Properties

Label 5.33.c.a.2.5
Level $5$
Weight $33$
Character 5.2
Analytic conductor $32.433$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 5 \)
Weight: \( k \) \(=\) \( 33 \)
Character orbit: \([\chi]\) \(=\) 5.c (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(32.4333275711\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 2.5
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-39535.2 - 39535.2i) q^{2} +(4.69567e7 - 4.69567e7i) q^{3} -1.16890e9i q^{4} +(-7.61848e10 + 1.32208e11i) q^{5} -3.71289e12 q^{6} +(2.85172e13 + 2.85172e13i) q^{7} +(-2.16015e14 + 2.16015e14i) q^{8} -2.55684e15i q^{9} +O(q^{10})\) \(q+(-39535.2 - 39535.2i) q^{2} +(4.69567e7 - 4.69567e7i) q^{3} -1.16890e9i q^{4} +(-7.61848e10 + 1.32208e11i) q^{5} -3.71289e12 q^{6} +(2.85172e13 + 2.85172e13i) q^{7} +(-2.16015e14 + 2.16015e14i) q^{8} -2.55684e15i q^{9} +(8.23885e15 - 2.21489e15i) q^{10} +6.29088e16 q^{11} +(-5.48877e16 - 5.48877e16i) q^{12} +(6.68945e17 - 6.68945e17i) q^{13} -2.25487e18i q^{14} +(2.63066e18 + 9.78543e18i) q^{15} +1.20600e19 q^{16} +(9.86415e17 + 9.86415e17i) q^{17} +(-1.01085e20 + 1.01085e20i) q^{18} +3.77787e20i q^{19} +(1.54538e20 + 8.90523e19i) q^{20} +2.67814e21 q^{21} +(-2.48712e21 - 2.48712e21i) q^{22} +(5.92343e21 - 5.92343e21i) q^{23} +2.02867e22i q^{24} +(-1.16748e22 - 2.01445e22i) q^{25} -5.28938e22 q^{26} +(-3.30491e22 - 3.30491e22i) q^{27} +(3.33337e22 - 3.33337e22i) q^{28} -2.77779e19i q^{29} +(2.82865e23 - 4.90873e23i) q^{30} -3.93433e23 q^{31} +(4.50982e23 + 4.50982e23i) q^{32} +(2.95399e24 - 2.95399e24i) q^{33} -7.79962e22i q^{34} +(-5.94277e24 + 1.59762e24i) q^{35} -2.98869e24 q^{36} +(-4.19934e24 - 4.19934e24i) q^{37} +(1.49359e25 - 1.49359e25i) q^{38} -6.28229e25i q^{39} +(-1.21019e25 - 4.50160e25i) q^{40} +8.53049e25 q^{41} +(-1.05881e26 - 1.05881e26i) q^{42} +(-8.89872e25 + 8.89872e25i) q^{43} -7.35341e25i q^{44} +(3.38035e26 + 1.94792e26i) q^{45} -4.68368e26 q^{46} +(3.07295e26 + 3.07295e26i) q^{47} +(5.66299e26 - 5.66299e26i) q^{48} +5.22031e26i q^{49} +(-3.34849e26 + 1.25798e27i) q^{50} +9.26375e25 q^{51} +(-7.81929e26 - 7.81929e26i) q^{52} +(4.54942e26 - 4.54942e26i) q^{53} +2.61321e27i q^{54} +(-4.79270e27 + 8.31705e27i) q^{55} -1.23203e28 q^{56} +(1.77396e28 + 1.77396e28i) q^{57} +(-1.09821e24 + 1.09821e24i) q^{58} -1.68462e28i q^{59} +(1.14382e28 - 3.07498e27i) q^{60} -1.17239e28 q^{61} +(1.55544e28 + 1.55544e28i) q^{62} +(7.29139e28 - 7.29139e28i) q^{63} -8.74568e28i q^{64} +(3.74764e28 + 1.39403e29i) q^{65} -2.33573e29 q^{66} +(-1.91395e29 - 1.91395e29i) q^{67} +(1.15302e27 - 1.15302e27i) q^{68} -5.56289e29i q^{69} +(2.98111e29 + 1.71786e29i) q^{70} -1.41479e29 q^{71} +(5.52317e29 + 5.52317e29i) q^{72} +(5.53990e29 - 5.53990e29i) q^{73} +3.32043e29i q^{74} +(-1.49413e30 - 3.97706e29i) q^{75} +4.41595e29 q^{76} +(1.79398e30 + 1.79398e30i) q^{77} +(-2.48372e30 + 2.48372e30i) q^{78} +1.90483e30i q^{79} +(-9.18791e29 + 1.59443e30i) q^{80} +1.63413e30 q^{81} +(-3.37255e30 - 3.37255e30i) q^{82} +(2.78325e30 - 2.78325e30i) q^{83} -3.13048e30i q^{84} +(-2.05562e29 + 5.52621e28i) q^{85} +7.03626e30 q^{86} +(-1.30436e27 - 1.30436e27i) q^{87} +(-1.35893e31 + 1.35893e31i) q^{88} -2.46808e30i q^{89} +(-5.66312e30 - 2.10654e31i) q^{90} +3.81528e31 q^{91} +(-6.92389e30 - 6.92389e30i) q^{92} +(-1.84743e31 + 1.84743e31i) q^{93} -2.42979e31i q^{94} +(-4.99464e31 - 2.87816e31i) q^{95} +4.23533e31 q^{96} +(4.72097e31 + 4.72097e31i) q^{97} +(2.06386e31 - 2.06386e31i) q^{98} -1.60848e32i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q - 2q^{2} - 2792232q^{3} + 229266409900q^{5} - 645476451240q^{6} + 21807690136848q^{7} + 340768936037220q^{8} + O(q^{10}) \) \( 30q - 2q^{2} - 2792232q^{3} + 229266409900q^{5} - 645476451240q^{6} + 21807690136848q^{7} + 340768936037220q^{8} - 17555754485145450q^{10} - 60908362837533640q^{11} + 444566273630869608q^{12} + 649759187023107138q^{13} + 6285624407445962400q^{15} - 46108906958970522120q^{16} - \)\(21\!\cdots\!02\)\(q^{17} + \)\(24\!\cdots\!58\)\(q^{18} - \)\(30\!\cdots\!00\)\(q^{20} + \)\(45\!\cdots\!60\)\(q^{21} - \)\(11\!\cdots\!44\)\(q^{22} + \)\(13\!\cdots\!08\)\(q^{23} + \)\(35\!\cdots\!50\)\(q^{25} - \)\(23\!\cdots\!40\)\(q^{26} + \)\(17\!\cdots\!60\)\(q^{27} + \)\(59\!\cdots\!12\)\(q^{28} + \)\(12\!\cdots\!00\)\(q^{30} - \)\(12\!\cdots\!40\)\(q^{31} + \)\(31\!\cdots\!68\)\(q^{32} - \)\(16\!\cdots\!04\)\(q^{33} - \)\(81\!\cdots\!00\)\(q^{35} + \)\(31\!\cdots\!80\)\(q^{36} - \)\(12\!\cdots\!02\)\(q^{37} + \)\(57\!\cdots\!80\)\(q^{38} + \)\(21\!\cdots\!00\)\(q^{40} - \)\(15\!\cdots\!40\)\(q^{41} + \)\(79\!\cdots\!36\)\(q^{42} - \)\(54\!\cdots\!52\)\(q^{43} + \)\(10\!\cdots\!50\)\(q^{45} - \)\(34\!\cdots\!40\)\(q^{46} + \)\(27\!\cdots\!48\)\(q^{47} - \)\(31\!\cdots\!92\)\(q^{48} + \)\(44\!\cdots\!50\)\(q^{50} - \)\(61\!\cdots\!40\)\(q^{51} + \)\(60\!\cdots\!28\)\(q^{52} - \)\(11\!\cdots\!82\)\(q^{53} - \)\(71\!\cdots\!00\)\(q^{55} - \)\(47\!\cdots\!00\)\(q^{56} + \)\(44\!\cdots\!20\)\(q^{57} - \)\(29\!\cdots\!80\)\(q^{58} + \)\(34\!\cdots\!00\)\(q^{60} + \)\(50\!\cdots\!60\)\(q^{61} - \)\(21\!\cdots\!24\)\(q^{62} + \)\(21\!\cdots\!08\)\(q^{63} - \)\(34\!\cdots\!50\)\(q^{65} + \)\(13\!\cdots\!20\)\(q^{66} - \)\(73\!\cdots\!52\)\(q^{67} + \)\(10\!\cdots\!12\)\(q^{68} - \)\(36\!\cdots\!00\)\(q^{70} + \)\(81\!\cdots\!60\)\(q^{71} - \)\(95\!\cdots\!20\)\(q^{72} - \)\(37\!\cdots\!42\)\(q^{73} + \)\(10\!\cdots\!00\)\(q^{75} - \)\(66\!\cdots\!00\)\(q^{76} + \)\(63\!\cdots\!56\)\(q^{77} - \)\(91\!\cdots\!84\)\(q^{78} + \)\(58\!\cdots\!00\)\(q^{80} - \)\(14\!\cdots\!70\)\(q^{81} + \)\(27\!\cdots\!36\)\(q^{82} + \)\(49\!\cdots\!28\)\(q^{83} - \)\(44\!\cdots\!50\)\(q^{85} + \)\(16\!\cdots\!60\)\(q^{86} + \)\(36\!\cdots\!80\)\(q^{87} - \)\(47\!\cdots\!60\)\(q^{88} + \)\(81\!\cdots\!50\)\(q^{90} - \)\(10\!\cdots\!40\)\(q^{91} - \)\(18\!\cdots\!52\)\(q^{92} + \)\(11\!\cdots\!16\)\(q^{93} - \)\(10\!\cdots\!00\)\(q^{95} + \)\(38\!\cdots\!60\)\(q^{96} - \)\(15\!\cdots\!02\)\(q^{97} + \)\(12\!\cdots\!02\)\(q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/5\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −39535.2 39535.2i −0.603260 0.603260i 0.337916 0.941176i \(-0.390278\pi\)
−0.941176 + 0.337916i \(0.890278\pi\)
\(3\) 4.69567e7 4.69567e7i 1.09083 1.09083i 0.0953909 0.995440i \(-0.469590\pi\)
0.995440 0.0953909i \(-0.0304101\pi\)
\(4\) 1.16890e9i 0.272156i
\(5\) −7.61848e10 + 1.32208e11i −0.499284 + 0.866438i
\(6\) −3.71289e12 −1.31611
\(7\) 2.85172e13 + 2.85172e13i 0.858100 + 0.858100i 0.991114 0.133014i \(-0.0424655\pi\)
−0.133014 + 0.991114i \(0.542466\pi\)
\(8\) −2.16015e14 + 2.16015e14i −0.767440 + 0.767440i
\(9\) 2.55684e15i 1.37982i
\(10\) 8.23885e15 2.21489e15i 0.823885 0.221489i
\(11\) 6.29088e16 1.36908 0.684540 0.728975i \(-0.260003\pi\)
0.684540 + 0.728975i \(0.260003\pi\)
\(12\) −5.48877e16 5.48877e16i −0.296876 0.296876i
\(13\) 6.68945e17 6.68945e17i 1.00530 1.00530i 0.00531621 0.999986i \(-0.498308\pi\)
0.999986 0.00531621i \(-0.00169221\pi\)
\(14\) 2.25487e18i 1.03531i
\(15\) 2.63066e18 + 9.78543e18i 0.400503 + 1.48977i
\(16\) 1.20600e19 0.653776
\(17\) 9.86415e17 + 9.86415e17i 0.0202711 + 0.0202711i 0.717170 0.696899i \(-0.245437\pi\)
−0.696899 + 0.717170i \(0.745437\pi\)
\(18\) −1.01085e20 + 1.01085e20i −0.832392 + 0.832392i
\(19\) 3.77787e20i 1.30975i 0.755736 + 0.654876i \(0.227279\pi\)
−0.755736 + 0.654876i \(0.772721\pi\)
\(20\) 1.54538e20 + 8.90523e19i 0.235806 + 0.135883i
\(21\) 2.67814e21 1.87208
\(22\) −2.48712e21 2.48712e21i −0.825911 0.825911i
\(23\) 5.92343e21 5.92343e21i 0.965890 0.965890i −0.0335474 0.999437i \(-0.510680\pi\)
0.999437 + 0.0335474i \(0.0106805\pi\)
\(24\) 2.02867e22i 1.67429i
\(25\) −1.16748e22 2.01445e22i −0.501430 0.865198i
\(26\) −5.28938e22 −1.21292
\(27\) −3.30491e22 3.30491e22i −0.414323 0.414323i
\(28\) 3.33337e22 3.33337e22i 0.233537 0.233537i
\(29\) 2.77779e19i 0.000111002i −1.00000 5.55011e-5i \(-0.999982\pi\)
1.00000 5.55011e-5i \(-1.76665e-5\pi\)
\(30\) 2.82865e23 4.90873e23i 0.657112 1.14033i
\(31\) −3.93433e23 −0.540858 −0.270429 0.962740i \(-0.587166\pi\)
−0.270429 + 0.962740i \(0.587166\pi\)
\(32\) 4.50982e23 + 4.50982e23i 0.373044 + 0.373044i
\(33\) 2.95399e24 2.95399e24i 1.49343 1.49343i
\(34\) 7.79962e22i 0.0244574i
\(35\) −5.94277e24 + 1.59762e24i −1.17193 + 0.315055i
\(36\) −2.98869e24 −0.375527
\(37\) −4.19934e24 4.19934e24i −0.340371 0.340371i 0.516136 0.856507i \(-0.327370\pi\)
−0.856507 + 0.516136i \(0.827370\pi\)
\(38\) 1.49359e25 1.49359e25i 0.790121 0.790121i
\(39\) 6.28229e25i 2.19323i
\(40\) −1.21019e25 4.50160e25i −0.281768 1.04811i
\(41\) 8.53049e25 1.33793 0.668964 0.743295i \(-0.266738\pi\)
0.668964 + 0.743295i \(0.266738\pi\)
\(42\) −1.05881e26 1.05881e26i −1.12935 1.12935i
\(43\) −8.89872e25 + 8.89872e25i −0.651377 + 0.651377i −0.953324 0.301948i \(-0.902363\pi\)
0.301948 + 0.953324i \(0.402363\pi\)
\(44\) 7.35341e25i 0.372603i
\(45\) 3.38035e26 + 1.94792e26i 1.19553 + 0.688925i
\(46\) −4.68368e26 −1.16536
\(47\) 3.07295e26 + 3.07295e26i 0.541988 + 0.541988i 0.924111 0.382124i \(-0.124807\pi\)
−0.382124 + 0.924111i \(0.624807\pi\)
\(48\) 5.66299e26 5.66299e26i 0.713159 0.713159i
\(49\) 5.22031e26i 0.472671i
\(50\) −3.34849e26 + 1.25798e27i −0.219447 + 0.824432i
\(51\) 9.26375e25 0.0442246
\(52\) −7.81929e26 7.81929e26i −0.273599 0.273599i
\(53\) 4.54942e26 4.54942e26i 0.117366 0.117366i −0.645984 0.763351i \(-0.723553\pi\)
0.763351 + 0.645984i \(0.223553\pi\)
\(54\) 2.61321e27i 0.499889i
\(55\) −4.79270e27 + 8.31705e27i −0.683560 + 1.18622i
\(56\) −1.23203e28 −1.31708
\(57\) 1.77396e28 + 1.77396e28i 1.42872 + 1.42872i
\(58\) −1.09821e24 + 1.09821e24i −6.69631e−5 + 6.69631e-5i
\(59\) 1.68462e28i 0.781393i −0.920520 0.390696i \(-0.872234\pi\)
0.920520 0.390696i \(-0.127766\pi\)
\(60\) 1.14382e28 3.07498e27i 0.405450 0.108999i
\(61\) −1.17239e28 −0.319004 −0.159502 0.987198i \(-0.550989\pi\)
−0.159502 + 0.987198i \(0.550989\pi\)
\(62\) 1.55544e28 + 1.55544e28i 0.326278 + 0.326278i
\(63\) 7.29139e28 7.29139e28i 1.18403 1.18403i
\(64\) 8.74568e28i 1.10386i
\(65\) 3.74764e28 + 1.39403e29i 0.369100 + 1.37296i
\(66\) −2.33573e29 −1.80186
\(67\) −1.91395e29 1.91395e29i −1.16074 1.16074i −0.984315 0.176422i \(-0.943548\pi\)
−0.176422 0.984315i \(-0.556452\pi\)
\(68\) 1.15302e27 1.15302e27i 0.00551689 0.00551689i
\(69\) 5.56289e29i 2.10724i
\(70\) 2.98111e29 + 1.71786e29i 0.897036 + 0.516916i
\(71\) −1.41479e29 −0.339279 −0.169640 0.985506i \(-0.554260\pi\)
−0.169640 + 0.985506i \(0.554260\pi\)
\(72\) 5.52317e29 + 5.52317e29i 1.05893 + 1.05893i
\(73\) 5.53990e29 5.53990e29i 0.851797 0.851797i −0.138558 0.990354i \(-0.544247\pi\)
0.990354 + 0.138558i \(0.0442467\pi\)
\(74\) 3.32043e29i 0.410665i
\(75\) −1.49413e30 3.97706e29i −1.49076 0.396809i
\(76\) 4.41595e29 0.356456
\(77\) 1.79398e30 + 1.79398e30i 1.17481 + 1.17481i
\(78\) −2.48372e30 + 2.48372e30i −1.32309 + 1.32309i
\(79\) 1.90483e30i 0.827604i 0.910367 + 0.413802i \(0.135799\pi\)
−0.910367 + 0.413802i \(0.864201\pi\)
\(80\) −9.18791e29 + 1.59443e30i −0.326420 + 0.566456i
\(81\) 1.63413e30 0.475910
\(82\) −3.37255e30 3.37255e30i −0.807117 0.807117i
\(83\) 2.78325e30 2.78325e30i 0.548659 0.548659i −0.377394 0.926053i \(-0.623180\pi\)
0.926053 + 0.377394i \(0.123180\pi\)
\(84\) 3.13048e30i 0.509498i
\(85\) −2.05562e29 + 5.52621e28i −0.0276847 + 0.00744260i
\(86\) 7.03626e30 0.785898
\(87\) −1.30436e27 1.30436e27i −0.000121085 0.000121085i
\(88\) −1.35893e31 + 1.35893e31i −1.05069 + 1.05069i
\(89\) 2.46808e30i 0.159265i −0.996824 0.0796323i \(-0.974625\pi\)
0.996824 0.0796323i \(-0.0253746\pi\)
\(90\) −5.66312e30 2.10654e31i −0.305616 1.13682i
\(91\) 3.81528e31 1.72530
\(92\) −6.92389e30 6.92389e30i −0.262872 0.262872i
\(93\) −1.84743e31 + 1.84743e31i −0.589985 + 0.589985i
\(94\) 2.42979e31i 0.653919i
\(95\) −4.99464e31 2.87816e31i −1.13482 0.653939i
\(96\) 4.23533e31 0.813855
\(97\) 4.72097e31 + 4.72097e31i 0.768569 + 0.768569i 0.977855 0.209285i \(-0.0671137\pi\)
−0.209285 + 0.977855i \(0.567114\pi\)
\(98\) 2.06386e31 2.06386e31i 0.285144 0.285144i
\(99\) 1.60848e32i 1.88909i
\(100\) −2.35469e31 + 1.36467e31i −0.235469 + 0.136467i
\(101\) −7.50238e31 −0.639819 −0.319909 0.947448i \(-0.603652\pi\)
−0.319909 + 0.947448i \(0.603652\pi\)
\(102\) −3.66245e30 3.66245e30i −0.0266789 0.0266789i
\(103\) −7.84408e30 + 7.84408e30i −0.0488817 + 0.0488817i −0.731125 0.682243i \(-0.761004\pi\)
0.682243 + 0.731125i \(0.261004\pi\)
\(104\) 2.89004e32i 1.54302i
\(105\) −2.04034e32 + 3.54072e32i −0.934702 + 1.62204i
\(106\) −3.59725e31 −0.141604
\(107\) 2.98505e32 + 2.98505e32i 1.01114 + 1.01114i 0.999937 + 0.0112018i \(0.00356572\pi\)
0.0112018 + 0.999937i \(0.496434\pi\)
\(108\) −3.86311e31 + 3.86311e31i −0.112760 + 0.112760i
\(109\) 2.49847e32i 0.629289i −0.949210 0.314644i \(-0.898115\pi\)
0.949210 0.314644i \(-0.101885\pi\)
\(110\) 5.18297e32 1.39336e32i 1.12796 0.303236i
\(111\) −3.94374e32 −0.742575
\(112\) 3.43918e32 + 3.43918e32i 0.561005 + 0.561005i
\(113\) 1.36893e32 1.36893e32i 0.193699 0.193699i −0.603593 0.797292i \(-0.706265\pi\)
0.797292 + 0.603593i \(0.206265\pi\)
\(114\) 1.40268e33i 1.72378i
\(115\) 3.31849e32 + 1.23440e33i 0.354630 + 1.31914i
\(116\) −3.24696e28 −3.02099e−5
\(117\) −1.71039e33 1.71039e33i −1.38714 1.38714i
\(118\) −6.66018e32 + 6.66018e32i −0.471383 + 0.471383i
\(119\) 5.62595e31i 0.0347892i
\(120\) −2.68207e33 1.54554e33i −1.45067 0.835949i
\(121\) 1.84615e33 0.874379
\(122\) 4.63508e32 + 4.63508e32i 0.192442 + 0.192442i
\(123\) 4.00564e33 4.00564e33i 1.45945 1.45945i
\(124\) 4.59883e32i 0.147198i
\(125\) 3.55270e33 8.80412e30i 0.999997 0.00247814i
\(126\) −5.76533e33 −1.42855
\(127\) 9.12962e32 + 9.12962e32i 0.199339 + 0.199339i 0.799717 0.600377i \(-0.204983\pi\)
−0.600377 + 0.799717i \(0.704983\pi\)
\(128\) −1.52067e33 + 1.52067e33i −0.292871 + 0.292871i
\(129\) 8.35709e33i 1.42108i
\(130\) 4.02970e33 6.99298e33i 0.605590 1.05092i
\(131\) 8.11479e33 1.07879 0.539394 0.842053i \(-0.318653\pi\)
0.539394 + 0.842053i \(0.318653\pi\)
\(132\) −3.45292e33 3.45292e33i −0.406447 0.406447i
\(133\) −1.07734e34 + 1.07734e34i −1.12390 + 1.12390i
\(134\) 1.51337e34i 1.40045i
\(135\) 6.88719e33 1.85152e33i 0.565851 0.152120i
\(136\) −4.26161e32 −0.0311137
\(137\) −1.69300e34 1.69300e34i −1.09933 1.09933i −0.994489 0.104842i \(-0.966566\pi\)
−0.104842 0.994489i \(-0.533434\pi\)
\(138\) −2.19930e34 + 2.19930e34i −1.27122 + 1.27122i
\(139\) 2.64534e32i 0.0136221i 0.999977 + 0.00681107i \(0.00216805\pi\)
−0.999977 + 0.00681107i \(0.997832\pi\)
\(140\) 1.86746e33 + 6.94650e33i 0.0857439 + 0.318946i
\(141\) 2.88591e34 1.18243
\(142\) 5.59339e33 + 5.59339e33i 0.204673 + 0.204673i
\(143\) 4.20825e34 4.20825e34i 1.37634 1.37634i
\(144\) 3.08356e34i 0.902095i
\(145\) 3.67246e30 + 2.11625e30i 9.61765e−5 + 5.54217e-5i
\(146\) −4.38042e34 −1.02771
\(147\) 2.45129e34 + 2.45129e34i 0.515605 + 0.515605i
\(148\) −4.90860e33 + 4.90860e33i −0.0926340 + 0.0926340i
\(149\) 7.97866e33i 0.135192i −0.997713 0.0675958i \(-0.978467\pi\)
0.997713 0.0675958i \(-0.0215328\pi\)
\(150\) 4.33473e34 + 7.47941e34i 0.659936 + 1.13869i
\(151\) −5.06801e34 −0.693756 −0.346878 0.937910i \(-0.612758\pi\)
−0.346878 + 0.937910i \(0.612758\pi\)
\(152\) −8.16077e34 8.16077e34i −1.00516 1.00516i
\(153\) 2.52211e33 2.52211e33i 0.0279705 0.0279705i
\(154\) 1.41851e35i 1.41743i
\(155\) 2.99736e34 5.20149e34i 0.270042 0.468620i
\(156\) −7.34336e34 −0.596900
\(157\) 7.62382e34 + 7.62382e34i 0.559472 + 0.559472i 0.929157 0.369685i \(-0.120535\pi\)
−0.369685 + 0.929157i \(0.620535\pi\)
\(158\) 7.53079e34 7.53079e34i 0.499260 0.499260i
\(159\) 4.27252e34i 0.256053i
\(160\) −9.39814e34 + 2.52655e34i −0.509474 + 0.136964i
\(161\) 3.37839e35 1.65766
\(162\) −6.46055e34 6.46055e34i −0.287097 0.287097i
\(163\) −2.81526e35 + 2.81526e35i −1.13375 + 1.13375i −0.144200 + 0.989549i \(0.546061\pi\)
−0.989549 + 0.144200i \(0.953939\pi\)
\(164\) 9.97129e34i 0.364124i
\(165\) 1.65492e35 + 6.15590e35i 0.548320 + 2.03962i
\(166\) −2.20073e35 −0.661968
\(167\) 1.74820e35 + 1.74820e35i 0.477670 + 0.477670i 0.904386 0.426716i \(-0.140330\pi\)
−0.426716 + 0.904386i \(0.640330\pi\)
\(168\) −5.78520e35 + 5.78520e35i −1.43671 + 1.43671i
\(169\) 4.52195e35i 1.02126i
\(170\) 1.03117e34 + 5.94213e33i 0.0211909 + 0.0122112i
\(171\) 9.65941e35 1.80723
\(172\) 1.04017e35 + 1.04017e35i 0.177276 + 0.177276i
\(173\) −4.55117e35 + 4.55117e35i −0.706944 + 0.706944i −0.965891 0.258947i \(-0.916624\pi\)
0.258947 + 0.965891i \(0.416624\pi\)
\(174\) 1.03136e32i 0.000146091i
\(175\) 2.41530e35 9.07397e35i 0.312149 1.17270i
\(176\) 7.58683e35 0.895071
\(177\) −7.91041e35 7.91041e35i −0.852367 0.852367i
\(178\) −9.75761e34 + 9.75761e34i −0.0960778 + 0.0960778i
\(179\) 1.66069e36i 1.49500i −0.664262 0.747500i \(-0.731254\pi\)
0.664262 0.747500i \(-0.268746\pi\)
\(180\) 2.27693e35 3.95129e35i 0.187495 0.325371i
\(181\) −5.92307e35 −0.446365 −0.223182 0.974777i \(-0.571645\pi\)
−0.223182 + 0.974777i \(0.571645\pi\)
\(182\) −1.50838e36 1.50838e36i −1.04080 1.04080i
\(183\) −5.50517e35 + 5.50517e35i −0.347979 + 0.347979i
\(184\) 2.55910e36i 1.48253i
\(185\) 8.75111e35 2.35260e35i 0.464853 0.124969i
\(186\) 1.46077e36 0.711828
\(187\) 6.20542e34 + 6.20542e34i 0.0277527 + 0.0277527i
\(188\) 3.59197e35 3.59197e35i 0.147505 0.147505i
\(189\) 1.88493e36i 0.711062i
\(190\) 8.36756e35 + 3.11253e36i 0.290096 + 1.07909i
\(191\) 2.28483e36 0.728317 0.364158 0.931337i \(-0.381357\pi\)
0.364158 + 0.931337i \(0.381357\pi\)
\(192\) −4.10668e36 4.10668e36i −1.20412 1.20412i
\(193\) −2.78936e36 + 2.78936e36i −0.752640 + 0.752640i −0.974971 0.222331i \(-0.928633\pi\)
0.222331 + 0.974971i \(0.428633\pi\)
\(194\) 3.73289e36i 0.927294i
\(195\) 8.30568e36 + 4.78614e36i 1.90030 + 1.09505i
\(196\) 6.10202e35 0.128640
\(197\) 3.43604e36 + 3.43604e36i 0.667726 + 0.667726i 0.957189 0.289463i \(-0.0934768\pi\)
−0.289463 + 0.957189i \(0.593477\pi\)
\(198\) −6.35916e36 + 6.35916e36i −1.13961 + 1.13961i
\(199\) 6.51209e36i 1.07664i −0.842740 0.538321i \(-0.819059\pi\)
0.842740 0.538321i \(-0.180941\pi\)
\(200\) 6.87345e36 + 1.82957e36i 1.04881 + 0.279170i
\(201\) −1.79745e37 −2.53233
\(202\) 2.96608e36 + 2.96608e36i 0.385977 + 0.385977i
\(203\) 7.92147e32 7.92147e32i 9.52510e−5 9.52510e-5i
\(204\) 1.08284e35i 0.0120360i
\(205\) −6.49894e36 + 1.12780e37i −0.668006 + 1.15923i
\(206\) 6.20235e35 0.0589767
\(207\) −1.51453e37 1.51453e37i −1.33276 1.33276i
\(208\) 8.06749e36 8.06749e36i 0.657242 0.657242i
\(209\) 2.37661e37i 1.79316i
\(210\) 2.20648e37 5.93180e36i 1.54238 0.414646i
\(211\) 2.09448e37 1.35693 0.678464 0.734633i \(-0.262646\pi\)
0.678464 + 0.734633i \(0.262646\pi\)
\(212\) −5.31782e35 5.31782e35i −0.0319418 0.0319418i
\(213\) −6.64337e36 + 6.64337e36i −0.370096 + 0.370096i
\(214\) 2.36029e37i 1.21996i
\(215\) −4.98535e36 1.85443e37i −0.239155 0.889600i
\(216\) 1.42782e37 0.635937
\(217\) −1.12196e37 1.12196e37i −0.464110 0.464110i
\(218\) −9.87775e36 + 9.87775e36i −0.379625 + 0.379625i
\(219\) 5.20270e37i 1.85833i
\(220\) 9.72180e36 + 5.60218e36i 0.322837 + 0.186035i
\(221\) 1.31971e36 0.0407571
\(222\) 1.55917e37 + 1.55917e37i 0.447966 + 0.447966i
\(223\) −4.23335e37 + 4.23335e37i −1.13190 + 1.13190i −0.142035 + 0.989862i \(0.545365\pi\)
−0.989862 + 0.142035i \(0.954635\pi\)
\(224\) 2.57215e37i 0.640218i
\(225\) −5.15062e37 + 2.98507e37i −1.19382 + 0.691885i
\(226\) −1.08242e37 −0.233701
\(227\) −2.72163e37 2.72163e37i −0.547540 0.547540i 0.378189 0.925729i \(-0.376547\pi\)
−0.925729 + 0.378189i \(0.876547\pi\)
\(228\) 2.07358e37 2.07358e37i 0.388834 0.388834i
\(229\) 8.21268e37i 1.43588i −0.696107 0.717938i \(-0.745086\pi\)
0.696107 0.717938i \(-0.254914\pi\)
\(230\) 3.56825e37 6.19220e37i 0.581848 1.00972i
\(231\) 1.68479e38 2.56303
\(232\) 6.00045e33 + 6.00045e33i 8.51875e−5 + 8.51875e-5i
\(233\) −8.56463e37 + 8.56463e37i −1.13505 + 1.13505i −0.145721 + 0.989326i \(0.546550\pi\)
−0.989326 + 0.145721i \(0.953450\pi\)
\(234\) 1.35241e38i 1.67361i
\(235\) −6.40380e37 + 1.72156e37i −0.740205 + 0.198993i
\(236\) −1.96915e37 −0.212660
\(237\) 8.94445e37 + 8.94445e37i 0.902776 + 0.902776i
\(238\) 2.22423e36 2.22423e36i 0.0209869 0.0209869i
\(239\) 6.49375e37i 0.572966i 0.958085 + 0.286483i \(0.0924862\pi\)
−0.958085 + 0.286483i \(0.907514\pi\)
\(240\) 3.17259e37 + 1.18013e38i 0.261839 + 0.973977i
\(241\) −4.79578e37 −0.370328 −0.185164 0.982708i \(-0.559282\pi\)
−0.185164 + 0.982708i \(0.559282\pi\)
\(242\) −7.29878e37 7.29878e37i −0.527478 0.527478i
\(243\) 1.37974e38 1.37974e38i 0.933461 0.933461i
\(244\) 1.37041e37i 0.0868187i
\(245\) −6.90167e37 3.97708e37i −0.409541 0.235998i
\(246\) −3.16728e38 −1.76086
\(247\) 2.52718e38 + 2.52718e38i 1.31670 + 1.31670i
\(248\) 8.49874e37 8.49874e37i 0.415076 0.415076i
\(249\) 2.61384e38i 1.19699i
\(250\) −1.40805e38 1.40109e38i −0.604753 0.601763i
\(251\) −1.70220e38 −0.685851 −0.342926 0.939363i \(-0.611418\pi\)
−0.342926 + 0.939363i \(0.611418\pi\)
\(252\) −8.52290e37 8.52290e37i −0.322240 0.322240i
\(253\) 3.72636e38 3.72636e38i 1.32238 1.32238i
\(254\) 7.21883e37i 0.240507i
\(255\) −7.05757e36 + 1.22474e37i −0.0220807 + 0.0383179i
\(256\) −2.55384e38 −0.750506
\(257\) 2.03465e38 + 2.03465e38i 0.561772 + 0.561772i 0.929810 0.368039i \(-0.119971\pi\)
−0.368039 + 0.929810i \(0.619971\pi\)
\(258\) 3.30399e38 3.30399e38i 0.857282 0.857282i
\(259\) 2.39506e38i 0.584145i
\(260\) 1.62948e38 4.38062e37i 0.373660 0.100453i
\(261\) −7.10237e34 −0.000153163
\(262\) −3.20820e38 3.20820e38i −0.650790 0.650790i
\(263\) −5.13008e38 + 5.13008e38i −0.979111 + 0.979111i −0.999786 0.0206750i \(-0.993418\pi\)
0.0206750 + 0.999786i \(0.493418\pi\)
\(264\) 1.27621e39i 2.29224i
\(265\) 2.54873e37 + 9.48067e37i 0.0430914 + 0.160289i
\(266\) 8.51859e38 1.35601
\(267\) −1.15893e38 1.15893e38i −0.173731 0.173731i
\(268\) −2.23721e38 + 2.23721e38i −0.315901 + 0.315901i
\(269\) 9.62084e38i 1.27990i 0.768416 + 0.639951i \(0.221045\pi\)
−0.768416 + 0.639951i \(0.778955\pi\)
\(270\) −3.45487e38 1.99087e38i −0.433123 0.249587i
\(271\) −9.79970e38 −1.15799 −0.578994 0.815332i \(-0.696555\pi\)
−0.578994 + 0.815332i \(0.696555\pi\)
\(272\) 1.18962e37 + 1.18962e37i 0.0132527 + 0.0132527i
\(273\) 1.79153e39 1.79153e39i 1.88201 1.88201i
\(274\) 1.33866e39i 1.32636i
\(275\) −7.34450e38 1.26727e39i −0.686498 1.18453i
\(276\) −6.50246e38 −0.573498
\(277\) 1.18648e39 + 1.18648e39i 0.987607 + 0.987607i 0.999924 0.0123171i \(-0.00392076\pi\)
−0.0123171 + 0.999924i \(0.503921\pi\)
\(278\) 1.04584e37 1.04584e37i 0.00821769 0.00821769i
\(279\) 1.00594e39i 0.746289i
\(280\) 9.38618e38 1.62884e39i 0.657598 1.14117i
\(281\) 1.83305e39 1.21303 0.606516 0.795071i \(-0.292567\pi\)
0.606516 + 0.795071i \(0.292567\pi\)
\(282\) −1.14095e39 1.14095e39i −0.713315 0.713315i
\(283\) −1.81229e39 + 1.81229e39i −1.07064 + 1.07064i −0.0733339 + 0.997307i \(0.523364\pi\)
−0.997307 + 0.0733339i \(0.976636\pi\)
\(284\) 1.65374e38i 0.0923368i
\(285\) −3.69681e39 + 9.93830e38i −1.95123 + 0.524559i
\(286\) −3.32749e39 −1.66058
\(287\) 2.43266e39 + 2.43266e39i 1.14808 + 1.14808i
\(288\) 1.15309e39 1.15309e39i 0.514735 0.514735i
\(289\) 2.36597e39i 0.999178i
\(290\) −6.15250e34 2.28858e35i −2.45858e−5 9.14531e-5i
\(291\) 4.43362e39 1.67676
\(292\) −6.47558e38 6.47558e38i −0.231821 0.231821i
\(293\) 2.36618e39 2.36618e39i 0.801985 0.801985i −0.181421 0.983406i \(-0.558070\pi\)
0.983406 + 0.181421i \(0.0580696\pi\)
\(294\) 1.93824e39i 0.622087i
\(295\) 2.22720e39 + 1.28342e39i 0.677029 + 0.390137i
\(296\) 1.81424e39 0.522429
\(297\) −2.07908e39 2.07908e39i −0.567242 0.567242i
\(298\) −3.15438e38 + 3.15438e38i −0.0815557 + 0.0815557i
\(299\) 7.92489e39i 1.94202i
\(300\) −4.64878e38 + 1.74649e39i −0.107994 + 0.405719i
\(301\) −5.07533e39 −1.11789
\(302\) 2.00365e39 + 2.00365e39i 0.418515 + 0.418515i
\(303\) −3.52287e39 + 3.52287e39i −0.697934 + 0.697934i
\(304\) 4.55612e39i 0.856284i
\(305\) 8.93185e38 1.55000e39i 0.159274 0.276397i
\(306\) −1.99424e38 −0.0337470
\(307\) −2.91493e39 2.91493e39i −0.468182 0.468182i 0.433143 0.901325i \(-0.357404\pi\)
−0.901325 + 0.433143i \(0.857404\pi\)
\(308\) 2.09699e39 2.09699e39i 0.319730 0.319730i
\(309\) 7.36664e38i 0.106643i
\(310\) −3.24143e39 + 8.71410e38i −0.445605 + 0.119794i
\(311\) −1.21125e40 −1.58150 −0.790749 0.612140i \(-0.790309\pi\)
−0.790749 + 0.612140i \(0.790309\pi\)
\(312\) 1.35707e40 + 1.35707e40i 1.68317 + 1.68317i
\(313\) −2.91575e39 + 2.91575e39i −0.343590 + 0.343590i −0.857715 0.514125i \(-0.828117\pi\)
0.514125 + 0.857715i \(0.328117\pi\)
\(314\) 6.02819e39i 0.675013i
\(315\) 4.08487e39 + 1.51947e40i 0.434720 + 1.61705i
\(316\) 2.22655e39 0.225237
\(317\) −1.73245e39 1.73245e39i −0.166614 0.166614i 0.618875 0.785489i \(-0.287589\pi\)
−0.785489 + 0.618875i \(0.787589\pi\)
\(318\) −1.68915e39 + 1.68915e39i −0.154466 + 0.154466i
\(319\) 1.74748e36i 0.000151971i
\(320\) 1.15625e40 + 6.66288e39i 0.956426 + 0.551140i
\(321\) 2.80336e40 2.20596
\(322\) −1.33565e40 1.33565e40i −0.999999 0.999999i
\(323\) −3.72654e38 + 3.72654e38i −0.0265501 + 0.0265501i
\(324\) 1.91013e39i 0.129522i
\(325\) −2.12853e40 5.66572e39i −1.37387 0.365697i
\(326\) 2.22604e40 1.36789
\(327\) −1.17320e40 1.17320e40i −0.686448 0.686448i
\(328\) −1.84272e40 + 1.84272e40i −1.02678 + 1.02678i
\(329\) 1.75264e40i 0.930159i
\(330\) 1.77947e40 3.08803e40i 0.899639 1.56120i
\(331\) −3.29585e40 −1.58752 −0.793761 0.608230i \(-0.791880\pi\)
−0.793761 + 0.608230i \(0.791880\pi\)
\(332\) −3.25334e39 3.25334e39i −0.149321 0.149321i
\(333\) −1.07370e40 + 1.07370e40i −0.469652 + 0.469652i
\(334\) 1.38231e40i 0.576318i
\(335\) 3.98853e40 1.07226e40i 1.58524 0.426169i
\(336\) 3.22985e40 1.22392
\(337\) −2.99278e40 2.99278e40i −1.08143 1.08143i −0.996377 0.0850487i \(-0.972895\pi\)
−0.0850487 0.996377i \(-0.527105\pi\)
\(338\) −1.78776e40 + 1.78776e40i −0.616088 + 0.616088i
\(339\) 1.28561e40i 0.422585i
\(340\) 6.45959e37 + 2.40281e38i 0.00202555 + 0.00753454i
\(341\) −2.47504e40 −0.740478
\(342\) −3.81887e40 3.81887e40i −1.09023 1.09023i
\(343\) 1.66083e40 1.66083e40i 0.452501 0.452501i
\(344\) 3.84452e40i 0.999785i
\(345\) 7.35458e40 + 4.23807e40i 1.82580 + 1.05211i
\(346\) 3.59863e40 0.852942
\(347\) 4.29749e40 + 4.29749e40i 0.972619 + 0.972619i 0.999635 0.0270159i \(-0.00860047\pi\)
−0.0270159 + 0.999635i \(0.508600\pi\)
\(348\) −1.52466e36 + 1.52466e36i −3.29539e−5 + 3.29539e-5i
\(349\) 2.89824e40i 0.598311i 0.954204 + 0.299156i \(0.0967049\pi\)
−0.954204 + 0.299156i \(0.903295\pi\)
\(350\) −4.54231e40 + 2.63252e40i −0.895752 + 0.519138i
\(351\) −4.42160e40 −0.833040
\(352\) 2.83708e40 + 2.83708e40i 0.510727 + 0.510727i
\(353\) 3.40782e39 3.40782e39i 0.0586248 0.0586248i −0.677187 0.735811i \(-0.736801\pi\)
0.735811 + 0.677187i \(0.236801\pi\)
\(354\) 6.25480e40i 1.02840i
\(355\) 1.07785e40 1.87046e40i 0.169397 0.293965i
\(356\) −2.88494e39 −0.0433447
\(357\) 2.64176e39 + 2.64176e39i 0.0379492 + 0.0379492i
\(358\) −6.56559e40 + 6.56559e40i −0.901873 + 0.901873i
\(359\) 5.42658e39i 0.0712877i 0.999365 + 0.0356439i \(0.0113482\pi\)
−0.999365 + 0.0356439i \(0.988652\pi\)
\(360\) −1.15099e41 + 3.09425e40i −1.44621 + 0.388791i
\(361\) −5.95244e40 −0.715451
\(362\) 2.34170e40 + 2.34170e40i 0.269274 + 0.269274i
\(363\) 8.66889e40 8.66889e40i 0.953800 0.953800i
\(364\) 4.45968e40i 0.469550i
\(365\) 3.10363e40 + 1.15447e41i 0.312740 + 1.16332i
\(366\) 4.35296e40 0.419844
\(367\) 1.06545e40 + 1.06545e40i 0.0983731 + 0.0983731i 0.754581 0.656207i \(-0.227840\pi\)
−0.656207 + 0.754581i \(0.727840\pi\)
\(368\) 7.14367e40 7.14367e40i 0.631475 0.631475i
\(369\) 2.18111e41i 1.84610i
\(370\) −4.38988e40 2.52966e40i −0.355815 0.205038i
\(371\) 2.59473e40 0.201424
\(372\) 2.15946e40 + 2.15946e40i 0.160568 + 0.160568i
\(373\) −7.61669e40 + 7.61669e40i −0.542531 + 0.542531i −0.924270 0.381739i \(-0.875325\pi\)
0.381739 + 0.924270i \(0.375325\pi\)
\(374\) 4.90665e39i 0.0334842i
\(375\) 1.66410e41 1.67237e41i 1.08812 1.09353i
\(376\) −1.32761e41 −0.831886
\(377\) −1.85819e37 1.85819e37i −0.000111591 0.000111591i
\(378\) −7.45213e40 + 7.45213e40i −0.428955 + 0.428955i
\(379\) 1.33071e40i 0.0734272i 0.999326 + 0.0367136i \(0.0116889\pi\)
−0.999326 + 0.0367136i \(0.988311\pi\)
\(380\) −3.36428e40 + 5.83824e40i −0.177973 + 0.308847i
\(381\) 8.57394e40 0.434891
\(382\) −9.03313e40 9.03313e40i −0.439364 0.439364i
\(383\) 1.44371e41 1.44371e41i 0.673443 0.673443i −0.285065 0.958508i \(-0.592015\pi\)
0.958508 + 0.285065i \(0.0920153\pi\)
\(384\) 1.42811e41i 0.638944i
\(385\) −3.73853e41 + 1.00505e41i −1.60446 + 0.431335i
\(386\) 2.20556e41 0.908075
\(387\) 2.27526e41 + 2.27526e41i 0.898785 + 0.898785i
\(388\) 5.51834e40 5.51834e40i 0.209171 0.209171i
\(389\) 2.16396e41i 0.787146i 0.919293 + 0.393573i \(0.128761\pi\)
−0.919293 + 0.393573i \(0.871239\pi\)
\(390\) −1.39146e41 5.17588e41i −0.485776 1.80697i
\(391\) 1.16859e40 0.0391592
\(392\) −1.12767e41 1.12767e41i −0.362747 0.362747i
\(393\) 3.81043e41 3.81043e41i 1.17678 1.17678i
\(394\) 2.71689e41i 0.805624i
\(395\) −2.51834e41 1.45119e41i −0.717068 0.413210i
\(396\) −1.88015e41 −0.514126
\(397\) −2.96206e40 2.96206e40i −0.0777938 0.0777938i 0.667139 0.744933i \(-0.267519\pi\)
−0.744933 + 0.667139i \(0.767519\pi\)
\(398\) −2.57457e41 + 2.57457e41i −0.649494 + 0.649494i
\(399\) 1.01177e42i 2.45197i
\(400\) −1.40799e41 2.42943e41i −0.327823 0.565646i
\(401\) 2.99873e41 0.670853 0.335427 0.942066i \(-0.391120\pi\)
0.335427 + 0.942066i \(0.391120\pi\)
\(402\) 7.10628e41 + 7.10628e41i 1.52765 + 1.52765i
\(403\) −2.63185e41 + 2.63185e41i −0.543726 + 0.543726i
\(404\) 8.76953e40i 0.174130i
\(405\) −1.24495e41 + 2.16044e41i −0.237615 + 0.412347i
\(406\) −6.26355e37 −0.000114922
\(407\) −2.64175e41 2.64175e41i −0.465996 0.465996i
\(408\) −2.00111e40 + 2.00111e40i −0.0339398 + 0.0339398i
\(409\) 3.93446e40i 0.0641670i 0.999485 + 0.0320835i \(0.0102143\pi\)
−0.999485 + 0.0320835i \(0.989786\pi\)
\(410\) 7.02815e41 1.88941e41i 1.10230 0.296336i
\(411\) −1.58995e42 −2.39837
\(412\) 9.16894e39 + 9.16894e39i 0.0133034 + 0.0133034i
\(413\) 4.80406e41 4.80406e41i 0.670513 0.670513i
\(414\) 1.19754e42i 1.60800i
\(415\) 1.55927e41 + 5.80009e41i 0.201442 + 0.749316i
\(416\) 6.03364e41 0.750043
\(417\) 1.24217e40 + 1.24217e40i 0.0148595 + 0.0148595i
\(418\) 9.39599e41 9.39599e41i 1.08174 1.08174i
\(419\) 7.00287e41i 0.775982i −0.921663 0.387991i \(-0.873169\pi\)
0.921663 0.387991i \(-0.126831\pi\)
\(420\) 4.13875e41 + 2.38495e41i 0.441449 + 0.254385i
\(421\) −9.56131e41 −0.981756 −0.490878 0.871228i \(-0.663324\pi\)
−0.490878 + 0.871228i \(0.663324\pi\)
\(422\) −8.28058e41 8.28058e41i −0.818580 0.818580i
\(423\) 7.85704e41 7.85704e41i 0.747848 0.747848i
\(424\) 1.96549e41i 0.180143i
\(425\) 8.35457e39 3.13870e40i 0.00737397 0.0277030i
\(426\) 5.25294e41 0.446528
\(427\) −3.34333e41 3.34333e41i −0.273737 0.273737i
\(428\) 3.48922e41 3.48922e41i 0.275187 0.275187i
\(429\) 3.95211e42i 3.00271i
\(430\) −5.36055e41 + 9.30249e41i −0.392387 + 0.680932i
\(431\) −1.48305e42 −1.04597 −0.522987 0.852341i \(-0.675182\pi\)
−0.522987 + 0.852341i \(0.675182\pi\)
\(432\) −3.98573e41 3.98573e41i −0.270875 0.270875i
\(433\) −1.27440e41 + 1.27440e41i −0.0834641 + 0.0834641i −0.747606 0.664142i \(-0.768797\pi\)
0.664142 + 0.747606i \(0.268797\pi\)
\(434\) 8.87138e41i 0.559958i
\(435\) 2.71819e38 7.30743e37i 0.000165368 4.44567e-5i
\(436\) −2.92046e41 −0.171265
\(437\) 2.23779e42 + 2.23779e42i 1.26508 + 1.26508i
\(438\) −2.05690e42 + 2.05690e42i −1.12106 + 1.12106i
\(439\) 2.12587e42i 1.11713i 0.829460 + 0.558566i \(0.188648\pi\)
−0.829460 + 0.558566i \(0.811352\pi\)
\(440\) −7.61314e41 2.83190e42i −0.385764 1.43495i
\(441\) 1.33475e42 0.652203
\(442\) −5.21752e40 5.21752e40i −0.0245871 0.0245871i
\(443\) −2.43354e42 + 2.43354e42i −1.10606 + 1.10606i −0.112396 + 0.993663i \(0.535853\pi\)
−0.993663 + 0.112396i \(0.964147\pi\)
\(444\) 4.60983e41i 0.202096i
\(445\) 3.26300e41 + 1.88030e41i 0.137993 + 0.0795183i
\(446\) 3.34733e42 1.36566
\(447\) −3.74652e41 3.74652e41i −0.147471 0.147471i
\(448\) 2.49402e42 2.49402e42i 0.947222 0.947222i
\(449\) 3.20066e42i 1.17300i −0.809950 0.586499i \(-0.800506\pi\)
0.809950 0.586499i \(-0.199494\pi\)
\(450\) 3.21646e42 + 8.56156e41i 1.13757 + 0.302798i
\(451\) 5.36644e42 1.83173
\(452\) −1.60014e41 1.60014e41i −0.0527162 0.0527162i
\(453\) −2.37977e42 + 2.37977e42i −0.756770 + 0.756770i
\(454\) 2.15201e42i 0.660617i
\(455\) −2.90666e42 + 5.04411e42i −0.861415 + 1.49487i
\(456\) −7.66405e42 −2.19291
\(457\) 1.65118e42 + 1.65118e42i 0.456180 + 0.456180i 0.897399 0.441219i \(-0.145454\pi\)
−0.441219 + 0.897399i \(0.645454\pi\)
\(458\) −3.24690e42 + 3.24690e42i −0.866206 + 0.866206i
\(459\) 6.52002e40i 0.0167976i
\(460\) 1.44289e42 3.87898e41i 0.359011 0.0965145i
\(461\) 2.76608e42 0.664738 0.332369 0.943150i \(-0.392152\pi\)
0.332369 + 0.943150i \(0.392152\pi\)
\(462\) −6.66085e42 6.66085e42i −1.54617 1.54617i
\(463\) −2.83244e42 + 2.83244e42i −0.635134 + 0.635134i −0.949351 0.314217i \(-0.898258\pi\)
0.314217 + 0.949351i \(0.398258\pi\)
\(464\) 3.35002e38i 7.25705e-5i
\(465\) −1.03499e42 3.84991e42i −0.216615 0.805755i
\(466\) 6.77209e42 1.36946
\(467\) −3.50143e42 3.50143e42i −0.684187 0.684187i 0.276754 0.960941i \(-0.410741\pi\)
−0.960941 + 0.276754i \(0.910741\pi\)
\(468\) −1.99927e42 + 1.99927e42i −0.377518 + 0.377518i
\(469\) 1.09161e43i 1.99206i
\(470\) 3.21238e42 + 1.85113e42i 0.566580 + 0.326491i
\(471\) 7.15978e42 1.22058
\(472\) 3.63903e42 + 3.63903e42i 0.599672 + 0.599672i
\(473\) −5.59808e42 + 5.59808e42i −0.891786 + 0.891786i
\(474\) 7.07242e42i 1.08922i
\(475\) 7.61031e42 4.41060e42i 1.13320 0.656749i
\(476\) 6.57617e40 0.00946808
\(477\) −1.16322e42 1.16322e42i −0.161944 0.161944i
\(478\) 2.56732e42 2.56732e42i 0.345647 0.345647i
\(479\) 2.15369e41i 0.0280424i −0.999902 0.0140212i \(-0.995537\pi\)
0.999902 0.0140212i \(-0.00446323\pi\)
\(480\) −3.22667e42 + 5.59944e42i −0.406345 + 0.705155i
\(481\) −5.61825e42 −0.684352
\(482\) 1.89602e42 + 1.89602e42i 0.223404 + 0.223404i
\(483\) 1.58638e43 1.58638e43i 1.80823 1.80823i
\(484\) 2.15796e42i 0.237967i
\(485\) −9.83815e42 + 2.64484e42i −1.04965 + 0.282183i
\(486\) −1.09096e43 −1.12624
\(487\) 5.13317e42 + 5.13317e42i 0.512770 + 0.512770i 0.915374 0.402604i \(-0.131895\pi\)
−0.402604 + 0.915374i \(0.631895\pi\)
\(488\) 2.53255e42 2.53255e42i 0.244816 0.244816i
\(489\) 2.64390e43i 2.47345i
\(490\) 1.15624e42 + 4.30094e42i 0.104692 + 0.389427i
\(491\) −1.66880e43 −1.46251 −0.731256 0.682103i \(-0.761066\pi\)
−0.731256 + 0.682103i \(0.761066\pi\)
\(492\) −4.68219e42 4.68219e42i −0.397198 0.397198i
\(493\) 2.74005e37 2.74005e37i 2.25013e−6 2.25013e-6i
\(494\) 1.99826e43i 1.58862i
\(495\) 2.12654e43 + 1.22542e43i 1.63678 + 0.943193i
\(496\) −4.74481e42 −0.353600
\(497\) −4.03457e42 4.03457e42i −0.291136 0.291136i
\(498\) −1.03339e43 + 1.03339e43i −0.722095 + 0.722095i
\(499\) 9.79318e41i 0.0662697i −0.999451 0.0331348i \(-0.989451\pi\)
0.999451 0.0331348i \(-0.0105491\pi\)
\(500\) −1.02911e40 4.15275e42i −0.000674439 0.272155i
\(501\) 1.64179e43 1.04211
\(502\) 6.72967e42 + 6.72967e42i 0.413747 + 0.413747i
\(503\) 9.12414e41 9.12414e41i 0.0543381 0.0543381i −0.679416 0.733754i \(-0.737767\pi\)
0.733754 + 0.679416i \(0.237767\pi\)
\(504\) 3.15010e43i 1.81734i
\(505\) 5.71567e42 9.91874e42i 0.319452 0.554363i
\(506\) −2.94645e43 −1.59548
\(507\) −2.12336e43 2.12336e43i −1.11403 1.11403i
\(508\) 1.06716e42 1.06716e42i 0.0542514 0.0542514i
\(509\) 7.86389e42i 0.387394i 0.981061 + 0.193697i \(0.0620479\pi\)
−0.981061 + 0.193697i \(0.937952\pi\)
\(510\) 7.63227e41 2.05182e41i 0.0364360 0.00979527i
\(511\) 3.15964e43 1.46185
\(512\) 1.66279e43 + 1.66279e43i 0.745621 + 0.745621i
\(513\) 1.24855e43 1.24855e43i 0.542661 0.542661i
\(514\) 1.60881e43i 0.677788i
\(515\) −4.39450e41 1.63465e42i −0.0179471 0.0667589i
\(516\) 9.76859e42 0.386756
\(517\) 1.93316e43 + 1.93316e43i 0.742024 + 0.742024i
\(518\) −9.46894e42 + 9.46894e42i −0.352391 + 0.352391i
\(519\) 4.27415e43i 1.54231i
\(520\) −3.82087e43 2.20177e43i −1.33693 0.770405i
\(521\) −2.00091e43 −0.678930 −0.339465 0.940619i \(-0.610246\pi\)
−0.339465 + 0.940619i \(0.610246\pi\)
\(522\) 2.80794e39 + 2.80794e39i 9.23973e−5 + 9.23973e-5i
\(523\) −2.61260e43 + 2.61260e43i −0.833771 + 0.833771i −0.988030 0.154260i \(-0.950701\pi\)
0.154260 + 0.988030i \(0.450701\pi\)
\(524\) 9.48537e42i 0.293598i
\(525\) −3.12669e43 5.39498e43i −0.938719 1.61972i
\(526\) 4.05638e43 1.18132
\(527\) −3.88088e41 3.88088e41i −0.0109638 0.0109638i
\(528\) 3.56252e43 3.56252e43i 0.976371 0.976371i
\(529\) 3.25650e43i 0.865886i
\(530\) 2.74056e42 4.75585e42i 0.0707009 0.122691i
\(531\) −4.30730e43 −1.07818
\(532\) 1.25930e43 + 1.25930e43i 0.305875 + 0.305875i
\(533\) 5.70643e43 5.70643e43i 1.34502 1.34502i
\(534\) 9.16370e42i 0.209609i
\(535\) −6.22062e43 + 1.67232e43i −1.38094 + 0.371243i
\(536\) 8.26884e43 1.78159
\(537\) −7.79807e43 7.79807e43i −1.63079 1.63079i
\(538\) 3.80362e43 3.80362e43i 0.772113 0.772113i
\(539\) 3.28404e43i 0.647125i
\(540\) −2.16424e42 8.05044e42i −0.0414004 0.153999i
\(541\) −8.85705e42 −0.164488 −0.0822438 0.996612i \(-0.526209\pi\)
−0.0822438 + 0.996612i \(0.526209\pi\)
\(542\) 3.87433e43 + 3.87433e43i 0.698568 + 0.698568i
\(543\) −2.78128e43 + 2.78128e43i −0.486908 + 0.486908i
\(544\) 8.89711e41i 0.0151240i
\(545\) 3.30318e43 + 1.90345e43i 0.545240 + 0.314194i
\(546\) −1.41657e44 −2.27068
\(547\) 5.56967e43 + 5.56967e43i 0.867026 + 0.867026i 0.992142 0.125116i \(-0.0399302\pi\)
−0.125116 + 0.992142i \(0.539930\pi\)
\(548\) −1.97895e43 + 1.97895e43i −0.299189 + 0.299189i
\(549\) 2.99762e43i 0.440169i
\(550\) −2.10650e43 + 7.91383e43i −0.300440 + 1.12871i
\(551\) 1.04941e40 0.000145385
\(552\) 1.20167e44 + 1.20167e44i 1.61718 + 1.61718i
\(553\) −5.43204e43 + 5.43204e43i −0.710167 + 0.710167i
\(554\) 9.38155e43i 1.19157i
\(555\) 3.00453e43 5.21394e43i 0.370756 0.643395i
\(556\) 3.09214e41 0.00370734
\(557\) 9.98545e42 + 9.98545e42i 0.116328 + 0.116328i 0.762875 0.646547i \(-0.223787\pi\)
−0.646547 + 0.762875i \(0.723787\pi\)
\(558\) 3.97702e43 3.97702e43i 0.450206 0.450206i
\(559\) 1.19055e44i 1.30966i
\(560\) −7.16700e43 + 1.92674e43i −0.766177 + 0.205975i
\(561\) 5.82772e42 0.0605470
\(562\) −7.24699e43 7.24699e43i −0.731773 0.731773i
\(563\) −3.53624e43 + 3.53624e43i −0.347062 + 0.347062i −0.859014 0.511952i \(-0.828923\pi\)
0.511952 + 0.859014i \(0.328923\pi\)
\(564\) 3.37334e43i 0.321806i
\(565\) 7.66920e42 + 2.85276e43i 0.0711172 + 0.264539i
\(566\) 1.43298e44 1.29175
\(567\) 4.66006e43 + 4.66006e43i 0.408379 + 0.408379i
\(568\) 3.05615e43 3.05615e43i 0.260377 0.260377i
\(569\) 2.03561e44i 1.68616i −0.537787 0.843080i \(-0.680740\pi\)
0.537787 0.843080i \(-0.319260\pi\)
\(570\) 1.85445e44 + 1.06863e44i 1.49355 + 0.860655i
\(571\) −9.39789e43 −0.735957 −0.367979 0.929834i \(-0.619950\pi\)
−0.367979 + 0.929834i \(0.619950\pi\)
\(572\) −4.91903e43 4.91903e43i −0.374578 0.374578i
\(573\) 1.07288e44 1.07288e44i 0.794470 0.794470i
\(574\) 1.92351e44i 1.38518i
\(575\) −1.88479e44 5.01693e43i −1.32001 0.351360i
\(576\) −2.23613e44 −1.52313
\(577\) −1.19785e44 1.19785e44i −0.793578 0.793578i 0.188496 0.982074i \(-0.439639\pi\)
−0.982074 + 0.188496i \(0.939639\pi\)
\(578\) −9.35390e43 + 9.35390e43i −0.602764 + 0.602764i
\(579\) 2.61958e44i 1.64201i
\(580\) 2.47369e39 4.29274e39i 1.50833e−5 2.61750e-5i
\(581\) 1.58741e44 0.941609
\(582\) −1.75284e44 1.75284e44i −1.01152 1.01152i
\(583\) 2.86199e43 2.86199e43i 0.160683 0.160683i
\(584\) 2.39340e44i 1.30741i
\(585\) 3.56432e44 9.58213e43i 1.89445 0.509293i
\(586\) −1.87095e44 −0.967610
\(587\) 1.61244e44 + 1.61244e44i 0.811471 + 0.811471i 0.984854 0.173384i \(-0.0554700\pi\)
−0.173384 + 0.984854i \(0.555470\pi\)
\(588\) 2.86531e43 2.86531e43i 0.140325 0.140325i
\(589\) 1.48634e44i 0.708390i
\(590\) −3.73124e43 1.38793e44i −0.173070 0.643778i
\(591\) 3.22690e44 1.45675
\(592\) −5.06441e43 5.06441e43i −0.222527 0.222527i
\(593\) 9.91752e43 9.91752e43i 0.424158 0.424158i −0.462474 0.886633i \(-0.653038\pi\)
0.886633 + 0.462474i \(0.153038\pi\)
\(594\) 1.64394e44i 0.684388i
\(595\) −7.43796e42 4.28612e42i −0.0301427 0.0173697i
\(596\) −9.32626e42 −0.0367932
\(597\) −3.05786e44 3.05786e44i −1.17443 1.17443i
\(598\) −3.13312e44 + 3.13312e44i −1.17154 + 1.17154i
\(599\) 1.31082e44i 0.477216i −0.971116 0.238608i \(-0.923309\pi\)
0.971116 0.238608i \(-0.0766911\pi\)
\(600\) 4.08665e44 2.36844e44i 1.44860 0.839542i
\(601\) 3.67921e44 1.26988 0.634940 0.772561i \(-0.281025\pi\)
0.634940 + 0.772561i \(0.281025\pi\)
\(602\) 2.00654e44 + 2.00654e44i 0.674379 + 0.674379i
\(603\) −4.89366e44 + 4.89366e44i −1.60161 + 1.60161i
\(604\) 5.92400e43i 0.188809i
\(605\) −1.40648e44 + 2.44075e44i −0.436564 + 0.757596i
\(606\) 2.78555e44 0.842071
\(607\) −3.15598e44 3.15598e44i −0.929213 0.929213i 0.0684420 0.997655i \(-0.478197\pi\)
−0.997655 + 0.0684420i \(0.978197\pi\)
\(608\) −1.70375e44 + 1.70375e44i −0.488595 + 0.488595i
\(609\) 7.43932e40i 0.000207805i
\(610\) −9.65917e43 + 2.59672e43i −0.262823 + 0.0706558i
\(611\) 4.11126e44 1.08972
\(612\) −2.94809e42 2.94809e42i −0.00761233 0.00761233i
\(613\) −7.90423e43 + 7.90423e43i −0.198835 + 0.198835i −0.799500 0.600666i \(-0.794902\pi\)
0.600666 + 0.799500i \(0.294902\pi\)
\(614\) 2.30485e44i 0.564870i
\(615\) 2.24409e44 + 8.34746e44i 0.535843 + 1.99321i
\(616\) −7.75055e44 −1.80319
\(617\) −3.84469e44 3.84469e44i −0.871563 0.871563i 0.121080 0.992643i \(-0.461364\pi\)
−0.992643 + 0.121080i \(0.961364\pi\)
\(618\) 2.91242e43 2.91242e43i 0.0643336 0.0643336i
\(619\) 7.77858e44i 1.67436i −0.546924 0.837182i \(-0.684201\pi\)
0.546924 0.837182i \(-0.315799\pi\)
\(620\) −6.08002e43 3.50361e43i −0.127538 0.0734934i
\(621\) −3.91528e44 −0.800381
\(622\) 4.78872e44 + 4.78872e44i 0.954054 + 0.954054i
\(623\) 7.03827e43 7.03827e43i 0.136665 0.136665i
\(624\) 7.57646e44i 1.43388i
\(625\) −2.69498e44 + 4.70366e44i −0.497136 + 0.867673i
\(626\) 2.30550e44 0.414548
\(627\) 1.11598e45 + 1.11598e45i 1.95603 + 1.95603i
\(628\) 8.91148e43 8.91148e43i 0.152263 0.152263i
\(629\) 8.28457e42i 0.0137994i
\(630\) 4.39231e44 7.62223e44i 0.713253 1.23775i
\(631\) −1.02238e44 −0.161861 −0.0809306 0.996720i \(-0.525789\pi\)
−0.0809306 + 0.996720i \(0.525789\pi\)
\(632\) −4.11472e44 4.11472e44i −0.635137 0.635137i
\(633\) 9.83499e44 9.83499e44i 1.48018 1.48018i
\(634\) 1.36986e44i 0.201024i
\(635\) −1.90255e44 + 5.11471e43i −0.272242 + 0.0731882i
\(636\) −4.99414e43 −0.0696863
\(637\) 3.49210e44 + 3.49210e44i 0.475178 + 0.475178i
\(638\) −6.90868e40 + 6.90868e40i −9.16779e−5 + 9.16779e-5i
\(639\) 3.61738e44i 0.468146i
\(640\) −8.51928e43 3.16897e44i −0.107528 0.399980i
\(641\) −3.10298e44 −0.381989 −0.190995 0.981591i \(-0.561171\pi\)
−0.190995 + 0.981591i \(0.561171\pi\)
\(642\) −1.10831e45 1.10831e45i −1.33077 1.33077i
\(643\) −8.25926e43 + 8.25926e43i −0.0967310 + 0.0967310i −0.753816 0.657085i \(-0.771789\pi\)
0.657085 + 0.753816i \(0.271789\pi\)
\(644\) 3.94900e44i 0.451142i
\(645\) −1.10487e45 6.36683e44i −1.23128 0.709525i
\(646\) 2.94660e43 0.0320332
\(647\) 5.97296e44 + 5.97296e44i 0.633463 + 0.633463i 0.948935 0.315472i \(-0.102163\pi\)
−0.315472 + 0.948935i \(0.602163\pi\)
\(648\) −3.52996e44 + 3.52996e44i −0.365233 + 0.365233i
\(649\) 1.05977e45i 1.06979i
\(650\) 6.17526e44 + 1.06552e45i 0.608193 + 1.04941i
\(651\) −1.05367e45 −1.01253
\(652\) 3.29075e44 + 3.29075e44i 0.308556 + 0.308556i
\(653\) −3.68464e44 + 3.68464e44i −0.337120 + 0.337120i −0.855282 0.518163i \(-0.826616\pi\)
0.518163 + 0.855282i \(0.326616\pi\)
\(654\) 9.27653e44i 0.828212i
\(655\) −6.18223e44 + 1.07284e45i −0.538622 + 0.934703i
\(656\) 1.02878e45 0.874704
\(657\) −1.41646e45 1.41646e45i −1.17533 1.17533i
\(658\) 6.92909e44 6.92909e44i 0.561128 0.561128i
\(659\) 1.44815e45i 1.14458i −0.820050 0.572291i \(-0.806055\pi\)
0.820050 0.572291i \(-0.193945\pi\)
\(660\) 7.19563e44 1.93444e44i 0.555093 0.149228i
\(661\) 1.61686e45 1.21744 0.608722 0.793384i \(-0.291683\pi\)
0.608722 + 0.793384i \(0.291683\pi\)
\(662\) 1.30302e45 + 1.30302e45i 0.957688 + 0.957688i
\(663\) 6.19694e43 6.19694e43i 0.0444591 0.0444591i
\(664\) 1.20245e45i 0.842126i
\(665\) −6.03561e44 2.24510e45i −0.412643 1.53493i
\(666\) 8.48982e44 0.566645
\(667\) −1.64540e41 1.64540e41i −0.000107216 0.000107216i
\(668\) 2.04347e44 2.04347e44i 0.130000 0.130000i
\(669\) 3.97569e45i 2.46942i
\(670\) −2.00079e45 1.15296e45i −1.21340 0.699223i
\(671\) −7.37539e44 −0.436742
\(672\) 1.20780e45 + 1.20780e45i 0.698369 + 0.698369i
\(673\) −2.46534e44 + 2.46534e44i −0.139199 + 0.139199i −0.773273 0.634074i \(-0.781382\pi\)
0.634074 + 0.773273i \(0.281382\pi\)
\(674\) 2.36641e45i 1.30476i
\(675\) −2.79914e44 + 1.05160e45i −0.150718 + 0.566226i
\(676\) −5.28570e44 −0.277943
\(677\) 2.18968e44 + 2.18968e44i 0.112451 + 0.112451i 0.761093 0.648643i \(-0.224663\pi\)
−0.648643 + 0.761093i \(0.724663\pi\)
\(678\) −5.08269e44 + 5.08269e44i −0.254929 + 0.254929i
\(679\) 2.69257e45i 1.31902i
\(680\) 3.24670e43 5.63419e43i 0.0155346 0.0269581i
\(681\) −2.55598e45 −1.19455
\(682\) 9.78512e44 + 9.78512e44i 0.446700 + 0.446700i
\(683\) 1.73095e45 1.73095e45i 0.771886 0.771886i −0.206550 0.978436i \(-0.566223\pi\)
0.978436 + 0.206550i \(0.0662235\pi\)
\(684\) 1.12909e45i 0.491847i
\(685\) 3.52809e45 9.48474e44i 1.50138 0.403623i
\(686\) −1.31323e45 −0.545951
\(687\) −3.85640e45 3.85640e45i −1.56630 1.56630i
\(688\) −1.07319e45 + 1.07319e45i −0.425854 + 0.425854i
\(689\) 6.08662e44i 0.235977i
\(690\) −1.23212e45 4.58318e45i −0.466731 1.73613i
\(691\) 1.12336e45 0.415785 0.207892 0.978152i \(-0.433340\pi\)
0.207892 + 0.978152i \(0.433340\pi\)
\(692\) 5.31986e44 + 5.31986e44i 0.192399 + 0.192399i
\(693\) 4.58693e45 4.58693e45i 1.62103 1.62103i
\(694\) 3.39804e45i 1.17348i
\(695\) −3.49736e43 2.01535e43i −0.0118027 0.00680132i
\(696\) 5.63522e41 0.000185850
\(697\) 8.41460e43 + 8.41460e43i 0.0271212 + 0.0271212i
\(698\) 1.14582e45 1.14582e45i 0.360937 0.360937i
\(699\) 8.04333e45i 2.47629i
\(700\) −1.06066e45 2.82324e44i −0.319158 0.0849532i
\(701\) −3.92745e45 −1.15511 −0.577554 0.816352i \(-0.695993\pi\)
−0.577554 + 0.816352i \(0.695993\pi\)
\(702\) 1.74809e45 + 1.74809e45i 0.502540 + 0.502540i
\(703\) 1.58645e45 1.58645e45i 0.445802 0.445802i
\(704\) 5.50181e45i 1.51127i
\(705\) −2.19862e45 + 3.81540e45i −0.590371 + 1.02451i
\(706\) −2.69458e44 −0.0707319
\(707\) −2.13947e45 2.13947e45i −0.549028 0.549028i
\(708\) −9.24648e44 + 9.24648e44i −0.231977 + 0.231977i
\(709\) 7.48151e45i 1.83506i −0.397671 0.917528i \(-0.630181\pi\)
0.397671 0.917528i \(-0.369819\pi\)
\(710\) −1.16562e45 + 3.13360e44i −0.279527 + 0.0751466i
\(711\) 4.87035e45 1.14195
\(712\) 5.33143e44 + 5.33143e44i 0.122226 + 0.122226i
\(713\) −2.33047e45 + 2.33047e45i −0.522409 + 0.522409i
\(714\) 2.08885e44i 0.0457864i
\(715\) 2.35760e45 + 8.76970e45i 0.505328 + 1.87970i
\(716\) −1.94119e45 −0.406873
\(717\) 3.04925e45 + 3.04925e45i 0.625009 + 0.625009i
\(718\) 2.14541e44 2.14541e44i 0.0430050 0.0430050i
\(719\) 1.61834e45i 0.317254i 0.987339 + 0.158627i \(0.0507067\pi\)
−0.987339 + 0.158627i \(0.949293\pi\)
\(720\) 4.07671e45 + 2.34920e45i 0.781610 + 0.450402i
\(721\) −4.47382e44 −0.0838908
\(722\) 2.35331e45 + 2.35331e45i 0.431603 + 0.431603i
\(723\) −2.25194e45 + 2.25194e45i −0.403965 + 0.403965i
\(724\) 6.92348e44i 0.121481i
\(725\) −5.59571e41 + 3.24302e41i −9.60389e−5 + 5.56598e-5i
\(726\) −6.85453e45 −1.15078
\(727\) 3.84402e45 + 3.84402e45i 0.631299 + 0.631299i 0.948394 0.317095i \(-0.102707\pi\)
−0.317095 + 0.948394i \(0.602707\pi\)
\(728\) −8.24159e45 + 8.24159e45i −1.32406 + 1.32406i
\(729\) 9.92952e45i 1.56059i
\(730\) 3.33721e45 5.79127e45i 0.513119 0.890446i
\(731\) −1.75556e44 −0.0264082
\(732\) 6.43499e44 + 6.43499e44i 0.0947045 + 0.0947045i
\(733\) 8.30891e45 8.30891e45i 1.19641 1.19641i 0.221178 0.975233i \(-0.429010\pi\)
0.975233 0.221178i \(-0.0709903\pi\)
\(734\) 8.42456e44i 0.118689i
\(735\) −5.10830e45 + 1.37329e45i −0.704173 + 0.189306i
\(736\) 5.34272e45 0.720638
\(737\) −1.20404e46 1.20404e46i −1.58914 1.58914i
\(738\) −8.62307e45 + 8.62307e45i −1.11368 + 1.11368i
\(739\) 1.31493e46i 1.66185i 0.556384 + 0.830925i \(0.312188\pi\)
−0.556384 + 0.830925i \(0.687812\pi\)
\(740\) −2.74996e44 1.02292e45i −0.0340109 0.126512i
\(741\) 2.37336e46 2.87259
\(742\) −1.02583e45 1.02583e45i −0.121511 0.121511i
\(743\) −2.01767e45 + 2.01767e45i −0.233899 + 0.233899i −0.814318 0.580419i \(-0.802889\pi\)
0.580419 + 0.814318i \(0.302889\pi\)
\(744\) 7.98146e45i 0.905556i
\(745\) 1.05484e45 + 6.07853e44i 0.117135 + 0.0674991i
\(746\) 6.02255e45 0.654574
\(747\) −7.11633e45 7.11633e45i −0.757053 0.757053i
\(748\) 7.25351e43 7.25351e43i 0.00755306 0.00755306i
\(749\) 1.70250e46i 1.73532i
\(750\) −1.31908e46 + 3.26887e43i −1.31610 + 0.00326150i
\(751\) −1.37535e46 −1.34330 −0.671651 0.740867i \(-0.734415\pi\)
−0.671651 + 0.740867i \(0.734415\pi\)
\(752\) 3.70599e45 + 3.70599e45i 0.354338 + 0.354338i
\(753\) −7.99295e45 + 7.99295e45i