Properties

Label 43.10.c.a.6.5
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 6.5
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.5

$q$-expansion

\(f(q)\) \(=\) \(q-36.2109 q^{2} +(-128.726 + 222.960i) q^{3} +799.229 q^{4} +(-873.768 + 1513.41i) q^{5} +(4661.28 - 8073.58i) q^{6} +(4633.70 + 8025.80i) q^{7} -10400.8 q^{8} +(-23299.2 - 40355.5i) q^{9} +O(q^{10})\) \(q-36.2109 q^{2} +(-128.726 + 222.960i) q^{3} +799.229 q^{4} +(-873.768 + 1513.41i) q^{5} +(4661.28 - 8073.58i) q^{6} +(4633.70 + 8025.80i) q^{7} -10400.8 q^{8} +(-23299.2 - 40355.5i) q^{9} +(31639.9 - 54801.9i) q^{10} -55519.6 q^{11} +(-102882. + 178196. i) q^{12} +(31455.5 + 54482.6i) q^{13} +(-167790. - 290621. i) q^{14} +(-224953. - 389630. i) q^{15} -32582.1 q^{16} +(-153689. - 266198. i) q^{17} +(843686. + 1.46131e6i) q^{18} +(-249236. + 431690. i) q^{19} +(-698341. + 1.20956e6i) q^{20} -2.38591e6 q^{21} +2.01042e6 q^{22} +(1.06817e6 - 1.85012e6i) q^{23} +(1.33886e6 - 2.31897e6i) q^{24} +(-550378. - 953282. i) q^{25} +(-1.13903e6 - 1.97286e6i) q^{26} +6.92944e6 q^{27} +(3.70339e6 + 6.41445e6i) q^{28} +(-1.61967e6 - 2.80536e6i) q^{29} +(8.14576e6 + 1.41089e7i) q^{30} +(2.50413e6 - 4.33729e6i) q^{31} +6.50505e6 q^{32} +(7.14682e6 - 1.23786e7i) q^{33} +(5.56523e6 + 9.63926e6i) q^{34} -1.61951e7 q^{35} +(-1.86214e7 - 3.22533e7i) q^{36} +(-7.98811e6 + 1.38358e7i) q^{37} +(9.02507e6 - 1.56319e7i) q^{38} -1.61966e7 q^{39} +(9.08791e6 - 1.57407e7i) q^{40} +1.96510e7 q^{41} +8.63959e7 q^{42} +(-1.78335e7 + 1.35853e7i) q^{43} -4.43729e7 q^{44} +8.14325e7 q^{45} +(-3.86793e7 + 6.69945e7i) q^{46} -2.29770e7 q^{47} +(4.19416e6 - 7.26450e6i) q^{48} +(-2.27655e7 + 3.94310e7i) q^{49} +(1.99297e7 + 3.45192e7i) q^{50} +7.91352e7 q^{51} +(2.51402e7 + 4.35441e7i) q^{52} +(-3.96619e7 + 6.86965e7i) q^{53} -2.50921e8 q^{54} +(4.85113e7 - 8.40240e7i) q^{55} +(-4.81943e7 - 8.34749e7i) q^{56} +(-6.41664e7 - 1.11139e8i) q^{57} +(5.86498e7 + 1.01585e8i) q^{58} -2.24292e7 q^{59} +(-1.79789e8 - 3.11404e8i) q^{60} +(-1.43410e7 - 2.48394e7i) q^{61} +(-9.06770e7 + 1.57057e8i) q^{62} +(2.15923e8 - 3.73990e8i) q^{63} -2.18872e8 q^{64} -1.09939e8 q^{65} +(-2.58793e8 + 4.48242e8i) q^{66} +(2.23160e7 - 3.86525e7i) q^{67} +(-1.22833e8 - 2.12753e8i) q^{68} +(2.75002e8 + 4.76317e8i) q^{69} +5.86439e8 q^{70} +(6.62070e7 + 1.14674e8i) q^{71} +(2.42331e8 + 4.19730e8i) q^{72} +(-3.47571e7 - 6.02010e7i) q^{73} +(2.89257e8 - 5.01007e8i) q^{74} +2.83392e8 q^{75} +(-1.99197e8 + 3.45019e8i) q^{76} +(-2.57261e8 - 4.45589e8i) q^{77} +5.86493e8 q^{78} +(-1.96128e7 - 3.39703e7i) q^{79} +(2.84692e7 - 4.93101e7i) q^{80} +(-4.33400e8 + 7.50671e8i) q^{81} -7.11581e8 q^{82} +(3.78944e8 - 6.56351e8i) q^{83} -1.90689e9 q^{84} +5.37155e8 q^{85} +(6.45766e8 - 4.91935e8i) q^{86} +8.33976e8 q^{87} +5.77450e8 q^{88} +(-2.58763e8 + 4.48191e8i) q^{89} -2.94874e9 q^{90} +(-2.91511e8 + 5.04912e8i) q^{91} +(8.53711e8 - 1.47867e9i) q^{92} +(6.44694e8 + 1.11664e9i) q^{93} +8.32019e8 q^{94} +(-4.35549e8 - 7.54394e8i) q^{95} +(-8.37369e8 + 1.45037e9i) q^{96} -2.58560e8 q^{97} +(8.24358e8 - 1.42783e9i) q^{98} +(1.29356e9 + 2.24052e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −36.2109 −1.60031 −0.800155 0.599793i \(-0.795250\pi\)
−0.800155 + 0.599793i \(0.795250\pi\)
\(3\) −128.726 + 222.960i −0.917530 + 1.58921i −0.114377 + 0.993437i \(0.536487\pi\)
−0.803154 + 0.595772i \(0.796846\pi\)
\(4\) 799.229 1.56099
\(5\) −873.768 + 1513.41i −0.625217 + 1.08291i 0.363281 + 0.931679i \(0.381656\pi\)
−0.988499 + 0.151229i \(0.951677\pi\)
\(6\) 4661.28 8073.58i 1.46833 2.54323i
\(7\) 4633.70 + 8025.80i 0.729435 + 1.26342i 0.957122 + 0.289684i \(0.0935501\pi\)
−0.227688 + 0.973734i \(0.573117\pi\)
\(8\) −10400.8 −0.897765
\(9\) −23299.2 40355.5i −1.18372 2.05027i
\(10\) 31639.9 54801.9i 1.00054 1.73299i
\(11\) −55519.6 −1.14335 −0.571675 0.820480i \(-0.693706\pi\)
−0.571675 + 0.820480i \(0.693706\pi\)
\(12\) −102882. + 178196.i −1.43226 + 2.48075i
\(13\) 31455.5 + 54482.6i 0.305458 + 0.529070i 0.977363 0.211568i \(-0.0678569\pi\)
−0.671905 + 0.740638i \(0.734524\pi\)
\(14\) −167790. 290621.i −1.16732 2.02186i
\(15\) −224953. 389630.i −1.14731 1.98720i
\(16\) −32582.1 −0.124291
\(17\) −153689. 266198.i −0.446297 0.773008i 0.551845 0.833947i \(-0.313924\pi\)
−0.998142 + 0.0609383i \(0.980591\pi\)
\(18\) 843686. + 1.46131e6i 1.89433 + 3.28107i
\(19\) −249236. + 431690.i −0.438753 + 0.759943i −0.997594 0.0693325i \(-0.977913\pi\)
0.558840 + 0.829275i \(0.311246\pi\)
\(20\) −698341. + 1.20956e6i −0.975961 + 1.69041i
\(21\) −2.38591e6 −2.67711
\(22\) 2.01042e6 1.82972
\(23\) 1.06817e6 1.85012e6i 0.795910 1.37856i −0.126349 0.991986i \(-0.540326\pi\)
0.922260 0.386571i \(-0.126341\pi\)
\(24\) 1.33886e6 2.31897e6i 0.823727 1.42674i
\(25\) −550378. 953282.i −0.281793 0.488080i
\(26\) −1.13903e6 1.97286e6i −0.488828 0.846676i
\(27\) 6.92944e6 2.50935
\(28\) 3.70339e6 + 6.41445e6i 1.13864 + 1.97219i
\(29\) −1.61967e6 2.80536e6i −0.425242 0.736542i 0.571201 0.820811i \(-0.306478\pi\)
−0.996443 + 0.0842690i \(0.973145\pi\)
\(30\) 8.14576e6 + 1.41089e7i 1.83606 + 3.18014i
\(31\) 2.50413e6 4.33729e6i 0.487001 0.843511i −0.512887 0.858456i \(-0.671424\pi\)
0.999888 + 0.0149453i \(0.00475741\pi\)
\(32\) 6.50505e6 1.09667
\(33\) 7.14682e6 1.23786e7i 1.04906 1.81702i
\(34\) 5.56523e6 + 9.63926e6i 0.714213 + 1.23705i
\(35\) −1.61951e7 −1.82422
\(36\) −1.86214e7 3.22533e7i −1.84779 3.20046i
\(37\) −7.98811e6 + 1.38358e7i −0.700707 + 1.21366i 0.267512 + 0.963554i \(0.413798\pi\)
−0.968219 + 0.250105i \(0.919535\pi\)
\(38\) 9.02507e6 1.56319e7i 0.702141 1.21614i
\(39\) −1.61966e7 −1.12107
\(40\) 9.08791e6 1.57407e7i 0.561298 0.972198i
\(41\) 1.96510e7 1.08607 0.543035 0.839710i \(-0.317275\pi\)
0.543035 + 0.839710i \(0.317275\pi\)
\(42\) 8.63959e7 4.28421
\(43\) −1.78335e7 + 1.35853e7i −0.795477 + 0.605983i
\(44\) −4.43729e7 −1.78476
\(45\) 8.14325e7 2.96034
\(46\) −3.86793e7 + 6.69945e7i −1.27370 + 2.20612i
\(47\) −2.29770e7 −0.686837 −0.343418 0.939182i \(-0.611585\pi\)
−0.343418 + 0.939182i \(0.611585\pi\)
\(48\) 4.19416e6 7.26450e6i 0.114041 0.197524i
\(49\) −2.27655e7 + 3.94310e7i −0.564150 + 0.977136i
\(50\) 1.99297e7 + 3.45192e7i 0.450957 + 0.781080i
\(51\) 7.91352e7 1.63796
\(52\) 2.51402e7 + 4.35441e7i 0.476819 + 0.825875i
\(53\) −3.96619e7 + 6.86965e7i −0.690450 + 1.19590i 0.281240 + 0.959637i \(0.409254\pi\)
−0.971690 + 0.236258i \(0.924079\pi\)
\(54\) −2.50921e8 −4.01574
\(55\) 4.85113e7 8.40240e7i 0.714843 1.23814i
\(56\) −4.81943e7 8.34749e7i −0.654861 1.13425i
\(57\) −6.41664e7 1.11139e8i −0.805139 1.39454i
\(58\) 5.86498e7 + 1.01585e8i 0.680520 + 1.17870i
\(59\) −2.24292e7 −0.240980 −0.120490 0.992715i \(-0.538447\pi\)
−0.120490 + 0.992715i \(0.538447\pi\)
\(60\) −1.79789e8 3.11404e8i −1.79095 3.10201i
\(61\) −1.43410e7 2.48394e7i −0.132616 0.229697i 0.792068 0.610432i \(-0.209004\pi\)
−0.924684 + 0.380735i \(0.875671\pi\)
\(62\) −9.06770e7 + 1.57057e8i −0.779353 + 1.34988i
\(63\) 2.15923e8 3.73990e8i 1.72690 2.99108i
\(64\) −2.18872e8 −1.63072
\(65\) −1.09939e8 −0.763912
\(66\) −2.58793e8 + 4.48242e8i −1.67882 + 2.90780i
\(67\) 2.23160e7 3.86525e7i 0.135294 0.234337i −0.790415 0.612571i \(-0.790135\pi\)
0.925710 + 0.378234i \(0.123469\pi\)
\(68\) −1.22833e8 2.12753e8i −0.696667 1.20666i
\(69\) 2.75002e8 + 4.76317e8i 1.46054 + 2.52974i
\(70\) 5.86439e8 2.91932
\(71\) 6.62070e7 + 1.14674e8i 0.309201 + 0.535552i 0.978188 0.207722i \(-0.0666050\pi\)
−0.668987 + 0.743275i \(0.733272\pi\)
\(72\) 2.42331e8 + 4.19730e8i 1.06271 + 1.84066i
\(73\) −3.47571e7 6.02010e7i −0.143249 0.248114i 0.785470 0.618900i \(-0.212421\pi\)
−0.928718 + 0.370787i \(0.879088\pi\)
\(74\) 2.89257e8 5.01007e8i 1.12135 1.94223i
\(75\) 2.83392e8 1.03422
\(76\) −1.99197e8 + 3.45019e8i −0.684891 + 1.18627i
\(77\) −2.57261e8 4.45589e8i −0.833999 1.44453i
\(78\) 5.86493e8 1.79406
\(79\) −1.96128e7 3.39703e7i −0.0566522 0.0981245i 0.836308 0.548259i \(-0.184709\pi\)
−0.892961 + 0.450135i \(0.851376\pi\)
\(80\) 2.84692e7 4.93101e7i 0.0777088 0.134596i
\(81\) −4.33400e8 + 7.50671e8i −1.11868 + 1.93761i
\(82\) −7.11581e8 −1.73805
\(83\) 3.78944e8 6.56351e8i 0.876444 1.51805i 0.0212271 0.999775i \(-0.493243\pi\)
0.855217 0.518271i \(-0.173424\pi\)
\(84\) −1.90689e9 −4.17896
\(85\) 5.37155e8 1.11613
\(86\) 6.45766e8 4.91935e8i 1.27301 0.969762i
\(87\) 8.33976e8 1.56069
\(88\) 5.77450e8 1.02646
\(89\) −2.58763e8 + 4.48191e8i −0.437167 + 0.757196i −0.997470 0.0710920i \(-0.977352\pi\)
0.560302 + 0.828288i \(0.310685\pi\)
\(90\) −2.94874e9 −4.73746
\(91\) −2.91511e8 + 5.04912e8i −0.445624 + 0.771843i
\(92\) 8.53711e8 1.47867e9i 1.24241 2.15192i
\(93\) 6.44694e8 + 1.11664e9i 0.893677 + 1.54789i
\(94\) 8.32019e8 1.09915
\(95\) −4.35549e8 7.54394e8i −0.548632 0.950259i
\(96\) −8.37369e8 + 1.45037e9i −1.00623 + 1.74284i
\(97\) −2.58560e8 −0.296543 −0.148272 0.988947i \(-0.547371\pi\)
−0.148272 + 0.988947i \(0.547371\pi\)
\(98\) 8.24358e8 1.42783e9i 0.902815 1.56372i
\(99\) 1.29356e9 + 2.24052e9i 1.35341 + 2.34418i
\(100\) −4.39878e8 7.61891e8i −0.439878 0.761891i
\(101\) 5.76509e8 + 9.98542e8i 0.551264 + 0.954817i 0.998184 + 0.0602433i \(0.0191876\pi\)
−0.446920 + 0.894574i \(0.647479\pi\)
\(102\) −2.86556e9 −2.62125
\(103\) 5.13732e8 + 8.89809e8i 0.449747 + 0.778985i 0.998369 0.0570852i \(-0.0181807\pi\)
−0.548622 + 0.836071i \(0.684847\pi\)
\(104\) −3.27164e8 5.66664e8i −0.274230 0.474980i
\(105\) 2.08473e9 3.61086e9i 1.67378 2.89907i
\(106\) 1.43619e9 2.48756e9i 1.10494 1.91380i
\(107\) −9.05801e8 −0.668045 −0.334023 0.942565i \(-0.608406\pi\)
−0.334023 + 0.942565i \(0.608406\pi\)
\(108\) 5.53821e9 3.91708
\(109\) 1.86554e8 3.23121e8i 0.126586 0.219253i −0.795766 0.605604i \(-0.792931\pi\)
0.922352 + 0.386351i \(0.126265\pi\)
\(110\) −1.75664e9 + 3.04258e9i −1.14397 + 1.98141i
\(111\) −2.05655e9 3.56206e9i −1.28584 2.22714i
\(112\) −1.50975e8 2.61497e8i −0.0906620 0.157031i
\(113\) −1.64930e9 −0.951581 −0.475790 0.879559i \(-0.657838\pi\)
−0.475790 + 0.879559i \(0.657838\pi\)
\(114\) 2.32352e9 + 4.02446e9i 1.28847 + 2.23170i
\(115\) 1.86666e9 + 3.23315e9i 0.995234 + 1.72380i
\(116\) −1.29449e9 2.24212e9i −0.663801 1.14974i
\(117\) 1.46578e9 2.53881e9i 0.723157 1.25254i
\(118\) 8.12183e8 0.385642
\(119\) 1.42430e9 2.46696e9i 0.651088 1.12772i
\(120\) 2.33970e9 + 4.05248e9i 1.03002 + 1.78404i
\(121\) 7.24480e8 0.307250
\(122\) 5.19301e8 + 8.99456e8i 0.212227 + 0.367587i
\(123\) −2.52960e9 + 4.38139e9i −0.996503 + 1.72599i
\(124\) 2.00138e9 3.46649e9i 0.760206 1.31672i
\(125\) −1.48955e9 −0.545706
\(126\) −7.81877e9 + 1.35425e10i −2.76357 + 4.78665i
\(127\) 2.65031e9 0.904025 0.452013 0.892011i \(-0.350706\pi\)
0.452013 + 0.892011i \(0.350706\pi\)
\(128\) 4.59495e9 1.51299
\(129\) −7.33344e8 5.72493e9i −0.233160 1.82019i
\(130\) 3.98100e9 1.22250
\(131\) −4.79702e9 −1.42315 −0.711575 0.702610i \(-0.752018\pi\)
−0.711575 + 0.702610i \(0.752018\pi\)
\(132\) 5.71194e9 9.89338e9i 1.63757 2.83636i
\(133\) −4.61954e9 −1.28017
\(134\) −8.08083e8 + 1.39964e9i −0.216513 + 0.375012i
\(135\) −6.05472e9 + 1.04871e10i −1.56889 + 2.71740i
\(136\) 1.59850e9 + 2.76868e9i 0.400670 + 0.693980i
\(137\) 3.85984e9 0.936110 0.468055 0.883699i \(-0.344955\pi\)
0.468055 + 0.883699i \(0.344955\pi\)
\(138\) −9.95806e9 1.72479e10i −2.33732 4.04836i
\(139\) 2.55069e9 4.41792e9i 0.579549 1.00381i −0.415982 0.909373i \(-0.636562\pi\)
0.995531 0.0944358i \(-0.0301047\pi\)
\(140\) −1.29436e10 −2.84760
\(141\) 2.95774e9 5.12296e9i 0.630194 1.09153i
\(142\) −2.39742e9 4.15244e9i −0.494818 0.857050i
\(143\) −1.74640e9 3.02485e9i −0.349246 0.604912i
\(144\) 7.59138e8 + 1.31487e9i 0.147126 + 0.254830i
\(145\) 5.66088e9 1.06348
\(146\) 1.25858e9 + 2.17993e9i 0.229242 + 0.397059i
\(147\) −5.86102e9 1.01516e10i −1.03525 1.79310i
\(148\) −6.38433e9 + 1.10580e10i −1.09380 + 1.89452i
\(149\) −4.24378e9 + 7.35045e9i −0.705366 + 1.22173i 0.261193 + 0.965287i \(0.415884\pi\)
−0.966559 + 0.256444i \(0.917449\pi\)
\(150\) −1.02619e10 −1.65507
\(151\) −5.76939e8 −0.0903095 −0.0451548 0.998980i \(-0.514378\pi\)
−0.0451548 + 0.998980i \(0.514378\pi\)
\(152\) 2.59226e9 4.48993e9i 0.393897 0.682250i
\(153\) −7.16169e9 + 1.24044e10i −1.05658 + 1.83006i
\(154\) 9.31565e9 + 1.61352e10i 1.33466 + 2.31170i
\(155\) 4.37606e9 + 7.57956e9i 0.608963 + 1.05476i
\(156\) −1.29448e10 −1.74998
\(157\) 3.02528e8 + 5.23993e8i 0.0397390 + 0.0688299i 0.885211 0.465190i \(-0.154014\pi\)
−0.845472 + 0.534020i \(0.820681\pi\)
\(158\) 7.10196e8 + 1.23009e9i 0.0906611 + 0.157030i
\(159\) −1.02110e10 1.76860e10i −1.26702 2.19454i
\(160\) −5.68390e9 + 9.84481e9i −0.685657 + 1.18759i
\(161\) 1.97983e10 2.32226
\(162\) 1.56938e10 2.71825e10i 1.79024 3.10078i
\(163\) −4.38288e9 7.59137e9i −0.486312 0.842317i 0.513564 0.858051i \(-0.328325\pi\)
−0.999876 + 0.0157339i \(0.994992\pi\)
\(164\) 1.57057e10 1.69535
\(165\) 1.24893e10 + 2.16321e10i 1.31178 + 2.27207i
\(166\) −1.37219e10 + 2.37671e10i −1.40258 + 2.42934i
\(167\) 3.25985e9 5.64623e9i 0.324320 0.561739i −0.657054 0.753843i \(-0.728198\pi\)
0.981375 + 0.192104i \(0.0615312\pi\)
\(168\) 2.48154e10 2.40342
\(169\) 3.32335e9 5.75620e9i 0.313390 0.542808i
\(170\) −1.94509e10 −1.78615
\(171\) 2.32281e10 2.07745
\(172\) −1.42530e10 + 1.08578e10i −1.24174 + 0.945937i
\(173\) −1.55926e10 −1.32346 −0.661732 0.749740i \(-0.730178\pi\)
−0.661732 + 0.749740i \(0.730178\pi\)
\(174\) −3.01990e10 −2.49759
\(175\) 5.10057e9 8.83444e9i 0.411100 0.712046i
\(176\) 1.80894e9 0.142108
\(177\) 2.88722e9 5.00082e9i 0.221106 0.382967i
\(178\) 9.37005e9 1.62294e10i 0.699604 1.21175i
\(179\) −6.21179e9 1.07591e10i −0.452249 0.783319i 0.546276 0.837605i \(-0.316045\pi\)
−0.998525 + 0.0542864i \(0.982712\pi\)
\(180\) 6.50832e10 4.62107
\(181\) 7.75827e9 + 1.34377e10i 0.537293 + 0.930619i 0.999049 + 0.0436120i \(0.0138865\pi\)
−0.461755 + 0.887007i \(0.652780\pi\)
\(182\) 1.05559e10 1.82833e10i 0.713137 1.23519i
\(183\) 7.38424e9 0.486716
\(184\) −1.11098e10 + 1.92428e10i −0.714541 + 1.23762i
\(185\) −1.39595e10 2.41786e10i −0.876188 1.51760i
\(186\) −2.33450e10 4.04346e10i −1.43016 2.47711i
\(187\) 8.53277e9 + 1.47792e10i 0.510273 + 0.883820i
\(188\) −1.83639e10 −1.07215
\(189\) 3.21089e10 + 5.56143e10i 1.83041 + 3.17036i
\(190\) 1.57716e10 + 2.73173e10i 0.877982 + 1.52071i
\(191\) −1.25987e10 + 2.18217e10i −0.684978 + 1.18642i 0.288465 + 0.957490i \(0.406855\pi\)
−0.973444 + 0.228927i \(0.926478\pi\)
\(192\) 2.81745e10 4.87996e10i 1.49624 2.59156i
\(193\) 3.06790e10 1.59160 0.795800 0.605560i \(-0.207051\pi\)
0.795800 + 0.605560i \(0.207051\pi\)
\(194\) 9.36268e9 0.474562
\(195\) 1.41521e10 2.45121e10i 0.700912 1.21402i
\(196\) −1.81948e10 + 3.15144e10i −0.880635 + 1.52530i
\(197\) 1.15231e10 + 1.99586e10i 0.545095 + 0.944133i 0.998601 + 0.0528792i \(0.0168398\pi\)
−0.453506 + 0.891253i \(0.649827\pi\)
\(198\) −4.68411e10 8.11312e10i −2.16588 3.75141i
\(199\) 6.78696e8 0.0306787 0.0153393 0.999882i \(-0.495117\pi\)
0.0153393 + 0.999882i \(0.495117\pi\)
\(200\) 5.72438e9 + 9.91492e9i 0.252984 + 0.438182i
\(201\) 5.74530e9 + 9.95115e9i 0.248274 + 0.430022i
\(202\) −2.08759e10 3.61581e10i −0.882194 1.52800i
\(203\) 1.50102e10 2.59984e10i 0.620373 1.07452i
\(204\) 6.32472e10 2.55685
\(205\) −1.71704e10 + 2.97401e10i −0.679030 + 1.17611i
\(206\) −1.86027e10 3.22208e10i −0.719736 1.24662i
\(207\) −9.95500e10 −3.76855
\(208\) −1.02489e9 1.77516e9i −0.0379657 0.0657585i
\(209\) 1.38375e10 2.39673e10i 0.501649 0.868881i
\(210\) −7.54899e10 + 1.30752e11i −2.67856 + 4.63941i
\(211\) −3.09326e10 −1.07435 −0.537174 0.843472i \(-0.680508\pi\)
−0.537174 + 0.843472i \(0.680508\pi\)
\(212\) −3.16990e10 + 5.49042e10i −1.07779 + 1.86679i
\(213\) −3.40902e10 −1.13481
\(214\) 3.27999e10 1.06908
\(215\) −4.97780e9 3.88597e10i −0.158878 1.24030i
\(216\) −7.20719e10 −2.25281
\(217\) 4.64136e10 1.42094
\(218\) −6.75529e9 + 1.17005e10i −0.202577 + 0.350873i
\(219\) 1.78965e10 0.525740
\(220\) 3.87716e10 6.71544e10i 1.11587 1.93274i
\(221\) 9.66877e9 1.67468e10i 0.272650 0.472244i
\(222\) 7.44697e10 + 1.28985e11i 2.05774 + 3.56411i
\(223\) 2.20681e10 0.597575 0.298788 0.954320i \(-0.403418\pi\)
0.298788 + 0.954320i \(0.403418\pi\)
\(224\) 3.01424e10 + 5.22082e10i 0.799949 + 1.38555i
\(225\) −2.56468e10 + 4.44215e10i −0.667131 + 1.15551i
\(226\) 5.97225e10 1.52282
\(227\) −5.75508e9 + 9.96809e9i −0.143858 + 0.249170i −0.928946 0.370214i \(-0.879284\pi\)
0.785088 + 0.619384i \(0.212618\pi\)
\(228\) −5.12836e10 8.88259e10i −1.25682 2.17687i
\(229\) −8.11288e9 1.40519e10i −0.194947 0.337657i 0.751936 0.659236i \(-0.229120\pi\)
−0.946883 + 0.321578i \(0.895787\pi\)
\(230\) −6.75935e10 1.17075e11i −1.59268 2.75861i
\(231\) 1.32465e11 3.06088
\(232\) 1.68459e10 + 2.91780e10i 0.381768 + 0.661242i
\(233\) −3.92958e10 6.80624e10i −0.873463 1.51288i −0.858391 0.512997i \(-0.828535\pi\)
−0.0150727 0.999886i \(-0.504798\pi\)
\(234\) −5.30772e10 + 9.19325e10i −1.15728 + 2.00446i
\(235\) 2.00766e10 3.47737e10i 0.429422 0.743781i
\(236\) −1.79261e10 −0.376168
\(237\) 1.00987e10 0.207920
\(238\) −5.15752e10 + 8.93308e10i −1.04194 + 1.80470i
\(239\) −1.21079e10 + 2.09715e10i −0.240038 + 0.415757i −0.960725 0.277503i \(-0.910493\pi\)
0.720687 + 0.693260i \(0.243826\pi\)
\(240\) 7.32944e9 + 1.26950e10i 0.142600 + 0.246991i
\(241\) −3.43135e9 5.94327e9i −0.0655221 0.113488i 0.831403 0.555669i \(-0.187538\pi\)
−0.896925 + 0.442182i \(0.854205\pi\)
\(242\) −2.62341e10 −0.491696
\(243\) −4.33835e10 7.51425e10i −0.798173 1.38248i
\(244\) −1.14618e10 1.98523e10i −0.207013 0.358556i
\(245\) −3.97835e10 6.89070e10i −0.705432 1.22184i
\(246\) 9.15990e10 1.58654e11i 1.59471 2.76213i
\(247\) −3.13595e10 −0.536083
\(248\) −2.60451e10 + 4.51114e10i −0.437213 + 0.757275i
\(249\) 9.75600e10 + 1.68979e11i 1.60833 + 2.78571i
\(250\) 5.39378e10 0.873299
\(251\) −5.11616e10 8.86145e10i −0.813603 1.40920i −0.910327 0.413891i \(-0.864170\pi\)
0.0967236 0.995311i \(-0.469164\pi\)
\(252\) 1.72572e11 2.98904e11i 2.69568 4.66905i
\(253\) −5.93042e10 + 1.02718e11i −0.910004 + 1.57617i
\(254\) −9.59703e10 −1.44672
\(255\) −6.91458e10 + 1.19764e11i −1.02408 + 1.77376i
\(256\) −5.43251e10 −0.790535
\(257\) 1.01818e11 1.45587 0.727937 0.685644i \(-0.240480\pi\)
0.727937 + 0.685644i \(0.240480\pi\)
\(258\) 2.65550e10 + 2.07305e11i 0.373128 + 2.91287i
\(259\) −1.48058e11 −2.04448
\(260\) −8.78668e10 −1.19246
\(261\) −7.54743e10 + 1.30725e11i −1.00674 + 1.74372i
\(262\) 1.73704e11 2.27748
\(263\) −2.71812e10 + 4.70792e10i −0.350322 + 0.606775i −0.986306 0.164927i \(-0.947261\pi\)
0.635984 + 0.771702i \(0.280594\pi\)
\(264\) −7.43328e10 + 1.28748e11i −0.941809 + 1.63126i
\(265\) −6.93106e10 1.20050e11i −0.863363 1.49539i
\(266\) 1.67278e11 2.04866
\(267\) −6.66191e10 1.15388e11i −0.802229 1.38950i
\(268\) 1.78356e10 3.08922e10i 0.211194 0.365799i
\(269\) 6.91762e10 0.805511 0.402756 0.915308i \(-0.368052\pi\)
0.402756 + 0.915308i \(0.368052\pi\)
\(270\) 2.19247e11 3.79747e11i 2.51071 4.34868i
\(271\) −5.01781e10 8.69111e10i −0.565136 0.978844i −0.997037 0.0769230i \(-0.975490\pi\)
0.431901 0.901921i \(-0.357843\pi\)
\(272\) 5.00752e9 + 8.67328e9i 0.0554706 + 0.0960778i
\(273\) −7.50500e10 1.29990e11i −0.817747 1.41638i
\(274\) −1.39768e11 −1.49807
\(275\) 3.05568e10 + 5.29259e10i 0.322189 + 0.558047i
\(276\) 2.19789e11 + 3.80686e11i 2.27990 + 3.94890i
\(277\) 8.42440e9 1.45915e10i 0.0859765 0.148916i −0.819830 0.572606i \(-0.805932\pi\)
0.905807 + 0.423691i \(0.139266\pi\)
\(278\) −9.23626e10 + 1.59977e11i −0.927459 + 1.60641i
\(279\) −2.33378e11 −2.30590
\(280\) 1.68442e11 1.63772
\(281\) 7.73070e10 1.33900e11i 0.739674 1.28115i −0.212968 0.977059i \(-0.568313\pi\)
0.952642 0.304094i \(-0.0983535\pi\)
\(282\) −1.07102e11 + 1.85507e11i −1.00851 + 1.74678i
\(283\) 6.97801e10 + 1.20863e11i 0.646684 + 1.12009i 0.983910 + 0.178666i \(0.0571783\pi\)
−0.337225 + 0.941424i \(0.609488\pi\)
\(284\) 5.29146e10 + 9.16507e10i 0.482662 + 0.835994i
\(285\) 2.24266e11 2.01355
\(286\) 6.32387e10 + 1.09533e11i 0.558902 + 0.968047i
\(287\) 9.10569e10 + 1.57715e11i 0.792217 + 1.37216i
\(288\) −1.51563e11 2.62514e11i −1.29815 2.24847i
\(289\) 1.20531e10 2.08766e10i 0.101639 0.176043i
\(290\) −2.04985e11 −1.70189
\(291\) 3.32834e10 5.76485e10i 0.272088 0.471270i
\(292\) −2.77789e10 4.81144e10i −0.223610 0.387304i
\(293\) −9.01985e10 −0.714982 −0.357491 0.933917i \(-0.616368\pi\)
−0.357491 + 0.933917i \(0.616368\pi\)
\(294\) 2.12233e11 + 3.67598e11i 1.65672 + 2.86952i
\(295\) 1.95979e10 3.39446e10i 0.150665 0.260959i
\(296\) 8.30829e10 1.43904e11i 0.629070 1.08958i
\(297\) −3.84720e11 −2.86907
\(298\) 1.53671e11 2.66166e11i 1.12881 1.95515i
\(299\) 1.34399e11 0.972470
\(300\) 2.26495e11 1.61441
\(301\) −1.91668e11 8.01777e10i −1.34586 0.562995i
\(302\) 2.08915e10 0.144523
\(303\) −2.96847e11 −2.02321
\(304\) 8.12064e9 1.40654e10i 0.0545330 0.0944539i
\(305\) 5.01229e10 0.331655
\(306\) 2.59331e11 4.49175e11i 1.69086 2.92866i
\(307\) 5.67334e10 9.82651e10i 0.364516 0.631359i −0.624183 0.781278i \(-0.714568\pi\)
0.988698 + 0.149919i \(0.0479013\pi\)
\(308\) −2.05611e11 3.56128e11i −1.30187 2.25490i
\(309\) −2.64522e11 −1.65063
\(310\) −1.58461e11 2.74463e11i −0.974530 1.68794i
\(311\) −1.44547e11 + 2.50363e11i −0.876168 + 1.51757i −0.0206553 + 0.999787i \(0.506575\pi\)
−0.855513 + 0.517781i \(0.826758\pi\)
\(312\) 1.68458e11 1.00646
\(313\) 1.20961e10 2.09511e10i 0.0712357 0.123384i −0.828207 0.560422i \(-0.810639\pi\)
0.899443 + 0.437038i \(0.143972\pi\)
\(314\) −1.09548e10 1.89743e10i −0.0635947 0.110149i
\(315\) 3.77333e11 + 6.53561e11i 2.15937 + 3.74015i
\(316\) −1.56751e10 2.71501e10i −0.0884338 0.153172i
\(317\) 1.89656e11 1.05487 0.527435 0.849596i \(-0.323154\pi\)
0.527435 + 0.849596i \(0.323154\pi\)
\(318\) 3.69751e11 + 6.40427e11i 2.02762 + 3.51195i
\(319\) 8.99237e10 + 1.55752e11i 0.486201 + 0.842125i
\(320\) 1.91243e11 3.31243e11i 1.01955 1.76592i
\(321\) 1.16600e11 2.01957e11i 0.612952 1.06166i
\(322\) −7.16913e11 −3.71633
\(323\) 1.53220e11 0.783256
\(324\) −3.46386e11 + 5.99958e11i −1.74625 + 3.02460i
\(325\) 3.46249e10 5.99720e10i 0.172152 0.298177i
\(326\) 1.58708e11 + 2.74890e11i 0.778251 + 1.34797i
\(327\) 4.80287e10 + 8.31882e10i 0.232293 + 0.402343i
\(328\) −2.04387e11 −0.975036
\(329\) −1.06469e11 1.84409e11i −0.501003 0.867762i
\(330\) −4.52249e11 7.83319e11i −2.09925 3.63602i
\(331\) 1.35784e10 + 2.35185e10i 0.0621759 + 0.107692i 0.895438 0.445187i \(-0.146863\pi\)
−0.833262 + 0.552879i \(0.813529\pi\)
\(332\) 3.02863e11 5.24575e11i 1.36812 2.36966i
\(333\) 7.44467e11 3.31777
\(334\) −1.18042e11 + 2.04455e11i −0.519013 + 0.898957i
\(335\) 3.89980e10 + 6.75466e10i 0.169177 + 0.293023i
\(336\) 7.77379e10 0.332741
\(337\) 2.24359e10 + 3.88602e10i 0.0947567 + 0.164123i 0.909507 0.415689i \(-0.136459\pi\)
−0.814750 + 0.579812i \(0.803126\pi\)
\(338\) −1.20341e11 + 2.08437e11i −0.501522 + 0.868661i
\(339\) 2.12307e11 3.67727e11i 0.873104 1.51226i
\(340\) 4.29310e11 1.74227
\(341\) −1.39029e11 + 2.40805e11i −0.556813 + 0.964428i
\(342\) −8.41109e11 −3.32457
\(343\) −4.79806e10 −0.187172
\(344\) 1.85483e11 1.41298e11i 0.714152 0.544031i
\(345\) −9.61151e11 −3.65263
\(346\) 5.64624e11 2.11795
\(347\) 2.52825e11 4.37905e11i 0.936132 1.62143i 0.163529 0.986539i \(-0.447712\pi\)
0.772603 0.634890i \(-0.218954\pi\)
\(348\) 6.66538e11 2.43623
\(349\) 2.15743e11 3.73678e11i 0.778435 1.34829i −0.154409 0.988007i \(-0.549347\pi\)
0.932844 0.360281i \(-0.117319\pi\)
\(350\) −1.84696e11 + 3.19903e11i −0.657887 + 1.13949i
\(351\) 2.17969e11 + 3.77534e11i 0.766502 + 1.32762i
\(352\) −3.61158e11 −1.25388
\(353\) 6.53310e9 + 1.13157e10i 0.0223941 + 0.0387877i 0.877005 0.480481i \(-0.159538\pi\)
−0.854611 + 0.519268i \(0.826204\pi\)
\(354\) −1.04549e11 + 1.81084e11i −0.353839 + 0.612866i
\(355\) −2.31398e11 −0.773272
\(356\) −2.06811e11 + 3.58208e11i −0.682416 + 1.18198i
\(357\) 3.66689e11 + 6.35123e11i 1.19479 + 2.06943i
\(358\) 2.24934e11 + 3.89598e11i 0.723739 + 1.25355i
\(359\) 1.11668e11 + 1.93414e11i 0.354815 + 0.614558i 0.987086 0.160189i \(-0.0512104\pi\)
−0.632271 + 0.774747i \(0.717877\pi\)
\(360\) −8.46965e11 −2.65769
\(361\) 3.71063e10 + 6.42700e10i 0.114991 + 0.199171i
\(362\) −2.80934e11 4.86592e11i −0.859836 1.48928i
\(363\) −9.32594e10 + 1.61530e11i −0.281911 + 0.488285i
\(364\) −2.32984e11 + 4.03540e11i −0.695617 + 1.20484i
\(365\) 1.21478e11 0.358246
\(366\) −2.67390e11 −0.778898
\(367\) 9.73403e10 1.68598e11i 0.280089 0.485128i −0.691318 0.722551i \(-0.742969\pi\)
0.971406 + 0.237423i \(0.0763028\pi\)
\(368\) −3.48031e10 + 6.02808e10i −0.0989243 + 0.171342i
\(369\) −4.57854e11 7.93026e11i −1.28561 2.22674i
\(370\) 5.05486e11 + 8.75528e11i 1.40217 + 2.42863i
\(371\) −7.35125e11 −2.01455
\(372\) 5.15258e11 + 8.92454e11i 1.39502 + 2.41625i
\(373\) −1.93723e11 3.35539e11i −0.518194 0.897538i −0.999777 0.0211371i \(-0.993271\pi\)
0.481583 0.876400i \(-0.340062\pi\)
\(374\) −3.08979e11 5.35168e11i −0.816596 1.41439i
\(375\) 1.91743e11 3.32109e11i 0.500702 0.867241i
\(376\) 2.38980e11 0.616618
\(377\) 1.01895e11 1.76488e11i 0.259788 0.449966i
\(378\) −1.16269e12 2.01384e12i −2.92922 5.07356i
\(379\) −2.34205e11 −0.583069 −0.291535 0.956560i \(-0.594166\pi\)
−0.291535 + 0.956560i \(0.594166\pi\)
\(380\) −3.48104e11 6.02933e11i −0.856412 1.48335i
\(381\) −3.41164e11 + 5.90914e11i −0.829471 + 1.43669i
\(382\) 4.56212e11 7.90182e11i 1.09618 1.89864i
\(383\) −6.00189e11 −1.42526 −0.712630 0.701541i \(-0.752496\pi\)
−0.712630 + 0.701541i \(0.752496\pi\)
\(384\) −5.91490e11 + 1.02449e12i −1.38822 + 2.40446i
\(385\) 8.99146e11 2.08572
\(386\) −1.11092e12 −2.54705
\(387\) 9.63747e11 + 4.03151e11i 2.18406 + 0.913626i
\(388\) −2.06649e11 −0.462903
\(389\) 2.43946e11 0.540159 0.270079 0.962838i \(-0.412950\pi\)
0.270079 + 0.962838i \(0.412950\pi\)
\(390\) −5.12458e11 + 8.87604e11i −1.12168 + 1.94280i
\(391\) −6.56664e11 −1.42085
\(392\) 2.36780e11 4.10115e11i 0.506474 0.877239i
\(393\) 6.17501e11 1.06954e12i 1.30578 2.26168i
\(394\) −4.17263e11 7.22720e11i −0.872322 1.51091i
\(395\) 6.85480e10 0.141680
\(396\) 1.03385e12 + 1.79069e12i 2.11267 + 3.65925i
\(397\) 1.12168e11 1.94281e11i 0.226627 0.392530i −0.730179 0.683256i \(-0.760563\pi\)
0.956806 + 0.290726i \(0.0938968\pi\)
\(398\) −2.45762e10 −0.0490954
\(399\) 5.94655e11 1.02997e12i 1.17459 2.03445i
\(400\) 1.79325e10 + 3.10599e10i 0.0350243 + 0.0606639i
\(401\) 3.75387e11 + 6.50189e11i 0.724986 + 1.25571i 0.958980 + 0.283474i \(0.0914870\pi\)
−0.233994 + 0.972238i \(0.575180\pi\)
\(402\) −2.08042e11 3.60340e11i −0.397315 0.688169i
\(403\) 3.15076e11 0.595035
\(404\) 4.60763e11 + 7.98064e11i 0.860520 + 1.49046i
\(405\) −7.57382e11 1.31182e12i −1.39884 2.42286i
\(406\) −5.43531e11 + 9.41424e11i −0.992790 + 1.71956i
\(407\) 4.43497e11 7.68159e11i 0.801153 1.38764i
\(408\) −8.23072e11 −1.47051
\(409\) −1.29132e11 −0.228180 −0.114090 0.993470i \(-0.536395\pi\)
−0.114090 + 0.993470i \(0.536395\pi\)
\(410\) 6.21757e11 1.07691e12i 1.08666 1.88215i
\(411\) −4.96862e11 + 8.60590e11i −0.858909 + 1.48767i
\(412\) 4.10589e11 + 7.11161e11i 0.702053 + 1.21599i
\(413\) −1.03930e11 1.80013e11i −0.175779 0.304458i
\(414\) 3.60479e12 6.03085
\(415\) 6.62219e11 + 1.14700e12i 1.09594 + 1.89822i
\(416\) 2.04620e11 + 3.54412e11i 0.334987 + 0.580214i
\(417\) 6.56679e11 + 1.13740e12i 1.06351 + 1.84205i
\(418\) −5.01069e11 + 8.67876e11i −0.802794 + 1.39048i
\(419\) −4.00440e11 −0.634708 −0.317354 0.948307i \(-0.602794\pi\)
−0.317354 + 0.948307i \(0.602794\pi\)
\(420\) 1.66618e12 2.88590e12i 2.61276 4.52543i
\(421\) −4.81596e10 8.34148e10i −0.0747159 0.129412i 0.826247 0.563308i \(-0.190472\pi\)
−0.900963 + 0.433897i \(0.857138\pi\)
\(422\) 1.12010e12 1.71929
\(423\) 5.35347e11 + 9.27249e11i 0.813025 + 1.40820i
\(424\) 4.12517e11 7.14500e11i 0.619862 1.07363i
\(425\) −1.69174e11 + 2.93019e11i −0.251527 + 0.435657i
\(426\) 1.23444e12 1.81604
\(427\) 1.32904e11 2.30196e11i 0.193469 0.335099i
\(428\) −7.23942e11 −1.04281
\(429\) 8.99228e11 1.28178
\(430\) 1.80251e11 + 1.40715e12i 0.254255 + 1.98487i
\(431\) −7.31341e10 −0.102087 −0.0510437 0.998696i \(-0.516255\pi\)
−0.0510437 + 0.998696i \(0.516255\pi\)
\(432\) −2.25776e11 −0.311889
\(433\) 1.05912e9 1.83445e9i 0.00144794 0.00250790i −0.865301 0.501253i \(-0.832872\pi\)
0.866748 + 0.498746i \(0.166206\pi\)
\(434\) −1.68068e12 −2.27395
\(435\) −7.28702e11 + 1.26215e12i −0.975771 + 1.69009i
\(436\) 1.49099e11 2.58248e11i 0.197600 0.342253i
\(437\) 5.32452e11 + 9.22235e11i 0.698416 + 1.20969i
\(438\) −6.48050e11 −0.841347
\(439\) 2.99450e11 + 5.18662e11i 0.384798 + 0.666490i 0.991741 0.128255i \(-0.0409376\pi\)
−0.606943 + 0.794746i \(0.707604\pi\)
\(440\) −5.04557e11 + 8.73918e11i −0.641761 + 1.11156i
\(441\) 2.12167e12 2.67119
\(442\) −3.50115e11 + 6.06416e11i −0.436325 + 0.755737i
\(443\) −4.74283e10 8.21483e10i −0.0585088 0.101340i 0.835287 0.549814i \(-0.185301\pi\)
−0.893796 + 0.448473i \(0.851968\pi\)
\(444\) −1.64366e12 2.84690e12i −2.00719 3.47655i
\(445\) −4.52198e11 7.83230e11i −0.546649 0.946824i
\(446\) −7.99105e11 −0.956306
\(447\) −1.09257e12 1.89239e12i −1.29439 2.24195i
\(448\) −1.01418e12 1.75662e12i −1.18950 2.06028i
\(449\) −4.72711e11 + 8.18760e11i −0.548893 + 0.950710i 0.449458 + 0.893301i \(0.351617\pi\)
−0.998351 + 0.0574084i \(0.981716\pi\)
\(450\) 9.28692e11 1.60854e12i 1.06762 1.84917i
\(451\) −1.09102e12 −1.24176
\(452\) −1.31817e12 −1.48541
\(453\) 7.42670e10 1.28634e11i 0.0828617 0.143521i
\(454\) 2.08397e11 3.60953e11i 0.230218 0.398749i
\(455\) −5.09426e11 8.82351e11i −0.557224 0.965140i
\(456\) 6.67383e11 + 1.15594e12i 0.722826 + 1.25197i
\(457\) −6.78564e10 −0.0727726 −0.0363863 0.999338i \(-0.511585\pi\)
−0.0363863 + 0.999338i \(0.511585\pi\)
\(458\) 2.93775e11 + 5.08833e11i 0.311975 + 0.540357i
\(459\) −1.06498e12 1.84460e12i −1.11991 1.93975i
\(460\) 1.49189e12 + 2.58403e12i 1.55355 + 2.69083i
\(461\) −4.13168e11 + 7.15628e11i −0.426062 + 0.737961i −0.996519 0.0833665i \(-0.973433\pi\)
0.570457 + 0.821327i \(0.306766\pi\)
\(462\) −4.79667e12 −4.89836
\(463\) 2.71050e11 4.69472e11i 0.274116 0.474783i −0.695796 0.718240i \(-0.744948\pi\)
0.969912 + 0.243457i \(0.0782814\pi\)
\(464\) 5.27724e10 + 9.14044e10i 0.0528537 + 0.0915453i
\(465\) −2.25325e12 −2.23497
\(466\) 1.42294e12 + 2.46460e12i 1.39781 + 2.42108i
\(467\) 3.03472e11 5.25629e11i 0.295252 0.511391i −0.679792 0.733405i \(-0.737930\pi\)
0.975043 + 0.222014i \(0.0712632\pi\)
\(468\) 1.17149e12 2.02909e12i 1.12884 1.95522i
\(469\) 4.13622e11 0.394754
\(470\) −7.26992e11 + 1.25919e12i −0.687209 + 1.19028i
\(471\) −1.55773e11 −0.145847
\(472\) 2.33283e11 0.216343
\(473\) 9.90107e11 7.54250e11i 0.909509 0.692851i
\(474\) −3.65682e11 −0.332737
\(475\) 5.48697e11 0.494551
\(476\) 1.13834e12 1.97167e12i 1.01635 1.76036i
\(477\) 3.69637e12 3.26921
\(478\) 4.38439e11 7.59398e11i 0.384135 0.665341i
\(479\) 3.77176e11 6.53288e11i 0.327367 0.567016i −0.654622 0.755957i \(-0.727172\pi\)
0.981988 + 0.188941i \(0.0605054\pi\)
\(480\) −1.46333e12 2.53456e12i −1.25822 2.17930i
\(481\) −1.00508e12 −0.856147
\(482\) 1.24252e11 + 2.15211e11i 0.104856 + 0.181615i
\(483\) −2.54855e12 + 4.41422e12i −2.13074 + 3.69055i
\(484\) 5.79026e11 0.479616
\(485\) 2.25921e11 3.91307e11i 0.185404 0.321129i
\(486\) 1.57096e12 + 2.72098e12i 1.27732 + 2.21239i
\(487\) −4.45830e11 7.72200e11i −0.359161 0.622085i 0.628660 0.777680i \(-0.283604\pi\)
−0.987821 + 0.155596i \(0.950270\pi\)
\(488\) 1.49158e11 + 2.58350e11i 0.119058 + 0.206214i
\(489\) 2.25676e12 1.78482
\(490\) 1.44060e12 + 2.49519e12i 1.12891 + 1.95533i
\(491\) 5.99269e10 + 1.03796e11i 0.0465323 + 0.0805964i 0.888353 0.459160i \(-0.151850\pi\)
−0.841821 + 0.539757i \(0.818516\pi\)
\(492\) −2.02173e12 + 3.50174e12i −1.55553 + 2.69427i
\(493\) −4.97853e11 + 8.62307e11i −0.379569 + 0.657432i
\(494\) 1.13555e12 0.857900
\(495\) −4.52110e12 −3.38470
\(496\) −8.15899e10 + 1.41318e11i −0.0605298 + 0.104841i
\(497\) −6.13566e11 + 1.06273e12i −0.451084 + 0.781301i
\(498\) −3.53273e12 6.11887e12i −2.57382 4.45799i
\(499\) −4.68827e11 8.12033e11i −0.338501 0.586302i 0.645650 0.763634i \(-0.276587\pi\)
−0.984151 + 0.177332i \(0.943253\pi\)
\(500\) −1.19049e12 −0.851844
\(501\) 8.39255e11 + 1.45363e12i 0.595147 + 1.03083i
\(502\) 1.85261e12 + 3.20881e12i 1.30202 + 2.25516i
\(503\) 4.60404e11 + 7.97443e11i 0.320688 + 0.555448i 0.980630 0.195868i \(-0.0627525\pi\)
−0.659942 + 0.751317i \(0.729419\pi\)
\(504\) −2.24578e12 + 3.88980e12i −1.55035 + 2.68528i
\(505\) −2.01494e12 −1.37864
\(506\) 2.14746e12 3.71951e12i 1.45629 2.52237i
\(507\) 8.55602e11 + 1.48195e12i 0.575090 + 0.996085i
\(508\) 2.11821e12 1.41118
\(509\) −4.76516e11 8.25351e11i −0.314665 0.545015i 0.664702 0.747109i \(-0.268559\pi\)
−0.979366 + 0.202094i \(0.935225\pi\)
\(510\) 2.50383e12 4.33676e12i 1.63885 2.83857i
\(511\) 3.22107e11 5.57906e11i 0.208981 0.361965i
\(512\) −3.85455e11 −0.247890
\(513\) −1.72707e12 + 2.99137e12i −1.10099 + 1.90696i
\(514\) −3.68690e12 −2.32985
\(515\) −1.79553e12 −1.12476
\(516\) −5.86110e11 4.57553e12i −0.363961 2.84130i
\(517\) 1.27568e12 0.785295
\(518\) 5.36131e12 3.27180
\(519\) 2.00718e12 3.47653e12i 1.21432 2.10326i
\(520\) 1.14346e12 0.685814
\(521\) 3.85457e11 6.67630e11i 0.229195 0.396978i −0.728375 0.685179i \(-0.759724\pi\)
0.957570 + 0.288201i \(0.0930572\pi\)
\(522\) 2.73299e12 4.73368e12i 1.61110 2.79050i
\(523\) −8.87213e11 1.53670e12i −0.518526 0.898113i −0.999768 0.0215255i \(-0.993148\pi\)
0.481243 0.876587i \(-0.340186\pi\)
\(524\) −3.83392e12 −2.22153
\(525\) 1.31315e12 + 2.27444e12i 0.754393 + 1.30665i
\(526\) 9.84255e11 1.70478e12i 0.560624 0.971029i
\(527\) −1.53943e12 −0.869388
\(528\) −2.32858e11 + 4.03322e11i −0.130388 + 0.225839i
\(529\) −1.38139e12 2.39263e12i −0.766946 1.32839i
\(530\) 2.50980e12 + 4.34710e12i 1.38165 + 2.39309i
\(531\) 5.22584e11 + 9.05142e11i 0.285253 + 0.494073i
\(532\) −3.69207e12 −1.99833
\(533\) 6.18134e11 + 1.07064e12i 0.331749 + 0.574607i
\(534\) 2.41234e12 + 4.17829e12i 1.28382 + 2.22363i
\(535\) 7.91460e11 1.37085e12i 0.417673 0.723431i
\(536\) −2.32105e11 + 4.02018e11i −0.121463 + 0.210380i
\(537\) 3.19847e12 1.65981
\(538\) −2.50493e12 −1.28907
\(539\) 1.26393e12 2.18919e12i 0.645021 1.11721i
\(540\) −4.83911e12 + 8.38159e12i −2.44903 + 4.24184i
\(541\) 1.06619e12 + 1.84669e12i 0.535113 + 0.926844i 0.999158 + 0.0410318i \(0.0130645\pi\)
−0.464044 + 0.885812i \(0.653602\pi\)
\(542\) 1.81700e12 + 3.14713e12i 0.904393 + 1.56645i
\(543\) −3.99476e12 −1.97193
\(544\) −9.99757e11 1.73163e12i −0.489440 0.847735i
\(545\) 3.26010e11 + 5.64666e11i 0.158287 + 0.274162i
\(546\) 2.71763e12 + 4.70707e12i 1.30865 + 2.26665i
\(547\) 1.39261e12 2.41208e12i 0.665102 1.15199i −0.314156 0.949371i \(-0.601722\pi\)
0.979258 0.202619i \(-0.0649451\pi\)
\(548\) 3.08490e12 1.46126
\(549\) −6.68269e11 + 1.15748e12i −0.313961 + 0.543797i
\(550\) −1.10649e12 1.91649e12i −0.515602 0.893049i
\(551\) 1.61473e12 0.746306
\(552\) −2.86025e12 4.95409e12i −1.31123 2.27111i
\(553\) 1.81759e11 3.14816e11i 0.0826482 0.143151i
\(554\) −3.05055e11 + 5.28371e11i −0.137589 + 0.238311i
\(555\) 7.18780e12 3.21572
\(556\) 2.03858e12 3.53093e12i 0.904673 1.56694i
\(557\) 3.67332e10 0.0161700 0.00808501 0.999967i \(-0.497426\pi\)
0.00808501 + 0.999967i \(0.497426\pi\)
\(558\) 8.45082e12 3.69016
\(559\) −1.30112e12 5.44281e11i −0.563593 0.235760i
\(560\) 5.27670e11 0.226734
\(561\) −4.39356e12 −1.87277
\(562\) −2.79936e12 + 4.84863e12i −1.18371 + 2.05024i
\(563\) 7.71539e11 0.323646 0.161823 0.986820i \(-0.448263\pi\)
0.161823 + 0.986820i \(0.448263\pi\)
\(564\) 2.36391e12 4.09442e12i 0.983729 1.70387i
\(565\) 1.44110e12 2.49606e12i 0.594945 1.03047i
\(566\) −2.52680e12 4.37654e12i −1.03490 1.79249i
\(567\) −8.03298e12 −3.26402
\(568\) −6.88608e11 1.19270e12i −0.277590 0.480800i
\(569\) 5.11572e11 8.86069e11i 0.204598 0.354374i −0.745407 0.666610i \(-0.767745\pi\)
0.950005 + 0.312236i \(0.101078\pi\)
\(570\) −8.12088e12 −3.22230
\(571\) 6.26032e11 1.08432e12i 0.246453 0.426869i −0.716086 0.698012i \(-0.754068\pi\)
0.962539 + 0.271143i \(0.0874016\pi\)
\(572\) −1.39577e12 2.41755e12i −0.545171 0.944264i
\(573\) −3.24357e12 5.61803e12i −1.25698 2.17715i
\(574\) −3.29725e12 5.71101e12i −1.26779 2.19588i
\(575\) −2.35158e12 −0.897129
\(576\) 5.09954e12 + 8.83267e12i 1.93032 + 3.34342i
\(577\) −8.75701e11 1.51676e12i −0.328901 0.569673i 0.653393 0.757019i \(-0.273345\pi\)
−0.982294 + 0.187346i \(0.940011\pi\)
\(578\) −4.36454e11 + 7.55961e11i −0.162653 + 0.281724i
\(579\) −3.94919e12 + 6.84019e12i −1.46034 + 2.52938i
\(580\) 4.52434e12 1.66008
\(581\) 7.02365e12 2.55723
\(582\) −1.20522e12 + 2.08750e12i −0.435425 + 0.754178i
\(583\) 2.20202e12 3.81400e12i 0.789427 1.36733i
\(584\) 3.61502e11 + 6.26140e11i 0.128604 + 0.222748i
\(585\) 2.56150e12 + 4.43666e12i 0.904261 + 1.56623i
\(586\) 3.26617e12 1.14419
\(587\) 1.81890e12 + 3.15043e12i 0.632321 + 1.09521i 0.987076 + 0.160253i \(0.0512309\pi\)
−0.354755 + 0.934959i \(0.615436\pi\)
\(588\) −4.68429e12 8.11344e12i −1.61602 2.79903i
\(589\) 1.24824e12 + 2.16202e12i 0.427347 + 0.740186i
\(590\) −7.09659e11 + 1.22917e12i −0.241110 + 0.417615i
\(591\) −5.93330e12 −2.00057
\(592\) 2.60269e11 4.50800e11i 0.0870914 0.150847i
\(593\) −2.36851e12 4.10239e12i −0.786557 1.36236i −0.928065 0.372419i \(-0.878528\pi\)
0.141508 0.989937i \(-0.454805\pi\)
\(594\) 1.39311e13 4.59140
\(595\) 2.48901e12 + 4.31110e12i 0.814144 + 1.41014i
\(596\) −3.39175e12 + 5.87469e12i −1.10107 + 1.90711i
\(597\) −8.73658e10 + 1.51322e11i −0.0281486 + 0.0487548i
\(598\) −4.86671e12 −1.55625
\(599\) −1.42607e12 + 2.47002e12i −0.452605 + 0.783935i −0.998547 0.0538881i \(-0.982839\pi\)
0.545942 + 0.837823i \(0.316172\pi\)
\(600\) −2.94751e12 −0.928483
\(601\) 7.60216e11 0.237685 0.118842 0.992913i \(-0.462082\pi\)
0.118842 + 0.992913i \(0.462082\pi\)
\(602\) 6.94046e12 + 2.90331e12i 2.15379 + 0.900967i
\(603\) −2.07978e12 −0.640605
\(604\) −4.61106e11 −0.140973
\(605\) −6.33027e11 + 1.09644e12i −0.192098 + 0.332724i
\(606\) 1.07491e13 3.23776
\(607\) −1.61748e12 + 2.80156e12i −0.483604 + 0.837627i −0.999823 0.0188299i \(-0.994006\pi\)
0.516218 + 0.856457i \(0.327339\pi\)
\(608\) −1.62129e12 + 2.80817e12i −0.481167 + 0.833406i
\(609\) 3.86439e12 + 6.69332e12i 1.13842 + 1.97181i
\(610\) −1.81499e12 −0.530751
\(611\) −7.22755e11 1.25185e12i −0.209800 0.363385i
\(612\) −5.72383e12 + 9.91397e12i −1.64932 + 2.85671i
\(613\) −6.93608e12 −1.98400 −0.992001 0.126229i \(-0.959712\pi\)
−0.992001 + 0.126229i \(0.959712\pi\)
\(614\) −2.05437e12 + 3.55827e12i −0.583338 + 1.01037i
\(615\) −4.42056e12 7.65664e12i −1.24606 2.15824i
\(616\) 2.67573e12 + 4.63450e12i 0.748736 + 1.29685i
\(617\) 1.01335e12 + 1.75518e12i 0.281499 + 0.487571i 0.971754 0.235995i \(-0.0758350\pi\)
−0.690255 + 0.723566i \(0.742502\pi\)
\(618\) 9.57859e12 2.64152
\(619\) −2.54119e12 4.40146e12i −0.695711 1.20501i −0.969941 0.243342i \(-0.921756\pi\)
0.274230 0.961664i \(-0.411577\pi\)
\(620\) 3.49748e12 + 6.05781e12i 0.950588 + 1.64647i
\(621\) 7.40180e12 1.28203e13i 1.99722 3.45928i
\(622\) 5.23418e12 9.06586e12i 1.40214 2.42858i
\(623\) −4.79612e12 −1.27554
\(624\) 5.27718e11 0.139339
\(625\) 2.37647e12 4.11617e12i 0.622978 1.07903i
\(626\) −4.38012e11 + 7.58660e11i −0.113999 + 0.197452i
\(627\) 3.56249e12 + 6.17042e12i 0.920556 + 1.59445i
\(628\) 2.41789e11 + 4.18791e11i 0.0620323 + 0.107443i
\(629\) 4.91075e12 1.25089
\(630\) −1.36636e13 2.36660e13i −3.45567 5.98539i
\(631\) 3.10606e12 + 5.37985e12i 0.779969 + 1.35095i 0.931959 + 0.362564i \(0.118099\pi\)
−0.151990 + 0.988382i \(0.548568\pi\)
\(632\) 2.03989e11 + 3.53319e11i 0.0508604 + 0.0880928i
\(633\) 3.98182e12 6.89672e12i 0.985747 1.70736i
\(634\) −6.86760e12 −1.68812
\(635\) −2.31576e12 + 4.01101e12i −0.565212 + 0.978977i
\(636\) −8.16096e12 1.41352e13i −1.97781 3.42567i
\(637\) −2.86440e12 −0.689297
\(638\) −3.25622e12 5.63993e12i −0.778073 1.34766i
\(639\) 3.08515e12 5.34363e12i 0.732018 1.26789i
\(640\) −4.01492e12 + 6.95405e12i −0.945948 + 1.63843i
\(641\) −7.76803e11 −0.181740 −0.0908699 0.995863i \(-0.528965\pi\)
−0.0908699 + 0.995863i \(0.528965\pi\)
\(642\) −4.22219e12 + 7.31305e12i −0.980913 + 1.69899i
\(643\) 6.64396e12 1.53277 0.766386 0.642381i \(-0.222053\pi\)
0.766386 + 0.642381i \(0.222053\pi\)
\(644\) 1.58233e13 3.62503
\(645\) 9.30493e12 + 3.89241e12i 2.11687 + 0.885522i
\(646\) −5.54823e12 −1.25345
\(647\) −4.77308e12 −1.07085 −0.535426 0.844582i \(-0.679849\pi\)
−0.535426 + 0.844582i \(0.679849\pi\)
\(648\) 4.50772e12 7.80760e12i 1.00431 1.73952i
\(649\) 1.24526e12 0.275524
\(650\) −1.25380e12 + 2.17164e12i −0.275497 + 0.477175i
\(651\) −5.97463e12 + 1.03484e13i −1.30376 + 2.25817i
\(652\) −3.50292e12 6.06724e12i −0.759131 1.31485i
\(653\) −2.43831e10 −0.00524783 −0.00262391 0.999997i \(-0.500835\pi\)
−0.00262391 + 0.999997i \(0.500835\pi\)
\(654\) −1.73916e12 3.01232e12i −0.371741 0.643874i
\(655\) 4.19148e12 7.25986e12i 0.889778 1.54114i
\(656\) −6.40272e11 −0.134989
\(657\) −1.61963e12 + 2.80527e12i −0.339133 + 0.587396i
\(658\) 3.85532e12 + 6.67762e12i 0.801760 + 1.38869i
\(659\) −4.52471e11 7.83702e11i −0.0934558 0.161870i 0.815507 0.578747i \(-0.196458\pi\)
−0.908963 + 0.416877i \(0.863125\pi\)
\(660\) 9.98182e12 + 1.72890e13i 2.04768 + 3.54669i
\(661\) −7.82946e12 −1.59524 −0.797618 0.603163i \(-0.793907\pi\)
−0.797618 + 0.603163i \(0.793907\pi\)
\(662\) −4.91686e11 8.51625e11i −0.0995008 0.172340i
\(663\) 2.48924e12 + 4.31149e12i 0.500330 + 0.866596i
\(664\) −3.94133e12 + 6.82659e12i −0.786841 + 1.36285i
\(665\) 4.03641e12 6.99126e12i 0.800383 1.38630i
\(666\) −2.69578e13 −5.30947
\(667\) −6.92033e12 −1.35382
\(668\) 2.60537e12 4.51263e12i 0.506262 0.876871i
\(669\) −2.84073e12 + 4.92030e12i −0.548294 + 0.949672i
\(670\) −1.41215e12 2.44592e12i −0.270736 0.468928i
\(671\) 7.96208e11 + 1.37907e12i 0.151626 + 0.262625i
\(672\) −1.55204e13 −2.93591
\(673\) 2.15186e12 + 3.72714e12i 0.404340 + 0.700338i 0.994244 0.107135i \(-0.0341678\pi\)
−0.589904 + 0.807473i \(0.700834\pi\)
\(674\) −8.12426e11 1.40716e12i −0.151640 0.262648i
\(675\) −3.81381e12 6.60571e12i −0.707118 1.22476i
\(676\) 2.65612e12 4.60053e12i 0.489200 0.847320i
\(677\) 8.79337e12 1.60882 0.804408 0.594077i \(-0.202483\pi\)
0.804408 + 0.594077i \(0.202483\pi\)
\(678\) −7.68783e12 + 1.33157e13i −1.39724 + 2.42009i
\(679\) −1.19809e12 2.07515e12i −0.216309 0.374658i
\(680\) −5.58686e12 −1.00202
\(681\) −1.48166e12 2.56630e12i −0.263989 0.457242i
\(682\) 5.03435e12 8.71975e12i 0.891074 1.54339i
\(683\) −1.67760e12 + 2.90569e12i −0.294982 + 0.510924i −0.974981 0.222289i \(-0.928647\pi\)
0.679998 + 0.733214i \(0.261980\pi\)
\(684\) 1.85646e13 3.24289
\(685\) −3.37260e12 + 5.84152e12i −0.585272 + 1.01372i
\(686\) 1.73742e12 0.299534
\(687\) 4.17736e12 0.715478
\(688\) 5.81052e11 4.42637e11i 0.0988705 0.0753182i
\(689\) −4.99035e12 −0.843616
\(690\) 3.48041e13 5.84534
\(691\) 3.16898e12 5.48883e12i 0.528771 0.915859i −0.470666 0.882312i \(-0.655986\pi\)
0.999437 0.0335471i \(-0.0106804\pi\)
\(692\) −1.24621e13 −2.06592
\(693\) −1.19880e13 + 2.07638e13i −1.97445 + 3.41985i
\(694\) −9.15501e12 + 1.58569e13i −1.49810 + 2.59479i
\(695\) 4.45741e12 + 7.72047e12i 0.724688 + 1.25520i
\(696\) −8.67404e12 −1.40113
\(697\) −3.02015e12 5.23106e12i −0.484709 0.839541i
\(698\) −7.81225e12 + 1.35312e13i −1.24574 + 2.15768i
\(699\) 2.02336e13 3.20572
\(700\) 4.07652e12 7.06074e12i 0.641724 1.11150i
\(701\) −3.72645e11 6.45441e11i −0.0582860 0.100954i 0.835410 0.549627i \(-0.185230\pi\)
−0.893696 + 0.448673i \(0.851897\pi\)
\(702\) −7.89287e12 1.36708e13i −1.22664 2.12461i
\(703\) −3.98185e12 6.89677e12i −0.614874 1.06499i
\(704\) 1.21517e13 1.86449
\(705\) 5.16876e12 + 8.95255e12i 0.788016 + 1.36488i
\(706\) −2.36570e11 4.09750e11i −0.0358375 0.0620724i
\(707\) −5.34273e12 + 9.25388e12i −0.804222 + 1.39295i
\(708\) 2.30755e12 3.99680e12i 0.345146 0.597810i
\(709\) −6.88262e12 −1.02293 −0.511465 0.859304i \(-0.670897\pi\)
−0.511465 + 0.859304i \(0.670897\pi\)
\(710\) 8.37914e12 1.23748
\(711\) −9.13925e11 + 1.58296e12i −0.134121 + 0.232305i
\(712\) 2.69135e12 4.66156e12i 0.392474 0.679785i
\(713\) −5.34967e12 9.26590e12i −0.775218 1.34272i
\(714\) −1.32781e13 2.29984e13i −1.91203 3.31173i
\(715\) 6.10379e12 0.873419
\(716\) −4.96464e12 8.59901e12i −0.705959 1.22276i
\(717\) −3.11721e12 5.39916e12i −0.440483 0.762940i
\(718\) −4.04358e12 7.00369e12i −0.567815 0.983484i
\(719\) 2.89174e12 5.00864e12i 0.403533 0.698940i −0.590616 0.806953i \(-0.701115\pi\)
0.994150 + 0.108012i \(0.0344486\pi\)
\(720\) −2.65324e12 −0.367943
\(721\) −4.76095e12 + 8.24621e12i −0.656123 + 1.13644i
\(722\) −1.34365e12 2.32727e12i −0.184022 0.318735i
\(723\) 1.76681e12 0.240474
\(724\) 6.20064e12 + 1.07398e13i 0.838712 + 1.45269i
\(725\) −1.78286e12 + 3.08801e12i −0.239661 + 0.415105i
\(726\) 3.37701e12 5.84915e12i 0.451146 0.781408i
\(727\) −8.60122e11 −0.114197 −0.0570986 0.998369i \(-0.518185\pi\)
−0.0570986 + 0.998369i \(0.518185\pi\)
\(728\) 3.03195e12 5.25150e12i 0.400066 0.692934i
\(729\) 5.27713e12 0.692028
\(730\) −4.39884e12 −0.573305
\(731\) 6.35719e12 + 2.65932e12i 0.823449 + 0.344462i
\(732\) 5.90170e12 0.759762
\(733\) −1.12032e13 −1.43342 −0.716711 0.697370i \(-0.754353\pi\)
−0.716711 + 0.697370i \(0.754353\pi\)
\(734\) −3.52478e12 + 6.10510e12i −0.448229 + 0.776355i
\(735\) 2.04847e13 2.58902
\(736\) 6.94848e12 1.20351e13i 0.872850 1.51182i
\(737\) −1.23898e12 + 2.14597e12i −0.154689 + 0.267929i
\(738\) 1.65793e13 + 2.87162e13i 2.05737 + 3.56347i
\(739\) 1.40300e12 0.173044 0.0865220 0.996250i \(-0.472425\pi\)
0.0865220 + 0.996250i \(0.472425\pi\)
\(740\) −1.11568e13 1.93242e13i −1.36772 2.36897i
\(741\) 4.03678e12 6.99190e12i 0.491873 0.851949i
\(742\) 2.66196e13 3.22391
\(743\) 4.82559e12 8.35816e12i 0.580899 1.00615i −0.414474 0.910061i \(-0.636035\pi\)
0.995373 0.0960852i \(-0.0306321\pi\)
\(744\) −6.70535e12 1.16140e13i −0.802312 1.38965i
\(745\) −7.41616e12 1.28452e13i −0.882015 1.52769i
\(746\) 7.01489e12 + 1.21502e13i 0.829271 + 1.43634i
\(747\) −3.53165e13 −4.14987
\(748\) 6.81964e12 + 1.18120e13i 0.796534 + 1.37964i
\(749\) −4.19721e12 7.26977e12i −0.487295 0.844020i
\(750\) −6.94319e12 + 1.20260e13i −0.801279 + 1.38786i
\(751\) 1.29316e11 2.23981e11i 0.0148345 0.0256940i −0.858513 0.512792i \(-0.828611\pi\)
0.873347 + 0.487098i \(0.161945\pi\)
\(752\) 7.48640e11 0.0853675
\(753\) 2.63433e13 2.98602
\(754\) −3.68973e12 + 6.39079e12i −0.415741 + 0.720085i
\(755\) 5.04111e11 8.73145e11i 0.0564631 0.0977969i
\(756\) 2.56624e13 + 4.44486e13i 2.85726 + 4.94891i
\(757\) 5.98929e12 + 1.03738e13i 0.662894 + 1.14817i 0.979852 + 0.199726i \(0.0640052\pi\)
−0.316958 + 0.948440i \(0.602661\pi\)
\(758\) 8.48078e12 0.933092
\(759\) −1.52680e13 2.64449e13i −1.66991 2.89237i
\(760\) 4.53007e12 + 7.84632e12i 0.492543 + 0.853109i
\(761\) 8.30340e12 + 1.43819e13i 0.897480 + 1.55448i 0.830705 + 0.556713i \(0.187938\pi\)
0.0667750 + 0.997768i \(0.478729\pi\)
\(762\) 1.23539e13 2.13975e13i 1.32741 2.29914i
\(763\) 3.45774e12 0.369345