Properties

Label 21.33.h.b.11.15
Level $21$
Weight $33$
Character 21.11
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 11.15
Character \(\chi\) \(=\) 21.11
Dual form 21.33.h.b.2.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-80445.4 + 46445.2i) q^{2} +(4.22184e7 - 8.40380e6i) q^{3} +(2.16683e9 - 3.75305e9i) q^{4} +(1.68281e11 - 9.71571e10i) q^{5} +(-3.00596e12 + 2.63689e12i) q^{6} +(-2.65601e13 + 1.99748e13i) q^{7} +3.59344e12i q^{8} +(1.71177e15 - 7.09591e14i) q^{9} +O(q^{10})\) \(q+(-80445.4 + 46445.2i) q^{2} +(4.22184e7 - 8.40380e6i) q^{3} +(2.16683e9 - 3.75305e9i) q^{4} +(1.68281e11 - 9.71571e10i) q^{5} +(-3.00596e12 + 2.63689e12i) q^{6} +(-2.65601e13 + 1.99748e13i) q^{7} +3.59344e12i q^{8} +(1.71177e15 - 7.09591e14i) q^{9} +(-9.02495e15 + 1.56317e16i) q^{10} +(-5.49722e16 - 3.17382e16i) q^{11} +(5.99401e16 - 1.76658e17i) q^{12} -4.92731e17 q^{13} +(1.20890e18 - 2.84046e18i) q^{14} +(6.28807e18 - 5.51602e18i) q^{15} +(9.13955e18 + 1.58302e19i) q^{16} +(6.46679e19 + 3.73360e19i) q^{17} +(-1.04747e20 + 1.36587e20i) q^{18} +(-3.80322e19 - 6.58737e19i) q^{19} -8.42090e20i q^{20} +(-9.53460e20 + 1.06651e21i) q^{21} +5.89635e21 q^{22} +(-1.17642e21 + 6.79204e20i) q^{23} +(3.01985e19 + 1.51709e20i) q^{24} +(7.23746e21 - 1.25356e22i) q^{25} +(3.96380e22 - 2.28850e22i) q^{26} +(6.63051e22 - 4.43432e22i) q^{27} +(1.74153e22 + 1.42963e23i) q^{28} -1.16492e23i q^{29} +(-2.49654e23 + 7.35789e23i) q^{30} +(-8.42920e22 + 1.45998e23i) q^{31} +(-1.48384e24 - 8.56693e23i) q^{32} +(-2.58756e24 - 8.77963e23i) q^{33} -6.93631e24 q^{34} +(-2.52886e24 + 5.94187e24i) q^{35} +(1.04598e24 - 7.96193e24i) q^{36} +(-2.55862e24 - 4.43166e24i) q^{37} +(6.11903e24 + 3.53283e24i) q^{38} +(-2.08023e25 + 4.14082e24i) q^{39} +(3.49128e23 + 6.04707e23i) q^{40} +8.98422e25i q^{41} +(2.71673e25 - 1.30079e26i) q^{42} -1.62344e26 q^{43} +(-2.38230e26 + 1.37542e26i) q^{44} +(2.19117e26 - 2.85721e26i) q^{45} +(6.30915e25 - 1.09278e26i) q^{46} +(-2.28099e26 + 1.31693e26i) q^{47} +(5.18891e26 + 5.91518e26i) q^{48} +(3.06446e26 - 1.06106e27i) q^{49} +1.34458e27i q^{50} +(3.04394e27 + 1.03281e27i) q^{51} +(-1.06766e27 + 1.84925e27i) q^{52} +(-5.85411e27 - 3.37987e27i) q^{53} +(-3.27441e27 + 6.64676e27i) q^{54} -1.23344e28 q^{55} +(-7.17780e25 - 9.54419e25i) q^{56} +(-2.15925e27 - 2.46147e27i) q^{57} +(5.41048e27 + 9.37123e27i) q^{58} +(2.84652e28 + 1.64344e28i) q^{59} +(-7.07675e27 - 3.55517e28i) q^{60} +(7.98498e27 + 1.38304e28i) q^{61} -1.56598e28i q^{62} +(-3.12909e28 + 5.30390e28i) q^{63} +8.06489e28 q^{64} +(-8.29173e28 + 4.78723e28i) q^{65} +(2.48935e29 - 4.95517e28i) q^{66} +(5.72198e28 - 9.91075e28i) q^{67} +(2.80248e29 - 1.61801e29i) q^{68} +(-4.39585e28 + 3.85613e28i) q^{69} +(-7.25356e28 - 5.95450e29i) q^{70} +2.91038e29i q^{71} +(2.54987e27 + 6.15115e27i) q^{72} +(2.73400e28 - 4.73542e28i) q^{73} +(4.11659e29 + 2.37671e29i) q^{74} +(2.00207e29 - 5.90058e29i) q^{75} -3.29637e29 q^{76} +(2.09403e30 - 2.55087e29i) q^{77} +(1.48113e30 - 1.29928e30i) q^{78} +(7.63177e29 + 1.32186e30i) q^{79} +(3.07602e30 + 1.77594e30i) q^{80} +(2.42665e30 - 2.42932e30i) q^{81} +(-4.17274e30 - 7.22739e30i) q^{82} +3.86383e30i q^{83} +(1.93668e30 + 5.88933e30i) q^{84} +1.45098e31 q^{85} +(1.30598e31 - 7.54009e30i) q^{86} +(-9.78973e29 - 4.91810e30i) q^{87} +(1.14049e29 - 1.97539e29i) q^{88} +(1.18276e31 - 6.82869e30i) q^{89} +(-4.35658e30 + 3.31619e31i) q^{90} +(1.30870e31 - 9.84219e30i) q^{91} +5.88687e30i q^{92} +(-2.33174e30 + 6.87218e30i) q^{93} +(1.22330e31 - 2.11882e31i) q^{94} +(-1.28002e31 - 7.39020e30i) q^{95} +(-6.98447e31 - 2.36984e31i) q^{96} -1.11585e31 q^{97} +(2.46290e31 + 9.95905e31i) q^{98} +(-1.16621e32 - 1.53208e31i) 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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −80445.4 + 46445.2i −1.22750 + 0.708697i −0.966506 0.256643i \(-0.917383\pi\)
−0.260993 + 0.965341i \(0.584050\pi\)
\(3\) 4.22184e7 8.40380e6i 0.980758 0.195225i
\(4\) 2.16683e9 3.75305e9i 0.504503 0.873826i
\(5\) 1.68281e11 9.71571e10i 1.10285 0.636729i 0.165879 0.986146i \(-0.446954\pi\)
0.936967 + 0.349418i \(0.113621\pi\)
\(6\) −3.00596e12 + 2.63689e12i −1.06553 + 0.934700i
\(7\) −2.65601e13 + 1.99748e13i −0.799209 + 0.601053i
\(8\) 3.59344e12i 0.0127665i
\(9\) 1.71177e15 7.09591e14i 0.923774 0.382937i
\(10\) −9.02495e15 + 1.56317e16i −0.902495 + 1.56317i
\(11\) −5.49722e16 3.17382e16i −1.19636 0.690716i −0.236615 0.971604i \(-0.576038\pi\)
−0.959741 + 0.280887i \(0.909371\pi\)
\(12\) 5.99401e16 1.76658e17i 0.324203 0.955504i
\(13\) −4.92731e17 −0.740485 −0.370243 0.928935i \(-0.620725\pi\)
−0.370243 + 0.928935i \(0.620725\pi\)
\(14\) 1.20890e18 2.84046e18i 0.555064 1.30419i
\(15\) 6.28807e18 5.51602e18i 0.957320 0.839780i
\(16\) 9.13955e18 + 1.58302e19i 0.495456 + 0.858155i
\(17\) 6.46679e19 + 3.73360e19i 1.32894 + 0.767265i 0.985136 0.171776i \(-0.0549504\pi\)
0.343806 + 0.939041i \(0.388284\pi\)
\(18\) −1.04747e20 + 1.36587e20i −0.862546 + 1.12473i
\(19\) −3.80322e19 6.58737e19i −0.131854 0.228378i 0.792537 0.609824i \(-0.208760\pi\)
−0.924391 + 0.381445i \(0.875426\pi\)
\(20\) 8.42090e20i 1.28493i
\(21\) −9.53460e20 + 1.06651e21i −0.666490 + 0.745514i
\(22\) 5.89635e21 1.95803
\(23\) −1.17642e21 + 6.79204e20i −0.191830 + 0.110753i −0.592839 0.805321i \(-0.701993\pi\)
0.401009 + 0.916074i \(0.368660\pi\)
\(24\) 3.01985e19 + 1.51709e20i 0.00249233 + 0.0125208i
\(25\) 7.23746e21 1.25356e22i 0.310846 0.538402i
\(26\) 3.96380e22 2.28850e22i 0.908946 0.524780i
\(27\) 6.63051e22 4.43432e22i 0.831240 0.555913i
\(28\) 1.74153e22 + 1.42963e23i 0.122012 + 1.00160i
\(29\) 1.16492e23i 0.465508i −0.972536 0.232754i \(-0.925226\pi\)
0.972536 0.232754i \(-0.0747737\pi\)
\(30\) −2.49654e23 + 7.35789e23i −0.579960 + 1.70928i
\(31\) −8.42920e22 + 1.45998e23i −0.115878 + 0.200706i −0.918130 0.396279i \(-0.870301\pi\)
0.802253 + 0.596985i \(0.203635\pi\)
\(32\) −1.48384e24 8.56693e23i −1.22740 0.708640i
\(33\) −2.58756e24 8.77963e23i −1.30818 0.443867i
\(34\) −6.93631e24 −2.17503
\(35\) −2.52886e24 + 5.94187e24i −0.498697 + 1.17175i
\(36\) 1.04598e24 7.96193e24i 0.131427 1.00041i
\(37\) −2.55862e24 4.43166e24i −0.207386 0.359202i 0.743505 0.668731i \(-0.233162\pi\)
−0.950890 + 0.309528i \(0.899829\pi\)
\(38\) 6.11903e24 + 3.53283e24i 0.323702 + 0.186889i
\(39\) −2.08023e25 + 4.14082e24i −0.726237 + 0.144561i
\(40\) 3.49128e23 + 6.04707e23i 0.00812877 + 0.0140794i
\(41\) 8.98422e25i 1.40909i 0.709659 + 0.704545i \(0.248849\pi\)
−0.709659 + 0.704545i \(0.751151\pi\)
\(42\) 2.71673e25 1.30079e26i 0.289773 1.38746i
\(43\) −1.62344e26 −1.18834 −0.594170 0.804339i \(-0.702519\pi\)
−0.594170 + 0.804339i \(0.702519\pi\)
\(44\) −2.38230e26 + 1.37542e26i −1.20713 + 0.696937i
\(45\) 2.19117e26 2.85721e26i 0.774954 1.01051i
\(46\) 6.30915e25 1.09278e26i 0.156980 0.271898i
\(47\) −2.28099e26 + 1.31693e26i −0.402307 + 0.232272i −0.687479 0.726204i \(-0.741283\pi\)
0.285172 + 0.958476i \(0.407949\pi\)
\(48\) 5.18891e26 + 5.91518e26i 0.653456 + 0.744917i
\(49\) 3.06446e26 1.06106e27i 0.277470 0.960734i
\(50\) 1.34458e27i 0.881184i
\(51\) 3.04394e27 + 1.03281e27i 1.45316 + 0.493059i
\(52\) −1.06766e27 + 1.84925e27i −0.373577 + 0.647055i
\(53\) −5.85411e27 3.37987e27i −1.51024 0.871939i −0.999929 0.0119513i \(-0.996196\pi\)
−0.510314 0.859988i \(-0.670471\pi\)
\(54\) −3.27441e27 + 6.64676e27i −0.626373 + 1.27148i
\(55\) −1.23344e28 −1.75919
\(56\) −7.17780e25 9.54419e25i −0.00767332 0.0102031i
\(57\) −2.15925e27 2.46147e27i −0.173902 0.198243i
\(58\) 5.41048e27 + 9.37123e27i 0.329904 + 0.571411i
\(59\) 2.84652e28 + 1.64344e28i 1.32033 + 0.762293i 0.983781 0.179374i \(-0.0574071\pi\)
0.336548 + 0.941666i \(0.390740\pi\)
\(60\) −7.07675e27 3.55517e28i −0.250850 1.26020i
\(61\) 7.98498e27 + 1.38304e28i 0.217268 + 0.376320i 0.953972 0.299896i \(-0.0969520\pi\)
−0.736703 + 0.676216i \(0.763619\pi\)
\(62\) 1.56598e28i 0.328488i
\(63\) −3.12909e28 + 5.30390e28i −0.508123 + 0.861284i
\(64\) 8.06489e28 1.01793
\(65\) −8.29173e28 + 4.78723e28i −0.816641 + 0.471488i
\(66\) 2.48935e29 4.95517e28i 1.92036 0.382257i
\(67\) 5.72198e28 9.91075e28i 0.347016 0.601049i −0.638702 0.769454i \(-0.720528\pi\)
0.985718 + 0.168405i \(0.0538617\pi\)
\(68\) 2.80248e29 1.61801e29i 1.34091 0.774176i
\(69\) −4.39585e28 + 3.85613e28i −0.166517 + 0.146072i
\(70\) −7.25356e28 5.95450e29i −0.218264 1.79175i
\(71\) 2.91038e29i 0.697938i 0.937134 + 0.348969i \(0.113468\pi\)
−0.937134 + 0.348969i \(0.886532\pi\)
\(72\) 2.54987e27 + 6.15115e27i 0.00488875 + 0.0117933i
\(73\) 2.73400e28 4.73542e28i 0.0420370 0.0728103i −0.844241 0.535963i \(-0.819949\pi\)
0.886278 + 0.463153i \(0.153282\pi\)
\(74\) 4.11659e29 + 2.37671e29i 0.509132 + 0.293947i
\(75\) 2.00207e29 5.90058e29i 0.199756 0.588727i
\(76\) −3.29637e29 −0.266084
\(77\) 2.09403e30 2.55087e29i 1.37130 0.167046i
\(78\) 1.48113e30 1.29928e30i 0.789006 0.692131i
\(79\) 7.63177e29 + 1.32186e30i 0.331583 + 0.574318i 0.982822 0.184554i \(-0.0590841\pi\)
−0.651240 + 0.758872i \(0.725751\pi\)
\(80\) 3.07602e30 + 1.77594e30i 1.09282 + 0.630942i
\(81\) 2.42665e30 2.42932e30i 0.706718 0.707495i
\(82\) −4.17274e30 7.22739e30i −0.998618 1.72966i
\(83\) 3.86383e30i 0.761674i 0.924642 + 0.380837i \(0.124364\pi\)
−0.924642 + 0.380837i \(0.875636\pi\)
\(84\) 1.93668e30 + 5.88933e30i 0.315202 + 0.958511i
\(85\) 1.45098e31 1.95416
\(86\) 1.30598e31 7.54009e30i 1.45869 0.842173i
\(87\) −9.78973e29 4.91810e30i −0.0908788 0.456551i
\(88\) 1.14049e29 1.97539e29i 0.00881800 0.0152732i
\(89\) 1.18276e31 6.82869e30i 0.763235 0.440654i −0.0672213 0.997738i \(-0.521413\pi\)
0.830456 + 0.557084i \(0.188080\pi\)
\(90\) −4.35658e30 + 3.31619e31i −0.235107 + 1.78961i
\(91\) 1.30870e31 9.84219e30i 0.591803 0.445071i
\(92\) 5.88687e30i 0.223501i
\(93\) −2.33174e30 + 6.87218e30i −0.0744651 + 0.219466i
\(94\) 1.22330e31 2.11882e31i 0.329221 0.570227i
\(95\) −1.28002e31 7.39020e30i −0.290830 0.167911i
\(96\) −6.98447e31 2.36984e31i −1.34213 0.455385i
\(97\) −1.11585e31 −0.181659 −0.0908293 0.995866i \(-0.528952\pi\)
−0.0908293 + 0.995866i \(0.528952\pi\)
\(98\) 2.46290e31 + 9.95905e31i 0.340275 + 1.37594i
\(99\) −1.16621e32 1.53208e31i −1.36966 0.179937i
\(100\) −3.13646e31 5.43251e31i −0.313646 0.543251i
\(101\) −1.75492e32 1.01321e32i −1.49664 0.864083i −0.496643 0.867955i \(-0.665434\pi\)
−0.999993 + 0.00387209i \(0.998767\pi\)
\(102\) −2.92840e32 + 5.82914e31i −2.13318 + 0.424621i
\(103\) 8.66619e31 + 1.50103e32i 0.540048 + 0.935391i 0.998901 + 0.0468787i \(0.0149274\pi\)
−0.458852 + 0.888513i \(0.651739\pi\)
\(104\) 1.77060e30i 0.00945337i
\(105\) −5.68304e31 + 2.72108e32i −0.260347 + 1.24656i
\(106\) 6.27915e32 2.47176
\(107\) 2.25565e32 1.30230e32i 0.764065 0.441133i −0.0666882 0.997774i \(-0.521243\pi\)
0.830753 + 0.556641i \(0.187910\pi\)
\(108\) −2.27508e31 3.44931e32i −0.0664073 1.00682i
\(109\) −3.47786e32 + 6.02383e32i −0.875967 + 1.51722i −0.0202383 + 0.999795i \(0.506442\pi\)
−0.855729 + 0.517424i \(0.826891\pi\)
\(110\) 9.92243e32 5.72872e32i 2.15941 1.24674i
\(111\) −1.45264e32 1.65596e32i −0.273521 0.311804i
\(112\) −5.58951e32 2.37890e32i −0.911770 0.388050i
\(113\) 4.13968e32i 0.585749i 0.956151 + 0.292875i \(0.0946119\pi\)
−0.956151 + 0.292875i \(0.905388\pi\)
\(114\) 2.88025e32 + 9.77272e31i 0.353959 + 0.120099i
\(115\) −1.31979e32 + 2.28594e32i −0.141039 + 0.244287i
\(116\) −4.37200e32 2.52417e32i −0.406773 0.234850i
\(117\) −8.43444e32 + 3.49638e32i −0.684041 + 0.283560i
\(118\) −3.05319e33 −2.16094
\(119\) −2.46336e33 + 3.00078e32i −1.52327 + 0.185559i
\(120\) 1.98215e31 + 2.25958e31i 0.0107210 + 0.0122216i
\(121\) 9.58941e32 + 1.66093e33i 0.454178 + 0.786659i
\(122\) −1.28471e33 7.41728e32i −0.533394 0.307955i
\(123\) 7.55016e32 + 3.79300e33i 0.275090 + 1.38198i
\(124\) 3.65292e32 + 6.32705e32i 0.116921 + 0.202514i
\(125\) 1.71155e33i 0.481758i
\(126\) 5.38019e31 5.72006e33i 0.0133312 1.41733i
\(127\) 3.76166e33 0.821335 0.410667 0.911785i \(-0.365296\pi\)
0.410667 + 0.911785i \(0.365296\pi\)
\(128\) −1.14808e32 + 6.62845e31i −0.0221113 + 0.0127659i
\(129\) −6.85391e33 + 1.36431e33i −1.16547 + 0.231994i
\(130\) 4.44688e33 7.70222e33i 0.668285 1.15750i
\(131\) −1.29541e34 + 7.47908e33i −1.72214 + 0.994277i −0.807650 + 0.589662i \(0.799261\pi\)
−0.914487 + 0.404615i \(0.867406\pi\)
\(132\) −8.90184e33 + 7.80887e33i −1.04784 + 0.919190i
\(133\) 2.32595e33 + 9.89926e32i 0.242646 + 0.103271i
\(134\) 1.06303e34i 0.983716i
\(135\) 6.84963e33 1.39041e34i 0.562765 1.14236i
\(136\) −1.34165e32 + 2.32380e32i −0.00979526 + 0.0169659i
\(137\) 1.47515e34 + 8.51677e33i 0.957869 + 0.553026i 0.895517 0.445028i \(-0.146806\pi\)
0.0623528 + 0.998054i \(0.480140\pi\)
\(138\) 1.74528e33 5.14374e33i 0.100879 0.297313i
\(139\) 1.70230e34 0.876594 0.438297 0.898830i \(-0.355582\pi\)
0.438297 + 0.898830i \(0.355582\pi\)
\(140\) 1.68205e34 + 2.23660e34i 0.772309 + 1.02693i
\(141\) −8.52325e33 + 7.47676e33i −0.349220 + 0.306343i
\(142\) −1.35173e34 2.34127e34i −0.494626 0.856718i
\(143\) 2.70865e34 + 1.56384e34i 0.885884 + 0.511465i
\(144\) 2.68778e34 + 2.06123e34i 0.786309 + 0.603013i
\(145\) −1.13180e34 1.96033e34i −0.296402 0.513384i
\(146\) 5.07924e33i 0.119166i
\(147\) 4.02073e33 4.73717e34i 0.0845721 0.996417i
\(148\) −2.21764e34 −0.418507
\(149\) −5.13727e34 + 2.96600e34i −0.870466 + 0.502564i −0.867503 0.497432i \(-0.834277\pi\)
−0.00296304 + 0.999996i \(0.500943\pi\)
\(150\) 1.12996e34 + 5.67661e34i 0.172029 + 0.864229i
\(151\) 5.40531e34 9.36227e34i 0.739928 1.28159i −0.212600 0.977139i \(-0.568193\pi\)
0.952527 0.304453i \(-0.0984737\pi\)
\(152\) 2.36713e32 1.36666e32i 0.00291558 0.00168331i
\(153\) 1.37190e35 + 1.80231e34i 1.52146 + 0.199878i
\(154\) −1.56607e35 + 1.17778e35i −1.56488 + 1.17688i
\(155\) 3.27583e34i 0.295130i
\(156\) −2.95344e34 + 8.70447e34i −0.240068 + 0.707537i
\(157\) −1.25412e35 + 2.17220e35i −0.920333 + 1.59406i −0.121432 + 0.992600i \(0.538749\pi\)
−0.798901 + 0.601463i \(0.794585\pi\)
\(158\) −1.22788e35 7.08918e34i −0.814035 0.469983i
\(159\) −2.75555e35 9.34961e34i −1.65141 0.560324i
\(160\) −3.32935e35 −1.80484
\(161\) 1.76787e34 4.15383e34i 0.0867436 0.203814i
\(162\) −8.23826e34 + 3.08133e35i −0.366096 + 1.36930i
\(163\) −8.81201e34 1.52629e35i −0.354873 0.614659i 0.632223 0.774787i \(-0.282143\pi\)
−0.987096 + 0.160128i \(0.948809\pi\)
\(164\) 3.37183e35 + 1.94672e35i 1.23130 + 0.710891i
\(165\) −5.20738e35 + 1.03656e35i −1.72535 + 0.343439i
\(166\) −1.79456e35 3.10828e35i −0.539796 0.934954i
\(167\) 4.89374e35i 1.33714i 0.743649 + 0.668570i \(0.233093\pi\)
−0.743649 + 0.668570i \(0.766907\pi\)
\(168\) −3.83243e33 3.42620e33i −0.00951757 0.00850872i
\(169\) −1.99995e35 −0.451681
\(170\) −1.16725e36 + 6.73912e35i −2.39873 + 1.38491i
\(171\) −1.11846e35 8.57735e34i −0.209258 0.160478i
\(172\) −3.51771e35 + 6.09285e35i −0.599522 + 1.03840i
\(173\) 1.56327e35 9.02555e34i 0.242827 0.140196i −0.373648 0.927570i \(-0.621893\pi\)
0.616475 + 0.787374i \(0.288560\pi\)
\(174\) 3.07176e35 + 3.50170e35i 0.435110 + 0.496010i
\(175\) 5.81691e34 + 4.77514e35i 0.0751767 + 0.617131i
\(176\) 1.16029e36i 1.36888i
\(177\) 1.33987e36 + 4.54619e35i 1.44374 + 0.489863i
\(178\) −6.34320e35 + 1.09867e36i −0.624580 + 1.08180i
\(179\) 1.18552e36 + 6.84458e35i 1.06723 + 0.616167i 0.927424 0.374012i \(-0.122018\pi\)
0.139808 + 0.990179i \(0.455351\pi\)
\(180\) −5.97539e35 1.44147e36i −0.492047 1.18698i
\(181\) −2.94723e35 −0.222104 −0.111052 0.993815i \(-0.535422\pi\)
−0.111052 + 0.993815i \(0.535422\pi\)
\(182\) −5.95665e35 + 1.39959e36i −0.411017 + 0.965733i
\(183\) 4.53341e35 + 5.16794e35i 0.286555 + 0.326663i
\(184\) −2.44068e33 4.22738e33i −0.00141392 0.00244898i
\(185\) −8.61135e35 4.97177e35i −0.457429 0.264097i
\(186\) −1.31602e35 6.61133e35i −0.0641292 0.322168i
\(187\) −2.36996e36 4.10489e36i −1.05992 1.83584i
\(188\) 1.14142e36i 0.468728i
\(189\) −8.75323e35 + 2.50219e36i −0.330202 + 0.943910i
\(190\) 1.37296e36 0.475991
\(191\) −1.55763e34 + 8.99300e33i −0.00496514 + 0.00286662i −0.502481 0.864589i \(-0.667579\pi\)
0.497515 + 0.867455i \(0.334246\pi\)
\(192\) 3.40487e36 6.77757e35i 0.998346 0.198726i
\(193\) 2.14583e36 3.71669e36i 0.579001 1.00286i −0.416593 0.909093i \(-0.636776\pi\)
0.995594 0.0937661i \(-0.0298906\pi\)
\(194\) 8.97646e35 5.18256e35i 0.222986 0.128741i
\(195\) −3.09833e36 + 2.71792e36i −0.708882 + 0.621845i
\(196\) −3.31820e36 3.44924e36i −0.699529 0.727155i
\(197\) 6.71507e36i 1.30494i 0.757814 + 0.652471i \(0.226267\pi\)
−0.757814 + 0.652471i \(0.773733\pi\)
\(198\) 1.00932e37 4.18399e36i 1.80878 0.749805i
\(199\) 6.00487e35 1.04007e36i 0.0992782 0.171955i −0.812108 0.583507i \(-0.801680\pi\)
0.911386 + 0.411552i \(0.135013\pi\)
\(200\) 4.50461e34 + 2.60074e34i 0.00687348 + 0.00396841i
\(201\) 1.58285e36 4.66503e36i 0.222999 0.657230i
\(202\) 1.88234e37 2.44949
\(203\) 2.32689e36 + 3.09403e36i 0.279795 + 0.372038i
\(204\) 1.04719e37 9.18615e36i 1.16397 1.02106i
\(205\) 8.72881e36 + 1.51187e37i 0.897208 + 1.55401i
\(206\) −1.39431e37 8.05006e36i −1.32582 0.765462i
\(207\) −1.53180e36 + 1.99742e36i −0.134796 + 0.175769i
\(208\) −4.50334e36 7.80002e36i −0.366878 0.635451i
\(209\) 4.82830e36i 0.364295i
\(210\) −8.06638e36 2.45294e37i −0.563858 1.71466i
\(211\) 1.69913e37 1.10080 0.550400 0.834901i \(-0.314475\pi\)
0.550400 + 0.834901i \(0.314475\pi\)
\(212\) −2.53697e37 + 1.46472e37i −1.52385 + 0.879793i
\(213\) 2.44583e36 + 1.22872e37i 0.136255 + 0.684508i
\(214\) −1.20971e37 + 2.09528e37i −0.625260 + 1.08298i
\(215\) −2.73194e37 + 1.57729e37i −1.31056 + 0.756650i
\(216\) 1.59345e35 + 2.38263e35i 0.00709704 + 0.0106120i
\(217\) −6.77474e35 5.56143e36i −0.0280244 0.230054i
\(218\) 6.46119e37i 2.48318i
\(219\) 7.56295e35 2.22898e36i 0.0270138 0.0796160i
\(220\) −2.67264e37 + 4.62915e37i −0.887520 + 1.53723i
\(221\) −3.18639e37 1.83966e37i −0.984062 0.568149i
\(222\) 1.93769e37 + 6.57461e36i 0.556721 + 0.188896i
\(223\) 5.24295e37 1.40184 0.700920 0.713240i \(-0.252773\pi\)
0.700920 + 0.713240i \(0.252773\pi\)
\(224\) 5.65230e37 6.88543e36i 1.40688 0.171381i
\(225\) 3.49371e36 2.65938e37i 0.0809778 0.616397i
\(226\) −1.92268e37 3.33018e37i −0.415119 0.719007i
\(227\) −4.68582e37 2.70536e37i −0.942697 0.544267i −0.0518924 0.998653i \(-0.516525\pi\)
−0.890805 + 0.454386i \(0.849859\pi\)
\(228\) −1.39167e37 + 2.77020e36i −0.260964 + 0.0519462i
\(229\) −1.60669e37 2.78286e37i −0.280908 0.486546i 0.690701 0.723141i \(-0.257302\pi\)
−0.971609 + 0.236594i \(0.923969\pi\)
\(230\) 2.45191e37i 0.399816i
\(231\) 8.62629e37 2.83672e37i 1.31230 0.431543i
\(232\) 4.18606e35 0.00594289
\(233\) −5.08366e37 + 2.93505e37i −0.673724 + 0.388974i −0.797486 0.603337i \(-0.793837\pi\)
0.123763 + 0.992312i \(0.460504\pi\)
\(234\) 5.16122e37 6.73006e37i 0.638703 0.832847i
\(235\) −2.55898e37 + 4.43228e37i −0.295788 + 0.512320i
\(236\) 1.23358e38 7.12210e37i 1.33222 0.769159i
\(237\) 4.33288e37 + 4.93933e37i 0.437324 + 0.498534i
\(238\) 1.84229e38 1.38551e38i 1.73831 1.30731i
\(239\) 1.98942e38i 1.75534i 0.479269 + 0.877668i \(0.340902\pi\)
−0.479269 + 0.877668i \(0.659098\pi\)
\(240\) 1.44790e38 + 4.91273e37i 1.19497 + 0.405455i
\(241\) −6.98064e37 + 1.20908e38i −0.539042 + 0.933648i 0.459914 + 0.887963i \(0.347880\pi\)
−0.998956 + 0.0456843i \(0.985453\pi\)
\(242\) −1.54285e38 8.90763e37i −1.11501 0.643749i
\(243\) 8.20337e37 1.22955e38i 0.554999 0.831851i
\(244\) 6.92083e37 0.438451
\(245\) −5.15206e37 2.08330e38i −0.305720 1.23622i
\(246\) −2.36904e38 2.70062e38i −1.31708 1.50142i
\(247\) 1.87397e37 + 3.24580e37i 0.0976361 + 0.169111i
\(248\) −5.24635e35 3.02898e35i −0.00256230 0.00147935i
\(249\) 3.24709e37 + 1.63125e38i 0.148698 + 0.747018i
\(250\) −7.94931e37 1.37686e38i −0.341420 0.591357i
\(251\) 3.66503e38i 1.47672i 0.674408 + 0.738359i \(0.264399\pi\)
−0.674408 + 0.738359i \(0.735601\pi\)
\(252\) 1.31256e38 + 2.32363e38i 0.496262 + 0.878532i
\(253\) 8.62269e37 0.305995
\(254\) −3.02608e38 + 1.74711e38i −1.00819 + 0.582078i
\(255\) 6.12583e38 1.21938e38i 1.91656 0.381501i
\(256\) −1.67035e38 + 2.89313e38i −0.490872 + 0.850215i
\(257\) −4.78615e38 + 2.76329e38i −1.32147 + 0.762950i −0.983963 0.178374i \(-0.942916\pi\)
−0.337505 + 0.941324i \(0.609583\pi\)
\(258\) 4.88000e38 4.28083e38i 1.26621 1.11074i
\(259\) 1.56479e38 + 6.65974e37i 0.381644 + 0.162428i
\(260\) 4.14924e38i 0.951470i
\(261\) −8.26614e37 1.99407e38i −0.178260 0.430024i
\(262\) 6.94734e38 1.20331e39i 1.40928 2.44095i
\(263\) 6.16478e38 + 3.55924e38i 1.17659 + 0.679306i 0.955224 0.295885i \(-0.0956145\pi\)
0.221368 + 0.975190i \(0.428948\pi\)
\(264\) 3.15490e36 9.29825e36i 0.00566661 0.0167008i
\(265\) −1.31351e39 −2.22075
\(266\) −2.33089e38 + 2.83941e37i −0.371036 + 0.0451983i
\(267\) 4.41958e38 3.87694e38i 0.662522 0.581177i
\(268\) −2.47971e38 4.29498e38i −0.350141 0.606463i
\(269\) −1.01112e39 5.83770e38i −1.34513 0.776614i −0.357579 0.933883i \(-0.616398\pi\)
−0.987556 + 0.157269i \(0.949731\pi\)
\(270\) 9.47582e37 + 1.43666e39i 0.118795 + 1.80108i
\(271\) 3.80141e38 + 6.58424e38i 0.449197 + 0.778032i 0.998334 0.0577006i \(-0.0183769\pi\)
−0.549137 + 0.835732i \(0.685044\pi\)
\(272\) 1.36494e39i 1.52058i
\(273\) 4.69800e38 5.25502e38i 0.493526 0.552042i
\(274\) −1.58225e39 −1.56771
\(275\) −7.95718e38 + 4.59408e38i −0.743766 + 0.429413i
\(276\) 4.94721e37 + 2.48534e38i 0.0436330 + 0.219200i
\(277\) −5.78780e38 + 1.00248e39i −0.481767 + 0.834446i −0.999781 0.0209268i \(-0.993338\pi\)
0.518014 + 0.855372i \(0.326672\pi\)
\(278\) −1.36942e39 + 7.90635e38i −1.07602 + 0.621239i
\(279\) −4.06899e37 + 3.09728e38i −0.0301870 + 0.229781i
\(280\) −2.13517e37 9.08732e36i −0.0149591 0.00636659i
\(281\) 2.20657e39i 1.46021i −0.683333 0.730106i \(-0.739470\pi\)
0.683333 0.730106i \(-0.260530\pi\)
\(282\) 3.38397e38 9.97335e38i 0.211563 0.623527i
\(283\) −1.07064e39 + 1.85439e39i −0.632497 + 1.09552i 0.354542 + 0.935040i \(0.384637\pi\)
−0.987040 + 0.160477i \(0.948697\pi\)
\(284\) 1.09228e39 + 6.30629e38i 0.609876 + 0.352112i
\(285\) −6.02510e38 2.04432e38i −0.318014 0.107903i
\(286\) −2.90532e39 −1.44990
\(287\) −1.79458e39 2.38621e39i −0.846938 1.12616i
\(288\) −3.14789e39 4.13547e38i −1.40521 0.184606i
\(289\) 1.60400e39 + 2.77821e39i 0.677391 + 1.17328i
\(290\) 1.82096e39 + 1.05133e39i 0.727667 + 0.420119i
\(291\) −4.71092e38 + 9.37734e37i −0.178163 + 0.0354643i
\(292\) −1.18482e38 2.05217e38i −0.0424157 0.0734661i
\(293\) 3.00135e39i 1.01727i 0.860983 + 0.508634i \(0.169849\pi\)
−0.860983 + 0.508634i \(0.830151\pi\)
\(294\) 1.87674e39 + 3.99758e39i 0.602346 + 1.28304i
\(295\) 6.38687e39 1.94149
\(296\) 1.59249e37 9.19425e36i 0.00458574 0.00264758i
\(297\) −5.05231e39 + 3.33238e38i −1.37844 + 0.0909183i
\(298\) 2.75513e39 4.77203e39i 0.712331 1.23379i
\(299\) 5.79657e38 3.34665e38i 0.142047 0.0820109i
\(300\) −1.78070e39 2.02994e39i −0.413668 0.471567i
\(301\) 4.31187e39 3.24278e39i 0.949732 0.714256i
\(302\) 1.00420e40i 2.09754i
\(303\) −8.26049e39 2.80279e39i −1.63653 0.555276i
\(304\) 6.95195e38 1.20411e39i 0.130656 0.226303i
\(305\) 2.68744e39 + 1.55160e39i 0.479227 + 0.276682i
\(306\) −1.18734e40 + 4.92194e39i −2.00924 + 0.832902i
\(307\) −3.76128e39 −0.604118 −0.302059 0.953289i \(-0.597674\pi\)
−0.302059 + 0.953289i \(0.597674\pi\)
\(308\) 3.58004e39 8.41173e39i 0.545854 1.28255i
\(309\) 4.92017e39 + 5.60882e39i 0.712269 + 0.811962i
\(310\) −1.52146e39 2.63525e39i −0.209158 0.362272i
\(311\) 4.75390e39 + 2.74467e39i 0.620704 + 0.358363i 0.777143 0.629324i \(-0.216668\pi\)
−0.156439 + 0.987688i \(0.550002\pi\)
\(312\) −1.48798e37 7.47519e37i −0.00184554 0.00927148i
\(313\) −3.87375e39 6.70952e39i −0.456480 0.790646i 0.542292 0.840190i \(-0.317557\pi\)
−0.998772 + 0.0495436i \(0.984223\pi\)
\(314\) 2.32991e40i 2.60895i
\(315\) −1.12546e38 + 1.19656e40i −0.0119774 + 1.27340i
\(316\) 6.61469e39 0.669139
\(317\) −4.37901e39 + 2.52822e39i −0.421141 + 0.243146i −0.695566 0.718463i \(-0.744846\pi\)
0.274424 + 0.961609i \(0.411513\pi\)
\(318\) 2.65096e40 5.27687e39i 2.42420 0.482550i
\(319\) −3.69724e39 + 6.40381e39i −0.321534 + 0.556913i
\(320\) 1.35717e40 7.83561e39i 1.12262 0.648146i
\(321\) 8.42856e39 7.39370e39i 0.663243 0.581810i
\(322\) 5.07081e38 + 4.16266e39i 0.0379650 + 0.311657i
\(323\) 5.67989e39i 0.404668i
\(324\) −3.85923e39 1.43712e40i −0.261686 0.974482i
\(325\) −3.56612e39 + 6.17670e39i −0.230177 + 0.398679i
\(326\) 1.41777e40 + 8.18551e39i 0.871214 + 0.502995i
\(327\) −9.62067e39 + 2.83544e40i −0.562913 + 1.65904i
\(328\) −3.22842e38 −0.0179891
\(329\) 3.42778e39 8.05399e39i 0.181919 0.427441i
\(330\) 3.70767e40 3.25244e40i 1.87447 1.64432i
\(331\) 1.21573e40 + 2.10571e40i 0.585586 + 1.01426i 0.994802 + 0.101827i \(0.0324688\pi\)
−0.409216 + 0.912437i \(0.634198\pi\)
\(332\) 1.45012e40 + 8.37225e39i 0.665570 + 0.384267i
\(333\) −7.52445e39 5.77043e39i −0.329130 0.252406i
\(334\) −2.27290e40 3.93679e40i −0.947628 1.64134i
\(335\) 2.22372e40i 0.883819i
\(336\) −2.55972e40 5.34603e39i −0.969983 0.202583i
\(337\) 2.55704e40 0.923972 0.461986 0.886887i \(-0.347137\pi\)
0.461986 + 0.886887i \(0.347137\pi\)
\(338\) 1.60887e40 9.28881e39i 0.554439 0.320105i
\(339\) 3.47891e39 + 1.74771e40i 0.114353 + 0.574479i
\(340\) 3.14403e40 5.44562e40i 0.985880 1.70759i
\(341\) 9.26743e39 5.35056e39i 0.277261 0.160077i
\(342\) 1.29813e40 + 1.70539e39i 0.370595 + 0.0486861i
\(343\) 1.30552e40 + 3.43030e40i 0.355695 + 0.934602i
\(344\) 5.83373e38i 0.0151709i
\(345\) −3.65088e39 + 1.07600e40i −0.0906343 + 0.267121i
\(346\) −8.38387e39 + 1.45213e40i −0.198713 + 0.344181i
\(347\) 2.36731e39 + 1.36677e39i 0.0535776 + 0.0309330i 0.526550 0.850144i \(-0.323485\pi\)
−0.472972 + 0.881077i \(0.656819\pi\)
\(348\) −2.05791e40 6.98253e39i −0.444795 0.150919i
\(349\) −5.84589e40 −1.20682 −0.603412 0.797430i \(-0.706192\pi\)
−0.603412 + 0.797430i \(0.706192\pi\)
\(350\) −2.68577e40 3.57121e40i −0.529638 0.704250i
\(351\) −3.26706e40 + 2.18493e40i −0.615521 + 0.411645i
\(352\) 5.43798e40 + 9.41886e40i 0.978938 + 1.69557i
\(353\) −7.22337e40 4.17041e40i −1.24264 0.717437i −0.273007 0.962012i \(-0.588018\pi\)
−0.969630 + 0.244575i \(0.921352\pi\)
\(354\) −1.28901e41 + 2.56584e40i −2.11936 + 0.421869i
\(355\) 2.82764e40 + 4.89762e40i 0.444397 + 0.769718i
\(356\) 5.91863e40i 0.889245i
\(357\) −1.01477e41 + 3.33704e40i −1.45773 + 0.479369i
\(358\) −1.27159e41 −1.74670
\(359\) −9.95269e40 + 5.74619e40i −1.30746 + 0.754864i −0.981672 0.190578i \(-0.938964\pi\)
−0.325791 + 0.945442i \(0.605630\pi\)
\(360\) 1.02672e39 + 7.87383e38i 0.0129007 + 0.00989341i
\(361\) 3.87063e40 6.70413e40i 0.465229 0.805800i
\(362\) 2.37091e40 1.36884e40i 0.272632 0.157404i
\(363\) 5.44431e40 + 6.20633e40i 0.599014 + 0.682855i
\(364\) −8.58105e39 7.04424e40i −0.0903479 0.741672i
\(365\) 1.06251e40i 0.107065i
\(366\) −6.04718e40 2.05181e40i −0.583251 0.197898i
\(367\) 8.16638e40 1.41446e41i 0.754002 1.30597i −0.191867 0.981421i \(-0.561454\pi\)
0.945869 0.324549i \(-0.105212\pi\)
\(368\) −2.15038e40 1.24152e40i −0.190086 0.109746i
\(369\) 6.37512e40 + 1.53789e41i 0.539593 + 1.30168i
\(370\) 9.23658e40 0.748658
\(371\) 2.22998e41 2.71648e40i 1.73108 0.210874i
\(372\) 2.07392e40 + 2.36420e40i 0.154207 + 0.175791i
\(373\) 3.17682e40 + 5.50242e40i 0.226283 + 0.391933i 0.956704 0.291064i \(-0.0940093\pi\)
−0.730421 + 0.682998i \(0.760676\pi\)
\(374\) 3.81305e41 + 2.20146e41i 2.60211 + 1.50233i
\(375\) 1.43835e40 + 7.22589e40i 0.0940512 + 0.472488i
\(376\) −4.73230e38 8.19659e38i −0.00296529 0.00513603i
\(377\) 5.73991e40i 0.344702i
\(378\) −4.57988e40 2.41944e41i −0.263624 1.39266i
\(379\) −2.03343e41 −1.12202 −0.561011 0.827809i \(-0.689587\pi\)
−0.561011 + 0.827809i \(0.689587\pi\)
\(380\) −5.54716e40 + 3.20265e40i −0.293449 + 0.169423i
\(381\) 1.58811e41 3.16122e40i 0.805531 0.160345i
\(382\) 8.35363e38 1.44689e39i 0.00406313 0.00703756i
\(383\) 1.93151e41 1.11516e41i 0.900981 0.520182i 0.0234628 0.999725i \(-0.492531\pi\)
0.877518 + 0.479543i \(0.159198\pi\)
\(384\) −4.28998e39 + 3.76325e39i −0.0191936 + 0.0168370i
\(385\) 3.27602e41 2.46376e41i 1.40596 1.05737i
\(386\) 3.98655e41i 1.64135i
\(387\) −2.77896e41 + 1.15198e41i −1.09776 + 0.455060i
\(388\) −2.41784e40 + 4.18783e40i −0.0916474 + 0.158738i
\(389\) −2.64864e41 1.52919e41i −0.963449 0.556248i −0.0662163 0.997805i \(-0.521093\pi\)
−0.897233 + 0.441558i \(0.854426\pi\)
\(390\) 1.23012e41 3.62546e41i 0.429452 1.26570i
\(391\) −1.01435e41 −0.339907
\(392\) 3.81286e39 + 1.10120e39i 0.0122652 + 0.00354231i
\(393\) −4.84051e41 + 4.24619e41i −1.49489 + 1.31135i
\(394\) −3.11883e41 5.40197e41i −0.924808 1.60182i
\(395\) 2.56856e41 + 1.48296e41i 0.731369 + 0.422256i
\(396\) −3.10198e41 + 4.04487e41i −0.848233 + 1.10607i
\(397\) 5.28134e40 + 9.14755e40i 0.138706 + 0.240246i 0.927007 0.375044i \(-0.122372\pi\)
−0.788301 + 0.615290i \(0.789039\pi\)
\(398\) 1.11559e41i 0.281433i
\(399\) 1.06517e41 + 2.22463e40i 0.258139 + 0.0539128i
\(400\) 2.64588e41 0.616043
\(401\) −3.98995e41 + 2.30360e41i −0.892600 + 0.515343i −0.874792 0.484498i \(-0.839002\pi\)
−0.0178082 + 0.999841i \(0.505669\pi\)
\(402\) 8.93352e40 + 4.48796e41i 0.192046 + 0.964788i
\(403\) 4.15333e40 7.19378e40i 0.0858056 0.148620i
\(404\) −7.60522e41 + 4.39088e41i −1.51012 + 0.871866i
\(405\) 1.72333e41 6.44573e41i 0.328919 1.23025i
\(406\) −3.30891e41 1.40827e41i −0.607111 0.258387i
\(407\) 3.24825e41i 0.572978i
\(408\) −3.71135e39 + 1.09382e40i −0.00629461 + 0.0185517i
\(409\) −2.58226e41 + 4.47261e41i −0.421141 + 0.729438i −0.996051 0.0887788i \(-0.971704\pi\)
0.574910 + 0.818216i \(0.305037\pi\)
\(410\) −1.40438e42 8.10822e41i −2.20264 1.27170i
\(411\) 6.94357e41 + 2.35596e41i 1.04740 + 0.355385i
\(412\) 7.51125e41 1.08983
\(413\) −1.08431e42 + 1.32087e41i −1.51340 + 0.184357i
\(414\) 3.04559e40 2.31828e41i 0.0408946 0.311286i
\(415\) 3.75399e41 + 6.50210e41i 0.484979 + 0.840009i
\(416\) 7.31132e41 + 4.22119e41i 0.908872 + 0.524737i
\(417\) 7.18683e41 1.43058e41i 0.859727 0.171133i
\(418\) −2.24251e41 3.88415e41i −0.258175 0.447172i
\(419\) 2.48406e41i 0.275257i −0.990484 0.137629i \(-0.956052\pi\)
0.990484 0.137629i \(-0.0439480\pi\)
\(420\) 8.98096e41 + 8.02899e41i 0.957931 + 0.856392i
\(421\) −1.86828e42 −1.91835 −0.959175 0.282815i \(-0.908732\pi\)
−0.959175 + 0.282815i \(0.908732\pi\)
\(422\) −1.36688e42 + 7.89166e41i −1.35123 + 0.780134i
\(423\) −2.97005e41 + 3.87285e41i −0.282695 + 0.368625i
\(424\) 1.21454e40 2.10364e40i 0.0111316 0.0192805i
\(425\) 9.36063e41 5.40436e41i 0.826194 0.477003i
\(426\) −7.67436e41 8.74851e41i −0.652362 0.743670i
\(427\) −4.88341e41 2.07838e41i −0.399831 0.170169i
\(428\) 1.12874e42i 0.890213i
\(429\) 1.27497e42 + 4.32600e41i 0.968689 + 0.328677i
\(430\) 1.46515e42 2.53771e42i 1.07247 1.85758i
\(431\) −1.85882e41 1.07319e41i −0.131100 0.0756904i 0.433016 0.901386i \(-0.357449\pi\)
−0.564116 + 0.825696i \(0.690783\pi\)
\(432\) 1.30796e42 + 6.44344e41i 0.888902 + 0.437903i
\(433\) 3.53144e41 0.231284 0.115642 0.993291i \(-0.463107\pi\)
0.115642 + 0.993291i \(0.463107\pi\)
\(434\) 3.12801e41 + 4.15926e41i 0.197439 + 0.262531i
\(435\) −6.42571e41 7.32508e41i −0.390924 0.445640i
\(436\) 1.50718e42 + 2.61052e42i 0.883857 + 1.53089i
\(437\) 8.94834e40 + 5.16633e40i 0.0505871 + 0.0292065i
\(438\) 4.26849e40 + 2.14437e41i 0.0232642 + 0.116873i
\(439\) −9.74675e41 1.68819e42i −0.512186 0.887132i −0.999900 0.0141287i \(-0.995503\pi\)
0.487714 0.873003i \(-0.337831\pi\)
\(440\) 4.43228e40i 0.0224587i
\(441\) −2.28353e41 2.03375e42i −0.111581 0.993755i
\(442\) 3.41774e42 1.61058
\(443\) 1.41515e42 8.17039e41i 0.643197 0.371350i −0.142648 0.989773i \(-0.545562\pi\)
0.785845 + 0.618424i \(0.212228\pi\)
\(444\) −9.36251e41 + 1.86366e41i −0.410454 + 0.0817031i
\(445\) 1.32691e42 2.29828e42i 0.561154 0.971946i
\(446\) −4.21772e42 + 2.43510e42i −1.72076 + 0.993479i
\(447\) −1.91962e42 + 1.68393e42i −0.755604 + 0.662831i
\(448\) −2.14204e42 + 1.61094e42i −0.813541 + 0.611831i
\(449\) 4.09931e42i 1.50234i −0.660107 0.751171i \(-0.729489\pi\)
0.660107 0.751171i \(-0.270511\pi\)
\(450\) 9.54102e41 + 2.30162e42i 0.337438 + 0.814015i
\(451\) 2.85143e42 4.93882e42i 0.973281 1.68577i
\(452\) 1.55364e42 + 8.96997e41i 0.511843 + 0.295513i
\(453\) 1.49525e42 4.40685e42i 0.475491 1.40139i
\(454\) 5.02604e42 1.54288
\(455\) 1.24605e42 2.92774e42i 0.369278 0.867663i
\(456\) 8.84514e39 7.75913e39i 0.00253086 0.00222012i
\(457\) −2.26770e42 3.92777e42i −0.626508 1.08514i −0.988247 0.152864i \(-0.951150\pi\)
0.361739 0.932279i \(-0.382183\pi\)
\(458\) 2.58501e42 + 1.49246e42i 0.689628 + 0.398157i
\(459\) 5.94341e42 3.92013e41i 1.53120 0.100994i
\(460\) 5.71951e41 + 9.90648e41i 0.142309 + 0.246487i
\(461\) 1.00134e41i 0.0240641i −0.999928 0.0120320i \(-0.996170\pi\)
0.999928 0.0120320i \(-0.00383001\pi\)
\(462\) −5.62194e42 + 6.28851e42i −1.30501 + 1.45974i
\(463\) 6.12085e42 1.37251 0.686255 0.727361i \(-0.259253\pi\)
0.686255 + 0.727361i \(0.259253\pi\)
\(464\) 1.84408e42 1.06468e42i 0.399478 0.230639i
\(465\) 2.75294e41 + 1.38300e42i 0.0576168 + 0.289451i
\(466\) 2.72638e42 4.72223e42i 0.551330 0.954932i
\(467\) 4.20469e42 2.42758e42i 0.821606 0.474354i −0.0293642 0.999569i \(-0.509348\pi\)
0.850970 + 0.525215i \(0.176015\pi\)
\(468\) −5.15388e41 + 3.92309e42i −0.0973197 + 0.740790i
\(469\) 4.59888e41 + 3.77525e42i 0.0839241 + 0.688939i
\(470\) 4.75409e42i 0.838497i
\(471\) −3.46923e42 + 1.02246e43i −0.591423 + 1.74306i
\(472\) −5.90560e40 + 1.02288e41i −0.00973177 + 0.0168559i
\(473\) 8.92441e42 + 5.15251e42i 1.42168 + 0.820806i
\(474\) −5.77969e42 1.96105e42i −0.890125 0.302020i
\(475\) −1.10103e42 −0.163946
\(476\) −4.21147e42 + 9.89534e42i −0.606348 + 1.42469i
\(477\) −1.24192e43 1.63155e42i −1.72902 0.227147i
\(478\) −9.23990e42 1.60040e43i −1.24400 2.15467i
\(479\) −3.85183e42 2.22386e42i −0.501533 0.289560i 0.227814 0.973705i \(-0.426842\pi\)
−0.729346 + 0.684145i \(0.760176\pi\)
\(480\) −1.40560e43 + 2.79792e42i −1.77012 + 0.352351i
\(481\) 1.26071e42 + 2.18362e42i 0.153566 + 0.265984i
\(482\) 1.29687e43i 1.52807i
\(483\) 3.97289e41 1.90225e42i 0.0452848 0.216827i
\(484\) 8.31143e42 0.916537
\(485\) −1.87775e42 + 1.08412e42i −0.200342 + 0.115667i
\(486\) −8.88572e41 + 1.37012e43i −0.0917302 + 1.41442i
\(487\) −2.96424e42 + 5.13422e42i −0.296108 + 0.512874i −0.975242 0.221140i \(-0.929022\pi\)
0.679134 + 0.734014i \(0.262356\pi\)
\(488\) −4.96987e40 + 2.86935e40i −0.00480427 + 0.00277375i
\(489\) −5.00295e42 5.70319e42i −0.468042 0.533551i
\(490\) 1.38205e43 + 1.43663e43i 1.25137 + 1.30079i
\(491\) 1.07119e43i 0.938779i 0.882991 + 0.469390i \(0.155526\pi\)
−0.882991 + 0.469390i \(0.844474\pi\)
\(492\) 1.58713e43 + 5.38515e42i 1.34639 + 0.456832i
\(493\) 4.34934e42 7.53328e42i 0.357168 0.618633i
\(494\) −3.01504e42 1.74073e42i −0.239697 0.138389i
\(495\) −2.11136e43 + 8.75235e42i −1.62510 + 0.673661i
\(496\) −3.08156e42 −0.229649
\(497\) −5.81342e42 7.73000e42i −0.419498 0.557798i
\(498\) −1.01885e43 1.16145e43i −0.711936 0.811582i
\(499\) 4.82861e42 + 8.36339e42i 0.326748 + 0.565944i 0.981865 0.189583i \(-0.0607138\pi\)
−0.655116 + 0.755528i \(0.727380\pi\)
\(500\) 6.42353e42 + 3.70863e42i 0.420972 + 0.243048i
\(501\) 4.11260e42 + 2.06606e43i 0.261043 + 1.31141i
\(502\) −1.70223e43 2.94835e43i −1.04655 1.81267i
\(503\) 1.66338e43i 0.990613i 0.868718 + 0.495306i \(0.164944\pi\)
−0.868718 + 0.495306i \(0.835056\pi\)
\(504\) −1.90592e41 1.12442e41i −0.0109955 0.00648693i
\(505\) −3.93760e43 −2.20074
\(506\) −6.93656e42 + 4.00482e42i −0.375609 + 0.216858i
\(507\) −8.44348e42 + 1.68072e42i −0.442990 + 0.0881795i
\(508\) 8.15086e42 1.41177e43i 0.414366 0.717703i
\(509\) 1.04189e43 6.01538e42i 0.513262 0.296332i −0.220911 0.975294i \(-0.570903\pi\)
0.734174 + 0.678962i \(0.237570\pi\)
\(510\) −4.36160e43 + 3.82608e43i −2.08220 + 1.82655i
\(511\) 2.19737e41 + 1.80384e42i 0.0101665 + 0.0834571i
\(512\) 3.16013e43i 1.41705i
\(513\) −5.44278e42 2.68129e42i −0.236561 0.116538i
\(514\) 2.56683e43 4.44587e43i 1.08140 1.87304i
\(515\) 2.91671e43 + 1.68396e43i 1.19118 + 0.687729i
\(516\) −9.73091e42 + 2.86793e43i −0.385264 + 1.13546i
\(517\) 1.67188e43 0.641736
\(518\) −1.56811e43 + 1.91022e42i −0.583580 + 0.0710897i
\(519\) 5.84140e42 5.12419e42i 0.210785 0.184904i
\(520\) −1.72026e41 2.97958e41i −0.00601923 0.0104256i
\(521\) 1.07511e43 + 6.20714e42i 0.364795 + 0.210614i 0.671182 0.741293i \(-0.265787\pi\)
−0.306387 + 0.951907i \(0.599120\pi\)
\(522\) 1.59112e43 + 1.22022e43i 0.523572 + 0.401522i
\(523\) 1.03980e43 + 1.80098e43i 0.331835 + 0.574755i 0.982872 0.184291i \(-0.0589990\pi\)
−0.651037 + 0.759046i \(0.725666\pi\)
\(524\) 6.48234e43i 2.00646i
\(525\) 6.46874e42 + 1.96711e43i 0.194210 + 0.590580i
\(526\) −6.61238e43 −1.92569
\(527\) −1.09020e43 + 6.29426e42i −0.307989 + 0.177818i
\(528\) −9.75086e42 4.89857e43i −0.267239 1.34254i
\(529\) −1.78818e43 + 3.09722e43i −0.475468 + 0.823534i
\(530\) 1.05666e44 6.10064e43i 2.72597 1.57384i
\(531\) 6.03877e43 + 7.93330e42i 1.51160 + 0.198583i
\(532\) 8.75517e42 6.58441e42i 0.212656 0.159930i
\(533\) 4.42681e43i 1.04341i
\(534\) −1.75469e43 + 5.17150e43i −0.401367 + 1.18292i
\(535\) 2.53055e43 4.38304e43i 0.561764 0.973004i
\(536\) 3.56137e41 + 2.05616e41i 0.00767326 + 0.00443016i
\(537\) 5.58027e43 + 1.89339e43i 1.16699 + 0.395960i
\(538\) 1.08453e44 2.20154
\(539\) −5.05222e43 + 4.86028e43i −0.995548 + 0.957726i
\(540\) −3.73410e43 5.58348e43i −0.714308 1.06808i
\(541\) 1.34204e43 + 2.32448e43i 0.249234 + 0.431687i 0.963314 0.268378i \(-0.0864877\pi\)
−0.714079 + 0.700065i \(0.753154\pi\)
\(542\) −6.11613e43 3.53115e43i −1.10278 0.636689i
\(543\) −1.24427e43 + 2.47679e42i −0.217830 + 0.0433603i
\(544\) −6.39710e43 1.10801e44i −1.08743 1.88348i
\(545\) 1.35159e44i 2.23101i
\(546\) −1.33862e43 + 6.40942e43i −0.214573 + 1.02739i
\(547\) −6.01270e43 −0.935992 −0.467996 0.883731i \(-0.655024\pi\)
−0.467996 + 0.883731i \(0.655024\pi\)
\(548\) 6.39278e43 3.69087e43i 0.966497 0.558007i
\(549\) 2.34824e43 + 1.80084e43i 0.344814 + 0.264435i
\(550\) 4.26746e43 7.39146e43i 0.608648 1.05421i
\(551\) −7.67374e42 + 4.43044e42i −0.106312 + 0.0613792i
\(552\) −1.38568e41 1.57962e41i −0.00186482 0.00212583i
\(553\) −4.66739e43 1.98644e43i −0.610200 0.259701i
\(554\) 1.07526e44i 1.36571i
\(555\) −4.05339e43 1.37532e43i −0.500186 0.169713i
\(556\) 3.68858e43 6.38881e43i 0.442245 0.765990i
\(557\) −4.52254e43 2.61109e43i −0.526864 0.304185i 0.212874 0.977080i \(-0.431718\pi\)
−0.739739 + 0.672894i \(0.765051\pi\)
\(558\) −1.11121e43 2.68061e43i −0.125790 0.303449i
\(559\) 7.99919e43 0.879949
\(560\) −1.17173e44 + 1.42737e43i −1.25262 + 0.152590i
\(561\) −1.34553e44 1.53385e44i −1.39793 1.59360i
\(562\) 1.02484e44 + 1.77508e44i 1.03485 + 1.79241i
\(563\) 1.38221e44 + 7.98019e43i 1.35656 + 0.783211i 0.989159 0.146851i \(-0.0469137\pi\)
0.367403 + 0.930062i \(0.380247\pi\)
\(564\) 9.59228e42 + 4.81891e43i 0.0915074 + 0.459709i
\(565\) 4.02199e43 + 6.96630e43i 0.372963 + 0.645991i
\(566\) 1.98903e44i 1.79300i
\(567\) −1.59269e43 + 1.12994e44i −0.139573 + 0.990212i
\(568\) −1.04583e42 −0.00891019
\(569\) −4.22488e42 + 2.43924e42i −0.0349960 + 0.0202049i −0.517396 0.855746i \(-0.673099\pi\)
0.482400 + 0.875951i \(0.339765\pi\)
\(570\) 5.79641e43 1.15380e43i 0.466833 0.0929255i
\(571\) 9.15292e43 1.58533e44i 0.716774 1.24149i −0.245498 0.969397i \(-0.578951\pi\)
0.962271 0.272091i \(-0.0877152\pi\)
\(572\) 1.17384e44 6.77714e43i 0.893863 0.516072i
\(573\) −5.82033e41 + 5.10571e41i −0.00430996 + 0.00378078i
\(574\) 2.55194e44 + 1.08611e44i 1.83772 + 0.782135i
\(575\) 1.96628e43i 0.137709i
\(576\) 1.38053e44 5.72277e43i 0.940340 0.389804i
\(577\) −2.28312e43 + 3.95449e43i −0.151257 + 0.261986i −0.931690 0.363254i \(-0.881666\pi\)
0.780433 + 0.625240i \(0.214999\pi\)
\(578\) −2.58069e44 1.48996e44i −1.66300 0.960131i
\(579\) 5.93594e43 1.74946e44i 0.372077 1.09660i
\(580\) −9.80965e43 −0.598144
\(581\) −7.71791e43 1.02624e44i −0.457806 0.608737i
\(582\) 3.35419e43 2.94236e43i 0.193562 0.169796i
\(583\) 2.14542e44 + 3.71598e44i 1.20453 + 2.08630i
\(584\) 1.70164e41 + 9.82444e40i 0.000929529 + 0.000536664i
\(585\) −1.07966e44 + 1.40784e44i −0.573842 + 0.748271i
\(586\) −1.39398e44 2.41445e44i −0.720934 1.24869i
\(587\) 8.50030e43i 0.427784i −0.976857 0.213892i \(-0.931386\pi\)
0.976857 0.213892i \(-0.0686140\pi\)
\(588\) −1.69076e44 1.17736e44i −0.828028 0.576597i
\(589\) 1.28232e43 0.0611158
\(590\) −5.13795e44 + 2.96639e44i −2.38318 + 1.37593i
\(591\) 5.64321e43 + 2.83500e44i 0.254757 + 1.27983i
\(592\) 4.67693e43 8.10068e43i 0.205501 0.355938i
\(593\) −1.73648e44 + 1.00255e44i −0.742666 + 0.428778i −0.823038 0.567987i \(-0.807723\pi\)
0.0803718 + 0.996765i \(0.474389\pi\)
\(594\) 3.90958e44 2.61463e44i 1.62760 1.08850i
\(595\) −3.85382e44 + 2.89830e44i −1.56178 + 1.17455i
\(596\) 2.57072e44i 1.01418i
\(597\) 1.66110e43 4.89566e43i 0.0637980 0.188028i
\(598\) −3.10872e43 + 5.38445e43i −0.116242 + 0.201337i
\(599\) −2.08808e44 1.20556e44i −0.760184 0.438893i 0.0691776 0.997604i \(-0.477962\pi\)
−0.829362 + 0.558712i \(0.811296\pi\)
\(600\) 2.12034e42 + 7.19432e41i 0.00751596 + 0.00255017i
\(601\) −6.44619e43 −0.222491 −0.111245 0.993793i \(-0.535484\pi\)
−0.111245 + 0.993793i \(0.535484\pi\)
\(602\) −1.96258e44 + 4.61132e44i −0.659605 + 1.54982i
\(603\) 2.76214e43 2.10252e44i 0.0904002 0.688119i
\(604\) −2.34247e44 4.05728e44i −0.746592 1.29314i
\(605\) 3.22743e44 + 1.86336e44i 1.00178 + 0.578376i
\(606\) 7.94694e44 1.58188e44i 2.40236 0.478202i
\(607\) −1.06061e44 1.83703e44i −0.312275 0.540876i 0.666580 0.745434i \(-0.267758\pi\)
−0.978854 + 0.204558i \(0.934424\pi\)
\(608\) 1.30328e44i 0.373749i
\(609\) 1.24239e44 + 1.11070e44i 0.347043 + 0.310257i
\(610\) −2.88257e44 −0.784335
\(611\) 1.12391e44 6.48892e43i 0.297902 0.171994i
\(612\) 3.64908e44 4.75829e44i 0.942239 1.22865i
\(613\) 1.86079e44 3.22299e44i 0.468091 0.810758i −0.531244 0.847219i \(-0.678275\pi\)
0.999335 + 0.0364610i \(0.0116085\pi\)
\(614\) 3.02578e44 1.74693e44i 0.741554 0.428137i
\(615\) 4.95571e44 + 5.64934e44i 1.18333 + 1.34895i
\(616\) 9.16640e41 + 7.52476e42i 0.00213259 + 0.0175066i
\(617\) 8.21847e43i 0.186307i 0.995652 + 0.0931533i \(0.0296947\pi\)
−0.995652 + 0.0931533i \(0.970305\pi\)
\(618\) −6.56307e44 2.22686e44i −1.44975 0.491900i
\(619\) 1.52344e44 2.63867e44i 0.327925 0.567983i −0.654175 0.756343i \(-0.726984\pi\)
0.982100 + 0.188360i \(0.0603173\pi\)
\(620\) 1.22943e44 + 7.09814e43i 0.257892 + 0.148894i
\(621\) −4.78843e43 + 9.72007e43i −0.0978875 + 0.198703i
\(622\) −5.09906e44 −1.01588
\(623\) −1.77741e44 + 4.17625e44i −0.345128 + 0.810919i
\(624\) −2.55674e44 2.91459e44i −0.483875 0.551600i
\(625\) 3.34799e44 + 5.79889e44i 0.617595 + 1.06971i
\(626\) 6.23250e44 + 3.59834e44i 1.12066 + 0.647012i
\(627\) 4.05761e43 + 2.03843e44i 0.0711196 + 0.357286i
\(628\) 5.43492e44 + 9.41356e44i 0.928622 + 1.60842i
\(629\) 3.82115e44i 0.636479i
\(630\) −5.46690e44 9.67804e44i −0.887753 1.57159i
\(631\) −8.26468e44 −1.30845 −0.654224 0.756301i \(-0.727005\pi\)
−0.654224 + 0.756301i \(0.727005\pi\)
\(632\) −4.75003e42 + 2.74243e42i −0.00733201 + 0.00423314i
\(633\) 7.17348e44 1.42792e44i 1.07962 0.214904i
\(634\) 2.34848e44 4.06768e44i 0.344634 0.596923i
\(635\) 6.33016e44 3.65472e44i 0.905806 0.522967i
\(636\) −9.47976e44 + 8.31583e44i −1.32277 + 1.16036i
\(637\) −1.50996e44 + 5.22818e44i −0.205463 + 0.711410i
\(638\) 6.86876e44i 0.911481i
\(639\) 2.06518e44 + 4.98191e44i 0.267266 + 0.644737i
\(640\) −1.28800e43 + 2.23089e43i −0.0162569 + 0.0281577i
\(641\) 7.63000e44 + 4.40518e44i 0.939282 + 0.542295i 0.889735 0.456477i \(-0.150889\pi\)
0.0495467 + 0.998772i \(0.484222\pi\)
\(642\) −3.34637e44 + 9.86255e44i −0.401804 + 1.18421i
\(643\) −7.62565e44 −0.893103 −0.446551 0.894758i \(-0.647348\pi\)
−0.446551 + 0.894758i \(0.647348\pi\)
\(644\) −1.17589e44 1.56356e44i −0.134336 0.178624i
\(645\) −1.02083e45 + 8.95492e44i −1.13762 + 0.997945i
\(646\) 2.63803e44 + 4.56921e44i 0.286787 + 0.496730i
\(647\) 8.59015e44 + 4.95953e44i 0.911030 + 0.525983i 0.880762 0.473559i \(-0.157031\pi\)
0.0302673 + 0.999542i \(0.490364\pi\)
\(648\) 8.72959e42 + 8.72000e42i 0.00903221 + 0.00902228i
\(649\) −1.04320e45 1.80687e45i −1.05306 1.82395i
\(650\) 6.62517e44i 0.652504i
\(651\) −7.53390e43 2.29101e44i −0.0723976 0.220157i
\(652\) −7.63764e44 −0.716139
\(653\) 4.18385e43 2.41555e43i 0.0382794 0.0221006i −0.480738 0.876864i \(-0.659631\pi\)
0.519018 + 0.854764i \(0.326298\pi\)
\(654\) −5.42985e44 2.72781e45i −0.484779 2.43540i
\(655\) −1.45329e45 + 2.51717e45i −1.26617 + 2.19307i
\(656\) −1.42222e45 + 8.21117e44i −1.20922 + 0.698142i
\(657\) 1.31977e43 1.00460e44i 0.0109510 0.0833578i
\(658\) 9.83194e43 + 8.07110e44i 0.0796205 + 0.653610i
\(659\) 7.89869e44i 0.624293i −0.950034 0.312146i \(-0.898952\pi\)
0.950034 0.312146i \(-0.101048\pi\)
\(660\) −7.39323e44 + 2.17896e45i −0.570337 + 1.68092i
\(661\) −1.89650e44 + 3.28483e44i −0.142800 + 0.247337i −0.928550 0.371207i \(-0.878944\pi\)
0.785750 + 0.618544i \(0.212277\pi\)
\(662\) −1.95600e45 1.12930e45i −1.43761 0.830006i
\(663\) −1.49985e45 5.08899e44i −1.07604 0.365103i
\(664\) −1.38844e43 −0.00972387
\(665\) 4.87591e44 5.93967e43i 0.333357 0.0406084i
\(666\) 8.73316e44 + 1.14730e44i 0.582886 + 0.0765754i
\(667\) 7.91216e43 + 1.37043e44i 0.0515563 + 0.0892982i
\(668\) 1.83664e45 + 1.06039e45i 1.16843 + 0.674592i
\(669\) 2.21349e45 4.40607e44i 1.37487 0.273674i
\(670\) 1.03281e45 + 1.78888e45i 0.626360 + 1.08489i
\(671\) 1.01372e45i 0.600283i
\(672\) 2.32845e45 7.65700e44i 1.34635 0.442742i
\(673\) 8.82927e44 0.498521 0.249261 0.968436i \(-0.419812\pi\)
0.249261 + 0.968436i \(0.419812\pi\)
\(674\) −2.05702e45 + 1.18762e45i −1.13417 + 0.654816i
\(675\) −7.59903e43 1.15211e45i −0.0409164 0.620345i
\(676\) −4.33355e44 + 7.50592e44i −0.227875 + 0.394691i
\(677\) 1.42787e45 8.24382e44i 0.733281 0.423360i −0.0863406 0.996266i \(-0.527517\pi\)
0.819621 + 0.572906i \(0.194184\pi\)
\(678\) −1.09159e45 1.24437e45i −0.547500 0.624131i
\(679\) 2.96369e44 2.22887e44i 0.145183 0.109186i
\(680\) 5.21402e43i 0.0249477i
\(681\) −2.20563e45 7.48374e44i −1.03081 0.349756i
\(682\) −4.97015e44 + 8.60855e44i −0.226892 + 0.392989i
\(683\) 2.43943e44 + 1.40840e44i 0.108782 + 0.0628052i 0.553404 0.832913i \(-0.313329\pi\)
−0.444622 + 0.895718i \(0.646662\pi\)
\(684\) −5.64263e44 + 2.33907e44i −0.245801 + 0.101893i
\(685\) 3.30986e45 1.40851
\(686\) −2.64344e45 2.15317e45i −1.09897 0.895143i
\(687\) −9.12184e44 1.03986e45i −0.370489 0.422344i
\(688\) −1.48375e45 2.56993e45i −0.588770 1.01978i
\(689\) 2.88450e45 + 1.66537e45i 1.11831 + 0.645658i
\(690\) −2.06054e44 1.03516e45i −0.0780541 0.392123i
\(691\) −6.99670e44 1.21186e45i −0.258967 0.448544i 0.706998 0.707215i \(-0.250049\pi\)
−0.965965 + 0.258671i \(0.916715\pi\)
\(692\) 7.82272e44i 0.282918i
\(693\) 3.40349e45 1.92255e45i 1.20280 0.679433i
\(694\) −2.53919e44 −0.0876886
\(695\) 2.86464e45 1.65390e45i 0.966748 0.558152i
\(696\) 1.76729e43 3.51788e42i 0.00582854 0.00116020i
\(697\) −3.35435e45 + 5.80991e45i −1.08115 + 1.87260i
\(698\) 4.70275e45 2.71513e45i 1.48137 0.855272i
\(699\) −1.89959e45 + 1.66635e45i −0.584822 + 0.513018i
\(700\) 1.91818e45 + 8.16378e44i 0.577192 + 0.245653i
\(701\) 2.10605e45i 0.619412i 0.950832 + 0.309706i \(0.100231\pi\)
−0.950832 + 0.309706i \(0.899769\pi\)
\(702\) 1.61341e45 3.27507e45i 0.463820 0.941513i
\(703\) −1.94620e44 + 3.37092e44i −0.0546893 + 0.0947247i
\(704\) −4.43345e45 2.55965e45i −1.21781 0.703102i
\(705\) −7.07881e44 + 2.08629e45i −0.190079 + 0.560208i
\(706\) 7.74782e45 2.03378
\(707\) 6.68494e45 8.14336e44i 1.71548 0.208974i
\(708\) 4.60947e45 4.04352e45i 1.15643 1.01444i
\(709\) 8.57926e44 + 1.48597e45i 0.210431 + 0.364477i 0.951850 0.306566i \(-0.0991799\pi\)
−0.741418 + 0.671043i \(0.765847\pi\)
\(710\) −4.54942e45 2.62661e45i −1.09099 0.629886i
\(711\) 2.24437e45 + 1.72118e45i 0.526235 + 0.403565i
\(712\) 2.45385e43 + 4.25019e43i 0.00562559 + 0.00974380i
\(713\) 2.29006e44i 0.0513351i
\(714\) 6.61350e45 7.39764e45i 1.44964 1.62152i
\(715\) 6.07753e45 1.30266
\(716\) 5.13761e45 2.96620e45i 1.07684 0.621717i
\(717\) 1.67187e45 + 8.39903e45i 0.342686 + 1.72156i
\(718\) 5.33765e45 9.24509e45i 1.06994 1.85319i
\(719\) 9.04911e44 5.22451e44i 0.177396 0.102420i −0.408673 0.912681i \(-0.634008\pi\)
0.586069 + 0.810261i \(0.300675\pi\)
\(720\) 6.52565e45 + 8.57293e44i 1.25113 + 0.164365i
\(721\) −5.30001e45 2.25569e45i −0.993831 0.422976i
\(722\) 7.19089e45i 1.31883i
\(723\) −1.93103e45 + 5.69119e45i −0.346398 + 1.02092i
\(724\) −6.38613e44 + 1.10611e45i −0.112052 + 0.194080i
\(725\) −1.46030e45 8.43104e44i −0.250630 0.144702i
\(726\) −7.26224e45 2.46409e45i −1.21923 0.413685i
\(727\) −8.31087e45 −1.36488 −0.682442 0.730940i \(-0.739082\pi\)
−0.682442 + 0.730940i \(0.739082\pi\)
\(728\) 3.53673e43 + 4.70272e43i 0.00568198 + 0.00755522i
\(729\) 2.43005e45 5.88036e45i 0.381922 0.924195i
\(730\) 4.93484e44 + 8.54739e44i 0.0758765 + 0.131422i
\(731\) −1.04984e46 6.06128e45i −1.57924 0.911772i
\(732\) 2.92187e45 5.81613e44i 0.430014 0.0855966i
\(733\) −1.67705e45 2.90473e45i −0.241481 0.418257i 0.719656 0.694331i \(-0.244300\pi\)
−0.961136 + 0.276074i \(0.910966\pi\)
\(734\) 1.51716e46i 2.13744i
\(735\) −3.92588e45 8.36239e45i −0.541177 1.15274i
\(736\) 2.32748e45 0.313935
\(737\) −6.29099e45 + 3.63211e45i −0.830308 + 0.479379i
\(738\) −1.22713e46 9.41072e45i −1.58485 1.21540i
\(739\) −3.19116e45 + 5.52724e45i −0.403308 + 0.698550i −0.994123 0.108257i \(-0.965473\pi\)
0.590815 + 0.806807i \(0.298806\pi\)