Properties

Label 21.33.h.b.2.3
Level $21$
Weight $33$
Character 21.2
Analytic conductor $136.220$
Analytic rank $0$
Dimension $164$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 33 \)
Character orbit: \([\chi]\) \(=\) 21.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(136.219975799\)
Analytic rank: \(0\)
Dimension: \(164\)
Relative dimension: \(82\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 2.3
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-107705. - 62183.5i) q^{2} +(-3.45696e7 + 2.56508e7i) q^{3} +(5.58609e9 + 9.67539e9i) q^{4} +(4.70485e10 + 2.71635e10i) q^{5} +(5.31837e12 - 6.13057e11i) q^{6} +(-5.64089e12 - 3.27507e13i) q^{7} -8.55298e14i q^{8} +(5.37095e14 - 1.77347e15i) q^{9} +O(q^{10})\) \(q+(-107705. - 62183.5i) q^{2} +(-3.45696e7 + 2.56508e7i) q^{3} +(5.58609e9 + 9.67539e9i) q^{4} +(4.70485e10 + 2.71635e10i) q^{5} +(5.31837e12 - 6.13057e11i) q^{6} +(-5.64089e12 - 3.27507e13i) q^{7} -8.55298e14i q^{8} +(5.37095e14 - 1.77347e15i) q^{9} +(-3.37824e15 - 5.85128e15i) q^{10} +(7.71847e16 - 4.45626e16i) q^{11} +(-4.41290e17 - 1.91187e17i) q^{12} -7.94366e17 q^{13} +(-1.42900e18 + 3.87818e18i) q^{14} +(-2.32321e18 + 2.67800e17i) q^{15} +(-2.91933e19 + 5.05643e19i) q^{16} +(2.93864e19 - 1.69662e19i) q^{17} +(-1.68129e20 + 1.57614e20i) q^{18} +(-8.82807e19 + 1.52907e20i) q^{19} +6.06950e20i q^{20} +(1.03508e21 + 9.87485e20i) q^{21} -1.10842e22 q^{22} +(-3.84855e21 - 2.22196e21i) q^{23} +(2.19391e22 + 2.95673e22i) q^{24} +(-1.01658e22 - 1.76077e22i) q^{25} +(8.55572e22 + 4.93964e22i) q^{26} +(2.69238e22 + 7.50852e22i) q^{27} +(2.85365e23 - 2.37526e23i) q^{28} +1.60786e23i q^{29} +(2.66874e23 + 1.15622e23i) q^{30} +(-1.34324e23 - 2.32656e23i) q^{31} +(3.10721e24 - 1.79395e24i) q^{32} +(-1.52518e24 + 3.52036e24i) q^{33} -4.22008e24 q^{34} +(6.24227e23 - 1.69410e24i) q^{35} +(2.01593e25 - 4.71018e24i) q^{36} +(-7.18410e24 + 1.24432e25i) q^{37} +(1.90165e25 - 1.09792e25i) q^{38} +(2.74609e25 - 2.03761e25i) q^{39} +(2.32329e25 - 4.02405e25i) q^{40} -9.83994e25i q^{41} +(-5.00784e25 - 1.70722e26i) q^{42} -9.19202e25 q^{43} +(8.62321e26 + 4.97861e26i) q^{44} +(7.34433e25 - 6.88500e25i) q^{45} +(2.76339e26 + 4.78633e26i) q^{46} +(1.47399e26 + 8.51009e25i) q^{47} +(-2.87813e26 - 2.49682e27i) q^{48} +(-1.04079e27 + 3.69486e26i) q^{49} +2.52859e27i q^{50} +(-5.80679e26 + 1.34030e27i) q^{51} +(-4.43740e27 - 7.68580e27i) q^{52} +(-3.89149e27 + 2.24675e27i) q^{53} +(1.76923e27 - 9.76127e27i) q^{54} +4.84190e27 q^{55} +(-2.80116e28 + 4.82464e27i) q^{56} +(-8.70345e26 - 7.55039e27i) q^{57} +(9.99823e27 - 1.73174e28i) q^{58} +(2.66321e26 - 1.53760e26i) q^{59} +(-1.55687e28 - 2.09820e28i) q^{60} +(-2.79704e28 + 4.84461e28i) q^{61} +3.34110e28i q^{62} +(-6.11122e28 - 7.58627e27i) q^{63} -1.95447e29 q^{64} +(-3.73737e28 - 2.15777e28i) q^{65} +(3.83178e29 - 2.84319e29i) q^{66} +(1.99426e28 + 3.45416e28i) q^{67} +(3.28310e29 + 1.89550e29i) q^{68} +(1.90038e29 - 2.19060e28i) q^{69} +(-1.72577e29 + 1.43646e29i) q^{70} +6.55544e29i q^{71} +(-1.51685e30 - 4.59377e29i) q^{72} +(-3.41466e29 - 5.91437e29i) q^{73} +(1.54753e30 - 8.93465e29i) q^{74} +(8.03080e29 + 3.47931e29i) q^{75} -1.97257e30 q^{76} +(-1.89485e30 - 2.27648e30i) q^{77} +(-4.22473e30 + 4.86992e29i) q^{78} +(-4.19471e28 + 7.26545e28i) q^{79} +(-2.74701e30 + 1.58598e30i) q^{80} +(-2.85674e30 - 1.90505e30i) q^{81} +(-6.11882e30 + 1.05981e31i) q^{82} -7.23079e30i q^{83} +(-3.77224e30 + 1.55310e31i) q^{84} +1.84345e30 q^{85} +(9.90026e30 + 5.71592e30i) q^{86} +(-4.12428e30 - 5.55831e30i) q^{87} +(-3.81143e31 - 6.60159e31i) q^{88} +(-1.20601e31 - 6.96290e30i) q^{89} +(-1.21915e31 + 2.84853e30i) q^{90} +(4.48093e30 + 2.60160e31i) q^{91} -4.96483e31i q^{92} +(1.06114e31 + 4.59732e30i) q^{93} +(-1.05837e31 - 1.83316e31i) q^{94} +(-8.30695e30 + 4.79602e30i) q^{95} +(-6.13989e31 + 1.41719e32i) q^{96} +6.65600e31 q^{97} +(1.35074e32 + 2.49244e31i) q^{98} +(-3.75751e31 - 1.60819e32i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} + O(q^{10}) \) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} - 653609167486978q^{10} - 80283770812252892q^{12} + 930128021838524592q^{13} + 295985739739384604q^{15} - \)\(35\!\cdots\!98\)\(q^{16} - \)\(28\!\cdots\!84\)\(q^{18} - \)\(55\!\cdots\!32\)\(q^{19} - \)\(63\!\cdots\!60\)\(q^{21} - \)\(13\!\cdots\!96\)\(q^{22} + \)\(10\!\cdots\!46\)\(q^{24} + \)\(37\!\cdots\!44\)\(q^{25} - \)\(46\!\cdots\!76\)\(q^{27} + \)\(47\!\cdots\!58\)\(q^{28} - \)\(33\!\cdots\!80\)\(q^{30} + \)\(52\!\cdots\!26\)\(q^{31} - \)\(73\!\cdots\!26\)\(q^{33} - \)\(22\!\cdots\!96\)\(q^{34} - \)\(58\!\cdots\!40\)\(q^{36} - \)\(47\!\cdots\!40\)\(q^{37} + \)\(80\!\cdots\!20\)\(q^{39} - \)\(45\!\cdots\!26\)\(q^{40} + \)\(10\!\cdots\!78\)\(q^{42} - \)\(82\!\cdots\!28\)\(q^{43} + \)\(88\!\cdots\!80\)\(q^{45} + \)\(30\!\cdots\!92\)\(q^{46} - \)\(10\!\cdots\!00\)\(q^{48} + \)\(42\!\cdots\!90\)\(q^{49} + \)\(89\!\cdots\!16\)\(q^{51} + \)\(39\!\cdots\!84\)\(q^{52} + \)\(16\!\cdots\!78\)\(q^{54} + \)\(55\!\cdots\!00\)\(q^{55} - \)\(88\!\cdots\!80\)\(q^{57} + \)\(63\!\cdots\!34\)\(q^{58} + \)\(69\!\cdots\!10\)\(q^{60} - \)\(49\!\cdots\!48\)\(q^{61} + \)\(38\!\cdots\!20\)\(q^{63} - \)\(17\!\cdots\!24\)\(q^{64} + \)\(20\!\cdots\!84\)\(q^{66} + \)\(41\!\cdots\!36\)\(q^{67} - \)\(54\!\cdots\!68\)\(q^{69} - \)\(18\!\cdots\!50\)\(q^{70} + \)\(88\!\cdots\!12\)\(q^{72} + \)\(14\!\cdots\!40\)\(q^{73} - \)\(13\!\cdots\!24\)\(q^{75} - \)\(13\!\cdots\!12\)\(q^{76} - \)\(15\!\cdots\!20\)\(q^{78} + \)\(11\!\cdots\!98\)\(q^{79} + \)\(41\!\cdots\!98\)\(q^{81} - \)\(17\!\cdots\!72\)\(q^{82} + \)\(23\!\cdots\!36\)\(q^{84} - \)\(11\!\cdots\!64\)\(q^{85} + \)\(25\!\cdots\!98\)\(q^{87} - \)\(10\!\cdots\!90\)\(q^{88} - \)\(13\!\cdots\!64\)\(q^{90} + \)\(33\!\cdots\!84\)\(q^{91} - \)\(88\!\cdots\!00\)\(q^{93} - \)\(96\!\cdots\!24\)\(q^{94} + \)\(14\!\cdots\!10\)\(q^{96} - \)\(26\!\cdots\!24\)\(q^{97} - \)\(24\!\cdots\!32\)\(q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −107705. 62183.5i −1.64345 0.948845i −0.979595 0.200981i \(-0.935587\pi\)
−0.663852 0.747864i \(-0.731080\pi\)
\(3\) −3.45696e7 + 2.56508e7i −0.803072 + 0.595882i
\(4\) 5.58609e9 + 9.67539e9i 1.30061 + 2.25273i
\(5\) 4.70485e10 + 2.71635e10i 0.308337 + 0.178019i 0.646182 0.763183i \(-0.276365\pi\)
−0.337845 + 0.941202i \(0.609698\pi\)
\(6\) 5.31837e12 6.13057e11i 1.88521 0.217311i
\(7\) −5.64089e12 3.27507e13i −0.169738 0.985489i
\(8\) 8.55298e14i 3.03863i
\(9\) 5.37095e14 1.77347e15i 0.289849 0.957073i
\(10\) −3.37824e15 5.85128e15i −0.337824 0.585128i
\(11\) 7.71847e16 4.45626e16i 1.67976 0.969812i 0.717955 0.696089i \(-0.245078\pi\)
0.961809 0.273723i \(-0.0882551\pi\)
\(12\) −4.41290e17 1.91187e17i −2.38685 1.03409i
\(13\) −7.94366e17 −1.19379 −0.596894 0.802320i \(-0.703599\pi\)
−0.596894 + 0.802320i \(0.703599\pi\)
\(14\) −1.42900e18 + 3.87818e18i −0.656121 + 1.78065i
\(15\) −2.32321e18 + 2.67800e17i −0.353695 + 0.0407710i
\(16\) −2.91933e19 + 5.05643e19i −1.58257 + 2.74110i
\(17\) 2.93864e19 1.69662e19i 0.603898 0.348661i −0.166675 0.986012i \(-0.553303\pi\)
0.770574 + 0.637351i \(0.219970\pi\)
\(18\) −1.68129e20 + 1.57614e20i −1.38446 + 1.29788i
\(19\) −8.82807e19 + 1.52907e20i −0.306061 + 0.530113i −0.977497 0.210949i \(-0.932344\pi\)
0.671436 + 0.741063i \(0.265678\pi\)
\(20\) 6.06950e20i 0.926133i
\(21\) 1.03508e21 + 9.87485e20i 0.723547 + 0.690275i
\(22\) −1.10842e22 −3.68080
\(23\) −3.84855e21 2.22196e21i −0.627555 0.362319i 0.152250 0.988342i \(-0.451348\pi\)
−0.779805 + 0.626023i \(0.784682\pi\)
\(24\) 2.19391e22 + 2.95673e22i 1.81067 + 2.44024i
\(25\) −1.01658e22 1.76077e22i −0.436619 0.756246i
\(26\) 8.55572e22 + 4.93964e22i 1.96193 + 1.13272i
\(27\) 2.69238e22 + 7.50852e22i 0.337533 + 0.941314i
\(28\) 2.85365e23 2.37526e23i 1.99928 1.66411i
\(29\) 1.60786e23i 0.642510i 0.946993 + 0.321255i \(0.104105\pi\)
−0.946993 + 0.321255i \(0.895895\pi\)
\(30\) 2.66874e23 + 1.15622e23i 0.619964 + 0.268597i
\(31\) −1.34324e23 2.32656e23i −0.184658 0.319836i 0.758803 0.651320i \(-0.225784\pi\)
−0.943461 + 0.331483i \(0.892451\pi\)
\(32\) 3.10721e24 1.79395e24i 2.57022 1.48392i
\(33\) −1.52518e24 + 3.52036e24i −0.771077 + 1.77977i
\(34\) −4.22008e24 −1.32330
\(35\) 6.24227e23 1.69410e24i 0.123099 0.334079i
\(36\) 2.01593e25 4.71018e24i 2.53300 0.591831i
\(37\) −7.18410e24 + 1.24432e25i −0.582297 + 1.00857i 0.412909 + 0.910772i \(0.364513\pi\)
−0.995206 + 0.0977961i \(0.968821\pi\)
\(38\) 1.90165e25 1.09792e25i 1.00599 0.580809i
\(39\) 2.74609e25 2.03761e25i 0.958697 0.711357i
\(40\) 2.32329e25 4.02405e25i 0.540932 0.936922i
\(41\) 9.83994e25i 1.54330i −0.636047 0.771651i \(-0.719431\pi\)
0.636047 0.771651i \(-0.280569\pi\)
\(42\) −5.00784e25 1.70722e26i −0.534148 1.82096i
\(43\) −9.19202e25 −0.672846 −0.336423 0.941711i \(-0.609217\pi\)
−0.336423 + 0.941711i \(0.609217\pi\)
\(44\) 8.62321e26 + 4.97861e26i 4.36944 + 2.52270i
\(45\) 7.34433e25 6.88500e25i 0.259748 0.243503i
\(46\) 2.76339e26 + 4.78633e26i 0.687569 + 1.19090i
\(47\) 1.47399e26 + 8.51009e25i 0.259974 + 0.150096i 0.624323 0.781167i \(-0.285375\pi\)
−0.364349 + 0.931263i \(0.618708\pi\)
\(48\) −2.87813e26 2.49682e27i −0.362452 3.14433i
\(49\) −1.04079e27 + 3.69486e26i −0.942378 + 0.334550i
\(50\) 2.52859e27i 1.65713i
\(51\) −5.80679e26 + 1.34030e27i −0.277213 + 0.639852i
\(52\) −4.43740e27 7.68580e27i −1.55266 2.68928i
\(53\) −3.89149e27 + 2.24675e27i −1.00393 + 0.579618i −0.909408 0.415905i \(-0.863465\pi\)
−0.0945192 + 0.995523i \(0.530131\pi\)
\(54\) 1.76923e27 9.76127e27i 0.338442 1.86727i
\(55\) 4.84190e27 0.690578
\(56\) −2.80116e28 + 4.82464e27i −2.99454 + 0.515771i
\(57\) −8.70345e26 7.55039e27i −0.0700961 0.608095i
\(58\) 9.99823e27 1.73174e28i 0.609642 1.05593i
\(59\) 2.66321e26 1.53760e26i 0.0123530 0.00713202i −0.493811 0.869569i \(-0.664396\pi\)
0.506164 + 0.862437i \(0.331063\pi\)
\(60\) −1.55687e28 2.09820e28i −0.551866 0.743751i
\(61\) −2.79704e28 + 4.84461e28i −0.761064 + 1.31820i 0.181239 + 0.983439i \(0.441989\pi\)
−0.942303 + 0.334762i \(0.891344\pi\)
\(62\) 3.34110e28i 0.700846i
\(63\) −6.11122e28 7.58627e27i −0.992383 0.123191i
\(64\) −1.95447e29 −2.46689
\(65\) −3.73737e28 2.15777e28i −0.368089 0.212516i
\(66\) 3.83178e29 2.84319e29i 2.95595 2.19333i
\(67\) 1.99426e28 + 3.45416e28i 0.120944 + 0.209481i 0.920140 0.391589i \(-0.128074\pi\)
−0.799196 + 0.601070i \(0.794741\pi\)
\(68\) 3.28310e29 + 1.89550e29i 1.57088 + 0.906945i
\(69\) 1.90038e29 2.19060e28i 0.719871 0.0829807i
\(70\) −1.72577e29 + 1.43646e29i −0.519296 + 0.432240i
\(71\) 6.55544e29i 1.57206i 0.618191 + 0.786028i \(0.287866\pi\)
−0.618191 + 0.786028i \(0.712134\pi\)
\(72\) −1.51685e30 4.59377e29i −2.90819 0.880742i
\(73\) −3.41466e29 5.91437e29i −0.525027 0.909374i −0.999575 0.0291444i \(-0.990722\pi\)
0.474548 0.880230i \(-0.342612\pi\)
\(74\) 1.54753e30 8.93465e29i 1.91395 1.10502i
\(75\) 8.03080e29 + 3.47931e29i 0.801270 + 0.347146i
\(76\) −1.97257e30 −1.59227
\(77\) −1.89485e30 2.27648e30i −1.24086 1.49078i
\(78\) −4.22473e30 + 4.86992e29i −2.25054 + 0.259423i
\(79\) −4.19471e28 + 7.26545e28i −0.0182250 + 0.0315667i −0.874994 0.484134i \(-0.839135\pi\)
0.856769 + 0.515700i \(0.172468\pi\)
\(80\) −2.74701e30 + 1.58598e30i −0.975933 + 0.563455i
\(81\) −2.85674e30 1.90505e30i −0.831976 0.554812i
\(82\) −6.11882e30 + 1.05981e31i −1.46435 + 2.53633i
\(83\) 7.23079e30i 1.42540i −0.701470 0.712699i \(-0.747472\pi\)
0.701470 0.712699i \(-0.252528\pi\)
\(84\) −3.77224e30 + 1.55310e31i −0.613946 + 2.52773i
\(85\) 1.84345e30 0.248272
\(86\) 9.90026e30 + 5.71592e30i 1.10579 + 0.638426i
\(87\) −4.12428e30 5.55831e30i −0.382860 0.515982i
\(88\) −3.81143e31 6.60159e31i −2.94690 5.10418i
\(89\) −1.20601e31 6.96290e30i −0.778235 0.449314i 0.0575695 0.998341i \(-0.481665\pi\)
−0.835804 + 0.549027i \(0.814998\pi\)
\(90\) −1.21915e31 + 2.84853e30i −0.657928 + 0.153723i
\(91\) 4.48093e30 + 2.60160e31i 0.202631 + 1.17646i
\(92\) 4.96483e31i 1.88495i
\(93\) 1.06114e31 + 4.59732e30i 0.338878 + 0.146817i
\(94\) −1.05837e31 1.83316e31i −0.284835 0.493349i
\(95\) −8.30695e30 + 4.79602e30i −0.188740 + 0.108969i
\(96\) −6.13989e31 + 1.41719e32i −1.17983 + 2.72325i
\(97\) 6.65600e31 1.08359 0.541796 0.840510i \(-0.317745\pi\)
0.541796 + 0.840510i \(0.317745\pi\)
\(98\) 1.35074e32 + 2.49244e31i 1.86618 + 0.344356i
\(99\) −3.75751e31 1.60819e32i −0.441303 1.88875i
\(100\) 1.13574e32 1.96717e32i 1.13574 1.96717i
\(101\) 8.42522e31 4.86430e31i 0.718521 0.414838i −0.0956871 0.995411i \(-0.530505\pi\)
0.814208 + 0.580573i \(0.197171\pi\)
\(102\) 1.45887e32 1.08248e32i 1.06270 0.788531i
\(103\) −4.38103e30 + 7.58817e30i −0.0273011 + 0.0472870i −0.879353 0.476170i \(-0.842025\pi\)
0.852052 + 0.523457i \(0.175358\pi\)
\(104\) 6.79420e32i 3.62748i
\(105\) 2.18756e31 + 7.45762e31i 0.100215 + 0.341642i
\(106\) 5.58844e32 2.19987
\(107\) −4.94834e31 2.85693e31i −0.167617 0.0967740i 0.413844 0.910348i \(-0.364186\pi\)
−0.581462 + 0.813574i \(0.697519\pi\)
\(108\) −5.76080e32 + 6.79931e32i −1.68152 + 1.98465i
\(109\) 6.67868e31 + 1.15678e32i 0.168216 + 0.291358i 0.937793 0.347196i \(-0.112866\pi\)
−0.769577 + 0.638554i \(0.779533\pi\)
\(110\) −5.21497e32 3.01086e32i −1.13493 0.655251i
\(111\) −7.08269e31 6.14435e32i −0.133362 1.15693i
\(112\) 1.82069e33 + 6.70874e32i 2.96995 + 1.09434i
\(113\) 4.27211e32i 0.604487i 0.953231 + 0.302244i \(0.0977356\pi\)
−0.953231 + 0.302244i \(0.902264\pi\)
\(114\) −3.75769e32 + 8.67335e32i −0.461789 + 1.06588i
\(115\) −1.20712e32 2.09080e32i −0.128999 0.223433i
\(116\) −1.55567e33 + 8.98164e32i −1.44740 + 0.835657i
\(117\) −4.26650e32 + 1.40879e33i −0.346018 + 1.14254i
\(118\) −3.82454e31 −0.0270687
\(119\) −7.21422e32 8.66720e32i −0.446106 0.535954i
\(120\) 2.29049e32 + 1.98704e33i 0.123888 + 1.07475i
\(121\) 2.91596e33 5.05060e33i 1.38107 2.39209i
\(122\) 6.02510e33 3.47859e33i 2.50154 1.44426i
\(123\) 2.52402e33 + 3.40163e33i 0.919626 + 1.23938i
\(124\) 1.50069e33 2.59928e33i 0.480336 0.831967i
\(125\) 2.36945e33i 0.666942i
\(126\) 6.11035e33 + 4.61725e33i 1.51404 + 1.14408i
\(127\) 1.83042e32 0.0399660 0.0199830 0.999800i \(-0.493639\pi\)
0.0199830 + 0.999800i \(0.493639\pi\)
\(128\) 7.70526e33 + 4.44864e33i 1.48398 + 0.856776i
\(129\) 3.17764e33 2.35782e33i 0.540344 0.400937i
\(130\) 2.68356e33 + 4.64806e33i 0.403290 + 0.698519i
\(131\) 4.44030e33 + 2.56361e33i 0.590298 + 0.340809i 0.765215 0.643774i \(-0.222632\pi\)
−0.174917 + 0.984583i \(0.555966\pi\)
\(132\) −4.25806e34 + 4.90834e33i −5.01221 + 0.577765i
\(133\) 5.50578e33 + 2.02872e33i 0.574371 + 0.211640i
\(134\) 4.96040e33i 0.459029i
\(135\) −7.72849e32 + 4.26399e33i −0.0634972 + 0.350329i
\(136\) −1.45112e34 2.51341e34i −1.05945 1.83502i
\(137\) −1.37625e34 + 7.94579e33i −0.893652 + 0.515950i −0.875135 0.483878i \(-0.839228\pi\)
−0.0185169 + 0.999829i \(0.505894\pi\)
\(138\) −2.18302e34 9.45784e33i −1.26181 0.546672i
\(139\) −3.27532e34 −1.68662 −0.843310 0.537427i \(-0.819396\pi\)
−0.843310 + 0.537427i \(0.819396\pi\)
\(140\) 1.98780e34 3.42374e33i 0.912694 0.157200i
\(141\) −7.27844e33 + 8.38997e32i −0.298217 + 0.0343759i
\(142\) 4.07640e34 7.06053e34i 1.49164 2.58359i
\(143\) −6.13129e34 + 3.53990e34i −2.00528 + 1.15775i
\(144\) 7.39950e34 + 7.89315e34i 2.16472 + 2.30914i
\(145\) −4.36750e33 + 7.56474e33i −0.114379 + 0.198110i
\(146\) 8.49342e34i 1.99268i
\(147\) 2.65020e34 3.94700e34i 0.557445 0.830214i
\(148\) −1.60524e35 −3.02937
\(149\) 5.41650e34 + 3.12722e34i 0.917780 + 0.529880i 0.882926 0.469512i \(-0.155570\pi\)
0.0348537 + 0.999392i \(0.488903\pi\)
\(150\) −6.48602e34 8.74122e34i −0.987457 1.33080i
\(151\) 2.22673e34 + 3.85680e34i 0.304815 + 0.527954i 0.977220 0.212229i \(-0.0680722\pi\)
−0.672405 + 0.740183i \(0.734739\pi\)
\(152\) 1.30781e35 + 7.55063e34i 1.61082 + 0.930006i
\(153\) −1.43059e34 6.12285e34i −0.158655 0.679033i
\(154\) 6.25249e34 + 3.63016e35i 0.624772 + 3.62739i
\(155\) 1.45948e34i 0.131490i
\(156\) 3.50546e35 + 1.51872e35i 2.84939 + 1.23448i
\(157\) 1.77324e34 + 3.07135e34i 0.130129 + 0.225390i 0.923726 0.383054i \(-0.125128\pi\)
−0.793597 + 0.608444i \(0.791794\pi\)
\(158\) 9.03583e33 5.21684e33i 0.0599038 0.0345855i
\(159\) 7.68964e34 1.77489e35i 0.460842 1.06370i
\(160\) 1.94920e35 1.05666
\(161\) −5.10616e34 + 1.38577e35i −0.250542 + 0.679948i
\(162\) 1.89223e35 + 3.82825e35i 0.840877 + 1.70122i
\(163\) 2.05139e35 3.55310e35i 0.826125 1.43089i −0.0749318 0.997189i \(-0.523874\pi\)
0.901057 0.433702i \(-0.142793\pi\)
\(164\) 9.52052e35 5.49668e35i 3.47664 2.00724i
\(165\) −1.67383e35 + 1.24199e35i −0.554584 + 0.411503i
\(166\) −4.49636e35 + 7.78792e35i −1.35248 + 2.34257i
\(167\) 4.39021e34i 0.119956i 0.998200 + 0.0599780i \(0.0191031\pi\)
−0.998200 + 0.0599780i \(0.980897\pi\)
\(168\) 8.44594e35 8.85305e35i 2.09749 2.19859i
\(169\) 1.88238e35 0.425128
\(170\) −1.98549e35 1.14632e35i −0.408022 0.235572i
\(171\) 2.23761e35 + 2.38689e35i 0.418645 + 0.446575i
\(172\) −5.13474e35 8.89364e35i −0.875112 1.51574i
\(173\) −8.29161e35 4.78716e35i −1.28796 0.743602i −0.309667 0.950845i \(-0.600218\pi\)
−0.978290 + 0.207243i \(0.933551\pi\)
\(174\) 9.85710e34 + 8.55120e35i 0.139624 + 1.21126i
\(175\) −5.19321e35 + 4.32261e35i −0.671161 + 0.558647i
\(176\) 5.20373e36i 6.13920i
\(177\) −5.26253e33 + 1.21468e34i −0.00567051 + 0.0130885i
\(178\) 8.65955e35 + 1.49988e36i 0.852659 + 1.47685i
\(179\) 1.38341e35 7.98713e34i 0.124538 0.0719022i −0.436437 0.899735i \(-0.643760\pi\)
0.560975 + 0.827833i \(0.310426\pi\)
\(180\) 1.07641e36 + 3.25990e35i 0.886376 + 0.268438i
\(181\) −5.70839e35 −0.430186 −0.215093 0.976594i \(-0.569005\pi\)
−0.215093 + 0.976594i \(0.569005\pi\)
\(182\) 1.13515e36 3.08070e36i 0.783269 2.12572i
\(183\) −2.75756e35 2.39223e36i −0.174304 1.51211i
\(184\) −1.90044e36 + 3.29166e36i −1.10095 + 1.90691i
\(185\) −6.76002e35 + 3.90290e35i −0.359088 + 0.207319i
\(186\) −8.57018e35 1.15501e36i −0.417622 0.562829i
\(187\) 1.51212e36 2.61907e36i 0.676271 1.17134i
\(188\) 1.90153e36i 0.780866i
\(189\) 2.30722e36 1.30532e36i 0.870362 0.492412i
\(190\) 1.19293e36 0.413579
\(191\) 4.53838e36 + 2.62023e36i 1.44666 + 0.835230i 0.998281 0.0586137i \(-0.0186680\pi\)
0.448379 + 0.893843i \(0.352001\pi\)
\(192\) 6.75653e36 5.01337e36i 1.98109 1.46998i
\(193\) −9.21251e35 1.59565e36i −0.248577 0.430548i 0.714554 0.699580i \(-0.246630\pi\)
−0.963131 + 0.269032i \(0.913296\pi\)
\(194\) −7.16884e36 4.13893e36i −1.78082 1.02816i
\(195\) 1.84548e36 2.12732e35i 0.422237 0.0486719i
\(196\) −9.38886e36 8.00605e36i −1.97932 1.68780i
\(197\) 5.09045e36i 0.989228i −0.869113 0.494614i \(-0.835309\pi\)
0.869113 0.494614i \(-0.164691\pi\)
\(198\) −5.95329e36 + 1.96576e37i −1.06688 + 3.52280i
\(199\) 3.80024e36 + 6.58221e36i 0.628292 + 1.08823i 0.987894 + 0.155128i \(0.0495791\pi\)
−0.359602 + 0.933106i \(0.617088\pi\)
\(200\) −1.50598e37 + 8.69481e36i −2.29795 + 1.32672i
\(201\) −1.57543e36 6.82546e35i −0.221953 0.0961602i
\(202\) −1.20992e37 −1.57447
\(203\) 5.26585e36 9.06975e35i 0.633187 0.109058i
\(204\) −1.62117e37 + 1.86874e36i −1.80196 + 0.207715i
\(205\) 2.67287e36 4.62954e36i 0.274736 0.475857i
\(206\) 9.43718e35 5.44856e35i 0.0897360 0.0518091i
\(207\) −6.00763e36 + 5.63190e36i −0.528662 + 0.495598i
\(208\) 2.31902e37 4.01666e37i 1.88926 3.27229i
\(209\) 1.57361e37i 1.18729i
\(210\) 2.28129e36 9.39253e36i 0.159468 0.656559i
\(211\) 2.49778e37 1.61821 0.809106 0.587662i \(-0.199952\pi\)
0.809106 + 0.587662i \(0.199952\pi\)
\(212\) −4.34764e37 2.51011e37i −2.61144 1.50772i
\(213\) −1.68152e37 2.26619e37i −0.936761 1.26247i
\(214\) 3.55307e36 + 6.15410e36i 0.183647 + 0.318086i
\(215\) −4.32471e36 2.49687e36i −0.207463 0.119779i
\(216\) 6.42202e37 2.30279e37i 2.86030 1.02564i
\(217\) −6.86195e36 + 5.71160e36i −0.283852 + 0.236266i
\(218\) 1.66121e37i 0.638442i
\(219\) 2.69752e37 + 1.16869e37i 0.963515 + 0.417438i
\(220\) 2.70473e37 + 4.68473e37i 0.898175 + 1.55568i
\(221\) −2.33436e37 + 1.34774e37i −0.720926 + 0.416227i
\(222\) −3.05793e37 + 7.05820e37i −0.878577 + 2.02790i
\(223\) 5.32720e36 0.142437 0.0712183 0.997461i \(-0.477311\pi\)
0.0712183 + 0.997461i \(0.477311\pi\)
\(224\) −7.62805e37 9.16439e37i −1.89865 2.28105i
\(225\) −3.66869e37 + 8.57181e36i −0.850336 + 0.198679i
\(226\) 2.65655e37 4.60127e37i 0.573564 0.993443i
\(227\) −5.31417e37 + 3.06814e37i −1.06911 + 0.617250i −0.927938 0.372736i \(-0.878420\pi\)
−0.141170 + 0.989985i \(0.545087\pi\)
\(228\) 6.81911e37 5.05981e37i 1.27870 0.948804i
\(229\) −1.41178e37 + 2.44528e37i −0.246831 + 0.427524i −0.962645 0.270767i \(-0.912723\pi\)
0.715814 + 0.698291i \(0.246056\pi\)
\(230\) 3.00253e37i 0.489600i
\(231\) 1.23898e38 + 3.00927e37i 1.88483 + 0.457794i
\(232\) 1.37520e38 1.95235
\(233\) 5.45893e37 + 3.15172e37i 0.723457 + 0.417688i 0.816024 0.578018i \(-0.196174\pi\)
−0.0925665 + 0.995707i \(0.529507\pi\)
\(234\) 1.33556e38 1.25203e38i 1.65276 1.54939i
\(235\) 4.62327e36 + 8.00775e36i 0.0534397 + 0.0925602i
\(236\) 2.97538e36 + 1.71784e36i 0.0321330 + 0.0185520i
\(237\) −4.13550e35 3.58762e36i −0.00417402 0.0362103i
\(238\) 2.38050e37 + 1.38211e38i 0.224614 + 1.30410i
\(239\) 1.23000e38i 1.08527i −0.839969 0.542635i \(-0.817427\pi\)
0.839969 0.542635i \(-0.182573\pi\)
\(240\) 5.42812e37 1.25290e38i 0.447991 1.03404i
\(241\) −2.77234e37 4.80184e37i −0.214079 0.370796i 0.738908 0.673806i \(-0.235342\pi\)
−0.952987 + 0.303010i \(0.902008\pi\)
\(242\) −6.28127e38 + 3.62649e38i −4.53943 + 2.62084i
\(243\) 1.47622e38 7.42081e36i 0.998739 0.0502055i
\(244\) −6.24980e38 −3.95940
\(245\) −5.90041e37 1.08877e37i −0.350126 0.0646066i
\(246\) −6.03245e37 5.23325e38i −0.335376 2.90944i
\(247\) 7.01272e37 1.21464e38i 0.365372 0.632842i
\(248\) −1.98991e38 + 1.14887e38i −0.971864 + 0.561106i
\(249\) 1.85475e38 + 2.49966e38i 0.849370 + 1.14470i
\(250\) −1.47341e38 + 2.55202e38i −0.632824 + 1.09608i
\(251\) 4.15788e37i 0.167530i −0.996486 0.0837649i \(-0.973306\pi\)
0.996486 0.0837649i \(-0.0266945\pi\)
\(252\) −2.67978e38 6.33662e38i −1.01319 2.39579i
\(253\) −3.96066e38 −1.40553
\(254\) −1.97145e37 1.13822e37i −0.0656820 0.0379215i
\(255\) −6.37273e37 + 4.72859e37i −0.199380 + 0.147941i
\(256\) −1.33544e38 2.31305e38i −0.392450 0.679743i
\(257\) 1.39096e38 + 8.03071e37i 0.384047 + 0.221730i 0.679578 0.733603i \(-0.262163\pi\)
−0.295530 + 0.955333i \(0.595496\pi\)
\(258\) −4.88866e38 + 5.63523e37i −1.26845 + 0.146217i
\(259\) 4.48049e38 + 1.65093e38i 1.09277 + 0.402655i
\(260\) 4.82141e38i 1.10561i
\(261\) 2.85150e38 + 8.63574e37i 0.614929 + 0.186231i
\(262\) −3.18828e38 5.52227e38i −0.646749 1.12020i
\(263\) −2.90627e37 + 1.67794e37i −0.0554682 + 0.0320246i −0.527478 0.849569i \(-0.676862\pi\)
0.472009 + 0.881593i \(0.343529\pi\)
\(264\) 3.01096e39 + 1.30448e39i 5.40806 + 2.34302i
\(265\) −2.44119e38 −0.412731
\(266\) −4.66847e38 5.60872e38i −0.743135 0.892807i
\(267\) 5.95517e38 6.86461e37i 0.892717 0.102905i
\(268\) −2.22802e38 + 3.85905e38i −0.314603 + 0.544909i
\(269\) 1.01266e39 5.84658e38i 1.34718 0.777795i 0.359332 0.933210i \(-0.383005\pi\)
0.987849 + 0.155414i \(0.0496713\pi\)
\(270\) 3.48390e38 4.11195e38i 0.436762 0.515498i
\(271\) −7.37166e38 + 1.27681e39i −0.871078 + 1.50875i −0.0101943 + 0.999948i \(0.503245\pi\)
−0.860883 + 0.508803i \(0.830088\pi\)
\(272\) 1.98121e39i 2.20713i
\(273\) −8.22236e38 7.84425e38i −0.863762 0.824041i
\(274\) 1.97639e39 1.95823
\(275\) −1.56929e39 9.06031e38i −1.46683 0.846876i
\(276\) 1.27352e39 + 1.71632e39i 1.12321 + 1.51375i
\(277\) 3.87870e38 + 6.71810e38i 0.322857 + 0.559204i 0.981076 0.193622i \(-0.0620235\pi\)
−0.658220 + 0.752826i \(0.728690\pi\)
\(278\) 3.52769e39 + 2.03671e39i 2.77187 + 1.60034i
\(279\) −4.84755e38 + 1.13262e38i −0.359629 + 0.0840266i
\(280\) −1.44896e39 5.33900e38i −1.01514 0.374052i
\(281\) 5.80364e38i 0.384060i 0.981389 + 0.192030i \(0.0615072\pi\)
−0.981389 + 0.192030i \(0.938493\pi\)
\(282\) 8.36096e38 + 3.62234e38i 0.522721 + 0.226467i
\(283\) 6.12684e38 + 1.06120e39i 0.361954 + 0.626923i 0.988282 0.152636i \(-0.0487763\pi\)
−0.626328 + 0.779559i \(0.715443\pi\)
\(284\) −6.34264e39 + 3.66193e39i −3.54141 + 2.04464i
\(285\) 1.64146e38 3.78876e38i 0.0866390 0.199977i
\(286\) 8.80494e39 4.39410
\(287\) −3.22265e39 + 5.55060e38i −1.52091 + 0.261957i
\(288\) −1.51266e39 6.47408e39i −0.675243 2.89000i
\(289\) −6.08249e38 + 1.05352e39i −0.256871 + 0.444914i
\(290\) 9.40804e38 5.43173e38i 0.375951 0.217055i
\(291\) −2.30095e39 + 1.70732e39i −0.870201 + 0.645693i
\(292\) 3.81492e39 6.60764e39i 1.36571 2.36549i
\(293\) 1.97673e39i 0.669986i 0.942221 + 0.334993i \(0.108734\pi\)
−0.942221 + 0.334993i \(0.891266\pi\)
\(294\) −5.30879e39 + 2.60313e39i −1.70388 + 0.835484i
\(295\) 1.67067e37 0.00507852
\(296\) 1.06427e40 + 6.14454e39i 3.06466 + 1.76938i
\(297\) 5.42410e39 + 4.59563e39i 1.47987 + 1.25384i
\(298\) −3.88923e39 6.73634e39i −1.00555 1.74166i
\(299\) 3.05716e39 + 1.76505e39i 0.749167 + 0.432532i
\(300\) 1.11971e39 + 9.71369e39i 0.260116 + 2.25655i
\(301\) 5.18511e38 + 3.01045e39i 0.114207 + 0.663082i
\(302\) 5.53863e39i 1.15689i
\(303\) −1.66483e39 + 3.84271e39i −0.329829 + 0.761299i
\(304\) −5.15442e39 8.92771e39i −0.968728 1.67789i
\(305\) −2.63193e39 + 1.51955e39i −0.469328 + 0.270967i
\(306\) −2.26659e39 + 7.48421e39i −0.383557 + 1.26649i
\(307\) −3.92301e39 −0.630093 −0.315047 0.949076i \(-0.602020\pi\)
−0.315047 + 0.949076i \(0.602020\pi\)
\(308\) 1.14410e40 3.10500e40i 1.74443 4.73424i
\(309\) −4.31919e37 3.74697e38i −0.00625269 0.0542431i
\(310\) −9.07559e38 + 1.57194e39i −0.124764 + 0.216097i
\(311\) 3.50445e39 2.02329e39i 0.457566 0.264176i −0.253455 0.967347i \(-0.581567\pi\)
0.711020 + 0.703172i \(0.248233\pi\)
\(312\) −1.74276e40 2.34873e40i −2.16155 2.91312i
\(313\) −4.93795e39 + 8.55278e39i −0.581885 + 1.00785i 0.413371 + 0.910563i \(0.364351\pi\)
−0.995256 + 0.0972921i \(0.968982\pi\)
\(314\) 4.41066e39i 0.493889i
\(315\) −2.66917e39 2.01694e39i −0.284058 0.214647i
\(316\) −9.37281e38 −0.0948149
\(317\) 4.07594e39 + 2.35324e39i 0.391994 + 0.226318i 0.683024 0.730396i \(-0.260665\pi\)
−0.291030 + 0.956714i \(0.593998\pi\)
\(318\) −1.93190e40 + 1.43348e40i −1.76665 + 1.31086i
\(319\) 7.16504e39 + 1.24102e40i 0.623114 + 1.07927i
\(320\) −9.19550e39 5.30902e39i −0.760634 0.439152i
\(321\) 2.44345e39 2.81660e38i 0.192275 0.0221638i
\(322\) 1.41168e40 1.17502e40i 1.05692 0.879734i
\(323\) 5.99117e39i 0.426846i
\(324\) 2.47409e39 3.82819e40i 0.167763 2.59581i
\(325\) 8.07538e39 + 1.39870e40i 0.521230 + 0.902797i
\(326\) −4.41889e40 + 2.55125e40i −2.71539 + 1.56773i
\(327\) −5.27602e39 2.28581e39i −0.308704 0.133745i
\(328\) −8.41608e40 −4.68952
\(329\) 1.95565e39 5.30747e39i 0.103790 0.281678i
\(330\) 2.57510e40 2.96836e39i 1.30188 0.150070i
\(331\) −1.07440e40 + 1.86091e40i −0.517509 + 0.896352i 0.482284 + 0.876015i \(0.339807\pi\)
−0.999793 + 0.0203372i \(0.993526\pi\)
\(332\) 6.99607e40 4.03918e40i 3.21103 1.85389i
\(333\) 1.82092e40 + 1.94240e40i 0.796495 + 0.849633i
\(334\) 2.72999e39 4.72848e39i 0.113820 0.197141i
\(335\) 2.16684e39i 0.0861212i
\(336\) −8.01491e40 + 2.35104e40i −3.03718 + 0.890904i
\(337\) 9.50785e39 0.343561 0.171781 0.985135i \(-0.445048\pi\)
0.171781 + 0.985135i \(0.445048\pi\)
\(338\) −2.02742e40 1.17053e40i −0.698676 0.403381i
\(339\) −1.09583e40 1.47685e40i −0.360203 0.485447i
\(340\) 1.02977e40 + 1.78361e40i 0.322906 + 0.559290i
\(341\) −2.07355e40 1.19717e40i −0.620362 0.358166i
\(342\) −9.25764e39 3.96222e40i −0.264291 1.13115i
\(343\) 1.79719e40 + 3.20023e40i 0.489653 + 0.871918i
\(344\) 7.86191e40i 2.04453i
\(345\) 9.53604e39 + 4.13145e39i 0.236735 + 0.102564i
\(346\) 5.95365e40 + 1.03120e41i 1.41113 + 2.44414i
\(347\) 2.78505e40 1.60795e40i 0.630320 0.363916i −0.150556 0.988602i \(-0.548106\pi\)
0.780876 + 0.624686i \(0.214773\pi\)
\(348\) 3.07402e40 7.09532e40i 0.664413 1.53357i
\(349\) 4.18210e40 0.863352 0.431676 0.902029i \(-0.357922\pi\)
0.431676 + 0.902029i \(0.357922\pi\)
\(350\) 8.28129e40 1.42635e40i 1.63309 0.281278i
\(351\) −2.13874e40 5.96452e40i −0.402943 1.12373i
\(352\) 1.59886e41 2.76931e41i 2.87825 4.98527i
\(353\) −3.78172e40 + 2.18338e40i −0.650570 + 0.375607i −0.788674 0.614811i \(-0.789232\pi\)
0.138105 + 0.990418i \(0.455899\pi\)
\(354\) 1.32213e39 9.81025e38i 0.0217381 0.0161298i
\(355\) −1.78068e40 + 3.08424e40i −0.279855 + 0.484723i
\(356\) 1.55582e41i 2.33753i
\(357\) 4.71713e40 + 1.14572e40i 0.677621 + 0.164583i
\(358\) −1.98667e40 −0.272896
\(359\) 1.78020e40 + 1.02780e40i 0.233860 + 0.135019i 0.612352 0.790585i \(-0.290224\pi\)
−0.378491 + 0.925605i \(0.623557\pi\)
\(360\) −5.88872e40 6.28159e40i −0.739914 0.789277i
\(361\) 2.60123e40 + 4.50546e40i 0.312653 + 0.541531i
\(362\) 6.14821e40 + 3.54967e40i 0.706988 + 0.408180i
\(363\) 2.87480e40 + 2.49394e41i 0.316302 + 2.74397i
\(364\) −2.26684e41 + 1.88683e41i −2.38671 + 1.98660i
\(365\) 3.71016e40i 0.373858i
\(366\) −1.19057e41 + 2.74802e41i −1.14830 + 2.65047i
\(367\) −4.35810e40 7.54845e40i −0.402384 0.696949i 0.591629 0.806210i \(-0.298485\pi\)
−0.994013 + 0.109261i \(0.965152\pi\)
\(368\) 2.24704e41 1.29733e41i 1.98630 1.14679i
\(369\) −1.74509e41 5.28498e40i −1.47705 0.447324i
\(370\) 9.70784e40 0.786856
\(371\) 9.55342e40 + 1.14775e41i 0.741611 + 0.890976i
\(372\) 1.47951e40 + 1.28350e41i 0.110010 + 0.954353i
\(373\) 5.97403e40 1.03473e41i 0.425526 0.737032i −0.570944 0.820989i \(-0.693423\pi\)
0.996469 + 0.0839571i \(0.0267559\pi\)
\(374\) −3.25726e41 + 1.88058e41i −2.22283 + 1.28335i
\(375\) 6.07783e40 + 8.19111e40i 0.397419 + 0.535602i
\(376\) 7.27867e40 1.26070e41i 0.456086 0.789963i
\(377\) 1.27723e41i 0.767021i
\(378\) −3.29668e41 2.88132e39i −1.89762 0.0165853i
\(379\) 1.80975e41 0.998598 0.499299 0.866430i \(-0.333591\pi\)
0.499299 + 0.866430i \(0.333591\pi\)
\(380\) −9.28067e40 5.35820e40i −0.490955 0.283453i
\(381\) −6.32768e39 + 4.69516e39i −0.0320955 + 0.0238150i
\(382\) −3.25870e41 5.64424e41i −1.58501 2.74531i
\(383\) −2.43534e40 1.40605e40i −0.113600 0.0655872i 0.442123 0.896954i \(-0.354225\pi\)
−0.555724 + 0.831367i \(0.687559\pi\)
\(384\) −3.80479e41 + 4.38584e40i −1.70228 + 0.196225i
\(385\) −2.73126e40 1.58576e41i −0.117217 0.680557i
\(386\) 2.29147e41i 0.943445i
\(387\) −4.93699e40 + 1.63018e41i −0.195023 + 0.643962i
\(388\) 3.71810e41 + 6.43994e41i 1.40933 + 2.44104i
\(389\) 1.16116e41 6.70397e40i 0.422376 0.243859i −0.273717 0.961810i \(-0.588253\pi\)
0.696093 + 0.717951i \(0.254920\pi\)
\(390\) −2.11996e41 9.18462e40i −0.740106 0.320647i
\(391\) −1.50793e41 −0.505306
\(392\) 3.16021e41 + 8.90184e41i 1.01657 + 2.86354i
\(393\) −2.19258e41 + 2.52742e40i −0.677134 + 0.0780543i
\(394\) −3.16542e41 + 5.48267e41i −0.938624 + 1.62574i
\(395\) −3.94710e39 + 2.27886e39i −0.0112389 + 0.00648879i
\(396\) 1.34609e42 1.26191e42i 3.68088 3.45067i
\(397\) −5.75010e40 + 9.95946e40i −0.151017 + 0.261570i −0.931602 0.363481i \(-0.881588\pi\)
0.780584 + 0.625050i \(0.214922\pi\)
\(398\) 9.45248e41i 2.38461i
\(399\) −2.42371e41 + 7.10953e40i −0.587373 + 0.172296i
\(400\) 1.18710e42 2.76393
\(401\) −1.65808e41 9.57294e40i −0.370933 0.214158i 0.302933 0.953012i \(-0.402034\pi\)
−0.673866 + 0.738853i \(0.735368\pi\)
\(402\) 1.27238e41 + 1.71479e41i 0.273527 + 0.368633i
\(403\) 1.06703e41 + 1.84814e41i 0.220442 + 0.381817i
\(404\) 9.41281e41 + 5.43449e41i 1.86904 + 1.07909i
\(405\) −8.26577e40 1.67229e41i −0.157762 0.319176i
\(406\) −6.23557e41 2.29763e41i −1.14409 0.421564i
\(407\) 1.28057e42i 2.25888i
\(408\) 1.14636e42 + 4.96654e41i 1.94427 + 0.842347i
\(409\) −1.31042e41 2.26971e41i −0.213716 0.370167i 0.739158 0.673532i \(-0.235223\pi\)
−0.952875 + 0.303364i \(0.901890\pi\)
\(410\) −5.75762e41 + 3.32417e41i −0.903029 + 0.521364i
\(411\) 2.71949e41 6.27702e41i 0.410221 0.946857i
\(412\) −9.78913e40 −0.142033
\(413\) −6.53805e39 7.85485e39i −0.00912530 0.0109632i
\(414\) 9.97263e41 2.33008e41i 1.33907 0.312871i
\(415\) 1.96413e41 3.40198e41i 0.253747 0.439503i
\(416\) −2.46826e42 + 1.42505e42i −3.06830 + 1.77149i
\(417\) 1.13227e42 8.40146e41i 1.35448 1.00503i
\(418\) 9.78523e41 1.69485e42i 1.12655 1.95124i
\(419\) 1.35169e42i 1.49780i −0.662685 0.748899i \(-0.730583\pi\)
0.662685 0.748899i \(-0.269417\pi\)
\(420\) −5.99355e41 + 6.28245e41i −0.639286 + 0.670101i
\(421\) −2.83486e41 −0.291084 −0.145542 0.989352i \(-0.546493\pi\)
−0.145542 + 0.989352i \(0.546493\pi\)
\(422\) −2.69024e42 1.55321e42i −2.65945 1.53543i
\(423\) 2.30092e41 2.15701e41i 0.219006 0.205309i
\(424\) 1.92164e42 + 3.32838e42i 1.76124 + 3.05056i
\(425\) −5.97474e41 3.44952e41i −0.527347 0.304464i
\(426\) 4.01886e41 + 3.48643e42i 0.341625 + 2.96365i
\(427\) 1.74442e42 + 6.42770e41i 1.42825 + 0.526271i
\(428\) 6.38362e41i 0.503462i
\(429\) 1.21155e42 2.79645e42i 0.920502 2.12467i
\(430\) 3.10528e41 + 5.37851e41i 0.227303 + 0.393701i
\(431\) −1.18502e42 + 6.84174e41i −0.835778 + 0.482536i −0.855827 0.517263i \(-0.826951\pi\)
0.0200491 + 0.999799i \(0.493618\pi\)
\(432\) −4.58263e42 8.30603e41i −3.11441 0.564486i
\(433\) −2.98142e42 −1.95261 −0.976307 0.216390i \(-0.930572\pi\)
−0.976307 + 0.216390i \(0.930572\pi\)
\(434\) 1.09423e42 1.88468e41i 0.690676 0.118960i
\(435\) −4.30585e40 3.73540e41i −0.0261958 0.227253i
\(436\) −7.46154e41 + 1.29238e42i −0.437567 + 0.757888i
\(437\) 6.79505e41 3.92313e41i 0.384140 0.221783i
\(438\) −2.17863e42 2.93614e42i −1.18740 1.60026i
\(439\) −7.59629e41 + 1.31572e42i −0.399180 + 0.691400i −0.993625 0.112736i \(-0.964039\pi\)
0.594445 + 0.804136i \(0.297372\pi\)
\(440\) 4.14127e42i 2.09841i
\(441\) 9.62716e40 + 2.04426e42i 0.0470414 + 0.998893i
\(442\) 3.35229e42 1.57974
\(443\) 2.17961e42 + 1.25840e42i 0.990650 + 0.571952i 0.905468 0.424414i \(-0.139520\pi\)
0.0851812 + 0.996365i \(0.472853\pi\)
\(444\) 5.54925e42 4.11757e42i 2.43280 1.80515i
\(445\) −3.78273e41 6.55188e41i −0.159972 0.277080i
\(446\) −5.73766e41 3.31264e41i −0.234087 0.135150i
\(447\) −2.67462e42 + 3.08308e41i −1.05279 + 0.121357i
\(448\) 1.10250e42 + 6.40103e42i 0.418725 + 2.43109i
\(449\) 1.89089e42i 0.692988i 0.938052 + 0.346494i \(0.112628\pi\)
−0.938052 + 0.346494i \(0.887372\pi\)
\(450\) 4.48438e42 + 1.35809e42i 1.58600 + 0.480318i
\(451\) −4.38493e42 7.59493e42i −1.49671 2.59238i
\(452\) −4.13343e42 + 2.38644e42i −1.36174 + 0.786204i
\(453\) −1.75907e42 7.62109e41i −0.559387 0.242352i
\(454\) 7.63150e42 2.34270
\(455\) −4.95865e41 + 1.34573e42i −0.146954 + 0.398820i
\(456\) −6.45783e42 + 7.44405e41i −1.84778 + 0.212996i
\(457\) 1.46716e42 2.54119e42i 0.405338 0.702066i −0.589023 0.808116i \(-0.700487\pi\)
0.994361 + 0.106050i \(0.0338205\pi\)
\(458\) 3.04112e42 1.75579e42i 0.811308 0.468409i
\(459\) 2.06511e42 + 1.74969e42i 0.532035 + 0.450773i
\(460\) 1.34862e42 2.33588e42i 0.335556 0.581199i
\(461\) 4.05989e39i 0.000975662i 1.00000 0.000487831i \(0.000155281\pi\)
−1.00000 0.000487831i \(0.999845\pi\)
\(462\) −1.14731e43 1.09455e43i −2.66324 2.54077i
\(463\) −7.14968e42 −1.60321 −0.801606 0.597853i \(-0.796021\pi\)
−0.801606 + 0.597853i \(0.796021\pi\)
\(464\) −8.13004e42 4.69388e42i −1.76118 1.01682i
\(465\) 3.74369e41 + 5.04538e41i 0.0783525 + 0.105596i
\(466\) −3.91969e42 6.78911e42i −0.792643 1.37290i
\(467\) 1.97595e42 + 1.14082e42i 0.386106 + 0.222918i 0.680472 0.732775i \(-0.261775\pi\)
−0.294366 + 0.955693i \(0.595108\pi\)
\(468\) −1.60139e43 + 3.74161e42i −3.02387 + 0.706520i
\(469\) 1.01877e42 8.47979e41i 0.185913 0.154746i
\(470\) 1.14997e42i 0.202824i
\(471\) −1.40083e42 6.06902e41i −0.238809 0.103463i
\(472\) −1.31511e41 2.27784e41i −0.0216715 0.0375362i
\(473\) −7.09483e42 + 4.09620e42i −1.13022 + 0.652534i
\(474\) −1.78549e41 + 4.12120e41i −0.0274982 + 0.0634702i
\(475\) 3.58978e42 0.534528
\(476\) 4.35593e42 1.18216e43i 0.627148 1.70202i
\(477\) 1.89446e42 + 8.10818e42i 0.263749 + 1.12883i
\(478\) −7.64855e42 + 1.32477e43i −1.02975 + 1.78358i
\(479\) 7.41903e41 4.28338e41i 0.0966004 0.0557723i −0.450922 0.892564i \(-0.648905\pi\)
0.547522 + 0.836791i \(0.315571\pi\)
\(480\) −6.73829e42 + 4.99984e42i −0.848575 + 0.629646i
\(481\) 5.70680e42 9.88447e42i 0.695139 1.20402i
\(482\) 6.89576e42i 0.812511i
\(483\) −1.78942e42 6.10031e42i −0.203966 0.695340i
\(484\) 6.51553e43 7.18495
\(485\) 3.13155e42 + 1.80800e42i 0.334111 + 0.192899i
\(486\) −1.63611e43 8.38042e42i −1.68901 0.865138i
\(487\) −2.84580e42 4.92907e42i −0.284277 0.492382i 0.688157 0.725562i \(-0.258420\pi\)
−0.972434 + 0.233180i \(0.925087\pi\)
\(488\) 4.14359e43 + 2.39230e43i 4.00552 + 2.31259i
\(489\) 2.02243e42 + 1.75449e43i 0.189205 + 1.64138i
\(490\) 5.67800e42 + 4.84173e42i 0.514112 + 0.438393i
\(491\) 2.02776e43i 1.77710i −0.458778 0.888551i \(-0.651713\pi\)
0.458778 0.888551i \(-0.348287\pi\)
\(492\) −1.88127e43 + 4.34227e43i −1.59591 + 3.68362i
\(493\) 2.72793e42 + 4.72492e42i 0.224018 + 0.388011i
\(494\) −1.51061e43 + 8.72150e42i −1.20094 + 0.693362i
\(495\) 2.60056e42 8.58699e42i 0.200163 0.660933i
\(496\) 1.56855e43 1.16894
\(497\) 2.14695e43 3.69785e42i 1.54924 0.266838i
\(498\) −4.43289e42 3.84560e43i −0.309754 2.68717i
\(499\) −8.78001e42 + 1.52074e43i −0.594137 + 1.02908i 0.399531 + 0.916720i \(0.369173\pi\)
−0.993668 + 0.112356i \(0.964160\pi\)
\(500\) 2.29254e43 1.32360e43i 1.50244 0.867433i
\(501\) −1.12612e42 1.51768e42i −0.0714797 0.0963333i
\(502\) −2.58551e42 + 4.47824e42i −0.158960 + 0.275327i
\(503\) 1.32603e43i 0.789706i −0.918744 0.394853i \(-0.870796\pi\)
0.918744 0.394853i \(-0.129204\pi\)
\(504\) −6.48852e42 + 5.22692e43i −0.374332 + 3.01548i
\(505\) 5.28526e42 0.295396
\(506\) 4.26582e43 + 2.46287e43i 2.30991 + 1.33363i
\(507\) −6.50731e42 + 4.82845e42i −0.341409 + 0.253326i
\(508\) 1.02249e42 + 1.77100e42i 0.0519802 + 0.0900324i
\(509\) −1.95994e42 1.13157e42i −0.0965511 0.0557438i 0.450947 0.892551i \(-0.351086\pi\)
−0.547498 + 0.836807i \(0.684420\pi\)
\(510\) 9.80415e42 1.13014e42i 0.468044 0.0539522i
\(511\) −1.74438e43 + 1.45195e43i −0.807061 + 0.671764i
\(512\) 4.99663e42i 0.224056i
\(513\) −1.38579e43 2.51174e42i −0.602309 0.109169i
\(514\) −9.98756e42 1.72990e43i −0.420774 0.728803i
\(515\) −4.12242e41 + 2.38008e41i −0.0168359 + 0.00972022i
\(516\) 4.05635e43 + 1.75739e43i 1.60598 + 0.695783i
\(517\) 1.51693e43 0.582259
\(518\) −3.79910e43 4.56426e43i −1.41385 1.69861i
\(519\) 4.09432e43 4.71959e42i 1.47742 0.170305i
\(520\) −1.84554e43 + 3.19657e43i −0.645758 + 1.11849i
\(521\) −2.02359e43 + 1.16832e43i −0.686625 + 0.396423i −0.802346 0.596859i \(-0.796415\pi\)
0.115722 + 0.993282i \(0.463082\pi\)
\(522\) −2.53420e43 2.70327e43i −0.833899 0.889532i
\(523\) −4.58185e42 + 7.93600e42i −0.146222 + 0.253265i −0.929828 0.367994i \(-0.880045\pi\)
0.783606 + 0.621258i \(0.213378\pi\)
\(524\) 5.72822e43i 1.77304i
\(525\) 6.86489e42 2.82641e43i 0.206103 0.848567i
\(526\) 4.17360e42 0.121545
\(527\) −7.89461e42 4.55796e42i −0.223029 0.128766i
\(528\) −1.33480e44 1.79891e44i −3.65824 4.93022i
\(529\) −8.93023e42 1.54676e43i −0.237450 0.411275i
\(530\) 2.62928e43 + 1.51801e43i 0.678301 + 0.391617i
\(531\) −1.29650e41 5.54897e41i −0.00324535 0.0138899i
\(532\) 1.11271e43 + 6.46032e43i 0.270268 + 1.56916i
\(533\) 7.81651e43i 1.84237i
\(534\) −6.84087e43 2.96378e43i −1.56477 0.677931i
\(535\) −1.55208e42 2.68828e42i −0.0344551 0.0596780i
\(536\) 2.95434e43 1.70569e43i 0.636536 0.367504i
\(537\) −2.73364e42 + 6.30968e42i −0.0571679 + 0.131953i
\(538\) −1.45424e44 −2.95203
\(539\) −6.38677e43 + 7.48989e43i −1.25852 + 1.47589i
\(540\) −4.55730e43 + 1.63414e43i −0.871781 + 0.312601i
\(541\) −1.35968e43 + 2.35504e43i −0.252512 + 0.437363i −0.964217 0.265115i \(-0.914590\pi\)
0.711705 + 0.702479i \(0.247923\pi\)
\(542\) 1.58793e44 9.16791e43i 2.86314 1.65303i
\(543\) 1.97337e43 1.46425e43i 0.345470 0.256340i
\(544\) 6.08732e43 1.05435e44i 1.03477 1.79227i
\(545\) 7.25664e42i 0.119782i
\(546\) 3.97806e43 + 1.35616e44i 0.637660 + 2.17384i
\(547\) 2.07413e43 0.322879 0.161439 0.986883i \(-0.448386\pi\)
0.161439 + 0.986883i \(0.448386\pi\)
\(548\) −1.53757e44 8.87718e43i −2.32459 1.34210i
\(549\) 7.08952e43 + 7.56250e43i 1.04102 + 1.11047i
\(550\) 1.12680e44 + 1.95168e44i 1.60711 + 2.78359i
\(551\) −2.45852e43 1.41943e43i −0.340603 0.196647i
\(552\) −1.87361e43 1.62539e44i −0.252148 2.18742i
\(553\) 2.61611e42 + 9.63961e41i 0.0342021 + 0.0126025i
\(554\) 9.64764e43i 1.22536i
\(555\) 1.33579e43 3.08322e43i 0.164835 0.380466i
\(556\) −1.82963e44 3.16900e44i −2.19364 3.79950i
\(557\) 6.07986e43 3.51021e43i 0.708289 0.408931i −0.102138 0.994770i \(-0.532568\pi\)
0.810427 + 0.585839i \(0.199235\pi\)
\(558\) 5.92536e43 + 1.79449e43i 0.670760 + 0.203139i
\(559\) 7.30183e43 0.803235
\(560\) 6.74377e43 + 8.10200e43i 0.720932 + 0.866132i
\(561\) 1.49078e43 + 1.29327e44i 0.154884 + 1.34364i
\(562\) 3.60891e43 6.25081e43i 0.364414 0.631183i
\(563\) −7.31414e43 + 4.22282e43i −0.717842 + 0.414446i −0.813958 0.580924i \(-0.802691\pi\)
0.0961157 + 0.995370i \(0.469358\pi\)
\(564\) −4.87756e43 6.57350e43i −0.465304 0.627092i
\(565\) −1.16045e43 + 2.00996e43i −0.107610 + 0.186386i
\(566\) 1.52395e44i 1.37375i
\(567\) −4.62771e43 + 1.04306e44i −0.405544 + 0.914076i
\(568\) 5.60685e44 4.77690
\(569\) 1.64251e44 + 9.48305e43i 1.36054 + 0.785510i 0.989696 0.143184i \(-0.0457340\pi\)
0.370847 + 0.928694i \(0.379067\pi\)
\(570\) −4.12392e43 + 3.05997e43i −0.332134 + 0.246444i
\(571\) 8.75434e43 + 1.51630e44i 0.685560 + 1.18743i 0.973260 + 0.229705i \(0.0737761\pi\)
−0.287700 + 0.957721i \(0.592891\pi\)
\(572\) −6.84999e44 3.95484e44i −5.21619 3.01157i
\(573\) −2.24101e44 + 2.58325e43i −1.65947 + 0.191290i
\(574\) 3.81611e44 + 1.40613e44i 2.74809 + 1.01259i
\(575\) 9.03523e43i 0.632781i
\(576\) −1.04974e44 + 3.46621e44i −0.715025 + 2.36099i
\(577\) −5.28498e43 9.15386e43i −0.350131 0.606445i 0.636141 0.771573i \(-0.280530\pi\)
−0.986272 + 0.165128i \(0.947196\pi\)
\(578\) 1.31023e44 7.56460e43i 0.844309 0.487462i
\(579\) 7.27771e43 + 3.15303e43i 0.456181 + 0.197638i
\(580\) −9.75891e43 −0.595050
\(581\) −2.36813e44 + 4.07881e43i −1.40471 + 0.241944i
\(582\) 3.53991e44 4.08051e43i 2.04279 0.235476i
\(583\) −2.00242e44 + 3.46830e44i −1.12424 + 1.94724i
\(584\) −5.05855e44 + 2.92055e44i −2.76325 + 1.59536i
\(585\) −5.83408e43 + 5.46921e43i −0.310084 + 0.290690i
\(586\) 1.22920e44 2.12904e44i 0.635713 1.10109i
\(587\) 2.81543e44i 1.41689i 0.705768 + 0.708443i \(0.250602\pi\)
−0.705768 + 0.708443i \(0.749398\pi\)
\(588\) 5.29931e44 + 3.59345e43i 2.59527 + 0.175985i
\(589\) 4.74329e43 0.226066
\(590\) −1.79939e42 1.03888e42i −0.00834629 0.00481873i
\(591\) 1.30574e44 + 1.75975e44i 0.589464 + 0.794421i
\(592\) −4.19456e44 7.26519e44i −1.84306 3.19227i
\(593\) −2.76847e44 1.59838e44i −1.18404 0.683604i −0.227092 0.973873i \(-0.572922\pi\)
−0.956945 + 0.290269i \(0.906255\pi\)
\(594\) −2.98430e44 8.32262e44i −1.24239 3.46479i
\(595\) −1.03987e43 6.03742e43i −0.0421412 0.244670i
\(596\) 6.98757e44i 2.75668i
\(597\) −3.00211e44 1.30065e44i −1.15302 0.499542i
\(598\) −2.19514e44 3.80209e44i −0.820811 1.42169i
\(599\) 3.43007e44 1.98035e44i 1.24875 0.720964i 0.277886 0.960614i \(-0.410366\pi\)
0.970859 + 0.239650i \(0.0770328\pi\)
\(600\) 2.97584e44 6.86873e44i 1.05485 2.43476i
\(601\) 4.90679e44 1.69358 0.846790 0.531928i \(-0.178532\pi\)
0.846790 + 0.531928i \(0.178532\pi\)
\(602\) 1.31354e44 3.56483e44i 0.441468 1.19811i
\(603\) 7.19697e43 1.68156e43i 0.235544 0.0550344i
\(604\) −2.48774e44 + 4.30889e44i −0.792892 + 1.37333i
\(605\) 2.74383e44 1.58415e44i 0.851671 0.491712i
\(606\) 4.18264e44 3.10353e44i 1.26441 0.938198i
\(607\) −3.39880e43 + 5.88689e43i −0.100070 + 0.173327i −0.911714 0.410827i \(-0.865240\pi\)
0.811643 + 0.584154i \(0.198573\pi\)
\(608\) 6.33484e44i 1.81668i
\(609\) −1.58774e44 + 1.66427e44i −0.443509 + 0.464887i
\(610\) 3.77963e44 1.02842
\(611\) −1.17089e44 6.76013e43i −0.310353 0.179183i
\(612\) 5.12496e44 4.80443e44i 1.32333 1.24056i
\(613\) 2.36463e43 + 4.09565e43i 0.0594833 + 0.103028i 0.894234 0.447601i \(-0.147721\pi\)
−0.834750 + 0.550629i \(0.814388\pi\)
\(614\) 4.22527e44 + 2.43946e44i 1.03553 + 0.597861i
\(615\) 2.63514e43 + 2.28603e44i 0.0629219 + 0.545858i
\(616\) −1.94707e45 + 1.62066e45i −4.52991 + 3.77051i
\(617\) 2.46748e44i 0.559359i −0.960093 0.279679i \(-0.909772\pi\)
0.960093 0.279679i \(-0.0902282\pi\)
\(618\) −1.86480e43 + 4.30425e43i −0.0411923 + 0.0950785i
\(619\) −3.50475e44 6.07041e44i −0.754409 1.30667i −0.945668 0.325135i \(-0.894590\pi\)
0.191259 0.981540i \(-0.438743\pi\)
\(620\) 1.41211e44 8.15281e43i 0.296211 0.171017i
\(621\) 6.32188e43 3.48793e44i 0.129235 0.713021i
\(622\) −5.03262e44 −1.00265
\(623\) −1.60010e44 + 4.34253e44i −0.310698 + 0.843208i
\(624\) 2.28629e44 + 1.98339e45i 0.432690 + 3.75366i
\(625\) −1.72329e44 + 2.98482e44i −0.317891 + 0.550603i
\(626\) 1.06368e45 6.14118e44i 1.91260 1.10424i
\(627\) −4.03642e44 5.43990e44i −0.707483 0.953476i
\(628\) −1.98110e44 + 3.43137e44i −0.338495 + 0.586290i
\(629\) 4.87549e44i 0.812097i
\(630\) 1.62062e44 + 3.83213e44i 0.263168 + 0.622288i
\(631\) −7.94383e44 −1.25765 −0.628825 0.777547i \(-0.716464\pi\)
−0.628825 + 0.777547i \(0.716464\pi\)
\(632\) 6.21413e43 + 3.58773e43i 0.0959195 + 0.0553792i
\(633\) −8.63474e44 + 6.40701e44i −1.29954 + 0.964264i
\(634\) −2.92666e44 5.06912e44i −0.429481 0.743882i
\(635\) 8.61184e42 + 4.97205e42i 0.0123230 + 0.00711468i
\(636\) 2.14683e45 2.47468e44i 2.99560 0.345307i
\(637\) 8.26767e44 2.93507e44i 1.12500 0.399381i
\(638\) 1.78219e45i 2.36495i
\(639\) 1.16259e45 + 3.52090e44i 1.50457 + 0.455658i
\(640\) 2.41681e44 + 4.18603e44i 0.305044 + 0.528352i
\(641\) −2.91622e44 + 1.68368e44i −0.358998 + 0.207268i −0.668641 0.743585i \(-0.733124\pi\)
0.309643 + 0.950853i \(0.399790\pi\)
\(642\) −2.80686e44 1.21606e44i −0.337024 0.146014i
\(643\) −7.15261e44 −0.837701 −0.418850 0.908055i \(-0.637567\pi\)
−0.418850 + 0.908055i \(0.637567\pi\)
\(644\) −1.62602e45 + 2.80061e44i −1.85760 + 0.319947i
\(645\) 2.13550e44 2.46163e43i 0.237982 0.0274326i
\(646\) 3.72552e44 6.45278e44i 0.405010 0.701499i
\(647\) −1.45112e45 + 8.37802e44i −1.53898 + 0.888532i −0.540083 + 0.841612i \(0.681607\pi\)
−0.998899 + 0.0469201i \(0.985059\pi\)
\(648\) −1.62939e45 + 2.44336e45i −1.68587 + 2.52806i
\(649\) 1.37039e43 2.37359e43i 0.0138334 0.0239602i
\(650\) 2.00862e45i 1.97827i
\(651\) 9.07079e43 3.73462e44i 0.0871665 0.358881i
\(652\) 4.58369e45 4.29787
\(653\) 1.28038e45 + 7.39226e44i 1.17146 + 0.676342i 0.954023 0.299733i \(-0.0968976\pi\)
0.217435 + 0.976075i \(0.430231\pi\)
\(654\) 4.26114e44 + 5.74275e44i 0.380436 + 0.512715i
\(655\) 1.39273e44 + 2.41228e44i 0.121341 + 0.210168i
\(656\) 4.97550e45 + 2.87261e45i 4.23034 + 2.44239i
\(657\) −1.23230e45 + 2.87924e44i −1.02252 + 0.238908i
\(658\) −5.40671e44 + 4.50032e44i −0.437843 + 0.364442i
\(659\) 9.90053e44i 0.782513i −0.920282 0.391257i \(-0.872040\pi\)
0.920282 0.391257i \(-0.127960\pi\)
\(660\) −2.13668e45 9.25708e44i −1.64830 0.714120i
\(661\) −7.58119e44 1.31310e45i −0.570840 0.988723i −0.996480 0.0838309i \(-0.973284\pi\)
0.425640 0.904892i \(-0.360049\pi\)
\(662\) 2.31436e45 1.33620e45i 1.70100 0.982072i
\(663\) 4.61272e44 1.06469e45i 0.330933 0.763847i
\(664\) −6.18448e45 −4.33126
\(665\) 2.03932e44 + 2.45005e44i 0.139424 + 0.167505i
\(666\) −7.53368e44 3.22437e45i −0.502828 2.15208i
\(667\) 3.57260e44 6.18793e44i 0.232794 0.403211i
\(668\) −4.24770e44 + 2.45241e44i −0.270228 + 0.156016i
\(669\) −1.84159e44 + 1.36647e44i −0.114387 + 0.0848754i
\(670\) 1.34742e44 2.33380e44i 0.0817157 0.141536i
\(671\) 4.98573e45i 2.95236i
\(672\) 4.98772e45 + 1.21144e45i 2.88399 + 0.700475i
\(673\) 2.63503e45 1.48780 0.743900 0.668291i \(-0.232974\pi\)
0.743900 + 0.668291i \(0.232974\pi\)
\(674\) −1.02404e45 5.91231e44i −0.564625 0.325986i
\(675\) 1.04838e45 1.23737e45i 0.564491 0.666253i
\(676\) 1.05151e45 + 1.82128e45i 0.552927 + 0.957698i
\(677\) 2.64736e45 + 1.52846e45i 1.35955 + 0.784936i 0.989563 0.144101i \(-0.0460289\pi\)
0.369987 + 0.929037i \(0.379362\pi\)
\(678\) 2.61905e44 + 2.27207e45i 0.131362 + 1.13958i
\(679\) −3.75457e44 2.17989e45i −0.183927 1.06787i
\(680\) 1.57670e45i 0.754407i
\(681\) 1.05009e45 2.42377e45i 0.490762 1.13276i
\(682\) 1.48888e45 + 2.57882e45i 0.679689 + 1.17726i
\(683\) −1.92172e45 + 1.10951e45i −0.856959 + 0.494765i −0.862993 0.505216i \(-0.831413\pi\)
0.00603392 + 0.999982i \(0.498079\pi\)
\(684\) −1.05946e45 + 3.49831e45i −0.461516 + 1.52392i
\(685\) −8.63341e44 −0.367395
\(686\) 5.43532e43 4.56436e45i 0.0225964 1.89755i
\(687\) −1.39185e44 1.20746e45i −0.0565309 0.490415i
\(688\) 2.68346e45 4.64788e45i 1.06483 1.84434i
\(689\) 3.09127e45 1.78474e45i 1.19848 0.691940i
\(690\) −7.70172e44 1.03796e45i −0.291744 0.393184i
\(691\) 3.31160e44 5.73586e44i 0.122571 0.212300i −0.798210 0.602380i \(-0.794219\pi\)
0.920781 + 0.390080i \(0.127553\pi\)
\(692\) 1.06966e46i 3.86855i
\(693\) −5.05499e45 + 2.13778e45i −1.78644 + 0.755493i
\(694\) −3.99952e45 −1.38120
\(695\) −1.54099e45 8.89692e44i −0.520048 0.300250i
\(696\) −4.75401e45 + 3.52749e45i −1.56788 + 1.16337i
\(697\) −1.66947e45 2.89160e45i −0.538089 0.931997i
\(698\) −4.50433e45 2.60058e45i −1.41887 0.819187i
\(699\) −2.69557e45 + 3.10723e44i −0.829881 + 0.0956617i
\(700\) −7.08327e45 2.60998e45i −2.13140 0.785361i
\(701\) 2.95880e45i 0.870217i 0.900378 + 0.435109i \(0.143290\pi\)
−0.900378 + 0.435109i \(0.856710\pi\)
\(702\) −1.40542e45 + 7.75402e45i −0.404028 + 2.22912i
\(703\) −1.26843e45 2.19699e45i −0.356437 0.617367i
\(704\) −1.50855e46 + 8.70964e45i −4.14379 + 2.39242i
\(705\) −3.65230e44 1.58234e44i −0.0980709 0.0424888i
\(706\) 5.43080e45 1.42557
\(707\) −2.06835e45 2.48493e45i −0.530779 0.637681i
\(708\) −1.46922e44 + 1.69359e43i −0.0368599 + 0.00424890i
\(709\) −1.62070e44 + 2.80713e44i −0.0397523 + 0.0688530i −0.885217 0.465178i \(-0.845990\pi\)
0.845465 + 0.534031i \(0.179324\pi\)
\(710\) 3.83577e45 2.21458e45i 0.919855 0.531078i
\(711\) 1.06321e44 + 1.13415e44i 0.0249291 + 0.0265923i
\(712\) −5.95535e45 + 1.03150e46i −1.36530 + 2.36477i
\(713\) 1.19385e45i 0.267620i
\(714\) −4.36814e45 4.16727e45i −0.957470 0.913440i
\(715\) −3.84624e45 −0.824403
\(716\) 1.54557e45 + 8.92336e44i 0.323952 + 0.187034i
\(717\) 3.15504e45 + 4.25205e45i 0.646693 + 0.871549i
\(718\) −1.27824e45 2.21398e45i −0.256225 0.443795i
\(719\) 1.75720e45 + 1.01452e45i 0.344477 + 0.198884i 0.662250 0.749283i \(-0.269602\pi\)
−0.317773 + 0.948167i \(0.602935\pi\)
\(720\) 1.33730e45 + 5.72357e45i 0.256395 + 1.09736i
\(721\) 2.73231e44 + 1.00678e44i 0.0512348 + 0.0188786i
\(722\) 6.47014e45i 1.18664i
\(723\) 2.19010e45 + 9.48849e44i 0.392872 + 0.170210i
\(724\) −3.18875e45 5.52309e45i −0.559505 0.969091i
\(725\) 2.83107e45 1.63452e45i 0.485896 0.280532i
\(726\) 1.24119e46 2.86486e46i 2.08378 4.80969i
\(727\) 9.99126e45 1.64085 0.820426 0.571752i \(-0.193736\pi\)
0.820426 + 0.571752i \(0.193736\pi\)
\(728\) 2.22515e46 3.83253e45i 3.57484 0.615720i
\(729\) −4.91290e45 + 4.04316e45i −0.772143 + 0.635449i
\(730\) −2.30711e45 + 3.99603e45i −0.354734 + 0.614417i
\(731\) −2.70120e45 + 1.55954e45i −0.406330 + 0.234595i
\(732\) 2.16053e46 1.60312e46i 3.17968 2.35933i
\(733\) −4.36257e45 + 7.55619e45i −0.628172 + 1.08803i 0.359747 + 0.933050i \(0.382863\pi\)
−0.987918 + 0.154975i \(0.950470\pi\)
\(734\) 1.08401e46i 1.52720i
\(735\) 2.31902e45 1.13712e45i 0.319674 0.156750i
\(736\) −1.59443e46 −2.15061
\(737\) 3.07853e45 + 1.77739e45i 0.406315 + 0.234586i
\(738\) 1.55091e46 + 1.65438e46i 2.00301 + 2.13665i
\(739\) 2.93827e45 + 5.08923e45i 0.371347 + 0.643192i 0.989773 0.142651i \(-0.0455626\pi\)
−0.618426 + 0.785843i \(0.712229\pi\)
\(740\)