Properties

Label 5.33.c.a.2.14
Level $5$
Weight $33$
Character 5.2
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 2.14
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.14

$q$-expansion

\(f(q)\) \(=\) \(q+(68938.0 + 68938.0i) q^{2} +(5.43018e7 - 5.43018e7i) q^{3} +5.20993e9i q^{4} +(1.52114e11 + 1.20131e10i) q^{5} +7.48691e12 q^{6} +(3.40627e13 + 3.40627e13i) q^{7} +(-6.30755e13 + 6.30755e13i) q^{8} -4.04435e15i q^{9} +O(q^{10})\) \(q+(68938.0 + 68938.0i) q^{2} +(5.43018e7 - 5.43018e7i) q^{3} +5.20993e9i q^{4} +(1.52114e11 + 1.20131e10i) q^{5} +7.48691e12 q^{6} +(3.40627e13 + 3.40627e13i) q^{7} +(-6.30755e13 + 6.30755e13i) q^{8} -4.04435e15i q^{9} +(9.65829e15 + 1.13146e16i) q^{10} -2.53298e16 q^{11} +(2.82908e17 + 2.82908e17i) q^{12} +(-3.66702e17 + 3.66702e17i) q^{13} +4.69643e18i q^{14} +(8.91241e18 - 7.60774e18i) q^{15} +1.36799e19 q^{16} +(-5.02607e19 - 5.02607e19i) q^{17} +(2.78809e20 - 2.78809e20i) q^{18} +6.86820e19i q^{19} +(-6.25876e19 + 7.92504e20i) q^{20} +3.69933e21 q^{21} +(-1.74618e21 - 1.74618e21i) q^{22} +(-1.56416e21 + 1.56416e21i) q^{23} +6.85023e21i q^{24} +(2.29944e22 + 3.65474e21i) q^{25} -5.05594e22 q^{26} +(-1.18993e23 - 1.18993e23i) q^{27} +(-1.77464e23 + 1.77464e23i) q^{28} +6.33352e22i q^{29} +(1.13887e24 + 8.99413e22i) q^{30} +5.37773e23 q^{31} +(1.21397e24 + 1.21397e24i) q^{32} +(-1.37545e24 + 1.37545e24i) q^{33} -6.92974e24i q^{34} +(4.77223e24 + 5.59063e24i) q^{35} +2.10708e25 q^{36} +(-4.80649e24 - 4.80649e24i) q^{37} +(-4.73480e24 + 4.73480e24i) q^{38} +3.98252e25i q^{39} +(-1.03524e25 + 8.83695e24i) q^{40} -7.84311e25 q^{41} +(2.55025e26 + 2.55025e26i) q^{42} +(6.30866e25 - 6.30866e25i) q^{43} -1.31966e26i q^{44} +(4.85853e25 - 6.15203e26i) q^{45} -2.15660e26 q^{46} +(2.58891e26 + 2.58891e26i) q^{47} +(7.42841e26 - 7.42841e26i) q^{48} +1.21611e27i q^{49} +(1.33324e27 + 1.83714e27i) q^{50} -5.45849e27 q^{51} +(-1.91049e27 - 1.91049e27i) q^{52} +(-4.72711e27 + 4.72711e27i) q^{53} -1.64063e28i q^{54} +(-3.85302e27 - 3.04290e26i) q^{55} -4.29705e27 q^{56} +(3.72956e27 + 3.72956e27i) q^{57} +(-4.36620e27 + 4.36620e27i) q^{58} -2.35680e28i q^{59} +(3.96358e28 + 4.64330e28i) q^{60} -2.89064e28 q^{61} +(3.70730e28 + 3.70730e28i) q^{62} +(1.37762e29 - 1.37762e29i) q^{63} +1.08623e29i q^{64} +(-6.01859e28 + 5.13754e28i) q^{65} -1.89642e29 q^{66} +(-6.00135e28 - 6.00135e28i) q^{67} +(2.61855e29 - 2.61855e29i) q^{68} +1.69874e29i q^{69} +(-5.64189e28 + 7.14394e29i) q^{70} -3.68812e28 q^{71} +(2.55099e29 + 2.55099e29i) q^{72} +(1.90036e29 - 1.90036e29i) q^{73} -6.62699e29i q^{74} +(1.44710e30 - 1.05018e30i) q^{75} -3.57829e29 q^{76} +(-8.62802e29 - 8.62802e29i) q^{77} +(-2.74547e30 + 2.74547e30i) q^{78} -3.04239e30i q^{79} +(2.08090e30 + 1.64338e29i) q^{80} -5.42881e30 q^{81} +(-5.40688e30 - 5.40688e30i) q^{82} +(1.94115e30 - 1.94115e30i) q^{83} +1.92733e31i q^{84} +(-7.04158e30 - 8.24916e30i) q^{85} +8.69813e30 q^{86} +(3.43922e30 + 3.43922e30i) q^{87} +(1.59769e30 - 1.59769e30i) q^{88} +2.88856e31i q^{89} +(4.57602e31 - 3.90615e31i) q^{90} -2.49817e31 q^{91} +(-8.14917e30 - 8.14917e30i) q^{92} +(2.92020e31 - 2.92020e31i) q^{93} +3.56948e31i q^{94} +(-8.25087e29 + 1.04475e31i) q^{95} +1.31841e32 q^{96} +(-1.59758e31 - 1.59758e31i) q^{97} +(-8.38363e31 + 8.38363e31i) q^{98} +1.02442e32i 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 \(\left(\mathbb{Z}/5\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 68938.0 + 68938.0i 1.05191 + 1.05191i 0.998577 + 0.0533336i \(0.0169847\pi\)
0.0533336 + 0.998577i \(0.483015\pi\)
\(3\) 5.43018e7 5.43018e7i 1.26146 1.26146i 0.311077 0.950385i \(-0.399310\pi\)
0.950385 0.311077i \(-0.100690\pi\)
\(4\) 5.20993e9i 1.21303i
\(5\) 1.52114e11 + 1.20131e10i 0.996896 + 0.0787293i
\(6\) 7.48691e12 2.65389
\(7\) 3.40627e13 + 3.40627e13i 1.02497 + 1.02497i 0.999680 + 0.0252890i \(0.00805061\pi\)
0.0252890 + 0.999680i \(0.491949\pi\)
\(8\) −6.30755e13 + 6.30755e13i −0.224089 + 0.224089i
\(9\) 4.04435e15i 2.18257i
\(10\) 9.65829e15 + 1.13146e16i 0.965829 + 1.13146i
\(11\) −2.53298e16 −0.551250 −0.275625 0.961265i \(-0.588885\pi\)
−0.275625 + 0.961265i \(0.588885\pi\)
\(12\) 2.82908e17 + 2.82908e17i 1.53019 + 1.53019i
\(13\) −3.66702e17 + 3.66702e17i −0.551086 + 0.551086i −0.926754 0.375668i \(-0.877413\pi\)
0.375668 + 0.926754i \(0.377413\pi\)
\(14\) 4.69643e18i 2.15635i
\(15\) 8.91241e18 7.60774e18i 1.35686 1.15823i
\(16\) 1.36799e19 0.741587
\(17\) −5.02607e19 5.02607e19i −1.03287 1.03287i −0.999441 0.0334292i \(-0.989357\pi\)
−0.0334292 0.999441i \(-0.510643\pi\)
\(18\) 2.78809e20 2.78809e20i 2.29587 2.29587i
\(19\) 6.86820e19i 0.238114i 0.992887 + 0.119057i \(0.0379872\pi\)
−0.992887 + 0.119057i \(0.962013\pi\)
\(20\) −6.25876e19 + 7.92504e20i −0.0955011 + 1.20927i
\(21\) 3.69933e21 2.58592
\(22\) −1.74618e21 1.74618e21i −0.579866 0.579866i
\(23\) −1.56416e21 + 1.56416e21i −0.255056 + 0.255056i −0.823040 0.567983i \(-0.807724\pi\)
0.567983 + 0.823040i \(0.307724\pi\)
\(24\) 6.85023e21i 0.565360i
\(25\) 2.29944e22 + 3.65474e21i 0.987603 + 0.156970i
\(26\) −5.05594e22 −1.15939
\(27\) −1.18993e23 1.18993e23i −1.49177 1.49177i
\(28\) −1.77464e23 + 1.77464e23i −1.24332 + 1.24332i
\(29\) 6.33352e22i 0.253091i 0.991961 + 0.126546i \(0.0403890\pi\)
−0.991961 + 0.126546i \(0.959611\pi\)
\(30\) 1.13887e24 + 8.99413e22i 2.64565 + 0.208939i
\(31\) 5.37773e23 0.739285 0.369642 0.929174i \(-0.379480\pi\)
0.369642 + 0.929174i \(0.379480\pi\)
\(32\) 1.21397e24 + 1.21397e24i 1.00417 + 1.00417i
\(33\) −1.37545e24 + 1.37545e24i −0.695381 + 0.695381i
\(34\) 6.92974e24i 2.17297i
\(35\) 4.77223e24 + 5.59063e24i 0.941093 + 1.10248i
\(36\) 2.10708e25 2.64753
\(37\) −4.80649e24 4.80649e24i −0.389583 0.389583i 0.484956 0.874539i \(-0.338836\pi\)
−0.874539 + 0.484956i \(0.838836\pi\)
\(38\) −4.73480e24 + 4.73480e24i −0.250475 + 0.250475i
\(39\) 3.98252e25i 1.39035i
\(40\) −1.03524e25 + 8.83695e24i −0.241036 + 0.205751i
\(41\) −7.84311e25 −1.23012 −0.615059 0.788481i \(-0.710868\pi\)
−0.615059 + 0.788481i \(0.710868\pi\)
\(42\) 2.55025e26 + 2.55025e26i 2.72015 + 2.72015i
\(43\) 6.30866e25 6.30866e25i 0.461787 0.461787i −0.437454 0.899241i \(-0.644120\pi\)
0.899241 + 0.437454i \(0.144120\pi\)
\(44\) 1.31966e26i 0.668683i
\(45\) 4.85853e25 6.15203e26i 0.171832 2.17580i
\(46\) −2.15660e26 −0.536593
\(47\) 2.58891e26 + 2.58891e26i 0.456615 + 0.456615i 0.897543 0.440927i \(-0.145350\pi\)
−0.440927 + 0.897543i \(0.645350\pi\)
\(48\) 7.42841e26 7.42841e26i 0.935484 0.935484i
\(49\) 1.21611e27i 1.10112i
\(50\) 1.33324e27 + 1.83714e27i 0.873752 + 1.20399i
\(51\) −5.45849e27 −2.60585
\(52\) −1.91049e27 1.91049e27i −0.668485 0.668485i
\(53\) −4.72711e27 + 4.72711e27i −1.21950 + 1.21950i −0.251693 + 0.967807i \(0.580987\pi\)
−0.967807 + 0.251693i \(0.919013\pi\)
\(54\) 1.64063e28i 3.13841i
\(55\) −3.85302e27 3.04290e26i −0.549539 0.0433995i
\(56\) −4.29705e27 −0.459369
\(57\) 3.72956e27 + 3.72956e27i 0.300372 + 0.300372i
\(58\) −4.36620e27 + 4.36620e27i −0.266229 + 0.266229i
\(59\) 2.35680e28i 1.09318i −0.837402 0.546588i \(-0.815926\pi\)
0.837402 0.546588i \(-0.184074\pi\)
\(60\) 3.96358e28 + 4.64330e28i 1.40497 + 1.64591i
\(61\) −2.89064e28 −0.786533 −0.393266 0.919425i \(-0.628655\pi\)
−0.393266 + 0.919425i \(0.628655\pi\)
\(62\) 3.70730e28 + 3.70730e28i 0.777661 + 0.777661i
\(63\) 1.37762e29 1.37762e29i 2.23707 2.23707i
\(64\) 1.08623e29i 1.37101i
\(65\) −6.01859e28 + 5.13754e28i −0.592762 + 0.505989i
\(66\) −1.89642e29 −1.46296
\(67\) −6.00135e28 6.00135e28i −0.363959 0.363959i 0.501309 0.865268i \(-0.332852\pi\)
−0.865268 + 0.501309i \(0.832852\pi\)
\(68\) 2.61855e29 2.61855e29i 1.25290 1.25290i
\(69\) 1.69874e29i 0.643488i
\(70\) −5.64189e28 + 7.14394e29i −0.169768 + 2.14966i
\(71\) −3.68812e28 −0.0884446 −0.0442223 0.999022i \(-0.514081\pi\)
−0.0442223 + 0.999022i \(0.514081\pi\)
\(72\) 2.55099e29 + 2.55099e29i 0.489091 + 0.489091i
\(73\) 1.90036e29 1.90036e29i 0.292193 0.292193i −0.545753 0.837946i \(-0.683756\pi\)
0.837946 + 0.545753i \(0.183756\pi\)
\(74\) 6.62699e29i 0.819613i
\(75\) 1.44710e30 1.05018e30i 1.44384 1.04781i
\(76\) −3.57829e29 −0.288840
\(77\) −8.62802e29 8.62802e29i −0.565014 0.565014i
\(78\) −2.74547e30 + 2.74547e30i −1.46252 + 1.46252i
\(79\) 3.04239e30i 1.32185i −0.750454 0.660923i \(-0.770165\pi\)
0.750454 0.660923i \(-0.229835\pi\)
\(80\) 2.08090e30 + 1.64338e29i 0.739285 + 0.0583846i
\(81\) −5.42881e30 −1.58105
\(82\) −5.40688e30 5.40688e30i −1.29397 1.29397i
\(83\) 1.94115e30 1.94115e30i 0.382656 0.382656i −0.489402 0.872058i \(-0.662785\pi\)
0.872058 + 0.489402i \(0.162785\pi\)
\(84\) 1.92733e31i 3.13680i
\(85\) −7.04158e30 8.24916e30i −0.948347 1.11098i
\(86\) 8.69813e30 0.971517
\(87\) 3.43922e30 + 3.43922e30i 0.319265 + 0.319265i
\(88\) 1.59769e30 1.59769e30i 0.123529 0.123529i
\(89\) 2.88856e31i 1.86398i 0.362484 + 0.931990i \(0.381929\pi\)
−0.362484 + 0.931990i \(0.618071\pi\)
\(90\) 4.57602e31 3.90615e31i 2.46949 2.10799i
\(91\) −2.49817e31 −1.12969
\(92\) −8.14917e30 8.14917e30i −0.309391 0.309391i
\(93\) 2.92020e31 2.92020e31i 0.932579 0.932579i
\(94\) 3.56948e31i 0.960637i
\(95\) −8.25087e29 + 1.04475e31i −0.0187466 + 0.237375i
\(96\) 1.31841e32 2.53345
\(97\) −1.59758e31 1.59758e31i −0.260086 0.260086i 0.565003 0.825089i \(-0.308875\pi\)
−0.825089 + 0.565003i \(0.808875\pi\)
\(98\) −8.38363e31 + 8.38363e31i −1.15828 + 1.15828i
\(99\) 1.02442e32i 1.20314i
\(100\) −1.90409e31 + 1.19799e32i −0.190409 + 1.19799i
\(101\) −1.34151e32 −1.14407 −0.572036 0.820229i \(-0.693846\pi\)
−0.572036 + 0.820229i \(0.693846\pi\)
\(102\) −3.76297e32 3.76297e32i −2.74112 2.74112i
\(103\) 8.88746e31 8.88746e31i 0.553837 0.553837i −0.373709 0.927546i \(-0.621914\pi\)
0.927546 + 0.373709i \(0.121914\pi\)
\(104\) 4.62599e31i 0.246985i
\(105\) 5.62722e32 + 4.44406e31i 2.57789 + 0.203588i
\(106\) −6.51755e32 −2.56561
\(107\) 1.60336e32 + 1.60336e32i 0.543114 + 0.543114i 0.924441 0.381326i \(-0.124533\pi\)
−0.381326 + 0.924441i \(0.624533\pi\)
\(108\) 6.19945e32 6.19945e32i 1.80956 1.80956i
\(109\) 1.58282e32i 0.398665i 0.979932 + 0.199333i \(0.0638774\pi\)
−0.979932 + 0.199333i \(0.936123\pi\)
\(110\) −2.44642e32 2.86597e32i −0.532413 0.623718i
\(111\) −5.22002e32 −0.982888
\(112\) 4.65974e32 + 4.65974e32i 0.760104 + 0.760104i
\(113\) −6.14214e32 + 6.14214e32i −0.869089 + 0.869089i −0.992372 0.123282i \(-0.960658\pi\)
0.123282 + 0.992372i \(0.460658\pi\)
\(114\) 5.14217e32i 0.631929i
\(115\) −2.56722e32 + 2.19141e32i −0.274345 + 0.234184i
\(116\) −3.29972e32 −0.307008
\(117\) 1.48307e33 + 1.48307e33i 1.20279 + 1.20279i
\(118\) 1.62473e33 1.62473e33i 1.14992 1.14992i
\(119\) 3.42403e33i 2.11732i
\(120\) −8.22927e31 + 1.04202e33i −0.0445104 + 0.563605i
\(121\) −1.46978e33 −0.696123
\(122\) −1.99275e33 1.99275e33i −0.827362 0.827362i
\(123\) −4.25895e33 + 4.25895e33i −1.55175 + 1.55175i
\(124\) 2.80176e33i 0.896775i
\(125\) 3.45388e33 + 8.32173e32i 0.972180 + 0.234236i
\(126\) 1.89940e34 4.70639
\(127\) 2.61018e33 + 2.61018e33i 0.569916 + 0.569916i 0.932105 0.362189i \(-0.117971\pi\)
−0.362189 + 0.932105i \(0.617971\pi\)
\(128\) −2.27427e33 + 2.27427e33i −0.438009 + 0.438009i
\(129\) 6.85143e33i 1.16505i
\(130\) −7.69081e33 6.07377e32i −1.15579 0.0912777i
\(131\) −9.84352e33 −1.30861 −0.654304 0.756231i \(-0.727038\pi\)
−0.654304 + 0.756231i \(0.727038\pi\)
\(132\) −7.16601e33 7.16601e33i −0.843518 0.843518i
\(133\) −2.33950e33 + 2.33950e33i −0.244060 + 0.244060i
\(134\) 8.27443e33i 0.765704i
\(135\) −1.66711e34 1.95300e34i −1.36969 1.60458i
\(136\) 6.34044e33 0.462910
\(137\) 6.77187e32 + 6.77187e32i 0.0439724 + 0.0439724i 0.728751 0.684779i \(-0.240101\pi\)
−0.684779 + 0.728751i \(0.740101\pi\)
\(138\) −1.17107e34 + 1.17107e34i −0.676892 + 0.676892i
\(139\) 2.77167e34i 1.42727i 0.700519 + 0.713634i \(0.252952\pi\)
−0.700519 + 0.713634i \(0.747048\pi\)
\(140\) −2.91268e34 + 2.48630e34i −1.33735 + 1.14157i
\(141\) 2.81164e34 1.15201
\(142\) −2.54252e33 2.54252e33i −0.0930358 0.0930358i
\(143\) 9.28848e33 9.28848e33i 0.303786 0.303786i
\(144\) 5.53261e34i 1.61857i
\(145\) −7.60855e32 + 9.63419e33i −0.0199257 + 0.252306i
\(146\) 2.62013e34 0.614721
\(147\) 6.60370e34 + 6.60370e34i 1.38903 + 1.38903i
\(148\) 2.50414e34 2.50414e34i 0.472576 0.472576i
\(149\) 8.66465e34i 1.46815i −0.679068 0.734075i \(-0.737616\pi\)
0.679068 0.734075i \(-0.262384\pi\)
\(150\) 1.72157e35 + 2.73627e34i 2.62099 + 0.416581i
\(151\) −5.90209e34 −0.807931 −0.403966 0.914774i \(-0.632368\pi\)
−0.403966 + 0.914774i \(0.632368\pi\)
\(152\) −4.33216e33 4.33216e33i −0.0533589 0.0533589i
\(153\) −2.03272e35 + 2.03272e35i −2.25431 + 2.25431i
\(154\) 1.18960e35i 1.18869i
\(155\) 8.18029e34 + 6.46034e33i 0.736990 + 0.0582034i
\(156\) −2.07486e35 −1.68654
\(157\) −2.52718e34 2.52718e34i −0.185457 0.185457i 0.608272 0.793729i \(-0.291863\pi\)
−0.793729 + 0.608272i \(0.791863\pi\)
\(158\) 2.09736e35 2.09736e35i 1.39046 1.39046i
\(159\) 5.13381e35i 3.07671i
\(160\) 1.70079e35 + 1.99246e35i 0.921998 + 1.08011i
\(161\) −1.06559e35 −0.522850
\(162\) −3.74251e35 3.74251e35i −1.66312 1.66312i
\(163\) 1.40370e35 1.40370e35i 0.565293 0.565293i −0.365513 0.930806i \(-0.619107\pi\)
0.930806 + 0.365513i \(0.119107\pi\)
\(164\) 4.08620e35i 1.49217i
\(165\) −2.25749e35 + 1.92702e35i −0.747969 + 0.638475i
\(166\) 2.67637e35 0.805040
\(167\) −2.73267e35 2.73267e35i −0.746660 0.746660i 0.227190 0.973850i \(-0.427046\pi\)
−0.973850 + 0.227190i \(0.927046\pi\)
\(168\) −2.33338e35 + 2.33338e35i −0.579477 + 0.579477i
\(169\) 1.73838e35i 0.392608i
\(170\) 8.32480e34 1.05411e36i 0.171077 2.16623i
\(171\) 2.77774e35 0.519702
\(172\) 3.28677e35 + 3.28677e35i 0.560162 + 0.560162i
\(173\) 1.21463e35 1.21463e35i 0.188671 0.188671i −0.606450 0.795121i \(-0.707407\pi\)
0.795121 + 0.606450i \(0.207407\pi\)
\(174\) 4.74185e35i 0.671676i
\(175\) 6.58763e35 + 9.07744e35i 0.851374 + 1.17315i
\(176\) −3.46508e35 −0.408800
\(177\) −1.27978e36 1.27978e36i −1.37900 1.37900i
\(178\) −1.99132e36 + 1.99132e36i −1.96074 + 1.96074i
\(179\) 4.06792e35i 0.366205i 0.983094 + 0.183103i \(0.0586140\pi\)
−0.983094 + 0.183103i \(0.941386\pi\)
\(180\) 3.20516e36 + 2.53126e35i 2.63931 + 0.208438i
\(181\) 2.09328e36 1.57750 0.788750 0.614715i \(-0.210729\pi\)
0.788750 + 0.614715i \(0.210729\pi\)
\(182\) −1.72219e36 1.72219e36i −1.18834 1.18834i
\(183\) −1.56967e36 + 1.56967e36i −0.992181 + 0.992181i
\(184\) 1.97321e35i 0.114311i
\(185\) −6.73394e35 7.88876e35i −0.357702 0.419045i
\(186\) 4.02626e36 1.96198
\(187\) 1.27309e36 + 1.27309e36i 0.569370 + 0.569370i
\(188\) −1.34880e36 + 1.34880e36i −0.553888 + 0.553888i
\(189\) 8.10646e36i 3.05803i
\(190\) −7.77111e35 + 6.63351e35i −0.269417 + 0.229978i
\(191\) −6.33925e35 −0.202071 −0.101036 0.994883i \(-0.532216\pi\)
−0.101036 + 0.994883i \(0.532216\pi\)
\(192\) 5.89841e36 + 5.89841e36i 1.72948 + 1.72948i
\(193\) 3.14798e36 3.14798e36i 0.849404 0.849404i −0.140654 0.990059i \(-0.544921\pi\)
0.990059 + 0.140654i \(0.0449206\pi\)
\(194\) 2.20269e36i 0.547173i
\(195\) −4.78425e35 + 6.05797e36i −0.109461 + 1.38603i
\(196\) −6.33585e36 −1.33570
\(197\) −1.32228e36 1.32228e36i −0.256959 0.256959i 0.566857 0.823816i \(-0.308159\pi\)
−0.823816 + 0.566857i \(0.808159\pi\)
\(198\) −7.06218e36 + 7.06218e36i −1.26560 + 1.26560i
\(199\) 1.08098e36i 0.178718i −0.995999 0.0893591i \(-0.971518\pi\)
0.995999 0.0893591i \(-0.0284819\pi\)
\(200\) −1.68091e36 + 1.21986e36i −0.256487 + 0.186136i
\(201\) −6.51769e36 −0.918241
\(202\) −9.24812e36 9.24812e36i −1.20346 1.20346i
\(203\) −2.15737e36 + 2.15737e36i −0.259411 + 0.259411i
\(204\) 2.84383e37i 3.16098i
\(205\) −1.19305e37 9.42203e35i −1.22630 0.0968463i
\(206\) 1.22537e37 1.16517
\(207\) 6.32602e36 + 6.32602e36i 0.556679 + 0.556679i
\(208\) −5.01643e36 + 5.01643e36i −0.408679 + 0.408679i
\(209\) 1.73970e36i 0.131261i
\(210\) 3.57292e37 + 4.18565e37i 2.49756 + 2.92587i
\(211\) 2.41091e37 1.56193 0.780964 0.624576i \(-0.214728\pi\)
0.780964 + 0.624576i \(0.214728\pi\)
\(212\) −2.46279e37 2.46279e37i −1.47929 1.47929i
\(213\) −2.00272e36 + 2.00272e36i −0.111570 + 0.111570i
\(214\) 2.21065e37i 1.14262i
\(215\) 1.03542e37 8.83850e36i 0.496710 0.423998i
\(216\) 1.50111e37 0.668579
\(217\) 1.83180e37 + 1.83180e37i 0.757744 + 0.757744i
\(218\) −1.09117e37 + 1.09117e37i −0.419360 + 0.419360i
\(219\) 2.06385e37i 0.737179i
\(220\) 1.58533e36 2.00740e37i 0.0526450 0.666608i
\(221\) 3.68614e37 1.13840
\(222\) −3.59857e37 3.59857e37i −1.03391 1.03391i
\(223\) −1.38021e37 + 1.38021e37i −0.369035 + 0.369035i −0.867125 0.498090i \(-0.834035\pi\)
0.498090 + 0.867125i \(0.334035\pi\)
\(224\) 8.27023e37i 2.05849i
\(225\) 1.47810e37 9.29975e37i 0.342598 2.15551i
\(226\) −8.46853e37 −1.82841
\(227\) 5.78983e37 + 5.78983e37i 1.16480 + 1.16480i 0.983411 + 0.181390i \(0.0580596\pi\)
0.181390 + 0.983411i \(0.441940\pi\)
\(228\) −1.94307e37 + 1.94307e37i −0.364361 + 0.364361i
\(229\) 8.63863e37i 1.51035i −0.655525 0.755174i \(-0.727552\pi\)
0.655525 0.755174i \(-0.272448\pi\)
\(230\) −3.28050e37 2.59076e36i −0.534928 0.0422456i
\(231\) −9.37034e37 −1.42549
\(232\) −3.99490e36 3.99490e36i −0.0567151 0.0567151i
\(233\) −3.87795e37 + 3.87795e37i −0.513934 + 0.513934i −0.915729 0.401796i \(-0.868386\pi\)
0.401796 + 0.915729i \(0.368386\pi\)
\(234\) 2.04480e38i 2.53044i
\(235\) 3.62709e37 + 4.24910e37i 0.419249 + 0.491147i
\(236\) 1.22787e38 1.32606
\(237\) −1.65207e38 1.65207e38i −1.66746 1.66746i
\(238\) 2.36046e38 2.36046e38i 2.22723 2.22723i
\(239\) 6.13129e37i 0.540985i 0.962722 + 0.270492i \(0.0871865\pi\)
−0.962722 + 0.270492i \(0.912813\pi\)
\(240\) 1.21921e38 1.04073e38i 1.00623 0.858930i
\(241\) 7.68449e37 0.593393 0.296696 0.954972i \(-0.404115\pi\)
0.296696 + 0.954972i \(0.404115\pi\)
\(242\) −1.01324e38 1.01324e38i −0.732260 0.732260i
\(243\) −7.42976e37 + 7.42976e37i −0.502660 + 0.502660i
\(244\) 1.50600e38i 0.954089i
\(245\) −1.46093e37 + 1.84988e38i −0.0866907 + 1.09771i
\(246\) −5.87207e38 −3.26459
\(247\) −2.51858e37 2.51858e37i −0.131222 0.131222i
\(248\) −3.39203e37 + 3.39203e37i −0.165666 + 0.165666i
\(249\) 2.10815e38i 0.965412i
\(250\) 1.80735e38 + 2.95472e38i 0.776251 + 1.26904i
\(251\) 2.43011e38 0.979145 0.489573 0.871963i \(-0.337153\pi\)
0.489573 + 0.871963i \(0.337153\pi\)
\(252\) 7.17728e38 + 7.17728e38i 2.71363 + 2.71363i
\(253\) 3.96199e37 3.96199e37i 0.140600 0.140600i
\(254\) 3.59881e38i 1.19900i
\(255\) −8.30314e38 6.55736e37i −2.59776 0.205157i
\(256\) 1.52963e38 0.449519
\(257\) 2.92080e38 + 2.92080e38i 0.806439 + 0.806439i 0.984093 0.177654i \(-0.0568507\pi\)
−0.177654 + 0.984093i \(0.556851\pi\)
\(258\) 4.72324e38 4.72324e38i 1.22553 1.22553i
\(259\) 3.27444e38i 0.798621i
\(260\) −2.67662e38 3.13564e38i −0.613780 0.719039i
\(261\) 2.56150e38 0.552390
\(262\) −6.78593e38 6.78593e38i −1.37654 1.37654i
\(263\) 6.16434e38 6.16434e38i 1.17651 1.17651i 0.195879 0.980628i \(-0.437244\pi\)
0.980628 0.195879i \(-0.0627560\pi\)
\(264\) 1.73515e38i 0.311655i
\(265\) −7.75848e38 + 6.62274e38i −1.31173 + 1.11970i
\(266\) −3.22561e38 −0.513458
\(267\) 1.56854e39 + 1.56854e39i 2.35134 + 2.35134i
\(268\) 3.12666e38 3.12666e38i 0.441493 0.441493i
\(269\) 1.27205e39i 1.69227i 0.532971 + 0.846134i \(0.321076\pi\)
−0.532971 + 0.846134i \(0.678924\pi\)
\(270\) 1.97091e38 2.49563e39i 0.247085 3.12867i
\(271\) −1.76071e38 −0.208055 −0.104027 0.994574i \(-0.533173\pi\)
−0.104027 + 0.994574i \(0.533173\pi\)
\(272\) −6.87560e38 6.87560e38i −0.765963 0.765963i
\(273\) −1.35655e39 + 1.35655e39i −1.42506 + 1.42506i
\(274\) 9.33679e37i 0.0925100i
\(275\) −5.82444e38 9.25738e37i −0.544416 0.0865296i
\(276\) −8.85029e38 −0.780571
\(277\) −7.30401e38 7.30401e38i −0.607974 0.607974i 0.334442 0.942416i \(-0.391452\pi\)
−0.942416 + 0.334442i \(0.891452\pi\)
\(278\) −1.91074e39 + 1.91074e39i −1.50136 + 1.50136i
\(279\) 2.17494e39i 1.61354i
\(280\) −6.53643e38 5.16210e37i −0.457943 0.0361658i
\(281\) 1.96292e39 1.29897 0.649487 0.760373i \(-0.274984\pi\)
0.649487 + 0.760373i \(0.274984\pi\)
\(282\) 1.93829e39 + 1.93829e39i 1.21181 + 1.21181i
\(283\) −3.61075e38 + 3.61075e38i −0.213312 + 0.213312i −0.805673 0.592361i \(-0.798196\pi\)
0.592361 + 0.805673i \(0.298196\pi\)
\(284\) 1.92148e38i 0.107286i
\(285\) 5.22515e38 + 6.12123e38i 0.275792 + 0.323088i
\(286\) 1.28066e39 0.639112
\(287\) −2.67158e39 2.67158e39i −1.26083 1.26083i
\(288\) 4.90972e39 4.90972e39i 2.19168 2.19168i
\(289\) 2.68436e39i 1.13364i
\(290\) −7.16613e38 + 6.11710e38i −0.286363 + 0.244443i
\(291\) −1.73503e39 −0.656176
\(292\) 9.90071e38 + 9.90071e38i 0.354439 + 0.354439i
\(293\) 1.62204e39 1.62204e39i 0.549769 0.549769i −0.376605 0.926374i \(-0.622909\pi\)
0.926374 + 0.376605i \(0.122909\pi\)
\(294\) 9.10492e39i 2.92226i
\(295\) 2.83125e38 3.58503e39i 0.0860650 1.08978i
\(296\) 6.06343e38 0.174603
\(297\) 3.01407e39 + 3.01407e39i 0.822337 + 0.822337i
\(298\) 5.97323e39 5.97323e39i 1.54436 1.54436i
\(299\) 1.14716e39i 0.281116i
\(300\) 5.47136e39 + 7.53927e39i 1.27103 + 1.75142i
\(301\) 4.29780e39 0.946635
\(302\) −4.06878e39 4.06878e39i −0.849871 0.849871i
\(303\) −7.28466e39 + 7.28466e39i −1.44320 + 1.44320i
\(304\) 9.39561e38i 0.176583i
\(305\) −4.39708e39 3.47257e38i −0.784091 0.0619232i
\(306\) −2.80263e40 −4.74267
\(307\) −1.85062e39 1.85062e39i −0.297237 0.297237i 0.542694 0.839931i \(-0.317404\pi\)
−0.839931 + 0.542694i \(0.817404\pi\)
\(308\) 4.49513e39 4.49513e39i 0.685380 0.685380i
\(309\) 9.65210e39i 1.39729i
\(310\) 5.19397e39 + 6.08469e39i 0.714023 + 0.836472i
\(311\) −5.81040e39 −0.758647 −0.379324 0.925264i \(-0.623843\pi\)
−0.379324 + 0.925264i \(0.623843\pi\)
\(312\) −2.51199e39 2.51199e39i −0.311562 0.311562i
\(313\) 5.56927e39 5.56927e39i 0.656280 0.656280i −0.298218 0.954498i \(-0.596392\pi\)
0.954498 + 0.298218i \(0.0963922\pi\)
\(314\) 3.48438e39i 0.390168i
\(315\) 2.26104e40 1.93005e40i 2.40625 2.05400i
\(316\) 1.58506e40 1.60344
\(317\) −1.06184e39 1.06184e39i −0.102120 0.102120i 0.654201 0.756321i \(-0.273005\pi\)
−0.756321 + 0.654201i \(0.773005\pi\)
\(318\) −3.53915e40 + 3.53915e40i −3.23642 + 3.23642i
\(319\) 1.60427e39i 0.139517i
\(320\) −1.30490e39 + 1.65231e40i −0.107939 + 1.36676i
\(321\) 1.74131e40 1.37024
\(322\) −7.34598e39 7.34598e39i −0.549991 0.549991i
\(323\) 3.45201e39 3.45201e39i 0.245941 0.245941i
\(324\) 2.82837e40i 1.91786i
\(325\) −9.77231e39 + 7.09191e39i −0.630759 + 0.457751i
\(326\) 1.93537e40 1.18927
\(327\) 8.59501e39 + 8.59501e39i 0.502901 + 0.502901i
\(328\) 4.94708e39 4.94708e39i 0.275656 0.275656i
\(329\) 1.76370e40i 0.936033i
\(330\) −2.88472e40 2.27819e39i −1.45842 0.115178i
\(331\) −7.48434e38 −0.0360500 −0.0180250 0.999838i \(-0.505738\pi\)
−0.0180250 + 0.999838i \(0.505738\pi\)
\(332\) 1.01132e40 + 1.01132e40i 0.464174 + 0.464174i
\(333\) −1.94391e40 + 1.94391e40i −0.850293 + 0.850293i
\(334\) 3.76769e40i 1.57084i
\(335\) −8.40796e39 9.84987e39i −0.334175 0.391483i
\(336\) 5.06064e40 1.91768
\(337\) −2.79601e40 2.79601e40i −1.01032 1.01032i −0.999946 0.0103785i \(-0.996696\pi\)
−0.0103785 0.999946i \(-0.503304\pi\)
\(338\) −1.19841e40 + 1.19841e40i −0.412988 + 0.412988i
\(339\) 6.67058e40i 2.19265i
\(340\) 4.29775e40 3.66861e40i 1.34765 1.15037i
\(341\) −1.36217e40 −0.407531
\(342\) 1.91492e40 + 1.91492e40i 0.546679 + 0.546679i
\(343\) −3.80426e39 + 3.80426e39i −0.103649 + 0.103649i
\(344\) 7.95844e39i 0.206963i
\(345\) −2.04071e39 + 2.58402e40i −0.0506614 + 0.641491i
\(346\) 1.67468e40 0.396930
\(347\) 3.44074e40 + 3.44074e40i 0.778718 + 0.778718i 0.979613 0.200895i \(-0.0643850\pi\)
−0.200895 + 0.979613i \(0.564385\pi\)
\(348\) −1.79181e40 + 1.79181e40i −0.387278 + 0.387278i
\(349\) 8.25033e40i 1.70320i −0.524196 0.851598i \(-0.675634\pi\)
0.524196 0.851598i \(-0.324366\pi\)
\(350\) −1.71642e40 + 1.07992e41i −0.338482 + 2.12962i
\(351\) 8.72700e40 1.64419
\(352\) −3.07496e40 3.07496e40i −0.553550 0.553550i
\(353\) 4.15246e40 4.15246e40i 0.714348 0.714348i −0.253094 0.967442i \(-0.581448\pi\)
0.967442 + 0.253094i \(0.0814481\pi\)
\(354\) 1.76451e41i 2.90117i
\(355\) −5.61016e39 4.43059e38i −0.0881701 0.00696318i
\(356\) −1.50492e41 −2.26107
\(357\) −1.85931e41 1.85931e41i −2.67092 2.67092i
\(358\) −2.80435e40 + 2.80435e40i −0.385215 + 0.385215i
\(359\) 5.74174e40i 0.754280i 0.926156 + 0.377140i \(0.123092\pi\)
−0.926156 + 0.377140i \(0.876908\pi\)
\(360\) 3.57397e40 + 4.18688e40i 0.449067 + 0.526079i
\(361\) 7.84812e40 0.943302
\(362\) 1.44306e41 + 1.44306e41i 1.65939 + 1.65939i
\(363\) −7.98117e40 + 7.98117e40i −0.878133 + 0.878133i
\(364\) 1.30153e41i 1.37035i
\(365\) 3.11900e40 2.66242e40i 0.314290 0.268281i
\(366\) −2.16420e41 −2.08737
\(367\) 3.60989e40 + 3.60989e40i 0.333301 + 0.333301i 0.853839 0.520538i \(-0.174268\pi\)
−0.520538 + 0.853839i \(0.674268\pi\)
\(368\) −2.13975e40 + 2.13975e40i −0.189147 + 0.189147i
\(369\) 3.17203e41i 2.68482i
\(370\) 7.96109e39 1.00806e41i 0.0645275 0.817069i
\(371\) −3.22037e41 −2.49990
\(372\) 1.52140e41 + 1.52140e41i 1.13125 + 1.13125i
\(373\) 1.27039e41 1.27039e41i 0.904891 0.904891i −0.0909630 0.995854i \(-0.528995\pi\)
0.995854 + 0.0909630i \(0.0289945\pi\)
\(374\) 1.75529e41i 1.19785i
\(375\) 2.32740e41 1.42363e41i 1.52185 0.930888i
\(376\) −3.26593e40 −0.204645
\(377\) −2.32252e40 2.32252e40i −0.139475 0.139475i
\(378\) 5.58843e41 5.58843e41i 3.21678 3.21678i
\(379\) 1.01826e41i 0.561866i 0.959727 + 0.280933i \(0.0906439\pi\)
−0.959727 + 0.280933i \(0.909356\pi\)
\(380\) −5.44308e40 4.29864e39i −0.287944 0.0227402i
\(381\) 2.83475e41 1.43785
\(382\) −4.37015e40 4.37015e40i −0.212561 0.212561i
\(383\) −1.65381e41 + 1.65381e41i −0.771447 + 0.771447i −0.978359 0.206913i \(-0.933658\pi\)
0.206913 + 0.978359i \(0.433658\pi\)
\(384\) 2.46994e41i 1.10506i
\(385\) −1.20879e41 1.41609e41i −0.518777 0.607744i
\(386\) 4.34030e41 1.78699
\(387\) −2.55144e41 2.55144e41i −1.00788 1.00788i
\(388\) 8.32330e40 8.32330e40i 0.315492 0.315492i
\(389\) 2.84784e41i 1.03591i 0.855408 + 0.517955i \(0.173306\pi\)
−0.855408 + 0.517955i \(0.826694\pi\)
\(390\) −4.50606e41 + 3.84643e41i −1.57313 + 1.34284i
\(391\) 1.57232e41 0.526881
\(392\) −7.67069e40 7.67069e40i −0.246750 0.246750i
\(393\) −5.34521e41 + 5.34521e41i −1.65076 + 1.65076i
\(394\) 1.82311e41i 0.540596i
\(395\) 3.65486e40 4.62790e41i 0.104068 1.31774i
\(396\) −5.33718e41 −1.45945
\(397\) 3.15182e41 + 3.15182e41i 0.827777 + 0.827777i 0.987209 0.159432i \(-0.0509661\pi\)
−0.159432 + 0.987209i \(0.550966\pi\)
\(398\) 7.45207e40 7.45207e40i 0.187996 0.187996i
\(399\) 2.54078e41i 0.615744i
\(400\) 3.14561e41 + 4.99963e40i 0.732394 + 0.116407i
\(401\) 4.01319e41 0.897800 0.448900 0.893582i \(-0.351816\pi\)
0.448900 + 0.893582i \(0.351816\pi\)
\(402\) −4.49316e41 4.49316e41i −0.965907 0.965907i
\(403\) −1.97202e41 + 1.97202e41i −0.407410 + 0.407410i
\(404\) 6.98919e41i 1.38779i
\(405\) −8.25799e41 6.52170e40i −1.57614 0.124475i
\(406\) −2.97450e41 −0.545754
\(407\) 1.21747e41 + 1.21747e41i 0.214758 + 0.214758i
\(408\) 3.44297e41 3.44297e41i 0.583944 0.583944i
\(409\) 4.68816e41i 0.764592i −0.924040 0.382296i \(-0.875133\pi\)
0.924040 0.382296i \(-0.124867\pi\)
\(410\) −7.57510e41 8.87417e41i −1.18808 1.39183i
\(411\) 7.35450e40 0.110939
\(412\) 4.63030e41 + 4.63030e41i 0.671822 + 0.671822i
\(413\) 8.02790e41 8.02790e41i 1.12047 1.12047i
\(414\) 8.72206e41i 1.17115i
\(415\) 3.18595e41 2.71957e41i 0.411595 0.351342i
\(416\) −8.90331e41 −1.10677
\(417\) 1.50507e42 + 1.50507e42i 1.80044 + 1.80044i
\(418\) 1.19932e41 1.19932e41i 0.138074 0.138074i
\(419\) 5.92819e41i 0.656898i −0.944522 0.328449i \(-0.893474\pi\)
0.944522 0.328449i \(-0.106526\pi\)
\(420\) −2.31532e41 + 2.93174e42i −0.246958 + 3.12706i
\(421\) 3.01598e40 0.0309681 0.0154841 0.999880i \(-0.495071\pi\)
0.0154841 + 0.999880i \(0.495071\pi\)
\(422\) 1.66203e42 + 1.66203e42i 1.64301 + 1.64301i
\(423\) 1.04704e42 1.04704e42i 0.996595 0.996595i
\(424\) 5.96330e41i 0.546554i
\(425\) −9.72027e41 1.33941e42i −0.857937 1.18220i
\(426\) −2.76126e41 −0.234722
\(427\) −9.84631e41 9.84631e41i −0.806172 0.806172i
\(428\) −8.35340e41 + 8.35340e41i −0.658815 + 0.658815i
\(429\) 1.00876e42i 0.766430i
\(430\) 1.32311e42 + 1.04492e41i 0.968502 + 0.0764869i
\(431\) −1.09610e41 −0.0773062 −0.0386531 0.999253i \(-0.512307\pi\)
−0.0386531 + 0.999253i \(0.512307\pi\)
\(432\) −1.62781e42 1.62781e42i −1.10628 1.10628i
\(433\) −2.03937e42 + 2.03937e42i −1.33564 + 1.33564i −0.435401 + 0.900237i \(0.643393\pi\)
−0.900237 + 0.435401i \(0.856607\pi\)
\(434\) 2.52561e42i 1.59416i
\(435\) 4.81838e41 + 5.64469e41i 0.293138 + 0.343410i
\(436\) −8.24640e41 −0.483593
\(437\) −1.07430e41 1.07430e41i −0.0607326 0.0607326i
\(438\) 1.42278e42 1.42278e42i 0.775447 0.775447i
\(439\) 2.72239e42i 1.43060i −0.698819 0.715298i \(-0.746291\pi\)
0.698819 0.715298i \(-0.253709\pi\)
\(440\) 2.62225e41 2.23838e41i 0.132871 0.113420i
\(441\) 4.91838e42 2.40328
\(442\) 2.54115e42 + 2.54115e42i 1.19750 + 1.19750i
\(443\) 2.34061e41 2.34061e41i 0.106382 0.106382i −0.651912 0.758295i \(-0.726033\pi\)
0.758295 + 0.651912i \(0.226033\pi\)
\(444\) 2.71959e42i 1.19227i
\(445\) −3.47007e41 + 4.39391e42i −0.146750 + 1.85819i
\(446\) −1.90298e42 −0.776384
\(447\) −4.70506e42 4.70506e42i −1.85202 1.85202i
\(448\) −3.69999e42 + 3.69999e42i −1.40524 + 1.40524i
\(449\) 1.87585e42i 0.687474i −0.939066 0.343737i \(-0.888307\pi\)
0.939066 0.343737i \(-0.111693\pi\)
\(450\) 7.43004e42 5.39209e42i 2.62779 1.90703i
\(451\) 1.98664e42 0.678102
\(452\) −3.20001e42 3.20001e42i −1.05423 1.05423i
\(453\) −3.20494e42 + 3.20494e42i −1.01917 + 1.01917i
\(454\) 7.98278e42i 2.45053i
\(455\) −3.80008e42 3.00109e41i −1.12619 0.0889399i
\(456\) −4.70488e41 −0.134620
\(457\) −2.88697e42 2.88697e42i −0.797596 0.797596i 0.185120 0.982716i \(-0.440733\pi\)
−0.982716 + 0.185120i \(0.940733\pi\)
\(458\) 5.95530e42 5.95530e42i 1.58875 1.58875i
\(459\) 1.19613e43i 3.08161i
\(460\) −1.14171e42 1.33750e42i −0.284073 0.332789i
\(461\) −9.00242e41 −0.216344 −0.108172 0.994132i \(-0.534500\pi\)
−0.108172 + 0.994132i \(0.534500\pi\)
\(462\) −6.45972e42 6.45972e42i −1.49949 1.49949i
\(463\) 3.49489e42 3.49489e42i 0.783678 0.783678i −0.196771 0.980449i \(-0.563046\pi\)
0.980449 + 0.196771i \(0.0630457\pi\)
\(464\) 8.66417e41i 0.187689i
\(465\) 4.79285e42 4.09124e42i 1.00311 0.856263i
\(466\) −5.34676e42 −1.08122
\(467\) 3.76241e42 + 3.76241e42i 0.735184 + 0.735184i 0.971642 0.236458i \(-0.0759864\pi\)
−0.236458 + 0.971642i \(0.575986\pi\)
\(468\) −7.72669e42 + 7.72669e42i −1.45902 + 1.45902i
\(469\) 4.08845e42i 0.746093i
\(470\) −4.28806e41 + 5.42969e42i −0.0756303 + 0.957655i
\(471\) −2.74461e42 −0.467893
\(472\) 1.48656e42 + 1.48656e42i 0.244969 + 0.244969i
\(473\) −1.59797e42 + 1.59797e42i −0.254560 + 0.254560i
\(474\) 2.27781e43i 3.50803i
\(475\) −2.51015e41 + 1.57930e42i −0.0373768 + 0.235163i
\(476\) 1.78390e43 2.56838
\(477\) 1.91181e43 + 1.91181e43i 2.66165 + 2.66165i
\(478\) −4.22679e42 + 4.22679e42i −0.569068 + 0.569068i
\(479\) 7.04935e42i 0.917869i 0.888470 + 0.458934i \(0.151769\pi\)
−0.888470 + 0.458934i \(0.848231\pi\)
\(480\) 2.00550e43 + 1.58383e42i 2.52559 + 0.199457i
\(481\) 3.52510e42 0.429388
\(482\) 5.29753e42 + 5.29753e42i 0.624196 + 0.624196i
\(483\) −5.78636e42 + 5.78636e42i −0.659555 + 0.659555i
\(484\) 7.65745e42i 0.844419i
\(485\) −2.23823e42 2.62207e42i −0.238802 0.279755i
\(486\) −1.02439e43 −1.05751
\(487\) −1.19256e43 1.19256e43i −1.19129 1.19129i −0.976705 0.214586i \(-0.931160\pi\)
−0.214586 0.976705i \(-0.568840\pi\)
\(488\) 1.82329e42 1.82329e42i 0.176254 0.176254i
\(489\) 1.52447e43i 1.42619i
\(490\) −1.37598e43 + 1.17456e43i −1.24588 + 1.06350i
\(491\) −4.66748e42 −0.409052 −0.204526 0.978861i \(-0.565565\pi\)
−0.204526 + 0.978861i \(0.565565\pi\)
\(492\) −2.21888e43 2.21888e43i −1.88232 1.88232i
\(493\) 3.18327e42 3.18327e42i 0.261411 0.261411i
\(494\) 3.47252e42i 0.276067i
\(495\) −1.23066e42 + 1.55830e43i −0.0947225 + 1.19941i
\(496\) 7.35666e42 0.548244
\(497\) −1.25627e42 1.25627e42i −0.0906530 0.0906530i
\(498\) 1.45332e43 1.45332e43i 1.01553 1.01553i
\(499\) 6.25129e41i 0.0423020i −0.999776 0.0211510i \(-0.993267\pi\)
0.999776 0.0211510i \(-0.00673308\pi\)
\(500\) −4.33556e42 + 1.79944e43i −0.284135 + 1.17928i
\(501\) −2.96777e43 −1.88377
\(502\) 1.67527e43 + 1.67527e43i 1.02997 + 1.02997i
\(503\) 2.81470e42 2.81470e42i 0.167627 0.167627i −0.618308 0.785936i \(-0.712182\pi\)
0.785936 + 0.618308i \(0.212182\pi\)
\(504\) 1.73788e43i 1.00261i
\(505\) −2.04063e43 1.61158e42i −1.14052 0.0900719i
\(506\) 5.46263e42 0.295797
\(507\) 9.43974e42 + 9.43974e42i 0.495259 + 0.495259i
\(508\) −1.35988e43 + 1.35988e43i −0.691325 + 0.691325i
\(509\) 1.03551e43i 0.510118i −0.966925 0.255059i \(-0.917905\pi\)
0.966925 0.255059i \(-0.0820950\pi\)
\(510\) −5.27197e43 6.17607e43i −2.51681 2.94842i
\(511\) 1.29463e43 0.598977
\(512\) 2.03129e43 + 2.03129e43i 0.910863 + 0.910863i
\(513\) 8.17269e42 8.17269e42i 0.355211 0.355211i
\(514\) 4.02708e43i 1.69660i
\(515\) 1.45868e43 1.24514e43i 0.595722 0.508515i
\(516\) 3.56955e43 1.41325
\(517\) −6.55764e42 6.55764e42i −0.251709 0.251709i
\(518\) 2.25733e43 2.25733e43i 0.840078 0.840078i
\(519\) 1.31913e43i 0.476002i
\(520\) 5.55726e41 7.03678e42i 0.0194450 0.246219i
\(521\) −1.68645e43 −0.572228 −0.286114 0.958196i \(-0.592364\pi\)
−0.286114 + 0.958196i \(0.592364\pi\)
\(522\) 1.76584e43 + 1.76584e43i 0.581065 + 0.581065i
\(523\) −8.30954e42 + 8.30954e42i −0.265186 + 0.265186i −0.827157 0.561971i \(-0.810043\pi\)
0.561971 + 0.827157i \(0.310043\pi\)
\(524\) 5.12840e43i 1.58738i
\(525\) 8.50641e43 + 1.35201e43i 2.55386 + 0.405911i
\(526\) 8.49914e43 2.47516
\(527\) −2.70288e43 2.70288e43i −0.763585 0.763585i
\(528\) −1.88160e43 + 1.88160e43i −0.515685 + 0.515685i
\(529\) 3.27157e43i 0.869892i
\(530\) −9.91413e43 7.82962e42i −2.55765 0.201989i
\(531\) −9.53171e43 −2.38594
\(532\) −1.21886e43 1.21886e43i −0.296052 0.296052i
\(533\) 2.87608e43 2.87608e43i 0.677901 0.677901i
\(534\) 2.16264e44i 4.94680i
\(535\) 2.24633e43 + 2.63156e43i 0.498670 + 0.584188i
\(536\) 7.57077e42 0.163119
\(537\) 2.20896e43 + 2.20896e43i 0.461954 + 0.461954i
\(538\) −8.76928e43 + 8.76928e43i −1.78011 + 1.78011i
\(539\) 3.08038e43i 0.606994i
\(540\) 1.01750e44 8.68550e43i 1.94641 1.66148i
\(541\) 2.78711e43 0.517604 0.258802 0.965930i \(-0.416672\pi\)
0.258802 + 0.965930i \(0.416672\pi\)
\(542\) −1.21380e43 1.21380e43i −0.218855 0.218855i
\(543\) 1.13669e44 1.13669e44i 1.98995 1.98995i
\(544\) 1.22030e44i 2.07436i
\(545\) −1.90147e42 + 2.40770e43i −0.0313866 + 0.397428i
\(546\) −1.87036e44 −2.99808
\(547\) 5.15247e42 + 5.15247e42i 0.0802081 + 0.0802081i 0.746073 0.665865i \(-0.231937\pi\)
−0.665865 + 0.746073i \(0.731937\pi\)
\(548\) −3.52810e42 + 3.52810e42i −0.0533398 + 0.0533398i
\(549\) 1.16908e44i 1.71666i
\(550\) −3.37707e43 4.65344e43i −0.481656 0.663699i
\(551\) −4.34999e42 −0.0602647
\(552\) −1.07149e43 1.07149e43i −0.144199 0.144199i
\(553\) 1.03632e44 1.03632e44i 1.35485 1.35485i
\(554\) 1.00705e44i 1.27907i
\(555\) −7.94039e43 6.27088e42i −0.979837 0.0773821i
\(556\) −1.44402e44 −1.73132
\(557\) −2.38429e43 2.38429e43i −0.277764 0.277764i 0.554452 0.832216i \(-0.312928\pi\)
−0.832216 + 0.554452i \(0.812928\pi\)
\(558\) 1.49936e44 1.49936e44i 1.69730 1.69730i
\(559\) 4.62680e43i 0.508969i
\(560\) 6.52834e43 + 7.64790e43i 0.697902 + 0.817587i
\(561\) 1.38262e44 1.43648
\(562\) 1.35319e44 + 1.35319e44i 1.36640 + 1.36640i
\(563\) −1.22745e44 + 1.22745e44i −1.20467 + 1.20467i −0.231942 + 0.972730i \(0.574508\pi\)
−0.972730 + 0.231942i \(0.925492\pi\)
\(564\) 1.46485e44i 1.39742i
\(565\) −1.00809e44 + 8.60520e43i −0.934815 + 0.797969i
\(566\) −4.97836e43 −0.448770
\(567\) −1.84920e44 1.84920e44i −1.62052 1.62052i
\(568\) 2.32630e42 2.32630e42i 0.0198195 0.0198195i
\(569\) 7.04332e43i 0.583420i 0.956507 + 0.291710i \(0.0942242\pi\)
−0.956507 + 0.291710i \(0.905776\pi\)
\(570\) −6.17735e42 + 7.82197e43i −0.0497513 + 0.629968i
\(571\) −1.90307e44 −1.49031 −0.745155 0.666892i \(-0.767624\pi\)
−0.745155 + 0.666892i \(0.767624\pi\)
\(572\) 4.83923e43 + 4.83923e43i 0.368502 + 0.368502i
\(573\) −3.44233e43 + 3.44233e43i −0.254905 + 0.254905i
\(574\) 3.68346e44i 2.65257i
\(575\) −4.16836e43 + 3.02504e43i −0.291931 + 0.211858i
\(576\) 4.39308e44 2.99233
\(577\) 1.08801e44 + 1.08801e44i 0.720809 + 0.720809i 0.968770 0.247961i \(-0.0797604\pi\)
−0.247961 + 0.968770i \(0.579760\pi\)
\(578\) −1.85055e44 + 1.85055e44i −1.19249 + 1.19249i
\(579\) 3.41882e44i 2.14298i
\(580\) −5.01934e43 3.96400e42i −0.306055 0.0241705i
\(581\) 1.32241e44 0.784422
\(582\) −1.19610e44 1.19610e44i −0.690238 0.690238i
\(583\) 1.19737e44 1.19737e44i 0.672249 0.672249i
\(584\) 2.39732e43i 0.130954i
\(585\) 2.07780e44 + 2.43413e44i 1.10436 + 1.29375i
\(586\) 2.23641e44 1.15662
\(587\) 1.04026e44 + 1.04026e44i 0.523521 + 0.523521i 0.918633 0.395112i \(-0.129294\pi\)
−0.395112 + 0.918633i \(0.629294\pi\)
\(588\) −3.44048e44 + 3.44048e44i −1.68493 + 1.68493i
\(589\) 3.69353e43i 0.176034i
\(590\) 2.66663e44 2.27626e44i 1.23689 1.05582i
\(591\) −1.43604e44 −0.648289
\(592\) −6.57521e43 6.57521e43i −0.288910 0.288910i
\(593\) −2.20926e44 + 2.20926e44i −0.944867 + 0.944867i −0.998558 0.0536904i \(-0.982902\pi\)
0.0536904 + 0.998558i \(0.482902\pi\)
\(594\) 4.15568e44i 1.73005i
\(595\) 4.11334e43 5.20844e44i 0.166695 2.11075i
\(596\) 4.51422e44 1.78091
\(597\) −5.86992e43 5.86992e43i −0.225446 0.225446i
\(598\) 7.90831e43 7.90831e43i 0.295709 0.295709i
\(599\) 4.37625e44i 1.59321i −0.604501 0.796604i \(-0.706627\pi\)
0.604501 0.796604i \(-0.293373\pi\)
\(600\) −2.50358e43 + 1.57517e44i −0.0887445 + 0.558352i
\(601\) 3.87692e44 1.33812 0.669061 0.743208i \(-0.266697\pi\)
0.669061 + 0.743208i \(0.266697\pi\)
\(602\) 2.96282e44 + 2.96282e44i 0.995775 + 0.995775i
\(603\) −2.42716e44 + 2.42716e44i −0.794366 + 0.794366i
\(604\) 3.07494e44i 0.980045i
\(605\) −2.23574e44 1.76567e43i −0.693963 0.0548053i
\(606\) −1.00438e45 −3.03624
\(607\) 3.41948e44 + 3.41948e44i 1.00679 + 1.00679i 0.999977 + 0.00681785i \(0.00217020\pi\)
0.00681785 + 0.999977i \(0.497830\pi\)
\(608\) −8.33779e43 + 8.33779e43i −0.239108 + 0.239108i
\(609\) 2.34298e44i 0.654474i
\(610\) −2.79187e44 3.27065e44i −0.759656 0.889932i
\(611\) −1.89871e44 −0.503269
\(612\) −1.05903e45 1.05903e45i −2.73455 2.73455i
\(613\) 1.01018e44 1.01018e44i 0.254115 0.254115i −0.568541 0.822655i \(-0.692492\pi\)
0.822655 + 0.568541i \(0.192492\pi\)
\(614\) 2.55156e44i 0.625333i
\(615\) −6.99010e44 + 5.96683e44i −1.66910 + 1.42476i
\(616\) 1.08843e44 0.253227
\(617\) 1.13669e44 + 1.13669e44i 0.257680 + 0.257680i 0.824110 0.566430i \(-0.191676\pi\)
−0.566430 + 0.824110i \(0.691676\pi\)
\(618\) 6.65397e44 6.65397e44i 1.46982 1.46982i
\(619\) 3.11585e44i 0.670698i −0.942094 0.335349i \(-0.891146\pi\)
0.942094 0.335349i \(-0.108854\pi\)
\(620\) −3.36579e43 + 4.26187e44i −0.0706025 + 0.893992i
\(621\) 3.72249e44 0.760970
\(622\) −4.00557e44 4.00557e44i −0.798029 0.798029i
\(623\) −9.83922e44 + 9.83922e44i −1.91052 + 1.91052i
\(624\) 5.44803e44i 1.03106i
\(625\) 5.15387e44 + 1.68077e44i 0.950721 + 0.310048i
\(626\) 7.67869e44 1.38070
\(627\) −9.44689e43 9.44689e43i −0.165580 0.165580i
\(628\) 1.31664e44 1.31664e44i 0.224965 0.224965i
\(629\) 4.83155e44i 0.804778i
\(630\) 2.88926e45 + 2.28178e44i 4.69178 + 0.370531i
\(631\) 1.86545e44 0.295335 0.147667 0.989037i \(-0.452824\pi\)
0.147667 + 0.989037i \(0.452824\pi\)
\(632\) 1.91900e44 + 1.91900e44i 0.296212 + 0.296212i
\(633\) 1.30917e45 1.30917e45i 1.97031 1.97031i
\(634\) 1.46402e44i 0.214842i
\(635\) 3.65689e44 + 4.28402e44i 0.523277 + 0.613016i
\(636\) −2.67468e45 −3.73214
\(637\) −4.45951e44 4.45951e44i −0.606814 0.606814i
\(638\) 1.10595e44 1.10595e44i 0.146759 0.146759i
\(639\) 1.49160e44i 0.193037i
\(640\) −3.73270e44 + 3.18628e44i −0.471134 + 0.402165i
\(641\) −7.52084e44 −0.925844 −0.462922 0.886399i \(-0.653199\pi\)
−0.462922 + 0.886399i \(0.653199\pi\)
\(642\) 1.20042e45 + 1.20042e45i 1.44137 + 1.44137i
\(643\) −6.05411e44 + 6.05411e44i −0.709047 + 0.709047i −0.966335 0.257288i \(-0.917171\pi\)
0.257288 + 0.966335i \(0.417171\pi\)
\(644\) 5.55166e44i 0.634233i
\(645\) 8.23072e43 1.04220e45i 0.0917238 1.16144i
\(646\) 4.75949e44 0.517416
\(647\) −5.56649e44 5.56649e44i −0.590355 0.590355i 0.347372 0.937727i \(-0.387074\pi\)
−0.937727 + 0.347372i \(0.887074\pi\)
\(648\) 3.42425e44 3.42425e44i 0.354295 0.354295i
\(649\) 5.96972e44i 0.602613i
\(650\) −1.16258e45 1.84781e44i −1.14501 0.181989i
\(651\) 1.98940e45 1.91173
\(652\) 7.31319e44 + 7.31319e44i 0.685717 + 0.685717i
\(653\) 2.85913e44 2.85913e44i 0.261591 0.261591i −0.564109 0.825700i \(-0.690780\pi\)
0.825700 + 0.564109i \(0.190780\pi\)
\(654\) 1.18505e45i 1.05801i
\(655\) −1.49734e45 1.18252e44i −1.30455 0.103026i
\(656\) −1.07293e45 −0.912239
\(657\) −7.68570e44 7.68570e44i −0.637731 0.637731i
\(658\) −1.21586e45 + 1.21586e45i −0.984623 + 0.984623i
\(659\) 8.65260e44i 0.683880i 0.939722 + 0.341940i \(0.111084\pi\)
−0.939722 + 0.341940i \(0.888916\pi\)
\(660\) −1.00397e45 1.17614e45i −0.774490 0.907310i
\(661\) 6.54854e44 0.493084 0.246542 0.969132i \(-0.420706\pi\)
0.246542 + 0.969132i \(0.420706\pi\)
\(662\) −5.15955e43 5.15955e43i −0.0379214 0.0379214i
\(663\) 2.00164e45 2.00164e45i 1.43605 1.43605i
\(664\) 2.44878e44i 0.171498i
\(665\) −3.83976e44 + 3.27766e44i −0.262517 + 0.224088i
\(666\) −2.68019e45 −1.78886
\(667\) −9.90665e43 9.90665e43i −0.0645526 0.0645526i
\(668\) 1.42370e45 1.42370e45i 0.905722 0.905722i
\(669\) 1.49896e45i 0.931047i
\(670\) 9.94018e43 1.25866e45i 0.0602834 0.763328i
\(671\) 7.32193e44 0.433576
\(672\) 4.49088e45 + 4.49088e45i 2.59671 + 2.59671i
\(673\) −3.00169e44 + 3.00169e44i −0.169482 + 0.169482i −0.786752 0.617270i \(-0.788239\pi\)
0.617270 + 0.786752i \(0.288239\pi\)
\(674\) 3.85503e45i 2.12554i
\(675\) −2.30129e45 3.17107e45i −1.23911 1.70744i
\(676\) −9.05686e44 −0.476245
\(677\) −5.99375e44 5.99375e44i −0.307808 0.307808i 0.536251 0.844059i \(-0.319840\pi\)
−0.844059 + 0.536251i \(0.819840\pi\)
\(678\) −4.59857e45 + 4.59857e45i −2.30647 + 2.30647i
\(679\) 1.08836e45i 0.533159i
\(680\) 9.64472e44 + 7.61686e43i 0.461474 + 0.0364446i
\(681\) 6.28796e45 2.93870
\(682\) −9.39051e44 9.39051e44i −0.428686 0.428686i
\(683\) 1.27418e45 1.27418e45i 0.568199 0.568199i −0.363425 0.931624i \(-0.618393\pi\)
0.931624 + 0.363425i \(0.118393\pi\)
\(684\) 1.44718e45i 0.630414i
\(685\) 9.48747e43 + 1.11145e44i 0.0403740 + 0.0472978i
\(686\) −5.24516e44 −0.218059
\(687\) −4.69093e45 4.69093e45i −1.90525 1.90525i
\(688\) 8.63016e44 8.63016e44i 0.342455 0.342455i
\(689\) 3.46688e45i 1.34410i
\(690\) −1.92205e45 + 1.64069e45i −0.728082 + 0.621499i
\(691\) 1.20317e45 0.445327 0.222664 0.974895i \(-0.428525\pi\)
0.222664 + 0.974895i \(0.428525\pi\)
\(692\) 6.32811e44 + 6.32811e44i 0.228864 + 0.228864i
\(693\) −3.48947e45 + 3.48947e45i −1.23318 + 1.23318i
\(694\) 4.74395e45i 1.63828i
\(695\) −3.32965e44 + 4.21611e45i −0.112368 + 1.42284i
\(696\) −4.33861e44 −0.143088
\(697\) 3.94200e45 + 3.94200e45i 1.27055 + 1.27055i
\(698\) 5.68761e45 5.68761e45i 1.79161 1.79161i
\(699\) 4.21159e45i 1.29661i
\(700\) −4.72928e45 + 3.43211e45i −1.42307 + 1.03274i
\(701\) −1.63096e45 −0.479685 −0.239842 0.970812i \(-0.577096\pi\)
−0.239842 + 0.970812i \(0.577096\pi\)
\(702\) 6.01622e45 + 6.01622e45i 1.72954 + 1.72954i
\(703\) 3.30119e44 3.30119e44i 0.0927653 0.0927653i
\(704\) 2.75139e45i 0.755770i
\(705\) 4.27691e45 + 3.37767e44i 1.14843 + 0.0906966i
\(706\) 5.72524e45 1.50286
\(707\) −4.56956e45 4.56956e45i −1.17264 1.17264i
\(708\) 6.66758e45 6.66758e45i 1.67277 1.67277i
\(709\) 5.86017e45i 1.43738i 0.695333 + 0.718688i \(0.255257\pi\)
−0.695333 + 0.718688i \(0.744743\pi\)
\(710\) −3.56209e44 4.17297e44i −0.0854224 0.100072i
\(711\) −1.23045e46 −2.88502
\(712\) −1.82197e45 1.82197e45i −0.417698 0.417698i
\(713\) −8.41164e44 + 8.41164e44i −0.188559 + 0.188559i
\(714\) 2.56354e46i 5.61913i
\(715\) 1.52449e45 1.30133e45i 0.326760 0.278927i
\(716\) −2.11936e45 −0.444218
\(717\) 3.32940e45 + 3.32940e45i 0.682432 + 0.682432i
\(718\) −3.95824e45 + 3.95824e45i −0.793435 + 0.793435i
\(719\) 1.00420e46i 1.96860i 0.176503 + 0.984300i \(0.443522\pi\)
−0.176503 + 0.984300i \(0.556478\pi\)
\(720\) 6.64641e44 8.41590e45i 0.127429 1.61354i
\(721\) 6.05463e45 1.13533
\(722\) 5.41034e45 + 5.41034e45i 0.992269 + 0.992269i
\(723\) 4.17281e45 4.17281e45i 0.748542 0.748542i
\(724\) 1.09058e46i 1.91356i
\(725\) −2.31474e44 + 1.45636e45i −0.0397277 + 0.249954i
\(726\) −1.10041e46 −1.84743
\(727\) −1.99012e45 1.99012e45i −0.326835 0.326835i 0.524547 0.851382i \(-0.324235\pi\)
−0.851382 + 0.524547i \(0.824235\pi\)
\(728\) 1.57574e45 1.57574e45i 0.253152 0.253152i
\(729\) 1.99071e45i 0.312872i
\(730\) 3.98560e45 + 3.14760e44i 0.612813 + 0.0483965i
\(731\) −6.34155e45 −0.953932
\(732\) −8.17787e45 8.17787e45i −1.20355 1.20355i
\(733\) −5.29743e45 + 5.29743e45i −0.762784 + 0.762784i −0.976825 0.214040i \(-0.931338\pi\)
0.214040 + 0.976825i \(0.431338\pi\)
\(734\) 4.97717e45i 0.701205i
\(735\) 9.25186e45 + 1.08385e46i 1.27536 + 1.49407i
\(736\) −3.79769e45 −0.512241
\(737\) 1.52013e45 + 1.52013e45i 0.200632 + 0.200632i
\(738\) −2.18673e46 + 2.18673e46i −2.82419 + 2.82419i
\(739\) 1.07265e46i 1.35564i −0.735227 0.677821i \(-0.762924\pi\)
0.735227 0.677821i \(-0.237076\pi\)
\(740\) 4.10999e45 3.50833e45i 0.508315 0.433904i
\(741\) −2.73527e45 −0.331062
\(742\) −2.22006e46 2.22006e46i −2.62967 2.62967i
\(743\) 5.94249e45 5.94249e45i 0.688887 0.688887i −0.273099 0.961986i \(-0.588049\pi\)
0.961986 + 0.273099i \(0.0880487\pi\)
\(744\) 3.68387e45i 0.417962i
\(745\) 1.04090e45 1.31802e46i 0.115586 1.46359i
\(746\) 1.75157e46 1.90373
\(747\) −7.85067e45 7.85067e45i −0.835174 0.835174i
\(748\) −6.63272e45 + 6.63272e45i −0.690663 + 0.690663i
\(749\) 1.09230e46i 1.11335i
\(750\) 2.58589e46 + 6.23041e45i 2.58006 + 0.621636i
\(751\) 1.41269e46 1.37977 0.689887 0.723917i \(-0.257660\pi\)
0.689887 + 0.723917i \(0.257660\pi\)
\(752\) 3.54159e45 + 3.54159e45i 0.338620 + 0.338620i
\(753\) 1.31960e46 1.31960e46i 1.23515 1.23515i