Properties

Label 43.10.c.a.6.9
Level 43
Weight 10
Character 43.6
Analytic conductor 22.147
Analytic rank 0
Dimension 64
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 6.9
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.9

$q$-expansion

\(f(q)\) \(=\) \(q-25.7600 q^{2} +(66.1575 - 114.588i) q^{3} +151.580 q^{4} +(-107.144 + 185.579i) q^{5} +(-1704.22 + 2951.80i) q^{6} +(-2358.57 - 4085.17i) q^{7} +9284.43 q^{8} +(1087.86 + 1884.23i) q^{9} +O(q^{10})\) \(q-25.7600 q^{2} +(66.1575 - 114.588i) q^{3} +151.580 q^{4} +(-107.144 + 185.579i) q^{5} +(-1704.22 + 2951.80i) q^{6} +(-2358.57 - 4085.17i) q^{7} +9284.43 q^{8} +(1087.86 + 1884.23i) q^{9} +(2760.03 - 4780.51i) q^{10} +40601.9 q^{11} +(10028.2 - 17369.3i) q^{12} +(22035.2 + 38166.0i) q^{13} +(60756.9 + 105234. i) q^{14} +(14176.7 + 24554.8i) q^{15} -316776. q^{16} +(142684. + 247135. i) q^{17} +(-28023.4 - 48537.9i) q^{18} +(-290138. + 502534. i) q^{19} +(-16240.9 + 28130.0i) q^{20} -624149. q^{21} -1.04591e6 q^{22} +(1.10195e6 - 1.90863e6i) q^{23} +(614235. - 1.06389e6i) q^{24} +(953603. + 1.65169e6i) q^{25} +(-567627. - 983159. i) q^{26} +2.89224e6 q^{27} +(-357513. - 619230. i) q^{28} +(-2.97467e6 - 5.15228e6i) q^{29} +(-365194. - 632534. i) q^{30} +(2.58112e6 - 4.47063e6i) q^{31} +3.40655e6 q^{32} +(2.68612e6 - 4.65250e6i) q^{33} +(-3.67553e6 - 6.36621e6i) q^{34} +1.01083e6 q^{35} +(164898. + 285612. i) q^{36} +(8.38706e6 - 1.45268e7i) q^{37} +(7.47397e6 - 1.29453e7i) q^{38} +5.83117e6 q^{39} +(-994770. + 1.72299e6i) q^{40} -3.01904e6 q^{41} +1.60781e7 q^{42} +(-1.90060e7 - 1.18896e7i) q^{43} +6.15445e6 q^{44} -466230. q^{45} +(-2.83863e7 + 4.91665e7i) q^{46} -1.15396e7 q^{47} +(-2.09572e7 + 3.62989e7i) q^{48} +(9.05108e6 - 1.56769e7i) q^{49} +(-2.45649e7 - 4.25476e7i) q^{50} +3.77584e7 q^{51} +(3.34009e6 + 5.78521e6i) q^{52} +(-2.44440e7 + 4.23382e7i) q^{53} -7.45042e7 q^{54} +(-4.35025e6 + 7.53485e6i) q^{55} +(-2.18980e7 - 3.79285e7i) q^{56} +(3.83897e7 + 6.64928e7i) q^{57} +(7.66276e7 + 1.32723e8i) q^{58} +1.15699e8 q^{59} +(2.14891e6 + 3.72203e6i) q^{60} +(-1.84310e7 - 3.19234e7i) q^{61} +(-6.64898e7 + 1.15164e8i) q^{62} +(5.13160e6 - 8.88819e6i) q^{63} +7.44367e7 q^{64} -9.44373e6 q^{65} +(-6.91947e7 + 1.19849e8i) q^{66} +(9.56505e7 - 1.65671e8i) q^{67} +(2.16280e7 + 3.74608e7i) q^{68} +(-1.45805e8 - 2.52541e8i) q^{69} -2.60389e7 q^{70} +(-6.35391e7 - 1.10053e8i) q^{71} +(1.01002e7 + 1.74940e7i) q^{72} +(2.42775e7 + 4.20498e7i) q^{73} +(-2.16051e8 + 3.74212e8i) q^{74} +2.52352e8 q^{75} +(-4.39792e7 + 7.61742e7i) q^{76} +(-9.57626e7 - 1.65866e8i) q^{77} -1.50211e8 q^{78} +(6.59505e7 + 1.14230e8i) q^{79} +(3.39406e7 - 5.87869e7i) q^{80} +(1.69931e8 - 2.94329e8i) q^{81} +7.77707e7 q^{82} +(-1.42012e8 + 2.45972e8i) q^{83} -9.46086e7 q^{84} -6.11506e7 q^{85} +(4.89596e8 + 3.06278e8i) q^{86} -7.87187e8 q^{87} +3.76966e8 q^{88} +(-3.45807e8 + 5.98956e8i) q^{89} +1.20101e7 q^{90} +(1.03943e8 - 1.80035e8i) q^{91} +(1.67034e8 - 2.89311e8i) q^{92} +(-3.41521e8 - 5.91532e8i) q^{93} +2.97261e8 q^{94} +(-6.21730e7 - 1.07687e8i) q^{95} +(2.25369e8 - 3.90350e8i) q^{96} +9.14715e8 q^{97} +(-2.33156e8 + 4.03839e8i) q^{98} +(4.41693e7 + 7.65034e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −25.7600 −1.13844 −0.569222 0.822184i \(-0.692756\pi\)
−0.569222 + 0.822184i \(0.692756\pi\)
\(3\) 66.1575 114.588i 0.471556 0.816760i −0.527914 0.849298i \(-0.677026\pi\)
0.999470 + 0.0325381i \(0.0103590\pi\)
\(4\) 151.580 0.296055
\(5\) −107.144 + 185.579i −0.0766659 + 0.132789i −0.901809 0.432134i \(-0.857761\pi\)
0.825144 + 0.564923i \(0.191094\pi\)
\(6\) −1704.22 + 2951.80i −0.536841 + 0.929835i
\(7\) −2358.57 4085.17i −0.371285 0.643085i 0.618478 0.785802i \(-0.287750\pi\)
−0.989764 + 0.142717i \(0.954416\pi\)
\(8\) 9284.43 0.801402
\(9\) 1087.86 + 1884.23i 0.0552691 + 0.0957288i
\(10\) 2760.03 4780.51i 0.0872798 0.151173i
\(11\) 40601.9 0.836141 0.418071 0.908415i \(-0.362706\pi\)
0.418071 + 0.908415i \(0.362706\pi\)
\(12\) 10028.2 17369.3i 0.139607 0.241806i
\(13\) 22035.2 + 38166.0i 0.213979 + 0.370623i 0.952956 0.303108i \(-0.0980242\pi\)
−0.738977 + 0.673730i \(0.764691\pi\)
\(14\) 60756.9 + 105234.i 0.422688 + 0.732117i
\(15\) 14176.7 + 24554.8i 0.0723046 + 0.125235i
\(16\) −316776. −1.20841
\(17\) 142684. + 247135.i 0.414337 + 0.717653i 0.995359 0.0962354i \(-0.0306802\pi\)
−0.581022 + 0.813888i \(0.697347\pi\)
\(18\) −28023.4 48537.9i −0.0629207 0.108982i
\(19\) −290138. + 502534.i −0.510756 + 0.884656i 0.489166 + 0.872191i \(0.337301\pi\)
−0.999922 + 0.0124651i \(0.996032\pi\)
\(20\) −16240.9 + 28130.0i −0.0226973 + 0.0393129i
\(21\) −624149. −0.700328
\(22\) −1.04591e6 −0.951900
\(23\) 1.10195e6 1.90863e6i 0.821083 1.42216i −0.0837942 0.996483i \(-0.526704\pi\)
0.904877 0.425674i \(-0.139963\pi\)
\(24\) 614235. 1.06389e6i 0.377906 0.654553i
\(25\) 953603. + 1.65169e6i 0.488245 + 0.845665i
\(26\) −567627. 983159.i −0.243603 0.421933i
\(27\) 2.89224e6 1.04736
\(28\) −357513. 619230.i −0.109921 0.190389i
\(29\) −2.97467e6 5.15228e6i −0.780994 1.35272i −0.931363 0.364091i \(-0.881380\pi\)
0.150370 0.988630i \(-0.451954\pi\)
\(30\) −365194. 632534.i −0.0823147 0.142573i
\(31\) 2.58112e6 4.47063e6i 0.501974 0.869444i −0.498024 0.867163i \(-0.665941\pi\)
0.999997 0.00228038i \(-0.000725869\pi\)
\(32\) 3.40655e6 0.574301
\(33\) 2.68612e6 4.65250e6i 0.394288 0.682927i
\(34\) −3.67553e6 6.36621e6i −0.471699 0.817007i
\(35\) 1.01083e6 0.113860
\(36\) 164898. + 285612.i 0.0163627 + 0.0283410i
\(37\) 8.38706e6 1.45268e7i 0.735702 1.27427i −0.218712 0.975789i \(-0.570186\pi\)
0.954414 0.298485i \(-0.0964811\pi\)
\(38\) 7.47397e6 1.29453e7i 0.581467 1.00713i
\(39\) 5.83117e6 0.403613
\(40\) −994770. + 1.72299e6i −0.0614402 + 0.106418i
\(41\) −3.01904e6 −0.166856 −0.0834280 0.996514i \(-0.526587\pi\)
−0.0834280 + 0.996514i \(0.526587\pi\)
\(42\) 1.60781e7 0.797284
\(43\) −1.90060e7 1.18896e7i −0.847780 0.530348i
\(44\) 6.15445e6 0.247544
\(45\) −466230. −0.0169490
\(46\) −2.83863e7 + 4.91665e7i −0.934757 + 1.61905i
\(47\) −1.15396e7 −0.344946 −0.172473 0.985014i \(-0.555176\pi\)
−0.172473 + 0.985014i \(0.555176\pi\)
\(48\) −2.09572e7 + 3.62989e7i −0.569832 + 0.986978i
\(49\) 9.05108e6 1.56769e7i 0.224294 0.388489i
\(50\) −2.45649e7 4.25476e7i −0.555839 0.962742i
\(51\) 3.77584e7 0.781533
\(52\) 3.34009e6 + 5.78521e6i 0.0633496 + 0.109725i
\(53\) −2.44440e7 + 4.23382e7i −0.425531 + 0.737041i −0.996470 0.0839517i \(-0.973246\pi\)
0.570939 + 0.820992i \(0.306579\pi\)
\(54\) −7.45042e7 −1.19236
\(55\) −4.35025e6 + 7.53485e6i −0.0641035 + 0.111031i
\(56\) −2.18980e7 3.79285e7i −0.297549 0.515370i
\(57\) 3.83897e7 + 6.64928e7i 0.481701 + 0.834330i
\(58\) 7.66276e7 + 1.32723e8i 0.889118 + 1.54000i
\(59\) 1.15699e8 1.24307 0.621535 0.783386i \(-0.286509\pi\)
0.621535 + 0.783386i \(0.286509\pi\)
\(60\) 2.14891e6 + 3.72203e6i 0.0214061 + 0.0370765i
\(61\) −1.84310e7 3.19234e7i −0.170437 0.295205i 0.768136 0.640287i \(-0.221185\pi\)
−0.938573 + 0.345082i \(0.887851\pi\)
\(62\) −6.64898e7 + 1.15164e8i −0.571469 + 0.989813i
\(63\) 5.13160e6 8.88819e6i 0.0410412 0.0710855i
\(64\) 7.44367e7 0.554597
\(65\) −9.44373e6 −0.0656196
\(66\) −6.91947e7 + 1.19849e8i −0.448875 + 0.777474i
\(67\) 9.56505e7 1.65671e8i 0.579896 1.00441i −0.415594 0.909550i \(-0.636426\pi\)
0.995491 0.0948600i \(-0.0302403\pi\)
\(68\) 2.16280e7 + 3.74608e7i 0.122667 + 0.212465i
\(69\) −1.45805e8 2.52541e8i −0.774374 1.34125i
\(70\) −2.60389e7 −0.129623
\(71\) −6.35391e7 1.10053e8i −0.296741 0.513971i 0.678647 0.734465i \(-0.262567\pi\)
−0.975388 + 0.220493i \(0.929233\pi\)
\(72\) 1.01002e7 + 1.74940e7i 0.0442928 + 0.0767173i
\(73\) 2.42775e7 + 4.20498e7i 0.100058 + 0.173305i 0.911708 0.410838i \(-0.134764\pi\)
−0.811650 + 0.584143i \(0.801431\pi\)
\(74\) −2.16051e8 + 3.74212e8i −0.837556 + 1.45069i
\(75\) 2.52352e8 0.920940
\(76\) −4.39792e7 + 7.61742e7i −0.151212 + 0.261907i
\(77\) −9.57626e7 1.65866e8i −0.310447 0.537710i
\(78\) −1.50211e8 −0.459491
\(79\) 6.59505e7 + 1.14230e8i 0.190500 + 0.329956i 0.945416 0.325865i \(-0.105656\pi\)
−0.754916 + 0.655822i \(0.772322\pi\)
\(80\) 3.39406e7 5.87869e7i 0.0926436 0.160463i
\(81\) 1.69931e8 2.94329e8i 0.438622 0.759715i
\(82\) 7.77707e7 0.189956
\(83\) −1.42012e8 + 2.45972e8i −0.328454 + 0.568899i −0.982205 0.187811i \(-0.939861\pi\)
0.653752 + 0.756709i \(0.273194\pi\)
\(84\) −9.46086e7 −0.207336
\(85\) −6.11506e7 −0.127062
\(86\) 4.89596e8 + 3.06278e8i 0.965150 + 0.603771i
\(87\) −7.87187e8 −1.47313
\(88\) 3.76966e8 0.670085
\(89\) −3.45807e8 + 5.98956e8i −0.584224 + 1.01190i 0.410748 + 0.911749i \(0.365268\pi\)
−0.994972 + 0.100156i \(0.968066\pi\)
\(90\) 1.20101e7 0.0192955
\(91\) 1.03943e8 1.80035e8i 0.158895 0.275214i
\(92\) 1.67034e8 2.89311e8i 0.243086 0.421036i
\(93\) −3.41521e8 5.91532e8i −0.473418 0.819984i
\(94\) 2.97261e8 0.392702
\(95\) −6.21730e7 1.07687e8i −0.0783152 0.135646i
\(96\) 2.25369e8 3.90350e8i 0.270815 0.469066i
\(97\) 9.14715e8 1.04909 0.524545 0.851383i \(-0.324235\pi\)
0.524545 + 0.851383i \(0.324235\pi\)
\(98\) −2.33156e8 + 4.03839e8i −0.255346 + 0.442273i
\(99\) 4.41693e7 + 7.65034e7i 0.0462128 + 0.0800428i
\(100\) 1.44547e8 + 2.50363e8i 0.144547 + 0.250363i
\(101\) −5.22564e8 9.05107e8i −0.499681 0.865474i 0.500318 0.865841i \(-0.333216\pi\)
−1.00000 0.000367784i \(0.999883\pi\)
\(102\) −9.72657e8 −0.889732
\(103\) 1.27804e8 + 2.21363e8i 0.111886 + 0.193793i 0.916531 0.399964i \(-0.130977\pi\)
−0.804644 + 0.593757i \(0.797644\pi\)
\(104\) 2.04584e8 + 3.54350e8i 0.171483 + 0.297018i
\(105\) 6.68737e7 1.15829e8i 0.0536913 0.0929960i
\(106\) 6.29679e8 1.09064e9i 0.484443 0.839080i
\(107\) 2.32198e9 1.71250 0.856252 0.516558i \(-0.172787\pi\)
0.856252 + 0.516558i \(0.172787\pi\)
\(108\) 4.38406e8 0.310077
\(109\) 5.91509e8 1.02452e9i 0.401367 0.695189i −0.592524 0.805553i \(-0.701868\pi\)
0.993891 + 0.110364i \(0.0352017\pi\)
\(110\) 1.12063e8 1.94098e8i 0.0729783 0.126402i
\(111\) −1.10973e9 1.92212e9i −0.693850 1.20178i
\(112\) 7.47140e8 + 1.29408e9i 0.448664 + 0.777108i
\(113\) −7.14606e8 −0.412300 −0.206150 0.978520i \(-0.566094\pi\)
−0.206150 + 0.978520i \(0.566094\pi\)
\(114\) −9.88919e8 1.71286e9i −0.548389 0.949838i
\(115\) 2.36134e8 + 4.08997e8i 0.125898 + 0.218062i
\(116\) −4.50901e8 7.80983e8i −0.231217 0.400480i
\(117\) −4.79424e7 + 8.30387e7i −0.0236528 + 0.0409679i
\(118\) −2.98041e9 −1.41517
\(119\) 6.73059e8 1.16577e9i 0.307675 0.532908i
\(120\) 1.31623e8 + 2.27978e8i 0.0579450 + 0.100364i
\(121\) −7.09430e8 −0.300868
\(122\) 4.74782e8 + 8.22347e8i 0.194033 + 0.336075i
\(123\) −1.99732e8 + 3.45947e8i −0.0786821 + 0.136281i
\(124\) 3.91247e8 6.77659e8i 0.148612 0.257403i
\(125\) −8.27221e8 −0.303059
\(126\) −1.32190e8 + 2.28960e8i −0.0467231 + 0.0809268i
\(127\) 4.09218e9 1.39585 0.697924 0.716172i \(-0.254107\pi\)
0.697924 + 0.716172i \(0.254107\pi\)
\(128\) −3.66165e9 −1.20568
\(129\) −2.61980e9 + 1.39128e9i −0.832943 + 0.442344i
\(130\) 2.43271e8 0.0747042
\(131\) 4.14478e8 0.122965 0.0614824 0.998108i \(-0.480417\pi\)
0.0614824 + 0.998108i \(0.480417\pi\)
\(132\) 4.07163e8 7.05227e8i 0.116731 0.202184i
\(133\) 2.73725e9 0.758545
\(134\) −2.46396e9 + 4.26770e9i −0.660180 + 1.14346i
\(135\) −3.09886e8 + 5.36737e8i −0.0802970 + 0.139078i
\(136\) 1.32474e9 + 2.29451e9i 0.332051 + 0.575128i
\(137\) 7.85705e8 0.190553 0.0952767 0.995451i \(-0.469626\pi\)
0.0952767 + 0.995451i \(0.469626\pi\)
\(138\) 3.75594e9 + 6.50547e9i 0.881581 + 1.52694i
\(139\) 1.91024e9 3.30864e9i 0.434033 0.751767i −0.563183 0.826332i \(-0.690424\pi\)
0.997216 + 0.0745652i \(0.0237569\pi\)
\(140\) 1.53221e8 0.0337087
\(141\) −7.63433e8 + 1.32230e9i −0.162661 + 0.281738i
\(142\) 1.63677e9 + 2.83497e9i 0.337824 + 0.585128i
\(143\) 8.94671e8 + 1.54961e9i 0.178917 + 0.309893i
\(144\) −3.44609e8 5.96880e8i −0.0667875 0.115679i
\(145\) 1.27487e9 0.239502
\(146\) −6.25389e8 1.08321e9i −0.113910 0.197298i
\(147\) −1.19759e9 2.07429e9i −0.211535 0.366389i
\(148\) 1.27131e9 2.20198e9i 0.217808 0.377255i
\(149\) −2.52850e9 + 4.37949e9i −0.420266 + 0.727922i −0.995965 0.0897395i \(-0.971397\pi\)
0.575699 + 0.817661i \(0.304730\pi\)
\(150\) −6.50060e9 −1.04844
\(151\) −8.05540e9 −1.26093 −0.630465 0.776218i \(-0.717136\pi\)
−0.630465 + 0.776218i \(0.717136\pi\)
\(152\) −2.69377e9 + 4.66574e9i −0.409321 + 0.708965i
\(153\) −3.10440e8 + 5.37697e8i −0.0458000 + 0.0793280i
\(154\) 2.46685e9 + 4.27271e9i 0.353427 + 0.612153i
\(155\) 5.53103e8 + 9.58002e8i 0.0769685 + 0.133313i
\(156\) 8.83889e8 0.119492
\(157\) 4.63139e9 + 8.02181e9i 0.608363 + 1.05372i 0.991510 + 0.130029i \(0.0415070\pi\)
−0.383147 + 0.923687i \(0.625160\pi\)
\(158\) −1.69889e9 2.94256e9i −0.216874 0.375637i
\(159\) 3.23431e9 + 5.60199e9i 0.401323 + 0.695113i
\(160\) −3.64991e8 + 6.32182e8i −0.0440293 + 0.0762610i
\(161\) −1.03961e10 −1.21942
\(162\) −4.37743e9 + 7.58193e9i −0.499346 + 0.864893i
\(163\) −7.15267e8 1.23888e9i −0.0793641 0.137463i 0.823612 0.567154i \(-0.191956\pi\)
−0.902976 + 0.429692i \(0.858622\pi\)
\(164\) −4.57627e8 −0.0493986
\(165\) 5.75603e8 + 9.96974e8i 0.0604569 + 0.104714i
\(166\) 3.65824e9 6.33626e9i 0.373926 0.647659i
\(167\) 7.44904e9 1.29021e10i 0.741099 1.28362i −0.210897 0.977508i \(-0.567638\pi\)
0.951995 0.306112i \(-0.0990282\pi\)
\(168\) −5.79487e9 −0.561244
\(169\) 4.33115e9 7.50178e9i 0.408426 0.707414i
\(170\) 1.57524e9 0.144653
\(171\) −1.26252e9 −0.112916
\(172\) −2.88094e9 1.80223e9i −0.250989 0.157012i
\(173\) −2.53368e9 −0.215052 −0.107526 0.994202i \(-0.534293\pi\)
−0.107526 + 0.994202i \(0.534293\pi\)
\(174\) 2.02780e10 1.67708
\(175\) 4.49828e9 7.79125e9i 0.362556 0.627966i
\(176\) −1.28617e10 −1.01040
\(177\) 7.65437e9 1.32578e10i 0.586178 1.01529i
\(178\) 8.90801e9 1.54291e10i 0.665106 1.15200i
\(179\) −7.05893e9 1.22264e10i −0.513926 0.890145i −0.999869 0.0161554i \(-0.994857\pi\)
0.485944 0.873990i \(-0.338476\pi\)
\(180\) −7.06713e7 −0.00501784
\(181\) −4.50464e9 7.80226e9i −0.311965 0.540340i 0.666822 0.745217i \(-0.267654\pi\)
−0.978788 + 0.204877i \(0.934321\pi\)
\(182\) −2.67758e9 + 4.63770e9i −0.180893 + 0.313315i
\(183\) −4.87739e9 −0.321482
\(184\) 1.02310e10 1.77206e10i 0.658017 1.13972i
\(185\) 1.79724e9 + 3.11292e9i 0.112807 + 0.195387i
\(186\) 8.79761e9 + 1.52379e10i 0.538960 + 0.933505i
\(187\) 5.79323e9 + 1.00342e10i 0.346444 + 0.600059i
\(188\) −1.74918e9 −0.102123
\(189\) −6.82155e9 1.18153e10i −0.388871 0.673544i
\(190\) 1.60158e9 + 2.77402e9i 0.0891574 + 0.154425i
\(191\) 7.96146e9 1.37897e10i 0.432855 0.749727i −0.564263 0.825595i \(-0.690839\pi\)
0.997118 + 0.0758680i \(0.0241728\pi\)
\(192\) 4.92455e9 8.52957e9i 0.261524 0.452972i
\(193\) 4.87341e9 0.252828 0.126414 0.991978i \(-0.459653\pi\)
0.126414 + 0.991978i \(0.459653\pi\)
\(194\) −2.35631e10 −1.19433
\(195\) −6.24774e8 + 1.08214e9i −0.0309433 + 0.0535954i
\(196\) 1.37196e9 2.37631e9i 0.0664034 0.115014i
\(197\) −6.51504e9 1.12844e10i −0.308190 0.533801i 0.669776 0.742563i \(-0.266390\pi\)
−0.977967 + 0.208762i \(0.933057\pi\)
\(198\) −1.13780e9 1.97073e9i −0.0526106 0.0911243i
\(199\) 3.51709e10 1.58981 0.794905 0.606735i \(-0.207521\pi\)
0.794905 + 0.606735i \(0.207521\pi\)
\(200\) 8.85366e9 + 1.53350e10i 0.391280 + 0.677717i
\(201\) −1.26560e10 2.19208e10i −0.546908 0.947272i
\(202\) 1.34613e10 + 2.33156e10i 0.568859 + 0.985293i
\(203\) −1.40319e10 + 2.43040e10i −0.579943 + 1.00449i
\(204\) 5.72342e9 0.231377
\(205\) 3.23472e8 5.60270e8i 0.0127922 0.0221567i
\(206\) −3.29224e9 5.70233e9i −0.127376 0.220622i
\(207\) 4.79508e9 0.181522
\(208\) −6.98022e9 1.20901e10i −0.258574 0.447863i
\(209\) −1.17802e10 + 2.04039e10i −0.427064 + 0.739697i
\(210\) −1.72267e9 + 2.98375e9i −0.0611245 + 0.105871i
\(211\) 3.70908e10 1.28824 0.644118 0.764926i \(-0.277225\pi\)
0.644118 + 0.764926i \(0.277225\pi\)
\(212\) −3.70522e9 + 6.41764e9i −0.125980 + 0.218205i
\(213\) −1.68143e10 −0.559721
\(214\) −5.98143e10 −1.94959
\(215\) 4.24284e9 2.25321e9i 0.135420 0.0719165i
\(216\) 2.68528e10 0.839359
\(217\) −2.43510e10 −0.745502
\(218\) −1.52373e10 + 2.63918e10i −0.456934 + 0.791433i
\(219\) 6.42455e9 0.188732
\(220\) −6.59411e8 + 1.14213e9i −0.0189782 + 0.0328711i
\(221\) −6.28811e9 + 1.08913e10i −0.177319 + 0.307125i
\(222\) 2.85868e10 + 4.95138e10i 0.789910 + 1.36816i
\(223\) −3.42150e10 −0.926498 −0.463249 0.886228i \(-0.653316\pi\)
−0.463249 + 0.886228i \(0.653316\pi\)
\(224\) −8.03459e9 1.39163e10i −0.213230 0.369325i
\(225\) −2.07478e9 + 3.59362e9i −0.0539697 + 0.0934782i
\(226\) 1.84083e10 0.469381
\(227\) −3.29873e10 + 5.71356e10i −0.824574 + 1.42820i 0.0776697 + 0.996979i \(0.475252\pi\)
−0.902244 + 0.431226i \(0.858081\pi\)
\(228\) 5.81911e9 + 1.00790e10i 0.142610 + 0.247008i
\(229\) 2.67280e10 + 4.62942e10i 0.642253 + 1.11242i 0.984929 + 0.172962i \(0.0553336\pi\)
−0.342675 + 0.939454i \(0.611333\pi\)
\(230\) −6.08283e9 1.05358e10i −0.143328 0.248251i
\(231\) −2.53417e10 −0.585573
\(232\) −2.76181e10 4.78360e10i −0.625890 1.08407i
\(233\) −2.46418e10 4.26808e10i −0.547735 0.948705i −0.998429 0.0560268i \(-0.982157\pi\)
0.450694 0.892678i \(-0.351177\pi\)
\(234\) 1.23500e9 2.13908e9i 0.0269274 0.0466397i
\(235\) 1.23640e9 2.14151e9i 0.0264456 0.0458051i
\(236\) 1.75377e10 0.368017
\(237\) 1.74525e10 0.359327
\(238\) −1.73380e10 + 3.00303e10i −0.350270 + 0.606686i
\(239\) 4.84847e10 8.39779e10i 0.961200 1.66485i 0.241704 0.970350i \(-0.422294\pi\)
0.719495 0.694497i \(-0.244373\pi\)
\(240\) −4.49086e9 7.77840e9i −0.0873733 0.151335i
\(241\) 3.70332e10 + 6.41434e10i 0.707155 + 1.22483i 0.965908 + 0.258885i \(0.0833549\pi\)
−0.258754 + 0.965943i \(0.583312\pi\)
\(242\) 1.82750e10 0.342521
\(243\) 5.97953e9 + 1.03569e10i 0.110012 + 0.190546i
\(244\) −2.79377e9 4.83895e9i −0.0504587 0.0873970i
\(245\) 1.93954e9 + 3.35937e9i 0.0343914 + 0.0595677i
\(246\) 5.14512e9 8.91161e9i 0.0895751 0.155149i
\(247\) −2.55730e10 −0.437165
\(248\) 2.39643e10 4.15073e10i 0.402283 0.696774i
\(249\) 1.87904e10 + 3.25458e10i 0.309769 + 0.536536i
\(250\) 2.13093e10 0.345015
\(251\) 3.58386e10 + 6.20743e10i 0.569928 + 0.987144i 0.996572 + 0.0827244i \(0.0263621\pi\)
−0.426645 + 0.904419i \(0.640305\pi\)
\(252\) 7.77848e8 1.34727e9i 0.0121505 0.0210452i
\(253\) 4.47413e10 7.74943e10i 0.686541 1.18912i
\(254\) −1.05415e11 −1.58909
\(255\) −4.04558e9 + 7.00714e9i −0.0599169 + 0.103779i
\(256\) 5.62126e10 0.818001
\(257\) −1.46999e10 −0.210192 −0.105096 0.994462i \(-0.533515\pi\)
−0.105096 + 0.994462i \(0.533515\pi\)
\(258\) 6.74863e10 3.58394e10i 0.948259 0.503584i
\(259\) −7.91260e10 −1.09262
\(260\) −1.43148e9 −0.0194270
\(261\) 6.47205e9 1.12099e10i 0.0863296 0.149527i
\(262\) −1.06770e10 −0.139988
\(263\) −2.88903e10 + 5.00394e10i −0.372349 + 0.644928i −0.989926 0.141582i \(-0.954781\pi\)
0.617577 + 0.786510i \(0.288114\pi\)
\(264\) 2.49391e10 4.31959e10i 0.315983 0.547299i
\(265\) −5.23805e9 9.07256e9i −0.0652474 0.113012i
\(266\) −7.05116e10 −0.863562
\(267\) 4.57555e10 + 7.92509e10i 0.550989 + 0.954341i
\(268\) 1.44987e10 2.51125e10i 0.171681 0.297361i
\(269\) −5.06399e10 −0.589668 −0.294834 0.955548i \(-0.595264\pi\)
−0.294834 + 0.955548i \(0.595264\pi\)
\(270\) 7.98267e9 1.38264e10i 0.0914136 0.158333i
\(271\) 4.89796e10 + 8.48351e10i 0.551637 + 0.955463i 0.998157 + 0.0606890i \(0.0193298\pi\)
−0.446520 + 0.894774i \(0.647337\pi\)
\(272\) −4.51988e10 7.82866e10i −0.500687 0.867216i
\(273\) −1.37532e10 2.38213e10i −0.149856 0.259557i
\(274\) −2.02398e10 −0.216934
\(275\) 3.87181e10 + 6.70618e10i 0.408242 + 0.707095i
\(276\) −2.21011e10 3.82802e10i −0.229257 0.397085i
\(277\) −2.33178e10 + 4.03877e10i −0.237974 + 0.412183i −0.960133 0.279544i \(-0.909817\pi\)
0.722159 + 0.691727i \(0.243150\pi\)
\(278\) −4.92080e10 + 8.52308e10i −0.494122 + 0.855844i
\(279\) 1.12316e10 0.110974
\(280\) 9.38494e9 0.0912474
\(281\) −3.69407e10 + 6.39832e10i −0.353449 + 0.612192i −0.986851 0.161631i \(-0.948325\pi\)
0.633402 + 0.773823i \(0.281658\pi\)
\(282\) 1.96661e10 3.40626e10i 0.185181 0.320743i
\(283\) −4.33384e10 7.50644e10i −0.401637 0.695657i 0.592286 0.805728i \(-0.298225\pi\)
−0.993924 + 0.110071i \(0.964892\pi\)
\(284\) −9.63126e9 1.66818e10i −0.0878518 0.152164i
\(285\) −1.64529e10 −0.147720
\(286\) −2.30468e10 3.99182e10i −0.203687 0.352796i
\(287\) 7.12063e9 + 1.23333e10i 0.0619512 + 0.107303i
\(288\) 3.70585e9 + 6.41872e9i 0.0317411 + 0.0549772i
\(289\) 1.85768e10 3.21759e10i 0.156650 0.271325i
\(290\) −3.28407e10 −0.272660
\(291\) 6.05153e10 1.04816e11i 0.494705 0.856855i
\(292\) 3.67998e9 + 6.37392e9i 0.0296226 + 0.0513078i
\(293\) −1.83133e11 −1.45165 −0.725824 0.687880i \(-0.758541\pi\)
−0.725824 + 0.687880i \(0.758541\pi\)
\(294\) 3.08501e10 + 5.34339e10i 0.240820 + 0.417113i
\(295\) −1.23964e10 + 2.14713e10i −0.0953011 + 0.165066i
\(296\) 7.78691e10 1.34873e11i 0.589593 1.02121i
\(297\) 1.17430e11 0.875743
\(298\) 6.51342e10 1.12816e11i 0.478449 0.828699i
\(299\) 9.71267e10 0.702778
\(300\) 3.82516e10 0.272649
\(301\) −3.74409e9 + 1.05685e11i −0.0262904 + 0.742105i
\(302\) 2.07508e11 1.43550
\(303\) −1.38286e11 −0.942512
\(304\) 9.19090e10 1.59191e11i 0.617201 1.06902i
\(305\) 7.89905e9 0.0522668
\(306\) 7.99694e9 1.38511e10i 0.0521408 0.0903105i
\(307\) −2.53779e10 + 4.39558e10i −0.163055 + 0.282419i −0.935963 0.352099i \(-0.885468\pi\)
0.772908 + 0.634518i \(0.218801\pi\)
\(308\) −1.45157e10 2.51419e10i −0.0919094 0.159192i
\(309\) 3.38208e10 0.211043
\(310\) −1.42479e10 2.46782e10i −0.0876243 0.151770i
\(311\) −1.15892e11 + 2.00731e11i −0.702477 + 1.21673i 0.265118 + 0.964216i \(0.414589\pi\)
−0.967595 + 0.252509i \(0.918744\pi\)
\(312\) 5.41391e10 0.323456
\(313\) −1.10381e11 + 1.91186e11i −0.650049 + 1.12592i 0.333061 + 0.942905i \(0.391918\pi\)
−0.983111 + 0.183013i \(0.941415\pi\)
\(314\) −1.19305e11 2.06642e11i −0.692588 1.19960i
\(315\) 1.09964e9 + 1.90463e9i 0.00629292 + 0.0108997i
\(316\) 9.99678e9 + 1.73149e10i 0.0563986 + 0.0976852i
\(317\) 3.13792e11 1.74532 0.872660 0.488329i \(-0.162393\pi\)
0.872660 + 0.488329i \(0.162393\pi\)
\(318\) −8.33160e10 1.44307e11i −0.456884 0.791347i
\(319\) −1.20777e11 2.09192e11i −0.653021 1.13107i
\(320\) −7.97544e9 + 1.38139e10i −0.0425187 + 0.0736445i
\(321\) 1.53617e11 2.66072e11i 0.807542 1.39870i
\(322\) 2.67805e11 1.38825
\(323\) −1.65592e11 −0.846501
\(324\) 2.57582e10 4.46144e10i 0.129856 0.224917i
\(325\) −4.20256e10 + 7.27905e10i −0.208948 + 0.361909i
\(326\) 1.84253e10 + 3.19136e10i 0.0903516 + 0.156494i
\(327\) −7.82655e10 1.35560e11i −0.378535 0.655641i
\(328\) −2.80301e10 −0.133719
\(329\) 2.72170e10 + 4.71413e10i 0.128073 + 0.221830i
\(330\) −1.48276e10 2.56821e10i −0.0688267 0.119211i
\(331\) 1.37279e10 + 2.37774e10i 0.0628605 + 0.108878i 0.895743 0.444572i \(-0.146644\pi\)
−0.832882 + 0.553450i \(0.813311\pi\)
\(332\) −2.15262e10 + 3.72845e10i −0.0972403 + 0.168425i
\(333\) 3.64958e10 0.162646
\(334\) −1.91888e11 + 3.32359e11i −0.843699 + 1.46133i
\(335\) 2.04967e10 + 3.55014e10i 0.0889166 + 0.154008i
\(336\) 1.97716e11 0.846281
\(337\) −3.09615e10 5.36269e10i −0.130764 0.226490i 0.793207 0.608952i \(-0.208410\pi\)
−0.923971 + 0.382462i \(0.875076\pi\)
\(338\) −1.11571e11 + 1.93246e11i −0.464970 + 0.805352i
\(339\) −4.72766e10 + 8.18854e10i −0.194423 + 0.336750i
\(340\) −9.26922e9 −0.0376173
\(341\) 1.04799e11 1.81516e11i 0.419721 0.726978i
\(342\) 3.25226e10 0.128549
\(343\) −2.75744e11 −1.07568
\(344\) −1.76460e11 1.10389e11i −0.679413 0.425022i
\(345\) 6.24883e10 0.237472
\(346\) 6.52677e10 0.244825
\(347\) −7.28008e10 + 1.26095e11i −0.269559 + 0.466889i −0.968748 0.248047i \(-0.920211\pi\)
0.699189 + 0.714937i \(0.253544\pi\)
\(348\) −1.19322e11 −0.436128
\(349\) 1.38647e11 2.40144e11i 0.500261 0.866478i −0.499739 0.866176i \(-0.666571\pi\)
1.00000 0.000301565i \(-9.59912e-5\pi\)
\(350\) −1.15876e11 + 2.00703e11i −0.412750 + 0.714904i
\(351\) 6.37310e10 + 1.10385e11i 0.224114 + 0.388176i
\(352\) 1.38312e11 0.480197
\(353\) −4.32735e10 7.49519e10i −0.148332 0.256919i 0.782279 0.622928i \(-0.214057\pi\)
−0.930611 + 0.366009i \(0.880724\pi\)
\(354\) −1.97177e11 + 3.41520e11i −0.667331 + 1.15585i
\(355\) 2.72313e10 0.0909998
\(356\) −5.24175e10 + 9.07898e10i −0.172962 + 0.299579i
\(357\) −8.90558e10 1.54249e11i −0.290172 0.502592i
\(358\) 1.81838e11 + 3.14953e11i 0.585076 + 1.01338i
\(359\) 3.07611e10 + 5.32797e10i 0.0977409 + 0.169292i 0.910749 0.412960i \(-0.135505\pi\)
−0.813008 + 0.582252i \(0.802172\pi\)
\(360\) −4.32869e9 −0.0135830
\(361\) −7.01648e9 1.21529e10i −0.0217439 0.0376615i
\(362\) 1.16040e11 + 2.00987e11i 0.355155 + 0.615147i
\(363\) −4.69341e10 + 8.12923e10i −0.141876 + 0.245737i
\(364\) 1.57557e10 2.72897e10i 0.0470415 0.0814783i
\(365\) −1.04047e10 −0.0306841
\(366\) 1.25642e11 0.365990
\(367\) −2.79141e11 + 4.83487e11i −0.803206 + 1.39119i 0.114290 + 0.993447i \(0.463541\pi\)
−0.917496 + 0.397745i \(0.869793\pi\)
\(368\) −3.49072e11 + 6.04610e11i −0.992201 + 1.71854i
\(369\) −3.28430e9 5.68858e9i −0.00922198 0.0159729i
\(370\) −4.62971e10 8.01889e10i −0.128424 0.222437i
\(371\) 2.30612e11 0.631973
\(372\) −5.17678e10 8.96645e10i −0.140158 0.242760i
\(373\) 6.51430e10 + 1.12831e11i 0.174252 + 0.301814i 0.939902 0.341444i \(-0.110916\pi\)
−0.765650 + 0.643257i \(0.777583\pi\)
\(374\) −1.49234e11 2.58481e11i −0.394407 0.683134i
\(375\) −5.47269e10 + 9.47898e10i −0.142909 + 0.247526i
\(376\) −1.07139e11 −0.276440
\(377\) 1.31095e11 2.27063e11i 0.334233 0.578908i
\(378\) 1.75724e11 + 3.04362e11i 0.442707 + 0.766792i
\(379\) 3.69632e10 0.0920224 0.0460112 0.998941i \(-0.485349\pi\)
0.0460112 + 0.998941i \(0.485349\pi\)
\(380\) −9.42420e9 1.63232e10i −0.0231856 0.0401586i
\(381\) 2.70729e11 4.68916e11i 0.658221 1.14007i
\(382\) −2.05088e11 + 3.55222e11i −0.492782 + 0.853523i
\(383\) −3.31500e10 −0.0787208 −0.0393604 0.999225i \(-0.512532\pi\)
−0.0393604 + 0.999225i \(0.512532\pi\)
\(384\) −2.42245e11 + 4.19581e11i −0.568545 + 0.984750i
\(385\) 4.10415e10 0.0952028
\(386\) −1.25539e11 −0.287831
\(387\) 1.72691e9 4.87460e10i 0.00391355 0.110469i
\(388\) 1.38653e11 0.310588
\(389\) −4.18663e10 −0.0927025 −0.0463513 0.998925i \(-0.514759\pi\)
−0.0463513 + 0.998925i \(0.514759\pi\)
\(390\) 1.60942e10 2.78760e10i 0.0352273 0.0610154i
\(391\) 6.28921e11 1.36082
\(392\) 8.40342e10 1.45551e11i 0.179750 0.311336i
\(393\) 2.74208e10 4.74943e10i 0.0579848 0.100433i
\(394\) 1.67828e11 + 2.90686e11i 0.350857 + 0.607703i
\(395\) −2.82647e10 −0.0584195
\(396\) 6.69518e9 + 1.15964e10i 0.0136815 + 0.0236971i
\(397\) 2.97097e11 5.14588e11i 0.600263 1.03969i −0.392518 0.919744i \(-0.628396\pi\)
0.992781 0.119942i \(-0.0382708\pi\)
\(398\) −9.06005e11 −1.80991
\(399\) 1.81090e11 3.13656e11i 0.357697 0.619549i
\(400\) −3.02079e11 5.23216e11i −0.589998 1.02191i
\(401\) −2.10663e11 3.64880e11i −0.406855 0.704693i 0.587681 0.809093i \(-0.300041\pi\)
−0.994535 + 0.104400i \(0.966708\pi\)
\(402\) 3.26019e11 + 5.64682e11i 0.622624 + 1.07842i
\(403\) 2.27502e11 0.429647
\(404\) −7.92103e10 1.37196e11i −0.147933 0.256228i
\(405\) 3.64141e10 + 6.30711e10i 0.0672546 + 0.116488i
\(406\) 3.61463e11 6.26073e11i 0.660233 1.14356i
\(407\) 3.40531e11 5.89817e11i 0.615151 1.06547i
\(408\) 3.50565e11 0.626322
\(409\) 8.32247e11 1.47061 0.735305 0.677736i \(-0.237039\pi\)
0.735305 + 0.677736i \(0.237039\pi\)
\(410\) −8.33265e9 + 1.44326e10i −0.0145632 + 0.0252242i
\(411\) 5.19803e10 9.00325e10i 0.0898567 0.155636i
\(412\) 1.93726e10 + 3.35543e10i 0.0331245 + 0.0573733i
\(413\) −2.72885e11 4.72650e11i −0.461534 0.799401i
\(414\) −1.23521e11 −0.206653
\(415\) −3.04315e10 5.27088e10i −0.0503624 0.0872302i
\(416\) 7.50639e10 + 1.30014e11i 0.122888 + 0.212849i
\(417\) −2.52754e11 4.37783e11i −0.409342 0.709001i
\(418\) 3.03458e11 5.25604e11i 0.486189 0.842104i
\(419\) −9.11998e11 −1.44554 −0.722771 0.691087i \(-0.757132\pi\)
−0.722771 + 0.691087i \(0.757132\pi\)
\(420\) 1.01367e10 1.75573e10i 0.0158956 0.0275319i
\(421\) −4.80827e11 8.32816e11i −0.745966 1.29205i −0.949742 0.313034i \(-0.898655\pi\)
0.203776 0.979018i \(-0.434679\pi\)
\(422\) −9.55461e11 −1.46658
\(423\) −1.25535e10 2.17433e10i −0.0190648 0.0330213i
\(424\) −2.26949e11 + 3.93087e11i −0.341021 + 0.590666i
\(425\) −2.72127e11 + 4.71338e11i −0.404596 + 0.700780i
\(426\) 4.33138e11 0.637211
\(427\) −8.69415e10 + 1.50587e11i −0.126561 + 0.219211i
\(428\) 3.51966e11 0.506995
\(429\) 2.36757e11 0.337477
\(430\) −1.09296e11 + 5.80428e10i −0.154168 + 0.0818729i
\(431\) −9.87738e9 −0.0137878 −0.00689388 0.999976i \(-0.502194\pi\)
−0.00689388 + 0.999976i \(0.502194\pi\)
\(432\) −9.16193e11 −1.26564
\(433\) 3.92269e11 6.79429e11i 0.536276 0.928857i −0.462825 0.886450i \(-0.653164\pi\)
0.999100 0.0424070i \(-0.0135026\pi\)
\(434\) 6.27284e11 0.848712
\(435\) 8.43422e10 1.46085e11i 0.112939 0.195616i
\(436\) 8.96610e10 1.55297e11i 0.118827 0.205814i
\(437\) 6.39436e11 + 1.10754e12i 0.838746 + 1.45275i
\(438\) −1.65497e11 −0.214860
\(439\) −2.23174e11 3.86549e11i −0.286783 0.496724i 0.686257 0.727359i \(-0.259253\pi\)
−0.973040 + 0.230636i \(0.925919\pi\)
\(440\) −4.03896e10 + 6.99568e10i −0.0513727 + 0.0889801i
\(441\) 3.93853e10 0.0495861
\(442\) 1.61982e11 2.80561e11i 0.201868 0.349645i
\(443\) −3.75040e11 6.49588e11i −0.462659 0.801348i 0.536434 0.843942i \(-0.319771\pi\)
−0.999092 + 0.0425940i \(0.986438\pi\)
\(444\) −1.68214e11 2.91355e11i −0.205418 0.355794i
\(445\) −7.41022e10 1.28349e11i −0.0895800 0.155157i
\(446\) 8.81380e11 1.05477
\(447\) 3.34558e11 + 5.79472e11i 0.396358 + 0.686513i
\(448\) −1.75564e11 3.04086e11i −0.205914 0.356653i
\(449\) 2.37525e10 4.11405e10i 0.0275804 0.0477706i −0.851906 0.523695i \(-0.824553\pi\)
0.879486 + 0.475924i \(0.157886\pi\)
\(450\) 5.34463e10 9.25717e10i 0.0614414 0.106420i
\(451\) −1.22579e11 −0.139515
\(452\) −1.08320e11 −0.122064
\(453\) −5.32926e11 + 9.23054e11i −0.594600 + 1.02988i
\(454\) 8.49753e11 1.47182e12i 0.938732 1.62593i
\(455\) 2.22737e10 + 3.85792e10i 0.0243636 + 0.0421990i
\(456\) 3.56426e11 + 6.17348e11i 0.386036 + 0.668634i
\(457\) 3.59465e10 0.0385508 0.0192754 0.999814i \(-0.493864\pi\)
0.0192754 + 0.999814i \(0.493864\pi\)
\(458\) −6.88514e11 1.19254e12i −0.731170 1.26642i
\(459\) 4.12675e11 + 7.14774e11i 0.433961 + 0.751643i
\(460\) 3.57933e10 + 6.19958e10i 0.0372727 + 0.0645583i
\(461\) 3.50443e11 6.06985e11i 0.361379 0.625927i −0.626809 0.779173i \(-0.715639\pi\)
0.988188 + 0.153246i \(0.0489727\pi\)
\(462\) 6.52803e11 0.666643
\(463\) −7.56858e11 + 1.31092e12i −0.765420 + 1.32575i 0.174604 + 0.984639i \(0.444136\pi\)
−0.940024 + 0.341108i \(0.889198\pi\)
\(464\) 9.42305e11 + 1.63212e12i 0.943758 + 1.63464i
\(465\) 1.46368e11 0.145180
\(466\) 6.34774e11 + 1.09946e12i 0.623566 + 1.08005i
\(467\) −7.14607e11 + 1.23774e12i −0.695251 + 1.20421i 0.274845 + 0.961489i \(0.411373\pi\)
−0.970096 + 0.242721i \(0.921960\pi\)
\(468\) −7.26712e9 + 1.25870e10i −0.00700254 + 0.0121288i
\(469\) −9.02394e11 −0.861228
\(470\) −3.18497e10 + 5.51653e10i −0.0301068 + 0.0521465i
\(471\) 1.22561e12 1.14751
\(472\) 1.07420e12 0.996200
\(473\) −7.71682e11 4.82743e11i −0.708864 0.443446i
\(474\) −4.49577e11 −0.409073
\(475\) −1.10671e12 −0.997496
\(476\) 1.02022e11 1.76708e11i 0.0910886 0.157770i
\(477\) −1.06367e11 −0.0940747
\(478\) −1.24897e12 + 2.16327e12i −1.09427 + 1.89534i
\(479\) −3.85865e11 + 6.68337e11i −0.334908 + 0.580077i −0.983467 0.181087i \(-0.942038\pi\)
0.648559 + 0.761164i \(0.275372\pi\)
\(480\) 4.82938e10 + 8.36472e10i 0.0415246 + 0.0719227i
\(481\) 7.39241e11 0.629700
\(482\) −9.53977e11 1.65234e12i −0.805056 1.39440i
\(483\) −6.87782e11 + 1.19127e12i −0.575027 + 0.995976i
\(484\) −1.07536e11 −0.0890733
\(485\) −9.80061e10 + 1.69751e11i −0.0804294 + 0.139308i
\(486\) −1.54033e11 2.66793e11i −0.125242 0.216926i
\(487\) 6.78597e11 + 1.17536e12i 0.546678 + 0.946874i 0.998499 + 0.0547657i \(0.0174412\pi\)
−0.451821 + 0.892109i \(0.649225\pi\)
\(488\) −1.71121e11 2.96390e11i −0.136588 0.236578i
\(489\) −1.89281e11 −0.149699
\(490\) −4.99625e10 8.65376e10i −0.0391527 0.0678145i
\(491\) −3.88513e10 6.72925e10i −0.0301675 0.0522516i 0.850547 0.525898i \(-0.176271\pi\)
−0.880715 + 0.473647i \(0.842937\pi\)
\(492\) −3.02755e10 + 5.24387e10i −0.0232942 + 0.0403468i
\(493\) 8.48872e11 1.47029e12i 0.647189 1.12096i
\(494\) 6.58761e11 0.497687
\(495\) −1.89299e10 −0.0141718
\(496\) −8.17639e11 + 1.41619e12i −0.606588 + 1.05064i
\(497\) −2.99723e11 + 5.19135e11i −0.220352 + 0.381660i
\(498\) −4.84040e11 8.38383e11i −0.352655 0.610816i
\(499\) 5.83467e11 + 1.01059e12i 0.421273 + 0.729666i 0.996064 0.0886339i \(-0.0282501\pi\)
−0.574791 + 0.818300i \(0.694917\pi\)
\(500\) −1.25390e11 −0.0897220
\(501\) −9.85620e11 1.70714e12i −0.698940 1.21060i
\(502\) −9.23205e11 1.59904e12i −0.648831 1.12381i
\(503\) −1.90464e11 3.29893e11i −0.132665 0.229783i 0.792038 0.610472i \(-0.209020\pi\)
−0.924703 + 0.380689i \(0.875687\pi\)
\(504\) 4.76440e10 8.25218e10i 0.0328905 0.0569680i
\(505\) 2.23958e11 0.153234
\(506\) −1.15254e12 + 1.99626e12i −0.781589 + 1.35375i
\(507\) −5.73077e11 9.92598e11i −0.385192 0.667172i
\(508\) 6.20293e11 0.413247
\(509\) 1.40452e12 + 2.43269e12i 0.927463 + 1.60641i 0.787551 + 0.616250i \(0.211349\pi\)
0.139913 + 0.990164i \(0.455318\pi\)
\(510\) 1.04214e11 1.80504e11i 0.0682121 0.118147i
\(511\) 1.14520e11 1.98355e11i 0.0743000 0.128691i
\(512\) 4.26724e11 0.274430
\(513\) −8.39149e11 + 1.45345e12i −0.534947 + 0.926556i
\(514\) 3.78671e11 0.239292
\(515\) −5.47737e10 −0.0343115
\(516\) −3.97110e11 + 2.10890e11i −0.246597 + 0.130958i
\(517\) −4.68531e11 −0.288424
\(518\) 2.03829e12 1.24389
\(519\) −1.67622e11 + 2.90330e11i −0.101409 + 0.175646i
\(520\) −8.76797e10 −0.0525877
\(521\) 1.26387e12 2.18909e12i 0.751509 1.30165i −0.195583 0.980687i \(-0.562660\pi\)
0.947091 0.320964i \(-0.104007\pi\)
\(522\) −1.66720e11 + 2.88768e11i −0.0982814 + 0.170228i
\(523\) 8.03918e11 + 1.39243e12i 0.469845 + 0.813795i 0.999405 0.0344773i \(-0.0109766\pi\)
−0.529561 + 0.848272i \(0.677643\pi\)
\(524\) 6.28266e10 0.0364043
\(525\) −5.95190e11 1.03090e12i −0.341932 0.592243i
\(526\) 7.44214e11 1.28902e12i 0.423899 0.734214i
\(527\) 1.47313e12 0.831945
\(528\) −8.50901e11 + 1.47380e12i −0.476460 + 0.825253i
\(529\) −1.52801e12 2.64660e12i −0.848353 1.46939i
\(530\) 1.34932e11 + 2.33710e11i 0.0742805 + 0.128658i
\(531\) 1.25865e11 + 2.18004e11i 0.0687034 + 0.118998i
\(532\) 4.14912e11 0.224571
\(533\) −6.65251e10 1.15225e11i −0.0357037 0.0618406i
\(534\) −1.17866e12 2.04151e12i −0.627270 1.08646i
\(535\) −2.48786e11 + 4.30910e11i −0.131291 + 0.227402i
\(536\) 8.88060e11 1.53817e12i 0.464730 0.804936i
\(537\) −1.86801e12 −0.969380
\(538\) 1.30449e12 0.671305
\(539\) 3.67491e11 6.36514e11i 0.187542 0.324832i
\(540\) −4.69725e10 + 8.13587e10i −0.0237723 + 0.0411749i
\(541\) 1.54888e12 + 2.68273e12i 0.777372 + 1.34645i 0.933452 + 0.358704i \(0.116781\pi\)
−0.156079 + 0.987745i \(0.549886\pi\)
\(542\) −1.26172e12 2.18536e12i −0.628007 1.08774i
\(543\) −1.19206e12 −0.588437
\(544\) 4.86058e11 + 8.41878e11i 0.237954 + 0.412149i
\(545\) 1.26753e11 + 2.19543e11i 0.0615424 + 0.106595i
\(546\) 3.54284e11 + 6.13638e11i 0.170602 + 0.295492i
\(547\) −1.09904e12 + 1.90359e12i −0.524892 + 0.909139i 0.474688 + 0.880154i \(0.342561\pi\)
−0.999580 + 0.0289852i \(0.990772\pi\)
\(548\) 1.19097e11 0.0564143
\(549\) 4.01006e10 6.94564e10i 0.0188398 0.0326315i
\(550\) −9.97381e11 1.72751e12i −0.464760 0.804988i
\(551\) 3.45226e12 1.59559
\(552\) −1.35371e12 2.34470e12i −0.620585 1.07488i
\(553\) 3.11098e11 5.38837e11i 0.141460 0.245016i
\(554\) 6.00668e11 1.04039e12i 0.270920 0.469247i
\(555\) 4.75605e11 0.212779
\(556\) 2.89555e11 5.01524e11i 0.128498 0.222564i
\(557\) 8.15796e11 0.359115 0.179557 0.983748i \(-0.442533\pi\)
0.179557 + 0.983748i \(0.442533\pi\)
\(558\) −2.89327e11 −0.126338
\(559\) 3.49795e10 9.87375e11i 0.0151517 0.427690i
\(560\) −3.20206e11 −0.137589
\(561\) 1.53306e12 0.653472
\(562\) 9.51595e11 1.64821e12i 0.402382 0.696946i
\(563\) 1.07681e12 0.451702 0.225851 0.974162i \(-0.427484\pi\)
0.225851 + 0.974162i \(0.427484\pi\)
\(564\) −1.15721e11 + 2.00435e11i −0.0481567 + 0.0834099i
\(565\) 7.65657e10 1.32616e11i 0.0316094 0.0547490i
\(566\) 1.11640e12 + 1.93366e12i 0.457242 + 0.791966i
\(567\) −1.60318e12 −0.651415
\(568\) −5.89924e11 1.02178e12i −0.237809 0.411898i
\(569\) −1.23821e12 + 2.14465e12i −0.495210 + 0.857730i −0.999985 0.00552169i \(-0.998242\pi\)
0.504774 + 0.863251i \(0.331576\pi\)
\(570\) 4.23826e11 0.168171
\(571\) −1.74946e12 + 3.03016e12i −0.688720 + 1.19290i 0.283532 + 0.958963i \(0.408494\pi\)
−0.972252 + 0.233935i \(0.924840\pi\)
\(572\) 1.35614e11 + 2.34891e11i 0.0529692 + 0.0917453i
\(573\) −1.05342e12 1.82458e12i −0.408231 0.707078i
\(574\) −1.83428e11 3.17706e11i −0.0705280 0.122158i
\(575\) 4.20329e12 1.60356
\(576\) 8.09768e10 + 1.40256e11i 0.0306521 + 0.0530909i
\(577\) −1.84074e12 3.18825e12i −0.691355 1.19746i −0.971394 0.237473i \(-0.923681\pi\)
0.280040 0.959988i \(-0.409652\pi\)
\(578\) −4.78538e11 + 8.28852e11i −0.178337 + 0.308889i
\(579\) 3.22413e11 5.58435e11i 0.119223 0.206500i
\(580\) 1.93245e11 0.0709058
\(581\) 1.33978e12 0.487800
\(582\) −1.55888e12 + 2.70005e12i −0.563194 + 0.975481i
\(583\) −9.92474e11 + 1.71901e12i −0.355804 + 0.616270i
\(584\) 2.25403e11 + 3.90409e11i 0.0801865 + 0.138887i
\(585\) −1.02735e10 1.77942e10i −0.00362673 0.00628169i
\(586\) 4.71750e12 1.65262
\(587\) −2.46125e12 4.26301e12i −0.855628 1.48199i −0.876062 0.482199i \(-0.839838\pi\)
0.0204340 0.999791i \(-0.493495\pi\)
\(588\) −1.81531e11 3.14422e11i −0.0626259 0.108471i
\(589\) 1.49776e12 + 2.59420e12i 0.512772 + 0.888148i
\(590\) 3.19333e11 5.53101e11i 0.108495 0.187919i
\(591\) −1.72408e12 −0.581316
\(592\) −2.65682e12 + 4.60176e12i −0.889028 + 1.53984i
\(593\) −6.00448e11 1.04001e12i −0.199402 0.345374i 0.748933 0.662646i \(-0.230567\pi\)
−0.948335 + 0.317272i \(0.897233\pi\)
\(594\) −3.02502e12 −0.996985
\(595\) 1.44228e11 + 2.49811e11i 0.0471763 + 0.0817117i
\(596\) −3.83270e11 + 6.63843e11i −0.124422 + 0.215505i
\(597\) 2.32682e12 4.03017e12i 0.749685 1.29849i
\(598\) −2.50199e12 −0.800073
\(599\) −2.47898e11 + 4.29372e11i −0.0786778 + 0.136274i −0.902680 0.430313i \(-0.858403\pi\)
0.824002 + 0.566587i \(0.191736\pi\)
\(600\) 2.34295e12 0.738043
\(601\) −4.39174e12 −1.37310 −0.686549 0.727084i \(-0.740875\pi\)
−0.686549 + 0.727084i \(0.740875\pi\)
\(602\) 9.64480e10 2.72246e12i 0.0299301 0.844845i
\(603\) 4.16218e11 0.128201
\(604\) −1.22104e12 −0.373305
\(605\) 7.60111e10 1.31655e11i 0.0230663 0.0399520i
\(606\) 3.56226e12 1.07300
\(607\) −1.47751e12 + 2.55911e12i −0.441753 + 0.765139i −0.997820 0.0659985i \(-0.978977\pi\)
0.556066 + 0.831138i \(0.312310\pi\)
\(608\) −9.88370e11 + 1.71191e12i −0.293328 + 0.508059i
\(609\) 1.85664e12 + 3.21579e12i 0.546952 + 0.947349i
\(610\) −2.03480e11 −0.0595028
\(611\) −2.54277e11 4.40421e11i −0.0738112 0.127845i
\(612\) −4.70565e10 + 8.15042e10i −0.0135593 + 0.0234854i
\(613\) −4.50518e12 −1.28866 −0.644332 0.764746i \(-0.722865\pi\)
−0.644332 + 0.764746i \(0.722865\pi\)
\(614\) 6.53736e11 1.13230e12i 0.185628 0.321518i
\(615\) −4.28002e10 7.41321e10i −0.0120645 0.0208963i
\(616\) −8.89101e11 1.53997e12i −0.248793 0.430922i
\(617\) −1.22030e10 2.11362e10i −0.00338986 0.00587142i 0.864325 0.502933i \(-0.167746\pi\)
−0.867715 + 0.497061i \(0.834412\pi\)
\(618\) −8.71226e11 −0.240261
\(619\) −1.39067e12 2.40871e12i −0.380729 0.659442i 0.610438 0.792064i \(-0.290994\pi\)
−0.991167 + 0.132622i \(0.957660\pi\)
\(620\) 8.38394e10 + 1.45214e11i 0.0227869 + 0.0394681i
\(621\) 3.18710e12 5.52023e12i 0.859971 1.48951i
\(622\) 2.98538e12 5.17084e12i 0.799730 1.38517i
\(623\) 3.26245e12 0.867655
\(624\) −1.84718e12 −0.487728
\(625\) −1.77387e12 + 3.07244e12i −0.465010 + 0.805422i
\(626\) 2.84343e12 4.92496e12i 0.740045 1.28179i
\(627\) 1.55869e12 + 2.69974e12i 0.402770 + 0.697618i
\(628\) 7.02027e11 + 1.21595e12i 0.180109 + 0.311958i
\(629\) 4.78678e12 1.21931
\(630\) −2.83267e10 4.90633e10i −0.00716414 0.0124087i
\(631\) 3.86651e11 + 6.69700e11i 0.0970929 + 0.168170i 0.910480 0.413553i \(-0.135712\pi\)
−0.813387 + 0.581723i \(0.802379\pi\)
\(632\) 6.12313e11 + 1.06056e12i 0.152667 + 0.264428i
\(633\) 2.45384e12 4.25017e12i 0.607476 1.05218i
\(634\) −8.08329e12 −1.98695
\(635\) −4.38452e11 + 7.59421e11i −0.107014 + 0.185353i
\(636\) 4.90257e11 + 8.49150e11i 0.118814 + 0.205791i
\(637\) 7.97768e11 0.191977
\(638\) 3.11123e12 + 5.38881e12i 0.743428 + 1.28766i
\(639\) 1.38243e11 2.39444e11i 0.0328012 0.0568134i
\(640\) 3.92323e11 6.79523e11i 0.0924344 0.160101i
\(641\) 4.56354e12 1.06768 0.533839 0.845586i \(-0.320749\pi\)
0.533839 + 0.845586i \(0.320749\pi\)
\(642\) −3.95717e12 + 6.85402e12i −0.919342 + 1.59235i
\(643\) −1.62657e12 −0.375253 −0.187626 0.982240i \(-0.560079\pi\)
−0.187626 + 0.982240i \(0.560079\pi\)
\(644\) −1.57584e12 −0.361016
\(645\) 2.25047e10 6.35246e11i 0.00511982 0.144519i
\(646\) 4.26565e12 0.963694
\(647\) 3.33817e12 0.748927 0.374464 0.927242i \(-0.377827\pi\)
0.374464 + 0.927242i \(0.377827\pi\)
\(648\) 1.57771e12 2.73268e12i 0.351512 0.608837i
\(649\) 4.69761e12 1.03938
\(650\) 1.08258e12 1.87509e12i 0.237876 0.412013i
\(651\) −1.61101e12 + 2.79034e12i −0.351546 + 0.608896i
\(652\) −1.08420e11 1.87789e11i −0.0234961 0.0406965i
\(653\) −4.77286e12 −1.02723 −0.513617 0.858020i \(-0.671695\pi\)
−0.513617 + 0.858020i \(0.671695\pi\)
\(654\) 2.01612e12 + 3.49203e12i 0.430941 + 0.746411i
\(655\) −4.44087e10 + 7.69182e10i −0.00942720 + 0.0163284i
\(656\) 9.56362e11 0.201630
\(657\) −5.28211e10 + 9.14888e10i −0.0110602 + 0.0191568i
\(658\) −7.01112e11 1.21436e12i −0.145804 0.252541i
\(659\) 2.28291e12 + 3.95412e12i 0.471525 + 0.816705i 0.999469 0.0325738i \(-0.0103704\pi\)
−0.527944 + 0.849279i \(0.677037\pi\)
\(660\) 8.72500e10 + 1.51121e11i 0.0178985 + 0.0310012i
\(661\) −7.71793e12 −1.57251 −0.786257 0.617900i \(-0.787984\pi\)
−0.786257 + 0.617900i \(0.787984\pi\)
\(662\) −3.53631e11 6.12507e11i −0.0715631 0.123951i
\(663\) 8.32012e11 + 1.44109e12i 0.167232 + 0.289654i
\(664\) −1.31850e12 + 2.28371e12i −0.263224 + 0.455916i
\(665\) −2.93279e11 + 5.07974e11i −0.0581546 + 0.100727i
\(666\) −9.40135e11 −0.185164
\(667\) −1.31118e13 −2.56504
\(668\) 1.12913e12 1.95570e12i 0.219406 0.380022i
\(669\) −2.26358e12 + 3.92064e12i −0.436896 + 0.756726i
\(670\) −5.27996e11 9.14517e11i −0.101227 0.175329i
\(671\) −7.48333e11 1.29615e12i −0.142509 0.246833i
\(672\) −2.12619e12 −0.402199
\(673\) −1.24969e12 2.16452e12i −0.234819 0.406719i 0.724401 0.689379i \(-0.242117\pi\)
−0.959220 + 0.282660i \(0.908783\pi\)
\(674\) 7.97570e11 + 1.38143e12i 0.148867 + 0.257846i
\(675\) 2.75805e12 + 4.77708e12i 0.511369 + 0.885718i
\(676\) 6.56517e11 1.13712e12i 0.120917 0.209434i
\(677\) −7.63483e12 −1.39685 −0.698426 0.715682i \(-0.746116\pi\)
−0.698426 + 0.715682i \(0.746116\pi\)
\(678\) 1.21785e12 2.10937e12i 0.221340 0.383371i
\(679\) −2.15742e12 3.73676e12i −0.389512 0.674655i
\(680\) −5.67749e11 −0.101828
\(681\) 4.36471e12 + 7.55990e12i 0.777667 + 1.34696i
\(682\) −2.69962e12 + 4.67587e12i −0.477829 + 0.827624i
\(683\) −2.61460e12 + 4.52862e12i −0.459740 + 0.796293i −0.998947 0.0458806i \(-0.985391\pi\)
0.539207 + 0.842173i \(0.318724\pi\)
\(684\) −1.91373e11 −0.0334294
\(685\) −8.41834e10 + 1.45810e11i −0.0146089 + 0.0253034i
\(686\) 7.10319e12 1.22460
\(687\) 7.07303e12 1.21143
\(688\) 6.02066e12 + 3.76636e12i 1.02446 + 0.640876i
\(689\) −2.15451e12 −0.364219
\(690\) −1.60970e12 −0.270349
\(691\) 1.60064e10 2.77239e10i 0.00267080 0.00462597i −0.864687 0.502311i \(-0.832483\pi\)
0.867358 + 0.497685i \(0.165817\pi\)
\(692\) −3.84055e11 −0.0636673
\(693\) 2.08353e11 3.60878e11i 0.0343163 0.0594375i
\(694\) 1.87535e12 3.24820e12i 0.306877 0.531527i
\(695\) 4.09342e11 + 7.09001e11i 0.0665510 + 0.115270i
\(696\) −7.30859e12 −1.18057
\(697\) −4.30768e11 7.46112e11i −0.0691347 0.119745i
\(698\) −3.57156e12 + 6.18612e12i −0.569519 + 0.986436i
\(699\) −6.52096e12 −1.03315
\(700\) 6.81850e11 1.18100e12i 0.107337 0.185912i
\(701\) −3.81877e11 6.61430e11i −0.0597299 0.103455i 0.834614 0.550835i \(-0.185691\pi\)
−0.894344 + 0.447380i \(0.852357\pi\)
\(702\) −1.64171e12 2.84353e12i −0.255141 0.441917i
\(703\) 4.86682e12 + 8.42957e12i 0.751529 + 1.30169i
\(704\) 3.02228e12 0.463721
\(705\) −1.63594e11 2.83353e11i −0.0249412 0.0431994i
\(706\) 1.11473e12 + 1.93076e12i 0.168868 + 0.292488i
\(707\) −2.46501e12 + 4.26952e12i −0.371049 + 0.642676i
\(708\) 1.16025e12 2.00961e12i 0.173541 0.300582i
\(709\) 8.47120e12 1.25903 0.629516 0.776988i \(-0.283253\pi\)
0.629516 + 0.776988i \(0.283253\pi\)
\(710\) −7.01479e11 −0.103598
\(711\) −1.43490e11 + 2.48532e11i −0.0210576 + 0.0364728i
\(712\) −3.21062e12 + 5.56097e12i −0.468198 + 0.810943i
\(713\) −5.68854e12 9.85283e12i −0.824323 1.42777i
\(714\) 2.29408e12 + 3.97347e12i 0.330344 + 0.572173i
\(715\) −3.83434e11 −0.0548672
\(716\) −1.06999e12 1.85328e12i −0.152150 0.263532i
\(717\) −6.41525e12 1.11115e13i −0.906520 1.57014i
\(718\) −7.92407e11 1.37249e12i −0.111273 0.192730i
\(719\) −1.49827e12 + 2.59507e12i −0.209078 + 0.362134i −0.951424 0.307882i \(-0.900380\pi\)
0.742346 + 0.670016i \(0.233713\pi\)
\(720\) 1.47691e11 0.0204813
\(721\) 6.02870e11 1.04420e12i 0.0830836 0.143905i
\(722\) 1.80745e11 + 3.13060e11i 0.0247542 + 0.0428755i
\(723\) 9.80010e12 1.33385
\(724\) −6.82814e11 1.18267e12i −0.0923589 0.159970i
\(725\) 5.67331e12 9.82645e12i 0.762632 1.32092i
\(726\) 1.20903e12 2.09409e12i 0.161518 0.279757i
\(727\) 5.42650e12 0.720469 0.360234 0.932862i \(-0.382697\pi\)
0.360234 + 0.932862i \(0.382697\pi\)
\(728\) 9.65052e11 1.67152e12i 0.127338 0.220557i
\(729\) 8.27187e12 1.08475
\(730\) 2.68026e11 0.0349321
\(731\) 2.26501e11 6.39351e12i 0.0293388 0.828154i
\(732\) −7.39315e11 −0.0951765
\(733\) 4.68820e12 0.599843 0.299922 0.953964i \(-0.403039\pi\)
0.299922 + 0.953964i \(0.403039\pi\)
\(734\) 7.19069e12 1.24546e13i 0.914405 1.58380i
\(735\) 5.13259e11 0.0648700
\(736\) 3.75385e12 6.50185e12i 0.471549 0.816746i
\(737\) 3.88359e12 6.72658e12i 0.484875 0.839829i
\(738\) 8.46037e10 + 1.46538e11i 0.0104987 + 0.0181843i
\(739\) −1.42569e13 −1.75843 −0.879215 0.476425i \(-0.841933\pi\)
−0.879215 + 0.476425i \(0.841933\pi\)
\(740\) 2.72427e11 + 4.71857e11i 0.0333969 + 0.0578452i
\(741\) −1.69184e12 + 2.93036e12i −0.206148 + 0.357058i
\(742\) −5.94057e12 −0.719466
\(743\) −4.86829e12 + 8.43213e12i −0.586040 + 1.01505i 0.408705 + 0.912666i \(0.365980\pi\)
−0.994745 + 0.102384i \(0.967353\pi\)
\(744\) −3.17083e12 5.49204e12i −0.379398 0.657137i
\(745\) −5.41826e11 9.38470e11i −0.0644401 0.111614i
\(746\) −1.67809e12 2.90653e12i −0.198376 0.343598i
\(747\) −6.17958e11 −0.0726133
\(748\) 8.78138e11 + 1.52098e12i 0.102567 + 0.177650i
\(749\) −5.47656e12 9.48568e12i −0.635828 1.10129i
\(750\) 1.40977e12 2.44179e12i 0.162694 0.281795i
\(751\) 7.19510e12 1.24623e13i 0.825386 1.42961i −0.0762386 0.997090i \(-0.524291\pi\)
0.901624 0.432520i \(-0.142376\pi\)
\(752\) 3.65548e12 0.416835
\(753\) 9.48398e12 1.07501
\(754\) −3.37700e12 + 5.84914e12i −0.380505 + 0.659054i
\(755\) 8.63087e11 1.49491e12i 0.0966703 0.167438i
\(756\) −1.03401e12 1.79096e12i −0.115127 0.199406i
\(757\) 3.78361e12 + 6.55341e12i 0.418770 + 0.725330i 0.995816 0.0913811i \(-0.0291281\pi\)
−0.577046 + 0.816711i \(0.695795\pi\)
\(758\) −9.52175e11 −0.104762
\(759\) −5.91995e12 1.02537e13i −0.647486 1.12148i
\(760\) −5.77241e11 9.99812e11i −0.0627619 0.108707i
\(761\) 3.90622e12 + 6.76578e12i 0.422208 + 0.731285i 0.996155 0.0876068i \(-0.0279219\pi\)
−0.573947 + 0.818892i \(0.694589\pi\)
\(762\) −6.97398e12 + 1.20793e13i −0.749348 + 1.29791i
\(763\) −5.58047e12