Properties

Label 5.33.c.a.3.2
Level $5$
Weight $33$
Character 5.3
Analytic conductor $32.433$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 5 \)
Weight: \( k \) \(=\) \( 33 \)
Character orbit: \([\chi]\) \(=\) 5.c (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(32.4333275711\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 3.2
Character \(\chi\) \(=\) 5.3
Dual form 5.33.c.a.2.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-73528.8 + 73528.8i) q^{2} +(-4.29377e6 - 4.29377e6i) q^{3} -6.51799e9i q^{4} +(-1.18376e11 + 9.62823e10i) q^{5} +6.31431e11 q^{6} +(1.36489e13 - 1.36489e13i) q^{7} +(1.63456e14 + 1.63456e14i) q^{8} -1.81615e15i q^{9} +O(q^{10})\) \(q+(-73528.8 + 73528.8i) q^{2} +(-4.29377e6 - 4.29377e6i) q^{3} -6.51799e9i q^{4} +(-1.18376e11 + 9.62823e10i) q^{5} +6.31431e11 q^{6} +(1.36489e13 - 1.36489e13i) q^{7} +(1.63456e14 + 1.63456e14i) q^{8} -1.81615e15i q^{9} +(1.62449e15 - 1.57835e16i) q^{10} -1.07665e16 q^{11} +(-2.79867e16 + 2.79867e16i) q^{12} +(5.33423e17 + 5.33423e17i) q^{13} +2.00717e18i q^{14} +(9.21691e17 + 9.48633e16i) q^{15} +3.95709e18 q^{16} +(1.80495e19 - 1.80495e19i) q^{17} +(1.33539e20 + 1.33539e20i) q^{18} +4.66461e20i q^{19} +(6.27567e20 + 7.71571e20i) q^{20} -1.17210e20 q^{21} +(7.91647e20 - 7.91647e20i) q^{22} +(7.85489e20 + 7.85489e20i) q^{23} -1.40369e21i q^{24} +(4.74249e21 - 2.27950e22i) q^{25} -7.84438e22 q^{26} +(-1.57545e22 + 1.57545e22i) q^{27} +(-8.89632e22 - 8.89632e22i) q^{28} -2.31649e23i q^{29} +(-7.47460e22 + 6.07956e22i) q^{30} +3.24657e23 q^{31} +(-9.92999e23 + 9.92999e23i) q^{32} +(4.62288e22 + 4.62288e22i) q^{33} +2.65432e24i q^{34} +(-3.01548e23 + 2.92984e24i) q^{35} -1.18376e25 q^{36} +(4.94737e24 - 4.94737e24i) q^{37} +(-3.42983e25 - 3.42983e25i) q^{38} -4.58078e24i q^{39} +(-3.50872e25 - 3.61128e24i) q^{40} -1.24479e26 q^{41} +(8.61831e24 - 8.61831e24i) q^{42} +(-1.83776e25 - 1.83776e25i) q^{43} +7.01759e25i q^{44} +(1.74863e26 + 2.14987e26i) q^{45} -1.15512e26 q^{46} +(3.45135e26 - 3.45135e26i) q^{47} +(-1.69908e25 - 1.69908e25i) q^{48} +7.31845e26i q^{49} +(1.32738e27 + 2.02479e27i) q^{50} -1.55001e26 q^{51} +(3.47684e27 - 3.47684e27i) q^{52} +(-3.32895e27 - 3.32895e27i) q^{53} -2.31682e27i q^{54} +(1.27449e27 - 1.03662e27i) q^{55} +4.46198e27 q^{56} +(2.00288e27 - 2.00288e27i) q^{57} +(1.70329e28 + 1.70329e28i) q^{58} +3.29505e28i q^{59} +(6.18318e26 - 6.00757e27i) q^{60} +1.89259e28 q^{61} +(-2.38717e28 + 2.38717e28i) q^{62} +(-2.47884e28 - 2.47884e28i) q^{63} -1.29032e29i q^{64} +(-1.14503e29 - 1.17850e28i) q^{65} -6.79830e27 q^{66} +(-1.76361e29 + 1.76361e29i) q^{67} +(-1.17647e29 - 1.17647e29i) q^{68} -6.74541e27i q^{69} +(-1.93255e29 - 2.37600e29i) q^{70} -1.94403e29 q^{71} +(2.96861e29 - 2.96861e29i) q^{72} +(3.08897e29 + 3.08897e29i) q^{73} +7.27548e29i q^{74} +(-1.18239e29 + 7.75130e28i) q^{75} +3.04039e30 q^{76} +(-1.46951e29 + 1.46951e29i) q^{77} +(3.36819e29 + 3.36819e29i) q^{78} +3.31447e30i q^{79} +(-4.68423e29 + 3.80998e29i) q^{80} -3.23007e30 q^{81} +(9.15279e30 - 9.15279e30i) q^{82} +(-6.01743e30 - 6.01743e30i) q^{83} +7.63974e29i q^{84} +(-3.98772e29 + 3.87447e30i) q^{85} +2.70257e30 q^{86} +(-9.94648e29 + 9.94648e29i) q^{87} +(-1.75985e30 - 1.75985e30i) q^{88} +2.42982e31i q^{89} +(-2.86652e31 - 2.95031e30i) q^{90} +1.45612e31 q^{91} +(5.11981e30 - 5.11981e30i) q^{92} +(-1.39400e30 - 1.39400e30i) q^{93} +5.07547e31i q^{94} +(-4.49120e31 - 5.52176e31i) q^{95} +8.52741e30 q^{96} +(2.36400e31 - 2.36400e31i) q^{97} +(-5.38116e31 - 5.38116e31i) q^{98} +1.95535e31i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q - 2q^{2} - 2792232q^{3} + 229266409900q^{5} - 645476451240q^{6} + 21807690136848q^{7} + 340768936037220q^{8} + O(q^{10}) \) \( 30q - 2q^{2} - 2792232q^{3} + 229266409900q^{5} - 645476451240q^{6} + 21807690136848q^{7} + 340768936037220q^{8} - 17555754485145450q^{10} - 60908362837533640q^{11} + 444566273630869608q^{12} + 649759187023107138q^{13} + 6285624407445962400q^{15} - 46108906958970522120q^{16} - \)\(21\!\cdots\!02\)\(q^{17} + \)\(24\!\cdots\!58\)\(q^{18} - \)\(30\!\cdots\!00\)\(q^{20} + \)\(45\!\cdots\!60\)\(q^{21} - \)\(11\!\cdots\!44\)\(q^{22} + \)\(13\!\cdots\!08\)\(q^{23} + \)\(35\!\cdots\!50\)\(q^{25} - \)\(23\!\cdots\!40\)\(q^{26} + \)\(17\!\cdots\!60\)\(q^{27} + \)\(59\!\cdots\!12\)\(q^{28} + \)\(12\!\cdots\!00\)\(q^{30} - \)\(12\!\cdots\!40\)\(q^{31} + \)\(31\!\cdots\!68\)\(q^{32} - \)\(16\!\cdots\!04\)\(q^{33} - \)\(81\!\cdots\!00\)\(q^{35} + \)\(31\!\cdots\!80\)\(q^{36} - \)\(12\!\cdots\!02\)\(q^{37} + \)\(57\!\cdots\!80\)\(q^{38} + \)\(21\!\cdots\!00\)\(q^{40} - \)\(15\!\cdots\!40\)\(q^{41} + \)\(79\!\cdots\!36\)\(q^{42} - \)\(54\!\cdots\!52\)\(q^{43} + \)\(10\!\cdots\!50\)\(q^{45} - \)\(34\!\cdots\!40\)\(q^{46} + \)\(27\!\cdots\!48\)\(q^{47} - \)\(31\!\cdots\!92\)\(q^{48} + \)\(44\!\cdots\!50\)\(q^{50} - \)\(61\!\cdots\!40\)\(q^{51} + \)\(60\!\cdots\!28\)\(q^{52} - \)\(11\!\cdots\!82\)\(q^{53} - \)\(71\!\cdots\!00\)\(q^{55} - \)\(47\!\cdots\!00\)\(q^{56} + \)\(44\!\cdots\!20\)\(q^{57} - \)\(29\!\cdots\!80\)\(q^{58} + \)\(34\!\cdots\!00\)\(q^{60} + \)\(50\!\cdots\!60\)\(q^{61} - \)\(21\!\cdots\!24\)\(q^{62} + \)\(21\!\cdots\!08\)\(q^{63} - \)\(34\!\cdots\!50\)\(q^{65} + \)\(13\!\cdots\!20\)\(q^{66} - \)\(73\!\cdots\!52\)\(q^{67} + \)\(10\!\cdots\!12\)\(q^{68} - \)\(36\!\cdots\!00\)\(q^{70} + \)\(81\!\cdots\!60\)\(q^{71} - \)\(95\!\cdots\!20\)\(q^{72} - \)\(37\!\cdots\!42\)\(q^{73} + \)\(10\!\cdots\!00\)\(q^{75} - \)\(66\!\cdots\!00\)\(q^{76} + \)\(63\!\cdots\!56\)\(q^{77} - \)\(91\!\cdots\!84\)\(q^{78} + \)\(58\!\cdots\!00\)\(q^{80} - \)\(14\!\cdots\!70\)\(q^{81} + \)\(27\!\cdots\!36\)\(q^{82} + \)\(49\!\cdots\!28\)\(q^{83} - \)\(44\!\cdots\!50\)\(q^{85} + \)\(16\!\cdots\!60\)\(q^{86} + \)\(36\!\cdots\!80\)\(q^{87} - \)\(47\!\cdots\!60\)\(q^{88} + \)\(81\!\cdots\!50\)\(q^{90} - \)\(10\!\cdots\!40\)\(q^{91} - \)\(18\!\cdots\!52\)\(q^{92} + \)\(11\!\cdots\!16\)\(q^{93} - \)\(10\!\cdots\!00\)\(q^{95} + \)\(38\!\cdots\!60\)\(q^{96} - \)\(15\!\cdots\!02\)\(q^{97} + \)\(12\!\cdots\!02\)\(q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/5\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −73528.8 + 73528.8i −1.12196 + 1.12196i −0.130513 + 0.991447i \(0.541663\pi\)
−0.991447 + 0.130513i \(0.958337\pi\)
\(3\) −4.29377e6 4.29377e6i −0.0997466 0.0997466i 0.655472 0.755219i \(-0.272470\pi\)
−0.755219 + 0.655472i \(0.772470\pi\)
\(4\) 6.51799e9i 1.51759i
\(5\) −1.18376e11 + 9.62823e10i −0.775786 + 0.630996i
\(6\) 6.31431e11 0.223823
\(7\) 1.36489e13 1.36489e13i 0.410703 0.410703i −0.471280 0.881983i \(-0.656208\pi\)
0.881983 + 0.471280i \(0.156208\pi\)
\(8\) 1.63456e14 + 1.63456e14i 0.580713 + 0.580713i
\(9\) 1.81615e15i 0.980101i
\(10\) 1.62449e15 1.57835e16i 0.162449 1.57835i
\(11\) −1.07665e16 −0.234310 −0.117155 0.993114i \(-0.537377\pi\)
−0.117155 + 0.993114i \(0.537377\pi\)
\(12\) −2.79867e16 + 2.79867e16i −0.151374 + 0.151374i
\(13\) 5.33423e17 + 5.33423e17i 0.801637 + 0.801637i 0.983351 0.181714i \(-0.0581646\pi\)
−0.181714 + 0.983351i \(0.558165\pi\)
\(14\) 2.00717e18i 0.921585i
\(15\) 9.21691e17 + 9.48633e16i 0.140322 + 0.0144424i
\(16\) 3.95709e18 0.214514
\(17\) 1.80495e19 1.80495e19i 0.370922 0.370922i −0.496891 0.867813i \(-0.665525\pi\)
0.867813 + 0.496891i \(0.165525\pi\)
\(18\) 1.33539e20 + 1.33539e20i 1.09963 + 1.09963i
\(19\) 4.66461e20i 1.61718i 0.588373 + 0.808589i \(0.299769\pi\)
−0.588373 + 0.808589i \(0.700231\pi\)
\(20\) 6.27567e20 + 7.71571e20i 0.957592 + 1.17732i
\(21\) −1.17210e20 −0.0819325
\(22\) 7.91647e20 7.91647e20i 0.262887 0.262887i
\(23\) 7.85489e20 + 7.85489e20i 0.128084 + 0.128084i 0.768243 0.640159i \(-0.221131\pi\)
−0.640159 + 0.768243i \(0.721131\pi\)
\(24\) 1.40369e21i 0.115848i
\(25\) 4.74249e21 2.27950e22i 0.203688 0.979036i
\(26\) −7.84438e22 −1.79881
\(27\) −1.57545e22 + 1.57545e22i −0.197508 + 0.197508i
\(28\) −8.89632e22 8.89632e22i −0.623278 0.623278i
\(29\) 2.31649e23i 0.925685i −0.886441 0.462842i \(-0.846830\pi\)
0.886441 0.462842i \(-0.153170\pi\)
\(30\) −7.47460e22 + 6.07956e22i −0.173639 + 0.141232i
\(31\) 3.24657e23 0.446312 0.223156 0.974783i \(-0.428364\pi\)
0.223156 + 0.974783i \(0.428364\pi\)
\(32\) −9.92999e23 + 9.92999e23i −0.821390 + 0.821390i
\(33\) 4.62288e22 + 4.62288e22i 0.0233717 + 0.0233717i
\(34\) 2.65432e24i 0.832319i
\(35\) −3.01548e23 + 2.92984e24i −0.0594658 + 0.577770i
\(36\) −1.18376e25 −1.48739
\(37\) 4.94737e24 4.94737e24i 0.401002 0.401002i −0.477584 0.878586i \(-0.658487\pi\)
0.878586 + 0.477584i \(0.158487\pi\)
\(38\) −3.42983e25 3.42983e25i −1.81441 1.81441i
\(39\) 4.58078e24i 0.159921i
\(40\) −3.50872e25 3.61128e24i −0.816937 0.0840817i
\(41\) −1.24479e26 −1.95234 −0.976168 0.217015i \(-0.930368\pi\)
−0.976168 + 0.217015i \(0.930368\pi\)
\(42\) 8.61831e24 8.61831e24i 0.0919250 0.0919250i
\(43\) −1.83776e25 1.83776e25i −0.134522 0.134522i 0.636639 0.771162i \(-0.280324\pi\)
−0.771162 + 0.636639i \(0.780324\pi\)
\(44\) 7.01759e25i 0.355587i
\(45\) 1.74863e26 + 2.14987e26i 0.618440 + 0.760349i
\(46\) −1.15512e26 −0.287410
\(47\) 3.45135e26 3.45135e26i 0.608728 0.608728i −0.333886 0.942613i \(-0.608360\pi\)
0.942613 + 0.333886i \(0.108360\pi\)
\(48\) −1.69908e25 1.69908e25i −0.0213971 0.0213971i
\(49\) 7.31845e26i 0.662646i
\(50\) 1.32738e27 + 2.02479e27i 0.869909 + 1.32697i
\(51\) −1.55001e26 −0.0739965
\(52\) 3.47684e27 3.47684e27i 1.21655 1.21655i
\(53\) −3.32895e27 3.32895e27i −0.858804 0.858804i 0.132393 0.991197i \(-0.457734\pi\)
−0.991197 + 0.132393i \(0.957734\pi\)
\(54\) 2.31682e27i 0.443193i
\(55\) 1.27449e27 1.03662e27i 0.181775 0.147849i
\(56\) 4.46198e27 0.477001
\(57\) 2.00288e27 2.00288e27i 0.161308 0.161308i
\(58\) 1.70329e28 + 1.70329e28i 1.03858 + 1.03858i
\(59\) 3.29505e28i 1.52837i 0.644995 + 0.764187i \(0.276859\pi\)
−0.644995 + 0.764187i \(0.723141\pi\)
\(60\) 6.18318e26 6.00757e27i 0.0219175 0.212951i
\(61\) 1.89259e28 0.514967 0.257484 0.966283i \(-0.417107\pi\)
0.257484 + 0.966283i \(0.417107\pi\)
\(62\) −2.38717e28 + 2.38717e28i −0.500744 + 0.500744i
\(63\) −2.47884e28 2.47884e28i −0.402531 0.402531i
\(64\) 1.29032e29i 1.62862i
\(65\) −1.14503e29 1.17850e28i −1.12773 0.116069i
\(66\) −6.79830e27 −0.0524442
\(67\) −1.76361e29 + 1.76361e29i −1.06956 + 1.06956i −0.0721669 + 0.997393i \(0.522991\pi\)
−0.997393 + 0.0721669i \(0.977009\pi\)
\(68\) −1.17647e29 1.17647e29i −0.562907 0.562907i
\(69\) 6.74541e27i 0.0255519i
\(70\) −1.93255e29 2.37600e29i −0.581516 0.714953i
\(71\) −1.94403e29 −0.466197 −0.233098 0.972453i \(-0.574886\pi\)
−0.233098 + 0.972453i \(0.574886\pi\)
\(72\) 2.96861e29 2.96861e29i 0.569158 0.569158i
\(73\) 3.08897e29 + 3.08897e29i 0.474950 + 0.474950i 0.903512 0.428562i \(-0.140980\pi\)
−0.428562 + 0.903512i \(0.640980\pi\)
\(74\) 7.27548e29i 0.899817i
\(75\) −1.18239e29 + 7.75130e28i −0.117973 + 0.0773383i
\(76\) 3.04039e30 2.45421
\(77\) −1.46951e29 + 1.46951e29i −0.0962320 + 0.0962320i
\(78\) 3.36819e29 + 3.36819e29i 0.179425 + 0.179425i
\(79\) 3.31447e30i 1.44006i 0.693944 + 0.720029i \(0.255872\pi\)
−0.693944 + 0.720029i \(0.744128\pi\)
\(80\) −4.68423e29 + 3.80998e29i −0.166417 + 0.135358i
\(81\) −3.23007e30 −0.940700
\(82\) 9.15279e30 9.15279e30i 2.19044 2.19044i
\(83\) −6.01743e30 6.01743e30i −1.18621 1.18621i −0.978107 0.208104i \(-0.933271\pi\)
−0.208104 0.978107i \(-0.566729\pi\)
\(84\) 7.63974e29i 0.124340i
\(85\) −3.98772e29 + 3.87447e30i −0.0537059 + 0.521806i
\(86\) 2.70257e30 0.301858
\(87\) −9.94648e29 + 9.94648e29i −0.0923339 + 0.0923339i
\(88\) −1.75985e30 1.75985e30i −0.136067 0.136067i
\(89\) 2.42982e31i 1.56796i 0.620787 + 0.783980i \(0.286813\pi\)
−0.620787 + 0.783980i \(0.713187\pi\)
\(90\) −2.86652e31 2.95031e30i −1.54695 0.159216i
\(91\) 1.45612e31 0.658469
\(92\) 5.11981e30 5.11981e30i 0.194379 0.194379i
\(93\) −1.39400e30 1.39400e30i −0.0445181 0.0445181i
\(94\) 5.07547e31i 1.36594i
\(95\) −4.49120e31 5.52176e31i −1.02043 1.25458i
\(96\) 8.52741e30 0.163862
\(97\) 2.36400e31 2.36400e31i 0.384857 0.384857i −0.487992 0.872848i \(-0.662270\pi\)
0.872848 + 0.487992i \(0.162270\pi\)
\(98\) −5.38116e31 5.38116e31i −0.743462 0.743462i
\(99\) 1.95535e31i 0.229648i
\(100\) −1.48577e32 3.09115e31i −1.48577 0.309115i
\(101\) 1.40781e32 1.20061 0.600306 0.799770i \(-0.295045\pi\)
0.600306 + 0.799770i \(0.295045\pi\)
\(102\) 1.13970e31 1.13970e31i 0.0830211 0.0830211i
\(103\) 1.52613e30 + 1.52613e30i 0.00951034 + 0.00951034i 0.711846 0.702336i \(-0.247859\pi\)
−0.702336 + 0.711846i \(0.747859\pi\)
\(104\) 1.74382e32i 0.931042i
\(105\) 1.38748e31 1.12853e31i 0.0635621 0.0516991i
\(106\) 4.89548e32 1.92709
\(107\) 2.10167e32 2.10167e32i 0.711909 0.711909i −0.255026 0.966934i \(-0.582084\pi\)
0.966934 + 0.255026i \(0.0820839\pi\)
\(108\) 1.02688e32 + 1.02688e32i 0.299736 + 0.299736i
\(109\) 3.24067e32i 0.816228i 0.912931 + 0.408114i \(0.133813\pi\)
−0.912931 + 0.408114i \(0.866187\pi\)
\(110\) −1.74901e31 + 1.69933e32i −0.0380635 + 0.369825i
\(111\) −4.24857e31 −0.0799973
\(112\) 5.40098e31 5.40098e31i 0.0881017 0.0881017i
\(113\) 1.61141e32 + 1.61141e32i 0.228009 + 0.228009i 0.811861 0.583851i \(-0.198455\pi\)
−0.583851 + 0.811861i \(0.698455\pi\)
\(114\) 2.94538e32i 0.361963i
\(115\) −1.68611e32 1.73540e31i −0.180186 0.0185453i
\(116\) −1.50989e33 −1.40481
\(117\) 9.68774e32 9.68774e32i 0.785685 0.785685i
\(118\) −2.42281e33 2.42281e33i −1.71477 1.71477i
\(119\) 4.92711e32i 0.304678i
\(120\) 1.35150e32 + 1.66162e32i 0.0730999 + 0.0898736i
\(121\) −1.99546e33 −0.945099
\(122\) −1.39160e33 + 1.39160e33i −0.577773 + 0.577773i
\(123\) 5.34484e32 + 5.34484e32i 0.194739 + 0.194739i
\(124\) 2.11611e33i 0.677317i
\(125\) 1.63336e33 + 3.15498e33i 0.459749 + 0.888049i
\(126\) 3.64531e33 0.903246
\(127\) −5.66419e33 + 5.66419e33i −1.23674 + 1.23674i −0.275413 + 0.961326i \(0.588815\pi\)
−0.961326 + 0.275413i \(0.911185\pi\)
\(128\) 5.22270e33 + 5.22270e33i 1.00585 + 1.00585i
\(129\) 1.57819e32i 0.0268363i
\(130\) 9.28583e33 7.55275e33i 1.39549 1.13504i
\(131\) −5.28215e33 −0.702215 −0.351107 0.936335i \(-0.614195\pi\)
−0.351107 + 0.936335i \(0.614195\pi\)
\(132\) 3.01319e32 3.01319e32i 0.0354686 0.0354686i
\(133\) 6.36667e33 + 6.36667e33i 0.664180 + 0.664180i
\(134\) 2.59352e34i 2.40001i
\(135\) 3.48069e32 3.38184e33i 0.0285973 0.277851i
\(136\) 5.90061e33 0.430799
\(137\) −1.80703e34 + 1.80703e34i −1.17338 + 1.17338i −0.191976 + 0.981400i \(0.561490\pi\)
−0.981400 + 0.191976i \(0.938510\pi\)
\(138\) 4.95982e32 + 4.95982e32i 0.0286682 + 0.0286682i
\(139\) 7.18456e33i 0.369968i 0.982742 + 0.184984i \(0.0592233\pi\)
−0.982742 + 0.184984i \(0.940777\pi\)
\(140\) 1.90967e34 + 1.96549e33i 0.876816 + 0.0902447i
\(141\) −2.96386e33 −0.121437
\(142\) 1.42942e34 1.42942e34i 0.523054 0.523054i
\(143\) −5.74309e33 5.74309e33i −0.187832 0.187832i
\(144\) 7.18666e33i 0.210246i
\(145\) 2.23037e34 + 2.74216e34i 0.584103 + 0.718133i
\(146\) −4.54257e34 −1.06575
\(147\) 3.14237e33 3.14237e33i 0.0660967 0.0660967i
\(148\) −3.22469e34 3.22469e34i −0.608556 0.608556i
\(149\) 6.89326e34i 1.16800i 0.811752 + 0.584002i \(0.198514\pi\)
−0.811752 + 0.584002i \(0.801486\pi\)
\(150\) 2.99455e33 1.43934e34i 0.0455903 0.219131i
\(151\) 3.50808e34 0.480217 0.240109 0.970746i \(-0.422817\pi\)
0.240109 + 0.970746i \(0.422817\pi\)
\(152\) −7.62460e34 + 7.62460e34i −0.939117 + 0.939117i
\(153\) −3.27806e34 3.27806e34i −0.363541 0.363541i
\(154\) 2.16102e34i 0.215937i
\(155\) −3.84315e34 + 3.12588e34i −0.346242 + 0.281621i
\(156\) −2.98575e34 −0.242695
\(157\) 7.54668e34 7.54668e34i 0.553811 0.553811i −0.373728 0.927538i \(-0.621921\pi\)
0.927538 + 0.373728i \(0.121921\pi\)
\(158\) −2.43709e35 2.43709e35i −1.61569 1.61569i
\(159\) 2.85875e34i 0.171326i
\(160\) 2.19386e34 2.13155e35i 0.118929 1.15552i
\(161\) 2.14421e34 0.105209
\(162\) 2.37503e35 2.37503e35i 1.05543 1.05543i
\(163\) 1.84124e35 + 1.84124e35i 0.741498 + 0.741498i 0.972866 0.231368i \(-0.0743203\pi\)
−0.231368 + 0.972866i \(0.574320\pi\)
\(164\) 8.11354e35i 2.96284i
\(165\) −9.92338e33 1.02135e33i −0.0328789 0.00338399i
\(166\) 8.84909e35 2.66176
\(167\) −3.43961e35 + 3.43961e35i −0.939821 + 0.939821i −0.998289 0.0584682i \(-0.981378\pi\)
0.0584682 + 0.998289i \(0.481378\pi\)
\(168\) −1.91587e34 1.91587e34i −0.0475793 0.0475793i
\(169\) 1.26300e35i 0.285244i
\(170\) −2.55564e35 3.14206e35i −0.525190 0.645702i
\(171\) 8.47162e35 1.58500
\(172\) −1.19785e35 + 1.19785e35i −0.204150 + 0.204150i
\(173\) −2.08878e35 2.08878e35i −0.324455 0.324455i 0.526018 0.850473i \(-0.323684\pi\)
−0.850473 + 0.526018i \(0.823684\pi\)
\(174\) 1.46270e35i 0.207190i
\(175\) −2.46396e35 3.75855e35i −0.318438 0.485748i
\(176\) −4.26040e34 −0.0502629
\(177\) 1.41482e35 1.41482e35i 0.152450 0.152450i
\(178\) −1.78662e36 1.78662e36i −1.75919 1.75919i
\(179\) 1.53882e36i 1.38528i 0.721282 + 0.692642i \(0.243553\pi\)
−0.721282 + 0.692642i \(0.756447\pi\)
\(180\) 1.40129e36 1.13975e36i 1.15390 0.938537i
\(181\) −2.37976e36 −1.79339 −0.896697 0.442644i \(-0.854040\pi\)
−0.896697 + 0.442644i \(0.854040\pi\)
\(182\) −1.07067e36 + 1.07067e36i −0.738776 + 0.738776i
\(183\) −8.12635e34 8.12635e34i −0.0513663 0.0513663i
\(184\) 2.56786e35i 0.148760i
\(185\) −1.09304e35 + 1.06199e36i −0.0580613 + 0.564123i
\(186\) 2.04999e35 0.0998950
\(187\) −1.94330e35 + 1.94330e35i −0.0869109 + 0.0869109i
\(188\) −2.24959e36 2.24959e36i −0.923798 0.923798i
\(189\) 4.30063e35i 0.162235i
\(190\) 7.36241e36 + 7.57762e35i 2.55248 + 0.262709i
\(191\) −2.98923e35 −0.0952852 −0.0476426 0.998864i \(-0.515171\pi\)
−0.0476426 + 0.998864i \(0.515171\pi\)
\(192\) −5.54035e35 + 5.54035e35i −0.162449 + 0.162449i
\(193\) 7.61484e35 + 7.61484e35i 0.205468 + 0.205468i 0.802338 0.596870i \(-0.203589\pi\)
−0.596870 + 0.802338i \(0.703589\pi\)
\(194\) 3.47643e36i 0.863587i
\(195\) 4.41048e35 + 5.42253e35i 0.100910 + 0.124065i
\(196\) 4.77016e36 1.00562
\(197\) −2.38449e36 + 2.38449e36i −0.463378 + 0.463378i −0.899761 0.436383i \(-0.856259\pi\)
0.436383 + 0.899761i \(0.356259\pi\)
\(198\) −1.43775e36 1.43775e36i −0.257656 0.257656i
\(199\) 9.96520e36i 1.64754i −0.566922 0.823772i \(-0.691866\pi\)
0.566922 0.823772i \(-0.308134\pi\)
\(200\) 4.50117e36 2.95079e36i 0.686824 0.450254i
\(201\) 1.51450e36 0.213370
\(202\) −1.03515e37 + 1.03515e37i −1.34704 + 1.34704i
\(203\) −3.16175e36 3.16175e36i −0.380182 0.380182i
\(204\) 1.01029e36i 0.112296i
\(205\) 1.47353e37 1.19851e37i 1.51460 1.23192i
\(206\) −2.24429e35 −0.0213404
\(207\) 1.42656e36 1.42656e36i 0.125535 0.125535i
\(208\) 2.11080e36 + 2.11080e36i 0.171963 + 0.171963i
\(209\) 5.02215e36i 0.378922i
\(210\) −1.90407e35 + 1.84999e36i −0.0133099 + 0.129318i
\(211\) 3.70758e36 0.240199 0.120100 0.992762i \(-0.461679\pi\)
0.120100 + 0.992762i \(0.461679\pi\)
\(212\) −2.16981e37 + 2.16981e37i −1.30331 + 1.30331i
\(213\) 8.34721e35 + 8.34721e35i 0.0465016 + 0.0465016i
\(214\) 3.09067e37i 1.59747i
\(215\) 3.94491e36 + 4.06022e35i 0.189244 + 0.0194775i
\(216\) −5.15036e36 −0.229392
\(217\) 4.43121e36 4.43121e36i 0.183302 0.183302i
\(218\) −2.38283e37 2.38283e37i −0.915775 0.915775i
\(219\) 2.65267e36i 0.0947494i
\(220\) −6.75670e36 8.30712e36i −0.224374 0.275859i
\(221\) 1.92560e37 0.594690
\(222\) 3.12392e36 3.12392e36i 0.0897537 0.0897537i
\(223\) −3.90648e37 3.90648e37i −1.04450 1.04450i −0.998963 0.0455366i \(-0.985500\pi\)
−0.0455366 0.998963i \(-0.514500\pi\)
\(224\) 2.71066e37i 0.674694i
\(225\) −4.13990e37 8.61306e36i −0.959554 0.199635i
\(226\) −2.36971e37 −0.511634
\(227\) 5.36850e37 5.36850e37i 1.08004 1.08004i 0.0835337 0.996505i \(-0.473379\pi\)
0.996505 0.0835337i \(-0.0266206\pi\)
\(228\) −1.30547e37 1.30547e37i −0.244799 0.244799i
\(229\) 2.92992e37i 0.512258i 0.966643 + 0.256129i \(0.0824472\pi\)
−0.966643 + 0.256129i \(0.917553\pi\)
\(230\) 1.36738e37 1.11218e37i 0.222969 0.181355i
\(231\) 1.26194e36 0.0191976
\(232\) 3.78645e37 3.78645e37i 0.537557 0.537557i
\(233\) 2.68145e37 + 2.68145e37i 0.355365 + 0.355365i 0.862101 0.506736i \(-0.169148\pi\)
−0.506736 + 0.862101i \(0.669148\pi\)
\(234\) 1.42465e38i 1.76301i
\(235\) −7.62515e36 + 7.40859e37i −0.0881379 + 0.856347i
\(236\) 2.14771e38 2.31944
\(237\) 1.42315e37 1.42315e37i 0.143641 0.143641i
\(238\) 3.62284e37 + 3.62284e37i 0.341836 + 0.341836i
\(239\) 3.78326e36i 0.0333810i −0.999861 0.0166905i \(-0.994687\pi\)
0.999861 0.0166905i \(-0.00531300\pi\)
\(240\) 3.64721e36 + 3.75382e35i 0.0301010 + 0.00309809i
\(241\) −1.14277e38 −0.882444 −0.441222 0.897398i \(-0.645455\pi\)
−0.441222 + 0.897398i \(0.645455\pi\)
\(242\) 1.46724e38 1.46724e38i 1.06036 1.06036i
\(243\) 4.30626e37 + 4.30626e37i 0.291340 + 0.291340i
\(244\) 1.23359e38i 0.781509i
\(245\) −7.04637e37 8.66325e37i −0.418127 0.514072i
\(246\) −7.85999e37 −0.436979
\(247\) −2.48821e38 + 2.48821e38i −1.29639 + 1.29639i
\(248\) 5.30673e37 + 5.30673e37i 0.259179 + 0.259179i
\(249\) 5.16749e37i 0.236641i
\(250\) −3.52081e38 1.11883e38i −1.51218 0.480536i
\(251\) 1.24950e38 0.503451 0.251726 0.967799i \(-0.419002\pi\)
0.251726 + 0.967799i \(0.419002\pi\)
\(252\) −1.61570e38 + 1.61570e38i −0.610876 + 0.610876i
\(253\) −8.45696e36 8.45696e36i −0.0300114 0.0300114i
\(254\) 8.32962e38i 2.77514i
\(255\) 1.83483e37 1.49238e37i 0.0574054 0.0466915i
\(256\) −2.13847e38 −0.628439
\(257\) −3.14722e37 + 3.14722e37i −0.0868955 + 0.0868955i −0.749218 0.662323i \(-0.769571\pi\)
0.662323 + 0.749218i \(0.269571\pi\)
\(258\) −1.16042e37 1.16042e37i −0.0301093 0.0301093i
\(259\) 1.35052e38i 0.329386i
\(260\) −7.68148e37 + 7.46332e38i −0.176145 + 1.71143i
\(261\) −4.20709e38 −0.907265
\(262\) 3.88390e38 3.88390e38i 0.787857 0.787857i
\(263\) 5.13620e38 + 5.13620e38i 0.980280 + 0.980280i 0.999809 0.0195293i \(-0.00621676\pi\)
−0.0195293 + 0.999809i \(0.506217\pi\)
\(264\) 1.51128e37i 0.0271445i
\(265\) 7.14586e38 + 7.35474e37i 1.20815 + 0.124347i
\(266\) −9.36266e38 −1.49037
\(267\) 1.04331e38 1.04331e38i 0.156399 0.156399i
\(268\) 1.14952e39 + 1.14952e39i 1.62315 + 1.62315i
\(269\) 3.09601e38i 0.411876i 0.978565 + 0.205938i \(0.0660245\pi\)
−0.978565 + 0.205938i \(0.933976\pi\)
\(270\) 2.23069e38 + 2.74255e38i 0.279653 + 0.343823i
\(271\) −1.07090e37 −0.0126543 −0.00632717 0.999980i \(-0.502014\pi\)
−0.00632717 + 0.999980i \(0.502014\pi\)
\(272\) 7.14235e37 7.14235e37i 0.0795681 0.0795681i
\(273\) −6.25225e37 6.25225e37i −0.0656801 0.0656801i
\(274\) 2.65738e39i 2.63296i
\(275\) −5.10600e37 + 2.45422e38i −0.0477263 + 0.229398i
\(276\) −4.39665e37 −0.0387772
\(277\) 8.09685e38 8.09685e38i 0.673969 0.673969i −0.284660 0.958629i \(-0.591881\pi\)
0.958629 + 0.284660i \(0.0918806\pi\)
\(278\) −5.28272e38 5.28272e38i −0.415089 0.415089i
\(279\) 5.89626e38i 0.437431i
\(280\) −5.28190e38 + 4.29610e38i −0.370051 + 0.300986i
\(281\) −3.83768e38 −0.253962 −0.126981 0.991905i \(-0.540529\pi\)
−0.126981 + 0.991905i \(0.540529\pi\)
\(282\) 2.17929e38 2.17929e38i 0.136248 0.136248i
\(283\) 5.87085e37 + 5.87085e37i 0.0346831 + 0.0346831i 0.724236 0.689553i \(-0.242193\pi\)
−0.689553 + 0.724236i \(0.742193\pi\)
\(284\) 1.26712e39i 0.707495i
\(285\) −4.42500e37 + 4.29933e38i −0.0233559 + 0.226925i
\(286\) 8.44565e38 0.421480
\(287\) −1.69900e39 + 1.69900e39i −0.801831 + 0.801831i
\(288\) 1.80343e39 + 1.80343e39i 0.805045 + 0.805045i
\(289\) 1.71634e39i 0.724834i
\(290\) −3.65624e39 3.76312e38i −1.46106 0.150377i
\(291\) −2.03009e38 −0.0767763
\(292\) 2.01339e39 2.01339e39i 0.720779 0.720779i
\(293\) 1.48123e39 + 1.48123e39i 0.502043 + 0.502043i 0.912072 0.410029i \(-0.134481\pi\)
−0.410029 + 0.912072i \(0.634481\pi\)
\(294\) 4.62109e38i 0.148316i
\(295\) −3.17255e39 3.90053e39i −0.964397 1.18569i
\(296\) 1.61736e39 0.465735
\(297\) 1.69621e38 1.69621e38i 0.0462783 0.0462783i
\(298\) −5.06853e39 5.06853e39i −1.31045 1.31045i
\(299\) 8.37995e38i 0.205354i
\(300\) 5.05229e38 + 7.70683e38i 0.117368 + 0.179034i
\(301\) −5.01668e38 −0.110498
\(302\) −2.57945e39 + 2.57945e39i −0.538785 + 0.538785i
\(303\) −6.04482e38 6.04482e38i −0.119757 0.119757i
\(304\) 1.84583e39i 0.346908i
\(305\) −2.24037e39 + 1.82223e39i −0.399505 + 0.324942i
\(306\) 4.82063e39 0.815757
\(307\) 4.05852e39 4.05852e39i 0.651859 0.651859i −0.301581 0.953440i \(-0.597514\pi\)
0.953440 + 0.301581i \(0.0975145\pi\)
\(308\) 9.57822e38 + 9.57822e38i 0.146041 + 0.146041i
\(309\) 1.31057e37i 0.00189725i
\(310\) 5.27403e38 5.12424e39i 0.0725029 0.704437i
\(311\) −3.39327e39 −0.443050 −0.221525 0.975155i \(-0.571103\pi\)
−0.221525 + 0.975155i \(0.571103\pi\)
\(312\) 7.48758e38 7.48758e38i 0.0928683 0.0928683i
\(313\) −6.32312e39 6.32312e39i −0.745112 0.745112i 0.228445 0.973557i \(-0.426636\pi\)
−0.973557 + 0.228445i \(0.926636\pi\)
\(314\) 1.10980e40i 1.24271i
\(315\) 5.32102e39 + 5.47655e38i 0.566273 + 0.0582825i
\(316\) 2.16037e40 2.18542
\(317\) 4.79685e39 4.79685e39i 0.461326 0.461326i −0.437764 0.899090i \(-0.644230\pi\)
0.899090 + 0.437764i \(0.144230\pi\)
\(318\) −2.10200e39 2.10200e39i −0.192220 0.192220i
\(319\) 2.49405e39i 0.216898i
\(320\) 1.24235e40 + 1.52743e40i 1.02765 + 1.26346i
\(321\) −1.80482e39 −0.142021
\(322\) −1.57661e39 + 1.57661e39i −0.118040 + 0.118040i
\(323\) 8.41940e39 + 8.41940e39i 0.599847 + 0.599847i
\(324\) 2.10535e40i 1.42759i
\(325\) 1.46891e40 9.62959e39i 0.948115 0.621547i
\(326\) −2.70769e40 −1.66386
\(327\) 1.39147e39 1.39147e39i 0.0814160 0.0814160i
\(328\) −2.03469e40 2.03469e40i −1.13375 1.13375i
\(329\) 9.42140e39i 0.500013i
\(330\) 8.04752e38 6.54556e38i 0.0406855 0.0330920i
\(331\) −9.51082e39 −0.458111 −0.229055 0.973413i \(-0.573564\pi\)
−0.229055 + 0.973413i \(0.573564\pi\)
\(332\) −3.92216e40 + 3.92216e40i −1.80018 + 1.80018i
\(333\) −8.98515e39 8.98515e39i −0.393023 0.393023i
\(334\) 5.05820e40i 2.10888i
\(335\) 3.89638e39 3.78572e40i 0.154862 1.50464i
\(336\) −4.63811e38 −0.0175757
\(337\) 2.44947e39 2.44947e39i 0.0885102 0.0885102i −0.661465 0.749976i \(-0.730065\pi\)
0.749976 + 0.661465i \(0.230065\pi\)
\(338\) −9.28668e39 9.28668e39i −0.320032 0.320032i
\(339\) 1.38381e39i 0.0454863i
\(340\) 2.52538e40 + 2.59920e39i 0.791887 + 0.0815035i
\(341\) −3.49542e39 −0.104575
\(342\) −6.22908e40 + 6.22908e40i −1.77831 + 1.77831i
\(343\) 2.50630e40 + 2.50630e40i 0.682854 + 0.682854i
\(344\) 6.00788e39i 0.156238i
\(345\) 6.49464e38 + 7.98492e38i 0.0161231 + 0.0198228i
\(346\) 3.07171e40 0.728052
\(347\) −7.00506e38 + 7.00506e38i −0.0158540 + 0.0158540i −0.714989 0.699135i \(-0.753568\pi\)
0.699135 + 0.714989i \(0.253568\pi\)
\(348\) 6.48311e39 + 6.48311e39i 0.140125 + 0.140125i
\(349\) 1.99842e40i 0.412554i 0.978494 + 0.206277i \(0.0661348\pi\)
−0.978494 + 0.206277i \(0.933865\pi\)
\(350\) 4.57533e40 + 9.51898e39i 0.902264 + 0.187716i
\(351\) −1.68077e40 −0.316660
\(352\) 1.06911e40 1.06911e40i 0.192460 0.192460i
\(353\) 3.68038e40 + 3.68038e40i 0.633137 + 0.633137i 0.948854 0.315716i \(-0.102245\pi\)
−0.315716 + 0.948854i \(0.602245\pi\)
\(354\) 2.08059e40i 0.342086i
\(355\) 2.30126e40 1.87176e40i 0.361669 0.294168i
\(356\) 1.58376e41 2.37952
\(357\) −2.11558e39 + 2.11558e39i −0.0303906 + 0.0303906i
\(358\) −1.13147e41 1.13147e41i −1.55423 1.55423i
\(359\) 6.42322e40i 0.843804i 0.906641 + 0.421902i \(0.138637\pi\)
−0.906641 + 0.421902i \(0.861363\pi\)
\(360\) −6.55862e39 + 6.37235e40i −0.0824086 + 0.800681i
\(361\) −1.34388e41 −1.61527
\(362\) 1.74981e41 1.74981e41i 2.01212 2.01212i
\(363\) 8.56804e39 + 8.56804e39i 0.0942704 + 0.0942704i
\(364\) 9.49099e40i 0.999286i
\(365\) −6.63072e40 6.82455e39i −0.668152 0.0687682i
\(366\) 1.19504e40 0.115262
\(367\) −4.85289e40 + 4.85289e40i −0.448068 + 0.448068i −0.894712 0.446644i \(-0.852619\pi\)
0.446644 + 0.894712i \(0.352619\pi\)
\(368\) 3.10825e39 + 3.10825e39i 0.0274758 + 0.0274758i
\(369\) 2.26072e41i 1.91349i
\(370\) −7.00500e40 8.61239e40i −0.567781 0.698066i
\(371\) −9.08729e40 −0.705427
\(372\) −9.08610e39 + 9.08610e39i −0.0675601 + 0.0675601i
\(373\) 2.48905e39 + 2.48905e39i 0.0177293 + 0.0177293i 0.715916 0.698187i \(-0.246009\pi\)
−0.698187 + 0.715916i \(0.746009\pi\)
\(374\) 2.85777e40i 0.195021i
\(375\) 6.53351e39 2.05600e40i 0.0427215 0.134438i
\(376\) 1.12829e41 0.706992
\(377\) 1.23567e41 1.23567e41i 0.742063 0.742063i
\(378\) −3.16220e40 3.16220e40i −0.182021 0.182021i
\(379\) 1.82862e40i 0.100901i −0.998727 0.0504506i \(-0.983934\pi\)
0.998727 0.0504506i \(-0.0160657\pi\)
\(380\) −3.59908e41 + 2.92736e41i −1.90394 + 1.54860i
\(381\) 4.86414e40 0.246721
\(382\) 2.19794e40 2.19794e40i 0.106906 0.106906i
\(383\) 1.70157e41 + 1.70157e41i 0.793725 + 0.793725i 0.982098 0.188373i \(-0.0603212\pi\)
−0.188373 + 0.982098i \(0.560321\pi\)
\(384\) 4.48501e40i 0.200661i
\(385\) 3.24661e39 3.15441e40i 0.0139335 0.135377i
\(386\) −1.11982e41 −0.461053
\(387\) −3.33765e40 + 3.33765e40i −0.131846 + 0.131846i
\(388\) −1.54085e41 1.54085e41i −0.584054 0.584054i
\(389\) 1.31225e41i 0.477336i 0.971101 + 0.238668i \(0.0767108\pi\)
−0.971101 + 0.238668i \(0.923289\pi\)
\(390\) −7.23009e40 7.44144e39i −0.252412 0.0259790i
\(391\) 2.83554e40 0.0950183
\(392\) −1.19625e41 + 1.19625e41i −0.384807 + 0.384807i
\(393\) 2.26803e40 + 2.26803e40i 0.0700436 + 0.0700436i
\(394\) 3.50657e41i 1.03978i
\(395\) −3.19124e41 3.92352e41i −0.908671 1.11718i
\(396\) 1.27450e41 0.348511
\(397\) 3.66960e41 3.66960e41i 0.963764 0.963764i −0.0356022 0.999366i \(-0.511335\pi\)
0.999366 + 0.0356022i \(0.0113349\pi\)
\(398\) 7.32729e41 + 7.32729e41i 1.84848 + 1.84848i
\(399\) 5.46740e40i 0.132499i
\(400\) 1.87665e40 9.02017e40i 0.0436941 0.210017i
\(401\) −5.15463e41 −1.15315 −0.576577 0.817043i \(-0.695612\pi\)
−0.576577 + 0.817043i \(0.695612\pi\)
\(402\) −1.11360e41 + 1.11360e41i −0.239393 + 0.239393i
\(403\) 1.73180e41 + 1.73180e41i 0.357780 + 0.357780i
\(404\) 9.17611e41i 1.82204i
\(405\) 3.82361e41 3.10998e41i 0.729782 0.593578i
\(406\) 4.64959e41 0.853097
\(407\) −5.32659e40 + 5.32659e40i −0.0939590 + 0.0939590i
\(408\) −2.53358e40 2.53358e40i −0.0429707 0.0429707i
\(409\) 1.67695e41i 0.273493i 0.990606 + 0.136747i \(0.0436646\pi\)
−0.990606 + 0.136747i \(0.956335\pi\)
\(410\) −2.02215e41 + 1.96472e42i −0.317155 + 3.08148i
\(411\) 1.55180e41 0.234081
\(412\) 9.94731e39 9.94731e39i 0.0144328 0.0144328i
\(413\) 4.49737e41 + 4.49737e41i 0.627708 + 0.627708i
\(414\) 2.09787e41i 0.281691i
\(415\) 1.29169e42 + 1.32945e41i 1.66874 + 0.171752i
\(416\) −1.05938e42 −1.31691
\(417\) 3.08488e40 3.08488e40i 0.0369030 0.0369030i
\(418\) 3.69273e41 + 3.69273e41i 0.425135 + 0.425135i
\(419\) 1.15069e42i 1.27507i −0.770422 0.637534i \(-0.779954\pi\)
0.770422 0.637534i \(-0.220046\pi\)
\(420\) −7.35572e40 9.04359e40i −0.0784579 0.0964611i
\(421\) −1.36468e42 −1.40125 −0.700627 0.713528i \(-0.747096\pi\)
−0.700627 + 0.713528i \(0.747096\pi\)
\(422\) −2.72614e41 + 2.72614e41i −0.269494 + 0.269494i
\(423\) −6.26816e41 6.26816e41i −0.596615 0.596615i
\(424\) 1.08828e42i 0.997438i
\(425\) −3.25838e41 4.97037e41i −0.287593 0.438698i
\(426\) −1.22752e41 −0.104346
\(427\) 2.58317e41 2.58317e41i 0.211499 0.211499i
\(428\) −1.36987e42 1.36987e42i −1.08038 1.08038i
\(429\) 4.93190e40i 0.0374712i
\(430\) −3.19919e41 + 2.60210e41i −0.234177 + 0.190471i
\(431\) −2.07089e42 −1.46056 −0.730281 0.683147i \(-0.760611\pi\)
−0.730281 + 0.683147i \(0.760611\pi\)
\(432\) −6.23421e40 + 6.23421e40i −0.0423684 + 0.0423684i
\(433\) −3.50169e41 3.50169e41i −0.229336 0.229336i 0.583079 0.812415i \(-0.301848\pi\)
−0.812415 + 0.583079i \(0.801848\pi\)
\(434\) 6.51642e41i 0.411314i
\(435\) 2.19750e40 2.13509e41i 0.0133691 0.129894i
\(436\) 2.11227e42 1.23870
\(437\) −3.66400e41 + 3.66400e41i −0.207135 + 0.207135i
\(438\) 1.95047e41 + 1.95047e41i 0.106305 + 0.106305i
\(439\) 2.70111e42i 1.41942i 0.704495 + 0.709709i \(0.251174\pi\)
−0.704495 + 0.709709i \(0.748826\pi\)
\(440\) 3.77766e41 + 3.88808e40i 0.191417 + 0.0197012i
\(441\) 1.32914e42 0.649460
\(442\) −1.41587e42 + 1.41587e42i −0.667218 + 0.667218i
\(443\) 2.77357e42 + 2.77357e42i 1.26061 + 1.26061i 0.950800 + 0.309805i \(0.100264\pi\)
0.309805 + 0.950800i \(0.399736\pi\)
\(444\) 2.76921e41i 0.121403i
\(445\) −2.33949e42 2.87632e42i −0.989376 1.21640i
\(446\) 5.74478e42 2.34377
\(447\) 2.95980e41 2.95980e41i 0.116504 0.116504i
\(448\) −1.76115e42 1.76115e42i −0.668879 0.668879i
\(449\) 1.44734e42i 0.530432i −0.964189 0.265216i \(-0.914557\pi\)
0.964189 0.265216i \(-0.0854433\pi\)
\(450\) 3.67732e42 2.41071e42i 1.30056 0.852598i
\(451\) 1.34020e42 0.457453
\(452\) 1.05032e42 1.05032e42i 0.346024 0.346024i
\(453\) −1.50629e41 1.50629e41i −0.0479001 0.0479001i
\(454\) 7.89478e42i 2.42352i
\(455\) −1.72369e42 + 1.40199e42i −0.510832 + 0.415492i
\(456\) 6.54765e41 0.187348
\(457\) −5.31800e41 + 5.31800e41i −0.146923 + 0.146923i −0.776742 0.629819i \(-0.783129\pi\)
0.629819 + 0.776742i \(0.283129\pi\)
\(458\) −2.15434e42 2.15434e42i −0.574733 0.574733i
\(459\) 5.68724e41i 0.146520i
\(460\) −1.13113e41 + 1.09901e42i −0.0281442 + 0.273448i
\(461\) 1.57789e42 0.379194 0.189597 0.981862i \(-0.439282\pi\)
0.189597 + 0.981862i \(0.439282\pi\)
\(462\) −9.27890e40 + 9.27890e40i −0.0215390 + 0.0215390i
\(463\) −3.55955e42 3.55955e42i −0.798178 0.798178i 0.184630 0.982808i \(-0.440891\pi\)
−0.982808 + 0.184630i \(0.940891\pi\)
\(464\) 9.16657e41i 0.198573i
\(465\) 2.99234e41 + 3.07981e40i 0.0626272 + 0.00644579i
\(466\) −3.94327e42 −0.797411
\(467\) 6.77978e42 6.77978e42i 1.32479 1.32479i 0.414934 0.909852i \(-0.363805\pi\)
0.909852 0.414934i \(-0.136195\pi\)
\(468\) −6.31446e42 6.31446e42i −1.19235 1.19235i
\(469\) 4.81425e42i 0.878543i
\(470\) −4.88678e42 6.00811e42i −0.861900 1.05967i
\(471\) −6.48073e41 −0.110482
\(472\) −5.38596e42 + 5.38596e42i −0.887547 + 0.887547i
\(473\) 1.97863e41 + 1.97863e41i 0.0315200 + 0.0315200i
\(474\) 2.09286e42i 0.322319i
\(475\) 1.06330e43 + 2.21219e42i 1.58328 + 0.329401i
\(476\) −3.21148e42 −0.462375
\(477\) −6.04587e42 + 6.04587e42i −0.841715 + 0.841715i
\(478\) 2.78178e41 + 2.78178e41i 0.0374521 + 0.0374521i
\(479\) 8.92375e41i 0.116193i −0.998311 0.0580964i \(-0.981497\pi\)
0.998311 0.0580964i \(-0.0185031\pi\)
\(480\) −1.00944e42 + 8.21039e41i −0.127122 + 0.103396i
\(481\) 5.27808e42 0.642916
\(482\) 8.40266e42 8.40266e42i 0.990066 0.990066i
\(483\) −9.20672e40 9.20672e40i −0.0104942 0.0104942i
\(484\) 1.30064e43i 1.43427i
\(485\) −5.22284e41 + 5.07450e42i −0.0557235 + 0.541409i
\(486\) −6.33269e42 −0.653744
\(487\) −1.22579e43 + 1.22579e43i −1.22449 + 1.22449i −0.258466 + 0.966020i \(0.583217\pi\)
−0.966020 + 0.258466i \(0.916783\pi\)
\(488\) 3.09356e42 + 3.09356e42i 0.299048 + 0.299048i
\(489\) 1.58117e42i 0.147924i
\(490\) 1.15511e43 + 1.18887e42i 1.04589 + 0.107646i
\(491\) −2.63692e42 −0.231097 −0.115548 0.993302i \(-0.536863\pi\)
−0.115548 + 0.993302i \(0.536863\pi\)
\(492\) 3.48376e42 3.48376e42i 0.295534 0.295534i
\(493\) −4.18116e42 4.18116e42i −0.343357 0.343357i
\(494\) 3.65910e43i 2.90900i
\(495\) −1.88266e42 2.31466e42i −0.144907 0.178158i
\(496\) 1.28470e42 0.0957402
\(497\) −2.65338e42 + 2.65338e42i −0.191468 + 0.191468i
\(498\) −3.79959e42 3.79959e42i −0.265502 0.265502i
\(499\) 1.31661e43i 0.890940i −0.895297 0.445470i \(-0.853037\pi\)
0.895297 0.445470i \(-0.146963\pi\)
\(500\) 2.05642e43 1.06462e43i 1.34769 0.697709i
\(501\) 2.95377e42 0.187488
\(502\) −9.18744e42 + 9.18744e42i −0.564852 + 0.564852i
\(503\) 1.47887e43 + 1.47887e43i 0.880731 + 0.880731i 0.993609 0.112878i \(-0.0360069\pi\)
−0.112878 + 0.993609i \(0.536007\pi\)
\(504\) 8.10362e42i 0.467510i
\(505\) −1.66651e43 + 1.35547e43i −0.931418 + 0.757581i
\(506\) 1.24366e42 0.0673432
\(507\) 5.42302e41 5.42302e41i 0.0284521 0.0284521i
\(508\) 3.69191e43 + 3.69191e43i 1.87686 + 1.87686i
\(509\) 1.64319e42i 0.0809474i 0.999181 + 0.0404737i \(0.0128867\pi\)
−0.999181 + 0.0404737i \(0.987113\pi\)
\(510\) −2.51797e41 + 2.44646e42i −0.0120206 + 0.116793i
\(511\) 8.43220e42 0.390127
\(512\) −6.70742e42 + 6.70742e42i −0.300771 + 0.300771i
\(513\) −7.34889e42 7.34889e42i −0.319406 0.319406i
\(514\) 4.62823e42i 0.194987i
\(515\) −3.27596e41 3.37172e40i −0.0133790 0.00137701i
\(516\) 1.02866e42 0.0407265
\(517\) −3.71589e42 + 3.71589e42i −0.142631 + 0.142631i
\(518\) 9.93021e42 + 9.93021e42i 0.369558 + 0.369558i
\(519\) 1.79375e42i 0.0647267i
\(520\) −1.67900e43 2.06426e43i −0.587484 0.722290i
\(521\) −2.19345e43 −0.744259 −0.372129 0.928181i \(-0.621372\pi\)
−0.372129 + 0.928181i \(0.621372\pi\)
\(522\) 3.09342e43 3.09342e43i 1.01791 1.01791i
\(523\) 3.73189e42 + 3.73189e42i 0.119097 + 0.119097i 0.764143 0.645046i \(-0.223162\pi\)
−0.645046 + 0.764143i \(0.723162\pi\)
\(524\) 3.44290e43i 1.06567i
\(525\) −5.55868e41 + 2.67180e42i −0.0166887 + 0.0802149i
\(526\) −7.55317e43 −2.19967
\(527\) 5.85991e42 5.85991e42i 0.165547 0.165547i
\(528\) 1.82932e41 + 1.82932e41i 0.00501356 + 0.00501356i
\(529\) 3.63749e43i 0.967189i
\(530\) −5.79505e43 + 4.71348e43i −1.49501 + 1.21598i
\(531\) 5.98429e43 1.49796
\(532\) 4.14979e43 4.14979e43i 1.00795 1.00795i
\(533\) −6.64000e43 6.64000e43i −1.56507 1.56507i
\(534\) 1.53427e43i 0.350946i
\(535\) −4.64328e42 + 4.51140e43i −0.103078 + 1.00150i
\(536\) −5.76545e43 −1.24221
\(537\) 6.60733e42 6.60733e42i 0.138177 0.138177i
\(538\) −2.27646e43 2.27646e43i −0.462108 0.462108i
\(539\) 7.87940e42i 0.155265i
\(540\) −2.20428e43 2.26871e42i −0.421664 0.0433990i
\(541\) 1.87852e43 0.348867 0.174434 0.984669i \(-0.444191\pi\)
0.174434 + 0.984669i \(0.444191\pi\)
\(542\) 7.87419e41 7.87419e41i 0.0141977 0.0141977i
\(543\) 1.02181e43 + 1.02181e43i 0.178885 + 0.178885i
\(544\) 3.58463e43i 0.609343i
\(545\) −3.12020e43 3.83617e43i −0.515036 0.633218i
\(546\) 9.19440e42 0.147381
\(547\) 6.77331e43 6.77331e43i 1.05440 1.05440i 0.0559635 0.998433i \(-0.482177\pi\)
0.998433 0.0559635i \(-0.0178231\pi\)
\(548\) 1.17782e44 + 1.17782e44i 1.78070 + 1.78070i
\(549\) 3.43723e43i 0.504720i
\(550\) −1.42912e43 2.17999e43i −0.203829 0.310923i
\(551\) 1.08055e44 1.49700
\(552\) 1.10258e42 1.10258e42i 0.0148383 0.0148383i
\(553\) 4.52387e43 + 4.52387e43i 0.591436 + 0.591436i
\(554\) 1.19070e44i 1.51233i
\(555\) 5.02927e42 4.09062e42i 0.0620608 0.0504779i
\(556\) 4.68289e43 0.561458
\(557\) −4.56808e43 + 4.56808e43i −0.532171 + 0.532171i −0.921218 0.389047i \(-0.872804\pi\)
0.389047 + 0.921218i \(0.372804\pi\)
\(558\) 4.33544e43 + 4.33544e43i 0.490780 + 0.490780i
\(559\) 1.96061e43i 0.215676i
\(560\) −1.19325e42 + 1.15936e43i −0.0127563 + 0.123940i
\(561\) 1.66882e42 0.0173381
\(562\) 2.82180e43 2.82180e43i 0.284935 0.284935i
\(563\) −8.18099e43 8.18099e43i −0.802919 0.802919i 0.180632 0.983551i \(-0.442186\pi\)
−0.983551 + 0.180632i \(0.942186\pi\)
\(564\) 1.93184e43i 0.184291i
\(565\) −3.45903e43 3.56014e42i −0.320759 0.0330135i
\(566\) −8.63353e42 −0.0778262
\(567\) −4.40867e43 + 4.40867e43i −0.386348 + 0.386348i
\(568\) −3.17764e43 3.17764e43i −0.270727 0.270727i
\(569\) 8.47985e43i 0.702412i −0.936298 0.351206i \(-0.885772\pi\)
0.936298 0.351206i \(-0.114228\pi\)
\(570\) −2.83588e43 3.48661e43i −0.228397 0.280806i
\(571\) 1.51113e44 1.18338 0.591691 0.806165i \(-0.298461\pi\)
0.591691 + 0.806165i \(0.298461\pi\)
\(572\) −3.74334e43 + 3.74334e43i −0.285051 + 0.285051i
\(573\) 1.28351e42 + 1.28351e42i 0.00950438 + 0.00950438i
\(574\) 2.49851e44i 1.79924i
\(575\) 2.16304e43 1.41800e43i 0.151488 0.0993095i
\(576\) −2.34342e44 −1.59621
\(577\) −1.08765e44 + 1.08765e44i −0.720568 + 0.720568i −0.968721 0.248153i \(-0.920177\pi\)
0.248153 + 0.968721i \(0.420177\pi\)
\(578\) −1.26201e44 1.26201e44i −0.813234 0.813234i
\(579\) 6.53927e42i 0.0409894i
\(580\) 1.78734e44 1.45376e44i 1.08983 0.886428i
\(581\) −1.64262e44 −0.974361
\(582\) 1.49270e43 1.49270e43i 0.0861399 0.0861399i
\(583\) 3.58412e43 + 3.58412e43i 0.201227 + 0.201227i
\(584\) 1.00982e44i 0.551620i
\(585\) −2.14034e43 + 2.07955e44i −0.113760 + 1.10529i
\(586\) −2.17826e44 −1.12655
\(587\) −2.06363e44 + 2.06363e44i −1.03854 + 1.03854i −0.0393087 + 0.999227i \(0.512516\pi\)
−0.999227 + 0.0393087i \(0.987484\pi\)
\(588\) −2.04819e43 2.04819e43i −0.100308 0.100308i
\(589\) 1.51440e44i 0.721766i
\(590\) 5.20075e44 + 5.35277e43i 2.41231 + 0.248283i
\(591\) 2.04769e43 0.0924409
\(592\) 1.95772e43 1.95772e43i 0.0860207 0.0860207i
\(593\) −7.69129e43 7.69129e43i −0.328945 0.328945i 0.523240 0.852185i \(-0.324723\pi\)
−0.852185 + 0.523240i \(0.824723\pi\)
\(594\) 2.49441e43i 0.103845i
\(595\) 4.74393e43 + 5.83249e43i 0.192250 + 0.236365i
\(596\) 4.49302e44 1.77255
\(597\) −4.27882e43 + 4.27882e43i −0.164337 + 0.164337i
\(598\) −6.16167e43 6.16167e43i −0.230399 0.230399i
\(599\) 6.34714e42i 0.0231073i −0.999933 0.0115536i \(-0.996322\pi\)
0.999933 0.0115536i \(-0.00367772\pi\)
\(600\) −3.19969e43 6.65697e42i −0.113420 0.0235970i
\(601\) −4.35566e44 −1.50336 −0.751679 0.659530i \(-0.770756\pi\)
−0.751679 + 0.659530i \(0.770756\pi\)
\(602\) 3.68870e43 3.68870e43i 0.123974 0.123974i
\(603\) 3.20297e44 + 3.20297e44i 1.04828 + 1.04828i
\(604\) 2.28656e44i 0.728772i
\(605\) 2.36214e44 1.92128e44i 0.733194 0.596353i
\(606\) 8.88936e43 0.268725
\(607\) 2.45046e44 2.45046e44i 0.721486 0.721486i −0.247422 0.968908i \(-0.579583\pi\)
0.968908 + 0.247422i \(0.0795833\pi\)
\(608\) −4.63196e44 4.63196e44i −1.32833 1.32833i
\(609\) 2.71516e43i 0.0758437i
\(610\) 3.07450e43 2.98718e44i 0.0836559 0.812801i
\(611\) 3.68205e44 0.975957
\(612\) −2.13663e44 + 2.13663e44i −0.551706 + 0.551706i
\(613\) −1.49701e44 1.49701e44i −0.376579 0.376579i 0.493288 0.869866i \(-0.335795\pi\)
−0.869866 + 0.493288i \(0.835795\pi\)
\(614\) 5.96836e44i 1.46272i
\(615\) −1.14731e44 1.18085e43i −0.273955 0.0281963i
\(616\) −4.80400e43 −0.111766
\(617\) −5.94730e43 + 5.94730e43i −0.134821 + 0.134821i −0.771297 0.636476i \(-0.780391\pi\)
0.636476 + 0.771297i \(0.280391\pi\)
\(618\) 9.63646e41 + 9.63646e41i 0.00212864 + 0.00212864i
\(619\) 2.09980e44i 0.451989i 0.974129 + 0.225994i \(0.0725631\pi\)
−0.974129 + 0.225994i \(0.927437\pi\)
\(620\) 2.03744e44 + 2.50496e44i 0.427384 + 0.525453i
\(621\) −2.47500e43 −0.0505953
\(622\) 2.49503e44 2.49503e44i 0.497084 0.497084i
\(623\) 3.31643e44 + 3.31643e44i 0.643966 + 0.643966i
\(624\) 1.81266e43i 0.0343054i
\(625\) −4.97119e44 2.16210e44i −0.917022 0.398837i
\(626\) 9.29862e44 1.67197
\(627\) −2.15640e43 + 2.15640e43i −0.0377962 + 0.0377962i
\(628\) −4.91892e44 4.91892e44i −0.840457 0.840457i
\(629\) 1.78595e44i 0.297481i
\(630\) −4.31516e44 + 3.50979e44i −0.700726 + 0.569945i
\(631\) 8.53003e44 1.35046 0.675229 0.737608i \(-0.264045\pi\)
0.675229 + 0.737608i \(0.264045\pi\)
\(632\) −5.41770e44 + 5.41770e44i −0.836261 + 0.836261i
\(633\) −1.59195e43 1.59195e43i −0.0239590 0.0239590i
\(634\) 7.05412e44i 1.03518i
\(635\) 1.25140e44 1.21586e45i 0.179068 1.73982i
\(636\) 1.86333e44 0.260002
\(637\) −3.90382e44 + 3.90382e44i −0.531201 + 0.531201i
\(638\) −1.83385e44 1.83385e44i −0.243350 0.243350i
\(639\) 3.53064e44i 0.456920i
\(640\) −1.12109e45 1.15386e44i −1.41502 0.145638i
\(641\) −9.50370e44 −1.16994 −0.584971 0.811054i \(-0.698894\pi\)
−0.584971 + 0.811054i \(0.698894\pi\)
\(642\) 1.32706e44 1.32706e44i 0.159342 0.159342i
\(643\) 9.01509e44 + 9.01509e44i 1.05583 + 1.05583i 0.998346 + 0.0574844i \(0.0183079\pi\)
0.0574844 + 0.998346i \(0.481692\pi\)
\(644\) 1.39759e44i 0.159664i
\(645\) −1.51951e43 1.86819e43i −0.0169336 0.0208192i
\(646\) −1.23814e45 −1.34601
\(647\) 5.98377e44 5.98377e44i 0.634609 0.634609i −0.314612 0.949220i \(-0.601874\pi\)
0.949220 + 0.314612i \(0.101874\pi\)
\(648\) −5.27974e44 5.27974e44i −0.546277 0.546277i
\(649\) 3.54761e44i 0.358114i
\(650\) −3.72019e44 + 1.78812e45i −0.366397 + 1.76110i
\(651\) −3.80531e43 −0.0365674
\(652\) 1.20012e45 1.20012e45i 1.12529 1.12529i
\(653\) −1.35964e45 1.35964e45i −1.24398 1.24398i −0.958335 0.285647i \(-0.907792\pi\)
−0.285647 0.958335i \(-0.592208\pi\)
\(654\) 2.04626e44i 0.182691i
\(655\) 6.25277e44 5.08578e44i 0.544768 0.443095i
\(656\) −4.92575e44 −0.418804
\(657\) 5.61003e44 5.61003e44i 0.465500 0.465500i
\(658\) 6.92744e44 + 6.92744e44i 0.560994 + 0.560994i
\(659\) 3.61938e44i 0.286067i 0.989718 + 0.143033i \(0.0456857\pi\)
−0.989718 + 0.143033i \(0.954314\pi\)
\(660\) −6.65712e42 + 6.46805e43i −0.00513551 + 0.0498966i
\(661\) −3.80764e44 −0.286704 −0.143352 0.989672i \(-0.545788\pi\)
−0.143352 + 0.989672i \(0.545788\pi\)
\(662\) 6.99319e44 6.99319e44i 0.513982 0.513982i
\(663\) −8.26809e43 8.26809e43i −0.0593183 0.0593183i
\(664\) 1.96717e45i 1.37770i
\(665\) −1.36666e45 1.40660e44i −0.934357 0.0961669i
\(666\) 1.32133e45 0.881912
\(667\) 1.81958e44 1.81958e44i 0.118565 0.118565i
\(668\) 2.24193e45 + 2.24193e45i 1.42626 + 1.42626i
\(669\) 3.35470e44i 0.208371i
\(670\) 2.49710e45 + 3.07009e45i 1.51439 + 1.86189i
\(671\) −2.03766e44 −0.120662
\(672\) 1.16390e44 1.16390e44i 0.0672985 0.0672985i
\(673\) 2.30699e45 + 2.30699e45i 1.30258 + 1.30258i 0.926645 + 0.375938i \(0.122679\pi\)
0.375938 + 0.926645i \(0.377321\pi\)
\(674\) 3.60213e44i 0.198610i
\(675\) 2.84408e44 + 4.33840e44i 0.153138 + 0.233598i
\(676\) 8.23222e44 0.432882
\(677\) −2.41143e45 + 2.41143e45i −1.23839 + 1.23839i −0.277728 + 0.960660i \(0.589582\pi\)
−0.960660 + 0.277728i \(0.910418\pi\)
\(678\) 1.01750e44 + 1.01750e44i 0.0510338 + 0.0510338i
\(679\) 6.45317e44i 0.316124i
\(680\) −6.98488e44 + 5.68124e44i −0.334208 + 0.271832i
\(681\) −4.61022e44 −0.215460
\(682\) 2.57014e44 2.57014e44i 0.117329 0.117329i
\(683\) 7.65334e44 + 7.65334e44i 0.341287 + 0.341287i 0.856851 0.515564i \(-0.172418\pi\)
−0.515564 + 0.856851i \(0.672418\pi\)
\(684\) 5.52180e45i 2.40538i
\(685\) 3.99232e44 3.87894e45i 0.169893 1.65068i
\(686\) −3.68571e45 −1.53227
\(687\) 1.25804e44 1.25804e44i 0.0510960 0.0510960i
\(688\) −7.27220e43 7.27220e43i −0.0288570 0.0288570i
\(689\) 3.55148e45i 1.37690i
\(690\) −1.06466e44 1.09579e43i −0.0403299 0.00415088i
\(691\) −2.84955e45 −1.05470 −0.527349 0.849649i \(-0.676814\pi\)
−0.527349 + 0.849649i \(0.676814\pi\)
\(692\) −1.36146e45 + 1.36146e45i −0.492390 + 0.492390i
\(693\) 2.66884e44 + 2.66884e44i 0.0943171 + 0.0943171i
\(694\) 1.03015e44i 0.0355752i
\(695\) −6.91747e44 8.50477e44i −0.233448 0.287016i
\(696\) −3.25163e44 −0.107239
\(697\) −2.24679e45 + 2.24679e45i −0.724165 + 0.724165i
\(698\) −1.46942e45 1.46942e45i −0.462869 0.462869i
\(699\) 2.30270e44i 0.0708930i
\(700\) −2.44982e45 + 1.60600e45i −0.737166 + 0.483257i
\(701\) 8.83073e44 0.259722 0.129861 0.991532i \(-0.458547\pi\)
0.129861 + 0.991532i \(0.458547\pi\)
\(702\) 1.23585e45 1.23585e45i 0.355280 0.355280i
\(703\) 2.30776e45 + 2.30776e45i 0.648492 + 0.648492i
\(704\) 1.38923e45i 0.381602i
\(705\) 3.50848e44 2.85367e44i 0.0942092 0.0766263i
\(706\) −5.41228e45 −1.42071
\(707\) 1.92150e45 1.92150e45i 0.493095 0.493095i
\(708\) −9.22176e44 9.22176e44i −0.231357 0.231357i
\(709\) 2.85476e45i 0.700213i 0.936710 + 0.350106i \(0.113855\pi\)
−0.936710 + 0.350106i \(0.886145\pi\)
\(710\) −3.15806e44 + 3.06836e45i −0.0757332 + 0.735823i
\(711\) 6.01956e45 1.41140
\(712\) −3.97170e45 + 3.97170e45i −0.910535 + 0.910535i
\(713\) 2.55015e44 + 2.55015e44i 0.0571653 + 0.0571653i
\(714\) 3.11113e44i 0.0681940i
\(715\) 1.23280e45 + 1.26884e44i 0.264238 + 0.0271962i
\(716\) 1.00300e46 2.10229
\(717\) −1.62444e43 + 1.62444e43i −0.00332964 + 0.00332964i
\(718\) −4.72292e45 4.72292e45i −0.946715 0.946715i
\(719\) 3.50390e45i 0.686894i −0.939172 0.343447i \(-0.888405\pi\)
0.939172 0.343447i \(-0.111595\pi\)
\(720\) 6.91948e44 + 8.50725e44i 0.132664 + 0.163106i
\(721\) 4.16599e43 0.00781185
\(722\) 9.88136e45 9.88136e45i 1.81226 1.81226i
\(723\) 4.90680e44 + 4.90680e44i 0.0880208 + 0.0880208i
\(724\) 1.55113e46i 2.72163i
\(725\) −5.28044e45 1.09860e45i −0.906278 0.188551i
\(726\) −1.25999e45 −0.211535
\(727\) 6.22114e44 6.22114e44i 0.102169 0.102169i −0.654175 0.756344i \(-0.726984\pi\)
0.756344 + 0.654175i \(0.226984\pi\)
\(728\) 2.38012e45 + 2.38012e45i 0.382382 + 0.382382i
\(729\) 5.61557e45i 0.882579i
\(730\) 5.37729e45 4.37369e45i 0.826795 0.672484i
\(731\) −6.63415e44 −0.0997947
\(732\) −5.29675e44 + 5.29675e44i −0.0779529 + 0.0779529i
\(733\) 3.05780e45 + 3.05780e45i 0.440296 + 0.440296i 0.892111 0.451815i \(-0.149223\pi\)
−0.451815 + 0.892111i \(0.649223\pi\)
\(734\) 7.13654e45i 1.00543i
\(735\) −6.94252e43 + 6.74534e44i −0.00957017 + 0.0929837i
\(736\) −1.55998e45 −0.210414
\(737\) 1.89879e45 1.89879e45i 0.250609 0.250609i
\(738\) −1.66228e46 1.66228e46i −2.14686 2.14686i
\(739\) 1.32401e46i 1.67333i 0.547716 + 0.836664i \(0.315497\pi\)
−0.547716 + 0.836664i \(0.684503\pi\)
\(740\) 6.92206e45 + 7.12439e44i 0.856106 + 0.0881131i
\(741\) 2.13676e45 0.258621
\(742\) 6.68177e45 6.68177e45i 0.791461 0.791461i
\(743\) −5.48359e45 5.48359e45i −0.635688 0.635688i 0.313801 0.949489i \(-0.398398\pi\)
−0.949489 + 0.313801i \(0.898398\pi\)
\(744\) 4.55717e44i 0.0517045i
\(745\) −6.63699e45 8.15993e45i −0.737006 0.906121i
\(746\) −3.66034e44 −0.0397832
\(747\) −1.09285e46 + 1.09285e46i −1.16261 + 1.16261i
\(748\) 1.26664e45 + 1.26664e45i 0.131895 + 0.131895i
\(749\) 5.73709e45i 0.584766i
\(750\) 1.03135e45 + 1.99215e45i 0.102903 + 0.198766i
\(751\) 1.34012e46 1.30889 0.654447 0.756108i \(-0.272902\pi\)
0.654447 + 0.756108i \(0.272902\pi\)
\(752\) 1.36573e45 1.36573e45i 0.130581 0.130581i
\(753\) −5.36507e44 5.36507e44i