Properties

Label 4.33.b.b.3.4
Level $4$
Weight $33$
Character 4.3
Analytic conductor $25.947$
Analytic rank $0$
Dimension $14$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 4 = 2^{2} \)
Weight: \( k \) \(=\) \( 33 \)
Character orbit: \([\chi]\) \(=\) 4.b (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(25.9466620569\)
Analytic rank: \(0\)
Dimension: \(14\)
Coefficient field: \(\mathbb{Q}[x]/(x^{14} + \cdots)\)
Defining polynomial: \(x^{14} + 72511313626452 x^{12} + 2025191977179903324811336518 x^{10} + 27922884728028663894750078705223437415644 x^{8} + 203010662886800095440071970440402438747266446160157745 x^{6} + 758734102549599282271818004575465783845093632382487984186969965640 x^{4} + 1269648449115368448095465842606476325720277486461580161887038301255933321354000 x^{2} + 624216522131873762678666934520680301449631616035103441585151846396220724278849706601312000\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{182}\cdot 3^{20}\cdot 5^{6} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 3.4
Root \(2.55660e6i\) of defining polynomial
Character \(\chi\) \(=\) 4.3
Dual form 4.33.b.b.3.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-56022.2 + 34007.1i) q^{2} +4.09055e7i q^{3} +(1.98200e9 - 3.81031e9i) q^{4} -2.17196e11 q^{5} +(-1.39108e12 - 2.29162e12i) q^{6} +2.81808e12i q^{7} +(1.85418e13 + 2.80864e14i) q^{8} +1.79757e14 q^{9} +O(q^{10})\) \(q+(-56022.2 + 34007.1i) q^{2} +4.09055e7i q^{3} +(1.98200e9 - 3.81031e9i) q^{4} -2.17196e11 q^{5} +(-1.39108e12 - 2.29162e12i) q^{6} +2.81808e12i q^{7} +(1.85418e13 + 2.80864e14i) q^{8} +1.79757e14 q^{9} +(1.21678e16 - 7.38622e15i) q^{10} -6.95526e16i q^{11} +(1.55863e17 + 8.10747e16i) q^{12} -7.08184e17 q^{13} +(-9.58347e16 - 1.57875e17i) q^{14} -8.88453e18i q^{15} +(-1.05901e19 - 1.51040e19i) q^{16} +6.55998e19 q^{17} +(-1.00704e19 + 6.11302e18i) q^{18} -1.83995e20i q^{19} +(-4.30482e20 + 8.27584e20i) q^{20} -1.15275e20 q^{21} +(2.36528e21 + 3.89649e21i) q^{22} +7.92873e20i q^{23} +(-1.14889e22 + 7.58463e20i) q^{24} +2.38911e22 q^{25} +(3.96740e22 - 2.40833e22i) q^{26} +8.31519e22i q^{27} +(1.07377e22 + 5.58542e21i) q^{28} -1.45523e23 q^{29} +(3.02137e23 + 4.97731e23i) q^{30} +1.34887e24i q^{31} +(1.10693e24 + 4.86021e23i) q^{32} +2.84509e24 q^{33} +(-3.67504e24 + 2.23086e24i) q^{34} -6.12075e23i q^{35} +(3.56278e23 - 6.84930e23i) q^{36} -2.62567e24 q^{37} +(6.25715e24 + 1.03078e25i) q^{38} -2.89686e25i q^{39} +(-4.02721e24 - 6.10025e25i) q^{40} -1.80745e25 q^{41} +(6.45795e24 - 3.92017e24i) q^{42} +1.56149e26i q^{43} +(-2.65017e26 - 1.37853e26i) q^{44} -3.90426e25 q^{45} +(-2.69633e25 - 4.44185e25i) q^{46} -8.64218e26i q^{47} +(6.17839e26 - 4.33194e26i) q^{48} +1.09649e27 q^{49} +(-1.33843e27 + 8.12470e26i) q^{50} +2.68339e27i q^{51} +(-1.40362e27 + 2.69840e27i) q^{52} +5.50243e27 q^{53} +(-2.82776e27 - 4.65835e27i) q^{54} +1.51066e28i q^{55} +(-7.91495e26 + 5.22522e25i) q^{56} +7.52642e27 q^{57} +(8.15252e27 - 4.94882e27i) q^{58} -9.48554e27i q^{59} +(-3.38528e28 - 1.76091e28i) q^{60} +3.04221e28 q^{61} +(-4.58712e28 - 7.55666e28i) q^{62} +5.06569e26i q^{63} +(-7.85406e28 + 1.04154e28i) q^{64} +1.53815e29 q^{65} +(-1.59388e29 + 9.67532e28i) q^{66} +7.40203e28i q^{67} +(1.30019e29 - 2.49955e29i) q^{68} -3.24329e28 q^{69} +(2.08149e28 + 3.42898e28i) q^{70} +2.60149e29i q^{71} +(3.33302e27 + 5.04872e28i) q^{72} +3.70906e29 q^{73} +(1.47095e29 - 8.92914e28i) q^{74} +9.77280e29i q^{75} +(-7.01078e29 - 3.64678e29i) q^{76} +1.96004e29 q^{77} +(9.85140e29 + 1.62289e30i) q^{78} -2.10671e30i q^{79} +(2.30013e30 + 3.28054e30i) q^{80} -3.06828e30 q^{81} +(1.01257e30 - 6.14660e29i) q^{82} -6.24724e30i q^{83} +(-2.28475e29 + 4.39233e29i) q^{84} -1.42480e31 q^{85} +(-5.31019e30 - 8.74783e30i) q^{86} -5.95270e30i q^{87} +(1.95348e31 - 1.28963e30i) q^{88} +1.03445e31 q^{89} +(2.18725e30 - 1.32773e30i) q^{90} -1.99572e30i q^{91} +(3.02109e30 + 1.57147e30i) q^{92} -5.51763e31 q^{93} +(2.93896e31 + 4.84153e31i) q^{94} +3.99630e31i q^{95} +(-1.98809e31 + 4.52794e31i) q^{96} +1.05656e32 q^{97} +(-6.14275e31 + 3.72883e31i) q^{98} -1.25026e31i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 14q - 23780q^{2} - 2922848368q^{4} + 138121491740q^{5} + 1262734959552q^{6} - 191366550113600q^{8} - 11183509932817650q^{9} + O(q^{10}) \) \( 14q - 23780q^{2} - 2922848368q^{4} + 138121491740q^{5} + 1262734959552q^{6} - 191366550113600q^{8} - 11183509932817650q^{9} + 31775605694457400q^{10} - 356375853407619840q^{12} - 1640418469677858020q^{13} + 7731597686180285568q^{14} - 30570843123186593536q^{16} + 31570967905797256220q^{17} - \)\(35\!\cdots\!40\)\(q^{18} + \)\(20\!\cdots\!60\)\(q^{20} - \)\(21\!\cdots\!16\)\(q^{21} + \)\(54\!\cdots\!80\)\(q^{22} - \)\(25\!\cdots\!32\)\(q^{24} + \)\(10\!\cdots\!50\)\(q^{25} - \)\(10\!\cdots\!24\)\(q^{26} + \)\(28\!\cdots\!20\)\(q^{28} - \)\(38\!\cdots\!16\)\(q^{29} - \)\(58\!\cdots\!20\)\(q^{30} - \)\(30\!\cdots\!00\)\(q^{32} + \)\(30\!\cdots\!00\)\(q^{33} + \)\(29\!\cdots\!16\)\(q^{34} + \)\(40\!\cdots\!96\)\(q^{36} - \)\(10\!\cdots\!40\)\(q^{37} - \)\(23\!\cdots\!60\)\(q^{38} + \)\(46\!\cdots\!00\)\(q^{40} + \)\(36\!\cdots\!48\)\(q^{41} + \)\(11\!\cdots\!00\)\(q^{42} - \)\(34\!\cdots\!40\)\(q^{44} + \)\(80\!\cdots\!80\)\(q^{45} - \)\(29\!\cdots\!48\)\(q^{46} + \)\(22\!\cdots\!60\)\(q^{48} - \)\(48\!\cdots\!90\)\(q^{49} - \)\(51\!\cdots\!00\)\(q^{50} - \)\(96\!\cdots\!20\)\(q^{52} + \)\(18\!\cdots\!80\)\(q^{53} + \)\(56\!\cdots\!36\)\(q^{54} + \)\(63\!\cdots\!52\)\(q^{56} - \)\(45\!\cdots\!40\)\(q^{57} - \)\(38\!\cdots\!60\)\(q^{58} + \)\(47\!\cdots\!00\)\(q^{60} + \)\(10\!\cdots\!08\)\(q^{61} + \)\(21\!\cdots\!00\)\(q^{62} - \)\(19\!\cdots\!88\)\(q^{64} + \)\(11\!\cdots\!00\)\(q^{65} + \)\(12\!\cdots\!60\)\(q^{66} + \)\(35\!\cdots\!00\)\(q^{68} - \)\(51\!\cdots\!84\)\(q^{69} - \)\(51\!\cdots\!80\)\(q^{70} + \)\(11\!\cdots\!60\)\(q^{72} + \)\(14\!\cdots\!60\)\(q^{73} - \)\(98\!\cdots\!84\)\(q^{74} - \)\(78\!\cdots\!00\)\(q^{76} - \)\(30\!\cdots\!40\)\(q^{77} + \)\(87\!\cdots\!00\)\(q^{78} + \)\(62\!\cdots\!40\)\(q^{80} - \)\(42\!\cdots\!22\)\(q^{81} - \)\(45\!\cdots\!80\)\(q^{82} + \)\(18\!\cdots\!96\)\(q^{84} + \)\(67\!\cdots\!00\)\(q^{85} - \)\(23\!\cdots\!48\)\(q^{86} + \)\(11\!\cdots\!80\)\(q^{88} - \)\(18\!\cdots\!76\)\(q^{89} - \)\(25\!\cdots\!00\)\(q^{90} + \)\(60\!\cdots\!00\)\(q^{92} + \)\(43\!\cdots\!40\)\(q^{93} - \)\(13\!\cdots\!12\)\(q^{94} + \)\(34\!\cdots\!32\)\(q^{96} - \)\(20\!\cdots\!20\)\(q^{97} - \)\(46\!\cdots\!00\)\(q^{98} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −56022.2 + 34007.1i −0.854830 + 0.518908i
\(3\) 4.09055e7i 0.950259i 0.879916 + 0.475130i \(0.157599\pi\)
−0.879916 + 0.475130i \(0.842401\pi\)
\(4\) 1.98200e9 3.81031e9i 0.461470 0.887156i
\(5\) −2.17196e11 −1.42342 −0.711709 0.702475i \(-0.752078\pi\)
−0.711709 + 0.702475i \(0.752078\pi\)
\(6\) −1.39108e12 2.29162e12i −0.493097 0.812310i
\(7\) 2.81808e12i 0.0847977i 0.999101 + 0.0423988i \(0.0135000\pi\)
−0.999101 + 0.0423988i \(0.986500\pi\)
\(8\) 1.85418e13 + 2.80864e14i 0.0658738 + 0.997828i
\(9\) 1.79757e14 0.0970076
\(10\) 1.21678e16 7.38622e15i 1.21678 0.738622i
\(11\) 6.95526e16i 1.51367i −0.653607 0.756834i \(-0.726745\pi\)
0.653607 0.756834i \(-0.273255\pi\)
\(12\) 1.55863e17 + 8.10747e16i 0.843028 + 0.438516i
\(13\) −7.08184e17 −1.06427 −0.532136 0.846659i \(-0.678610\pi\)
−0.532136 + 0.846659i \(0.678610\pi\)
\(14\) −9.58347e16 1.57875e17i −0.0440022 0.0724876i
\(15\) 8.88453e18i 1.35262i
\(16\) −1.05901e19 1.51040e19i −0.574091 0.818791i
\(17\) 6.55998e19 1.34809 0.674046 0.738689i \(-0.264555\pi\)
0.674046 + 0.738689i \(0.264555\pi\)
\(18\) −1.00704e19 + 6.11302e18i −0.0829251 + 0.0503380i
\(19\) 1.83995e20i 0.637894i −0.947773 0.318947i \(-0.896671\pi\)
0.947773 0.318947i \(-0.103329\pi\)
\(20\) −4.30482e20 + 8.27584e20i −0.656864 + 1.26279i
\(21\) −1.15275e20 −0.0805798
\(22\) 2.36528e21 + 3.89649e21i 0.785454 + 1.29393i
\(23\) 7.92873e20i 0.129288i 0.997908 + 0.0646440i \(0.0205912\pi\)
−0.997908 + 0.0646440i \(0.979409\pi\)
\(24\) −1.14889e22 + 7.58463e20i −0.948195 + 0.0625972i
\(25\) 2.38911e22 1.02612
\(26\) 3.96740e22 2.40833e22i 0.909771 0.552259i
\(27\) 8.31519e22i 1.04244i
\(28\) 1.07377e22 + 5.58542e21i 0.0752288 + 0.0391316i
\(29\) −1.45523e23 −0.581519 −0.290760 0.956796i \(-0.593908\pi\)
−0.290760 + 0.956796i \(0.593908\pi\)
\(30\) 3.02137e23 + 4.97731e23i 0.701882 + 1.15626i
\(31\) 1.34887e24i 1.85431i 0.374673 + 0.927157i \(0.377755\pi\)
−0.374673 + 0.927157i \(0.622245\pi\)
\(32\) 1.10693e24 + 4.86021e23i 0.915628 + 0.402027i
\(33\) 2.84509e24 1.43838
\(34\) −3.67504e24 + 2.23086e24i −1.15239 + 0.699535i
\(35\) 6.12075e23i 0.120702i
\(36\) 3.56278e23 6.84930e23i 0.0447661 0.0860609i
\(37\) −2.62567e24 −0.212820 −0.106410 0.994322i \(-0.533936\pi\)
−0.106410 + 0.994322i \(0.533936\pi\)
\(38\) 6.25715e24 + 1.03078e25i 0.331008 + 0.545291i
\(39\) 2.89686e25i 1.01133i
\(40\) −4.02721e24 6.10025e25i −0.0937659 1.42033i
\(41\) −1.80745e25 −0.283481 −0.141740 0.989904i \(-0.545270\pi\)
−0.141740 + 0.989904i \(0.545270\pi\)
\(42\) 6.45795e24 3.92017e24i 0.0688820 0.0418135i
\(43\) 1.56149e26i 1.14300i 0.820603 + 0.571498i \(0.193638\pi\)
−0.820603 + 0.571498i \(0.806362\pi\)
\(44\) −2.65017e26 1.37853e26i −1.34286 0.698512i
\(45\) −3.90426e25 −0.138082
\(46\) −2.69633e25 4.44185e25i −0.0670885 0.110519i
\(47\) 8.64218e26i 1.52425i −0.647427 0.762127i \(-0.724155\pi\)
0.647427 0.762127i \(-0.275845\pi\)
\(48\) 6.17839e26 4.33194e26i 0.778064 0.545536i
\(49\) 1.09649e27 0.992809
\(50\) −1.33843e27 + 8.12470e26i −0.877156 + 0.532460i
\(51\) 2.68339e27i 1.28104i
\(52\) −1.40362e27 + 2.69840e27i −0.491129 + 0.944175i
\(53\) 5.50243e27 1.41952 0.709759 0.704444i \(-0.248804\pi\)
0.709759 + 0.704444i \(0.248804\pi\)
\(54\) −2.82776e27 4.65835e27i −0.540931 0.891111i
\(55\) 1.51066e28i 2.15458i
\(56\) −7.91495e26 + 5.22522e25i −0.0846135 + 0.00558594i
\(57\) 7.52642e27 0.606165
\(58\) 8.15252e27 4.94882e27i 0.497100 0.301755i
\(59\) 9.48554e27i 0.439977i −0.975502 0.219988i \(-0.929398\pi\)
0.975502 0.219988i \(-0.0706020\pi\)
\(60\) −3.38528e28 1.76091e28i −1.19998 0.624191i
\(61\) 3.04221e28 0.827774 0.413887 0.910328i \(-0.364171\pi\)
0.413887 + 0.910328i \(0.364171\pi\)
\(62\) −4.58712e28 7.55666e28i −0.962218 1.58512i
\(63\) 5.06569e26i 0.00822602i
\(64\) −7.85406e28 + 1.04154e28i −0.991321 + 0.131461i
\(65\) 1.53815e29 1.51490
\(66\) −1.59388e29 + 9.67532e28i −1.22957 + 0.746384i
\(67\) 7.40203e28i 0.448905i 0.974485 + 0.224452i \(0.0720593\pi\)
−0.974485 + 0.224452i \(0.927941\pi\)
\(68\) 1.30019e29 2.49955e29i 0.622103 1.19597i
\(69\) −3.24329e28 −0.122857
\(70\) 2.08149e28 + 3.42898e28i 0.0626334 + 0.103180i
\(71\) 2.60149e29i 0.623863i 0.950105 + 0.311932i \(0.100976\pi\)
−0.950105 + 0.311932i \(0.899024\pi\)
\(72\) 3.33302e27 + 5.04872e28i 0.00639026 + 0.0967969i
\(73\) 3.70906e29 0.570293 0.285147 0.958484i \(-0.407958\pi\)
0.285147 + 0.958484i \(0.407958\pi\)
\(74\) 1.47095e29 8.92914e28i 0.181925 0.110434i
\(75\) 9.77280e29i 0.975077i
\(76\) −7.01078e29 3.64678e29i −0.565912 0.294369i
\(77\) 1.96004e29 0.128355
\(78\) 9.85140e29 + 1.62289e30i 0.524789 + 0.864519i
\(79\) 2.10671e30i 0.915317i −0.889128 0.457659i \(-0.848688\pi\)
0.889128 0.457659i \(-0.151312\pi\)
\(80\) 2.30013e30 + 3.28054e30i 0.817172 + 1.16548i
\(81\) −3.06828e30 −0.893582
\(82\) 1.01257e30 6.14660e29i 0.242328 0.147100i
\(83\) 6.24724e30i 1.23151i −0.787937 0.615756i \(-0.788851\pi\)
0.787937 0.615756i \(-0.211149\pi\)
\(84\) −2.28475e29 + 4.39233e29i −0.0371851 + 0.0714868i
\(85\) −1.42480e31 −1.91890
\(86\) −5.31019e30 8.74783e30i −0.593110 0.977068i
\(87\) 5.95270e30i 0.552594i
\(88\) 1.95348e31 1.28963e30i 1.51038 0.0997110i
\(89\) 1.03445e31 0.667526 0.333763 0.942657i \(-0.391682\pi\)
0.333763 + 0.942657i \(0.391682\pi\)
\(90\) 2.18725e30 1.32773e30i 0.118037 0.0716520i
\(91\) 1.99572e30i 0.0902477i
\(92\) 3.02109e30 + 1.57147e30i 0.114699 + 0.0596625i
\(93\) −5.51763e31 −1.76208
\(94\) 2.93896e31 + 4.84153e31i 0.790947 + 1.30298i
\(95\) 3.99630e31i 0.907990i
\(96\) −1.98809e31 + 4.52794e31i −0.382030 + 0.870084i
\(97\) 1.05656e32 1.72007 0.860036 0.510233i \(-0.170441\pi\)
0.860036 + 0.510233i \(0.170441\pi\)
\(98\) −6.14275e31 + 3.72883e31i −0.848684 + 0.515176i
\(99\) 1.25026e31i 0.146837i
\(100\) 4.73522e31 9.10326e31i 0.473522 0.910326i
\(101\) 9.75597e31 0.832010 0.416005 0.909362i \(-0.363430\pi\)
0.416005 + 0.909362i \(0.363430\pi\)
\(102\) −9.12545e31 1.50329e32i −0.664740 1.09507i
\(103\) 1.75898e31i 0.109614i 0.998497 + 0.0548068i \(0.0174543\pi\)
−0.998497 + 0.0548068i \(0.982546\pi\)
\(104\) −1.31310e31 1.98903e32i −0.0701076 1.06196i
\(105\) 2.50373e31 0.114699
\(106\) −3.08258e32 + 1.87122e32i −1.21345 + 0.736599i
\(107\) 2.30757e32i 0.781653i 0.920464 + 0.390827i \(0.127811\pi\)
−0.920464 + 0.390827i \(0.872189\pi\)
\(108\) 3.16834e32 + 1.64807e32i 0.924808 + 0.481055i
\(109\) −3.17192e32 −0.798910 −0.399455 0.916753i \(-0.630801\pi\)
−0.399455 + 0.916753i \(0.630801\pi\)
\(110\) −5.13731e32 8.46302e32i −1.11803 1.84180i
\(111\) 1.07404e32i 0.202234i
\(112\) 4.25643e31 2.98438e31i 0.0694316 0.0486816i
\(113\) 1.38155e33 1.95485 0.977424 0.211288i \(-0.0677658\pi\)
0.977424 + 0.211288i \(0.0677658\pi\)
\(114\) −4.21646e32 + 2.55952e32i −0.518168 + 0.314544i
\(115\) 1.72209e32i 0.184031i
\(116\) −2.88426e32 + 5.54488e32i −0.268353 + 0.515898i
\(117\) −1.27301e32 −0.103242
\(118\) 3.22576e32 + 5.31400e32i 0.228307 + 0.376105i
\(119\) 1.84865e32i 0.114315i
\(120\) 2.49534e33 1.64735e32i 1.34968 0.0891019i
\(121\) −2.72619e33 −1.29119
\(122\) −1.70431e33 + 1.03457e33i −0.707606 + 0.429538i
\(123\) 7.39345e32i 0.269380i
\(124\) 5.13961e33 + 2.67346e33i 1.64507 + 0.855710i
\(125\) −1.32074e32 −0.0371755
\(126\) −1.72270e31 2.83791e31i −0.00426855 0.00703185i
\(127\) 5.38941e33i 1.17674i 0.808590 + 0.588372i \(0.200231\pi\)
−0.808590 + 0.588372i \(0.799769\pi\)
\(128\) 4.04581e33 3.25444e33i 0.779195 0.626781i
\(129\) −6.38737e33 −1.08614
\(130\) −8.61704e33 + 5.23080e33i −1.29498 + 0.786094i
\(131\) 1.38685e34i 1.84370i −0.387550 0.921849i \(-0.626679\pi\)
0.387550 0.921849i \(-0.373321\pi\)
\(132\) 5.63895e33 1.08407e34i 0.663767 1.27606i
\(133\) 5.18512e32 0.0540919
\(134\) −2.51722e33 4.14678e33i −0.232940 0.383737i
\(135\) 1.80603e34i 1.48383i
\(136\) 1.21634e33 + 1.84246e34i 0.0888039 + 1.34516i
\(137\) −1.41446e34 −0.918461 −0.459231 0.888317i \(-0.651875\pi\)
−0.459231 + 0.888317i \(0.651875\pi\)
\(138\) 1.81696e33 1.10295e33i 0.105022 0.0637515i
\(139\) 1.36246e34i 0.701596i 0.936451 + 0.350798i \(0.114090\pi\)
−0.936451 + 0.350798i \(0.885910\pi\)
\(140\) −2.33219e33 1.21313e33i −0.107082 0.0557005i
\(141\) 3.53513e34 1.44844
\(142\) −8.84694e33 1.45741e34i −0.323727 0.533297i
\(143\) 4.92560e34i 1.61095i
\(144\) −1.90365e33 2.71506e33i −0.0556913 0.0794290i
\(145\) 3.16071e34 0.827745
\(146\) −2.07790e34 + 1.26134e34i −0.487504 + 0.295929i
\(147\) 4.48524e34i 0.943426i
\(148\) −5.20406e33 + 1.00046e34i −0.0982098 + 0.188804i
\(149\) 1.20034e34 0.203388 0.101694 0.994816i \(-0.467574\pi\)
0.101694 + 0.994816i \(0.467574\pi\)
\(150\) −3.32345e34 5.47494e34i −0.505975 0.833525i
\(151\) 4.78649e34i 0.655219i 0.944813 + 0.327609i \(0.106243\pi\)
−0.944813 + 0.327609i \(0.893757\pi\)
\(152\) 5.16775e34 3.41160e33i 0.636509 0.0420205i
\(153\) 1.17920e34 0.130775
\(154\) −1.09806e34 + 6.66555e33i −0.109722 + 0.0666046i
\(155\) 2.92970e35i 2.63946i
\(156\) −1.10379e35 5.74158e34i −0.897211 0.466700i
\(157\) 7.13932e34 0.523917 0.261959 0.965079i \(-0.415632\pi\)
0.261959 + 0.965079i \(0.415632\pi\)
\(158\) 7.16432e34 + 1.18023e35i 0.474965 + 0.782441i
\(159\) 2.25080e35i 1.34891i
\(160\) −2.40420e35 1.05562e35i −1.30332 0.572252i
\(161\) −2.23438e33 −0.0109633
\(162\) 1.71892e35 1.04343e35i 0.763861 0.463686i
\(163\) 9.56621e34i 0.385246i −0.981273 0.192623i \(-0.938301\pi\)
0.981273 0.192623i \(-0.0616995\pi\)
\(164\) −3.58235e34 + 6.88692e34i −0.130818 + 0.251492i
\(165\) −6.17942e35 −2.04741
\(166\) 2.12451e35 + 3.49984e35i 0.639041 + 1.05273i
\(167\) 1.85412e35i 0.506609i −0.967387 0.253305i \(-0.918482\pi\)
0.967387 0.253305i \(-0.0815175\pi\)
\(168\) −2.13741e33 3.23765e34i −0.00530809 0.0804047i
\(169\) 5.87451e34 0.132674
\(170\) 7.98205e35 4.84534e35i 1.64033 0.995731i
\(171\) 3.30744e34i 0.0618806i
\(172\) 5.94977e35 + 3.09488e35i 1.01402 + 0.527458i
\(173\) −2.05267e35 −0.318846 −0.159423 0.987210i \(-0.550963\pi\)
−0.159423 + 0.987210i \(0.550963\pi\)
\(174\) 2.02434e35 + 3.33483e35i 0.286745 + 0.472374i
\(175\) 6.73271e34i 0.0870123i
\(176\) −1.05052e36 + 7.36570e35i −1.23938 + 0.868984i
\(177\) 3.88011e35 0.418092
\(178\) −5.79519e35 + 3.51786e35i −0.570621 + 0.346384i
\(179\) 1.25998e35i 0.113426i 0.998391 + 0.0567132i \(0.0180621\pi\)
−0.998391 + 0.0567132i \(0.981938\pi\)
\(180\) −7.73823e34 + 1.48764e35i −0.0637208 + 0.122501i
\(181\) −1.20858e35 −0.0910789 −0.0455394 0.998963i \(-0.514501\pi\)
−0.0455394 + 0.998963i \(0.514501\pi\)
\(182\) 6.78686e34 + 1.11804e35i 0.0468302 + 0.0771465i
\(183\) 1.24443e36i 0.786600i
\(184\) −2.22689e35 + 1.47013e34i −0.129007 + 0.00851669i
\(185\) 5.70285e35 0.302931
\(186\) 3.09109e36 1.87639e36i 1.50628 0.914356i
\(187\) 4.56263e36i 2.04056i
\(188\) −3.29293e36 1.71288e36i −1.35225 0.703397i
\(189\) −2.34328e35 −0.0883966
\(190\) −1.35903e36 2.23882e36i −0.471163 0.776177i
\(191\) 2.97958e36i 0.949776i 0.880046 + 0.474888i \(0.157511\pi\)
−0.880046 + 0.474888i \(0.842489\pi\)
\(192\) −4.26049e35 3.21274e36i −0.124922 0.942012i
\(193\) −1.00262e35 −0.0270532 −0.0135266 0.999909i \(-0.504306\pi\)
−0.0135266 + 0.999909i \(0.504306\pi\)
\(194\) −5.91908e36 + 3.59306e36i −1.47037 + 0.892559i
\(195\) 6.29188e36i 1.43955i
\(196\) 2.17323e36 4.17795e36i 0.458151 0.880777i
\(197\) 9.62694e36 1.87081 0.935403 0.353585i \(-0.115037\pi\)
0.935403 + 0.353585i \(0.115037\pi\)
\(198\) 4.25177e35 + 7.00421e35i 0.0761950 + 0.125521i
\(199\) 1.60787e36i 0.265828i −0.991128 0.132914i \(-0.957567\pi\)
0.991128 0.132914i \(-0.0424335\pi\)
\(200\) 4.42985e35 + 6.71015e36i 0.0675942 + 1.02389i
\(201\) −3.02784e36 −0.426576
\(202\) −5.46551e36 + 3.31773e36i −0.711228 + 0.431736i
\(203\) 4.10095e35i 0.0493115i
\(204\) 1.02245e37 + 5.31848e36i 1.13648 + 0.591159i
\(205\) 3.92570e36 0.403511
\(206\) −5.98178e35 9.85417e35i −0.0568794 0.0937011i
\(207\) 1.42525e35i 0.0125419i
\(208\) 7.49975e36 + 1.06964e37i 0.610989 + 0.871416i
\(209\) −1.27973e37 −0.965560
\(210\) −1.40264e36 + 8.51446e35i −0.0980479 + 0.0595180i
\(211\) 3.10011e36i 0.200843i 0.994945 + 0.100422i \(0.0320192\pi\)
−0.994945 + 0.100422i \(0.967981\pi\)
\(212\) 1.09058e37 2.09660e37i 0.655065 1.25933i
\(213\) −1.06416e37 −0.592832
\(214\) −7.84738e36 1.29275e37i −0.405606 0.668181i
\(215\) 3.39151e37i 1.62696i
\(216\) −2.33543e37 + 1.54179e36i −1.04018 + 0.0686696i
\(217\) −3.80122e36 −0.157242
\(218\) 1.77698e37 1.07868e37i 0.682933 0.414561i
\(219\) 1.51721e37i 0.541926i
\(220\) 5.75606e37 + 2.99412e37i 1.91145 + 0.994274i
\(221\) −4.64567e37 −1.43474
\(222\) 3.65251e36 + 6.01702e36i 0.104941 + 0.172876i
\(223\) 1.15242e37i 0.308129i −0.988061 0.154065i \(-0.950764\pi\)
0.988061 0.154065i \(-0.0492364\pi\)
\(224\) −1.36964e36 + 3.11940e36i −0.0340910 + 0.0776431i
\(225\) 4.29460e36 0.0995412
\(226\) −7.73977e37 + 4.69827e37i −1.67106 + 1.01439i
\(227\) 4.61854e37i 0.929160i −0.885531 0.464580i \(-0.846205\pi\)
0.885531 0.464580i \(-0.153795\pi\)
\(228\) 1.49173e37 2.86780e37i 0.279727 0.537763i
\(229\) 3.72281e37 0.650883 0.325441 0.945562i \(-0.394487\pi\)
0.325441 + 0.945562i \(0.394487\pi\)
\(230\) 5.85634e36 + 9.64752e36i 0.0954950 + 0.157315i
\(231\) 8.01767e36i 0.121971i
\(232\) −2.69826e36 4.08722e37i −0.0383069 0.580256i
\(233\) 7.06883e37 0.936813 0.468407 0.883513i \(-0.344828\pi\)
0.468407 + 0.883513i \(0.344828\pi\)
\(234\) 7.13168e36 4.32915e36i 0.0882548 0.0535733i
\(235\) 1.87705e38i 2.16965i
\(236\) −3.61428e37 1.88003e37i −0.390328 0.203036i
\(237\) 8.61762e37 0.869789
\(238\) −6.28673e36 1.03565e37i −0.0593190 0.0977200i
\(239\) 1.27048e37i 0.112099i −0.998428 0.0560493i \(-0.982150\pi\)
0.998428 0.0560493i \(-0.0178504\pi\)
\(240\) −1.34192e38 + 9.40882e37i −1.10751 + 0.776525i
\(241\) 4.54592e37 0.351034 0.175517 0.984476i \(-0.443840\pi\)
0.175517 + 0.984476i \(0.443840\pi\)
\(242\) 1.52727e38 9.27098e37i 1.10375 0.670008i
\(243\) 2.85725e37i 0.193307i
\(244\) 6.02965e37 1.15917e38i 0.381993 0.734365i
\(245\) −2.38153e38 −1.41318
\(246\) 2.51430e37 + 4.14197e37i 0.139783 + 0.230274i
\(247\) 1.30302e38i 0.678892i
\(248\) −3.78849e38 + 2.50105e37i −1.85029 + 0.122151i
\(249\) 2.55547e38 1.17026
\(250\) 7.39907e36 4.49146e36i 0.0317787 0.0192907i
\(251\) 1.86541e38i 0.751612i −0.926698 0.375806i \(-0.877366\pi\)
0.926698 0.375806i \(-0.122634\pi\)
\(252\) 1.93018e36 + 1.00402e36i 0.00729777 + 0.00379606i
\(253\) 5.51464e37 0.195699
\(254\) −1.83279e38 3.01927e38i −0.610622 1.00592i
\(255\) 5.82823e38i 1.82345i
\(256\) −1.15981e38 + 3.19907e38i −0.340838 + 0.940122i
\(257\) −1.69751e38 −0.468687 −0.234344 0.972154i \(-0.575294\pi\)
−0.234344 + 0.972154i \(0.575294\pi\)
\(258\) 3.57834e38 2.17216e38i 0.928468 0.563608i
\(259\) 7.39932e36i 0.0180466i
\(260\) 3.04861e38 5.86082e38i 0.699082 1.34395i
\(261\) −2.61588e37 −0.0564118
\(262\) 4.71629e38 + 7.76945e38i 0.956709 + 1.57605i
\(263\) 2.65236e38i 0.506221i 0.967437 + 0.253110i \(0.0814536\pi\)
−0.967437 + 0.253110i \(0.918546\pi\)
\(264\) 5.27531e37 + 7.99081e38i 0.0947513 + 1.43525i
\(265\) −1.19511e39 −2.02057
\(266\) −2.90482e37 + 1.76331e37i −0.0462394 + 0.0280687i
\(267\) 4.23146e38i 0.634322i
\(268\) 2.82040e38 + 1.46708e38i 0.398249 + 0.207156i
\(269\) 1.81625e38 0.241624 0.120812 0.992675i \(-0.461450\pi\)
0.120812 + 0.992675i \(0.461450\pi\)
\(270\) 6.14178e38 + 1.01178e39i 0.769970 + 1.26842i
\(271\) 1.02031e39i 1.20566i 0.797870 + 0.602829i \(0.205960\pi\)
−0.797870 + 0.602829i \(0.794040\pi\)
\(272\) −6.94709e38 9.90821e38i −0.773928 1.10381i
\(273\) 8.16358e37 0.0857587
\(274\) 7.92410e38 4.81017e38i 0.785129 0.476597i
\(275\) 1.66169e39i 1.55320i
\(276\) −6.42819e37 + 1.23579e38i −0.0566948 + 0.108993i
\(277\) 1.47642e39 1.22895 0.614475 0.788937i \(-0.289368\pi\)
0.614475 + 0.788937i \(0.289368\pi\)
\(278\) −4.63334e38 7.63280e38i −0.364064 0.599745i
\(279\) 2.42469e38i 0.179883i
\(280\) 1.71910e38 1.13490e37i 0.120440 0.00795113i
\(281\) −5.86616e38 −0.388197 −0.194099 0.980982i \(-0.562178\pi\)
−0.194099 + 0.980982i \(0.562178\pi\)
\(282\) −1.98046e39 + 1.20220e39i −1.23817 + 0.751605i
\(283\) 2.31347e39i 1.36673i −0.730078 0.683363i \(-0.760516\pi\)
0.730078 0.683363i \(-0.239484\pi\)
\(284\) 9.91249e38 + 5.15615e38i 0.553464 + 0.287894i
\(285\) −1.63471e39 −0.862825
\(286\) −1.67506e39 2.75943e39i −0.835936 1.37709i
\(287\) 5.09352e37i 0.0240385i
\(288\) 1.98978e38 + 8.73657e37i 0.0888229 + 0.0389997i
\(289\) 1.93542e39 0.817351
\(290\) −1.77070e39 + 1.07487e39i −0.707581 + 0.429523i
\(291\) 4.32192e39i 1.63451i
\(292\) 7.35135e38 1.41327e39i 0.263173 0.505939i
\(293\) 9.55731e38 0.323932 0.161966 0.986796i \(-0.448217\pi\)
0.161966 + 0.986796i \(0.448217\pi\)
\(294\) −1.52530e39 2.51273e39i −0.489551 0.806469i
\(295\) 2.06022e39i 0.626271i
\(296\) −4.86846e37 7.37454e38i −0.0140192 0.212357i
\(297\) 5.78343e39 1.57791
\(298\) −6.72457e38 + 4.08202e38i −0.173862 + 0.105539i
\(299\) 5.61500e38i 0.137598i
\(300\) 3.72374e39 + 1.93697e39i 0.865045 + 0.449969i
\(301\) −4.40041e38 −0.0969235
\(302\) −1.62775e39 2.68150e39i −0.339998 0.560101i
\(303\) 3.99073e39i 0.790625i
\(304\) −2.77907e39 + 1.94853e39i −0.522302 + 0.366210i
\(305\) −6.60756e39 −1.17827
\(306\) −6.60615e38 + 4.01013e38i −0.111791 + 0.0678603i
\(307\) 1.81430e39i 0.291404i −0.989329 0.145702i \(-0.953456\pi\)
0.989329 0.145702i \(-0.0465440\pi\)
\(308\) 3.88480e38 7.46837e38i 0.0592322 0.113871i
\(309\) −7.19519e38 −0.104161
\(310\) 9.96306e39 + 1.64128e40i 1.36964 + 2.25629i
\(311\) 1.20307e40i 1.57082i −0.618976 0.785410i \(-0.712452\pi\)
0.618976 0.785410i \(-0.287548\pi\)
\(312\) 8.13624e39 5.37131e38i 1.00914 0.0666204i
\(313\) 9.36962e39 1.10411 0.552055 0.833808i \(-0.313844\pi\)
0.552055 + 0.833808i \(0.313844\pi\)
\(314\) −3.99960e39 + 2.42788e39i −0.447860 + 0.271865i
\(315\) 1.10025e38i 0.0117091i
\(316\) −8.02722e39 4.17550e39i −0.812029 0.422391i
\(317\) −1.26999e40 −1.22138 −0.610692 0.791868i \(-0.709109\pi\)
−0.610692 + 0.791868i \(0.709109\pi\)
\(318\) −7.65433e39 1.26095e40i −0.699960 1.15309i
\(319\) 1.01215e40i 0.880227i
\(320\) 1.70587e40 2.26220e39i 1.41106 0.187124i
\(321\) −9.43923e39 −0.742773
\(322\) 1.25175e38 7.59847e37i 0.00937178 0.00568895i
\(323\) 1.20700e40i 0.859940i
\(324\) −6.08132e39 + 1.16911e40i −0.412361 + 0.792747i
\(325\) −1.69193e40 −1.09207
\(326\) 3.25320e39 + 5.35920e39i 0.199907 + 0.329320i
\(327\) 1.29749e40i 0.759172i
\(328\) −3.35133e38 5.07646e39i −0.0186739 0.282865i
\(329\) 2.43543e39 0.129253
\(330\) 3.46185e40 2.10144e40i 1.75019 1.06242i
\(331\) 1.76393e39i 0.0849637i 0.999097 + 0.0424818i \(0.0135265\pi\)
−0.999097 + 0.0424818i \(0.986474\pi\)
\(332\) −2.38039e40 1.23820e40i −1.09254 0.568305i
\(333\) −4.71982e38 −0.0206451
\(334\) 6.30531e39 + 1.03872e40i 0.262883 + 0.433065i
\(335\) 1.60769e40i 0.638979i
\(336\) 1.22077e39 + 1.74112e39i 0.0462602 + 0.0659780i
\(337\) 8.12789e38 0.0293697 0.0146848 0.999892i \(-0.495326\pi\)
0.0146848 + 0.999892i \(0.495326\pi\)
\(338\) −3.29103e39 + 1.99775e39i −0.113413 + 0.0688453i
\(339\) 5.65132e40i 1.85761i
\(340\) −2.82395e40 + 5.42893e40i −0.885513 + 1.70236i
\(341\) 9.38175e40 2.80681
\(342\) 1.12477e39 + 1.85290e39i 0.0321103 + 0.0528974i
\(343\) 6.20234e39i 0.168986i
\(344\) −4.38567e40 + 2.89529e39i −1.14051 + 0.0752935i
\(345\) 7.04430e39 0.174877
\(346\) 1.14995e40 6.98054e39i 0.272559 0.165452i
\(347\) 7.06291e40i 1.59850i 0.601000 + 0.799249i \(0.294769\pi\)
−0.601000 + 0.799249i \(0.705231\pi\)
\(348\) −2.26816e40 1.17982e40i −0.490237 0.255005i
\(349\) −1.82205e40 −0.376143 −0.188071 0.982155i \(-0.560224\pi\)
−0.188071 + 0.982155i \(0.560224\pi\)
\(350\) −2.28960e39 3.77181e39i −0.0451514 0.0743808i
\(351\) 5.88868e40i 1.10944i
\(352\) 3.38040e40 7.69896e40i 0.608535 1.38596i
\(353\) −2.49744e40 −0.429636 −0.214818 0.976654i \(-0.568916\pi\)
−0.214818 + 0.976654i \(0.568916\pi\)
\(354\) −2.17372e40 + 1.31951e40i −0.357398 + 0.216951i
\(355\) 5.65035e40i 0.888018i
\(356\) 2.05027e40 3.94156e40i 0.308043 0.592199i
\(357\) −7.56200e39 −0.108629
\(358\) −4.28482e39 7.05866e39i −0.0588578 0.0969603i
\(359\) 8.95589e40i 1.17651i 0.808674 + 0.588257i \(0.200186\pi\)
−0.808674 + 0.588257i \(0.799814\pi\)
\(360\) −7.23920e38 1.09656e40i −0.00909601 0.137782i
\(361\) 4.93443e40 0.593091
\(362\) 6.77072e39 4.11003e39i 0.0778570 0.0472615i
\(363\) 1.11516e41i 1.22696i
\(364\) −7.60429e39 3.95550e39i −0.0800638 0.0416466i
\(365\) −8.05594e40 −0.811765
\(366\) −4.23196e40 6.97158e40i −0.408173 0.672409i
\(367\) 1.14387e40i 0.105614i −0.998605 0.0528069i \(-0.983183\pi\)
0.998605 0.0528069i \(-0.0168168\pi\)
\(368\) 1.19756e40 8.39662e39i 0.105860 0.0742232i
\(369\) −3.24901e39 −0.0274998
\(370\) −3.19486e40 + 1.93937e40i −0.258955 + 0.157193i
\(371\) 1.55063e40i 0.120372i
\(372\) −1.09359e41 + 2.10239e41i −0.813146 + 1.56324i
\(373\) −1.08315e41 −0.771519 −0.385760 0.922599i \(-0.626061\pi\)
−0.385760 + 0.922599i \(0.626061\pi\)
\(374\) 1.55162e41 + 2.55609e41i 1.05886 + 1.74433i
\(375\) 5.40255e39i 0.0353264i
\(376\) 2.42727e41 1.60242e40i 1.52094 0.100408i
\(377\) 1.03057e41 0.618894
\(378\) 1.31276e40 7.96883e39i 0.0755641 0.0458697i
\(379\) 9.31410e40i 0.513941i −0.966419 0.256971i \(-0.917276\pi\)
0.966419 0.256971i \(-0.0827244\pi\)
\(380\) 1.52271e41 + 7.92066e40i 0.805528 + 0.419010i
\(381\) −2.20457e41 −1.11821
\(382\) −1.01327e41 1.66923e41i −0.492846 0.811897i
\(383\) 7.96910e39i 0.0371731i 0.999827 + 0.0185866i \(0.00591663\pi\)
−0.999827 + 0.0185866i \(0.994083\pi\)
\(384\) 1.33124e41 + 1.65496e41i 0.595605 + 0.740437i
\(385\) −4.25714e40 −0.182703
\(386\) 5.61688e39 3.40962e39i 0.0231259 0.0140381i
\(387\) 2.80690e40i 0.110879i
\(388\) 2.09410e41 4.02582e41i 0.793761 1.52597i
\(389\) 9.70371e39 0.0352975 0.0176488 0.999844i \(-0.494382\pi\)
0.0176488 + 0.999844i \(0.494382\pi\)
\(390\) −2.13969e41 3.52485e41i −0.746993 1.23057i
\(391\) 5.20123e40i 0.174292i
\(392\) 2.03308e40 + 3.07963e41i 0.0654001 + 0.990653i
\(393\) 5.67300e41 1.75199
\(394\) −5.39322e41 + 3.27385e41i −1.59922 + 0.970775i
\(395\) 4.57570e41i 1.30288i
\(396\) −4.76386e40 2.47801e40i −0.130268 0.0677610i
\(397\) −5.94309e41 −1.56086 −0.780430 0.625243i \(-0.785000\pi\)
−0.780430 + 0.625243i \(0.785000\pi\)
\(398\) 5.46790e40 + 9.00762e40i 0.137940 + 0.227238i
\(399\) 2.12100e40i 0.0514014i
\(400\) −2.53010e41 3.60853e41i −0.589085 0.840176i
\(401\) −8.19907e40 −0.183423 −0.0917117 0.995786i \(-0.529234\pi\)
−0.0917117 + 0.995786i \(0.529234\pi\)
\(402\) 1.69626e41 1.02968e41i 0.364650 0.221353i
\(403\) 9.55248e41i 1.97349i
\(404\) 1.93363e41 3.71732e41i 0.383947 0.738123i
\(405\) 6.66418e41 1.27194
\(406\) 1.39462e40 + 2.29744e40i 0.0255881 + 0.0421529i
\(407\) 1.82622e41i 0.322138i
\(408\) −7.53667e41 + 4.97550e40i −1.27825 + 0.0843867i
\(409\) 7.15084e41 1.16623 0.583115 0.812390i \(-0.301834\pi\)
0.583115 + 0.812390i \(0.301834\pi\)
\(410\) −2.19926e41 + 1.33502e41i −0.344934 + 0.209385i
\(411\) 5.78592e41i 0.872776i
\(412\) 6.70224e40 + 3.48629e40i 0.0972444 + 0.0505834i
\(413\) 2.67310e40 0.0373090
\(414\) −4.84685e39 7.98453e39i −0.00650810 0.0107212i
\(415\) 1.35688e42i 1.75296i
\(416\) −7.83907e41 3.44192e41i −0.974476 0.427866i
\(417\) −5.57322e41 −0.666698
\(418\) 7.16935e41 4.35201e41i 0.825390 0.501036i
\(419\) 1.14174e42i 1.26515i 0.774498 + 0.632576i \(0.218003\pi\)
−0.774498 + 0.632576i \(0.781997\pi\)
\(420\) 4.96238e40 9.53997e40i 0.0529299 0.101756i
\(421\) 2.75721e39 0.00283110 0.00141555 0.999999i \(-0.499549\pi\)
0.00141555 + 0.999999i \(0.499549\pi\)
\(422\) −1.05426e41 1.73675e41i −0.104219 0.171687i
\(423\) 1.55349e41i 0.147864i
\(424\) 1.02025e41 + 1.54543e42i 0.0935090 + 1.41644i
\(425\) 1.56725e42 1.38330
\(426\) 5.96163e41 3.61889e41i 0.506770 0.307625i
\(427\) 8.57317e40i 0.0701933i
\(428\) 8.79254e41 + 4.57359e41i 0.693448 + 0.360709i
\(429\) −2.01484e42 −1.53082
\(430\) 1.15335e42 + 1.89999e42i 0.844243 + 1.39078i
\(431\) 1.37954e42i 0.972967i −0.873690 0.486484i \(-0.838279\pi\)
0.873690 0.486484i \(-0.161721\pi\)
\(432\) 1.25593e42 8.80588e41i 0.853542 0.598457i
\(433\) −1.83219e42 −1.19995 −0.599976 0.800018i \(-0.704823\pi\)
−0.599976 + 0.800018i \(0.704823\pi\)
\(434\) 2.12953e41 1.29269e41i 0.134415 0.0815938i
\(435\) 1.29290e42i 0.786572i
\(436\) −6.28673e41 + 1.20860e42i −0.368673 + 0.708758i
\(437\) 1.45885e41 0.0824721
\(438\) −5.15960e41 8.49974e41i −0.281210 0.463255i
\(439\) 3.54955e42i 1.86527i −0.360827 0.932633i \(-0.617506\pi\)
0.360827 0.932633i \(-0.382494\pi\)
\(440\) −4.24288e42 + 2.80103e41i −2.14990 + 0.141930i
\(441\) 1.97101e41 0.0963101
\(442\) 2.60260e42 1.57986e42i 1.22646 0.744495i
\(443\) 3.06452e42i 1.39285i −0.717631 0.696423i \(-0.754774\pi\)
0.717631 0.696423i \(-0.245226\pi\)
\(444\) −4.09243e41 2.12875e41i −0.179413 0.0933248i
\(445\) −2.24678e42 −0.950168
\(446\) 3.91905e41 + 6.45610e41i 0.159890 + 0.263398i
\(447\) 4.91006e41i 0.193271i
\(448\) −2.93515e40 2.21333e41i −0.0111476 0.0840617i
\(449\) 2.68427e42 0.983749 0.491875 0.870666i \(-0.336312\pi\)
0.491875 + 0.870666i \(0.336312\pi\)
\(450\) −2.40593e41 + 1.46047e41i −0.0850908 + 0.0516527i
\(451\) 1.25713e42i 0.429095i
\(452\) 2.73824e42 5.26415e42i 0.902103 1.73425i
\(453\) −1.95794e42 −0.622628
\(454\) 1.57063e42 + 2.58740e42i 0.482148 + 0.794274i
\(455\) 4.33462e41i 0.128460i
\(456\) 1.39553e41 + 2.11390e42i 0.0399304 + 0.604848i
\(457\) 1.28397e42 0.354729 0.177365 0.984145i \(-0.443243\pi\)
0.177365 + 0.984145i \(0.443243\pi\)
\(458\) −2.08560e42 + 1.26602e42i −0.556394 + 0.337748i
\(459\) 5.45474e42i 1.40531i
\(460\) −6.56169e41 3.41318e41i −0.163264 0.0849246i
\(461\) −5.93149e42 −1.42544 −0.712721 0.701448i \(-0.752537\pi\)
−0.712721 + 0.701448i \(0.752537\pi\)
\(462\) −2.72658e41 4.49167e41i −0.0632917 0.104264i
\(463\) 2.14282e42i 0.480495i 0.970712 + 0.240248i \(0.0772286\pi\)
−0.970712 + 0.240248i \(0.922771\pi\)
\(464\) 1.54111e42 + 2.19799e42i 0.333845 + 0.476143i
\(465\) 1.19841e43 2.50817
\(466\) −3.96011e42 + 2.40391e42i −0.800816 + 0.486120i
\(467\) 2.77518e42i 0.542278i 0.962540 + 0.271139i \(0.0874003\pi\)
−0.962540 + 0.271139i \(0.912600\pi\)
\(468\) −2.52310e41 + 4.85056e41i −0.0476433 + 0.0915922i
\(469\) −2.08595e41 −0.0380661
\(470\) −6.38330e42 1.05156e43i −1.12585 1.85468i
\(471\) 2.92038e42i 0.497857i
\(472\) 2.66414e42 1.75879e41i 0.439021 0.0289829i
\(473\) 1.08606e43 1.73012
\(474\) −4.82778e42 + 2.93061e42i −0.743522 + 0.451340i
\(475\) 4.39585e42i 0.654554i
\(476\) 7.04392e41 + 3.66402e41i 0.101415 + 0.0527529i
\(477\) 9.89102e41 0.137704
\(478\) 4.32052e41 + 7.11748e41i 0.0581688 + 0.0958252i
\(479\) 9.77483e42i 1.27274i −0.771383 0.636372i \(-0.780434\pi\)
0.771383 0.636372i \(-0.219566\pi\)
\(480\) 4.31807e42 9.83452e42i 0.543788 1.23849i
\(481\) 1.85945e42 0.226498
\(482\) −2.54672e42 + 1.54594e42i −0.300074 + 0.182154i
\(483\) 9.13984e40i 0.0104180i
\(484\) −5.40330e42 + 1.03876e43i −0.595845 + 1.14549i
\(485\) −2.29481e43 −2.44838
\(486\) −9.71669e41 1.60069e42i −0.100309 0.165245i
\(487\) 4.78815e42i 0.478304i 0.970982 + 0.239152i \(0.0768695\pi\)
−0.970982 + 0.239152i \(0.923131\pi\)
\(488\) 5.64081e41 + 8.54446e42i 0.0545286 + 0.825976i
\(489\) 3.91311e42 0.366084
\(490\) 1.33418e43 8.09889e42i 1.20803 0.733311i
\(491\) 4.17934e42i 0.366272i 0.983088 + 0.183136i \(0.0586248\pi\)
−0.983088 + 0.183136i \(0.941375\pi\)
\(492\) −2.81713e42 1.46538e42i −0.238982 0.124311i
\(493\) −9.54628e42 −0.783941
\(494\) −4.43121e42 7.29982e42i −0.352283 0.580338i
\(495\) 2.71551e42i 0.209011i
\(496\) 2.03734e43 1.42847e43i 1.51830 1.06455i
\(497\) −7.33121e41 −0.0529021
\(498\) −1.43163e43 + 8.69041e42i −1.00037 + 0.607254i
\(499\) 2.18612e43i 1.47933i −0.672975 0.739665i \(-0.734984\pi\)
0.672975 0.739665i \(-0.265016\pi\)
\(500\) −2.61770e41 + 5.03242e41i −0.0171554 + 0.0329805i
\(501\) 7.58436e42 0.481410
\(502\) 6.34371e42 + 1.04504e43i 0.390017 + 0.642501i
\(503\) 8.88151e41i 0.0528931i 0.999650 + 0.0264466i \(0.00841918\pi\)
−0.999650 + 0.0264466i \(0.991581\pi\)
\(504\) −1.42277e41 + 9.39271e39i −0.00820816 + 0.000541879i
\(505\) −2.11896e43 −1.18430
\(506\) −3.08942e42 + 1.87537e42i −0.167289 + 0.101550i
\(507\) 2.40300e42i 0.126074i
\(508\) 2.05353e43 + 1.06818e43i 1.04396 + 0.543032i
\(509\) 1.41679e43 0.697946 0.348973 0.937133i \(-0.386530\pi\)
0.348973 + 0.937133i \(0.386530\pi\)
\(510\) 1.98201e43 + 3.26510e43i 0.946202 + 1.55874i
\(511\) 1.04524e42i 0.0483595i
\(512\) −4.38160e42 2.18661e43i −0.196478 0.980508i
\(513\) 1.52995e43 0.664967
\(514\) 9.50984e42 5.77276e42i 0.400648 0.243205i
\(515\) 3.82043e42i 0.156026i
\(516\) −1.26598e43 + 2.43379e43i −0.501222 + 0.963578i
\(517\) −6.01086e43 −2.30721
\(518\) 2.51630e41 + 4.14526e41i 0.00936453 + 0.0154268i
\(519\) 8.39655e42i 0.302987i
\(520\) 2.85201e42 + 4.32010e43i 0.0997923 + 1.51161i
\(521\) 4.87247e43 1.65328 0.826639 0.562733i \(-0.190250\pi\)
0.826639 + 0.562733i \(0.190250\pi\)
\(522\) 1.46547e42 8.89586e41i 0.0482225 0.0292725i
\(523\) 1.24274e42i 0.0396601i −0.999803 0.0198300i \(-0.993687\pi\)
0.999803 0.0198300i \(-0.00631251\pi\)
\(524\) −5.28433e43 2.74874e43i −1.63565 0.850810i
\(525\) −2.75405e42 −0.0826843
\(526\) −9.01990e42 1.48591e43i −0.262682 0.432733i
\(527\) 8.84856e43i 2.49979i
\(528\) −3.01298e43 4.29723e43i −0.825760 1.17773i
\(529\) 3.69803e43 0.983285
\(530\) 6.69525e43 4.06422e43i 1.72724 1.04849i
\(531\) 1.70509e42i 0.0426811i
\(532\) 1.02769e42 1.97569e42i 0.0249618 0.0479880i
\(533\) 1.28000e43 0.301700
\(534\) −1.43900e43 2.37055e43i −0.329155 0.542238i
\(535\) 5.01195e43i 1.11262i
\(536\) −2.07896e43 + 1.37247e42i −0.447930 + 0.0295710i
\(537\) −5.15400e42 −0.107784
\(538\) −1.01750e43 + 6.17656e42i −0.206548 + 0.125381i
\(539\) 7.62635e43i 1.50278i
\(540\) −6.88152e43 3.57954e43i −1.31639 0.684742i
\(541\) −5.93941e43 −1.10303 −0.551515 0.834165i \(-0.685950\pi\)
−0.551515 + 0.834165i \(0.685950\pi\)
\(542\) −3.46979e43 5.71601e43i −0.625625 1.03063i
\(543\) 4.94376e42i 0.0865485i
\(544\) 7.26141e43 + 3.18828e43i 1.23435 + 0.541969i
\(545\) 6.88929e43 1.13718
\(546\) −4.57341e42 + 2.77620e42i −0.0733092 + 0.0445009i
\(547\) 1.03500e44i 1.61118i 0.592476 + 0.805588i \(0.298150\pi\)
−0.592476 + 0.805588i \(0.701850\pi\)
\(548\) −2.80345e43 + 5.38952e43i −0.423842 + 0.814819i
\(549\) 5.46859e42 0.0803004
\(550\) 5.65094e43 + 9.30916e43i 0.805967 + 1.32772i
\(551\) 2.67755e43i 0.370948i
\(552\) −6.01365e41 9.10922e42i −0.00809306 0.122590i
\(553\) 5.93687e42 0.0776168
\(554\) −8.27123e43 + 5.02089e43i −1.05054 + 0.637711i
\(555\) 2.33278e43i 0.287863i
\(556\) 5.19139e43 + 2.70039e43i 0.622425 + 0.323765i
\(557\) 3.46931e43 0.404166 0.202083 0.979368i \(-0.435229\pi\)
0.202083 + 0.979368i \(0.435229\pi\)
\(558\) −8.24568e42 1.35836e43i −0.0933425 0.153769i
\(559\) 1.10582e44i 1.21646i
\(560\) −9.24481e42 + 6.48195e42i −0.0988301 + 0.0692943i
\(561\) 1.86637e44 1.93906
\(562\) 3.28635e43 1.99491e43i 0.331843 0.201439i
\(563\) 1.44724e44i 1.42038i 0.704008 + 0.710192i \(0.251392\pi\)
−0.704008 + 0.710192i \(0.748608\pi\)
\(564\) 7.00662e43 1.34699e44i 0.668410 1.28499i
\(565\) −3.00068e44 −2.78256
\(566\) 7.86746e43 + 1.29606e44i 0.709205 + 1.16832i
\(567\) 8.64664e42i 0.0757737i
\(568\) −7.30665e43 + 4.82364e42i −0.622508 + 0.0410962i
\(569\) −8.69359e43 −0.720117 −0.360059 0.932930i \(-0.617243\pi\)
−0.360059 + 0.932930i \(0.617243\pi\)
\(570\) 9.15800e43 5.55918e43i 0.737569 0.447727i
\(571\) 1.65234e44i 1.29396i −0.762506 0.646981i \(-0.776031\pi\)
0.762506 0.646981i \(-0.223969\pi\)
\(572\) 1.87681e44 + 9.76253e43i 1.42917 + 0.743406i
\(573\) −1.21881e44 −0.902533
\(574\) 1.73216e42 + 2.85350e42i 0.0124738 + 0.0205488i
\(575\) 1.89426e43i 0.132665i
\(576\) −1.41182e43 + 1.87225e42i −0.0961657 + 0.0127528i
\(577\) −8.34544e43 −0.552887 −0.276443 0.961030i \(-0.589156\pi\)
−0.276443 + 0.961030i \(0.589156\pi\)
\(578\) −1.08426e44 + 6.58180e43i −0.698697 + 0.424130i
\(579\) 4.10126e42i 0.0257075i
\(580\) 6.26451e43 1.20433e44i 0.381979 0.734339i
\(581\) 1.76052e43 0.104429
\(582\) −1.46976e44 2.42123e44i −0.848162 1.39723i
\(583\) 3.82709e44i 2.14868i
\(584\) 6.87727e42 + 1.04174e44i 0.0375674 + 0.569054i
\(585\) 2.76493e43 0.146957
\(586\) −5.35421e43 + 3.25017e43i −0.276907 + 0.168091i
\(587\) 6.43456e42i 0.0323824i 0.999869 + 0.0161912i \(0.00515405\pi\)
−0.999869 + 0.0161912i \(0.994846\pi\)
\(588\) 1.70901e44 + 8.88972e43i 0.836966 + 0.435363i
\(589\) 2.48186e44 1.18286
\(590\) −7.00623e43 1.15418e44i −0.324977 0.535355i
\(591\) 3.93795e44i 1.77775i
\(592\) 2.78061e43 + 3.96581e43i 0.122178 + 0.174255i
\(593\) 6.27744e43 0.268477 0.134239 0.990949i \(-0.457141\pi\)
0.134239 + 0.990949i \(0.457141\pi\)
\(594\) −3.24000e44 + 1.96678e44i −1.34885 + 0.818789i
\(595\) 4.01520e43i 0.162718i
\(596\) 2.37907e43 4.57367e43i 0.0938572 0.180437i
\(597\) 6.57707e43 0.252606
\(598\) 1.90950e43 + 3.14564e43i 0.0714004 + 0.117623i
\(599\) 5.41478e43i 0.197129i 0.995131 + 0.0985647i \(0.0314251\pi\)
−0.995131 + 0.0985647i \(0.968575\pi\)
\(600\) −2.74482e44 + 1.81206e43i −0.972959 + 0.0642320i
\(601\) −4.48094e44 −1.54660 −0.773299 0.634042i \(-0.781395\pi\)
−0.773299 + 0.634042i \(0.781395\pi\)
\(602\) 2.46520e43 1.49645e43i 0.0828531 0.0502943i
\(603\) 1.33057e43i 0.0435472i
\(604\) 1.82380e44 + 9.48682e43i 0.581281 + 0.302364i
\(605\) 5.92118e44 1.83790
\(606\) −1.35713e44 2.23570e44i −0.410262 0.675850i
\(607\) 1.09513e44i 0.322440i −0.986919 0.161220i \(-0.948457\pi\)
0.986919 0.161220i \(-0.0515428\pi\)
\(608\) 8.94255e43 2.03669e44i 0.256451 0.584074i
\(609\) 1.67752e43 0.0468587
\(610\) 3.70170e44 2.24704e44i 1.00722 0.611412i
\(611\) 6.12025e44i 1.62222i
\(612\) 2.33718e43 4.49312e43i 0.0603488 0.116018i
\(613\) 1.27103e44 0.319734 0.159867 0.987139i \(-0.448894\pi\)
0.159867 + 0.987139i \(0.448894\pi\)
\(614\) 6.16991e43 + 1.01641e44i 0.151212 + 0.249101i
\(615\) 1.60583e44i 0.383440i
\(616\) 3.63428e42 + 5.50505e43i 0.00845526 + 0.128077i
\(617\) 6.26067e44 1.41925 0.709624 0.704581i \(-0.248865\pi\)
0.709624 + 0.704581i \(0.248865\pi\)
\(618\) 4.03090e43 2.44688e43i 0.0890403 0.0540501i
\(619\) 2.94769e44i 0.634500i 0.948342 + 0.317250i \(0.102759\pi\)
−0.948342 + 0.317250i \(0.897241\pi\)
\(620\) −1.11630e45 5.80665e44i −2.34161 1.21803i
\(621\) −6.59289e43 −0.134775
\(622\) 4.09131e44 + 6.73989e44i 0.815111 + 1.34278i
\(623\) 2.91515e43i 0.0566046i
\(624\) −4.37543e44 + 3.06781e44i −0.828071 + 0.580598i
\(625\) −5.27573e44 −0.973201
\(626\) −5.24906e44 + 3.18634e44i −0.943827 + 0.572931i
\(627\) 5.23482e44i 0.917532i
\(628\) 1.41501e44 2.72030e44i 0.241772 0.464796i
\(629\) −1.72243e44 −0.286900
\(630\) 3.74163e42 + 6.16383e42i 0.00607592 + 0.0100093i
\(631\) 3.61763e44i 0.572736i −0.958120 0.286368i \(-0.907552\pi\)
0.958120 0.286368i \(-0.0924479\pi\)
\(632\) 5.91699e44 3.90623e43i 0.913329 0.0602954i
\(633\) −1.26812e44 −0.190853
\(634\) 7.11476e44 4.31887e44i 1.04408 0.633786i
\(635\) 1.17056e45i 1.67500i
\(636\) 8.57624e44 + 4.46108e44i 1.19669 + 0.622481i
\(637\) −7.76514e44 −1.05662
\(638\) −3.44204e44 5.67029e44i −0.456756 0.752444i
\(639\) 4.67637e43i 0.0605195i
\(640\) −8.78735e44 + 7.06851e44i −1.10912 + 0.892172i
\(641\) −7.60593e44 −0.936319 −0.468159 0.883644i \(-0.655083\pi\)
−0.468159 + 0.883644i \(0.655083\pi\)
\(642\) 5.28806e44 3.21001e44i 0.634945 0.385431i
\(643\) 1.05982e45i 1.24124i −0.784112 0.620619i \(-0.786881\pi\)
0.784112 0.620619i \(-0.213119\pi\)
\(644\) −4.42853e42 + 8.51366e42i −0.00505924 + 0.00972618i
\(645\) 1.38731e45 1.54603
\(646\) 4.10467e44 + 6.76189e44i 0.446229 + 0.735103i
\(647\) 4.77969e44i 0.506911i 0.967347 + 0.253455i \(0.0815671\pi\)
−0.967347 + 0.253455i \(0.918433\pi\)
\(648\) −5.68914e43 8.61768e44i −0.0588636 0.891641i
\(649\) −6.59744e44 −0.665979
\(650\) 9.47857e44 5.75378e44i 0.933532 0.566682i
\(651\) 1.55491e44i 0.149420i
\(652\) −3.64502e44 1.89602e44i −0.341774 0.177779i
\(653\) −1.50534e45 −1.37729 −0.688643 0.725101i \(-0.741793\pi\)
−0.688643 + 0.725101i \(0.741793\pi\)
\(654\) 4.41239e44 + 7.26882e44i 0.393940 + 0.648963i
\(655\) 3.01219e45i 2.62435i
\(656\) 1.91411e44 + 2.72997e44i 0.162744 + 0.232111i
\(657\) 6.66730e43 0.0553228
\(658\) −1.36438e44 + 8.28220e43i −0.110490 + 0.0670705i
\(659\) 1.35593e45i 1.07169i 0.844315 + 0.535847i \(0.180008\pi\)
−0.844315 + 0.535847i \(0.819992\pi\)
\(660\) −1.22476e45 + 2.35455e45i −0.944818 + 1.81637i
\(661\) 1.79337e45 1.35035 0.675176 0.737657i \(-0.264068\pi\)
0.675176 + 0.737657i \(0.264068\pi\)
\(662\) −5.99862e43 9.88191e43i −0.0440883 0.0726295i
\(663\) 1.90034e45i 1.36337i
\(664\) 1.75462e45 1.15835e44i 1.22884 0.0811243i
\(665\) −1.12619e44 −0.0769954
\(666\) 2.64415e43 1.60508e43i 0.0176481 0.0107129i
\(667\) 1.15381e44i 0.0751835i
\(668\) −7.06475e44 3.67485e44i −0.449441 0.233785i
\(669\) 4.71403e44 0.292802
\(670\) 5.46731e44 + 9.00665e44i 0.331571 + 0.546218i
\(671\) 2.11594e45i 1.25297i
\(672\) −1.27601e44 5.60260e43i −0.0737811 0.0323952i
\(673\) −1.07392e45 −0.606361 −0.303181 0.952933i \(-0.598049\pi\)
−0.303181 + 0.952933i \(0.598049\pi\)
\(674\) −4.55342e43 + 2.76406e43i −0.0251061 + 0.0152401i
\(675\) 1.98659e45i 1.06967i
\(676\) 1.16433e44 2.23837e44i 0.0612248 0.117702i
\(677\) 1.73726e45 0.892165 0.446083 0.894992i \(-0.352819\pi\)
0.446083 + 0.894992i \(0.352819\pi\)
\(678\) −1.92185e45 3.16599e45i −0.963929 1.58794i
\(679\) 2.97747e44i 0.145858i
\(680\) −2.64184e44 4.00175e45i −0.126405 1.91473i
\(681\) 1.88924e45 0.882943
\(682\) −5.25586e45 + 3.19046e45i −2.39935 + 1.45648i
\(683\) 3.65073e45i 1.62798i −0.580882 0.813988i \(-0.697292\pi\)
0.580882 0.813988i \(-0.302708\pi\)
\(684\) −1.26024e44 6.55534e43i −0.0548978 0.0285560i
\(685\) 3.07215e45 1.30735
\(686\) −2.10924e44 3.47469e44i −0.0876879 0.144454i
\(687\) 1.52283e45i 0.618507i
\(688\) 2.35849e45 1.65364e45i 0.935876 0.656185i
\(689\) −3.89674e45 −1.51075
\(690\) −3.94637e44 + 2.39557e44i −0.149490 + 0.0907450i
\(691\) 4.60791e45i 1.70551i 0.522309 + 0.852756i \(0.325071\pi\)
−0.522309 + 0.852756i \(0.674929\pi\)
\(692\) −4.06838e44 + 7.82130e44i −0.147138 + 0.282866i
\(693\) 3.52332e43 0.0124515
\(694\) −2.40189e45 3.95680e45i −0.829473 1.36644i
\(695\) 2.95921e45i 0.998664i
\(696\) 1.67190e45 1.10374e44i 0.551394 0.0364014i
\(697\) −1.18568e45 −0.382158
\(698\) 1.02075e45 6.19626e44i 0.321538 0.195183i
\(699\) 2.89154e45i 0.890215i
\(700\) 2.56537e44 + 1.33442e44i 0.0771935 + 0.0401536i
\(701\) 2.86431e45 0.842425 0.421212 0.906962i \(-0.361605\pi\)
0.421212 + 0.906962i \(0.361605\pi\)
\(702\) 2.00257e45 + 3.29897e45i 0.575697 + 0.948383i
\(703\) 4.83110e44i 0.135756i
\(704\) 7.24421e44 + 5.46270e45i 0.198989 + 1.50053i
\(705\) −7.67817e45 −2.06173
\(706\) 1.39912e45 8.49309e44i 0.367265 0.222941i
\(707\) 2.74931e44i 0.0705525i
\(708\) 7.69037e44 1.47844e45i 0.192937 0.370913i
\(709\) 6.73611e45 1.65223 0.826113 0.563504i \(-0.190547\pi\)
0.826113 + 0.563504i \(0.190547\pi\)
\(710\) 1.92152e45 + 3.16545e45i 0.460799 + 0.759104i
\(711\) 3.78696e44i 0.0887928i
\(712\) 1.91805e44 + 2.90538e45i 0.0439724 + 0.666076i
\(713\) −1.06948e45 −0.239741
\(714\) 4.23640e44 2.57162e44i 0.0928593 0.0563684i
\(715\) 1.06982e46i 2.29306i
\(716\) 4.80090e44 + 2.49727e44i 0.100627 + 0.0523428i
\(717\) 5.19695e44 0.106523
\(718\) −3.04564e45 5.01728e45i −0.610502 1.00572i
\(719\) 6.36501e45i 1.24778i 0.781514 + 0.623888i \(0.214448\pi\)
−0.781514 + 0.623888i \(0.785552\pi\)
\(720\) 4.13465e44 + 5.89700e44i 0.0792719 + 0.113061i
\(721\) −4.95693e43 −0.00929498
\(722\) −2.76437e45 + 1.67806e45i −0.506992 + 0.307760i
\(723\) 1.85953e45i 0.333573i
\(724\) −2.39540e44 + 4.60505e44i −0.0420301 + 0.0808012i
\(725\) −3.47672e45 −0.596707
\(726\) 3.79235e45 + 6.24738e45i 0.636681 + 1.04885i
\(727\) 8.93864e45i 1.46798i −0.679159 0.733991i \(-0.737655\pi\)
0.679159 0.733991i \(-0.262345\pi\)
\(728\) 5.60524e44 3.70042e43i 0.0900517 0.00594496i
\(729\) −6.85435e45 −1.07727
\(730\) 4.51311e45 2.73959e45i 0.693921 0.421231i
\(731\) 1.02434e46i 1.54086i
\(732\) 4.74167e45 + 2.46646e45i 0.697837 + 0.362992i
\(733\) −3.50667e45 −0.504930 −0.252465 0.967606i \(-0.581241\pi\)
−0.252465 + 0.967606i \(0.581241\pi\)
\(734\) 3.88998e44 + 6.40822e44i 0.0548038 + 0.0902818i
\(735\) 9.74176e45i 1.34289i
\(736\) −3.85353e44 + 8.77652e44i −0.0519773 + 0.118380i
\(737\) 5.14831e45 0.679492
\(738\) 1.82017e44 1.10490e44i 0.0235077 0.0142699i
\(739\) 3.33091e45i 0.420971i 0.977597 + 0.210486i \(0.0675045\pi\)
−0.977597 + 0.210486i \(0.932496\pi\)
\(740\) 1.13030e45 2.17296e45i 0.139794 0.268747i
\(741\) −5.33009e45 −0.645124
\(742\) −5.27324e44 8.68695e44i −0.0624619 0.102898i
\(743\) 5.60428e45i 0.649679i −0.945769 0.324840i \(-0.894690\pi\)
0.945769 0.324840i \(-0.105310\pi\)
\(744\) −1.02307e45 1.54970e46i −0.116075 1.75825i
\(745\) −2.60710e45 −0.289505
\(746\) 6.06803e45 3.68348e45i 0.659518 0.400347i
\(747\) 1.12299e45i 0.119466i
\(748\) −1.73850e46 9.04313e45i −1.81030 0.941658i
\(749\) −6.50290e44 −0.0662824
\(750\) 1.83725e44 + 3.02663e44i 0.0183311 + 0.0301980i
\(751\) 1.89091e46i 1.84685i 0.383775 + 0.923427i \(0.374624\pi\)
−0.383775 + 0.923427i \(0.625376\pi\)
\(752\) −1.30532e46 + 9.15217e45i −1.24805 + 0.875061i
\(753\) 7.63054e45 0.714226
\(754\) −5.77348e45