Properties

Label 43.4.e.a.4.7
Level $43$
Weight $4$
Character 43.4
Analytic conductor $2.537$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) \(=\) 43.4
Dual form 43.4.e.a.11.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.20289 - 1.50838i) q^{2} +(3.21845 + 4.03581i) q^{3} +(0.951908 + 4.17058i) q^{4} +(3.04073 + 1.46434i) q^{5} +9.95900 q^{6} -15.9770 q^{7} +(21.3417 + 10.2776i) q^{8} +(0.0787180 - 0.344886i) q^{9} +O(q^{10})\) \(q+(1.20289 - 1.50838i) q^{2} +(3.21845 + 4.03581i) q^{3} +(0.951908 + 4.17058i) q^{4} +(3.04073 + 1.46434i) q^{5} +9.95900 q^{6} -15.9770 q^{7} +(21.3417 + 10.2776i) q^{8} +(0.0787180 - 0.344886i) q^{9} +(5.86645 - 2.82513i) q^{10} +(15.5424 - 68.0956i) q^{11} +(-13.7680 + 17.2645i) q^{12} +(-7.36994 - 3.54918i) q^{13} +(-19.2187 + 24.0995i) q^{14} +(3.87665 + 16.9847i) q^{15} +(10.3408 - 4.97988i) q^{16} +(-60.7293 + 29.2457i) q^{17} +(-0.425530 - 0.533598i) q^{18} +(2.53499 + 11.1065i) q^{19} +(-3.21265 + 14.0755i) q^{20} +(-51.4214 - 64.4804i) q^{21} +(-84.0183 - 105.356i) q^{22} +(-31.2724 + 137.013i) q^{23} +(27.2087 + 119.209i) q^{24} +(-70.8345 - 88.8236i) q^{25} +(-14.2188 + 6.84739i) q^{26} +(127.217 - 61.2644i) q^{27} +(-15.2087 - 66.6336i) q^{28} +(104.008 - 130.421i) q^{29} +(30.2826 + 14.5833i) q^{30} +(-17.2487 + 21.6292i) q^{31} +(-37.2404 + 163.161i) q^{32} +(324.844 - 156.436i) q^{33} +(-28.9372 + 126.782i) q^{34} +(-48.5819 - 23.3958i) q^{35} +1.51331 q^{36} -32.5950 q^{37} +(19.8022 + 9.53624i) q^{38} +(-9.39600 - 41.1666i) q^{39} +(49.8445 + 62.5030i) q^{40} +(-140.317 + 175.953i) q^{41} -159.115 q^{42} +(279.901 - 34.0958i) q^{43} +298.793 q^{44} +(0.744390 - 0.933436i) q^{45} +(169.051 + 211.983i) q^{46} +(45.3127 + 198.528i) q^{47} +(53.3793 + 25.7061i) q^{48} -87.7339 q^{49} -219.186 q^{50} +(-313.484 - 150.966i) q^{51} +(7.78662 - 34.1154i) q^{52} +(14.3671 - 6.91882i) q^{53} +(60.6183 - 265.586i) q^{54} +(146.975 - 184.301i) q^{55} +(-340.978 - 164.206i) q^{56} +(-36.6651 + 45.9766i) q^{57} +(-71.6150 - 313.766i) q^{58} +(-408.794 + 196.865i) q^{59} +(-67.1459 + 32.3358i) q^{60} +(-12.4264 - 15.5822i) q^{61} +(11.8767 + 52.0352i) q^{62} +(-1.25768 + 5.51027i) q^{63} +(258.561 + 324.225i) q^{64} +(-17.2128 - 21.5842i) q^{65} +(154.787 - 678.164i) q^{66} +(-89.5051 - 392.147i) q^{67} +(-179.780 - 225.437i) q^{68} +(-653.609 + 314.762i) q^{69} +(-93.7286 + 45.1373i) q^{70} +(195.080 + 854.700i) q^{71} +(5.22459 - 6.55143i) q^{72} +(-868.212 - 418.109i) q^{73} +(-39.2083 + 49.1656i) q^{74} +(130.498 - 571.750i) q^{75} +(-43.9076 + 21.1448i) q^{76} +(-248.321 + 1087.97i) q^{77} +(-73.3972 - 35.3462i) q^{78} +986.472 q^{79} +38.7359 q^{80} +(648.088 + 312.103i) q^{81} +(96.6165 + 423.304i) q^{82} +(694.241 + 870.550i) q^{83} +(219.972 - 275.837i) q^{84} -227.487 q^{85} +(285.261 - 463.211i) q^{86} +861.100 q^{87} +(1031.56 - 1293.54i) q^{88} +(-6.91893 - 8.67606i) q^{89} +(-0.512554 - 2.24565i) q^{90} +(117.750 + 56.7054i) q^{91} -601.194 q^{92} -142.805 q^{93} +(353.962 + 170.459i) q^{94} +(-8.55549 + 37.4840i) q^{95} +(-778.343 + 374.830i) q^{96} +(-263.744 + 1155.54i) q^{97} +(-105.535 + 132.336i) q^{98} +(-22.2618 - 10.7207i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 9 q^{2} - 3 q^{3} - 31 q^{4} - 23 q^{5} + 16 q^{6} + 96 q^{7} + 61 q^{8} - 177 q^{9} + O(q^{10}) \) \( 60 q - 9 q^{2} - 3 q^{3} - 31 q^{4} - 23 q^{5} + 16 q^{6} + 96 q^{7} + 61 q^{8} - 177 q^{9} - 61 q^{10} + 83 q^{11} + 33 q^{12} + 107 q^{13} - 299 q^{14} + 109 q^{15} + 41 q^{16} + 181 q^{17} - 414 q^{18} + 284 q^{19} - 363 q^{20} - 88 q^{21} + 421 q^{22} + 231 q^{23} - 937 q^{24} + 213 q^{25} + 139 q^{26} - 27 q^{27} + 29 q^{28} - 367 q^{29} + 1244 q^{30} - 319 q^{31} + 435 q^{32} - 2594 q^{33} - 583 q^{34} - 902 q^{35} + 1552 q^{36} + 1020 q^{37} + 1251 q^{38} - 1571 q^{39} + 1263 q^{40} + 293 q^{41} - 1830 q^{42} + 1661 q^{43} + 6512 q^{44} + 1019 q^{45} - 2786 q^{46} - 287 q^{47} - 95 q^{48} + 772 q^{49} - 282 q^{50} + 1524 q^{51} - 1511 q^{52} - 1505 q^{53} - 3489 q^{54} - 1735 q^{55} - 1237 q^{56} + 1055 q^{57} + 335 q^{58} + 571 q^{59} - 101 q^{60} - 339 q^{61} + 923 q^{62} - 702 q^{63} - 5163 q^{64} + 2463 q^{65} + 985 q^{66} - 241 q^{67} + 2904 q^{68} + 2711 q^{69} - 7698 q^{70} - 2431 q^{71} - 4340 q^{72} - 2157 q^{73} - 1294 q^{74} - 242 q^{75} - 4272 q^{76} - 3962 q^{77} - 2860 q^{78} + 1092 q^{79} + 11618 q^{80} + 12060 q^{81} + 4023 q^{82} - 2664 q^{83} + 3334 q^{84} - 3446 q^{85} + 10055 q^{86} + 11874 q^{87} + 9957 q^{88} - 5811 q^{89} - 1612 q^{90} - 760 q^{91} + 2120 q^{92} + 3994 q^{93} + 6057 q^{94} + 379 q^{95} - 2044 q^{96} - 5509 q^{97} - 9041 q^{98} - 2012 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.20289 1.50838i 0.425287 0.533293i −0.522312 0.852754i \(-0.674930\pi\)
0.947599 + 0.319461i \(0.103502\pi\)
\(3\) 3.21845 + 4.03581i 0.619392 + 0.776693i 0.988259 0.152789i \(-0.0488256\pi\)
−0.368867 + 0.929482i \(0.620254\pi\)
\(4\) 0.951908 + 4.17058i 0.118988 + 0.521323i
\(5\) 3.04073 + 1.46434i 0.271971 + 0.130974i 0.564899 0.825160i \(-0.308915\pi\)
−0.292928 + 0.956135i \(0.594630\pi\)
\(6\) 9.95900 0.677624
\(7\) −15.9770 −0.862680 −0.431340 0.902190i \(-0.641959\pi\)
−0.431340 + 0.902190i \(0.641959\pi\)
\(8\) 21.3417 + 10.2776i 0.943180 + 0.454211i
\(9\) 0.0787180 0.344886i 0.00291548 0.0127736i
\(10\) 5.86645 2.82513i 0.185513 0.0893386i
\(11\) 15.5424 68.0956i 0.426019 1.86651i −0.0689839 0.997618i \(-0.521976\pi\)
0.495002 0.868892i \(-0.335167\pi\)
\(12\) −13.7680 + 17.2645i −0.331207 + 0.415320i
\(13\) −7.36994 3.54918i −0.157235 0.0757203i 0.353611 0.935392i \(-0.384954\pi\)
−0.510846 + 0.859672i \(0.670668\pi\)
\(14\) −19.2187 + 24.0995i −0.366886 + 0.460061i
\(15\) 3.87665 + 16.9847i 0.0667298 + 0.292362i
\(16\) 10.3408 4.97988i 0.161575 0.0778106i
\(17\) −60.7293 + 29.2457i −0.866412 + 0.417242i −0.813643 0.581365i \(-0.802519\pi\)
−0.0527690 + 0.998607i \(0.516805\pi\)
\(18\) −0.425530 0.533598i −0.00557214 0.00698724i
\(19\) 2.53499 + 11.1065i 0.0306088 + 0.134106i 0.987924 0.154941i \(-0.0495188\pi\)
−0.957315 + 0.289047i \(0.906662\pi\)
\(20\) −3.21265 + 14.0755i −0.0359185 + 0.157369i
\(21\) −51.4214 64.4804i −0.534337 0.670037i
\(22\) −84.0183 105.356i −0.814216 1.02100i
\(23\) −31.2724 + 137.013i −0.283511 + 1.24214i 0.609747 + 0.792596i \(0.291271\pi\)
−0.893257 + 0.449546i \(0.851586\pi\)
\(24\) 27.2087 + 119.209i 0.231415 + 1.01390i
\(25\) −70.8345 88.8236i −0.566676 0.710589i
\(26\) −14.2188 + 6.84739i −0.107251 + 0.0516494i
\(27\) 127.217 61.2644i 0.906774 0.436679i
\(28\) −15.2087 66.6336i −0.102649 0.449734i
\(29\) 104.008 130.421i 0.665990 0.835125i −0.327990 0.944681i \(-0.606371\pi\)
0.993981 + 0.109556i \(0.0349428\pi\)
\(30\) 30.2826 + 14.5833i 0.184294 + 0.0887514i
\(31\) −17.2487 + 21.6292i −0.0999341 + 0.125313i −0.829284 0.558828i \(-0.811251\pi\)
0.729350 + 0.684141i \(0.239823\pi\)
\(32\) −37.2404 + 163.161i −0.205726 + 0.901345i
\(33\) 324.844 156.436i 1.71358 0.825215i
\(34\) −28.9372 + 126.782i −0.145962 + 0.639499i
\(35\) −48.5819 23.3958i −0.234624 0.112989i
\(36\) 1.51331 0.00700606
\(37\) −32.5950 −0.144827 −0.0724133 0.997375i \(-0.523070\pi\)
−0.0724133 + 0.997375i \(0.523070\pi\)
\(38\) 19.8022 + 9.53624i 0.0845353 + 0.0407101i
\(39\) −9.39600 41.1666i −0.0385786 0.169024i
\(40\) 49.8445 + 62.5030i 0.197028 + 0.247065i
\(41\) −140.317 + 175.953i −0.534486 + 0.670224i −0.973614 0.228200i \(-0.926716\pi\)
0.439129 + 0.898424i \(0.355287\pi\)
\(42\) −159.115 −0.584573
\(43\) 279.901 34.0958i 0.992662 0.120920i
\(44\) 298.793 1.02374
\(45\) 0.744390 0.933436i 0.00246594 0.00309219i
\(46\) 169.051 + 211.983i 0.541852 + 0.679461i
\(47\) 45.3127 + 198.528i 0.140628 + 0.616133i 0.995290 + 0.0969471i \(0.0309078\pi\)
−0.854661 + 0.519186i \(0.826235\pi\)
\(48\) 53.3793 + 25.7061i 0.160513 + 0.0772992i
\(49\) −87.7339 −0.255784
\(50\) −219.186 −0.619952
\(51\) −313.484 150.966i −0.860718 0.414500i
\(52\) 7.78662 34.1154i 0.0207656 0.0909799i
\(53\) 14.3671 6.91882i 0.0372353 0.0179316i −0.415173 0.909742i \(-0.636279\pi\)
0.452409 + 0.891811i \(0.350565\pi\)
\(54\) 60.6183 265.586i 0.152761 0.669290i
\(55\) 146.975 184.301i 0.360330 0.451839i
\(56\) −340.978 164.206i −0.813662 0.391839i
\(57\) −36.6651 + 45.9766i −0.0852003 + 0.106838i
\(58\) −71.6150 313.766i −0.162130 0.710336i
\(59\) −408.794 + 196.865i −0.902042 + 0.434401i −0.826626 0.562752i \(-0.809743\pi\)
−0.0754161 + 0.997152i \(0.524029\pi\)
\(60\) −67.1459 + 32.3358i −0.144475 + 0.0695755i
\(61\) −12.4264 15.5822i −0.0260826 0.0327065i 0.768619 0.639707i \(-0.220944\pi\)
−0.794702 + 0.607000i \(0.792373\pi\)
\(62\) 11.8767 + 52.0352i 0.0243281 + 0.106588i
\(63\) −1.25768 + 5.51027i −0.00251513 + 0.0110195i
\(64\) 258.561 + 324.225i 0.505002 + 0.633252i
\(65\) −17.2128 21.5842i −0.0328459 0.0411875i
\(66\) 154.787 678.164i 0.288681 1.26479i
\(67\) −89.5051 392.147i −0.163206 0.715051i −0.988609 0.150507i \(-0.951909\pi\)
0.825403 0.564544i \(-0.190948\pi\)
\(68\) −179.780 225.437i −0.320611 0.402033i
\(69\) −653.609 + 314.762i −1.14037 + 0.549172i
\(70\) −93.7286 + 45.1373i −0.160039 + 0.0770706i
\(71\) 195.080 + 854.700i 0.326080 + 1.42865i 0.826534 + 0.562887i \(0.190309\pi\)
−0.500454 + 0.865763i \(0.666833\pi\)
\(72\) 5.22459 6.55143i 0.00855172 0.0107235i
\(73\) −868.212 418.109i −1.39201 0.670355i −0.420484 0.907300i \(-0.638140\pi\)
−0.971523 + 0.236944i \(0.923854\pi\)
\(74\) −39.2083 + 49.1656i −0.0615928 + 0.0772350i
\(75\) 130.498 571.750i 0.200915 0.880266i
\(76\) −43.9076 + 21.1448i −0.0662704 + 0.0319141i
\(77\) −248.321 + 1087.97i −0.367518 + 1.61020i
\(78\) −73.3972 35.3462i −0.106546 0.0513099i
\(79\) 986.472 1.40490 0.702448 0.711735i \(-0.252090\pi\)
0.702448 + 0.711735i \(0.252090\pi\)
\(80\) 38.7359 0.0541350
\(81\) 648.088 + 312.103i 0.889010 + 0.428124i
\(82\) 96.6165 + 423.304i 0.130116 + 0.570075i
\(83\) 694.241 + 870.550i 0.918106 + 1.15127i 0.988114 + 0.153722i \(0.0491261\pi\)
−0.0700081 + 0.997546i \(0.522303\pi\)
\(84\) 219.972 275.837i 0.285726 0.358288i
\(85\) −227.487 −0.290287
\(86\) 285.261 463.211i 0.357681 0.580806i
\(87\) 861.100 1.06114
\(88\) 1031.56 1293.54i 1.24960 1.56695i
\(89\) −6.91893 8.67606i −0.00824051 0.0103333i 0.777694 0.628643i \(-0.216389\pi\)
−0.785935 + 0.618310i \(0.787818\pi\)
\(90\) −0.512554 2.24565i −0.000600311 0.00263013i
\(91\) 117.750 + 56.7054i 0.135643 + 0.0653224i
\(92\) −601.194 −0.681291
\(93\) −142.805 −0.159228
\(94\) 353.962 + 170.459i 0.388387 + 0.187037i
\(95\) −8.55549 + 37.4840i −0.00923973 + 0.0404819i
\(96\) −778.343 + 374.830i −0.827493 + 0.398500i
\(97\) −263.744 + 1155.54i −0.276073 + 1.20956i 0.626638 + 0.779310i \(0.284430\pi\)
−0.902712 + 0.430246i \(0.858427\pi\)
\(98\) −105.535 + 132.336i −0.108782 + 0.136408i
\(99\) −22.2618 10.7207i −0.0225999 0.0108836i
\(100\) 303.018 379.973i 0.303018 0.379973i
\(101\) −222.611 975.321i −0.219313 0.960872i −0.957987 0.286810i \(-0.907405\pi\)
0.738675 0.674062i \(-0.235452\pi\)
\(102\) −604.803 + 291.258i −0.587102 + 0.282733i
\(103\) 1136.27 547.200i 1.08699 0.523468i 0.197447 0.980314i \(-0.436735\pi\)
0.889546 + 0.456845i \(0.151021\pi\)
\(104\) −120.810 151.491i −0.113908 0.142836i
\(105\) −61.9375 271.366i −0.0575664 0.252215i
\(106\) 6.84585 29.9936i 0.00627291 0.0274834i
\(107\) −679.229 851.726i −0.613678 0.769527i 0.373762 0.927525i \(-0.378068\pi\)
−0.987440 + 0.157997i \(0.949496\pi\)
\(108\) 376.607 + 472.250i 0.335547 + 0.420762i
\(109\) −235.836 + 1033.26i −0.207238 + 0.907971i 0.759156 + 0.650908i \(0.225612\pi\)
−0.966395 + 0.257062i \(0.917245\pi\)
\(110\) −101.201 443.389i −0.0877191 0.384323i
\(111\) −104.905 131.547i −0.0897044 0.112486i
\(112\) −165.216 + 79.5638i −0.139388 + 0.0671256i
\(113\) −666.540 + 320.989i −0.554892 + 0.267222i −0.690245 0.723575i \(-0.742497\pi\)
0.135353 + 0.990797i \(0.456783\pi\)
\(114\) 25.2460 + 110.610i 0.0207413 + 0.0908735i
\(115\) −295.725 + 370.827i −0.239795 + 0.300694i
\(116\) 642.938 + 309.623i 0.514615 + 0.247825i
\(117\) −1.80421 + 2.26241i −0.00142563 + 0.00178769i
\(118\) −194.789 + 853.425i −0.151964 + 0.665798i
\(119\) 970.274 467.259i 0.747436 0.359946i
\(120\) −91.8283 + 402.326i −0.0698561 + 0.306060i
\(121\) −3196.26 1539.24i −2.40140 1.15645i
\(122\) −38.4516 −0.0285348
\(123\) −1161.72 −0.851614
\(124\) −106.625 51.3481i −0.0772197 0.0371870i
\(125\) −179.195 785.106i −0.128222 0.561776i
\(126\) 6.79872 + 8.52533i 0.00480697 + 0.00602775i
\(127\) 1257.68 1577.08i 0.878750 1.10192i −0.115337 0.993326i \(-0.536795\pi\)
0.994086 0.108591i \(-0.0346339\pi\)
\(128\) −538.778 −0.372045
\(129\) 1038.45 + 1019.89i 0.708765 + 0.696097i
\(130\) −53.2623 −0.0359339
\(131\) 1259.69 1579.60i 0.840149 1.05351i −0.157669 0.987492i \(-0.550398\pi\)
0.997818 0.0660214i \(-0.0210306\pi\)
\(132\) 961.652 + 1205.87i 0.634099 + 0.795135i
\(133\) −40.5017 177.450i −0.0264056 0.115691i
\(134\) −699.173 336.704i −0.450741 0.217066i
\(135\) 476.544 0.303810
\(136\) −1596.64 −1.00670
\(137\) 1503.44 + 724.019i 0.937574 + 0.451512i 0.839313 0.543649i \(-0.182958\pi\)
0.0982613 + 0.995161i \(0.468672\pi\)
\(138\) −311.442 + 1364.52i −0.192114 + 0.841706i
\(139\) −922.713 + 444.355i −0.563047 + 0.271149i −0.693682 0.720281i \(-0.744013\pi\)
0.130635 + 0.991431i \(0.458298\pi\)
\(140\) 51.3286 224.885i 0.0309861 0.135759i
\(141\) −655.385 + 821.826i −0.391442 + 0.490853i
\(142\) 1523.87 + 733.858i 0.900567 + 0.433690i
\(143\) −356.230 + 446.698i −0.208318 + 0.261222i
\(144\) −0.903482 3.95841i −0.000522849 0.00229075i
\(145\) 507.240 244.274i 0.290510 0.139902i
\(146\) −1675.03 + 806.654i −0.949499 + 0.457254i
\(147\) −282.367 354.078i −0.158430 0.198666i
\(148\) −31.0274 135.940i −0.0172327 0.0755013i
\(149\) 195.550 856.759i 0.107517 0.471063i −0.892291 0.451461i \(-0.850903\pi\)
0.999808 0.0196020i \(-0.00623991\pi\)
\(150\) −705.441 884.595i −0.383993 0.481512i
\(151\) −1957.42 2454.53i −1.05492 1.32283i −0.944345 0.328958i \(-0.893303\pi\)
−0.110573 0.993868i \(-0.535269\pi\)
\(152\) −60.0477 + 263.086i −0.0320429 + 0.140389i
\(153\) 5.30594 + 23.2468i 0.00280366 + 0.0122836i
\(154\) 1342.36 + 1683.27i 0.702408 + 0.880792i
\(155\) −84.1210 + 40.5105i −0.0435920 + 0.0209928i
\(156\) 162.744 78.3735i 0.0835255 0.0402238i
\(157\) 614.155 + 2690.79i 0.312197 + 1.36782i 0.850900 + 0.525328i \(0.176057\pi\)
−0.538703 + 0.842496i \(0.681086\pi\)
\(158\) 1186.62 1487.98i 0.597484 0.749221i
\(159\) 74.1629 + 35.7150i 0.0369906 + 0.0178137i
\(160\) −352.161 + 441.595i −0.174005 + 0.218195i
\(161\) 499.641 2189.07i 0.244579 1.07157i
\(162\) 1250.35 602.137i 0.606400 0.292027i
\(163\) −358.641 + 1571.31i −0.172337 + 0.755058i 0.812695 + 0.582689i \(0.197999\pi\)
−0.985032 + 0.172369i \(0.944858\pi\)
\(164\) −867.394 417.715i −0.413000 0.198891i
\(165\) 1216.84 0.574125
\(166\) 2148.22 1.00442
\(167\) 3728.00 + 1795.31i 1.72743 + 0.831888i 0.987190 + 0.159550i \(0.0510044\pi\)
0.740244 + 0.672338i \(0.234710\pi\)
\(168\) −434.715 1904.61i −0.199637 0.874667i
\(169\) −1328.09 1665.37i −0.604501 0.758020i
\(170\) −273.642 + 343.137i −0.123455 + 0.154808i
\(171\) 4.03004 0.00180225
\(172\) 408.639 + 1134.89i 0.181154 + 0.503109i
\(173\) 2407.99 1.05825 0.529123 0.848545i \(-0.322521\pi\)
0.529123 + 0.848545i \(0.322521\pi\)
\(174\) 1035.81 1298.87i 0.451291 0.565901i
\(175\) 1131.73 + 1419.14i 0.488860 + 0.613011i
\(176\) −178.387 781.564i −0.0764001 0.334731i
\(177\) −2110.20 1016.22i −0.896113 0.431545i
\(178\) −21.4095 −0.00901524
\(179\) 466.200 0.194667 0.0973335 0.995252i \(-0.468969\pi\)
0.0973335 + 0.995252i \(0.468969\pi\)
\(180\) 4.60156 + 2.21599i 0.00190544 + 0.000917614i
\(181\) 436.585 1912.81i 0.179288 0.785512i −0.802671 0.596421i \(-0.796589\pi\)
0.981960 0.189091i \(-0.0605541\pi\)
\(182\) 227.174 109.401i 0.0925233 0.0445569i
\(183\) 22.8931 100.301i 0.00924759 0.0405163i
\(184\) −2075.58 + 2602.70i −0.831597 + 1.04279i
\(185\) −99.1125 47.7301i −0.0393886 0.0189686i
\(186\) −171.780 + 215.405i −0.0677178 + 0.0849154i
\(187\) 1047.62 + 4589.94i 0.409679 + 1.79492i
\(188\) −784.843 + 377.960i −0.304471 + 0.146626i
\(189\) −2032.55 + 978.825i −0.782256 + 0.376714i
\(190\) 46.2489 + 57.9942i 0.0176592 + 0.0221439i
\(191\) −256.758 1124.93i −0.0972688 0.426163i 0.902723 0.430222i \(-0.141565\pi\)
−0.999992 + 0.00405977i \(0.998708\pi\)
\(192\) −476.346 + 2087.01i −0.179049 + 0.784463i
\(193\) −928.072 1163.77i −0.346135 0.434040i 0.578040 0.816008i \(-0.303818\pi\)
−0.924175 + 0.381969i \(0.875246\pi\)
\(194\) 1425.73 + 1787.81i 0.527638 + 0.661637i
\(195\) 31.7111 138.935i 0.0116455 0.0510224i
\(196\) −83.5146 365.901i −0.0304353 0.133346i
\(197\) −745.197 934.448i −0.269508 0.337953i 0.628599 0.777730i \(-0.283629\pi\)
−0.898107 + 0.439777i \(0.855057\pi\)
\(198\) −42.9495 + 20.6834i −0.0154156 + 0.00742375i
\(199\) −4212.93 + 2028.84i −1.50074 + 0.722717i −0.990525 0.137331i \(-0.956148\pi\)
−0.510213 + 0.860048i \(0.670433\pi\)
\(200\) −598.833 2623.66i −0.211719 0.927604i
\(201\) 1294.57 1623.33i 0.454287 0.569658i
\(202\) −1738.93 837.426i −0.605698 0.291689i
\(203\) −1661.73 + 2083.75i −0.574536 + 0.720446i
\(204\) 331.208 1451.12i 0.113673 0.498032i
\(205\) −684.321 + 329.552i −0.233147 + 0.112278i
\(206\) 541.429 2372.16i 0.183122 0.802310i
\(207\) 44.7923 + 21.5709i 0.0150400 + 0.00724289i
\(208\) −93.8857 −0.0312971
\(209\) 795.706 0.263350
\(210\) −483.827 232.999i −0.158987 0.0765640i
\(211\) −538.865 2360.92i −0.175815 0.770297i −0.983533 0.180728i \(-0.942155\pi\)
0.807718 0.589569i \(-0.200702\pi\)
\(212\) 42.5317 + 53.3330i 0.0137787 + 0.0172780i
\(213\) −2821.55 + 3538.12i −0.907651 + 1.13816i
\(214\) −2101.77 −0.671373
\(215\) 901.030 + 306.193i 0.285813 + 0.0971266i
\(216\) 3344.68 1.05360
\(217\) 275.583 345.570i 0.0862111 0.108105i
\(218\) 1274.87 + 1598.64i 0.396079 + 0.496667i
\(219\) −1106.89 4849.61i −0.341538 1.49637i
\(220\) 908.549 + 437.534i 0.278429 + 0.134084i
\(221\) 551.369 0.167824
\(222\) −324.613 −0.0981380
\(223\) −4411.82 2124.62i −1.32483 0.638005i −0.368320 0.929699i \(-0.620067\pi\)
−0.956512 + 0.291694i \(0.905781\pi\)
\(224\) 594.992 2606.83i 0.177476 0.777572i
\(225\) −36.2100 + 17.4378i −0.0107289 + 0.00516676i
\(226\) −317.604 + 1391.51i −0.0934809 + 0.409566i
\(227\) 2489.98 3122.34i 0.728043 0.912937i −0.270720 0.962658i \(-0.587262\pi\)
0.998763 + 0.0497210i \(0.0158332\pi\)
\(228\) −226.651 109.149i −0.0658348 0.0317044i
\(229\) 2165.51 2715.46i 0.624894 0.783592i −0.364130 0.931348i \(-0.618634\pi\)
0.989024 + 0.147756i \(0.0472051\pi\)
\(230\) 203.623 + 892.131i 0.0583761 + 0.255763i
\(231\) −5190.04 + 2499.39i −1.47827 + 0.711896i
\(232\) 3560.12 1714.46i 1.00747 0.485173i
\(233\) −1323.62 1659.77i −0.372161 0.466675i 0.560119 0.828412i \(-0.310755\pi\)
−0.932280 + 0.361737i \(0.882184\pi\)
\(234\) 1.24230 + 5.44287i 0.000347058 + 0.00152056i
\(235\) −152.928 + 670.022i −0.0424508 + 0.185989i
\(236\) −1210.18 1517.51i −0.333795 0.418566i
\(237\) 3174.92 + 3981.22i 0.870181 + 1.09117i
\(238\) 462.331 2025.61i 0.125918 0.551683i
\(239\) 1500.27 + 6573.12i 0.406044 + 1.77900i 0.602118 + 0.798407i \(0.294324\pi\)
−0.196074 + 0.980589i \(0.562819\pi\)
\(240\) 124.670 + 156.331i 0.0335308 + 0.0420463i
\(241\) 4503.92 2168.97i 1.20383 0.579734i 0.279065 0.960272i \(-0.409975\pi\)
0.924765 + 0.380538i \(0.124261\pi\)
\(242\) −6166.51 + 2969.64i −1.63801 + 0.788824i
\(243\) −22.0862 96.7662i −0.00583059 0.0255455i
\(244\) 53.1581 66.6582i 0.0139471 0.0174891i
\(245\) −266.775 128.472i −0.0695658 0.0335011i
\(246\) −1397.42 + 1752.31i −0.362180 + 0.454160i
\(247\) 20.7363 90.8516i 0.00534178 0.0234038i
\(248\) −590.413 + 284.328i −0.151175 + 0.0728018i
\(249\) −1279.00 + 5603.65i −0.325515 + 1.42617i
\(250\) −1399.79 674.104i −0.354123 0.170536i
\(251\) 4848.72 1.21932 0.609658 0.792665i \(-0.291307\pi\)
0.609658 + 0.792665i \(0.291307\pi\)
\(252\) −24.1782 −0.00604398
\(253\) 8843.97 + 4259.03i 2.19769 + 1.05835i
\(254\) −865.985 3794.13i −0.213924 0.937263i
\(255\) −732.156 918.094i −0.179801 0.225464i
\(256\) −2716.58 + 3406.48i −0.663228 + 0.831661i
\(257\) −501.910 −0.121822 −0.0609111 0.998143i \(-0.519401\pi\)
−0.0609111 + 0.998143i \(0.519401\pi\)
\(258\) 2787.53 339.560i 0.672652 0.0819383i
\(259\) 520.772 0.124939
\(260\) 73.6335 92.3335i 0.0175637 0.0220241i
\(261\) −36.7933 46.1373i −0.00872585 0.0109419i
\(262\) −867.366 3800.18i −0.204527 0.896091i
\(263\) −1774.26 854.438i −0.415991 0.200331i 0.214168 0.976797i \(-0.431296\pi\)
−0.630159 + 0.776466i \(0.717010\pi\)
\(264\) 8540.52 1.99103
\(265\) 53.8179 0.0124755
\(266\) −316.381 152.361i −0.0729269 0.0351197i
\(267\) 12.7467 55.8470i 0.00292167 0.0128007i
\(268\) 1550.28 746.577i 0.353353 0.170166i
\(269\) −854.306 + 3742.96i −0.193635 + 0.848372i 0.780992 + 0.624541i \(0.214714\pi\)
−0.974628 + 0.223832i \(0.928143\pi\)
\(270\) 573.231 718.810i 0.129207 0.162020i
\(271\) 5801.45 + 2793.83i 1.30042 + 0.626248i 0.950556 0.310553i \(-0.100514\pi\)
0.349862 + 0.936801i \(0.386229\pi\)
\(272\) −482.351 + 604.849i −0.107525 + 0.134832i
\(273\) 150.120 + 657.720i 0.0332809 + 0.145813i
\(274\) 2900.58 1396.84i 0.639526 0.307980i
\(275\) −7149.44 + 3442.99i −1.56774 + 0.754982i
\(276\) −1934.92 2426.31i −0.421986 0.529154i
\(277\) −512.942 2247.35i −0.111262 0.487473i −0.999600 0.0282816i \(-0.990996\pi\)
0.888338 0.459191i \(-0.151861\pi\)
\(278\) −439.669 + 1926.31i −0.0948546 + 0.415585i
\(279\) 6.10182 + 7.65144i 0.00130934 + 0.00164186i
\(280\) −796.367 998.613i −0.169972 0.213138i
\(281\) 1685.80 7385.95i 0.357887 1.56800i −0.400561 0.916270i \(-0.631185\pi\)
0.758448 0.651734i \(-0.225958\pi\)
\(282\) 451.269 + 1977.14i 0.0952932 + 0.417507i
\(283\) 1364.29 + 1710.77i 0.286567 + 0.359344i 0.904190 0.427130i \(-0.140475\pi\)
−0.617623 + 0.786475i \(0.711904\pi\)
\(284\) −3378.90 + 1627.19i −0.705988 + 0.339986i
\(285\) −178.814 + 86.1123i −0.0371650 + 0.0178977i
\(286\) 245.284 + 1074.66i 0.0507131 + 0.222189i
\(287\) 2241.86 2811.20i 0.461090 0.578188i
\(288\) 53.3404 + 25.6874i 0.0109136 + 0.00525571i
\(289\) −230.472 + 289.003i −0.0469107 + 0.0588242i
\(290\) 241.697 1058.95i 0.0489413 0.214426i
\(291\) −5512.38 + 2654.62i −1.11045 + 0.534765i
\(292\) 917.299 4018.95i 0.183839 0.805450i
\(293\) 6847.19 + 3297.43i 1.36525 + 0.657468i 0.965800 0.259289i \(-0.0834883\pi\)
0.399446 + 0.916757i \(0.369203\pi\)
\(294\) −873.742 −0.173325
\(295\) −1531.31 −0.302225
\(296\) −695.633 334.999i −0.136597 0.0657819i
\(297\) −2194.59 9615.11i −0.428764 1.87854i
\(298\) −1057.09 1325.55i −0.205489 0.257675i
\(299\) 716.760 898.789i 0.138633 0.173841i
\(300\) 2508.75 0.482809
\(301\) −4471.99 + 544.750i −0.856349 + 0.104315i
\(302\) −6056.93 −1.15410
\(303\) 3219.75 4037.44i 0.610462 0.765495i
\(304\) 81.5231 + 102.227i 0.0153805 + 0.0192865i
\(305\) −14.9677 65.5778i −0.00280999 0.0123114i
\(306\) 41.4476 + 19.9601i 0.00774314 + 0.00372890i
\(307\) −1884.59 −0.350355 −0.175178 0.984537i \(-0.556050\pi\)
−0.175178 + 0.984537i \(0.556050\pi\)
\(308\) −4773.83 −0.883164
\(309\) 5865.44 + 2824.65i 1.07985 + 0.520028i
\(310\) −40.0833 + 175.616i −0.00734380 + 0.0321753i
\(311\) −4696.01 + 2261.48i −0.856226 + 0.412337i −0.809885 0.586589i \(-0.800470\pi\)
−0.0463413 + 0.998926i \(0.514756\pi\)
\(312\) 222.568 975.134i 0.0403860 0.176943i
\(313\) −4747.92 + 5953.71i −0.857407 + 1.07515i 0.138986 + 0.990294i \(0.455616\pi\)
−0.996393 + 0.0848603i \(0.972956\pi\)
\(314\) 4797.50 + 2310.35i 0.862224 + 0.415225i
\(315\) −11.8932 + 14.9136i −0.00212731 + 0.00266757i
\(316\) 939.030 + 4114.16i 0.167166 + 0.732404i
\(317\) −5092.30 + 2452.32i −0.902246 + 0.434499i −0.826700 0.562644i \(-0.809784\pi\)
−0.0755462 + 0.997142i \(0.524070\pi\)
\(318\) 143.082 68.9046i 0.0252315 0.0121509i
\(319\) −7264.60 9109.52i −1.27505 1.59886i
\(320\) 311.439 + 1364.50i 0.0544061 + 0.238369i
\(321\) 1251.34 5482.48i 0.217579 0.953278i
\(322\) −2700.94 3386.87i −0.467445 0.586157i
\(323\) −478.766 600.354i −0.0824745 0.103420i
\(324\) −684.730 + 3000.00i −0.117409 + 0.514403i
\(325\) 206.795 + 906.029i 0.0352952 + 0.154638i
\(326\) 1938.73 + 2431.08i 0.329374 + 0.413022i
\(327\) −4929.09 + 2373.73i −0.833576 + 0.401429i
\(328\) −4802.99 + 2313.00i −0.808539 + 0.389372i
\(329\) −723.963 3171.89i −0.121317 0.531526i
\(330\) 1463.73 1835.45i 0.244168 0.306177i
\(331\) 2876.06 + 1385.04i 0.477590 + 0.229995i 0.657162 0.753750i \(-0.271757\pi\)
−0.179572 + 0.983745i \(0.557471\pi\)
\(332\) −2969.85 + 3724.07i −0.490938 + 0.615617i
\(333\) −2.56581 + 11.2416i −0.000422239 + 0.00184995i
\(334\) 7192.40 3463.68i 1.17830 0.567437i
\(335\) 302.076 1323.48i 0.0492661 0.215849i
\(336\) −852.844 410.708i −0.138472 0.0666844i
\(337\) 409.642 0.0662155 0.0331077 0.999452i \(-0.489460\pi\)
0.0331077 + 0.999452i \(0.489460\pi\)
\(338\) −4109.56 −0.661333
\(339\) −3440.68 1656.94i −0.551245 0.265466i
\(340\) −216.546 948.752i −0.0345408 0.151333i
\(341\) 1204.77 + 1510.73i 0.191325 + 0.239914i
\(342\) 4.84771 6.07884i 0.000766474 0.000961128i
\(343\) 6881.86 1.08334
\(344\) 6323.99 + 2149.05i 0.991182 + 0.336829i
\(345\) −2448.37 −0.382074
\(346\) 2896.56 3632.17i 0.450058 0.564355i
\(347\) 2494.27 + 3127.71i 0.385877 + 0.483875i 0.936395 0.350949i \(-0.114141\pi\)
−0.550517 + 0.834824i \(0.685570\pi\)
\(348\) 819.688 + 3591.29i 0.126264 + 0.553199i
\(349\) −2865.71 1380.05i −0.439536 0.211669i 0.201010 0.979589i \(-0.435578\pi\)
−0.640546 + 0.767920i \(0.721292\pi\)
\(350\) 3501.95 0.534820
\(351\) −1155.02 −0.175642
\(352\) 10531.7 + 5071.82i 1.59473 + 0.767979i
\(353\) −1303.40 + 5710.57i −0.196524 + 0.861028i 0.776462 + 0.630164i \(0.217012\pi\)
−0.972986 + 0.230864i \(0.925845\pi\)
\(354\) −4071.18 + 1960.58i −0.611246 + 0.294360i
\(355\) −658.385 + 2884.57i −0.0984322 + 0.431260i
\(356\) 29.5980 37.1148i 0.00440644 0.00552550i
\(357\) 5008.56 + 2411.99i 0.742524 + 0.357580i
\(358\) 560.789 703.207i 0.0827894 0.103815i
\(359\) 1021.98 + 4477.60i 0.150246 + 0.658270i 0.992813 + 0.119678i \(0.0381863\pi\)
−0.842567 + 0.538592i \(0.818957\pi\)
\(360\) 25.4801 12.2706i 0.00373033 0.00179643i
\(361\) 6062.82 2919.70i 0.883921 0.425674i
\(362\) −2360.07 2959.44i −0.342659 0.429681i
\(363\) −4074.94 17853.5i −0.589198 2.58144i
\(364\) −124.407 + 545.064i −0.0179140 + 0.0784865i
\(365\) −2027.74 2542.71i −0.290786 0.364635i
\(366\) −123.755 155.183i −0.0176742 0.0221627i
\(367\) 934.940 4096.24i 0.132979 0.582621i −0.863899 0.503666i \(-0.831984\pi\)
0.996878 0.0789554i \(-0.0251585\pi\)
\(368\) 358.928 + 1572.56i 0.0508435 + 0.222760i
\(369\) 49.6381 + 62.2442i 0.00700286 + 0.00878131i
\(370\) −191.217 + 92.0852i −0.0268673 + 0.0129386i
\(371\) −229.544 + 110.542i −0.0321221 + 0.0154692i
\(372\) −135.938 595.582i −0.0189463 0.0830093i
\(373\) 2637.53 3307.36i 0.366129 0.459112i −0.564307 0.825565i \(-0.690857\pi\)
0.930436 + 0.366453i \(0.119428\pi\)
\(374\) 8183.56 + 3941.00i 1.13145 + 0.544877i
\(375\) 2591.81 3250.03i 0.356908 0.447549i
\(376\) −1073.35 + 4702.63i −0.147217 + 0.644999i
\(377\) −1229.42 + 592.056i −0.167953 + 0.0808818i
\(378\) −968.501 + 4243.28i −0.131784 + 0.577383i
\(379\) −1601.37 771.177i −0.217036 0.104519i 0.322207 0.946669i \(-0.395575\pi\)
−0.539243 + 0.842150i \(0.681290\pi\)
\(380\) −164.474 −0.0222036
\(381\) 10412.6 1.40014
\(382\) −2005.67 965.882i −0.268637 0.129369i
\(383\) 1370.12 + 6002.87i 0.182793 + 0.800868i 0.980293 + 0.197549i \(0.0632983\pi\)
−0.797500 + 0.603319i \(0.793845\pi\)
\(384\) −1734.03 2174.41i −0.230441 0.288964i
\(385\) −2348.23 + 2944.59i −0.310849 + 0.389792i
\(386\) −2871.77 −0.378677
\(387\) 10.2741 99.2179i 0.00134951 0.0130324i
\(388\) −5070.32 −0.663419
\(389\) −995.079 + 1247.79i −0.129698 + 0.162636i −0.842440 0.538790i \(-0.818882\pi\)
0.712742 + 0.701426i \(0.247453\pi\)
\(390\) −171.422 214.957i −0.0222572 0.0279096i
\(391\) −2107.90 9235.30i −0.272637 1.19450i
\(392\) −1872.39 901.696i −0.241250 0.116180i
\(393\) 10429.2 1.33864
\(394\) −2305.90 −0.294846
\(395\) 2999.59 + 1444.53i 0.382091 + 0.184005i
\(396\) 23.5204 103.050i 0.00298471 0.0130769i
\(397\) −5956.92 + 2868.70i −0.753071 + 0.362660i −0.770711 0.637184i \(-0.780099\pi\)
0.0176401 + 0.999844i \(0.494385\pi\)
\(398\) −2007.44 + 8795.19i −0.252824 + 1.10770i
\(399\) 585.801 734.571i 0.0735006 0.0921668i
\(400\) −1174.82 565.762i −0.146852 0.0707203i
\(401\) 1576.89 1977.36i 0.196375 0.246246i −0.673888 0.738833i \(-0.735377\pi\)
0.870263 + 0.492587i \(0.163949\pi\)
\(402\) −891.381 3905.40i −0.110592 0.484536i
\(403\) 203.888 98.1871i 0.0252019 0.0121366i
\(404\) 3855.75 1856.83i 0.474829 0.228666i
\(405\) 1513.64 + 1898.04i 0.185712 + 0.232875i
\(406\) 1144.20 + 5013.05i 0.139866 + 0.612792i
\(407\) −506.604 + 2219.58i −0.0616988 + 0.270320i
\(408\) −5138.72 6443.75i −0.623541 0.781895i
\(409\) −6746.95 8460.40i −0.815685 1.02284i −0.999207 0.0398208i \(-0.987321\pi\)
0.183522 0.983016i \(-0.441250\pi\)
\(410\) −326.076 + 1428.63i −0.0392774 + 0.172086i
\(411\) 1916.75 + 8397.83i 0.230040 + 1.00787i
\(412\) 3363.77 + 4218.03i 0.402236 + 0.504388i
\(413\) 6531.33 3145.32i 0.778173 0.374749i
\(414\) 86.4175 41.6165i 0.0102589 0.00494043i
\(415\) 836.218 + 3663.71i 0.0989116 + 0.433360i
\(416\) 853.546 1070.31i 0.100597 0.126145i
\(417\) −4763.05 2293.76i −0.559346 0.269367i
\(418\) 957.150 1200.23i 0.111999 0.140443i
\(419\) 996.695 4366.81i 0.116209 0.509147i −0.882999 0.469374i \(-0.844480\pi\)
0.999209 0.0397725i \(-0.0126633\pi\)
\(420\) 1072.79 516.630i 0.124636 0.0600214i
\(421\) −1647.01 + 7216.00i −0.190665 + 0.835360i 0.785592 + 0.618745i \(0.212359\pi\)
−0.976257 + 0.216615i \(0.930498\pi\)
\(422\) −4209.37 2027.13i −0.485566 0.233836i
\(423\) 72.0365 0.00828022
\(424\) 377.727 0.0432643
\(425\) 6899.43 + 3322.59i 0.787463 + 0.379222i
\(426\) 1942.80 + 8511.95i 0.220960 + 0.968088i
\(427\) 198.537 + 248.958i 0.0225009 + 0.0282153i
\(428\) 2905.63 3643.54i 0.328151 0.411489i
\(429\) −2949.30 −0.331920
\(430\) 1545.70 990.779i 0.173349 0.111115i
\(431\) −8995.30 −1.00531 −0.502655 0.864487i \(-0.667643\pi\)
−0.502655 + 0.864487i \(0.667643\pi\)
\(432\) 1010.44 1267.05i 0.112534 0.141113i
\(433\) −2144.19 2688.73i −0.237975 0.298411i 0.648475 0.761236i \(-0.275407\pi\)
−0.886450 + 0.462825i \(0.846836\pi\)
\(434\) −189.755 831.369i −0.0209873 0.0919516i
\(435\) 2618.37 + 1260.94i 0.288601 + 0.138983i
\(436\) −4533.81 −0.498005
\(437\) −1601.02 −0.175257
\(438\) −8646.53 4163.95i −0.943258 0.454249i
\(439\) −777.877 + 3408.10i −0.0845696 + 0.370524i −0.999449 0.0332046i \(-0.989429\pi\)
0.914879 + 0.403728i \(0.132286\pi\)
\(440\) 5030.88 2422.74i 0.545086 0.262500i
\(441\) −6.90624 + 30.2582i −0.000745734 + 0.00326727i
\(442\) 663.238 831.674i 0.0713733 0.0894993i
\(443\) −6170.12 2971.37i −0.661740 0.318677i 0.0726967 0.997354i \(-0.476839\pi\)
−0.734437 + 0.678677i \(0.762554\pi\)
\(444\) 448.768 562.738i 0.0479676 0.0601494i
\(445\) −8.33390 36.5132i −0.000887786 0.00388964i
\(446\) −8511.69 + 4099.02i −0.903678 + 0.435188i
\(447\) 4087.09 1968.24i 0.432467 0.208265i
\(448\) −4131.04 5180.16i −0.435655 0.546294i
\(449\) −1677.57 7349.90i −0.176324 0.772524i −0.983308 0.181951i \(-0.941759\pi\)
0.806984 0.590573i \(-0.201098\pi\)
\(450\) −17.2539 + 75.5943i −0.00180746 + 0.00791900i
\(451\) 9800.73 + 12289.7i 1.02328 + 1.28315i
\(452\) −1973.20 2474.31i −0.205335 0.257482i
\(453\) 3606.15 15799.6i 0.374021 1.63869i
\(454\) −1714.49 7511.67i −0.177236 0.776521i
\(455\) 275.010 + 344.851i 0.0283355 + 0.0355316i
\(456\) −1255.03 + 604.390i −0.128886 + 0.0620683i
\(457\) 1282.38 617.564i 0.131264 0.0632132i −0.367099 0.930182i \(-0.619649\pi\)
0.498363 + 0.866969i \(0.333935\pi\)
\(458\) −1491.07 6532.81i −0.152125 0.666503i
\(459\) −5934.07 + 7441.09i −0.603439 + 0.756689i
\(460\) −1828.07 880.351i −0.185291 0.0892317i
\(461\) −8564.73 + 10739.8i −0.865292 + 1.08504i 0.130321 + 0.991472i \(0.458399\pi\)
−0.995613 + 0.0935695i \(0.970172\pi\)
\(462\) −2473.03 + 10835.1i −0.249039 + 1.09111i
\(463\) −12132.3 + 5842.59i −1.21778 + 0.586454i −0.928693 0.370848i \(-0.879067\pi\)
−0.289090 + 0.957302i \(0.593353\pi\)
\(464\) 426.041 1866.61i 0.0426260 0.186757i
\(465\) −434.233 209.115i −0.0433055 0.0208548i
\(466\) −4095.75 −0.407150
\(467\) 16270.0 1.61218 0.806088 0.591796i \(-0.201581\pi\)
0.806088 + 0.591796i \(0.201581\pi\)
\(468\) −11.1530 5.37100i −0.00110160 0.000530501i
\(469\) 1430.03 + 6265.36i 0.140794 + 0.616860i
\(470\) 826.692 + 1036.64i 0.0811329 + 0.101737i
\(471\) −8882.89 + 11138.8i −0.869006 + 1.08970i
\(472\) −10747.7 −1.04810
\(473\) 2028.55 19590.0i 0.197194 1.90433i
\(474\) 9824.28 0.951992
\(475\) 806.958 1011.89i 0.0779490 0.0977449i
\(476\) 2872.36 + 3601.82i 0.276584 + 0.346826i
\(477\) −1.25526 5.49965i −0.000120491 0.000527907i
\(478\) 11719.4 + 5643.79i 1.12141 + 0.540043i
\(479\) −16819.6 −1.60440 −0.802198 0.597058i \(-0.796336\pi\)
−0.802198 + 0.597058i \(0.796336\pi\)
\(480\) −2915.61 −0.277247
\(481\) 240.223 + 115.685i 0.0227718 + 0.0109663i
\(482\) 2146.10 9402.67i 0.202805 0.888548i
\(483\) 10442.8 5028.96i 0.983771 0.473759i
\(484\) 3376.97 14795.5i 0.317146 1.38951i
\(485\) −2494.07 + 3127.46i −0.233505 + 0.292806i
\(486\) −172.528 83.0849i −0.0161029 0.00775475i
\(487\) 5166.79 6478.95i 0.480759 0.602852i −0.481010 0.876715i \(-0.659730\pi\)
0.961769 + 0.273863i \(0.0883014\pi\)
\(488\) −105.053 460.265i −0.00974489 0.0426952i
\(489\) −7495.78 + 3609.78i −0.693192 + 0.333824i
\(490\) −514.687 + 247.860i −0.0474514 + 0.0228514i
\(491\) 6854.57 + 8595.36i 0.630025 + 0.790026i 0.989716 0.143045i \(-0.0456893\pi\)
−0.359691 + 0.933071i \(0.617118\pi\)
\(492\) −1105.85 4845.04i −0.101332 0.443966i
\(493\) −2502.04 + 10962.2i −0.228573 + 1.00144i
\(494\) −112.095 140.563i −0.0102093 0.0128021i
\(495\) −51.9933 65.1975i −0.00472106 0.00592002i
\(496\) −70.6550 + 309.560i −0.00639618 + 0.0280235i
\(497\) −3116.80 13655.6i −0.281303 1.23247i
\(498\) 6913.94 + 8669.81i 0.622131 + 0.780127i
\(499\) −10766.2 + 5184.73i −0.965854 + 0.465131i −0.849217 0.528044i \(-0.822926\pi\)
−0.116637 + 0.993175i \(0.537211\pi\)
\(500\) 3103.77 1494.70i 0.277610 0.133690i
\(501\) 4752.86 + 20823.7i 0.423837 + 1.85695i
\(502\) 5832.49 7313.71i 0.518559 0.650253i
\(503\) −18104.8 8718.81i −1.60488 0.772868i −0.605147 0.796114i \(-0.706886\pi\)
−0.999730 + 0.0232459i \(0.992600\pi\)
\(504\) −83.4736 + 104.673i −0.00737740 + 0.00925096i
\(505\) 751.301 3291.67i 0.0662029 0.290054i
\(506\) 17062.6 8216.91i 1.49906 0.721909i
\(507\) 2446.73 10719.8i 0.214326 0.939022i
\(508\) 7774.55 + 3744.03i 0.679016 + 0.326997i
\(509\) 6860.23 0.597396 0.298698 0.954348i \(-0.403448\pi\)
0.298698 + 0.954348i \(0.403448\pi\)
\(510\) −2265.54 −0.196706
\(511\) 13871.5 + 6680.15i 1.20086 + 0.578302i
\(512\) 911.403 + 3993.12i 0.0786693 + 0.344673i
\(513\) 1002.93 + 1257.63i 0.0863166 + 0.108238i
\(514\) −603.745 + 757.072i −0.0518094 + 0.0649669i
\(515\) 4256.38 0.364192
\(516\) −3265.03 + 5301.79i −0.278556 + 0.452322i
\(517\) 14223.1 1.20993
\(518\) 626.433 785.522i 0.0531349 0.0666291i
\(519\) 7750.02 + 9718.22i 0.655468 + 0.821931i
\(520\) −145.517 637.550i −0.0122718 0.0537662i
\(521\) 382.996 + 184.441i 0.0322060 + 0.0155096i 0.449917 0.893070i \(-0.351453\pi\)
−0.417711 + 0.908580i \(0.637168\pi\)
\(522\) −113.851 −0.00954621
\(523\) 6960.22 0.581930 0.290965 0.956734i \(-0.406024\pi\)
0.290965 + 0.956734i \(0.406024\pi\)
\(524\) 7786.95 + 3750.00i 0.649188 + 0.312633i
\(525\) −2084.97 + 9134.87i −0.173325 + 0.759388i
\(526\) −3423.06 + 1648.46i −0.283750 + 0.136647i
\(527\) 414.941 1817.97i 0.0342981 0.150270i
\(528\) 2580.12 3235.36i 0.212661 0.266669i
\(529\) −6832.62 3290.42i −0.561570 0.270438i
\(530\) 64.7372 81.1779i 0.00530567 0.00665310i
\(531\) 35.7165 + 156.484i 0.00291896 + 0.0127888i
\(532\) 701.514 337.831i 0.0571701 0.0275317i
\(533\) 1658.62 798.748i 0.134789 0.0649111i
\(534\) −68.9056 86.4049i −0.00558397 0.00700207i
\(535\) −818.136 3584.49i −0.0661142 0.289665i
\(536\) 2120.15 9289.00i 0.170852 0.748552i
\(537\) 1500.44 + 1881.50i 0.120575 + 0.151197i
\(538\) 4618.17 + 5791.00i 0.370081 + 0.464066i
\(539\) −1363.59 + 5974.29i −0.108969 + 0.477423i
\(540\) 453.626 + 1987.46i 0.0361499 + 0.158383i
\(541\) −3357.25 4209.86i −0.266802 0.334559i 0.630326 0.776331i \(-0.282921\pi\)
−0.897127 + 0.441772i \(0.854350\pi\)
\(542\) 11192.7 5390.12i 0.887025 0.427169i
\(543\) 9124.86 4394.30i 0.721151 0.347288i
\(544\) −2510.17 10997.8i −0.197835 0.866774i
\(545\) −2230.16 + 2796.53i −0.175284 + 0.219799i
\(546\) 1172.67 + 564.729i 0.0919152 + 0.0442640i
\(547\) −6776.91 + 8497.98i −0.529726 + 0.664255i −0.972642 0.232308i \(-0.925372\pi\)
0.442917 + 0.896563i \(0.353944\pi\)
\(548\) −1588.44 + 6959.42i −0.123823 + 0.542503i
\(549\) −6.35228 + 3.05910i −0.000493823 + 0.000237812i
\(550\) −3406.68 + 14925.6i −0.264111 + 1.15715i
\(551\) 1712.19 + 824.546i 0.132381 + 0.0637511i
\(552\) −17184.2 −1.32501
\(553\) −15760.9 −1.21198
\(554\) −4006.87 1929.61i −0.307284 0.147980i
\(555\) −126.359 553.617i −0.00966425 0.0423418i
\(556\) −2731.56 3425.26i −0.208352 0.261265i
\(557\) −5271.04 + 6609.67i −0.400971 + 0.502802i −0.940795 0.338976i \(-0.889919\pi\)
0.539824 + 0.841778i \(0.318491\pi\)
\(558\) 18.8811 0.00143244
\(559\) −2183.86 742.133i −0.165237 0.0561519i
\(560\) −618.885 −0.0467012
\(561\) −15152.4 + 19000.5i −1.14035 + 1.42995i
\(562\) −9113.00 11427.3i −0.684001 0.857710i
\(563\) 1252.64 + 5488.19i 0.0937703 + 0.410834i 0.999927 0.0121083i \(-0.00385428\pi\)
−0.906156 + 0.422943i \(0.860997\pi\)
\(564\) −4051.36 1951.03i −0.302470 0.145662i
\(565\) −2496.80 −0.185914
\(566\) 4221.58 0.313509
\(567\) −10354.5 4986.48i −0.766930 0.369334i
\(568\) −4620.95 + 20245.7i −0.341357 + 1.49558i
\(569\) 1892.03 911.154i 0.139399 0.0671310i −0.362884 0.931834i \(-0.618208\pi\)
0.502283 + 0.864703i \(0.332494\pi\)
\(570\) −85.2041 + 373.304i −0.00626107 + 0.0274315i
\(571\) 15963.5 20017.6i 1.16997 1.46709i 0.314483 0.949263i \(-0.398169\pi\)
0.855484 0.517829i \(-0.173260\pi\)
\(572\) −2202.09 1060.47i −0.160968 0.0775183i
\(573\) 3713.64 4656.76i 0.270750 0.339510i
\(574\) −1543.65 6763.16i −0.112248 0.491792i
\(575\) 14385.2 6927.54i 1.04331 0.502432i
\(576\) 132.174 63.6518i 0.00956122 0.00460444i
\(577\) 9460.19 + 11862.7i 0.682552 + 0.855894i 0.995587 0.0938482i \(-0.0299168\pi\)
−0.313034 + 0.949742i \(0.601345\pi\)
\(578\) 158.693 + 695.280i 0.0114200 + 0.0500343i
\(579\) 1709.78 7491.05i 0.122722 0.537681i
\(580\) 1501.61 + 1882.96i 0.107502 + 0.134803i
\(581\) −11091.9 13908.8i −0.792031 0.993176i
\(582\) −2626.62 + 11508.0i −0.187074 + 0.819625i
\(583\) −247.843 1085.87i −0.0176065 0.0771392i
\(584\) −14232.0 17846.3i −1.00843 1.26453i
\(585\) −8.79904 + 4.23739i −0.000621873 + 0.000299478i
\(586\) 13210.2 6361.71i 0.931244 0.448464i
\(587\) −375.581 1645.53i −0.0264087 0.115704i 0.960006 0.279981i \(-0.0903281\pi\)
−0.986414 + 0.164277i \(0.947471\pi\)
\(588\) 1207.92 1514.69i 0.0847174 0.106232i
\(589\) −283.951 136.743i −0.0198641 0.00956607i
\(590\) −1842.00 + 2309.80i −0.128532 + 0.161174i
\(591\) 1372.87 6014.96i 0.0955542 0.418650i
\(592\) −337.059 + 162.319i −0.0234004 + 0.0112690i
\(593\) −1057.20 + 4631.91i −0.0732110 + 0.320758i −0.998251 0.0591102i \(-0.981174\pi\)
0.925040 + 0.379869i \(0.124031\pi\)
\(594\) −17143.1 8255.68i −1.18416 0.570260i
\(595\) 3634.57 0.250425
\(596\) 3759.33 0.258369
\(597\) −21747.2 10472.9i −1.49087 0.717967i
\(598\) −493.530 2162.29i −0.0337490 0.147864i
\(599\) 11072.8 + 13884.8i 0.755294 + 0.947108i 0.999746 0.0225531i \(-0.00717947\pi\)
−0.244452 + 0.969661i \(0.578608\pi\)
\(600\) 8661.28 10860.9i 0.589326 0.738991i
\(601\) −333.783 −0.0226544 −0.0113272 0.999936i \(-0.503606\pi\)
−0.0113272 + 0.999936i \(0.503606\pi\)
\(602\) −4557.64 + 7400.74i −0.308564 + 0.501049i
\(603\) −142.292 −0.00960958
\(604\) 8373.52 10500.1i 0.564096 0.707354i
\(605\) −7464.99 9360.80i −0.501645 0.629043i
\(606\) −2216.98 9713.23i −0.148612 0.651110i
\(607\) 6469.27 + 3115.44i 0.432586 + 0.208322i 0.637488 0.770460i \(-0.279973\pi\)
−0.204902 + 0.978782i \(0.565688\pi\)
\(608\) −1906.56 −0.127173
\(609\) −13757.8 −0.915428
\(610\) −116.921 56.3061i −0.00776063 0.00373732i
\(611\) 370.658 1623.96i 0.0245421 0.107526i
\(612\) −91.9021 + 44.2577i −0.00607013 + 0.00292322i
\(613\) 743.884 3259.17i 0.0490134 0.214742i −0.944491 0.328538i \(-0.893444\pi\)
0.993504 + 0.113797i \(0.0363012\pi\)
\(614\) −2266.96 + 2842.67i −0.149002 + 0.186842i
\(615\) −3532.47 1701.15i −0.231614 0.111540i
\(616\) −16481.3 + 20666.9i −1.07801 + 1.35178i
\(617\) −4968.79 21769.7i −0.324207 1.42045i −0.829987 0.557783i \(-0.811652\pi\)
0.505780 0.862663i \(-0.331205\pi\)
\(618\) 11316.1 5449.57i 0.736573 0.354715i
\(619\) −7849.23 + 3779.99i −0.509673 + 0.245445i −0.671002 0.741455i \(-0.734136\pi\)
0.161330 + 0.986901i \(0.448422\pi\)
\(620\) −249.028 312.271i −0.0161310 0.0202276i
\(621\) 4415.67 + 19346.3i 0.285338 + 1.25015i
\(622\) −2237.63 + 9803.69i −0.144246 + 0.631981i
\(623\) 110.544 + 138.618i 0.00710892 + 0.00891430i
\(624\) −302.167 378.905i −0.0193852 0.0243082i
\(625\) −2555.29 + 11195.5i −0.163539 + 0.716509i
\(626\) 3269.21 + 14323.4i 0.208728 + 0.914499i
\(627\) 2560.94 + 3211.32i 0.163117 + 0.204542i
\(628\) −10637.5 + 5122.76i −0.675929 + 0.325510i
\(629\) 1979.47 953.262i 0.125479 0.0604277i
\(630\) 8.18911 + 35.8788i 0.000517876 + 0.00226896i
\(631\) 12436.2 15594.5i 0.784592 0.983848i −0.215381 0.976530i \(-0.569099\pi\)
0.999973 0.00731741i \(-0.00232923\pi\)
\(632\) 21053.0 + 10138.6i 1.32507 + 0.638120i
\(633\) 7793.93 9773.28i 0.489386 0.613670i
\(634\) −2426.46 + 10631.0i −0.151998 + 0.665948i
\(635\) 6133.65 2953.81i 0.383317 0.184596i
\(636\) −78.3559 + 343.300i −0.00488524 + 0.0214036i
\(637\) 646.593 + 311.383i 0.0402181 + 0.0193680i
\(638\) −22479.2 −1.39492
\(639\) 310.130 0.0191996
\(640\) −1638.28 788.953i −0.101185 0.0487283i
\(641\) −876.130 3838.58i −0.0539861 0.236528i 0.940735 0.339142i \(-0.110137\pi\)
−0.994721 + 0.102613i \(0.967280\pi\)
\(642\) −6764.44 8482.34i −0.415843 0.521450i
\(643\) 10554.1 13234.4i 0.647298 0.811686i −0.344597 0.938751i \(-0.611984\pi\)
0.991894 + 0.127065i \(0.0405557\pi\)
\(644\) 9605.31 0.587736
\(645\) 1664.19 + 4621.86i 0.101593 + 0.282148i
\(646\) −1481.47 −0.0902284
\(647\) 4113.38 5158.02i 0.249944 0.313420i −0.640993 0.767547i \(-0.721477\pi\)
0.890937 + 0.454127i \(0.150049\pi\)
\(648\) 10623.6 + 13321.6i 0.644037 + 0.807597i
\(649\) 7052.01 + 30896.9i 0.426526 + 1.86873i
\(650\) 1615.39 + 777.930i 0.0974781 + 0.0469430i
\(651\) 2281.61 0.137363
\(652\) −6894.66 −0.414135
\(653\) 8958.47 + 4314.17i 0.536864 + 0.258540i 0.682611 0.730782i \(-0.260844\pi\)
−0.145747 + 0.989322i \(0.546559\pi\)
\(654\) −2348.69 + 10290.3i −0.140430 + 0.615263i
\(655\) 6143.44 2958.52i 0.366479 0.176487i
\(656\) −574.776 + 2518.26i −0.0342092 + 0.149880i
\(657\) −212.544 + 266.522i −0.0126212 + 0.0158265i
\(658\) −5655.27 2723.43i −0.335054 0.161353i
\(659\) −8517.30 + 10680.4i −0.503471 + 0.631332i −0.967008 0.254745i \(-0.918008\pi\)
0.463538 + 0.886077i \(0.346580\pi\)
\(660\) 1158.32 + 5074.92i 0.0683143 + 0.299304i
\(661\) −9577.62 + 4612.34i −0.563580 + 0.271406i −0.693906 0.720065i \(-0.744112\pi\)
0.130326 + 0.991471i \(0.458397\pi\)
\(662\) 5548.75 2672.14i 0.325768 0.156881i
\(663\) 1774.56 + 2225.22i 0.103949 + 0.130348i
\(664\) 5869.09 + 25714.2i 0.343020 + 1.50287i
\(665\) 136.691 598.884i 0.00797093 0.0349229i
\(666\) 13.8702 + 17.3926i 0.000806993 + 0.00101194i
\(667\) 14616.9 + 18329.0i 0.848529 + 1.06402i
\(668\) −3938.78 + 17256.9i −0.228137 + 0.999536i
\(669\) −5624.67 24643.3i −0.325056 1.42416i
\(670\) −1632.95 2047.65i −0.0941586 0.118071i
\(671\) −1254.22 + 603.999i −0.0721587 + 0.0347498i
\(672\) 12435.6 5988.68i 0.713861 0.343778i
\(673\) −7595.21 33276.8i −0.435028 1.90598i −0.423164 0.906053i \(-0.639081\pi\)
−0.0118643 0.999930i \(-0.503777\pi\)
\(674\) 492.756 617.896i 0.0281606 0.0353123i
\(675\) −14453.1 6960.23i −0.824147 0.396888i
\(676\) 5681.34 7124.18i 0.323244 0.405335i
\(677\) 2083.20 9127.11i 0.118263 0.518144i −0.880744 0.473592i \(-0.842957\pi\)
0.999007 0.0445513i \(-0.0141858\pi\)
\(678\) −6638.08 + 3196.73i −0.376009 + 0.181076i
\(679\) 4213.85 18462.1i 0.238163 1.04346i
\(680\) −4854.96 2338.02i −0.273793 0.131852i
\(681\) 20615.1 1.16002
\(682\) 3727.96 0.209312
\(683\) 537.999 + 259.087i 0.0301405 + 0.0145149i 0.448893 0.893585i \(-0.351818\pi\)
−0.418753 + 0.908100i \(0.637533\pi\)
\(684\) 3.83623 + 16.8076i 0.000214447 + 0.000939554i
\(685\) 3511.35 + 4403.09i 0.195857 + 0.245596i
\(686\) 8278.14 10380.5i 0.460730 0.577737i
\(687\) 17928.7 0.995664
\(688\) 2724.61 1746.45i 0.150981 0.0967773i
\(689\) −130.441 −0.00721247
\(690\) −2945.12 + 3693.07i −0.162491 + 0.203758i
\(691\) −22200.9 27839.0i −1.22223 1.53263i −0.766109 0.642711i \(-0.777810\pi\)
−0.456121 0.889918i \(-0.650762\pi\)
\(692\) 2292.19 + 10042.7i 0.125919 + 0.551687i
\(693\) 355.678 + 171.285i 0.0194965 + 0.00938902i
\(694\) 7718.12 0.422155
\(695\) −3456.41 −0.188646
\(696\) 18377.4 + 8850.07i 1.00085 + 0.481984i
\(697\) 3375.53 14789.1i 0.183439 0.803700i
\(698\) −5528.79 + 2662.53i −0.299811 + 0.144381i
\(699\) 2438.51 10683.8i 0.131950 0.578110i
\(700\) −4841.34 + 6070.84i −0.261408 + 0.327795i
\(701\) 6379.56 + 3072.23i 0.343727 + 0.165530i 0.597780 0.801660i \(-0.296050\pi\)
−0.254053 + 0.967190i \(0.581764\pi\)
\(702\) −1389.36 + 1742.21i −0.0746983 + 0.0936687i
\(703\) −82.6281 362.017i −0.00443297 0.0194221i
\(704\) 26097.0 12567.6i 1.39711 0.672814i
\(705\) −3196.28 + 1539.25i −0.170750 + 0.0822289i
\(706\) 7045.86 + 8835.23i 0.375601 + 0.470989i
\(707\) 3556.66 + 15582.8i 0.189197 + 0.828925i
\(708\) 2229.50 9768.09i 0.118347 0.518513i
\(709\) 6889.91 + 8639.67i 0.364959 + 0.457644i 0.930076 0.367367i \(-0.119741\pi\)
−0.565117 + 0.825011i \(0.691169\pi\)
\(710\) 3559.07 + 4462.93i 0.188126 + 0.235902i
\(711\) 77.6532 340.221i 0.00409595 0.0179455i
\(712\) −58.4925 256.272i −0.00307879 0.0134891i
\(713\) −2424.08 3039.70i −0.127325 0.159660i
\(714\) 9662.96 4653.44i 0.506481 0.243908i
\(715\) −1737.31 + 836.647i −0.0908698 + 0.0437606i
\(716\) 443.779 + 1944.32i 0.0231631 + 0.101484i
\(717\) −21699.3 + 27210.1i −1.13023 + 1.41727i
\(718\) 7983.27 + 3844.54i 0.414948 + 0.199829i
\(719\) 10198.5 12788.6i 0.528986 0.663327i −0.443504 0.896272i \(-0.646265\pi\)
0.972490 + 0.232945i \(0.0748362\pi\)
\(720\) 3.04921 13.3595i 0.000157830 0.000691497i
\(721\) −18154.3 + 8742.65i −0.937727 + 0.451586i
\(722\) 2888.91 12657.1i 0.148911 0.652423i
\(723\) 23249.2 + 11196.2i 1.19592 + 0.575924i
\(724\) 8393.10 0.430839
\(725\) −18951.8 −0.970832
\(726\) −31831.5 15329.3i −1.62724 0.783640i
\(727\) −410.518 1798.60i −0.0209426 0.0917556i 0.963377 0.268152i \(-0.0864130\pi\)
−0.984319 + 0.176397i \(0.943556\pi\)
\(728\) 1930.19 + 2420.38i 0.0982658 + 0.123221i
\(729\) 12428.7 15585.1i 0.631443 0.791805i
\(730\) −6274.54 −0.318125
\(731\) −16001.0 + 10256.5i −0.809602 + 0.518947i
\(732\) 440.107 0.0222224
\(733\) −11644.2 + 14601.3i −0.586750 + 0.735761i −0.983248 0.182274i \(-0.941654\pi\)
0.396498 + 0.918036i \(0.370226\pi\)
\(734\) −5054.05 6337.58i −0.254153 0.318698i
\(735\) −340.114 1490.14i −0.0170684 0.0747816i
\(736\) −21190.6 10204.9i −1.06127 0.511082i
\(737\) −28094.6 −1.40418
\(738\) 153.597 0.00766124
\(739\) −29663.3 14285.1i −1.47656 0.711076i −0.489589 0.871953i \(-0.662853\pi\)
−0.986974 + 0.160878i \(0.948568\pi\)
\(740\) 104.716 458.791i 0.00520195 0.0227912i
\(741\) 433.399 208.714i 0.0214863 0.0103472i
\(742\) −109.377 + 479.210i −0.00541151 + 0.0237094i
\(743\) −11795.8 + 14791.4i −0.582429 + 0.730342i −0.982525 0.186131i \(-0.940405\pi\)
0.400096 + 0.916473i \(0.368977\pi\)
\(744\) −3047.71 1467.70i −0.150181 0.0723233i
\(745\) 1849.20 2318.82i 0.0909387 0.114034i
\(746\) −1816.09 7956.80i −0.0891310 0.390508i
\(747\) 354.890 170.906i 0.0173825 0.00837098i
\(748\) −18145.5 + 8738.41i −0.886985 + 0.427149i
\(749\) 10852.1 + 13608.1i 0.529407 + 0.663856i
\(750\) −1784.61 7818.87i −0.0868862 0.380673i
\(751\) 1189.68 5212.34i 0.0578057 0.253263i −0.937766 0.347268i \(-0.887110\pi\)
0.995572 + 0.0940042i \(0.0299667\pi\)
\(752\) 1457.21 + 1827.29i 0.0706638 + 0.0886096i
\(753\) 15605.4 + 19568.5i 0.755234 + 0.947034i
\(754\) −585.812 + 2566.61i −0.0282945 + 0.123966i
\(755\) −2357.73 10329.9i −0.113651 0.497937i
\(756\) −6017.07 7545.17i −0.289469 0.362983i
\(757\) −14027.3 + 6755.22i −0.673491 + 0.324336i −0.739184 0.673504i \(-0.764789\pi\)
0.0656929 + 0.997840i \(0.479074\pi\)
\(758\) −3089.50 + 1487.83i −0.148042 + 0.0712932i
\(759\) 11275.2 + 49400.1i 0.539217 + 2.36246i
\(760\) −567.836 + 712.044i −0.0271021 + 0.0339849i
\(761\) −20991.9 10109.2i −0.999944 0.481548i −0.139024 0.990289i \(-0.544397\pi\)
−0.860919 + 0.508741i \(0.830111\pi\)
\(762\) 12525.3 15706.2i 0.595462 0.746686i
\(763\) 3767.96 16508.5i 0.178780 0.783288i
\(764\) 4447.20 2141.66i 0.210594 0.101417i
\(765\) −17.9073 + 78.4570i −0.000846327 + 0.00370800i
\(766\) 10702.7 + 5154.16i 0.504837 + 0.243117i
\(767\) 3711.50 0.174725
\(768\) −22491.1 −1.05674
\(769\) 19200.6 + 9246.52i 0.900379 + 0.433600i 0.826026 0.563632i \(-0.190597\pi\)
0.0743530 + 0.997232i \(0.476311\pi\)
\(770\) 1616.89 + 7084.05i 0.0756735 + 0.331547i
\(771\) −1615.38 2025.62i −0.0754557 0.0946184i