Properties

Label 43.10.c.a.6.10
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 6.10
Character \(\chi\) \(=\) 43.6
Dual form 43.10.c.a.36.10

$q$-expansion

\(f(q)\) \(=\) \(q-25.2231 q^{2} +(-62.6577 + 108.526i) q^{3} +124.205 q^{4} +(1186.15 - 2054.47i) q^{5} +(1580.42 - 2737.37i) q^{6} +(1704.14 + 2951.66i) q^{7} +9781.39 q^{8} +(1989.53 + 3445.96i) q^{9} +O(q^{10})\) \(q-25.2231 q^{2} +(-62.6577 + 108.526i) q^{3} +124.205 q^{4} +(1186.15 - 2054.47i) q^{5} +(1580.42 - 2737.37i) q^{6} +(1704.14 + 2951.66i) q^{7} +9781.39 q^{8} +(1989.53 + 3445.96i) q^{9} +(-29918.4 + 51820.2i) q^{10} -93392.8 q^{11} +(-7782.41 + 13479.5i) q^{12} +(-12909.2 - 22359.4i) q^{13} +(-42983.7 - 74449.9i) q^{14} +(148643. + 257457. i) q^{15} -310310. q^{16} +(312220. + 540781. i) q^{17} +(-50182.1 - 86917.9i) q^{18} +(120008. - 207860. i) q^{19} +(147326. - 255176. i) q^{20} -427110. q^{21} +2.35566e6 q^{22} +(1.04238e6 - 1.80546e6i) q^{23} +(-612879. + 1.06154e6i) q^{24} +(-1.83735e6 - 3.18238e6i) q^{25} +(325610. + 563974. i) q^{26} -2.96522e6 q^{27} +(211663. + 366611. i) q^{28} +(975944. + 1.69039e6i) q^{29} +(-3.74924e6 - 6.49387e6i) q^{30} +(147505. - 255487. i) q^{31} +2.81892e6 q^{32} +(5.85178e6 - 1.01356e7i) q^{33} +(-7.87517e6 - 1.36402e7i) q^{34} +8.08547e6 q^{35} +(247110. + 428007. i) q^{36} +(1.49862e6 - 2.59569e6i) q^{37} +(-3.02698e6 + 5.24289e6i) q^{38} +3.23545e6 q^{39} +(1.16022e7 - 2.00956e7i) q^{40} -1.70390e7 q^{41} +1.07730e7 q^{42} +(-1.68242e7 - 1.48168e7i) q^{43} -1.15999e7 q^{44} +9.43953e6 q^{45} +(-2.62921e7 + 4.55392e7i) q^{46} +2.92066e7 q^{47} +(1.94433e7 - 3.36768e7i) q^{48} +(1.43686e7 - 2.48872e7i) q^{49} +(4.63436e7 + 8.02695e7i) q^{50} -7.82520e7 q^{51} +(-1.60339e6 - 2.77716e6i) q^{52} +(4.36055e7 - 7.55270e7i) q^{53} +7.47921e7 q^{54} +(-1.10778e8 + 1.91873e8i) q^{55} +(1.66688e7 + 2.88713e7i) q^{56} +(1.50389e7 + 2.60481e7i) q^{57} +(-2.46164e7 - 4.26368e7i) q^{58} -8.12593e7 q^{59} +(1.84622e7 + 3.19775e7i) q^{60} +(-1.93975e7 - 3.35974e7i) q^{61} +(-3.72055e6 + 6.44417e6i) q^{62} +(-6.78087e6 + 1.17448e7i) q^{63} +8.77770e7 q^{64} -6.12491e7 q^{65} +(-1.47600e8 + 2.55651e8i) q^{66} +(1.31644e8 - 2.28014e8i) q^{67} +(3.87794e7 + 6.71679e7i) q^{68} +(1.30626e8 + 2.26251e8i) q^{69} -2.03941e8 q^{70} +(-6.08133e7 - 1.05332e8i) q^{71} +(1.94604e7 + 3.37063e7i) q^{72} +(-1.08595e8 - 1.88092e8i) q^{73} +(-3.77999e7 + 6.54713e7i) q^{74} +4.60496e8 q^{75} +(1.49057e7 - 2.58174e7i) q^{76} +(-1.59154e8 - 2.75663e8i) q^{77} -8.16080e7 q^{78} +(-2.06742e8 - 3.58088e8i) q^{79} +(-3.68075e8 + 6.37524e8i) q^{80} +(1.46634e8 - 2.53977e8i) q^{81} +4.29776e8 q^{82} +(-7.11550e7 + 1.23244e8i) q^{83} -5.30493e7 q^{84} +1.48136e9 q^{85} +(4.24359e8 + 3.73727e8i) q^{86} -2.44602e8 q^{87} -9.13512e8 q^{88} +(-2.01154e7 + 3.48410e7i) q^{89} -2.38094e8 q^{90} +(4.39982e7 - 7.62071e7i) q^{91} +(1.29469e8 - 2.24247e8i) q^{92} +(1.84847e7 + 3.20164e7i) q^{93} -7.36681e8 q^{94} +(-2.84696e8 - 4.93108e8i) q^{95} +(-1.76627e8 + 3.05926e8i) q^{96} +1.95291e8 q^{97} +(-3.62421e8 + 6.27732e8i) q^{98} +(-1.85808e8 - 3.21828e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} + O(q^{10}) \) \( 64q - 70q^{2} + 307q^{3} + 16038q^{4} + 681q^{5} - 1281q^{6} + 957q^{7} - 10920q^{8} - 255339q^{9} - 6237q^{10} - 180682q^{11} + 274344q^{12} + 115245q^{13} - 171208q^{14} + 138833q^{15} + 4289206q^{16} + 65180q^{17} + 603985q^{18} + 39150q^{19} - 2709775q^{20} - 3105162q^{21} + 598456q^{22} + 1285907q^{23} - 292550q^{24} - 14709917q^{25} + 5332695q^{26} - 20118002q^{27} - 5475298q^{28} + 1274091q^{29} + 28424751q^{30} + 2899781q^{31} - 16322030q^{32} + 30668912q^{33} + 6822099q^{34} - 14750922q^{35} - 113819232q^{36} - 13772217q^{37} + 2700532q^{38} + 49876982q^{39} - 55802359q^{40} + 5375394q^{41} - 62768266q^{42} - 4250879q^{43} - 125171958q^{44} + 74719384q^{45} - 91405220q^{46} + 46104596q^{47} + 294588191q^{48} - 233221733q^{49} + 380339342q^{50} + 229598406q^{51} + 166281612q^{52} + 125396641q^{53} - 137752484q^{54} + 139471854q^{55} + 41104589q^{56} - 289586721q^{57} - 183782516q^{58} - 637949078q^{59} - 70735747q^{60} - 95573327q^{61} + 181277053q^{62} + 226632970q^{63} + 712599660q^{64} - 498753718q^{65} - 349240445q^{66} - 276270786q^{67} + 1034771928q^{68} - 199705103q^{69} + 1780847990q^{70} + 651945247q^{71} - 270063054q^{72} - 182725322q^{73} - 193737672q^{74} - 3155252572q^{75} + 492133584q^{76} + 216024528q^{77} + 2562586420q^{78} - 376932221q^{79} - 783129021q^{80} - 2146956496q^{81} + 2373824428q^{82} + 1008544071q^{83} - 9413139208q^{84} - 1131353054q^{85} - 1641459050q^{86} + 5060470018q^{87} + 369936980q^{88} + 2244184366q^{89} + 3302428348q^{90} + 3951711q^{91} + 4361095637q^{92} + 3133616089q^{93} + 3002217406q^{94} + 1515822931q^{95} + 69408612q^{96} - 6951085934q^{97} + 1120193981q^{98} + 1264470179q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −25.2231 −1.11471 −0.557357 0.830273i \(-0.688185\pi\)
−0.557357 + 0.830273i \(0.688185\pi\)
\(3\) −62.6577 + 108.526i −0.446610 + 0.773552i −0.998163 0.0605884i \(-0.980702\pi\)
0.551553 + 0.834140i \(0.314036\pi\)
\(4\) 124.205 0.242588
\(5\) 1186.15 2054.47i 0.848741 1.47006i −0.0335918 0.999436i \(-0.510695\pi\)
0.882333 0.470626i \(-0.155972\pi\)
\(6\) 1580.42 2737.37i 0.497843 0.862289i
\(7\) 1704.14 + 2951.66i 0.268265 + 0.464648i 0.968414 0.249348i \(-0.0802164\pi\)
−0.700149 + 0.713997i \(0.746883\pi\)
\(8\) 9781.39 0.844298
\(9\) 1989.53 + 3445.96i 0.101079 + 0.175073i
\(10\) −29918.4 + 51820.2i −0.946104 + 1.63870i
\(11\) −93392.8 −1.92330 −0.961649 0.274284i \(-0.911559\pi\)
−0.961649 + 0.274284i \(0.911559\pi\)
\(12\) −7782.41 + 13479.5i −0.108342 + 0.187655i
\(13\) −12909.2 22359.4i −0.125359 0.217128i 0.796514 0.604620i \(-0.206675\pi\)
−0.921873 + 0.387492i \(0.873342\pi\)
\(14\) −42983.7 74449.9i −0.299039 0.517950i
\(15\) 148643. + 257457.i 0.758113 + 1.31309i
\(16\) −310310. −1.18374
\(17\) 312220. + 540781.i 0.906653 + 1.57037i 0.818683 + 0.574245i \(0.194704\pi\)
0.0879693 + 0.996123i \(0.471962\pi\)
\(18\) −50182.1 86917.9i −0.112674 0.195157i
\(19\) 120008. 207860.i 0.211261 0.365915i −0.740848 0.671672i \(-0.765576\pi\)
0.952110 + 0.305757i \(0.0989096\pi\)
\(20\) 147326. 255176.i 0.205895 0.356620i
\(21\) −427110. −0.479239
\(22\) 2.35566e6 2.14393
\(23\) 1.04238e6 1.80546e6i 0.776696 1.34528i −0.157140 0.987576i \(-0.550227\pi\)
0.933836 0.357701i \(-0.116439\pi\)
\(24\) −612879. + 1.06154e6i −0.377072 + 0.653108i
\(25\) −1.83735e6 3.18238e6i −0.940722 1.62938i
\(26\) 325610. + 563974.i 0.139739 + 0.242035i
\(27\) −2.96522e6 −1.07379
\(28\) 211663. + 366611.i 0.0650779 + 0.112718i
\(29\) 975944. + 1.69039e6i 0.256232 + 0.443808i 0.965230 0.261404i \(-0.0841854\pi\)
−0.708997 + 0.705211i \(0.750852\pi\)
\(30\) −3.74924e6 6.49387e6i −0.845079 1.46372i
\(31\) 147505. 255487.i 0.0286867 0.0496868i −0.851326 0.524638i \(-0.824201\pi\)
0.880012 + 0.474951i \(0.157534\pi\)
\(32\) 2.81892e6 0.475234
\(33\) 5.85178e6 1.01356e7i 0.858964 1.48777i
\(34\) −7.87517e6 1.36402e7i −1.01066 1.75051i
\(35\) 8.08547e6 0.910749
\(36\) 247110. + 428007.i 0.0245205 + 0.0424707i
\(37\) 1.49862e6 2.59569e6i 0.131457 0.227690i −0.792781 0.609506i \(-0.791368\pi\)
0.924238 + 0.381816i \(0.124701\pi\)
\(38\) −3.02698e6 + 5.24289e6i −0.235496 + 0.407891i
\(39\) 3.23545e6 0.223946
\(40\) 1.16022e7 2.00956e7i 0.716590 1.24117i
\(41\) −1.70390e7 −0.941708 −0.470854 0.882211i \(-0.656054\pi\)
−0.470854 + 0.882211i \(0.656054\pi\)
\(42\) 1.07730e7 0.534215
\(43\) −1.68242e7 1.48168e7i −0.750458 0.660918i
\(44\) −1.15999e7 −0.466570
\(45\) 9.43953e6 0.343158
\(46\) −2.62921e7 + 4.55392e7i −0.865794 + 1.49960i
\(47\) 2.92066e7 0.873053 0.436527 0.899691i \(-0.356208\pi\)
0.436527 + 0.899691i \(0.356208\pi\)
\(48\) 1.94433e7 3.36768e7i 0.528670 0.915684i
\(49\) 1.43686e7 2.48872e7i 0.356068 0.616728i
\(50\) 4.63436e7 + 8.02695e7i 1.04864 + 1.81629i
\(51\) −7.82520e7 −1.61968
\(52\) −1.60339e6 2.77716e6i −0.0304106 0.0526727i
\(53\) 4.36055e7 7.55270e7i 0.759102 1.31480i −0.184207 0.982888i \(-0.558972\pi\)
0.943309 0.331916i \(-0.107695\pi\)
\(54\) 7.47921e7 1.19697
\(55\) −1.10778e8 + 1.91873e8i −1.63238 + 2.82737i
\(56\) 1.66688e7 + 2.88713e7i 0.226495 + 0.392302i
\(57\) 1.50389e7 + 2.60481e7i 0.188703 + 0.326843i
\(58\) −2.46164e7 4.26368e7i −0.285626 0.494719i
\(59\) −8.12593e7 −0.873050 −0.436525 0.899692i \(-0.643791\pi\)
−0.436525 + 0.899692i \(0.643791\pi\)
\(60\) 1.84622e7 + 3.19775e7i 0.183909 + 0.318540i
\(61\) −1.93975e7 3.35974e7i −0.179375 0.310686i 0.762292 0.647233i \(-0.224074\pi\)
−0.941667 + 0.336547i \(0.890741\pi\)
\(62\) −3.72055e6 + 6.44417e6i −0.0319775 + 0.0553866i
\(63\) −6.78087e6 + 1.17448e7i −0.0542316 + 0.0939319i
\(64\) 8.77770e7 0.653990
\(65\) −6.12491e7 −0.425588
\(66\) −1.47600e8 + 2.55651e8i −0.957500 + 1.65844i
\(67\) 1.31644e8 2.28014e8i 0.798114 1.38237i −0.122728 0.992440i \(-0.539164\pi\)
0.920843 0.389934i \(-0.127502\pi\)
\(68\) 3.87794e7 + 6.71679e7i 0.219943 + 0.380953i
\(69\) 1.30626e8 + 2.26251e8i 0.693761 + 1.20163i
\(70\) −2.03941e8 −1.01523
\(71\) −6.08133e7 1.05332e8i −0.284011 0.491922i 0.688358 0.725371i \(-0.258332\pi\)
−0.972369 + 0.233449i \(0.924999\pi\)
\(72\) 1.94604e7 + 3.37063e7i 0.0853404 + 0.147814i
\(73\) −1.08595e8 1.88092e8i −0.447565 0.775206i 0.550662 0.834728i \(-0.314375\pi\)
−0.998227 + 0.0595229i \(0.981042\pi\)
\(74\) −3.77999e7 + 6.54713e7i −0.146537 + 0.253810i
\(75\) 4.60496e8 1.68054
\(76\) 1.49057e7 2.58174e7i 0.0512495 0.0887668i
\(77\) −1.59154e8 2.75663e8i −0.515953 0.893657i
\(78\) −8.16080e7 −0.249636
\(79\) −2.06742e8 3.58088e8i −0.597182 1.03435i −0.993235 0.116122i \(-0.962954\pi\)
0.396053 0.918228i \(-0.370380\pi\)
\(80\) −3.68075e8 + 6.37524e8i −1.00469 + 1.74017i
\(81\) 1.46634e8 2.53977e8i 0.378488 0.655560i
\(82\) 4.29776e8 1.04974
\(83\) −7.11550e7 + 1.23244e8i −0.164571 + 0.285046i −0.936503 0.350660i \(-0.885957\pi\)
0.771932 + 0.635706i \(0.219291\pi\)
\(84\) −5.30493e7 −0.116258
\(85\) 1.48136e9 3.07805
\(86\) 4.24359e8 + 3.73727e8i 0.836546 + 0.736735i
\(87\) −2.44602e8 −0.457744
\(88\) −9.13512e8 −1.62384
\(89\) −2.01154e7 + 3.48410e7i −0.0339840 + 0.0588620i −0.882517 0.470280i \(-0.844153\pi\)
0.848533 + 0.529142i \(0.177486\pi\)
\(90\) −2.38094e8 −0.382523
\(91\) 4.39982e7 7.62071e7i 0.0672587 0.116495i
\(92\) 1.29469e8 2.24247e8i 0.188417 0.326349i
\(93\) 1.84847e7 + 3.20164e7i 0.0256235 + 0.0443813i
\(94\) −7.36681e8 −0.973205
\(95\) −2.84696e8 4.93108e8i −0.358612 0.621135i
\(96\) −1.76627e8 + 3.05926e8i −0.212244 + 0.367618i
\(97\) 1.95291e8 0.223980 0.111990 0.993709i \(-0.464278\pi\)
0.111990 + 0.993709i \(0.464278\pi\)
\(98\) −3.62421e8 + 6.27732e8i −0.396914 + 0.687475i
\(99\) −1.85808e8 3.21828e8i −0.194404 0.336718i
\(100\) −2.28208e8 3.95268e8i −0.228208 0.395268i
\(101\) −7.33837e8 1.27104e9i −0.701703 1.21539i −0.967868 0.251458i \(-0.919090\pi\)
0.266165 0.963928i \(-0.414243\pi\)
\(102\) 1.97376e9 1.80548
\(103\) 7.18726e8 + 1.24487e9i 0.629211 + 1.08982i 0.987710 + 0.156295i \(0.0499551\pi\)
−0.358500 + 0.933530i \(0.616712\pi\)
\(104\) −1.26270e8 2.18706e8i −0.105840 0.183320i
\(105\) −5.06617e8 + 8.77486e8i −0.406750 + 0.704512i
\(106\) −1.09987e9 + 1.90503e9i −0.846182 + 1.46563i
\(107\) −2.15298e9 −1.58786 −0.793930 0.608010i \(-0.791968\pi\)
−0.793930 + 0.608010i \(0.791968\pi\)
\(108\) −3.68296e8 −0.260489
\(109\) 7.86911e8 1.36297e9i 0.533957 0.924841i −0.465256 0.885176i \(-0.654038\pi\)
0.999213 0.0396647i \(-0.0126290\pi\)
\(110\) 2.79417e9 4.83964e9i 1.81964 3.15171i
\(111\) 1.87800e8 + 3.25280e8i 0.117420 + 0.203378i
\(112\) −5.28812e8 9.15929e8i −0.317556 0.550023i
\(113\) 2.00079e9 1.15438 0.577189 0.816611i \(-0.304150\pi\)
0.577189 + 0.816611i \(0.304150\pi\)
\(114\) −3.79327e8 6.57014e8i −0.210350 0.364337i
\(115\) −2.47284e9 4.28309e9i −1.31843 2.28358i
\(116\) 1.21217e8 + 2.09955e8i 0.0621590 + 0.107663i
\(117\) 5.13665e7 8.89694e7i 0.0253421 0.0438939i
\(118\) 2.04961e9 0.973202
\(119\) −1.06413e9 + 1.84313e9i −0.486446 + 0.842549i
\(120\) 1.45394e9 + 2.51829e9i 0.640073 + 1.10864i
\(121\) 6.36427e9 2.69907
\(122\) 4.89265e8 + 8.47431e8i 0.199951 + 0.346326i
\(123\) 1.06762e9 1.84918e9i 0.420576 0.728460i
\(124\) 1.83209e7 3.17328e7i 0.00695906 0.0120534i
\(125\) −4.08408e9 −1.49623
\(126\) 1.71035e8 2.96240e8i 0.0604528 0.104707i
\(127\) −1.61138e9 −0.549642 −0.274821 0.961495i \(-0.588619\pi\)
−0.274821 + 0.961495i \(0.588619\pi\)
\(128\) −3.65729e9 −1.20425
\(129\) 2.66218e9 8.97479e8i 0.846417 0.285345i
\(130\) 1.54489e9 0.474409
\(131\) −4.03385e9 −1.19674 −0.598369 0.801221i \(-0.704184\pi\)
−0.598369 + 0.801221i \(0.704184\pi\)
\(132\) 7.26822e8 1.25889e9i 0.208375 0.360916i
\(133\) 8.18043e8 0.226696
\(134\) −3.32048e9 + 5.75123e9i −0.889670 + 1.54095i
\(135\) −3.51720e9 + 6.09197e9i −0.911370 + 1.57854i
\(136\) 3.05395e9 + 5.28959e9i 0.765485 + 1.32586i
\(137\) −4.41945e9 −1.07183 −0.535915 0.844272i \(-0.680033\pi\)
−0.535915 + 0.844272i \(0.680033\pi\)
\(138\) −3.29480e9 5.70677e9i −0.773345 1.33947i
\(139\) −1.34981e9 + 2.33793e9i −0.306694 + 0.531209i −0.977637 0.210300i \(-0.932556\pi\)
0.670943 + 0.741509i \(0.265889\pi\)
\(140\) 1.00426e9 0.220937
\(141\) −1.83002e9 + 3.16968e9i −0.389915 + 0.675352i
\(142\) 1.53390e9 + 2.65679e9i 0.316592 + 0.548353i
\(143\) 1.20563e9 + 2.08821e9i 0.241102 + 0.417601i
\(144\) −6.17371e8 1.06932e9i −0.119651 0.207241i
\(145\) 4.63047e9 0.869900
\(146\) 2.73910e9 + 4.74426e9i 0.498907 + 0.864133i
\(147\) 1.80061e9 + 3.11875e9i 0.318047 + 0.550874i
\(148\) 1.86137e8 3.22398e8i 0.0318900 0.0552351i
\(149\) 2.96172e9 5.12985e9i 0.492272 0.852641i −0.507688 0.861541i \(-0.669500\pi\)
0.999960 + 0.00890010i \(0.00283303\pi\)
\(150\) −1.16151e10 −1.87333
\(151\) 6.33963e9 0.992356 0.496178 0.868221i \(-0.334736\pi\)
0.496178 + 0.868221i \(0.334736\pi\)
\(152\) 1.17385e9 2.03316e9i 0.178367 0.308941i
\(153\) −1.24234e9 + 2.15180e9i −0.183286 + 0.317461i
\(154\) 4.01437e9 + 6.95309e9i 0.575141 + 0.996173i
\(155\) −3.49928e8 6.06092e8i −0.0486951 0.0843424i
\(156\) 4.01859e8 0.0543267
\(157\) −1.17929e9 2.04258e9i −0.154907 0.268307i 0.778118 0.628118i \(-0.216174\pi\)
−0.933025 + 0.359811i \(0.882841\pi\)
\(158\) 5.21468e9 + 9.03208e9i 0.665687 + 1.15300i
\(159\) 5.46444e9 + 9.46470e9i 0.678046 + 1.17441i
\(160\) 3.34366e9 5.79139e9i 0.403350 0.698623i
\(161\) 7.10545e9 0.833441
\(162\) −3.69856e9 + 6.40610e9i −0.421906 + 0.730762i
\(163\) −1.94067e9 3.36134e9i −0.215332 0.372965i 0.738044 0.674753i \(-0.235750\pi\)
−0.953375 + 0.301788i \(0.902417\pi\)
\(164\) −2.11633e9 −0.228447
\(165\) −1.38822e10 2.40447e10i −1.45808 2.52546i
\(166\) 1.79475e9 3.10860e9i 0.183450 0.317745i
\(167\) −3.18267e9 + 5.51255e9i −0.316641 + 0.548439i −0.979785 0.200053i \(-0.935888\pi\)
0.663144 + 0.748492i \(0.269222\pi\)
\(168\) −4.17773e9 −0.404621
\(169\) 4.96895e9 8.60648e9i 0.468570 0.811588i
\(170\) −3.73645e10 −3.43115
\(171\) 9.55039e8 0.0854159
\(172\) −2.08965e9 1.84033e9i −0.182052 0.160331i
\(173\) 4.93412e9 0.418796 0.209398 0.977831i \(-0.432850\pi\)
0.209398 + 0.977831i \(0.432850\pi\)
\(174\) 6.16961e9 0.510254
\(175\) 6.26219e9 1.08464e10i 0.504725 0.874210i
\(176\) 2.89807e10 2.27668
\(177\) 5.09152e9 8.81878e9i 0.389913 0.675350i
\(178\) 5.07374e8 8.78798e8i 0.0378825 0.0656144i
\(179\) 6.54204e9 + 1.13311e10i 0.476293 + 0.824964i 0.999631 0.0271614i \(-0.00864679\pi\)
−0.523338 + 0.852125i \(0.675313\pi\)
\(180\) 1.17244e9 0.0832461
\(181\) 3.04355e8 + 5.27158e8i 0.0210779 + 0.0365080i 0.876372 0.481635i \(-0.159957\pi\)
−0.855294 + 0.518143i \(0.826624\pi\)
\(182\) −1.10977e9 + 1.92218e9i −0.0749742 + 0.129859i
\(183\) 4.86160e9 0.320442
\(184\) 1.01959e10 1.76599e10i 0.655763 1.13581i
\(185\) −3.55518e9 6.15776e9i −0.223146 0.386500i
\(186\) −4.66242e8 8.07554e8i −0.0285629 0.0494724i
\(187\) −2.91591e10 5.05051e10i −1.74376 3.02029i
\(188\) 3.62761e9 0.211793
\(189\) −5.05315e9 8.75231e9i −0.288061 0.498936i
\(190\) 7.18092e9 + 1.24377e10i 0.399750 + 0.692388i
\(191\) 5.32663e9 9.22599e9i 0.289602 0.501606i −0.684112 0.729377i \(-0.739810\pi\)
0.973715 + 0.227771i \(0.0731436\pi\)
\(192\) −5.49990e9 + 9.52611e9i −0.292078 + 0.505895i
\(193\) −1.05047e10 −0.544972 −0.272486 0.962160i \(-0.587846\pi\)
−0.272486 + 0.962160i \(0.587846\pi\)
\(194\) −4.92585e9 −0.249674
\(195\) 3.83773e9 6.64714e9i 0.190072 0.329215i
\(196\) 1.78466e9 3.09112e9i 0.0863779 0.149611i
\(197\) 7.83947e9 + 1.35784e10i 0.370842 + 0.642317i 0.989695 0.143190i \(-0.0457359\pi\)
−0.618854 + 0.785506i \(0.712403\pi\)
\(198\) 4.68665e9 + 8.11751e9i 0.216705 + 0.375344i
\(199\) −1.87505e9 −0.0847566 −0.0423783 0.999102i \(-0.513493\pi\)
−0.0423783 + 0.999102i \(0.513493\pi\)
\(200\) −1.79718e10 3.11281e10i −0.794249 1.37568i
\(201\) 1.64970e10 + 2.85737e10i 0.712892 + 1.23477i
\(202\) 1.85097e10 + 3.20597e10i 0.782199 + 1.35481i
\(203\) −3.32629e9 + 5.76130e9i −0.137476 + 0.238116i
\(204\) −9.71931e9 −0.392916
\(205\) −2.02108e10 + 3.50061e10i −0.799266 + 1.38437i
\(206\) −1.81285e10 3.13995e10i −0.701390 1.21484i
\(207\) 8.29538e9 0.314029
\(208\) 4.00586e9 + 6.93835e9i 0.148392 + 0.257023i
\(209\) −1.12079e10 + 1.94127e10i −0.406318 + 0.703764i
\(210\) 1.27784e10 2.21329e10i 0.453410 0.785329i
\(211\) −2.26499e10 −0.786675 −0.393338 0.919394i \(-0.628680\pi\)
−0.393338 + 0.919394i \(0.628680\pi\)
\(212\) 5.41604e9 9.38085e9i 0.184149 0.318956i
\(213\) 1.52417e10 0.507370
\(214\) 5.43047e10 1.77001
\(215\) −5.03969e10 + 1.69899e10i −1.60854 + 0.542271i
\(216\) −2.90040e10 −0.906600
\(217\) 1.00548e9 0.0307825
\(218\) −1.98483e10 + 3.43783e10i −0.595210 + 1.03093i
\(219\) 2.72172e10 0.799549
\(220\) −1.37592e10 + 2.38317e10i −0.395997 + 0.685886i
\(221\) 8.06103e9 1.39621e10i 0.227314 0.393719i
\(222\) −4.73691e9 8.20457e9i −0.130890 0.226708i
\(223\) 5.09682e10 1.38015 0.690076 0.723736i \(-0.257577\pi\)
0.690076 + 0.723736i \(0.257577\pi\)
\(224\) 4.80382e9 + 8.32047e9i 0.127488 + 0.220817i
\(225\) 7.31091e9 1.26629e10i 0.190173 0.329390i
\(226\) −5.04661e10 −1.28680
\(227\) 6.68868e9 1.15851e10i 0.167195 0.289591i −0.770237 0.637757i \(-0.779862\pi\)
0.937433 + 0.348167i \(0.113196\pi\)
\(228\) 1.86791e9 + 3.23531e9i 0.0457771 + 0.0792883i
\(229\) 1.19855e10 + 2.07596e10i 0.288004 + 0.498837i 0.973333 0.229396i \(-0.0736752\pi\)
−0.685330 + 0.728233i \(0.740342\pi\)
\(230\) 6.23728e10 + 1.08033e11i 1.46967 + 2.54554i
\(231\) 3.98890e10 0.921720
\(232\) 9.54609e9 + 1.65343e10i 0.216336 + 0.374706i
\(233\) −1.00808e10 1.74604e10i −0.224074 0.388107i 0.731967 0.681340i \(-0.238602\pi\)
−0.956041 + 0.293232i \(0.905269\pi\)
\(234\) −1.29562e9 + 2.24408e9i −0.0282493 + 0.0489292i
\(235\) 3.46435e10 6.00042e10i 0.740996 1.28344i
\(236\) −1.00928e10 −0.211792
\(237\) 5.18159e10 1.06683
\(238\) 2.68408e10 4.64896e10i 0.542249 0.939202i
\(239\) −1.91625e10 + 3.31904e10i −0.379893 + 0.657994i −0.991046 0.133518i \(-0.957372\pi\)
0.611154 + 0.791512i \(0.290706\pi\)
\(240\) −4.61254e10 7.98916e10i −0.897408 1.55436i
\(241\) 7.58372e9 + 1.31354e10i 0.144812 + 0.250822i 0.929303 0.369318i \(-0.120409\pi\)
−0.784491 + 0.620141i \(0.787075\pi\)
\(242\) −1.60527e11 −3.00870
\(243\) −1.08067e10 1.87178e10i −0.198823 0.344371i
\(244\) −2.40927e9 4.17298e9i −0.0435142 0.0753688i
\(245\) −3.40867e10 5.90399e10i −0.604419 1.04688i
\(246\) −2.69288e10 + 4.66420e10i −0.468823 + 0.812025i
\(247\) −6.19685e9 −0.105934
\(248\) 1.44281e9 2.49902e9i 0.0242201 0.0419505i
\(249\) −8.91682e9 1.54444e10i −0.146999 0.254609i
\(250\) 1.03013e11 1.66787
\(251\) −9.89874e9 1.71451e10i −0.157416 0.272652i 0.776520 0.630092i \(-0.216983\pi\)
−0.933936 + 0.357440i \(0.883650\pi\)
\(252\) −8.42219e8 + 1.45877e9i −0.0131560 + 0.0227868i
\(253\) −9.73509e10 + 1.68617e11i −1.49382 + 2.58737i
\(254\) 4.06439e10 0.612694
\(255\) −9.28187e10 + 1.60767e11i −1.37469 + 2.38103i
\(256\) 4.73065e10 0.688400
\(257\) −2.62034e9 −0.0374679 −0.0187339 0.999825i \(-0.505964\pi\)
−0.0187339 + 0.999825i \(0.505964\pi\)
\(258\) −6.71485e10 + 2.26372e10i −0.943513 + 0.318078i
\(259\) 1.02154e10 0.141061
\(260\) −7.60746e9 −0.103243
\(261\) −3.88334e9 + 6.72614e9i −0.0517992 + 0.0897188i
\(262\) 1.01746e11 1.33402
\(263\) −7.63104e10 + 1.32173e11i −0.983519 + 1.70351i −0.335178 + 0.942155i \(0.608797\pi\)
−0.648341 + 0.761350i \(0.724537\pi\)
\(264\) 5.72385e10 9.91400e10i 0.725222 1.25612i
\(265\) −1.03446e11 1.79173e11i −1.28856 2.23185i
\(266\) −2.06336e10 −0.252701
\(267\) −2.52078e9 4.36611e9i −0.0303552 0.0525768i
\(268\) 1.63509e10 2.83206e10i 0.193613 0.335348i
\(269\) 1.43068e11 1.66593 0.832966 0.553324i \(-0.186641\pi\)
0.832966 + 0.553324i \(0.186641\pi\)
\(270\) 8.87147e10 1.53658e11i 1.01592 1.75962i
\(271\) −1.94503e10 3.36888e10i −0.219060 0.379423i 0.735461 0.677567i \(-0.236966\pi\)
−0.954521 + 0.298144i \(0.903632\pi\)
\(272\) −9.68851e10 1.67810e11i −1.07324 1.85891i
\(273\) 5.51365e9 + 9.54992e9i 0.0600769 + 0.104056i
\(274\) 1.11472e11 1.19478
\(275\) 1.71595e11 + 2.97211e11i 1.80929 + 3.13378i
\(276\) 1.62245e10 + 2.81016e10i 0.168298 + 0.291501i
\(277\) −2.21400e10 + 3.83476e10i −0.225953 + 0.391363i −0.956605 0.291388i \(-0.905883\pi\)
0.730652 + 0.682750i \(0.239216\pi\)
\(278\) 3.40463e10 5.89699e10i 0.341876 0.592146i
\(279\) 1.17386e9 0.0115984
\(280\) 7.90871e10 0.768944
\(281\) 4.88903e10 8.46805e10i 0.467783 0.810223i −0.531540 0.847033i \(-0.678386\pi\)
0.999322 + 0.0368101i \(0.0117197\pi\)
\(282\) 4.61588e10 7.99493e10i 0.434643 0.752824i
\(283\) −6.23304e10 1.07959e11i −0.577645 1.00051i −0.995749 0.0921115i \(-0.970638\pi\)
0.418103 0.908399i \(-0.362695\pi\)
\(284\) −7.55332e9 1.30827e10i −0.0688978 0.119335i
\(285\) 7.13536e10 0.640640
\(286\) −3.04097e10 5.26711e10i −0.268760 0.465506i
\(287\) −2.90368e10 5.02932e10i −0.252627 0.437563i
\(288\) 5.60831e9 + 9.71388e9i 0.0480359 + 0.0832006i
\(289\) −1.35669e11 + 2.34986e11i −1.14404 + 1.98153i
\(290\) −1.16795e11 −0.969690
\(291\) −1.22365e10 + 2.11942e10i −0.100032 + 0.173260i
\(292\) −1.34880e10 2.33620e10i −0.108574 0.188056i
\(293\) −1.53986e11 −1.22061 −0.610305 0.792166i \(-0.708953\pi\)
−0.610305 + 0.792166i \(0.708953\pi\)
\(294\) −4.54170e10 7.86645e10i −0.354532 0.614067i
\(295\) −9.63859e10 + 1.66945e11i −0.740993 + 1.28344i
\(296\) 1.46586e10 2.53894e10i 0.110989 0.192239i
\(297\) 2.76930e11 2.06522
\(298\) −7.47037e10 + 1.29391e11i −0.548743 + 0.950451i
\(299\) −5.38253e10 −0.389463
\(300\) 5.71960e10 0.407680
\(301\) 1.50635e10 7.49092e10i 0.105773 0.526000i
\(302\) −1.59905e11 −1.10619
\(303\) 1.83922e11 1.25355
\(304\) −3.72398e10 + 6.45012e10i −0.250078 + 0.433148i
\(305\) −9.20334e10 −0.608970
\(306\) 3.13357e10 5.42751e10i 0.204312 0.353878i
\(307\) −1.68828e10 + 2.92419e10i −0.108473 + 0.187881i −0.915152 0.403109i \(-0.867929\pi\)
0.806679 + 0.590990i \(0.201263\pi\)
\(308\) −1.97678e10 3.42388e10i −0.125164 0.216791i
\(309\) −1.80135e11 −1.12405
\(310\) 8.82626e9 + 1.52875e10i 0.0542812 + 0.0940177i
\(311\) 5.89690e10 1.02137e11i 0.357439 0.619103i −0.630093 0.776520i \(-0.716983\pi\)
0.987532 + 0.157417i \(0.0503166\pi\)
\(312\) 3.16472e10 0.189077
\(313\) 1.08757e11 1.88373e11i 0.640485 1.10935i −0.344840 0.938661i \(-0.612067\pi\)
0.985325 0.170690i \(-0.0545998\pi\)
\(314\) 2.97452e10 + 5.15203e10i 0.172677 + 0.299085i
\(315\) 1.60863e10 + 2.78622e10i 0.0920572 + 0.159448i
\(316\) −2.56784e10 4.44764e10i −0.144869 0.250921i
\(317\) −6.58228e9 −0.0366108 −0.0183054 0.999832i \(-0.505827\pi\)
−0.0183054 + 0.999832i \(0.505827\pi\)
\(318\) −1.37830e11 2.38729e11i −0.755827 1.30913i
\(319\) −9.11462e10 1.57870e11i −0.492811 0.853574i
\(320\) 1.04117e11 1.80336e11i 0.555068 0.961405i
\(321\) 1.34900e11 2.33654e11i 0.709154 1.22829i
\(322\) −1.79221e11 −0.929049
\(323\) 1.49876e11 0.766163
\(324\) 1.82127e10 3.15453e10i 0.0918167 0.159031i
\(325\) −4.74374e10 + 8.21640e10i −0.235855 + 0.408513i
\(326\) 4.89497e10 + 8.47834e10i 0.240033 + 0.415750i
\(327\) 9.86121e10 + 1.70801e11i 0.476942 + 0.826087i
\(328\) −1.66665e11 −0.795082
\(329\) 4.97721e10 + 8.62078e10i 0.234210 + 0.405663i
\(330\) 3.50152e11 + 6.06481e11i 1.62534 + 2.81517i
\(331\) −1.69730e9 2.93981e9i −0.00777199 0.0134615i 0.862113 0.506716i \(-0.169141\pi\)
−0.869885 + 0.493254i \(0.835807\pi\)
\(332\) −8.83783e9 + 1.53076e10i −0.0399231 + 0.0691488i
\(333\) 1.19262e10 0.0531500
\(334\) 8.02768e10 1.39044e11i 0.352965 0.611353i
\(335\) −3.12300e11 5.40919e11i −1.35478 2.34656i
\(336\) 1.32536e11 0.567295
\(337\) −2.93494e10 5.08347e10i −0.123955 0.214697i 0.797369 0.603492i \(-0.206225\pi\)
−0.921324 + 0.388795i \(0.872891\pi\)
\(338\) −1.25332e11 + 2.17082e11i −0.522322 + 0.904689i
\(339\) −1.25365e11 + 2.17138e11i −0.515557 + 0.892971i
\(340\) 1.83993e11 0.746700
\(341\) −1.37760e10 + 2.38606e10i −0.0551730 + 0.0955625i
\(342\) −2.40891e10 −0.0952144
\(343\) 2.35481e11 0.918612
\(344\) −1.64564e11 1.44929e11i −0.633610 0.558012i
\(345\) 6.19770e11 2.35529
\(346\) −1.24454e11 −0.466838
\(347\) 2.89994e10 5.02285e10i 0.107376 0.185981i −0.807331 0.590100i \(-0.799088\pi\)
0.914706 + 0.404119i \(0.132422\pi\)
\(348\) −3.03808e10 −0.111043
\(349\) 8.83756e10 1.53071e11i 0.318873 0.552305i −0.661380 0.750051i \(-0.730029\pi\)
0.980253 + 0.197746i \(0.0633623\pi\)
\(350\) −1.57952e11 + 2.73581e11i −0.562625 + 0.974494i
\(351\) 3.82786e10 + 6.63006e10i 0.134609 + 0.233150i
\(352\) −2.63266e11 −0.914015
\(353\) 2.36169e11 + 4.09057e11i 0.809537 + 1.40216i 0.913185 + 0.407545i \(0.133615\pi\)
−0.103649 + 0.994614i \(0.533052\pi\)
\(354\) −1.28424e11 + 2.22437e11i −0.434642 + 0.752822i
\(355\) −2.88535e11 −0.964208
\(356\) −2.49844e9 + 4.32743e9i −0.00824413 + 0.0142792i
\(357\) −1.33352e11 2.30973e11i −0.434504 0.752583i
\(358\) −1.65010e11 2.85807e11i −0.530931 0.919599i
\(359\) 3.51117e10 + 6.08152e10i 0.111565 + 0.193236i 0.916401 0.400261i \(-0.131080\pi\)
−0.804837 + 0.593496i \(0.797747\pi\)
\(360\) 9.23317e10 0.289727
\(361\) 1.32540e11 + 2.29566e11i 0.410737 + 0.711418i
\(362\) −7.67678e9 1.32966e10i −0.0234958 0.0406960i
\(363\) −3.98771e11 + 6.90691e11i −1.20543 + 2.08787i
\(364\) 5.46480e9 9.46532e9i 0.0163162 0.0282604i
\(365\) −5.15240e11 −1.51947
\(366\) −1.22625e11 −0.357202
\(367\) 4.54100e10 7.86524e10i 0.130663 0.226316i −0.793269 0.608871i \(-0.791623\pi\)
0.923933 + 0.382556i \(0.124956\pi\)
\(368\) −3.23461e11 + 5.60251e11i −0.919406 + 1.59246i
\(369\) −3.38995e10 5.87157e10i −0.0951864 0.164868i
\(370\) 8.96728e10 + 1.55318e11i 0.248744 + 0.430838i
\(371\) 2.97240e11 0.814562
\(372\) 2.29590e9 + 3.97661e9i 0.00621597 + 0.0107664i
\(373\) −2.20074e11 3.81179e11i −0.588680 1.01962i −0.994406 0.105629i \(-0.966315\pi\)
0.405726 0.913995i \(-0.367019\pi\)
\(374\) 7.35484e11 + 1.27390e12i 1.94380 + 3.36676i
\(375\) 2.55899e11 4.43230e11i 0.668233 1.15741i
\(376\) 2.85681e11 0.737117
\(377\) 2.51973e10 4.36431e10i 0.0642419 0.111270i
\(378\) 1.27456e11 + 2.20760e11i 0.321105 + 0.556171i
\(379\) 5.22477e11 1.30074 0.650370 0.759617i \(-0.274614\pi\)
0.650370 + 0.759617i \(0.274614\pi\)
\(380\) −3.53607e10 6.12466e10i −0.0869951 0.150680i
\(381\) 1.00965e11 1.74877e11i 0.245476 0.425177i
\(382\) −1.34354e11 + 2.32708e11i −0.322824 + 0.559147i
\(383\) −6.74970e11 −1.60284 −0.801419 0.598103i \(-0.795921\pi\)
−0.801419 + 0.598103i \(0.795921\pi\)
\(384\) 2.29158e11 3.96912e11i 0.537828 0.931546i
\(385\) −7.55125e11 −1.75164
\(386\) 2.64960e11 0.607488
\(387\) 1.75861e10 8.74541e10i 0.0398539 0.198190i
\(388\) 2.42562e10 0.0543350
\(389\) −3.38255e11 −0.748982 −0.374491 0.927231i \(-0.622183\pi\)
−0.374491 + 0.927231i \(0.622183\pi\)
\(390\) −9.67994e10 + 1.67662e11i −0.211876 + 0.366980i
\(391\) 1.30181e12 2.81677
\(392\) 1.40545e11 2.43431e11i 0.300627 0.520702i
\(393\) 2.52752e11 4.37779e11i 0.534476 0.925739i
\(394\) −1.97736e11 3.42488e11i −0.413383 0.716000i
\(395\) −9.80909e11 −2.02741
\(396\) −2.30783e10 3.99728e10i −0.0471602 0.0816838i
\(397\) −2.17468e11 + 3.76666e11i −0.439378 + 0.761024i −0.997642 0.0686390i \(-0.978134\pi\)
0.558264 + 0.829663i \(0.311468\pi\)
\(398\) 4.72946e10 0.0944794
\(399\) −5.12567e10 + 8.87792e10i −0.101245 + 0.175361i
\(400\) 5.70147e11 + 9.87524e11i 1.11357 + 1.92876i
\(401\) 2.61885e10 + 4.53599e10i 0.0505780 + 0.0876036i 0.890206 0.455558i \(-0.150560\pi\)
−0.839628 + 0.543162i \(0.817227\pi\)
\(402\) −4.16107e11 7.20718e11i −0.794671 1.37641i
\(403\) −7.61672e9 −0.0143845
\(404\) −9.11464e10 1.57870e11i −0.170225 0.294838i
\(405\) −3.47860e11 6.02511e11i −0.642476 1.11280i
\(406\) 8.38994e10 1.45318e11i 0.153247 0.265431i
\(407\) −1.39961e11 + 2.42419e11i −0.252831 + 0.437916i
\(408\) −7.65413e11 −1.36749
\(409\) −6.99100e11 −1.23533 −0.617667 0.786440i \(-0.711922\pi\)
−0.617667 + 0.786440i \(0.711922\pi\)
\(410\) 5.09779e11 8.82964e11i 0.890953 1.54318i
\(411\) 2.76913e11 4.79627e11i 0.478690 0.829116i
\(412\) 8.92696e10 + 1.54619e11i 0.152639 + 0.264379i
\(413\) −1.38477e11 2.39850e11i −0.234209 0.405661i
\(414\) −2.09235e11 −0.350053
\(415\) 1.68801e11 + 2.92372e11i 0.279357 + 0.483860i
\(416\) −3.63900e10 6.30293e10i −0.0595747 0.103186i
\(417\) −1.69151e11 2.92979e11i −0.273945 0.474487i
\(418\) 2.82698e11 4.89648e11i 0.452929 0.784496i
\(419\) 4.82014e11 0.764005 0.382002 0.924161i \(-0.375235\pi\)
0.382002 + 0.924161i \(0.375235\pi\)
\(420\) −6.29244e10 + 1.08988e11i −0.0986728 + 0.170906i
\(421\) 1.77897e11 + 3.08127e11i 0.275994 + 0.478035i 0.970385 0.241562i \(-0.0776597\pi\)
−0.694392 + 0.719597i \(0.744326\pi\)
\(422\) 5.71301e11 0.876918
\(423\) 5.81074e10 + 1.00645e11i 0.0882469 + 0.152848i
\(424\) 4.26523e11 7.38759e11i 0.640908 1.11009i
\(425\) 1.14731e12 1.98721e12i 1.70582 2.95456i
\(426\) −3.84442e11 −0.565572
\(427\) 6.61120e10 1.14509e11i 0.0962398 0.166692i
\(428\) −2.67411e11 −0.385196
\(429\) −3.02167e11 −0.430715
\(430\) 1.27117e12 4.28537e11i 1.79306 0.604478i
\(431\) −2.09610e11 −0.292593 −0.146296 0.989241i \(-0.546735\pi\)
−0.146296 + 0.989241i \(0.546735\pi\)
\(432\) 9.20138e11 1.27109
\(433\) 4.42503e11 7.66438e11i 0.604952 1.04781i −0.387107 0.922035i \(-0.626526\pi\)
0.992059 0.125773i \(-0.0401411\pi\)
\(434\) −2.53613e10 −0.0343137
\(435\) −2.90135e11 + 5.02528e11i −0.388506 + 0.672912i
\(436\) 9.77385e10 1.69288e11i 0.129532 0.224356i
\(437\) −2.50189e11 4.33339e11i −0.328172 0.568410i
\(438\) −6.86503e11 −0.891269
\(439\) 3.39709e10 + 5.88394e10i 0.0436533 + 0.0756097i 0.887027 0.461719i \(-0.152767\pi\)
−0.843373 + 0.537328i \(0.819434\pi\)
\(440\) −1.08356e12 + 1.87679e12i −1.37822 + 2.38714i
\(441\) 1.14347e11 0.143963
\(442\) −2.03324e11 + 3.52168e11i −0.253390 + 0.438884i
\(443\) −2.61024e11 4.52108e11i −0.322006 0.557731i 0.658896 0.752234i \(-0.271024\pi\)
−0.980902 + 0.194503i \(0.937691\pi\)
\(444\) 2.33258e10 + 4.04014e10i 0.0284848 + 0.0493371i
\(445\) 4.77199e10 + 8.26533e10i 0.0576872 + 0.0999172i
\(446\) −1.28558e12 −1.53848
\(447\) 3.71149e11 + 6.42849e11i 0.439708 + 0.761596i
\(448\) 1.49584e11 + 2.59087e11i 0.175442 + 0.303875i
\(449\) 1.61677e11 2.80033e11i 0.187732 0.325162i −0.756761 0.653691i \(-0.773220\pi\)
0.944494 + 0.328529i \(0.106553\pi\)
\(450\) −1.84404e11 + 3.19397e11i −0.211989 + 0.367176i
\(451\) 1.59132e12 1.81118
\(452\) 2.48508e11 0.280039
\(453\) −3.97226e11 + 6.88016e11i −0.443196 + 0.767638i
\(454\) −1.68709e11 + 2.92213e11i −0.186375 + 0.322811i
\(455\) −1.04377e11 1.80786e11i −0.114170 0.197749i
\(456\) 1.47101e11 + 2.54787e11i 0.159321 + 0.275953i
\(457\) 1.43190e12 1.53564 0.767821 0.640665i \(-0.221341\pi\)
0.767821 + 0.640665i \(0.221341\pi\)
\(458\) −3.02313e11 5.23621e11i −0.321042 0.556061i
\(459\) −9.25802e11 1.60354e12i −0.973556 1.68625i
\(460\) −3.07140e11 5.31982e11i −0.319835 0.553971i
\(461\) −7.75088e11 + 1.34249e12i −0.799276 + 1.38439i 0.120812 + 0.992675i \(0.461450\pi\)
−0.920088 + 0.391711i \(0.871883\pi\)
\(462\) −1.00612e12 −1.02745
\(463\) −3.99204e11 + 6.91442e11i −0.403720 + 0.699264i −0.994172 0.107809i \(-0.965616\pi\)
0.590451 + 0.807073i \(0.298950\pi\)
\(464\) −3.02845e11 5.24544e11i −0.303312 0.525352i
\(465\) 8.77026e10 0.0869910
\(466\) 2.54268e11 + 4.40405e11i 0.249778 + 0.432629i
\(467\) −2.88270e11 + 4.99299e11i −0.280462 + 0.485774i −0.971499 0.237045i \(-0.923821\pi\)
0.691037 + 0.722820i \(0.257154\pi\)
\(468\) 6.37999e9 1.10505e10i 0.00614771 0.0106481i
\(469\) 8.97360e11 0.856424
\(470\) −8.73816e11 + 1.51349e12i −0.825999 + 1.43067i
\(471\) 2.95565e11 0.276732
\(472\) −7.94829e11 −0.737114
\(473\) 1.57126e12 + 1.38379e12i 1.44335 + 1.27114i
\(474\) −1.30696e12 −1.18921
\(475\) −8.81987e11 −0.794952
\(476\) −1.32171e11 + 2.28927e11i −0.118006 + 0.204393i
\(477\) 3.47018e11 0.306916
\(478\) 4.83337e11 8.37165e11i 0.423472 0.733475i
\(479\) −4.32876e11 + 7.49763e11i −0.375711 + 0.650750i −0.990433 0.137993i \(-0.955935\pi\)
0.614722 + 0.788744i \(0.289268\pi\)
\(480\) 4.19012e11 + 7.25750e11i 0.360281 + 0.624024i
\(481\) −7.73841e10 −0.0659172
\(482\) −1.91285e11 3.31315e11i −0.161424 0.279595i
\(483\) −4.45211e11 + 7.71128e11i −0.372223 + 0.644710i
\(484\) 7.90476e11 0.654764
\(485\) 2.31645e11 4.01220e11i 0.190101 0.329265i
\(486\) 2.72579e11 + 4.72121e11i 0.221630 + 0.383875i
\(487\) −2.98357e11 5.16769e11i −0.240356 0.416309i 0.720460 0.693497i \(-0.243931\pi\)
−0.960816 + 0.277188i \(0.910598\pi\)
\(488\) −1.89734e11 3.28629e11i −0.151446 0.262311i
\(489\) 4.86392e11 0.384677
\(490\) 8.59773e11 + 1.48917e12i 0.673754 + 1.16698i
\(491\) 6.73336e11 + 1.16625e12i 0.522836 + 0.905578i 0.999647 + 0.0265723i \(0.00845923\pi\)
−0.476811 + 0.879006i \(0.658207\pi\)
\(492\) 1.32604e11 2.29678e11i 0.102027 0.176716i
\(493\) −6.09419e11 + 1.05555e12i −0.464628 + 0.804759i
\(494\) 1.56304e11 0.118086
\(495\) −8.81584e11 −0.659994
\(496\) −4.57724e10 + 7.92802e10i −0.0339576 + 0.0588162i
\(497\) 2.07268e11 3.59000e11i 0.152381 0.263931i
\(498\) 2.24910e11 + 3.89555e11i 0.163861 + 0.283816i
\(499\) 7.49790e11 + 1.29867e12i 0.541361 + 0.937665i 0.998826 + 0.0484375i \(0.0154242\pi\)
−0.457465 + 0.889228i \(0.651242\pi\)
\(500\) −5.07264e11 −0.362969
\(501\) −3.98838e11 6.90807e11i −0.282831 0.489877i
\(502\) 2.49677e11 + 4.32453e11i 0.175474 + 0.303929i
\(503\) 3.28076e11 + 5.68243e11i 0.228517 + 0.395802i 0.957369 0.288869i \(-0.0932791\pi\)
−0.728852 + 0.684671i \(0.759946\pi\)
\(504\) −6.63263e10 + 1.14881e11i −0.0457876 + 0.0793065i
\(505\) −3.48177e12 −2.38226
\(506\) 2.45549e12 4.25304e12i 1.66518 2.88418i
\(507\) 6.22686e11 + 1.07852e12i 0.418537 + 0.724927i
\(508\) −2.00141e11 −0.133337
\(509\) −1.99995e11 3.46401e11i −0.132065 0.228744i 0.792407 0.609992i \(-0.208828\pi\)
−0.924473 + 0.381249i \(0.875494\pi\)
\(510\) 2.34118e12 4.05504e12i 1.53239 2.65417i
\(511\) 3.70121e11 6.41069e11i 0.240132 0.415921i
\(512\) 6.79317e11 0.436876
\(513\) −3.55851e11 + 6.16352e11i −0.226851 + 0.392917i
\(514\) 6.60932e10 0.0417660
\(515\) 3.41007e12 2.13615
\(516\) 3.30657e11 1.11472e11i 0.205331 0.0692214i
\(517\) −2.72769e12 −1.67914
\(518\) −2.57665e11 −0.157243
\(519\) −3.09161e11 + 5.35482e11i −0.187039 + 0.323960i
\(520\) −5.99101e11 −0.359323
\(521\) 7.96574e11 1.37971e12i 0.473649 0.820383i −0.525896 0.850549i \(-0.676270\pi\)
0.999545 + 0.0301653i \(0.00960338\pi\)
\(522\) 9.79499e10 1.69654e11i 0.0577413 0.100011i
\(523\) −6.44823e11 1.11687e12i −0.376863 0.652745i 0.613741 0.789507i \(-0.289664\pi\)
−0.990604 + 0.136762i \(0.956330\pi\)
\(524\) −5.01026e11 −0.290315
\(525\) 7.84749e11 + 1.35922e12i 0.450831 + 0.780862i
\(526\) 1.92479e12 3.33383e12i 1.09634 1.89892i
\(527\) 1.84217e11 0.104035
\(528\) −1.81587e12 + 3.14517e12i −1.01679 + 1.76113i
\(529\) −1.27254e12 2.20410e12i −0.706514 1.22372i
\(530\) 2.60922e12 + 4.51930e12i 1.43638 + 2.48788i
\(531\) −1.61668e11 2.80017e11i −0.0882466 0.152848i
\(532\) 1.01605e11 0.0549938
\(533\) 2.19960e11 + 3.80982e11i 0.118051 + 0.204471i
\(534\) 6.35818e10 + 1.10127e11i 0.0338374 + 0.0586081i
\(535\) −2.55375e12 + 4.42323e12i −1.34768 + 2.33425i
\(536\) 1.28766e12 2.23030e12i 0.673846 1.16714i
\(537\) −1.63964e12 −0.850870
\(538\) −3.60862e12 −1.85704
\(539\) −1.34193e12 + 2.32428e12i −0.684824 + 1.18615i
\(540\) −4.36855e11 + 7.56654e11i −0.221088 + 0.382935i
\(541\) −2.93512e11 5.08377e11i −0.147312 0.255152i 0.782921 0.622121i \(-0.213729\pi\)
−0.930233 + 0.366969i \(0.880395\pi\)
\(542\) 4.90596e11 + 8.49737e11i 0.244190 + 0.422949i
\(543\) −7.62807e10 −0.0376544
\(544\) 8.80122e11 + 1.52442e12i 0.430872 + 0.746292i
\(545\) −1.86679e12 3.23338e12i −0.906382 1.56990i
\(546\) −1.39071e11 2.40879e11i −0.0669685 0.115993i
\(547\) 9.97254e11 1.72729e12i 0.476281 0.824942i −0.523350 0.852118i \(-0.675318\pi\)
0.999631 + 0.0271756i \(0.00865134\pi\)
\(548\) −5.48919e11 −0.260013
\(549\) 7.71837e10 1.33686e11i 0.0362618 0.0628073i
\(550\) −4.32816e12 7.49659e12i −2.01684 3.49327i
\(551\) 4.68486e11 0.216528
\(552\) 1.27771e12 + 2.21305e12i 0.585741 + 1.01453i
\(553\) 7.04634e11 1.22046e12i 0.320406 0.554959i
\(554\) 5.58440e11 9.67247e11i 0.251874 0.436258i
\(555\) 8.91038e11 0.398637
\(556\) −1.67653e11 + 2.90383e11i −0.0744003 + 0.128865i
\(557\) 2.37000e12 1.04328 0.521639 0.853166i \(-0.325321\pi\)
0.521639 + 0.853166i \(0.325321\pi\)
\(558\) −2.96085e10 −0.0129289
\(559\) −1.14109e11 + 5.67453e11i −0.0494272 + 0.245797i
\(560\) −2.50900e12 −1.07809
\(561\) 7.30818e12 3.11513
\(562\) −1.23316e12 + 2.13590e12i −0.521444 + 0.903168i
\(563\) −1.65784e12 −0.695431 −0.347716 0.937600i \(-0.613043\pi\)
−0.347716 + 0.937600i \(0.613043\pi\)
\(564\) −2.27298e11 + 3.93691e11i −0.0945887 + 0.163832i
\(565\) 2.37324e12 4.11057e12i 0.979768 1.69701i
\(566\) 1.57217e12 + 2.72307e12i 0.643909 + 1.11528i
\(567\) 9.99538e11 0.406140
\(568\) −5.94838e11 1.03029e12i −0.239790 0.415329i
\(569\) 1.85829e11 3.21866e11i 0.0743206 0.128727i −0.826470 0.562981i \(-0.809655\pi\)
0.900791 + 0.434254i \(0.142988\pi\)
\(570\) −1.79976e12 −0.714130
\(571\) 5.72075e11 9.90862e11i 0.225211 0.390078i −0.731171 0.682194i \(-0.761026\pi\)
0.956383 + 0.292116i \(0.0943594\pi\)
\(572\) 1.49745e11 + 2.59366e11i 0.0584886 + 0.101305i
\(573\) 6.67508e11 + 1.15616e12i 0.258679 + 0.448045i
\(574\) 7.32398e11 + 1.26855e12i 0.281607 + 0.487758i
\(575\) −7.66086e12 −2.92262
\(576\) 1.74635e11 + 3.02476e11i 0.0661043 + 0.114496i
\(577\) 1.01879e12 + 1.76460e12i 0.382644 + 0.662758i 0.991439 0.130569i \(-0.0416804\pi\)
−0.608796 + 0.793327i \(0.708347\pi\)
\(578\) 3.42199e12 5.92707e12i 1.27528 2.20884i
\(579\) 6.58198e11 1.14003e12i 0.243390 0.421564i
\(580\) 5.75129e11 0.211028
\(581\) −4.85032e11 −0.176595
\(582\) 3.08642e11 5.34584e11i 0.111507 0.193136i
\(583\) −4.07245e12 + 7.05368e12i −1.45998 + 2.52876i
\(584\) −1.06221e12 1.83980e12i −0.377878 0.654504i
\(585\) −1.21857e11 2.11062e11i −0.0430178 0.0745091i
\(586\) 3.88401e12 1.36063
\(587\) 1.51023e12 + 2.61579e12i 0.525013 + 0.909350i 0.999576 + 0.0291278i \(0.00927298\pi\)
−0.474562 + 0.880222i \(0.657394\pi\)
\(588\) 2.23645e11 + 3.87365e11i 0.0771545 + 0.133636i
\(589\) −3.54037e10 6.13211e10i −0.0121208 0.0209938i
\(590\) 2.43115e12 4.21088e12i 0.825996 1.43067i
\(591\) −1.96481e12 −0.662487
\(592\) −4.65037e11 + 8.05468e11i −0.155611 + 0.269526i
\(593\) −3.93652e11 6.81826e11i −0.130727 0.226427i 0.793230 0.608922i \(-0.208398\pi\)
−0.923957 + 0.382496i \(0.875065\pi\)
\(594\) −6.98504e12 −2.30213
\(595\) 2.52445e12 + 4.37247e12i 0.825733 + 1.43021i
\(596\) 3.67861e11 6.37154e11i 0.119420 0.206841i
\(597\) 1.17486e11 2.03492e11i 0.0378532 0.0655636i
\(598\) 1.35764e12 0.434140
\(599\) −1.53879e12 + 2.66526e12i −0.488381 + 0.845900i −0.999911 0.0133654i \(-0.995746\pi\)
0.511530 + 0.859265i \(0.329079\pi\)
\(600\) 4.50429e12 1.41888
\(601\) 1.31463e12 0.411025 0.205512 0.978655i \(-0.434114\pi\)
0.205512 + 0.978655i \(0.434114\pi\)
\(602\) −3.79947e11 + 1.88944e12i −0.117907 + 0.586340i
\(603\) 1.04764e12 0.322689
\(604\) 7.87415e11 0.240734
\(605\) 7.54899e12 1.30752e13i 2.29081 3.96781i
\(606\) −4.63909e12 −1.39735
\(607\) 2.86279e11 4.95850e11i 0.0855935 0.148252i −0.820050 0.572291i \(-0.806055\pi\)
0.905644 + 0.424039i \(0.139388\pi\)
\(608\) 3.38293e11 5.85941e11i 0.100398 0.173895i
\(609\) −4.16835e11 7.21980e11i −0.122797 0.212690i
\(610\) 2.32137e12 0.678828
\(611\) −3.77034e11 6.53042e11i −0.109445 0.189564i
\(612\) −1.54305e11 + 2.67265e11i −0.0444631 + 0.0770123i
\(613\) −4.57559e12 −1.30881 −0.654403 0.756146i \(-0.727080\pi\)
−0.654403 + 0.756146i \(0.727080\pi\)
\(614\) 4.25837e11 7.37572e11i 0.120917 0.209434i
\(615\) −2.53272e12 4.38681e12i −0.713921 1.23655i
\(616\) −1.55675e12 2.69637e12i −0.435618 0.754513i
\(617\) 2.69395e12 + 4.66606e12i 0.748352 + 1.29618i 0.948612 + 0.316441i \(0.102488\pi\)
−0.200260 + 0.979743i \(0.564179\pi\)
\(618\) 4.54356e12 1.25299
\(619\) −3.18755e11 5.52101e11i −0.0872669 0.151151i 0.819088 0.573668i \(-0.194480\pi\)
−0.906355 + 0.422517i \(0.861147\pi\)
\(620\) −4.34628e10 7.52798e10i −0.0118129 0.0204605i
\(621\) −3.09089e12 + 5.35357e12i −0.834010 + 1.44455i
\(622\) −1.48738e12 + 2.57622e12i −0.398443 + 0.690123i
\(623\) −1.37118e11 −0.0364669
\(624\) −1.00399e12 −0.265094
\(625\) −1.25577e12 + 2.17506e12i −0.329193 + 0.570179i
\(626\) −2.74320e12 + 4.75135e12i −0.713957 + 1.23661i
\(627\) −1.40452e12 2.43271e12i −0.362932 0.628617i
\(628\) −1.46473e11 2.53699e11i −0.0375786 0.0650880i
\(629\) 1.87160e12 0.476744
\(630\) −4.05746e11 7.02772e11i −0.102617 0.177739i
\(631\) −1.49381e12 2.58736e12i −0.375115 0.649718i 0.615229 0.788348i \(-0.289063\pi\)
−0.990344 + 0.138630i \(0.955730\pi\)
\(632\) −2.02222e12 3.50259e12i −0.504199 0.873299i
\(633\) 1.41919e12 2.45811e12i 0.351337 0.608534i
\(634\) 1.66026e11 0.0408106
\(635\) −1.91134e12 + 3.31053e12i −0.466504 + 0.808008i
\(636\) 6.78713e11 + 1.17556e12i 0.164486 + 0.284898i
\(637\) −7.41950e11 −0.178545
\(638\) 2.29899e12 + 3.98197e12i 0.549344 + 0.951491i
\(639\) 2.41979e11 4.19121e11i 0.0574149 0.0994455i
\(640\) −4.33810e12 + 7.51381e12i −1.02209 + 1.77032i
\(641\) −9.41436e11 −0.220257 −0.110129 0.993917i \(-0.535126\pi\)
−0.110129 + 0.993917i \(0.535126\pi\)
\(642\) −3.40261e12 + 5.89349e12i −0.790505 + 1.36919i
\(643\) −4.61925e12 −1.06567 −0.532835 0.846219i \(-0.678873\pi\)
−0.532835 + 0.846219i \(0.678873\pi\)
\(644\) 8.82534e11 0.202183
\(645\) 1.31391e12 6.53393e12i 0.298913 1.48647i
\(646\) −3.78034e12 −0.854052
\(647\) 8.74488e12 1.96194 0.980968 0.194171i \(-0.0622017\pi\)
0.980968 + 0.194171i \(0.0622017\pi\)
\(648\) 1.43428e12 2.48425e12i 0.319556 0.553488i
\(649\) 7.58904e12 1.67914
\(650\) 1.19652e12 2.07243e12i 0.262911 0.455376i
\(651\) −6.30010e10 + 1.09121e11i −0.0137478 + 0.0238119i
\(652\) −2.41041e11 4.17496e11i −0.0522369 0.0904770i
\(653\) 1.25680e12 0.270493 0.135246 0.990812i \(-0.456817\pi\)
0.135246 + 0.990812i \(0.456817\pi\)
\(654\) −2.48730e12 4.30813e12i −0.531654 0.920851i
\(655\) −4.78476e12 + 8.28745e12i −1.01572 + 1.75928i
\(656\) 5.28737e12 1.11474
\(657\) 4.32105e11 7.48428e11i 0.0904784 0.156713i
\(658\) −1.25541e12 2.17443e12i −0.261077 0.452198i
\(659\) −2.45352e12 4.24962e12i −0.506763 0.877739i −0.999969 0.00782685i \(-0.997509\pi\)
0.493206 0.869912i \(-0.335825\pi\)
\(660\) −1.72424e12 2.98647e12i −0.353712 0.612648i
\(661\) −6.09536e11 −0.124192 −0.0620959 0.998070i \(-0.519778\pi\)
−0.0620959 + 0.998070i \(0.519778\pi\)
\(662\) 4.28111e10 + 7.41510e10i 0.00866355 + 0.0150057i
\(663\) 1.01017e12 + 1.74967e12i 0.203041 + 0.351678i
\(664\) −6.95995e11 + 1.20550e12i −0.138947 + 0.240664i
\(665\) 9.70323e11 1.68065e12i 0.192406 0.333257i
\(666\) −3.00816e11 −0.0592470
\(667\) 4.06922e12 0.796059
\(668\) −3.95304e11 + 6.84687e11i −0.0768135 + 0.133045i
\(669\) −3.19355e12 + 5.53139e12i −0.616391 + 1.06762i
\(670\) 7.87717e12 + 1.36437e13i 1.51020 + 2.61574i
\(671\) 1.81159e12 + 3.13776e12i 0.344991 + 0.597542i
\(672\) −1.20399e12 −0.227751
\(673\) −5.13427e12 8.89282e12i −0.964742 1.67098i −0.710307 0.703892i \(-0.751444\pi\)
−0.254435 0.967090i \(-0.581890\pi\)
\(674\) 7.40284e11 + 1.28221e12i 0.138175 + 0.239326i
\(675\) 5.44814e12 + 9.43645e12i 1.01014 + 1.74961i
\(676\) 6.17170e11 1.06897e12i 0.113670 0.196882i
\(677\) −5.48520e12 −1.00356 −0.501780 0.864995i \(-0.667321\pi\)
−0.501780 + 0.864995i \(0.667321\pi\)
\(678\) 3.16209e12 5.47690e12i 0.574699 0.995408i
\(679\) 3.32803e11 + 5.76432e11i 0.0600860 + 0.104072i
\(680\) 1.44898e13 2.59879
\(681\) 8.38194e11 + 1.45180e12i 0.149342 + 0.258668i
\(682\) 3.47472e11 6.01840e11i 0.0615022 0.106525i
\(683\) 1.41220e12 2.44600e12i 0.248315 0.430095i −0.714743 0.699387i \(-0.753456\pi\)
0.963058 + 0.269292i \(0.0867898\pi\)
\(684\) 1.18621e11 0.0207209
\(685\) −5.24214e12 + 9.07965e12i −0.909706 + 1.57566i
\(686\) −5.93956e12 −1.02399
\(687\) −3.00394e12 −0.514501
\(688\) 5.22072e12 + 4.59782e12i 0.888346 + 0.782355i
\(689\) −2.25165e12 −0.380640
\(690\) −1.56325e13 −2.62548
\(691\) −2.60585e12 + 4.51347e12i −0.434809 + 0.753112i −0.997280 0.0737054i \(-0.976518\pi\)
0.562471 + 0.826817i \(0.309851\pi\)
\(692\) 6.12844e11 0.101595
\(693\) 6.33284e11 1.09688e12i 0.104304 0.180659i
\(694\) −7.31456e11 + 1.26692e12i −0.119694 + 0.207315i
\(695\) 3.20215e12 + 5.54628e12i 0.520607 + 0.901717i
\(696\) −2.39254e12 −0.386472
\(697\) −5.31991e12 9.21436e12i −0.853802 1.47883i
\(698\) −2.22911e12 + 3.86093e12i −0.355453 + 0.615662i
\(699\) 2.52655e12 0.400295
\(700\) 7.77797e11 1.34718e12i 0.122440 0.212073i
\(701\) 2.32315e12 + 4.02381e12i 0.363368 + 0.629371i 0.988513 0.151137i \(-0.0482936\pi\)
−0.625145 + 0.780508i \(0.714960\pi\)
\(702\) −9.65506e11 1.67231e12i −0.150051 0.259896i
\(703\) −3.59694e11 6.23008e11i −0.0555436 0.0962044i
\(704\) −8.19774e12 −1.25782
\(705\) 4.34136e12 + 7.51945e12i 0.661873 + 1.14640i
\(706\) −5.95691e12 1.03177e13i −0.902402 1.56301i
\(707\) 2.50112e12 4.33207e12i 0.376485 0.652091i
\(708\) 6.32394e11 1.09534e12i 0.0945884 0.163832i
\(709\) 3.27619e11 0.0486923 0.0243462 0.999704i \(-0.492250\pi\)
0.0243462 + 0.999704i \(0.492250\pi\)
\(710\) 7.27775e12 1.07482
\(711\) 8.22638e11 1.42485e12i 0.120725 0.209101i
\(712\) −1.96757e11 + 3.40793e11i −0.0286926 + 0.0496971i
\(713\) −3.07514e11 5.32629e11i −0.0445617 0.0771831i
\(714\) 3.36356e12 + 5.82586e12i 0.484348 + 0.838915i
\(715\) 5.72023e12 0.818533
\(716\) 8.12555e11 + 1.40739e12i 0.115543 + 0.200127i
\(717\) −2.40135e12 4.15927e12i −0.339328 0.587733i
\(718\) −8.85625e11 1.53395e12i −0.124363 0.215402i
\(719\) 2.14255e12 3.71100e12i 0.298986 0.517859i −0.676918 0.736058i \(-0.736685\pi\)
0.975904 + 0.218199i \(0.0700183\pi\)
\(720\) −2.92918e12 −0.406209
\(721\) −2.44962e12 + 4.24287e12i −0.337590 + 0.584724i
\(722\) −3.34307e12 5.79036e12i −0.457855 0.793028i
\(723\) −1.90071e12 −0.258699
\(724\) 3.78025e10 + 6.54758e10i 0.00511325 + 0.00885641i
\(725\) 3.58630e12 6.21165e12i 0.482087 0.834999i
\(726\) 1.00582e13 1.74214e13i 1.34371 2.32738i
\(727\) −7.89368e12 −1.04803 −0.524016 0.851708i \(-0.675567\pi\)
−0.524016 + 0.851708i \(0.675567\pi\)
\(728\) 4.30363e11 7.45411e11i 0.0567864 0.0983569i
\(729\) 8.48089e12 1.11216
\(730\) 1.29959e13 1.69377
\(731\) 2.75982e12 1.37243e13i 0.357481 1.77772i
\(732\) 6.03837e11 0.0777356
\(733\) 1.64619e12 0.210626 0.105313 0.994439i \(-0.466416\pi\)
0.105313 + 0.994439i \(0.466416\pi\)
\(734\) −1.14538e12 + 1.98386e12i −0.145652 + 0.252277i
\(735\) 8.54318e12 1.07976
\(736\) 2.93838e12 5.08943e12i 0.369112 0.639321i
\(737\) −1.22946e13 + 2.12949e13i −1.53501 + 2.65872i
\(738\) 8.55052e11 + 1.48099e12i 0.106106 + 0.183780i
\(739\) 2.50827e12 0.309367 0.154683 0.987964i \(-0.450564\pi\)
0.154683 + 0.987964i \(0.450564\pi\)
\(740\) −4.41572e11 7.64826e11i −0.0541326 0.0937605i
\(741\) 3.88280e11 6.72521e11i 0.0473111 0.0819453i
\(742\) −7.49731e12 −0.908004
\(743\) −2.67132e12 + 4.62686e12i −0.321571 + 0.556977i −0.980812 0.194954i \(-0.937544\pi\)
0.659242 + 0.751931i \(0.270877\pi\)
\(744\) 1.80806e11 + 3.13165e11i 0.0216339 + 0.0374710i
\(745\) −7.02609e12 1.21695e13i −0.835623 1.44734i
\(746\) 5.55095e12 + 9.61453e12i 0.656210 + 1.13659i
\(747\) −5.66260e11 −0.0665385
\(748\) −3.62172e12 6.27300e12i −0.423017 0.732686i
\(749\) −3.66897e12 6.35484e12i −0.425967 0.737796i
\(750\) −6.45457e12 + 1.11796e13i −0.744889 + 1.29019i
\(751\) 7.18280e12 1.24410e13i 0.823975 1.42717i −0.0787249 0.996896i \(-0.525085\pi\)
0.902700 0.430270i \(-0.141582\pi\)
\(752\) −9.06311e12 −1.03347
\(753\) 2.48093e12 0.281214
\(754\) −6.35555e11 + 1.10081e12i −0.0716114 + 0.124035i
\(755\) 7.51975e12 1.30246e13i 0.842253 1.45882i
\(756\) −6.27627e11 1.08708e12i −0.0698801 0.121036i
\(757\) −5.70193e12 9.87603e12i −0.631089 1.09308i −0.987330 0.158683i \(-0.949275\pi\)
0.356241 0.934394i \(-0.384058\pi\)
\(758\) −1.31785e13 −1.44995
\(759\) −1.21996e13 2.11303e13i −1.33431 2.31109i
\(760\) −2.78472e12 4.82328e12i −0.302775 0.524422i
\(761\) −2.76116e12 4.78247e12i −0.298442 0.516918i 0.677337 0.735673i \(-0.263134\pi\)
−0.975780 + 0.218755i \(0.929800\pi\)
\(762\) −2.54665e12 + 4.41093e12i −0.273636 + 0.473951i
\(763\) 5.36402e12