Properties

Label 29.9.f.a.2.14
Level $29$
Weight $9$
Character 29.2
Analytic conductor $11.814$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.8139796918\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(19\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 2.14
Character \(\chi\) \(=\) 29.2
Dual form 29.9.f.a.15.14

$q$-expansion

\(f(q)\) \(=\) \(q+(14.6914 + 1.65532i) q^{2} +(1.69586 + 1.06558i) q^{3} +(-36.4848 - 8.32741i) q^{4} +(784.225 - 625.399i) q^{5} +(23.1506 + 18.4620i) q^{6} +(313.531 + 1373.67i) q^{7} +(-4094.63 - 1432.77i) q^{8} +(-2844.97 - 5907.64i) q^{9} +O(q^{10})\) \(q+(14.6914 + 1.65532i) q^{2} +(1.69586 + 1.06558i) q^{3} +(-36.4848 - 8.32741i) q^{4} +(784.225 - 625.399i) q^{5} +(23.1506 + 18.4620i) q^{6} +(313.531 + 1373.67i) q^{7} +(-4094.63 - 1432.77i) q^{8} +(-2844.97 - 5907.64i) q^{9} +(12556.6 - 7889.83i) q^{10} +(22594.0 - 7905.97i) q^{11} +(-52.9994 - 52.9994i) q^{12} +(7336.91 - 15235.3i) q^{13} +(2332.34 + 20700.1i) q^{14} +(1996.35 - 224.934i) q^{15} +(-49152.6 - 23670.6i) q^{16} +(50076.2 - 50076.2i) q^{17} +(-32017.5 - 91500.8i) q^{18} +(62833.2 + 99998.4i) q^{19} +(-33820.2 + 16287.0i) q^{20} +(-932.047 + 2663.64i) q^{21} +(345024. - 78749.4i) q^{22} +(-116662. + 146289. i) q^{23} +(-5417.18 - 6792.93i) q^{24} +(136963. - 600076. i) q^{25} +(133009. - 211682. i) q^{26} +(2941.68 - 26108.1i) q^{27} -52728.9i q^{28} +(-81017.8 + 702625. i) q^{29} +29701.4 q^{30} +(-1.40656e6 - 158481. i) q^{31} +(257389. + 161728. i) q^{32} +(46740.6 + 10668.2i) q^{33} +(818580. - 652796. i) q^{34} +(1.10497e6 + 881184. i) q^{35} +(54602.7 + 239230. i) q^{36} +(-1.81821e6 - 636219. i) q^{37} +(757577. + 1.57312e6i) q^{38} +(28676.7 - 18018.8i) q^{39} +(-4.10717e6 + 1.43716e6i) q^{40} +(423253. + 423253. i) q^{41} +(-18102.2 + 37589.7i) q^{42} +(596583. + 5.29482e6i) q^{43} +(-890171. + 100298. i) q^{44} +(-5.92573e6 - 2.85368e6i) q^{45} +(-1.95608e6 + 1.95608e6i) q^{46} +(1.80425e6 + 5.15626e6i) q^{47} +(-58132.8 - 92517.9i) q^{48} +(3.40524e6 - 1.63988e6i) q^{49} +(3.00550e6 - 8.58923e6i) q^{50} +(138282. - 31562.0i) q^{51} +(-394556. + 494757. i) q^{52} +(2.74782e6 + 3.44566e6i) q^{53} +(86434.6 - 378695. i) q^{54} +(1.27744e7 - 2.03303e7i) q^{55} +(684362. - 6.07388e6i) q^{56} +236537. i q^{57} +(-2.35333e6 + 1.01884e7i) q^{58} +2.07335e7 q^{59} +(-74709.3 - 8417.72i) q^{60} +(-1.56260e7 - 9.81846e6i) q^{61} +(-2.04019e7 - 4.65661e6i) q^{62} +(7.22316e6 - 5.76027e6i) q^{63} +(1.44329e7 + 1.15098e7i) q^{64} +(-3.77432e6 - 1.65364e7i) q^{65} +(669024. + 234102. i) q^{66} +(464734. + 965030. i) q^{67} +(-2.24402e6 + 1.41001e6i) q^{68} +(-353724. + 123773. i) q^{69} +(1.47749e7 + 1.47749e7i) q^{70} +(6.07306e6 - 1.26108e7i) q^{71} +(3.18479e6 + 2.82658e7i) q^{72} +(-1.06011e6 + 119446. i) q^{73} +(-2.56589e7 - 1.23567e7i) q^{74} +(871698. - 871698. i) q^{75} +(-1.45973e6 - 4.17166e6i) q^{76} +(1.79441e7 + 2.85578e7i) q^{77} +(451127. - 217251. i) q^{78} +(-1.13501e7 + 3.24368e7i) q^{79} +(-5.33503e7 + 1.21768e7i) q^{80} +(-2.67900e7 + 3.35936e7i) q^{81} +(5.51755e6 + 6.91879e6i) q^{82} +(9.48123e6 - 4.15400e7i) q^{83} +(56186.7 - 89420.6i) q^{84} +(7.95342e6 - 7.05886e7i) q^{85} +7.87758e7i q^{86} +(-886097. + 1.10522e6i) q^{87} -1.03841e8 q^{88} +(9.20460e7 + 1.03711e7i) q^{89} +(-8.23335e7 - 5.17335e7i) q^{90} +(2.32285e7 + 5.30176e6i) q^{91} +(5.47458e6 - 4.36583e6i) q^{92} +(-2.21644e6 - 1.76756e6i) q^{93} +(1.79717e7 + 7.87392e7i) q^{94} +(1.11814e8 + 3.91255e7i) q^{95} +(264161. + 548536. i) q^{96} +(9.91232e7 - 6.22832e7i) q^{97} +(5.27423e7 - 1.84553e7i) q^{98} +(-1.10985e8 - 1.10985e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 3664q^{8} - 14q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 3664q^{8} - 14q^{9} - 15884q^{10} + 8376q^{11} - 5036q^{12} - 14q^{13} - 12742q^{14} + 35516q^{15} + 245898q^{16} - 76248q^{17} + 465008q^{18} + 164474q^{19} - 907274q^{20} - 628270q^{21} + 1214962q^{22} + 173408q^{23} + 1858618q^{24} + 43976q^{25} - 4604204q^{26} - 1727586q^{27} + 1079922q^{29} + 8909208q^{30} + 3657848q^{31} + 1160364q^{32} - 4279184q^{33} - 8655374q^{34} - 8269058q^{35} - 3366854q^{36} - 5622890q^{37} + 15536626q^{38} + 16110008q^{39} - 23544696q^{40} - 9561672q^{41} - 14q^{42} + 5181008q^{43} + 51041750q^{44} - 35245194q^{45} - 43159224q^{46} - 12806808q^{47} + 83954488q^{48} + 10429400q^{49} + 80809398q^{50} + 18760882q^{51} - 93050550q^{52} - 30960322q^{53} - 106220916q^{54} - 126174004q^{55} - 40136268q^{56} + 159368354q^{58} + 11188020q^{59} + 255893612q^{60} + 139657128q^{61} + 102501616q^{62} + 9797746q^{63} - 135941792q^{64} - 14207858q^{65} - 447597656q^{66} - 148930894q^{67} - 167094904q^{68} + 66986722q^{69} + 586255934q^{70} - 15272096q^{71} + 41230600q^{72} - 219415072q^{73} - 347464696q^{74} + 391507416q^{75} + 271512490q^{76} + 240416780q^{77} + 141747906q^{78} + 112667220q^{79} - 375642638q^{80} - 358099268q^{81} - 262154910q^{82} - 109463350q^{83} - 694921012q^{84} - 356627386q^{85} + 199703522q^{87} + 251202768q^{88} + 839849154q^{89} + 675826020q^{90} + 533256766q^{91} + 742339570q^{92} + 78998570q^{93} - 209116610q^{94} - 633414122q^{95} - 431412576q^{96} - 402046736q^{97} - 2192087384q^{98} - 1966368188q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 14.6914 + 1.65532i 0.918212 + 0.103458i 0.558404 0.829569i \(-0.311414\pi\)
0.359807 + 0.933027i \(0.382842\pi\)
\(3\) 1.69586 + 1.06558i 0.0209365 + 0.0131553i 0.542460 0.840082i \(-0.317493\pi\)
−0.521523 + 0.853237i \(0.674636\pi\)
\(4\) −36.4848 8.32741i −0.142519 0.0325289i
\(5\) 784.225 625.399i 1.25476 1.00064i 0.255331 0.966854i \(-0.417815\pi\)
0.999429 0.0337846i \(-0.0107560\pi\)
\(6\) 23.1506 + 18.4620i 0.0178631 + 0.0142454i
\(7\) 313.531 + 1373.67i 0.130583 + 0.572123i 0.997307 + 0.0733352i \(0.0233643\pi\)
−0.866724 + 0.498788i \(0.833779\pi\)
\(8\) −4094.63 1432.77i −0.999666 0.349798i
\(9\) −2844.97 5907.64i −0.433618 0.900418i
\(10\) 12556.6 7889.83i 1.25566 0.788983i
\(11\) 22594.0 7905.97i 1.54320 0.539988i 0.581369 0.813640i \(-0.302517\pi\)
0.961829 + 0.273652i \(0.0882315\pi\)
\(12\) −52.9994 52.9994i −0.00255591 0.00255591i
\(13\) 7336.91 15235.3i 0.256886 0.533428i −0.732143 0.681151i \(-0.761480\pi\)
0.989029 + 0.147722i \(0.0471941\pi\)
\(14\) 2332.34 + 20700.1i 0.0607127 + 0.538840i
\(15\) 1996.35 224.934i 0.0394340 0.00444314i
\(16\) −49152.6 23670.6i −0.750008 0.361185i
\(17\) 50076.2 50076.2i 0.599564 0.599564i −0.340633 0.940196i \(-0.610641\pi\)
0.940196 + 0.340633i \(0.110641\pi\)
\(18\) −32017.5 91500.8i −0.304998 0.871636i
\(19\) 62833.2 + 99998.4i 0.482142 + 0.767324i 0.995886 0.0906196i \(-0.0288848\pi\)
−0.513744 + 0.857944i \(0.671742\pi\)
\(20\) −33820.2 + 16287.0i −0.211376 + 0.101794i
\(21\) −932.047 + 2663.64i −0.00479248 + 0.0136961i
\(22\) 345024. 78749.4i 1.47285 0.336168i
\(23\) −116662. + 146289.i −0.416886 + 0.522758i −0.945288 0.326236i \(-0.894220\pi\)
0.528403 + 0.848994i \(0.322791\pi\)
\(24\) −5417.18 6792.93i −0.0163278 0.0204744i
\(25\) 136963. 600076.i 0.350626 1.53619i
\(26\) 133009. 211682.i 0.291063 0.463224i
\(27\) 2941.68 26108.1i 0.00553528 0.0491270i
\(28\) 52728.9i 0.0857860i
\(29\) −81017.8 + 702625.i −0.114548 + 0.993418i
\(30\) 29701.4 0.0366684
\(31\) −1.40656e6 158481.i −1.52304 0.171605i −0.689588 0.724202i \(-0.742208\pi\)
−0.833449 + 0.552597i \(0.813637\pi\)
\(32\) 257389. + 161728.i 0.245465 + 0.154236i
\(33\) 46740.6 + 10668.2i 0.0394129 + 0.00899573i
\(34\) 818580. 652796.i 0.612556 0.488497i
\(35\) 1.10497e6 + 881184.i 0.736339 + 0.587211i
\(36\) 54602.7 + 239230.i 0.0325090 + 0.142431i
\(37\) −1.81821e6 636219.i −0.970146 0.339469i −0.201745 0.979438i \(-0.564661\pi\)
−0.768400 + 0.639969i \(0.778947\pi\)
\(38\) 757577. + 1.57312e6i 0.363323 + 0.754447i
\(39\) 28676.7 18018.8i 0.0123957 0.00778873i
\(40\) −4.10717e6 + 1.43716e6i −1.60436 + 0.561391i
\(41\) 423253. + 423253.i 0.149784 + 0.149784i 0.778021 0.628238i \(-0.216223\pi\)
−0.628238 + 0.778021i \(0.716223\pi\)
\(42\) −18102.2 + 37589.7i −0.00581748 + 0.0120801i
\(43\) 596583. + 5.29482e6i 0.174501 + 1.54874i 0.710001 + 0.704201i \(0.248695\pi\)
−0.535500 + 0.844535i \(0.679877\pi\)
\(44\) −890171. + 100298.i −0.237500 + 0.0267598i
\(45\) −5.92573e6 2.85368e6i −1.44508 0.695914i
\(46\) −1.95608e6 + 1.95608e6i −0.436873 + 0.436873i
\(47\) 1.80425e6 + 5.15626e6i 0.369748 + 1.05668i 0.967033 + 0.254650i \(0.0819604\pi\)
−0.597285 + 0.802029i \(0.703754\pi\)
\(48\) −58132.8 92517.9i −0.0109511 0.0174285i
\(49\) 3.40524e6 1.63988e6i 0.590696 0.284464i
\(50\) 3.00550e6 8.58923e6i 0.480880 1.37428i
\(51\) 138282. 31562.0i 0.0204402 0.00466534i
\(52\) −394556. + 494757.i −0.0539628 + 0.0676673i
\(53\) 2.74782e6 + 3.44566e6i 0.348245 + 0.436686i 0.924847 0.380340i \(-0.124193\pi\)
−0.576601 + 0.817026i \(0.695621\pi\)
\(54\) 86434.6 378695.i 0.0101651 0.0445363i
\(55\) 1.27744e7 2.03303e7i 1.39601 2.22174i
\(56\) 684362. 6.07388e6i 0.0695879 0.617610i
\(57\) 236537.i 0.0224078i
\(58\) −2.35333e6 + 1.01884e7i −0.207956 + 0.900317i
\(59\) 2.07335e7 1.71106 0.855528 0.517757i \(-0.173233\pi\)
0.855528 + 0.517757i \(0.173233\pi\)
\(60\) −74709.3 8417.72i −0.00576461 0.000649515i
\(61\) −1.56260e7 9.81846e6i −1.12857 0.709127i −0.167620 0.985852i \(-0.553608\pi\)
−0.960949 + 0.276725i \(0.910751\pi\)
\(62\) −2.04019e7 4.65661e6i −1.38072 0.315139i
\(63\) 7.22316e6 5.76027e6i 0.458527 0.365663i
\(64\) 1.44329e7 + 1.15098e7i 0.860265 + 0.686039i
\(65\) −3.77432e6 1.65364e7i −0.211439 0.926375i
\(66\) 669024. + 234102.i 0.0352587 + 0.0123375i
\(67\) 464734. + 965030.i 0.0230624 + 0.0478896i 0.912182 0.409786i \(-0.134397\pi\)
−0.889119 + 0.457675i \(0.848682\pi\)
\(68\) −2.24402e6 + 1.41001e6i −0.104952 + 0.0659458i
\(69\) −353724. + 123773.i −0.0156052 + 0.00546048i
\(70\) 1.47749e7 + 1.47749e7i 0.615364 + 0.615364i
\(71\) 6.07306e6 1.26108e7i 0.238987 0.496261i −0.746634 0.665235i \(-0.768331\pi\)
0.985620 + 0.168974i \(0.0540455\pi\)
\(72\) 3.18479e6 + 2.82658e7i 0.118509 + 1.05180i
\(73\) −1.06011e6 + 119446.i −0.0373302 + 0.00420610i −0.130610 0.991434i \(-0.541694\pi\)
0.0932796 + 0.995640i \(0.470265\pi\)
\(74\) −2.56589e7 1.23567e7i −0.855679 0.412073i
\(75\) 871698. 871698.i 0.0275500 0.0275500i
\(76\) −1.45973e6 4.17166e6i −0.0437539 0.125041i
\(77\) 1.79441e7 + 2.85578e7i 0.510456 + 0.812386i
\(78\) 451127. 217251.i 0.0121877 0.00586927i
\(79\) −1.13501e7 + 3.24368e7i −0.291402 + 0.832778i 0.701374 + 0.712793i \(0.252570\pi\)
−0.992776 + 0.119984i \(0.961716\pi\)
\(80\) −5.33503e7 + 1.21768e7i −1.30250 + 0.297286i
\(81\) −2.67900e7 + 3.35936e7i −0.622346 + 0.780398i
\(82\) 5.51755e6 + 6.91879e6i 0.122037 + 0.153029i
\(83\) 9.48123e6 4.15400e7i 0.199780 0.875294i −0.771287 0.636488i \(-0.780387\pi\)
0.971067 0.238807i \(-0.0767562\pi\)
\(84\) 56186.7 89420.6i 0.00112854 0.00179606i
\(85\) 7.95342e6 7.05886e7i 0.152363 1.35226i
\(86\) 7.87758e7i 1.44012i
\(87\) −886097. + 1.10522e6i −0.0154669 + 0.0192918i
\(88\) −1.03841e8 −1.73157
\(89\) 9.20460e7 + 1.03711e7i 1.46705 + 0.165297i 0.809058 0.587729i \(-0.199978\pi\)
0.657992 + 0.753025i \(0.271406\pi\)
\(90\) −8.23335e7 5.17335e7i −1.25489 0.788501i
\(91\) 2.32285e7 + 5.30176e6i 0.338732 + 0.0773134i
\(92\) 5.47458e6 4.36583e6i 0.0764187 0.0609419i
\(93\) −2.21644e6 1.76756e6i −0.0296296 0.0236288i
\(94\) 1.79717e7 + 7.87392e7i 0.230186 + 1.00851i
\(95\) 1.11814e8 + 3.91255e7i 1.37279 + 0.480359i
\(96\) 264161. + 548536.i 0.00311017 + 0.00645833i
\(97\) 9.91232e7 6.22832e7i 1.11967 0.703533i 0.160685 0.987006i \(-0.448630\pi\)
0.958980 + 0.283473i \(0.0914867\pi\)
\(98\) 5.27423e7 1.84553e7i 0.571814 0.200086i
\(99\) −1.10985e8 1.10985e8i −1.15537 1.15537i
\(100\) −9.99416e6 + 2.07531e7i −0.0999416 + 0.207531i
\(101\) 4.69183e6 + 4.16412e7i 0.0450876 + 0.400163i 0.995905 + 0.0904102i \(0.0288178\pi\)
−0.950817 + 0.309753i \(0.899754\pi\)
\(102\) 2.08380e6 234788.i 0.0192511 0.00216908i
\(103\) −1.07338e8 5.16913e7i −0.953684 0.459270i −0.108708 0.994074i \(-0.534671\pi\)
−0.844976 + 0.534804i \(0.820386\pi\)
\(104\) −5.18706e7 + 5.18706e7i −0.443392 + 0.443392i
\(105\) 934901. + 2.67179e6i 0.00769145 + 0.0219809i
\(106\) 3.46657e7 + 5.51701e7i 0.274585 + 0.436999i
\(107\) −5.26433e7 + 2.53517e7i −0.401614 + 0.193407i −0.623777 0.781603i \(-0.714403\pi\)
0.222163 + 0.975010i \(0.428688\pi\)
\(108\) −324739. + 928051.i −0.00238693 + 0.00682145i
\(109\) −8.33826e7 + 1.90315e7i −0.590704 + 0.134824i −0.507416 0.861701i \(-0.669399\pi\)
−0.0832877 + 0.996526i \(0.526542\pi\)
\(110\) 2.21326e8 2.77535e8i 1.51169 1.89560i
\(111\) −2.40548e6 3.01638e6i −0.0158457 0.0198698i
\(112\) 1.71047e7 7.49408e7i 0.108704 0.476262i
\(113\) −9.03123e7 + 1.43731e8i −0.553902 + 0.881530i −0.999909 0.0134995i \(-0.995703\pi\)
0.446007 + 0.895030i \(0.352846\pi\)
\(114\) −391544. + 3.47505e6i −0.00231826 + 0.0205751i
\(115\) 1.87684e8i 1.07309i
\(116\) 8.80696e6 2.49605e7i 0.0486401 0.137854i
\(117\) −1.10878e8 −0.591699
\(118\) 3.04604e8 + 3.43206e7i 1.57111 + 0.177022i
\(119\) 8.44884e7 + 5.30876e7i 0.421317 + 0.264731i
\(120\) −8.49658e6 1.93929e6i −0.0409750 0.00935228i
\(121\) 2.80390e8 2.23604e8i 1.30804 1.04313i
\(122\) −2.13315e8 1.70113e8i −0.962901 0.767888i
\(123\) 266768. + 1.16878e6i 0.00116550 + 0.00510639i
\(124\) 4.99981e7 + 1.74951e7i 0.211479 + 0.0739996i
\(125\) −9.78719e7 2.03233e8i −0.400883 0.832443i
\(126\) 1.15653e8 7.26698e7i 0.458855 0.288318i
\(127\) 1.23847e8 4.33361e7i 0.476071 0.166584i −0.0815684 0.996668i \(-0.525993\pi\)
0.557639 + 0.830083i \(0.311707\pi\)
\(128\) 1.37960e8 + 1.37960e8i 0.513939 + 0.513939i
\(129\) −4.63032e6 + 9.61497e6i −0.0167206 + 0.0347207i
\(130\) −2.80770e7 2.49190e8i −0.0983052 0.872483i
\(131\) −3.19684e8 + 3.60197e7i −1.08551 + 0.122308i −0.636545 0.771239i \(-0.719637\pi\)
−0.448969 + 0.893547i \(0.648209\pi\)
\(132\) −1.61648e6 778455.i −0.00532445 0.00256412i
\(133\) −1.17665e8 + 1.17665e8i −0.376044 + 0.376044i
\(134\) 5.23015e6 + 1.49469e7i 0.0162216 + 0.0463588i
\(135\) −1.40210e7 2.23144e7i −0.0422129 0.0671814i
\(136\) −2.76791e8 + 1.33296e8i −0.809089 + 0.389637i
\(137\) −1.75186e8 + 5.00652e8i −0.497297 + 1.42119i 0.372614 + 0.927986i \(0.378461\pi\)
−0.869912 + 0.493208i \(0.835824\pi\)
\(138\) −5.40158e6 + 1.23288e6i −0.0148938 + 0.00339941i
\(139\) 7.01684e7 8.79884e7i 0.187967 0.235703i −0.678914 0.734217i \(-0.737549\pi\)
0.866882 + 0.498514i \(0.166121\pi\)
\(140\) −3.29766e7 4.13513e7i −0.0858407 0.107641i
\(141\) −2.43464e6 + 1.06669e7i −0.00615968 + 0.0269873i
\(142\) 1.10097e8 1.75218e8i 0.270782 0.430948i
\(143\) 4.53204e7 4.02230e8i 0.108380 0.961901i
\(144\) 3.57718e8i 0.831938i
\(145\) 3.75885e8 + 6.01685e8i 0.850321 + 1.36112i
\(146\) −1.57722e7 −0.0347122
\(147\) 7.52222e6 + 847551.i 0.0161093 + 0.00181508i
\(148\) 6.10389e7 + 3.83533e7i 0.127221 + 0.0799384i
\(149\) −1.52431e8 3.47913e7i −0.309263 0.0705872i 0.0650728 0.997881i \(-0.479272\pi\)
−0.374336 + 0.927293i \(0.622129\pi\)
\(150\) 1.42494e7 1.13635e7i 0.0281470 0.0224464i
\(151\) 1.12797e8 + 8.99526e7i 0.216965 + 0.173024i 0.725941 0.687757i \(-0.241404\pi\)
−0.508976 + 0.860781i \(0.669976\pi\)
\(152\) −1.14004e8 4.99482e8i −0.213572 0.935720i
\(153\) −4.38297e8 1.53367e8i −0.799840 0.279876i
\(154\) 2.16351e8 + 4.49258e8i 0.384659 + 0.798753i
\(155\) −1.20217e9 + 7.55374e8i −2.08276 + 1.30869i
\(156\) −1.19631e6 + 418608.i −0.00201998 + 0.000706820i
\(157\) 7.23882e7 + 7.23882e7i 0.119143 + 0.119143i 0.764165 0.645021i \(-0.223152\pi\)
−0.645021 + 0.764165i \(0.723152\pi\)
\(158\) −2.20442e8 + 4.57753e8i −0.353726 + 0.734519i
\(159\) 988296. + 8.77137e6i 0.00154632 + 0.0137239i
\(160\) 3.02996e8 3.41394e7i 0.462335 0.0520926i
\(161\) −2.37530e8 1.14388e8i −0.353521 0.170247i
\(162\) −4.49190e8 + 4.49190e8i −0.652184 + 0.652184i
\(163\) 2.10780e8 + 6.02374e8i 0.298592 + 0.853328i 0.991243 + 0.132054i \(0.0421573\pi\)
−0.692650 + 0.721274i \(0.743557\pi\)
\(164\) −1.19177e7 1.89669e7i −0.0164746 0.0262193i
\(165\) 4.33270e7 2.08652e7i 0.0584552 0.0281505i
\(166\) 2.08055e8 5.94586e8i 0.273996 0.783037i
\(167\) 4.37788e7 9.99222e6i 0.0562857 0.0128468i −0.194285 0.980945i \(-0.562239\pi\)
0.250571 + 0.968098i \(0.419382\pi\)
\(168\) 7.63277e6 9.57120e6i 0.00958176 0.0120151i
\(169\) 3.30317e8 + 4.14205e8i 0.404934 + 0.507771i
\(170\) 2.33694e8 1.02388e9i 0.279802 1.22589i
\(171\) 4.11996e8 6.55688e8i 0.481847 0.766855i
\(172\) 2.23259e7 1.98148e8i 0.0255092 0.226400i
\(173\) 1.71807e9i 1.91804i −0.283340 0.959020i \(-0.591442\pi\)
0.283340 0.959020i \(-0.408558\pi\)
\(174\) −1.48475e7 + 1.47705e7i −0.0161978 + 0.0161138i
\(175\) 8.67248e8 0.924679
\(176\) −1.29769e9 1.46215e8i −1.35245 0.152384i
\(177\) 3.51610e7 + 2.20931e7i 0.0358235 + 0.0225094i
\(178\) 1.33512e9 + 3.04731e8i 1.32996 + 0.303555i
\(179\) 7.46274e8 5.95133e8i 0.726919 0.579698i −0.188561 0.982061i \(-0.560382\pi\)
0.915480 + 0.402363i \(0.131811\pi\)
\(180\) 1.92435e8 + 1.53462e8i 0.183313 + 0.146188i
\(181\) 1.61468e8 + 7.07436e8i 0.150443 + 0.659133i 0.992756 + 0.120145i \(0.0383359\pi\)
−0.842314 + 0.538988i \(0.818807\pi\)
\(182\) 3.32483e8 + 1.16341e8i 0.303029 + 0.106034i
\(183\) −1.60371e7 3.33014e7i −0.0142995 0.0296933i
\(184\) 6.87286e8 4.31850e8i 0.599606 0.376757i
\(185\) −1.82378e9 + 6.38167e8i −1.55699 + 0.544813i
\(186\) −2.96368e7 2.96368e7i −0.0247616 0.0247616i
\(187\) 7.35518e8 1.52732e9i 0.601488 1.24900i
\(188\) −2.28895e7 2.03150e8i −0.0183233 0.162624i
\(189\) 3.67862e7 4.14481e6i 0.0288295 0.00324831i
\(190\) 1.57794e9 + 7.59897e8i 1.21081 + 0.583096i
\(191\) 1.09155e9 1.09155e9i 0.820185 0.820185i −0.165950 0.986134i \(-0.553069\pi\)
0.986134 + 0.165950i \(0.0530689\pi\)
\(192\) 1.22115e7 + 3.48983e7i 0.00898592 + 0.0256803i
\(193\) −1.23328e9 1.96275e9i −0.888857 1.41461i −0.909899 0.414829i \(-0.863841\pi\)
0.0210427 0.999779i \(-0.493301\pi\)
\(194\) 1.55936e9 7.50946e8i 1.10088 0.530154i
\(195\) 1.12201e7 3.20651e7i 0.00775992 0.0221766i
\(196\) −1.37895e8 + 3.14737e7i −0.0934384 + 0.0213267i
\(197\) −1.79705e9 + 2.25343e9i −1.19315 + 1.49617i −0.369348 + 0.929291i \(0.620419\pi\)
−0.823804 + 0.566874i \(0.808152\pi\)
\(198\) −1.44681e9 1.81424e9i −0.941346 1.18041i
\(199\) −2.97975e8 + 1.30552e9i −0.190006 + 0.832472i 0.786604 + 0.617457i \(0.211837\pi\)
−0.976611 + 0.215015i \(0.931020\pi\)
\(200\) −1.42059e9 + 2.26085e9i −0.887867 + 1.41303i
\(201\) −240192. + 2.13176e6i −0.000147155 + 0.00130603i
\(202\) 6.19533e8i 0.372099i
\(203\) −9.90576e8 + 1.09003e8i −0.583316 + 0.0641882i
\(204\) −5.30802e6 −0.00306487
\(205\) 5.96627e8 + 6.72238e7i 0.337822 + 0.0380634i
\(206\) −1.49138e9 9.37095e8i −0.828169 0.520373i
\(207\) 1.19612e9 + 2.73007e8i 0.651470 + 0.148694i
\(208\) −7.21256e8 + 5.75182e8i −0.385333 + 0.307293i
\(209\) 2.21023e9 + 1.76260e9i 1.15839 + 0.923782i
\(210\) 9.31231e6 + 4.07999e7i 0.00478829 + 0.0209789i
\(211\) −9.69018e8 3.39074e8i −0.488880 0.171066i 0.0745716 0.997216i \(-0.476241\pi\)
−0.563451 + 0.826149i \(0.690527\pi\)
\(212\) −7.15602e7 1.48596e8i −0.0354265 0.0735639i
\(213\) 2.37369e7 1.49149e7i 0.0115320 0.00724604i
\(214\) −8.15369e8 + 2.85310e8i −0.388776 + 0.136039i
\(215\) 3.77923e9 + 3.77923e9i 1.76868 + 1.76868i
\(216\) −4.94521e7 + 1.02688e8i −0.0227180 + 0.0471743i
\(217\) −2.23299e8 1.98183e9i −0.100704 0.893773i
\(218\) −1.25651e9 + 1.41575e8i −0.556340 + 0.0626844i
\(219\) −1.92508e6 927068.i −0.000836896 0.000403028i
\(220\) −6.35369e8 + 6.35369e8i −0.271228 + 0.271228i
\(221\) −3.95519e8 1.13033e9i −0.165805 0.473844i
\(222\) −3.03468e7 4.82966e7i −0.0124940 0.0198841i
\(223\) 1.81129e9 8.72270e8i 0.732433 0.352721i −0.0302078 0.999544i \(-0.509617\pi\)
0.762640 + 0.646823i \(0.223903\pi\)
\(224\) −1.41462e8 + 4.04274e8i −0.0561884 + 0.160577i
\(225\) −3.93469e9 + 8.98068e8i −1.53526 + 0.350412i
\(226\) −1.56473e9 + 1.96211e9i −0.599800 + 0.752126i
\(227\) −1.26640e9 1.58802e9i −0.476945 0.598070i 0.483912 0.875117i \(-0.339216\pi\)
−0.960856 + 0.277047i \(0.910644\pi\)
\(228\) 1.96974e6 8.62998e6i 0.000728902 0.00319353i
\(229\) −7.08663e8 + 1.12783e9i −0.257690 + 0.410112i −0.950364 0.311139i \(-0.899290\pi\)
0.692674 + 0.721251i \(0.256432\pi\)
\(230\) −3.10677e8 + 2.75733e9i −0.111019 + 0.985322i
\(231\) 6.75508e7i 0.0237237i
\(232\) 1.33844e9 2.76091e9i 0.462006 0.953017i
\(233\) −3.76473e9 −1.27735 −0.638675 0.769477i \(-0.720517\pi\)
−0.638675 + 0.769477i \(0.720517\pi\)
\(234\) −1.62895e9 1.83538e8i −0.543305 0.0612158i
\(235\) 4.63966e9 + 2.91529e9i 1.52130 + 0.955896i
\(236\) −7.56456e8 1.72656e8i −0.243857 0.0556588i
\(237\) −5.38121e7 + 4.29137e7i −0.0170564 + 0.0136020i
\(238\) 1.15338e9 + 9.19786e8i 0.359470 + 0.286668i
\(239\) −8.32226e8 3.64622e9i −0.255064 1.11751i −0.926455 0.376406i \(-0.877160\pi\)
0.671391 0.741103i \(-0.265697\pi\)
\(240\) −1.03450e8 3.61987e7i −0.0311806 0.0109106i
\(241\) −1.63399e8 3.39301e8i −0.0484374 0.100581i 0.875346 0.483498i \(-0.160634\pi\)
−0.923783 + 0.382917i \(0.874920\pi\)
\(242\) 4.48946e9 2.82091e9i 1.30898 0.822486i
\(243\) −2.43934e8 + 8.53563e7i −0.0699597 + 0.0244799i
\(244\) 4.88348e8 + 4.88348e8i 0.137775 + 0.137775i
\(245\) 1.64490e9 3.41567e9i 0.456536 0.948007i
\(246\) 1.98447e6 + 1.76127e7i 0.000541881 + 0.00480933i
\(247\) 1.98450e9 2.23600e8i 0.533168 0.0600736i
\(248\) 5.53226e9 + 2.66420e9i 1.46250 + 0.704303i
\(249\) 6.03429e7 6.03429e7i 0.0156974 0.0156974i
\(250\) −1.10146e9 3.14779e9i −0.281973 0.805833i
\(251\) −2.97631e9 4.73678e9i −0.749867 1.19341i −0.975672 0.219233i \(-0.929644\pi\)
0.225806 0.974172i \(-0.427498\pi\)
\(252\) −3.11503e8 + 1.50012e8i −0.0772432 + 0.0371984i
\(253\) −1.47929e9 + 4.22758e9i −0.361054 + 1.03183i
\(254\) 1.89122e9 4.31660e8i 0.454368 0.103707i
\(255\) 8.87055e7 1.11233e8i 0.0209792 0.0263071i
\(256\) −1.14806e9 1.43963e9i −0.267304 0.335189i
\(257\) −8.88012e8 + 3.89063e9i −0.203557 + 0.891842i 0.765193 + 0.643801i \(0.222644\pi\)
−0.968750 + 0.248040i \(0.920213\pi\)
\(258\) −8.39417e7 + 1.33593e8i −0.0189452 + 0.0301511i
\(259\) 3.03889e8 2.69709e9i 0.0675330 0.599372i
\(260\) 6.34756e8i 0.138903i
\(261\) 4.38135e9 1.52032e9i 0.944161 0.327623i
\(262\) −4.75622e9 −1.00939
\(263\) 2.34431e8 + 2.64140e7i 0.0489995 + 0.00552092i 0.136430 0.990650i \(-0.456437\pi\)
−0.0874307 + 0.996171i \(0.527866\pi\)
\(264\) −1.76100e8 1.10651e8i −0.0362530 0.0227793i
\(265\) 4.30983e9 + 9.83690e8i 0.873929 + 0.199469i
\(266\) −1.92343e9 + 1.53388e9i −0.384193 + 0.306384i
\(267\) 1.45046e8 + 1.15670e8i 0.0285404 + 0.0227602i
\(268\) −8.91950e6 3.90789e7i −0.00172903 0.00757536i
\(269\) 5.56824e9 + 1.94841e9i 1.06343 + 0.372110i 0.804602 0.593814i \(-0.202378\pi\)
0.258827 + 0.965924i \(0.416664\pi\)
\(270\) −1.69051e8 3.51038e8i −0.0318099 0.0660540i
\(271\) −2.89007e9 + 1.81595e9i −0.535834 + 0.336687i −0.772614 0.634876i \(-0.781051\pi\)
0.236779 + 0.971563i \(0.423908\pi\)
\(272\) −3.64670e9 + 1.27604e9i −0.666231 + 0.233124i
\(273\) 3.37428e7 + 3.37428e7i 0.00607478 + 0.00607478i
\(274\) −3.40246e9 + 7.06528e9i −0.603658 + 1.25351i
\(275\) −1.64964e9 1.46409e10i −0.288441 2.55999i
\(276\) 1.39362e7 1.57024e6i 0.00240165 0.000270601i
\(277\) −4.10528e9 1.97700e9i −0.697306 0.335805i 0.0514267 0.998677i \(-0.483623\pi\)
−0.748733 + 0.662872i \(0.769337\pi\)
\(278\) 1.17652e9 1.17652e9i 0.196979 0.196979i
\(279\) 3.06536e9 + 8.76030e9i 0.505900 + 1.44578i
\(280\) −3.26191e9 5.19129e9i −0.530688 0.844585i
\(281\) 7.70817e9 3.71206e9i 1.23631 0.595373i 0.302498 0.953150i \(-0.402179\pi\)
0.933807 + 0.357777i \(0.116465\pi\)
\(282\) −5.34253e7 + 1.52681e8i −0.00844793 + 0.0241428i
\(283\) −2.75864e9 + 6.29642e8i −0.430080 + 0.0981630i −0.432081 0.901835i \(-0.642220\pi\)
0.00200038 + 0.999998i \(0.499363\pi\)
\(284\) −3.26589e8 + 4.09530e8i −0.0502029 + 0.0629524i
\(285\) 1.47930e8 + 1.85498e8i 0.0224221 + 0.0281164i
\(286\) 1.33164e9 5.83430e9i 0.199032 0.872016i
\(287\) −4.48706e8 + 7.14112e8i −0.0661355 + 0.105254i
\(288\) 2.23168e8 1.98067e9i 0.0324386 0.287901i
\(289\) 1.96052e9i 0.281047i
\(290\) 4.52629e9 + 9.46180e9i 0.639956 + 1.33777i
\(291\) 2.34466e8 0.0326971
\(292\) 3.96726e7 + 4.47003e6i 0.00545707 + 0.000614864i
\(293\) 1.92423e9 + 1.20907e9i 0.261088 + 0.164052i 0.656215 0.754574i \(-0.272157\pi\)
−0.395127 + 0.918627i \(0.629299\pi\)
\(294\) 1.09109e8 + 2.49034e7i 0.0146040 + 0.00333326i
\(295\) 1.62597e10 1.29667e10i 2.14697 1.71215i
\(296\) 6.53334e9 + 5.21016e9i 0.851076 + 0.678710i
\(297\) −1.39946e8 6.13142e8i −0.0179860 0.0788017i
\(298\) −2.18183e9 7.63455e8i −0.276666 0.0968096i
\(299\) 1.37282e9 + 2.85068e9i 0.171762 + 0.356668i
\(300\) −3.90627e7 + 2.45447e7i −0.00482255 + 0.00303021i
\(301\) −7.08628e9 + 2.47960e9i −0.863281 + 0.302075i
\(302\) 1.50824e9 + 1.50824e9i 0.181319 + 0.181319i
\(303\) −3.64152e7 + 7.56170e7i −0.00432028 + 0.00897116i
\(304\) −7.21386e8 6.40248e9i −0.0844643 0.749642i
\(305\) −1.83948e10 + 2.07259e9i −2.12566 + 0.239505i
\(306\) −6.18532e9 2.97869e9i −0.705467 0.339735i
\(307\) −7.55415e9 + 7.55415e9i −0.850417 + 0.850417i −0.990184 0.139767i \(-0.955365\pi\)
0.139767 + 0.990184i \(0.455365\pi\)
\(308\) −4.16873e8 1.19135e9i −0.0463234 0.132385i
\(309\) −1.26949e8 2.02038e8i −0.0139250 0.0221615i
\(310\) −1.89119e10 + 9.10751e9i −2.04781 + 0.986173i
\(311\) −2.98204e8 + 8.52219e8i −0.0318766 + 0.0910981i −0.958722 0.284345i \(-0.908224\pi\)
0.926845 + 0.375443i \(0.122510\pi\)
\(312\) −1.43237e8 + 3.26930e7i −0.0151160 + 0.00345013i
\(313\) −9.20838e8 + 1.15469e9i −0.0959413 + 0.120307i −0.827485 0.561488i \(-0.810229\pi\)
0.731543 + 0.681795i \(0.238800\pi\)
\(314\) 9.43658e8 + 1.18331e9i 0.0970725 + 0.121725i
\(315\) 2.06211e9 9.03471e9i 0.209445 0.917639i
\(316\) 6.84220e8 1.08893e9i 0.0686195 0.109207i
\(317\) −4.73468e7 + 4.20214e8i −0.00468871 + 0.0416135i −0.995839 0.0911332i \(-0.970951\pi\)
0.991150 + 0.132747i \(0.0423797\pi\)
\(318\) 1.30500e8i 0.0127615i
\(319\) 3.72442e9 + 1.65156e10i 0.359663 + 1.59489i
\(320\) 1.85168e10 1.76590
\(321\) −1.16290e8 1.31027e7i −0.0109527 0.00123407i
\(322\) −3.30029e9 2.07371e9i −0.306993 0.192897i
\(323\) 8.15398e9 + 1.86109e9i 0.749134 + 0.170985i
\(324\) 1.25717e9 1.00256e9i 0.114081 0.0909769i
\(325\) −8.13742e9 6.48938e9i −0.729379 0.581660i
\(326\) 2.09952e9 + 9.19862e9i 0.185888 + 0.814427i
\(327\) −1.61685e8 5.65759e7i −0.0141409 0.00494812i
\(328\) −1.12664e9 2.33949e9i −0.0973395 0.202128i
\(329\) −6.51730e9 + 4.09509e9i −0.556268 + 0.349526i
\(330\) 6.71073e8 2.34819e8i 0.0565866 0.0198005i
\(331\) 6.81210e8 + 6.81210e8i 0.0567504 + 0.0567504i 0.734912 0.678162i \(-0.237223\pi\)
−0.678162 + 0.734912i \(0.737223\pi\)
\(332\) −6.91841e8 + 1.43662e9i −0.0569448 + 0.118247i
\(333\) 1.41420e9 + 1.25514e10i 0.115009 + 1.02074i
\(334\) 6.59711e8 7.43316e7i 0.0530113 0.00597293i
\(335\) 9.67984e8 + 4.66157e8i 0.0768580 + 0.0370129i
\(336\) 1.08862e8 1.08862e8i 0.00854124 0.00854124i
\(337\) 5.70943e8 + 1.63166e9i 0.0442663 + 0.126506i 0.963895 0.266284i \(-0.0857958\pi\)
−0.919628 + 0.392789i \(0.871510\pi\)
\(338\) 4.16718e9 + 6.63202e9i 0.319282 + 0.508135i
\(339\) −3.06313e8 + 1.47513e8i −0.0231936 + 0.0111694i
\(340\) −8.77998e8 + 2.50918e9i −0.0657019 + 0.187765i
\(341\) −3.30326e10 + 7.53948e9i −2.44301 + 0.557601i
\(342\) 7.13817e9 8.95099e9i 0.521774 0.654284i
\(343\) 8.38464e9 + 1.05140e10i 0.605770 + 0.759612i
\(344\) 5.14349e9 2.25351e10i 0.367303 1.60926i
\(345\) −1.99992e8 + 3.18285e8i −0.0141168 + 0.0224667i
\(346\) 2.84397e9 2.52409e10i 0.198436 1.76117i
\(347\) 6.75955e9i 0.466230i −0.972449 0.233115i \(-0.925108\pi\)
0.972449 0.233115i \(-0.0748918\pi\)
\(348\) 4.15326e7 3.29449e7i 0.00283187 0.00224631i
\(349\) −2.03025e10 −1.36851 −0.684256 0.729242i \(-0.739873\pi\)
−0.684256 + 0.729242i \(0.739873\pi\)
\(350\) 1.27411e10 + 1.43557e9i 0.849051 + 0.0956651i
\(351\) −3.76181e8 2.36370e8i −0.0247838 0.0155727i
\(352\) 7.09406e9 + 1.61917e9i 0.462087 + 0.105468i
\(353\) −1.71069e8 + 1.36423e8i −0.0110172 + 0.00878593i −0.628983 0.777419i \(-0.716528\pi\)
0.617966 + 0.786205i \(0.287957\pi\)
\(354\) 4.79993e8 + 3.82782e8i 0.0305648 + 0.0243746i
\(355\) −3.12415e9 1.36878e10i −0.196707 0.861828i
\(356\) −3.27191e9 1.14489e9i −0.203705 0.0712794i
\(357\) 8.67114e7 + 1.80058e8i 0.00533830 + 0.0110851i
\(358\) 1.19489e10 7.50801e9i 0.727440 0.457081i
\(359\) 1.84274e10 6.44804e9i 1.10940 0.388195i 0.287471 0.957789i \(-0.407185\pi\)
0.821926 + 0.569594i \(0.192900\pi\)
\(360\) 2.01750e10 + 2.01750e10i 1.20117 + 1.20117i
\(361\) 1.31722e9 2.73523e9i 0.0775583 0.161051i
\(362\) 1.20115e9 + 1.06605e10i 0.0699460 + 0.620788i
\(363\) 7.13769e8 8.04224e7i 0.0411085 0.00463181i
\(364\) −8.03337e8 3.86867e8i −0.0457607 0.0220372i
\(365\) −7.56665e8 + 7.56665e8i −0.0426317 + 0.0426317i
\(366\) −1.80483e8 5.15791e8i −0.0100580 0.0287441i
\(367\) −1.14133e10 1.81642e10i −0.629142 1.00127i −0.997436 0.0715647i \(-0.977201\pi\)
0.368294 0.929710i \(-0.379942\pi\)
\(368\) 9.19698e9 4.42903e9i 0.501480 0.241500i
\(369\) 1.29628e9 3.70457e9i 0.0699189 0.199817i
\(370\) −2.78502e10 + 6.35662e9i −1.48601 + 0.339172i
\(371\) −3.87167e9 + 4.85492e9i −0.204363 + 0.256263i
\(372\) 6.61473e7 + 8.29461e7i 0.00345414 + 0.00433136i
\(373\) 5.16390e8 2.26245e9i 0.0266773 0.116881i −0.959836 0.280561i \(-0.909479\pi\)
0.986513 + 0.163680i \(0.0523365\pi\)
\(374\) 1.33340e10 2.12209e10i 0.681512 1.08462i
\(375\) 5.05839e7 4.48944e8i 0.00255792 0.0227022i
\(376\) 2.36981e10i 1.18566i
\(377\) 1.01103e10 + 6.38943e9i 0.500492 + 0.316298i
\(378\) 5.47301e8 0.0268077
\(379\) 1.45338e10 + 1.63757e9i 0.704406 + 0.0793675i 0.456899 0.889519i \(-0.348960\pi\)
0.247507 + 0.968886i \(0.420389\pi\)
\(380\) −3.75370e9 2.35861e9i −0.180022 0.113115i
\(381\) 2.56205e8 + 5.84772e7i 0.0121587 + 0.00277515i
\(382\) 1.78433e10 1.42296e10i 0.837958 0.668249i
\(383\) 6.82523e9 + 5.44294e9i 0.317192 + 0.252952i 0.769123 0.639101i \(-0.220693\pi\)
−0.451931 + 0.892053i \(0.649265\pi\)
\(384\) 8.69531e7 + 3.80966e8i 0.00399908 + 0.0175211i
\(385\) 3.19322e10 + 1.11736e10i 1.45340 + 0.508568i
\(386\) −1.48696e10 3.08770e10i −0.669807 1.39087i
\(387\) 2.95826e10 1.85880e10i 1.31884 0.828684i
\(388\) −4.13514e9 + 1.44695e9i −0.182458 + 0.0638449i
\(389\) −1.04770e10 1.04770e10i −0.457552 0.457552i 0.440299 0.897851i \(-0.354872\pi\)
−0.897851 + 0.440299i \(0.854872\pi\)
\(390\) 2.17917e8 4.52509e8i 0.00941959 0.0195600i
\(391\) 1.48363e9 + 1.31676e10i 0.0634773 + 0.563376i
\(392\) −1.62928e10 + 1.83576e9i −0.690003 + 0.0777447i
\(393\) −5.80520e8 2.79564e8i −0.0243359 0.0117195i
\(394\) −3.01314e10 + 3.01314e10i −1.25036 + 1.25036i
\(395\) 1.13849e10 + 3.25361e10i 0.467670 + 1.33652i
\(396\) 3.12504e9 + 4.97347e9i 0.127079 + 0.202245i
\(397\) −1.80880e10 + 8.71072e9i −0.728163 + 0.350665i −0.760961 0.648797i \(-0.775272\pi\)
0.0327984 + 0.999462i \(0.489558\pi\)
\(398\) −6.53872e9 + 1.86866e10i −0.260592 + 0.744728i
\(399\) −3.24923e8 + 7.41615e7i −0.0128200 + 0.00292609i
\(400\) −2.09363e10 + 2.62533e10i −0.817823 + 1.02552i
\(401\) −2.52856e10 3.17072e10i −0.977903 1.22625i −0.974067 0.226260i \(-0.927350\pi\)
−0.00383643 0.999993i \(-0.501221\pi\)
\(402\) −7.05750e6 + 3.09209e7i −0.000270238 + 0.00118399i
\(403\) −1.27343e10 + 2.02665e10i −0.482785 + 0.768348i
\(404\) 1.75583e8 1.55834e9i 0.00659107 0.0584974i
\(405\) 4.30993e10i 1.60196i
\(406\) −1.47334e10 3.83138e7i −0.542248 0.00141010i
\(407\) −4.61105e10 −1.68044
\(408\) −6.11435e8 6.88922e7i −0.0220653 0.00248616i
\(409\) −1.00150e10 6.29281e9i −0.357895 0.224880i 0.341067 0.940039i \(-0.389212\pi\)
−0.698962 + 0.715158i \(0.746354\pi\)
\(410\) 8.65401e9 + 1.97522e9i 0.306254 + 0.0699005i
\(411\) −8.30573e8 + 6.62360e8i −0.0291079 + 0.0232128i
\(412\) 3.48575e9 + 2.77979e9i 0.120978 + 0.0964769i
\(413\) 6.50059e9 + 2.84809e10i 0.223436 + 0.978935i
\(414\) 1.71208e10 + 5.99083e9i 0.582804 + 0.203932i
\(415\) −1.85436e10 3.85063e10i −0.625176 1.29819i
\(416\) 4.35241e9 2.73480e9i 0.145330 0.0913171i
\(417\) 2.12754e8 7.44458e7i 0.00703612 0.00246205i
\(418\) 2.95537e10 + 2.95537e10i 0.968071 + 0.968071i
\(419\) −1.77966e10 + 3.69551e10i −0.577407 + 1.19900i 0.383863 + 0.923390i \(0.374593\pi\)
−0.961270 + 0.275608i \(0.911121\pi\)
\(420\) −1.18605e7 1.05265e8i −0.000381159 0.00338288i
\(421\) 2.56151e10 2.88613e9i 0.815395 0.0918730i 0.305591 0.952163i \(-0.401146\pi\)
0.509805 + 0.860290i \(0.329718\pi\)
\(422\) −1.36749e10 6.58551e9i −0.431197 0.207654i
\(423\) 2.53283e10 2.53283e10i 0.791124 0.791124i
\(424\) −6.31447e9 1.80457e10i −0.195377 0.558356i
\(425\) −2.31909e10 3.69081e10i −0.710824 1.13127i
\(426\) 3.73416e8 1.79828e8i 0.0113385 0.00546032i
\(427\) 8.58808e9 2.45433e10i 0.258336 0.738281i
\(428\) 2.13179e9 4.86568e8i 0.0635287 0.0145000i
\(429\) 5.05464e8 6.33832e8i 0.0149232 0.0187131i
\(430\) 4.92663e10 + 6.17780e10i 1.44104 + 1.80701i
\(431\) 5.24939e9 2.29991e10i 0.152125 0.666502i −0.840141 0.542369i \(-0.817528\pi\)
0.992265 0.124134i \(-0.0396152\pi\)
\(432\) −7.62586e8 + 1.21365e9i −0.0218954 + 0.0348464i
\(433\) −7.82092e9 + 6.94126e10i −0.222488 + 1.97463i 0.00131324 + 0.999999i \(0.499582\pi\)
−0.223801 + 0.974635i \(0.571847\pi\)
\(434\) 2.94855e10i 0.831092i
\(435\) −3.69503e6 + 1.42091e9i −0.000103196 + 0.0396834i
\(436\) 3.20068e9 0.0885719
\(437\) −2.19589e10 2.47417e9i −0.602123 0.0678429i
\(438\) −2.67475e7 1.68065e7i −0.000726752 0.000456648i
\(439\) −2.74454e10 6.26424e9i −0.738945 0.168659i −0.163550 0.986535i \(-0.552295\pi\)
−0.575395 + 0.817876i \(0.695152\pi\)
\(440\) −8.14350e10 + 6.49423e10i −2.17270 + 1.73267i
\(441\) −1.93756e10 1.54516e10i −0.512273 0.408524i
\(442\) −3.93966e9 1.72608e10i −0.103221 0.452243i
\(443\) 6.34993e10 + 2.22194e10i 1.64875 + 0.576921i 0.985229 0.171240i \(-0.0547773\pi\)
0.663517 + 0.748161i \(0.269063\pi\)
\(444\) 6.26448e7 + 1.30083e8i 0.00161196 + 0.00334726i
\(445\) 7.86709e10 4.94322e10i 2.00620 1.26058i
\(446\) 2.80542e10 9.81659e9i 0.709020 0.248097i
\(447\) −2.21428e8 2.21428e8i −0.00554629 0.00554629i
\(448\) −1.12855e10 + 2.34346e10i −0.280162 + 0.581763i
\(449\) −9.00896e9 7.99567e10i −0.221661 1.96730i −0.251902 0.967753i \(-0.581056\pi\)
0.0302409 0.999543i \(-0.490373\pi\)
\(450\) −5.92927e10 + 6.68068e9i −1.44594 + 0.162919i
\(451\) 1.29092e10 + 6.21673e9i 0.312027 + 0.150264i
\(452\) 4.49193e9 4.49193e9i 0.107617 0.107617i
\(453\) 9.54361e7 + 2.72741e8i 0.00226631 + 0.00647675i
\(454\) −1.59765e10 2.54265e10i −0.376061 0.598498i
\(455\) 2.15321e10 1.03693e10i 0.502390 0.241938i
\(456\) 3.38903e8 9.68530e8i 0.00783820 0.0224003i
\(457\) 2.70736e10 6.17936e9i 0.620698 0.141670i 0.0994039 0.995047i \(-0.468306\pi\)
0.521295 + 0.853377i \(0.325449\pi\)
\(458\) −1.22782e10 + 1.53963e10i −0.279043 + 0.349909i
\(459\) −1.16009e9 1.45470e9i −0.0261360 0.0327735i
\(460\) 1.56292e9 6.84760e9i 0.0349064 0.152935i
\(461\) 1.90951e10 3.03896e10i 0.422783 0.672855i −0.565628 0.824661i \(-0.691366\pi\)
0.988410 + 0.151806i \(0.0485089\pi\)
\(462\) −1.11818e8 + 9.92416e8i −0.00245440 + 0.0217834i
\(463\) 6.53964e10i 1.42308i −0.702645 0.711541i \(-0.747998\pi\)
0.702645 0.711541i \(-0.252002\pi\)
\(464\) 2.06138e10 3.26181e10i 0.444720 0.703699i
\(465\) −2.84362e9 −0.0608219
\(466\) −5.53091e10 6.23184e9i −1.17288 0.132152i
\(467\) 5.02164e10 + 3.15531e10i 1.05579 + 0.663398i 0.943869 0.330319i \(-0.107156\pi\)
0.111922 + 0.993717i \(0.464299\pi\)
\(468\) 4.04535e9 + 9.23324e8i 0.0843281 + 0.0192473i
\(469\) −1.17992e9 + 9.40956e8i −0.0243872 + 0.0194481i
\(470\) 6.33373e10 + 5.05098e10i 1.29798 + 1.03510i
\(471\) 4.56248e7 + 1.99895e8i 0.000927081 + 0.00406181i
\(472\) −8.48959e10 2.97064e10i −1.71048 0.598524i
\(473\) 5.53399e10 + 1.14914e11i 1.10559 + 2.29578i
\(474\) −8.61610e8 + 5.41385e8i −0.0170686 + 0.0107249i
\(475\) 6.86125e10 2.40086e10i 1.34781 0.471619i
\(476\) −2.64046e9 2.64046e9i −0.0514341 0.0514341i
\(477\) 1.25383e10 2.60360e10i 0.242194 0.502922i
\(478\) −6.19088e9 5.49456e10i −0.118588 1.05250i
\(479\) −2.72685e10 + 3.07243e9i −0.517988 + 0.0583633i −0.367089 0.930186i \(-0.619646\pi\)
−0.150899 + 0.988549i \(0.548217\pi\)
\(480\) 5.50216e8 + 2.64970e8i 0.0103650 + 0.00499150i
\(481\) −2.30330e10 + 2.30330e10i −0.430299 + 0.430299i
\(482\) −1.83890e9 5.25528e9i −0.0340699 0.0973661i
\(483\) −2.80927e8 4.47093e8i −0.00516184 0.00821503i
\(484\) −1.20920e10 + 5.82320e9i −0.220352 + 0.106116i
\(485\) 3.87831e10 1.10836e11i 0.700931 2.00314i
\(486\) −3.72503e9 + 8.50213e8i −0.0667704 + 0.0152399i
\(487\) −2.19626e10 + 2.75403e10i −0.390453 + 0.489612i −0.937743 0.347331i \(-0.887088\pi\)
0.547290 + 0.836943i \(0.315660\pi\)
\(488\) 4.99150e10 + 6.25915e10i 0.880141 + 1.10366i
\(489\) −2.84424e8 + 1.24614e9i −0.00497429 + 0.0217938i
\(490\) 2.98199e10 4.74581e10i 0.517275 0.823239i
\(491\) −8.42166e9 + 7.47443e10i −0.144901 + 1.28603i 0.685173 + 0.728380i \(0.259726\pi\)
−0.830074 + 0.557653i \(0.811702\pi\)
\(492\) 4.48643e7i 0.000765668i
\(493\) 3.11277e10 + 3.92418e10i 0.526938 + 0.664296i
\(494\) 2.95252e10 0.495776
\(495\) −1.56447e11 1.76273e10i −2.60583 0.293607i
\(496\) 6.53845e10 + 4.10838e10i 1.08031 + 0.678803i
\(497\) 1.92272e10 + 4.38848e9i 0.315130 + 0.0719264i
\(498\) 9.86408e8 7.86634e8i 0.0160376 0.0127896i
\(499\) −6.72582e10 5.36366e10i −1.08478 0.865086i −0.0933415 0.995634i \(-0.529755\pi\)
−0.991442 + 0.130548i \(0.958326\pi\)
\(500\) 1.87843e9 + 8.22993e9i 0.0300548 + 0.131679i
\(501\) 8.48901e7 + 2.97043e7i 0.00134743 + 0.000471486i
\(502\) −3.58853e10 7.45166e10i −0.565069 1.17338i
\(503\) 8.13938e9 5.11431e9i 0.127151 0.0798942i −0.466955 0.884281i \(-0.654649\pi\)
0.594106 + 0.804387i \(0.297506\pi\)
\(504\) −3.78293e10 + 1.32371e10i −0.586282 + 0.205149i
\(505\) 2.97218e10 + 2.97218e10i 0.456993 + 0.456993i
\(506\) −2.87309e10 + 5.96602e10i −0.438275 + 0.910087i
\(507\) 1.18804e8 + 1.05441e9i 0.00179803 + 0.0159580i
\(508\) −4.87942e9 + 5.49778e8i −0.0732678 + 0.00825530i
\(509\) −2.99937e10 1.44442e10i −0.446847 0.215190i 0.196908 0.980422i \(-0.436910\pi\)
−0.643755 + 0.765232i \(0.722624\pi\)
\(510\) 1.48733e9 1.48733e9i 0.0219851 0.0219851i
\(511\) −4.96457e8 1.41879e9i −0.00728111 0.0208082i
\(512\) −4.10568e10 6.53416e10i −0.597456 0.950845i
\(513\) 2.79560e9 1.34629e9i 0.0403651 0.0194388i
\(514\) −1.94864e10 + 5.56889e10i −0.279176 + 0.797840i
\(515\) −1.16505e11 + 2.65915e10i −1.65621 + 0.378019i
\(516\) 2.49004e8 3.12241e8i 0.00351243 0.00440445i
\(517\) 8.15304e10 + 1.02236e11i 1.14119 + 1.43101i
\(518\) 8.92911e9 3.91210e10i 0.124019 0.543364i
\(519\) 1.83074e9 2.91361e9i 0.0252323 0.0401570i
\(520\) −8.23843e9 + 7.31180e10i −0.112676 + 1.00003i
\(521\) 1.27626e11i 1.73216i −0.499907 0.866079i \(-0.666632\pi\)
0.499907 0.866079i \(-0.333368\pi\)
\(522\) 6.68848e10 1.50831e10i 0.900835 0.203147i
\(523\) 1.12520e11 1.50391 0.751956 0.659213i \(-0.229110\pi\)
0.751956 + 0.659213i \(0.229110\pi\)
\(524\) 1.19635e10 + 1.34797e9i 0.158684 + 0.0178794i
\(525\) 1.47073e9 + 9.24120e8i 0.0193595 + 0.0121644i
\(526\) 3.40039e9 + 7.76117e8i 0.0444207 + 0.0101387i
\(527\) −7.83710e10 + 6.24988e10i −1.01605 + 0.810269i
\(528\) −2.04489e9 1.63075e9i −0.0263109 0.0209822i
\(529\) 9.63527e9 + 4.22149e10i 0.123039 + 0.539067i
\(530\) 6.16890e10 + 2.15859e10i 0.781816 + 0.273569i
\(531\) −5.89861e10 1.22486e11i −0.741945 1.54067i
\(532\) 5.27280e9 3.31312e9i 0.0658256 0.0413610i
\(533\) 9.55373e9 3.34299e9i 0.118376 0.0414216i
\(534\) 1.93945e9 + 1.93945e9i 0.0238514 + 0.0238514i
\(535\) −2.54293e10 + 5.28045e10i −0.310399 + 0.644549i
\(536\) −5.20244e8 4.61730e9i −0.00630301 0.0559408i
\(537\) 1.89973e9 2.14049e8i 0.0228452 0.00257404i
\(538\) 7.85799e10 + 3.78421e10i 0.937955 + 0.451695i
\(539\) 6.39731e10 6.39731e10i 0.757953 0.757953i
\(540\) 3.25733e8 + 9.30893e8i 0.00383078 + 0.0109477i
\(541\) −1.97871e10 3.14909e10i −0.230989 0.367618i 0.711038 0.703154i \(-0.248225\pi\)
−0.942027 + 0.335536i \(0.891083\pi\)
\(542\) −4.54651e10 + 2.18948e10i −0.526842 + 0.253714i
\(543\) −4.80002e8 + 1.37177e9i −0.00552133 + 0.0157791i
\(544\) 2.09878e10 4.79032e9i 0.239646 0.0546977i
\(545\) −5.34885e10 + 6.70724e10i −0.606281 + 0.760253i
\(546\) 4.39874e8 + 5.51584e8i 0.00494946 + 0.00620642i
\(547\) −2.99105e10 + 1.31046e11i −0.334098 + 1.46378i 0.477018 + 0.878894i \(0.341718\pi\)
−0.811116 + 0.584885i \(0.801139\pi\)
\(548\) 1.05607e10 1.68073e10i 0.117104 0.186370i
\(549\) −1.35485e10 + 1.20246e11i −0.149142 + 1.32367i
\(550\) 2.17826e11i 2.38045i
\(551\) −7.53520e10 + 3.60465e10i −0.817502 + 0.391072i
\(552\) 1.62571e9 0.0175100
\(553\) −4.81160e10 5.42137e9i −0.514504 0.0579707i
\(554\) −5.70397e10 3.58404e10i −0.605533 0.380482i
\(555\) −3.77288e9 8.61135e8i −0.0397650 0.00907610i
\(556\) −3.29279e9 + 2.62591e9i −0.0344560 + 0.0274777i
\(557\) −1.17605e11 9.37868e10i −1.22181 0.974363i −0.221813 0.975089i \(-0.571197\pi\)
−1.00000 0.000726384i \(0.999769\pi\)
\(558\) 3.05333e10 + 1.33775e11i 0.314947 + 1.37987i
\(559\) 8.50450e10 + 2.97585e10i 0.870967 + 0.304764i
\(560\) −3.34539e10 6.94677e10i −0.340169 0.706368i
\(561\) 2.87481e9 1.80636e9i 0.0290240 0.0182370i
\(562\) 1.19388e11 4.17758e10i 1.19679 0.418774i
\(563\) −1.82093e10 1.82093e10i −0.181243 0.181243i 0.610654 0.791897i \(-0.290906\pi\)
−0.791897 + 0.610654i \(0.790906\pi\)
\(564\) 1.77654e8 3.68903e8i 0.00175574 0.00364583i
\(565\) 1.90641e10 + 1.69199e11i 0.187078 + 1.66036i
\(566\) −4.15705e10 + 4.68387e9i −0.405060 + 0.0456393i
\(567\) −5.45459e10 2.62679e10i −0.527752 0.254152i
\(568\) −4.29354e10 + 4.29354e10i −0.412498 + 0.412498i
\(569\) −2.07201e10 5.92146e10i −0.197671 0.564911i 0.801795 0.597600i \(-0.203879\pi\)
−0.999466 + 0.0326887i \(0.989593\pi\)
\(570\) 1.86623e9 + 2.97010e9i 0.0176794 + 0.0281366i
\(571\) −8.14882e10 + 3.92427e10i −0.766568 + 0.369159i −0.775948 0.630797i \(-0.782728\pi\)
0.00938073 + 0.999956i \(0.497014\pi\)
\(572\) −5.00304e9 + 1.42979e10i −0.0467358 + 0.133563i
\(573\) 3.01425e9 6.87984e8i 0.0279616 0.00638204i
\(574\) −7.77420e9 + 9.74854e9i −0.0716157 + 0.0898032i
\(575\) 7.18062e10 + 9.00422e10i 0.656887 + 0.823710i
\(576\) 2.69348e10 1.18009e11i 0.244695 1.07208i
\(577\) 4.79621e10 7.63313e10i 0.432708 0.688652i −0.557197 0.830380i \(-0.688123\pi\)
0.989906 + 0.141729i \(0.0452661\pi\)
\(578\) −3.24528e9 + 2.88027e10i −0.0290764 + 0.258061i
\(579\) 4.64270e9i 0.0413101i
\(580\) −8.70359e9 2.50825e10i −0.0769107 0.221645i
\(581\) 6.00348e10 0.526864
\(582\) 3.44464e9 + 3.88117e8i 0.0300228 + 0.00338276i
\(583\) 8.93255e10 + 5.61269e10i 0.773217 + 0.485844i
\(584\) 4.51190e9 + 1.02981e9i 0.0387890 + 0.00885334i
\(585\) −8.69531e10 + 6.93428e10i −0.742441 + 0.592077i
\(586\) 2.62682e10 + 2.09482e10i 0.222762 + 0.177646i
\(587\) 1.10358e10 + 4.83510e10i 0.0929505 + 0.407243i 0.999902 0.0139921i \(-0.00445398\pi\)
−0.906952 + 0.421235i \(0.861597\pi\)
\(588\) −2.67389e8 9.35633e7i −0.00223683 0.000782702i
\(589\) −7.25305e10 1.50611e11i −0.602642 1.25140i
\(590\) 2.60342e11 1.63584e11i 2.14850 1.34999i
\(591\) −5.44875e9 + 1.90660e9i −0.0446629 + 0.0156282i
\(592\) 7.43099e10 + 7.43099e10i 0.605006 + 0.605006i
\(593\) −6.13865e10 + 1.27470e11i −0.496426 + 1.03084i 0.490765 + 0.871292i \(0.336717\pi\)
−0.987190 + 0.159546i \(0.948997\pi\)
\(594\) −1.04105e9 9.23956e9i −0.00836229 0.0742174i
\(595\) 9.94589e10 1.12063e10i 0.793553 0.0894119i
\(596\) 5.27168e9 + 2.53871e9i 0.0417796 + 0.0201200i
\(597\) −1.89645e9 + 1.89645e9i −0.0149295 + 0.0149295i
\(598\) 1.54498e10 + 4.41529e10i 0.120814 + 0.345267i
\(599\) −1.83521e10 2.92072e10i −0.142553 0.226873i 0.767814 0.640672i \(-0.221344\pi\)
−0.910368 + 0.413800i \(0.864201\pi\)
\(600\) −4.81823e9 + 2.32034e9i −0.0371777 + 0.0179038i
\(601\) 5.84420e10 1.67018e11i 0.447948 1.28016i −0.469721 0.882815i \(-0.655646\pi\)
0.917669 0.397346i \(-0.130069\pi\)
\(602\) −1.08212e11 + 2.46986e10i −0.823927 + 0.188056i
\(603\) 4.37890e9 5.49096e9i 0.0331204 0.0415316i
\(604\) −3.36630e9 4.22121e9i −0.0252933 0.0317168i
\(605\) 8.00476e10 3.50711e11i 0.597485 2.61775i
\(606\) −6.60160e8 + 1.05064e9i −0.00489507 + 0.00779046i
\(607\) 1.38049e10 1.22522e11i 0.101690 0.902527i −0.834494 0.551017i \(-0.814240\pi\)
0.936184 0.351510i \(-0.114332\pi\)
\(608\) 3.59004e10i 0.262715i
\(609\) −1.79603e9 8.70682e8i −0.0130570 0.00632980i
\(610\) −2.73675e11 −1.97659
\(611\) 9.17945e10 + 1.03428e10i 0.658646 + 0.0742116i
\(612\) 1.47140e10 + 9.24543e9i 0.104888 + 0.0659055i
\(613\) 9.99061e10 + 2.28029e10i 0.707539 + 0.161491i 0.561124 0.827732i \(-0.310369\pi\)
0.146415 + 0.989223i \(0.453226\pi\)
\(614\) −1.23485e11 + 9.84764e10i −0.868845 + 0.692881i
\(615\) 9.40163e8 + 7.49755e8i 0.00657208 + 0.00524105i
\(616\) −3.25575e10 1.42644e11i −0.226114 0.990671i
\(617\) 1.68307e11 + 5.88932e10i 1.16135 + 0.406373i 0.841057 0.540947i \(-0.181934\pi\)
0.320290 + 0.947320i \(0.396220\pi\)
\(618\) −1.53062e9 3.17836e9i −0.0104933 0.0217896i
\(619\) 4.34323e10 2.72903e10i 0.295836 0.185886i −0.375933 0.926647i \(-0.622678\pi\)
0.671769 + 0.740761i \(0.265535\pi\)
\(620\) 5.01512e10 1.75487e10i 0.339402 0.118762i
\(621\) 3.47615e9 + 3.47615e9i 0.0233740 + 0.0233740i
\(622\) −5.79173e9 + 1.20266e10i −0.0386943 + 0.0803495i
\(623\) 1.46128e10 + 1.29692e11i 0.0970022 + 0.860919i
\(624\) −1.83605e9 + 2.06873e8i −0.0121100 + 0.00136447i
\(625\) 1.27671e10 + 6.14833e9i 0.0836707 + 0.0402937i
\(626\) −1.54398e10 + 1.54398e10i −0.100541 + 0.100541i
\(627\) 1.87005e9 + 5.34430e9i 0.0120999 + 0.0345797i
\(628\) −2.03826e9 3.24387e9i −0.0131045 0.0208557i
\(629\) −1.22908e11 + 5.91895e10i −0.785197 + 0.378131i
\(630\) 4.52506e10 1.29319e11i 0.287252 0.820918i
\(631\) −2.61536e11 + 5.96940e10i −1.64974 + 0.376542i −0.943484 0.331418i \(-0.892473\pi\)
−0.706253 + 0.707960i \(0.749616\pi\)
\(632\) 9.29490e10 1.16554e11i 0.582608 0.730568i
\(633\) −1.28201e9 1.60759e9i −0.00798501 0.0100129i
\(634\) −1.39118e9 + 6.09516e9i −0.00861046 + 0.0377249i
\(635\) 7.00219e10 1.11439e11i 0.430664 0.685398i
\(636\) 3.69850e7 3.28251e8i 0.000226046 0.00200622i
\(637\) 6.39114e10i 0.388169i
\(638\) 2.73783e10 + 2.48802e11i 0.165243 + 1.50166i
\(639\) −9.17779e10 −0.550472
\(640\) 1.94471e11 + 2.19116e10i 1.15914 + 0.130604i
\(641\) −1.45697e11 9.15477e10i −0.863017 0.542270i 0.0262514 0.999655i \(-0.491643\pi\)
−0.889268 + 0.457386i \(0.848786\pi\)
\(642\) −1.68677e9 3.84994e8i −0.00992923 0.00226628i
\(643\) 4.12115e10 3.28651e10i 0.241087 0.192261i −0.495491 0.868613i \(-0.665012\pi\)
0.736578 + 0.676352i \(0.236440\pi\)
\(644\) 7.71366e9 + 6.15144e9i 0.0448453 + 0.0357629i
\(645\) 2.38197e9 + 1.04361e10i 0.0137625 + 0.0602975i
\(646\) 1.16713e11 + 4.08395e10i 0.670174 + 0.234504i
\(647\) 5.38831e10 + 1.11889e11i 0.307493 + 0.638517i 0.996254 0.0864720i \(-0.0275593\pi\)
−0.688761 + 0.724989i \(0.741845\pi\)
\(648\) 1.57827e11 9.91693e10i 0.895120 0.562441i
\(649\) 4.68451e11 1.63918e11i 2.64050 0.923950i
\(650\) −1.08808e11 1.08808e11i −0.609547 0.609547i
\(651\) 1.73311e9 3.59884e9i 0.00964945 0.0200373i
\(652\) −2.67404e9 2.37327e10i −0.0147971 0.131328i
\(653\) −2.51702e11 + 2.83600e10i −1.38431 + 0.155974i −0.772493 0.635024i \(-0.780990\pi\)
−0.611819 + 0.790998i \(0.709562\pi\)
\(654\) −2.28172e9 1.09882e9i −0.0124724 0.00600641i
\(655\) −2.28177e11 + 2.28177e11i −1.23967 + 1.23967i
\(656\) −1.07853e10 3.08226e10i −0.0582394 0.166439i
\(657\) 3.72163e9 + 5.92294e9i 0.0199743 + 0.0317889i
\(658\) −1.02527e11 + 4.93743e10i −0.546933 + 0.263389i
\(659\) −8.01531e10 + 2.29064e11i −0.424990 + 1.21455i 0.510092 + 0.860120i \(0.329611\pi\)
−0.935082 + 0.354432i \(0.884674\pi\)
\(660\) −1.75453e9 + 4.00460e8i −0.00924666 + 0.00211049i
\(661\) −7.77962e10 + 9.75534e10i −0.407524 + 0.511018i −0.942663 0.333745i \(-0.891688\pi\)
0.535140 + 0.844764i \(0.320259\pi\)
\(662\) 8.88030e9 + 1.11355e10i 0.0462376 + 0.0579801i
\(663\) 5.33708e8 2.33833e9i 0.00276217 0.0121018i
\(664\) −9.83395e10 + 1.56506e11i −0.505890 + 0.805119i
\(665\) −1.86882e10 + 1.65863e11i −0.0955613 + 0.848130i
\(666\) 1.86738e11i 0.949151i
\(667\) −9.33348e10 9.38215e10i −0.471564 0.474023i
\(668\) −1.68047e9 −0.00843965
\(669\) 4.00115e9 + 4.50822e8i 0.0199747 + 0.00225061i
\(670\) 1.34494e10 + 8.45081e9i 0.0667427 + 0.0419372i
\(671\) −4.30678e11 9.82993e10i −2.12453 0.484909i
\(672\) −6.70684e8 + 5.34852e8i −0.00328882 + 0.00262275i
\(673\) 4.84053e10 + 3.86019e10i 0.235957 + 0.188169i 0.734329 0.678794i \(-0.237497\pi\)
−0.498372 + 0.866963i \(0.666069\pi\)
\(674\) 5.68702e9 + 2.49165e10i 0.0275578 + 0.120739i
\(675\) −1.52639e10 5.34108e9i −0.0735278 0.0257285i
\(676\) −8.60229e9 1.78628e10i −0.0411934 0.0855389i
\(677\) 1.59927e11 1.00489e11i 0.761320 0.478369i −0.0945756 0.995518i \(-0.530149\pi\)
0.855896 + 0.517149i \(0.173007\pi\)
\(678\) −4.74435e9 + 1.66012e9i −0.0224522 + 0.00785635i
\(679\) 1.16635e11 + 1.16635e11i 0.548717 + 0.548717i
\(680\) −1.33704e11 + 2.77639e11i −0.625328 + 1.29851i
\(681\) −4.55480e8 4.04250e9i −0.00211778 0.0187958i
\(682\) −4.97775e11 + 5.60858e10i −2.30089 + 0.259248i
\(683\) −3.58758e11 1.72769e11i −1.64861 0.793931i −0.999446 0.0332855i \(-0.989403\pi\)
−0.649168 0.760645i \(-0.724883\pi\)
\(684\) −2.04918e10 + 2.04918e10i −0.0936171 + 0.0936171i
\(685\) 1.75722e11 + 5.02185e11i 0.798112 + 2.28087i
\(686\) 1.05778e11 + 1.68345e11i 0.477638 + 0.760156i
\(687\) −2.40358e9 + 1.15750e9i −0.0107903 + 0.00519632i
\(688\) 9.60081e10 2.74375e11i 0.428503 1.22459i
\(689\) 7.26561e10 1.65833e10i 0.322400 0.0735857i
\(690\) −3.46502e9 + 4.34500e9i −0.0152865 + 0.0191687i
\(691\) 1.79980e11 + 2.25688e11i 0.789427 + 0.989910i 0.999924 + 0.0123158i \(0.00392034\pi\)
−0.210497 + 0.977594i \(0.567508\pi\)
\(692\) −1.43071e10 + 6.26835e10i −0.0623918 + 0.273356i
\(693\) 1.17659e11 1.87253e11i 0.510144 0.811889i
\(694\) 1.11892e10 9.93071e10i 0.0482350 0.428097i
\(695\) 1.12886e11i 0.483839i
\(696\) 5.21177e9 3.25590e9i 0.0222100 0.0138750i
\(697\) 4.23897e10 0.179610
\(698\) −2.98273e11 3.36072e10i −1.25658 0.141583i
\(699\) −6.38444e9 4.01161e9i −0.0267433 0.0168039i
\(700\) −3.16413e10 7.22193e9i −0.131784 0.0300788i
\(701\) 2.72760e11 2.17519e11i 1.12956 0.900792i 0.133637 0.991030i \(-0.457334\pi\)
0.995920 + 0.0902386i \(0.0287630\pi\)
\(702\) −5.13535e9 4.09530e9i −0.0211457 0.0168631i
\(703\) −5.06230e10 2.21794e11i −0.207265 0.908088i
\(704\) 4.17092e11 + 1.45947e11i 1.69801 + 0.594160i
\(705\) 4.76173e9 + 9.88784e9i 0.0192756 + 0.0400262i
\(706\) −2.73906e9 + 1.72106e9i −0.0110251 + 0.00692753i
\(707\) −5.57301e10 + 1.95008e10i −0.223055 + 0.0780504i
\(708\) −1.09886e9 1.09886e9i −0.00437331 0.00437331i
\(709\) −4.22489e10 + 8.77307e10i −0.167198 + 0.347190i −0.967686 0.252159i \(-0.918859\pi\)
0.800488 + 0.599349i \(0.204574\pi\)
\(710\) −2.32404e10 2.06264e11i −0.0914557 0.811692i
\(711\) 2.23916e11 2.52292e10i 0.876205 0.0987246i
\(712\) −3.62035e11 1.74347e11i −1.40874 0.678413i
\(713\) 1.87275e11 1.87275e11i 0.724640 0.724640i
\(714\) 9.75856e8 + 2.78884e9i 0.00375485 + 0.0107308i
\(715\) −2.16013e11 3.43782e11i −0.826524 1.31540i
\(716\) −3.21835e10 + 1.54988e10i −0.122456 + 0.0589719i
\(717\) 2.47399e9 7.07027e9i 0.00936099 0.0267522i
\(718\) 2.81398e11 6.42273e10i 1.05882 0.241670i
\(719\) 5.30906e9 6.65735e9i 0.0198656 0.0249107i −0.771799 0.635866i \(-0.780643\pi\)
0.791665 + 0.610955i \(0.209215\pi\)
\(720\) 2.23716e11 + 2.80532e11i 0.832469 + 1.04388i
\(721\) 3.73529e10 1.63654e11i 0.138224 0.605598i
\(722\) 2.38794e10 3.80039e10i 0.0878769 0.139855i
\(723\) 8.44506e7 7.49520e8i 0.000309065 0.00274303i
\(724\) 2.71552e10i 0.0988324i
\(725\) 4.10532e11 + 1.44851e11i 1.48592 + 0.524287i
\(726\) 1.06194e10 0.0382255
\(727\) 9.28072e10 + 1.04569e10i 0.332234 + 0.0374338i 0.276506 0.961012i \(-0.410823\pi\)
0.0557280 + 0.998446i \(0.482252\pi\)
\(728\) −8.75160e10 5.49900e10i −0.311575 0.195775i
\(729\) 2.74339e11 + 6.26161e10i 0.971353 + 0.221705i
\(730\) −1.23690e10 + 9.86394e9i −0.0435555 + 0.0347343i
\(731\) 2.95019e11 + 2.35270e11i 1.03319 + 0.823942i
\(732\) 3.07796e8 + 1.34854e9i 0.00107206 + 0.00469699i
\(733\) −3.96765e11 1.38834e11i −1.37441 0.480928i −0.460797 0.887506i \(-0.652436\pi\)
−0.913616 + 0.406577i \(0.866722\pi\)
\(734\) −1.37610e11 2.85751e11i −0.474096 0.984471i
\(735\) 6.42918e9 4.03972e9i 0.0220296 0.0138421i
\(736\) −5.36865e10 + 1.87857e10i −0.182959 + 0.0640202i
\(737\) 1.81297e10 + 1.81297e10i 0.0614497 + 0.0614497i
\(738\) 2.51765e10 5.22795e10i 0.0848730 0.176241i
\(739\) −1.63297e10 1.44930e11i −0.0547521 0.485938i −0.990927 0.134403i \(-0.957088\pi\)
0.936175 0.351535i \(-0.114340\pi\)
\(740\) 7.18543e10 8.09604e9i 0.239622 0.0269989i
\(741\) 3.60370e9 + 1.73545e9i 0.0119530 + 0.00575624i
\(742\) −6.49166e10 + 6.49166e10i −0.214161 + 0.214161i
\(743\) −7.10625e10 2.03085e11i −0.233177 0.666380i −0.999708 0.0241733i \(-0.992305\pi\)
0.766531 0.642207i \(-0.221981\pi\)
\(744\) 6.54302e9 + 1.04131e10i 0.0213543 + 0.0339852i
\(745\) −1.41299e11 + 6.80458e10i −0.458683 + 0.220890i
\(746\) 1.13316e10 3.23838e10i 0.0365877 0.104562i
\(747\) −2.72377e11 + 6.21683e10i −0.874759 + 0.199658i
\(748\) −3.95538e10 + 4.95989e10i −0.126352 + 0.158440i
\(749\) −5.13301e10 6.43660e10i −0.163097 0.204517i
\(750\) 1.48630e9 6.51188e9i 0.00469743 0.0205808i
\(751\) 1.70687e11 2.71647e11i 0.536588 0.853975i −0.462886 0.886418i \(-0.653186\pi\)
0.999474 + 0.0324432i \(0.0103288\pi\)
\(752\) 3.33682e10 2.96151e11i 0.104343 0.926066i
\(753\) 1.12044e10i 0.0348505i
\(754\) 1.37957e11 + 1.10605e11i 0.426834 + 0.342208i
\(755\) 1.44715e11 0.445374
\(756\) −1.37665e9 1.55111e8i −0.00421441 0.000474849i
\(757\) 1.55764e11 + 9.78729e10i 0.474333 + 0.298043i 0.747902 0.663809i \(-0.231061\pi\)
−0.273569 + 0.961852i \(0.588204\pi\)
\(758\) 2.10811e11 + 4.81163e10i 0.638583 + 0.145752i
\(759\) −7.01348e9 + 5.59306e9i −0.0211333 + 0.0168532i
\(760\) −4.01780e11 3.20409e11i −1.20430 0.960396i
\(761\) 5.73587e10 + 2.51305e11i 0.171025 + 0.749311i 0.985578 + 0.169222i \(0.0541254\pi\)
−0.814553 + 0.580090i \(0.803017\pi\)
\(762\) 3.66721e9 +