Properties

Label 29.9.f.a.2.7
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 2.7
Character \(\chi\) \(=\) 29.2
Dual form 29.9.f.a.15.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-7.14136 - 0.804638i) q^{2} +(-31.1173 - 19.5523i) q^{3} +(-199.230 - 45.4729i) q^{4} +(-619.444 + 493.990i) q^{5} +(206.487 + 164.668i) q^{6} +(232.502 + 1018.66i) q^{7} +(3122.70 + 1092.68i) q^{8} +(-2260.72 - 4694.43i) q^{9} +O(q^{10})\) \(q+(-7.14136 - 0.804638i) q^{2} +(-31.1173 - 19.5523i) q^{3} +(-199.230 - 45.4729i) q^{4} +(-619.444 + 493.990i) q^{5} +(206.487 + 164.668i) q^{6} +(232.502 + 1018.66i) q^{7} +(3122.70 + 1092.68i) q^{8} +(-2260.72 - 4694.43i) q^{9} +(4821.16 - 3029.33i) q^{10} +(-5468.60 + 1913.55i) q^{11} +(5310.40 + 5310.40i) q^{12} +(5187.02 - 10770.9i) q^{13} +(-840.730 - 7461.68i) q^{14} +(28934.1 - 3260.08i) q^{15} +(25712.6 + 12382.5i) q^{16} +(83423.7 - 83423.7i) q^{17} +(12367.3 + 35343.7i) q^{18} +(51464.2 + 81904.9i) q^{19} +(145875. - 70249.7i) q^{20} +(12682.3 - 36243.8i) q^{21} +(40593.0 - 9265.08i) q^{22} +(95782.2 - 120107. i) q^{23} +(-75805.6 - 95057.2i) q^{24} +(52762.4 - 231167. i) q^{25} +(-45709.1 + 72745.6i) q^{26} +(-48436.1 + 429882. i) q^{27} -213520. i q^{28} +(303364. + 638918. i) q^{29} -209252. q^{30} +(-31594.1 - 3559.80i) q^{31} +(-890783. - 559716. i) q^{32} +(207582. + 47379.3i) q^{33} +(-662885. + 528633. i) q^{34} +(-647229. - 516148. i) q^{35} +(236933. + 1.03807e6i) q^{36} +(-783247. - 274070. i) q^{37} +(-301621. - 626322. i) q^{38} +(-372003. + 233745. i) q^{39} +(-2.47411e6 + 865729. i) q^{40} +(-391202. - 391202. i) q^{41} +(-119732. + 248626. i) q^{42} +(227352. + 2.01781e6i) q^{43} +(1.17652e6 - 132562. i) q^{44} +(3.71939e6 + 1.79116e6i) q^{45} +(-780658. + 780658. i) q^{46} +(-1.78860e6 - 5.11152e6i) q^{47} +(-558000. - 888052. i) q^{48} +(4.21030e6 - 2.02757e6i) q^{49} +(-562801. + 1.60839e6i) q^{50} +(-4.22705e6 + 964796. i) q^{51} +(-1.52320e6 + 1.91003e6i) q^{52} +(721342. + 904534. i) q^{53} +(691799. - 3.03097e6i) q^{54} +(2.44222e6 - 3.88677e6i) q^{55} +(-387033. + 3.43501e6i) q^{56} -3.55490e6i q^{57} +(-1.65233e6 - 4.80685e6i) q^{58} +2.09124e7 q^{59} +(-5.91278e6 - 666210. i) q^{60} +(1.51496e7 + 9.51915e6i) q^{61} +(222760. + 50843.6i) q^{62} +(4.25639e6 - 3.39436e6i) q^{63} +(199016. + 158710. i) q^{64} +(2.10768e6 + 9.23433e6i) q^{65} +(-1.44430e6 - 505381. i) q^{66} +(-5.79541e6 - 1.20343e7i) q^{67} +(-2.04140e7 + 1.28270e7i) q^{68} +(-5.32885e6 + 1.86465e6i) q^{69} +(4.20678e6 + 4.20678e6i) q^{70} +(7.79939e6 - 1.61956e7i) q^{71} +(-1.93003e6 - 1.71295e7i) q^{72} +(3.24084e7 - 3.65155e6i) q^{73} +(5.37293e6 + 2.58746e6i) q^{74} +(-6.16167e6 + 6.16167e6i) q^{75} +(-6.52876e6 - 1.86581e7i) q^{76} +(-3.22071e6 - 5.12573e6i) q^{77} +(2.84469e6 - 1.36993e6i) q^{78} +(-305391. + 872757. i) q^{79} +(-2.20444e7 + 5.03149e6i) q^{80} +(-1.14020e7 + 1.42976e7i) q^{81} +(2.47894e6 + 3.10849e6i) q^{82} +(-2.99823e6 + 1.31361e7i) q^{83} +(-4.17480e6 + 6.64415e6i) q^{84} +(-1.04658e7 + 9.28868e7i) q^{85} -1.45928e7i q^{86} +(3.05245e6 - 2.58129e7i) q^{87} -1.91677e7 q^{88} +(-1.11268e8 - 1.25369e7i) q^{89} +(-2.51203e7 - 1.57841e7i) q^{90} +(1.21779e7 + 2.77953e6i) q^{91} +(-2.45443e7 + 1.95734e7i) q^{92} +(913520. + 728508. i) q^{93} +(8.66010e6 + 3.79424e7i) q^{94} +(-7.23394e7 - 2.53127e7i) q^{95} +(1.67750e7 + 3.48337e7i) q^{96} +(1.81255e7 - 1.13890e7i) q^{97} +(-3.16987e7 + 1.10919e7i) q^{98} +(2.13460e7 + 2.13460e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.14136 0.804638i −0.446335 0.0502899i −0.114063 0.993474i \(-0.536387\pi\)
−0.332272 + 0.943184i \(0.607815\pi\)
\(3\) −31.1173 19.5523i −0.384164 0.241386i 0.326079 0.945342i \(-0.394272\pi\)
−0.710243 + 0.703956i \(0.751415\pi\)
\(4\) −199.230 45.4729i −0.778242 0.177629i
\(5\) −619.444 + 493.990i −0.991110 + 0.790384i −0.977803 0.209527i \(-0.932807\pi\)
−0.0133076 + 0.999911i \(0.504236\pi\)
\(6\) 206.487 + 164.668i 0.159327 + 0.127059i
\(7\) 232.502 + 1018.66i 0.0968355 + 0.424264i 0.999987 0.00505756i \(-0.00160988\pi\)
−0.903152 + 0.429321i \(0.858753\pi\)
\(8\) 3122.70 + 1092.68i 0.762378 + 0.266768i
\(9\) −2260.72 4694.43i −0.344569 0.715505i
\(10\) 4821.16 3029.33i 0.482116 0.302933i
\(11\) −5468.60 + 1913.55i −0.373513 + 0.130698i −0.510506 0.859874i \(-0.670542\pi\)
0.136993 + 0.990572i \(0.456256\pi\)
\(12\) 5310.40 + 5310.40i 0.256095 + 0.256095i
\(13\) 5187.02 10770.9i 0.181612 0.377121i −0.790210 0.612836i \(-0.790029\pi\)
0.971822 + 0.235715i \(0.0757431\pi\)
\(14\) −840.730 7461.68i −0.0218849 0.194234i
\(15\) 28934.1 3260.08i 0.571537 0.0643967i
\(16\) 25712.6 + 12382.5i 0.392343 + 0.188943i
\(17\) 83423.7 83423.7i 0.998836 0.998836i −0.00116372 0.999999i \(-0.500370\pi\)
0.999999 + 0.00116372i \(0.000370423\pi\)
\(18\) 12367.3 + 35343.7i 0.117811 + 0.336683i
\(19\) 51464.2 + 81904.9i 0.394904 + 0.628486i 0.983705 0.179793i \(-0.0575426\pi\)
−0.588801 + 0.808278i \(0.700400\pi\)
\(20\) 145875. 70249.7i 0.911718 0.439060i
\(21\) 12682.3 36243.8i 0.0652108 0.186362i
\(22\) 40593.0 9265.08i 0.173285 0.0395511i
\(23\) 95782.2 120107.i 0.342274 0.429198i −0.580666 0.814142i \(-0.697208\pi\)
0.922940 + 0.384944i \(0.125779\pi\)
\(24\) −75805.6 95057.2i −0.228484 0.286510i
\(25\) 52762.4 231167.i 0.135072 0.591788i
\(26\) −45709.1 + 72745.6i −0.100025 + 0.159189i
\(27\) −48436.1 + 429882.i −0.0911410 + 0.808899i
\(28\) 213520.i 0.347381i
\(29\) 303364. + 638918.i 0.428916 + 0.903344i
\(30\) −209252. −0.258335
\(31\) −31594.1 3559.80i −0.0342105 0.00385459i 0.0948427 0.995492i \(-0.469765\pi\)
−0.129053 + 0.991638i \(0.541194\pi\)
\(32\) −890783. 559716.i −0.849517 0.533787i
\(33\) 207582. + 47379.3i 0.175039 + 0.0399515i
\(34\) −662885. + 528633.i −0.496047 + 0.395584i
\(35\) −647229. 516148.i −0.431306 0.343955i
\(36\) 236933. + 1.03807e6i 0.141064 + 0.618041i
\(37\) −783247. 274070.i −0.417919 0.146236i 0.113124 0.993581i \(-0.463914\pi\)
−0.531043 + 0.847345i \(0.678200\pi\)
\(38\) −301621. 626322.i −0.144653 0.300375i
\(39\) −372003. + 233745.i −0.160801 + 0.101038i
\(40\) −2.47411e6 + 865729.i −0.966449 + 0.338175i
\(41\) −391202. 391202.i −0.138441 0.138441i 0.634490 0.772931i \(-0.281210\pi\)
−0.772931 + 0.634490i \(0.781210\pi\)
\(42\) −119732. + 248626.i −0.0384780 + 0.0799003i
\(43\) 227352. + 2.01781e6i 0.0665007 + 0.590210i 0.982132 + 0.188191i \(0.0602626\pi\)
−0.915632 + 0.402018i \(0.868309\pi\)
\(44\) 1.17652e6 132562.i 0.313899 0.0353679i
\(45\) 3.71939e6 + 1.79116e6i 0.907030 + 0.436803i
\(46\) −780658. + 780658.i −0.174353 + 0.174353i
\(47\) −1.78860e6 5.11152e6i −0.366540 1.04751i −0.968506 0.248989i \(-0.919902\pi\)
0.601966 0.798521i \(-0.294384\pi\)
\(48\) −558000. 888052.i −0.105116 0.167291i
\(49\) 4.21030e6 2.02757e6i 0.730346 0.351716i
\(50\) −562801. + 1.60839e6i −0.0900482 + 0.257343i
\(51\) −4.22705e6 + 964796.i −0.624822 + 0.142612i
\(52\) −1.52320e6 + 1.91003e6i −0.208325 + 0.261232i
\(53\) 721342. + 904534.i 0.0914192 + 0.114636i 0.825437 0.564494i \(-0.190929\pi\)
−0.734018 + 0.679130i \(0.762357\pi\)
\(54\) 691799. 3.03097e6i 0.0813589 0.356457i
\(55\) 2.44222e6 3.88677e6i 0.266891 0.424755i
\(56\) −387033. + 3.43501e6i −0.0393546 + 0.349282i
\(57\) 3.55490e6i 0.336766i
\(58\) −1.65233e6 4.80685e6i −0.146011 0.424765i
\(59\) 2.09124e7 1.72582 0.862910 0.505358i \(-0.168639\pi\)
0.862910 + 0.505358i \(0.168639\pi\)
\(60\) −5.91278e6 666210.i −0.456233 0.0514051i
\(61\) 1.51496e7 + 9.51915e6i 1.09417 + 0.687510i 0.953150 0.302498i \(-0.0978205\pi\)
0.141015 + 0.990007i \(0.454963\pi\)
\(62\) 222760. + 50843.6i 0.0150755 + 0.00344088i
\(63\) 4.25639e6 3.39436e6i 0.270196 0.215474i
\(64\) 199016. + 158710.i 0.0118623 + 0.00945985i
\(65\) 2.10768e6 + 9.23433e6i 0.118073 + 0.517312i
\(66\) −1.44430e6 505381.i −0.0761169 0.0266344i
\(67\) −5.79541e6 1.20343e7i −0.287598 0.597202i 0.706250 0.707963i \(-0.250386\pi\)
−0.993847 + 0.110760i \(0.964671\pi\)
\(68\) −2.04140e7 + 1.28270e7i −0.954758 + 0.599914i
\(69\) −5.32885e6 + 1.86465e6i −0.235092 + 0.0822621i
\(70\) 4.20678e6 + 4.20678e6i 0.175210 + 0.175210i
\(71\) 7.79939e6 1.61956e7i 0.306921 0.637329i −0.689272 0.724503i \(-0.742069\pi\)
0.996193 + 0.0871742i \(0.0277837\pi\)
\(72\) −1.93003e6 1.71295e7i −0.0718183 0.637405i
\(73\) 3.24084e7 3.65155e6i 1.14121 0.128584i 0.478941 0.877847i \(-0.341021\pi\)
0.662272 + 0.749263i \(0.269592\pi\)
\(74\) 5.37293e6 + 2.58746e6i 0.179178 + 0.0862874i
\(75\) −6.16167e6 + 6.16167e6i −0.194739 + 0.194739i
\(76\) −6.52876e6 1.86581e7i −0.195694 0.559260i
\(77\) −3.22071e6 5.12573e6i −0.0916197 0.145812i
\(78\) 2.84469e6 1.36993e6i 0.0768521 0.0370100i
\(79\) −305391. + 872757.i −0.00784057 + 0.0224071i −0.947737 0.319052i \(-0.896635\pi\)
0.939897 + 0.341459i \(0.110921\pi\)
\(80\) −2.20444e7 + 5.03149e6i −0.538193 + 0.122839i
\(81\) −1.14020e7 + 1.42976e7i −0.264875 + 0.332142i
\(82\) 2.47894e6 + 3.10849e6i 0.0548291 + 0.0687535i
\(83\) −2.99823e6 + 1.31361e7i −0.0631760 + 0.276792i −0.996643 0.0818714i \(-0.973910\pi\)
0.933467 + 0.358664i \(0.116767\pi\)
\(84\) −4.17480e6 + 6.64415e6i −0.0838529 + 0.133451i
\(85\) −1.04658e7 + 9.28868e7i −0.200492 + 1.77942i
\(86\) 1.45928e7i 0.266776i
\(87\) 3.05245e6 2.58129e7i 0.0532809 0.450567i
\(88\) −1.91677e7 −0.319624
\(89\) −1.11268e8 1.25369e7i −1.77341 0.199815i −0.836162 0.548482i \(-0.815206\pi\)
−0.937247 + 0.348667i \(0.886634\pi\)
\(90\) −2.51203e7 1.57841e7i −0.382872 0.240575i
\(91\) 1.21779e7 + 2.77953e6i 0.177585 + 0.0405327i
\(92\) −2.45443e7 + 1.95734e7i −0.342609 + 0.273222i
\(93\) 913520. + 728508.i 0.0122120 + 0.00973873i
\(94\) 8.66010e6 + 3.79424e7i 0.110920 + 0.485974i
\(95\) −7.23394e7 2.53127e7i −0.888138 0.310773i
\(96\) 1.67750e7 + 3.48337e7i 0.197505 + 0.410123i
\(97\) 1.81255e7 1.13890e7i 0.204741 0.128647i −0.425759 0.904837i \(-0.639993\pi\)
0.630500 + 0.776190i \(0.282850\pi\)
\(98\) −3.16987e7 + 1.10919e7i −0.343667 + 0.120254i
\(99\) 2.13460e7 + 2.13460e7i 0.222216 + 0.222216i
\(100\) −2.10237e7 + 4.36562e7i −0.210237 + 0.436562i
\(101\) −2.12199e7 1.88331e8i −0.203919 1.80983i −0.512561 0.858651i \(-0.671303\pi\)
0.308643 0.951178i \(-0.400125\pi\)
\(102\) 3.09632e7 3.48871e6i 0.286052 0.0322303i
\(103\) 1.45052e8 + 6.98532e7i 1.28876 + 0.620636i 0.947628 0.319377i \(-0.103474\pi\)
0.341137 + 0.940014i \(0.389188\pi\)
\(104\) 2.79667e7 2.79667e7i 0.239060 0.239060i
\(105\) 1.00481e7 + 2.87159e7i 0.0826663 + 0.236247i
\(106\) −4.42354e6 7.04002e6i −0.0350386 0.0557636i
\(107\) 1.74953e8 8.42529e7i 1.33471 0.642761i 0.375858 0.926677i \(-0.377348\pi\)
0.958849 + 0.283916i \(0.0916337\pi\)
\(108\) 2.91979e7 8.34429e7i 0.214613 0.613330i
\(109\) 2.22735e8 5.08379e7i 1.57791 0.360148i 0.658232 0.752815i \(-0.271305\pi\)
0.919681 + 0.392667i \(0.128447\pi\)
\(110\) −2.05682e7 + 2.57917e7i −0.140484 + 0.176161i
\(111\) 1.90138e7 + 2.38426e7i 0.125250 + 0.157059i
\(112\) −6.63534e6 + 2.90713e7i −0.0421688 + 0.184753i
\(113\) 1.91649e7 3.05008e7i 0.117542 0.187067i −0.782771 0.622310i \(-0.786195\pi\)
0.900313 + 0.435243i \(0.143337\pi\)
\(114\) −2.86041e6 + 2.53868e7i −0.0169359 + 0.150310i
\(115\) 1.21715e8i 0.695910i
\(116\) −3.13857e7 1.41087e8i −0.173340 0.779208i
\(117\) −6.22898e7 −0.332410
\(118\) −1.49343e8 1.68269e7i −0.770294 0.0867913i
\(119\) 1.04376e8 + 6.55841e7i 0.520493 + 0.327047i
\(120\) 9.39146e7 + 2.14354e7i 0.452906 + 0.103373i
\(121\) −1.41349e8 + 1.12722e8i −0.659402 + 0.525855i
\(122\) −1.00530e8 8.01697e7i −0.453790 0.361885i
\(123\) 4.52426e6 + 1.98221e7i 0.0197664 + 0.0866021i
\(124\) 6.13261e6 + 2.14589e6i 0.0259393 + 0.00907656i
\(125\) −5.27725e7 1.09583e8i −0.216156 0.448853i
\(126\) −3.31277e7 + 2.08155e7i −0.131434 + 0.0825857i
\(127\) 2.52222e8 8.82564e7i 0.969546 0.339259i 0.201383 0.979513i \(-0.435457\pi\)
0.768163 + 0.640254i \(0.221171\pi\)
\(128\) 1.89145e8 + 1.89145e8i 0.704620 + 0.704620i
\(129\) 3.23782e7 6.72340e7i 0.116921 0.242790i
\(130\) −7.62138e6 6.76416e7i −0.0266846 0.236832i
\(131\) −1.75560e8 + 1.97808e7i −0.596128 + 0.0671675i −0.404873 0.914373i \(-0.632684\pi\)
−0.191255 + 0.981540i \(0.561256\pi\)
\(132\) −3.92021e7 1.88788e7i −0.129126 0.0621838i
\(133\) −7.14675e7 + 7.14675e7i −0.228403 + 0.228403i
\(134\) 3.17039e7 + 9.06045e7i 0.0983316 + 0.281016i
\(135\) −1.82354e8 2.90215e8i −0.549010 0.873745i
\(136\) 3.51663e8 1.69352e8i 1.02795 0.495033i
\(137\) −4.38528e7 + 1.25324e8i −0.124485 + 0.355756i −0.989213 0.146483i \(-0.953205\pi\)
0.864729 + 0.502239i \(0.167490\pi\)
\(138\) 3.95556e7 9.02831e6i 0.109067 0.0248937i
\(139\) −2.65895e8 + 3.33422e8i −0.712281 + 0.893172i −0.997874 0.0651787i \(-0.979238\pi\)
0.285592 + 0.958351i \(0.407810\pi\)
\(140\) 1.05477e8 + 1.32263e8i 0.274564 + 0.344293i
\(141\) −4.42856e7 + 1.94028e8i −0.112043 + 0.490894i
\(142\) −6.87298e7 + 1.09383e8i −0.169041 + 0.269027i
\(143\) −7.75501e6 + 6.88276e7i −0.0185455 + 0.164596i
\(144\) 1.48699e8i 0.345827i
\(145\) −5.03536e8 2.45915e8i −1.13909 0.556306i
\(146\) −2.34379e8 −0.515830
\(147\) −1.70657e8 1.92284e7i −0.365472 0.0411788i
\(148\) 1.43584e8 + 9.02195e7i 0.299266 + 0.188041i
\(149\) −6.17642e8 1.40973e8i −1.25312 0.286016i −0.456076 0.889941i \(-0.650745\pi\)
−0.797041 + 0.603925i \(0.793603\pi\)
\(150\) 4.89606e7 3.90448e7i 0.0967124 0.0771255i
\(151\) −4.78653e7 3.81713e7i −0.0920688 0.0734225i 0.576374 0.817186i \(-0.304467\pi\)
−0.668443 + 0.743764i \(0.733039\pi\)
\(152\) 7.12116e7 + 3.11998e8i 0.133406 + 0.584491i
\(153\) −5.80224e8 2.03029e8i −1.05884 0.370504i
\(154\) 1.88759e7 + 3.91962e7i 0.0335602 + 0.0696885i
\(155\) 2.13293e7 1.34021e7i 0.0369529 0.0232191i
\(156\) 8.47431e7 2.96529e7i 0.143089 0.0500690i
\(157\) 1.28502e8 + 1.28502e8i 0.211500 + 0.211500i 0.804905 0.593404i \(-0.202216\pi\)
−0.593404 + 0.804905i \(0.702216\pi\)
\(158\) 2.88316e6 5.98695e6i 0.00462637 0.00960676i
\(159\) −4.76049e6 4.22505e7i −0.00744840 0.0661064i
\(160\) 8.28284e8 9.33252e7i 1.26386 0.142403i
\(161\) 1.44618e8 + 6.96441e7i 0.215237 + 0.103653i
\(162\) 9.29301e7 9.29301e7i 0.134926 0.134926i
\(163\) 2.72096e8 + 7.77604e8i 0.385453 + 1.10156i 0.959249 + 0.282562i \(0.0911844\pi\)
−0.573796 + 0.818998i \(0.694530\pi\)
\(164\) 6.01501e7 + 9.57283e7i 0.0831498 + 0.132332i
\(165\) −1.51991e8 + 7.31948e7i −0.205060 + 0.0987516i
\(166\) 3.19812e7 9.13971e7i 0.0421175 0.120365i
\(167\) −2.23020e8 + 5.09029e7i −0.286734 + 0.0654451i −0.363469 0.931606i \(-0.618408\pi\)
0.0767350 + 0.997052i \(0.475550\pi\)
\(168\) 7.92058e7 9.93209e7i 0.0994305 0.124682i
\(169\) 4.19492e8 + 5.26026e8i 0.514253 + 0.644852i
\(170\) 1.49481e8 6.54917e8i 0.178974 0.784135i
\(171\) 2.68150e8 4.26759e8i 0.313613 0.499112i
\(172\) 4.64603e7 4.12346e8i 0.0530845 0.471138i
\(173\) 3.83953e8i 0.428641i −0.976763 0.214321i \(-0.931246\pi\)
0.976763 0.214321i \(-0.0687538\pi\)
\(174\) −4.25687e7 + 1.81883e8i −0.0464401 + 0.198424i
\(175\) 2.47748e8 0.264154
\(176\) −1.64307e8 1.85129e7i −0.171240 0.0192941i
\(177\) −6.50737e8 4.08885e8i −0.662998 0.416589i
\(178\) 7.84515e8 + 1.79060e8i 0.781486 + 0.178369i
\(179\) 3.24629e8 2.58883e8i 0.316210 0.252169i −0.452503 0.891763i \(-0.649469\pi\)
0.768713 + 0.639594i \(0.220897\pi\)
\(180\) −6.59564e8 5.25985e8i −0.628300 0.501052i
\(181\) 1.09813e8 + 4.81122e8i 0.102315 + 0.448271i 0.999971 + 0.00757485i \(0.00241117\pi\)
−0.897656 + 0.440696i \(0.854732\pi\)
\(182\) −8.47303e7 2.96484e7i −0.0772242 0.0270219i
\(183\) −2.85294e8 5.92420e8i −0.254384 0.528233i
\(184\) 4.30338e8 2.70399e8i 0.375438 0.235903i
\(185\) 6.20566e8 2.17145e8i 0.529787 0.185380i
\(186\) −5.93759e6 5.93759e6i −0.00496088 0.00496088i
\(187\) −2.96576e8 + 6.15847e8i −0.242532 + 0.503624i
\(188\) 1.23906e8 + 1.09970e9i 0.0991888 + 0.880325i
\(189\) −4.49164e8 + 5.06086e7i −0.352012 + 0.0396623i
\(190\) 4.96234e8 + 2.38974e8i 0.380779 + 0.183373i
\(191\) 2.03930e8 2.03930e8i 0.153231 0.153231i −0.626328 0.779559i \(-0.715443\pi\)
0.779559 + 0.626328i \(0.215443\pi\)
\(192\) −3.08970e6 8.82984e6i −0.00227358 0.00649753i
\(193\) 1.18330e9 + 1.88321e9i 0.852835 + 1.35728i 0.932767 + 0.360479i \(0.117387\pi\)
−0.0799323 + 0.996800i \(0.525470\pi\)
\(194\) −1.38605e8 + 6.67487e7i −0.0978526 + 0.0471233i
\(195\) 1.14967e8 3.28557e8i 0.0795125 0.227234i
\(196\) −9.31017e8 + 2.12499e8i −0.630861 + 0.143990i
\(197\) 9.50101e8 1.19139e9i 0.630819 0.791022i −0.359002 0.933337i \(-0.616883\pi\)
0.989822 + 0.142314i \(0.0454544\pi\)
\(198\) −1.35264e8 1.69615e8i −0.0880076 0.110358i
\(199\) 4.56957e8 2.00206e9i 0.291382 1.27663i −0.591220 0.806510i \(-0.701354\pi\)
0.882603 0.470120i \(-0.155789\pi\)
\(200\) 4.17353e8 6.64213e8i 0.260845 0.415133i
\(201\) −5.49605e7 + 4.87788e8i −0.0336718 + 0.298846i
\(202\) 1.36202e9i 0.818045i
\(203\) −5.80306e8 + 4.57574e8i −0.341722 + 0.269449i
\(204\) 8.86026e8 0.511595
\(205\) 4.35578e8 + 4.90779e7i 0.246633 + 0.0277888i
\(206\) −9.79659e8 6.15561e8i −0.544009 0.341824i
\(207\) −7.80370e8 1.78114e8i −0.425030 0.0970103i
\(208\) 2.66743e8 2.12721e8i 0.142508 0.113647i
\(209\) −4.38166e8 3.49426e8i −0.229643 0.183134i
\(210\) −4.86514e7 2.13156e8i −0.0250160 0.109602i
\(211\) 2.12507e9 + 7.43593e8i 1.07212 + 0.375150i 0.807904 0.589314i \(-0.200602\pi\)
0.264214 + 0.964464i \(0.414888\pi\)
\(212\) −1.02581e8 2.13012e8i −0.0507836 0.105453i
\(213\) −5.59357e8 + 3.51467e8i −0.271751 + 0.170752i
\(214\) −1.31719e9 + 4.60906e8i −0.628051 + 0.219765i
\(215\) −1.13761e9 1.13761e9i −0.532402 0.532402i
\(216\) −6.20975e8 + 1.28947e9i −0.285272 + 0.592373i
\(217\) −3.71947e6 3.30112e7i −0.00167742 0.0148875i
\(218\) −1.63154e9 + 1.83830e8i −0.722390 + 0.0813938i
\(219\) −1.07986e9 5.20033e8i −0.469451 0.226076i
\(220\) −6.63306e8 + 6.63306e8i −0.283154 + 0.283154i
\(221\) −4.65833e8 1.33127e9i −0.195281 0.558082i
\(222\) −1.16600e8 1.85568e8i −0.0480050 0.0763996i
\(223\) −2.64436e9 + 1.27346e9i −1.06930 + 0.514950i −0.883882 0.467709i \(-0.845080\pi\)
−0.185422 + 0.982659i \(0.559365\pi\)
\(224\) 3.63050e8 1.03754e9i 0.144203 0.412109i
\(225\) −1.20448e9 + 2.74914e8i −0.469969 + 0.107267i
\(226\) −1.61406e8 + 2.02396e8i −0.0618707 + 0.0775834i
\(227\) 2.72545e9 + 3.41761e9i 1.02644 + 1.28712i 0.957172 + 0.289521i \(0.0934961\pi\)
0.0692716 + 0.997598i \(0.477932\pi\)
\(228\) −1.61652e8 + 7.08243e8i −0.0598193 + 0.262085i
\(229\) 9.90363e8 1.57615e9i 0.360124 0.573135i −0.616694 0.787203i \(-0.711529\pi\)
0.976819 + 0.214068i \(0.0686714\pi\)
\(230\) 9.79366e7 8.69211e8i 0.0349972 0.310609i
\(231\) 2.22471e8i 0.0781314i
\(232\) 2.49181e8 + 2.32663e9i 0.0860129 + 0.803111i
\(233\) −1.80166e9 −0.611292 −0.305646 0.952145i \(-0.598872\pi\)
−0.305646 + 0.952145i \(0.598872\pi\)
\(234\) 4.44834e8 + 5.01208e7i 0.148366 + 0.0167168i
\(235\) 3.63297e9 + 2.28275e9i 1.19122 + 0.748491i
\(236\) −4.16637e9 9.50947e8i −1.34311 0.306555i
\(237\) 2.65673e7 2.11867e7i 0.00842083 0.00671538i
\(238\) −6.92618e8 5.52345e8i −0.215867 0.172148i
\(239\) −1.72912e8 7.57578e8i −0.0529949 0.232186i 0.941494 0.337031i \(-0.109423\pi\)
−0.994489 + 0.104845i \(0.966565\pi\)
\(240\) 7.84338e8 + 2.74452e8i 0.236406 + 0.0827220i
\(241\) −1.20432e9 2.50079e9i −0.357004 0.741326i 0.642689 0.766127i \(-0.277819\pi\)
−0.999692 + 0.0248018i \(0.992105\pi\)
\(242\) 1.10012e9 6.91252e8i 0.320759 0.201546i
\(243\) 3.31338e9 1.15940e9i 0.950267 0.332513i
\(244\) −2.58540e9 2.58540e9i −0.729404 0.729404i
\(245\) −1.60644e9 + 3.33581e9i −0.445863 + 0.925843i
\(246\) −1.63598e7 1.45197e8i −0.00446721 0.0396476i
\(247\) 1.14914e9 1.29477e8i 0.308734 0.0347860i
\(248\) −9.47691e7 4.56384e7i −0.0250530 0.0120649i
\(249\) 3.50137e8 3.50137e8i 0.0910838 0.0910838i
\(250\) 2.88692e8 + 8.25036e8i 0.0739053 + 0.211209i
\(251\) 1.64272e9 + 2.61438e9i 0.413875 + 0.658678i 0.986987 0.160799i \(-0.0514070\pi\)
−0.573112 + 0.819477i \(0.694264\pi\)
\(252\) −1.00235e9 + 4.82708e8i −0.248553 + 0.119697i
\(253\) −2.93964e8 + 8.40101e8i −0.0717484 + 0.205045i
\(254\) −1.87222e9 + 4.27323e8i −0.449804 + 0.102665i
\(255\) 2.14182e9 2.68576e9i 0.506550 0.635193i
\(256\) −1.23919e9 1.55389e9i −0.288521 0.361794i
\(257\) −1.40129e8 + 6.13943e8i −0.0321214 + 0.140733i −0.988446 0.151574i \(-0.951566\pi\)
0.956325 + 0.292307i \(0.0944229\pi\)
\(258\) −2.85323e8 + 4.54090e8i −0.0643960 + 0.102486i
\(259\) 9.70771e7 8.61583e8i 0.0215734 0.191469i
\(260\) 1.93560e9i 0.423567i
\(261\) 2.31354e9 2.86853e9i 0.498556 0.618156i
\(262\) 1.26965e9 0.269451
\(263\) 6.94214e9 + 7.82191e8i 1.45101 + 0.163490i 0.802015 0.597304i \(-0.203761\pi\)
0.648994 + 0.760793i \(0.275190\pi\)
\(264\) 5.96447e8 + 3.74772e8i 0.122788 + 0.0771528i
\(265\) −8.93661e8 2.03972e8i −0.181213 0.0413607i
\(266\) 5.67881e8 4.52870e8i 0.113431 0.0904580i
\(267\) 3.21722e9 + 2.56565e9i 0.633047 + 0.504838i
\(268\) 6.07385e8 + 2.66113e9i 0.117740 + 0.515854i
\(269\) 1.58614e8 + 5.55013e7i 0.0302922 + 0.0105997i 0.345383 0.938462i \(-0.387749\pi\)
−0.315090 + 0.949062i \(0.602035\pi\)
\(270\) 1.06874e9 + 2.21926e9i 0.201102 + 0.417593i
\(271\) 8.40628e9 5.28201e9i 1.55857 0.979315i 0.571214 0.820801i \(-0.306473\pi\)
0.987357 0.158513i \(-0.0506701\pi\)
\(272\) 3.17804e9 1.11204e9i 0.580609 0.203164i
\(273\) −3.24597e8 3.24597e8i −0.0584378 0.0584378i
\(274\) 4.14010e8 8.59700e8i 0.0734528 0.152526i
\(275\) 1.53813e8 + 1.36512e9i 0.0268944 + 0.238694i
\(276\) 1.14646e9 1.29175e8i 0.197570 0.0222608i
\(277\) −8.61662e9 4.14955e9i −1.46358 0.704825i −0.478691 0.877984i \(-0.658888\pi\)
−0.984894 + 0.173158i \(0.944603\pi\)
\(278\) 2.16714e9 2.16714e9i 0.362834 0.362834i
\(279\) 5.47141e7 + 1.56364e8i 0.00902988 + 0.0258059i
\(280\) −1.45712e9 2.31899e9i −0.237062 0.377282i
\(281\) −2.84672e9 + 1.37091e9i −0.456582 + 0.219878i −0.648015 0.761627i \(-0.724401\pi\)
0.191433 + 0.981506i \(0.438686\pi\)
\(282\) 4.72381e8 1.34999e9i 0.0746958 0.213468i
\(283\) 2.79551e9 6.38058e8i 0.435829 0.0994751i 0.00102328 0.999999i \(-0.499674\pi\)
0.434805 + 0.900524i \(0.356817\pi\)
\(284\) −2.29033e9 + 2.87199e9i −0.352067 + 0.441478i
\(285\) 1.75609e9 + 2.20206e9i 0.266174 + 0.333772i
\(286\) 1.10763e8 4.85283e8i 0.0165550 0.0725322i
\(287\) 3.07546e8 4.89457e8i 0.0453297 0.0721417i
\(288\) −6.13738e8 + 5.44708e9i −0.0892099 + 0.791760i
\(289\) 6.94329e9i 0.995345i
\(290\) 3.39806e9 + 2.16133e9i 0.480440 + 0.305584i
\(291\) −7.86699e8 −0.109708
\(292\) −6.62278e9 7.46208e8i −0.910980 0.102643i
\(293\) −8.11789e8 5.10081e8i −0.110147 0.0692099i 0.475832 0.879536i \(-0.342147\pi\)
−0.585979 + 0.810326i \(0.699290\pi\)
\(294\) 1.20325e9 + 2.74634e8i 0.161052 + 0.0367591i
\(295\) −1.29540e10 + 1.03305e10i −1.71048 + 1.36406i
\(296\) −2.14638e9 1.71168e9i −0.279601 0.222974i
\(297\) −5.57722e8 2.44354e9i −0.0716790 0.314046i
\(298\) 4.29737e9 + 1.50371e9i 0.544926 + 0.190678i
\(299\) −7.96843e8 1.65466e9i −0.0996984 0.207026i
\(300\) 1.50778e9 9.47400e8i 0.186145 0.116963i
\(301\) −2.00260e9 + 7.00739e8i −0.243965 + 0.0853671i
\(302\) 3.11109e8 + 3.11109e8i 0.0374012 + 0.0374012i
\(303\) −3.02201e9 + 6.27526e9i −0.358530 + 0.744494i
\(304\) 3.09090e8 + 2.74325e9i 0.0361901 + 0.321196i
\(305\) −1.40867e10 + 1.58719e9i −1.62783 + 0.183413i
\(306\) 3.98023e9 + 1.91678e9i 0.453965 + 0.218618i
\(307\) 6.51026e9 6.51026e9i 0.732900 0.732900i −0.238293 0.971193i \(-0.576588\pi\)
0.971193 + 0.238293i \(0.0765878\pi\)
\(308\) 4.08580e8 + 1.16765e9i 0.0454019 + 0.129751i
\(309\) −3.14782e9 5.00973e9i −0.345284 0.549516i
\(310\) −1.63104e8 + 7.85466e7i −0.0176611 + 0.00850513i
\(311\) 1.32973e9 3.80014e9i 0.142141 0.406217i −0.850701 0.525650i \(-0.823822\pi\)
0.992842 + 0.119433i \(0.0381078\pi\)
\(312\) −1.41706e9 + 3.23435e8i −0.149544 + 0.0341325i
\(313\) −9.57512e9 + 1.20068e10i −0.997624 + 1.25098i −0.0297468 + 0.999557i \(0.509470\pi\)
−0.967877 + 0.251423i \(0.919101\pi\)
\(314\) −8.14281e8 1.02108e9i −0.0837637 0.105036i
\(315\) −9.59817e8 + 4.20523e9i −0.0974869 + 0.427118i
\(316\) 1.00530e8 1.59992e8i 0.0100820 0.0160454i
\(317\) −9.72233e8 + 8.62881e9i −0.0962794 + 0.854504i 0.849034 + 0.528339i \(0.177185\pi\)
−0.945313 + 0.326165i \(0.894244\pi\)
\(318\) 3.05557e8i 0.0298802i
\(319\) −2.88158e9 2.91349e9i −0.278271 0.281352i
\(320\) −2.01680e8 −0.0192337
\(321\) −7.09140e9 7.99008e8i −0.667900 0.0752543i
\(322\) −9.76728e8 6.13719e8i −0.0908553 0.0570881i
\(323\) 1.11262e10 + 2.53947e9i 1.02220 + 0.233310i
\(324\) 2.92177e9 2.33004e9i 0.265134 0.211438i
\(325\) −2.21621e9 1.76737e9i −0.198645 0.158414i
\(326\) −1.31744e9 5.77209e9i −0.116644 0.511049i
\(327\) −7.92492e9 2.77305e9i −0.693112 0.242530i
\(328\) −7.94149e8 1.64907e9i −0.0686130 0.142476i
\(329\) 4.79103e9 3.01041e9i 0.408927 0.256946i
\(330\) 1.14431e9 4.00413e8i 0.0964916 0.0337639i
\(331\) 3.21134e9 + 3.21134e9i 0.267531 + 0.267531i 0.828105 0.560574i \(-0.189419\pi\)
−0.560574 + 0.828105i \(0.689419\pi\)
\(332\) 1.19467e9 2.48077e9i 0.0983325 0.204189i
\(333\) 4.84099e8 + 4.29649e9i 0.0393692 + 0.349412i
\(334\) 1.63363e9 1.84066e8i 0.131270 0.0147906i
\(335\) 9.53476e9 + 4.59170e9i 0.757060 + 0.364581i
\(336\) 7.74885e8 7.74885e8i 0.0607967 0.0607967i
\(337\) −2.94358e9 8.41228e9i −0.228222 0.652220i −0.999869 0.0161698i \(-0.994853\pi\)
0.771648 0.636050i \(-0.219433\pi\)
\(338\) −2.57248e9 4.09408e9i −0.197099 0.313682i
\(339\) −1.19272e9 + 5.74384e8i −0.0903108 + 0.0434914i
\(340\) 6.30894e9 1.80299e10i 0.472108 1.34921i
\(341\) 1.79587e8 4.09896e7i 0.0132818 0.00303149i
\(342\) −2.25835e9 + 2.83188e9i −0.165077 + 0.207000i
\(343\) 6.79982e9 + 8.52671e9i 0.491271 + 0.616034i
\(344\) −1.49487e9 + 6.54944e9i −0.106750 + 0.467703i
\(345\) 2.37981e9 3.78744e9i 0.167983 0.267344i
\(346\) −3.08944e8 + 2.74195e9i −0.0215563 + 0.191318i
\(347\) 2.79788e10i 1.92979i −0.262632 0.964896i \(-0.584591\pi\)
0.262632 0.964896i \(-0.415409\pi\)
\(348\) −1.78193e9 + 5.00389e9i −0.121499 + 0.341186i
\(349\) 8.07469e9 0.544283 0.272141 0.962257i \(-0.412268\pi\)
0.272141 + 0.962257i \(0.412268\pi\)
\(350\) −1.76926e9 1.99347e8i −0.117901 0.0132843i
\(351\) 4.37900e9 + 2.75151e9i 0.288500 + 0.181277i
\(352\) 5.94238e9 + 1.35631e9i 0.387070 + 0.0883463i
\(353\) −1.83273e10 + 1.46156e10i −1.18032 + 0.941276i −0.999111 0.0421685i \(-0.986573\pi\)
−0.181212 + 0.983444i \(0.558002\pi\)
\(354\) 4.31814e9 + 3.44360e9i 0.274969 + 0.219281i
\(355\) 3.16918e9 + 1.38851e10i 0.199542 + 0.874249i
\(356\) 2.15978e10 + 7.55738e9i 1.34465 + 0.470513i
\(357\) −1.96559e9 4.08160e9i −0.121010 0.251280i
\(358\) −2.52660e9 + 1.58757e9i −0.153817 + 0.0966498i
\(359\) 1.36320e10 4.77005e9i 0.820696 0.287174i 0.112914 0.993605i \(-0.463982\pi\)
0.707782 + 0.706431i \(0.249696\pi\)
\(360\) 9.65737e9 + 9.65737e9i 0.574975 + 0.574975i
\(361\) 3.30905e9 6.87132e9i 0.194839 0.404586i
\(362\) −3.97085e8 3.52422e9i −0.0231232 0.205224i
\(363\) 6.60235e9 7.43906e8i 0.380253 0.0428442i
\(364\) −2.29981e9 1.10753e9i −0.131005 0.0630885i
\(365\) −1.82714e10 + 1.82714e10i −1.02944 + 1.02944i
\(366\) 1.56071e9 + 4.46025e9i 0.0869755 + 0.248562i
\(367\) −1.33645e10 2.12694e10i −0.736694 1.17244i −0.979319 0.202322i \(-0.935151\pi\)
0.242625 0.970120i \(-0.421992\pi\)
\(368\) 3.95004e9 1.90224e9i 0.215382 0.103723i
\(369\) −9.52073e8 + 2.72087e9i −0.0513529 + 0.146758i
\(370\) −4.60641e9 + 1.05138e9i −0.245785 + 0.0560988i
\(371\) −7.53697e8 + 9.45106e8i −0.0397833 + 0.0498867i
\(372\) −1.48873e8 1.86681e8i −0.00777400 0.00974828i
\(373\) 4.34746e9 1.90475e10i 0.224595 0.984015i −0.729375 0.684114i \(-0.760189\pi\)
0.953970 0.299901i \(-0.0969538\pi\)
\(374\) 2.61349e9 4.15935e9i 0.133578 0.212588i
\(375\) −5.00465e8 + 4.44175e9i −0.0253075 + 0.224610i
\(376\) 1.79161e10i 0.896380i
\(377\) 8.45531e9 + 4.65612e7i 0.418566 + 0.00230494i
\(378\) 3.24837e9 0.159110
\(379\) −3.32288e10 3.74399e9i −1.61049 0.181459i −0.739639 0.673004i \(-0.765004\pi\)
−0.870852 + 0.491545i \(0.836432\pi\)
\(380\) 1.32611e10 + 8.33252e9i 0.635984 + 0.399615i
\(381\) −9.57409e9 2.18522e9i −0.454357 0.103704i
\(382\) −1.62042e9 + 1.29225e9i −0.0760983 + 0.0606864i
\(383\) 1.71574e10 + 1.36826e10i 0.797365 + 0.635877i 0.935017 0.354603i \(-0.115384\pi\)
−0.137652 + 0.990481i \(0.543956\pi\)
\(384\) −2.18746e9 9.58390e9i −0.100604 0.440775i
\(385\) 4.52711e9 + 1.58410e9i 0.206053 + 0.0721009i
\(386\) −6.93506e9 1.44008e10i −0.312393 0.648690i
\(387\) 8.95848e9 5.62899e9i 0.399384 0.250950i
\(388\) −4.12904e9 + 1.44481e9i −0.182189 + 0.0637507i
\(389\) 1.65948e10 + 1.65948e10i 0.724727 + 0.724727i 0.969564 0.244837i \(-0.0787346\pi\)
−0.244837 + 0.969564i \(0.578735\pi\)
\(390\) −1.08539e9 + 2.25384e9i −0.0469168 + 0.0974237i
\(391\) −2.02927e9 1.80103e10i −0.0868227 0.770573i
\(392\) 1.53630e10 1.73099e9i 0.650626 0.0733080i
\(393\) 5.84970e9 + 2.81707e9i 0.245224 + 0.118094i
\(394\) −7.74365e9 + 7.74365e9i −0.321337 + 0.321337i
\(395\) −2.41961e8 6.91484e8i −0.00993932 0.0284049i
\(396\) −3.28209e9 5.22342e9i −0.133466 0.212410i
\(397\) −1.34095e10 + 6.45769e9i −0.539823 + 0.259965i −0.683868 0.729606i \(-0.739703\pi\)
0.144045 + 0.989571i \(0.453989\pi\)
\(398\) −4.87423e9 + 1.39298e10i −0.194256 + 0.555151i
\(399\) 3.62123e9 8.26522e8i 0.142878 0.0326109i
\(400\) 4.21910e9 5.29058e9i 0.164808 0.206663i
\(401\) 8.69573e9 + 1.09041e10i 0.336301 + 0.421709i 0.921013 0.389533i \(-0.127364\pi\)
−0.584711 + 0.811242i \(0.698792\pi\)
\(402\) 7.84986e8 3.43925e9i 0.0300578 0.131692i
\(403\) −2.02221e8 + 3.21833e8i −0.00766667 + 0.0122014i
\(404\) −4.33635e9 + 3.84862e10i −0.162779 + 1.44471i
\(405\) 1.44890e10i 0.538542i
\(406\) 4.51236e9 2.80076e9i 0.166073 0.103080i
\(407\) 4.80771e9 0.175211
\(408\) −1.42540e10 1.60604e9i −0.514395 0.0579583i
\(409\) −1.00925e10 6.34152e9i −0.360665 0.226621i 0.339493 0.940609i \(-0.389744\pi\)
−0.700158 + 0.713988i \(0.746887\pi\)
\(410\) −3.07113e9 7.00966e8i −0.108683 0.0248063i
\(411\) 3.81496e9 3.04233e9i 0.133697 0.106620i
\(412\) −2.57222e10 2.05128e10i −0.892728 0.711927i
\(413\) 4.86217e9 + 2.13026e10i 0.167121 + 0.732203i
\(414\) 5.42959e9 + 1.89990e9i 0.184827 + 0.0646738i
\(415\) −4.63187e9 9.61817e9i −0.156158 0.324265i
\(416\) −1.06492e10 + 6.69132e9i −0.355584 + 0.223429i
\(417\) 1.47931e10 5.17633e9i 0.489232 0.171190i
\(418\) 2.84794e9 + 2.84794e9i 0.0932881 + 0.0932881i
\(419\) −1.38195e10 + 2.86966e10i −0.448371 + 0.931052i 0.547197 + 0.837004i \(0.315695\pi\)
−0.995568 + 0.0940480i \(0.970019\pi\)
\(420\) −6.96092e8 6.17799e9i −0.0223702 0.198541i
\(421\) −5.01264e10 + 5.64789e9i −1.59565 + 0.179787i −0.864573 0.502507i \(-0.832411\pi\)
−0.731078 + 0.682294i \(0.760983\pi\)
\(422\) −1.45775e10 7.02017e9i −0.459658 0.221359i
\(423\) −1.99521e10 + 1.99521e10i −0.623201 + 0.623201i
\(424\) 1.26417e9 + 3.61278e9i 0.0391148 + 0.111784i
\(425\) −1.48832e10 2.36865e10i −0.456184 0.726013i
\(426\) 4.27737e9 2.05987e9i 0.129879 0.0625464i
\(427\) −6.17443e9 + 1.76455e10i −0.185731 + 0.530790i
\(428\) −3.86871e10 + 8.83007e9i −1.15290 + 0.263141i
\(429\) 1.58705e9 1.99010e9i 0.0468557 0.0587552i
\(430\) 7.20872e9 + 9.03945e9i 0.210855 + 0.264404i
\(431\) 1.33550e10 5.85122e10i 0.387022 1.69565i −0.287813 0.957687i \(-0.592928\pi\)
0.674835 0.737968i \(-0.264215\pi\)
\(432\) −6.56845e9 + 1.04536e10i −0.188594 + 0.300146i
\(433\) −3.14758e9 + 2.79356e10i −0.0895418 + 0.794705i 0.866039 + 0.499976i \(0.166658\pi\)
−0.955581 + 0.294729i \(0.904771\pi\)
\(434\) 2.38738e8i 0.00672918i
\(435\) 1.08605e10 + 1.74975e10i 0.303314 + 0.488674i
\(436\) −4.66873e10 −1.29197
\(437\) 1.47667e10 + 1.66381e9i 0.404910 + 0.0456224i
\(438\) 7.29323e9 + 4.58264e9i 0.198163 + 0.124514i
\(439\) 3.88024e10 + 8.85640e9i 1.04472 + 0.238451i 0.710246 0.703953i \(-0.248584\pi\)
0.334476 + 0.942404i \(0.391441\pi\)
\(440\) 1.18733e10 9.46865e9i 0.316783 0.252626i
\(441\) −1.90366e10 1.51812e10i −0.503309 0.401376i
\(442\) 2.25549e9 + 9.88193e9i 0.0590951 + 0.258912i
\(443\) 1.41492e10 + 4.95103e9i 0.367382 + 0.128552i 0.507655 0.861560i \(-0.330512\pi\)
−0.140273 + 0.990113i \(0.544798\pi\)
\(444\) −2.70393e9 5.61477e9i −0.0695767 0.144478i
\(445\) 7.51171e10 4.71992e10i 1.91557 1.20364i
\(446\) 1.99090e10 6.96647e9i 0.503165 0.176065i
\(447\) 1.64630e10 + 1.64630e10i 0.412362 + 0.412362i
\(448\) −1.15400e8 + 2.39630e8i −0.00286479 + 0.00594879i
\(449\) −3.19449e9 2.83519e10i −0.0785988 0.697584i −0.969788 0.243951i \(-0.921556\pi\)
0.891189 0.453633i \(-0.149872\pi\)
\(450\) 8.82282e9 9.94093e8i 0.215158 0.0242425i
\(451\) 2.88791e9 + 1.39075e9i 0.0698036 + 0.0336157i
\(452\) −5.20518e9 + 5.20518e9i −0.124705 + 0.124705i
\(453\) 7.43102e8 + 2.12366e9i 0.0176464 + 0.0504304i
\(454\) −1.67135e10 2.65994e10i −0.393409 0.626106i
\(455\) −8.91659e9 + 4.29400e9i −0.208043 + 0.100188i
\(456\) 3.88437e9 1.11009e10i 0.0898382 0.256743i
\(457\) −2.96639e10 + 6.77060e9i −0.680086 + 0.155225i −0.548590 0.836091i \(-0.684835\pi\)
−0.131496 + 0.991317i \(0.541978\pi\)
\(458\) −8.34077e9 + 1.04590e10i −0.189559 + 0.237699i
\(459\) 3.18217e10 + 3.99031e10i 0.716922 + 0.898992i
\(460\) 5.53474e9 2.42493e10i 0.123614 0.541586i
\(461\) 2.70577e10 4.30621e10i 0.599084 0.953436i −0.400231 0.916414i \(-0.631070\pi\)
0.999314 0.0370217i \(-0.0117871\pi\)
\(462\) 1.79009e8 1.58875e9i 0.00392922 0.0348728i
\(463\) 7.84818e10i 1.70783i 0.520412 + 0.853915i \(0.325778\pi\)
−0.520412 + 0.853915i \(0.674222\pi\)
\(464\) −1.11152e8 + 2.01847e10i −0.00239798 + 0.435462i
\(465\) −9.25750e8 −0.0198008
\(466\) 1.28663e10 + 1.44968e9i 0.272841 + 0.0307418i
\(467\) −2.70472e10 1.69949e10i −0.568663 0.357315i 0.216807 0.976215i \(-0.430436\pi\)
−0.785470 + 0.618900i \(0.787579\pi\)
\(468\) 1.24100e10 + 2.83250e9i 0.258695 + 0.0590455i
\(469\) 1.09114e10 8.70154e9i 0.225522 0.179848i
\(470\) −2.41076e10 1.92252e10i −0.494041 0.393984i
\(471\) −1.48612e9 6.51114e9i −0.0301975 0.132304i
\(472\) 6.53031e10 + 2.28505e10i 1.31573 + 0.460393i
\(473\) −5.10447e9 1.05995e10i −0.101978 0.211759i
\(474\) −2.06775e8 + 1.29925e8i −0.00409623 + 0.00257383i
\(475\) 2.16491e10 7.57534e9i 0.425270 0.148809i
\(476\) −1.78126e10 1.78126e10i −0.346976 0.346976i
\(477\) 2.61552e9 5.43118e9i 0.0505225 0.104911i
\(478\) 6.25252e8 + 5.54927e9i 0.0119769 + 0.106298i
\(479\) −5.26286e10 + 5.92982e9i −0.999723 + 0.112642i −0.596629 0.802517i \(-0.703494\pi\)
−0.403094 + 0.915159i \(0.632065\pi\)
\(480\) −2.75987e10 1.32908e10i −0.519904 0.250373i
\(481\) −7.01471e9 + 7.01471e9i −0.131048 + 0.131048i
\(482\) 6.58823e9 + 1.88281e10i 0.122062 + 0.348833i
\(483\) −3.13840e9 4.99474e9i −0.0576661 0.0917750i
\(484\) 3.32867e10 1.60300e10i 0.606581 0.292114i
\(485\) −5.60169e9 + 1.60087e10i −0.101240 + 0.289327i
\(486\) −2.45949e10 + 5.61363e9i −0.440860 + 0.100623i
\(487\) 9.08766e9 1.13956e10i 0.161561 0.202591i −0.694461 0.719530i \(-0.744357\pi\)
0.856022 + 0.516939i \(0.172929\pi\)
\(488\) 3.69064e10 + 4.62791e10i 0.650762 + 0.816030i
\(489\) 6.73707e9 2.95170e10i 0.117824 0.516223i
\(490\) 1.41563e10 2.25297e10i 0.245565 0.390814i
\(491\) 1.20062e10 1.06558e11i 0.206576 1.83342i −0.280262 0.959924i \(-0.590421\pi\)
0.486838 0.873492i \(-0.338150\pi\)
\(492\) 4.15488e9i 0.0709084i
\(493\) 7.86087e10 + 2.79932e10i 1.33071 + 0.473876i
\(494\) −8.31060e9 −0.139548
\(495\) −2.37673e10 2.67794e9i −0.395876 0.0446046i
\(496\) −7.68287e8 4.82747e8i −0.0126939 0.00797614i
\(497\) 1.83111e10 + 4.17940e9i 0.300116 + 0.0684996i
\(498\) −2.78219e9 + 2.21872e9i −0.0452345 + 0.0360733i
\(499\) 4.20569e10 + 3.35393e10i 0.678321 + 0.540943i 0.900930 0.433965i \(-0.142886\pi\)
−0.222609 + 0.974908i \(0.571457\pi\)
\(500\) 5.53079e9 + 2.42320e10i 0.0884926 + 0.387711i
\(501\) 7.93506e9 + 2.77660e9i 0.125950 + 0.0440719i
\(502\) −9.62764e9 1.99920e10i −0.151602 0.314805i
\(503\) 8.36912e10 5.25867e10i 1.30740 0.821493i 0.315549 0.948909i \(-0.397811\pi\)
0.991849 + 0.127416i \(0.0406683\pi\)
\(504\) 1.70004e10 5.94869e9i 0.263473 0.0921933i
\(505\) 1.06178e11 + 1.06178e11i 1.63257 + 1.63257i
\(506\) 2.77528e9 5.76293e9i 0.0423355 0.0879107i
\(507\) −2.76843e9 2.45705e10i −0.0418988 0.371863i
\(508\) −5.42635e10 + 6.11403e9i −0.814804 + 0.0918063i
\(509\) −6.99368e10 3.36798e10i −1.04192 0.501762i −0.166963 0.985963i \(-0.553396\pi\)
−0.874957 + 0.484201i \(0.839110\pi\)
\(510\) −1.74566e10 + 1.74566e10i −0.258035 + 0.258035i
\(511\) 1.12547e10 + 3.21641e10i 0.165063 + 0.471724i
\(512\) −2.88332e10 4.58878e10i −0.419578 0.667755i
\(513\) −3.77022e10 + 1.81564e10i −0.544373 + 0.262156i
\(514\) 1.49471e9 4.27164e9i 0.0214143 0.0611987i
\(515\) −1.24358e11 + 2.83839e10i −1.76785 + 0.403500i
\(516\) −9.50803e9 + 1.19227e10i −0.134119 + 0.168181i
\(517\) 1.95623e10 + 2.45303e10i 0.273815 + 0.343353i
\(518\) −1.38652e9 + 6.07476e9i −0.0192579 + 0.0843743i
\(519\) −7.50717e9 + 1.19476e10i −0.103468 + 0.164669i
\(520\) −3.50853e9 + 3.11391e10i −0.0479857 + 0.425885i
\(521\) 1.20585e11i 1.63660i −0.574789 0.818301i \(-0.694916\pi\)
0.574789 0.818301i \(-0.305084\pi\)
\(522\) −1.88299e10 + 1.86237e10i −0.253610 + 0.250832i
\(523\) −6.99995e10 −0.935596 −0.467798 0.883835i \(-0.654952\pi\)
−0.467798 + 0.883835i \(0.654952\pi\)
\(524\) 3.58763e10 + 4.04228e9i 0.475863 + 0.0536169i
\(525\) −7.70923e9 4.84403e9i −0.101478 0.0637632i
\(526\) −4.89469e10 1.11718e10i −0.639415 0.145942i
\(527\) −2.93267e9 + 2.33872e9i −0.0380207 + 0.0303205i
\(528\) 4.75081e9 + 3.78864e9i 0.0611268 + 0.0487470i
\(529\) 1.21744e10 + 5.33393e10i 0.155462 + 0.681122i
\(530\) 6.21784e9 + 2.17571e9i 0.0788017 + 0.0275739i
\(531\) −4.72770e10 9.81717e10i −0.594664 1.23483i
\(532\) 1.74883e10 1.09886e10i 0.218324 0.137182i
\(533\) −6.24279e9 + 2.18445e9i −0.0773518 + 0.0270665i
\(534\) −2.09109e10 2.09109e10i −0.257163 0.257163i
\(535\) −6.67534e10 + 1.38615e11i −0.814814 + 1.69198i
\(536\) −4.94770e9 4.39120e10i −0.0599438 0.532016i
\(537\) −1.51633e10 + 1.70850e9i −0.182347 + 0.0205455i
\(538\) −1.08806e9 5.23981e8i −0.0129874 0.00625441i
\(539\) −1.91446e10 + 1.91446e10i −0.226825 + 0.226825i
\(540\) 2.31335e10 + 6.61117e10i 0.272061 + 0.777505i
\(541\) 9.14284e9 + 1.45507e10i 0.106731 + 0.169862i 0.895820 0.444418i \(-0.146589\pi\)
−0.789088 + 0.614280i \(0.789447\pi\)
\(542\) −6.42824e10 + 3.09568e10i −0.744894 + 0.358722i
\(543\) 5.98995e9 1.71183e10i 0.0689007 0.196907i
\(544\) −1.21006e11 + 2.76188e10i −1.38169 + 0.315362i
\(545\) −1.12859e11 + 1.41520e11i −1.27923 + 1.60410i
\(546\) 2.05688e9 + 2.57925e9i 0.0231440 + 0.0290217i
\(547\) 2.34556e10 1.02766e11i 0.261997 1.14789i −0.657084 0.753818i \(-0.728210\pi\)
0.919081 0.394068i \(-0.128933\pi\)
\(548\) 1.44357e10 2.29742e10i 0.160072 0.254752i
\(549\) 1.04379e10 9.26390e10i 0.114901 1.01978i
\(550\) 9.87261e9i 0.107890i
\(551\) −3.67181e10 + 5.77284e10i −0.398359 + 0.626301i
\(552\) −1.86779e10 −0.201174
\(553\) −9.60045e8 1.08171e8i −0.0102658 0.00115667i
\(554\) 5.81955e10 + 3.65667e10i 0.617804 + 0.388192i
\(555\) −2.35560e10 5.37651e9i −0.248273 0.0566667i
\(556\) 6.81360e10 5.43366e10i 0.712980 0.568583i
\(557\) 9.48578e10 + 7.56466e10i 0.985490 + 0.785902i 0.976820 0.214060i \(-0.0686689\pi\)
0.00866952 + 0.999962i \(0.497240\pi\)
\(558\) −2.64917e8 1.16068e9i −0.00273258 0.0119722i
\(559\) 2.29130e10 + 8.01761e9i 0.234658 + 0.0821103i
\(560\) −1.02507e10 2.12858e10i −0.104232 0.216441i
\(561\) 2.12699e10 1.33647e10i 0.214740 0.134930i
\(562\) 2.14325e10 7.49956e9i 0.214846 0.0751780i
\(563\) 6.61466e10 + 6.61466e10i 0.658376 + 0.658376i 0.954996 0.296620i \(-0.0958594\pi\)
−0.296620 + 0.954996i \(0.595859\pi\)
\(564\) 1.76460e10 3.66423e10i 0.174394 0.362132i
\(565\) 3.19549e9 + 2.83608e10i 0.0313577 + 0.278307i
\(566\) −2.04772e10 + 2.30722e9i −0.199528 + 0.0224814i
\(567\) −1.72154e10 8.29049e9i −0.166565 0.0802136i
\(568\) 4.20517e10 4.20517e10i 0.404009 0.404009i
\(569\) 8.00835e8 + 2.28866e9i 0.00764001 + 0.0218339i 0.947640 0.319340i \(-0.103461\pi\)
−0.940000 + 0.341174i \(0.889175\pi\)
\(570\) −1.07690e10 1.71387e10i −0.102018 0.162360i
\(571\) 6.79595e10 3.27276e10i 0.639301 0.307871i −0.0860081 0.996294i \(-0.527411\pi\)
0.725309 + 0.688423i \(0.241697\pi\)
\(572\) 4.67482e9 1.33599e10i 0.0436698 0.124801i
\(573\) −1.03330e10 + 2.35845e9i −0.0958537 + 0.0218780i
\(574\) −2.59013e9 + 3.24792e9i −0.0238602 + 0.0299198i
\(575\) −2.27111e10 2.84788e10i −0.207762 0.260526i
\(576\) 2.95134e8 1.29307e9i 0.00268120 0.0117471i
\(577\) 5.24921e10 8.35408e10i 0.473577 0.753694i −0.521451 0.853281i \(-0.674609\pi\)
0.995029 + 0.0995868i \(0.0317521\pi\)
\(578\) −5.58683e9 + 4.95845e10i −0.0500558 + 0.444258i
\(579\) 8.17365e10i 0.727281i
\(580\) 8.91370e10 + 7.18910e10i 0.787673 + 0.635276i
\(581\) −1.40783e10 −0.123551
\(582\) 5.61810e9 + 6.33008e8i 0.0489664 + 0.00551718i
\(583\) −5.67560e9 3.56621e9i −0.0491289 0.0308698i
\(584\) 1.05192e11 + 2.40093e10i 0.904337 + 0.206409i
\(585\) 3.85851e10 3.07706e10i 0.329455 0.262731i
\(586\) 5.38685e9 + 4.29587e9i 0.0456819 + 0.0364301i
\(587\) −3.69587e10 1.61927e11i −0.311290 1.36385i −0.852397 0.522895i \(-0.824852\pi\)
0.541107 0.840954i \(-0.318005\pi\)
\(588\) 3.31256e10 + 1.15911e10i 0.277111 + 0.0969654i
\(589\) −1.33440e9 2.77091e9i −0.0110873 0.0230230i
\(590\) 1.00822e11 6.33506e10i 0.832045 0.522808i
\(591\) −5.28590e10 + 1.84961e10i −0.433280 + 0.151611i
\(592\) −1.67457e10 1.67457e10i −0.136337 0.136337i
\(593\) −8.09684e10 + 1.68133e11i −0.654782 + 1.35967i 0.263854 + 0.964563i \(0.415006\pi\)
−0.918636 + 0.395106i \(0.870708\pi\)
\(594\) 2.01673e9 + 1.78990e10i 0.0161995 + 0.143775i
\(595\) −9.70532e10 + 1.09353e10i −0.774359 + 0.0872493i
\(596\) 1.16642e11 + 5.61719e10i 0.924423 + 0.445179i
\(597\) −5.33641e10 + 5.33641e10i −0.420100 + 0.420100i
\(598\) 4.35914e9 + 1.24577e10i 0.0340876 + 0.0974167i
\(599\) −1.07097e11 1.70443e11i −0.831896 1.32395i −0.943895 0.330246i \(-0.892868\pi\)
0.111999 0.993708i \(-0.464275\pi\)
\(600\) −2.59738e10 + 1.25083e10i −0.200415 + 0.0965147i
\(601\) 4.22562e10 1.20761e11i 0.323886 0.925613i −0.660691 0.750658i \(-0.729736\pi\)
0.984577 0.174955i \(-0.0559778\pi\)
\(602\) 1.48651e10 3.39286e9i 0.113183 0.0258333i
\(603\) −4.33924e10 + 5.44123e10i −0.328204 + 0.411555i
\(604\) 7.80043e9 + 9.78143e9i 0.0586099 + 0.0734945i
\(605\) 3.18741e10 1.39650e11i 0.237912 1.04236i
\(606\) 2.66306e10 4.23823e10i 0.197465 0.314264i
\(607\) −2.65600e10 + 2.35726e11i −0.195647 + 1.73641i 0.385582 + 0.922674i \(0.374001\pi\)
−0.581229 + 0.813740i \(0.697428\pi\)
\(608\) 1.01765e11i 0.744703i
\(609\) 2.70042e10 2.89214e9i 0.196319 0.0210257i
\(610\) 1.01875e11 0.735784
\(611\) −6.43334e10 7.24863e9i −0.461606 0.0520105i
\(612\) 1.06366e11 + 6.68340e10i 0.758221 + 0.476422i
\(613\) 1.25866e11 + 2.87282e10i 0.891391 + 0.203454i 0.643602 0.765360i \(-0.277439\pi\)
0.247788 + 0.968814i \(0.420296\pi\)
\(614\) −5.17306e10 + 4.12537e10i −0.363977 + 0.290262i
\(615\) −1.25944e10 1.00437e10i −0.0880396 0.0702092i
\(616\) −4.45653e9 1.95253e10i −0.0309509 0.135605i
\(617\) 9.48261e10 + 3.31811e10i 0.654315 + 0.228955i 0.636963 0.770895i \(-0.280190\pi\)
0.0173526 + 0.999849i \(0.494476\pi\)
\(618\) 1.84487e10 + 3.83092e10i 0.126477 + 0.262633i
\(619\) 1.77162e11 1.11318e11i 1.20673 0.758236i 0.230097 0.973168i \(-0.426096\pi\)
0.976629 + 0.214931i \(0.0689527\pi\)
\(620\) −4.85886e9 + 1.70019e9i −0.0328827 + 0.0115062i
\(621\) 4.69926e10 + 4.69926e10i 0.315982 + 0.315982i
\(622\) −1.25538e10 + 2.60682e10i −0.0838713 + 0.174161i
\(623\) −1.30992e10 1.16258e11i −0.0869545 0.771743i
\(624\) −1.24595e10 + 1.40385e9i −0.0821794 + 0.00925939i
\(625\) 1.70272e11 + 8.19987e10i 1.11589 + 0.537387i
\(626\) 7.80405e10 7.80405e10i 0.508186 0.508186i
\(627\) 6.80247e9 + 1.94403e10i 0.0440146 + 0.125786i
\(628\) −1.97581e10 3.14448e10i −0.127030 0.202167i
\(629\) −8.82054e10 + 4.24775e10i −0.563498 + 0.271366i
\(630\) 1.02381e10 2.92588e10i 0.0649915 0.185735i
\(631\) −2.89273e11 + 6.60246e10i −1.82469 + 0.416474i −0.990787 0.135432i \(-0.956758\pi\)
−0.833906 + 0.551906i \(0.813901\pi\)
\(632\) −1.90729e9 + 2.39166e9i −0.0119550 + 0.0149910i
\(633\) −5.15874e10 6.46885e10i −0.321313 0.402914i
\(634\) 1.38861e10 6.08392e10i 0.0859458 0.376553i
\(635\) −1.12640e11 + 1.79265e11i −0.692782 + 1.10256i
\(636\) −9.72823e8 + 8.63404e9i −0.00594573 + 0.0527698i
\(637\) 5.58660e10i 0.339305i
\(638\) 1.82341e10 + 2.31249e10i 0.110053 + 0.139572i
\(639\) −9.36613e10 −0.561767
\(640\) −2.10601e11 2.37290e10i −1.25528 0.141436i
\(641\) 2.58685e11 + 1.62542e11i 1.53228 + 0.962797i 0.992666 + 0.120886i \(0.0385736\pi\)
0.539616 + 0.841911i \(0.318569\pi\)
\(642\) 4.99993e10 + 1.14120e10i 0.294323 + 0.0671773i
\(643\) −1.74666e11 + 1.39291e11i −1.02180 + 0.814856i −0.982854 0.184386i \(-0.940970\pi\)
−0.0389426 + 0.999241i \(0.512399\pi\)
\(644\) −2.56452e10 2.04514e10i −0.149095 0.118899i
\(645\) 1.31565e10 + 5.76422e10i 0.0760151 + 0.333044i
\(646\) −7.74125e10 2.70878e10i −0.444510 0.155541i
\(647\) −6.75566e10 1.40283e11i −0.385523 0.800547i −0.999933 0.0115604i \(-0.996320\pi\)
0.614410 0.788987i \(-0.289394\pi\)
\(648\) −5.12277e10 + 3.21885e10i −0.290539 + 0.182558i
\(649\) −1.14362e11 + 4.00168e10i −0.644616 + 0.225561i
\(650\) 1.44047e10 + 1.44047e10i 0.0806956 + 0.0806956i
\(651\) −5.29705e8 + 1.09994e9i −0.00294924 + 0.00612416i
\(652\) −1.88496e10 1.67295e11i −0.104307 0.925748i
\(653\) −6.11737e10 + 6.89262e9i −0.336443 + 0.0379080i −0.278570 0.960416i \(-0.589860\pi\)
−0.0578731 + 0.998324i \(0.518432\pi\)
\(654\) 5.43634e10 + 2.61800e10i 0.297164 + 0.143106i
\(655\) 9.89779e10 9.89779e10i 0.537741 0.537741i
\(656\) −5.21476e9 1.49029e10i −0.0281591 0.0804741i
\(657\) −9.04083e10 1.43884e11i −0.485229 0.772238i
\(658\) −3.66368e10 + 1.76434e10i −0.195440 + 0.0941191i
\(659\) −5.41550e9 + 1.54766e10i −0.0287142 + 0.0820605i −0.957348 0.288937i \(-0.906698\pi\)
0.928634 + 0.370997i \(0.120984\pi\)
\(660\) 3.36094e10 7.67114e9i 0.177127 0.0404282i
\(661\) −1.11739e11 + 1.40117e11i −0.585330 + 0.733981i −0.983012 0.183543i \(-0.941243\pi\)
0.397682 + 0.917523i \(0.369815\pi\)
\(662\) −2.03494e10 2.55173e10i −0.105954 0.132863i
\(663\) −1.15340e10 + 5.05337e10i −0.0596933 + 0.261533i
\(664\) −2.37161e10 + 3.77440e10i −0.122003 + 0.194167i
\(665\) 8.96587e9 7.95743e10i 0.0458465 0.406899i
\(666\) 3.10723e10i 0.157935i
\(667\) 1.05795e11 + 2.47608e10i 0.534520 + 0.125101i
\(668\) 4.67470e10 0.234773
\(669\) 1.07184e11 + 1.20768e10i 0.535090 + 0.0602902i
\(670\) −6.43965e10 4.04630e10i −0.319568 0.200798i
\(671\) −1.01063e11 2.30669e10i −0.498541 0.113789i
\(672\) −3.15834e10 + 2.51869e10i −0.154875 + 0.123509i
\(673\) 4.01242e10 + 3.19980e10i 0.195590 + 0.155978i 0.716388 0.697702i \(-0.245794\pi\)
−0.520798 + 0.853680i \(0.674366\pi\)
\(674\) 1.42524e10 + 6.24437e10i 0.0690633 + 0.302586i
\(675\) 9.68190e10 + 3.38784e10i 0.466386 + 0.163196i
\(676\) −5.96553e10 1.23876e11i −0.285669 0.593197i
\(677\) −2.98026e10 + 1.87262e10i −0.141873 + 0.0891448i −0.601098 0.799175i \(-0.705270\pi\)
0.459225 + 0.888320i \(0.348127\pi\)
\(678\) 8.97982e9 3.14217e9i 0.0424961 0.0148700i
\(679\) 1.58157e10 + 1.58157e10i 0.0744064 + 0.0744064i
\(680\) −1.34177e11 + 2.78622e11i −0.627543 + 1.30311i
\(681\) −1.79866e10 1.59635e11i −0.0836297 0.742234i
\(682\) −1.31548e9 + 1.48219e8i −0.00608060 + 0.000685119i
\(683\) 2.03944e11 + 9.82145e10i 0.937193 + 0.451328i 0.839178 0.543856i \(-0.183036\pi\)
0.0980150 + 0.995185i \(0.468751\pi\)
\(684\) −7.28296e10 + 7.28296e10i −0.332723 + 0.332723i
\(685\) −3.47445e10 9.92942e10i −0.157806 0.450984i
\(686\) −4.16991e10 6.63637e10i −0.188291 0.299664i
\(687\) −6.16348e10 + 2.96818e10i −0.276694 + 0.133249i
\(688\) −1.91398e10 + 5.46984e10i −0.0854247 + 0.244130i
\(689\) 1.34843e10 3.07770e9i 0.0598345 0.0136568i
\(690\) −2.00426e10 + 2.51326e10i −0.0884214 + 0.110877i
\(691\) 2.16523e11 + 2.71511e11i 0.949710 + 1.19090i 0.981511 + 0.191405i \(0.0613042\pi\)
−0.0318012 + 0.999494i \(0.510124\pi\)
\(692\) −1.74595e10 + 7.64950e10i −0.0761390 + 0.333587i
\(693\) −1.67813e10 + 2.67072e10i −0.0727598 + 0.115797i
\(694\) −2.25128e10 + 1.99806e11i −0.0970490 + 0.861334i
\(695\) 3.37886e11i 1.44821i
\(696\) 3.77371e10 7.72705e10i 0.160817 0.329289i
\(697\) −6.52711e10 −0.276560
\(698\) −5.76643e10 6.49721e9i −0.242932 0.0273719i
\(699\) 5.60628e10 + 3.52266e10i 0.234837 + 0.147558i
\(700\) −4.93587e10 1.12658e10i −0.205576 0.0469213i
\(701\) −3.50994e10 + 2.79908e10i −0.145354 + 0.115916i −0.693467 0.720488i \(-0.743918\pi\)
0.548113 + 0.836404i \(0.315346\pi\)
\(702\) −2.90581e10 2.31730e10i −0.119651 0.0954189i
\(703\) −1.78616e10 7.82566e10i −0.0731304 0.320405i
\(704\) −1.39204e9 4.87095e8i −0.00566710 0.00198300i
\(705\) −6.84154e10 1.42066e11i −0.276947 0.575087i
\(706\) 1.42642e11 8.96282e10i 0.574156 0.360766i
\(707\) 1.86912e11 6.54032e10i 0.748098 0.261771i
\(708\) 1.11053e11 + 1.11053e11i 0.441975 + 0.441975i
\(709\) 1.20305e11 2.49815e11i 0.476100 0.988631i −0.515208 0.857065i \(-0.672285\pi\)
0.991307 0.131566i \(-0.0420005\pi\)
\(710\) −1.14598e10 1.01708e11i −0.0450965 0.400243i
\(711\) 4.78750e9 5.39422e8i 0.0187340 0.00211081i
\(712\) −3.33757e11 1.60729e11i −1.29870 0.625423i
\(713\) −3.45371e9 + 3.45371e9i −0.0133637 + 0.0133637i
\(714\) 1.07528e10 + 3.07297e10i 0.0413741 + 0.118240i
\(715\) −2.91964e10 4.64658e10i −0.111713 0.177791i
\(716\) −7.64481e10 + 3.68154e10i −0.290880 + 0.140081i
\(717\) −9.43182e9 + 2.69546e10i −0.0356877 + 0.101990i
\(718\) −1.01189e11 + 2.30958e10i −0.380747 + 0.0869031i
\(719\) −3.49915e10 + 4.38780e10i −0.130932 + 0.164184i −0.842976 0.537951i \(-0.819198\pi\)
0.712043 + 0.702135i \(0.247770\pi\)
\(720\) 7.34561e10 + 9.21110e10i 0.273337 + 0.342753i
\(721\) −3.74317e10 + 1.63999e11i −0.138515 + 0.606876i
\(722\) −2.91601e10 + 4.64080e10i −0.107310 + 0.170783i
\(723\) −1.14211e10 + 1.01365e11i −0.0417979 + 0.370966i
\(724\) 1.00847e11i 0.367037i
\(725\) 1.63703e11 3.64169e10i 0.592523 0.131811i
\(726\) −4.77484e10 −0.171875
\(727\) −2.47927e11 2.79347e10i −0.887536 0.100001i −0.343588 0.939120i \(-0.611642\pi\)
−0.543948 + 0.839119i \(0.683071\pi\)
\(728\) 3.49908e10 + 2.19862e10i 0.124574 + 0.0782752i
\(729\) −8.79712e9 2.00789e9i −0.0311480 0.00710933i
\(730\) 1.45184e11 1.15781e11i 0.511244 0.407704i
\(731\) 1.87300e11 + 1.49367e11i 0.655946 + 0.523099i
\(732\) 2.99001e10 + 1.31001e11i 0.104143 + 0.456279i
\(733\) 1.76826e11 + 6.18742e10i 0.612535 + 0.214335i 0.618677 0.785646i \(-0.287669\pi\)
−0.00614138 + 0.999981i \(0.501955\pi\)
\(734\) 7.83263e10 + 1.62646e11i 0.269851 + 0.560350i
\(735\) 1.15211e11 7.23919e10i 0.394770 0.248051i
\(736\) −1.52547e11 + 5.33785e10i −0.519867 + 0.181909i
\(737\) 5.47210e10 + 5.47210e10i 0.185474 + 0.185474i
\(738\) 8.98842e9 1.86646e10i 0.0303011 0.0629208i
\(739\) −1.13834e9 1.01031e10i −0.00381677 0.0338748i 0.991659 0.128886i \(-0.0411400\pi\)
−0.995476 + 0.0950108i \(0.969711\pi\)
\(740\) −1.33510e11 + 1.50429e10i −0.445231 + 0.0501655i
\(741\) −3.82897e10 1.84393e10i −0.127001 0.0611607i
\(742\) 6.14289e9 6.14289e9i 0.0202655 0.0202655i
\(743\) 2.84047e10 + 8.11759e10i 0.0932041 + 0.266362i 0.981042 0.193794i \(-0.0620793\pi\)
−0.887838 + 0.460156i \(0.847794\pi\)
\(744\) 2.05662e9 + 3.27309e9i 0.00671217 + 0.0106824i
\(745\) 4.52233e11 2.17784e11i 1.46804 0.706970i
\(746\) −4.63731e10 + 1.32527e11i −0.149731 + 0.427906i
\(747\) 6.84446e10 1.56220e10i 0.219815 0.0501713i
\(748\) 8.70912e10 1.09209e11i 0.278207 0.348860i
\(749\) 1.26502e11 + 1.58628e11i 0.401947 + 0.504026i
\(750\) 7.14801e9 3.13175e10i 0.0225912 0.0989787i
\(751\) 2.04081e11 3.24792e11i 0.641567 1.02105i −0.354722 0.934972i \(-0.615424\pi\)
0.996289 0.0860759i \(-0.0274328\pi\)
\(752\) 1.73041e10 1.53578e11i 0.0541099 0.480239i
\(753\) 1.13471e11i 0.352944i
\(754\) −6.03450e10 7.13598e9i −0.186705 0.0220784i
\(755\) 4.85061e10 0.149282
\(756\) 9.17883e10 + 1.03421e10i 0.280996 + 0.0316606i
\(757\) −9.90035e10 6.22080e10i −0.301486 0.189436i 0.372790 0.927916i \(-0.378401\pi\)
−0.674276 + 0.738480i \(0.735544\pi\)
\(758\) 2.34287e11 + 5.34744e10i 0.709693 + 0.161983i
\(759\) 2.55733e10 2.03940e10i 0.0770583 0.0614519i
\(760\) −1.98236e11 1.58088e11i −0.594193 0.473853i
\(761\) 3.62664e10 + 1.58894e11i 0.108135 + 0.473770i 0.999779 + 0.0210326i \(0.00669538\pi\)
−0.891644 + 0.452737i \(0.850447\pi\)
\(762\) 6.66137e10 +