Properties

Label 27.4.e.a.22.1
Level 27
Weight 4
Character 27.22
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 22.1
Character \(\chi\) = 27.22
Dual form 27.4.e.a.16.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.58593 + 3.00895i) q^{2} +(-2.57206 - 4.51492i) q^{3} +(2.41590 - 13.7013i) q^{4} +(2.94522 - 1.07197i) q^{5} +(22.8084 + 8.45097i) q^{6} +(-5.29680 - 30.0397i) q^{7} +(13.8388 + 23.9695i) q^{8} +(-13.7690 + 23.2253i) q^{9} +O(q^{10})\) \(q+(-3.58593 + 3.00895i) q^{2} +(-2.57206 - 4.51492i) q^{3} +(2.41590 - 13.7013i) q^{4} +(2.94522 - 1.07197i) q^{5} +(22.8084 + 8.45097i) q^{6} +(-5.29680 - 30.0397i) q^{7} +(13.8388 + 23.9695i) q^{8} +(-13.7690 + 23.2253i) q^{9} +(-7.33583 + 12.7060i) q^{10} +(-49.0358 - 17.8476i) q^{11} +(-68.0740 + 24.3329i) q^{12} +(11.6707 + 9.79286i) q^{13} +(109.382 + 91.7822i) q^{14} +(-12.4152 - 10.5403i) q^{15} +(-17.1590 - 6.24538i) q^{16} +(35.3229 - 61.1810i) q^{17} +(-20.5091 - 124.714i) q^{18} +(32.0937 + 55.5879i) q^{19} +(-7.57202 - 42.9431i) q^{20} +(-122.003 + 101.178i) q^{21} +(229.541 - 83.5461i) q^{22} +(9.07464 - 51.4649i) q^{23} +(72.6261 - 124.132i) q^{24} +(-88.2303 + 74.0341i) q^{25} -71.3164 q^{26} +(140.275 + 2.42909i) q^{27} -424.378 q^{28} +(20.2760 - 17.0136i) q^{29} +(76.2350 + 0.440005i) q^{30} +(18.8621 - 106.972i) q^{31} +(-127.744 + 46.4951i) q^{32} +(45.5427 + 267.298i) q^{33} +(57.4254 + 325.675i) q^{34} +(-47.8020 - 82.7954i) q^{35} +(284.951 + 244.763i) q^{36} +(175.269 - 303.574i) q^{37} +(-282.346 - 102.766i) q^{38} +(14.1963 - 77.8800i) q^{39} +(66.4530 + 55.7607i) q^{40} +(147.723 + 123.955i) q^{41} +(133.053 - 729.919i) q^{42} +(132.385 + 48.1843i) q^{43} +(-363.000 + 628.734i) q^{44} +(-15.6559 + 83.1637i) q^{45} +(122.314 + 211.854i) q^{46} +(-20.0049 - 113.454i) q^{47} +(15.9367 + 93.5352i) q^{48} +(-552.010 + 200.915i) q^{49} +(93.6228 - 530.961i) q^{50} +(-367.080 - 2.11867i) q^{51} +(162.370 - 136.245i) q^{52} -3.24190 q^{53} +(-510.325 + 413.370i) q^{54} -163.553 q^{55} +(646.734 - 542.674i) q^{56} +(168.428 - 287.876i) q^{57} +(-21.5153 + 122.019i) q^{58} +(725.956 - 264.226i) q^{59} +(-174.409 + 144.639i) q^{60} +(32.0329 + 181.668i) q^{61} +(254.236 + 440.349i) q^{62} +(770.612 + 290.596i) q^{63} +(391.221 - 677.615i) q^{64} +(44.8704 + 16.3315i) q^{65} +(-967.597 - 821.474i) q^{66} +(-349.715 - 293.446i) q^{67} +(-752.921 - 631.776i) q^{68} +(-255.700 + 91.3995i) q^{69} +(420.541 + 153.065i) q^{70} +(88.2401 - 152.836i) q^{71} +(-747.245 - 8.62602i) q^{72} +(23.6217 + 40.9140i) q^{73} +(284.939 + 1615.97i) q^{74} +(561.192 + 207.933i) q^{75} +(839.159 - 305.429i) q^{76} +(-276.402 + 1567.55i) q^{77} +(183.430 + 321.988i) q^{78} +(-240.365 + 201.690i) q^{79} -57.2321 q^{80} +(-349.829 - 639.579i) q^{81} -902.697 q^{82} +(-36.6934 + 30.7894i) q^{83} +(1091.53 + 1916.03i) q^{84} +(38.4493 - 218.057i) q^{85} +(-619.708 + 225.555i) q^{86} +(-128.966 - 47.7846i) q^{87} +(-250.799 - 1422.35i) q^{88} +(-306.581 - 531.013i) q^{89} +(-194.094 - 345.326i) q^{90} +(232.357 - 402.454i) q^{91} +(-683.210 - 248.668i) q^{92} +(-531.485 + 189.978i) q^{93} +(413.112 + 346.642i) q^{94} +(154.112 + 129.315i) q^{95} +(538.488 + 457.167i) q^{96} +(-1046.19 - 380.782i) q^{97} +(1374.92 - 2381.44i) q^{98} +(1089.69 - 893.127i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.58593 + 3.00895i −1.26782 + 1.06382i −0.273013 + 0.962010i \(0.588020\pi\)
−0.994804 + 0.101813i \(0.967536\pi\)
\(3\) −2.57206 4.51492i −0.494993 0.868897i
\(4\) 2.41590 13.7013i 0.301988 1.71266i
\(5\) 2.94522 1.07197i 0.263429 0.0958802i −0.206929 0.978356i \(-0.566347\pi\)
0.470358 + 0.882476i \(0.344125\pi\)
\(6\) 22.8084 + 8.45097i 1.55191 + 0.575016i
\(7\) −5.29680 30.0397i −0.286000 1.62199i −0.701690 0.712482i \(-0.747571\pi\)
0.415690 0.909507i \(-0.363540\pi\)
\(8\) 13.8388 + 23.9695i 0.611594 + 1.05931i
\(9\) −13.7690 + 23.2253i −0.509963 + 0.860196i
\(10\) −7.33583 + 12.7060i −0.231979 + 0.401800i
\(11\) −49.0358 17.8476i −1.34408 0.489204i −0.432982 0.901402i \(-0.642539\pi\)
−0.911094 + 0.412199i \(0.864761\pi\)
\(12\) −68.0740 + 24.3329i −1.63761 + 0.585358i
\(13\) 11.6707 + 9.79286i 0.248990 + 0.208927i 0.758737 0.651397i \(-0.225817\pi\)
−0.509748 + 0.860324i \(0.670261\pi\)
\(14\) 109.382 + 91.7822i 2.08811 + 1.75213i
\(15\) −12.4152 10.5403i −0.213705 0.181432i
\(16\) −17.1590 6.24538i −0.268110 0.0975840i
\(17\) 35.3229 61.1810i 0.503945 0.872858i −0.496045 0.868297i \(-0.665215\pi\)
0.999990 0.00456086i \(-0.00145177\pi\)
\(18\) −20.5091 124.714i −0.268558 1.63308i
\(19\) 32.0937 + 55.5879i 0.387515 + 0.671196i 0.992115 0.125333i \(-0.0400001\pi\)
−0.604599 + 0.796530i \(0.706667\pi\)
\(20\) −7.57202 42.9431i −0.0846578 0.480118i
\(21\) −122.003 + 101.178i −1.26777 + 1.05138i
\(22\) 229.541 83.5461i 2.22447 0.809640i
\(23\) 9.07464 51.4649i 0.0822693 0.466572i −0.915643 0.401992i \(-0.868318\pi\)
0.997913 0.0645805i \(-0.0205709\pi\)
\(24\) 72.6261 124.132i 0.617698 1.05576i
\(25\) −88.2303 + 74.0341i −0.705843 + 0.592272i
\(26\) −71.3164 −0.537935
\(27\) 140.275 + 2.42909i 0.999850 + 0.0173140i
\(28\) −424.378 −2.86428
\(29\) 20.2760 17.0136i 0.129833 0.108943i −0.575559 0.817760i \(-0.695215\pi\)
0.705392 + 0.708817i \(0.250771\pi\)
\(30\) 76.2350 + 0.440005i 0.463951 + 0.00267778i
\(31\) 18.8621 106.972i 0.109282 0.619766i −0.880142 0.474711i \(-0.842553\pi\)
0.989423 0.145056i \(-0.0463362\pi\)
\(32\) −127.744 + 46.4951i −0.705694 + 0.256852i
\(33\) 45.5427 + 267.298i 0.240241 + 1.41002i
\(34\) 57.4254 + 325.675i 0.289658 + 1.64273i
\(35\) −47.8020 82.7954i −0.230857 0.399857i
\(36\) 284.951 + 244.763i 1.31922 + 1.13316i
\(37\) 175.269 303.574i 0.778756 1.34885i −0.153903 0.988086i \(-0.549184\pi\)
0.932659 0.360760i \(-0.117482\pi\)
\(38\) −282.346 102.766i −1.20533 0.438705i
\(39\) 14.1963 77.8800i 0.0582879 0.319764i
\(40\) 66.4530 + 55.7607i 0.262678 + 0.220413i
\(41\) 147.723 + 123.955i 0.562695 + 0.472157i 0.879213 0.476429i \(-0.158069\pi\)
−0.316518 + 0.948587i \(0.602514\pi\)
\(42\) 133.053 729.919i 0.488821 2.68164i
\(43\) 132.385 + 48.1843i 0.469501 + 0.170885i 0.565926 0.824456i \(-0.308519\pi\)
−0.0964251 + 0.995340i \(0.530741\pi\)
\(44\) −363.000 + 628.734i −1.24373 + 2.15421i
\(45\) −15.6559 + 83.1637i −0.0518632 + 0.275496i
\(46\) 122.314 + 211.854i 0.392049 + 0.679048i
\(47\) −20.0049 113.454i −0.0620855 0.352104i −0.999986 0.00520123i \(-0.998344\pi\)
0.937901 0.346903i \(-0.112767\pi\)
\(48\) 15.9367 + 93.5352i 0.0479222 + 0.281263i
\(49\) −552.010 + 200.915i −1.60936 + 0.585759i
\(50\) 93.6228 530.961i 0.264805 1.50178i
\(51\) −367.080 2.11867i −1.00787 0.00581713i
\(52\) 162.370 136.245i 0.433013 0.363341i
\(53\) −3.24190 −0.00840206 −0.00420103 0.999991i \(-0.501337\pi\)
−0.00420103 + 0.999991i \(0.501337\pi\)
\(54\) −510.325 + 413.370i −1.28605 + 1.04171i
\(55\) −163.553 −0.400973
\(56\) 646.734 542.674i 1.54328 1.29496i
\(57\) 168.428 287.876i 0.391383 0.668949i
\(58\) −21.5153 + 122.019i −0.0487085 + 0.276239i
\(59\) 725.956 264.226i 1.60189 0.583039i 0.622075 0.782958i \(-0.286290\pi\)
0.979813 + 0.199918i \(0.0640677\pi\)
\(60\) −174.409 + 144.639i −0.375268 + 0.311214i
\(61\) 32.0329 + 181.668i 0.0672360 + 0.381314i 0.999794 + 0.0202943i \(0.00646030\pi\)
−0.932558 + 0.361020i \(0.882429\pi\)
\(62\) 254.236 + 440.349i 0.520773 + 0.902006i
\(63\) 770.612 + 290.596i 1.54108 + 0.581138i
\(64\) 391.221 677.615i 0.764104 1.32347i
\(65\) 44.8704 + 16.3315i 0.0856230 + 0.0311642i
\(66\) −967.597 821.474i −1.80459 1.53207i
\(67\) −349.715 293.446i −0.637679 0.535076i 0.265625 0.964076i \(-0.414422\pi\)
−0.903304 + 0.429000i \(0.858866\pi\)
\(68\) −752.921 631.776i −1.34272 1.12668i
\(69\) −255.700 + 91.3995i −0.446126 + 0.159467i
\(70\) 420.541 + 153.065i 0.718062 + 0.261353i
\(71\) 88.2401 152.836i 0.147495 0.255469i −0.782806 0.622266i \(-0.786212\pi\)
0.930301 + 0.366797i \(0.119546\pi\)
\(72\) −747.245 8.62602i −1.22311 0.0141193i
\(73\) 23.6217 + 40.9140i 0.0378728 + 0.0655976i 0.884340 0.466843i \(-0.154609\pi\)
−0.846468 + 0.532440i \(0.821275\pi\)
\(74\) 284.939 + 1615.97i 0.447614 + 2.53855i
\(75\) 561.192 + 207.933i 0.864011 + 0.320134i
\(76\) 839.159 305.429i 1.26655 0.460988i
\(77\) −276.402 + 1567.55i −0.409077 + 2.31999i
\(78\) 183.430 + 321.988i 0.266274 + 0.467410i
\(79\) −240.365 + 201.690i −0.342319 + 0.287240i −0.797697 0.603058i \(-0.793949\pi\)
0.455378 + 0.890298i \(0.349504\pi\)
\(80\) −57.2321 −0.0799842
\(81\) −349.829 639.579i −0.479875 0.877337i
\(82\) −902.697 −1.21569
\(83\) −36.6934 + 30.7894i −0.0485256 + 0.0407178i −0.666728 0.745301i \(-0.732306\pi\)
0.618202 + 0.786019i \(0.287861\pi\)
\(84\) 1091.53 + 1916.03i 1.41780 + 2.48877i
\(85\) 38.4493 218.057i 0.0490637 0.278254i
\(86\) −619.708 + 225.555i −0.777032 + 0.282817i
\(87\) −128.966 47.7846i −0.158927 0.0588856i
\(88\) −250.799 1422.35i −0.303810 1.72299i
\(89\) −306.581 531.013i −0.365140 0.632441i 0.623658 0.781697i \(-0.285646\pi\)
−0.988799 + 0.149256i \(0.952312\pi\)
\(90\) −194.094 345.326i −0.227326 0.404451i
\(91\) 232.357 402.454i 0.267666 0.463612i
\(92\) −683.210 248.668i −0.774235 0.281798i
\(93\) −531.485 + 189.978i −0.592607 + 0.211826i
\(94\) 413.112 + 346.642i 0.453290 + 0.380355i
\(95\) 154.112 + 129.315i 0.166437 + 0.139657i
\(96\) 538.488 + 457.167i 0.572491 + 0.486035i
\(97\) −1046.19 380.782i −1.09510 0.398583i −0.269590 0.962975i \(-0.586888\pi\)
−0.825507 + 0.564392i \(0.809111\pi\)
\(98\) 1374.92 2381.44i 1.41723 2.45471i
\(99\) 1089.69 893.127i 1.10624 0.906693i
\(100\) 801.204 + 1387.73i 0.801204 + 1.38773i
\(101\) −23.1067 131.044i −0.0227644 0.129103i 0.971308 0.237826i \(-0.0764349\pi\)
−0.994072 + 0.108723i \(0.965324\pi\)
\(102\) 1322.70 1096.93i 1.28399 1.06482i
\(103\) −1093.03 + 397.830i −1.04562 + 0.380576i −0.807010 0.590538i \(-0.798915\pi\)
−0.238615 + 0.971114i \(0.576693\pi\)
\(104\) −73.2218 + 415.262i −0.0690384 + 0.391536i
\(105\) −250.865 + 428.777i −0.233161 + 0.398518i
\(106\) 11.6252 9.75471i 0.0106523 0.00893831i
\(107\) 61.0084 0.0551206 0.0275603 0.999620i \(-0.491226\pi\)
0.0275603 + 0.999620i \(0.491226\pi\)
\(108\) 372.173 1916.08i 0.331596 1.70717i
\(109\) 1788.84 1.57192 0.785961 0.618276i \(-0.212169\pi\)
0.785961 + 0.618276i \(0.212169\pi\)
\(110\) 586.490 492.124i 0.508360 0.426565i
\(111\) −1821.41 10.5126i −1.55749 0.00898933i
\(112\) −96.7210 + 548.532i −0.0816007 + 0.462780i
\(113\) 309.662 112.708i 0.257792 0.0938287i −0.209891 0.977725i \(-0.567311\pi\)
0.467683 + 0.883896i \(0.345089\pi\)
\(114\) 262.233 + 1539.09i 0.215442 + 1.26447i
\(115\) −28.4421 161.303i −0.0230630 0.130797i
\(116\) −184.123 318.911i −0.147374 0.255260i
\(117\) −388.136 + 136.217i −0.306694 + 0.107635i
\(118\) −1808.18 + 3131.86i −1.41065 + 2.44331i
\(119\) −2024.96 737.024i −1.55989 0.567755i
\(120\) 80.8338 443.450i 0.0614924 0.337344i
\(121\) 1066.37 + 894.787i 0.801176 + 0.672267i
\(122\) −661.497 555.062i −0.490894 0.411909i
\(123\) 179.692 985.777i 0.131726 0.722639i
\(124\) −1420.08 516.869i −1.02845 0.374324i
\(125\) −376.385 + 651.919i −0.269320 + 0.466475i
\(126\) −3637.75 + 1276.67i −2.57203 + 0.902660i
\(127\) 442.097 + 765.734i 0.308896 + 0.535023i 0.978121 0.208036i \(-0.0667072\pi\)
−0.669225 + 0.743060i \(0.733374\pi\)
\(128\) 447.169 + 2536.02i 0.308785 + 1.75121i
\(129\) −122.955 721.642i −0.0839190 0.492535i
\(130\) −210.043 + 76.4493i −0.141707 + 0.0515773i
\(131\) 288.996 1638.98i 0.192746 1.09311i −0.722847 0.691008i \(-0.757167\pi\)
0.915593 0.402106i \(-0.131722\pi\)
\(132\) 3772.34 + 21.7728i 2.48743 + 0.0143567i
\(133\) 1499.85 1258.52i 0.977843 0.820508i
\(134\) 2137.02 1.37769
\(135\) 415.745 143.217i 0.265049 0.0913048i
\(136\) 1955.30 1.23284
\(137\) −143.746 + 120.618i −0.0896429 + 0.0752194i −0.686508 0.727122i \(-0.740857\pi\)
0.596865 + 0.802342i \(0.296413\pi\)
\(138\) 641.906 1097.14i 0.395961 0.676774i
\(139\) −241.747 + 1371.02i −0.147516 + 0.836605i 0.817796 + 0.575508i \(0.195195\pi\)
−0.965312 + 0.261097i \(0.915916\pi\)
\(140\) −1249.89 + 454.922i −0.754534 + 0.274628i
\(141\) −460.780 + 382.130i −0.275210 + 0.228235i
\(142\) 143.454 + 813.570i 0.0847776 + 0.480797i
\(143\) −397.502 688.494i −0.232453 0.402621i
\(144\) 381.314 312.531i 0.220668 0.180863i
\(145\) 41.4793 71.8442i 0.0237563 0.0411472i
\(146\) −207.814 75.6380i −0.117800 0.0428757i
\(147\) 2326.92 + 1975.52i 1.30559 + 1.10842i
\(148\) −3735.92 3134.81i −2.07494 1.74108i
\(149\) 1579.49 + 1325.35i 0.868437 + 0.728705i 0.963768 0.266740i \(-0.0859465\pi\)
−0.0953311 + 0.995446i \(0.530391\pi\)
\(150\) −2638.05 + 942.965i −1.43597 + 0.513285i
\(151\) 1455.04 + 529.591i 0.784169 + 0.285414i 0.702910 0.711279i \(-0.251884\pi\)
0.0812590 + 0.996693i \(0.474106\pi\)
\(152\) −888.275 + 1538.54i −0.474004 + 0.820999i
\(153\) 934.587 + 1662.79i 0.493836 + 0.878617i
\(154\) −3725.53 6452.81i −1.94943 3.37651i
\(155\) −59.1183 335.276i −0.0306354 0.173742i
\(156\) −1032.76 382.658i −0.530044 0.196392i
\(157\) 342.298 124.586i 0.174002 0.0633316i −0.253550 0.967322i \(-0.581598\pi\)
0.427552 + 0.903991i \(0.359376\pi\)
\(158\) 255.056 1446.49i 0.128425 0.728335i
\(159\) 8.33836 + 14.6369i 0.00415896 + 0.00730052i
\(160\) −326.394 + 273.877i −0.161273 + 0.135324i
\(161\) −1594.05 −0.780304
\(162\) 3178.92 + 1240.86i 1.54173 + 0.601799i
\(163\) 2054.66 0.987321 0.493660 0.869655i \(-0.335659\pi\)
0.493660 + 0.869655i \(0.335659\pi\)
\(164\) 2055.22 1724.53i 0.978571 0.821119i
\(165\) 420.669 + 738.430i 0.198479 + 0.348404i
\(166\) 38.9360 220.817i 0.0182049 0.103245i
\(167\) −3515.68 + 1279.60i −1.62905 + 0.592926i −0.985076 0.172121i \(-0.944938\pi\)
−0.643975 + 0.765047i \(0.722716\pi\)
\(168\) −4113.57 1524.16i −1.88910 0.699950i
\(169\) −341.200 1935.04i −0.155303 0.880766i
\(170\) 518.246 + 897.628i 0.233810 + 0.404970i
\(171\) −1732.94 20.0047i −0.774979 0.00894618i
\(172\) 980.016 1697.44i 0.434451 0.752490i
\(173\) 3861.34 + 1405.41i 1.69695 + 0.617640i 0.995472 0.0950505i \(-0.0303013\pi\)
0.701479 + 0.712690i \(0.252523\pi\)
\(174\) 606.245 216.701i 0.264134 0.0944141i
\(175\) 2691.30 + 2258.27i 1.16253 + 0.975479i
\(176\) 729.942 + 612.494i 0.312622 + 0.262321i
\(177\) −3060.16 2598.03i −1.29952 1.10327i
\(178\) 2697.17 + 981.688i 1.13574 + 0.413374i
\(179\) −2025.01 + 3507.41i −0.845564 + 1.46456i 0.0395661 + 0.999217i \(0.487402\pi\)
−0.885130 + 0.465343i \(0.845931\pi\)
\(180\) 1101.62 + 415.421i 0.456168 + 0.172020i
\(181\) −487.694 844.711i −0.200276 0.346889i 0.748341 0.663314i \(-0.230851\pi\)
−0.948617 + 0.316425i \(0.897517\pi\)
\(182\) 377.749 + 2142.32i 0.153850 + 0.872524i
\(183\) 737.825 611.887i 0.298041 0.247169i
\(184\) 1359.17 494.697i 0.544561 0.198204i
\(185\) 190.782 1081.98i 0.0758192 0.429992i
\(186\) 1334.23 2280.46i 0.525971 0.898985i
\(187\) −2824.02 + 2369.63i −1.10435 + 0.926656i
\(188\) −1602.79 −0.621783
\(189\) −670.040 4226.68i −0.257874 1.62670i
\(190\) −941.735 −0.359582
\(191\) 3422.73 2872.01i 1.29665 1.08802i 0.305937 0.952052i \(-0.401030\pi\)
0.990713 0.135967i \(-0.0434142\pi\)
\(192\) −4065.62 23.4655i −1.52818 0.00882019i
\(193\) 871.661 4943.44i 0.325096 1.84371i −0.183902 0.982945i \(-0.558873\pi\)
0.508998 0.860768i \(-0.330016\pi\)
\(194\) 4897.31 1782.47i 1.81240 0.659661i
\(195\) −41.6741 244.592i −0.0153043 0.0898236i
\(196\) 1419.19 + 8048.63i 0.517198 + 2.93317i
\(197\) 573.953 + 994.116i 0.207576 + 0.359532i 0.950950 0.309343i \(-0.100109\pi\)
−0.743374 + 0.668876i \(0.766776\pi\)
\(198\) −1220.17 + 6481.50i −0.437948 + 2.32637i
\(199\) −1535.19 + 2659.03i −0.546869 + 0.947206i 0.451617 + 0.892212i \(0.350847\pi\)
−0.998487 + 0.0549939i \(0.982486\pi\)
\(200\) −2995.56 1090.29i −1.05909 0.385477i
\(201\) −425.396 + 2333.70i −0.149279 + 0.818937i
\(202\) 477.165 + 400.389i 0.166204 + 0.139462i
\(203\) −618.481 518.967i −0.213837 0.179430i
\(204\) −915.858 + 5024.34i −0.314328 + 1.72438i
\(205\) 567.954 + 206.718i 0.193501 + 0.0704284i
\(206\) 2722.47 4715.45i 0.920793 1.59486i
\(207\) 1070.34 + 919.381i 0.359389 + 0.308703i
\(208\) −139.098 240.924i −0.0463686 0.0803128i
\(209\) −581.630 3298.59i −0.192498 1.09171i
\(210\) −390.584 2292.40i −0.128347 0.753290i
\(211\) −5105.91 + 1858.40i −1.66590 + 0.606339i −0.991274 0.131817i \(-0.957919\pi\)
−0.674630 + 0.738156i \(0.735697\pi\)
\(212\) −7.83212 + 44.4181i −0.00253732 + 0.0143899i
\(213\) −917.003 5.29266i −0.294986 0.00170257i
\(214\) −218.771 + 183.571i −0.0698828 + 0.0586386i
\(215\) 441.556 0.140065
\(216\) 1883.01 + 3395.94i 0.593161 + 1.06974i
\(217\) −3313.31 −1.03651
\(218\) −6414.64 + 5382.52i −1.99291 + 1.67225i
\(219\) 123.967 211.883i 0.0382507 0.0653779i
\(220\) −395.129 + 2240.89i −0.121089 + 0.686730i
\(221\) 1011.38 368.112i 0.307841 0.112045i
\(222\) 6563.09 5442.85i 1.98417 1.64549i
\(223\) −748.910 4247.28i −0.224891 1.27542i −0.862893 0.505386i \(-0.831350\pi\)
0.638002 0.770034i \(-0.279761\pi\)
\(224\) 2073.33 + 3591.12i 0.618439 + 1.07117i
\(225\) −504.619 3068.55i −0.149517 0.909200i
\(226\) −771.292 + 1335.92i −0.227016 + 0.393203i
\(227\) −1685.55 613.489i −0.492836 0.179377i 0.0836333 0.996497i \(-0.473348\pi\)
−0.576469 + 0.817119i \(0.695570\pi\)
\(228\) −3537.36 3003.16i −1.02749 0.872319i
\(229\) 1480.39 + 1242.20i 0.427192 + 0.358457i 0.830891 0.556435i \(-0.187831\pi\)
−0.403699 + 0.914892i \(0.632276\pi\)
\(230\) 587.344 + 492.840i 0.168384 + 0.141291i
\(231\) 7788.30 2783.91i 2.21832 0.792934i
\(232\) 688.403 + 250.558i 0.194810 + 0.0709050i
\(233\) −1836.39 + 3180.72i −0.516335 + 0.894318i 0.483486 + 0.875352i \(0.339371\pi\)
−0.999820 + 0.0189653i \(0.993963\pi\)
\(234\) 981.956 1656.34i 0.274327 0.462729i
\(235\) −180.538 312.701i −0.0501149 0.0868016i
\(236\) −1866.40 10584.9i −0.514797 2.91956i
\(237\) 1528.85 + 566.470i 0.419027 + 0.155258i
\(238\) 9479.01 3450.08i 2.58165 0.939644i
\(239\) −263.444 + 1494.07i −0.0713003 + 0.404364i 0.928180 + 0.372131i \(0.121373\pi\)
−0.999480 + 0.0322329i \(0.989738\pi\)
\(240\) 147.204 + 258.398i 0.0395917 + 0.0694980i
\(241\) 3731.32 3130.95i 0.997326 0.836856i 0.0107145 0.999943i \(-0.496589\pi\)
0.986612 + 0.163086i \(0.0521449\pi\)
\(242\) −6516.28 −1.73092
\(243\) −1987.86 + 3224.48i −0.524780 + 0.851238i
\(244\) 2566.47 0.673366
\(245\) −1410.42 + 1183.48i −0.367789 + 0.308611i
\(246\) 2321.79 + 4075.61i 0.601756 + 1.05631i
\(247\) −169.809 + 963.037i −0.0437438 + 0.248083i
\(248\) 2825.09 1028.25i 0.723362 0.263282i
\(249\) 233.389 + 86.4755i 0.0593994 + 0.0220087i
\(250\) −611.900 3470.26i −0.154800 0.877913i
\(251\) −1277.75 2213.14i −0.321319 0.556542i 0.659441 0.751756i \(-0.270793\pi\)
−0.980761 + 0.195215i \(0.937460\pi\)
\(252\) 5843.26 9856.30i 1.46068 2.46384i
\(253\) −1363.50 + 2361.66i −0.338825 + 0.586862i
\(254\) −3889.38 1415.62i −0.960794 0.349700i
\(255\) −1083.40 + 387.260i −0.266060 + 0.0951026i
\(256\) −4439.19 3724.92i −1.08379 0.909405i
\(257\) 672.124 + 563.979i 0.163136 + 0.136887i 0.720701 0.693246i \(-0.243820\pi\)
−0.557565 + 0.830133i \(0.688264\pi\)
\(258\) 2612.29 + 2217.79i 0.630364 + 0.535169i
\(259\) −10047.6 3657.04i −2.41054 0.877364i
\(260\) 332.165 575.327i 0.0792307 0.137232i
\(261\) 115.965 + 705.177i 0.0275022 + 0.167239i
\(262\) 3895.28 + 6746.82i 0.918515 + 1.59091i
\(263\) 970.761 + 5505.46i 0.227603 + 1.29080i 0.857645 + 0.514242i \(0.171927\pi\)
−0.630042 + 0.776561i \(0.716962\pi\)
\(264\) −5776.73 + 4790.71i −1.34672 + 1.11685i
\(265\) −9.54812 + 3.47523i −0.00221334 + 0.000805591i
\(266\) −1591.51 + 9025.92i −0.366849 + 2.08051i
\(267\) −1608.94 + 2749.99i −0.368784 + 0.630323i
\(268\) −4865.46 + 4082.60i −1.10897 + 0.930540i
\(269\) 4914.12 1.11383 0.556913 0.830571i \(-0.311986\pi\)
0.556913 + 0.830571i \(0.311986\pi\)
\(270\) −1059.90 + 1764.52i −0.238901 + 0.397723i
\(271\) −2629.84 −0.589487 −0.294744 0.955576i \(-0.595234\pi\)
−0.294744 + 0.955576i \(0.595234\pi\)
\(272\) −988.206 + 829.203i −0.220290 + 0.184845i
\(273\) −2414.68 13.9368i −0.535324 0.00308972i
\(274\) 152.532 865.051i 0.0336306 0.190729i
\(275\) 5647.77 2055.62i 1.23845 0.450758i
\(276\) 634.541 + 3724.23i 0.138387 + 0.812218i
\(277\) 919.152 + 5212.77i 0.199374 + 1.13070i 0.906051 + 0.423169i \(0.139082\pi\)
−0.706677 + 0.707536i \(0.749807\pi\)
\(278\) −3258.43 5643.77i −0.702977 1.21759i
\(279\) 2224.75 + 1910.98i 0.477391 + 0.410062i
\(280\) 1323.04 2291.58i 0.282382 0.489100i
\(281\) 1902.69 + 692.524i 0.403933 + 0.147020i 0.535994 0.844222i \(-0.319937\pi\)
−0.132060 + 0.991242i \(0.542159\pi\)
\(282\) 502.512 2756.75i 0.106114 0.582136i
\(283\) 5187.82 + 4353.10i 1.08970 + 0.914363i 0.996690 0.0813021i \(-0.0259078\pi\)
0.0930064 + 0.995666i \(0.470352\pi\)
\(284\) −1880.87 1578.24i −0.392990 0.329758i
\(285\) 187.463 1028.41i 0.0389625 0.213746i
\(286\) 3497.05 + 1272.82i 0.723025 + 0.263160i
\(287\) 2941.09 5094.12i 0.604903 1.04772i
\(288\) 679.049 3607.09i 0.138935 0.738020i
\(289\) −38.9128 67.3989i −0.00792037 0.0137185i
\(290\) 67.4340 + 382.437i 0.0136547 + 0.0774396i
\(291\) 971.663 + 5702.85i 0.195738 + 1.14882i
\(292\) 617.641 224.803i 0.123783 0.0450534i
\(293\) −272.936 + 1547.90i −0.0544201 + 0.308632i −0.999852 0.0171872i \(-0.994529\pi\)
0.945432 + 0.325819i \(0.105640\pi\)
\(294\) −14288.4 82.4682i −2.83441 0.0163593i
\(295\) 1854.86 1556.41i 0.366081 0.307179i
\(296\) 9702.02 1.90513
\(297\) −6835.14 2622.68i −1.33540 0.512402i
\(298\) −9651.86 −1.87623
\(299\) 609.896 511.763i 0.117964 0.0989834i
\(300\) 4204.73 7186.69i 0.809200 1.38308i
\(301\) 746.221 4232.03i 0.142895 0.810399i
\(302\) −6811.18 + 2479.07i −1.29781 + 0.472365i
\(303\) −532.224 + 441.379i −0.100909 + 0.0836851i
\(304\) −203.529 1154.27i −0.0383987 0.217770i
\(305\) 289.087 + 500.714i 0.0542724 + 0.0940025i
\(306\) −8354.60 3150.51i −1.56079 0.588570i
\(307\) 4253.71 7367.64i 0.790788 1.36968i −0.134692 0.990888i \(-0.543005\pi\)
0.925480 0.378797i \(-0.123662\pi\)
\(308\) 20809.7 + 7574.11i 3.84981 + 1.40122i
\(309\) 4607.51 + 3911.69i 0.848258 + 0.720157i
\(310\) 1220.82 + 1024.39i 0.223671 + 0.187682i
\(311\) −6795.24 5701.88i −1.23898 1.03963i −0.997603 0.0691959i \(-0.977957\pi\)
−0.241377 0.970432i \(-0.577599\pi\)
\(312\) 2063.20 737.487i 0.374378 0.133821i
\(313\) 4568.17 + 1662.68i 0.824946 + 0.300256i 0.719783 0.694199i \(-0.244241\pi\)
0.105163 + 0.994455i \(0.466464\pi\)
\(314\) −852.581 + 1476.71i −0.153229 + 0.265401i
\(315\) 2581.13 + 29.7960i 0.461684 + 0.00532957i
\(316\) 2182.72 + 3780.57i 0.388568 + 0.673019i
\(317\) −892.835 5063.52i −0.158191 0.897147i −0.955810 0.293985i \(-0.905018\pi\)
0.797619 0.603162i \(-0.206093\pi\)
\(318\) −73.9425 27.3972i −0.0130393 0.00483131i
\(319\) −1297.90 + 472.398i −0.227801 + 0.0829128i
\(320\) 425.848 2415.10i 0.0743926 0.421901i
\(321\) −156.917 275.448i −0.0272843 0.0478941i
\(322\) 5716.16 4796.42i 0.989282 0.830106i
\(323\) 4534.56 0.781145
\(324\) −9608.19 + 3247.94i −1.64749 + 0.556917i
\(325\) −1754.71 −0.299489
\(326\) −7367.85 + 6182.36i −1.25174 + 1.05034i
\(327\) −4601.00 8076.46i −0.778091 1.36584i
\(328\) −926.815 + 5256.23i −0.156021 + 0.884838i
\(329\) −3302.14 + 1201.88i −0.553353 + 0.201404i
\(330\) −3730.39 1382.18i −0.622276 0.230566i
\(331\) 73.9029 + 419.124i 0.0122721 + 0.0695987i 0.990329 0.138740i \(-0.0443054\pi\)
−0.978057 + 0.208339i \(0.933194\pi\)
\(332\) 333.206 + 577.130i 0.0550815 + 0.0954040i
\(333\) 4637.33 + 8250.58i 0.763135 + 1.35774i
\(334\) 8756.71 15167.1i 1.43457 2.48474i
\(335\) −1344.55 489.378i −0.219286 0.0798137i
\(336\) 2725.35 974.170i 0.442500 0.158171i
\(337\) −6033.36 5062.59i −0.975247 0.818329i 0.00811862 0.999967i \(-0.497416\pi\)
−0.983366 + 0.181638i \(0.941860\pi\)
\(338\) 7045.97 + 5912.27i 1.13388 + 0.951435i
\(339\) −1305.33 1108.21i −0.209133 0.177550i
\(340\) −2894.77 1053.61i −0.461738 0.168059i
\(341\) −2834.11 + 4908.82i −0.450075 + 0.779552i
\(342\) 6274.40 5142.60i 0.992048 0.813099i
\(343\) 3728.04 + 6457.15i 0.586866 + 1.01648i
\(344\) 677.099 + 3840.02i 0.106124 + 0.601860i
\(345\) −655.116 + 543.296i −0.102233 + 0.0847828i
\(346\) −18075.3 + 6578.88i −2.80848 + 1.02220i
\(347\) 1576.05 8938.23i 0.243824 1.38279i −0.579385 0.815054i \(-0.696707\pi\)
0.823209 0.567739i \(-0.192182\pi\)
\(348\) −966.280 + 1651.56i −0.148845 + 0.254405i
\(349\) −4507.96 + 3782.63i −0.691420 + 0.580170i −0.919318 0.393515i \(-0.871259\pi\)
0.227898 + 0.973685i \(0.426815\pi\)
\(350\) −16445.8 −2.51161
\(351\) 1613.32 + 1402.04i 0.245335 + 0.213207i
\(352\) 7093.86 1.07416
\(353\) 1206.41 1012.30i 0.181900 0.152633i −0.547291 0.836942i \(-0.684341\pi\)
0.729191 + 0.684310i \(0.239896\pi\)
\(354\) 18790.8 + 108.455i 2.82125 + 0.0162834i
\(355\) 96.0502 544.728i 0.0143600 0.0814399i
\(356\) −8016.22 + 2917.67i −1.19342 + 0.434371i
\(357\) 1880.71 + 11038.2i 0.278817 + 1.63642i
\(358\) −3292.10 18670.5i −0.486014 2.75632i
\(359\) −1288.44 2231.64i −0.189419 0.328082i 0.755638 0.654989i \(-0.227327\pi\)
−0.945057 + 0.326907i \(0.893994\pi\)
\(360\) −2210.05 + 775.621i −0.323555 + 0.113552i
\(361\) 1369.49 2372.03i 0.199664 0.345828i
\(362\) 4290.53 + 1561.62i 0.622942 + 0.226732i
\(363\) 1297.13 7116.00i 0.187554 1.02891i
\(364\) −4952.78 4155.88i −0.713176 0.598426i
\(365\) 113.430 + 95.1790i 0.0162663 + 0.0136490i
\(366\) −804.649 + 4414.26i −0.114917 + 0.630429i
\(367\) 7370.16 + 2682.52i 1.04828 + 0.381543i 0.808014 0.589164i \(-0.200543\pi\)
0.240267 + 0.970707i \(0.422765\pi\)
\(368\) −477.130 + 826.413i −0.0675872 + 0.117065i
\(369\) −4912.88 + 1724.19i −0.693102 + 0.243245i
\(370\) 2571.48 + 4453.94i 0.361311 + 0.625809i
\(371\) 17.1717 + 97.3856i 0.00240299 + 0.0136280i
\(372\) 1318.92 + 7740.99i 0.183825 + 1.07890i
\(373\) 742.689 270.317i 0.103096 0.0375240i −0.289957 0.957040i \(-0.593641\pi\)
0.393053 + 0.919516i \(0.371419\pi\)
\(374\) 2996.61 16994.6i 0.414308 2.34966i
\(375\) 3911.45 + 22.5757i 0.538630 + 0.00310881i
\(376\) 2442.58 2049.57i 0.335017 0.281113i
\(377\) 403.247 0.0550883
\(378\) 15120.6 + 13140.4i 2.05746 + 1.78802i
\(379\) 2352.16 0.318792 0.159396 0.987215i \(-0.449045\pi\)
0.159396 + 0.987215i \(0.449045\pi\)
\(380\) 2144.10 1799.11i 0.289447 0.242875i
\(381\) 2320.13 3965.55i 0.311979 0.533231i
\(382\) −3631.92 + 20597.7i −0.486454 + 2.75882i
\(383\) −2407.58 + 876.286i −0.321205 + 0.116909i −0.497590 0.867412i \(-0.665782\pi\)
0.176386 + 0.984321i \(0.443559\pi\)
\(384\) 10299.8 8541.73i 1.36877 1.13514i
\(385\) 866.310 + 4913.09i 0.114679 + 0.650374i
\(386\) 11748.8 + 20349.6i 1.54922 + 2.68333i
\(387\) −2941.91 + 2411.24i −0.386423 + 0.316718i
\(388\) −7744.68 + 13414.2i −1.01334 + 1.75516i
\(389\) 4602.57 + 1675.20i 0.599896 + 0.218344i 0.624076 0.781363i \(-0.285475\pi\)
−0.0241805 + 0.999708i \(0.507698\pi\)
\(390\) 885.405 + 751.694i 0.114960 + 0.0975987i
\(391\) −2828.13 2373.08i −0.365792 0.306936i
\(392\) −12455.0 10451.0i −1.60478 1.34657i
\(393\) −8143.16 + 2910.75i −1.04521 + 0.373608i
\(394\) −5049.40 1837.83i −0.645647 0.234996i
\(395\) −491.723 + 851.688i −0.0626361 + 0.108489i
\(396\) −9604.39 17087.8i −1.21878 2.16842i
\(397\) −2389.95 4139.51i −0.302136 0.523315i 0.674484 0.738290i \(-0.264366\pi\)
−0.976620 + 0.214975i \(0.931033\pi\)
\(398\) −2495.81 14154.4i −0.314330 1.78266i
\(399\) −9539.82 3534.70i −1.19696 0.443499i
\(400\) 1976.32 719.321i 0.247040 0.0899151i
\(401\) −1985.67 + 11261.3i −0.247281 + 1.40240i 0.567853 + 0.823130i \(0.307774\pi\)
−0.815134 + 0.579272i \(0.803337\pi\)
\(402\) −5496.53 9648.46i −0.681946 1.19707i
\(403\) 1267.70 1063.72i 0.156696 0.131484i
\(404\) −1851.30 −0.227984
\(405\) −1715.94 1508.69i −0.210532 0.185105i
\(406\) 3779.37 0.461988
\(407\) −14012.5 + 11757.9i −1.70657 + 1.43198i
\(408\) −5029.16 8828.04i −0.610246 1.07121i
\(409\) 127.051 720.541i 0.0153600 0.0871111i −0.976164 0.217034i \(-0.930362\pi\)
0.991524 + 0.129923i \(0.0414729\pi\)
\(410\) −2658.64 + 967.667i −0.320247 + 0.116560i
\(411\) 914.303 + 338.768i 0.109731 + 0.0406574i
\(412\) 2810.12 + 15937.0i 0.336031 + 1.90573i
\(413\) −11782.5 20407.9i −1.40382 2.43149i
\(414\) −6604.52 76.2411i −0.784045 0.00905083i
\(415\) −75.0648 + 130.016i −0.00887900 + 0.0153789i
\(416\) −1946.18 708.353i −0.229374 0.0834852i
\(417\) 6811.82 2434.87i 0.799943 0.285938i
\(418\) 12011.0 + 10078.4i 1.40544 + 1.17931i
\(419\) 9216.88 + 7733.88i 1.07464 + 0.901730i 0.995465 0.0951306i \(-0.0303269\pi\)
0.0791753 + 0.996861i \(0.474771\pi\)
\(420\) 5268.72 + 4473.05i 0.612113 + 0.519673i
\(421\) 9190.64 + 3345.12i 1.06395 + 0.387247i 0.813912 0.580988i \(-0.197334\pi\)
0.250041 + 0.968235i \(0.419556\pi\)
\(422\) 12717.6 22027.5i 1.46702 2.54095i
\(423\) 2910.44 + 1097.52i 0.334540 + 0.126155i
\(424\) −44.8640 77.7067i −0.00513865 0.00890040i
\(425\) 1412.93 + 8013.12i 0.161264 + 0.914573i
\(426\) 3304.23 2740.23i 0.375799 0.311654i
\(427\) 5287.56 1924.52i 0.599258 0.218112i
\(428\) 147.390 835.892i 0.0166457 0.0944027i
\(429\) −2086.09 + 3565.54i −0.234773 + 0.401272i
\(430\) −1583.39 + 1328.62i −0.177576 + 0.149004i
\(431\) 13216.3 1.47704 0.738521 0.674230i \(-0.235525\pi\)
0.738521 + 0.674230i \(0.235525\pi\)
\(432\) −2391.81 917.752i −0.266380 0.102211i
\(433\) −8013.78 −0.889417 −0.444708 0.895675i \(-0.646693\pi\)
−0.444708 + 0.895675i \(0.646693\pi\)
\(434\) 11881.3 9969.59i 1.31410 1.10266i
\(435\) −431.058 2.48793i −0.0475119 0.000274224i
\(436\) 4321.66 24509.3i 0.474702 2.69217i
\(437\) 3152.06 1147.26i 0.345042 0.125585i
\(438\) 193.010 + 1132.81i 0.0210557 + 0.123579i
\(439\) 1447.64 + 8209.96i 0.157385 + 0.892575i 0.956573 + 0.291493i \(0.0941521\pi\)
−0.799188 + 0.601081i \(0.794737\pi\)
\(440\) −2263.38 3920.29i −0.245233 0.424756i
\(441\) 2934.32 15587.0i 0.316846 1.68308i
\(442\) −2519.10 + 4363.21i −0.271089 + 0.469540i
\(443\) −9943.42 3619.11i −1.06642 0.388147i −0.251586 0.967835i \(-0.580952\pi\)
−0.814838 + 0.579688i \(0.803174\pi\)
\(444\) −4544.40 + 24930.3i −0.485738 + 2.66473i
\(445\) −1472.18 1235.31i −0.156827 0.131594i
\(446\) 15465.4 + 12977.0i 1.64194 + 1.37775i
\(447\) 1921.31 10540.2i 0.203299 1.11529i
\(448\) −22427.5 8162.96i −2.36518 0.860856i
\(449\) 4046.22 7008.25i 0.425285 0.736614i −0.571162 0.820837i \(-0.693507\pi\)
0.996447 + 0.0842226i \(0.0268407\pi\)
\(450\) 11042.6 + 9485.22i 1.15679 + 0.993640i
\(451\) −5031.44 8714.71i −0.525324 0.909888i
\(452\) −796.125 4515.05i −0.0828464 0.469845i
\(453\) −1351.39 7931.53i −0.140163 0.822640i
\(454\) 7890.20 2871.80i 0.815651 0.296873i
\(455\) 252.923 1434.40i 0.0260598 0.147792i
\(456\) 9231.07 + 53.2789i 0.947992 + 0.00547152i
\(457\) −10258.7 + 8608.05i −1.05007 + 0.881111i −0.993101 0.117266i \(-0.962587\pi\)
−0.0569661 + 0.998376i \(0.518143\pi\)
\(458\) −9046.27 −0.922936
\(459\) 5103.54 8496.37i 0.518982 0.864002i
\(460\) −2278.77 −0.230975
\(461\) −1578.04 + 1324.13i −0.159428 + 0.133776i −0.719012 0.694997i \(-0.755405\pi\)
0.559584 + 0.828774i \(0.310961\pi\)
\(462\) −19551.6 + 33417.5i −1.96888 + 3.36520i
\(463\) 1067.23 6052.56i 0.107124 0.607530i −0.883227 0.468946i \(-0.844634\pi\)
0.990351 0.138584i \(-0.0442550\pi\)
\(464\) −454.174 + 165.306i −0.0454407 + 0.0165391i
\(465\) −1361.69 + 1129.27i −0.135800 + 0.112620i
\(466\) −2985.47 16931.4i −0.296779 1.68312i
\(467\) 6632.44 + 11487.7i 0.657200 + 1.13830i 0.981337 + 0.192294i \(0.0615928\pi\)
−0.324137 + 0.946010i \(0.605074\pi\)
\(468\) 928.647 + 5647.04i 0.0917238 + 0.557766i
\(469\) −6962.64 + 12059.6i −0.685511 + 1.18734i
\(470\) 1588.30 + 578.093i 0.155878 + 0.0567350i
\(471\) −1442.91 1225.00i −0.141159 0.119841i
\(472\) 16379.7 + 13744.2i 1.59732 + 1.34031i
\(473\) −5631.64 4725.51i −0.547448 0.459364i
\(474\) −7186.82 + 2568.91i −0.696417 + 0.248933i
\(475\) −6947.03 2528.51i −0.671056 0.244244i
\(476\) −14990.3 + 25963.9i −1.44344 + 2.50011i
\(477\) 44.6377 75.2941i 0.00428474 0.00722742i
\(478\) −3550.88 6150.30i −0.339777 0.588511i
\(479\) 1327.47 + 7528.44i 0.126625 + 0.718128i 0.980329 + 0.197369i \(0.0632397\pi\)
−0.853704 + 0.520759i \(0.825649\pi\)
\(480\) 2076.04 + 769.214i 0.197412 + 0.0731451i
\(481\) 5018.36 1826.54i 0.475713 0.173145i
\(482\) −3959.37 + 22454.7i −0.374159 + 2.12196i
\(483\) 4100.00 + 7197.02i 0.386245 + 0.678004i
\(484\) 14836.0 12448.8i 1.39331 1.16913i
\(485\) −3489.45 −0.326696
\(486\) −2573.97 17544.1i −0.240242 1.63749i
\(487\) 11505.9 1.07060 0.535298 0.844663i \(-0.320199\pi\)
0.535298 + 0.844663i \(0.320199\pi\)
\(488\) −3911.19 + 3281.87i −0.362810 + 0.304433i
\(489\) −5284.71 9276.62i −0.488717 0.857880i
\(490\) 1496.62 8487.74i 0.137980 0.782525i
\(491\) −2048.18 + 745.475i −0.188254 + 0.0685190i −0.434427 0.900707i \(-0.643049\pi\)
0.246173 + 0.969226i \(0.420827\pi\)
\(492\) −13072.3 4843.55i −1.19785 0.443829i
\(493\) −324.702 1841.48i −0.0296630 0.168227i
\(494\) −2288.81 3964.33i −0.208458 0.361060i
\(495\) 2251.97 3798.58i 0.204482 0.344916i
\(496\) −991.736 + 1717.74i −0.0897788 + 0.155501i
\(497\) −5058.54 1841.16i −0.456552 0.166171i
\(498\) −1097.12 + 392.162i −0.0987209 + 0.0352875i
\(499\) −8175.54 6860.09i −0.733442 0.615431i 0.197626 0.980278i \(-0.436677\pi\)
−0.931068 + 0.364847i \(0.881121\pi\)
\(500\) 8022.80 + 6731.93i 0.717581 + 0.602122i
\(501\) 14819.8 + 12581.8i 1.32156 + 1.12198i
\(502\) 11241.1 + 4091.44i 0.999436 + 0.363765i
\(503\) −6253.53 + 10831.4i −0.554336 + 0.960138i 0.443619 + 0.896216i \(0.353694\pi\)
−0.997955 + 0.0639225i \(0.979639\pi\)
\(504\) 3698.89 + 22492.7i 0.326908 + 1.98790i
\(505\) −208.530 361.185i −0.0183752 0.0318268i
\(506\) −2216.69 12571.4i −0.194750 1.10448i
\(507\) −7858.98 + 6517.54i −0.688421 + 0.570916i
\(508\) 11559.6 4207.35i 1.00959 0.367462i
\(509\) −2383.89 + 13519.7i −0.207592 + 1.17731i 0.685718 + 0.727868i \(0.259488\pi\)
−0.893309 + 0.449442i \(0.851623\pi\)
\(510\) 2719.76 4648.59i 0.236143 0.403614i
\(511\) 1103.92 926.301i 0.0955669 0.0801901i
\(512\) 6525.55 0.563264
\(513\) 4366.91 + 7875.55i 0.375836 + 0.677805i
\(514\) −4107.17 −0.352450
\(515\) −2792.75 + 2343.39i −0.238958 + 0.200509i
\(516\) −10184.5 58.7815i −0.868887 0.00501494i
\(517\) −1043.91 + 5920.32i −0.0888031 + 0.503628i
\(518\) 47033.9 17118.9i 3.98948 1.45205i
\(519\) −3586.28 21048.5i −0.303314 1.78020i
\(520\) 229.495 + 1301.53i 0.0193539 + 0.109761i
\(521\) −1364.30 2363.03i −0.114723 0.198707i 0.802946 0.596052i \(-0.203265\pi\)
−0.917669 + 0.397345i \(0.869931\pi\)
\(522\) −2537.69 2179.78i −0.212781 0.182771i
\(523\) 3952.82 6846.49i 0.330487 0.572421i −0.652120 0.758116i \(-0.726120\pi\)
0.982607 + 0.185695i \(0.0594536\pi\)
\(524\) −21757.9 7919.21i −1.81392 0.660214i
\(525\) 3273.71 17959.4i 0.272146 1.49297i
\(526\) −20046.7 16821.2i −1.66175 1.39437i
\(527\) −5878.40 4932.56i −0.485896 0.407715i
\(528\) 887.906 4871.00i 0.0731840 0.401483i
\(529\) 8866.96 + 3227.31i 0.728771 + 0.265251i
\(530\) 23.7820 41.1917i 0.00194911 0.00337595i
\(531\) −3858.95 + 20498.7i −0.315375 + 1.67527i
\(532\) −13619.8 23590.3i −1.10995 1.92250i
\(533\) 510.161 + 2893.27i 0.0414588 + 0.235124i
\(534\) −2505.03 14702.5i −0.203003 1.19146i
\(535\) 179.683 65.3993i 0.0145203 0.00528497i
\(536\) 2194.11 12443.4i 0.176812 1.00275i
\(537\) 21044.1 + 121.460i 1.69110 + 0.00976051i
\(538\) −17621.7 + 14786.3i −1.41213 + 1.18491i
\(539\) 30654.1 2.44966
\(540\) −957.853 6042.23i −0.0763323 0.481512i
\(541\) 15190.8 1.20721 0.603606 0.797283i \(-0.293730\pi\)
0.603606 + 0.797283i \(0.293730\pi\)
\(542\) 9430.39 7913.04i 0.747362 0.627111i
\(543\) −2559.42 + 4374.55i −0.202275 + 0.345727i
\(544\) −1667.68 + 9457.87i −0.131436 + 0.745410i
\(545\) 5268.52 1917.59i 0.414089 0.150716i
\(546\) 8700.81 7215.68i 0.681979 0.565573i
\(547\) −808.572 4585.64i −0.0632030 0.358442i −0.999964 0.00847267i \(-0.997303\pi\)
0.936761 0.349970i \(-0.113808\pi\)
\(548\) 1305.34 + 2260.91i 0.101754 + 0.176243i
\(549\) −4660.35 1757.41i −0.362293 0.136620i
\(550\) −14067.2 + 24365.1i −1.09060 + 1.88897i
\(551\) 1596.48 + 581.072i 0.123435 + 0.0449265i
\(552\) −5729.38 4864.15i −0.441773 0.375058i
\(553\) 7331.88 + 6152.18i 0.563803 + 0.473087i
\(554\) −18981.0 15926.9i −1.45564 1.22143i
\(555\) −5375.74 + 1921.55i −0.411149 + 0.146964i
\(556\) 18200.6 + 6624.48i 1.38827 + 0.505289i
\(557\) −2359.71 + 4087.14i −0.179505 + 0.310911i −0.941711 0.336423i \(-0.890783\pi\)
0.762206 + 0.647334i \(0.224116\pi\)
\(558\) −13727.8 158.471i −1.04148 0.0120226i
\(559\) 1073.16 + 1858.77i 0.0811985 + 0.140640i
\(560\) 303.147 + 1719.23i 0.0228755 + 0.129734i
\(561\) 17962.2 + 6655.37i 1.35181 + 0.500874i
\(562\) −8906.69 + 3241.77i −0.668516 + 0.243320i
\(563\) 3316.99 18811.6i 0.248303 1.40820i −0.564392 0.825507i \(-0.690889\pi\)
0.812695 0.582689i \(-0.198000\pi\)
\(564\) 4122.47 + 7236.46i 0.307779 + 0.540266i
\(565\) 791.203 663.898i 0.0589136 0.0494343i
\(566\) −31701.4 −2.35426
\(567\) −17359.7 + 13896.5i −1.28579 + 1.02927i
\(568\) 4884.54 0.360829
\(569\) 14399.9 12083.0i 1.06094 0.890237i 0.0667412 0.997770i \(-0.478740\pi\)
0.994201 + 0.107534i \(0.0342954\pi\)
\(570\) 2422.20 + 4251.86i 0.177991 + 0.312440i
\(571\) −2425.55 + 13756.0i −0.177769 + 1.00818i 0.757130 + 0.653265i \(0.226601\pi\)
−0.934899 + 0.354914i \(0.884510\pi\)
\(572\) −10393.6 + 3782.95i −0.759750 + 0.276526i
\(573\) −21770.4 8066.37i −1.58721 0.588093i
\(574\) 4781.41 + 27116.7i 0.347687 + 1.97183i
\(575\) 3009.49 + 5212.60i 0.218269 + 0.378053i
\(576\) 10351.1 + 18416.3i 0.748776 + 1.33220i
\(577\) −5985.88 + 10367.9i −0.431881 + 0.748041i −0.997035 0.0769449i \(-0.975483\pi\)
0.565154 + 0.824985i \(0.308817\pi\)
\(578\) 342.338 + 124.601i 0.0246356 + 0.00896663i
\(579\) −24561.2 + 8779.34i −1.76292 + 0.630150i
\(580\) −884.147 741.887i −0.0632969 0.0531124i
\(581\) 1119.26 + 939.171i 0.0799221 + 0.0670626i
\(582\) −20643.9 17526.3i −1.47030 1.24826i
\(583\) 158.969 + 57.8600i 0.0112930 + 0.00411032i
\(584\) −653.792 + 1132.40i −0.0463255 + 0.0802381i
\(585\) −997.125 + 817.261i −0.0704719 + 0.0577599i
\(586\) −3678.81 6371.89i −0.259335 0.449182i
\(587\) 215.649 + 1223.01i 0.0151632 + 0.0859946i 0.991450 0.130485i \(-0.0416535\pi\)
−0.976287 + 0.216480i \(0.930542\pi\)
\(588\) 32688.7 27109.1i 2.29262 1.90129i
\(589\) 6551.70 2384.63i 0.458333 0.166820i
\(590\) −1968.22 + 11162.3i −0.137340 + 0.778892i
\(591\) 3012.11 5148.28i 0.209648 0.358328i
\(592\) −4903.38 + 4114.42i −0.340418 + 0.285645i
\(593\) −19788.2 −1.37033 −0.685164 0.728389i \(-0.740270\pi\)
−0.685164 + 0.728389i \(0.740270\pi\)
\(594\) 32401.8 11161.9i 2.23815 0.771004i
\(595\) −6754.01 −0.465357
\(596\) 21974.9 18439.1i 1.51028 1.26728i
\(597\) 15953.9 + 92.0812i 1.09372 + 0.00631262i
\(598\) −647.171 + 3670.29i −0.0442555 + 0.250985i
\(599\) −10203.7 + 3713.84i −0.696013 + 0.253328i −0.665708 0.746213i \(-0.731870\pi\)
−0.0303055 + 0.999541i \(0.509648\pi\)
\(600\) 2782.17 + 16329.0i 0.189303 + 1.11105i
\(601\) 2149.42 + 12190.0i 0.145885 + 0.827353i 0.966653 + 0.256091i \(0.0824347\pi\)
−0.820768 + 0.571262i \(0.806454\pi\)
\(602\) 10058.1 + 17421.1i 0.680957 + 1.17945i
\(603\) 11630.6 4081.78i 0.785464 0.275660i
\(604\) 10771.3 18656.5i 0.725627 1.25682i
\(605\) 4099.87 + 1492.23i 0.275510 + 0.100277i
\(606\) 580.427 3184.19i 0.0389080 0.213447i
\(607\) −437.013 366.698i −0.0292221 0.0245203i 0.628060 0.778165i \(-0.283849\pi\)
−0.657282 + 0.753645i \(0.728294\pi\)
\(608\) −6684.35 5608.83i −0.445865 0.374125i
\(609\) −752.325 + 4127.21i −0.0500587 + 0.274619i
\(610\) −2543.27 925.673i −0.168810 0.0614417i
\(611\) 877.564 1519.99i 0.0581055 0.100642i
\(612\) 25040.2 8787.89i 1.65390 0.580440i
\(613\) −6020.22 10427.3i −0.396663 0.687040i 0.596649 0.802502i \(-0.296498\pi\)
−0.993312 + 0.115462i \(0.963165\pi\)
\(614\) 6915.36 + 39219.0i 0.454530 + 2.57777i
\(615\) −527.495 3095.96i −0.0345864 0.202994i
\(616\) −41398.5 + 15067.8i −2.70778 + 0.985552i
\(617\) 2860.54 16222.9i 0.186647 1.05853i −0.737174 0.675702i \(-0.763840\pi\)
0.923821 0.382824i \(-0.125048\pi\)
\(618\) −28292.3 163.294i −1.84156 0.0106289i
\(619\) 16324.7 13698.0i 1.06001 0.889451i 0.0658968 0.997826i \(-0.479009\pi\)
0.994110 + 0.108375i \(0.0345647\pi\)
\(620\) −4736.53 −0.306813
\(621\) 1397.96 7197.19i 0.0903352 0.465078i
\(622\) 41523.9 2.67678
\(623\) −14327.6 + 12022.2i −0.921383 + 0.773132i
\(624\) −729.985 + 1247.69i −0.0468314 + 0.0800439i
\(625\) 2090.33 11854.8i 0.133781 0.758709i
\(626\) −21384.0 + 7783.14i −1.36530 + 0.496928i
\(627\) −13396.9 + 11110.2i −0.853300 + 0.707652i
\(628\) −880.031 4990.91i −0.0559189 0.317132i
\(629\) −12382.0 21446.2i −0.784900 1.35949i
\(630\) −9345.41 + 7659.65i −0.591000 + 0.484394i
\(631\) 4125.03 7144.76i 0.260245 0.450758i −0.706062 0.708150i \(-0.749530\pi\)
0.966307 + 0.257392i \(0.0828632\pi\)
\(632\) −8160.78 2970.28i −0.513637 0.186949i
\(633\) 21523.3 + 18272.9i 1.35146 + 1.14736i
\(634\) 18437.5 + 15470.9i 1.15496 + 0.969130i
\(635\) 2122.92 + 1781.34i 0.132670 + 0.111323i
\(636\) 220.689 78.8848i 0.0137593 0.00491821i
\(637\) −8409.87 3060.94i −0.523095 0.190391i
\(638\) 3232.76 5599.30i 0.200605 0.347459i
\(639\) 2334.69 + 4153.81i 0.144537 + 0.257155i
\(640\) 4035.56 + 6989.79i 0.249249 + 0.431712i
\(641\) −4518.42 25625.2i −0.278419 1.57899i −0.727887 0.685697i \(-0.759497\pi\)
0.449467 0.893297i \(-0.351614\pi\)
\(642\) 1391.50 + 515.580i 0.0855424 + 0.0316952i
\(643\) 8192.22 2981.72i 0.502441 0.182874i −0.0783505 0.996926i \(-0.524965\pi\)
0.580792 + 0.814052i \(0.302743\pi\)
\(644\) −3851.08 + 21840.6i −0.235642 + 1.33639i
\(645\) −1135.71 1993.59i −0.0693310 0.121702i
\(646\) −16260.6 + 13644.3i −0.990348 + 0.831001i
\(647\) −23287.2 −1.41502 −0.707508 0.706705i \(-0.750181\pi\)
−0.707508 + 0.706705i \(0.750181\pi\)
\(648\) 10489.2 17236.2i 0.635885 1.04491i
\(649\) −40313.6 −2.43828
\(650\) 6292.27 5279.84i 0.379697 0.318604i
\(651\) 8522.05 + 14959.3i 0.513065 + 0.900619i
\(652\) 4963.86 28151.4i 0.298159 1.69094i
\(653\) −14922.9 + 5431.50i −0.894302 + 0.325499i −0.747967 0.663736i \(-0.768970\pi\)
−0.146335 + 0.989235i \(0.546748\pi\)
\(654\) 40800.5 + 15117.4i 2.43949 + 0.903880i
\(655\) −905.782 5136.94i −0.0540333 0.306438i
\(656\) −1760.65 3049.53i −0.104789 0.181500i
\(657\) −1275.49 14.7239i −0.0757405 0.000874330i
\(658\) 8224.84 14245.8i 0.487291 0.844013i
\(659\) 19553.5 + 7116.89i 1.15584 + 0.420690i 0.847608 0.530623i \(-0.178042\pi\)
0.308228 + 0.951313i \(0.400264\pi\)
\(660\) 11133.7 3979.72i 0.656636 0.234713i
\(661\) −13949.0 11704.6i −0.820809 0.688740i 0.132353 0.991203i \(-0.457747\pi\)
−0.953161 + 0.302462i \(0.902191\pi\)
\(662\) −1526.13 1280.58i −0.0895995 0.0751829i
\(663\) −4263.33 3619.49i −0.249734 0.212020i
\(664\) −1245.80 453.433i −0.0728108 0.0265010i
\(665\) 3068.28 5314.42i 0.178922 0.309901i
\(666\) −41454.7 15632.5i −2.41192 0.909530i
\(667\) −691.605 1197.90i −0.0401485 0.0695393i
\(668\) 9038.64 + 51260.7i 0.523526 + 2.96906i
\(669\) −17249.9 + 14305.5i −0.996889 + 0.826732i
\(670\) 6293.99 2290.82i 0.362922 0.132093i
\(671\) 1671.57 9479.93i 0.0961701 0.545408i
\(672\) 10880.9 18597.5i 0.624611 1.06758i
\(673\) 8520.19 7149.29i 0.488008 0.409487i −0.365304 0.930888i \(-0.619035\pi\)
0.853312 + 0.521401i \(0.174590\pi\)
\(674\) 36868.3 2.10699
\(675\) −12556.4 + 10170.8i −0.715992 + 0.579963i
\(676\) −27336.9 −1.55535
\(677\) 26623.1 22339.4i 1.51139 1.26820i 0.650385 0.759605i \(-0.274608\pi\)
0.861003 0.508600i \(-0.169837\pi\)
\(678\) 8015.37 + 46.2622i 0.454024 + 0.00262049i
\(679\) −5897.10 + 33444.1i −0.333299 + 1.89023i
\(680\) 5758.81 2096.03i 0.324765 0.118205i
\(681\) 1565.48 + 9188.04i 0.0880898 + 0.517014i
\(682\) −4607.48 26130.3i −0.258695 1.46713i
\(683\) 3589.24 + 6216.75i 0.201081 + 0.348283i 0.948877 0.315646i \(-0.102221\pi\)
−0.747796 + 0.663929i \(0.768888\pi\)
\(684\) −4460.71 + 23695.2i −0.249356 + 1.32457i
\(685\) −294.066 + 509.338i −0.0164025 + 0.0284099i
\(686\) −32797.7 11937.4i −1.82540 0.664390i
\(687\) 1800.76 9878.85i 0.100005 0.548619i
\(688\) −1970.67 1653.59i −0.109202 0.0916317i
\(689\) −37.8352 31.7475i −0.00209203 0.00175542i
\(690\) 714.450 3919.43i 0.0394183 0.216247i
\(691\) −24197.2 8807.08i −1.33214 0.484858i −0.424810 0.905283i \(-0.639659\pi\)
−0.907328 + 0.420424i \(0.861881\pi\)
\(692\) 28584.6 49510.0i 1.57026 2.71978i
\(693\) −32601.1 28003.2i −1.78703 1.53500i
\(694\) 21243.1 + 36794.1i 1.16192 + 2.01251i
\(695\) 757.694 + 4297.09i 0.0413539 + 0.234530i
\(696\) −639.364 3752.54i −0.0348205 0.204367i
\(697\) 12801.7 4659.43i 0.695693 0.253212i
\(698\) 4783.47 27128.4i 0.259394 1.47110i
\(699\) 19084.0 + 110.147i 1.03265 + 0.00596015i
\(700\) 37443.0 31418.4i 2.02173 1.69644i
\(701\) 27202.1 1.46563 0.732817 0.680426i \(-0.238205\pi\)
0.732817 + 0.680426i \(0.238205\pi\)
\(702\) −10003.9 173.234i −0.537854 0.00931381i
\(703\) 22500.1 1.20712
\(704\) −31277.6 + 26245.0i −1.67446 + 1.40504i
\(705\) −947.466 + 1619.40i −0.0506151 + 0.0865109i
\(706\) −1280.14 + 7260.06i −0.0682421 + 0.387020i
\(707\) −3814.14 + 1388.23i −0.202893 + 0.0738471i
\(708\) −42989.3 + 35651.5i −2.28197 + 1.89247i
\(709\) −1745.24 9897.72i −0.0924453 0.524283i −0.995500 0.0947584i \(-0.969792\pi\)
0.903055 0.429525i \(-0.141319\pi\)
\(710\) 1294.63 + 2242.36i 0.0684318 + 0.118527i
\(711\) −1374.73 8359.63i −0.0725125 0.440943i
\(712\) 8485.41 14697.2i 0.446635 0.773595i
\(713\) −5334.14 1941.47i −0.280175 0.101976i
\(714\) −39957.4 33923.1i −2.09435 1.77807i
\(715\) −1908.78 1601.66i −0.0998382 0.0837742i
\(716\) 43163.8 + 36218.7i 2.25294 + 1.89044i
\(717\) 7423.18 2653.40i 0.386644 0.138205i
\(718\) 11335.1 + 4125.66i 0.589170 + 0.214440i
\(719\) −11693.7 + 20254.0i −0.606537 + 1.05055i 0.385269 + 0.922804i \(0.374109\pi\)
−0.991806 + 0.127749i \(0.959225\pi\)
\(720\) 788.029 1329.23i 0.0407890 0.0688021i
\(721\) 17740.2 + 30727.0i 0.916339 + 1.58715i
\(722\) 2226.42 + 12626.7i 0.114763 + 0.650853i
\(723\) −23733.2 8793.63i −1.22081 0.452335i
\(724\) −12751.8 + 4641.29i −0.654583 + 0.238249i
\(725\) −529.375 + 3002.23i −0.0271179 + 0.153793i
\(726\) 16760.3 + 29420.5i 0.856793 + 1.50399i
\(727\) −15563.4 + 13059.3i −0.793970 + 0.666220i −0.946725 0.322045i \(-0.895630\pi\)
0.152755 + 0.988264i \(0.451185\pi\)
\(728\) 12862.2 0.654812
\(729\) 19671.2 + 681.481i 0.999400 + 0.0346228i
\(730\) −693.140 −0.0351428
\(731\) 7624.19 6397.46i 0.385761 0.323692i
\(732\) −6601.11 11587.4i −0.333311 0.585085i
\(733\) 84.3528 478.388i 0.00425053 0.0241060i −0.982609 0.185688i \(-0.940549\pi\)
0.986859 + 0.161582i \(0.0516597\pi\)
\(734\) −34500.4 + 12557.1i −1.73492 + 0.631460i
\(735\) 8971.00 + 3323.94i 0.450204 + 0.166810i
\(736\) 1233.63 + 6996.27i 0.0617829 + 0.350388i
\(737\) 11911.3 + 20630.9i 0.595328 + 1.03114i
\(738\) 12429.2 20965.4i 0.619955 1.04573i
\(739\) −6592.06 + 11417.8i −0.328137 + 0.568349i −0.982142 0.188141i \(-0.939754\pi\)
0.654006 + 0.756490i \(0.273087\pi\)
\(740\) −14363.5 5227.90i −0.713533 0.259705i
\(741\) 4784.80 1710.31i 0.237212 0.0847908i
\(742\) −354.605 297.549i −0.0175444 0.0147215i
\(743\) 14943.7 + 12539.3i 0.737864 + 0.619141i 0.932263 0.361781i \(-0.117831\pi\)
−0.194399 + 0.980922i \(0.562276\pi\)
\(744\) −11908.8 10110.4i −0.586824 0.498204i
\(745\) 6072.70 + 2210.28i 0.298640 + 0.108696i
\(746\) −1849.86 + 3204.05i −0.0907883 + 0.157250i
\(747\) −209.862 1276.15i −0.0102790 0.0625061i
\(748\) 25644.4 + 44417.4i 1.25355 + 2.17121i
\(749\) −323.149 1832.67i −0.0157645 0.0894050i
\(750\) −14094.1 + 11688.4i −0.686191 + 0.569066i
\(751\) 20744.4 7550.33i 1.00795 0.366865i 0.215306 0.976547i \(-0.430925\pi\)
0.792646 + 0.609682i \(0.208703\pi\)
\(752\) −365.295 + 2071.69i −0.0177140 + 0.100461i
\(753\) −6705.67 + 11461.3i −0.324526 + 0.554678i
\(754\) −1446.01 + 1213.35i −0.0698418 + 0.0586042i
\(755\) 4853.13 0.233938
\(756\) −59529.6 1030.85i −2.86385 0.0495922i
\(757\) −17820.4 −0.855604 −0.427802 0.903872i \(-0.640712\pi\)
−0.427802 + 0.903872i \(0.640712\pi\)
\(758\) −8434.67 + 7077.52i −0.404170 + 0.339139i
\(759\) 14169.7 + 81.7832i 0.677639 + 0.00391112i
\(760\) −966.896 + 5483.54i −0.0461487 + 0.261722i
\(761\) 21698.4 7897.57i 1.03360