Properties

Label 4.37.b.b.3.3
Level 4
Weight 37
Character 4.3
Analytic conductor 32.837
Analytic rank 0
Dimension 16
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 4 = 2^{2} \)
Weight: \( k \) \(=\) \( 37 \)
Character orbit: \([\chi]\) \(=\) 4.b (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(32.8365034637\)
Analytic rank: \(0\)
Dimension: \(16\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 6516989503065492 x^{14} + \)\(17\!\cdots\!98\)\( x^{12} + \)\(23\!\cdots\!44\)\( x^{10} + \)\(17\!\cdots\!45\)\( x^{8} + \)\(72\!\cdots\!20\)\( x^{6} + \)\(15\!\cdots\!00\)\( x^{4} + \)\(15\!\cdots\!00\)\( x^{2} + \)\(51\!\cdots\!00\)\(\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: multiple of \( 2^{240}\cdot 3^{24}\cdot 5^{6}\cdot 7^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 3.3
Root \(4.46418e7i\) of defining polynomial
Character \(\chi\) \(=\) 4.3
Dual form 4.37.b.b.3.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-210329. - 156464. i) q^{2} +7.14268e8i q^{3} +(1.97575e10 + 6.58180e10i) q^{4} +8.84656e11 q^{5} +(1.11757e14 - 1.50232e14i) q^{6} +1.08208e15i q^{7} +(6.14256e15 - 1.69348e16i) q^{8} -3.60085e17 q^{9} +O(q^{10})\) \(q+(-210329. - 156464. i) q^{2} +7.14268e8i q^{3} +(1.97575e10 + 6.58180e10i) q^{4} +8.84656e11 q^{5} +(1.11757e14 - 1.50232e14i) q^{6} +1.08208e15i q^{7} +(6.14256e15 - 1.69348e16i) q^{8} -3.60085e17 q^{9} +(-1.86069e17 - 1.38417e17i) q^{10} -6.19426e18i q^{11} +(-4.70117e19 + 1.41122e19i) q^{12} -1.29480e20 q^{13} +(1.69307e20 - 2.27594e20i) q^{14} +6.31882e20i q^{15} +(-3.94165e21 + 2.60080e21i) q^{16} +1.60201e22 q^{17} +(7.57364e22 + 5.63403e22i) q^{18} +7.21971e22i q^{19} +(1.74786e22 + 5.82263e22i) q^{20} -7.72898e23 q^{21} +(-9.69179e23 + 1.30284e24i) q^{22} -5.50534e24i q^{23} +(1.20960e25 + 4.38744e24i) q^{24} -1.37693e25 q^{25} +(2.72334e25 + 2.02589e25i) q^{26} -1.49989e26i q^{27} +(-7.12206e25 + 2.13793e25i) q^{28} -2.40170e26 q^{29} +(9.88667e25 - 1.32903e26i) q^{30} +3.47564e26i q^{31} +(1.23598e27 + 6.97018e25i) q^{32} +4.42437e27 q^{33} +(-3.36950e27 - 2.50657e27i) q^{34} +9.57272e26i q^{35} +(-7.11437e27 - 2.37000e28i) q^{36} -4.85919e26 q^{37} +(1.12963e28 - 1.51852e28i) q^{38} -9.24832e28i q^{39} +(5.43405e27 - 1.49815e28i) q^{40} +1.61141e28 q^{41} +(1.62563e29 + 1.20931e29i) q^{42} -2.17024e29i q^{43} +(4.07694e29 - 1.22383e29i) q^{44} -3.18551e29 q^{45} +(-8.61387e29 + 1.15793e30i) q^{46} +3.68245e28i q^{47} +(-1.85767e30 - 2.81540e30i) q^{48} +1.48082e30 q^{49} +(2.89609e30 + 2.15440e30i) q^{50} +1.14427e31i q^{51} +(-2.55819e30 - 8.52208e30i) q^{52} +5.88414e30 q^{53} +(-2.34679e31 + 3.15471e31i) q^{54} -5.47979e30i q^{55} +(1.83249e31 + 6.64677e30i) q^{56} -5.15681e31 q^{57} +(5.05148e31 + 3.75780e31i) q^{58} -7.36347e31i q^{59} +(-4.15892e31 + 1.24844e31i) q^{60} +2.36737e32 q^{61} +(5.43812e31 - 7.31029e31i) q^{62} -3.89642e32i q^{63} +(-2.49056e32 - 2.08046e32i) q^{64} -1.14545e32 q^{65} +(-9.30575e32 - 6.92254e32i) q^{66} +3.51092e32i q^{67} +(3.16517e32 + 1.05441e33i) q^{68} +3.93229e33 q^{69} +(1.49779e32 - 2.01343e32i) q^{70} -7.98310e32i q^{71} +(-2.21184e33 + 6.09796e33i) q^{72} -4.73322e33 q^{73} +(1.02203e32 + 7.60289e31i) q^{74} -9.83497e33i q^{75} +(-4.75187e33 + 1.42643e33i) q^{76} +6.70271e33 q^{77} +(-1.44703e34 + 1.94519e34i) q^{78} +8.69667e32i q^{79} +(-3.48700e33 + 2.30081e33i) q^{80} +5.30858e34 q^{81} +(-3.38927e33 - 2.52128e33i) q^{82} +2.72310e34i q^{83} +(-1.52705e34 - 5.08706e34i) q^{84} +1.41723e34 q^{85} +(-3.39564e34 + 4.56465e34i) q^{86} -1.71546e35i q^{87} +(-1.04899e35 - 3.80487e34i) q^{88} +4.88377e34 q^{89} +(6.70007e34 + 4.98418e34i) q^{90} -1.40108e35i q^{91} +(3.62350e35 - 1.08772e35i) q^{92} -2.48254e35 q^{93} +(5.76171e33 - 7.74528e33i) q^{94} +6.38696e34i q^{95} +(-4.97858e34 + 8.82819e35i) q^{96} -1.09730e35 q^{97} +(-3.11461e35 - 2.31696e35i) q^{98} +2.23046e36i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 177228q^{2} - 5610707696q^{4} + 5816089539360q^{5} - 217628996575488q^{6} + 11897560228206528q^{8} - 935184460817545968q^{9} + O(q^{10}) \) \( 16q + 177228q^{2} - 5610707696q^{4} + 5816089539360q^{5} - 217628996575488q^{6} + 11897560228206528q^{8} - 935184460817545968q^{9} - 2378142919315561000q^{10} - 42882825786868930560q^{12} + \)\(19\!\cdots\!76\)\(q^{13} + \)\(36\!\cdots\!28\)\(q^{14} - \)\(22\!\cdots\!84\)\(q^{16} + \)\(41\!\cdots\!76\)\(q^{17} + \)\(13\!\cdots\!68\)\(q^{18} + \)\(10\!\cdots\!40\)\(q^{20} - \)\(17\!\cdots\!96\)\(q^{21} - \)\(43\!\cdots\!40\)\(q^{22} + \)\(51\!\cdots\!68\)\(q^{24} + \)\(61\!\cdots\!00\)\(q^{25} - \)\(70\!\cdots\!40\)\(q^{26} - \)\(30\!\cdots\!00\)\(q^{28} - \)\(95\!\cdots\!52\)\(q^{29} + \)\(36\!\cdots\!20\)\(q^{30} + \)\(46\!\cdots\!48\)\(q^{32} - \)\(87\!\cdots\!60\)\(q^{33} - \)\(90\!\cdots\!20\)\(q^{34} - \)\(92\!\cdots\!92\)\(q^{36} - \)\(30\!\cdots\!84\)\(q^{37} + \)\(78\!\cdots\!80\)\(q^{38} - \)\(13\!\cdots\!00\)\(q^{40} + \)\(99\!\cdots\!12\)\(q^{41} - \)\(19\!\cdots\!00\)\(q^{42} + \)\(30\!\cdots\!60\)\(q^{44} + \)\(15\!\cdots\!20\)\(q^{45} - \)\(91\!\cdots\!28\)\(q^{46} - \)\(15\!\cdots\!20\)\(q^{48} - \)\(11\!\cdots\!48\)\(q^{49} + \)\(11\!\cdots\!00\)\(q^{50} + \)\(16\!\cdots\!56\)\(q^{52} + \)\(20\!\cdots\!56\)\(q^{53} - \)\(42\!\cdots\!84\)\(q^{54} - \)\(18\!\cdots\!68\)\(q^{56} - \)\(17\!\cdots\!80\)\(q^{57} + \)\(33\!\cdots\!56\)\(q^{58} - \)\(69\!\cdots\!00\)\(q^{60} + \)\(21\!\cdots\!32\)\(q^{61} + \)\(40\!\cdots\!80\)\(q^{62} - \)\(26\!\cdots\!96\)\(q^{64} - \)\(20\!\cdots\!00\)\(q^{65} - \)\(81\!\cdots\!60\)\(q^{66} + \)\(35\!\cdots\!56\)\(q^{68} + \)\(39\!\cdots\!56\)\(q^{69} + \)\(31\!\cdots\!80\)\(q^{70} - \)\(18\!\cdots\!32\)\(q^{72} - \)\(13\!\cdots\!64\)\(q^{73} + \)\(76\!\cdots\!40\)\(q^{74} - \)\(15\!\cdots\!60\)\(q^{76} + \)\(22\!\cdots\!00\)\(q^{77} - \)\(18\!\cdots\!60\)\(q^{78} + \)\(67\!\cdots\!60\)\(q^{80} - \)\(40\!\cdots\!00\)\(q^{81} + \)\(43\!\cdots\!36\)\(q^{82} - \)\(37\!\cdots\!64\)\(q^{84} - \)\(20\!\cdots\!00\)\(q^{85} + \)\(10\!\cdots\!32\)\(q^{86} + \)\(39\!\cdots\!80\)\(q^{88} + \)\(46\!\cdots\!88\)\(q^{89} - \)\(36\!\cdots\!00\)\(q^{90} - \)\(17\!\cdots\!80\)\(q^{92} - \)\(23\!\cdots\!80\)\(q^{93} - \)\(69\!\cdots\!32\)\(q^{94} + \)\(10\!\cdots\!72\)\(q^{96} + \)\(45\!\cdots\!96\)\(q^{97} + \)\(10\!\cdots\!28\)\(q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/4\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −210329. 156464.i −0.802343 0.596863i
\(3\) 7.14268e8i 1.84365i 0.387605 + 0.921826i \(0.373303\pi\)
−0.387605 + 0.921826i \(0.626697\pi\)
\(4\) 1.97575e10 + 6.58180e10i 0.287509 + 0.957778i
\(5\) 8.84656e11 0.231907 0.115954 0.993255i \(-0.463008\pi\)
0.115954 + 0.993255i \(0.463008\pi\)
\(6\) 1.11757e14 1.50232e14i 1.10041 1.47924i
\(7\) 1.08208e15i 0.664502i 0.943191 + 0.332251i \(0.107808\pi\)
−0.943191 + 0.332251i \(0.892192\pi\)
\(8\) 6.14256e15 1.69348e16i 0.340981 0.940070i
\(9\) −3.60085e17 −2.39905
\(10\) −1.86069e17 1.38417e17i −0.186069 0.138417i
\(11\) 6.19426e18i 1.11409i −0.830481 0.557046i \(-0.811935\pi\)
0.830481 0.557046i \(-0.188065\pi\)
\(12\) −4.70117e19 + 1.41122e19i −1.76581 + 0.530067i
\(13\) −1.29480e20 −1.15139 −0.575693 0.817666i \(-0.695268\pi\)
−0.575693 + 0.817666i \(0.695268\pi\)
\(14\) 1.69307e20 2.27594e20i 0.396617 0.533159i
\(15\) 6.31882e20i 0.427556i
\(16\) −3.94165e21 + 2.60080e21i −0.834677 + 0.550740i
\(17\) 1.60201e22 1.13916 0.569580 0.821936i \(-0.307106\pi\)
0.569580 + 0.821936i \(0.307106\pi\)
\(18\) 7.57364e22 + 5.63403e22i 1.92486 + 1.43190i
\(19\) 7.21971e22i 0.693354i 0.937985 + 0.346677i \(0.112690\pi\)
−0.937985 + 0.346677i \(0.887310\pi\)
\(20\) 1.74786e22 + 5.82263e22i 0.0666755 + 0.222116i
\(21\) −7.72898e23 −1.22511
\(22\) −9.69179e23 + 1.30284e24i −0.664961 + 0.893885i
\(23\) 5.50534e24i 1.69700i −0.529192 0.848502i \(-0.677505\pi\)
0.529192 0.848502i \(-0.322495\pi\)
\(24\) 1.20960e25 + 4.38744e24i 1.73316 + 0.628650i
\(25\) −1.37693e25 −0.946219
\(26\) 2.72334e25 + 2.02589e25i 0.923807 + 0.687219i
\(27\) 1.49989e26i 2.57936i
\(28\) −7.12206e25 + 2.13793e25i −0.636445 + 0.191051i
\(29\) −2.40170e26 −1.14118 −0.570591 0.821234i \(-0.693286\pi\)
−0.570591 + 0.821234i \(0.693286\pi\)
\(30\) 9.88667e25 1.32903e26i 0.255192 0.343047i
\(31\) 3.47564e26i 0.497192i 0.968607 + 0.248596i \(0.0799691\pi\)
−0.968607 + 0.248596i \(0.920031\pi\)
\(32\) 1.23598e27 + 6.97018e25i 0.998414 + 0.0563047i
\(33\) 4.42437e27 2.05400
\(34\) −3.36950e27 2.50657e27i −0.913997 0.679922i
\(35\) 9.57272e26i 0.154103i
\(36\) −7.11437e27 2.37000e28i −0.689750 2.29776i
\(37\) −4.85919e26 −0.0287696 −0.0143848 0.999897i \(-0.504579\pi\)
−0.0143848 + 0.999897i \(0.504579\pi\)
\(38\) 1.12963e28 1.51852e28i 0.413837 0.556308i
\(39\) 9.24832e28i 2.12275i
\(40\) 5.43405e27 1.49815e28i 0.0790759 0.218009i
\(41\) 1.61141e28 0.150348 0.0751738 0.997170i \(-0.476049\pi\)
0.0751738 + 0.997170i \(0.476049\pi\)
\(42\) 1.62563e29 + 1.20931e29i 0.982959 + 0.731223i
\(43\) 2.17024e29i 0.859162i −0.903028 0.429581i \(-0.858661\pi\)
0.903028 0.429581i \(-0.141339\pi\)
\(44\) 4.07694e29 1.22383e29i 1.06705 0.320312i
\(45\) −3.18551e29 −0.556357
\(46\) −8.61387e29 + 1.15793e30i −1.01288 + 1.36158i
\(47\) 3.68245e28i 0.0294019i 0.999892 + 0.0147010i \(0.00467963\pi\)
−0.999892 + 0.0147010i \(0.995320\pi\)
\(48\) −1.85767e30 2.81540e30i −1.01537 1.53885i
\(49\) 1.48082e30 0.558437
\(50\) 2.89609e30 + 2.15440e30i 0.759192 + 0.564763i
\(51\) 1.14427e31i 2.10021i
\(52\) −2.55819e30 8.52208e30i −0.331034 1.10277i
\(53\) 5.88414e30 0.540403 0.270201 0.962804i \(-0.412910\pi\)
0.270201 + 0.962804i \(0.412910\pi\)
\(54\) −2.34679e31 + 3.15471e31i −1.53953 + 2.06953i
\(55\) 5.47979e30i 0.258366i
\(56\) 1.83249e31 + 6.64677e30i 0.624679 + 0.226582i
\(57\) −5.15681e31 −1.27830
\(58\) 5.05148e31 + 3.75780e31i 0.915620 + 0.681129i
\(59\) 7.36347e31i 0.981175i −0.871392 0.490587i \(-0.836782\pi\)
0.871392 0.490587i \(-0.163218\pi\)
\(60\) −4.15892e31 + 1.24844e31i −0.409504 + 0.122926i
\(61\) 2.36737e32 1.73113 0.865563 0.500800i \(-0.166961\pi\)
0.865563 + 0.500800i \(0.166961\pi\)
\(62\) 5.43812e31 7.31029e31i 0.296755 0.398918i
\(63\) 3.89642e32i 1.59417i
\(64\) −2.49056e32 2.08046e32i −0.767464 0.641092i
\(65\) −1.14545e32 −0.267015
\(66\) −9.30575e32 6.92254e32i −1.64801 1.22596i
\(67\) 3.51092e32i 0.474323i 0.971470 + 0.237162i \(0.0762171\pi\)
−0.971470 + 0.237162i \(0.923783\pi\)
\(68\) 3.16517e32 + 1.05441e33i 0.327519 + 1.09106i
\(69\) 3.93229e33 3.12868
\(70\) 1.49779e32 2.01343e32i 0.0919783 0.123643i
\(71\) 7.98310e32i 0.379770i −0.981806 0.189885i \(-0.939188\pi\)
0.981806 0.189885i \(-0.0608116\pi\)
\(72\) −2.21184e33 + 6.09796e33i −0.818030 + 2.25528i
\(73\) −4.73322e33 −1.36567 −0.682834 0.730574i \(-0.739253\pi\)
−0.682834 + 0.730574i \(0.739253\pi\)
\(74\) 1.02203e32 + 7.60289e31i 0.0230831 + 0.0171715i
\(75\) 9.83497e33i 1.74450i
\(76\) −4.75187e33 + 1.42643e33i −0.664079 + 0.199346i
\(77\) 6.70271e33 0.740317
\(78\) −1.44703e34 + 1.94519e34i −1.26699 + 1.70318i
\(79\) 8.69667e32i 0.0605432i 0.999542 + 0.0302716i \(0.00963723\pi\)
−0.999542 + 0.0302716i \(0.990363\pi\)
\(80\) −3.48700e33 + 2.30081e33i −0.193568 + 0.127721i
\(81\) 5.30858e34 2.35639
\(82\) −3.38927e33 2.52128e33i −0.120630 0.0897369i
\(83\) 2.72310e34i 0.779217i 0.920980 + 0.389609i \(0.127390\pi\)
−0.920980 + 0.389609i \(0.872610\pi\)
\(84\) −1.52705e34 5.08706e34i −0.352231 1.17338i
\(85\) 1.41723e34 0.264179
\(86\) −3.39564e34 + 4.56465e34i −0.512802 + 0.689343i
\(87\) 1.71546e35i 2.10394i
\(88\) −1.04899e35 3.80487e34i −1.04733 0.379884i
\(89\) 4.88377e34 0.397864 0.198932 0.980013i \(-0.436253\pi\)
0.198932 + 0.980013i \(0.436253\pi\)
\(90\) 6.70007e34 + 4.98418e34i 0.446389 + 0.332069i
\(91\) 1.40108e35i 0.765098i
\(92\) 3.62350e35 1.08772e35i 1.62535 0.487905i
\(93\) −2.48254e35 −0.916648
\(94\) 5.76171e33 7.74528e33i 0.0175489 0.0235904i
\(95\) 6.38696e34i 0.160794i
\(96\) −4.97858e34 + 8.82819e35i −0.103806 + 1.84073i
\(97\) −1.09730e35 −0.189860 −0.0949302 0.995484i \(-0.530263\pi\)
−0.0949302 + 0.995484i \(0.530263\pi\)
\(98\) −3.11461e35 2.31696e35i −0.448058 0.333310i
\(99\) 2.23046e36i 2.67276i
\(100\) −2.72047e35 9.06268e35i −0.272047 0.906268i
\(101\) −8.78256e35 −0.734237 −0.367119 0.930174i \(-0.619656\pi\)
−0.367119 + 0.930174i \(0.619656\pi\)
\(102\) 1.79036e36 2.40673e36i 1.25354 1.68509i
\(103\) 1.85754e36i 1.09111i 0.838075 + 0.545555i \(0.183681\pi\)
−0.838075 + 0.545555i \(0.816319\pi\)
\(104\) −7.95336e35 + 2.19271e36i −0.392600 + 1.08238i
\(105\) −6.83749e35 −0.284112
\(106\) −1.23761e36 9.20656e35i −0.433588 0.322546i
\(107\) 4.43494e36i 1.31214i −0.754701 0.656069i \(-0.772218\pi\)
0.754701 0.656069i \(-0.227782\pi\)
\(108\) 9.87199e36 2.96341e36i 2.47046 0.741591i
\(109\) −3.77436e36 −0.800140 −0.400070 0.916485i \(-0.631014\pi\)
−0.400070 + 0.916485i \(0.631014\pi\)
\(110\) −8.57390e35 + 1.15256e36i −0.154209 + 0.207298i
\(111\) 3.47077e35i 0.0530410i
\(112\) −2.81428e36 4.26520e36i −0.365968 0.554644i
\(113\) −1.58014e37 −1.75098 −0.875492 0.483232i \(-0.839463\pi\)
−0.875492 + 0.483232i \(0.839463\pi\)
\(114\) 1.08463e37 + 8.06856e36i 1.02564 + 0.762972i
\(115\) 4.87033e36i 0.393547i
\(116\) −4.74516e36 1.58075e37i −0.328101 1.09300i
\(117\) 4.66236e37 2.76223
\(118\) −1.15212e37 + 1.54875e37i −0.585627 + 0.787239i
\(119\) 1.73351e37i 0.756974i
\(120\) 1.07008e37 + 3.88137e36i 0.401933 + 0.145788i
\(121\) −7.45622e36 −0.241203
\(122\) −4.97927e37 3.70408e37i −1.38896 1.03324i
\(123\) 1.15098e37i 0.277189i
\(124\) −2.28759e37 + 6.86699e36i −0.476199 + 0.142947i
\(125\) −2.50545e37 −0.451342
\(126\) −6.09649e37 + 8.19532e37i −0.951503 + 1.27907i
\(127\) 5.99696e37i 0.811829i −0.913911 0.405914i \(-0.866953\pi\)
0.913911 0.405914i \(-0.133047\pi\)
\(128\) 1.98322e37 + 8.27266e37i 0.233126 + 0.972447i
\(129\) 1.55013e38 1.58400
\(130\) 2.40922e37 + 1.79221e37i 0.214237 + 0.159371i
\(131\) 7.62375e37i 0.590589i −0.955406 0.295295i \(-0.904582\pi\)
0.955406 0.295295i \(-0.0954178\pi\)
\(132\) 8.74144e37 + 2.91203e38i 0.590544 + 1.96727i
\(133\) −7.81234e37 −0.460735
\(134\) 5.49333e37 7.38450e37i 0.283106 0.380570i
\(135\) 1.32689e38i 0.598173i
\(136\) 9.84045e37 2.71297e38i 0.388432 1.07089i
\(137\) 2.18854e38 0.757152 0.378576 0.925570i \(-0.376414\pi\)
0.378576 + 0.925570i \(0.376414\pi\)
\(138\) −8.27076e38 6.15261e38i −2.51028 1.86739i
\(139\) 2.96571e38i 0.790427i −0.918589 0.395214i \(-0.870671\pi\)
0.918589 0.395214i \(-0.129329\pi\)
\(140\) −6.30057e37 + 1.89133e37i −0.147596 + 0.0443060i
\(141\) −2.63026e37 −0.0542069
\(142\) −1.24907e38 + 1.67908e38i −0.226671 + 0.304706i
\(143\) 8.02030e38i 1.28275i
\(144\) 1.41933e39 9.36507e38i 2.00243 1.32125i
\(145\) −2.12468e38 −0.264648
\(146\) 9.95535e38 + 7.40578e38i 1.09573 + 0.815116i
\(147\) 1.05771e39i 1.02956i
\(148\) −9.60055e36 3.19822e37i −0.00827152 0.0275548i
\(149\) −4.69873e38 −0.358615 −0.179307 0.983793i \(-0.557386\pi\)
−0.179307 + 0.983793i \(0.557386\pi\)
\(150\) −1.53882e39 + 2.06859e39i −1.04123 + 1.39969i
\(151\) 2.81845e38i 0.169209i −0.996415 0.0846047i \(-0.973037\pi\)
0.996415 0.0846047i \(-0.0269628\pi\)
\(152\) 1.22264e39 + 4.43475e38i 0.651802 + 0.236420i
\(153\) −5.76859e39 −2.73290
\(154\) −1.40978e39 1.04873e39i −0.593988 0.441868i
\(155\) 3.07474e38i 0.115302i
\(156\) 6.08706e39 1.82724e39i 2.03313 0.610312i
\(157\) 1.48945e39 0.443437 0.221718 0.975111i \(-0.428833\pi\)
0.221718 + 0.975111i \(0.428833\pi\)
\(158\) 1.36072e38 1.82917e38i 0.0361360 0.0485764i
\(159\) 4.20286e39i 0.996314i
\(160\) 1.09341e39 + 6.16621e37i 0.231539 + 0.0130575i
\(161\) 5.95724e39 1.12766
\(162\) −1.11655e40 8.30601e39i −1.89064 1.40644i
\(163\) 5.09595e39i 0.772411i −0.922413 0.386205i \(-0.873786\pi\)
0.922413 0.386205i \(-0.126214\pi\)
\(164\) 3.18374e38 + 1.06060e39i 0.0432264 + 0.144000i
\(165\) 3.91404e39 0.476337
\(166\) 4.26068e39 5.72749e39i 0.465086 0.625200i
\(167\) 3.99110e39i 0.391018i 0.980702 + 0.195509i \(0.0626359\pi\)
−0.980702 + 0.195509i \(0.937364\pi\)
\(168\) −4.74758e39 + 1.30889e40i −0.417739 + 1.15169i
\(169\) 4.11874e39 0.325689
\(170\) −2.98085e39 2.21745e39i −0.211963 0.157679i
\(171\) 2.59971e40i 1.66339i
\(172\) 1.42841e40 4.28785e39i 0.822886 0.247017i
\(173\) −1.39597e40 −0.724515 −0.362258 0.932078i \(-0.617994\pi\)
−0.362258 + 0.932078i \(0.617994\pi\)
\(174\) −2.68408e40 + 3.60812e40i −1.25576 + 1.68808i
\(175\) 1.48995e40i 0.628764i
\(176\) 1.61100e40 + 2.44156e40i 0.613576 + 0.929907i
\(177\) 5.25949e40 1.80894
\(178\) −1.02720e40 7.64134e39i −0.319224 0.237471i
\(179\) 3.03632e40i 0.853087i −0.904467 0.426543i \(-0.859731\pi\)
0.904467 0.426543i \(-0.140269\pi\)
\(180\) −6.29377e39 2.09664e40i −0.159958 0.532867i
\(181\) −3.77785e40 −0.869021 −0.434511 0.900667i \(-0.643079\pi\)
−0.434511 + 0.900667i \(0.643079\pi\)
\(182\) −2.19218e40 + 2.94688e40i −0.456659 + 0.613871i
\(183\) 1.69094e41i 3.19159i
\(184\) −9.32318e40 3.38169e40i −1.59530 0.578646i
\(185\) −4.29871e38 −0.00667187
\(186\) 5.22151e40 + 3.88428e40i 0.735466 + 0.547113i
\(187\) 9.92327e40i 1.26913i
\(188\) −2.42372e39 + 7.27561e38i −0.0281605 + 0.00845333i
\(189\) 1.62301e41 1.71399
\(190\) 9.99330e39 1.34337e40i 0.0959719 0.129012i
\(191\) 8.46505e40i 0.739654i 0.929101 + 0.369827i \(0.120583\pi\)
−0.929101 + 0.369827i \(0.879417\pi\)
\(192\) 1.48601e41 1.77893e41i 1.18195 1.41494i
\(193\) −2.43474e41 −1.76369 −0.881843 0.471543i \(-0.843697\pi\)
−0.881843 + 0.471543i \(0.843697\pi\)
\(194\) 2.30795e40 + 1.71688e40i 0.152333 + 0.113321i
\(195\) 8.18158e40i 0.492282i
\(196\) 2.92574e40 + 9.74649e40i 0.160556 + 0.534859i
\(197\) −1.73126e41 −0.866901 −0.433451 0.901177i \(-0.642704\pi\)
−0.433451 + 0.901177i \(0.642704\pi\)
\(198\) 3.48987e41 4.69131e41i 1.59527 2.14447i
\(199\) 2.95433e41i 1.23340i −0.787199 0.616699i \(-0.788470\pi\)
0.787199 0.616699i \(-0.211530\pi\)
\(200\) −8.45788e40 + 2.33180e41i −0.322642 + 0.889512i
\(201\) −2.50774e41 −0.874487
\(202\) 1.84723e41 + 1.37415e41i 0.589110 + 0.438239i
\(203\) 2.59884e41i 0.758318i
\(204\) −7.53132e41 + 2.26078e41i −2.01154 + 0.603831i
\(205\) 1.42554e40 0.0348667
\(206\) 2.90638e41 3.90695e41i 0.651242 0.875444i
\(207\) 1.98239e42i 4.07120i
\(208\) 5.10363e41 3.36750e41i 0.961035 0.634115i
\(209\) 4.47208e41 0.772461
\(210\) 1.43813e41 + 1.06982e41i 0.227955 + 0.169576i
\(211\) 3.60639e40i 0.0524794i −0.999656 0.0262397i \(-0.991647\pi\)
0.999656 0.0262397i \(-0.00835331\pi\)
\(212\) 1.16256e41 + 3.87282e41i 0.155371 + 0.517586i
\(213\) 5.70207e41 0.700164
\(214\) −6.93908e41 + 9.32798e41i −0.783166 + 1.05278i
\(215\) 1.91991e41i 0.199246i
\(216\) −2.54004e42 9.21318e41i −2.42478 0.879513i
\(217\) −3.76093e41 −0.330385
\(218\) 7.93858e41 + 5.90551e41i 0.641987 + 0.477574i
\(219\) 3.38079e42i 2.51782i
\(220\) 3.60669e41 1.08267e41i 0.247457 0.0742827i
\(221\) −2.07428e42 −1.31161
\(222\) −5.43050e40 + 7.30005e40i −0.0316582 + 0.0425571i
\(223\) 6.05387e41i 0.325496i 0.986668 + 0.162748i \(0.0520357\pi\)
−0.986668 + 0.162748i \(0.947964\pi\)
\(224\) −7.54232e40 + 1.33743e42i −0.0374146 + 0.663448i
\(225\) 4.95811e42 2.27003
\(226\) 3.32349e42 + 2.47234e42i 1.40489 + 1.04510i
\(227\) 4.84852e42i 1.89297i −0.322750 0.946484i \(-0.604607\pi\)
0.322750 0.946484i \(-0.395393\pi\)
\(228\) −1.01886e42 3.39411e42i −0.367524 1.22433i
\(229\) 3.41662e42 1.13909 0.569545 0.821960i \(-0.307120\pi\)
0.569545 + 0.821960i \(0.307120\pi\)
\(230\) −7.62031e41 + 1.02437e42i −0.234894 + 0.315760i
\(231\) 4.78754e42i 1.36489i
\(232\) −1.47526e42 + 4.06723e42i −0.389121 + 1.07279i
\(233\) −3.75680e42 −0.917090 −0.458545 0.888671i \(-0.651629\pi\)
−0.458545 + 0.888671i \(0.651629\pi\)
\(234\) −9.80632e42 7.29492e42i −2.21626 1.64867i
\(235\) 3.25770e40i 0.00681852i
\(236\) 4.84649e42 1.45484e42i 0.939747 0.282097i
\(237\) −6.21176e41 −0.111621
\(238\) 2.71232e42 3.64608e42i 0.451810 0.607353i
\(239\) 5.44846e41i 0.0841611i 0.999114 + 0.0420806i \(0.0133986\pi\)
−0.999114 + 0.0420806i \(0.986601\pi\)
\(240\) −1.64340e42 2.49066e42i −0.235472 0.356871i
\(241\) −1.46388e42 −0.194626 −0.0973128 0.995254i \(-0.531025\pi\)
−0.0973128 + 0.995254i \(0.531025\pi\)
\(242\) 1.56826e42 + 1.16663e42i 0.193527 + 0.143965i
\(243\) 1.54049e43i 1.76501i
\(244\) 4.67733e42 + 1.55815e43i 0.497715 + 1.65803i
\(245\) 1.31002e42 0.129506
\(246\) 1.80087e42 2.42085e42i 0.165444 0.222400i
\(247\) 9.34805e42i 0.798318i
\(248\) 5.88592e42 + 2.13493e42i 0.467395 + 0.169533i
\(249\) −1.94503e43 −1.43661
\(250\) 5.26971e42 + 3.92013e42i 0.362131 + 0.269389i
\(251\) 2.11987e42i 0.135576i 0.997700 + 0.0677878i \(0.0215941\pi\)
−0.997700 + 0.0677878i \(0.978406\pi\)
\(252\) 2.56454e43 7.69835e42i 1.52686 0.458340i
\(253\) −3.41015e43 −1.89062
\(254\) −9.38309e42 + 1.26134e43i −0.484550 + 0.651365i
\(255\) 1.01228e43i 0.487055i
\(256\) 8.77245e42 2.05029e43i 0.393370 0.919380i
\(257\) 1.01174e43 0.422933 0.211467 0.977385i \(-0.432176\pi\)
0.211467 + 0.977385i \(0.432176\pi\)
\(258\) −3.26039e43 2.42540e43i −1.27091 0.945428i
\(259\) 5.25806e41i 0.0191174i
\(260\) −2.26312e42 7.53911e42i −0.0767692 0.255741i
\(261\) 8.64816e43 2.73775
\(262\) −1.19284e43 + 1.60350e43i −0.352501 + 0.473855i
\(263\) 3.03188e43i 0.836581i −0.908313 0.418291i \(-0.862629\pi\)
0.908313 0.418291i \(-0.137371\pi\)
\(264\) 2.71769e43 7.49258e43i 0.700374 1.93090i
\(265\) 5.20544e42 0.125323
\(266\) 1.64316e43 + 1.22235e43i 0.369668 + 0.274996i
\(267\) 3.48832e43i 0.733523i
\(268\) −2.31082e43 + 6.93670e42i −0.454296 + 0.136372i
\(269\) −1.04106e44 −1.91397 −0.956985 0.290139i \(-0.906298\pi\)
−0.956985 + 0.290139i \(0.906298\pi\)
\(270\) −2.07610e43 + 2.79084e43i −0.357027 + 0.479940i
\(271\) 9.92001e43i 1.59612i −0.602580 0.798059i \(-0.705861\pi\)
0.602580 0.798059i \(-0.294139\pi\)
\(272\) −6.31456e43 + 4.16650e43i −0.950830 + 0.627381i
\(273\) 1.00075e44 1.41057
\(274\) −4.60313e43 3.42427e43i −0.607496 0.451916i
\(275\) 8.52907e43i 1.05418i
\(276\) 7.76922e43 + 2.58815e44i 0.899526 + 2.99658i
\(277\) 2.92104e43 0.316885 0.158442 0.987368i \(-0.449353\pi\)
0.158442 + 0.987368i \(0.449353\pi\)
\(278\) −4.64026e43 + 6.23776e43i −0.471777 + 0.634194i
\(279\) 1.25152e44i 1.19279i
\(280\) 1.62112e43 + 5.88010e42i 0.144867 + 0.0525461i
\(281\) 8.15415e42 0.0683384 0.0341692 0.999416i \(-0.489121\pi\)
0.0341692 + 0.999416i \(0.489121\pi\)
\(282\) 5.53221e42 + 4.11541e42i 0.0434925 + 0.0323541i
\(283\) 9.43649e43i 0.696073i 0.937481 + 0.348037i \(0.113151\pi\)
−0.937481 + 0.348037i \(0.886849\pi\)
\(284\) 5.25431e43 1.57726e43i 0.363736 0.109188i
\(285\) −4.56200e43 −0.296448
\(286\) 1.25489e44 1.68691e44i 0.765626 1.02921i
\(287\) 1.74368e43i 0.0999063i
\(288\) −4.45056e44 2.50986e43i −2.39524 0.135078i
\(289\) 5.88733e43 0.297685
\(290\) 4.46883e43 + 3.32436e43i 0.212339 + 0.157959i
\(291\) 7.83767e43i 0.350036i
\(292\) −9.35166e43 3.11531e44i −0.392642 1.30801i
\(293\) 4.20097e44 1.65856 0.829282 0.558831i \(-0.188750\pi\)
0.829282 + 0.558831i \(0.188750\pi\)
\(294\) 1.65493e44 2.22467e44i 0.614508 0.826063i
\(295\) 6.51414e43i 0.227542i
\(296\) −2.98479e42 + 8.22895e42i −0.00980986 + 0.0270454i
\(297\) −9.29073e44 −2.87365
\(298\) 9.88282e43 + 7.35183e43i 0.287732 + 0.214044i
\(299\) 7.12828e44i 1.95391i
\(300\) 6.47318e44 1.94314e44i 1.67084 0.501560i
\(301\) 2.34838e44 0.570915
\(302\) −4.40985e43 + 5.92802e43i −0.100995 + 0.135764i
\(303\) 6.27311e44i 1.35368i
\(304\) −1.87770e44 2.84576e44i −0.381858 0.578726i
\(305\) 2.09431e44 0.401461
\(306\) 1.21331e45 + 9.02577e44i 2.19273 + 1.63117i
\(307\) 4.94152e44i 0.842112i −0.907035 0.421056i \(-0.861660\pi\)
0.907035 0.421056i \(-0.138340\pi\)
\(308\) 1.32429e44 + 4.41159e44i 0.212848 + 0.709059i
\(309\) −1.32678e45 −2.01162
\(310\) 4.81086e43 6.46709e43i 0.0688197 0.0925120i
\(311\) 1.16623e45i 1.57434i 0.616735 + 0.787171i \(0.288455\pi\)
−0.616735 + 0.787171i \(0.711545\pi\)
\(312\) −1.56618e45 5.68084e44i −1.99554 0.723818i
\(313\) 1.18676e44 0.142746 0.0713730 0.997450i \(-0.477262\pi\)
0.0713730 + 0.997450i \(0.477262\pi\)
\(314\) −3.13275e44 2.33045e44i −0.355788 0.264671i
\(315\) 3.44699e44i 0.369700i
\(316\) −5.72398e43 + 1.71825e43i −0.0579870 + 0.0174067i
\(317\) −1.14476e45 −1.09559 −0.547796 0.836612i \(-0.684533\pi\)
−0.547796 + 0.836612i \(0.684533\pi\)
\(318\) 6.57596e44 8.83984e44i 0.594663 0.799386i
\(319\) 1.48768e45i 1.27138i
\(320\) −2.20329e44 1.84049e44i −0.177981 0.148674i
\(321\) 3.16773e45 2.41912
\(322\) −1.25298e45 9.32093e44i −0.904772 0.673060i
\(323\) 1.15661e45i 0.789841i
\(324\) 1.04884e45 + 3.49400e45i 0.677485 + 2.25690i
\(325\) 1.78284e45 1.08946
\(326\) −7.97333e44 + 1.07183e45i −0.461023 + 0.619739i
\(327\) 2.69590e45i 1.47518i
\(328\) 9.89818e43 2.72889e44i 0.0512656 0.141337i
\(329\) −3.98472e43 −0.0195376
\(330\) −8.23238e44 6.12407e44i −0.382186 0.284308i
\(331\) 2.55493e45i 1.12325i −0.827393 0.561623i \(-0.810177\pi\)
0.827393 0.561623i \(-0.189823\pi\)
\(332\) −1.79229e45 + 5.38017e44i −0.746317 + 0.224032i
\(333\) 1.74972e44 0.0690196
\(334\) 6.24464e44 8.39447e44i 0.233384 0.313731i
\(335\) 3.10596e44i 0.109999i
\(336\) 3.04649e45 2.01015e45i 1.02257 0.674718i
\(337\) −4.07177e45 −1.29552 −0.647761 0.761844i \(-0.724294\pi\)
−0.647761 + 0.761844i \(0.724294\pi\)
\(338\) −8.66292e44 6.44434e44i −0.261315 0.194392i
\(339\) 1.12864e46i 3.22820i
\(340\) 2.80009e44 + 9.32791e44i 0.0759541 + 0.253025i
\(341\) 2.15290e45 0.553917
\(342\) −4.06761e45 + 5.46795e45i −0.992817 + 1.33461i
\(343\) 4.47177e45i 1.03558i
\(344\) −3.67525e45 1.33308e45i −0.807673 0.292958i
\(345\) 3.47872e45 0.725564
\(346\) 2.93615e45 + 2.18420e45i 0.581310 + 0.432436i
\(347\) 4.62887e45i 0.870051i 0.900418 + 0.435026i \(0.143261\pi\)
−0.900418 + 0.435026i \(0.856739\pi\)
\(348\) 1.12908e46 3.38932e45i 2.01511 0.604903i
\(349\) 7.77526e45 1.31782 0.658912 0.752220i \(-0.271017\pi\)
0.658912 + 0.752220i \(0.271017\pi\)
\(350\) −2.33124e45 + 3.13381e45i −0.375286 + 0.504485i
\(351\) 1.94205e46i 2.96984i
\(352\) 4.31751e44 7.65596e45i 0.0627286 1.11233i
\(353\) −1.28246e46 −1.77051 −0.885257 0.465103i \(-0.846017\pi\)
−0.885257 + 0.465103i \(0.846017\pi\)
\(354\) −1.10623e46 8.22922e45i −1.45139 1.07969i
\(355\) 7.06229e44i 0.0880715i
\(356\) 9.64911e44 + 3.21440e45i 0.114390 + 0.381066i
\(357\) −1.23819e46 −1.39560
\(358\) −4.75075e45 + 6.38628e45i −0.509176 + 0.684469i
\(359\) 3.32204e45i 0.338613i 0.985563 + 0.169307i \(0.0541529\pi\)
−0.985563 + 0.169307i \(0.945847\pi\)
\(360\) −1.95672e45 + 5.39460e45i −0.189707 + 0.523015i
\(361\) 5.63008e45 0.519260
\(362\) 7.94593e45 + 5.91098e45i 0.697253 + 0.518686i
\(363\) 5.32574e45i 0.444693i
\(364\) 9.22161e45 2.76818e45i 0.732794 0.219973i
\(365\) −4.18727e45 −0.316708
\(366\) 2.64571e46 3.55654e46i 1.90494 2.56075i
\(367\) 1.90567e46i 1.30634i −0.757209 0.653172i \(-0.773438\pi\)
0.757209 0.653172i \(-0.226562\pi\)
\(368\) 1.43183e46 + 2.17001e46i 0.934608 + 1.41645i
\(369\) −5.80244e45 −0.360692
\(370\) 9.04146e43 + 6.72594e43i 0.00535313 + 0.00398219i
\(371\) 6.36714e45i 0.359099i
\(372\) −4.90487e45 1.63396e46i −0.263545 0.877945i
\(373\) −2.75814e46 −1.41207 −0.706036 0.708175i \(-0.749519\pi\)
−0.706036 + 0.708175i \(0.749519\pi\)
\(374\) −1.55264e46 + 2.08716e46i −0.757496 + 1.01828i
\(375\) 1.78957e46i 0.832118i
\(376\) 6.23616e44 + 2.26197e44i 0.0276399 + 0.0100255i
\(377\) 3.10971e46 1.31394
\(378\) −3.41367e46 2.53943e46i −1.37521 1.02302i
\(379\) 7.10849e45i 0.273068i −0.990635 0.136534i \(-0.956404\pi\)
0.990635 0.136534i \(-0.0435963\pi\)
\(380\) −4.20377e45 + 1.26190e45i −0.154005 + 0.0462297i
\(381\) 4.28344e46 1.49673
\(382\) 1.32448e46 1.78045e46i 0.441472 0.593457i
\(383\) 2.26690e46i 0.720866i 0.932785 + 0.360433i \(0.117371\pi\)
−0.932785 + 0.360433i \(0.882629\pi\)
\(384\) −5.90890e46 + 1.41655e46i −1.79285 + 0.429803i
\(385\) 5.92960e45 0.171685
\(386\) 5.12098e46 + 3.80949e46i 1.41508 + 1.05268i
\(387\) 7.81469e46i 2.06117i
\(388\) −2.16799e45 7.22221e45i −0.0545866 0.181844i
\(389\) −8.79753e45 −0.211479 −0.105740 0.994394i \(-0.533721\pi\)
−0.105740 + 0.994394i \(0.533721\pi\)
\(390\) −1.28012e46 + 1.72083e46i −0.293825 + 0.394979i
\(391\) 8.81960e46i 1.93316i
\(392\) 9.09606e45 2.50775e46i 0.190416 0.524970i
\(393\) 5.44540e46 1.08884
\(394\) 3.64135e46 + 2.70880e46i 0.695552 + 0.517421i
\(395\) 7.69356e44i 0.0140404i
\(396\) −1.46804e47 + 4.40683e46i −2.55991 + 0.768445i
\(397\) 4.64455e45 0.0773953 0.0386976 0.999251i \(-0.487679\pi\)
0.0386976 + 0.999251i \(0.487679\pi\)
\(398\) −4.62246e46 + 6.21382e46i −0.736169 + 0.989608i
\(399\) 5.58010e46i 0.849435i
\(400\) 5.42737e46 3.58112e46i 0.789787 0.521121i
\(401\) −1.31213e47 −1.82549 −0.912746 0.408528i \(-0.866042\pi\)
−0.912746 + 0.408528i \(0.866042\pi\)
\(402\) 5.27451e46 + 3.92371e46i 0.701639 + 0.521949i
\(403\) 4.50024e46i 0.572459i
\(404\) −1.73521e46 5.78051e46i −0.211100 0.703236i
\(405\) 4.69626e46 0.546465
\(406\) −4.06625e46 + 5.46613e46i −0.452612 + 0.608431i
\(407\) 3.00991e45i 0.0320519i
\(408\) 1.93779e47 + 7.02872e46i 1.97435 + 0.716132i
\(409\) −4.55215e46 −0.443810 −0.221905 0.975068i \(-0.571227\pi\)
−0.221905 + 0.975068i \(0.571227\pi\)
\(410\) −2.99834e45 2.23046e45i −0.0279751 0.0208106i
\(411\) 1.56320e47i 1.39593i
\(412\) −1.22260e47 + 3.67003e46i −1.04504 + 0.313704i
\(413\) 7.96789e46 0.651993
\(414\) 3.10172e47 4.16954e47i 2.42995 3.26650i
\(415\) 2.40901e46i 0.180706i
\(416\) −1.60034e47 9.02496e45i −1.14956 0.0648284i
\(417\) 2.11831e47 1.45727
\(418\) −9.40610e46 6.99720e46i −0.619779 0.461053i
\(419\) 3.48144e46i 0.219739i −0.993946 0.109869i \(-0.964957\pi\)
0.993946 0.109869i \(-0.0350432\pi\)
\(420\) −1.35092e46 4.50030e46i −0.0816849 0.272116i
\(421\) −1.95656e47 −1.13348 −0.566742 0.823896i \(-0.691796\pi\)
−0.566742 + 0.823896i \(0.691796\pi\)
\(422\) −5.64270e45 + 7.58530e45i −0.0313230 + 0.0421065i
\(423\) 1.32599e46i 0.0705367i
\(424\) 3.61437e46 9.96468e46i 0.184267 0.508016i
\(425\) −2.20586e47 −1.07789
\(426\) −1.19931e47 8.92169e46i −0.561772 0.417902i
\(427\) 2.56169e47i 1.15034i
\(428\) 2.91899e47 8.76233e46i 1.25674 0.377252i
\(429\) −5.72865e47 −2.36494
\(430\) −3.00397e46 + 4.03814e46i −0.118922 + 0.159864i
\(431\) 2.21426e47i 0.840692i −0.907364 0.420346i \(-0.861909\pi\)
0.907364 0.420346i \(-0.138091\pi\)
\(432\) 3.90092e47 + 5.91205e47i 1.42056 + 2.15293i
\(433\) 4.00496e47 1.39900 0.699498 0.714635i \(-0.253407\pi\)
0.699498 + 0.714635i \(0.253407\pi\)
\(434\) 7.91034e46 + 5.88450e46i 0.265082 + 0.197194i
\(435\) 1.51759e47i 0.487919i
\(436\) −7.45718e46 2.48421e47i −0.230048 0.766356i
\(437\) 3.97469e47 1.17662
\(438\) −5.28972e47 + 7.11079e47i −1.50279 + 2.02015i
\(439\) 4.90828e47i 1.33835i 0.743107 + 0.669173i \(0.233351\pi\)
−0.743107 + 0.669173i \(0.766649\pi\)
\(440\) −9.27992e46 3.36600e46i −0.242882 0.0880979i
\(441\) −5.33222e47 −1.33972
\(442\) 4.36281e47 + 3.24550e47i 1.05236 + 0.782853i
\(443\) 1.37062e47i 0.317432i 0.987324 + 0.158716i \(0.0507354\pi\)
−0.987324 + 0.158716i \(0.949265\pi\)
\(444\) 2.28439e46 6.85737e45i 0.0508015 0.0152498i
\(445\) 4.32046e46 0.0922676
\(446\) 9.47212e46 1.27331e47i 0.194276 0.261159i
\(447\) 3.35616e47i 0.661160i
\(448\) 2.25123e47 2.69500e47i 0.426007 0.509982i
\(449\) 7.80613e47 1.41906 0.709532 0.704674i \(-0.248907\pi\)
0.709532 + 0.704674i \(0.248907\pi\)
\(450\) −1.04284e48 7.75766e47i −1.82134 1.35490i
\(451\) 9.98149e46i 0.167501i
\(452\) −3.12195e47 1.04001e48i −0.503425 1.67705i
\(453\) 2.01313e47 0.311963
\(454\) −7.58618e47 + 1.01979e48i −1.12984 + 1.51881i
\(455\) 1.23947e47i 0.177432i
\(456\) −3.16760e47 + 8.73296e47i −0.435877 + 1.20169i
\(457\) 4.96948e47 0.657385 0.328692 0.944437i \(-0.393392\pi\)
0.328692 + 0.944437i \(0.393392\pi\)
\(458\) −7.18616e47 5.34578e47i −0.913941 0.679880i
\(459\) 2.40284e48i 2.93831i
\(460\) 3.20555e47 9.62255e46i 0.376931 0.113149i
\(461\) 8.70832e47 0.984731 0.492366 0.870389i \(-0.336132\pi\)
0.492366 + 0.870389i \(0.336132\pi\)
\(462\) 7.49077e47 1.00696e48i 0.814650 1.09511i
\(463\) 1.80782e48i 1.89102i 0.325587 + 0.945512i \(0.394438\pi\)
−0.325587 + 0.945512i \(0.605562\pi\)
\(464\) 9.46666e47 6.24634e47i 0.952518 0.628495i
\(465\) −2.19619e47 −0.212577
\(466\) 7.90166e47 + 5.87804e47i 0.735821 + 0.547377i
\(467\) 7.26554e47i 0.650975i −0.945546 0.325487i \(-0.894472\pi\)
0.945546 0.325487i \(-0.105528\pi\)
\(468\) 9.21166e47 + 3.06867e48i 0.794168 + 2.64561i
\(469\) −3.79911e47 −0.315189
\(470\) 5.09713e45 6.85191e45i 0.00406972 0.00547079i
\(471\) 1.06387e48i 0.817543i
\(472\) −1.24699e48 4.52306e47i −0.922373 0.334562i
\(473\) −1.34430e48 −0.957186
\(474\) 1.30652e47 + 9.71917e46i 0.0895580 + 0.0666222i
\(475\) 9.94104e47i 0.656065i
\(476\) −1.14096e48 + 3.42498e47i −0.725013 + 0.217637i
\(477\) −2.11879e48 −1.29645
\(478\) 8.52488e46 1.14597e47i 0.0502326 0.0675261i
\(479\) 1.39029e48i 0.788982i −0.918900 0.394491i \(-0.870921\pi\)
0.918900 0.394491i \(-0.129079\pi\)
\(480\) −4.40433e46 + 7.80991e47i −0.0240734 + 0.426878i
\(481\) 6.29166e46 0.0331249
\(482\) 3.07898e47 + 2.29045e47i 0.156157 + 0.116165i
\(483\) 4.25507e48i 2.07902i
\(484\) −1.47316e47 4.90753e47i −0.0693480 0.231018i
\(485\) −9.70733e46 −0.0440300
\(486\) 2.41031e48 3.24011e48i 1.05347 1.41614i
\(487\) 3.97047e48i 1.67233i 0.548480 + 0.836163i \(0.315207\pi\)
−0.548480 + 0.836163i \(0.684793\pi\)
\(488\) 1.45417e48 4.00909e48i 0.590281 1.62738i
\(489\) 3.63988e48 1.42406
\(490\) −2.75536e47 2.04971e47i −0.103908 0.0772971i
\(491\) 4.46359e47i 0.162262i 0.996703 + 0.0811312i \(0.0258533\pi\)
−0.996703 + 0.0811312i \(0.974147\pi\)
\(492\) −7.57551e47 + 2.27405e47i −0.265485 + 0.0796943i
\(493\) −3.84755e48 −1.29999
\(494\) −1.46263e48 + 1.96617e48i −0.476486 + 0.640525i
\(495\) 1.97319e48i 0.619833i
\(496\) −9.03942e47 1.36997e48i −0.273823 0.414994i
\(497\) 8.63838e47 0.252358
\(498\) 4.09097e48 + 3.04327e48i 1.15265 + 0.857456i
\(499\) 5.95694e48i 1.61888i −0.587206 0.809438i \(-0.699772\pi\)
0.587206 0.809438i \(-0.300228\pi\)
\(500\) −4.95015e47 1.64904e48i −0.129765 0.432286i
\(501\) −2.85072e48 −0.720901
\(502\) 3.31683e47 4.45870e47i 0.0809200 0.108778i
\(503\) 5.90539e48i 1.39003i −0.718994 0.695016i \(-0.755397\pi\)
0.718994 0.695016i \(-0.244603\pi\)
\(504\) −6.59851e48 2.39340e48i −1.49864 0.543583i
\(505\) −7.76954e47 −0.170275
\(506\) 7.17255e48 + 5.33566e48i 1.51693 + 1.12844i
\(507\) 2.94188e48i 0.600458i
\(508\) 3.94708e48 1.18485e48i 0.777551 0.233408i
\(509\) −2.14889e48 −0.408595 −0.204298 0.978909i \(-0.565491\pi\)
−0.204298 + 0.978909i \(0.565491\pi\)
\(510\) 1.58386e48 2.12913e48i 0.290705 0.390785i
\(511\) 5.12174e48i 0.907489i
\(512\) −5.05306e48 + 2.93978e48i −0.864362 + 0.502870i
\(513\) 1.08288e49 1.78841
\(514\) −2.12798e48 1.58301e48i −0.339337 0.252433i
\(515\) 1.64328e48i 0.253036i
\(516\) 3.06267e48 + 1.02027e49i 0.455414 + 1.51712i
\(517\) 2.28101e47 0.0327565
\(518\) −8.22697e46 + 1.10592e47i −0.0114105 + 0.0153387i
\(519\) 9.97100e48i 1.33575i
\(520\) −7.03599e47 + 1.93979e48i −0.0910469 + 0.251013i
\(521\) 5.15369e48 0.644227 0.322114 0.946701i \(-0.395607\pi\)
0.322114 + 0.946701i \(0.395607\pi\)
\(522\) −1.81896e49 1.35313e49i −2.19662 1.63406i
\(523\) 4.67519e48i 0.545467i 0.962090 + 0.272733i \(0.0879277\pi\)
−0.962090 + 0.272733i \(0.912072\pi\)
\(524\) 5.01780e48 1.50626e48i 0.565653 0.169800i
\(525\) 1.06423e49 1.15922
\(526\) −4.74380e48 + 6.37693e48i −0.499324 + 0.671225i
\(527\) 5.56800e48i 0.566381i
\(528\) −1.74393e49 + 1.15069e49i −1.71442 + 1.13122i
\(529\) −1.97842e49 −1.87982
\(530\) −1.09486e48 8.14464e47i −0.100552 0.0748008i
\(531\) 2.65147e49i 2.35389i
\(532\) −1.54352e48 5.14192e48i −0.132466 0.441282i
\(533\) −2.08645e48 −0.173108
\(534\) 5.45797e48 7.33697e48i 0.437813 0.588538i
\(535\) 3.92339e48i 0.304294i
\(536\) 5.94567e48 + 2.15660e48i 0.445897 + 0.161735i
\(537\) 2.16875e49 1.57280
\(538\) 2.18966e49 + 1.62888e49i 1.53566 + 1.14238i
\(539\) 9.17262e48i 0.622151i
\(540\) 8.73331e48 2.62160e48i 0.572916 0.171980i
\(541\) 1.80924e49 1.14801 0.574003 0.818853i \(-0.305390\pi\)
0.574003 + 0.818853i \(0.305390\pi\)
\(542\) −1.55212e49 + 2.08647e49i −0.952663 + 1.28063i
\(543\) 2.69840e49i 1.60217i
\(544\) 1.98005e49 + 1.11663e48i 1.13735 + 0.0641400i
\(545\) −3.33901e48 −0.185558
\(546\) −2.10486e49 1.56581e49i −1.13176 0.841919i
\(547\) 1.44140e48i 0.0749914i 0.999297 + 0.0374957i \(0.0119381\pi\)
−0.999297 + 0.0374957i \(0.988062\pi\)
\(548\) 4.32400e48 + 1.44045e49i 0.217688 + 0.725184i
\(549\) −8.52453e49 −4.15306
\(550\) 1.33449e49 1.79391e49i 0.629198 0.845811i
\(551\) 1.73396e49i 0.791243i
\(552\) 2.41543e49 6.65925e49i 1.06682 2.94118i
\(553\) −9.41053e47 −0.0402311
\(554\) −6.14381e48 4.57038e48i −0.254251 0.189137i
\(555\) 3.07044e47i 0.0123006i
\(556\) 1.95197e49 5.85949e48i 0.757053 0.227255i
\(557\) −9.88492e48 −0.371176 −0.185588 0.982628i \(-0.559419\pi\)
−0.185588 + 0.982628i \(0.559419\pi\)
\(558\) −1.95818e49 + 2.63232e49i −0.711931 + 0.957025i
\(559\) 2.81001e49i 0.989227i
\(560\) −2.48967e48 3.77323e48i −0.0848706 0.128626i
\(561\) 7.08788e49 2.33983
\(562\) −1.71506e48 1.27583e48i −0.0548309 0.0407887i
\(563\) 1.54659e49i 0.478877i 0.970912 + 0.239439i \(0.0769634\pi\)
−0.970912 + 0.239439i \(0.923037\pi\)
\(564\) −5.19674e47 1.73118e48i −0.0155850 0.0519182i
\(565\) −1.39788e49 −0.406066
\(566\) 1.47647e49 1.98477e49i 0.415460 0.558490i
\(567\) 5.74433e49i 1.56583i
\(568\) −1.35192e49 4.90367e48i −0.357011 0.129494i
\(569\) 3.71061e49 0.949345 0.474673 0.880162i \(-0.342566\pi\)
0.474673 + 0.880162i \(0.342566\pi\)
\(570\) 9.59524e48 + 7.13789e48i 0.237853 + 0.176939i
\(571\) 2.71045e49i 0.651017i 0.945539 + 0.325508i \(0.105535\pi\)
−0.945539 + 0.325508i \(0.894465\pi\)
\(572\) −5.27880e49 + 1.58461e49i −1.22859 + 0.368803i
\(573\) −6.04631e49 −1.36366
\(574\) 2.72823e48 3.66747e48i 0.0596304 0.0801591i
\(575\) 7.58046e49i 1.60574i
\(576\) 8.96814e49 + 7.49142e49i 1.84119 + 1.53801i
\(577\) −7.36078e48 −0.146473 −0.0732367 0.997315i \(-0.523333\pi\)
−0.0732367 + 0.997315i \(0.523333\pi\)
\(578\) −1.23828e49 9.21156e48i −0.238846 0.177677i
\(579\) 1.73906e50i 3.25162i
\(580\) −4.19783e48 1.39842e49i −0.0760889 0.253474i
\(581\) −2.94663e49 −0.517792
\(582\) −1.22631e49 + 1.64849e49i −0.208924 + 0.280849i
\(583\) 3.64479e49i 0.602059i
\(584\) −2.90741e49 + 8.01561e49i −0.465666 + 1.28382i
\(585\) 4.12458e49 0.640582
\(586\) −8.83587e49 6.57300e49i −1.33074 0.989935i
\(587\) 3.21694e49i 0.469848i 0.972014 + 0.234924i \(0.0754841\pi\)
−0.972014 + 0.234924i \(0.924516\pi\)
\(588\) −6.96161e49 + 2.08976e49i −0.986093 + 0.296009i
\(589\) −2.50931e49 −0.344730
\(590\) −1.01923e49 + 1.37012e49i −0.135811 + 0.182566i
\(591\) 1.23658e50i 1.59826i
\(592\) 1.91532e48 1.26378e48i 0.0240133 0.0158446i
\(593\) 2.77965e49 0.338070 0.169035 0.985610i \(-0.445935\pi\)
0.169035 + 0.985610i \(0.445935\pi\)
\(594\) 1.95411e50 + 1.45366e50i 2.30565 + 1.71517i
\(595\) 1.53356e49i 0.175548i
\(596\) −9.28352e48 3.09261e49i −0.103105 0.343473i
\(597\) 2.11018e50 2.27395
\(598\) 1.11532e50 1.49929e50i 1.16621 1.56770i
\(599\) 2.12300e49i 0.215411i 0.994183 + 0.107705i \(0.0343503\pi\)
−0.994183 + 0.107705i \(0.965650\pi\)
\(600\) −1.66553e50 6.04119e49i −1.63995 0.594840i
\(601\) −2.90392e49 −0.277488 −0.138744 0.990328i \(-0.544306\pi\)
−0.138744 + 0.990328i \(0.544306\pi\)
\(602\) −4.93934e49 3.67437e49i −0.458070 0.340758i
\(603\) 1.26423e50i 1.13793i
\(604\) 1.85504e49 5.56854e48i 0.162065 0.0486493i
\(605\) −6.59619e48 −0.0559366
\(606\) −9.81515e49 + 1.31942e50i −0.807960 + 1.08611i
\(607\) 2.45384e50i 1.96087i 0.196839 + 0.980436i \(0.436932\pi\)
−0.196839 + 0.980436i \(0.563068\pi\)
\(608\) −5.03227e48 + 8.92339e49i −0.0390391 + 0.692254i
\(609\) 1.85627e50 1.39807
\(610\) −4.40494e49 3.27683e49i −0.322109 0.239617i
\(611\) 4.76802e48i 0.0338530i
\(612\) −1.13973e50 3.79677e50i −0.785735 2.61751i
\(613\) −2.07905e50 −1.39180 −0.695898 0.718141i \(-0.744993\pi\)
−0.695898 + 0.718141i \(0.744993\pi\)
\(614\) −7.73171e49 + 1.03935e50i −0.502626 + 0.675663i
\(615\) 1.01822e49i 0.0642820i
\(616\) 4.11718e49 1.13509e50i 0.252434 0.695950i
\(617\) 2.32916e50 1.38697 0.693485 0.720471i \(-0.256074\pi\)
0.693485 + 0.720471i \(0.256074\pi\)
\(618\) 2.79061e50 + 2.07594e50i 1.61401 + 1.20066i
\(619\) 1.77577e50i 0.997595i −0.866719 0.498797i \(-0.833775\pi\)
0.866719 0.498797i \(-0.166225\pi\)
\(620\) −2.02373e49 + 6.07492e48i −0.110434 + 0.0331505i
\(621\) −8.25741e50 −4.37719
\(622\) 1.82474e50 2.45293e50i 0.939666 1.26316i
\(623\) 5.28465e49i 0.264382i
\(624\) 2.40530e50 + 3.64536e50i 1.16909 + 1.77181i
\(625\) 1.78205e50 0.841550
\(626\) −2.49610e49 1.85685e49i −0.114531 0.0851998i
\(627\) 3.19427e50i 1.42415i
\(628\) 2.94278e49 + 9.80325e49i 0.127492 + 0.424714i
\(629\) −7.78448e48 −0.0327731
\(630\) −5.39330e49 + 7.25004e49i −0.220660 + 0.296627i
\(631\) 9.00402e49i 0.358021i −0.983847 0.179010i \(-0.942710\pi\)
0.983847 0.179010i \(-0.0572895\pi\)
\(632\) 1.47276e49 + 5.34199e48i 0.0569149 + 0.0206441i
\(633\) 2.57593e49 0.0967536
\(634\) 2.40777e50 + 1.79114e50i 0.879041 + 0.653918i
\(635\) 5.30525e49i 0.188269i
\(636\) −2.76624e50 + 8.30379e49i −0.954247 + 0.286450i
\(637\) −1.91737e50 −0.642977
\(638\) 2.32768e50 3.12902e50i 0.758841 1.02009i
\(639\) 2.87459e50i 0.911088i
\(640\) 1.75446e49 + 7.31846e49i 0.0540636 + 0.225517i
\(641\) 4.65547e49 0.139482 0.0697411 0.997565i \(-0.477783\pi\)
0.0697411 + 0.997565i \(0.477783\pi\)
\(642\) −6.66268e50 4.95637e50i −1.94097 1.44389i
\(643\) 4.29584e50i 1.21689i 0.793597 + 0.608444i \(0.208206\pi\)
−0.793597 + 0.608444i \(0.791794\pi\)
\(644\) 1.17700e50 + 3.92093e50i 0.324214 + 1.08005i
\(645\) 1.37133e50 0.367340
\(646\) 1.80967e50 2.43268e50i 0.471427 0.633724i
\(647\) 2.15910e50i 0.547010i −0.961871 0.273505i \(-0.911817\pi\)
0.961871 0.273505i \(-0.0881831\pi\)
\(648\) 3.26083e50 8.98997e50i 0.803485 2.21518i
\(649\) −4.56113e50 −1.09312
\(650\) −3.74984e50 2.78951e50i −0.874123 0.650260i
\(651\) 2.68631e50i 0.609114i
\(652\) 3.35405e50 1.00683e50i 0.739798 0.222075i
\(653\) 5.38075e50 1.15453 0.577266 0.816556i \(-0.304120\pi\)
0.577266 + 0.816556i \(0.304120\pi\)
\(654\) −4.21812e50 + 5.67028e50i −0.880480 + 1.18360i
\(655\) 6.74440e49i 0.136962i
\(656\) −6.35161e49 + 4.19095e49i −0.125492 + 0.0828025i
\(657\) 1.70436e51 3.27631
\(658\) 8.38105e48 + 6.23466e48i 0.0156759 + 0.0116613i
\(659\) 5.76436e50i 1.04909i −0.851382 0.524546i \(-0.824235\pi\)
0.851382 0.524546i \(-0.175765\pi\)
\(660\) 7.73317e49 + 2.57614e50i 0.136951 + 0.456225i
\(661\) −8.17417e50 −1.40870 −0.704348 0.709854i \(-0.748761\pi\)
−0.704348 + 0.709854i \(0.748761\pi\)
\(662\) −3.99754e50 + 5.37377e50i −0.670424 + 0.901229i
\(663\) 1.48159e51i 2.41816i
\(664\) 4.61152e50 + 1.67268e50i 0.732519 + 0.265698i
\(665\) −6.91123e49 −0.106848
\(666\) −3.68018e49 2.73768e49i −0.0553774 0.0411952i
\(667\) 1.32222e51i 1.93659i
\(668\) −2.62686e50 + 7.88542e49i −0.374508 + 0.112421i
\(669\) −4.32408e50 −0.600101
\(670\) 4.85970e49 6.53274e49i 0.0656543 0.0882570i
\(671\) 1.46641e51i 1.92863i
\(672\) −9.55284e50 5.38724e49i −1.22317 0.0689794i
\(673\) −1.40655e51 −1.75342 −0.876709 0.481022i \(-0.840266\pi\)
−0.876709 + 0.481022i \(0.840266\pi\)
\(674\) 8.56412e50 + 6.37085e50i 1.03945 + 0.773249i
\(675\) 2.06525e51i 2.44064i
\(676\) 8.13760e49 + 2.71087e50i 0.0936388 + 0.311938i
\(677\) 2.08440e50 0.233553 0.116776 0.993158i \(-0.462744\pi\)
0.116776 + 0.993158i \(0.462744\pi\)
\(678\) −1.76592e51 + 2.37386e51i −1.92680 + 2.59013i
\(679\) 1.18737e50i 0.126163i
\(680\) 8.70541e49 2.40005e50i 0.0900801 0.248347i
\(681\) 3.46314e51 3.48997
\(682\) −4.52818e50 3.36851e50i −0.444432 0.330613i
\(683\) 1.80161e51i 1.72222i −0.508418 0.861110i \(-0.669770\pi\)
0.508418 0.861110i \(-0.330230\pi\)
\(684\) 1.71108e51 5.13637e50i 1.59316 0.478241i
\(685\) 1.93610e50 0.175589
\(686\) 6.99672e50 9.40546e50i 0.618102 0.830894i
\(687\) 2.44038e51i 2.10008i
\(688\) 5.64435e50 + 8.55432e50i 0.473175 + 0.717123i
\(689\) −7.61876e50 −0.622212
\(690\) −7.31678e50 5.44295e50i −0.582152 0.433062i
\(691\) 2.04610e51i 1.58607i 0.609177 + 0.793035i \(0.291500\pi\)
−0.609177 + 0.793035i \(0.708500\pi\)
\(692\) −2.75810e50 9.18802e50i −0.208305 0.693925i
\(693\) −2.41354e51 −1.77606
\(694\) 7.24252e50 9.73588e50i 0.519301 0.698080i
\(695\) 2.62363e50i 0.183306i
\(696\) −2.90510e51 1.05373e51i −1.97785 0.717404i
\(697\) 2.58149e50 0.171270
\(698\) −1.63537e51 1.21655e51i −1.05735 0.786560i
\(699\) 2.68336e51i 1.69079i
\(700\) 9.80658e50 2.94378e50i 0.602217 0.180776i
\(701\) 1.92653e50 0.115306 0.0576528 0.998337i \(-0.481638\pi\)
0.0576528 + 0.998337i \(0.481638\pi\)
\(702\) 3.03862e51 4.08471e51i 1.77259 2.38283i
\(703\) 3.50820e49i 0.0199475i
\(704\) −1.28869e51 + 1.54272e51i −0.714236 + 0.855026i
\(705\) −2.32687e49 −0.0125710
\(706\) 2.69739e51 + 2.00659e51i 1.42056 + 1.05675i
\(707\) 9.50347e50i 0.487902i
\(708\) 1.03914e51 + 3.46169e51i 0.520089 + 1.73257i
\(709\) −3.86868e51 −1.88769 −0.943844 0.330391i \(-0.892819\pi\)
−0.943844 + 0.330391i \(0.892819\pi\)
\(710\) −1.10499e50 + 1.48541e50i −0.0525666 + 0.0706636i
\(711\) 3.13154e50i 0.145246i
\(712\) 2.99989e50 8.27057e50i 0.135664 0.374021i
\(713\) 1.91345e51 0.843736
\(714\) 2.60428e51 + 1.93732e51i 1.11975 + 0.832980i
\(715\) 7.09521e50i 0.297479i
\(716\) 1.99845e51 5.99901e50i 0.817068 0.245271i
\(717\) −3.89166e50 −0.155164
\(718\) 5.19779e50 6.98722e50i 0.202106 0.271684i
\(719\) 2.73011e51i 1.03529i 0.855597 + 0.517643i \(0.173190\pi\)
−0.855597 + 0.517643i \(0.826810\pi\)
\(720\) 1.25562e51 8.28487e50i 0.464378 0.306408i
\(721\) −2.01001e51 −0.725044
\(722\) −1.18417e51 8.80905e50i −0.416625 0.309927i
\(723\) 1.04561e51i 0.358822i
\(724\) −7.46409e50 2.48650e51i −0.249852 0.832329i
\(725\) 3.30697e51 1.07981
\(726\) −8.33287e50 + 1.12016e51i −0.265421 + 0.356797i
\(727\) 2.89403e51i 0.899257i 0.893216 + 0.449629i \(0.148444\pi\)
−0.893216 + 0.449629i \(0.851556\pi\)
\(728\) −2.37270e51 8.60621e50i −0.719246 0.260884i
\(729\) −3.03535e51 −0.897663
\(730\) 8.80706e50 + 6.55157e50i 0.254109 + 0.189031i
\(731\) 3.47674e51i 0.978723i
\(732\) −1.11294e52 + 3.34087e51i −3.05684 + 0.917613i
\(733\) 7.89670e50 0.211629 0.105814 0.994386i \(-0.466255\pi\)
0.105814 + 0.994386i \(0.466255\pi\)
\(734\) −2.98168e51 + 4.00818e51i −0.779709 + 1.04814i
\(735\) 9.35706e50i 0.238763i
\(736\) 3.83732e50 6.80446e51i 0.0955493 1.69431i
\(737\) 2.17476e51 0.528440
\(738\) 1.22042e51 + 9.07873e50i 0.289398 + 0.215283i
\(739\) 2.27200e51i 0.525786i 0.964825 + 0.262893i \(0.0846767\pi\)
−0.964825 + 0.262893i \(0.915323\pi\)
\(740\) −8.49318e48 2.82933e49i −0.00191822 0.00639017i
\(741\) 6.67702e51 1.47182
\(742\) 9.96228e50 1.33920e51i 0.214333 0.288120i
\(743\) 6.02538e51i 1.26528i 0.774447 + 0.632639i \(0.218028\pi\)
−0.774447 + 0.632639i \(0.781972\pi\)
\(744\) −1.52491e51 + 4.20413e51i −0.312559 + 0.861713i
\(745\) −4.15676e50 −0.0831653
\(746\) 5.80118e51 + 4.31549e51i 1.13297 + 0.842814i
\(747\) 9.80548e51i 1.86938i
\(748\) 6.53130e51 1.96059e51i 1.21554 0.364887i
\(749\) 4.79897e51 0.871918
\(750\) −2.80003e51 + 3.76398e51i −0.496660 + 0.667644i
\(751\) 3.01091e51i 0.521410i 0.965419 + 0.260705i \(0.0839550\pi\)
−0.965419 + 0.260705i \(0.916045\pi\)
\(752\) −9.57732e49 1.45149e50i −0.0161928 0.0245411i
\(753\) −1.51415e51