Properties

Label 43.11.d.a.37.34
Level 43
Weight 11
Character 43.37
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 11 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(27.3203618650\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 37.34
Character \(\chi\) \(=\) 43.37
Dual form 43.11.d.a.7.3

$q$-expansion

\(f(q)\) \(=\) \(q+58.5530i q^{2} +(358.847 + 207.180i) q^{3} -2404.46 q^{4} +(4070.35 + 2350.02i) q^{5} +(-12131.0 + 21011.6i) q^{6} +(-22979.0 + 13266.9i) q^{7} -80829.9i q^{8} +(56322.9 + 97554.1i) q^{9} +O(q^{10})\) \(q+58.5530i q^{2} +(358.847 + 207.180i) q^{3} -2404.46 q^{4} +(4070.35 + 2350.02i) q^{5} +(-12131.0 + 21011.6i) q^{6} +(-22979.0 + 13266.9i) q^{7} -80829.9i q^{8} +(56322.9 + 97554.1i) q^{9} +(-137601. + 238331. i) q^{10} +265889. q^{11} +(-862832. - 498156. i) q^{12} +(-13714.2 - 23753.7i) q^{13} +(-776820. - 1.34549e6i) q^{14} +(973755. + 1.68659e6i) q^{15} +2.27067e6 q^{16} +(152213. + 263640. i) q^{17} +(-5.71209e6 + 3.29787e6i) q^{18} +(-1.96177e6 - 1.13263e6i) q^{19} +(-9.78698e6 - 5.65051e6i) q^{20} -1.09946e7 q^{21} +1.55686e7i q^{22} +(568445. - 984576. i) q^{23} +(1.67464e7 - 2.90056e7i) q^{24} +(6.16235e6 + 1.06735e7i) q^{25} +(1.39085e6 - 803009. i) q^{26} +2.22084e7i q^{27} +(5.52521e7 - 3.18998e7i) q^{28} +(9.21238e6 - 5.31877e6i) q^{29} +(-9.87551e7 + 5.70163e7i) q^{30} +(2.30786e7 - 3.99734e7i) q^{31} +5.01849e7i q^{32} +(9.54133e7 + 5.50869e7i) q^{33} +(-1.54369e7 + 8.91252e6i) q^{34} -1.24710e8 q^{35} +(-1.35426e8 - 2.34565e8i) q^{36} +(3.09274e7 + 1.78560e7i) q^{37} +(6.63187e7 - 1.14867e8i) q^{38} -1.13653e7i q^{39} +(1.89952e8 - 3.29006e8i) q^{40} -2.78843e7 q^{41} -6.43767e8i q^{42} +(1.33679e8 + 6.11669e7i) q^{43} -6.39318e8 q^{44} +5.29439e8i q^{45} +(5.76499e7 + 3.32842e7i) q^{46} -1.13451e8 q^{47} +(8.14824e8 + 4.70439e8i) q^{48} +(2.10786e8 - 3.65092e8i) q^{49} +(-6.24966e8 + 3.60824e8i) q^{50} +1.26142e8i q^{51} +(3.29752e7 + 5.71148e7i) q^{52} +(1.05601e8 - 1.82907e8i) q^{53} -1.30037e9 q^{54} +(1.08226e9 + 6.24843e8i) q^{55} +(1.07237e9 + 1.85739e9i) q^{56} +(-4.69316e8 - 8.12878e8i) q^{57} +(3.11430e8 + 5.39413e8i) q^{58} +4.39483e8 q^{59} +(-2.34135e9 - 4.05534e9i) q^{60} +(-3.22959e8 + 1.86460e8i) q^{61} +(2.34056e9 + 1.35132e9i) q^{62} +(-2.58849e9 - 1.49446e9i) q^{63} -6.13309e8 q^{64} -1.28915e8i q^{65} +(-3.22550e9 + 5.58674e9i) q^{66} +(-4.08051e8 + 7.06766e8i) q^{67} +(-3.65989e8 - 6.33912e8i) q^{68} +(4.07969e8 - 2.35541e8i) q^{69} -7.30216e9i q^{70} +(1.79664e9 - 1.03729e9i) q^{71} +(7.88529e9 - 4.55257e9i) q^{72} +(-2.67649e9 + 1.54527e9i) q^{73} +(-1.04552e9 + 1.81090e9i) q^{74} +5.10687e9i q^{75} +(4.71698e9 + 2.72335e9i) q^{76} +(-6.10986e9 + 3.52753e9i) q^{77} +6.65470e8 q^{78} +(1.38786e9 + 2.40384e9i) q^{79} +(9.24243e9 + 5.33612e9i) q^{80} +(-1.27533e9 + 2.20893e9i) q^{81} -1.63271e9i q^{82} +(-6.17625e8 + 1.06976e9i) q^{83} +2.64360e10 q^{84} +1.43081e9i q^{85} +(-3.58151e9 + 7.82731e9i) q^{86} +4.40778e9 q^{87} -2.14918e10i q^{88} +(-8.45757e9 - 4.88298e9i) q^{89} -3.10002e10 q^{90} +(6.30279e8 + 3.63892e8i) q^{91} +(-1.36680e9 + 2.36737e9i) q^{92} +(1.65634e10 - 9.56288e9i) q^{93} -6.64292e9i q^{94} +(-5.32338e9 - 9.22037e9i) q^{95} +(-1.03973e10 + 1.80087e10i) q^{96} -1.51315e10 q^{97} +(2.13773e10 + 1.23422e10i) q^{98} +(1.49756e10 + 2.59385e10i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} + O(q^{10}) \) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} - 127061q^{10} + 521524q^{11} - 606618q^{12} + 796742q^{13} - 865794q^{14} - 433513q^{15} + 22423366q^{16} - 1768471q^{17} - 11957547q^{18} - 122844q^{19} + 419841q^{20} - 26778860q^{21} + 16414886q^{23} + 8684578q^{24} + 70516989q^{25} + 3069q^{26} - 97624092q^{28} + 118701393q^{29} - 1455921q^{30} + 10824883q^{31} + 315141798q^{33} + 47529561q^{34} - 333788722q^{35} - 597728908q^{36} - 169881246q^{37} - 88887452q^{38} + 570788831q^{40} - 543049070q^{41} + 408159179q^{43} - 754130886q^{44} + 270181896q^{46} + 348527658q^{47} + 175039227q^{48} + 781091547q^{49} - 663244398q^{50} - 1853993086q^{52} + 219922736q^{53} + 3104867360q^{54} + 2154394182q^{55} + 2010912675q^{56} + 349107351q^{57} + 2023447828q^{58} + 2247595680q^{59} - 2906780465q^{60} + 508093974q^{61} - 3451752063q^{62} + 158921973q^{63} - 13473879716q^{64} + 1277847051q^{66} - 2812410281q^{67} + 13614613118q^{68} - 5113655829q^{69} + 2418191196q^{71} + 26243329290q^{72} - 6537901611q^{73} - 2632816966q^{74} - 10170994206q^{76} - 16936463889q^{77} - 24146069696q^{78} + 5397136602q^{79} + 7242149661q^{80} - 15745886176q^{81} + 4998656042q^{83} + 44726677232q^{84} - 27688564866q^{86} + 37895576172q^{87} - 12151857357q^{89} - 96024912764q^{90} + 36633770214q^{91} - 31643971023q^{92} + 59768940153q^{93} - 19802964089q^{95} - 3289705262q^{96} - 40329658574q^{97} + 19243888221q^{98} + 18506221111q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 58.5530i 1.82978i 0.403701 + 0.914891i \(0.367724\pi\)
−0.403701 + 0.914891i \(0.632276\pi\)
\(3\) 358.847 + 207.180i 1.47674 + 0.852594i 0.999655 0.0262655i \(-0.00836154\pi\)
0.477081 + 0.878859i \(0.341695\pi\)
\(4\) −2404.46 −2.34810
\(5\) 4070.35 + 2350.02i 1.30251 + 0.752006i 0.980834 0.194844i \(-0.0624200\pi\)
0.321678 + 0.946849i \(0.395753\pi\)
\(6\) −12131.0 + 21011.6i −1.56006 + 2.70210i
\(7\) −22979.0 + 13266.9i −1.36723 + 0.789370i −0.990573 0.136983i \(-0.956259\pi\)
−0.376656 + 0.926353i \(0.622926\pi\)
\(8\) 80829.9i 2.46673i
\(9\) 56322.9 + 97554.1i 0.953833 + 1.65209i
\(10\) −137601. + 238331.i −1.37601 + 2.38331i
\(11\) 265889. 1.65096 0.825480 0.564432i \(-0.190905\pi\)
0.825480 + 0.564432i \(0.190905\pi\)
\(12\) −862832. 498156.i −3.46753 2.00198i
\(13\) −13714.2 23753.7i −0.0369364 0.0639757i 0.846966 0.531647i \(-0.178427\pi\)
−0.883903 + 0.467671i \(0.845093\pi\)
\(14\) −776820. 1.34549e6i −1.44438 2.50173i
\(15\) 973755. + 1.68659e6i 1.28231 + 2.22103i
\(16\) 2.27067e6 2.16548
\(17\) 152213. + 263640.i 0.107203 + 0.185681i 0.914636 0.404278i \(-0.132477\pi\)
−0.807433 + 0.589959i \(0.799144\pi\)
\(18\) −5.71209e6 + 3.29787e6i −3.02296 + 1.74531i
\(19\) −1.96177e6 1.13263e6i −0.792281 0.457424i 0.0484841 0.998824i \(-0.484561\pi\)
−0.840765 + 0.541400i \(0.817894\pi\)
\(20\) −9.78698e6 5.65051e6i −3.05843 1.76579i
\(21\) −1.09946e7 −2.69205
\(22\) 1.55686e7i 3.02090i
\(23\) 568445. 984576.i 0.0883180 0.152971i −0.818482 0.574532i \(-0.805184\pi\)
0.906800 + 0.421561i \(0.138517\pi\)
\(24\) 1.67464e7 2.90056e7i 2.10312 3.64271i
\(25\) 6.16235e6 + 1.06735e7i 0.631025 + 1.09297i
\(26\) 1.39085e6 803009.i 0.117062 0.0675855i
\(27\) 2.22084e7i 1.54774i
\(28\) 5.52521e7 3.18998e7i 3.21039 1.85352i
\(29\) 9.21238e6 5.31877e6i 0.449140 0.259311i −0.258327 0.966058i \(-0.583171\pi\)
0.707467 + 0.706746i \(0.249838\pi\)
\(30\) −9.87551e7 + 5.70163e7i −4.06400 + 2.34635i
\(31\) 2.30786e7 3.99734e7i 0.806124 1.39625i −0.109406 0.993997i \(-0.534895\pi\)
0.915530 0.402250i \(-0.131772\pi\)
\(32\) 5.01849e7i 1.49563i
\(33\) 9.54133e7 + 5.50869e7i 2.43803 + 1.40760i
\(34\) −1.54369e7 + 8.91252e6i −0.339755 + 0.196158i
\(35\) −1.24710e8 −2.37444
\(36\) −1.35426e8 2.34565e8i −2.23970 3.87927i
\(37\) 3.09274e7 + 1.78560e7i 0.446000 + 0.257498i 0.706140 0.708073i \(-0.250435\pi\)
−0.260139 + 0.965571i \(0.583768\pi\)
\(38\) 6.63187e7 1.14867e8i 0.836985 1.44970i
\(39\) 1.13653e7i 0.125967i
\(40\) 1.89952e8 3.29006e8i 1.85500 3.21295i
\(41\) −2.78843e7 −0.240680 −0.120340 0.992733i \(-0.538398\pi\)
−0.120340 + 0.992733i \(0.538398\pi\)
\(42\) 6.43767e8i 4.92586i
\(43\) 1.33679e8 + 6.11669e7i 0.909329 + 0.416077i
\(44\) −6.39318e8 −3.87662
\(45\) 5.29439e8i 2.86915i
\(46\) 5.76499e7 + 3.32842e7i 0.279904 + 0.161603i
\(47\) −1.13451e8 −0.494675 −0.247338 0.968929i \(-0.579556\pi\)
−0.247338 + 0.968929i \(0.579556\pi\)
\(48\) 8.14824e8 + 4.70439e8i 3.19784 + 1.84628i
\(49\) 2.10786e8 3.65092e8i 0.746211 1.29248i
\(50\) −6.24966e8 + 3.60824e8i −1.99989 + 1.15464i
\(51\) 1.26142e8i 0.365602i
\(52\) 3.29752e7 + 5.71148e7i 0.0867304 + 0.150221i
\(53\) 1.05601e8 1.82907e8i 0.252517 0.437372i −0.711701 0.702482i \(-0.752075\pi\)
0.964218 + 0.265111i \(0.0854084\pi\)
\(54\) −1.30037e9 −2.83203
\(55\) 1.08226e9 + 6.24843e8i 2.15039 + 1.24153i
\(56\) 1.07237e9 + 1.85739e9i 1.94717 + 3.37259i
\(57\) −4.69316e8 8.12878e8i −0.779993 1.35099i
\(58\) 3.11430e8 + 5.39413e8i 0.474483 + 0.821829i
\(59\) 4.39483e8 0.614727 0.307364 0.951592i \(-0.400553\pi\)
0.307364 + 0.951592i \(0.400553\pi\)
\(60\) −2.34135e9 4.05534e9i −3.01100 5.21520i
\(61\) −3.22959e8 + 1.86460e8i −0.382382 + 0.220768i −0.678854 0.734273i \(-0.737523\pi\)
0.296472 + 0.955042i \(0.404190\pi\)
\(62\) 2.34056e9 + 1.35132e9i 2.55483 + 1.47503i
\(63\) −2.58849e9 1.49446e9i −2.60822 1.50585i
\(64\) −6.13309e8 −0.571189
\(65\) 1.28915e8i 0.111105i
\(66\) −3.22550e9 + 5.58674e9i −2.57560 + 4.46106i
\(67\) −4.08051e8 + 7.06766e8i −0.302232 + 0.523482i −0.976641 0.214876i \(-0.931065\pi\)
0.674409 + 0.738358i \(0.264399\pi\)
\(68\) −3.65989e8 6.33912e8i −0.251723 0.435998i
\(69\) 4.07969e8 2.35541e8i 0.260845 0.150599i
\(70\) 7.30216e9i 4.34471i
\(71\) 1.79664e9 1.03729e9i 0.995794 0.574922i 0.0887930 0.996050i \(-0.471699\pi\)
0.907001 + 0.421128i \(0.138366\pi\)
\(72\) 7.88529e9 4.55257e9i 4.07526 2.35285i
\(73\) −2.67649e9 + 1.54527e9i −1.29107 + 0.745402i −0.978845 0.204605i \(-0.934409\pi\)
−0.312229 + 0.950007i \(0.601076\pi\)
\(74\) −1.04552e9 + 1.81090e9i −0.471166 + 0.816084i
\(75\) 5.10687e9i 2.15203i
\(76\) 4.71698e9 + 2.72335e9i 1.86036 + 1.07408i
\(77\) −6.10986e9 + 3.52753e9i −2.25724 + 1.30322i
\(78\) 6.65470e8 0.230492
\(79\) 1.38786e9 + 2.40384e9i 0.451034 + 0.781213i 0.998451 0.0556468i \(-0.0177221\pi\)
−0.547417 + 0.836860i \(0.684389\pi\)
\(80\) 9.24243e9 + 5.33612e9i 2.82057 + 1.62845i
\(81\) −1.27533e9 + 2.20893e9i −0.365761 + 0.633516i
\(82\) 1.63271e9i 0.440392i
\(83\) −6.17625e8 + 1.06976e9i −0.156796 + 0.271578i −0.933712 0.358026i \(-0.883450\pi\)
0.776916 + 0.629605i \(0.216783\pi\)
\(84\) 2.64360e10 6.32121
\(85\) 1.43081e9i 0.322469i
\(86\) −3.58151e9 + 7.82731e9i −0.761331 + 1.66387i
\(87\) 4.40778e9 0.884349
\(88\) 2.14918e10i 4.07248i
\(89\) −8.45757e9 4.88298e9i −1.51459 0.874450i −0.999854 0.0171027i \(-0.994556\pi\)
−0.514738 0.857347i \(-0.672111\pi\)
\(90\) −3.10002e10 −5.24992
\(91\) 6.30279e8 + 3.63892e8i 0.101001 + 0.0583129i
\(92\) −1.36680e9 + 2.36737e9i −0.207380 + 0.359192i
\(93\) 1.65634e10 9.56288e9i 2.38086 1.37459i
\(94\) 6.64292e9i 0.905148i
\(95\) −5.32338e9 9.22037e9i −0.687970 1.19160i
\(96\) −1.03973e10 + 1.80087e10i −1.27516 + 2.20865i
\(97\) −1.51315e10 −1.76208 −0.881038 0.473045i \(-0.843155\pi\)
−0.881038 + 0.473045i \(0.843155\pi\)
\(98\) 2.13773e10 + 1.23422e10i 2.36495 + 1.36540i
\(99\) 1.49756e10 + 2.59385e10i 1.57474 + 2.72753i
\(100\) −1.48171e10 2.56640e10i −1.48171 2.56640i
\(101\) 7.74194e9 + 1.34094e10i 0.736619 + 1.27586i 0.954009 + 0.299777i \(0.0969123\pi\)
−0.217390 + 0.976085i \(0.569754\pi\)
\(102\) −7.38599e9 −0.668972
\(103\) 3.37323e9 + 5.84260e9i 0.290978 + 0.503988i 0.974041 0.226371i \(-0.0726862\pi\)
−0.683064 + 0.730359i \(0.739353\pi\)
\(104\) −1.92001e9 + 1.10852e9i −0.157811 + 0.0911122i
\(105\) −4.47519e10 2.58375e10i −3.50643 2.02444i
\(106\) 1.07097e10 + 6.18328e9i 0.800295 + 0.462050i
\(107\) −1.36781e10 −0.975229 −0.487615 0.873059i \(-0.662133\pi\)
−0.487615 + 0.873059i \(0.662133\pi\)
\(108\) 5.33991e10i 3.63425i
\(109\) 6.65992e9 1.15353e10i 0.432849 0.749717i −0.564268 0.825592i \(-0.690842\pi\)
0.997117 + 0.0758747i \(0.0241749\pi\)
\(110\) −3.65864e10 + 6.33696e10i −2.27173 + 3.93475i
\(111\) 7.39881e9 + 1.28151e10i 0.439083 + 0.760515i
\(112\) −5.21778e10 + 3.01249e10i −2.96071 + 1.70937i
\(113\) 2.57338e10i 1.39673i −0.715742 0.698365i \(-0.753911\pi\)
0.715742 0.698365i \(-0.246089\pi\)
\(114\) 4.75965e10 2.74798e10i 2.47201 1.42722i
\(115\) 4.62754e9 2.67171e9i 0.230071 0.132831i
\(116\) −2.21508e10 + 1.27888e10i −1.05463 + 0.608889i
\(117\) 1.54485e9 2.67575e9i 0.0704622 0.122044i
\(118\) 2.57331e10i 1.12482i
\(119\) −6.99540e9 4.03880e9i −0.293142 0.169246i
\(120\) 1.36327e11 7.87085e10i 5.47868 3.16312i
\(121\) 4.47593e10 1.72567
\(122\) −1.09178e10 1.89102e10i −0.403958 0.699676i
\(123\) −1.00062e10 5.77707e9i −0.355421 0.205202i
\(124\) −5.54916e10 + 9.61143e10i −1.89286 + 3.27853i
\(125\) 1.20277e10i 0.394125i
\(126\) 8.75054e10 1.51564e11i 2.75539 4.77247i
\(127\) −3.44234e10 −1.04192 −0.520960 0.853581i \(-0.674426\pi\)
−0.520960 + 0.853581i \(0.674426\pi\)
\(128\) 1.54782e10i 0.450476i
\(129\) 3.52977e10 + 4.96452e10i 0.988094 + 1.38972i
\(130\) 7.54834e9 0.203299
\(131\) 1.42602e9i 0.0369633i −0.999829 0.0184816i \(-0.994117\pi\)
0.999829 0.0184816i \(-0.00588322\pi\)
\(132\) −2.29417e11 1.32454e11i −5.72474 3.30518i
\(133\) 6.01060e10 1.44431
\(134\) −4.13833e10 2.38926e10i −0.957858 0.553019i
\(135\) −5.21901e10 + 9.03958e10i −1.16391 + 2.01595i
\(136\) 2.13100e10 1.23033e10i 0.458025 0.264441i
\(137\) 1.82351e10i 0.377837i −0.981993 0.188919i \(-0.939502\pi\)
0.981993 0.188919i \(-0.0604982\pi\)
\(138\) 1.37917e10 + 2.38878e10i 0.275563 + 0.477289i
\(139\) −2.98866e10 + 5.17651e10i −0.575974 + 0.997615i 0.419962 + 0.907542i \(0.362044\pi\)
−0.995935 + 0.0900736i \(0.971290\pi\)
\(140\) 2.99860e11 5.57544
\(141\) −4.07116e10 2.35049e10i −0.730505 0.421757i
\(142\) 6.07365e10 + 1.05199e11i 1.05198 + 1.82209i
\(143\) −3.64645e9 6.31584e9i −0.0609804 0.105621i
\(144\) 1.27891e11 + 2.21513e11i 2.06551 + 3.57756i
\(145\) 4.99968e10 0.780014
\(146\) −9.04803e10 1.56716e11i −1.36392 2.36238i
\(147\) 1.51280e11 8.73415e10i 2.20391 1.27243i
\(148\) −7.43637e10 4.29339e10i −1.04725 0.604633i
\(149\) 6.21617e10 + 3.58891e10i 0.846432 + 0.488687i 0.859445 0.511228i \(-0.170809\pi\)
−0.0130137 + 0.999915i \(0.504143\pi\)
\(150\) −2.99023e11 −3.93775
\(151\) 6.99822e10i 0.891462i 0.895167 + 0.445731i \(0.147056\pi\)
−0.895167 + 0.445731i \(0.852944\pi\)
\(152\) −9.15501e10 + 1.58569e11i −1.12834 + 1.95435i
\(153\) −1.71461e10 + 2.96979e10i −0.204507 + 0.354217i
\(154\) −2.06548e11 3.57751e11i −2.38461 4.13026i
\(155\) 1.87876e11 1.08470e11i 2.09997 1.21242i
\(156\) 2.73273e10i 0.295783i
\(157\) −8.44822e10 + 4.87758e10i −0.885660 + 0.511336i −0.872520 0.488578i \(-0.837516\pi\)
−0.0131394 + 0.999914i \(0.504183\pi\)
\(158\) −1.40752e11 + 8.12632e10i −1.42945 + 0.825293i
\(159\) 7.57894e10 4.37570e10i 0.745801 0.430588i
\(160\) −1.17935e11 + 2.04270e11i −1.12472 + 1.94807i
\(161\) 3.01661e10i 0.278863i
\(162\) −1.29340e11 7.46743e10i −1.15920 0.669262i
\(163\) 1.48355e10 8.56529e9i 0.128933 0.0744396i −0.434146 0.900842i \(-0.642950\pi\)
0.563079 + 0.826403i \(0.309617\pi\)
\(164\) 6.70465e10 0.565141
\(165\) 2.58910e11 + 4.48446e11i 2.11704 + 3.66682i
\(166\) −6.26376e10 3.61638e10i −0.496929 0.286902i
\(167\) −2.66532e9 + 4.61647e9i −0.0205195 + 0.0355408i −0.876103 0.482124i \(-0.839865\pi\)
0.855583 + 0.517665i \(0.173199\pi\)
\(168\) 8.88693e11i 6.64057i
\(169\) 6.85531e10 1.18737e11i 0.497271 0.861299i
\(170\) −8.37783e10 −0.590047
\(171\) 2.55171e11i 1.74522i
\(172\) −3.21426e11 1.47073e11i −2.13520 0.976992i
\(173\) 1.99316e10 0.128621 0.0643106 0.997930i \(-0.479515\pi\)
0.0643106 + 0.997930i \(0.479515\pi\)
\(174\) 2.58089e11i 1.61817i
\(175\) −2.83210e11 1.63511e11i −1.72551 0.996224i
\(176\) 6.03746e11 3.57512
\(177\) 1.57707e11 + 9.10523e10i 0.907790 + 0.524113i
\(178\) 2.85913e11 4.95216e11i 1.60005 2.77137i
\(179\) 1.53584e11 8.86716e10i 0.835757 0.482525i −0.0200626 0.999799i \(-0.506387\pi\)
0.855820 + 0.517274i \(0.173053\pi\)
\(180\) 1.27301e12i 6.73706i
\(181\) 7.82896e10 + 1.35602e11i 0.403006 + 0.698026i 0.994087 0.108586i \(-0.0346322\pi\)
−0.591081 + 0.806612i \(0.701299\pi\)
\(182\) −2.13070e10 + 3.69047e10i −0.106700 + 0.184810i
\(183\) −1.54524e11 −0.752903
\(184\) −7.95832e10 4.59474e10i −0.377339 0.217857i
\(185\) 8.39237e10 + 1.45360e11i 0.387281 + 0.670790i
\(186\) 5.59936e11 + 9.69837e11i 2.51520 + 4.35646i
\(187\) 4.04716e10 + 7.00989e10i 0.176988 + 0.306551i
\(188\) 2.72789e11 1.16155
\(189\) −2.94637e11 5.10327e11i −1.22174 2.11612i
\(190\) 5.39880e11 3.11700e11i 2.18037 1.25884i
\(191\) −6.41419e10 3.70323e10i −0.252333 0.145685i 0.368499 0.929628i \(-0.379872\pi\)
−0.620832 + 0.783943i \(0.713205\pi\)
\(192\) −2.20084e11 1.27066e11i −0.843495 0.486992i
\(193\) 1.38145e11 0.515880 0.257940 0.966161i \(-0.416956\pi\)
0.257940 + 0.966161i \(0.416956\pi\)
\(194\) 8.85998e11i 3.22422i
\(195\) 2.67086e10 4.62606e10i 0.0947278 0.164073i
\(196\) −5.06826e11 + 8.77849e11i −1.75218 + 3.03486i
\(197\) −2.93642e10 5.08602e10i −0.0989661 0.171414i 0.812291 0.583253i \(-0.198220\pi\)
−0.911257 + 0.411838i \(0.864887\pi\)
\(198\) −1.51878e12 + 8.76867e11i −4.99078 + 2.88143i
\(199\) 5.91288e11i 1.89467i 0.320242 + 0.947336i \(0.396236\pi\)
−0.320242 + 0.947336i \(0.603764\pi\)
\(200\) 8.62738e11 4.98102e11i 2.69606 1.55657i
\(201\) −2.92856e11 + 1.69080e11i −0.892635 + 0.515363i
\(202\) −7.85163e11 + 4.53314e11i −2.33455 + 1.34785i
\(203\) −1.41128e11 + 2.44440e11i −0.409385 + 0.709076i
\(204\) 3.03303e11i 0.858471i
\(205\) −1.13499e11 6.55285e10i −0.313488 0.180993i
\(206\) −3.42102e11 + 1.97513e11i −0.922188 + 0.532426i
\(207\) 1.28066e11 0.336962
\(208\) −3.11405e10 5.39369e10i −0.0799850 0.138538i
\(209\) −5.21611e11 3.01152e11i −1.30802 0.755188i
\(210\) 1.51286e12 2.62036e12i 3.70428 6.41600i
\(211\) 7.08997e11i 1.69524i −0.530601 0.847622i \(-0.678034\pi\)
0.530601 0.847622i \(-0.321966\pi\)
\(212\) −2.53914e11 + 4.39792e11i −0.592935 + 1.02699i
\(213\) 8.59625e11 1.96070
\(214\) 8.00894e11i 1.78446i
\(215\) 4.00377e11 + 5.63119e11i 0.871520 + 1.22577i
\(216\) 1.79510e12 3.81786
\(217\) 1.22473e12i 2.54532i
\(218\) 6.75428e11 + 3.89959e11i 1.37182 + 0.792020i
\(219\) −1.28060e12 −2.54210
\(220\) −2.60225e12 1.50241e12i −5.04934 2.91524i
\(221\) 4.17496e9 7.23124e9i 0.00791937 0.0137168i
\(222\) −7.50364e11 + 4.33223e11i −1.39158 + 0.803427i
\(223\) 5.78319e11i 1.04868i −0.851509 0.524341i \(-0.824312\pi\)
0.851509 0.524341i \(-0.175688\pi\)
\(224\) −6.65801e11 1.15320e12i −1.18060 2.04487i
\(225\) −6.94162e11 + 1.20232e12i −1.20378 + 2.08501i
\(226\) 1.50679e12 2.55571
\(227\) 2.58581e11 + 1.49292e11i 0.429009 + 0.247689i 0.698925 0.715195i \(-0.253662\pi\)
−0.269915 + 0.962884i \(0.586996\pi\)
\(228\) 1.12845e12 + 1.95453e12i 1.83150 + 3.17226i
\(229\) −1.16748e11 2.02213e11i −0.185383 0.321093i 0.758322 0.651880i \(-0.226019\pi\)
−0.943706 + 0.330786i \(0.892686\pi\)
\(230\) 1.56437e11 + 2.70956e11i 0.243052 + 0.420979i
\(231\) −2.92334e12 −4.44446
\(232\) −4.29916e11 7.44636e11i −0.639652 1.10791i
\(233\) 5.16384e11 2.98134e11i 0.751957 0.434143i −0.0744435 0.997225i \(-0.523718\pi\)
0.826401 + 0.563083i \(0.190385\pi\)
\(234\) 1.56674e11 + 9.04555e10i 0.223314 + 0.128931i
\(235\) −4.61786e11 2.66613e11i −0.644320 0.371999i
\(236\) −1.05672e12 −1.44344
\(237\) 1.15015e12i 1.53819i
\(238\) 2.36484e11 4.09602e11i 0.309682 0.536386i
\(239\) 1.20268e11 2.08311e11i 0.154228 0.267130i −0.778550 0.627583i \(-0.784044\pi\)
0.932778 + 0.360453i \(0.117378\pi\)
\(240\) 2.21108e12 + 3.82970e12i 2.77682 + 4.80959i
\(241\) 8.14332e11 4.70155e11i 1.00165 0.578304i 0.0929148 0.995674i \(-0.470382\pi\)
0.908736 + 0.417370i \(0.137048\pi\)
\(242\) 2.62079e12i 3.15759i
\(243\) 2.20395e11 1.27245e11i 0.260118 0.150179i
\(244\) 7.76540e11 4.48335e11i 0.897872 0.518387i
\(245\) 1.71595e12 9.90702e11i 1.94390 1.12231i
\(246\) 3.38265e11 5.85892e11i 0.375475 0.650342i
\(247\) 6.21323e10i 0.0675823i
\(248\) −3.23104e12 1.86544e12i −3.44417 1.98849i
\(249\) −4.43266e11 + 2.55920e11i −0.463092 + 0.267366i
\(250\) −7.04261e11 −0.721163
\(251\) 8.83410e9 + 1.53011e10i 0.00886734 + 0.0153587i 0.870425 0.492301i \(-0.163844\pi\)
−0.861558 + 0.507660i \(0.830511\pi\)
\(252\) 6.22391e12 + 3.59338e12i 6.12436 + 3.53590i
\(253\) 1.51143e11 2.61787e11i 0.145809 0.252549i
\(254\) 2.01559e12i 1.90649i
\(255\) −2.96436e11 + 5.13442e11i −0.274935 + 0.476201i
\(256\) −1.53433e12 −1.39546
\(257\) 1.33799e12i 1.19340i −0.802463 0.596702i \(-0.796477\pi\)
0.802463 0.596702i \(-0.203523\pi\)
\(258\) −2.90688e12 + 2.06679e12i −2.54289 + 1.80800i
\(259\) −9.47577e11 −0.813047
\(260\) 3.09970e11i 0.260887i
\(261\) 1.03774e12 + 5.99137e11i 0.856809 + 0.494679i
\(262\) 8.34980e10 0.0676347
\(263\) −3.73175e11 2.15453e11i −0.296575 0.171227i 0.344328 0.938849i \(-0.388107\pi\)
−0.640903 + 0.767622i \(0.721440\pi\)
\(264\) 4.45267e12 7.71225e12i 3.47217 6.01397i
\(265\) 8.59668e11 4.96330e11i 0.657812 0.379788i
\(266\) 3.51939e12i 2.64277i
\(267\) −2.02332e12 3.50448e12i −1.49110 2.58266i
\(268\) 9.81142e11 1.69939e12i 0.709672 1.22919i
\(269\) 2.12381e12 1.50784 0.753920 0.656967i \(-0.228161\pi\)
0.753920 + 0.656967i \(0.228161\pi\)
\(270\) −5.29295e12 3.05589e12i −3.68875 2.12970i
\(271\) 1.03418e12 + 1.79126e12i 0.707541 + 1.22550i 0.965767 + 0.259412i \(0.0835288\pi\)
−0.258226 + 0.966085i \(0.583138\pi\)
\(272\) 3.45625e11 + 5.98641e11i 0.232146 + 0.402088i
\(273\) 1.50782e11 + 2.61163e11i 0.0994345 + 0.172226i
\(274\) 1.06772e12 0.691359
\(275\) 1.63850e12 + 2.83796e12i 1.04180 + 1.80444i
\(276\) −9.80945e11 + 5.66349e11i −0.612490 + 0.353621i
\(277\) 3.69043e11 + 2.13067e11i 0.226297 + 0.130652i 0.608862 0.793276i \(-0.291626\pi\)
−0.382566 + 0.923928i \(0.624959\pi\)
\(278\) −3.03100e12 1.74995e12i −1.82542 1.05391i
\(279\) 5.19942e12 3.07563
\(280\) 1.00803e13i 5.85712i
\(281\) 1.43414e11 2.48400e11i 0.0818576 0.141781i −0.822190 0.569213i \(-0.807248\pi\)
0.904048 + 0.427431i \(0.140581\pi\)
\(282\) 1.37628e12 2.38379e12i 0.771724 1.33666i
\(283\) −4.71196e11 8.16135e11i −0.259579 0.449604i 0.706550 0.707663i \(-0.250250\pi\)
−0.966129 + 0.258059i \(0.916917\pi\)
\(284\) −4.31995e12 + 2.49412e12i −2.33823 + 1.34998i
\(285\) 4.41160e12i 2.34624i
\(286\) 3.69812e11 2.13511e11i 0.193264 0.111581i
\(287\) 6.40753e11 3.69939e11i 0.329065 0.189986i
\(288\) −4.89574e12 + 2.82656e12i −2.47090 + 1.42658i
\(289\) 9.61660e11 1.66564e12i 0.477015 0.826214i
\(290\) 2.92746e12i 1.42726i
\(291\) −5.42991e12 3.13496e12i −2.60212 1.50234i
\(292\) 6.43550e12 3.71554e12i 3.03157 1.75028i
\(293\) −3.05780e12 −1.41602 −0.708012 0.706200i \(-0.750408\pi\)
−0.708012 + 0.706200i \(0.750408\pi\)
\(294\) 5.11411e12 + 8.85790e12i 2.32827 + 4.03268i
\(295\) 1.78885e12 + 1.03279e12i 0.800689 + 0.462278i
\(296\) 1.44330e12 2.49986e12i 0.635180 1.10016i
\(297\) 5.90495e12i 2.55525i
\(298\) −2.10142e12 + 3.63976e12i −0.894192 + 1.54879i
\(299\) −3.11831e10 −0.0130486
\(300\) 1.22792e13i 5.05319i
\(301\) −3.88331e12 + 3.67958e11i −1.57170 + 0.148924i
\(302\) −4.09767e12 −1.63118
\(303\) 6.41591e12i 2.51215i
\(304\) −4.45453e12 2.57182e12i −1.71567 0.990542i
\(305\) −1.75274e12 −0.664076
\(306\) −1.73890e12 1.00396e12i −0.648140 0.374204i
\(307\) −1.95956e12 + 3.39405e12i −0.718565 + 1.24459i 0.243003 + 0.970026i \(0.421868\pi\)
−0.961568 + 0.274566i \(0.911466\pi\)
\(308\) 1.46909e13 8.48179e12i 5.30023 3.06009i
\(309\) 2.79547e12i 0.992343i
\(310\) 6.35127e12 + 1.10007e13i 2.21846 + 3.84249i
\(311\) −8.48561e11 + 1.46975e12i −0.291663 + 0.505175i −0.974203 0.225673i \(-0.927542\pi\)
0.682540 + 0.730848i \(0.260875\pi\)
\(312\) −9.18653e11 −0.310727
\(313\) 7.03719e11 + 4.06292e11i 0.234249 + 0.135244i 0.612531 0.790447i \(-0.290152\pi\)
−0.378282 + 0.925690i \(0.623485\pi\)
\(314\) −2.85597e12 4.94669e12i −0.935633 1.62056i
\(315\) −7.02404e12 1.21660e13i −2.26482 3.92279i
\(316\) −3.33704e12 5.77992e12i −1.05907 1.83437i
\(317\) 5.94043e12 1.85576 0.927879 0.372882i \(-0.121630\pi\)
0.927879 + 0.372882i \(0.121630\pi\)
\(318\) 2.56211e12 + 4.43770e12i 0.787883 + 1.36465i
\(319\) 2.44947e12 1.41420e12i 0.741512 0.428112i
\(320\) −2.49638e12 1.44129e12i −0.743980 0.429537i
\(321\) −4.90834e12 2.83383e12i −1.44016 0.831475i
\(322\) −1.76632e12 −0.510258
\(323\) 6.89600e11i 0.196148i
\(324\) 3.06647e12 5.31129e12i 0.858843 1.48756i
\(325\) 1.69024e11 2.92757e11i 0.0466155 0.0807404i
\(326\) 5.01523e11 + 8.68664e11i 0.136208 + 0.235920i
\(327\) 4.77978e12 2.75961e12i 1.27841 0.738089i
\(328\) 2.25388e12i 0.593693i
\(329\) 2.60700e12 1.50515e12i 0.676335 0.390482i
\(330\) −2.62579e13 + 1.51600e13i −6.70949 + 3.87373i
\(331\) 5.67691e11 3.27757e11i 0.142880 0.0824919i −0.426856 0.904320i \(-0.640379\pi\)
0.569736 + 0.821828i \(0.307045\pi\)
\(332\) 1.48505e12 2.57219e12i 0.368173 0.637694i
\(333\) 4.02280e12i 0.982442i
\(334\) −2.70308e11 1.56063e11i −0.0650320 0.0375462i
\(335\) −3.32182e12 + 1.91786e12i −0.787322 + 0.454561i
\(336\) −2.49651e13 −5.82958
\(337\) −1.55580e12 2.69472e12i −0.357935 0.619962i 0.629681 0.776854i \(-0.283186\pi\)
−0.987616 + 0.156892i \(0.949852\pi\)
\(338\) 6.95244e12 + 4.01399e12i 1.57599 + 0.909898i
\(339\) 5.33154e12 9.23451e12i 1.19084 2.06260i
\(340\) 3.44032e12i 0.757189i
\(341\) 6.13635e12 1.06285e13i 1.33088 2.30515i
\(342\) 1.49410e13 3.19338
\(343\) 3.69079e12i 0.777407i
\(344\) 4.94411e12 1.08053e13i 1.02635 2.24307i
\(345\) 2.21410e12 0.453005
\(346\) 1.16706e12i 0.235349i
\(347\) −5.07273e12 2.92874e12i −1.00831 0.582149i −0.0976145 0.995224i \(-0.531121\pi\)
−0.910697 + 0.413076i \(0.864455\pi\)
\(348\) −1.05983e13 −2.07654
\(349\) 6.72655e12 + 3.88357e12i 1.29917 + 0.750075i 0.980260 0.197711i \(-0.0633509\pi\)
0.318907 + 0.947786i \(0.396684\pi\)
\(350\) 9.57407e12 1.65828e13i 1.82287 3.15731i
\(351\) 5.27531e11 3.04570e11i 0.0990177 0.0571679i
\(352\) 1.33436e13i 2.46922i
\(353\) −4.46199e12 7.72839e12i −0.814057 1.40999i −0.910003 0.414602i \(-0.863921\pi\)
0.0959460 0.995387i \(-0.469412\pi\)
\(354\) −5.33139e12 + 9.23423e12i −0.959012 + 1.66106i
\(355\) 9.75061e12 1.72938
\(356\) 2.03359e13 + 1.17409e13i 3.55642 + 2.05330i
\(357\) −1.67352e12 2.89862e12i −0.288595 0.499862i
\(358\) 5.19199e12 + 8.99279e12i 0.882915 + 1.52925i
\(359\) −2.34119e12 4.05505e12i −0.392612 0.680024i 0.600181 0.799864i \(-0.295095\pi\)
−0.992793 + 0.119840i \(0.961762\pi\)
\(360\) 4.27945e13 7.07743
\(361\) −4.99850e11 8.65765e11i −0.0815274 0.141210i
\(362\) −7.93988e12 + 4.58409e12i −1.27724 + 0.737412i
\(363\) 1.60617e13 + 9.27325e12i 2.54835 + 1.47129i
\(364\) −1.51548e12 8.74961e11i −0.237161 0.136925i
\(365\) −1.45257e13 −2.24218
\(366\) 9.04782e12i 1.37765i
\(367\) 1.37314e12 2.37835e12i 0.206245 0.357228i −0.744283 0.667864i \(-0.767209\pi\)
0.950529 + 0.310636i \(0.100542\pi\)
\(368\) 1.29075e12 2.23565e12i 0.191251 0.331257i
\(369\) −1.57052e12 2.72022e12i −0.229568 0.397624i
\(370\) −8.51127e12 + 4.91398e12i −1.22740 + 0.708639i
\(371\) 5.60403e12i 0.797316i
\(372\) −3.98260e13 + 2.29935e13i −5.59051 + 3.22768i
\(373\) −5.37570e12 + 3.10366e12i −0.744545 + 0.429863i −0.823719 0.566998i \(-0.808105\pi\)
0.0791747 + 0.996861i \(0.474772\pi\)
\(374\) −4.10450e12 + 2.36974e12i −0.560922 + 0.323849i
\(375\) −2.49191e12 + 4.31612e12i −0.336029 + 0.582019i
\(376\) 9.17026e12i 1.22023i
\(377\) −2.52681e11 1.45886e11i −0.0331792 0.0191560i
\(378\) 2.98812e13 1.72519e13i 3.87203 2.23552i
\(379\) 9.92750e12 1.26953 0.634766 0.772704i \(-0.281096\pi\)
0.634766 + 0.772704i \(0.281096\pi\)
\(380\) 1.27998e13 + 2.21700e13i 1.61542 + 2.79800i
\(381\) −1.23527e13 7.13184e12i −1.53864 0.888335i
\(382\) 2.16836e12 3.75570e12i 0.266571 0.461715i
\(383\) 3.81040e12i 0.462356i 0.972912 + 0.231178i \(0.0742579\pi\)
−0.972912 + 0.231178i \(0.925742\pi\)
\(384\) −3.20678e12 + 5.55431e12i −0.384073 + 0.665233i
\(385\) −3.31590e13 −3.92011
\(386\) 8.08881e12i 0.943948i
\(387\) 1.56211e12 + 1.64860e13i 0.179952 + 1.89916i
\(388\) 3.63832e13 4.13754
\(389\) 7.73681e12i 0.868588i −0.900771 0.434294i \(-0.856998\pi\)
0.900771 0.434294i \(-0.143002\pi\)
\(390\) 2.70870e12 + 1.56387e12i 0.300218 + 0.173331i
\(391\) 3.46098e11 0.0378718
\(392\) −2.95104e13 1.70378e13i −3.18819 1.84070i
\(393\) 2.95444e11 5.11724e11i 0.0315147 0.0545850i
\(394\) 2.97802e12 1.71936e12i 0.313651 0.181086i
\(395\) 1.30459e13i 1.35672i
\(396\) −3.60082e13 6.23680e13i −3.69765 6.40451i
\(397\) −5.72338e12 + 9.91319e12i −0.580364 + 1.00522i 0.415072 + 0.909789i \(0.363756\pi\)
−0.995436 + 0.0954313i \(0.969577\pi\)
\(398\) −3.46217e13 −3.46684
\(399\) 2.15688e13 + 1.24528e13i 2.13286 + 1.23141i
\(400\) 1.39927e13 + 2.42360e13i 1.36647 + 2.36680i
\(401\) −5.47281e11 9.47919e11i −0.0527823 0.0914217i 0.838427 0.545014i \(-0.183476\pi\)
−0.891209 + 0.453592i \(0.850142\pi\)
\(402\) −9.90017e12 1.71476e13i −0.943002 1.63333i
\(403\) −1.26602e12 −0.119101
\(404\) −1.86152e13 3.22424e13i −1.72966 2.99585i
\(405\) −1.03821e13 + 5.99409e12i −0.952815 + 0.550108i
\(406\) −1.43127e13 8.26345e12i −1.29745 0.749086i
\(407\) 8.22325e12 + 4.74770e12i 0.736329 + 0.425119i
\(408\) 1.01960e13 0.901843
\(409\) 9.67459e11i 0.0845310i −0.999106 0.0422655i \(-0.986542\pi\)
0.999106 0.0422655i \(-0.0134575\pi\)
\(410\) 3.83689e12 6.64569e12i 0.331177 0.573615i
\(411\) 3.77795e12 6.54360e12i 0.322142 0.557966i
\(412\) −8.11078e12 1.40483e13i −0.683245 1.18342i
\(413\) −1.00989e13 + 5.83060e12i −0.840473 + 0.485247i
\(414\) 7.49864e12i 0.616568i
\(415\) −5.02790e12 + 2.90286e12i −0.408457 + 0.235823i
\(416\) 1.19208e12 6.88247e11i 0.0956837 0.0552430i
\(417\) −2.14494e13 + 1.23838e13i −1.70112 + 0.982143i
\(418\) 1.76334e13 3.05419e13i 1.38183 2.39340i
\(419\) 1.02781e13i 0.795872i 0.917413 + 0.397936i \(0.130273\pi\)
−0.917413 + 0.397936i \(0.869727\pi\)
\(420\) 1.07604e14 + 6.21252e13i 8.23345 + 4.75358i
\(421\) 1.95082e13 1.12631e13i 1.47505 0.851623i 0.475449 0.879743i \(-0.342286\pi\)
0.999605 + 0.0281206i \(0.00895226\pi\)
\(422\) 4.15139e13 3.10193
\(423\) −6.38990e12 1.10676e13i −0.471837 0.817246i
\(424\) −1.47843e13 8.53574e12i −1.07888 0.622891i
\(425\) −1.87598e12 + 3.24929e12i −0.135295 + 0.234338i
\(426\) 5.03337e13i 3.58765i
\(427\) 4.94752e12 8.56935e12i 0.348536 0.603682i
\(428\) 3.28884e13 2.28994
\(429\) 3.02189e12i 0.207966i
\(430\) −3.29723e13 + 2.34433e13i −2.24289 + 1.59469i
\(431\) −6.69332e12 −0.450044 −0.225022 0.974354i \(-0.572245\pi\)
−0.225022 + 0.974354i \(0.572245\pi\)
\(432\) 5.04279e13i 3.35160i
\(433\) −3.37000e12 1.94567e12i −0.221406 0.127829i 0.385195 0.922835i \(-0.374134\pi\)
−0.606601 + 0.795006i \(0.707468\pi\)
\(434\) −7.17118e13 −4.65738
\(435\) 1.79412e13 + 1.03584e13i 1.15187 + 0.665035i
\(436\) −1.60135e13 + 2.77362e13i −1.01637 + 1.76041i
\(437\) −2.23031e12 + 1.28767e12i −0.139945 + 0.0807975i
\(438\) 7.49829e13i 4.65149i
\(439\) 1.02456e13 + 1.77458e13i 0.628367 + 1.08836i 0.987879 + 0.155224i \(0.0496098\pi\)
−0.359512 + 0.933140i \(0.617057\pi\)
\(440\) 5.05060e13 8.74789e13i 3.06252 5.30445i
\(441\) 4.74883e13 2.84704
\(442\) 4.23411e11 + 2.44456e11i 0.0250987 + 0.0144907i
\(443\) −1.93378e12 3.34940e12i −0.113341 0.196313i 0.803774 0.594934i \(-0.202822\pi\)
−0.917115 + 0.398622i \(0.869489\pi\)
\(444\) −1.77901e13 3.08134e13i −1.03101 1.78577i
\(445\) −2.29502e13 3.97509e13i −1.31518 2.27796i
\(446\) 3.38624e13 1.91886
\(447\) 1.48710e13 + 2.57574e13i 0.833304 + 1.44332i
\(448\) 1.40933e13 8.13674e12i 0.780946 0.450880i
\(449\) 1.68319e13 + 9.71788e12i 0.922360 + 0.532525i 0.884387 0.466754i \(-0.154577\pi\)
0.0379728 + 0.999279i \(0.487910\pi\)
\(450\) −7.03997e13 4.06453e13i −3.81512 2.20266i
\(451\) −7.41411e12 −0.397353
\(452\) 6.18759e13i 3.27966i
\(453\) −1.44989e13 + 2.51129e13i −0.760055 + 1.31645i
\(454\) −8.74147e12 + 1.51407e13i −0.453216 + 0.784994i
\(455\) 1.71030e12 + 2.96233e12i 0.0877033 + 0.151907i
\(456\) −6.57049e13 + 3.79347e13i −3.33253 + 1.92403i
\(457\) 2.82524e13i 1.41734i −0.705540 0.708670i \(-0.749296\pi\)
0.705540 0.708670i \(-0.250704\pi\)
\(458\) 1.18402e13 6.83593e12i 0.587531 0.339211i
\(459\) −5.85502e12 + 3.38040e12i −0.287386 + 0.165922i
\(460\) −1.11267e13 + 6.42401e12i −0.540229 + 0.311901i
\(461\) 1.29116e12 2.23636e12i 0.0620120 0.107408i −0.833353 0.552742i \(-0.813582\pi\)
0.895365 + 0.445334i \(0.146915\pi\)
\(462\) 1.71170e14i 8.13240i
\(463\) −1.71616e13 9.90823e12i −0.806588 0.465684i 0.0391817 0.999232i \(-0.487525\pi\)
−0.845770 + 0.533548i \(0.820858\pi\)
\(464\) 2.09183e13 1.20772e13i 0.972605 0.561534i
\(465\) 8.98917e13 4.13480
\(466\) 1.74567e13 + 3.02358e13i 0.794386 + 1.37592i
\(467\) −2.30163e13 1.32885e13i −1.03622 0.598261i −0.117459 0.993078i \(-0.537475\pi\)
−0.918760 + 0.394817i \(0.870808\pi\)
\(468\) −3.71452e12 + 6.43374e12i −0.165453 + 0.286572i
\(469\) 2.16544e13i 0.954293i
\(470\) 1.56110e13 2.70390e13i 0.680676 1.17897i
\(471\) −4.04216e13 −1.74385
\(472\) 3.55234e13i 1.51637i
\(473\) 3.55437e13 + 1.62636e13i 1.50127 + 0.686927i
\(474\) −6.73445e13 −2.81456
\(475\) 2.79186e13i 1.15458i
\(476\) 1.68201e13 + 9.71111e12i 0.688327 + 0.397406i
\(477\) 2.37911e13 0.963434
\(478\) 1.21972e13 + 7.04208e12i 0.488790 + 0.282203i
\(479\) −3.53622e12 + 6.12491e12i −0.140237 + 0.242897i −0.927586 0.373611i \(-0.878120\pi\)
0.787349 + 0.616507i \(0.211453\pi\)
\(480\) −8.46415e13 + 4.88678e13i −3.32183 + 1.91786i
\(481\) 9.79522e11i 0.0380442i
\(482\) 2.75290e13 + 4.76816e13i 1.05817 + 1.83280i
\(483\) −6.24983e12 + 1.08250e13i −0.237756 + 0.411806i
\(484\) −1.07622e14 −4.05204
\(485\) −6.15907e13 3.55594e13i −2.29513 1.32509i
\(486\) 7.45059e12 + 1.29048e13i 0.274795 + 0.475959i
\(487\) −9.97487e12 1.72770e13i −0.364135 0.630700i 0.624502 0.781023i \(-0.285302\pi\)
−0.988637 + 0.150323i \(0.951969\pi\)
\(488\) 1.50716e13 + 2.61047e13i 0.544577 + 0.943235i
\(489\) 7.09824e12 0.253867
\(490\) 5.80086e13 + 1.00474e14i 2.05358 + 3.55691i
\(491\) −2.70280e13 + 1.56046e13i −0.947124 + 0.546822i −0.892186 0.451668i \(-0.850829\pi\)
−0.0549375 + 0.998490i \(0.517496\pi\)
\(492\) 2.40594e13 + 1.38907e13i 0.834564 + 0.481836i
\(493\) 2.80448e12 + 1.61917e12i 0.0962982 + 0.0555978i
\(494\) −3.63803e12 −0.123661
\(495\) 1.40772e14i 4.73685i
\(496\) 5.24040e13 9.07665e13i 1.74565 3.02355i
\(497\) −2.75234e13 + 4.76719e13i −0.907653 + 1.57210i
\(498\) −1.49849e13 2.59546e13i −0.489222 0.847358i
\(499\) 3.04433e12 1.75764e12i 0.0983986 0.0568104i −0.449993 0.893032i \(-0.648574\pi\)
0.548392 + 0.836222i \(0.315240\pi\)
\(500\) 2.89202e13i 0.925446i
\(501\) −1.91288e12 + 1.10440e12i −0.0606038 + 0.0349896i
\(502\) −8.95926e11 + 5.17263e11i −0.0281031 + 0.0162253i
\(503\) 4.10932e13 2.37252e13i 1.27623 0.736834i 0.300080 0.953914i \(-0.402987\pi\)
0.976154 + 0.217080i \(0.0696533\pi\)
\(504\) −1.20797e14 + 2.09227e14i −3.71454 + 6.43377i
\(505\) 7.27748e13i 2.21577i
\(506\) 1.53284e13 + 8.84988e12i 0.462110 + 0.266799i
\(507\) 4.92001e13 2.84057e13i 1.46868 0.847941i
\(508\) 8.27695e13 2.44654
\(509\) 7.80525e12 + 1.35191e13i 0.228454 + 0.395693i 0.957350 0.288931i \(-0.0932997\pi\)
−0.728896 + 0.684624i \(0.759966\pi\)
\(510\) −3.00636e13 1.73572e13i −0.871344 0.503071i
\(511\) 4.10021e13 7.10177e13i 1.17680 2.03827i
\(512\) 7.39897e13i 2.10291i
\(513\) 2.51538e13 4.35676e13i 0.707973 1.22624i
\(514\) 7.83434e13 2.18367
\(515\) 3.17086e13i 0.875267i
\(516\) −8.48719e13 1.19370e14i −2.32015 3.26322i
\(517\) −3.01654e13 −0.816689
\(518\) 5.54835e13i 1.48770i
\(519\) 7.15240e12 + 4.12944e12i 0.189939 + 0.109662i
\(520\) −1.04202e13 −0.274067
\(521\) −3.07278e13 1.77407e13i −0.800465 0.462149i 0.0431686 0.999068i \(-0.486255\pi\)
−0.843634 + 0.536919i \(0.819588\pi\)
\(522\) −3.50813e13 + 6.07625e13i −0.905155 + 1.56777i
\(523\) −1.99234e13 + 1.15028e13i −0.509161 + 0.293964i −0.732489 0.680779i \(-0.761641\pi\)
0.223328 + 0.974743i \(0.428308\pi\)
\(524\) 3.42881e12i 0.0867935i
\(525\) −6.77526e13 1.17351e14i −1.69875 2.94232i
\(526\) 1.26154e13 2.18505e13i 0.313309 0.542667i
\(527\) 1.40515e13 0.345675
\(528\) 2.16652e14 + 1.25084e14i 5.27951 + 3.04813i
\(529\) 2.00670e13 + 3.47571e13i 0.484400 + 0.839005i
\(530\) 2.90616e13 + 5.03362e13i 0.694929 + 1.20365i
\(531\) 2.47530e13 + 4.28734e13i 0.586347 + 1.01558i
\(532\) −1.44522e14 −3.39138
\(533\) 3.82411e11 + 6.62355e11i 0.00888984 + 0.0153977i
\(534\) 2.05198e14 1.18471e14i 4.72571 2.72839i
\(535\) −5.56746e13 3.21438e13i −1.27025 0.733378i
\(536\) 5.71278e13 + 3.29828e13i 1.29129 + 0.745527i
\(537\) 7.34841e13 1.64559
\(538\) 1.24356e14i 2.75902i
\(539\) 5.60456e13 9.70739e13i 1.23196 2.13382i
\(540\) 1.25489e14 2.17353e14i 2.73298 4.73365i
\(541\) −3.22180e12 5.58033e12i −0.0695205 0.120413i 0.829170 0.558997i \(-0.188814\pi\)
−0.898690 + 0.438584i \(0.855480\pi\)
\(542\) −1.04884e14 + 6.05546e13i −2.24239 + 1.29465i
\(543\) 6.48802e13i 1.37440i
\(544\) −1.32308e13 + 7.63878e12i −0.277709 + 0.160335i
\(545\) 5.42164e13 3.13019e13i 1.12758 0.651010i
\(546\) −1.52919e13 + 8.82876e12i −0.315135 + 0.181944i
\(547\) −1.48392e13 + 2.57023e13i −0.303023 + 0.524851i −0.976819 0.214066i \(-0.931329\pi\)
0.673796 + 0.738917i \(0.264662\pi\)
\(548\) 4.38454e13i 0.887200i
\(549\) −3.63799e13 2.10039e13i −0.729457 0.421152i
\(550\) −1.66171e14 + 9.59391e13i −3.30174 + 1.90626i
\(551\) −2.40967e13 −0.474460
\(552\) −1.90388e13 3.29761e13i −0.371487 0.643434i
\(553\) −6.37832e13 3.68252e13i −1.23333 0.712065i
\(554\) −1.24757e13 + 2.16086e13i −0.239066 + 0.414074i
\(555\) 6.95493e13i 1.32077i
\(556\) 7.18610e13 1.24467e14i 1.35244 2.34250i
\(557\) −1.55622e13 −0.290266 −0.145133 0.989412i \(-0.546361\pi\)
−0.145133 + 0.989412i \(0.546361\pi\)
\(558\) 3.04442e14i 5.62773i
\(559\) −3.80363e11 4.01423e12i −0.00696849 0.0735433i
\(560\) −2.83176e14 −5.14181
\(561\) 3.35397e13i 0.603594i
\(562\) 1.45446e13 + 8.39730e12i 0.259429 + 0.149782i
\(563\) −5.33574e12 −0.0943307 −0.0471653 0.998887i \(-0.515019\pi\)
−0.0471653 + 0.998887i \(0.515019\pi\)
\(564\) 9.78894e13 + 5.65165e13i 1.71530 + 0.990329i
\(565\) 6.04750e13 1.04746e14i 1.05035 1.81926i
\(566\) 4.77872e13 2.75899e13i 0.822677 0.474973i
\(567\) 6.76789e13i 1.15488i
\(568\) −8.38442e13 1.45222e14i −1.41818 2.45636i
\(569\) 2.47191e13 4.28147e13i 0.414448 0.717846i −0.580922 0.813959i \(-0.697308\pi\)
0.995370 + 0.0961135i \(0.0306412\pi\)
\(570\) 2.58312e14 4.29310
\(571\) 1.40677e13 + 8.12198e12i 0.231762 + 0.133808i 0.611385 0.791334i \(-0.290613\pi\)
−0.379623 + 0.925141i \(0.623946\pi\)
\(572\) 8.76774e12 + 1.51862e13i 0.143188 + 0.248009i
\(573\) −1.53447e13 2.65779e13i −0.248420 0.430276i
\(574\) 2.16610e13 + 3.75180e13i 0.347632 + 0.602117i
\(575\) 1.40118e13 0.222923
\(576\) −3.45433e13 5.98308e13i −0.544819 0.943654i
\(577\) −9.20171e13 + 5.31261e13i −1.43876 + 0.830671i −0.997764 0.0668359i \(-0.978710\pi\)
−0.441000 + 0.897507i \(0.645376\pi\)
\(578\) 9.75284e13 + 5.63081e13i 1.51179 + 0.872834i
\(579\) 4.95729e13 + 2.86209e13i 0.761819 + 0.439836i
\(580\) −1.20215e14 −1.83155
\(581\) 3.27760e13i 0.495080i
\(582\) 1.83561e14 3.17938e14i 2.74895 4.76131i
\(583\) 2.80782e13 4.86328e13i 0.416895 0.722083i
\(584\) 1.24904e14 + 2.16340e14i 1.83871 + 3.18473i
\(585\) 1.25761e13 7.26084e12i 0.183556 0.105976i
\(586\) 1.79043e14i 2.59101i
\(587\) 4.68928e13 2.70736e13i 0.672846 0.388468i −0.124308 0.992244i \(-0.539671\pi\)
0.797154 + 0.603776i \(0.206338\pi\)
\(588\) −3.63746e14 + 2.10009e14i −5.17501 + 2.98780i
\(589\) −9.05498e13 + 5.22789e13i −1.27735 + 0.737480i
\(590\) −6.04732e13 + 1.04743e14i −0.845868 + 1.46509i
\(591\) 2.43347e13i 0.337512i
\(592\) 7.02261e13 + 4.05450e13i 0.965806 + 0.557608i
\(593\) 8.40751e13 4.85408e13i 1.14655 0.661962i 0.198508 0.980099i \(-0.436390\pi\)
0.948045 + 0.318137i \(0.103057\pi\)
\(594\) −3.45753e14 −4.67556
\(595\) −1.89825e13 3.28786e13i −0.254547 0.440889i
\(596\) −1.49465e14 8.62938e13i −1.98751 1.14749i
\(597\) −1.22503e14 + 2.12182e14i −1.61539 + 2.79793i
\(598\) 1.82587e12i 0.0238761i
\(599\) −4.08266e13 + 7.07138e13i −0.529431 + 0.917001i 0.469980 + 0.882677i \(0.344261\pi\)
−0.999411 + 0.0343240i \(0.989072\pi\)
\(600\) 4.12788e14 5.30849
\(601\) 2.29106e13i 0.292189i −0.989271 0.146095i \(-0.953330\pi\)
0.989271 0.146095i \(-0.0466704\pi\)
\(602\) −2.15450e13 2.27380e14i −0.272499 2.87587i
\(603\) −9.19305e13 −1.15312
\(604\) 1.68269e14i 2.09324i
\(605\) 1.82186e14 + 1.05185e14i 2.24770 + 1.29771i
\(606\) −3.75671e14 −4.59668
\(607\) 8.01250e13 + 4.62602e13i 0.972354 + 0.561389i 0.899953 0.435987i \(-0.143600\pi\)
0.0724012 + 0.997376i \(0.476934\pi\)
\(608\) 5.68407e13 9.84510e13i 0.684135 1.18496i
\(609\) −1.01286e14 + 5.84778e13i −1.20911 + 0.698079i
\(610\) 1.02628e14i 1.21511i
\(611\) 1.55590e12 + 2.69489e12i 0.0182715 + 0.0316472i
\(612\) 4.12271e13 7.14074e13i 0.480204 0.831737i
\(613\) −1.14825e14 −1.32658 −0.663290 0.748363i \(-0.730840\pi\)
−0.663290 + 0.748363i \(0.730840\pi\)
\(614\) −1.98732e14 1.14738e14i −2.27733 1.31482i
\(615\) −2.71524e13 4.70294e13i −0.308626 0.534557i
\(616\) 2.85130e14 + 4.93860e14i 3.21469 + 5.56801i
\(617\) 7.77505e13 + 1.34668e14i 0.869515 + 1.50604i 0.862493 + 0.506069i \(0.168902\pi\)
0.00702234 + 0.999975i \(0.497765\pi\)
\(618\) −1.63683e14 −1.81577
\(619\) −8.33074e13 1.44293e14i −0.916706 1.58778i −0.804384 0.594110i \(-0.797504\pi\)
−0.112322 0.993672i \(-0.535829\pi\)
\(620\) −4.51740e14 + 2.60812e14i −4.93095 + 2.84688i
\(621\) 2.18658e13 + 1.26242e13i 0.236760 + 0.136693i
\(622\) −8.60584e13 4.96858e13i −0.924360 0.533680i
\(623\) 2.59129e14 2.76106
\(624\) 2.58068e13i 0.272779i
\(625\) 3.19138e13 5.52763e13i 0.334640 0.579614i
\(626\) −2.37896e13 + 4.12049e13i −0.247466 + 0.428624i
\(627\) −1.24786e14 2.16135e14i −1.28774 2.23043i
\(628\) 2.03134e14 1.17279e14i 2.07962 1.20067i
\(629\) 1.08716e13i 0.110418i
\(630\) 7.12355e14 4.11279e14i 7.17784 4.14413i
\(631\) −9.54318e13 + 5.50976e13i −0.953996 + 0.550790i −0.894320 0.447428i \(-0.852340\pi\)
−0.0596758 + 0.998218i \(0.519007\pi\)
\(632\) 1.94302e14 1.12180e14i 1.92704 1.11258i
\(633\) 1.46890e14 2.54421e14i 1.44535 2.50343i
\(634\) 3.47830e14i 3.39563i
\(635\) −1.40115e14 8.08955e13i −1.35711 0.783530i
\(636\) −1.82232e14 + 1.05212e14i −1.75122 + 1.01107i
\(637\) −1.15631e13 −0.110249
\(638\) 8.28057e13 + 1.43424e14i 0.783352 + 1.35681i
\(639\) 2.02384e14 + 1.16846e14i 1.89964 + 1.09676i
\(640\) −3.63741e13 + 6.30018e13i −0.338760 + 0.586750i
\(641\) 1.91959e14i 1.77386i −0.461905 0.886929i \(-0.652834\pi\)
0.461905 0.886929i \(-0.347166\pi\)
\(642\) 1.65929e14 2.87398e14i 1.52142 2.63517i
\(643\) −7.14366e13 −0.649929 −0.324965 0.945726i \(-0.605352\pi\)
−0.324965 + 0.945726i \(0.605352\pi\)
\(644\) 7.25331e13i 0.654798i
\(645\) 2.70070e13 + 2.85024e14i 0.241923 + 2.55319i
\(646\) 4.03782e13 0.358909
\(647\) 1.75454e14i 1.54754i 0.633466 + 0.773771i \(0.281632\pi\)
−0.633466 + 0.773771i \(0.718368\pi\)
\(648\) 1.78548e14 + 1.03085e14i 1.56272 + 0.902234i
\(649\) 1.16854e14 1.01489
\(650\) 1.71418e13 + 9.89684e12i 0.147737 + 0.0852962i
\(651\) −2.53740e14 + 4.39491e14i −2.17013 + 3.75877i
\(652\) −3.56713e13 + 2.05949e13i −0.302748 + 0.174792i
\(653\) 4.13075e13i 0.347907i 0.984754 + 0.173953i \(0.0556542\pi\)
−0.984754 + 0.173953i \(0.944346\pi\)
\(654\) 1.61583e14 + 2.79871e14i 1.35054 + 2.33921i
\(655\) 3.35118e12 5.80441e12i 0.0277966 0.0481451i
\(656\) −6.33160e13 −0.521188
\(657\) −3.01495e14 1.74068e14i −2.46294 1.42198i
\(658\) 8.81312e13 + 1.52648e14i 0.714497 + 1.23754i
\(659\) 2.83768e13 + 4.91500e13i 0.228316 + 0.395454i 0.957309 0.289066i \(-0.0933449\pi\)
−0.728993 + 0.684521i \(0.760012\pi\)
\(660\) −6.22539e14 1.07827e15i −4.97103 8.61008i
\(661\) −6.30160e13 −0.499394 −0.249697 0.968324i \(-0.580331\pi\)
−0.249697 + 0.968324i \(0.580331\pi\)
\(662\) 1.91911e13 + 3.32400e13i 0.150942 + 0.261440i
\(663\) 2.99634e12 1.72994e12i 0.0233896 0.0135040i
\(664\) 8.64685e13 + 4.99226e13i 0.669912 + 0.386774i
\(665\) 2.44652e14 + 1.41250e14i 1.88123 + 1.08613i
\(666\) −2.35547e14 −1.79765
\(667\) 1.20937e13i 0.0916074i
\(668\) 6.40865e12 1.11001e13i 0.0481819 0.0834535i
\(669\) 1.19816e14 2.07528e14i 0.894099 1.54863i
\(670\) −1.12296e14 1.94503e14i −0.831747 1.44063i
\(671\) −8.58710e13 + 4.95776e13i −0.631297 + 0.364480i
\(672\) 5.51763e14i 4.02630i
\(673\) −1.94900e14 + 1.12526e14i −1.41168 + 0.815035i −0.995547 0.0942683i \(-0.969949\pi\)
−0.416135 + 0.909303i \(0.636616\pi\)
\(674\) 1.57784e14 9.10968e13i 1.13439 0.654943i
\(675\) −2.37041e14 + 1.36856e14i −1.69163 + 0.976662i
\(676\) −1.64833e14 + 2.85499e14i −1.16764 + 2.02242i
\(677\) 1.76912e14i 1.24398i −0.783026 0.621989i \(-0.786325\pi\)
0.783026 0.621989i \(-0.213675\pi\)
\(678\) 5.40708e14 + 3.12178e14i 3.77411 + 2.17898i
\(679\) 3.47708e14 2.00749e14i 2.40916 1.39093i
\(680\) 1.15652e14 0.795444
\(681\) 6.18606e13 + 1.07146e14i 0.422356 + 0.731541i
\(682\) 6.22329e14 + 3.59302e14i 4.21792 + 2.43522i
\(683\) −1.60674e13 + 2.78296e13i −0.108104 + 0.187242i −0.915002 0.403449i \(-0.867811\pi\)
0.806898 + 0.590691i \(0.201145\pi\)
\(684\) 6.13548e14i 4.09796i
\(685\) 4.28527e13 7.42231e13i 0.284136 0.492137i
\(686\) −2.16107e14 −1.42249
\(687\) 9.67512e13i 0.632227i
\(688\) 3.03541e14 + 1.38890e14i 1.96914 + 0.901008i
\(689\) −5.79296e12 −0.0373082
\(690\) 1.29642e14i 0.828900i
\(691\) −1.38697e14 8.00766e13i −0.880391 0.508294i −0.00960402 0.999954i \(-0.503057\pi\)
−0.870787 + 0.491660i \(0.836390\pi\)
\(692\) −4.79248e13 −0.302016
\(693\) −6.88250e14 3.97361e14i −4.30606 2.48610i
\(694\) 1.71487e14 2.97024e14i 1.06521 1.84499i
\(695\) −2.43298e14 + 1.40468e14i −1.50042 + 0.866271i
\(696\) 3.56280e14i 2.18145i
\(697\) −4.24434e12 7.35141e12i −0.0258016 0.0446896i
\(698\) −2.27395e14 + 3.93860e14i −1.37247 + 2.37719i
\(699\) 2.47070e14 1.48059
\(700\) 6.80965e14 + 3.93155e14i 4.05168 + 2.33924i
\(701\) −1.36510e14 2.36443e14i −0.806447 1.39681i −0.915310 0.402750i \(-0.868054\pi\)
0.108863 0.994057i \(-0.465279\pi\)
\(702\) 1.78335e13 + 3.08886e13i 0.104605 + 0.181181i
\(703\) −4.04483e13 7.00584e13i −0.235572 0.408022i
\(704\) −1.63072e14 −0.943010
\(705\) −1.10474e14 1.91346e14i −0.634327 1.09869i
\(706\) 4.52521e14 2.61263e14i 2.57997 1.48955i
\(707\) −3.55805e14 2.05424e14i −2.01426 1.16293i
\(708\) −3.79200e14 2.18931e14i −2.13158 1.23067i
\(709\) 2.19213e14 1.22359 0.611794 0.791017i \(-0.290448\pi\)
0.611794 + 0.791017i \(0.290448\pi\)
\(710\) 5.70928e14i 3.16439i
\(711\) −1.56336e14 + 2.70782e14i −0.860421 + 1.49029i
\(712\) −3.94691e14 + 6.83625e14i −2.15704 + 3.73609i
\(713\) −2.62379e13 4.54453e13i −0.142391 0.246628i
\(714\) 1.69723e14 9.79896e13i 0.914638 0.528067i
\(715\) 3.42769e13i 0.183430i
\(716\) −3.69285e14 + 2.13207e14i −1.96244 + 1.13302i
\(717\) 8.63159e13 4.98345e13i 0.455507 0.262987i
\(718\) 2.37436e14 1.37083e14i 1.24430 0.718394i
\(719\) 7.25408e13 1.25644e14i 0.377518 0.653881i −0.613182 0.789941i \(-0.710111\pi\)
0.990701 + 0.136061i \(0.0434442\pi\)
\(720\) 1.20218e15i 6.21309i
\(721\) −1.55027e14 8.95049e13i −0.795666 0.459378i
\(722\) 5.06932e13 2.92677e13i 0.258383 0.149177i
\(723\) 3.89627e14 1.97223
\(724\) −1.88244e14 3.26048e14i −0.946298 1.63904i
\(725\) 1.13540e14 + 6.55523e13i 0.566837 + 0.327264i
\(726\) −5.42977e14 + 9.40464e14i −2.69214 + 4.66293i
\(727\) 2.21917e13i 0.109274i 0.998506 + 0.0546372i \(0.0174002\pi\)
−0.998506 + 0.0546372i \(0.982600\pi\)
\(728\) 2.94133e13 5.09454e13i 0.143842 0.249142i
\(729\) 2.56064e14 1.24369
\(730\) 8.50521e14i 4.10271i
\(731\) 4.22161e12 + 4.45536e13i 0.0202251 + 0.213450i
\(732\) 3.71545e14 1.76789
\(733\) 2.74592e14i 1.29768i −0.760925 0.648840i \(-0.775255\pi\)
0.760925 0.648840i \(-0.224745\pi\)
\(734\) 1.39259e14 + 8.04015e13i 0.653649 + 0.377384i
\(735\) 8.21016e14 3.82750
\(736\) 4.94108e13 + 2.85274e13i 0.228788 + 0.132091i
\(737\) −1.08496e14 + 1.87921e14i −0.498973 + 0.864247i
\(738\) 1.59277e14 9.19588e13i 0.727565 0.420060i
\(739\) 1.02819e14i 0.466500i 0.972417 + 0.233250i \(0.0749361\pi\)
−0.972417 + 0.233250i \(0.925064\pi\)
\(740\) −2.01791e14 3.49512e14i −0.909374 1.57508i
\(741\) −1.28726e13 + 2.22960e13i −0.0576202 + 0.0998011i
\(742\) −3.28133e14 −1.45892
\(743\) 1.70299e14 + 9.83222e13i 0.752087 + 0.434217i 0.826447 0.563014i \(-0.190358\pi\)
−0.0743607 + 0.997231i \(0.523692\pi\)
\(744\) −7.72967e14 1.33882e15i −3.39075 5.87296i
\(745\) 1.68680e14 + 2.92162e14i 0.734991 + 1.27304i
\(746\) −1.81729e14 3.14763e14i −0.786556 1.36235i
\(747\) −1.39146e14 −0.598228
\(748\) −9.73123e13 1.68550e14i −0.415585 0.719814i
\(749\) 3.14309e14 1.81467e14i 1.33336 0.769817i
\(750\) −2.52722e14 1.45909e14i −1.06497 0.614859i
\(751\) −1.24120e14 7.16608e13i −0.519568 0.299973i 0.217190 0.976129i \(-0.430311\pi\)
−0.736758 + 0.676157i \(0.763644\pi\)
\(752\) −2.57611e14 −1.07121
\(753\) 7.32100e12i 0.0302410i
\(754\) 8.54204e12 1.47952e13i 0.0350514 0.0607107i
\(755\) −1.64459e14 + 2.84852e14i −0.670384 + 1.16114i
\(756\) 7.08443e14 + 1.22706e15i 2.86877 + 4.96886i
\(757\) −1.50987e14 + 8.71723e13i −0.607379 + 0.350671i −0.771939 0.635697i \(-0.780713\pi\)
0.164560 + 0.986367i \(0.447380\pi\)
\(758\) 5.81285e14i 2.32297i
\(759\) 1.08474e14 6.26277e13i 0.430644 0.248632i
\(760\) −7.45282e14 + 4.30288e14i −2.93936 + 1.69704i
\(761\) 1.37827e14 7.95745e13i 0.540022 0.311782i −0.205066