Properties

Label 43.4.g.a.10.9
Level 43
Weight 4
Character 43.10
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 10.9
Character \(\chi\) \(=\) 43.10
Dual form 43.4.g.a.13.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.882546 + 3.86669i) q^{2} +(4.09405 + 3.79872i) q^{3} +(-6.96463 + 3.35399i) q^{4} +(7.73032 - 1.16516i) q^{5} +(-11.0753 + 19.1829i) q^{6} +(-13.6399 - 23.6249i) q^{7} +(0.667271 + 0.836731i) q^{8} +(0.313230 + 4.17976i) q^{9} +O(q^{10})\) \(q+(0.882546 + 3.86669i) q^{2} +(4.09405 + 3.79872i) q^{3} +(-6.96463 + 3.35399i) q^{4} +(7.73032 - 1.16516i) q^{5} +(-11.0753 + 19.1829i) q^{6} +(-13.6399 - 23.6249i) q^{7} +(0.667271 + 0.836731i) q^{8} +(0.313230 + 4.17976i) q^{9} +(11.3277 + 28.8624i) q^{10} +(-32.0542 - 15.4365i) q^{11} +(-41.2544 - 12.7253i) q^{12} +(-4.10716 + 10.4649i) q^{13} +(79.3124 - 73.5911i) q^{14} +(36.0744 + 24.5951i) q^{15} +(-41.2039 + 51.6680i) q^{16} +(97.9379 + 14.7618i) q^{17} +(-15.8854 + 4.89999i) q^{18} +(0.481387 - 6.42367i) q^{19} +(-49.9309 + 34.0423i) q^{20} +(33.9022 - 148.535i) q^{21} +(31.3987 - 137.567i) q^{22} +(51.0725 - 34.8207i) q^{23} +(-0.446669 + 5.96039i) q^{24} +(-61.0463 + 18.8303i) q^{25} +(-44.0891 - 6.64537i) q^{26} +(79.4227 - 99.5929i) q^{27} +(174.234 + 118.791i) q^{28} +(-186.538 + 173.082i) q^{29} +(-63.2643 + 161.195i) q^{30} +(38.7147 + 11.9419i) q^{31} +(-228.435 - 110.008i) q^{32} +(-72.5924 - 184.962i) q^{33} +(29.3556 + 391.723i) q^{34} +(-132.967 - 166.736i) q^{35} +(-16.2004 - 28.0599i) q^{36} +(-147.447 + 255.385i) q^{37} +(25.2632 - 3.80781i) q^{38} +(-56.5680 + 27.2417i) q^{39} +(6.13314 + 5.69073i) q^{40} +(-47.9294 - 209.992i) q^{41} +604.260 q^{42} +(249.500 - 131.366i) q^{43} +275.019 q^{44} +(7.29145 + 31.9459i) q^{45} +(179.714 + 166.751i) q^{46} +(-308.358 + 148.497i) q^{47} +(-364.963 + 55.0093i) q^{48} +(-200.591 + 347.434i) q^{49} +(-126.687 - 219.428i) q^{50} +(344.886 + 432.474i) q^{51} +(-6.49422 - 86.6594i) q^{52} +(-132.499 - 337.602i) q^{53} +(455.189 + 219.207i) q^{54} +(-265.775 - 81.9808i) q^{55} +(10.6662 - 27.1771i) q^{56} +(26.3725 - 24.4701i) q^{57} +(-833.881 - 568.530i) q^{58} +(229.617 - 287.931i) q^{59} +(-333.737 - 50.3027i) q^{60} +(750.111 - 231.379i) q^{61} +(-12.0081 + 160.237i) q^{62} +(94.4740 - 64.4113i) q^{63} +(106.120 - 464.941i) q^{64} +(-19.5564 + 85.6823i) q^{65} +(651.126 - 443.930i) q^{66} +(27.9027 - 372.335i) q^{67} +(-731.612 + 225.672i) q^{68} +(341.367 + 51.4528i) q^{69} +(527.365 - 661.295i) q^{70} +(-537.961 - 366.776i) q^{71} +(-3.28832 + 3.05112i) q^{72} +(-385.130 + 981.295i) q^{73} +(-1117.62 - 344.741i) q^{74} +(-321.457 - 154.806i) q^{75} +(18.1922 + 46.3530i) q^{76} +(72.5287 + 967.828i) q^{77} +(-155.259 - 194.689i) q^{78} +(431.319 + 747.067i) q^{79} +(-258.318 + 447.420i) q^{80} +(815.391 - 122.900i) q^{81} +(769.675 - 370.656i) q^{82} +(389.475 + 361.380i) q^{83} +(262.070 + 1148.20i) q^{84} +774.291 q^{85} +(728.144 + 848.801i) q^{86} -1421.18 q^{87} +(-8.47263 - 37.1210i) q^{88} +(793.386 + 736.155i) q^{89} +(-117.090 + 56.3875i) q^{90} +(303.253 - 45.7080i) q^{91} +(-238.913 + 413.810i) q^{92} +(113.136 + 195.957i) q^{93} +(-846.333 - 1061.27i) q^{94} +(-3.76331 - 50.2179i) q^{95} +(-517.331 - 1318.14i) q^{96} +(-487.771 - 234.898i) q^{97} +(-1520.45 - 468.997i) q^{98} +(54.4804 - 138.814i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.882546 + 3.86669i 0.312027 + 1.36708i 0.851181 + 0.524873i \(0.175887\pi\)
−0.539153 + 0.842208i \(0.681256\pi\)
\(3\) 4.09405 + 3.79872i 0.787899 + 0.731064i 0.967554 0.252666i \(-0.0813074\pi\)
−0.179654 + 0.983730i \(0.557498\pi\)
\(4\) −6.96463 + 3.35399i −0.870579 + 0.419249i
\(5\) 7.73032 1.16516i 0.691421 0.104215i 0.206074 0.978536i \(-0.433931\pi\)
0.485347 + 0.874321i \(0.338693\pi\)
\(6\) −11.0753 + 19.1829i −0.753577 + 1.30523i
\(7\) −13.6399 23.6249i −0.736483 1.27563i −0.954070 0.299585i \(-0.903152\pi\)
0.217587 0.976041i \(-0.430181\pi\)
\(8\) 0.667271 + 0.836731i 0.0294895 + 0.0369786i
\(9\) 0.313230 + 4.17976i 0.0116011 + 0.154806i
\(10\) 11.3277 + 28.8624i 0.358212 + 0.912710i
\(11\) −32.0542 15.4365i −0.878609 0.423116i −0.0604926 0.998169i \(-0.519267\pi\)
−0.818116 + 0.575053i \(0.804981\pi\)
\(12\) −41.2544 12.7253i −0.992427 0.306123i
\(13\) −4.10716 + 10.4649i −0.0876247 + 0.223264i −0.967968 0.251072i \(-0.919217\pi\)
0.880344 + 0.474337i \(0.157312\pi\)
\(14\) 79.3124 73.5911i 1.51408 1.40486i
\(15\) 36.0744 + 24.5951i 0.620958 + 0.423362i
\(16\) −41.2039 + 51.6680i −0.643811 + 0.807313i
\(17\) 97.9379 + 14.7618i 1.39726 + 0.210603i 0.804106 0.594486i \(-0.202644\pi\)
0.593154 + 0.805089i \(0.297883\pi\)
\(18\) −15.8854 + 4.89999i −0.208012 + 0.0641633i
\(19\) 0.481387 6.42367i 0.00581252 0.0775626i −0.993543 0.113455i \(-0.963808\pi\)
0.999356 + 0.0358922i \(0.0114273\pi\)
\(20\) −49.9309 + 34.0423i −0.558245 + 0.380605i
\(21\) 33.9022 148.535i 0.352289 1.54348i
\(22\) 31.3987 137.567i 0.304283 1.33315i
\(23\) 51.0725 34.8207i 0.463016 0.315679i −0.309247 0.950982i \(-0.600077\pi\)
0.772263 + 0.635303i \(0.219125\pi\)
\(24\) −0.446669 + 5.96039i −0.00379900 + 0.0506941i
\(25\) −61.0463 + 18.8303i −0.488370 + 0.150642i
\(26\) −44.0891 6.64537i −0.332561 0.0501255i
\(27\) 79.4227 99.5929i 0.566107 0.709876i
\(28\) 174.234 + 118.791i 1.17597 + 0.801764i
\(29\) −186.538 + 173.082i −1.19445 + 1.10829i −0.202820 + 0.979216i \(0.565011\pi\)
−0.991635 + 0.129076i \(0.958799\pi\)
\(30\) −63.2643 + 161.195i −0.385014 + 0.981000i
\(31\) 38.7147 + 11.9419i 0.224302 + 0.0691880i 0.404869 0.914375i \(-0.367317\pi\)
−0.180567 + 0.983563i \(0.557793\pi\)
\(32\) −228.435 110.008i −1.26193 0.607716i
\(33\) −72.5924 184.962i −0.382931 0.975692i
\(34\) 29.3556 + 391.723i 0.148072 + 1.97588i
\(35\) −132.967 166.736i −0.642159 0.805242i
\(36\) −16.2004 28.0599i −0.0750018 0.129907i
\(37\) −147.447 + 255.385i −0.655138 + 1.13473i 0.326721 + 0.945121i \(0.394056\pi\)
−0.981859 + 0.189612i \(0.939277\pi\)
\(38\) 25.2632 3.80781i 0.107848 0.0162555i
\(39\) −56.5680 + 27.2417i −0.232260 + 0.111850i
\(40\) 6.13314 + 5.69073i 0.0242434 + 0.0224946i
\(41\) −47.9294 209.992i −0.182569 0.799885i −0.980402 0.197007i \(-0.936878\pi\)
0.797833 0.602878i \(-0.205979\pi\)
\(42\) 604.260 2.21999
\(43\) 249.500 131.366i 0.884845 0.465885i
\(44\) 275.019 0.942289
\(45\) 7.29145 + 31.9459i 0.0241543 + 0.105827i
\(46\) 179.714 + 166.751i 0.576032 + 0.534479i
\(47\) −308.358 + 148.497i −0.956992 + 0.460863i −0.846132 0.532973i \(-0.821075\pi\)
−0.110860 + 0.993836i \(0.535360\pi\)
\(48\) −364.963 + 55.0093i −1.09746 + 0.165415i
\(49\) −200.591 + 347.434i −0.584814 + 1.01293i
\(50\) −126.687 219.428i −0.358325 0.620637i
\(51\) 344.886 + 432.474i 0.946936 + 1.18742i
\(52\) −6.49422 86.6594i −0.0173190 0.231106i
\(53\) −132.499 337.602i −0.343399 0.874966i −0.993365 0.115003i \(-0.963312\pi\)
0.649966 0.759963i \(-0.274783\pi\)
\(54\) 455.189 + 219.207i 1.14710 + 0.552414i
\(55\) −265.775 81.9808i −0.651584 0.200987i
\(56\) 10.6662 27.1771i 0.0254524 0.0648517i
\(57\) 26.3725 24.4701i 0.0612829 0.0568622i
\(58\) −833.881 568.530i −1.88783 1.28710i
\(59\) 229.617 287.931i 0.506671 0.635345i −0.461048 0.887375i \(-0.652527\pi\)
0.967720 + 0.252030i \(0.0810980\pi\)
\(60\) −333.737 50.3027i −0.718087 0.108234i
\(61\) 750.111 231.379i 1.57446 0.485656i 0.620150 0.784483i \(-0.287072\pi\)
0.954307 + 0.298828i \(0.0965955\pi\)
\(62\) −12.0081 + 160.237i −0.0245973 + 0.328228i
\(63\) 94.4740 64.4113i 0.188930 0.128810i
\(64\) 106.120 464.941i 0.207265 0.908088i
\(65\) −19.5564 + 85.6823i −0.0373181 + 0.163501i
\(66\) 651.126 443.930i 1.21436 0.827940i
\(67\) 27.9027 372.335i 0.0508784 0.678925i −0.912207 0.409729i \(-0.865623\pi\)
0.963085 0.269196i \(-0.0867578\pi\)
\(68\) −731.612 + 225.672i −1.30472 + 0.402453i
\(69\) 341.367 + 51.4528i 0.595591 + 0.0897709i
\(70\) 527.365 661.295i 0.900459 1.12914i
\(71\) −537.961 366.776i −0.899215 0.613075i 0.0230068 0.999735i \(-0.492676\pi\)
−0.922222 + 0.386661i \(0.873628\pi\)
\(72\) −3.28832 + 3.05112i −0.00538240 + 0.00499414i
\(73\) −385.130 + 981.295i −0.617480 + 1.57331i 0.188952 + 0.981986i \(0.439491\pi\)
−0.806432 + 0.591327i \(0.798604\pi\)
\(74\) −1117.62 344.741i −1.75569 0.541559i
\(75\) −321.457 154.806i −0.494916 0.238339i
\(76\) 18.1922 + 46.3530i 0.0274578 + 0.0699613i
\(77\) 72.5287 + 967.828i 0.107343 + 1.43239i
\(78\) −155.259 194.689i −0.225380 0.282617i
\(79\) 431.319 + 747.067i 0.614269 + 1.06394i 0.990512 + 0.137424i \(0.0438822\pi\)
−0.376244 + 0.926521i \(0.622784\pi\)
\(80\) −258.318 + 447.420i −0.361010 + 0.625288i
\(81\) 815.391 122.900i 1.11851 0.168588i
\(82\) 769.675 370.656i 1.03654 0.499172i
\(83\) 389.475 + 361.380i 0.515065 + 0.477911i 0.894349 0.447370i \(-0.147639\pi\)
−0.379284 + 0.925280i \(0.623830\pi\)
\(84\) 262.070 + 1148.20i 0.340407 + 1.49142i
\(85\) 774.291 0.988043
\(86\) 728.144 + 848.801i 0.912998 + 1.06429i
\(87\) −1421.18 −1.75134
\(88\) −8.47263 37.1210i −0.0102635 0.0449672i
\(89\) 793.386 + 736.155i 0.944930 + 0.876767i 0.992518 0.122100i \(-0.0389628\pi\)
−0.0475876 + 0.998867i \(0.515153\pi\)
\(90\) −117.090 + 56.3875i −0.137137 + 0.0660418i
\(91\) 303.253 45.7080i 0.349335 0.0526538i
\(92\) −238.913 + 413.810i −0.270744 + 0.468942i
\(93\) 113.136 + 195.957i 0.126147 + 0.218492i
\(94\) −846.333 1061.27i −0.928644 1.16448i
\(95\) −3.76331 50.2179i −0.00406429 0.0542342i
\(96\) −517.331 1318.14i −0.549999 1.40137i
\(97\) −487.771 234.898i −0.510574 0.245879i 0.160815 0.986985i \(-0.448588\pi\)
−0.671389 + 0.741105i \(0.734302\pi\)
\(98\) −1520.45 468.997i −1.56723 0.483427i
\(99\) 54.4804 138.814i 0.0553080 0.140922i
\(100\) 362.008 335.895i 0.362008 0.335895i
\(101\) 1231.94 + 839.920i 1.21369 + 0.827477i 0.989139 0.146986i \(-0.0469572\pi\)
0.224547 + 0.974463i \(0.427910\pi\)
\(102\) −1367.86 + 1715.25i −1.32783 + 1.66505i
\(103\) −1329.07 200.325i −1.27143 0.191637i −0.521556 0.853217i \(-0.674648\pi\)
−0.749875 + 0.661579i \(0.769886\pi\)
\(104\) −11.4969 + 3.54631i −0.0108400 + 0.00334370i
\(105\) 89.0080 1187.73i 0.0827265 1.10391i
\(106\) 1188.46 810.282i 1.08900 0.742467i
\(107\) 139.562 611.461i 0.126093 0.552450i −0.871932 0.489628i \(-0.837133\pi\)
0.998025 0.0628223i \(-0.0200101\pi\)
\(108\) −219.116 + 960.011i −0.195227 + 0.855343i
\(109\) −1626.61 + 1109.00i −1.42936 + 0.974523i −0.432006 + 0.901871i \(0.642194\pi\)
−0.997357 + 0.0726526i \(0.976854\pi\)
\(110\) 82.4352 1100.02i 0.0714535 0.953481i
\(111\) −1573.79 + 485.450i −1.34574 + 0.415107i
\(112\) 1782.67 + 268.694i 1.50398 + 0.226689i
\(113\) 548.045 687.227i 0.456246 0.572114i −0.499498 0.866315i \(-0.666482\pi\)
0.955743 + 0.294201i \(0.0950536\pi\)
\(114\) 117.893 + 80.3783i 0.0968572 + 0.0660361i
\(115\) 354.236 328.683i 0.287240 0.266520i
\(116\) 718.652 1831.10i 0.575217 1.46563i
\(117\) −45.0271 13.8890i −0.0355791 0.0109747i
\(118\) 1315.99 + 633.745i 1.02666 + 0.494415i
\(119\) −987.113 2515.12i −0.760407 1.93749i
\(120\) 3.49190 + 46.5962i 0.00265638 + 0.0354469i
\(121\) −40.6796 51.0106i −0.0305632 0.0383250i
\(122\) 1556.68 + 2696.24i 1.15520 + 2.00087i
\(123\) 601.477 1041.79i 0.440921 0.763698i
\(124\) −309.687 + 46.6778i −0.224280 + 0.0338047i
\(125\) −1330.40 + 640.686i −0.951956 + 0.458438i
\(126\) 332.436 + 308.456i 0.235046 + 0.218091i
\(127\) −13.3807 58.6248i −0.00934920 0.0409615i 0.970038 0.242953i \(-0.0781159\pi\)
−0.979387 + 0.201991i \(0.935259\pi\)
\(128\) −136.910 −0.0945411
\(129\) 1520.48 + 409.963i 1.03776 + 0.279808i
\(130\) −348.566 −0.235164
\(131\) −370.049 1621.29i −0.246804 1.08132i −0.934680 0.355491i \(-0.884314\pi\)
0.687875 0.725829i \(-0.258544\pi\)
\(132\) 1125.94 + 1044.72i 0.742429 + 0.688874i
\(133\) −158.325 + 76.2451i −0.103222 + 0.0497089i
\(134\) 1464.33 220.712i 0.944021 0.142288i
\(135\) 497.921 862.425i 0.317439 0.549820i
\(136\) 52.9995 + 91.7977i 0.0334167 + 0.0578793i
\(137\) 936.257 + 1174.03i 0.583867 + 0.732146i 0.982767 0.184848i \(-0.0591793\pi\)
−0.398900 + 0.916994i \(0.630608\pi\)
\(138\) 102.320 + 1365.37i 0.0631165 + 0.842232i
\(139\) 348.018 + 886.735i 0.212363 + 0.541093i 0.996873 0.0790242i \(-0.0251804\pi\)
−0.784510 + 0.620117i \(0.787085\pi\)
\(140\) 1485.30 + 715.282i 0.896647 + 0.431802i
\(141\) −1826.53 563.410i −1.09093 0.336508i
\(142\) 943.432 2403.83i 0.557543 1.42060i
\(143\) 293.192 272.043i 0.171454 0.159086i
\(144\) −228.866 156.038i −0.132446 0.0903000i
\(145\) −1240.33 + 1555.32i −0.710370 + 0.890776i
\(146\) −4134.25 623.139i −2.34352 0.353228i
\(147\) −2141.03 + 660.421i −1.20129 + 0.370549i
\(148\) 170.353 2273.20i 0.0946143 1.26254i
\(149\) 2880.84 1964.12i 1.58394 1.07991i 0.631425 0.775437i \(-0.282470\pi\)
0.952519 0.304478i \(-0.0984819\pi\)
\(150\) 314.884 1379.60i 0.171401 0.750958i
\(151\) −321.135 + 1406.98i −0.173070 + 0.758269i 0.811653 + 0.584140i \(0.198568\pi\)
−0.984723 + 0.174129i \(0.944289\pi\)
\(152\) 5.69610 3.88353i 0.00303957 0.00207234i
\(153\) −31.0235 + 413.980i −0.0163928 + 0.218747i
\(154\) −3678.28 + 1134.60i −1.92470 + 0.593692i
\(155\) 313.191 + 47.2060i 0.162298 + 0.0244624i
\(156\) 302.607 379.457i 0.155307 0.194749i
\(157\) 82.3598 + 56.1520i 0.0418664 + 0.0285440i 0.584072 0.811702i \(-0.301458\pi\)
−0.542206 + 0.840246i \(0.682411\pi\)
\(158\) −2508.02 + 2327.10i −1.26283 + 1.17173i
\(159\) 739.998 1885.48i 0.369092 0.940432i
\(160\) −1894.05 584.237i −0.935862 0.288675i
\(161\) −1519.26 731.636i −0.743691 0.358143i
\(162\) 1194.84 + 3044.40i 0.579477 + 1.47648i
\(163\) −52.3307 698.305i −0.0251464 0.335555i −0.995562 0.0941127i \(-0.969999\pi\)
0.970415 0.241442i \(-0.0776205\pi\)
\(164\) 1038.12 + 1301.76i 0.494291 + 0.619822i
\(165\) −776.673 1345.24i −0.366448 0.634707i
\(166\) −1053.61 + 1824.91i −0.492628 + 0.853257i
\(167\) 1475.83 222.446i 0.683852 0.103074i 0.202078 0.979369i \(-0.435231\pi\)
0.481774 + 0.876295i \(0.339992\pi\)
\(168\) 146.906 70.7463i 0.0674646 0.0324893i
\(169\) 1517.87 + 1408.38i 0.690883 + 0.641046i
\(170\) 683.348 + 2993.94i 0.308296 + 1.35073i
\(171\) 27.0002 0.0120746
\(172\) −1297.08 + 1751.73i −0.575006 + 0.776560i
\(173\) 455.479 0.200170 0.100085 0.994979i \(-0.468088\pi\)
0.100085 + 0.994979i \(0.468088\pi\)
\(174\) −1254.26 5495.27i −0.546466 2.39423i
\(175\) 1277.53 + 1185.37i 0.551840 + 0.512032i
\(176\) 2118.33 1020.13i 0.907245 0.436906i
\(177\) 2033.83 306.551i 0.863684 0.130179i
\(178\) −2146.28 + 3717.47i −0.903767 + 1.56537i
\(179\) 1900.10 + 3291.06i 0.793407 + 1.37422i 0.923846 + 0.382766i \(0.125028\pi\)
−0.130438 + 0.991456i \(0.541638\pi\)
\(180\) −157.929 198.036i −0.0653961 0.0820041i
\(181\) −198.039 2642.64i −0.0813265 1.08523i −0.877315 0.479915i \(-0.840668\pi\)
0.795989 0.605312i \(-0.206951\pi\)
\(182\) 444.373 + 1132.24i 0.180984 + 0.461140i
\(183\) 3949.93 + 1902.19i 1.59556 + 0.768381i
\(184\) 63.2147 + 19.4992i 0.0253275 + 0.00781249i
\(185\) −842.247 + 2146.01i −0.334720 + 0.852853i
\(186\) −657.857 + 610.402i −0.259335 + 0.240628i
\(187\) −2911.45 1984.99i −1.13854 0.776240i
\(188\) 1649.54 2068.46i 0.639921 0.802435i
\(189\) −3436.19 517.922i −1.32246 0.199329i
\(190\) 190.856 58.8712i 0.0728743 0.0224788i
\(191\) 206.127 2750.57i 0.0780880 1.04201i −0.811231 0.584725i \(-0.801202\pi\)
0.889319 0.457287i \(-0.151179\pi\)
\(192\) 2200.64 1500.37i 0.827174 0.563958i
\(193\) −234.281 + 1026.45i −0.0873779 + 0.382828i −0.999641 0.0267761i \(-0.991476\pi\)
0.912264 + 0.409604i \(0.134333\pi\)
\(194\) 477.798 2093.37i 0.176824 0.774717i
\(195\) −405.548 + 276.498i −0.148933 + 0.101541i
\(196\) 231.753 3092.53i 0.0844582 1.12702i
\(197\) −749.137 + 231.078i −0.270933 + 0.0835718i −0.427245 0.904136i \(-0.640516\pi\)
0.156312 + 0.987708i \(0.450040\pi\)
\(198\) 584.831 + 88.1491i 0.209910 + 0.0316388i
\(199\) −2397.89 + 3006.86i −0.854179 + 1.07111i 0.142509 + 0.989793i \(0.454483\pi\)
−0.996689 + 0.0813137i \(0.974088\pi\)
\(200\) −56.4903 38.5144i −0.0199723 0.0136169i
\(201\) 1528.63 1418.36i 0.536425 0.497729i
\(202\) −2160.47 + 5504.78i −0.752525 + 1.91740i
\(203\) 6633.39 + 2046.13i 2.29346 + 0.707439i
\(204\) −3852.52 1855.28i −1.32221 0.636742i
\(205\) −615.184 1567.46i −0.209592 0.534031i
\(206\) −398.372 5315.91i −0.134737 1.79794i
\(207\) 161.539 + 202.564i 0.0542404 + 0.0680153i
\(208\) −371.468 643.402i −0.123830 0.214480i
\(209\) −114.589 + 198.474i −0.0379249 + 0.0656878i
\(210\) 4671.13 704.059i 1.53495 0.231356i
\(211\) 1933.43 931.092i 0.630820 0.303787i −0.0910179 0.995849i \(-0.529012\pi\)
0.721838 + 0.692063i \(0.243298\pi\)
\(212\) 2055.12 + 1906.87i 0.665784 + 0.617758i
\(213\) −809.160 3545.16i −0.260295 1.14042i
\(214\) 2487.50 0.794588
\(215\) 1775.65 1306.20i 0.563249 0.414337i
\(216\) 136.329 0.0429445
\(217\) −245.936 1077.52i −0.0769366 0.337081i
\(218\) −5723.72 5310.83i −1.77825 1.64998i
\(219\) −5304.40 + 2554.47i −1.63670 + 0.788195i
\(220\) 2125.99 320.441i 0.651519 0.0982007i
\(221\) −556.726 + 964.278i −0.169455 + 0.293504i
\(222\) −3266.03 5656.93i −0.987394 1.71022i
\(223\) −2367.44 2968.68i −0.710922 0.891469i 0.286864 0.957971i \(-0.407387\pi\)
−0.997786 + 0.0665028i \(0.978816\pi\)
\(224\) 516.877 + 6897.25i 0.154175 + 2.05733i
\(225\) −97.8276 249.261i −0.0289859 0.0738550i
\(226\) 3140.97 + 1512.61i 0.924487 + 0.445209i
\(227\) −3463.96 1068.49i −1.01282 0.312415i −0.256453 0.966557i \(-0.582554\pi\)
−0.756372 + 0.654142i \(0.773030\pi\)
\(228\) −101.602 + 258.879i −0.0295122 + 0.0751959i
\(229\) 2216.94 2057.02i 0.639736 0.593588i −0.292136 0.956377i \(-0.594366\pi\)
0.931871 + 0.362789i \(0.118175\pi\)
\(230\) 1583.54 + 1079.64i 0.453981 + 0.309519i
\(231\) −3379.57 + 4237.85i −0.962596 + 1.20706i
\(232\) −269.294 40.5895i −0.0762070 0.0114864i
\(233\) 2035.97 628.013i 0.572450 0.176577i 0.00500306 0.999987i \(-0.498407\pi\)
0.567447 + 0.823410i \(0.307931\pi\)
\(234\) 13.9660 186.363i 0.00390165 0.0520639i
\(235\) −2210.68 + 1507.22i −0.613655 + 0.418383i
\(236\) −633.482 + 2775.47i −0.174729 + 0.765540i
\(237\) −1072.06 + 4696.99i −0.293829 + 1.28735i
\(238\) 8854.02 6036.57i 2.41143 1.64409i
\(239\) 8.13583 108.565i 0.00220194 0.0293828i −0.995995 0.0894134i \(-0.971501\pi\)
0.998197 + 0.0600306i \(0.0191198\pi\)
\(240\) −2757.19 + 850.480i −0.741565 + 0.228743i
\(241\) −954.629 143.887i −0.255158 0.0384589i 0.0202177 0.999796i \(-0.493564\pi\)
−0.275375 + 0.961337i \(0.588802\pi\)
\(242\) 161.340 202.314i 0.0428568 0.0537408i
\(243\) 963.373 + 656.817i 0.254323 + 0.173394i
\(244\) −4448.21 + 4127.33i −1.16708 + 1.08289i
\(245\) −1145.82 + 2919.50i −0.298790 + 0.761306i
\(246\) 4559.10 + 1406.30i 1.18162 + 0.364480i
\(247\) 65.2457 + 31.4207i 0.0168076 + 0.00809413i
\(248\) 15.8410 + 40.3623i 0.00405607 + 0.0103347i
\(249\) 221.747 + 2959.01i 0.0564364 + 0.753091i
\(250\) −3651.47 4578.80i −0.923757 1.15836i
\(251\) −1881.14 3258.23i −0.473054 0.819353i 0.526471 0.850193i \(-0.323515\pi\)
−0.999524 + 0.0308405i \(0.990182\pi\)
\(252\) −441.942 + 765.466i −0.110475 + 0.191349i
\(253\) −2174.60 + 327.768i −0.540378 + 0.0814489i
\(254\) 214.875 103.478i 0.0530805 0.0255622i
\(255\) 3169.98 + 2941.31i 0.778479 + 0.722323i
\(256\) −969.787 4248.92i −0.236764 1.03733i
\(257\) −431.776 −0.104799 −0.0523997 0.998626i \(-0.516687\pi\)
−0.0523997 + 0.998626i \(0.516687\pi\)
\(258\) −243.301 + 6241.05i −0.0587102 + 1.50601i
\(259\) 8044.61 1.92999
\(260\) −151.174 662.338i −0.0360594 0.157986i
\(261\) −781.869 725.468i −0.185427 0.172051i
\(262\) 5942.44 2861.73i 1.40124 0.674802i
\(263\) 3224.73 486.049i 0.756065 0.113959i 0.240312 0.970696i \(-0.422750\pi\)
0.515753 + 0.856737i \(0.327512\pi\)
\(264\) 106.325 184.160i 0.0247873 0.0429329i
\(265\) −1417.62 2455.39i −0.328618 0.569183i
\(266\) −434.545 544.902i −0.100164 0.125602i
\(267\) 451.714 + 6027.70i 0.103537 + 1.38161i
\(268\) 1054.48 + 2686.76i 0.240345 + 0.612389i
\(269\) −4790.48 2306.97i −1.08580 0.522894i −0.196634 0.980477i \(-0.563001\pi\)
−0.889167 + 0.457582i \(0.848715\pi\)
\(270\) 3774.17 + 1164.18i 0.850698 + 0.262406i
\(271\) 90.8713 231.536i 0.0203691 0.0518997i −0.920327 0.391149i \(-0.872078\pi\)
0.940697 + 0.339249i \(0.110173\pi\)
\(272\) −4798.13 + 4452.02i −1.06959 + 0.992438i
\(273\) 1415.16 + 964.841i 0.313735 + 0.213901i
\(274\) −3713.31 + 4656.35i −0.818720 + 1.02664i
\(275\) 2247.46 + 338.750i 0.492826 + 0.0742815i
\(276\) −2550.07 + 786.592i −0.556145 + 0.171548i
\(277\) −146.886 + 1960.06i −0.0318612 + 0.425158i 0.958352 + 0.285591i \(0.0921900\pi\)
−0.990213 + 0.139567i \(0.955429\pi\)
\(278\) −3121.58 + 2128.26i −0.673454 + 0.459153i
\(279\) −37.7877 + 165.559i −0.00810856 + 0.0355259i
\(280\) 50.7877 222.516i 0.0108398 0.0474923i
\(281\) −16.5060 + 11.2536i −0.00350415 + 0.00238909i −0.565071 0.825042i \(-0.691151\pi\)
0.561567 + 0.827431i \(0.310199\pi\)
\(282\) 566.533 7559.86i 0.119633 1.59639i
\(283\) −1393.96 + 429.979i −0.292799 + 0.0903165i −0.437675 0.899133i \(-0.644198\pi\)
0.144876 + 0.989450i \(0.453722\pi\)
\(284\) 4976.87 + 750.142i 1.03987 + 0.156735i
\(285\) 175.357 219.890i 0.0364464 0.0457023i
\(286\) 1310.66 + 893.593i 0.270982 + 0.184753i
\(287\) −4307.30 + 3996.59i −0.885895 + 0.821991i
\(288\) 388.256 989.259i 0.0794381 0.202405i
\(289\) 4679.19 + 1443.34i 0.952409 + 0.293779i
\(290\) −7108.60 3423.32i −1.43942 0.693187i
\(291\) −1104.65 2814.59i −0.222527 0.566990i
\(292\) −608.965 8126.08i −0.122045 1.62857i
\(293\) −542.213 679.913i −0.108111 0.135566i 0.724832 0.688925i \(-0.241917\pi\)
−0.832943 + 0.553359i \(0.813346\pi\)
\(294\) −4443.20 7695.85i −0.881404 1.52664i
\(295\) 1439.53 2493.34i 0.284111 0.492094i
\(296\) −312.076 + 47.0379i −0.0612805 + 0.00923656i
\(297\) −4083.19 + 1966.36i −0.797747 + 0.384175i
\(298\) 10137.1 + 9405.88i 1.97056 + 1.82842i
\(299\) 154.631 + 677.481i 0.0299081 + 0.131036i
\(300\) 2758.05 0.530787
\(301\) −6506.64 4102.60i −1.24597 0.785615i
\(302\) −5723.78 −1.09062
\(303\) 1852.98 + 8118.45i 0.351324 + 1.53925i
\(304\) 312.063 + 289.552i 0.0588752 + 0.0546282i
\(305\) 5529.01 2662.63i 1.03800 0.499875i
\(306\) −1628.11 + 245.398i −0.304160 + 0.0458448i
\(307\) 1306.52 2262.95i 0.242889 0.420696i −0.718647 0.695375i \(-0.755238\pi\)
0.961536 + 0.274679i \(0.0885716\pi\)
\(308\) −3751.22 6497.31i −0.693980 1.20201i
\(309\) −4680.30 5868.92i −0.861661 1.08049i
\(310\) 93.8750 + 1252.67i 0.0171992 + 0.229507i
\(311\) 198.900 + 506.789i 0.0362656 + 0.0924031i 0.947859 0.318689i \(-0.103243\pi\)
−0.911594 + 0.411092i \(0.865147\pi\)
\(312\) −60.5402 29.1546i −0.0109853 0.00529024i
\(313\) 1680.74 + 518.440i 0.303518 + 0.0936228i 0.442773 0.896634i \(-0.353995\pi\)
−0.139255 + 0.990256i \(0.544471\pi\)
\(314\) −144.436 + 368.016i −0.0259585 + 0.0661413i
\(315\) 655.265 607.997i 0.117206 0.108752i
\(316\) −5509.64 3756.41i −0.980827 0.668717i
\(317\) 2420.74 3035.51i 0.428902 0.537827i −0.519678 0.854362i \(-0.673948\pi\)
0.948581 + 0.316535i \(0.102520\pi\)
\(318\) 7943.66 + 1197.31i 1.40081 + 0.211139i
\(319\) 8651.08 2668.51i 1.51839 0.468363i
\(320\) 278.610 3717.79i 0.0486711 0.649471i
\(321\) 2894.14 1973.19i 0.503225 0.343093i
\(322\) 1488.19 6520.19i 0.257558 1.12844i
\(323\) 141.971 622.014i 0.0244565 0.107151i
\(324\) −5266.69 + 3590.77i −0.903068 + 0.615702i
\(325\) 53.6703 716.181i 0.00916029 0.122236i
\(326\) 2653.94 818.633i 0.450884 0.139079i
\(327\) −10872.2 1638.72i −1.83863 0.277129i
\(328\) 143.725 180.226i 0.0241948 0.0303393i
\(329\) 7714.19 + 5259.45i 1.29270 + 0.881346i
\(330\) 4516.16 4190.39i 0.753354 0.699010i
\(331\) 340.441 867.428i 0.0565326 0.144043i −0.899817 0.436267i \(-0.856300\pi\)
0.956350 + 0.292225i \(0.0943954\pi\)
\(332\) −3924.61 1210.58i −0.648768 0.200119i
\(333\) −1113.63 536.298i −0.183264 0.0882551i
\(334\) 2162.62 + 5510.26i 0.354291 + 0.902719i
\(335\) −218.133 2910.78i −0.0355758 0.474726i
\(336\) 6277.63 + 7871.90i 1.01926 + 1.27812i
\(337\) −615.632 1066.31i −0.0995122 0.172360i 0.811971 0.583698i \(-0.198395\pi\)
−0.911483 + 0.411338i \(0.865062\pi\)
\(338\) −4106.17 + 7112.09i −0.660787 + 1.14452i
\(339\) 4854.30 731.668i 0.777727 0.117224i
\(340\) −5392.65 + 2596.97i −0.860170 + 0.414236i
\(341\) −1056.63 980.406i −0.167799 0.155695i
\(342\) 23.8289 + 104.401i 0.00376760 + 0.0165069i
\(343\) 1587.19 0.249855
\(344\) 276.401 + 121.108i 0.0433214 + 0.0189817i
\(345\) 2698.83 0.421160
\(346\) 401.982 + 1761.20i 0.0624586 + 0.273649i
\(347\) 1933.39 + 1793.92i 0.299106 + 0.277530i 0.815420 0.578869i \(-0.196506\pi\)
−0.516314 + 0.856399i \(0.672696\pi\)
\(348\) 9898.02 4766.63i 1.52468 0.734248i
\(349\) 1720.38 259.305i 0.263867 0.0397716i −0.0157762 0.999876i \(-0.505022\pi\)
0.279643 + 0.960104i \(0.409784\pi\)
\(350\) −3455.98 + 5985.94i −0.527800 + 0.914177i
\(351\) 716.025 + 1240.19i 0.108885 + 0.188594i
\(352\) 5624.14 + 7052.45i 0.851613 + 1.06789i
\(353\) −71.3322 951.862i −0.0107553 0.143520i 0.989241 0.146296i \(-0.0467353\pi\)
−0.999996 + 0.00277644i \(0.999116\pi\)
\(354\) 2980.28 + 7593.64i 0.447459 + 1.14011i
\(355\) −4585.97 2208.49i −0.685628 0.330181i
\(356\) −7994.70 2466.04i −1.19022 0.367134i
\(357\) 5512.96 14046.8i 0.817302 2.08245i
\(358\) −11048.6 + 10251.6i −1.63111 + 1.51345i
\(359\) −3325.86 2267.54i −0.488948 0.333359i 0.293622 0.955922i \(-0.405139\pi\)
−0.782570 + 0.622562i \(0.786092\pi\)
\(360\) −21.8648 + 27.4176i −0.00320104 + 0.00401398i
\(361\) 6741.36 + 1016.10i 0.982849 + 0.148141i
\(362\) 10043.5 3098.01i 1.45822 0.449800i
\(363\) 27.2308 363.370i 0.00393732 0.0525399i
\(364\) −1958.74 + 1335.45i −0.282049 + 0.192298i
\(365\) −1833.81 + 8034.46i −0.262976 + 1.15217i
\(366\) −3869.16 + 16951.9i −0.552581 + 2.42101i
\(367\) −8400.35 + 5727.26i −1.19481 + 0.814606i −0.986549 0.163467i \(-0.947732\pi\)
−0.208259 + 0.978074i \(0.566780\pi\)
\(368\) −305.271 + 4073.56i −0.0432429 + 0.577036i
\(369\) 862.704 266.109i 0.121709 0.0375422i
\(370\) −9041.28 1362.75i −1.27036 0.191476i
\(371\) −6168.55 + 7735.12i −0.863222 + 1.08245i
\(372\) −1445.19 985.312i −0.201423 0.137328i
\(373\) −6956.20 + 6454.41i −0.965626 + 0.895970i −0.994618 0.103610i \(-0.966961\pi\)
0.0289924 + 0.999580i \(0.490770\pi\)
\(374\) 5105.85 13009.5i 0.705929 1.79868i
\(375\) −7880.50 2430.81i −1.08519 0.334738i
\(376\) −330.010 158.925i −0.0452633 0.0217976i
\(377\) −1045.14 2662.97i −0.142778 0.363792i
\(378\) −1029.95 13743.8i −0.140146 1.87011i
\(379\) −4810.68 6032.41i −0.652001 0.817583i 0.340445 0.940264i \(-0.389422\pi\)
−0.992446 + 0.122681i \(0.960851\pi\)
\(380\) 194.640 + 337.127i 0.0262759 + 0.0455112i
\(381\) 167.918 290.842i 0.0225793 0.0391084i
\(382\) 10817.5 1630.48i 1.44888 0.218384i
\(383\) 2052.71 988.532i 0.273860 0.131884i −0.291913 0.956445i \(-0.594292\pi\)
0.565774 + 0.824561i \(0.308578\pi\)
\(384\) −560.516 520.083i −0.0744889 0.0691156i
\(385\) 1688.34 + 7397.12i 0.223496 + 0.979200i
\(386\) −4175.74 −0.550621
\(387\) 627.227 + 1001.70i 0.0823869 + 0.131574i
\(388\) 4185.00 0.547580
\(389\) −2695.25 11808.7i −0.351298 1.53914i −0.774188 0.632955i \(-0.781842\pi\)
0.422890 0.906181i \(-0.361016\pi\)
\(390\) −1427.05 1324.11i −0.185285 0.171920i
\(391\) 5515.95 2656.34i 0.713436 0.343573i
\(392\) −424.557 + 63.9917i −0.0547025 + 0.00824508i
\(393\) 4643.83 8043.35i 0.596057 1.03240i
\(394\) −1554.66 2692.74i −0.198788 0.344311i
\(395\) 4204.69 + 5272.51i 0.535597 + 0.671618i
\(396\) 86.1442 + 1149.51i 0.0109316 + 0.145872i
\(397\) −4085.96 10410.9i −0.516545 1.31614i −0.916659 0.399671i \(-0.869124\pi\)
0.400113 0.916466i \(-0.368971\pi\)
\(398\) −13742.8 6618.19i −1.73082 0.833517i
\(399\) −937.822 289.280i −0.117669 0.0362960i
\(400\) 1542.42 3930.02i 0.192803 0.491253i
\(401\) −10060.1 + 9334.45i −1.25282 + 1.16244i −0.273115 + 0.961981i \(0.588054\pi\)
−0.979701 + 0.200462i \(0.935756\pi\)
\(402\) 6833.45 + 4658.97i 0.847815 + 0.578031i
\(403\) −283.978 + 356.097i −0.0351016 + 0.0440160i
\(404\) −11397.1 1717.83i −1.40353 0.211548i
\(405\) 6160.04 1900.12i 0.755790 0.233130i
\(406\) −2057.47 + 27455.0i −0.251504 + 3.35609i
\(407\) 8668.54 5910.11i 1.05573 0.719787i
\(408\) −131.732 + 577.154i −0.0159845 + 0.0700328i
\(409\) −1162.41 + 5092.86i −0.140532 + 0.615711i 0.854780 + 0.518991i \(0.173692\pi\)
−0.995312 + 0.0967199i \(0.969165\pi\)
\(410\) 5517.96 3762.08i 0.664665 0.453161i
\(411\) −626.728 + 8363.10i −0.0752171 + 1.00370i
\(412\) 9928.39 3062.50i 1.18723 0.366211i
\(413\) −9934.28 1497.35i −1.18362 0.178402i
\(414\) −640.686 + 803.394i −0.0760579 + 0.0953736i
\(415\) 3431.83 + 2339.78i 0.405932 + 0.276760i
\(416\) 2089.44 1938.72i 0.246258 0.228494i
\(417\) −1943.66 + 4952.35i −0.228252 + 0.581578i
\(418\) −868.569 267.918i −0.101634 0.0313500i
\(419\) 14578.2 + 7020.51i 1.69975 + 0.818555i 0.993912 + 0.110178i \(0.0351421\pi\)
0.705835 + 0.708377i \(0.250572\pi\)
\(420\) 3363.72 + 8570.63i 0.390793 + 0.995723i
\(421\) −53.7201 716.845i −0.00621890 0.0829854i 0.993231 0.116158i \(-0.0370579\pi\)
−0.999450 + 0.0331727i \(0.989439\pi\)
\(422\) 5306.58 + 6654.25i 0.612134 + 0.767591i
\(423\) −717.270 1242.35i −0.0824464 0.142801i
\(424\) 194.069 336.138i 0.0222284 0.0385007i
\(425\) −6256.71 + 943.048i −0.714106 + 0.107634i
\(426\) 12993.9 6257.54i 1.47783 0.711687i
\(427\) −15697.7 14565.3i −1.77908 1.65074i
\(428\) 1078.84 + 4726.69i 0.121840 + 0.533816i
\(429\) 2233.76 0.251391
\(430\) 6617.78 + 5713.10i 0.742181 + 0.640722i
\(431\) 3806.82 0.425448 0.212724 0.977112i \(-0.431767\pi\)
0.212724 + 0.977112i \(0.431767\pi\)
\(432\) 1873.25 + 8207.23i 0.208626 + 0.914052i
\(433\) −2669.77 2477.18i −0.296307 0.274933i 0.517983 0.855391i \(-0.326683\pi\)
−0.814290 + 0.580458i \(0.802873\pi\)
\(434\) 3949.37 1901.92i 0.436811 0.210357i
\(435\) −10986.2 + 1655.90i −1.21091 + 0.182516i
\(436\) 7609.13 13179.4i 0.835806 1.44766i
\(437\) −199.091 344.835i −0.0217936 0.0377476i
\(438\) −14558.7 18256.0i −1.58822 1.99157i
\(439\) 1242.69 + 16582.5i 0.135103 + 1.80282i 0.494015 + 0.869453i \(0.335529\pi\)
−0.358912 + 0.933371i \(0.616852\pi\)
\(440\) −108.748 277.086i −0.0117826 0.0300217i
\(441\) −1515.02 729.596i −0.163592 0.0787815i
\(442\) −4219.90 1301.67i −0.454118 0.140077i
\(443\) 2682.08 6833.84i 0.287652 0.732924i −0.711879 0.702302i \(-0.752156\pi\)
0.999531 0.0306226i \(-0.00974901\pi\)
\(444\) 9332.69 8659.47i 0.997544 0.925586i
\(445\) 6990.87 + 4766.30i 0.744717 + 0.507739i
\(446\) 9389.58 11774.2i 0.996882 1.25005i
\(447\) 19255.5 + 2902.29i 2.03748 + 0.307100i
\(448\) −12431.6 + 3834.65i −1.31103 + 0.404398i
\(449\) 694.320 9265.06i 0.0729777 0.973820i −0.833760 0.552126i \(-0.813817\pi\)
0.906738 0.421694i \(-0.138564\pi\)
\(450\) 877.475 598.253i 0.0919213 0.0626709i
\(451\) −1705.21 + 7470.99i −0.178038 + 0.780034i
\(452\) −1511.98 + 6624.42i −0.157340 + 0.689351i
\(453\) −6659.47 + 4540.35i −0.690705 + 0.470915i
\(454\) 1074.41 14337.1i 0.111068 1.48210i
\(455\) 2290.98 706.675i 0.236051 0.0728120i
\(456\) 38.0725 + 5.73851i 0.00390989 + 0.000589321i
\(457\) 11130.0 13956.6i 1.13926 1.42858i 0.251750 0.967792i \(-0.418994\pi\)
0.887508 0.460792i \(-0.152435\pi\)
\(458\) 9910.40 + 6756.80i 1.01110 + 0.689355i
\(459\) 9248.65 8581.50i 0.940501 0.872658i
\(460\) −1364.72 + 3477.26i −0.138327 + 0.352452i
\(461\) 6746.91 + 2081.15i 0.681637 + 0.210257i 0.616189 0.787599i \(-0.288676\pi\)
0.0654488 + 0.997856i \(0.479152\pi\)
\(462\) −19369.1 9327.65i −1.95050 0.939311i
\(463\) −3457.98 8810.79i −0.347097 0.884389i −0.992688 0.120706i \(-0.961484\pi\)
0.645591 0.763683i \(-0.276611\pi\)
\(464\) −1256.71 16769.7i −0.125736 1.67783i
\(465\) 1102.90 + 1382.99i 0.109991 + 0.137924i
\(466\) 4225.17 + 7318.21i 0.420015 + 0.727488i
\(467\) −4205.71 + 7284.50i −0.416739 + 0.721813i −0.995609 0.0936067i \(-0.970160\pi\)
0.578870 + 0.815420i \(0.303494\pi\)
\(468\) 360.181 54.2885i 0.0355756 0.00536216i
\(469\) −9176.98 + 4419.40i −0.903525 + 0.435115i
\(470\) −7778.97 7217.83i −0.763441 0.708370i
\(471\) 123.879 + 542.751i 0.0121190 + 0.0530969i
\(472\) 394.137 0.0384357
\(473\) −10025.3 + 359.418i −0.974556 + 0.0349388i
\(474\) −19107.9 −1.85160
\(475\) 91.5726 + 401.206i 0.00884555 + 0.0387549i
\(476\) 15310.6 + 14206.1i 1.47428 + 1.36794i
\(477\) 1369.59 659.561i 0.131466 0.0633107i
\(478\) 426.968 64.3550i 0.0408557 0.00615801i
\(479\) −5172.91 + 8959.75i −0.493437 + 0.854658i −0.999971 0.00756161i \(-0.997593\pi\)
0.506534 + 0.862220i \(0.330926\pi\)
\(480\) −5534.98 9586.86i −0.526325 0.911622i
\(481\) −2066.99 2591.92i −0.195939 0.245699i
\(482\) −286.137 3818.24i −0.0270398 0.360821i
\(483\) −3440.63 8766.58i −0.324128 0.825866i
\(484\) 454.408 + 218.831i 0.0426754 + 0.0205514i
\(485\) −4044.32 1247.51i −0.378646 0.116797i
\(486\) −1689.48 + 4304.73i −0.157688 + 0.401783i
\(487\) −8525.98 + 7910.95i −0.793325 + 0.736098i −0.968654 0.248412i \(-0.920091\pi\)
0.175330 + 0.984510i \(0.443901\pi\)
\(488\) 694.129 + 473.249i 0.0643888 + 0.0438995i
\(489\) 2438.42 3057.68i 0.225499 0.282767i
\(490\) −12300.0 1853.93i −1.13400 0.170923i
\(491\) −1809.30 + 558.097i −0.166299 + 0.0512964i −0.376787 0.926300i \(-0.622971\pi\)
0.210488 + 0.977597i \(0.432495\pi\)
\(492\) −694.917 + 9273.02i −0.0636774 + 0.849716i
\(493\) −20824.1 + 14197.6i −1.90237 + 1.29702i
\(494\) −63.9116 + 280.015i −0.00582089 + 0.0255030i
\(495\) 259.411 1136.55i 0.0235549 0.103201i
\(496\) −2212.21 + 1508.26i −0.200265 + 0.136538i
\(497\) −1327.34 + 17712.1i −0.119797 + 1.59858i
\(498\) −11245.9 + 3468.89i −1.01193 + 0.312138i
\(499\) 3811.74 + 574.527i 0.341958 + 0.0515418i 0.317776 0.948166i \(-0.397064\pi\)
0.0241815 + 0.999708i \(0.492302\pi\)
\(500\) 7116.88 8924.29i 0.636553 0.798213i
\(501\) 6887.13 + 4695.57i 0.614161 + 0.418728i
\(502\) 10938.4 10149.3i 0.972516 0.902363i
\(503\) 6746.75 17190.4i 0.598057 1.52382i −0.235777 0.971807i \(-0.575763\pi\)
0.833833 0.552016i \(-0.186141\pi\)
\(504\) 116.935 + 36.0696i 0.0103347 + 0.00318783i
\(505\) 10501.9 + 5057.45i 0.925404 + 0.445651i
\(506\) −3186.56 8119.21i −0.279960 0.713326i
\(507\) 864.198 + 11531.9i 0.0757010 + 1.01016i
\(508\) 289.819 + 363.422i 0.0253123 + 0.0317406i
\(509\) 1092.92 + 1892.99i 0.0951722 + 0.164843i 0.909680 0.415309i \(-0.136327\pi\)
−0.814508 + 0.580152i \(0.802993\pi\)
\(510\) −8575.49 + 14853.2i −0.744567 + 1.28963i
\(511\) 28436.1 4286.06i 2.46172 0.371045i
\(512\) 14586.5 7024.50i 1.25906 0.606332i
\(513\) −601.518 558.127i −0.0517694 0.0480349i
\(514\) −381.062 1669.54i −0.0327003 0.143269i
\(515\) −10507.6 −0.899066
\(516\) −11964.6 + 2244.45i −1.02076 + 0.191485i
\(517\) 12176.4 1.03582
\(518\) 7099.74 + 31106.0i 0.602210 + 2.63845i
\(519\) 1864.75 + 1730.24i 0.157714 + 0.146337i
\(520\) −84.7425 + 40.8098i −0.00714655 + 0.00344160i
\(521\) 4427.44 667.329i 0.372303 0.0561156i 0.0397738 0.999209i \(-0.487336\pi\)
0.332529 + 0.943093i \(0.392098\pi\)
\(522\) 2115.12 3663.50i 0.177349 0.307178i
\(523\) −3154.88 5464.41i −0.263773 0.456868i 0.703469 0.710726i \(-0.251634\pi\)
−0.967241 + 0.253858i \(0.918300\pi\)
\(524\) 8015.05 + 10050.6i 0.668205 + 0.837902i
\(525\) 727.359 + 9705.93i 0.0604658 + 0.806860i
\(526\) 4725.37 + 12040.1i 0.391703 + 0.998044i
\(527\) 3615.35 + 1741.06i 0.298837 + 0.143912i
\(528\) 12547.7 + 3870.46i 1.03422 + 0.319016i
\(529\) −3049.18 + 7769.18i −0.250611 + 0.638545i
\(530\) 8243.11 7648.49i 0.675581 0.626848i
\(531\) 1275.40 + 869.555i 0.104233 + 0.0710649i
\(532\) 846.947 1062.04i 0.0690222 0.0865511i
\(533\) 2394.40 + 360.897i 0.194583 + 0.0293287i
\(534\) −22908.6 + 7066.36i −1.85646 + 0.572643i
\(535\) 366.410 4889.40i 0.0296099 0.395116i
\(536\) 330.163 225.101i 0.0266061 0.0181397i
\(537\) −4722.75 + 20691.7i −0.379519 + 1.66278i
\(538\) 4692.52 20559.3i 0.376039 1.64754i
\(539\) 11792.9 8040.29i 0.942408 0.642523i
\(540\) −575.274 + 7676.50i −0.0458442 + 0.611748i
\(541\) −5458.48 + 1683.72i −0.433787 + 0.133805i −0.503955 0.863730i \(-0.668122\pi\)
0.0701688 + 0.997535i \(0.477646\pi\)
\(542\) 975.476 + 147.029i 0.0773068 + 0.0116521i
\(543\) 9227.87 11571.4i 0.729293 0.914504i
\(544\) −20748.5 14146.1i −1.63526 1.11490i
\(545\) −11282.0 + 10468.2i −0.886732 + 0.822767i
\(546\) −2481.79 + 6323.51i −0.194526 + 0.495643i
\(547\) −17862.3 5509.79i −1.39623 0.430680i −0.496845 0.867839i \(-0.665508\pi\)
−0.899384 + 0.437160i \(0.855984\pi\)
\(548\) −10458.4 5036.48i −0.815254 0.392606i
\(549\) 1202.06 + 3062.81i 0.0934478 + 0.238101i
\(550\) 673.647 + 8989.20i 0.0522262 + 0.696910i
\(551\) 1022.02 + 1281.58i 0.0790192 + 0.0990870i
\(552\) 184.732 + 319.965i 0.0142441 + 0.0246714i
\(553\) 11766.3 20379.8i 0.904797 1.56715i
\(554\) −7708.58 + 1161.88i −0.591167 + 0.0891040i
\(555\) −11600.3 + 5586.41i −0.887216 + 0.427261i
\(556\) −5397.92 5008.53i −0.411731 0.382031i
\(557\) −1017.11 4456.26i −0.0773725 0.338991i 0.921395 0.388628i \(-0.127051\pi\)
−0.998767 + 0.0496368i \(0.984194\pi\)
\(558\) −673.513 −0.0510969
\(559\) 349.988 + 3150.52i 0.0264811 + 0.238377i
\(560\) 14093.7 1.06351
\(561\) −4379.18 19186.4i −0.329570 1.44394i
\(562\) −58.0815 53.8918i −0.00435947 0.00404499i
\(563\) −16901.4 + 8139.31i −1.26521 + 0.609291i −0.941547 0.336883i \(-0.890627\pi\)
−0.323659 + 0.946174i \(0.604913\pi\)
\(564\) 14610.8 2202.22i 1.09082 0.164415i
\(565\) 3435.84 5951.04i 0.255835 0.443119i
\(566\) −2892.82 5010.52i −0.214831 0.372098i
\(567\) −14025.3 17587.2i −1.03882 1.30263i
\(568\) −52.0732 694.868i −0.00384673 0.0513310i
\(569\) 9080.02 + 23135.5i 0.668988 + 1.70455i 0.708859 + 0.705350i \(0.249210\pi\)
−0.0398711 + 0.999205i \(0.512695\pi\)
\(570\) 1005.01 + 483.986i 0.0738511 + 0.0355648i
\(571\) 15090.6 + 4654.84i 1.10599 + 0.341154i 0.793380 0.608727i \(-0.208319\pi\)
0.312614 + 0.949880i \(0.398796\pi\)
\(572\) −1129.55 + 2878.04i −0.0825678 + 0.210379i
\(573\) 11292.5 10477.9i 0.823303 0.763913i
\(574\) −19255.0 13127.8i −1.40015 0.954607i
\(575\) −2462.11 + 3087.38i −0.178569 + 0.223918i
\(576\) 1976.58 + 297.921i 0.142982 + 0.0215510i
\(577\) 24297.5 7494.80i 1.75307 0.540750i 0.759154 0.650911i \(-0.225613\pi\)
0.993914 + 0.110161i \(0.0351366\pi\)
\(578\) −1451.34 + 19366.8i −0.104442 + 1.39369i
\(579\) −4858.37 + 3312.38i −0.348717 + 0.237751i
\(580\) 3421.90 14992.3i 0.244977 1.07331i
\(581\) 3225.19 14130.5i 0.230298 1.00900i
\(582\) 9908.24 6755.32i 0.705687 0.481129i
\(583\) −964.239 + 12866.9i −0.0684986 + 0.914050i
\(584\) −1078.07 + 332.539i −0.0763881 + 0.0235626i
\(585\) −364.257 54.9029i −0.0257439 0.00388027i
\(586\) 2150.48 2696.62i 0.151597 0.190096i
\(587\) 6439.34 + 4390.26i 0.452777 + 0.308698i 0.768150 0.640270i \(-0.221177\pi\)
−0.315374 + 0.948968i \(0.602130\pi\)
\(588\) 12696.5 11780.6i 0.890465 0.826231i
\(589\) 95.3475 242.942i 0.00667016 0.0169953i
\(590\) 10911.4 + 3365.72i 0.761382 + 0.234855i
\(591\) −3944.80 1899.72i −0.274564 0.132223i
\(592\) −7119.88 18141.2i −0.494300 1.25945i
\(593\) 141.136 + 1883.33i 0.00977361 + 0.130420i 0.999956 0.00936028i \(-0.00297951\pi\)
−0.990183 + 0.139780i \(0.955360\pi\)
\(594\) −11206.9 14053.0i −0.774116 0.970711i
\(595\) −10561.2 18292.6i −0.727677 1.26037i
\(596\) −13476.3 + 23341.7i −0.926196 + 1.60422i
\(597\) −21239.3 + 3201.30i −1.45606 + 0.219465i
\(598\) −2483.14 + 1195.82i −0.169805 + 0.0817736i
\(599\) −8863.99 8224.59i −0.604629 0.561014i 0.317323 0.948318i \(-0.397216\pi\)
−0.921952 + 0.387303i \(0.873407\pi\)
\(600\) −84.9683 372.271i −0.00578136 0.0253298i
\(601\) 18724.4 1.27086 0.635429 0.772160i \(-0.280823\pi\)
0.635429 + 0.772160i \(0.280823\pi\)
\(602\) 10121.1 28779.9i 0.685223 1.94847i
\(603\) 1565.01 0.105692
\(604\) −2482.42 10876.2i −0.167232 0.732693i
\(605\) −373.902 346.930i −0.0251261 0.0233136i
\(606\) −29756.2 + 14329.8i −1.99466 + 0.960576i
\(607\) −12579.8 + 1896.10i −0.841185 + 0.126788i −0.555480 0.831530i \(-0.687466\pi\)
−0.285704 + 0.958318i \(0.592228\pi\)
\(608\) −816.622 + 1414.43i −0.0544711 + 0.0943466i
\(609\) 19384.7 + 33575.3i 1.28983 + 2.23406i
\(610\) 15175.2 + 19029.1i 1.00725 + 1.26306i
\(611\) −287.530 3836.83i −0.0190380 0.254045i
\(612\) −1172.42 2987.27i −0.0774383 0.197309i
\(613\) 8930.56 + 4300.73i 0.588421 + 0.283369i 0.704309 0.709894i \(-0.251257\pi\)
−0.115888 + 0.993262i \(0.536971\pi\)
\(614\) 9903.20 + 3054.73i 0.650913 + 0.200780i
\(615\) 3435.76 8754.18i 0.225274 0.573988i
\(616\) −761.416 + 706.491i −0.0498025 + 0.0462099i
\(617\) −1182.38 806.131i −0.0771486 0.0525990i 0.524131 0.851637i \(-0.324390\pi\)
−0.601280 + 0.799038i \(0.705342\pi\)
\(618\) 18562.7 23276.9i 1.20825 1.51510i
\(619\) −12217.3 1841.47i −0.793306 0.119572i −0.260127 0.965574i \(-0.583765\pi\)
−0.533179 + 0.846003i \(0.679003\pi\)
\(620\) −2339.59 + 721.668i −0.151549 + 0.0467466i
\(621\) 588.427 7852.01i 0.0380238 0.507392i
\(622\) −1784.06 + 1216.35i −0.115007 + 0.0784102i
\(623\) 6569.93 28784.7i 0.422502 1.85110i
\(624\) 923.296 4045.22i 0.0592330 0.259517i
\(625\) −2939.93 + 2004.41i −0.188155 + 0.128282i
\(626\) −521.313 + 6956.44i −0.0332841 + 0.444146i
\(627\) −1223.08 + 377.271i −0.0779030 + 0.0240299i
\(628\) −761.939 114.844i −0.0484151 0.00729740i
\(629\) −18210.6 + 22835.3i −1.15438 + 1.44754i
\(630\) 2929.24 + 1997.12i 0.185244 + 0.126297i
\(631\) −20302.7 + 18838.1i −1.28088 + 1.18848i −0.309515 + 0.950895i \(0.600167\pi\)
−0.971366 + 0.237589i \(0.923643\pi\)
\(632\) −337.287 + 859.394i −0.0212288 + 0.0540900i
\(633\) 11452.5 + 3532.63i 0.719110 + 0.221816i
\(634\) 13873.8 + 6681.26i 0.869082 + 0.418528i
\(635\) −171.745 437.598i −0.0107330 0.0273473i
\(636\) 1170.08 + 15613.7i 0.0729509 + 0.973462i
\(637\) −2811.99 3526.13i −0.174906 0.219325i
\(638\) 17953.3 + 31096.0i 1.11407 + 1.92962i
\(639\) 1364.53 2363.43i 0.0844757 0.146316i
\(640\) −1058.36 + 159.522i −0.0653677 + 0.00985260i
\(641\) 2568.36 1236.86i 0.158259 0.0762137i −0.353077 0.935594i \(-0.614865\pi\)
0.511337 + 0.859380i \(0.329150\pi\)
\(642\) 10183.9 + 9449.31i 0.626056 + 0.580895i
\(643\) 922.755 + 4042.85i 0.0565940 + 0.247954i 0.995310 0.0967372i \(-0.0308407\pi\)
−0.938716 + 0.344692i \(0.887984\pi\)
\(644\) 13035.0 0.797593
\(645\) 12231.5 + 1397.54i 0.746690 + 0.0853148i
\(646\) 2530.43 0.154115
\(647\) −1173.64 5142.05i −0.0713146 0.312450i 0.926672 0.375870i \(-0.122656\pi\)
−0.997987 + 0.0634206i \(0.979799\pi\)
\(648\) 646.921 + 600.255i 0.0392183 + 0.0363893i
\(649\) −11804.8 + 5684.90i −0.713990 + 0.343840i
\(650\) 2816.61 424.536i 0.169964 0.0256180i
\(651\) 3086.31 5345.65i 0.185810 0.321832i
\(652\) 2706.57 + 4687.92i 0.162573 + 0.281585i
\(653\) −16867.0 21150.5i −1.01080 1.26751i −0.963241 0.268639i \(-0.913426\pi\)
−0.0475629 0.998868i \(-0.515145\pi\)
\(654\) −3258.79 43485.6i −0.194845 2.60003i
\(655\) −4749.66 12101.9i −0.283335 0.721927i
\(656\) 12824.8 + 6176.08i 0.763297 + 0.367585i
\(657\) −4222.21 1302.38i −0.250722 0.0773373i
\(658\) −13528.5 + 34470.1i −0.801514 + 2.04222i
\(659\) 19347.7 17952.0i 1.14367 1.06117i 0.146261 0.989246i \(-0.453276\pi\)
0.997410 0.0719253i \(-0.0229143\pi\)
\(660\) 9921.16 + 6764.13i 0.585122 + 0.398930i
\(661\) −3947.19 + 4949.62i −0.232266 + 0.291253i −0.884282 0.466952i \(-0.845352\pi\)
0.652016 + 0.758205i \(0.273923\pi\)
\(662\) 3654.53 + 550.832i 0.214558 + 0.0323394i
\(663\) −5942.28 + 1832.95i −0.348083 + 0.107369i
\(664\) −42.4926 + 567.024i −0.00248348 + 0.0331397i
\(665\) −1135.06 + 773.873i −0.0661892 + 0.0451271i
\(666\) 1090.86 4779.38i 0.0634686 0.278074i
\(667\) −3500.13 + 15335.1i −0.203187 + 0.890220i
\(668\) −9532.55 + 6499.18i −0.552134 + 0.376438i
\(669\) 1584.76 21147.2i 0.0915850 1.22212i
\(670\) 11062.6 3412.35i 0.637887 0.196762i
\(671\) −27615.9 4162.42i −1.58882 0.239476i
\(672\) −24084.6 + 30201.1i −1.38256 + 1.73368i
\(673\) −1550.69 1057.24i −0.0888183 0.0605553i 0.518097 0.855322i \(-0.326641\pi\)
−0.606915 + 0.794767i \(0.707593\pi\)
\(674\) 3579.75 3321.52i 0.204580 0.189822i
\(675\) −2973.10 + 7575.33i −0.169533 + 0.431962i
\(676\) −15295.1 4717.91i −0.870226 0.268429i
\(677\) 12688.1 + 6110.28i 0.720302 + 0.346879i 0.757862 0.652415i \(-0.226244\pi\)
−0.0375597 + 0.999294i \(0.511958\pi\)
\(678\) 7113.28 + 18124.3i 0.402926 + 1.02664i
\(679\) 1103.68 + 14727.5i 0.0623788 + 0.832387i
\(680\) 516.662 + 647.873i 0.0291369 + 0.0365365i
\(681\) −10122.7 17533.1i −0.569609 0.986591i
\(682\) 2858.40 4950.90i 0.160490 0.277976i
\(683\) −16284.1 + 2454.43i −0.912287 + 0.137505i −0.588381 0.808584i \(-0.700234\pi\)
−0.323906 + 0.946089i \(0.604996\pi\)
\(684\) −188.046 + 90.5583i −0.0105119 + 0.00506225i
\(685\) 8605.50 + 7984.73i 0.479999 + 0.445374i
\(686\) 1400.77 + 6137.18i 0.0779617 + 0.341572i
\(687\) 16890.3 0.937998
\(688\) −3492.96 + 18303.9i −0.193558 + 1.01429i
\(689\) 4077.16 0.225439
\(690\) 2381.84 + 10435.5i 0.131413 + 0.575759i
\(691\) −21113.3 19590.2i −1.16235 1.07851i −0.995714 0.0924887i \(-0.970518\pi\)
−0.166640 0.986018i \(-0.553292\pi\)
\(692\) −3172.25 + 1527.67i −0.174264 + 0.0839211i
\(693\) −4022.57 + 606.305i −0.220498 + 0.0332347i
\(694\) −5230.23 + 9059.03i −0.286076 + 0.495499i
\(695\) 3723.48 + 6449.25i 0.203222 + 0.351991i
\(696\) −948.314 1189.15i −0.0516462 0.0647622i
\(697\) −1594.25 21273.7i −0.0866375 1.15610i
\(698\) 2520.96 + 6423.31i 0.136705 + 0.348318i
\(699\) 10721.0 + 5162.96i 0.580122 + 0.279372i
\(700\) −12873.2 3970.86i −0.695089 0.214407i
\(701\) −3352.57 + 8542.21i −0.180635 + 0.460249i −0.992298 0.123877i \(-0.960467\pi\)
0.811663 + 0.584126i \(0.198563\pi\)
\(702\) −4163.51 + 3863.17i −0.223848 + 0.207701i
\(703\) 1569.53 + 1070.09i 0.0842048 + 0.0574099i
\(704\) −10578.6 + 13265.2i −0.566331 + 0.710157i
\(705\) −14776.1 2227.14i −0.789364 0.118977i
\(706\) 3617.60 1115.88i 0.192847 0.0594855i
\(707\) 3039.61 40560.8i 0.161692 2.15763i
\(708\) −13136.7 + 8956.46i −0.697328 + 0.475430i
\(709\) −461.223 + 2020.75i −0.0244310 + 0.107039i −0.985673 0.168666i \(-0.946054\pi\)
0.961242 + 0.275705i \(0.0889113\pi\)
\(710\) 4492.20 19681.6i 0.237449 1.04033i
\(711\) −2987.46 + 2036.81i −0.157579 + 0.107435i
\(712\) −86.5602 + 1155.07i −0.00455615 + 0.0607976i
\(713\) 2393.08 738.168i 0.125697 0.0387722i
\(714\) 59180.0 + 8919.95i 3.10190 + 0.467536i
\(715\) 1949.50 2444.59i 0.101968 0.127864i
\(716\) −24271.7 16548.2i −1.26687 0.863734i
\(717\) 445.717 413.565i 0.0232156 0.0215410i
\(718\) 5832.62 14861.3i 0.303164 0.772448i
\(719\) 6384.94 + 1969.49i 0.331180 + 0.102155i 0.455886 0.890038i \(-0.349323\pi\)
−0.124706 + 0.992194i \(0.539799\pi\)
\(720\) −1951.02 939.561i −0.100986 0.0486325i
\(721\) 13395.7 + 34131.6i 0.691930 + 1.76301i
\(722\) 2020.63 + 26963.5i 0.104155 + 1.38986i
\(723\) −3361.71 4215.45i −0.172923 0.216838i
\(724\) 10242.7 + 17740.8i 0.525781 + 0.910680i
\(725\) 8128.26 14078.6i 0.416381 0.721192i
\(726\) 1429.07 215.398i 0.0730548 0.0110112i
\(727\) 21640.3 10421.4i 1.10398 0.531648i 0.209071 0.977900i \(-0.432956\pi\)
0.894907 + 0.446252i \(0.147242\pi\)
\(728\) 240.597 + 223.241i 0.0122488 + 0.0113652i
\(729\) −3505.23 15357.4i −0.178084 0.780237i
\(730\) −32685.2 −1.65717
\(731\) 26374.7 9182.61i 1.33448 0.464611i
\(732\) −33889.7 −1.71120
\(733\) 126.979 + 556.332i 0.00639848 + 0.0280336i 0.978026 0.208481i \(-0.0668520\pi\)
−0.971628 + 0.236515i \(0.923995\pi\)
\(734\) −29559.2 27426.9i −1.48645 1.37922i
\(735\) −15781.4 + 7599.91i −0.791980 + 0.381397i
\(736\) −15497.3 + 2335.84i −0.776138 + 0.116984i
\(737\) −6641.94 + 11504.2i −0.331966 + 0.574982i
\(738\) 1790.34 + 3100.95i 0.0892997 + 0.154672i
\(739\) 24703.8 + 30977.6i 1.22970 + 1.54199i 0.744567 + 0.667547i \(0.232656\pi\)
0.485129 + 0.874443i \(0.338773\pi\)
\(740\) −1331.76 17771.1i −0.0661573 0.882807i
\(741\) 147.761 + 376.488i 0.00732540 + 0.0186648i
\(742\) −35353.3 17025.3i −1.74914 0.842341i
\(743\) −4274.31 1318.45i −0.211049 0.0650999i 0.187428 0.982278i \(-0.439985\pi\)
−0.398477 + 0.917178i \(0.630461\pi\)
\(744\) −88.4711 + 225.421i −0.00435955 + 0.0111080i
\(745\) 19981.3 18540.0i 0.982629 0.911747i
\(746\) −31096.4 21201.1i −1.52616 1.04052i
\(747\) −1388.48 + 1741.10i −0.0680080 + 0.0852794i
\(748\) 26934.8 + 4059.77i 1.31662 + 0.198449i
\(749\) −16349.3 + 5043.10i −0.797585 + 0.246022i
\(750\) 2444.29 32616.7i 0.119004 1.58799i
\(751\) −4168.41 + 2841.98i −0.202540 + 0.138089i −0.660343 0.750964i \(-0.729589\pi\)
0.457803 + 0.889054i \(0.348637\pi\)
\(752\) 5032.98 22050.9i 0.244061 1.06930i
\(753\) 4675.63 20485.3i 0.226281 0.991400i
\(754\) 9374.48 6391.41i 0.452783 0.308702i
\(755\) −843.116 + 11250.6i −0.0406413 + 0.542320i
\(756\) 25668.9 7917.80i 1.23488 0.380910i
\(757\) 35600.4 + 5365.89i 1.70927 + 0.257631i 0.929602 0.368564i