Properties

Label 21.33.h.b.2.8
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 2.8
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-95187.3 - 54956.4i) q^{2} +(-6.01559e6 + 4.26243e7i) q^{3} +(3.89294e9 + 6.74277e9i) q^{4} +(9.27499e10 + 5.35492e10i) q^{5} +(2.91509e12 - 3.72670e12i) q^{6} +(3.32287e13 - 5.30154e11i) q^{7} -3.83696e14i q^{8} +(-1.78065e15 - 5.12821e14i) q^{9} +O(q^{10})\) \(q+(-95187.3 - 54956.4i) q^{2} +(-6.01559e6 + 4.26243e7i) q^{3} +(3.89294e9 + 6.74277e9i) q^{4} +(9.27499e10 + 5.35492e10i) q^{5} +(2.91509e12 - 3.72670e12i) q^{6} +(3.32287e13 - 5.30154e11i) q^{7} -3.83696e14i q^{8} +(-1.78065e15 - 5.12821e14i) q^{9} +(-5.88575e15 - 1.01944e16i) q^{10} +(-6.71155e16 + 3.87492e16i) q^{11} +(-3.10824e17 + 1.25372e17i) q^{12} -4.02763e17 q^{13} +(-3.19209e18 - 1.77567e18i) q^{14} +(-2.84044e18 + 3.63127e18i) q^{15} +(-4.36651e18 + 7.56302e18i) q^{16} +(-2.29470e19 + 1.32485e19i) q^{17} +(1.41312e20 + 1.46672e20i) q^{18} +(-8.35516e18 + 1.44716e19i) q^{19} +8.33855e20i q^{20} +(-1.77293e20 + 1.41954e21i) q^{21} +8.51807e21 q^{22} +(-6.01734e21 - 3.47411e21i) q^{23} +(1.63548e22 + 2.30815e21i) q^{24} +(-5.90650e21 - 1.02304e22i) q^{25} +(3.83379e22 + 2.21344e22i) q^{26} +(3.25703e22 - 7.28139e22i) q^{27} +(1.32932e23 + 2.21989e23i) q^{28} +6.50276e22i q^{29} +(4.69936e23 - 1.89551e23i) q^{30} +(-2.72080e23 - 4.71256e23i) q^{31} +(-5.95902e23 + 3.44044e23i) q^{32} +(-1.24792e24 - 3.09385e24i) q^{33} +2.91236e24 q^{34} +(3.11035e24 + 1.73020e24i) q^{35} +(-3.47411e24 - 1.40029e25i) q^{36} +(4.65526e24 - 8.06315e24i) q^{37} +(1.59061e24 - 9.18340e23i) q^{38} +(2.42286e24 - 1.71675e25i) q^{39} +(2.05466e25 - 3.55877e25i) q^{40} -3.01193e25i q^{41} +(9.48889e25 - 1.25379e26i) q^{42} +1.76543e26 q^{43} +(-5.22553e26 - 3.01696e26i) q^{44} +(-1.37694e26 - 1.42916e26i) q^{45} +(3.81850e26 + 6.61383e26i) q^{46} +(4.45623e25 + 2.57281e25i) q^{47} +(-2.96101e26 - 2.31616e26i) q^{48} +(1.10387e27 - 3.52327e25i) q^{49} +1.29840e27i q^{50} +(-4.26668e26 - 1.05780e27i) q^{51} +(-1.56793e27 - 2.71574e27i) q^{52} +(2.11952e27 - 1.22371e27i) q^{53} +(-7.10187e27 + 5.14102e27i) q^{54} -8.29995e27 q^{55} +(-2.03418e26 - 1.27497e28i) q^{56} +(-5.66580e26 - 4.43188e26i) q^{57} +(3.57369e27 - 6.18981e27i) q^{58} +(2.20062e28 - 1.27053e28i) q^{59} +(-3.55425e28 - 5.01612e27i) q^{60} +(-2.70785e28 + 4.69013e28i) q^{61} +5.98102e28i q^{62} +(-5.94404e28 - 1.60963e28i) q^{63} +1.13138e29 q^{64} +(-3.73562e28 - 2.15676e28i) q^{65} +(-5.12412e28 + 3.63077e29i) q^{66} +(-2.65256e28 - 4.59437e28i) q^{67} +(-1.78663e29 - 1.03151e29i) q^{68} +(1.84279e29 - 2.35586e29i) q^{69} +(-2.00980e29 - 3.35627e29i) q^{70} -5.86707e29i q^{71} +(-1.96767e29 + 6.83226e29i) q^{72} +(2.81026e29 + 4.86752e29i) q^{73} +(-8.86244e29 + 5.11673e29i) q^{74} +(4.71593e29 - 1.90219e29i) q^{75} -1.30105e29 q^{76} +(-2.20962e30 + 1.32317e30i) q^{77} +(-1.17409e30 + 1.50098e30i) q^{78} +(-1.28330e30 + 2.22273e30i) q^{79} +(-8.09987e29 + 4.67646e29i) q^{80} +(2.90771e30 + 1.82630e30i) q^{81} +(-1.65525e30 + 2.86698e30i) q^{82} +7.99209e30i q^{83} +(-1.02618e31 + 4.33074e30i) q^{84} -2.83778e30 q^{85} +(-1.68047e31 - 9.70219e30i) q^{86} +(-2.77176e30 - 3.91179e29i) q^{87} +(1.48679e31 + 2.57519e31i) q^{88} +(-1.68342e31 - 9.71923e30i) q^{89} +(5.25253e30 + 2.11710e31i) q^{90} +(-1.33833e31 + 2.13527e29i) q^{91} -5.40980e31i q^{92} +(2.17237e31 - 8.76234e30i) q^{93} +(-2.82785e30 - 4.89798e30i) q^{94} +(-1.54988e30 + 8.94825e29i) q^{95} +(-1.10800e31 - 2.74696e31i) q^{96} -6.43813e31 q^{97} +(-1.07010e32 - 5.73108e31i) q^{98} +(1.39380e32 - 3.45803e31i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −95187.3 54956.4i −1.45244 0.838569i −0.453824 0.891091i \(-0.649941\pi\)
−0.998620 + 0.0525226i \(0.983274\pi\)
\(3\) −6.01559e6 + 4.26243e7i −0.139745 + 0.990187i
\(4\) 3.89294e9 + 6.74277e9i 0.906395 + 1.56992i
\(5\) 9.27499e10 + 5.35492e10i 0.607846 + 0.350940i 0.772122 0.635474i \(-0.219195\pi\)
−0.164276 + 0.986414i \(0.552529\pi\)
\(6\) 2.91509e12 3.72670e12i 1.03331 1.32101i
\(7\) 3.32287e13 5.30154e11i 0.999873 0.0159527i
\(8\) 3.83696e14i 1.36316i
\(9\) −1.78065e15 5.12821e14i −0.960942 0.276748i
\(10\) −5.88575e15 1.01944e16i −0.588575 1.01944i
\(11\) −6.71155e16 + 3.87492e16i −1.46063 + 0.843295i −0.999040 0.0437990i \(-0.986054\pi\)
−0.461589 + 0.887094i \(0.652721\pi\)
\(12\) −3.10824e17 + 1.25372e17i −1.68118 + 0.678111i
\(13\) −4.02763e17 −0.605280 −0.302640 0.953105i \(-0.597868\pi\)
−0.302640 + 0.953105i \(0.597868\pi\)
\(14\) −3.19209e18 1.77567e18i −1.46564 0.815292i
\(15\) −2.84044e18 + 3.63127e18i −0.432440 + 0.552839i
\(16\) −4.36651e18 + 7.56302e18i −0.236709 + 0.409992i
\(17\) −2.29470e19 + 1.32485e19i −0.471568 + 0.272260i −0.716896 0.697180i \(-0.754438\pi\)
0.245328 + 0.969440i \(0.421104\pi\)
\(18\) 1.41312e20 + 1.46672e20i 1.16364 + 1.20778i
\(19\) −8.35516e18 + 1.44716e19i −0.0289666 + 0.0501716i −0.880145 0.474704i \(-0.842555\pi\)
0.851179 + 0.524876i \(0.175888\pi\)
\(20\) 8.33855e20i 1.27236i
\(21\) −1.77293e20 + 1.41954e21i −0.123932 + 0.992291i
\(22\) 8.51807e21 2.82864
\(23\) −6.01734e21 3.47411e21i −0.981203 0.566498i −0.0785701 0.996909i \(-0.525035\pi\)
−0.902633 + 0.430411i \(0.858369\pi\)
\(24\) 1.63548e22 + 2.30815e21i 1.34978 + 0.190496i
\(25\) −5.90650e21 1.02304e22i −0.253682 0.439391i
\(26\) 3.83379e22 + 2.21344e22i 0.879134 + 0.507569i
\(27\) 3.25703e22 7.28139e22i 0.408320 0.912839i
\(28\) 1.32932e23 + 2.21989e23i 0.931324 + 1.55526i
\(29\) 6.50276e22i 0.259854i 0.991524 + 0.129927i \(0.0414743\pi\)
−0.991524 + 0.129927i \(0.958526\pi\)
\(30\) 4.69936e23 1.89551e23i 1.09169 0.440337i
\(31\) −2.72080e23 4.71256e23i −0.374032 0.647843i 0.616149 0.787629i \(-0.288692\pi\)
−0.990182 + 0.139786i \(0.955358\pi\)
\(32\) −5.95902e23 + 3.44044e23i −0.492919 + 0.284587i
\(33\) −1.24792e24 3.09385e24i −0.630904 1.56414i
\(34\) 2.91236e24 0.913234
\(35\) 3.11035e24 + 1.73020e24i 0.613367 + 0.341199i
\(36\) −3.47411e24 1.40029e25i −0.436520 1.75945i
\(37\) 4.65526e24 8.06315e24i 0.377326 0.653548i −0.613346 0.789814i \(-0.710177\pi\)
0.990672 + 0.136267i \(0.0435103\pi\)
\(38\) 1.59061e24 9.18340e23i 0.0841447 0.0485810i
\(39\) 2.42286e24 1.71675e25i 0.0845851 0.599340i
\(40\) 2.05466e25 3.55877e25i 0.478388 0.828592i
\(41\) 3.01193e25i 0.472393i −0.971705 0.236196i \(-0.924099\pi\)
0.971705 0.236196i \(-0.0759008\pi\)
\(42\) 9.48889e25 1.25379e26i 1.01211 1.33732i
\(43\) 1.76543e26 1.29228 0.646139 0.763220i \(-0.276383\pi\)
0.646139 + 0.763220i \(0.276383\pi\)
\(44\) −5.22553e26 3.01696e26i −2.64781 1.52872i
\(45\) −1.37694e26 1.42916e26i −0.486983 0.505454i
\(46\) 3.81850e26 + 6.61383e26i 0.950095 + 1.64561i
\(47\) 4.45623e25 + 2.57281e25i 0.0785963 + 0.0453776i 0.538783 0.842445i \(-0.318884\pi\)
−0.460187 + 0.887822i \(0.652218\pi\)
\(48\) −2.96101e26 2.31616e26i −0.372890 0.291681i
\(49\) 1.10387e27 3.52327e25i 0.999491 0.0319013i
\(50\) 1.29840e27i 0.850920i
\(51\) −4.26668e26 1.05780e27i −0.203689 0.504988i
\(52\) −1.56793e27 2.71574e27i −0.548622 0.950242i
\(53\) 2.11952e27 1.22371e27i 0.546795 0.315692i −0.201033 0.979584i \(-0.564430\pi\)
0.747828 + 0.663892i \(0.231097\pi\)
\(54\) −7.10187e27 + 5.14102e27i −1.35854 + 0.983442i
\(55\) −8.29995e27 −1.18378
\(56\) −2.03418e26 1.27497e28i −0.0217461 1.36299i
\(57\) −5.66580e26 4.43188e26i −0.0456313 0.0356936i
\(58\) 3.57369e27 6.18981e27i 0.217906 0.377424i
\(59\) 2.20062e28 1.27053e28i 1.02073 0.589321i 0.106418 0.994322i \(-0.466062\pi\)
0.914317 + 0.405000i \(0.132729\pi\)
\(60\) −3.55425e28 5.01612e27i −1.25988 0.177807i
\(61\) −2.70785e28 + 4.69013e28i −0.736796 + 1.27617i 0.217135 + 0.976142i \(0.430329\pi\)
−0.953931 + 0.300027i \(0.903004\pi\)
\(62\) 5.98102e28i 1.25461i
\(63\) −5.94404e28 1.60963e28i −0.965235 0.261384i
\(64\) 1.13138e29 1.42800
\(65\) −3.73562e28 2.15676e28i −0.367917 0.212417i
\(66\) −5.12412e28 + 3.63077e29i −0.395290 + 2.80089i
\(67\) −2.65256e28 4.59437e28i −0.160867 0.278631i 0.774313 0.632803i \(-0.218096\pi\)
−0.935180 + 0.354173i \(0.884762\pi\)
\(68\) −1.78663e29 1.03151e29i −0.854853 0.493550i
\(69\) 1.84279e29 2.35586e29i 0.698058 0.892410i
\(70\) −2.00980e29 3.35627e29i −0.604763 1.00992i
\(71\) 5.86707e29i 1.40698i −0.710706 0.703489i \(-0.751624\pi\)
0.710706 0.703489i \(-0.248376\pi\)
\(72\) −1.96767e29 + 6.83226e29i −0.377253 + 1.30992i
\(73\) 2.81026e29 + 4.86752e29i 0.432097 + 0.748414i 0.997054 0.0767067i \(-0.0244405\pi\)
−0.564957 + 0.825120i \(0.691107\pi\)
\(74\) −8.86244e29 + 5.11673e29i −1.09609 + 0.632827i
\(75\) 4.71593e29 1.90219e29i 0.470530 0.189790i
\(76\) −1.30105e29 −0.105021
\(77\) −2.20962e30 + 1.32317e30i −1.44699 + 0.866489i
\(78\) −1.17409e30 + 1.50098e30i −0.625443 + 0.799577i
\(79\) −1.28330e30 + 2.22273e30i −0.557562 + 0.965726i 0.440137 + 0.897930i \(0.354930\pi\)
−0.997699 + 0.0677951i \(0.978404\pi\)
\(80\) −8.09987e29 + 4.67646e29i −0.287765 + 0.166141i
\(81\) 2.90771e30 + 1.82630e30i 0.846821 + 0.531879i
\(82\) −1.65525e30 + 2.86698e30i −0.396134 + 0.686124i
\(83\) 7.99209e30i 1.57547i 0.616013 + 0.787736i \(0.288747\pi\)
−0.616013 + 0.787736i \(0.711253\pi\)
\(84\) −1.02618e31 + 4.33074e30i −1.67015 + 0.704845i
\(85\) −2.83778e30 −0.382187
\(86\) −1.68047e31 9.70219e30i −1.87696 1.08366i
\(87\) −2.77176e30 3.91179e29i −0.257304 0.0363135i
\(88\) 1.48679e31 + 2.57519e31i 1.14955 + 1.99107i
\(89\) −1.68342e31 9.71923e30i −1.08631 0.627180i −0.153716 0.988115i \(-0.549124\pi\)
−0.932591 + 0.360936i \(0.882457\pi\)
\(90\) 5.25253e30 + 2.11710e31i 0.283458 + 1.14251i
\(91\) −1.33833e31 + 2.13527e29i −0.605203 + 0.00965583i
\(92\) 5.40980e31i 2.05388i
\(93\) 2.17237e31 8.76234e30i 0.693756 0.279829i
\(94\) −2.82785e30 4.89798e30i −0.0761045 0.131817i
\(95\) −1.54988e30 + 8.94825e29i −0.0352144 + 0.0203311i
\(96\) −1.10800e31 2.74696e31i −0.212911 0.527852i
\(97\) −6.43813e31 −1.04812 −0.524061 0.851681i \(-0.675584\pi\)
−0.524061 + 0.851681i \(0.675584\pi\)
\(98\) −1.07010e32 5.73108e31i −1.47846 0.791807i
\(99\) 1.39380e32 3.45803e31i 1.63696 0.406131i
\(100\) 4.59873e31 7.96523e31i 0.459873 0.796523i
\(101\) 1.59491e32 9.20824e31i 1.36018 0.785298i 0.370529 0.928821i \(-0.379176\pi\)
0.989647 + 0.143522i \(0.0458429\pi\)
\(102\) −1.75195e31 + 1.24137e32i −0.127620 + 0.904273i
\(103\) 9.66886e31 1.67470e32i 0.602532 1.04362i −0.389905 0.920855i \(-0.627492\pi\)
0.992436 0.122760i \(-0.0391746\pi\)
\(104\) 1.54538e32i 0.825093i
\(105\) −9.24591e31 + 1.22168e32i −0.423566 + 0.559667i
\(106\) −2.69003e32 −1.05892
\(107\) 4.57668e32 + 2.64235e32i 1.55028 + 0.895055i 0.998118 + 0.0613177i \(0.0195303\pi\)
0.552162 + 0.833737i \(0.313803\pi\)
\(108\) 6.17761e32 6.38464e31i 1.80319 0.186362i
\(109\) −1.87201e32 3.24242e32i −0.471503 0.816668i 0.527965 0.849266i \(-0.322955\pi\)
−0.999469 + 0.0325982i \(0.989622\pi\)
\(110\) 7.90050e32 + 4.56136e32i 1.71938 + 0.992684i
\(111\) 3.15682e32 + 2.46932e32i 0.594405 + 0.464954i
\(112\) −1.41084e32 + 2.53624e32i −0.230138 + 0.413716i
\(113\) 1.85334e32i 0.262241i −0.991366 0.131121i \(-0.958142\pi\)
0.991366 0.131121i \(-0.0418575\pi\)
\(114\) 2.95752e31 + 7.33231e31i 0.0363454 + 0.0901080i
\(115\) −3.72072e32 6.44447e32i −0.397614 0.688687i
\(116\) −4.38466e32 + 2.53148e32i −0.407951 + 0.235531i
\(117\) 7.17178e32 + 2.06545e32i 0.581639 + 0.167510i
\(118\) −2.79295e33 −1.97675
\(119\) −7.55477e32 + 4.52395e32i −0.467164 + 0.279748i
\(120\) 1.39330e33 + 1.08987e33i 0.753609 + 0.589485i
\(121\) 1.94731e33 3.37284e33i 0.922292 1.59746i
\(122\) 5.15506e33 2.97628e33i 2.14031 1.23571i
\(123\) 1.28381e33 + 1.81185e32i 0.467757 + 0.0660147i
\(124\) 2.11838e33 3.66914e33i 0.678042 1.17440i
\(125\) 3.75873e33i 1.05799i
\(126\) 4.77338e33 + 4.79880e33i 1.18276 + 1.18906i
\(127\) −4.00863e32 −0.0875260 −0.0437630 0.999042i \(-0.513935\pi\)
−0.0437630 + 0.999042i \(0.513935\pi\)
\(128\) −8.20991e33 4.74000e33i −1.58117 0.912890i
\(129\) −1.06201e33 + 7.52504e33i −0.180590 + 1.27960i
\(130\) 2.37056e33 + 4.10593e33i 0.356252 + 0.617047i
\(131\) −1.31394e33 7.58606e32i −0.174677 0.100850i 0.410112 0.912035i \(-0.365490\pi\)
−0.584789 + 0.811185i \(0.698823\pi\)
\(132\) 1.60031e34 2.04586e34i 1.88374 2.40820i
\(133\) −2.69959e32 + 4.85301e32i −0.0281625 + 0.0506273i
\(134\) 5.83101e33i 0.539594i
\(135\) 6.92001e33 5.00937e33i 0.568547 0.411569i
\(136\) 5.08339e33 + 8.80468e33i 0.371134 + 0.642823i
\(137\) −1.95483e34 + 1.12862e34i −1.26935 + 0.732859i −0.974865 0.222798i \(-0.928481\pi\)
−0.294484 + 0.955656i \(0.595148\pi\)
\(138\) −3.04881e34 + 1.22975e34i −1.76224 + 0.710805i
\(139\) −3.04812e34 −1.56962 −0.784811 0.619735i \(-0.787240\pi\)
−0.784811 + 0.619735i \(0.787240\pi\)
\(140\) 4.42072e32 + 2.77079e34i 0.0202976 + 1.27220i
\(141\) −1.36471e33 + 1.74467e33i −0.0559158 + 0.0714838i
\(142\) −3.22433e34 + 5.58471e34i −1.17985 + 2.04356i
\(143\) 2.70317e34 1.56067e34i 0.884089 0.510429i
\(144\) 1.16537e34 1.12278e34i 0.340928 0.328470i
\(145\) −3.48218e33 + 6.03131e33i −0.0911933 + 0.157951i
\(146\) 6.17768e34i 1.44937i
\(147\) −5.13863e33 + 4.72635e34i −0.108086 + 0.994142i
\(148\) 7.24906e34 1.36803
\(149\) 5.51676e34 + 3.18510e34i 0.934768 + 0.539689i 0.888316 0.459232i \(-0.151875\pi\)
0.0464517 + 0.998921i \(0.485209\pi\)
\(150\) −5.53435e34 7.81064e33i −0.842570 0.118912i
\(151\) 4.39506e34 + 7.61247e34i 0.601636 + 1.04206i 0.992573 + 0.121647i \(0.0388175\pi\)
−0.390938 + 0.920417i \(0.627849\pi\)
\(152\) 5.55268e33 + 3.20584e33i 0.0683920 + 0.0394861i
\(153\) 4.76547e34 1.18231e34i 0.528497 0.131120i
\(154\) 2.83044e35 4.51589e33i 2.82828 0.0451244i
\(155\) 5.82786e34i 0.525052i
\(156\) 1.25188e35 5.04953e34i 1.01759 0.410447i
\(157\) 9.17499e34 + 1.58916e35i 0.673304 + 1.16620i 0.976962 + 0.213415i \(0.0684588\pi\)
−0.303658 + 0.952781i \(0.598208\pi\)
\(158\) 2.44307e35 1.41051e35i 1.61965 0.935108i
\(159\) 3.94096e34 + 9.77046e34i 0.236182 + 0.585546i
\(160\) −7.36932e34 −0.399492
\(161\) −2.01790e35 1.12250e35i −0.990116 0.550773i
\(162\) −1.76410e35 3.33639e35i −0.783942 1.48264i
\(163\) 8.38113e34 1.45165e35i 0.337521 0.584604i −0.646445 0.762961i \(-0.723745\pi\)
0.983966 + 0.178357i \(0.0570782\pi\)
\(164\) 2.03087e35 1.17253e35i 0.741620 0.428174i
\(165\) 4.99290e34 3.53780e35i 0.165428 1.17217i
\(166\) 4.39217e35 7.60746e35i 1.32114 2.28829i
\(167\) 1.82900e35i 0.499748i −0.968278 0.249874i \(-0.919611\pi\)
0.968278 0.249874i \(-0.0803892\pi\)
\(168\) 5.44671e35 + 6.80264e34i 1.35265 + 0.168939i
\(169\) −2.80561e35 −0.633637
\(170\) 2.70121e35 + 1.55954e35i 0.555106 + 0.320490i
\(171\) 2.22989e34 2.14840e34i 0.0417201 0.0401956i
\(172\) 6.87272e35 + 1.19039e36i 1.17131 + 2.02878i
\(173\) 3.88745e35 + 2.24442e35i 0.603848 + 0.348632i 0.770554 0.637375i \(-0.219980\pi\)
−0.166706 + 0.986007i \(0.553313\pi\)
\(174\) 2.42338e35 + 1.89561e35i 0.343269 + 0.268511i
\(175\) −2.01689e35 3.36810e35i −0.260659 0.435288i
\(176\) 6.76795e35i 0.798462i
\(177\) 4.09174e35 + 1.01443e36i 0.440895 + 1.09307i
\(178\) 1.06827e36 + 1.85030e36i 1.05187 + 1.82189i
\(179\) −3.98413e35 + 2.30024e35i −0.358662 + 0.207073i −0.668494 0.743718i \(-0.733061\pi\)
0.309832 + 0.950791i \(0.399727\pi\)
\(180\) 4.27618e35 1.48480e36i 0.352124 1.22267i
\(181\) 1.67024e36 1.25870 0.629351 0.777121i \(-0.283321\pi\)
0.629351 + 0.777121i \(0.283321\pi\)
\(182\) 1.28565e36 + 7.15173e35i 0.887120 + 0.493479i
\(183\) −1.83625e36 1.43634e36i −1.16068 0.907905i
\(184\) −1.33300e36 + 2.30883e36i −0.772228 + 1.33754i
\(185\) 8.63550e35 4.98571e35i 0.458712 0.264837i
\(186\) −2.54937e36 3.59793e35i −1.24230 0.175326i
\(187\) 1.02674e36 1.77836e36i 0.459191 0.795341i
\(188\) 4.00631e35i 0.164520i
\(189\) 1.04366e36 2.43678e36i 0.393706 0.919236i
\(190\) 1.96706e35 0.0681960
\(191\) −4.15454e36 2.39863e36i −1.32431 0.764590i −0.339896 0.940463i \(-0.610392\pi\)
−0.984413 + 0.175873i \(0.943725\pi\)
\(192\) −6.80590e35 + 4.82242e36i −0.199557 + 1.41399i
\(193\) −3.14530e36 5.44781e36i −0.848682 1.46996i −0.882385 0.470528i \(-0.844064\pi\)
0.0337037 0.999432i \(-0.489270\pi\)
\(194\) 6.12828e36 + 3.53816e36i 1.52234 + 0.878922i
\(195\) 1.14403e36 1.46254e36i 0.261747 0.334622i
\(196\) 4.53485e36 + 7.30595e36i 0.956016 + 1.54021i
\(197\) 4.49628e36i 0.873763i 0.899519 + 0.436881i \(0.143917\pi\)
−0.899519 + 0.436881i \(0.856083\pi\)
\(198\) −1.51677e37 4.36824e36i −2.71816 0.782823i
\(199\) 4.63021e36 + 8.01976e36i 0.765511 + 1.32590i 0.939976 + 0.341241i \(0.110847\pi\)
−0.174465 + 0.984663i \(0.555820\pi\)
\(200\) −3.92534e36 + 2.26630e36i −0.598960 + 0.345810i
\(201\) 2.11788e36 8.54257e35i 0.298377 0.120352i
\(202\) −2.02421e37 −2.63411
\(203\) 3.44747e34 + 2.16078e36i 0.00414537 + 0.259821i
\(204\) 5.47150e36 6.99487e36i 0.608169 0.777494i
\(205\) 1.61286e36 2.79356e36i 0.165781 0.287142i
\(206\) −1.84071e37 + 1.06273e37i −1.75029 + 1.01053i
\(207\) 8.93315e36 + 9.27198e36i 0.786102 + 0.815919i
\(208\) 1.75867e36 3.04610e36i 0.143275 0.248160i
\(209\) 1.29502e36i 0.0977095i
\(210\) 1.55149e37 6.54766e36i 1.08452 0.457696i
\(211\) −1.57118e37 −1.01790 −0.508952 0.860795i \(-0.669967\pi\)
−0.508952 + 0.860795i \(0.669967\pi\)
\(212\) 1.65024e37 + 9.52764e36i 0.991225 + 0.572284i
\(213\) 2.50080e37 + 3.52939e36i 1.39317 + 0.196619i
\(214\) −2.90428e37 5.03036e37i −1.50113 2.60003i
\(215\) 1.63744e37 + 9.45375e36i 0.785506 + 0.453512i
\(216\) −2.79384e37 1.24971e37i −1.24435 0.556606i
\(217\) −9.29070e36 1.55150e37i −0.384320 0.641794i
\(218\) 4.11517e37i 1.58155i
\(219\) −2.24380e37 + 9.05046e36i −0.801453 + 0.323269i
\(220\) −3.23112e37 5.59646e37i −1.07298 1.85845i
\(221\) 9.24222e36 5.33600e36i 0.285430 0.164793i
\(222\) −1.64785e37 4.08536e37i −0.473444 1.17377i
\(223\) 4.25484e37 1.13764 0.568821 0.822461i \(-0.307400\pi\)
0.568821 + 0.822461i \(0.307400\pi\)
\(224\) −1.96187e37 + 1.17481e37i −0.488316 + 0.292414i
\(225\) 5.27105e36 + 2.12456e37i 0.122173 + 0.492435i
\(226\) −1.01853e37 + 1.76415e37i −0.219907 + 0.380891i
\(227\) 3.54724e37 2.04800e37i 0.713636 0.412018i −0.0987700 0.995110i \(-0.531491\pi\)
0.812406 + 0.583093i \(0.198157\pi\)
\(228\) 7.82655e35 5.54562e36i 0.0146762 0.103990i
\(229\) 9.70048e35 1.68017e36i 0.0169600 0.0293756i −0.857421 0.514616i \(-0.827935\pi\)
0.874381 + 0.485240i \(0.161268\pi\)
\(230\) 8.17910e37i 1.33371i
\(231\) −4.31069e37 1.02143e38i −0.655776 1.55388i
\(232\) 2.49508e37 0.354223
\(233\) 1.12627e38 + 6.50253e37i 1.49262 + 0.861763i 0.999964 0.00846283i \(-0.00269383\pi\)
0.492653 + 0.870226i \(0.336027\pi\)
\(234\) −5.69153e37 5.90741e37i −0.704329 0.731043i
\(235\) 2.75544e36 + 4.77256e36i 0.0318496 + 0.0551652i
\(236\) 1.71337e38 + 9.89217e37i 1.85038 + 1.06832i
\(237\) −8.70227e37 6.80706e37i −0.878333 0.687047i
\(238\) 9.67739e37 1.54400e36i 0.913118 0.0145685i
\(239\) 6.60525e37i 0.582805i −0.956601 0.291402i \(-0.905878\pi\)
0.956601 0.291402i \(-0.0941219\pi\)
\(240\) −1.50606e37 3.73383e37i −0.124297 0.308159i
\(241\) 4.11481e37 + 7.12706e37i 0.317744 + 0.550348i 0.980017 0.198914i \(-0.0637415\pi\)
−0.662273 + 0.749262i \(0.730408\pi\)
\(242\) −3.70718e38 + 2.14034e38i −2.67916 + 1.54681i
\(243\) −9.53365e37 + 1.12953e38i −0.644999 + 0.764183i
\(244\) −4.21660e38 −2.67131
\(245\) 1.04270e38 + 5.58433e37i 0.618732 + 0.331370i
\(246\) −1.12246e38 8.78004e37i −0.624033 0.488129i
\(247\) 3.36515e36 5.82861e36i 0.0175329 0.0303678i
\(248\) −1.80819e38 + 1.04396e38i −0.883115 + 0.509866i
\(249\) −3.40657e38 4.80771e37i −1.56001 0.220165i
\(250\) −2.06567e38 + 3.57784e38i −0.887196 + 1.53667i
\(251\) 1.45755e38i 0.587277i 0.955917 + 0.293638i \(0.0948662\pi\)
−0.955917 + 0.293638i \(0.905134\pi\)
\(252\) −1.22864e38 4.63455e38i −0.464532 1.75226i
\(253\) 5.38476e38 1.91090
\(254\) 3.81571e37 + 2.20300e37i 0.127127 + 0.0733965i
\(255\) 1.70709e37 1.20959e38i 0.0534090 0.378437i
\(256\) 2.78025e38 + 4.81553e38i 0.817041 + 1.41516i
\(257\) 2.38428e38 + 1.37657e38i 0.658306 + 0.380073i 0.791631 0.610999i \(-0.209232\pi\)
−0.133325 + 0.991072i \(0.542565\pi\)
\(258\) 5.14639e38 6.57924e38i 1.33533 1.70711i
\(259\) 1.50414e38 2.70396e38i 0.366852 0.659484i
\(260\) 3.35846e38i 0.770134i
\(261\) 3.33475e37 1.15791e38i 0.0719143 0.249705i
\(262\) 8.33806e37 + 1.44419e38i 0.169139 + 0.292958i
\(263\) −5.29357e38 + 3.05625e38i −1.01032 + 0.583306i −0.911284 0.411778i \(-0.864908\pi\)
−0.0990316 + 0.995084i \(0.531574\pi\)
\(264\) −1.18710e39 + 4.78821e38i −2.13218 + 0.860023i
\(265\) 2.62114e38 0.443156
\(266\) 5.23671e37 3.13585e37i 0.0833590 0.0499171i
\(267\) 5.15543e38 6.59080e38i 0.772832 0.988002i
\(268\) 2.06525e38 3.57712e38i 0.291619 0.505099i
\(269\) 1.50756e38 8.70391e37i 0.200557 0.115792i −0.396358 0.918096i \(-0.629726\pi\)
0.596915 + 0.802304i \(0.296393\pi\)
\(270\) −9.33995e38 + 9.65296e37i −1.17091 + 0.121015i
\(271\) −4.59132e38 + 7.95239e38i −0.542536 + 0.939700i 0.456221 + 0.889866i \(0.349203\pi\)
−0.998758 + 0.0498338i \(0.984131\pi\)
\(272\) 2.31399e38i 0.257785i
\(273\) 7.14069e37 5.71738e38i 0.0750132 0.600613i
\(274\) 2.48101e39 2.45821
\(275\) 7.92836e38 + 4.57744e38i 0.741072 + 0.427858i
\(276\) 2.30589e39 + 3.25431e38i 2.03373 + 0.287021i
\(277\) −7.92107e38 1.37197e39i −0.659337 1.14200i −0.980788 0.195079i \(-0.937504\pi\)
0.321451 0.946926i \(-0.395830\pi\)
\(278\) 2.90142e39 + 1.67514e39i 2.27979 + 1.31624i
\(279\) 2.42808e38 + 9.78668e38i 0.180134 + 0.726053i
\(280\) 6.63870e38 1.19343e39i 0.465109 0.836118i
\(281\) 1.21301e39i 0.802716i 0.915921 + 0.401358i \(0.131462\pi\)
−0.915921 + 0.401358i \(0.868538\pi\)
\(282\) 2.25784e38 9.10709e37i 0.141159 0.0569369i
\(283\) −5.44612e38 9.43296e38i −0.321739 0.557269i 0.659108 0.752049i \(-0.270934\pi\)
−0.980847 + 0.194780i \(0.937601\pi\)
\(284\) 3.95603e39 2.28401e39i 2.20885 1.27528i
\(285\) −2.88178e37 7.14456e37i −0.0152105 0.0377101i
\(286\) −3.43076e39 −1.71212
\(287\) −1.59679e37 1.00082e39i −0.00753593 0.472332i
\(288\) 1.23752e39 3.07030e38i 0.552426 0.137057i
\(289\) −8.32911e38 + 1.44264e39i −0.351749 + 0.609248i
\(290\) 6.62918e38 3.82736e38i 0.264906 0.152944i
\(291\) 3.87291e38 2.74421e39i 0.146470 1.03784i
\(292\) −2.18804e39 + 3.78979e39i −0.783301 + 1.35672i
\(293\) 5.04436e39i 1.70972i 0.518862 + 0.854858i \(0.326356\pi\)
−0.518862 + 0.854858i \(0.673644\pi\)
\(294\) 3.08656e39 4.21648e39i 0.990645 1.35330i
\(295\) 2.72143e39 0.827265
\(296\) −3.09380e39 1.78620e39i −0.890890 0.514356i
\(297\) 6.35508e38 + 6.14901e39i 0.173388 + 1.67765i
\(298\) −3.50084e39 6.06363e39i −0.905132 1.56773i
\(299\) 2.42356e39 + 1.39924e39i 0.593902 + 0.342890i
\(300\) 3.11848e39 + 2.43933e39i 0.724442 + 0.566671i
\(301\) 5.86630e39 9.35952e37i 1.29211 0.0206153i
\(302\) 9.66147e39i 2.01805i
\(303\) 2.96552e39 + 7.35214e39i 0.587514 + 1.45657i
\(304\) −7.29658e37 1.26381e38i −0.0137133 0.0237521i
\(305\) −5.02306e39 + 2.90006e39i −0.895717 + 0.517142i
\(306\) −5.18588e39 1.49352e39i −0.877565 0.252736i
\(307\) 7.39717e39 1.18810 0.594048 0.804429i \(-0.297529\pi\)
0.594048 + 0.804429i \(0.297529\pi\)
\(308\) −1.75237e40 9.74794e39i −2.67187 1.48628i
\(309\) 6.55664e39 + 5.12871e39i 0.949174 + 0.742460i
\(310\) −3.20279e39 + 5.54739e39i −0.440292 + 0.762608i
\(311\) −4.23823e39 + 2.44694e39i −0.553373 + 0.319490i −0.750481 0.660892i \(-0.770178\pi\)
0.197108 + 0.980382i \(0.436845\pi\)
\(312\) −6.58710e39 9.29639e38i −0.816997 0.115303i
\(313\) 2.27888e39 3.94714e39i 0.268542 0.465129i −0.699943 0.714198i \(-0.746791\pi\)
0.968486 + 0.249069i \(0.0801247\pi\)
\(314\) 2.01690e40i 2.25845i
\(315\) −4.65115e39 4.67592e39i −0.494984 0.497621i
\(316\) −1.99832e40 −2.02149
\(317\) −7.87910e38 4.54900e38i −0.0757754 0.0437489i 0.461634 0.887071i \(-0.347264\pi\)
−0.537409 + 0.843322i \(0.680597\pi\)
\(318\) 1.61821e39 1.14661e40i 0.147979 1.04853i
\(319\) −2.51977e39 4.36436e39i −0.219134 0.379551i
\(320\) 1.04935e40 + 6.05844e39i 0.868004 + 0.501143i
\(321\) −1.40160e40 + 1.79183e40i −1.10292 + 1.40999i
\(322\) 1.30390e40 + 2.17745e40i 0.976226 + 1.63025i
\(323\) 4.42773e38i 0.0315458i
\(324\) −9.94785e38 + 2.67157e40i −0.0674542 + 1.81153i
\(325\) 2.37892e39 + 4.12041e39i 0.153549 + 0.265954i
\(326\) −1.59556e40 + 9.21195e39i −0.980461 + 0.566069i
\(327\) 1.49467e40 6.02882e39i 0.874545 0.352751i
\(328\) −1.15566e40 −0.643947
\(329\) 1.49439e39 + 8.31286e38i 0.0793102 + 0.0441180i
\(330\) −2.41951e40 + 3.09314e40i −1.22322 + 1.56378i
\(331\) 1.98217e40 3.43321e40i 0.954755 1.65368i 0.219829 0.975539i \(-0.429450\pi\)
0.734927 0.678146i \(-0.237216\pi\)
\(332\) −5.38888e40 + 3.11127e40i −2.47337 + 1.42800i
\(333\) −1.24243e40 + 1.19703e40i −0.543457 + 0.523597i
\(334\) −1.00516e40 + 1.74098e40i −0.419073 + 0.725856i
\(335\) 5.68169e39i 0.225819i
\(336\) −9.96186e39 7.53930e39i −0.377496 0.285695i
\(337\) −2.09385e40 −0.756600 −0.378300 0.925683i \(-0.623491\pi\)
−0.378300 + 0.925683i \(0.623491\pi\)
\(338\) 2.67059e40 + 1.54186e40i 0.920322 + 0.531348i
\(339\) 7.89976e39 + 1.11490e39i 0.259668 + 0.0366470i
\(340\) −1.10473e40 1.91345e40i −0.346413 0.600004i
\(341\) 3.65216e40 + 2.10857e40i 1.09265 + 0.630839i
\(342\) −3.30326e39 + 8.19540e38i −0.0943029 + 0.0233966i
\(343\) 3.66613e40 1.75596e39i 0.998855 0.0478418i
\(344\) 6.77389e40i 1.76158i
\(345\) 2.97074e40 1.19826e40i 0.737494 0.297471i
\(346\) −2.46691e40 4.27281e40i −0.584703 1.01274i
\(347\) 3.19309e40 1.84353e40i 0.722668 0.417233i −0.0930658 0.995660i \(-0.529667\pi\)
0.815734 + 0.578427i \(0.196333\pi\)
\(348\) −8.15265e39 2.02121e40i −0.176210 0.436862i
\(349\) −3.14501e40 −0.649254 −0.324627 0.945842i \(-0.605239\pi\)
−0.324627 + 0.945842i \(0.605239\pi\)
\(350\) 6.88353e38 + 4.31442e40i 0.0135745 + 0.850812i
\(351\) −1.31181e40 + 2.93267e40i −0.247148 + 0.552523i
\(352\) 2.66629e40 4.61814e40i 0.479981 0.831352i
\(353\) 4.28129e40 2.47180e40i 0.736511 0.425225i −0.0842884 0.996441i \(-0.526862\pi\)
0.820799 + 0.571217i \(0.193528\pi\)
\(354\) 1.68012e40 1.19048e41i 0.276241 1.95735i
\(355\) 3.14177e40 5.44170e40i 0.493765 0.855226i
\(356\) 1.51345e41i 2.27389i
\(357\) −1.47384e40 3.49231e40i −0.211719 0.501674i
\(358\) 5.05652e40 0.694581
\(359\) −3.38647e40 1.95518e40i −0.444873 0.256848i 0.260790 0.965396i \(-0.416017\pi\)
−0.705662 + 0.708548i \(0.749350\pi\)
\(360\) −5.48363e40 + 5.28324e40i −0.689014 + 0.663836i
\(361\) 4.14596e40 + 7.18101e40i 0.498322 + 0.863119i
\(362\) −1.58986e41 9.17907e40i −1.82819 1.05551i
\(363\) 1.32051e41 + 1.03292e41i 1.45290 + 1.13648i
\(364\) −5.35401e40 8.94092e40i −0.563712 0.941369i
\(365\) 6.01949e40i 0.606560i
\(366\) 9.58511e40 + 2.37635e41i 0.924484 + 2.29199i
\(367\) 2.42787e40 + 4.20520e40i 0.224166 + 0.388266i 0.956069 0.293142i \(-0.0947010\pi\)
−0.731903 + 0.681409i \(0.761368\pi\)
\(368\) 5.25495e40 3.03395e40i 0.464519 0.268190i
\(369\) −1.54458e40 + 5.36318e40i −0.130734 + 0.453942i
\(370\) −1.09599e41 −0.888338
\(371\) 6.97803e40 4.17859e40i 0.541689 0.324375i
\(372\) 1.43651e41 + 1.12367e41i 1.06813 + 0.835507i
\(373\) −6.43784e40 + 1.11507e41i −0.458563 + 0.794254i −0.998885 0.0472041i \(-0.984969\pi\)
0.540323 + 0.841458i \(0.318302\pi\)
\(374\) −1.95464e41 + 1.12851e41i −1.33390 + 0.770126i
\(375\) 1.60213e41 + 2.26110e40i 1.04761 + 0.147849i
\(376\) 9.87175e39 1.70984e40i 0.0618570 0.107139i
\(377\) 2.61907e40i 0.157284i
\(378\) −2.33260e41 + 1.74594e41i −1.34268 + 1.00499i
\(379\) −7.19592e40 −0.397062 −0.198531 0.980095i \(-0.563617\pi\)
−0.198531 + 0.980095i \(0.563617\pi\)
\(380\) −1.20672e40 6.96699e39i −0.0638364 0.0368560i
\(381\) 2.41143e39 1.70865e40i 0.0122314 0.0866671i
\(382\) 2.63640e41 + 4.56638e41i 1.28232 + 2.22105i
\(383\) −3.11951e40 1.80105e40i −0.145515 0.0840129i 0.425475 0.904970i \(-0.360107\pi\)
−0.570990 + 0.820957i \(0.693440\pi\)
\(384\) 2.51427e41 3.21428e41i 1.12489 1.43808i
\(385\) −2.75796e41 + 4.40025e39i −1.18363 + 0.0188845i
\(386\) 6.91417e41i 2.84671i
\(387\) −3.14361e41 9.05350e40i −1.24180 0.357636i
\(388\) −2.50632e41 4.34108e41i −0.950012 1.64547i
\(389\) 2.18790e41 1.26319e41i 0.795856 0.459488i −0.0461642 0.998934i \(-0.514700\pi\)
0.842020 + 0.539446i \(0.181366\pi\)
\(390\) −1.89273e41 + 7.63440e40i −0.660777 + 0.266527i
\(391\) 1.84107e41 0.616938
\(392\) −1.35186e40 4.23548e41i −0.0434866 1.36247i
\(393\) 4.02392e40 5.14425e40i 0.124271 0.158870i
\(394\) 2.47099e41 4.27989e41i 0.732710 1.26909i
\(395\) −2.38051e41 + 1.37439e41i −0.677823 + 0.391342i
\(396\) 7.75766e41 + 8.05190e41i 2.12133 + 2.20179i
\(397\) 2.13747e41 3.70220e41i 0.561373 0.972326i −0.436004 0.899945i \(-0.643607\pi\)
0.997377 0.0723817i \(-0.0230600\pi\)
\(398\) 1.01784e42i 2.56773i
\(399\) −1.90617e40 1.44262e40i −0.0461950 0.0349611i
\(400\) 1.03163e41 0.240196
\(401\) −8.07055e40 4.65954e40i −0.180548 0.104240i 0.407002 0.913427i \(-0.366574\pi\)
−0.587550 + 0.809188i \(0.699908\pi\)
\(402\) −2.48543e41 3.50769e40i −0.534299 0.0754058i
\(403\) 1.09584e41 + 1.89805e41i 0.226394 + 0.392126i
\(404\) 1.24178e42 + 7.16942e41i 2.46571 + 1.42358i
\(405\) 1.71893e41 + 3.25095e41i 0.328079 + 0.620483i
\(406\) 1.15467e41 2.07574e41i 0.211857 0.380852i
\(407\) 7.21550e41i 1.27279i
\(408\) −4.05873e41 + 1.63711e41i −0.688379 + 0.277661i
\(409\) −2.01992e41 3.49860e41i −0.329428 0.570586i 0.652970 0.757383i \(-0.273523\pi\)
−0.982398 + 0.186797i \(0.940189\pi\)
\(410\) −3.07048e41 + 1.77274e41i −0.481576 + 0.278038i
\(411\) −3.63474e41 9.01128e41i −0.548282 1.35931i
\(412\) 1.50561e42 2.18453
\(413\) 7.24501e41 4.33847e41i 1.01120 0.605530i
\(414\) −3.40768e41 1.37351e42i −0.457566 1.84428i
\(415\) −4.27970e41 + 7.41266e41i −0.552896 + 0.957644i
\(416\) 2.40007e41 1.38568e41i 0.298354 0.172255i
\(417\) 1.83362e41 1.29924e42i 0.219348 1.55422i
\(418\) −7.11698e40 + 1.23270e41i −0.0819361 + 0.141918i
\(419\) 7.70395e41i 0.853668i −0.904330 0.426834i \(-0.859629\pi\)
0.904330 0.426834i \(-0.140371\pi\)
\(420\) −1.18369e42 1.47836e41i −1.26255 0.157686i
\(421\) 5.28898e41 0.543073 0.271537 0.962428i \(-0.412468\pi\)
0.271537 + 0.962428i \(0.412468\pi\)
\(422\) 1.49557e42 + 8.63465e41i 1.47845 + 0.853583i
\(423\) −6.61559e40 6.86651e40i −0.0629684 0.0653567i
\(424\) −4.69532e41 8.13252e41i −0.430339 0.745370i
\(425\) 2.71073e41 + 1.56504e41i 0.239257 + 0.138135i
\(426\) −2.18648e42 1.71030e42i −1.85863 1.45385i
\(427\) −8.74919e41 + 1.57283e42i −0.716344 + 1.28776i
\(428\) 4.11460e42i 3.24509i
\(429\) 5.02615e41 + 1.24609e42i 0.381873 + 0.946744i
\(430\) −1.03909e42 1.79975e42i −0.760602 1.31740i
\(431\) −9.66428e41 + 5.57967e41i −0.681605 + 0.393525i −0.800460 0.599387i \(-0.795411\pi\)
0.118854 + 0.992912i \(0.462078\pi\)
\(432\) 4.08475e41 + 5.64272e41i 0.277604 + 0.383485i
\(433\) −7.92993e41 −0.519354 −0.259677 0.965696i \(-0.583616\pi\)
−0.259677 + 0.965696i \(0.583616\pi\)
\(434\) 3.17086e40 + 1.98741e42i 0.0200144 + 1.25445i
\(435\) −2.36133e41 1.84707e41i −0.143658 0.112371i
\(436\) 1.45753e42 2.52451e42i 0.854737 1.48045i
\(437\) 1.00552e41 5.80536e40i 0.0568442 0.0328190i
\(438\) 2.63319e42 + 3.71624e41i 1.43515 + 0.202543i
\(439\) 1.39092e42 2.40914e42i 0.730918 1.26599i −0.225573 0.974226i \(-0.572426\pi\)
0.956491 0.291761i \(-0.0942411\pi\)
\(440\) 3.18465e42i 1.61369i
\(441\) −1.98366e42 5.03348e41i −0.969282 0.245952i
\(442\) −1.17299e42 −0.552762
\(443\) −1.56244e42 9.02075e41i −0.710139 0.409999i 0.100973 0.994889i \(-0.467804\pi\)
−0.811113 + 0.584890i \(0.801138\pi\)
\(444\) −4.36073e41 + 3.08986e42i −0.191175 + 1.35460i
\(445\) −1.04091e42 1.80292e42i −0.440205 0.762457i
\(446\) −4.05007e42 2.33831e42i −1.65236 0.953991i
\(447\) −1.68949e42 + 2.15988e42i −0.665023 + 0.850177i
\(448\) 3.75942e42 5.99805e40i 1.42782 0.0227804i
\(449\) 1.91621e42i 0.702267i −0.936325 0.351133i \(-0.885796\pi\)
0.936325 0.351133i \(-0.114204\pi\)
\(450\) 6.65847e41 2.31199e42i 0.235491 0.817685i
\(451\) 1.16710e42 + 2.02147e42i 0.398366 + 0.689991i
\(452\) 1.24967e42 7.21495e41i 0.411698 0.237694i
\(453\) −3.50915e42 + 1.41543e42i −1.11591 + 0.450108i
\(454\) −4.50203e42 −1.38202
\(455\) −1.25273e42 6.96860e41i −0.371258 0.206521i
\(456\) −1.70049e41 + 2.17394e41i −0.0486561 + 0.0622029i
\(457\) −2.57250e42 + 4.45569e42i −0.710715 + 1.23099i 0.253874 + 0.967237i \(0.418295\pi\)
−0.964589 + 0.263757i \(0.915038\pi\)
\(458\) −1.84673e41 + 1.06621e41i −0.0492669 + 0.0284442i
\(459\) 2.17283e41 + 2.10237e42i 0.0559786 + 0.541634i
\(460\) 2.89690e42 5.01758e42i 0.720790 1.24845i
\(461\) 3.85372e42i 0.926116i −0.886328 0.463058i \(-0.846752\pi\)
0.886328 0.463058i \(-0.153248\pi\)
\(462\) −1.51019e42 + 1.20917e43i −0.350558 + 2.80684i
\(463\) −3.19260e42 −0.715894 −0.357947 0.933742i \(-0.616523\pi\)
−0.357947 + 0.933742i \(0.616523\pi\)
\(464\) −4.91805e41 2.83944e41i −0.106538 0.0615099i
\(465\) 2.48409e42 + 3.50580e41i 0.519900 + 0.0733736i
\(466\) −7.14712e42 1.23792e43i −1.44530 2.50332i
\(467\) 3.80578e42 + 2.19727e42i 0.743659 + 0.429352i 0.823398 0.567464i \(-0.192075\pi\)
−0.0797391 + 0.996816i \(0.525409\pi\)
\(468\) 1.39924e42 + 5.63983e42i 0.264217 + 1.06496i
\(469\) −9.05768e41 1.51259e42i −0.165292 0.276029i
\(470\) 6.05716e41i 0.106832i
\(471\) −7.32560e42 + 2.95481e42i −1.24884 + 0.503726i
\(472\) −4.87496e42 8.44368e42i −0.803340 1.39142i
\(473\) −1.18488e43 + 6.84090e42i −1.88754 + 1.08977i
\(474\) 4.54254e42 + 1.12619e43i 0.699593 + 1.73444i
\(475\) 1.97399e41 0.0293932
\(476\) −5.99142e42 3.33286e42i −0.862618 0.479850i
\(477\) −4.40167e42 + 1.09205e42i −0.612806 + 0.152037i
\(478\) −3.63001e42 + 6.28737e42i −0.488722 + 0.846491i
\(479\) 1.06260e43 6.13490e42i 1.38357 0.798802i 0.390986 0.920397i \(-0.372134\pi\)
0.992580 + 0.121594i \(0.0388007\pi\)
\(480\) 4.43308e41 3.14112e42i 0.0558272 0.395572i
\(481\) −1.87497e42 + 3.24754e42i −0.228388 + 0.395579i
\(482\) 9.04541e42i 1.06580i
\(483\) 5.99847e42 7.92592e42i 0.683733 0.903432i
\(484\) 3.03230e43 3.34385
\(485\) −5.97136e42 3.44756e42i −0.637096 0.367828i
\(486\) 1.52823e43 5.51235e42i 1.57765 0.569057i
\(487\) −4.79585e42 8.30666e42i −0.479074 0.829780i 0.520638 0.853777i \(-0.325694\pi\)
−0.999712 + 0.0239974i \(0.992361\pi\)
\(488\) 1.79958e43 + 1.03899e43i 1.73962 + 1.00437i
\(489\) 5.68341e42 + 4.44566e42i 0.531700 + 0.415905i
\(490\) −6.85625e42 1.10459e43i −0.620797 1.00015i
\(491\) 4.79659e42i 0.420367i 0.977662 + 0.210184i \(0.0674062\pi\)
−0.977662 + 0.210184i \(0.932594\pi\)
\(492\) 3.77612e42 + 9.36180e42i 0.320335 + 0.794178i
\(493\) −8.61517e41 1.49219e42i −0.0707479 0.122539i
\(494\) −6.40640e41 + 3.69874e41i −0.0509311 + 0.0294051i
\(495\) 1.47793e43 + 4.25638e42i 1.13755 + 0.327610i
\(496\) 4.75216e42 0.354147
\(497\) −3.11045e41 1.94955e43i −0.0224451 1.40680i
\(498\) 2.97841e43 + 2.32976e43i 2.08121 + 1.62796i
\(499\) 5.28731e42 9.15789e42i 0.357788 0.619707i −0.629803 0.776755i \(-0.716864\pi\)
0.987591 + 0.157048i \(0.0501977\pi\)
\(500\) 2.53442e43 1.46325e43i 1.66096 0.958956i
\(501\) 7.79601e42 + 1.10025e42i 0.494844 + 0.0698375i
\(502\) 8.01016e42 1.38740e43i 0.492472 0.852987i
\(503\) 6.52926e42i 0.388845i 0.980918 + 0.194422i \(0.0622832\pi\)
−0.980918 + 0.194422i \(0.937717\pi\)
\(504\) −6.17610e42 + 2.28070e43i −0.356308 + 1.31577i
\(505\) 1.97238e43 1.10237
\(506\) −5.12561e43 2.95927e43i −2.77547 1.60242i
\(507\) 1.68774e42 1.19587e43i 0.0885479 0.627419i
\(508\) −1.56054e42 2.70293e42i −0.0793331 0.137409i
\(509\) 2.08882e43 + 1.20598e43i 1.02900 + 0.594096i 0.916699 0.399578i \(-0.130843\pi\)
0.112305 + 0.993674i \(0.464177\pi\)
\(510\) −8.27239e42 + 1.05756e43i −0.394919 + 0.504872i
\(511\) 9.59619e42 + 1.60251e43i 0.443981 + 0.741425i
\(512\) 2.04008e43i 0.914802i
\(513\) 7.81602e41 + 1.07971e42i 0.0339709 + 0.0469279i
\(514\) −1.51302e43 2.62063e43i −0.637435 1.10407i
\(515\) 1.79357e43 1.03552e43i 0.732493 0.422905i
\(516\) −5.48739e43 + 2.21336e43i −2.17255 + 0.876308i
\(517\) −3.98777e42 −0.153067
\(518\) −2.91775e43 + 1.74721e43i −1.08585 + 0.650232i
\(519\) −1.19052e43 + 1.52199e43i −0.429596 + 0.549203i
\(520\) −8.27541e42 + 1.43334e43i −0.289558 + 0.501530i
\(521\) 2.20812e43 1.27486e43i 0.749237 0.432572i −0.0761814 0.997094i \(-0.524273\pi\)
0.825418 + 0.564522i \(0.190939\pi\)
\(522\) −9.53773e42 + 9.18919e42i −0.313846 + 0.302377i
\(523\) −8.10491e42 + 1.40381e43i −0.258655 + 0.448004i −0.965882 0.258983i \(-0.916613\pi\)
0.707227 + 0.706987i \(0.249946\pi\)
\(524\) 1.18128e43i 0.365639i
\(525\) 1.55696e43 6.57075e42i 0.467442 0.197272i
\(526\) 6.71842e43 1.95657
\(527\) 1.24869e43 + 7.20929e42i 0.352763 + 0.203668i
\(528\) 2.88479e43 + 4.07132e42i 0.790627 + 0.111581i
\(529\) 5.33445e42 + 9.23954e42i 0.141840 + 0.245674i
\(530\) −2.49500e43 1.44049e43i −0.643659 0.371617i
\(531\) −4.57008e43 + 1.13384e43i −1.14396 + 0.283817i
\(532\) −4.32320e42 + 6.89755e40i −0.105007 + 0.00167536i
\(533\) 1.21309e43i 0.285930i
\(534\) −8.52939e43 + 3.44036e43i −1.95100 + 0.786944i
\(535\) 2.82991e43 + 4.90155e43i 0.628221 + 1.08811i
\(536\) −1.76284e43 + 1.01778e43i −0.379818 + 0.219288i
\(537\) −7.40792e42 1.83658e43i −0.154920 0.384080i
\(538\) −1.91334e43 −0.388398
\(539\) −7.27213e43 + 4.51385e43i −1.43298 + 0.889462i
\(540\) 6.07162e43 + 2.71589e43i 1.16146 + 0.519531i
\(541\) 2.21269e43 3.83249e43i 0.410927 0.711746i −0.584065 0.811707i \(-0.698539\pi\)
0.994991 + 0.0999613i \(0.0318719\pi\)
\(542\) 8.74071e43 5.04645e43i 1.57601 0.909908i
\(543\) −1.00475e43 + 7.11930e43i −0.175898 + 1.24635i
\(544\) 9.11613e42 1.57896e43i 0.154963 0.268404i
\(545\) 4.00979e43i 0.661878i
\(546\) −3.82177e43 + 5.04980e43i −0.612608 + 0.809453i
\(547\) 6.21629e43 0.967684 0.483842 0.875155i \(-0.339241\pi\)
0.483842 + 0.875155i \(0.339241\pi\)
\(548\) −1.52201e44 8.78732e43i −2.30106 1.32852i
\(549\) 7.22692e43 6.96283e43i 1.06120 1.02242i
\(550\) −5.03120e43 8.71429e43i −0.717577 1.24288i
\(551\) −9.41052e41 5.43316e41i −0.0130373 0.00752709i
\(552\) −9.03934e43 7.07072e43i −1.21650 0.951565i
\(553\) −4.14638e43 + 7.45389e43i −0.542085 + 0.974497i
\(554\) 1.74125e44i 2.21160i
\(555\) 1.60565e43 + 3.98074e43i 0.198136 + 0.491221i
\(556\) −1.18661e44 2.05528e44i −1.42270 2.46419i
\(557\) 6.36205e42 3.67313e42i 0.0741164 0.0427911i −0.462484 0.886628i \(-0.653042\pi\)
0.536600 + 0.843837i \(0.319708\pi\)
\(558\) 3.06719e43 1.06501e44i 0.347211 1.20561i
\(559\) −7.11051e43 −0.782189
\(560\) −2.66669e43 + 1.59687e43i −0.285078 + 0.170711i
\(561\) 6.96249e43 + 5.44618e43i 0.723367 + 0.565830i
\(562\) 6.66625e43 1.15463e44i 0.673132 1.16590i
\(563\) −3.58394e43 + 2.06919e43i −0.351743 + 0.203079i −0.665453 0.746440i \(-0.731762\pi\)
0.313709 + 0.949519i \(0.398428\pi\)
\(564\) −1.70766e43 2.41003e42i −0.162906 0.0229910i
\(565\) 9.92451e42 1.71898e43i 0.0920309 0.159402i
\(566\) 1.19720e44i 1.07920i
\(567\) 9.75878e43 + 5.91441e43i 0.855198 + 0.518302i
\(568\) −2.25117e44 −1.91794
\(569\) 1.56281e44 + 9.02291e43i 1.29453 + 0.747396i 0.979453 0.201672i \(-0.0646374\pi\)
0.315074 + 0.949067i \(0.397971\pi\)
\(570\) −1.18330e42 + 8.38444e42i −0.00953008 + 0.0675268i
\(571\) 6.19692e43 + 1.07334e44i 0.485286 + 0.840541i 0.999857 0.0169072i \(-0.00538199\pi\)
−0.514571 + 0.857448i \(0.672049\pi\)
\(572\) 2.10465e44 + 1.21512e44i 1.60267 + 0.925301i
\(573\) 1.27232e44 1.62655e44i 0.942154 1.20447i
\(574\) −5.34818e43 + 9.61434e43i −0.385138 + 0.692356i
\(575\) 8.20794e43i 0.574842i
\(576\) −2.01458e44 5.80194e43i −1.37223 0.395197i
\(577\) −1.40063e44 2.42596e44i −0.927920 1.60720i −0.786797 0.617212i \(-0.788262\pi\)
−0.141122 0.989992i \(-0.545071\pi\)
\(578\) 1.58565e44 9.15477e43i 1.02179 0.589932i
\(579\) 2.51130e44 1.01294e44i 1.57413 0.634934i
\(580\) −5.42236e43 −0.330628
\(581\) 4.23704e42 + 2.65567e44i 0.0251330 + 1.57527i
\(582\) −1.87677e44 + 2.39930e44i −1.08304 + 1.38457i
\(583\) −9.48354e43 + 1.64260e44i −0.532443 + 0.922219i
\(584\) 1.86765e44 1.07829e44i 1.02021 0.589018i
\(585\) 5.54579e43 + 5.75614e43i 0.294761 + 0.305941i
\(586\) 2.77220e44 4.80159e44i 1.43371 2.48327i
\(587\) 1.03768e44i 0.522221i 0.965309 + 0.261110i \(0.0840887\pi\)
−0.965309 + 0.261110i \(0.915911\pi\)
\(588\) −3.38691e44 + 1.49345e44i −1.65869 + 0.731398i
\(589\) 9.09309e42 0.0433378
\(590\) −2.59046e44 1.49560e44i −1.20156 0.693719i
\(591\) −1.91651e44 2.70477e43i −0.865189 0.122104i
\(592\) 4.06545e43 + 7.04157e43i 0.178633 + 0.309401i
\(593\) 2.79189e44 + 1.61190e44i 1.19405 + 0.689386i 0.959223 0.282651i \(-0.0912138\pi\)
0.234829 + 0.972037i \(0.424547\pi\)
\(594\) 2.77436e44 6.20234e44i 1.15499 2.58209i
\(595\) −9.42958e43 + 1.50446e42i −0.382139 + 0.00609691i
\(596\) 4.95976e44i 1.95668i
\(597\) −3.69690e44 + 1.49116e44i −1.41987 + 0.572710i
\(598\) −1.53795e44 2.66381e44i −0.575073 0.996056i
\(599\) 3.61136e43 2.08502e43i 0.131474 0.0759068i −0.432820 0.901480i \(-0.642482\pi\)
0.564295 + 0.825573i \(0.309148\pi\)
\(600\) −7.29862e43 1.80948e44i −0.258714 0.641408i
\(601\) −2.54488e44 −0.878367 −0.439183 0.898397i \(-0.644732\pi\)
−0.439183 + 0.898397i \(0.644732\pi\)
\(602\) −5.63541e44 3.13482e44i −1.89401 1.05358i
\(603\) 2.36718e43 + 9.54123e43i 0.0774738 + 0.312268i
\(604\) −3.42194e44 + 5.92697e44i −1.09064 + 1.88904i
\(605\) 3.61225e44 2.08554e44i 1.12122 0.647339i
\(606\) 1.21768e44 8.62805e44i 0.368104 2.60826i
\(607\) 2.55397e44 4.42360e44i 0.751962 1.30244i −0.194908 0.980821i \(-0.562441\pi\)
0.946870 0.321615i \(-0.104226\pi\)
\(608\) 1.14982e43i 0.0329740i
\(609\) −9.23093e43 1.15289e43i −0.257851 0.0322041i
\(610\) 6.37509e44 1.73464
\(611\) −1.79481e43 1.03623e43i −0.0475728 0.0274661i
\(612\) 2.65237e44 + 2.75297e44i 0.684876 + 0.710852i
\(613\) 2.95337e44 + 5.11538e44i 0.742934 + 1.28680i 0.951154 + 0.308717i \(0.0998995\pi\)
−0.208221 + 0.978082i \(0.566767\pi\)
\(614\) −7.04117e44 4.06522e44i −1.72564 0.996300i
\(615\) 1.09371e44 + 8.55521e43i 0.261157 + 0.204281i
\(616\) 5.07693e44 + 8.47821e44i 1.18116 + 1.97248i
\(617\) 2.72926e44i 0.618703i 0.950948 + 0.309351i \(0.100112\pi\)
−0.950948 + 0.309351i \(0.899888\pi\)
\(618\) −3.42253e44 8.48518e44i −0.756018 1.87433i
\(619\) 3.90799e44 + 6.76884e44i 0.841208 + 1.45701i 0.888874 + 0.458151i \(0.151488\pi\)
−0.0476669 + 0.998863i \(0.515179\pi\)
\(620\) 3.92959e44 2.26875e44i 0.824291 0.475904i
\(621\) −4.48950e44 + 3.24993e44i −0.917767 + 0.664368i
\(622\) 5.37901e44 1.07166
\(623\) −5.64531e44 3.14033e44i −1.09617 0.609770i
\(624\) 1.19259e44 + 9.32862e43i 0.225703 + 0.176548i
\(625\) 6.37556e43 1.10428e44i 0.117608 0.203704i
\(626\) −4.33842e44 + 2.50479e44i −0.780086 + 0.450383i
\(627\) 5.51995e43 + 7.79032e42i 0.0967507 + 0.0136545i
\(628\) −7.14353e44 + 1.23730e45i −1.22056 + 2.11407i
\(629\) 2.46701e44i 0.410923i
\(630\) 1.85758e44 + 7.00699e44i 0.301648 + 1.13784i
\(631\) 8.57408e44 1.35743 0.678716 0.734401i \(-0.262537\pi\)
0.678716 + 0.734401i \(0.262537\pi\)
\(632\) 8.52853e44 + 4.92395e44i 1.31644 + 0.760047i
\(633\) 9.45157e43 6.69705e44i 0.142248 1.00792i
\(634\) 4.99993e43 + 8.66014e43i 0.0733730 + 0.127086i
\(635\) −3.71800e43 2.14659e43i −0.0532023 0.0307164i
\(636\) −5.05380e44 + 6.46087e44i −0.705187 + 0.901524i
\(637\) −4.44596e44 + 1.41904e43i −0.604971 + 0.0193092i
\(638\) 5.53910e44i 0.735035i
\(639\) −3.00875e44 + 1.04472e45i −0.389379 + 1.35203i
\(640\) −5.07646e44 8.79268e44i −0.640739 1.10979i
\(641\) 1.04748e45 6.04761e44i 1.28948 0.744484i 0.310922 0.950436i \(-0.399362\pi\)
0.978562 + 0.205952i \(0.0660290\pi\)
\(642\) 2.31887e45 9.35324e44i 2.78430 1.12306i
\(643\) −9.86169e44 −1.15498 −0.577492 0.816396i \(-0.695968\pi\)
−0.577492 + 0.816396i \(0.695968\pi\)
\(644\) −2.86803e43 1.79761e45i −0.0327650 2.05362i
\(645\) −5.01461e44 + 6.41077e44i −0.558833 + 0.714422i
\(646\) −2.43332e43 + 4.21464e43i −0.0264533 + 0.0458184i
\(647\) 1.10434e45 6.37589e44i 1.17121 0.676196i 0.217242 0.976118i \(-0.430294\pi\)
0.953964 + 0.299922i \(0.0969607\pi\)
\(648\) 7.00745e44 1.11568e45i 0.725036 1.15435i
\(649\) −9.84638e44 + 1.70544e45i −0.993943 + 1.72156i
\(650\) 5.22948e44i 0.515045i
\(651\) 7.17205e44 3.02678e44i 0.689203 0.290861i
\(652\) 1.30509e45 1.22371
\(653\) −8.64146e44 4.98915e44i −0.790636 0.456474i 0.0495506 0.998772i \(-0.484221\pi\)
−0.840186 + 0.542298i \(0.817554\pi\)
\(654\) −1.75406e45 2.47551e44i −1.56603 0.221015i
\(655\) −8.12455e43 1.40721e44i −0.0707845 0.122602i
\(656\) 2.27793e44 + 1.31516e44i 0.193677 + 0.111820i
\(657\) −2.50792e44 1.01085e45i −0.208098 0.838765i
\(658\) −9.65624e43 1.61254e44i −0.0781977 0.130586i
\(659\) 1.39439e45i 1.10209i −0.834474 0.551047i \(-0.814228\pi\)
0.834474 0.551047i \(-0.185772\pi\)
\(660\) 2.57982e45 1.04058e45i 1.99016 0.802737i
\(661\) 6.40460e44 + 1.10931e45i 0.482246 + 0.835274i 0.999792 0.0203809i \(-0.00648789\pi\)
−0.517547 + 0.855655i \(0.673155\pi\)
\(662\) −3.77354e45 + 2.17866e45i −2.77346 + 1.60126i
\(663\) 1.71846e44 + 4.26043e44i 0.123289 + 0.305659i
\(664\) 3.06653e45 2.14762
\(665\) −5.10262e43 + 3.05555e43i −0.0348856 + 0.0208902i
\(666\) 1.84048e45 4.56625e44i 1.22841 0.304770i
\(667\) 2.25913e44 3.91293e44i 0.147207 0.254970i
\(668\) 1.23325e45 7.12020e44i 0.784566 0.452969i
\(669\) −2.55954e44 + 1.81360e45i −0.158980 + 1.12648i
\(670\) −3.12246e44 + 5.40825e44i −0.189365 + 0.327990i
\(671\) 4.19708e45i 2.48535i
\(672\) −3.82736e44 9.06904e44i −0.221305 0.524388i
\(673\) 1.60895e45 0.908450 0.454225 0.890887i \(-0.349916\pi\)
0.454225 + 0.890887i \(0.349916\pi\)
\(674\) 1.99308e45 + 1.15070e45i 1.09892 + 0.634461i
\(675\) −9.37289e44 + 9.68700e43i −0.504676 + 0.0521589i
\(676\) −1.09221e45 1.89176e45i −0.574325 0.994760i
\(677\) 1.63322e45 + 9.42942e44i 0.838739 + 0.484246i 0.856836 0.515590i \(-0.172427\pi\)
−0.0180961 + 0.999836i \(0.505760\pi\)
\(678\) −6.90686e44 5.40266e44i −0.346422 0.270977i
\(679\) −2.13931e45 + 3.41320e43i −1.04799 + 0.0167204i
\(680\) 1.08884e45i 0.520983i
\(681\) 6.59558e44 + 1.63519e45i 0.308247 + 0.764211i
\(682\) −2.31759e45 4.01419e45i −1.05800 1.83252i
\(683\) 5.89963e44 3.40615e44i 0.263083 0.151891i −0.362657 0.931923i \(-0.618130\pi\)
0.625740 + 0.780031i \(0.284797\pi\)
\(684\) 2.31670e44 + 6.67203e43i 0.100919 + 0.0290643i
\(685\) −2.41748e45 −1.02876
\(686\) −3.58620e45 1.84763e45i −1.49090 0.768121i
\(687\) 6.57808e43 + 5.14549e43i 0.0267172 + 0.0208987i
\(688\) −7.70878e44 + 1.33520e45i −0.305894 + 0.529824i
\(689\) −8.53666e44 + 4.92864e44i −0.330964 + 0.191082i
\(690\) −3.48628e45 4.92020e44i −1.32062 0.186379i
\(691\) −2.00258e45 + 3.46857e45i −0.741210 + 1.28381i 0.210735 + 0.977543i \(0.432414\pi\)
−0.951945 + 0.306270i \(0.900919\pi\)
\(692\) 3.49496e45i 1.26399i
\(693\) 4.61310e45 1.22295e45i 1.63027 0.432193i
\(694\) −4.05255e45 −1.39951
\(695\) −2.82713e45 1.63224e45i −0.954088 0.550843i
\(696\) −1.50094e44 + 1.06351e45i −0.0495011 + 0.350747i
\(697\) 3.99035e44 + 6.91149e44i 0.128613 + 0.222765i
\(698\) 2.99365e45 + 1.72838e45i 0.943005 + 0.544444i
\(699\) −3.44918e45 + 4.40949e45i −1.06189 + 1.35754i
\(700\) 1.48587e45 2.67112e45i 0.447108 0.803758i
\(701\) 1.16265e44i 0.0341949i −0.999854 0.0170975i \(-0.994557\pi\)
0.999854 0.0170975i \(-0.00544255\pi\)
\(702\) 2.86037e45 2.07061e45i 0.822297 0.595258i
\(703\) 7.77910e43 + 1.34738e44i 0.0218597 + 0.0378621i
\(704\) −7.59331e45 + 4.38400e45i −2.08578 + 1.20423i
\(705\) −2.20003e44 + 8.87389e43i −0.0590747 + 0.0238280i
\(706\) −5.43366e45 −1.42632
\(707\) 5.25087e45 3.14433e45i 1.34748 0.806897i
\(708\) −5.24717e45 + 6.70807e45i −1.31641 + 1.68293i
\(709\) −3.51821e45 + 6.09372e45i −0.862943 + 1.49466i 0.00613279 + 0.999981i \(0.498048\pi\)
−0.869076 + 0.494679i \(0.835285\pi\)
\(710\) −5.98113e45 + 3.45321e45i −1.43433 + 0.828112i
\(711\) 3.42496e45 3.29980e45i 0.803048 0.773702i
\(712\) −3.72923e45 + 6.45921e45i −0.854947 + 1.48081i
\(713\) 3.78094e45i 0.847555i
\(714\) −5.16340e44 + 4.13421e45i −0.113179 + 0.906194i
\(715\) 3.34291e45 0.716520
\(716\) −3.10199e45 1.79094e45i −0.650178 0.375381i
\(717\) 2.81544e45 + 3.97345e44i 0.577086 + 0.0814443i
\(718\) 2.14899e45 + 3.72217e45i 0.430769 + 0.746113i
\(719\) −6.32924e44 3.65419e44i −0.124076 0.0716356i 0.436677 0.899618i \(-0.356155\pi\)
−0.560754 + 0.827983i \(0.689489\pi\)
\(720\) 1.68212e45 4.17334e44i 0.322505 0.0800137i
\(721\) 3.12405e45 5.61606e45i 0.585806 1.05309i
\(722\) 9.11389e45i 1.67151i
\(723\) −3.28539e45 + 1.32518e45i −0.589351 + 0.237717i
\(724\) 6.50216e45 + 1.12621e46i 1.14088 + 1.97606i
\(725\) 6.65256e44 3.84086e44i 0.114178 0.0659204i
\(726\) −6.89298e45 1.70891e46i −1.15723 2.86903i
\(727\) 2.16851e45 0.356131 0.178066 0.984019i \(-0.443016\pi\)
0.178066 + 0.984019i \(0.443016\pi\)
\(728\) 8.19292e43 + 5.13511e45i 0.0131625 + 0.824988i
\(729\) −4.24104e45 4.74313e45i −0.666549 0.745461i
\(730\) 3.30810e45 5.72979e45i 0.508642 0.880995i
\(731\) −4.05115e45 + 2.33893e45i −0.609396 + 0.351835i
\(732\) 2.53653e45 1.79730e46i 0.373304 2.64510i
\(733\) 5.39620e45 9.34649e45i 0.777006 1.34581i −0.156655 0.987653i \(-0.550071\pi\)
0.933660 0.358160i \(-0.116596\pi\)
\(734\) 5.33709e45i 0.751913i
\(735\) −3.00753e45 + 4.10851e45i −0.414584 + 0.566353i
\(736\) 4.78099e45 0.644872
\(737\) 3.56056e45 + 2.05569e45i 0.469935 + 0.271317i
\(738\) 4.41766e45 4.25622e45i 0.570545 0.549696i
\(739\) 2.41526e45 + 4.18336e45i 0.305248 + 0.528706i 0.977317 0.211783i \(-0.0679272\pi\)
−0.672068 + 0.740489i \(0.734594\pi\)