Properties

Label 21.33.h.b.11.13
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 11.13
Character \(\chi\) \(=\) 21.11
Dual form 21.33.h.b.2.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-85030.6 + 49092.5i) q^{2} +(-1.46438e6 - 4.30218e7i) q^{3} +(2.67265e9 - 4.62917e9i) q^{4} +(9.94676e10 - 5.74276e10i) q^{5} +(2.23656e12 + 3.58628e12i) q^{6} +(-2.61520e13 - 2.05061e13i) q^{7} +1.03128e14i q^{8} +(-1.84873e15 + 1.26000e14i) q^{9} +O(q^{10})\) \(q+(-85030.6 + 49092.5i) q^{2} +(-1.46438e6 - 4.30218e7i) q^{3} +(2.67265e9 - 4.62917e9i) q^{4} +(9.94676e10 - 5.74276e10i) q^{5} +(2.23656e12 + 3.58628e12i) q^{6} +(-2.61520e13 - 2.05061e13i) q^{7} +1.03128e14i q^{8} +(-1.84873e15 + 1.26000e14i) q^{9} +(-5.63853e15 + 9.76621e15i) q^{10} +(3.10898e16 + 1.79497e16i) q^{11} +(-2.03069e17 - 1.08204e17i) q^{12} +3.29625e17 q^{13} +(3.23042e18 + 4.59776e17i) q^{14} +(-2.61630e18 - 4.19518e18i) q^{15} +(6.41618e18 + 1.11131e19i) q^{16} +(2.87284e19 + 1.65864e19i) q^{17} +(1.51013e20 - 1.01473e20i) q^{18} +(1.00160e20 + 1.73482e20i) q^{19} -6.13937e20i q^{20} +(-8.43912e20 + 1.15514e21i) q^{21} -3.52478e21 q^{22} +(6.94874e21 - 4.01186e21i) q^{23} +(4.43673e21 - 1.51017e20i) q^{24} +(-5.04567e21 + 8.73935e21i) q^{25} +(-2.80282e22 + 1.61821e22i) q^{26} +(8.12799e21 + 7.93513e22i) q^{27} +(-1.64821e23 + 6.62566e22i) q^{28} +7.09309e22i q^{29} +(4.28417e23 + 2.28278e23i) q^{30} +(-1.65521e23 + 2.86691e23i) q^{31} +(-1.47473e24 - 8.51436e23i) q^{32} +(7.26702e23 - 1.36383e24i) q^{33} -3.25706e24 q^{34} +(-3.77889e24 - 5.37840e23i) q^{35} +(-4.35774e24 + 8.89485e24i) q^{36} +(-6.45315e24 - 1.11772e25i) q^{37} +(-1.70333e25 - 9.83419e24i) q^{38} +(-4.82695e23 - 1.41811e25i) q^{39} +(5.92237e24 + 1.02578e25i) q^{40} -9.66749e25i q^{41} +(1.50499e25 - 1.39652e26i) q^{42} -1.55836e26 q^{43} +(1.66185e26 - 9.59468e25i) q^{44} +(-1.76653e26 + 1.18701e26i) q^{45} +(-3.93904e26 + 6.82262e26i) q^{46} +(-2.94689e26 + 1.70139e26i) q^{47} +(4.68712e26 - 2.92309e26i) q^{48} +(2.63430e26 + 1.07255e27i) q^{49} -9.90816e26i q^{50} +(6.71506e26 - 1.26024e27i) q^{51} +(8.80974e26 - 1.52589e27i) q^{52} +(-2.59209e27 - 1.49654e27i) q^{53} +(-4.58668e27 - 6.34826e27i) q^{54} +4.12324e27 q^{55} +(2.11474e27 - 2.69699e27i) q^{56} +(7.31684e27 - 4.56310e27i) q^{57} +(-3.48217e27 - 6.03130e27i) q^{58} +(3.96593e27 + 2.28973e27i) q^{59} +(-2.64127e28 + 8.99034e26i) q^{60} +(5.30105e27 + 9.18168e27i) q^{61} -3.25033e28i q^{62} +(5.09319e28 + 3.46151e28i) q^{63} +1.12082e29 q^{64} +(3.27870e28 - 1.89296e28i) q^{65} +(5.16161e27 + 1.51643e29i) q^{66} +(-1.42979e29 + 2.47647e29i) q^{67} +(1.53562e29 - 8.86591e28i) q^{68} +(-1.82773e29 - 2.93073e29i) q^{69} +(3.47726e29 - 1.39782e29i) q^{70} -3.66193e29i q^{71} +(-1.29941e28 - 1.90655e29i) q^{72} +(2.00778e29 - 3.47757e29i) q^{73} +(1.09743e30 + 6.33602e29i) q^{74} +(3.83371e29 + 2.04276e29i) q^{75} +1.07077e30 q^{76} +(-4.44984e29 - 1.10695e30i) q^{77} +(7.37227e29 + 1.18213e30i) q^{78} +(3.48971e29 + 6.04436e29i) q^{79} +(1.27640e30 + 7.36932e29i) q^{80} +(3.40193e30 - 4.65881e29i) q^{81} +(4.74601e30 + 8.22032e30i) q^{82} -6.05634e30i q^{83} +(3.09184e30 + 6.99389e30i) q^{84} +3.81006e30 q^{85} +(1.32508e31 - 7.65038e30i) q^{86} +(3.05158e30 - 1.03870e29i) q^{87} +(-1.85111e30 + 3.20622e30i) q^{88} +(5.62421e30 - 3.24714e30i) q^{89} +(9.19358e30 - 1.87656e31i) q^{90} +(-8.62037e30 - 6.75931e30i) q^{91} -4.28892e31i q^{92} +(1.25763e31 + 6.70119e30i) q^{93} +(1.67051e31 - 2.89340e31i) q^{94} +(1.99253e31 + 1.15039e31i) q^{95} +(-3.44708e31 + 6.46924e31i) q^{96} -1.17807e32 q^{97} +(-7.50538e31 - 7.82672e31i) q^{98} +(-5.97384e31 - 2.92669e31i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −85030.6 + 49092.5i −1.29746 + 0.749091i −0.979965 0.199167i \(-0.936176\pi\)
−0.317499 + 0.948259i \(0.602843\pi\)
\(3\) −1.46438e6 4.30218e7i −0.0340183 0.999421i
\(4\) 2.67265e9 4.62917e9i 0.622276 1.07781i
\(5\) 9.94676e10 5.74276e10i 0.651871 0.376358i −0.137302 0.990529i \(-0.543843\pi\)
0.789173 + 0.614172i \(0.210510\pi\)
\(6\) 2.23656e12 + 3.58628e12i 0.792795 + 1.27123i
\(7\) −2.61520e13 2.05061e13i −0.786931 0.617041i
\(8\) 1.03128e14i 0.366383i
\(9\) −1.84873e15 + 1.26000e14i −0.997686 + 0.0679972i
\(10\) −5.63853e15 + 9.76621e15i −0.563853 + 0.976621i
\(11\) 3.10898e16 + 1.79497e16i 0.676605 + 0.390638i 0.798575 0.601896i \(-0.205588\pi\)
−0.121969 + 0.992534i \(0.538921\pi\)
\(12\) −2.03069e17 1.08204e17i −1.09836 0.585250i
\(13\) 3.29625e17 0.495366 0.247683 0.968841i \(-0.420331\pi\)
0.247683 + 0.968841i \(0.420331\pi\)
\(14\) 3.23042e18 + 4.59776e17i 1.48324 + 0.211105i
\(15\) −2.61630e18 4.19518e18i −0.398315 0.638690i
\(16\) 6.41618e18 + 1.11131e19i 0.347822 + 0.602445i
\(17\) 2.87284e19 + 1.65864e19i 0.590376 + 0.340854i 0.765246 0.643738i \(-0.222617\pi\)
−0.174870 + 0.984592i \(0.555951\pi\)
\(18\) 1.51013e20 1.01473e20i 1.24353 0.835582i
\(19\) 1.00160e20 + 1.73482e20i 0.347245 + 0.601446i 0.985759 0.168164i \(-0.0537838\pi\)
−0.638514 + 0.769610i \(0.720451\pi\)
\(20\) 6.13937e20i 0.936793i
\(21\) −8.43912e20 + 1.15514e21i −0.589913 + 0.807467i
\(22\) −3.52478e21 −1.17050
\(23\) 6.94874e21 4.01186e21i 1.13308 0.654185i 0.188373 0.982098i \(-0.439679\pi\)
0.944708 + 0.327913i \(0.106345\pi\)
\(24\) 4.43673e21 1.51017e20i 0.366171 0.0124637i
\(25\) −5.04567e21 + 8.73935e21i −0.216710 + 0.375352i
\(26\) −2.80282e22 + 1.61821e22i −0.642720 + 0.371075i
\(27\) 8.12799e21 + 7.93513e22i 0.101897 + 0.994795i
\(28\) −1.64821e23 + 6.62566e22i −1.15474 + 0.464196i
\(29\) 7.09309e22i 0.283444i 0.989906 + 0.141722i \(0.0452639\pi\)
−0.989906 + 0.141722i \(0.954736\pi\)
\(30\) 4.28417e23 + 2.28278e23i 0.995238 + 0.530303i
\(31\) −1.65521e23 + 2.86691e23i −0.227544 + 0.394118i −0.957080 0.289825i \(-0.906403\pi\)
0.729535 + 0.683943i \(0.239736\pi\)
\(32\) −1.47473e24 8.51436e23i −1.21987 0.704292i
\(33\) 7.26702e23 1.36383e24i 0.367395 0.689503i
\(34\) −3.25706e24 −1.02132
\(35\) −3.77889e24 5.37840e23i −0.745206 0.106063i
\(36\) −4.35774e24 + 8.89485e24i −0.547547 + 1.11763i
\(37\) −6.45315e24 1.11772e25i −0.523051 0.905951i −0.999640 0.0268249i \(-0.991460\pi\)
0.476589 0.879126i \(-0.341873\pi\)
\(38\) −1.70333e25 9.83419e24i −0.901076 0.520237i
\(39\) −4.82695e23 1.41811e25i −0.0168515 0.495080i
\(40\) 5.92237e24 + 1.02578e25i 0.137891 + 0.238834i
\(41\) 9.66749e25i 1.51625i −0.652107 0.758127i \(-0.726115\pi\)
0.652107 0.758127i \(-0.273885\pi\)
\(42\) 1.50499e25 1.39652e26i 0.160525 1.48956i
\(43\) −1.55836e26 −1.14070 −0.570352 0.821400i \(-0.693193\pi\)
−0.570352 + 0.821400i \(0.693193\pi\)
\(44\) 1.66185e26 9.59468e25i 0.842070 0.486169i
\(45\) −1.76653e26 + 1.18701e26i −0.624771 + 0.419812i
\(46\) −3.93904e26 + 6.82262e26i −0.980088 + 1.69756i
\(47\) −2.94689e26 + 1.70139e26i −0.519754 + 0.300080i −0.736834 0.676074i \(-0.763680\pi\)
0.217080 + 0.976154i \(0.430347\pi\)
\(48\) 4.68712e26 2.92309e26i 0.590264 0.368114i
\(49\) 2.63430e26 + 1.07255e27i 0.238522 + 0.971137i
\(50\) 9.90816e26i 0.649341i
\(51\) 6.71506e26 1.26024e27i 0.320573 0.601630i
\(52\) 8.80974e26 1.52589e27i 0.308254 0.533912i
\(53\) −2.59209e27 1.49654e27i −0.668707 0.386078i 0.126879 0.991918i \(-0.459504\pi\)
−0.795587 + 0.605840i \(0.792837\pi\)
\(54\) −4.58668e27 6.34826e27i −0.877400 1.21438i
\(55\) 4.12324e27 0.588079
\(56\) 2.11474e27 2.69699e27i 0.226073 0.288318i
\(57\) 7.31684e27 4.56310e27i 0.589285 0.367504i
\(58\) −3.48217e27 6.03130e27i −0.212326 0.367759i
\(59\) 3.96593e27 + 2.28973e27i 0.183955 + 0.106207i 0.589150 0.808024i \(-0.299463\pi\)
−0.405194 + 0.914231i \(0.632796\pi\)
\(60\) −2.64127e28 + 8.99034e26i −0.936251 + 0.0318681i
\(61\) 5.30105e27 + 9.18168e27i 0.144240 + 0.249830i 0.929089 0.369856i \(-0.120593\pi\)
−0.784849 + 0.619686i \(0.787260\pi\)
\(62\) 3.25033e28i 0.681806i
\(63\) 5.09319e28 + 3.46151e28i 0.827067 + 0.562103i
\(64\) 1.12082e29 1.41467
\(65\) 3.27870e28 1.89296e28i 0.322915 0.186435i
\(66\) 5.16161e27 + 1.51643e29i 0.0398182 + 1.16982i
\(67\) −1.42979e29 + 2.47647e29i −0.867114 + 1.50189i −0.00218157 + 0.999998i \(0.500694\pi\)
−0.864933 + 0.501888i \(0.832639\pi\)
\(68\) 1.53562e29 8.86591e28i 0.734753 0.424210i
\(69\) −1.82773e29 2.93073e29i −0.692351 1.11017i
\(70\) 3.47726e29 1.39782e29i 1.04633 0.420614i
\(71\) 3.66193e29i 0.878165i −0.898447 0.439083i \(-0.855304\pi\)
0.898447 0.439083i \(-0.144696\pi\)
\(72\) −1.29941e28 1.90655e29i −0.0249130 0.365535i
\(73\) 2.00778e29 3.47757e29i 0.308709 0.534700i −0.669371 0.742928i \(-0.733436\pi\)
0.978080 + 0.208228i \(0.0667697\pi\)
\(74\) 1.09743e30 + 6.33602e29i 1.35728 + 0.783626i
\(75\) 3.83371e29 + 2.04276e29i 0.382507 + 0.203815i
\(76\) 1.07077e30 0.864329
\(77\) −4.44984e29 1.10695e30i −0.291402 0.724898i
\(78\) 7.37227e29 + 1.18213e30i 0.392724 + 0.629725i
\(79\) 3.48971e29 + 6.04436e29i 0.151620 + 0.262613i 0.931823 0.362913i \(-0.118218\pi\)
−0.780203 + 0.625526i \(0.784884\pi\)
\(80\) 1.27640e30 + 7.36932e29i 0.453469 + 0.261811i
\(81\) 3.40193e30 4.65881e29i 0.990753 0.135680i
\(82\) 4.74601e30 + 8.22032e30i 1.13581 + 1.96728i
\(83\) 6.05634e30i 1.19388i −0.802286 0.596940i \(-0.796383\pi\)
0.802286 0.596940i \(-0.203617\pi\)
\(84\) 3.09184e30 + 6.99389e30i 0.503209 + 1.13828i
\(85\) 3.81006e30 0.513132
\(86\) 1.32508e31 7.65038e30i 1.48002 0.854491i
\(87\) 3.05158e30 1.03870e29i 0.283280 0.00964229i
\(88\) −1.85111e30 + 3.20622e30i −0.143123 + 0.247896i
\(89\) 5.62421e30 3.24714e30i 0.362929 0.209537i −0.307436 0.951569i \(-0.599471\pi\)
0.670365 + 0.742032i \(0.266138\pi\)
\(90\) 9.19358e30 1.87656e31i 0.496140 1.01270i
\(91\) −8.62037e30 6.75931e30i −0.389819 0.305661i
\(92\) 4.28892e31i 1.62833i
\(93\) 1.25763e31 + 6.70119e30i 0.401631 + 0.214005i
\(94\) 1.67051e31 2.89340e31i 0.449575 0.778687i
\(95\) 1.99253e31 + 1.15039e31i 0.452718 + 0.261377i
\(96\) −3.44708e31 + 6.46924e31i −0.662386 + 1.24312i
\(97\) −1.17807e32 −1.91789 −0.958946 0.283588i \(-0.908475\pi\)
−0.958946 + 0.283588i \(0.908475\pi\)
\(98\) −7.50538e31 7.82672e31i −1.03694 1.08134i
\(99\) −5.97384e31 2.92669e31i −0.701602 0.343727i
\(100\) 2.69706e31 + 4.67145e31i 0.269706 + 0.467145i
\(101\) 2.68291e31 + 1.54898e31i 0.228804 + 0.132100i 0.610020 0.792386i \(-0.291161\pi\)
−0.381216 + 0.924486i \(0.624495\pi\)
\(102\) 4.76956e30 + 1.40125e32i 0.0347436 + 1.02073i
\(103\) −1.15452e32 1.99968e32i −0.719457 1.24614i −0.961215 0.275799i \(-0.911058\pi\)
0.241758 0.970336i \(-0.422276\pi\)
\(104\) 3.39934e31i 0.181494i
\(105\) −1.76051e31 + 1.63362e32i −0.0806510 + 0.748382i
\(106\) 2.93876e32 1.15683
\(107\) −4.45912e32 + 2.57447e32i −1.51046 + 0.872063i −0.510532 + 0.859859i \(0.670551\pi\)
−0.999926 + 0.0122039i \(0.996115\pi\)
\(108\) 3.89054e32 + 1.74453e32i 1.13561 + 0.509210i
\(109\) 6.34165e31 1.09841e32i 0.159727 0.276655i −0.775043 0.631908i \(-0.782272\pi\)
0.934770 + 0.355253i \(0.115605\pi\)
\(110\) −3.50602e32 + 2.02420e32i −0.763011 + 0.440525i
\(111\) −4.71413e32 + 2.93994e32i −0.887633 + 0.553567i
\(112\) 6.00908e31 4.22202e32i 0.0980211 0.688703i
\(113\) 7.18723e32i 1.01697i 0.861072 + 0.508483i \(0.169794\pi\)
−0.861072 + 0.508483i \(0.830206\pi\)
\(114\) −3.98141e32 + 7.47205e32i −0.489283 + 0.918252i
\(115\) 4.60783e32 7.98100e32i 0.492415 0.852888i
\(116\) 3.28351e32 + 1.89574e32i 0.305500 + 0.176380i
\(117\) −6.09388e32 + 4.15328e31i −0.494220 + 0.0336835i
\(118\) −4.49634e32 −0.318234
\(119\) −4.11185e32 1.02287e33i −0.254265 0.632515i
\(120\) 4.32639e32 2.69812e32i 0.234005 0.145936i
\(121\) −4.11304e32 7.12399e32i −0.194803 0.337410i
\(122\) −9.01503e32 5.20483e32i −0.374291 0.216097i
\(123\) −4.15913e33 + 1.41568e32i −1.51538 + 0.0515803i
\(124\) 8.84761e32 + 1.53245e33i 0.283191 + 0.490500i
\(125\) 3.83323e33i 1.07896i
\(126\) −6.03010e33 4.42970e32i −1.49416 0.109760i
\(127\) −2.48050e33 −0.541600 −0.270800 0.962636i \(-0.587288\pi\)
−0.270800 + 0.962636i \(0.587288\pi\)
\(128\) −3.19647e33 + 1.84548e33i −0.615617 + 0.355427i
\(129\) 2.28203e32 + 6.70435e33i 0.0388048 + 1.14004i
\(130\) −1.85860e33 + 3.21919e33i −0.279314 + 0.483786i
\(131\) 7.64969e33 4.41655e33i 1.01696 0.587141i 0.103737 0.994605i \(-0.466920\pi\)
0.913221 + 0.407464i \(0.133587\pi\)
\(132\) −4.37116e33 7.00906e33i −0.514534 0.825044i
\(133\) 9.38049e32 6.59079e33i 0.0978587 0.687561i
\(134\) 2.80768e34i 2.59819i
\(135\) 5.36543e33 + 7.42611e33i 0.440823 + 0.610128i
\(136\) −1.71051e33 + 2.96269e33i −0.124883 + 0.216304i
\(137\) −3.08334e33 1.78016e33i −0.200213 0.115593i 0.396542 0.918017i \(-0.370210\pi\)
−0.596755 + 0.802424i \(0.703543\pi\)
\(138\) 2.99290e34 + 1.59474e34i 1.72992 + 0.921773i
\(139\) 2.12789e34 1.09575 0.547877 0.836559i \(-0.315436\pi\)
0.547877 + 0.836559i \(0.315436\pi\)
\(140\) −1.25894e34 + 1.60557e34i −0.578039 + 0.737192i
\(141\) 7.75121e33 + 1.24289e34i 0.317588 + 0.509245i
\(142\) 1.79773e34 + 3.11376e34i 0.657826 + 1.13939i
\(143\) 1.02480e34 + 5.91668e33i 0.335168 + 0.193509i
\(144\) −1.32620e34 1.97368e34i −0.387981 0.577399i
\(145\) 4.07340e33 + 7.05533e33i 0.106676 + 0.184769i
\(146\) 3.94266e34i 0.925005i
\(147\) 4.57573e34 1.29039e34i 0.962461 0.271420i
\(148\) −6.89881e34 −1.30193
\(149\) 3.09429e34 1.78649e34i 0.524301 0.302705i −0.214392 0.976748i \(-0.568777\pi\)
0.738692 + 0.674043i \(0.235444\pi\)
\(150\) −4.26267e34 + 1.45093e33i −0.648966 + 0.0220895i
\(151\) −6.77348e34 + 1.17320e35i −0.927216 + 1.60599i −0.139258 + 0.990256i \(0.544472\pi\)
−0.787958 + 0.615729i \(0.788862\pi\)
\(152\) −1.78908e34 + 1.03292e34i −0.220359 + 0.127225i
\(153\) −5.52010e34 2.70439e34i −0.612187 0.299921i
\(154\) 9.21803e34 + 7.22795e34i 0.921099 + 0.722243i
\(155\) 3.80219e34i 0.342552i
\(156\) −6.69367e34 3.56666e34i −0.544090 0.289913i
\(157\) −7.45241e34 + 1.29080e35i −0.546893 + 0.947247i 0.451592 + 0.892225i \(0.350856\pi\)
−0.998485 + 0.0550222i \(0.982477\pi\)
\(158\) −5.93465e34 3.42637e34i −0.393443 0.227154i
\(159\) −6.05882e34 + 1.13708e35i −0.363106 + 0.681454i
\(160\) −1.95584e35 −1.06026
\(161\) −2.63991e35 3.75731e34i −1.29532 0.184359i
\(162\) −2.66397e35 + 2.06623e35i −1.18383 + 0.918204i
\(163\) −7.74946e34 1.34225e35i −0.312083 0.540544i 0.666730 0.745299i \(-0.267693\pi\)
−0.978813 + 0.204756i \(0.934360\pi\)
\(164\) −4.47525e35 2.58378e35i −1.63424 0.943528i
\(165\) −6.03797e33 1.77389e35i −0.0200054 0.587739i
\(166\) 2.97321e35 + 5.14975e35i 0.894326 + 1.54902i
\(167\) 1.64670e35i 0.449936i −0.974366 0.224968i \(-0.927772\pi\)
0.974366 0.224968i \(-0.0722277\pi\)
\(168\) −1.19126e35 8.70305e34i −0.295842 0.216134i
\(169\) −3.34127e35 −0.754612
\(170\) −3.23972e35 + 1.87045e35i −0.665770 + 0.384383i
\(171\) −2.07027e35 3.08101e35i −0.387338 0.576443i
\(172\) −4.16496e35 + 7.21392e35i −0.709832 + 1.22947i
\(173\) −3.19279e35 + 1.84336e35i −0.495945 + 0.286334i −0.727037 0.686598i \(-0.759103\pi\)
0.231093 + 0.972932i \(0.425770\pi\)
\(174\) −2.54378e35 + 1.58641e35i −0.360323 + 0.224713i
\(175\) 3.11164e35 1.25085e35i 0.402143 0.161658i
\(176\) 4.60674e35i 0.543490i
\(177\) 9.27007e34 1.73974e35i 0.0998874 0.187462i
\(178\) −3.18820e35 + 5.52212e35i −0.313925 + 0.543734i
\(179\) 4.13818e35 + 2.38918e35i 0.372530 + 0.215080i 0.674563 0.738217i \(-0.264332\pi\)
−0.302033 + 0.953297i \(0.597665\pi\)
\(180\) 7.73561e34 + 1.13500e36i 0.0636993 + 0.934625i
\(181\) −2.22060e35 −0.167345 −0.0836727 0.996493i \(-0.526665\pi\)
−0.0836727 + 0.996493i \(0.526665\pi\)
\(182\) 1.06483e36 + 1.51554e35i 0.734745 + 0.104574i
\(183\) 3.87250e35 2.41506e35i 0.244779 0.152655i
\(184\) 4.13733e35 + 7.16607e35i 0.239682 + 0.415141i
\(185\) −1.28376e36 7.41178e35i −0.681923 0.393709i
\(186\) −1.39835e36 + 4.75971e34i −0.681411 + 0.0231939i
\(187\) 5.95441e35 + 1.03133e36i 0.266301 + 0.461247i
\(188\) 1.81889e36i 0.746931i
\(189\) 1.41462e36 2.24187e36i 0.533643 0.845710i
\(190\) −2.25902e36 −0.783180
\(191\) −4.17222e36 + 2.40883e36i −1.32994 + 0.767843i −0.985291 0.170887i \(-0.945337\pi\)
−0.344652 + 0.938730i \(0.612003\pi\)
\(192\) −1.64130e35 4.82196e36i −0.0481247 1.41385i
\(193\) −3.03151e36 + 5.25073e36i −0.817978 + 1.41678i 0.0891913 + 0.996015i \(0.471572\pi\)
−0.907170 + 0.420765i \(0.861762\pi\)
\(194\) 1.00172e37 5.78345e36i 2.48840 1.43668i
\(195\) −8.62398e35 1.38284e36i −0.197312 0.316386i
\(196\) 5.66908e36 + 1.64709e36i 1.19513 + 0.347233i
\(197\) 3.71078e36i 0.721116i 0.932737 + 0.360558i \(0.117414\pi\)
−0.932737 + 0.360558i \(0.882586\pi\)
\(198\) 6.51638e36 4.44123e35i 1.16779 0.0795904i
\(199\) 5.73998e36 9.94194e36i 0.948989 1.64370i 0.201428 0.979503i \(-0.435442\pi\)
0.747561 0.664194i \(-0.231225\pi\)
\(200\) −9.01268e35 5.20347e35i −0.137523 0.0793987i
\(201\) 1.08636e37 + 5.78858e36i 1.53051 + 0.815521i
\(202\) −3.04172e36 −0.395820
\(203\) 1.45451e36 1.85499e36i 0.174897 0.223051i
\(204\) −4.03915e36 6.47669e36i −0.448960 0.719897i
\(205\) −5.55181e36 9.61601e36i −0.570654 0.988401i
\(206\) 1.96339e37 + 1.13356e37i 1.86694 + 1.07788i
\(207\) −1.23409e37 + 8.29239e36i −1.08598 + 0.729717i
\(208\) 2.11493e36 + 3.66317e36i 0.172299 + 0.298431i
\(209\) 7.19137e36i 0.542589i
\(210\) −6.52289e36 1.47551e37i −0.455965 1.03141i
\(211\) 3.65795e36 0.236984 0.118492 0.992955i \(-0.462194\pi\)
0.118492 + 0.992955i \(0.462194\pi\)
\(212\) −1.38555e37 + 7.99948e36i −0.832240 + 0.480494i
\(213\) −1.57543e37 + 5.36244e35i −0.877657 + 0.0298737i
\(214\) 2.52774e37 4.37818e37i 1.30651 2.26294i
\(215\) −1.55006e37 + 8.94930e36i −0.743591 + 0.429313i
\(216\) −8.18330e36 + 8.38220e35i −0.364476 + 0.0373334i
\(217\) 1.02076e37 4.10336e36i 0.422249 0.169740i
\(218\) 1.24531e37i 0.478601i
\(219\) −1.52551e37 8.12856e36i −0.544892 0.290341i
\(220\) 1.10200e37 1.90872e37i 0.365947 0.633839i
\(221\) 9.46960e36 + 5.46728e36i 0.292452 + 0.168848i
\(222\) 2.56516e37 4.81413e37i 0.737000 1.38315i
\(223\) −2.90875e37 −0.777729 −0.388864 0.921295i \(-0.627133\pi\)
−0.388864 + 0.921295i \(0.627133\pi\)
\(224\) 2.11076e37 + 5.25077e37i 0.525376 + 1.30694i
\(225\) 8.22692e36 1.67925e37i 0.190685 0.389219i
\(226\) −3.52839e37 6.11135e37i −0.761801 1.31948i
\(227\) 3.75258e36 + 2.16655e36i 0.0754947 + 0.0435869i 0.537272 0.843409i \(-0.319455\pi\)
−0.461777 + 0.886996i \(0.652788\pi\)
\(228\) −1.56801e36 4.60665e37i −0.0294030 0.863829i
\(229\) −6.81990e36 1.18124e37i −0.119237 0.206524i 0.800229 0.599695i \(-0.204711\pi\)
−0.919465 + 0.393171i \(0.871378\pi\)
\(230\) 9.04839e37i 1.47545i
\(231\) −4.69715e37 + 2.07650e37i −0.714566 + 0.315893i
\(232\) −7.31493e36 −0.103849
\(233\) 3.27396e37 1.89022e37i 0.433889 0.250506i −0.267113 0.963665i \(-0.586070\pi\)
0.701002 + 0.713159i \(0.252736\pi\)
\(234\) 4.97777e37 3.34479e37i 0.616001 0.413919i
\(235\) −1.95413e37 + 3.38466e37i −0.225875 + 0.391227i
\(236\) 2.11991e37 1.22393e37i 0.228942 0.132180i
\(237\) 2.54929e37 1.58985e37i 0.257303 0.160466i
\(238\) 8.51787e37 + 6.67895e37i 0.803711 + 0.630197i
\(239\) 1.47861e38i 1.30463i 0.757950 + 0.652313i \(0.226201\pi\)
−0.757950 + 0.652313i \(0.773799\pi\)
\(240\) 2.98350e37 5.59923e37i 0.246233 0.462113i
\(241\) −3.12589e36 + 5.41420e36i −0.0241380 + 0.0418082i −0.877842 0.478950i \(-0.841017\pi\)
0.853704 + 0.520758i \(0.174351\pi\)
\(242\) 6.99468e37 + 4.03838e37i 0.505501 + 0.291851i
\(243\) −2.50247e37 1.45675e38i −0.169305 0.985564i
\(244\) 5.66714e37 0.359027
\(245\) 8.77968e37 + 9.15559e37i 0.520980 + 0.543286i
\(246\) 3.46703e38 2.16219e38i 1.92751 1.20208i
\(247\) 3.30152e37 + 5.71840e37i 0.172014 + 0.297936i
\(248\) −2.95657e37 1.70698e37i −0.144398 0.0833683i
\(249\) −2.60555e38 + 8.86876e36i −1.19319 + 0.0406138i
\(250\) −1.88182e38 3.25942e38i −0.808237 1.39991i
\(251\) 2.42203e38i 0.975889i 0.872875 + 0.487945i \(0.162253\pi\)
−0.872875 + 0.487945i \(0.837747\pi\)
\(252\) 2.96362e38 1.43258e38i 1.12051 0.541640i
\(253\) 2.88047e38 1.02220
\(254\) 2.10918e38 1.21774e38i 0.702707 0.405708i
\(255\) −5.57936e36 1.63916e38i −0.0174559 0.512835i
\(256\) −5.94955e37 + 1.03049e38i −0.174842 + 0.302835i
\(257\) 1.80422e38 1.04167e38i 0.498150 0.287607i −0.229799 0.973238i \(-0.573807\pi\)
0.727949 + 0.685631i \(0.240474\pi\)
\(258\) −3.48537e38 5.58872e38i −0.904345 1.45010i
\(259\) −6.04371e37 + 4.24635e38i −0.147403 + 1.03567i
\(260\) 2.02369e38i 0.464056i
\(261\) −8.93731e36 1.31132e38i −0.0192734 0.282788i
\(262\) −4.33639e38 + 7.51084e38i −0.879645 + 1.52359i
\(263\) −6.53343e38 3.77208e38i −1.24695 0.719927i −0.276451 0.961028i \(-0.589158\pi\)
−0.970500 + 0.241101i \(0.922492\pi\)
\(264\) 1.40648e38 + 7.49430e37i 0.252622 + 0.134607i
\(265\) −3.43772e38 −0.581214
\(266\) 2.43795e38 + 6.06470e38i 0.388078 + 0.965391i
\(267\) −1.47934e38 2.37209e38i −0.221762 0.355591i
\(268\) 7.64268e38 + 1.32375e39i 1.07917 + 1.86917i
\(269\) 8.97881e38 + 5.18392e38i 1.19449 + 0.689639i 0.959322 0.282316i \(-0.0911026\pi\)
0.235168 + 0.971955i \(0.424436\pi\)
\(270\) −8.20791e38 3.68044e38i −1.02899 0.461403i
\(271\) −4.65698e38 8.06613e38i −0.550295 0.953140i −0.998253 0.0590848i \(-0.981182\pi\)
0.447958 0.894055i \(-0.352152\pi\)
\(272\) 4.25684e38i 0.474225i
\(273\) −2.78174e38 + 3.80762e38i −0.292223 + 0.399992i
\(274\) 3.49571e38 0.346358
\(275\) −3.13738e38 + 1.81137e38i −0.293254 + 0.169310i
\(276\) −1.84517e39 + 6.28060e37i −1.62739 + 0.0553931i
\(277\) −6.06934e38 + 1.05124e39i −0.505202 + 0.875036i 0.494780 + 0.869019i \(0.335249\pi\)
−0.999982 + 0.00601765i \(0.998085\pi\)
\(278\) −1.80936e39 + 1.04464e39i −1.42170 + 0.820820i
\(279\) 2.69881e38 5.50870e38i 0.200219 0.408678i
\(280\) 5.54661e37 3.89708e38i 0.0388597 0.273030i
\(281\) 2.98120e39i 1.97283i 0.164276 + 0.986414i \(0.447471\pi\)
−0.164276 + 0.986414i \(0.552529\pi\)
\(282\) −1.26926e39 6.76311e38i −0.793530 0.422825i
\(283\) 1.38685e39 2.40210e39i 0.819309 1.41908i −0.0868830 0.996219i \(-0.527691\pi\)
0.906192 0.422866i \(-0.138976\pi\)
\(284\) −1.69517e39 9.78707e38i −0.946498 0.546461i
\(285\) 4.65740e38 8.74069e38i 0.245825 0.461347i
\(286\) −1.16186e39 −0.579824
\(287\) −1.98242e39 + 2.52824e39i −0.935590 + 1.19319i
\(288\) 2.83366e39 + 1.38826e39i 1.26494 + 0.619714i
\(289\) −6.33742e38 1.09767e39i −0.267637 0.463562i
\(290\) −6.92727e38 3.99946e38i −0.276818 0.159821i
\(291\) 1.72514e38 + 5.06828e39i 0.0652434 + 1.91678i
\(292\) −1.07322e39 1.85887e39i −0.384204 0.665461i
\(293\) 1.04161e39i 0.353038i −0.984297 0.176519i \(-0.943516\pi\)
0.984297 0.176519i \(-0.0564837\pi\)
\(294\) −3.25729e39 + 3.34356e39i −1.04544 + 1.07313i
\(295\) 5.25975e38 0.159887
\(296\) 1.15268e39 6.65497e38i 0.331925 0.191637i
\(297\) −1.17164e39 + 2.61291e39i −0.319661 + 0.712889i
\(298\) −1.75406e39 + 3.03812e39i −0.453508 + 0.785498i
\(299\) 2.29048e39 1.32241e39i 0.561290 0.324061i
\(300\) 1.97025e39 1.22873e39i 0.457700 0.285442i
\(301\) 4.07543e39 + 3.19559e39i 0.897656 + 0.703861i
\(302\) 1.33011e40i 2.77828i
\(303\) 6.27110e38 1.17692e39i 0.124240 0.233165i
\(304\) −1.28529e39 + 2.22618e39i −0.241559 + 0.418392i
\(305\) 1.05456e39 + 6.08853e38i 0.188051 + 0.108571i
\(306\) 6.02143e39 4.10390e38i 1.01896 0.0694471i
\(307\) −4.99237e39 −0.801850 −0.400925 0.916111i \(-0.631311\pi\)
−0.400925 + 0.916111i \(0.631311\pi\)
\(308\) −6.31356e39 8.98591e38i −0.962638 0.137010i
\(309\) −8.43393e39 + 5.25977e39i −1.22094 + 0.761432i
\(310\) −1.86659e39 3.23303e39i −0.256603 0.444449i
\(311\) 4.34286e39 + 2.50735e39i 0.567035 + 0.327378i 0.755964 0.654613i \(-0.227168\pi\)
−0.188929 + 0.981991i \(0.560502\pi\)
\(312\) 1.46246e39 4.97791e37i 0.181389 0.00617410i
\(313\) −3.51613e39 6.09012e39i −0.414339 0.717657i 0.581020 0.813890i \(-0.302654\pi\)
−0.995359 + 0.0962329i \(0.969321\pi\)
\(314\) 1.46343e40i 1.63869i
\(315\) 7.05393e39 + 5.18180e38i 0.750693 + 0.0551457i
\(316\) 3.73072e39 0.377397
\(317\) 5.72097e39 3.30300e39i 0.550201 0.317659i −0.199002 0.979999i \(-0.563770\pi\)
0.749203 + 0.662340i \(0.230437\pi\)
\(318\) −4.30345e38 1.26431e40i −0.0393534 1.15616i
\(319\) −1.27319e39 + 2.20523e39i −0.110724 + 0.191780i
\(320\) 1.11485e40 6.43660e39i 0.922183 0.532423i
\(321\) 1.17288e40 + 1.88069e40i 0.922941 + 1.47992i
\(322\) 2.42919e40 9.76511e39i 1.81873 0.731111i
\(323\) 6.64515e39i 0.473439i
\(324\) 6.93554e39 1.69933e40i 0.470284 1.15228i
\(325\) −1.66318e39 + 2.88071e39i −0.107351 + 0.185937i
\(326\) 1.31788e40 + 7.60880e39i 0.809833 + 0.467557i
\(327\) −4.81841e39 2.56745e39i −0.281929 0.150223i
\(328\) 9.96984e39 0.555529
\(329\) 1.11956e40 + 1.59344e39i 0.594173 + 0.0845669i
\(330\) 9.22189e39 + 1.47871e40i 0.466226 + 0.747584i
\(331\) 4.50032e39 + 7.79479e39i 0.216768 + 0.375454i 0.953818 0.300385i \(-0.0971151\pi\)
−0.737050 + 0.675838i \(0.763782\pi\)
\(332\) −2.80359e40 1.61865e40i −1.28678 0.742923i
\(333\) 1.33385e40 + 1.98505e40i 0.583443 + 0.868288i
\(334\) 8.08404e39 + 1.40020e40i 0.337043 + 0.583775i
\(335\) 3.28438e40i 1.30538i
\(336\) −1.82519e40 1.96695e39i −0.691639 0.0745359i
\(337\) −3.08619e40 −1.11518 −0.557590 0.830117i \(-0.688274\pi\)
−0.557590 + 0.830117i \(0.688274\pi\)
\(338\) 2.84110e40 1.64031e40i 0.979082 0.565273i
\(339\) 3.09208e40 1.05248e39i 1.01638 0.0345955i
\(340\) 1.01830e40 1.76374e40i 0.319309 0.553060i
\(341\) −1.02920e40 + 5.94211e39i −0.307915 + 0.177775i
\(342\) 3.27291e40 + 1.60346e40i 0.934365 + 0.457762i
\(343\) 1.51046e40 3.34513e40i 0.411531 0.911396i
\(344\) 1.60710e40i 0.417934i
\(345\) −3.50105e40 1.86550e40i −0.869145 0.463116i
\(346\) 1.80990e40 3.13484e40i 0.428980 0.743016i
\(347\) −4.82940e40 2.78825e40i −1.09300 0.631045i −0.158628 0.987338i \(-0.550707\pi\)
−0.934374 + 0.356293i \(0.884041\pi\)
\(348\) 7.67498e39 1.44039e40i 0.165886 0.311323i
\(349\) −8.30787e40 −1.71507 −0.857537 0.514423i \(-0.828006\pi\)
−0.857537 + 0.514423i \(0.828006\pi\)
\(350\) −2.03177e40 + 2.59119e40i −0.400670 + 0.510987i
\(351\) 2.67919e39 + 2.61562e40i 0.0504765 + 0.492788i
\(352\) −3.05661e40 5.29420e40i −0.550247 0.953055i
\(353\) −6.80029e40 3.92615e40i −1.16986 0.675416i −0.216209 0.976347i \(-0.569369\pi\)
−0.953646 + 0.300931i \(0.902703\pi\)
\(354\) 6.58433e38 + 1.93441e40i 0.0108258 + 0.318050i
\(355\) −2.10296e40 3.64243e40i −0.330504 0.572450i
\(356\) 3.47139e40i 0.521559i
\(357\) −4.34037e40 + 1.91878e40i −0.623499 + 0.275635i
\(358\) −4.69163e40 −0.644459
\(359\) 4.02139e40 2.32175e40i 0.528281 0.305003i −0.212035 0.977262i \(-0.568009\pi\)
0.740316 + 0.672259i \(0.234676\pi\)
\(360\) −1.22414e40 1.82178e40i −0.153812 0.228905i
\(361\) 2.15352e40 3.73001e40i 0.258842 0.448327i
\(362\) 1.88819e40 1.09015e40i 0.217125 0.125357i
\(363\) −3.00464e40 + 1.87382e40i −0.330587 + 0.206169i
\(364\) −5.43293e40 + 2.18398e40i −0.572021 + 0.229947i
\(365\) 4.61207e40i 0.464740i
\(366\) −2.10720e40 + 3.95464e40i −0.203239 + 0.381426i
\(367\) −9.22717e40 + 1.59819e41i −0.851945 + 1.47561i 0.0275062 + 0.999622i \(0.491243\pi\)
−0.879451 + 0.475990i \(0.842090\pi\)
\(368\) 8.91687e40 + 5.14816e40i 0.788220 + 0.455079i
\(369\) 1.21810e40 + 1.78726e41i 0.103101 + 1.51274i
\(370\) 1.45545e41 1.17970
\(371\) 3.71002e40 + 9.22912e40i 0.288001 + 0.716436i
\(372\) 6.46332e40 4.03081e40i 0.480583 0.299713i
\(373\) 8.21411e40 + 1.42273e41i 0.585086 + 1.01340i 0.994865 + 0.101213i \(0.0322724\pi\)
−0.409779 + 0.912185i \(0.634394\pi\)
\(374\) −1.01261e41 5.84633e40i −0.691032 0.398968i
\(375\) 1.64912e41 5.61328e39i 1.07833 0.0367043i
\(376\) −1.75460e40 3.03905e40i −0.109944 0.190429i
\(377\) 2.33806e40i 0.140409i
\(378\) −1.02270e40 + 2.60075e41i −0.0588681 + 1.49703i
\(379\) 8.01225e40 0.442107 0.221053 0.975262i \(-0.429050\pi\)
0.221053 + 0.975262i \(0.429050\pi\)
\(380\) 1.06507e41 6.14918e40i 0.563431 0.325297i
\(381\) 3.63238e39 + 1.06715e41i 0.0184243 + 0.541287i
\(382\) 2.36511e41 4.09649e41i 1.15037 1.99250i
\(383\) −2.58542e40 + 1.49269e40i −0.120601 + 0.0696291i −0.559087 0.829109i \(-0.688848\pi\)
0.438486 + 0.898738i \(0.355515\pi\)
\(384\) 8.40768e40 + 1.34815e41i 0.376163 + 0.603170i
\(385\) −1.07831e41 8.45515e40i −0.462778 0.362869i
\(386\) 5.95297e41i 2.45096i
\(387\) 2.88099e41 1.96354e40i 1.13806 0.0775647i
\(388\) −3.14858e41 + 5.45350e41i −1.19346 + 2.06713i
\(389\) −1.31605e41 7.59825e40i −0.478719 0.276388i 0.241164 0.970484i \(-0.422471\pi\)
−0.719882 + 0.694096i \(0.755804\pi\)
\(390\) 1.41217e41 + 7.52462e40i 0.493007 + 0.262694i
\(391\) 2.66168e41 0.891925
\(392\) −1.10610e41 + 2.71669e40i −0.355808 + 0.0873902i
\(393\) −2.01210e41 3.22636e41i −0.621397 0.996396i
\(394\) −1.82171e41 3.15530e41i −0.540182 0.935622i
\(395\) 6.94226e40 + 4.00812e40i 0.197673 + 0.114127i
\(396\) −2.95142e41 + 1.98319e41i −0.807063 + 0.542303i
\(397\) 8.69261e40 + 1.50560e41i 0.228298 + 0.395424i 0.957304 0.289084i \(-0.0933506\pi\)
−0.729006 + 0.684508i \(0.760017\pi\)
\(398\) 1.12716e42i 2.84352i
\(399\) −2.84921e41 3.07052e40i −0.690492 0.0744124i
\(400\) −1.29496e41 −0.301505
\(401\) −5.45102e41 + 3.14715e41i −1.21946 + 0.704056i −0.964803 0.262975i \(-0.915296\pi\)
−0.254658 + 0.967031i \(0.581963\pi\)
\(402\) −1.20792e42 + 4.11150e40i −2.59669 + 0.0883860i
\(403\) −5.45599e40 + 9.45005e40i −0.112718 + 0.195233i
\(404\) 1.43410e41 8.27975e40i 0.284758 0.164405i
\(405\) 3.11627e41 2.41705e41i 0.594779 0.461323i
\(406\) −3.26124e40 + 2.29136e41i −0.0598364 + 0.420414i
\(407\) 4.63329e41i 0.817295i
\(408\) 1.29965e41 + 6.92507e40i 0.220427 + 0.117452i
\(409\) −1.56177e41 + 2.70507e41i −0.254709 + 0.441170i −0.964817 0.262924i \(-0.915313\pi\)
0.710107 + 0.704094i \(0.248646\pi\)
\(410\) 9.44147e41 + 5.45104e41i 1.48081 + 0.854944i
\(411\) −7.20707e40 + 1.35257e41i −0.108715 + 0.204029i
\(412\) −1.23425e42 −1.79080
\(413\) −5.67637e40 1.41207e41i −0.0792264 0.197085i
\(414\) 6.42258e41 1.31095e42i 0.862390 1.76028i
\(415\) −3.47801e41 6.02410e41i −0.449326 0.778256i
\(416\) −4.86108e41 2.80655e41i −0.604282 0.348882i
\(417\) −3.11604e40 9.15458e41i −0.0372757 1.09512i
\(418\) −3.53042e41 6.11487e41i −0.406449 0.703990i
\(419\) 1.38787e42i 1.53788i 0.639319 + 0.768941i \(0.279216\pi\)
−0.639319 + 0.768941i \(0.720784\pi\)
\(420\) 7.09181e41 + 5.18108e41i 0.756429 + 0.552627i
\(421\) −7.94917e41 −0.816222 −0.408111 0.912932i \(-0.633812\pi\)
−0.408111 + 0.912932i \(0.633812\pi\)
\(422\) −3.11038e41 + 1.79578e41i −0.307478 + 0.177523i
\(423\) 5.23363e41 3.51672e41i 0.498147 0.334728i
\(424\) 1.54335e41 2.67316e41i 0.141452 0.245003i
\(425\) −2.89908e41 + 1.67378e41i −0.255880 + 0.147733i
\(426\) 1.31327e42 8.19013e41i 1.11635 0.696205i
\(427\) 4.96470e40 3.48823e41i 0.0406488 0.285601i
\(428\) 2.75227e42i 2.17065i
\(429\) 2.39539e41 4.49551e41i 0.181995 0.341556i
\(430\) 8.78686e41 1.52193e42i 0.643189 1.11404i
\(431\) −5.08216e41 2.93419e41i −0.358436 0.206943i 0.309958 0.950750i \(-0.399685\pi\)
−0.668395 + 0.743807i \(0.733018\pi\)
\(432\) −8.29691e41 + 5.99459e41i −0.563867 + 0.407399i
\(433\) 3.73863e41 0.244853 0.122427 0.992478i \(-0.460932\pi\)
0.122427 + 0.992478i \(0.460932\pi\)
\(434\) −6.66515e41 + 8.50028e41i −0.420702 + 0.536534i
\(435\) 2.97568e41 1.85576e41i 0.181033 0.112900i
\(436\) −3.38981e41 5.87132e41i −0.198789 0.344312i
\(437\) 1.39197e42 + 8.03655e41i 0.786914 + 0.454325i
\(438\) 1.69621e42 5.77354e40i 0.924470 0.0314671i
\(439\) 8.87832e41 + 1.53777e42i 0.466550 + 0.808088i 0.999270 0.0382032i \(-0.0121634\pi\)
−0.532720 + 0.846292i \(0.678830\pi\)
\(440\) 4.25220e41i 0.215462i
\(441\) −6.22153e41 1.94967e42i −0.304004 0.952671i
\(442\) −1.07361e42 −0.505929
\(443\) 2.14856e42 1.24047e42i 0.976533 0.563802i 0.0753114 0.997160i \(-0.476005\pi\)
0.901222 + 0.433358i \(0.142672\pi\)
\(444\) 1.01025e41 + 2.96799e42i 0.0442894 + 1.30117i
\(445\) 3.72951e41 6.45970e41i 0.157722 0.273182i
\(446\) 2.47333e42 1.42798e42i 1.00908 0.582590i
\(447\) −8.13891e41 1.30506e42i −0.320366 0.513700i
\(448\) −2.93117e42 2.29836e42i −1.11325 0.872910i
\(449\) 1.38256e42i 0.506691i −0.967376 0.253345i \(-0.918469\pi\)
0.967376 0.253345i \(-0.0815309\pi\)
\(450\) 1.24843e41 + 1.83175e42i 0.0441534 + 0.647838i
\(451\) 1.73529e42 3.00561e42i 0.592307 1.02591i
\(452\) 3.32709e42 + 1.92090e42i 1.09610 + 0.632834i
\(453\) 5.14652e42 + 2.74227e42i 1.63660 + 0.872046i
\(454\) −4.25446e41 −0.130602
\(455\) −1.24562e42 1.77285e41i −0.369150 0.0525401i
\(456\) 4.70581e41 + 7.54567e41i 0.134647 + 0.215904i
\(457\) −1.84898e42 3.20253e42i −0.510827 0.884778i −0.999921 0.0125472i \(-0.996006\pi\)
0.489094 0.872231i \(-0.337327\pi\)
\(458\) 1.15980e42 + 6.69612e41i 0.309411 + 0.178639i
\(459\) −1.08264e42 + 2.41445e42i −0.278922 + 0.622035i
\(460\) −2.46303e42 4.26609e42i −0.612836 1.06146i
\(461\) 4.40402e42i 1.05836i −0.848509 0.529182i \(-0.822499\pi\)
0.848509 0.529182i \(-0.177501\pi\)
\(462\) 2.97461e42 4.07161e42i 0.690491 0.945136i
\(463\) 5.29968e42 1.18837 0.594187 0.804327i \(-0.297474\pi\)
0.594187 + 0.804327i \(0.297474\pi\)
\(464\) −7.88266e41 + 4.55105e41i −0.170759 + 0.0985880i
\(465\) 1.63577e42 5.56784e40i 0.342354 0.0116530i
\(466\) −1.85591e42 + 3.21453e42i −0.375304 + 0.650045i
\(467\) 6.24330e42 3.60457e42i 1.21996 0.704342i 0.255047 0.966929i \(-0.417909\pi\)
0.964908 + 0.262587i \(0.0845756\pi\)
\(468\) −1.43642e42 + 2.93197e42i −0.271236 + 0.553637i
\(469\) 8.81747e42 3.54454e42i 1.60908 0.646836i
\(470\) 3.83733e42i 0.676804i
\(471\) 5.66237e42 + 3.01714e42i 0.965303 + 0.514353i
\(472\) −2.36134e41 + 4.08996e41i −0.0389123 + 0.0673981i
\(473\) −4.84492e42 2.79722e42i −0.771806 0.445603i
\(474\) −1.38718e42 + 2.60337e42i −0.213638 + 0.400942i
\(475\) −2.02149e42 −0.301006
\(476\) −5.83401e42 8.30339e41i −0.839955 0.119548i
\(477\) 4.98064e42 + 2.44010e42i 0.693412 + 0.339714i
\(478\) −7.25884e42 1.25727e43i −0.977284 1.69271i
\(479\) −1.18745e42 6.85577e41i −0.154614 0.0892665i 0.420697 0.907201i \(-0.361786\pi\)
−0.575311 + 0.817935i \(0.695119\pi\)
\(480\) 2.86408e41 + 8.41437e42i 0.0360683 + 1.05965i
\(481\) −2.12712e42 3.68428e42i −0.259102 0.448778i
\(482\) 6.13830e41i 0.0723262i
\(483\) −1.22988e42 + 1.14124e43i −0.140188 + 1.30084i
\(484\) −4.39709e42 −0.484886
\(485\) −1.17180e43 + 6.76539e42i −1.25022 + 0.721814i
\(486\) 9.27941e42 + 1.11583e43i 0.957944 + 1.15191i
\(487\) −6.98195e42 + 1.20931e43i −0.697451 + 1.20802i 0.271897 + 0.962326i \(0.412349\pi\)
−0.969347 + 0.245694i \(0.920984\pi\)
\(488\) −9.46884e41 + 5.46684e41i −0.0915334 + 0.0528469i
\(489\) −5.66111e42 + 3.53052e42i −0.529614 + 0.330291i
\(490\) −1.19601e43 3.47489e42i −1.08292 0.314633i
\(491\) 1.29382e43i 1.13389i −0.823755 0.566946i \(-0.808125\pi\)
0.823755 0.566946i \(-0.191875\pi\)
\(492\) −1.04606e43 + 1.96317e43i −0.887388 + 1.66539i
\(493\) −1.17649e42 + 2.03773e42i −0.0966130 + 0.167339i
\(494\) −5.61461e42 3.24159e42i −0.446363 0.257708i
\(495\) −7.62276e42 + 5.19529e41i −0.586718 + 0.0399877i
\(496\) −4.24805e42 −0.316579
\(497\) −7.50918e42 + 9.57669e42i −0.541864 + 0.691056i
\(498\) 2.17197e43 1.35454e43i 1.51770 0.946503i
\(499\) −7.73250e42 1.33931e43i −0.523253 0.906300i −0.999634 0.0270611i \(-0.991385\pi\)
0.476381 0.879239i \(-0.341948\pi\)
\(500\) 1.77447e43 + 1.02449e43i 1.16291 + 0.671409i
\(501\) −7.08439e42 + 2.41138e41i −0.449675 + 0.0153060i
\(502\) −1.18904e43 2.05947e43i −0.731030 1.26618i
\(503\) 4.87008e41i 0.0290034i 0.999895 + 0.0145017i \(0.00461619\pi\)
−0.999895 + 0.0145017i \(0.995384\pi\)
\(504\) −3.56977e42 + 5.25248e42i −0.205945 + 0.303023i
\(505\) 3.55816e42 0.198867
\(506\) −2.44928e43 + 1.41409e43i −1.32627 + 0.765720i
\(507\) 4.89287e41 + 1.43747e43i 0.0256706 + 0.754175i
\(508\) −6.62950e42 + 1.14826e43i −0.337025 + 0.583744i
\(509\) −4.57995e41 + 2.64424e41i −0.0225619 + 0.0130261i −0.511239 0.859439i \(-0.670813\pi\)
0.488677 + 0.872465i \(0.337480\pi\)
\(510\) 8.52144e42 + 1.36639e43i 0.406809 + 0.652309i
\(511\) −1.23819e43 + 4.97739e42i −0.572864 + 0.230286i
\(512\) 2.75357e43i 1.23474i
\(513\) −1.29519e43 + 9.35787e42i −0.562932 + 0.406724i
\(514\) −1.02276e43 + 1.77147e43i −0.430888 + 0.746320i
\(515\) −2.29674e43 1.32602e43i −0.937986 0.541546i
\(516\) 3.16455e43 + 1.68620e43i 1.25290 + 0.667597i
\(517\) −1.22158e43 −0.468891
\(518\) −1.57074e43 3.90740e43i −0.584557 1.45416i
\(519\) 8.39801e42 + 1.34660e43i 0.303039 + 0.485917i
\(520\) 1.95216e42 + 3.38124e42i 0.0683065 + 0.118310i
\(521\) 4.73706e43 + 2.73494e43i 1.60733 + 0.927993i 0.989964 + 0.141317i \(0.0451336\pi\)
0.617366 + 0.786676i \(0.288200\pi\)
\(522\) 7.19755e42 + 1.07115e43i 0.236841 + 0.352470i
\(523\) 1.70800e43 + 2.95834e43i 0.545080 + 0.944106i 0.998602 + 0.0528611i \(0.0168341\pi\)
−0.453522 + 0.891245i \(0.649833\pi\)
\(524\) 4.72157e43i 1.46145i
\(525\) −5.83704e42 1.32037e43i −0.175244 0.396411i
\(526\) 7.40722e43 2.15717
\(527\) −9.51031e42 + 5.49078e42i −0.268673 + 0.155119i
\(528\) 1.98190e43 6.74600e41i 0.543175 0.0184886i
\(529\) 1.33856e43 2.31845e43i 0.355915 0.616462i
\(530\) 2.92311e43 1.68766e43i 0.754105 0.435382i
\(531\) −7.62044e42 3.73339e42i −0.190751 0.0934525i
\(532\) −2.80028e43 2.19573e43i −0.680167 0.533326i
\(533\) 3.18665e43i 0.751101i
\(534\) 2.42240e43 + 1.29076e43i 0.554098 + 0.295246i
\(535\) −2.95692e43 + 5.12153e43i −0.656415 + 1.13694i
\(536\) −2.55393e43 1.47451e43i −0.550265 0.317696i
\(537\) 9.67270e42 1.81531e43i 0.202283 0.379631i
\(538\) −1.01797e44 −2.06641
\(539\) −1.10620e43 + 3.80739e43i −0.217978 + 0.750252i
\(540\) 4.87166e43 4.99007e42i 0.931917 0.0954568i
\(541\) 2.93265e43 + 5.07950e43i 0.544633 + 0.943332i 0.998630 + 0.0523286i \(0.0166643\pi\)
−0.453997 + 0.891003i \(0.650002\pi\)
\(542\) 7.91972e43 + 4.57245e43i 1.42798 + 0.824443i
\(543\) 3.25180e41 + 9.55343e42i 0.00569280 + 0.167249i
\(544\) −2.82444e43 4.89208e43i −0.480121 0.831594i
\(545\) 1.45674e43i 0.240458i
\(546\) 4.96081e42 4.60327e43i 0.0795189 0.737877i
\(547\) 2.80343e43 0.436408 0.218204 0.975903i \(-0.429980\pi\)
0.218204 + 0.975903i \(0.429980\pi\)
\(548\) −1.64814e43 + 9.51553e42i −0.249175 + 0.143861i
\(549\) −1.09571e43 1.63065e43i −0.160893 0.239444i
\(550\) 1.77849e43 3.08043e43i 0.253658 0.439348i
\(551\) −1.23052e43 + 7.10443e42i −0.170476 + 0.0984246i
\(552\) 3.02239e43 1.88489e43i 0.406747 0.253666i
\(553\) 3.26830e42 2.29632e43i 0.0427287 0.300214i
\(554\) 1.19184e44i 1.51377i
\(555\) −3.00069e43 + 5.63150e43i −0.370283 + 0.694922i
\(556\) 5.68712e43 9.85039e43i 0.681861 1.18102i
\(557\) 1.83601e43 + 1.06002e43i 0.213891 + 0.123490i 0.603118 0.797652i \(-0.293925\pi\)
−0.389227 + 0.921142i \(0.627258\pi\)
\(558\) 4.09542e42 + 6.00899e43i 0.0463609 + 0.680228i
\(559\) −5.13675e43 −0.565066
\(560\) −1.82690e43 4.54463e43i −0.195301 0.485836i
\(561\) 4.34979e43 2.71272e43i 0.451921 0.281838i
\(562\) −1.46354e44 2.53493e44i −1.47783 2.55967i
\(563\) 1.59999e44 + 9.23754e43i 1.57030 + 0.906614i 0.996131 + 0.0878771i \(0.0280083\pi\)
0.574169 + 0.818736i \(0.305325\pi\)
\(564\) 7.82518e43 2.66353e42i 0.746498 0.0254093i
\(565\) 4.12746e43 + 7.14897e43i 0.382743 + 0.662931i
\(566\) 2.72336e44i 2.45495i
\(567\) −9.85208e43 5.75765e43i −0.863374 0.504564i
\(568\) 3.77646e43 0.321745
\(569\) −1.63831e44 + 9.45881e43i −1.35707 + 0.783502i −0.989227 0.146387i \(-0.953235\pi\)
−0.367839 + 0.929890i \(0.619902\pi\)
\(570\) 3.30805e42 + 9.71870e43i 0.0266425 + 0.782727i
\(571\) 5.17070e43 8.95592e43i 0.404923 0.701347i −0.589390 0.807849i \(-0.700632\pi\)
0.994312 + 0.106502i \(0.0339651\pi\)
\(572\) 5.47786e43 3.16265e43i 0.417133 0.240832i
\(573\) 1.09742e44 + 1.75969e44i 0.812641 + 1.30305i
\(574\) 4.44488e43 3.12300e44i 0.320088 2.24896i
\(575\) 8.09700e43i 0.567072i
\(576\) −2.07209e44 + 1.41223e43i −1.41140 + 0.0961937i
\(577\) −3.46963e43 + 6.00957e43i −0.229863 + 0.398135i −0.957767 0.287544i \(-0.907161\pi\)
0.727904 + 0.685679i \(0.240495\pi\)
\(578\) 1.07775e44 + 6.22239e43i 0.694500 + 0.400970i
\(579\) 2.30335e44 + 1.22732e44i 1.44379 + 0.769308i
\(580\) 4.35471e43 0.265529
\(581\) −1.24192e44 + 1.58386e44i −0.736673 + 0.939502i
\(582\) −2.63483e44 4.22490e44i −1.52050 2.43808i
\(583\) −5.37251e43 9.30545e43i −0.301634 0.522445i
\(584\) 3.58633e43 + 2.07057e43i 0.195905 + 0.113106i
\(585\) −5.82292e43 + 3.91269e43i −0.309490 + 0.207961i
\(586\) 5.11350e43 + 8.85684e43i 0.264458 + 0.458054i
\(587\) 2.87420e44i 1.44646i 0.690605 + 0.723232i \(0.257344\pi\)
−0.690605 + 0.723232i \(0.742656\pi\)
\(588\) 6.25593e43 2.46306e44i 0.306376 1.20625i
\(589\) −6.63143e43 −0.316055
\(590\) −4.47240e43 + 2.58214e43i −0.207448 + 0.119770i
\(591\) 1.59644e44 5.43397e42i 0.720699 0.0245311i
\(592\) 8.28091e43 1.43430e44i 0.363857 0.630219i
\(593\) 9.85625e43 5.69051e43i 0.421538 0.243375i −0.274197 0.961674i \(-0.588412\pi\)
0.695735 + 0.718298i \(0.255079\pi\)
\(594\) −2.86494e43 2.79696e44i −0.119270 1.16440i
\(595\) −9.96408e43 7.81293e43i −0.403800 0.316623i
\(596\) 1.90987e44i 0.753464i
\(597\) −4.36126e44 2.32386e44i −1.67503 0.892524i
\(598\) −1.29841e44 + 2.24891e44i −0.485503 + 0.840915i
\(599\) 3.98729e44 + 2.30207e44i 1.45161 + 0.838086i 0.998573 0.0534073i \(-0.0170082\pi\)
0.453034 + 0.891493i \(0.350341\pi\)
\(600\) −2.10665e43 + 3.95361e43i −0.0746744 + 0.140144i
\(601\) 2.31605e44 0.799386 0.399693 0.916649i \(-0.369117\pi\)
0.399693 + 0.916649i \(0.369117\pi\)
\(602\) −5.03416e44 7.16498e43i −1.69193 0.240808i
\(603\) 2.33127e44 4.75849e44i 0.762983 1.55737i
\(604\) 3.62064e44 + 6.27112e44i 1.15397 + 1.99873i
\(605\) −8.18228e43 4.72404e43i −0.253973 0.146632i
\(606\) 4.45422e42 + 1.30860e44i 0.0134651 + 0.395591i
\(607\) 1.78005e43 + 3.08314e43i 0.0524099 + 0.0907766i 0.891040 0.453925i \(-0.149976\pi\)
−0.838630 + 0.544701i \(0.816643\pi\)
\(608\) 3.41119e44i 0.978247i
\(609\) −8.19349e43 5.98594e43i −0.228872 0.167208i
\(610\) −1.19560e44 −0.325319
\(611\) −9.71368e43 + 5.60820e43i −0.257469 + 0.148650i
\(612\) −2.72724e44 + 1.83256e44i −0.704208 + 0.473189i
\(613\) −1.47335e44 + 2.55191e44i −0.370628 + 0.641946i −0.989662 0.143418i \(-0.954191\pi\)
0.619035 + 0.785364i \(0.287524\pi\)
\(614\) 4.24505e44 2.45088e44i 1.04037 0.600659i
\(615\) −4.05568e44 + 2.52930e44i −0.968417 + 0.603947i
\(616\) 1.14157e44 4.58901e43i 0.265590 0.106765i
\(617\) 2.79566e44i 0.633756i −0.948466 0.316878i \(-0.897365\pi\)
0.948466 0.316878i \(-0.102635\pi\)
\(618\) 4.58927e44 8.61284e44i 1.01374 1.90253i
\(619\) −3.36088e44 + 5.82121e44i −0.723440 + 1.25303i 0.236174 + 0.971711i \(0.424107\pi\)
−0.959613 + 0.281323i \(0.909227\pi\)
\(620\) 1.76010e44 + 1.01619e44i 0.369207 + 0.213162i
\(621\) 3.74825e44 + 5.18783e44i 0.766237 + 1.06052i
\(622\) −4.92368e44 −0.980943
\(623\) −2.13671e44 3.04111e43i −0.414893 0.0590505i
\(624\) 1.54499e44 9.63525e43i 0.292397 0.182352i
\(625\) 1.02655e44 + 1.77803e44i 0.189364 + 0.327988i
\(626\) 5.97958e44 + 3.45231e44i 1.07518 + 0.620756i
\(627\) 3.09386e44 1.05309e43i 0.542275 0.0184579i
\(628\) 3.98354e44 + 6.89970e44i 0.680637 + 1.17890i
\(629\) 4.28137e44i 0.713136i
\(630\) −6.25239e44 + 3.02234e44i −1.01531 + 0.490788i
\(631\) 1.21762e45 1.92771 0.963856 0.266422i \(-0.0858415\pi\)
0.963856 + 0.266422i \(0.0858415\pi\)
\(632\) −6.23340e43 + 3.59885e43i −0.0962169 + 0.0555509i
\(633\) −5.35662e42 1.57372e44i −0.00806179 0.236847i
\(634\) −3.24305e44 + 5.61713e44i −0.475911 + 0.824302i
\(635\) −2.46729e44 + 1.42449e44i −0.353053 + 0.203835i
\(636\) 3.64442e44 + 5.84375e44i 0.508527 + 0.815413i
\(637\) 8.68331e43 + 3.53540e44i 0.118156 + 0.481069i
\(638\) 2.50016e44i 0.331770i
\(639\) 4.61404e43 + 6.76992e44i 0.0597128 + 0.876133i
\(640\) −2.11963e44 + 3.67131e44i −0.267535 + 0.463385i
\(641\) −7.62105e44 4.40002e44i −0.938181 0.541659i −0.0487913 0.998809i \(-0.515537\pi\)
−0.889390 + 0.457150i \(0.848870\pi\)
\(642\) −1.92059e45 1.02337e45i −2.30608 1.22877i
\(643\) 7.19018e44 0.842101 0.421050 0.907037i \(-0.361662\pi\)
0.421050 + 0.907037i \(0.361662\pi\)
\(644\) −8.79490e44 + 1.12164e45i −1.00475 + 1.28139i
\(645\) 4.07714e44 + 6.53761e44i 0.454360 + 0.728557i
\(646\) −3.26227e44 5.65041e44i −0.354649 0.614271i
\(647\) −4.20119e44 2.42556e44i −0.445558 0.257243i 0.260394 0.965502i \(-0.416147\pi\)
−0.705952 + 0.708259i \(0.749481\pi\)
\(648\) 4.80452e43 + 3.50833e44i 0.0497107 + 0.362995i
\(649\) 8.22000e43 + 1.42375e44i 0.0829768 + 0.143720i
\(650\) 3.26598e44i 0.321662i
\(651\) −1.91482e44 4.33141e44i −0.184006 0.416230i
\(652\) −8.28465e44 −0.776807
\(653\) −8.06706e44 + 4.65752e44i −0.738081 + 0.426131i −0.821371 0.570394i \(-0.806791\pi\)
0.0832901 + 0.996525i \(0.473457\pi\)
\(654\) 5.35754e44 1.82360e43i 0.478324 0.0162812i
\(655\) 5.07264e44 8.78607e44i 0.441950 0.765480i
\(656\) 1.07436e45 6.20283e44i 0.913459 0.527386i
\(657\) −3.27366e44 + 6.68207e44i −0.271636 + 0.554453i
\(658\) −1.03019e45 + 4.14128e44i −0.834266 + 0.335367i
\(659\) 1.36400e45i 1.07807i −0.842283 0.539035i \(-0.818789\pi\)
0.842283 0.539035i \(-0.181211\pi\)
\(660\) −8.37303e44 4.46149e44i −0.645921 0.344173i
\(661\) −1.04747e45 + 1.81428e45i −0.788715 + 1.36609i 0.138039 + 0.990427i \(0.455920\pi\)
−0.926754 + 0.375668i \(0.877413\pi\)
\(662\) −7.65330e44 4.41864e44i −0.562498 0.324758i
\(663\) 2.21345e44 4.15406e44i 0.158801 0.298027i
\(664\) 6.24576e44 0.437417
\(665\) −2.85188e44 7.09440e44i −0.194978 0.485031i
\(666\) −2.10869e45 1.03308e45i −1.40742 0.689521i
\(667\) 2.84565e44 + 4.92881e44i 0.185425 + 0.321165i
\(668\) −7.62285e44 4.40105e44i −0.484947 0.279984i
\(669\) 4.25950e43 + 1.25140e45i 0.0264570 + 0.777279i
\(670\) −1.61238e45 2.79273e45i −0.977849 1.69368i
\(671\) 3.80609e44i 0.225382i
\(672\) 2.22807e45 9.84978e44i 1.28831 0.569532i
\(673\) 3.30345e45 1.86520 0.932602 0.360906i \(-0.117532\pi\)
0.932602 + 0.360906i \(0.117532\pi\)
\(674\) 2.62421e45 1.51509e45i 1.44691 0.835371i
\(675\) −7.34489e44 3.29347e44i −0.395481 0.177334i
\(676\) −8.93005e44 + 1.54673e45i −0.469577 + 0.813331i
\(677\) −5.00924e44 + 2.89209e44i −0.257249 + 0.148523i −0.623079 0.782159i \(-0.714118\pi\)
0.365830 + 0.930682i \(0.380785\pi\)
\(678\) −2.57754e45 + 1.60747e45i −1.29280 + 0.806246i
\(679\) 3.08090e45 + 2.41576e45i 1.50925 + 1.18342i
\(680\) 3.92922e44i 0.188003i
\(681\) 8.77138e43 1.64615e44i 0.0409934 0.0769337i
\(682\) 5.83426e44 1.01052e45i 0.266339 0.461314i
\(683\) −3.60210e45 2.07968e45i −1.60629 0.927394i −0.990190 0.139729i \(-0.955377\pi\)
−0.616104 0.787665i \(-0.711290\pi\)
\(684\) −1.97957e45 + 1.34917e44i −0.862328 + 0.0587719i
\(685\) −4.08923e44 −0.174017
\(686\) 3.57855e44 + 3.58590e45i 0.148772 + 1.49078i
\(687\) −4.98205e44 + 3.10702e44i −0.202349 + 0.126193i
\(688\) −9.99872e44 1.73183e45i −0.396761 0.687211i
\(689\) −8.54417e44 4.93298e44i −0.331255 0.191250i
\(690\) 3.89278e45 1.32502e44i 1.47460 0.0501924i
\(691\) −7.95997e44 1.37871e45i −0.294620 0.510297i 0.680276 0.732956i \(-0.261860\pi\)
−0.974896 + 0.222659i \(0.928527\pi\)
\(692\) 1.97067e45i 0.712714i
\(693\) 9.62132e44 + 1.99039e45i 0.340019 + 0.703406i
\(694\) 5.47529e45 1.89084
\(695\) 2.11656e45 1.22200e45i 0.714290 0.412396i
\(696\) 1.07118e43 + 3.14702e44i 0.00353277 + 0.103789i
\(697\) 1.60348e45 2.77731e45i 0.516821 0.895160i
\(698\) 7.06423e45 4.07854e45i 2.22525 1.28475i
\(699\) −8.61151e44 1.38084e45i −0.265121 0.425116i
\(700\) 2.52594e44 1.77474e45i 0.0760071 0.534031i
\(701\) 1.57130e44i 0.0462138i −0.999733 0.0231069i \(-0.992644\pi\)
0.999733 0.0231069i \(-0.00735582\pi\)
\(702\) −1.51188e45 2.09255e45i −0.434635 0.601563i
\(703\) 1.29269e45 2.23901e45i 0.363254 0.629174i
\(704\) 3.48461e45 + 2.01184e45i 0.957175 + 0.552625i
\(705\) 1.48476e45 + 7.91139e44i 0.398685 + 0.212435i
\(706\) 7.70977e45 2.02379
\(707\) −3.84000e44 9.55247e44i −0.0985419 0.245135i
\(708\) −5.57601e44 8.94101e44i −0.139891 0.224313i
\(709\) 6.69395e44 + 1.15943e45i 0.164189 + 0.284383i 0.936367 0.351023i \(-0.114166\pi\)
−0.772178 + 0.635406i \(0.780833\pi\)
\(710\) 3.57632e45 + 2.06479e45i 0.857635 + 0.495156i
\(711\) −7.21313e44 1.07347e45i −0.169126 0.251696i
\(712\) 3.34869e44 + 5.80011e44i 0.0767707 + 0.132971i
\(713\) 2.65619e45i 0.595424i
\(714\) 2.74867e45 3.76235e45i 0.602492 0.824684i
\(715\) 1.35912e45 0.291315
\(716\) 2.21198e45 1.27709e45i 0.463632 0.267678i
\(717\) 6.36123e45 2.16523e44i 1.30387 0.0443811i
\(718\) −2.27961e45 + 3.94840e45i −0.456951 + 0.791462i
\(719\) −3.71217e44 + 2.14322e44i −0.0727722 + 0.0420150i −0.535945 0.844253i \(-0.680044\pi\)
0.463172 + 0.886268i \(0.346711\pi\)
\(720\) −2.45258e45 1.20156e45i −0.470222 0.230370i
\(721\) −1.08126e45 + 7.59704e45i −0.202753 + 1.42456i
\(722\) 4.22887e45i 0.775584i
\(723\) 2.37506e44 + 1.26553e44i 0.0426051 + 0.0227018i
\(724\) −5.93490e44 + 1.02796e45i −0.104135 + 0.180367i
\(725\) −6.19890e44 3.57894e44i −0.106391 0.0614251i
\(726\) 1.63496e45 3.06838e45i 0.274486 0.515137i
\(727\) −1.19010e46 −1.95448 −0.977241 0.212133i \(-0.931959\pi\)
−0.977241 + 0.212133i \(0.931959\pi\)
\(728\) 6.97071e44 8.88997e44i 0.111989 0.142823i
\(729\) −6.23056e45 + 1.28993e45i −0.979234 + 0.202734i
\(730\) 2.26418e45 + 3.92167e45i 0.348133 + 0.602984i
\(731\) −4.47692e45 2.58475e45i −0.673444 0.388813i
\(732\) −8.29883e43 2.43811e45i −0.0122135 0.358819i
\(733\) 4.05699e45 + 7.02692e45i 0.584172 + 1.01182i 0.994978 + 0.100093i \(0.0319141\pi\)
−0.410806 + 0.911723i \(0.634753\pi\)
\(734\) 1.81194e46i 2.55274i
\(735\) 3.81033e45 3.91125e45i 0.525249 0.539160i
\(736\) −1.36634e46 −1.84295
\(737\) −8.89040e45 + 5.13288e45i −1.17339 + 0.677456i
\(738\) −9.80985e45 1.45992e46i −1.26695 1.88550i
\(739\) 4.24725e44 7.35646e44i 0.0536781 0.0929732i −0.837938 0.545766i \(-0.816239\pi\)
0.891616 + 0.452793i \(0.149572\pi\