Properties

Label 4.37.b.b.3.12
Level 4
Weight 37
Character 4.3
Analytic conductor 32.837
Analytic rank 0
Dimension 16
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 4 = 2^{2} \)
Weight: \( k \) \(=\) \( 37 \)
Character orbit: \([\chi]\) \(=\) 4.b (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(32.8365034637\)
Analytic rank: \(0\)
Dimension: \(16\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 6516989503065492 x^{14} + \)\(17\!\cdots\!98\)\( x^{12} + \)\(23\!\cdots\!44\)\( x^{10} + \)\(17\!\cdots\!45\)\( x^{8} + \)\(72\!\cdots\!20\)\( x^{6} + \)\(15\!\cdots\!00\)\( x^{4} + \)\(15\!\cdots\!00\)\( x^{2} + \)\(51\!\cdots\!00\)\(\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: multiple of \( 2^{240}\cdot 3^{24}\cdot 5^{6}\cdot 7^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 3.12
Root \(-2.95956e7i\) of defining polynomial
Character \(\chi\) \(=\) 4.3
Dual form 4.37.b.b.3.11

$q$-expansion

\(f(q)\) \(=\) \(q+(178949. + 191564. i) q^{2} -4.73530e8i q^{3} +(-4.67423e9 + 6.85603e10i) q^{4} +4.97998e11 q^{5} +(9.07113e13 - 8.47375e13i) q^{6} -9.39063e14i q^{7} +(-1.39702e16 + 1.13734e16i) q^{8} -7.41357e16 q^{9} +O(q^{10})\) \(q+(178949. + 191564. i) q^{2} -4.73530e8i q^{3} +(-4.67423e9 + 6.85603e10i) q^{4} +4.97998e11 q^{5} +(9.07113e13 - 8.47375e13i) q^{6} -9.39063e14i q^{7} +(-1.39702e16 + 1.13734e16i) q^{8} -7.41357e16 q^{9} +(8.91161e16 + 9.53986e16i) q^{10} -1.64809e18i q^{11} +(3.24653e19 + 2.21338e18i) q^{12} +1.14530e20 q^{13} +(1.79891e20 - 1.68044e20i) q^{14} -2.35817e20i q^{15} +(-4.67867e21 - 6.40933e20i) q^{16} -2.29593e22 q^{17} +(-1.32665e22 - 1.42017e22i) q^{18} -1.20463e23i q^{19} +(-2.32776e21 + 3.41429e22i) q^{20} -4.44674e23 q^{21} +(3.15714e23 - 2.94923e23i) q^{22} -2.81335e24i q^{23} +(5.38563e24 + 6.61528e24i) q^{24} -1.43039e25 q^{25} +(2.04950e25 + 2.19398e25i) q^{26} -3.59688e25i q^{27} +(6.43825e25 + 4.38939e24i) q^{28} -1.31366e25 q^{29} +(4.51741e25 - 4.21991e25i) q^{30} -7.15362e26i q^{31} +(-7.14462e26 - 1.01096e27i) q^{32} -7.80418e26 q^{33} +(-4.10853e27 - 4.39817e27i) q^{34} -4.67651e26i q^{35} +(3.46527e26 - 5.08277e27i) q^{36} +2.59863e28 q^{37} +(2.30764e28 - 2.15567e28i) q^{38} -5.42333e28i q^{39} +(-6.95711e27 + 5.66391e27i) q^{40} -1.71112e29 q^{41} +(-7.95738e28 - 8.51837e28i) q^{42} -4.11718e29i q^{43} +(1.12993e29 + 7.70353e27i) q^{44} -3.69194e28 q^{45} +(5.38937e29 - 5.03445e29i) q^{46} +8.93346e29i q^{47} +(-3.03501e29 + 2.21549e30i) q^{48} +1.76989e30 q^{49} +(-2.55967e30 - 2.74012e30i) q^{50} +1.08719e31i q^{51} +(-5.35338e29 + 7.85220e30i) q^{52} +3.45056e30 q^{53} +(6.89034e30 - 6.43657e30i) q^{54} -8.20743e29i q^{55} +(1.06803e31 + 1.31189e31i) q^{56} -5.70428e31 q^{57} +(-2.35078e30 - 2.51651e30i) q^{58} -2.87222e31i q^{59} +(1.61677e31 + 1.10226e30i) q^{60} -1.57408e31 q^{61} +(1.37038e32 - 1.28013e32i) q^{62} +6.96181e31i q^{63} +(6.58117e31 - 3.17775e32i) q^{64} +5.70356e31 q^{65} +(-1.39655e32 - 1.49500e32i) q^{66} +2.63364e32i q^{67} +(1.07317e32 - 1.57409e33i) q^{68} -1.33220e33 q^{69} +(8.95853e31 - 8.36856e31i) q^{70} +2.24092e33i q^{71} +(1.03569e33 - 8.43172e32i) q^{72} -4.63793e33 q^{73} +(4.65022e33 + 4.97805e33i) q^{74} +6.77333e33i q^{75} +(8.25898e33 + 5.63071e32i) q^{76} -1.54766e33 q^{77} +(1.03892e34 - 9.70497e33i) q^{78} +2.60170e34i q^{79} +(-2.32997e33 - 3.19183e32i) q^{80} -2.81597e34 q^{81} +(-3.06203e34 - 3.27790e34i) q^{82} -9.58149e32i q^{83} +(2.07851e33 - 3.04870e34i) q^{84} -1.14337e34 q^{85} +(7.88705e34 - 7.36765e34i) q^{86} +6.22058e33i q^{87} +(1.87443e34 + 2.30240e34i) q^{88} +3.91670e34 q^{89} +(-6.60668e33 - 7.07244e33i) q^{90} -1.07551e35i q^{91} +(1.92884e35 + 1.31502e34i) q^{92} -3.38745e35 q^{93} +(-1.71133e35 + 1.59863e35i) q^{94} -5.99903e34i q^{95} +(-4.78719e35 + 3.38319e35i) q^{96} +5.91294e35 q^{97} +(3.16720e35 + 3.39048e35i) q^{98} +1.22182e35i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 177228q^{2} - 5610707696q^{4} + 5816089539360q^{5} - 217628996575488q^{6} + 11897560228206528q^{8} - 935184460817545968q^{9} + O(q^{10}) \) \( 16q + 177228q^{2} - 5610707696q^{4} + 5816089539360q^{5} - 217628996575488q^{6} + 11897560228206528q^{8} - 935184460817545968q^{9} - 2378142919315561000q^{10} - 42882825786868930560q^{12} + \)\(19\!\cdots\!76\)\(q^{13} + \)\(36\!\cdots\!28\)\(q^{14} - \)\(22\!\cdots\!84\)\(q^{16} + \)\(41\!\cdots\!76\)\(q^{17} + \)\(13\!\cdots\!68\)\(q^{18} + \)\(10\!\cdots\!40\)\(q^{20} - \)\(17\!\cdots\!96\)\(q^{21} - \)\(43\!\cdots\!40\)\(q^{22} + \)\(51\!\cdots\!68\)\(q^{24} + \)\(61\!\cdots\!00\)\(q^{25} - \)\(70\!\cdots\!40\)\(q^{26} - \)\(30\!\cdots\!00\)\(q^{28} - \)\(95\!\cdots\!52\)\(q^{29} + \)\(36\!\cdots\!20\)\(q^{30} + \)\(46\!\cdots\!48\)\(q^{32} - \)\(87\!\cdots\!60\)\(q^{33} - \)\(90\!\cdots\!20\)\(q^{34} - \)\(92\!\cdots\!92\)\(q^{36} - \)\(30\!\cdots\!84\)\(q^{37} + \)\(78\!\cdots\!80\)\(q^{38} - \)\(13\!\cdots\!00\)\(q^{40} + \)\(99\!\cdots\!12\)\(q^{41} - \)\(19\!\cdots\!00\)\(q^{42} + \)\(30\!\cdots\!60\)\(q^{44} + \)\(15\!\cdots\!20\)\(q^{45} - \)\(91\!\cdots\!28\)\(q^{46} - \)\(15\!\cdots\!20\)\(q^{48} - \)\(11\!\cdots\!48\)\(q^{49} + \)\(11\!\cdots\!00\)\(q^{50} + \)\(16\!\cdots\!56\)\(q^{52} + \)\(20\!\cdots\!56\)\(q^{53} - \)\(42\!\cdots\!84\)\(q^{54} - \)\(18\!\cdots\!68\)\(q^{56} - \)\(17\!\cdots\!80\)\(q^{57} + \)\(33\!\cdots\!56\)\(q^{58} - \)\(69\!\cdots\!00\)\(q^{60} + \)\(21\!\cdots\!32\)\(q^{61} + \)\(40\!\cdots\!80\)\(q^{62} - \)\(26\!\cdots\!96\)\(q^{64} - \)\(20\!\cdots\!00\)\(q^{65} - \)\(81\!\cdots\!60\)\(q^{66} + \)\(35\!\cdots\!56\)\(q^{68} + \)\(39\!\cdots\!56\)\(q^{69} + \)\(31\!\cdots\!80\)\(q^{70} - \)\(18\!\cdots\!32\)\(q^{72} - \)\(13\!\cdots\!64\)\(q^{73} + \)\(76\!\cdots\!40\)\(q^{74} - \)\(15\!\cdots\!60\)\(q^{76} + \)\(22\!\cdots\!00\)\(q^{77} - \)\(18\!\cdots\!60\)\(q^{78} + \)\(67\!\cdots\!60\)\(q^{80} - \)\(40\!\cdots\!00\)\(q^{81} + \)\(43\!\cdots\!36\)\(q^{82} - \)\(37\!\cdots\!64\)\(q^{84} - \)\(20\!\cdots\!00\)\(q^{85} + \)\(10\!\cdots\!32\)\(q^{86} + \)\(39\!\cdots\!80\)\(q^{88} + \)\(46\!\cdots\!88\)\(q^{89} - \)\(36\!\cdots\!00\)\(q^{90} - \)\(17\!\cdots\!80\)\(q^{92} - \)\(23\!\cdots\!80\)\(q^{93} - \)\(69\!\cdots\!32\)\(q^{94} + \)\(10\!\cdots\!72\)\(q^{96} + \)\(45\!\cdots\!96\)\(q^{97} + \)\(10\!\cdots\!28\)\(q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/4\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 178949. + 191564.i 0.682635 + 0.730760i
\(3\) 4.73530e8i 1.22226i −0.791529 0.611131i \(-0.790715\pi\)
0.791529 0.611131i \(-0.209285\pi\)
\(4\) −4.67423e9 + 6.85603e10i −0.0680190 + 0.997684i
\(5\) 4.97998e11 0.130547 0.0652736 0.997867i \(-0.479208\pi\)
0.0652736 + 0.997867i \(0.479208\pi\)
\(6\) 9.07113e13 8.47375e13i 0.893180 0.834359i
\(7\) 9.39063e14i 0.576673i −0.957529 0.288337i \(-0.906898\pi\)
0.957529 0.288337i \(-0.0931022\pi\)
\(8\) −1.39702e16 + 1.13734e16i −0.775499 + 0.631349i
\(9\) −7.41357e16 −0.493926
\(10\) 8.91161e16 + 9.53986e16i 0.0891161 + 0.0953986i
\(11\) 1.64809e18i 0.296423i −0.988956 0.148211i \(-0.952648\pi\)
0.988956 0.148211i \(-0.0473516\pi\)
\(12\) 3.24653e19 + 2.21338e18i 1.21943 + 0.0831370i
\(13\) 1.14530e20 1.01845 0.509223 0.860634i \(-0.329933\pi\)
0.509223 + 0.860634i \(0.329933\pi\)
\(14\) 1.79891e20 1.68044e20i 0.421410 0.393657i
\(15\) 2.35817e20i 0.159563i
\(16\) −4.67867e21 6.40933e20i −0.990747 0.135723i
\(17\) −2.29593e22 −1.63259 −0.816295 0.577635i \(-0.803976\pi\)
−0.816295 + 0.577635i \(0.803976\pi\)
\(18\) −1.32665e22 1.42017e22i −0.337171 0.360941i
\(19\) 1.20463e23i 1.15688i −0.815725 0.578440i \(-0.803662\pi\)
0.815725 0.578440i \(-0.196338\pi\)
\(20\) −2.32776e21 + 3.41429e22i −0.00887968 + 0.130245i
\(21\) −4.44674e23 −0.704847
\(22\) 3.15714e23 2.94923e23i 0.216614 0.202349i
\(23\) 2.81335e24i 0.867206i −0.901104 0.433603i \(-0.857242\pi\)
0.901104 0.433603i \(-0.142758\pi\)
\(24\) 5.38563e24 + 6.61528e24i 0.771674 + 0.947864i
\(25\) −1.43039e25 −0.982957
\(26\) 2.04950e25 + 2.19398e25i 0.695227 + 0.744240i
\(27\) 3.59688e25i 0.618555i
\(28\) 6.43825e25 + 4.38939e24i 0.575338 + 0.0392247i
\(29\) −1.31366e25 −0.0624194 −0.0312097 0.999513i \(-0.509936\pi\)
−0.0312097 + 0.999513i \(0.509936\pi\)
\(30\) 4.51741e25 4.21991e25i 0.116602 0.108923i
\(31\) 7.15362e26i 1.02333i −0.859185 0.511664i \(-0.829029\pi\)
0.859185 0.511664i \(-0.170971\pi\)
\(32\) −7.14462e26 1.01096e27i −0.577138 0.816647i
\(33\) −7.80418e26 −0.362306
\(34\) −4.10853e27 4.39817e27i −1.11446 1.19303i
\(35\) 4.67651e26i 0.0752831i
\(36\) 3.46527e26 5.08277e27i 0.0335964 0.492782i
\(37\) 2.59863e28 1.53856 0.769279 0.638913i \(-0.220616\pi\)
0.769279 + 0.638913i \(0.220616\pi\)
\(38\) 2.30764e28 2.15567e28i 0.845402 0.789727i
\(39\) 5.42333e28i 1.24481i
\(40\) −6.95711e27 + 5.66391e27i −0.101239 + 0.0824208i
\(41\) −1.71112e29 −1.59651 −0.798256 0.602318i \(-0.794244\pi\)
−0.798256 + 0.602318i \(0.794244\pi\)
\(42\) −7.95738e28 8.51837e28i −0.481153 0.515073i
\(43\) 4.11718e29i 1.62993i −0.579513 0.814963i \(-0.696757\pi\)
0.579513 0.814963i \(-0.303243\pi\)
\(44\) 1.12993e29 + 7.70353e27i 0.295736 + 0.0201624i
\(45\) −3.69194e28 −0.0644807
\(46\) 5.38937e29 5.03445e29i 0.633719 0.591985i
\(47\) 8.93346e29i 0.713277i 0.934242 + 0.356639i \(0.116077\pi\)
−0.934242 + 0.356639i \(0.883923\pi\)
\(48\) −3.03501e29 + 2.21549e30i −0.165889 + 1.21095i
\(49\) 1.76989e30 0.667448
\(50\) −2.55967e30 2.74012e30i −0.671001 0.718306i
\(51\) 1.08719e31i 1.99546i
\(52\) −5.35338e29 + 7.85220e30i −0.0692737 + 1.01609i
\(53\) 3.45056e30 0.316902 0.158451 0.987367i \(-0.449350\pi\)
0.158451 + 0.987367i \(0.449350\pi\)
\(54\) 6.89034e30 6.43657e30i 0.452015 0.422247i
\(55\) 8.20743e29i 0.0386972i
\(56\) 1.06803e31 + 1.31189e31i 0.364082 + 0.447210i
\(57\) −5.70428e31 −1.41401
\(58\) −2.35078e30 2.51651e30i −0.0426097 0.0456136i
\(59\) 2.87222e31i 0.382720i −0.981520 0.191360i \(-0.938710\pi\)
0.981520 0.191360i \(-0.0612899\pi\)
\(60\) 1.61677e31 + 1.10226e30i 0.159193 + 0.0108533i
\(61\) −1.57408e31 −0.115104 −0.0575519 0.998343i \(-0.518329\pi\)
−0.0575519 + 0.998343i \(0.518329\pi\)
\(62\) 1.37038e32 1.28013e32i 0.747807 0.698560i
\(63\) 6.96181e31i 0.284834i
\(64\) 6.58117e31 3.17775e32i 0.202798 0.979221i
\(65\) 5.70356e31 0.132955
\(66\) −1.39655e32 1.49500e32i −0.247323 0.264759i
\(67\) 2.63364e32i 0.355804i 0.984048 + 0.177902i \(0.0569310\pi\)
−0.984048 + 0.177902i \(0.943069\pi\)
\(68\) 1.07317e32 1.57409e33i 0.111047 1.62881i
\(69\) −1.33220e33 −1.05995
\(70\) 8.95853e31 8.36856e31i 0.0550138 0.0513909i
\(71\) 2.24092e33i 1.06604i 0.846101 + 0.533022i \(0.178944\pi\)
−0.846101 + 0.533022i \(0.821056\pi\)
\(72\) 1.03569e33 8.43172e32i 0.383040 0.311840i
\(73\) −4.63793e33 −1.33817 −0.669087 0.743184i \(-0.733315\pi\)
−0.669087 + 0.743184i \(0.733315\pi\)
\(74\) 4.65022e33 + 4.97805e33i 1.05027 + 1.12432i
\(75\) 6.77333e33i 1.20143i
\(76\) 8.25898e33 + 5.63071e32i 1.15420 + 0.0786898i
\(77\) −1.54766e33 −0.170939
\(78\) 1.03892e34 9.70497e33i 0.909656 0.849751i
\(79\) 2.60170e34i 1.81121i 0.424119 + 0.905607i \(0.360584\pi\)
−0.424119 + 0.905607i \(0.639416\pi\)
\(80\) −2.32997e33 3.19183e32i −0.129339 0.0177182i
\(81\) −2.81597e34 −1.24996
\(82\) −3.06203e34 3.27790e34i −1.08984 1.16667i
\(83\) 9.58149e32i 0.0274175i −0.999906 0.0137087i \(-0.995636\pi\)
0.999906 0.0137087i \(-0.00436376\pi\)
\(84\) 2.07851e33 3.04870e34i 0.0479429 0.703214i
\(85\) −1.14337e34 −0.213130
\(86\) 7.88705e34 7.36765e34i 1.19108 1.11264i
\(87\) 6.22058e33i 0.0762930i
\(88\) 1.87443e34 + 2.30240e34i 0.187146 + 0.229876i
\(89\) 3.91670e34 0.319080 0.159540 0.987191i \(-0.448999\pi\)
0.159540 + 0.987191i \(0.448999\pi\)
\(90\) −6.60668e33 7.07244e33i −0.0440168 0.0471199i
\(91\) 1.07551e35i 0.587311i
\(92\) 1.92884e35 + 1.31502e34i 0.865198 + 0.0589864i
\(93\) −3.38745e35 −1.25078
\(94\) −1.71133e35 + 1.59863e35i −0.521234 + 0.486908i
\(95\) 5.99903e34i 0.151027i
\(96\) −4.78719e35 + 3.38319e35i −0.998157 + 0.705414i
\(97\) 5.91294e35 1.02309 0.511543 0.859258i \(-0.329074\pi\)
0.511543 + 0.859258i \(0.329074\pi\)
\(98\) 3.16720e35 + 3.39048e35i 0.455623 + 0.487744i
\(99\) 1.22182e35i 0.146411i
\(100\) 6.68597e34 9.80681e35i 0.0668597 0.980681i
\(101\) 1.79261e36 1.49865 0.749325 0.662202i \(-0.230378\pi\)
0.749325 + 0.662202i \(0.230378\pi\)
\(102\) −2.08267e36 + 1.94551e36i −1.45820 + 1.36217i
\(103\) 5.54915e35i 0.325954i 0.986630 + 0.162977i \(0.0521096\pi\)
−0.986630 + 0.162977i \(0.947890\pi\)
\(104\) −1.60000e36 + 1.30259e36i −0.789805 + 0.642995i
\(105\) −2.21447e35 −0.0920157
\(106\) 6.17474e35 + 6.61005e35i 0.216328 + 0.231579i
\(107\) 4.04653e36i 1.19722i −0.801040 0.598611i \(-0.795720\pi\)
0.801040 0.598611i \(-0.204280\pi\)
\(108\) 2.46603e36 + 1.68126e35i 0.617122 + 0.0420735i
\(109\) 3.91818e36 0.830631 0.415315 0.909678i \(-0.363671\pi\)
0.415315 + 0.909678i \(0.363671\pi\)
\(110\) 1.57225e35 1.46871e35i 0.0282783 0.0264160i
\(111\) 1.23053e37i 1.88052i
\(112\) −6.01876e35 + 4.39357e36i −0.0782678 + 0.571337i
\(113\) −4.45970e36 −0.494189 −0.247095 0.968991i \(-0.579476\pi\)
−0.247095 + 0.968991i \(0.579476\pi\)
\(114\) −1.02077e37 1.09274e37i −0.965254 1.03330i
\(115\) 1.40104e36i 0.113211i
\(116\) 6.14036e34 9.00651e35i 0.00424570 0.0622749i
\(117\) −8.49075e36 −0.503038
\(118\) 5.50215e36 5.13980e36i 0.279677 0.261258i
\(119\) 2.15602e37i 0.941472i
\(120\) 2.68203e36 + 3.29440e36i 0.100740 + 0.123741i
\(121\) 2.81965e37 0.912134
\(122\) −2.81679e36 3.01537e36i −0.0785739 0.0841132i
\(123\) 8.10268e37i 1.95136i
\(124\) 4.90454e37 + 3.34376e36i 1.02096 + 0.0696057i
\(125\) −1.43701e37 −0.258869
\(126\) −1.33363e37 + 1.24581e37i −0.208145 + 0.194438i
\(127\) 2.51694e37i 0.340726i 0.985381 + 0.170363i \(0.0544940\pi\)
−0.985381 + 0.170363i \(0.945506\pi\)
\(128\) 7.26513e37 4.42583e37i 0.854012 0.520254i
\(129\) −1.94961e38 −1.99220
\(130\) 1.02064e37 + 1.09260e37i 0.0907600 + 0.0971584i
\(131\) 4.39588e37i 0.340535i −0.985398 0.170268i \(-0.945537\pi\)
0.985398 0.170268i \(-0.0544632\pi\)
\(132\) 3.64785e36 5.35057e37i 0.0246437 0.361467i
\(133\) −1.13122e38 −0.667142
\(134\) −5.04512e37 + 4.71287e37i −0.260007 + 0.242884i
\(135\) 1.79124e37i 0.0807506i
\(136\) 3.20744e38 2.61124e38i 1.26607 1.03073i
\(137\) 2.45741e38 0.850173 0.425086 0.905153i \(-0.360244\pi\)
0.425086 + 0.905153i \(0.360244\pi\)
\(138\) −2.38396e38 2.55203e38i −0.723562 0.774571i
\(139\) 7.52934e37i 0.200674i 0.994954 + 0.100337i \(0.0319920\pi\)
−0.994954 + 0.100337i \(0.968008\pi\)
\(140\) 3.20623e37 + 2.18591e36i 0.0751087 + 0.00512068i
\(141\) 4.23026e38 0.871812
\(142\) −4.29279e38 + 4.01009e38i −0.779022 + 0.727719i
\(143\) 1.88755e38i 0.301891i
\(144\) 3.46856e38 + 4.75160e37i 0.489356 + 0.0670371i
\(145\) −6.54201e36 −0.00814868
\(146\) −8.29951e38 8.88461e38i −0.913484 0.977883i
\(147\) 8.38096e38i 0.815797i
\(148\) −1.21466e38 + 1.78163e39i −0.104651 + 1.53499i
\(149\) −5.62189e38 −0.429071 −0.214536 0.976716i \(-0.568824\pi\)
−0.214536 + 0.976716i \(0.568824\pi\)
\(150\) −1.29753e39 + 1.21208e39i −0.877958 + 0.820140i
\(151\) 1.13127e38i 0.0679175i −0.999423 0.0339587i \(-0.989189\pi\)
0.999423 0.0339587i \(-0.0108115\pi\)
\(152\) 1.37007e39 + 1.68289e39i 0.730395 + 0.897160i
\(153\) 1.70210e39 0.806380
\(154\) −2.76951e38 2.96476e38i −0.116689 0.124915i
\(155\) 3.56249e38i 0.133593i
\(156\) 3.71825e39 + 2.53499e38i 1.24193 + 0.0846706i
\(157\) 3.45361e39 1.02820 0.514102 0.857729i \(-0.328125\pi\)
0.514102 + 0.857729i \(0.328125\pi\)
\(158\) −4.98393e39 + 4.65571e39i −1.32356 + 1.23640i
\(159\) 1.63394e39i 0.387337i
\(160\) −3.55801e38 5.03456e38i −0.0753437 0.106611i
\(161\) −2.64191e39 −0.500095
\(162\) −5.03914e39 5.39439e39i −0.853269 0.913422i
\(163\) 5.94810e39i 0.901574i 0.892632 + 0.450787i \(0.148857\pi\)
−0.892632 + 0.450787i \(0.851143\pi\)
\(164\) 7.99818e38 1.17315e40i 0.108593 1.59281i
\(165\) −3.88646e38 −0.0472981
\(166\) 1.83547e38 1.71459e38i 0.0200356 0.0187161i
\(167\) 1.39112e40i 1.36291i −0.731861 0.681454i \(-0.761348\pi\)
0.731861 0.681454i \(-0.238652\pi\)
\(168\) 6.21217e39 5.05744e39i 0.546608 0.445004i
\(169\) 4.70867e38 0.0372338
\(170\) −2.04604e39 2.19028e39i −0.145490 0.155747i
\(171\) 8.93060e39i 0.571414i
\(172\) 2.82275e40 + 1.92446e39i 1.62615 + 0.110866i
\(173\) −3.29833e40 −1.71185 −0.855923 0.517104i \(-0.827010\pi\)
−0.855923 + 0.517104i \(0.827010\pi\)
\(174\) −1.19164e39 + 1.11316e39i −0.0557518 + 0.0520802i
\(175\) 1.34323e40i 0.566845i
\(176\) −1.05631e39 + 7.71085e39i −0.0402313 + 0.293680i
\(177\) −1.36008e40 −0.467785
\(178\) 7.00888e39 + 7.50299e39i 0.217815 + 0.233171i
\(179\) 5.49966e40i 1.54519i 0.634900 + 0.772594i \(0.281041\pi\)
−0.634900 + 0.772594i \(0.718959\pi\)
\(180\) 1.72570e38 2.53121e39i 0.00438591 0.0643314i
\(181\) 3.46531e40 0.797128 0.398564 0.917141i \(-0.369509\pi\)
0.398564 + 0.917141i \(0.369509\pi\)
\(182\) 2.06029e40 1.92461e40i 0.429183 0.400919i
\(183\) 7.45373e39i 0.140687i
\(184\) 3.19972e40 + 3.93029e40i 0.547509 + 0.672518i
\(185\) 1.29411e40 0.200854
\(186\) −6.06180e40 6.48914e40i −0.853824 0.914017i
\(187\) 3.78388e40i 0.483937i
\(188\) −6.12481e40 4.17570e39i −0.711625 0.0485164i
\(189\) −3.37770e40 −0.356704
\(190\) 1.14920e40 1.07352e40i 0.110365 0.103097i
\(191\) 1.96526e41i 1.71719i −0.512654 0.858595i \(-0.671338\pi\)
0.512654 0.858595i \(-0.328662\pi\)
\(192\) −1.50476e41 3.11638e40i −1.19686 0.247873i
\(193\) 2.74837e40 0.199087 0.0995437 0.995033i \(-0.468262\pi\)
0.0995437 + 0.995033i \(0.468262\pi\)
\(194\) 1.05811e41 + 1.13271e41i 0.698395 + 0.747630i
\(195\) 2.70081e40i 0.162506i
\(196\) −8.27288e39 + 1.21344e41i −0.0453991 + 0.665902i
\(197\) 1.69096e41 0.846725 0.423363 0.905960i \(-0.360850\pi\)
0.423363 + 0.905960i \(0.360850\pi\)
\(198\) −2.34057e40 + 2.18643e40i −0.106991 + 0.0999453i
\(199\) 4.25960e41i 1.77834i −0.457581 0.889168i \(-0.651284\pi\)
0.457581 0.889168i \(-0.348716\pi\)
\(200\) 1.99828e41 1.62684e41i 0.762283 0.620589i
\(201\) 1.24711e41 0.434886
\(202\) 3.20785e41 + 3.43399e41i 1.02303 + 1.09515i
\(203\) 1.23361e40i 0.0359956i
\(204\) −7.45380e41 5.08177e40i −1.99083 0.135729i
\(205\) −8.52137e40 −0.208420
\(206\) −1.06302e41 + 9.93012e40i −0.238194 + 0.222508i
\(207\) 2.08569e41i 0.428336i
\(208\) −5.35847e41 7.34060e40i −1.00902 0.138226i
\(209\) −1.98533e41 −0.342926
\(210\) −3.96276e40 4.24213e40i −0.0628132 0.0672414i
\(211\) 8.66535e41i 1.26096i 0.776205 + 0.630481i \(0.217142\pi\)
−0.776205 + 0.630481i \(0.782858\pi\)
\(212\) −1.61287e40 + 2.36572e41i −0.0215553 + 0.316168i
\(213\) 1.06114e42 1.30299
\(214\) 7.75170e41 7.24120e41i 0.874881 0.817265i
\(215\) 2.05035e41i 0.212782i
\(216\) 4.09086e41 + 5.02490e41i 0.390524 + 0.479689i
\(217\) −6.71770e41 −0.590127
\(218\) 7.01154e41 + 7.50584e41i 0.567017 + 0.606991i
\(219\) 2.19620e42i 1.63560i
\(220\) 5.62704e40 + 3.83634e39i 0.0386075 + 0.00263214i
\(221\) −2.62952e42 −1.66271
\(222\) 2.35725e42 2.20202e42i 1.37421 1.28371i
\(223\) 3.01760e42i 1.62246i −0.584725 0.811231i \(-0.698798\pi\)
0.584725 0.811231i \(-0.301202\pi\)
\(224\) −9.49355e41 + 6.70925e41i −0.470939 + 0.332820i
\(225\) 1.06043e42 0.485509
\(226\) −7.98057e41 8.54318e41i −0.337351 0.361133i
\(227\) 2.89079e41i 0.112863i 0.998406 + 0.0564315i \(0.0179723\pi\)
−0.998406 + 0.0564315i \(0.982028\pi\)
\(228\) 2.66631e41 3.91087e42i 0.0961796 1.41074i
\(229\) −4.60426e42 −1.53505 −0.767523 0.641021i \(-0.778511\pi\)
−0.767523 + 0.641021i \(0.778511\pi\)
\(230\) 2.68389e41 2.50714e41i 0.0827302 0.0772820i
\(231\) 7.32861e41i 0.208933i
\(232\) 1.83521e41 1.49408e41i 0.0484062 0.0394084i
\(233\) 2.20539e41 0.0538368 0.0269184 0.999638i \(-0.491431\pi\)
0.0269184 + 0.999638i \(0.491431\pi\)
\(234\) −1.51941e42 1.62652e42i −0.343391 0.367600i
\(235\) 4.44885e41i 0.0931163i
\(236\) 1.96920e42 + 1.34254e41i 0.381834 + 0.0260322i
\(237\) 1.23198e43 2.21378
\(238\) −4.13016e42 + 3.85817e42i −0.687990 + 0.642682i
\(239\) 2.95916e42i 0.457094i 0.973533 + 0.228547i \(0.0733975\pi\)
−0.973533 + 0.228547i \(0.926603\pi\)
\(240\) −1.51143e41 + 1.10331e42i −0.0216563 + 0.158086i
\(241\) −3.45312e42 −0.459097 −0.229549 0.973297i \(-0.573725\pi\)
−0.229549 + 0.973297i \(0.573725\pi\)
\(242\) 5.04572e42 + 5.40144e42i 0.622654 + 0.666550i
\(243\) 7.93571e42i 0.909228i
\(244\) 7.35760e40 1.07919e42i 0.00782924 0.114837i
\(245\) 8.81402e41 0.0871334
\(246\) −1.55218e43 + 1.44996e43i −1.42597 + 1.33206i
\(247\) 1.37966e43i 1.17822i
\(248\) 8.13607e42 + 9.99371e42i 0.646077 + 0.793591i
\(249\) −4.53712e41 −0.0335113
\(250\) −2.57152e42 2.75281e42i −0.176713 0.189171i
\(251\) 2.44151e43i 1.56146i −0.624867 0.780731i \(-0.714847\pi\)
0.624867 0.780731i \(-0.285153\pi\)
\(252\) −4.77304e42 3.25411e41i −0.284175 0.0193741i
\(253\) −4.63664e42 −0.257060
\(254\) −4.82155e42 + 4.50402e42i −0.248989 + 0.232591i
\(255\) 5.41418e42i 0.260501i
\(256\) 2.14792e43 + 5.99743e42i 0.963159 + 0.268934i
\(257\) 2.82654e43 1.18157 0.590785 0.806829i \(-0.298818\pi\)
0.590785 + 0.806829i \(0.298818\pi\)
\(258\) −3.48880e43 3.73475e43i −1.35994 1.45582i
\(259\) 2.44028e43i 0.887246i
\(260\) −2.66597e41 + 3.91038e42i −0.00904348 + 0.132647i
\(261\) 9.73893e41 0.0308306
\(262\) 8.42093e42 7.86636e42i 0.248849 0.232461i
\(263\) 4.72307e43i 1.30323i 0.758551 + 0.651614i \(0.225908\pi\)
−0.758551 + 0.651614i \(0.774092\pi\)
\(264\) 1.09026e43 8.87597e42i 0.280968 0.228742i
\(265\) 1.71837e42 0.0413706
\(266\) −2.02431e43 2.16702e43i −0.455415 0.487521i
\(267\) 1.85467e43i 0.390000i
\(268\) −1.80563e43 1.23102e42i −0.354980 0.0242014i
\(269\) −3.43092e43 −0.630769 −0.315384 0.948964i \(-0.602133\pi\)
−0.315384 + 0.948964i \(0.602133\pi\)
\(270\) 3.43137e42 3.20540e42i 0.0590093 0.0551232i
\(271\) 3.96971e43i 0.638722i 0.947633 + 0.319361i \(0.103468\pi\)
−0.947633 + 0.319361i \(0.896532\pi\)
\(272\) 1.07419e44 + 1.47154e43i 1.61748 + 0.221580i
\(273\) −5.09285e43 −0.717849
\(274\) 4.39750e43 + 4.70752e43i 0.580358 + 0.621272i
\(275\) 2.35741e43i 0.291371i
\(276\) 6.22702e42 9.13363e43i 0.0720969 1.05750i
\(277\) 8.05966e42 0.0874341 0.0437170 0.999044i \(-0.486080\pi\)
0.0437170 + 0.999044i \(0.486080\pi\)
\(278\) −1.44235e43 + 1.34737e43i −0.146644 + 0.136987i
\(279\) 5.30338e43i 0.505449i
\(280\) 5.31877e42 + 6.53316e42i 0.0475299 + 0.0583820i
\(281\) −1.90752e44 −1.59866 −0.799329 0.600894i \(-0.794812\pi\)
−0.799329 + 0.600894i \(0.794812\pi\)
\(282\) 7.56999e43 + 8.10366e43i 0.595130 + 0.637085i
\(283\) 7.67667e43i 0.566261i 0.959081 + 0.283131i \(0.0913730\pi\)
−0.959081 + 0.283131i \(0.908627\pi\)
\(284\) −1.53638e44 1.04745e43i −1.06358 0.0725112i
\(285\) −2.84072e43 −0.184595
\(286\) 3.61587e43 3.37775e43i 0.220610 0.206081i
\(287\) 1.60685e44i 0.920666i
\(288\) 5.29671e43 + 7.49482e43i 0.285064 + 0.403363i
\(289\) 3.29357e44 1.66535
\(290\) −1.17068e42 1.25322e42i −0.00556257 0.00595473i
\(291\) 2.79995e44i 1.25048i
\(292\) 2.16787e43 3.17978e44i 0.0910212 1.33507i
\(293\) 2.66147e44 1.05076 0.525380 0.850868i \(-0.323923\pi\)
0.525380 + 0.850868i \(0.323923\pi\)
\(294\) 1.60549e44 1.49976e44i 0.596151 0.556891i
\(295\) 1.43036e43i 0.0499631i
\(296\) −3.63033e44 + 2.95552e44i −1.19315 + 0.971366i
\(297\) −5.92797e43 −0.183354
\(298\) −1.00603e44 1.07695e44i −0.292899 0.313548i
\(299\) 3.22212e44i 0.883203i
\(300\) −4.64382e44 3.16601e43i −1.19865 0.0817202i
\(301\) −3.86629e44 −0.939935
\(302\) 2.16711e43 2.02439e43i 0.0496313 0.0463628i
\(303\) 8.48852e44i 1.83174i
\(304\) −7.72087e43 + 5.63606e44i −0.157015 + 1.14618i
\(305\) −7.83888e42 −0.0150265
\(306\) 3.04589e44 + 3.26062e44i 0.550463 + 0.589270i
\(307\) 2.07386e44i 0.353418i −0.984263 0.176709i \(-0.943455\pi\)
0.984263 0.176709i \(-0.0565451\pi\)
\(308\) 7.23410e42 1.06108e44i 0.0116271 0.170543i
\(309\) 2.62769e44 0.398401
\(310\) 6.82445e43 6.37502e43i 0.0976241 0.0911950i
\(311\) 1.30713e45i 1.76454i 0.470744 + 0.882270i \(0.343986\pi\)
−0.470744 + 0.882270i \(0.656014\pi\)
\(312\) 6.16815e44 + 7.57647e44i 0.785909 + 0.965349i
\(313\) 9.40367e44 1.13110 0.565548 0.824716i \(-0.308665\pi\)
0.565548 + 0.824716i \(0.308665\pi\)
\(314\) 6.18018e44 + 6.61587e44i 0.701887 + 0.751369i
\(315\) 3.46697e43i 0.0371843i
\(316\) −1.78373e45 1.21609e44i −1.80702 0.123197i
\(317\) 1.00608e45 0.962864 0.481432 0.876483i \(-0.340117\pi\)
0.481432 + 0.876483i \(0.340117\pi\)
\(318\) 3.13005e44 2.92392e44i 0.283050 0.264410i
\(319\) 2.16503e43i 0.0185025i
\(320\) 3.27741e43 1.58251e44i 0.0264747 0.127834i
\(321\) −1.91615e45 −1.46332
\(322\) −4.72766e44 5.06095e44i −0.341382 0.365449i
\(323\) 2.76574e45i 1.88871i
\(324\) 1.31625e44 1.93064e45i 0.0850212 1.24707i
\(325\) −1.63822e45 −1.00109
\(326\) −1.13944e45 + 1.06440e45i −0.658834 + 0.615446i
\(327\) 1.85538e45i 1.01525i
\(328\) 2.39047e45 1.94612e45i 1.23809 1.00796i
\(329\) 8.38908e44 0.411328
\(330\) −6.95477e43 7.44507e43i −0.0322873 0.0345635i
\(331\) 1.31519e45i 0.578210i −0.957297 0.289105i \(-0.906642\pi\)
0.957297 0.289105i \(-0.0933577\pi\)
\(332\) 6.56910e43 + 4.47861e42i 0.0273540 + 0.00186491i
\(333\) −1.92651e45 −0.759934
\(334\) 2.66488e45 2.48938e45i 0.995958 0.930369i
\(335\) 1.31155e44i 0.0464492i
\(336\) 2.08048e45 + 2.85006e44i 0.698324 + 0.0956638i
\(337\) −4.63066e44 −0.147334 −0.0736672 0.997283i \(-0.523470\pi\)
−0.0736672 + 0.997283i \(0.523470\pi\)
\(338\) 8.42610e43 + 9.02013e43i 0.0254171 + 0.0272090i
\(339\) 2.11180e45i 0.604029i
\(340\) 5.34436e43 7.83896e44i 0.0144969 0.212637i
\(341\) −1.17898e45 −0.303338
\(342\) −1.71078e45 + 1.59812e45i −0.417566 + 0.390067i
\(343\) 4.15218e45i 0.961573i
\(344\) 4.68262e45 + 5.75177e45i 1.02905 + 1.26401i
\(345\) −6.63435e44 −0.138374
\(346\) −5.90232e45 6.31842e45i −1.16857 1.25095i
\(347\) 8.69234e45i 1.63383i 0.576760 + 0.816913i \(0.304317\pi\)
−0.576760 + 0.816913i \(0.695683\pi\)
\(348\) −4.26485e44 2.90764e43i −0.0761163 0.00518937i
\(349\) 4.23539e45 0.717854 0.358927 0.933366i \(-0.383143\pi\)
0.358927 + 0.933366i \(0.383143\pi\)
\(350\) −2.57314e45 + 2.40369e45i −0.414228 + 0.386949i
\(351\) 4.11950e45i 0.629965i
\(352\) −1.66615e45 + 1.17749e45i −0.242073 + 0.171077i
\(353\) 2.46125e45 0.339790 0.169895 0.985462i \(-0.445657\pi\)
0.169895 + 0.985462i \(0.445657\pi\)
\(354\) −2.43385e45 2.60543e45i −0.319326 0.341838i
\(355\) 1.11597e45i 0.139169i
\(356\) −1.83075e44 + 2.68530e45i −0.0217035 + 0.318341i
\(357\) 1.02094e46 1.15073
\(358\) −1.05354e46 + 9.84157e45i −1.12916 + 1.05480i
\(359\) 4.62645e45i 0.471572i 0.971805 + 0.235786i \(0.0757664\pi\)
−0.971805 + 0.235786i \(0.924234\pi\)
\(360\) 5.15770e44 4.19898e44i 0.0500047 0.0407098i
\(361\) −3.66881e45 −0.338373
\(362\) 6.20113e45 + 6.63830e45i 0.544147 + 0.582509i
\(363\) 1.33519e46i 1.11487i
\(364\) 7.37371e45 + 5.02717e44i 0.585951 + 0.0399483i
\(365\) −2.30968e45 −0.174695
\(366\) −1.42787e45 + 1.33384e45i −0.102808 + 0.0960379i
\(367\) 1.95361e46i 1.33921i −0.742718 0.669604i \(-0.766464\pi\)
0.742718 0.669604i \(-0.233536\pi\)
\(368\) −1.80317e45 + 1.31627e46i −0.117700 + 0.859182i
\(369\) 1.26855e46 0.788559
\(370\) 2.31580e45 + 2.47906e45i 0.137110 + 0.146776i
\(371\) 3.24030e45i 0.182749i
\(372\) 1.58337e45 2.32245e46i 0.0850765 1.24788i
\(373\) −1.78396e46 −0.913325 −0.456662 0.889640i \(-0.650955\pi\)
−0.456662 + 0.889640i \(0.650955\pi\)
\(374\) −7.24857e45 + 6.77121e45i −0.353642 + 0.330352i
\(375\) 6.80469e45i 0.316407i
\(376\) −1.01604e46 1.24802e46i −0.450327 0.553146i
\(377\) −1.50454e45 −0.0635709
\(378\) −6.04434e45 6.47046e45i −0.243499 0.260665i
\(379\) 1.59965e46i 0.614496i −0.951629 0.307248i \(-0.900592\pi\)
0.951629 0.307248i \(-0.0994081\pi\)
\(380\) 4.11295e45 + 2.80408e44i 0.150678 + 0.0102727i
\(381\) 1.19184e46 0.416456
\(382\) 3.76473e46 3.51680e46i 1.25485 1.17221i
\(383\) 2.43670e46i 0.774862i 0.921899 + 0.387431i \(0.126638\pi\)
−0.921899 + 0.387431i \(0.873362\pi\)
\(384\) −2.09576e46 3.44025e46i −0.635887 1.04383i
\(385\) −7.70730e44 −0.0223156
\(386\) 4.91817e45 + 5.26490e45i 0.135904 + 0.145485i
\(387\) 3.05230e46i 0.805064i
\(388\) −2.76384e45 + 4.05393e46i −0.0695893 + 1.02072i
\(389\) −3.51428e46 −0.844780 −0.422390 0.906414i \(-0.638809\pi\)
−0.422390 + 0.906414i \(0.638809\pi\)
\(390\) 5.17378e45 4.83306e45i 0.118753 0.110933i
\(391\) 6.45924e46i 1.41579i
\(392\) −2.47257e46 + 2.01296e46i −0.517605 + 0.421392i
\(393\) −2.08158e46 −0.416224
\(394\) 3.02596e46 + 3.23928e46i 0.578004 + 0.618753i
\(395\) 1.29564e46i 0.236449i
\(396\) −8.37684e45 5.71106e44i −0.146072 0.00995872i
\(397\) 9.09787e45 0.151604 0.0758020 0.997123i \(-0.475848\pi\)
0.0758020 + 0.997123i \(0.475848\pi\)
\(398\) 8.15987e46 7.62250e46i 1.29954 1.21395i
\(399\) 5.35667e46i 0.815423i
\(400\) 6.69233e46 + 9.16785e45i 0.973862 + 0.133410i
\(401\) −2.80512e46 −0.390259 −0.195129 0.980778i \(-0.562513\pi\)
−0.195129 + 0.980778i \(0.562513\pi\)
\(402\) 2.23168e46 + 2.38901e46i 0.296868 + 0.317797i
\(403\) 8.19303e46i 1.04221i
\(404\) −8.37905e45 + 1.22902e47i −0.101937 + 1.49518i
\(405\) −1.40235e46 −0.163179
\(406\) −2.36316e45 + 2.20753e45i −0.0263042 + 0.0245719i
\(407\) 4.28277e46i 0.456064i
\(408\) −1.23650e47 1.51882e47i −1.25983 1.54747i
\(409\) 2.66506e46 0.259829 0.129914 0.991525i \(-0.458530\pi\)
0.129914 + 0.991525i \(0.458530\pi\)
\(410\) −1.52489e46 1.63239e46i −0.142275 0.152305i
\(411\) 1.16366e47i 1.03913i
\(412\) −3.80451e46 2.59380e45i −0.325199 0.0221710i
\(413\) −2.69720e46 −0.220705
\(414\) −3.99544e46 + 3.73232e46i −0.313011 + 0.292397i
\(415\) 4.77156e44i 0.00357927i
\(416\) −8.18272e46 1.15785e47i −0.587784 0.831711i
\(417\) 3.56537e46 0.245276
\(418\) −3.55273e46 3.80319e46i −0.234093 0.250596i
\(419\) 2.01039e46i 0.126890i −0.997985 0.0634450i \(-0.979791\pi\)
0.997985 0.0634450i \(-0.0202087\pi\)
\(420\) 1.03509e45 1.51825e46i 0.00625881 0.0918026i
\(421\) 2.31091e47 1.33877 0.669384 0.742916i \(-0.266558\pi\)
0.669384 + 0.742916i \(0.266558\pi\)
\(422\) −1.65997e47 + 1.55065e47i −0.921460 + 0.860777i
\(423\) 6.62288e46i 0.352306i
\(424\) −4.82049e46 + 3.92445e46i −0.245757 + 0.200075i
\(425\) 3.28407e47 1.60477
\(426\) 1.89890e47 + 2.03276e47i 0.889464 + 0.952170i
\(427\) 1.47816e46i 0.0663773i
\(428\) 2.77431e47 + 1.89144e46i 1.19445 + 0.0814337i
\(429\) −8.93811e46 −0.368990
\(430\) 3.92774e46 3.66907e46i 0.155493 0.145253i
\(431\) 1.16679e47i 0.443000i −0.975160 0.221500i \(-0.928905\pi\)
0.975160 0.221500i \(-0.0710952\pi\)
\(432\) −2.30536e46 + 1.68286e47i −0.0839520 + 0.612831i
\(433\) −2.80462e47 −0.979697 −0.489848 0.871808i \(-0.662948\pi\)
−0.489848 + 0.871808i \(0.662948\pi\)
\(434\) −1.20212e47 1.28687e47i −0.402841 0.431241i
\(435\) 3.09784e45i 0.00995983i
\(436\) −1.83145e46 + 2.68632e47i −0.0564986 + 0.828707i
\(437\) −3.38904e47 −1.00325
\(438\) −4.20713e47 + 3.93006e47i −1.19523 + 1.11652i
\(439\) 1.85002e47i 0.504447i 0.967669 + 0.252224i \(0.0811618\pi\)
−0.967669 + 0.252224i \(0.918838\pi\)
\(440\) 9.33461e45 + 1.14659e46i 0.0244314 + 0.0300096i
\(441\) −1.31212e47 −0.329670
\(442\) −4.70549e47 5.03722e47i −1.13502 1.21504i
\(443\) 1.13148e47i 0.262048i 0.991379 + 0.131024i \(0.0418265\pi\)
−0.991379 + 0.131024i \(0.958173\pi\)
\(444\) 8.43655e47 + 5.75178e46i 1.87617 + 0.127911i
\(445\) 1.95051e46 0.0416550
\(446\) 5.78065e47 5.39996e47i 1.18563 1.10755i
\(447\) 2.66213e47i 0.524438i
\(448\) −2.98411e47 6.18014e46i −0.564691 0.116948i
\(449\) 7.27545e47 1.32259 0.661295 0.750126i \(-0.270007\pi\)
0.661295 + 0.750126i \(0.270007\pi\)
\(450\) 1.89763e47 + 2.03141e47i 0.331425 + 0.354790i
\(451\) 2.82008e47i 0.473242i
\(452\) 2.08456e46 3.05758e47i 0.0336142 0.493045i
\(453\) −5.35690e46 −0.0830130
\(454\) −5.53773e46 + 5.17304e46i −0.0824758 + 0.0770443i
\(455\) 5.35600e46i 0.0766718i
\(456\) 7.96896e47 6.48768e47i 1.09657 0.892734i
\(457\) −7.18820e47 −0.950886 −0.475443 0.879747i \(-0.657712\pi\)
−0.475443 + 0.879747i \(0.657712\pi\)
\(458\) −8.23927e47 8.82012e47i −1.04788 1.12175i
\(459\) 8.25817e47i 1.00985i
\(460\) 9.60558e46 + 6.54878e45i 0.112949 + 0.00770051i
\(461\) −6.51911e47 −0.737176 −0.368588 0.929593i \(-0.620159\pi\)
−0.368588 + 0.929593i \(0.620159\pi\)
\(462\) −1.40390e47 + 1.31145e47i −0.152679 + 0.142625i
\(463\) 7.31141e47i 0.764792i −0.923999 0.382396i \(-0.875099\pi\)
0.923999 0.382396i \(-0.124901\pi\)
\(464\) 6.14619e46 + 8.41970e45i 0.0618419 + 0.00847174i
\(465\) −1.68694e47 −0.163285
\(466\) 3.94652e46 + 4.22474e46i 0.0367509 + 0.0393417i
\(467\) 6.00670e47i 0.538185i −0.963114 0.269093i \(-0.913276\pi\)
0.963114 0.269093i \(-0.0867238\pi\)
\(468\) 3.96877e46 5.82129e47i 0.0342161 0.501873i
\(469\) 2.47316e47 0.205183
\(470\) −8.52240e46 + 7.96115e46i −0.0680456 + 0.0635645i
\(471\) 1.63538e48i 1.25673i
\(472\) 3.26668e47 + 4.01254e47i 0.241630 + 0.296799i
\(473\) −6.78547e47 −0.483147
\(474\) 2.20462e48 + 2.36004e48i 1.51120 + 1.61774i
\(475\) 1.72309e48i 1.13716i
\(476\) −1.47817e48 1.00777e47i −0.939291 0.0640379i
\(477\) −2.55810e47 −0.156526
\(478\) −5.66868e47 + 5.29537e47i −0.334026 + 0.312028i
\(479\) 3.96347e47i 0.224924i −0.993656 0.112462i \(-0.964126\pi\)
0.993656 0.112462i \(-0.0358737\pi\)
\(480\) −2.38401e47 + 1.68482e47i −0.130307 + 0.0920898i
\(481\) 2.97621e48 1.56694
\(482\) −6.17931e47 6.61494e47i −0.313396 0.335490i
\(483\) 1.25102e48i 0.611247i
\(484\) −1.31797e47 + 1.93316e48i −0.0620424 + 0.910021i
\(485\) 2.94463e47 0.133561
\(486\) −1.52020e48 + 1.42009e48i −0.664427 + 0.620671i
\(487\) 1.04806e48i 0.441434i 0.975338 + 0.220717i \(0.0708397\pi\)
−0.975338 + 0.220717i \(0.929160\pi\)
\(488\) 2.19901e47 1.79026e47i 0.0892629 0.0726706i
\(489\) 2.81660e48 1.10196
\(490\) 1.57726e47 + 1.68845e47i 0.0594803 + 0.0636736i
\(491\) 1.85047e48i 0.672691i −0.941739 0.336346i \(-0.890809\pi\)
0.941739 0.336346i \(-0.109191\pi\)
\(492\) −5.55523e48 3.78738e47i −1.94684 0.132729i
\(493\) 3.01607e47 0.101905
\(494\) 2.64293e48 2.46888e48i 0.860996 0.804295i
\(495\) 6.08464e46i 0.0191135i
\(496\) −4.58499e47 + 3.34694e48i −0.138889 + 1.01386i
\(497\) 2.10436e48 0.614760
\(498\) −8.11911e46 8.69150e46i −0.0228760 0.0244887i
\(499\) 2.93720e48i 0.798223i −0.916902 0.399112i \(-0.869319\pi\)
0.916902 0.399112i \(-0.130681\pi\)
\(500\) 6.71693e46 9.85222e47i 0.0176080 0.258270i
\(501\) −6.58734e48 −1.66583
\(502\) 4.67706e48 4.36905e48i 1.14105 1.06591i
\(503\) 7.23105e48i 1.70207i −0.525108 0.851036i \(-0.675975\pi\)
0.525108 0.851036i \(-0.324025\pi\)
\(504\) −7.91792e47 9.72575e47i −0.179830 0.220889i
\(505\) 8.92714e47 0.195645
\(506\) −8.29720e47 8.88214e47i −0.175478 0.187849i
\(507\) 2.22970e47i 0.0455095i
\(508\) −1.72562e48 1.17647e47i −0.339937 0.0231758i
\(509\) −1.96709e48 −0.374028 −0.187014 0.982357i \(-0.559881\pi\)
−0.187014 + 0.982357i \(0.559881\pi\)
\(510\) −1.03716e48 + 9.68860e47i −0.190364 + 0.177827i
\(511\) 4.35531e48i 0.771689i
\(512\) 2.69477e48 + 5.18787e48i 0.460960 + 0.887421i
\(513\) −4.33291e48 −0.715594
\(514\) 5.05806e48 + 5.41465e48i 0.806581 + 0.863444i
\(515\) 2.76346e47i 0.0425524i
\(516\) 9.11291e47 1.33666e49i 0.135507 1.98758i
\(517\) 1.47231e48 0.211432
\(518\) 4.67470e48 4.36685e48i 0.648363 0.605665i
\(519\) 1.56186e49i 2.09232i
\(520\) −7.96796e47 + 6.48687e47i −0.103107 + 0.0839412i
\(521\) −3.03075e48 −0.378854 −0.189427 0.981895i \(-0.560663\pi\)
−0.189427 + 0.981895i \(0.560663\pi\)
\(522\) 1.74277e47 + 1.86563e47i 0.0210460 + 0.0225298i
\(523\) 3.63953e48i 0.424634i −0.977201 0.212317i \(-0.931899\pi\)
0.977201 0.212317i \(-0.0681010\pi\)
\(524\) 3.01383e48 + 2.05473e47i 0.339747 + 0.0231629i
\(525\) 6.36058e48 0.692834
\(526\) −9.04770e48 + 8.45186e48i −0.952347 + 0.889629i
\(527\) 1.64242e49i 1.67068i
\(528\) 3.65132e48 + 5.00195e47i 0.358954 + 0.0491733i
\(529\) 2.60959e48 0.247954
\(530\) 3.07501e47 + 3.29179e47i 0.0282410 + 0.0302320i
\(531\) 2.12934e48i 0.189036i
\(532\) 5.28759e47 7.75570e48i 0.0453783 0.665597i
\(533\) −1.95975e49 −1.62596
\(534\) 3.55289e48 3.31891e48i 0.284996 0.266228i
\(535\) 2.01516e48i 0.156294i
\(536\) −2.99534e48 3.67924e48i −0.224636 0.275925i
\(537\) 2.60425e49 1.88863
\(538\) −6.13959e48 6.57242e48i −0.430585 0.460940i
\(539\) 2.91693e48i 0.197847i
\(540\) 1.22808e48 + 8.37266e46i 0.0805636 + 0.00549257i
\(541\) −2.94812e49 −1.87066 −0.935330 0.353777i \(-0.884897\pi\)
−0.935330 + 0.353777i \(0.884897\pi\)
\(542\) −7.60455e48 + 7.10375e48i −0.466752 + 0.436014i
\(543\) 1.64093e49i 0.974300i
\(544\) 1.64035e49 + 2.32109e49i 0.942230 + 1.33325i
\(545\) 1.95125e48 0.108436
\(546\) −9.11358e48 9.75607e48i −0.490029 0.524575i
\(547\) 2.55941e49i 1.33158i −0.746138 0.665791i \(-0.768094\pi\)
0.746138 0.665791i \(-0.231906\pi\)
\(548\) −1.14865e48 + 1.68481e49i −0.0578279 + 0.848204i
\(549\) 1.16695e48 0.0568528
\(550\) −4.51595e48 + 4.21855e48i −0.212922 + 0.198900i
\(551\) 1.58248e48i 0.0722118i
\(552\) 1.86111e49 1.51516e49i 0.821993 0.669200i
\(553\) 2.44316e49 1.04448
\(554\) 1.44226e48 + 1.54394e48i 0.0596855 + 0.0638933i
\(555\) 6.12801e48i 0.245497i
\(556\) −5.16214e48 3.51938e47i −0.200209 0.0136496i
\(557\) 3.13988e49 1.17901 0.589507 0.807763i \(-0.299322\pi\)
0.589507 + 0.807763i \(0.299322\pi\)
\(558\) −1.01594e49 + 9.49033e48i −0.369362 + 0.345037i
\(559\) 4.71540e49i 1.65999i
\(560\) −2.99733e47 + 2.18799e48i −0.0102176 + 0.0745865i
\(561\) 1.79178e49 0.591498
\(562\) −3.41348e49 3.65413e49i −1.09130 1.16823i
\(563\) 3.22007e49i 0.997043i 0.866877 + 0.498521i \(0.166123\pi\)
−0.866877 + 0.498521i \(0.833877\pi\)
\(564\) −1.97732e48 + 2.90028e49i −0.0592998 + 0.869793i
\(565\) −2.22092e48 −0.0645150
\(566\) −1.47057e49 + 1.37373e49i −0.413801 + 0.386550i
\(567\) 2.64437e49i 0.720821i
\(568\) −2.54868e49 3.13059e49i −0.673046 0.826717i
\(569\) −1.36109e49 −0.348230 −0.174115 0.984725i \(-0.555706\pi\)
−0.174115 + 0.984725i \(0.555706\pi\)
\(570\) −5.08343e48 5.44180e48i −0.126011 0.134895i
\(571\) 1.02069e49i 0.245157i −0.992459 0.122579i \(-0.960884\pi\)
0.992459 0.122579i \(-0.0391164\pi\)
\(572\) 1.29411e49 + 8.82284e47i 0.301192 + 0.0205343i
\(573\) −9.30607e49 −2.09886
\(574\) −3.07816e49 + 2.87544e49i −0.672786 + 0.628479i
\(575\) 4.02419e49i 0.852427i
\(576\) −4.87900e48 + 2.35585e49i −0.100167 + 0.483663i
\(577\) 9.74285e49 1.93875 0.969374 0.245589i \(-0.0789813\pi\)
0.969374 + 0.245589i \(0.0789813\pi\)
\(578\) 5.89381e49 + 6.30931e49i 1.13683 + 1.21697i
\(579\) 1.30144e49i 0.243337i
\(580\) 3.05788e46 4.48522e47i 0.000554265 0.00812981i
\(581\) −8.99762e47 −0.0158109
\(582\) 5.36371e49 5.01048e49i 0.913801 0.853622i
\(583\) 5.68683e48i 0.0939369i
\(584\) 6.47926e49 5.27488e49i 1.03775 0.844854i
\(585\) −4.22838e48 −0.0656702
\(586\) 4.76266e49 + 5.09841e49i 0.717286 + 0.767853i
\(587\) 1.32820e50i 1.93989i 0.243333 + 0.969943i \(0.421759\pi\)
−0.243333 + 0.969943i \(0.578241\pi\)
\(588\) 5.74601e49 + 3.91745e48i 0.813907 + 0.0554896i
\(589\) −8.61745e49 −1.18387
\(590\) 2.74006e48 2.55961e48i 0.0365110 0.0341065i
\(591\) 8.00722e49i 1.03492i
\(592\) −1.21581e50 1.66555e49i −1.52432 0.208817i
\(593\) 1.05208e49 0.127957 0.0639785 0.997951i \(-0.479621\pi\)
0.0639785 + 0.997951i \(0.479621\pi\)
\(594\) −1.06080e49 1.13559e49i −0.125164 0.133988i
\(595\) 1.07369e49i 0.122906i
\(596\) 2.62780e48 3.85438e49i 0.0291850 0.428077i
\(597\) −2.01705e50 −2.17359
\(598\) 6.17243e49 5.76595e49i 0.645409 0.602905i
\(599\) 3.72920e49i 0.378384i −0.981940 0.189192i \(-0.939413\pi\)
0.981940 0.189192i \(-0.0605869\pi\)
\(600\) −7.70355e49 9.46244e49i −0.758523 0.931710i
\(601\) 1.08974e50 1.04131 0.520656 0.853766i \(-0.325687\pi\)
0.520656 + 0.853766i \(0.325687\pi\)
\(602\) −6.91868e49 7.40644e49i −0.641633 0.686867i
\(603\) 1.95247e49i 0.175741i
\(604\) 7.75603e48 + 5.28782e47i 0.0677602 + 0.00461967i
\(605\) 1.40418e49 0.119076
\(606\) 1.62610e50 1.51901e50i 1.33856 1.25041i
\(607\) 3.62232e48i 0.0289461i −0.999895 0.0144730i \(-0.995393\pi\)
0.999895 0.0144730i \(-0.00460707\pi\)
\(608\) −1.21783e50 + 8.60662e49i −0.944763 + 0.667679i
\(609\) 5.84152e48 0.0439961
\(610\) −1.40276e48 1.50165e48i −0.0102576 0.0109807i
\(611\) 1.02315e50i 0.726435i
\(612\) −7.95601e48 + 1.16697e50i −0.0548491 + 0.804512i
\(613\) 1.74376e50 1.16734 0.583672 0.811990i \(-0.301616\pi\)
0.583672 + 0.811990i \(0.301616\pi\)
\(614\) 3.97277e49 3.71114e49i 0.258263 0.241255i
\(615\) 4.03512e49i 0.254744i
\(616\) 2.16210e49 1.76021e49i 0.132563 0.107922i
\(617\) 7.05688e49 0.420223 0.210111 0.977677i \(-0.432617\pi\)
0.210111 + 0.977677i \(0.432617\pi\)
\(618\) 4.70221e49 + 5.03370e49i 0.271963 + 0.291136i
\(619\) 1.56606e50i 0.879786i −0.898050 0.439893i \(-0.855016\pi\)
0.898050 0.439893i \(-0.144984\pi\)
\(620\) 2.44245e49 + 1.66519e48i 0.133283 + 0.00908683i
\(621\) −1.01193e50 −0.536415
\(622\) −2.50399e50 + 2.33909e50i −1.28945 + 1.20454i
\(623\) 3.67803e49i 0.184005i
\(624\) −3.47599e49 + 2.53740e50i −0.168949 + 1.23329i
\(625\) 2.00993e50 0.949163
\(626\) 1.68277e50 + 1.80141e50i 0.772125 + 0.826559i
\(627\) 9.40114e49i 0.419145i
\(628\) −1.61429e49 + 2.36780e50i −0.0699373 + 1.02582i
\(629\) −5.96627e50 −2.51184
\(630\) −6.64147e48 + 6.20409e48i −0.0271728 + 0.0253833i
\(631\) 1.59388e50i 0.633763i −0.948465 0.316881i \(-0.897364\pi\)
0.948465 0.316881i \(-0.102636\pi\)
\(632\) −2.95901e50 3.63461e50i −1.14351 1.40459i
\(633\) 4.10330e50 1.54123
\(634\) 1.80036e50 + 1.92729e50i 0.657285 + 0.703622i
\(635\) 1.25343e49i 0.0444808i
\(636\) 1.12024e50 + 7.63743e48i 0.386440 + 0.0263463i
\(637\) 2.02705e50 0.679760
\(638\) −4.14742e48 + 3.87429e48i −0.0135209 + 0.0126305i
\(639\) 1.66132e50i 0.526547i
\(640\) 3.61802e49 2.20405e49i 0.111489 0.0679176i
\(641\) 3.35970e50 1.00660 0.503299 0.864112i \(-0.332119\pi\)
0.503299 + 0.864112i \(0.332119\pi\)
\(642\) −3.42893e50 3.67066e50i −0.998913 1.06933i
\(643\) 3.38009e50i 0.957481i −0.877956 0.478741i \(-0.841093\pi\)
0.877956 0.478741i \(-0.158907\pi\)
\(644\) 1.23489e49 1.81130e50i 0.0340159 0.498937i
\(645\) −9.70901e49 −0.260076
\(646\) −5.29817e50 + 4.94925e50i −1.38019 + 1.28930i
\(647\) 3.22802e50i 0.817823i 0.912574 + 0.408912i \(0.134092\pi\)
−0.912574 + 0.408912i \(0.865908\pi\)
\(648\) 3.93395e50 3.20270e50i 0.969345 0.789162i
\(649\) −4.73367e49 −0.113447
\(650\) −2.93158e50 3.13825e50i −0.683379 0.731556i
\(651\) 3.18103e50i 0.721290i
\(652\) −4.07804e50 2.78028e49i −0.899486 0.0613241i
\(653\) −6.22917e50 −1.33657 −0.668287 0.743904i \(-0.732972\pi\)
−0.668287 + 0.743904i \(0.732972\pi\)
\(654\) 3.55424e50 3.32017e50i 0.741903 0.693044i
\(655\) 2.18914e49i 0.0444559i
\(656\) 8.00579e50 + 1.09672e50i 1.58174 + 0.216683i
\(657\) 3.43836e50 0.660959
\(658\) 1.50122e50 + 1.60705e50i 0.280787 + 0.300582i
\(659\) 9.66238e50i 1.75852i −0.476345 0.879259i \(-0.658039\pi\)
0.476345 0.879259i \(-0.341961\pi\)
\(660\) 1.81662e48 2.66457e49i 0.00321717 0.0471885i
\(661\) 1.46714e50 0.252839 0.126420 0.991977i \(-0.459651\pi\)
0.126420 + 0.991977i \(0.459651\pi\)
\(662\) 2.51944e50 2.35352e50i 0.422532 0.394706i
\(663\) 1.24516e51i 2.03226i
\(664\) 1.08974e49 + 1.33855e49i 0.0173100 + 0.0212622i
\(665\) −5.63347e49 −0.0870935
\(666\) −3.44747e50 3.69051e50i −0.518758 0.555329i
\(667\) 3.69579e49i 0.0541305i
\(668\) 9.53753e50 + 6.50239e49i 1.35975 + 0.0927036i
\(669\) −1.42893e51 −1.98308
\(670\) −2.51246e49 + 2.34700e49i −0.0339432 + 0.0317078i
\(671\) 2.59422e49i 0.0341194i
\(672\) 3.17703e50 + 4.49548e50i 0.406794 + 0.575611i
\(673\) −2.83286e50 −0.353146 −0.176573 0.984288i \(-0.556501\pi\)
−0.176573 + 0.984288i \(0.556501\pi\)
\(674\) −8.28650e49 8.87068e49i −0.100576 0.107666i
\(675\) 5.14495e50i 0.608013i
\(676\) −2.20094e48 + 3.22828e49i −0.00253261 + 0.0371476i
\(677\) 4.96112e49 0.0555883 0.0277941 0.999614i \(-0.491152\pi\)
0.0277941 + 0.999614i \(0.491152\pi\)
\(678\) −4.04545e50 + 3.77903e50i −0.441400 + 0.412331i
\(679\) 5.55262e50i 0.589987i
\(680\) 1.59730e50 1.30039e50i 0.165282 0.134559i
\(681\) 1.36888e50 0.137948
\(682\) −2.10976e50 2.25850e50i −0.207069 0.221667i
\(683\) 6.67091e50i 0.637694i 0.947806 + 0.318847i \(0.103296\pi\)
−0.947806 + 0.318847i \(0.896704\pi\)
\(684\) −6.12285e50 4.17437e49i −0.570090 0.0388670i
\(685\) 1.22378e50 0.110988
\(686\) 7.95409e50 7.43027e50i 0.702679 0.656403i
\(687\) 2.18025e51i 1.87623i
\(688\) −2.63884e50 + 1.92629e51i −0.221218 + 1.61484i
\(689\) 3.95193e50 0.322747
\(690\) −1.18721e50 1.27090e50i −0.0944589 0.101118i
\(691\) 1.46173e51i 1.13308i −0.824034 0.566541i \(-0.808281\pi\)
0.824034 0.566541i \(-0.191719\pi\)
\(692\) 1.54172e50 2.26135e51i 0.116438 1.70788i
\(693\) 1.14737e50 0.0844313
\(694\) −1.66514e51 + 1.55548e51i −1.19393 + 1.11531i
\(695\) 3.74960e49i 0.0261974i
\(696\) −7.07489e49 8.69025e49i −0.0481674 0.0591651i
\(697\) 3.92862e51 2.60645
\(698\) 7.57918e50 + 8.11350e50i 0.490032 + 0.524579i
\(699\) 1.04432e50i 0.0658027i
\(700\) −9.20921e50 6.27855e49i −0.565533 0.0385562i
\(701\) −1.22498e51 −0.733172 −0.366586 0.930384i \(-0.619473\pi\)
−0.366586 + 0.930384i \(0.619473\pi\)
\(702\) 7.89149e50 7.37179e50i 0.460353 0.430036i
\(703\) 3.13039e51i 1.77993i
\(704\) −5.23721e50 1.08463e50i −0.290263 0.0601140i
\(705\) 2.10666e50 0.113813
\(706\) 4.40437e50 + 4.71487e50i 0.231953 + 0.248305i
\(707\) 1.68337e51i 0.864232i
\(708\) 6.35733e49 9.32476e50i 0.0318182 0.466702i
\(709\) −1.49159e51 −0.727811 −0.363905 0.931436i \(-0.618557\pi\)
−0.363905 + 0.931436i \(0.618557\pi\)
\(710\) −2.13780e50 + 1.99702e50i −0.101699 + 0.0950017i
\(711\) 1.92879e51i 0.894606i
\(712\) −5.47169e50 + 4.45460e50i −0.247447 + 0.201451i
\(713\) −2.01256e51 −0.887437
\(714\) 1.82696e51 + 1.95575e51i 0.785526 + 0.840904i
\(715\) 9.39996e49i 0.0394110i
\(716\) −3.77059e51 2.57067e50i −1.54161 0.105102i
\(717\) 1.40125e51 0.558689
\(718\) −8.86262e50 + 8.27897e50i −0.344605 + 0.321911i
\(719\) 2.75711e51i 1.04553i −0.852478 0.522763i \(-0.824901\pi\)
0.852478 0.522763i \(-0.175099\pi\)
\(720\) 1.72734e50 + 2.36629e49i 0.0638840 + 0.00875150i
\(721\) 5.21100e50 0.187969
\(722\) −6.56528e50 7.02812e50i −0.230985 0.247269i
\(723\) 1.63515e51i 0.561138i
\(724\) −1.61977e50 + 2.37583e51i −0.0542198 + 0.795282i
\(725\) 1.87905e50 0.0613556
\(726\) 2.55774e51 2.38930e51i 0.814700 0.761047i
\(727\) 2.75423e51i 0.855817i 0.903822 + 0.427908i \(0.140749\pi\)
−0.903822 + 0.427908i \(0.859251\pi\)
\(728\) 1.22321e51 + 1.50250e51i 0.370798 + 0.455459i
\(729\) −4.68820e50 −0.138647
\(730\) −4.13314e50 4.42452e50i −0.119253 0.127660i
\(731\) 9.45275e51i 2.66100i
\(732\) −5.11030e50 3.48404e49i −0.140361 0.00956939i
\(733\) 6.09851e51 1.63438 0.817188 0.576371i \(-0.195532\pi\)
0.817188 + 0.576371i \(0.195532\pi\)
\(734\) 3.74241e51 3.49595e51i 0.978639 0.914190i
\(735\) 4.17370e50i 0.106500i
\(736\) −2.84418e51 + 2.01003e51i −0.708201 + 0.500497i
\(737\) 4.34047e50 0.105468
\(738\) 2.27006e51 + 2.43010e51i 0.538298 + 0.576247i
\(739\) 5.69250e50i 0.131736i 0.997828 + 0.0658678i \(0.0209816\pi\)
−0.997828 + 0.0658678i \(0.979018\pi\)
\(740\) −6.04898e49 + 8.87249e50i −0.0136619 + 0.200389i
\(741\) −6.53310e51 −1.44010
\(742\) 6.20725e50 5.79847e50i 0.133545 0.124751i
\(743\) 3.72054e51i 0.781282i 0.920543 + 0.390641i \(0.127747\pi\)
−0.920543 + 0.390641i \(0.872253\pi\)
\(744\) 4.73232e51 3.85267e51i 0.969976 0.789676i
\(745\) −2.79969e50 −0.0560140
\(746\) −3.19237e51 3.41742e51i −0.623468 0.667421i
\(747\) 7.10330e49i 0.0135422i
\(748\) −2.59424e51 1.76867e50i −0.482816 0.0329169i
\(749\) −3.79994e51 −0.690406
\(750\) −1.30354e51 + 1.21769e51i −0.231217 + 0.215990i
\(751\) 7.88181e51i 1.36492i −0.730923 0.682460i \(-0.760910\pi\)
0.730923 0.682460i \(-0.239090\pi\)
\(752\) 5.72575e50 4.17967e51i 0.0968080 0.706677i