Properties

Label 43.9.f.a.2.16
Level 43
Weight 9
Character 43.2
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(17.5172802326\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.16
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.16

$q$-expansion

\(f(q)\) \(=\) \(q+(1.53552 + 3.18853i) q^{2} +(57.5019 - 119.404i) q^{3} +(151.804 - 190.357i) q^{4} +(-620.261 - 141.571i) q^{5} +469.018 q^{6} -2752.04i q^{7} +(1723.33 + 393.338i) q^{8} +(-6860.10 - 8602.29i) q^{9} +O(q^{10})\) \(q+(1.53552 + 3.18853i) q^{2} +(57.5019 - 119.404i) q^{3} +(151.804 - 190.357i) q^{4} +(-620.261 - 141.571i) q^{5} +469.018 q^{6} -2752.04i q^{7} +(1723.33 + 393.338i) q^{8} +(-6860.10 - 8602.29i) q^{9} +(-501.019 - 2195.11i) q^{10} +(3916.43 + 4911.05i) q^{11} +(-14000.3 - 29071.9i) q^{12} +(-4456.23 + 19524.0i) q^{13} +(8774.96 - 4225.80i) q^{14} +(-52570.3 + 65921.0i) q^{15} +(-12477.6 - 54668.1i) q^{16} +(20747.0 + 90898.7i) q^{17} +(16894.9 - 35082.6i) q^{18} +(199437. + 159046. i) q^{19} +(-121107. + 96579.9i) q^{20} +(-328604. - 158247. i) q^{21} +(-9645.30 + 20028.7i) q^{22} +(-293415. - 367930. i) q^{23} +(146061. - 183154. i) q^{24} +(12741.0 + 6135.73i) q^{25} +(-69095.6 + 15770.6i) q^{26} +(-573898. + 130988. i) q^{27} +(-523870. - 417772. i) q^{28} +(-255149. - 529822. i) q^{29} +(-290914. - 66399.1i) q^{30} +(584457. - 281460. i) q^{31} +(508943. - 405869. i) q^{32} +(811601. - 185243. i) q^{33} +(-257976. + 205729. i) q^{34} +(-389608. + 1.70698e6i) q^{35} -2.67890e6 q^{36} -2.13515e6i q^{37} +(-200884. + 880128. i) q^{38} +(2.07500e6 + 1.65476e6i) q^{39} +(-1.01323e6 - 487945. i) q^{40} +(-2.47691e6 + 1.19282e6i) q^{41} -1.29076e6i q^{42} +(2.17351e6 - 2.63895e6i) q^{43} +1.52938e6 q^{44} +(3.03722e6 + 6.30686e6i) q^{45} +(722614. - 1.50052e6i) q^{46} +(-3.14123e6 + 3.93898e6i) q^{47} +(-7.24507e6 - 1.65364e6i) q^{48} -1.80892e6 q^{49} +50046.5i q^{50} +(1.20467e7 + 2.74957e6i) q^{51} +(3.04006e6 + 3.81211e6i) q^{52} +(778973. + 3.41290e6i) q^{53} +(-1.29889e6 - 1.62876e6i) q^{54} +(-1.73395e6 - 3.60059e6i) q^{55} +(1.08248e6 - 4.74266e6i) q^{56} +(3.04587e7 - 1.46681e7i) q^{57} +(1.29757e6 - 1.62710e6i) q^{58} +(-837851. - 3.67087e6i) q^{59} +(4.56811e6 + 2.00142e7i) q^{60} +(1.01395e7 - 2.10549e7i) q^{61} +(1.79489e6 + 1.43137e6i) q^{62} +(-2.36739e7 + 1.88793e7i) q^{63} +(-1.08577e7 - 5.22882e6i) q^{64} +(5.52806e6 - 1.14791e7i) q^{65} +(1.83688e6 + 2.30337e6i) q^{66} +(-5.77134e6 + 7.23703e6i) q^{67} +(2.04527e7 + 9.84949e6i) q^{68} +(-6.08042e7 + 1.38782e7i) q^{69} +(-6.04102e6 + 1.37882e6i) q^{70} +(2.91859e7 + 2.32750e7i) q^{71} +(-8.43858e6 - 1.75229e7i) q^{72} +(1.71835e7 + 3.92201e6i) q^{73} +(6.80798e6 - 3.27855e6i) q^{74} +(1.46526e6 - 1.16851e6i) q^{75} +(6.05509e7 - 1.38203e7i) q^{76} +(1.35154e7 - 1.07782e7i) q^{77} +(-2.09005e6 + 9.15712e6i) q^{78} -2.84951e7 q^{79} +3.56750e7i q^{80} +(-1.29611e6 + 5.67864e6i) q^{81} +(-7.60667e6 - 6.06611e6i) q^{82} +(-2.54736e7 - 1.22674e7i) q^{83} +(-8.00071e7 + 3.85294e7i) q^{84} -5.93181e7i q^{85} +(1.17518e7 + 2.87816e6i) q^{86} -7.79343e7 q^{87} +(4.81759e6 + 1.00038e7i) q^{88} +(1.95338e7 - 4.05624e7i) q^{89} +(-1.54459e7 + 1.93686e7i) q^{90} +(5.37309e7 + 1.22637e7i) q^{91} -1.14580e8 q^{92} -8.59709e7i q^{93} +(-1.73830e7 - 3.96755e6i) q^{94} +(-1.01187e8 - 1.26884e8i) q^{95} +(-1.91971e7 - 8.41080e7i) q^{96} +(6.02110e7 + 7.55023e7i) q^{97} +(-2.77763e6 - 5.76781e6i) q^{98} +(1.53792e7 - 6.73806e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} + O(q^{10}) \) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} - 24989q^{10} - 14864q^{11} - 1799q^{12} + 133078q^{13} - 243363q^{14} - 7457q^{15} - 558511q^{16} + 55162q^{17} - 45934q^{18} + 619745q^{19} + 1207493q^{20} + 307272q^{21} + 432761q^{22} + 473962q^{23} + 179363q^{24} + 2991984q^{25} + 112889q^{26} - 7q^{27} + 458745q^{28} + 1369823q^{29} + 4208148q^{30} + 608540q^{31} - 15074437q^{32} - 10988257q^{33} + 1542905q^{34} - 4078926q^{35} + 53343072q^{36} - 15207265q^{38} - 16862587q^{39} - 537581q^{40} - 852935q^{41} + 2982351q^{43} - 10366284q^{44} + 52423812q^{45} + 51003036q^{46} + 5828578q^{47} - 32078599q^{48} - 145853506q^{49} - 30015937q^{51} + 71975797q^{52} - 7800770q^{53} + 43151245q^{54} - 53485957q^{55} + 25379079q^{56} - 21662515q^{57} - 191329035q^{58} + 69716890q^{59} - 106388277q^{60} - 49131775q^{61} + 67656953q^{62} + 355075q^{63} + 227160853q^{64} - 87064999q^{65} + 146686057q^{66} - 31581292q^{67} + 200919430q^{68} - 30179079q^{69} + 86518670q^{70} - 60255454q^{71} - 438784346q^{72} - 50897868q^{73} + 5087868q^{74} + 206284834q^{75} + 461519674q^{76} + 256281375q^{77} - 182130842q^{78} - 236682026q^{79} - 488977844q^{81} - 226181851q^{82} - 429023996q^{83} - 513228846q^{84} + 336855461q^{86} + 255103986q^{87} + 977894029q^{88} - 258201748q^{89} + 1399550866q^{90} + 246776320q^{91} + 363749100q^{92} - 637129955q^{94} + 60088655q^{95} - 1169196874q^{96} + 218930393q^{97} - 330217825q^{98} + 459482633q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.53552 + 3.18853i 0.0959697 + 0.199283i 0.943427 0.331581i \(-0.107582\pi\)
−0.847457 + 0.530864i \(0.821868\pi\)
\(3\) 57.5019 119.404i 0.709900 1.47412i −0.163207 0.986592i \(-0.552184\pi\)
0.873106 0.487530i \(-0.162102\pi\)
\(4\) 151.804 190.357i 0.592986 0.743581i
\(5\) −620.261 141.571i −0.992418 0.226513i −0.304667 0.952459i \(-0.598545\pi\)
−0.687752 + 0.725946i \(0.741402\pi\)
\(6\) 469.018 0.361896
\(7\) 2752.04i 1.14621i −0.819483 0.573103i \(-0.805740\pi\)
0.819483 0.573103i \(-0.194260\pi\)
\(8\) 1723.33 + 393.338i 0.420734 + 0.0960298i
\(9\) −6860.10 8602.29i −1.04559 1.31113i
\(10\) −501.019 2195.11i −0.0501019 0.219511i
\(11\) 3916.43 + 4911.05i 0.267498 + 0.335432i 0.897380 0.441259i \(-0.145468\pi\)
−0.629882 + 0.776691i \(0.716897\pi\)
\(12\) −14000.3 29071.9i −0.675168 1.40200i
\(13\) −4456.23 + 19524.0i −0.156025 + 0.683591i 0.835037 + 0.550193i \(0.185446\pi\)
−0.991063 + 0.133398i \(0.957411\pi\)
\(14\) 8774.96 4225.80i 0.228420 0.110001i
\(15\) −52570.3 + 65921.0i −1.03842 + 1.30214i
\(16\) −12477.6 54668.1i −0.190394 0.834169i
\(17\) 20747.0 + 90898.7i 0.248405 + 1.08833i 0.933132 + 0.359534i \(0.117064\pi\)
−0.684727 + 0.728800i \(0.740079\pi\)
\(18\) 16894.9 35082.6i 0.160940 0.334196i
\(19\) 199437. + 159046.i 1.53035 + 1.22042i 0.893185 + 0.449690i \(0.148466\pi\)
0.637168 + 0.770725i \(0.280106\pi\)
\(20\) −121107. + 96579.9i −0.756921 + 0.603624i
\(21\) −328604. 158247.i −1.68965 0.813691i
\(22\) −9645.30 + 20028.7i −0.0411742 + 0.0854991i
\(23\) −293415. 367930.i −1.04850 1.31478i −0.947451 0.319902i \(-0.896350\pi\)
−0.101054 0.994881i \(-0.532222\pi\)
\(24\) 146061. 183154.i 0.440238 0.552041i
\(25\) 12741.0 + 6135.73i 0.0326169 + 0.0157075i
\(26\) −69095.6 + 15770.6i −0.151202 + 0.0345108i
\(27\) −573898. + 130988.i −1.07989 + 0.246478i
\(28\) −523870. 417772.i −0.852297 0.679684i
\(29\) −255149. 529822.i −0.360746 0.749097i 0.639053 0.769163i \(-0.279327\pi\)
−0.999799 + 0.0200663i \(0.993612\pi\)
\(30\) −290914. 66399.1i −0.359153 0.0819743i
\(31\) 584457. 281460.i 0.632857 0.304768i −0.0898155 0.995958i \(-0.528628\pi\)
0.722673 + 0.691190i \(0.242913\pi\)
\(32\) 508943. 405869.i 0.485366 0.387067i
\(33\) 811601. 185243.i 0.684363 0.156201i
\(34\) −257976. + 205729.i −0.193047 + 0.153950i
\(35\) −389608. + 1.70698e6i −0.259630 + 1.13752i
\(36\) −2.67890e6 −1.59495
\(37\) 2.13515e6i 1.13925i −0.821903 0.569627i \(-0.807088\pi\)
0.821903 0.569627i \(-0.192912\pi\)
\(38\) −200884. + 880128.i −0.0963407 + 0.422096i
\(39\) 2.07500e6 + 1.65476e6i 0.896934 + 0.715281i
\(40\) −1.01323e6 487945.i −0.395792 0.190603i
\(41\) −2.47691e6 + 1.19282e6i −0.876546 + 0.422122i −0.817362 0.576125i \(-0.804564\pi\)
−0.0591842 + 0.998247i \(0.518850\pi\)
\(42\) 1.29076e6i 0.414808i
\(43\) 2.17351e6 2.63895e6i 0.635752 0.771893i
\(44\) 1.52938e6 0.408043
\(45\) 3.03722e6 + 6.30686e6i 0.740673 + 1.53802i
\(46\) 722614. 1.50052e6i 0.161389 0.335129i
\(47\) −3.14123e6 + 3.93898e6i −0.643738 + 0.807221i −0.991465 0.130374i \(-0.958382\pi\)
0.347727 + 0.937596i \(0.386954\pi\)
\(48\) −7.24507e6 1.65364e6i −1.36483 0.311513i
\(49\) −1.80892e6 −0.313788
\(50\) 50046.5i 0.00800744i
\(51\) 1.20467e7 + 2.74957e6i 1.78068 + 0.406428i
\(52\) 3.04006e6 + 3.81211e6i 0.415785 + 0.521377i
\(53\) 778973. + 3.41290e6i 0.0987231 + 0.432534i 1.00000 0.000709843i \(-0.000225950\pi\)
−0.901277 + 0.433244i \(0.857369\pi\)
\(54\) −1.29889e6 1.62876e6i −0.152756 0.191550i
\(55\) −1.73395e6 3.60059e6i −0.189490 0.393480i
\(56\) 1.08248e6 4.74266e6i 0.110070 0.482248i
\(57\) 3.04587e7 1.46681e7i 2.88544 1.38955i
\(58\) 1.29757e6 1.62710e6i 0.114662 0.143781i
\(59\) −837851. 3.67087e6i −0.0691447 0.302943i 0.928517 0.371290i \(-0.121084\pi\)
−0.997662 + 0.0683475i \(0.978227\pi\)
\(60\) 4.56811e6 + 2.00142e7i 0.352478 + 1.54431i
\(61\) 1.01395e7 2.10549e7i 0.732313 1.52066i −0.117207 0.993107i \(-0.537394\pi\)
0.849520 0.527556i \(-0.176892\pi\)
\(62\) 1.79489e6 + 1.43137e6i 0.121470 + 0.0968693i
\(63\) −2.36739e7 + 1.88793e7i −1.50282 + 1.19846i
\(64\) −1.08577e7 5.22882e6i −0.647172 0.311662i
\(65\) 5.52806e6 1.14791e7i 0.309684 0.643066i
\(66\) 1.83688e6 + 2.30337e6i 0.0968065 + 0.121391i
\(67\) −5.77134e6 + 7.23703e6i −0.286403 + 0.359138i −0.904132 0.427253i \(-0.859481\pi\)
0.617729 + 0.786391i \(0.288053\pi\)
\(68\) 2.04527e7 + 9.84949e6i 0.956565 + 0.460658i
\(69\) −6.08042e7 + 1.38782e7i −2.68248 + 0.612259i
\(70\) −6.04102e6 + 1.37882e6i −0.251604 + 0.0574271i
\(71\) 2.91859e7 + 2.32750e7i 1.14852 + 0.915916i 0.997362 0.0725934i \(-0.0231275\pi\)
0.151161 + 0.988509i \(0.451699\pi\)
\(72\) −8.43858e6 1.75229e7i −0.314007 0.652042i
\(73\) 1.71835e7 + 3.92201e6i 0.605089 + 0.138108i 0.514079 0.857743i \(-0.328134\pi\)
0.0910091 + 0.995850i \(0.470991\pi\)
\(74\) 6.80798e6 3.27855e6i 0.227034 0.109334i
\(75\) 1.46526e6 1.16851e6i 0.0463094 0.0369305i
\(76\) 6.05509e7 1.38203e7i 1.81496 0.414252i
\(77\) 1.35154e7 1.07782e7i 0.384474 0.306607i
\(78\) −2.09005e6 + 9.15712e6i −0.0564650 + 0.247389i
\(79\) −2.84951e7 −0.731581 −0.365791 0.930697i \(-0.619201\pi\)
−0.365791 + 0.930697i \(0.619201\pi\)
\(80\) 3.56750e7i 0.870972i
\(81\) −1.29611e6 + 5.67864e6i −0.0301094 + 0.131918i
\(82\) −7.60667e6 6.06611e6i −0.168244 0.134170i
\(83\) −2.54736e7 1.22674e7i −0.536758 0.258489i 0.145808 0.989313i \(-0.453422\pi\)
−0.682566 + 0.730824i \(0.739136\pi\)
\(84\) −8.00071e7 + 3.85294e7i −1.60698 + 0.773882i
\(85\) 5.93181e7i 1.13635i
\(86\) 1.17518e7 + 2.87816e6i 0.214838 + 0.0526164i
\(87\) −7.79343e7 −1.36035
\(88\) 4.81759e6 + 1.00038e7i 0.0803340 + 0.166815i
\(89\) 1.95338e7 4.05624e7i 0.311334 0.646492i −0.685318 0.728243i \(-0.740337\pi\)
0.996653 + 0.0817512i \(0.0260513\pi\)
\(90\) −1.54459e7 + 1.93686e7i −0.235420 + 0.295207i
\(91\) 5.37309e7 + 1.22637e7i 0.783536 + 0.178837i
\(92\) −1.14580e8 −1.59940
\(93\) 8.59709e7i 1.14926i
\(94\) −1.73830e7 3.96755e6i −0.222645 0.0508173i
\(95\) −1.01187e8 1.26884e8i −1.24231 1.55781i
\(96\) −1.91971e7 8.41080e7i −0.226022 0.990267i
\(97\) 6.02110e7 + 7.55023e7i 0.680126 + 0.852851i 0.995366 0.0961613i \(-0.0306565\pi\)
−0.315240 + 0.949012i \(0.602085\pi\)
\(98\) −2.77763e6 5.76781e6i −0.0301141 0.0625326i
\(99\) 1.53792e7 6.73806e7i 0.160100 0.701446i
\(100\) 3.10211e6 1.49390e6i 0.0310211 0.0149390i
\(101\) 816527. 1.02389e6i 0.00784666 0.00983941i −0.777893 0.628397i \(-0.783711\pi\)
0.785739 + 0.618558i \(0.212283\pi\)
\(102\) 9.73073e6 + 4.26331e7i 0.0898969 + 0.393864i
\(103\) −1.88379e7 8.25341e7i −0.167372 0.733305i −0.987041 0.160468i \(-0.948700\pi\)
0.819669 0.572837i \(-0.194157\pi\)
\(104\) −1.53591e7 + 3.18935e7i −0.131290 + 0.272627i
\(105\) 1.81417e8 + 1.44675e8i 1.49252 + 1.19025i
\(106\) −9.68602e6 + 7.72434e6i −0.0767224 + 0.0611840i
\(107\) 1.81734e8 + 8.75184e7i 1.38644 + 0.667674i 0.970362 0.241655i \(-0.0776903\pi\)
0.416077 + 0.909329i \(0.363405\pi\)
\(108\) −6.21857e7 + 1.29130e8i −0.457084 + 0.949144i
\(109\) 8.77393e7 + 1.10022e8i 0.621567 + 0.779421i 0.988564 0.150801i \(-0.0481854\pi\)
−0.366997 + 0.930222i \(0.619614\pi\)
\(110\) 8.81808e6 1.10575e7i 0.0602287 0.0755243i
\(111\) −2.54945e8 1.22775e8i −1.67940 0.808757i
\(112\) −1.50449e8 + 3.43390e7i −0.956130 + 0.218230i
\(113\) 1.83482e7 4.18786e6i 0.112533 0.0256849i −0.165884 0.986145i \(-0.553048\pi\)
0.278417 + 0.960460i \(0.410190\pi\)
\(114\) 9.35395e7 + 7.45953e7i 0.553829 + 0.441664i
\(115\) 1.29906e8 + 2.69752e8i 0.742740 + 1.54231i
\(116\) −1.39588e8 3.18600e7i −0.770931 0.175960i
\(117\) 1.98522e8 9.56030e7i 1.05941 0.510186i
\(118\) 1.04181e7 8.30818e6i 0.0537356 0.0428527i
\(119\) 2.50157e8 5.70967e7i 1.24745 0.284723i
\(120\) −1.16525e8 + 9.29255e7i −0.561945 + 0.448136i
\(121\) 3.89194e7 1.70517e8i 0.181562 0.795474i
\(122\) 8.27034e7 0.373323
\(123\) 3.64342e8i 1.59180i
\(124\) 3.51454e7 1.53982e8i 0.148656 0.651304i
\(125\) 1.87267e8 + 1.49341e8i 0.767046 + 0.611699i
\(126\) −9.65487e7 4.64954e7i −0.383058 0.184471i
\(127\) −1.55751e8 + 7.50056e7i −0.598708 + 0.288323i −0.708588 0.705622i \(-0.750668\pi\)
0.109880 + 0.993945i \(0.464953\pi\)
\(128\) 2.09296e8i 0.779687i
\(129\) −1.90120e8 4.11270e8i −0.686544 1.48514i
\(130\) 4.50900e7 0.157873
\(131\) −4.49358e6 9.33102e6i −0.0152584 0.0316843i 0.893200 0.449659i \(-0.148454\pi\)
−0.908459 + 0.417975i \(0.862740\pi\)
\(132\) 8.79425e7 1.82614e8i 0.289670 0.601505i
\(133\) 4.37700e8 5.48859e8i 1.39885 1.75410i
\(134\) −3.19375e7 7.28952e6i −0.0990561 0.0226089i
\(135\) 3.74511e8 1.12753
\(136\) 1.64809e8i 0.481753i
\(137\) −4.76031e8 1.08651e8i −1.35130 0.308426i −0.515234 0.857050i \(-0.672295\pi\)
−0.836069 + 0.548624i \(0.815152\pi\)
\(138\) −1.37617e8 1.72566e8i −0.379450 0.475815i
\(139\) −1.74572e7 7.64851e7i −0.0467644 0.204888i 0.946148 0.323733i \(-0.104938\pi\)
−0.992913 + 0.118845i \(0.962081\pi\)
\(140\) 2.65792e8 + 3.33292e8i 0.691878 + 0.867587i
\(141\) 2.89703e8 + 6.01574e8i 0.732954 + 1.52199i
\(142\) −2.93976e7 + 1.28799e8i −0.0723033 + 0.316781i
\(143\) −1.13336e8 + 5.45798e7i −0.271034 + 0.130523i
\(144\) −3.84673e8 + 4.82365e8i −0.894627 + 1.12183i
\(145\) 8.32517e7 + 3.64750e8i 0.188331 + 0.825131i
\(146\) 1.38800e7 + 6.08123e7i 0.0305477 + 0.133838i
\(147\) −1.04017e8 + 2.15993e8i −0.222758 + 0.462561i
\(148\) −4.06440e8 3.24125e8i −0.847128 0.675562i
\(149\) 4.05356e8 3.23260e8i 0.822416 0.655855i −0.119078 0.992885i \(-0.537994\pi\)
0.941494 + 0.337030i \(0.109422\pi\)
\(150\) 5.97574e6 + 2.87777e6i 0.0118039 + 0.00568448i
\(151\) −2.62756e7 + 5.45617e7i −0.0505410 + 0.104950i −0.924710 0.380672i \(-0.875693\pi\)
0.874169 + 0.485622i \(0.161407\pi\)
\(152\) 2.81136e8 + 3.52534e8i 0.526675 + 0.660430i
\(153\) 6.39611e8 8.02046e8i 1.16721 1.46364i
\(154\) 5.51197e7 + 2.65442e7i 0.0979995 + 0.0471941i
\(155\) −4.02362e8 + 9.18366e7i −0.697093 + 0.159107i
\(156\) 6.29990e8 1.43791e8i 1.06374 0.242791i
\(157\) −6.52910e8 5.20679e8i −1.07462 0.856981i −0.0843910 0.996433i \(-0.526894\pi\)
−0.990229 + 0.139452i \(0.955466\pi\)
\(158\) −4.37547e7 9.08576e7i −0.0702096 0.145792i
\(159\) 4.52306e8 + 1.03236e8i 0.707692 + 0.161526i
\(160\) −3.73137e8 + 1.79693e8i −0.569362 + 0.274190i
\(161\) −1.01256e9 + 8.07489e8i −1.50701 + 1.20180i
\(162\) −2.00967e7 + 4.58694e6i −0.0291786 + 0.00665983i
\(163\) −9.89030e8 + 7.88725e8i −1.40107 + 1.11731i −0.423691 + 0.905807i \(0.639266\pi\)
−0.977376 + 0.211507i \(0.932163\pi\)
\(164\) −1.48945e8 + 6.52571e8i −0.205897 + 0.902096i
\(165\) −5.29630e8 −0.714556
\(166\) 1.00060e8i 0.131774i
\(167\) −1.50787e8 + 6.60643e8i −0.193865 + 0.849378i 0.780635 + 0.624988i \(0.214896\pi\)
−0.974499 + 0.224390i \(0.927961\pi\)
\(168\) −5.04047e8 4.01964e8i −0.632753 0.504604i
\(169\) 3.73618e8 + 1.79925e8i 0.458016 + 0.220569i
\(170\) 1.89138e8 9.10839e7i 0.226455 0.109055i
\(171\) 2.80669e9i 3.28253i
\(172\) −1.72393e8 8.14347e8i −0.196973 0.930455i
\(173\) 9.32329e8 1.04084 0.520421 0.853910i \(-0.325775\pi\)
0.520421 + 0.853910i \(0.325775\pi\)
\(174\) −1.19669e8 2.48496e8i −0.130553 0.271095i
\(175\) 1.68858e7 3.50637e7i 0.0180040 0.0373857i
\(176\) 2.19610e8 2.75382e8i 0.228877 0.287002i
\(177\) −4.86493e8 1.11039e8i −0.495660 0.113131i
\(178\) 1.59329e8 0.158714
\(179\) 8.99609e8i 0.876278i −0.898907 0.438139i \(-0.855638\pi\)
0.898907 0.438139i \(-0.144362\pi\)
\(180\) 1.66162e9 + 3.79253e8i 1.58285 + 0.361276i
\(181\) −3.45223e8 4.32896e8i −0.321651 0.403338i 0.594548 0.804060i \(-0.297331\pi\)
−0.916200 + 0.400722i \(0.868759\pi\)
\(182\) 4.34014e7 + 1.90154e8i 0.0395565 + 0.173308i
\(183\) −1.93099e9 2.42139e9i −1.72177 2.15904i
\(184\) −3.60928e8 7.49475e8i −0.314883 0.653862i
\(185\) −3.02274e8 + 1.32435e9i −0.258056 + 1.13062i
\(186\) 2.74121e8 1.32010e8i 0.229029 0.110294i
\(187\) −3.65154e8 + 4.57889e8i −0.298614 + 0.374450i
\(188\) 2.72959e8 + 1.19591e9i 0.218507 + 0.957342i
\(189\) 3.60486e8 + 1.57939e9i 0.282514 + 1.23778i
\(190\) 2.49201e8 5.17470e8i 0.191221 0.397074i
\(191\) 3.03128e8 + 2.41736e8i 0.227768 + 0.181639i 0.730724 0.682673i \(-0.239183\pi\)
−0.502956 + 0.864312i \(0.667754\pi\)
\(192\) −1.24868e9 + 9.95790e8i −0.918854 + 0.732762i
\(193\) −2.78913e8 1.34318e8i −0.201020 0.0968063i 0.330665 0.943748i \(-0.392727\pi\)
−0.531686 + 0.846942i \(0.678441\pi\)
\(194\) −1.48286e8 + 3.07920e8i −0.104687 + 0.217385i
\(195\) −1.05278e9 1.32014e9i −0.728113 0.913025i
\(196\) −2.74603e8 + 3.44341e8i −0.186072 + 0.233327i
\(197\) 1.57825e9 + 7.60043e8i 1.04788 + 0.504630i 0.876914 0.480648i \(-0.159598\pi\)
0.170961 + 0.985278i \(0.445313\pi\)
\(198\) 2.38460e8 5.44270e7i 0.155151 0.0354122i
\(199\) −4.82179e8 + 1.10054e8i −0.307465 + 0.0701769i −0.373470 0.927642i \(-0.621832\pi\)
0.0660044 + 0.997819i \(0.478975\pi\)
\(200\) 1.95434e7 + 1.55854e7i 0.0122146 + 0.00974086i
\(201\) 5.32266e8 + 1.10526e9i 0.326095 + 0.677144i
\(202\) 4.51850e6 + 1.03132e6i 0.00271387 + 0.000619423i
\(203\) −1.45809e9 + 7.02180e8i −0.858619 + 0.413489i
\(204\) 2.35213e9 1.87576e9i 1.35813 1.08307i
\(205\) 1.70520e9 3.89201e8i 0.965516 0.220373i
\(206\) 2.34237e8 1.86798e8i 0.130073 0.103730i
\(207\) −1.15219e9 + 5.04808e9i −0.627542 + 2.74944i
\(208\) 1.12295e9 0.599937
\(209\) 1.60234e9i 0.839787i
\(210\) −1.82733e8 + 8.00606e8i −0.0939594 + 0.411663i
\(211\) 1.67512e9 + 1.33587e9i 0.845118 + 0.673959i 0.947139 0.320823i \(-0.103960\pi\)
−0.102021 + 0.994782i \(0.532531\pi\)
\(212\) 7.67921e8 + 3.69811e8i 0.380166 + 0.183078i
\(213\) 4.45736e9 2.14655e9i 2.16551 1.04285i
\(214\) 7.13850e8i 0.340371i
\(215\) −1.72174e9 + 1.32913e9i −0.805776 + 0.622035i
\(216\) −1.04054e9 −0.478016
\(217\) −7.74588e8 1.60845e9i −0.349327 0.725385i
\(218\) −2.16082e8 + 4.48699e8i −0.0956738 + 0.198669i
\(219\) 1.45638e9 1.82625e9i 0.633139 0.793932i
\(220\) −9.48618e8 2.16516e8i −0.404949 0.0924270i
\(221\) −1.86716e9 −0.782733
\(222\) 1.00142e9i 0.412292i
\(223\) 3.02272e9 + 6.89917e8i 1.22230 + 0.278983i 0.784523 0.620100i \(-0.212908\pi\)
0.437780 + 0.899082i \(0.355765\pi\)
\(224\) −1.11697e9 1.40063e9i −0.443658 0.556330i
\(225\) −3.46230e7 1.51693e8i −0.0135094 0.0591884i
\(226\) 4.15271e7 + 5.20733e7i 0.0159183 + 0.0199610i
\(227\) 7.34970e8 + 1.52618e9i 0.276800 + 0.574781i 0.992304 0.123828i \(-0.0395170\pi\)
−0.715504 + 0.698609i \(0.753803\pi\)
\(228\) 1.83159e9 8.02470e9i 0.677779 2.96954i
\(229\) 7.36968e8 3.54905e8i 0.267983 0.129054i −0.295067 0.955476i \(-0.595342\pi\)
0.563050 + 0.826423i \(0.309628\pi\)
\(230\) −6.60640e8 + 8.28416e8i −0.236077 + 0.296031i
\(231\) −5.09795e8 2.23356e9i −0.179039 0.784421i
\(232\) −2.31305e8 1.01342e9i −0.0798425 0.349813i
\(233\) −1.32545e9 + 2.75233e9i −0.449718 + 0.933850i 0.545677 + 0.837996i \(0.316273\pi\)
−0.995395 + 0.0958541i \(0.969442\pi\)
\(234\) 6.09666e8 + 4.86193e8i 0.203343 + 0.162160i
\(235\) 2.50603e9 1.99849e9i 0.821703 0.655286i
\(236\) −8.25964e8 3.97763e8i −0.266264 0.128226i
\(237\) −1.63852e9 + 3.40243e9i −0.519349 + 1.07844i
\(238\) 5.66174e8 + 7.09960e8i 0.176458 + 0.221272i
\(239\) 1.18090e9 1.48080e9i 0.361927 0.453842i −0.567213 0.823571i \(-0.691978\pi\)
0.929139 + 0.369729i \(0.120550\pi\)
\(240\) 4.25973e9 + 2.05138e9i 1.28392 + 0.618302i
\(241\) 3.80569e7 8.68625e6i 0.0112815 0.00257492i −0.216876 0.976199i \(-0.569587\pi\)
0.228158 + 0.973624i \(0.426730\pi\)
\(242\) 6.03459e8 1.37736e8i 0.175949 0.0401592i
\(243\) −2.41605e9 1.92674e9i −0.692916 0.552582i
\(244\) −2.46872e9 5.12634e9i −0.696485 1.44627i
\(245\) 1.12201e9 + 2.56091e8i 0.311409 + 0.0710770i
\(246\) −1.16171e9 + 5.59452e8i −0.317219 + 0.152765i
\(247\) −3.99395e9 + 3.18507e9i −1.07304 + 0.855720i
\(248\) 1.11792e9 2.55158e8i 0.295531 0.0674531i
\(249\) −2.92956e9 + 2.33625e9i −0.762088 + 0.607745i
\(250\) −1.88625e8 + 8.26421e8i −0.0482881 + 0.211564i
\(251\) 5.73694e9 1.44539 0.722695 0.691167i \(-0.242903\pi\)
0.722695 + 0.691167i \(0.242903\pi\)
\(252\) 7.37244e9i 1.82814i
\(253\) 6.57786e8 2.88195e9i 0.160547 0.703403i
\(254\) −4.78315e8 3.81444e8i −0.114916 0.0916422i
\(255\) −7.08281e9 3.41090e9i −1.67512 0.806694i
\(256\) −2.11224e9 + 1.01720e9i −0.491794 + 0.236835i
\(257\) 6.43998e9i 1.47622i 0.674679 + 0.738111i \(0.264282\pi\)
−0.674679 + 0.738111i \(0.735718\pi\)
\(258\) 1.01942e9 1.23771e9i 0.230077 0.279345i
\(259\) −5.87601e9 −1.30582
\(260\) −1.34595e9 2.79489e9i −0.294533 0.611605i
\(261\) −2.80734e9 + 5.82949e9i −0.604968 + 1.25623i
\(262\) 2.28523e7 2.86559e7i 0.00484981 0.00608147i
\(263\) 7.15714e9 + 1.63357e9i 1.49595 + 0.341441i 0.890698 0.454595i \(-0.150216\pi\)
0.605250 + 0.796035i \(0.293073\pi\)
\(264\) 1.47152e9 0.302935
\(265\) 2.22717e9i 0.451617i
\(266\) 2.42215e9 + 5.52840e8i 0.483809 + 0.110426i
\(267\) −3.72007e9 4.66482e9i −0.731992 0.917889i
\(268\) 5.01502e8 + 2.19723e9i 0.0972151 + 0.425927i
\(269\) 2.50776e8 + 3.14463e8i 0.0478935 + 0.0600565i 0.805201 0.593002i \(-0.202057\pi\)
−0.757308 + 0.653058i \(0.773486\pi\)
\(270\) 5.75067e8 + 1.19414e9i 0.108209 + 0.224698i
\(271\) 1.47514e9 6.46301e9i 0.273499 1.19828i −0.632352 0.774681i \(-0.717910\pi\)
0.905851 0.423596i \(-0.139233\pi\)
\(272\) 4.71039e9 2.26840e9i 0.860560 0.414424i
\(273\) 4.55397e9 5.71049e9i 0.819859 1.02807i
\(274\) −3.84516e8 1.68467e9i −0.0682200 0.298891i
\(275\) 1.97663e7 + 8.66018e7i 0.00345616 + 0.0151424i
\(276\) −6.58855e9 + 1.36813e10i −1.13541 + 2.35771i
\(277\) −6.87955e9 5.48626e9i −1.16853 0.931874i −0.169970 0.985449i \(-0.554367\pi\)
−0.998564 + 0.0535748i \(0.982938\pi\)
\(278\) 2.17069e8 1.73107e8i 0.0363428 0.0289824i
\(279\) −6.43063e9 3.09683e9i −1.06130 0.511093i
\(280\) −1.34284e9 + 2.78844e9i −0.218471 + 0.453659i
\(281\) −6.05229e9 7.58933e9i −0.970721 1.21725i −0.976114 0.217260i \(-0.930288\pi\)
0.00539282 0.999985i \(-0.498283\pi\)
\(282\) −1.47329e9 + 1.84745e9i −0.232966 + 0.292131i
\(283\) 5.65829e9 + 2.72489e9i 0.882144 + 0.424818i 0.819407 0.573212i \(-0.194303\pi\)
0.0627370 + 0.998030i \(0.480017\pi\)
\(284\) 8.86109e9 2.02249e9i 1.36212 0.310894i
\(285\) −2.09689e10 + 4.78602e9i −3.17831 + 0.725429i
\(286\) −3.48059e8 2.77568e8i −0.0520222 0.0414863i
\(287\) 3.28268e9 + 6.81655e9i 0.483839 + 1.00470i
\(288\) −6.98281e9 1.59378e9i −1.01499 0.231664i
\(289\) −1.54720e9 + 7.45091e8i −0.221796 + 0.106812i
\(290\) −1.03518e9 + 8.25529e8i −0.146361 + 0.116719i
\(291\) 1.24775e10 2.84791e9i 1.74003 0.397150i
\(292\) 3.35511e9 2.67561e9i 0.461503 0.368037i
\(293\) 1.10645e9 4.84769e9i 0.150128 0.657755i −0.842718 0.538355i \(-0.819046\pi\)
0.992846 0.119400i \(-0.0380970\pi\)
\(294\) −8.48418e8 −0.113559
\(295\) 2.39551e9i 0.316308i
\(296\) 8.39834e8 3.67955e9i 0.109402 0.479323i
\(297\) −2.89093e9 2.30544e9i −0.371545 0.296297i
\(298\) 1.65316e9 + 7.96118e8i 0.209628 + 0.100951i
\(299\) 8.49101e9 4.08905e9i 1.06237 0.511609i
\(300\) 4.56306e8i 0.0563341i
\(301\) −7.26249e9 5.98159e9i −0.884748 0.728703i
\(302\) −2.14318e8 −0.0257651
\(303\) −7.53049e7 1.56372e8i −0.00893414 0.0185519i
\(304\) 6.20623e9 1.28874e10i 0.726664 1.50893i
\(305\) −9.26988e9 + 1.16241e10i −1.07121 + 1.34326i
\(306\) 3.53948e9 + 8.07864e8i 0.403696 + 0.0921409i
\(307\) 9.71831e9 1.09405 0.547025 0.837116i \(-0.315760\pi\)
0.547025 + 0.837116i \(0.315760\pi\)
\(308\) 4.20893e9i 0.467701i
\(309\) −1.09381e10 2.49655e9i −1.19980 0.273846i
\(310\) −9.10658e8 1.14193e9i −0.0986071 0.123649i
\(311\) 1.01870e9 + 4.46321e9i 0.108894 + 0.477096i 0.999740 + 0.0227911i \(0.00725525\pi\)
−0.890846 + 0.454305i \(0.849888\pi\)
\(312\) 2.92503e9 + 3.66787e9i 0.308682 + 0.387075i
\(313\) 6.69373e9 + 1.38997e10i 0.697415 + 1.44820i 0.884829 + 0.465915i \(0.154275\pi\)
−0.187415 + 0.982281i \(0.560011\pi\)
\(314\) 6.57646e8 2.88133e9i 0.0676509 0.296398i
\(315\) 1.73567e10 8.35856e9i 1.76289 0.848964i
\(316\) −4.32569e9 + 5.42424e9i −0.433818 + 0.543990i
\(317\) 2.12069e9 + 9.29137e9i 0.210011 + 0.920116i 0.964558 + 0.263871i \(0.0849993\pi\)
−0.754547 + 0.656246i \(0.772144\pi\)
\(318\) 3.65352e8 + 1.60071e9i 0.0357275 + 0.156533i
\(319\) 1.60271e9 3.32806e9i 0.154772 0.321387i
\(320\) 5.99439e9 + 4.78037e9i 0.571670 + 0.455892i
\(321\) 2.09001e10 1.66673e10i 1.96847 1.56980i
\(322\) −4.12950e9 1.98866e9i −0.384126 0.184986i
\(323\) −1.03193e10 + 2.14283e10i −0.948072 + 1.96869i
\(324\) 8.84212e8 + 1.10877e9i 0.0802373 + 0.100614i
\(325\) −1.76571e8 + 2.21413e8i −0.0158265 + 0.0198459i
\(326\) −4.03355e9 1.94245e9i −0.357122 0.171981i
\(327\) 1.81822e10 4.14996e9i 1.59021 0.362955i
\(328\) −4.73770e9 + 1.08135e9i −0.409329 + 0.0934267i
\(329\) 1.08402e10 + 8.64480e9i 0.925242 + 0.737856i
\(330\) −8.13254e8 1.68874e9i −0.0685758 0.142399i
\(331\) 7.15526e9 + 1.63314e9i 0.596092 + 0.136054i 0.509914 0.860226i \(-0.329677\pi\)
0.0861784 + 0.996280i \(0.472534\pi\)
\(332\) −6.20220e9 + 2.98682e9i −0.510497 + 0.245843i
\(333\) −1.83672e10 + 1.46473e10i −1.49371 + 1.19119i
\(334\) −2.33802e9 + 5.33637e8i −0.187872 + 0.0428805i
\(335\) 4.60429e9 3.67180e9i 0.365581 0.291541i
\(336\) −4.55089e9 + 1.99387e10i −0.357058 + 1.56437i
\(337\) −2.25516e10 −1.74847 −0.874235 0.485503i \(-0.838636\pi\)
−0.874235 + 0.485503i \(0.838636\pi\)
\(338\) 1.46757e9i 0.112443i
\(339\) 5.55010e8 2.43166e9i 0.0420244 0.184121i
\(340\) −1.12916e10 9.00476e9i −0.844968 0.673839i
\(341\) 3.67125e9 + 1.76798e9i 0.271517 + 0.130756i
\(342\) 8.94920e9 4.30971e9i 0.654154 0.315024i
\(343\) 1.08867e10i 0.786540i
\(344\) 4.78367e9 3.69284e9i 0.341607 0.263710i
\(345\) 3.96792e10 2.80083
\(346\) 1.43161e9 + 2.97276e9i 0.0998893 + 0.207422i
\(347\) −6.60761e9 + 1.37208e10i −0.455750 + 0.946374i 0.538832 + 0.842413i \(0.318866\pi\)
−0.994581 + 0.103961i \(0.966848\pi\)
\(348\) −1.18308e10 + 1.48353e10i −0.806670 + 1.01153i
\(349\) 1.66215e10 + 3.79376e9i 1.12039 + 0.255722i 0.742314 0.670052i \(-0.233728\pi\)
0.378077 + 0.925774i \(0.376586\pi\)
\(350\) 1.37730e8 0.00917817
\(351\) 1.17885e10i 0.776660i
\(352\) 3.98649e9 + 9.09890e8i 0.259669 + 0.0592677i
\(353\) −1.39034e10 1.74344e10i −0.895414 1.12281i −0.991842 0.127473i \(-0.959313\pi\)
0.0964285 0.995340i \(-0.469258\pi\)
\(354\) −3.92967e8 1.72170e9i −0.0250232 0.109634i
\(355\) −1.48078e10 1.85684e10i −0.932347 1.16913i
\(356\) −4.75600e9 9.87594e9i −0.296103 0.614863i
\(357\) 7.56693e9 3.31529e10i 0.465851 2.04102i
\(358\) 2.86843e9 1.38136e9i 0.174627 0.0840961i
\(359\) −5.55296e9 + 6.96320e9i −0.334308 + 0.419209i −0.920365 0.391061i \(-0.872108\pi\)
0.586057 + 0.810270i \(0.300680\pi\)
\(360\) 2.75340e9 + 1.20634e10i 0.163930 + 0.718225i
\(361\) 1.07004e10 + 4.68815e10i 0.630044 + 2.76040i
\(362\) 8.50207e8 1.76547e9i 0.0495097 0.102808i
\(363\) −1.81224e10 1.44522e10i −1.04373 0.832350i
\(364\) 1.04911e10 8.36636e9i 0.597606 0.476575i
\(365\) −1.01030e10 4.86534e9i −0.569218 0.274121i
\(366\) 4.75560e9 9.87511e9i 0.265021 0.550323i
\(367\) −8.05227e9 1.00972e10i −0.443868 0.556593i 0.508690 0.860950i \(-0.330130\pi\)
−0.952558 + 0.304357i \(0.901559\pi\)
\(368\) −1.64529e10 + 2.06313e10i −0.897123 + 1.12496i
\(369\) 2.72528e10 + 1.31243e10i 1.46996 + 0.707896i
\(370\) −4.68687e9 + 1.06975e9i −0.250079 + 0.0570788i
\(371\) 9.39245e9 2.14376e9i 0.495773 0.113157i
\(372\) −1.63651e10 1.30508e10i −0.854570 0.681497i
\(373\) 4.30266e9 + 8.93456e9i 0.222280 + 0.461570i 0.982050 0.188623i \(-0.0604023\pi\)
−0.759769 + 0.650193i \(0.774688\pi\)
\(374\) −2.02069e9 4.61210e8i −0.103279 0.0235728i
\(375\) 2.86000e10 1.37731e10i 1.44624 0.696474i
\(376\) −6.96272e9 + 5.55259e9i −0.348360 + 0.277807i
\(377\) 1.14813e10 2.62052e9i 0.568361 0.129725i
\(378\) −4.48240e9 + 3.57460e9i −0.219555 + 0.175089i
\(379\) 1.95284e9 8.55595e9i 0.0946476 0.414678i −0.905301 0.424770i \(-0.860355\pi\)
0.999949 + 0.0100913i \(0.00321222\pi\)
\(380\) −3.95139e10 −1.89503
\(381\) 2.29102e10i 1.08725i
\(382\) −3.05326e8 + 1.33772e9i −0.0143387 + 0.0628221i
\(383\) −1.10840e10 8.83921e9i −0.515112 0.410788i 0.331131 0.943585i \(-0.392570\pi\)
−0.846243 + 0.532796i \(0.821141\pi\)
\(384\) −2.49907e10 1.20349e10i −1.14935 0.553500i
\(385\) −9.90896e9 + 4.77191e9i −0.451009 + 0.217195i
\(386\) 1.09557e9i 0.0493504i
\(387\) −3.76115e10 5.93727e8i −1.67678 0.0264693i
\(388\) 2.35127e10 1.03747
\(389\) 8.04147e9 + 1.66983e10i 0.351186 + 0.729245i 0.999483 0.0321421i \(-0.0102329\pi\)
−0.648297 + 0.761387i \(0.724519\pi\)
\(390\) 2.59276e9 5.38392e9i 0.112074 0.232723i
\(391\) 2.73569e10 3.43045e10i 1.17047 1.46772i
\(392\) −3.11737e9 7.11519e8i −0.132021 0.0301330i
\(393\) −1.37255e9 −0.0575384
\(394\) 6.19934e9i 0.257253i
\(395\) 1.76744e10 + 4.03408e9i 0.726034 + 0.165713i
\(396\) −1.04917e10 1.31562e10i −0.426645 0.534996i
\(397\) 7.74531e9 + 3.39344e10i 0.311801 + 1.36609i 0.851555 + 0.524265i \(0.175660\pi\)
−0.539755 + 0.841822i \(0.681483\pi\)
\(398\) −1.09130e9 1.36845e9i −0.0434924 0.0545378i
\(399\) −4.03673e10 8.38235e10i −1.59271 3.30731i
\(400\) 1.76452e8 7.73085e8i 0.00689264 0.0301986i
\(401\) −1.28483e10 + 6.18742e9i −0.496900 + 0.239294i −0.665511 0.746388i \(-0.731786\pi\)
0.168611 + 0.985683i \(0.446072\pi\)
\(402\) −2.70686e9 + 3.39429e9i −0.103648 + 0.129971i
\(403\) 2.89075e9 + 1.26652e10i 0.109595 + 0.480167i
\(404\) −7.09524e7 3.10863e8i −0.00266343 0.0116693i
\(405\) 1.60786e9 3.33875e9i 0.0597623 0.124098i
\(406\) −4.47784e9 3.57096e9i −0.164803 0.131426i
\(407\) 1.04858e10 8.36216e9i 0.382142 0.304748i
\(408\) 1.96788e10 + 9.47681e9i 0.710163 + 0.341996i
\(409\) −1.42616e9 + 2.96146e9i −0.0509655 + 0.105831i −0.924896 0.380219i \(-0.875849\pi\)
0.873931 + 0.486050i \(0.161563\pi\)
\(410\) 3.85934e9 + 4.83946e9i 0.136577 + 0.171262i
\(411\) −4.03460e10 + 5.05923e10i −1.41395 + 1.77303i
\(412\) −1.85706e10 8.94313e9i −0.644521 0.310385i
\(413\) −1.01024e10 + 2.30580e9i −0.347235 + 0.0792540i
\(414\) −1.78652e10 + 4.07760e9i −0.608143 + 0.138805i
\(415\) 1.40636e10 + 1.12153e10i 0.474137 + 0.378112i
\(416\) 5.65623e9 + 1.17453e10i 0.188866 + 0.392184i
\(417\) −1.01364e10 2.31357e9i −0.335229 0.0765137i
\(418\) −5.10910e9 + 2.46041e9i −0.167355 + 0.0805941i
\(419\) −3.64026e10 + 2.90301e10i −1.18107 + 0.941874i −0.999141 0.0414373i \(-0.986806\pi\)
−0.181931 + 0.983311i \(0.558235\pi\)
\(420\) 5.50799e10 1.25716e10i 1.77009 0.404012i
\(421\) −3.98171e10 + 3.17531e10i −1.26748 + 1.01078i −0.268611 + 0.963249i \(0.586565\pi\)
−0.998870 + 0.0475334i \(0.984864\pi\)
\(422\) −1.68727e9 + 7.39243e9i −0.0532030 + 0.233097i
\(423\) 5.54335e10 1.73145
\(424\) 6.18794e9i 0.191462i
\(425\) −2.93393e8 + 1.28544e9i −0.00899277 + 0.0393999i
\(426\) 1.36887e10 + 1.09164e10i 0.415646 + 0.331467i
\(427\) −5.79438e10 2.79043e10i −1.74299 0.839381i
\(428\) 4.42478e10 2.13086e10i 1.31861 0.635009i
\(429\) 1.66712e10i 0.492196i
\(430\) −6.88174e9 3.44893e9i −0.201291 0.100881i
\(431\) 2.04822e10 0.593563 0.296781 0.954945i \(-0.404087\pi\)
0.296781 + 0.954945i \(0.404087\pi\)
\(432\) 1.43218e10 + 2.97395e10i 0.411209 + 0.853884i
\(433\) 1.00988e10 2.09703e10i 0.287287 0.596558i −0.706518 0.707695i \(-0.749735\pi\)
0.993805 + 0.111137i \(0.0354492\pi\)
\(434\) 3.93920e9 4.93960e9i 0.111032 0.139230i
\(435\) 4.83396e10 + 1.10332e10i 1.35004 + 0.308138i
\(436\) 3.42626e10 0.948144
\(437\) 1.20045e11i 3.29169i
\(438\) 8.05935e9 + 1.83949e9i 0.218979 + 0.0499806i
\(439\) 2.03435e10 + 2.55100e10i 0.547732 + 0.686834i 0.976237 0.216706i \(-0.0695311\pi\)
−0.428505 + 0.903539i \(0.640960\pi\)
\(440\) −1.57192e9 6.88702e9i −0.0419391 0.183747i
\(441\) 1.24094e10 + 1.55609e10i 0.328093 + 0.411415i
\(442\) −2.86706e9 5.95351e9i −0.0751186 0.155985i
\(443\) 1.19668e10 5.24301e10i 0.310716 1.36134i −0.542621 0.839978i \(-0.682568\pi\)
0.853337 0.521359i \(-0.174575\pi\)
\(444\) −6.20728e10 + 2.98927e10i −1.59724 + 0.769189i
\(445\) −1.78585e10 + 2.23939e10i −0.455413 + 0.571069i
\(446\) 2.44162e9 + 1.06974e10i 0.0617075 + 0.270358i
\(447\) −1.52898e10 6.69891e10i −0.382977 1.67793i
\(448\) −1.43899e10 + 2.98810e10i −0.357228 + 0.741792i
\(449\) 1.32806e10 + 1.05909e10i 0.326763 + 0.260585i 0.773106 0.634277i \(-0.218702\pi\)
−0.446342 + 0.894862i \(0.647274\pi\)
\(450\) 4.30515e8 3.43324e8i 0.0104988 0.00837248i
\(451\) −1.55586e10 7.49265e9i −0.376067 0.181104i
\(452\) 1.98815e9 4.12844e9i 0.0476317 0.0989083i
\(453\) 5.00399e9 + 6.27480e9i 0.118829 + 0.149007i
\(454\) −3.73772e9 + 4.68695e9i −0.0879798 + 0.110323i
\(455\) −3.15910e10 1.52134e10i −0.737086 0.354962i
\(456\) 5.82598e10 1.32974e10i 1.34744 0.307544i
\(457\) 2.26501e10 5.16975e9i 0.519285 0.118523i 0.0451581 0.998980i \(-0.485621\pi\)
0.474127 + 0.880456i \(0.342764\pi\)
\(458\) 2.26325e9 + 1.80488e9i 0.0514365 + 0.0410192i
\(459\) −2.38134e10 4.94490e10i −0.536501 1.11405i
\(460\) 7.10693e10 + 1.62211e10i 1.58727 + 0.362284i
\(461\) −5.99153e10 + 2.88537e10i −1.32658 + 0.638848i −0.956929 0.290323i \(-0.906237\pi\)
−0.369652 + 0.929170i \(0.620523\pi\)
\(462\) 6.33897e9 5.05516e9i 0.139140 0.110960i
\(463\) 3.38848e10 7.73399e9i 0.737363 0.168298i 0.162685 0.986678i \(-0.447985\pi\)
0.574678 + 0.818380i \(0.305127\pi\)
\(464\) −2.57807e10 + 2.05594e10i −0.556190 + 0.443546i
\(465\) −1.21709e10 + 5.33244e10i −0.260323 + 1.14055i
\(466\) −1.08111e10 −0.229260
\(467\) 3.14466e10i 0.661159i 0.943778 + 0.330580i \(0.107244\pi\)
−0.943778 + 0.330580i \(0.892756\pi\)
\(468\) 1.19378e10 5.23029e10i 0.248852 1.09029i
\(469\) 1.99166e10 + 1.58829e10i 0.411646 + 0.328276i
\(470\) 1.02203e10 + 4.92184e9i 0.209446 + 0.100864i
\(471\) −9.97146e10 + 4.80200e10i −2.02617 + 0.975750i
\(472\) 6.65566e9i 0.134098i
\(473\) 2.14724e10 + 3.38959e8i 0.428980 + 0.00677178i
\(474\) −1.33647e10 −0.264757
\(475\) 1.56516e9 + 3.25009e9i 0.0307457 + 0.0638441i
\(476\) 2.71062e10 5.62866e10i 0.528008 1.09642i
\(477\) 2.40150e10 3.01138e10i 0.463883 0.581691i
\(478\) 6.53486e9 + 1.49154e9i 0.125177 + 0.0285709i
\(479\) 3.78110e10 0.718251 0.359125 0.933289i \(-0.383075\pi\)
0.359125 + 0.933289i \(0.383075\pi\)
\(480\) 5.48867e10i 1.03396i
\(481\) 4.16867e10 + 9.51472e9i 0.778784 + 0.177752i
\(482\) 8.61334e7 + 1.08008e8i 0.00159582 + 0.00200109i
\(483\) 3.81932e10 + 1.67336e11i 0.701775 + 3.07468i
\(484\) −2.65509e10 3.32938e10i −0.483836 0.606711i
\(485\) −2.66577e10 5.53552e10i −0.481787 1.00044i
\(486\) 2.43357e9 1.06622e10i 0.0436214 0.191118i
\(487\) 1.46105e10 7.03607e9i 0.259747 0.125088i −0.299479 0.954103i \(-0.596813\pi\)
0.559226 + 0.829015i \(0.311098\pi\)
\(488\) 2.57553e10 3.22962e10i 0.454138 0.569471i
\(489\) 3.73058e10 + 1.63447e11i 0.652440 + 2.85852i
\(490\) 9.06305e8 + 3.97078e9i 0.0157214 + 0.0688798i
\(491\) 2.32587e9 4.82973e9i 0.0400184 0.0830991i −0.880001 0.474972i \(-0.842458\pi\)
0.920020 + 0.391873i \(0.128173\pi\)
\(492\) 6.93549e10 + 5.53087e10i 1.18363 + 0.943915i
\(493\) 4.28665e10 3.41849e10i 0.725656 0.578691i
\(494\) −1.62885e10 7.84412e9i −0.273510 0.131715i
\(495\) −1.90782e10 + 3.96164e10i −0.317773 + 0.659863i
\(496\) −2.26795e10 2.84392e10i −0.374720 0.469884i
\(497\) 6.40536e10 8.03207e10i 1.04983 1.31644i
\(498\) −1.19476e10 5.75365e9i −0.194251 0.0935462i
\(499\) −6.10814e10 + 1.39414e10i −0.985160 + 0.224856i −0.684610 0.728910i \(-0.740027\pi\)
−0.300550 + 0.953766i \(0.597170\pi\)
\(500\) 5.68560e10 1.29770e10i 0.909695 0.207632i
\(501\) 7.02127e10 + 5.59928e10i 1.11446 + 0.888753i
\(502\) 8.80915e9 + 1.82924e10i 0.138714 + 0.288042i
\(503\) −1.06367e11 2.42776e10i −1.66163 0.379257i −0.714385 0.699753i \(-0.753293\pi\)
−0.947250 + 0.320496i \(0.896151\pi\)
\(504\) −4.82237e10 + 2.32233e10i −0.747375 + 0.359917i
\(505\) −6.51413e8 + 5.19485e8i −0.0100159 + 0.00798743i
\(506\) 1.01992e10 2.32791e9i 0.155584 0.0355110i
\(507\) 4.29674e10 3.42654e10i 0.650291 0.518590i
\(508\) −9.36583e9 + 4.10344e10i −0.140634 + 0.616159i
\(509\) −4.54745e10 −0.677480 −0.338740 0.940880i \(-0.610001\pi\)
−0.338740 + 0.940880i \(0.610001\pi\)
\(510\) 2.78213e10i 0.411241i
\(511\) 1.07935e10 4.72895e10i 0.158300 0.693556i
\(512\) −4.83770e10 3.85794e10i −0.703979 0.561404i
\(513\) −1.35290e11 6.51521e10i −1.95342 0.940717i
\(514\) −2.05341e10 + 9.88868e9i −0.294186 + 0.141673i
\(515\) 5.38596e10i 0.765657i
\(516\) −1.07149e11 2.62421e10i −1.51144 0.370168i
\(517\) −3.16470e10 −0.442966
\(518\) −9.02270e9 1.87358e10i −0.125319 0.260228i
\(519\) 5.36106e10 1.11324e11i 0.738893 1.53433i
\(520\) 1.40418e10 1.76079e10i 0.192048 0.240821i
\(521\) 1.09609e11 + 2.50175e10i 1.48763 + 0.339542i 0.887667 0.460485i \(-0.152325\pi\)
0.599963 + 0.800027i \(0.295182\pi\)
\(522\) −2.28982e10 −0.308404
\(523\) 8.12379e10i 1.08581i −0.839796 0.542903i \(-0.817325\pi\)
0.839796 0.542903i \(-0.182675\pi\)
\(524\) −2.45837e9 5.61107e8i −0.0326078 0.00744253i
\(525\) −3.21577e9 4.03245e9i −0.0423300 0.0530802i
\(526\) 5.78121e9 + 2.53291e10i 0.0755224 + 0.330885i
\(527\) 3.77101e10 + 4.72869e10i 0.488894 + 0.613054i
\(528\) −2.02537e10 4.20573e10i −0.260597 0.541135i
\(529\) −3.18547e10 + 1.39565e11i −0.406772 + 1.78219i
\(530\) 7.10141e9 3.41986e9i 0.0899996 0.0433415i
\(531\) −2.58301e10 + 3.23899e10i −0.324899 + 0.407410i
\(532\) −3.80341e10 1.66638e11i −0.474818 2.08031i
\(533\) −1.22509e10 5.36748e10i −0.151796 0.665061i
\(534\) 9.16171e9 1.90245e10i 0.112671 0.233963i
\(535\) −1.00332e11 8.00125e10i −1.22469 0.976658i
\(536\) −1.27925e10 + 1.02017e10i −0.154987 + 0.123598i
\(537\) −1.07417e11 5.17292e10i −1.29174 0.622069i
\(538\) −6.17604e8 + 1.28247e9i −0.00737193 + 0.0153080i
\(539\) −7.08453e9 8.88372e9i −0.0839375 0.105254i
\(540\) 5.68524e10 7.12907e10i 0.668612 0.838413i
\(541\) 1.19229e11 + 5.74177e10i 1.39185 + 0.670280i 0.971491 0.237077i \(-0.0761894\pi\)
0.420360 + 0.907357i \(0.361904\pi\)
\(542\) 2.28726e10 5.22052e9i 0.265044 0.0604946i
\(543\) −7.15404e10 + 1.63286e10i −0.822910 + 0.187824i
\(544\) 4.74520e10 + 3.78417e10i 0.541825 + 0.432091i
\(545\) −3.88455e10 8.06635e10i −0.440306 0.914304i
\(546\) 2.52008e10 + 5.75191e9i 0.283559 + 0.0647205i
\(547\) −3.78610e10 + 1.82329e10i −0.422905 + 0.203660i −0.633218 0.773974i \(-0.718266\pi\)
0.210312 + 0.977634i \(0.432552\pi\)
\(548\) −9.29460e10 + 7.41220e10i −1.03064 + 0.821911i
\(549\) −2.50678e11 + 5.72156e10i −2.75948 + 0.629833i
\(550\) −2.45781e8 + 1.96004e8i −0.00268595 + 0.00214197i
\(551\) 3.33798e10 1.46246e11i 0.362141 1.58664i
\(552\) −1.10244e11 −1.18741
\(553\) 7.84198e10i 0.838543i
\(554\) 6.92945e9 3.03599e10i 0.0735631 0.322301i
\(555\) 1.40751e11 + 1.12245e11i 1.48347 + 1.18303i
\(556\) −1.72095e10 8.28767e9i −0.180082 0.0867228i
\(557\) 5.93927e10 2.86020e10i 0.617039 0.297150i −0.0991330 0.995074i \(-0.531607\pi\)
0.716172 + 0.697924i \(0.245893\pi\)
\(558\) 2.52595e10i 0.260548i
\(559\) 4.18373e10 + 5.41955e10i 0.428466 + 0.555029i
\(560\) 9.81790e10 0.998313
\(561\) 3.36766e10 + 6.99303e10i 0.339999 + 0.706015i
\(562\) 1.49054e10 3.09514e10i 0.149417 0.310267i
\(563\) −9.90770e10 + 1.24239e11i −0.986141 + 1.23658i −0.0145554 + 0.999894i \(0.504633\pi\)
−0.971586 + 0.236688i \(0.923938\pi\)
\(564\) 1.58492e11 + 3.61748e10i 1.56636 + 0.357511i
\(565\) −1.19736e10 −0.117498
\(566\) 2.22257e10i 0.216566i
\(567\) 1.56278e10 + 3.56695e9i 0.151205 + 0.0345116i
\(568\) 4.11419e10 + 5.15903e10i 0.395267 + 0.495649i
\(569\) −3.43578e10 1.50531e11i −0.327775 1.43608i −0.823360 0.567519i \(-0.807903\pi\)
0.495585 0.868559i \(-0.334954\pi\)
\(570\) −4.74585e10 5.95110e10i −0.449588 0.563765i
\(571\) 6.71579e10 + 1.39455e11i 0.631761 + 1.31187i 0.933535 + 0.358486i \(0.116707\pi\)
−0.301774 + 0.953380i \(0.597579\pi\)
\(572\) −6.81530e9 + 2.98598e10i −0.0636650 + 0.278935i
\(573\) 4.62947e10 2.22943e10i 0.429450 0.206812i
\(574\) −1.66942e10 + 2.09338e10i −0.153786 + 0.192842i
\(575\) −1.48087e9 6.48810e9i −0.0135470 0.0593535i
\(576\) 2.95054e10 + 1.29272e11i 0.268048 + 1.17439i
\(577\) 1.70577e10 3.54206e10i 0.153892 0.319560i −0.809742 0.586786i \(-0.800393\pi\)
0.963634 + 0.267226i \(0.0861071\pi\)
\(578\) −4.75149e9 3.78919e9i −0.0425715 0.0339496i
\(579\) −3.20761e10 + 2.55798e10i −0.285408 + 0.227606i
\(580\) 8.20705e10 + 3.95231e10i 0.725229 + 0.349252i
\(581\) −3.37605e10 + 7.01044e10i −0.296281 + 0.615235i
\(582\) 2.82401e10 + 3.54119e10i 0.246135 + 0.308644i
\(583\) −1.37102e10 + 1.71920e10i −0.118677 + 0.148817i
\(584\) 2.80700e10 + 1.35178e10i 0.241319 + 0.116213i
\(585\) −1.36670e11 + 3.11940e10i −1.16694 + 0.266347i
\(586\) 1.71560e10 3.91574e9i 0.145487 0.0332065i
\(587\) −1.69479e11 1.35155e11i −1.42746 1.13836i −0.968234 0.250044i \(-0.919555\pi\)
−0.459227 0.888319i \(-0.651874\pi\)
\(588\) 2.53255e10 + 5.25889e10i 0.211860 + 0.439931i
\(589\) 1.61327e11 + 3.68219e10i 1.34044 + 0.305946i
\(590\) −7.63816e9 + 3.67834e9i −0.0630348 + 0.0303560i
\(591\) 1.81504e11 1.44745e11i 1.48777 1.18646i
\(592\) −1.16724e11 + 2.66416e10i −0.950332 + 0.216907i
\(593\) −2.17984e10 + 1.73836e10i −0.176281 + 0.140579i −0.707656 0.706558i \(-0.750247\pi\)
0.531375 + 0.847137i \(0.321676\pi\)
\(594\) 2.91189e9 1.27578e10i 0.0233900 0.102478i
\(595\) −1.63246e11 −1.30249
\(596\) 1.26235e11i 1.00045i
\(597\) −1.45853e10 + 6.39024e10i −0.114820 + 0.503060i
\(598\) 2.60762e10 + 2.07950e10i 0.203910 + 0.162613i
\(599\) 1.36336e10 + 6.56557e9i 0.105901 + 0.0509994i 0.486084 0.873912i \(-0.338425\pi\)
−0.380183 + 0.924911i \(0.624139\pi\)
\(600\) 2.98474e9 1.43737e9i 0.0230304 0.0110908i
\(601\) 4.48395e10i 0.343687i −0.985124 0.171843i \(-0.945028\pi\)
0.985124 0.171843i \(-0.0549723\pi\)
\(602\) 7.92081e9 3.23415e10i 0.0603092 0.246249i
\(603\) 1.01847e11 0.770334
\(604\) 6.39745e9 + 1.32844e10i 0.0480684 + 0.0998150i
\(605\) −4.82803e10 + 1.00255e11i −0.360370 + 0.748316i
\(606\) 3.82966e8 4.80224e8i 0.00283968 0.00356085i
\(607\) 2.49347e11 + 5.69118e10i 1.83675 + 0.419225i 0.993060 0.117611i \(-0.0375235\pi\)
0.843687 + 0.536836i \(0.180381\pi\)
\(608\) 1.66054e11 1.21516
\(609\) 2.14478e11i 1.55924i
\(610\) −5.12977e10 1.17084e10i −0.370492 0.0845624i
\(611\) −6.29068e10 7.88826e10i −0.451370 0.566000i
\(612\) −5.55792e10 2.43508e11i −0.396193 1.73583i
\(613\) −1.44592e11 1.81312e11i −1.02400 1.28406i −0.958161 0.286230i \(-0.907598\pi\)
−0.0658426 0.997830i \(-0.520974\pi\)
\(614\) 1.49226e10 + 3.09871e10i 0.104996 + 0.218026i
\(615\) 5.15801e10 2.25987e11i 0.360563 1.57973i
\(616\) 2.75309e10 1.32582e10i 0.191205 0.0920792i
\(617\) 2.39765e9 3.00656e9i 0.0165442 0.0207457i −0.773491 0.633808i \(-0.781491\pi\)
0.790035 + 0.613062i \(0.210062\pi\)
\(618\) −8.83530e9 3.87100e10i −0.0605714 0.265381i
\(619\) −4.06438e10 1.78072e11i −0.276842 1.21292i −0.901761 0.432234i \(-0.857725\pi\)
0.624920 0.780689i \(-0.285132\pi\)
\(620\) −4.35987e10 + 9.05336e10i −0.295058 + 0.612693i
\(621\) 2.16585e11 + 1.72721e11i 1.45634 + 1.16139i
\(622\) −1.26669e10 + 1.01015e10i −0.0846267 + 0.0674875i
\(623\) −1.11629e11 5.37578e10i −0.741013 0.356853i
\(624\) 6.45715e10 1.34084e11i 0.425895 0.884380i
\(625\) −9.84565e10 1.23460e11i −0.645244 0.809111i
\(626\) −3.40412e10 + 4.26863e10i −0.221670 + 0.277966i
\(627\) 1.91325e11 + 9.21374e10i 1.23795 + 0.596164i
\(628\) −1.98229e11 + 4.52446e10i −1.27447 + 0.290889i
\(629\) 1.94082e11 4.42980e10i 1.23989 0.282997i
\(630\) 5.33030e10 + 4.25078e10i 0.338368 + 0.269840i
\(631\) 7.53682e10 + 1.56504e11i 0.475413 + 0.987204i 0.991432 + 0.130627i \(0.0416991\pi\)
−0.516019 + 0.856577i \(0.672587\pi\)
\(632\) −4.91064e10 1.12082e10i −0.307801 0.0702536i
\(633\) 2.55831e11 1.23201e11i 1.59345 0.767363i
\(634\) −2.63695e10 + 2.10289e10i −0.163209 + 0.130155i
\(635\) 1.07225e11 2.44733e10i 0.659477 0.150521i
\(636\) 8.83138e10 7.04279e10i 0.539759 0.430443i
\(637\) 8.06099e9 3.53175e10i 0.0489588 0.214503i
\(638\) 1.30726e10 0.0789005
\(639\) 4.10734e11i 2.46353i
\(640\) −2.96301e10 + 1.29818e11i −0.176609 + 0.773776i
\(641\) 1.35146e11 + 1.07775e11i 0.800517 + 0.638391i 0.935846 0.352410i \(-0.114638\pi\)
−0.135329 + 0.990801i \(0.543209\pi\)
\(642\) 8.52365e10 + 4.10477e10i 0.501748 + 0.241629i
\(643\) 7.00136e10 3.37168e10i 0.409580 0.197243i −0.217737 0.976007i \(-0.569868\pi\)
0.627317 + 0.778764i \(0.284153\pi\)
\(644\) 3.15328e11i 1.83324i
\(645\) 5.97002e10 + 2.82010e11i 0.344934 + 1.62939i
\(646\) −8.41703e10 −0.483313
\(647\) −7.02798e10 1.45938e11i −0.401064 0.832818i −0.999499 0.0316467i \(-0.989925\pi\)
0.598435 0.801171i \(-0.295789\pi\)
\(648\) −4.46725e9 + 9.27634e9i −0.0253361 + 0.0526110i
\(649\) 1.47464e10 1.84914e10i 0.0831205 0.104230i
\(650\) −9.77110e8 2.23019e8i −0.00547381 0.00124936i
\(651\) −2.36595e11 −1.31729
\(652\) 3.08001e11i 1.70436i
\(653\) −4.57758e10 1.04480e10i −0.251758 0.0574622i 0.0947792 0.995498i \(-0.469785\pi\)
−0.346537 + 0.938036i \(0.612643\pi\)
\(654\) 4.11513e10 + 5.16021e10i 0.224943 + 0.282070i
\(655\) 1.46620e9 + 6.42383e9i 0.00796576 + 0.0349003i
\(656\) 9.61150e10 + 1.20524e11i 0.519010 + 0.650818i
\(657\) −8.41419e10 1.74722e11i −0.451597 0.937750i
\(658\) −1.09189e10 + 4.78387e10i −0.0582470 + 0.255197i
\(659\) −1.77459e11 + 8.54598e10i −0.940928 + 0.453127i −0.840497 0.541817i \(-0.817737\pi\)
−0.100432 + 0.994944i \(0.532022\pi\)
\(660\) −8.04001e10 + 1.00819e11i −0.423722 + 0.531331i
\(661\) 1.29445e9 + 5.67135e9i 0.00678077 + 0.0297085i 0.978205 0.207641i \(-0.0665785\pi\)
−0.971424 + 0.237349i \(0.923721\pi\)
\(662\) 5.77969e9 + 2.53225e10i 0.0300935 + 0.131848i
\(663\) −1.07365e11 + 2.22947e11i −0.555662 + 1.15384i
\(664\) −3.90741e10 3.11605e10i −0.201009 0.160300i
\(665\) −3.49191e11 + 2.78470e11i −1.78557 + 1.42394i
\(666\) −7.49065e10 3.60731e10i −0.380735 0.183352i
\(667\) −1.20073e11 + 2.49334e11i −0.606656 + 1.25973i
\(668\) 1.02868e11 + 1.28992e11i 0.516622 + 0.647824i
\(669\) 2.56191e11 3.21253e11i 1.27897 1.60377i
\(670\) 1.87776e10 + 9.04281e9i 0.0931838 + 0.0448750i
\(671\) 1.43112e11 3.26644e10i 0.705971 0.161133i
\(672\) −2.31469e11 + 5.28312e10i −1.13505 + 0.259068i
\(673\) −8.99227e10 7.17110e10i −0.438338 0.349563i 0.379322 0.925265i \(-0.376157\pi\)
−0.817660 + 0.575702i \(0.804729\pi\)
\(674\) −3.46284e10 7.19065e10i −0.167800 0.348441i
\(675\) −8.11573e9 1.85236e9i −0.0390942 0.00892300i
\(676\) 9.09668e10 4.38073e10i 0.435608 0.209778i
\(677\) −2.34956e11 + 1.87371e11i −1.11849 + 0.891966i −0.994950 0.100374i \(-0.967996\pi\)
−0.123540 + 0.992340i \(0.539425\pi\)
\(678\) 8.60564e9 1.96418e9i 0.0407253 0.00929529i
\(679\) 2.07785e11 1.65703e11i 0.977542 0.779564i
\(680\) 2.33321e10 1.02224e11i 0.109123 0.478101i
\(681\) 2.24494e11 1.04380
\(682\) 1.44207e10i 0.0666573i
\(683\) 1.62385e10 7.11457e10i 0.0746215 0.326938i −0.923815 0.382840i \(-0.874946\pi\)
0.998436 + 0.0559015i \(0.0178033\pi\)
\(684\) −5.34272e11 4.26067e11i −2.44083 1.94650i
\(685\) 2.79882e11 + 1.34784e11i 1.27120 + 0.612175i
\(686\) 3.47127e10 1.67167e10i 0.156744 0.0754841i
\(687\) 1.08405e11i 0.486654i
\(688\) −1.71387e11 8.58939e10i −0.764933 0.383362i
\(689\) −7.01049e10 −0.311080
\(690\) 6.09281e10 + 1.26518e11i 0.268795 + 0.558158i
\(691\) −2.27963e10 + 4.73370e10i −0.0999891 + 0.207629i −0.944962 0.327179i \(-0.893902\pi\)
0.844973 + 0.534809i \(0.179616\pi\)
\(692\) 1.41532e11 1.77475e11i 0.617205 0.773950i
\(693\) −1.85434e11 4.23241e10i −0.804002 0.183508i
\(694\) −5.38954e10 −0.232335
\(695\) 4.99122e10i 0.213928i
\(696\) −1.34306e11 3.06545e10i −0.572347 0.130634i
\(697\) −1.59814e11 2.00400e11i −0.677148 0.849117i
\(698\) 1.34261e10 + 5.88237e10i 0.0565625 + 0.247817i
\(699\) 2.52423e11 + 3.16528e11i 1.05735 + 1.32588i
\(700\) −4.11127e9 8.53714e9i −0.0171232 0.0355566i
\(701\) −4.30437e10 + 1.88587e11i −0.178253 + 0.780978i 0.804183 + 0.594381i \(0.202603\pi\)
−0.982437 + 0.186597i \(0.940254\pi\)
\(702\) 3.75881e10 1.81015e10i 0.154775 0.0745358i
\(703\) 3.39586e11 4.25827e11i 1.39036 1.74346i
\(704\) −1.68447e10 7.38013e10i −0.0685759 0.300451i
\(705\) −9.45263e10 4.14147e11i −0.382645 1.67648i
\(706\) 3.42411e10 7.11023e10i 0.137825 0.286197i
\(707\) −2.81779e9 2.24712e9i −0.0112780 0.00899389i
\(708\) −9.49889e10 + 7.57511e10i −0.378042 + 0.301478i
\(709\) −2.12045e10 1.02115e10i −0.0839156 0.0404116i 0.391455 0.920197i \(-0.371972\pi\)
−0.475371 + 0.879786i \(0.657686\pi\)
\(710\) 3.64683e10 7.57273e10i 0.143510 0.298002i
\(711\) 1.95480e11 + 2.45124e11i 0.764932 + 0.959195i
\(712\) 4.96178e10 6.22188e10i 0.193071 0.242104i
\(713\) −2.75046e11 1.32455e11i −1.06426 0.512519i
\(714\) 1.17328e11 2.67794e10i 0.451449 0.103040i
\(715\) 7.80249e10 1.78087e10i 0.298545 0.0681409i
\(716\) −1.71247e11 1.36565e11i −0.651583 0.519620i
\(717\) −1.08909e11 2.26153e11i −0.412087 0.855707i
\(718\) −3.07290e10 7.01370e9i −0.115625 0.0263906i
\(719\) −1.63035e10 + 7.85133e9i −0.0610048 + 0.0293784i −0.464137 0.885763i \(-0.653636\pi\)
0.403133 + 0.915142i \(0.367921\pi\)
\(720\) 3.06887e11 2.44734e11i 1.14195 0.910677i
\(721\) −2.27137e11 + 5.18426e10i −0.840519 + 0.191843i
\(722\) −1.33052e11 + 1.06106e11i −0.489637 + 0.390472i
\(723\) 1.15117e9 5.04362e9i 0.00421296 0.0184582i
\(724\) −1.34811e11 −0.490650
\(725\) 8.31597e9i 0.0300996i
\(726\) 1.82539e10 7.99754e10i 0.0657065 0.287879i
\(727\) −2.64073e11 2.10591e11i −0.945337 0.753881i 0.0239759 0.999713i \(-0.492367\pi\)
−0.969313 + 0.245832i \(0.920939\pi\)
\(728\) 8.77721e10 + 4.22688e10i 0.312486 + 0.150486i
\(729\) −4.03418e11 + 1.94276e11i −1.42839 + 0.687874i
\(730\) 3.96845e10i 0.139743i
\(731\) 2.84971e11 + 1.42819e11i 0.998001 + 0.500169i
\(732\) −7.54061e11 −2.62641
\(733\) −2.88582e9 5.99247e9i −0.00999663 0.0207582i 0.895911 0.444234i \(-0.146524\pi\)
−0.905907 + 0.423476i \(0.860810\pi\)
\(734\) 1.98309e10 4.11794e10i 0.0683218 0.141872i
\(735\) 9.50956e10 1.19246e11i 0.325845 0.408597i
\(736\) −2.98663e11 6.81679e10i −1.01782 0.232310i
\(737\) −5.81445e10 −0.197078
\(738\) 1.07049e11i 0.360875i
\(739\) 1.04052e11 + 2.37492e10i 0.348877 + 0.0796289i 0.393369 0.919381i \(-0.371310\pi\)
−0.0444915 + 0.999010i \(0.514167\pi\)
\(740\) 2.06212e11 + 2.58582e11i 0.687682 + 0.862326i
\(741\) 1.50650e11 + 6.60041e11i 0.499685 + 2.18926i
\(742\) 2.12577e10 + 2.66563e10i 0.0701295 + 0.0879396i
\(743\) 1.89212e11 + 3.92903e11i 0.620859 + 1.28923i 0.939888 + 0.341482i \(0.110929\pi\)
−0.319029 + 0.947745i \(0.603357\pi\)
\(744\) 3.38156e10 1.48156e11i 0.110363 0.483534i
\(745\) −2.97191e11 + 1.43120e11i −0.964740 + 0.464594i
\(746\) −2.18813e10 + 2.74383e10i −0.0706510 + 0.0885935i
\(747\) 6.92234e10 + 3.03287e11i 0.222316 + 0.974029i
\(748\) 3.17302e10 + 1.39019e11i 0.101360 + 0.444087i
\(749\) 2.40854e11 5.00139e11i 0.765292 1.58915i
\(750\) 8.78316e10 + 7.00434e10i 0.277591 + 0.221372i
\(751\) 2.78426e11 2.22038e11i 0.875288 0.698019i −0.0790109 0.996874i \(-0.525176\pi\)
0.954298 + 0.298855i \(0.0966048\pi\)
\(752\) 2.54532e11 + 1.22576e11i 0.795923 + 0.383296i
\(753\) 3.29885e11 6.85012e11i 1.02608 2.13068i
\(754\) 2.59853e10 + 3.25845e10i 0.0803974 + 0.100815i
\(755\) 2.40221e10 3.01227e10i 0.0739303 0.0927056i
\(756\) 3.55371e11 + 1.71138e11i