Properties

Label 43.4.e.a.11.7
Level $43$
Weight $4$
Character 43.11
Analytic conductor $2.537$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 11.7
Character \(\chi\) \(=\) 43.11
Dual form 43.4.e.a.4.7

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} + O(q^{10}) \) \( 60q - 9q^{2} - 3q^{3} - 31q^{4} - 23q^{5} + 16q^{6} + 96q^{7} + 61q^{8} - 177q^{9} - 61q^{10} + 83q^{11} + 33q^{12} + 107q^{13} - 299q^{14} + 109q^{15} + 41q^{16} + 181q^{17} - 414q^{18} + 284q^{19} - 363q^{20} - 88q^{21} + 421q^{22} + 231q^{23} - 937q^{24} + 213q^{25} + 139q^{26} - 27q^{27} + 29q^{28} - 367q^{29} + 1244q^{30} - 319q^{31} + 435q^{32} - 2594q^{33} - 583q^{34} - 902q^{35} + 1552q^{36} + 1020q^{37} + 1251q^{38} - 1571q^{39} + 1263q^{40} + 293q^{41} - 1830q^{42} + 1661q^{43} + 6512q^{44} + 1019q^{45} - 2786q^{46} - 287q^{47} - 95q^{48} + 772q^{49} - 282q^{50} + 1524q^{51} - 1511q^{52} - 1505q^{53} - 3489q^{54} - 1735q^{55} - 1237q^{56} + 1055q^{57} + 335q^{58} + 571q^{59} - 101q^{60} - 339q^{61} + 923q^{62} - 702q^{63} - 5163q^{64} + 2463q^{65} + 985q^{66} - 241q^{67} + 2904q^{68} + 2711q^{69} - 7698q^{70} - 2431q^{71} - 4340q^{72} - 2157q^{73} - 1294q^{74} - 242q^{75} - 4272q^{76} - 3962q^{77} - 2860q^{78} + 1092q^{79} + 11618q^{80} + 12060q^{81} + 4023q^{82} - 2664q^{83} + 3334q^{84} - 3446q^{85} + 10055q^{86} + 11874q^{87} + 9957q^{88} - 5811q^{89} - 1612q^{90} - 760q^{91} + 2120q^{92} + 3994q^{93} + 6057q^{94} + 379q^{95} - 2044q^{96} - 5509q^{97} - 9041q^{98} - 2012q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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 0.947599 0.319461i \(-0.103502\pi\)
−0.522312 + 0.852754i \(0.674930\pi\)
\(3\) 3.21845 4.03581i 0.619392 0.776693i −0.368867 0.929482i \(-0.620254\pi\)
0.988259 + 0.152789i \(0.0488256\pi\)
\(4\) 0.951908 4.17058i 0.118988 0.521323i
\(5\) 3.04073 1.46434i 0.271971 0.130974i −0.292928 0.956135i \(-0.594630\pi\)
0.564899 + 0.825160i \(0.308915\pi\)
\(6\) 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 0.495002 + 0.868892i \(0.335167\pi\)
−0.0689839 + 0.997618i \(0.521976\pi\)
\(12\) −13.7680 17.2645i −0.331207 0.415320i
\(13\) −7.36994 + 3.54918i −0.157235 + 0.0757203i −0.510846 0.859672i \(-0.670668\pi\)
0.353611 + 0.935392i \(0.384954\pi\)
\(14\) −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 −0.0527690 0.998607i \(-0.516805\pi\)
−0.813643 + 0.581365i \(0.802519\pi\)
\(18\) −0.425530 + 0.533598i −0.00557214 + 0.00698724i
\(19\) 2.53499 11.1065i 0.0306088 0.134106i −0.957315 0.289047i \(-0.906662\pi\)
0.987924 + 0.154941i \(0.0495188\pi\)
\(20\) −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 −0.893257 0.449546i \(-0.851586\pi\)
0.609747 0.792596i \(-0.291271\pi\)
\(24\) 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 0.993981 0.109556i \(-0.0349428\pi\)
−0.327990 + 0.944681i \(0.606371\pi\)
\(30\) 30.2826 14.5833i 0.184294 0.0887514i
\(31\) −17.2487 21.6292i −0.0999341 0.125313i 0.729350 0.684141i \(-0.239823\pi\)
−0.829284 + 0.558828i \(0.811251\pi\)
\(32\) −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 0.439129 0.898424i \(-0.355287\pi\)
−0.973614 + 0.228200i \(0.926716\pi\)
\(42\) −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 −0.854661 0.519186i \(-0.826235\pi\)
0.995290 0.0969471i \(-0.0309078\pi\)
\(48\) 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 0.452409 0.891811i \(-0.350565\pi\)
−0.415173 + 0.909742i \(0.636279\pi\)
\(54\) 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 −0.0754161 0.997152i \(-0.524029\pi\)
−0.826626 + 0.562752i \(0.809743\pi\)
\(60\) −67.1459 32.3358i −0.144475 0.0695755i
\(61\) −12.4264 + 15.5822i −0.0260826 + 0.0327065i −0.794702 0.607000i \(-0.792373\pi\)
0.768619 + 0.639707i \(0.220944\pi\)
\(62\) 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 0.825403 + 0.564544i \(0.190948\pi\)
−0.988609 + 0.150507i \(0.951909\pi\)
\(68\) −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 −0.500454 0.865763i \(-0.666833\pi\)
0.826534 0.562887i \(-0.190309\pi\)
\(72\) 5.22459 + 6.55143i 0.00855172 + 0.0107235i
\(73\) −868.212 + 418.109i −1.39201 + 0.670355i −0.971523 0.236944i \(-0.923854\pi\)
−0.420484 + 0.907300i \(0.638140\pi\)
\(74\) −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 −0.0700081 0.997546i \(-0.522303\pi\)
0.988114 0.153722i \(-0.0491261\pi\)
\(84\) 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 −0.785935 0.618310i \(-0.787818\pi\)
0.777694 + 0.628643i \(0.216389\pi\)
\(90\) −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 −0.902712 0.430246i \(-0.858427\pi\)
0.626638 0.779310i \(-0.284430\pi\)
\(98\) −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 0.738675 + 0.674062i \(0.235452\pi\)
−0.957987 + 0.286810i \(0.907405\pi\)
\(102\) −604.803 291.258i −0.587102 0.282733i
\(103\) 1136.27 + 547.200i 1.08699 + 0.523468i 0.889546 0.456845i \(-0.151021\pi\)
0.197447 + 0.980314i \(0.436735\pi\)
\(104\) −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 −0.987440 0.157997i \(-0.949496\pi\)
0.373762 + 0.927525i \(0.378068\pi\)
\(108\) 376.607 472.250i 0.335547 0.420762i
\(109\) −235.836 1033.26i −0.207238 0.907971i −0.966395 0.257062i \(-0.917245\pi\)
0.759156 0.650908i \(-0.225612\pi\)
\(110\) −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 0.135353 0.990797i \(-0.456783\pi\)
−0.690245 + 0.723575i \(0.742497\pi\)
\(114\) 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 0.994086 + 0.108591i \(0.0346339\pi\)
−0.115337 + 0.993326i \(0.536795\pi\)
\(128\) −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 0.997818 + 0.0660214i \(0.0210306\pi\)
−0.157669 + 0.987492i \(0.550398\pi\)
\(132\) 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 0.0982613 0.995161i \(-0.468672\pi\)
0.839313 + 0.543649i \(0.182958\pi\)
\(138\) −311.442 1364.52i −0.192114 0.841706i
\(139\) −922.713 444.355i −0.563047 0.271149i 0.130635 0.991431i \(-0.458298\pi\)
−0.693682 + 0.720281i \(0.744013\pi\)
\(140\) 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 0.999808 + 0.0196020i \(0.00623991\pi\)
−0.892291 + 0.451461i \(0.850903\pi\)
\(150\) −705.441 + 884.595i −0.383993 + 0.481512i
\(151\) −1957.42 + 2454.53i −1.05492 + 1.32283i −0.110573 + 0.993868i \(0.535269\pi\)
−0.944345 + 0.328958i \(0.893303\pi\)
\(152\) −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 −0.538703 0.842496i \(-0.681086\pi\)
0.850900 0.525328i \(-0.176057\pi\)
\(158\) 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 −0.985032 0.172369i \(-0.944858\pi\)
0.812695 0.582689i \(-0.197999\pi\)
\(164\) −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 0.740244 0.672338i \(-0.234710\pi\)
0.987190 0.159550i \(-0.0510044\pi\)
\(168\) −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 0.981960 + 0.189091i \(0.0605541\pi\)
−0.802671 + 0.596421i \(0.796589\pi\)
\(182\) 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 −0.999992 0.00405977i \(-0.998708\pi\)
0.902723 + 0.430222i \(0.141565\pi\)
\(192\) −476.346 2087.01i −0.179049 0.784463i
\(193\) −928.072 + 1163.77i −0.346135 + 0.434040i −0.924175 0.381969i \(-0.875246\pi\)
0.578040 + 0.816008i \(0.303818\pi\)
\(194\) 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 −0.898107 0.439777i \(-0.855057\pi\)
0.628599 + 0.777730i \(0.283629\pi\)
\(198\) −42.9495 20.6834i −0.0154156 0.00742375i
\(199\) −4212.93 2028.84i −1.50074 0.722717i −0.510213 0.860048i \(-0.670433\pi\)
−0.990525 + 0.137331i \(0.956148\pi\)
\(200\) −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 0.807718 + 0.589569i \(0.200702\pi\)
−0.983533 + 0.180728i \(0.942155\pi\)
\(212\) 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 −0.956512 0.291694i \(-0.905781\pi\)
−0.368320 + 0.929699i \(0.620067\pi\)
\(224\) 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 0.998763 0.0497210i \(-0.0158332\pi\)
−0.270720 + 0.962658i \(0.587262\pi\)
\(228\) −226.651 + 109.149i −0.0658348 + 0.0317044i
\(229\) 2165.51 + 2715.46i 0.624894 + 0.783592i 0.989024 0.147756i \(-0.0472051\pi\)
−0.364130 + 0.931348i \(0.618634\pi\)
\(230\) 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 −0.932280 0.361737i \(-0.882184\pi\)
0.560119 + 0.828412i \(0.310755\pi\)
\(234\) 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 −0.196074 0.980589i \(-0.562819\pi\)
0.602118 0.798407i \(-0.294324\pi\)
\(240\) 124.670 156.331i 0.0335308 0.0420463i
\(241\) 4503.92 + 2168.97i 1.20383 + 0.579734i 0.924765 0.380538i \(-0.124261\pi\)
0.279065 + 0.960272i \(0.409975\pi\)
\(242\) −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 −0.630159 0.776466i \(-0.717010\pi\)
0.214168 + 0.976797i \(0.431296\pi\)
\(264\) 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 −0.974628 0.223832i \(-0.928143\pi\)
0.780992 0.624541i \(-0.214714\pi\)
\(270\) 573.231 + 718.810i 0.129207 + 0.162020i
\(271\) 5801.45 2793.83i 1.30042 0.626248i 0.349862 0.936801i \(-0.386229\pi\)
0.950556 + 0.310553i \(0.100514\pi\)
\(272\) −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 0.888338 + 0.459191i \(0.151861\pi\)
−0.999600 + 0.0282816i \(0.990996\pi\)
\(278\) −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 0.758448 + 0.651734i \(0.225958\pi\)
−0.400561 + 0.916270i \(0.631185\pi\)
\(282\) 451.269 1977.14i 0.0952932 0.417507i
\(283\) 1364.29 1710.77i 0.286567 0.359344i −0.617623 0.786475i \(-0.711904\pi\)
0.904190 + 0.427130i \(0.140475\pi\)
\(284\) −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 0.399446 0.916757i \(-0.369203\pi\)
0.965800 + 0.259289i \(0.0834883\pi\)
\(294\) −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 −0.0463413 0.998926i \(-0.514756\pi\)
−0.809885 + 0.586589i \(0.800470\pi\)
\(312\) 222.568 + 975.134i 0.0403860 + 0.176943i
\(313\) −4747.92 5953.71i −0.857407 1.07515i −0.996393 0.0848603i \(-0.972956\pi\)
0.138986 0.990294i \(-0.455616\pi\)
\(314\) 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 −0.0755462 0.997142i \(-0.524070\pi\)
−0.826700 + 0.562644i \(0.809784\pi\)
\(318\) 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 −0.179572 0.983745i \(-0.557471\pi\)
0.657162 + 0.753750i \(0.271757\pi\)
\(332\) −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 −0.550517 0.834824i \(-0.685570\pi\)
0.936395 + 0.350949i \(0.114141\pi\)
\(348\) 819.688 3591.29i 0.126264 0.553199i
\(349\) −2865.71 + 1380.05i −0.439536 + 0.211669i −0.640546 0.767920i \(-0.721292\pi\)
0.201010 + 0.979589i \(0.435578\pi\)
\(350\) 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 −0.972986 0.230864i \(-0.925845\pi\)
0.776462 0.630164i \(-0.217012\pi\)
\(354\) −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 −0.842567 0.538592i \(-0.818957\pi\)
0.992813 0.119678i \(-0.0381863\pi\)
\(360\) 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 0.996878 + 0.0789554i \(0.0251585\pi\)
−0.863899 + 0.503666i \(0.831984\pi\)
\(368\) 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 0.930436 0.366453i \(-0.119428\pi\)
−0.564307 + 0.825565i \(0.690857\pi\)
\(374\) 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 −0.539243 0.842150i \(-0.681290\pi\)
0.322207 + 0.946669i \(0.395575\pi\)
\(380\) −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 −0.797500 0.603319i \(-0.793845\pi\)
0.980293 0.197549i \(-0.0632983\pi\)
\(384\) −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 0.712742 0.701426i \(-0.247453\pi\)
−0.842440 + 0.538790i \(0.818882\pi\)
\(390\) −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 0.0176401 0.999844i \(-0.494385\pi\)
−0.770711 + 0.637184i \(0.780099\pi\)
\(398\) −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 0.870263 0.492587i \(-0.163949\pi\)
−0.673888 + 0.738833i \(0.735377\pi\)
\(402\) −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 0.183522 + 0.983016i \(0.441250\pi\)
−0.999207 + 0.0398208i \(0.987321\pi\)
\(410\) −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 0.999209 + 0.0397725i \(0.0126633\pi\)
−0.882999 + 0.469374i \(0.844480\pi\)
\(420\) 1072.79 + 516.630i 0.124636 + 0.0600214i
\(421\) −1647.01 7216.00i −0.190665 0.835360i −0.976257 0.216615i \(-0.930498\pi\)
0.785592 0.618745i \(-0.212359\pi\)
\(422\) −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 −0.886450 0.462825i \(-0.846836\pi\)
0.648475 + 0.761236i \(0.275407\pi\)
\(434\) −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 0.914879 0.403728i \(-0.132286\pi\)
−0.999449 + 0.0332046i \(0.989429\pi\)
\(440\) 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 −0.734437 0.678677i \(-0.762554\pi\)
0.0726967 + 0.997354i \(0.476839\pi\)
\(444\) 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 0.806984 + 0.590573i \(0.201098\pi\)
−0.983308 + 0.181951i \(0.941759\pi\)
\(450\) −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 0.498363 0.866969i \(-0.333935\pi\)
−0.367099 + 0.930182i \(0.619649\pi\)
\(458\) −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 −0.995613 0.0935695i \(-0.970172\pi\)
0.130321 0.991472i \(-0.458399\pi\)
\(462\) −2473.03 10835.1i −0.249039 1.09111i
\(463\) −12132.3 5842.59i −1.21778 0.586454i −0.289090 0.957302i \(-0.593353\pi\)
−0.928693 + 0.370848i \(0.879067\pi\)
\(464\) 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 0.961769 0.273863i \(-0.0883014\pi\)
−0.481010 + 0.876715i \(0.659730\pi\)
\(488\) −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 −0.359691 0.933071i \(-0.617118\pi\)
0.989716 + 0.143045i \(0.0456893\pi\)
\(492\) −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 −0.116637 0.993175i \(-0.537211\pi\)
−0.849217 + 0.528044i \(0.822926\pi\)
\(500\) 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 −0.999730 0.0232459i \(-0.992600\pi\)
−0.605147 + 0.796114i \(0.706886\pi\)
\(504\) −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 −0.417711 0.908580i \(-0.637168\pi\)
0.449917 + 0.893070i \(0.351453\pi\)
\(522\) −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 −0.897127 0.441772i \(-0.854350\pi\)
0.630326 + 0.776331i \(0.282921\pi\)
\(542\) 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 0.442917 0.896563i \(-0.353944\pi\)
−0.972642 + 0.232308i \(0.925372\pi\)
\(548\) −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 0.539824 0.841778i \(-0.318491\pi\)
−0.940795 + 0.338976i \(0.889919\pi\)
\(558\) 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 −0.906156 0.422943i \(-0.860997\pi\)
0.999927 + 0.0121083i \(0.00385428\pi\)
\(564\) −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 0.502283 0.864703i \(-0.332494\pi\)
−0.362884 + 0.931834i \(0.618208\pi\)
\(570\) −85.2041 373.304i −0.00626107 0.0274315i
\(571\) 15963.5 + 20017.6i 1.16997 + 1.46709i 0.855484 + 0.517829i \(0.173260\pi\)
0.314483 + 0.949263i \(0.398169\pi\)
\(572\) −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 −0.313034 0.949742i \(-0.601345\pi\)
0.995587 + 0.0938482i \(0.0299168\pi\)
\(578\) 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 −0.986414 0.164277i \(-0.947471\pi\)
0.960006 + 0.279981i \(0.0903281\pi\)
\(588\) 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 0.925040 0.379869i \(-0.124031\pi\)
−0.998251 + 0.0591102i \(0.981174\pi\)
\(594\) −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 −0.244452 0.969661i \(-0.578608\pi\)
0.999746 + 0.0225531i \(0.00717947\pi\)
\(600\) 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 −0.204902 0.978782i \(-0.565688\pi\)
0.637488 + 0.770460i \(0.279973\pi\)
\(608\) −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 0.993504 0.113797i \(-0.0363012\pi\)
−0.944491 + 0.328538i \(0.893444\pi\)
\(614\) −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 0.505780 + 0.862663i \(0.331205\pi\)
−0.829987 + 0.557783i \(0.811652\pi\)
\(618\) 11316.1 + 5449.57i 0.736573 + 0.354715i
\(619\) −7849.23 3779.99i −0.509673 0.245445i 0.161330 0.986901i \(-0.448422\pi\)
−0.671002 + 0.741455i \(0.734136\pi\)
\(620\) −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 0.999973 + 0.00731741i \(0.00232923\pi\)
−0.215381 + 0.976530i \(0.569099\pi\)
\(632\) 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 −0.994721 0.102613i \(-0.967280\pi\)
0.940735 + 0.339142i \(0.110137\pi\)
\(642\) −6764.44 + 8482.34i −0.415843 + 0.521450i
\(643\) 10554.1 + 13234.4i 0.647298 + 0.811686i 0.991894 0.127065i \(-0.0405557\pi\)
−0.344597 + 0.938751i \(0.611984\pi\)
\(644\) 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 0.890937 0.454127i \(-0.150049\pi\)
−0.640993 + 0.767547i \(0.721477\pi\)
\(648\) 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 −0.145747 0.989322i \(-0.546559\pi\)
0.682611 + 0.730782i \(0.260844\pi\)
\(654\) −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 0.463538 0.886077i \(-0.346580\pi\)
−0.967008 + 0.254745i \(0.918008\pi\)
\(660\) 1158.32 5074.92i 0.0683143 0.299304i
\(661\) −9577.62 4612.34i −0.563580 0.271406i 0.130326 0.991471i \(-0.458397\pi\)
−0.693906 + 0.720065i \(0.744112\pi\)
\(662\) 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 −0.0118643 + 0.999930i \(0.503777\pi\)
−0.423164 + 0.906053i \(0.639081\pi\)
\(674\) 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 0.999007 + 0.0445513i \(0.0141858\pi\)
−0.880744 + 0.473592i \(0.842957\pi\)
\(678\) −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 −0.418753 0.908100i \(-0.637533\pi\)
0.448893 + 0.893585i \(0.351818\pi\)
\(684\) 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 −0.456121 + 0.889918i \(0.650762\pi\)
−0.766109 + 0.642711i \(0.777810\pi\)
\(692\) 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 −0.254053 0.967190i \(-0.581764\pi\)
0.597780 + 0.801660i \(0.296050\pi\)
\(702\) −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 −0.565117 0.825011i \(-0.691169\pi\)
0.930076 + 0.367367i \(0.119741\pi\)
\(710\) 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 0.972490 0.232945i \(-0.0748362\pi\)
−0.443504 + 0.896272i \(0.646265\pi\)
\(720\) 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 −0.984319 0.176397i \(-0.943556\pi\)
0.963377 + 0.268152i \(0.0864130\pi\)
\(728\) 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 0.396498 0.918036i \(-0.370226\pi\)
−0.983248 + 0.182274i \(0.941654\pi\)
\(734\) −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 −0.986974 0.160878i \(-0.948568\pi\)
−0.489589 + 0.871953i \(0.662853\pi\)
\(740\) 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 0.400096 0.916473i \(-0.368977\pi\)
−0.982525 + 0.186131i \(0.940405\pi\)
\(744\) −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 0.995572 0.0940042i \(-0.0299667\pi\)
−0.937766 + 0.347268i \(0.887110\pi\)
\(752\) 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 0.0656929 0.997840i \(-0.479074\pi\)
−0.739184 + 0.673504i \(0.764789\pi\)
\(758\) −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 −0.860919 0.508741i \(-0.830111\pi\)
−0.139024 + 0.990289i \(0.544397\pi\)
\(762\) 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 0.0743530 0.997232i \(-0.476311\pi\)
0.826026 + 0.563632i \(0.190597\pi\)
\(770\) 1616.89 7084.05i 0.0756735 0.331547i
\(771\) −1615.38 + 2025.62i −0.0754557 + 0.0946184i
\(772\) 3970.14 + 4978.40i 0.185089