Properties

Label 43.4.g.a.10.7
Level 43
Weight 4
Character 43.10
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 10.7
Character \(\chi\) \(=\) 43.10
Dual form 43.4.g.a.13.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.399395 + 1.74986i) q^{2} +(-2.95769 - 2.74433i) q^{3} +(4.30524 - 2.07330i) q^{4} +(12.0373 - 1.81433i) q^{5} +(3.62092 - 6.27163i) q^{6} +(7.86579 + 13.6240i) q^{7} +(14.3001 + 17.9318i) q^{8} +(-0.801160 - 10.6907i) q^{9} +O(q^{10})\) \(q+(0.399395 + 1.74986i) q^{2} +(-2.95769 - 2.74433i) q^{3} +(4.30524 - 2.07330i) q^{4} +(12.0373 - 1.81433i) q^{5} +(3.62092 - 6.27163i) q^{6} +(7.86579 + 13.6240i) q^{7} +(14.3001 + 17.9318i) q^{8} +(-0.801160 - 10.6907i) q^{9} +(7.98245 + 20.3390i) q^{10} +(-19.4809 - 9.38152i) q^{11} +(-18.4234 - 5.68286i) q^{12} +(1.46689 - 3.73758i) q^{13} +(-20.6985 + 19.2054i) q^{14} +(-40.5816 - 27.6681i) q^{15} +(-1.83222 + 2.29753i) q^{16} +(-24.7041 - 3.72355i) q^{17} +(18.3874 - 5.67175i) q^{18} +(0.505800 - 6.74943i) q^{19} +(48.0617 - 32.7679i) q^{20} +(14.1241 - 61.8818i) q^{21} +(8.63579 - 37.8359i) q^{22} +(-147.392 + 100.490i) q^{23} +(6.91550 - 92.2809i) q^{24} +(22.1575 - 6.83468i) q^{25} +(7.12613 + 1.07409i) q^{26} +(-94.8914 + 118.990i) q^{27} +(62.1106 + 42.3463i) q^{28} +(-124.930 + 115.918i) q^{29} +(32.2073 - 82.0628i) q^{30} +(-40.5849 - 12.5188i) q^{31} +(160.562 + 77.3226i) q^{32} +(31.8725 + 81.2097i) q^{33} +(-3.35100 - 44.7160i) q^{34} +(119.401 + 149.724i) q^{35} +(-25.6143 - 44.3652i) q^{36} +(220.843 - 382.512i) q^{37} +(12.0126 - 1.81061i) q^{38} +(-14.5958 + 7.02896i) q^{39} +(204.668 + 189.905i) q^{40} +(-11.8359 - 51.8565i) q^{41} +113.926 q^{42} +(85.2599 + 268.771i) q^{43} -103.321 q^{44} +(-29.0403 - 127.234i) q^{45} +(-234.712 - 217.781i) q^{46} +(213.150 - 102.648i) q^{47} +(11.7243 - 1.76716i) q^{48} +(47.7586 - 82.7202i) q^{49} +(20.8093 + 36.0428i) q^{50} +(62.8484 + 78.8094i) q^{51} +(-1.43378 - 19.1325i) q^{52} +(-34.1629 - 87.0456i) q^{53} +(-246.116 - 118.523i) q^{54} +(-251.518 - 77.5831i) q^{55} +(-131.820 + 335.872i) q^{56} +(-20.0187 + 18.5746i) q^{57} +(-252.737 - 172.313i) q^{58} +(-495.589 + 621.449i) q^{59} +(-232.078 - 34.9801i) q^{60} +(-10.2946 + 3.17547i) q^{61} +(5.69676 - 76.0180i) q^{62} +(139.348 - 95.0061i) q^{63} +(-76.4076 + 334.764i) q^{64} +(10.8762 - 47.6517i) q^{65} +(-129.376 + 88.2073i) q^{66} +(62.0859 - 828.479i) q^{67} +(-114.077 + 35.1882i) q^{68} +(711.718 + 107.274i) q^{69} +(-214.309 + 268.735i) q^{70} +(-384.777 - 262.337i) q^{71} +(180.247 - 167.245i) q^{72} +(-108.757 + 277.108i) q^{73} +(757.547 + 233.672i) q^{74} +(-84.2915 - 40.5927i) q^{75} +(-11.8160 - 30.1066i) q^{76} +(-25.4195 - 339.200i) q^{77} +(-18.1292 - 22.7333i) q^{78} +(-327.366 - 567.014i) q^{79} +(-17.8865 + 30.9803i) q^{80} +(320.981 - 48.3802i) q^{81} +(86.0147 - 41.4225i) q^{82} +(1049.29 + 973.601i) q^{83} +(-67.4915 - 295.700i) q^{84} -304.126 q^{85} +(-436.260 + 256.539i) q^{86} +687.621 q^{87} +(-110.352 - 483.484i) q^{88} +(-238.941 - 221.705i) q^{89} +(211.043 - 101.633i) q^{90} +(62.4589 - 9.41417i) q^{91} +(-426.213 + 738.222i) q^{92} +(85.6818 + 148.405i) q^{93} +(264.751 + 331.987i) q^{94} +(-6.15722 - 82.1624i) q^{95} +(-262.693 - 669.332i) q^{96} +(1614.94 + 777.714i) q^{97} +(163.824 + 50.5329i) q^{98} +(-84.6880 + 215.781i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.399395 + 1.74986i 0.141207 + 0.618670i 0.995156 + 0.0983123i \(0.0313444\pi\)
−0.853948 + 0.520358i \(0.825798\pi\)
\(3\) −2.95769 2.74433i −0.569207 0.528147i 0.342214 0.939622i \(-0.388823\pi\)
−0.911421 + 0.411475i \(0.865014\pi\)
\(4\) 4.30524 2.07330i 0.538155 0.259162i
\(5\) 12.0373 1.81433i 1.07665 0.162278i 0.413303 0.910594i \(-0.364375\pi\)
0.663343 + 0.748315i \(0.269137\pi\)
\(6\) 3.62092 6.27163i 0.246373 0.426730i
\(7\) 7.86579 + 13.6240i 0.424713 + 0.735624i 0.996394 0.0848518i \(-0.0270417\pi\)
−0.571681 + 0.820476i \(0.693708\pi\)
\(8\) 14.3001 + 17.9318i 0.631982 + 0.792480i
\(9\) −0.801160 10.6907i −0.0296726 0.395953i
\(10\) 7.98245 + 20.3390i 0.252427 + 0.643174i
\(11\) −19.4809 9.38152i −0.533974 0.257148i 0.147408 0.989076i \(-0.452907\pi\)
−0.681383 + 0.731927i \(0.738621\pi\)
\(12\) −18.4234 5.68286i −0.443198 0.136708i
\(13\) 1.46689 3.73758i 0.0312956 0.0797399i −0.914372 0.404876i \(-0.867315\pi\)
0.945667 + 0.325136i \(0.105410\pi\)
\(14\) −20.6985 + 19.2054i −0.395136 + 0.366633i
\(15\) −40.5816 27.6681i −0.698542 0.476258i
\(16\) −1.83222 + 2.29753i −0.0286284 + 0.0358989i
\(17\) −24.7041 3.72355i −0.352449 0.0531231i −0.0295681 0.999563i \(-0.509413\pi\)
−0.322881 + 0.946440i \(0.604651\pi\)
\(18\) 18.3874 5.67175i 0.240775 0.0742691i
\(19\) 0.505800 6.74943i 0.00610729 0.0814961i −0.993317 0.115416i \(-0.963180\pi\)
0.999425 + 0.0339196i \(0.0107990\pi\)
\(20\) 48.0617 32.7679i 0.537347 0.366357i
\(21\) 14.1241 61.8818i 0.146768 0.643034i
\(22\) 8.63579 37.8359i 0.0836890 0.366665i
\(23\) −147.392 + 100.490i −1.33623 + 0.911028i −0.999532 0.0305832i \(-0.990264\pi\)
−0.336701 + 0.941612i \(0.609311\pi\)
\(24\) 6.91550 92.2809i 0.0588175 0.784865i
\(25\) 22.1575 6.83468i 0.177260 0.0546774i
\(26\) 7.12613 + 1.07409i 0.0537519 + 0.00810179i
\(27\) −94.8914 + 118.990i −0.676365 + 0.848135i
\(28\) 62.1106 + 42.3463i 0.419207 + 0.285811i
\(29\) −124.930 + 115.918i −0.799962 + 0.742256i −0.969980 0.243185i \(-0.921808\pi\)
0.170018 + 0.985441i \(0.445617\pi\)
\(30\) 32.2073 82.0628i 0.196007 0.499418i
\(31\) −40.5849 12.5188i −0.235138 0.0725303i 0.174947 0.984578i \(-0.444025\pi\)
−0.410085 + 0.912048i \(0.634501\pi\)
\(32\) 160.562 + 77.3226i 0.886988 + 0.427151i
\(33\) 31.8725 + 81.2097i 0.168130 + 0.428388i
\(34\) −3.35100 44.7160i −0.0169027 0.225551i
\(35\) 119.401 + 149.724i 0.576641 + 0.723086i
\(36\) −25.6143 44.3652i −0.118584 0.205394i
\(37\) 220.843 382.512i 0.981254 1.69958i 0.323728 0.946150i \(-0.395064\pi\)
0.657526 0.753432i \(-0.271603\pi\)
\(38\) 12.0126 1.81061i 0.0512816 0.00772946i
\(39\) −14.5958 + 7.02896i −0.0599281 + 0.0288598i
\(40\) 204.668 + 189.905i 0.809023 + 0.750664i
\(41\) −11.8359 51.8565i −0.0450844 0.197528i 0.947370 0.320140i \(-0.103730\pi\)
−0.992455 + 0.122612i \(0.960873\pi\)
\(42\) 113.926 0.418551
\(43\) 85.2599 + 268.771i 0.302372 + 0.953190i
\(44\) −103.321 −0.354004
\(45\) −29.0403 127.234i −0.0962015 0.421486i
\(46\) −234.712 217.781i −0.752312 0.698044i
\(47\) 213.150 102.648i 0.661514 0.318568i −0.0728313 0.997344i \(-0.523203\pi\)
0.734346 + 0.678776i \(0.237489\pi\)
\(48\) 11.7243 1.76716i 0.0352554 0.00531390i
\(49\) 47.7586 82.7202i 0.139238 0.241167i
\(50\) 20.8093 + 36.0428i 0.0588577 + 0.101945i
\(51\) 62.8484 + 78.8094i 0.172560 + 0.216383i
\(52\) −1.43378 19.1325i −0.00382365 0.0510231i
\(53\) −34.1629 87.0456i −0.0885403 0.225597i 0.879744 0.475447i \(-0.157714\pi\)
−0.968284 + 0.249850i \(0.919619\pi\)
\(54\) −246.116 118.523i −0.620224 0.298684i
\(55\) −251.518 77.5831i −0.616631 0.190205i
\(56\) −131.820 + 335.872i −0.314557 + 0.801478i
\(57\) −20.0187 + 18.5746i −0.0465183 + 0.0431626i
\(58\) −252.737 172.313i −0.572172 0.390100i
\(59\) −495.589 + 621.449i −1.09356 + 1.37129i −0.171076 + 0.985258i \(0.554724\pi\)
−0.922487 + 0.386027i \(0.873847\pi\)
\(60\) −232.078 34.9801i −0.499352 0.0752652i
\(61\) −10.2946 + 3.17547i −0.0216080 + 0.00666519i −0.305540 0.952179i \(-0.598837\pi\)
0.283932 + 0.958844i \(0.408361\pi\)
\(62\) 5.69676 76.0180i 0.0116692 0.155714i
\(63\) 139.348 95.0061i 0.278671 0.189994i
\(64\) −76.4076 + 334.764i −0.149234 + 0.653836i
\(65\) 10.8762 47.6517i 0.0207542 0.0909303i
\(66\) −129.376 + 88.2073i −0.241290 + 0.164509i
\(67\) 62.0859 828.479i 0.113209 1.51067i −0.594461 0.804125i \(-0.702634\pi\)
0.707669 0.706544i \(-0.249747\pi\)
\(68\) −114.077 + 35.1882i −0.203440 + 0.0627528i
\(69\) 711.718 + 107.274i 1.24175 + 0.187164i
\(70\) −214.309 + 268.735i −0.365926 + 0.458856i
\(71\) −384.777 262.337i −0.643164 0.438502i 0.197319 0.980339i \(-0.436776\pi\)
−0.840483 + 0.541837i \(0.817729\pi\)
\(72\) 180.247 167.245i 0.295033 0.273750i
\(73\) −108.757 + 277.108i −0.174370 + 0.444289i −0.991164 0.132641i \(-0.957654\pi\)
0.816794 + 0.576930i \(0.195749\pi\)
\(74\) 757.547 + 233.672i 1.19004 + 0.367079i
\(75\) −84.2915 40.5927i −0.129775 0.0624965i
\(76\) −11.8160 30.1066i −0.0178340 0.0454403i
\(77\) −25.4195 339.200i −0.0376211 0.502019i
\(78\) −18.1292 22.7333i −0.0263170 0.0330005i
\(79\) −327.366 567.014i −0.466222 0.807519i 0.533034 0.846094i \(-0.321052\pi\)
−0.999256 + 0.0385743i \(0.987718\pi\)
\(80\) −17.8865 + 30.9803i −0.0249971 + 0.0432962i
\(81\) 320.981 48.3802i 0.440304 0.0663651i
\(82\) 86.0147 41.4225i 0.115838 0.0557847i
\(83\) 1049.29 + 973.601i 1.38765 + 1.28755i 0.913344 + 0.407189i \(0.133491\pi\)
0.474305 + 0.880361i \(0.342700\pi\)
\(84\) −67.4915 295.700i −0.0876658 0.384089i
\(85\) −304.126 −0.388083
\(86\) −436.260 + 256.539i −0.547013 + 0.321666i
\(87\) 687.621 0.847364
\(88\) −110.352 483.484i −0.133677 0.585677i
\(89\) −238.941 221.705i −0.284581 0.264053i 0.524945 0.851136i \(-0.324086\pi\)
−0.809527 + 0.587083i \(0.800276\pi\)
\(90\) 211.043 101.633i 0.247177 0.119034i
\(91\) 62.4589 9.41417i 0.0719503 0.0108448i
\(92\) −426.213 + 738.222i −0.482997 + 0.836576i
\(93\) 85.6818 + 148.405i 0.0955353 + 0.165472i
\(94\) 264.751 + 331.987i 0.290500 + 0.364275i
\(95\) −6.15722 82.1624i −0.00664966 0.0887335i
\(96\) −262.693 669.332i −0.279282 0.711598i
\(97\) 1614.94 + 777.714i 1.69044 + 0.814072i 0.995475 + 0.0950253i \(0.0302932\pi\)
0.694962 + 0.719046i \(0.255421\pi\)
\(98\) 163.824 + 50.5329i 0.168864 + 0.0520877i
\(99\) −84.6880 + 215.781i −0.0859744 + 0.219059i
\(100\) 81.2230 75.3639i 0.0812230 0.0753639i
\(101\) 524.238 + 357.419i 0.516471 + 0.352124i 0.793335 0.608785i \(-0.208343\pi\)
−0.276864 + 0.960909i \(0.589295\pi\)
\(102\) −112.804 + 141.452i −0.109503 + 0.137312i
\(103\) −453.719 68.3872i −0.434042 0.0654213i −0.0716124 0.997433i \(-0.522814\pi\)
−0.362429 + 0.932011i \(0.618053\pi\)
\(104\) 87.9982 27.1439i 0.0829706 0.0255930i
\(105\) 57.7420 770.513i 0.0536671 0.716137i
\(106\) 138.674 94.5460i 0.127068 0.0866332i
\(107\) 56.8791 249.204i 0.0513898 0.225153i −0.942711 0.333609i \(-0.891733\pi\)
0.994101 + 0.108456i \(0.0345906\pi\)
\(108\) −161.829 + 709.019i −0.144185 + 0.631717i
\(109\) 1414.17 964.165i 1.24269 0.847250i 0.250034 0.968237i \(-0.419558\pi\)
0.992654 + 0.120987i \(0.0386058\pi\)
\(110\) 35.3047 471.109i 0.0306016 0.408350i
\(111\) −1702.92 + 525.283i −1.45617 + 0.449168i
\(112\) −45.7133 6.89018i −0.0385670 0.00581304i
\(113\) −139.955 + 175.499i −0.116512 + 0.146102i −0.836667 0.547711i \(-0.815499\pi\)
0.720155 + 0.693813i \(0.244071\pi\)
\(114\) −40.4984 27.6114i −0.0332722 0.0226846i
\(115\) −1591.88 + 1477.04i −1.29081 + 1.19770i
\(116\) −297.521 + 758.071i −0.238139 + 0.606769i
\(117\) −41.1327 12.6878i −0.0325019 0.0100255i
\(118\) −1285.39 619.010i −1.00279 0.482920i
\(119\) −143.588 365.857i −0.110611 0.281832i
\(120\) −84.1840 1123.36i −0.0640409 0.854567i
\(121\) −538.372 675.097i −0.404487 0.507210i
\(122\) −9.66825 16.7459i −0.00717477 0.0124271i
\(123\) −107.305 + 185.857i −0.0786613 + 0.136245i
\(124\) −200.683 + 30.2481i −0.145338 + 0.0219061i
\(125\) −1116.65 + 537.749i −0.799008 + 0.384782i
\(126\) 221.903 + 205.896i 0.156894 + 0.145577i
\(127\) 40.3020 + 176.574i 0.0281592 + 0.123374i 0.987054 0.160388i \(-0.0512746\pi\)
−0.958895 + 0.283762i \(0.908417\pi\)
\(128\) 809.375 0.558901
\(129\) 485.425 1028.92i 0.331312 0.702260i
\(130\) 87.7279 0.0591865
\(131\) −565.373 2477.06i −0.377076 1.65208i −0.706366 0.707847i \(-0.749667\pi\)
0.329290 0.944229i \(-0.393191\pi\)
\(132\) 305.591 + 283.547i 0.201502 + 0.186966i
\(133\) 95.9325 46.1987i 0.0625444 0.0301198i
\(134\) 1474.52 222.248i 0.950592 0.143279i
\(135\) −926.347 + 1604.48i −0.590572 + 1.02290i
\(136\) −286.502 496.236i −0.180642 0.312882i
\(137\) −524.655 657.897i −0.327185 0.410277i 0.590847 0.806784i \(-0.298794\pi\)
−0.918032 + 0.396507i \(0.870222\pi\)
\(138\) 96.5414 + 1288.26i 0.0595518 + 0.794663i
\(139\) 724.320 + 1845.54i 0.441986 + 1.12616i 0.962253 + 0.272158i \(0.0877372\pi\)
−0.520267 + 0.854004i \(0.674168\pi\)
\(140\) 824.473 + 397.045i 0.497719 + 0.239689i
\(141\) −912.132 281.355i −0.544790 0.168045i
\(142\) 305.375 778.084i 0.180469 0.459826i
\(143\) −63.6406 + 59.0498i −0.0372160 + 0.0345314i
\(144\) 26.0302 + 17.7471i 0.0150638 + 0.0102703i
\(145\) −1293.50 + 1622.00i −0.740824 + 0.928963i
\(146\) −528.339 79.6342i −0.299491 0.0451409i
\(147\) −368.267 + 113.595i −0.206627 + 0.0637359i
\(148\) 157.724 2104.68i 0.0876002 1.16894i
\(149\) 2511.53 1712.33i 1.38089 0.941475i 0.381033 0.924561i \(-0.375568\pi\)
0.999857 0.0169134i \(-0.00538396\pi\)
\(150\) 37.3660 163.711i 0.0203395 0.0891131i
\(151\) −67.9435 + 297.680i −0.0366170 + 0.160429i −0.989931 0.141552i \(-0.954791\pi\)
0.953314 + 0.301981i \(0.0976480\pi\)
\(152\) 128.262 87.4478i 0.0684438 0.0466642i
\(153\) −20.0155 + 267.088i −0.0105762 + 0.141130i
\(154\) 583.402 179.956i 0.305272 0.0941639i
\(155\) −511.245 77.0577i −0.264930 0.0399318i
\(156\) −48.2653 + 60.5227i −0.0247713 + 0.0310622i
\(157\) 1279.09 + 872.071i 0.650208 + 0.443305i 0.842984 0.537938i \(-0.180797\pi\)
−0.192776 + 0.981243i \(0.561749\pi\)
\(158\) 861.449 799.308i 0.433754 0.402465i
\(159\) −137.839 + 351.208i −0.0687506 + 0.175174i
\(160\) 2073.02 + 639.441i 1.02429 + 0.315952i
\(161\) −2528.43 1217.63i −1.23769 0.596040i
\(162\) 212.857 + 542.351i 0.103232 + 0.263032i
\(163\) 124.870 + 1666.28i 0.0600036 + 0.800692i 0.943314 + 0.331903i \(0.107691\pi\)
−0.883310 + 0.468789i \(0.844690\pi\)
\(164\) −158.470 198.716i −0.0754540 0.0946164i
\(165\) 530.998 + 919.716i 0.250534 + 0.433938i
\(166\) −1284.59 + 2224.97i −0.600623 + 1.04031i
\(167\) 1146.89 172.866i 0.531432 0.0801005i 0.122156 0.992511i \(-0.461019\pi\)
0.409276 + 0.912410i \(0.365781\pi\)
\(168\) 1311.63 631.646i 0.602347 0.290075i
\(169\) 1598.70 + 1483.37i 0.727673 + 0.675182i
\(170\) −121.466 532.179i −0.0548003 0.240096i
\(171\) −72.5616 −0.0324499
\(172\) 924.306 + 980.355i 0.409754 + 0.434601i
\(173\) −2072.26 −0.910699 −0.455349 0.890313i \(-0.650486\pi\)
−0.455349 + 0.890313i \(0.650486\pi\)
\(174\) 274.632 + 1203.24i 0.119654 + 0.524239i
\(175\) 267.401 + 248.112i 0.115507 + 0.107174i
\(176\) 57.2477 27.5690i 0.0245182 0.0118073i
\(177\) 3171.26 477.991i 1.34670 0.202983i
\(178\) 292.522 506.663i 0.123177 0.213348i
\(179\) −774.438 1341.37i −0.323376 0.560103i 0.657807 0.753187i \(-0.271484\pi\)
−0.981182 + 0.193084i \(0.938151\pi\)
\(180\) −388.819 487.563i −0.161005 0.201893i
\(181\) 226.424 + 3021.41i 0.0929831 + 1.24077i 0.827219 + 0.561879i \(0.189921\pi\)
−0.734236 + 0.678894i \(0.762460\pi\)
\(182\) 41.4193 + 105.535i 0.0168692 + 0.0429821i
\(183\) 39.1628 + 18.8598i 0.0158197 + 0.00761834i
\(184\) −3909.69 1205.98i −1.56645 0.483185i
\(185\) 1964.35 5005.08i 0.780658 1.98908i
\(186\) −225.468 + 209.204i −0.0888824 + 0.0824708i
\(187\) 446.326 + 304.300i 0.174538 + 0.118998i
\(188\) 704.845 883.847i 0.273437 0.342879i
\(189\) −2367.51 356.845i −0.911170 0.137337i
\(190\) 141.314 43.5896i 0.0539578 0.0166438i
\(191\) 155.053 2069.04i 0.0587396 0.783826i −0.887592 0.460630i \(-0.847624\pi\)
0.946332 0.323196i \(-0.104757\pi\)
\(192\) 1144.69 780.439i 0.430266 0.293351i
\(193\) 756.621 3314.97i 0.282191 1.23636i −0.612787 0.790248i \(-0.709952\pi\)
0.894978 0.446110i \(-0.147191\pi\)
\(194\) −715.895 + 3136.54i −0.264940 + 1.16078i
\(195\) −162.941 + 111.091i −0.0598380 + 0.0407969i
\(196\) 34.1087 455.148i 0.0124303 0.165870i
\(197\) −4531.60 + 1397.81i −1.63890 + 0.505533i −0.971073 0.238784i \(-0.923251\pi\)
−0.667826 + 0.744317i \(0.732775\pi\)
\(198\) −411.412 62.0104i −0.147666 0.0222570i
\(199\) 2157.14 2704.97i 0.768421 0.963570i −0.231536 0.972826i \(-0.574375\pi\)
0.999957 + 0.00925681i \(0.00294658\pi\)
\(200\) 439.412 + 299.586i 0.155356 + 0.105920i
\(201\) −2457.25 + 2280.00i −0.862295 + 0.800093i
\(202\) −416.057 + 1060.10i −0.144919 + 0.369248i
\(203\) −2561.93 790.252i −0.885776 0.273226i
\(204\) 433.973 + 208.990i 0.148942 + 0.0717267i
\(205\) −236.557 602.737i −0.0805944 0.205351i
\(206\) −61.5450 821.261i −0.0208157 0.277767i
\(207\) 1192.40 + 1495.22i 0.400374 + 0.502053i
\(208\) 5.89954 + 10.2183i 0.00196663 + 0.00340631i
\(209\) −73.1734 + 126.740i −0.0242177 + 0.0419463i
\(210\) 1371.36 206.699i 0.450631 0.0679217i
\(211\) −606.702 + 292.172i −0.197948 + 0.0953269i −0.530232 0.847853i \(-0.677895\pi\)
0.332284 + 0.943180i \(0.392181\pi\)
\(212\) −327.551 303.923i −0.106115 0.0984599i
\(213\) 418.112 + 1831.87i 0.134500 + 0.589284i
\(214\) 458.790 0.146552
\(215\) 1513.93 + 3080.58i 0.480230 + 0.977180i
\(216\) −3490.66 −1.09958
\(217\) −148.677 651.397i −0.0465109 0.203778i
\(218\) 2251.97 + 2089.52i 0.699646 + 0.649176i
\(219\) 1082.15 521.134i 0.333903 0.160799i
\(220\) −1243.70 + 187.458i −0.381137 + 0.0574472i
\(221\) −50.1554 + 86.8716i −0.0152661 + 0.0264417i
\(222\) −1599.31 2770.09i −0.483508 0.837461i
\(223\) −2548.35 3195.52i −0.765246 0.959588i 0.234676 0.972074i \(-0.424597\pi\)
−0.999922 + 0.0124855i \(0.996026\pi\)
\(224\) 209.508 + 2795.69i 0.0624927 + 0.833907i
\(225\) −90.8194 231.404i −0.0269095 0.0685642i
\(226\) −362.996 174.810i −0.106841 0.0514521i
\(227\) 1229.23 + 379.166i 0.359413 + 0.110864i 0.469202 0.883091i \(-0.344542\pi\)
−0.109790 + 0.993955i \(0.535018\pi\)
\(228\) −47.6746 + 121.473i −0.0138479 + 0.0352840i
\(229\) −4089.30 + 3794.32i −1.18004 + 1.09491i −0.186379 + 0.982478i \(0.559675\pi\)
−0.993659 + 0.112437i \(0.964134\pi\)
\(230\) −3220.41 2195.64i −0.923252 0.629462i
\(231\) −855.695 + 1073.01i −0.243726 + 0.305622i
\(232\) −3865.13 582.574i −1.09378 0.164861i
\(233\) 3337.62 1029.52i 0.938432 0.289468i 0.212443 0.977174i \(-0.431858\pi\)
0.725990 + 0.687706i \(0.241382\pi\)
\(234\) 5.77366 77.0441i 0.00161297 0.0215236i
\(235\) 2379.51 1622.32i 0.660520 0.450335i
\(236\) −845.184 + 3702.99i −0.233122 + 1.02137i
\(237\) −587.830 + 2575.45i −0.161112 + 0.705880i
\(238\) 582.851 397.381i 0.158742 0.108228i
\(239\) 257.071 3430.37i 0.0695754 0.928419i −0.847780 0.530349i \(-0.822061\pi\)
0.917355 0.398070i \(-0.130320\pi\)
\(240\) 137.923 42.5435i 0.0370953 0.0114424i
\(241\) 1598.98 + 241.007i 0.427382 + 0.0644175i 0.359212 0.933256i \(-0.383046\pi\)
0.0681708 + 0.997674i \(0.478284\pi\)
\(242\) 966.304 1211.71i 0.256679 0.321866i
\(243\) 2313.08 + 1577.03i 0.610634 + 0.416323i
\(244\) −37.7371 + 35.0149i −0.00990111 + 0.00918689i
\(245\) 424.801 1082.38i 0.110774 0.282247i
\(246\) −368.082 113.538i −0.0953985 0.0294265i
\(247\) −24.4846 11.7912i −0.00630736 0.00303746i
\(248\) −355.885 906.780i −0.0911238 0.232180i
\(249\) −431.594 5759.22i −0.109844 1.46577i
\(250\) −1386.97 1739.21i −0.350879 0.439989i
\(251\) 1978.43 + 3426.74i 0.497520 + 0.861729i 0.999996 0.00286181i \(-0.000910944\pi\)
−0.502476 + 0.864591i \(0.667578\pi\)
\(252\) 402.953 697.935i 0.100729 0.174467i
\(253\) 3814.08 574.880i 0.947784 0.142855i
\(254\) −292.885 + 141.046i −0.0723513 + 0.0348426i
\(255\) 899.510 + 834.623i 0.220900 + 0.204965i
\(256\) 934.522 + 4094.41i 0.228155 + 0.999611i
\(257\) 6543.83 1.58830 0.794150 0.607722i \(-0.207917\pi\)
0.794150 + 0.607722i \(0.207917\pi\)
\(258\) 1994.35 + 438.481i 0.481251 + 0.105809i
\(259\) 6948.43 1.66701
\(260\) −51.9714 227.702i −0.0123967 0.0543133i
\(261\) 1339.34 + 1242.72i 0.317636 + 0.294723i
\(262\) 4108.71 1978.65i 0.968844 0.466571i
\(263\) 2244.29 338.272i 0.526192 0.0793107i 0.119426 0.992843i \(-0.461894\pi\)
0.406766 + 0.913532i \(0.366656\pi\)
\(264\) −1000.46 + 1732.84i −0.233234 + 0.403973i
\(265\) −569.157 985.809i −0.131936 0.228520i
\(266\) 119.156 + 149.417i 0.0274660 + 0.0344412i
\(267\) 98.2810 + 1311.47i 0.0225270 + 0.300602i
\(268\) −1450.39 3695.52i −0.330584 0.842314i
\(269\) −1320.83 636.080i −0.299378 0.144173i 0.278165 0.960533i \(-0.410274\pi\)
−0.577543 + 0.816361i \(0.695988\pi\)
\(270\) −3177.60 980.160i −0.716232 0.220928i
\(271\) 893.448 2276.47i 0.200270 0.510279i −0.795091 0.606490i \(-0.792577\pi\)
0.995361 + 0.0962109i \(0.0306723\pi\)
\(272\) 53.8184 49.9361i 0.0119971 0.0111317i
\(273\) −210.570 143.564i −0.0466823 0.0318274i
\(274\) 941.685 1180.84i 0.207625 0.260354i
\(275\) −495.768 74.7249i −0.108712 0.0163858i
\(276\) 3286.53 1013.76i 0.716761 0.221091i
\(277\) −392.716 + 5240.43i −0.0851841 + 1.13670i 0.776793 + 0.629756i \(0.216845\pi\)
−0.861977 + 0.506947i \(0.830774\pi\)
\(278\) −2940.15 + 2004.56i −0.634311 + 0.432466i
\(279\) −101.320 + 443.912i −0.0217415 + 0.0952557i
\(280\) −977.372 + 4282.15i −0.208604 + 0.913954i
\(281\) −4128.17 + 2814.54i −0.876392 + 0.597514i −0.915767 0.401711i \(-0.868416\pi\)
0.0393747 + 0.999225i \(0.487463\pi\)
\(282\) 128.033 1708.48i 0.0270363 0.360775i
\(283\) −7361.57 + 2270.74i −1.54629 + 0.476967i −0.946368 0.323091i \(-0.895278\pi\)
−0.599922 + 0.800059i \(0.704802\pi\)
\(284\) −2200.46 331.666i −0.459765 0.0692984i
\(285\) −207.270 + 259.908i −0.0430793 + 0.0540198i
\(286\) −128.747 87.7782i −0.0266188 0.0181484i
\(287\) 613.392 569.145i 0.126158 0.117058i
\(288\) 698.000 1778.47i 0.142813 0.363881i
\(289\) −4098.30 1264.16i −0.834175 0.257309i
\(290\) −3354.90 1615.63i −0.679332 0.327149i
\(291\) −2642.18 6732.17i −0.532260 1.35618i
\(292\) 106.302 + 1418.50i 0.0213043 + 0.284286i
\(293\) 487.542 + 611.358i 0.0972099 + 0.121897i 0.828057 0.560644i \(-0.189446\pi\)
−0.730847 + 0.682541i \(0.760875\pi\)
\(294\) −345.860 599.048i −0.0686088 0.118834i
\(295\) −4838.03 + 8379.72i −0.954851 + 1.65385i
\(296\) 10017.2 1509.85i 1.96702 0.296481i
\(297\) 2964.88 1427.81i 0.579258 0.278956i
\(298\) 3999.44 + 3710.94i 0.777455 + 0.721372i
\(299\) 159.382 + 698.298i 0.0308271 + 0.135062i
\(300\) −447.056 −0.0860360
\(301\) −2991.09 + 3275.67i −0.572768 + 0.627265i
\(302\) −548.036 −0.104424
\(303\) −569.654 2495.82i −0.108006 0.473205i
\(304\) 14.5803 + 13.5285i 0.00275078 + 0.00255235i
\(305\) −118.158 + 56.9017i −0.0221826 + 0.0106826i
\(306\) −475.363 + 71.6494i −0.0888061 + 0.0133854i
\(307\) 3188.61 5522.83i 0.592780 1.02672i −0.401077 0.916045i \(-0.631364\pi\)
0.993856 0.110680i \(-0.0353028\pi\)
\(308\) −812.700 1407.64i −0.150350 0.260414i
\(309\) 1154.28 + 1447.43i 0.212508 + 0.266476i
\(310\) −69.3480 925.385i −0.0127055 0.169543i
\(311\) −331.280 844.088i −0.0604025 0.153903i 0.897486 0.441042i \(-0.145391\pi\)
−0.957889 + 0.287139i \(0.907296\pi\)
\(312\) −334.763 161.213i −0.0607443 0.0292529i
\(313\) −5636.41 1738.60i −1.01786 0.313967i −0.259455 0.965755i \(-0.583543\pi\)
−0.758401 + 0.651788i \(0.774019\pi\)
\(314\) −1015.14 + 2586.54i −0.182445 + 0.464863i
\(315\) 1505.00 1396.44i 0.269198 0.249779i
\(316\) −2584.98 1762.41i −0.460178 0.313744i
\(317\) −5944.54 + 7454.21i −1.05324 + 1.32073i −0.108076 + 0.994143i \(0.534469\pi\)
−0.945168 + 0.326584i \(0.894102\pi\)
\(318\) −669.619 100.929i −0.118083 0.0177981i
\(319\) 3521.23 1086.16i 0.618029 0.190637i
\(320\) −312.369 + 4168.27i −0.0545686 + 0.728167i
\(321\) −852.128 + 580.971i −0.148166 + 0.101018i
\(322\) 1120.84 4910.72i 0.193981 0.849888i
\(323\) −37.6272 + 164.855i −0.00648183 + 0.0283988i
\(324\) 1281.60 873.778i 0.219752 0.149825i
\(325\) 6.95748 92.8411i 0.00118748 0.0158458i
\(326\) −2865.88 + 884.008i −0.486891 + 0.150186i
\(327\) −6828.67 1029.26i −1.15482 0.174061i
\(328\) 760.625 953.794i 0.128044 0.160562i
\(329\) 3075.07 + 2096.54i 0.515300 + 0.351326i
\(330\) −1397.30 + 1296.51i −0.233087 + 0.216274i
\(331\) 2278.10 5804.50i 0.378295 0.963880i −0.607257 0.794506i \(-0.707730\pi\)
0.985552 0.169374i \(-0.0541747\pi\)
\(332\) 6536.02 + 2016.10i 1.08045 + 0.333276i
\(333\) −4266.26 2054.52i −0.702071 0.338100i
\(334\) 760.555 + 1937.86i 0.124598 + 0.317471i
\(335\) −755.786 10085.3i −0.123263 1.64483i
\(336\) 116.297 + 145.832i 0.0188825 + 0.0236779i
\(337\) −5707.77 9886.15i −0.922618 1.59802i −0.795348 0.606153i \(-0.792712\pi\)
−0.127270 0.991868i \(-0.540621\pi\)
\(338\) −1957.19 + 3389.96i −0.314962 + 0.545530i
\(339\) 895.571 134.986i 0.143483 0.0216266i
\(340\) −1309.34 + 630.543i −0.208849 + 0.100576i
\(341\) 673.186 + 624.625i 0.106906 + 0.0991946i
\(342\) −28.9808 126.973i −0.00458216 0.0200758i
\(343\) 6898.57 1.08597
\(344\) −3600.31 + 5372.32i −0.564290 + 0.842023i
\(345\) 8761.77 1.36730
\(346\) −827.650 3626.17i −0.128597 0.563422i
\(347\) 2303.22 + 2137.08i 0.356321 + 0.330618i 0.837939 0.545763i \(-0.183760\pi\)
−0.481618 + 0.876381i \(0.659951\pi\)
\(348\) 2960.38 1425.64i 0.456014 0.219605i
\(349\) −6634.07 + 999.926i −1.01752 + 0.153366i −0.636561 0.771226i \(-0.719644\pi\)
−0.380957 + 0.924593i \(0.624406\pi\)
\(350\) −327.364 + 567.011i −0.0499953 + 0.0865943i
\(351\) 305.540 + 529.210i 0.0464630 + 0.0804762i
\(352\) −2402.49 3012.63i −0.363788 0.456175i
\(353\) 393.444 + 5250.15i 0.0593227 + 0.791606i 0.944951 + 0.327212i \(0.106109\pi\)
−0.885628 + 0.464395i \(0.846272\pi\)
\(354\) 2103.01 + 5358.37i 0.315744 + 0.804504i
\(355\) −5107.63 2459.71i −0.763619 0.367740i
\(356\) −1488.36 459.098i −0.221581 0.0683488i
\(357\) −579.343 + 1476.14i −0.0858883 + 0.218840i
\(358\) 2037.90 1890.90i 0.300856 0.279154i
\(359\) 3100.75 + 2114.06i 0.455853 + 0.310795i 0.769389 0.638781i \(-0.220561\pi\)
−0.313535 + 0.949577i \(0.601513\pi\)
\(360\) 1866.25 2340.20i 0.273222 0.342610i
\(361\) 6737.09 + 1015.45i 0.982227 + 0.148047i
\(362\) −5196.63 + 1602.95i −0.754500 + 0.232732i
\(363\) −260.355 + 3474.20i −0.0376449 + 0.502336i
\(364\) 249.383 170.026i 0.0359099 0.0244829i
\(365\) −806.372 + 3532.95i −0.115637 + 0.506638i
\(366\) −17.3607 + 76.0621i −0.00247939 + 0.0108629i
\(367\) 1585.88 1081.24i 0.225565 0.153788i −0.445265 0.895399i \(-0.646890\pi\)
0.670830 + 0.741611i \(0.265938\pi\)
\(368\) 39.1753 522.758i 0.00554933 0.0740507i
\(369\) −544.902 + 168.080i −0.0768739 + 0.0237125i
\(370\) 9542.76 + 1438.34i 1.34082 + 0.202096i
\(371\) 917.188 1150.12i 0.128350 0.160946i
\(372\) 676.569 + 461.277i 0.0942969 + 0.0642906i
\(373\) −6746.39 + 6259.74i −0.936502 + 0.868946i −0.991575 0.129536i \(-0.958651\pi\)
0.0550732 + 0.998482i \(0.482461\pi\)
\(374\) −354.223 + 902.547i −0.0489745 + 0.124785i
\(375\) 4778.46 + 1473.96i 0.658023 + 0.202973i
\(376\) 4888.73 + 2354.29i 0.670524 + 0.322908i
\(377\) 249.994 + 636.975i 0.0341521 + 0.0870182i
\(378\) −321.142 4285.35i −0.0436978 0.583107i
\(379\) −524.953 658.270i −0.0711478 0.0892166i 0.744984 0.667082i \(-0.232457\pi\)
−0.816132 + 0.577866i \(0.803886\pi\)
\(380\) −196.855 340.963i −0.0265749 0.0460291i
\(381\) 365.379 632.854i 0.0491310 0.0850974i
\(382\) 3682.47 555.043i 0.493224 0.0743416i
\(383\) −735.787 + 354.336i −0.0981644 + 0.0472735i −0.482322 0.875994i \(-0.660206\pi\)
0.384157 + 0.923268i \(0.374492\pi\)
\(384\) −2393.88 2221.20i −0.318131 0.295182i
\(385\) −921.402 4036.93i −0.121971 0.534392i
\(386\) 6102.95 0.804745
\(387\) 2805.05 1126.82i 0.368446 0.148009i
\(388\) 8565.14 1.12069
\(389\) 484.561 + 2123.00i 0.0631574 + 0.276711i 0.996639 0.0819135i \(-0.0261031\pi\)
−0.933482 + 0.358624i \(0.883246\pi\)
\(390\) −259.472 240.755i −0.0336894 0.0312592i
\(391\) 4015.37 1933.70i 0.519350 0.250106i
\(392\) 2166.27 326.513i 0.279116 0.0420699i
\(393\) −5125.69 + 8877.95i −0.657905 + 1.13953i
\(394\) −4255.88 7371.40i −0.544183 0.942553i
\(395\) −4969.34 6231.35i −0.632998 0.793755i
\(396\) 82.7765 + 1104.58i 0.0105042 + 0.140169i
\(397\) 3189.22 + 8126.01i 0.403180 + 1.02729i 0.977925 + 0.208954i \(0.0670059\pi\)
−0.574745 + 0.818332i \(0.694899\pi\)
\(398\) 5594.88 + 2694.35i 0.704639 + 0.339336i
\(399\) −410.523 126.630i −0.0515084 0.0158882i
\(400\) −24.8945 + 63.4301i −0.00311181 + 0.00792877i
\(401\) −866.661 + 804.144i −0.107928 + 0.100142i −0.732291 0.680992i \(-0.761549\pi\)
0.624363 + 0.781134i \(0.285358\pi\)
\(402\) −4971.10 3389.24i −0.616756 0.420497i
\(403\) −106.324 + 133.326i −0.0131423 + 0.0164800i
\(404\) 2998.01 + 451.877i 0.369199 + 0.0556478i
\(405\) 3775.96 1164.73i 0.463282 0.142903i
\(406\) 359.610 4798.66i 0.0439584 0.586585i
\(407\) −7890.77 + 5379.83i −0.961009 + 0.655205i
\(408\) −514.454 + 2253.97i −0.0624246 + 0.273500i
\(409\) 281.069 1231.44i 0.0339803 0.148877i −0.955092 0.296310i \(-0.904244\pi\)
0.989072 + 0.147433i \(0.0471010\pi\)
\(410\) 960.228 654.672i 0.115664 0.0788585i
\(411\) −253.722 + 3385.68i −0.0304505 + 0.406334i
\(412\) −2095.16 + 646.271i −0.250537 + 0.0772803i
\(413\) −12364.8 1863.69i −1.47320 0.222049i
\(414\) −2140.20 + 2683.72i −0.254070 + 0.318593i
\(415\) 14397.0 + 9815.74i 1.70295 + 1.16105i
\(416\) 524.527 486.690i 0.0618198 0.0573604i
\(417\) 2922.46 7446.30i 0.343197 0.874453i
\(418\) −251.003 77.4241i −0.0293707 0.00905966i
\(419\) −8727.95 4203.16i −1.01763 0.490066i −0.150747 0.988572i \(-0.548168\pi\)
−0.866886 + 0.498506i \(0.833882\pi\)
\(420\) −1348.91 3436.96i −0.156714 0.399302i
\(421\) −87.0399 1161.47i −0.0100762 0.134457i 0.989897 0.141789i \(-0.0452853\pi\)
−0.999973 + 0.00733157i \(0.997666\pi\)
\(422\) −753.576 944.954i −0.0869277 0.109004i
\(423\) −1268.15 2196.50i −0.145767 0.252476i
\(424\) 1072.35 1857.36i 0.122825 0.212740i
\(425\) −572.830 + 86.3403i −0.0653796 + 0.00985439i
\(426\) −3038.53 + 1463.28i −0.345580 + 0.166423i
\(427\) −124.238 115.276i −0.0140803 0.0130646i
\(428\) −271.794 1190.81i −0.0306955 0.134486i
\(429\) 350.282 0.0394213
\(430\) −4785.93 + 3879.55i −0.536740 + 0.435089i
\(431\) −6305.96 −0.704750 −0.352375 0.935859i \(-0.614626\pi\)
−0.352375 + 0.935859i \(0.614626\pi\)
\(432\) −99.5215 436.032i −0.0110839 0.0485616i
\(433\) −10603.7 9838.76i −1.17686 1.09196i −0.994062 0.108813i \(-0.965295\pi\)
−0.182795 0.983151i \(-0.558515\pi\)
\(434\) 1080.48 520.330i 0.119503 0.0575498i
\(435\) 8277.08 1247.57i 0.912312 0.137509i
\(436\) 4089.35 7082.96i 0.449184 0.778010i
\(437\) 603.701 + 1045.64i 0.0660845 + 0.114462i
\(438\) 1344.12 + 1685.47i 0.146631 + 0.183870i
\(439\) 811.075 + 10823.0i 0.0881788 + 1.17666i 0.849248 + 0.527994i \(0.177056\pi\)
−0.761069 + 0.648670i \(0.775325\pi\)
\(440\) −2205.54 5619.62i −0.238966 0.608874i
\(441\) −922.603 444.302i −0.0996224 0.0479756i
\(442\) −172.045 53.0690i −0.0185144 0.00571093i
\(443\) 1681.72 4284.96i 0.180364 0.459559i −0.811887 0.583815i \(-0.801559\pi\)
0.992250 + 0.124256i \(0.0396545\pi\)
\(444\) −6242.44 + 5792.14i −0.667237 + 0.619105i
\(445\) −3278.45 2235.21i −0.349243 0.238110i
\(446\) 4573.94 5735.54i 0.485610 0.608936i
\(447\) −12127.5 1827.93i −1.28325 0.193419i
\(448\) −5161.81 + 1592.21i −0.544359 + 0.167912i
\(449\) 111.472 1487.49i 0.0117165 0.156346i −0.988277 0.152673i \(-0.951212\pi\)
0.999993 0.00367267i \(-0.00116905\pi\)
\(450\) 368.653 251.343i 0.0386188 0.0263299i
\(451\) −255.918 + 1121.25i −0.0267200 + 0.117068i
\(452\) −238.682 + 1045.73i −0.0248377 + 0.108821i
\(453\) 1017.89 693.985i 0.105573 0.0719785i
\(454\) −172.542 + 2302.42i −0.0178366 + 0.238013i
\(455\) 734.755 226.642i 0.0757051 0.0233519i
\(456\) −619.346 93.3514i −0.0636042 0.00958680i
\(457\) −6095.24 + 7643.19i −0.623902 + 0.782349i −0.988888 0.148664i \(-0.952503\pi\)
0.364985 + 0.931013i \(0.381074\pi\)
\(458\) −8272.79 5640.29i −0.844022 0.575444i
\(459\) 2787.27 2586.21i 0.283440 0.262994i
\(460\) −3791.06 + 9659.47i −0.384259 + 0.979076i
\(461\) 12791.8 + 3945.76i 1.29236 + 0.398639i 0.863324 0.504651i \(-0.168379\pi\)
0.429032 + 0.903290i \(0.358855\pi\)
\(462\) −2219.38 1068.80i −0.223495 0.107630i
\(463\) 2997.94 + 7638.63i 0.300920 + 0.766733i 0.998727 + 0.0504463i \(0.0160644\pi\)
−0.697806 + 0.716286i \(0.745840\pi\)
\(464\) −37.4262 499.418i −0.00374454 0.0499674i
\(465\) 1300.63 + 1630.94i 0.129710 + 0.162652i
\(466\) 3134.55 + 5429.20i 0.311599 + 0.539705i
\(467\) −492.030 + 852.220i −0.0487546 + 0.0844455i −0.889373 0.457183i \(-0.848859\pi\)
0.840618 + 0.541628i \(0.182192\pi\)
\(468\) −203.392 + 30.6564i −0.0200893 + 0.00302797i
\(469\) 11775.5 5670.79i 1.15937 0.558321i
\(470\) 3789.21 + 3515.87i 0.371879 + 0.345054i
\(471\) −1389.90 6089.57i −0.135973 0.595738i
\(472\) −18230.7 −1.77783
\(473\) 860.537 6035.77i 0.0836523 0.586734i
\(474\) −4741.46 −0.459457
\(475\) −34.9229 153.007i −0.00337342 0.0147799i
\(476\) −1376.71 1277.40i −0.132566 0.123003i
\(477\) −903.212 + 434.964i −0.0866986 + 0.0417519i
\(478\) 6105.35 920.234i 0.584210 0.0880554i
\(479\) 4799.70 8313.33i 0.457837 0.792997i −0.541009 0.841017i \(-0.681958\pi\)
0.998846 + 0.0480193i \(0.0152909\pi\)
\(480\) −4376.50 7580.32i −0.416164 0.720818i
\(481\) −1105.72 1386.52i −0.104816 0.131435i
\(482\) 216.894 + 2894.25i 0.0204964 + 0.273505i
\(483\) 4136.73 + 10540.2i 0.389705 + 0.992953i
\(484\) −3717.50 1790.25i −0.349126 0.168130i
\(485\) 20850.5 + 6431.53i 1.95211 + 0.602146i
\(486\) −1835.76 + 4677.43i −0.171341 + 0.436569i
\(487\) −7134.05 + 6619.43i −0.663808 + 0.615924i −0.938365 0.345647i \(-0.887659\pi\)
0.274557 + 0.961571i \(0.411469\pi\)
\(488\) −204.156 139.191i −0.0189379 0.0129117i
\(489\) 4203.49 5271.01i 0.388729 0.487450i
\(490\) 2063.67 + 311.049i 0.190260 + 0.0286770i
\(491\) 8112.51 2502.38i 0.745647 0.230001i 0.101428 0.994843i \(-0.467659\pi\)
0.644219 + 0.764841i \(0.277183\pi\)
\(492\) −76.6359 + 1022.63i −0.00702238 + 0.0937072i
\(493\) 3517.91 2398.47i 0.321376 0.219111i
\(494\) 10.8539 47.5541i 0.000988543 0.00433109i
\(495\) −627.914 + 2751.07i −0.0570154 + 0.249801i
\(496\) 103.123 70.3080i 0.00933539 0.00636476i
\(497\) 547.484 7305.67i 0.0494125 0.659365i
\(498\) 9905.47 3055.43i 0.891315 0.274934i
\(499\) −4478.00 674.950i −0.401729 0.0605509i −0.0549295 0.998490i \(-0.517493\pi\)
−0.346799 + 0.937939i \(0.612732\pi\)
\(500\) −3692.53 + 4630.28i −0.330270 + 0.414145i
\(501\) −3866.55 2636.17i −0.344800 0.235081i
\(502\) −5206.16 + 4830.61i −0.462873 + 0.429483i
\(503\) −3175.07 + 8089.95i −0.281450 + 0.717123i 0.718321 + 0.695712i \(0.244911\pi\)
−0.999771 + 0.0214110i \(0.993184\pi\)
\(504\) 3696.33 + 1140.17i 0.326682 + 0.100768i
\(505\) 6958.87 + 3351.21i 0.613199 + 0.295301i
\(506\) 2529.29 + 6444.52i 0.222215 + 0.566194i
\(507\) −657.574 8774.72i −0.0576014 0.768637i
\(508\) 539.601 + 676.638i 0.0471278 + 0.0590964i
\(509\) −8966.35 15530.2i −0.780799 1.35238i −0.931477 0.363800i \(-0.881479\pi\)
0.150678 0.988583i \(-0.451854\pi\)
\(510\) −1101.22 + 1907.36i −0.0956131 + 0.165607i
\(511\) −4630.77 + 697.976i −0.400887 + 0.0604240i
\(512\) −957.637 + 461.174i −0.0826601 + 0.0398070i
\(513\) 755.119 + 700.648i 0.0649890 + 0.0603009i
\(514\) 2613.57 + 11450.8i 0.224280 + 0.982634i
\(515\) −5585.62 −0.477926
\(516\) −43.3880 5436.19i −0.00370165 0.463788i
\(517\) −5115.36 −0.435151
\(518\) 2775.17 + 12158.8i 0.235394 + 1.03133i
\(519\) 6129.09 + 5686.97i 0.518377 + 0.480983i
\(520\) 1010.01 486.396i 0.0851767 0.0410190i
\(521\) 12311.3 1855.62i 1.03525 0.156039i 0.390636 0.920545i \(-0.372255\pi\)
0.644616 + 0.764506i \(0.277017\pi\)
\(522\) −1639.67 + 2840.00i −0.137484 + 0.238129i
\(523\) 7281.36 + 12611.7i 0.608779 + 1.05444i 0.991442 + 0.130549i \(0.0416739\pi\)
−0.382663 + 0.923888i \(0.624993\pi\)
\(524\) −7569.75 9492.17i −0.631080 0.791350i
\(525\) −109.987 1467.68i −0.00914331 0.122009i
\(526\) 1488.29 + 3792.09i 0.123369 + 0.314340i
\(527\) 956.000 + 460.385i 0.0790209 + 0.0380545i
\(528\) −244.979 75.5661i −0.0201920 0.00622840i
\(529\) 7181.03 18297.0i 0.590206 1.50382i
\(530\) 1497.71 1389.68i 0.122748 0.113894i
\(531\) 7040.80 + 4800.34i 0.575414 + 0.392310i
\(532\) 317.229 397.793i 0.0258527 0.0324182i
\(533\) −211.180 31.8303i −0.0171618 0.00258672i
\(534\) −2255.64 + 695.773i −0.182792 + 0.0563840i
\(535\) 232.532 3102.93i 0.0187911 0.250750i
\(536\) 15743.9 10734.0i 1.26872 0.864999i
\(537\) −1390.61 + 6092.66i −0.111749 + 0.489605i
\(538\) 585.519 2565.33i 0.0469211 0.205575i
\(539\) −1706.42 + 1163.42i −0.136365 + 0.0929721i
\(540\) −661.587 + 8828.27i −0.0527225 + 0.703533i
\(541\) 16492.2 5087.17i 1.31064 0.404278i 0.440796 0.897607i \(-0.354696\pi\)
0.869843 + 0.493329i \(0.164220\pi\)
\(542\) 4340.35 + 654.202i 0.343974 + 0.0518457i
\(543\) 7622.08 9557.78i 0.602384 0.755366i
\(544\) −3678.63 2508.05i −0.289926 0.197668i
\(545\) 15273.4 14171.7i 1.20045 1.11385i
\(546\) 167.117 425.807i 0.0130988 0.0333752i
\(547\) −10969.8 3383.73i −0.857467 0.264494i −0.165311 0.986241i \(-0.552863\pi\)
−0.692156 + 0.721748i \(0.743339\pi\)
\(548\) −3622.78 1744.64i −0.282404 0.135999i
\(549\) 42.1957 + 107.513i 0.00328027 + 0.00835800i
\(550\) −67.2486 897.371i −0.00521362 0.0695709i
\(551\) 719.191 + 901.837i 0.0556054 + 0.0697269i
\(552\) 8254.04 + 14296.4i 0.636440 + 1.10235i
\(553\) 5149.98 8920.03i 0.396021 0.685928i
\(554\) −9326.88 + 1405.80i −0.715273 + 0.107810i
\(555\) −19545.5 + 9412.63i −1.49489 + 0.719899i
\(556\) 6944.72 + 6443.76i 0.529715 + 0.491504i
\(557\) −581.527 2547.84i −0.0442371 0.193816i 0.947981 0.318327i \(-0.103121\pi\)
−0.992218 + 0.124511i \(0.960264\pi\)
\(558\) −817.253 −0.0620019
\(559\) 1129.62 + 75.5922i 0.0854702 + 0.00571952i
\(560\) −562.765 −0.0424663
\(561\) −484.993 2124.89i −0.0364999 0.159916i
\(562\) −6573.84 6099.63i −0.493417 0.457824i
\(563\) −10801.6 + 5201.80i −0.808588 + 0.389396i −0.792041 0.610468i \(-0.790982\pi\)
−0.0165469 + 0.999863i \(0.505267\pi\)
\(564\) −4510.28 + 679.816i −0.336733 + 0.0507543i
\(565\) −1366.27 + 2366.45i −0.101733 + 0.176208i
\(566\) −6913.67 11974.8i −0.513433 0.889292i
\(567\) 3183.90 + 3992.49i 0.235822 + 0.295712i
\(568\) −798.196 10651.2i −0.0589640 0.786820i
\(569\) −964.625 2457.83i −0.0710706 0.181085i 0.890925 0.454151i \(-0.150057\pi\)
−0.961995 + 0.273066i \(0.911962\pi\)
\(570\) −537.587 258.888i −0.0395036 0.0190239i
\(571\) −8294.63 2558.55i −0.607915 0.187517i −0.0245116 0.999700i \(-0.507803\pi\)
−0.583403 + 0.812183i \(0.698279\pi\)
\(572\) −151.560 + 386.170i −0.0110788 + 0.0282283i
\(573\) −6136.74 + 5694.07i −0.447410 + 0.415136i
\(574\) 1240.91 + 846.040i 0.0902346 + 0.0615209i
\(575\) −2579.02 + 3233.99i −0.187048 + 0.234550i
\(576\) 3640.09 + 548.655i 0.263316 + 0.0396886i
\(577\) −8191.09 + 2526.62i −0.590987 + 0.182295i −0.575802 0.817589i \(-0.695310\pi\)
−0.0151852 + 0.999885i \(0.504834\pi\)
\(578\) 575.264 7676.37i 0.0413976 0.552413i
\(579\) −11335.2 + 7728.24i −0.813604 + 0.554706i
\(580\) −2205.95 + 9664.91i −0.157926 + 0.691920i
\(581\) −5010.78 + 21953.7i −0.357801 + 1.56763i
\(582\) 10725.1 7312.26i 0.763866 0.520795i
\(583\) −151.095 + 2016.23i −0.0107337 + 0.143231i
\(584\) −6524.28 + 2012.47i −0.462289 + 0.142597i
\(585\) −518.145 78.0979i −0.0366200 0.00551957i
\(586\) −875.072 + 1097.31i −0.0616875 + 0.0773537i
\(587\) −240.917 164.254i −0.0169399 0.0115494i 0.554821 0.831970i \(-0.312787\pi\)
−0.571760 + 0.820421i \(0.693739\pi\)
\(588\) −1349.96 + 1252.58i −0.0946794 + 0.0878496i
\(589\) −105.023 + 267.593i −0.00734699 + 0.0187198i
\(590\) −16595.6 5119.08i −1.15802 0.357202i
\(591\) 17239.1 + 8301.93i 1.19987 + 0.577827i
\(592\) 474.199 + 1208.24i 0.0329214 + 0.0838824i
\(593\) 487.854 + 6509.96i 0.0337838 + 0.450813i 0.988286 + 0.152611i \(0.0487680\pi\)
−0.954503 + 0.298202i \(0.903613\pi\)
\(594\) 3682.63 + 4617.88i 0.254378 + 0.318979i
\(595\) −2392.19 4143.40i −0.164824 0.285484i
\(596\) 7262.58 12579.2i 0.499139 0.864534i
\(597\) −13803.5 + 2080.54i −0.946297 + 0.142631i
\(598\) −1158.27 + 557.794i −0.0792060 + 0.0381436i
\(599\) −11480.7 10652.5i −0.783117 0.726626i 0.183453 0.983028i \(-0.441272\pi\)
−0.966570 + 0.256402i \(0.917463\pi\)
\(600\) −477.480 2091.98i −0.0324884 0.142341i
\(601\) −14074.4 −0.955252 −0.477626 0.878563i \(-0.658503\pi\)
−0.477626 + 0.878563i \(0.658503\pi\)
\(602\) −6926.61 3925.71i −0.468949 0.265780i
\(603\) −8906.79 −0.601513
\(604\) 324.665 + 1422.45i 0.0218716 + 0.0958257i
\(605\) −7705.37 7149.54i −0.517798 0.480446i
\(606\) 4139.82 1993.63i 0.277506 0.133640i
\(607\) −18963.4 + 2858.28i −1.26804 + 0.191127i −0.748394 0.663254i \(-0.769175\pi\)
−0.519648 + 0.854381i \(0.673937\pi\)
\(608\) 603.096 1044.59i 0.0402282 0.0696774i
\(609\) 5408.69 + 9368.12i 0.359887 + 0.623342i
\(610\) −146.762 184.034i −0.00974134 0.0122152i
\(611\) −70.9858 947.240i −0.00470013 0.0627189i
\(612\) 467.582 + 1191.38i 0.0308838 + 0.0786906i
\(613\) 6714.22 + 3233.40i 0.442390 + 0.213044i 0.641799 0.766873i \(-0.278188\pi\)
−0.199410 + 0.979916i \(0.563902\pi\)
\(614\) 10937.7 + 3373.84i 0.718909 + 0.221754i
\(615\) −954.450 + 2431.90i −0.0625807 + 0.159453i
\(616\) 5718.96 5306.42i 0.374064 0.347081i
\(617\) 22547.9 + 15372.9i 1.47122 + 1.00306i 0.992118 + 0.125305i \(0.0399910\pi\)
0.479105 + 0.877758i \(0.340961\pi\)
\(618\) −2071.78 + 2597.93i −0.134853 + 0.169101i
\(619\) 20016.7 + 3017.04i 1.29974 + 0.195905i 0.762205 0.647336i \(-0.224117\pi\)
0.537537 + 0.843240i \(0.319355\pi\)
\(620\) −2360.80 + 728.209i −0.152922 + 0.0471703i
\(621\) 2028.90 27073.8i 0.131106 1.74949i
\(622\) 1344.73 916.819i 0.0866859 0.0591015i
\(623\) 1141.04 4999.21i 0.0733783 0.321492i
\(624\) 10.5934 46.4129i 0.000679610 0.00297757i
\(625\) −14860.6 + 10131.8i −0.951076 + 0.648432i
\(626\) 791.164 10557.3i 0.0505132 0.674052i
\(627\) 564.241 174.045i 0.0359388 0.0110856i
\(628\) 7314.87 + 1102.54i 0.464801 + 0.0700575i
\(629\) −6880.04 + 8627.29i −0.436129 + 0.546888i
\(630\) 3044.67 + 2075.82i 0.192544 + 0.131274i
\(631\) −3971.21 + 3684.74i −0.250541 + 0.232468i −0.795438 0.606035i \(-0.792759\pi\)
0.544897 + 0.838503i \(0.316569\pi\)
\(632\) 5486.20 13978.6i 0.345300 0.879809i
\(633\) 2596.25 + 800.838i 0.163020 + 0.0502851i
\(634\) −15418.1 7424.96i −0.965821 0.465115i
\(635\) 805.489 + 2052.35i 0.0503384 + 0.128260i
\(636\) 134.728 + 1797.82i 0.00839985 + 0.112088i
\(637\) −239.117 299.843i −0.0148731 0.0186503i
\(638\) 3306.99 + 5727.88i 0.205212 + 0.355437i
\(639\) −2496.30 + 4323.73i −0.154542 + 0.267674i
\(640\) 9742.67 1468.47i 0.601739 0.0906975i
\(641\) 1051.10 506.185i 0.0647678 0.0311905i −0.401219 0.915982i \(-0.631414\pi\)
0.465987 + 0.884791i \(0.345699\pi\)
\(642\) −1356.96 1259.07i −0.0834187 0.0774012i
\(643\) −1192.97 5226.73i −0.0731665 0.320563i 0.925079 0.379775i \(-0.123999\pi\)
−0.998245 + 0.0592114i \(0.981141\pi\)
\(644\) −13410.0 −0.820541
\(645\) 3976.39 13266.1i 0.242744 0.809850i
\(646\) −303.503 −0.0184848
\(647\) −2888.67 12656.1i −0.175526 0.769031i −0.983661 0.180033i \(-0.942380\pi\)
0.808134 0.588998i \(-0.200477\pi\)
\(648\) 5457.61 + 5063.93i 0.330857 + 0.306990i
\(649\) 15484.7 7457.03i 0.936559 0.451023i
\(650\) 165.238 24.9056i 0.00997103 0.00150289i
\(651\) −1347.91 + 2334.65i −0.0811502 + 0.140556i
\(652\) 3992.28 + 6914.83i 0.239800 + 0.415346i
\(653\) 16329.2 + 20476.2i 0.978578 + 1.22710i 0.973869 + 0.227109i \(0.0729273\pi\)
0.00470848 + 0.999989i \(0.498501\pi\)
\(654\) −926.278 12360.3i −0.0553828 0.739032i
\(655\) −11299.7 28791.3i −0.674073 1.71751i
\(656\) 140.828 + 67.8192i 0.00838173 + 0.00403643i
\(657\) 3049.62 + 940.684i 0.181092 + 0.0558593i
\(658\) −2440.50 + 6218.30i −0.144591 + 0.368411i
\(659\) 10812.6 10032.6i 0.639149 0.593044i −0.292561 0.956247i \(-0.594507\pi\)
0.931710 + 0.363203i \(0.118317\pi\)
\(660\) 4192.92 + 2858.69i 0.247287 + 0.168597i
\(661\) −12147.1 + 15232.0i −0.714778 + 0.896303i −0.998030 0.0627425i \(-0.980015\pi\)
0.283252 + 0.959046i \(0.408587\pi\)
\(662\) 11066.9 + 1668.07i 0.649742 + 0.0979329i
\(663\) 386.749 119.296i 0.0226547 0.00698805i
\(664\) −2453.40 + 32738.3i −0.143389 + 1.91339i
\(665\) 1070.95 730.158i 0.0624504 0.0425779i
\(666\) 1891.21 8285.95i 0.110035 0.482093i
\(667\) 6765.05 29639.6i 0.392719 1.72061i
\(668\) 4579.25 3122.08i 0.265234 0.180834i
\(669\) −1232.37 + 16444.9i −0.0712202 + 0.950367i
\(670\) 17346.0 5350.53i 1.00020 0.308521i
\(671\) 230.339 + 34.7180i 0.0132521 + 0.00199743i
\(672\) 7052.66 8843.75i 0.404854 0.507671i
\(673\) −13347.2 9099.99i −0.764485 0.521217i 0.117170 0.993112i \(-0.462618\pi\)
−0.881655 + 0.471895i \(0.843570\pi\)
\(674\) 15019.8 13936.3i 0.858368 0.796449i
\(675\) −1289.30 + 3285.07i −0.0735185 + 0.187322i
\(676\) 9958.25 + 3071.71i 0.566582 + 0.174768i
\(677\) 8817.44 + 4246.25i 0.500564 + 0.241059i 0.667089 0.744978i \(-0.267540\pi\)
−0.166525 + 0.986037i \(0.553255\pi\)
\(678\) 593.893 + 1513.22i 0.0336406 + 0.0857149i
\(679\) 2107.24 + 28119.2i 0.119100 + 1.58927i
\(680\) −4349.04 5453.52i −0.245262 0.307548i
\(681\) −2595.11 4494.87i −0.146028 0.252928i
\(682\) −824.142 + 1427.46i −0.0462728 + 0.0801468i
\(683\) −24638.2 + 3713.61i −1.38031 + 0.208049i −0.796892 0.604121i \(-0.793524\pi\)
−0.583421 + 0.812170i \(0.698286\pi\)
\(684\) −312.396 + 150.442i −0.0174631 + 0.00840977i
\(685\) −7509.05 6967.38i −0.418841 0.388628i
\(686\) 2755.26 + 12071.6i 0.153347 + 0.671858i
\(687\) 22507.7 1.24996
\(688\) −773.724 296.560i −0.0428750 0.0164335i
\(689\) −375.454 −0.0207600
\(690\) 3499.41 + 15331.9i 0.193073 + 0.845907i
\(691\) 22030.0 + 20440.8i 1.21282 + 1.12533i 0.988564 + 0.150804i \(0.0481862\pi\)
0.224258 + 0.974530i \(0.428004\pi\)
\(692\) −8921.58 + 4296.41i −0.490098 + 0.236019i
\(693\) −3605.94 + 543.507i −0.197660 + 0.0297924i
\(694\) −2819.70 + 4883.87i −0.154228 + 0.267131i
\(695\) 12067.2 + 20901.1i 0.658614 + 1.14075i
\(696\) 9833.06 + 12330.3i 0.535519 + 0.671520i
\(697\) 99.3057 + 1325.14i 0.00539666 + 0.0720134i
\(698\) −4399.35 11209.4i −0.238564 0.607852i
\(699\) −12697.0 6114.54i −0.687044 0.330863i
\(700\) 1665.64 + 513.781i 0.0899360 + 0.0277416i
\(701\) −4742.01 + 12082.5i −0.255497 + 0.650996i −0.999859 0.0167803i \(-0.994658\pi\)
0.744362 + 0.667776i \(0.232754\pi\)
\(702\) −804.015 + 746.017i −0.0432273 + 0.0401091i
\(703\) −2470.03 1684.04i −0.132516 0.0903482i
\(704\) 4629.08 5804.69i 0.247820 0.310756i
\(705\) −11490.0 1731.85i −0.613816 0.0925179i
\(706\) −9029.90 + 2785.36i −0.481367 + 0.148482i
\(707\) −745.918 + 9953.58i −0.0396791 + 0.529481i
\(708\) 12662.0 8632.83i 0.672131 0.458251i
\(709\) 2318.22 10156.8i 0.122796 0.538005i −0.875684 0.482885i \(-0.839589\pi\)
0.998480 0.0551197i \(-0.0175540\pi\)
\(710\) 2264.19 9920.05i 0.119681 0.524356i
\(711\) −5799.52 + 3954.05i −0.305906 + 0.208563i
\(712\) 558.679 7455.05i 0.0294064 0.392402i
\(713\) 7239.91 2233.22i 0.380276 0.117300i
\(714\) −2814.44 424.208i −0.147518 0.0222347i
\(715\) −658.923 + 826.264i −0.0344648 + 0.0432175i
\(716\) −6115.19 4169.27i −0.319184 0.217616i
\(717\) −10174.4 + 9440.47i −0.529945 + 0.491717i
\(718\) −2460.89 + 6270.23i −0.127910 + 0.325910i
\(719\) −10557.8 3256.66i −0.547623 0.168919i 0.00858409 0.999963i \(-0.497268\pi\)
−0.556207 + 0.831044i \(0.687744\pi\)
\(720\) 345.532 + 166.399i 0.0178850 + 0.00861297i
\(721\) −2637.16 6719.37i −0.136218 0.347077i
\(722\) 913.856 + 12194.6i 0.0471055 + 0.628580i
\(723\) −4067.87 5100.95i −0.209247 0.262388i
\(724\) 7239.09 + 12538.5i 0.371601 + 0.643631i
\(725\) −1975.87 + 3422.30i −0.101216 + 0.175312i
\(726\) −6183.36 + 931.991i −0.316096 + 0.0476438i
\(727\) 17649.8 8499.71i 0.900407 0.433613i 0.0743709 0.997231i \(-0.476305\pi\)
0.826036 + 0.563618i \(0.190591\pi\)
\(728\) 1061.98 + 985.376i 0.0540655 + 0.0501655i
\(729\) −4463.73 19556.9i −0.226781 0.993592i
\(730\) −6504.24 −0.329771
\(731\) −1105.49 6957.22i −0.0559343 0.352014i
\(732\) 207.707 0.0104878
\(733\) −6804.87 29814.1i −0.342897 1.50233i −0.792926 0.609317i \(-0.791444\pi\)
0.450029 0.893014i \(-0.351414\pi\)
\(734\) 2525.41 + 2343.24i 0.126995 + 0.117834i
\(735\) −4226.83 + 2035.53i −0.212121 + 0.102152i
\(736\) −31435.7 + 4738.17i −1.57437 + 0.237298i
\(737\) −8981.88 + 15557.1i −0.448917 + 0.777547i
\(738\) −511.749 886.375i −0.0255254 0.0442112i
\(739\) 16871.2 + 21155.8i 0.839805 + 1.05308i 0.997843 + 0.0656486i \(0.0209116\pi\)
−0.158038 + 0.987433i \(0.550517\pi\)
\(740\) −1920.01 25620.7i −0.0953797 1.27275i
\(741\) 40.0589 + 102.068i 0.00198597 + 0.00506016i
\(742\) 2378.87 + 1145.60i 0.117697 + 0.0566798i
\(743\) −26636.6 8216.30i −1.31521 0.405689i −0.443749 0.896151i \(-0.646352\pi\)
−0.871462 + 0.490462i \(0.836828\pi\)
\(744\) −1435.91 + 3658.64i −0.0707567 + 0.180285i
\(745\) 27125.2 25168.5i 1.33395 1.23772i
\(746\) −13648.2 9305.17i −0.669832 0.456684i
\(747\) 9567.87 11997.7i 0.468634 0.587649i
\(748\) 2552.45 + 384.720i 0.124768 + 0.0188058i
\(749\) 3842.54 1185.27i 0.187454 0.0578220i
\(750\) −670.736 + 8950.35i −0.0326557 + 0.435761i
\(751\) −21510.9 + 14665.9i −1.04520 + 0.712604i −0.958923 0.283668i \(-0.908449\pi\)
−0.0862749 + 0.996271i \(0.527496\pi\)
\(752\) −154.702 + 677.793i −0.00750186 + 0.0328678i
\(753\) 3552.54 15564.7i 0.171928 0.753266i
\(754\) −1014.77 + 691.860i −0.0490131 + 0.0334165i
\(755\) −277.766 + 3706.53i −0.0133893 + 0.178668i
\(756\) −10932.6 + 3372.25i −0.525944 + 0.162232i
\(757\)