Properties

Label 43.11.d.a.7.20
Level 43
Weight 11
Character 43.7
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 7.20
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.17

$q$-expansion

\(f(q)\) \(=\) \(q+7.11093i q^{2} +(-393.634 + 227.264i) q^{3} +973.435 q^{4} +(-1943.65 + 1122.17i) q^{5} +(-1616.06 - 2799.10i) q^{6} +(8908.31 + 5143.21i) q^{7} +14203.6i q^{8} +(73773.8 - 127780. i) q^{9} +O(q^{10})\) \(q+7.11093i q^{2} +(-393.634 + 227.264i) q^{3} +973.435 q^{4} +(-1943.65 + 1122.17i) q^{5} +(-1616.06 - 2799.10i) q^{6} +(8908.31 + 5143.21i) q^{7} +14203.6i q^{8} +(73773.8 - 127780. i) q^{9} +(-7979.66 - 13821.2i) q^{10} +229447. q^{11} +(-383177. + 221227. i) q^{12} +(52326.5 - 90632.2i) q^{13} +(-36573.0 + 63346.3i) q^{14} +(510058. - 883447. i) q^{15} +895796. q^{16} +(978422. - 1.69468e6i) q^{17} +(908634. + 524600. i) q^{18} +(97267.8 - 56157.6i) q^{19} +(-1.89202e6 + 1.09236e6i) q^{20} -4.67548e6 q^{21} +1.63158e6i q^{22} +(2.53285e6 + 4.38702e6i) q^{23} +(-3.22798e6 - 5.59102e6i) q^{24} +(-2.36429e6 + 4.09507e6i) q^{25} +(644479. + 372090. i) q^{26} +4.02251e7i q^{27} +(8.67166e6 + 5.00658e6i) q^{28} +(1.83129e6 + 1.05729e6i) q^{29} +(6.28213e6 + 3.62699e6i) q^{30} +(3.80864e6 + 6.59676e6i) q^{31} +2.09144e7i q^{32} +(-9.03180e7 + 5.21451e7i) q^{33} +(1.20507e7 + 6.95749e6i) q^{34} -2.30862e7 q^{35} +(7.18139e7 - 1.24385e8i) q^{36} +(2.72842e7 - 1.57526e7i) q^{37} +(399333. + 691665. i) q^{38} +4.75678e7i q^{39} +(-1.59389e7 - 2.76069e7i) q^{40} +2.35433e7 q^{41} -3.32470e7i q^{42} +(1.46853e8 + 6.76718e6i) q^{43} +2.23352e8 q^{44} +3.31146e8i q^{45} +(-3.11958e7 + 1.80109e7i) q^{46} -2.97050e8 q^{47} +(-3.52615e8 + 2.03583e8i) q^{48} +(-8.83323e7 - 1.52996e8i) q^{49} +(-2.91197e7 - 1.68123e7i) q^{50} +8.89442e8i q^{51} +(5.09365e7 - 8.82245e7i) q^{52} +(2.77610e8 + 4.80835e8i) q^{53} -2.86038e8 q^{54} +(-4.45965e8 + 2.57478e8i) q^{55} +(-7.30522e7 + 1.26530e8i) q^{56} +(-2.55253e7 + 4.42110e7i) q^{57} +(-7.51834e6 + 1.30221e7i) q^{58} +1.27013e9 q^{59} +(4.96508e8 - 8.59978e8i) q^{60} +(-1.25220e9 - 7.22958e8i) q^{61} +(-4.69091e7 + 2.70830e7i) q^{62} +(1.31440e9 - 7.58868e8i) q^{63} +7.68574e8 q^{64} +2.34877e8i q^{65} +(-3.70800e8 - 6.42245e8i) q^{66} +(-6.63005e8 - 1.14836e9i) q^{67} +(9.52430e8 - 1.64966e9i) q^{68} +(-1.99403e9 - 1.15125e9i) q^{69} -1.64164e8i q^{70} +(2.42059e8 + 1.39753e8i) q^{71} +(1.81494e9 + 1.04785e9i) q^{72} +(-6.34655e8 - 3.66419e8i) q^{73} +(1.12015e8 + 1.94016e8i) q^{74} -2.14927e9i q^{75} +(9.46839e7 - 5.46658e7i) q^{76} +(2.04398e9 + 1.18009e9i) q^{77} -3.38251e8 q^{78} +(1.18412e9 - 2.05096e9i) q^{79} +(-1.74112e9 + 1.00523e9i) q^{80} +(-4.78548e9 - 8.28869e9i) q^{81} +1.67415e8i q^{82} +(3.79433e9 + 6.57197e9i) q^{83} -4.55127e9 q^{84} +4.39182e9i q^{85} +(-4.81210e7 + 1.04426e9i) q^{86} -9.61141e8 q^{87} +3.25897e9i q^{88} +(-2.16526e9 + 1.25011e9i) q^{89} -2.35476e9 q^{90} +(9.32282e8 - 5.38253e8i) q^{91} +(2.46556e9 + 4.27047e9i) q^{92} +(-2.99842e9 - 1.73114e9i) q^{93} -2.11230e9i q^{94} +(-1.26037e8 + 2.18302e8i) q^{95} +(-4.75311e9 - 8.23263e9i) q^{96} +1.27635e10 q^{97} +(1.08794e9 - 6.28125e8i) q^{98} +(1.69272e10 - 2.93187e10i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.11093i 0.222217i 0.993808 + 0.111108i \(0.0354400\pi\)
−0.993808 + 0.111108i \(0.964560\pi\)
\(3\) −393.634 + 227.264i −1.61989 + 0.935245i −0.632945 + 0.774197i \(0.718154\pi\)
−0.986947 + 0.161048i \(0.948513\pi\)
\(4\) 973.435 0.950620
\(5\) −1943.65 + 1122.17i −0.621969 + 0.359094i −0.777635 0.628716i \(-0.783581\pi\)
0.155666 + 0.987810i \(0.450248\pi\)
\(6\) −1616.06 2799.10i −0.207827 0.359967i
\(7\) 8908.31 + 5143.21i 0.530036 + 0.306016i 0.741031 0.671471i \(-0.234337\pi\)
−0.210995 + 0.977487i \(0.567670\pi\)
\(8\) 14203.6i 0.433460i
\(9\) 73773.8 127780.i 1.24937 2.16396i
\(10\) −7979.66 13821.2i −0.0797966 0.138212i
\(11\) 229447. 1.42468 0.712342 0.701832i \(-0.247634\pi\)
0.712342 + 0.701832i \(0.247634\pi\)
\(12\) −383177. + 221227.i −1.53990 + 0.889062i
\(13\) 52326.5 90632.2i 0.140931 0.244099i −0.786917 0.617059i \(-0.788324\pi\)
0.927847 + 0.372960i \(0.121657\pi\)
\(14\) −36573.0 + 63346.3i −0.0680019 + 0.117783i
\(15\) 510058. 883447.i 0.671681 1.16339i
\(16\) 895796. 0.854298
\(17\) 978422. 1.69468e6i 0.689099 1.19355i −0.283031 0.959111i \(-0.591340\pi\)
0.972130 0.234444i \(-0.0753268\pi\)
\(18\) 908634. + 524600.i 0.480869 + 0.277630i
\(19\) 97267.8 56157.6i 0.0392827 0.0226799i −0.480230 0.877143i \(-0.659447\pi\)
0.519513 + 0.854463i \(0.326113\pi\)
\(20\) −1.89202e6 + 1.09236e6i −0.591256 + 0.341362i
\(21\) −4.67548e6 −1.14480
\(22\) 1.63158e6i 0.316588i
\(23\) 2.53285e6 + 4.38702e6i 0.393522 + 0.681601i 0.992911 0.118857i \(-0.0379230\pi\)
−0.599389 + 0.800458i \(0.704590\pi\)
\(24\) −3.22798e6 5.59102e6i −0.405391 0.702158i
\(25\) −2.36429e6 + 4.09507e6i −0.242103 + 0.419335i
\(26\) 644479. + 372090.i 0.0542428 + 0.0313171i
\(27\) 4.02251e7i 2.80336i
\(28\) 8.67166e6 + 5.00658e6i 0.503862 + 0.290905i
\(29\) 1.83129e6 + 1.05729e6i 0.0892825 + 0.0515472i 0.543977 0.839100i \(-0.316918\pi\)
−0.454694 + 0.890648i \(0.650251\pi\)
\(30\) 6.28213e6 + 3.62699e6i 0.258524 + 0.149259i
\(31\) 3.80864e6 + 6.59676e6i 0.133034 + 0.230421i 0.924845 0.380345i \(-0.124195\pi\)
−0.791811 + 0.610766i \(0.790861\pi\)
\(32\) 2.09144e7i 0.623299i
\(33\) −9.03180e7 + 5.21451e7i −2.30783 + 1.33243i
\(34\) 1.20507e7 + 6.95749e6i 0.265228 + 0.153129i
\(35\) −2.30862e7 −0.439554
\(36\) 7.18139e7 1.24385e8i 1.18767 2.05711i
\(37\) 2.72842e7 1.57526e7i 0.393462 0.227166i −0.290197 0.956967i \(-0.593721\pi\)
0.683659 + 0.729801i \(0.260387\pi\)
\(38\) 399333. + 691665.i 0.00503984 + 0.00872926i
\(39\) 4.75678e7i 0.527218i
\(40\) −1.59389e7 2.76069e7i −0.155653 0.269599i
\(41\) 2.35433e7 0.203211 0.101606 0.994825i \(-0.467602\pi\)
0.101606 + 0.994825i \(0.467602\pi\)
\(42\) 3.32470e7i 0.254393i
\(43\) 1.46853e8 + 6.76718e6i 0.998940 + 0.0460326i
\(44\) 2.23352e8 1.35433
\(45\) 3.31146e8i 1.79456i
\(46\) −3.11958e7 + 1.80109e7i −0.151463 + 0.0874472i
\(47\) −2.97050e8 −1.29521 −0.647606 0.761976i \(-0.724230\pi\)
−0.647606 + 0.761976i \(0.724230\pi\)
\(48\) −3.52615e8 + 2.03583e8i −1.38387 + 0.798977i
\(49\) −8.83323e7 1.52996e8i −0.312708 0.541626i
\(50\) −2.91197e7 1.68123e7i −0.0931831 0.0537993i
\(51\) 8.89442e8i 2.57790i
\(52\) 5.09365e7 8.82245e7i 0.133971 0.232045i
\(53\) 2.77610e8 + 4.80835e8i 0.663829 + 1.14978i 0.979601 + 0.200950i \(0.0644029\pi\)
−0.315773 + 0.948835i \(0.602264\pi\)
\(54\) −2.86038e8 −0.622953
\(55\) −4.45965e8 + 2.57478e8i −0.886110 + 0.511596i
\(56\) −7.30522e7 + 1.26530e8i −0.132646 + 0.229749i
\(57\) −2.55253e7 + 4.42110e7i −0.0424225 + 0.0734778i
\(58\) −7.51834e6 + 1.30221e7i −0.0114547 + 0.0198400i
\(59\) 1.27013e9 1.77659 0.888295 0.459274i \(-0.151890\pi\)
0.888295 + 0.459274i \(0.151890\pi\)
\(60\) 4.96508e8 8.59978e8i 0.638514 1.10594i
\(61\) −1.25220e9 7.22958e8i −1.48260 0.855980i −0.482797 0.875732i \(-0.660379\pi\)
−0.999805 + 0.0197520i \(0.993712\pi\)
\(62\) −4.69091e7 + 2.70830e7i −0.0512034 + 0.0295623i
\(63\) 1.31440e9 7.58868e8i 1.32442 0.764652i
\(64\) 7.68574e8 0.715790
\(65\) 2.34877e8i 0.202429i
\(66\) −3.70800e8 6.42245e8i −0.296088 0.512839i
\(67\) −6.63005e8 1.14836e9i −0.491069 0.850557i 0.508878 0.860839i \(-0.330060\pi\)
−0.999947 + 0.0102818i \(0.996727\pi\)
\(68\) 9.52430e8 1.64966e9i 0.655071 1.13462i
\(69\) −1.99403e9 1.15125e9i −1.27493 0.736079i
\(70\) 1.64164e8i 0.0976762i
\(71\) 2.42059e8 + 1.39753e8i 0.134162 + 0.0774586i 0.565579 0.824694i \(-0.308653\pi\)
−0.431417 + 0.902153i \(0.641986\pi\)
\(72\) 1.81494e9 + 1.04785e9i 0.937992 + 0.541550i
\(73\) −6.34655e8 3.66419e8i −0.306143 0.176752i 0.339056 0.940766i \(-0.389892\pi\)
−0.645199 + 0.764015i \(0.723226\pi\)
\(74\) 1.12015e8 + 1.94016e8i 0.0504800 + 0.0874338i
\(75\) 2.14927e9i 0.905702i
\(76\) 9.46839e7 5.46658e7i 0.0373429 0.0215599i
\(77\) 2.04398e9 + 1.18009e9i 0.755133 + 0.435976i
\(78\) −3.38251e8 −0.117157
\(79\) 1.18412e9 2.05096e9i 0.384823 0.666533i −0.606922 0.794762i \(-0.707596\pi\)
0.991745 + 0.128229i \(0.0409292\pi\)
\(80\) −1.74112e9 + 1.00523e9i −0.531347 + 0.306773i
\(81\) −4.78548e9 8.28869e9i −1.37246 2.37717i
\(82\) 1.67415e8i 0.0451569i
\(83\) 3.79433e9 + 6.57197e9i 0.963262 + 1.66842i 0.714214 + 0.699927i \(0.246784\pi\)
0.249048 + 0.968491i \(0.419882\pi\)
\(84\) −4.55127e9 −1.08827
\(85\) 4.39182e9i 0.989805i
\(86\) −4.81210e7 + 1.04426e9i −0.0102292 + 0.221981i
\(87\) −9.61141e8 −0.192837
\(88\) 3.25897e9i 0.617544i
\(89\) −2.16526e9 + 1.25011e9i −0.387757 + 0.223872i −0.681188 0.732109i \(-0.738536\pi\)
0.293431 + 0.955980i \(0.405203\pi\)
\(90\) −2.35476e9 −0.398780
\(91\) 9.32282e8 5.38253e8i 0.149396 0.0862541i
\(92\) 2.46556e9 + 4.27047e9i 0.374090 + 0.647943i
\(93\) −2.99842e9 1.73114e9i −0.431000 0.248838i
\(94\) 2.11230e9i 0.287817i
\(95\) −1.26037e8 + 2.18302e8i −0.0162884 + 0.0282124i
\(96\) −4.75311e9 8.23263e9i −0.582937 1.00968i
\(97\) 1.27635e10 1.48632 0.743160 0.669114i \(-0.233326\pi\)
0.743160 + 0.669114i \(0.233326\pi\)
\(98\) 1.08794e9 6.28125e8i 0.120358 0.0694889i
\(99\) 1.69272e10 2.93187e10i 1.77995 3.08297i
\(100\) −2.30148e9 + 3.98628e9i −0.230148 + 0.398628i
\(101\) 5.34139e8 9.25155e8i 0.0508215 0.0880254i −0.839496 0.543367i \(-0.817149\pi\)
0.890317 + 0.455341i \(0.150483\pi\)
\(102\) −6.32476e9 −0.572853
\(103\) −7.66907e9 + 1.32832e10i −0.661540 + 1.14582i 0.318670 + 0.947866i \(0.396764\pi\)
−0.980211 + 0.197956i \(0.936570\pi\)
\(104\) 1.28730e9 + 7.43226e8i 0.105807 + 0.0610877i
\(105\) 9.08751e9 5.24668e9i 0.712030 0.411091i
\(106\) −3.41918e9 + 1.97407e9i −0.255501 + 0.147514i
\(107\) 1.37544e9 0.0980673 0.0490336 0.998797i \(-0.484386\pi\)
0.0490336 + 0.998797i \(0.484386\pi\)
\(108\) 3.91565e10i 2.66493i
\(109\) −4.61055e9 7.98571e9i −0.299654 0.519017i 0.676402 0.736532i \(-0.263538\pi\)
−0.976057 + 0.217516i \(0.930205\pi\)
\(110\) −1.83091e9 3.17123e9i −0.113685 0.196908i
\(111\) −7.15999e9 + 1.24015e10i −0.424911 + 0.735967i
\(112\) 7.98003e9 + 4.60727e9i 0.452808 + 0.261429i
\(113\) 3.11073e10i 1.68838i 0.536042 + 0.844191i \(0.319919\pi\)
−0.536042 + 0.844191i \(0.680081\pi\)
\(114\) −3.14382e8 1.81508e8i −0.0163280 0.00942697i
\(115\) −9.84595e9 5.68456e9i −0.489517 0.282623i
\(116\) 1.78264e9 + 1.02921e9i 0.0848737 + 0.0490018i
\(117\) −7.72065e9 1.33726e10i −0.352147 0.609937i
\(118\) 9.03178e9i 0.394788i
\(119\) 1.74322e10 1.00645e10i 0.730494 0.421751i
\(120\) 1.25481e10 + 7.24467e9i 0.504281 + 0.291147i
\(121\) 2.67084e10 1.02973
\(122\) 5.14090e9 8.90430e9i 0.190213 0.329459i
\(123\) −9.26742e9 + 5.35055e9i −0.329180 + 0.190052i
\(124\) 3.70746e9 + 6.42152e9i 0.126464 + 0.219043i
\(125\) 3.25299e10i 1.06594i
\(126\) 5.39626e9 + 9.34660e9i 0.169918 + 0.294307i
\(127\) −1.69601e10 −0.513346 −0.256673 0.966498i \(-0.582626\pi\)
−0.256673 + 0.966498i \(0.582626\pi\)
\(128\) 2.68817e10i 0.782360i
\(129\) −5.93441e10 + 3.07106e10i −1.66123 + 0.859685i
\(130\) −1.67019e9 −0.0449831
\(131\) 5.62726e10i 1.45861i 0.684187 + 0.729307i \(0.260157\pi\)
−0.684187 + 0.729307i \(0.739843\pi\)
\(132\) −8.79187e10 + 5.07599e10i −2.19387 + 1.26663i
\(133\) 1.15532e9 0.0277616
\(134\) 8.16589e9 4.71458e9i 0.189008 0.109124i
\(135\) −4.51394e10 7.81837e10i −1.00667 1.74360i
\(136\) 2.40705e10 + 1.38971e10i 0.517358 + 0.298697i
\(137\) 6.65221e10i 1.37836i 0.724590 + 0.689180i \(0.242029\pi\)
−0.724590 + 0.689180i \(0.757971\pi\)
\(138\) 8.18647e9 1.41794e10i 0.163569 0.283310i
\(139\) −2.47955e10 4.29471e10i −0.477858 0.827674i 0.521820 0.853056i \(-0.325253\pi\)
−0.999678 + 0.0253816i \(0.991920\pi\)
\(140\) −2.24729e10 −0.417849
\(141\) 1.16929e11 6.75090e10i 2.09810 1.21134i
\(142\) −9.93774e8 + 1.72127e9i −0.0172126 + 0.0298131i
\(143\) 1.20062e10 2.07953e10i 0.200782 0.347764i
\(144\) 6.60863e10 1.14465e11i 1.06733 1.84867i
\(145\) −4.74585e9 −0.0740412
\(146\) 2.60558e9 4.51299e9i 0.0392771 0.0680299i
\(147\) 6.95411e10 + 4.01496e10i 1.01311 + 0.584917i
\(148\) 2.65594e10 1.53341e10i 0.374033 0.215948i
\(149\) 5.81077e10 3.35485e10i 0.791230 0.456817i −0.0491655 0.998791i \(-0.515656\pi\)
0.840395 + 0.541974i \(0.182323\pi\)
\(150\) 1.52833e10 0.201262
\(151\) 1.01876e11i 1.29774i 0.760900 + 0.648869i \(0.224758\pi\)
−0.760900 + 0.648869i \(0.775242\pi\)
\(152\) 7.97641e8 + 1.38155e9i 0.00983082 + 0.0170275i
\(153\) −1.44364e11 2.50045e11i −1.72187 2.98237i
\(154\) −8.39157e9 + 1.45346e10i −0.0968812 + 0.167803i
\(155\) −1.48054e10 8.54788e9i −0.165486 0.0955432i
\(156\) 4.63042e10i 0.501184i
\(157\) 1.29277e11 + 7.46382e10i 1.35526 + 0.782461i 0.988981 0.148043i \(-0.0472974\pi\)
0.366282 + 0.930504i \(0.380631\pi\)
\(158\) 1.45842e10 + 8.42021e9i 0.148115 + 0.0855140i
\(159\) −2.18553e11 1.26182e11i −2.15066 1.24168i
\(160\) −2.34695e10 4.06504e10i −0.223823 0.387673i
\(161\) 5.21079e10i 0.481697i
\(162\) 5.89403e10 3.40292e10i 0.528247 0.304984i
\(163\) 3.65555e10 + 2.11053e10i 0.317698 + 0.183423i 0.650366 0.759621i \(-0.274615\pi\)
−0.332668 + 0.943044i \(0.607949\pi\)
\(164\) 2.29178e10 0.193177
\(165\) 1.17031e11 2.02704e11i 0.956934 1.65746i
\(166\) −4.67328e10 + 2.69812e10i −0.370750 + 0.214053i
\(167\) −4.64429e10 8.04414e10i −0.357550 0.619295i 0.630001 0.776594i \(-0.283055\pi\)
−0.987551 + 0.157300i \(0.949721\pi\)
\(168\) 6.64087e10i 0.496225i
\(169\) 6.34531e10 + 1.09904e11i 0.460277 + 0.797223i
\(170\) −3.12299e10 −0.219951
\(171\) 1.65718e10i 0.113342i
\(172\) 1.42951e11 + 6.58741e9i 0.949612 + 0.0437595i
\(173\) −1.80897e11 −1.16735 −0.583674 0.811988i \(-0.698385\pi\)
−0.583674 + 0.811988i \(0.698385\pi\)
\(174\) 6.83460e9i 0.0428516i
\(175\) −4.21236e10 + 2.43201e10i −0.256646 + 0.148175i
\(176\) 2.05538e11 1.21710
\(177\) −4.99965e11 + 2.88655e11i −2.87788 + 1.66155i
\(178\) −8.88947e9 1.53970e10i −0.0497480 0.0861661i
\(179\) −1.36423e11 7.87640e10i −0.742375 0.428610i 0.0805572 0.996750i \(-0.474330\pi\)
−0.822932 + 0.568140i \(0.807663\pi\)
\(180\) 3.22349e11i 1.70594i
\(181\) −4.20842e10 + 7.28920e10i −0.216634 + 0.375221i −0.953777 0.300516i \(-0.902841\pi\)
0.737143 + 0.675737i \(0.236174\pi\)
\(182\) 3.82748e9 + 6.62939e9i 0.0191671 + 0.0331984i
\(183\) 6.57211e11 3.20220
\(184\) −6.23115e10 + 3.59756e10i −0.295447 + 0.170576i
\(185\) −3.53541e10 + 6.12350e10i −0.163148 + 0.282580i
\(186\) 1.23100e10 2.13215e10i 0.0552959 0.0957754i
\(187\) 2.24496e11 3.88838e11i 0.981748 1.70044i
\(188\) −2.89159e11 −1.23125
\(189\) −2.06886e11 + 3.58338e11i −0.857873 + 1.48588i
\(190\) −1.55233e9 8.96237e8i −0.00626925 0.00361955i
\(191\) 3.26529e11 1.88522e11i 1.28456 0.741642i 0.306883 0.951747i \(-0.400714\pi\)
0.977679 + 0.210105i \(0.0673807\pi\)
\(192\) −3.02537e11 + 1.74670e11i −1.15950 + 0.669439i
\(193\) −4.00896e11 −1.49708 −0.748540 0.663090i \(-0.769245\pi\)
−0.748540 + 0.663090i \(0.769245\pi\)
\(194\) 9.07605e10i 0.330285i
\(195\) −5.33791e10 9.24554e10i −0.189321 0.327913i
\(196\) −8.59857e10 1.48932e11i −0.297267 0.514881i
\(197\) 9.05460e10 1.56830e11i 0.305167 0.528565i −0.672131 0.740432i \(-0.734621\pi\)
0.977299 + 0.211867i \(0.0679543\pi\)
\(198\) 2.08483e11 + 1.20368e11i 0.685086 + 0.395535i
\(199\) 5.58543e11i 1.78975i −0.446321 0.894873i \(-0.647266\pi\)
0.446321 0.894873i \(-0.352734\pi\)
\(200\) −5.81647e10 3.35814e10i −0.181765 0.104942i
\(201\) 5.21962e11 + 3.01355e11i 1.59096 + 0.918540i
\(202\) 6.57871e9 + 3.79822e9i 0.0195607 + 0.0112934i
\(203\) 1.08758e10 + 1.88374e10i 0.0315486 + 0.0546438i
\(204\) 8.65814e11i 2.45061i
\(205\) −4.57600e10 + 2.64195e10i −0.126391 + 0.0729719i
\(206\) −9.44560e10 5.45342e10i −0.254621 0.147005i
\(207\) 7.47430e11 1.96661
\(208\) 4.68739e10 8.11880e10i 0.120397 0.208533i
\(209\) 2.23178e10 1.28852e10i 0.0559654 0.0323117i
\(210\) 3.73087e10 + 6.46206e10i 0.0913512 + 0.158225i
\(211\) 5.46783e11i 1.30738i −0.756761 0.653692i \(-0.773219\pi\)
0.756761 0.653692i \(-0.226781\pi\)
\(212\) 2.70235e11 + 4.68061e11i 0.631049 + 1.09301i
\(213\) −1.27044e11 −0.289771
\(214\) 9.78069e9i 0.0217922i
\(215\) −2.93024e11 + 1.51640e11i −0.637840 + 0.330082i
\(216\) −5.71342e11 −1.21514
\(217\) 7.83546e10i 0.162842i
\(218\) 5.67859e10 3.27853e10i 0.115334 0.0665882i
\(219\) 3.33096e11 0.661224
\(220\) −4.34118e11 + 2.50638e11i −0.842353 + 0.486333i
\(221\) −1.02395e11 1.77353e11i −0.194230 0.336417i
\(222\) −8.81860e10 5.09142e10i −0.163544 0.0944222i
\(223\) 5.00762e11i 0.908044i −0.890990 0.454022i \(-0.849989\pi\)
0.890990 0.454022i \(-0.150011\pi\)
\(224\) −1.07567e11 + 1.86312e11i −0.190740 + 0.330371i
\(225\) 3.48845e11 + 6.04217e11i 0.604950 + 1.04780i
\(226\) −2.21202e11 −0.375186
\(227\) −4.27676e11 + 2.46919e11i −0.709555 + 0.409662i −0.810896 0.585190i \(-0.801020\pi\)
0.101341 + 0.994852i \(0.467687\pi\)
\(228\) −2.48472e10 + 4.30366e10i −0.0403276 + 0.0698495i
\(229\) −2.86481e11 + 4.96200e11i −0.454902 + 0.787914i −0.998683 0.0513135i \(-0.983659\pi\)
0.543780 + 0.839228i \(0.316993\pi\)
\(230\) 4.04225e10 7.00138e10i 0.0628035 0.108779i
\(231\) −1.07277e12 −1.63098
\(232\) −1.50174e10 + 2.60109e10i −0.0223437 + 0.0387004i
\(233\) 1.66881e11 + 9.63487e10i 0.243011 + 0.140303i 0.616560 0.787308i \(-0.288526\pi\)
−0.373549 + 0.927611i \(0.621859\pi\)
\(234\) 9.50913e10 5.49010e10i 0.135538 0.0782530i
\(235\) 5.77363e11 3.33341e11i 0.805582 0.465103i
\(236\) 1.23639e12 1.68886
\(237\) 1.07644e12i 1.43961i
\(238\) 7.15677e10 + 1.23959e11i 0.0937200 + 0.162328i
\(239\) −2.15469e11 3.73203e11i −0.276309 0.478581i 0.694155 0.719825i \(-0.255778\pi\)
−0.970465 + 0.241244i \(0.922445\pi\)
\(240\) 4.56908e11 7.91388e11i 0.573816 0.993879i
\(241\) −3.25537e11 1.87949e11i −0.400419 0.231182i 0.286246 0.958156i \(-0.407593\pi\)
−0.686665 + 0.726974i \(0.740926\pi\)
\(242\) 1.89922e11i 0.228822i
\(243\) 1.71042e12 + 9.87510e11i 2.01870 + 1.16549i
\(244\) −1.21893e12 7.03752e11i −1.40939 0.813712i
\(245\) 3.43375e11 + 1.98248e11i 0.388990 + 0.224583i
\(246\) −3.80474e10 6.59000e10i −0.0422327 0.0731492i
\(247\) 1.17541e10i 0.0127851i
\(248\) −9.36979e10 + 5.40965e10i −0.0998783 + 0.0576648i
\(249\) −2.98715e12 1.72463e12i −3.12076 1.80177i
\(250\) 2.31318e11 0.236869
\(251\) 4.57686e11 7.92735e11i 0.459408 0.795718i −0.539521 0.841972i \(-0.681395\pi\)
0.998930 + 0.0462534i \(0.0147282\pi\)
\(252\) 1.27948e12 7.38709e11i 1.25902 0.726893i
\(253\) 5.81153e11 + 1.00659e12i 0.560645 + 0.971066i
\(254\) 1.20602e11i 0.114074i
\(255\) −9.98104e11 1.72877e12i −0.925710 1.60338i
\(256\) 5.95866e11 0.541937
\(257\) 1.52598e12i 1.36108i 0.732710 + 0.680541i \(0.238255\pi\)
−0.732710 + 0.680541i \(0.761745\pi\)
\(258\) −2.18381e11 4.21991e11i −0.191036 0.369152i
\(259\) 3.24075e11 0.278065
\(260\) 2.28637e11i 0.192433i
\(261\) 2.70202e11 1.56001e11i 0.223093 0.128803i
\(262\) −4.00150e11 −0.324128
\(263\) 1.00740e12 5.81624e11i 0.800616 0.462236i −0.0430704 0.999072i \(-0.513714\pi\)
0.843687 + 0.536836i \(0.180381\pi\)
\(264\) −7.40649e11 1.28284e12i −0.577554 1.00035i
\(265\) −1.07916e12 6.23051e11i −0.825762 0.476754i
\(266\) 8.21541e9i 0.00616909i
\(267\) 5.68213e11 9.84174e11i 0.418750 0.725296i
\(268\) −6.45392e11 1.11785e12i −0.466820 0.808556i
\(269\) 1.80297e12 1.28005 0.640024 0.768355i \(-0.278924\pi\)
0.640024 + 0.768355i \(0.278924\pi\)
\(270\) 5.55959e11 3.20983e11i 0.387457 0.223699i
\(271\) −2.28521e11 + 3.95811e11i −0.156344 + 0.270795i −0.933547 0.358454i \(-0.883304\pi\)
0.777204 + 0.629249i \(0.216637\pi\)
\(272\) 8.76467e11 1.51808e12i 0.588696 1.01965i
\(273\) −2.44652e11 + 4.23749e11i −0.161337 + 0.279444i
\(274\) −4.73034e11 −0.306295
\(275\) −5.42478e11 + 9.39600e11i −0.344920 + 0.597420i
\(276\) −1.94105e12 1.12067e12i −1.21197 0.699732i
\(277\) 9.77390e11 5.64296e11i 0.599334 0.346026i −0.169445 0.985540i \(-0.554198\pi\)
0.768780 + 0.639514i \(0.220864\pi\)
\(278\) 3.05393e11 1.76319e11i 0.183923 0.106188i
\(279\) 1.12391e12 0.664831
\(280\) 3.27908e11i 0.190529i
\(281\) 2.54436e11 + 4.40696e11i 0.145227 + 0.251540i 0.929458 0.368929i \(-0.120275\pi\)
−0.784231 + 0.620469i \(0.786942\pi\)
\(282\) 4.80052e11 + 8.31474e11i 0.269180 + 0.466233i
\(283\) 2.13292e11 3.69433e11i 0.117501 0.203518i −0.801276 0.598295i \(-0.795845\pi\)
0.918777 + 0.394777i \(0.129178\pi\)
\(284\) 2.35629e11 + 1.36040e11i 0.127537 + 0.0736337i
\(285\) 1.14575e11i 0.0609346i
\(286\) 1.47874e11 + 8.53749e10i 0.0772789 + 0.0446170i
\(287\) 2.09731e11 + 1.21088e11i 0.107709 + 0.0621859i
\(288\) 2.67245e12 + 1.54294e12i 1.34880 + 0.778728i
\(289\) −9.06622e11 1.57032e12i −0.449715 0.778929i
\(290\) 3.37474e10i 0.0164532i
\(291\) −5.02415e12 + 2.90070e12i −2.40768 + 1.39007i
\(292\) −6.17796e11 3.56684e11i −0.291025 0.168023i
\(293\) −3.45776e12 −1.60124 −0.800621 0.599171i \(-0.795497\pi\)
−0.800621 + 0.599171i \(0.795497\pi\)
\(294\) −2.85501e11 + 4.94502e11i −0.129978 + 0.225129i
\(295\) −2.46869e12 + 1.42530e12i −1.10498 + 0.637963i
\(296\) 2.23743e11 + 3.87535e11i 0.0984672 + 0.170550i
\(297\) 9.22953e12i 3.99390i
\(298\) 2.38561e11 + 4.13200e11i 0.101512 + 0.175824i
\(299\) 5.30140e11 0.221837
\(300\) 2.09218e12i 0.860978i
\(301\) 1.27340e12 + 8.15579e11i 0.515387 + 0.330091i
\(302\) −7.24433e11 −0.288379
\(303\) 4.85563e11i 0.190122i
\(304\) 8.71321e10 5.03058e10i 0.0335591 0.0193754i
\(305\) 3.24512e12 1.22951
\(306\) 1.77805e12 1.02656e12i 0.662732 0.382629i
\(307\) 1.50334e12 + 2.60387e12i 0.551273 + 0.954833i 0.998183 + 0.0602538i \(0.0191910\pi\)
−0.446910 + 0.894579i \(0.647476\pi\)
\(308\) 1.98968e12 + 1.14874e12i 0.717845 + 0.414448i
\(309\) 6.97162e12i 2.47481i
\(310\) 6.07834e10 1.05280e11i 0.0212313 0.0367737i
\(311\) 9.55521e11 + 1.65501e12i 0.328427 + 0.568851i 0.982200 0.187839i \(-0.0601483\pi\)
−0.653773 + 0.756690i \(0.726815\pi\)
\(312\) −6.75635e11 −0.228528
\(313\) −4.04582e12 + 2.33585e12i −1.34674 + 0.777542i −0.987787 0.155812i \(-0.950201\pi\)
−0.358956 + 0.933354i \(0.616867\pi\)
\(314\) −5.30747e11 + 9.19280e11i −0.173876 + 0.301162i
\(315\) −1.70316e12 + 2.94995e12i −0.549164 + 0.951180i
\(316\) 1.15267e12 1.99647e12i 0.365820 0.633619i
\(317\) 5.83261e12 1.82208 0.911038 0.412322i \(-0.135282\pi\)
0.911038 + 0.412322i \(0.135282\pi\)
\(318\) 8.97270e11 1.55412e12i 0.275923 0.477912i
\(319\) 4.20183e11 + 2.42593e11i 0.127199 + 0.0734386i
\(320\) −1.49384e12 + 8.62470e11i −0.445200 + 0.257036i
\(321\) −5.41421e11 + 3.12590e11i −0.158858 + 0.0917169i
\(322\) −3.70535e11 −0.107041
\(323\) 2.19783e11i 0.0625147i
\(324\) −4.65835e12 8.06850e12i −1.30469 2.25979i
\(325\) 2.47430e11 + 4.28561e11i 0.0682394 + 0.118194i
\(326\) −1.50079e11 + 2.59944e11i −0.0407597 + 0.0705978i
\(327\) 3.62974e12 + 2.09563e12i 0.970815 + 0.560500i
\(328\) 3.34400e11i 0.0880839i
\(329\) −2.64622e12 1.52779e12i −0.686508 0.396356i
\(330\) 1.44141e12 + 8.32201e11i 0.368315 + 0.212647i
\(331\) 1.06462e12 + 6.14656e11i 0.267949 + 0.154701i 0.627955 0.778249i \(-0.283892\pi\)
−0.360006 + 0.932950i \(0.617225\pi\)
\(332\) 3.69353e12 + 6.39738e12i 0.915696 + 1.58603i
\(333\) 4.64850e12i 1.13525i
\(334\) 5.72013e11 3.30252e11i 0.137618 0.0794535i
\(335\) 2.57730e12 + 1.48801e12i 0.610860 + 0.352680i
\(336\) −4.18828e12 −0.978000
\(337\) −2.96852e12 + 5.14164e12i −0.682954 + 1.18291i 0.291122 + 0.956686i \(0.405972\pi\)
−0.974075 + 0.226224i \(0.927362\pi\)
\(338\) −7.81520e11 + 4.51211e11i −0.177156 + 0.102281i
\(339\) −7.06959e12 1.22449e13i −1.57905 2.73500i
\(340\) 4.27515e12i 0.940928i
\(341\) 8.73881e11 + 1.51361e12i 0.189531 + 0.328277i
\(342\) 1.17841e11 0.0251864
\(343\) 4.72291e12i 0.994807i
\(344\) −9.61185e10 + 2.08584e12i −0.0199533 + 0.433000i
\(345\) 5.16759e12 1.05729
\(346\) 1.28634e12i 0.259404i
\(347\) 3.05361e12 1.76300e12i 0.606969 0.350434i −0.164809 0.986325i \(-0.552701\pi\)
0.771778 + 0.635892i \(0.219368\pi\)
\(348\) −9.35608e11 −0.183315
\(349\) 7.91098e12 4.56741e12i 1.52793 0.882151i 0.528481 0.848945i \(-0.322762\pi\)
0.999449 0.0332057i \(-0.0105717\pi\)
\(350\) −1.72938e11 2.99538e11i −0.0329269 0.0570311i
\(351\) 3.64569e12 + 2.10484e12i 0.684297 + 0.395079i
\(352\) 4.79875e12i 0.888004i
\(353\) 1.90065e12 3.29202e12i 0.346759 0.600604i −0.638913 0.769279i \(-0.720615\pi\)
0.985672 + 0.168675i \(0.0539488\pi\)
\(354\) −2.05260e12 3.55521e12i −0.369223 0.639513i
\(355\) −6.27306e11 −0.111260
\(356\) −2.10774e12 + 1.21690e12i −0.368610 + 0.212817i
\(357\) −4.57459e12 + 7.92342e12i −0.788880 + 1.36638i
\(358\) 5.60085e11 9.70096e11i 0.0952443 0.164968i
\(359\) −2.36943e12 + 4.10397e12i −0.397348 + 0.688227i −0.993398 0.114721i \(-0.963403\pi\)
0.596050 + 0.802947i \(0.296736\pi\)
\(360\) −4.70348e12 −0.777869
\(361\) −3.05923e12 + 5.29873e12i −0.498971 + 0.864244i
\(362\) −5.18330e11 2.99258e11i −0.0833803 0.0481396i
\(363\) −1.05133e13 + 6.06988e12i −1.66804 + 0.963045i
\(364\) 9.07515e11 5.23954e11i 0.142019 0.0819948i
\(365\) 1.64473e12 0.253882
\(366\) 4.67338e12i 0.711583i
\(367\) −4.89483e12 8.47810e12i −0.735204 1.27341i −0.954634 0.297782i \(-0.903753\pi\)
0.219430 0.975628i \(-0.429580\pi\)
\(368\) 2.26891e12 + 3.92987e12i 0.336185 + 0.582290i
\(369\) 1.73688e12 3.00836e12i 0.253885 0.439742i
\(370\) −4.35438e11 2.51400e11i −0.0627939 0.0362541i
\(371\) 5.71123e12i 0.812569i
\(372\) −2.91876e12 1.68515e12i −0.409717 0.236550i
\(373\) −3.28707e12 1.89779e12i −0.455266 0.262848i 0.254786 0.966998i \(-0.417995\pi\)
−0.710052 + 0.704150i \(0.751328\pi\)
\(374\) 2.76500e12 + 1.59637e12i 0.377865 + 0.218161i
\(375\) 7.39288e12 + 1.28049e13i 0.996914 + 1.72671i
\(376\) 4.21919e12i 0.561422i
\(377\) 1.91650e11 1.10649e11i 0.0251652 0.0145292i
\(378\) −2.54812e12 1.47116e12i −0.330187 0.190634i
\(379\) −4.64186e12 −0.593603 −0.296801 0.954939i \(-0.595920\pi\)
−0.296801 + 0.954939i \(0.595920\pi\)
\(380\) −1.22688e11 + 2.12503e11i −0.0154841 + 0.0268192i
\(381\) 6.67607e12 3.85443e12i 0.831565 0.480104i
\(382\) 1.34056e12 + 2.32192e12i 0.164805 + 0.285451i
\(383\) 6.10257e12i 0.740489i −0.928934 0.370245i \(-0.879274\pi\)
0.928934 0.370245i \(-0.120726\pi\)
\(384\) −6.10925e12 1.05815e13i −0.731698 1.26734i
\(385\) −5.29706e12 −0.626226
\(386\) 2.85074e12i 0.332676i
\(387\) 1.16986e13 1.82656e13i 1.34765 2.10416i
\(388\) 1.24245e13 1.41292
\(389\) 6.06331e12i 0.680709i −0.940297 0.340355i \(-0.889453\pi\)
0.940297 0.340355i \(-0.110547\pi\)
\(390\) 6.57444e11 3.79575e11i 0.0728678 0.0420702i
\(391\) 9.91276e12 1.08470
\(392\) 2.17310e12 1.25464e12i 0.234773 0.135546i
\(393\) −1.27888e13 2.21508e13i −1.36416 2.36280i
\(394\) 1.11521e12 + 6.43866e11i 0.117456 + 0.0678132i
\(395\) 5.31514e12i 0.552750i
\(396\) 1.64775e13 2.85398e13i 1.69206 2.93073i
\(397\) −5.08732e12 8.81150e12i −0.515866 0.893506i −0.999830 0.0184181i \(-0.994137\pi\)
0.483965 0.875088i \(-0.339196\pi\)
\(398\) 3.97176e12 0.397711
\(399\) −4.54774e11 + 2.62564e11i −0.0449708 + 0.0259639i
\(400\) −2.11792e12 + 3.66834e12i −0.206828 + 0.358237i
\(401\) −4.79369e12 + 8.30291e12i −0.462326 + 0.800771i −0.999076 0.0429695i \(-0.986318\pi\)
0.536751 + 0.843741i \(0.319652\pi\)
\(402\) −2.14291e12 + 3.71164e12i −0.204115 + 0.353537i
\(403\) 7.97172e11 0.0749940
\(404\) 5.19949e11 9.00578e11i 0.0483119 0.0836786i
\(405\) 1.86026e13 + 1.07402e13i 1.70726 + 0.985685i
\(406\) −1.33951e11 + 7.73368e10i −0.0121427 + 0.00701062i
\(407\) 6.26028e12 3.61438e12i 0.560560 0.323639i
\(408\) −1.26333e13 −1.11742
\(409\) 7.62959e12i 0.666629i 0.942816 + 0.333315i \(0.108167\pi\)
−0.942816 + 0.333315i \(0.891833\pi\)
\(410\) −1.87867e11 3.25396e11i −0.0162156 0.0280862i
\(411\) −1.51181e13 2.61853e13i −1.28910 2.23279i
\(412\) −7.46534e12 + 1.29303e13i −0.628873 + 1.08924i
\(413\) 1.13147e13 + 6.53254e12i 0.941656 + 0.543665i
\(414\) 5.31492e12i 0.437014i
\(415\) −1.47497e13 8.51575e12i −1.19824 0.691803i
\(416\) 1.89552e12 + 1.09438e12i 0.152147 + 0.0878419i
\(417\) 1.95207e13 + 1.12703e13i 1.54816 + 0.893828i
\(418\) 9.16256e10 + 1.58700e11i 0.00718018 + 0.0124364i
\(419\) 3.55569e12i 0.275330i 0.990479 + 0.137665i \(0.0439597\pi\)
−0.990479 + 0.137665i \(0.956040\pi\)
\(420\) 8.84610e12 5.10730e12i 0.676870 0.390791i
\(421\) −1.04110e13 6.01078e12i −0.787192 0.454486i 0.0517809 0.998658i \(-0.483510\pi\)
−0.838973 + 0.544173i \(0.816844\pi\)
\(422\) 3.88814e12 0.290522
\(423\) −2.19145e13 + 3.79571e13i −1.61819 + 2.80279i
\(424\) −6.82959e12 + 3.94307e12i −0.498386 + 0.287743i
\(425\) 4.62654e12 + 8.01340e12i 0.333666 + 0.577926i
\(426\) 9.03398e11i 0.0643919i
\(427\) −7.43665e12 1.28807e13i −0.523888 0.907400i
\(428\) 1.33891e12 0.0932247
\(429\) 1.09143e13i 0.751119i
\(430\) −1.07830e12 2.08368e12i −0.0733498 0.141739i
\(431\) 2.16720e13 1.45718 0.728588 0.684953i \(-0.240177\pi\)
0.728588 + 0.684953i \(0.240177\pi\)
\(432\) 3.60335e13i 2.39490i
\(433\) 1.77668e12 1.02577e12i 0.116727 0.0673922i −0.440500 0.897753i \(-0.645199\pi\)
0.557227 + 0.830360i \(0.311865\pi\)
\(434\) −5.57174e11 −0.0361862
\(435\) 1.86812e12 1.07856e12i 0.119939 0.0692467i
\(436\) −4.48807e12 7.77357e12i −0.284857 0.493388i
\(437\) 4.92729e11 + 2.84477e11i 0.0309172 + 0.0178501i
\(438\) 2.36862e12i 0.146935i
\(439\) −1.10726e13 + 1.91784e13i −0.679092 + 1.17622i 0.296162 + 0.955138i \(0.404293\pi\)
−0.975255 + 0.221085i \(0.929040\pi\)
\(440\) −3.65712e12 6.33432e12i −0.221756 0.384093i
\(441\) −2.60664e13 −1.56275
\(442\) 1.26115e12 7.28122e11i 0.0747573 0.0431612i
\(443\) 1.67122e12 2.89465e12i 0.0979527 0.169659i −0.812884 0.582425i \(-0.802104\pi\)
0.910837 + 0.412766i \(0.135437\pi\)
\(444\) −6.96979e12 + 1.20720e13i −0.403929 + 0.699625i
\(445\) 2.80568e12 4.85958e12i 0.160782 0.278483i
\(446\) 3.56088e12 0.201782
\(447\) −1.52488e13 + 2.64116e13i −0.854471 + 1.47999i
\(448\) 6.84670e12 + 3.95294e12i 0.379394 + 0.219043i
\(449\) 4.69940e12 2.71320e12i 0.257520 0.148679i −0.365683 0.930740i \(-0.619164\pi\)
0.623203 + 0.782060i \(0.285831\pi\)
\(450\) −4.29654e12 + 2.48061e12i −0.232839 + 0.134430i
\(451\) 5.40193e12 0.289512
\(452\) 3.02810e13i 1.60501i
\(453\) −2.31528e13 4.01018e13i −1.21370 2.10219i
\(454\) −1.75582e12 3.04118e12i −0.0910336 0.157675i
\(455\) −1.20802e12 + 2.09235e12i −0.0619466 + 0.107295i
\(456\) −6.27957e11 3.62551e11i −0.0318497 0.0183884i
\(457\) 2.77354e13i 1.39140i −0.718331 0.695702i \(-0.755093\pi\)
0.718331 0.695702i \(-0.244907\pi\)
\(458\) −3.52844e12 2.03715e12i −0.175088 0.101087i
\(459\) 6.81686e13 + 3.93572e13i 3.34596 + 1.93179i
\(460\) −9.58438e12 5.53355e12i −0.465345 0.268667i
\(461\) −8.10810e11 1.40436e12i −0.0389417 0.0674489i 0.845898 0.533345i \(-0.179065\pi\)
−0.884839 + 0.465896i \(0.845732\pi\)
\(462\) 7.62842e12i 0.362430i
\(463\) −6.23930e12 + 3.60226e12i −0.293245 + 0.169305i −0.639405 0.768871i \(-0.720819\pi\)
0.346159 + 0.938176i \(0.387486\pi\)
\(464\) 1.64046e12 + 9.47119e11i 0.0762738 + 0.0440367i
\(465\) 7.77052e12 0.357425
\(466\) −6.85128e11 + 1.18668e12i −0.0311776 + 0.0540012i
\(467\) −5.12440e12 + 2.95857e12i −0.230706 + 0.133198i −0.610898 0.791710i \(-0.709191\pi\)
0.380192 + 0.924908i \(0.375858\pi\)
\(468\) −7.51555e12 1.30173e13i −0.334758 0.579818i
\(469\) 1.36399e13i 0.601101i
\(470\) 2.37036e12 + 4.10559e12i 0.103354 + 0.179014i
\(471\) −6.78504e13 −2.92717
\(472\) 1.80404e13i 0.770081i
\(473\) 3.36949e13 + 1.55271e12i 1.42317 + 0.0655819i
\(474\) −7.65445e12 −0.319906
\(475\) 5.31091e11i 0.0219635i
\(476\) 1.69691e13 9.79710e12i 0.694422 0.400925i
\(477\) 8.19214e13 3.31746
\(478\) 2.65382e12 1.53218e12i 0.106349 0.0614005i
\(479\) −1.10626e13 1.91609e13i −0.438711 0.759870i 0.558879 0.829249i \(-0.311231\pi\)
−0.997590 + 0.0693792i \(0.977898\pi\)
\(480\) 1.84768e13 + 1.06676e13i 0.725138 + 0.418658i
\(481\) 3.29711e12i 0.128058i
\(482\) 1.33649e12 2.31487e12i 0.0513725 0.0889798i
\(483\) −1.18423e13 2.05114e13i −0.450504 0.780297i
\(484\) 2.59989e13 0.978878
\(485\) −2.48079e13 + 1.43228e13i −0.924445 + 0.533728i
\(486\) −7.02212e12 + 1.21627e13i −0.258992 + 0.448588i
\(487\) 2.46698e13 4.27293e13i 0.900576 1.55984i 0.0738273 0.997271i \(-0.476479\pi\)
0.826748 0.562572i \(-0.190188\pi\)
\(488\) 1.02686e13 1.77858e13i 0.371033 0.642648i
\(489\) −1.91860e13 −0.686182
\(490\) −1.40972e12 + 2.44171e12i −0.0499061 + 0.0864399i
\(491\) −2.31349e13 1.33569e13i −0.810699 0.468057i 0.0364998 0.999334i \(-0.488379\pi\)
−0.847198 + 0.531277i \(0.821712\pi\)
\(492\) −9.02123e12 + 5.20841e12i −0.312925 + 0.180667i
\(493\) 3.58354e12 2.06896e12i 0.123049 0.0710423i
\(494\) 8.35828e10 0.00284107
\(495\) 7.59805e13i 2.55668i
\(496\) 3.41177e12 + 5.90935e12i 0.113650 + 0.196848i
\(497\) 1.43756e12 + 2.48993e12i 0.0474072 + 0.0821116i
\(498\) 1.22637e13 2.12414e13i 0.400383 0.693484i
\(499\) 4.07141e12 + 2.35063e12i 0.131596 + 0.0759768i 0.564353 0.825534i \(-0.309126\pi\)
−0.432757 + 0.901511i \(0.642459\pi\)
\(500\) 3.16657e13i 1.01330i
\(501\) 3.65630e13 + 2.11096e13i 1.15838 + 0.668794i
\(502\) 5.63708e12 + 3.25457e12i 0.176822 + 0.102088i
\(503\) −4.36304e13 2.51900e13i −1.35503 0.782328i −0.366082 0.930582i \(-0.619301\pi\)
−0.988949 + 0.148255i \(0.952634\pi\)
\(504\) 1.07787e13 + 1.86692e13i 0.331446 + 0.574081i
\(505\) 2.39757e12i 0.0729987i
\(506\) −7.15777e12 + 4.13254e12i −0.215787 + 0.124585i
\(507\) −4.99546e13 2.88413e13i −1.49120 0.860944i
\(508\) −1.65096e13 −0.487997
\(509\) −5.64287e11 + 9.77375e11i −0.0165163 + 0.0286070i −0.874165 0.485628i \(-0.838591\pi\)
0.857649 + 0.514235i \(0.171924\pi\)
\(510\) 1.22931e13 7.09745e12i 0.356297 0.205708i
\(511\) −3.76914e12 6.52834e12i −0.108178 0.187369i
\(512\) 3.17640e13i 0.902787i
\(513\) 2.25895e12 + 3.91261e12i 0.0635798 + 0.110123i
\(514\) −1.08512e13 −0.302455
\(515\) 3.44239e13i 0.950221i
\(516\) −5.77676e13 + 2.98947e13i −1.57919 + 0.817234i
\(517\) −6.81573e13 −1.84527
\(518\) 2.30448e12i 0.0617907i
\(519\) 7.12071e13 4.11114e13i 1.89098 1.09176i
\(520\) −3.33610e12 −0.0877450
\(521\) −6.67141e12 + 3.85174e12i −0.173792 + 0.100339i −0.584372 0.811486i \(-0.698659\pi\)
0.410581 + 0.911824i \(0.365326\pi\)
\(522\) 1.10931e12 + 1.92138e12i 0.0286221 + 0.0495749i
\(523\) 4.90968e13 + 2.83461e13i 1.25471 + 0.724410i 0.972042 0.234807i \(-0.0754457\pi\)
0.282672 + 0.959216i \(0.408779\pi\)
\(524\) 5.47777e13i 1.38659i
\(525\) 1.10542e13 1.91464e13i 0.277160 0.480054i
\(526\) 4.13589e12 + 7.16357e12i 0.102716 + 0.177910i
\(527\) 1.49058e13 0.366694
\(528\) −8.09065e13 + 4.67114e13i −1.97158 + 1.13829i
\(529\) 7.88265e12 1.36531e13i 0.190280 0.329575i
\(530\) 4.43047e12 7.67380e12i 0.105943 0.183498i
\(531\) 9.37021e13 1.62297e14i 2.21961 3.84448i
\(532\) 1.12463e12 0.0263908
\(533\) 1.23194e12 2.13378e12i 0.0286387 0.0496036i
\(534\) 6.99839e12 + 4.04052e12i 0.161173 + 0.0930532i
\(535\) −2.67339e12 + 1.54348e12i −0.0609948 + 0.0352154i
\(536\) 1.63108e13 9.41707e12i 0.368682 0.212859i
\(537\) 7.16010e13 1.60342
\(538\) 1.28208e13i 0.284448i
\(539\) −2.02676e13 3.51045e13i −0.445510 0.771647i
\(540\) −4.39402e13 7.61067e13i −0.956960 1.65750i
\(541\) −1.00836e12 + 1.74653e12i −0.0217585 + 0.0376868i −0.876700 0.481038i \(-0.840260\pi\)
0.854941 + 0.518725i \(0.173593\pi\)
\(542\) −2.81458e12 1.62500e12i −0.0601752 0.0347422i
\(543\) 3.82570e13i 0.810422i
\(544\) 3.54432e13 + 2.04632e13i 0.743941 + 0.429515i
\(545\) 1.79226e13 + 1.03476e13i 0.372752 + 0.215208i
\(546\) −3.01325e12 1.73970e12i −0.0620972 0.0358518i
\(547\) −2.26585e13 3.92458e13i −0.462696 0.801412i 0.536399 0.843965i \(-0.319784\pi\)
−0.999094 + 0.0425524i \(0.986451\pi\)
\(548\) 6.47549e13i 1.31030i
\(549\) −1.84759e14 + 1.06671e14i −3.70462 + 2.13886i
\(550\) −6.68143e12 3.85752e12i −0.132757 0.0766470i
\(551\) 2.37500e11 0.00467634
\(552\) 1.63519e13 2.83224e13i 0.319061 0.552630i
\(553\) 2.10970e13 1.21804e13i 0.407940 0.235524i
\(554\) 4.01267e12 + 6.95015e12i 0.0768926 + 0.133182i
\(555\) 3.21389e13i 0.610332i
\(556\) −2.41368e13 4.18061e13i −0.454261 0.786803i
\(557\) −7.57973e13 −1.41377 −0.706884 0.707330i \(-0.749900\pi\)
−0.706884 + 0.707330i \(0.749900\pi\)
\(558\) 7.99205e12i 0.147736i
\(559\) 8.29761e12 1.29555e13i 0.152018 0.237353i
\(560\) −2.06805e13 −0.375510
\(561\) 2.04080e14i 3.67270i
\(562\) −3.13376e12 + 1.80928e12i −0.0558964 + 0.0322718i
\(563\) 8.90346e13 1.57404 0.787022 0.616925i \(-0.211622\pi\)
0.787022 + 0.616925i \(0.211622\pi\)
\(564\) 1.13823e14 6.57156e13i 1.99450 1.15152i
\(565\) −3.49077e13 6.04619e13i −0.606288 1.05012i
\(566\) 2.62701e12 + 1.51671e12i 0.0452251 + 0.0261107i
\(567\) 9.84509e13i 1.67998i
\(568\) −1.98500e12 + 3.43812e12i −0.0335752 + 0.0581539i
\(569\) 2.93387e11 + 5.08161e11i 0.00491903 + 0.00852001i 0.868474 0.495734i \(-0.165101\pi\)
−0.863555 + 0.504254i \(0.831768\pi\)
\(570\) 8.14732e11 0.0135407
\(571\) 2.77373e13 1.60142e13i 0.456966 0.263830i −0.253801 0.967256i \(-0.581681\pi\)
0.710768 + 0.703427i \(0.248348\pi\)
\(572\) 1.16872e13 2.02428e13i 0.190867 0.330591i
\(573\) −8.56885e13 + 1.48417e14i −1.38723 + 2.40276i
\(574\) −8.61049e11 + 1.49138e12i −0.0138187 + 0.0239347i
\(575\) −2.39535e13 −0.381092
\(576\) 5.67006e13 9.82083e13i 0.894284 1.54894i
\(577\) −5.68126e13 3.28008e13i −0.888312 0.512867i −0.0149220 0.999889i \(-0.504750\pi\)
−0.873390 + 0.487021i \(0.838083\pi\)
\(578\) 1.11664e13 6.44692e12i 0.173091 0.0999340i
\(579\) 1.57806e14 9.11093e13i 2.42511 1.40014i
\(580\) −4.61977e12 −0.0703851
\(581\) 7.80602e13i 1.17909i
\(582\) −2.06266e13 3.57264e13i −0.308897 0.535025i
\(583\) 6.36968e13 + 1.10326e14i 0.945746 + 1.63808i
\(584\) 5.20447e12 9.01440e12i 0.0766147 0.132701i
\(585\) 3.00125e13 + 1.73277e13i 0.438050 + 0.252908i
\(586\) 2.45879e13i 0.355822i
\(587\) 1.67337e13 + 9.66122e12i 0.240106 + 0.138625i 0.615225 0.788351i \(-0.289065\pi\)
−0.375120 + 0.926976i \(0.622398\pi\)
\(588\) 6.76938e13 + 3.90830e13i 0.963079 + 0.556034i
\(589\) 7.40917e11 + 4.27768e11i 0.0104518 + 0.00603437i
\(590\) −1.01352e13 1.75547e13i −0.141766 0.245546i
\(591\) 8.23115e13i 1.14162i
\(592\) 2.44411e13 1.41111e13i 0.336134 0.194067i
\(593\) −1.04983e14 6.06121e13i −1.43168 0.826582i −0.434433 0.900704i \(-0.643051\pi\)
−0.997249 + 0.0741225i \(0.976384\pi\)
\(594\) −6.56305e13 −0.887511
\(595\) −2.25881e13 + 3.91237e13i −0.302896 + 0.524632i
\(596\) 5.65641e13 3.26573e13i 0.752159 0.434259i
\(597\) 1.26937e14 + 2.19861e14i 1.67385 + 2.89919i
\(598\) 3.76979e12i 0.0492959i
\(599\) −2.34037e13 4.05363e13i −0.303494 0.525666i 0.673431 0.739250i \(-0.264820\pi\)
−0.976925 + 0.213583i \(0.931486\pi\)
\(600\) 3.05275e13 0.392586
\(601\) 9.07247e13i 1.15705i 0.815664 + 0.578527i \(0.196372\pi\)
−0.815664 + 0.578527i \(0.803628\pi\)
\(602\) −5.79952e12 + 9.05508e12i −0.0733516 + 0.114528i
\(603\) −1.95649e14 −2.45410
\(604\) 9.91696e13i 1.23366i
\(605\) −5.19119e13 + 2.99714e13i −0.640457 + 0.369768i
\(606\) −3.45280e12 −0.0422483
\(607\) −2.37638e12 + 1.37200e12i −0.0288385 + 0.0166499i −0.514350 0.857580i \(-0.671967\pi\)
0.485511 + 0.874230i \(0.338633\pi\)
\(608\) 1.17451e12 + 2.03430e12i 0.0141363 + 0.0244849i
\(609\) −8.56214e12 4.94335e12i −0.102211 0.0590113i
\(610\) 2.30758e13i 0.273217i
\(611\) −1.55436e13 + 2.69223e13i −0.182535 + 0.316160i
\(612\) −1.40529e14 2.43403e14i −1.63685 2.83510i
\(613\) 1.14718e14 1.32534 0.662671 0.748911i \(-0.269423\pi\)
0.662671 + 0.748911i \(0.269423\pi\)
\(614\) −1.85159e13 + 1.06902e13i −0.212180 + 0.122502i
\(615\) 1.20084e13 2.07992e13i 0.136493 0.236413i
\(616\) −1.67616e13 + 2.90320e13i −0.188978 + 0.327320i
\(617\) −1.25510e13 + 2.17390e13i −0.140363 + 0.243116i −0.927633 0.373492i \(-0.878160\pi\)
0.787270 + 0.616608i \(0.211494\pi\)
\(618\) 4.95747e13 0.549943
\(619\) −2.91027e13 + 5.04073e13i −0.320243 + 0.554677i −0.980538 0.196329i \(-0.937098\pi\)
0.660295 + 0.751006i \(0.270431\pi\)
\(620\) −1.44121e13 8.32080e12i −0.157314 0.0908253i
\(621\) −1.76468e14 + 1.01884e14i −1.91077 + 1.10318i
\(622\) −1.17687e13 + 6.79464e12i −0.126408 + 0.0729818i
\(623\) −2.57184e13 −0.274034
\(624\) 4.26111e13i 0.450401i
\(625\) 1.34153e13 + 2.32359e13i 0.140669 + 0.243646i
\(626\) −1.66101e13 2.87695e13i −0.172783 0.299269i
\(627\) −5.85669e12 + 1.01441e13i −0.0604386 + 0.104683i
\(628\) 1.25843e14 + 7.26554e13i 1.28834 + 0.743823i
\(629\) 6.16506e13i 0.626158i
\(630\) −2.09769e13 1.21110e13i −0.211368 0.122033i
\(631\) 7.13493e13 + 4.11935e13i 0.713252 + 0.411796i 0.812264 0.583290i \(-0.198235\pi\)
−0.0990123 + 0.995086i \(0.531568\pi\)
\(632\) 2.91310e13 + 1.68188e13i 0.288915 + 0.166805i
\(633\) 1.24264e14 + 2.15232e14i 1.22272 + 2.11782i
\(634\) 4.14753e13i 0.404895i
\(635\) 3.29646e13 1.90321e13i 0.319285 0.184339i
\(636\) −2.12747e14 1.22830e14i −2.04446 1.18037i
\(637\) −1.84885e13 −0.176281
\(638\) −1.72506e12 + 2.98789e12i −0.0163193 + 0.0282658i
\(639\) 3.57153e13 2.06202e13i 0.335235 0.193548i
\(640\) −3.01658e13 5.22486e13i −0.280941 0.486603i
\(641\) 2.19924e13i 0.203227i 0.994824 + 0.101614i \(0.0324005\pi\)
−0.994824 + 0.101614i \(0.967599\pi\)
\(642\) −2.22280e12 3.85001e12i −0.0203810 0.0353009i
\(643\) −6.08068e13 −0.553219 −0.276609 0.960982i \(-0.589211\pi\)
−0.276609 + 0.960982i \(0.589211\pi\)
\(644\) 5.07236e13i 0.457911i
\(645\) 8.08818e13 1.26285e14i 0.724523 1.13123i
\(646\) 1.56286e12 0.0138918
\(647\) 3.18475e13i 0.280902i −0.990088 0.140451i \(-0.955145\pi\)
0.990088 0.140451i \(-0.0448552\pi\)
\(648\) 1.17729e14 6.79711e13i 1.03041 0.594907i
\(649\) 2.91427e14 2.53108
\(650\) −3.04747e12 + 1.75946e12i −0.0262647 + 0.0151639i
\(651\) −1.78072e13 3.08430e13i −0.152297 0.263786i
\(652\) 3.55844e13 + 2.05447e13i 0.302010 + 0.174366i
\(653\) 2.91392e13i 0.245421i −0.992443 0.122710i \(-0.960841\pi\)
0.992443 0.122710i \(-0.0391586\pi\)
\(654\) −1.49019e13 + 2.58108e13i −0.124552 + 0.215731i
\(655\) −6.31473e13 1.09374e14i −0.523780 0.907213i
\(656\) 2.10900e13 0.173603
\(657\) −9.36418e13 + 5.40641e13i −0.764968 + 0.441654i
\(658\) 1.08640e13 1.88171e13i 0.0880768 0.152553i
\(659\) −5.37321e13 + 9.30668e13i −0.432322 + 0.748803i −0.997073 0.0764580i \(-0.975639\pi\)
0.564751 + 0.825261i \(0.308972\pi\)
\(660\) 1.13922e14 1.97319e14i 0.909681 1.57561i
\(661\) −3.30632e13 −0.262022 −0.131011 0.991381i \(-0.541822\pi\)
−0.131011 + 0.991381i \(0.541822\pi\)
\(662\) −4.37077e12 + 7.57040e12i −0.0343770 + 0.0595428i
\(663\) 8.06121e13 + 4.65414e13i 0.629263 + 0.363305i
\(664\) −9.33457e13 + 5.38932e13i −0.723193 + 0.417535i
\(665\) −2.24555e12 + 1.29647e12i −0.0172669 + 0.00996903i
\(666\) 3.30552e13 0.252272
\(667\) 1.07118e13i 0.0811400i
\(668\) −4.52091e13 7.83045e13i −0.339894 0.588714i
\(669\) 1.13805e14 + 1.97117e14i 0.849243 + 1.47093i
\(670\) −1.05811e13 + 1.83270e13i −0.0783713 + 0.135743i
\(671\) −2.87313e14 1.65880e14i −2.11224 1.21950i
\(672\) 9.77851e13i 0.713553i
\(673\) −1.28341e14 7.40979e13i −0.929589 0.536698i −0.0429074 0.999079i \(-0.513662\pi\)
−0.886682 + 0.462381i \(0.846995\pi\)
\(674\) −3.65618e13 2.11090e13i −0.262862 0.151764i
\(675\) −1.64725e14 9.51038e13i −1.17555 0.678702i
\(676\) 6.17675e13 + 1.06984e14i 0.437549 + 0.757856i
\(677\) 1.38619e14i 0.974722i −0.873201 0.487361i \(-0.837960\pi\)
0.873201 0.487361i \(-0.162040\pi\)
\(678\) 8.70726e13 5.02714e13i 0.607761 0.350891i
\(679\) 1.13701e14 + 6.56456e13i 0.787802 + 0.454838i
\(680\) −6.23797e13 −0.429041
\(681\) 1.12232e14 1.94391e14i 0.766268 1.32721i
\(682\) −1.07631e13 + 6.21411e12i −0.0729487 + 0.0421169i
\(683\) 2.15312e13 + 3.72931e13i 0.144865 + 0.250914i 0.929323 0.369269i \(-0.120392\pi\)
−0.784457 + 0.620183i \(0.787058\pi\)
\(684\) 1.61316e13i 0.107745i
\(685\) −7.46490e13 1.29296e14i −0.494961 0.857298i
\(686\) 3.35843e13 0.221063
\(687\) 2.60428e14i 1.70178i
\(688\) 1.31550e14 + 6.06202e12i 0.853392 + 0.0393256i
\(689\) 5.81055e13 0.374215
\(690\) 3.67464e13i 0.234947i
\(691\) 1.89559e14 1.09442e14i 1.20324 0.694693i 0.241969 0.970284i \(-0.422207\pi\)
0.961275 + 0.275591i \(0.0888734\pi\)
\(692\) −1.76091e14 −1.10970
\(693\) 3.01585e14 1.74120e14i 1.88687 1.08939i
\(694\) 1.25366e13 + 2.17140e13i 0.0778722 + 0.134879i
\(695\) 9.63877e13 + 5.56495e13i 0.594426 + 0.343192i
\(696\) 1.36517e13i 0.0835872i
\(697\) 2.30353e13 3.98982e13i 0.140033 0.242544i
\(698\) 3.24785e13 + 5.62545e13i 0.196028 + 0.339531i
\(699\) −8.75865e13 −0.524869
\(700\) −4.10046e13 + 2.36740e13i −0.243973 + 0.140858i
\(701\) −7.99416e12 + 1.38463e13i −0.0472262 + 0.0817981i −0.888672 0.458543i \(-0.848371\pi\)
0.841446 + 0.540341i \(0.181705\pi\)
\(702\) −1.49674e13 + 2.59243e13i −0.0877931 + 0.152062i
\(703\) 1.76925e12 3.06443e12i 0.0103042 0.0178474i
\(704\) 1.76347e14 1.01978
\(705\) −1.51513e14 + 2.62428e14i −0.869970 + 1.50683i
\(706\) 2.34093e13 + 1.35154e13i 0.133464 + 0.0770556i
\(707\) 9.51654e12 5.49438e12i 0.0538744 0.0311044i
\(708\) −4.86683e14 + 2.80987e14i −2.73577 + 1.57950i
\(709\) −1.67665e14 −0.935862 −0.467931 0.883765i \(-0.655000\pi\)
−0.467931 + 0.883765i \(0.655000\pi\)
\(710\) 4.46073e12i 0.0247237i
\(711\) −1.74714e14 3.02614e14i −0.961569 1.66549i
\(712\) −1.77561e13 3.07545e13i −0.0970395 0.168077i
\(713\) −1.92934e13 + 3.34171e13i −0.104703 + 0.181352i
\(714\) −5.63429e13 3.25296e13i −0.303632 0.175302i
\(715\) 5.38917e13i 0.288398i
\(716\) −1.32799e14 7.66716e13i −0.705716 0.407446i
\(717\) 1.69632e14 + 9.79369e13i 0.895181 + 0.516833i
\(718\) −2.91830e13 1.68488e13i −0.152935 0.0882973i
\(719\) 1.35992e14 + 2.35545e14i 0.707732 + 1.22583i 0.965697 + 0.259673i \(0.0836147\pi\)
−0.257965 + 0.966154i \(0.583052\pi\)
\(720\) 2.96640e14i 1.53309i
\(721\) −1.36637e14 + 7.88873e13i −0.701280 + 0.404884i
\(722\) −3.76789e13 2.17539e13i −0.192049 0.110880i
\(723\) 1.70856e14 0.864848
\(724\) −4.09662e13 + 7.09556e13i −0.205936 + 0.356692i
\(725\) −8.65937e12 + 4.99949e12i −0.0432311 + 0.0249595i
\(726\) −4.31625e13 7.47596e13i −0.214005 0.370667i
\(727\) 2.30468e14i 1.13485i 0.823425 + 0.567426i \(0.192061\pi\)
−0.823425 + 0.567426i \(0.807939\pi\)
\(728\) 7.64514e12 + 1.32418e13i 0.0373877 + 0.0647574i
\(729\) −3.32549e14 −1.61517
\(730\) 1.16956e13i 0.0564167i
\(731\) 1.55152e14 2.42246e14i 0.743311 1.16057i
\(732\) 6.39752e14 3.04408
\(733\) 2.51868e14i 1.19029i −0.803618 0.595145i \(-0.797095\pi\)
0.803618 0.595145i \(-0.202905\pi\)
\(734\) 6.02872e13 3.48068e13i 0.282973 0.163374i
\(735\) −1.80218e14 −0.840161
\(736\) −9.17520e13 + 5.29731e13i −0.424841 + 0.245282i
\(737\) −1.52124e14 2.63487e14i −0.699619 1.21178i
\(738\) 2.13922e13 + 1.23508e13i 0.0977178 + 0.0564174i
\(739\) 1.14571e14i 0.519818i 0.965633 + 0.259909i \(0.0836926\pi\)
−0.965633 + 0.259909i \(0.916307\pi\)
\(740\) −3.44149e13 + 5.96083e13i −0.155091 + 0.268626i
\(741\) 2.67130e12 + 4.62682e12i 0.0119572 + 0.0207105i
\(742\) −4.06122e13 −0.180566
\(743\) −1.82780e14 + 1.05528e14i −0.807208 + 0.466042i −0.845985 0.533206i \(-0.820987\pi\)
0.0387776 + 0.999248i \(0.487654\pi\)
\(744\) 2.45884e13 4.25884e13i 0.107861 0.186821i
\(745\) −7.52942e13 + 1.30413e14i −0.328080 + 0.568252i
\(746\) 1.34951e13 2.33742e13i 0.0584092 0.101168i
\(747\) 1.11969e15 4.81386
\(748\) 2.18532e14 3.78509e14i 0.933270 1.61647i
\(749\) 1.22529e13 + 7.07420e12i 0.0519791 + 0.0300102i
\(750\) −9.10544e13 + 5.25703e13i −0.383702 + 0.221531i
\(751\) 1.96061e14 1.13196e14i 0.820713 0.473839i −0.0299492 0.999551i \(-0.509535\pi\)
0.850662 + 0.525712i \(0.176201\pi\)
\(752\) −2.66097e14 −1.10650
\(753\) 4.16063e14i 1.71864i
\(754\) 7.86817e11 + 1.36281e12i 0.00322862 + 0.00559213i
\(755\) −1.14322e14 1.98012e14i −0.466010 0.807153i
\(756\) −2.01390e14 + 3.48819e14i −0.815511 + 1.41251i
\(757\) 6.70047e13 + 3.86852e13i 0.269542 + 0.155620i 0.628679 0.777665i \(-0.283596\pi\)
−0.359138 + 0.933285i \(0.616929\pi\)
\(758\) 3.30079e13i 0.131908i
\(759\) −4.57523e14 2.64151e14i −1.81637 1.04868i
\(760\) −3.10068e12 1.79018e12i −0.0122289 0.00706037i
\(761\) 2.93251e13 + 1.69309e13i 0.114899 + 0.0663370i 0.556348 0.830949i \(-0.312202\pi\)
−0.441449 + 0.897286i \(0.645535\pi\)
\(762\) 2.74086e13 + 4.74731e13i