Properties

Label 43.10.c.a.6.6
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 6.6
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.6

$q$-expansion

\(f(q)\) \(=\) \(q-31.9531 q^{2} +(134.971 - 233.777i) q^{3} +508.999 q^{4} +(-1225.62 + 2122.83i) q^{5} +(-4312.75 + 7469.90i) q^{6} +(3454.19 + 5982.82i) q^{7} +95.8864 q^{8} +(-26593.0 - 46060.4i) q^{9} +O(q^{10})\) \(q-31.9531 q^{2} +(134.971 - 233.777i) q^{3} +508.999 q^{4} +(-1225.62 + 2122.83i) q^{5} +(-4312.75 + 7469.90i) q^{6} +(3454.19 + 5982.82i) q^{7} +95.8864 q^{8} +(-26593.0 - 46060.4i) q^{9} +(39162.2 - 67830.9i) q^{10} +26926.6 q^{11} +(68700.2 - 118992. i) q^{12} +(-274.810 - 475.985i) q^{13} +(-110372. - 191170. i) q^{14} +(330846. + 573042. i) q^{15} -263671. q^{16} +(-234003. - 405305. i) q^{17} +(849727. + 1.47177e6i) q^{18} +(317179. - 549370. i) q^{19} +(-623838. + 1.08052e6i) q^{20} +1.86486e6 q^{21} -860389. q^{22} +(-276670. + 479207. i) q^{23} +(12941.9 - 22416.0i) q^{24} +(-2.02771e6 - 3.51209e6i) q^{25} +(8781.03 + 15209.2i) q^{26} -9.04387e6 q^{27} +(1.75818e6 + 3.04525e6i) q^{28} +(1.40669e6 + 2.43647e6i) q^{29} +(-1.05715e7 - 1.83104e7i) q^{30} +(-68479.2 + 118610. i) q^{31} +8.37602e6 q^{32} +(3.63432e6 - 6.29483e6i) q^{33} +(7.47711e6 + 1.29507e7i) q^{34} -1.69340e7 q^{35} +(-1.35358e7 - 2.34447e7i) q^{36} +(6.91119e6 - 1.19705e7i) q^{37} +(-1.01348e7 + 1.75541e7i) q^{38} -148366. q^{39} +(-117520. + 203551. i) q^{40} -2.19151e7 q^{41} -5.95881e7 q^{42} +(6.20102e6 - 2.15439e7i) q^{43} +1.37056e7 q^{44} +1.30371e8 q^{45} +(8.84047e6 - 1.53121e7i) q^{46} -4.65012e7 q^{47} +(-3.55881e7 + 6.16403e7i) q^{48} +(-3.68599e6 + 6.38431e6i) q^{49} +(6.47915e7 + 1.12222e8i) q^{50} -1.26335e8 q^{51} +(-139878. - 242276. i) q^{52} +(2.77793e6 - 4.81152e6i) q^{53} +2.88979e8 q^{54} +(-3.30017e7 + 5.71606e7i) q^{55} +(331209. + 573672. i) q^{56} +(-8.56201e7 - 1.48298e8i) q^{57} +(-4.49482e7 - 7.78526e7i) q^{58} +3.73404e7 q^{59} +(1.68400e8 + 2.91678e8i) q^{60} +(-5.58812e7 - 9.67892e7i) q^{61} +(2.18812e6 - 3.78994e6i) q^{62} +(1.83714e8 - 3.18202e8i) q^{63} -1.32640e8 q^{64} +1.34725e6 q^{65} +(-1.16128e8 + 2.01139e8i) q^{66} +(2.97528e6 - 5.15333e6i) q^{67} +(-1.19107e8 - 2.06300e8i) q^{68} +(7.46851e7 + 1.29358e8i) q^{69} +5.41094e8 q^{70} +(7.29195e7 + 1.26300e8i) q^{71} +(-2.54990e6 - 4.41656e6i) q^{72} +(-1.45519e8 - 2.52046e8i) q^{73} +(-2.20834e8 + 3.82495e8i) q^{74} -1.09473e9 q^{75} +(1.61444e8 - 2.79629e8i) q^{76} +(9.30095e7 + 1.61097e8i) q^{77} +4.74075e6 q^{78} +(-1.06979e8 - 1.85292e8i) q^{79} +(3.23160e8 - 5.59729e8i) q^{80} +(-6.97232e8 + 1.20764e9i) q^{81} +7.00256e8 q^{82} +(3.86167e7 - 6.68862e7i) q^{83} +9.49213e8 q^{84} +1.14719e9 q^{85} +(-1.98142e8 + 6.88394e8i) q^{86} +7.59453e8 q^{87} +2.58190e6 q^{88} +(5.10743e7 - 8.84633e7i) q^{89} -4.16576e9 q^{90} +(1.89849e6 - 3.28828e6i) q^{91} +(-1.40825e8 + 2.43916e8i) q^{92} +(1.84855e7 + 3.20177e7i) q^{93} +1.48586e9 q^{94} +(7.77479e8 + 1.34663e9i) q^{95} +(1.13052e9 - 1.95812e9i) q^{96} +2.56659e8 q^{97} +(1.17779e8 - 2.03998e8i) q^{98} +(-7.16059e8 - 1.24025e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −31.9531 −1.41214 −0.706070 0.708142i \(-0.749534\pi\)
−0.706070 + 0.708142i \(0.749534\pi\)
\(3\) 134.971 233.777i 0.962045 1.66631i 0.244694 0.969600i \(-0.421313\pi\)
0.717352 0.696711i \(-0.245354\pi\)
\(4\) 508.999 0.994139
\(5\) −1225.62 + 2122.83i −0.876979 + 1.51897i −0.0223404 + 0.999750i \(0.507112\pi\)
−0.854639 + 0.519223i \(0.826222\pi\)
\(6\) −4312.75 + 7469.90i −1.35854 + 2.35306i
\(7\) 3454.19 + 5982.82i 0.543756 + 0.941814i 0.998684 + 0.0512854i \(0.0163318\pi\)
−0.454928 + 0.890528i \(0.650335\pi\)
\(8\) 95.8864 0.00827660
\(9\) −26593.0 46060.4i −1.35106 2.34011i
\(10\) 39162.2 67830.9i 1.23842 2.14500i
\(11\) 26926.6 0.554517 0.277258 0.960795i \(-0.410574\pi\)
0.277258 + 0.960795i \(0.410574\pi\)
\(12\) 68700.2 118992.i 0.956407 1.65655i
\(13\) −274.810 475.985i −0.00266863 0.00462220i 0.864688 0.502309i \(-0.167516\pi\)
−0.867357 + 0.497687i \(0.834183\pi\)
\(14\) −110372. 191170.i −0.767860 1.32997i
\(15\) 330846. + 573042.i 1.68739 + 2.92264i
\(16\) −263671. −1.00583
\(17\) −234003. 405305.i −0.679518 1.17696i −0.975126 0.221651i \(-0.928856\pi\)
0.295608 0.955309i \(-0.404478\pi\)
\(18\) 849727. + 1.47177e6i 1.90789 + 3.30456i
\(19\) 317179. 549370.i 0.558358 0.967105i −0.439275 0.898352i \(-0.644765\pi\)
0.997634 0.0687527i \(-0.0219019\pi\)
\(20\) −623838. + 1.08052e6i −0.871839 + 1.51007i
\(21\) 1.86486e6 2.09247
\(22\) −860389. −0.783056
\(23\) −276670. + 479207.i −0.206152 + 0.357066i −0.950499 0.310727i \(-0.899427\pi\)
0.744347 + 0.667793i \(0.232761\pi\)
\(24\) 12941.9 22416.0i 0.00796247 0.0137914i
\(25\) −2.02771e6 3.51209e6i −1.03819 1.79819i
\(26\) 8781.03 + 15209.2i 0.00376847 + 0.00652719i
\(27\) −9.04387e6 −3.27504
\(28\) 1.75818e6 + 3.04525e6i 0.540569 + 0.936294i
\(29\) 1.40669e6 + 2.43647e6i 0.369325 + 0.639690i 0.989460 0.144805i \(-0.0462555\pi\)
−0.620135 + 0.784495i \(0.712922\pi\)
\(30\) −1.05715e7 1.83104e7i −2.38283 4.12718i
\(31\) −68479.2 + 118610.i −0.0133178 + 0.0230670i −0.872607 0.488422i \(-0.837573\pi\)
0.859290 + 0.511489i \(0.170906\pi\)
\(32\) 8.37602e6 1.41209
\(33\) 3.63432e6 6.29483e6i 0.533471 0.923998i
\(34\) 7.47711e6 + 1.29507e7i 0.959575 + 1.66203i
\(35\) −1.69340e7 −1.90745
\(36\) −1.35358e7 2.34447e7i −1.34314 2.32639i
\(37\) 6.91119e6 1.19705e7i 0.606240 1.05004i −0.385614 0.922660i \(-0.626010\pi\)
0.991854 0.127379i \(-0.0406564\pi\)
\(38\) −1.01348e7 + 1.75541e7i −0.788480 + 1.36569i
\(39\) −148366. −0.0102694
\(40\) −117520. + 203551.i −0.00725841 + 0.0125719i
\(41\) −2.19151e7 −1.21120 −0.605602 0.795768i \(-0.707067\pi\)
−0.605602 + 0.795768i \(0.707067\pi\)
\(42\) −5.95881e7 −2.95487
\(43\) 6.20102e6 2.15439e7i 0.276602 0.960985i
\(44\) 1.37056e7 0.551267
\(45\) 1.30371e8 4.73942
\(46\) 8.84047e6 1.53121e7i 0.291115 0.504227i
\(47\) −4.65012e7 −1.39003 −0.695014 0.718996i \(-0.744602\pi\)
−0.695014 + 0.718996i \(0.744602\pi\)
\(48\) −3.55881e7 + 6.16403e7i −0.967651 + 1.67602i
\(49\) −3.68599e6 + 6.38431e6i −0.0913422 + 0.158209i
\(50\) 6.47915e7 + 1.12222e8i 1.46606 + 2.53930i
\(51\) −1.26335e8 −2.61491
\(52\) −139878. 242276.i −0.00265299 0.00459510i
\(53\) 2.77793e6 4.81152e6i 0.0483593 0.0837608i −0.840833 0.541295i \(-0.817934\pi\)
0.889192 + 0.457535i \(0.151267\pi\)
\(54\) 2.88979e8 4.62482
\(55\) −3.30017e7 + 5.71606e7i −0.486300 + 0.842296i
\(56\) 331209. + 573672.i 0.00450046 + 0.00779502i
\(57\) −8.56201e7 1.48298e8i −1.07433 1.86080i
\(58\) −4.49482e7 7.78526e7i −0.521539 0.903332i
\(59\) 3.73404e7 0.401185 0.200593 0.979675i \(-0.435713\pi\)
0.200593 + 0.979675i \(0.435713\pi\)
\(60\) 1.68400e8 + 2.91678e8i 1.67750 + 2.90551i
\(61\) −5.58812e7 9.67892e7i −0.516752 0.895040i −0.999811 0.0194523i \(-0.993808\pi\)
0.483059 0.875588i \(-0.339526\pi\)
\(62\) 2.18812e6 3.78994e6i 0.0188065 0.0325739i
\(63\) 1.83714e8 3.18202e8i 1.46930 2.54490i
\(64\) −1.32640e8 −0.988244
\(65\) 1.34725e6 0.00936132
\(66\) −1.16128e8 + 2.01139e8i −0.753335 + 1.30481i
\(67\) 2.97528e6 5.15333e6i 0.0180381 0.0312429i −0.856865 0.515540i \(-0.827591\pi\)
0.874904 + 0.484297i \(0.160925\pi\)
\(68\) −1.19107e8 2.06300e8i −0.675535 1.17006i
\(69\) 7.46851e7 + 1.29358e8i 0.396655 + 0.687027i
\(70\) 5.41094e8 2.69359
\(71\) 7.29195e7 + 1.26300e8i 0.340550 + 0.589850i 0.984535 0.175188i \(-0.0560534\pi\)
−0.643985 + 0.765038i \(0.722720\pi\)
\(72\) −2.54990e6 4.41656e6i −0.0111822 0.0193682i
\(73\) −1.45519e8 2.52046e8i −0.599746 1.03879i −0.992858 0.119300i \(-0.961935\pi\)
0.393113 0.919490i \(-0.371398\pi\)
\(74\) −2.20834e8 + 3.82495e8i −0.856096 + 1.48280i
\(75\) −1.09473e9 −3.99513
\(76\) 1.61444e8 2.79629e8i 0.555086 0.961437i
\(77\) 9.30095e7 + 1.61097e8i 0.301522 + 0.522252i
\(78\) 4.74075e6 0.0145018
\(79\) −1.06979e8 1.85292e8i −0.309012 0.535224i 0.669135 0.743141i \(-0.266665\pi\)
−0.978147 + 0.207917i \(0.933332\pi\)
\(80\) 3.23160e8 5.59729e8i 0.882089 1.52782i
\(81\) −6.97232e8 + 1.20764e9i −1.79968 + 3.11714i
\(82\) 7.00256e8 1.71039
\(83\) 3.86167e7 6.68862e7i 0.0893150 0.154698i −0.817907 0.575351i \(-0.804866\pi\)
0.907222 + 0.420653i \(0.138199\pi\)
\(84\) 9.49213e8 2.08021
\(85\) 1.14719e9 2.38369
\(86\) −1.98142e8 + 6.88394e8i −0.390601 + 1.35704i
\(87\) 7.59453e8 1.42123
\(88\) 2.58190e6 0.00458952
\(89\) 5.10743e7 8.84633e7i 0.0862875 0.149454i −0.819652 0.572862i \(-0.805833\pi\)
0.905939 + 0.423408i \(0.139166\pi\)
\(90\) −4.16576e9 −6.69272
\(91\) 1.89849e6 3.28828e6i 0.00290217 0.00502670i
\(92\) −1.40825e8 + 2.43916e8i −0.204944 + 0.354973i
\(93\) 1.84855e7 + 3.20177e7i 0.0256246 + 0.0443831i
\(94\) 1.48586e9 1.96291
\(95\) 7.77479e8 + 1.34663e9i 0.979338 + 1.69626i
\(96\) 1.13052e9 1.95812e9i 1.35850 2.35298i
\(97\) 2.56659e8 0.294363 0.147182 0.989109i \(-0.452980\pi\)
0.147182 + 0.989109i \(0.452980\pi\)
\(98\) 1.17779e8 2.03998e8i 0.128988 0.223414i
\(99\) −7.16059e8 1.24025e9i −0.749187 1.29763i
\(100\) −1.03210e9 1.78765e9i −1.03210 1.78765i
\(101\) −7.93086e8 1.37366e9i −0.758357 1.31351i −0.943688 0.330837i \(-0.892669\pi\)
0.185331 0.982676i \(-0.440664\pi\)
\(102\) 4.03678e9 3.69262
\(103\) −7.41479e8 1.28428e9i −0.649130 1.12433i −0.983331 0.181824i \(-0.941800\pi\)
0.334201 0.942502i \(-0.391534\pi\)
\(104\) −26350.6 45640.5i −2.20872e−5 3.82561e-5i
\(105\) −2.28561e9 + 3.95878e9i −1.83506 + 3.17841i
\(106\) −8.87634e7 + 1.53743e8i −0.0682901 + 0.118282i
\(107\) −8.40003e8 −0.619518 −0.309759 0.950815i \(-0.600248\pi\)
−0.309759 + 0.950815i \(0.600248\pi\)
\(108\) −4.60332e9 −3.25585
\(109\) −6.09900e8 + 1.05638e9i −0.413847 + 0.716804i −0.995307 0.0967714i \(-0.969148\pi\)
0.581460 + 0.813575i \(0.302482\pi\)
\(110\) 1.05451e9 1.82646e9i 0.686724 1.18944i
\(111\) −1.86562e9 3.23135e9i −1.16646 2.02037i
\(112\) −9.10770e8 1.57750e9i −0.546925 0.947301i
\(113\) 1.25106e9 0.721813 0.360906 0.932602i \(-0.382467\pi\)
0.360906 + 0.932602i \(0.382467\pi\)
\(114\) 2.73582e9 + 4.73859e9i 1.51711 + 2.62771i
\(115\) −6.78183e8 1.17465e9i −0.361582 0.626279i
\(116\) 7.16006e8 + 1.24016e9i 0.367160 + 0.635941i
\(117\) −1.46160e7 + 2.53157e7i −0.00721096 + 0.0124898i
\(118\) −1.19314e9 −0.566530
\(119\) 1.61658e9 2.80000e9i 0.738985 1.27996i
\(120\) 3.17236e7 + 5.49469e7i 0.0139658 + 0.0241896i
\(121\) −1.63290e9 −0.692511
\(122\) 1.78558e9 + 3.09271e9i 0.729726 + 1.26392i
\(123\) −2.95791e9 + 5.12326e9i −1.16523 + 2.01824i
\(124\) −3.48559e7 + 6.03721e7i −0.0132397 + 0.0229318i
\(125\) 5.15320e9 1.88791
\(126\) −5.87023e9 + 1.01675e10i −2.07485 + 3.59375i
\(127\) 3.10459e8 0.105898 0.0529490 0.998597i \(-0.483138\pi\)
0.0529490 + 0.998597i \(0.483138\pi\)
\(128\) −5.02712e7 −0.0165529
\(129\) −4.19951e9 4.35746e9i −1.33520 1.38542i
\(130\) −4.30487e7 −0.0132195
\(131\) 5.01557e9 1.48799 0.743994 0.668186i \(-0.232929\pi\)
0.743994 + 0.668186i \(0.232929\pi\)
\(132\) 1.84987e9 3.20406e9i 0.530344 0.918582i
\(133\) 4.38238e9 1.21444
\(134\) −9.50692e7 + 1.64665e8i −0.0254723 + 0.0441193i
\(135\) 1.10843e10 1.91986e10i 2.87215 4.97470i
\(136\) −2.24377e7 3.88632e7i −0.00562410 0.00974123i
\(137\) −1.33261e9 −0.323192 −0.161596 0.986857i \(-0.551664\pi\)
−0.161596 + 0.986857i \(0.551664\pi\)
\(138\) −2.38642e9 4.13340e9i −0.560132 0.970178i
\(139\) 3.07322e9 5.32297e9i 0.698276 1.20945i −0.270788 0.962639i \(-0.587284\pi\)
0.969064 0.246810i \(-0.0793824\pi\)
\(140\) −8.61940e9 −1.89627
\(141\) −6.27632e9 + 1.08709e10i −1.33727 + 2.31622i
\(142\) −2.33000e9 4.03568e9i −0.480904 0.832951i
\(143\) −7.39971e6 1.28167e7i −0.00147980 0.00256309i
\(144\) 7.01181e9 + 1.21448e10i 1.35894 + 2.35374i
\(145\) −6.89627e9 −1.29556
\(146\) 4.64978e9 + 8.05366e9i 0.846925 + 1.46692i
\(147\) 9.95004e8 + 1.72340e9i 0.175751 + 0.304409i
\(148\) 3.51779e9 6.09299e9i 0.602687 1.04389i
\(149\) 3.85066e8 6.66954e8i 0.0640025 0.110856i −0.832249 0.554403i \(-0.812947\pi\)
0.896251 + 0.443547i \(0.146280\pi\)
\(150\) 3.49799e10 5.64168
\(151\) −1.02545e9 −0.160516 −0.0802581 0.996774i \(-0.525574\pi\)
−0.0802581 + 0.996774i \(0.525574\pi\)
\(152\) 3.04132e7 5.26771e7i 0.00462131 0.00800435i
\(153\) −1.24457e10 + 2.15565e10i −1.83614 + 3.18029i
\(154\) −2.97194e9 5.14755e9i −0.425791 0.737493i
\(155\) −1.67859e8 2.90739e8i −0.0233588 0.0404586i
\(156\) −7.55181e7 −0.0102092
\(157\) 4.70521e9 + 8.14967e9i 0.618060 + 1.07051i 0.989839 + 0.142190i \(0.0454146\pi\)
−0.371779 + 0.928321i \(0.621252\pi\)
\(158\) 3.41830e9 + 5.92067e9i 0.436368 + 0.755812i
\(159\) −7.49882e8 1.29883e9i −0.0930477 0.161163i
\(160\) −1.02658e10 + 1.77809e10i −1.23838 + 2.14493i
\(161\) −3.82268e9 −0.448386
\(162\) 2.22787e10 3.85879e10i 2.54140 4.40183i
\(163\) 3.41733e9 + 5.91898e9i 0.379177 + 0.656754i 0.990943 0.134285i \(-0.0428738\pi\)
−0.611766 + 0.791039i \(0.709540\pi\)
\(164\) −1.11548e10 −1.20410
\(165\) 8.90856e9 + 1.54301e10i 0.935685 + 1.62065i
\(166\) −1.23392e9 + 2.13722e9i −0.126125 + 0.218455i
\(167\) −1.11297e9 + 1.92772e9i −0.110728 + 0.191787i −0.916064 0.401032i \(-0.868652\pi\)
0.805336 + 0.592819i \(0.201985\pi\)
\(168\) 1.78815e8 0.0173186
\(169\) 5.30210e9 9.18350e9i 0.499986 0.866001i
\(170\) −3.66563e10 −3.36611
\(171\) −3.37389e10 −3.01751
\(172\) 3.15632e9 1.09658e10i 0.274981 0.955352i
\(173\) 5.54810e8 0.0470909 0.0235454 0.999723i \(-0.492505\pi\)
0.0235454 + 0.999723i \(0.492505\pi\)
\(174\) −2.42669e10 −2.00698
\(175\) 1.40082e10 2.42628e10i 1.12904 1.95556i
\(176\) −7.09978e9 −0.557748
\(177\) 5.03988e9 8.72933e9i 0.385959 0.668500i
\(178\) −1.63198e9 + 2.82668e9i −0.121850 + 0.211050i
\(179\) 2.11503e9 + 3.66334e9i 0.153985 + 0.266709i 0.932689 0.360682i \(-0.117456\pi\)
−0.778704 + 0.627391i \(0.784123\pi\)
\(180\) 6.63588e10 4.71164
\(181\) −8.04968e9 1.39425e10i −0.557475 0.965574i −0.997706 0.0676902i \(-0.978437\pi\)
0.440232 0.897884i \(-0.354896\pi\)
\(182\) −6.06626e7 + 1.05071e8i −0.00409826 + 0.00709840i
\(183\) −3.01694e10 −1.98855
\(184\) −2.65289e7 + 4.59495e7i −0.00170624 + 0.00295529i
\(185\) 1.69409e10 + 2.93425e10i 1.06332 + 1.84173i
\(186\) −5.90667e8 1.02307e9i −0.0361855 0.0626751i
\(187\) −6.30091e9 1.09135e10i −0.376804 0.652644i
\(188\) −2.36691e10 −1.38188
\(189\) −3.12392e10 5.41079e10i −1.78083 3.08448i
\(190\) −2.48428e10 4.30291e10i −1.38296 2.39536i
\(191\) −8.54848e9 + 1.48064e10i −0.464771 + 0.805006i −0.999191 0.0402123i \(-0.987197\pi\)
0.534420 + 0.845219i \(0.320530\pi\)
\(192\) −1.79026e10 + 3.10081e10i −0.950735 + 1.64672i
\(193\) 3.19039e10 1.65514 0.827571 0.561361i \(-0.189722\pi\)
0.827571 + 0.561361i \(0.189722\pi\)
\(194\) −8.20104e9 −0.415682
\(195\) 1.81840e8 3.14955e8i 0.00900602 0.0155989i
\(196\) −1.87616e9 + 3.24961e9i −0.0908068 + 0.157282i
\(197\) −5.67719e9 9.83319e9i −0.268556 0.465153i 0.699933 0.714209i \(-0.253213\pi\)
−0.968489 + 0.249055i \(0.919880\pi\)
\(198\) 2.28803e10 + 3.96298e10i 1.05796 + 1.83244i
\(199\) −2.21166e10 −0.999725 −0.499862 0.866105i \(-0.666616\pi\)
−0.499862 + 0.866105i \(0.666616\pi\)
\(200\) −1.94430e8 3.36762e8i −0.00859266 0.0148829i
\(201\) −8.03153e8 1.39110e9i −0.0347069 0.0601142i
\(202\) 2.53415e10 + 4.38928e10i 1.07091 + 1.85486i
\(203\) −9.71797e9 + 1.68320e10i −0.401646 + 0.695671i
\(204\) −6.43042e10 −2.59958
\(205\) 2.68596e10 4.65221e10i 1.06220 1.83978i
\(206\) 2.36925e10 + 4.10367e10i 0.916662 + 1.58771i
\(207\) 2.94300e10 1.11410
\(208\) 7.24596e7 + 1.25504e8i 0.00268418 + 0.00464913i
\(209\) 8.54056e9 1.47927e10i 0.309619 0.536276i
\(210\) 7.30321e10 1.26495e11i 2.59136 4.48836i
\(211\) −9.45477e9 −0.328382 −0.164191 0.986429i \(-0.552501\pi\)
−0.164191 + 0.986429i \(0.552501\pi\)
\(212\) 1.41396e9 2.44906e9i 0.0480759 0.0832699i
\(213\) 3.93681e10 1.31050
\(214\) 2.68407e10 0.874845
\(215\) 3.81340e10 + 3.95683e10i 1.21714 + 1.26291i
\(216\) −8.67184e8 −0.0271062
\(217\) −9.46160e8 −0.0289665
\(218\) 1.94882e10 3.37545e10i 0.584410 1.01223i
\(219\) −7.85636e10 −2.30793
\(220\) −1.67978e10 + 2.90947e10i −0.483450 + 0.837360i
\(221\) −1.28613e8 + 2.22764e8i −0.00362676 + 0.00628173i
\(222\) 5.96124e10 + 1.03252e11i 1.64721 + 2.85305i
\(223\) −5.98509e9 −0.162068 −0.0810342 0.996711i \(-0.525822\pi\)
−0.0810342 + 0.996711i \(0.525822\pi\)
\(224\) 2.89323e10 + 5.01123e10i 0.767834 + 1.32993i
\(225\) −1.07846e11 + 1.86794e11i −2.80531 + 4.85894i
\(226\) −3.99752e10 −1.01930
\(227\) 2.75581e10 4.77321e10i 0.688864 1.19315i −0.283341 0.959019i \(-0.591443\pi\)
0.972206 0.234129i \(-0.0752237\pi\)
\(228\) −4.35805e10 7.54837e10i −1.06804 1.84989i
\(229\) 2.87374e10 + 4.97746e10i 0.690538 + 1.19605i 0.971662 + 0.236376i \(0.0759596\pi\)
−0.281123 + 0.959672i \(0.590707\pi\)
\(230\) 2.16700e10 + 3.75336e10i 0.510604 + 0.884393i
\(231\) 5.02145e10 1.16031
\(232\) 1.34883e8 + 2.33624e8i 0.00305676 + 0.00529446i
\(233\) 1.02592e9 + 1.77694e9i 0.0228040 + 0.0394976i 0.877202 0.480121i \(-0.159407\pi\)
−0.854398 + 0.519619i \(0.826074\pi\)
\(234\) 4.67027e8 8.08915e8i 0.0101829 0.0176373i
\(235\) 5.69926e10 9.87140e10i 1.21903 2.11141i
\(236\) 1.90062e10 0.398834
\(237\) −5.77562e10 −1.18913
\(238\) −5.16547e10 + 8.94685e10i −1.04355 + 1.80748i
\(239\) −3.63330e10 + 6.29305e10i −0.720295 + 1.24759i 0.240587 + 0.970628i \(0.422660\pi\)
−0.960882 + 0.276960i \(0.910673\pi\)
\(240\) −8.72346e10 1.51095e11i −1.69722 2.93967i
\(241\) −3.41130e10 5.90855e10i −0.651394 1.12825i −0.982785 0.184754i \(-0.940851\pi\)
0.331391 0.943493i \(-0.392482\pi\)
\(242\) 5.21763e10 0.977922
\(243\) 9.92074e10 + 1.71832e11i 1.82522 + 3.16138i
\(244\) −2.84435e10 4.92656e10i −0.513723 0.889794i
\(245\) −9.03521e9 1.56494e10i −0.160210 0.277493i
\(246\) 9.45145e10 1.63704e11i 1.64547 2.85004i
\(247\) −3.48656e8 −0.00596020
\(248\) −6.56623e6 + 1.13730e7i −0.000110226 + 0.000190917i
\(249\) −1.04243e10 1.80554e10i −0.171850 0.297653i
\(250\) −1.64661e11 −2.66600
\(251\) −2.90363e10 5.02924e10i −0.461753 0.799780i 0.537295 0.843394i \(-0.319446\pi\)
−0.999048 + 0.0436143i \(0.986113\pi\)
\(252\) 9.35103e10 1.61965e11i 1.46069 2.52998i
\(253\) −7.44980e9 + 1.29034e10i −0.114315 + 0.197999i
\(254\) −9.92013e9 −0.149543
\(255\) 1.54838e11 2.68187e11i 2.29322 3.97198i
\(256\) 6.95179e10 1.01162
\(257\) −9.12458e10 −1.30471 −0.652355 0.757914i \(-0.726219\pi\)
−0.652355 + 0.757914i \(0.726219\pi\)
\(258\) 1.34187e11 + 1.39234e11i 1.88548 + 1.95640i
\(259\) 9.54901e10 1.31859
\(260\) 6.85748e8 0.00930645
\(261\) 7.48164e10 1.29586e11i 0.997963 1.72852i
\(262\) −1.60263e11 −2.10125
\(263\) −6.82216e10 + 1.18163e11i −0.879268 + 1.52294i −0.0271226 + 0.999632i \(0.508634\pi\)
−0.852146 + 0.523305i \(0.824699\pi\)
\(264\) 3.48482e8 6.03588e8i 0.00441532 0.00764757i
\(265\) 6.80935e9 + 1.17941e10i 0.0848202 + 0.146913i
\(266\) −1.40030e11 −1.71496
\(267\) −1.37871e10 2.38800e10i −0.166025 0.287564i
\(268\) 1.51441e9 2.62304e9i 0.0179324 0.0310598i
\(269\) 9.42954e10 1.09801 0.549004 0.835820i \(-0.315007\pi\)
0.549004 + 0.835820i \(0.315007\pi\)
\(270\) −3.54178e11 + 6.13454e11i −4.05587 + 7.02498i
\(271\) 7.21066e10 + 1.24892e11i 0.812107 + 1.40661i 0.911387 + 0.411551i \(0.135013\pi\)
−0.0992796 + 0.995060i \(0.531654\pi\)
\(272\) 6.16999e10 + 1.06867e11i 0.683477 + 1.18382i
\(273\) −5.12483e8 8.87647e8i −0.00558403 0.00967182i
\(274\) 4.25810e10 0.456392
\(275\) −5.45993e10 9.45688e10i −0.575692 0.997127i
\(276\) 3.80147e10 + 6.58433e10i 0.394330 + 0.683000i
\(277\) −9.94184e9 + 1.72198e10i −0.101463 + 0.175739i −0.912288 0.409550i \(-0.865686\pi\)
0.810825 + 0.585289i \(0.199019\pi\)
\(278\) −9.81988e10 + 1.70085e11i −0.986063 + 1.70791i
\(279\) 7.28426e9 0.0719725
\(280\) −1.62374e9 −0.0157872
\(281\) −6.41295e10 + 1.11076e11i −0.613592 + 1.06277i 0.377038 + 0.926198i \(0.376943\pi\)
−0.990630 + 0.136574i \(0.956391\pi\)
\(282\) 2.00548e11 3.47359e11i 1.88841 3.27083i
\(283\) 4.79008e10 + 8.29666e10i 0.443919 + 0.768890i 0.997976 0.0635885i \(-0.0202545\pi\)
−0.554057 + 0.832478i \(0.686921\pi\)
\(284\) 3.71160e10 + 6.42867e10i 0.338554 + 0.586393i
\(285\) 4.19749e11 3.76867
\(286\) 2.36444e8 + 4.09532e8i 0.00208968 + 0.00361944i
\(287\) −7.56990e10 1.31114e11i −0.658599 1.14073i
\(288\) −2.22743e11 3.85803e11i −1.90782 3.30445i
\(289\) −5.02208e10 + 8.69849e10i −0.423490 + 0.733506i
\(290\) 2.20357e11 1.82952
\(291\) 3.46416e10 6.00009e10i 0.283191 0.490501i
\(292\) −7.40691e10 1.28291e11i −0.596230 1.03270i
\(293\) 4.90050e10 0.388451 0.194225 0.980957i \(-0.437781\pi\)
0.194225 + 0.980957i \(0.437781\pi\)
\(294\) −3.17934e10 5.50679e10i −0.248184 0.429868i
\(295\) −4.57650e10 + 7.92673e10i −0.351831 + 0.609390i
\(296\) 6.62689e8 1.14781e9i 0.00501761 0.00869076i
\(297\) −2.43521e11 −1.81607
\(298\) −1.23040e10 + 2.13112e10i −0.0903804 + 0.156544i
\(299\) 3.04127e8 0.00220057
\(300\) −5.57216e11 −3.97171
\(301\) 1.50313e11 3.73170e10i 1.05547 0.262034i
\(302\) 3.27663e10 0.226671
\(303\) −4.28175e11 −2.91830
\(304\) −8.36310e10 + 1.44853e11i −0.561612 + 0.972740i
\(305\) 2.73956e11 1.81272
\(306\) 3.97677e11 6.88797e11i 2.59289 4.49102i
\(307\) 2.75635e10 4.77414e10i 0.177097 0.306741i −0.763788 0.645467i \(-0.776663\pi\)
0.940885 + 0.338726i \(0.109996\pi\)
\(308\) 4.73418e10 + 8.19984e10i 0.299755 + 0.519191i
\(309\) −4.00314e11 −2.49797
\(310\) 5.36360e9 + 9.29002e9i 0.0329859 + 0.0571333i
\(311\) 7.84182e10 1.35824e11i 0.475330 0.823295i −0.524271 0.851552i \(-0.675662\pi\)
0.999601 + 0.0282561i \(0.00899540\pi\)
\(312\) −1.42263e7 −8.49954e−5
\(313\) 1.18858e11 2.05869e11i 0.699971 1.21238i −0.268505 0.963278i \(-0.586530\pi\)
0.968476 0.249107i \(-0.0801370\pi\)
\(314\) −1.50346e11 2.60407e11i −0.872787 1.51171i
\(315\) 4.50326e11 + 7.79987e11i 2.57709 + 4.46365i
\(316\) −5.44521e10 9.43137e10i −0.307201 0.532087i
\(317\) 3.07661e11 1.71122 0.855610 0.517622i \(-0.173182\pi\)
0.855610 + 0.517622i \(0.173182\pi\)
\(318\) 2.39610e10 + 4.15017e10i 0.131396 + 0.227585i
\(319\) 3.78775e10 + 6.56058e10i 0.204797 + 0.354719i
\(320\) 1.62566e11 2.81572e11i 0.866670 1.50112i
\(321\) −1.13376e11 + 1.96373e11i −0.596004 + 1.03231i
\(322\) 1.22146e11 0.633184
\(323\) −2.96883e11 −1.51766
\(324\) −3.54891e11 + 6.14689e11i −1.78913 + 3.09887i
\(325\) −1.11447e9 + 1.93032e9i −0.00554106 + 0.00959740i
\(326\) −1.09194e11 1.89130e11i −0.535451 0.927428i
\(327\) 1.64638e11 + 2.85161e11i 0.796279 + 1.37920i
\(328\) −2.10136e9 −0.0100246
\(329\) −1.60624e11 2.78208e11i −0.755836 1.30915i
\(330\) −2.84656e11 4.93039e11i −1.32132 2.28859i
\(331\) 1.06390e11 + 1.84273e11i 0.487165 + 0.843794i 0.999891 0.0147579i \(-0.00469776\pi\)
−0.512726 + 0.858552i \(0.671364\pi\)
\(332\) 1.96559e10 3.40450e10i 0.0887915 0.153791i
\(333\) −7.35156e11 −3.27628
\(334\) 3.55628e10 6.15965e10i 0.156364 0.270830i
\(335\) 7.29309e9 + 1.26320e10i 0.0316381 + 0.0547988i
\(336\) −4.91711e11 −2.10467
\(337\) 1.71447e11 + 2.96956e11i 0.724096 + 1.25417i 0.959345 + 0.282236i \(0.0910762\pi\)
−0.235249 + 0.971935i \(0.575590\pi\)
\(338\) −1.69418e11 + 2.93441e11i −0.706050 + 1.22291i
\(339\) 1.68857e11 2.92469e11i 0.694417 1.20277i
\(340\) 5.83919e11 2.36972
\(341\) −1.84391e9 + 3.19375e9i −0.00738493 + 0.0127911i
\(342\) 1.07806e12 4.26115
\(343\) 2.27849e11 0.888841
\(344\) 5.94594e8 2.06577e9i 0.00228933 0.00795369i
\(345\) −3.66141e11 −1.39143
\(346\) −1.77279e10 −0.0664989
\(347\) 2.68926e10 4.65794e10i 0.0995750 0.172469i −0.811934 0.583750i \(-0.801585\pi\)
0.911509 + 0.411281i \(0.134918\pi\)
\(348\) 3.86561e11 1.41290
\(349\) 1.48671e11 2.57506e11i 0.536429 0.929121i −0.462664 0.886534i \(-0.653106\pi\)
0.999093 0.0425879i \(-0.0135602\pi\)
\(350\) −4.47604e11 + 7.75272e11i −1.59436 + 2.76152i
\(351\) 2.48535e9 + 4.30475e9i 0.00873987 + 0.0151379i
\(352\) 2.25538e11 0.783029
\(353\) −2.95540e10 5.11890e10i −0.101305 0.175465i 0.810918 0.585160i \(-0.198968\pi\)
−0.912222 + 0.409695i \(0.865635\pi\)
\(354\) −1.61040e11 + 2.78929e11i −0.545027 + 0.944015i
\(355\) −3.57485e11 −1.19462
\(356\) 2.59968e10 4.50278e10i 0.0857817 0.148578i
\(357\) −4.36383e11 7.55838e11i −1.42187 2.46276i
\(358\) −6.75817e10 1.17055e11i −0.217448 0.376631i
\(359\) 8.36942e10 + 1.44963e11i 0.265932 + 0.460608i 0.967807 0.251692i \(-0.0809870\pi\)
−0.701875 + 0.712300i \(0.747654\pi\)
\(360\) 1.25008e10 0.0392263
\(361\) −3.98610e10 6.90414e10i −0.123528 0.213957i
\(362\) 2.57212e11 + 4.45504e11i 0.787232 + 1.36353i
\(363\) −2.20395e11 + 3.81736e11i −0.666227 + 1.15394i
\(364\) 9.66330e8 1.67373e9i 0.00288516 0.00499724i
\(365\) 7.13402e11 2.10386
\(366\) 9.64007e11 2.80812
\(367\) −9.57705e10 + 1.65879e11i −0.275572 + 0.477304i −0.970279 0.241988i \(-0.922200\pi\)
0.694707 + 0.719292i \(0.255534\pi\)
\(368\) 7.29501e10 1.26353e11i 0.207353 0.359146i
\(369\) 5.82789e11 + 1.00942e12i 1.63641 + 2.83435i
\(370\) −5.41315e11 9.37585e11i −1.50156 2.60077i
\(371\) 3.83820e10 0.105183
\(372\) 9.40908e9 + 1.62970e10i 0.0254744 + 0.0441230i
\(373\) −6.14227e10 1.06387e11i −0.164301 0.284577i 0.772106 0.635494i \(-0.219203\pi\)
−0.936407 + 0.350917i \(0.885870\pi\)
\(374\) 2.01333e11 + 3.48720e11i 0.532100 + 0.921625i
\(375\) 6.95534e11 1.20470e12i 1.81626 3.14585i
\(376\) −4.45883e9 −0.0115047
\(377\) 7.73148e8 1.33913e9i 0.00197118 0.00341419i
\(378\) 9.98188e11 + 1.72891e12i 2.51478 + 4.35572i
\(379\) −5.12219e11 −1.27520 −0.637601 0.770367i \(-0.720073\pi\)
−0.637601 + 0.770367i \(0.720073\pi\)
\(380\) 3.95736e11 + 6.85435e11i 0.973598 + 1.68632i
\(381\) 4.19031e10 7.25783e10i 0.101879 0.176459i
\(382\) 2.73150e11 4.73110e11i 0.656321 1.13678i
\(383\) −5.03799e11 −1.19636 −0.598181 0.801361i \(-0.704110\pi\)
−0.598181 + 0.801361i \(0.704110\pi\)
\(384\) −6.78517e9 + 1.17523e10i −0.0159247 + 0.0275823i
\(385\) −4.55976e11 −1.05772
\(386\) −1.01943e12 −2.33729
\(387\) −1.15722e12 + 2.87295e11i −2.62252 + 0.651072i
\(388\) 1.30639e11 0.292638
\(389\) −4.20477e11 −0.931041 −0.465520 0.885037i \(-0.654133\pi\)
−0.465520 + 0.885037i \(0.654133\pi\)
\(390\) −5.81033e9 + 1.00638e10i −0.0127178 + 0.0220278i
\(391\) 2.58967e11 0.560336
\(392\) −3.53436e8 + 6.12169e8i −0.000756003 + 0.00130944i
\(393\) 6.76958e11 1.17253e12i 1.43151 2.47945i
\(394\) 1.81404e11 + 3.14201e11i 0.379239 + 0.656862i
\(395\) 5.24459e11 1.08399
\(396\) −3.64473e11 6.31286e11i −0.744796 1.29003i
\(397\) −9.71219e10 + 1.68220e11i −0.196228 + 0.339876i −0.947302 0.320341i \(-0.896202\pi\)
0.751075 + 0.660217i \(0.229536\pi\)
\(398\) 7.06695e11 1.41175
\(399\) 5.91495e11 1.02450e12i 1.16835 2.02364i
\(400\) 5.34648e11 + 9.26038e11i 1.04424 + 1.80867i
\(401\) 1.94155e9 + 3.36286e9i 0.00374972 + 0.00649470i 0.867894 0.496749i \(-0.165473\pi\)
−0.864144 + 0.503244i \(0.832140\pi\)
\(402\) 2.56632e10 + 4.44500e10i 0.0490110 + 0.0848896i
\(403\) 7.52752e7 0.000142161
\(404\) −4.03680e11 6.99194e11i −0.753912 1.30581i
\(405\) −1.70908e12 2.96021e12i −3.15656 5.46733i
\(406\) 3.10519e11 5.37835e11i 0.567180 0.982385i
\(407\) 1.86095e11 3.22326e11i 0.336171 0.582265i
\(408\) −1.21138e10 −0.0216426
\(409\) −4.76479e11 −0.841955 −0.420978 0.907071i \(-0.638313\pi\)
−0.420978 + 0.907071i \(0.638313\pi\)
\(410\) −8.58245e11 + 1.48652e12i −1.49998 + 2.59803i
\(411\) −1.79864e11 + 3.11533e11i −0.310925 + 0.538538i
\(412\) −3.77412e11 6.53697e11i −0.645325 1.11774i
\(413\) 1.28981e11 + 2.23401e11i 0.218147 + 0.377842i
\(414\) −9.40378e11 −1.57326
\(415\) 9.46586e10 + 1.63954e11i 0.156655 + 0.271334i
\(416\) −2.30182e9 3.98686e9i −0.00376834 0.00652696i
\(417\) −8.29592e11 1.43690e12i −1.34355 2.32709i
\(418\) −2.72897e11 + 4.72672e11i −0.437226 + 0.757297i
\(419\) 7.84507e11 1.24347 0.621733 0.783229i \(-0.286429\pi\)
0.621733 + 0.783229i \(0.286429\pi\)
\(420\) −1.16337e12 + 2.01502e12i −1.82430 + 3.15978i
\(421\) −1.68026e11 2.91029e11i −0.260679 0.451509i 0.705743 0.708467i \(-0.250613\pi\)
−0.966423 + 0.256958i \(0.917280\pi\)
\(422\) 3.02109e11 0.463722
\(423\) 1.23660e12 + 2.14186e12i 1.87801 + 3.25282i
\(424\) 2.66366e8 4.61359e8i 0.000400251 0.000693255i
\(425\) −9.48979e11 + 1.64368e12i −1.41093 + 2.44381i
\(426\) −1.25793e12 −1.85061
\(427\) 3.86048e11 6.68655e11i 0.561974 0.973368i
\(428\) −4.27561e11 −0.615887
\(429\) −3.99499e9 −0.00569453
\(430\) −1.21850e12 1.26433e12i −1.71877 1.78341i
\(431\) −6.36988e11 −0.889167 −0.444584 0.895737i \(-0.646648\pi\)
−0.444584 + 0.895737i \(0.646648\pi\)
\(432\) 2.38461e12 3.29413
\(433\) −4.94721e11 + 8.56882e11i −0.676340 + 1.17145i 0.299736 + 0.954022i \(0.403102\pi\)
−0.976075 + 0.217433i \(0.930232\pi\)
\(434\) 3.02327e10 0.0409047
\(435\) −9.30798e11 + 1.61219e12i −1.24639 + 2.15881i
\(436\) −3.10439e11 + 5.37696e11i −0.411421 + 0.712602i
\(437\) 1.75508e11 + 3.03989e11i 0.230213 + 0.398741i
\(438\) 2.51035e12 3.25912
\(439\) −1.76868e11 3.06344e11i −0.227278 0.393657i 0.729722 0.683744i \(-0.239649\pi\)
−0.957001 + 0.290086i \(0.906316\pi\)
\(440\) −3.16442e9 + 5.48093e9i −0.00402491 + 0.00697135i
\(441\) 3.92085e11 0.493636
\(442\) 4.10957e9 7.11799e9i 0.00512149 0.00887068i
\(443\) −2.35439e11 4.07792e11i −0.290443 0.503063i 0.683471 0.729977i \(-0.260469\pi\)
−0.973915 + 0.226915i \(0.927136\pi\)
\(444\) −9.49601e11 1.64476e12i −1.15963 2.00853i
\(445\) 1.25195e11 + 2.16844e11i 0.151345 + 0.262137i
\(446\) 1.91242e11 0.228863
\(447\) −1.03946e11 1.80039e11i −0.123147 0.213296i
\(448\) −4.58163e11 7.93561e11i −0.537364 0.930742i
\(449\) 6.70134e11 1.16071e12i 0.778131 1.34776i −0.154886 0.987932i \(-0.549501\pi\)
0.933018 0.359831i \(-0.117166\pi\)
\(450\) 3.44600e12 5.96864e12i 3.96149 6.86150i
\(451\) −5.90101e11 −0.671633
\(452\) 6.36788e11 0.717582
\(453\) −1.38407e11 + 2.39727e11i −0.154424 + 0.267470i
\(454\) −8.80568e11 + 1.52519e12i −0.972773 + 1.68489i
\(455\) 4.65364e9 + 8.06034e9i 0.00509028 + 0.00881662i
\(456\) −8.20980e9 1.42198e10i −0.00889182 0.0154011i
\(457\) 1.56396e12 1.67727 0.838637 0.544691i \(-0.183353\pi\)
0.838637 + 0.544691i \(0.183353\pi\)
\(458\) −9.18248e11 1.59045e12i −0.975137 1.68899i
\(459\) 2.11629e12 + 3.66552e12i 2.22545 + 3.85460i
\(460\) −3.45195e11 5.97895e11i −0.359463 0.622608i
\(461\) −5.76120e11 + 9.97869e11i −0.594099 + 1.02901i 0.399574 + 0.916701i \(0.369158\pi\)
−0.993673 + 0.112309i \(0.964175\pi\)
\(462\) −1.60451e12 −1.63852
\(463\) −7.57763e11 + 1.31248e12i −0.766335 + 1.32733i 0.173203 + 0.984886i \(0.444588\pi\)
−0.939538 + 0.342445i \(0.888745\pi\)
\(464\) −3.70905e11 6.42427e11i −0.371477 0.643417i
\(465\) −9.06243e10 −0.0898889
\(466\) −3.27812e10 5.67787e10i −0.0322024 0.0557762i
\(467\) 1.26118e10 2.18443e10i 0.0122702 0.0212526i −0.859825 0.510589i \(-0.829428\pi\)
0.872095 + 0.489336i \(0.162761\pi\)
\(468\) −7.43955e9 + 1.28857e10i −0.00716870 + 0.0124166i
\(469\) 4.11086e10 0.0392333
\(470\) −1.82109e12 + 3.15422e12i −1.72143 + 2.98161i
\(471\) 2.54027e12 2.37841
\(472\) 3.58044e9 0.00332045
\(473\) 1.66973e11 5.80105e11i 0.153380 0.532882i
\(474\) 1.84549e12 1.67922
\(475\) −2.57258e12 −2.31872
\(476\) 8.22837e11 1.42520e12i 0.734654 1.27246i
\(477\) −2.95494e11 −0.261346
\(478\) 1.16095e12 2.01082e12i 1.01716 1.76177i
\(479\) 2.60693e11 4.51533e11i 0.226266 0.391904i −0.730433 0.682985i \(-0.760682\pi\)
0.956698 + 0.291081i \(0.0940149\pi\)
\(480\) 2.77117e12 + 4.79981e12i 2.38275 + 4.12704i
\(481\) −7.59706e9 −0.00647132
\(482\) 1.09002e12 + 1.88796e12i 0.919859 + 1.59324i
\(483\) −5.15952e11 + 8.93656e11i −0.431368 + 0.747151i
\(484\) −8.31147e11 −0.688452
\(485\) −3.14565e11 + 5.44843e11i −0.258150 + 0.447130i
\(486\) −3.16998e12 5.49057e12i −2.57747 4.46431i
\(487\) −7.78251e11 1.34797e12i −0.626959 1.08593i −0.988158 0.153437i \(-0.950966\pi\)
0.361199 0.932489i \(-0.382368\pi\)
\(488\) −5.35825e9 9.28077e9i −0.00427695 0.00740789i
\(489\) 1.84496e12 1.45914
\(490\) 2.88703e11 + 5.00048e11i 0.226239 + 0.391858i
\(491\) −3.45073e11 5.97684e11i −0.267944 0.464093i 0.700387 0.713764i \(-0.253011\pi\)
−0.968331 + 0.249671i \(0.919678\pi\)
\(492\) −1.50558e12 + 2.60773e12i −1.15840 + 2.00641i
\(493\) 6.58341e11 1.14028e12i 0.501926 0.869362i
\(494\) 1.11406e10 0.00841663
\(495\) 3.51045e12 2.62809
\(496\) 1.80560e10 3.12739e10i 0.0133954 0.0232014i
\(497\) −5.03755e11 + 8.72529e11i −0.370353 + 0.641470i
\(498\) 3.33088e11 + 5.76926e11i 0.242676 + 0.420328i
\(499\) −7.33581e10 1.27060e11i −0.0529658 0.0917395i 0.838327 0.545168i \(-0.183534\pi\)
−0.891293 + 0.453428i \(0.850201\pi\)
\(500\) 2.62297e12 1.87685
\(501\) 3.00438e11 + 5.20373e11i 0.213051 + 0.369016i
\(502\) 9.27800e11 + 1.60700e12i 0.652060 + 1.12940i
\(503\) −1.11343e11 1.92852e11i −0.0775545 0.134328i 0.824640 0.565658i \(-0.191378\pi\)
−0.902194 + 0.431330i \(0.858045\pi\)
\(504\) 1.76157e10 3.05113e10i 0.0121608 0.0210631i
\(505\) 3.88807e12 2.66025
\(506\) 2.38044e11 4.12304e11i 0.161428 0.279602i
\(507\) −1.43126e12 2.47902e12i −0.962018 1.66626i
\(508\) 1.58024e11 0.105277
\(509\) −1.16682e12 2.02100e12i −0.770504 1.33455i −0.937287 0.348558i \(-0.886671\pi\)
0.166783 0.985994i \(-0.446662\pi\)
\(510\) −4.94754e12 + 8.56940e12i −3.23835 + 5.60899i
\(511\) 1.00530e12 1.74123e12i 0.652231 1.12970i
\(512\) −2.19557e12 −1.41199
\(513\) −2.86852e12 + 4.96843e12i −1.82865 + 3.16731i
\(514\) 2.91558e12 1.84243
\(515\) 3.63508e12 2.27709
\(516\) −2.13755e12 2.21795e12i −1.32737 1.37730i
\(517\) −1.25212e12 −0.770794
\(518\) −3.05120e12 −1.86203
\(519\) 7.48834e10 1.29702e11i 0.0453036 0.0784681i
\(520\) 1.29183e8 7.74800e−5
\(521\) −3.97441e11 + 6.88387e11i −0.236321 + 0.409320i −0.959656 0.281177i \(-0.909275\pi\)
0.723335 + 0.690498i \(0.242608\pi\)
\(522\) −2.39061e12 + 4.14066e12i −1.40926 + 2.44092i
\(523\) 1.20480e12 + 2.08677e12i 0.704135 + 1.21960i 0.967003 + 0.254766i \(0.0819984\pi\)
−0.262868 + 0.964832i \(0.584668\pi\)
\(524\) 2.55292e12 1.47927
\(525\) −3.78139e12 6.54957e12i −2.17238 3.76267i
\(526\) 2.17989e12 3.77568e12i 1.24165 2.15060i
\(527\) 6.40974e10 0.0361986
\(528\) −9.58266e11 + 1.65977e12i −0.536579 + 0.929382i
\(529\) 7.47483e11 + 1.29468e12i 0.415003 + 0.718806i
\(530\) −2.17580e11 3.76859e11i −0.119778 0.207462i
\(531\) −9.92992e11 1.71991e12i −0.542027 0.938818i
\(532\) 2.23063e12 1.20733
\(533\) 6.02250e9 + 1.04313e10i 0.00323225 + 0.00559842i
\(534\) 4.40541e11 + 7.63040e11i 0.234450 + 0.406080i
\(535\) 1.02952e12 1.78318e12i 0.543304 0.941030i
\(536\) 2.85289e8 4.94134e8i 0.000149294 0.000258585i
\(537\) 1.14187e12 0.592561
\(538\) −3.01303e12 −1.55054
\(539\) −9.92512e10 + 1.71908e11i −0.0506508 + 0.0877297i
\(540\) 5.64190e12 9.77206e12i 2.85531 4.94555i
\(541\) 1.23980e12 + 2.14739e12i 0.622248 + 1.07776i 0.989066 + 0.147472i \(0.0471137\pi\)
−0.366819 + 0.930293i \(0.619553\pi\)
\(542\) −2.30403e12 3.99069e12i −1.14681 1.98633i
\(543\) −4.34590e12 −2.14526
\(544\) −1.96001e12 3.39484e12i −0.959542 1.66197i
\(545\) −1.49501e12 2.58943e12i −0.725870 1.25724i
\(546\) 1.63754e10 + 2.83630e10i 0.00788543 + 0.0136580i
\(547\) −1.71219e12 + 2.96560e12i −0.817729 + 1.41635i 0.0896222 + 0.995976i \(0.471434\pi\)
−0.907351 + 0.420373i \(0.861899\pi\)
\(548\) −6.78297e11 −0.321298
\(549\) −2.97210e12 + 5.14782e12i −1.39633 + 2.41851i
\(550\) 1.74462e12 + 3.02176e12i 0.812957 + 1.40808i
\(551\) 1.78470e12 0.824863
\(552\) 7.16129e9 + 1.24037e10i 0.00328296 + 0.00568625i
\(553\) 7.39048e11 1.28007e12i 0.336054 0.582063i
\(554\) 3.17672e11 5.50224e11i 0.143280 0.248168i
\(555\) 9.14615e12 4.09185
\(556\) 1.56427e12 2.70939e12i 0.694183 1.20236i
\(557\) −1.31782e12 −0.580105 −0.290053 0.957011i \(-0.593673\pi\)
−0.290053 + 0.957011i \(0.593673\pi\)
\(558\) −2.32755e11 −0.101635
\(559\) −1.19587e10 + 2.96889e9i −0.00518001 + 0.00128600i
\(560\) 4.46502e12 1.91857
\(561\) −3.40177e12 −1.45001
\(562\) 2.04914e12 3.54921e12i 0.866477 1.50078i
\(563\) 2.81101e12 1.17916 0.589582 0.807708i \(-0.299292\pi\)
0.589582 + 0.807708i \(0.299292\pi\)
\(564\) −3.19464e12 + 5.53328e12i −1.32943 + 2.30264i
\(565\) −1.53332e12 + 2.65578e12i −0.633015 + 1.09641i
\(566\) −1.53058e12 2.65104e12i −0.626875 1.08578i
\(567\) −9.63348e12 −3.91435
\(568\) 6.99199e9 + 1.21105e10i 0.00281860 + 0.00488196i
\(569\) 2.04692e12 3.54536e12i 0.818643 1.41793i −0.0880390 0.996117i \(-0.528060\pi\)
0.906682 0.421815i \(-0.138607\pi\)
\(570\) −1.34123e13 −5.32189
\(571\) 2.14715e11 3.71898e11i 0.0845280 0.146407i −0.820662 0.571414i \(-0.806395\pi\)
0.905190 + 0.425007i \(0.139728\pi\)
\(572\) −3.76645e9 6.52368e9i −0.00147113 0.00254806i
\(573\) 2.30760e12 + 3.99688e12i 0.894261 + 1.54891i
\(574\) 2.41881e12 + 4.18951e12i 0.930035 + 1.61087i
\(575\) 2.24403e12 0.856096
\(576\) 3.52729e12 + 6.10944e12i 1.33518 + 2.31260i
\(577\) −5.26985e11 9.12765e11i −0.197928 0.342821i 0.749929 0.661519i \(-0.230088\pi\)
−0.947856 + 0.318698i \(0.896755\pi\)
\(578\) 1.60471e12 2.77944e12i 0.598027 1.03581i
\(579\) 4.30610e12 7.45839e12i 1.59232 2.75798i
\(580\) −3.51020e12 −1.28797
\(581\) 5.33558e11 0.194262
\(582\) −1.10690e12 + 1.91721e12i −0.399905 + 0.692655i
\(583\) 7.48003e10 1.29558e11i 0.0268161 0.0464468i
\(584\) −1.39533e10 2.41678e10i −0.00496386 0.00859765i
\(585\) −3.58273e10 6.20547e10i −0.0126477 0.0219065i
\(586\) −1.56586e12 −0.548547
\(587\) 1.93895e12 + 3.35835e12i 0.674053 + 1.16749i 0.976745 + 0.214406i \(0.0687814\pi\)
−0.302692 + 0.953089i \(0.597885\pi\)
\(588\) 5.06456e11 + 8.77208e11i 0.174721 + 0.302625i
\(589\) 4.34403e10 + 7.52409e10i 0.0148722 + 0.0257594i
\(590\) 1.46233e12 2.53283e12i 0.496835 0.860544i
\(591\) −3.06503e12 −1.03345
\(592\) −1.82228e12 + 3.15629e12i −0.609773 + 1.05616i
\(593\) −6.58236e11 1.14010e12i −0.218593 0.378614i 0.735785 0.677215i \(-0.236813\pi\)
−0.954378 + 0.298601i \(0.903480\pi\)
\(594\) 7.78124e12 2.56454
\(595\) 3.96261e12 + 6.86344e12i 1.29615 + 2.24500i
\(596\) 1.95998e11 3.39479e11i 0.0636274 0.110206i
\(597\) −2.98511e12 + 5.17036e12i −0.961781 + 1.66585i
\(598\) −9.71781e9 −0.00310751
\(599\) 1.60022e12 2.77165e12i 0.507876 0.879667i −0.492082 0.870549i \(-0.663764\pi\)
0.999958 0.00911862i \(-0.00290259\pi\)
\(600\) −1.04970e11 −0.0330661
\(601\) −3.78914e12 −1.18469 −0.592346 0.805684i \(-0.701798\pi\)
−0.592346 + 0.805684i \(0.701798\pi\)
\(602\) −4.80296e12 + 1.19239e12i −1.49047 + 0.370029i
\(603\) −3.16486e11 −0.0974824
\(604\) −5.21954e11 −0.159575
\(605\) 2.00131e12 3.46638e12i 0.607318 1.05191i
\(606\) 1.36815e13 4.12104
\(607\) −3.92483e11 + 6.79801e11i −0.117347 + 0.203251i −0.918715 0.394920i \(-0.870772\pi\)
0.801369 + 0.598171i \(0.204106\pi\)
\(608\) 2.65670e12 4.60153e12i 0.788453 1.36564i
\(609\) 2.62329e12 + 4.54368e12i 0.772803 + 1.33853i
\(610\) −8.75373e12 −2.55982
\(611\) 1.27790e10 + 2.21339e10i 0.00370946 + 0.00642498i
\(612\) −6.33483e12 + 1.09723e13i −1.82538 + 3.16165i
\(613\) 5.19504e12 1.48599 0.742996 0.669296i \(-0.233404\pi\)
0.742996 + 0.669296i \(0.233404\pi\)
\(614\) −8.80738e11 + 1.52548e12i −0.250086 + 0.433161i
\(615\) −7.25053e12 1.25583e13i −2.04377 3.53991i
\(616\) 8.91835e9 + 1.54470e10i 0.00249558 + 0.00432247i
\(617\) −8.58371e11 1.48674e12i −0.238447 0.413002i 0.721822 0.692079i \(-0.243305\pi\)
−0.960269 + 0.279077i \(0.909972\pi\)
\(618\) 1.27913e13 3.52748
\(619\) −2.87474e10 4.97919e10i −0.00787028 0.0136317i 0.862063 0.506800i \(-0.169172\pi\)
−0.869934 + 0.493169i \(0.835839\pi\)
\(620\) −8.54398e10 1.47986e11i −0.0232219 0.0402215i
\(621\) 2.50217e12 4.33389e12i 0.675157 1.16941i
\(622\) −2.50570e12 + 4.34000e12i −0.671232 + 1.16261i
\(623\) 7.05681e11 0.187677
\(624\) 3.91198e10 0.0103292
\(625\) −2.35548e12 + 4.07981e12i −0.617474 + 1.06950i
\(626\) −3.79789e12 + 6.57813e12i −0.988457 + 1.71206i
\(627\) −2.30546e12 3.99317e12i −0.595736 1.03184i
\(628\) 2.39495e12 + 4.14817e12i 0.614438 + 1.06424i
\(629\) −6.46895e12 −1.64781
\(630\) −1.43893e13 2.49230e13i −3.63921 6.30330i
\(631\) −2.41470e12 4.18238e12i −0.606360 1.05025i −0.991835 0.127528i \(-0.959296\pi\)
0.385475 0.922718i \(-0.374038\pi\)
\(632\) −1.02578e10 1.77670e10i −0.00255757 0.00442984i
\(633\) −1.27612e12 + 2.21031e12i −0.315919 + 0.547187i
\(634\) −9.83071e12 −2.41648
\(635\) −3.80504e11 + 6.59052e11i −0.0928704 + 0.160856i
\(636\) −3.81689e11 6.61105e11i −0.0925023 0.160219i
\(637\) 4.05178e9 0.000975032
\(638\) −1.21030e12 2.09631e12i −0.289202 0.500913i
\(639\) 3.87829e12 6.71740e12i 0.920209 1.59385i
\(640\) 6.16132e10 1.06717e11i 0.0145166 0.0251434i
\(641\) 2.34970e12 0.549732 0.274866 0.961483i \(-0.411367\pi\)
0.274866 + 0.961483i \(0.411367\pi\)
\(642\) 3.62272e12 6.27473e12i 0.841641 1.45776i
\(643\) 4.71162e12 1.08698 0.543489 0.839416i \(-0.317103\pi\)
0.543489 + 0.839416i \(0.317103\pi\)
\(644\) −1.94574e12 −0.445758
\(645\) 1.43971e13 3.57427e12i 3.27535 0.813145i
\(646\) 9.48633e12 2.14315
\(647\) 4.95647e12 1.11200 0.555998 0.831184i \(-0.312336\pi\)
0.555998 + 0.831184i \(0.312336\pi\)
\(648\) −6.68551e10 + 1.15796e11i −0.0148952 + 0.0257993i
\(649\) 1.00545e12 0.222464
\(650\) 3.56107e10 6.16796e10i 0.00782475 0.0135529i
\(651\) −1.27704e11 + 2.21190e11i −0.0278671 + 0.0482672i
\(652\) 1.73942e12 + 3.01276e12i 0.376955 + 0.652905i
\(653\) −4.02527e12 −0.866334 −0.433167 0.901314i \(-0.642604\pi\)
−0.433167 + 0.901314i \(0.642604\pi\)
\(654\) −5.26069e12 9.11178e12i −1.12446 1.94762i
\(655\) −6.14716e12 + 1.06472e13i −1.30494 + 2.26021i
\(656\) 5.77840e12 1.21826
\(657\) −7.73957e12 + 1.34053e13i −1.62059 + 2.80694i
\(658\) 5.13242e12 + 8.88961e12i 1.06735 + 1.84870i
\(659\) −1.99364e12 3.45309e12i −0.411778 0.713220i 0.583306 0.812252i \(-0.301759\pi\)
−0.995084 + 0.0990320i \(0.968425\pi\)
\(660\) 4.53445e12 + 7.85390e12i 0.930201 + 1.61116i
\(661\) −6.02250e12 −1.22707 −0.613536 0.789667i \(-0.710253\pi\)
−0.613536 + 0.789667i \(0.710253\pi\)
\(662\) −3.39950e12 5.88810e12i −0.687945 1.19156i
\(663\) 3.47180e10 + 6.01334e10i 0.00697821 + 0.0120866i
\(664\) 3.70282e9 6.41348e9i 0.000739225 0.00128037i
\(665\) −5.37111e12 + 9.30304e12i −1.06504 + 1.84471i
\(666\) 2.34905e13 4.62656
\(667\) −1.55676e12 −0.304548
\(668\) −5.66500e11 + 9.81207e11i −0.110079 + 0.190663i
\(669\) −8.07814e11 + 1.39918e12i −0.155917 + 0.270057i
\(670\) −2.33037e11 4.03631e11i −0.0446774 0.0773835i
\(671\) −1.50469e12 2.60621e12i −0.286548 0.496315i
\(672\) 1.56201e13 2.95476
\(673\) −1.53202e12 2.65354e12i −0.287871 0.498606i 0.685431 0.728138i \(-0.259614\pi\)
−0.973301 + 0.229531i \(0.926281\pi\)
\(674\) −5.47827e12 9.48864e12i −1.02253 1.77107i
\(675\) 1.83383e13 + 3.17629e13i 3.40011 + 5.88916i
\(676\) 2.69876e12 4.67440e12i 0.497055 0.860925i
\(677\) −2.40631e12 −0.440253 −0.220127 0.975471i \(-0.570647\pi\)
−0.220127 + 0.975471i \(0.570647\pi\)
\(678\) −5.39550e12 + 9.34528e12i −0.980614 + 1.69847i
\(679\) 8.86547e11 + 1.53554e12i 0.160062 + 0.277235i
\(680\) 1.10000e11 0.0197289
\(681\) −7.43911e12 1.28849e13i −1.32544 2.29572i
\(682\) 5.89187e10 1.02050e11i 0.0104285 0.0180628i
\(683\) −7.15917e11 + 1.24000e12i −0.125884 + 0.218037i −0.922078 0.387004i \(-0.873510\pi\)
0.796194 + 0.605041i \(0.206843\pi\)
\(684\) −1.71731e13 −2.99982
\(685\) 1.63327e12 2.82890e12i 0.283433 0.490920i
\(686\) −7.28049e12 −1.25517
\(687\) 1.55149e13 2.65732
\(688\) −1.63503e12 + 5.68051e12i −0.278214 + 0.966584i
\(689\) −3.05361e9 −0.000516212
\(690\) 1.16993e13 1.96490
\(691\) −4.93337e12 + 8.54485e12i −0.823176 + 1.42578i 0.0801293 + 0.996784i \(0.474467\pi\)
−0.903305 + 0.428998i \(0.858867\pi\)
\(692\) 2.82398e11 0.0468149
\(693\) 4.94680e12 8.56811e12i 0.814751 1.41119i
\(694\) −8.59302e11 + 1.48835e12i −0.140614 + 0.243550i
\(695\) 7.53317e12 + 1.30478e13i 1.22475 + 2.12132i
\(696\) 7.28213e10 0.0117630
\(697\) 5.12821e12 + 8.88231e12i 0.823034 + 1.42554i
\(698\) −4.75050e12 + 8.22810e12i −0.757512 + 1.31205i
\(699\) 5.53877e11 0.0877538
\(700\) 7.13014e12 1.23498e13i 1.12242 1.94409i
\(701\) −3.87809e12 6.71705e12i −0.606579 1.05062i −0.991800 0.127801i \(-0.959208\pi\)
0.385221 0.922824i \(-0.374125\pi\)
\(702\) −7.94145e10 1.37550e11i −0.0123419 0.0213768i
\(703\) −4.38417e12 7.59360e12i −0.676999 1.17260i
\(704\) −3.57154e12 −0.547998
\(705\) −1.53847e13 2.66471e13i −2.34552 4.06255i
\(706\) 9.44340e11 + 1.63565e12i 0.143056 + 0.247781i
\(707\) 5.47893e12 9.48978e12i 0.824723 1.42846i
\(708\) 2.56530e12 4.44322e12i 0.383696 0.664582i
\(709\) −8.14620e12 −1.21073 −0.605364 0.795948i \(-0.706973\pi\)
−0.605364 + 0.795948i \(0.706973\pi\)
\(710\) 1.14228e13 1.68697
\(711\) −5.68976e12 + 9.85496e12i −0.834989 + 1.44624i
\(712\) 4.89734e9 8.48243e9i 0.000714167 0.00123697i
\(713\) −3.78924e10 6.56315e10i −0.00549097 0.00951063i
\(714\) 1.39438e13 + 2.41513e13i 2.00788 + 3.47776i
\(715\) 3.62768e10 0.00519101
\(716\) 1.07655e12 + 1.86464e12i 0.153082 + 0.265146i
\(717\) 9.80781e12 + 1.69876e13i 1.38591 + 2.40047i
\(718\) −2.67429e12 4.63200e12i −0.375533 0.650442i
\(719\) 2.98254e12 5.16591e12i 0.416204 0.720887i −0.579350 0.815079i \(-0.696694\pi\)
0.995554 + 0.0941924i \(0.0300269\pi\)
\(720\) −3.43751e13 −4.76703
\(721\) 5.12241e12 8.87228e12i 0.705937 1.22272i
\(722\) 1.27368e12 + 2.20608e12i 0.174439 + 0.302138i
\(723\) −1.84171e13 −2.50668
\(724\) −4.09728e12 7.09670e12i −0.554207 0.959915i
\(725\) 5.70473e12 9.88088e12i 0.766856 1.32823i
\(726\) 7.04230e12 1.21976e13i 0.940806 1.62952i
\(727\) 9.19963e12 1.22142 0.610711 0.791854i \(-0.290884\pi\)
0.610711 + 0.791854i \(0.290884\pi\)
\(728\) 1.82039e8 3.15302e8i 2.40201e−5 4.16040e-5i
\(729\) 2.61133e13 3.42443
\(730\) −2.27954e13 −2.97094
\(731\) −1.01829e13 + 2.52803e12i −1.31900 + 0.327457i
\(732\) −1.53562e13 −1.97690
\(733\) 1.52882e13 1.95609 0.978045 0.208392i \(-0.0668230\pi\)
0.978045 + 0.208392i \(0.0668230\pi\)
\(734\) 3.06016e12 5.30036e12i 0.389146 0.674020i
\(735\) −4.87797e12 −0.616519
\(736\) −2.31740e12 + 4.01385e12i −0.291105 + 0.504209i
\(737\) 8.01141e10 1.38762e11i 0.0100024 0.0173247i
\(738\) −1.86219e13 3.22541e13i −2.31084 4.00250i
\(739\) −2.96618e12 −0.365846 −0.182923 0.983127i \(-0.558556\pi\)
−0.182923 + 0.983127i \(0.558556\pi\)
\(740\) 8.62292e12 + 1.49353e13i 1.05709 + 1.83093i
\(741\) −4.70585e10 + 8.15078e10i −0.00573398 + 0.00993155i
\(742\) −1.22642e12 −0.148533
\(743\) −2.06882e12 + 3.58330e12i −0.249042 + 0.431353i −0.963260 0.268570i \(-0.913449\pi\)
0.714218 + 0.699923i \(0.246782\pi\)
\(744\) 1.77250e9 + 3.07007e9i 0.000212085 + 0.000367341i
\(745\) 9.43886e11 + 1.63486e12i 0.112258 + 0.194436i
\(746\) 1.96264e12 + 3.39940e12i 0.232015 + 0.401862i
\(747\) −4.10774e12 −0.482681
\(748\) −3.20716e12 5.55496e12i −0.374596 0.648819i
\(749\) −2.90152e12 5.02559e12i −0.336867 0.583470i
\(750\) −2.22244e13 + 3.84939e13i −2.56481 + 4.44238i
\(751\) 1.22232e12 2.11711e12i 0.140218 0.242865i −0.787361 0.616493i \(-0.788553\pi\)
0.927579 + 0.373628i \(0.121886\pi\)
\(752\) 1.22610e13 1.39813
\(753\) −1.56763e13 −1.77691
\(754\) −2.47045e10 + 4.27894e10i −0.00278358 + 0.00482131i
\(755\) 1.25681e12 2.17686e12i 0.140769 0.243820i
\(756\) −1.59007e13 2.75409e13i −1.77039 3.06640i
\(757\) −6.04234e11 1.04656e12i −0.0668766 0.115834i 0.830648 0.556797i \(-0.187970\pi\)
−0.897525 + 0.440964i \(0.854637\pi\)
\(758\) 1.63670e13 1.80076
\(759\) 2.01102e12 + 3.48318e12i 0.219952 + 0.380968i
\(760\) 7.45497e10 + 1.29124e11i 0.00810559 + 0.0140393i
\(761\) 4.03709e12 + 6.99245e12i 0.436353 + 0.755785i 0.997405 0.0719952i \(-0.0229366\pi\)
−0.561052 + 0.827780i \(0.689603\pi\)
\(762\) −1.33893e12 + 2.31910e12i −0.143867 + 0.249185i
\(763\) −8.42683e12