Properties

Label 43.4.g.a.24.4
Level 43
Weight 4
Character 43.24
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 24.4
Character \(\chi\) \(=\) 43.24
Dual form 43.4.g.a.9.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.62068 + 2.03226i) q^{2} +(-6.93204 + 1.04484i) q^{3} +(0.276661 + 1.21213i) q^{4} +(6.69761 - 4.56636i) q^{5} +(9.11121 - 15.7811i) q^{6} +(-16.5418 - 28.6512i) q^{7} +(-21.6473 - 10.4248i) q^{8} +(21.1610 - 6.52730i) q^{9} +O(q^{10})\) \(q+(-1.62068 + 2.03226i) q^{2} +(-6.93204 + 1.04484i) q^{3} +(0.276661 + 1.21213i) q^{4} +(6.69761 - 4.56636i) q^{5} +(9.11121 - 15.7811i) q^{6} +(-16.5418 - 28.6512i) q^{7} +(-21.6473 - 10.4248i) q^{8} +(21.1610 - 6.52730i) q^{9} +(-1.57463 + 21.0119i) q^{10} +(0.540068 - 2.36619i) q^{11} +(-3.18431 - 8.11348i) q^{12} +(4.87033 + 64.9901i) q^{13} +(85.0358 + 12.8171i) q^{14} +(-41.6570 + 38.6521i) q^{15} +(47.3079 - 22.7823i) q^{16} +(-78.9585 - 53.8330i) q^{17} +(-21.0299 + 53.5834i) q^{18} +(-98.5398 - 30.3955i) q^{19} +(7.38800 + 6.85506i) q^{20} +(144.604 + 181.328i) q^{21} +(3.93345 + 4.93239i) q^{22} +(-71.4375 - 66.2843i) q^{23} +(160.952 + 49.6472i) q^{24} +(-21.6612 + 55.1918i) q^{25} +(-139.970 - 95.4301i) q^{26} +(30.6658 - 14.7679i) q^{27} +(30.1526 - 27.9775i) q^{28} +(5.06972 + 0.764137i) q^{29} +(-11.0387 - 147.301i) q^{30} +(41.3729 + 105.416i) q^{31} +(12.4004 - 54.3298i) q^{32} +(-1.27149 + 16.9668i) q^{33} +(237.369 - 73.2187i) q^{34} +(-241.622 - 116.359i) q^{35} +(13.7664 + 23.8441i) q^{36} +(-145.884 + 252.679i) q^{37} +(221.473 - 150.998i) q^{38} +(-101.665 - 445.425i) q^{39} +(-192.589 + 29.0281i) q^{40} +(136.332 - 170.955i) q^{41} -602.863 q^{42} +(259.101 + 111.238i) q^{43} +3.01755 q^{44} +(111.922 - 140.346i) q^{45} +(250.484 - 37.7544i) q^{46} +(-26.9107 - 117.903i) q^{47} +(-304.136 + 207.356i) q^{48} +(-375.762 + 650.840i) q^{49} +(-77.0586 - 133.469i) q^{50} +(603.590 + 290.674i) q^{51} +(-77.4291 + 23.8837i) q^{52} +(25.3723 - 338.570i) q^{53} +(-19.6871 + 86.2550i) q^{54} +(-7.18771 - 18.3140i) q^{55} +(59.4022 + 792.668i) q^{56} +(714.840 + 107.745i) q^{57} +(-9.76930 + 9.06459i) q^{58} +(-17.3697 + 8.36480i) q^{59} +(-58.3763 - 39.8003i) q^{60} +(184.779 - 470.809i) q^{61} +(-281.286 - 86.7653i) q^{62} +(-537.056 - 498.315i) q^{63} +(352.220 + 441.670i) q^{64} +(329.387 + 413.039i) q^{65} +(-32.4204 - 30.0817i) q^{66} +(-371.467 - 114.582i) q^{67} +(43.4080 - 110.602i) q^{68} +(564.464 + 384.845i) q^{69} +(628.065 - 302.460i) q^{70} +(-638.188 + 592.152i) q^{71} +(-526.124 - 79.3005i) q^{72} +(-34.5382 - 460.880i) q^{73} +(-277.079 - 705.987i) q^{74} +(92.4898 - 405.224i) q^{75} +(9.58123 - 127.853i) q^{76} +(-76.7280 + 23.6675i) q^{77} +(1069.99 + 515.279i) q^{78} +(7.37712 + 12.7776i) q^{79} +(212.818 - 368.611i) q^{80} +(-691.163 + 471.227i) q^{81} +(126.475 + 554.125i) q^{82} +(-712.206 + 107.348i) q^{83} +(-179.787 + 225.446i) q^{84} -774.655 q^{85} +(-645.983 + 346.281i) q^{86} -35.9419 q^{87} +(-36.3581 + 45.5916i) q^{88} +(481.831 - 72.6243i) q^{89} +(103.830 + 454.911i) q^{90} +(1781.48 - 1214.59i) q^{91} +(60.5814 - 104.930i) q^{92} +(-396.941 - 687.522i) q^{93} +(283.225 + 136.394i) q^{94} +(-798.779 + 246.391i) q^{95} +(-29.1944 + 389.572i) q^{96} +(89.0840 - 390.302i) q^{97} +(-713.689 - 1818.45i) q^{98} +(-4.01648 - 53.5961i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.62068 + 2.03226i −0.572996 + 0.718514i −0.980900 0.194510i \(-0.937688\pi\)
0.407905 + 0.913025i \(0.366260\pi\)
\(3\) −6.93204 + 1.04484i −1.33407 + 0.201079i −0.777060 0.629426i \(-0.783290\pi\)
−0.557011 + 0.830505i \(0.688052\pi\)
\(4\) 0.276661 + 1.21213i 0.0345827 + 0.151517i
\(5\) 6.69761 4.56636i 0.599053 0.408427i −0.225475 0.974249i \(-0.572393\pi\)
0.824528 + 0.565822i \(0.191441\pi\)
\(6\) 9.11121 15.7811i 0.619939 1.07377i
\(7\) −16.5418 28.6512i −0.893173 1.54702i −0.836049 0.548654i \(-0.815140\pi\)
−0.0571241 0.998367i \(-0.518193\pi\)
\(8\) −21.6473 10.4248i −0.956686 0.460716i
\(9\) 21.1610 6.52730i 0.783740 0.241752i
\(10\) −1.57463 + 21.0119i −0.0497940 + 0.664455i
\(11\) 0.540068 2.36619i 0.0148033 0.0648576i −0.966987 0.254827i \(-0.917982\pi\)
0.981790 + 0.189969i \(0.0608387\pi\)
\(12\) −3.18431 8.11348i −0.0766025 0.195180i
\(13\) 4.87033 + 64.9901i 0.103907 + 1.38654i 0.768747 + 0.639553i \(0.220881\pi\)
−0.664840 + 0.746985i \(0.731500\pi\)
\(14\) 85.0358 + 12.8171i 1.62334 + 0.244679i
\(15\) −41.6570 + 38.6521i −0.717053 + 0.665328i
\(16\) 47.3079 22.7823i 0.739185 0.355973i
\(17\) −78.9585 53.8330i −1.12649 0.768025i −0.151097 0.988519i \(-0.548281\pi\)
−0.975388 + 0.220494i \(0.929233\pi\)
\(18\) −21.0299 + 53.5834i −0.275378 + 0.701651i
\(19\) −98.5398 30.3955i −1.18982 0.367011i −0.364245 0.931303i \(-0.618673\pi\)
−0.825575 + 0.564292i \(0.809149\pi\)
\(20\) 7.38800 + 6.85506i 0.0826003 + 0.0766419i
\(21\) 144.604 + 181.328i 1.50263 + 1.88424i
\(22\) 3.93345 + 4.93239i 0.0381189 + 0.0477995i
\(23\) −71.4375 66.2843i −0.647641 0.600923i 0.286391 0.958113i \(-0.407544\pi\)
−0.934032 + 0.357190i \(0.883735\pi\)
\(24\) 160.952 + 49.6472i 1.36893 + 0.422258i
\(25\) −21.6612 + 55.1918i −0.173290 + 0.441535i
\(26\) −139.970 95.4301i −1.05579 0.719822i
\(27\) 30.6658 14.7679i 0.218579 0.105262i
\(28\) 30.1526 27.9775i 0.203511 0.188831i
\(29\) 5.06972 + 0.764137i 0.0324628 + 0.00489299i 0.165254 0.986251i \(-0.447156\pi\)
−0.132791 + 0.991144i \(0.542394\pi\)
\(30\) −11.0387 147.301i −0.0671791 0.896443i
\(31\) 41.3729 + 105.416i 0.239703 + 0.610753i 0.999210 0.0397463i \(-0.0126550\pi\)
−0.759507 + 0.650499i \(0.774560\pi\)
\(32\) 12.4004 54.3298i 0.0685032 0.300132i
\(33\) −1.27149 + 16.9668i −0.00670720 + 0.0895013i
\(34\) 237.369 73.2187i 1.19731 0.369321i
\(35\) −241.622 116.359i −1.16690 0.561951i
\(36\) 13.7664 + 23.8441i 0.0637332 + 0.110389i
\(37\) −145.884 + 252.679i −0.648195 + 1.12271i 0.335358 + 0.942091i \(0.391143\pi\)
−0.983554 + 0.180617i \(0.942191\pi\)
\(38\) 221.473 150.998i 0.945465 0.644607i
\(39\) −101.665 445.425i −0.417422 1.82885i
\(40\) −192.589 + 29.0281i −0.761274 + 0.114744i
\(41\) 136.332 170.955i 0.519304 0.651187i −0.451157 0.892445i \(-0.648989\pi\)
0.970461 + 0.241258i \(0.0775600\pi\)
\(42\) −602.863 −2.21485
\(43\) 259.101 + 111.238i 0.918895 + 0.394502i
\(44\) 3.01755 0.0103389
\(45\) 111.922 140.346i 0.370764 0.464923i
\(46\) 250.484 37.7544i 0.802868 0.121013i
\(47\) −26.9107 117.903i −0.0835176 0.365915i 0.915848 0.401525i \(-0.131520\pi\)
−0.999366 + 0.0356103i \(0.988663\pi\)
\(48\) −304.136 + 207.356i −0.914547 + 0.623528i
\(49\) −375.762 + 650.840i −1.09552 + 1.89749i
\(50\) −77.0586 133.469i −0.217955 0.377509i
\(51\) 603.590 + 290.674i 1.65725 + 0.798087i
\(52\) −77.4291 + 23.8837i −0.206490 + 0.0636938i
\(53\) 25.3723 338.570i 0.0657576 0.877474i −0.862624 0.505846i \(-0.831181\pi\)
0.928382 0.371628i \(-0.121200\pi\)
\(54\) −19.6871 + 86.2550i −0.0496126 + 0.217367i
\(55\) −7.18771 18.3140i −0.0176216 0.0448992i
\(56\) 59.4022 + 792.668i 0.141749 + 1.89151i
\(57\) 714.840 + 107.745i 1.66110 + 0.250371i
\(58\) −9.76930 + 9.06459i −0.0221168 + 0.0205214i
\(59\) −17.3697 + 8.36480i −0.0383278 + 0.0184577i −0.452949 0.891536i \(-0.649628\pi\)
0.414622 + 0.909994i \(0.363914\pi\)
\(60\) −58.3763 39.8003i −0.125606 0.0856366i
\(61\) 184.779 470.809i 0.387845 0.988212i −0.594992 0.803732i \(-0.702845\pi\)
0.982836 0.184480i \(-0.0590601\pi\)
\(62\) −281.286 86.7653i −0.576183 0.177729i
\(63\) −537.056 498.315i −1.07401 0.996537i
\(64\) 352.220 + 441.670i 0.687929 + 0.862636i
\(65\) 329.387 + 413.039i 0.628546 + 0.788171i
\(66\) −32.4204 30.0817i −0.0604648 0.0561031i
\(67\) −371.467 114.582i −0.677342 0.208932i −0.0630489 0.998010i \(-0.520082\pi\)
−0.614293 + 0.789078i \(0.710559\pi\)
\(68\) 43.4080 110.602i 0.0774116 0.197242i
\(69\) 564.464 + 384.845i 0.984832 + 0.671447i
\(70\) 628.065 302.460i 1.07240 0.516441i
\(71\) −638.188 + 592.152i −1.06675 + 0.989796i −0.999968 0.00797205i \(-0.997462\pi\)
−0.0667780 + 0.997768i \(0.521272\pi\)
\(72\) −526.124 79.3005i −0.861172 0.129801i
\(73\) −34.5382 460.880i −0.0553752 0.738931i −0.953922 0.300054i \(-0.902995\pi\)
0.898547 0.438877i \(-0.144624\pi\)
\(74\) −277.079 705.987i −0.435268 1.10904i
\(75\) 92.4898 405.224i 0.142397 0.623883i
\(76\) 9.58123 127.853i 0.0144611 0.192970i
\(77\) −76.7280 + 23.6675i −0.113558 + 0.0350280i
\(78\) 1069.99 + 515.279i 1.55323 + 0.747998i
\(79\) 7.37712 + 12.7776i 0.0105062 + 0.0181973i 0.871231 0.490874i \(-0.163322\pi\)
−0.860724 + 0.509071i \(0.829989\pi\)
\(80\) 212.818 368.611i 0.297422 0.515150i
\(81\) −691.163 + 471.227i −0.948097 + 0.646402i
\(82\) 126.475 + 554.125i 0.170328 + 0.746255i
\(83\) −712.206 + 107.348i −0.941864 + 0.141963i −0.601986 0.798506i \(-0.705624\pi\)
−0.339878 + 0.940470i \(0.610386\pi\)
\(84\) −179.787 + 225.446i −0.233528 + 0.292835i
\(85\) −774.655 −0.988507
\(86\) −645.983 + 346.281i −0.809978 + 0.434192i
\(87\) −35.9419 −0.0442916
\(88\) −36.3581 + 45.5916i −0.0440430 + 0.0552282i
\(89\) 481.831 72.6243i 0.573865 0.0864962i 0.144303 0.989534i \(-0.453906\pi\)
0.429562 + 0.903037i \(0.358668\pi\)
\(90\) 103.830 + 454.911i 0.121608 + 0.532798i
\(91\) 1781.48 1214.59i 2.05220 1.39917i
\(92\) 60.5814 104.930i 0.0686526 0.118910i
\(93\) −396.941 687.522i −0.442590 0.766588i
\(94\) 283.225 + 136.394i 0.310770 + 0.149659i
\(95\) −798.779 + 246.391i −0.862663 + 0.266096i
\(96\) −29.1944 + 389.572i −0.0310379 + 0.414172i
\(97\) 89.0840 390.302i 0.0932485 0.408548i −0.906663 0.421856i \(-0.861379\pi\)
0.999911 + 0.0133073i \(0.00423598\pi\)
\(98\) −713.689 1818.45i −0.735648 1.87440i
\(99\) −4.01648 53.5961i −0.00407748 0.0544102i
\(100\) −72.8926 10.9868i −0.0728926 0.0109868i
\(101\) 420.911 390.548i 0.414675 0.384762i −0.445062 0.895500i \(-0.646818\pi\)
0.859736 + 0.510738i \(0.170628\pi\)
\(102\) −1568.95 + 755.567i −1.52303 + 0.733454i
\(103\) −306.764 209.148i −0.293460 0.200078i 0.407636 0.913144i \(-0.366353\pi\)
−0.701096 + 0.713067i \(0.747306\pi\)
\(104\) 572.079 1457.63i 0.539394 1.37435i
\(105\) 1796.51 + 554.150i 1.66973 + 0.515043i
\(106\) 646.943 + 600.275i 0.592799 + 0.550037i
\(107\) 643.017 + 806.318i 0.580961 + 0.728502i 0.982276 0.187438i \(-0.0600183\pi\)
−0.401315 + 0.915940i \(0.631447\pi\)
\(108\) 26.3847 + 33.0853i 0.0235080 + 0.0294781i
\(109\) −1025.89 951.884i −0.901488 0.836458i 0.0856508 0.996325i \(-0.472703\pi\)
−0.987139 + 0.159867i \(0.948894\pi\)
\(110\) 48.8678 + 15.0737i 0.0423579 + 0.0130657i
\(111\) 747.267 1904.01i 0.638986 1.62811i
\(112\) −1435.30 978.569i −1.21092 0.825590i
\(113\) 1443.80 695.299i 1.20196 0.578834i 0.277727 0.960660i \(-0.410419\pi\)
0.924234 + 0.381826i \(0.124705\pi\)
\(114\) −1377.49 + 1278.12i −1.13170 + 1.05006i
\(115\) −781.139 117.738i −0.633405 0.0954704i
\(116\) 0.476359 + 6.35657i 0.000381283 + 0.00508787i
\(117\) 527.271 + 1343.46i 0.416634 + 1.06157i
\(118\) 11.1512 48.8564i 0.00869956 0.0381152i
\(119\) −236.266 + 3152.75i −0.182004 + 2.42868i
\(120\) 1304.70 402.448i 0.992521 0.306152i
\(121\) 1193.88 + 574.943i 0.896981 + 0.431964i
\(122\) 657.342 + 1138.55i 0.487811 + 0.844913i
\(123\) −766.438 + 1327.51i −0.561849 + 0.973150i
\(124\) −116.332 + 79.3140i −0.0842496 + 0.0574404i
\(125\) 332.421 + 1456.43i 0.237861 + 1.04214i
\(126\) 1883.10 283.832i 1.33143 0.200681i
\(127\) −985.149 + 1235.34i −0.688329 + 0.863137i −0.996092 0.0883258i \(-0.971848\pi\)
0.307763 + 0.951463i \(0.400420\pi\)
\(128\) −1022.61 −0.706146
\(129\) −1912.32 500.385i −1.30520 0.341523i
\(130\) −1373.23 −0.926467
\(131\) 769.569 965.009i 0.513264 0.643612i −0.455900 0.890031i \(-0.650682\pi\)
0.969163 + 0.246419i \(0.0792539\pi\)
\(132\) −20.9178 + 3.15285i −0.0137929 + 0.00207894i
\(133\) 759.157 + 3326.09i 0.494942 + 2.16848i
\(134\) 834.889 569.218i 0.538235 0.366962i
\(135\) 137.952 238.941i 0.0879485 0.152331i
\(136\) 1148.04 + 1988.47i 0.723852 + 1.25375i
\(137\) −1805.43 869.450i −1.12590 0.542205i −0.224190 0.974545i \(-0.571974\pi\)
−0.901711 + 0.432340i \(0.857688\pi\)
\(138\) −1696.92 + 523.430i −1.04675 + 0.322879i
\(139\) 149.930 2000.68i 0.0914885 1.22083i −0.742804 0.669508i \(-0.766505\pi\)
0.834293 0.551321i \(-0.185876\pi\)
\(140\) 74.1952 325.070i 0.0447903 0.196239i
\(141\) 309.736 + 789.194i 0.184996 + 0.471362i
\(142\) −169.113 2256.65i −0.0999411 1.33362i
\(143\) 156.409 + 23.5749i 0.0914657 + 0.0137862i
\(144\) 852.374 790.888i 0.493272 0.457690i
\(145\) 37.4443 18.0322i 0.0214454 0.0103276i
\(146\) 992.606 + 676.747i 0.562662 + 0.383616i
\(147\) 1924.78 4904.25i 1.07995 2.75167i
\(148\) −346.641 106.925i −0.192525 0.0593861i
\(149\) −2409.58 2235.77i −1.32484 1.22927i −0.953724 0.300682i \(-0.902786\pi\)
−0.371114 0.928587i \(-0.621024\pi\)
\(150\) 673.627 + 844.701i 0.366676 + 0.459797i
\(151\) −912.149 1143.80i −0.491587 0.616430i 0.472722 0.881212i \(-0.343272\pi\)
−0.964308 + 0.264781i \(0.914700\pi\)
\(152\) 1816.26 + 1685.24i 0.969196 + 0.899283i
\(153\) −2022.22 623.774i −1.06854 0.329602i
\(154\) 76.2528 194.289i 0.0399002 0.101664i
\(155\) 758.468 + 517.115i 0.393043 + 0.267972i
\(156\) 511.787 246.464i 0.262665 0.126493i
\(157\) 682.152 632.945i 0.346762 0.321748i −0.487493 0.873127i \(-0.662088\pi\)
0.834255 + 0.551379i \(0.185898\pi\)
\(158\) −37.9233 5.71602i −0.0190950 0.00287811i
\(159\) 177.868 + 2373.49i 0.0887162 + 1.18384i
\(160\) −165.036 420.504i −0.0815452 0.207774i
\(161\) −717.423 + 3143.23i −0.351185 + 1.53864i
\(162\) 162.494 2168.33i 0.0788070 1.05161i
\(163\) −1726.92 + 532.683i −0.829831 + 0.255969i −0.680435 0.732809i \(-0.738209\pi\)
−0.149396 + 0.988777i \(0.547733\pi\)
\(164\) 244.938 + 117.956i 0.116624 + 0.0561634i
\(165\) 68.9606 + 119.443i 0.0325368 + 0.0563554i
\(166\) 936.096 1621.37i 0.437682 0.758087i
\(167\) −682.703 + 465.459i −0.316342 + 0.215678i −0.711073 0.703119i \(-0.751790\pi\)
0.394731 + 0.918797i \(0.370838\pi\)
\(168\) −1239.99 5432.74i −0.569447 2.49491i
\(169\) −2027.53 + 305.600i −0.922861 + 0.139099i
\(170\) 1255.46 1574.30i 0.566410 0.710256i
\(171\) −2283.60 −1.02124
\(172\) −63.1515 + 344.840i −0.0279957 + 0.152871i
\(173\) 3397.54 1.49312 0.746562 0.665316i \(-0.231703\pi\)
0.746562 + 0.665316i \(0.231703\pi\)
\(174\) 58.2501 73.0434i 0.0253789 0.0318242i
\(175\) 1939.63 292.352i 0.837841 0.126284i
\(176\) −28.3578 124.243i −0.0121451 0.0532114i
\(177\) 111.667 76.1335i 0.0474205 0.0323308i
\(178\) −633.300 + 1096.91i −0.266673 + 0.461892i
\(179\) −2013.73 3487.89i −0.840858 1.45641i −0.889171 0.457576i \(-0.848718\pi\)
0.0483128 0.998832i \(-0.484616\pi\)
\(180\) 201.082 + 96.8362i 0.0832655 + 0.0400986i
\(181\) 819.825 252.882i 0.336669 0.103849i −0.121811 0.992553i \(-0.538870\pi\)
0.458480 + 0.888705i \(0.348394\pi\)
\(182\) −418.831 + 5588.91i −0.170581 + 2.27625i
\(183\) −788.976 + 3456.73i −0.318704 + 1.39633i
\(184\) 855.430 + 2179.60i 0.342734 + 0.873273i
\(185\) 176.746 + 2358.51i 0.0702411 + 0.937302i
\(186\) 2040.54 + 307.562i 0.804407 + 0.121245i
\(187\) −170.022 + 157.758i −0.0664880 + 0.0616918i
\(188\) 135.469 65.2386i 0.0525538 0.0253086i
\(189\) −930.386 634.326i −0.358072 0.244129i
\(190\) 793.831 2022.65i 0.303108 0.772307i
\(191\) −114.575 35.3418i −0.0434051 0.0133887i 0.272977 0.962021i \(-0.411992\pi\)
−0.316382 + 0.948632i \(0.602468\pi\)
\(192\) −2903.07 2693.66i −1.09120 1.01249i
\(193\) 1950.20 + 2445.47i 0.727350 + 0.912068i 0.998729 0.0504047i \(-0.0160511\pi\)
−0.271379 + 0.962473i \(0.587480\pi\)
\(194\) 648.821 + 813.596i 0.240117 + 0.301097i
\(195\) −2714.88 2519.04i −0.997009 0.925089i
\(196\) −892.863 275.412i −0.325387 0.100369i
\(197\) −105.080 + 267.738i −0.0380031 + 0.0968302i −0.948615 0.316431i \(-0.897515\pi\)
0.910612 + 0.413262i \(0.135611\pi\)
\(198\) 115.431 + 78.6995i 0.0414309 + 0.0282471i
\(199\) −3288.97 + 1583.88i −1.17160 + 0.564214i −0.915453 0.402424i \(-0.868168\pi\)
−0.256148 + 0.966638i \(0.582454\pi\)
\(200\) 1044.27 968.942i 0.369206 0.342573i
\(201\) 2694.74 + 406.167i 0.945634 + 0.142531i
\(202\) 111.537 + 1488.35i 0.0388500 + 0.518417i
\(203\) −61.9688 157.894i −0.0214254 0.0545910i
\(204\) −185.345 + 812.049i −0.0636115 + 0.278700i
\(205\) 132.458 1767.53i 0.0451281 0.602193i
\(206\) 922.211 284.464i 0.311910 0.0962115i
\(207\) −1944.35 936.347i −0.652857 0.314399i
\(208\) 1711.03 + 2963.58i 0.570376 + 0.987921i
\(209\) −125.140 + 216.749i −0.0414168 + 0.0717359i
\(210\) −4037.75 + 2752.89i −1.32681 + 0.904606i
\(211\) 274.523 + 1202.77i 0.0895685 + 0.392425i 0.999763 0.0217550i \(-0.00692538\pi\)
−0.910195 + 0.414180i \(0.864068\pi\)
\(212\) 417.411 62.9146i 0.135226 0.0203820i
\(213\) 3805.24 4771.62i 1.22409 1.53496i
\(214\) −2680.78 −0.856328
\(215\) 2243.31 438.120i 0.711592 0.138975i
\(216\) −817.785 −0.257607
\(217\) 2335.93 2929.16i 0.730752 0.916334i
\(218\) 3597.11 542.178i 1.11756 0.168444i
\(219\) 720.964 + 3158.75i 0.222458 + 0.974651i
\(220\) 20.2104 13.7792i 0.00619357 0.00422271i
\(221\) 3114.06 5393.70i 0.947847 1.64172i
\(222\) 2658.36 + 4604.42i 0.803684 + 1.39202i
\(223\) 2984.68 + 1437.34i 0.896272 + 0.431622i 0.824541 0.565802i \(-0.191433\pi\)
0.0717310 + 0.997424i \(0.477148\pi\)
\(224\) −1761.74 + 543.425i −0.525496 + 0.162094i
\(225\) −98.1187 + 1309.30i −0.0290722 + 0.387941i
\(226\) −926.907 + 4061.05i −0.272818 + 1.19530i
\(227\) 865.317 + 2204.79i 0.253009 + 0.644657i 0.999792 0.0204112i \(-0.00649753\pi\)
−0.746782 + 0.665069i \(0.768402\pi\)
\(228\) 67.1676 + 896.290i 0.0195100 + 0.260343i
\(229\) −1162.00 175.143i −0.335314 0.0505404i −0.0207725 0.999784i \(-0.506613\pi\)
−0.314541 + 0.949244i \(0.601851\pi\)
\(230\) 1505.25 1396.67i 0.431535 0.400406i
\(231\) 507.153 244.232i 0.144451 0.0695640i
\(232\) −101.780 69.3923i −0.0288025 0.0196372i
\(233\) −2045.46 + 5211.74i −0.575117 + 1.46537i 0.286633 + 0.958041i \(0.407464\pi\)
−0.861750 + 0.507334i \(0.830631\pi\)
\(234\) −3584.81 1105.77i −1.00148 0.308916i
\(235\) −718.627 666.788i −0.199481 0.185091i
\(236\) −14.9448 18.7401i −0.00412212 0.00516898i
\(237\) −64.4890 80.8666i −0.0176751 0.0221639i
\(238\) −6024.32 5589.75i −1.64075 1.52239i
\(239\) −173.185 53.4204i −0.0468719 0.0144581i 0.271231 0.962514i \(-0.412569\pi\)
−0.318102 + 0.948056i \(0.603046\pi\)
\(240\) −1090.12 + 2777.59i −0.293196 + 0.747052i
\(241\) −4766.96 3250.06i −1.27414 0.868691i −0.278357 0.960478i \(-0.589790\pi\)
−0.995779 + 0.0917871i \(0.970742\pi\)
\(242\) −3103.34 + 1494.49i −0.824339 + 0.396981i
\(243\) 3625.15 3363.65i 0.957010 0.887975i
\(244\) 621.804 + 93.7219i 0.163143 + 0.0245899i
\(245\) 455.254 + 6074.94i 0.118715 + 1.58414i
\(246\) −1455.70 3709.07i −0.377285 0.961307i
\(247\) 1495.48 6552.15i 0.385245 1.68787i
\(248\) 203.333 2713.29i 0.0520631 0.694733i
\(249\) 4824.88 1488.28i 1.22797 0.378778i
\(250\) −3498.60 1684.84i −0.885083 0.426234i
\(251\) 2437.90 + 4222.56i 0.613062 + 1.06185i 0.990721 + 0.135910i \(0.0433958\pi\)
−0.377659 + 0.925945i \(0.623271\pi\)
\(252\) 455.441 788.847i 0.113850 0.197193i
\(253\) −195.422 + 133.237i −0.0485617 + 0.0331088i
\(254\) −913.925 4004.17i −0.225767 0.989148i
\(255\) 5369.93 809.387i 1.31874 0.198768i
\(256\) −1160.44 + 1455.15i −0.283310 + 0.355260i
\(257\) −7238.00 −1.75679 −0.878394 0.477938i \(-0.841384\pi\)
−0.878394 + 0.477938i \(0.841384\pi\)
\(258\) 4116.17 3075.38i 0.993262 0.742112i
\(259\) 9652.76 2.31580
\(260\) −409.529 + 513.533i −0.0976842 + 0.122492i
\(261\) 112.268 16.9217i 0.0266253 0.00401312i
\(262\) 713.931 + 3127.94i 0.168347 + 0.737575i
\(263\) −2480.60 + 1691.25i −0.581599 + 0.396527i −0.818076 0.575110i \(-0.804959\pi\)
0.236478 + 0.971637i \(0.424007\pi\)
\(264\) 204.400 354.031i 0.0476513 0.0825345i
\(265\) −1376.10 2383.47i −0.318992 0.552511i
\(266\) −7989.83 3847.70i −1.84168 0.886909i
\(267\) −3264.19 + 1006.87i −0.748184 + 0.230784i
\(268\) 36.1185 481.967i 0.00823241 0.109854i
\(269\) 1819.09 7969.95i 0.412311 1.80645i −0.160812 0.986985i \(-0.551411\pi\)
0.573123 0.819469i \(-0.305732\pi\)
\(270\) 262.014 + 667.601i 0.0590581 + 0.150477i
\(271\) −126.821 1692.31i −0.0284274 0.379338i −0.993214 0.116303i \(-0.962896\pi\)
0.964786 0.263035i \(-0.0847234\pi\)
\(272\) −4961.80 747.870i −1.10608 0.166714i
\(273\) −11080.2 + 10281.0i −2.45644 + 2.27924i
\(274\) 4692.97 2260.02i 1.03472 0.498294i
\(275\) 118.896 + 81.0619i 0.0260716 + 0.0177753i
\(276\) −310.318 + 790.676i −0.0676772 + 0.172439i
\(277\) −233.201 71.9329i −0.0505836 0.0156030i 0.269360 0.963040i \(-0.413188\pi\)
−0.319944 + 0.947437i \(0.603664\pi\)
\(278\) 3822.92 + 3547.15i 0.824761 + 0.765266i
\(279\) 1563.57 + 1960.66i 0.335515 + 0.420723i
\(280\) 4017.46 + 5037.73i 0.857460 + 1.07522i
\(281\) −863.239 800.969i −0.183262 0.170042i 0.583207 0.812323i \(-0.301798\pi\)
−0.766469 + 0.642281i \(0.777988\pi\)
\(282\) −2105.83 649.563i −0.444683 0.137166i
\(283\) −102.001 + 259.893i −0.0214251 + 0.0545903i −0.941186 0.337889i \(-0.890287\pi\)
0.919761 + 0.392479i \(0.128382\pi\)
\(284\) −894.328 609.743i −0.186861 0.127400i
\(285\) 5279.72 2542.58i 1.09735 0.528454i
\(286\) −301.399 + 279.658i −0.0623151 + 0.0578200i
\(287\) −7153.24 1078.18i −1.47123 0.221752i
\(288\) −92.2216 1230.61i −0.0188688 0.251787i
\(289\) 1541.54 + 3927.77i 0.313767 + 0.799464i
\(290\) −24.0389 + 105.321i −0.00486763 + 0.0213265i
\(291\) −209.731 + 2798.67i −0.0422497 + 0.563783i
\(292\) 549.092 169.373i 0.110045 0.0339444i
\(293\) −415.159 199.930i −0.0827777 0.0398636i 0.392037 0.919950i \(-0.371771\pi\)
−0.474815 + 0.880086i \(0.657485\pi\)
\(294\) 6847.30 + 11859.9i 1.35831 + 2.35266i
\(295\) −78.1388 + 135.340i −0.0154217 + 0.0267112i
\(296\) 5792.13 3949.01i 1.13737 0.775444i
\(297\) −18.3820 80.5368i −0.00359135 0.0157348i
\(298\) 8448.83 1273.46i 1.64237 0.247548i
\(299\) 3959.90 4965.55i 0.765909 0.960419i
\(300\) 516.774 0.0994531
\(301\) −1098.90 9263.63i −0.210430 1.77391i
\(302\) 3802.80 0.724591
\(303\) −2509.71 + 3147.08i −0.475838 + 0.596682i
\(304\) −5354.19 + 807.014i −1.01014 + 0.152255i
\(305\) −912.304 3997.07i −0.171273 0.750398i
\(306\) 4545.05 3098.76i 0.849095 0.578903i
\(307\) 2135.03 3697.98i 0.396914 0.687475i −0.596429 0.802666i \(-0.703414\pi\)
0.993343 + 0.115190i \(0.0367477\pi\)
\(308\) −49.9158 86.4567i −0.00923447 0.0159946i
\(309\) 2345.03 + 1129.31i 0.431728 + 0.207909i
\(310\) −2280.15 + 703.332i −0.417754 + 0.128860i
\(311\) 79.9784 1067.24i 0.0145825 0.194590i −0.985155 0.171668i \(-0.945084\pi\)
0.999737 0.0229214i \(-0.00729675\pi\)
\(312\) −2442.68 + 10702.1i −0.443236 + 1.94194i
\(313\) 1120.99 + 2856.23i 0.202434 + 0.515794i 0.995653 0.0931428i \(-0.0296913\pi\)
−0.793218 + 0.608937i \(0.791596\pi\)
\(314\) 180.763 + 2412.11i 0.0324874 + 0.433514i
\(315\) −5872.48 885.134i −1.05040 0.158323i
\(316\) −13.4471 + 12.4771i −0.00239386 + 0.00222118i
\(317\) −5884.45 + 2833.80i −1.04260 + 0.502089i −0.875180 0.483797i \(-0.839257\pi\)
−0.167418 + 0.985886i \(0.553543\pi\)
\(318\) −5111.82 3485.18i −0.901436 0.614589i
\(319\) 4.54608 11.5832i 0.000797906 0.00203303i
\(320\) 4375.85 + 1349.77i 0.764430 + 0.235795i
\(321\) −5299.89 4917.58i −0.921530 0.855055i
\(322\) −5225.17 6552.16i −0.904309 1.13397i
\(323\) 6144.28 + 7704.68i 1.05844 + 1.32724i
\(324\) −762.407 707.411i −0.130728 0.121298i
\(325\) −3692.42 1138.96i −0.630211 0.194394i
\(326\) 1716.22 4372.86i 0.291572 0.742914i
\(327\) 8106.05 + 5526.61i 1.37084 + 0.934625i
\(328\) −4733.39 + 2279.48i −0.796822 + 0.383729i
\(329\) −2932.93 + 2721.36i −0.491482 + 0.456029i
\(330\) −354.503 53.4328i −0.0591356 0.00891326i
\(331\) 846.450 + 11295.1i 0.140559 + 1.87563i 0.409272 + 0.912412i \(0.365783\pi\)
−0.268713 + 0.963220i \(0.586598\pi\)
\(332\) −327.159 833.589i −0.0540819 0.137799i
\(333\) −1437.74 + 6299.17i −0.236600 + 1.03661i
\(334\) 160.505 2141.79i 0.0262947 0.350879i
\(335\) −3011.16 + 928.821i −0.491097 + 0.151483i
\(336\) 10972.0 + 5283.83i 1.78146 + 0.857906i
\(337\) −2355.33 4079.55i −0.380721 0.659428i 0.610445 0.792059i \(-0.290991\pi\)
−0.991165 + 0.132631i \(0.957657\pi\)
\(338\) 2664.90 4615.75i 0.428851 0.742792i
\(339\) −9282.03 + 6328.38i −1.48711 + 1.01389i
\(340\) −214.317 938.984i −0.0341852 0.149775i
\(341\) 271.780 40.9642i 0.0431604 0.00650538i
\(342\) 3700.98 4640.88i 0.585164 0.733772i
\(343\) 13515.5 2.12760
\(344\) −4449.21 5109.07i −0.697341 0.800763i
\(345\) 5537.90 0.864204
\(346\) −5506.32 + 6904.71i −0.855554 + 1.07283i
\(347\) 5740.11 865.183i 0.888027 0.133849i 0.310842 0.950462i \(-0.399389\pi\)
0.577185 + 0.816613i \(0.304151\pi\)
\(348\) −9.94372 43.5663i −0.00153172 0.00671091i
\(349\) −4157.50 + 2834.54i −0.637667 + 0.434754i −0.838523 0.544867i \(-0.816580\pi\)
0.200855 + 0.979621i \(0.435628\pi\)
\(350\) −2549.38 + 4415.65i −0.389343 + 0.674361i
\(351\) 1109.12 + 1921.05i 0.168662 + 0.292131i
\(352\) −121.858 58.6835i −0.0184518 0.00888591i
\(353\) −53.3846 + 16.4670i −0.00804922 + 0.00248285i −0.298777 0.954323i \(-0.596579\pi\)
0.290728 + 0.956806i \(0.406103\pi\)
\(354\) −26.2533 + 350.326i −0.00394166 + 0.0525977i
\(355\) −1570.36 + 6880.20i −0.234778 + 1.02863i
\(356\) 221.334 + 563.950i 0.0329514 + 0.0839587i
\(357\) −1656.31 22101.9i −0.245549 3.27662i
\(358\) 10351.9 + 1560.30i 1.52826 + 0.230348i
\(359\) 2945.09 2732.64i 0.432969 0.401736i −0.433352 0.901225i \(-0.642669\pi\)
0.866320 + 0.499489i \(0.166479\pi\)
\(360\) −3885.89 + 1871.35i −0.568902 + 0.273969i
\(361\) 3119.04 + 2126.53i 0.454737 + 0.310034i
\(362\) −814.747 + 2075.94i −0.118293 + 0.301406i
\(363\) −8876.76 2738.12i −1.28350 0.395906i
\(364\) 1965.12 + 1823.36i 0.282967 + 0.262555i
\(365\) −2335.87 2929.08i −0.334972 0.420042i
\(366\) −5746.32 7205.65i −0.820669 1.02909i
\(367\) 2412.61 + 2238.57i 0.343153 + 0.318399i 0.832856 0.553490i \(-0.186704\pi\)
−0.489703 + 0.871889i \(0.662895\pi\)
\(368\) −4889.66 1508.26i −0.692639 0.213651i
\(369\) 1769.04 4507.45i 0.249574 0.635904i
\(370\) −5079.56 3463.18i −0.713712 0.486601i
\(371\) −10120.1 + 4873.61i −1.41620 + 0.682008i
\(372\) 723.550 671.356i 0.100845 0.0935704i
\(373\) −2978.84 448.987i −0.413507 0.0623262i −0.0610058 0.998137i \(-0.519431\pi\)
−0.352502 + 0.935811i \(0.614669\pi\)
\(374\) −45.0540 601.204i −0.00622911 0.0831217i
\(375\) −3826.08 9748.70i −0.526875 1.34246i
\(376\) −646.576 + 2832.83i −0.0886824 + 0.388543i
\(377\) −24.9701 + 333.203i −0.00341121 + 0.0455194i
\(378\) 2796.97 862.752i 0.380584 0.117395i
\(379\) 6514.80 + 3137.36i 0.882962 + 0.425212i 0.819706 0.572785i \(-0.194137\pi\)
0.0632566 + 0.997997i \(0.479851\pi\)
\(380\) −519.649 900.059i −0.0701511 0.121505i
\(381\) 5538.36 9592.72i 0.744721 1.28990i
\(382\) 257.513 175.570i 0.0344909 0.0235155i
\(383\) −1752.43 7677.89i −0.233799 1.02434i −0.946458 0.322828i \(-0.895366\pi\)
0.712659 0.701511i \(-0.247491\pi\)
\(384\) 7088.76 1068.46i 0.942049 0.141991i
\(385\) −405.821 + 508.883i −0.0537209 + 0.0673639i
\(386\) −8130.50 −1.07210
\(387\) 6208.91 + 662.667i 0.815547 + 0.0870421i
\(388\) 497.744 0.0651266
\(389\) 1771.50 2221.39i 0.230896 0.289534i −0.652864 0.757475i \(-0.726433\pi\)
0.883760 + 0.467941i \(0.155004\pi\)
\(390\) 9519.31 1434.81i 1.23597 0.186293i
\(391\) 2072.32 + 9079.41i 0.268035 + 1.17434i
\(392\) 14919.1 10171.7i 1.92227 1.31058i
\(393\) −4326.40 + 7493.55i −0.555313 + 0.961831i
\(394\) −373.815 647.467i −0.0477983 0.0827891i
\(395\) 107.756 + 51.8926i 0.0137261 + 0.00661012i
\(396\) 63.8544 19.6965i 0.00810304 0.00249946i
\(397\) −19.7843 + 264.003i −0.00250112 + 0.0333752i −0.998315 0.0580320i \(-0.981517\pi\)
0.995814 + 0.0914072i \(0.0291365\pi\)
\(398\) 2111.48 9251.02i 0.265927 1.16510i
\(399\) −8737.72 22263.3i −1.09632 2.79339i
\(400\) 232.650 + 3104.50i 0.0290812 + 0.388062i
\(401\) −10823.7 1631.41i −1.34790 0.203164i −0.564888 0.825167i \(-0.691081\pi\)
−0.783014 + 0.622004i \(0.786319\pi\)
\(402\) −5192.74 + 4818.16i −0.644255 + 0.597781i
\(403\) −6649.52 + 3202.24i −0.821925 + 0.395818i
\(404\) 589.845 + 402.150i 0.0726384 + 0.0495240i
\(405\) −2477.35 + 6312.19i −0.303952 + 0.774458i
\(406\) 421.313 + 129.958i 0.0515011 + 0.0158860i
\(407\) 519.100 + 481.654i 0.0632207 + 0.0586602i
\(408\) −10035.9 12584.6i −1.21777 1.52704i
\(409\) −649.554 814.515i −0.0785290 0.0984723i 0.741015 0.671488i \(-0.234345\pi\)
−0.819544 + 0.573016i \(0.805773\pi\)
\(410\) 3377.42 + 3133.78i 0.406826 + 0.377479i
\(411\) 13423.7 + 4140.68i 1.61106 + 0.496945i
\(412\) 168.646 429.702i 0.0201664 0.0513833i
\(413\) 526.988 + 359.294i 0.0627878 + 0.0428080i
\(414\) 5054.06 2433.91i 0.599984 0.288937i
\(415\) −4279.89 + 3971.16i −0.506245 + 0.469727i
\(416\) 3591.29 + 541.300i 0.423263 + 0.0637966i
\(417\) 1051.06 + 14025.4i 0.123431 + 1.64707i
\(418\) −237.679 605.597i −0.0278116 0.0708629i
\(419\) −3192.73 + 13988.3i −0.372256 + 1.63096i 0.348173 + 0.937430i \(0.386802\pi\)
−0.720429 + 0.693529i \(0.756055\pi\)
\(420\) −174.678 + 2330.92i −0.0202939 + 0.270803i
\(421\) 9308.01 2871.14i 1.07754 0.332377i 0.295333 0.955394i \(-0.404569\pi\)
0.782208 + 0.623017i \(0.214093\pi\)
\(422\) −2889.25 1391.39i −0.333286 0.160502i
\(423\) −1339.05 2319.30i −0.153917 0.266591i
\(424\) −4078.76 + 7064.63i −0.467175 + 0.809171i
\(425\) 4681.48 3191.78i 0.534318 0.364292i
\(426\) 3530.13 + 15466.5i 0.401492 + 1.75905i
\(427\) −16545.8 + 2493.88i −1.87520 + 0.282641i
\(428\) −799.467 + 1002.50i −0.0902890 + 0.113219i
\(429\) −1108.87 −0.124794
\(430\) −2745.30 + 5269.05i −0.307884 + 0.590921i
\(431\) −9625.51 −1.07574 −0.537871 0.843027i \(-0.680771\pi\)
−0.537871 + 0.843027i \(0.680771\pi\)
\(432\) 1114.29 1397.27i 0.124100 0.155616i
\(433\) 9752.56 1469.96i 1.08240 0.163145i 0.416461 0.909154i \(-0.363270\pi\)
0.665936 + 0.746008i \(0.268032\pi\)
\(434\) 2167.05 + 9494.45i 0.239681 + 1.05011i
\(435\) −240.725 + 164.123i −0.0265330 + 0.0180899i
\(436\) 869.986 1506.86i 0.0955614 0.165517i
\(437\) 5024.69 + 8703.02i 0.550031 + 0.952682i
\(438\) −7587.87 3654.13i −0.827768 0.398632i
\(439\) 9101.20 2807.35i 0.989468 0.305210i 0.242559 0.970137i \(-0.422013\pi\)
0.746909 + 0.664926i \(0.231537\pi\)
\(440\) −35.3250 + 471.379i −0.00382739 + 0.0510730i
\(441\) −3703.28 + 16225.1i −0.399879 + 1.75198i
\(442\) 5914.56 + 15070.0i 0.636486 + 1.62174i
\(443\) 198.904 + 2654.19i 0.0213323 + 0.284660i 0.997660 + 0.0683652i \(0.0217783\pi\)
−0.976328 + 0.216295i \(0.930603\pi\)
\(444\) 2514.65 + 379.022i 0.268783 + 0.0405126i
\(445\) 2895.49 2686.62i 0.308448 0.286198i
\(446\) −7758.26 + 3736.18i −0.823687 + 0.396667i
\(447\) 19039.3 + 12980.8i 2.01461 + 1.37354i
\(448\) 6828.03 17397.5i 0.720076 1.83472i
\(449\) −3469.69 1070.26i −0.364688 0.112491i 0.106995 0.994260i \(-0.465877\pi\)
−0.471683 + 0.881768i \(0.656353\pi\)
\(450\) −2501.83 2321.36i −0.262083 0.243178i
\(451\) −330.883 414.915i −0.0345470 0.0433205i
\(452\) 1242.24 + 1557.72i 0.129270 + 0.162099i
\(453\) 7518.13 + 6975.81i 0.779763 + 0.723514i
\(454\) −5883.12 1814.70i −0.608169 0.187595i
\(455\) 6385.41 16269.8i 0.657918 1.67635i
\(456\) −14351.2 9784.45i −1.47380 1.00482i
\(457\) 13.7465 6.61997i 0.00140708 0.000677613i −0.433180 0.901307i \(-0.642609\pi\)
0.434587 + 0.900630i \(0.356894\pi\)
\(458\) 2239.16 2077.63i 0.228447 0.211968i
\(459\) −3216.33 484.783i −0.327070 0.0492979i
\(460\) −73.3971 979.417i −0.00743948 0.0992729i
\(461\) −265.267 675.889i −0.0267998 0.0682848i 0.916847 0.399238i \(-0.130725\pi\)
−0.943647 + 0.330953i \(0.892630\pi\)
\(462\) −325.587 + 1426.49i −0.0327872 + 0.143650i
\(463\) 618.574 8254.30i 0.0620898 0.828531i −0.876038 0.482242i \(-0.839823\pi\)
0.938128 0.346289i \(-0.112558\pi\)
\(464\) 257.246 79.3499i 0.0257378 0.00793907i
\(465\) −5798.03 2792.18i −0.578231 0.278461i
\(466\) −7276.61 12603.5i −0.723352 1.25288i
\(467\) 709.418 1228.75i 0.0702954 0.121755i −0.828735 0.559641i \(-0.810939\pi\)
0.899031 + 0.437885i \(0.144272\pi\)
\(468\) −1482.58 + 1010.81i −0.146437 + 0.0998387i
\(469\) 2861.80 + 12538.4i 0.281761 + 1.23447i
\(470\) 2519.75 379.791i 0.247292 0.0372733i
\(471\) −4067.38 + 5100.34i −0.397909 + 0.498962i
\(472\) 463.208 0.0451714
\(473\) 403.141 553.006i 0.0391891 0.0537574i
\(474\) 268.858 0.0260529
\(475\) 3812.07 4780.19i 0.368232 0.461748i
\(476\) −3886.92 + 585.859i −0.374279 + 0.0564135i
\(477\) −1673.04 7330.08i −0.160594 0.703609i
\(478\) 389.241 265.380i 0.0372457 0.0253937i
\(479\) 3390.05 5871.74i 0.323372 0.560097i −0.657809 0.753185i \(-0.728517\pi\)
0.981182 + 0.193087i \(0.0618501\pi\)
\(480\) 1583.39 + 2742.52i 0.150566 + 0.260788i
\(481\) −17132.1 8250.40i −1.62403 0.782091i
\(482\) 14330.7 4420.43i 1.35424 0.417728i
\(483\) 1689.04 22538.6i 0.159118 2.12328i
\(484\) −366.607 + 1606.21i −0.0344296 + 0.150846i
\(485\) −1185.61 3020.88i −0.111002 0.282827i
\(486\) 960.625 + 12818.6i 0.0896601 + 1.19643i
\(487\) 12571.5 + 1894.85i 1.16975 + 0.176312i 0.705052 0.709156i \(-0.250924\pi\)
0.464701 + 0.885468i \(0.346162\pi\)
\(488\) −8908.06 + 8265.47i −0.826330 + 0.766722i
\(489\) 11414.5 5496.92i 1.05558 0.508342i
\(490\) −13083.7 8920.32i −1.20625 0.822406i
\(491\) 682.718 1739.54i 0.0627508 0.159886i −0.896059 0.443934i \(-0.853582\pi\)
0.958810 + 0.284048i \(0.0916775\pi\)
\(492\) −1821.16 561.754i −0.166879 0.0514752i
\(493\) −359.162 333.253i −0.0328110 0.0304442i
\(494\) 10892.0 + 13658.1i 0.992013 + 1.24394i
\(495\) −271.640 340.626i −0.0246653 0.0309293i
\(496\) 4358.88 + 4044.45i 0.394596 + 0.366132i
\(497\) 27522.7 + 8489.62i 2.48402 + 0.766220i
\(498\) −4794.99 + 12217.4i −0.431463 + 1.09935i
\(499\) −10655.2 7264.62i −0.955900 0.651722i −0.0184457 0.999830i \(-0.505872\pi\)
−0.937454 + 0.348108i \(0.886824\pi\)
\(500\) −1673.42 + 805.876i −0.149675 + 0.0720797i
\(501\) 4246.19 3939.89i 0.378654 0.351340i
\(502\) −12532.4 1888.96i −1.11424 0.167945i
\(503\) −793.783 10592.3i −0.0703639 0.938941i −0.914962 0.403540i \(-0.867780\pi\)
0.844598 0.535401i \(-0.179839\pi\)
\(504\) 6430.99 + 16385.9i 0.568371 + 1.44819i
\(505\) 1035.72 4537.77i 0.0912648 0.399857i
\(506\) 45.9443 613.084i 0.00403651 0.0538635i
\(507\) 13735.6 4236.87i 1.20319 0.371136i
\(508\) −1769.94 852.360i −0.154584 0.0744437i
\(509\) −1189.58 2060.41i −0.103590 0.179423i 0.809571 0.587021i \(-0.199700\pi\)
−0.913161 + 0.407599i \(0.866366\pi\)
\(510\) −7058.04 + 12224.9i −0.612814 + 1.06143i
\(511\) −12633.5 + 8613.35i −1.09368 + 0.745660i
\(512\) −2896.96 12692.4i −0.250056 1.09557i
\(513\) −3470.68 + 523.121i −0.298702 + 0.0450221i
\(514\) 11730.5 14709.5i 1.00663 1.26228i
\(515\) −3009.63 −0.257515
\(516\) 77.4673 2456.42i 0.00660912 0.209570i
\(517\) −293.516 −0.0249687
\(518\) −15644.0 + 19617.0i −1.32695 + 1.66394i
\(519\) −23551.9 + 3549.88i −1.99193 + 0.300236i
\(520\) −2824.51 12375.0i −0.238198 1.04361i
\(521\) −5798.38 + 3953.27i −0.487585 + 0.332430i −0.782032 0.623238i \(-0.785817\pi\)
0.294447 + 0.955668i \(0.404864\pi\)
\(522\) −147.561 + 255.583i −0.0123727 + 0.0214302i
\(523\) −10327.8 17888.3i −0.863488 1.49560i −0.868541 0.495617i \(-0.834942\pi\)
0.00505325 0.999987i \(-0.498391\pi\)
\(524\) 1382.63 + 665.839i 0.115268 + 0.0555101i
\(525\) −13140.1 + 4053.19i −1.09235 + 0.336944i
\(526\) 583.196 7782.20i 0.0483432 0.645095i
\(527\) 2408.14 10550.7i 0.199052 0.872102i
\(528\) 326.391 + 831.631i 0.0269022 + 0.0685456i
\(529\) −199.535 2662.61i −0.0163997 0.218839i
\(530\) 7074.05 + 1066.24i 0.579768 + 0.0873859i
\(531\) −312.960 + 290.384i −0.0255768 + 0.0237318i
\(532\) −3821.63 + 1840.40i −0.311445 + 0.149984i
\(533\) 11774.3 + 8027.61i 0.956854 + 0.652372i
\(534\) 3243.97 8265.50i 0.262885 0.669819i
\(535\) 7988.62 + 2464.16i 0.645567 + 0.199131i
\(536\) 6846.76 + 6352.87i 0.551745 + 0.511944i
\(537\) 17603.5 + 22074.2i 1.41462 + 1.77387i
\(538\) 13248.9 + 16613.6i 1.06171 + 1.33134i
\(539\) 1337.07 + 1240.62i 0.106849 + 0.0991418i
\(540\) 327.794 + 101.111i 0.0261222 + 0.00805763i
\(541\) −4896.88 + 12477.1i −0.389156 + 0.991554i 0.593287 + 0.804991i \(0.297830\pi\)
−0.982443 + 0.186563i \(0.940265\pi\)
\(542\) 3644.76 + 2484.95i 0.288848 + 0.196933i
\(543\) −5418.83 + 2609.57i −0.428259 + 0.206238i
\(544\) −3903.85 + 3622.25i −0.307677 + 0.285483i
\(545\) −11217.6 1690.79i −0.881671 0.132891i
\(546\) −2936.14 39180.1i −0.230138 3.07098i
\(547\) −1642.05 4183.89i −0.128353 0.327038i 0.852223 0.523179i \(-0.175254\pi\)
−0.980576 + 0.196141i \(0.937159\pi\)
\(548\) 554.395 2428.96i 0.0432164 0.189343i
\(549\) 836.993 11168.9i 0.0650674 0.868264i
\(550\) −357.431 + 110.253i −0.0277108 + 0.00854764i
\(551\) −476.343 229.395i −0.0368292 0.0177360i
\(552\) −8207.20 14215.3i −0.632829 1.09609i
\(553\) 244.062 422.728i 0.0187678 0.0325067i
\(554\) 524.130 357.346i 0.0401952 0.0274046i
\(555\) −3689.46 16164.6i −0.282178 1.23630i
\(556\) 2466.57 371.775i 0.188140 0.0283575i
\(557\) −4243.84 + 5321.61i −0.322832 + 0.404818i −0.916592 0.399824i \(-0.869071\pi\)
0.593760 + 0.804642i \(0.297643\pi\)
\(558\) −6518.63 −0.494544
\(559\) −5967.43 + 17380.7i −0.451512 + 1.31507i
\(560\) −14081.6 −1.06260
\(561\) 1013.77 1271.23i 0.0762948 0.0956706i
\(562\) 3026.81 456.218i 0.227186 0.0342427i
\(563\) 1873.10 + 8206.57i 0.140216 + 0.614327i 0.995384 + 0.0959751i \(0.0305969\pi\)
−0.855168 + 0.518351i \(0.826546\pi\)
\(564\) −870.915 + 593.780i −0.0650215 + 0.0443309i
\(565\) 6495.06 11249.8i 0.483627 0.837666i
\(566\) −362.862 628.495i −0.0269474 0.0466743i
\(567\) 24934.3 + 12007.7i 1.84681 + 0.889378i
\(568\) 19988.1 6165.52i 1.47655 0.455457i
\(569\) −510.534 + 6812.60i −0.0376146 + 0.501932i 0.946300 + 0.323291i \(0.104789\pi\)
−0.983914 + 0.178641i \(0.942830\pi\)
\(570\) −3389.53 + 14850.5i −0.249073 + 1.09126i
\(571\) −7828.50 19946.7i −0.573752 1.46190i −0.863279 0.504727i \(-0.831593\pi\)
0.289527 0.957170i \(-0.406502\pi\)
\(572\) 14.6965 + 196.111i 0.00107429 + 0.0143353i
\(573\) 831.166 + 125.278i 0.0605977 + 0.00913363i
\(574\) 13784.2 12789.9i 1.00234 0.930035i
\(575\) 5205.77 2506.97i 0.377558 0.181822i
\(576\) 10336.2 + 7047.12i 0.747702 + 0.509774i
\(577\) −2130.83 + 5429.27i −0.153739 + 0.391722i −0.986905 0.161302i \(-0.948431\pi\)
0.833166 + 0.553023i \(0.186526\pi\)
\(578\) −10480.6 3232.84i −0.754213 0.232644i
\(579\) −16074.0 14914.5i −1.15373 1.07051i
\(580\) 32.2168 + 40.3987i 0.00230643 + 0.00289218i
\(581\) 14856.8 + 18629.9i 1.06087 + 1.33029i
\(582\) −5347.73 4961.97i −0.380877 0.353402i
\(583\) −787.418 242.886i −0.0559374 0.0172544i
\(584\) −4056.92 + 10336.9i −0.287460 + 0.732437i
\(585\) 9666.19 + 6590.30i 0.683158 + 0.465770i
\(586\) 1079.15 519.691i 0.0760739 0.0366352i
\(587\) −12306.9 + 11419.2i −0.865353 + 0.802930i −0.981731 0.190275i \(-0.939062\pi\)
0.116378 + 0.993205i \(0.462872\pi\)
\(588\) 6477.12 + 976.268i 0.454272 + 0.0684704i
\(589\) −872.692 11645.3i −0.0610503 0.814660i
\(590\) −148.410 378.142i −0.0103558 0.0263862i
\(591\) 448.672 1965.76i 0.0312283 0.136820i
\(592\) −1144.87 + 15277.3i −0.0794831 + 1.06063i
\(593\) −15159.6 + 4676.11i −1.04980 + 0.323819i −0.771202 0.636590i \(-0.780344\pi\)
−0.278593 + 0.960409i \(0.589868\pi\)
\(594\) 193.464 + 93.1671i 0.0133635 + 0.00643551i
\(595\) 12814.2 + 22194.8i 0.882908 + 1.52924i
\(596\) 2043.41 3539.29i 0.140438 0.243246i
\(597\) 21144.3 14416.0i 1.44955 0.988285i
\(598\) 3673.61 + 16095.1i 0.251212 + 1.10063i
\(599\) −17716.6 + 2670.34i −1.20848 + 0.182149i −0.722219 0.691665i \(-0.756878\pi\)
−0.486261 + 0.873814i \(0.661639\pi\)
\(600\) −6226.54 + 7807.83i −0.423662 + 0.531256i
\(601\) 9052.98 0.614441 0.307220 0.951638i \(-0.400601\pi\)
0.307220 + 0.951638i \(0.400601\pi\)
\(602\) 20607.1 + 12780.1i 1.39515 + 0.865245i
\(603\) −8608.51 −0.581370
\(604\) 1134.08 1422.09i 0.0763990 0.0958013i
\(605\) 10621.6 1600.94i 0.713765 0.107583i
\(606\) −2328.26 10200.8i −0.156071 0.683793i
\(607\) −10236.8 + 6979.30i −0.684509 + 0.466690i −0.854972 0.518674i \(-0.826426\pi\)
0.170463 + 0.985364i \(0.445474\pi\)
\(608\) −2873.32 + 4976.73i −0.191658 + 0.331962i
\(609\) 594.543 + 1029.78i 0.0395601 + 0.0685201i
\(610\) 9601.65 + 4623.91i 0.637310 + 0.306912i
\(611\) 7531.49 2323.16i 0.498677 0.153821i
\(612\) 196.625 2623.78i 0.0129871 0.173301i
\(613\) −1014.62 + 4445.33i −0.0668516 + 0.292896i −0.997292 0.0735480i \(-0.976568\pi\)
0.930440 + 0.366444i \(0.119425\pi\)
\(614\) 4055.08 + 10332.2i 0.266531 + 0.679109i
\(615\) 928.575 + 12391.0i 0.0608842 + 0.812443i
\(616\) 1907.69 + 287.537i 0.124777 + 0.0188072i
\(617\) −9538.77 + 8850.68i −0.622393 + 0.577496i −0.927037 0.374970i \(-0.877653\pi\)
0.304644 + 0.952466i \(0.401462\pi\)
\(618\) −6095.58 + 2935.48i −0.396764 + 0.191071i
\(619\) −2084.13 1420.94i −0.135328 0.0922653i 0.493764 0.869596i \(-0.335621\pi\)
−0.629092 + 0.777331i \(0.716573\pi\)
\(620\) −416.973 + 1062.43i −0.0270097 + 0.0688197i
\(621\) −3169.57 977.682i −0.204815 0.0631772i
\(622\) 2039.29 + 1892.18i 0.131460 + 0.121977i
\(623\) −10051.1 12603.7i −0.646372 0.810525i
\(624\) −14957.4 18755.9i −0.959573 1.20327i
\(625\) 3444.14 + 3195.70i 0.220425 + 0.204525i
\(626\) −7621.38 2350.88i −0.486600 0.150096i
\(627\) 641.007 1633.26i 0.0408283 0.104029i
\(628\) 955.938 + 651.748i 0.0607422 + 0.0414133i
\(629\) 25121.3 12097.8i 1.59245 0.766883i
\(630\) 11316.2 10499.9i 0.715633 0.664011i
\(631\) 9235.42 + 1392.02i 0.582657 + 0.0878213i 0.433755 0.901031i \(-0.357188\pi\)
0.148901 + 0.988852i \(0.452426\pi\)
\(632\) −26.4915 353.505i −0.00166737 0.0222495i
\(633\) −3159.70 8050.78i −0.198399 0.505513i
\(634\) 3777.76 16551.4i 0.236646 1.03682i
\(635\) −957.155 + 12772.4i −0.0598166 + 0.798197i
\(636\) −2827.77 + 872.252i −0.176303 + 0.0543821i
\(637\) −44128.2 21251.0i −2.74478 1.32181i
\(638\) 16.1725 + 28.0115i 0.00100356 + 0.00173822i
\(639\) −9639.53 + 16696.2i −0.596767 + 1.03363i
\(640\) −6849.04 + 4669.60i −0.423019 + 0.288409i
\(641\) 1119.93 + 4906.74i 0.0690088 + 0.302347i 0.997640 0.0686558i \(-0.0218710\pi\)
−0.928632 + 0.371003i \(0.879014\pi\)
\(642\) 18583.2 2800.97i 1.14240 0.172189i
\(643\) 4699.73 5893.27i 0.288241 0.361443i −0.616537 0.787326i \(-0.711465\pi\)
0.904778 + 0.425883i \(0.140036\pi\)
\(644\) −4008.50 −0.245275
\(645\) −15092.9 + 5380.96i −0.921369 + 0.328488i
\(646\) −25615.8 −1.56013
\(647\) 15009.9 18821.9i 0.912058 1.14368i −0.0771287 0.997021i \(-0.524575\pi\)
0.989187 0.146663i \(-0.0468533\pi\)
\(648\) 19874.3 2995.56i 1.20484 0.181600i
\(649\) 10.4119 + 45.6176i 0.000629743 + 0.00275908i
\(650\) 8298.89 5658.08i 0.500783 0.341428i
\(651\) −13132.2 + 22745.7i −0.790619 + 1.36939i
\(652\) −1123.45 1945.88i −0.0674813 0.116881i
\(653\) 12214.9 + 5882.38i 0.732014 + 0.352519i 0.762476 0.647017i \(-0.223984\pi\)
−0.0304619 + 0.999536i \(0.509698\pi\)
\(654\) −24368.8 + 7516.79i −1.45703 + 0.449434i
\(655\) 747.702 9977.38i 0.0446032 0.595189i
\(656\) 2554.83 11193.5i 0.152057 0.666206i
\(657\) −3739.16 9527.24i −0.222038 0.565743i
\(658\) −777.194 10370.9i −0.0460459 0.614439i
\(659\) 19233.1 + 2898.92i 1.13690 + 0.171360i 0.690401 0.723427i \(-0.257434\pi\)
0.446495 + 0.894786i \(0.352672\pi\)
\(660\) −125.702 + 116.635i −0.00741357 + 0.00687879i
\(661\) 6579.10 3168.33i 0.387137 0.186435i −0.230183 0.973147i \(-0.573933\pi\)
0.617320 + 0.786712i \(0.288218\pi\)
\(662\) −24326.4 16585.5i −1.42821 0.973736i
\(663\) −15951.2 + 40643.0i −0.934380 + 2.38076i
\(664\) 16536.4 + 5100.81i 0.966473 + 0.298117i
\(665\) 20272.6 + 18810.3i 1.18216 + 1.09689i
\(666\) −10471.5 13130.8i −0.609250 0.763976i
\(667\) −311.517 390.631i −0.0180840 0.0226766i
\(668\) −753.075 698.752i −0.0436188 0.0404723i
\(669\) −22191.7 6845.22i −1.28248 0.395593i
\(670\) 2992.52 7624.80i 0.172554 0.439660i
\(671\) −1014.23 691.492i −0.0583517 0.0397835i
\(672\) 11644.7 5607.77i 0.668456 0.321911i
\(673\) −7514.50 + 6972.44i −0.430405 + 0.399358i −0.865405 0.501073i \(-0.832939\pi\)
0.435000 + 0.900431i \(0.356748\pi\)
\(674\) 12108.0 + 1824.98i 0.691960 + 0.104296i
\(675\) 150.808 + 2012.39i 0.00859941 + 0.114751i
\(676\) −931.366 2373.08i −0.0529908 0.135018i
\(677\) 7048.52 30881.6i 0.400143 1.75314i −0.226672 0.973971i \(-0.572785\pi\)
0.626815 0.779168i \(-0.284358\pi\)
\(678\) 2182.23 29119.8i 0.123610 1.64947i
\(679\) −12656.3 + 3903.94i −0.715320 + 0.220647i
\(680\) 16769.2 + 8075.62i 0.945690 + 0.455420i
\(681\) −8302.06 14379.6i −0.467160 0.809144i
\(682\) −357.217 + 618.718i −0.0200565 + 0.0347389i
\(683\) 8997.87 6134.65i 0.504091 0.343683i −0.284424 0.958698i \(-0.591803\pi\)
0.788515 + 0.615015i \(0.210850\pi\)
\(684\) −631.784 2768.03i −0.0353170 0.154734i
\(685\) −16062.3 + 2421.00i −0.895926 + 0.135039i
\(686\) −21904.2 + 27467.0i −1.21911 + 1.52871i
\(687\) 8237.99 0.457495
\(688\) 14791.7 640.493i 0.819666 0.0354921i
\(689\) 22127.2 1.22348
\(690\) −8975.14 + 11254.5i −0.495185 + 0.620943i
\(691\) −705.525 + 106.341i −0.0388414 + 0.00585441i −0.168434 0.985713i \(-0.553871\pi\)
0.129593 + 0.991567i \(0.458633\pi\)
\(692\) 939.969 + 4118.27i 0.0516362 + 0.226233i
\(693\) −1469.16 + 1001.65i −0.0805319 + 0.0549057i
\(694\) −7544.59 + 13067.6i −0.412664 + 0.714755i
\(695\) −8131.64 14084.4i −0.443814 0.768708i
\(696\) 778.045 + 374.687i 0.0423732 + 0.0204058i
\(697\) −19967.6 + 6159.18i −1.08512 + 0.334714i
\(698\) 977.438 13043.0i 0.0530037 0.707285i
\(699\) 8733.76 38265.1i 0.472591 2.07056i
\(700\) 890.990 + 2270.21i 0.0481089 + 0.122580i
\(701\) 866.004 + 11556.0i 0.0466598 + 0.622632i 0.970694 + 0.240321i \(0.0772526\pi\)
−0.924034 + 0.382311i \(0.875128\pi\)
\(702\) −5701.60 859.378i −0.306543 0.0462039i
\(703\) 22055.7 20464.7i 1.18328 1.09793i
\(704\) 1235.30 594.888i 0.0661322 0.0318476i
\(705\) 5678.23 + 3871.35i 0.303340 + 0.206814i
\(706\) 53.0539 135.179i 0.00282820 0.00720614i
\(707\) −18152.3 5599.24i −0.965612 0.297852i
\(708\) 123.178 + 114.292i 0.00653858 + 0.00606691i
\(709\) 12302.2 + 15426.5i 0.651649 + 0.817142i 0.992405 0.123010i \(-0.0392546\pi\)
−0.340756 + 0.940152i \(0.610683\pi\)
\(710\) −11437.3 14342.0i −0.604557 0.758091i
\(711\) 239.510 + 222.233i 0.0126334 + 0.0117221i
\(712\) −11187.4 3450.87i −0.588858 0.181639i
\(713\) 4031.88 10273.1i 0.211774 0.539592i
\(714\) 47601.2 + 32453.9i 2.49500 + 1.70106i
\(715\) 1155.22 556.325i 0.0604235 0.0290984i
\(716\) 3670.66 3405.88i 0.191591 0.177770i
\(717\) 1256.34 + 189.363i 0.0654377 + 0.00986314i
\(718\) 780.416 + 10413.9i 0.0405639 + 0.541288i
\(719\) −2419.23 6164.11i −0.125483 0.319725i 0.854303 0.519776i \(-0.173985\pi\)
−0.979786 + 0.200051i \(0.935889\pi\)
\(720\) 2097.40 9189.30i 0.108563 0.475646i
\(721\) −917.926 + 12248.9i −0.0474138 + 0.632693i
\(722\) −9376.62 + 2892.30i −0.483326 + 0.149086i
\(723\) 36440.5 + 17548.8i 1.87446 + 0.902693i
\(724\) 533.341 + 923.773i 0.0273777 + 0.0474196i
\(725\) −151.990 + 263.255i −0.00778590 + 0.0134856i
\(726\) 19950.9 13602.3i 1.01990 0.695357i
\(727\) 3735.26 + 16365.2i 0.190554 + 0.834873i 0.976317 + 0.216345i \(0.0694136\pi\)
−0.785763 + 0.618528i \(0.787729\pi\)
\(728\) −51226.2 + 7721.11i −2.60793 + 0.393082i
\(729\) −7533.08 + 9446.19i −0.382720 + 0.479916i
\(730\) 9738.36 0.493744
\(731\) −14470.0 22731.3i −0.732135 1.15013i
\(732\) −4408.29 −0.222589
\(733\) 3627.49 4548.72i 0.182789 0.229210i −0.681992 0.731360i \(-0.738886\pi\)
0.864781 + 0.502150i \(0.167457\pi\)
\(734\) −8459.43 + 1275.05i −0.425400 + 0.0641187i
\(735\) −9503.15 41636.0i −0.476910 2.08948i
\(736\) −4487.06 + 3059.23i −0.224722 + 0.153213i
\(737\) −471.741 + 817.079i −0.0235778 + 0.0408379i
\(738\) 6293.28 + 10900.3i 0.313901 + 0.543693i
\(739\) 8012.35 + 3858.54i 0.398835 + 0.192069i 0.622540 0.782588i \(-0.286101\pi\)
−0.223705 + 0.974657i \(0.571815\pi\)
\(740\) −2809.92 + 866.746i −0.139588 + 0.0430571i
\(741\) −3520.83 + 46982.3i −0.174549 + 2.32920i
\(742\) 6497.03 28465.4i 0.321447 1.40835i
\(743\) 4789.59 + 12203.7i 0.236491 + 0.602570i 0.999014 0.0443909i \(-0.0141347\pi\)
−0.762523 + 0.646961i \(0.776039\pi\)
\(744\) 1425.43 + 19021.0i 0.0702403 + 0.937292i
\(745\) −26347.8 3971.29i −1.29572 0.195298i
\(746\) 5740.19 5326.12i 0.281720 0.261398i
\(747\) −14370.3 + 6920.36i −0.703857 + 0.338960i
\(748\) −238.262 162.444i −0.0116467 0.00794056i
\(749\) 12465.4 31761.2i 0.608110 1.54944i
\(750\) 26012.8 + 8023.88i 1.26647 + 0.390654i
\(751\) 25042.7 + 23236.2i 1.21681 + 1.12903i 0.987820 + 0.155600i \(0.0497312\pi\)
0.228985 + 0.973430i \(0.426459\pi\)
\(752\) −3959.19 4964.67i −0.191991 0.240749i
\(753\) −21311.5 26723.7i −1.03138 1.29332i
\(754\) −636.688 590.760i −0.0307517 0.0285334i
\(755\) −11332.2 3495.52i −0.546253 0.168497i
\(756\) 511.486 1303.24i 0.0246065 0.0626965i
\(757\) −11002.1 7501.08i