Properties

Label 75.4.g.b.16.7
Level $75$
Weight $4$
Character 75.16
Analytic conductor $4.425$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 75 = 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 75.g (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.42514325043\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 16.7
Character \(\chi\) \(=\) 75.16
Dual form 75.4.g.b.61.7

$q$-expansion

\(f(q)\) \(=\) \(q+(3.87763 + 2.81726i) q^{2} +(0.927051 + 2.85317i) q^{3} +(4.62691 + 14.2402i) q^{4} +(7.51887 - 8.27445i) q^{5} +(-4.44337 + 13.6753i) q^{6} +0.140520 q^{7} +(-10.3279 + 31.7859i) q^{8} +(-7.28115 + 5.29007i) q^{9} +O(q^{10})\) \(q+(3.87763 + 2.81726i) q^{2} +(0.927051 + 2.85317i) q^{3} +(4.62691 + 14.2402i) q^{4} +(7.51887 - 8.27445i) q^{5} +(-4.44337 + 13.6753i) q^{6} +0.140520 q^{7} +(-10.3279 + 31.7859i) q^{8} +(-7.28115 + 5.29007i) q^{9} +(52.4667 - 10.9026i) q^{10} +(-38.3073 - 27.8319i) q^{11} +(-36.3402 + 26.4027i) q^{12} +(-27.7836 + 20.1859i) q^{13} +(0.544885 + 0.395882i) q^{14} +(30.5788 + 13.7818i) q^{15} +(-32.6895 + 23.7503i) q^{16} +(5.10385 - 15.7080i) q^{17} -43.1371 q^{18} +(28.1212 - 86.5481i) q^{19} +(152.619 + 68.7848i) q^{20} +(0.130269 + 0.400927i) q^{21} +(-70.1318 - 215.843i) q^{22} +(130.722 + 94.9752i) q^{23} -100.265 q^{24} +(-11.9331 - 124.429i) q^{25} -164.604 q^{26} +(-21.8435 - 15.8702i) q^{27} +(0.650173 + 2.00103i) q^{28} +(-3.81101 - 11.7291i) q^{29} +(79.7463 + 139.589i) q^{30} +(-102.914 + 316.738i) q^{31} +73.7042 q^{32} +(43.8963 - 135.099i) q^{33} +(64.0445 - 46.5310i) q^{34} +(1.05655 - 1.16273i) q^{35} +(-109.021 - 79.2081i) q^{36} +(227.659 - 165.404i) q^{37} +(352.872 - 256.377i) q^{38} +(-83.3507 - 60.5578i) q^{39} +(185.357 + 324.451i) q^{40} +(-101.620 + 73.8315i) q^{41} +(-0.624382 + 1.92165i) q^{42} -529.821 q^{43} +(219.086 - 674.278i) q^{44} +(-10.9737 + 100.023i) q^{45} +(239.322 + 736.558i) q^{46} +(23.1983 + 71.3970i) q^{47} +(-98.0686 - 71.2510i) q^{48} -342.980 q^{49} +(304.278 - 516.109i) q^{50} +49.5492 q^{51} +(-416.003 - 302.244i) q^{52} +(-77.0767 - 237.218i) q^{53} +(-39.9903 - 123.078i) q^{54} +(-518.321 + 107.707i) q^{55} +(-1.45127 + 4.46655i) q^{56} +273.006 q^{57} +(18.2662 - 56.2177i) q^{58} +(217.273 - 157.858i) q^{59} +(-54.7696 + 499.214i) q^{60} +(-299.213 - 217.391i) q^{61} +(-1291.40 + 938.256i) q^{62} +(-1.02315 + 0.743360i) q^{63} +(547.314 + 397.647i) q^{64} +(-41.8736 + 381.669i) q^{65} +(550.822 - 400.196i) q^{66} +(-54.5434 + 167.867i) q^{67} +247.300 q^{68} +(-149.794 + 461.019i) q^{69} +(7.37262 - 1.53204i) q^{70} +(223.142 + 686.762i) q^{71} +(-92.9507 - 286.073i) q^{72} +(1.97619 + 1.43579i) q^{73} +1348.77 q^{74} +(343.955 - 149.399i) q^{75} +1362.57 q^{76} +(-5.38294 - 3.91094i) q^{77} +(-152.596 - 469.642i) q^{78} +(187.778 + 577.921i) q^{79} +(-49.2675 + 449.064i) q^{80} +(25.0304 - 77.0356i) q^{81} -602.049 q^{82} +(-392.005 + 1206.47i) q^{83} +(-5.10653 + 3.71011i) q^{84} +(-91.6001 - 160.338i) q^{85} +(-2054.45 - 1492.65i) q^{86} +(29.9321 - 21.7469i) q^{87} +(1280.29 - 930.187i) q^{88} +(1082.09 + 786.182i) q^{89} +(-324.343 + 356.936i) q^{90} +(-3.90415 + 2.83653i) q^{91} +(-747.623 + 2300.95i) q^{92} -999.114 q^{93} +(-111.190 + 342.207i) q^{94} +(-504.698 - 883.431i) q^{95} +(68.3275 + 210.291i) q^{96} +(-442.269 - 1361.16i) q^{97} +(-1329.95 - 966.266i) q^{98} +426.154 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9} + 165 q^{10} + 19 q^{11} - 60 q^{12} + 4 q^{13} - 24 q^{14} + 45 q^{15} - 66 q^{16} + 208 q^{17} + 42 q^{19} + 295 q^{20} + 3 q^{21} - 89 q^{22} + 32 q^{23} + 126 q^{24} + 95 q^{25} + 206 q^{26} - 189 q^{27} - 482 q^{28} - 716 q^{29} - 645 q^{30} + 637 q^{31} - 844 q^{32} + 42 q^{33} - 90 q^{34} + 430 q^{35} - 180 q^{36} + 216 q^{37} + 2314 q^{38} + 12 q^{39} - 500 q^{40} - 38 q^{41} + 933 q^{42} - 1392 q^{43} + 603 q^{44} + 270 q^{45} + 1622 q^{46} - 536 q^{47} - 198 q^{48} + 162 q^{49} - 2265 q^{50} - 876 q^{51} - 1922 q^{52} + 1672 q^{53} - 1000 q^{55} + 3000 q^{56} - 1104 q^{57} - 827 q^{58} + 973 q^{59} + 1365 q^{60} - 2712 q^{61} + 1057 q^{62} + 234 q^{63} + 4439 q^{64} - 4360 q^{65} + 1098 q^{66} + 2768 q^{67} - 1370 q^{68} + 396 q^{69} + 3230 q^{70} - 1074 q^{71} - 567 q^{72} - 1018 q^{73} - 1414 q^{74} + 765 q^{75} - 11408 q^{76} + 1607 q^{77} + 168 q^{78} - 1820 q^{79} - 1290 q^{80} - 567 q^{81} + 1772 q^{82} + 4045 q^{83} + 774 q^{84} + 1850 q^{85} - 3986 q^{86} + 1392 q^{87} + 2407 q^{88} + 4542 q^{89} - 180 q^{90} + 4412 q^{91} - 1089 q^{92} - 5334 q^{93} + 5137 q^{94} - 720 q^{95} + 1623 q^{96} - 5977 q^{97} - 10689 q^{98} - 594 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).

\(n\) \(26\) \(52\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.87763 + 2.81726i 1.37095 + 0.996053i 0.997662 + 0.0683371i \(0.0217693\pi\)
0.373287 + 0.927716i \(0.378231\pi\)
\(3\) 0.927051 + 2.85317i 0.178411 + 0.549093i
\(4\) 4.62691 + 14.2402i 0.578364 + 1.78002i
\(5\) 7.51887 8.27445i 0.672509 0.740089i
\(6\) −4.44337 + 13.6753i −0.302333 + 0.930485i
\(7\) 0.140520 0.00758737 0.00379368 0.999993i \(-0.498792\pi\)
0.00379368 + 0.999993i \(0.498792\pi\)
\(8\) −10.3279 + 31.7859i −0.456431 + 1.40475i
\(9\) −7.28115 + 5.29007i −0.269672 + 0.195928i
\(10\) 52.4667 10.9026i 1.65914 0.344771i
\(11\) −38.3073 27.8319i −1.05001 0.762875i −0.0777938 0.996969i \(-0.524788\pi\)
−0.972214 + 0.234094i \(0.924788\pi\)
\(12\) −36.3402 + 26.4027i −0.874210 + 0.635150i
\(13\) −27.7836 + 20.1859i −0.592752 + 0.430660i −0.843299 0.537445i \(-0.819390\pi\)
0.250547 + 0.968104i \(0.419390\pi\)
\(14\) 0.544885 + 0.395882i 0.0104019 + 0.00755742i
\(15\) 30.5788 + 13.7818i 0.526361 + 0.237229i
\(16\) −32.6895 + 23.7503i −0.510774 + 0.371099i
\(17\) 5.10385 15.7080i 0.0728156 0.224103i −0.908025 0.418916i \(-0.862410\pi\)
0.980840 + 0.194813i \(0.0624100\pi\)
\(18\) −43.1371 −0.564862
\(19\) 28.1212 86.5481i 0.339549 1.04503i −0.624888 0.780714i \(-0.714855\pi\)
0.964437 0.264311i \(-0.0851446\pi\)
\(20\) 152.619 + 68.7848i 1.70633 + 0.769038i
\(21\) 0.130269 + 0.400927i 0.00135367 + 0.00416617i
\(22\) −70.1318 215.843i −0.679643 2.09173i
\(23\) 130.722 + 94.9752i 1.18511 + 0.861031i 0.992739 0.120292i \(-0.0383831\pi\)
0.192368 + 0.981323i \(0.438383\pi\)
\(24\) −100.265 −0.852771
\(25\) −11.9331 124.429i −0.0954645 0.995433i
\(26\) −164.604 −1.24159
\(27\) −21.8435 15.8702i −0.155695 0.113119i
\(28\) 0.650173 + 2.00103i 0.00438826 + 0.0135057i
\(29\) −3.81101 11.7291i −0.0244030 0.0751048i 0.938113 0.346328i \(-0.112572\pi\)
−0.962516 + 0.271224i \(0.912572\pi\)
\(30\) 79.7463 + 139.589i 0.485321 + 0.849513i
\(31\) −102.914 + 316.738i −0.596257 + 1.83509i −0.0478915 + 0.998853i \(0.515250\pi\)
−0.548366 + 0.836239i \(0.684750\pi\)
\(32\) 73.7042 0.407162
\(33\) 43.8963 135.099i 0.231556 0.712657i
\(34\) 64.0445 46.5310i 0.323045 0.234706i
\(35\) 1.05655 1.16273i 0.00510257 0.00561533i
\(36\) −109.021 79.2081i −0.504725 0.366704i
\(37\) 227.659 165.404i 1.01154 0.734926i 0.0470077 0.998895i \(-0.485031\pi\)
0.964531 + 0.263968i \(0.0850315\pi\)
\(38\) 352.872 256.377i 1.50641 1.09447i
\(39\) −83.3507 60.5578i −0.342226 0.248641i
\(40\) 185.357 + 324.451i 0.732687 + 1.28251i
\(41\) −101.620 + 73.8315i −0.387084 + 0.281233i −0.764259 0.644909i \(-0.776895\pi\)
0.377176 + 0.926142i \(0.376895\pi\)
\(42\) −0.624382 + 1.92165i −0.00229391 + 0.00705993i
\(43\) −529.821 −1.87900 −0.939500 0.342549i \(-0.888710\pi\)
−0.939500 + 0.342549i \(0.888710\pi\)
\(44\) 219.086 674.278i 0.750647 2.31025i
\(45\) −10.9737 + 100.023i −0.0363524 + 0.331345i
\(46\) 239.322 + 736.558i 0.767090 + 2.36086i
\(47\) 23.1983 + 71.3970i 0.0719962 + 0.221581i 0.980579 0.196122i \(-0.0628350\pi\)
−0.908583 + 0.417704i \(0.862835\pi\)
\(48\) −98.0686 71.2510i −0.294896 0.214254i
\(49\) −342.980 −0.999942
\(50\) 304.278 516.109i 0.860627 1.45978i
\(51\) 49.5492 0.136045
\(52\) −416.003 302.244i −1.10941 0.806033i
\(53\) −77.0767 237.218i −0.199760 0.614799i −0.999888 0.0149695i \(-0.995235\pi\)
0.800127 0.599830i \(-0.204765\pi\)
\(54\) −39.9903 123.078i −0.100778 0.310162i
\(55\) −518.321 + 107.707i −1.27074 + 0.264059i
\(56\) −1.45127 + 4.46655i −0.00346311 + 0.0106584i
\(57\) 273.006 0.634395
\(58\) 18.2662 56.2177i 0.0413530 0.127272i
\(59\) 217.273 157.858i 0.479432 0.348328i −0.321674 0.946851i \(-0.604245\pi\)
0.801106 + 0.598523i \(0.204245\pi\)
\(60\) −54.7696 + 499.214i −0.117845 + 1.07414i
\(61\) −299.213 217.391i −0.628038 0.456296i 0.227682 0.973736i \(-0.426885\pi\)
−0.855720 + 0.517439i \(0.826885\pi\)
\(62\) −1291.40 + 938.256i −2.64529 + 1.92191i
\(63\) −1.02315 + 0.743360i −0.00204610 + 0.00148658i
\(64\) 547.314 + 397.647i 1.06897 + 0.776654i
\(65\) −41.8736 + 381.669i −0.0799042 + 0.728312i
\(66\) 550.822 400.196i 1.02730 0.746374i
\(67\) −54.5434 + 167.867i −0.0994558 + 0.306094i −0.988389 0.151943i \(-0.951447\pi\)
0.888933 + 0.458036i \(0.151447\pi\)
\(68\) 247.300 0.441022
\(69\) −149.794 + 461.019i −0.261349 + 0.804351i
\(70\) 7.37262 1.53204i 0.0125885 0.00261590i
\(71\) 223.142 + 686.762i 0.372988 + 1.14794i 0.944826 + 0.327572i \(0.106230\pi\)
−0.571839 + 0.820366i \(0.693770\pi\)
\(72\) −92.9507 286.073i −0.152144 0.468250i
\(73\) 1.97619 + 1.43579i 0.00316844 + 0.00230201i 0.589368 0.807864i \(-0.299377\pi\)
−0.586200 + 0.810166i \(0.699377\pi\)
\(74\) 1348.77 2.11879
\(75\) 343.955 149.399i 0.529553 0.230015i
\(76\) 1362.57 2.05655
\(77\) −5.38294 3.91094i −0.00796679 0.00578822i
\(78\) −152.596 469.642i −0.221514 0.681749i
\(79\) 187.778 + 577.921i 0.267426 + 0.823053i 0.991125 + 0.132937i \(0.0424407\pi\)
−0.723698 + 0.690116i \(0.757559\pi\)
\(80\) −49.2675 + 449.064i −0.0688535 + 0.627586i
\(81\) 25.0304 77.0356i 0.0343352 0.105673i
\(82\) −602.049 −0.810795
\(83\) −392.005 + 1206.47i −0.518411 + 1.59551i 0.258577 + 0.965991i \(0.416747\pi\)
−0.776988 + 0.629515i \(0.783253\pi\)
\(84\) −5.10653 + 3.71011i −0.00663295 + 0.00481912i
\(85\) −91.6001 160.338i −0.116887 0.204601i
\(86\) −2054.45 1492.65i −2.57601 1.87158i
\(87\) 29.9321 21.7469i 0.0368857 0.0267990i
\(88\) 1280.29 930.187i 1.55091 1.12680i
\(89\) 1082.09 + 786.182i 1.28878 + 0.936350i 0.999780 0.0209802i \(-0.00667870\pi\)
0.288996 + 0.957330i \(0.406679\pi\)
\(90\) −324.343 + 356.936i −0.379875 + 0.418049i
\(91\) −3.90415 + 2.83653i −0.00449743 + 0.00326757i
\(92\) −747.623 + 2300.95i −0.847229 + 2.60750i
\(93\) −999.114 −1.11401
\(94\) −111.190 + 342.207i −0.122004 + 0.375489i
\(95\) −504.698 883.431i −0.545063 0.954086i
\(96\) 68.3275 + 210.291i 0.0726422 + 0.223570i
\(97\) −442.269 1361.16i −0.462944 1.42480i −0.861550 0.507673i \(-0.830506\pi\)
0.398605 0.917122i \(-0.369494\pi\)
\(98\) −1329.95 966.266i −1.37087 0.995996i
\(99\) 426.154 0.432627
\(100\) 1716.68 745.651i 1.71668 0.745651i
\(101\) −374.102 −0.368559 −0.184280 0.982874i \(-0.558995\pi\)
−0.184280 + 0.982874i \(0.558995\pi\)
\(102\) 192.133 + 139.593i 0.186510 + 0.135508i
\(103\) −623.556 1919.11i −0.596512 1.83588i −0.547050 0.837100i \(-0.684249\pi\)
−0.0494621 0.998776i \(-0.515751\pi\)
\(104\) −354.683 1091.60i −0.334419 1.02923i
\(105\) 4.29693 + 1.93662i 0.00399369 + 0.00179995i
\(106\) 369.430 1136.99i 0.338511 1.04183i
\(107\) 1679.71 1.51761 0.758804 0.651319i \(-0.225784\pi\)
0.758804 + 0.651319i \(0.225784\pi\)
\(108\) 124.927 384.484i 0.111306 0.342565i
\(109\) −16.3651 + 11.8899i −0.0143806 + 0.0104481i −0.594952 0.803761i \(-0.702829\pi\)
0.580572 + 0.814209i \(0.302829\pi\)
\(110\) −2313.30 1042.60i −2.00513 0.903707i
\(111\) 682.978 + 496.212i 0.584012 + 0.424310i
\(112\) −4.59354 + 3.33740i −0.00387543 + 0.00281567i
\(113\) 519.810 377.664i 0.432740 0.314404i −0.350004 0.936748i \(-0.613820\pi\)
0.782744 + 0.622344i \(0.213820\pi\)
\(114\) 1058.62 + 769.130i 0.869724 + 0.631891i
\(115\) 1768.75 367.548i 1.43423 0.298035i
\(116\) 149.391 108.539i 0.119574 0.0868757i
\(117\) 95.5114 293.954i 0.0754704 0.232274i
\(118\) 1287.23 1.00423
\(119\) 0.717193 2.20729i 0.000552479 0.00170035i
\(120\) −753.879 + 829.637i −0.573495 + 0.631126i
\(121\) 281.534 + 866.472i 0.211521 + 0.650993i
\(122\) −547.790 1685.92i −0.406513 1.25112i
\(123\) −304.861 221.494i −0.223483 0.162370i
\(124\) −4986.58 −3.61135
\(125\) −1119.31 836.827i −0.800910 0.598785i
\(126\) −6.06163 −0.00428582
\(127\) 959.422 + 697.061i 0.670354 + 0.487041i 0.870144 0.492798i \(-0.164026\pi\)
−0.199790 + 0.979839i \(0.564026\pi\)
\(128\) 819.798 + 2523.08i 0.566099 + 1.74227i
\(129\) −491.171 1511.67i −0.335234 1.03175i
\(130\) −1237.63 + 1362.00i −0.834982 + 0.918889i
\(131\) −68.9399 + 212.175i −0.0459794 + 0.141510i −0.971411 0.237406i \(-0.923703\pi\)
0.925431 + 0.378916i \(0.123703\pi\)
\(132\) 2126.93 1.40247
\(133\) 3.95159 12.1617i 0.00257629 0.00792900i
\(134\) −684.426 + 497.265i −0.441234 + 0.320575i
\(135\) −295.555 + 61.4166i −0.188425 + 0.0391548i
\(136\) 446.582 + 324.461i 0.281574 + 0.204575i
\(137\) 1277.88 928.434i 0.796910 0.578989i −0.113096 0.993584i \(-0.536077\pi\)
0.910006 + 0.414595i \(0.136077\pi\)
\(138\) −1879.66 + 1365.65i −1.15947 + 0.842407i
\(139\) −1266.31 920.031i −0.772715 0.561410i 0.130069 0.991505i \(-0.458480\pi\)
−0.902784 + 0.430095i \(0.858480\pi\)
\(140\) 21.4460 + 9.66565i 0.0129465 + 0.00583497i
\(141\) −182.202 + 132.377i −0.108824 + 0.0790652i
\(142\) −1069.52 + 3291.66i −0.632060 + 1.94528i
\(143\) 1626.13 0.950934
\(144\) 112.377 345.860i 0.0650328 0.200150i
\(145\) −125.706 56.6556i −0.0719955 0.0324482i
\(146\) 3.61796 + 11.1349i 0.00205085 + 0.00631187i
\(147\) −317.960 978.581i −0.178401 0.549061i
\(148\) 3408.74 + 2476.59i 1.89322 + 1.37551i
\(149\) 192.635 0.105915 0.0529574 0.998597i \(-0.483135\pi\)
0.0529574 + 0.998597i \(0.483135\pi\)
\(150\) 1754.63 + 389.696i 0.955098 + 0.212124i
\(151\) 1052.83 0.567406 0.283703 0.958912i \(-0.408437\pi\)
0.283703 + 0.958912i \(0.408437\pi\)
\(152\) 2460.57 + 1787.71i 1.31302 + 0.953964i
\(153\) 45.9346 + 141.372i 0.0242719 + 0.0747011i
\(154\) −9.85492 30.3303i −0.00515670 0.0158707i
\(155\) 1847.03 + 3233.07i 0.957143 + 1.67540i
\(156\) 476.697 1467.12i 0.244656 0.752973i
\(157\) 2045.26 1.03968 0.519838 0.854265i \(-0.325992\pi\)
0.519838 + 0.854265i \(0.325992\pi\)
\(158\) −900.022 + 2769.98i −0.453177 + 1.39473i
\(159\) 605.369 439.826i 0.301942 0.219374i
\(160\) 554.172 609.862i 0.273820 0.301336i
\(161\) 18.3691 + 13.3459i 0.00899184 + 0.00653296i
\(162\) 314.088 228.198i 0.152328 0.110673i
\(163\) −686.057 + 498.449i −0.329669 + 0.239519i −0.740290 0.672287i \(-0.765312\pi\)
0.410621 + 0.911806i \(0.365312\pi\)
\(164\) −1521.56 1105.48i −0.724475 0.526362i
\(165\) −787.818 1379.01i −0.371706 0.650640i
\(166\) −4918.99 + 3573.85i −2.29992 + 1.67099i
\(167\) 609.520 1875.91i 0.282432 0.869235i −0.704725 0.709480i \(-0.748930\pi\)
0.987157 0.159755i \(-0.0510703\pi\)
\(168\) −14.0892 −0.00647028
\(169\) −314.456 + 967.796i −0.143130 + 0.440508i
\(170\) 96.5236 879.794i 0.0435472 0.396924i
\(171\) 253.091 + 778.933i 0.113183 + 0.348342i
\(172\) −2451.44 7544.74i −1.08675 3.34466i
\(173\) −2190.53 1591.51i −0.962676 0.699425i −0.00890552 0.999960i \(-0.502835\pi\)
−0.953771 + 0.300535i \(0.902835\pi\)
\(174\) 177.332 0.0772617
\(175\) −1.67683 17.4848i −0.000724324 0.00755272i
\(176\) 1913.26 0.819419
\(177\) 651.818 + 473.574i 0.276800 + 0.201107i
\(178\) 1981.05 + 6097.05i 0.834191 + 2.56738i
\(179\) 967.918 + 2978.95i 0.404165 + 1.24389i 0.921590 + 0.388164i \(0.126891\pi\)
−0.517425 + 0.855729i \(0.673109\pi\)
\(180\) −1475.12 + 306.530i −0.610826 + 0.126930i
\(181\) 97.9741 301.533i 0.0402340 0.123828i −0.928922 0.370275i \(-0.879263\pi\)
0.969156 + 0.246448i \(0.0792634\pi\)
\(182\) −23.1301 −0.00942042
\(183\) 342.868 1055.24i 0.138500 0.426259i
\(184\) −4368.95 + 3174.23i −1.75045 + 1.27178i
\(185\) 343.113 3127.41i 0.136358 1.24287i
\(186\) −3874.20 2814.77i −1.52726 1.10962i
\(187\) −632.699 + 459.682i −0.247420 + 0.179761i
\(188\) −909.369 + 660.695i −0.352779 + 0.256309i
\(189\) −3.06944 2.23008i −0.00118132 0.000858278i
\(190\) 531.826 4847.49i 0.203067 1.85091i
\(191\) −1358.71 + 987.161i −0.514727 + 0.373971i −0.814614 0.580004i \(-0.803051\pi\)
0.299887 + 0.953975i \(0.403051\pi\)
\(192\) −627.166 + 1930.22i −0.235739 + 0.725529i
\(193\) −1449.62 −0.540653 −0.270326 0.962769i \(-0.587132\pi\)
−0.270326 + 0.962769i \(0.587132\pi\)
\(194\) 2119.80 6524.08i 0.784499 2.41444i
\(195\) −1127.79 + 234.355i −0.414166 + 0.0860640i
\(196\) −1586.94 4884.09i −0.578330 1.77992i
\(197\) −327.751 1008.71i −0.118535 0.364812i 0.874133 0.485686i \(-0.161430\pi\)
−0.992668 + 0.120874i \(0.961430\pi\)
\(198\) 1652.47 + 1200.59i 0.593110 + 0.430919i
\(199\) −183.077 −0.0652159 −0.0326080 0.999468i \(-0.510381\pi\)
−0.0326080 + 0.999468i \(0.510381\pi\)
\(200\) 4078.33 + 905.783i 1.44191 + 0.320243i
\(201\) −529.519 −0.185818
\(202\) −1450.63 1053.94i −0.505276 0.367105i
\(203\) −0.535524 1.64817i −0.000185155 0.000569848i
\(204\) 229.260 + 705.589i 0.0786833 + 0.242162i
\(205\) −153.155 + 1395.98i −0.0521797 + 0.475608i
\(206\) 2988.71 9198.31i 1.01084 3.11105i
\(207\) −1454.23 −0.488291
\(208\) 428.809 1319.74i 0.142945 0.439940i
\(209\) −3486.04 + 2532.76i −1.15375 + 0.838251i
\(210\) 11.2060 + 19.6151i 0.00368231 + 0.00644557i
\(211\) 3968.01 + 2882.93i 1.29464 + 0.940611i 0.999888 0.0149634i \(-0.00476319\pi\)
0.294751 + 0.955574i \(0.404763\pi\)
\(212\) 3021.39 2195.17i 0.978821 0.711155i
\(213\) −1752.58 + 1273.33i −0.563779 + 0.409610i
\(214\) 6513.31 + 4732.20i 2.08056 + 1.51162i
\(215\) −3983.66 + 4383.98i −1.26364 + 1.39063i
\(216\) 730.044 530.408i 0.229969 0.167082i
\(217\) −14.4615 + 44.5080i −0.00452402 + 0.0139235i
\(218\) −96.9547 −0.0301220
\(219\) −2.26452 + 6.96947i −0.000698730 + 0.00215047i
\(220\) −3932.00 6882.63i −1.20498 2.10921i
\(221\) 175.278 + 539.451i 0.0533507 + 0.164196i
\(222\) 1250.37 + 3848.26i 0.378016 + 1.16341i
\(223\) 3913.55 + 2843.36i 1.17521 + 0.853837i 0.991623 0.129167i \(-0.0412303\pi\)
0.183583 + 0.983004i \(0.441230\pi\)
\(224\) 10.3569 0.00308929
\(225\) 745.125 + 842.861i 0.220778 + 0.249736i
\(226\) 3079.61 0.906428
\(227\) 36.2582 + 26.3431i 0.0106015 + 0.00770244i 0.593073 0.805148i \(-0.297914\pi\)
−0.582472 + 0.812851i \(0.697914\pi\)
\(228\) 1263.17 + 3887.65i 0.366911 + 1.12924i
\(229\) −1285.44 3956.19i −0.370937 1.14163i −0.946179 0.323643i \(-0.895092\pi\)
0.575243 0.817983i \(-0.304908\pi\)
\(230\) 7894.04 + 3557.83i 2.26312 + 1.01998i
\(231\) 6.16830 18.9841i 0.00175690 0.00540719i
\(232\) 412.179 0.116642
\(233\) 910.177 2801.24i 0.255913 0.787619i −0.737736 0.675090i \(-0.764105\pi\)
0.993648 0.112529i \(-0.0358952\pi\)
\(234\) 1198.50 870.764i 0.334823 0.243263i
\(235\) 765.196 + 344.872i 0.212408 + 0.0957318i
\(236\) 3253.22 + 2363.61i 0.897317 + 0.651939i
\(237\) −1474.83 + 1071.52i −0.404221 + 0.293684i
\(238\) 8.99953 6.53854i 0.00245106 0.00178080i
\(239\) −1759.24 1278.16i −0.476133 0.345931i 0.323694 0.946162i \(-0.395075\pi\)
−0.799827 + 0.600231i \(0.795075\pi\)
\(240\) −1326.93 + 275.737i −0.356887 + 0.0741613i
\(241\) −1861.30 + 1352.31i −0.497496 + 0.361452i −0.808060 0.589100i \(-0.799482\pi\)
0.310564 + 0.950553i \(0.399482\pi\)
\(242\) −1349.40 + 4153.01i −0.358440 + 1.10316i
\(243\) 243.000 0.0641500
\(244\) 1711.25 5266.69i 0.448982 1.38182i
\(245\) −2578.83 + 2837.97i −0.672470 + 0.740047i
\(246\) −558.130 1717.75i −0.144655 0.445201i
\(247\) 965.748 + 2972.27i 0.248782 + 0.765671i
\(248\) −9004.91 6542.45i −2.30569 1.67519i
\(249\) −3805.66 −0.968571
\(250\) −1982.69 6398.29i −0.501586 1.61865i
\(251\) 3368.55 0.847096 0.423548 0.905874i \(-0.360785\pi\)
0.423548 + 0.905874i \(0.360785\pi\)
\(252\) −15.3196 11.1303i −0.00382954 0.00278232i
\(253\) −2364.27 7276.49i −0.587513 1.80818i
\(254\) 1756.48 + 5405.89i 0.433903 + 1.33542i
\(255\) 372.554 409.992i 0.0914912 0.100685i
\(256\) −2256.86 + 6945.91i −0.550992 + 1.69578i
\(257\) 404.905 0.0982772 0.0491386 0.998792i \(-0.484352\pi\)
0.0491386 + 0.998792i \(0.484352\pi\)
\(258\) 2354.19 7245.46i 0.568084 1.74838i
\(259\) 31.9907 23.2426i 0.00767492 0.00557616i
\(260\) −5628.78 + 1169.66i −1.34262 + 0.278998i
\(261\) 89.7963 + 65.2408i 0.0212960 + 0.0154724i
\(262\) −865.077 + 628.515i −0.203987 + 0.148205i
\(263\) 1225.42 890.319i 0.287310 0.208743i −0.434790 0.900532i \(-0.643177\pi\)
0.722100 + 0.691789i \(0.243177\pi\)
\(264\) 3840.88 + 2790.56i 0.895416 + 0.650558i
\(265\) −2542.38 1145.84i −0.589347 0.265617i
\(266\) 49.5856 36.0261i 0.0114297 0.00830413i
\(267\) −1239.96 + 3816.21i −0.284211 + 0.874712i
\(268\) −2642.83 −0.602374
\(269\) −584.624 + 1799.29i −0.132510 + 0.407823i −0.995194 0.0979190i \(-0.968781\pi\)
0.862685 + 0.505742i \(0.168781\pi\)
\(270\) −1319.08 594.507i −0.297321 0.134002i
\(271\) −647.179 1991.81i −0.145068 0.446472i 0.851952 0.523620i \(-0.175419\pi\)
−0.997020 + 0.0771477i \(0.975419\pi\)
\(272\) 206.229 + 634.707i 0.0459722 + 0.141488i
\(273\) −11.7124 8.50959i −0.00259659 0.00188653i
\(274\) 7570.79 1.66923
\(275\) −3005.97 + 5098.66i −0.659153 + 1.11804i
\(276\) −7258.08 −1.58292
\(277\) 1207.64 + 877.405i 0.261950 + 0.190318i 0.711006 0.703185i \(-0.248240\pi\)
−0.449056 + 0.893504i \(0.648240\pi\)
\(278\) −2318.33 7135.08i −0.500159 1.53933i
\(279\) −926.230 2850.64i −0.198752 0.611697i
\(280\) 26.0463 + 45.5919i 0.00555917 + 0.00973085i
\(281\) 639.509 1968.21i 0.135765 0.417841i −0.859943 0.510389i \(-0.829501\pi\)
0.995708 + 0.0925483i \(0.0295013\pi\)
\(282\) −1079.45 −0.227945
\(283\) 1050.32 3232.55i 0.220618 0.678992i −0.778089 0.628154i \(-0.783811\pi\)
0.998707 0.0508383i \(-0.0161893\pi\)
\(284\) −8747.13 + 6355.17i −1.82763 + 1.32785i
\(285\) 2052.70 2258.98i 0.426636 0.469509i
\(286\) 6305.52 + 4581.23i 1.30368 + 0.947180i
\(287\) −14.2797 + 10.3748i −0.00293695 + 0.00213382i
\(288\) −536.651 + 389.900i −0.109800 + 0.0797746i
\(289\) 3754.01 + 2727.45i 0.764097 + 0.555149i
\(290\) −327.829 573.837i −0.0663821 0.116196i
\(291\) 3473.62 2523.74i 0.699751 0.508399i
\(292\) −11.3022 + 34.7846i −0.00226511 + 0.00697128i
\(293\) 7677.60 1.53082 0.765410 0.643543i \(-0.222536\pi\)
0.765410 + 0.643543i \(0.222536\pi\)
\(294\) 1523.99 4690.35i 0.302316 0.930432i
\(295\) 327.459 2984.73i 0.0646285 0.589076i
\(296\) 2906.28 + 8944.62i 0.570690 + 1.75640i
\(297\) 395.066 + 1215.89i 0.0771854 + 0.237552i
\(298\) 746.968 + 542.704i 0.145204 + 0.105497i
\(299\) −5549.09 −1.07329
\(300\) 3718.92 + 4206.71i 0.715706 + 0.809583i
\(301\) −74.4505 −0.0142567
\(302\) 4082.49 + 2966.11i 0.777885 + 0.565166i
\(303\) −346.811 1067.38i −0.0657551 0.202373i
\(304\) 1136.28 + 3497.10i 0.214375 + 0.659779i
\(305\) −4048.54 + 841.288i −0.760061 + 0.157941i
\(306\) −220.165 + 677.599i −0.0411308 + 0.126588i
\(307\) −4507.90 −0.838043 −0.419022 0.907976i \(-0.637627\pi\)
−0.419022 + 0.907976i \(0.637627\pi\)
\(308\) 30.7860 94.7495i 0.00569543 0.0175287i
\(309\) 4897.47 3558.22i 0.901642 0.655081i
\(310\) −1946.31 + 17740.2i −0.356590 + 3.25025i
\(311\) −5715.86 4152.81i −1.04218 0.757185i −0.0714665 0.997443i \(-0.522768\pi\)
−0.970709 + 0.240258i \(0.922768\pi\)
\(312\) 2785.72 2023.94i 0.505481 0.367254i
\(313\) −1669.65 + 1213.07i −0.301516 + 0.219064i −0.728247 0.685314i \(-0.759665\pi\)
0.426732 + 0.904378i \(0.359665\pi\)
\(314\) 7930.75 + 5762.02i 1.42534 + 1.03557i
\(315\) −1.54202 + 14.0552i −0.000275819 + 0.00251404i
\(316\) −7360.86 + 5347.97i −1.31038 + 0.952048i
\(317\) 2656.46 8175.75i 0.470668 1.44857i −0.381044 0.924557i \(-0.624435\pi\)
0.851712 0.524010i \(-0.175565\pi\)
\(318\) 3586.50 0.632456
\(319\) −180.453 + 555.378i −0.0316722 + 0.0974771i
\(320\) 7405.49 1538.87i 1.29369 0.268829i
\(321\) 1557.18 + 4792.51i 0.270758 + 0.833308i
\(322\) 33.6295 + 103.501i 0.00582019 + 0.0179127i
\(323\) −1215.97 883.456i −0.209469 0.152188i
\(324\) 1212.81 0.207958
\(325\) 2843.26 + 3216.20i 0.485279 + 0.548932i
\(326\) −4064.54 −0.690533
\(327\) −49.0952 35.6698i −0.00830266 0.00603224i
\(328\) −1297.28 3992.61i −0.218385 0.672119i
\(329\) 3.25983 + 10.0327i 0.000546262 + 0.00168122i
\(330\) 830.163 7566.77i 0.138482 1.26223i
\(331\) 80.2294 246.921i 0.0133227 0.0410030i −0.944174 0.329447i \(-0.893138\pi\)
0.957497 + 0.288444i \(0.0931378\pi\)
\(332\) −18994.1 −3.13986
\(333\) −782.623 + 2408.67i −0.128791 + 0.396379i
\(334\) 7648.42 5556.90i 1.25300 0.910360i
\(335\) 978.905 + 1713.49i 0.159652 + 0.279457i
\(336\) −13.7806 10.0122i −0.00223748 0.00162563i
\(337\) −5437.56 + 3950.62i −0.878940 + 0.638587i −0.932971 0.359952i \(-0.882793\pi\)
0.0540310 + 0.998539i \(0.482793\pi\)
\(338\) −3945.88 + 2866.85i −0.634993 + 0.461349i
\(339\) 1559.43 + 1132.99i 0.249843 + 0.181521i
\(340\) 1859.42 2046.27i 0.296591 0.326396i
\(341\) 12757.8 9269.08i 2.02602 1.47199i
\(342\) −1213.07 + 3733.44i −0.191799 + 0.590296i
\(343\) −96.3940 −0.0151743
\(344\) 5471.92 16840.8i 0.857634 2.63953i
\(345\) 2688.40 + 4705.81i 0.419532 + 0.734355i
\(346\) −4010.36 12342.6i −0.623116 1.91775i
\(347\) −2206.24 6790.12i −0.341318 1.05047i −0.963525 0.267617i \(-0.913764\pi\)
0.622207 0.782853i \(-0.286236\pi\)
\(348\) 448.173 + 325.617i 0.0690362 + 0.0501577i
\(349\) −11473.4 −1.75976 −0.879879 0.475198i \(-0.842376\pi\)
−0.879879 + 0.475198i \(0.842376\pi\)
\(350\) 42.7571 72.5236i 0.00652989 0.0110759i
\(351\) 927.244 0.141005
\(352\) −2823.41 2051.33i −0.427523 0.310614i
\(353\) 18.4180 + 56.6848i 0.00277703 + 0.00854683i 0.952435 0.304740i \(-0.0985697\pi\)
−0.949658 + 0.313287i \(0.898570\pi\)
\(354\) 1193.33 + 3672.69i 0.179166 + 0.551416i
\(355\) 7360.35 + 3317.29i 1.10041 + 0.495954i
\(356\) −6188.64 + 19046.7i −0.921341 + 2.83560i
\(357\) 6.96265 0.00103222
\(358\) −4639.25 + 14278.1i −0.684893 + 2.10788i
\(359\) 6311.85 4585.83i 0.927930 0.674180i −0.0175554 0.999846i \(-0.505588\pi\)
0.945485 + 0.325666i \(0.105588\pi\)
\(360\) −3065.98 1381.83i −0.448865 0.202302i
\(361\) −1150.72 836.048i −0.167768 0.121891i
\(362\) 1229.41 893.216i 0.178498 0.129686i
\(363\) −2211.20 + 1606.53i −0.319718 + 0.232289i
\(364\) −58.4568 42.4713i −0.00841749 0.00611567i
\(365\) 26.7391 5.55641i 0.00383449 0.000796810i
\(366\) 4302.40 3125.87i 0.614453 0.446426i
\(367\) −489.265 + 1505.80i −0.0695897 + 0.214175i −0.979803 0.199964i \(-0.935917\pi\)
0.910213 + 0.414139i \(0.135917\pi\)
\(368\) −6528.94 −0.924850
\(369\) 349.340 1075.16i 0.0492842 0.151681i
\(370\) 10141.2 11160.3i 1.42491 1.56810i
\(371\) −10.8308 33.3339i −0.00151566 0.00466471i
\(372\) −4622.81 14227.5i −0.644305 1.98297i
\(373\) 9045.77 + 6572.14i 1.25569 + 0.912312i 0.998538 0.0540593i \(-0.0172160\pi\)
0.257152 + 0.966371i \(0.417216\pi\)
\(374\) −3748.42 −0.518252
\(375\) 1349.96 3969.35i 0.185897 0.546604i
\(376\) −2509.01 −0.344128
\(377\) 342.646 + 248.947i 0.0468095 + 0.0340091i
\(378\) −5.61944 17.2949i −0.000764637 0.00235331i
\(379\) −3622.62 11149.3i −0.490980 1.51108i −0.823129 0.567855i \(-0.807773\pi\)
0.332148 0.943227i \(-0.392227\pi\)
\(380\) 10245.0 11274.5i 1.38305 1.52203i
\(381\) −1099.40 + 3383.61i −0.147832 + 0.454980i
\(382\) −8049.67 −1.07816
\(383\) −2865.21 + 8818.21i −0.382260 + 1.17647i 0.556189 + 0.831056i \(0.312263\pi\)
−0.938449 + 0.345419i \(0.887737\pi\)
\(384\) −6438.78 + 4678.05i −0.855671 + 0.621681i
\(385\) −72.8345 + 15.1351i −0.00964153 + 0.00200352i
\(386\) −5621.09 4083.96i −0.741207 0.538519i
\(387\) 3857.71 2802.79i 0.506714 0.368150i
\(388\) 17336.8 12596.0i 2.26841 1.64810i
\(389\) 1085.01 + 788.308i 0.141420 + 0.102748i 0.656246 0.754547i \(-0.272143\pi\)
−0.514826 + 0.857295i \(0.672143\pi\)
\(390\) −5033.38 2268.53i −0.653525 0.294542i
\(391\) 2159.06 1568.65i 0.279254 0.202890i
\(392\) 3542.25 10901.9i 0.456405 1.40467i
\(393\) −669.283 −0.0859054
\(394\) 1570.92 4834.78i 0.200867 0.618205i
\(395\) 6193.86 + 2791.56i 0.788979 + 0.355591i
\(396\) 1971.77 + 6068.50i 0.250216 + 0.770085i
\(397\) 3512.37 + 10810.0i 0.444032 + 1.36659i 0.883542 + 0.468353i \(0.155152\pi\)
−0.439510 + 0.898238i \(0.644848\pi\)
\(398\) −709.904 515.775i −0.0894077 0.0649585i
\(399\) 38.3628 0.00481339
\(400\) 3345.32 + 3784.12i 0.418165 + 0.473015i
\(401\) −12421.7 −1.54690 −0.773451 0.633856i \(-0.781471\pi\)
−0.773451 + 0.633856i \(0.781471\pi\)
\(402\) −2053.28 1491.79i −0.254747 0.185084i
\(403\) −3534.33 10877.5i −0.436867 1.34454i
\(404\) −1730.93 5327.27i −0.213161 0.656043i
\(405\) −449.227 786.333i −0.0551167 0.0964771i
\(406\) 2.56677 7.89972i 0.000313761 0.000965656i
\(407\) −13324.5 −1.62278
\(408\) −511.737 + 1574.96i −0.0620950 + 0.191109i
\(409\) −10450.7 + 7592.88i −1.26346 + 0.917956i −0.998922 0.0464199i \(-0.985219\pi\)
−0.264536 + 0.964376i \(0.585219\pi\)
\(410\) −4526.73 + 4981.62i −0.545266 + 0.600060i
\(411\) 3833.64 + 2785.30i 0.460096 + 0.334279i
\(412\) 24443.3 17759.1i 2.92289 2.12361i
\(413\) 30.5312 22.1822i 0.00363763 0.00264289i
\(414\) −5638.98 4096.96i −0.669422 0.486364i
\(415\) 7035.42 + 12314.9i 0.832181 + 1.45666i
\(416\) −2047.77 + 1487.79i −0.241346 + 0.175348i
\(417\) 1451.07 4465.92i 0.170405 0.524454i
\(418\) −20653.0 −2.41668
\(419\) −1286.38 + 3959.06i −0.149985 + 0.461605i −0.997618 0.0689767i \(-0.978027\pi\)
0.847634 + 0.530582i \(0.178027\pi\)
\(420\) −7.69622 + 70.1495i −0.000894136 + 0.00814987i
\(421\) −4618.97 14215.7i −0.534714 1.64568i −0.744265 0.667884i \(-0.767200\pi\)
0.209551 0.977798i \(-0.432800\pi\)
\(422\) 7264.50 + 22357.8i 0.837987 + 2.57906i
\(423\) −546.606 397.132i −0.0628295 0.0456483i
\(424\) 8336.21 0.954817
\(425\) −2015.44 447.622i −0.230031 0.0510891i
\(426\) −10383.2 −1.18091
\(427\) −42.0454 30.5478i −0.00476515 0.00346209i
\(428\) 7771.89 + 23919.4i 0.877730 + 2.70137i
\(429\) 1507.50 + 4639.61i 0.169657 + 0.522151i
\(430\) −27798.0 + 5776.44i −3.11753 + 0.647825i
\(431\) −3943.96 + 12138.2i −0.440774 + 1.35656i 0.446278 + 0.894894i \(0.352749\pi\)
−0.887052 + 0.461669i \(0.847251\pi\)
\(432\) 1090.98 0.121504
\(433\) 240.260 739.444i 0.0266655 0.0820679i −0.936838 0.349763i \(-0.886262\pi\)
0.963504 + 0.267695i \(0.0862621\pi\)
\(434\) −181.467 + 131.844i −0.0200708 + 0.0145823i
\(435\) 45.1117 411.184i 0.00497227 0.0453213i
\(436\) −245.034 178.028i −0.0269151 0.0195550i
\(437\) 11896.0 8642.94i 1.30220 0.946105i
\(438\) −28.4158 + 20.6453i −0.00309991 + 0.00225221i
\(439\) −8038.76 5840.50i −0.873961 0.634970i 0.0576858 0.998335i \(-0.481628\pi\)
−0.931647 + 0.363365i \(0.881628\pi\)
\(440\) 1929.57 17587.7i 0.209065 1.90559i
\(441\) 2497.29 1814.39i 0.269657 0.195917i
\(442\) −840.111 + 2585.60i −0.0904073 + 0.278245i
\(443\) 7139.86 0.765745 0.382873 0.923801i \(-0.374935\pi\)
0.382873 + 0.923801i \(0.374935\pi\)
\(444\) −3906.07 + 12021.6i −0.417508 + 1.28496i
\(445\) 14641.3 3042.47i 1.55970 0.324106i
\(446\) 7164.81 + 22051.0i 0.760681 + 2.34114i
\(447\) 178.583 + 549.621i 0.0188964 + 0.0581570i
\(448\) 76.9086 + 55.8773i 0.00811069 + 0.00589276i
\(449\) 10438.2 1.09712 0.548560 0.836111i \(-0.315176\pi\)
0.548560 + 0.836111i \(0.315176\pi\)
\(450\) 514.758 + 5367.51i 0.0539243 + 0.562282i
\(451\) 5947.67 0.620986
\(452\) 7783.11 + 5654.76i 0.809926 + 0.588446i
\(453\) 976.029 + 3003.91i 0.101231 + 0.311558i
\(454\) 66.3804 + 204.298i 0.00686208 + 0.0211193i
\(455\) −5.88407 + 53.6322i −0.000606263 + 0.00552597i
\(456\) −2819.57 + 8677.74i −0.289558 + 0.891167i
\(457\) 5039.76 0.515864 0.257932 0.966163i \(-0.416959\pi\)
0.257932 + 0.966163i \(0.416959\pi\)
\(458\) 6161.15 18962.1i 0.628584 1.93458i
\(459\) −360.775 + 262.119i −0.0366875 + 0.0266550i
\(460\) 13417.8 + 23486.7i 1.36002 + 2.38059i
\(461\) −1482.67 1077.22i −0.149794 0.108831i 0.510364 0.859958i \(-0.329511\pi\)
−0.660158 + 0.751127i \(0.729511\pi\)
\(462\) 77.4016 56.2355i 0.00779447 0.00566302i
\(463\) −1527.01 + 1109.44i −0.153275 + 0.111361i −0.661779 0.749699i \(-0.730198\pi\)
0.508505 + 0.861059i \(0.330198\pi\)
\(464\) 403.150 + 292.906i 0.0403358 + 0.0293056i
\(465\) −7512.21 + 8267.12i −0.749184 + 0.824470i
\(466\) 11421.2 8297.96i 1.13535 0.824883i
\(467\) −1218.86 + 3751.27i −0.120775 + 0.371708i −0.993108 0.117205i \(-0.962607\pi\)
0.872332 + 0.488913i \(0.162607\pi\)
\(468\) 4627.87 0.457101
\(469\) −7.66444 + 23.5887i −0.000754608 + 0.00232244i
\(470\) 1995.55 + 3493.05i 0.195847 + 0.342813i
\(471\) 1896.06 + 5835.46i 0.185490 + 0.570879i
\(472\) 2773.69 + 8536.54i 0.270486 + 0.832470i
\(473\) 20296.0 + 14745.9i 1.97296 + 1.43344i
\(474\) −8737.60 −0.846690
\(475\) −11104.7 2466.31i −1.07267 0.238236i
\(476\) 34.7506 0.00334620
\(477\) 1816.11 + 1319.48i 0.174327 + 0.126656i
\(478\) −3220.76 9912.49i −0.308189 0.948507i
\(479\) −3324.76 10232.6i −0.317144 0.976070i −0.974863 0.222806i \(-0.928478\pi\)
0.657718 0.753264i \(-0.271522\pi\)
\(480\) 2253.78 + 1015.78i 0.214314 + 0.0965908i
\(481\) −2986.35 + 9191.03i −0.283089 + 0.871258i
\(482\) −11027.2 −1.04207
\(483\) −21.0491 + 64.7825i −0.00198295 + 0.00610291i
\(484\) −11036.1 + 8018.17i −1.03645 + 0.753022i
\(485\) −14588.2 6574.88i −1.36581 0.615567i
\(486\) 942.264 + 684.595i 0.0879464 + 0.0638968i
\(487\) −2581.85 + 1875.82i −0.240236 + 0.174542i −0.701388 0.712779i \(-0.747436\pi\)
0.461153 + 0.887321i \(0.347436\pi\)
\(488\) 10000.2 7265.56i 0.927638 0.673968i
\(489\) −2058.17 1495.35i −0.190335 0.138286i
\(490\) −17995.0 + 3739.38i −1.65905 + 0.344751i
\(491\) −755.541 + 548.933i −0.0694442 + 0.0504541i −0.621966 0.783044i \(-0.713666\pi\)
0.552522 + 0.833499i \(0.313666\pi\)
\(492\) 1743.55 5366.10i 0.159767 0.491713i
\(493\) −203.692 −0.0186082
\(494\) −4628.84 + 14246.1i −0.421582 + 1.29750i
\(495\) 3204.20 3526.19i 0.290945 0.320183i
\(496\) −4158.41 12798.3i −0.376448 1.15859i
\(497\) 31.3560 + 96.5037i 0.00282999 + 0.00870983i
\(498\) −14757.0 10721.6i −1.32786 0.964748i
\(499\) 5499.10 0.493333 0.246667 0.969100i \(-0.420665\pi\)
0.246667 + 0.969100i \(0.420665\pi\)
\(500\) 6737.63 19811.0i 0.602632 1.77195i
\(501\) 5917.34 0.527679
\(502\) 13062.0 + 9490.09i 1.16133 + 0.843752i
\(503\) −3452.50 10625.7i −0.306042 0.941901i −0.979286 0.202481i \(-0.935100\pi\)
0.673244 0.739420i \(-0.264900\pi\)
\(504\) −13.0614 40.1990i −0.00115437 0.00355279i
\(505\) −2812.82 + 3095.49i −0.247859 + 0.272767i
\(506\) 11332.0 34876.3i 0.995591 3.06411i
\(507\) −3052.80 −0.267416
\(508\) −5487.10 + 16887.6i −0.479234 + 1.47493i
\(509\) 6938.79 5041.32i 0.604236 0.439003i −0.243144 0.969990i \(-0.578179\pi\)
0.847380 + 0.530987i \(0.178179\pi\)
\(510\) 2599.68 540.216i 0.225718 0.0469042i
\(511\) 0.277695 + 0.201757i 2.40401e−5 + 1.74662e-5i
\(512\) −11149.7 + 8100.70i −0.962403 + 0.699226i
\(513\) −1987.80 + 1444.22i −0.171079 + 0.124296i
\(514\) 1570.07 + 1140.72i 0.134733 + 0.0978893i
\(515\) −20568.0 9269.94i −1.75987 0.793170i
\(516\) 19253.8 13988.7i 1.64264 1.19345i
\(517\) 1098.45 3380.68i 0.0934425 0.287586i
\(518\) 189.529 0.0160761
\(519\) 2510.13 7725.37i 0.212297 0.653384i
\(520\) −11699.2 5272.81i −0.986625 0.444670i
\(521\) −6097.64 18766.6i −0.512750 1.57808i −0.787339 0.616520i \(-0.788542\pi\)
0.274589 0.961562i \(-0.411458\pi\)
\(522\) 164.396 + 505.960i 0.0137843 + 0.0424239i
\(523\) −13230.4 9612.48i −1.10617 0.803680i −0.124114 0.992268i \(-0.539609\pi\)
−0.982056 + 0.188588i \(0.939609\pi\)
\(524\) −3340.39 −0.278484
\(525\) 48.3325 20.9936i 0.00401791 0.00174521i
\(526\) 7259.98 0.601807
\(527\) 4450.07 + 3233.17i 0.367833 + 0.267246i
\(528\) 1773.69 + 5458.87i 0.146193 + 0.449937i
\(529\) 4308.19 + 13259.2i 0.354088 + 1.08977i
\(530\) −6630.26 11605.7i −0.543396 0.951169i
\(531\) −746.917 + 2298.78i −0.0610423 + 0.187869i
\(532\) 191.469 0.0156038
\(533\) 1333.02 4102.60i 0.108329 0.333402i
\(534\) −15559.4 + 11304.6i −1.26090 + 0.916097i
\(535\) 12629.6 13898.7i 1.02060 1.12317i
\(536\) −4772.49 3467.42i −0.384590 0.279421i
\(537\) −7602.13 + 5523.27i −0.610905 + 0.443849i
\(538\) −7336.02 + 5329.93i −0.587878 + 0.427118i
\(539\) 13138.6 + 9545.79i 1.04995 + 0.762831i
\(540\) −2242.09 3924.59i −0.178674 0.312754i
\(541\) −11519.4 + 8369.30i −0.915445 + 0.665110i −0.942386 0.334527i \(-0.891423\pi\)
0.0269410 + 0.999637i \(0.491423\pi\)
\(542\) 3101.94 9546.78i 0.245830 0.756585i
\(543\) 951.153 0.0751710
\(544\) 376.175 1157.75i 0.0296477 0.0912463i
\(545\) −24.6644 + 224.811i −0.00193854 + 0.0176694i
\(546\) −21.4428 65.9941i −0.00168071 0.00517268i
\(547\) 2168.92 + 6675.24i 0.169536 + 0.521778i 0.999342 0.0362740i \(-0.0115489\pi\)
−0.829806 + 0.558052i \(0.811549\pi\)
\(548\) 19133.7 + 13901.4i 1.49152 + 1.08365i
\(549\) 3328.63 0.258766
\(550\) −26020.3 + 11302.1i −2.01729 + 0.876225i
\(551\) −1122.30 −0.0867725
\(552\) −13106.9 9522.68i −1.01062 0.734262i
\(553\) 26.3866 + 81.2095i 0.00202906 + 0.00624481i
\(554\) 2210.92 + 6804.50i 0.169554 + 0.521833i
\(555\) 9241.11 1920.31i 0.706780 0.146869i
\(556\) 7242.27 22289.4i 0.552411 1.70015i
\(557\) 6144.57 0.467421 0.233711 0.972306i \(-0.424913\pi\)
0.233711 + 0.972306i \(0.424913\pi\)
\(558\) 4439.43 13663.2i 0.336803 1.03657i
\(559\) 14720.3 10694.9i 1.11378 0.809209i
\(560\) −6.92307 + 63.1025i −0.000522416 + 0.00476173i
\(561\) −1898.10 1379.05i −0.142848 0.103785i
\(562\) 8024.74 5830.31i 0.602319 0.437610i
\(563\) −13890.4 + 10092.0i −1.03981 + 0.755463i −0.970248 0.242115i \(-0.922159\pi\)
−0.0695583 + 0.997578i \(0.522159\pi\)
\(564\) −2728.11 1982.09i −0.203677 0.147980i
\(565\) 783.423 7140.75i 0.0583343 0.531706i
\(566\) 13179.7 9575.59i 0.978769 0.711117i
\(567\) 3.51727 10.8250i 0.000260514 0.000801780i
\(568\) −24133.9 −1.78281
\(569\) −4813.01 + 14812.9i −0.354608 + 1.09137i 0.601629 + 0.798776i \(0.294519\pi\)
−0.956236 + 0.292595i \(0.905481\pi\)
\(570\) 14323.7 2976.48i 1.05255 0.218721i
\(571\) −6553.52 20169.7i −0.480309 1.47824i −0.838662 0.544653i \(-0.816661\pi\)
0.358353 0.933586i \(-0.383339\pi\)
\(572\) 7523.94 + 23156.3i 0.549985 + 1.69268i
\(573\) −4076.13 2961.48i −0.297178 0.215912i
\(574\) −84.5999 −0.00615180
\(575\) 10257.8 17399.0i 0.743963 1.26189i
\(576\) −6088.65 −0.440441
\(577\) 1675.68 + 1217.45i 0.120900 + 0.0878392i 0.646592 0.762836i \(-0.276194\pi\)
−0.525692 + 0.850675i \(0.676194\pi\)
\(578\) 6872.72 + 21152.1i 0.494580 + 1.52216i
\(579\) −1343.87 4136.01i −0.0964584 0.296868i
\(580\) 225.152 2052.22i 0.0161189 0.146920i
\(581\) −55.0846 + 169.533i −0.00393338 + 0.0121057i
\(582\) 20579.5 1.46571
\(583\) −3649.62 + 11232.4i −0.259265 + 0.797936i
\(584\) −66.0477 + 47.9864i −0.00467992 + 0.00340016i
\(585\) −1714.17 3000.51i −0.121149 0.212061i
\(586\) 29770.9 + 21629.8i 2.09868 + 1.52478i
\(587\) −16771.4 + 12185.2i −1.17927 + 0.856789i −0.992089 0.125537i \(-0.959935\pi\)
−0.187180 + 0.982326i \(0.559935\pi\)
\(588\) 12464.0 9055.61i 0.874159 0.635114i
\(589\) 24519.0 + 17814.1i 1.71526 + 1.24621i
\(590\) 9678.53 10651.1i 0.675354 0.743220i
\(591\) 2574.19 1870.26i 0.179168 0.130173i
\(592\) −3513.67 + 10814.0i −0.243938 + 0.750763i
\(593\) −1924.00 −0.133236 −0.0666182 0.997779i \(-0.521221\pi\)
−0.0666182 + 0.997779i \(0.521221\pi\)
\(594\) −1893.56 + 5827.77i −0.130797 + 0.402553i
\(595\) −12.8717 22.5307i −0.000886868 0.00155239i
\(596\) 891.306 + 2743.16i 0.0612572 + 0.188530i
\(597\) −169.721 522.349i −0.0116352 0.0358096i
\(598\) −21517.3 15633.3i −1.47142 1.06905i
\(599\) −8088.34 −0.551720 −0.275860 0.961198i \(-0.588963\pi\)
−0.275860 + 0.961198i \(0.588963\pi\)
\(600\) 1196.47 + 12475.9i 0.0814093 + 0.848876i
\(601\) 19953.8 1.35430 0.677149 0.735846i \(-0.263215\pi\)
0.677149 + 0.735846i \(0.263215\pi\)
\(602\) −288.692 209.747i −0.0195452 0.0142004i
\(603\) −490.891 1510.81i −0.0331519 0.102031i
\(604\) 4871.36 + 14992.5i 0.328167 + 1.00999i
\(605\) 9286.40 + 4185.36i 0.624043 + 0.281254i
\(606\) 1662.27 5115.95i 0.111428 0.342939i
\(607\) −3633.68 −0.242976 −0.121488 0.992593i \(-0.538767\pi\)
−0.121488 + 0.992593i \(0.538767\pi\)
\(608\) 2072.65 6378.95i 0.138252 0.425495i
\(609\) 4.20606 3.05588i 0.000279866 0.000203334i
\(610\) −18068.9 8143.59i −1.19932 0.540532i
\(611\) −2085.75 1515.38i −0.138102 0.100337i
\(612\) −1800.63 + 1308.23i −0.118932 + 0.0864088i
\(613\) 1279.79 929.823i 0.0843235 0.0612646i −0.544825 0.838550i \(-0.683404\pi\)
0.629148 + 0.777285i \(0.283404\pi\)
\(614\) −17480.0 12699.9i −1.14892 0.834736i
\(615\) −4124.96 + 857.168i −0.270462 + 0.0562022i
\(616\) 179.907 130.710i 0.0117673 0.00854944i
\(617\) 1376.37 4236.04i 0.0898065 0.276396i −0.896059 0.443935i \(-0.853582\pi\)
0.985865 + 0.167539i \(0.0535820\pi\)
\(618\) 29015.0 1.88860
\(619\) −812.796 + 2501.53i −0.0527771 + 0.162431i −0.973971 0.226673i \(-0.927215\pi\)
0.921194 + 0.389104i \(0.127215\pi\)
\(620\) −37493.4 + 41261.2i −2.42867 + 2.67272i
\(621\) −1348.15 4149.18i −0.0871165 0.268117i
\(622\) −10464.4 32206.2i −0.674574 2.07612i
\(623\) 152.055 + 110.474i 0.00977841 + 0.00710443i
\(624\) 4162.97 0.267071
\(625\) −15340.2 + 2969.64i −0.981773 + 0.190057i
\(626\) −9891.85 −0.631562
\(627\) −10458.1 7598.27i −0.666120 0.483965i
\(628\) 9463.21 + 29124.8i 0.601311 + 1.85064i
\(629\) −1436.23 4420.28i −0.0910436 0.280203i
\(630\) −45.5766 + 50.1567i −0.00288225 + 0.00317189i
\(631\) −5221.29 + 16069.5i −0.329407 + 1.01381i 0.640004 + 0.768371i \(0.278933\pi\)
−0.969412 + 0.245441i \(0.921067\pi\)
\(632\) −20309.1 −1.27825
\(633\) −4546.93 + 13994.0i −0.285504 + 0.878692i
\(634\) 33334.0 24218.6i 2.08811 1.51710i
\(635\) 12981.6 2697.58i 0.811272 0.168583i
\(636\) 9064.18 + 6585.51i 0.565123 + 0.410586i
\(637\) 9529.22 6923.38i 0.592718 0.430635i
\(638\) −2264.38 + 1645.17i −0.140513 + 0.102089i
\(639\) −5257.75 3819.98i −0.325498 0.236488i
\(640\) 27041.1 + 12187.3i 1.67014 + 0.752730i
\(641\) −23303.3 + 16930.8i −1.43592 + 1.04326i −0.447046 + 0.894511i \(0.647524\pi\)
−0.988875 + 0.148746i \(0.952476\pi\)
\(642\) −7463.59 + 22970.6i −0.458823 + 1.41211i
\(643\) 10219.9 0.626801 0.313400 0.949621i \(-0.398532\pi\)
0.313400 + 0.949621i \(0.398532\pi\)
\(644\) −105.056 + 323.329i −0.00642824 + 0.0197841i
\(645\) −16201.3 7301.89i −0.989032 0.445754i
\(646\) −2226.17 6851.44i −0.135584 0.417285i
\(647\) −553.877 1704.66i −0.0336555 0.103581i 0.932818 0.360349i \(-0.117342\pi\)
−0.966473 + 0.256768i \(0.917342\pi\)
\(648\) 2190.13 + 1591.22i 0.132772 + 0.0964648i
\(649\) −12716.6 −0.769138
\(650\) 1964.22 + 20481.5i 0.118528 + 1.23592i
\(651\) −140.396 −0.00845243
\(652\) −10272.3 7463.28i −0.617017 0.448289i
\(653\) −4142.49 12749.3i −0.248252 0.764040i −0.995085 0.0990282i \(-0.968427\pi\)
0.746833 0.665012i \(-0.231573\pi\)
\(654\) −89.8820 276.628i −0.00537410 0.0165398i
\(655\) 1237.28 + 2165.76i 0.0738086 + 0.129196i
\(656\) 1568.40 4827.03i 0.0933471 0.287293i
\(657\) −21.9844 −0.00130547
\(658\) −15.6244 + 48.0869i −0.000925687 + 0.00284897i
\(659\) 12492.5 9076.37i 0.738453 0.536518i −0.153773 0.988106i \(-0.549142\pi\)
0.892226 + 0.451589i \(0.149142\pi\)
\(660\) 15992.1 17599.2i 0.943171 1.03795i
\(661\) −3524.55 2560.74i −0.207397 0.150682i 0.479238 0.877685i \(-0.340913\pi\)
−0.686635 + 0.727002i \(0.740913\pi\)
\(662\) 1006.74 731.440i 0.0591059 0.0429429i
\(663\) −1376.65 + 1000.20i −0.0806407 + 0.0585889i
\(664\) −34300.0 24920.4i −2.00467 1.45648i
\(665\) −70.9202 124.140i −0.00413559 0.00723900i
\(666\) −9820.57 + 7135.06i −0.571380 + 0.415132i
\(667\) 615.790 1895.21i 0.0357473 0.110019i
\(668\) 29533.4 1.71060
\(669\) −4484.53 + 13802.0i −0.259166 + 0.797631i
\(670\) −1031.52 + 9402.12i −0.0594793 + 0.542143i
\(671\) 5411.64 + 16655.3i 0.311347 + 0.958229i
\(672\) 9.60139 + 29.5500i 0.000551163 + 0.00169631i
\(673\) 14252.6 + 10355.1i 0.816341 + 0.593107i 0.915662 0.401949i \(-0.131667\pi\)
−0.0993208 + 0.995055i \(0.531667\pi\)
\(674\) −32214.8 −1.84105
\(675\) −1714.06 + 2907.34i −0.0977393 + 0.165783i
\(676\) −15236.5 −0.866894
\(677\) −2665.42 1936.54i −0.151315 0.109937i 0.509552 0.860440i \(-0.329811\pi\)
−0.660867 + 0.750503i \(0.729811\pi\)
\(678\) 2854.96 + 8786.65i 0.161717 + 0.497713i
\(679\) −62.1476 191.271i −0.00351253 0.0108104i
\(680\) 6042.52 1255.64i 0.340765 0.0708111i
\(681\) −41.5482 + 127.872i −0.00233793 + 0.00719541i
\(682\) 75583.4 4.24375
\(683\) 1492.40 4593.13i 0.0836091 0.257322i −0.900509 0.434837i \(-0.856806\pi\)
0.984118 + 0.177515i \(0.0568058\pi\)
\(684\) −9921.10 + 7208.10i −0.554595 + 0.402937i
\(685\) 1925.94 17554.5i 0.107425 0.979159i
\(686\) −373.780 271.567i −0.0208032 0.0151144i
\(687\) 10096.0 7335.17i 0.560679 0.407357i
\(688\) 17319.6 12583.4i 0.959745 0.697295i
\(689\) 6929.93 + 5034.89i 0.383178 + 0.278395i
\(690\) −2832.90 + 25821.3i −0.156299 + 1.42464i
\(691\) −18874.8 + 13713.3i −1.03912 + 0.754964i −0.970113 0.242652i \(-0.921983\pi\)
−0.0690054 + 0.997616i \(0.521983\pi\)
\(692\) 12528.0 38557.3i 0.688214 2.11811i
\(693\) 59.8831 0.00328250
\(694\) 10574.6 32545.2i 0.578393 1.78011i
\(695\) −17134.0 + 3560.46i −0.935151 + 0.194325i
\(696\) 382.111 + 1176.02i 0.0208102 + 0.0640471i
\(697\) 641.092 + 1973.08i 0.0348395 + 0.107225i
\(698\) −44489.5 32323.5i −2.41254 1.75281i
\(699\) 8836.19 0.478134
\(700\) 241.228 104.779i 0.0130251 0.00565753i
\(701\) 27619.7 1.48813 0.744066 0.668106i \(-0.232895\pi\)
0.744066 + 0.668106i \(0.232895\pi\)
\(702\) 3595.51 + 2612.29i 0.193310 + 0.140448i
\(703\) −7913.36 24354.8i −0.424549 1.30663i
\(704\) −9898.86 30465.6i −0.529939 1.63099i
\(705\) −274.603 + 2502.95i −0.0146697 + 0.133711i
\(706\) −88.2778 + 271.691i −0.00470592 + 0.0144833i
\(707\) −52.5688 −0.00279640
\(708\) −3727.86 + 11473.2i −0.197884 + 0.609023i
\(709\) −20888.3 + 15176.2i −1.10645 + 0.803886i −0.982101 0.188353i \(-0.939685\pi\)
−0.124352 + 0.992238i \(0.539685\pi\)
\(710\) 19195.0 + 33599.3i 1.01462 + 1.77600i
\(711\) −4424.48 3214.57i −0.233377 0.169558i
\(712\) −36165.1 + 26275.5i −1.90358 + 1.38303i
\(713\) −43535.5 + 31630.4i −2.28670 + 1.66138i
\(714\) 26.9986 + 19.6156i 0.00141512 + 0.00102815i
\(715\) 12226.6 13455.3i 0.639511 0.703776i
\(716\) −37942.2 + 27566.6i −1.98040 + 1.43884i
\(717\) 2015.91 6204.33i 0.105001 0.323159i
\(718\) 37394.5 1.94366
\(719\) −5049.02 + 15539.3i −0.261887 + 0.806005i 0.730507 + 0.682905i \(0.239284\pi\)
−0.992394 + 0.123100i \(0.960716\pi\)
\(720\) −2016.85 3530.33i −0.104394 0.182733i
\(721\) −87.6220 269.673i −0.00452596 0.0139295i
\(722\) −2106.70 6483.77i −0.108592 0.334212i
\(723\) −5583.89 4056.93i −0.287230 0.208684i
\(724\) 4747.20 0.243685
\(725\) −1413.96 + 614.165i −0.0724321 + 0.0314614i
\(726\) −13100.2 −0.669689
\(727\) 5895.72 + 4283.49i 0.300771 + 0.218523i 0.727926 0.685655i \(-0.240484\pi\)
−0.427156 + 0.904178i \(0.640484\pi\)
\(728\) −49.8401 153.392i −0.00253736 0.00780918i
\(729\) 225.273 + 693.320i 0.0114451 + 0.0352243i
\(730\) 119.338 + 53.7855i 0.00605056 + 0.00272697i
\(731\) −2704.13 + 8322.45i −0.136821 + 0.421090i
\(732\) 16613.2 0.838853
\(733\) −3717.51 + 11441.3i −0.187325 + 0.576528i −0.999981 0.00621681i \(-0.998021\pi\)
0.812656 + 0.582744i \(0.198021\pi\)
\(734\) −6139.43 + 4460.56i −0.308734 + 0.224308i
\(735\) −10487.9 4726.88i −0.526330 0.237216i
\(736\) 9634.77 + 7000.07i 0.482530 + 0.350579i
\(737\) 6761.48 4912.50i 0.337941 0.245528i
\(738\) 4383.61 3184.88i 0.218649 0.158858i
\(739\) 12267.2 + 8912.61i 0.610629 + 0.443648i 0.849636 0.527370i \(-0.176822\pi\)
−0.239007 + 0.971018i \(0.576822\pi\)
\(740\) 46122.3 9584.25i 2.29120 0.476113i
\(741\) −7585.08 + 5510.89i −0.376039 + 0.273208i
\(742\) 51.9123 159.770i 0.00256841 0.00790475i
\(743\) −22772.8 −1.12443 −0.562216 0.826991i \(-0.690051\pi\)
−0.562216 + 0.826991i \(0.690051\pi\)
\(744\) 10318.7 31757.7i 0.508471 1.56491i
\(745\) 1448.40 1593.95i 0.0712286 0.0783864i
\(746\) 16560.7 + 50968.6i 0.812776 + 2.50147i
\(747\) −3528.05 10858.2i −0.172804 0.531835i
\(748\) −9473.39 6882.82i −0.463077 0.336445i
\(749\) 236.034 0.0115147
\(750\) 16417.3 11588.5i 0.799302 0.564202i
\(751\) −27855.5 −1.35348 −0.676739 0.736223i \(-0.736608\pi\)
−0.676739 + 0.736223i \(0.736608\pi\)
\(752\) −2454.05 1782.97i −0.119002 0.0864604i
\(753\) 3122.82 + 9611.04i 0.151131 + 0.465134i
\(754\) 627.306 + 1930.65i 0.0302986 + 0.0932495i
\(755\) 7916.11 8711.61i 0.381585 0.419931i
\(756\) 17.5547 54.0277i 0.000844520 0.00259917i
\(757\) 302.235 0.0145111 0.00725557 0.999974i \(-0.497690\pi\)
0.00725557 + 0.999974i \(0.497690\pi\)
\(758\) 17363.3 53438.7i 0.832009 2.56066i
\(759\) 18569.3 13491.4i 0.888038 0.645198i
\(760\) 33293.1 6918.32i 1.58904 0.330202i
\(761\) 3638.31 + 2643.38i 0.173309 + 0.125917i 0.671058 0.741404i \(-0.265840\pi\)
−0.497749 + 0.867321i \(0.665840\pi\)
\(762\) −13795.6 + 10023.1i −0.655854 + 0.476506i
\(763\) −2.29962 + 1.67077i −0.000109111 + 7.92739e-5i
\(764\) −20344.0 14780.7i −0.963375 0.699933i
\(765\) 1515.15 + 682.876i 0.0716085 + 0.0322738i
\(766\) −35953.5 + 26121.7i −1.69589 + 1.23214i
\(767\) −2850.10 + 8771.71i −0.134174 + 0.412944i
\(768\) −21910.1 −1.02944
\(769\) 753.619 2319.40i 0.0353397 0.108764i −0.931831 0.362894i \(-0.881789\pi\)
0.967170 + 0.254129i \(0.0817889\pi\)
\(770\) −325.065