Properties

Label 10.9.c.b.7.1
Level 10
Weight 9
Character 10.7
Analytic conductor 4.074
Analytic rank 0
Dimension 4
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 10 = 2 \cdot 5 \)
Weight: \( k \) = \( 9 \)
Character orbit: \([\chi]\) = 10.c (of order \(4\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(4.07378610061\)
Analytic rank: \(0\)
Dimension: \(4\)
Relative dimension: \(2\) over \(\Q(i)\)
Coefficient field: \(\Q(i, \sqrt{601})\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2\cdot 5^{2} \)
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 7.1
Root \(11.7577i\)
Character \(\chi\) = 10.7
Dual form 10.9.c.b.3.1

$q$-expansion

\(f(q)\) \(=\) \(q+(8.00000 + 8.00000i) q^{2} +(-39.7883 + 39.7883i) q^{3} +128.000i q^{4} +(-401.365 + 479.094i) q^{5} -636.612 q^{6} +(144.447 + 144.447i) q^{7} +(-1024.00 + 1024.00i) q^{8} +3394.79i q^{9} +O(q^{10})\) \(q+(8.00000 + 8.00000i) q^{2} +(-39.7883 + 39.7883i) q^{3} +128.000i q^{4} +(-401.365 + 479.094i) q^{5} -636.612 q^{6} +(144.447 + 144.447i) q^{7} +(-1024.00 + 1024.00i) q^{8} +3394.79i q^{9} +(-7043.67 + 621.836i) q^{10} +13600.3 q^{11} +(-5092.90 - 5092.90i) q^{12} +(30883.7 - 30883.7i) q^{13} +2311.15i q^{14} +(-3092.72 - 35031.9i) q^{15} -16384.0 q^{16} +(4949.02 + 4949.02i) q^{17} +(-27158.3 + 27158.3i) q^{18} +176579. i q^{19} +(-61324.1 - 51374.7i) q^{20} -11494.6 q^{21} +(108802. + 108802. i) q^{22} +(-229482. + 229482. i) q^{23} -81486.3i q^{24} +(-68437.7 - 384583. i) q^{25} +494139. q^{26} +(-396123. - 396123. i) q^{27} +(-18489.2 + 18489.2i) q^{28} +144167. i q^{29} +(255514. - 304997. i) q^{30} +1.50971e6 q^{31} +(-131072. - 131072. i) q^{32} +(-541132. + 541132. i) q^{33} +79184.4i q^{34} +(-127179. + 11227.8i) q^{35} -434533. q^{36} +(-1.60715e6 - 1.60715e6i) q^{37} +(-1.41263e6 + 1.41263e6i) q^{38} +2.45761e6i q^{39} +(-79595.0 - 901590. i) q^{40} +3.62276e6 q^{41} +(-91956.5 - 91956.5i) q^{42} +(-575576. + 575576. i) q^{43} +1.74084e6i q^{44} +(-1.62642e6 - 1.36255e6i) q^{45} -3.67171e6 q^{46} +(3.11186e6 + 3.11186e6i) q^{47} +(651891. - 651891. i) q^{48} -5.72307e6i q^{49} +(2.52916e6 - 3.62417e6i) q^{50} -393826. q^{51} +(3.95311e6 + 3.95311e6i) q^{52} +(8.16813e6 - 8.16813e6i) q^{53} -6.33798e6i q^{54} +(-5.45868e6 + 6.51582e6i) q^{55} -295827. q^{56} +(-7.02575e6 - 7.02575e6i) q^{57} +(-1.15334e6 + 1.15334e6i) q^{58} +1.54905e7i q^{59} +(4.48409e6 - 395868. i) q^{60} -1.92688e7 q^{61} +(1.20777e7 + 1.20777e7i) q^{62} +(-490366. + 490366. i) q^{63} -2.09715e6i q^{64} +(2.40057e6 + 2.71918e7i) q^{65} -8.65811e6 q^{66} +(-1.00075e7 - 1.00075e7i) q^{67} +(-633475. + 633475. i) q^{68} -1.82614e7i q^{69} +(-1.10726e6 - 927613. i) q^{70} +1.84257e7 q^{71} +(-3.47626e6 - 3.47626e6i) q^{72} +(2.45702e7 - 2.45702e7i) q^{73} -2.57144e7i q^{74} +(1.80249e7 + 1.25789e7i) q^{75} -2.26020e7 q^{76} +(1.96452e6 + 1.96452e6i) q^{77} +(-1.96609e7 + 1.96609e7i) q^{78} -2.17799e7i q^{79} +(6.57596e6 - 7.84948e6i) q^{80} +9.24891e6 q^{81} +(2.89820e7 + 2.89820e7i) q^{82} +(4.00189e6 - 4.00189e6i) q^{83} -1.47130e6i q^{84} +(-4.35741e6 + 384685. i) q^{85} -9.20921e6 q^{86} +(-5.73617e6 - 5.73617e6i) q^{87} +(-1.39267e7 + 1.39267e7i) q^{88} +6.14525e7i q^{89} +(-2.11100e6 - 2.39118e7i) q^{90} +8.92209e6 q^{91} +(-2.93737e7 - 2.93737e7i) q^{92} +(-6.00686e7 + 6.00686e7i) q^{93} +4.97898e7i q^{94} +(-8.45978e7 - 7.08724e7i) q^{95} +1.04303e7 q^{96} +(1.55814e7 + 1.55814e7i) q^{97} +(4.57846e7 - 4.57846e7i) q^{98} +4.61701e7i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4q + 32q^{2} + 86q^{3} - 870q^{5} + 1376q^{6} + 5726q^{7} - 4096q^{8} + O(q^{10}) \) \( 4q + 32q^{2} + 86q^{3} - 870q^{5} + 1376q^{6} + 5726q^{7} - 4096q^{8} - 4640q^{10} - 14732q^{11} + 11008q^{12} + 45576q^{13} - 115090q^{15} - 65536q^{16} + 3616q^{17} + 60032q^{18} + 37120q^{20} + 877268q^{21} - 117856q^{22} - 456794q^{23} - 913600q^{25} + 729216q^{26} - 889240q^{27} - 732928q^{28} + 421920q^{30} + 4672348q^{31} - 524288q^{32} - 4553788q^{33} + 2956030q^{35} + 960512q^{36} - 5554884q^{37} - 3932480q^{38} + 1187840q^{40} + 10738708q^{41} + 7018144q^{42} + 4913286q^{43} - 12173390q^{45} - 7308704q^{46} - 5448474q^{47} - 1409024q^{48} - 1827200q^{50} - 1827812q^{51} + 5833728q^{52} + 20290316q^{53} - 9506940q^{55} - 11726848q^{56} - 2593360q^{57} - 4236800q^{58} + 21482240q^{60} - 43572012q^{61} + 37378784q^{62} + 37877126q^{63} + 15450660q^{65} - 72860608q^{66} + 9518486q^{67} - 462848q^{68} + 52077760q^{70} + 20406908q^{71} + 7684096q^{72} - 11608364q^{73} - 21302450q^{75} - 62919680q^{76} - 110066908q^{77} - 60769056q^{78} + 14254080q^{80} + 96218224q^{81} + 85909664q^{82} + 64264686q^{83} - 12424120q^{85} + 78612576q^{86} + 8501600q^{87} + 15085568q^{88} - 79432480q^{90} - 70189812q^{91} - 58469632q^{92} + 16706132q^{93} - 82819000q^{95} - 22544384q^{96} + 34113396q^{97} - 52691072q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/10\mathbb{Z}\right)^\times\).

\(n\) \(7\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 8.00000 + 8.00000i 0.500000 + 0.500000i
\(3\) −39.7883 + 39.7883i −0.491213 + 0.491213i −0.908688 0.417475i \(-0.862915\pi\)
0.417475 + 0.908688i \(0.362915\pi\)
\(4\) 128.000i 0.500000i
\(5\) −401.365 + 479.094i −0.642184 + 0.766551i
\(6\) −636.612 −0.491213
\(7\) 144.447 + 144.447i 0.0601610 + 0.0601610i 0.736547 0.676386i \(-0.236455\pi\)
−0.676386 + 0.736547i \(0.736455\pi\)
\(8\) −1024.00 + 1024.00i −0.250000 + 0.250000i
\(9\) 3394.79i 0.517420i
\(10\) −7043.67 + 621.836i −0.704367 + 0.0621836i
\(11\) 13600.3 0.928918 0.464459 0.885595i \(-0.346249\pi\)
0.464459 + 0.885595i \(0.346249\pi\)
\(12\) −5092.90 5092.90i −0.245607 0.245607i
\(13\) 30883.7 30883.7i 1.08132 1.08132i 0.0849366 0.996386i \(-0.472931\pi\)
0.996386 0.0849366i \(-0.0270688\pi\)
\(14\) 2311.15i 0.0601610i
\(15\) −3092.72 35031.9i −0.0610908 0.691989i
\(16\) −16384.0 −0.250000
\(17\) 4949.02 + 4949.02i 0.0592549 + 0.0592549i 0.736113 0.676858i \(-0.236659\pi\)
−0.676858 + 0.736113i \(0.736659\pi\)
\(18\) −27158.3 + 27158.3i −0.258710 + 0.258710i
\(19\) 176579.i 1.35495i 0.735546 + 0.677475i \(0.236926\pi\)
−0.735546 + 0.677475i \(0.763074\pi\)
\(20\) −61324.1 51374.7i −0.383275 0.321092i
\(21\) −11494.6 −0.0591038
\(22\) 108802. + 108802.i 0.464459 + 0.464459i
\(23\) −229482. + 229482.i −0.820043 + 0.820043i −0.986114 0.166071i \(-0.946892\pi\)
0.166071 + 0.986114i \(0.446892\pi\)
\(24\) 81486.3i 0.245607i
\(25\) −68437.7 384583.i −0.175200 0.984533i
\(26\) 494139. 1.08132
\(27\) −396123. 396123.i −0.745376 0.745376i
\(28\) −18489.2 + 18489.2i −0.0300805 + 0.0300805i
\(29\) 144167.i 0.203833i 0.994793 + 0.101917i \(0.0324975\pi\)
−0.994793 + 0.101917i \(0.967503\pi\)
\(30\) 255514. 304997.i 0.315449 0.376540i
\(31\) 1.50971e6 1.63473 0.817365 0.576120i \(-0.195434\pi\)
0.817365 + 0.576120i \(0.195434\pi\)
\(32\) −131072. 131072.i −0.125000 0.125000i
\(33\) −541132. + 541132.i −0.456297 + 0.456297i
\(34\) 79184.4i 0.0592549i
\(35\) −127179. + 11227.8i −0.0847509 + 0.00748206i
\(36\) −434533. −0.258710
\(37\) −1.60715e6 1.60715e6i −0.857532 0.857532i 0.133515 0.991047i \(-0.457374\pi\)
−0.991047 + 0.133515i \(0.957374\pi\)
\(38\) −1.41263e6 + 1.41263e6i −0.677475 + 0.677475i
\(39\) 2.45761e6i 1.06232i
\(40\) −79595.0 901590.i −0.0310918 0.352184i
\(41\) 3.62276e6 1.28205 0.641023 0.767522i \(-0.278510\pi\)
0.641023 + 0.767522i \(0.278510\pi\)
\(42\) −91956.5 91956.5i −0.0295519 0.0295519i
\(43\) −575576. + 575576.i −0.168356 + 0.168356i −0.786256 0.617900i \(-0.787983\pi\)
0.617900 + 0.786256i \(0.287983\pi\)
\(44\) 1.74084e6i 0.464459i
\(45\) −1.62642e6 1.36255e6i −0.396628 0.332278i
\(46\) −3.67171e6 −0.820043
\(47\) 3.11186e6 + 3.11186e6i 0.637718 + 0.637718i 0.949992 0.312274i \(-0.101091\pi\)
−0.312274 + 0.949992i \(0.601091\pi\)
\(48\) 651891. 651891.i 0.122803 0.122803i
\(49\) 5.72307e6i 0.992761i
\(50\) 2.52916e6 3.62417e6i 0.404666 0.579867i
\(51\) −393826. −0.0582135
\(52\) 3.95311e6 + 3.95311e6i 0.540661 + 0.540661i
\(53\) 8.16813e6 8.16813e6i 1.03519 1.03519i 0.0358294 0.999358i \(-0.488593\pi\)
0.999358 0.0358294i \(-0.0114073\pi\)
\(54\) 6.33798e6i 0.745376i
\(55\) −5.45868e6 + 6.51582e6i −0.596536 + 0.712063i
\(56\) −295827. −0.0300805
\(57\) −7.02575e6 7.02575e6i −0.665569 0.665569i
\(58\) −1.15334e6 + 1.15334e6i −0.101917 + 0.101917i
\(59\) 1.54905e7i 1.27837i 0.769051 + 0.639187i \(0.220729\pi\)
−0.769051 + 0.639187i \(0.779271\pi\)
\(60\) 4.48409e6 395868.i 0.345994 0.0305454i
\(61\) −1.92688e7 −1.39167 −0.695833 0.718204i \(-0.744965\pi\)
−0.695833 + 0.718204i \(0.744965\pi\)
\(62\) 1.20777e7 + 1.20777e7i 0.817365 + 0.817365i
\(63\) −490366. + 490366.i −0.0311285 + 0.0311285i
\(64\) 2.09715e6i 0.125000i
\(65\) 2.40057e6 + 2.71918e7i 0.134481 + 1.52330i
\(66\) −8.65811e6 −0.456297
\(67\) −1.00075e7 1.00075e7i −0.496624 0.496624i 0.413761 0.910385i \(-0.364215\pi\)
−0.910385 + 0.413761i \(0.864215\pi\)
\(68\) −633475. + 633475.i −0.0296274 + 0.0296274i
\(69\) 1.82614e7i 0.805632i
\(70\) −1.10726e6 927613.i −0.0461165 0.0386344i
\(71\) 1.84257e7 0.725087 0.362543 0.931967i \(-0.381908\pi\)
0.362543 + 0.931967i \(0.381908\pi\)
\(72\) −3.47626e6 3.47626e6i −0.129355 0.129355i
\(73\) 2.45702e7 2.45702e7i 0.865203 0.865203i −0.126734 0.991937i \(-0.540449\pi\)
0.991937 + 0.126734i \(0.0404494\pi\)
\(74\) 2.57144e7i 0.857532i
\(75\) 1.80249e7 + 1.25789e7i 0.569676 + 0.397555i
\(76\) −2.26020e7 −0.677475
\(77\) 1.96452e6 + 1.96452e6i 0.0558847 + 0.0558847i
\(78\) −1.96609e7 + 1.96609e7i −0.531160 + 0.531160i
\(79\) 2.17799e7i 0.559176i −0.960120 0.279588i \(-0.909802\pi\)
0.960120 0.279588i \(-0.0901978\pi\)
\(80\) 6.57596e6 7.84948e6i 0.160546 0.191638i
\(81\) 9.24891e6 0.214857
\(82\) 2.89820e7 + 2.89820e7i 0.641023 + 0.641023i
\(83\) 4.00189e6 4.00189e6i 0.0843242 0.0843242i −0.663687 0.748011i \(-0.731009\pi\)
0.748011 + 0.663687i \(0.231009\pi\)
\(84\) 1.47130e6i 0.0295519i
\(85\) −4.35741e6 + 384685.i −0.0834744 + 0.00736936i
\(86\) −9.20921e6 −0.168356
\(87\) −5.73617e6 5.73617e6i −0.100126 0.100126i
\(88\) −1.39267e7 + 1.39267e7i −0.232229 + 0.232229i
\(89\) 6.14525e7i 0.979444i 0.871879 + 0.489722i \(0.162902\pi\)
−0.871879 + 0.489722i \(0.837098\pi\)
\(90\) −2.11100e6 2.39118e7i −0.0321750 0.364453i
\(91\) 8.92209e6 0.130107
\(92\) −2.93737e7 2.93737e7i −0.410022 0.410022i
\(93\) −6.00686e7 + 6.00686e7i −0.803001 + 0.803001i
\(94\) 4.97898e7i 0.637718i
\(95\) −8.45978e7 7.08724e7i −1.03864 0.870127i
\(96\) 1.04303e7 0.122803
\(97\) 1.55814e7 + 1.55814e7i 0.176003 + 0.176003i 0.789611 0.613608i \(-0.210282\pi\)
−0.613608 + 0.789611i \(0.710282\pi\)
\(98\) 4.57846e7 4.57846e7i 0.496381 0.496381i
\(99\) 4.61701e7i 0.480640i
\(100\) 4.92266e7 8.76002e6i 0.492266 0.0876002i
\(101\) 3.55113e7 0.341257 0.170629 0.985335i \(-0.445420\pi\)
0.170629 + 0.985335i \(0.445420\pi\)
\(102\) −3.15061e6 3.15061e6i −0.0291068 0.0291068i
\(103\) 2.91511e7 2.91511e7i 0.259004 0.259004i −0.565645 0.824649i \(-0.691373\pi\)
0.824649 + 0.565645i \(0.191373\pi\)
\(104\) 6.32497e7i 0.540661i
\(105\) 4.61351e6 5.50698e6i 0.0379555 0.0453061i
\(106\) 1.30690e8 1.03519
\(107\) −9.89754e7 9.89754e7i −0.755079 0.755079i 0.220344 0.975422i \(-0.429282\pi\)
−0.975422 + 0.220344i \(0.929282\pi\)
\(108\) 5.07038e7 5.07038e7i 0.372688 0.372688i
\(109\) 3.08220e7i 0.218351i −0.994022 0.109176i \(-0.965179\pi\)
0.994022 0.109176i \(-0.0348211\pi\)
\(110\) −9.57960e7 + 8.45715e6i −0.654299 + 0.0577635i
\(111\) 1.27892e8 0.842461
\(112\) −2.36661e6 2.36661e6i −0.0150403 0.0150403i
\(113\) −6.07746e7 + 6.07746e7i −0.372742 + 0.372742i −0.868475 0.495733i \(-0.834900\pi\)
0.495733 + 0.868475i \(0.334900\pi\)
\(114\) 1.12412e8i 0.665569i
\(115\) −1.78375e7 2.02049e8i −0.101987 1.15522i
\(116\) −1.84534e7 −0.101917
\(117\) 1.04844e8 + 1.04844e8i 0.559498 + 0.559498i
\(118\) −1.23924e8 + 1.23924e8i −0.639187 + 0.639187i
\(119\) 1.42974e6i 0.00712967i
\(120\) 3.90396e7 + 3.27057e7i 0.188270 + 0.157724i
\(121\) −2.93911e7 −0.137111
\(122\) −1.54150e8 1.54150e8i −0.695833 0.695833i
\(123\) −1.44143e8 + 1.44143e8i −0.629758 + 0.629758i
\(124\) 1.93243e8i 0.817365i
\(125\) 2.11720e8 + 1.21570e8i 0.867205 + 0.497951i
\(126\) −7.84586e6 −0.0311285
\(127\) 1.95509e8 + 1.95509e8i 0.751539 + 0.751539i 0.974766 0.223228i \(-0.0716593\pi\)
−0.223228 + 0.974766i \(0.571659\pi\)
\(128\) 1.67772e7 1.67772e7i 0.0625000 0.0625000i
\(129\) 4.58023e7i 0.165397i
\(130\) −1.98330e8 + 2.36739e8i −0.694408 + 0.828889i
\(131\) −3.40141e8 −1.15498 −0.577489 0.816399i \(-0.695967\pi\)
−0.577489 + 0.816399i \(0.695967\pi\)
\(132\) −6.92649e7 6.92649e7i −0.228148 0.228148i
\(133\) −2.55062e7 + 2.55062e7i −0.0815152 + 0.0815152i
\(134\) 1.60121e8i 0.496624i
\(135\) 3.48771e8 3.07905e7i 1.05004 0.0927004i
\(136\) −1.01356e7 −0.0296274
\(137\) −9.80014e7 9.80014e7i −0.278196 0.278196i 0.554193 0.832388i \(-0.313027\pi\)
−0.832388 + 0.554193i \(0.813027\pi\)
\(138\) 1.46091e8 1.46091e8i 0.402816 0.402816i
\(139\) 3.51491e8i 0.941576i −0.882246 0.470788i \(-0.843970\pi\)
0.882246 0.470788i \(-0.156030\pi\)
\(140\) −1.43715e6 1.62790e7i −0.00374103 0.0423755i
\(141\) −2.47631e8 −0.626511
\(142\) 1.47405e8 + 1.47405e8i 0.362543 + 0.362543i
\(143\) 4.20027e8 4.20027e8i 1.00446 1.00446i
\(144\) 5.56202e7i 0.129355i
\(145\) −6.90698e7 5.78637e7i −0.156249 0.130898i
\(146\) 3.93124e8 0.865203
\(147\) 2.27711e8 + 2.27711e8i 0.487657 + 0.487657i
\(148\) 2.05715e8 2.05715e8i 0.428766 0.428766i
\(149\) 1.71452e8i 0.347855i −0.984758 0.173927i \(-0.944354\pi\)
0.984758 0.173927i \(-0.0556458\pi\)
\(150\) 4.35682e7 + 2.44830e8i 0.0860607 + 0.483615i
\(151\) −4.23728e8 −0.815042 −0.407521 0.913196i \(-0.633607\pi\)
−0.407521 + 0.913196i \(0.633607\pi\)
\(152\) −1.80816e8 1.80816e8i −0.338738 0.338738i
\(153\) −1.68009e7 + 1.68009e7i −0.0306596 + 0.0306596i
\(154\) 3.14323e7i 0.0558847i
\(155\) −6.05943e8 + 7.23292e8i −1.04980 + 1.25310i
\(156\) −3.14575e8 −0.531160
\(157\) 4.05135e6 + 4.05135e6i 0.00666808 + 0.00666808i 0.710433 0.703765i \(-0.248499\pi\)
−0.703765 + 0.710433i \(0.748499\pi\)
\(158\) 1.74240e8 1.74240e8i 0.279588 0.279588i
\(159\) 6.49991e8i 1.01699i
\(160\) 1.15404e8 1.01882e7i 0.176092 0.0155459i
\(161\) −6.62957e7 −0.0986693
\(162\) 7.39913e7 + 7.39913e7i 0.107429 + 0.107429i
\(163\) −1.89503e8 + 1.89503e8i −0.268451 + 0.268451i −0.828476 0.560025i \(-0.810792\pi\)
0.560025 + 0.828476i \(0.310792\pi\)
\(164\) 4.63713e8i 0.641023i
\(165\) −4.20619e7 4.76444e8i −0.0567483 0.642801i
\(166\) 6.40302e7 0.0843242
\(167\) 5.58235e8 + 5.58235e8i 0.717714 + 0.717714i 0.968137 0.250423i \(-0.0805696\pi\)
−0.250423 + 0.968137i \(0.580570\pi\)
\(168\) 1.17704e7 1.17704e7i 0.0147759 0.0147759i
\(169\) 1.09187e9i 1.33852i
\(170\) −3.79368e7 3.17818e7i −0.0454219 0.0380525i
\(171\) −5.99447e8 −0.701078
\(172\) −7.36737e7 7.36737e7i −0.0841780 0.0841780i
\(173\) −1.00283e8 + 1.00283e8i −0.111955 + 0.111955i −0.760865 0.648910i \(-0.775225\pi\)
0.648910 + 0.760865i \(0.275225\pi\)
\(174\) 9.17787e7i 0.100126i
\(175\) 4.56662e7 6.54373e7i 0.0486903 0.0697708i
\(176\) −2.22827e8 −0.232229
\(177\) −6.16341e8 6.16341e8i −0.627954 0.627954i
\(178\) −4.91620e8 + 4.91620e8i −0.489722 + 0.489722i
\(179\) 8.62971e8i 0.840590i 0.907388 + 0.420295i \(0.138073\pi\)
−0.907388 + 0.420295i \(0.861927\pi\)
\(180\) 1.74406e8 2.08182e8i 0.166139 0.198314i
\(181\) 1.76106e9 1.64081 0.820407 0.571780i \(-0.193747\pi\)
0.820407 + 0.571780i \(0.193747\pi\)
\(182\) 7.13767e7 + 7.13767e7i 0.0650535 + 0.0650535i
\(183\) 7.66671e8 7.66671e8i 0.683604 0.683604i
\(184\) 4.69979e8i 0.410022i
\(185\) 1.41503e9 1.24923e8i 1.20803 0.106649i
\(186\) −9.61098e8 −0.803001
\(187\) 6.73082e7 + 6.73082e7i 0.0550429 + 0.0550429i
\(188\) −3.98318e8 + 3.98318e8i −0.318859 + 0.318859i
\(189\) 1.14437e8i 0.0896852i
\(190\) −1.09803e8 1.24376e9i −0.0842557 0.954383i
\(191\) 2.10501e9 1.58169 0.790843 0.612019i \(-0.209642\pi\)
0.790843 + 0.612019i \(0.209642\pi\)
\(192\) 8.34420e7 + 8.34420e7i 0.0614016 + 0.0614016i
\(193\) −1.38679e9 + 1.38679e9i −0.999496 + 0.999496i −1.00000 0.000504122i \(-0.999840\pi\)
0.000504122 1.00000i \(0.499840\pi\)
\(194\) 2.49302e8i 0.176003i
\(195\) −1.17743e9 9.86400e8i −0.814322 0.682204i
\(196\) 7.32553e8 0.496381
\(197\) −1.65638e9 1.65638e9i −1.09976 1.09976i −0.994439 0.105317i \(-0.966414\pi\)
−0.105317 0.994439i \(-0.533586\pi\)
\(198\) −3.69361e8 + 3.69361e8i −0.240320 + 0.240320i
\(199\) 2.74335e8i 0.174932i 0.996168 + 0.0874659i \(0.0278769\pi\)
−0.996168 + 0.0874659i \(0.972123\pi\)
\(200\) 4.63893e8 + 3.23733e8i 0.289933 + 0.202333i
\(201\) 7.96364e8 0.487896
\(202\) 2.84091e8 + 2.84091e8i 0.170629 + 0.170629i
\(203\) −2.08245e7 + 2.08245e7i −0.0122628 + 0.0122628i
\(204\) 5.04097e7i 0.0291068i
\(205\) −1.45405e9 + 1.73564e9i −0.823309 + 0.982753i
\(206\) 4.66417e8 0.259004
\(207\) −7.79042e8 7.79042e8i −0.424306 0.424306i
\(208\) −5.05998e8 + 5.05998e8i −0.270331 + 0.270331i
\(209\) 2.40152e9i 1.25864i
\(210\) 8.09639e7 7.14773e6i 0.0416308 0.00367529i
\(211\) −1.58670e9 −0.800506 −0.400253 0.916405i \(-0.631078\pi\)
−0.400253 + 0.916405i \(0.631078\pi\)
\(212\) 1.04552e9 + 1.04552e9i 0.517594 + 0.517594i
\(213\) −7.33125e8 + 7.33125e8i −0.356172 + 0.356172i
\(214\) 1.58361e9i 0.755079i
\(215\) −4.47392e7 5.06771e8i −0.0209380 0.237169i
\(216\) 8.11261e8 0.372688
\(217\) 2.18072e8 + 2.18072e8i 0.0983471 + 0.0983471i
\(218\) 2.46576e8 2.46576e8i 0.109176 0.109176i
\(219\) 1.95521e9i 0.849998i
\(220\) −8.34025e8 6.98711e8i −0.356031 0.298268i
\(221\) 3.05688e8 0.128147
\(222\) 1.02313e9 + 1.02313e9i 0.421231 + 0.421231i
\(223\) 2.50984e9 2.50984e9i 1.01491 1.01491i 0.0150215 0.999887i \(-0.495218\pi\)
0.999887 0.0150215i \(-0.00478167\pi\)
\(224\) 3.78658e7i 0.0150403i
\(225\) 1.30558e9 2.32331e8i 0.509417 0.0906521i
\(226\) −9.72394e8 −0.372742
\(227\) −1.53379e9 1.53379e9i −0.577645 0.577645i 0.356609 0.934254i \(-0.383933\pi\)
−0.934254 + 0.356609i \(0.883933\pi\)
\(228\) 8.99296e8 8.99296e8i 0.332785 0.332785i
\(229\) 1.85362e9i 0.674031i −0.941499 0.337015i \(-0.890583\pi\)
0.941499 0.337015i \(-0.109417\pi\)
\(230\) 1.47369e9 1.75909e9i 0.526618 0.628605i
\(231\) −1.56329e8 −0.0549026
\(232\) −1.47627e8 1.47627e8i −0.0509583 0.0509583i
\(233\) 7.16513e8 7.16513e8i 0.243109 0.243109i −0.575026 0.818135i \(-0.695008\pi\)
0.818135 + 0.575026i \(0.195008\pi\)
\(234\) 1.67750e9i 0.559498i
\(235\) −2.73987e9 + 2.41884e8i −0.898376 + 0.0793113i
\(236\) −1.98279e9 −0.639187
\(237\) 8.66586e8 + 8.66586e8i 0.274674 + 0.274674i
\(238\) −1.14379e7 + 1.14379e7i −0.00356483 + 0.00356483i
\(239\) 3.15340e9i 0.966467i −0.875492 0.483233i \(-0.839462\pi\)
0.875492 0.483233i \(-0.160538\pi\)
\(240\) 5.06712e7 + 5.73963e8i 0.0152727 + 0.172997i
\(241\) 1.08337e9 0.321152 0.160576 0.987023i \(-0.448665\pi\)
0.160576 + 0.987023i \(0.448665\pi\)
\(242\) −2.35128e8 2.35128e8i −0.0685557 0.0685557i
\(243\) 2.23097e9 2.23097e9i 0.639835 0.639835i
\(244\) 2.46640e9i 0.695833i
\(245\) 2.74189e9 + 2.29704e9i 0.761002 + 0.637535i
\(246\) −2.30629e9 −0.629758
\(247\) 5.45339e9 + 5.45339e9i 1.46514 + 1.46514i
\(248\) −1.54594e9 + 1.54594e9i −0.408683 + 0.408683i
\(249\) 3.18456e8i 0.0828423i
\(250\) 7.21200e8 + 2.66632e9i 0.184627 + 0.682578i
\(251\) −6.99442e9 −1.76221 −0.881103 0.472925i \(-0.843198\pi\)
−0.881103 + 0.472925i \(0.843198\pi\)
\(252\) −6.27669e7 6.27669e7i −0.0155643 0.0155643i
\(253\) −3.12102e9 + 3.12102e9i −0.761753 + 0.761753i
\(254\) 3.12814e9i 0.751539i
\(255\) 1.58068e8 1.88680e8i 0.0373838 0.0446236i
\(256\) 2.68435e8 0.0625000
\(257\) −2.42952e8 2.42952e8i −0.0556914 0.0556914i 0.678713 0.734404i \(-0.262538\pi\)
−0.734404 + 0.678713i \(0.762538\pi\)
\(258\) 3.66418e8 3.66418e8i 0.0826987 0.0826987i
\(259\) 4.64296e8i 0.103180i
\(260\) −3.48055e9 + 3.07273e8i −0.761648 + 0.0672406i
\(261\) −4.89418e8 −0.105467
\(262\) −2.72113e9 2.72113e9i −0.577489 0.577489i
\(263\) 1.31782e9 1.31782e9i 0.275445 0.275445i −0.555843 0.831287i \(-0.687604\pi\)
0.831287 + 0.555843i \(0.187604\pi\)
\(264\) 1.10824e9i 0.228148i
\(265\) 6.34905e8 + 7.19170e9i 0.128743 + 1.45830i
\(266\) −4.08099e8 −0.0815152
\(267\) −2.44509e9 2.44509e9i −0.481115 0.481115i
\(268\) 1.28096e9 1.28096e9i 0.248312 0.248312i
\(269\) 8.21589e9i 1.56908i −0.620077 0.784541i \(-0.712899\pi\)
0.620077 0.784541i \(-0.287101\pi\)
\(270\) 3.03649e9 + 2.54384e9i 0.571369 + 0.478668i
\(271\) 7.16847e9 1.32908 0.664538 0.747255i \(-0.268629\pi\)
0.664538 + 0.747255i \(0.268629\pi\)
\(272\) −8.10848e7 8.10848e7i −0.0148137 0.0148137i
\(273\) −3.54994e8 + 3.54994e8i −0.0639103 + 0.0639103i
\(274\) 1.56802e9i 0.278196i
\(275\) −9.30772e8 5.23044e9i −0.162747 0.914550i
\(276\) 2.33745e9 0.402816
\(277\) 1.02569e9 + 1.02569e9i 0.174219 + 0.174219i 0.788830 0.614611i \(-0.210687\pi\)
−0.614611 + 0.788830i \(0.710687\pi\)
\(278\) 2.81193e9 2.81193e9i 0.470788 0.470788i
\(279\) 5.12514e9i 0.845841i
\(280\) 1.18734e8 1.41729e8i 0.0193172 0.0230583i
\(281\) −6.99805e9 −1.12241 −0.561205 0.827677i \(-0.689662\pi\)
−0.561205 + 0.827677i \(0.689662\pi\)
\(282\) −1.98105e9 1.98105e9i −0.313256 0.313256i
\(283\) −5.65931e8 + 5.65931e8i −0.0882302 + 0.0882302i −0.749844 0.661614i \(-0.769872\pi\)
0.661614 + 0.749844i \(0.269872\pi\)
\(284\) 2.35849e9i 0.362543i
\(285\) 6.18589e9 5.46108e8i 0.937610 0.0827750i
\(286\) 6.72043e9 1.00446
\(287\) 5.23295e8 + 5.23295e8i 0.0771292 + 0.0771292i
\(288\) 4.44962e8 4.44962e8i 0.0646774 0.0646774i
\(289\) 6.92677e9i 0.992978i
\(290\) −8.96485e7 1.01547e9i −0.0126751 0.143573i
\(291\) −1.23991e9 −0.172910
\(292\) 3.14499e9 + 3.14499e9i 0.432602 + 0.432602i
\(293\) −4.98809e9 + 4.98809e9i −0.676805 + 0.676805i −0.959276 0.282471i \(-0.908846\pi\)
0.282471 + 0.959276i \(0.408846\pi\)
\(294\) 3.64338e9i 0.487657i
\(295\) −7.42142e9 6.21735e9i −0.979939 0.820951i
\(296\) 3.29145e9 0.428766
\(297\) −5.38739e9 5.38739e9i −0.692393 0.692393i
\(298\) 1.37162e9 1.37162e9i 0.173927 0.173927i
\(299\) 1.41745e10i 1.77346i
\(300\) −1.61010e9 + 2.30719e9i −0.198777 + 0.284838i
\(301\) −1.66280e8 −0.0202569
\(302\) −3.38983e9 3.38983e9i −0.407521 0.407521i
\(303\) −1.41293e9 + 1.41293e9i −0.167630 + 0.167630i
\(304\) 2.89306e9i 0.338738i
\(305\) 7.73381e9 9.23156e9i 0.893705 1.06678i
\(306\) −2.68814e8 −0.0306596
\(307\) 1.00289e10 + 1.00289e10i 1.12901 + 1.12901i 0.990338 + 0.138672i \(0.0442833\pi\)
0.138672 + 0.990338i \(0.455717\pi\)
\(308\) −2.51458e8 + 2.51458e8i −0.0279423 + 0.0279423i
\(309\) 2.31974e9i 0.254452i
\(310\) −1.06339e10 + 9.38791e8i −1.15145 + 0.101653i
\(311\) −6.55125e9 −0.700298 −0.350149 0.936694i \(-0.613869\pi\)
−0.350149 + 0.936694i \(0.613869\pi\)
\(312\) −2.51660e9 2.51660e9i −0.265580 0.265580i
\(313\) −2.50993e9 + 2.50993e9i −0.261508 + 0.261508i −0.825666 0.564159i \(-0.809201\pi\)
0.564159 + 0.825666i \(0.309201\pi\)
\(314\) 6.48215e7i 0.00666808i
\(315\) −3.81159e7 4.31747e8i −0.00387137 0.0438518i
\(316\) 2.78783e9 0.279588
\(317\) 4.00611e9 + 4.00611e9i 0.396721 + 0.396721i 0.877075 0.480354i \(-0.159492\pi\)
−0.480354 + 0.877075i \(0.659492\pi\)
\(318\) −5.19993e9 + 5.19993e9i −0.508497 + 0.508497i
\(319\) 1.96072e9i 0.189344i
\(320\) 1.00473e9 + 8.41723e8i 0.0958189 + 0.0802730i
\(321\) 7.87612e9 0.741809
\(322\) −5.30366e8 5.30366e8i −0.0493347 0.0493347i
\(323\) −8.73891e8 + 8.73891e8i −0.0802874 + 0.0802874i
\(324\) 1.18386e9i 0.107429i
\(325\) −1.39909e10 9.76373e9i −1.25405 0.875150i
\(326\) −3.03204e9 −0.268451
\(327\) 1.22636e9 + 1.22636e9i 0.107257 + 0.107257i
\(328\) −3.70970e9 + 3.70970e9i −0.320511 + 0.320511i
\(329\) 8.98996e8i 0.0767316i
\(330\) 3.47506e9 4.14805e9i 0.293026 0.349775i
\(331\) 1.60673e10 1.33854 0.669271 0.743018i \(-0.266606\pi\)
0.669271 + 0.743018i \(0.266606\pi\)
\(332\) 5.12241e8 + 5.12241e8i 0.0421621 + 0.0421621i
\(333\) 5.45594e9 5.45594e9i 0.443704 0.443704i
\(334\) 8.93176e9i 0.717714i
\(335\) 8.81122e9 7.77881e8i 0.699611 0.0617638i
\(336\) 1.88327e8 0.0147759
\(337\) −1.41455e10 1.41455e10i −1.09673 1.09673i −0.994791 0.101938i \(-0.967496\pi\)
−0.101938 0.994791i \(-0.532504\pi\)
\(338\) 8.73497e9 8.73497e9i 0.669259 0.669259i
\(339\) 4.83623e9i 0.366192i
\(340\) −4.92397e7 5.57749e8i −0.00368468 0.0417372i
\(341\) 2.05325e10 1.51853
\(342\) −4.79558e9 4.79558e9i −0.350539 0.350539i
\(343\) 1.65939e9 1.65939e9i 0.119887 0.119887i
\(344\) 1.17878e9i 0.0841780i
\(345\) 8.74891e9 + 7.32946e9i 0.617558 + 0.517364i
\(346\) −1.60453e9 −0.111955
\(347\) 6.70725e8 + 6.70725e8i 0.0462622 + 0.0462622i 0.729859 0.683597i \(-0.239585\pi\)
−0.683597 + 0.729859i \(0.739585\pi\)
\(348\) 7.34229e8 7.34229e8i 0.0500628 0.0500628i
\(349\) 1.51291e10i 1.01979i −0.860236 0.509896i \(-0.829684\pi\)
0.860236 0.509896i \(-0.170316\pi\)
\(350\) 8.88828e8 1.58169e8i 0.0592305 0.0105402i
\(351\) −2.44675e10 −1.61198
\(352\) −1.78262e9 1.78262e9i −0.116115 0.116115i
\(353\) −3.57220e9 + 3.57220e9i −0.230058 + 0.230058i −0.812717 0.582659i \(-0.802012\pi\)
0.582659 + 0.812717i \(0.302012\pi\)
\(354\) 9.86145e9i 0.627954i
\(355\) −7.39541e9 + 8.82763e9i −0.465639 + 0.555816i
\(356\) −7.86592e9 −0.489722
\(357\) −5.68869e7 5.68869e7i −0.00350219 0.00350219i
\(358\) −6.90377e9 + 6.90377e9i −0.420295 + 0.420295i
\(359\) 1.30385e10i 0.784963i 0.919760 + 0.392482i \(0.128383\pi\)
−0.919760 + 0.392482i \(0.871617\pi\)
\(360\) 3.06071e9 2.70208e8i 0.182227 0.0160875i
\(361\) −1.41964e10 −0.835891
\(362\) 1.40885e10 + 1.40885e10i 0.820407 + 0.820407i
\(363\) 1.16942e9 1.16942e9i 0.0673509 0.0673509i
\(364\) 1.14203e9i 0.0650535i
\(365\) 1.90983e9 + 2.16331e10i 0.107603 + 1.21884i
\(366\) 1.22667e10 0.683604
\(367\) −2.24627e9 2.24627e9i −0.123822 0.123822i 0.642480 0.766302i \(-0.277906\pi\)
−0.766302 + 0.642480i \(0.777906\pi\)
\(368\) 3.75983e9 3.75983e9i 0.205011 0.205011i
\(369\) 1.22985e10i 0.663356i
\(370\) 1.23196e10 + 1.03209e10i 0.657342 + 0.550693i
\(371\) 2.35972e9 0.124556
\(372\) −7.68879e9 7.68879e9i −0.401500 0.401500i
\(373\) −1.21704e10 + 1.21704e10i −0.628736 + 0.628736i −0.947750 0.319014i \(-0.896648\pi\)
0.319014 + 0.947750i \(0.396648\pi\)
\(374\) 1.07693e9i 0.0550429i
\(375\) −1.32610e10 + 3.58691e9i −0.670582 + 0.181383i
\(376\) −6.37309e9 −0.318859
\(377\) 4.45242e9 + 4.45242e9i 0.220410 + 0.220410i
\(378\) 9.15500e8 9.15500e8i 0.0448426 0.0448426i
\(379\) 3.40471e10i 1.65015i −0.565024 0.825075i \(-0.691133\pi\)
0.565024 0.825075i \(-0.308867\pi\)
\(380\) 9.07167e9 1.08285e10i 0.435064 0.519319i
\(381\) −1.55579e10 −0.738331
\(382\) 1.68401e10 + 1.68401e10i 0.790843 + 0.790843i
\(383\) 7.51136e9 7.51136e9i 0.349079 0.349079i −0.510687 0.859766i \(-0.670609\pi\)
0.859766 + 0.510687i \(0.170609\pi\)
\(384\) 1.33507e9i 0.0614016i
\(385\) −1.72968e9 + 1.52701e8i −0.0787267 + 0.00695022i
\(386\) −2.21886e10 −0.999496
\(387\) −1.95396e9 1.95396e9i −0.0871107 0.0871107i
\(388\) −1.99442e9 + 1.99442e9i −0.0880014 + 0.0880014i
\(389\) 9.40651e9i 0.410800i −0.978678 0.205400i \(-0.934150\pi\)
0.978678 0.205400i \(-0.0658495\pi\)
\(390\) −1.52823e9 1.73106e10i −0.0660589 0.748263i
\(391\) −2.27142e9 −0.0971831
\(392\) 5.86043e9 + 5.86043e9i 0.248190 + 0.248190i
\(393\) 1.35336e10 1.35336e10i 0.567340 0.567340i
\(394\) 2.65021e10i 1.09976i
\(395\) 1.04346e10 + 8.74170e9i 0.428637 + 0.359093i
\(396\) −5.90977e9 −0.240320
\(397\) 9.53889e9 + 9.53889e9i 0.384004 + 0.384004i 0.872542 0.488538i \(-0.162470\pi\)
−0.488538 + 0.872542i \(0.662470\pi\)
\(398\) −2.19468e9 + 2.19468e9i −0.0874659 + 0.0874659i
\(399\) 2.02969e9i 0.0800827i
\(400\) 1.12128e9 + 6.30101e9i 0.0438001 + 0.246133i
\(401\) 1.29102e10 0.499293 0.249646 0.968337i \(-0.419686\pi\)
0.249646 + 0.968337i \(0.419686\pi\)
\(402\) 6.37092e9 + 6.37092e9i 0.243948 + 0.243948i
\(403\) 4.66253e10 4.66253e10i 1.76767 1.76767i
\(404\) 4.54545e9i 0.170629i
\(405\) −3.71219e9 + 4.43110e9i −0.137978 + 0.164699i
\(406\) −3.33192e8 −0.0122628
\(407\) −2.18577e10 2.18577e10i −0.796577 0.796577i
\(408\) 4.03278e8 4.03278e8i 0.0145534 0.0145534i
\(409\) 3.89504e10i 1.39194i 0.718073 + 0.695968i \(0.245024\pi\)
−0.718073 + 0.695968i \(0.754976\pi\)
\(410\) −2.55175e10 + 2.25276e9i −0.903031 + 0.0797222i
\(411\) 7.79861e9 0.273307
\(412\) 3.73134e9 + 3.73134e9i 0.129502 + 0.129502i
\(413\) −2.23755e9 + 2.23755e9i −0.0769083 + 0.0769083i
\(414\) 1.24647e10i 0.424306i
\(415\) 3.11065e8 + 3.52350e9i 0.0104872 + 0.118790i
\(416\) −8.09597e9 −0.270331
\(417\) 1.39852e10 + 1.39852e10i 0.462514 + 0.462514i
\(418\) −1.92121e10 + 1.92121e10i −0.629319 + 0.629319i
\(419\) 6.53853e9i 0.212141i 0.994359 + 0.106070i \(0.0338269\pi\)
−0.994359 + 0.106070i \(0.966173\pi\)
\(420\) 7.04893e8 + 5.90530e8i 0.0226530 + 0.0189777i
\(421\) 1.36111e10 0.433277 0.216638 0.976252i \(-0.430491\pi\)
0.216638 + 0.976252i \(0.430491\pi\)
\(422\) −1.26936e10 1.26936e10i −0.400253 0.400253i
\(423\) −1.05641e10 + 1.05641e10i −0.329968 + 0.329968i
\(424\) 1.67283e10i 0.517594i
\(425\) 1.56461e9 2.24201e9i 0.0479569 0.0687198i
\(426\) −1.17300e10 −0.356172
\(427\) −2.78331e9 2.78331e9i −0.0837241 0.0837241i
\(428\) 1.26689e10 1.26689e10i 0.377539 0.377539i
\(429\) 3.34243e10i 0.986808i
\(430\) 3.69625e9 4.41208e9i 0.108115 0.129053i
\(431\) −2.81277e10 −0.815126 −0.407563 0.913177i \(-0.633621\pi\)
−0.407563 + 0.913177i \(0.633621\pi\)
\(432\) 6.49009e9 + 6.49009e9i 0.186344 + 0.186344i
\(433\) −2.09524e9 + 2.09524e9i −0.0596051 + 0.0596051i −0.736281 0.676676i \(-0.763420\pi\)
0.676676 + 0.736281i \(0.263420\pi\)
\(434\) 3.48916e9i 0.0983471i
\(435\) 5.05046e9 4.45869e8i 0.141050 0.0124523i
\(436\) 3.94522e9 0.109176
\(437\) −4.05215e10 4.05215e10i −1.11112 1.11112i
\(438\) −1.56417e10 + 1.56417e10i −0.424999 + 0.424999i
\(439\) 1.07942e10i 0.290623i −0.989386 0.145312i \(-0.953581\pi\)
0.989386 0.145312i \(-0.0464185\pi\)
\(440\) −1.08252e9 1.22619e10i −0.0288817 0.327150i
\(441\) 1.94286e10 0.513674
\(442\) 2.44550e9 + 2.44550e9i 0.0640736 + 0.0640736i
\(443\) −3.89099e10 + 3.89099e10i −1.01029 + 1.01029i −0.0103426 + 0.999947i \(0.503292\pi\)
−0.999947 + 0.0103426i \(0.996708\pi\)
\(444\) 1.63701e10i 0.421231i
\(445\) −2.94415e10 2.46649e10i −0.750793 0.628983i
\(446\) 4.01575e10 1.01491
\(447\) 6.82178e9 + 6.82178e9i 0.170871 + 0.170871i
\(448\) 3.02927e8 3.02927e8i 0.00752013 0.00752013i
\(449\) 4.43789e9i 0.109192i −0.998509 0.0545961i \(-0.982613\pi\)
0.998509 0.0545961i \(-0.0173871\pi\)
\(450\) 1.23033e10 + 8.58598e9i 0.300034 + 0.209382i
\(451\) 4.92705e10 1.19092
\(452\) −7.77915e9 7.77915e9i −0.186371 0.186371i
\(453\) 1.68594e10 1.68594e10i 0.400359 0.400359i
\(454\) 2.45406e10i 0.577645i
\(455\) −3.58101e9 + 4.27452e9i −0.0835526 + 0.0997337i
\(456\) 1.43887e10 0.332785
\(457\) 1.68505e10 + 1.68505e10i 0.386321 + 0.386321i 0.873373 0.487052i \(-0.161928\pi\)
−0.487052 + 0.873373i \(0.661928\pi\)
\(458\) 1.48290e10 1.48290e10i 0.337015 0.337015i
\(459\) 3.92085e9i 0.0883343i
\(460\) 2.58623e10 2.28320e9i 0.577612 0.0509933i
\(461\) 3.57328e10 0.791158 0.395579 0.918432i \(-0.370544\pi\)
0.395579 + 0.918432i \(0.370544\pi\)
\(462\) −1.25063e9 1.25063e9i −0.0274513 0.0274513i
\(463\) −6.28237e10 + 6.28237e10i −1.36710 + 1.36710i −0.502547 + 0.864550i \(0.667603\pi\)
−0.864550 + 0.502547i \(0.832397\pi\)
\(464\) 2.36204e9i 0.0509583i
\(465\) −4.66911e9 5.28880e10i −0.0998670 1.13121i
\(466\) 1.14642e10 0.243109
\(467\) −2.40702e10 2.40702e10i −0.506071 0.506071i 0.407247 0.913318i \(-0.366489\pi\)
−0.913318 + 0.407247i \(0.866489\pi\)
\(468\) −1.34200e10 + 1.34200e10i −0.279749 + 0.279749i
\(469\) 2.89111e9i 0.0597548i
\(470\) −2.38540e10 1.99839e10i −0.488844 0.409532i
\(471\) −3.22392e8 −0.00655089
\(472\) −1.58623e10 1.58623e10i −0.319594 0.319594i
\(473\) −7.82799e9 + 7.82799e9i −0.156389 + 0.156389i
\(474\) 1.38654e10i 0.274674i
\(475\) 6.79091e10 1.20846e10i 1.33399 0.237388i
\(476\) −1.83007e8 −0.00356483
\(477\) 2.77291e10 + 2.77291e10i 0.535626 + 0.535626i
\(478\) 2.52272e10 2.52272e10i 0.483233 0.483233i
\(479\) 6.79331e10i 1.29044i −0.763995 0.645222i \(-0.776765\pi\)
0.763995 0.645222i \(-0.223235\pi\)
\(480\) −4.18634e9 + 4.99707e9i −0.0788622 + 0.0941349i
\(481\) −9.92695e10 −1.85454
\(482\) 8.66700e9 + 8.66700e9i 0.160576 + 0.160576i
\(483\) 2.63779e9 2.63779e9i 0.0484677 0.0484677i
\(484\) 3.76206e9i 0.0685557i
\(485\) −1.37188e10 + 1.21113e9i −0.247941 + 0.0218890i
\(486\) 3.56955e10 0.639835
\(487\) 9.43406e9 + 9.43406e9i 0.167719 + 0.167719i 0.785976 0.618257i \(-0.212161\pi\)
−0.618257 + 0.785976i \(0.712161\pi\)
\(488\) 1.97312e10 1.97312e10i 0.347916 0.347916i
\(489\) 1.50800e10i 0.263733i
\(490\) 3.55881e9 + 4.03114e10i 0.0617335 + 0.699269i
\(491\) 5.75323e10 0.989887 0.494943 0.868925i \(-0.335189\pi\)
0.494943 + 0.868925i \(0.335189\pi\)
\(492\) −1.84503e10 1.84503e10i −0.314879 0.314879i
\(493\) −7.13488e8 + 7.13488e8i −0.0120781 + 0.0120781i
\(494\) 8.72543e10i 1.46514i
\(495\) −2.21198e10 1.85311e10i −0.368435 0.308659i
\(496\) −2.47351e10 −0.408683
\(497\) 2.66153e9 + 2.66153e9i 0.0436220 + 0.0436220i
\(498\) −2.54765e9 + 2.54765e9i −0.0414211 + 0.0414211i
\(499\) 1.11776e11i 1.80280i 0.432988 + 0.901400i \(0.357459\pi\)
−0.432988 + 0.901400i \(0.642541\pi\)
\(500\) −1.55610e10 + 2.71002e10i −0.248975 + 0.433603i
\(501\) −4.44224e10 −0.705101
\(502\) −5.59553e10 5.59553e10i −0.881103 0.881103i
\(503\) −4.45397e10 + 4.45397e10i −0.695785 + 0.695785i −0.963499 0.267714i \(-0.913732\pi\)
0.267714 + 0.963499i \(0.413732\pi\)
\(504\) 1.00427e9i 0.0155643i
\(505\) −1.42530e10 + 1.70133e10i −0.219150 + 0.261591i
\(506\) −4.99363e10 −0.761753
\(507\) 4.34436e10 + 4.34436e10i 0.657498 + 0.657498i
\(508\) −2.50251e10 + 2.50251e10i −0.375769 + 0.375769i
\(509\) 2.54580e10i 0.379275i −0.981854 0.189637i \(-0.939269\pi\)
0.981854 0.189637i \(-0.0607312\pi\)
\(510\) 2.77398e9 2.44895e8i 0.0410037 0.00361993i
\(511\) 7.09818e9 0.104103
\(512\) 2.14748e9 + 2.14748e9i 0.0312500 + 0.0312500i
\(513\) 6.99469e10 6.99469e10i 1.00995 1.00995i
\(514\) 3.88723e9i 0.0556914i
\(515\) 2.26590e9 + 2.56663e10i 0.0322116 + 0.364867i
\(516\) 5.86269e9 0.0826987
\(517\) 4.23222e10 + 4.23222e10i 0.592388 + 0.592388i
\(518\) 3.71437e9 3.71437e9i 0.0515900 0.0515900i
\(519\) 7.98017e9i 0.109987i
\(520\) −3.03026e10 2.53862e10i −0.414445 0.347204i
\(521\) 7.42766e9 0.100809 0.0504047 0.998729i \(-0.483949\pi\)
0.0504047 + 0.998729i \(0.483949\pi\)
\(522\) −3.91534e9 3.91534e9i −0.0527336 0.0527336i
\(523\) 5.49185e10 5.49185e10i 0.734027 0.734027i −0.237388 0.971415i \(-0.576291\pi\)
0.971415 + 0.237388i \(0.0762913\pi\)
\(524\) 4.35380e10i 0.577489i
\(525\) 7.86661e8 + 4.42061e9i 0.0103550 + 0.0581896i
\(526\) 2.10852e10 0.275445
\(527\) 7.47158e9 + 7.47158e9i 0.0968657 + 0.0968657i
\(528\) 8.86590e9 8.86590e9i 0.114074 0.114074i
\(529\) 2.70127e10i 0.344942i
\(530\) −5.24544e10 + 6.26128e10i −0.664780 + 0.793524i
\(531\) −5.25871e10 −0.661456
\(532\) −3.26479e9 3.26479e9i −0.0407576 0.0407576i
\(533\) 1.11884e11 1.11884e11i 1.38631 1.38631i
\(534\) 3.91214e10i 0.481115i
\(535\) 8.71438e10 7.69331e9i 1.06371 0.0939071i
\(536\) 2.04954e10 0.248312
\(537\) −3.43361e10 3.43361e10i −0.412909 0.412909i
\(538\) 6.57271e10 6.57271e10i 0.784541 0.784541i
\(539\) 7.78354e10i 0.922194i
\(540\) 3.94118e9 + 4.46426e10i 0.0463502 + 0.525019i
\(541\) −1.34348e11 −1.56835 −0.784174 0.620540i \(-0.786913\pi\)
−0.784174 + 0.620540i \(0.786913\pi\)
\(542\) 5.73478e10 + 5.73478e10i 0.664538 + 0.664538i
\(543\) −7.00694e10 + 7.00694e10i −0.805989 + 0.805989i
\(544\) 1.29736e9i 0.0148137i
\(545\) 1.47667e10 + 1.23709e10i 0.167377 + 0.140222i
\(546\) −5.67991e9 −0.0639103
\(547\) −2.62302e10 2.62302e10i −0.292990 0.292990i 0.545271 0.838260i \(-0.316427\pi\)
−0.838260 + 0.545271i \(0.816427\pi\)
\(548\) 1.25442e10 1.25442e10i 0.139098 0.139098i
\(549\) 6.54135e10i 0.720075i
\(550\) 3.43974e10 4.92897e10i 0.375902 0.538648i
\(551\) −2.54569e10 −0.276184
\(552\) 1.86996e10 + 1.86996e10i 0.201408 + 0.201408i
\(553\) 3.14604e9 3.14604e9i 0.0336406 0.0336406i
\(554\) 1.64110e10i 0.174219i
\(555\) −5.13312e10 + 6.12721e10i −0.541015 + 0.645789i
\(556\) 4.49909e10 0.470788
\(557\) 1.10867e11 + 1.10867e11i 1.15181 + 1.15181i 0.986189 + 0.165621i \(0.0529629\pi\)
0.165621 + 0.986189i \(0.447037\pi\)
\(558\) −4.10011e10 + 4.10011e10i −0.422921 + 0.422921i
\(559\) 3.55518e10i 0.364094i
\(560\) 2.08371e9 1.83956e8i 0.0211877 0.00187052i
\(561\) −5.35615e9 −0.0540756
\(562\) −5.59844e10 5.59844e10i −0.561205 0.561205i
\(563\) −1.20925e11 + 1.20925e11i −1.20361 + 1.20361i −0.230543 + 0.973062i \(0.574050\pi\)
−0.973062 + 0.230543i \(0.925950\pi\)
\(564\) 3.16968e10i 0.313256i
\(565\) −4.72398e9 5.35096e10i −0.0463569 0.525095i
\(566\) −9.05489e9 −0.0882302
\(567\) 1.33597e9 + 1.33597e9i 0.0129260 + 0.0129260i
\(568\) −1.88679e10 + 1.88679e10i −0.181272 + 0.181272i
\(569\) 6.53746e10i 0.623677i 0.950135 + 0.311839i \(0.100945\pi\)
−0.950135 + 0.311839i \(0.899055\pi\)
\(570\) 5.38560e10 + 4.51182e10i 0.510193 + 0.427418i
\(571\) −5.53735e10 −0.520904 −0.260452 0.965487i \(-0.583872\pi\)
−0.260452 + 0.965487i \(0.583872\pi\)
\(572\) 5.37634e10 + 5.37634e10i 0.502230 + 0.502230i
\(573\) −8.37546e10 + 8.37546e10i −0.776945 + 0.776945i
\(574\) 8.37272e9i 0.0771292i
\(575\) 1.03960e11 + 7.25496e10i 0.951031 + 0.663688i
\(576\) 7.11939e9 0.0646774
\(577\) −5.29155e10 5.29155e10i −0.477397 0.477397i 0.426901 0.904298i \(-0.359605\pi\)
−0.904298 + 0.426901i \(0.859605\pi\)
\(578\) 5.54142e10 5.54142e10i 0.496489 0.496489i
\(579\) 1.10356e11i 0.981931i
\(580\) 7.40655e9 8.84093e9i 0.0654492 0.0781243i
\(581\) 1.15612e9 0.0101461
\(582\) −9.91931e9 9.91931e9i −0.0864549 0.0864549i
\(583\) 1.11089e11 1.11089e11i 0.961604 0.961604i
\(584\) 5.03199e10i 0.432602i
\(585\) −9.23105e10 + 8.14944e9i −0.788184 + 0.0695832i
\(586\) −7.98094e10 −0.676805
\(587\) −1.57769e11 1.57769e11i −1.32883 1.32883i −0.906389 0.422445i \(-0.861172\pi\)
−0.422445 0.906389i \(-0.638828\pi\)
\(588\) −2.91470e10 + 2.91470e10i −0.243829 + 0.243829i
\(589\) 2.66582e11i 2.21498i
\(590\) −9.63257e9 1.09110e11i −0.0794939 0.900445i
\(591\) 1.31809e11 1.08043
\(592\) 2.63316e10 + 2.63316e10i 0.214383 + 0.214383i
\(593\) −3.09235e10 + 3.09235e10i −0.250075 + 0.250075i −0.821001 0.570927i \(-0.806584\pi\)
0.570927 + 0.821001i \(0.306584\pi\)
\(594\) 8.61983e10i 0.692393i
\(595\) −6.84980e8 5.73847e8i −0.00546525 0.00457856i
\(596\) 2.19459e10 0.173927
\(597\) −1.09153e10 1.09153e10i −0.0859288 0.0859288i
\(598\) −1.13396e11 + 1.13396e11i −0.886732 + 0.886732i
\(599\) 1.42432e11i 1.10637i −0.833059 0.553184i \(-0.813413\pi\)
0.833059 0.553184i \(-0.186587\pi\)
\(600\) −3.13383e10 + 5.57673e9i −0.241808 + 0.0430304i
\(601\) 9.37468e10 0.718553 0.359276 0.933231i \(-0.383024\pi\)
0.359276 + 0.933231i \(0.383024\pi\)
\(602\) −1.33024e9 1.33024e9i −0.0101285 0.0101285i
\(603\) 3.39735e10 3.39735e10i 0.256963 0.256963i
\(604\) 5.42372e10i 0.407521i
\(605\) 1.17965e10 1.40811e10i 0.0880507 0.105103i
\(606\) −2.26070e10 −0.167630
\(607\) −1.60965e10 1.60965e10i −0.118571 0.118571i 0.645332 0.763902i \(-0.276719\pi\)
−0.763902 + 0.645332i \(0.776719\pi\)
\(608\) 2.31445e10 2.31445e10i 0.169369 0.169369i
\(609\) 1.65714e9i 0.0120473i
\(610\) 1.35723e11 1.19820e10i 0.980244 0.0865388i
\(611\) 1.92211e11 1.37916
\(612\) −2.15052e9 2.15052e9i −0.0153298 0.0153298i
\(613\) 8.07997e10 8.07997e10i 0.572226 0.572226i −0.360524 0.932750i \(-0.617402\pi\)
0.932750 + 0.360524i \(0.117402\pi\)
\(614\) 1.60462e11i 1.12901i
\(615\) −1.12042e10 1.26912e11i −0.0783212 0.887161i
\(616\) −4.02333e9 −0.0279423
\(617\) 1.53536e11 + 1.53536e11i 1.05942 + 1.05942i 0.998119 + 0.0613041i \(0.0195260\pi\)
0.0613041 + 0.998119i \(0.480474\pi\)
\(618\) −1.85579e10 + 1.85579e10i −0.127226 + 0.127226i
\(619\) 4.56835e10i 0.311169i 0.987823 + 0.155585i \(0.0497261\pi\)
−0.987823 + 0.155585i \(0.950274\pi\)
\(620\) −9.25814e10 7.75608e10i −0.626552 0.524898i
\(621\) 1.81806e11 1.22248
\(622\) −5.24100e10 5.24100e10i −0.350149 0.350149i
\(623\) −8.87661e9 + 8.87661e9i −0.0589244 + 0.0589244i
\(624\) 4.02656e10i 0.265580i
\(625\) −1.43220e11 + 5.26399e10i −0.938610 + 0.344981i
\(626\) −4.01589e10 −0.261508
\(627\) −9.55522e10 9.55522e10i −0.618259 0.618259i
\(628\) −5.18572e8 + 5.18572e8i −0.00333404 + 0.00333404i
\(629\) 1.59077e10i 0.101626i
\(630\) 3.14905e9 3.75891e9i 0.0199902 0.0238616i
\(631\) 6.87475e10 0.433650 0.216825 0.976210i \(-0.430430\pi\)
0.216825 + 0.976210i \(0.430430\pi\)
\(632\) 2.23027e10 + 2.23027e10i 0.139794 + 0.139794i
\(633\) 6.31320e10 6.31320e10i 0.393219 0.393219i
\(634\) 6.40977e10i 0.396721i
\(635\) −1.72137e11 + 1.51968e10i −1.05872 + 0.0934668i
\(636\) −8.31988e10 −0.508497
\(637\) −1.76749e11 1.76749e11i −1.07350 1.07350i
\(638\) −1.56857e10 + 1.56857e10i −0.0946722 + 0.0946722i
\(639\) 6.25513e10i 0.375174i
\(640\) 1.30408e9 + 1.47717e10i 0.00777295 + 0.0880459i
\(641\) 9.51984e9 0.0563894 0.0281947 0.999602i \(-0.491024\pi\)
0.0281947 + 0.999602i \(0.491024\pi\)
\(642\) 6.30089e10 + 6.30089e10i 0.370904 + 0.370904i
\(643\) −9.40725e10 + 9.40725e10i −0.550325 + 0.550325i −0.926534 0.376210i \(-0.877227\pi\)
0.376210 + 0.926534i \(0.377227\pi\)
\(644\) 8.48585e9i 0.0493347i
\(645\) 2.19436e10 + 1.83834e10i 0.126785 + 0.106215i
\(646\) −1.39823e10 −0.0802874
\(647\) 1.03789e11 + 1.03789e11i 0.592289 + 0.592289i 0.938249 0.345960i \(-0.112447\pi\)
−0.345960 + 0.938249i \(0.612447\pi\)
\(648\) −9.47088e9 + 9.47088e9i −0.0537144 + 0.0537144i
\(649\) 2.10676e11i 1.18750i
\(650\) −3.38177e10 1.90037e11i −0.189448 1.06460i
\(651\) −1.73534e10 −0.0966187
\(652\) −2.42563e10 2.42563e10i −0.134225 0.134225i
\(653\) −1.14827e11 + 1.14827e11i −0.631527 + 0.631527i −0.948451 0.316924i \(-0.897350\pi\)
0.316924 + 0.948451i \(0.397350\pi\)
\(654\) 1.96217e10i 0.107257i
\(655\) 1.36521e11 1.62959e11i 0.741708 0.885349i
\(656\) −5.93552e10 −0.320511
\(657\) 8.34108e10 + 8.34108e10i 0.447673 + 0.447673i
\(658\) −7.19197e9 + 7.19197e9i −0.0383658 + 0.0383658i
\(659\) 1.16978e10i 0.0620246i 0.999519 + 0.0310123i \(0.00987310\pi\)
−0.999519 + 0.0310123i \(0.990127\pi\)
\(660\) 6.09849e10 5.38392e9i 0.321400 0.0283742i
\(661\) −1.06677e11 −0.558809 −0.279404 0.960174i \(-0.590137\pi\)
−0.279404 + 0.960174i \(0.590137\pi\)
\(662\) 1.28539e11 + 1.28539e11i 0.669271 + 0.669271i
\(663\) −1.21628e10 + 1.21628e10i −0.0629476 + 0.0629476i
\(664\) 8.19586e9i 0.0421621i
\(665\) −1.98258e9 2.24571e10i −0.0101378 0.114833i
\(666\) 8.72951e10 0.443704
\(667\) −3.30838e10 3.30838e10i −0.167152 0.167152i
\(668\) −7.14541e10 + 7.14541e10i −0.358857 + 0.358857i
\(669\) 1.99724e11i 0.997073i
\(670\) 7.67128e10 + 6.42667e10i 0.380688 + 0.318924i
\(671\) −2.62061e11 −1.29274
\(672\) 1.50662e9 + 1.50662e9i 0.00738797 + 0.00738797i
\(673\) 5.13966e10 5.13966e10i 0.250539 0.250539i −0.570653 0.821191i \(-0.693310\pi\)
0.821191 + 0.570653i \(0.193310\pi\)
\(674\) 2.26328e11i 1.09673i
\(675\) −1.25233e11 + 1.79452e11i −0.603257 + 0.864438i
\(676\) 1.39759e11 0.669259
\(677\) −2.46063e11 2.46063e11i −1.17136 1.17136i −0.981885 0.189479i \(-0.939320\pi\)
−0.189479 0.981885i \(-0.560680\pi\)
\(678\) 3.86899e10 3.86899e10i 0.183096 0.183096i
\(679\) 4.50136e9i 0.0211770i
\(680\) 4.06807e9 4.85591e9i 0.0190262 0.0227109i
\(681\) 1.22053e11 0.567494
\(682\) 1.64260e11 + 1.64260e11i 0.759265 + 0.759265i
\(683\) 1.11448e11 1.11448e11i 0.512142 0.512142i −0.403040 0.915182i \(-0.632047\pi\)
0.915182 + 0.403040i \(0.132047\pi\)
\(684\) 7.67292e10i 0.350539i
\(685\) 8.62863e10 7.61760e9i 0.391904 0.0345984i
\(686\) 2.65502e10 0.119887
\(687\) 7.37525e10 + 7.37525e10i 0.331093 + 0.331093i
\(688\) 9.43023e9 9.43023e9i 0.0420890 0.0420890i
\(689\) 5.04523e11i 2.23874i
\(690\) 1.13556e10 + 1.28627e11i 0.0500971 + 0.567461i
\(691\) −2.73439e11 −1.19936 −0.599678 0.800241i \(-0.704705\pi\)
−0.599678 + 0.800241i \(0.704705\pi\)
\(692\) −1.28362e10 1.28362e10i −0.0559774 0.0559774i
\(693\) −6.66912e9 + 6.66912e9i −0.0289158 + 0.0289158i
\(694\) 1.07316e10i 0.0462622i
\(695\) 1.68397e11 + 1.41076e11i 0.721766 + 0.604664i
\(696\) 1.17477e10 0.0500628
\(697\) 1.79291e10 + 1.79291e10i 0.0759674 + 0.0759674i
\(698\) 1.21033e11 1.21033e11i 0.509896 0.509896i
\(699\) 5.70176e10i 0.238836i
\(700\) 8.37598e9 + 5.84527e9i 0.0348854 + 0.0243451i
\(701\) 7.12259e10 0.294962 0.147481 0.989065i \(-0.452883\pi\)
0.147481 + 0.989065i \(0.452883\pi\)
\(702\) −1.95740e11 1.95740e11i −0.805992 0.805992i
\(703\) 2.83789e11 2.83789e11i 1.16191 1.16191i
\(704\) 2.85219e10i 0.116115i
\(705\) 9.93904e10 1.18639e11i 0.402335 0.480253i
\(706\) −5.71552e10 −0.230058
\(707\) 5.12950e9 + 5.12950e9i 0.0205304 + 0.0205304i
\(708\) 7.88916e10 7.88916e10i 0.313977 0.313977i
\(709\) 3.40136e11i 1.34607i −0.739610 0.673036i \(-0.764990\pi\)
0.739610 0.673036i \(-0.235010\pi\)
\(710\) −1.29784e11 + 1.14577e10i −0.510727 + 0.0450885i
\(711\) 7.39383e10 0.289328
\(712\) −6.29273e10 6.29273e10i −0.244861 0.244861i
\(713\) −3.46450e11 + 3.46450e11i −1.34055 + 1.34055i
\(714\) 9.10190e8i 0.00350219i
\(715\) 3.26485e10 + 3.69816e11i 0.124922 + 1.41502i
\(716\) −1.10460e11 −0.420295
\(717\) 1.25468e11 + 1.25468e11i 0.474741 + 0.474741i
\(718\) −1.04308e11 + 1.04308e11i −0.392482 + 0.392482i
\(719\) 3.73670e10i 0.139821i −0.997553 0.0699105i \(-0.977729\pi\)
0.997553 0.0699105i \(-0.0222714\pi\)
\(720\) 2.66473e10 + 2.23240e10i 0.0991571 + 0.0830696i
\(721\) 8.42155e9 0.0311639
\(722\) −1.13571e11 1.13571e11i −0.417945 0.417945i
\(723\) −4.31056e10 + 4.31056e10i −0.157754 + 0.157754i
\(724\) 2.25415e11i 0.820407i
\(725\) 5.54443e10 9.86648e9i 0.200680 0.0357117i
\(726\) 1.87107e10 0.0673509
\(727\) 2.20574e11 + 2.20574e11i 0.789618 + 0.789618i 0.981431 0.191814i \(-0.0614369\pi\)
−0.191814 + 0.981431i \(0.561437\pi\)
\(728\) −9.13622e9 + 9.13622e9i −0.0325268 + 0.0325268i
\(729\) 2.38215e11i 0.843448i
\(730\) −1.57786e11 + 1.88343e11i −0.555619 + 0.663222i
\(731\) −5.69708e9 −0.0199518
\(732\) 9.81339e10 + 9.81339e10i 0.341802 + 0.341802i
\(733\) 2.40945e11 2.40945e11i 0.834646 0.834646i −0.153502 0.988148i \(-0.549055\pi\)
0.988148 + 0.153502i \(0.0490552\pi\)
\(734\) 3.59404e10i 0.123822i
\(735\) −2.00490e11 + 1.76999e10i −0.686980 + 0.0606486i
\(736\) 6.01573e10 0.205011
\(737\) −1.36105e11 1.36105e11i −0.461323 0.461323i
\(738\) −9.83879e10 + 9.83879e10i −0.331678 + 0.331678i
\(739\) 1.27384e11i 0.427106i 0.976931 + 0.213553i \(0.0685037\pi\)
−0.976931 + 0.213553i \(0.931496\pi\)
\(740\) 1.59902e10 + 1.81124e11i 0.0533244 + 0.604017i
\(741\) −4.33962e11 −1.43939
\(742\) 1.88777e10 + 1.88777e10i 0.0622780 + 0.0622780i
\(743\) −2.08172e11 + 2.08172e11i −0.683072 + 0.683072i −0.960691 0.277619i \(-0.910455\pi\)
0.277619 + 0.960691i \(0.410455\pi\)
\(744\) 1.23021e11i 0.401500i
\(745\) 8.21417e10 + 6.88148e10i 0.266648 + 0.223387i
\(746\) −1.94726e11 −0.628736
\(747\) 1.35856e10 + 1.35856e10i 0.0436310 + 0.0436310i
\(748\) −8.61544e9 + 8.61544e9i −0.0275214 + 0.0275214i
\(749\) 2.85933e10i 0.0908527i
\(750\) −1.34784e11 7.73929e10i −0.425983 0.244600i
\(751\) −8.78634e10 −0.276216 −0.138108 0.990417i \(-0.544102\pi\)
−0.138108 + 0.990417i \(0.544102\pi\)
\(752\) −5.09848e10 5.09848e10i −0.159430 0.159430i
\(753\) 2.78296e11 2.78296e11i 0.865618 0.865618i
\(754\) 7.12387e10i 0.220410i
\(755\) 1.70070e11 2.03006e11i 0.523406 0.624771i
\(756\) 1.46480e10 0.0448426
\(757\) 1.18459e11 + 1.18459e11i 0.360733 + 0.360733i 0.864083 0.503350i \(-0.167899\pi\)
−0.503350 + 0.864083i \(0.667899\pi\)
\(758\) 2.72377e11 2.72377e11i 0.825075 0.825075i
\(759\) 2.48360e11i 0.748366i
\(760\) 1.59201e11 1.40548e10i 0.477191 0.0421279i
\(761\) −5.02471e10 −0.149821 −0.0749105 0.997190i \(-0.523867\pi\)
−0.0749105 + 0.997190i \(0.523867\pi\)
\(762\) −1.24463e11 1.24463e11i −0.369166 0.369166i
\(763\) 4.45214e9 4.45214e9i 0.0131362 0.0131362i
\(764\) 2.69441e11i 0.790843i
\(765\) −1.30593e9 1.47925e10i −0.00381305 0.0431913i
\(766\) 1.20182e11 0.349079
\(767\) 4.78404e11 + 4.78404e11i 1.38234 + 1.38234i
\(768\) −1.06806e10 + 1.06806e10i −0.0307008 + 0.0307008i
\(769\) 6.28311e11i 1.79668i −0.439306 0.898338i \(-0.644776\pi\)
0.439306 0.898338i \(-0.355224\pi\)
\(770\) −1.50590e10 1.26158e10i −0.0428384 0.0358882i
\(771\) 1.93333e10 0.0547126
\(772\) −1.77509e11 1.77509e11i −0.499748 0.499748i
\(773\) −7.85266e10 + 7.85266e10i −0.219937 + 0.219937i −0.808472 0.588535i \(-0.799705\pi\)
0.588535 + 0.808472i \(0.299705\pi\)
\(774\) 3.12633e10i 0.0871107i
\(775\) −1.03321e11 5.80608e11i −0.286405 1.60945i
\(776\) −3.19107e10