Properties

Label 5.33.c.a.2.6
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 2.6
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-37971.9 - 37971.9i) q^{2} +(3.04306e7 - 3.04306e7i) q^{3} -1.41124e9i q^{4} +(7.42414e10 - 1.33309e11i) q^{5} -2.31101e12 q^{6} +(-9.26812e12 - 9.26812e12i) q^{7} +(-2.16675e14 + 2.16675e14i) q^{8} +9.78102e11i q^{9} +O(q^{10})\) \(q+(-37971.9 - 37971.9i) q^{2} +(3.04306e7 - 3.04306e7i) q^{3} -1.41124e9i q^{4} +(7.42414e10 - 1.33309e11i) q^{5} -2.31101e12 q^{6} +(-9.26812e12 - 9.26812e12i) q^{7} +(-2.16675e14 + 2.16675e14i) q^{8} +9.78102e11i q^{9} +(-7.88108e15 + 2.24291e15i) q^{10} +1.98923e16 q^{11} +(-4.29449e16 - 4.29449e16i) q^{12} +(-8.93581e17 + 8.93581e17i) q^{13} +7.03856e17i q^{14} +(-1.79746e18 - 6.31588e18i) q^{15} +1.03939e19 q^{16} +(-3.66719e19 - 3.66719e19i) q^{17} +(3.71404e16 - 3.71404e16i) q^{18} -2.80535e20i q^{19} +(-1.88131e20 - 1.04772e20i) q^{20} -5.64069e20 q^{21} +(-7.55348e20 - 7.55348e20i) q^{22} +(-2.06972e21 + 2.06972e21i) q^{23} +1.31871e22i q^{24} +(-1.22595e22 - 1.97941e22i) q^{25} +6.78619e22 q^{26} +(5.64183e22 + 5.64183e22i) q^{27} +(-1.30795e22 + 1.30795e22i) q^{28} +1.02359e23i q^{29} +(-1.71573e23 + 3.08079e23i) q^{30} -9.64778e23 q^{31} +(5.35937e23 + 5.35937e23i) q^{32} +(6.05335e23 - 6.05335e23i) q^{33} +2.78500e24i q^{34} +(-1.92360e24 + 5.47445e23i) q^{35} +1.38034e21 q^{36} +(7.27232e24 + 7.27232e24i) q^{37} +(-1.06524e25 + 1.06524e25i) q^{38} +5.43844e25i q^{39} +(1.27985e25 + 4.49711e25i) q^{40} +1.58648e25 q^{41} +(2.14188e25 + 2.14188e25i) q^{42} +(-9.21200e25 + 9.21200e25i) q^{43} -2.80728e25i q^{44} +(1.30390e23 + 7.26157e22i) q^{45} +1.57183e26 q^{46} +(-3.74128e26 - 3.74128e26i) q^{47} +(3.16293e26 - 3.16293e26i) q^{48} -9.32632e26i q^{49} +(-2.86103e26 + 1.21713e27i) q^{50} -2.23189e27 q^{51} +(1.26106e27 + 1.26106e27i) q^{52} +(4.43458e27 - 4.43458e27i) q^{53} -4.28462e27i q^{54} +(1.47683e27 - 2.65182e27i) q^{55} +4.01635e27 q^{56} +(-8.53685e27 - 8.53685e27i) q^{57} +(3.88675e27 - 3.88675e27i) q^{58} +4.27569e27i q^{59} +(-8.91322e27 + 2.53665e27i) q^{60} -5.42671e28 q^{61} +(3.66344e28 + 3.66344e28i) q^{62} +(9.06517e24 - 9.06517e24i) q^{63} -8.53426e28i q^{64} +(5.27816e28 + 1.85463e29i) q^{65} -4.59714e28 q^{66} +(1.45709e29 + 1.45709e29i) q^{67} +(-5.17528e28 + 5.17528e28i) q^{68} +1.25966e29i q^{69} +(9.38303e28 + 5.22553e28i) q^{70} -1.17360e29 q^{71} +(-2.11931e26 - 2.11931e26i) q^{72} +(-8.02415e28 + 8.02415e28i) q^{73} -5.52287e29i q^{74} +(-9.75409e29 - 2.29283e29i) q^{75} -3.95902e29 q^{76} +(-1.84364e29 - 1.84364e29i) q^{77} +(2.06508e30 - 2.06508e30i) q^{78} -2.05013e30i q^{79} +(7.71659e29 - 1.38560e30i) q^{80} +3.43187e30 q^{81} +(-6.02417e29 - 6.02417e29i) q^{82} +(-4.06190e30 + 4.06190e30i) q^{83} +7.96036e29i q^{84} +(-7.61126e30 + 2.16612e30i) q^{85} +6.99594e30 q^{86} +(3.11484e30 + 3.11484e30i) q^{87} +(-4.31017e30 + 4.31017e30i) q^{88} -1.23259e31i q^{89} +(-2.19379e27 - 7.70850e27i) q^{90} +1.65636e31 q^{91} +(2.92087e30 + 2.92087e30i) q^{92} +(-2.93588e31 + 2.93588e31i) q^{93} +2.84127e31i q^{94} +(-3.73978e31 - 2.08273e31i) q^{95} +3.26178e31 q^{96} +(2.90974e31 + 2.90974e31i) q^{97} +(-3.54138e31 + 3.54138e31i) q^{98} +1.94567e28i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −37971.9 37971.9i −0.579405 0.579405i 0.355334 0.934739i \(-0.384367\pi\)
−0.934739 + 0.355334i \(0.884367\pi\)
\(3\) 3.04306e7 3.04306e7i 0.706920 0.706920i −0.258966 0.965886i \(-0.583382\pi\)
0.965886 + 0.258966i \(0.0833818\pi\)
\(4\) 1.41124e9i 0.328580i
\(5\) 7.42414e10 1.33309e11i 0.486549 0.873654i
\(6\) −2.31101e12 −0.819186
\(7\) −9.26812e12 9.26812e12i −0.278884 0.278884i 0.553780 0.832663i \(-0.313185\pi\)
−0.832663 + 0.553780i \(0.813185\pi\)
\(8\) −2.16675e14 + 2.16675e14i −0.769786 + 0.769786i
\(9\) 9.78102e11i 0.000527842i
\(10\) −7.88108e15 + 2.24291e15i −0.788108 + 0.224291i
\(11\) 1.98923e16 0.432914 0.216457 0.976292i \(-0.430550\pi\)
0.216457 + 0.976292i \(0.430550\pi\)
\(12\) −4.29449e16 4.29449e16i −0.232280 0.232280i
\(13\) −8.93581e17 + 8.93581e17i −1.34289 + 1.34289i −0.449719 + 0.893170i \(0.648476\pi\)
−0.893170 + 0.449719i \(0.851524\pi\)
\(14\) 7.03856e17i 0.323173i
\(15\) −1.79746e18 6.31588e18i −0.273652 0.961554i
\(16\) 1.03939e19 0.563455
\(17\) −3.66719e19 3.66719e19i −0.753617 0.753617i 0.221536 0.975152i \(-0.428893\pi\)
−0.975152 + 0.221536i \(0.928893\pi\)
\(18\) 3.71404e16 3.71404e16i 0.000305834 0.000305834i
\(19\) 2.80535e20i 0.972589i −0.873795 0.486295i \(-0.838348\pi\)
0.873795 0.486295i \(-0.161652\pi\)
\(20\) −1.88131e20 1.04772e20i −0.287065 0.159870i
\(21\) −5.64069e20 −0.394297
\(22\) −7.55348e20 7.55348e20i −0.250833 0.250833i
\(23\) −2.06972e21 + 2.06972e21i −0.337495 + 0.337495i −0.855424 0.517929i \(-0.826703\pi\)
0.517929 + 0.855424i \(0.326703\pi\)
\(24\) 1.31871e22i 1.08835i
\(25\) −1.22595e22 1.97941e22i −0.526541 0.850150i
\(26\) 6.78619e22 1.55615
\(27\) 5.64183e22 + 5.64183e22i 0.707293 + 0.707293i
\(28\) −1.30795e22 + 1.30795e22i −0.0916355 + 0.0916355i
\(29\) 1.02359e23i 0.409031i 0.978863 + 0.204516i \(0.0655620\pi\)
−0.978863 + 0.204516i \(0.934438\pi\)
\(30\) −1.71573e23 + 3.08079e23i −0.398574 + 0.715685i
\(31\) −9.64778e23 −1.32630 −0.663148 0.748488i \(-0.730780\pi\)
−0.663148 + 0.748488i \(0.730780\pi\)
\(32\) 5.35937e23 + 5.35937e23i 0.443317 + 0.443317i
\(33\) 6.05335e23 6.05335e23i 0.306036 0.306036i
\(34\) 2.78500e24i 0.873298i
\(35\) −1.92360e24 + 5.47445e23i −0.379338 + 0.107957i
\(36\) 1.38034e21 0.000173438
\(37\) 7.27232e24 + 7.27232e24i 0.589448 + 0.589448i 0.937482 0.348034i \(-0.113151\pi\)
−0.348034 + 0.937482i \(0.613151\pi\)
\(38\) −1.06524e25 + 1.06524e25i −0.563523 + 0.563523i
\(39\) 5.43844e25i 1.89863i
\(40\) 1.27985e25 + 4.49711e25i 0.297988 + 1.04706i
\(41\) 1.58648e25 0.248825 0.124412 0.992231i \(-0.460295\pi\)
0.124412 + 0.992231i \(0.460295\pi\)
\(42\) 2.14188e25 + 2.14188e25i 0.228458 + 0.228458i
\(43\) −9.21200e25 + 9.21200e25i −0.674309 + 0.674309i −0.958706 0.284398i \(-0.908206\pi\)
0.284398 + 0.958706i \(0.408206\pi\)
\(44\) 2.80728e25i 0.142247i
\(45\) 1.30390e23 + 7.26157e22i 0.000461151 + 0.000256821i
\(46\) 1.57183e26 0.391092
\(47\) −3.74128e26 3.74128e26i −0.659863 0.659863i 0.295484 0.955348i \(-0.404519\pi\)
−0.955348 + 0.295484i \(0.904519\pi\)
\(48\) 3.16293e26 3.16293e26i 0.398318 0.398318i
\(49\) 9.32632e26i 0.844448i
\(50\) −2.86103e26 + 1.21713e27i −0.187501 + 0.797661i
\(51\) −2.23189e27 −1.06549
\(52\) 1.26106e27 + 1.26106e27i 0.441246 + 0.441246i
\(53\) 4.43458e27 4.43458e27i 1.14403 1.14403i 0.156328 0.987705i \(-0.450034\pi\)
0.987705 0.156328i \(-0.0499658\pi\)
\(54\) 4.28462e27i 0.819618i
\(55\) 1.47683e27 2.65182e27i 0.210634 0.378217i
\(56\) 4.01635e27 0.429361
\(57\) −8.53685e27 8.53685e27i −0.687543 0.687543i
\(58\) 3.88675e27 3.88675e27i 0.236995 0.236995i
\(59\) 4.27569e27i 0.198323i 0.995071 + 0.0991617i \(0.0316161\pi\)
−0.995071 + 0.0991617i \(0.968384\pi\)
\(60\) −8.91322e27 + 2.53665e27i −0.315947 + 0.0899166i
\(61\) −5.42671e28 −1.47659 −0.738295 0.674478i \(-0.764369\pi\)
−0.738295 + 0.674478i \(0.764369\pi\)
\(62\) 3.66344e28 + 3.66344e28i 0.768462 + 0.768462i
\(63\) 9.06517e24 9.06517e24i 0.000147207 0.000147207i
\(64\) 8.53426e28i 1.07718i
\(65\) 5.27816e28 + 1.85463e29i 0.519839 + 1.82660i
\(66\) −4.59714e28 −0.354637
\(67\) 1.45709e29 + 1.45709e29i 0.883669 + 0.883669i 0.993905 0.110236i \(-0.0351607\pi\)
−0.110236 + 0.993905i \(0.535161\pi\)
\(68\) −5.17528e28 + 5.17528e28i −0.247623 + 0.247623i
\(69\) 1.25966e29i 0.477163i
\(70\) 9.38303e28 + 5.22553e28i 0.282341 + 0.157239i
\(71\) −1.17360e29 −0.281441 −0.140720 0.990049i \(-0.544942\pi\)
−0.140720 + 0.990049i \(0.544942\pi\)
\(72\) −2.11931e26 2.11931e26i −0.000406325 0.000406325i
\(73\) −8.02415e28 + 8.02415e28i −0.123377 + 0.123377i −0.766099 0.642722i \(-0.777805\pi\)
0.642722 + 0.766099i \(0.277805\pi\)
\(74\) 5.52287e29i 0.683058i
\(75\) −9.75409e29 2.29283e29i −0.973210 0.228766i
\(76\) −3.95902e29 −0.319573
\(77\) −1.84364e29 1.84364e29i −0.120733 0.120733i
\(78\) 2.06508e30 2.06508e30i 1.10008 1.10008i
\(79\) 2.05013e30i 0.890734i −0.895348 0.445367i \(-0.853073\pi\)
0.895348 0.445367i \(-0.146927\pi\)
\(80\) 7.71659e29 1.38560e30i 0.274148 0.492265i
\(81\) 3.43187e30 0.999472
\(82\) −6.02417e29 6.02417e29i −0.144170 0.144170i
\(83\) −4.06190e30 + 4.06190e30i −0.800718 + 0.800718i −0.983208 0.182490i \(-0.941584\pi\)
0.182490 + 0.983208i \(0.441584\pi\)
\(84\) 7.96036e29i 0.129558i
\(85\) −7.61126e30 + 2.16612e30i −1.02507 + 0.291729i
\(86\) 6.99594e30 0.781396
\(87\) 3.11484e30 + 3.11484e30i 0.289153 + 0.289153i
\(88\) −4.31017e30 + 4.31017e30i −0.333251 + 0.333251i
\(89\) 1.23259e31i 0.795386i −0.917519 0.397693i \(-0.869811\pi\)
0.917519 0.397693i \(-0.130189\pi\)
\(90\) −2.19379e27 7.70850e27i −0.000118390 0.000415997i
\(91\) 1.65636e31 0.749019
\(92\) 2.92087e30 + 2.92087e30i 0.110894 + 0.110894i
\(93\) −2.93588e31 + 2.93588e31i −0.937585 + 0.937585i
\(94\) 2.84127e31i 0.764656i
\(95\) −3.73978e31 2.08273e31i −0.849706 0.473212i
\(96\) 3.26178e31 0.626779
\(97\) 2.90974e31 + 2.90974e31i 0.473704 + 0.473704i 0.903111 0.429407i \(-0.141277\pi\)
−0.429407 + 0.903111i \(0.641277\pi\)
\(98\) −3.54138e31 + 3.54138e31i −0.489277 + 0.489277i
\(99\) 1.94567e28i 0.000228510i
\(100\) −2.79342e31 + 1.73011e31i −0.279342 + 0.173011i
\(101\) 4.16959e31 0.355592 0.177796 0.984067i \(-0.443103\pi\)
0.177796 + 0.984067i \(0.443103\pi\)
\(102\) 8.47492e31 + 8.47492e31i 0.617352 + 0.617352i
\(103\) 1.50389e32 1.50389e32i 0.937176 0.937176i −0.0609644 0.998140i \(-0.519418\pi\)
0.998140 + 0.0609644i \(0.0194176\pi\)
\(104\) 3.87234e32i 2.06747i
\(105\) −4.18773e31 + 7.51954e31i −0.191845 + 0.344479i
\(106\) −3.36779e32 −1.32572
\(107\) −4.62097e31 4.62097e31i −0.156528 0.156528i 0.624498 0.781026i \(-0.285304\pi\)
−0.781026 + 0.624498i \(0.785304\pi\)
\(108\) 7.96197e31 7.96197e31i 0.232402 0.232402i
\(109\) 5.38999e32i 1.35758i −0.734334 0.678788i \(-0.762505\pi\)
0.734334 0.678788i \(-0.237495\pi\)
\(110\) −1.56773e32 + 4.46165e31i −0.341183 + 0.0970986i
\(111\) 4.42602e32 0.833385
\(112\) −9.63321e31 9.63321e31i −0.157138 0.157138i
\(113\) −4.09133e32 + 4.09133e32i −0.578908 + 0.578908i −0.934602 0.355694i \(-0.884244\pi\)
0.355694 + 0.934602i \(0.384244\pi\)
\(114\) 6.48320e32i 0.796732i
\(115\) 1.22253e32 + 4.29572e32i 0.130646 + 0.459061i
\(116\) 1.44453e32 0.134399
\(117\) −8.74013e29 8.74013e29i −0.000708833 0.000708833i
\(118\) 1.62356e32 1.62356e32i 0.114910 0.114910i
\(119\) 6.79759e32i 0.420343i
\(120\) 1.75796e33 + 9.79031e32i 0.950844 + 0.529537i
\(121\) −1.71567e33 −0.812585
\(122\) 2.06063e33 + 2.06063e33i 0.855543 + 0.855543i
\(123\) 4.82776e32 4.82776e32i 0.175899 0.175899i
\(124\) 1.36153e33i 0.435794i
\(125\) −3.54889e33 + 1.64758e32i −0.998924 + 0.0463752i
\(126\) −6.88443e29 −0.000170584
\(127\) −5.06270e33 5.06270e33i −1.10541 1.10541i −0.993746 0.111661i \(-0.964383\pi\)
−0.111661 0.993746i \(-0.535617\pi\)
\(128\) −9.38787e32 + 9.38787e32i −0.180804 + 0.180804i
\(129\) 5.60654e33i 0.953365i
\(130\) 5.03816e33 9.04660e33i 0.757144 1.35954i
\(131\) 9.32687e32 0.123992 0.0619962 0.998076i \(-0.480253\pi\)
0.0619962 + 0.998076i \(0.480253\pi\)
\(132\) −8.54272e32 8.54272e32i −0.100557 0.100557i
\(133\) −2.60003e33 + 2.60003e33i −0.271239 + 0.271239i
\(134\) 1.10657e34i 1.02400i
\(135\) 1.17096e34 3.33249e33i 0.962062 0.273797i
\(136\) 1.58918e34 1.16025
\(137\) −1.30606e34 1.30606e34i −0.848072 0.848072i 0.141820 0.989892i \(-0.454704\pi\)
−0.989892 + 0.141820i \(0.954704\pi\)
\(138\) 4.78316e33 4.78316e33i 0.276471 0.276471i
\(139\) 1.49340e34i 0.769025i 0.923120 + 0.384513i \(0.125631\pi\)
−0.923120 + 0.384513i \(0.874369\pi\)
\(140\) 7.72576e32 + 2.71466e33i 0.0354726 + 0.124643i
\(141\) −2.27698e34 −0.932941
\(142\) 4.45639e33 + 4.45639e33i 0.163068 + 0.163068i
\(143\) −1.77754e34 + 1.77754e34i −0.581356 + 0.581356i
\(144\) 1.01663e31i 0.000297416i
\(145\) 1.36453e34 + 7.59925e33i 0.357352 + 0.199014i
\(146\) 6.09384e33 0.142970
\(147\) −2.83805e34 2.83805e34i −0.596957 0.596957i
\(148\) 1.02630e34 1.02630e34i 0.193681 0.193681i
\(149\) 8.34768e33i 0.141444i −0.997496 0.0707222i \(-0.977470\pi\)
0.997496 0.0707222i \(-0.0225304\pi\)
\(150\) 2.83318e34 + 4.57444e34i 0.431335 + 0.696431i
\(151\) −5.21301e34 −0.713604 −0.356802 0.934180i \(-0.616133\pi\)
−0.356802 + 0.934180i \(0.616133\pi\)
\(152\) 6.07851e34 + 6.07851e34i 0.748685 + 0.748685i
\(153\) 3.58688e31 3.58688e31i 0.000397791 0.000397791i
\(154\) 1.40013e34i 0.139906i
\(155\) −7.16265e34 + 1.28614e35i −0.645307 + 1.15872i
\(156\) 7.67494e34 0.623852
\(157\) 5.64726e34 + 5.64726e34i 0.414422 + 0.414422i 0.883276 0.468854i \(-0.155333\pi\)
−0.468854 + 0.883276i \(0.655333\pi\)
\(158\) −7.78473e34 + 7.78473e34i −0.516096 + 0.516096i
\(159\) 2.69894e35i 1.61748i
\(160\) 1.11234e35 3.16565e34i 0.603001 0.171610i
\(161\) 3.83649e34 0.188243
\(162\) −1.30315e35 1.30315e35i −0.579099 0.579099i
\(163\) −1.65579e35 + 1.65579e35i −0.666814 + 0.666814i −0.956977 0.290163i \(-0.906290\pi\)
0.290163 + 0.956977i \(0.406290\pi\)
\(164\) 2.23891e34i 0.0817587i
\(165\) −3.57556e34 1.25637e35i −0.118468 0.416271i
\(166\) 3.08476e35 0.927880
\(167\) −2.81705e35 2.81705e35i −0.769718 0.769718i 0.208339 0.978057i \(-0.433194\pi\)
−0.978057 + 0.208339i \(0.933194\pi\)
\(168\) 1.22220e35 1.22220e35i 0.303524 0.303524i
\(169\) 1.15419e36i 2.60670i
\(170\) 3.71265e35 + 2.06762e35i 0.762960 + 0.424902i
\(171\) 2.74392e32 0.000513374
\(172\) 1.30003e35 + 1.30003e35i 0.221564 + 0.221564i
\(173\) −8.17618e35 + 8.17618e35i −1.27003 + 1.27003i −0.323955 + 0.946073i \(0.605012\pi\)
−0.946073 + 0.323955i \(0.894988\pi\)
\(174\) 2.36552e35i 0.335073i
\(175\) −6.98316e34 + 2.97076e35i −0.0902492 + 0.383936i
\(176\) 2.06759e35 0.243928
\(177\) 1.30112e35 + 1.30112e35i 0.140199 + 0.140199i
\(178\) −4.68037e35 + 4.68037e35i −0.460851 + 0.460851i
\(179\) 1.95532e36i 1.76023i 0.474761 + 0.880115i \(0.342535\pi\)
−0.474761 + 0.880115i \(0.657465\pi\)
\(180\) 1.02478e32 1.84011e32i 8.43862e−5 0.000151525i
\(181\) 2.09841e36 1.58137 0.790683 0.612226i \(-0.209726\pi\)
0.790683 + 0.612226i \(0.209726\pi\)
\(182\) −6.28952e35 6.28952e35i −0.433986 0.433986i
\(183\) −1.65138e36 + 1.65138e36i −1.04383 + 1.04383i
\(184\) 8.96916e35i 0.519597i
\(185\) 1.50937e36 4.29558e35i 0.801768 0.228178i
\(186\) 2.22962e36 1.08648
\(187\) −7.29488e35 7.29488e35i −0.326251 0.326251i
\(188\) −5.27984e35 + 5.27984e35i −0.216818 + 0.216818i
\(189\) 1.04578e36i 0.394505i
\(190\) 6.29214e35 + 2.21092e36i 0.218143 + 0.766505i
\(191\) −5.67177e36 −1.80794 −0.903972 0.427591i \(-0.859362\pi\)
−0.903972 + 0.427591i \(0.859362\pi\)
\(192\) −2.59703e36 2.59703e36i −0.761477 0.761477i
\(193\) −7.44448e35 + 7.44448e35i −0.200871 + 0.200871i −0.800373 0.599502i \(-0.795365\pi\)
0.599502 + 0.800373i \(0.295365\pi\)
\(194\) 2.20977e36i 0.548933i
\(195\) 7.24992e36 + 4.03757e36i 1.65875 + 0.923776i
\(196\) −1.31617e36 −0.277469
\(197\) −3.61428e36 3.61428e36i −0.702365 0.702365i 0.262553 0.964918i \(-0.415436\pi\)
−0.964918 + 0.262553i \(0.915436\pi\)
\(198\) 7.38808e32 7.38808e32i 0.000132400 0.000132400i
\(199\) 9.57640e36i 1.58326i −0.610998 0.791632i \(-0.709232\pi\)
0.610998 0.791632i \(-0.290768\pi\)
\(200\) 6.94522e36 + 1.63256e36i 1.05976 + 0.249109i
\(201\) 8.86803e36 1.24937
\(202\) −1.58327e36 1.58327e36i −0.206032 0.206032i
\(203\) 9.48672e35 9.48672e35i 0.114072 0.114072i
\(204\) 3.14974e36i 0.350100i
\(205\) 1.17783e36 2.11492e36i 0.121065 0.217386i
\(206\) −1.14211e37 −1.08601
\(207\) −2.02440e33 2.02440e33i −0.000178144 0.000178144i
\(208\) −9.28780e36 + 9.28780e36i −0.756658 + 0.756658i
\(209\) 5.58049e36i 0.421048i
\(210\) 4.44547e36 1.26515e36i 0.310748 0.0884370i
\(211\) 1.21317e37 0.785965 0.392982 0.919546i \(-0.371443\pi\)
0.392982 + 0.919546i \(0.371443\pi\)
\(212\) −6.25826e36 6.25826e36i −0.375906 0.375906i
\(213\) −3.57134e36 + 3.57134e36i −0.198956 + 0.198956i
\(214\) 3.50934e36i 0.181386i
\(215\) 5.44130e36 + 1.91196e37i 0.261028 + 0.917196i
\(216\) −2.44489e37 −1.08893
\(217\) 8.94168e36 + 8.94168e36i 0.369882 + 0.369882i
\(218\) −2.04668e37 + 2.04668e37i −0.786586 + 0.786586i
\(219\) 4.88359e36i 0.174435i
\(220\) −3.74236e36 2.08416e36i −0.124275 0.0692101i
\(221\) 6.55386e37 2.02405
\(222\) −1.68064e37 1.68064e37i −0.482867 0.482867i
\(223\) −1.59220e37 + 1.59220e37i −0.425716 + 0.425716i −0.887166 0.461450i \(-0.847329\pi\)
0.461450 + 0.887166i \(0.347329\pi\)
\(224\) 9.93426e36i 0.247268i
\(225\) 1.93606e34 1.19910e34i 0.000448745 0.000277931i
\(226\) 3.10711e37 0.670844
\(227\) 2.21352e37 + 2.21352e37i 0.445318 + 0.445318i 0.893795 0.448477i \(-0.148033\pi\)
−0.448477 + 0.893795i \(0.648033\pi\)
\(228\) −1.20475e37 + 1.20475e37i −0.225913 + 0.225913i
\(229\) 3.22541e37i 0.563920i −0.959426 0.281960i \(-0.909016\pi\)
0.959426 0.281960i \(-0.0909845\pi\)
\(230\) 1.16695e37 2.09538e37i 0.190285 0.341679i
\(231\) −1.12206e37 −0.170697
\(232\) −2.21786e37 2.21786e37i −0.314867 0.314867i
\(233\) 1.28133e37 1.28133e37i 0.169812 0.169812i −0.617085 0.786897i \(-0.711686\pi\)
0.786897 + 0.617085i \(0.211686\pi\)
\(234\) 6.63759e34i 0.000821403i
\(235\) −7.76503e37 + 2.20988e37i −0.897547 + 0.255436i
\(236\) 6.03403e36 0.0651651
\(237\) −6.23867e37 6.23867e37i −0.629678 0.629678i
\(238\) 2.58117e37 2.58117e37i 0.243549 0.243549i
\(239\) 1.92792e38i 1.70107i −0.525915 0.850537i \(-0.676277\pi\)
0.525915 0.850537i \(-0.323723\pi\)
\(240\) −1.86827e37 6.56468e37i −0.154191 0.541793i
\(241\) 4.16303e37 0.321467 0.160734 0.986998i \(-0.448614\pi\)
0.160734 + 0.986998i \(0.448614\pi\)
\(242\) 6.51474e37 + 6.51474e37i 0.470816 + 0.470816i
\(243\) −1.10337e35 + 1.10337e35i −0.000746481 + 0.000746481i
\(244\) 7.65840e37i 0.485177i
\(245\) −1.24328e38 6.92399e37i −0.737755 0.410865i
\(246\) −3.66638e37 −0.203834
\(247\) 2.50681e38 + 2.50681e38i 1.30608 + 1.30608i
\(248\) 2.09044e38 2.09044e38i 1.02096 1.02096i
\(249\) 2.47212e38i 1.13209i
\(250\) 1.41014e38 + 1.28502e38i 0.605652 + 0.551912i
\(251\) −4.15942e38 −1.67592 −0.837961 0.545731i \(-0.816252\pi\)
−0.837961 + 0.545731i \(0.816252\pi\)
\(252\) −1.27931e34 1.27931e34i −4.83691e−5 4.83691e-5i
\(253\) −4.11715e37 + 4.11715e37i −0.146106 + 0.146106i
\(254\) 3.84480e38i 1.28096i
\(255\) −1.65699e38 + 2.97531e38i −0.518414 + 0.930872i
\(256\) −2.95249e38 −0.867658
\(257\) 1.31184e38 + 1.31184e38i 0.362201 + 0.362201i 0.864623 0.502422i \(-0.167557\pi\)
−0.502422 + 0.864623i \(0.667557\pi\)
\(258\) 2.12891e38 2.12891e38i 0.552384 0.552384i
\(259\) 1.34801e38i 0.328775i
\(260\) 2.61733e38 7.44875e37i 0.600184 0.170809i
\(261\) −1.00117e35 −0.000215904
\(262\) −3.54159e37 3.54159e37i −0.0718419 0.0718419i
\(263\) 1.43361e38 1.43361e38i 0.273614 0.273614i −0.556939 0.830553i \(-0.688024\pi\)
0.830553 + 0.556939i \(0.188024\pi\)
\(264\) 2.62322e38i 0.471164i
\(265\) −2.61940e38 9.20399e38i −0.442861 1.55612i
\(266\) 1.97456e38 0.314315
\(267\) −3.75084e38 3.75084e38i −0.562274 0.562274i
\(268\) 2.05630e38 2.05630e38i 0.290356 0.290356i
\(269\) 5.49447e38i 0.730952i 0.930821 + 0.365476i \(0.119094\pi\)
−0.930821 + 0.365476i \(0.880906\pi\)
\(270\) −5.71178e38 3.18096e38i −0.716063 0.398784i
\(271\) 2.20854e38 0.260973 0.130487 0.991450i \(-0.458346\pi\)
0.130487 + 0.991450i \(0.458346\pi\)
\(272\) −3.81165e38 3.81165e38i −0.424629 0.424629i
\(273\) 5.04041e38 5.04041e38i 0.529497 0.529497i
\(274\) 9.91868e38i 0.982754i
\(275\) −2.43869e38 3.93750e38i −0.227947 0.368042i
\(276\) 1.77768e38 0.156786
\(277\) 6.85301e38 + 6.85301e38i 0.570433 + 0.570433i 0.932249 0.361816i \(-0.117843\pi\)
−0.361816 + 0.932249i \(0.617843\pi\)
\(278\) 5.67074e38 5.67074e38i 0.445577 0.445577i
\(279\) 9.43652e35i 0.000700075i
\(280\) 2.98179e38 5.35415e38i 0.208905 0.375113i
\(281\) −2.22254e39 −1.47078 −0.735392 0.677642i \(-0.763002\pi\)
−0.735392 + 0.677642i \(0.763002\pi\)
\(282\) 8.64614e38 + 8.64614e38i 0.540551 + 0.540551i
\(283\) 1.27238e39 1.27238e39i 0.751683 0.751683i −0.223111 0.974793i \(-0.571621\pi\)
0.974793 + 0.223111i \(0.0716211\pi\)
\(284\) 1.65623e38i 0.0924758i
\(285\) −1.77183e39 + 5.04251e38i −0.935197 + 0.266151i
\(286\) 1.34993e39 0.673681
\(287\) −1.47037e38 1.47037e38i −0.0693931 0.0693931i
\(288\) −5.24201e35 + 5.24201e35i −0.000234001 + 0.000234001i
\(289\) 3.21742e38i 0.135876i
\(290\) −2.29581e38 8.06697e38i −0.0917419 0.322361i
\(291\) 1.77090e39 0.669742
\(292\) 1.13240e38 + 1.13240e38i 0.0405391 + 0.0405391i
\(293\) −4.00474e39 + 4.00474e39i −1.35735 + 1.35735i −0.480181 + 0.877169i \(0.659429\pi\)
−0.877169 + 0.480181i \(0.840571\pi\)
\(294\) 2.15532e39i 0.691760i
\(295\) 5.69988e38 + 3.17433e38i 0.173266 + 0.0964940i
\(296\) −3.15147e39 −0.907497
\(297\) 1.12229e39 + 1.12229e39i 0.306197 + 0.306197i
\(298\) −3.16977e38 + 3.16977e38i −0.0819536 + 0.0819536i
\(299\) 3.69893e39i 0.906435i
\(300\) −3.23573e38 + 1.37654e39i −0.0751678 + 0.319777i
\(301\) 1.70756e39 0.376107
\(302\) 1.97948e39 + 1.97948e39i 0.413466 + 0.413466i
\(303\) 1.26883e39 1.26883e39i 0.251375 0.251375i
\(304\) 2.91586e39i 0.548011i
\(305\) −4.02887e39 + 7.23430e39i −0.718432 + 1.29003i
\(306\) −2.72402e36 −0.000460964
\(307\) 5.79148e39 + 5.79148e39i 0.930199 + 0.930199i 0.997718 0.0675191i \(-0.0215084\pi\)
−0.0675191 + 0.997718i \(0.521508\pi\)
\(308\) −2.60182e38 + 2.60182e38i −0.0396703 + 0.0396703i
\(309\) 9.15286e39i 1.32502i
\(310\) 7.60349e39 2.16391e39i 1.04526 0.297476i
\(311\) 2.40910e39 0.314549 0.157274 0.987555i \(-0.449729\pi\)
0.157274 + 0.987555i \(0.449729\pi\)
\(312\) −1.17838e40 1.17838e40i −1.46154 1.46154i
\(313\) 9.69168e39 9.69168e39i 1.14206 1.14206i 0.153989 0.988073i \(-0.450788\pi\)
0.988073 0.153989i \(-0.0492121\pi\)
\(314\) 4.28874e39i 0.480237i
\(315\) −5.35457e35 1.88148e36i −5.69844e−5 0.000200231i
\(316\) −2.89323e39 −0.292677
\(317\) −1.29890e39 1.29890e39i −0.124919 0.124919i 0.641884 0.766802i \(-0.278153\pi\)
−0.766802 + 0.641884i \(0.778153\pi\)
\(318\) −1.02484e40 + 1.02484e40i −0.937176 + 0.937176i
\(319\) 2.03615e39i 0.177076i
\(320\) −1.13769e40 6.33596e39i −0.941078 0.524098i
\(321\) −2.81238e39 −0.221306
\(322\) −1.45679e39 1.45679e39i −0.109069 0.109069i
\(323\) −1.02877e40 + 1.02877e40i −0.732959 + 0.732959i
\(324\) 4.84319e39i 0.328406i
\(325\) 2.86425e40 + 6.73278e39i 1.84874 + 0.434571i
\(326\) 1.25747e40 0.772711
\(327\) −1.64021e40 1.64021e40i −0.959698 0.959698i
\(328\) −3.43752e39 + 3.43752e39i −0.191542 + 0.191542i
\(329\) 6.93492e39i 0.368050i
\(330\) −3.41298e39 + 6.12840e39i −0.172548 + 0.309830i
\(331\) 2.60902e40 1.25670 0.628348 0.777932i \(-0.283731\pi\)
0.628348 + 0.777932i \(0.283731\pi\)
\(332\) 5.73231e39 + 5.73231e39i 0.263100 + 0.263100i
\(333\) −7.11307e36 + 7.11307e36i −0.000311135 + 0.000311135i
\(334\) 2.13938e40i 0.891957i
\(335\) 3.02420e40 8.60668e39i 1.20197 0.342073i
\(336\) −5.86288e39 −0.222169
\(337\) −4.28358e39 4.28358e39i −0.154785 0.154785i 0.625466 0.780251i \(-0.284909\pi\)
−0.780251 + 0.625466i \(0.784909\pi\)
\(338\) −4.38269e40 + 4.38269e40i −1.51034 + 1.51034i
\(339\) 2.49003e40i 0.818483i
\(340\) 3.05691e39 + 1.07413e40i 0.0958562 + 0.336818i
\(341\) −1.91917e40 −0.574173
\(342\) −1.04192e37 1.04192e37i −0.000297451 0.000297451i
\(343\) −1.88797e40 + 1.88797e40i −0.514386 + 0.514386i
\(344\) 3.99203e40i 1.03815i
\(345\) 1.67924e40 + 9.35188e39i 0.416875 + 0.232163i
\(346\) 6.20930e40 1.47172
\(347\) −3.86466e40 3.86466e40i −0.874660 0.874660i 0.118316 0.992976i \(-0.462251\pi\)
−0.992976 + 0.118316i \(0.962251\pi\)
\(348\) 4.39578e39 4.39578e39i 0.0950097 0.0950097i
\(349\) 4.48483e40i 0.925847i −0.886398 0.462923i \(-0.846800\pi\)
0.886398 0.462923i \(-0.153200\pi\)
\(350\) 1.39322e40 8.62891e39i 0.274746 0.170164i
\(351\) −1.00829e41 −1.89963
\(352\) 1.06610e40 + 1.06610e40i 0.191918 + 0.191918i
\(353\) 5.56911e40 5.56911e40i 0.958055 0.958055i −0.0410999 0.999155i \(-0.513086\pi\)
0.999155 + 0.0410999i \(0.0130862\pi\)
\(354\) 9.88118e39i 0.162464i
\(355\) −8.71299e39 + 1.56452e40i −0.136935 + 0.245882i
\(356\) −1.73948e40 −0.261348
\(357\) 2.06855e40 + 2.06855e40i 0.297149 + 0.297149i
\(358\) 7.42472e40 7.42472e40i 1.01989 1.01989i
\(359\) 1.15843e40i 0.152180i −0.997101 0.0760901i \(-0.975756\pi\)
0.997101 0.0760901i \(-0.0242437\pi\)
\(360\) −4.39863e37 + 1.25182e37i −0.000552685 + 0.000157291i
\(361\) 4.49853e39 0.0540699
\(362\) −7.96805e40 7.96805e40i −0.916251 0.916251i
\(363\) −5.22090e40 + 5.22090e40i −0.574433 + 0.574433i
\(364\) 2.33752e40i 0.246113i
\(365\) 4.73967e39 + 1.66542e40i 0.0477597 + 0.167817i
\(366\) 1.25412e41 1.20960
\(367\) 1.27160e41 + 1.27160e41i 1.17407 + 1.17407i 0.981230 + 0.192841i \(0.0617703\pi\)
0.192841 + 0.981230i \(0.438230\pi\)
\(368\) −2.15125e40 + 2.15125e40i −0.190163 + 0.190163i
\(369\) 1.55174e37i 0.000131340i
\(370\) −7.36248e40 4.10026e40i −0.596756 0.332341i
\(371\) −8.22005e40 −0.638104
\(372\) 4.14323e40 + 4.14323e40i 0.308072 + 0.308072i
\(373\) −5.10558e40 + 5.10558e40i −0.363667 + 0.363667i −0.865161 0.501494i \(-0.832784\pi\)
0.501494 + 0.865161i \(0.332784\pi\)
\(374\) 5.54001e40i 0.378063i
\(375\) −1.02981e41 + 1.13009e41i −0.673376 + 0.738943i
\(376\) 1.62128e41 1.01591
\(377\) −9.14657e40 9.14657e40i −0.549284 0.549284i
\(378\) −3.97103e40 + 3.97103e40i −0.228578 + 0.228578i
\(379\) 1.53973e41i 0.849605i −0.905286 0.424802i \(-0.860344\pi\)
0.905286 0.424802i \(-0.139656\pi\)
\(380\) −2.93923e40 + 5.27773e40i −0.155488 + 0.279196i
\(381\) −3.08122e41 −1.56287
\(382\) 2.15368e41 + 2.15368e41i 1.04753 + 1.04753i
\(383\) 1.85557e41 1.85557e41i 0.865558 0.865558i −0.126419 0.991977i \(-0.540348\pi\)
0.991977 + 0.126419i \(0.0403484\pi\)
\(384\) 5.71357e40i 0.255628i
\(385\) −3.82649e40 + 1.08899e40i −0.164221 + 0.0467362i
\(386\) 5.65362e40 0.232771
\(387\) −9.01028e37 9.01028e37i −0.000355929 0.000355929i
\(388\) 4.10635e40 4.10635e40i 0.155650 0.155650i
\(389\) 3.50497e41i 1.27494i 0.770474 + 0.637471i \(0.220020\pi\)
−0.770474 + 0.637471i \(0.779980\pi\)
\(390\) −1.21979e41 4.28608e41i −0.425845 1.49633i
\(391\) 1.51801e41 0.508683
\(392\) 2.02078e41 + 2.02078e41i 0.650044 + 0.650044i
\(393\) 2.83822e40 2.83822e40i 0.0876528 0.0876528i
\(394\) 2.74482e41i 0.813907i
\(395\) −2.73301e41 1.52205e41i −0.778193 0.433385i
\(396\) 2.74581e37 7.50839e−5
\(397\) −3.91560e40 3.91560e40i −0.102837 0.102837i 0.653816 0.756653i \(-0.273167\pi\)
−0.756653 + 0.653816i \(0.773167\pi\)
\(398\) −3.63634e41 + 3.63634e41i −0.917351 + 0.917351i
\(399\) 1.58241e41i 0.383489i
\(400\) −1.27424e41 2.05738e41i −0.296682 0.479022i
\(401\) 1.53765e41 0.343992 0.171996 0.985098i \(-0.444978\pi\)
0.171996 + 0.985098i \(0.444978\pi\)
\(402\) −3.36736e41 3.36736e41i −0.723890 0.723890i
\(403\) 8.62107e41 8.62107e41i 1.78107 1.78107i
\(404\) 5.88430e40i 0.116840i
\(405\) 2.54787e41 4.57499e41i 0.486292 0.873192i
\(406\) −7.20458e40 −0.132188
\(407\) 1.44663e41 + 1.44663e41i 0.255180 + 0.255180i
\(408\) 4.83597e41 4.83597e41i 0.820202 0.820202i
\(409\) 7.74149e39i 0.0126256i 0.999980 + 0.00631279i \(0.00200944\pi\)
−0.999980 + 0.00631279i \(0.997991\pi\)
\(410\) −1.25032e41 + 3.55833e40i −0.196101 + 0.0558090i
\(411\) −7.94881e41 −1.19904
\(412\) −2.12235e41 2.12235e41i −0.307937 0.307937i
\(413\) 3.96276e40 3.96276e40i 0.0553092 0.0553092i
\(414\) 1.53741e38i 0.000206435i
\(415\) 2.39926e41 + 8.43049e41i 0.309962 + 1.08914i
\(416\) −9.57806e41 −1.19065
\(417\) 4.54452e41 + 4.54452e41i 0.543640 + 0.543640i
\(418\) −2.11902e41 + 2.11902e41i −0.243957 + 0.243957i
\(419\) 6.04668e41i 0.670027i −0.942213 0.335014i \(-0.891259\pi\)
0.942213 0.335014i \(-0.108741\pi\)
\(420\) 1.06119e41 + 5.90989e40i 0.113189 + 0.0630363i
\(421\) 1.44307e41 0.148175 0.0740875 0.997252i \(-0.476396\pi\)
0.0740875 + 0.997252i \(0.476396\pi\)
\(422\) −4.60664e41 4.60664e41i −0.455392 0.455392i
\(423\) 3.65935e38 3.65935e38i 0.000348304 0.000348304i
\(424\) 1.92173e42i 1.76132i
\(425\) −2.76308e41 + 1.17546e42i −0.243877 + 1.03750i
\(426\) 2.71221e41 0.230553
\(427\) 5.02954e41 + 5.02954e41i 0.411796 + 0.411796i
\(428\) −6.52129e40 + 6.52129e40i −0.0514320 + 0.0514320i
\(429\) 1.08183e42i 0.821945i
\(430\) 5.19389e41 9.32622e41i 0.380187 0.682669i
\(431\) 5.52569e41 0.389717 0.194859 0.980831i \(-0.437575\pi\)
0.194859 + 0.980831i \(0.437575\pi\)
\(432\) 5.86407e41 + 5.86407e41i 0.398528 + 0.398528i
\(433\) −8.29703e40 + 8.29703e40i −0.0543396 + 0.0543396i −0.733754 0.679415i \(-0.762234\pi\)
0.679415 + 0.733754i \(0.262234\pi\)
\(434\) 6.79065e41i 0.428623i
\(435\) 6.46485e41 1.83986e41i 0.393306 0.111932i
\(436\) −7.60657e41 −0.446072
\(437\) 5.80630e41 + 5.80630e41i 0.328244 + 0.328244i
\(438\) 1.85439e41 1.85439e41i 0.101068 0.101068i
\(439\) 1.61595e42i 0.849169i −0.905388 0.424585i \(-0.860420\pi\)
0.905388 0.424585i \(-0.139580\pi\)
\(440\) 2.54591e41 + 8.94578e41i 0.129003 + 0.453289i
\(441\) 9.12209e38 0.000445735
\(442\) −2.48862e42 2.48862e42i −1.17274 1.17274i
\(443\) −6.83128e41 + 6.83128e41i −0.310486 + 0.310486i −0.845098 0.534611i \(-0.820458\pi\)
0.534611 + 0.845098i \(0.320458\pi\)
\(444\) 6.24617e41i 0.273834i
\(445\) −1.64315e42 9.15091e41i −0.694892 0.386994i
\(446\) 1.20918e42 0.493324
\(447\) −2.54025e41 2.54025e41i −0.0999899 0.0999899i
\(448\) −7.90966e41 + 7.90966e41i −0.300407 + 0.300407i
\(449\) 2.87136e42i 1.05232i −0.850386 0.526159i \(-0.823632\pi\)
0.850386 0.526159i \(-0.176368\pi\)
\(450\) −1.19048e39 2.79838e38i −0.000421039 9.89707e-5i
\(451\) 3.15588e41 0.107720
\(452\) 5.77385e41 + 5.77385e41i 0.190217 + 0.190217i
\(453\) −1.58635e42 + 1.58635e42i −0.504461 + 0.504461i
\(454\) 1.68103e42i 0.516039i
\(455\) 1.22971e42 2.20808e42i 0.364434 0.654383i
\(456\) 3.69945e42 1.05852
\(457\) −1.25651e42 1.25651e42i −0.347142 0.347142i 0.511902 0.859044i \(-0.328941\pi\)
−0.859044 + 0.511902i \(0.828941\pi\)
\(458\) −1.22475e42 + 1.22475e42i −0.326738 + 0.326738i
\(459\) 4.13793e42i 1.06606i
\(460\) 6.06229e41 1.72529e41i 0.150838 0.0429276i
\(461\) 4.94269e42 1.18781 0.593907 0.804534i \(-0.297585\pi\)
0.593907 + 0.804534i \(0.297585\pi\)
\(462\) 4.26068e41 + 4.26068e41i 0.0989026 + 0.0989026i
\(463\) −3.60441e42 + 3.60441e42i −0.808236 + 0.808236i −0.984367 0.176131i \(-0.943642\pi\)
0.176131 + 0.984367i \(0.443642\pi\)
\(464\) 1.06391e42i 0.230471i
\(465\) 1.73415e42 + 6.09342e42i 0.362944 + 1.27531i
\(466\) −9.73093e41 −0.196780
\(467\) −8.24322e41 8.24322e41i −0.161074 0.161074i 0.621968 0.783043i \(-0.286333\pi\)
−0.783043 + 0.621968i \(0.786333\pi\)
\(468\) −1.23344e39 + 1.23344e39i −0.000232908 + 0.000232908i
\(469\) 2.70090e42i 0.492882i
\(470\) 3.78766e42 + 2.10940e42i 0.668044 + 0.372042i
\(471\) 3.43699e42 0.585927
\(472\) −9.26437e41 9.26437e41i −0.152667 0.152667i
\(473\) −1.83248e42 + 1.83248e42i −0.291918 + 0.291918i
\(474\) 4.73788e42i 0.729677i
\(475\) −5.55294e42 + 3.43922e42i −0.826847 + 0.512108i
\(476\) 9.59302e41 0.138116
\(477\) 4.33747e39 + 4.33747e39i 0.000603869 + 0.000603869i
\(478\) −7.32069e42 + 7.32069e42i −0.985611 + 0.985611i
\(479\) 1.03862e41i 0.0135235i −0.999977 0.00676176i \(-0.997848\pi\)
0.999977 0.00676176i \(-0.00215235\pi\)
\(480\) 2.42159e42 4.34824e42i 0.304959 0.547588i
\(481\) −1.29968e43 −1.58313
\(482\) −1.58078e42 1.58078e42i −0.186260 0.186260i
\(483\) 1.16747e42 1.16747e42i 0.133073 0.133073i
\(484\) 2.42123e42i 0.266999i
\(485\) 6.03918e42 1.71871e42i 0.644333 0.183373i
\(486\) 8.37937e39 0.000865030
\(487\) −7.70886e40 7.70886e40i −0.00770064 0.00770064i 0.703246 0.710947i \(-0.251733\pi\)
−0.710947 + 0.703246i \(0.751733\pi\)
\(488\) 1.17584e43 1.17584e43i 1.13666 1.13666i
\(489\) 1.00774e43i 0.942768i
\(490\) 2.09180e42 + 7.35014e42i 0.189402 + 0.665516i
\(491\) 6.83855e42 0.599322 0.299661 0.954046i \(-0.403126\pi\)
0.299661 + 0.954046i \(0.403126\pi\)
\(492\) −6.81312e41 6.81312e41i −0.0577969 0.0577969i
\(493\) 3.75369e42 3.75369e42i 0.308253 0.308253i
\(494\) 1.90376e43i 1.51350i
\(495\) 2.59375e39 + 1.44449e39i 0.000199639 + 0.000111181i
\(496\) −1.00278e43 −0.747309
\(497\) 1.08771e42 + 1.08771e42i 0.0784893 + 0.0784893i
\(498\) 9.38710e42 9.38710e42i 0.655937 0.655937i
\(499\) 8.46275e42i 0.572668i −0.958130 0.286334i \(-0.907563\pi\)
0.958130 0.286334i \(-0.0924367\pi\)
\(500\) 2.32513e41 + 5.00834e42i 0.0152379 + 0.328226i
\(501\) −1.71449e43 −1.08826
\(502\) 1.57941e43 + 1.57941e43i 0.971037 + 0.971037i
\(503\) −6.53699e42 + 6.53699e42i −0.389305 + 0.389305i −0.874440 0.485134i \(-0.838771\pi\)
0.485134 + 0.874440i \(0.338771\pi\)
\(504\) 3.92840e39i 0.000226635i
\(505\) 3.09557e42 5.55844e42i 0.173013 0.310664i
\(506\) 3.12672e42 0.169309
\(507\) −3.51228e43 3.51228e43i −1.84273 1.84273i
\(508\) −7.14468e42 + 7.14468e42i −0.363215 + 0.363215i
\(509\) 2.49712e43i 1.23014i 0.788473 + 0.615069i \(0.210872\pi\)
−0.788473 + 0.615069i \(0.789128\pi\)
\(510\) 1.75897e43 5.00593e42i 0.839724 0.238980i
\(511\) 1.48738e42 0.0688155
\(512\) 1.52432e43 + 1.52432e43i 0.683529 + 0.683529i
\(513\) 1.58273e43 1.58273e43i 0.687906 0.687906i
\(514\) 9.96258e42i 0.419722i
\(515\) −8.88312e42 3.12133e43i −0.362785 1.27475i
\(516\) 7.91217e42 0.313257
\(517\) −7.44226e42 7.44226e42i −0.285664 0.285664i
\(518\) −5.11866e42 + 5.11866e42i −0.190494 + 0.190494i
\(519\) 4.97612e43i 1.79562i
\(520\) −5.16217e43 2.87488e43i −1.80626 1.00593i
\(521\) 2.71941e43 0.922721 0.461361 0.887213i \(-0.347361\pi\)
0.461361 + 0.887213i \(0.347361\pi\)
\(522\) 3.80164e39 + 3.80164e39i 0.000125096 + 0.000125096i
\(523\) 4.64160e42 4.64160e42i 0.148129 0.148129i −0.629153 0.777282i \(-0.716598\pi\)
0.777282 + 0.629153i \(0.216598\pi\)
\(524\) 1.31625e42i 0.0407414i
\(525\) 6.91519e42 + 1.11652e43i 0.207613 + 0.335211i
\(526\) −1.08874e43 −0.317067
\(527\) 3.53802e43 + 3.53802e43i 0.999518 + 0.999518i
\(528\) 6.29180e42 6.29180e42i 0.172438 0.172438i
\(529\) 2.90414e43i 0.772195i
\(530\) −2.50029e43 + 4.48956e43i −0.645026 + 1.15822i
\(531\) −4.18206e39 −0.000104683
\(532\) 3.66927e42 + 3.66927e42i 0.0891237 + 0.0891237i
\(533\) −1.41765e43 + 1.41765e43i −0.334144 + 0.334144i
\(534\) 2.84853e43i 0.651569i
\(535\) −9.59084e42 + 2.72949e42i −0.212910 + 0.0605928i
\(536\) −6.31432e43 −1.36047
\(537\) 5.95016e43 + 5.95016e43i 1.24434 + 1.24434i
\(538\) 2.08635e43 2.08635e43i 0.423517 0.423517i
\(539\) 1.85522e43i 0.365574i
\(540\) −4.70294e42 1.65251e43i −0.0899641 0.316114i
\(541\) 6.85680e43 1.27340 0.636701 0.771111i \(-0.280299\pi\)
0.636701 + 0.771111i \(0.280299\pi\)
\(542\) −8.38623e42 8.38623e42i −0.151209 0.151209i
\(543\) 6.38558e43 6.38558e43i 1.11790 1.11790i
\(544\) 3.93076e43i 0.668182i
\(545\) −7.18534e43 4.00161e43i −1.18605 0.660527i
\(546\) −3.82788e43 −0.613586
\(547\) −1.12718e43 1.12718e43i −0.175467 0.175467i 0.613909 0.789377i \(-0.289596\pi\)
−0.789377 + 0.613909i \(0.789596\pi\)
\(548\) −1.84316e43 + 1.84316e43i −0.278659 + 0.278659i
\(549\) 5.30788e40i 0.000779406i
\(550\) −5.69125e42 + 2.42116e43i −0.0811717 + 0.345319i
\(551\) 2.87152e43 0.397820
\(552\) −2.72937e43 2.72937e43i −0.367314 0.367314i
\(553\) −1.90009e43 + 1.90009e43i −0.248411 + 0.248411i
\(554\) 5.20443e43i 0.661024i
\(555\) 3.28594e43 5.90028e43i 0.405482 0.728090i
\(556\) 2.10755e43 0.252686
\(557\) −3.76653e43 3.76653e43i −0.438792 0.438792i 0.452814 0.891605i \(-0.350420\pi\)
−0.891605 + 0.452814i \(0.850420\pi\)
\(558\) −3.58322e40 + 3.58322e40i −0.000405627 + 0.000405627i
\(559\) 1.64633e44i 1.81104i
\(560\) −1.99938e43 + 5.69010e42i −0.213740 + 0.0608291i
\(561\) −4.43975e43 −0.461267
\(562\) 8.43941e43 + 8.43941e43i 0.852180 + 0.852180i
\(563\) 8.27422e43 8.27422e43i 0.812068 0.812068i −0.172876 0.984944i \(-0.555306\pi\)
0.984944 + 0.172876i \(0.0553058\pi\)
\(564\) 3.21337e43i 0.306546i
\(565\) 2.41665e43 + 8.49157e43i 0.224098 + 0.787432i
\(566\) −9.66295e43 −0.871057
\(567\) −3.18070e43 3.18070e43i −0.278736 0.278736i
\(568\) 2.54291e43 2.54291e43i 0.216649 0.216649i
\(569\) 1.64760e44i 1.36476i 0.731000 + 0.682378i \(0.239054\pi\)
−0.731000 + 0.682378i \(0.760946\pi\)
\(570\) 8.64269e43 + 4.81322e43i 0.696067 + 0.387649i
\(571\) −6.10122e43 −0.477792 −0.238896 0.971045i \(-0.576785\pi\)
−0.238896 + 0.971045i \(0.576785\pi\)
\(572\) 2.50853e43 + 2.50853e43i 0.191022 + 0.191022i
\(573\) −1.72595e44 + 1.72595e44i −1.27807 + 1.27807i
\(574\) 1.11665e43i 0.0804134i
\(575\) 6.63420e43 + 1.55945e43i 0.464626 + 0.109216i
\(576\) 8.34738e40 0.000568579
\(577\) 4.83918e43 + 4.83918e43i 0.320596 + 0.320596i 0.848996 0.528399i \(-0.177208\pi\)
−0.528399 + 0.848996i \(0.677208\pi\)
\(578\) 1.22171e43 1.22171e43i 0.0787271 0.0787271i
\(579\) 4.53080e43i 0.283999i
\(580\) 1.07244e43 1.92568e43i 0.0653919 0.117419i
\(581\) 7.52923e43 0.446614
\(582\) −6.72446e43 6.72446e43i −0.388052 0.388052i
\(583\) 8.82140e43 8.82140e43i 0.495269 0.495269i
\(584\) 3.47727e43i 0.189947i
\(585\) −1.81402e41 + 5.16258e40i −0.000964157 + 0.000274393i
\(586\) 3.04135e44 1.57291
\(587\) −1.31935e44 1.31935e44i −0.663972 0.663972i 0.292342 0.956314i \(-0.405566\pi\)
−0.956314 + 0.292342i \(0.905566\pi\)
\(588\) −4.00517e43 + 4.00517e43i −0.196148 + 0.196148i
\(589\) 2.70654e44i 1.28994i
\(590\) −9.58997e42 3.36971e43i −0.0444821 0.156300i
\(591\) −2.19970e44 −0.993031
\(592\) 7.55879e43 + 7.55879e43i 0.332128 + 0.332128i
\(593\) −2.91544e44 + 2.91544e44i −1.24689 + 1.24689i −0.289809 + 0.957084i \(0.593592\pi\)
−0.957084 + 0.289809i \(0.906408\pi\)
\(594\) 8.52309e43i 0.354825i
\(595\) 9.06179e43 + 5.04663e43i 0.367234 + 0.204517i
\(596\) −1.17806e43 −0.0464758
\(597\) −2.91416e44 2.91416e44i −1.11924 1.11924i
\(598\) −1.40455e44 + 1.40455e44i −0.525193 + 0.525193i
\(599\) 2.34634e44i 0.854203i −0.904204 0.427102i \(-0.859535\pi\)
0.904204 0.427102i \(-0.140465\pi\)
\(600\) 2.61027e44 1.61667e44i 0.925264 0.573063i
\(601\) 2.26082e44 0.780324 0.390162 0.920746i \(-0.372419\pi\)
0.390162 + 0.920746i \(0.372419\pi\)
\(602\) −6.48392e43 6.48392e43i −0.217918 0.217918i
\(603\) −1.42518e41 + 1.42518e41i −0.000466438 + 0.000466438i
\(604\) 7.35681e43i 0.234476i
\(605\) −1.27374e44 + 2.28715e44i −0.395362 + 0.709918i
\(606\) −9.63599e43 −0.291296
\(607\) −2.69846e44 2.69846e44i −0.794505 0.794505i 0.187718 0.982223i \(-0.439891\pi\)
−0.982223 + 0.187718i \(0.939891\pi\)
\(608\) 1.50349e44 1.50349e44i 0.431165 0.431165i
\(609\) 5.77373e43i 0.161280i
\(610\) 4.27684e44 1.21716e44i 1.16371 0.331185i
\(611\) 6.68626e44 1.77225
\(612\) −5.06195e40 5.06195e40i −0.000130706 0.000130706i
\(613\) 3.04960e43 3.04960e43i 0.0767142 0.0767142i −0.667709 0.744423i \(-0.732725\pi\)
0.744423 + 0.667709i \(0.232725\pi\)
\(614\) 4.39827e44i 1.07792i
\(615\) −2.85164e43 1.00200e44i −0.0680914 0.239258i
\(616\) 7.98944e43 0.185877
\(617\) 2.96717e44 + 2.96717e44i 0.672636 + 0.672636i 0.958323 0.285687i \(-0.0922217\pi\)
−0.285687 + 0.958323i \(0.592222\pi\)
\(618\) −3.47551e44 + 3.47551e44i −0.767721 + 0.767721i
\(619\) 7.00694e44i 1.50827i −0.656722 0.754133i \(-0.728058\pi\)
0.656722 0.754133i \(-0.271942\pi\)
\(620\) 1.81505e44 + 1.01082e44i 0.380733 + 0.212035i
\(621\) −2.33540e44 −0.477415
\(622\) −9.14779e43 9.14779e43i −0.182251 0.182251i
\(623\) −1.14238e44 + 1.14238e44i −0.221820 + 0.221820i
\(624\) 5.65267e44i 1.06979i
\(625\) −2.41511e44 + 4.85331e44i −0.445509 + 0.895277i
\(626\) −7.36022e44 −1.32343
\(627\) −1.69818e44 1.69818e44i −0.297647 0.297647i
\(628\) 7.96963e43 7.96963e43i 0.136171 0.136171i
\(629\) 5.33379e44i 0.888435i
\(630\) −5.11110e40 + 9.17756e40i −8.29976e−5 + 0.000149032i
\(631\) −1.87514e44 −0.296868 −0.148434 0.988922i \(-0.547423\pi\)
−0.148434 + 0.988922i \(0.547423\pi\)
\(632\) 4.44213e44 + 4.44213e44i 0.685674 + 0.685674i
\(633\) 3.69175e44 3.69175e44i 0.555614 0.555614i
\(634\) 9.86432e43i 0.144757i
\(635\) −1.05076e45 + 2.99041e44i −1.50358 + 0.427909i
\(636\) −3.80885e44 −0.531472
\(637\) 8.33382e44 + 8.33382e44i 1.13400 + 1.13400i
\(638\) 7.73164e43 7.73164e43i 0.102598 0.102598i
\(639\) 1.14790e41i 0.000148556i
\(640\) 5.54518e43 + 1.94846e44i 0.0699901 + 0.245930i
\(641\) 4.10301e44 0.505096 0.252548 0.967584i \(-0.418731\pi\)
0.252548 + 0.967584i \(0.418731\pi\)
\(642\) 1.06791e44 + 1.06791e44i 0.128226 + 0.128226i
\(643\) −1.54009e44 + 1.54009e44i −0.180373 + 0.180373i −0.791518 0.611146i \(-0.790709\pi\)
0.611146 + 0.791518i \(0.290709\pi\)
\(644\) 5.41420e43i 0.0618530i
\(645\) 7.47401e44 + 4.16237e44i 0.832911 + 0.463858i
\(646\) 7.81290e44 0.849361
\(647\) −2.43956e44 2.43956e44i −0.258727 0.258727i 0.565809 0.824536i \(-0.308564\pi\)
−0.824536 + 0.565809i \(0.808564\pi\)
\(648\) −7.43602e44 + 7.43602e44i −0.769379 + 0.769379i
\(649\) 8.50533e43i 0.0858571i
\(650\) −8.31952e44 1.34326e45i −0.819378 1.32296i
\(651\) 5.44201e44 0.522954
\(652\) 2.33672e44 + 2.33672e44i 0.219102 + 0.219102i
\(653\) 9.56793e43 9.56793e43i 0.0875401 0.0875401i −0.661981 0.749521i \(-0.730284\pi\)
0.749521 + 0.661981i \(0.230284\pi\)
\(654\) 1.24563e45i 1.11211i
\(655\) 6.92440e43 1.24336e44i 0.0603284 0.108326i
\(656\) 1.64898e44 0.140202
\(657\) −7.84844e40 7.84844e40i −6.51234e−5 6.51234e-5i
\(658\) 2.63332e44 2.63332e44i 0.213250 0.213250i
\(659\) 9.18988e44i 0.726346i 0.931722 + 0.363173i \(0.118307\pi\)
−0.931722 + 0.363173i \(0.881693\pi\)
\(660\) −1.77304e44 + 5.04597e43i −0.136778 + 0.0389262i
\(661\) −1.01864e45 −0.767005 −0.383503 0.923540i \(-0.625282\pi\)
−0.383503 + 0.923540i \(0.625282\pi\)
\(662\) −9.90696e44 9.90696e44i −0.728136 0.728136i
\(663\) 1.99438e45 1.99438e45i 1.43084 1.43084i
\(664\) 1.76023e45i 1.23276i
\(665\) 1.53577e44 + 5.39638e44i 0.104998 + 0.368940i
\(666\) 5.40193e41 0.000360547
\(667\) −2.11854e44 2.11854e44i −0.138046 0.138046i
\(668\) −3.97554e44 + 3.97554e44i −0.252914 + 0.252914i
\(669\) 9.69032e44i 0.601894i
\(670\) −1.47516e45 8.21533e44i −0.894625 0.498228i
\(671\) −1.07950e45 −0.639237
\(672\) −3.02305e44 3.02305e44i −0.174798 0.174798i
\(673\) 8.87557e44 8.87557e44i 0.501136 0.501136i −0.410655 0.911791i \(-0.634700\pi\)
0.911791 + 0.410655i \(0.134700\pi\)
\(674\) 3.25312e44i 0.179366i
\(675\) 4.25089e44 1.80841e45i 0.228886 0.973724i
\(676\) −1.62884e45 −0.856510
\(677\) 8.12647e44 + 8.12647e44i 0.417334 + 0.417334i 0.884284 0.466950i \(-0.154647\pi\)
−0.466950 + 0.884284i \(0.654647\pi\)
\(678\) 9.45512e44 9.45512e44i 0.474233 0.474233i
\(679\) 5.39357e44i 0.264216i
\(680\) 1.17983e45 2.11852e45i 0.564516 1.01365i
\(681\) 1.34718e45 0.629608
\(682\) 7.28743e44 + 7.28743e44i 0.332678 + 0.332678i
\(683\) 8.59093e44 8.59093e44i 0.383097 0.383097i −0.489120 0.872217i \(-0.662682\pi\)
0.872217 + 0.489120i \(0.162682\pi\)
\(684\) 3.87233e41i 0.000168684i
\(685\) −2.71072e45 + 7.71455e44i −1.15355 + 0.328293i
\(686\) 1.43380e45 0.596076
\(687\) −9.81511e44 9.81511e44i −0.398646 0.398646i
\(688\) −9.57488e44 + 9.57488e44i −0.379943 + 0.379943i
\(689\) 7.92531e45i 3.07262i
\(690\) −2.82529e44 9.92746e44i −0.107023 0.376056i
\(691\) 1.46043e44 0.0540547 0.0270273 0.999635i \(-0.491396\pi\)
0.0270273 + 0.999635i \(0.491396\pi\)
\(692\) 1.15386e45 + 1.15386e45i 0.417305 + 0.417305i
\(693\) 1.80327e41 1.80327e41i 6.37278e−5 6.37278e-5i
\(694\) 2.93497e45i 1.01357i
\(695\) 1.99084e45 + 1.10872e45i 0.671862 + 0.374168i
\(696\) −1.34982e45 −0.445171
\(697\) −5.81793e44 5.81793e44i −0.187518 0.187518i
\(698\) −1.70297e45 + 1.70297e45i −0.536440 + 0.536440i
\(699\) 7.79835e44i 0.240087i
\(700\) 4.19246e44 + 9.85492e43i 0.126154 + 0.0296541i
\(701\) −2.54008e45 −0.747066 −0.373533 0.927617i \(-0.621854\pi\)
−0.373533 + 0.927617i \(0.621854\pi\)
\(702\) 3.82865e45 + 3.82865e45i 1.10066 + 1.10066i
\(703\) 2.04014e45 2.04014e45i 0.573291 0.573291i
\(704\) 1.69766e45i 0.466325i
\(705\) −1.69047e45 + 3.03542e45i −0.453921 + 0.815067i
\(706\) −4.22939e45 −1.11020
\(707\) −3.86443e44 3.86443e44i −0.0991687 0.0991687i
\(708\) 1.83619e44 1.83619e44i 0.0460665 0.0460665i
\(709\) 4.32665e45i 1.06124i −0.847611 0.530618i \(-0.821960\pi\)
0.847611 0.530618i \(-0.178040\pi\)
\(710\) 9.24925e44 2.63228e44i 0.221806 0.0631245i
\(711\) 2.00524e42 0.000470167
\(712\) 2.67072e45 + 2.67072e45i 0.612277 + 0.612277i
\(713\) 1.99682e45 1.99682e45i 0.447618 0.447618i
\(714\) 1.57093e45i 0.344339i
\(715\) 1.04995e45 + 3.68929e45i 0.225046 + 0.790762i
\(716\) 2.75943e45 0.578376
\(717\) −5.86679e45 5.86679e45i −1.20252 1.20252i
\(718\) −4.39877e44 + 4.39877e44i −0.0881740 + 0.0881740i
\(719\) 6.87903e45i 1.34854i −0.738483 0.674272i \(-0.764458\pi\)
0.738483 0.674272i \(-0.235542\pi\)
\(720\) 1.35526e42 + 7.54762e41i 0.000259838 + 0.000144707i
\(721\) −2.78765e45 −0.522726
\(722\) −1.70818e44 1.70818e44i −0.0313283 0.0313283i
\(723\) 1.26684e45 1.26684e45i 0.227252 0.227252i
\(724\) 2.96135e45i 0.519605i
\(725\) 2.02610e45 1.25486e45i 0.347738 0.215372i
\(726\) 3.96495e45 0.665658
\(727\) −5.53466e45 5.53466e45i −0.908951 0.908951i 0.0872369 0.996188i \(-0.472196\pi\)
−0.996188 + 0.0872369i \(0.972196\pi\)
\(728\) −3.58893e45 + 3.58893e45i −0.576584 + 0.576584i
\(729\) 6.36604e45i 1.00053i
\(730\) 4.52415e44 8.12364e44i 0.0695619 0.124906i
\(731\) 6.75643e45 1.01634
\(732\) 2.33050e45 + 2.33050e45i 0.342982 + 0.342982i
\(733\) −6.73077e45 + 6.73077e45i −0.969173 + 0.969173i −0.999539 0.0303658i \(-0.990333\pi\)
0.0303658 + 0.999539i \(0.490333\pi\)
\(734\) 9.65703e45i 1.36053i
\(735\) −5.89039e45 + 1.67637e45i −0.811982 + 0.231085i
\(736\) −2.21848e45 −0.299234
\(737\) 2.89849e45 + 2.89849e45i 0.382553 + 0.382553i
\(738\) 5.89225e41 5.89225e41i 7.60991e−5 7.60991e-5i
\(739\) 4.32206e45i 0.546236i 0.961981 + 0.273118i \(0.0880549\pi\)
−0.961981 + 0.273118i \(0.911945\pi\)
\(740\) −6.06209e44 2.13009e45i −0.0749747 0.263445i
\(741\) 1.52567e46 1.84659
\(742\) 3.12131e45 + 3.12131e45i 0.369721 + 0.369721i
\(743\) 3.77652e45 3.77652e45i 0.437796 0.437796i −0.453474 0.891270i \(-0.649815\pi\)
0.891270 + 0.453474i \(0.149815\pi\)
\(744\) 1.27226e46i 1.44348i
\(745\) −1.11282e45 6.19744e44i −0.123573 0.0688195i
\(746\) 3.87737e45 0.421421
\(747\) −3.97295e42 3.97295e42i −0.000422653 0.000422653i
\(748\) −1.02948e45 + 1.02948e45i −0.107200 + 0.107200i
\(749\) 8.56554e44i 0.0873063i
\(750\) 8.20154e45 3.80757e44i 0.818305 0.0379899i
\(751\) −1.22236e46 −1.19388 −0.596939 0.802286i \(-0.703617\pi\)
−0.596939 + 0.802286i \(0.703617\pi\)
\(752\) −3.88865e45 3.88865e45i −0.371804 0.371804i
\(753\) −1.26574e46 + 1.26574e46i