Properties

Label 731.2.k.a.35.18
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.18
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.129219 - 0.566146i) q^{2} +(-0.516629 - 2.26350i) q^{3} +(1.49811 + 0.721454i) q^{4} +(-2.00450 + 2.51357i) q^{5} -1.34823 q^{6} +2.36842 q^{7} +(1.32616 - 1.66295i) q^{8} +(-2.15362 + 1.03713i) q^{9} +O(q^{10})\) \(q+(0.129219 - 0.566146i) q^{2} +(-0.516629 - 2.26350i) q^{3} +(1.49811 + 0.721454i) q^{4} +(-2.00450 + 2.51357i) q^{5} -1.34823 q^{6} +2.36842 q^{7} +(1.32616 - 1.66295i) q^{8} +(-2.15362 + 1.03713i) q^{9} +(1.16403 + 1.45964i) q^{10} +(2.16354 - 1.04191i) q^{11} +(0.859041 - 3.76370i) q^{12} +(-3.28554 + 4.11994i) q^{13} +(0.306045 - 1.34087i) q^{14} +(6.72504 + 3.23861i) q^{15} +(1.30334 + 1.63434i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.308877 + 1.35328i) q^{18} +(3.74670 + 1.80432i) q^{19} +(-4.81640 + 2.31945i) q^{20} +(-1.22359 - 5.36091i) q^{21} +(-0.310301 - 1.35952i) q^{22} +(8.42270 - 4.05616i) q^{23} +(-4.44923 - 2.14264i) q^{24} +(-1.18738 - 5.20227i) q^{25} +(1.90793 + 2.39247i) q^{26} +(-0.882529 - 1.10666i) q^{27} +(3.54816 + 1.70870i) q^{28} +(0.783058 - 3.43080i) q^{29} +(2.70253 - 3.38887i) q^{30} +(-0.332456 + 1.45658i) q^{31} +(4.92641 - 2.37243i) q^{32} +(-3.47611 - 4.35890i) q^{33} +(0.523198 - 0.251959i) q^{34} +(-4.74750 + 5.95318i) q^{35} -3.97460 q^{36} +2.55133 q^{37} +(1.50565 - 1.88803i) q^{38} +(11.0229 + 5.30835i) q^{39} +(1.52165 + 6.66679i) q^{40} +(-1.04741 + 4.58902i) q^{41} -3.19317 q^{42} +(4.95192 + 4.29866i) q^{43} +3.99292 q^{44} +(1.71004 - 7.49219i) q^{45} +(-1.20800 - 5.29261i) q^{46} +(0.627102 + 0.301996i) q^{47} +(3.02599 - 3.79447i) q^{48} -1.39060 q^{49} -3.09868 q^{50} +(1.44756 - 1.81519i) q^{51} +(-7.89447 + 3.80177i) q^{52} +(-8.26400 - 10.3627i) q^{53} +(-0.740569 + 0.356639i) q^{54} +(-1.71792 + 7.52672i) q^{55} +(3.14090 - 3.93857i) q^{56} +(2.14842 - 9.41283i) q^{57} +(-1.84115 - 0.886650i) q^{58} +(-8.98962 - 11.2726i) q^{59} +(7.73837 + 9.70361i) q^{60} +(1.06196 + 4.65274i) q^{61} +(0.781680 + 0.376437i) q^{62} +(-5.10066 + 2.45635i) q^{63} +(0.223758 + 0.980349i) q^{64} +(-3.76987 - 16.5169i) q^{65} +(-2.91695 + 1.40473i) q^{66} +(-12.3157 - 5.93094i) q^{67} +(0.370004 + 1.62109i) q^{68} +(-13.5325 - 16.9692i) q^{69} +(2.75690 + 3.45704i) q^{70} +(11.5939 + 5.58333i) q^{71} +(-1.13135 + 4.95676i) q^{72} +(3.22368 - 4.04237i) q^{73} +(0.329681 - 1.44443i) q^{74} +(-11.1619 + 5.37528i) q^{75} +(4.31126 + 5.40615i) q^{76} +(5.12418 - 2.46767i) q^{77} +(4.42967 - 5.55463i) q^{78} +7.48005 q^{79} -6.72059 q^{80} +(-6.52002 + 8.17585i) q^{81} +(2.46271 + 1.18598i) q^{82} +(-0.658226 - 2.88388i) q^{83} +(2.03457 - 8.91402i) q^{84} -3.21497 q^{85} +(3.07355 - 2.24804i) q^{86} -8.17016 q^{87} +(1.13656 - 4.97961i) q^{88} +(2.05605 + 9.00817i) q^{89} +(-4.02070 - 1.93627i) q^{90} +(-7.78154 + 9.75774i) q^{91} +15.5445 q^{92} +3.46874 q^{93} +(0.252008 - 0.316008i) q^{94} +(-12.0456 + 5.80083i) q^{95} +(-7.91513 - 9.92526i) q^{96} +(-7.32230 + 3.52623i) q^{97} +(-0.179692 + 0.787282i) q^{98} +(-3.57885 + 4.48774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.129219 0.566146i 0.0913718 0.400326i −0.908473 0.417943i \(-0.862751\pi\)
0.999845 + 0.0176176i \(0.00560815\pi\)
\(3\) −0.516629 2.26350i −0.298276 1.30683i −0.872693 0.488269i \(-0.837628\pi\)
0.574417 0.818563i \(-0.305229\pi\)
\(4\) 1.49811 + 0.721454i 0.749057 + 0.360727i
\(5\) −2.00450 + 2.51357i −0.896441 + 1.12410i 0.0952493 + 0.995453i \(0.469635\pi\)
−0.991690 + 0.128648i \(0.958936\pi\)
\(6\) −1.34823 −0.550413
\(7\) 2.36842 0.895178 0.447589 0.894239i \(-0.352283\pi\)
0.447589 + 0.894239i \(0.352283\pi\)
\(8\) 1.32616 1.66295i 0.468869 0.587943i
\(9\) −2.15362 + 1.03713i −0.717872 + 0.345709i
\(10\) 1.16403 + 1.45964i 0.368097 + 0.461580i
\(11\) 2.16354 1.04191i 0.652333 0.314147i −0.0782874 0.996931i \(-0.524945\pi\)
0.730620 + 0.682784i \(0.239231\pi\)
\(12\) 0.859041 3.76370i 0.247984 1.08649i
\(13\) −3.28554 + 4.11994i −0.911246 + 1.14267i 0.0780800 + 0.996947i \(0.475121\pi\)
−0.989326 + 0.145719i \(0.953450\pi\)
\(14\) 0.306045 1.34087i 0.0817940 0.358363i
\(15\) 6.72504 + 3.23861i 1.73640 + 0.836205i
\(16\) 1.30334 + 1.63434i 0.325836 + 0.408585i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) 0.308877 + 1.35328i 0.0728030 + 0.318971i
\(19\) 3.74670 + 1.80432i 0.859553 + 0.413939i 0.811115 0.584887i \(-0.198861\pi\)
0.0484384 + 0.998826i \(0.484576\pi\)
\(20\) −4.81640 + 2.31945i −1.07698 + 0.518646i
\(21\) −1.22359 5.36091i −0.267010 1.16985i
\(22\) −0.310301 1.35952i −0.0661564 0.289850i
\(23\) 8.42270 4.05616i 1.75625 0.845768i 0.781048 0.624471i \(-0.214685\pi\)
0.975207 0.221296i \(-0.0710288\pi\)
\(24\) −4.44923 2.14264i −0.908195 0.437364i
\(25\) −1.18738 5.20227i −0.237477 1.04045i
\(26\) 1.90793 + 2.39247i 0.374177 + 0.469203i
\(27\) −0.882529 1.10666i −0.169843 0.212976i
\(28\) 3.54816 + 1.70870i 0.670539 + 0.322915i
\(29\) 0.783058 3.43080i 0.145410 0.637084i −0.848715 0.528850i \(-0.822623\pi\)
0.994125 0.108234i \(-0.0345195\pi\)
\(30\) 2.70253 3.38887i 0.493412 0.618720i
\(31\) −0.332456 + 1.45658i −0.0597109 + 0.261610i −0.995968 0.0897038i \(-0.971408\pi\)
0.936258 + 0.351314i \(0.114265\pi\)
\(32\) 4.92641 2.37243i 0.870875 0.419391i
\(33\) −3.47611 4.35890i −0.605113 0.758787i
\(34\) 0.523198 0.251959i 0.0897277 0.0432106i
\(35\) −4.74750 + 5.95318i −0.802474 + 1.00627i
\(36\) −3.97460 −0.662434
\(37\) 2.55133 0.419437 0.209718 0.977762i \(-0.432745\pi\)
0.209718 + 0.977762i \(0.432745\pi\)
\(38\) 1.50565 1.88803i 0.244249 0.306279i
\(39\) 11.0229 + 5.30835i 1.76508 + 0.850016i
\(40\) 1.52165 + 6.66679i 0.240594 + 1.05411i
\(41\) −1.04741 + 4.58902i −0.163578 + 0.716684i 0.824894 + 0.565287i \(0.191234\pi\)
−0.988473 + 0.151397i \(0.951623\pi\)
\(42\) −3.19317 −0.492717
\(43\) 4.95192 + 4.29866i 0.755161 + 0.655539i
\(44\) 3.99292 0.601956
\(45\) 1.71004 7.49219i 0.254918 1.11687i
\(46\) −1.20800 5.29261i −0.178111 0.780353i
\(47\) 0.627102 + 0.301996i 0.0914722 + 0.0440507i 0.479060 0.877782i \(-0.340977\pi\)
−0.387588 + 0.921833i \(0.626692\pi\)
\(48\) 3.02599 3.79447i 0.436764 0.547684i
\(49\) −1.39060 −0.198657
\(50\) −3.09868 −0.438219
\(51\) 1.44756 1.81519i 0.202699 0.254177i
\(52\) −7.89447 + 3.80177i −1.09477 + 0.527211i
\(53\) −8.26400 10.3627i −1.13515 1.42343i −0.891182 0.453646i \(-0.850123\pi\)
−0.243966 0.969784i \(-0.578448\pi\)
\(54\) −0.740569 + 0.356639i −0.100779 + 0.0485324i
\(55\) −1.71792 + 7.52672i −0.231645 + 1.01490i
\(56\) 3.14090 3.93857i 0.419721 0.526313i
\(57\) 2.14842 9.41283i 0.284565 1.24676i
\(58\) −1.84115 0.886650i −0.241755 0.116423i
\(59\) −8.98962 11.2726i −1.17035 1.46757i −0.855025 0.518587i \(-0.826458\pi\)
−0.315324 0.948984i \(-0.602113\pi\)
\(60\) 7.73837 + 9.70361i 0.999019 + 1.25273i
\(61\) 1.06196 + 4.65274i 0.135970 + 0.595722i 0.996297 + 0.0859797i \(0.0274020\pi\)
−0.860327 + 0.509742i \(0.829741\pi\)
\(62\) 0.781680 + 0.376437i 0.0992735 + 0.0478076i
\(63\) −5.10066 + 2.45635i −0.642623 + 0.309471i
\(64\) 0.223758 + 0.980349i 0.0279698 + 0.122544i
\(65\) −3.76987 16.5169i −0.467595 2.04867i
\(66\) −2.91695 + 1.40473i −0.359052 + 0.172910i
\(67\) −12.3157 5.93094i −1.50460 0.724580i −0.513553 0.858058i \(-0.671671\pi\)
−0.991052 + 0.133478i \(0.957385\pi\)
\(68\) 0.370004 + 1.62109i 0.0448695 + 0.196586i
\(69\) −13.5325 16.9692i −1.62912 2.04286i
\(70\) 2.75690 + 3.45704i 0.329513 + 0.413196i
\(71\) 11.5939 + 5.58333i 1.37594 + 0.662620i 0.968131 0.250446i \(-0.0805772\pi\)
0.407813 + 0.913065i \(0.366291\pi\)
\(72\) −1.13135 + 4.95676i −0.133331 + 0.584160i
\(73\) 3.22368 4.04237i 0.377304 0.473124i −0.556532 0.830826i \(-0.687868\pi\)
0.933836 + 0.357702i \(0.116440\pi\)
\(74\) 0.329681 1.44443i 0.0383247 0.167911i
\(75\) −11.1619 + 5.37528i −1.28886 + 0.620684i
\(76\) 4.31126 + 5.40615i 0.494535 + 0.620128i
\(77\) 5.12418 2.46767i 0.583954 0.281217i
\(78\) 4.42967 5.55463i 0.501561 0.628938i
\(79\) 7.48005 0.841572 0.420786 0.907160i \(-0.361754\pi\)
0.420786 + 0.907160i \(0.361754\pi\)
\(80\) −6.72059 −0.751384
\(81\) −6.52002 + 8.17585i −0.724447 + 0.908428i
\(82\) 2.46271 + 1.18598i 0.271961 + 0.130969i
\(83\) −0.658226 2.88388i −0.0722497 0.316547i 0.925870 0.377842i \(-0.123334\pi\)
−0.998120 + 0.0612957i \(0.980477\pi\)
\(84\) 2.03457 8.91402i 0.221989 0.972599i
\(85\) −3.21497 −0.348713
\(86\) 3.07355 2.24804i 0.331430 0.242413i
\(87\) −8.17016 −0.875934
\(88\) 1.13656 4.97961i 0.121158 0.530828i
\(89\) 2.05605 + 9.00817i 0.217941 + 0.954864i 0.958996 + 0.283419i \(0.0914687\pi\)
−0.741055 + 0.671445i \(0.765674\pi\)
\(90\) −4.02070 1.93627i −0.423819 0.204101i
\(91\) −7.78154 + 9.75774i −0.815727 + 1.02289i
\(92\) 15.5445 1.62063
\(93\) 3.46874 0.359691
\(94\) 0.252008 0.316008i 0.0259926 0.0325937i
\(95\) −12.0456 + 5.80083i −1.23585 + 0.595153i
\(96\) −7.91513 9.92526i −0.807835 1.01299i
\(97\) −7.32230 + 3.52623i −0.743467 + 0.358035i −0.766965 0.641689i \(-0.778234\pi\)
0.0234979 + 0.999724i \(0.492520\pi\)
\(98\) −0.179692 + 0.787282i −0.0181516 + 0.0795275i
\(99\) −3.57885 + 4.48774i −0.359688 + 0.451035i
\(100\) 1.97436 8.65023i 0.197436 0.865023i
\(101\) 11.9271 + 5.74381i 1.18679 + 0.571530i 0.919884 0.392191i \(-0.128283\pi\)
0.266911 + 0.963721i \(0.413997\pi\)
\(102\) −0.840608 1.05409i −0.0832326 0.104370i
\(103\) −0.833725 1.04546i −0.0821494 0.103012i 0.739058 0.673641i \(-0.235271\pi\)
−0.821208 + 0.570629i \(0.806699\pi\)
\(104\) 2.49411 + 10.9274i 0.244568 + 1.07152i
\(105\) 15.9277 + 7.67038i 1.55439 + 0.748552i
\(106\) −6.93469 + 3.33957i −0.673556 + 0.324368i
\(107\) 2.98282 + 13.0686i 0.288360 + 1.26339i 0.886775 + 0.462201i \(0.152940\pi\)
−0.598415 + 0.801186i \(0.704203\pi\)
\(108\) −0.523728 2.29460i −0.0503957 0.220798i
\(109\) −14.4431 + 6.95541i −1.38339 + 0.666208i −0.969721 0.244217i \(-0.921469\pi\)
−0.413674 + 0.910425i \(0.635755\pi\)
\(110\) 4.03924 + 1.94519i 0.385126 + 0.185467i
\(111\) −1.31809 5.77494i −0.125108 0.548133i
\(112\) 3.08686 + 3.87080i 0.291681 + 0.365757i
\(113\) −1.95123 2.44677i −0.183556 0.230172i 0.681536 0.731784i \(-0.261312\pi\)
−0.865093 + 0.501612i \(0.832741\pi\)
\(114\) −5.05142 2.43264i −0.473109 0.227837i
\(115\) −6.68790 + 29.3016i −0.623650 + 2.73239i
\(116\) 3.64827 4.57479i 0.338734 0.424759i
\(117\) 2.80290 12.2803i 0.259128 1.13531i
\(118\) −7.54359 + 3.63280i −0.694443 + 0.334426i
\(119\) 1.47668 + 1.85170i 0.135367 + 0.169745i
\(120\) 14.3042 6.88852i 1.30578 0.628833i
\(121\) −3.26304 + 4.09172i −0.296640 + 0.371975i
\(122\) 2.77135 0.250907
\(123\) 10.9284 0.985377
\(124\) −1.54892 + 1.94228i −0.139097 + 0.174422i
\(125\) 0.973408 + 0.468769i 0.0870643 + 0.0419279i
\(126\) 0.731550 + 3.20513i 0.0651716 + 0.285536i
\(127\) 2.85359 12.5024i 0.253215 1.10941i −0.675133 0.737696i \(-0.735914\pi\)
0.928348 0.371712i \(-0.121229\pi\)
\(128\) 11.5197 1.01821
\(129\) 7.17171 13.4295i 0.631434 1.18240i
\(130\) −9.83811 −0.862859
\(131\) 4.70684 20.6220i 0.411239 1.80176i −0.167079 0.985944i \(-0.553433\pi\)
0.578318 0.815812i \(-0.303709\pi\)
\(132\) −2.06286 9.03798i −0.179549 0.786655i
\(133\) 8.87376 + 4.27338i 0.769453 + 0.370549i
\(134\) −4.94921 + 6.20611i −0.427546 + 0.536126i
\(135\) 4.55069 0.391661
\(136\) 2.12700 0.182389
\(137\) −3.12465 + 3.91819i −0.266957 + 0.334753i −0.897184 0.441658i \(-0.854391\pi\)
0.630227 + 0.776411i \(0.282962\pi\)
\(138\) −11.3557 + 5.46863i −0.966665 + 0.465521i
\(139\) 2.22670 + 2.79219i 0.188866 + 0.236831i 0.867245 0.497882i \(-0.165889\pi\)
−0.678379 + 0.734712i \(0.737317\pi\)
\(140\) −11.4072 + 5.49344i −0.964087 + 0.464280i
\(141\) 0.359590 1.57547i 0.0302829 0.132678i
\(142\) 4.65914 5.84237i 0.390986 0.490281i
\(143\) −2.81582 + 12.3369i −0.235471 + 1.03166i
\(144\) −4.50192 2.16801i −0.375160 0.180668i
\(145\) 7.05391 + 8.84532i 0.585795 + 0.734564i
\(146\) −1.87201 2.34743i −0.154929 0.194274i
\(147\) 0.718424 + 3.14762i 0.0592546 + 0.259611i
\(148\) 3.82219 + 1.84067i 0.314182 + 0.151302i
\(149\) −13.9092 + 6.69830i −1.13948 + 0.548746i −0.905858 0.423581i \(-0.860773\pi\)
−0.233625 + 0.972327i \(0.575059\pi\)
\(150\) 1.60087 + 7.01385i 0.130710 + 0.572679i
\(151\) 2.28119 + 9.99455i 0.185641 + 0.813345i 0.978880 + 0.204435i \(0.0655357\pi\)
−0.793240 + 0.608910i \(0.791607\pi\)
\(152\) 7.96923 3.83778i 0.646390 0.311285i
\(153\) −2.15362 1.03713i −0.174110 0.0838468i
\(154\) −0.734922 3.21990i −0.0592217 0.259467i
\(155\) −2.99481 3.75538i −0.240549 0.301639i
\(156\) 12.6838 + 15.9050i 1.01552 + 1.27342i
\(157\) 15.3132 + 7.37447i 1.22213 + 0.588547i 0.929904 0.367803i \(-0.119890\pi\)
0.292226 + 0.956349i \(0.405604\pi\)
\(158\) 0.966566 4.23480i 0.0768959 0.336903i
\(159\) −19.1866 + 24.0592i −1.52160 + 1.90802i
\(160\) −3.91173 + 17.1384i −0.309250 + 1.35491i
\(161\) 19.9485 9.60668i 1.57216 0.757112i
\(162\) 3.78621 + 4.74776i 0.297473 + 0.373019i
\(163\) −3.65083 + 1.75815i −0.285955 + 0.137709i −0.571363 0.820698i \(-0.693585\pi\)
0.285408 + 0.958406i \(0.407871\pi\)
\(164\) −4.87991 + 6.11921i −0.381057 + 0.477830i
\(165\) 17.9243 1.39540
\(166\) −1.71775 −0.133323
\(167\) −2.62365 + 3.28995i −0.203024 + 0.254584i −0.872911 0.487879i \(-0.837771\pi\)
0.669888 + 0.742463i \(0.266342\pi\)
\(168\) −10.5376 5.07466i −0.812996 0.391518i
\(169\) −3.28635 14.3984i −0.252796 1.10757i
\(170\) −0.415436 + 1.82015i −0.0318625 + 0.139599i
\(171\) −9.94027 −0.760152
\(172\) 4.31726 + 10.0125i 0.329188 + 0.763443i
\(173\) 8.89836 0.676530 0.338265 0.941051i \(-0.390160\pi\)
0.338265 + 0.941051i \(0.390160\pi\)
\(174\) −1.05574 + 4.62551i −0.0800356 + 0.350659i
\(175\) −2.81222 12.3211i −0.212584 0.931391i
\(176\) 4.52268 + 2.17801i 0.340910 + 0.164173i
\(177\) −20.8713 + 26.1718i −1.56878 + 1.96719i
\(178\) 5.36562 0.402170
\(179\) −18.3909 −1.37460 −0.687299 0.726375i \(-0.741204\pi\)
−0.687299 + 0.726375i \(0.741204\pi\)
\(180\) 7.96710 9.99043i 0.593833 0.744643i
\(181\) −6.16940 + 2.97103i −0.458568 + 0.220835i −0.648883 0.760888i \(-0.724763\pi\)
0.190315 + 0.981723i \(0.439049\pi\)
\(182\) 4.51879 + 5.66638i 0.334955 + 0.420020i
\(183\) 9.98283 4.80748i 0.737952 0.355379i
\(184\) 4.42466 19.3857i 0.326190 1.42913i
\(185\) −5.11416 + 6.41295i −0.376000 + 0.471489i
\(186\) 0.448227 1.96381i 0.0328656 0.143994i
\(187\) 2.16354 + 1.04191i 0.158214 + 0.0761918i
\(188\) 0.721594 + 0.904850i 0.0526276 + 0.0659930i
\(189\) −2.09020 2.62102i −0.152039 0.190651i
\(190\) 1.72760 + 7.56912i 0.125334 + 0.549122i
\(191\) −18.1103 8.72148i −1.31042 0.631064i −0.357392 0.933954i \(-0.616334\pi\)
−0.953025 + 0.302890i \(0.902048\pi\)
\(192\) 2.10342 1.01295i 0.151801 0.0731036i
\(193\) −1.60409 7.02797i −0.115465 0.505884i −0.999276 0.0380409i \(-0.987888\pi\)
0.883811 0.467843i \(-0.154969\pi\)
\(194\) 1.05018 + 4.60115i 0.0753987 + 0.330343i
\(195\) −35.4383 + 17.0662i −2.53779 + 1.22214i
\(196\) −2.08327 1.00325i −0.148805 0.0716609i
\(197\) −3.07208 13.4597i −0.218877 0.958961i −0.958310 0.285731i \(-0.907764\pi\)
0.739433 0.673230i \(-0.235094\pi\)
\(198\) 2.07826 + 2.60606i 0.147696 + 0.185204i
\(199\) −0.154002 0.193112i −0.0109169 0.0136893i 0.776343 0.630311i \(-0.217072\pi\)
−0.787260 + 0.616621i \(0.788501\pi\)
\(200\) −10.2258 4.92448i −0.723073 0.348213i
\(201\) −7.06202 + 30.9407i −0.498116 + 2.18239i
\(202\) 4.79305 6.01029i 0.337238 0.422883i
\(203\) 1.85461 8.12557i 0.130168 0.570303i
\(204\) 3.47818 1.67501i 0.243522 0.117274i
\(205\) −9.43526 11.8314i −0.658987 0.826344i
\(206\) −0.699616 + 0.336917i −0.0487445 + 0.0234741i
\(207\) −13.9325 + 17.4708i −0.968377 + 1.21431i
\(208\) −11.0156 −0.763794
\(209\) 9.98609 0.690752
\(210\) 6.40072 8.02625i 0.441692 0.553864i
\(211\) 2.95751 + 1.42426i 0.203603 + 0.0980501i 0.532907 0.846174i \(-0.321100\pi\)
−0.329304 + 0.944224i \(0.606814\pi\)
\(212\) −4.90418 21.4866i −0.336821 1.47571i
\(213\) 6.64812 29.1273i 0.455522 1.99577i
\(214\) 7.78417 0.532115
\(215\) −20.7311 + 3.83031i −1.41385 + 0.261225i
\(216\) −3.01069 −0.204852
\(217\) −0.787395 + 3.44980i −0.0534518 + 0.234188i
\(218\) 2.07146 + 9.07566i 0.140297 + 0.614681i
\(219\) −10.8153 5.20840i −0.730834 0.351951i
\(220\) −8.00383 + 10.0365i −0.539618 + 0.676659i
\(221\) −5.26960 −0.354472
\(222\) −3.43978 −0.230863
\(223\) 5.87319 7.36475i 0.393298 0.493180i −0.545277 0.838256i \(-0.683575\pi\)
0.938575 + 0.345076i \(0.112147\pi\)
\(224\) 11.6678 5.61892i 0.779588 0.375430i
\(225\) 7.95258 + 9.97222i 0.530172 + 0.664815i
\(226\) −1.63736 + 0.788513i −0.108916 + 0.0524511i
\(227\) 4.17681 18.2998i 0.277225 1.21460i −0.624061 0.781376i \(-0.714518\pi\)
0.901286 0.433226i \(-0.142625\pi\)
\(228\) 10.0095 12.5515i 0.662895 0.831243i
\(229\) −3.15137 + 13.8071i −0.208249 + 0.912397i 0.757483 + 0.652855i \(0.226429\pi\)
−0.965732 + 0.259542i \(0.916428\pi\)
\(230\) 15.7248 + 7.57266i 1.03686 + 0.499326i
\(231\) −8.23287 10.3237i −0.541683 0.679249i
\(232\) −4.66680 5.85198i −0.306391 0.384202i
\(233\) 4.10104 + 17.9678i 0.268668 + 1.17711i 0.911564 + 0.411159i \(0.134876\pi\)
−0.642896 + 0.765954i \(0.722267\pi\)
\(234\) −6.59026 3.17370i −0.430819 0.207471i
\(235\) −2.01612 + 0.970910i −0.131517 + 0.0633352i
\(236\) −5.33480 23.3733i −0.347266 1.52147i
\(237\) −3.86441 16.9311i −0.251020 1.09979i
\(238\) 1.23915 0.596744i 0.0803222 0.0386811i
\(239\) −3.59297 1.73028i −0.232410 0.111923i 0.314055 0.949405i \(-0.398312\pi\)
−0.546465 + 0.837482i \(0.684027\pi\)
\(240\) 3.47205 + 15.2120i 0.224120 + 0.981933i
\(241\) 1.36023 + 1.70568i 0.0876203 + 0.109872i 0.823709 0.567013i \(-0.191901\pi\)
−0.736089 + 0.676885i \(0.763329\pi\)
\(242\) 1.89486 + 2.37609i 0.121807 + 0.152741i
\(243\) 18.0486 + 8.69174i 1.15782 + 0.557576i
\(244\) −1.76580 + 7.73648i −0.113044 + 0.495277i
\(245\) 2.78746 3.49536i 0.178084 0.223311i
\(246\) 1.41215 6.18705i 0.0900357 0.394472i
\(247\) −19.7436 + 9.50804i −1.25626 + 0.604982i
\(248\) 1.98134 + 2.48453i 0.125815 + 0.157768i
\(249\) −6.18759 + 2.97979i −0.392123 + 0.188836i
\(250\) 0.391175 0.490518i 0.0247401 0.0310231i
\(251\) −17.1725 −1.08392 −0.541961 0.840404i \(-0.682318\pi\)
−0.541961 + 0.840404i \(0.682318\pi\)
\(252\) −9.41352 −0.592996
\(253\) 13.9967 17.5514i 0.879967 1.10344i
\(254\) −6.70944 3.23110i −0.420988 0.202737i
\(255\) 1.66095 + 7.27709i 0.104013 + 0.455709i
\(256\) 1.04106 4.56116i 0.0650660 0.285073i
\(257\) −8.94484 −0.557964 −0.278982 0.960296i \(-0.589997\pi\)
−0.278982 + 0.960296i \(0.589997\pi\)
\(258\) −6.67633 5.79558i −0.415650 0.360817i
\(259\) 6.04262 0.375470
\(260\) 6.26847 27.4639i 0.388754 1.70324i
\(261\) 1.87177 + 8.20076i 0.115860 + 0.507614i
\(262\) −11.0669 5.32952i −0.683714 0.329259i
\(263\) 4.89149 6.13373i 0.301622 0.378222i −0.607804 0.794087i \(-0.707950\pi\)
0.909427 + 0.415865i \(0.136521\pi\)
\(264\) −11.8585 −0.729842
\(265\) 42.6126 2.61767
\(266\) 3.56602 4.47164i 0.218647 0.274174i
\(267\) 19.3278 9.30776i 1.18284 0.569626i
\(268\) −14.1715 17.7704i −0.865659 1.08550i
\(269\) −14.9274 + 7.18866i −0.910140 + 0.438300i −0.829541 0.558446i \(-0.811398\pi\)
−0.0805995 + 0.996747i \(0.525683\pi\)
\(270\) 0.588036 2.57635i 0.0357867 0.156792i
\(271\) 5.12012 6.42042i 0.311025 0.390013i −0.601609 0.798791i \(-0.705473\pi\)
0.912634 + 0.408778i \(0.134045\pi\)
\(272\) −0.465158 + 2.03799i −0.0282044 + 0.123571i
\(273\) 26.1068 + 12.5724i 1.58006 + 0.760915i
\(274\) 1.81450 + 2.27531i 0.109618 + 0.137457i
\(275\) −7.98924 10.0182i −0.481769 0.604120i
\(276\) −8.03074 35.1850i −0.483393 2.11789i
\(277\) −18.9986 9.14923i −1.14151 0.549724i −0.235039 0.971986i \(-0.575522\pi\)
−0.906474 + 0.422262i \(0.861236\pi\)
\(278\) 1.86852 0.899833i 0.112067 0.0539684i
\(279\) −0.794681 3.48172i −0.0475763 0.208445i
\(280\) 3.60391 + 15.7897i 0.215375 + 0.943618i
\(281\) −19.9465 + 9.60572i −1.18991 + 0.573029i −0.920783 0.390076i \(-0.872449\pi\)
−0.269125 + 0.963105i \(0.586734\pi\)
\(282\) −0.845478 0.407161i −0.0503475 0.0242461i
\(283\) −3.33317 14.6036i −0.198137 0.868093i −0.972045 0.234795i \(-0.924558\pi\)
0.773908 0.633298i \(-0.218299\pi\)
\(284\) 13.3409 + 16.7289i 0.791636 + 0.992680i
\(285\) 19.3533 + 24.2682i 1.14639 + 1.43753i
\(286\) 6.62064 + 3.18833i 0.391487 + 0.188530i
\(287\) −2.48071 + 10.8687i −0.146432 + 0.641560i
\(288\) −8.14909 + 10.2186i −0.480190 + 0.602139i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) 5.91924 2.85056i 0.347590 0.167391i
\(291\) 11.7645 + 14.7523i 0.689650 + 0.864793i
\(292\) 7.74583 3.73019i 0.453290 0.218293i
\(293\) −3.93392 + 4.93298i −0.229822 + 0.288188i −0.883349 0.468715i \(-0.844717\pi\)
0.653527 + 0.756903i \(0.273289\pi\)
\(294\) 1.87485 0.109343
\(295\) 46.3542 2.69885
\(296\) 3.38348 4.24275i 0.196661 0.246605i
\(297\) −3.06242 1.47479i −0.177700 0.0855757i
\(298\) 1.99489 + 8.74017i 0.115561 + 0.506304i
\(299\) −10.9620 + 48.0277i −0.633950 + 2.77752i
\(300\) −20.5998 −1.18933
\(301\) 11.7282 + 10.1810i 0.676003 + 0.586824i
\(302\) 5.95315 0.342565
\(303\) 6.83920 29.9645i 0.392902 1.72141i
\(304\) 1.93437 + 8.47504i 0.110944 + 0.486077i
\(305\) −13.8237 6.65712i −0.791540 0.381186i
\(306\) −0.865454 + 1.08525i −0.0494747 + 0.0620394i
\(307\) −17.0976 −0.975813 −0.487907 0.872896i \(-0.662239\pi\)
−0.487907 + 0.872896i \(0.662239\pi\)
\(308\) 9.45691 0.538857
\(309\) −1.93567 + 2.42725i −0.110116 + 0.138081i
\(310\) −2.51308 + 1.21024i −0.142733 + 0.0687368i
\(311\) −19.2963 24.1968i −1.09419 1.37207i −0.922081 0.386997i \(-0.873512\pi\)
−0.172112 0.985077i \(-0.555059\pi\)
\(312\) 23.4457 11.2908i 1.32735 0.639218i
\(313\) 7.53161 32.9981i 0.425712 1.86516i −0.0713529 0.997451i \(-0.522732\pi\)
0.497065 0.867714i \(-0.334411\pi\)
\(314\) 6.15379 7.71661i 0.347279 0.435474i
\(315\) 4.05009 17.7446i 0.228197 0.999796i
\(316\) 11.2060 + 5.39651i 0.630385 + 0.303577i
\(317\) −7.00421 8.78301i −0.393396 0.493303i 0.545207 0.838301i \(-0.316451\pi\)
−0.938603 + 0.344998i \(0.887879\pi\)
\(318\) 11.1418 + 13.9713i 0.624800 + 0.783474i
\(319\) −1.88040 8.23856i −0.105282 0.461271i
\(320\) −2.91270 1.40268i −0.162825 0.0784122i
\(321\) 28.0397 13.5032i 1.56502 0.753676i
\(322\) −2.86106 12.5351i −0.159441 0.698555i
\(323\) 0.925360 + 4.05427i 0.0514884 + 0.225585i
\(324\) −15.6662 + 7.54446i −0.870346 + 0.419137i
\(325\) 25.3342 + 12.2003i 1.40529 + 0.676752i
\(326\) 0.523610 + 2.29409i 0.0290001 + 0.127058i
\(327\) 23.2053 + 29.0985i 1.28325 + 1.60915i
\(328\) 6.24229 + 7.82758i 0.344673 + 0.432206i
\(329\) 1.48524 + 0.715254i 0.0818839 + 0.0394332i
\(330\) 2.31616 10.1478i 0.127500 0.558615i
\(331\) 5.76397 7.22779i 0.316817 0.397275i −0.597769 0.801669i \(-0.703946\pi\)
0.914585 + 0.404393i \(0.132517\pi\)
\(332\) 1.09449 4.79525i 0.0600677 0.263174i
\(333\) −5.49460 + 2.64606i −0.301102 + 0.145003i
\(334\) 1.52357 + 1.91049i 0.0833659 + 0.104537i
\(335\) 39.5947 19.0678i 2.16329 1.04179i
\(336\) 7.16680 8.98688i 0.390981 0.490275i
\(337\) 16.5285 0.900364 0.450182 0.892937i \(-0.351359\pi\)
0.450182 + 0.892937i \(0.351359\pi\)
\(338\) −8.57628 −0.466488
\(339\) −4.53019 + 5.68068i −0.246046 + 0.308532i
\(340\) −4.81640 2.31945i −0.261206 0.125790i
\(341\) 0.798344 + 3.49777i 0.0432328 + 0.189415i
\(342\) −1.28447 + 5.62765i −0.0694564 + 0.304308i
\(343\) −19.8724 −1.07301
\(344\) 13.7155 2.53410i 0.739491 0.136630i
\(345\) 69.7793 3.75679
\(346\) 1.14984 5.03777i 0.0618157 0.270832i
\(347\) 0.888465 + 3.89262i 0.0476953 + 0.208967i 0.993161 0.116756i \(-0.0372495\pi\)
−0.945465 + 0.325723i \(0.894392\pi\)
\(348\) −12.2398 5.89439i −0.656124 0.315973i
\(349\) 6.65994 8.35130i 0.356498 0.447035i −0.570951 0.820984i \(-0.693425\pi\)
0.927449 + 0.373950i \(0.121997\pi\)
\(350\) −7.33896 −0.392284
\(351\) 7.45895 0.398129
\(352\) 8.18665 10.2657i 0.436350 0.547165i
\(353\) −12.2555 + 5.90193i −0.652293 + 0.314128i −0.730604 0.682801i \(-0.760762\pi\)
0.0783110 + 0.996929i \(0.475047\pi\)
\(354\) 12.1201 + 15.1981i 0.644175 + 0.807769i
\(355\) −37.2741 + 17.9503i −1.97830 + 0.952701i
\(356\) −3.41877 + 14.9786i −0.181194 + 0.793864i
\(357\) 3.42843 4.29912i 0.181452 0.227533i
\(358\) −2.37645 + 10.4119i −0.125599 + 0.550287i
\(359\) −19.8383 9.55360i −1.04702 0.504220i −0.170389 0.985377i \(-0.554502\pi\)
−0.876634 + 0.481157i \(0.840217\pi\)
\(360\) −10.1914 12.7796i −0.537132 0.673542i
\(361\) −1.06407 1.33431i −0.0560039 0.0702267i
\(362\) 0.884831 + 3.87670i 0.0465057 + 0.203755i
\(363\) 10.9474 + 5.27198i 0.574589 + 0.276707i
\(364\) −18.6974 + 9.00419i −0.980010 + 0.471948i
\(365\) 3.69889 + 16.2059i 0.193609 + 0.848255i
\(366\) −1.43176 6.27296i −0.0748394 0.327893i
\(367\) 20.2552 9.75440i 1.05731 0.509175i 0.177316 0.984154i \(-0.443258\pi\)
0.879997 + 0.474978i \(0.157544\pi\)
\(368\) 17.6068 + 8.47900i 0.917819 + 0.441999i
\(369\) −2.50367 10.9693i −0.130336 0.571038i
\(370\) 2.96982 + 3.72404i 0.154394 + 0.193603i
\(371\) −19.5726 24.5433i −1.01616 1.27422i
\(372\) 5.19656 + 2.50253i 0.269429 + 0.129750i
\(373\) 0.456840 2.00155i 0.0236543 0.103636i −0.961723 0.274024i \(-0.911645\pi\)
0.985377 + 0.170388i \(0.0545022\pi\)
\(374\) 0.869444 1.09025i 0.0449579 0.0563754i
\(375\) 0.558167 2.44549i 0.0288236 0.126284i
\(376\) 1.33384 0.642346i 0.0687878 0.0331265i
\(377\) 11.5619 + 14.4982i 0.595470 + 0.746695i
\(378\) −1.75398 + 0.844670i −0.0902148 + 0.0434452i
\(379\) −14.9150 + 18.7028i −0.766130 + 0.960697i −0.999933 0.0115870i \(-0.996312\pi\)
0.233802 + 0.972284i \(0.424883\pi\)
\(380\) −22.2306 −1.14041
\(381\) −29.7734 −1.52534
\(382\) −7.27783 + 9.12612i −0.372366 + 0.466933i
\(383\) −13.0904 6.30402i −0.668890 0.322120i 0.0684382 0.997655i \(-0.478198\pi\)
−0.737328 + 0.675535i \(0.763913\pi\)
\(384\) −5.95143 26.0749i −0.303708 1.33063i
\(385\) −4.06876 + 17.8264i −0.207363 + 0.908518i
\(386\) −4.18614 −0.213069
\(387\) −15.1228 4.12189i −0.768735 0.209528i
\(388\) −13.5137 −0.686052
\(389\) 2.49102 10.9139i 0.126299 0.553354i −0.871695 0.490049i \(-0.836979\pi\)
0.997994 0.0633050i \(-0.0201641\pi\)
\(390\) 5.08265 + 22.2685i 0.257370 + 1.12761i
\(391\) 8.42270 + 4.05616i 0.425954 + 0.205129i
\(392\) −1.84416 + 2.31250i −0.0931441 + 0.116799i
\(393\) −49.1096 −2.47725
\(394\) −8.01711 −0.403896
\(395\) −14.9938 + 18.8016i −0.754419 + 0.946012i
\(396\) −8.59923 + 4.14117i −0.432127 + 0.208102i
\(397\) −7.57791 9.50240i −0.380324 0.476912i 0.554418 0.832238i \(-0.312941\pi\)
−0.934742 + 0.355327i \(0.884370\pi\)
\(398\) −0.129229 + 0.0622336i −0.00647769 + 0.00311949i
\(399\) 5.08835 22.2935i 0.254736 1.11607i
\(400\) 6.95471 8.72094i 0.347736 0.436047i
\(401\) −6.45902 + 28.2988i −0.322548 + 1.41318i 0.510454 + 0.859905i \(0.329477\pi\)
−0.833002 + 0.553270i \(0.813380\pi\)
\(402\) 16.6044 + 7.99627i 0.828154 + 0.398818i
\(403\) −4.90875 6.15537i −0.244522 0.306621i
\(404\) 13.7243 + 17.2097i 0.682810 + 0.856217i
\(405\) −7.48114 32.7770i −0.371741 1.62870i
\(406\) −4.36061 2.09996i −0.216413 0.104219i
\(407\) 5.51992 2.65825i 0.273612 0.131765i
\(408\) −1.09887 4.81446i −0.0544021 0.238351i
\(409\) −0.579225 2.53775i −0.0286408 0.125484i 0.958587 0.284801i \(-0.0919277\pi\)
−0.987227 + 0.159318i \(0.949071\pi\)
\(410\) −7.91754 + 3.81289i −0.391020 + 0.188305i
\(411\) 10.4831 + 5.04840i 0.517093 + 0.249019i
\(412\) −0.494766 2.16771i −0.0243754 0.106795i
\(413\) −21.2912 26.6983i −1.04767 1.31374i
\(414\) 8.09069 + 10.1454i 0.397636 + 0.498620i
\(415\) 8.56823 + 4.12624i 0.420598 + 0.202549i
\(416\) −6.41165 + 28.0913i −0.314357 + 1.37729i
\(417\) 5.16975 6.48266i 0.253164 0.317457i
\(418\) 1.29039 5.65359i 0.0631153 0.276526i
\(419\) 7.21665 3.47535i 0.352556 0.169782i −0.249220 0.968447i \(-0.580174\pi\)
0.601776 + 0.798665i \(0.294460\pi\)
\(420\) 18.3277 + 22.9822i 0.894300 + 1.12142i
\(421\) 21.6379 10.4202i 1.05457 0.507852i 0.175463 0.984486i \(-0.443858\pi\)
0.879102 + 0.476634i \(0.158143\pi\)
\(422\) 1.18851 1.49034i 0.0578556 0.0725486i
\(423\) −1.66375 −0.0808941
\(424\) −28.1921 −1.36913
\(425\) 3.32697 4.17189i 0.161382 0.202367i
\(426\) −15.6313 7.52762i −0.757337 0.364714i
\(427\) 2.51516 + 11.0196i 0.121717 + 0.533277i
\(428\) −4.95977 + 21.7302i −0.239740 + 1.05037i
\(429\) 29.3793 1.41845
\(430\) −0.510341 + 12.2318i −0.0246108 + 0.589869i
\(431\) 5.85238 0.281899 0.140950 0.990017i \(-0.454984\pi\)
0.140950 + 0.990017i \(0.454984\pi\)
\(432\) 0.658416 2.88471i 0.0316780 0.138791i
\(433\) 6.06267 + 26.5623i 0.291353 + 1.27650i 0.882644 + 0.470043i \(0.155762\pi\)
−0.591290 + 0.806459i \(0.701381\pi\)
\(434\) 1.85135 + 0.891561i 0.0888674 + 0.0427963i
\(435\) 16.3771 20.5363i 0.785223 0.984638i
\(436\) −26.6554 −1.27656
\(437\) 38.8760 1.85969
\(438\) −4.34627 + 5.45004i −0.207673 + 0.260413i
\(439\) 10.8219 5.21157i 0.516503 0.248735i −0.157426 0.987531i \(-0.550320\pi\)
0.673929 + 0.738796i \(0.264605\pi\)
\(440\) 10.2383 + 12.8385i 0.488094 + 0.612050i
\(441\) 2.99482 1.44223i 0.142610 0.0686775i
\(442\) −0.680934 + 2.98337i −0.0323887 + 0.141904i
\(443\) −13.7199 + 17.2042i −0.651851 + 0.817396i −0.992429 0.122821i \(-0.960806\pi\)
0.340578 + 0.940216i \(0.389377\pi\)
\(444\) 2.19170 9.60246i 0.104013 0.455713i
\(445\) −26.7640 12.8889i −1.26874 0.610991i
\(446\) −3.41059 4.27675i −0.161496 0.202510i
\(447\) 22.3475 + 28.0228i 1.05700 + 1.32543i
\(448\) 0.529953 + 2.32187i 0.0250379 + 0.109698i
\(449\) −11.7566 5.66170i −0.554830 0.267192i 0.135389 0.990793i \(-0.456772\pi\)
−0.690219 + 0.723600i \(0.742486\pi\)
\(450\) 6.67336 3.21372i 0.314585 0.151496i
\(451\) 2.51521 + 11.0199i 0.118437 + 0.518904i
\(452\) −1.15794 5.07326i −0.0544648 0.238626i
\(453\) 21.4441 10.3269i 1.00753 0.485202i
\(454\) −9.82065 4.72937i −0.460906 0.221961i
\(455\) −8.92862 39.1189i −0.418580 1.83392i
\(456\) −12.8039 16.0556i −0.599600 0.751874i
\(457\) −4.06836 5.10157i −0.190310 0.238641i 0.677518 0.735506i \(-0.263056\pi\)
−0.867828 + 0.496865i \(0.834484\pi\)
\(458\) 7.40960 + 3.56828i 0.346228 + 0.166735i
\(459\) 0.314971 1.37998i 0.0147016 0.0644118i
\(460\) −31.1590 + 39.0721i −1.45280 + 1.82175i
\(461\) 5.05498 22.1473i 0.235434 1.03150i −0.709619 0.704586i \(-0.751133\pi\)
0.945053 0.326918i \(-0.106010\pi\)
\(462\) −6.90857 + 3.32699i −0.321416 + 0.154786i
\(463\) 22.0533 + 27.6540i 1.02490 + 1.28519i 0.957798 + 0.287443i \(0.0928052\pi\)
0.0671062 + 0.997746i \(0.478623\pi\)
\(464\) 6.62769 3.19173i 0.307683 0.148172i
\(465\) −6.95309 + 8.71890i −0.322442 + 0.404329i
\(466\) 10.7024 0.495777
\(467\) 19.3300 0.894488 0.447244 0.894412i \(-0.352406\pi\)
0.447244 + 0.894412i \(0.352406\pi\)
\(468\) 13.0587 16.3751i 0.603640 0.756941i
\(469\) −29.1688 14.0469i −1.34689 0.648627i
\(470\) 0.289156 + 1.26688i 0.0133378 + 0.0584367i
\(471\) 8.78084 38.4714i 0.404600 1.77267i
\(472\) −30.6675 −1.41159
\(473\) 15.1925 + 4.14089i 0.698552 + 0.190398i
\(474\) −10.0848 −0.463212
\(475\) 4.93777 21.6338i 0.226560 0.992626i
\(476\) 0.876323 + 3.83942i 0.0401662 + 0.175980i
\(477\) 28.5450 + 13.7465i 1.30698 + 0.629410i
\(478\) −1.44387 + 1.81056i −0.0660412 + 0.0828131i
\(479\) −16.3755 −0.748217 −0.374109 0.927385i \(-0.622051\pi\)
−0.374109 + 0.927385i \(0.622051\pi\)
\(480\) 40.8137 1.86288
\(481\) −8.38252 + 10.5113i −0.382210 + 0.479276i
\(482\) 1.14143 0.549684i 0.0519908 0.0250374i
\(483\) −32.0507 40.1903i −1.45836 1.82872i
\(484\) −7.84039 + 3.77573i −0.356381 + 0.171624i
\(485\) 5.81415 25.4734i 0.264007 1.15669i
\(486\) 7.25302 9.09500i 0.329004 0.412558i
\(487\) 6.85085 30.0155i 0.310442 1.36013i −0.543344 0.839510i \(-0.682842\pi\)
0.853786 0.520624i \(-0.174301\pi\)
\(488\) 9.14561 + 4.40429i 0.414002 + 0.199373i
\(489\) 5.86568 + 7.35533i 0.265255 + 0.332620i
\(490\) −1.61869 2.02978i −0.0731251 0.0916960i
\(491\) −0.266498 1.16760i −0.0120269 0.0526933i 0.968558 0.248786i \(-0.0800317\pi\)
−0.980585 + 0.196093i \(0.937175\pi\)
\(492\) 16.3719 + 7.88431i 0.738104 + 0.355452i
\(493\) 3.17054 1.52685i 0.142794 0.0687659i
\(494\) 2.83168 + 12.4064i 0.127403 + 0.558191i
\(495\) −4.10642 17.9914i −0.184570 0.808652i
\(496\) −2.81386 + 1.35508i −0.126346 + 0.0608451i
\(497\) 27.4592 + 13.2237i 1.23171 + 0.593162i
\(498\) 0.887440 + 3.88813i 0.0397671 + 0.174231i
\(499\) 6.91897 + 8.67612i 0.309736 + 0.388396i 0.912197 0.409752i \(-0.134385\pi\)
−0.602461 + 0.798148i \(0.705813\pi\)
\(500\) 1.12008 + 1.40454i 0.0500916 + 0.0628128i
\(501\) 8.80225 + 4.23894i 0.393255 + 0.189382i
\(502\) −2.21902 + 9.72217i −0.0990398 + 0.433922i
\(503\) 22.9005 28.7163i 1.02108 1.28039i 0.0617555 0.998091i \(-0.480330\pi\)
0.959325 0.282303i \(-0.0910985\pi\)
\(504\) −2.67951 + 11.7397i −0.119355 + 0.522927i
\(505\) −38.3454 + 18.4662i −1.70635 + 0.821734i
\(506\) −8.12799 10.1922i −0.361333 0.453097i
\(507\) −30.8930 + 14.8773i −1.37201 + 0.660724i
\(508\) 13.2949 16.6713i 0.589866 0.739668i
\(509\) 29.1393 1.29158 0.645788 0.763517i \(-0.276529\pi\)
0.645788 + 0.763517i \(0.276529\pi\)
\(510\) 4.33452 0.191936
\(511\) 7.63503 9.57402i 0.337754 0.423530i
\(512\) 18.3101 + 8.81768i 0.809200 + 0.389690i
\(513\) −1.30982 5.73868i −0.0578298 0.253369i
\(514\) −1.15584 + 5.06409i −0.0509821 + 0.223367i
\(515\) 4.29903 0.189438
\(516\) 20.4328 14.9448i 0.899503 0.657910i
\(517\) 1.67142 0.0735088
\(518\) 0.780823 3.42101i 0.0343074 0.150310i
\(519\) −4.59715 20.1414i −0.201793 0.884111i
\(520\) −32.4663 15.6349i −1.42374 0.685637i
\(521\) 7.90802 9.91634i 0.346457 0.434443i −0.577821 0.816163i \(-0.696097\pi\)
0.924278 + 0.381721i \(0.124668\pi\)
\(522\) 4.88470 0.213797
\(523\) −12.8676 −0.562660 −0.281330 0.959611i \(-0.590776\pi\)
−0.281330 + 0.959611i \(0.590776\pi\)
\(524\) 21.9292 27.4984i 0.957983 1.20127i
\(525\) −26.4360 + 12.7309i −1.15376 + 0.555623i
\(526\) −2.84052 3.56189i −0.123852 0.155306i
\(527\) −1.34609 + 0.648241i −0.0586365 + 0.0282378i
\(528\) 2.59337 11.3623i 0.112862 0.494480i
\(529\) 40.1492 50.3455i 1.74562 2.18893i
\(530\) 5.50637 24.1250i 0.239181 1.04792i
\(531\) 31.0513 + 14.9535i 1.34751 + 0.648928i
\(532\) 10.2109 + 12.8040i 0.442697 + 0.555124i
\(533\) −15.4652 19.3927i −0.669871 0.839991i
\(534\) −2.77203 12.1451i −0.119958 0.525569i
\(535\) −38.8278 18.6985i −1.67867 0.808406i
\(536\) −26.1955 + 12.6151i −1.13147 + 0.544889i
\(537\) 9.50125 + 41.6277i 0.410009 + 1.79637i
\(538\) 2.14093 + 9.38001i 0.0923019 + 0.404401i
\(539\) −3.00862 + 1.44888i −0.129590 + 0.0624075i
\(540\) 6.81745 + 3.28311i 0.293376 + 0.141283i
\(541\) 7.97529 + 34.9420i 0.342884 + 1.50227i 0.792954 + 0.609281i \(0.208542\pi\)
−0.450070 + 0.892993i \(0.648601\pi\)
\(542\) −2.97328 3.72838i −0.127713 0.160148i
\(543\) 9.91221 + 12.4295i 0.425374 + 0.533402i
\(544\) 4.92641 + 2.37243i 0.211218 + 0.101717i
\(545\) 11.4683 50.2458i 0.491247 2.15229i
\(546\) 10.4913 13.1557i 0.448986 0.563011i
\(547\) 5.74746 25.1813i 0.245744 1.07667i −0.689949 0.723858i \(-0.742367\pi\)
0.935693 0.352816i \(-0.114776\pi\)
\(548\) −7.50787 + 3.61560i −0.320721 + 0.154451i
\(549\) −7.11253 8.91883i −0.303555 0.380646i
\(550\) −6.70412 + 3.22854i −0.285865 + 0.137665i
\(551\) 9.12414 11.4413i 0.388701 0.487416i
\(552\) −46.1654 −1.96493
\(553\) 17.7159 0.753356
\(554\) −7.63478 + 9.57371i −0.324371 + 0.406748i
\(555\) 17.1578 + 8.26277i 0.728309 + 0.350735i
\(556\) 1.32141 + 5.78948i 0.0560404 + 0.245529i
\(557\) −5.57203 + 24.4127i −0.236095 + 1.03440i 0.708385 + 0.705827i \(0.249424\pi\)
−0.944479 + 0.328571i \(0.893433\pi\)
\(558\) −2.07385 −0.0877932
\(559\) −33.9800 + 6.27819i −1.43720 + 0.265539i
\(560\) −15.9172 −0.672622
\(561\) 1.24061 5.43546i 0.0523785 0.229485i
\(562\) 2.86077 + 12.5339i 0.120674 + 0.528709i
\(563\) −23.3351 11.2376i −0.983459 0.473609i −0.128165 0.991753i \(-0.540909\pi\)
−0.855293 + 0.518144i \(0.826623\pi\)
\(564\) 1.67533 2.10080i 0.0705442 0.0884596i
\(565\) 10.0614 0.423285
\(566\) −8.69848 −0.365624
\(567\) −15.4421 + 19.3638i −0.648509 + 0.813204i
\(568\) 24.6602 11.8757i 1.03472 0.498295i
\(569\) −5.41058 6.78465i −0.226823 0.284428i 0.655377 0.755302i \(-0.272510\pi\)
−0.882200 + 0.470875i \(0.843938\pi\)
\(570\) 16.2402 7.82086i 0.680226 0.327580i
\(571\) −7.26770 + 31.8419i −0.304144 + 1.33254i 0.559664 + 0.828719i \(0.310930\pi\)
−0.863808 + 0.503821i \(0.831927\pi\)
\(572\) −13.1189 + 16.4506i −0.548530 + 0.687835i
\(573\) −10.3847 + 45.4985i −0.433829 + 1.90073i
\(574\) 5.83272 + 2.80889i 0.243453 + 0.117241i
\(575\) −31.1022 39.0009i −1.29705 1.62645i
\(576\) −1.49864 1.87923i −0.0624432 0.0783012i
\(577\) 3.79774 + 16.6390i 0.158102 + 0.692690i 0.990385 + 0.138339i \(0.0441763\pi\)
−0.832283 + 0.554351i \(0.812967\pi\)
\(578\) 0.523198 + 0.251959i 0.0217622 + 0.0104801i
\(579\) −15.0791 + 7.26170i −0.626665 + 0.301786i
\(580\) 4.18607 + 18.3404i 0.173817 + 0.761542i
\(581\) −1.55895 6.83022i −0.0646763 0.283365i
\(582\) 9.87215 4.75417i 0.409214 0.197067i
\(583\) −28.6765 13.8099i −1.18766 0.571947i
\(584\) −2.44715 10.7217i −0.101264 0.443666i
\(585\) 25.2490 + 31.6612i 1.04392 + 1.30903i
\(586\) 2.28445 + 2.86461i 0.0943699 + 0.118336i
\(587\) 14.5350 + 6.99971i 0.599926 + 0.288909i 0.709094 0.705114i \(-0.249104\pi\)
−0.109168 + 0.994023i \(0.534819\pi\)
\(588\) −1.19458 + 5.23380i −0.0492637 + 0.215838i
\(589\) −3.87376 + 4.85754i −0.159615 + 0.200151i
\(590\) 5.98985 26.2433i 0.246598 1.08042i
\(591\) −28.8788 + 13.9073i −1.18792 + 0.572070i
\(592\) 3.32527 + 4.16975i 0.136668 + 0.171376i
\(593\) 0.481984 0.232111i 0.0197927 0.00953166i −0.423961 0.905680i \(-0.639361\pi\)
0.443754 + 0.896149i \(0.353646\pi\)
\(594\) −1.23067 + 1.54321i −0.0504949 + 0.0633186i
\(595\) −7.61440 −0.312160
\(596\) −25.6700 −1.05148
\(597\) −0.357547 + 0.448349i −0.0146334 + 0.0183497i
\(598\) 25.7742 + 12.4122i 1.05399 + 0.507573i
\(599\) −6.80150 29.7993i −0.277902 1.21757i −0.900441 0.434979i \(-0.856756\pi\)
0.622539 0.782589i \(-0.286101\pi\)
\(600\) −5.86362 + 25.6902i −0.239381 + 1.04880i
\(601\) −25.1697 −1.02669 −0.513347 0.858181i \(-0.671595\pi\)
−0.513347 + 0.858181i \(0.671595\pi\)
\(602\) 7.27946 5.32430i 0.296689 0.217002i
\(603\) 32.6745 1.33061
\(604\) −3.79312 + 16.6187i −0.154340 + 0.676207i
\(605\) −3.74404 16.4037i −0.152217 0.666906i
\(606\) −16.0805 7.74397i −0.653226 0.314577i
\(607\) 10.7011 13.4187i 0.434344 0.544650i −0.515699 0.856770i \(-0.672468\pi\)
0.950043 + 0.312120i \(0.101039\pi\)
\(608\) 22.7384 0.922165
\(609\) −19.3504 −0.784116
\(610\) −5.55519 + 6.96599i −0.224923 + 0.282044i
\(611\) −3.30458 + 1.59140i −0.133689 + 0.0643812i
\(612\) −2.47812 3.10747i −0.100172 0.125612i
\(613\) −1.82092 + 0.876911i −0.0735464 + 0.0354181i −0.470295 0.882509i \(-0.655853\pi\)
0.396749 + 0.917927i \(0.370138\pi\)
\(614\) −2.20934 + 9.67976i −0.0891618 + 0.390643i
\(615\) −21.9059 + 27.4692i −0.883333 + 1.10766i
\(616\) 2.69186 11.7938i 0.108458 0.475186i
\(617\) 34.5909 + 16.6581i 1.39258 + 0.670630i 0.971641 0.236461i \(-0.0759875\pi\)
0.420936 + 0.907091i \(0.361702\pi\)
\(618\) 1.12405 + 1.40952i 0.0452161 + 0.0566991i
\(619\) −25.8292 32.3888i −1.03816 1.30182i −0.952186 0.305520i \(-0.901170\pi\)
−0.0859792 0.996297i \(-0.527402\pi\)
\(620\) −1.77724 7.78661i −0.0713757 0.312718i
\(621\) −11.9220 5.74136i −0.478415 0.230393i
\(622\) −16.1924 + 7.79784i −0.649255 + 0.312665i
\(623\) 4.86960 + 21.3351i 0.195096 + 0.854773i
\(624\) 5.69097 + 24.9338i 0.227821 + 0.998150i
\(625\) 20.9086 10.0691i 0.836344 0.402762i
\(626\) −17.7085 8.52798i −0.707776 0.340847i
\(627\) −5.15910 22.6035i −0.206035 0.902697i
\(628\) 17.6206 + 22.0956i 0.703140 + 0.881710i
\(629\) 1.59073 + 1.99471i 0.0634266 + 0.0795344i
\(630\) −9.52270 4.58589i −0.379394 0.182706i
\(631\) −8.92899 + 39.1204i −0.355457 + 1.55736i 0.408907 + 0.912576i \(0.365910\pi\)
−0.764365 + 0.644784i \(0.776947\pi\)
\(632\) 9.91976 12.4390i 0.394587 0.494796i
\(633\) 1.69588 7.43013i 0.0674051 0.295321i
\(634\) −5.87754 + 2.83048i −0.233427 + 0.112413i
\(635\) 25.7056 + 32.2338i 1.02009 + 1.27916i
\(636\) −46.1013 + 22.2012i −1.82804 + 0.880336i
\(637\) 4.56887 5.72919i 0.181025 0.226999i
\(638\) −4.90721 −0.194278
\(639\) −30.7595 −1.21683
\(640\) −23.0914 + 28.9556i −0.912766 + 1.14457i
\(641\) 38.2933 + 18.4411i 1.51249 + 0.728378i 0.992088 0.125541i \(-0.0400667\pi\)
0.520405 + 0.853920i \(0.325781\pi\)
\(642\) −4.02153 17.6195i −0.158717 0.695384i
\(643\) −2.90373 + 12.7221i −0.114512 + 0.501709i 0.884846 + 0.465883i \(0.154263\pi\)
−0.999358 + 0.0358257i \(0.988594\pi\)
\(644\) 36.8159 1.45075
\(645\) 19.3802 + 44.9460i 0.763095 + 1.76975i
\(646\) 2.41488 0.0950122
\(647\) −4.57409 + 20.0404i −0.179826 + 0.787870i 0.801883 + 0.597481i \(0.203832\pi\)
−0.981709 + 0.190388i \(0.939025\pi\)
\(648\) 4.94946 + 21.6850i 0.194433 + 0.851867i
\(649\) −31.1945 15.0225i −1.22449 0.589683i
\(650\) 10.1808 12.7664i 0.399325 0.500738i
\(651\) 8.21541 0.321987
\(652\) −6.73777 −0.263872
\(653\) −2.55632 + 3.20552i −0.100036 + 0.125442i −0.829330 0.558759i \(-0.811278\pi\)
0.729293 + 0.684201i \(0.239849\pi\)
\(654\) 19.4726 9.37750i 0.761438 0.366689i
\(655\) 42.4000 + 53.1679i 1.65670 + 2.07744i
\(656\) −8.86516 + 4.26924i −0.346127 + 0.166686i
\(657\) −2.75013 + 12.0491i −0.107293 + 0.470080i
\(658\) 0.596860 0.748438i 0.0232680 0.0291772i
\(659\) −8.23550 + 36.0821i −0.320810 + 1.40556i 0.515306 + 0.857006i \(0.327678\pi\)
−0.836116 + 0.548553i \(0.815179\pi\)
\(660\) 26.8526 + 12.9315i 1.04524 + 0.503359i
\(661\) 1.25350 + 1.57184i 0.0487557 + 0.0611377i 0.805611 0.592444i \(-0.201837\pi\)
−0.756856 + 0.653582i \(0.773266\pi\)
\(662\) −3.34717 4.19722i −0.130092 0.163130i
\(663\) 2.72243 + 11.9277i 0.105730 + 0.463235i
\(664\) −5.66867 2.72989i −0.219987 0.105940i
\(665\) −28.5289 + 13.7388i −1.10630 + 0.532768i
\(666\) 0.788048 + 3.45267i 0.0305363 + 0.133788i
\(667\) −7.32041 32.0728i −0.283447 1.24186i
\(668\) −6.30407 + 3.03588i −0.243912 + 0.117462i
\(669\) −19.7044 9.48912i −0.761814 0.366870i
\(670\) −5.67877 24.8803i −0.219390 0.961211i
\(671\) 7.14531 + 8.95994i 0.275842 + 0.345895i
\(672\) −18.7463 23.5072i −0.723156 0.906808i
\(673\) −6.44010 3.10139i −0.248248 0.119550i 0.305623 0.952153i \(-0.401135\pi\)
−0.553870 + 0.832603i \(0.686850\pi\)
\(674\) 2.13580 9.35754i 0.0822679 0.360439i
\(675\) −4.70922 + 5.90518i −0.181258 + 0.227290i
\(676\) 5.46448 23.9415i 0.210172 0.920825i
\(677\) −13.4884 + 6.49565i −0.518400 + 0.249648i −0.674741 0.738055i \(-0.735744\pi\)
0.156341 + 0.987703i \(0.450030\pi\)
\(678\) 2.63071 + 3.29880i 0.101032 + 0.126690i
\(679\) −17.3423 + 8.35159i −0.665535 + 0.320505i
\(680\) −4.26357 + 5.34635i −0.163501 + 0.205023i
\(681\) −43.5795 −1.66997
\(682\) 2.08341 0.0797780
\(683\) 18.7154 23.4684i 0.716125 0.897993i −0.281986 0.959418i \(-0.590993\pi\)
0.998112 + 0.0614256i \(0.0195647\pi\)
\(684\) −14.8917 7.17145i −0.569397 0.274207i
\(685\) −3.58526 15.7080i −0.136986 0.600173i
\(686\) −2.56790 + 11.2507i −0.0980429 + 0.429554i
\(687\) 32.8804 1.25446
\(688\) −0.571421 + 13.6958i −0.0217852 + 0.522146i
\(689\) 69.8456 2.66090
\(690\) 9.01683 39.5053i 0.343265 1.50394i
\(691\) 0.537561 + 2.35521i 0.0204498 + 0.0895964i 0.984123 0.177488i \(-0.0567970\pi\)
−0.963673 + 0.267084i \(0.913940\pi\)
\(692\) 13.3308 + 6.41975i 0.506759 + 0.244042i
\(693\) −8.47622 + 10.6288i −0.321985 + 0.403756i
\(694\) 2.31860 0.0880128
\(695\) −11.4818 −0.435529
\(696\) −10.8350 + 13.5866i −0.410698 + 0.514999i
\(697\) −4.24089 + 2.04231i −0.160635 + 0.0773578i
\(698\) −3.86746 4.84965i −0.146386 0.183562i
\(699\) 38.5515 18.5654i 1.45815 0.702209i
\(700\) 4.67611 20.4874i 0.176740 0.774349i
\(701\) 13.1007 16.4278i 0.494808 0.620469i −0.470242 0.882538i \(-0.655833\pi\)
0.965049 + 0.262069i \(0.0844047\pi\)
\(702\) 0.963839 4.22285i 0.0363778 0.159381i
\(703\) 9.55909 + 4.60342i 0.360528 + 0.173621i
\(704\) 1.50554 + 1.88789i 0.0567423 + 0.0711526i
\(705\) 3.23924 + 4.06188i 0.121997 + 0.152979i
\(706\) 1.75771 + 7.70104i 0.0661523 + 0.289832i
\(707\) 28.2484 + 13.6037i 1.06239 + 0.511621i
\(708\) −50.1493 + 24.1506i −1.88472 + 0.907636i
\(709\) −4.48802 19.6633i −0.168551 0.738471i −0.986578 0.163291i \(-0.947789\pi\)
0.818027 0.575180i \(-0.195068\pi\)
\(710\) 5.34594 + 23.4221i 0.200630 + 0.879016i
\(711\) −16.1092 + 7.75777i −0.604141 + 0.290939i
\(712\) 17.7068 + 8.52716i 0.663591 + 0.319569i
\(713\) 3.10796 + 13.6169i 0.116394 + 0.509956i
\(714\) −1.99091 2.49652i −0.0745079 0.0934300i
\(715\) −25.3653 31.8071i −0.948610 1.18952i
\(716\) −27.5516 13.2682i −1.02965 0.495854i
\(717\) −2.06026 + 9.02659i −0.0769418 + 0.337104i
\(718\) −7.97222 + 9.99684i −0.297520 + 0.373079i
\(719\) −5.66224 + 24.8079i −0.211166 + 0.925178i 0.752610 + 0.658466i \(0.228794\pi\)
−0.963776 + 0.266712i \(0.914063\pi\)
\(720\) 14.4736 6.97010i 0.539398 0.259760i
\(721\) −1.97461 2.47608i −0.0735383 0.0922141i
\(722\) −0.892912 + 0.430004i −0.0332307 + 0.0160031i
\(723\) 3.15807 3.96009i 0.117450 0.147277i
\(724\) −11.3859 −0.423155
\(725\) −18.7777 −0.697387
\(726\) 4.39932 5.51658i 0.163274 0.204739i
\(727\) 2.17886 + 1.04929i 0.0808096 + 0.0389158i 0.473852 0.880605i \(-0.342863\pi\)
−0.393042 + 0.919520i \(0.628577\pi\)
\(728\) 5.90710 + 25.8807i 0.218932 + 0.959202i
\(729\) 3.36842 14.7580i 0.124756 0.546593i
\(730\) 9.65287 0.357269
\(731\) −0.273355 + 6.55174i −0.0101104 + 0.242325i
\(732\) 18.4238 0.680963
\(733\) −8.48190 + 37.1616i −0.313286 + 1.37260i 0.535801 + 0.844344i \(0.320010\pi\)
−0.849088 + 0.528252i \(0.822848\pi\)
\(734\) −2.90505 12.7279i −0.107227 0.469794i
\(735\) −9.35183 4.50361i −0.344948 0.166118i
\(736\) 31.8707 39.9646i 1.17477 1.47312i
\(737\) −32.8251 −1.20913
\(738\) −6.53374 −0.240510
\(739\) 16.8120 21.0816i 0.618439 0.775498i −0.369685 0.929157i \(-0.620534\pi\)
0.988124 + 0.153659i \(0.0491057\pi\)
\(740\) −12.2882 + 5.91770i −0.451724 + 0.217539i
\(741\) 31.7216 + 39.7776i 1.16532 + 1.46127i
\(742\) −16.4242 + 7.90949i −0.602953 + 0.290367i
\(743\) 0.791665 3.46851i 0.0290434 0.127247i −0.958328 0.285670i \(-0.907784\pi\)
0.987371 + 0.158423i \(0.0506409\pi\)
\(744\) 4.60010 5.76835i 0.168648 0.211478i
\(745\) 11.0443 48.3884i 0.404633 1.77281i
\(746\) −1.07414 0.517276i −0.0393269 0.0189388i
\(747\) 4.40851 + 5.52810i 0.161299 + 0.202263i
\(748\) 2.48955 + 3.12179i 0.0910268 + 0.114144i
\(749\) 7.06456 + 30.9519i 0.258133 + 1.13096i
\(750\) −1.31238 0.632008i −0.0479213 0.0230777i
\(751\) 20.9001 10.0650i 0.762656 0.367276i −0.0117778 0.999931i \(-0.503749\pi\)
0.774434 + 0.632655i \(0.218035\pi\)
\(752\) 0.323764 + 1.41850i 0.0118065 + 0.0517275i
\(753\) 8.87183 + 38.8700i 0.323308 + 1.41650i
\(754\) 9.70212 4.67230i 0.353331 0.170155i
\(755\) −29.6946 14.3002i −1.08070 0.520437i
\(756\) −1.24041 5.43457i −0.0451131 0.197653i
\(757\) 6.14276 + 7.70278i 0.223263 + 0.279962i 0.880829 0.473434i \(-0.156986\pi\)
−0.657567 + 0.753396i \(0.728414\pi\)
\(758\) 8.66121 + 10.8608i 0.314589 + 0.394482i