Properties

Label 75.4.g.b.61.7
Level $75$
Weight $4$
Character 75.61
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 61.7
Character \(\chi\) \(=\) 75.61
Dual form 75.4.g.b.16.7

$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).

\(n\) \(26\) \(52\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{5}\right)\)

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 0.373287 0.927716i \(-0.378231\pi\)
0.997662 0.0683371i \(-0.0217693\pi\)
\(3\) 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 −0.972214 0.234094i \(-0.924788\pi\)
−0.0777938 + 0.996969i \(0.524788\pi\)
\(12\) −36.3402 26.4027i −0.874210 0.635150i
\(13\) −27.7836 20.1859i −0.592752 0.430660i 0.250547 0.968104i \(-0.419390\pi\)
−0.843299 + 0.537445i \(0.819390\pi\)
\(14\) 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 0.980840 0.194813i \(-0.0624100\pi\)
−0.908025 + 0.418916i \(0.862410\pi\)
\(18\) −43.1371 −0.564862
\(19\) 28.1212 + 86.5481i 0.339549 + 1.04503i 0.964437 + 0.264311i \(0.0851446\pi\)
−0.624888 + 0.780714i \(0.714855\pi\)
\(20\) 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 0.192368 0.981323i \(-0.438383\pi\)
0.992739 + 0.120292i \(0.0383831\pi\)
\(24\) −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 −0.962516 0.271224i \(-0.912572\pi\)
0.938113 + 0.346328i \(0.112572\pi\)
\(30\) 79.7463 139.589i 0.485321 0.849513i
\(31\) −102.914 316.738i −0.596257 1.83509i −0.548366 0.836239i \(-0.684750\pi\)
−0.0478915 0.998853i \(-0.515250\pi\)
\(32\) 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 0.964531 0.263968i \(-0.0850315\pi\)
0.0470077 + 0.998895i \(0.485031\pi\)
\(38\) 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 0.377176 0.926142i \(-0.376895\pi\)
−0.764259 + 0.644909i \(0.776895\pi\)
\(42\) −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 −0.908583 0.417704i \(-0.862835\pi\)
0.980579 + 0.196122i \(0.0628350\pi\)
\(48\) −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 0.800127 + 0.599830i \(0.204765\pi\)
−0.999888 + 0.0149695i \(0.995235\pi\)
\(54\) −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 0.801106 0.598523i \(-0.204245\pi\)
−0.321674 + 0.946851i \(0.604245\pi\)
\(60\) −54.7696 499.214i −0.117845 1.07414i
\(61\) −299.213 + 217.391i −0.628038 + 0.456296i −0.855720 0.517439i \(-0.826885\pi\)
0.227682 + 0.973736i \(0.426885\pi\)
\(62\) −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 0.888933 0.458036i \(-0.151447\pi\)
−0.988389 + 0.151943i \(0.951447\pi\)
\(68\) 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 −0.571839 0.820366i \(-0.693770\pi\)
0.944826 0.327572i \(-0.106230\pi\)
\(72\) −92.9507 + 286.073i −0.152144 + 0.468250i
\(73\) 1.97619 1.43579i 0.00316844 0.00230201i −0.586200 0.810166i \(-0.699377\pi\)
0.589368 + 0.807864i \(0.299377\pi\)
\(74\) 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 −0.723698 0.690116i \(-0.757559\pi\)
0.991125 0.132937i \(-0.0424407\pi\)
\(80\) −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 −0.776988 0.629515i \(-0.783253\pi\)
0.258577 0.965991i \(-0.416747\pi\)
\(84\) −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 0.288996 0.957330i \(-0.406679\pi\)
0.999780 + 0.0209802i \(0.00667870\pi\)
\(90\) −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 0.398605 + 0.917122i \(0.369494\pi\)
−0.861550 + 0.507673i \(0.830506\pi\)
\(98\) −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 −0.0494621 + 0.998776i \(0.515751\pi\)
−0.547050 + 0.837100i \(0.684249\pi\)
\(104\) −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 0.580572 0.814209i \(-0.302829\pi\)
−0.594952 + 0.803761i \(0.702829\pi\)
\(110\) −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 0.782744 0.622344i \(-0.213820\pi\)
−0.350004 + 0.936748i \(0.613820\pi\)
\(114\) 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 −0.199790 0.979839i \(-0.564026\pi\)
0.870144 + 0.492798i \(0.164026\pi\)
\(128\) 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 0.925431 0.378916i \(-0.123703\pi\)
−0.971411 + 0.237406i \(0.923703\pi\)
\(132\) 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 0.910006 0.414595i \(-0.136077\pi\)
−0.113096 + 0.993584i \(0.536077\pi\)
\(138\) −1879.66 1365.65i −1.15947 0.842407i
\(139\) −1266.31 + 920.031i −0.772715 + 0.561410i −0.902784 0.430095i \(-0.858480\pi\)
0.130069 + 0.991505i \(0.458480\pi\)
\(140\) 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 0.410621 0.911806i \(-0.365312\pi\)
−0.740290 + 0.672287i \(0.765312\pi\)
\(164\) −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 0.987157 + 0.159755i \(0.0510703\pi\)
−0.704725 + 0.709480i \(0.748930\pi\)
\(168\) −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 −0.953771 0.300535i \(-0.902835\pi\)
−0.00890552 + 0.999960i \(0.502835\pi\)
\(174\) 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 −0.517425 0.855729i \(-0.673109\pi\)
0.921590 0.388164i \(-0.126891\pi\)
\(180\) −1475.12 306.530i −0.610826 0.126930i
\(181\) 97.9741 + 301.533i 0.0402340 + 0.123828i 0.969156 0.246448i \(-0.0792634\pi\)
−0.928922 + 0.370275i \(0.879263\pi\)
\(182\) −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 0.299887 0.953975i \(-0.403051\pi\)
−0.814614 + 0.580004i \(0.803051\pi\)
\(192\) −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 −0.992668 0.120874i \(-0.961430\pi\)
0.874133 + 0.485686i \(0.161430\pi\)
\(198\) 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 0.294751 0.955574i \(-0.404763\pi\)
0.999888 + 0.0149634i \(0.00476319\pi\)
\(212\) 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 0.183583 0.983004i \(-0.441230\pi\)
0.991623 + 0.129167i \(0.0412303\pi\)
\(224\) 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 −0.582472 0.812851i \(-0.697914\pi\)
0.593073 + 0.805148i \(0.297914\pi\)
\(228\) 1263.17 3887.65i 0.366911 1.12924i
\(229\) −1285.44 + 3956.19i −0.370937 + 1.14163i 0.575243 + 0.817983i \(0.304908\pi\)
−0.946179 + 0.323643i \(0.895092\pi\)
\(230\) 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 0.993648 + 0.112529i \(0.0358952\pi\)
−0.737736 + 0.675090i \(0.764105\pi\)
\(234\) 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 −0.799827 0.600231i \(-0.795075\pi\)
0.323694 + 0.946162i \(0.395075\pi\)
\(240\) −1326.93 275.737i −0.356887 0.0741613i
\(241\) −1861.30 1352.31i −0.497496 0.361452i 0.310564 0.950553i \(-0.399482\pi\)
−0.808060 + 0.589100i \(0.799482\pi\)
\(242\) −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 0.722100 0.691789i \(-0.243177\pi\)
−0.434790 + 0.900532i \(0.643177\pi\)
\(264\) 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 0.862685 0.505742i \(-0.168781\pi\)
−0.995194 + 0.0979190i \(0.968781\pi\)
\(270\) −1319.08 + 594.507i −0.297321 + 0.134002i
\(271\) −647.179 + 1991.81i −0.145068 + 0.446472i −0.997020 0.0771477i \(-0.975419\pi\)
0.851952 + 0.523620i \(0.175419\pi\)
\(272\) 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 −0.449056 0.893504i \(-0.648240\pi\)
0.711006 + 0.703185i \(0.248240\pi\)
\(278\) −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 0.995708 0.0925483i \(-0.0295013\pi\)
−0.859943 + 0.510389i \(0.829501\pi\)
\(282\) −1079.45 −0.227945
\(283\) 1050.32 + 3232.55i 0.220618 + 0.678992i 0.998707 + 0.0508383i \(0.0161893\pi\)
−0.778089 + 0.628154i \(0.783811\pi\)
\(284\) −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 −0.970709 0.240258i \(-0.922768\pi\)
−0.0714665 + 0.997443i \(0.522768\pi\)
\(312\) 2785.72 + 2023.94i 0.505481 + 0.367254i
\(313\) −1669.65 1213.07i −0.301516 0.219064i 0.426732 0.904378i \(-0.359665\pi\)
−0.728247 + 0.685314i \(0.759665\pi\)
\(314\) 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 0.851712 + 0.524010i \(0.175565\pi\)
−0.381044 + 0.924557i \(0.624435\pi\)
\(318\) 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 0.957497 0.288444i \(-0.0931378\pi\)
−0.944174 + 0.329447i \(0.893138\pi\)
\(332\) −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 0.0540310 0.998539i \(-0.482793\pi\)
−0.932971 + 0.359952i \(0.882793\pi\)
\(338\) −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 0.622207 + 0.782853i \(0.286236\pi\)
−0.963525 + 0.267617i \(0.913764\pi\)
\(348\) 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 −0.949658 0.313287i \(-0.898570\pi\)
0.952435 + 0.304740i \(0.0985697\pi\)
\(354\) 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 0.945485 0.325666i \(-0.105588\pi\)
−0.0175554 + 0.999846i \(0.505588\pi\)
\(360\) −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 0.910213 0.414139i \(-0.135917\pi\)
−0.979803 + 0.199964i \(0.935917\pi\)
\(368\) −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 0.257152 0.966371i \(-0.417216\pi\)
0.998538 + 0.0540593i \(0.0172160\pi\)
\(374\) −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 0.332148 + 0.943227i \(0.392227\pi\)
−0.823129 + 0.567855i \(0.807773\pi\)
\(380\) 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 −0.938449 0.345419i \(-0.887737\pi\)
0.556189 0.831056i \(-0.312263\pi\)
\(384\) −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 −0.514826 0.857295i \(-0.672143\pi\)
0.656246 + 0.754547i \(0.272143\pi\)
\(390\) −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 −0.439510 0.898238i \(-0.644848\pi\)
0.883542 0.468353i \(-0.155152\pi\)
\(398\) −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 −0.264536 0.964376i \(-0.585219\pi\)
−0.998922 + 0.0464199i \(0.985219\pi\)
\(410\) −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 0.847634 0.530582i \(-0.178027\pi\)
−0.997618 + 0.0689767i \(0.978027\pi\)
\(420\) −7.69622 70.1495i −0.000894136 0.00814987i
\(421\) −4618.97 + 14215.7i −0.534714 + 1.64568i 0.209551 + 0.977798i \(0.432800\pi\)
−0.744265 + 0.667884i \(0.767200\pi\)
\(422\) 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 −0.887052 0.461669i \(-0.847251\pi\)
0.446278 0.894894i \(-0.352749\pi\)
\(432\) 1090.98 0.121504
\(433\) 240.260 + 739.444i 0.0266655 + 0.0820679i 0.963504 0.267695i \(-0.0862621\pi\)
−0.936838 + 0.349763i \(0.886262\pi\)
\(434\) −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 −0.931647 0.363365i \(-0.881628\pi\)
0.0576858 + 0.998335i \(0.481628\pi\)
\(440\) 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 −0.660158 0.751127i \(-0.729511\pi\)
0.510364 + 0.859958i \(0.329511\pi\)
\(462\) 77.4016 + 56.2355i 0.00779447 + 0.00566302i
\(463\) −1527.01 1109.44i −0.153275 0.111361i 0.508505 0.861059i \(-0.330198\pi\)
−0.661779 + 0.749699i \(0.730198\pi\)
\(464\) 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 0.872332 0.488913i \(-0.162607\pi\)
−0.993108 + 0.117205i \(0.962607\pi\)
\(468\) 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 0.657718 + 0.753264i \(0.271522\pi\)
−0.974863 + 0.222806i \(0.928478\pi\)
\(480\) 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 0.461153 0.887321i \(-0.347436\pi\)
−0.701388 + 0.712779i \(0.747436\pi\)
\(488\) 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 0.552522 0.833499i \(-0.313666\pi\)
−0.621966 + 0.783044i \(0.713666\pi\)
\(492\) 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 0.673244 + 0.739420i \(0.264900\pi\)
−0.979286 + 0.202481i \(0.935100\pi\)
\(504\) −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 0.847380 0.530987i \(-0.178179\pi\)
−0.243144 + 0.969990i \(0.578179\pi\)
\(510\) 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 0.274589 + 0.961562i \(0.411458\pi\)
−0.787339 + 0.616520i \(0.788542\pi\)
\(522\) 164.396 505.960i 0.0137843 0.0424239i
\(523\) −13230.4 + 9612.48i −1.10617 + 0.803680i −0.982056 0.188588i \(-0.939609\pi\)
−0.124114 + 0.992268i \(0.539609\pi\)
\(524\) −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 0.0269410 0.999637i \(-0.491423\pi\)
−0.942386 + 0.334527i \(0.891423\pi\)
\(542\) 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 −0.829806 0.558052i \(-0.811549\pi\)
0.999342 + 0.0362740i \(0.0115489\pi\)
\(548\) 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 −0.0695583 0.997578i \(-0.522159\pi\)
−0.970248 + 0.242115i \(0.922159\pi\)
\(564\) −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 −0.956236 0.292595i \(-0.905481\pi\)
0.601629 0.798776i \(-0.294519\pi\)
\(570\) 14323.7 + 2976.48i 1.05255 + 0.218721i
\(571\) −6553.52 + 20169.7i −0.480309 + 1.47824i 0.358353 + 0.933586i \(0.383339\pi\)
−0.838662 + 0.544653i \(0.816661\pi\)
\(572\) 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 −0.525692 0.850675i \(-0.676194\pi\)
0.646592 + 0.762836i \(0.276194\pi\)
\(578\) 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 −0.187180 0.982326i \(-0.559935\pi\)
−0.992089 + 0.125537i \(0.959935\pi\)
\(588\) 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 0.629148 0.777285i \(-0.283404\pi\)
−0.544825 + 0.838550i \(0.683404\pi\)
\(614\) −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 0.985865 0.167539i \(-0.0535820\pi\)
−0.896059 + 0.443935i \(0.853582\pi\)
\(618\) 29015.0 1.88860
\(619\) −812.796 2501.53i −0.0527771 0.162431i 0.921194 0.389104i \(-0.127215\pi\)
−0.973971 + 0.226673i \(0.927215\pi\)
\(620\) −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 −0.969412 0.245441i \(-0.921067\pi\)
0.640004 0.768371i \(-0.278933\pi\)
\(632\) −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 −0.988875 0.148746i \(-0.952476\pi\)
−0.447046 0.894511i \(-0.647524\pi\)
\(642\) −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 −0.966473 0.256768i \(-0.917342\pi\)
0.932818 + 0.360349i \(0.117342\pi\)
\(648\) 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 0.746833 + 0.665012i \(0.231573\pi\)
−0.995085 + 0.0990282i \(0.968427\pi\)
\(654\) −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 0.892226 0.451589i \(-0.149142\pi\)
−0.153773 + 0.988106i \(0.549142\pi\)
\(660\) 15992.1 + 17599.2i 0.943171 + 1.03795i
\(661\) −3524.55 + 2560.74i −0.207397 + 0.150682i −0.686635 0.727002i \(-0.740913\pi\)
0.479238 + 0.877685i \(0.340913\pi\)
\(662\) 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 −0.0993208 0.995055i \(-0.531667\pi\)
0.915662 + 0.401949i \(0.131667\pi\)
\(674\) −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 −0.660867 0.750503i \(-0.729811\pi\)
0.509552 + 0.860440i \(0.329811\pi\)
\(678\) 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 0.984118 0.177515i \(-0.0568058\pi\)
−0.900509 + 0.434837i \(0.856806\pi\)
\(684\) −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 −0.0690054 0.997616i \(-0.521983\pi\)
−0.970113 + 0.242652i \(0.921983\pi\)
\(692\) 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 −0.124352 0.992238i \(-0.539685\pi\)
−0.982101 + 0.188353i \(0.939685\pi\)
\(710\) 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 −0.992394 0.123100i \(-0.960716\pi\)
0.730507 0.682905i \(-0.239284\pi\)
\(720\) −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 −0.427156 0.904178i \(-0.640484\pi\)
0.727926 + 0.685655i \(0.240484\pi\)
\(728\) −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 0.812656 0.582744i \(-0.198021\pi\)
−0.999981 + 0.00621681i \(0.998021\pi\)
\(734\) −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 −0.239007 0.971018i \(-0.576822\pi\)
0.849636 + 0.527370i \(0.176822\pi\)
\(740\) 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 −0.497749 0.867321i \(-0.665840\pi\)
0.671058 + 0.741404i \(0.265840\pi\)
\(762\) −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 0.967170 0.254129i \(-0.0817889\pi\)
−0.931831 + 0.362894i \(0.881789\pi\)
\(770\)