Properties

Label 21.33.h.b.2.17
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 2.17
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-76577.7 - 44212.2i) q^{2} +(-1.26540e7 + 4.11448e7i) q^{3} +(1.76195e9 + 3.05178e9i) q^{4} +(-2.57749e11 - 1.48811e11i) q^{5} +(2.78812e12 - 2.59132e12i) q^{6} +(3.15580e13 - 1.04173e13i) q^{7} +6.81818e13i q^{8} +(-1.53277e15 - 1.04129e15i) q^{9} +O(q^{10})\) \(q+(-76577.7 - 44212.2i) q^{2} +(-1.26540e7 + 4.11448e7i) q^{3} +(1.76195e9 + 3.05178e9i) q^{4} +(-2.57749e11 - 1.48811e11i) q^{5} +(2.78812e12 - 2.59132e12i) q^{6} +(3.15580e13 - 1.04173e13i) q^{7} +6.81818e13i q^{8} +(-1.53277e15 - 1.04129e15i) q^{9} +(1.31586e16 + 2.27913e16i) q^{10} +(3.72259e16 - 2.14924e16i) q^{11} +(-1.47861e17 + 3.38777e16i) q^{12} +3.10657e17 q^{13} +(-2.87721e18 - 5.97516e17i) q^{14} +(9.38438e18 - 8.72198e18i) q^{15} +(1.05820e19 - 1.83285e19i) q^{16} +(2.66416e19 - 1.53815e19i) q^{17} +(7.13384e19 + 1.47507e20i) q^{18} +(-1.75293e20 + 3.03616e20i) q^{19} -1.04879e21i q^{20} +(2.92821e19 + 1.43027e21i) q^{21} -3.80090e21 q^{22} +(9.62321e21 + 5.55596e21i) q^{23} +(-2.80533e21 - 8.62772e20i) q^{24} +(3.26482e22 + 5.65483e22i) q^{25} +(-2.37894e22 - 1.37348e22i) q^{26} +(6.22395e22 - 4.98891e22i) q^{27} +(8.73948e22 + 7.79534e22i) q^{28} -1.85980e23i q^{29} +(-1.10425e24 + 2.53005e23i) q^{30} +(1.35532e23 + 2.34748e23i) q^{31} +(-1.36708e24 + 7.89284e23i) q^{32} +(4.13243e23 + 1.80362e24i) q^{33} -2.72020e24 q^{34} +(-9.68426e24 - 2.01115e24i) q^{35} +(4.77136e23 - 6.51239e24i) q^{36} +(4.77122e24 - 8.26399e24i) q^{37} +(2.68471e25 - 1.55002e25i) q^{38} +(-3.93105e24 + 1.27819e25i) q^{39} +(1.01462e25 - 1.75738e25i) q^{40} -6.27853e25i q^{41} +(6.09929e25 - 1.10821e26i) q^{42} -3.24566e25 q^{43} +(1.31180e26 + 7.57368e25i) q^{44} +(2.40114e26 + 4.96486e26i) q^{45} +(-4.91282e26 - 8.50925e26i) q^{46} +(2.70699e26 + 1.56288e26i) q^{47} +(6.20219e26 + 6.67322e26i) q^{48} +(8.87388e26 - 6.57497e26i) q^{49} -5.77378e27i q^{50} +(2.95747e26 + 1.29080e27i) q^{51} +(5.47361e26 + 9.48057e26i) q^{52} +(-4.29863e27 + 2.48181e27i) q^{53} +(-6.97187e27 + 1.06865e27i) q^{54} -1.27932e28 q^{55} +(7.10269e26 + 2.15168e27i) q^{56} +(-1.02741e28 - 1.10544e28i) q^{57} +(-8.22256e27 + 1.42419e28i) q^{58} +(-1.99356e28 + 1.15098e28i) q^{59} +(4.31523e28 + 1.32714e28i) q^{60} +(1.80535e28 - 3.12696e28i) q^{61} -2.39686e28i q^{62} +(-5.92187e28 - 1.68938e28i) q^{63} +4.86854e28 q^{64} +(-8.00715e28 - 4.62293e28i) q^{65} +(4.80966e28 - 1.56387e29i) q^{66} +(3.94456e28 + 6.83218e28i) q^{67} +(9.38820e28 + 5.42028e28i) q^{68} +(-3.50371e29 + 3.25640e29i) q^{69} +(6.52681e29 + 5.82171e29i) q^{70} +2.16647e28i q^{71} +(7.09972e28 - 1.04507e29i) q^{72} +(-2.37821e29 - 4.11918e29i) q^{73} +(-7.30738e29 + 4.21892e29i) q^{74} +(-2.73980e30 + 6.27741e29i) q^{75} -1.23543e30 q^{76} +(9.50883e29 - 1.06605e30i) q^{77} +(8.66148e29 - 8.05010e29i) q^{78} +(-4.53909e29 + 7.86193e29i) q^{79} +(-5.45498e30 + 3.14944e30i) q^{80} +(1.26510e30 + 3.19213e30i) q^{81} +(-2.77587e30 + 4.80795e30i) q^{82} +5.24336e30i q^{83} +(-4.31327e30 + 2.60942e30i) q^{84} -9.15578e30 q^{85} +(2.48545e30 + 1.43498e30i) q^{86} +(7.65210e30 + 2.35339e30i) q^{87} +(1.46539e30 + 2.53813e30i) q^{88} +(-1.49370e31 - 8.62390e30i) q^{89} +(3.56334e30 - 4.86358e31i) q^{90} +(9.80372e30 - 3.23620e30i) q^{91} +3.91572e31i q^{92} +(-1.13737e31 + 2.60593e30i) q^{93} +(-1.38197e31 - 2.39363e31i) q^{94} +(9.03631e31 - 5.21712e31i) q^{95} +(-1.51759e31 - 6.62358e31i) q^{96} +4.47172e31 q^{97} +(-9.70235e31 + 1.11163e31i) q^{98} +(-7.94387e31 - 5.82014e30i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −76577.7 44212.2i −1.16848 0.674624i −0.215161 0.976579i \(-0.569028\pi\)
−0.953322 + 0.301955i \(0.902361\pi\)
\(3\) −1.26540e7 + 4.11448e7i −0.293960 + 0.955818i
\(4\) 1.76195e9 + 3.05178e9i 0.410235 + 0.710548i
\(5\) −2.57749e11 1.48811e11i −1.68918 0.975251i −0.955143 0.296146i \(-0.904299\pi\)
−0.734041 0.679105i \(-0.762368\pi\)
\(6\) 2.78812e12 2.59132e12i 0.988305 0.918545i
\(7\) 3.15580e13 1.04173e13i 0.949601 0.313463i
\(8\) 6.81818e13i 0.242230i
\(9\) −1.53277e15 1.04129e15i −0.827175 0.561944i
\(10\) 1.31586e16 + 2.27913e16i 1.31586 + 2.27913i
\(11\) 3.72259e16 2.14924e16i 0.810144 0.467737i −0.0368621 0.999320i \(-0.511736\pi\)
0.847006 + 0.531584i \(0.178403\pi\)
\(12\) −1.47861e17 + 3.38777e16i −0.799747 + 0.183237i
\(13\) 3.10657e17 0.466861 0.233430 0.972373i \(-0.425005\pi\)
0.233430 + 0.972373i \(0.425005\pi\)
\(14\) −2.87721e18 5.97516e17i −1.32106 0.274348i
\(15\) 9.38438e18 8.72198e18i 1.42871 1.32787i
\(16\) 1.05820e19 1.83285e19i 0.573649 0.993590i
\(17\) 2.66416e19 1.53815e19i 0.547491 0.316094i −0.200619 0.979669i \(-0.564295\pi\)
0.748109 + 0.663575i \(0.230962\pi\)
\(18\) 7.13384e19 + 1.47507e20i 0.587440 + 1.21465i
\(19\) −1.75293e20 + 3.03616e20i −0.607725 + 1.05261i 0.383890 + 0.923379i \(0.374584\pi\)
−0.991615 + 0.129231i \(0.958749\pi\)
\(20\) 1.04879e21i 1.60033i
\(21\) 2.92821e19 + 1.43027e21i 0.0204689 + 0.999790i
\(22\) −3.80090e21 −1.26219
\(23\) 9.62321e21 + 5.55596e21i 1.56919 + 0.905970i 0.996264 + 0.0863598i \(0.0275235\pi\)
0.572922 + 0.819610i \(0.305810\pi\)
\(24\) −2.80533e21 8.62772e20i −0.231528 0.0712060i
\(25\) 3.26482e22 + 5.65483e22i 1.40223 + 2.42873i
\(26\) −2.37894e22 1.37348e22i −0.545519 0.314956i
\(27\) 6.22395e22 4.98891e22i 0.780272 0.625440i
\(28\) 8.73948e22 + 7.79534e22i 0.612290 + 0.546143i
\(29\) 1.85980e23i 0.743186i −0.928396 0.371593i \(-0.878812\pi\)
0.928396 0.371593i \(-0.121188\pi\)
\(30\) −1.10425e24 + 2.53005e23i −2.56524 + 0.587746i
\(31\) 1.35532e23 + 2.34748e23i 0.186317 + 0.322711i 0.944020 0.329889i \(-0.107011\pi\)
−0.757702 + 0.652600i \(0.773678\pi\)
\(32\) −1.36708e24 + 7.89284e23i −1.13082 + 0.652880i
\(33\) 4.13243e23 + 1.80362e24i 0.208921 + 0.911845i
\(34\) −2.72020e24 −0.852978
\(35\) −9.68426e24 2.01115e24i −1.90975 0.396603i
\(36\) 4.77136e23 6.51239e24i 0.0599517 0.818277i
\(37\) 4.77122e24 8.26399e24i 0.386724 0.669826i −0.605282 0.796011i \(-0.706940\pi\)
0.992007 + 0.126185i \(0.0402731\pi\)
\(38\) 2.68471e25 1.55002e25i 1.42023 0.819971i
\(39\) −3.93105e24 + 1.27819e25i −0.137238 + 0.446234i
\(40\) 1.01462e25 1.75738e25i 0.236235 0.409172i
\(41\) 6.27853e25i 0.984727i −0.870390 0.492364i \(-0.836133\pi\)
0.870390 0.492364i \(-0.163867\pi\)
\(42\) 6.09929e25 1.10821e26i 0.650565 1.18205i
\(43\) −3.24566e25 −0.237579 −0.118789 0.992919i \(-0.537901\pi\)
−0.118789 + 0.992919i \(0.537901\pi\)
\(44\) 1.31180e26 + 7.57368e25i 0.664699 + 0.383764i
\(45\) 2.40114e26 + 4.96486e26i 0.849215 + 1.75593i
\(46\) −4.91282e26 8.50925e26i −1.22238 2.11722i
\(47\) 2.70699e26 + 1.56288e26i 0.477442 + 0.275651i 0.719350 0.694648i \(-0.244440\pi\)
−0.241908 + 0.970299i \(0.577773\pi\)
\(48\) 6.20219e26 + 6.67322e26i 0.781061 + 0.840380i
\(49\) 8.87388e26 6.57497e26i 0.803482 0.595329i
\(50\) 5.77378e27i 3.78391i
\(51\) 2.95747e26 + 1.29080e27i 0.141188 + 0.616220i
\(52\) 5.47361e26 + 9.48057e26i 0.191523 + 0.331727i
\(53\) −4.29863e27 + 2.48181e27i −1.10896 + 0.640258i −0.938560 0.345117i \(-0.887839\pi\)
−0.170400 + 0.985375i \(0.554506\pi\)
\(54\) −6.97187e27 + 1.06865e27i −1.33367 + 0.204426i
\(55\) −1.27932e28 −1.82464
\(56\) 7.10269e26 + 2.15168e27i 0.0759302 + 0.230022i
\(57\) −1.02741e28 1.10544e28i −0.827457 0.890299i
\(58\) −8.22256e27 + 1.42419e28i −0.501371 + 0.868400i
\(59\) −1.99356e28 + 1.15098e28i −0.924693 + 0.533872i −0.885129 0.465345i \(-0.845930\pi\)
−0.0395638 + 0.999217i \(0.512597\pi\)
\(60\) 4.31523e28 + 1.32714e28i 1.52962 + 0.470432i
\(61\) 1.80535e28 3.12696e28i 0.491229 0.850834i −0.508720 0.860932i \(-0.669881\pi\)
0.999949 + 0.0100982i \(0.00321442\pi\)
\(62\) 2.39686e28i 0.502777i
\(63\) −5.92187e28 1.68938e28i −0.961635 0.274334i
\(64\) 4.86854e28 0.614496
\(65\) −8.00715e28 4.62293e28i −0.788614 0.455307i
\(66\) 4.80966e28 1.56387e29i 0.371032 1.20642i
\(67\) 3.94456e28 + 6.83218e28i 0.239222 + 0.414345i 0.960491 0.278310i \(-0.0897742\pi\)
−0.721269 + 0.692655i \(0.756441\pi\)
\(68\) 9.38820e28 + 5.42028e28i 0.449200 + 0.259346i
\(69\) −3.50371e29 + 3.25640e29i −1.32722 + 1.23354i
\(70\) 6.52681e29 + 5.82171e29i 1.96396 + 1.75179i
\(71\) 2.16647e28i 0.0519540i 0.999663 + 0.0259770i \(0.00826966\pi\)
−0.999663 + 0.0259770i \(0.991730\pi\)
\(72\) 7.09972e28 1.04507e29i 0.136120 0.200367i
\(73\) −2.37821e29 4.11918e29i −0.365665 0.633351i 0.623217 0.782049i \(-0.285825\pi\)
−0.988883 + 0.148698i \(0.952492\pi\)
\(74\) −7.30738e29 + 4.21892e29i −0.903762 + 0.521787i
\(75\) −2.73980e30 + 6.27741e29i −2.73362 + 0.626326i
\(76\) −1.23543e30 −0.997240
\(77\) 9.50883e29 1.06605e30i 0.622695 0.698113i
\(78\) 8.66148e29 8.05010e29i 0.461401 0.428833i
\(79\) −4.53909e29 + 7.86193e29i −0.197213 + 0.341583i −0.947624 0.319389i \(-0.896522\pi\)
0.750411 + 0.660972i \(0.229856\pi\)
\(80\) −5.45498e30 + 3.14944e30i −1.93800 + 1.11890i
\(81\) 1.26510e30 + 3.19213e30i 0.368438 + 0.929652i
\(82\) −2.77587e30 + 4.80795e30i −0.664321 + 1.15064i
\(83\) 5.24336e30i 1.03362i 0.856100 + 0.516810i \(0.172880\pi\)
−0.856100 + 0.516810i \(0.827120\pi\)
\(84\) −4.31327e30 + 2.60942e30i −0.702002 + 0.424693i
\(85\) −9.15578e30 −1.23308
\(86\) 2.48545e30 + 1.43498e30i 0.277607 + 0.160276i
\(87\) 7.65210e30 + 2.35339e30i 0.710350 + 0.218467i
\(88\) 1.46539e30 + 2.53813e30i 0.113300 + 0.196241i
\(89\) −1.49370e31 8.62390e30i −0.963883 0.556498i −0.0665172 0.997785i \(-0.521189\pi\)
−0.897366 + 0.441287i \(0.854522\pi\)
\(90\) 3.56334e30 4.86358e31i 0.192299 2.62468i
\(91\) 9.80372e30 3.23620e30i 0.443331 0.146343i
\(92\) 3.91572e31i 1.48664i
\(93\) −1.13737e31 + 2.60593e30i −0.363223 + 0.0832214i
\(94\) −1.38197e31 2.39363e31i −0.371922 0.644187i
\(95\) 9.03631e31 5.21712e31i 2.05312 1.18537i
\(96\) −1.51759e31 6.62358e31i −0.291618 1.27278i
\(97\) 4.47172e31 0.727993 0.363996 0.931400i \(-0.381412\pi\)
0.363996 + 0.931400i \(0.381412\pi\)
\(98\) −9.70235e31 + 1.11163e31i −1.34048 + 0.153583i
\(99\) −7.94387e31 5.82014e30i −0.932973 0.0683550i
\(100\) −1.15049e32 + 1.99270e32i −1.15049 + 1.99270i
\(101\) −1.53777e32 + 8.87835e31i −1.31145 + 0.757164i −0.982336 0.187127i \(-0.940082\pi\)
−0.329111 + 0.944291i \(0.606749\pi\)
\(102\) 3.44214e31 1.11922e32i 0.250741 0.815292i
\(103\) −4.04504e31 + 7.00621e31i −0.252073 + 0.436604i −0.964096 0.265552i \(-0.914446\pi\)
0.712023 + 0.702156i \(0.247779\pi\)
\(104\) 2.11812e31i 0.113088i
\(105\) 2.05293e32 3.73008e32i 0.940471 1.70879i
\(106\) 4.38905e32 1.72773
\(107\) 3.94545e32 + 2.27791e32i 1.33646 + 0.771607i 0.986281 0.165075i \(-0.0527867\pi\)
0.350181 + 0.936682i \(0.386120\pi\)
\(108\) 2.61913e32 + 1.02039e32i 0.764500 + 0.297843i
\(109\) −2.26084e32 3.91589e32i −0.569438 0.986295i −0.996622 0.0821302i \(-0.973828\pi\)
0.427184 0.904165i \(-0.359506\pi\)
\(110\) 9.79677e32 + 5.65617e32i 2.13206 + 1.23095i
\(111\) 2.79645e32 + 3.00883e32i 0.526551 + 0.566540i
\(112\) 1.43013e32 6.88646e32i 0.233284 1.12333i
\(113\) 1.22711e33i 1.73631i 0.496295 + 0.868154i \(0.334694\pi\)
−0.496295 + 0.868154i \(0.665306\pi\)
\(114\) 2.98028e32 + 1.30076e33i 0.366252 + 1.59852i
\(115\) −1.65358e33 2.86409e33i −1.76710 3.06070i
\(116\) 5.67569e32 3.27686e32i 0.528069 0.304881i
\(117\) −4.76167e32 3.23485e32i −0.386176 0.262350i
\(118\) 2.03550e33 1.44065
\(119\) 6.80521e32 7.62942e32i 0.420814 0.471781i
\(120\) 5.94680e32 + 6.39844e32i 0.321650 + 0.346078i
\(121\) −1.31845e32 + 2.28362e32i −0.0624449 + 0.108158i
\(122\) −2.76499e33 + 1.59637e33i −1.14799 + 0.662790i
\(123\) 2.58329e33 + 7.94485e32i 0.941220 + 0.289470i
\(124\) −4.77599e32 + 8.27225e32i −0.152868 + 0.264775i
\(125\) 1.25041e34i 3.51959i
\(126\) 3.78792e33 + 3.91188e33i 0.938582 + 0.969296i
\(127\) −1.44783e32 −0.0316125 −0.0158063 0.999875i \(-0.505032\pi\)
−0.0158063 + 0.999875i \(0.505032\pi\)
\(128\) 2.14335e33 + 1.23746e33i 0.412794 + 0.238327i
\(129\) 4.10706e32 1.33542e33i 0.0698386 0.227082i
\(130\) 4.08780e33 + 7.08027e33i 0.614321 + 1.06404i
\(131\) −4.02373e33 2.32310e33i −0.534919 0.308836i 0.208098 0.978108i \(-0.433273\pi\)
−0.743017 + 0.669272i \(0.766606\pi\)
\(132\) −4.77613e33 + 4.43900e33i −0.562203 + 0.522520i
\(133\) −2.36904e33 + 1.14076e34i −0.247142 + 1.19006i
\(134\) 6.97590e33i 0.645540i
\(135\) −2.34663e34 + 3.59692e33i −1.92798 + 0.295522i
\(136\) 1.04874e33 + 1.81647e33i 0.0765675 + 0.132619i
\(137\) 1.38883e34 8.01841e33i 0.901820 0.520666i 0.0240296 0.999711i \(-0.492350\pi\)
0.877790 + 0.479045i \(0.159017\pi\)
\(138\) 4.12279e34 9.44610e33i 2.38301 0.545993i
\(139\) −1.41896e33 −0.0730691 −0.0365346 0.999332i \(-0.511632\pi\)
−0.0365346 + 0.999332i \(0.511632\pi\)
\(140\) −1.09256e34 3.30978e34i −0.501643 1.51967i
\(141\) −9.85586e33 + 9.16018e33i −0.403821 + 0.375317i
\(142\) 9.57842e32 1.65903e33i 0.0350494 0.0607073i
\(143\) 1.15645e34 6.67676e33i 0.378224 0.218368i
\(144\) −3.53051e34 + 1.70745e34i −1.03285 + 0.499514i
\(145\) −2.76759e34 + 4.79361e34i −0.724793 + 1.25538i
\(146\) 4.20583e34i 0.986747i
\(147\) 1.58236e34 + 4.48314e34i 0.332834 + 0.942985i
\(148\) 3.36265e34 0.634592
\(149\) 3.44774e33 + 1.99055e33i 0.0584190 + 0.0337282i 0.528925 0.848669i \(-0.322595\pi\)
−0.470506 + 0.882397i \(0.655929\pi\)
\(150\) 2.37561e35 + 7.30615e34i 3.61673 + 1.11232i
\(151\) 9.40127e33 + 1.62835e34i 0.128693 + 0.222903i 0.923171 0.384391i \(-0.125588\pi\)
−0.794477 + 0.607294i \(0.792255\pi\)
\(152\) −2.07011e34 1.19518e34i −0.254974 0.147209i
\(153\) −5.68521e34 4.16532e33i −0.630498 0.0461940i
\(154\) −1.19949e35 + 3.95950e34i −1.19857 + 0.395648i
\(155\) 8.06746e34i 0.726825i
\(156\) −4.59339e34 + 1.05244e34i −0.373371 + 0.0855464i
\(157\) 9.46820e34 + 1.63994e35i 0.694821 + 1.20347i 0.970241 + 0.242142i \(0.0778499\pi\)
−0.275420 + 0.961324i \(0.588817\pi\)
\(158\) 6.95186e34 4.01366e34i 0.460880 0.266089i
\(159\) −4.77189e34 2.08271e35i −0.285981 1.24817i
\(160\) 4.69818e35 2.54689
\(161\) 3.61567e35 + 7.50874e34i 1.77409 + 0.368428i
\(162\) 4.42526e34 3.00379e35i 0.196652 1.33484i
\(163\) 4.14628e34 7.18156e34i 0.166977 0.289213i −0.770379 0.637587i \(-0.779933\pi\)
0.937356 + 0.348374i \(0.113266\pi\)
\(164\) 1.91607e35 1.10624e35i 0.699696 0.403970i
\(165\) 1.61886e35 5.26376e35i 0.536371 1.74403i
\(166\) 2.31820e35 4.01525e35i 0.697304 1.20777i
\(167\) 4.75238e35i 1.29852i 0.760568 + 0.649258i \(0.224920\pi\)
−0.760568 + 0.649258i \(0.775080\pi\)
\(168\) −9.75183e34 + 1.99651e33i −0.242180 + 0.00495818i
\(169\) −3.46271e35 −0.782041
\(170\) 7.01128e35 + 4.04797e35i 1.44084 + 0.831868i
\(171\) 5.84838e35 2.82843e35i 1.09420 0.529186i
\(172\) −5.71867e34 9.90503e34i −0.0974631 0.168811i
\(173\) 2.53372e35 + 1.46285e35i 0.393570 + 0.227227i 0.683706 0.729758i \(-0.260367\pi\)
−0.290136 + 0.956985i \(0.593701\pi\)
\(174\) −4.81932e35 5.18533e35i −0.682649 0.734494i
\(175\) 1.61939e36 + 1.44445e36i 2.09287 + 1.86678i
\(176\) 9.09726e35i 1.07327i
\(177\) −2.21305e35 9.65893e35i −0.238462 1.04077i
\(178\) 7.62563e35 + 1.32080e36i 0.750854 + 1.30052i
\(179\) 1.46388e36 8.45174e35i 1.31783 0.760848i 0.334448 0.942414i \(-0.391450\pi\)
0.983379 + 0.181567i \(0.0581168\pi\)
\(180\) −1.09210e36 + 1.60756e36i −0.899295 + 1.32375i
\(181\) −6.81525e34 −0.0513599 −0.0256800 0.999670i \(-0.508175\pi\)
−0.0256800 + 0.999670i \(0.508175\pi\)
\(182\) −8.93826e35 1.85623e35i −0.616752 0.128082i
\(183\) 1.05813e36 + 1.13849e36i 0.668841 + 0.719637i
\(184\) −3.78815e35 + 6.56127e35i −0.219453 + 0.380104i
\(185\) −2.45955e36 + 1.42002e36i −1.30650 + 0.754307i
\(186\) 9.86183e35 + 3.03298e35i 0.480563 + 0.147796i
\(187\) 6.61170e35 1.14518e36i 0.295697 0.512163i
\(188\) 1.10148e36i 0.452327i
\(189\) 1.44445e36 2.22277e36i 0.544895 0.838504i
\(190\) −9.22640e36 −3.19871
\(191\) 2.64657e36 + 1.52800e36i 0.843624 + 0.487067i 0.858495 0.512823i \(-0.171400\pi\)
−0.0148703 + 0.999889i \(0.504734\pi\)
\(192\) −6.16065e35 + 2.00315e36i −0.180637 + 0.587346i
\(193\) −1.74389e35 3.02051e35i −0.0470547 0.0815012i 0.841539 0.540197i \(-0.181650\pi\)
−0.888593 + 0.458696i \(0.848317\pi\)
\(194\) −3.42434e36 1.97704e36i −0.850647 0.491121i
\(195\) 2.91532e36 2.70954e36i 0.667011 0.619930i
\(196\) 3.57007e36 + 1.54964e36i 0.752626 + 0.326688i
\(197\) 2.23591e36i 0.434504i −0.976116 0.217252i \(-0.930291\pi\)
0.976116 0.217252i \(-0.0697093\pi\)
\(198\) 5.82591e36 + 3.95785e36i 1.04405 + 0.709277i
\(199\) −1.84999e36 3.20427e36i −0.305858 0.529762i 0.671594 0.740919i \(-0.265610\pi\)
−0.977452 + 0.211158i \(0.932277\pi\)
\(200\) −3.85556e36 + 2.22601e36i −0.588312 + 0.339662i
\(201\) −3.31023e36 + 7.58438e35i −0.466360 + 0.106852i
\(202\) 1.57012e37 2.04320
\(203\) −1.93740e36 5.86915e36i −0.232961 0.705730i
\(204\) −3.41815e36 + 3.17687e36i −0.379934 + 0.353116i
\(205\) −9.34317e36 + 1.61828e37i −0.960356 + 1.66339i
\(206\) 6.19519e36 3.57680e36i 0.589087 0.340109i
\(207\) −8.96480e36 1.85366e37i −0.788888 1.63119i
\(208\) 3.28736e36 5.69388e36i 0.267815 0.463868i
\(209\) 1.50698e37i 1.13702i
\(210\) −3.22123e37 + 1.94876e37i −2.25172 + 1.36223i
\(211\) −1.13488e37 −0.735242 −0.367621 0.929976i \(-0.619828\pi\)
−0.367621 + 0.929976i \(0.619828\pi\)
\(212\) −1.51479e37 8.74564e36i −0.909868 0.525313i
\(213\) −8.91389e35 2.74145e35i −0.0496585 0.0152724i
\(214\) −2.01423e37 3.48874e37i −1.04109 1.80322i
\(215\) 8.36565e36 + 4.82991e36i 0.401314 + 0.231699i
\(216\) 3.40153e36 + 4.24360e36i 0.151501 + 0.189006i
\(217\) 6.72254e36 + 5.99630e36i 0.278085 + 0.248043i
\(218\) 3.99827e37i 1.53663i
\(219\) 1.99577e37 4.57269e36i 0.712859 0.163330i
\(220\) −2.25410e37 3.90422e37i −0.748532 1.29650i
\(221\) 8.27639e36 4.77837e36i 0.255602 0.147572i
\(222\) −8.11190e36 3.54047e37i −0.233064 1.01722i
\(223\) −4.35807e36 −0.116524 −0.0582622 0.998301i \(-0.518556\pi\)
−0.0582622 + 0.998301i \(0.518556\pi\)
\(224\) −3.49201e37 + 3.91495e37i −0.869175 + 0.974446i
\(225\) 8.84113e36 1.20672e38i 0.204922 2.79696i
\(226\) 5.42530e37 9.39689e37i 1.17136 2.02885i
\(227\) 2.03368e37 1.17415e37i 0.409137 0.236215i −0.281282 0.959625i \(-0.590760\pi\)
0.690419 + 0.723410i \(0.257426\pi\)
\(228\) 1.56331e37 5.08314e37i 0.293148 0.953179i
\(229\) −3.28741e36 + 5.69397e36i −0.0574760 + 0.0995514i −0.893332 0.449398i \(-0.851639\pi\)
0.835856 + 0.548949i \(0.184972\pi\)
\(230\) 2.92434e38i 4.76850i
\(231\) 3.18299e37 + 5.26137e37i 0.484221 + 0.800400i
\(232\) 1.26804e37 0.180022
\(233\) 1.06327e38 + 6.13879e37i 1.40912 + 0.813557i 0.995304 0.0968023i \(-0.0308615\pi\)
0.413819 + 0.910359i \(0.364195\pi\)
\(234\) 2.21618e37 + 4.58241e37i 0.274253 + 0.567075i
\(235\) −4.65149e37 8.05661e37i −0.537658 0.931251i
\(236\) −7.02510e37 4.05594e37i −0.758683 0.438026i
\(237\) −2.66040e37 2.86245e37i −0.268518 0.288911i
\(238\) −8.58441e37 + 2.83371e37i −0.809989 + 0.267377i
\(239\) 1.48600e38i 1.31115i 0.755130 + 0.655575i \(0.227574\pi\)
−0.755130 + 0.655575i \(0.772426\pi\)
\(240\) −6.05556e37 2.64297e38i −0.499775 2.18129i
\(241\) 1.00515e37 + 1.74097e37i 0.0776174 + 0.134437i 0.902221 0.431273i \(-0.141935\pi\)
−0.824604 + 0.565710i \(0.808602\pi\)
\(242\) 2.01927e37 1.16583e37i 0.145932 0.0842536i
\(243\) −1.47348e38 + 1.16591e37i −0.996884 + 0.0788794i
\(244\) 1.27237e38 0.806078
\(245\) −3.26567e38 + 3.74158e37i −1.93782 + 0.222023i
\(246\) −1.62696e38 1.75053e38i −0.904516 0.973211i
\(247\) −5.44560e37 + 9.43205e37i −0.283723 + 0.491422i
\(248\) −1.60055e37 + 9.24078e36i −0.0781704 + 0.0451317i
\(249\) −2.15737e38 6.63495e37i −0.987952 0.303842i
\(250\) −5.52834e38 + 9.57536e38i −2.37440 + 4.11259i
\(251\) 9.34538e37i 0.376546i −0.982117 0.188273i \(-0.939711\pi\)
0.982117 0.188273i \(-0.0602889\pi\)
\(252\) −5.27839e37 2.10488e38i −0.199569 0.795829i
\(253\) 4.77643e38 1.69502
\(254\) 1.10872e37 + 6.40119e36i 0.0369387 + 0.0213266i
\(255\) 1.15857e38 3.76713e38i 0.362477 1.17860i
\(256\) −2.13973e38 3.70612e38i −0.628810 1.08913i
\(257\) 3.47360e38 + 2.00549e38i 0.959070 + 0.553719i 0.895887 0.444283i \(-0.146541\pi\)
0.0631834 + 0.998002i \(0.479875\pi\)
\(258\) −9.04927e37 + 8.41052e37i −0.234800 + 0.218227i
\(259\) 6.44818e37 3.10498e38i 0.157268 0.757291i
\(260\) 3.25814e38i 0.747131i
\(261\) −1.93659e38 + 2.85065e38i −0.417629 + 0.614745i
\(262\) 2.05419e38 + 3.55796e38i 0.416696 + 0.721739i
\(263\) −2.45720e38 + 1.41866e38i −0.468973 + 0.270762i −0.715810 0.698295i \(-0.753942\pi\)
0.246837 + 0.969057i \(0.420609\pi\)
\(264\) −1.22974e38 + 2.81757e37i −0.220877 + 0.0506071i
\(265\) 1.47729e39 2.49765
\(266\) 6.85770e38 7.68827e38i 1.09162 1.22383i
\(267\) 5.43842e38 5.05455e38i 0.815254 0.757709i
\(268\) −1.39002e38 + 2.40759e38i −0.196275 + 0.339958i
\(269\) −9.65522e38 + 5.57444e38i −1.28447 + 0.741592i −0.977663 0.210178i \(-0.932596\pi\)
−0.306812 + 0.951770i \(0.599262\pi\)
\(270\) 1.95602e39 + 7.62050e38i 2.45218 + 0.955352i
\(271\) 4.61853e38 7.99954e38i 0.545752 0.945271i −0.452807 0.891609i \(-0.649577\pi\)
0.998559 0.0536621i \(-0.0170894\pi\)
\(272\) 6.51066e38i 0.725308i
\(273\) 9.09670e36 + 4.44323e38i 0.00955611 + 0.466763i
\(274\) −1.41804e39 −1.40501
\(275\) 2.43071e39 + 1.40337e39i 2.27201 + 1.31175i
\(276\) −1.61112e39 4.95495e38i −1.42096 0.437013i
\(277\) −1.60357e38 2.77746e38i −0.133478 0.231191i 0.791537 0.611121i \(-0.209281\pi\)
−0.925015 + 0.379930i \(0.875948\pi\)
\(278\) 1.08661e38 + 6.27354e37i 0.0853800 + 0.0492942i
\(279\) 3.67020e37 5.00943e38i 0.0272284 0.371639i
\(280\) 1.37124e38 6.60290e38i 0.0960692 0.462601i
\(281\) 8.26175e38i 0.546727i 0.961911 + 0.273364i \(0.0881362\pi\)
−0.961911 + 0.273364i \(0.911864\pi\)
\(282\) 1.15973e39 2.65717e38i 0.725055 0.166124i
\(283\) 2.90089e38 + 5.02449e38i 0.171375 + 0.296831i 0.938901 0.344187i \(-0.111846\pi\)
−0.767526 + 0.641018i \(0.778512\pi\)
\(284\) −6.61158e37 + 3.81720e37i −0.0369158 + 0.0213133i
\(285\) 1.00312e39 + 4.37815e39i 0.529462 + 2.31086i
\(286\) −1.18078e39 −0.589265
\(287\) −6.54052e38 1.98138e39i −0.308675 0.935098i
\(288\) 2.91730e39 + 2.13738e38i 1.30227 + 0.0954119i
\(289\) −7.10774e38 + 1.23110e39i −0.300169 + 0.519908i
\(290\) 4.23871e39 2.44722e39i 1.69382 0.977925i
\(291\) −5.65852e38 + 1.83988e39i −0.214001 + 0.695828i
\(292\) 8.38055e38 1.45155e39i 0.300018 0.519646i
\(293\) 3.41793e39i 1.15846i 0.815165 + 0.579229i \(0.196646\pi\)
−0.815165 + 0.579229i \(0.803354\pi\)
\(294\) 7.70358e38 4.13268e39i 0.247249 1.32640i
\(295\) 6.85118e39 2.08264
\(296\) 5.63454e38 + 3.25310e38i 0.162252 + 0.0936764i
\(297\) 1.24469e39 3.19484e39i 0.339591 0.871658i
\(298\) −1.76013e38 3.04864e38i −0.0455077 0.0788217i
\(299\) 2.98952e39 + 1.72600e39i 0.732592 + 0.422962i
\(300\) −6.74311e39 7.25522e39i −1.56646 1.68543i
\(301\) −1.02426e39 + 3.38109e38i −0.225605 + 0.0744720i
\(302\) 1.66260e39i 0.347278i
\(303\) −1.70708e39 7.45061e39i −0.338199 1.47608i
\(304\) 3.70989e39 + 6.42571e39i 0.697242 + 1.20766i
\(305\) −9.30655e39 + 5.37314e39i −1.65955 + 0.958143i
\(306\) 4.16945e39 + 2.83252e39i 0.705563 + 0.479326i
\(307\) −9.35036e39 −1.50181 −0.750903 0.660412i \(-0.770382\pi\)
−0.750903 + 0.660412i \(0.770382\pi\)
\(308\) 4.92875e39 + 1.02356e39i 0.751494 + 0.156064i
\(309\) −2.37083e39 2.55089e39i −0.343214 0.369280i
\(310\) −3.56680e39 + 6.17788e39i −0.490333 + 0.849282i
\(311\) −2.07886e39 + 1.20023e39i −0.271431 + 0.156711i −0.629538 0.776970i \(-0.716756\pi\)
0.358107 + 0.933681i \(0.383422\pi\)
\(312\) −8.71495e38 2.68026e38i −0.108091 0.0332433i
\(313\) 4.55013e39 7.88105e39i 0.536185 0.928699i −0.462920 0.886400i \(-0.653198\pi\)
0.999105 0.0422991i \(-0.0134682\pi\)
\(314\) 1.67444e40i 1.87497i
\(315\) 1.27496e40 + 1.31668e40i 1.35683 + 1.40123i
\(316\) −3.19905e39 −0.323614
\(317\) −1.64822e40 9.51602e39i −1.58514 0.915181i −0.994092 0.108545i \(-0.965381\pi\)
−0.591049 0.806636i \(-0.701286\pi\)
\(318\) −5.55391e39 + 1.80587e40i −0.507884 + 1.65140i
\(319\) −3.99714e39 6.92326e39i −0.347615 0.602087i
\(320\) −1.25486e40 7.24494e39i −1.03800 0.599287i
\(321\) −1.43650e40 + 1.33510e40i −1.13038 + 1.05059i
\(322\) −2.43682e40 2.17357e40i −1.82444 1.62734i
\(323\) 1.07851e40i 0.768392i
\(324\) −7.51265e39 + 9.48517e39i −0.509416 + 0.643169i
\(325\) 1.01424e40 + 1.75671e40i 0.654646 + 1.13388i
\(326\) −6.35025e39 + 3.66632e39i −0.390220 + 0.225293i
\(327\) 1.89727e40 4.34702e39i 1.11011 0.254348i
\(328\) 4.28081e39 0.238531
\(329\) 1.01708e40 + 2.11219e39i 0.539785 + 0.112098i
\(330\) −3.56690e40 + 3.31513e40i −1.80330 + 1.67602i
\(331\) −1.73748e40 + 3.00940e40i −0.836897 + 1.44955i 0.0555798 + 0.998454i \(0.482299\pi\)
−0.892477 + 0.451094i \(0.851034\pi\)
\(332\) −1.60016e40 + 9.23852e39i −0.734436 + 0.424027i
\(333\) −1.59184e40 + 7.69858e39i −0.696294 + 0.336746i
\(334\) 2.10113e40 3.63926e40i 0.876010 1.51729i
\(335\) 2.34798e40i 0.933207i
\(336\) 2.65245e40 + 1.45984e40i 1.00512 + 0.553192i
\(337\) 4.50033e40 1.62617 0.813086 0.582144i \(-0.197786\pi\)
0.813086 + 0.582144i \(0.197786\pi\)
\(338\) 2.65167e40 + 1.53094e40i 0.913801 + 0.527584i
\(339\) −5.04890e40 1.55278e40i −1.65959 0.510405i
\(340\) −1.61320e40 2.79414e40i −0.505854 0.876165i
\(341\) 1.00906e40 + 5.82579e39i 0.301888 + 0.174295i
\(342\) −5.72906e40 4.19745e39i −1.63556 0.119831i
\(343\) 2.11549e40 2.99935e40i 0.576374 0.817186i
\(344\) 2.21295e39i 0.0575488i
\(345\) 1.38767e41 3.17941e40i 3.44493 0.789299i
\(346\) −1.29351e40 2.24043e40i −0.306586 0.531023i
\(347\) 2.52021e40 1.45505e40i 0.570382 0.329310i −0.186920 0.982375i \(-0.559850\pi\)
0.757302 + 0.653065i \(0.226517\pi\)
\(348\) 6.30057e39 + 2.74991e40i 0.136180 + 0.594361i
\(349\) 5.51746e40 1.13902 0.569511 0.821984i \(-0.307133\pi\)
0.569511 + 0.821984i \(0.307133\pi\)
\(350\) −6.01471e40 1.82209e41i −1.18611 3.59320i
\(351\) 1.93352e40 1.54984e40i 0.364279 0.291994i
\(352\) −3.39272e40 + 5.87636e40i −0.610752 + 1.05785i
\(353\) −5.83224e40 + 3.36724e40i −1.00332 + 0.579268i −0.909229 0.416296i \(-0.863328\pi\)
−0.0940918 + 0.995564i \(0.529995\pi\)
\(354\) −2.57572e40 + 8.37502e40i −0.423493 + 1.37700i
\(355\) 3.22395e39 5.58405e39i 0.0506681 0.0877598i
\(356\) 6.07794e40i 0.913180i
\(357\) 2.27798e40 + 3.76542e40i 0.327234 + 0.540906i
\(358\) −1.49468e41 −2.05314
\(359\) 1.30852e40 + 7.55472e39i 0.171897 + 0.0992447i 0.583480 0.812128i \(-0.301691\pi\)
−0.411583 + 0.911372i \(0.635024\pi\)
\(360\) −3.38513e40 + 1.63714e40i −0.425340 + 0.205706i
\(361\) −1.98560e40 3.43916e40i −0.238658 0.413368i
\(362\) 5.21896e39 + 3.01317e39i 0.0600132 + 0.0346487i
\(363\) −7.72754e39 8.31442e39i −0.0850228 0.0914799i
\(364\) 2.71498e40 + 2.42168e40i 0.285854 + 0.254973i
\(365\) 1.41562e41i 1.42646i
\(366\) −3.06941e40 1.33966e41i −0.296045 1.29210i
\(367\) −4.54542e40 7.87291e40i −0.419679 0.726906i 0.576228 0.817289i \(-0.304524\pi\)
−0.995907 + 0.0903834i \(0.971191\pi\)
\(368\) 2.03665e41 1.17586e41i 1.80033 1.03942i
\(369\) −6.53779e40 + 9.62355e40i −0.553362 + 0.814542i
\(370\) 2.51129e41 2.03549
\(371\) −1.09802e41 + 1.23101e41i −0.852372 + 0.955607i
\(372\) −2.79925e40 3.01184e40i −0.208140 0.223947i
\(373\) 3.39085e39 5.87312e39i 0.0241528 0.0418338i −0.853696 0.520771i \(-0.825645\pi\)
0.877849 + 0.478937i \(0.158978\pi\)
\(374\) −1.01262e41 + 5.84635e40i −0.691035 + 0.398969i
\(375\) 5.14479e41 + 1.58227e41i 3.36409 + 1.03462i
\(376\) −1.06560e40 + 1.84567e40i −0.0667710 + 0.115651i
\(377\) 5.77759e40i 0.346964i
\(378\) −2.08886e41 + 1.06352e41i −1.20238 + 0.612179i
\(379\) 9.29778e40 0.513041 0.256520 0.966539i \(-0.417424\pi\)
0.256520 + 0.966539i \(0.417424\pi\)
\(380\) 3.18430e41 + 1.83846e41i 1.68452 + 0.972559i
\(381\) 1.83209e39 5.95709e39i 0.00929281 0.0302158i
\(382\) −1.35112e41 2.34021e41i −0.657174 1.13826i
\(383\) −6.32997e40 3.65461e40i −0.295271 0.170475i 0.345045 0.938586i \(-0.387864\pi\)
−0.640317 + 0.768111i \(0.721197\pi\)
\(384\) −7.80371e40 + 7.25288e40i −0.349142 + 0.324497i
\(385\) −4.03729e41 + 1.33271e41i −1.73268 + 0.571957i
\(386\) 3.08405e40i 0.126977i
\(387\) 4.97486e40 + 3.37968e40i 0.196519 + 0.133506i
\(388\) 7.87893e40 + 1.36467e41i 0.298648 + 0.517274i
\(389\) −7.70419e40 + 4.44802e40i −0.280242 + 0.161798i −0.633533 0.773716i \(-0.718396\pi\)
0.353291 + 0.935514i \(0.385063\pi\)
\(390\) −3.43044e41 + 7.85979e40i −1.19761 + 0.274396i
\(391\) 3.41836e41 1.14549
\(392\) 4.48293e40 + 6.05037e40i 0.144207 + 0.194628i
\(393\) 1.46500e41 1.36159e41i 0.452436 0.420500i
\(394\) −9.88542e40 + 1.71220e41i −0.293127 + 0.507711i
\(395\) 2.33989e41 1.35094e41i 0.666257 0.384664i
\(396\) −1.22205e41 2.52684e41i −0.334169 0.690963i
\(397\) −9.95379e40 + 1.72405e41i −0.261421 + 0.452794i −0.966620 0.256215i \(-0.917524\pi\)
0.705199 + 0.709010i \(0.250858\pi\)
\(398\) 3.27168e41i 0.825357i
\(399\) −4.39386e41 2.41825e41i −1.06483 0.586051i
\(400\) 1.38193e42 3.21755
\(401\) −1.74281e41 1.00621e41i −0.389888 0.225102i 0.292224 0.956350i \(-0.405605\pi\)
−0.682111 + 0.731248i \(0.738938\pi\)
\(402\) 2.87022e41 + 8.82731e40i 0.617019 + 0.189763i
\(403\) 4.21038e40 + 7.29260e40i 0.0869843 + 0.150661i
\(404\) −5.41895e41 3.12863e41i −1.07600 0.621231i
\(405\) 1.48947e41 1.01103e42i 0.284284 1.92967i
\(406\) −1.11126e41 + 5.35103e41i −0.203891 + 0.981794i
\(407\) 4.10179e41i 0.723541i
\(408\) −8.80090e40 + 2.01646e40i −0.149267 + 0.0342000i
\(409\) −2.79535e41 4.84169e41i −0.455893 0.789630i 0.542846 0.839832i \(-0.317347\pi\)
−0.998739 + 0.0502021i \(0.984013\pi\)
\(410\) 1.43096e42 8.26163e41i 2.24432 1.29576i
\(411\) 1.54174e41 + 6.72896e41i 0.232563 + 1.01503i
\(412\) −2.85085e41 −0.413637
\(413\) −5.09227e41 + 5.70903e41i −0.710740 + 0.796822i
\(414\) −1.33039e41 + 1.81584e42i −0.178638 + 2.43822i
\(415\) 7.80273e41 1.35147e42i 1.00804 1.74597i
\(416\) −4.24693e41 + 2.45197e41i −0.527937 + 0.304804i
\(417\) 1.79555e40 5.83829e40i 0.0214794 0.0698408i
\(418\) 6.66270e41 1.15401e42i 0.767061 1.32859i
\(419\) 1.08965e41i 0.120743i 0.998176 + 0.0603714i \(0.0192285\pi\)
−0.998176 + 0.0603714i \(0.980772\pi\)
\(420\) 1.50005e42 3.07108e40i 1.59999 0.0327569i
\(421\) −1.71758e42 −1.76362 −0.881808 0.471609i \(-0.843673\pi\)
−0.881808 + 0.471609i \(0.843673\pi\)
\(422\) 8.69065e41 + 5.01755e41i 0.859118 + 0.496012i
\(423\) −2.52178e41 5.21430e41i −0.240028 0.496307i
\(424\) −1.69214e41 2.93088e41i −0.155090 0.268624i
\(425\) 1.73960e42 + 1.00436e42i 1.53541 + 0.886472i
\(426\) 5.61400e40 + 6.04036e40i 0.0477220 + 0.0513463i
\(427\) 2.43989e41 1.17487e42i 0.199767 0.961934i
\(428\) 1.60542e42i 1.26616i
\(429\) 1.28377e41 + 5.60306e41i 0.0975373 + 0.425705i
\(430\) −4.27082e41 7.39727e41i −0.312619 0.541472i
\(431\) −3.36460e41 + 1.94256e41i −0.237300 + 0.137005i −0.613935 0.789356i \(-0.710414\pi\)
0.376635 + 0.926362i \(0.377081\pi\)
\(432\) −2.55776e41 1.66868e42i −0.173828 1.13405i
\(433\) −3.33818e40 −0.0218627 −0.0109313 0.999940i \(-0.503480\pi\)
−0.0109313 + 0.999940i \(0.503480\pi\)
\(434\) −2.49687e41 7.56401e41i −0.157602 0.477437i
\(435\) −1.62211e42 1.74530e42i −0.986852 1.06180i
\(436\) 7.96696e41 1.37992e42i 0.467207 0.809226i
\(437\) −3.37376e42 + 1.94784e42i −1.90727 + 1.10116i
\(438\) −1.73048e42 5.32205e41i −0.943150 0.290064i
\(439\) −3.84860e41 + 6.66597e41i −0.202242 + 0.350293i −0.949250 0.314522i \(-0.898156\pi\)
0.747009 + 0.664814i \(0.231489\pi\)
\(440\) 8.72266e41i 0.441984i
\(441\) −2.04481e42 + 8.37626e40i −0.999162 + 0.0409292i
\(442\) −8.45049e41 −0.398222
\(443\) 4.52306e41 + 2.61139e41i 0.205576 + 0.118689i 0.599254 0.800559i \(-0.295464\pi\)
−0.393678 + 0.919249i \(0.628797\pi\)
\(444\) −4.25510e41 + 1.38356e42i −0.186544 + 0.606554i
\(445\) 2.56667e42 + 4.44561e42i 1.08545 + 1.88006i
\(446\) 3.33731e41 + 1.92680e41i 0.136157 + 0.0786101i
\(447\) −1.25529e41 + 1.16668e41i −0.0494108 + 0.0459231i
\(448\) 1.53641e42 5.07169e41i 0.583525 0.192621i
\(449\) 2.97381e42i 1.08986i 0.838481 + 0.544931i \(0.183444\pi\)
−0.838481 + 0.544931i \(0.816556\pi\)
\(450\) −6.01220e42 + 8.84990e42i −2.12634 + 3.12995i
\(451\) −1.34940e42 2.33724e42i −0.460593 0.797771i
\(452\) −3.74486e42 + 2.16209e42i −1.23373 + 0.712295i
\(453\) −7.88944e41 + 1.80762e41i −0.250885 + 0.0574827i
\(454\) −2.07646e42 −0.637426
\(455\) −3.00848e42 6.24778e41i −0.891590 0.185158i
\(456\) 7.53706e41 7.00505e41i 0.215657 0.200435i
\(457\) −1.30572e42 + 2.26157e42i −0.360736 + 0.624813i −0.988082 0.153928i \(-0.950808\pi\)
0.627346 + 0.778740i \(0.284141\pi\)
\(458\) 5.03485e41 2.90687e41i 0.134319 0.0775494i
\(459\) 8.90788e41 2.28646e42i 0.229494 0.589062i
\(460\) 5.82704e42 1.00927e43i 1.44985 2.51121i
\(461\) 3.71418e42i 0.892583i −0.894888 0.446291i \(-0.852744\pi\)
0.894888 0.446291i \(-0.147256\pi\)
\(462\) −1.11298e41 5.43630e42i −0.0258355 1.26192i
\(463\) 5.85089e42 1.31198 0.655989 0.754771i \(-0.272252\pi\)
0.655989 + 0.754771i \(0.272252\pi\)
\(464\) −3.40873e42 1.96803e42i −0.738422 0.426328i
\(465\) 3.31934e42 + 1.02086e42i 0.694712 + 0.213657i
\(466\) −5.42818e42 9.40189e42i −1.09769 1.90126i
\(467\) 2.61160e42 + 1.50781e42i 0.510314 + 0.294630i 0.732963 0.680269i \(-0.238137\pi\)
−0.222649 + 0.974899i \(0.571470\pi\)
\(468\) 1.48226e41 2.02312e42i 0.0279891 0.382022i
\(469\) 1.95655e42 + 1.74518e42i 0.357047 + 0.318475i
\(470\) 8.22609e42i 1.45087i
\(471\) −7.94561e42 + 1.82049e42i −1.35454 + 0.310352i
\(472\) −7.84761e41 1.35925e42i −0.129320 0.223989i
\(473\) −1.20822e42 + 6.97569e41i −0.192473 + 0.111124i
\(474\) 7.71724e41 + 3.36822e42i 0.118853 + 0.518736i
\(475\) −2.28920e43 −3.40867
\(476\) 3.52737e42 + 7.32537e41i 0.507856 + 0.105467i
\(477\) 9.17311e42 + 6.72076e41i 1.27709 + 0.0935673i
\(478\) 6.56993e42 1.13795e43i 0.884534 1.53206i
\(479\) 9.14188e42 5.27807e42i 1.19033 0.687237i 0.231948 0.972728i \(-0.425490\pi\)
0.958381 + 0.285491i \(0.0921567\pi\)
\(480\) −5.94508e42 + 1.93306e43i −0.748682 + 2.43436i
\(481\) 1.48221e42 2.56727e42i 0.180547 0.312716i
\(482\) 1.77760e42i 0.209450i
\(483\) −7.66473e42 + 1.39265e43i −0.873661 + 1.58740i
\(484\) −9.29213e41 −0.102468
\(485\) −1.15258e43 6.65443e42i −1.22971 0.709975i
\(486\) 1.17991e43 + 5.62176e42i 1.21806 + 0.580353i
\(487\) −2.39496e42 4.14820e42i −0.239241 0.414377i 0.721256 0.692669i \(-0.243565\pi\)
−0.960497 + 0.278291i \(0.910232\pi\)
\(488\) 2.13202e42 + 1.23092e42i 0.206098 + 0.118991i
\(489\) 2.43017e42 + 2.61473e42i 0.227350 + 0.244616i
\(490\) 2.66619e43 + 1.15730e43i 2.41410 + 1.04787i
\(491\) 2.11742e43i 1.85568i −0.372974 0.927842i \(-0.621662\pi\)
0.372974 0.927842i \(-0.378338\pi\)
\(492\) 2.12702e42 + 9.28347e42i 0.180439 + 0.787533i
\(493\) −2.86065e42 4.95479e42i −0.234917 0.406887i
\(494\) 8.34023e42 4.81523e42i 0.663051 0.382812i
\(495\) 1.96091e43 + 1.33215e43i 1.50930 + 1.02535i
\(496\) 5.73676e42 0.427524
\(497\) 2.25687e41 + 6.83694e41i 0.0162856 + 0.0493355i
\(498\) 1.35872e43 + 1.46191e43i 0.949425 + 1.02153i
\(499\) 3.15446e42 5.46368e42i 0.213460 0.369723i −0.739335 0.673337i \(-0.764860\pi\)
0.952795 + 0.303614i \(0.0981935\pi\)
\(500\) 3.81598e43 2.20316e43i 2.50084 1.44386i
\(501\) −1.95536e43 6.01366e42i −1.24114 0.381711i
\(502\) −4.13180e42 + 7.15648e42i −0.254027 + 0.439987i
\(503\) 8.04261e42i 0.478971i −0.970900 0.239485i \(-0.923021\pi\)
0.970900 0.239485i \(-0.0769787\pi\)
\(504\) 1.15185e42 4.03764e42i 0.0664519 0.232937i
\(505\) 5.28480e43 2.95370
\(506\) −3.65768e43 2.11176e43i −1.98060 1.14350i
\(507\) 4.38172e42 1.42473e43i 0.229889 0.747489i
\(508\) −2.55101e41 4.41847e41i −0.0129686 0.0224622i
\(509\) 1.37322e43 + 7.92826e42i 0.676479 + 0.390565i 0.798527 0.601959i \(-0.205613\pi\)
−0.122048 + 0.992524i \(0.538946\pi\)
\(510\) −2.55274e43 + 2.37255e43i −1.21866 + 1.13264i
\(511\) −1.17962e43 1.05219e43i −0.545768 0.486808i
\(512\) 2.72111e43i 1.22019i
\(513\) 4.23700e42 + 2.76421e43i 0.184154 + 1.20142i
\(514\) −1.77334e43 3.07151e43i −0.747105 1.29402i
\(515\) 2.08521e43 1.20390e43i 0.851596 0.491669i
\(516\) 4.79905e42 1.09956e42i 0.190003 0.0435333i
\(517\) 1.34360e43 0.515728
\(518\) −1.86657e43 + 2.09264e43i −0.694652 + 0.778785i
\(519\) −9.22503e42 + 8.57387e42i −0.332882 + 0.309385i
\(520\) 3.15200e42 5.45942e42i 0.110289 0.191026i
\(521\) 3.83886e43 2.21637e43i 1.30256 0.752035i 0.321720 0.946835i \(-0.395739\pi\)
0.980843 + 0.194800i \(0.0624058\pi\)
\(522\) 2.74333e43 1.32675e43i 0.902714 0.436577i
\(523\) −6.90293e42 + 1.19562e43i −0.220296 + 0.381564i −0.954898 0.296935i \(-0.904036\pi\)
0.734602 + 0.678498i \(0.237369\pi\)
\(524\) 1.63727e43i 0.506781i
\(525\) −7.99233e43 + 4.83515e43i −2.39952 + 1.45165i
\(526\) 2.50889e43 0.730649
\(527\) 7.22154e42 + 4.16936e42i 0.204014 + 0.117788i
\(528\) 3.74305e43 + 1.15117e43i 1.02585 + 0.315497i
\(529\) 4.29329e43 + 7.43620e43i 1.14156 + 1.97724i
\(530\) −1.13127e44 6.53141e43i −2.91846 1.68497i
\(531\) 4.25419e43 + 3.11687e42i 1.06489 + 0.0780200i
\(532\) −3.89876e43 + 1.28698e43i −0.946979 + 0.312597i
\(533\) 1.95047e43i 0.459731i
\(534\) −6.39935e43 + 1.46621e43i −1.46378 + 0.335380i
\(535\) −6.77958e43 1.17426e44i −1.50502 2.60677i
\(536\) −4.65830e42 + 2.68947e42i −0.100367 + 0.0579469i
\(537\) 1.62505e43 + 7.09261e43i 0.339844 + 1.48326i
\(538\) 9.85833e43 2.00118
\(539\) 1.89026e43 4.35480e43i 0.372479 0.858120i
\(540\) −5.23233e43 6.52763e43i −1.00091 1.24869i
\(541\) −4.73626e43 + 8.20345e43i −0.879588 + 1.52349i −0.0277953 + 0.999614i \(0.508849\pi\)
−0.851793 + 0.523878i \(0.824485\pi\)
\(542\) −7.07354e43 + 4.08391e43i −1.27540 + 0.736355i
\(543\) 8.62402e41 2.80412e42i 0.0150978 0.0490908i
\(544\) −2.42807e43 + 4.20555e43i −0.412743 + 0.714892i
\(545\) 1.34576e44i 2.22138i
\(546\) 1.89479e43 3.44274e43i 0.303723 0.551852i
\(547\) 5.42613e43 0.844682 0.422341 0.906437i \(-0.361209\pi\)
0.422341 + 0.906437i \(0.361209\pi\)
\(548\) 4.89408e43 + 2.82560e43i 0.739916 + 0.427191i
\(549\) −6.02327e43 + 2.91302e43i −0.884454 + 0.427746i
\(550\) −1.24092e44 2.14934e44i −1.76987 3.06551i
\(551\) 5.64664e43 + 3.26009e43i 0.782285 + 0.451652i
\(552\) −2.22027e43 2.38889e43i −0.298800 0.321493i
\(553\) −6.13446e42 + 2.95392e43i −0.0802000 + 0.386186i
\(554\) 2.83588e43i 0.360190i
\(555\) −2.73034e43 1.19167e44i −0.336922 1.47051i
\(556\) −2.50013e42 4.33036e42i −0.0299755 0.0519191i
\(557\) 1.21389e43 7.00840e42i 0.141415 0.0816462i −0.427623 0.903957i \(-0.640649\pi\)
0.569038 + 0.822311i \(0.307316\pi\)
\(558\) −2.49583e43 + 3.67384e43i −0.282532 + 0.415885i
\(559\) −1.00829e43 −0.110916
\(560\) −1.39340e44 + 1.56216e44i −1.48959 + 1.67000i
\(561\) 3.87518e43 + 4.16948e43i 0.402611 + 0.433188i
\(562\) 3.65270e43 6.32666e43i 0.368835 0.638842i
\(563\) 1.51638e44 8.75480e43i 1.48824 0.859235i 0.488329 0.872660i \(-0.337607\pi\)
0.999910 + 0.0134246i \(0.00427331\pi\)
\(564\) −4.53203e43 1.39382e43i −0.432342 0.132966i
\(565\) 1.82607e44 3.16285e44i 1.69334 2.93294i
\(566\) 5.13019e43i 0.462456i
\(567\) 7.31774e43 + 8.75584e43i 0.641280 + 0.767307i
\(568\) −1.47714e42 −0.0125848
\(569\) −6.08289e43 3.51196e43i −0.503864 0.290906i 0.226444 0.974024i \(-0.427290\pi\)
−0.730308 + 0.683118i \(0.760623\pi\)
\(570\) 1.16751e44 3.79619e44i 0.940292 3.05738i
\(571\) −9.41134e42 1.63009e43i −0.0737010 0.127654i 0.826820 0.562467i \(-0.190148\pi\)
−0.900521 + 0.434813i \(0.856814\pi\)
\(572\) 4.07520e43 + 2.35282e43i 0.310322 + 0.179164i
\(573\) −9.63588e43 + 8.95573e43i −0.713539 + 0.663173i
\(574\) −3.75152e43 + 1.80646e44i −0.270158 + 1.30089i
\(575\) 7.25568e44i 5.08151i
\(576\) −7.46236e43 5.06957e43i −0.508296 0.345312i
\(577\) 5.72962e43 + 9.92399e43i 0.379588 + 0.657466i 0.991002 0.133845i \(-0.0427323\pi\)
−0.611414 + 0.791311i \(0.709399\pi\)
\(578\) 1.08859e44 6.28497e43i 0.701485 0.405003i
\(579\) 1.46346e43 3.35306e42i 0.0917325 0.0210177i
\(580\) −1.95054e44 −1.18934
\(581\) 5.46216e43 + 1.65470e44i 0.324001 + 0.981525i
\(582\) 1.24677e44 1.15876e44i 0.719479 0.668694i
\(583\) −1.06680e44 + 1.84775e44i −0.598945 + 1.03740i
\(584\) 2.80853e43 1.62150e43i 0.153417 0.0885753i
\(585\) 7.45932e43 + 1.54237e44i 0.396465 + 0.819775i
\(586\) 1.51114e44 2.61737e44i 0.781524 1.35364i
\(587\) 2.05623e44i 1.03481i −0.855739 0.517407i \(-0.826897\pi\)
0.855739 0.517407i \(-0.173103\pi\)
\(588\) −1.08935e44 + 1.27281e44i −0.533496 + 0.623340i
\(589\) −9.50309e43 −0.452919
\(590\) −5.24648e44 3.02906e44i −2.43352 1.40500i
\(591\) 9.19959e43 + 2.82931e43i 0.415307 + 0.127727i
\(592\) −1.00978e44 1.74899e44i −0.443688 0.768491i
\(593\) −3.31459e44 1.91368e44i −1.41760 0.818453i −0.421514 0.906822i \(-0.638501\pi\)
−0.996088 + 0.0883695i \(0.971834\pi\)
\(594\) −2.36566e44 + 1.89623e44i −0.984848 + 0.789421i
\(595\) −2.88938e44 + 9.53783e43i −1.17094 + 0.386526i
\(596\) 1.40290e43i 0.0553460i
\(597\) 1.55249e44 3.55706e43i 0.596265 0.136616i
\(598\) −1.52620e44 2.64346e44i −0.570681 0.988448i
\(599\) 3.70247e44 2.13762e44i 1.34792 0.778220i 0.359962 0.932967i \(-0.382790\pi\)
0.987954 + 0.154747i \(0.0494562\pi\)
\(600\) −4.28005e43 1.86804e44i −0.151715 0.662166i
\(601\) 8.00440e43 0.276272 0.138136 0.990413i \(-0.455889\pi\)
0.138136 + 0.990413i \(0.455889\pi\)
\(602\) 9.33844e43 + 1.93933e43i 0.313856 + 0.0651791i
\(603\) 1.06819e43 1.45796e44i 0.0349599 0.477166i
\(604\) −3.31291e43 + 5.73812e43i −0.105589 + 0.182885i
\(605\) 6.79657e43 3.92400e43i 0.210962 0.121799i
\(606\) −1.98683e44 + 6.46025e44i −0.600620 + 1.95293i
\(607\) 6.25667e43 1.08369e44i 0.184215 0.319069i −0.759097 0.650978i \(-0.774359\pi\)
0.943312 + 0.331908i \(0.107692\pi\)
\(608\) 5.53423e44i 1.58709i
\(609\) 2.66001e44 5.44588e42i 0.743030 0.0152122i
\(610\) 9.50232e44 2.58555
\(611\) 8.40944e43 + 4.85519e43i 0.222899 + 0.128691i
\(612\) −8.74587e43 1.80839e44i −0.225829 0.466949i
\(613\) −9.47919e43 1.64184e44i −0.238453 0.413013i 0.721817 0.692084i \(-0.243307\pi\)
−0.960271 + 0.279070i \(0.909974\pi\)
\(614\) 7.16029e44 + 4.13399e44i 1.75484 + 1.01315i
\(615\) −5.47612e44 5.89201e44i −1.30759 1.40689i
\(616\) 7.26851e43 + 6.48329e43i 0.169104 + 0.150836i
\(617\) 4.12819e44i 0.935831i 0.883773 + 0.467916i \(0.154995\pi\)
−0.883773 + 0.467916i \(0.845005\pi\)
\(618\) 6.87727e43 + 3.00161e44i 0.151915 + 0.663038i
\(619\) 4.30892e44 + 7.46326e44i 0.927508 + 1.60649i 0.787477 + 0.616344i \(0.211387\pi\)
0.140031 + 0.990147i \(0.455280\pi\)
\(620\) 2.46201e44 1.42144e44i 0.516444 0.298169i
\(621\) 8.76126e44 1.34293e44i 1.79102 0.274529i
\(622\) 2.12259e44 0.422883
\(623\) −5.61221e44 1.16550e44i −1.08975 0.226310i
\(624\) 1.92675e44 + 2.07308e44i 0.364647 + 0.392341i
\(625\) −1.10061e45 + 1.90631e45i −2.03026 + 3.51651i
\(626\) −6.96877e44 + 4.02342e44i −1.25305 + 0.723446i
\(627\) −6.20046e44 1.90694e44i −1.08678 0.334238i
\(628\) −3.33649e44 + 5.77897e44i −0.570080 + 0.987408i
\(629\) 2.93554e44i 0.488965i
\(630\) −3.94201e44 1.57197e45i −0.640130 2.55267i
\(631\) 9.87715e43 0.156373 0.0781865 0.996939i \(-0.475087\pi\)
0.0781865 + 0.996939i \(0.475087\pi\)
\(632\) −5.36040e43 3.09483e43i −0.0827417 0.0477709i
\(633\) 1.43608e44 4.66944e44i 0.216132 0.702758i
\(634\) 8.41447e44 + 1.45743e45i 1.23481 + 2.13875i
\(635\) 3.73178e43 + 2.15454e43i 0.0533994 + 0.0308302i
\(636\) 5.51519e44 5.12590e44i 0.769568 0.715248i
\(637\) 2.75673e44 2.04256e44i 0.375115 0.277936i
\(638\) 7.06889e44i 0.938038i
\(639\) 2.25593e43 3.32070e43i 0.0291952 0.0429750i
\(640\) −3.68297e44 6.37910e44i −0.464857 0.805155i
\(641\) 2.36404e44 1.36488e44i 0.291023 0.168022i −0.347380 0.937724i \(-0.612929\pi\)
0.638403 + 0.769702i \(0.279595\pi\)
\(642\) 1.69032e45 3.87284e44i 2.02959 0.465018i
\(643\) −7.22967e44 −0.846726 −0.423363 0.905960i \(-0.639150\pi\)
−0.423363 + 0.905960i \(0.639150\pi\)
\(644\) 4.07912e44 + 1.23572e45i 0.466007 + 1.41172i
\(645\) −3.04585e44 + 2.83085e44i −0.339432 + 0.315473i
\(646\) 4.76832e44 8.25896e44i 0.518376 0.897853i
\(647\) 2.08389e44 1.20313e44i 0.221007 0.127598i −0.385410 0.922746i \(-0.625940\pi\)
0.606416 + 0.795147i \(0.292607\pi\)
\(648\) −2.17645e44 + 8.62568e43i −0.225190 + 0.0892469i
\(649\) −4.94747e44 + 8.56928e44i −0.499423 + 0.865026i
\(650\) 1.79367e45i 1.76656i
\(651\) −3.31784e44 + 2.00721e44i −0.318830 + 0.192884i
\(652\) 2.92221e44 0.273999
\(653\) 1.43016e45 + 8.25700e44i 1.30850 + 0.755460i 0.981845 0.189685i \(-0.0607467\pi\)
0.326650 + 0.945145i \(0.394080\pi\)
\(654\) −1.64508e45 5.05941e44i −1.46873 0.451706i
\(655\) 6.91409e44 + 1.19756e45i 0.602385 + 1.04336i
\(656\) −1.15076e45 6.64391e44i −0.978415 0.564888i
\(657\) −6.44019e43 + 8.79017e44i −0.0534383 + 0.729376i
\(658\) −6.85472e44 6.11420e44i −0.555106 0.495137i
\(659\) 6.93331e44i 0.547991i 0.961731 + 0.273996i \(0.0883454\pi\)
−0.961731 + 0.273996i \(0.911655\pi\)
\(660\) 1.89162e45 4.33406e44i 1.45925 0.334343i
\(661\) −8.80618e44 1.52527e45i −0.663077 1.14848i −0.979803 0.199966i \(-0.935917\pi\)
0.316726 0.948517i \(-0.397417\pi\)
\(662\) 2.66104e45 1.53635e45i 1.95580 1.12918i
\(663\) 9.18759e43 + 4.00996e44i 0.0659152 + 0.287689i
\(664\) −3.57502e44 −0.250374
\(665\) 2.30820e45 2.58776e45i 1.57807 1.76920i
\(666\) 1.55937e45 + 1.14248e44i 1.04078 + 0.0762540i
\(667\) 1.03330e45 1.78972e45i 0.673304 1.16620i
\(668\) −1.45032e45 + 8.37343e44i −0.922658 + 0.532697i
\(669\) 5.51471e43 1.79312e44i 0.0342535 0.111376i
\(670\) −1.03809e45 + 1.79803e45i −0.629564 + 1.09044i
\(671\) 1.55205e45i 0.919064i
\(672\) −1.16892e45 1.93218e45i −0.675890 1.11722i
\(673\) 2.06210e45 1.16431 0.582154 0.813078i \(-0.302210\pi\)
0.582154 + 0.813078i \(0.302210\pi\)
\(674\) −3.44625e45 1.98969e45i −1.90015 1.09705i
\(675\) 4.85315e45 + 1.89075e45i 2.61314 + 1.01806i
\(676\) −6.10112e44 1.05674e45i −0.320821 0.555678i
\(677\) 1.15954e44 + 6.69462e43i 0.0595481 + 0.0343801i 0.529478 0.848323i \(-0.322388\pi\)
−0.469930 + 0.882703i \(0.655721\pi\)
\(678\) 3.17982e45 + 3.42131e45i 1.59488 + 1.71600i
\(679\) 1.41119e45 4.65832e44i 0.691302 0.228199i
\(680\) 6.24257e44i 0.298690i
\(681\) 2.25758e44 + 9.85330e44i 0.105509 + 0.460498i
\(682\) −5.15142e44 8.92251e44i −0.235167 0.407321i
\(683\) −6.08081e44 + 3.51076e44i −0.271163 + 0.156556i −0.629416 0.777069i \(-0.716706\pi\)
0.358253 + 0.933625i \(0.383372\pi\)
\(684\) 1.89363e45 + 1.28644e45i 0.824892 + 0.560393i
\(685\) −4.77292e45 −2.03112
\(686\) −2.94607e45 + 1.36153e45i −1.22478 + 0.566032i
\(687\) −1.92678e44 2.07312e44i −0.0782573 0.0842007i
\(688\) −3.43454e44 + 5.94880e44i −0.136287 + 0.236056i
\(689\) −1.33540e45 + 7.70993e44i −0.517730 + 0.298912i
\(690\) −1.20321e46 3.70045e45i −4.55782 1.40175i
\(691\) −1.53443e45 + 2.65771e45i −0.567935 + 0.983693i 0.428835 + 0.903383i \(0.358924\pi\)
−0.996770 + 0.0803098i \(0.974409\pi\)
\(692\) 1.03098e45i 0.372867i
\(693\) −2.56756e45 + 6.43863e44i −0.907378 + 0.227542i
\(694\) −2.57323e45 −0.888642
\(695\) 3.65736e44 + 2.11158e44i 0.123427 + 0.0712607i
\(696\) −1.60458e44 + 5.21734e44i −0.0529193 + 0.172068i
\(697\) −9.65732e44 1.67270e45i −0.311266 0.539129i
\(698\) −4.22514e45 2.43939e45i −1.33093 0.768412i
\(699\) −3.87126e45 + 3.59800e45i −1.19184 + 1.10771i
\(700\) −1.55485e45 + 7.48706e45i −0.467865 + 2.25290i
\(701\) 2.22421e45i 0.654166i −0.944996 0.327083i \(-0.893934\pi\)
0.944996 0.327083i \(-0.106066\pi\)
\(702\) −2.16586e45 + 3.31984e44i −0.622639 + 0.0954384i
\(703\) 1.67272e45 + 2.89724e45i 0.470044 + 0.814140i
\(704\) 1.81236e45 1.04636e45i 0.497830 0.287422i
\(705\) 3.90348e45 8.94362e44i 1.04816 0.240153i
\(706\) 5.95492e45 1.56315
\(707\) −3.92803e45 + 4.40377e45i −1.00801 + 1.13009i
\(708\) 2.55777e45 2.37723e45i 0.641695 0.596401i
\(709\) −3.48774e44 + 6.04095e44i −0.0855470 + 0.148172i −0.905624 0.424081i \(-0.860597\pi\)
0.820077 + 0.572253i \(0.193930\pi\)
\(710\) −4.93766e44 + 2.85076e44i −0.118410 + 0.0683639i
\(711\) 1.51440e45 7.32403e44i 0.355080 0.171726i
\(712\) 5.87993e44 1.01843e45i 0.134801 0.233482i
\(713\) 3.01203e45i 0.675192i
\(714\) −7.96532e43 3.89062e45i −0.0174595 0.852800i
\(715\) −3.97431e45 −0.851854
\(716\) 5.15857e45 + 2.97830e45i 1.08124 + 0.624253i
\(717\) −6.11412e45 1.88039e45i −1.25322 0.385426i
\(718\) −6.68021e44 1.15705e45i −0.133906 0.231931i
\(719\) −6.12692e45 3.53738e45i −1.20110 0.693457i −0.240302 0.970698i \(-0.577246\pi\)
−0.960800 + 0.277241i \(0.910580\pi\)
\(720\) 1.16407e46 + 8.52868e44i 2.23183 + 0.163517i
\(721\) −5.46676e44 + 2.63240e45i −0.102510 + 0.493615i
\(722\) 3.51150e45i 0.644018i
\(723\) −8.43513e44 + 1.93265e44i −0.151314 + 0.0346689i
\(724\) −1.20081e44 2.07986e44i −0.0210697 0.0364937i
\(725\) 1.05168e46 6.07189e45i 1.80500 1.04212i
\(726\) 2.24159e44 + 9.78350e44i 0.0376331 + 0.164251i
\(727\) −5.81788e45 −0.955464 −0.477732 0.878506i \(-0.658541\pi\)
−0.477732 + 0.878506i \(0.658541\pi\)
\(728\) 2.20650e44 + 6.68435e44i 0.0354488 + 0.107388i
\(729\) 1.38483e45 6.21015e45i 0.217649 0.976027i
\(730\) 6.25875e45 1.08405e46i 0.962326 1.66680i
\(731\) −8.64694e44 + 4.99231e44i −0.130072 + 0.0750972i
\(732\) −1.61006e45 + 5.23515e45i −0.236954 + 0.770463i
\(733\) −2.50865e45 + 4.34510e45i −0.361223 + 0.625657i −0.988162 0.153411i \(-0.950974\pi\)
0.626939 + 0.779068i \(0.284307\pi\)
\(734\) 8.03852e45i 1.13250i
\(735\) 2.59291e45 1.39100e46i 0.357429 1.91747i
\(736\) −1.75409e46 −2.36596
\(737\) 2.93679e45 + 1.69556e45i 0.387609 + 0.223786i
\(738\) 9.26127e45 4.47900e45i 1.19610 0.578468i
\(739\) 6.04335e45 + 1.04674e46i 0.763777 + 1.32290i 0.940891 + 0.338710i \(0.109991\pi\)
−0.177114 + 0.984190i \(0.556676\pi\)