Properties

Label 29.3.f.a.21.2
Level $29$
Weight $3$
Character 29.21
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 21.2
Character \(\chi\) \(=\) 29.21
Dual form 29.3.f.a.18.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.887518 + 2.53638i) q^{2} +(-5.44603 - 0.613620i) q^{3} +(-2.51821 - 2.00821i) q^{4} +(3.04201 + 6.31680i) q^{5} +(6.38982 - 13.2686i) q^{6} +(-0.484944 - 0.608100i) q^{7} +(-1.77265 + 1.11383i) q^{8} +(20.5084 + 4.68090i) q^{9} +O(q^{10})\) \(q+(-0.887518 + 2.53638i) q^{2} +(-5.44603 - 0.613620i) q^{3} +(-2.51821 - 2.00821i) q^{4} +(3.04201 + 6.31680i) q^{5} +(6.38982 - 13.2686i) q^{6} +(-0.484944 - 0.608100i) q^{7} +(-1.77265 + 1.11383i) q^{8} +(20.5084 + 4.68090i) q^{9} +(-18.7217 + 2.10942i) q^{10} +(4.24713 + 2.66865i) q^{11} +(12.4820 + 12.4820i) q^{12} +(-2.96174 + 0.675998i) q^{13} +(1.97277 - 0.690302i) q^{14} +(-12.6908 - 36.2681i) q^{15} +(-4.11872 - 18.0453i) q^{16} +(5.44882 - 5.44882i) q^{17} +(-30.0741 + 47.8626i) q^{18} +(1.87808 + 16.6684i) q^{19} +(5.02502 - 22.0160i) q^{20} +(2.26788 + 3.60930i) q^{21} +(-10.5381 + 8.40387i) q^{22} +(16.4971 + 7.94460i) q^{23} +(10.3374 - 4.97822i) q^{24} +(-15.0609 + 18.8858i) q^{25} +(0.914010 - 8.11206i) q^{26} +(-62.2604 - 21.7859i) q^{27} +2.50519i q^{28} +(10.4908 + 27.0359i) q^{29} +103.253 q^{30} +(7.35600 - 21.0222i) q^{31} +(41.1037 + 4.63127i) q^{32} +(-21.4925 - 17.1397i) q^{33} +(8.98436 + 18.6562i) q^{34} +(2.36604 - 4.91314i) q^{35} +(-42.2442 - 52.9726i) q^{36} +(6.78996 - 4.26641i) q^{37} +(-43.9442 - 10.0300i) q^{38} +(16.5445 - 1.86412i) q^{39} +(-12.4283 - 7.80920i) q^{40} +(-35.8844 - 35.8844i) q^{41} +(-11.1673 + 2.54887i) q^{42} +(61.1002 - 21.3799i) q^{43} +(-5.33598 - 15.2493i) q^{44} +(32.8184 + 143.787i) q^{45} +(-34.7920 + 34.7920i) q^{46} +(-23.5776 + 37.5236i) q^{47} +(11.3577 + 100.803i) q^{48} +(10.7689 - 47.1817i) q^{49} +(-34.5347 - 54.9616i) q^{50} +(-33.0180 + 26.3309i) q^{51} +(8.81584 + 4.24548i) q^{52} +(21.6177 - 10.4105i) q^{53} +(110.514 - 138.581i) q^{54} +(-3.93751 + 34.9463i) q^{55} +(1.53696 + 0.537804i) q^{56} -91.9291i q^{57} +(-77.8843 + 2.61386i) q^{58} -90.6825 q^{59} +(-40.8759 + 116.817i) q^{60} +(10.2072 + 1.15007i) q^{61} +(46.7918 + 37.3152i) q^{62} +(-7.09895 - 14.7411i) q^{63} +(-16.1033 + 33.4388i) q^{64} +(-13.2798 - 16.6523i) q^{65} +(62.5477 - 39.3013i) q^{66} +(20.7115 + 4.72727i) q^{67} +(-24.6636 + 2.77893i) q^{68} +(-84.9689 - 53.3895i) q^{69} +(10.3617 + 10.3617i) q^{70} +(88.7237 - 20.2506i) q^{71} +(-41.5679 + 14.5452i) q^{72} +(2.59826 + 7.42540i) q^{73} +(4.79504 + 21.0084i) q^{74} +(93.6108 - 93.6108i) q^{75} +(28.7442 - 45.7461i) q^{76} +(-0.436813 - 3.87683i) q^{77} +(-9.95545 + 43.6177i) q^{78} +(13.3758 + 21.2875i) q^{79} +(101.459 - 80.9111i) q^{80} +(155.131 + 74.7070i) q^{81} +(122.865 - 59.1685i) q^{82} +(-81.3375 + 101.994i) q^{83} +(1.53724 - 13.6434i) q^{84} +(50.9945 + 17.8437i) q^{85} +173.948i q^{86} +(-40.5436 - 153.676i) q^{87} -10.5011 q^{88} +(-34.1779 + 97.6747i) q^{89} +(-393.825 - 44.3734i) q^{90} +(1.84735 + 1.47321i) q^{91} +(-25.5889 - 53.1358i) q^{92} +(-52.9607 + 109.974i) q^{93} +(-74.2485 - 93.1046i) q^{94} +(-99.5779 + 62.5689i) q^{95} +(-221.010 - 50.4441i) q^{96} +(113.157 - 12.7497i) q^{97} +(110.113 + 69.1886i) q^{98} +(74.6100 + 74.6100i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{17}{28}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.887518 + 2.53638i −0.443759 + 1.26819i 0.477291 + 0.878745i \(0.341619\pi\)
−0.921050 + 0.389445i \(0.872667\pi\)
\(3\) −5.44603 0.613620i −1.81534 0.204540i −0.862099 0.506740i \(-0.830850\pi\)
−0.953245 + 0.302200i \(0.902279\pi\)
\(4\) −2.51821 2.00821i −0.629553 0.502052i
\(5\) 3.04201 + 6.31680i 0.608402 + 1.26336i 0.946638 + 0.322299i \(0.104456\pi\)
−0.338236 + 0.941061i \(0.609830\pi\)
\(6\) 6.38982 13.2686i 1.06497 2.21143i
\(7\) −0.484944 0.608100i −0.0692777 0.0868715i 0.745985 0.665963i \(-0.231979\pi\)
−0.815263 + 0.579091i \(0.803408\pi\)
\(8\) −1.77265 + 1.11383i −0.221581 + 0.139229i
\(9\) 20.5084 + 4.68090i 2.27871 + 0.520100i
\(10\) −18.7217 + 2.10942i −1.87217 + 0.210942i
\(11\) 4.24713 + 2.66865i 0.386103 + 0.242604i 0.711071 0.703121i \(-0.248211\pi\)
−0.324968 + 0.945725i \(0.605353\pi\)
\(12\) 12.4820 + 12.4820i 1.04017 + 1.04017i
\(13\) −2.96174 + 0.675998i −0.227826 + 0.0519999i −0.334910 0.942250i \(-0.608706\pi\)
0.107084 + 0.994250i \(0.465849\pi\)
\(14\) 1.97277 0.690302i 0.140912 0.0493073i
\(15\) −12.6908 36.2681i −0.846051 2.41788i
\(16\) −4.11872 18.0453i −0.257420 1.12783i
\(17\) 5.44882 5.44882i 0.320519 0.320519i −0.528447 0.848966i \(-0.677226\pi\)
0.848966 + 0.528447i \(0.177226\pi\)
\(18\) −30.0741 + 47.8626i −1.67078 + 2.65904i
\(19\) 1.87808 + 16.6684i 0.0988462 + 0.877284i 0.941083 + 0.338176i \(0.109810\pi\)
−0.842237 + 0.539108i \(0.818761\pi\)
\(20\) 5.02502 22.0160i 0.251251 1.10080i
\(21\) 2.26788 + 3.60930i 0.107994 + 0.171872i
\(22\) −10.5381 + 8.40387i −0.479005 + 0.381994i
\(23\) 16.4971 + 7.94460i 0.717266 + 0.345417i 0.756662 0.653806i \(-0.226829\pi\)
−0.0393955 + 0.999224i \(0.512543\pi\)
\(24\) 10.3374 4.97822i 0.430724 0.207426i
\(25\) −15.0609 + 18.8858i −0.602436 + 0.755431i
\(26\) 0.914010 8.11206i 0.0351542 0.312002i
\(27\) −62.2604 21.7859i −2.30594 0.806884i
\(28\) 2.50519i 0.0894712i
\(29\) 10.4908 + 27.0359i 0.361753 + 0.932274i
\(30\) 103.253 3.44177
\(31\) 7.35600 21.0222i 0.237290 0.678137i −0.762234 0.647301i \(-0.775898\pi\)
0.999524 0.0308353i \(-0.00981675\pi\)
\(32\) 41.1037 + 4.63127i 1.28449 + 0.144727i
\(33\) −21.4925 17.1397i −0.651287 0.519384i
\(34\) 8.98436 + 18.6562i 0.264246 + 0.548712i
\(35\) 2.36604 4.91314i 0.0676013 0.140375i
\(36\) −42.2442 52.9726i −1.17345 1.47146i
\(37\) 6.78996 4.26641i 0.183512 0.115308i −0.437143 0.899392i \(-0.644010\pi\)
0.620655 + 0.784084i \(0.286867\pi\)
\(38\) −43.9442 10.0300i −1.15643 0.263947i
\(39\) 16.5445 1.86412i 0.424219 0.0477980i
\(40\) −12.4283 7.80920i −0.310707 0.195230i
\(41\) −35.8844 35.8844i −0.875230 0.875230i 0.117807 0.993037i \(-0.462414\pi\)
−0.993037 + 0.117807i \(0.962414\pi\)
\(42\) −11.1673 + 2.54887i −0.265889 + 0.0606875i
\(43\) 61.1002 21.3799i 1.42093 0.497207i 0.493026 0.870014i \(-0.335891\pi\)
0.927909 + 0.372808i \(0.121605\pi\)
\(44\) −5.33598 15.2493i −0.121272 0.346576i
\(45\) 32.8184 + 143.787i 0.729297 + 3.19526i
\(46\) −34.7920 + 34.7920i −0.756348 + 0.756348i
\(47\) −23.5776 + 37.5236i −0.501651 + 0.798374i −0.997546 0.0700088i \(-0.977697\pi\)
0.495895 + 0.868383i \(0.334840\pi\)
\(48\) 11.3577 + 100.803i 0.236619 + 2.10005i
\(49\) 10.7689 47.1817i 0.219774 0.962891i
\(50\) −34.5347 54.9616i −0.690694 1.09923i
\(51\) −33.0180 + 26.3309i −0.647411 + 0.516293i
\(52\) 8.81584 + 4.24548i 0.169535 + 0.0816439i
\(53\) 21.6177 10.4105i 0.407880 0.196425i −0.218682 0.975796i \(-0.570176\pi\)
0.626562 + 0.779371i \(0.284461\pi\)
\(54\) 110.514 138.581i 2.04656 2.56631i
\(55\) −3.93751 + 34.9463i −0.0715910 + 0.635388i
\(56\) 1.53696 + 0.537804i 0.0274457 + 0.00960365i
\(57\) 91.9291i 1.61279i
\(58\) −77.8843 + 2.61386i −1.34283 + 0.0450665i
\(59\) −90.6825 −1.53699 −0.768496 0.639855i \(-0.778994\pi\)
−0.768496 + 0.639855i \(0.778994\pi\)
\(60\) −40.8759 + 116.817i −0.681265 + 1.94694i
\(61\) 10.2072 + 1.15007i 0.167331 + 0.0188537i 0.195232 0.980757i \(-0.437454\pi\)
−0.0279015 + 0.999611i \(0.508882\pi\)
\(62\) 46.7918 + 37.3152i 0.754707 + 0.601858i
\(63\) −7.09895 14.7411i −0.112682 0.233986i
\(64\) −16.1033 + 33.4388i −0.251614 + 0.522481i
\(65\) −13.2798 16.6523i −0.204305 0.256190i
\(66\) 62.5477 39.3013i 0.947692 0.595474i
\(67\) 20.7115 + 4.72727i 0.309127 + 0.0705562i 0.374270 0.927320i \(-0.377893\pi\)
−0.0651432 + 0.997876i \(0.520750\pi\)
\(68\) −24.6636 + 2.77893i −0.362701 + 0.0408666i
\(69\) −84.9689 53.3895i −1.23143 0.773761i
\(70\) 10.3617 + 10.3617i 0.148024 + 0.148024i
\(71\) 88.7237 20.2506i 1.24963 0.285220i 0.453999 0.891002i \(-0.349997\pi\)
0.795630 + 0.605783i \(0.207140\pi\)
\(72\) −41.5679 + 14.5452i −0.577332 + 0.202017i
\(73\) 2.59826 + 7.42540i 0.0355926 + 0.101718i 0.960308 0.278940i \(-0.0899832\pi\)
−0.924716 + 0.380658i \(0.875697\pi\)
\(74\) 4.79504 + 21.0084i 0.0647978 + 0.283898i
\(75\) 93.6108 93.6108i 1.24814 1.24814i
\(76\) 28.7442 45.7461i 0.378213 0.601923i
\(77\) −0.436813 3.87683i −0.00567290 0.0503484i
\(78\) −9.95545 + 43.6177i −0.127634 + 0.559201i
\(79\) 13.3758 + 21.2875i 0.169314 + 0.269462i 0.920593 0.390522i \(-0.127706\pi\)
−0.751279 + 0.659985i \(0.770563\pi\)
\(80\) 101.459 80.9111i 1.26824 1.01139i
\(81\) 155.131 + 74.7070i 1.91519 + 0.922308i
\(82\) 122.865 59.1685i 1.49835 0.721567i
\(83\) −81.3375 + 101.994i −0.979970 + 1.22884i −0.00651213 + 0.999979i \(0.502073\pi\)
−0.973458 + 0.228865i \(0.926499\pi\)
\(84\) 1.53724 13.6434i 0.0183004 0.162421i
\(85\) 50.9945 + 17.8437i 0.599935 + 0.209926i
\(86\) 173.948i 2.02266i
\(87\) −40.5436 153.676i −0.466018 1.76639i
\(88\) −10.5011 −0.119331
\(89\) −34.1779 + 97.6747i −0.384021 + 1.09747i 0.575978 + 0.817465i \(0.304621\pi\)
−0.959999 + 0.280004i \(0.909664\pi\)
\(90\) −393.825 44.3734i −4.37583 0.493037i
\(91\) 1.84735 + 1.47321i 0.0203006 + 0.0161892i
\(92\) −25.5889 53.1358i −0.278140 0.577563i
\(93\) −52.9607 + 109.974i −0.569470 + 1.18252i
\(94\) −74.2485 93.1046i −0.789877 0.990475i
\(95\) −99.5779 + 62.5689i −1.04819 + 0.658620i
\(96\) −221.010 50.4441i −2.30219 0.525459i
\(97\) 113.157 12.7497i 1.16657 0.131440i 0.492636 0.870236i \(-0.336033\pi\)
0.673930 + 0.738795i \(0.264605\pi\)
\(98\) 110.113 + 69.1886i 1.12360 + 0.706007i
\(99\) 74.6100 + 74.6100i 0.753637 + 0.753637i
\(100\) 75.8531 17.3130i 0.758531 0.173130i
\(101\) 116.034 40.6019i 1.14885 0.401999i 0.312349 0.949967i \(-0.398884\pi\)
0.836499 + 0.547968i \(0.184598\pi\)
\(102\) −37.4813 107.115i −0.367463 1.05015i
\(103\) −39.5398 173.235i −0.383881 1.68189i −0.685188 0.728366i \(-0.740280\pi\)
0.301307 0.953527i \(-0.402577\pi\)
\(104\) 4.49719 4.49719i 0.0432422 0.0432422i
\(105\) −15.9004 + 25.3053i −0.151432 + 0.241003i
\(106\) 7.21897 + 64.0701i 0.0681035 + 0.604435i
\(107\) 8.40517 36.8255i 0.0785530 0.344163i −0.920344 0.391109i \(-0.872092\pi\)
0.998897 + 0.0469456i \(0.0149487\pi\)
\(108\) 113.034 + 179.893i 1.04662 + 1.66568i
\(109\) −77.0376 + 61.4355i −0.706767 + 0.563628i −0.909549 0.415596i \(-0.863573\pi\)
0.202782 + 0.979224i \(0.435002\pi\)
\(110\) −85.1426 41.0025i −0.774024 0.372750i
\(111\) −39.5963 + 19.0686i −0.356723 + 0.171789i
\(112\) −8.97600 + 11.2556i −0.0801429 + 0.100496i
\(113\) 13.0669 115.972i 0.115636 1.02630i −0.793147 0.609030i \(-0.791559\pi\)
0.908783 0.417269i \(-0.137013\pi\)
\(114\) 233.167 + 81.5887i 2.04533 + 0.715690i
\(115\) 128.377i 1.11632i
\(116\) 27.8756 89.1500i 0.240307 0.768535i
\(117\) −63.9048 −0.546195
\(118\) 80.4823 230.005i 0.682054 1.94920i
\(119\) −5.95580 0.671058i −0.0500487 0.00563914i
\(120\) 62.8929 + 50.1554i 0.524107 + 0.417961i
\(121\) −41.5835 86.3490i −0.343665 0.713628i
\(122\) −11.9761 + 24.8686i −0.0981646 + 0.203841i
\(123\) 173.408 + 217.447i 1.40982 + 1.76786i
\(124\) −60.7410 + 38.1661i −0.489847 + 0.307791i
\(125\) 5.77034 + 1.31704i 0.0461627 + 0.0105363i
\(126\) 43.6895 4.92263i 0.346742 0.0390685i
\(127\) 63.7007 + 40.0258i 0.501580 + 0.315164i 0.758950 0.651149i \(-0.225713\pi\)
−0.257369 + 0.966313i \(0.582856\pi\)
\(128\) 46.4729 + 46.4729i 0.363069 + 0.363069i
\(129\) −345.873 + 78.9432i −2.68118 + 0.611963i
\(130\) 54.0227 18.9034i 0.415559 0.145411i
\(131\) −12.1966 34.8560i −0.0931041 0.266076i 0.887909 0.460020i \(-0.152158\pi\)
−0.981013 + 0.193944i \(0.937872\pi\)
\(132\) 19.7026 + 86.3227i 0.149262 + 0.653960i
\(133\) 9.22530 9.22530i 0.0693631 0.0693631i
\(134\) −30.3720 + 48.3367i −0.226657 + 0.360722i
\(135\) −51.7799 459.560i −0.383555 3.40414i
\(136\) −3.58979 + 15.7279i −0.0263956 + 0.115646i
\(137\) −62.3288 99.1957i −0.454955 0.724056i 0.537949 0.842977i \(-0.319199\pi\)
−0.992904 + 0.118921i \(0.962056\pi\)
\(138\) 210.827 168.129i 1.52774 1.21833i
\(139\) 63.7270 + 30.6893i 0.458468 + 0.220786i 0.648839 0.760926i \(-0.275255\pi\)
−0.190371 + 0.981712i \(0.560969\pi\)
\(140\) −15.8248 + 7.62082i −0.113034 + 0.0544345i
\(141\) 151.430 189.887i 1.07397 1.34671i
\(142\) −27.3806 + 243.010i −0.192821 + 1.71134i
\(143\) −14.3829 5.03280i −0.100580 0.0351944i
\(144\) 389.359i 2.70388i
\(145\) −138.867 + 148.512i −0.957707 + 1.02422i
\(146\) −21.1396 −0.144792
\(147\) −87.5995 + 250.345i −0.595915 + 1.70303i
\(148\) −25.6664 2.89191i −0.173422 0.0195399i
\(149\) −175.822 140.213i −1.18001 0.941027i −0.180913 0.983499i \(-0.557905\pi\)
−0.999098 + 0.0424718i \(0.986477\pi\)
\(150\) 154.351 + 320.514i 1.02901 + 2.13676i
\(151\) −68.8615 + 142.992i −0.456036 + 0.946970i 0.538504 + 0.842623i \(0.318990\pi\)
−0.994541 + 0.104347i \(0.966725\pi\)
\(152\) −21.8950 27.4554i −0.144046 0.180628i
\(153\) 137.252 86.2410i 0.897071 0.563667i
\(154\) 10.2208 + 2.33283i 0.0663687 + 0.0151482i
\(155\) 155.170 17.4835i 1.00110 0.112797i
\(156\) −45.4062 28.5306i −0.291065 0.182889i
\(157\) −12.9524 12.9524i −0.0824996 0.0824996i 0.664653 0.747152i \(-0.268579\pi\)
−0.747152 + 0.664653i \(0.768579\pi\)
\(158\) −65.8646 + 15.0332i −0.416864 + 0.0951465i
\(159\) −124.119 + 43.4310i −0.780620 + 0.273151i
\(160\) 95.7830 + 273.732i 0.598644 + 1.71083i
\(161\) −3.16907 13.8846i −0.0196836 0.0862397i
\(162\) −327.167 + 327.167i −2.01955 + 2.01955i
\(163\) −7.00062 + 11.1414i −0.0429486 + 0.0683523i −0.867508 0.497422i \(-0.834280\pi\)
0.824560 + 0.565775i \(0.191423\pi\)
\(164\) 18.3012 + 162.428i 0.111593 + 0.990414i
\(165\) 42.8876 187.903i 0.259925 1.13880i
\(166\) −186.507 296.824i −1.12354 1.78810i
\(167\) 122.089 97.3631i 0.731075 0.583013i −0.185610 0.982623i \(-0.559426\pi\)
0.916685 + 0.399611i \(0.130855\pi\)
\(168\) −8.04031 3.87201i −0.0478590 0.0230477i
\(169\) −143.949 + 69.3221i −0.851768 + 0.410190i
\(170\) −90.5170 + 113.505i −0.532453 + 0.667675i
\(171\) −39.5068 + 350.633i −0.231034 + 2.05048i
\(172\) −196.799 68.8628i −1.14418 0.400365i
\(173\) 146.298i 0.845656i −0.906210 0.422828i \(-0.861037\pi\)
0.906210 0.422828i \(-0.138963\pi\)
\(174\) 425.764 + 33.5562i 2.44692 + 0.192852i
\(175\) 18.7881 0.107361
\(176\) 30.6638 87.6322i 0.174226 0.497910i
\(177\) 493.860 + 55.6446i 2.79017 + 0.314376i
\(178\) −217.407 173.376i −1.22139 0.974023i
\(179\) 12.5777 + 26.1178i 0.0702664 + 0.145910i 0.933143 0.359504i \(-0.117054\pi\)
−0.862877 + 0.505414i \(0.831340\pi\)
\(180\) 206.110 427.991i 1.14505 2.37773i
\(181\) 78.5104 + 98.4489i 0.433759 + 0.543917i 0.949886 0.312595i \(-0.101198\pi\)
−0.516127 + 0.856512i \(0.672627\pi\)
\(182\) −5.37619 + 3.37808i −0.0295395 + 0.0185609i
\(183\) −54.8829 12.5267i −0.299907 0.0684517i
\(184\) −38.0926 + 4.29200i −0.207025 + 0.0233261i
\(185\) 47.6052 + 29.9123i 0.257325 + 0.161688i
\(186\) −231.932 231.932i −1.24695 1.24695i
\(187\) 37.6828 8.60086i 0.201513 0.0459939i
\(188\) 134.729 47.1436i 0.716641 0.250764i
\(189\) 16.9448 + 48.4255i 0.0896551 + 0.256220i
\(190\) −70.3214 308.098i −0.370113 1.62157i
\(191\) 39.9099 39.9099i 0.208952 0.208952i −0.594870 0.803822i \(-0.702796\pi\)
0.803822 + 0.594870i \(0.202796\pi\)
\(192\) 108.218 172.227i 0.563633 0.897017i
\(193\) 19.6805 + 174.670i 0.101972 + 0.905023i 0.935688 + 0.352830i \(0.114781\pi\)
−0.833716 + 0.552194i \(0.813791\pi\)
\(194\) −68.0906 + 298.325i −0.350983 + 1.53776i
\(195\) 62.1040 + 98.8379i 0.318482 + 0.506861i
\(196\) −121.869 + 97.1873i −0.621781 + 0.495853i
\(197\) −326.253 157.115i −1.65611 0.797539i −0.999045 0.0437032i \(-0.986084\pi\)
−0.657063 0.753836i \(-0.728201\pi\)
\(198\) −255.457 + 123.022i −1.29019 + 0.621322i
\(199\) 99.9102 125.283i 0.502061 0.629565i −0.464632 0.885504i \(-0.653813\pi\)
0.966693 + 0.255939i \(0.0823847\pi\)
\(200\) 5.66217 50.2532i 0.0283109 0.251266i
\(201\) −109.895 38.4538i −0.546740 0.191313i
\(202\) 330.341i 1.63535i
\(203\) 11.3531 19.4904i 0.0559266 0.0960118i
\(204\) 136.024 0.666785
\(205\) 117.514 335.836i 0.573239 1.63822i
\(206\) 474.482 + 53.4613i 2.30331 + 0.259521i
\(207\) 301.141 + 240.152i 1.45479 + 1.16016i
\(208\) 24.3972 + 50.6613i 0.117294 + 0.243564i
\(209\) −36.5057 + 75.8048i −0.174668 + 0.362703i
\(210\) −50.0719 62.7882i −0.238438 0.298991i
\(211\) −9.11843 + 5.72949i −0.0432153 + 0.0271540i −0.553466 0.832871i \(-0.686695\pi\)
0.510251 + 0.860025i \(0.329552\pi\)
\(212\) −75.3444 17.1969i −0.355398 0.0811172i
\(213\) −495.618 + 55.8427i −2.32685 + 0.262172i
\(214\) 85.9437 + 54.0020i 0.401606 + 0.252346i
\(215\) 320.920 + 320.920i 1.49265 + 1.49265i
\(216\) 134.632 30.7288i 0.623295 0.142263i
\(217\) −16.3509 + 5.72142i −0.0753496 + 0.0263660i
\(218\) −87.4514 249.922i −0.401153 1.14643i
\(219\) −9.59382 42.0333i −0.0438074 0.191933i
\(220\) 80.0950 80.0950i 0.364068 0.364068i
\(221\) −12.4546 + 19.8214i −0.0563557 + 0.0896895i
\(222\) −13.2227 117.355i −0.0595618 0.528626i
\(223\) 58.5274 256.425i 0.262455 1.14989i −0.656124 0.754653i \(-0.727805\pi\)
0.918579 0.395237i \(-0.129338\pi\)
\(224\) −17.1167 27.2411i −0.0764138 0.121612i
\(225\) −397.277 + 316.818i −1.76568 + 1.40808i
\(226\) 282.551 + 136.070i 1.25023 + 0.602078i
\(227\) 64.7369 31.1756i 0.285184 0.137338i −0.285823 0.958282i \(-0.592267\pi\)
0.571008 + 0.820945i \(0.306553\pi\)
\(228\) −184.613 + 231.497i −0.809704 + 1.01534i
\(229\) 4.58663 40.7075i 0.0200290 0.177762i −0.979715 0.200397i \(-0.935777\pi\)
0.999744 + 0.0226347i \(0.00720547\pi\)
\(230\) −325.612 113.937i −1.41570 0.495376i
\(231\) 21.3814i 0.0925600i
\(232\) −48.7100 36.2403i −0.209957 0.156208i
\(233\) 165.821 0.711677 0.355839 0.934547i \(-0.384195\pi\)
0.355839 + 0.934547i \(0.384195\pi\)
\(234\) 56.7166 162.087i 0.242379 0.692679i
\(235\) −308.752 34.7880i −1.31384 0.148034i
\(236\) 228.358 + 182.109i 0.967618 + 0.771649i
\(237\) −59.7828 124.140i −0.252248 0.523798i
\(238\) 6.98794 14.5106i 0.0293611 0.0609689i
\(239\) 89.5683 + 112.315i 0.374763 + 0.469938i 0.933069 0.359697i \(-0.117120\pi\)
−0.558306 + 0.829635i \(0.688549\pi\)
\(240\) −602.200 + 378.387i −2.50916 + 1.57661i
\(241\) 167.355 + 38.1976i 0.694417 + 0.158496i 0.555140 0.831757i \(-0.312665\pi\)
0.139278 + 0.990253i \(0.455522\pi\)
\(242\) 255.920 28.8353i 1.05752 0.119154i
\(243\) −296.340 186.203i −1.21951 0.766267i
\(244\) −23.3943 23.3943i −0.0958781 0.0958781i
\(245\) 330.796 75.5021i 1.35019 0.308172i
\(246\) −705.431 + 246.841i −2.86761 + 1.00342i
\(247\) −16.8302 48.0979i −0.0681384 0.194728i
\(248\) 10.3756 + 45.4584i 0.0418371 + 0.183300i
\(249\) 505.552 505.552i 2.03033 2.03033i
\(250\) −8.46180 + 13.4669i −0.0338472 + 0.0538675i
\(251\) −23.9155 212.256i −0.0952807 0.845640i −0.946911 0.321497i \(-0.895814\pi\)
0.851630 0.524143i \(-0.175614\pi\)
\(252\) −11.7266 + 51.3774i −0.0465340 + 0.203879i
\(253\) 48.8641 + 77.7668i 0.193139 + 0.307379i
\(254\) −158.056 + 126.046i −0.622268 + 0.496242i
\(255\) −266.768 128.469i −1.04615 0.503799i
\(256\) −292.874 + 141.040i −1.14404 + 0.550939i
\(257\) −303.928 + 381.113i −1.18260 + 1.48293i −0.343330 + 0.939215i \(0.611555\pi\)
−0.839269 + 0.543717i \(0.817017\pi\)
\(258\) 106.738 947.328i 0.413714 3.67182i
\(259\) −5.88715 2.06000i −0.0227303 0.00795369i
\(260\) 68.6027i 0.263857i
\(261\) 88.5973 + 603.570i 0.339453 + 2.31253i
\(262\) 99.2328 0.378751
\(263\) −66.9448 + 191.317i −0.254543 + 0.727442i 0.743718 + 0.668493i \(0.233061\pi\)
−0.998261 + 0.0589487i \(0.981225\pi\)
\(264\) 57.1893 + 6.44369i 0.216626 + 0.0244079i
\(265\) 131.522 + 104.886i 0.496311 + 0.395795i
\(266\) 15.2112 + 31.5865i 0.0571851 + 0.118746i
\(267\) 246.069 510.967i 0.921606 1.91374i
\(268\) −42.6626 53.4973i −0.159189 0.199617i
\(269\) 203.769 128.036i 0.757505 0.475972i −0.0970844 0.995276i \(-0.530952\pi\)
0.854589 + 0.519304i \(0.173809\pi\)
\(270\) 1211.57 + 276.534i 4.48731 + 1.02420i
\(271\) −263.172 + 29.6523i −0.971113 + 0.109418i −0.583245 0.812297i \(-0.698217\pi\)
−0.387868 + 0.921715i \(0.626788\pi\)
\(272\) −120.768 75.8834i −0.443999 0.278983i
\(273\) −9.15674 9.15674i −0.0335412 0.0335412i
\(274\) 306.916 70.0516i 1.12013 0.255663i
\(275\) −114.365 + 40.0181i −0.415873 + 0.145520i
\(276\) 106.753 + 305.081i 0.386785 + 1.10537i
\(277\) 2.61129 + 11.4408i 0.00942706 + 0.0413026i 0.979423 0.201820i \(-0.0646855\pi\)
−0.969996 + 0.243122i \(0.921828\pi\)
\(278\) −134.399 + 134.399i −0.483448 + 0.483448i
\(279\) 249.263 396.699i 0.893414 1.42186i
\(280\) 1.27824 + 11.3447i 0.00456513 + 0.0405166i
\(281\) −52.9375 + 231.934i −0.188390 + 0.825389i 0.789076 + 0.614295i \(0.210560\pi\)
−0.977466 + 0.211094i \(0.932297\pi\)
\(282\) 347.229 + 552.611i 1.23131 + 1.95961i
\(283\) 144.810 115.482i 0.511694 0.408063i −0.333314 0.942816i \(-0.608167\pi\)
0.845008 + 0.534753i \(0.179595\pi\)
\(284\) −264.092 127.180i −0.929903 0.447818i
\(285\) 580.698 279.649i 2.03754 0.981225i
\(286\) 25.5302 32.0138i 0.0892663 0.111936i
\(287\) −4.41940 + 39.2232i −0.0153986 + 0.136666i
\(288\) 821.291 + 287.382i 2.85170 + 0.997855i
\(289\) 229.621i 0.794535i
\(290\) −253.436 484.028i −0.873917 1.66906i
\(291\) −624.079 −2.14460
\(292\) 8.36877 23.9166i 0.0286602 0.0819060i
\(293\) −202.753 22.8448i −0.691991 0.0779687i −0.241037 0.970516i \(-0.577488\pi\)
−0.450954 + 0.892547i \(0.648916\pi\)
\(294\) −557.224 444.371i −1.89532 1.51147i
\(295\) −275.857 572.823i −0.935109 1.94177i
\(296\) −7.28417 + 15.1257i −0.0246087 + 0.0511004i
\(297\) −206.289 258.679i −0.694577 0.870972i
\(298\) 511.679 321.509i 1.71704 1.07889i
\(299\) −54.2308 12.3778i −0.181374 0.0413974i
\(300\) −423.722 + 47.7420i −1.41241 + 0.159140i
\(301\) −42.6313 26.7870i −0.141632 0.0889934i
\(302\) −301.567 301.567i −0.998567 0.998567i
\(303\) −656.837 + 149.919i −2.16778 + 0.494782i
\(304\) 293.051 102.543i 0.963984 0.337312i
\(305\) 23.7856 + 67.9753i 0.0779855 + 0.222870i
\(306\) 96.9266 + 424.663i 0.316754 + 1.38779i
\(307\) −367.881 + 367.881i −1.19831 + 1.19831i −0.223638 + 0.974672i \(0.571793\pi\)
−0.974672 + 0.223638i \(0.928207\pi\)
\(308\) −6.68548 + 10.6399i −0.0217061 + 0.0345451i
\(309\) 109.034 + 967.706i 0.352862 + 3.13173i
\(310\) −93.3716 + 409.088i −0.301199 + 1.31964i
\(311\) 91.2159 + 145.169i 0.293299 + 0.466782i 0.960572 0.278030i \(-0.0896816\pi\)
−0.667273 + 0.744813i \(0.732539\pi\)
\(312\) −27.2514 + 21.7323i −0.0873442 + 0.0696546i
\(313\) 355.331 + 171.119i 1.13524 + 0.546705i 0.904569 0.426326i \(-0.140192\pi\)
0.230674 + 0.973031i \(0.425907\pi\)
\(314\) 44.3478 21.3568i 0.141235 0.0680152i
\(315\) 71.5216 89.6853i 0.227053 0.284715i
\(316\) 9.06656 80.4680i 0.0286916 0.254645i
\(317\) −466.769 163.330i −1.47246 0.515235i −0.529547 0.848281i \(-0.677638\pi\)
−0.942911 + 0.333046i \(0.891924\pi\)
\(318\) 353.358i 1.11119i
\(319\) −27.5935 + 142.822i −0.0865001 + 0.447717i
\(320\) −260.212 −0.813164
\(321\) −68.3717 + 195.395i −0.212996 + 0.608707i
\(322\) 38.0292 + 4.28486i 0.118103 + 0.0133070i
\(323\) 101.056 + 80.5898i 0.312868 + 0.249504i
\(324\) −240.625 499.663i −0.742669 1.54217i
\(325\) 31.8397 66.1159i 0.0979684 0.203434i
\(326\) −22.0457 27.6444i −0.0676249 0.0847989i
\(327\) 457.247 287.308i 1.39831 0.878616i
\(328\) 103.580 + 23.6414i 0.315792 + 0.0720774i
\(329\) 34.2519 3.85926i 0.104109 0.0117303i
\(330\) 438.529 + 275.546i 1.32888 + 0.834989i
\(331\) −383.679 383.679i −1.15915 1.15915i −0.984659 0.174491i \(-0.944172\pi\)
−0.174491 0.984659i \(-0.555828\pi\)
\(332\) 409.650 93.5000i 1.23389 0.281627i
\(333\) 159.222 55.7141i 0.478143 0.167309i
\(334\) 138.593 + 396.077i 0.414950 + 1.18586i
\(335\) 33.1434 + 145.211i 0.0989356 + 0.433465i
\(336\) 55.7902 55.7902i 0.166042 0.166042i
\(337\) −74.3654 + 118.352i −0.220669 + 0.351192i −0.938651 0.344869i \(-0.887923\pi\)
0.717982 + 0.696062i \(0.245066\pi\)
\(338\) −48.0701 426.634i −0.142219 1.26223i
\(339\) −142.325 + 623.568i −0.419838 + 1.83943i
\(340\) −92.5810 147.342i −0.272297 0.433358i
\(341\) 87.3429 69.6536i 0.256137 0.204263i
\(342\) −854.275 411.397i −2.49788 1.20292i
\(343\) −68.2509 + 32.8679i −0.198982 + 0.0958248i
\(344\) −84.4958 + 105.954i −0.245627 + 0.308007i
\(345\) 78.7745 699.143i 0.228332 2.02650i
\(346\) 371.069 + 129.843i 1.07245 + 0.375267i
\(347\) 222.069i 0.639967i −0.947423 0.319984i \(-0.896323\pi\)
0.947423 0.319984i \(-0.103677\pi\)
\(348\) −206.516 + 468.409i −0.593436 + 1.34600i
\(349\) 507.615 1.45448 0.727242 0.686382i \(-0.240802\pi\)
0.727242 + 0.686382i \(0.240802\pi\)
\(350\) −16.6748 + 47.6538i −0.0476423 + 0.136154i
\(351\) 199.126 + 22.4362i 0.567312 + 0.0639207i
\(352\) 162.213 + 129.361i 0.460834 + 0.367503i
\(353\) 28.4399 + 59.0561i 0.0805664 + 0.167298i 0.937361 0.348361i \(-0.113262\pi\)
−0.856794 + 0.515659i \(0.827547\pi\)
\(354\) −579.445 + 1203.23i −1.63685 + 3.39896i
\(355\) 397.817 + 498.847i 1.12061 + 1.40520i
\(356\) 282.218 177.329i 0.792748 0.498116i
\(357\) 32.0237 + 7.30920i 0.0897022 + 0.0204739i
\(358\) −77.4077 + 8.72175i −0.216223 + 0.0243624i
\(359\) 162.383 + 102.032i 0.452320 + 0.284211i 0.738863 0.673856i \(-0.235363\pi\)
−0.286543 + 0.958067i \(0.592506\pi\)
\(360\) −218.329 218.329i −0.606471 0.606471i
\(361\) 77.6405 17.7209i 0.215071 0.0490885i
\(362\) −319.383 + 111.757i −0.882274 + 0.308721i
\(363\) 173.480 + 495.776i 0.477905 + 1.36577i
\(364\) −1.69351 7.41973i −0.00465249 0.0203839i
\(365\) −39.0008 + 39.0008i −0.106852 + 0.106852i
\(366\) 80.4820 128.086i 0.219896 0.349963i
\(367\) −67.1256 595.756i −0.182904 1.62331i −0.664755 0.747062i \(-0.731464\pi\)
0.481851 0.876253i \(-0.339965\pi\)
\(368\) 75.4156 330.417i 0.204934 0.897873i
\(369\) −567.959 903.902i −1.53919 2.44960i
\(370\) −118.120 + 94.1972i −0.319242 + 0.254587i
\(371\) −16.8140 8.09719i −0.0453207 0.0218253i
\(372\) 354.217 170.582i 0.952195 0.458553i
\(373\) −205.471 + 257.653i −0.550862 + 0.690759i −0.976839 0.213975i \(-0.931359\pi\)
0.425977 + 0.904734i \(0.359930\pi\)
\(374\) −11.6291 + 103.211i −0.0310940 + 0.275966i
\(375\) −30.6173 10.7135i −0.0816461 0.0285692i
\(376\) 92.7777i 0.246749i
\(377\) −49.3474 72.9817i −0.130895 0.193585i
\(378\) −137.864 −0.364720
\(379\) 248.587 710.420i 0.655902 1.87446i 0.216075 0.976377i \(-0.430675\pi\)
0.439827 0.898083i \(-0.355040\pi\)
\(380\) 376.410 + 42.4112i 0.990551 + 0.111608i
\(381\) −322.355 257.070i −0.846077 0.674724i
\(382\) 65.8059 + 136.647i 0.172267 + 0.357715i
\(383\) 56.8719 118.096i 0.148491 0.308344i −0.813435 0.581656i \(-0.802405\pi\)
0.961925 + 0.273312i \(0.0881192\pi\)
\(384\) −224.576 281.609i −0.584833 0.733358i
\(385\) 23.1603 14.5526i 0.0601567 0.0377990i
\(386\) −460.495 105.105i −1.19299 0.272293i
\(387\) 1353.14 152.463i 3.49649 0.393960i
\(388\) −310.557 195.136i −0.800405 0.502928i
\(389\) 40.4291 + 40.4291i 0.103931 + 0.103931i 0.757160 0.653229i \(-0.226586\pi\)
−0.653229 + 0.757160i \(0.726586\pi\)
\(390\) −305.809 + 69.7989i −0.784125 + 0.178971i
\(391\) 133.179 46.6012i 0.340610 0.119185i
\(392\) 33.4629 + 95.6314i 0.0853645 + 0.243958i
\(393\) 45.0349 + 197.311i 0.114593 + 0.502063i
\(394\) 688.059 688.059i 1.74634 1.74634i
\(395\) −93.7796 + 149.249i −0.237417 + 0.377847i
\(396\) −38.0515 337.716i −0.0960896 0.852819i
\(397\) −109.740 + 480.800i −0.276422 + 1.21108i 0.625859 + 0.779936i \(0.284748\pi\)
−0.902281 + 0.431148i \(0.858109\pi\)
\(398\) 229.094 + 364.601i 0.575614 + 0.916084i
\(399\) −55.9021 + 44.5804i −0.140105 + 0.111730i
\(400\) 402.831 + 193.993i 1.00708 + 0.484983i
\(401\) 625.017 300.992i 1.55865 0.750604i 0.561599 0.827409i \(-0.310186\pi\)
0.997046 + 0.0768054i \(0.0244720\pi\)
\(402\) 195.067 244.606i 0.485242 0.608474i
\(403\) −7.57557 + 67.2351i −0.0187979 + 0.166836i
\(404\) −373.735 130.775i −0.925086 0.323701i
\(405\) 1207.19i 2.98071i
\(406\) 39.3590 + 46.0939i 0.0969433 + 0.113532i
\(407\) 40.2234 0.0988290
\(408\) 29.2011 83.4520i 0.0715713 0.204539i
\(409\) −345.853 38.9683i −0.845607 0.0952770i −0.321479 0.946917i \(-0.604180\pi\)
−0.524128 + 0.851640i \(0.675609\pi\)
\(410\) 747.511 + 596.120i 1.82320 + 1.45395i
\(411\) 278.576 + 578.469i 0.677801 + 1.40747i
\(412\) −248.322 + 515.647i −0.602724 + 1.25157i
\(413\) 43.9759 + 55.1441i 0.106479 + 0.133521i
\(414\) −876.386 + 550.670i −2.11687 + 1.33012i
\(415\) −891.706 203.526i −2.14869 0.490424i
\(416\) −124.869 + 14.0694i −0.300166 + 0.0338206i
\(417\) −328.228 206.239i −0.787117 0.494578i
\(418\) −159.870 159.870i −0.382465 0.382465i
\(419\) −329.799 + 75.2745i −0.787110 + 0.179653i −0.597140 0.802137i \(-0.703696\pi\)
−0.189970 + 0.981790i \(0.560839\pi\)
\(420\) 90.8587 31.7928i 0.216330 0.0756972i
\(421\) −256.232 732.270i −0.608628 1.73936i −0.671157 0.741316i \(-0.734202\pi\)
0.0625287 0.998043i \(-0.480084\pi\)
\(422\) −6.43939 28.2128i −0.0152592 0.0668550i
\(423\) −659.183 + 659.183i −1.55835 + 1.55835i
\(424\) −26.7250 + 42.5326i −0.0630307 + 0.100313i
\(425\) 20.8410 + 184.969i 0.0490377 + 0.435222i
\(426\) 298.231 1306.64i 0.700074 3.06722i
\(427\) −4.25055 6.76471i −0.00995445 0.0158424i
\(428\) −95.1192 + 75.8550i −0.222241 + 0.177231i
\(429\) 75.2415 + 36.2344i 0.175388 + 0.0844625i
\(430\) −1098.80 + 529.153i −2.55534 + 1.23059i
\(431\) 291.616 365.675i 0.676604 0.848435i −0.318432 0.947946i \(-0.603156\pi\)
0.995036 + 0.0995110i \(0.0317278\pi\)
\(432\) −136.699 + 1213.24i −0.316433 + 2.80842i
\(433\) 371.489 + 129.990i 0.857942 + 0.300207i 0.723170 0.690670i \(-0.242684\pi\)
0.134772 + 0.990877i \(0.456970\pi\)
\(434\) 46.5499i 0.107258i
\(435\) 847.407 723.590i 1.94806 1.66343i
\(436\) 317.372 0.727918
\(437\) −101.441 + 289.901i −0.232130 + 0.663390i
\(438\) 115.127 + 12.9717i 0.262847 + 0.0296158i
\(439\) −379.937 302.990i −0.865461 0.690182i 0.0865494 0.996248i \(-0.472416\pi\)
−0.952011 + 0.306065i \(0.900987\pi\)
\(440\) −31.9445 66.3334i −0.0726011 0.150758i
\(441\) 441.706 917.211i 1.00160 2.07984i
\(442\) −39.2209 49.1815i −0.0887351 0.111270i
\(443\) −189.101 + 118.820i −0.426865 + 0.268217i −0.728285 0.685274i \(-0.759682\pi\)
0.301420 + 0.953492i \(0.402539\pi\)
\(444\) 138.005 + 31.4988i 0.310823 + 0.0709434i
\(445\) −720.961 + 81.2328i −1.62014 + 0.182546i
\(446\) 598.448 + 376.030i 1.34181 + 0.843117i
\(447\) 871.492 + 871.492i 1.94965 + 1.94965i
\(448\) 28.1433 6.42353i 0.0628199 0.0143382i
\(449\) −126.403 + 44.2303i −0.281521 + 0.0985084i −0.467346 0.884074i \(-0.654790\pi\)
0.185825 + 0.982583i \(0.440504\pi\)
\(450\) −450.980 1288.83i −1.00218 2.86406i
\(451\) −56.6429 248.169i −0.125594 0.550263i
\(452\) −265.800 + 265.800i −0.588054 + 0.588054i
\(453\) 462.765 736.486i 1.02156 1.62580i
\(454\) 21.6181 + 191.866i 0.0476170 + 0.422613i
\(455\) −3.68634 + 16.1509i −0.00810184 + 0.0354965i
\(456\) 102.393 + 162.958i 0.224547 + 0.357364i
\(457\) −417.001 + 332.547i −0.912475 + 0.727674i −0.962559 0.271071i \(-0.912622\pi\)
0.0500847 + 0.998745i \(0.484051\pi\)
\(458\) 99.1790 + 47.7621i 0.216548 + 0.104284i
\(459\) −457.953 + 220.539i −0.997719 + 0.480476i
\(460\) 257.807 323.280i 0.560450 0.702782i
\(461\) 7.66047 67.9885i 0.0166171 0.147480i −0.982664 0.185396i \(-0.940643\pi\)
0.999281 + 0.0379155i \(0.0120718\pi\)
\(462\) −54.2312 18.9763i −0.117384 0.0410743i
\(463\) 141.457i 0.305522i −0.988263 0.152761i \(-0.951183\pi\)
0.988263 0.152761i \(-0.0488165\pi\)
\(464\) 444.663 300.664i 0.958325 0.647982i
\(465\) −855.791 −1.84041
\(466\) −147.169 + 420.585i −0.315813 + 0.902542i
\(467\) −359.036 40.4537i −0.768814 0.0866245i −0.281159 0.959661i \(-0.590719\pi\)
−0.487655 + 0.873037i \(0.662148\pi\)
\(468\) 160.926 + 128.334i 0.343858 + 0.274218i
\(469\) −7.16926 14.8871i −0.0152863 0.0317423i
\(470\) 362.259 752.238i 0.770763 1.60051i
\(471\) 62.5915 + 78.4872i 0.132891 + 0.166640i
\(472\) 160.748 101.005i 0.340569 0.213994i
\(473\) 316.556 + 72.2518i 0.669252 + 0.152752i
\(474\) 367.925 41.4552i 0.776213 0.0874582i
\(475\) −343.081 215.572i −0.722276 0.453836i
\(476\) 13.6503 + 13.6503i 0.0286772 + 0.0286772i
\(477\) 492.074 112.313i 1.03160 0.235456i
\(478\) −364.367 + 127.498i −0.762275 + 0.266732i
\(479\) 235.172 + 672.084i 0.490965 + 1.40310i 0.876945 + 0.480590i \(0.159578\pi\)
−0.385980 + 0.922507i \(0.626137\pi\)
\(480\) −353.670 1549.53i −0.736812 3.22818i
\(481\) −17.2260 + 17.2260i −0.0358129 + 0.0358129i
\(482\) −245.414 + 390.574i −0.509157 + 0.810319i
\(483\) 8.73897 + 77.5605i 0.0180931 + 0.160581i
\(484\) −68.6907 + 300.953i −0.141923 + 0.621805i
\(485\) 424.762 + 676.005i 0.875798 + 1.39382i
\(486\) 735.288 586.373i 1.51294 1.20653i
\(487\) 496.206 + 238.960i 1.01890 + 0.490678i 0.867312 0.497765i \(-0.165846\pi\)
0.151592 + 0.988443i \(0.451560\pi\)
\(488\) −19.3748 + 9.33039i −0.0397024 + 0.0191197i
\(489\) 44.9622 56.3808i 0.0919472 0.115298i
\(490\) −102.086 + 906.035i −0.208338 + 1.84905i
\(491\) −424.177 148.426i −0.863905 0.302293i −0.138288 0.990392i \(-0.544160\pi\)
−0.725617 + 0.688099i \(0.758446\pi\)
\(492\) 895.818i 1.82077i
\(493\) 204.477 + 90.1514i 0.414760 + 0.182863i
\(494\) 136.932 0.277190
\(495\) −244.332 + 698.261i −0.493600 + 1.41063i
\(496\) −409.650 46.1565i −0.825907 0.0930574i
\(497\) −55.3404 44.1325i −0.111349 0.0887978i
\(498\) 833.586 + 1730.96i 1.67387 + 3.47582i
\(499\) −6.72938 + 13.9737i −0.0134857 + 0.0280034i −0.907603 0.419830i \(-0.862090\pi\)
0.894117 + 0.447833i \(0.147804\pi\)
\(500\) −11.8860 14.9046i −0.0237721 0.0298093i
\(501\) −724.647 + 455.326i −1.44640 + 0.908834i
\(502\) 559.586 + 127.722i 1.11471 + 0.254426i
\(503\) −459.178 + 51.7370i −0.912880 + 0.102857i −0.555894 0.831253i \(-0.687624\pi\)
−0.356986 + 0.934110i \(0.616195\pi\)
\(504\) 29.0031 + 18.2238i 0.0575458 + 0.0361584i
\(505\) 609.450 + 609.450i 1.20683 + 1.20683i
\(506\) −240.614 + 54.9186i −0.475522 + 0.108535i
\(507\) 826.487 289.200i 1.63015 0.570415i
\(508\) −80.0317 228.718i −0.157543 0.450231i
\(509\) −90.8734 398.142i −0.178533 0.782205i −0.982308 0.187271i \(-0.940036\pi\)
0.803775 0.594933i \(-0.202822\pi\)
\(510\) 562.607 562.607i 1.10315 1.10315i
\(511\) 3.25538 5.18090i 0.00637060 0.0101387i
\(512\) −68.3674 606.777i −0.133530 1.18511i
\(513\) 246.206 1078.70i 0.479933 2.10272i
\(514\) −696.907 1109.12i −1.35585 2.15782i
\(515\) 974.011 776.748i 1.89128 1.50825i
\(516\) 1029.52 + 495.788i 1.99518 + 0.960830i
\(517\) −200.274 + 96.4471i −0.387378 + 0.186551i
\(518\) 10.4499 13.1038i 0.0201736 0.0252969i
\(519\) −89.7717 + 796.746i −0.172971 + 1.53516i
\(520\) 42.0883 + 14.7273i 0.0809391 + 0.0283218i
\(521\) 114.954i 0.220642i −0.993896 0.110321i \(-0.964812\pi\)
0.993896 0.110321i \(-0.0351879\pi\)
\(522\) −1609.51 310.963i −3.08336 0.595714i
\(523\) 463.751 0.886713 0.443357 0.896345i \(-0.353788\pi\)
0.443357 + 0.896345i \(0.353788\pi\)
\(524\) −39.2843 + 112.268i −0.0749701 + 0.214252i
\(525\) −102.321 11.5288i −0.194897 0.0219596i
\(526\) −425.839 339.595i −0.809579 0.645618i
\(527\) −74.4649 154.628i −0.141300 0.293412i
\(528\) −220.769 + 458.432i −0.418123 + 0.868242i
\(529\) −120.788 151.463i −0.228332 0.286319i
\(530\) −382.758 + 240.503i −0.722185 + 0.453779i
\(531\) −1859.75 424.476i −3.50235 0.799390i
\(532\) −41.7576 + 4.70495i −0.0784917 + 0.00884389i
\(533\) 130.538 + 82.0226i 0.244912 + 0.153888i
\(534\) 1077.62 + 1077.62i 2.01801 + 2.01801i
\(535\) 258.188 58.9297i 0.482594 0.110149i
\(536\) −41.9796 + 14.6893i −0.0783202 + 0.0274054i
\(537\) −52.4720 149.956i −0.0977133 0.279249i
\(538\) 143.901 + 630.470i 0.267473 + 1.17188i
\(539\) 171.648 171.648i 0.318457 0.318457i
\(540\) −792.498 + 1261.25i −1.46759 + 2.33565i
\(541\) −1.68739 14.9760i −0.00311903 0.0276821i 0.992056 0.125795i \(-0.0401481\pi\)
−0.995175 + 0.0981126i \(0.968719\pi\)
\(542\) 158.360 693.820i 0.292177 1.28011i
\(543\) −367.160 584.332i −0.676169 1.07612i
\(544\) 249.202 198.732i 0.458091 0.365315i
\(545\) −622.425 299.744i −1.14206 0.549989i
\(546\) 31.3518 15.0982i 0.0574208 0.0276524i
\(547\) −167.890 + 210.527i −0.306929 + 0.384877i −0.911243 0.411870i \(-0.864876\pi\)
0.604314 + 0.796746i \(0.293447\pi\)
\(548\) −42.2484 + 374.965i −0.0770957 + 0.684243i
\(549\) 203.949 + 71.3649i 0.371492 + 0.129991i
\(550\) 325.590i 0.591982i
\(551\) −430.943 + 225.641i −0.782112 + 0.409512i
\(552\) 210.087 0.380592
\(553\) 6.45842 18.4571i 0.0116789 0.0333763i
\(554\) −31.3359 3.53070i −0.0565629 0.00637311i
\(555\) −240.905 192.115i −0.434062 0.346153i
\(556\) −98.8477 205.259i −0.177784 0.369171i
\(557\) 200.890 417.152i 0.360664 0.748926i −0.639133 0.769096i \(-0.720707\pi\)
0.999797 + 0.0201706i \(0.00642093\pi\)
\(558\) 784.955 + 984.302i 1.40673 + 1.76398i
\(559\) −166.510 + 104.625i −0.297872 + 0.187165i
\(560\) −98.4042 22.4601i −0.175722 0.0401073i
\(561\) −210.500 + 23.7176i −0.375222 + 0.0422774i
\(562\) −541.291 340.116i −0.963151 0.605188i
\(563\) −459.608 459.608i −0.816356 0.816356i 0.169222 0.985578i \(-0.445875\pi\)
−0.985578 + 0.169222i \(0.945875\pi\)
\(564\) −762.664 + 174.073i −1.35224 + 0.308640i
\(565\) 772.320 270.246i 1.36694 0.478312i
\(566\) 164.385 + 469.784i 0.290432 + 0.830007i
\(567\) −29.8003 130.564i −0.0525579 0.230271i
\(568\) −134.720 + 134.720i −0.237184 + 0.237184i
\(569\) −328.681 + 523.093i −0.577647 + 0.919320i 0.422270 + 0.906470i \(0.361233\pi\)
−0.999917 + 0.0128502i \(0.995910\pi\)
\(570\) 193.917 + 1721.06i 0.340206 + 3.01941i
\(571\) −86.4483 + 378.755i −0.151398 + 0.663319i 0.841081 + 0.540908i \(0.181919\pi\)
−0.992480 + 0.122410i \(0.960938\pi\)
\(572\) 26.1123 + 41.5575i 0.0456509 + 0.0726530i
\(573\) −241.840 + 192.861i −0.422059 + 0.336581i
\(574\) −95.5628 46.0206i −0.166486 0.0801753i
\(575\) −398.501 + 191.908i −0.693046 + 0.333753i
\(576\) −486.775 + 610.397i −0.845096 + 1.05972i
\(577\) 19.8441 176.121i 0.0343918 0.305236i −0.964727 0.263254i \(-0.915204\pi\)
0.999118 0.0419817i \(-0.0133671\pi\)
\(578\) −582.406 203.793i −1.00762 0.352582i
\(579\) 963.332i 1.66379i
\(580\) 647.941 95.1105i 1.11714 0.163984i
\(581\) 101.467 0.174642
\(582\) 553.882 1582.90i 0.951687 2.71976i
\(583\) 119.595 + 13.4751i 0.205137 + 0.0231134i
\(584\) −12.8764 10.2686i −0.0220487 0.0175832i
\(585\) −194.399 403.674i −0.332306 0.690040i
\(586\) 237.890 493.984i 0.405956 0.842977i
\(587\) −57.3433 71.9062i −0.0976887 0.122498i 0.730584 0.682822i \(-0.239248\pi\)
−0.828273 + 0.560325i \(0.810676\pi\)
\(588\) 723.338 454.504i 1.23017 0.772965i
\(589\) 364.222 + 83.1314i 0.618374 + 0.141140i
\(590\) 1697.73 191.288i 2.87750 0.324217i
\(591\) 1680.38 + 1055.85i 2.84327 + 1.78655i
\(592\) −104.955 104.955i −0.177288 0.177288i
\(593\) −209.311 + 47.7738i −0.352969 + 0.0805629i −0.395329 0.918539i \(-0.629370\pi\)
0.0423600 + 0.999102i \(0.486512\pi\)
\(594\) 839.193 293.646i 1.41278 0.494354i
\(595\) −13.8787 39.6630i −0.0233255 0.0666605i
\(596\) 161.179 + 706.172i 0.270435 + 1.18485i
\(597\) −620.990 + 620.990i −1.04018 + 1.04018i
\(598\) 79.5256 126.564i 0.132986 0.211646i
\(599\) −47.0694 417.753i −0.0785800 0.697417i −0.969809 0.243864i \(-0.921585\pi\)
0.891229 0.453553i \(-0.149844\pi\)
\(600\) −61.6727 + 270.206i −0.102788 + 0.450343i
\(601\) 614.194 + 977.484i 1.02195 + 1.62643i 0.746824 + 0.665021i \(0.231578\pi\)
0.275128 + 0.961407i \(0.411280\pi\)
\(602\) 105.778 84.3552i 0.175711 0.140125i
\(603\) 402.631 + 193.897i 0.667714 + 0.321554i
\(604\) 460.566 221.797i 0.762527 0.367214i
\(605\) 418.952 525.349i 0.692483 0.868346i
\(606\) 202.704 1799.04i 0.334494 2.96872i
\(607\) 364.531 + 127.555i 0.600545 + 0.210140i 0.613393 0.789778i \(-0.289804\pi\)
−0.0128484 + 0.999917i \(0.504090\pi\)
\(608\) 693.831i 1.14117i
\(609\) −73.7890 + 99.1788i −0.121164 + 0.162855i
\(610\) −193.521 −0.317248
\(611\) 44.4649 127.074i 0.0727740 0.207976i
\(612\) −518.819 58.4569i −0.847744 0.0955178i
\(613\) 407.116 + 324.664i 0.664138 + 0.529632i 0.896526 0.442991i \(-0.146083\pi\)
−0.232389 + 0.972623i \(0.574654\pi\)
\(614\) −606.586 1259.59i −0.987925 2.05145i
\(615\) −846.060 + 1756.86i −1.37571 + 2.85669i
\(616\) 5.09244 + 6.38572i 0.00826696 + 0.0103664i
\(617\) 91.2133 57.3131i 0.147834 0.0928900i −0.456084 0.889937i \(-0.650748\pi\)
0.603918 + 0.797047i \(0.293606\pi\)
\(618\) −2551.24 582.304i −4.12822 0.942239i
\(619\) 338.300 38.1172i 0.546526 0.0615787i 0.165615 0.986190i \(-0.447039\pi\)
0.380911 + 0.924612i \(0.375610\pi\)
\(620\) −425.862 267.587i −0.686875 0.431592i
\(621\) −854.038 854.038i −1.37526 1.37526i
\(622\) −449.160 + 102.518i −0.722123 + 0.164820i
\(623\) 75.9704 26.5832i 0.121943 0.0426696i
\(624\) −101.781 290.873i −0.163111 0.466143i
\(625\) 143.613 + 629.211i 0.229781 + 1.00674i
\(626\) −749.385 + 749.385i −1.19710 + 1.19710i
\(627\) 245.326 390.435i 0.391270 0.622703i
\(628\) 6.60581 + 58.6282i 0.0105188 + 0.0933569i
\(629\) 13.7503 60.2442i 0.0218606 0.0957777i
\(630\) 163.999 + 261.003i 0.260316 + 0.414291i
\(631\) 504.548 402.364i 0.799601 0.637660i −0.136005 0.990708i \(-0.543426\pi\)
0.935605 + 0.353048i \(0.114855\pi\)
\(632\) −47.4214 22.8369i −0.0750338 0.0361344i
\(633\) 53.1750 25.6077i 0.0840047 0.0404545i
\(634\) 828.532 1038.95i 1.30683 1.63872i
\(635\) −59.0568 + 524.143i −0.0930028 + 0.825423i
\(636\) 399.775 + 139.887i 0.628578 + 0.219949i
\(637\) 147.020i 0.230800i
\(638\) −337.760 196.744i −0.529405 0.308377i
\(639\) 1914.37 2.99588
\(640\) −152.189 + 434.931i −0.237795 + 0.679579i
\(641\) 358.868 + 40.4347i 0.559856 + 0.0630806i 0.387358 0.921929i \(-0.373388\pi\)
0.172498 + 0.985010i \(0.444816\pi\)
\(642\) −434.915 346.833i −0.677438 0.540239i
\(643\) 118.541 + 246.153i 0.184356 + 0.382820i 0.972580 0.232569i \(-0.0747132\pi\)
−0.788223 + 0.615389i \(0.788999\pi\)
\(644\) −19.9027 + 41.3285i −0.0309049 + 0.0641747i
\(645\) −1550.82 1944.66i −2.40437 3.01498i
\(646\) −294.096 + 184.793i −0.455257 + 0.286057i
\(647\) 411.805 + 93.9917i 0.636483 + 0.145273i 0.528573 0.848888i \(-0.322727\pi\)
0.107910 + 0.994161i \(0.465584\pi\)
\(648\) −358.203 + 40.3598i −0.552783 + 0.0622837i
\(649\) −385.140 242.000i −0.593437 0.372881i
\(650\) 139.437 + 139.437i 0.214518 + 0.214518i
\(651\) 92.5581 21.1258i 0.142178 0.0324513i
\(652\) 40.0033 13.9978i 0.0613548 0.0214690i
\(653\) −326.814 933.982i −0.500481 1.43029i −0.866261 0.499592i \(-0.833483\pi\)
0.365780 0.930701i \(-0.380802\pi\)
\(654\) 322.906 + 1414.74i 0.493740 + 2.16322i
\(655\) 183.076 183.076i 0.279505 0.279505i
\(656\) −499.747 + 795.343i −0.761810 + 1.21241i
\(657\) 18.5285 + 164.445i 0.0282017 + 0.250297i
\(658\) −20.6106 + 90.3010i −0.0313231 + 0.137236i
\(659\) 557.884 + 887.867i 0.846561 + 1.34729i 0.936253 + 0.351325i \(0.114269\pi\)
−0.0896921 + 0.995970i \(0.528588\pi\)
\(660\) −485.348 + 387.052i −0.735375 + 0.586442i
\(661\) −497.047 239.365i −0.751963 0.362126i 0.0183172 0.999832i \(-0.494169\pi\)
−0.770280 + 0.637706i \(0.779883\pi\)
\(662\) 1313.68 632.633i 1.98441 0.955640i
\(663\) 79.9910 100.305i 0.120650 0.151290i
\(664\) 30.5790 271.396i 0.0460527 0.408729i
\(665\) 86.3378 + 30.2109i 0.129831 + 0.0454299i
\(666\) 453.294i 0.680621i
\(667\) −41.7211 + 529.361i −0.0625504 + 0.793644i
\(668\) −502.973 −0.752953
\(669\) −476.090 + 1360.59i −0.711644 + 2.03376i
\(670\) −397.725 44.8129i −0.593620 0.0668849i
\(671\) 40.2821 + 32.1239i 0.0600329 + 0.0478747i
\(672\) 76.5024 + 158.859i 0.113843 + 0.236397i
\(673\) −449.670 + 933.749i −0.668157 + 1.38744i 0.240809 + 0.970573i \(0.422587\pi\)
−0.908966 + 0.416870i \(0.863127\pi\)
\(674\) −234.185 293.658i −0.347455 0.435695i
\(675\) 1349.14 847.721i 1.99873 1.25588i
\(676\) 501.707 + 114.511i 0.742170 + 0.169395i
\(677\) 652.083 73.4721i 0.963194 0.108526i 0.383661 0.923474i \(-0.374663\pi\)
0.579534 + 0.814948i \(0.303235\pi\)
\(678\) −1455.29 914.418i −2.14644 1.34870i
\(679\) −62.6278 62.6278i −0.0922354 0.0922354i
\(680\) −110.270 + 25.1685i −0.162162 + 0.0370125i
\(681\) −371.689 + 130.060i −0.545799 + 0.190983i
\(682\) 99.1497 + 283.354i 0.145381 + 0.415474i
\(683\) 40.2460 + 176.329i 0.0589254 + 0.258169i 0.995807 0.0914774i \(-0.0291589\pi\)
−0.936882 + 0.349646i \(0.886302\pi\)
\(684\) 803.630 803.630i 1.17490 1.17490i
\(685\) 436.995 695.473i 0.637949 1.01529i
\(686\) −22.7916 202.281i −0.0332239 0.294871i
\(687\) −49.9579 + 218.880i −0.0727189 + 0.318602i
\(688\) −637.461 1014.51i −0.926542 1.47458i
\(689\) −56.9884 + 45.4468i −0.0827118 + 0.0659605i
\(690\) 1703.38 + 820.304i 2.46867 + 1.18885i
\(691\) −253.198 + 121.934i −0.366423 + 0.176460i −0.608030 0.793914i \(-0.708040\pi\)
0.241607 + 0.970374i \(0.422326\pi\)
\(692\) −293.798 + 368.411i −0.424563 + 0.532385i
\(693\) 9.18871 81.5521i 0.0132593 0.117680i
\(694\) 563.251 + 197.090i 0.811601 + 0.283991i
\(695\) 495.908i 0.713537i
\(696\) 243.039 + 227.255i 0.349193 + 0.326516i
\(697\) −391.056 −0.561055
\(698\) −450.517 + 1287.50i −0.645440 + 1.84456i
\(699\) −903.065 101.751i −1.29194 0.145567i
\(700\) −47.3125 37.7305i −0.0675893 0.0539007i
\(701\) 40.0238 + 83.1103i 0.0570953 + 0.118560i 0.927564 0.373664i \(-0.121899\pi\)
−0.870469 + 0.492223i \(0.836184\pi\)
\(702\) −233.635 + 485.148i −0.332813 + 0.691094i
\(703\) 83.8664 + 105.165i 0.119298 + 0.149595i
\(704\) −157.629 + 99.0449i −0.223905 + 0.140689i
\(705\) 1660.13 + 378.913i 2.35479 + 0.537466i
\(706\) −175.030 + 19.7211i −0.247917 + 0.0279336i
\(707\) −80.9599 50.8705i −0.114512 0.0719526i
\(708\) −1131.90 1131.90i −1.59873 1.59873i
\(709\) −109.195 + 24.9231i −0.154013 + 0.0351524i −0.298832 0.954306i \(-0.596597\pi\)
0.144819 + 0.989458i \(0.453740\pi\)
\(710\) −1618.34 + 566.280i −2.27935 + 0.797578i
\(711\) 174.672 + 499.183i 0.245671 + 0.702086i
\(712\) −48.2077 211.212i −0.0677074 0.296645i
\(713\) 288.366 288.366i 0.404440 0.404440i
\(714\) −46.9605 + 74.7372i −0.0657710 + 0.104674i
\(715\) −11.9618 106.164i −0.0167298 0.148481i
\(716\) 20.7767 91.0289i 0.0290178 0.127135i
\(717\) −418.873 666.633i −0.584202 0.929753i
\(718\) −402.909 + 321.310i −0.561155 + 0.447506i
\(719\) −980.629 472.246i −1.36388 0.656809i −0.398381 0.917220i \(-0.630428\pi\)
−0.965498 + 0.260411i \(0.916142\pi\)
\(720\) 2459.50 1184.43i 3.41598 1.64505i
\(721\) −86.1697 + 108.053i −0.119514 + 0.149866i
\(722\) −23.9603 + 212.653i −0.0331860 + 0.294534i
\(723\) −887.979 310.717i −1.22819 0.429761i
\(724\) 405.580i 0.560194i
\(725\) −668.596 209.058i −0.922201 0.288356i
\(726\) −1411.44 −1.94414
\(727\) 35.0878 100.275i 0.0482639 0.137930i −0.917229 0.398361i \(-0.869579\pi\)
0.965492 + 0.260431i \(0.0838647\pi\)
\(728\) −4.91562 0.553858i −0.00675223 0.000760793i
\(729\) 288.063 + 229.723i 0.395149 + 0.315121i
\(730\) −64.3070 133.535i −0.0880918 0.182924i
\(731\) 216.429 449.419i 0.296072 0.614801i
\(732\) 113.051 + 141.761i 0.154441 + 0.193663i
\(733\) 404.936 254.438i 0.552437 0.347119i −0.226708 0.973963i \(-0.572796\pi\)
0.779145 + 0.626843i \(0.215653\pi\)
\(734\) 1570.64 + 358.488i 2.13984 + 0.488404i
\(735\) −1847.86 + 208.203i −2.51409 + 0.283270i
\(736\) 641.299 + 402.955i 0.871330 + 0.547493i
\(737\) 75.3491 + 75.3491i 0.102238 + 0.102238i
\(738\) 2796.71 638.332i 3.78959 0.864948i
\(739\) −415.581 + 145.418i −0.562356 + 0.196777i −0.596462 0.802641i \(-0.703427\pi\)
0.0341061 + 0.999418i \(0.489142\pi\)
\(740\) −59.8099 170.927i −0.0808241 0.230982i
\(741\) 62.1439 + 272.270i 0.0838649 + 0.367436i
\(742\) 35.4603 35.4603i 0.0477901 0.0477901i
\(743\) 93.8029 149.287i 0.126249 0.200924i −0.777619 0.628736i \(-0.783573\pi\)
0.903868 + 0.427812i \(0.140715\pi\)
\(744\) −28.6116 253.935i −0.0384564 0.341310i
\(745\) 350.847 1537.16i 0.470935 2.06330i
\(746\) −471.146 749.825i −0.631564 1.00513i
\(747\) −2145.52 + 1711.00i −2.87219 + 2.29049i
\(748\) −112.166 54.0162i −0.149954 0.0722141i
\(749\) −26.4696 + 12.7471i −0.0353399 + 0.0170188i
\(750\) 54.3468 68.1487i 0.0724624 0.0908650i
\(751\) 138.357 1227.96i 0.184231 1.63509i −0.472757 0.881193i \(-0.656741\pi\)
0.656988 0.753901i \(-0.271830\pi\)
\(752\) 774.234 + 270.916i 1.02957 + 0.360261i
\(753\) 1170.63i 1.55462i
\(754\) 228.906 60.3912i 0.303589 0.0800944i
\(755\) −1112.73 −1.47382
\(756\) 54.5778 155.974i 0.0721928 0.206315i
\(757\) 102.884 + 11.5922i 0.135910 + 0.0153134i 0.179657 0.983729i \(-0.442501\pi\)
−0.0437475 + 0.999043i \(0.513930\pi\)
\(758\) 1581.27 + 1261.02i 2.08611 + 1.66362i
\(759\) −218.396 453.504i −0.287742 0.597502i
\(760\) 106.826 221.826i 0.140560 0.291876i
\(761\) 90.7161 + 113.754i 0.119206 + 0.149480i 0.837854 0.545894i \(-0.183810\pi\)
−0.718648 + 0.695374i \(0.755239\pi\)
\(762\) 938.123 589.462i 1.23113 0.773572i
\(763\) 74.7178 + 17.0539i 0.0979264 + 0.0223511i
\(764\) −180.649 + 20.3542i −0.236451 + 0.0266417i
\(765\) 962.289 + 604.646i 1.25789 + 0.790387i
\(766\) 249.061 + 249.061i 0.325145 + 0.325145i
\(767\) 268.578 61.3012i 0.350167 0.0799233i
\(768\) 1681.54 588.397i 2.18951 0.766143i
\(769\) −210.167 600.623i −0.273299 0.781044i −0.995956 0.0898378i \(-0.971365\pi\)
0.722657 0.691207i \(-0.242921\pi\)
\(770\) 16.3557 + 71.6592i 0.0212412 + 0.0930638i
\(771\) 1889.06 1889.06i 2.45014 2.45014i