Properties

Label 43.10.c.a.6.1
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 6.1
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.1

$q$-expansion

\(f(q)\) \(=\) \(q-42.7731 q^{2} +(124.841 - 216.230i) q^{3} +1317.54 q^{4} +(1213.19 - 2101.31i) q^{5} +(-5339.82 + 9248.83i) q^{6} +(-2678.56 - 4639.41i) q^{7} -34455.3 q^{8} +(-21328.8 - 36942.6i) q^{9} +O(q^{10})\) \(q-42.7731 q^{2} +(124.841 - 216.230i) q^{3} +1317.54 q^{4} +(1213.19 - 2101.31i) q^{5} +(-5339.82 + 9248.83i) q^{6} +(-2678.56 - 4639.41i) q^{7} -34455.3 q^{8} +(-21328.8 - 36942.6i) q^{9} +(-51891.8 + 89879.3i) q^{10} +1193.75 q^{11} +(164482. - 284891. i) q^{12} +(-12214.7 - 21156.5i) q^{13} +(114570. + 198442. i) q^{14} +(-302911. - 524656. i) q^{15} +799179. q^{16} +(48845.7 + 84603.2i) q^{17} +(912300. + 1.58015e6i) q^{18} +(-140389. + 243161. i) q^{19} +(1.59842e6 - 2.76855e6i) q^{20} -1.33757e6 q^{21} -51060.5 q^{22} +(1.19921e6 - 2.07709e6i) q^{23} +(-4.30142e6 + 7.45027e6i) q^{24} +(-1.96709e6 - 3.40711e6i) q^{25} +(522460. + 904927. i) q^{26} -5.73635e6 q^{27} +(-3.52910e6 - 6.11259e6i) q^{28} +(3.04400e6 + 5.27236e6i) q^{29} +(1.29564e7 + 2.24412e7i) q^{30} +(96457.0 - 167068. i) q^{31} -1.65423e7 q^{32} +(149029. - 258125. i) q^{33} +(-2.08928e6 - 3.61874e6i) q^{34} -1.29984e7 q^{35} +(-2.81015e7 - 4.86733e7i) q^{36} +(-997944. + 1.72849e6i) q^{37} +(6.00486e6 - 1.04007e7i) q^{38} -6.09956e6 q^{39} +(-4.18008e7 + 7.24010e7i) q^{40} +2.56366e7 q^{41} +5.72121e7 q^{42} +(2.16396e7 - 5.85852e6i) q^{43} +1.57281e6 q^{44} -1.03504e8 q^{45} +(-5.12937e7 + 8.88433e7i) q^{46} +1.53906e7 q^{47} +(9.97700e7 - 1.72807e8i) q^{48} +(5.82741e6 - 1.00934e7i) q^{49} +(8.41387e7 + 1.45732e8i) q^{50} +2.43917e7 q^{51} +(-1.60933e7 - 2.78744e7i) q^{52} +(-2.92899e6 + 5.07316e6i) q^{53} +2.45361e8 q^{54} +(1.44825e6 - 2.50844e6i) q^{55} +(9.22906e7 + 1.59852e8i) q^{56} +(3.50525e7 + 6.07126e7i) q^{57} +(-1.30201e8 - 2.25515e8i) q^{58} -3.88171e7 q^{59} +(-3.99096e8 - 6.91254e8i) q^{60} +(-1.34876e7 - 2.33612e7i) q^{61} +(-4.12576e6 + 7.14603e6i) q^{62} +(-1.14261e8 + 1.97906e8i) q^{63} +2.98384e8 q^{64} -5.92749e7 q^{65} +(-6.37442e6 + 1.10408e7i) q^{66} +(-1.54390e8 + 2.67411e8i) q^{67} +(6.43559e7 + 1.11468e8i) q^{68} +(-2.99419e8 - 5.18609e8i) q^{69} +5.55982e8 q^{70} +(1.81591e8 + 3.14525e8i) q^{71} +(7.34891e8 + 1.27287e9i) q^{72} +(-1.10895e8 - 1.92076e8i) q^{73} +(4.26852e7 - 7.39329e7i) q^{74} -9.82293e8 q^{75} +(-1.84967e8 + 3.20373e8i) q^{76} +(-3.19754e6 - 5.53830e6i) q^{77} +2.60897e8 q^{78} +(-8.97111e7 - 1.55384e8i) q^{79} +(9.69556e8 - 1.67932e9i) q^{80} +(-2.96313e8 + 5.13230e8i) q^{81} -1.09656e9 q^{82} +(1.73002e8 - 2.99648e8i) q^{83} -1.76230e9 q^{84} +2.37036e8 q^{85} +(-9.25590e8 + 2.50587e8i) q^{86} +1.52006e9 q^{87} -4.11311e7 q^{88} +(-2.65679e8 + 4.60169e8i) q^{89} +4.42717e9 q^{90} +(-6.54356e7 + 1.13338e8i) q^{91} +(1.58000e9 - 2.73664e9i) q^{92} +(-2.40835e7 - 4.17138e7i) q^{93} -6.58304e8 q^{94} +(3.40637e8 + 5.90000e8i) q^{95} +(-2.06515e9 + 3.57694e9i) q^{96} +8.80706e8 q^{97} +(-2.49256e8 + 4.31725e8i) q^{98} +(-2.54614e7 - 4.41004e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} + O(q^{10}) \) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} - 6237q^{10} - 180682q^{11} + 274344q^{12} + 115245q^{13} - 171208q^{14} + 138833q^{15} + 4289206q^{16} + 65180q^{17} + 603985q^{18} + 39150q^{19} - 2709775q^{20} - 3105162q^{21} + 598456q^{22} + 1285907q^{23} - 292550q^{24} - 14709917q^{25} + 5332695q^{26} - 20118002q^{27} - 5475298q^{28} + 1274091q^{29} + 28424751q^{30} + 2899781q^{31} - 16322030q^{32} + 30668912q^{33} + 6822099q^{34} - 14750922q^{35} - 113819232q^{36} - 13772217q^{37} + 2700532q^{38} + 49876982q^{39} - 55802359q^{40} + 5375394q^{41} - 62768266q^{42} - 4250879q^{43} - 125171958q^{44} + 74719384q^{45} - 91405220q^{46} + 46104596q^{47} + 294588191q^{48} - 233221733q^{49} + 380339342q^{50} + 229598406q^{51} + 166281612q^{52} + 125396641q^{53} - 137752484q^{54} + 139471854q^{55} + 41104589q^{56} - 289586721q^{57} - 183782516q^{58} - 637949078q^{59} - 70735747q^{60} - 95573327q^{61} + 181277053q^{62} + 226632970q^{63} + 712599660q^{64} - 498753718q^{65} - 349240445q^{66} - 276270786q^{67} + 1034771928q^{68} - 199705103q^{69} + 1780847990q^{70} + 651945247q^{71} - 270063054q^{72} - 182725322q^{73} - 193737672q^{74} - 3155252572q^{75} + 492133584q^{76} + 216024528q^{77} + 2562586420q^{78} - 376932221q^{79} - 783129021q^{80} - 2146956496q^{81} + 2373824428q^{82} + 1008544071q^{83} - 9413139208q^{84} - 1131353054q^{85} - 1641459050q^{86} + 5060470018q^{87} + 369936980q^{88} + 2244184366q^{89} + 3302428348q^{90} + 3951711q^{91} + 4361095637q^{92} + 3133616089q^{93} + 3002217406q^{94} + 1515822931q^{95} + 69408612q^{96} - 6951085934q^{97} + 1120193981q^{98} + 1264470179q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −42.7731 −1.89032 −0.945160 0.326606i \(-0.894095\pi\)
−0.945160 + 0.326606i \(0.894095\pi\)
\(3\) 124.841 216.230i 0.889836 1.54124i 0.0497683 0.998761i \(-0.484152\pi\)
0.840068 0.542481i \(-0.182515\pi\)
\(4\) 1317.54 2.57331
\(5\) 1213.19 2101.31i 0.868088 1.50357i 0.00413917 0.999991i \(-0.498682\pi\)
0.863948 0.503580i \(-0.167984\pi\)
\(6\) −5339.82 + 9248.83i −1.68208 + 2.91344i
\(7\) −2678.56 4639.41i −0.421658 0.730333i 0.574444 0.818544i \(-0.305218\pi\)
−0.996102 + 0.0882107i \(0.971885\pi\)
\(8\) −34455.3 −2.97407
\(9\) −21328.8 36942.6i −1.08362 1.87688i
\(10\) −51891.8 + 89879.3i −1.64096 + 2.84223i
\(11\) 1193.75 0.0245837 0.0122918 0.999924i \(-0.496087\pi\)
0.0122918 + 0.999924i \(0.496087\pi\)
\(12\) 164482. 284891.i 2.28983 3.96610i
\(13\) −12214.7 21156.5i −0.118614 0.205446i 0.800604 0.599193i \(-0.204512\pi\)
−0.919219 + 0.393747i \(0.871179\pi\)
\(14\) 114570. + 198442.i 0.797069 + 1.38056i
\(15\) −302911. 524656.i −1.54491 2.67587i
\(16\) 799179. 3.04863
\(17\) 48845.7 + 84603.2i 0.141842 + 0.245678i 0.928190 0.372106i \(-0.121364\pi\)
−0.786348 + 0.617784i \(0.788031\pi\)
\(18\) 912300. + 1.58015e6i 2.04838 + 3.54791i
\(19\) −140389. + 243161.i −0.247139 + 0.428057i −0.962731 0.270461i \(-0.912824\pi\)
0.715592 + 0.698519i \(0.246157\pi\)
\(20\) 1.59842e6 2.76855e6i 2.23386 3.86916i
\(21\) −1.33757e6 −1.50083
\(22\) −51060.5 −0.0464711
\(23\) 1.19921e6 2.07709e6i 0.893549 1.54767i 0.0579592 0.998319i \(-0.481541\pi\)
0.835590 0.549354i \(-0.185126\pi\)
\(24\) −4.30142e6 + 7.45027e6i −2.64643 + 4.58376i
\(25\) −1.96709e6 3.40711e6i −1.00715 1.74444i
\(26\) 522460. + 904927.i 0.224219 + 0.388359i
\(27\) −5.73635e6 −2.07730
\(28\) −3.52910e6 6.11259e6i −1.08506 1.87938i
\(29\) 3.04400e6 + 5.27236e6i 0.799196 + 1.38425i 0.920140 + 0.391589i \(0.128074\pi\)
−0.120944 + 0.992659i \(0.538592\pi\)
\(30\) 1.29564e7 + 2.24412e7i 2.92038 + 5.05824i
\(31\) 96457.0 167068.i 0.0187588 0.0324913i −0.856494 0.516158i \(-0.827362\pi\)
0.875252 + 0.483666i \(0.160695\pi\)
\(32\) −1.65423e7 −2.78882
\(33\) 149029. 258125.i 0.0218755 0.0378894i
\(34\) −2.08928e6 3.61874e6i −0.268128 0.464411i
\(35\) −1.29984e7 −1.46415
\(36\) −2.81015e7 4.86733e7i −2.78849 4.82980i
\(37\) −997944. + 1.72849e6i −0.0875384 + 0.151621i −0.906470 0.422270i \(-0.861233\pi\)
0.818932 + 0.573891i \(0.194567\pi\)
\(38\) 6.00486e6 1.04007e7i 0.467172 0.809166i
\(39\) −6.09956e6 −0.422190
\(40\) −4.18008e7 + 7.24010e7i −2.58175 + 4.47172i
\(41\) 2.56366e7 1.41688 0.708439 0.705772i \(-0.249400\pi\)
0.708439 + 0.705772i \(0.249400\pi\)
\(42\) 5.72121e7 2.83705
\(43\) 2.16396e7 5.85852e6i 0.965251 0.261324i
\(44\) 1.57281e6 0.0632616
\(45\) −1.03504e8 −3.76270
\(46\) −5.12937e7 + 8.88433e7i −1.68909 + 2.92560i
\(47\) 1.53906e7 0.460061 0.230031 0.973183i \(-0.426117\pi\)
0.230031 + 0.973183i \(0.426117\pi\)
\(48\) 9.97700e7 1.72807e8i 2.71278 4.69867i
\(49\) 5.82741e6 1.00934e7i 0.144409 0.250123i
\(50\) 8.41387e7 + 1.45732e8i 1.90384 + 3.29755i
\(51\) 2.43917e7 0.504866
\(52\) −1.60933e7 2.78744e7i −0.305232 0.528677i
\(53\) −2.92899e6 + 5.07316e6i −0.0509890 + 0.0883156i −0.890393 0.455192i \(-0.849571\pi\)
0.839404 + 0.543507i \(0.182904\pi\)
\(54\) 2.45361e8 3.92676
\(55\) 1.44825e6 2.50844e6i 0.0213408 0.0369634i
\(56\) 9.22906e7 + 1.59852e8i 1.25404 + 2.17206i
\(57\) 3.50525e7 + 6.07126e7i 0.439827 + 0.761802i
\(58\) −1.30201e8 2.25515e8i −1.51074 2.61667i
\(59\) −3.88171e7 −0.417051 −0.208526 0.978017i \(-0.566866\pi\)
−0.208526 + 0.978017i \(0.566866\pi\)
\(60\) −3.99096e8 6.91254e8i −3.97554 6.88584i
\(61\) −1.34876e7 2.33612e7i −0.124724 0.216029i 0.796901 0.604110i \(-0.206471\pi\)
−0.921625 + 0.388081i \(0.873138\pi\)
\(62\) −4.12576e6 + 7.14603e6i −0.0354602 + 0.0614189i
\(63\) −1.14261e8 + 1.97906e8i −0.913832 + 1.58280i
\(64\) 2.98384e8 2.22313
\(65\) −5.92749e7 −0.411871
\(66\) −6.37442e6 + 1.10408e7i −0.0413517 + 0.0716232i
\(67\) −1.54390e8 + 2.67411e8i −0.936013 + 1.62122i −0.163196 + 0.986594i \(0.552180\pi\)
−0.772817 + 0.634629i \(0.781153\pi\)
\(68\) 6.43559e7 + 1.11468e8i 0.365005 + 0.632207i
\(69\) −2.99419e8 5.18609e8i −1.59023 2.75435i
\(70\) 5.55982e8 2.76770
\(71\) 1.81591e8 + 3.14525e8i 0.848071 + 1.46890i 0.882927 + 0.469510i \(0.155570\pi\)
−0.0348555 + 0.999392i \(0.511097\pi\)
\(72\) 7.34891e8 + 1.27287e9i 3.22275 + 5.58197i
\(73\) −1.10895e8 1.92076e8i −0.457047 0.791628i 0.541757 0.840535i \(-0.317759\pi\)
−0.998803 + 0.0489072i \(0.984426\pi\)
\(74\) 4.26852e7 7.39329e7i 0.165476 0.286612i
\(75\) −9.82293e8 −3.58480
\(76\) −1.84967e8 + 3.20373e8i −0.635966 + 1.10153i
\(77\) −3.19754e6 5.53830e6i −0.0103659 0.0179543i
\(78\) 2.60897e8 0.798074
\(79\) −8.97111e7 1.55384e8i −0.259134 0.448833i 0.706876 0.707337i \(-0.250104\pi\)
−0.966010 + 0.258504i \(0.916770\pi\)
\(80\) 9.69556e8 1.67932e9i 2.64648 4.58383i
\(81\) −2.96313e8 + 5.13230e8i −0.764836 + 1.32474i
\(82\) −1.09656e9 −2.67836
\(83\) 1.73002e8 2.99648e8i 0.400128 0.693043i −0.593613 0.804751i \(-0.702299\pi\)
0.993741 + 0.111708i \(0.0356322\pi\)
\(84\) −1.76230e9 −3.86210
\(85\) 2.37036e8 0.492526
\(86\) −9.25590e8 + 2.50587e8i −1.82463 + 0.493987i
\(87\) 1.52006e9 2.84461
\(88\) −4.11311e7 −0.0731136
\(89\) −2.65679e8 + 4.60169e8i −0.448851 + 0.777432i −0.998312 0.0580874i \(-0.981500\pi\)
0.549461 + 0.835519i \(0.314833\pi\)
\(90\) 4.42717e9 7.11271
\(91\) −6.54356e7 + 1.13338e8i −0.100029 + 0.173256i
\(92\) 1.58000e9 2.73664e9i 2.29938 3.98265i
\(93\) −2.40835e7 4.17138e7i −0.0333846 0.0578238i
\(94\) −6.58304e8 −0.869664
\(95\) 3.40637e8 + 5.90000e8i 0.429077 + 0.743183i
\(96\) −2.06515e9 + 3.57694e9i −2.48159 + 4.29824i
\(97\) 8.80706e8 1.01009 0.505043 0.863094i \(-0.331477\pi\)
0.505043 + 0.863094i \(0.331477\pi\)
\(98\) −2.49256e8 + 4.31725e8i −0.272979 + 0.472813i
\(99\) −2.54614e7 4.41004e7i −0.0266393 0.0461407i
\(100\) −2.59172e9 4.48899e9i −2.59172 4.48899i
\(101\) 4.72454e8 + 8.18315e8i 0.451766 + 0.782482i 0.998496 0.0548272i \(-0.0174608\pi\)
−0.546730 + 0.837309i \(0.684127\pi\)
\(102\) −1.04331e9 −0.954359
\(103\) 5.79652e7 + 1.00399e8i 0.0507457 + 0.0878942i 0.890282 0.455409i \(-0.150507\pi\)
−0.839537 + 0.543303i \(0.817174\pi\)
\(104\) 4.20860e8 + 7.28952e8i 0.352767 + 0.611010i
\(105\) −1.62273e9 + 2.81065e9i −1.30285 + 2.25660i
\(106\) 1.25282e8 2.16995e8i 0.0963856 0.166945i
\(107\) 1.63275e9 1.20419 0.602093 0.798426i \(-0.294334\pi\)
0.602093 + 0.798426i \(0.294334\pi\)
\(108\) −7.55785e9 −5.34553
\(109\) −4.72141e7 + 8.17771e7i −0.0320370 + 0.0554897i −0.881599 0.471998i \(-0.843533\pi\)
0.849562 + 0.527488i \(0.176866\pi\)
\(110\) −6.19460e7 + 1.07294e8i −0.0403410 + 0.0698726i
\(111\) 2.49168e8 + 4.31572e8i 0.155790 + 0.269836i
\(112\) −2.14065e9 3.70772e9i −1.28548 2.22651i
\(113\) 7.64810e8 0.441266 0.220633 0.975357i \(-0.429188\pi\)
0.220633 + 0.975357i \(0.429188\pi\)
\(114\) −1.49930e9 2.59687e9i −0.831414 1.44005i
\(115\) −2.90973e9 5.03980e9i −1.55136 2.68703i
\(116\) 4.01058e9 + 6.94652e9i 2.05658 + 3.56210i
\(117\) −5.21050e8 + 9.02486e8i −0.257065 + 0.445250i
\(118\) 1.66033e9 0.788361
\(119\) 2.61672e8 4.53230e8i 0.119618 0.207184i
\(120\) 1.04369e10 + 1.80772e10i 4.59467 + 7.95820i
\(121\) −2.35652e9 −0.999396
\(122\) 5.76907e8 + 9.99232e8i 0.235769 + 0.408364i
\(123\) 3.20048e9 5.54340e9i 1.26079 2.18375i
\(124\) 1.27086e8 2.20119e8i 0.0482724 0.0836102i
\(125\) −4.80681e9 −1.76101
\(126\) 4.88731e9 8.46506e9i 1.72744 2.99201i
\(127\) −8.71809e8 −0.297375 −0.148687 0.988884i \(-0.547505\pi\)
−0.148687 + 0.988884i \(0.547505\pi\)
\(128\) −4.29315e9 −1.41362
\(129\) 1.43471e9 5.41051e9i 0.456151 1.72022i
\(130\) 2.53537e9 0.778568
\(131\) −2.29543e9 −0.680995 −0.340497 0.940245i \(-0.610595\pi\)
−0.340497 + 0.940245i \(0.610595\pi\)
\(132\) 1.96351e8 3.40090e8i 0.0562924 0.0975013i
\(133\) 1.50416e9 0.416833
\(134\) 6.60373e9 1.14380e10i 1.76937 3.06463i
\(135\) −6.95927e9 + 1.20538e10i −1.80328 + 3.12336i
\(136\) −1.68299e9 2.91503e9i −0.421849 0.730663i
\(137\) −1.23346e8 −0.0299146 −0.0149573 0.999888i \(-0.504761\pi\)
−0.0149573 + 0.999888i \(0.504761\pi\)
\(138\) 1.28071e10 + 2.21825e10i 3.00604 + 5.20661i
\(139\) −7.67572e8 + 1.32947e9i −0.174402 + 0.302074i −0.939954 0.341300i \(-0.889133\pi\)
0.765552 + 0.643374i \(0.222466\pi\)
\(140\) −1.71259e10 −3.76770
\(141\) 1.92137e9 3.32792e9i 0.409379 0.709066i
\(142\) −7.76722e9 1.34532e10i −1.60313 2.77670i
\(143\) −1.45813e7 2.52556e7i −0.00291598 0.00505063i
\(144\) −1.70456e10 2.95238e10i −3.30355 5.72191i
\(145\) 1.47718e10 2.77509
\(146\) 4.74334e9 + 8.21570e9i 0.863965 + 1.49643i
\(147\) −1.45499e9 2.52013e9i −0.257000 0.445137i
\(148\) −1.31483e9 + 2.27735e9i −0.225264 + 0.390168i
\(149\) −3.36749e9 + 5.83266e9i −0.559716 + 0.969457i 0.437804 + 0.899071i \(0.355757\pi\)
−0.997520 + 0.0703863i \(0.977577\pi\)
\(150\) 4.20157e10 6.77643
\(151\) −5.23852e9 −0.819997 −0.409999 0.912086i \(-0.634471\pi\)
−0.409999 + 0.912086i \(0.634471\pi\)
\(152\) 4.83714e9 8.37817e9i 0.735008 1.27307i
\(153\) 2.08364e9 3.60898e9i 0.307406 0.532442i
\(154\) 1.36769e8 + 2.36890e8i 0.0195949 + 0.0339394i
\(155\) −2.34041e8 4.05371e8i −0.0325686 0.0564105i
\(156\) −8.03639e9 −1.08643
\(157\) 1.04692e8 + 1.81332e8i 0.0137520 + 0.0238191i 0.872820 0.488043i \(-0.162289\pi\)
−0.859068 + 0.511862i \(0.828956\pi\)
\(158\) 3.83722e9 + 6.64626e9i 0.489846 + 0.848438i
\(159\) 7.31314e8 + 1.26667e9i 0.0907438 + 0.157173i
\(160\) −2.00689e10 + 3.47603e10i −2.42094 + 4.19319i
\(161\) −1.28486e10 −1.50709
\(162\) 1.26742e10 2.19524e10i 1.44579 2.50418i
\(163\) −7.12384e8 1.23389e9i −0.0790442 0.136909i 0.823794 0.566890i \(-0.191854\pi\)
−0.902838 + 0.429981i \(0.858520\pi\)
\(164\) 3.37771e10 3.64607
\(165\) −3.61600e8 6.26310e8i −0.0379796 0.0657827i
\(166\) −7.39982e9 + 1.28169e10i −0.756371 + 1.31007i
\(167\) −1.23106e9 + 2.13226e9i −0.122477 + 0.212137i −0.920744 0.390167i \(-0.872417\pi\)
0.798267 + 0.602304i \(0.205750\pi\)
\(168\) 4.60864e10 4.46356
\(169\) 5.00385e9 8.66693e9i 0.471861 0.817288i
\(170\) −1.01388e10 −0.931033
\(171\) 1.19773e10 1.07122
\(172\) 2.85109e10 7.71881e9i 2.48389 0.672470i
\(173\) 6.10742e9 0.518382 0.259191 0.965826i \(-0.416544\pi\)
0.259191 + 0.965826i \(0.416544\pi\)
\(174\) −6.50175e10 −5.37723
\(175\) −1.05380e10 + 1.82523e10i −0.849348 + 1.47111i
\(176\) 9.54022e8 0.0749465
\(177\) −4.84596e9 + 8.39344e9i −0.371107 + 0.642777i
\(178\) 1.13639e10 1.96828e10i 0.848472 1.46960i
\(179\) −1.00086e10 1.73355e10i −0.728679 1.26211i −0.957442 0.288627i \(-0.906801\pi\)
0.228762 0.973482i \(-0.426532\pi\)
\(180\) −1.36370e11 −9.68260
\(181\) 3.84169e9 + 6.65400e9i 0.266053 + 0.460818i 0.967839 0.251570i \(-0.0809470\pi\)
−0.701786 + 0.712388i \(0.747614\pi\)
\(182\) 2.79888e9 4.84781e9i 0.189088 0.327510i
\(183\) −6.73521e9 −0.443937
\(184\) −4.13190e10 + 7.15665e10i −2.65747 + 4.60288i
\(185\) 2.42139e9 + 4.19397e9i 0.151982 + 0.263241i
\(186\) 1.03013e9 + 1.78423e9i 0.0631076 + 0.109306i
\(187\) 5.83096e7 + 1.00995e8i 0.00348701 + 0.00603968i
\(188\) 2.02777e10 1.18388
\(189\) 1.53652e10 + 2.66132e10i 0.875909 + 1.51712i
\(190\) −1.45701e10 2.52361e10i −0.811093 1.40485i
\(191\) 4.25669e9 7.37280e9i 0.231431 0.400850i −0.726798 0.686851i \(-0.758993\pi\)
0.958229 + 0.286001i \(0.0923259\pi\)
\(192\) 3.72504e10 6.45196e10i 1.97822 3.42638i
\(193\) −2.01570e10 −1.04573 −0.522864 0.852416i \(-0.675136\pi\)
−0.522864 + 0.852416i \(0.675136\pi\)
\(194\) −3.76705e10 −1.90939
\(195\) −7.39992e9 + 1.28170e10i −0.366497 + 0.634792i
\(196\) 7.67783e9 1.32984e10i 0.371609 0.643645i
\(197\) −3.22336e9 5.58302e9i −0.152479 0.264102i 0.779659 0.626204i \(-0.215392\pi\)
−0.932138 + 0.362103i \(0.882059\pi\)
\(198\) 1.08906e9 + 1.88631e9i 0.0503569 + 0.0872207i
\(199\) 3.64070e9 0.164568 0.0822842 0.996609i \(-0.473778\pi\)
0.0822842 + 0.996609i \(0.473778\pi\)
\(200\) 6.77767e10 + 1.17393e11i 2.99534 + 5.18808i
\(201\) 3.85482e10 + 6.67675e10i 1.66580 + 2.88525i
\(202\) −2.02083e10 3.50019e10i −0.853983 1.47914i
\(203\) 1.63071e10 2.82447e10i 0.673975 1.16736i
\(204\) 3.21369e10 1.29918
\(205\) 3.11020e10 5.38703e10i 1.22997 2.13038i
\(206\) −2.47935e9 4.29436e9i −0.0959257 0.166148i
\(207\) −1.02311e11 −3.87306
\(208\) −9.76173e9 1.69078e10i −0.361611 0.626329i
\(209\) −1.67590e8 + 2.90274e8i −0.00607559 + 0.0105232i
\(210\) 6.94091e10 1.20220e11i 2.46280 4.26570i
\(211\) −3.85423e10 −1.33865 −0.669325 0.742970i \(-0.733417\pi\)
−0.669325 + 0.742970i \(0.733417\pi\)
\(212\) −3.85905e9 + 6.68407e9i −0.131211 + 0.227264i
\(213\) 9.06798e10 3.01858
\(214\) −6.98378e10 −2.27630
\(215\) 1.39423e10 5.25788e10i 0.445002 1.67818i
\(216\) 1.97647e11 6.17802
\(217\) −1.03346e9 −0.0316393
\(218\) 2.01949e9 3.49786e9i 0.0605602 0.104893i
\(219\) −5.53770e10 −1.62679
\(220\) 1.90812e9 3.30496e9i 0.0549166 0.0951183i
\(221\) 1.19327e9 2.06680e9i 0.0336491 0.0582819i
\(222\) −1.06577e10 1.84596e10i −0.294493 0.510076i
\(223\) 1.91596e10 0.518817 0.259408 0.965768i \(-0.416472\pi\)
0.259408 + 0.965768i \(0.416472\pi\)
\(224\) 4.43095e10 + 7.67463e10i 1.17593 + 2.03677i
\(225\) −8.39117e10 + 1.45339e11i −2.18274 + 3.78061i
\(226\) −3.27133e10 −0.834134
\(227\) −4.82965e9 + 8.36520e9i −0.120726 + 0.209103i −0.920054 0.391792i \(-0.871855\pi\)
0.799328 + 0.600894i \(0.205189\pi\)
\(228\) 4.61829e10 + 7.99911e10i 1.13181 + 1.96036i
\(229\) −5.15020e8 8.92041e8i −0.0123756 0.0214351i 0.859771 0.510679i \(-0.170606\pi\)
−0.872147 + 0.489244i \(0.837273\pi\)
\(230\) 1.24458e11 + 2.15568e11i 2.93256 + 5.07935i
\(231\) −1.59673e9 −0.0368959
\(232\) −1.04882e11 1.81660e11i −2.37686 4.11685i
\(233\) 7.33611e9 + 1.27065e10i 0.163066 + 0.282439i 0.935967 0.352088i \(-0.114528\pi\)
−0.772901 + 0.634527i \(0.781195\pi\)
\(234\) 2.22869e10 3.86021e10i 0.485936 0.841665i
\(235\) 1.86717e10 3.23404e10i 0.399374 0.691735i
\(236\) −5.11430e10 −1.07320
\(237\) −4.47983e10 −0.922347
\(238\) −1.11925e10 + 1.93860e10i −0.226116 + 0.391645i
\(239\) 3.46498e10 6.00152e10i 0.686926 1.18979i −0.285902 0.958259i \(-0.592293\pi\)
0.972827 0.231531i \(-0.0743735\pi\)
\(240\) −2.42080e11 4.19295e11i −4.70986 8.15772i
\(241\) 2.56322e10 + 4.43962e10i 0.489450 + 0.847753i 0.999926 0.0121391i \(-0.00386408\pi\)
−0.510476 + 0.859892i \(0.670531\pi\)
\(242\) 1.00796e11 1.88918
\(243\) 1.75296e10 + 3.03622e10i 0.322510 + 0.558604i
\(244\) −1.77704e10 3.07793e10i −0.320955 0.555910i
\(245\) −1.41395e10 2.44903e10i −0.250719 0.434258i
\(246\) −1.36895e11 + 2.37108e11i −2.38330 + 4.12799i
\(247\) 6.85923e9 0.117257
\(248\) −3.32345e9 + 5.75639e9i −0.0557900 + 0.0966312i
\(249\) −4.31953e10 7.48165e10i −0.712097 1.23339i
\(250\) 2.05602e11 3.32887
\(251\) −5.58542e10 9.67423e10i −0.888227 1.53845i −0.841969 0.539525i \(-0.818604\pi\)
−0.0462580 0.998930i \(-0.514730\pi\)
\(252\) −1.50543e11 + 2.60749e11i −2.35158 + 4.07305i
\(253\) 1.43155e9 2.47953e9i 0.0219667 0.0380475i
\(254\) 3.72899e10 0.562134
\(255\) 2.95917e10 5.12544e10i 0.438268 0.759102i
\(256\) 3.08588e10 0.449055
\(257\) 9.43089e10 1.34851 0.674254 0.738500i \(-0.264465\pi\)
0.674254 + 0.738500i \(0.264465\pi\)
\(258\) −6.13668e10 + 2.31424e11i −0.862272 + 3.25177i
\(259\) 1.06922e10 0.147645
\(260\) −7.80969e10 −1.05987
\(261\) 1.29850e11 2.24907e11i 1.73205 2.99999i
\(262\) 9.81827e10 1.28730
\(263\) 4.35081e10 7.53583e10i 0.560750 0.971248i −0.436681 0.899617i \(-0.643846\pi\)
0.997431 0.0716316i \(-0.0228206\pi\)
\(264\) −5.13483e9 + 8.89378e9i −0.0650591 + 0.112686i
\(265\) 7.10684e9 + 1.23094e10i 0.0885259 + 0.153331i
\(266\) −6.43376e10 −0.787948
\(267\) 6.63350e10 + 1.14896e11i 0.798807 + 1.38357i
\(268\) −2.03414e11 + 3.52324e11i −2.40865 + 4.17191i
\(269\) −1.22746e11 −1.42929 −0.714646 0.699486i \(-0.753412\pi\)
−0.714646 + 0.699486i \(0.753412\pi\)
\(270\) 2.97670e11 5.15579e11i 3.40877 5.90416i
\(271\) 6.92778e10 + 1.19993e11i 0.780247 + 1.35143i 0.931798 + 0.362978i \(0.118240\pi\)
−0.151551 + 0.988449i \(0.548427\pi\)
\(272\) 3.90364e10 + 6.76131e10i 0.432424 + 0.748981i
\(273\) 1.63380e10 + 2.82983e10i 0.178020 + 0.308339i
\(274\) 5.27590e9 0.0565483
\(275\) −2.34822e9 4.06724e9i −0.0247595 0.0428848i
\(276\) −3.94496e11 6.83286e11i −4.09215 7.08781i
\(277\) −9.41544e10 + 1.63080e11i −0.960907 + 1.66434i −0.240677 + 0.970605i \(0.577369\pi\)
−0.720230 + 0.693735i \(0.755964\pi\)
\(278\) 3.28314e10 5.68657e10i 0.329677 0.571017i
\(279\) −8.22926e9 −0.0813096
\(280\) 4.47864e11 4.35446
\(281\) −4.35950e9 + 7.55087e9i −0.0417117 + 0.0722468i −0.886128 0.463441i \(-0.846614\pi\)
0.844416 + 0.535688i \(0.179948\pi\)
\(282\) −8.21831e10 + 1.42345e11i −0.773858 + 1.34036i
\(283\) 6.78152e10 + 1.17459e11i 0.628475 + 1.08855i 0.987858 + 0.155361i \(0.0496539\pi\)
−0.359383 + 0.933190i \(0.617013\pi\)
\(284\) 2.39253e11 + 4.14399e11i 2.18235 + 3.77995i
\(285\) 1.70101e11 1.52723
\(286\) 6.23688e8 + 1.08026e9i 0.00551214 + 0.00954730i
\(287\) −6.86692e10 1.18938e11i −0.597438 1.03479i
\(288\) 3.52827e11 + 6.11115e11i 3.02201 + 5.23428i
\(289\) 5.45221e10 9.44351e10i 0.459761 0.796330i
\(290\) −6.31834e11 −5.24581
\(291\) 1.09948e11 1.90435e11i 0.898811 1.55679i
\(292\) −1.46109e11 2.53068e11i −1.17612 2.03711i
\(293\) −1.22821e11 −0.973572 −0.486786 0.873521i \(-0.661831\pi\)
−0.486786 + 0.873521i \(0.661831\pi\)
\(294\) 6.22346e10 + 1.07794e11i 0.485813 + 0.841453i
\(295\) −4.70925e10 + 8.15667e10i −0.362037 + 0.627067i
\(296\) 3.43844e10 5.95556e10i 0.260345 0.450931i
\(297\) −6.84778e9 −0.0510676
\(298\) 1.44038e11 2.49481e11i 1.05804 1.83258i
\(299\) −5.85917e10 −0.423951
\(300\) −1.29421e12 −9.22482
\(301\) −8.51430e10 8.47023e10i −0.597860 0.594766i
\(302\) 2.24068e11 1.55006
\(303\) 2.35926e11 1.60799
\(304\) −1.12196e11 + 1.94329e11i −0.753435 + 1.30499i
\(305\) −6.54521e10 −0.433086
\(306\) −8.91238e10 + 1.54367e11i −0.581095 + 1.00649i
\(307\) 1.40040e11 2.42557e11i 0.899768 1.55844i 0.0719769 0.997406i \(-0.477069\pi\)
0.827791 0.561037i \(-0.189597\pi\)
\(308\) −4.21288e9 7.29691e9i −0.0266748 0.0462020i
\(309\) 2.89456e10 0.180622
\(310\) 1.00107e10 + 1.73390e10i 0.0615652 + 0.106634i
\(311\) 1.22443e11 2.12078e11i 0.742186 1.28550i −0.209313 0.977849i \(-0.567123\pi\)
0.951498 0.307654i \(-0.0995440\pi\)
\(312\) 2.10162e11 1.25562
\(313\) −9.77401e10 + 1.69291e11i −0.575603 + 0.996974i 0.420373 + 0.907352i \(0.361899\pi\)
−0.995976 + 0.0896225i \(0.971434\pi\)
\(314\) −4.47800e9 7.75613e9i −0.0259957 0.0450258i
\(315\) 2.77241e11 + 4.80196e11i 1.58657 + 2.74803i
\(316\) −1.18198e11 2.04724e11i −0.666832 1.15499i
\(317\) 2.02968e11 1.12892 0.564458 0.825462i \(-0.309085\pi\)
0.564458 + 0.825462i \(0.309085\pi\)
\(318\) −3.12805e10 5.41795e10i −0.171535 0.297107i
\(319\) 3.63378e9 + 6.29389e9i 0.0196472 + 0.0340299i
\(320\) 3.61996e11 6.26995e11i 1.92987 3.34264i
\(321\) 2.03834e11 3.53050e11i 1.07153 1.85594i
\(322\) 5.49574e11 2.84888
\(323\) −2.74296e10 −0.140219
\(324\) −3.90404e11 + 6.76199e11i −1.96816 + 3.40896i
\(325\) −4.80549e10 + 8.32335e10i −0.238925 + 0.413831i
\(326\) 3.04709e10 + 5.27771e10i 0.149419 + 0.258801i
\(327\) 1.17885e10 + 2.04182e10i 0.0570154 + 0.0987536i
\(328\) −8.83315e11 −4.21389
\(329\) −4.12247e10 7.14033e10i −0.193989 0.335998i
\(330\) 1.54668e10 + 2.67892e10i 0.0717937 + 0.124350i
\(331\) 4.12186e10 + 7.13928e10i 0.188742 + 0.326910i 0.944831 0.327558i \(-0.106226\pi\)
−0.756089 + 0.654468i \(0.772892\pi\)
\(332\) 2.27936e11 3.94797e11i 1.02966 1.78342i
\(333\) 8.51400e10 0.379433
\(334\) 5.26562e10 9.12033e10i 0.231521 0.401006i
\(335\) 3.74608e11 + 6.48840e11i 1.62508 + 2.81473i
\(336\) −1.06896e12 −4.57546
\(337\) −1.30129e10 2.25390e10i −0.0549590 0.0951918i 0.837237 0.546840i \(-0.184169\pi\)
−0.892196 + 0.451648i \(0.850836\pi\)
\(338\) −2.14030e11 + 3.70711e11i −0.891969 + 1.54494i
\(339\) 9.54793e10 1.65375e11i 0.392654 0.680098i
\(340\) 3.12304e11 1.26742
\(341\) 1.15146e8 1.99438e8i 0.000461162 0.000798756i
\(342\) −5.12307e11 −2.02494
\(343\) −2.78616e11 −1.08688
\(344\) −7.45597e11 + 2.01857e11i −2.87072 + 0.777196i
\(345\) −1.45301e12 −5.52182
\(346\) −2.61233e11 −0.979909
\(347\) −1.66209e11 + 2.87882e11i −0.615419 + 1.06594i 0.374892 + 0.927068i \(0.377680\pi\)
−0.990311 + 0.138868i \(0.955654\pi\)
\(348\) 2.00273e12 7.32008
\(349\) 2.45948e10 4.25995e10i 0.0887421 0.153706i −0.818238 0.574880i \(-0.805049\pi\)
0.906980 + 0.421174i \(0.138382\pi\)
\(350\) 4.50741e11 7.80707e11i 1.60554 2.78088i
\(351\) 7.00677e10 + 1.21361e11i 0.246397 + 0.426773i
\(352\) −1.97474e10 −0.0685594
\(353\) −1.83755e11 3.18273e11i −0.629873 1.09097i −0.987577 0.157137i \(-0.949773\pi\)
0.357703 0.933835i \(-0.383560\pi\)
\(354\) 2.07276e11 3.59013e11i 0.701512 1.21505i
\(355\) 8.81218e11 2.94480
\(356\) −3.50041e11 + 6.06290e11i −1.15503 + 2.00058i
\(357\) −6.53347e10 1.13163e11i −0.212881 0.368720i
\(358\) 4.28100e11 + 7.41491e11i 1.37744 + 2.38579i
\(359\) 6.07837e10 + 1.05281e11i 0.193136 + 0.334521i 0.946288 0.323326i \(-0.104801\pi\)
−0.753152 + 0.657846i \(0.771468\pi\)
\(360\) 3.56625e12 11.1905
\(361\) 1.21926e11 + 2.11182e11i 0.377845 + 0.654446i
\(362\) −1.64321e11 2.84612e11i −0.502926 0.871094i
\(363\) −2.94190e11 + 5.09551e11i −0.889299 + 1.54031i
\(364\) −8.62138e10 + 1.49327e11i −0.257407 + 0.445842i
\(365\) −5.38148e11 −1.58703
\(366\) 2.88086e11 0.839183
\(367\) 2.41996e11 4.19149e11i 0.696323 1.20607i −0.273410 0.961898i \(-0.588152\pi\)
0.969733 0.244169i \(-0.0785151\pi\)
\(368\) 9.58380e11 1.65996e12i 2.72410 4.71828i
\(369\) −5.46798e11 9.47083e11i −1.53535 2.65931i
\(370\) −1.03570e11 1.79389e11i −0.287295 0.497609i
\(371\) 3.13819e10 0.0859998
\(372\) −3.17309e10 5.49595e10i −0.0859090 0.148799i
\(373\) −2.17830e11 3.77293e11i −0.582678 1.00923i −0.995161 0.0982626i \(-0.968671\pi\)
0.412482 0.910966i \(-0.364662\pi\)
\(374\) −2.49408e9 4.31988e9i −0.00659157 0.0114169i
\(375\) −6.00085e11 + 1.03938e12i −1.56701 + 2.71414i
\(376\) −5.30288e11 −1.36825
\(377\) 7.43630e10 1.28800e11i 0.189592 0.328383i
\(378\) −6.57215e11 1.13833e12i −1.65575 2.86784i
\(379\) 2.04842e11 0.509968 0.254984 0.966945i \(-0.417930\pi\)
0.254984 + 0.966945i \(0.417930\pi\)
\(380\) 4.48801e11 + 7.77346e11i 1.10415 + 1.91244i
\(381\) −1.08837e11 + 1.88511e11i −0.264615 + 0.458327i
\(382\) −1.82072e11 + 3.15357e11i −0.437479 + 0.757736i
\(383\) −2.41990e11 −0.574650 −0.287325 0.957833i \(-0.592766\pi\)
−0.287325 + 0.957833i \(0.592766\pi\)
\(384\) −5.35959e11 + 9.28309e11i −1.25789 + 2.17872i
\(385\) −1.55169e10 −0.0359941
\(386\) 8.62178e11 1.97676
\(387\) −6.77976e11 6.74467e11i −1.53644 1.52849i
\(388\) 1.16036e12 2.59927
\(389\) −2.00511e11 −0.443982 −0.221991 0.975049i \(-0.571256\pi\)
−0.221991 + 0.975049i \(0.571256\pi\)
\(390\) 3.16517e11 5.48224e11i 0.692798 1.19996i
\(391\) 2.34304e11 0.506972
\(392\) −2.00785e11 + 3.47770e11i −0.429481 + 0.743883i
\(393\) −2.86563e11 + 4.96342e11i −0.605974 + 1.04958i
\(394\) 1.37873e11 + 2.38803e11i 0.288235 + 0.499237i
\(395\) −4.35346e11 −0.899803
\(396\) −3.35463e10 5.81038e10i −0.0685513 0.118734i
\(397\) −3.61977e11 + 6.26962e11i −0.731347 + 1.26673i 0.224961 + 0.974368i \(0.427774\pi\)
−0.956308 + 0.292362i \(0.905559\pi\)
\(398\) −1.55724e11 −0.311087
\(399\) 1.87780e11 3.25245e11i 0.370913 0.642440i
\(400\) −1.57206e12 2.72289e12i −3.07043 5.31814i
\(401\) −1.82157e10 3.15505e10i −0.0351800 0.0609336i 0.847899 0.530157i \(-0.177867\pi\)
−0.883079 + 0.469224i \(0.844534\pi\)
\(402\) −1.64883e12 2.85585e12i −3.14889 5.45404i
\(403\) −4.71277e9 −0.00890027
\(404\) 6.22476e11 + 1.07816e12i 1.16254 + 2.01357i
\(405\) 7.18968e11 + 1.24529e12i 1.32789 + 2.29997i
\(406\) −6.97504e11 + 1.20811e12i −1.27403 + 2.20668i
\(407\) −1.19130e9 + 2.06339e9i −0.00215202 + 0.00372740i
\(408\) −8.40422e11 −1.50150
\(409\) −5.75787e11 −1.01744 −0.508718 0.860933i \(-0.669880\pi\)
−0.508718 + 0.860933i \(0.669880\pi\)
\(410\) −1.33033e12 + 2.30420e12i −2.32505 + 4.02710i
\(411\) −1.53986e10 + 2.66712e10i −0.0266191 + 0.0461057i
\(412\) 7.63712e10 + 1.32279e11i 0.130585 + 0.226179i
\(413\) 1.03974e11 + 1.80088e11i 0.175853 + 0.304587i
\(414\) 4.37614e12 7.32133
\(415\) −4.19768e11 7.27059e11i −0.694693 1.20324i
\(416\) 2.02059e11 + 3.49976e11i 0.330794 + 0.572952i
\(417\) 1.91648e11 + 3.31945e11i 0.310379 + 0.537593i
\(418\) 7.16832e9 1.24159e10i 0.0114848 0.0198923i
\(419\) 1.06917e12 1.69466 0.847330 0.531067i \(-0.178209\pi\)
0.847330 + 0.531067i \(0.178209\pi\)
\(420\) −2.13800e12 + 3.70313e12i −3.35264 + 5.80694i
\(421\) 2.32921e11 + 4.03431e11i 0.361359 + 0.625893i 0.988185 0.153267i \(-0.0489795\pi\)
−0.626826 + 0.779160i \(0.715646\pi\)
\(422\) 1.64857e12 2.53048
\(423\) −3.28264e11 5.68570e11i −0.498531 0.863480i
\(424\) 1.00919e11 1.74797e11i 0.151645 0.262656i
\(425\) 1.92168e11 3.32845e11i 0.285714 0.494871i
\(426\) −3.87866e12 −5.70608
\(427\) −7.22549e10 + 1.25149e11i −0.105182 + 0.182181i
\(428\) 2.15121e12 3.09875
\(429\) −7.28136e9 −0.0103790
\(430\) −5.96356e11 + 2.24896e12i −0.841197 + 3.17229i
\(431\) −7.28646e11 −1.01711 −0.508556 0.861029i \(-0.669820\pi\)
−0.508556 + 0.861029i \(0.669820\pi\)
\(432\) −4.58437e12 −6.33290
\(433\) 2.23749e11 3.87544e11i 0.305890 0.529817i −0.671569 0.740942i \(-0.734379\pi\)
0.977459 + 0.211125i \(0.0677127\pi\)
\(434\) 4.42044e10 0.0598084
\(435\) 1.84412e12 3.19411e12i 2.46937 4.27708i
\(436\) −6.22062e10 + 1.07744e11i −0.0824413 + 0.142792i
\(437\) 3.36710e11 + 5.83199e11i 0.441662 + 0.764981i
\(438\) 2.36864e12 3.07515
\(439\) −4.73790e11 8.20628e11i −0.608829 1.05452i −0.991434 0.130610i \(-0.958306\pi\)
0.382605 0.923912i \(-0.375027\pi\)
\(440\) −4.98998e10 + 8.64289e10i −0.0634690 + 0.109931i
\(441\) −4.97168e11 −0.625935
\(442\) −5.10398e10 + 8.84035e10i −0.0636076 + 0.110172i
\(443\) 2.27339e11 + 3.93763e11i 0.280451 + 0.485756i 0.971496 0.237056i \(-0.0761826\pi\)
−0.691045 + 0.722812i \(0.742849\pi\)
\(444\) 3.28288e11 + 5.68611e11i 0.400896 + 0.694372i
\(445\) 6.44637e11 + 1.11654e12i 0.779283 + 1.34976i
\(446\) −8.19514e11 −0.980730
\(447\) 8.40798e11 + 1.45631e12i 0.996112 + 1.72532i
\(448\) −7.99239e11 1.38432e12i −0.937402 1.62363i
\(449\) −7.26566e11 + 1.25845e12i −0.843658 + 1.46126i 0.0431233 + 0.999070i \(0.486269\pi\)
−0.886781 + 0.462189i \(0.847064\pi\)
\(450\) 3.58916e12 6.21661e12i 4.12607 7.14656i
\(451\) 3.06037e10 0.0348321
\(452\) 1.00766e12 1.13552
\(453\) −6.53980e11 + 1.13273e12i −0.729664 + 1.26381i
\(454\) 2.06579e11 3.57805e11i 0.228210 0.395271i
\(455\) 1.58772e11 + 2.75000e11i 0.173669 + 0.300803i
\(456\) −1.20774e12 2.09187e12i −1.30807 2.26565i
\(457\) −1.14496e12 −1.22791 −0.613954 0.789342i \(-0.710422\pi\)
−0.613954 + 0.789342i \(0.710422\pi\)
\(458\) 2.20290e10 + 3.81554e10i 0.0233938 + 0.0405192i
\(459\) −2.80196e11 4.85313e11i −0.294649 0.510346i
\(460\) −3.83367e12 6.64011e12i −3.99213 6.91457i
\(461\) −5.73707e10 + 9.93690e10i −0.0591611 + 0.102470i −0.894089 0.447889i \(-0.852176\pi\)
0.834928 + 0.550359i \(0.185509\pi\)
\(462\) 6.82971e10 0.0697451
\(463\) 2.94570e11 5.10210e11i 0.297902 0.515982i −0.677754 0.735289i \(-0.737046\pi\)
0.975656 + 0.219307i \(0.0703798\pi\)
\(464\) 2.43270e12 + 4.21356e12i 2.43645 + 4.22006i
\(465\) −1.16871e11 −0.115923
\(466\) −3.13788e11 5.43497e11i −0.308248 0.533901i
\(467\) 4.64153e11 8.03936e11i 0.451580 0.782160i −0.546904 0.837195i \(-0.684194\pi\)
0.998484 + 0.0550353i \(0.0175271\pi\)
\(468\) −6.86503e11 + 1.18906e12i −0.661509 + 1.14577i
\(469\) 1.65417e12 1.57871
\(470\) −7.98648e11 + 1.38330e12i −0.754944 + 1.30760i
\(471\) 5.22793e10 0.0489481
\(472\) 1.33746e12 1.24034
\(473\) 2.58323e10 6.99362e9i 0.0237294 0.00642432i
\(474\) 1.91616e12 1.74353
\(475\) 1.10463e12 0.995627
\(476\) 3.44763e11 5.97147e11i 0.307815 0.533150i
\(477\) 2.49888e11 0.221010
\(478\) −1.48208e12 + 2.56703e12i −1.29851 + 2.24909i
\(479\) −4.06020e10 + 7.03247e10i −0.0352401 + 0.0610377i −0.883108 0.469171i \(-0.844553\pi\)
0.847867 + 0.530208i \(0.177886\pi\)
\(480\) 5.01083e12 + 8.67900e12i 4.30848 + 7.46250i
\(481\) 4.87583e10 0.0415332
\(482\) −1.09637e12 1.89896e12i −0.925218 1.60253i
\(483\) −1.60403e12 + 2.77825e12i −1.34106 + 2.32279i
\(484\) −3.10480e12 −2.57176
\(485\) 1.06846e12 1.85063e12i 0.876843 1.51874i
\(486\) −7.49795e11 1.29868e12i −0.609648 1.05594i
\(487\) −7.52013e11 1.30253e12i −0.605822 1.04931i −0.991921 0.126857i \(-0.959511\pi\)
0.386099 0.922457i \(-0.373822\pi\)
\(488\) 4.64720e11 + 8.04918e11i 0.370938 + 0.642484i
\(489\) −3.55738e11 −0.281346
\(490\) 6.04790e11 + 1.04753e12i 0.473939 + 0.820886i
\(491\) −7.95575e11 1.37798e12i −0.617753 1.06998i −0.989895 0.141803i \(-0.954710\pi\)
0.372142 0.928176i \(-0.378623\pi\)
\(492\) 4.21676e12 7.30363e12i 3.24441 5.61948i
\(493\) −2.97372e11 + 5.15064e11i −0.226720 + 0.392690i
\(494\) −2.93390e11 −0.221653
\(495\) −1.23558e11 −0.0925011
\(496\) 7.70864e10 1.33518e11i 0.0571887 0.0990538i
\(497\) 9.72807e11 1.68495e12i 0.715193 1.23875i
\(498\) 1.84760e12 + 3.20013e12i 1.34609 + 2.33150i
\(499\) 7.57373e11 + 1.31181e12i 0.546837 + 0.947149i 0.998489 + 0.0549547i \(0.0175014\pi\)
−0.451652 + 0.892194i \(0.649165\pi\)
\(500\) −6.33314e12 −4.53163
\(501\) 3.07373e11 + 5.32385e11i 0.217969 + 0.377534i
\(502\) 2.38906e12 + 4.13797e12i 1.67903 + 2.90817i
\(503\) −8.94770e9 1.54979e10i −0.00623240 0.0107948i 0.862892 0.505388i \(-0.168651\pi\)
−0.869125 + 0.494593i \(0.835317\pi\)
\(504\) 3.93690e12 6.81892e12i 2.71780 4.70737i
\(505\) 2.29271e12 1.56869
\(506\) −6.12320e10 + 1.06057e11i −0.0415242 + 0.0719220i
\(507\) −1.24937e12 2.16397e12i −0.839759 1.45450i
\(508\) −1.14864e12 −0.765239
\(509\) −4.28798e11 7.42699e11i −0.283154 0.490437i 0.689006 0.724756i \(-0.258047\pi\)
−0.972160 + 0.234319i \(0.924714\pi\)
\(510\) −1.26573e12 + 2.19231e12i −0.828467 + 1.43495i
\(511\) −5.94080e11 + 1.02898e12i −0.385435 + 0.667593i
\(512\) 8.78166e11 0.564757
\(513\) 8.05319e11 1.39485e12i 0.513381 0.889202i
\(514\) −4.03388e12 −2.54911
\(515\) 2.81291e11 0.176207
\(516\) 1.89028e12 7.12854e12i 1.17382 4.42667i
\(517\) 1.83726e10 0.0113100
\(518\) −4.57339e11 −0.279097
\(519\) 7.62454e11 1.32061e12i 0.461276 0.798953i
\(520\) 2.04233e12 1.22493
\(521\) −1.35448e11 + 2.34603e11i −0.0805383 + 0.139496i −0.903481 0.428628i \(-0.858997\pi\)
0.822943 + 0.568124i \(0.192331\pi\)
\(522\) −5.55408e12 + 9.61995e12i −3.27412 + 5.67095i
\(523\) 1.33471e12 + 2.31178e12i 0.780062 + 1.35111i 0.931905 + 0.362702i \(0.118146\pi\)
−0.151843 + 0.988405i \(0.548521\pi\)
\(524\) −3.02432e12 −1.75241
\(525\) 2.63113e12 + 4.55725e12i 1.51156 + 2.61810i
\(526\) −1.86098e12 + 3.22331e12i −1.06000 + 1.83597i
\(527\) 1.88460e10 0.0106432
\(528\) 1.19101e11 2.06288e11i 0.0666901 0.115511i
\(529\) −1.97561e12 3.42186e12i −1.09686 1.89982i
\(530\) −3.03981e11 5.26511e11i −0.167342 0.289845i
\(531\) 8.27925e11 + 1.43401e12i 0.451924 + 0.782756i
\(532\) 1.98179e12 1.07264
\(533\) −3.13143e11 5.42379e11i −0.168062 0.291092i
\(534\) −2.83735e12 4.91444e12i −1.51000 2.61540i
\(535\) 1.98084e12 3.43091e12i 1.04534 1.81058i
\(536\) 5.31954e12 9.21372e12i 2.78377 4.82162i
\(537\) −4.99794e12 −2.59362
\(538\) 5.25021e12 2.70182
\(539\) 6.95649e9 1.20490e10i 0.00355010 0.00614895i
\(540\) −9.16910e12 + 1.58813e13i −4.64039 + 8.03739i
\(541\) 1.14364e12 + 1.98084e12i 0.573987 + 0.994174i 0.996151 + 0.0876546i \(0.0279372\pi\)
−0.422164 + 0.906519i \(0.638729\pi\)
\(542\) −2.96322e12 5.13245e12i −1.47492 2.55463i
\(543\) 1.91839e12 0.946976
\(544\) −8.08018e11 1.39953e12i −0.395572 0.685151i
\(545\) 1.14559e11 + 1.98422e11i 0.0556219 + 0.0963399i
\(546\) −6.98828e11 1.21041e12i −0.336514 0.582860i
\(547\) −4.19136e11 + 7.25965e11i −0.200176 + 0.346715i −0.948585 0.316522i \(-0.897485\pi\)
0.748409 + 0.663238i \(0.230818\pi\)
\(548\) −1.62513e11 −0.0769797
\(549\) −5.75351e11 + 9.96537e11i −0.270307 + 0.468185i
\(550\) 1.00441e11 + 1.73968e11i 0.0468034 + 0.0810659i
\(551\) −1.70937e12 −0.790050
\(552\) 1.03166e13 + 1.78688e13i 4.72944 + 8.19162i
\(553\) −4.80593e11 + 8.32412e11i −0.218532 + 0.378508i
\(554\) 4.02727e12 6.97544e12i 1.81642 3.14614i
\(555\) 1.20915e12 0.540956
\(556\) −1.01130e12 + 1.75163e12i −0.448792 + 0.777331i
\(557\) −9.92043e11 −0.436699 −0.218349 0.975871i \(-0.570067\pi\)
−0.218349 + 0.975871i \(0.570067\pi\)
\(558\) 3.51991e11 0.153701
\(559\) −3.88266e11 3.86256e11i −0.168181 0.167310i
\(560\) −1.03881e13 −4.46363
\(561\) 2.91176e10 0.0124115
\(562\) 1.86469e11 3.22974e11i 0.0788485 0.136570i
\(563\) 3.07182e12 1.28857 0.644285 0.764785i \(-0.277155\pi\)
0.644285 + 0.764785i \(0.277155\pi\)
\(564\) 2.53148e12 4.38465e12i 1.05346 1.82465i
\(565\) 9.27859e11 1.60710e12i 0.383057 0.663475i
\(566\) −2.90066e12 5.02410e12i −1.18802 2.05771i
\(567\) 3.17477e12 1.29000
\(568\) −6.25678e12 1.08371e13i −2.52222 4.36861i
\(569\) 1.14227e12 1.97847e12i 0.456840 0.791270i −0.541952 0.840410i \(-0.682314\pi\)
0.998792 + 0.0491392i \(0.0156478\pi\)
\(570\) −7.27575e12 −2.88696
\(571\) 3.69265e10 6.39586e10i 0.0145370 0.0251789i −0.858665 0.512537i \(-0.828706\pi\)
0.873202 + 0.487358i \(0.162039\pi\)
\(572\) −1.92114e10 3.32751e10i −0.00750373 0.0129968i
\(573\) −1.06281e12 1.84085e12i −0.411871 0.713382i
\(574\) 2.93719e12 + 5.08736e12i 1.12935 + 1.95609i
\(575\) −9.43580e12 −3.59976
\(576\) −6.36418e12 1.10231e13i −2.40902 4.17255i
\(577\) −2.58764e11 4.48192e11i −0.0971879 0.168334i 0.813332 0.581800i \(-0.197651\pi\)
−0.910520 + 0.413466i \(0.864318\pi\)
\(578\) −2.33208e12 + 4.03928e12i −0.869097 + 1.50532i
\(579\) −2.51641e12 + 4.35856e12i −0.930526 + 1.61172i
\(580\) 1.94624e13 7.14117
\(581\) −1.85358e12 −0.674870
\(582\) −4.70281e12 + 8.14550e12i −1.69904 + 2.94283i
\(583\) −3.49649e9 + 6.05610e9i −0.00125350 + 0.00217112i
\(584\) 3.82093e12 + 6.61805e12i 1.35929 + 2.35436i
\(585\) 1.26427e12 + 2.18977e12i 0.446310 + 0.773032i
\(586\) 5.25343e12 1.84036
\(587\) 3.59480e10 + 6.22637e10i 0.0124969 + 0.0216453i 0.872206 0.489138i \(-0.162689\pi\)
−0.859709 + 0.510784i \(0.829355\pi\)
\(588\) −1.91701e12 3.32036e12i −0.661342 1.14548i
\(589\) 2.70830e10 + 4.69091e10i 0.00927209 + 0.0160597i
\(590\) 2.01429e12 3.48886e12i 0.684366 1.18536i
\(591\) −1.60962e12 −0.542726
\(592\) −7.97537e11 + 1.38137e12i −0.266872 + 0.462236i
\(593\) −1.74425e12 3.02114e12i −0.579247 1.00328i −0.995566 0.0940662i \(-0.970013\pi\)
0.416319 0.909218i \(-0.363320\pi\)
\(594\) 2.92901e11 0.0965342
\(595\) −6.34916e11 1.09971e12i −0.207678 0.359708i
\(596\) −4.43679e12 + 7.68474e12i −1.44033 + 2.49472i
\(597\) 4.54508e11 7.87230e11i 0.146439 0.253640i
\(598\) 2.50615e12 0.801404
\(599\) 3.52018e11 6.09713e11i 0.111723 0.193511i −0.804742 0.593625i \(-0.797696\pi\)
0.916465 + 0.400114i \(0.131030\pi\)
\(600\) 3.38452e13 10.6614
\(601\) 5.89374e12 1.84270 0.921352 0.388729i \(-0.127086\pi\)
0.921352 + 0.388729i \(0.127086\pi\)
\(602\) 3.64183e12 + 3.62298e12i 1.13015 + 1.12430i
\(603\) 1.31718e13 4.05712
\(604\) −6.90194e12 −2.11011
\(605\) −2.85891e12 + 4.95177e12i −0.867563 + 1.50266i
\(606\) −1.00913e13 −3.03962
\(607\) 4.95821e11 8.58787e11i 0.148243 0.256765i −0.782335 0.622858i \(-0.785971\pi\)
0.930578 + 0.366093i \(0.119305\pi\)
\(608\) 2.32235e12 4.02243e12i 0.689226 1.19377i
\(609\) −4.07157e12 7.05216e12i −1.19946 2.07752i
\(610\) 2.79959e12 0.818672
\(611\) −1.87992e11 3.25611e11i −0.0545699 0.0945178i
\(612\) 2.74528e12 4.75496e12i 0.791051 1.37014i
\(613\) −2.62107e12 −0.749733 −0.374866 0.927079i \(-0.622311\pi\)
−0.374866 + 0.927079i \(0.622311\pi\)
\(614\) −5.98996e12 + 1.03749e13i −1.70085 + 2.94596i
\(615\) −7.76559e12 1.34504e13i −2.18895 3.79138i
\(616\) 1.10172e11 + 1.90824e11i 0.0308289 + 0.0533973i
\(617\) 2.62871e12 + 4.55306e12i 0.730229 + 1.26479i 0.956785 + 0.290796i \(0.0939200\pi\)
−0.226556 + 0.973998i \(0.572747\pi\)
\(618\) −1.23809e12 −0.341433
\(619\) 2.66072e12 + 4.60849e12i 0.728434 + 1.26169i 0.957545 + 0.288285i \(0.0930850\pi\)
−0.229110 + 0.973400i \(0.573582\pi\)
\(620\) −3.08358e11 5.34091e11i −0.0838093 0.145162i
\(621\) −6.87906e12 + 1.19149e13i −1.85617 + 3.21497i
\(622\) −5.23727e12 + 9.07121e12i −1.40297 + 2.43001i
\(623\) 2.84655e12 0.757046
\(624\) −4.87464e12 −1.28710
\(625\) −1.98959e12 + 3.44607e12i −0.521558 + 0.903366i
\(626\) 4.18065e12 7.24109e12i 1.08807 1.88460i
\(627\) 4.18440e10 + 7.24759e10i 0.0108126 + 0.0187279i
\(628\) 1.37936e11 + 2.38912e11i 0.0353882 + 0.0612941i
\(629\) −1.94981e11 −0.0496666
\(630\) −1.18585e13 2.05394e13i −2.99913 5.19465i
\(631\) −2.60288e12 4.50832e12i −0.653615 1.13209i −0.982239 0.187634i \(-0.939918\pi\)
0.328624 0.944461i \(-0.393415\pi\)
\(632\) 3.09102e12 + 5.35380e12i 0.770681 + 1.33486i
\(633\) −4.81165e12 + 8.33402e12i −1.19118 + 2.06318i
\(634\) −8.68158e12 −2.13401
\(635\) −1.05767e12 + 1.83194e12i −0.258147 + 0.447125i
\(636\) 9.63533e11 + 1.66889e12i 0.233512 + 0.404455i
\(637\) −2.84720e11 −0.0685158
\(638\) −1.55428e11 2.69209e11i −0.0371395 0.0643275i
\(639\) 7.74626e12 1.34169e13i 1.83797 3.18346i
\(640\) −5.20840e12 + 9.02122e12i −1.22714 + 2.12547i
\(641\) 9.45034e11 0.221099 0.110549 0.993871i \(-0.464739\pi\)
0.110549 + 0.993871i \(0.464739\pi\)
\(642\) −8.71860e12 + 1.51011e13i −2.02553 + 3.50832i
\(643\) −3.22035e12 −0.742940 −0.371470 0.928445i \(-0.621146\pi\)
−0.371470 + 0.928445i \(0.621146\pi\)
\(644\) −1.69285e13 −3.87821
\(645\) −9.62856e12 9.57872e12i −2.19050 2.17916i
\(646\) 1.17325e12 0.265059
\(647\) 5.96250e12 1.33770 0.668851 0.743396i \(-0.266786\pi\)
0.668851 + 0.743396i \(0.266786\pi\)
\(648\) 1.02096e13 1.76835e13i 2.27467 3.93985i
\(649\) −4.63381e10 −0.0102527
\(650\) 2.05546e12 3.56015e12i 0.451646 0.782273i
\(651\) −1.29018e11 + 2.23466e11i −0.0281538 + 0.0487638i
\(652\) −9.38592e11 1.62569e12i −0.203406 0.352309i
\(653\) 4.31706e12 0.929136 0.464568 0.885537i \(-0.346210\pi\)
0.464568 + 0.885537i \(0.346210\pi\)
\(654\) −5.04229e11 8.73350e11i −0.107777 0.186676i
\(655\) −2.78479e12 + 4.82340e12i −0.591163 + 1.02392i
\(656\) 2.04882e13 4.31953
\(657\) −4.73054e12 + 8.19354e12i −0.990528 + 1.71564i
\(658\) 1.76331e12 + 3.05414e12i 0.366701 + 0.635144i
\(659\) −3.88514e12 6.72926e12i −0.802458 1.38990i −0.917994 0.396595i \(-0.870192\pi\)
0.115536 0.993303i \(-0.463141\pi\)
\(660\) −4.76421e11 8.25186e11i −0.0977335 0.169279i
\(661\) 5.93519e12 1.20928 0.604642 0.796497i \(-0.293316\pi\)
0.604642 + 0.796497i \(0.293316\pi\)
\(662\) −1.76305e12 3.05369e12i −0.356782 0.617965i
\(663\) −2.97937e11 5.16042e11i −0.0598844 0.103723i
\(664\) −5.96082e12 + 1.03245e13i −1.19001 + 2.06115i
\(665\) 1.82483e12 3.16070e12i 0.361847 0.626738i
\(666\) −3.64170e12 −0.717249
\(667\) 1.46015e13 2.85648
\(668\) −1.62197e12 + 2.80933e12i −0.315172 + 0.545894i
\(669\) 2.39189e12 4.14288e12i 0.461662 0.799622i
\(670\) −1.60231e13 2.77529e13i −3.07193 5.32074i
\(671\) −1.61009e10 2.78875e10i −0.00306618 0.00531079i
\(672\) 2.21265e13 4.18553
\(673\) 3.93475e12 + 6.81519e12i 0.739349 + 1.28059i 0.952789 + 0.303634i \(0.0982000\pi\)
−0.213440 + 0.976956i \(0.568467\pi\)
\(674\) 5.56601e11 + 9.64061e11i 0.103890 + 0.179943i
\(675\) 1.12839e13 + 1.95443e13i 2.09215 + 3.62372i
\(676\) 6.59276e12 1.14190e13i 1.21425 2.10314i
\(677\) 4.84579e12 0.886576 0.443288 0.896379i \(-0.353812\pi\)
0.443288 + 0.896379i \(0.353812\pi\)
\(678\) −4.08394e12 + 7.07360e12i −0.742243 + 1.28560i
\(679\) −2.35903e12 4.08595e12i −0.425911 0.737699i
\(680\) −8.16714e12 −1.46481
\(681\) 1.20587e12 + 2.08863e12i 0.214852 + 0.372135i
\(682\) −4.92514e9 + 8.53059e9i −0.000871744 + 0.00150990i
\(683\) −4.44522e12 + 7.69934e12i −0.781627 + 1.35382i 0.149366 + 0.988782i \(0.452277\pi\)
−0.930993 + 0.365036i \(0.881057\pi\)
\(684\) 1.57806e13 2.75658
\(685\) −1.49642e11 + 2.59188e11i −0.0259685 + 0.0449788i
\(686\) 1.19172e13 2.05455
\(687\) −2.57182e11 −0.0440489
\(688\) 1.72939e13 4.68201e12i 2.94269 0.796681i
\(689\) 1.43107e11 0.0241921
\(690\) 6.21496e13 10.4380
\(691\) 1.35072e12 2.33952e12i 0.225379 0.390369i −0.731054 0.682320i \(-0.760971\pi\)
0.956433 + 0.291951i \(0.0943045\pi\)
\(692\) 8.04675e12 1.33396
\(693\) −1.36400e11 + 2.36251e11i −0.0224654 + 0.0389112i
\(694\) 7.10925e12 1.23136e13i 1.16334 2.01496i
\(695\) 1.86242e12 + 3.22581e12i 0.302793 + 0.524453i
\(696\) −5.23740e13 −8.46007
\(697\) 1.25224e12 + 2.16894e12i 0.200973 + 0.348096i
\(698\) −1.05200e12 + 1.82211e12i −0.167751 + 0.290553i
\(699\) 3.66338e12 0.580410
\(700\) −1.38842e13 + 2.40481e13i −2.18564 + 3.78564i
\(701\) 2.63924e12 + 4.57130e12i 0.412808 + 0.715005i 0.995196 0.0979068i \(-0.0312147\pi\)
−0.582388 + 0.812911i \(0.697881\pi\)
\(702\) −2.99701e12 5.19098e12i −0.465770 0.806737i
\(703\) −2.80201e11 4.85322e11i −0.0432683 0.0749429i
\(704\) 3.56196e11 0.0546528
\(705\) −4.66198e12 8.07479e12i −0.710754 1.23106i
\(706\) 7.85977e12 + 1.36135e13i 1.19066 + 2.06229i
\(707\) 2.53100e12 4.38382e12i 0.380982 0.659880i
\(708\) −6.38472e12 + 1.10587e13i −0.954976 + 1.65407i
\(709\) 3.10316e12 0.461207 0.230603 0.973048i \(-0.425930\pi\)
0.230603 + 0.973048i \(0.425930\pi\)
\(710\) −3.76924e13 −5.56662
\(711\) −3.82687e12 + 6.62833e12i −0.561604 + 0.972726i
\(712\) 9.15403e12 1.58552e13i 1.33491 2.31213i
\(713\) −2.31344e11 4.00699e11i −0.0335239 0.0580651i
\(714\) 2.79456e12 + 4.84033e12i 0.402413 + 0.697000i
\(715\) −7.07596e10 −0.0101253
\(716\) −1.31867e13 2.28401e13i −1.87512 3.24780i
\(717\) −8.65139e12 1.49847e13i −1.22250 2.11744i
\(718\) −2.59991e12 4.50317e12i −0.365088 0.632352i
\(719\) −2.96682e12 + 5.13868e12i −0.414010 + 0.717087i −0.995324 0.0965927i \(-0.969206\pi\)
0.581314 + 0.813680i \(0.302539\pi\)
\(720\) −8.27180e13 −11.4711
\(721\) 3.10527e11 5.37848e11i 0.0427947 0.0741226i
\(722\) −5.21514e12 9.03289e12i −0.714247 1.23711i
\(723\) 1.27997e13 1.74212
\(724\) 5.06156e12 + 8.76689e12i 0.684638 + 1.18583i
\(725\) 1.19757e13 2.07424e13i 1.60982 2.78830i
\(726\) 1.25834e13 2.17951e13i 1.68106 2.91168i
\(727\) 3.60417e12 0.478520 0.239260 0.970956i \(-0.423095\pi\)
0.239260 + 0.970956i \(0.423095\pi\)
\(728\) 2.25460e12 3.90508e12i 0.297494 0.515275i
\(729\) −2.91105e12 −0.381747
\(730\) 2.30183e13 2.99999
\(731\) 1.55265e12 + 1.54461e12i 0.201115 + 0.200074i
\(732\) −8.87388e12 −1.14239
\(733\) −4.70742e12 −0.602303 −0.301151 0.953576i \(-0.597371\pi\)
−0.301151 + 0.953576i \(0.597371\pi\)
\(734\) −1.03509e13 + 1.79283e13i −1.31627 + 2.27985i
\(735\) −7.06074e12 −0.892395
\(736\) −1.98376e13 + 3.43597e13i −2.49195 + 4.31618i
\(737\) −1.84303e11 + 3.19223e11i −0.0230107 + 0.0398556i
\(738\) 2.33883e13 + 4.05096e13i 2.90231 + 5.02695i
\(739\) −3.84299e11 −0.0473990 −0.0236995 0.999719i \(-0.507544\pi\)
−0.0236995 + 0.999719i \(0.507544\pi\)
\(740\) 3.19027e12 + 5.52571e12i 0.391097 + 0.677400i
\(741\) 8.56310e11 1.48317e12i 0.104340 0.180721i
\(742\) −1.34230e12 −0.162567
\(743\) 7.84203e10 1.35828e11i 0.00944015 0.0163508i −0.861267 0.508153i \(-0.830328\pi\)
0.870707 + 0.491802i \(0.163662\pi\)
\(744\) 8.29803e11 + 1.43726e12i 0.0992880 + 0.171972i
\(745\) 8.17080e12 + 1.41522e13i 0.971765 + 1.68315i
\(746\) 9.31728e12 + 1.61380e13i 1.10145 + 1.90777i
\(747\) −1.47597e13 −1.73434
\(748\) 7.68251e10 + 1.33065e11i 0.00897317 + 0.0155420i
\(749\) −4.37343e12 7.57500e12i −0.507755 0.879457i
\(750\) 2.56675e13 4.44574e13i 2.96215 5.13060i
\(751\) −1.67478e12 + 2.90081e12i −0.192123 + 0.332767i −0.945954 0.324302i \(-0.894871\pi\)
0.753831 + 0.657069i \(0.228204\pi\)
\(752\) 1.22999e13 1.40256
\(753\) −2.78915e13 −3.16151
\(754\) −3.18073e12 + 5.50919e12i −0.358390 + 0.620750i
\(755\) −6.35532e12 + 1.10077e13i −0.711830 + 1.23292i
\(756\) 2.02442e13 + 3.50639e13i 2.25399 + 3.90402i
\(757\) −7.32393e12 1.26854e13i −0.810611 1.40402i −0.912437 0.409217i \(-0.865802\pi\)
0.101826 0.994802i \(-0.467531\pi\)
\(758\) −8.76173e12 −0.964003
\(759\) −3.57432e11 6.19091e11i −0.0390936 0.0677121i
\(760\) −1.17367e13 2.03286e13i −1.27610 2.21028i
\(761\) 3.26121e12 + 5.64859e12i 0.352491 + 0.610533i 0.986685 0.162641i \(-0.0520013\pi\)
−0.634194 + 0.773174i \(0.718668\pi\)
\(762\) 4.65530e12 8.06321e12i 0.500207 0.866385i
\(763\) 5.05863e11 0.0540347