Properties

Label 43.5.h.a.5.5
Level 43
Weight 5
Character 43.5
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.5
Character \(\chi\) \(=\) 43.5
Dual form 43.5.h.a.26.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.69887 - 0.844242i) q^{2} +(-0.654121 + 2.12061i) q^{3} +(-1.44664 - 0.696665i) q^{4} +(5.40819 - 2.12256i) q^{5} +(4.20981 - 7.29161i) q^{6} +(-10.8272 + 6.25106i) q^{7} +(52.2229 + 41.6464i) q^{8} +(62.8562 + 42.8547i) q^{9} +O(q^{10})\) \(q+(-3.69887 - 0.844242i) q^{2} +(-0.654121 + 2.12061i) q^{3} +(-1.44664 - 0.696665i) q^{4} +(5.40819 - 2.12256i) q^{5} +(4.20981 - 7.29161i) q^{6} +(-10.8272 + 6.25106i) q^{7} +(52.2229 + 41.6464i) q^{8} +(62.8562 + 42.8547i) q^{9} +(-21.7961 + 3.28523i) q^{10} +(63.6004 - 30.6284i) q^{11} +(2.42363 - 2.61206i) q^{12} +(299.518 + 45.1450i) q^{13} +(45.3256 - 13.9811i) q^{14} +(0.963503 + 12.8571i) q^{15} +(-141.988 - 178.048i) q^{16} +(-118.216 + 301.209i) q^{17} +(-196.317 - 211.579i) q^{18} +(36.3637 + 53.3357i) q^{19} +(-9.30241 - 0.697119i) q^{20} +(-6.17379 - 27.0491i) q^{21} +(-261.107 + 59.5960i) q^{22} +(40.3512 - 538.450i) q^{23} +(-122.476 + 83.5026i) q^{24} +(-433.414 + 402.150i) q^{25} +(-1069.76 - 419.851i) q^{26} +(-272.532 + 217.337i) q^{27} +(20.0179 - 1.50013i) q^{28} +(-203.122 - 658.505i) q^{29} +(7.29060 - 48.3700i) q^{30} +(954.166 + 885.337i) q^{31} +(-88.8244 - 184.446i) q^{32} +(23.3484 + 154.906i) q^{33} +(691.558 - 1014.33i) q^{34} +(-45.2871 + 56.7882i) q^{35} +(-61.0750 - 105.785i) q^{36} +(1674.41 + 966.721i) q^{37} +(-89.4761 - 227.981i) q^{38} +(-291.656 + 605.629i) q^{39} +(370.828 + 114.385i) q^{40} +(21.8858 - 95.8880i) q^{41} +105.263i q^{42} +(1550.66 - 1007.10i) q^{43} -113.345 q^{44} +(430.900 + 98.3500i) q^{45} +(-603.836 + 1957.59i) q^{46} +(330.926 + 159.365i) q^{47} +(470.447 - 184.637i) q^{48} +(-1122.35 + 1943.96i) q^{49} +(1942.65 - 1121.59i) q^{50} +(-561.419 - 447.717i) q^{51} +(-401.843 - 273.972i) q^{52} +(-1219.59 + 183.823i) q^{53} +(1191.54 - 573.817i) q^{54} +(278.953 - 300.639i) q^{55} +(-825.760 - 124.463i) q^{56} +(-136.891 + 42.2251i) q^{57} +(195.383 + 2607.21i) q^{58} +(-1047.89 - 1314.02i) q^{59} +(7.56322 - 19.2708i) q^{60} +(-765.928 - 825.474i) q^{61} +(-2781.89 - 4080.29i) q^{62} +(-948.442 - 71.0759i) q^{63} +(983.633 + 4309.58i) q^{64} +(1715.67 - 391.590i) q^{65} +(44.4159 - 592.689i) q^{66} +(3414.78 - 2328.15i) q^{67} +(380.858 - 353.384i) q^{68} +(1115.45 + 437.781i) q^{69} +(215.454 - 171.819i) q^{70} +(-6214.42 + 465.706i) q^{71} +(1497.79 + 4855.73i) q^{72} +(-4.62105 + 30.6587i) q^{73} +(-5377.27 - 4989.38i) q^{74} +(-569.297 - 1182.16i) q^{75} +(-15.4480 - 102.491i) q^{76} +(-497.152 + 729.189i) q^{77} +(1590.09 - 1993.91i) q^{78} +(-1393.26 - 2413.20i) q^{79} +(-1145.82 - 661.537i) q^{80} +(1968.65 + 5016.03i) q^{81} +(-161.905 + 336.200i) q^{82} +(-906.563 - 279.638i) q^{83} +(-9.91294 + 43.4314i) q^{84} +1879.92i q^{85} +(-6585.93 + 2415.98i) q^{86} +1529.30 q^{87} +(4596.96 + 1049.23i) q^{88} +(2861.74 - 9277.53i) q^{89} +(-1510.81 - 727.567i) q^{90} +(-3525.13 + 1383.51i) q^{91} +(-433.493 + 750.832i) q^{92} +(-2501.59 + 1444.30i) q^{93} +(-1089.51 - 868.852i) q^{94} +(309.870 + 211.266i) q^{95} +(449.240 - 67.7120i) q^{96} +(-7741.52 + 3728.12i) q^{97} +(5792.59 - 6242.93i) q^{98} +(5310.25 + 800.392i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.69887 0.844242i −0.924716 0.211060i −0.266453 0.963848i \(-0.585852\pi\)
−0.658264 + 0.752788i \(0.728709\pi\)
\(3\) −0.654121 + 2.12061i −0.0726801 + 0.235623i −0.984623 0.174695i \(-0.944106\pi\)
0.911942 + 0.410318i \(0.134582\pi\)
\(4\) −1.44664 0.696665i −0.0904150 0.0435416i
\(5\) 5.40819 2.12256i 0.216327 0.0849023i −0.254703 0.967019i \(-0.581978\pi\)
0.471030 + 0.882117i \(0.343882\pi\)
\(6\) 4.20981 7.29161i 0.116939 0.202545i
\(7\) −10.8272 + 6.25106i −0.220962 + 0.127573i −0.606396 0.795163i \(-0.707385\pi\)
0.385433 + 0.922736i \(0.374052\pi\)
\(8\) 52.2229 + 41.6464i 0.815983 + 0.650725i
\(9\) 62.8562 + 42.8547i 0.776003 + 0.529070i
\(10\) −21.7961 + 3.28523i −0.217961 + 0.0328523i
\(11\) 63.6004 30.6284i 0.525623 0.253127i −0.152202 0.988349i \(-0.548637\pi\)
0.677826 + 0.735222i \(0.262922\pi\)
\(12\) 2.42363 2.61206i 0.0168308 0.0181393i
\(13\) 299.518 + 45.1450i 1.77229 + 0.267130i 0.952282 0.305218i \(-0.0987294\pi\)
0.820011 + 0.572348i \(0.193967\pi\)
\(14\) 45.3256 13.9811i 0.231253 0.0713322i
\(15\) 0.963503 + 12.8571i 0.00428224 + 0.0571425i
\(16\) −141.988 178.048i −0.554642 0.695499i
\(17\) −118.216 + 301.209i −0.409052 + 1.04225i 0.566809 + 0.823850i \(0.308178\pi\)
−0.975860 + 0.218397i \(0.929917\pi\)
\(18\) −196.317 211.579i −0.605917 0.653023i
\(19\) 36.3637 + 53.3357i 0.100730 + 0.147744i 0.873295 0.487192i \(-0.161979\pi\)
−0.772565 + 0.634936i \(0.781026\pi\)
\(20\) −9.30241 0.697119i −0.0232560 0.00174280i
\(21\) −6.17379 27.0491i −0.0139995 0.0613359i
\(22\) −261.107 + 59.5960i −0.539478 + 0.123132i
\(23\) 40.3512 538.450i 0.0762783 1.01786i −0.819418 0.573197i \(-0.805703\pi\)
0.895696 0.444667i \(-0.146678\pi\)
\(24\) −122.476 + 83.5026i −0.212632 + 0.144970i
\(25\) −433.414 + 402.150i −0.693463 + 0.643439i
\(26\) −1069.76 419.851i −1.58249 0.621081i
\(27\) −272.532 + 217.337i −0.373844 + 0.298130i
\(28\) 20.0179 1.50013i 0.0255330 0.00191344i
\(29\) −203.122 658.505i −0.241524 0.783003i −0.992454 0.122620i \(-0.960870\pi\)
0.750929 0.660383i \(-0.229606\pi\)
\(30\) 7.29060 48.3700i 0.00810066 0.0537444i
\(31\) 954.166 + 885.337i 0.992889 + 0.921266i 0.996896 0.0787258i \(-0.0250852\pi\)
−0.00400756 + 0.999992i \(0.501276\pi\)
\(32\) −88.8244 184.446i −0.0867426 0.180123i
\(33\) 23.3484 + 154.906i 0.0214402 + 0.142246i
\(34\) 691.558 1014.33i 0.598234 0.877448i
\(35\) −45.2871 + 56.7882i −0.0369690 + 0.0463577i
\(36\) −61.0750 105.785i −0.0471258 0.0816242i
\(37\) 1674.41 + 966.721i 1.22309 + 0.706152i 0.965576 0.260123i \(-0.0837631\pi\)
0.257515 + 0.966274i \(0.417096\pi\)
\(38\) −89.4761 227.981i −0.0619641 0.157882i
\(39\) −291.656 + 605.629i −0.191753 + 0.398178i
\(40\) 370.828 + 114.385i 0.231768 + 0.0714908i
\(41\) 21.8858 95.8880i 0.0130195 0.0570422i −0.968001 0.250947i \(-0.919258\pi\)
0.981020 + 0.193905i \(0.0621152\pi\)
\(42\) 105.263i 0.0596731i
\(43\) 1550.66 1007.10i 0.838650 0.544670i
\(44\) −113.345 −0.0585458
\(45\) 430.900 + 98.3500i 0.212790 + 0.0485679i
\(46\) −603.836 + 1957.59i −0.285367 + 0.925136i
\(47\) 330.926 + 159.365i 0.149808 + 0.0721437i 0.507286 0.861778i \(-0.330649\pi\)
−0.357478 + 0.933922i \(0.616363\pi\)
\(48\) 470.447 184.637i 0.204187 0.0801375i
\(49\) −1122.35 + 1943.96i −0.467450 + 0.809648i
\(50\) 1942.65 1121.59i 0.777061 0.448636i
\(51\) −561.419 447.717i −0.215848 0.172133i
\(52\) −401.843 273.972i −0.148611 0.101321i
\(53\) −1219.59 + 183.823i −0.434172 + 0.0654409i −0.362492 0.931987i \(-0.618074\pi\)
−0.0716797 + 0.997428i \(0.522836\pi\)
\(54\) 1191.54 573.817i 0.408623 0.196782i
\(55\) 278.953 300.639i 0.0922157 0.0993849i
\(56\) −825.760 124.463i −0.263316 0.0396886i
\(57\) −136.891 + 42.2251i −0.0421331 + 0.0129963i
\(58\) 195.383 + 2607.21i 0.0580806 + 0.775032i
\(59\) −1047.89 1314.02i −0.301032 0.377482i 0.608192 0.793790i \(-0.291895\pi\)
−0.909224 + 0.416308i \(0.863324\pi\)
\(60\) 7.56322 19.2708i 0.00210090 0.00535299i
\(61\) −765.928 825.474i −0.205839 0.221842i 0.621692 0.783262i \(-0.286446\pi\)
−0.827531 + 0.561420i \(0.810255\pi\)
\(62\) −2781.89 4080.29i −0.723698 1.06147i
\(63\) −948.442 71.0759i −0.238962 0.0179078i
\(64\) 983.633 + 4309.58i 0.240145 + 1.05214i
\(65\) 1715.67 391.590i 0.406076 0.0926841i
\(66\) 44.4159 592.689i 0.0101965 0.136063i
\(67\) 3414.78 2328.15i 0.760699 0.518635i −0.119735 0.992806i \(-0.538204\pi\)
0.880433 + 0.474170i \(0.157252\pi\)
\(68\) 380.858 353.384i 0.0823655 0.0764240i
\(69\) 1115.45 + 437.781i 0.234288 + 0.0919514i
\(70\) 215.454 171.819i 0.0439701 0.0350650i
\(71\) −6214.42 + 465.706i −1.23278 + 0.0923838i −0.675132 0.737697i \(-0.735913\pi\)
−0.557643 + 0.830081i \(0.688294\pi\)
\(72\) 1497.79 + 4855.73i 0.288926 + 0.936677i
\(73\) −4.62105 + 30.6587i −0.000867151 + 0.00575317i −0.989260 0.146165i \(-0.953307\pi\)
0.988393 + 0.151918i \(0.0485450\pi\)
\(74\) −5377.27 4989.38i −0.981971 0.911136i
\(75\) −569.297 1182.16i −0.101208 0.210161i
\(76\) −15.4480 102.491i −0.00267452 0.0177443i
\(77\) −497.152 + 729.189i −0.0838510 + 0.122987i
\(78\) 1590.09 1993.91i 0.261356 0.327731i
\(79\) −1393.26 2413.20i −0.223243 0.386668i 0.732548 0.680716i \(-0.238331\pi\)
−0.955791 + 0.294047i \(0.904998\pi\)
\(80\) −1145.82 661.537i −0.179034 0.103365i
\(81\) 1968.65 + 5016.03i 0.300053 + 0.764522i
\(82\) −161.905 + 336.200i −0.0240787 + 0.0500000i
\(83\) −906.563 279.638i −0.131596 0.0405919i 0.228258 0.973601i \(-0.426697\pi\)
−0.359853 + 0.933009i \(0.617173\pi\)
\(84\) −9.91294 + 43.4314i −0.00140490 + 0.00615525i
\(85\) 1879.92i 0.260196i
\(86\) −6585.93 + 2415.98i −0.890472 + 0.326660i
\(87\) 1529.30 0.202048
\(88\) 4596.96 + 1049.23i 0.593616 + 0.135489i
\(89\) 2861.74 9277.53i 0.361285 1.17126i −0.574446 0.818543i \(-0.694782\pi\)
0.935731 0.352715i \(-0.114741\pi\)
\(90\) −1510.81 727.567i −0.186520 0.0898231i
\(91\) −3525.13 + 1383.51i −0.425689 + 0.167071i
\(92\) −433.493 + 750.832i −0.0512161 + 0.0887089i
\(93\) −2501.59 + 1444.30i −0.289235 + 0.166990i
\(94\) −1089.51 868.852i −0.123303 0.0983309i
\(95\) 309.870 + 211.266i 0.0343346 + 0.0234089i
\(96\) 449.240 67.7120i 0.0487456 0.00734722i
\(97\) −7741.52 + 3728.12i −0.822778 + 0.396229i −0.797402 0.603449i \(-0.793793\pi\)
−0.0253762 + 0.999678i \(0.508078\pi\)
\(98\) 5792.59 6242.93i 0.603144 0.650034i
\(99\) 5310.25 + 800.392i 0.541807 + 0.0816643i
\(100\) 907.158 279.821i 0.0907158 0.0279821i
\(101\) 434.926 + 5803.68i 0.0426356 + 0.568933i 0.977087 + 0.212841i \(0.0682717\pi\)
−0.934451 + 0.356091i \(0.884109\pi\)
\(102\) 1698.63 + 2130.02i 0.163267 + 0.204731i
\(103\) 2965.23 7555.29i 0.279502 0.712159i −0.720327 0.693635i \(-0.756008\pi\)
0.999828 0.0185239i \(-0.00589668\pi\)
\(104\) 13761.6 + 14831.4i 1.27233 + 1.37125i
\(105\) −90.8023 133.183i −0.00823604 0.0120800i
\(106\) 4666.29 + 349.690i 0.415298 + 0.0311223i
\(107\) −1428.30 6257.80i −0.124753 0.546581i −0.998217 0.0596909i \(-0.980988\pi\)
0.873463 0.486890i \(-0.161869\pi\)
\(108\) 545.667 124.545i 0.0467821 0.0106777i
\(109\) −181.259 + 2418.74i −0.0152562 + 0.203580i 0.984367 + 0.176130i \(0.0563579\pi\)
−0.999623 + 0.0274505i \(0.991261\pi\)
\(110\) −1285.62 + 876.521i −0.106250 + 0.0724398i
\(111\) −3145.31 + 2918.42i −0.255280 + 0.236865i
\(112\) 2650.32 + 1040.17i 0.211282 + 0.0829219i
\(113\) 13024.3 10386.5i 1.01999 0.813416i 0.0374194 0.999300i \(-0.488086\pi\)
0.982572 + 0.185884i \(0.0595148\pi\)
\(114\) 541.988 40.6164i 0.0417042 0.00312530i
\(115\) −924.663 2997.69i −0.0699178 0.226668i
\(116\) −164.913 + 1094.13i −0.0122557 + 0.0813116i
\(117\) 16891.9 + 15673.4i 1.23397 + 1.14496i
\(118\) 2766.67 + 5745.04i 0.198698 + 0.412600i
\(119\) −602.935 4000.22i −0.0425772 0.282481i
\(120\) −485.133 + 711.560i −0.0336898 + 0.0494139i
\(121\) −6021.59 + 7550.84i −0.411283 + 0.515733i
\(122\) 2136.17 + 3699.95i 0.143521 + 0.248586i
\(123\) 189.025 + 109.134i 0.0124942 + 0.00721354i
\(124\) −763.552 1945.50i −0.0496587 0.126528i
\(125\) −3065.88 + 6366.37i −0.196217 + 0.407448i
\(126\) 3448.15 + 1063.61i 0.217193 + 0.0669951i
\(127\) 6512.29 28532.2i 0.403763 1.76900i −0.208173 0.978092i \(-0.566752\pi\)
0.611936 0.790907i \(-0.290391\pi\)
\(128\) 13495.5i 0.823698i
\(129\) 1121.33 + 3947.12i 0.0673838 + 0.237192i
\(130\) −6676.63 −0.395067
\(131\) −29916.4 6828.22i −1.74328 0.397892i −0.771959 0.635672i \(-0.780723\pi\)
−0.971319 + 0.237781i \(0.923580\pi\)
\(132\) 74.1412 240.360i 0.00425512 0.0137948i
\(133\) −727.121 350.163i −0.0411058 0.0197955i
\(134\) −14596.3 + 5728.63i −0.812894 + 0.319037i
\(135\) −1012.59 + 1753.86i −0.0555607 + 0.0962339i
\(136\) −18717.9 + 10806.8i −1.01199 + 0.584276i
\(137\) −12468.6 9943.36i −0.664318 0.529776i 0.232265 0.972653i \(-0.425386\pi\)
−0.896582 + 0.442877i \(0.853958\pi\)
\(138\) −3756.30 2561.00i −0.197243 0.134478i
\(139\) −16738.2 + 2522.88i −0.866324 + 0.130577i −0.567143 0.823619i \(-0.691951\pi\)
−0.299181 + 0.954197i \(0.596713\pi\)
\(140\) 105.076 50.6022i 0.00536104 0.00258174i
\(141\) −554.417 + 597.520i −0.0278868 + 0.0300548i
\(142\) 23379.5 + 3523.89i 1.15947 + 0.174761i
\(143\) 20432.2 6302.49i 0.999177 0.308205i
\(144\) −1294.68 17276.3i −0.0624362 0.833153i
\(145\) −2496.24 3130.18i −0.118727 0.148879i
\(146\) 42.9760 109.501i 0.00201614 0.00513703i
\(147\) −3388.24 3651.65i −0.156797 0.168987i
\(148\) −1748.79 2565.00i −0.0798388 0.117102i
\(149\) −12126.1 908.727i −0.546197 0.0409318i −0.201226 0.979545i \(-0.564492\pi\)
−0.344972 + 0.938613i \(0.612111\pi\)
\(150\) 1107.73 + 4853.26i 0.0492322 + 0.215701i
\(151\) −31463.7 + 7181.39i −1.37993 + 0.314959i −0.847176 0.531312i \(-0.821699\pi\)
−0.532751 + 0.846272i \(0.678842\pi\)
\(152\) −322.223 + 4299.77i −0.0139466 + 0.186105i
\(153\) −20338.8 + 13866.8i −0.868846 + 0.592369i
\(154\) 2454.51 2277.45i 0.103496 0.0960303i
\(155\) 7039.49 + 2762.79i 0.293007 + 0.114997i
\(156\) 843.842 672.941i 0.0346746 0.0276521i
\(157\) −15583.6 + 1167.83i −0.632221 + 0.0473784i −0.386987 0.922085i \(-0.626484\pi\)
−0.245235 + 0.969464i \(0.578865\pi\)
\(158\) 3116.16 + 10102.3i 0.124826 + 0.404676i
\(159\) 407.941 2706.51i 0.0161363 0.107057i
\(160\) −871.876 808.983i −0.0340577 0.0316009i
\(161\) 2929.00 + 6082.12i 0.112997 + 0.234641i
\(162\) −3047.01 20215.6i −0.116103 0.770295i
\(163\) 29296.2 42969.6i 1.10264 1.61728i 0.381706 0.924284i \(-0.375337\pi\)
0.720939 0.692999i \(-0.243711\pi\)
\(164\) −98.4627 + 123.468i −0.00366087 + 0.00459059i
\(165\) 455.070 + 788.204i 0.0167151 + 0.0289515i
\(166\) 3117.17 + 1799.70i 0.113121 + 0.0653107i
\(167\) 16800.2 + 42806.1i 0.602394 + 1.53487i 0.828042 + 0.560665i \(0.189455\pi\)
−0.225649 + 0.974209i \(0.572450\pi\)
\(168\) 804.086 1669.70i 0.0284894 0.0591589i
\(169\) 60380.6 + 18624.9i 2.11409 + 0.652111i
\(170\) 1587.10 6953.55i 0.0549171 0.240607i
\(171\) 4910.84i 0.167944i
\(172\) −2944.86 + 376.611i −0.0995424 + 0.0127302i
\(173\) 50493.5 1.68711 0.843555 0.537043i \(-0.180459\pi\)
0.843555 + 0.537043i \(0.180459\pi\)
\(174\) −5656.67 1291.10i −0.186837 0.0426443i
\(175\) 2178.78 7063.44i 0.0711439 0.230643i
\(176\) −14483.8 6975.04i −0.467582 0.225176i
\(177\) 3471.96 1362.65i 0.110823 0.0434947i
\(178\) −18417.7 + 31900.3i −0.581292 + 1.00683i
\(179\) −13369.3 + 7718.78i −0.417257 + 0.240903i −0.693903 0.720069i \(-0.744110\pi\)
0.276646 + 0.960972i \(0.410777\pi\)
\(180\) −554.840 442.470i −0.0171247 0.0136565i
\(181\) 4604.23 + 3139.11i 0.140540 + 0.0958186i 0.631549 0.775336i \(-0.282419\pi\)
−0.491009 + 0.871154i \(0.663372\pi\)
\(182\) 14207.0 2141.36i 0.428903 0.0646468i
\(183\) 2251.52 1084.27i 0.0672316 0.0323770i
\(184\) 24531.8 26438.9i 0.724591 0.780924i
\(185\) 11107.4 + 1674.18i 0.324542 + 0.0489168i
\(186\) 10472.4 3230.31i 0.302705 0.0933722i
\(187\) 1706.96 + 22777.8i 0.0488135 + 0.651371i
\(188\) −367.706 461.089i −0.0104036 0.0130457i
\(189\) 1592.16 4056.76i 0.0445721 0.113568i
\(190\) −967.807 1043.05i −0.0268091 0.0288933i
\(191\) −21012.4 30819.6i −0.575983 0.844811i 0.422110 0.906545i \(-0.361290\pi\)
−0.998093 + 0.0617333i \(0.980337\pi\)
\(192\) −9782.35 733.086i −0.265363 0.0198862i
\(193\) 11567.1 + 50678.8i 0.310535 + 1.36054i 0.853634 + 0.520873i \(0.174393\pi\)
−0.543100 + 0.839668i \(0.682750\pi\)
\(194\) 31782.3 7254.09i 0.844464 0.192743i
\(195\) −291.846 + 3894.41i −0.00767510 + 0.102417i
\(196\) 2977.93 2030.32i 0.0775179 0.0528508i
\(197\) −10566.4 + 9804.16i −0.272266 + 0.252626i −0.804474 0.593988i \(-0.797553\pi\)
0.532208 + 0.846614i \(0.321362\pi\)
\(198\) −18966.2 7443.68i −0.483782 0.189870i
\(199\) 1221.95 974.473i 0.0308566 0.0246073i −0.607940 0.793983i \(-0.708004\pi\)
0.638797 + 0.769376i \(0.279433\pi\)
\(200\) −39382.2 + 2951.29i −0.984556 + 0.0737823i
\(201\) 2703.43 + 8764.30i 0.0669149 + 0.216933i
\(202\) 3290.98 21834.2i 0.0806533 0.535100i
\(203\) 6315.59 + 5860.01i 0.153258 + 0.142202i
\(204\) 500.263 + 1038.81i 0.0120209 + 0.0249617i
\(205\) −85.1652 565.034i −0.00202654 0.0134452i
\(206\) −17346.5 + 25442.6i −0.408768 + 0.599553i
\(207\) 25611.4 32115.7i 0.597713 0.749509i
\(208\) −34490.0 59738.5i −0.797199 1.38079i
\(209\) 3946.33 + 2278.42i 0.0903444 + 0.0521604i
\(210\) 223.427 + 569.283i 0.00506638 + 0.0129089i
\(211\) −15458.5 + 32099.8i −0.347217 + 0.721004i −0.999310 0.0371351i \(-0.988177\pi\)
0.652093 + 0.758139i \(0.273891\pi\)
\(212\) 1892.37 + 583.719i 0.0421051 + 0.0129877i
\(213\) 3077.40 13483.0i 0.0678305 0.297185i
\(214\) 24352.6i 0.531763i
\(215\) 6248.66 8737.93i 0.135179 0.189030i
\(216\) −23283.7 −0.499051
\(217\) −15865.2 3621.13i −0.336920 0.0768997i
\(218\) 2712.46 8793.56i 0.0570755 0.185034i
\(219\) −61.9923 29.8539i −0.00129256 0.000622462i
\(220\) −612.989 + 240.580i −0.0126651 + 0.00497067i
\(221\) −49005.8 + 84880.6i −1.00337 + 1.73790i
\(222\) 14097.9 8139.43i 0.286055 0.165154i
\(223\) −32733.7 26104.3i −0.658242 0.524931i 0.236433 0.971648i \(-0.424022\pi\)
−0.894675 + 0.446717i \(0.852593\pi\)
\(224\) 2114.70 + 1441.78i 0.0421456 + 0.0287344i
\(225\) −44476.8 + 6703.79i −0.878553 + 0.132421i
\(226\) −56943.7 + 27422.7i −1.11488 + 0.536899i
\(227\) 53331.9 57478.1i 1.03499 1.11545i 0.0417773 0.999127i \(-0.486698\pi\)
0.993211 0.116325i \(-0.0371115\pi\)
\(228\) 227.448 + 34.2823i 0.00437535 + 0.000659478i
\(229\) 52009.0 16042.7i 0.991762 0.305918i 0.243920 0.969795i \(-0.421566\pi\)
0.747842 + 0.663877i \(0.231090\pi\)
\(230\) 889.434 + 11868.7i 0.0168135 + 0.224361i
\(231\) −1221.13 1531.24i −0.0228842 0.0286959i
\(232\) 16816.7 42848.4i 0.312440 0.796083i
\(233\) 44367.2 + 47816.5i 0.817241 + 0.880777i 0.994644 0.103362i \(-0.0329599\pi\)
−0.177402 + 0.984138i \(0.556769\pi\)
\(234\) −49248.6 72234.5i −0.899420 1.31921i
\(235\) 2127.97 + 159.469i 0.0385327 + 0.00288763i
\(236\) 600.495 + 2630.94i 0.0107816 + 0.0472375i
\(237\) 6028.81 1376.04i 0.107333 0.0244981i
\(238\) −1146.97 + 15305.3i −0.0202488 + 0.270201i
\(239\) 48319.5 32943.7i 0.845914 0.576735i −0.0609578 0.998140i \(-0.519416\pi\)
0.906872 + 0.421406i \(0.138463\pi\)
\(240\) 2152.36 1997.10i 0.0373674 0.0346719i
\(241\) −38708.8 15192.1i −0.666463 0.261567i 0.00789877 0.999969i \(-0.497486\pi\)
−0.674361 + 0.738402i \(0.735581\pi\)
\(242\) 28647.8 22845.9i 0.489171 0.390101i
\(243\) −40080.9 + 3003.65i −0.678774 + 0.0508671i
\(244\) 532.943 + 1727.76i 0.00895161 + 0.0290204i
\(245\) −1943.69 + 12895.6i −0.0323814 + 0.214837i
\(246\) −607.043 563.253i −0.0100311 0.00930751i
\(247\) 8483.72 + 17616.6i 0.139057 + 0.288755i
\(248\) 12958.3 + 85972.5i 0.210690 + 1.39784i
\(249\) 1186.00 1739.55i 0.0191288 0.0280568i
\(250\) 16715.1 20960.0i 0.267441 0.335360i
\(251\) −14131.2 24475.9i −0.224301 0.388500i 0.731809 0.681510i \(-0.238676\pi\)
−0.956109 + 0.293010i \(0.905343\pi\)
\(252\) 1322.54 + 763.568i 0.0208261 + 0.0120239i
\(253\) −13925.5 35481.5i −0.217555 0.554321i
\(254\) −48176.1 + 100039.i −0.746732 + 1.55060i
\(255\) −3986.57 1229.69i −0.0613082 0.0189111i
\(256\) 4344.69 19035.3i 0.0662948 0.290456i
\(257\) 68027.2i 1.02995i −0.857205 0.514975i \(-0.827801\pi\)
0.857205 0.514975i \(-0.172199\pi\)
\(258\) −815.342 15546.5i −0.0122490 0.233558i
\(259\) −24172.2 −0.360343
\(260\) −2754.76 628.757i −0.0407509 0.00930114i
\(261\) 15452.5 50095.9i 0.226839 0.735396i
\(262\) 104892. + 50513.3i 1.52806 + 0.735874i
\(263\) −103310. + 40546.2i −1.49359 + 0.586191i −0.964899 0.262623i \(-0.915412\pi\)
−0.528692 + 0.848814i \(0.677317\pi\)
\(264\) −5231.97 + 9062.04i −0.0750684 + 0.130022i
\(265\) −6205.59 + 3582.80i −0.0883672 + 0.0510188i
\(266\) 2393.90 + 1909.07i 0.0338332 + 0.0269811i
\(267\) 17802.1 + 12137.3i 0.249717 + 0.170254i
\(268\) −6561.90 + 989.047i −0.0913608 + 0.0137704i
\(269\) −40646.5 + 19574.3i −0.561718 + 0.270509i −0.693123 0.720820i \(-0.743766\pi\)
0.131404 + 0.991329i \(0.458051\pi\)
\(270\) 5226.13 5632.43i 0.0716891 0.0772624i
\(271\) 68249.1 + 10286.9i 0.929305 + 0.140070i 0.596215 0.802825i \(-0.296671\pi\)
0.333090 + 0.942895i \(0.391909\pi\)
\(272\) 70414.9 21720.1i 0.951758 0.293578i
\(273\) −628.025 8380.40i −0.00842658 0.112445i
\(274\) 37725.0 + 47305.6i 0.502491 + 0.630103i
\(275\) −15248.2 + 38851.7i −0.201628 + 0.513741i
\(276\) −1308.66 1410.40i −0.0171795 0.0185151i
\(277\) −35271.9 51734.4i −0.459695 0.674248i 0.524485 0.851419i \(-0.324258\pi\)
−0.984180 + 0.177171i \(0.943305\pi\)
\(278\) 64042.4 + 4799.32i 0.828664 + 0.0620997i
\(279\) 22034.5 + 96539.4i 0.283070 + 1.24021i
\(280\) −4730.05 + 1079.60i −0.0603322 + 0.0137704i
\(281\) 10568.6 141028.i 0.133845 1.78604i −0.376844 0.926277i \(-0.622991\pi\)
0.510689 0.859765i \(-0.329390\pi\)
\(282\) 2555.17 1742.08i 0.0321307 0.0219064i
\(283\) −23340.2 + 21656.5i −0.291428 + 0.270406i −0.812314 0.583221i \(-0.801792\pi\)
0.520886 + 0.853627i \(0.325602\pi\)
\(284\) 9314.47 + 3655.66i 0.115484 + 0.0453241i
\(285\) −650.704 + 518.919i −0.00801113 + 0.00638866i
\(286\) −80896.6 + 6062.37i −0.989005 + 0.0741157i
\(287\) 362.441 + 1175.00i 0.00440021 + 0.0142651i
\(288\) 2321.19 15400.1i 0.0279851 0.185669i
\(289\) −15526.7 14406.7i −0.185902 0.172492i
\(290\) 6590.61 + 13685.5i 0.0783664 + 0.162729i
\(291\) −2841.99 18855.4i −0.0335611 0.222664i
\(292\) 28.0438 41.1327i 0.000328906 0.000482416i
\(293\) −53882.8 + 67566.9i −0.627646 + 0.787043i −0.989398 0.145231i \(-0.953607\pi\)
0.361752 + 0.932275i \(0.382179\pi\)
\(294\) 9449.76 + 16367.5i 0.109327 + 0.189359i
\(295\) −8456.27 4882.23i −0.0971706 0.0561015i
\(296\) 47182.2 + 120218.i 0.538511 + 1.37210i
\(297\) −10676.5 + 22169.9i −0.121036 + 0.251334i
\(298\) 44085.7 + 13598.6i 0.496438 + 0.153131i
\(299\) 36394.2 159454.i 0.407090 1.78358i
\(300\) 2106.76i 0.0234085i
\(301\) −10493.9 + 20597.3i −0.115825 + 0.227341i
\(302\) 122443. 1.34252
\(303\) −12591.8 2874.00i −0.137152 0.0313042i
\(304\) 4333.09 14047.5i 0.0468868 0.152003i
\(305\) −5894.40 2838.59i −0.0633636 0.0305143i
\(306\) 86937.5 34120.4i 0.928462 0.364395i
\(307\) −30710.3 + 53191.8i −0.325842 + 0.564375i −0.981682 0.190525i \(-0.938981\pi\)
0.655841 + 0.754899i \(0.272314\pi\)
\(308\) 1227.20 708.525i 0.0129364 0.00746885i
\(309\) 14082.2 + 11230.2i 0.147487 + 0.117617i
\(310\) −23705.6 16162.2i −0.246677 0.168181i
\(311\) 86490.2 13036.3i 0.894223 0.134782i 0.314175 0.949365i \(-0.398272\pi\)
0.580048 + 0.814583i \(0.303034\pi\)
\(312\) −40453.4 + 19481.3i −0.415572 + 0.200129i
\(313\) 106498. 114778.i 1.08706 1.17157i 0.102827 0.994699i \(-0.467211\pi\)
0.984234 0.176874i \(-0.0565984\pi\)
\(314\) 58627.6 + 8836.70i 0.594625 + 0.0896253i
\(315\) −5280.21 + 1628.73i −0.0532145 + 0.0164145i
\(316\) 334.356 + 4461.67i 0.00334838 + 0.0446810i
\(317\) 349.053 + 437.698i 0.00347354 + 0.00435568i 0.783565 0.621310i \(-0.213399\pi\)
−0.780092 + 0.625665i \(0.784828\pi\)
\(318\) −3793.87 + 9666.63i −0.0375170 + 0.0955918i
\(319\) −33087.6 35659.9i −0.325150 0.350428i
\(320\) 14467.0 + 21219.2i 0.141279 + 0.207219i
\(321\) 14204.6 + 1064.49i 0.137854 + 0.0103307i
\(322\) −5699.18 24969.7i −0.0549668 0.240825i
\(323\) −20364.0 + 4647.95i −0.195190 + 0.0445509i
\(324\) 646.570 8627.87i 0.00615921 0.0821890i
\(325\) −147970. + 100884.i −1.40090 + 0.955118i
\(326\) −144639. + 134206.i −1.36098 + 1.26280i
\(327\) −5010.63 1966.53i −0.0468595 0.0183910i
\(328\) 5136.33 4096.09i 0.0477425 0.0380734i
\(329\) −4579.19 + 343.163i −0.0423055 + 0.00317036i
\(330\) −1017.81 3299.65i −0.00934625 0.0302998i
\(331\) 1696.77 11257.3i 0.0154870 0.102750i −0.979752 0.200216i \(-0.935836\pi\)
0.995239 + 0.0974662i \(0.0310738\pi\)
\(332\) 1116.66 + 1036.11i 0.0101308 + 0.00940001i
\(333\) 63818.6 + 132521.i 0.575518 + 1.19508i
\(334\) −26002.8 172517.i −0.233092 1.54646i
\(335\) 13526.1 19839.1i 0.120527 0.176780i
\(336\) −3939.43 + 4939.89i −0.0348943 + 0.0437561i
\(337\) −48243.3 83559.8i −0.424792 0.735762i 0.571609 0.820526i \(-0.306320\pi\)
−0.996401 + 0.0847643i \(0.972986\pi\)
\(338\) −207616. 119867.i −1.81730 1.04922i
\(339\) 13506.3 + 34413.4i 0.117527 + 0.299453i
\(340\) 1309.67 2719.56i 0.0113293 0.0235256i
\(341\) 87801.8 + 27083.3i 0.755083 + 0.232912i
\(342\) 4145.93 18164.5i 0.0354462 0.155300i
\(343\) 58081.1i 0.493681i
\(344\) 122922. + 11986.1i 1.03876 + 0.101289i
\(345\) 6961.76 0.0584899
\(346\) −186769. 42628.7i −1.56010 0.356082i
\(347\) −28887.4 + 93650.7i −0.239911 + 0.777772i 0.752906 + 0.658128i \(0.228651\pi\)
−0.992817 + 0.119644i \(0.961825\pi\)
\(348\) −2212.35 1065.41i −0.0182681 0.00879747i
\(349\) −16656.1 + 6537.04i −0.136749 + 0.0536699i −0.432728 0.901524i \(-0.642449\pi\)
0.295980 + 0.955194i \(0.404354\pi\)
\(350\) −14022.3 + 24287.3i −0.114468 + 0.198264i
\(351\) −91439.8 + 52792.8i −0.742200 + 0.428509i
\(352\) −11298.5 9010.29i −0.0911879 0.0727199i
\(353\) −147054. 100260.i −1.18012 0.804595i −0.195745 0.980655i \(-0.562713\pi\)
−0.984380 + 0.176059i \(0.943665\pi\)
\(354\) −13992.7 + 2109.06i −0.111660 + 0.0168300i
\(355\) −32620.3 + 15709.1i −0.258840 + 0.124651i
\(356\) −10603.2 + 11427.6i −0.0836640 + 0.0901683i
\(357\) 8877.29 + 1338.04i 0.0696536 + 0.0104986i
\(358\) 55967.9 17263.8i 0.436689 0.134701i
\(359\) −8143.57 108668.i −0.0631867 0.843168i −0.935298 0.353861i \(-0.884869\pi\)
0.872111 0.489307i \(-0.162750\pi\)
\(360\) 18406.9 + 23081.5i 0.142029 + 0.178098i
\(361\) 46089.2 117433.i 0.353659 0.901109i
\(362\) −14380.3 15498.2i −0.109736 0.118267i
\(363\) −12073.5 17708.6i −0.0916265 0.134391i
\(364\) 6063.44 + 454.392i 0.0457632 + 0.00342948i
\(365\) 40.0832 + 175.616i 0.000300869 + 0.00131819i
\(366\) −9243.45 + 2109.76i −0.0690036 + 0.0157496i
\(367\) −13688.7 + 182664.i −0.101632 + 1.35619i 0.680350 + 0.732887i \(0.261828\pi\)
−0.781982 + 0.623301i \(0.785791\pi\)
\(368\) −101599. + 69269.1i −0.750230 + 0.511498i
\(369\) 5484.91 5089.25i 0.0402825 0.0373767i
\(370\) −39671.5 15569.9i −0.289785 0.113732i
\(371\) 12055.6 9614.01i 0.0875872 0.0698485i
\(372\) 4625.10 346.603i 0.0334222 0.00250465i
\(373\) 41785.2 + 135464.i 0.300334 + 0.973659i 0.972430 + 0.233195i \(0.0749180\pi\)
−0.672096 + 0.740464i \(0.734606\pi\)
\(374\) 12916.2 85693.1i 0.0923400 0.612636i
\(375\) −11495.1 10665.9i −0.0817432 0.0758466i
\(376\) 10644.9 + 22104.4i 0.0752950 + 0.156352i
\(377\) −31110.4 206404.i −0.218888 1.45223i
\(378\) −9314.07 + 13661.2i −0.0651862 + 0.0956107i
\(379\) 3467.93 4348.64i 0.0241430 0.0302744i −0.769613 0.638510i \(-0.779551\pi\)
0.793756 + 0.608236i \(0.208122\pi\)
\(380\) −301.089 521.501i −0.00208510 0.00361150i
\(381\) 56245.8 + 32473.5i 0.387472 + 0.223707i
\(382\) 51703.0 + 131737.i 0.354314 + 0.902778i
\(383\) −58328.7 + 121121.i −0.397635 + 0.825698i 0.601995 + 0.798500i \(0.294373\pi\)
−0.999630 + 0.0271981i \(0.991342\pi\)
\(384\) 28618.6 + 8827.67i 0.194082 + 0.0598665i
\(385\) −1140.95 + 4998.82i −0.00769741 + 0.0337246i
\(386\) 197219.i 1.32366i
\(387\) 140628. + 3150.95i 0.938964 + 0.0210387i
\(388\) 13796.4 0.0916439
\(389\) 12495.3 + 2851.97i 0.0825748 + 0.0188472i 0.263609 0.964630i \(-0.415087\pi\)
−0.181034 + 0.983477i \(0.557944\pi\)
\(390\) 4367.32 14158.5i 0.0287135 0.0930869i
\(391\) 157416. + 75807.5i 1.02966 + 0.495860i
\(392\) −139571. + 54777.8i −0.908290 + 0.356477i
\(393\) 34048.9 58974.5i 0.220454 0.381838i
\(394\) 47360.7 27343.7i 0.305088 0.176143i
\(395\) −12657.2 10093.7i −0.0811226 0.0646931i
\(396\) −7124.42 4857.35i −0.0454317 0.0309748i
\(397\) 108377. 16335.2i 0.687631 0.103644i 0.204073 0.978956i \(-0.434582\pi\)
0.483559 + 0.875312i \(0.339344\pi\)
\(398\) −5342.52 + 2572.82i −0.0337272 + 0.0162422i
\(399\) 1218.18 1312.89i 0.00765186 0.00824674i
\(400\) 133142. + 20067.9i 0.832134 + 0.125424i
\(401\) 178689. 55118.2i 1.11124 0.342773i 0.315814 0.948821i \(-0.397722\pi\)
0.795428 + 0.606048i \(0.207246\pi\)
\(402\) −2600.43 34700.3i −0.0160914 0.214724i
\(403\) 245821. + 308250.i 1.51359 + 1.89798i
\(404\) 3414.04 8698.84i 0.0209173 0.0532965i
\(405\) 21293.6 + 22949.0i 0.129819 + 0.139912i
\(406\) −18413.3 27007.3i −0.111707 0.163843i
\(407\) 136102. + 10199.5i 0.821631 + 0.0615727i
\(408\) −10673.2 46762.2i −0.0641170 0.280915i
\(409\) −27206.7 + 6209.74i −0.162640 + 0.0371216i −0.303066 0.952970i \(-0.598010\pi\)
0.140425 + 0.990091i \(0.455153\pi\)
\(410\) −162.011 + 2161.89i −0.000963777 + 0.0128607i
\(411\) 29241.9 19936.8i 0.173110 0.118024i
\(412\) −9553.14 + 8864.02i −0.0562797 + 0.0522199i
\(413\) 19559.7 + 7676.62i 0.114673 + 0.0450059i
\(414\) −121847. + 97169.4i −0.710907 + 0.566929i
\(415\) −5496.41 + 411.899i −0.0319141 + 0.00239163i
\(416\) −18277.7 59254.7i −0.105617 0.342402i
\(417\) 5598.79 37145.5i 0.0321975 0.213616i
\(418\) −12673.4 11759.2i −0.0725339 0.0673017i
\(419\) 132033. + 274169.i 0.752064 + 1.56168i 0.825517 + 0.564378i \(0.190884\pi\)
−0.0734528 + 0.997299i \(0.523402\pi\)
\(420\) 38.5746 + 255.926i 0.000218677 + 0.00145083i
\(421\) −97907.9 + 143605.i −0.552400 + 0.810222i −0.996308 0.0858502i \(-0.972639\pi\)
0.443908 + 0.896072i \(0.353592\pi\)
\(422\) 84278.7 105682.i 0.473253 0.593440i
\(423\) 13971.2 + 24198.8i 0.0780823 + 0.135243i
\(424\) −71346.1 41191.7i −0.396861 0.229128i
\(425\) −69894.7 178089.i −0.386960 0.985959i
\(426\) −22765.8 + 47273.7i −0.125448 + 0.260495i
\(427\) 13452.9 + 4149.68i 0.0737838 + 0.0227593i
\(428\) −2293.35 + 10047.8i −0.0125194 + 0.0548511i
\(429\) 47451.2i 0.257830i
\(430\) −30489.9 + 27045.1i −0.164899 + 0.146269i
\(431\) −211359. −1.13780 −0.568902 0.822406i \(-0.692632\pi\)
−0.568902 + 0.822406i \(0.692632\pi\)
\(432\) 77392.7 + 17664.4i 0.414698 + 0.0946522i
\(433\) 46339.8 150230.i 0.247160 0.801274i −0.743950 0.668235i \(-0.767050\pi\)
0.991111 0.133039i \(-0.0424737\pi\)
\(434\) 55626.2 + 26788.1i 0.295325 + 0.142221i
\(435\) 8270.73 3246.02i 0.0437085 0.0171543i
\(436\) 1947.27 3372.77i 0.0102436 0.0177424i
\(437\) 30185.9 17427.9i 0.158067 0.0912602i
\(438\) 204.097 + 162.762i 0.00106387 + 0.000848409i
\(439\) 137664. + 93857.9i 0.714319 + 0.487015i 0.865130 0.501548i \(-0.167236\pi\)
−0.150811 + 0.988563i \(0.548188\pi\)
\(440\) 27088.3 4082.90i 0.139919 0.0210894i
\(441\) −153855. + 74092.4i −0.791103 + 0.380975i
\(442\) 252926. 272589.i 1.29464 1.39529i
\(443\) −129159. 19467.6i −0.658137 0.0991983i −0.188522 0.982069i \(-0.560370\pi\)
−0.469616 + 0.882871i \(0.655608\pi\)
\(444\) 6583.29 2030.67i 0.0333946 0.0103009i
\(445\) −4215.27 56248.8i −0.0212865 0.284049i
\(446\) 99039.3 + 124191.i 0.497895 + 0.624341i
\(447\) 9859.01 25120.4i 0.0493422 0.125722i
\(448\) −37589.4 40511.7i −0.187288 0.201848i
\(449\) −165151. 242232.i −0.819196 1.20154i −0.976824 0.214042i \(-0.931337\pi\)
0.157628 0.987499i \(-0.449615\pi\)
\(450\) 170173. + 12752.7i 0.840361 + 0.0629764i
\(451\) −1544.94 6768.85i −0.00759556 0.0332783i
\(452\) −26077.3 + 5951.98i −0.127640 + 0.0291330i
\(453\) 5352.17 71419.8i 0.0260816 0.348034i
\(454\) −245793. + 167579.i −1.19250 + 0.813032i
\(455\) −16128.0 + 14964.6i −0.0779035 + 0.0722839i
\(456\) −8907.35 3495.88i −0.0428370 0.0168123i
\(457\) −278240. + 221889.i −1.33225 + 1.06244i −0.339713 + 0.940529i \(0.610330\pi\)
−0.992541 + 0.121908i \(0.961099\pi\)
\(458\) −205918. + 15431.4i −0.981666 + 0.0735657i
\(459\) −33246.3 107782.i −0.157804 0.511588i
\(460\) −750.728 + 4980.75i −0.00354786 + 0.0235385i
\(461\) −301027. 279312.i −1.41646 1.31428i −0.883732 0.467994i \(-0.844977\pi\)
−0.532726 0.846288i \(-0.678833\pi\)
\(462\) 3224.04 + 6694.79i 0.0151049 + 0.0313656i
\(463\) 31684.2 + 210211.i 0.147802 + 0.980602i 0.932616 + 0.360870i \(0.117520\pi\)
−0.784814 + 0.619731i \(0.787242\pi\)
\(464\) −88404.4 + 129665.i −0.410618 + 0.602266i
\(465\) −10463.5 + 13120.8i −0.0483916 + 0.0606812i
\(466\) −123740. 214323.i −0.569819 0.986956i
\(467\) −190324. 109884.i −0.872689 0.503847i −0.00444797 0.999990i \(-0.501416\pi\)
−0.868241 + 0.496143i \(0.834749\pi\)
\(468\) −13517.4 34441.7i −0.0617164 0.157251i
\(469\) −22418.9 + 46553.3i −0.101922 + 0.211643i
\(470\) −7736.44 2386.38i −0.0350224 0.0108030i
\(471\) 7717.06 33810.7i 0.0347865 0.152409i
\(472\) 112263.i 0.503908i
\(473\) 67777.2 111546.i 0.302943 0.498576i
\(474\) −23461.5 −0.104424
\(475\) −37209.5 8492.82i −0.164917 0.0376413i
\(476\) −1914.58 + 6206.92i −0.00845006 + 0.0273944i
\(477\) −84536.4 40710.6i −0.371541 0.178925i
\(478\) −206540. + 81060.8i −0.903957 + 0.354777i
\(479\) 17547.8 30393.7i 0.0764806 0.132468i −0.825249 0.564770i \(-0.808965\pi\)
0.901729 + 0.432301i \(0.142298\pi\)
\(480\) 2285.85 1319.74i 0.00992122 0.00572802i
\(481\) 457873. + 365141.i 1.97904 + 1.57823i
\(482\) 130353. + 88873.1i 0.561082 + 0.382539i
\(483\) −14813.7 + 2232.81i −0.0634994 + 0.00957100i
\(484\) 13971.5 6728.32i 0.0596420 0.0287221i
\(485\) −33954.4 + 36594.2i −0.144349 + 0.155571i
\(486\) 150790. + 22727.9i 0.638409 + 0.0962247i
\(487\) −93207.0 + 28750.6i −0.392998 + 0.121224i −0.484955 0.874539i \(-0.661164\pi\)
0.0919567 + 0.995763i \(0.470688\pi\)
\(488\) −5620.98 75006.8i −0.0236033 0.314964i
\(489\) 71958.4 + 90233.0i 0.300929 + 0.377353i
\(490\) 18076.4 46058.0i 0.0752871 0.191829i
\(491\) 56062.7 + 60421.2i 0.232547 + 0.250626i 0.838535 0.544848i \(-0.183412\pi\)
−0.605988 + 0.795474i \(0.707222\pi\)
\(492\) −197.422 289.564i −0.000815576 0.00119623i
\(493\) 222360. + 16663.6i 0.914878 + 0.0685606i
\(494\) −16507.4 72323.9i −0.0676435 0.296366i
\(495\) 30417.7 6942.64i 0.124141 0.0283344i
\(496\) 22151.7 295594.i 0.0900419 1.20153i
\(497\) 64373.4 43889.0i 0.260611 0.177682i
\(498\) −5855.47 + 5433.09i −0.0236104 + 0.0219072i
\(499\) −177730. 69754.1i −0.713774 0.280136i −0.0194629 0.999811i \(-0.506196\pi\)
−0.694311 + 0.719675i \(0.744291\pi\)
\(500\) 8870.46 7073.96i 0.0354819 0.0282958i
\(501\) −101764. + 7626.18i −0.405434 + 0.0303831i
\(502\) 31605.7 + 102463.i 0.125417 + 0.406593i
\(503\) 57695.0 382781.i 0.228035 1.51292i −0.522816 0.852445i \(-0.675119\pi\)
0.750852 0.660471i \(-0.229643\pi\)
\(504\) −46570.4 43211.0i −0.183336 0.170111i
\(505\) 14670.8 + 30464.2i 0.0575269 + 0.119456i
\(506\) 21553.5 + 142998.i 0.0841814 + 0.558507i
\(507\) −78992.4 + 115861.i −0.307305 + 0.450734i
\(508\) −29298.3 + 36738.9i −0.113531 + 0.142364i
\(509\) −111485. 193098.i −0.430311 0.745320i 0.566589 0.824001i \(-0.308263\pi\)
−0.996900 + 0.0786802i \(0.974929\pi\)
\(510\) 13707.6 + 7914.09i 0.0527013 + 0.0304271i
\(511\) −141.616 360.833i −0.000542340 0.00138186i
\(512\) −125828. + 261285.i −0.479997 + 0.996724i
\(513\) −21502.1 6632.52i −0.0817045 0.0252025i
\(514\) −57431.4 + 251624.i −0.217382 + 0.952412i
\(515\) 47154.3i 0.177790i
\(516\) 1127.65 6491.25i 0.00423522 0.0243797i
\(517\) 25928.1 0.0970040
\(518\) 89409.5 + 20407.1i 0.333215 + 0.0760541i
\(519\) −33028.9 + 107077.i −0.122619 + 0.397522i
\(520\) 105906. + 51001.5i 0.391663 + 0.188615i
\(521\) 308065. 120907.i 1.13493 0.445426i 0.277854 0.960623i \(-0.410377\pi\)
0.857071 + 0.515198i \(0.172281\pi\)
\(522\) −99449.9 + 172252.i −0.364975 + 0.632155i
\(523\) 374268. 216084.i 1.36829 0.789985i 0.377583 0.925976i \(-0.376755\pi\)
0.990710 + 0.135991i \(0.0434218\pi\)
\(524\) 38521.3 + 30719.7i 0.140294 + 0.111880i
\(525\) 13553.6 + 9240.69i 0.0491741 + 0.0335263i
\(526\) 416361. 62756.4i 1.50487 0.226823i
\(527\) −379469. + 182743.i −1.36633 + 0.657989i
\(528\) 24265.5 26152.0i 0.0870405 0.0938074i
\(529\) −11584.7 1746.11i −0.0413973 0.00623964i
\(530\) 25978.4 8013.27i 0.0924827 0.0285271i
\(531\) −9554.89 127501.i −0.0338873 0.452194i
\(532\) 807.936 + 1013.12i 0.00285466 + 0.00357962i
\(533\) 10884.0 27732.1i 0.0383121 0.0976177i
\(534\) −55600.8 59923.4i −0.194984 0.210142i
\(535\) −21007.1 30811.7i −0.0733935 0.107649i
\(536\) 275289. + 20630.0i 0.958206 + 0.0718076i
\(537\) −7623.36 33400.1i −0.0264361 0.115824i
\(538\) 166871. 38087.3i 0.576524 0.131588i
\(539\) −11841.4 + 158013.i −0.0407592 + 0.543894i
\(540\) 2686.71 1831.77i 0.00921370 0.00628179i
\(541\) −253855. + 235543.i −0.867344 + 0.804777i −0.982050 0.188622i \(-0.939598\pi\)
0.114706 + 0.993399i \(0.463407\pi\)
\(542\) −243760. 95668.6i −0.829780 0.325665i
\(543\) −9668.55 + 7710.42i −0.0327915 + 0.0261504i
\(544\) 66057.2 4950.31i 0.223215 0.0167276i
\(545\) 4153.63 + 13465.7i 0.0139841 + 0.0453353i
\(546\) −4752.11 + 31528.2i −0.0159405 + 0.105758i
\(547\) −223484. 207363.i −0.746915 0.693036i 0.211829 0.977307i \(-0.432058\pi\)
−0.958744 + 0.284271i \(0.908249\pi\)
\(548\) 11110.4 + 23070.9i 0.0369970 + 0.0768251i
\(549\) −12767.9 84709.8i −0.0423620 0.281053i
\(550\) 89201.1 130834.i 0.294880 0.432509i
\(551\) 27735.6 34779.3i 0.0913554 0.114556i
\(552\) 40019.9 + 69316.5i 0.131340 + 0.227488i
\(553\) 30170.1 + 17418.7i 0.0986567 + 0.0569595i
\(554\) 86789.7 + 221137.i 0.282780 + 0.720512i
\(555\) −10815.9 + 22459.4i −0.0351137 + 0.0729143i
\(556\) 25971.8 + 8011.25i 0.0840142 + 0.0259150i
\(557\) −69439.3 + 304233.i −0.223818 + 0.980610i 0.730757 + 0.682638i \(0.239167\pi\)
−0.954575 + 0.297972i \(0.903690\pi\)
\(558\) 375689.i 1.20659i
\(559\) 509916. 231638.i 1.63183 0.741287i
\(560\) 16541.2 0.0527463
\(561\) −49419.4 11279.6i −0.157026 0.0358401i
\(562\) −158153. + 512720.i −0.500732 + 1.62333i
\(563\) 327821. + 157870.i 1.03424 + 0.498061i 0.872419 0.488759i \(-0.162550\pi\)
0.161817 + 0.986821i \(0.448265\pi\)
\(564\) 1218.31 478.153i 0.00383002 0.00150317i
\(565\) 48391.7 83816.9i 0.151591 0.262564i
\(566\) 104616. 60399.8i 0.326560 0.188540i
\(567\) −52670.3 42003.2i −0.163832 0.130652i
\(568\) −343930. 234488.i −1.06604 0.726814i
\(569\) −90497.0 + 13640.2i −0.279518 + 0.0421306i −0.287305 0.957839i \(-0.592759\pi\)
0.00778708 + 0.999970i \(0.497521\pi\)
\(570\) 2844.96 1370.06i 0.00875642 0.00421687i
\(571\) −251480. + 271031.i −0.771313 + 0.831278i −0.989485 0.144632i \(-0.953800\pi\)
0.218172 + 0.975910i \(0.429991\pi\)
\(572\) −33948.7 5116.95i −0.103760 0.0156394i
\(573\) 79100.9 24399.4i 0.240920 0.0743139i
\(574\) −348.632 4652.17i −0.00105814 0.0141199i
\(575\) 199049. + 249599.i 0.602037 + 0.754931i
\(576\) −122858. + 313037.i −0.370304 + 0.943519i
\(577\) −347653. 374680.i −1.04422 1.12541i −0.991932 0.126774i \(-0.959538\pi\)
−0.0522926 0.998632i \(-0.516653\pi\)
\(578\) 45268.6 + 66396.8i 0.135501 + 0.198743i
\(579\) −115036. 8620.77i −0.343145 0.0257151i
\(580\) 1430.47 + 6267.29i 0.00425228 + 0.0186305i
\(581\) 11563.5 2639.30i 0.0342562 0.00781874i
\(582\) −5406.36 + 72142.8i −0.0159609 + 0.212984i
\(583\) −71936.2 + 49045.2i −0.211646 + 0.144298i
\(584\) −1518.15 + 1408.63i −0.00445131 + 0.00413022i
\(585\) 124622. + 48910.5i 0.364152 + 0.142919i
\(586\) 256348. 204431.i 0.746508 0.595321i
\(587\) 381602. 28597.1i 1.10748 0.0829939i 0.491589 0.870827i \(-0.336416\pi\)
0.615888 + 0.787834i \(0.288797\pi\)
\(588\) 2357.58 + 7643.09i 0.00681887 + 0.0221062i
\(589\) −12523.1 + 83085.3i −0.0360978 + 0.239493i
\(590\) 27156.8 + 25197.9i 0.0780145 + 0.0723868i
\(591\) −13879.1 28820.3i −0.0397362 0.0825131i
\(592\) −65624.2 435388.i −0.187249 1.24232i
\(593\) 60632.2 88931.1i 0.172422 0.252897i −0.730294 0.683133i \(-0.760617\pi\)
0.902717 + 0.430235i \(0.141569\pi\)
\(594\) 58207.6 72990.1i 0.164971 0.206867i
\(595\) −11751.5 20354.1i −0.0331939 0.0574935i
\(596\) 16909.1 + 9762.45i 0.0476022 + 0.0274831i
\(597\) 1267.17 + 3228.70i 0.00355539 + 0.00905898i
\(598\) −269235. + 559072.i −0.752885 + 1.56338i
\(599\) 29898.6 + 9222.49i 0.0833291 + 0.0257036i 0.336139 0.941812i \(-0.390879\pi\)
−0.252810 + 0.967516i \(0.581355\pi\)
\(600\) 19502.2 85444.8i 0.0541729 0.237347i
\(601\) 283644.i 0.785279i −0.919692 0.392640i \(-0.871562\pi\)
0.919692 0.392640i \(-0.128438\pi\)
\(602\) 56204.5 67327.2i 0.155088 0.185779i
\(603\) 314412. 0.864699
\(604\) 50519.7 + 11530.8i 0.138480 + 0.0316072i
\(605\) −16538.8 + 53617.5i −0.0451849 + 0.146486i
\(606\) 44149.1 + 21261.1i 0.120220 + 0.0578949i
\(607\) −507007. + 198986.i −1.37606 + 0.540063i −0.934112 0.356980i \(-0.883807\pi\)
−0.441945 + 0.897042i \(0.645711\pi\)
\(608\) 6607.57 11444.7i 0.0178745 0.0309596i
\(609\) −16558.0 + 9559.74i −0.0446449 + 0.0257758i
\(610\) 19406.1 + 15475.9i 0.0521530 + 0.0415906i
\(611\) 91923.5 + 62672.4i 0.246232 + 0.167878i
\(612\) 39083.5 5890.88i 0.104349 0.0157281i
\(613\) 102945. 49575.7i 0.273958 0.131931i −0.291861 0.956461i \(-0.594274\pi\)
0.565819 + 0.824529i \(0.308560\pi\)
\(614\) 158500. 170822.i 0.420429 0.453114i
\(615\) 1253.92 + 188.999i 0.00331529 + 0.000499699i
\(616\) −56330.8 + 17375.8i −0.148452 + 0.0457912i
\(617\) −5874.09 78384.3i −0.0154302 0.205901i −0.999590 0.0286198i \(-0.990889\pi\)
0.984160 0.177281i \(-0.0567303\pi\)
\(618\) −42607.2 53427.7i −0.111559 0.139891i
\(619\) 130001. 331237.i 0.339285 0.864484i −0.654792 0.755809i \(-0.727244\pi\)
0.994077 0.108675i \(-0.0346609\pi\)
\(620\) −8258.86 8900.93i −0.0214851 0.0231554i
\(621\) 106028. + 155515.i 0.274940 + 0.403263i
\(622\) −330921. 24799.1i −0.855350 0.0640996i
\(623\) 27009.9 + 118338.i 0.0695901 + 0.304894i
\(624\) 149243. 34063.6i 0.383286 0.0874826i
\(625\) 24547.0 327558.i 0.0628404 0.838547i
\(626\) −490823. + 334637.i −1.25250 + 0.853937i
\(627\) −7413.01 + 6878.27i −0.0188564 + 0.0174962i
\(628\) 23357.5 + 9167.14i 0.0592252 + 0.0232442i
\(629\) −489127. + 390066.i −1.23629 + 0.985909i
\(630\) 20905.8 1566.68i 0.0526728 0.00394728i
\(631\) −187859. 609023.i −0.471816 1.52959i −0.808803 0.588080i \(-0.799884\pi\)
0.336987 0.941509i \(-0.390592\pi\)
\(632\) 27740.9 184049.i 0.0694521 0.460785i
\(633\) −57959.4 53778.5i −0.144649 0.134215i
\(634\) −921.576 1913.67i −0.00229273 0.00476090i
\(635\) −25341.5 168130.i −0.0628471 0.416963i
\(636\) −2475.68 + 3631.15i −0.00612040 + 0.00897698i
\(637\) −423923. + 531583.i −1.04474 + 1.31006i
\(638\) 92280.9 + 159835.i 0.226710 + 0.392673i
\(639\) −410573. 237044.i −1.00551 0.580534i
\(640\) −28644.9 72986.0i −0.0699338 0.178188i
\(641\) 69937.5 145227.i 0.170213 0.353452i −0.798360 0.602181i \(-0.794299\pi\)
0.968573 + 0.248729i \(0.0800129\pi\)
\(642\) −51642.3 15929.6i −0.125296 0.0386486i
\(643\) 64129.6 280970.i 0.155109 0.679576i −0.836244 0.548357i \(-0.815254\pi\)
0.991353 0.131220i \(-0.0418893\pi\)
\(644\) 10839.2i 0.0261351i
\(645\) 14442.4 + 18966.6i 0.0347151 + 0.0455901i
\(646\) 79247.6 0.189898
\(647\) 329740. + 75261.1i 0.787705 + 0.179789i 0.597407 0.801938i \(-0.296198\pi\)
0.190298 + 0.981726i \(0.439055\pi\)
\(648\) −106091. + 343939.i −0.252655 + 0.819089i
\(649\) −106893. 51476.8i −0.253780 0.122214i
\(650\) 632493. 248235.i 1.49702 0.587539i
\(651\) 18056.8 31275.2i 0.0426067 0.0737970i
\(652\) −72316.4 + 41751.9i −0.170115 + 0.0982158i
\(653\) 188907. + 150648.i 0.443017 + 0.353294i 0.819451 0.573149i \(-0.194278\pi\)
−0.376434 + 0.926443i \(0.622850\pi\)
\(654\) 16873.4 + 11504.1i 0.0394501 + 0.0268966i
\(655\) −176287. + 26570.9i −0.410901 + 0.0619333i
\(656\) −20180.2 + 9718.25i −0.0468940 + 0.0225829i
\(657\) −1604.33 + 1729.05i −0.00371674 + 0.00400569i
\(658\) 17227.5 + 2596.63i 0.0397897 + 0.00599733i
\(659\) −640831. + 197670.i −1.47561 + 0.455167i −0.925121 0.379672i \(-0.876037\pi\)
−0.550494 + 0.834839i \(0.685561\pi\)
\(660\) −109.208 1457.28i −0.000250707 0.00334545i
\(661\) 188661. + 236574.i 0.431798 + 0.541457i 0.949361 0.314188i \(-0.101732\pi\)
−0.517563 + 0.855645i \(0.673161\pi\)
\(662\) −15780.1 + 40206.9i −0.0360075 + 0.0917455i
\(663\) −147943. 159444.i −0.336563 0.362729i
\(664\) −35697.5 52358.6i −0.0809658 0.118755i
\(665\) −4675.65 350.391i −0.0105730 0.000792337i
\(666\) −124177. 544055.i −0.279958 1.22658i
\(667\) −362768. + 82799.5i −0.815413 + 0.186113i
\(668\) 5517.74 73629.1i 0.0123654 0.165005i
\(669\) 76768.8 52340.1i 0.171527 0.116945i
\(670\) −66780.3 + 61963.0i −0.148764 + 0.138033i
\(671\) −73996.3 29041.4i −0.164348 0.0645019i
\(672\) −4440.72 + 3541.35i −0.00983365 + 0.00784207i
\(673\) 1814.36 135.967i 0.00400583 0.000300195i −0.0727270 0.997352i \(-0.523170\pi\)
0.0767329 + 0.997052i \(0.475551\pi\)
\(674\) 107901. + 349805.i 0.237522 + 0.770028i
\(675\) 30717.2 203796.i 0.0674178 0.447288i
\(676\) −74373.6 69008.6i −0.162752 0.151012i
\(677\) 370225. + 768780.i 0.807771 + 1.67735i 0.733076 + 0.680147i \(0.238084\pi\)
0.0746954 + 0.997206i \(0.476202\pi\)
\(678\) −20904.6 138693.i −0.0454761 0.301714i
\(679\) 60513.9 88757.6i 0.131255 0.192516i
\(680\) −78291.7 + 98174.7i −0.169316 + 0.212315i
\(681\) 87003.1 + 150694.i 0.187603 + 0.324939i
\(682\) −301902. 174303.i −0.649079 0.374746i
\(683\) −23267.3 59284.2i −0.0498775 0.127086i 0.903764 0.428032i \(-0.140793\pi\)
−0.953641 + 0.300946i \(0.902698\pi\)
\(684\) 3421.21 7104.22i 0.00731253 0.0151846i
\(685\) −88537.7 27310.3i −0.188689 0.0582029i
\(686\) −49034.5 + 214834.i −0.104197 + 0.456515i
\(687\) 120785.i 0.255916i
\(688\) −399487. 133096.i −0.843968 0.281183i
\(689\) −373587. −0.786961
\(690\) −25750.6 5877.41i −0.0540866 0.0123449i
\(691\) 166345. 539277.i 0.348380 1.12942i −0.596668 0.802488i \(-0.703509\pi\)
0.945048 0.326932i \(-0.106015\pi\)
\(692\) −73046.0 35177.1i −0.152540 0.0734594i
\(693\) −62498.2 + 24528.8i −0.130137 + 0.0510751i
\(694\) 185915. 322014.i 0.386006 0.668583i
\(695\) −85168.6 + 49172.1i −0.176323 + 0.101800i
\(696\) 79864.5 + 63689.8i 0.164868 + 0.131477i
\(697\) 26295.1 + 17927.7i 0.0541264 + 0.0369028i
\(698\) 67127.6 10117.9i 0.137781 0.0207672i
\(699\) −130422. + 62807.7i −0.266929 + 0.128546i
\(700\) −8072.77 + 8700.37i −0.0164750 + 0.0177559i
\(701\) 851395. + 128327.i 1.73259 + 0.261145i 0.938157 0.346210i \(-0.112532\pi\)
0.794430 + 0.607356i \(0.207770\pi\)
\(702\) 382793. 118076.i 0.776766 0.239601i
\(703\) 9326.95 + 124459.i 0.0188725 + 0.251836i
\(704\) 194555. + 243964.i 0.392551 + 0.492244i
\(705\) −1730.12 + 4408.28i −0.00348096 + 0.00886933i
\(706\) 459290. + 494997.i 0.921462 + 0.993100i
\(707\) −40988.2 60118.6i −0.0820012 0.120274i
\(708\) −5971.99 447.539i −0.0119139 0.000892821i
\(709\) 106919. + 468442.i 0.212697 + 0.931887i 0.962725 + 0.270481i \(0.0871827\pi\)
−0.750028 + 0.661406i \(0.769960\pi\)
\(710\) 133920. 30566.4i 0.265662 0.0606356i
\(711\) 15841.7 211392.i 0.0313373 0.418167i
\(712\) 535824. 365319.i 1.05697 0.720629i
\(713\) 515211. 478046.i 1.01346 0.940353i
\(714\) −31706.3 12443.8i −0.0621940 0.0244094i
\(715\) 97123.6 77453.5i 0.189982 0.151506i
\(716\) 24718.0 1852.36i 0.0482156 0.00361326i
\(717\) 38253.8 + 124016.i 0.0744109 + 0.241234i
\(718\) −61620.4 + 408825.i −0.119530 + 0.793028i
\(719\) 372719. + 345833.i 0.720981 + 0.668972i 0.952735 0.303802i \(-0.0982561\pi\)
−0.231755 + 0.972774i \(0.574447\pi\)
\(720\) −43671.7 90685.2i −0.0842432 0.174933i
\(721\) 15123.6 + 100338.i 0.0290927 + 0.193017i
\(722\) −269620. + 395460.i −0.517223 + 0.758627i
\(723\) 57536.7 72148.8i 0.110070 0.138023i
\(724\) −4473.76 7748.77i −0.00853484 0.0147828i
\(725\) 352854. + 203720.i 0.671303 + 0.387577i
\(726\) 29708.0 + 75694.8i 0.0563638 + 0.143613i
\(727\) 354955. 737071.i 0.671590 1.39457i −0.234765 0.972052i \(-0.575432\pi\)
0.906355 0.422518i \(-0.138854\pi\)
\(728\) −241711. 74557.9i −0.456072 0.140680i
\(729\) −77275.4 + 338566.i −0.145407 + 0.637071i
\(730\) 683.420i 0.00128246i
\(731\) 120033. + 586129.i 0.224630 + 1.09688i
\(732\) −4012.51 −0.00748849
\(733\) 22005.2 + 5022.54i 0.0409560 + 0.00934794i 0.242950 0.970039i \(-0.421885\pi\)
−0.201994 + 0.979387i \(0.564742\pi\)
\(734\) 204845. 664092.i 0.380219 1.23264i
\(735\) −26075.0 12557.1i −0.0482670 0.0232442i
\(736\) −102899. + 40384.9i −0.189957 + 0.0745527i
\(737\) 145874. 252661.i 0.268560 0.465160i
\(738\) −24584.5 + 14193.9i −0.0451386 + 0.0260608i
\(739\) 114896. + 91626.7i 0.210386 + 0.167777i 0.723014 0.690834i \(-0.242756\pi\)
−0.512628 + 0.858611i \(0.671328\pi\)
\(740\) −14902.1 10160.1i −0.0272135 0.0185539i
\(741\) −42907.4 + 6467.24i −0.0781440 + 0.0117783i
\(742\) −52708.6 + 25383.1i −0.0957356 + 0.0461038i
\(743\) −199850. + 215387.i −0.362015 + 0.390160i −0.887626 0.460566i \(-0.847647\pi\)
0.525610 + 0.850726i \(0.323837\pi\)
\(744\) −190790. 28757.0i −0.344675 0.0519515i
\(745\) −67509.2 + 20823.8i −0.121633 + 0.0375187i
\(746\) −40193.2 536341.i −0.0722228 0.963747i
\(747\) −44999.4 56427.4i −0.0806428 0.101123i
\(748\) 13399.1 34140.5i 0.0239482 0.0610191i
\(749\) 54582.4 + 58825.8i 0.0972946 + 0.104859i
\(750\) 33514.3 + 49156.5i 0.0595810 + 0.0873893i
\(751\) 980561. + 73482.9i 1.73858 + 0.130289i 0.905907 0.423476i \(-0.139190\pi\)
0.832673 + 0.553765i \(0.186809\pi\)
\(752\) −18612.9 81548.5i −0.0329139 0.144205i
\(753\) 61147.3 13956.5i 0.107842 0.0246142i
\(754\) −59181.7 + 789725.i −0.104099 + 1.38910i
\(755\) −154919. + 105622.i −0.271775 + 0.185293i
\(756\)