Properties

Label 43.4.g.a.13.6
Level 43
Weight 4
Character 43.13
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 13.6
Character \(\chi\) \(=\) 43.13
Dual form 43.4.g.a.10.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.113555 - 0.497516i) q^{2} +(4.85972 - 4.50917i) q^{3} +(6.97312 + 3.35808i) q^{4} +(-8.91725 - 1.34406i) q^{5} +(-1.69154 - 2.92983i) q^{6} +(2.21697 - 3.83991i) q^{7} +(5.00791 - 6.27973i) q^{8} +(1.26664 - 16.9021i) q^{9} +O(q^{10})\) \(q+(0.113555 - 0.497516i) q^{2} +(4.85972 - 4.50917i) q^{3} +(6.97312 + 3.35808i) q^{4} +(-8.91725 - 1.34406i) q^{5} +(-1.69154 - 2.92983i) q^{6} +(2.21697 - 3.83991i) q^{7} +(5.00791 - 6.27973i) q^{8} +(1.26664 - 16.9021i) q^{9} +(-1.68129 + 4.28385i) q^{10} +(5.96279 - 2.87153i) q^{11} +(49.0296 - 15.1236i) q^{12} +(4.94815 + 12.6077i) q^{13} +(-1.65867 - 1.53902i) q^{14} +(-49.3960 + 33.6776i) q^{15} +(36.0488 + 45.2038i) q^{16} +(-125.638 + 18.9368i) q^{17} +(-8.26523 - 2.54949i) q^{18} +(6.32317 + 84.3768i) q^{19} +(-57.6677 - 39.3171i) q^{20} +(-6.54090 - 28.6576i) q^{21} +(-0.751528 - 3.29266i) q^{22} +(10.5279 + 7.17783i) q^{23} +(-3.97924 - 53.0993i) q^{24} +(-41.7357 - 12.8737i) q^{25} +(6.83441 - 1.03012i) q^{26} +(41.5426 + 52.0928i) q^{27} +(28.3539 - 19.3314i) q^{28} +(60.8880 + 56.4958i) q^{29} +(11.1460 + 28.3995i) q^{30} +(62.7379 - 19.3521i) q^{31} +(84.4763 - 40.6816i) q^{32} +(16.0293 - 40.8420i) q^{33} +(-4.84538 + 64.6571i) q^{34} +(-24.9304 + 31.2617i) q^{35} +(65.5910 - 113.607i) q^{36} +(-130.912 - 226.746i) q^{37} +(42.6968 + 6.43551i) q^{38} +(80.8968 + 38.9579i) q^{39} +(-53.0972 + 49.2670i) q^{40} +(54.5075 - 238.813i) q^{41} -15.0003 q^{42} +(211.051 - 186.988i) q^{43} +51.2221 q^{44} +(-34.0124 + 149.018i) q^{45} +(4.76658 - 4.42274i) q^{46} +(-513.729 - 247.399i) q^{47} +(379.019 + 57.1279i) q^{48} +(161.670 + 280.021i) q^{49} +(-11.1442 + 19.3023i) q^{50} +(-525.175 + 658.548i) q^{51} +(-7.83354 + 104.531i) q^{52} +(174.520 - 444.671i) q^{53} +(30.6344 - 14.7527i) q^{54} +(-57.0312 + 17.5918i) q^{55} +(-13.0112 - 33.1519i) q^{56} +(411.198 + 381.536i) q^{57} +(35.0217 - 23.8774i) q^{58} +(55.0337 + 69.0101i) q^{59} +(-457.536 + 68.9625i) q^{60} +(-272.242 - 83.9754i) q^{61} +(-2.50378 - 33.4106i) q^{62} +(-62.0944 - 42.3352i) q^{63} +(92.2783 + 404.298i) q^{64} +(-27.1785 - 119.077i) q^{65} +(-18.4994 - 12.6126i) q^{66} +(-46.2809 - 617.575i) q^{67} +(-939.678 - 289.852i) q^{68} +(83.5289 - 12.5900i) q^{69} +(12.7222 + 15.9532i) q^{70} +(-13.0136 + 8.87250i) q^{71} +(-99.7974 - 92.5984i) q^{72} +(421.768 + 1074.65i) q^{73} +(-127.675 + 39.3826i) q^{74} +(-260.874 + 125.630i) q^{75} +(-239.252 + 609.604i) q^{76} +(2.19293 - 29.2626i) q^{77} +(28.5684 - 35.8236i) q^{78} +(373.904 - 647.620i) q^{79} +(-260.700 - 451.545i) q^{80} +(889.306 + 134.041i) q^{81} +(-112.624 - 54.2367i) q^{82} +(-196.368 + 182.202i) q^{83} +(50.6239 - 221.798i) q^{84} +1145.79 q^{85} +(-69.0638 - 126.234i) q^{86} +550.648 q^{87} +(11.8287 - 51.8251i) q^{88} +(843.257 - 782.428i) q^{89} +(70.2765 + 33.8434i) q^{90} +(59.3822 + 8.95043i) q^{91} +(49.3089 + 85.4055i) q^{92} +(217.627 - 376.942i) q^{93} +(-181.421 + 227.495i) q^{94} +(57.0222 - 760.908i) q^{95} +(227.091 - 578.619i) q^{96} +(570.736 - 274.852i) q^{97} +(157.673 - 48.6357i) q^{98} +(-40.9822 - 104.421i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.113555 0.497516i 0.0401477 0.175898i −0.950879 0.309563i \(-0.899817\pi\)
0.991027 + 0.133664i \(0.0426744\pi\)
\(3\) 4.85972 4.50917i 0.935254 0.867789i −0.0561765 0.998421i \(-0.517891\pi\)
0.991431 + 0.130632i \(0.0417005\pi\)
\(4\) 6.97312 + 3.35808i 0.871640 + 0.419760i
\(5\) −8.91725 1.34406i −0.797584 0.120216i −0.262408 0.964957i \(-0.584517\pi\)
−0.535176 + 0.844741i \(0.679755\pi\)
\(6\) −1.69154 2.92983i −0.115094 0.199349i
\(7\) 2.21697 3.83991i 0.119705 0.207335i −0.799946 0.600072i \(-0.795138\pi\)
0.919651 + 0.392737i \(0.128472\pi\)
\(8\) 5.00791 6.27973i 0.221321 0.277527i
\(9\) 1.26664 16.9021i 0.0469125 0.626004i
\(10\) −1.68129 + 4.28385i −0.0531670 + 0.135467i
\(11\) 5.96279 2.87153i 0.163441 0.0787089i −0.350375 0.936610i \(-0.613946\pi\)
0.513816 + 0.857901i \(0.328232\pi\)
\(12\) 49.0296 15.1236i 1.17947 0.363818i
\(13\) 4.94815 + 12.6077i 0.105567 + 0.268980i 0.973891 0.227018i \(-0.0728975\pi\)
−0.868324 + 0.495998i \(0.834802\pi\)
\(14\) −1.65867 1.53902i −0.0316641 0.0293800i
\(15\) −49.3960 + 33.6776i −0.850266 + 0.579702i
\(16\) 36.0488 + 45.2038i 0.563263 + 0.706309i
\(17\) −125.638 + 18.9368i −1.79245 + 0.270168i −0.959199 0.282732i \(-0.908759\pi\)
−0.833248 + 0.552900i \(0.813521\pi\)
\(18\) −8.26523 2.54949i −0.108230 0.0333844i
\(19\) 6.32317 + 84.3768i 0.0763492 + 1.01881i 0.895451 + 0.445161i \(0.146853\pi\)
−0.819102 + 0.573648i \(0.805528\pi\)
\(20\) −57.6677 39.3171i −0.644744 0.439579i
\(21\) −6.54090 28.6576i −0.0679687 0.297790i
\(22\) −0.751528 3.29266i −0.00728301 0.0319089i
\(23\) 10.5279 + 7.17783i 0.0954446 + 0.0650731i 0.610102 0.792323i \(-0.291128\pi\)
−0.514657 + 0.857396i \(0.672081\pi\)
\(24\) −3.97924 53.0993i −0.0338441 0.451618i
\(25\) −41.7357 12.8737i −0.333885 0.102990i
\(26\) 6.83441 1.03012i 0.0515515 0.00777013i
\(27\) 41.5426 + 52.0928i 0.296107 + 0.371306i
\(28\) 28.3539 19.3314i 0.191371 0.130475i
\(29\) 60.8880 + 56.4958i 0.389884 + 0.361759i 0.850623 0.525777i \(-0.176225\pi\)
−0.460739 + 0.887536i \(0.652416\pi\)
\(30\) 11.1460 + 28.3995i 0.0678324 + 0.172834i
\(31\) 62.7379 19.3521i 0.363486 0.112121i −0.107632 0.994191i \(-0.534327\pi\)
0.471118 + 0.882070i \(0.343851\pi\)
\(32\) 84.4763 40.6816i 0.466670 0.224736i
\(33\) 16.0293 40.8420i 0.0845559 0.215445i
\(34\) −4.84538 + 64.6571i −0.0244404 + 0.326135i
\(35\) −24.9304 + 31.2617i −0.120400 + 0.150977i
\(36\) 65.5910 113.607i 0.303662 0.525958i
\(37\) −130.912 226.746i −0.581669 1.00748i −0.995282 0.0970272i \(-0.969067\pi\)
0.413613 0.910453i \(-0.364267\pi\)
\(38\) 42.6968 + 6.43551i 0.182272 + 0.0274731i
\(39\) 80.8968 + 38.9579i 0.332150 + 0.159955i
\(40\) −53.0972 + 49.2670i −0.209885 + 0.194745i
\(41\) 54.5075 238.813i 0.207625 0.909666i −0.758516 0.651654i \(-0.774075\pi\)
0.966142 0.258012i \(-0.0830674\pi\)
\(42\) −15.0003 −0.0551096
\(43\) 211.051 186.988i 0.748486 0.663150i
\(44\) 51.2221 0.175500
\(45\) −34.0124 + 149.018i −0.112673 + 0.493651i
\(46\) 4.76658 4.42274i 0.0152781 0.0141760i
\(47\) −513.729 247.399i −1.59436 0.767805i −0.595009 0.803719i \(-0.702852\pi\)
−0.999355 + 0.0359132i \(0.988566\pi\)
\(48\) 379.019 + 57.1279i 1.13972 + 0.171785i
\(49\) 161.670 + 280.021i 0.471341 + 0.816387i
\(50\) −11.1442 + 19.3023i −0.0315205 + 0.0545951i
\(51\) −525.175 + 658.548i −1.44194 + 1.80814i
\(52\) −7.83354 + 104.531i −0.0208907 + 0.278767i
\(53\) 174.520 444.671i 0.452306 1.15246i −0.504933 0.863159i \(-0.668483\pi\)
0.957239 0.289299i \(-0.0934221\pi\)
\(54\) 30.6344 14.7527i 0.0772002 0.0371776i
\(55\) −57.0312 + 17.5918i −0.139820 + 0.0431287i
\(56\) −13.0112 33.1519i −0.0310480 0.0791091i
\(57\) 411.198 + 381.536i 0.955517 + 0.886591i
\(58\) 35.0217 23.8774i 0.0792857 0.0540561i
\(59\) 55.0337 + 69.0101i 0.121437 + 0.152277i 0.838834 0.544388i \(-0.183238\pi\)
−0.717397 + 0.696665i \(0.754666\pi\)
\(60\) −457.536 + 68.9625i −0.984462 + 0.148384i
\(61\) −272.242 83.9754i −0.571426 0.176261i −0.00444139 0.999990i \(-0.501414\pi\)
−0.566984 + 0.823729i \(0.691890\pi\)
\(62\) −2.50378 33.4106i −0.00512872 0.0684380i
\(63\) −62.0944 42.3352i −0.124177 0.0846625i
\(64\) 92.2783 + 404.298i 0.180231 + 0.789644i
\(65\) −27.1785 119.077i −0.0518627 0.227225i
\(66\) −18.4994 12.6126i −0.0345017 0.0235229i
\(67\) −46.2809 617.575i −0.0843897 1.12610i −0.865231 0.501373i \(-0.832828\pi\)
0.780842 0.624729i \(-0.214791\pi\)
\(68\) −939.678 289.852i −1.67577 0.516908i
\(69\) 83.5289 12.5900i 0.145735 0.0219660i
\(70\) 12.7222 + 15.9532i 0.0217228 + 0.0272395i
\(71\) −13.0136 + 8.87250i −0.0217525 + 0.0148306i −0.574147 0.818752i \(-0.694666\pi\)
0.552395 + 0.833582i \(0.313714\pi\)
\(72\) −99.7974 92.5984i −0.163350 0.151567i
\(73\) 421.768 + 1074.65i 0.676222 + 1.72299i 0.690752 + 0.723092i \(0.257280\pi\)
−0.0145291 + 0.999894i \(0.504625\pi\)
\(74\) −127.675 + 39.3826i −0.200567 + 0.0618667i
\(75\) −260.874 + 125.630i −0.401641 + 0.193420i
\(76\) −239.252 + 609.604i −0.361106 + 0.920083i
\(77\) 2.19293 29.2626i 0.00324556 0.0433089i
\(78\) 28.5684 35.8236i 0.0414709 0.0520029i
\(79\) 373.904 647.620i 0.532499 0.922316i −0.466781 0.884373i \(-0.654586\pi\)
0.999280 0.0379425i \(-0.0120804\pi\)
\(80\) −260.700 451.545i −0.364339 0.631054i
\(81\) 889.306 + 134.041i 1.21990 + 0.183870i
\(82\) −112.624 54.2367i −0.151673 0.0730419i
\(83\) −196.368 + 182.202i −0.259688 + 0.240956i −0.799262 0.600983i \(-0.794776\pi\)
0.539573 + 0.841939i \(0.318586\pi\)
\(84\) 50.6239 221.798i 0.0657562 0.288097i
\(85\) 1145.79 1.46210
\(86\) −69.0638 126.234i −0.0865970 0.158281i
\(87\) 550.648 0.678571
\(88\) 11.8287 51.8251i 0.0143289 0.0627792i
\(89\) 843.257 782.428i 1.00433 0.931879i 0.00664784 0.999978i \(-0.497884\pi\)
0.997679 + 0.0680992i \(0.0216934\pi\)
\(90\) 70.2765 + 33.8434i 0.0823088 + 0.0396378i
\(91\) 59.3822 + 8.95043i 0.0684061 + 0.0103106i
\(92\) 49.3089 + 85.4055i 0.0558784 + 0.0967841i
\(93\) 217.627 376.942i 0.242655 0.420291i
\(94\) −181.421 + 227.495i −0.199066 + 0.249621i
\(95\) 57.0222 760.908i 0.0615827 0.821764i
\(96\) 227.091 578.619i 0.241431 0.615157i
\(97\) 570.736 274.852i 0.597417 0.287701i −0.110635 0.993861i \(-0.535288\pi\)
0.708052 + 0.706160i \(0.249574\pi\)
\(98\) 157.673 48.6357i 0.162524 0.0501321i
\(99\) −40.9822 104.421i −0.0416047 0.106007i
\(100\) −247.797 229.922i −0.247797 0.229922i
\(101\) −1360.62 + 927.655i −1.34046 + 0.913912i −0.999656 0.0262209i \(-0.991653\pi\)
−0.340807 + 0.940133i \(0.610700\pi\)
\(102\) 268.002 + 336.064i 0.260159 + 0.326228i
\(103\) −1713.41 + 258.256i −1.63910 + 0.247055i −0.902946 0.429754i \(-0.858600\pi\)
−0.736158 + 0.676809i \(0.763362\pi\)
\(104\) 103.953 + 32.0652i 0.0980135 + 0.0302332i
\(105\) 19.8094 + 264.338i 0.0184114 + 0.245684i
\(106\) −201.413 137.321i −0.184556 0.125828i
\(107\) 26.9822 + 118.217i 0.0243782 + 0.106808i 0.985653 0.168783i \(-0.0539837\pi\)
−0.961275 + 0.275591i \(0.911127\pi\)
\(108\) 114.750 + 502.753i 0.102239 + 0.447939i
\(109\) −273.337 186.358i −0.240192 0.163760i 0.437242 0.899344i \(-0.355955\pi\)
−0.677433 + 0.735584i \(0.736908\pi\)
\(110\) 2.27603 + 30.3716i 0.00197283 + 0.0263256i
\(111\) −1658.63 511.619i −1.41829 0.437484i
\(112\) 253.497 38.2086i 0.213868 0.0322355i
\(113\) 718.440 + 900.895i 0.598098 + 0.749992i 0.985080 0.172096i \(-0.0550538\pi\)
−0.386982 + 0.922087i \(0.626482\pi\)
\(114\) 236.514 161.252i 0.194312 0.132479i
\(115\) −84.2329 78.1567i −0.0683022 0.0633752i
\(116\) 234.862 + 598.419i 0.187986 + 0.478981i
\(117\) 219.364 67.6648i 0.173335 0.0534668i
\(118\) 40.5830 19.5437i 0.0316607 0.0152470i
\(119\) −205.819 + 524.419i −0.158550 + 0.403978i
\(120\) −35.8847 + 478.848i −0.0272984 + 0.364272i
\(121\) −802.556 + 1006.37i −0.602972 + 0.756103i
\(122\) −72.6934 + 125.909i −0.0539455 + 0.0934363i
\(123\) −811.955 1406.35i −0.595216 1.03094i
\(124\) 502.465 + 75.7344i 0.363893 + 0.0548480i
\(125\) 1370.48 + 659.988i 0.980635 + 0.472249i
\(126\) −28.1136 + 26.0856i −0.0198774 + 0.0184436i
\(127\) 122.365 536.115i 0.0854969 0.374587i −0.914020 0.405669i \(-0.867038\pi\)
0.999517 + 0.0310829i \(0.00989558\pi\)
\(128\) 961.716 0.664098
\(129\) 182.487 1860.37i 0.124551 1.26974i
\(130\) −62.3287 −0.0420507
\(131\) −347.398 + 1522.05i −0.231697 + 1.01513i 0.716534 + 0.697552i \(0.245727\pi\)
−0.948232 + 0.317580i \(0.897130\pi\)
\(132\) 248.925 230.969i 0.164138 0.152297i
\(133\) 338.017 + 162.781i 0.220375 + 0.106127i
\(134\) −312.509 47.1031i −0.201468 0.0303664i
\(135\) −300.430 520.361i −0.191533 0.331745i
\(136\) −510.264 + 883.804i −0.321727 + 0.557247i
\(137\) 106.450 133.484i 0.0663843 0.0832433i −0.747531 0.664227i \(-0.768761\pi\)
0.813915 + 0.580984i \(0.197332\pi\)
\(138\) 3.22140 42.9866i 0.00198713 0.0265164i
\(139\) −824.166 + 2099.94i −0.502912 + 1.28140i 0.423844 + 0.905735i \(0.360681\pi\)
−0.926756 + 0.375664i \(0.877415\pi\)
\(140\) −278.822 + 134.273i −0.168319 + 0.0810584i
\(141\) −3612.15 + 1114.20i −2.15743 + 0.665479i
\(142\) 2.93646 + 7.48197i 0.00173537 + 0.00442164i
\(143\) 65.7081 + 60.9682i 0.0384251 + 0.0356533i
\(144\) 809.700 552.044i 0.468576 0.319470i
\(145\) −467.020 585.625i −0.267475 0.335403i
\(146\) 582.548 87.8050i 0.330219 0.0497726i
\(147\) 2048.33 + 631.827i 1.14928 + 0.354505i
\(148\) −151.433 2020.74i −0.0841064 1.12232i
\(149\) 4.41084 + 3.00726i 0.00242517 + 0.00165345i 0.564532 0.825411i \(-0.309057\pi\)
−0.562107 + 0.827065i \(0.690009\pi\)
\(150\) 32.8795 + 144.055i 0.0178974 + 0.0784134i
\(151\) −616.074 2699.20i −0.332023 1.45469i −0.815208 0.579168i \(-0.803378\pi\)
0.483186 0.875518i \(-0.339480\pi\)
\(152\) 561.529 + 382.844i 0.299645 + 0.204294i
\(153\) 160.935 + 2147.53i 0.0850380 + 1.13475i
\(154\) −14.3096 4.41393i −0.00748767 0.00230964i
\(155\) −585.461 + 88.2440i −0.303389 + 0.0457286i
\(156\) 433.280 + 543.316i 0.222373 + 0.278847i
\(157\) 1609.60 1097.40i 0.818215 0.557850i −0.0803108 0.996770i \(-0.525591\pi\)
0.898526 + 0.438920i \(0.144639\pi\)
\(158\) −279.743 259.563i −0.140855 0.130695i
\(159\) −1156.97 2947.92i −0.577069 1.47035i
\(160\) −807.975 + 249.227i −0.399225 + 0.123145i
\(161\) 50.9023 24.5133i 0.0249172 0.0119995i
\(162\) 167.673 427.223i 0.0813185 0.207196i
\(163\) −70.8205 + 945.034i −0.0340312 + 0.454115i 0.953994 + 0.299825i \(0.0969282\pi\)
−0.988026 + 0.154290i \(0.950691\pi\)
\(164\) 1182.04 1482.23i 0.562816 0.705749i
\(165\) −197.832 + 342.654i −0.0933405 + 0.161670i
\(166\) 68.3501 + 118.386i 0.0319578 + 0.0553526i
\(167\) 3367.06 + 507.503i 1.56019 + 0.235160i 0.871682 0.490072i \(-0.163030\pi\)
0.688504 + 0.725233i \(0.258268\pi\)
\(168\) −212.718 102.440i −0.0976878 0.0470440i
\(169\) 1476.05 1369.57i 0.671846 0.623382i
\(170\) 130.110 570.051i 0.0587001 0.257182i
\(171\) 1434.16 0.641360
\(172\) 2099.60 595.168i 0.930775 0.263844i
\(173\) 283.633 0.124649 0.0623244 0.998056i \(-0.480149\pi\)
0.0623244 + 0.998056i \(0.480149\pi\)
\(174\) 62.5287 273.956i 0.0272430 0.119360i
\(175\) −141.961 + 131.720i −0.0613213 + 0.0568978i
\(176\) 344.755 + 166.025i 0.147653 + 0.0711059i
\(177\) 578.627 + 87.2140i 0.245719 + 0.0370362i
\(178\) −293.514 508.382i −0.123595 0.214072i
\(179\) −1525.18 + 2641.69i −0.636855 + 1.10307i 0.349263 + 0.937025i \(0.386432\pi\)
−0.986119 + 0.166041i \(0.946901\pi\)
\(180\) −737.587 + 924.904i −0.305425 + 0.382991i
\(181\) 201.618 2690.41i 0.0827966 1.10484i −0.788810 0.614637i \(-0.789302\pi\)
0.871606 0.490206i \(-0.163079\pi\)
\(182\) 11.1961 28.5272i 0.00455995 0.0116186i
\(183\) −1701.68 + 819.485i −0.687386 + 0.331028i
\(184\) 97.7978 30.1666i 0.0391834 0.0120865i
\(185\) 862.613 + 2197.90i 0.342814 + 0.873476i
\(186\) −162.822 151.077i −0.0641864 0.0595563i
\(187\) −694.773 + 473.688i −0.271694 + 0.185238i
\(188\) −2751.51 3450.29i −1.06742 1.33850i
\(189\) 292.130 44.0316i 0.112430 0.0169462i
\(190\) −372.089 114.774i −0.142075 0.0438242i
\(191\) 177.429 + 2367.62i 0.0672162 + 0.896938i 0.924277 + 0.381723i \(0.124669\pi\)
−0.857061 + 0.515215i \(0.827712\pi\)
\(192\) 2271.49 + 1548.68i 0.853807 + 0.582116i
\(193\) −81.5723 357.391i −0.0304233 0.133293i 0.957436 0.288647i \(-0.0932054\pi\)
−0.987859 + 0.155354i \(0.950348\pi\)
\(194\) −71.9335 315.161i −0.0266212 0.116635i
\(195\) −669.016 456.127i −0.245688 0.167507i
\(196\) 187.013 + 2495.52i 0.0681536 + 0.909446i
\(197\) −545.260 168.190i −0.197199 0.0608278i 0.194582 0.980886i \(-0.437665\pi\)
−0.391781 + 0.920058i \(0.628141\pi\)
\(198\) −56.6047 + 8.53179i −0.0203168 + 0.00306226i
\(199\) −154.030 193.148i −0.0548690 0.0688035i 0.753640 0.657288i \(-0.228296\pi\)
−0.808509 + 0.588484i \(0.799725\pi\)
\(200\) −289.852 + 197.618i −0.102478 + 0.0698685i
\(201\) −3009.66 2792.56i −1.05615 0.979960i
\(202\) 307.018 + 782.270i 0.106939 + 0.272477i
\(203\) 351.926 108.555i 0.121677 0.0375322i
\(204\) −5873.57 + 2828.56i −2.01584 + 0.970779i
\(205\) −807.036 + 2056.29i −0.274955 + 0.700575i
\(206\) −66.0800 + 881.777i −0.0223496 + 0.298234i
\(207\) 134.655 168.853i 0.0452135 0.0566960i
\(208\) −391.540 + 678.168i −0.130521 + 0.226070i
\(209\) 279.994 + 484.964i 0.0926679 + 0.160506i
\(210\) 133.762 + 20.1614i 0.0439545 + 0.00662508i
\(211\) −3569.47 1718.96i −1.16461 0.560845i −0.251217 0.967931i \(-0.580831\pi\)
−0.913390 + 0.407085i \(0.866545\pi\)
\(212\) 2710.19 2514.69i 0.878004 0.814668i
\(213\) −23.2348 + 101.798i −0.00747428 + 0.0327469i
\(214\) 61.8787 0.0197661
\(215\) −2133.32 + 1383.76i −0.676702 + 0.438937i
\(216\) 535.171 0.168582
\(217\) 64.7780 283.811i 0.0202646 0.0887849i
\(218\) −123.755 + 114.827i −0.0384482 + 0.0356747i
\(219\) 6895.44 + 3320.67i 2.12763 + 1.02461i
\(220\) −456.760 68.8455i −0.139976 0.0210980i
\(221\) −860.424 1490.30i −0.261893 0.453612i
\(222\) −442.884 + 767.097i −0.133894 + 0.231911i
\(223\) 2452.88 3075.81i 0.736578 0.923640i −0.262570 0.964913i \(-0.584570\pi\)
0.999148 + 0.0412731i \(0.0131414\pi\)
\(224\) 31.0678 414.571i 0.00926698 0.123659i
\(225\) −270.457 + 689.114i −0.0801355 + 0.204182i
\(226\) 529.792 255.134i 0.155935 0.0750941i
\(227\) −1116.08 + 344.266i −0.326330 + 0.100660i −0.453592 0.891210i \(-0.649858\pi\)
0.127261 + 0.991869i \(0.459381\pi\)
\(228\) 1586.11 + 4041.33i 0.460712 + 1.17388i
\(229\) −3643.10 3380.30i −1.05128 0.975444i −0.0515487 0.998670i \(-0.516416\pi\)
−0.999730 + 0.0232262i \(0.992606\pi\)
\(230\) −48.4492 + 33.0321i −0.0138898 + 0.00946989i
\(231\) −121.293 152.097i −0.0345476 0.0433213i
\(232\) 659.700 99.4338i 0.186687 0.0281386i
\(233\) 3395.67 + 1047.42i 0.954753 + 0.294502i 0.732715 0.680536i \(-0.238253\pi\)
0.222038 + 0.975038i \(0.428729\pi\)
\(234\) −8.75450 116.821i −0.00244573 0.0326359i
\(235\) 4248.54 + 2896.60i 1.17934 + 0.804058i
\(236\) 152.016 + 666.024i 0.0419295 + 0.183705i
\(237\) −1103.16 4833.25i −0.302353 1.32470i
\(238\) 237.535 + 161.949i 0.0646937 + 0.0441074i
\(239\) 182.823 + 2439.61i 0.0494806 + 0.660272i 0.965711 + 0.259620i \(0.0835973\pi\)
−0.916230 + 0.400652i \(0.868784\pi\)
\(240\) −3303.02 1018.85i −0.888372 0.274026i
\(241\) −2169.13 + 326.943i −0.579775 + 0.0873870i −0.432381 0.901691i \(-0.642326\pi\)
−0.147394 + 0.989078i \(0.547088\pi\)
\(242\) 409.552 + 513.563i 0.108789 + 0.136418i
\(243\) 3439.80 2345.22i 0.908080 0.619118i
\(244\) −1616.38 1499.78i −0.424090 0.393498i
\(245\) −1065.29 2714.31i −0.277791 0.707800i
\(246\) −791.882 + 244.263i −0.205238 + 0.0633075i
\(247\) −1032.51 + 497.230i −0.265980 + 0.128089i
\(248\) 192.660 490.891i 0.0493304 0.125692i
\(249\) −132.711 + 1770.91i −0.0337760 + 0.450710i
\(250\) 483.979 606.890i 0.122438 0.153532i
\(251\) −2297.20 + 3978.87i −0.577681 + 1.00057i 0.418063 + 0.908418i \(0.362709\pi\)
−0.995745 + 0.0921556i \(0.970624\pi\)
\(252\) −290.827 503.727i −0.0726999 0.125920i
\(253\) 83.3872 + 12.5686i 0.0207214 + 0.00312325i
\(254\) −252.830 121.757i −0.0624567 0.0300775i
\(255\) 5568.25 5166.58i 1.36744 1.26880i
\(256\) −629.019 + 2755.91i −0.153569 + 0.672830i
\(257\) −1670.64 −0.405494 −0.202747 0.979231i \(-0.564987\pi\)
−0.202747 + 0.979231i \(0.564987\pi\)
\(258\) −904.843 302.044i −0.218345 0.0728855i
\(259\) −1160.91 −0.278515
\(260\) 210.350 921.603i 0.0501744 0.219828i
\(261\) 1032.02 957.576i 0.244753 0.227098i
\(262\) 717.796 + 345.672i 0.169258 + 0.0815103i
\(263\) 7286.39 + 1098.25i 1.70836 + 0.257494i 0.929265 0.369414i \(-0.120442\pi\)
0.779093 + 0.626908i \(0.215680\pi\)
\(264\) −176.203 305.193i −0.0410779 0.0711490i
\(265\) −2153.91 + 3730.68i −0.499296 + 0.864806i
\(266\) 119.369 149.684i 0.0275151 0.0345028i
\(267\) 569.899 7604.77i 0.130626 1.74309i
\(268\) 1751.14 4461.84i 0.399135 1.01698i
\(269\) 4353.36 2096.47i 0.986726 0.475182i 0.130313 0.991473i \(-0.458402\pi\)
0.856413 + 0.516291i \(0.172688\pi\)
\(270\) −293.003 + 90.3794i −0.0660429 + 0.0203715i
\(271\) 716.617 + 1825.91i 0.160632 + 0.409285i 0.988417 0.151761i \(-0.0484944\pi\)
−0.827785 + 0.561046i \(0.810399\pi\)
\(272\) −5385.10 4996.65i −1.20044 1.11385i
\(273\) 328.940 224.268i 0.0729245 0.0497191i
\(274\) −54.3226 68.1184i −0.0119772 0.0150189i
\(275\) −285.828 + 43.0817i −0.0626767 + 0.00944699i
\(276\) 624.735 + 192.705i 0.136249 + 0.0420272i
\(277\) 498.089 + 6646.53i 0.108041 + 1.44170i 0.743070 + 0.669214i \(0.233369\pi\)
−0.635029 + 0.772488i \(0.719012\pi\)
\(278\) 951.165 + 648.493i 0.205205 + 0.139907i
\(279\) −247.625 1084.92i −0.0531359 0.232803i
\(280\) 71.4657 + 313.112i 0.0152532 + 0.0668286i
\(281\) 1924.31 + 1311.97i 0.408521 + 0.278525i 0.750095 0.661330i \(-0.230008\pi\)
−0.341574 + 0.939855i \(0.610960\pi\)
\(282\) 144.156 + 1923.62i 0.0304409 + 0.406206i
\(283\) 2061.63 + 635.930i 0.433044 + 0.133576i 0.503611 0.863931i \(-0.332005\pi\)
−0.0705669 + 0.997507i \(0.522481\pi\)
\(284\) −120.540 + 18.1684i −0.0251856 + 0.00379612i
\(285\) −3153.95 3954.93i −0.655522 0.821999i
\(286\) 37.7941 25.7676i 0.00781403 0.00532752i
\(287\) −796.177 738.745i −0.163752 0.151940i
\(288\) −580.604 1479.36i −0.118793 0.302680i
\(289\) 10731.5 3310.22i 2.18430 0.673768i
\(290\) −344.390 + 165.849i −0.0697354 + 0.0335828i
\(291\) 1534.27 3909.25i 0.309073 0.787506i
\(292\) −667.711 + 8909.98i −0.133818 + 1.78568i
\(293\) −4065.80 + 5098.35i −0.810671 + 1.01655i 0.188733 + 0.982028i \(0.439562\pi\)
−0.999404 + 0.0345208i \(0.989009\pi\)
\(294\) 546.942 947.331i 0.108498 0.187923i
\(295\) −397.996 689.350i −0.0785499 0.136052i
\(296\) −2079.50 313.434i −0.408339 0.0615471i
\(297\) 397.296 + 191.328i 0.0776210 + 0.0373803i
\(298\) 1.99703 1.85297i 0.000388204 0.000360201i
\(299\) −38.4020 + 168.250i −0.00742757 + 0.0325423i
\(300\) −2240.98 −0.431277
\(301\) −250.125 1224.96i −0.0478968 0.234570i
\(302\) −1412.85 −0.269207
\(303\) −2429.29 + 10643.4i −0.460591 + 2.01798i
\(304\) −3586.21 + 3327.52i −0.676590 + 0.627783i
\(305\) 2314.78 + 1114.74i 0.434570 + 0.209278i
\(306\) 1086.70 + 163.794i 0.203015 + 0.0305996i
\(307\) −3516.33 6090.45i −0.653704 1.13225i −0.982217 0.187750i \(-0.939881\pi\)
0.328512 0.944500i \(-0.393453\pi\)
\(308\) 113.558 196.688i 0.0210083 0.0363875i
\(309\) −7162.20 + 8981.12i −1.31859 + 1.65346i
\(310\) −22.5790 + 301.296i −0.00413678 + 0.0552016i
\(311\) −294.293 + 749.847i −0.0536586 + 0.136720i −0.955190 0.295995i \(-0.904349\pi\)
0.901531 + 0.432715i \(0.142444\pi\)
\(312\) 649.769 312.912i 0.117904 0.0567794i
\(313\) −9426.47 + 2907.68i −1.70229 + 0.525086i −0.985128 0.171824i \(-0.945034\pi\)
−0.717159 + 0.696910i \(0.754558\pi\)
\(314\) −363.199 925.415i −0.0652754 0.166319i
\(315\) 496.810 + 460.973i 0.0888638 + 0.0824536i
\(316\) 4782.03 3260.34i 0.851299 0.580406i
\(317\) −3708.47 4650.28i −0.657061 0.823929i 0.335958 0.941877i \(-0.390940\pi\)
−0.993020 + 0.117948i \(0.962368\pi\)
\(318\) −1598.02 + 240.862i −0.281800 + 0.0424745i
\(319\) 525.292 + 162.031i 0.0921965 + 0.0284389i
\(320\) −279.469 3729.25i −0.0488212 0.651474i
\(321\) 664.185 + 452.834i 0.115487 + 0.0787375i
\(322\) −6.41554 28.1083i −0.00111032 0.00486464i
\(323\) −2392.26 10481.2i −0.412101 1.80553i
\(324\) 5751.12 + 3921.05i 0.986132 + 0.672333i
\(325\) −44.2063 589.892i −0.00754499 0.100681i
\(326\) 462.127 + 142.547i 0.0785118 + 0.0242177i
\(327\) −2168.66 + 326.873i −0.366749 + 0.0552786i
\(328\) −1226.71 1538.25i −0.206505 0.258950i
\(329\) −2088.91 + 1424.20i −0.350047 + 0.238658i
\(330\) 148.011 + 137.334i 0.0246902 + 0.0229091i
\(331\) −236.674 603.035i −0.0393014 0.100138i 0.909876 0.414881i \(-0.136177\pi\)
−0.949177 + 0.314743i \(0.898082\pi\)
\(332\) −1981.15 + 611.102i −0.327498 + 0.101020i
\(333\) −3998.30 + 1925.48i −0.657974 + 0.316864i
\(334\) 634.836 1617.54i 0.104002 0.264993i
\(335\) −417.360 + 5569.28i −0.0680681 + 0.908306i
\(336\) 1059.64 1328.75i 0.172048 0.215741i
\(337\) −3524.99 + 6105.47i −0.569788 + 0.986902i 0.426798 + 0.904347i \(0.359641\pi\)
−0.996586 + 0.0825553i \(0.973692\pi\)
\(338\) −513.771 889.877i −0.0826788 0.143204i
\(339\) 7553.70 + 1138.54i 1.21021 + 0.182410i
\(340\) 7989.77 + 3847.67i 1.27443 + 0.613733i
\(341\) 318.523 295.546i 0.0505835 0.0469347i
\(342\) 162.855 713.515i 0.0257491 0.112814i
\(343\) 2954.51 0.465098
\(344\) −117.312 2261.76i −0.0183867 0.354494i
\(345\) −761.770 −0.118876
\(346\) 32.2079 141.112i 0.00500436 0.0219255i
\(347\) −4449.96 + 4128.96i −0.688433 + 0.638773i −0.944739 0.327823i \(-0.893685\pi\)
0.256306 + 0.966596i \(0.417495\pi\)
\(348\) 3839.74 + 1849.12i 0.591470 + 0.284837i
\(349\) 4242.89 + 639.512i 0.650763 + 0.0980868i 0.466124 0.884719i \(-0.345650\pi\)
0.184640 + 0.982806i \(0.440888\pi\)
\(350\) 49.4126 + 85.5852i 0.00754633 + 0.0130706i
\(351\) −451.211 + 781.520i −0.0686149 + 0.118845i
\(352\) 386.896 485.152i 0.0585841 0.0734622i
\(353\) 884.048 11796.8i 0.133295 1.77870i −0.384433 0.923153i \(-0.625603\pi\)
0.517728 0.855545i \(-0.326778\pi\)
\(354\) 109.096 277.972i 0.0163796 0.0417347i
\(355\) 127.970 61.6273i 0.0191323 0.00921363i
\(356\) 8507.59 2624.24i 1.26658 0.390687i
\(357\) 1364.47 + 3476.60i 0.202284 + 0.515410i
\(358\) 1141.09 + 1058.78i 0.168459 + 0.156307i
\(359\) −2513.88 + 1713.94i −0.369576 + 0.251973i −0.733839 0.679324i \(-0.762273\pi\)
0.364263 + 0.931296i \(0.381321\pi\)
\(360\) 765.461 + 959.858i 0.112065 + 0.140525i
\(361\) −297.075 + 44.7768i −0.0433117 + 0.00652819i
\(362\) −1315.63 405.817i −0.191016 0.0589207i
\(363\) 637.703 + 8509.55i 0.0922058 + 1.23040i
\(364\) 384.023 + 261.823i 0.0552975 + 0.0377012i
\(365\) −2316.62 10149.8i −0.332213 1.45552i
\(366\) 214.473 + 939.668i 0.0306303 + 0.134200i
\(367\) −1372.67 935.868i −0.195239 0.133112i 0.461755 0.887007i \(-0.347220\pi\)
−0.656994 + 0.753896i \(0.728172\pi\)
\(368\) 55.0548 + 734.655i 0.00779872 + 0.104067i
\(369\) −3967.40 1223.78i −0.559714 0.172649i
\(370\) 1191.44 179.581i 0.167406 0.0252324i
\(371\) −1320.59 1655.96i −0.184802 0.231734i
\(372\) 2783.34 1897.65i 0.387929 0.264485i
\(373\) −802.663 744.762i −0.111422 0.103384i 0.622495 0.782624i \(-0.286119\pi\)
−0.733916 + 0.679240i \(0.762310\pi\)
\(374\) 156.773 + 399.450i 0.0216752 + 0.0552275i
\(375\) 9636.15 2972.36i 1.32696 0.409312i
\(376\) −4126.31 + 1987.13i −0.565953 + 0.272548i
\(377\) −410.999 + 1047.21i −0.0561472 + 0.143061i
\(378\) 11.2664 150.339i 0.00153302 0.0204567i
\(379\) 5392.80 6762.36i 0.730896 0.916515i −0.268003 0.963418i \(-0.586364\pi\)
0.998899 + 0.0469032i \(0.0149352\pi\)
\(380\) 2952.81 5114.42i 0.398621 0.690433i
\(381\) −1822.77 3157.13i −0.245101 0.424527i
\(382\) 1198.08 + 180.581i 0.160468 + 0.0241867i
\(383\) −10296.9 4958.71i −1.37375 0.661561i −0.406090 0.913833i \(-0.633108\pi\)
−0.967656 + 0.252272i \(0.918822\pi\)
\(384\) 4673.67 4336.54i 0.621100 0.576297i
\(385\) −58.8857 + 257.995i −0.00779504 + 0.0341523i
\(386\) −187.071 −0.0246675
\(387\) −2893.17 3804.05i −0.380021 0.499665i
\(388\) 4902.79 0.641499
\(389\) 467.938 2050.17i 0.0609908 0.267218i −0.935234 0.354030i \(-0.884811\pi\)
0.996225 + 0.0868124i \(0.0276681\pi\)
\(390\) −302.900 + 281.051i −0.0393281 + 0.0364911i
\(391\) −1458.63 702.439i −0.188660 0.0908539i
\(392\) 2568.08 + 387.076i 0.330887 + 0.0498732i
\(393\) 5174.92 + 8963.23i 0.664224 + 1.15047i
\(394\) −145.594 + 252.177i −0.0186166 + 0.0322448i
\(395\) −4204.63 + 5272.44i −0.535590 + 0.671609i
\(396\) 64.8798 865.761i 0.00823317 0.109864i
\(397\) 3278.90 8354.50i 0.414517 1.05617i −0.559325 0.828948i \(-0.688940\pi\)
0.973842 0.227224i \(-0.0729650\pi\)
\(398\) −113.585 + 54.6997i −0.0143053 + 0.00688907i
\(399\) 2376.68 733.107i 0.298202 0.0919831i
\(400\) −922.579 2350.69i −0.115322 0.293837i
\(401\) 6081.44 + 5642.75i 0.757338 + 0.702707i 0.961065 0.276321i \(-0.0891152\pi\)
−0.203728 + 0.979028i \(0.565306\pi\)
\(402\) −1731.10 + 1180.25i −0.214775 + 0.146431i
\(403\) 554.422 + 695.223i 0.0685303 + 0.0859343i
\(404\) −12602.9 + 1899.58i −1.55203 + 0.233930i
\(405\) −7750.01 2390.56i −0.950867 0.293304i
\(406\) −14.0448 187.415i −0.00171683 0.0229095i
\(407\) −1431.71 976.120i −0.174366 0.118881i
\(408\) 1505.47 + 6595.91i 0.182677 + 0.800358i
\(409\) −73.8726 323.657i −0.00893097 0.0391291i 0.970266 0.242041i \(-0.0778167\pi\)
−0.979197 + 0.202912i \(0.934960\pi\)
\(410\) 931.396 + 635.015i 0.112191 + 0.0764906i
\(411\) −84.5842 1128.70i −0.0101514 0.135461i
\(412\) −12815.1 3952.93i −1.53241 0.472687i
\(413\) 387.001 58.3310i 0.0461091 0.00694983i
\(414\) −68.7161 86.1672i −0.00815751 0.0102292i
\(415\) 1995.95 1360.82i 0.236090 0.160963i
\(416\) 930.903 + 863.752i 0.109715 + 0.101800i
\(417\) 5463.76 + 13921.4i 0.641634 + 1.63486i
\(418\) 273.072 84.2315i 0.0319531 0.00985622i
\(419\) 1627.00 783.523i 0.189700 0.0913546i −0.336623 0.941640i \(-0.609285\pi\)
0.526323 + 0.850285i \(0.323570\pi\)
\(420\) −749.535 + 1909.78i −0.0870799 + 0.221876i
\(421\) −546.507 + 7292.64i −0.0632664 + 0.844231i 0.871823 + 0.489820i \(0.162938\pi\)
−0.935090 + 0.354411i \(0.884681\pi\)
\(422\) −1260.54 + 1580.67i −0.145408 + 0.182336i
\(423\) −4832.27 + 8369.74i −0.555445 + 0.962059i
\(424\) −1918.43 3322.81i −0.219734 0.380590i
\(425\) 5487.36 + 827.086i 0.626296 + 0.0943990i
\(426\) 48.0078 + 23.1193i 0.00546006 + 0.00262943i
\(427\) −926.009 + 859.211i −0.104948 + 0.0973774i
\(428\) −208.831 + 914.949i −0.0235847 + 0.103331i
\(429\) 594.239 0.0668768
\(430\) 446.193 + 1218.49i 0.0500404 + 0.136653i
\(431\) 15442.7 1.72587 0.862934 0.505317i \(-0.168625\pi\)
0.862934 + 0.505317i \(0.168625\pi\)
\(432\) −857.230 + 3755.77i −0.0954710 + 0.418286i
\(433\) 10885.1 10099.9i 1.20809 1.12095i 0.218682 0.975796i \(-0.429824\pi\)
0.989410 0.145150i \(-0.0463663\pi\)
\(434\) −133.844 64.4561i −0.0148036 0.00712901i
\(435\) −4910.27 740.104i −0.541217 0.0815753i
\(436\) −1280.21 2217.38i −0.140621 0.243563i
\(437\) −539.072 + 933.701i −0.0590099 + 0.102208i
\(438\) 2435.10 3053.51i 0.265647 0.333111i
\(439\) −909.148 + 12131.7i −0.0988412 + 1.31894i 0.698585 + 0.715527i \(0.253814\pi\)
−0.797426 + 0.603417i \(0.793806\pi\)
\(440\) −175.136 + 446.239i −0.0189756 + 0.0483491i
\(441\) 4937.72 2377.88i 0.533173 0.256763i
\(442\) −839.152 + 258.844i −0.0903040 + 0.0278551i
\(443\) 73.3075 + 186.785i 0.00786218 + 0.0200325i 0.934751 0.355304i \(-0.115623\pi\)
−0.926889 + 0.375336i \(0.877527\pi\)
\(444\) −9847.77 9137.39i −1.05260 0.976670i
\(445\) −8571.17 + 5843.72i −0.913061 + 0.622515i
\(446\) −1251.73 1569.62i −0.132895 0.166645i
\(447\) 34.9957 5.27475i 0.00370300 0.000558137i
\(448\) 1757.04 + 541.976i 0.185296 + 0.0571562i
\(449\) −552.959 7378.72i −0.0581197 0.775553i −0.947779 0.318928i \(-0.896677\pi\)
0.889659 0.456625i \(-0.150942\pi\)
\(450\) 312.133 + 212.809i 0.0326980 + 0.0222931i
\(451\) −360.741 1580.51i −0.0376644 0.165018i
\(452\) 1984.49 + 8694.63i 0.206510 + 0.904781i
\(453\) −15165.1 10339.4i −1.57289 1.07238i
\(454\) 44.5412 + 594.361i 0.00460446 + 0.0614422i
\(455\) −517.497 159.627i −0.0533200 0.0164471i
\(456\) 4455.19 671.511i 0.457529 0.0689614i
\(457\) 5378.03 + 6743.83i 0.550489 + 0.690292i 0.976768 0.214300i \(-0.0687471\pi\)
−0.426279 + 0.904592i \(0.640176\pi\)
\(458\) −2095.45 + 1428.65i −0.213785 + 0.145756i
\(459\) −6205.79 5758.13i −0.631071 0.585548i
\(460\) −324.910 827.857i −0.0329326 0.0839109i
\(461\) −11153.2 + 3440.31i −1.12680 + 0.347573i −0.801475 0.598028i \(-0.795951\pi\)
−0.325328 + 0.945601i \(0.605475\pi\)
\(462\) −89.4439 + 43.0739i −0.00900716 + 0.00433762i
\(463\) −4249.76 + 10828.2i −0.426572 + 1.08689i 0.542488 + 0.840064i \(0.317482\pi\)
−0.969060 + 0.246825i \(0.920613\pi\)
\(464\) −358.884 + 4788.98i −0.0359069 + 0.479144i
\(465\) −2447.27 + 3068.78i −0.244063 + 0.306046i
\(466\) 906.704 1570.46i 0.0901336 0.156116i
\(467\) 870.207 + 1507.24i 0.0862277 + 0.149351i 0.905914 0.423462i \(-0.139185\pi\)
−0.819686 + 0.572813i \(0.805852\pi\)
\(468\) 1756.88 + 264.806i 0.173529 + 0.0261553i
\(469\) −2474.03 1191.43i −0.243583 0.117303i
\(470\) 1923.55 1784.79i 0.188780 0.175162i
\(471\) 2873.82 12591.0i 0.281143 1.23177i
\(472\) 708.969 0.0691376
\(473\) 721.508 1721.01i 0.0701374 0.167298i
\(474\) −2529.89 −0.245151
\(475\) 822.344 3602.93i 0.0794352 0.348029i
\(476\) −3196.24 + 2965.68i −0.307772 + 0.285571i
\(477\) −7294.82 3513.00i −0.700224 0.337210i
\(478\) 1234.50 + 186.071i 0.118127 + 0.0178048i
\(479\) 5528.15 + 9575.03i 0.527322 + 0.913349i 0.999493 + 0.0318419i \(0.0101373\pi\)
−0.472171 + 0.881507i \(0.656529\pi\)
\(480\) −2802.73 + 4854.47i −0.266514 + 0.461615i
\(481\) 2210.97 2772.47i 0.209587 0.262814i
\(482\) −83.6552 + 1116.30i −0.00790537 + 0.105490i
\(483\) 136.837 348.655i 0.0128909 0.0328454i
\(484\) −8975.80 + 4322.52i −0.842957 + 0.405946i
\(485\) −5458.82 + 1683.82i −0.511077 + 0.157646i
\(486\) −776.177 1977.67i −0.0724446 0.184586i
\(487\) 6094.39 + 5654.77i 0.567070 + 0.526164i 0.910769 0.412916i \(-0.135490\pi\)
−0.343699 + 0.939080i \(0.611680\pi\)
\(488\) −1890.71 + 1289.06i −0.175386 + 0.119576i
\(489\) 3917.15 + 4911.95i 0.362248 + 0.454245i
\(490\) −1471.38 + 221.775i −0.135654 + 0.0204465i
\(491\) 10206.2 + 3148.20i 0.938086 + 0.289361i 0.725847 0.687857i \(-0.241448\pi\)
0.212239 + 0.977218i \(0.431924\pi\)
\(492\) −939.237 12533.2i −0.0860652 1.14846i
\(493\) −8719.68 5944.97i −0.796581 0.543100i
\(494\) 130.134 + 570.152i 0.0118522 + 0.0519279i
\(495\) 225.101 + 986.230i 0.0204394 + 0.0895510i
\(496\) 3136.42 + 2138.37i 0.283930 + 0.193580i
\(497\) 5.21887 + 69.6409i 0.000471022 + 0.00628536i
\(498\) 865.984 + 267.121i 0.0779231 + 0.0240361i
\(499\) −9831.99 + 1481.93i −0.882045 + 0.132947i −0.574420 0.818561i \(-0.694772\pi\)
−0.307625 + 0.951508i \(0.599534\pi\)
\(500\) 7340.23 + 9204.36i 0.656530 + 0.823263i
\(501\) 18651.4 12716.3i 1.66324 1.13398i
\(502\) 1718.69 + 1594.71i 0.152807 + 0.141784i
\(503\) 333.668 + 850.171i 0.0295775 + 0.0753624i 0.944900 0.327360i \(-0.106159\pi\)
−0.915322 + 0.402723i \(0.868064\pi\)
\(504\) −576.817 + 177.925i −0.0509791 + 0.0157250i
\(505\) 13379.8 6443.38i 1.17900 0.567776i
\(506\) 15.7221 40.0592i 0.00138129 0.00351947i
\(507\) 997.556 13311.5i 0.0873827 1.16604i
\(508\) 2653.58 3327.48i 0.231759 0.290617i
\(509\) 9078.69 15724.8i 0.790581 1.36933i −0.135026 0.990842i \(-0.543112\pi\)
0.925607 0.378485i \(-0.123555\pi\)
\(510\) −1938.15 3356.98i −0.168280 0.291470i
\(511\) 5061.59 + 762.913i 0.438183 + 0.0660455i
\(512\) 8231.49 + 3964.08i 0.710516 + 0.342166i
\(513\) −4132.75 + 3834.63i −0.355683 + 0.330025i
\(514\) −189.710 + 831.172i −0.0162796 + 0.0713257i
\(515\) 15626.1 1.33702
\(516\) 7519.79 12359.8i 0.641551 1.05448i
\(517\) −3773.67 −0.321017
\(518\) −131.827 + 577.571i −0.0111817 + 0.0489904i
\(519\) 1378.38 1278.95i 0.116578 0.108169i
\(520\) −883.876 425.652i −0.0745395 0.0358963i
\(521\) 12743.5 + 1920.77i 1.07160 + 0.161517i 0.661064 0.750329i \(-0.270105\pi\)
0.410532 + 0.911846i \(0.365343\pi\)
\(522\) −359.218 622.184i −0.0301198 0.0521691i
\(523\) 4132.07 7156.96i 0.345474 0.598379i −0.639966 0.768404i \(-0.721051\pi\)
0.985440 + 0.170025i \(0.0543847\pi\)
\(524\) −7533.62 + 9446.86i −0.628068 + 0.787572i
\(525\) −95.9414 + 1280.25i −0.00797567 + 0.106428i
\(526\) 1373.80 3500.38i 0.113879 0.290160i
\(527\) −7515.78 + 3619.41i −0.621238 + 0.299172i
\(528\) 2424.05 747.721i 0.199798 0.0616295i
\(529\) −4385.79 11174.8i −0.360466 0.918452i
\(530\) 1611.48 + 1495.24i 0.132072 + 0.122545i
\(531\) 1236.12 842.775i 0.101023 0.0688763i
\(532\) 1810.41 + 2270.18i 0.147540 + 0.185009i
\(533\) 3280.59 494.469i 0.266601 0.0401836i
\(534\) −3718.78 1147.09i −0.301362 0.0929578i
\(535\) −81.7168 1090.44i −0.00660360 0.0881189i
\(536\) −4109.98 2802.13i −0.331201 0.225809i
\(537\) 4499.85 + 19715.1i 0.361607 + 1.58430i
\(538\) −548.682 2403.93i −0.0439690 0.192641i
\(539\) 1768.09 + 1205.46i 0.141293 + 0.0963322i
\(540\) −347.526 4637.41i −0.0276947 0.369560i
\(541\) −1924.46 593.619i −0.152938 0.0471750i 0.217341 0.976096i \(-0.430262\pi\)
−0.370279 + 0.928921i \(0.620738\pi\)
\(542\) 989.794 149.187i 0.0784415 0.0118232i
\(543\) −11151.7 13983.8i −0.881336 1.10516i
\(544\) −9843.02 + 6710.86i −0.775764 + 0.528907i
\(545\) 2186.94 + 2029.18i 0.171886 + 0.159487i
\(546\) −74.2240 189.120i −0.00581775 0.0148234i
\(547\) −7746.40 + 2389.45i −0.605507 + 0.186774i −0.582324 0.812957i \(-0.697856\pi\)
−0.0231833 + 0.999731i \(0.507380\pi\)
\(548\) 1190.54 573.334i 0.0928054 0.0446927i
\(549\) −1764.19 + 4495.09i −0.137147 + 0.349446i
\(550\) −11.0233 + 147.096i −0.000854612 + 0.0114040i
\(551\) −4381.93 + 5494.77i −0.338796 + 0.424837i
\(552\) 339.244 587.588i 0.0261579 0.0453069i
\(553\) −1657.87 2871.51i −0.127486 0.220812i
\(554\) 3363.32 + 506.938i 0.257931 + 0.0388768i
\(555\) 14102.8 + 6791.54i 1.07861 + 0.519432i
\(556\) −12798.8 + 11875.5i −0.976239 + 0.905817i
\(557\) 1033.33 4527.32i 0.0786063 0.344397i −0.920297 0.391221i \(-0.872053\pi\)
0.998903 + 0.0468242i \(0.0149100\pi\)
\(558\) −567.881 −0.0430830
\(559\) 3401.80 + 1735.61i 0.257390 + 0.131321i
\(560\) −2311.86 −0.174453
\(561\) −1240.47 + 5434.84i −0.0933557 + 0.409018i
\(562\) 871.240 808.393i 0.0653933 0.0606761i
\(563\) −8396.26 4043.43i −0.628526 0.302682i 0.0923705 0.995725i \(-0.470556\pi\)
−0.720897 + 0.693042i \(0.756270\pi\)
\(564\) −28929.5 4360.42i −2.15984 0.325544i
\(565\) −5195.65 8999.13i −0.386872 0.670082i
\(566\) 550.493 953.482i 0.0408816 0.0708089i
\(567\) 2486.27 3117.69i 0.184151 0.230918i
\(568\) −9.45396 + 126.154i −0.000698379 + 0.00931922i
\(569\) −7046.16 + 17953.3i −0.519140 + 1.32275i 0.395496 + 0.918468i \(0.370573\pi\)
−0.914636 + 0.404279i \(0.867523\pi\)
\(570\) −2325.78 + 1120.04i −0.170906 + 0.0823040i
\(571\) −14406.0 + 4443.65i −1.05582 + 0.325676i −0.773599 0.633675i \(-0.781546\pi\)
−0.282216 + 0.959351i \(0.591069\pi\)
\(572\) 253.455 + 645.792i 0.0185271 + 0.0472062i
\(573\) 11538.3 + 10705.9i 0.841217 + 0.780536i
\(574\) −457.947 + 312.223i −0.0333002 + 0.0227037i
\(575\) −346.985 435.105i −0.0251657 0.0315568i
\(576\) 6950.37 1047.60i 0.502775 0.0757812i
\(577\) 16026.8 + 4943.63i 1.15634 + 0.356683i 0.812849 0.582475i \(-0.197915\pi\)
0.343488 + 0.939157i \(0.388392\pi\)
\(578\) −428.278 5714.97i −0.0308201 0.411265i
\(579\) −2007.96 1369.00i −0.144124 0.0982621i
\(580\) −1290.02 5651.93i −0.0923534 0.404627i
\(581\) 264.299 + 1157.97i 0.0188726 + 0.0826862i
\(582\) −1770.69 1207.24i −0.126112 0.0859820i
\(583\) −236.256 3152.62i −0.0167834 0.223959i
\(584\) 8860.67 + 2733.16i 0.627838 + 0.193662i
\(585\) −2047.07 + 308.546i −0.144677 + 0.0218065i
\(586\) 2074.82 + 2601.74i 0.146263 + 0.183408i
\(587\) −14926.9 + 10177.0i −1.04957 + 0.715584i −0.959887 0.280386i \(-0.909538\pi\)
−0.0896823 + 0.995970i \(0.528585\pi\)
\(588\) 12161.5 + 11284.3i 0.852949 + 0.791421i
\(589\) 2029.57 + 5171.26i 0.141981 + 0.361762i
\(590\) −388.157 + 119.730i −0.0270850 + 0.00835462i
\(591\) −3408.21 + 1641.31i −0.237217 + 0.114238i
\(592\) 5530.55 14091.6i 0.383960 0.978314i
\(593\) 1272.32 16977.9i 0.0881076 1.17571i −0.761452 0.648221i \(-0.775513\pi\)
0.849560 0.527493i \(-0.176868\pi\)
\(594\) 140.303 175.935i 0.00969144 0.0121527i
\(595\) 2540.19 4399.74i 0.175021 0.303146i
\(596\) 20.6587 + 35.7819i 0.00141982 + 0.00245920i
\(597\) −1619.48 244.098i −0.111023 0.0167341i
\(598\) 79.3463 + 38.2112i 0.00542594 + 0.00261299i
\(599\) −12444.5 + 11546.8i −0.848861 + 0.787628i −0.978998 0.203868i \(-0.934649\pi\)
0.130137 + 0.991496i \(0.458458\pi\)
\(600\) −517.510 + 2267.36i −0.0352121 + 0.154274i
\(601\) 20672.7 1.40309 0.701545 0.712625i \(-0.252494\pi\)
0.701545 + 0.712625i \(0.252494\pi\)
\(602\) −637.841 14.6593i −0.0431835 0.000992476i
\(603\) −10496.9 −0.708903
\(604\) 4768.16 20890.7i 0.321215 1.40733i
\(605\) 8509.22 7895.40i 0.571816 0.530568i
\(606\) 5019.41 + 2417.22i 0.336468 + 0.162034i
\(607\) −16265.4 2451.62i −1.08763 0.163934i −0.419338 0.907830i \(-0.637738\pi\)
−0.668296 + 0.743896i \(0.732976\pi\)
\(608\) 3966.74 + 6870.60i 0.264593 + 0.458289i
\(609\) 1220.77 2114.44i 0.0812284 0.140692i
\(610\) 817.454 1025.06i 0.0542586 0.0680382i
\(611\) 577.118 7701.11i 0.0382123 0.509907i
\(612\) −6089.34 + 15515.4i −0.402201 + 1.02479i
\(613\) −13447.1 + 6475.76i −0.886006 + 0.426678i −0.820815 0.571195i \(-0.806480\pi\)
−0.0651914 + 0.997873i \(0.520766\pi\)
\(614\) −3429.39 + 1057.83i −0.225406 + 0.0695284i
\(615\) 5350.20 + 13632.1i 0.350798 + 0.893819i
\(616\) −172.779 160.316i −0.0113011 0.0104859i
\(617\) −4614.05 + 3145.81i −0.301061 + 0.205260i −0.704423 0.709781i \(-0.748794\pi\)
0.403362 + 0.915041i \(0.367842\pi\)
\(618\) 3654.95 + 4583.16i 0.237902 + 0.298320i
\(619\) −202.700 + 30.5521i −0.0131619 + 0.00198383i −0.155620 0.987817i \(-0.549738\pi\)
0.142458 + 0.989801i \(0.454499\pi\)
\(620\) −4378.82 1350.69i −0.283641 0.0874917i
\(621\) 63.4451 + 846.616i 0.00409978 + 0.0547078i
\(622\) 339.642 + 231.564i 0.0218946 + 0.0149275i
\(623\) −1134.97 4972.65i −0.0729884 0.319783i
\(624\) 1155.19 + 5061.23i 0.0741101 + 0.324698i
\(625\) −6822.99 4651.84i −0.436671 0.297718i
\(626\) 376.197 + 5020.00i 0.0240189 + 0.320510i
\(627\) 3547.48 + 1094.25i 0.225953 + 0.0696973i
\(628\) 14909.1 2247.18i 0.947352 0.142790i
\(629\) 20741.3 + 26008.7i 1.31480 + 1.64871i
\(630\) 285.756 194.825i 0.0180711 0.0123207i
\(631\) −4778.13 4433.46i −0.301449 0.279704i 0.514915 0.857241i \(-0.327823\pi\)
−0.816364 + 0.577537i \(0.804014\pi\)
\(632\) −2194.40 5591.24i −0.138115 0.351911i
\(633\) −25097.7 + 7741.62i −1.57590 + 0.486101i
\(634\) −2734.70 + 1316.96i −0.171307 + 0.0824972i
\(635\) −1811.73 + 4616.21i −0.113222 + 0.288486i
\(636\) 1831.63 24441.4i 0.114196 1.52384i
\(637\) −2730.45 + 3423.87i −0.169834 + 0.212965i
\(638\) 140.262 242.942i 0.00870382 0.0150755i
\(639\) 133.480 + 231.195i 0.00826354 + 0.0143129i
\(640\) −8575.87 1292.60i −0.529673 0.0798354i
\(641\) −8775.59 4226.10i −0.540741 0.260407i 0.143516 0.989648i \(-0.454159\pi\)
−0.684257 + 0.729241i \(0.739873\pi\)
\(642\) 300.713 279.021i 0.0184863 0.0171528i
\(643\) −3367.07 + 14752.1i −0.206507 + 0.904767i 0.760363 + 0.649498i \(0.225021\pi\)
−0.966870 + 0.255269i \(0.917836\pi\)
\(644\) 437.266 0.0267557
\(645\) −4127.73 + 16344.2i −0.251983 + 0.997753i
\(646\) −5486.19 −0.334135
\(647\) 5014.08 21968.1i 0.304674 1.33486i −0.558310 0.829632i \(-0.688550\pi\)
0.862984 0.505231i \(-0.168593\pi\)
\(648\) 5295.31 4913.33i 0.321018 0.297861i
\(649\) 526.319 + 253.462i 0.0318333 + 0.0153301i
\(650\) −298.500 44.9917i −0.0180125 0.00271495i
\(651\) −964.947 1671.34i −0.0580941 0.100622i
\(652\) −3667.34 + 6352.02i −0.220282 + 0.381540i
\(653\) 9869.86 12376.4i 0.591481 0.741694i −0.392542 0.919734i \(-0.628404\pi\)
0.984023 + 0.178040i \(0.0569756\pi\)
\(654\) −83.6371 + 1116.06i −0.00500072 + 0.0667299i
\(655\) 5143.57 13105.6i 0.306833 0.781798i
\(656\) 12760.2 6144.98i 0.759453 0.365733i
\(657\) 18698.0 5767.58i 1.11032 0.342488i
\(658\) 471.354 + 1200.99i 0.0279260 + 0.0711542i
\(659\) −9479.66 8795.84i −0.560357 0.519935i 0.348353 0.937363i \(-0.386741\pi\)
−0.908710 + 0.417428i \(0.862932\pi\)
\(660\) −2530.17 + 1725.04i −0.149222 + 0.101738i
\(661\) 6237.74 + 7821.88i 0.367050 + 0.460266i 0.930719 0.365735i \(-0.119182\pi\)
−0.563669 + 0.826000i \(0.690611\pi\)
\(662\) −326.895 + 49.2714i −0.0191920 + 0.00289273i
\(663\) −10901.4 3362.64i −0.638576 0.196975i
\(664\) 160.790 + 2145.59i 0.00939736 + 0.125399i
\(665\) −2795.40 1905.87i −0.163009 0.111138i
\(666\) 503.930 + 2207.86i 0.0293197 + 0.128458i
\(667\) 235.508 + 1031.83i 0.0136715 + 0.0598989i
\(668\) 21774.7 + 14845.7i 1.26121 + 0.859879i
\(669\) −1949.03 26008.0i −0.112637 1.50303i
\(670\) 2723.41 + 840.061i 0.157037 + 0.0484394i
\(671\) −1864.46 + 281.022i −0.107268 + 0.0161680i
\(672\) −1718.39 2154.79i −0.0986432 0.123695i
\(673\) 8850.02 6033.84i 0.506899 0.345598i −0.282713 0.959205i \(-0.591234\pi\)
0.789612 + 0.613607i \(0.210282\pi\)
\(674\) 2637.29 + 2447.04i 0.150719 + 0.139847i
\(675\) −1063.18 2708.94i −0.0606249 0.154470i
\(676\) 14891.8 4593.50i 0.847279 0.261351i
\(677\) 17111.1 8240.27i 0.971392 0.467798i 0.120256 0.992743i \(-0.461628\pi\)
0.851136 + 0.524945i \(0.175914\pi\)
\(678\) 1424.20 3628.80i 0.0806726 0.205550i
\(679\) 209.899 2800.91i 0.0118633 0.158305i
\(680\) 5738.04 7195.28i 0.323594 0.405774i
\(681\) −3871.50 + 6705.64i −0.217851 + 0.377328i
\(682\) −110.869 192.031i −0.00622492 0.0107819i
\(683\) −27952.3 4213.14i −1.56598 0.236034i −0.691967 0.721930i \(-0.743255\pi\)
−0.874017 + 0.485896i \(0.838494\pi\)
\(684\) 10000.5 + 4816.01i 0.559035 + 0.269217i
\(685\) −1128.65 + 1047.24i −0.0629542 + 0.0584130i
\(686\) 335.499 1469.92i 0.0186726 0.0818100i
\(687\) −32946.8 −1.82969
\(688\) 16060.7 + 2799.58i 0.889984 + 0.155135i
\(689\) 6469.83 0.357737
\(690\) −86.5026 + 378.993i −0.00477260 + 0.0209101i
\(691\) 3299.17 3061.19i 0.181630 0.168528i −0.584118 0.811669i \(-0.698559\pi\)
0.765748 + 0.643141i \(0.222369\pi\)
\(692\) 1977.81 + 952.463i 0.108649 + 0.0523226i
\(693\) −491.823 74.1303i −0.0269593 0.00406346i
\(694\) 1548.91 + 2682.79i 0.0847201 + 0.146740i
\(695\) 10171.7 17618.0i 0.555160 0.961565i
\(696\) 2757.60 3457.92i 0.150182 0.188322i
\(697\) −2325.83 + 31036.1i −0.126395 + 1.68662i
\(698\) 799.967 2038.28i 0.0433799 0.110530i
\(699\) 21225.0 10221.4i 1.14850 0.553090i
\(700\) −1432.24 + 441.787i −0.0773335 + 0.0238542i
\(701\) −4006.50 10208.4i −0.215868 0.550023i 0.781389 0.624045i \(-0.214512\pi\)
−0.997257 + 0.0740219i \(0.976417\pi\)
\(702\) 337.581 + 313.230i 0.0181498 + 0.0168406i
\(703\) 18304.3 12479.7i 0.982020 0.669530i
\(704\) 1711.19 + 2145.76i 0.0916091 + 0.114874i
\(705\) 33708.0 5080.66i 1.80073 0.271417i
\(706\) −5768.71 1779.41i −0.307519 0.0948570i
\(707\) 545.653 + 7281.24i 0.0290260 + 0.387326i
\(708\) 3741.97 + 2551.23i 0.198632 + 0.135425i
\(709\) 3323.04 + 14559.2i 0.176022 + 0.771201i 0.983442 + 0.181224i \(0.0580060\pi\)
−0.807420 + 0.589977i \(0.799137\pi\)
\(710\) −16.1289 70.6654i −0.000852545 0.00373525i
\(711\) −10472.5 7140.06i −0.552392 0.376615i
\(712\) −690.476 9213.76i −0.0363436 0.484972i
\(713\) 799.407 + 246.584i 0.0419888 + 0.0129518i
\(714\) 1884.61 284.059i 0.0987810 0.0148888i
\(715\) −503.991 631.985i −0.0263611 0.0330558i
\(716\) −19506.2 + 13299.1i −1.01813 + 0.694151i
\(717\) 11889.1 + 11031.4i 0.619254 + 0.574584i
\(718\) 567.248 + 1445.32i 0.0294840 + 0.0751239i
\(719\) −14905.5 + 4597.75i −0.773134 + 0.238480i −0.656126 0.754651i \(-0.727806\pi\)
−0.117007 + 0.993131i \(0.537330\pi\)
\(720\) −7962.28 + 3834.43i −0.412134 + 0.198473i
\(721\) −2806.91 + 7151.89i −0.144986 + 0.369418i
\(722\) −11.4571 + 152.884i −0.000590565 + 0.00788055i
\(723\) −9067.12 + 11369.8i −0.466403 + 0.584851i
\(724\) 10440.5 18083.5i 0.535938 0.928272i
\(725\) −1813.89 3141.75i −0.0929188 0.160940i
\(726\) 4306.05 + 649.033i 0.220127 + 0.0331789i
\(727\) −34080.4 16412.2i −1.73861 0.837272i −0.983320 0.181884i \(-0.941780\pi\)
−0.755293 0.655388i \(-0.772505\pi\)
\(728\) 353.588 328.081i 0.0180011 0.0167026i
\(729\) 738.159 3234.09i 0.0375024 0.164309i
\(730\) −5312.74 −0.269361
\(731\) −22974.9 + 27489.4i −1.16246 + 1.39088i
\(732\) −14617.9 −0.738106
\(733\) −4967.98 + 21766.1i −0.250336 + 1.09679i 0.680899 + 0.732377i \(0.261589\pi\)
−0.931236 + 0.364418i \(0.881268\pi\)
\(734\) −621.482 + 576.651i −0.0312525 + 0.0289981i
\(735\) −17416.3 8387.24i −0.874026 0.420909i
\(736\) 1181.37 + 178.062i 0.0591654 + 0.00891775i
\(737\) −2049.35 3549.57i −0.102427 0.177409i
\(738\) −1059.37 + 1834.88i −0.0528399 + 0.0915214i
\(739\) 12906.9 16184.7i 0.642473 0.805636i −0.348837 0.937183i \(-0.613423\pi\)
0.991310 + 0.131548i \(0.0419947\pi\)
\(740\) −1365.62 + 18223.0i −0.0678396 + 0.905256i
\(741\) −2775.62 + 7072.15i −0.137604 + 0.350610i
\(742\) −973.827 + 468.971i −0.0481810 + 0.0232028i
\(743\) 23498.6 7248.37i 1.16027 0.357896i 0.345917 0.938265i \(-0.387568\pi\)
0.814354 + 0.580369i \(0.197092\pi\)
\(744\) −1277.23 3254.33i −0.0629376 0.160362i
\(745\) −35.2906 32.7449i −0.00173550 0.00161031i
\(746\) −461.677 + 314.766i −0.0226584 + 0.0154483i
\(747\) 2830.88 + 3549.81i 0.138657 + 0.173870i
\(748\) −6435.42 + 969.983i −0.314575 + 0.0474146i
\(749\) 513.760 + 158.474i 0.0250633 + 0.00773100i
\(750\) −384.565 5131.66i −0.0187231 0.249842i
\(751\) 9346.13 + 6372.08i 0.454121 + 0.309615i 0.768692 0.639620i \(-0.220908\pi\)
−0.314570 + 0.949234i \(0.601860\pi\)
\(752\) −7335.96 32141.0i −0.355738 1.55859i
\(753\) 6777.61 + 29694.7i 0.328008 + 1.43710i
\(754\) 474.331 + 323.394i 0.0229100 + 0.0156198i
\(755\) 1865.81 + 24897.5i 0.0899387 + 1.20015i
\(756\) 2184.92 + 673.959i 0.105112 + 0.0324228i
\(757\) −12374.8 + 1865.20i