Properties

Label 4.33.b.b.3.12
Level $4$
Weight $33$
Character 4.3
Analytic conductor $25.947$
Analytic rank $0$
Dimension $14$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 3.12
Root \(5.00408e6i\) of defining polynomial
Character \(\chi\) \(=\) 4.3
Dual form 4.33.b.b.3.11

$q$-expansion

\(f(q)\) \(=\) \(q+(46092.7 + 46587.9i) q^{2} +8.00653e7i q^{3} +(-4.59006e7 + 4.29472e9i) q^{4} -3.25403e10 q^{5} +(-3.73007e12 + 3.69042e12i) q^{6} -4.74477e13i q^{7} +(-2.02198e14 + 1.95817e14i) q^{8} -4.55743e15 q^{9} +O(q^{10})\) \(q+(46092.7 + 46587.9i) q^{2} +8.00653e7i q^{3} +(-4.59006e7 + 4.29472e9i) q^{4} -3.25403e10 q^{5} +(-3.73007e12 + 3.69042e12i) q^{6} -4.74477e13i q^{7} +(-2.02198e14 + 1.95817e14i) q^{8} -4.55743e15 q^{9} +(-1.49987e15 - 1.51599e15i) q^{10} -1.35259e16i q^{11} +(-3.43858e17 - 3.67504e15i) q^{12} +9.45442e16 q^{13} +(2.21049e18 - 2.18699e18i) q^{14} -2.60535e18i q^{15} +(-1.84425e19 - 3.94261e17i) q^{16} +6.35019e18 q^{17} +(-2.10064e20 - 2.12321e20i) q^{18} +4.93031e20i q^{19} +(1.49362e18 - 1.39752e20i) q^{20} +3.79891e21 q^{21} +(6.30141e20 - 6.23443e20i) q^{22} +4.92552e21i q^{23} +(-1.56781e22 - 1.61890e22i) q^{24} -2.22242e22 q^{25} +(4.35779e21 + 4.40461e21i) q^{26} -2.16529e23i q^{27} +(2.03775e23 + 2.17788e21i) q^{28} -2.04879e23 q^{29} +(1.21378e23 - 1.20087e23i) q^{30} -8.15726e23i q^{31} +(-8.31698e23 - 8.77372e23i) q^{32} +1.08295e24 q^{33} +(2.92697e23 + 2.95842e23i) q^{34} +1.54396e24i q^{35} +(2.09189e23 - 1.95729e25i) q^{36} +8.64253e24 q^{37} +(-2.29693e25 + 2.27251e25i) q^{38} +7.56970e24i q^{39} +(6.57958e24 - 6.37194e24i) q^{40} -9.37253e25 q^{41} +(1.75102e26 + 1.76983e26i) q^{42} +9.13599e25i q^{43} +(5.80898e25 + 6.20845e23i) q^{44} +1.48300e26 q^{45} +(-2.29470e26 + 2.27030e26i) q^{46} +4.69294e26i q^{47} +(3.15666e25 - 1.47661e27i) q^{48} -1.14686e27 q^{49} +(-1.02437e27 - 1.03538e27i) q^{50} +5.08430e26i q^{51} +(-4.33963e24 + 4.06041e26i) q^{52} +3.40698e27 q^{53} +(1.00876e28 - 9.98040e27i) q^{54} +4.40135e26i q^{55} +(9.29106e27 + 9.59382e27i) q^{56} -3.94747e28 q^{57} +(-9.44342e27 - 9.54489e27i) q^{58} -2.87556e27i q^{59} +(1.11892e28 + 1.19587e26i) q^{60} +7.72100e27 q^{61} +(3.80030e28 - 3.75990e28i) q^{62} +2.16239e29i q^{63} +(2.53976e27 - 7.91874e28i) q^{64} -3.07650e27 q^{65} +(4.99161e28 + 5.04524e28i) q^{66} +8.28696e28i q^{67} +(-2.91478e26 + 2.72723e28i) q^{68} -3.94363e29 q^{69} +(-7.19300e28 + 7.11654e28i) q^{70} -2.37111e29i q^{71} +(9.21502e29 - 8.92420e29i) q^{72} -4.61844e27 q^{73} +(3.98357e29 + 4.02637e29i) q^{74} -1.77939e30i q^{75} +(-2.11743e30 - 2.26304e28i) q^{76} -6.41771e29 q^{77} +(-3.52657e29 + 3.48908e29i) q^{78} +3.06260e30i q^{79} +(6.00126e29 + 1.28294e28i) q^{80} +8.89145e30 q^{81} +(-4.32005e30 - 4.36647e30i) q^{82} -3.67153e29i q^{83} +(-1.74372e29 + 1.63153e31i) q^{84} -2.06637e29 q^{85} +(-4.25627e30 + 4.21102e30i) q^{86} -1.64037e31i q^{87} +(2.64859e30 + 2.73490e30i) q^{88} -2.12166e31 q^{89} +(6.83554e30 + 6.90899e30i) q^{90} -4.48590e30i q^{91} +(-2.11537e31 - 2.26084e29i) q^{92} +6.53113e31 q^{93} +(-2.18634e31 + 2.16310e31i) q^{94} -1.60434e31i q^{95} +(7.02470e31 - 6.65901e31i) q^{96} +2.45829e30 q^{97} +(-5.28617e31 - 5.34297e31i) q^{98} +6.16431e31i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 14q - 23780q^{2} - 2922848368q^{4} + 138121491740q^{5} + 1262734959552q^{6} - 191366550113600q^{8} - 11183509932817650q^{9} + O(q^{10}) \) \( 14q - 23780q^{2} - 2922848368q^{4} + 138121491740q^{5} + 1262734959552q^{6} - 191366550113600q^{8} - 11183509932817650q^{9} + 31775605694457400q^{10} - 356375853407619840q^{12} - 1640418469677858020q^{13} + 7731597686180285568q^{14} - 30570843123186593536q^{16} + 31570967905797256220q^{17} - \)\(35\!\cdots\!40\)\(q^{18} + \)\(20\!\cdots\!60\)\(q^{20} - \)\(21\!\cdots\!16\)\(q^{21} + \)\(54\!\cdots\!80\)\(q^{22} - \)\(25\!\cdots\!32\)\(q^{24} + \)\(10\!\cdots\!50\)\(q^{25} - \)\(10\!\cdots\!24\)\(q^{26} + \)\(28\!\cdots\!20\)\(q^{28} - \)\(38\!\cdots\!16\)\(q^{29} - \)\(58\!\cdots\!20\)\(q^{30} - \)\(30\!\cdots\!00\)\(q^{32} + \)\(30\!\cdots\!00\)\(q^{33} + \)\(29\!\cdots\!16\)\(q^{34} + \)\(40\!\cdots\!96\)\(q^{36} - \)\(10\!\cdots\!40\)\(q^{37} - \)\(23\!\cdots\!60\)\(q^{38} + \)\(46\!\cdots\!00\)\(q^{40} + \)\(36\!\cdots\!48\)\(q^{41} + \)\(11\!\cdots\!00\)\(q^{42} - \)\(34\!\cdots\!40\)\(q^{44} + \)\(80\!\cdots\!80\)\(q^{45} - \)\(29\!\cdots\!48\)\(q^{46} + \)\(22\!\cdots\!60\)\(q^{48} - \)\(48\!\cdots\!90\)\(q^{49} - \)\(51\!\cdots\!00\)\(q^{50} - \)\(96\!\cdots\!20\)\(q^{52} + \)\(18\!\cdots\!80\)\(q^{53} + \)\(56\!\cdots\!36\)\(q^{54} + \)\(63\!\cdots\!52\)\(q^{56} - \)\(45\!\cdots\!40\)\(q^{57} - \)\(38\!\cdots\!60\)\(q^{58} + \)\(47\!\cdots\!00\)\(q^{60} + \)\(10\!\cdots\!08\)\(q^{61} + \)\(21\!\cdots\!00\)\(q^{62} - \)\(19\!\cdots\!88\)\(q^{64} + \)\(11\!\cdots\!00\)\(q^{65} + \)\(12\!\cdots\!60\)\(q^{66} + \)\(35\!\cdots\!00\)\(q^{68} - \)\(51\!\cdots\!84\)\(q^{69} - \)\(51\!\cdots\!80\)\(q^{70} + \)\(11\!\cdots\!60\)\(q^{72} + \)\(14\!\cdots\!60\)\(q^{73} - \)\(98\!\cdots\!84\)\(q^{74} - \)\(78\!\cdots\!00\)\(q^{76} - \)\(30\!\cdots\!40\)\(q^{77} + \)\(87\!\cdots\!00\)\(q^{78} + \)\(62\!\cdots\!40\)\(q^{80} - \)\(42\!\cdots\!22\)\(q^{81} - \)\(45\!\cdots\!80\)\(q^{82} + \)\(18\!\cdots\!96\)\(q^{84} + \)\(67\!\cdots\!00\)\(q^{85} - \)\(23\!\cdots\!48\)\(q^{86} + \)\(11\!\cdots\!80\)\(q^{88} - \)\(18\!\cdots\!76\)\(q^{89} - \)\(25\!\cdots\!00\)\(q^{90} + \)\(60\!\cdots\!00\)\(q^{92} + \)\(43\!\cdots\!40\)\(q^{93} - \)\(13\!\cdots\!12\)\(q^{94} + \)\(34\!\cdots\!32\)\(q^{96} - \)\(20\!\cdots\!20\)\(q^{97} - \)\(46\!\cdots\!00\)\(q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/4\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 46092.7 + 46587.9i 0.703318 + 0.710875i
\(3\) 8.00653e7i 1.85996i 0.367608 + 0.929981i \(0.380177\pi\)
−0.367608 + 0.929981i \(0.619823\pi\)
\(4\) −4.59006e7 + 4.29472e9i −0.0106871 + 0.999943i
\(5\) −3.25403e10 −0.213256 −0.106628 0.994299i \(-0.534005\pi\)
−0.106628 + 0.994299i \(0.534005\pi\)
\(6\) −3.73007e12 + 3.69042e12i −1.32220 + 1.30815i
\(7\) 4.74477e13i 1.42773i −0.700283 0.713866i \(-0.746943\pi\)
0.700283 0.713866i \(-0.253057\pi\)
\(8\) −2.02198e14 + 1.95817e14i −0.718351 + 0.695681i
\(9\) −4.55743e15 −2.45946
\(10\) −1.49987e15 1.51599e15i −0.149987 0.151599i
\(11\) 1.35259e16i 0.294362i −0.989110 0.147181i \(-0.952980\pi\)
0.989110 0.147181i \(-0.0470200\pi\)
\(12\) −3.43858e17 3.67504e15i −1.85986 0.0198775i
\(13\) 9.45442e16 0.142083 0.0710413 0.997473i \(-0.477368\pi\)
0.0710413 + 0.997473i \(0.477368\pi\)
\(14\) 2.21049e18 2.18699e18i 1.01494 1.00415i
\(15\) 2.60535e18i 0.396648i
\(16\) −1.84425e19 3.94261e17i −0.999772 0.0213729i
\(17\) 6.35019e18 0.130498 0.0652491 0.997869i \(-0.479216\pi\)
0.0652491 + 0.997869i \(0.479216\pi\)
\(18\) −2.10064e20 2.12321e20i −1.72978 1.74837i
\(19\) 4.93031e20i 1.70929i 0.519210 + 0.854647i \(0.326226\pi\)
−0.519210 + 0.854647i \(0.673774\pi\)
\(20\) 1.49362e18 1.39752e20i 0.00227908 0.213244i
\(21\) 3.79891e21 2.65553
\(22\) 6.30141e20 6.23443e20i 0.209255 0.207030i
\(23\) 4.92552e21i 0.803168i 0.915822 + 0.401584i \(0.131540\pi\)
−0.915822 + 0.401584i \(0.868460\pi\)
\(24\) −1.56781e22 1.61890e22i −1.29394 1.33611i
\(25\) −2.22242e22 −0.954522
\(26\) 4.35779e21 + 4.40461e21i 0.0999293 + 0.101003i
\(27\) 2.16529e23i 2.71454i
\(28\) 2.03775e23 + 2.17788e21i 1.42765 + 0.0152583i
\(29\) −2.04879e23 −0.818709 −0.409355 0.912375i \(-0.634246\pi\)
−0.409355 + 0.912375i \(0.634246\pi\)
\(30\) 1.21378e23 1.20087e23i 0.281967 0.278970i
\(31\) 8.15726e23i 1.12139i −0.828022 0.560696i \(-0.810534\pi\)
0.828022 0.560696i \(-0.189466\pi\)
\(32\) −8.31698e23 8.77372e23i −0.687964 0.725745i
\(33\) 1.08295e24 0.547502
\(34\) 2.92697e23 + 2.95842e23i 0.0917817 + 0.0927679i
\(35\) 1.54396e24i 0.304473i
\(36\) 2.09189e23 1.95729e25i 0.0262844 2.45932i
\(37\) 8.64253e24 0.700508 0.350254 0.936655i \(-0.386095\pi\)
0.350254 + 0.936655i \(0.386095\pi\)
\(38\) −2.29693e25 + 2.27251e25i −1.21509 + 1.20218i
\(39\) 7.56970e24i 0.264268i
\(40\) 6.57958e24 6.37194e24i 0.153193 0.148358i
\(41\) −9.37253e25 −1.46999 −0.734996 0.678071i \(-0.762816\pi\)
−0.734996 + 0.678071i \(0.762816\pi\)
\(42\) 1.75102e26 + 1.76983e26i 1.86768 + 1.88775i
\(43\) 9.13599e25i 0.668744i 0.942441 + 0.334372i \(0.108524\pi\)
−0.942441 + 0.334372i \(0.891476\pi\)
\(44\) 5.80898e25 + 6.20845e23i 0.294345 + 0.00314587i
\(45\) 1.48300e26 0.524495
\(46\) −2.29470e26 + 2.27030e26i −0.570952 + 0.564883i
\(47\) 4.69294e26i 0.827712i 0.910342 + 0.413856i \(0.135818\pi\)
−0.910342 + 0.413856i \(0.864182\pi\)
\(48\) 3.15666e25 1.47661e27i 0.0397528 1.85954i
\(49\) −1.14686e27 −1.03842
\(50\) −1.02437e27 1.03538e27i −0.671333 0.678546i
\(51\) 5.08430e26i 0.242722i
\(52\) −4.33963e24 + 4.06041e26i −0.00151845 + 0.142075i
\(53\) 3.40698e27 0.878932 0.439466 0.898259i \(-0.355168\pi\)
0.439466 + 0.898259i \(0.355168\pi\)
\(54\) 1.00876e28 9.98040e27i 1.92970 1.90918i
\(55\) 4.40135e26i 0.0627745i
\(56\) 9.29106e27 + 9.59382e27i 0.993246 + 1.02561i
\(57\) −3.94747e28 −3.17922
\(58\) −9.44342e27 9.54489e27i −0.575813 0.582000i
\(59\) 2.87556e27i 0.133380i −0.997774 0.0666898i \(-0.978756\pi\)
0.997774 0.0666898i \(-0.0212438\pi\)
\(60\) 1.11892e28 + 1.19587e26i 0.396626 + 0.00423901i
\(61\) 7.72100e27 0.210086 0.105043 0.994468i \(-0.466502\pi\)
0.105043 + 0.994468i \(0.466502\pi\)
\(62\) 3.80030e28 3.75990e28i 0.797169 0.788695i
\(63\) 2.16239e29i 3.51145i
\(64\) 2.53976e27 7.91874e28i 0.0320563 0.999486i
\(65\) −3.07650e27 −0.0303000
\(66\) 4.99161e28 + 5.04524e28i 0.385068 + 0.389206i
\(67\) 8.28696e28i 0.502572i 0.967913 + 0.251286i \(0.0808534\pi\)
−0.967913 + 0.251286i \(0.919147\pi\)
\(68\) −2.91478e26 + 2.72723e28i −0.00139464 + 0.130491i
\(69\) −3.94363e29 −1.49386
\(70\) −7.19300e28 + 7.11654e28i −0.216442 + 0.214141i
\(71\) 2.37111e29i 0.568615i −0.958733 0.284307i \(-0.908236\pi\)
0.958733 0.284307i \(-0.0917637\pi\)
\(72\) 9.21502e29 8.92420e29i 1.76675 1.71100i
\(73\) −4.61844e27 −0.00710117 −0.00355058 0.999994i \(-0.501130\pi\)
−0.00355058 + 0.999994i \(0.501130\pi\)
\(74\) 3.98357e29 + 4.02637e29i 0.492680 + 0.497974i
\(75\) 1.77939e30i 1.77537i
\(76\) −2.11743e30 2.26304e28i −1.70920 0.0182673i
\(77\) −6.41771e29 −0.420270
\(78\) −3.52657e29 + 3.48908e29i −0.187862 + 0.185865i
\(79\) 3.06260e30i 1.33063i 0.746563 + 0.665315i \(0.231703\pi\)
−0.746563 + 0.665315i \(0.768297\pi\)
\(80\) 6.00126e29 + 1.28294e28i 0.213207 + 0.00455791i
\(81\) 8.89145e30 2.58948
\(82\) −4.32005e30 4.36647e30i −1.03387 1.04498i
\(83\) 3.67153e29i 0.0723764i −0.999345 0.0361882i \(-0.988478\pi\)
0.999345 0.0361882i \(-0.0115216\pi\)
\(84\) −1.74372e29 + 1.63153e31i −0.0283798 + 2.65537i
\(85\) −2.06637e29 −0.0278295
\(86\) −4.25627e30 + 4.21102e30i −0.475394 + 0.470340i
\(87\) 1.64037e31i 1.52277i
\(88\) 2.64859e30 + 2.73490e30i 0.204782 + 0.211455i
\(89\) −2.12166e31 −1.36910 −0.684550 0.728966i \(-0.740001\pi\)
−0.684550 + 0.728966i \(0.740001\pi\)
\(90\) 6.83554e30 + 6.90899e30i 0.368887 + 0.372850i
\(91\) 4.48590e30i 0.202856i
\(92\) −2.11537e31 2.26084e29i −0.803122 0.00858351i
\(93\) 6.53113e31 2.08574
\(94\) −2.18634e31 + 2.16310e31i −0.588400 + 0.582145i
\(95\) 1.60434e31i 0.364517i
\(96\) 7.02470e31 6.65901e31i 1.34986 1.27959i
\(97\) 2.45829e30 0.0400208 0.0200104 0.999800i \(-0.493630\pi\)
0.0200104 + 0.999800i \(0.493630\pi\)
\(98\) −5.28617e31 5.34297e31i −0.730338 0.738185i
\(99\) 6.16431e31i 0.723971i
\(100\) 1.02010e30 9.54467e31i 0.0102010 0.954467i
\(101\) −1.51581e32 −1.29271 −0.646356 0.763036i \(-0.723708\pi\)
−0.646356 + 0.763036i \(0.723708\pi\)
\(102\) −2.36867e31 + 2.34349e31i −0.172545 + 0.170710i
\(103\) 2.50065e30i 0.0155833i 0.999970 + 0.00779163i \(0.00248018\pi\)
−0.999970 + 0.00779163i \(0.997520\pi\)
\(104\) −1.91166e31 + 1.85133e31i −0.102065 + 0.0988442i
\(105\) −1.23618e32 −0.566307
\(106\) 1.57037e32 + 1.58724e32i 0.618169 + 0.624811i
\(107\) 2.37982e32i 0.806129i 0.915172 + 0.403064i \(0.132055\pi\)
−0.915172 + 0.403064i \(0.867945\pi\)
\(108\) 9.29932e32 + 9.93881e30i 2.71438 + 0.0290104i
\(109\) −3.79577e32 −0.956040 −0.478020 0.878349i \(-0.658645\pi\)
−0.478020 + 0.878349i \(0.658645\pi\)
\(110\) −2.05050e31 + 2.02870e31i −0.0446248 + 0.0441505i
\(111\) 6.91966e32i 1.30292i
\(112\) −1.87068e31 + 8.75056e32i −0.0305148 + 1.42741i
\(113\) 5.36449e32 0.759055 0.379527 0.925181i \(-0.376087\pi\)
0.379527 + 0.925181i \(0.376087\pi\)
\(114\) −1.81949e33 1.83904e33i −2.23600 2.26003i
\(115\) 1.60278e32i 0.171281i
\(116\) 9.40407e30 8.79899e32i 0.00874960 0.818662i
\(117\) −4.30878e32 −0.349446
\(118\) 1.33966e32 1.32542e32i 0.0948163 0.0938084i
\(119\) 3.01302e32i 0.186316i
\(120\) 5.10171e32 + 5.26796e32i 0.275941 + 0.284933i
\(121\) 1.92843e33 0.913351
\(122\) 3.55882e32 + 3.59705e32i 0.147757 + 0.149345i
\(123\) 7.50414e33i 2.73413i
\(124\) 3.50332e33 + 3.74423e31i 1.12133 + 0.0119844i
\(125\) 1.48082e33 0.416814
\(126\) −1.00741e34 + 9.96705e33i −2.49620 + 2.46966i
\(127\) 4.53645e33i 0.990505i 0.868749 + 0.495252i \(0.164924\pi\)
−0.868749 + 0.495252i \(0.835076\pi\)
\(128\) 3.80624e33 3.53164e33i 0.733056 0.680169i
\(129\) −7.31475e33 −1.24384
\(130\) −1.41804e32 1.43328e32i −0.0213105 0.0215395i
\(131\) 3.62488e33i 0.481896i −0.970538 0.240948i \(-0.922542\pi\)
0.970538 0.240948i \(-0.0774583\pi\)
\(132\) −4.97081e31 + 4.65097e33i −0.00585119 + 0.547471i
\(133\) 2.33932e34 2.44041
\(134\) −3.86072e33 + 3.81968e33i −0.357266 + 0.353468i
\(135\) 7.04592e33i 0.578892i
\(136\) −1.28400e33 + 1.24347e33i −0.0937435 + 0.0907851i
\(137\) −1.09766e33 −0.0712753 −0.0356376 0.999365i \(-0.511346\pi\)
−0.0356376 + 0.999365i \(0.511346\pi\)
\(138\) −1.81772e34 1.83725e34i −1.05066 1.06195i
\(139\) 1.65733e34i 0.853439i 0.904384 + 0.426719i \(0.140331\pi\)
−0.904384 + 0.426719i \(0.859669\pi\)
\(140\) −6.63089e33 7.08688e31i −0.304455 0.00325392i
\(141\) −3.75741e34 −1.53951
\(142\) 1.10465e34 1.09291e34i 0.404214 0.399917i
\(143\) 1.27879e33i 0.0418237i
\(144\) 8.40505e34 + 1.79681e33i 2.45890 + 0.0525658i
\(145\) 6.66683e33 0.174595
\(146\) −2.12876e32 2.15164e32i −0.00499438 0.00504804i
\(147\) 9.18234e34i 1.93142i
\(148\) −3.96697e32 + 3.71172e34i −0.00748638 + 0.700468i
\(149\) −6.72732e34 −1.13989 −0.569944 0.821684i \(-0.693035\pi\)
−0.569944 + 0.821684i \(0.693035\pi\)
\(150\) 8.28979e34 8.20166e34i 1.26207 1.24865i
\(151\) 1.31684e35i 1.80262i 0.433178 + 0.901308i \(0.357392\pi\)
−0.433178 + 0.901308i \(0.642608\pi\)
\(152\) −9.65437e34 9.96898e34i −1.18912 1.22787i
\(153\) −2.89405e34 −0.320955
\(154\) −2.95809e34 2.98988e34i −0.295583 0.298759i
\(155\) 2.65440e34i 0.239144i
\(156\) −3.25098e34 3.47454e32i −0.264253 0.00282425i
\(157\) 6.25240e34 0.458831 0.229415 0.973329i \(-0.426319\pi\)
0.229415 + 0.973329i \(0.426319\pi\)
\(158\) −1.42680e35 + 1.41164e35i −0.945912 + 0.935856i
\(159\) 2.72781e35i 1.63478i
\(160\) 2.70637e34 + 2.85499e34i 0.146713 + 0.154770i
\(161\) 2.33705e35 1.14671
\(162\) 4.09830e35 + 4.14234e35i 1.82123 + 1.84080i
\(163\) 3.41681e35i 1.37600i −0.725709 0.688001i \(-0.758488\pi\)
0.725709 0.688001i \(-0.241512\pi\)
\(164\) 4.30205e33 4.02524e35i 0.0157099 1.46991i
\(165\) −3.52396e34 −0.116758
\(166\) 1.71049e34 1.69230e34i 0.0514506 0.0509037i
\(167\) 2.40656e35i 0.657557i 0.944407 + 0.328779i \(0.106637\pi\)
−0.944407 + 0.328779i \(0.893363\pi\)
\(168\) −7.68132e35 + 7.43891e35i −1.90760 + 1.84740i
\(169\) −4.33841e35 −0.979813
\(170\) −9.52446e33 9.62680e33i −0.0195730 0.0197833i
\(171\) 2.24695e36i 4.20394i
\(172\) −3.92365e35 4.19347e33i −0.668706 0.00714692i
\(173\) 6.96522e35 1.08192 0.540962 0.841047i \(-0.318060\pi\)
0.540962 + 0.841047i \(0.318060\pi\)
\(174\) 7.64214e35 7.56090e35i 1.08250 1.07099i
\(175\) 1.05449e36i 1.36280i
\(176\) −5.33271e33 + 2.49451e35i −0.00629137 + 0.294295i
\(177\) 2.30232e35 0.248081
\(178\) −9.77929e35 9.88436e35i −0.962913 0.973260i
\(179\) 9.85163e35i 0.886869i 0.896307 + 0.443435i \(0.146240\pi\)
−0.896307 + 0.443435i \(0.853760\pi\)
\(180\) −6.80706e33 + 6.36907e35i −0.00560531 + 0.524465i
\(181\) 1.91175e36 1.44070 0.720349 0.693611i \(-0.243982\pi\)
0.720349 + 0.693611i \(0.243982\pi\)
\(182\) 2.08989e35 2.06767e35i 0.144205 0.142672i
\(183\) 6.18184e35i 0.390751i
\(184\) −9.64499e35 9.95929e35i −0.558749 0.576957i
\(185\) −2.81230e35 −0.149388
\(186\) 3.01037e36 + 3.04272e36i 1.46694 + 1.48270i
\(187\) 8.58918e34i 0.0384137i
\(188\) −2.01549e36 2.15409e34i −0.827664 0.00884581i
\(189\) −1.02738e37 −3.87563
\(190\) 7.47428e35 7.39482e35i 0.259126 0.256372i
\(191\) 2.21443e36i 0.705876i 0.935647 + 0.352938i \(0.114817\pi\)
−0.935647 + 0.352938i \(0.885183\pi\)
\(192\) 6.34016e36 + 2.03347e35i 1.85901 + 0.0596235i
\(193\) 3.14662e36 0.849037 0.424519 0.905419i \(-0.360443\pi\)
0.424519 + 0.905419i \(0.360443\pi\)
\(194\) 1.13309e35 + 1.14527e35i 0.0281473 + 0.0284498i
\(195\) 2.46320e35i 0.0563568i
\(196\) 5.26414e34 4.92543e36i 0.0110976 1.03836i
\(197\) 6.11775e36 1.18886 0.594432 0.804146i \(-0.297377\pi\)
0.594432 + 0.804146i \(0.297377\pi\)
\(198\) −2.87182e36 + 2.84129e36i −0.514653 + 0.509182i
\(199\) 1.63495e36i 0.270306i 0.990825 + 0.135153i \(0.0431525\pi\)
−0.990825 + 0.135153i \(0.956847\pi\)
\(200\) 4.49368e36 4.35187e36i 0.685682 0.664043i
\(201\) −6.63497e36 −0.934765
\(202\) −6.98675e36 7.06182e36i −0.909187 0.918956i
\(203\) 9.72104e36i 1.16890i
\(204\) −2.18357e36 2.33372e34i −0.242708 0.00259398i
\(205\) 3.04985e36 0.313485
\(206\) −1.16500e35 + 1.15262e35i −0.0110777 + 0.0109600i
\(207\) 2.24477e37i 1.97536i
\(208\) −1.74363e36 3.72750e34i −0.142050 0.00303672i
\(209\) 6.66867e36 0.503151
\(210\) −5.69787e36 5.75910e36i −0.398294 0.402574i
\(211\) 7.39921e36i 0.479364i −0.970851 0.239682i \(-0.922957\pi\)
0.970851 0.239682i \(-0.0770432\pi\)
\(212\) −1.56382e35 + 1.46320e37i −0.00939321 + 0.878882i
\(213\) 1.89844e37 1.05760
\(214\) −1.10871e37 + 1.09692e37i −0.573057 + 0.566965i
\(215\) 2.97288e36i 0.142614i
\(216\) 4.24000e37 + 4.37817e37i 1.88845 + 1.94999i
\(217\) −3.87043e37 −1.60105
\(218\) −1.74957e37 1.76837e37i −0.672400 0.679625i
\(219\) 3.69777e35i 0.0132079i
\(220\) −1.89026e36 2.02025e34i −0.0627709 0.000670875i
\(221\) 6.00374e35 0.0185415
\(222\) −3.22373e37 + 3.18946e37i −0.926212 + 0.916366i
\(223\) 5.90826e36i 0.157973i −0.996876 0.0789863i \(-0.974832\pi\)
0.996876 0.0789863i \(-0.0251683\pi\)
\(224\) −4.16293e37 + 3.94621e37i −1.03617 + 0.982228i
\(225\) 1.01285e38 2.34761
\(226\) 2.47263e37 + 2.49920e37i 0.533857 + 0.539593i
\(227\) 8.07545e37i 1.62462i 0.583223 + 0.812312i \(0.301791\pi\)
−0.583223 + 0.812312i \(0.698209\pi\)
\(228\) 1.81191e36 1.69533e38i 0.0339765 3.17904i
\(229\) 2.52873e37 0.442115 0.221058 0.975261i \(-0.429049\pi\)
0.221058 + 0.975261i \(0.429049\pi\)
\(230\) 7.46701e36 7.38763e36i 0.121759 0.120465i
\(231\) 5.13835e37i 0.781686i
\(232\) 4.14261e37 4.01188e37i 0.588121 0.569560i
\(233\) −9.45644e37 −1.25324 −0.626618 0.779326i \(-0.715561\pi\)
−0.626618 + 0.779326i \(0.715561\pi\)
\(234\) −1.98603e37 2.00737e37i −0.245772 0.248413i
\(235\) 1.52710e37i 0.176515i
\(236\) 1.23497e37 + 1.31990e35i 0.133372 + 0.00142544i
\(237\) −2.45208e38 −2.47492
\(238\) 1.40370e37 1.38878e37i 0.132448 0.131040i
\(239\) 1.78296e38i 1.57317i −0.617484 0.786584i \(-0.711848\pi\)
0.617484 0.786584i \(-0.288152\pi\)
\(240\) −1.02719e36 + 4.80492e37i −0.00847753 + 0.396558i
\(241\) 8.20511e37 0.633595 0.316797 0.948493i \(-0.397392\pi\)
0.316797 + 0.948493i \(0.397392\pi\)
\(242\) 8.88864e37 + 8.98415e37i 0.642376 + 0.649279i
\(243\) 3.10664e38i 2.10179i
\(244\) −3.54399e35 + 3.31596e37i −0.00224520 + 0.210074i
\(245\) 3.73191e37 0.221449
\(246\) 3.49602e38 3.45886e38i 1.94363 1.92296i
\(247\) 4.66132e37i 0.242861i
\(248\) 1.59733e38 + 1.64938e38i 0.780130 + 0.805552i
\(249\) 2.93962e37 0.134617
\(250\) 6.82549e37 + 6.89883e37i 0.293153 + 0.296303i
\(251\) 2.58885e38i 1.04310i 0.853220 + 0.521551i \(0.174646\pi\)
−0.853220 + 0.521551i \(0.825354\pi\)
\(252\) −9.28688e38 9.92552e36i −3.51125 0.0375271i
\(253\) 6.66218e37 0.236422
\(254\) −2.11344e38 + 2.09097e38i −0.704125 + 0.696640i
\(255\) 1.65445e37i 0.0517619i
\(256\) 3.39971e38 + 1.45423e37i 0.999086 + 0.0427361i
\(257\) −3.36333e38 −0.928622 −0.464311 0.885672i \(-0.653698\pi\)
−0.464311 + 0.885672i \(0.653698\pi\)
\(258\) −3.37156e38 3.40779e38i −0.874815 0.884214i
\(259\) 4.10068e38i 1.00014i
\(260\) 1.41213e35 1.32127e37i 0.000323818 0.0302983i
\(261\) 9.33721e38 2.01358
\(262\) 1.68876e38 1.67080e38i 0.342568 0.338926i
\(263\) 3.51698e38i 0.671239i 0.941998 + 0.335620i \(0.108946\pi\)
−0.941998 + 0.335620i \(0.891054\pi\)
\(264\) −2.18970e38 + 2.12060e38i −0.393299 + 0.380887i
\(265\) −1.10864e38 −0.187438
\(266\) 1.07825e39 + 1.08984e39i 1.71639 + 1.73483i
\(267\) 1.69871e39i 2.54647i
\(268\) −3.55902e38 3.80376e36i −0.502543 0.00537102i
\(269\) −5.77334e37 −0.0768052 −0.0384026 0.999262i \(-0.512227\pi\)
−0.0384026 + 0.999262i \(0.512227\pi\)
\(270\) −3.28255e38 + 3.24765e38i −0.411520 + 0.407145i
\(271\) 1.07532e39i 1.27066i −0.772242 0.635328i \(-0.780865\pi\)
0.772242 0.635328i \(-0.219135\pi\)
\(272\) −1.17114e38 2.50363e36i −0.130468 0.00278913i
\(273\) 3.59165e38 0.377304
\(274\) −5.05941e37 5.11377e37i −0.0501292 0.0506678i
\(275\) 3.00601e38i 0.280975i
\(276\) 1.81015e37 1.69368e39i 0.0159650 1.49378i
\(277\) −1.81603e39 −1.51164 −0.755819 0.654781i \(-0.772761\pi\)
−0.755819 + 0.654781i \(0.772761\pi\)
\(278\) −7.72116e38 + 7.63908e38i −0.606688 + 0.600239i
\(279\) 3.71761e39i 2.75802i
\(280\) −3.02334e38 3.12186e38i −0.211816 0.218718i
\(281\) 2.38762e39 1.58003 0.790014 0.613089i \(-0.210073\pi\)
0.790014 + 0.613089i \(0.210073\pi\)
\(282\) −1.73189e39 1.75050e39i −1.08277 1.09440i
\(283\) 2.42757e39i 1.43413i −0.697006 0.717065i \(-0.745485\pi\)
0.697006 0.717065i \(-0.254515\pi\)
\(284\) 1.01833e39 + 1.08835e37i 0.568583 + 0.00607683i
\(285\) 1.28452e39 0.677988
\(286\) 5.95762e37 5.89428e37i 0.0297315 0.0294154i
\(287\) 4.44705e39i 2.09875i
\(288\) 3.79040e39 + 3.99856e39i 1.69202 + 1.78494i
\(289\) −2.32759e39 −0.982970
\(290\) 3.07292e38 + 3.10594e38i 0.122796 + 0.124115i
\(291\) 1.96824e38i 0.0744371i
\(292\) 2.11989e35 1.98349e37i 7.58907e−5 0.00710076i
\(293\) −4.98153e39 −1.68842 −0.844210 0.536012i \(-0.819930\pi\)
−0.844210 + 0.536012i \(0.819930\pi\)
\(294\) 4.27786e39 4.23239e39i 1.37300 1.35840i
\(295\) 9.35715e37i 0.0284440i
\(296\) −1.74750e39 + 1.69235e39i −0.503211 + 0.487330i
\(297\) −2.92874e39 −0.799057
\(298\) −3.10080e39 3.13412e39i −0.801704 0.810318i
\(299\) 4.65679e38i 0.114116i
\(300\) 7.64197e39 + 8.16749e37i 1.77527 + 0.0189735i
\(301\) 4.33482e39 0.954787
\(302\) −6.13490e39 + 6.06969e39i −1.28144 + 1.26781i
\(303\) 1.21363e40i 2.40439i
\(304\) 1.94383e38 9.09274e39i 0.0365326 1.70890i
\(305\) −2.51244e38 −0.0448021
\(306\) −1.33395e39 1.34828e39i −0.225733 0.228159i
\(307\) 4.44575e39i 0.714055i 0.934094 + 0.357027i \(0.116210\pi\)
−0.934094 + 0.357027i \(0.883790\pi\)
\(308\) 2.94577e37 2.75623e39i 0.00449145 0.420246i
\(309\) −2.00216e38 −0.0289843
\(310\) −1.23663e39 + 1.22348e39i −0.170001 + 0.168194i
\(311\) 8.05331e39i 1.05150i 0.850640 + 0.525749i \(0.176215\pi\)
−0.850640 + 0.525749i \(0.823785\pi\)
\(312\) −1.48227e39 1.53058e39i −0.183846 0.189837i
\(313\) 1.22081e40 1.43859 0.719297 0.694703i \(-0.244464\pi\)
0.719297 + 0.694703i \(0.244464\pi\)
\(314\) 2.88190e39 + 2.91286e39i 0.322704 + 0.326171i
\(315\) 7.03650e39i 0.748838i
\(316\) −1.31530e40 1.40575e38i −1.33055 0.0142205i
\(317\) 1.31141e40 1.26122 0.630608 0.776101i \(-0.282806\pi\)
0.630608 + 0.776101i \(0.282806\pi\)
\(318\) −1.27083e40 + 1.25732e40i −1.16212 + 1.14977i
\(319\) 2.77116e39i 0.240997i
\(320\) −8.26447e37 + 2.57678e39i −0.00683621 + 0.213147i
\(321\) −1.90541e40 −1.49937
\(322\) 1.07721e40 + 1.08878e40i 0.806501 + 0.815167i
\(323\) 3.13084e39i 0.223060i
\(324\) −4.08123e38 + 3.81863e40i −0.0276739 + 2.58933i
\(325\) −2.10117e39 −0.135621
\(326\) 1.59182e40 1.57490e40i 0.978166 0.967768i
\(327\) 3.03909e40i 1.77820i
\(328\) 1.89511e40 1.83530e40i 1.05597 1.02265i
\(329\) 2.22669e40 1.18175
\(330\) −1.62429e39 1.64174e39i −0.0821182 0.0830005i
\(331\) 4.77499e39i 0.229998i 0.993366 + 0.114999i \(0.0366866\pi\)
−0.993366 + 0.114999i \(0.963313\pi\)
\(332\) 1.57682e39 + 1.68525e37i 0.0723723 + 0.000773492i
\(333\) −3.93877e40 −1.72287
\(334\) −1.12117e40 + 1.10925e40i −0.467441 + 0.462472i
\(335\) 2.69660e39i 0.107177i
\(336\) −7.00616e40 1.49776e39i −2.65492 0.0567563i
\(337\) 2.78352e40 1.00581 0.502906 0.864341i \(-0.332264\pi\)
0.502906 + 0.864341i \(0.332264\pi\)
\(338\) −1.99969e40 2.02117e40i −0.689120 0.696524i
\(339\) 4.29509e40i 1.41181i
\(340\) 9.48478e36 8.87450e38i 0.000297416 0.0278279i
\(341\) −1.10334e40 −0.330095
\(342\) 1.04681e41 1.03568e41i 2.98847 2.95670i
\(343\) 2.01317e39i 0.0548498i
\(344\) −1.78898e40 1.84728e40i −0.465233 0.480393i
\(345\) 1.28327e40 0.318575
\(346\) 3.21045e40 + 3.24495e40i 0.760937 + 0.769114i
\(347\) 2.07944e40i 0.470625i 0.971920 + 0.235312i \(0.0756113\pi\)
−0.971920 + 0.235312i \(0.924389\pi\)
\(348\) 7.04493e40 + 7.52940e38i 1.52268 + 0.0162739i
\(349\) 2.76042e39 0.0569861 0.0284931 0.999594i \(-0.490929\pi\)
0.0284931 + 0.999594i \(0.490929\pi\)
\(350\) −4.91263e40 + 4.86041e40i −0.968781 + 0.958483i
\(351\) 2.04715e40i 0.385689i
\(352\) −1.18672e40 + 1.12494e40i −0.213632 + 0.202510i
\(353\) −9.59897e40 −1.65131 −0.825656 0.564174i \(-0.809195\pi\)
−0.825656 + 0.564174i \(0.809195\pi\)
\(354\) 1.06120e40 + 1.07260e40i 0.174480 + 0.176355i
\(355\) 7.71567e39i 0.121261i
\(356\) 9.73854e38 9.11193e40i 0.0146317 1.36902i
\(357\) 2.41238e40 0.346541
\(358\) −4.58967e40 + 4.54088e40i −0.630453 + 0.623751i
\(359\) 6.27660e40i 0.824543i −0.911061 0.412271i \(-0.864736\pi\)
0.911061 0.412271i \(-0.135264\pi\)
\(360\) −2.99859e40 + 2.90396e40i −0.376771 + 0.364881i
\(361\) −1.59881e41 −1.92168
\(362\) 8.81175e40 + 8.90643e40i 1.01327 + 1.02416i
\(363\) 1.54400e41i 1.69880i
\(364\) 1.92657e40 + 2.05906e38i 0.202844 + 0.00216793i
\(365\) 1.50286e38 0.00151437
\(366\) −2.87999e40 + 2.84938e40i −0.277775 + 0.274823i
\(367\) 8.57201e39i 0.0791454i 0.999217 + 0.0395727i \(0.0125997\pi\)
−0.999217 + 0.0395727i \(0.987400\pi\)
\(368\) 1.94194e39 9.08390e40i 0.0171660 0.802985i
\(369\) 4.27146e41 3.61539
\(370\) −1.29627e40 1.31019e40i −0.105067 0.106196i
\(371\) 1.61653e41i 1.25488i
\(372\) −2.99783e39 + 2.80494e41i −0.0222905 + 2.08563i
\(373\) 1.37825e41 0.981716 0.490858 0.871240i \(-0.336683\pi\)
0.490858 + 0.871240i \(0.336683\pi\)
\(374\) 4.00152e39 3.95898e39i 0.0273073 0.0270170i
\(375\) 1.18562e41i 0.775258i
\(376\) −9.18956e40 9.48902e40i −0.575823 0.594588i
\(377\) −1.93701e40 −0.116324
\(378\) −4.73547e41 4.78635e41i −2.72580 2.75509i
\(379\) 1.50229e41i 0.828946i −0.910062 0.414473i \(-0.863966\pi\)
0.910062 0.414473i \(-0.136034\pi\)
\(380\) 6.89019e40 + 7.36401e38i 0.364497 + 0.00389562i
\(381\) −3.63212e41 −1.84230
\(382\) −1.03166e41 + 1.02069e41i −0.501790 + 0.496455i
\(383\) 2.19628e41i 1.02449i −0.858840 0.512244i \(-0.828814\pi\)
0.858840 0.512244i \(-0.171186\pi\)
\(384\) 2.82762e41 + 3.04748e41i 1.26509 + 1.36346i
\(385\) 2.08834e40 0.0896251
\(386\) 1.45036e41 + 1.46594e41i 0.597143 + 0.603560i
\(387\) 4.16366e41i 1.64475i
\(388\) −1.12837e38 + 1.05577e40i −0.000427705 + 0.0400185i
\(389\) 2.11359e40 0.0768826 0.0384413 0.999261i \(-0.487761\pi\)
0.0384413 + 0.999261i \(0.487761\pi\)
\(390\) 1.14756e40 1.13536e40i 0.0400627 0.0396368i
\(391\) 3.12780e40i 0.104812i
\(392\) 2.31892e41 2.24574e41i 0.745948 0.722407i
\(393\) 2.90227e41 0.896308
\(394\) 2.81983e41 + 2.85013e41i 0.836150 + 0.845134i
\(395\) 9.96581e40i 0.283765i
\(396\) −2.64740e41 2.82945e39i −0.723930 0.00773713i
\(397\) −4.90660e41 −1.28864 −0.644322 0.764754i \(-0.722860\pi\)
−0.644322 + 0.764754i \(0.722860\pi\)
\(398\) −7.61689e40 + 7.53592e40i −0.192154 + 0.190111i
\(399\) 1.87298e42i 4.53907i
\(400\) 4.09870e41 + 8.76213e39i 0.954304 + 0.0204009i
\(401\) 1.99805e41 0.446989 0.223494 0.974705i \(-0.428254\pi\)
0.223494 + 0.974705i \(0.428254\pi\)
\(402\) −3.05824e41 3.09110e41i −0.657437 0.664501i
\(403\) 7.71221e40i 0.159330i
\(404\) 6.95764e39 6.50996e41i 0.0138153 1.29264i
\(405\) −2.89330e41 −0.552222
\(406\) −4.52883e41 + 4.48069e41i −0.830940 + 0.822106i
\(407\) 1.16898e41i 0.206203i
\(408\) −9.95591e40 1.02803e41i −0.168857 0.174359i
\(409\) 3.16160e41 0.515625 0.257812 0.966195i \(-0.416998\pi\)
0.257812 + 0.966195i \(0.416998\pi\)
\(410\) 1.40576e41 + 1.42086e41i 0.220480 + 0.222849i
\(411\) 8.78845e40i 0.132569i
\(412\) −1.07396e40 1.14782e38i −0.0155824 0.000166539i
\(413\) −1.36439e41 −0.190430
\(414\) 1.04579e42 1.03467e42i 1.40423 1.38931i
\(415\) 1.19473e40i 0.0154347i
\(416\) −7.86321e40 8.29504e40i −0.0977478 0.103116i
\(417\) −1.32695e42 −1.58736
\(418\) 3.07377e41 + 3.10679e41i 0.353875 + 0.357678i
\(419\) 2.27724e41i 0.252338i 0.992009 + 0.126169i \(0.0402682\pi\)
−0.992009 + 0.126169i \(0.959732\pi\)
\(420\) 5.67413e39 5.30904e41i 0.00605216 0.566275i
\(421\) 5.81964e41 0.597561 0.298781 0.954322i \(-0.403420\pi\)
0.298781 + 0.954322i \(0.403420\pi\)
\(422\) 3.44714e41 3.41049e41i 0.340768 0.337146i
\(423\) 2.13877e42i 2.03572i
\(424\) −6.88883e41 + 6.67143e41i −0.631382 + 0.611456i
\(425\) −1.41128e41 −0.124563
\(426\) 8.75040e41 + 8.84442e41i 0.743831 + 0.751823i
\(427\) 3.66344e41i 0.299946i
\(428\) −1.02207e42 1.09235e40i −0.806083 0.00861515i
\(429\) 1.02387e41 0.0777905
\(430\) 1.38500e41 1.37028e41i 0.101381 0.100303i
\(431\) 6.23287e41i 0.439594i −0.975546 0.219797i \(-0.929461\pi\)
0.975546 0.219797i \(-0.0705395\pi\)
\(432\) −8.53689e40 + 3.99334e42i −0.0580176 + 2.71392i
\(433\) 2.42979e42 1.59134 0.795669 0.605732i \(-0.207120\pi\)
0.795669 + 0.605732i \(0.207120\pi\)
\(434\) −1.78399e42 1.80315e42i −1.12604 1.13814i
\(435\) 5.33781e41i 0.324740i
\(436\) 1.74228e40 1.63018e42i 0.0102173 0.955985i
\(437\) −2.42843e42 −1.37285
\(438\) 1.72271e40 1.70440e40i 0.00938917 0.00928936i
\(439\) 1.23596e42i 0.649489i 0.945802 + 0.324744i \(0.105278\pi\)
−0.945802 + 0.324744i \(0.894722\pi\)
\(440\) −8.61859e40 8.89944e40i −0.0436710 0.0450941i
\(441\) 5.22672e42 2.55394
\(442\) 2.76728e40 + 2.79702e40i 0.0130406 + 0.0131807i
\(443\) 3.70666e42i 1.68470i 0.538928 + 0.842352i \(0.318830\pi\)
−0.538928 + 0.842352i \(0.681170\pi\)
\(444\) −2.97180e42 3.17617e40i −1.30284 0.0139244i
\(445\) 6.90394e41 0.291969
\(446\) 2.75254e41 2.72327e41i 0.112299 0.111105i
\(447\) 5.38625e42i 2.12015i
\(448\) −3.75726e42 1.20506e41i −1.42700 0.0457678i
\(449\) 1.53593e42 0.562898 0.281449 0.959576i \(-0.409185\pi\)
0.281449 + 0.959576i \(0.409185\pi\)
\(450\) 4.66850e42 + 4.71866e42i 1.65111 + 1.66886i
\(451\) 1.26771e42i 0.432710i
\(452\) −2.46233e40 + 2.30390e42i −0.00811207 + 0.759011i
\(453\) −1.05434e43 −3.35280
\(454\) −3.76218e42 + 3.72219e42i −1.15491 + 1.14263i
\(455\) 1.45973e41i 0.0432603i
\(456\) 7.98169e42 7.72980e42i 2.28380 2.21172i
\(457\) 9.11690e41 0.251877 0.125938 0.992038i \(-0.459806\pi\)
0.125938 + 0.992038i \(0.459806\pi\)
\(458\) 1.16556e42 + 1.17808e42i 0.310948 + 0.314289i
\(459\) 1.37500e42i 0.354242i
\(460\) 6.88349e41 + 7.35685e39i 0.171271 + 0.00183049i
\(461\) 2.18901e42 0.526057 0.263029 0.964788i \(-0.415279\pi\)
0.263029 + 0.964788i \(0.415279\pi\)
\(462\) 2.39385e42 2.36840e42i 0.555681 0.549774i
\(463\) 2.51512e42i 0.563980i −0.959417 0.281990i \(-0.909006\pi\)
0.959417 0.281990i \(-0.0909945\pi\)
\(464\) 3.77849e42 + 8.07758e40i 0.818522 + 0.0174982i
\(465\) −2.12525e42 −0.444798
\(466\) −4.35873e42 4.40556e42i −0.881424 0.890895i
\(467\) 4.49771e42i 0.878864i 0.898276 + 0.439432i \(0.144820\pi\)
−0.898276 + 0.439432i \(0.855180\pi\)
\(468\) 1.97776e40 1.85050e42i 0.00373456 0.349426i
\(469\) 3.93197e42 0.717538
\(470\) 7.11442e41 7.03879e41i 0.125480 0.124146i
\(471\) 5.00600e42i 0.853408i
\(472\) 5.63082e41 + 5.81431e41i 0.0927897 + 0.0958134i
\(473\) 1.23572e42 0.196853
\(474\) −1.13023e43 1.14237e43i −1.74066 1.75936i
\(475\) 1.09572e43i 1.63156i
\(476\) 1.29401e42 + 1.38300e40i 0.186306 + 0.00199117i
\(477\) −1.55270e43 −2.16170
\(478\) 8.30644e42 8.21813e42i 1.11833 1.10644i
\(479\) 1.36411e43i 1.77616i 0.459689 + 0.888080i \(0.347961\pi\)
−0.459689 + 0.888080i \(0.652039\pi\)
\(480\) −2.28586e42 + 2.16686e42i −0.287865 + 0.272880i
\(481\) 8.17100e41 0.0995300
\(482\) 3.78195e42 + 3.82259e42i 0.445619 + 0.450407i
\(483\) 1.87116e43i 2.13283i
\(484\) −8.85161e40 + 8.28207e42i −0.00976104 + 0.913299i
\(485\) −7.99935e40 −0.00853468
\(486\) −1.44732e43 + 1.43193e43i −1.49411 + 1.47823i
\(487\) 1.93772e43i 1.93565i −0.251618 0.967827i \(-0.580963\pi\)
0.251618 0.967827i \(-0.419037\pi\)
\(488\) −1.56117e42 + 1.51190e42i −0.150915 + 0.146153i
\(489\) 2.73568e43 2.55931
\(490\) 1.72014e42 + 1.73862e42i 0.155749 + 0.157423i
\(491\) 1.38022e41i 0.0120960i −0.999982 0.00604802i \(-0.998075\pi\)
0.999982 0.00604802i \(-0.00192516\pi\)
\(492\) 3.22282e43 + 3.44445e41i 2.73397 + 0.0292198i
\(493\) −1.30102e42 −0.106840
\(494\) −2.17161e42 + 2.14853e42i −0.172644 + 0.170809i
\(495\) 2.00588e42i 0.154391i
\(496\) −3.21609e41 + 1.50440e43i −0.0239674 + 1.12114i
\(497\) −1.12504e43 −0.811830
\(498\) 1.35495e42 + 1.36951e42i 0.0946789 + 0.0956962i
\(499\) 1.55609e43i 1.05299i −0.850177 0.526497i \(-0.823505\pi\)
0.850177 0.526497i \(-0.176495\pi\)
\(500\) −6.79705e40 + 6.35971e42i −0.00445452 + 0.416790i
\(501\) −1.92682e43 −1.22303
\(502\) −1.20609e43 + 1.19327e43i −0.741515 + 0.733632i
\(503\) 6.36940e42i 0.379325i 0.981849 + 0.189662i \(0.0607393\pi\)
−0.981849 + 0.189662i \(0.939261\pi\)
\(504\) −4.23433e43 4.37231e43i −2.44285 2.52245i
\(505\) 4.93248e42 0.275679
\(506\) 3.07078e42 + 3.10377e42i 0.166280 + 0.168067i
\(507\) 3.47356e43i 1.82241i
\(508\) −1.94828e43 2.08226e41i −0.990448 0.0105856i
\(509\) −1.11048e43 −0.547048 −0.273524 0.961865i \(-0.588189\pi\)
−0.273524 + 0.961865i \(0.588189\pi\)
\(510\) 7.70772e41 7.62579e41i 0.0367962 0.0364051i
\(511\) 2.19134e41i 0.0101386i
\(512\) 1.49927e43 + 1.65089e43i 0.672296 + 0.740283i
\(513\) 1.06756e44 4.63994
\(514\) −1.55025e43 1.56690e43i −0.653117 0.660134i
\(515\) 8.13721e40i 0.00332322i
\(516\) 3.35751e41 3.14148e43i 0.0132930 1.24377i
\(517\) 6.34760e42 0.243647
\(518\) 1.91042e43 1.89011e43i 0.710973 0.703415i
\(519\) 5.57672e43i 2.01234i
\(520\) 6.22061e41 6.02429e41i 0.0217660 0.0210791i
\(521\) −4.50656e43 −1.52912 −0.764560 0.644552i \(-0.777044\pi\)
−0.764560 + 0.644552i \(0.777044\pi\)
\(522\) 4.30377e43 + 4.35001e43i 1.41619 + 1.43141i
\(523\) 2.33715e43i 0.745864i −0.927859 0.372932i \(-0.878352\pi\)
0.927859 0.372932i \(-0.121648\pi\)
\(524\) 1.55679e43 + 1.66384e41i 0.481868 + 0.00515005i
\(525\) −8.44278e43 −2.53476
\(526\) −1.63849e43 + 1.62107e43i −0.477167 + 0.472095i
\(527\) 5.18002e42i 0.146339i
\(528\) −1.99724e43 4.26965e41i −0.547377 0.0117017i
\(529\) 1.33482e43 0.354921
\(530\) −5.11002e42 5.16493e42i −0.131828 0.133245i
\(531\) 1.31051e43i 0.328042i
\(532\) −1.07376e42 + 1.00467e44i −0.0260808 + 2.44027i
\(533\) −8.86118e42 −0.208860
\(534\) 7.91394e43 7.82981e43i 1.81023 1.79098i
\(535\) 7.74402e42i 0.171912i
\(536\) −1.62272e43 1.67560e43i −0.349630 0.361023i
\(537\) −7.88773e43 −1.64954
\(538\) −2.66108e42 2.68968e42i −0.0540185 0.0545989i
\(539\) 1.55122e43i 0.305671i
\(540\) −3.02603e43 3.23412e41i −0.578859 0.00618666i
\(541\) 6.53826e43 1.21424 0.607122 0.794609i \(-0.292324\pi\)
0.607122 + 0.794609i \(0.292324\pi\)
\(542\) 5.00968e43 4.95642e43i 0.903278 0.893676i
\(543\) 1.53065e44i 2.67964i
\(544\) −5.28144e42 5.57148e42i −0.0897780 0.0947083i
\(545\) 1.23516e43 0.203881
\(546\) 1.65549e43 + 1.67327e43i 0.265365 + 0.268216i
\(547\) 2.02527e43i 0.315273i −0.987497 0.157636i \(-0.949613\pi\)
0.987497 0.157636i \(-0.0503874\pi\)
\(548\) 5.03833e40 4.71415e42i 0.000761724 0.0712712i
\(549\) −3.51879e43 −0.516697
\(550\) −1.40044e43 + 1.38555e43i −0.199738 + 0.197615i
\(551\) 1.01012e44i 1.39941i
\(552\) 7.97393e43 7.72229e43i 1.07312 1.03925i
\(553\) 1.45314e44 1.89978
\(554\) −8.37058e43 8.46052e43i −1.06316 1.07459i
\(555\) 2.25168e43i 0.277855i
\(556\) −7.11777e43 7.60725e41i −0.853390 0.00912075i
\(557\) −8.56431e43 −0.997722 −0.498861 0.866682i \(-0.666248\pi\)
−0.498861 + 0.866682i \(0.666248\pi\)
\(558\) −1.73196e44 + 1.71355e44i −1.96060 + 1.93976i
\(559\) 8.63754e42i 0.0950170i
\(560\) 6.08724e41 2.84746e43i 0.00650747 0.304403i
\(561\) 6.87695e42 0.0714480
\(562\) 1.10052e44 + 1.11234e44i 1.11126 + 1.12320i
\(563\) 1.69794e44i 1.66644i 0.552945 + 0.833218i \(0.313504\pi\)
−0.552945 + 0.833218i \(0.686496\pi\)
\(564\) 1.72468e42 1.61370e44i 0.0164529 1.53942i
\(565\) −1.74562e43 −0.161873
\(566\) 1.13095e44 1.11893e44i 1.01949 1.00865i
\(567\) 4.21879e44i 3.69708i
\(568\) 4.64303e43 + 4.79433e43i 0.395575 + 0.408465i
\(569\) 1.73820e44 1.43981 0.719904 0.694074i \(-0.244186\pi\)
0.719904 + 0.694074i \(0.244186\pi\)
\(570\) 5.92068e43 + 5.98430e43i 0.476842 + 0.481965i
\(571\) 9.06850e43i 0.710162i −0.934835 0.355081i \(-0.884453\pi\)
0.934835 0.355081i \(-0.115547\pi\)
\(572\) 5.49205e42 + 5.86972e40i 0.0418213 + 0.000446973i
\(573\) −1.77299e44 −1.31290
\(574\) −2.07179e44 + 2.04976e44i −1.49195 + 1.47609i
\(575\) 1.09466e44i 0.766642i
\(576\) −1.15748e43 + 3.60891e44i −0.0788412 + 2.45819i
\(577\) 5.56570e43 0.368728 0.184364 0.982858i \(-0.440977\pi\)
0.184364 + 0.982858i \(0.440977\pi\)
\(578\) −1.07285e44 1.08437e44i −0.691341 0.698769i
\(579\) 2.51935e44i 1.57918i
\(580\) −3.06011e41 + 2.86322e43i −0.00186591 + 0.174585i
\(581\) −1.74206e43 −0.103334
\(582\) −9.16961e42 + 9.07213e42i −0.0529155 + 0.0523530i
\(583\) 4.60823e43i 0.258724i
\(584\) 9.33839e41 9.04368e41i 0.00510113 0.00494015i
\(585\) 1.40209e43 0.0745216
\(586\) −2.29612e44 2.32079e44i −1.18750 1.20026i
\(587\) 2.62247e44i 1.31978i 0.751362 + 0.659890i \(0.229397\pi\)
−0.751362 + 0.659890i \(0.770603\pi\)
\(588\) 3.94356e44 + 4.21475e42i 1.93131 + 0.0206412i
\(589\) 4.02178e44 1.91679
\(590\) −4.35930e42 + 4.31296e42i −0.0202202 + 0.0200052i
\(591\) 4.89819e44i 2.21124i
\(592\) −1.59390e44 3.40741e42i −0.700348 0.0149719i
\(593\) −9.29311e43 −0.397453 −0.198727 0.980055i \(-0.563681\pi\)
−0.198727 + 0.980055i \(0.563681\pi\)
\(594\) −1.34993e44 1.36444e44i −0.561991 0.568030i
\(595\) 9.80447e42i 0.0397331i
\(596\) 3.08788e42 2.88920e44i 0.0121821 1.13982i
\(597\) −1.30903e44 −0.502758
\(598\) −2.16950e43 + 2.14644e43i −0.0811224 + 0.0802600i
\(599\) 4.04496e44i 1.47260i −0.676655 0.736301i \(-0.736571\pi\)
0.676655 0.736301i \(-0.263429\pi\)
\(600\) 3.48434e44 + 3.59788e44i 1.23509 + 1.27534i
\(601\) −3.28279e43 −0.113305 −0.0566527 0.998394i \(-0.518043\pi\)
−0.0566527 + 0.998394i \(0.518043\pi\)
\(602\) 1.99803e44 + 2.01950e44i 0.671519 + 0.678735i
\(603\) 3.77672e44i 1.23605i
\(604\) −5.65548e44 6.04440e42i −1.80251 0.0192647i
\(605\) −6.27517e43 −0.194778
\(606\) 5.65407e44 5.59396e44i 1.70922 1.69105i
\(607\) 2.42531e43i 0.0714081i 0.999362 + 0.0357041i \(0.0113674\pi\)
−0.999362 + 0.0357041i \(0.988633\pi\)
\(608\) 4.32571e44 4.10053e44i 1.24051 1.17593i
\(609\) −7.78318e44 −2.17410
\(610\) −1.15805e43 1.17049e43i −0.0315101 0.0318487i
\(611\) 4.43690e43i 0.117603i
\(612\) 1.32839e42 1.24292e44i 0.00343007 0.320936i
\(613\) −3.90547e44 −0.982440 −0.491220 0.871035i \(-0.663449\pi\)
−0.491220 + 0.871035i \(0.663449\pi\)
\(614\) −2.07118e44 + 2.04917e44i −0.507604 + 0.502208i
\(615\) 2.44187e44i 0.583070i
\(616\) 1.29765e44 1.25669e44i 0.301901 0.292374i
\(617\) −3.70500e44 −0.839895 −0.419948 0.907548i \(-0.637952\pi\)
−0.419948 + 0.907548i \(0.637952\pi\)
\(618\) −9.22847e42 9.32763e42i −0.0203852 0.0206042i
\(619\) 6.45166e44i 1.38874i −0.719618 0.694370i \(-0.755683\pi\)
0.719618 0.694370i \(-0.244317\pi\)
\(620\) −1.13999e44 1.21838e42i −0.239130 0.00255574i
\(621\) 1.06652e45 2.18023
\(622\) −3.75187e44 + 3.71198e44i −0.747483 + 0.739537i
\(623\) 1.00668e45i 1.95471i
\(624\) 2.98444e42 1.39604e44i 0.00564818 0.264208i
\(625\) 4.69261e44 0.865634
\(626\) 5.62703e44 + 5.68750e44i 1.01179 + 1.02266i
\(627\) 5.33928e44i 0.935842i
\(628\) −2.86989e42 + 2.68523e44i −0.00490355 + 0.458804i
\(629\) 5.48817e43 0.0914150
\(630\) 3.27816e44 3.24331e44i 0.532330 0.526671i
\(631\) 3.80541e44i 0.602465i −0.953551 0.301233i \(-0.902602\pi\)
0.953551 0.301233i \(-0.0973980\pi\)
\(632\) −5.99709e44 6.19252e44i −0.925694 0.955860i
\(633\) 5.92419e44 0.891600
\(634\) 6.04463e44 + 6.10958e44i 0.887036 + 0.896567i
\(635\) 1.47617e44i 0.211231i
\(636\) −1.17152e45 1.25208e43i −1.63469 0.0174710i
\(637\) −1.08429e44 −0.147541
\(638\) −1.29103e44 + 1.27730e44i −0.171319 + 0.169497i
\(639\) 1.08062e45i 1.39848i
\(640\) −1.23856e44 + 1.14921e44i −0.156329 + 0.145050i
\(641\) −3.15290e44 −0.388134 −0.194067 0.980988i \(-0.562168\pi\)
−0.194067 + 0.980988i \(0.562168\pi\)
\(642\) −8.78256e44 8.87692e44i −1.05453 1.06586i
\(643\) 6.19810e44i 0.725910i −0.931807 0.362955i \(-0.881768\pi\)
0.931807 0.362955i \(-0.118232\pi\)
\(644\) −1.07272e43 + 1.00370e45i −0.0122550 + 1.14664i
\(645\) 2.38024e44 0.265256
\(646\) −1.45859e44 + 1.44309e44i −0.158568 + 0.156882i
\(647\) 1.08329e45i 1.14888i −0.818545 0.574442i \(-0.805219\pi\)
0.818545 0.574442i \(-0.194781\pi\)
\(648\) −1.79783e45 + 1.74109e45i −1.86015 + 1.80145i
\(649\) −3.88944e43 −0.0392619
\(650\) −9.68484e43 9.78890e43i −0.0953847 0.0964096i
\(651\) 3.09887e45i 2.97788i
\(652\) 1.46743e45 + 1.56834e43i 1.37592 + 0.0147054i
\(653\) −8.28187e44 −0.757735 −0.378868 0.925451i \(-0.623686\pi\)
−0.378868 + 0.925451i \(0.623686\pi\)
\(654\) 1.41585e45 1.40080e45i 1.26408 1.25064i
\(655\) 1.17955e44i 0.102767i
\(656\) 1.72853e45 + 3.69522e43i 1.46966 + 0.0314180i
\(657\) 2.10482e43 0.0174650
\(658\) 1.02634e45 + 1.03737e45i 0.831146 + 0.840077i
\(659\) 1.81794e45i 1.43686i 0.695600 + 0.718429i \(0.255138\pi\)
−0.695600 + 0.718429i \(0.744862\pi\)
\(660\) 1.61752e42 1.51344e44i 0.00124780 0.116752i
\(661\) 2.20937e45 1.66359 0.831794 0.555085i \(-0.187314\pi\)
0.831794 + 0.555085i \(0.187314\pi\)
\(662\) −2.22457e44 + 2.20092e44i −0.163500 + 0.161762i
\(663\) 4.80691e43i 0.0344865i
\(664\) 7.18946e43 + 7.42375e43i 0.0503509 + 0.0519917i
\(665\) −7.61222e44 −0.520433
\(666\) −1.81548e45 1.83499e45i −1.21173 1.22475i
\(667\) 1.00914e45i 0.657561i
\(668\) −1.03355e45 1.10463e43i −0.657520 0.00702736i
\(669\) 4.73046e44 0.293823
\(670\) 1.25629e44 1.24294e44i 0.0761891 0.0753792i
\(671\) 1.04433e44i 0.0618412i
\(672\) −3.15955e45 3.33306e45i −1.82691 1.92723i
\(673\) −2.06677e45 −1.16695 −0.583473 0.812132i \(-0.698307\pi\)
−0.583473 + 0.812132i \(0.698307\pi\)
\(674\) 1.28300e45 + 1.29679e45i 0.707405 + 0.715006i
\(675\) 4.81218e45i 2.59109i
\(676\) 1.99135e43 1.86323e45i 0.0104713 0.979757i
\(677\) 3.45773e45 1.77571 0.887856 0.460121i \(-0.152194\pi\)
0.887856 + 0.460121i \(0.152194\pi\)
\(678\) −2.00099e45 + 1.97972e45i −1.00362 + 0.992954i
\(679\) 1.16640e44i 0.0571389i
\(680\) 4.17816e43 4.04630e43i 0.0199914 0.0193605i
\(681\) −6.46563e45 −3.02174
\(682\) −5.08558e44 5.14023e44i −0.232162 0.234656i
\(683\) 3.98486e43i 0.0177698i 0.999961 + 0.00888488i \(0.00282818\pi\)
−0.999961 + 0.00888488i \(0.997172\pi\)
\(684\) 9.65004e45 + 1.03136e44i 4.20370 + 0.0449278i
\(685\) 3.57182e43 0.0151999
\(686\) −9.37895e43 + 9.27924e43i −0.0389914 + 0.0385769i
\(687\) 2.02464e45i 0.822317i
\(688\) 3.60196e43 1.68491e45i 0.0142930 0.668592i
\(689\) 3.22110e44 0.124881
\(690\) 5.91493e44 + 5.97848e44i 0.224060 + 0.226467i
\(691\) 1.35175e45i 0.500319i 0.968205 + 0.250159i \(0.0804830\pi\)
−0.968205 + 0.250159i \(0.919517\pi\)
\(692\) −3.19708e43 + 2.99137e45i −0.0115626 + 1.08186i
\(693\) 2.92482e45 1.03364
\(694\) −9.68768e44 + 9.58469e44i −0.334555 + 0.330999i
\(695\) 5.39300e44i 0.182001i
\(696\) 3.21212e45 + 3.31679e45i 1.05936 + 1.09388i
\(697\) −5.95174e44 −0.191831
\(698\) 1.27235e44 + 1.28602e44i 0.0400794 + 0.0405100i
\(699\) 7.57132e45i 2.33097i
\(700\) −4.52873e45 4.84016e43i −1.36272 0.0145643i
\(701\) −5.09328e45 −1.49799 −0.748995 0.662575i \(-0.769464\pi\)
−0.748995 + 0.662575i \(0.769464\pi\)
\(702\) 9.53727e44 9.43588e44i 0.274176 0.271262i
\(703\) 4.26103e45i 1.19737i
\(704\) −1.07108e45 3.43525e43i −0.294211 0.00943616i
\(705\) 1.22267e45 0.328310
\(706\) −4.42442e45 4.47196e45i −1.16140 1.17388i
\(707\) 7.19215e45i 1.84564i
\(708\) −1.05678e43 + 9.88783e44i −0.00265126 + 0.248067i
\(709\) −3.07778e45 −0.754915 −0.377458 0.926027i \(-0.623202\pi\)
−0.377458 + 0.926027i \(0.623202\pi\)
\(710\) −3.59457e44 + 3.55636e44i −0.0862012 + 0.0852848i
\(711\) 1.39576e46i 3.27263i
\(712\) 4.28995e45 4.15456e45i 0.983495 0.952457i
\(713\) 4.01787e45 0.900666
\(714\) 1.11193e45 + 1.12388e45i 0.243729 + 0.246348i
\(715\) 4.16122e43i 0.00891917i
\(716\) −4.23100e45 4.52196e43i −0.886818 0.00947803i
\(717\) 1.42753e46 2.92603
\(718\) 2.92414e45 2.89305e45i 0.586147 0.579916i
\(719\) 5.99920e45i 1.17607i −0.808837 0.588033i \(-0.799903\pi\)
0.808837 0.588033i \(-0.200097\pi\)
\(720\) −2.73503e45 5.84689e43i −0.524375 0.0112100i
\(721\) 1.18650e44 0.0222487
\(722\) −7.36935e45 7.44853e45i −1.35156 1.36608i
\(723\) 6.56944e45i 1.17846i
\(724\) −8.77503e43 + 8.21042e45i −0.0153968 + 1.44062i
\(725\) 4.55327e45 0.781476
\(726\) −7.19318e45 + 7.11671e45i −1.20763 + 1.19480i
\(727\) 8.37590e44i 0.137556i −0.997632 0.0687782i \(-0.978090\pi\)
0.997632 0.0687782i \(-0.0219101\pi\)
\(728\) 8.78415e44 + 9.07040e44i 0.141123 + 0.145722i
\(729\) −8.39733e45 −1.31978
\(730\) 6.92706e42 + 7.00149e42i 0.00106508 + 0.00107653i
\(731\) 5.80153e44i 0.0872699i
\(732\) −2.65493e45 2.83750e43i −0.390729 0.00417599i
\(733\) −6.02634e45 −0.867740 −0.433870 0.900975i \(-0.642852\pi\)
−0.433870 + 0.900975i \(0.642852\pi\)
\(734\) −3.99352e44 + 3.95107e44i −0.0562625 + 0.0556644i
\(735\) 2.98796e45i 0.411887i
\(736\) 4.32151e45 4.09654e45i 0.582895 0.552551i
\(737\) 1.12088e45 0.147938
\(738\) 1.96883e46 + 1.98999e46i 2.54277 + 2.57009i
\(739\) 2.20478e45i 0.278648i −0.990247 0.139324i \(-0.955507\pi\)
0.990247 0.139324i \(-0.0444929\pi\)
\(740\) 1.29086e43 1.20781e45i 0.00159652 0.149379i
\(741\) −3.73210e45 −0.451712
\(742\) 7.53109e45 7.45103e45i 0.892062 0.882579i
\(743\) 6.54848e45i 0.759135i −0.925164 0.379568i \(-0.876073\pi\)
0.925164 0.379568i \(-0.123927\pi\)
\(744\) −1.32058e46 + 1.27890e46i −1.49830 + 1.45101i
\(745\) 2.18909e45 0.243088
\(746\) 6.35271e45 + 6.42097e45i 0.690459 + 0.697877i
\(747\) 1.67327e45i 0.178007i
\(748\) 3.68881e44 + 3.94249e42i 0.0384115 + 0.000410530i
\(749\) 1.12917e46 1.15094
\(750\) −5.52357e45 + 5.46485e45i −0.551112 + 0.545253i
\(751\) 1.64814e46i 1.60974i 0.593450 + 0.804871i \(0.297765\pi\)
−0.593450 + 0.804871i \(0.702235\pi\)
\(752\) 1.85024e44 8.65497e45i 0.0176906 0.827523i
\(753\) −2.07277e46 −1.94013
\(754\