Properties

Label 43.10.c.a.6.18
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 6.18
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.18

$q$-expansion

\(f(q)\) \(=\) \(q+2.09785 q^{2} +(102.202 - 177.020i) q^{3} -507.599 q^{4} +(-192.277 + 333.034i) q^{5} +(214.405 - 371.361i) q^{6} +(2053.75 + 3557.19i) q^{7} -2138.97 q^{8} +(-11049.2 - 19137.7i) q^{9} +O(q^{10})\) \(q+2.09785 q^{2} +(102.202 - 177.020i) q^{3} -507.599 q^{4} +(-192.277 + 333.034i) q^{5} +(214.405 - 371.361i) q^{6} +(2053.75 + 3557.19i) q^{7} -2138.97 q^{8} +(-11049.2 - 19137.7i) q^{9} +(-403.369 + 698.655i) q^{10} -71976.0 q^{11} +(-51877.8 + 89855.0i) q^{12} +(58452.9 + 101243. i) q^{13} +(4308.45 + 7462.46i) q^{14} +(39302.4 + 68073.7i) q^{15} +255403. q^{16} +(-50468.0 - 87413.1i) q^{17} +(-23179.5 - 40148.0i) q^{18} +(-478542. + 828858. i) q^{19} +(97599.7 - 169048. i) q^{20} +839591. q^{21} -150995. q^{22} +(1.31140e6 - 2.27141e6i) q^{23} +(-218608. + 378639. i) q^{24} +(902621. + 1.56339e6i) q^{25} +(122626. + 212394. i) q^{26} -493701. q^{27} +(-1.04248e6 - 1.80563e6i) q^{28} +(2.71377e6 + 4.70039e6i) q^{29} +(82450.5 + 142808. i) q^{30} +(-3.22702e6 + 5.58936e6i) q^{31} +1.63095e6 q^{32} +(-7.35612e6 + 1.27412e7i) q^{33} +(-105874. - 183380. i) q^{34} -1.57955e6 q^{35} +(5.60854e6 + 9.71428e6i) q^{36} +(-1.12717e6 + 1.95231e6i) q^{37} +(-1.00391e6 + 1.73882e6i) q^{38} +2.38961e7 q^{39} +(411274. - 712348. i) q^{40} -3.25017e7 q^{41} +1.76134e6 q^{42} +(1.00494e7 + 2.00400e7i) q^{43} +3.65350e7 q^{44} +8.49800e6 q^{45} +(2.75113e6 - 4.76509e6i) q^{46} -4.35786e7 q^{47} +(2.61028e7 - 4.52115e7i) q^{48} +(1.17411e7 - 2.03361e7i) q^{49} +(1.89357e6 + 3.27975e6i) q^{50} -2.06318e7 q^{51} +(-2.96706e7 - 5.13911e7i) q^{52} +(-8.12950e6 + 1.40807e7i) q^{53} -1.03571e6 q^{54} +(1.38393e7 - 2.39704e7i) q^{55} +(-4.39290e6 - 7.60872e6i) q^{56} +(9.78162e7 + 1.69423e8i) q^{57} +(5.69308e6 + 9.86071e6i) q^{58} -5.01615e7 q^{59} +(-1.99498e7 - 3.45541e7i) q^{60} +(-3.51956e7 - 6.09605e7i) q^{61} +(-6.76981e6 + 1.17257e7i) q^{62} +(4.53843e7 - 7.86080e7i) q^{63} -1.27345e8 q^{64} -4.49566e7 q^{65} +(-1.54320e7 + 2.67291e7i) q^{66} +(-3.17585e7 + 5.50073e7i) q^{67} +(2.56175e7 + 4.43708e7i) q^{68} +(-2.68057e8 - 4.64288e8i) q^{69} -3.31367e6 q^{70} +(-3.46313e7 - 5.99832e7i) q^{71} +(2.36338e7 + 4.09349e7i) q^{72} +(7.99681e7 + 1.38509e8i) q^{73} +(-2.36463e6 + 4.09566e6i) q^{74} +3.69000e8 q^{75} +(2.42907e8 - 4.20728e8i) q^{76} +(-1.47821e8 - 2.56033e8i) q^{77} +5.01305e7 q^{78} +(-5.78269e7 - 1.00159e8i) q^{79} +(-4.91083e7 + 8.50580e7i) q^{80} +(1.67023e8 - 2.89292e8i) q^{81} -6.81837e7 q^{82} +(-1.99146e8 + 3.44931e8i) q^{83} -4.26176e8 q^{84} +3.88153e7 q^{85} +(2.10821e7 + 4.20410e7i) q^{86} +1.10941e9 q^{87} +1.53954e8 q^{88} +(2.72020e7 - 4.71152e7i) q^{89} +1.78275e7 q^{90} +(-2.40095e8 + 4.15857e8i) q^{91} +(-6.65666e8 + 1.15297e9i) q^{92} +(6.59618e8 + 1.14249e9i) q^{93} -9.14214e7 q^{94} +(-1.84025e8 - 3.18741e8i) q^{95} +(1.66687e8 - 2.88710e8i) q^{96} -1.64409e9 q^{97} +(2.46310e7 - 4.26621e7i) q^{98} +(7.95274e8 + 1.37746e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.09785 0.0927128 0.0463564 0.998925i \(-0.485239\pi\)
0.0463564 + 0.998925i \(0.485239\pi\)
\(3\) 102.202 177.020i 0.728476 1.26176i −0.229051 0.973414i \(-0.573562\pi\)
0.957527 0.288343i \(-0.0931045\pi\)
\(4\) −507.599 −0.991404
\(5\) −192.277 + 333.034i −0.137582 + 0.238300i −0.926581 0.376095i \(-0.877267\pi\)
0.788999 + 0.614395i \(0.210600\pi\)
\(6\) 214.405 371.361i 0.0675391 0.116981i
\(7\) 2053.75 + 3557.19i 0.323300 + 0.559972i 0.981167 0.193162i \(-0.0618744\pi\)
−0.657867 + 0.753134i \(0.728541\pi\)
\(8\) −2138.97 −0.184629
\(9\) −11049.2 19137.7i −0.561355 0.972296i
\(10\) −403.369 + 698.655i −0.0127556 + 0.0220934i
\(11\) −71976.0 −1.48225 −0.741124 0.671368i \(-0.765707\pi\)
−0.741124 + 0.671368i \(0.765707\pi\)
\(12\) −51877.8 + 89855.0i −0.722215 + 1.25091i
\(13\) 58452.9 + 101243.i 0.567624 + 0.983154i 0.996800 + 0.0799334i \(0.0254708\pi\)
−0.429176 + 0.903221i \(0.641196\pi\)
\(14\) 4308.45 + 7462.46i 0.0299740 + 0.0519166i
\(15\) 39302.4 + 68073.7i 0.200451 + 0.347191i
\(16\) 255403. 0.974287
\(17\) −50468.0 87413.1i −0.146553 0.253838i 0.783398 0.621520i \(-0.213485\pi\)
−0.929951 + 0.367683i \(0.880151\pi\)
\(18\) −23179.5 40148.0i −0.0520448 0.0901443i
\(19\) −478542. + 828858.i −0.842420 + 1.45911i 0.0454235 + 0.998968i \(0.485536\pi\)
−0.887843 + 0.460146i \(0.847797\pi\)
\(20\) 97599.7 169048.i 0.136400 0.236251i
\(21\) 839591. 0.942065
\(22\) −150995. −0.137423
\(23\) 1.31140e6 2.27141e6i 0.977148 1.69247i 0.304492 0.952515i \(-0.401513\pi\)
0.672656 0.739955i \(-0.265153\pi\)
\(24\) −218608. + 378639.i −0.134498 + 0.232957i
\(25\) 902621. + 1.56339e6i 0.462142 + 0.800454i
\(26\) 122626. + 212394.i 0.0526260 + 0.0911510i
\(27\) −493701. −0.178783
\(28\) −1.04248e6 1.80563e6i −0.320521 0.555159i
\(29\) 2.71377e6 + 4.70039e6i 0.712495 + 1.23408i 0.963918 + 0.266200i \(0.0857683\pi\)
−0.251422 + 0.967877i \(0.580898\pi\)
\(30\) 82450.5 + 142808.i 0.0185844 + 0.0321891i
\(31\) −3.22702e6 + 5.58936e6i −0.627587 + 1.08701i 0.360447 + 0.932780i \(0.382624\pi\)
−0.988034 + 0.154233i \(0.950709\pi\)
\(32\) 1.63095e6 0.274958
\(33\) −7.35612e6 + 1.27412e7i −1.07978 + 1.87024i
\(34\) −105874. 183380.i −0.0135874 0.0235340i
\(35\) −1.57955e6 −0.177921
\(36\) 5.60854e6 + 9.71428e6i 0.556530 + 0.963938i
\(37\) −1.12717e6 + 1.95231e6i −0.0988738 + 0.171254i −0.911219 0.411923i \(-0.864857\pi\)
0.812345 + 0.583177i \(0.198191\pi\)
\(38\) −1.00391e6 + 1.73882e6i −0.0781031 + 0.135279i
\(39\) 2.38961e7 1.65400
\(40\) 411274. 712348.i 0.0254016 0.0439969i
\(41\) −3.25017e7 −1.79630 −0.898149 0.439692i \(-0.855088\pi\)
−0.898149 + 0.439692i \(0.855088\pi\)
\(42\) 1.76134e6 0.0873415
\(43\) 1.00494e7 + 2.00400e7i 0.448261 + 0.893903i
\(44\) 3.65350e7 1.46951
\(45\) 8.49800e6 0.308930
\(46\) 2.75113e6 4.76509e6i 0.0905941 0.156914i
\(47\) −4.35786e7 −1.30267 −0.651333 0.758792i \(-0.725790\pi\)
−0.651333 + 0.758792i \(0.725790\pi\)
\(48\) 2.61028e7 4.52115e7i 0.709745 1.22931i
\(49\) 1.17411e7 2.03361e7i 0.290954 0.503948i
\(50\) 1.89357e6 + 3.27975e6i 0.0428465 + 0.0742123i
\(51\) −2.06318e7 −0.427042
\(52\) −2.96706e7 5.13911e7i −0.562745 0.974703i
\(53\) −8.12950e6 + 1.40807e7i −0.141522 + 0.245123i −0.928070 0.372406i \(-0.878533\pi\)
0.786548 + 0.617529i \(0.211866\pi\)
\(54\) −1.03571e6 −0.0165755
\(55\) 1.38393e7 2.39704e7i 0.203931 0.353219i
\(56\) −4.39290e6 7.60872e6i −0.0596904 0.103387i
\(57\) 9.78162e7 + 1.69423e8i 1.22737 + 2.12586i
\(58\) 5.69308e6 + 9.86071e6i 0.0660574 + 0.114415i
\(59\) −5.01615e7 −0.538935 −0.269467 0.963010i \(-0.586848\pi\)
−0.269467 + 0.963010i \(0.586848\pi\)
\(60\) −1.99498e7 3.45541e7i −0.198728 0.344207i
\(61\) −3.51956e7 6.09605e7i −0.325464 0.563721i 0.656142 0.754638i \(-0.272187\pi\)
−0.981606 + 0.190917i \(0.938854\pi\)
\(62\) −6.76981e6 + 1.17257e7i −0.0581854 + 0.100780i
\(63\) 4.53843e7 7.86080e7i 0.362972 0.628686i
\(64\) −1.27345e8 −0.948795
\(65\) −4.49566e7 −0.312380
\(66\) −1.54320e7 + 2.67291e7i −0.100110 + 0.173395i
\(67\) −3.17585e7 + 5.50073e7i −0.192541 + 0.333490i −0.946092 0.323899i \(-0.895006\pi\)
0.753551 + 0.657390i \(0.228339\pi\)
\(68\) 2.56175e7 + 4.43708e7i 0.145294 + 0.251656i
\(69\) −2.68057e8 4.64288e8i −1.42366 2.46585i
\(70\) −3.31367e6 −0.0164956
\(71\) −3.46313e7 5.99832e7i −0.161736 0.280135i 0.773755 0.633484i \(-0.218376\pi\)
−0.935491 + 0.353350i \(0.885043\pi\)
\(72\) 2.36338e7 + 4.09349e7i 0.103642 + 0.179514i
\(73\) 7.99681e7 + 1.38509e8i 0.329582 + 0.570853i 0.982429 0.186637i \(-0.0597587\pi\)
−0.652847 + 0.757490i \(0.726425\pi\)
\(74\) −2.36463e6 + 4.09566e6i −0.00916686 + 0.0158775i
\(75\) 3.69000e8 1.34664
\(76\) 2.42907e8 4.20728e8i 0.835179 1.44657i
\(77\) −1.47821e8 2.56033e8i −0.479211 0.830017i
\(78\) 5.01305e7 0.153347
\(79\) −5.78269e7 1.00159e8i −0.167035 0.289314i 0.770341 0.637632i \(-0.220086\pi\)
−0.937376 + 0.348319i \(0.886753\pi\)
\(80\) −4.91083e7 + 8.50580e7i −0.134045 + 0.232172i
\(81\) 1.67023e8 2.89292e8i 0.431116 0.746714i
\(82\) −6.81837e7 −0.166540
\(83\) −1.99146e8 + 3.44931e8i −0.460596 + 0.797776i −0.998991 0.0449170i \(-0.985698\pi\)
0.538395 + 0.842693i \(0.319031\pi\)
\(84\) −4.26176e8 −0.933968
\(85\) 3.88153e7 0.0806526
\(86\) 2.10821e7 + 4.20410e7i 0.0415595 + 0.0828762i
\(87\) 1.10941e9 2.07614
\(88\) 1.53954e8 0.273665
\(89\) 2.72020e7 4.71152e7i 0.0459564 0.0795987i −0.842132 0.539271i \(-0.818700\pi\)
0.888089 + 0.459672i \(0.152033\pi\)
\(90\) 1.78275e7 0.0286418
\(91\) −2.40095e8 + 4.15857e8i −0.367026 + 0.635708i
\(92\) −6.65666e8 + 1.15297e9i −0.968749 + 1.67792i
\(93\) 6.59618e8 + 1.14249e9i 0.914365 + 1.58373i
\(94\) −9.14214e7 −0.120774
\(95\) −1.84025e8 3.18741e8i −0.231804 0.401497i
\(96\) 1.66687e8 2.88710e8i 0.200300 0.346930i
\(97\) −1.64409e9 −1.88561 −0.942804 0.333347i \(-0.891822\pi\)
−0.942804 + 0.333347i \(0.891822\pi\)
\(98\) 2.46310e7 4.26621e7i 0.0269752 0.0467224i
\(99\) 7.95274e8 + 1.37746e9i 0.832067 + 1.44118i
\(100\) −4.58170e8 7.93573e8i −0.458170 0.793573i
\(101\) 4.22842e8 + 7.32383e8i 0.404326 + 0.700313i 0.994243 0.107151i \(-0.0341728\pi\)
−0.589917 + 0.807464i \(0.700839\pi\)
\(102\) −4.32824e7 −0.0395923
\(103\) 2.98571e8 + 5.17140e8i 0.261385 + 0.452732i 0.966610 0.256251i \(-0.0824875\pi\)
−0.705225 + 0.708983i \(0.749154\pi\)
\(104\) −1.25029e8 2.16556e8i −0.104800 0.181518i
\(105\) −1.61434e8 + 2.79612e8i −0.129612 + 0.224494i
\(106\) −1.70545e7 + 2.95392e7i −0.0131209 + 0.0227260i
\(107\) −1.37700e9 −1.01556 −0.507782 0.861485i \(-0.669535\pi\)
−0.507782 + 0.861485i \(0.669535\pi\)
\(108\) 2.50602e8 0.177247
\(109\) 4.63494e8 8.02795e8i 0.314503 0.544735i −0.664829 0.746996i \(-0.731495\pi\)
0.979332 + 0.202261i \(0.0648288\pi\)
\(110\) 2.90329e7 5.02864e7i 0.0189070 0.0327479i
\(111\) 2.30399e8 + 3.99062e8i 0.144054 + 0.249509i
\(112\) 5.24534e8 + 9.08520e8i 0.314987 + 0.545573i
\(113\) 2.49872e9 1.44167 0.720833 0.693109i \(-0.243760\pi\)
0.720833 + 0.693109i \(0.243760\pi\)
\(114\) 2.05204e8 + 3.55423e8i 0.113792 + 0.197094i
\(115\) 5.04305e8 + 8.73482e8i 0.268877 + 0.465708i
\(116\) −1.37751e9 2.38591e9i −0.706371 1.22347i
\(117\) 1.29171e9 2.23731e9i 0.637278 1.10380i
\(118\) −1.05231e8 −0.0499661
\(119\) 2.07297e8 3.59049e8i 0.0947614 0.164131i
\(120\) −8.40665e7 1.45607e8i −0.0370090 0.0641014i
\(121\) 2.82260e9 1.19706
\(122\) −7.38350e7 1.27886e8i −0.0301747 0.0522641i
\(123\) −3.32175e9 + 5.75344e9i −1.30856 + 2.26649i
\(124\) 1.63803e9 2.83716e9i 0.622193 1.07767i
\(125\) −1.44530e9 −0.529495
\(126\) 9.52096e7 1.64908e8i 0.0336522 0.0582873i
\(127\) −3.78555e9 −1.29126 −0.645628 0.763652i \(-0.723404\pi\)
−0.645628 + 0.763652i \(0.723404\pi\)
\(128\) −1.10220e9 −0.362923
\(129\) 4.57455e9 + 2.69200e8i 1.45444 + 0.0855897i
\(130\) −9.43123e7 −0.0289617
\(131\) −3.58114e9 −1.06243 −0.531216 0.847237i \(-0.678265\pi\)
−0.531216 + 0.847237i \(0.678265\pi\)
\(132\) 3.73396e9 6.46741e9i 1.07050 1.85416i
\(133\) −3.93121e9 −1.08942
\(134\) −6.66245e7 + 1.15397e8i −0.0178510 + 0.0309188i
\(135\) 9.49275e7 1.64419e8i 0.0245974 0.0426040i
\(136\) 1.07949e8 + 1.86974e8i 0.0270579 + 0.0468657i
\(137\) 6.10056e9 1.47954 0.739771 0.672859i \(-0.234934\pi\)
0.739771 + 0.672859i \(0.234934\pi\)
\(138\) −5.62343e8 9.74007e8i −0.131991 0.228616i
\(139\) −2.08146e9 + 3.60519e9i −0.472935 + 0.819147i −0.999520 0.0309753i \(-0.990139\pi\)
0.526585 + 0.850122i \(0.323472\pi\)
\(140\) 8.01780e8 0.176392
\(141\) −4.45384e9 + 7.71427e9i −0.948961 + 1.64365i
\(142\) −7.26513e7 1.25836e8i −0.0149950 0.0259721i
\(143\) −4.20721e9 7.28710e9i −0.841360 1.45728i
\(144\) −2.82199e9 4.88783e9i −0.546921 0.947295i
\(145\) −2.08718e9 −0.392107
\(146\) 1.67761e8 + 2.90571e8i 0.0305565 + 0.0529254i
\(147\) −2.39993e9 4.15680e9i −0.423907 0.734228i
\(148\) 5.72150e8 9.90992e8i 0.0980239 0.169782i
\(149\) 3.36419e9 5.82695e9i 0.559168 0.968507i −0.438398 0.898781i \(-0.644454\pi\)
0.997566 0.0697262i \(-0.0222126\pi\)
\(150\) 7.74108e8 0.124851
\(151\) 2.75354e9 0.431018 0.215509 0.976502i \(-0.430859\pi\)
0.215509 + 0.976502i \(0.430859\pi\)
\(152\) 1.02358e9 1.77290e9i 0.155535 0.269394i
\(153\) −1.11526e9 + 1.93168e9i −0.164537 + 0.284986i
\(154\) −3.10105e8 5.37118e8i −0.0444290 0.0769532i
\(155\) −1.24096e9 2.14941e9i −0.172690 0.299108i
\(156\) −1.21296e10 −1.63979
\(157\) 2.39539e9 + 4.14893e9i 0.314649 + 0.544989i 0.979363 0.202110i \(-0.0647797\pi\)
−0.664713 + 0.747098i \(0.731446\pi\)
\(158\) −1.21312e8 2.10119e8i −0.0154863 0.0268231i
\(159\) 1.66171e9 + 2.87817e9i 0.206190 + 0.357132i
\(160\) −3.13594e8 + 5.43161e8i −0.0378293 + 0.0655223i
\(161\) 1.07731e10 1.26365
\(162\) 3.50390e8 6.06892e8i 0.0399699 0.0692300i
\(163\) 2.95276e9 + 5.11434e9i 0.327631 + 0.567473i 0.982041 0.188667i \(-0.0604165\pi\)
−0.654411 + 0.756139i \(0.727083\pi\)
\(164\) 1.64978e10 1.78086
\(165\) −2.82883e9 4.89967e9i −0.297118 0.514623i
\(166\) −4.17779e8 + 7.23614e8i −0.0427032 + 0.0739640i
\(167\) −7.72856e8 + 1.33863e9i −0.0768908 + 0.133179i −0.901907 0.431930i \(-0.857833\pi\)
0.825016 + 0.565109i \(0.191166\pi\)
\(168\) −1.79586e9 −0.173932
\(169\) −1.53124e9 + 2.65218e9i −0.144395 + 0.250099i
\(170\) 8.14288e7 0.00747753
\(171\) 2.11499e10 1.89159
\(172\) −5.10105e9 1.01723e10i −0.444408 0.886219i
\(173\) 3.70899e9 0.314810 0.157405 0.987534i \(-0.449687\pi\)
0.157405 + 0.987534i \(0.449687\pi\)
\(174\) 2.32739e9 0.192485
\(175\) −3.70751e9 + 6.42160e9i −0.298821 + 0.517573i
\(176\) −1.83829e10 −1.44413
\(177\) −5.12662e9 + 8.87957e9i −0.392601 + 0.680005i
\(178\) 5.70657e7 9.88407e7i 0.00426074 0.00737982i
\(179\) 9.61112e9 + 1.66469e10i 0.699738 + 1.21198i 0.968557 + 0.248790i \(0.0800330\pi\)
−0.268820 + 0.963190i \(0.586634\pi\)
\(180\) −4.31358e9 −0.306275
\(181\) −1.07709e10 1.86558e10i −0.745932 1.29199i −0.949758 0.312985i \(-0.898671\pi\)
0.203826 0.979007i \(-0.434662\pi\)
\(182\) −5.03683e8 + 8.72405e8i −0.0340280 + 0.0589382i
\(183\) −1.43883e10 −0.948373
\(184\) −2.80504e9 + 4.85848e9i −0.180410 + 0.312479i
\(185\) −4.33457e8 7.50770e8i −0.0272066 0.0471232i
\(186\) 1.38378e9 + 2.39678e9i 0.0847733 + 0.146832i
\(187\) 3.63248e9 + 6.29164e9i 0.217228 + 0.376250i
\(188\) 2.21205e10 1.29147
\(189\) −1.01394e9 1.75619e9i −0.0578007 0.100114i
\(190\) −3.86058e8 6.68671e8i −0.0214912 0.0372239i
\(191\) −7.37604e9 + 1.27757e10i −0.401026 + 0.694598i −0.993850 0.110734i \(-0.964680\pi\)
0.592824 + 0.805332i \(0.298013\pi\)
\(192\) −1.30150e10 + 2.25426e10i −0.691174 + 1.19715i
\(193\) 2.34774e10 1.21799 0.608993 0.793176i \(-0.291574\pi\)
0.608993 + 0.793176i \(0.291574\pi\)
\(194\) −3.44905e9 −0.174820
\(195\) −4.59468e9 + 7.95821e9i −0.227562 + 0.394148i
\(196\) −5.95975e9 + 1.03226e10i −0.288453 + 0.499616i
\(197\) 3.78640e8 + 6.55824e8i 0.0179114 + 0.0310234i 0.874842 0.484408i \(-0.160965\pi\)
−0.856931 + 0.515431i \(0.827632\pi\)
\(198\) 1.66837e9 + 2.88970e9i 0.0771433 + 0.133616i
\(199\) 8.97673e9 0.405769 0.202885 0.979203i \(-0.434968\pi\)
0.202885 + 0.979203i \(0.434968\pi\)
\(200\) −1.93068e9 3.34403e9i −0.0853247 0.147787i
\(201\) 6.49158e9 + 1.12437e10i 0.280523 + 0.485880i
\(202\) 8.87059e8 + 1.53643e9i 0.0374862 + 0.0649280i
\(203\) −1.11468e10 + 1.93068e10i −0.460699 + 0.797955i
\(204\) 1.04727e10 0.423372
\(205\) 6.24933e9 1.08242e10i 0.247139 0.428057i
\(206\) 6.26358e8 + 1.08488e9i 0.0242337 + 0.0419740i
\(207\) −5.79595e10 −2.19411
\(208\) 1.49291e10 + 2.58579e10i 0.553029 + 0.957874i
\(209\) 3.44435e10 5.96579e10i 1.24867 2.16277i
\(210\) −3.38665e8 + 5.86585e8i −0.0120166 + 0.0208134i
\(211\) 2.66918e10 0.927058 0.463529 0.886082i \(-0.346583\pi\)
0.463529 + 0.886082i \(0.346583\pi\)
\(212\) 4.12653e9 7.14736e9i 0.140305 0.243016i
\(213\) −1.41576e10 −0.471283
\(214\) −2.88874e9 −0.0941558
\(215\) −8.60627e9 5.06456e8i −0.274689 0.0161647i
\(216\) 1.05601e9 0.0330086
\(217\) −2.65099e10 −0.811596
\(218\) 9.72341e8 1.68414e9i 0.0291585 0.0505039i
\(219\) 3.26917e10 0.960372
\(220\) −7.02484e9 + 1.21674e10i −0.202178 + 0.350183i
\(221\) 5.90000e9 1.02191e10i 0.166374 0.288169i
\(222\) 4.83342e8 + 8.37173e8i 0.0133557 + 0.0231327i
\(223\) 3.78351e10 1.02453 0.512263 0.858828i \(-0.328807\pi\)
0.512263 + 0.858828i \(0.328807\pi\)
\(224\) 3.34956e9 + 5.80160e9i 0.0888938 + 0.153969i
\(225\) 1.99464e10 3.45482e10i 0.518852 0.898678i
\(226\) 5.24194e9 0.133661
\(227\) 7.85919e9 1.36125e10i 0.196454 0.340269i −0.750922 0.660391i \(-0.770391\pi\)
0.947376 + 0.320122i \(0.103724\pi\)
\(228\) −4.96514e10 8.59988e10i −1.21682 2.10759i
\(229\) −3.61632e9 6.26364e9i −0.0868974 0.150511i 0.819301 0.573364i \(-0.194362\pi\)
−0.906198 + 0.422853i \(0.861029\pi\)
\(230\) 1.05796e9 + 1.83244e9i 0.0249283 + 0.0431771i
\(231\) −6.04304e10 −1.39637
\(232\) −5.80466e9 1.00540e10i −0.131547 0.227846i
\(233\) 1.83960e10 + 3.18629e10i 0.408905 + 0.708244i 0.994767 0.102166i \(-0.0325774\pi\)
−0.585862 + 0.810411i \(0.699244\pi\)
\(234\) 2.70982e9 4.69354e9i 0.0590838 0.102336i
\(235\) 8.37917e9 1.45132e10i 0.179224 0.310425i
\(236\) 2.54619e10 0.534302
\(237\) −2.36402e10 −0.486725
\(238\) 4.34878e8 7.53230e8i 0.00878559 0.0152171i
\(239\) 2.45119e10 4.24558e10i 0.485943 0.841679i −0.513926 0.857835i \(-0.671809\pi\)
0.999869 + 0.0161557i \(0.00514275\pi\)
\(240\) 1.00380e10 + 1.73863e10i 0.195297 + 0.338264i
\(241\) −3.49049e10 6.04570e10i −0.666514 1.15444i −0.978872 0.204472i \(-0.934452\pi\)
0.312358 0.949964i \(-0.398881\pi\)
\(242\) 5.92139e9 0.110983
\(243\) −3.89991e10 6.75484e10i −0.717507 1.24276i
\(244\) 1.78652e10 + 3.09435e10i 0.322667 + 0.558875i
\(245\) 4.51507e9 + 7.82034e9i 0.0800603 + 0.138669i
\(246\) −6.96853e9 + 1.20699e10i −0.121320 + 0.210133i
\(247\) −1.11889e11 −1.91271
\(248\) 6.90249e9 1.19555e10i 0.115871 0.200694i
\(249\) 4.07064e10 + 7.05056e10i 0.671067 + 1.16232i
\(250\) −3.03202e9 −0.0490910
\(251\) −1.71416e10 2.96902e10i −0.272596 0.472151i 0.696929 0.717140i \(-0.254549\pi\)
−0.969526 + 0.244989i \(0.921216\pi\)
\(252\) −2.30370e10 + 3.99013e10i −0.359852 + 0.623283i
\(253\) −9.43895e10 + 1.63487e11i −1.44838 + 2.50866i
\(254\) −7.94152e9 −0.119716
\(255\) 3.96702e9 6.87108e9i 0.0587535 0.101764i
\(256\) 6.28884e10 0.915147
\(257\) −1.41797e10 −0.202754 −0.101377 0.994848i \(-0.532325\pi\)
−0.101377 + 0.994848i \(0.532325\pi\)
\(258\) 9.59672e9 + 5.64742e8i 0.134845 + 0.00793526i
\(259\) −9.25967e9 −0.127864
\(260\) 2.28199e10 0.309695
\(261\) 5.99697e10 1.03871e11i 0.799926 1.38551i
\(262\) −7.51270e9 −0.0985010
\(263\) 1.16737e10 2.02195e10i 0.150455 0.260596i −0.780940 0.624607i \(-0.785259\pi\)
0.931395 + 0.364010i \(0.118593\pi\)
\(264\) 1.57345e10 2.72530e10i 0.199359 0.345299i
\(265\) −3.12624e9 5.41480e9i −0.0389417 0.0674491i
\(266\) −8.24710e9 −0.101003
\(267\) −5.56022e9 9.63058e9i −0.0669562 0.115972i
\(268\) 1.61206e10 2.79216e10i 0.190886 0.330624i
\(269\) −2.33180e10 −0.271522 −0.135761 0.990742i \(-0.543348\pi\)
−0.135761 + 0.990742i \(0.543348\pi\)
\(270\) 1.99144e8 3.44927e8i 0.00228050 0.00394994i
\(271\) 2.75236e10 + 4.76723e10i 0.309987 + 0.536913i 0.978359 0.206914i \(-0.0663420\pi\)
−0.668372 + 0.743827i \(0.733009\pi\)
\(272\) −1.28897e10 2.23256e10i −0.142785 0.247311i
\(273\) 4.90766e10 + 8.50031e10i 0.534739 + 0.926196i
\(274\) 1.27981e10 0.137172
\(275\) −6.49671e10 1.12526e11i −0.685009 1.18647i
\(276\) 1.36065e11 + 2.35672e11i 1.41142 + 2.44465i
\(277\) 4.92249e10 8.52601e10i 0.502373 0.870136i −0.497623 0.867393i \(-0.665794\pi\)
0.999996 0.00274229i \(-0.000872901\pi\)
\(278\) −4.36659e9 + 7.56316e9i −0.0438471 + 0.0759454i
\(279\) 1.42623e11 1.40920
\(280\) 3.37861e9 0.0328494
\(281\) 1.08836e10 1.88509e10i 0.104134 0.180365i −0.809250 0.587464i \(-0.800126\pi\)
0.913384 + 0.407099i \(0.133460\pi\)
\(282\) −9.34349e9 + 1.61834e10i −0.0879808 + 0.152387i
\(283\) −1.53008e9 2.65018e9i −0.0141800 0.0245604i 0.858848 0.512230i \(-0.171180\pi\)
−0.873028 + 0.487670i \(0.837847\pi\)
\(284\) 1.75788e10 + 3.04474e10i 0.160346 + 0.277727i
\(285\) −7.52313e10 −0.675455
\(286\) −8.82610e9 1.52872e10i −0.0780048 0.135108i
\(287\) −6.67502e10 1.15615e11i −0.580743 1.00588i
\(288\) −1.80206e10 3.12126e10i −0.154349 0.267340i
\(289\) 5.41999e10 9.38770e10i 0.457044 0.791624i
\(290\) −4.37860e9 −0.0363533
\(291\) −1.68029e11 + 2.91036e11i −1.37362 + 2.37918i
\(292\) −4.05917e10 7.03069e10i −0.326749 0.565946i
\(293\) −1.06330e10 −0.0842855 −0.0421427 0.999112i \(-0.513418\pi\)
−0.0421427 + 0.999112i \(0.513418\pi\)
\(294\) −5.03469e9 8.72034e9i −0.0393016 0.0680723i
\(295\) 9.64490e9 1.67055e10i 0.0741479 0.128428i
\(296\) 2.41098e9 4.17593e9i 0.0182549 0.0316185i
\(297\) 3.55347e10 0.265001
\(298\) 7.05757e9 1.22241e10i 0.0518420 0.0897930i
\(299\) 3.06621e11 2.21861
\(300\) −1.87304e11 −1.33506
\(301\) −5.06474e10 + 7.69047e10i −0.355638 + 0.540012i
\(302\) 5.77653e9 0.0399609
\(303\) 1.72862e11 1.17817
\(304\) −1.22221e11 + 2.11693e11i −0.820759 + 1.42160i
\(305\) 2.70692e10 0.179113
\(306\) −2.33964e9 + 4.05238e9i −0.0152547 + 0.0264219i
\(307\) −1.34034e11 + 2.32153e11i −0.861175 + 1.49160i 0.00962040 + 0.999954i \(0.496938\pi\)
−0.870796 + 0.491645i \(0.836396\pi\)
\(308\) 7.50335e10 + 1.29962e11i 0.475091 + 0.822883i
\(309\) 1.22059e11 0.761650
\(310\) −2.60336e9 4.50915e9i −0.0160106 0.0277311i
\(311\) 6.08213e10 1.05346e11i 0.368667 0.638549i −0.620691 0.784056i \(-0.713148\pi\)
0.989357 + 0.145506i \(0.0464811\pi\)
\(312\) −5.11130e10 −0.305376
\(313\) −1.53204e11 + 2.65358e11i −0.902238 + 1.56272i −0.0776563 + 0.996980i \(0.524744\pi\)
−0.824582 + 0.565742i \(0.808590\pi\)
\(314\) 5.02516e9 + 8.70384e9i 0.0291720 + 0.0505274i
\(315\) 1.74527e10 + 3.02290e10i 0.0998772 + 0.172992i
\(316\) 2.93529e10 + 5.08407e10i 0.165599 + 0.286827i
\(317\) 8.56329e10 0.476293 0.238146 0.971229i \(-0.423460\pi\)
0.238146 + 0.971229i \(0.423460\pi\)
\(318\) 3.48602e9 + 6.03796e9i 0.0191165 + 0.0331107i
\(319\) −1.95326e11 3.38315e11i −1.05609 1.82921i
\(320\) 2.44856e10 4.24102e10i 0.130537 0.226097i
\(321\) −1.40733e11 + 2.43756e11i −0.739815 + 1.28140i
\(322\) 2.26005e10 0.117156
\(323\) 9.66041e10 0.493838
\(324\) −8.47808e10 + 1.46845e11i −0.427410 + 0.740296i
\(325\) −1.05522e11 + 1.82769e11i −0.524646 + 0.908714i
\(326\) 6.19446e9 + 1.07291e10i 0.0303755 + 0.0526120i
\(327\) −9.47404e10 1.64095e11i −0.458216 0.793654i
\(328\) 6.95200e10 0.331648
\(329\) −8.94994e10 1.55018e11i −0.421152 0.729456i
\(330\) −5.93446e9 1.02788e10i −0.0275466 0.0477122i
\(331\) −1.09373e11 1.89439e11i −0.500822 0.867449i −1.00000 0.000949478i \(-0.999698\pi\)
0.499178 0.866500i \(-0.333636\pi\)
\(332\) 1.01086e11 1.75087e11i 0.456637 0.790918i
\(333\) 4.98170e10 0.222013
\(334\) −1.62134e9 + 2.80824e9i −0.00712876 + 0.0123474i
\(335\) −1.22129e10 2.11533e10i −0.0529804 0.0917648i
\(336\) 2.14435e11 0.917842
\(337\) −5.99690e10 1.03869e11i −0.253275 0.438685i 0.711150 0.703040i \(-0.248174\pi\)
−0.964426 + 0.264354i \(0.914841\pi\)
\(338\) −3.21231e9 + 5.56388e9i −0.0133873 + 0.0231874i
\(339\) 2.55375e11 4.42323e11i 1.05022 1.81903i
\(340\) −1.97026e10 −0.0799593
\(341\) 2.32268e11 4.02300e11i 0.930240 1.61122i
\(342\) 4.43694e10 0.175374
\(343\) 2.62205e11 1.02286
\(344\) −2.14953e10 4.28649e10i −0.0827619 0.165040i
\(345\) 2.06165e11 0.783481
\(346\) 7.78091e9 0.0291869
\(347\) 4.84899e10 8.39870e10i 0.179543 0.310978i −0.762181 0.647364i \(-0.775871\pi\)
0.941724 + 0.336386i \(0.109205\pi\)
\(348\) −5.63138e11 −2.05830
\(349\) −2.08617e11 + 3.61336e11i −0.752724 + 1.30376i 0.193773 + 0.981046i \(0.437927\pi\)
−0.946498 + 0.322711i \(0.895406\pi\)
\(350\) −7.77781e9 + 1.34716e10i −0.0277045 + 0.0479857i
\(351\) −2.88583e10 4.99840e10i −0.101482 0.175772i
\(352\) −1.17389e11 −0.407555
\(353\) −1.74442e11 3.02143e11i −0.597951 1.03568i −0.993123 0.117074i \(-0.962649\pi\)
0.395173 0.918607i \(-0.370685\pi\)
\(354\) −1.07549e10 + 1.86280e10i −0.0363991 + 0.0630452i
\(355\) 2.66352e10 0.0890080
\(356\) −1.38077e10 + 2.39156e10i −0.0455613 + 0.0789145i
\(357\) −4.23725e10 7.33912e10i −0.138063 0.239132i
\(358\) 2.01627e10 + 3.49228e10i 0.0648746 + 0.112366i
\(359\) 1.64719e11 + 2.85301e11i 0.523381 + 0.906522i 0.999630 + 0.0272118i \(0.00866285\pi\)
−0.476249 + 0.879311i \(0.658004\pi\)
\(360\) −1.81769e10 −0.0570374
\(361\) −2.96660e11 5.13831e11i −0.919342 1.59235i
\(362\) −2.25958e10 3.91371e10i −0.0691575 0.119784i
\(363\) 2.88476e11 4.99656e11i 0.872028 1.51040i
\(364\) 1.21872e11 2.11088e11i 0.363871 0.630243i
\(365\) −6.15042e10 −0.181379
\(366\) −3.01845e10 −0.0879263
\(367\) −2.45259e11 + 4.24802e11i −0.705714 + 1.22233i 0.260720 + 0.965414i \(0.416040\pi\)
−0.966433 + 0.256917i \(0.917293\pi\)
\(368\) 3.34936e11 5.80127e11i 0.952023 1.64895i
\(369\) 3.59116e11 + 6.22007e11i 1.00836 + 1.74653i
\(370\) −9.09329e8 1.57500e9i −0.00252240 0.00436892i
\(371\) −6.67838e10 −0.183016
\(372\) −3.34822e11 5.79928e11i −0.906505 1.57011i
\(373\) 1.53612e11 + 2.66064e11i 0.410899 + 0.711698i 0.994988 0.0999914i \(-0.0318815\pi\)
−0.584089 + 0.811689i \(0.698548\pi\)
\(374\) 7.62041e9 + 1.31989e10i 0.0201398 + 0.0348832i
\(375\) −1.47713e11 + 2.55846e11i −0.385725 + 0.668095i
\(376\) 9.32132e10 0.240509
\(377\) −3.17255e11 + 5.49503e11i −0.808859 + 1.40099i
\(378\) −2.12709e9 3.68423e9i −0.00535886 0.00928182i
\(379\) −2.19420e11 −0.546261 −0.273131 0.961977i \(-0.588059\pi\)
−0.273131 + 0.961977i \(0.588059\pi\)
\(380\) 9.34110e10 + 1.61793e11i 0.229812 + 0.398045i
\(381\) −3.86892e11 + 6.70117e11i −0.940649 + 1.62925i
\(382\) −1.54738e10 + 2.68014e10i −0.0371803 + 0.0643981i
\(383\) −6.85500e10 −0.162785 −0.0813923 0.996682i \(-0.525937\pi\)
−0.0813923 + 0.996682i \(0.525937\pi\)
\(384\) −1.12647e11 + 1.95111e11i −0.264381 + 0.457921i
\(385\) 1.13690e11 0.263724
\(386\) 4.92521e10 0.112923
\(387\) 2.72483e11 4.13747e11i 0.617504 0.937639i
\(388\) 8.34536e11 1.86940
\(389\) 1.10820e11 0.245383 0.122692 0.992445i \(-0.460847\pi\)
0.122692 + 0.992445i \(0.460847\pi\)
\(390\) −9.63895e9 + 1.66951e10i −0.0210979 + 0.0365426i
\(391\) −2.64735e11 −0.572817
\(392\) −2.51137e10 + 4.34982e10i −0.0537185 + 0.0930432i
\(393\) −3.66001e11 + 6.33933e11i −0.773956 + 1.34053i
\(394\) 7.94331e8 + 1.37582e9i 0.00166061 + 0.00287627i
\(395\) 4.44752e10 0.0919244
\(396\) −4.03680e11 6.99195e11i −0.824915 1.42880i
\(397\) 1.47821e11 2.56034e11i 0.298662 0.517298i −0.677168 0.735828i \(-0.736793\pi\)
0.975830 + 0.218531i \(0.0701264\pi\)
\(398\) 1.88318e10 0.0376200
\(399\) −4.01779e11 + 6.95902e11i −0.793615 + 1.37458i
\(400\) 2.30533e11 + 3.99294e11i 0.450259 + 0.779872i
\(401\) −8.29182e10 1.43618e11i −0.160140 0.277371i 0.774779 0.632233i \(-0.217861\pi\)
−0.934919 + 0.354862i \(0.884528\pi\)
\(402\) 1.36184e10 + 2.35877e10i 0.0260081 + 0.0450473i
\(403\) −7.54515e11 −1.42494
\(404\) −2.14634e11 3.71757e11i −0.400851 0.694294i
\(405\) 6.42294e10 + 1.11249e11i 0.118628 + 0.205469i
\(406\) −2.33843e10 + 4.05028e10i −0.0427127 + 0.0739806i
\(407\) 8.11291e10 1.40520e11i 0.146555 0.253841i
\(408\) 4.41307e10 0.0788443
\(409\) 9.27923e11 1.63967 0.819836 0.572599i \(-0.194065\pi\)
0.819836 + 0.572599i \(0.194065\pi\)
\(410\) 1.31102e10 2.27075e10i 0.0229129 0.0396864i
\(411\) 6.23492e11 1.07992e12i 1.07781 1.86682i
\(412\) −1.51554e11 2.62500e11i −0.259138 0.448840i
\(413\) −1.03019e11 1.78434e11i −0.174238 0.301788i
\(414\) −1.21590e11 −0.203422
\(415\) −7.65825e10 1.32645e11i −0.126740 0.219520i
\(416\) 9.53337e10 + 1.65123e11i 0.156073 + 0.270326i
\(417\) 4.25460e11 + 7.36918e11i 0.689043 + 1.19346i
\(418\) 7.22574e10 1.25153e11i 0.115768 0.200516i
\(419\) 4.97140e11 0.787981 0.393991 0.919114i \(-0.371094\pi\)
0.393991 + 0.919114i \(0.371094\pi\)
\(420\) 8.19438e10 1.41931e11i 0.128497 0.222564i
\(421\) 4.50371e11 + 7.80065e11i 0.698716 + 1.21021i 0.968912 + 0.247407i \(0.0795783\pi\)
−0.270196 + 0.962805i \(0.587088\pi\)
\(422\) 5.59954e10 0.0859501
\(423\) 4.81507e11 + 8.33994e11i 0.731258 + 1.26658i
\(424\) 1.73887e10 3.01182e10i 0.0261289 0.0452567i
\(425\) 9.11069e10 1.57802e11i 0.135457 0.234618i
\(426\) −2.97006e10 −0.0436940
\(427\) 1.44566e11 2.50395e11i 0.210445 0.364502i
\(428\) 6.98965e11 1.00684
\(429\) −1.71995e12 −2.45164
\(430\) −1.80547e10 1.06247e9i −0.0254672 0.00149868i
\(431\) −2.31786e11 −0.323549 −0.161775 0.986828i \(-0.551722\pi\)
−0.161775 + 0.986828i \(0.551722\pi\)
\(432\) −1.26093e11 −0.174186
\(433\) 2.65136e11 4.59228e11i 0.362470 0.627817i −0.625896 0.779906i \(-0.715267\pi\)
0.988367 + 0.152089i \(0.0486000\pi\)
\(434\) −5.56139e10 −0.0752453
\(435\) −2.13315e11 + 3.69473e11i −0.285641 + 0.494744i
\(436\) −2.35269e11 + 4.07498e11i −0.311800 + 0.540053i
\(437\) 1.25512e12 + 2.17393e12i 1.64634 + 2.85154i
\(438\) 6.85824e10 0.0890387
\(439\) −5.44892e9 9.43780e9i −0.00700197 0.0121278i 0.862503 0.506052i \(-0.168895\pi\)
−0.869505 + 0.493924i \(0.835562\pi\)
\(440\) −2.96019e10 + 5.12720e10i −0.0376515 + 0.0652143i
\(441\) −5.18915e11 −0.653315
\(442\) 1.23773e10 2.14381e10i 0.0154250 0.0267170i
\(443\) −2.48498e11 4.30412e11i −0.306554 0.530966i 0.671052 0.741410i \(-0.265843\pi\)
−0.977606 + 0.210443i \(0.932509\pi\)
\(444\) −1.16950e11 2.02564e11i −0.142816 0.247365i
\(445\) 1.04606e10 + 1.81184e10i 0.0126456 + 0.0219028i
\(446\) 7.93725e10 0.0949867
\(447\) −6.87656e11 1.19106e12i −0.814681 1.41107i
\(448\) −2.61535e11 4.52991e11i −0.306745 0.531299i
\(449\) −6.95008e11 + 1.20379e12i −0.807015 + 1.39779i 0.107908 + 0.994161i \(0.465585\pi\)
−0.914922 + 0.403630i \(0.867748\pi\)
\(450\) 4.18446e10 7.24770e10i 0.0481042 0.0833189i
\(451\) 2.33934e12 2.66256
\(452\) −1.26835e12 −1.42927
\(453\) 2.81419e11 4.87432e11i 0.313987 0.543841i
\(454\) 1.64874e10 2.85570e10i 0.0182138 0.0315473i
\(455\) −9.23295e10 1.59919e11i −0.100993 0.174924i
\(456\) −2.09226e11 3.62389e11i −0.226607 0.392495i
\(457\) 1.18196e12 1.26759 0.633797 0.773499i \(-0.281495\pi\)
0.633797 + 0.773499i \(0.281495\pi\)
\(458\) −7.58649e9 1.31402e10i −0.00805650 0.0139543i
\(459\) 2.49161e10 + 4.31560e10i 0.0262013 + 0.0453820i
\(460\) −2.55985e11 4.43379e11i −0.266565 0.461705i
\(461\) −2.54171e11 + 4.40236e11i −0.262102 + 0.453975i −0.966800 0.255533i \(-0.917749\pi\)
0.704698 + 0.709507i \(0.251083\pi\)
\(462\) −1.26774e11 −0.129462
\(463\) −8.36324e11 + 1.44855e12i −0.845785 + 1.46494i 0.0391530 + 0.999233i \(0.487534\pi\)
−0.884938 + 0.465709i \(0.845799\pi\)
\(464\) 6.93106e11 + 1.20050e12i 0.694175 + 1.20235i
\(465\) −5.07318e11 −0.503202
\(466\) 3.85921e10 + 6.68435e10i 0.0379107 + 0.0656633i
\(467\) −1.85505e11 + 3.21303e11i −0.180480 + 0.312600i −0.942044 0.335489i \(-0.891098\pi\)
0.761564 + 0.648089i \(0.224432\pi\)
\(468\) −6.55671e11 + 1.13566e12i −0.631800 + 1.09431i
\(469\) −2.60895e11 −0.248994
\(470\) 1.75783e10 3.04464e10i 0.0166163 0.0287803i
\(471\) 9.79257e11 0.916859
\(472\) 1.07294e11 0.0995028
\(473\) −7.23314e11 1.44240e12i −0.664434 1.32498i
\(474\) −4.95936e10 −0.0451256
\(475\) −1.72777e12 −1.55727
\(476\) −1.05224e11 + 1.82253e11i −0.0939468 + 0.162721i
\(477\) 3.59297e11 0.317776
\(478\) 5.14222e10 8.90659e10i 0.0450532 0.0780344i
\(479\) 6.71825e11 1.16363e12i 0.583104 1.00997i −0.412005 0.911182i \(-0.635171\pi\)
0.995109 0.0987844i \(-0.0314954\pi\)
\(480\) 6.41002e10 + 1.11025e11i 0.0551155 + 0.0954628i
\(481\) −2.63545e11 −0.224493
\(482\) −7.32253e10 1.26830e11i −0.0617944 0.107031i
\(483\) 1.10104e12 1.90706e12i 0.920538 1.59442i
\(484\) −1.43275e12 −1.18677
\(485\) 3.16120e11 5.47536e11i 0.259426 0.449340i
\(486\) −8.18143e10 1.41706e11i −0.0665221 0.115220i
\(487\) −9.02452e11 1.56309e12i −0.727015 1.25923i −0.958139 0.286303i \(-0.907574\pi\)
0.231124 0.972924i \(-0.425760\pi\)
\(488\) 7.52821e10 + 1.30392e11i 0.0600901 + 0.104079i
\(489\) 1.20712e12 0.954684
\(490\) 9.47195e9 + 1.64059e10i 0.00742262 + 0.0128563i
\(491\) −4.43915e11 7.68883e11i −0.344693 0.597026i 0.640605 0.767871i \(-0.278684\pi\)
−0.985298 + 0.170845i \(0.945350\pi\)
\(492\) 1.68612e12 2.92044e12i 1.29731 2.24701i
\(493\) 2.73917e11 4.74438e11i 0.208837 0.361716i
\(494\) −2.34726e11 −0.177333
\(495\) −6.11652e11 −0.457911
\(496\) −8.24192e11 + 1.42754e12i −0.611450 + 1.05906i
\(497\) 1.42248e11 2.46381e11i 0.104578 0.181135i
\(498\) 8.53960e10 + 1.47910e11i 0.0622165 + 0.107762i
\(499\) −7.54681e11 1.30715e12i −0.544893 0.943782i −0.998614 0.0526378i \(-0.983237\pi\)
0.453721 0.891144i \(-0.350096\pi\)
\(500\) 7.33631e11 0.524944
\(501\) 1.57975e11 + 2.73622e11i 0.112026 + 0.194035i
\(502\) −3.59606e10 6.22855e10i −0.0252732 0.0437744i
\(503\) 1.63681e11 + 2.83504e11i 0.114010 + 0.197471i 0.917383 0.398004i \(-0.130297\pi\)
−0.803374 + 0.595475i \(0.796964\pi\)
\(504\) −9.70756e10 + 1.68140e11i −0.0670151 + 0.116074i
\(505\) −3.25211e11 −0.222512
\(506\) −1.98015e11 + 3.42972e11i −0.134283 + 0.232585i
\(507\) 3.12992e11 + 5.42118e11i 0.210377 + 0.364383i
\(508\) 1.92154e12 1.28016
\(509\) −7.28055e11 1.26103e12i −0.480766 0.832712i 0.518990 0.854780i \(-0.326308\pi\)
−0.999756 + 0.0220686i \(0.992975\pi\)
\(510\) 8.32222e9 1.44145e10i 0.00544720 0.00943483i
\(511\) −3.28468e11 + 5.68924e11i −0.213108 + 0.369114i
\(512\) 6.96256e11 0.447769
\(513\) 2.36257e11 4.09209e11i 0.150611 0.260865i
\(514\) −2.97469e10 −0.0187979
\(515\) −2.29634e11 −0.143848
\(516\) −2.32204e12 1.36646e11i −1.44193 0.0848540i
\(517\) 3.13662e12 1.93087
\(518\) −1.94254e10 −0.0118546
\(519\) 3.79068e11 6.56565e11i 0.229332 0.397214i
\(520\) 9.61608e10 0.0576744
\(521\) −1.19940e12 + 2.07742e12i −0.713171 + 1.23525i 0.250490 + 0.968119i \(0.419408\pi\)
−0.963661 + 0.267128i \(0.913925\pi\)
\(522\) 1.25808e11 2.17905e11i 0.0741634 0.128455i
\(523\) 8.07674e10 + 1.39893e11i 0.0472040 + 0.0817597i 0.888662 0.458563i \(-0.151636\pi\)
−0.841458 + 0.540322i \(0.818302\pi\)
\(524\) 1.81778e12 1.05330
\(525\) 7.57833e11 + 1.31261e12i 0.435368 + 0.754080i
\(526\) 2.44897e10 4.24174e10i 0.0139491 0.0241606i
\(527\) 6.51445e11 0.367900
\(528\) −1.87878e12 + 3.25414e12i −1.05202 + 1.82215i
\(529\) −2.53897e12 4.39763e12i −1.40964 2.44156i
\(530\) −6.55838e9 1.13594e10i −0.00361040 0.00625339i
\(531\) 5.54242e11 + 9.59975e11i 0.302534 + 0.524004i
\(532\) 1.99548e12 1.08005
\(533\) −1.89982e12 3.29058e12i −1.01962 1.76604i
\(534\) −1.16645e10 2.02035e10i −0.00620770 0.0107520i
\(535\) 2.64766e11 4.58588e11i 0.139724 0.242009i
\(536\) 6.79303e10 1.17659e11i 0.0355485 0.0615719i
\(537\) 3.92912e12 2.03897
\(538\) −4.89176e10 −0.0251736
\(539\) −8.45074e11 + 1.46371e12i −0.431266 + 0.746975i
\(540\) −4.81851e10 + 8.34590e10i −0.0243860 + 0.0422378i
\(541\) 1.65773e12 + 2.87126e12i 0.832003 + 1.44107i 0.896447 + 0.443150i \(0.146139\pi\)
−0.0644445 + 0.997921i \(0.520528\pi\)
\(542\) 5.77404e10 + 1.00009e11i 0.0287398 + 0.0497787i
\(543\) −4.40326e12 −2.17358
\(544\) −8.23107e10 1.42566e11i −0.0402959 0.0697946i
\(545\) 1.78239e11 + 3.08718e11i 0.0865401 + 0.149892i
\(546\) 1.02955e11 + 1.78324e11i 0.0495772 + 0.0858702i
\(547\) −1.99119e12 + 3.44884e12i −0.950975 + 1.64714i −0.207653 + 0.978203i \(0.566582\pi\)
−0.743322 + 0.668934i \(0.766751\pi\)
\(548\) −3.09664e12 −1.46682
\(549\) −7.77762e11 + 1.34712e12i −0.365402 + 0.632896i
\(550\) −1.36291e11 2.36063e11i −0.0635091 0.110001i
\(551\) −5.19461e12 −2.40088
\(552\) 5.73364e11 + 9.93096e11i 0.262848 + 0.455266i
\(553\) 2.37524e11 4.11403e11i 0.108005 0.187070i
\(554\) 1.03267e11 1.78863e11i 0.0465764 0.0806727i
\(555\) −1.77202e11 −0.0792773
\(556\) 1.05655e12 1.82999e12i 0.468869 0.812106i
\(557\) 2.56276e12 1.12813 0.564066 0.825729i \(-0.309236\pi\)
0.564066 + 0.825729i \(0.309236\pi\)
\(558\) 2.99203e11 0.130651
\(559\) −1.44151e12 + 2.18883e12i −0.624400 + 0.948111i
\(560\) −4.03424e11 −0.173347
\(561\) 1.48499e12 0.632983
\(562\) 2.28321e10 3.95463e10i 0.00965455 0.0167222i
\(563\) −9.94302e11 −0.417091 −0.208545 0.978013i \(-0.566873\pi\)
−0.208545 + 0.978013i \(0.566873\pi\)
\(564\) 2.26076e12 3.91576e12i 0.940804 1.62952i
\(565\) −4.80447e11 + 8.32158e11i −0.198348 + 0.343548i
\(566\) −3.20988e9 5.55968e9i −0.00131467 0.00227707i
\(567\) 1.37209e12 0.557519
\(568\) 7.40752e10 + 1.28302e11i 0.0298611 + 0.0517209i
\(569\) −1.71881e12 + 2.97707e12i −0.687423 + 1.19065i 0.285246 + 0.958454i \(0.407925\pi\)
−0.972669 + 0.232196i \(0.925409\pi\)
\(570\) −1.57824e11 −0.0626233
\(571\) 8.29269e11 1.43634e12i 0.326462 0.565449i −0.655345 0.755330i \(-0.727477\pi\)
0.981807 + 0.189881i \(0.0608101\pi\)
\(572\) 2.13557e12 + 3.69892e12i 0.834128 + 1.44475i
\(573\) 1.50770e12 + 2.61141e12i 0.584276 + 1.01200i
\(574\) −1.40032e11 2.42542e11i −0.0538423 0.0932576i
\(575\) 4.73480e12 1.80633
\(576\) 1.40706e12 + 2.43709e12i 0.532611 + 0.922509i
\(577\) 2.52722e11 + 4.37728e11i 0.0949188 + 0.164404i 0.909575 0.415540i \(-0.136408\pi\)
−0.814656 + 0.579945i \(0.803074\pi\)
\(578\) 1.13703e11 1.96940e11i 0.0423738 0.0733937i
\(579\) 2.39945e12 4.15596e12i 0.887273 1.53680i
\(580\) 1.05945e12 0.388737
\(581\) −1.63598e12 −0.595643
\(582\) −3.52501e11 + 6.10549e11i −0.127352 + 0.220581i
\(583\) 5.85129e11 1.01347e12i 0.209770 0.363332i
\(584\) −1.71049e11 2.96266e11i −0.0608503 0.105396i
\(585\) 4.96733e11 + 8.60367e11i 0.175356 + 0.303726i
\(586\) −2.23065e10 −0.00781434
\(587\) −9.58705e11 1.66053e12i −0.333283 0.577263i 0.649870 0.760045i \(-0.274823\pi\)
−0.983154 + 0.182782i \(0.941490\pi\)
\(588\) 1.21820e12 + 2.10999e12i 0.420263 + 0.727916i
\(589\) −3.08853e12 5.34949e12i −1.05738 1.83144i
\(590\) 2.02336e10 3.50456e10i 0.00687446 0.0119069i
\(591\) 1.54792e11 0.0521920
\(592\) −2.87883e11 + 4.98628e11i −0.0963314 + 0.166851i
\(593\) 1.84934e12 + 3.20316e12i 0.614146 + 1.06373i 0.990534 + 0.137269i \(0.0438325\pi\)
−0.376388 + 0.926462i \(0.622834\pi\)
\(594\) 7.45464e10 0.0245690
\(595\) 7.97169e10 + 1.38074e11i 0.0260750 + 0.0451632i
\(596\) −1.70766e12 + 2.95775e12i −0.554361 + 0.960182i
\(597\) 9.17443e11 1.58906e12i 0.295593 0.511983i
\(598\) 6.43245e11 0.205694
\(599\) 1.01096e11 1.75104e11i 0.0320860 0.0555745i −0.849537 0.527530i \(-0.823118\pi\)
0.881622 + 0.471955i \(0.156452\pi\)
\(600\) −7.89279e11 −0.248628
\(601\) −1.84901e12 −0.578101 −0.289050 0.957314i \(-0.593340\pi\)
−0.289050 + 0.957314i \(0.593340\pi\)
\(602\) −1.06251e11 + 1.61335e11i −0.0329722 + 0.0500661i
\(603\) 1.40362e12 0.432335
\(604\) −1.39770e12 −0.427313
\(605\) −5.42721e11 + 9.40021e11i −0.164694 + 0.285258i
\(606\) 3.62638e11 0.109231
\(607\) −4.20263e11 + 7.27916e11i −0.125653 + 0.217637i −0.921988 0.387219i \(-0.873436\pi\)
0.796335 + 0.604856i \(0.206769\pi\)
\(608\) −7.80477e11 + 1.35183e12i −0.231630 + 0.401194i
\(609\) 2.27846e12 + 3.94640e12i 0.671217 + 1.16258i
\(610\) 5.67872e10 0.0166060
\(611\) −2.54730e12 4.41205e12i −0.739425 1.28072i
\(612\) 5.66103e11 9.80520e11i 0.163123 0.282537i
\(613\) 4.18815e11 0.119798 0.0598991 0.998204i \(-0.480922\pi\)
0.0598991 + 0.998204i \(0.480922\pi\)
\(614\) −2.81183e11 + 4.87023e11i −0.0798420 + 0.138290i
\(615\) −1.27739e12 2.21251e12i −0.360069 0.623659i
\(616\) 3.16183e11 + 5.47645e11i 0.0884760 + 0.153245i
\(617\) 3.34860e11 + 5.79994e11i 0.0930208 + 0.161117i 0.908781 0.417274i \(-0.137014\pi\)
−0.815760 + 0.578390i \(0.803681\pi\)
\(618\) 2.56061e11 0.0706147
\(619\) 4.03888e11 + 6.99554e11i 0.110574 + 0.191520i 0.916002 0.401174i \(-0.131398\pi\)
−0.805428 + 0.592694i \(0.798064\pi\)
\(620\) 6.29912e11 + 1.09104e12i 0.171205 + 0.296537i
\(621\) −6.47441e11 + 1.12140e12i −0.174698 + 0.302586i
\(622\) 1.27594e11 2.20999e11i 0.0341801 0.0592017i
\(623\) 2.23464e11 0.0594308
\(624\) 6.10315e12 1.61147
\(625\) −1.48504e12 + 2.57216e12i −0.389293 + 0.674275i
\(626\) −3.21400e11 + 5.56681e11i −0.0836490 + 0.144884i
\(627\) −7.04042e12 1.21944e13i −1.81926 3.15105i
\(628\) −1.21590e12 2.10599e12i −0.311945 0.540304i
\(629\) 2.27544e11 0.0579611
\(630\) 3.66133e10 + 6.34160e10i 0.00925989 + 0.0160386i
\(631\) 3.84731e11 + 6.66374e11i 0.0966107 + 0.167335i 0.910280 0.413994i \(-0.135866\pi\)
−0.813669 + 0.581328i \(0.802533\pi\)
\(632\) 1.23690e11 + 2.14237e11i 0.0308395 + 0.0534156i
\(633\) 2.72797e12 4.72498e12i 0.675340 1.16972i
\(634\) 1.79645e11 0.0441584
\(635\) 7.27875e11 1.26072e12i 0.177654 0.307706i
\(636\) −8.43482e11 1.46095e12i −0.204418 0.354062i
\(637\) 2.74520e12 0.660611
\(638\) −4.09766e11 7.09735e11i −0.0979134 0.169591i
\(639\) −7.65293e11 + 1.32553e12i −0.181583 + 0.314510i
\(640\) 2.11927e11 3.67069e11i 0.0499318 0.0864844i
\(641\) −1.48332e12 −0.347035 −0.173517 0.984831i \(-0.555513\pi\)
−0.173517 + 0.984831i \(0.555513\pi\)
\(642\) −2.95237e11 + 5.11365e11i −0.0685903 + 0.118802i
\(643\) 1.00954e12 0.232904 0.116452 0.993196i \(-0.462848\pi\)
0.116452 + 0.993196i \(0.462848\pi\)
\(644\) −5.46844e12 −1.25279
\(645\) −9.69234e11 + 1.47172e12i −0.220501 + 0.334816i
\(646\) 2.02661e11 0.0457851
\(647\) −6.67837e12 −1.49831 −0.749154 0.662396i \(-0.769540\pi\)
−0.749154 + 0.662396i \(0.769540\pi\)
\(648\) −3.57257e11 + 6.18787e11i −0.0795963 + 0.137865i
\(649\) 3.61042e12 0.798835
\(650\) −2.21369e11 + 3.83422e11i −0.0486414 + 0.0842494i
\(651\) −2.70938e12 + 4.69278e12i −0.591228 + 1.02404i
\(652\) −1.49882e12 2.59603e12i −0.324814 0.562595i
\(653\) −3.96154e12 −0.852620 −0.426310 0.904577i \(-0.640187\pi\)
−0.426310 + 0.904577i \(0.640187\pi\)
\(654\) −1.98751e11 3.44247e11i −0.0424825 0.0735818i
\(655\) 6.88572e11 1.19264e12i 0.146172 0.253177i
\(656\) −8.30104e12 −1.75011
\(657\) 1.76716e12 3.06081e12i 0.370026 0.640903i
\(658\) −1.87756e11 3.25204e11i −0.0390462 0.0676299i
\(659\) 2.25747e12 + 3.91006e12i 0.466271 + 0.807605i 0.999258 0.0385184i \(-0.0122638\pi\)
−0.532987 + 0.846124i \(0.678930\pi\)
\(660\) 1.43591e12 + 2.48707e12i 0.294564 + 0.510200i
\(661\) −2.96967e12 −0.605064 −0.302532 0.953139i \(-0.597832\pi\)
−0.302532 + 0.953139i \(0.597832\pi\)
\(662\) −2.29448e11 3.97415e11i −0.0464326 0.0804236i
\(663\) −1.20599e12 2.08883e12i −0.242400 0.419849i
\(664\) 4.25967e11 7.37796e11i 0.0850392 0.147292i
\(665\) 7.55883e11 1.30923e12i 0.149885 0.259608i
\(666\) 1.04509e11 0.0205835
\(667\) 1.42354e13 2.78485
\(668\) 3.92301e11 6.79485e11i 0.0762299 0.132034i
\(669\) 3.86684e12 6.69756e12i 0.746343 1.29270i
\(670\) −2.56207e10 4.43764e10i −0.00491196 0.00850777i
\(671\) 2.53324e12 + 4.38769e12i 0.482419 + 0.835574i
\(672\) 1.36933e12 0.259028
\(673\) −1.26587e12 2.19255e12i −0.237859 0.411984i 0.722241 0.691642i \(-0.243112\pi\)
−0.960100 + 0.279658i \(0.909779\pi\)
\(674\) −1.25806e11 2.17903e11i −0.0234818 0.0406717i
\(675\) −4.45625e11 7.71846e11i −0.0826234 0.143108i
\(676\) 7.77254e11 1.34624e12i 0.143154 0.247950i
\(677\) 8.15281e12 1.49162 0.745810 0.666159i \(-0.232063\pi\)
0.745810 + 0.666159i \(0.232063\pi\)
\(678\) 5.35739e11 9.27927e11i 0.0973687 0.168648i
\(679\) −3.37653e12 5.84833e12i −0.609617 1.05589i
\(680\) −8.30247e10 −0.0148908
\(681\) −1.60646e12 2.78246e12i −0.286224 0.495755i
\(682\) 4.87264e11 8.43966e11i 0.0862451 0.149381i
\(683\) −2.01766e11 + 3.49468e11i −0.0354776 + 0.0614490i −0.883219 0.468961i \(-0.844629\pi\)
0.847741 + 0.530410i \(0.177962\pi\)
\(684\) −1.07357e13 −1.87533
\(685\) −1.17300e12 + 2.03169e12i −0.203559 + 0.352574i
\(686\) 5.50067e11 0.0948324
\(687\) −1.47838e12 −0.253211
\(688\) 2.56665e12 + 5.11829e12i 0.436735 + 0.870918i
\(689\) −1.90077e12 −0.321324
\(690\) 4.32503e11 0.0726387
\(691\) 3.73112e12 6.46250e12i 0.622571 1.07832i −0.366435 0.930444i \(-0.619422\pi\)
0.989005 0.147880i \(-0.0472450\pi\)
\(692\) −1.88268e12 −0.312104
\(693\) −3.26658e12 + 5.65789e12i −0.538015 + 0.931869i
\(694\) 1.01725e11 1.76192e11i 0.0166459 0.0288316i
\(695\) −8.00434e11 1.38639e12i −0.130135 0.225400i
\(696\) −2.37300e12 −0.383316
\(697\) 1.64029e12 + 2.84107e12i 0.263253 + 0.455968i
\(698\) −4.37648e11 + 7.58029e11i −0.0697872 + 0.120875i
\(699\) 7.52047e12 1.19151
\(700\) 1.88193e12 3.25960e12i 0.296253 0.513124i
\(701\) 5.87178e12 + 1.01702e13i 0.918414 + 1.59074i 0.801825 + 0.597559i \(0.203863\pi\)
0.116589 + 0.993180i \(0.462804\pi\)
\(702\) −6.05404e10 1.04859e11i −0.00940867 0.0162963i
\(703\) −1.07879e12 1.86853e12i −0.166586 0.288536i
\(704\) 9.16579e12 1.40635
\(705\) −1.71274e12 2.96656e12i −0.261121 0.452274i
\(706\) −3.65954e11 6.33850e11i −0.0554377 0.0960209i
\(707\) −1.73682e12 + 3.00826e12i −0.261437 + 0.452823i
\(708\) 2.60227e12 4.50726e12i 0.389226 0.674160i
\(709\) −4.28865e12 −0.637401 −0.318701 0.947855i \(-0.603246\pi\)
−0.318701 + 0.947855i \(0.603246\pi\)
\(710\) 5.58768e10 0.00825218
\(711\) −1.27788e12 + 2.21335e12i −0.187532 + 0.324815i
\(712\) −5.81841e10 + 1.00778e11i −0.00848486 + 0.0146962i
\(713\) 8.46384e12 + 1.46598e13i 1.22649 + 2.12435i
\(714\) −8.88911e10 1.53964e11i −0.0128002 0.0221706i
\(715\) 3.23580e12 0.463025
\(716\) −4.87859e12 8.44997e12i −0.693723 1.20156i
\(717\) −5.01034e12 8.67817e12i −0.707997 1.22629i
\(718\) 3.45555e11 + 5.98519e11i 0.0485241 + 0.0840462i
\(719\) 3.19600e12 5.53563e12i 0.445991 0.772480i −0.552129 0.833758i \(-0.686185\pi\)
0.998121 + 0.0612788i \(0.0195179\pi\)
\(720\) 2.17042e12 0.300987
\(721\) −1.22638e12 + 2.12415e12i −0.169011 + 0.292736i
\(722\) −6.22349e11 1.07794e12i −0.0852348 0.147631i
\(723\) −1.42695e13 −1.94216
\(724\) 5.46731e12 + 9.46966e12i 0.739521 + 1.28089i
\(725\) −4.89901e12 + 8.48534e12i −0.658548 + 1.14064i
\(726\) 6.05181e11 1.04820e12i 0.0808482 0.140033i
\(727\) −2.07077e11 −0.0274934 −0.0137467 0.999906i \(-0.504376\pi\)
−0.0137467 + 0.999906i \(0.504376\pi\)
\(728\) 5.13555e11 8.89504e11i 0.0677635 0.117370i
\(729\) −9.36816e12 −1.22852
\(730\) −1.29027e11 −0.0168161
\(731\) 1.24459e12 1.88983e12i 0.161212 0.244790i
\(732\) 7.30348e12 0.940221
\(733\) −5.40052e12 −0.690983 −0.345492 0.938422i \(-0.612288\pi\)
−0.345492 + 0.938422i \(0.612288\pi\)
\(734\) −5.14518e11 + 8.91171e11i −0.0654287 + 0.113326i
\(735\) 1.84580e12 0.233288
\(736\) 2.13883e12 3.70456e12i 0.268674 0.465357i
\(737\) 2.28585e12 3.95920e12i 0.285393 0.494315i
\(738\) 7.53372e11 + 1.30488e12i 0.0934880 + 0.161926i
\(739\) 5.83514e12 0.719700 0.359850 0.933010i \(-0.382828\pi\)
0.359850 + 0.933010i \(0.382828\pi\)
\(740\) 2.20023e11 + 3.81090e11i 0.0269727 + 0.0467181i
\(741\) −1.14353e13 + 1.98065e13i −1.39337 + 2.41338i
\(742\) −1.40102e11 −0.0169679
\(743\) −2.13078e12 + 3.69061e12i −0.256500 + 0.444272i −0.965302 0.261136i \(-0.915903\pi\)
0.708802 + 0.705408i \(0.249236\pi\)
\(744\) −1.41090e12 2.44375e12i −0.168818 0.292401i
\(745\) 1.29371e12 + 2.24078e12i 0.153863 + 0.266499i
\(746\) 3.22255e11 + 5.58162e11i 0.0380956 + 0.0659835i
\(747\) 8.80158e12 1.03423
\(748\) −1.84384e12 3.19363e12i −0.215361 0.373016i
\(749\) −2.82801e12 4.89826e12i −0.328332 0.568688i
\(750\) −3.09879e11 + 5.36727e11i −0.0357616 + 0.0619409i
\(751\) −4.55149e12 + 7.88341e12i −0.522124 + 0.904345i 0.477545 + 0.878607i \(0.341527\pi\)
−0.999669 + 0.0257377i \(0.991807\pi\)
\(752\) −1.11301e13 −1.26917
\(753\) −7.00766e12 −0.794320
\(754\) −6.65555e11 + 1.15277e12i −0.0749916 + 0.129889i
\(755\) −5.29444e11 + 9.17023e11i −0.0593005 + 0.102711i
\(756\) 5.14674e11 + 8.91441e11i 0.0573039 + 0.0992532i
\(757\) 7.98896e12 + 1.38373e13i 0.884217 + 1.53151i 0.846608 + 0.532216i \(0.178641\pi\)
0.0376087 + 0.999293i \(0.488026\pi\)
\(758\) −4.60311e11 −0.0506454
\(759\) 1.92937e13 + 3.34176e13i 2.11021 + 3.65500i
\(760\) 3.93624e11 + 6.81777e11i 0.0427977 + 0.0741278i
\(761\) 2.53345e12 + 4.38807e12i 0.273830 + 0.474288i 0.969839 0.243745i \(-0.0783760\pi\)
−0.696009 + 0.718033i \(0.745043\pi\)
\(762\) −8.11643e11 + 1.40581e12i −0.0872102 + 0.151053i
\(763\) 3.80760e12