 4.69838e7i 0.470725 + 0.0926200i
\(87\) 4.59795e8 0.860454
\(88\) 8.11095e8 1.44178
\(89\) 1.75590e8 3.04131e8i 0.296650 0.513813i −0.678717 0.734400i \(-0.737464\pi\)
0.975367 + 0.220587i \(0.0707972\pi\)
\(90\) 2.28496e8 0.367102
\(91\) −4.48953e8 + 7.77609e8i −0.686300 + 1.18871i
\(92\) 2.56802e8 4.44795e8i 0.373726 0.647313i
\(93\) −7.83944e7 1.35783e8i −0.108670 0.188223i
\(94\) 3.37550e8 0.445926
\(95\) −1.76680e8 3.06019e8i −0.222552 0.385472i
\(96\) −5.09376e8 + 8.82265e8i −0.612093 + 1.06018i
\(97\) −1.57085e9 −1.80161 −0.900807 0.434220i \(-0.857024\pi\)
−0.900807 + 0.434220i \(0.857024\pi\)
\(98\) 5.85594e8 1.01428e9i 0.641326 1.11081i
\(99\) −3.50592e8 6.07244e8i −0.366812 0.635338i
\(100\) 8.22525e8 + 1.42465e9i 0.822525 + 1.42465i
\(101\) 4.54245e8 + 7.86775e8i 0.434354 + 0.752323i 0.997243 0.0742098i \(-0.0236435\pi\)
−0.562889 + 0.826533i \(0.690310\pi\)
\(102\) −2.31082e8 −0.211381
\(103\) −2.96767e8 5.14016e8i −0.259806 0.449996i 0.706384 0.707829i \(-0.250325\pi\)
−0.966190 + 0.257832i \(0.916992\pi\)
\(104\) 3.62717e8 + 6.28245e8i 0.304031 + 0.526597i
\(105\) 2.52984e9 4.38181e9i 2.03115 3.51805i
\(106\) 1.90789e8 3.30455e8i 0.146783 0.254236i
\(107\) 6.97894e8 0.514710 0.257355 0.966317i \(-0.417149\pi\)
0.257355 + 0.966317i \(0.417149\pi\)
\(108\) −7.39780e8 −0.523234
\(109\) 1.75133e8 3.03338e8i 0.118836 0.205830i −0.800471 0.599372i \(-0.795417\pi\)
0.919307 + 0.393542i \(0.128750\pi\)
\(110\) −1.10777e9 + 1.91872e9i −0.721413 + 1.24952i
\(111\) −1.05198e9 1.82208e9i −0.657737 1.13923i
\(112\) 5.78490e8 + 1.00197e9i 0.347388 + 0.601694i
\(113\) −9.60388e8 −0.554107 −0.277054 0.960854i \(-0.589358\pi\)
−0.277054 + 0.960854i \(0.589358\pi\)
\(114\) 1.30091e8 + 2.25325e8i 0.0721400 + 0.124950i
\(115\) 1.61266e9 + 2.79320e9i 0.859808 + 1.48923i
\(116\) −5.39736e8 9.34850e8i −0.276771 0.479381i
\(117\) 3.13566e8 5.43112e8i 0.154701 0.267950i
\(118\) 1.77325e9 0.841977
\(119\) −7.71880e8 + 1.33693e9i −0.352848 + 0.611151i
\(120\) −2.04390e9 3.54015e9i −0.899798 1.55850i
\(121\) 4.44090e9 1.88337
\(122\) −4.46595e8 7.73525e8i −0.182513 0.316122i
\(123\) 1.36962e9 2.37226e9i 0.539546 0.934520i
\(124\) −1.84048e8 + 3.18781e8i −0.0699092 + 0.121086i
\(125\) −5.49610e9 −2.01354
\(126\) −5.61980e8 + 9.73379e8i −0.198634 + 0.344044i
\(127\) 5.14983e8 0.175661 0.0878307 0.996135i \(-0.472007\pi\)
0.0878307 + 0.996135i \(0.472007\pi\)
\(128\) 2.91990e9 0.961442
\(129\) −2.47581e9 + 2.83494e9i −0.787160 + 0.901343i
\(130\) −1.98156e9 −0.608503
\(131\) −4.25771e9 −1.26315 −0.631575 0.775315i \(-0.717591\pi\)
−0.631575 + 0.775315i \(0.717591\pi\)
\(132\) −2.72823e9 + 4.72543e9i −0.782165 + 1.35475i
\(133\) 1.73816e9 0.481680
\(134\) 1.50757e8 2.61119e8i 0.0403931 0.0699628i
\(135\) 2.32282e9 4.02325e9i 0.601886 1.04250i
\(136\) 6.23616e8 + 1.08013e9i 0.156312 + 0.270740i
\(137\) 3.74864e9 0.909141 0.454571 0.890711i \(-0.349793\pi\)
0.454571 + 0.890711i \(0.349793\pi\)
\(138\) −1.18741e9 2.05666e9i −0.278706 0.482732i
\(139\) 6.24115e8 1.08100e9i 0.141807 0.245617i −0.786370 0.617756i \(-0.788042\pi\)
0.928177 + 0.372139i \(0.121375\pi\)
\(140\) −1.18787e10 −2.61333
\(141\) −2.61024e9 + 4.52108e9i −0.556154 + 0.963287i
\(142\) 1.05148e9 + 1.82121e9i 0.217021 + 0.375891i
\(143\) 3.04041e9 + 5.26614e9i 0.608022 + 1.05313i
\(144\) −4.04040e8 6.99819e8i −0.0783057 0.135630i
\(145\) 6.77883e9 1.27350
\(146\) 3.52832e8 + 6.11124e8i 0.0642659 + 0.111312i
\(147\) 9.05669e9 + 1.56867e10i 1.59971 + 2.77078i
\(148\) −2.46975e9 + 4.27773e9i −0.423131 + 0.732885i
\(149\) 1.96804e9 3.40875e9i 0.327112 0.566575i −0.654825 0.755780i \(-0.727258\pi\)
0.981938 + 0.189205i \(0.0605912\pi\)
\(150\) 7.60644e9 1.22679
\(151\) −2.42444e9 −0.379503 −0.189752 0.981832i \(-0.560768\pi\)
−0.189752 + 0.981832i \(0.560768\pi\)
\(152\) 7.02148e8 1.21616e9i 0.106692 0.184796i
\(153\) 5.39111e8 9.33768e8i 0.0795366 0.137761i
\(154\) −5.44909e9 9.43810e9i −0.780694 1.35220i
\(155\) −1.15578e9 2.00187e9i −0.160836 0.278576i
\(156\) −4.88020e9 −0.659746
\(157\) 6.55165e8 + 1.13478e9i 0.0860602 + 0.149061i 0.905842 0.423615i \(-0.139239\pi\)
−0.819782 + 0.572675i \(0.805906\pi\)
\(158\) 1.20780e9 + 2.09196e9i 0.154183 + 0.267053i
\(159\) 2.95070e9 + 5.11077e9i 0.366133 + 0.634160i
\(160\) −7.50980e9 + 1.30074e10i −0.905917 + 1.56909i
\(161\) −1.58652e10 −1.86092
\(162\) −2.61882e9 + 4.53592e9i −0.298736 + 0.517426i
\(163\) −4.83813e9 8.37988e9i −0.536825 0.929809i −0.999073 0.0430576i \(-0.986290\pi\)
0.462247 0.886751i \(-0.347043\pi\)
\(164\) −6.43100e9 −0.694194
\(165\) −1.71326e10 2.96746e10i −1.79948 3.11679i
\(166\) −2.32908e9 + 4.03408e9i −0.238066 + 0.412343i
\(167\) 2.91915e9 5.05612e9i 0.290424 0.503029i −0.683486 0.729964i \(-0.739537\pi\)
0.973910 + 0.226934i \(0.0728703\pi\)
\(168\) 2.01077e10 1.94747
\(169\) 2.58294e9 4.47379e9i 0.243570 0.421876i
\(170\) −3.40688e9 −0.312850
\(171\) −1.21400e9 −0.108577
\(172\) 8.67022e9 + 1.70596e9i 0.755357 + 0.148624i
\(173\) 3.13191e9 0.265828 0.132914 0.991128i \(-0.457567\pi\)
0.132914 + 0.991128i \(0.457567\pi\)
\(174\) −4.99131e9 −0.412803
\(175\) 2.54077e10 4.40074e10i 2.04783 3.54694i
\(176\) 7.83533e9 0.615532
\(177\) −1.37124e10 + 2.37505e10i −1.05011 + 1.81884i
\(178\) −1.90612e9 + 3.30149e9i −0.142318 + 0.246502i
\(179\) 9.19907e9 + 1.59333e10i 0.669739 + 1.16002i 0.977977 + 0.208712i \(0.0669272\pi\)
−0.308238 + 0.951309i \(0.599739\pi\)
\(180\) 8.29657e9 0.589077
\(181\) 5.47812e9 + 9.48838e9i 0.379383 + 0.657111i 0.990973 0.134065i \(-0.0428030\pi\)
−0.611590 + 0.791175i \(0.709470\pi\)
\(182\) 4.87361e9 8.44133e9i 0.329253 0.570282i
\(183\) 1.38139e10 0.910515
\(184\) −6.40888e9 + 1.11005e10i −0.412194 + 0.713942i
\(185\) −1.55094e10 2.68631e10i −0.973471 1.68610i
\(186\) 8.51010e8 + 1.47399e9i 0.0521347 + 0.0902999i
\(187\) 5.22734e9 + 9.05402e9i 0.312603 + 0.541445i
\(188\) 1.22563e10 0.715563
\(189\) 1.14259e10 + 1.97902e10i 0.651344 + 1.12816i
\(190\) 1.91795e9 + 3.32199e9i 0.106769 + 0.184930i
\(191\) −3.12826e9 + 5.41830e9i −0.170080 + 0.294586i −0.938447 0.345422i \(-0.887736\pi\)
0.768368 + 0.640008i \(0.221069\pi\)
\(192\) 1.44537e9 2.50345e9i 0.0767578 0.132948i
\(193\) −1.78456e10 −0.925815 −0.462907 0.886407i \(-0.653194\pi\)
−0.462907 + 0.886407i \(0.653194\pi\)
\(194\) 1.70524e10 0.864324
\(195\) 1.53232e10 2.65406e10i 0.758918 1.31448i
\(196\) 2.12626e10 3.68279e10i 1.02912 1.78248i
\(197\) −3.85191e9 6.67170e9i −0.182212 0.315601i 0.760421 0.649430i \(-0.224993\pi\)
−0.942634 + 0.333829i \(0.891659\pi\)
\(198\) 3.80586e9 + 6.59194e9i 0.175978 + 0.304803i
\(199\) −1.71163e10 −0.773696 −0.386848 0.922143i \(-0.626436\pi\)
−0.386848 + 0.922143i \(0.626436\pi\)
\(200\) −2.05273e10 3.55544e10i −0.907188 1.57130i
\(201\) 2.33159e9 + 4.03843e9i 0.100756 + 0.174514i
\(202\) −4.93105e9 8.54084e9i −0.208381 0.360927i
\(203\) −1.66724e10 + 2.88774e10i −0.689073 + 1.19351i
\(204\) −8.39048e9 −0.339196
\(205\) 2.01926e10 3.49745e10i 0.798544 1.38312i
\(206\) 3.22156e9 + 5.57990e9i 0.124642 + 0.215886i
\(207\) 1.10809e10 0.419476
\(208\) 3.50392e9 + 6.06897e9i 0.129798 + 0.224817i
\(209\) 5.88562e9 1.01942e10i 0.213370 0.369568i
\(210\) −2.74627e10 + 4.75667e10i −0.974442 + 1.68778i
\(211\) 2.08256e10 0.723312 0.361656 0.932312i \(-0.382211\pi\)
0.361656 + 0.932312i \(0.382211\pi\)
\(212\) 6.92744e9 1.19987e10i 0.235538 0.407964i
\(213\) −3.25239e10 −1.08266
\(214\) −7.57599e9 −0.246932
\(215\) −3.65012e10 + 4.17959e10i −1.16502 + 1.33402i
\(216\) 1.84623e10 0.577091
\(217\) 1.13705e10 0.348104
\(218\) −1.90115e9 + 3.29289e9i −0.0570115 + 0.0987468i
\(219\) −1.09137e10 −0.320607
\(220\) −4.02227e10 + 6.96678e10i −1.15763 + 2.00507i
\(221\) −4.67528e9 + 8.09782e9i −0.131838 + 0.228351i
\(222\) 1.14197e10 + 1.97795e10i 0.315549 + 0.546548i
\(223\) −1.08433e10 −0.293624 −0.146812 0.989164i \(-0.546901\pi\)
−0.146812 + 0.989164i \(0.546901\pi\)
\(224\) −3.69404e10 6.39826e10i −0.980359 1.69803i
\(225\) −1.77457e10 + 3.07365e10i −0.461607 + 0.799526i
\(226\) 1.04255e10 0.265833
\(227\) −1.01933e10 + 1.76553e10i −0.254800 + 0.441326i −0.964841 0.262834i \(-0.915343\pi\)
0.710041 + 0.704160i \(0.248676\pi\)
\(228\) 4.72355e9 + 8.18142e9i 0.115761 + 0.200504i
\(229\) −3.71719e10 6.43837e10i −0.893214 1.54709i −0.836000 0.548730i \(-0.815111\pi\)
−0.0572143 0.998362i \(-0.518222\pi\)
\(230\) −1.75062e10 3.03216e10i −0.412493 0.714459i
\(231\) 1.68549e11 3.89469
\(232\) 1.34699e10 + 2.33306e10i 0.305259 + 0.528725i
\(233\) −2.65090e10 4.59149e10i −0.589238 1.02059i −0.994332 0.106316i \(-0.966095\pi\)
0.405094 0.914275i \(-0.367239\pi\)
\(234\) −3.40392e9 + 5.89576e9i −0.0742177 + 0.128549i
\(235\) −3.84832e10 + 6.66549e10i −0.823126 + 1.42570i
\(236\) 6.43857e10 1.35109
\(237\) −3.73591e10 −0.769182
\(238\) 8.37914e9 1.45131e10i 0.169279 0.293200i
\(239\) −2.25094e10 + 3.89874e10i −0.446245 + 0.772920i −0.998138 0.0609956i \(-0.980572\pi\)
0.551893 + 0.833915i \(0.313906\pi\)
\(240\) −1.97445e10 3.41985e10i −0.384146 0.665360i
\(241\) −9.81494e8 1.70000e9i −0.0187418 0.0324617i 0.856502 0.516143i \(-0.172633\pi\)
−0.875244 + 0.483681i \(0.839299\pi\)
\(242\) −4.82082e10 −0.903549
\(243\) −2.20310e10 3.81588e10i −0.405328 0.702048i
\(244\) −1.62156e10 2.80863e10i −0.292873 0.507272i
\(245\) 1.33524e11 + 2.31271e11i 2.36762 + 4.10084i
\(246\) −1.48680e10 + 2.57520e10i −0.258847 + 0.448336i
\(247\) 1.05281e10 0.179975
\(248\) 4.59320e9 7.95566e9i 0.0771051 0.133550i
\(249\) −3.60211e10 6.23904e10i −0.593827 1.02854i
\(250\) 5.96630e10 0.965995
\(251\) −4.95708e10 8.58592e10i −0.788305 1.36538i −0.927005 0.375050i \(-0.877626\pi\)
0.138700 0.990334i \(-0.455708\pi\)
\(252\) −2.04052e10 + 3.53429e10i −0.318742 + 0.552077i
\(253\) −5.37212e10 + 9.30479e10i −0.824335 + 1.42779i
\(254\) −5.59040e9 −0.0842735
\(255\) 2.63451e10 4.56311e10i 0.390184 0.675818i
\(256\) −4.05127e10 −0.589537
\(257\) −1.08823e10 −0.155604 −0.0778019 0.996969i \(-0.524790\pi\)
−0.0778019 + 0.996969i \(0.524790\pi\)
\(258\) 2.68761e10 3.07747e10i 0.377640 0.432419i
\(259\) 1.52580e11 2.10693
\(260\) −7.19495e10 −0.976445
\(261\) 1.16446e10 2.01691e10i 0.155326 0.269032i
\(262\) 4.62195e10 0.605996
\(263\) −2.11868e10 + 3.66966e10i −0.273064 + 0.472961i −0.969645 0.244518i \(-0.921370\pi\)
0.696581 + 0.717478i \(0.254704\pi\)
\(264\) 6.80871e10 1.17930e11i 0.862675 1.49420i
\(265\) 4.35026e10 + 7.53488e10i 0.541888 + 0.938577i
\(266\) −1.88687e10 −0.231086
\(267\) −2.94797e10 5.10603e10i −0.354995 0.614869i
\(268\) 5.47392e9 9.48111e9i 0.0648175 0.112267i
\(269\) −1.42316e11 −1.65718 −0.828588 0.559859i \(-0.810855\pi\)
−0.828588 + 0.559859i \(0.810855\pi\)
\(270\) −2.52154e10 + 4.36744e10i −0.288755 + 0.500138i
\(271\) 2.77872e10 + 4.81289e10i 0.312956 + 0.542056i 0.979001 0.203856i \(-0.0653474\pi\)
−0.666045 + 0.745912i \(0.732014\pi\)
\(272\) 6.02425e9 + 1.04343e10i 0.0667334 + 0.115586i
\(273\) 7.53743e10 + 1.30552e11i 0.821281 + 1.42250i
\(274\) −4.06934e10 −0.436161
\(275\) −1.72066e11 2.98028e11i −1.81426 3.14239i
\(276\) −4.31144e10 7.46763e10i −0.447230 0.774625i
\(277\) −1.13756e10 + 1.97031e10i −0.116095 + 0.201083i −0.918217 0.396078i \(-0.870371\pi\)
0.802122 + 0.597160i \(0.203704\pi\)
\(278\) −6.77508e9 + 1.17348e10i −0.0680320 + 0.117835i
\(279\) −7.94157e9 −0.0784671
\(280\) 2.96451e11 2.88232
\(281\) 4.48626e9 7.77043e9i 0.0429246 0.0743476i −0.843765 0.536713i \(-0.819666\pi\)
0.886689 + 0.462365i \(0.152999\pi\)
\(282\) 2.83355e10 4.90786e10i 0.266815 0.462137i
\(283\) −7.69169e10 1.33224e11i −0.712825 1.23465i −0.963792 0.266654i \(-0.914082\pi\)
0.250967 0.967996i \(-0.419251\pi\)
\(284\) 3.81785e10 + 6.61272e10i 0.348247 + 0.603181i
\(285\) −5.93255e10 −0.532647
\(286\) −3.30052e10 5.71666e10i −0.291699 0.505237i
\(287\) 9.93263e10 + 1.72038e11i 0.864163 + 1.49677i
\(288\) 2.58006e10 + 4.46880e10i 0.220985 + 0.382758i
\(289\) 5.12558e10 8.87776e10i 0.432218 0.748623i
\(290\) −7.35876e10 −0.610961
\(291\) −1.31864e11 + 2.28396e11i −1.07798 + 1.86711i
\(292\) 1.28112e10 + 2.21896e10i 0.103125 + 0.178619i
\(293\) 6.00089e10 0.475676 0.237838 0.971305i \(-0.423561\pi\)
0.237838 + 0.971305i \(0.423561\pi\)
\(294\) −9.83150e10 1.70287e11i −0.767462 1.32928i
\(295\) −2.02163e11 + 3.50157e11i −1.55419 + 2.69193i
\(296\) 6.16363e10 1.06757e11i 0.466685 0.808322i
\(297\) 1.54757e11 1.15411
\(298\) −2.13641e10 + 3.70037e10i −0.156932 + 0.271814i
\(299\) −9.60954e10 −0.695316
\(300\) 2.76186e11 1.96859
\(301\) −8.82742e10 2.58289e11i −0.619847 1.81366i
\(302\) 2.63185e10 0.182067
\(303\) 1.52526e11 1.03956
\(304\) 6.78289e9 1.17483e10i 0.0455495 0.0788940i
\(305\) 2.03661e11 1.34759
\(306\) −5.85232e9 + 1.01365e10i −0.0381577 + 0.0660910i
\(307\) 1.11403e10 1.92955e10i 0.0715769 0.123975i −0.828016 0.560705i \(-0.810530\pi\)
0.899593 + 0.436730i \(0.143864\pi\)
\(308\) −1.97854e11 3.42693e11i −1.25275 2.16983i
\(309\) −9.96481e10 −0.621808
\(310\) 1.25466e10 + 2.17313e10i 0.0771609 + 0.133647i
\(311\) −7.37066e10 + 1.27664e11i −0.446771 + 0.773830i −0.998174 0.0604094i \(-0.980759\pi\)
0.551403 + 0.834239i \(0.314093\pi\)
\(312\) 1.21793e11 0.727655
\(313\) 7.06503e10 1.22370e11i 0.416068 0.720651i −0.579472 0.814992i \(-0.696741\pi\)
0.995540 + 0.0943412i \(0.0300745\pi\)
\(314\) −7.11215e9 1.23186e10i −0.0412874 0.0715118i
\(315\) −1.28140e11 2.21945e11i −0.733309 1.27013i
\(316\) 4.38544e10 + 7.59581e10i 0.247413 + 0.428531i
\(317\) 6.09093e10 0.338779 0.169390 0.985549i \(-0.445820\pi\)
0.169390 + 0.985549i \(0.445820\pi\)
\(318\) −3.20314e10 5.54800e10i −0.175652 0.304238i
\(319\) 1.12909e11 + 1.95564e11i 0.610479 + 1.05738i
\(320\) 2.13093e10 3.69087e10i 0.113604 0.196768i
\(321\) 5.85845e10 1.01471e11i 0.307971 0.533422i
\(322\) 1.72224e11 0.892778
\(323\) 1.81008e10 0.0925309
\(324\) −9.50879e10 + 1.64697e11i −0.479372 + 0.830297i
\(325\) 1.53894e11 2.66553e11i 0.765152 1.32528i
\(326\) 5.25203e10 + 9.09678e10i 0.257542 + 0.446076i
\(327\) −2.94029e10 5.09273e10i −0.142208 0.246312i
\(328\) 1.60495e11 0.765649
\(329\) −1.89297e11 3.27872e11i −0.890764 1.54285i
\(330\) 1.85983e11 + 3.22133e11i 0.863299 + 1.49528i
\(331\) 2.00911e10 + 3.47989e10i 0.0919981 + 0.159345i 0.908352 0.418207i \(-0.137341\pi\)
−0.816354 + 0.577552i \(0.804008\pi\)
\(332\) −8.45677e10 + 1.46476e11i −0.382017 + 0.661673i
\(333\) −1.06568e11 −0.474929
\(334\) −3.16889e10 + 5.48867e10i −0.139331 + 0.241328i
\(335\) 3.43749e10 + 5.95391e10i 0.149121 + 0.258286i
\(336\) 1.94245e11 0.831424
\(337\) 7.71403e10 + 1.33611e11i 0.325797 + 0.564297i 0.981673 0.190572i \(-0.0610341\pi\)
−0.655876 + 0.754868i \(0.727701\pi\)
\(338\) −2.80391e10 + 4.85652e10i −0.116853 + 0.202395i
\(339\) −8.06195e10 + 1.39637e11i −0.331544 + 0.574251i
\(340\) −1.23702e11 −0.502021
\(341\) 3.85016e10 6.66868e10i 0.154200 0.267082i
\(342\) 1.31786e10 0.0520897
\(343\) −8.22274e11 −3.20769
\(344\) −2.16378e11 4.25747e10i −0.833107 0.163923i
\(345\) 5.41496e11 2.05783
\(346\) −3.39984e10 −0.127531
\(347\) −1.05597e11 + 1.82899e11i −0.390992 + 0.677218i −0.992581 0.121588i \(-0.961201\pi\)
0.601589 + 0.798806i \(0.294535\pi\)
\(348\) −1.81232e11 −0.662412
\(349\) −5.42177e10 + 9.39077e10i −0.195626 + 0.338834i −0.947106 0.320922i \(-0.896007\pi\)
0.751480 + 0.659756i \(0.229340\pi\)
\(350\) −2.75813e11 + 4.77722e11i −0.982446 + 1.70165i
\(351\) 6.92065e10 + 1.19869e11i 0.243369 + 0.421527i
\(352\) −5.00337e11 −1.73708
\(353\) 1.66261e8 + 2.87972e8i 0.000569907 + 0.000987107i 0.866310 0.499506i \(-0.166485\pi\)
−0.865740 + 0.500493i \(0.833152\pi\)
\(354\) 1.48855e11 2.57824e11i 0.503788 0.872586i
\(355\) −4.79504e11 −1.60238
\(356\) −6.92101e10 + 1.19875e11i −0.228373 + 0.395554i
\(357\) 1.29590e11 + 2.24457e11i 0.422246 + 0.731352i
\(358\) −9.98606e10 1.72964e11i −0.321307 0.556520i
\(359\) 2.00194e11 + 3.46745e11i 0.636099 + 1.10176i 0.986281 + 0.165075i \(0.0527865\pi\)
−0.350182 + 0.936682i \(0.613880\pi\)
\(360\) −2.07053e11 −0.649712
\(361\) 1.51154e11 + 2.61806e11i 0.468421 + 0.811329i
\(362\) −5.94677e10 1.03001e11i −0.182009 0.315249i
\(363\) 3.72790e11 6.45691e11i 1.12690 1.95184i
\(364\) 1.76958e11 3.06501e11i 0.528341 0.915114i
\(365\) −1.60902e11 −0.474508
\(366\) −1.49957e11 −0.436820
\(367\) 2.60946e11 4.51972e11i 0.750851 1.30051i −0.196559 0.980492i \(-0.562977\pi\)
0.947411 0.320021i \(-0.103690\pi\)
\(368\) −6.19111e10 + 1.07233e11i −0.175976 + 0.304799i
\(369\) −6.93734e10 1.20158e11i −0.194793 0.337392i
\(370\) 1.68363e11 + 2.91613e11i 0.467023 + 0.808907i
\(371\) −4.27975e11 −1.17283
\(372\) 3.08998e10 + 5.35200e10i 0.0836589 + 0.144901i
\(373\) −1.43539e10 2.48617e10i −0.0383955 0.0665030i 0.846189 0.532883i \(-0.178891\pi\)
−0.884585 + 0.466380i \(0.845558\pi\)
\(374\) −5.67454e10 9.82860e10i −0.149972 0.259758i
\(375\) −4.61369e11 + 7.99114e11i −1.20478 + 2.08674i
\(376\) −3.05874e11 −0.789218
\(377\) −1.00985e11 + 1.74911e11i −0.257466 + 0.445944i
\(378\) −1.24033e11 2.14832e11i −0.312482 0.541236i
\(379\) 5.23020e10 0.130209 0.0651047 0.997878i \(-0.479262\pi\)
0.0651047 + 0.997878i \(0.479262\pi\)
\(380\) 6.96399e10 + 1.20620e11i 0.171330 + 0.296751i
\(381\) 4.32301e10 7.48767e10i 0.105105 0.182047i
\(382\) 3.39588e10 5.88183e10i 0.0815957 0.141328i
\(383\) 3.46914e11 0.823811 0.411906 0.911227i \(-0.364863\pi\)
0.411906 + 0.911227i \(0.364863\pi\)
\(384\) 2.45110e11 4.24543e11i 0.575269 0.996395i
\(385\) 2.48495e12 5.76427
\(386\) 1.93723e11 0.444160
\(387\) 6.16542e10 + 1.80399e11i 0.139721 + 0.408823i
\(388\) 6.19163e11 1.38695
\(389\) 2.13182e11 0.472039 0.236020 0.971748i \(-0.424157\pi\)
0.236020 + 0.971748i \(0.424157\pi\)
\(390\) −1.66342e11 + 2.88112e11i −0.364091 + 0.630624i
\(391\) −1.65216e11 −0.357484
\(392\) −5.30641e11 + 9.19096e11i −1.13505 + 1.96596i
\(393\) −3.57412e11 + 6.19055e11i −0.755792 + 1.30907i
\(394\) 4.18144e10 + 7.24247e10i 0.0874164 + 0.151410i
\(395\) −5.50791e11 −1.13841
\(396\) 1.38189e11 + 2.39350e11i 0.282387 + 0.489108i
\(397\) 1.00164e11 1.73490e11i 0.202375 0.350523i −0.746919 0.664916i \(-0.768468\pi\)
0.949293 + 0.314393i \(0.101801\pi\)
\(398\) 1.85806e11 0.371181
\(399\) 1.45910e11 2.52723e11i 0.288208 0.499191i
\(400\) −1.98298e11 3.43462e11i −0.387301 0.670825i
\(401\) 5.38646e10 + 9.32963e10i 0.104029 + 0.180183i 0.913341 0.407195i \(-0.133493\pi\)
−0.809312 + 0.587379i \(0.800160\pi\)
\(402\) −2.53105e10 4.38391e10i −0.0483375 0.0837230i
\(403\) 6.88709e10 0.130066
\(404\) −1.79044e11 3.10114e11i −0.334383 0.579168i
\(405\) −5.97129e11 1.03426e12i −1.10286 1.91021i
\(406\) 1.80987e11 3.13479e11i 0.330583 0.572586i
\(407\) 5.16654e11 8.94872e11i 0.933309 1.61654i
\(408\) 2.09397e11 0.374110
\(409\) −8.64236e11 −1.52714 −0.763568 0.645727i \(-0.776554\pi\)
−0.763568 + 0.645727i \(0.776554\pi\)
\(410\) −2.19200e11 + 3.79666e11i −0.383102 + 0.663552i
\(411\) 3.14679e11 5.45039e11i 0.543975 0.942192i
\(412\) 1.16973e11 + 2.02604e11i 0.200009 + 0.346425i
\(413\) −9.94433e11 1.72241e12i −1.68190 2.91314i
\(414\) −1.20288e11 −0.201243
\(415\) −5.31065e11 9.19831e11i −0.878883 1.52227i
\(416\) −2.23748e11 3.87543e11i −0.366302 0.634453i
\(417\) −1.04782e11 1.81488e11i −0.169697 0.293925i
\(418\) −6.38914e10 + 1.10663e11i −0.102364 + 0.177300i
\(419\) 1.10769e12 1.75573 0.877863 0.478912i \(-0.158969\pi\)
0.877863 + 0.478912i \(0.158969\pi\)
\(420\) −9.97156e11 + 1.72713e12i −1.56366 + 2.70833i
\(421\) 5.18780e11 + 8.98553e11i 0.804848 + 1.39404i 0.916394 + 0.400278i \(0.131086\pi\)
−0.111546 + 0.993759i \(0.535580\pi\)
\(422\) −2.26072e11 −0.347009
\(423\) 1.32213e11 + 2.28999e11i 0.200790 + 0.347778i
\(424\) −1.72885e11 + 2.99445e11i −0.259783 + 0.449957i
\(425\) 2.64589e11 4.58282e11i 0.393388 0.681369i
\(426\) 3.53063e11 0.519408
\(427\) −5.00899e11 + 8.67582e11i −0.729163 + 1.26295i
\(428\) −2.75081e11 −0.396244
\(429\) 1.02090e12 1.45521
\(430\) 3.96239e11 4.53716e11i 0.558919 0.639994i
\(431\) −9.65644e11 −1.34794 −0.673968 0.738760i \(-0.735412\pi\)
−0.673968 + 0.738760i \(0.735412\pi\)
\(432\) 1.78350e11 0.246374
\(433\) −2.09478e11 + 3.62827e11i −0.286380 + 0.496025i −0.972943 0.231046i \(-0.925785\pi\)
0.686563 + 0.727071i \(0.259119\pi\)
\(434\) −1.23432e11 −0.167003
\(435\) 5.69046e11 9.85617e11i 0.761984 1.31980i
\(436\) −6.90299e10 + 1.19563e11i −0.0914846 + 0.158456i
\(437\) 9.30107e10 + 1.61099e11i 0.122002 + 0.211313i
\(438\) 1.18474e11 0.153811
\(439\) 7.17884e11 + 1.24341e12i 0.922495 + 1.59781i 0.795541 + 0.605899i \(0.207187\pi\)
0.126953 + 0.991909i \(0.459480\pi\)
\(440\) 1.00382e12 1.73866e12i 1.27679 2.21146i
\(441\) 9.17469e11 1.15509
\(442\) 5.07525e10 8.79059e10i 0.0632495 0.109551i
\(443\) −6.89615e11 1.19445e12i −0.850727 1.47350i −0.880553 0.473947i \(-0.842829\pi\)
0.0298263 0.999555i \(-0.490505\pi\)
\(444\) 4.14645e11 + 7.18186e11i 0.506352 + 0.877028i
\(445\) −4.34623e11 7.52789e11i −0.525403 0.910025i
\(446\) 1.17710e11 0.140866
\(447\) −3.30414e11 5.72293e11i −0.391448 0.678008i
\(448\) 1.04819e11 + 1.81552e11i 0.122939 + 0.212937i
\(449\) 1.30313e11 2.25708e11i 0.151314 0.262083i −0.780397 0.625284i \(-0.784983\pi\)
0.931711 + 0.363201i \(0.118316\pi\)
\(450\) 1.92639e11 3.33660e11i 0.221456 0.383573i
\(451\) 1.34532e12 1.53120
\(452\) 3.78545e11 0.426574
\(453\) −2.03519e11 + 3.52505e11i −0.227072 + 0.393300i
\(454\) 1.10654e11 1.91658e11i 0.122240 0.211726i
\(455\) 1.11126e12 + 1.92475e12i 1.21552 + 2.10534i
\(456\) −1.17883e11 2.04180e11i −0.127676 0.221142i
\(457\) 2.21921e11 0.238000 0.119000 0.992894i \(-0.462031\pi\)
0.119000 + 0.992894i \(0.462031\pi\)
\(458\) 4.03520e11 + 6.98917e11i 0.428519 + 0.742217i
\(459\) 1.18986e11 + 2.06090e11i 0.125123 + 0.216720i
\(460\) −6.35641e11 1.10096e12i −0.661915 1.14647i
\(461\) 2.05368e11 3.55709e11i 0.211777 0.366809i −0.740493 0.672064i \(-0.765408\pi\)
0.952271 + 0.305254i \(0.0987415\pi\)
\(462\) −1.82969e12 −1.86848
\(463\) −9.25279e11 + 1.60263e12i −0.935747 + 1.62076i −0.162449 + 0.986717i \(0.551939\pi\)
−0.773297 + 0.634044i \(0.781394\pi\)
\(464\) 1.30122e11 + 2.25378e11i 0.130323 + 0.225726i
\(465\) −3.88086e11 −0.384937
\(466\) 2.87768e11 + 4.98429e11i 0.282687 + 0.489628i
\(467\) 1.69988e11 2.94427e11i 0.165383 0.286452i −0.771408 0.636341i \(-0.780447\pi\)
0.936791 + 0.349889i \(0.113781\pi\)
\(468\) −1.23595e11 + 2.14072e11i −0.119095 + 0.206278i
\(469\) −3.38177e11 −0.322750
\(470\) 4.17755e11 7.23573e11i 0.394895 0.683977i
\(471\) 2.19990e11 0.205973
\(472\) −1.60684e12 −1.49016
\(473\) −1.81375e12 3.56874e11i −1.66611 0.327824i
\(474\) 4.05552e11 0.369015
\(475\) −5.95817e11 −0.537022
\(476\) 3.04243e11 5.26964e11i 0.271637 0.470489i
\(477\) 2.98915e11 0.264371
\(478\) 2.44351e11 4.23228e11i 0.214086 0.370808i
\(479\) 5.79578e11 1.00386e12i 0.503040 0.871290i −0.496954 0.867777i \(-0.665548\pi\)
0.999994 0.00351351i \(-0.00111839\pi\)
\(480\) 1.26082e12 + 2.18380e12i 1.08409 + 1.87770i
\(481\) 9.24180e11 0.787234
\(482\) 1.06546e10 + 1.84543e10i 0.00899138 + 0.0155735i
\(483\) −1.33180e12 + 2.30674e12i −1.11346 + 1.92857i
\(484\) −1.75042e12 −1.44990
\(485\) −1.94410e12 + 3.36727e12i −1.59544 + 2.76338i
\(486\) 2.39158e11 + 4.14233e11i 0.194456 + 0.336808i
\(487\) −7.45579e11 1.29138e12i −0.600639 1.04034i −0.992724 0.120408i \(-0.961580\pi\)
0.392085 0.919929i \(-0.371754\pi\)
\(488\) 4.04686e11 + 7.00936e11i 0.323019 + 0.559486i
\(489\) −1.62454e12 −1.28481
\(490\) −1.44947e12 2.51056e12i −1.13587 1.96738i
\(491\) 5.11325e11 + 8.85641e11i 0.397036 + 0.687687i 0.993359 0.115058i \(-0.0367054\pi\)
−0.596322 + 0.802745i \(0.703372\pi\)
\(492\) −5.39848e11 + 9.35044e11i −0.415364 + 0.719431i
\(493\) −1.73622e11 + 3.00722e11i −0.132371 + 0.229274i
\(494\) −1.14288e11 −0.0863431
\(495\) −1.73559e12 −1.29934
\(496\) 4.43712e10 7.68532e10i 0.0329180 0.0570157i
\(497\) 1.17933e12 2.04266e12i 0.867025 1.50173i
\(498\) 3.91027e11 + 6.77279e11i 0.284889 + 0.493442i
\(499\) 8.46118e11 + 1.46552e12i 0.610912 + 1.05813i 0.991087 + 0.133216i \(0.0425303\pi\)
−0.380175 + 0.924914i \(0.624136\pi\)
\(500\) 2.16633e12 1.55010
\(501\) −4.90094e11 8.48868e11i −0.347544 0.601964i
\(502\) 5.38116e11 + 9.32045e11i 0.378189 + 0.655043i
\(503\) 8.46051e11 + 1.46540e12i 0.589305 + 1.02071i 0.994324 + 0.106398i \(0.0339318\pi\)
−0.405018 + 0.914309i \(0.632735\pi\)
\(504\) 5.09243e11 8.82035e11i 0.351550 0.608903i
\(505\) 2.24871e12 1.53859
\(506\) 5.83171e11 1.01008e12i 0.395475 0.684982i
\(507\) −4.33649e11 7.51101e11i −0.291476 0.504850i
\(508\) −2.02985e11 −0.135231
\(509\) 8.26955e11 + 1.43233e12i 0.546074 + 0.945828i 0.998538 + 0.0540459i \(0.0172117\pi\)
−0.452464 + 0.891783i \(0.649455\pi\)
\(510\) −2.85989e11 + 4.95348e11i −0.187191 + 0.324224i
\(511\) 3.95735e11 6.85433e11i 0.256750 0.444704i
\(512\) −1.05520e12 −0.678612
\(513\) 1.33970e11 2.32043e11i 0.0854042 0.147924i
\(514\) 1.18132e11 0.0746509
\(515\) −1.46913e12 −0.920295
\(516\) 9.75859e11 1.11741e12i 0.605987 0.693889i
\(517\) −2.56393e12 −1.57833
\(518\) −1.65634e12 −1.01080
\(519\) 2.62907e11 4.55368e11i 0.159056 0.275492i
\(520\) 1.79561e12 1.07695
\(521\) −2.29766e11 + 3.97966e11i −0.136620 + 0.236633i −0.926215 0.376995i \(-0.876957\pi\)
0.789595 + 0.613628i \(0.210291\pi\)
\(522\) −1.26408e11 + 2.18946e11i −0.0745176 + 0.129068i
\(523\) 9.71990e11 + 1.68354e12i 0.568073 + 0.983932i 0.996756 + 0.0804768i \(0.0256443\pi\)
−0.428683 + 0.903455i \(0.641022\pi\)
\(524\) 1.67821e12 0.972423
\(525\) −4.26568e12 7.38837e12i −2.45059 4.24455i
\(526\) 2.29993e11 3.98360e11i 0.131003 0.226903i
\(527\) 1.18409e11 0.0668709
\(528\) 6.57735e11 1.13923e12i 0.368297 0.637909i
\(529\) 5.16171e10 + 8.94034e10i 0.0286578 + 0.0496368i
\(530\) −4.72243e11 8.17949e11i −0.259971 0.450282i
\(531\) 6.94551e11 + 1.20300e12i 0.379122 + 0.656658i
\(532\) −6.85111e11 −0.370816
\(533\) 6.01620e11 + 1.04204e12i 0.322886 + 0.559256i
\(534\) 3.20017e11 + 5.54285e11i 0.170309 + 0.294983i
\(535\) 8.63720e11 1.49601e12i 0.455807 0.789481i
\(536\) −1.36610e11 + 2.36615e11i −0.0714892 + 0.123823i
\(537\) 3.08885e12 1.60292
\(538\) 1.54491e12 0.795030
\(539\) −4.44799e12 + 7.70415e12i −2.26994 + 3.93165i
\(540\) −9.15559e11 + 1.58579e12i −0.463356 + 0.802555i
\(541\) −1.86915e11 3.23746e11i −0.0938115 0.162486i 0.815300 0.579038i \(-0.196572\pi\)
−0.909112 + 0.416552i \(0.863238\pi\)
\(542\) −3.01644e11 5.22463e11i −0.150141 0.260051i
\(543\) 1.83944e12 0.907999
\(544\) −3.84688e11 6.66299e11i −0.188327 0.326192i
\(545\) −4.33491e11 7.50829e11i −0.210473 0.364550i
\(546\) −8.18227e11 1.41721e12i −0.394009 0.682444i
\(547\) 1.26704e12 2.19458e12i 0.605129 1.04811i −0.386902 0.922121i \(-0.626455\pi\)
0.992031 0.125994i \(-0.0402120\pi\)
\(548\) −1.47756e12 −0.699893
\(549\) 3.49847e11 6.05953e11i 0.164363 0.284684i
\(550\) 1.86787e12 + 3.23524e12i 0.870390 + 1.50756i
\(551\) 3.90972e11 0.180702
\(552\) 1.07598e12 + 1.86366e12i 0.493264 + 0.854359i
\(553\) 1.35466e12 2.34634e12i 0.615980 1.06691i
\(554\) 1.23488e11 2.13887e11i 0.0556967 0.0964695i
\(555\) −5.20774e12 −2.32986
\(556\) −2.46000e11 + 4.26084e11i −0.109169 + 0.189086i
\(557\) 1.56901e12 0.690682 0.345341 0.938477i \(-0.387763\pi\)
0.345341 + 0.938477i \(0.387763\pi\)
\(558\) 8.62098e10 0.0376446
\(559\) −5.34677e11 1.56446e12i −0.231600 0.677658i
\(560\) 2.86378e12 1.23053
\(561\) 1.75523e12 0.748172
\(562\) −4.87006e10 + 8.43520e10i −0.0205931 + 0.0356683i
\(563\) −2.08590e12 −0.874995 −0.437498 0.899220i \(-0.644135\pi\)
−0.437498 + 0.899220i \(0.644135\pi\)
\(564\) 1.02885e12 1.78202e12i 0.428150 0.741577i
\(565\) −1.18858e12 + 2.05869e12i −0.490696 + 0.849910i
\(566\) 8.34972e11 + 1.44621e12i 0.341978 + 0.592323i
\(567\) 5.87450e12 2.38697
\(568\) −9.52803e11 1.65030e12i −0.384092 0.665267i
\(569\) 7.28996e11 1.26266e12i 0.291555 0.504988i −0.682623 0.730771i \(-0.739161\pi\)
0.974178 + 0.225783i \(0.0724941\pi\)
\(570\) 6.44008e11 0.255537
\(571\) −7.66956e11 + 1.32841e12i −0.301931 + 0.522960i −0.976573 0.215185i \(-0.930965\pi\)
0.674642 + 0.738145i \(0.264298\pi\)
\(572\) −1.19840e12 2.07569e12i −0.468080 0.810738i
\(573\) 5.25201e11 + 9.09674e11i 0.203531 + 0.352525i
\(574\) −1.07824e12 1.86756e12i −0.414582 0.718078i
\(575\) 5.43835e12 2.07473
\(576\) −7.32099e10 1.26803e11i −0.0277120 0.0479987i
\(577\) −2.24806e12 3.89375e12i −0.844338 1.46244i −0.886195 0.463313i \(-0.846661\pi\)
0.0418569 0.999124i \(-0.486673\pi\)
\(578\) −5.56407e11 + 9.63726e11i −0.207356 + 0.359152i
\(579\) −1.49805e12 + 2.59469e12i −0.553951 + 0.959472i
\(580\) −2.67193e12 −0.980390
\(581\) 5.22457e12 1.90221
\(582\) 1.43145e12 2.47935e12i 0.517159 0.895746i
\(583\) −1.44917e12 + 2.51004e12i −0.519531 + 0.899854i
\(584\) −3.19722e11 5.53774e11i −0.113740 0.197004i
\(585\) −7.76144e11 1.34432e12i −0.273994 0.474571i
\(586\) −6.51426e11 −0.228206
\(587\) −1.09619e12 1.89866e12i −0.381079 0.660049i 0.610138 0.792295i \(-0.291114\pi\)
−0.991217 + 0.132247i \(0.957781\pi\)
\(588\) −3.56977e12 6.18302e12i −1.23152 2.13306i
\(589\) −6.66602e10 1.15459e11i −0.0228217 0.0395283i
\(590\) 2.19459e12 3.80114e12i 0.745622 1.29146i
\(591\) −1.29339e12 −0.436099
\(592\) 5.95419e11 1.03130e12i 0.199239 0.345092i
\(593\) 2.52094e12 + 4.36639e12i 0.837175 + 1.45003i 0.892248 + 0.451546i \(0.149127\pi\)
−0.0550731 + 0.998482i \(0.517539\pi\)
\(594\) −1.67996e12 −0.553683
\(595\) 1.91057e12 + 3.30920e12i 0.624938 + 1.08242i
\(596\) −7.75721e11 + 1.34359e12i −0.251824 + 0.436172i
\(597\) −1.43682e12 + 2.48865e12i −0.462933 + 0.801823i
\(598\) 1.04316e12 0.333578
\(599\) −1.55324e12 + 2.69028e12i −0.492966 + 0.853842i −0.999967 0.00810358i \(-0.997421\pi\)
0.507001 + 0.861945i \(0.330754\pi\)
\(600\) −6.89264e12 −2.17123
\(601\) −2.62370e11 −0.0820311 −0.0410156 0.999159i \(-0.513059\pi\)
−0.0410156 + 0.999159i \(0.513059\pi\)
\(602\) 9.58261e11 + 2.80386e12i 0.297372 + 0.870105i
\(603\) 2.36196e11 0.0727520
\(604\) 9.55613e11 0.292157
\(605\) 5.49610e12 9.51952e12i 1.66784 2.88879i
\(606\) −1.65574e12 −0.498731
\(607\) −6.18431e11 + 1.07115e12i −0.184902 + 0.320260i −0.943544 0.331248i \(-0.892530\pi\)
0.758641 + 0.651508i \(0.225864\pi\)
\(608\) −4.33131e11 + 7.50206e11i −0.128545 + 0.222646i
\(609\) 2.79911e12 + 4.84821e12i 0.824599 + 1.42825i
\(610\) −2.21084e12 −0.646507
\(611\) −1.14657e12 1.98592e12i −0.332826 0.576471i
\(612\) −2.12495e11 + 3.68052e11i −0.0612304 + 0.106054i
\(613\) −3.61447e12 −1.03389 −0.516943 0.856020i \(-0.672930\pi\)
−0.516943 + 0.856020i \(0.672930\pi\)
\(614\) −1.20933e11 + 2.09463e11i −0.0343390 + 0.0594770i
\(615\) −3.39012e12 5.87185e12i −0.955601 1.65515i
\(616\) 4.93774e12 + 8.55241e12i 1.38170 + 2.39318i
\(617\) −1.79638e12 3.11143e12i −0.499018 0.864324i 0.500982 0.865458i \(-0.332972\pi\)
−0.999999 + 0.00113395i \(0.999639\pi\)
\(618\) 1.08173e12 0.298312
\(619\) −6.13027e11 1.06179e12i −0.167831 0.290692i 0.769826 0.638254i \(-0.220343\pi\)
−0.937657 + 0.347562i \(0.887010\pi\)
\(620\) 4.55560e11 + 7.89053e11i 0.123818 + 0.214459i
\(621\) −1.22282e12 + 2.11798e12i −0.329950 + 0.571491i
\(622\) 8.00123e11 1.38585e12i 0.214338 0.371245i
\(623\) 4.27578e12 1.13715
\(624\) 1.17654e12 0.310654
\(625\) −2.72627e12 + 4.72203e12i −0.714674 + 1.23785i
\(626\) −7.66945e11 + 1.32839e12i −0.199609 + 0.345732i
\(627\) −9.88133e11 1.71150e12i −0.255336 0.442254i
\(628\) −2.58239e11 4.47282e11i −0.0662526 0.114753i
\(629\) 1.58893e12 0.404742
\(630\) 1.39102e12 + 2.40932e12i 0.351805 + 0.609344i
\(631\) 2.67662e11 + 4.63604e11i 0.0672132 + 0.116417i 0.897674 0.440661i \(-0.145256\pi\)
−0.830460 + 0.557078i \(0.811923\pi\)
\(632\) −1.09445e12 1.89565e12i −0.272879 0.472641i
\(633\) 1.74820e12 3.02796e12i 0.432786 0.749607i
\(634\) −6.61201e11 −0.162529
\(635\) 6.37348e11 1.10392e12i 0.155559 0.269436i
\(636\) −1.16304e12 2.01445e12i −0.281863 0.488202i
\(637\) −7.95647e12 −1.91467
\(638\) −1.22568e12 2.12295e12i −0.292877 0.507278i
\(639\) −8.23690e11 + 1.42667e12i −0.195438 + 0.338509i
\(640\) 3.61370e12 6.25910e12i 0.851416 1.47470i
\(641\) 8.17528e12 1.91268 0.956338 0.292264i \(-0.0944085\pi\)
0.956338 + 0.292264i \(0.0944085\pi\)
\(642\) −6.35964e11 + 1.10152e12i −0.147749 + 0.255909i
\(643\) 4.04692e12 0.933631 0.466815 0.884355i \(-0.345401\pi\)
0.466815 + 0.884355i \(0.345401\pi\)
\(644\) 6.25338e12 1.43261
\(645\) 3.01290e12 + 8.81569e12i 0.685434 + 2.00557i
\(646\) −1.96493e11 −0.0443917
\(647\) −3.69268e12 −0.828462 −0.414231 0.910172i \(-0.635949\pi\)
−0.414231 + 0.910172i \(0.635949\pi\)
\(648\) 2.37306e12 4.11026e12i 0.528715 0.915761i
\(649\) −1.34690e13 −2.98013
\(650\) −1.67060e12 + 2.89357e12i −0.367082 + 0.635804i
\(651\) 9.54489e11 1.65322e12i 0.208284 0.360759i
\(652\) 1.90699e12 + 3.30300e12i 0.413269 + 0.715804i
\(653\) −3.14812e11 −0.0677550 −0.0338775 0.999426i \(-0.510786\pi\)
−0.0338775 + 0.999426i \(0.510786\pi\)
\(654\) 3.19183e11 + 5.52841e11i 0.0682245 + 0.118168i
\(655\) −5.26937e12 + 9.12682e12i −1.11860 + 1.93746i
\(656\) 1.55041e12 0.326874
\(657\) −2.76397e11 + 4.78734e11i −0.0578747 + 0.100242i
\(658\) 2.05492e12 + 3.55922e12i 0.427344 + 0.740182i
\(659\) 3.68208e10 + 6.37756e10i 0.00760518 + 0.0131726i 0.869803 0.493399i \(-0.164246\pi\)
−0.862198 + 0.506572i \(0.830913\pi\)
\(660\) 6.75297e12 + 1.16965e13i 1.38531 + 2.39943i
\(661\) 7.00770e12 1.42781 0.713903 0.700245i \(-0.246926\pi\)
0.713903 + 0.700245i \(0.246926\pi\)
\(662\) −2.18100e11 3.77759e11i −0.0441361 0.0764459i
\(663\) 7.84929e11 + 1.35954e12i 0.157768 + 0.273263i
\(664\) 2.11051e12 3.65552e12i 0.421339 0.729780i
\(665\) 2.15117e12 3.72593e12i 0.426557 0.738818i
\(666\) 1.15685e12 0.227847
\(667\) −3.56861e12 −0.698125
\(668\) −1.15061e12 + 1.99291e12i −0.223580 + 0.387252i
\(669\) −9.10241e11 + 1.57658e12i −0.175687 + 0.304298i
\(670\) −3.73157e11 6.46327e11i −0.0715410 0.123913i
\(671\) 3.39220e12 + 5.87546e12i 0.645996 + 1.11890i
\(672\) −1.24038e13 −2.34635
\(673\) 4.31892e11 + 7.48058e11i 0.0811534 + 0.140562i 0.903746 0.428070i \(-0.140806\pi\)
−0.822592 + 0.568632i \(0.807473\pi\)
\(674\) −8.37397e11 1.45041e12i −0.156301 0.270721i
\(675\) −3.91662e12 6.78378e12i −0.726180 1.25778i
\(676\) −1.01809e12 + 1.76338e12i −0.187510 + 0.324777i
\(677\) −4.81500e12 −0.880941 −0.440471 0.897767i \(-0.645188\pi\)
−0.440471 + 0.897767i \(0.645188\pi\)
\(678\) 8.75165e11 1.51583e12i 0.159058 0.275497i
\(679\) −9.56292e12 1.65635e13i −1.72654 2.99046i
\(680\) 3.08717e12 0.553695
\(681\) 1.71135e12 + 2.96415e12i 0.304914 + 0.528126i
\(682\) −4.17955e11 + 7.23919e11i −0.0739775 + 0.128133i
\(683\) −2.74257e12 + 4.75028e12i −0.482242 + 0.835268i −0.999792 0.0203853i \(-0.993511\pi\)
0.517550 + 0.855653i \(0.326844\pi\)
\(684\) 4.78509e11 0.0835867
\(685\) 4.63935e12 8.03559e12i 0.805100 1.39447i
\(686\) 8.92620e12 1.53889
\(687\) −1.24815e13 −2.13778
\(688\) −2.09026e12 4.11280e11i −0.355674 0.0699826i
\(689\) −2.59225e12 −0.438218
\(690\) −5.87821e12 −0.987243
\(691\) −4.36311e12 + 7.55713e12i −0.728023 + 1.26097i 0.229695 + 0.973263i \(0.426227\pi\)
−0.957718 + 0.287710i \(0.907106\pi\)
\(692\) −1.23447e12 −0.204645
\(693\) 4.26863e12 7.39349e12i 0.703055 1.21773i
\(694\) 1.14631e12 1.98546e12i 0.187578 0.324895i
\(695\) −1.54482e12 2.67571e12i −0.251158 0.435018i
\(696\) 4.52291e12 0.730595
\(697\) 1.03436e12 + 1.79156e12i 0.166006 + 0.287531i
\(698\) 5.88560e11 1.01942e12i 0.0938515 0.162556i
\(699\) −8.90114e12 −1.41026
\(700\) −1.00146e13 + 1.73459e13i −1.57650 + 2.73058i
\(701\) −3.06763e12 5.31329e12i −0.479813 0.831060i 0.519919 0.854216i \(-0.325962\pi\)
−0.999732 + 0.0231554i \(0.992629\pi\)
\(702\) −7.51271e11 1.30124e12i −0.116756 0.202228i
\(703\) −8.94514e11 1.54934e12i −0.138130 0.239248i
\(704\) 1.41972e12 0.217834
\(705\) 6.46092e12 + 1.11906e13i 0.985017 + 1.70610i
\(706\) −1.80485e9 3.12608e9i −0.000273413 0.000473565i
\(707\) −5.53065e12 + 9.57936e12i −0.832508 + 1.44195i
\(708\) 5.40484e12 9.36146e12i 0.808413 1.40021i
\(709\) 3.25973e12 0.484477 0.242239 0.970217i \(-0.422118\pi\)
0.242239 + 0.970217i \(0.422118\pi\)
\(710\) 5.20526e12 0.768741
\(711\) −9.46146e11 + 1.63877e12i −0.138850 + 0.240495i
\(712\) 1.72724e12 2.99167e12i 0.251880 0.436269i
\(713\) 6.08443e11 + 1.05385e12i 0.0881693 + 0.152714i
\(714\) −1.40677e12 2.43660e12i −0.202573 0.350866i
\(715\) 1.50513e13 2.15376
\(716\) −3.62589e12 6.28022e12i −0.515592 0.893031i
\(717\) 3.77909e12 + 6.54558e12i 0.534012 + 0.924936i
\(718\) −2.17320e12 3.76410e12i −0.305169 0.528568i
\(719\) 1.34615e11 2.33160e11i 0.0187851 0.0325367i −0.856480 0.516180i \(-0.827354\pi\)
0.875265 + 0.483643i \(0.160687\pi\)
\(720\) −2.00018e12 −0.277378
\(721\) 3.61329e12 6.25839e12i 0.497959 0.862490i
\(722\) −1.64085e12 2.84204e12i −0.224725 0.389235i
\(723\) −3.29565e11 −0.0448558
\(724\) −2.15924e12 3.73992e12i −0.292064 0.505870i
\(725\) 5.71504e12 9.89875e12i 0.768243 1.33064i
\(726\) −4.04682e12 + 7.00930e12i −0.540629 + 0.936397i
\(727\) 6.87986e12 0.913429 0.456714 0.889613i \(-0.349026\pi\)
0.456714 + 0.889613i \(0.349026\pi\)
\(728\) −4.41626e12 + 7.64918e12i −0.582724 + 1.00931i
\(729\) 2.09923e12 0.275288
\(730\) 1.74667e12 0.227645
\(731\) −9.19265e11 2.68976e12i −0.119073 0.348405i
\(732\) −5.44487e12 −0.700951
\(733\) 8.48787e12 1.08600 0.543001 0.839732i \(-0.317288\pi\)
0.543001 + 0.839732i \(0.317288\pi\)
\(734\) −2.83270e12 + 4.90639e12i −0.360221 + 0.623921i
\(735\) 4.48346e13 5.66657
\(736\) 3.95342e12 6.84753e12i 0.496619 0.860169i
\(737\) −1.14511e12 + 1.98338e12i −0.142969 + 0.247630i
\(738\) 7.53083e11 + 1.30438e12i 0.0934521 + 0.161864i
\(739\) −1.35832e13 −1.67534 −0.837669 0.546179i \(-0.816082\pi\)
−0.837669 + 0.546179i \(0.816082\pi\)
\(740\) 6.11317e12 + 1.05883e13i 0.749417 + 1.29803i
\(741\) 8.83775e11 1.53074e12i 0.107686 0.186518i
\(742\) 4.64589e12 0.562666
\(743\) 7.56806e12 1.31083e13i 0.911035 1.57796i 0.0984307 0.995144i \(-0.468618\pi\)
0.812605 0.582815i \(-0.198049\pi\)
\(744\) −7.71150e11 1.33567e12i −0.0922700 0.159816i
\(745\) −4.87134e12 8.43741e12i −0.579355 1.00347i
\(746\) 1.55819e11 + 2.69886e11i 0.0184203 + 0.0319048i
\(747\) −3.64904e12 −0.428782
\(748\) −2.06040e12 3.56872e12i −0.240655 0.416826i
\(749\) 4.24860e12 + 7.35879e12i 0.493262 + 0.854355i
\(750\) 5.00839e12 8.67478e12i 0.577993 1.00111i
\(751\) 3.63506e12 6.29611e12i 0.416996 0.722259i −0.578639 0.815583i \(-0.696416\pi\)
0.995636 + 0.0933247i \(0.0297495\pi\)
\(752\) −2.95480e12 −0.336936
\(753\) −1.66448e13 −1.88670
\(754\) 1.09624e12 1.89874e12i 0.123519 0.213941i
\(755\) −3.00051e12 + 5.19703e12i −0.336073 + 0.582096i
\(756\) −4.50359e12 7.80045e12i −0.501431 0.868504i
\(757\) −9.31228e11 1.61293e12i −0.103068 0.178519i 0.809879 0.586597i \(-0.199533\pi\)
−0.912947 + 0.408078i \(0.866199\pi\)
\(758\) −5.67765e11 −0.0624679
\(759\) 9.01922e12 + 1.56218e13i 0.986464 + 1.70861i
\(760\) −1.73797e12 3.01025e12i −0.188965 0.327297i
\(761\) 3.16688e12 + 5.48519e12i 0.342295 + 0.592872i 0.984858 0.173360i \(-0.0554625\pi\)
−0.642564 + 0.766232i \(0.722129\pi\)
\(762\) −4.69284e11 + 8.12824e11i −0.0504242 + 0.0873372i
\(763\) 4.26465e12 0.455536