Properties

Label 43.4.g.a.10.6
Level 43
Weight 4
Character 43.10
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 10.6
Character \(\chi\) \(=\) 43.10
Dual form 43.4.g.a.13.6

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\)

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 0.991027 0.133664i \(-0.0426744\pi\)
−0.950879 + 0.309563i \(0.899817\pi\)
\(3\) 4.85972 + 4.50917i 0.935254 + 0.867789i 0.991431 0.130632i \(-0.0417005\pi\)
−0.0561765 + 0.998421i \(0.517891\pi\)
\(4\) 6.97312 3.35808i 0.871640 0.419760i
\(5\) −8.91725 + 1.34406i −0.797584 + 0.120216i −0.535176 0.844741i \(-0.679755\pi\)
−0.262408 + 0.964957i \(0.584517\pi\)
\(6\) −1.69154 + 2.92983i −0.115094 + 0.199349i
\(7\) 2.21697 + 3.83991i 0.119705 + 0.207335i 0.919651 0.392737i \(-0.128472\pi\)
−0.799946 + 0.600072i \(0.795138\pi\)
\(8\) 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 0.513816 0.857901i \(-0.328232\pi\)
−0.350375 + 0.936610i \(0.613946\pi\)
\(12\) 49.0296 + 15.1236i 1.17947 + 0.363818i
\(13\) 4.94815 12.6077i 0.105567 0.268980i −0.868324 0.495998i \(-0.834802\pi\)
0.973891 + 0.227018i \(0.0728975\pi\)
\(14\) −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 −0.833248 0.552900i \(-0.813521\pi\)
−0.959199 + 0.282732i \(0.908759\pi\)
\(18\) −8.26523 + 2.54949i −0.108230 + 0.0333844i
\(19\) 6.32317 84.3768i 0.0763492 1.01881i −0.819102 0.573648i \(-0.805528\pi\)
0.895451 0.445161i \(-0.146853\pi\)
\(20\) −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 −0.514657 0.857396i \(-0.672081\pi\)
0.610102 + 0.792323i \(0.291128\pi\)
\(24\) −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 −0.460739 0.887536i \(-0.652416\pi\)
0.850623 + 0.525777i \(0.176225\pi\)
\(30\) 11.1460 28.3995i 0.0678324 0.172834i
\(31\) 62.7379 + 19.3521i 0.363486 + 0.112121i 0.471118 0.882070i \(-0.343851\pi\)
−0.107632 + 0.994191i \(0.534327\pi\)
\(32\) 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 0.413613 + 0.910453i \(0.364267\pi\)
−0.995282 + 0.0970272i \(0.969067\pi\)
\(38\) 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 0.966142 + 0.258012i \(0.0830674\pi\)
−0.758516 + 0.651654i \(0.774075\pi\)
\(42\) −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 −0.999355 0.0359132i \(-0.988566\pi\)
−0.595009 + 0.803719i \(0.702852\pi\)
\(48\) 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 0.957239 + 0.289299i \(0.0934221\pi\)
−0.504933 + 0.863159i \(0.668483\pi\)
\(54\) 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 −0.717397 0.696665i \(-0.754666\pi\)
0.838834 + 0.544388i \(0.183238\pi\)
\(60\) −457.536 68.9625i −0.984462 0.148384i
\(61\) −272.242 + 83.9754i −0.571426 + 0.176261i −0.566984 0.823729i \(-0.691890\pi\)
−0.00444139 + 0.999990i \(0.501414\pi\)
\(62\) −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 0.780842 + 0.624729i \(0.214791\pi\)
−0.865231 + 0.501373i \(0.832828\pi\)
\(68\) −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 0.552395 0.833582i \(-0.313714\pi\)
−0.574147 + 0.818752i \(0.694666\pi\)
\(72\) −99.7974 + 92.5984i −0.163350 + 0.151567i
\(73\) 421.768 1074.65i 0.676222 1.72299i −0.0145291 0.999894i \(-0.504625\pi\)
0.690752 0.723092i \(-0.257280\pi\)
\(74\) −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 0.999280 + 0.0379425i \(0.0120804\pi\)
−0.466781 + 0.884373i \(0.654586\pi\)
\(80\) −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 0.539573 0.841939i \(-0.318586\pi\)
−0.799262 + 0.600983i \(0.794776\pi\)
\(84\) 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 0.997679 0.0680992i \(-0.0216934\pi\)
0.00664784 + 0.999978i \(0.497884\pi\)
\(90\) 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 0.708052 0.706160i \(-0.249574\pi\)
−0.110635 + 0.993861i \(0.535288\pi\)
\(98\) 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 −0.340807 0.940133i \(-0.610700\pi\)
−0.999656 + 0.0262209i \(0.991653\pi\)
\(102\) 268.002 336.064i 0.260159 0.326228i
\(103\) −1713.41 258.256i −1.63910 0.247055i −0.736158 0.676809i \(-0.763362\pi\)
−0.902946 + 0.429754i \(0.858600\pi\)
\(104\) 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 −0.961275 0.275591i \(-0.911127\pi\)
0.985653 + 0.168783i \(0.0539837\pi\)
\(108\) 114.750 502.753i 0.102239 0.447939i
\(109\) −273.337 + 186.358i −0.240192 + 0.163760i −0.677433 0.735584i \(-0.736908\pi\)
0.437242 + 0.899344i \(0.355955\pi\)
\(110\) 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 −0.386982 0.922087i \(-0.626482\pi\)
0.985080 + 0.172096i \(0.0550538\pi\)
\(114\) 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 0.999517 0.0310829i \(-0.00989558\pi\)
−0.914020 + 0.405669i \(0.867038\pi\)
\(128\) 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 −0.948232 0.317580i \(-0.897130\pi\)
0.716534 0.697552i \(-0.245727\pi\)
\(132\) 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 0.813915 0.580984i \(-0.197332\pi\)
−0.747531 + 0.664227i \(0.768761\pi\)
\(138\) 3.22140 + 42.9866i 0.00198713 + 0.0265164i
\(139\) −824.166 2099.94i −0.502912 1.28140i −0.926756 0.375664i \(-0.877415\pi\)
0.423844 0.905735i \(-0.360681\pi\)
\(140\) −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 −0.562107 0.827065i \(-0.690009\pi\)
0.564532 + 0.825411i \(0.309057\pi\)
\(150\) 32.8795 144.055i 0.0178974 0.0784134i
\(151\) −616.074 + 2699.20i −0.332023 + 1.45469i 0.483186 + 0.875518i \(0.339480\pi\)
−0.815208 + 0.579168i \(0.803378\pi\)
\(152\) 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 0.898526 0.438920i \(-0.144639\pi\)
−0.0803108 + 0.996770i \(0.525591\pi\)
\(158\) −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 −0.988026 0.154290i \(-0.950691\pi\)
0.953994 0.299825i \(-0.0969282\pi\)
\(164\) 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 0.688504 0.725233i \(-0.258268\pi\)
0.871682 + 0.490072i \(0.163030\pi\)
\(168\) −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 −0.986119 0.166041i \(-0.946901\pi\)
0.349263 0.937025i \(-0.386432\pi\)
\(180\) −737.587 924.904i −0.305425 0.382991i
\(181\) 201.618 + 2690.41i 0.0827966 + 1.10484i 0.871606 + 0.490206i \(0.163079\pi\)
−0.788810 + 0.614637i \(0.789302\pi\)
\(182\) 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 −0.857061 0.515215i \(-0.827712\pi\)
0.924277 0.381723i \(-0.124669\pi\)
\(192\) 2271.49 1548.68i 0.853807 0.582116i
\(193\) −81.5723 + 357.391i −0.0304233 + 0.133293i −0.987859 0.155354i \(-0.950348\pi\)
0.957436 + 0.288647i \(0.0932054\pi\)
\(194\) −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 −0.391781 0.920058i \(-0.628141\pi\)
0.194582 + 0.980886i \(0.437665\pi\)
\(198\) −56.6047 8.53179i −0.0203168 0.00306226i
\(199\) −154.030 + 193.148i −0.0548690 + 0.0688035i −0.808509 0.588484i \(-0.799725\pi\)
0.753640 + 0.657288i \(0.228296\pi\)
\(200\) −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 −0.913390 0.407085i \(-0.866545\pi\)
−0.251217 + 0.967931i \(0.580831\pi\)
\(212\) 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 0.999148 0.0412731i \(-0.0131414\pi\)
−0.262570 + 0.964913i \(0.584570\pi\)
\(224\) 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 0.127261 0.991869i \(-0.459381\pi\)
−0.453592 + 0.891210i \(0.649858\pi\)
\(228\) 1586.11 4041.33i 0.460712 1.17388i
\(229\) −3643.10 + 3380.30i −1.05128 + 0.975444i −0.999730 0.0232262i \(-0.992606\pi\)
−0.0515487 + 0.998670i \(0.516416\pi\)
\(230\) −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 0.222038 0.975038i \(-0.428729\pi\)
0.732715 + 0.680536i \(0.238253\pi\)
\(234\) −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 −0.916230 0.400652i \(-0.868784\pi\)
0.965711 0.259620i \(-0.0835973\pi\)
\(240\) −3303.02 + 1018.85i −0.888372 + 0.274026i
\(241\) −2169.13 326.943i −0.579775 0.0873870i −0.147394 0.989078i \(-0.547088\pi\)
−0.432381 + 0.901691i \(0.642326\pi\)
\(242\) 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 −0.995745 0.0921556i \(-0.970624\pi\)
0.418063 0.908418i \(-0.362709\pi\)
\(252\) −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 0.779093 0.626908i \(-0.215680\pi\)
0.929265 + 0.369414i \(0.120442\pi\)
\(264\) −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 0.856413 0.516291i \(-0.172688\pi\)
0.130313 + 0.991473i \(0.458402\pi\)
\(270\) −293.003 90.3794i −0.0660429 0.0203715i
\(271\) 716.617 1825.91i 0.160632 0.409285i −0.827785 0.561046i \(-0.810399\pi\)
0.988417 + 0.151761i \(0.0484944\pi\)
\(272\) −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 −0.635029 0.772488i \(-0.719012\pi\)
0.743070 0.669214i \(-0.233369\pi\)
\(278\) 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 −0.341574 0.939855i \(-0.610960\pi\)
0.750095 + 0.661330i \(0.230008\pi\)
\(282\) 144.156 1923.62i 0.0304409 0.406206i
\(283\) 2061.63 635.930i 0.433044 0.133576i −0.0705669 0.997507i \(-0.522481\pi\)
0.503611 + 0.863931i \(0.332005\pi\)
\(284\) −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 −0.999404 0.0345208i \(-0.989009\pi\)
0.188733 0.982028i \(-0.439562\pi\)
\(294\) 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 0.328512 + 0.944500i \(0.393453\pi\)
−0.982217 + 0.187750i \(0.939881\pi\)
\(308\) 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 0.901531 0.432715i \(-0.142444\pi\)
−0.955190 + 0.295995i \(0.904349\pi\)
\(312\) 649.769 + 312.912i 0.117904 + 0.0567794i
\(313\) −9426.47 2907.68i −1.70229 0.525086i −0.717159 0.696910i \(-0.754558\pi\)
−0.985128 + 0.171824i \(0.945034\pi\)
\(314\) −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 −0.993020 0.117948i \(-0.962368\pi\)
0.335958 + 0.941877i \(0.390940\pi\)
\(318\) −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 −0.949177 0.314743i \(-0.898082\pi\)
0.909876 + 0.414881i \(0.136177\pi\)
\(332\) −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 −0.996586 0.0825553i \(-0.973692\pi\)
0.426798 0.904347i \(-0.359641\pi\)
\(338\) −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 0.256306 0.966596i \(-0.417495\pi\)
−0.944739 + 0.327823i \(0.893685\pi\)
\(348\) 3839.74 1849.12i 0.591470 0.284837i
\(349\) 4242.89 639.512i 0.650763 0.0980868i 0.184640 0.982806i \(-0.440888\pi\)
0.466124 + 0.884719i \(0.345650\pi\)
\(350\) 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 0.517728 + 0.855545i \(0.326778\pi\)
−0.384433 + 0.923153i \(0.625603\pi\)
\(354\) 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 0.364263 0.931296i \(-0.381321\pi\)
−0.733839 + 0.679324i \(0.762273\pi\)
\(360\) 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 −0.656994 0.753896i \(-0.728172\pi\)
0.461755 + 0.887007i \(0.347220\pi\)
\(368\) 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 −0.733916 0.679240i \(-0.762310\pi\)
0.622495 + 0.782624i \(0.286119\pi\)
\(374\) 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 0.998899 0.0469032i \(-0.0149352\pi\)
−0.268003 + 0.963418i \(0.586364\pi\)
\(380\) 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 −0.967656 0.252272i \(-0.918822\pi\)
−0.406090 + 0.913833i \(0.633108\pi\)
\(384\) 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 0.996225 0.0868124i \(-0.0276681\pi\)
−0.935234 + 0.354030i \(0.884811\pi\)
\(390\) −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 0.973842 + 0.227224i \(0.0729650\pi\)
−0.559325 + 0.828948i \(0.688940\pi\)
\(398\) −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 −0.203728 0.979028i \(-0.565306\pi\)
0.961065 + 0.276321i \(0.0891152\pi\)
\(402\) −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 −0.979197 0.202912i \(-0.934960\pi\)
0.970266 + 0.242041i \(0.0778167\pi\)
\(410\) 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 0.526323 0.850285i \(-0.323570\pi\)
−0.336623 + 0.941640i \(0.609285\pi\)
\(420\) −749.535 1909.78i −0.0870799 0.221876i
\(421\) −546.507 7292.64i −0.0632664 0.844231i −0.935090 0.354411i \(-0.884681\pi\)
0.871823 0.489820i \(-0.162938\pi\)
\(422\) −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 0.989410 + 0.145150i \(0.0463663\pi\)
0.218682 + 0.975796i \(0.429824\pi\)
\(434\) −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 −0.797426 0.603417i \(-0.793806\pi\)
0.698585 0.715527i \(-0.253814\pi\)
\(440\) −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 −0.926889 0.375336i \(-0.877527\pi\)
0.934751 + 0.355304i \(0.115623\pi\)
\(444\) −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 0.889659 + 0.456625i \(0.150942\pi\)
−0.947779 + 0.318928i \(0.896677\pi\)
\(450\) 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 −0.426279 0.904592i \(-0.640176\pi\)
0.976768 + 0.214300i \(0.0687471\pi\)
\(458\) −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 −0.325328 0.945601i \(-0.605475\pi\)
−0.801475 + 0.598028i \(0.795951\pi\)
\(462\) −89.4439 43.0739i −0.00900716 0.00433762i
\(463\) −4249.76 10828.2i −0.426572 1.08689i −0.969060 0.246825i \(-0.920613\pi\)
0.542488 0.840064i \(-0.317482\pi\)
\(464\) −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 −0.819686 0.572813i \(-0.805852\pi\)
0.905914 + 0.423462i \(0.139185\pi\)
\(468\) 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 −0.472171 0.881507i \(-0.656529\pi\)
0.999493 0.0318419i \(-0.0101373\pi\)
\(480\) −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 −0.343699 0.939080i \(-0.611680\pi\)
0.910769 + 0.412916i \(0.135490\pi\)
\(488\) −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 0.212239 0.977218i \(-0.431924\pi\)
0.725847 + 0.687857i \(0.241448\pi\)
\(492\) −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 −0.307625 0.951508i \(-0.599534\pi\)
−0.574420 + 0.818561i \(0.694772\pi\)
\(500\) 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 −0.915322 0.402723i \(-0.868064\pi\)
0.944900 + 0.327360i \(0.106159\pi\)
\(504\) −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 0.925607 + 0.378485i \(0.123555\pi\)
−0.135026 + 0.990842i \(0.543112\pi\)
\(510\) −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 0.410532 0.911846i \(-0.365343\pi\)
0.661064 + 0.750329i \(0.270105\pi\)
\(522\) −359.218 + 622.184i −0.0301198 + 0.0521691i
\(523\) 4132.07 + 7156.96i 0.345474 + 0.598379i 0.985440 0.170025i \(-0.0543847\pi\)
−0.639966 + 0.768404i \(0.721051\pi\)
\(524\) −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 −0.370279 0.928921i \(-0.620738\pi\)
0.217341 + 0.976096i \(0.430262\pi\)
\(542\) 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 −0.0231833 0.999731i \(-0.507380\pi\)
−0.582324 + 0.812957i \(0.697856\pi\)
\(548\) 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 0.998903 0.0468242i \(-0.0149100\pi\)
−0.920297 + 0.391221i \(0.872053\pi\)
\(558\) −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 −0.720897 0.693042i \(-0.756270\pi\)
0.0923705 + 0.995725i \(0.470556\pi\)
\(564\) −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 −0.914636 0.404279i \(-0.867523\pi\)
0.395496 0.918468i \(-0.370573\pi\)
\(570\) −2325.78 1120.04i −0.170906 0.0823040i
\(571\) −14406.0 4443.65i −1.05582 0.325676i −0.282216 0.959351i \(-0.591069\pi\)
−0.773599 + 0.633675i \(0.781546\pi\)
\(572\) 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 0.343488 0.939157i \(-0.388392\pi\)
0.812849 + 0.582475i \(0.197915\pi\)
\(578\) −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 −0.0896823 0.995970i \(-0.528585\pi\)
−0.959887 + 0.280386i \(0.909538\pi\)
\(588\) 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 0.849560 + 0.527493i \(0.176868\pi\)
−0.761452 + 0.648221i \(0.775513\pi\)
\(594\) 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 0.130137 0.991496i \(-0.458458\pi\)
−0.978998 + 0.203868i \(0.934649\pi\)
\(600\) −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 −0.668296 0.743896i \(-0.732976\pi\)
−0.419338 + 0.907830i \(0.637738\pi\)
\(608\) 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 −0.0651914 0.997873i \(-0.520766\pi\)
−0.820815 + 0.571195i \(0.806480\pi\)
\(614\) −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 0.403362 0.915041i \(-0.367842\pi\)
−0.704423 + 0.709781i \(0.748794\pi\)
\(618\) 3654.95 4583.16i 0.237902 0.298320i
\(619\) −202.700 30.5521i −0.0131619 0.00198383i 0.142458 0.989801i \(-0.454499\pi\)
−0.155620 + 0.987817i \(0.549738\pi\)
\(620\) −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 −0.816364 0.577537i \(-0.804014\pi\)
0.514915 + 0.857241i \(0.327823\pi\)
\(632\) −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 −0.684257 0.729241i \(-0.739873\pi\)
0.143516 + 0.989648i \(0.454159\pi\)
\(642\) 300.713 + 279.021i 0.0184863 + 0.0171528i
\(643\) −3367.07 14752.1i −0.206507 0.904767i −0.966870 0.255269i \(-0.917836\pi\)
0.760363 0.649498i \(-0.225021\pi\)
\(644\) 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 0.862984 + 0.505231i \(0.168593\pi\)
−0.558310 + 0.829632i \(0.688550\pi\)
\(648\) 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 0.984023 0.178040i \(-0.0569756\pi\)
−0.392542 + 0.919734i \(0.628404\pi\)
\(654\) −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 −0.908710 0.417428i \(-0.862932\pi\)
0.348353 + 0.937363i \(0.386741\pi\)
\(660\) −2530.17 1725.04i −0.149222 0.101738i
\(661\) 6237.74 7821.88i 0.367050 0.460266i −0.563669 0.826000i \(-0.690611\pi\)
0.930719 + 0.365735i \(0.119182\pi\)
\(662\) −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 0.789612 0.613607i \(-0.210282\pi\)
−0.282713 + 0.959205i \(0.591234\pi\)
\(674\) 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 0.851136 0.524945i \(-0.175914\pi\)
0.120256 + 0.992743i \(0.461628\pi\)
\(678\) 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 −0.874017 0.485896i \(-0.838494\pi\)
−0.691967 + 0.721930i \(0.743255\pi\)
\(684\) 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 0.765748 0.643141i \(-0.222369\pi\)
−0.584118 + 0.811669i \(0.698559\pi\)
\(692\) 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 −0.997257 0.0740219i \(-0.976417\pi\)
0.781389 + 0.624045i \(0.214512\pi\)
\(702\) 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 −0.807420 0.589977i \(-0.799137\pi\)
0.983442 0.181224i \(-0.0580060\pi\)
\(710\) −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 −0.117007 0.993131i \(-0.537330\pi\)
−0.656126 + 0.754651i \(0.727806\pi\)
\(720\) −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 −0.755293 + 0.655388i \(0.772505\pi\)
−0.983320 + 0.181884i \(0.941780\pi\)
\(728\) 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 −0.931236 0.364418i \(-0.881268\pi\)
0.680899 0.732377i \(-0.261589\pi\)
\(734\) −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 0.991310 0.131548i \(-0.0419947\pi\)
−0.348837 + 0.937183i \(0.613423\pi\)
\(740\) −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 0.814354 0.580369i \(-0.197092\pi\)
0.345917 + 0.938265i \(0.387568\pi\)
\(744\) −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 −0.314570 0.949234i \(-0.601860\pi\)
0.768692 + 0.639620i \(0.220908\pi\)
\(752\) −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 −0.594146 0.0895531i −0.154916 0.987928i \(-0.549511\pi\)
−0.439230 + 0.898375i \(0.644749\pi\)