Properties

Label 552.2.bb.a.13.14
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 13.14
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.832989 + 1.14286i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(-0.612258 - 1.90398i) q^{4} +(2.21313 + 1.01070i) q^{5} +(-0.511087 - 1.31863i) q^{6} +(-3.93606 - 1.15573i) q^{7} +(2.68599 + 0.886269i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.832989 + 1.14286i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(-0.612258 - 1.90398i) q^{4} +(2.21313 + 1.01070i) q^{5} +(-0.511087 - 1.31863i) q^{6} +(-3.93606 - 1.15573i) q^{7} +(2.68599 + 0.886269i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(-2.99860 + 1.68739i) q^{10} +(-1.69367 - 1.46758i) q^{11} +(1.93274 + 0.514305i) q^{12} +(-0.366797 - 1.24920i) q^{13} +(4.59954 - 3.53566i) q^{14} +(-2.04676 + 1.31537i) q^{15} +(-3.25028 + 2.33146i) q^{16} +(-0.326777 - 2.27279i) q^{17} +(1.38562 + 0.282952i) q^{18} +(-3.05560 - 0.439329i) q^{19} +(0.569349 - 4.83256i) q^{20} +(3.10026 - 2.68639i) q^{21} +(3.08804 - 0.713156i) q^{22} +(-4.34498 - 2.03006i) q^{23} +(-2.19773 + 1.78044i) q^{24} +(0.602107 + 0.694868i) q^{25} +(1.73319 + 0.621369i) q^{26} +(0.989821 + 0.142315i) q^{27} +(0.209396 + 8.20179i) q^{28} +(-6.81354 + 0.979640i) q^{29} +(0.201642 - 3.43485i) q^{30} +(0.892638 - 0.573664i) q^{31} +(0.0429204 - 5.65669i) q^{32} +(2.15027 - 0.631376i) q^{33} +(2.86968 + 1.51975i) q^{34} +(-7.54290 - 6.53596i) q^{35} +(-1.47758 + 1.34787i) q^{36} +(1.62977 - 0.744293i) q^{37} +(3.04738 - 3.12617i) q^{38} +(1.24920 + 0.366797i) q^{39} +(5.04868 + 4.67615i) q^{40} +(4.91248 - 10.7568i) q^{41} +(0.487686 + 5.78090i) q^{42} +(-1.53959 + 2.39564i) q^{43} +(-1.75727 + 4.12325i) q^{44} -2.43299i q^{45} +(5.93939 - 3.27469i) q^{46} +9.60060 q^{47} +(-0.204111 - 3.99479i) q^{48} +(8.26810 + 5.31359i) q^{49} +(-1.29569 + 0.109306i) q^{50} +(2.08866 + 0.953858i) q^{51} +(-2.15387 + 1.46320i) q^{52} +(-2.57267 + 8.76172i) q^{53} +(-0.987156 + 1.01268i) q^{54} +(-2.26503 - 4.95972i) q^{55} +(-9.54793 - 6.59269i) q^{56} +(2.02157 - 2.33302i) q^{57} +(4.55602 - 8.60296i) q^{58} +(-2.65301 - 9.03534i) q^{59} +(3.75759 + 3.09164i) q^{60} +(-3.08448 - 4.79955i) q^{61} +(-0.0879405 + 1.49802i) q^{62} +(0.583809 + 4.06048i) q^{63} +(6.42905 + 4.76101i) q^{64} +(0.450795 - 3.13535i) q^{65} +(-1.06958 + 2.98339i) q^{66} +(3.69443 - 3.20124i) q^{67} +(-4.12727 + 2.01371i) q^{68} +(4.05687 - 2.55770i) q^{69} +(13.7528 - 3.17610i) q^{70} +(-3.08398 - 3.55910i) q^{71} +(-0.309621 - 2.81143i) q^{72} +(-1.00106 + 6.96251i) q^{73} +(-0.506962 + 2.48259i) q^{74} +(-0.910084 + 0.130850i) q^{75} +(1.03434 + 6.08679i) q^{76} +(4.97028 + 7.73390i) q^{77} +(-1.45976 + 1.12212i) q^{78} +(-2.34151 + 0.687529i) q^{79} +(-9.54968 + 1.87474i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(8.20151 + 14.5746i) q^{82} +(6.16808 - 2.81687i) q^{83} +(-7.01300 - 4.25807i) q^{84} +(1.57391 - 5.36024i) q^{85} +(-1.45543 - 3.75508i) q^{86} +(2.85955 - 6.26155i) q^{87} +(-3.24851 - 5.44294i) q^{88} +(0.684426 + 0.439854i) q^{89} +(2.78057 + 2.02665i) q^{90} +5.34083i q^{91} +(-1.20494 + 9.51568i) q^{92} +1.06108i q^{93} +(-7.99719 + 10.9721i) q^{94} +(-6.31840 - 4.06059i) q^{95} +(4.73551 + 3.09435i) q^{96} +(-3.23759 + 7.08933i) q^{97} +(-12.9599 + 5.02313i) q^{98} +(-0.631376 + 2.15027i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.832989 + 1.14286i −0.589012 + 0.808124i
\(3\) −0.540641 + 0.841254i −0.312139 + 0.485698i
\(4\) −0.612258 1.90398i −0.306129 0.951990i
\(5\) 2.21313 + 1.01070i 0.989740 + 0.451999i 0.843430 0.537240i \(-0.180533\pi\)
0.146310 + 0.989239i \(0.453260\pi\)
\(6\) −0.511087 1.31863i −0.208650 0.538329i
\(7\) −3.93606 1.15573i −1.48769 0.436826i −0.565888 0.824482i \(-0.691467\pi\)
−0.921804 + 0.387656i \(0.873285\pi\)
\(8\) 2.68599 + 0.886269i 0.949640 + 0.313343i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) −2.99860 + 1.68739i −0.948240 + 0.533600i
\(11\) −1.69367 1.46758i −0.510661 0.442491i 0.361024 0.932557i \(-0.382427\pi\)
−0.871685 + 0.490066i \(0.836973\pi\)
\(12\) 1.93274 + 0.514305i 0.557934 + 0.148467i
\(13\) −0.366797 1.24920i −0.101731 0.346465i 0.892860 0.450335i \(-0.148695\pi\)
−0.994591 + 0.103870i \(0.966877\pi\)
\(14\) 4.59954 3.53566i 1.22928 0.944944i
\(15\) −2.04676 + 1.31537i −0.528472 + 0.339628i
\(16\) −3.25028 + 2.33146i −0.812570 + 0.582864i
\(17\) −0.326777 2.27279i −0.0792551 0.551232i −0.990302 0.138929i \(-0.955634\pi\)
0.911047 0.412302i \(-0.135275\pi\)
\(18\) 1.38562 + 0.282952i 0.326593 + 0.0666925i
\(19\) −3.05560 0.439329i −0.701003 0.100789i −0.217408 0.976081i \(-0.569760\pi\)
−0.483595 + 0.875292i \(0.660669\pi\)
\(20\) 0.569349 4.83256i 0.127310 1.08059i
\(21\) 3.10026 2.68639i 0.676532 0.586219i
\(22\) 3.08804 0.713156i 0.658373 0.152045i
\(23\) −4.34498 2.03006i −0.905991 0.423296i
\(24\) −2.19773 + 1.78044i −0.448610 + 0.363431i
\(25\) 0.602107 + 0.694868i 0.120421 + 0.138974i
\(26\) 1.73319 + 0.621369i 0.339907 + 0.121860i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 0.209396 + 8.20179i 0.0395721 + 1.54999i
\(29\) −6.81354 + 0.979640i −1.26524 + 0.181915i −0.742076 0.670316i \(-0.766159\pi\)
−0.523167 + 0.852230i \(0.675250\pi\)
\(30\) 0.201642 3.43485i 0.0368146 0.627116i
\(31\) 0.892638 0.573664i 0.160323 0.103033i −0.458020 0.888942i \(-0.651441\pi\)
0.618342 + 0.785909i \(0.287805\pi\)
\(32\) 0.0429204 5.65669i 0.00758733 0.999971i
\(33\) 2.15027 0.631376i 0.374314 0.109909i
\(34\) 2.86968 + 1.51975i 0.492146 + 0.260634i
\(35\) −7.54290 6.53596i −1.27498 1.10478i
\(36\) −1.47758 + 1.34787i −0.246263 + 0.224645i
\(37\) 1.62977 0.744293i 0.267933 0.122361i −0.276918 0.960893i \(-0.589313\pi\)
0.544852 + 0.838532i \(0.316586\pi\)
\(38\) 3.04738 3.12617i 0.494350 0.507132i
\(39\) 1.24920 + 0.366797i 0.200031 + 0.0587345i
\(40\) 5.04868 + 4.67615i 0.798266 + 0.739365i
\(41\) 4.91248 10.7568i 0.767200 1.67993i 0.0344796 0.999405i \(-0.489023\pi\)
0.732721 0.680529i \(-0.238250\pi\)
\(42\) 0.487686 + 5.78090i 0.0752516 + 0.892012i
\(43\) −1.53959 + 2.39564i −0.234785 + 0.365332i −0.938575 0.345076i \(-0.887853\pi\)
0.703790 + 0.710408i \(0.251490\pi\)
\(44\) −1.75727 + 4.12325i −0.264918 + 0.621604i
\(45\) 2.43299i 0.362689i
\(46\) 5.93939 3.27469i 0.875716 0.482827i
\(47\) 9.60060 1.40039 0.700196 0.713951i \(-0.253096\pi\)
0.700196 + 0.713951i \(0.253096\pi\)
\(48\) −0.204111 3.99479i −0.0294609 0.576598i
\(49\) 8.26810 + 5.31359i 1.18116 + 0.759084i
\(50\) −1.29569 + 0.109306i −0.183238 + 0.0154582i
\(51\) 2.08866 + 0.953858i 0.292471 + 0.133567i
\(52\) −2.15387 + 1.46320i −0.298688 + 0.202910i
\(53\) −2.57267 + 8.76172i −0.353384 + 1.20351i 0.570647 + 0.821196i \(0.306693\pi\)
−0.924030 + 0.382319i \(0.875126\pi\)
\(54\) −0.987156 + 1.01268i −0.134335 + 0.137808i
\(55\) −2.26503 4.95972i −0.305417 0.668769i
\(56\) −9.54793 6.59269i −1.27590 0.880986i
\(57\) 2.02157 2.33302i 0.267764 0.309016i
\(58\) 4.55602 8.60296i 0.598234 1.12962i
\(59\) −2.65301 9.03534i −0.345393 1.17630i −0.930790 0.365554i \(-0.880880\pi\)
0.585397 0.810747i \(-0.300939\pi\)
\(60\) 3.75759 + 3.09164i 0.485103 + 0.399130i
\(61\) −3.08448 4.79955i −0.394928 0.614519i 0.585670 0.810549i \(-0.300831\pi\)
−0.980598 + 0.196030i \(0.937195\pi\)
\(62\) −0.0879405 + 1.49802i −0.0111685 + 0.190248i
\(63\) 0.583809 + 4.06048i 0.0735530 + 0.511572i
\(64\) 6.42905 + 4.76101i 0.803632 + 0.595127i
\(65\) 0.450795 3.13535i 0.0559143 0.388892i
\(66\) −1.06958 + 2.98339i −0.131656 + 0.367230i
\(67\) 3.69443 3.20124i 0.451346 0.391094i −0.399310 0.916816i \(-0.630750\pi\)
0.850656 + 0.525722i \(0.176205\pi\)
\(68\) −4.12727 + 2.01371i −0.500505 + 0.244198i
\(69\) 4.05687 2.55770i 0.488389 0.307911i
\(70\) 13.7528 3.17610i 1.64378 0.379616i
\(71\) −3.08398 3.55910i −0.366001 0.422387i 0.542641 0.839965i \(-0.317425\pi\)
−0.908641 + 0.417578i \(0.862879\pi\)
\(72\) −0.309621 2.81143i −0.0364892 0.331330i
\(73\) −1.00106 + 6.96251i −0.117165 + 0.814900i 0.843488 + 0.537148i \(0.180498\pi\)
−0.960653 + 0.277752i \(0.910411\pi\)
\(74\) −0.506962 + 2.48259i −0.0589331 + 0.288595i
\(75\) −0.910084 + 0.130850i −0.105087 + 0.0151093i
\(76\) 1.03434 + 6.08679i 0.118647 + 0.698203i
\(77\) 4.97028 + 7.73390i 0.566416 + 0.881360i
\(78\) −1.45976 + 1.12212i −0.165286 + 0.127055i
\(79\) −2.34151 + 0.687529i −0.263440 + 0.0773530i −0.410785 0.911732i \(-0.634745\pi\)
0.147345 + 0.989085i \(0.452927\pi\)
\(80\) −9.54968 + 1.87474i −1.06769 + 0.209603i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 8.20151 + 14.5746i 0.905705 + 1.60950i
\(83\) 6.16808 2.81687i 0.677035 0.309191i −0.0470598 0.998892i \(-0.514985\pi\)
0.724095 + 0.689701i \(0.242258\pi\)
\(84\) −7.01300 4.25807i −0.765181 0.464593i
\(85\) 1.57391 5.36024i 0.170714 0.581399i
\(86\) −1.45543 3.75508i −0.156943 0.404921i
\(87\) 2.85955 6.26155i 0.306576 0.671309i
\(88\) −3.24851 5.44294i −0.346293 0.580219i
\(89\) 0.684426 + 0.439854i 0.0725490 + 0.0466244i 0.576413 0.817159i \(-0.304452\pi\)
−0.503863 + 0.863783i \(0.668089\pi\)
\(90\) 2.78057 + 2.02665i 0.293098 + 0.213628i
\(91\) 5.34083i 0.559872i
\(92\) −1.20494 + 9.51568i −0.125624 + 0.992078i
\(93\) 1.06108i 0.110029i
\(94\) −7.99719 + 10.9721i −0.824848 + 1.13169i
\(95\) −6.31840 4.06059i −0.648255 0.416608i
\(96\) 4.73551 + 3.09435i 0.483316 + 0.315815i
\(97\) −3.23759 + 7.08933i −0.328727 + 0.719812i −0.999766 0.0216097i \(-0.993121\pi\)
0.671039 + 0.741422i \(0.265848\pi\)
\(98\) −12.9599 + 5.02313i −1.30915 + 0.507412i
\(99\) −0.631376 + 2.15027i −0.0634557 + 0.216110i
\(100\) 0.954370 1.57184i 0.0954370 0.157184i
\(101\) −13.1635 + 6.01159i −1.30982 + 0.598176i −0.943210 0.332198i \(-0.892210\pi\)
−0.366612 + 0.930374i \(0.619482\pi\)
\(102\) −2.82996 + 1.59249i −0.280207 + 0.157680i
\(103\) −12.6318 + 14.5779i −1.24465 + 1.43640i −0.387073 + 0.922049i \(0.626514\pi\)
−0.857578 + 0.514354i \(0.828032\pi\)
\(104\) 0.121912 3.68041i 0.0119544 0.360893i
\(105\) 9.57640 2.81189i 0.934561 0.274412i
\(106\) −7.87041 10.2386i −0.764442 0.994463i
\(107\) 3.82150 + 5.94636i 0.369438 + 0.574857i 0.975347 0.220677i \(-0.0708268\pi\)
−0.605909 + 0.795534i \(0.707190\pi\)
\(108\) −0.335062 1.97173i −0.0322413 0.189730i
\(109\) −18.5801 + 2.67141i −1.77965 + 0.255875i −0.952158 0.305605i \(-0.901141\pi\)
−0.827491 + 0.561480i \(0.810232\pi\)
\(110\) 7.55502 + 1.54278i 0.720342 + 0.147099i
\(111\) −0.254983 + 1.77345i −0.0242020 + 0.168328i
\(112\) 15.4878 5.42030i 1.46346 0.512170i
\(113\) −5.26304 6.07387i −0.495105 0.571382i 0.452118 0.891958i \(-0.350669\pi\)
−0.947223 + 0.320577i \(0.896123\pi\)
\(114\) 0.982366 + 4.25375i 0.0920070 + 0.398400i
\(115\) −7.56421 8.88425i −0.705366 0.828461i
\(116\) 6.03686 + 12.3731i 0.560509 + 1.14881i
\(117\) −0.983936 + 0.852585i −0.0909649 + 0.0788215i
\(118\) 12.5361 + 4.49431i 1.15404 + 0.413735i
\(119\) −1.34052 + 9.32350i −0.122885 + 0.854684i
\(120\) −6.66335 + 1.71910i −0.608278 + 0.156931i
\(121\) −0.850715 5.91685i −0.0773378 0.537896i
\(122\) 8.05455 + 0.472840i 0.729225 + 0.0428089i
\(123\) 6.39333 + 9.94822i 0.576468 + 0.897001i
\(124\) −1.63877 1.34833i −0.147166 0.121084i
\(125\) −2.79703 9.52581i −0.250174 0.852014i
\(126\) −5.12686 2.71512i −0.456737 0.241882i
\(127\) −5.09184 + 5.87630i −0.451828 + 0.521437i −0.935268 0.353940i \(-0.884842\pi\)
0.483440 + 0.875377i \(0.339387\pi\)
\(128\) −10.7965 + 3.38164i −0.954285 + 0.298897i
\(129\) −1.18298 2.59037i −0.104156 0.228069i
\(130\) 3.20776 + 3.12691i 0.281339 + 0.274248i
\(131\) 1.47564 5.02557i 0.128927 0.439086i −0.869575 0.493801i \(-0.835607\pi\)
0.998502 + 0.0547154i \(0.0174251\pi\)
\(132\) −2.51865 3.70751i −0.219220 0.322697i
\(133\) 11.5193 + 5.26069i 0.998850 + 0.456160i
\(134\) 0.581151 + 6.88881i 0.0502038 + 0.595103i
\(135\) 2.04676 + 1.31537i 0.176157 + 0.113209i
\(136\) 1.13658 6.39429i 0.0974610 0.548306i
\(137\) 21.9774 1.87765 0.938827 0.344389i \(-0.111914\pi\)
0.938827 + 0.344389i \(0.111914\pi\)
\(138\) −0.456234 + 6.76697i −0.0388373 + 0.576043i
\(139\) 9.92173i 0.841550i −0.907165 0.420775i \(-0.861758\pi\)
0.907165 0.420775i \(-0.138242\pi\)
\(140\) −7.82614 + 18.3632i −0.661429 + 1.55198i
\(141\) −5.19048 + 8.07654i −0.437117 + 0.680167i
\(142\) 6.63647 0.559863i 0.556920 0.0469827i
\(143\) −1.21205 + 2.65403i −0.101357 + 0.221941i
\(144\) 3.47098 + 1.98804i 0.289248 + 0.165670i
\(145\) −16.0694 4.71839i −1.33449 0.391841i
\(146\) −7.12331 6.94377i −0.589529 0.574670i
\(147\) −8.94015 + 4.08283i −0.737371 + 0.336746i
\(148\) −2.41496 2.64736i −0.198509 0.217612i
\(149\) 1.10129 + 0.954277i 0.0902215 + 0.0781774i 0.698804 0.715313i \(-0.253716\pi\)
−0.608582 + 0.793491i \(0.708261\pi\)
\(150\) 0.608546 1.14910i 0.0496876 0.0938232i
\(151\) −17.2379 + 5.06149i −1.40280 + 0.411899i −0.893644 0.448777i \(-0.851860\pi\)
−0.509154 + 0.860676i \(0.670042\pi\)
\(152\) −7.81795 3.88812i −0.634119 0.315368i
\(153\) −1.93165 + 1.24140i −0.156165 + 0.100361i
\(154\) −12.9790 0.761925i −1.04587 0.0613976i
\(155\) 2.55532 0.367400i 0.205248 0.0295103i
\(156\) −0.0664564 2.60302i −0.00532077 0.208408i
\(157\) −5.27901 0.759007i −0.421311 0.0605753i −0.0716007 0.997433i \(-0.522811\pi\)
−0.349710 + 0.936858i \(0.613720\pi\)
\(158\) 1.16470 3.24872i 0.0926586 0.258454i
\(159\) −5.97993 6.90121i −0.474240 0.547302i
\(160\) 5.81221 12.4756i 0.459496 0.986282i
\(161\) 14.7559 + 13.0121i 1.16293 + 1.02550i
\(162\) −0.318224 1.37795i −0.0250021 0.108262i
\(163\) −11.4793 + 9.94691i −0.899132 + 0.779102i −0.975962 0.217942i \(-0.930066\pi\)
0.0768301 + 0.997044i \(0.475520\pi\)
\(164\) −23.4885 2.76730i −1.83414 0.216090i
\(165\) 5.39695 + 0.775965i 0.420152 + 0.0604088i
\(166\) −1.91866 + 9.39567i −0.148917 + 0.729246i
\(167\) −0.249174 1.73304i −0.0192817 0.134107i 0.977907 0.209041i \(-0.0670343\pi\)
−0.997188 + 0.0749344i \(0.976125\pi\)
\(168\) 10.7081 4.46795i 0.826150 0.344710i
\(169\) 9.51035 6.11193i 0.731565 0.470148i
\(170\) 4.81495 + 6.26377i 0.369290 + 0.480410i
\(171\) 0.869715 + 2.96198i 0.0665088 + 0.226508i
\(172\) 5.50388 + 1.46459i 0.419667 + 0.111674i
\(173\) 5.76207 + 4.99286i 0.438082 + 0.379600i 0.845793 0.533511i \(-0.179128\pi\)
−0.407711 + 0.913111i \(0.633673\pi\)
\(174\) 4.77410 + 8.48388i 0.361924 + 0.643161i
\(175\) −1.56685 3.43092i −0.118443 0.259353i
\(176\) 8.92649 + 0.821309i 0.672860 + 0.0619085i
\(177\) 9.03534 + 2.65301i 0.679138 + 0.199413i
\(178\) −1.07281 + 0.415810i −0.0804106 + 0.0311663i
\(179\) −11.4817 5.24351i −0.858181 0.391918i −0.0627989 0.998026i \(-0.520003\pi\)
−0.795382 + 0.606108i \(0.792730\pi\)
\(180\) −4.63237 + 1.48962i −0.345276 + 0.111030i
\(181\) 5.89498 9.17277i 0.438171 0.681807i −0.550000 0.835165i \(-0.685372\pi\)
0.988171 + 0.153358i \(0.0490087\pi\)
\(182\) −6.10383 4.44886i −0.452446 0.329771i
\(183\) 5.70523 0.421743
\(184\) −9.87139 9.30353i −0.727728 0.685865i
\(185\) 4.35915 0.320491
\(186\) −1.21267 0.883869i −0.0889170 0.0648084i
\(187\) −2.78203 + 4.32892i −0.203442 + 0.316562i
\(188\) −5.87805 18.2793i −0.428701 1.33316i
\(189\) −3.73152 1.70413i −0.271428 0.123957i
\(190\) 9.90385 3.83862i 0.718501 0.278483i
\(191\) 15.5097 + 4.55406i 1.12224 + 0.329520i 0.789654 0.613552i \(-0.210260\pi\)
0.332588 + 0.943072i \(0.392078\pi\)
\(192\) −7.48103 + 2.83447i −0.539897 + 0.204560i
\(193\) 0.999226 + 2.18800i 0.0719258 + 0.157496i 0.942180 0.335108i \(-0.108773\pi\)
−0.870254 + 0.492603i \(0.836045\pi\)
\(194\) −5.40523 9.60544i −0.388073 0.689630i
\(195\) 2.39391 + 2.07433i 0.171431 + 0.148546i
\(196\) 5.05475 18.9956i 0.361054 1.35683i
\(197\) 0.190526 + 0.648870i 0.0135744 + 0.0462301i 0.966002 0.258536i \(-0.0832400\pi\)
−0.952427 + 0.304766i \(0.901422\pi\)
\(198\) −1.93153 2.51273i −0.137268 0.178572i
\(199\) −17.2058 + 11.0575i −1.21968 + 0.783843i −0.982253 0.187561i \(-0.939942\pi\)
−0.237431 + 0.971404i \(0.576305\pi\)
\(200\) 1.00141 + 2.40004i 0.0708104 + 0.169708i
\(201\) 0.695696 + 4.83867i 0.0490706 + 0.341294i
\(202\) 4.09469 20.0517i 0.288101 1.41083i
\(203\) 27.9507 + 4.01871i 1.96176 + 0.282058i
\(204\) 0.537329 4.56077i 0.0376205 0.319318i
\(205\) 21.7439 18.8412i 1.51866 1.31592i
\(206\) −6.13833 26.5796i −0.427678 1.85189i
\(207\) −0.0416349 + 4.79565i −0.00289383 + 0.333321i
\(208\) 4.10464 + 3.20507i 0.284605 + 0.222231i
\(209\) 4.53044 + 5.22841i 0.313377 + 0.361656i
\(210\) −4.76345 + 13.2868i −0.328709 + 0.916874i
\(211\) 27.8611 + 4.00582i 1.91804 + 0.275772i 0.994246 0.107121i \(-0.0341632\pi\)
0.923793 + 0.382893i \(0.125072\pi\)
\(212\) 18.2573 0.466118i 1.25391 0.0320131i
\(213\) 4.66143 0.670212i 0.319396 0.0459222i
\(214\) −9.97913 0.585821i −0.682159 0.0400459i
\(215\) −5.82858 + 3.74580i −0.397506 + 0.255461i
\(216\) 2.53252 + 1.25950i 0.172316 + 0.0856984i
\(217\) −4.17648 + 1.22633i −0.283518 + 0.0832484i
\(218\) 12.4240 23.4597i 0.841456 1.58889i
\(219\) −5.31602 4.60636i −0.359224 0.311269i
\(220\) −8.05643 + 7.34920i −0.543164 + 0.495483i
\(221\) −2.71929 + 1.24186i −0.182920 + 0.0835366i
\(222\) −1.81441 1.76867i −0.121775 0.118706i
\(223\) 19.7087 + 5.78699i 1.31979 + 0.387525i 0.864417 0.502775i \(-0.167688\pi\)
0.455373 + 0.890301i \(0.349506\pi\)
\(224\) −6.70656 + 22.2155i −0.448101 + 1.48434i
\(225\) 0.381950 0.836354i 0.0254633 0.0557569i
\(226\) 11.3256 0.955449i 0.753370 0.0635555i
\(227\) −10.1761 + 15.8343i −0.675409 + 1.05096i 0.319243 + 0.947673i \(0.396571\pi\)
−0.994652 + 0.103284i \(0.967065\pi\)
\(228\) −5.67974 2.42062i −0.376150 0.160310i
\(229\) 23.6800i 1.56482i 0.622763 + 0.782411i \(0.286010\pi\)
−0.622763 + 0.782411i \(0.713990\pi\)
\(230\) 16.4544 1.24435i 1.08497 0.0820501i
\(231\) −9.19330 −0.604875
\(232\) −19.1693 3.40733i −1.25853 0.223702i
\(233\) −20.1852 12.9722i −1.32238 0.849840i −0.326920 0.945052i \(-0.606011\pi\)
−0.995457 + 0.0952121i \(0.969647\pi\)
\(234\) −0.154778 1.83469i −0.0101181 0.119938i
\(235\) 21.2473 + 9.70333i 1.38602 + 0.632976i
\(236\) −15.5788 + 10.5832i −1.01409 + 0.688911i
\(237\) 0.687529 2.34151i 0.0446598 0.152097i
\(238\) −9.53882 9.29840i −0.618310 0.602725i
\(239\) −5.57717 12.2123i −0.360757 0.789948i −0.999784 0.0207641i \(-0.993390\pi\)
0.639027 0.769184i \(-0.279337\pi\)
\(240\) 3.58581 9.04727i 0.231463 0.583999i
\(241\) 8.15906 9.41605i 0.525571 0.606541i −0.429446 0.903093i \(-0.641291\pi\)
0.955017 + 0.296551i \(0.0958366\pi\)
\(242\) 7.47077 + 3.95643i 0.480240 + 0.254329i
\(243\) −0.281733 0.959493i −0.0180732 0.0615515i
\(244\) −7.24974 + 8.81136i −0.464117 + 0.564089i
\(245\) 12.9279 + 20.1162i 0.825934 + 1.28518i
\(246\) −16.6950 0.980074i −1.06443 0.0624873i
\(247\) 0.571978 + 3.97819i 0.0363941 + 0.253126i
\(248\) 2.90603 0.749736i 0.184533 0.0476083i
\(249\) −0.965016 + 6.71183i −0.0611554 + 0.425345i
\(250\) 13.2166 + 4.73828i 0.835888 + 0.299675i
\(251\) 14.4208 12.4957i 0.910230 0.788719i −0.0676879 0.997707i \(-0.521562\pi\)
0.977918 + 0.208987i \(0.0670168\pi\)
\(252\) 7.37363 3.59762i 0.464495 0.226629i
\(253\) 4.37971 + 9.81484i 0.275350 + 0.617054i
\(254\) −2.47434 10.7142i −0.155254 0.672266i
\(255\) 3.65840 + 4.22202i 0.229098 + 0.264393i
\(256\) 5.12863 15.1558i 0.320540 0.947235i
\(257\) −2.99698 + 20.8444i −0.186946 + 1.30024i 0.652912 + 0.757434i \(0.273547\pi\)
−0.839858 + 0.542806i \(0.817362\pi\)
\(258\) 3.94584 + 0.805766i 0.245657 + 0.0501648i
\(259\) −7.27510 + 1.04600i −0.452053 + 0.0649954i
\(260\) −6.24565 + 1.06134i −0.387339 + 0.0658214i
\(261\) 3.72156 + 5.79086i 0.230359 + 0.358445i
\(262\) 4.51433 + 5.87270i 0.278896 + 0.362816i
\(263\) 25.9453 7.61823i 1.59986 0.469760i 0.644350 0.764731i \(-0.277128\pi\)
0.955506 + 0.294971i \(0.0953099\pi\)
\(264\) 6.33517 + 0.209849i 0.389903 + 0.0129153i
\(265\) −14.5491 + 16.7906i −0.893745 + 1.03144i
\(266\) −15.6077 + 8.78285i −0.956968 + 0.538511i
\(267\) −0.740058 + 0.337973i −0.0452908 + 0.0206836i
\(268\) −8.35704 5.07413i −0.510488 0.309952i
\(269\) 4.72890 16.1052i 0.288326 0.981949i −0.680198 0.733029i \(-0.738106\pi\)
0.968524 0.248920i \(-0.0800757\pi\)
\(270\) −3.20822 + 1.24347i −0.195246 + 0.0756752i
\(271\) 7.91541 17.3323i 0.480827 1.05286i −0.501408 0.865211i \(-0.667185\pi\)
0.982235 0.187653i \(-0.0600882\pi\)
\(272\) 6.36102 + 6.62532i 0.385693 + 0.401719i
\(273\) −4.49300 2.88747i −0.271928 0.174758i
\(274\) −18.3069 + 25.1171i −1.10596 + 1.51738i
\(275\) 2.06052i 0.124254i
\(276\) −7.35366 6.15822i −0.442638 0.370681i
\(277\) 32.0448i 1.92539i −0.270592 0.962694i \(-0.587219\pi\)
0.270592 0.962694i \(-0.412781\pi\)
\(278\) 11.3392 + 8.26470i 0.680077 + 0.495684i
\(279\) −0.892638 0.573664i −0.0534408 0.0343443i
\(280\) −14.4675 24.2406i −0.864600 1.44865i
\(281\) −3.01755 + 6.60751i −0.180012 + 0.394171i −0.978031 0.208462i \(-0.933154\pi\)
0.798019 + 0.602633i \(0.205882\pi\)
\(282\) −4.90674 12.6597i −0.292192 0.753871i
\(283\) −2.45945 + 8.37613i −0.146199 + 0.497909i −0.999732 0.0231292i \(-0.992637\pi\)
0.853533 + 0.521039i \(0.174455\pi\)
\(284\) −4.88826 + 8.05092i −0.290065 + 0.477734i
\(285\) 6.83197 3.12006i 0.404691 0.184816i
\(286\) −2.02356 3.59599i −0.119655 0.212635i
\(287\) −31.7679 + 36.6621i −1.87520 + 2.16409i
\(288\) −5.16334 + 2.31083i −0.304253 + 0.136167i
\(289\) 11.2526 3.30406i 0.661918 0.194357i
\(290\) 18.7781 14.4347i 1.10269 0.847632i
\(291\) −4.21355 6.55641i −0.247003 0.384344i
\(292\) 13.8694 2.35686i 0.811645 0.137925i
\(293\) 0.907285 0.130448i 0.0530042 0.00762085i −0.115762 0.993277i \(-0.536931\pi\)
0.168766 + 0.985656i \(0.446022\pi\)
\(294\) 2.78094 13.6183i 0.162188 0.794235i
\(295\) 3.26057 22.6777i 0.189838 1.32035i
\(296\) 5.03720 0.554743i 0.292781 0.0322438i
\(297\) −1.46758 1.69367i −0.0851573 0.0982768i
\(298\) −2.00797 + 0.463723i −0.116319 + 0.0268627i
\(299\) −0.942214 + 6.17235i −0.0544896 + 0.356956i
\(300\) 0.806343 + 1.65267i 0.0465542 + 0.0954168i
\(301\) 8.82864 7.65006i 0.508874 0.440942i
\(302\) 8.57438 23.9166i 0.493400 1.37625i
\(303\) 2.05948 14.3240i 0.118314 0.822892i
\(304\) 10.9558 5.69606i 0.628361 0.326691i
\(305\) −1.97544 13.7395i −0.113113 0.786721i
\(306\) 0.190301 3.24168i 0.0108788 0.185314i
\(307\) −14.5006 22.5634i −0.827593 1.28776i −0.955208 0.295937i \(-0.904368\pi\)
0.127614 0.991824i \(-0.459268\pi\)
\(308\) 11.6821 14.1985i 0.665649 0.809032i
\(309\) −5.43443 18.5080i −0.309154 1.05288i
\(310\) −1.70867 + 3.22642i −0.0970459 + 0.183248i
\(311\) 14.2318 16.4244i 0.807012 0.931341i −0.191732 0.981447i \(-0.561410\pi\)
0.998744 + 0.0501060i \(0.0159559\pi\)
\(312\) 3.03024 + 2.09234i 0.171554 + 0.118455i
\(313\) −11.1768 24.4738i −0.631751 1.38334i −0.906656 0.421871i \(-0.861374\pi\)
0.274905 0.961471i \(-0.411354\pi\)
\(314\) 5.26479 5.40092i 0.297109 0.304792i
\(315\) −2.81189 + 9.57640i −0.158432 + 0.539569i
\(316\) 2.74265 + 4.03724i 0.154286 + 0.227112i
\(317\) 20.7335 + 9.46867i 1.16451 + 0.531814i 0.901415 0.432957i \(-0.142530\pi\)
0.263094 + 0.964770i \(0.415257\pi\)
\(318\) 12.8683 1.08559i 0.721621 0.0608771i
\(319\) 12.9776 + 8.34020i 0.726606 + 0.466961i
\(320\) 9.41635 + 17.0346i 0.526390 + 0.952262i
\(321\) −7.06846 −0.394523
\(322\) −27.1625 + 6.02504i −1.51371 + 0.335762i
\(323\) 7.08830i 0.394403i
\(324\) 1.83988 + 0.784128i 0.102215 + 0.0435627i
\(325\) 0.647176 1.00702i 0.0358988 0.0558597i
\(326\) −1.80576 21.4050i −0.100012 1.18551i
\(327\) 7.79782 17.0748i 0.431220 0.944240i
\(328\) 22.7283 24.5389i 1.25496 1.35494i
\(329\) −37.7886 11.0957i −2.08335 0.611727i
\(330\) −5.38242 + 5.52159i −0.296293 + 0.303954i
\(331\) −24.0392 + 10.9784i −1.32132 + 0.603425i −0.946209 0.323557i \(-0.895121\pi\)
−0.375107 + 0.926982i \(0.622394\pi\)
\(332\) −9.13972 10.0193i −0.501607 0.549878i
\(333\) −1.35407 1.17330i −0.0742023 0.0642967i
\(334\) 2.18819 + 1.15884i 0.119732 + 0.0634087i
\(335\) 11.4117 3.35079i 0.623489 0.183073i
\(336\) −3.81351 + 15.9596i −0.208044 + 0.870670i
\(337\) −7.07045 + 4.54390i −0.385152 + 0.247522i −0.718861 0.695154i \(-0.755336\pi\)
0.333709 + 0.942676i \(0.391700\pi\)
\(338\) −0.936936 + 15.9602i −0.0509626 + 0.868118i
\(339\) 7.95508 1.14377i 0.432060 0.0621209i
\(340\) −11.1694 + 0.285161i −0.605747 + 0.0154650i
\(341\) −2.35373 0.338415i −0.127462 0.0183262i
\(342\) −4.10959 1.47333i −0.222221 0.0796687i
\(343\) −7.59796 8.76851i −0.410251 0.473455i
\(344\) −6.25850 + 5.07018i −0.337436 + 0.273366i
\(345\) 11.5634 1.56023i 0.622554 0.0840000i
\(346\) −10.5059 + 2.42624i −0.564800 + 0.130435i
\(347\) 14.3738 12.4549i 0.771624 0.668616i −0.177288 0.984159i \(-0.556732\pi\)
0.948911 + 0.315543i \(0.102187\pi\)
\(348\) −13.6727 1.61085i −0.732931 0.0863505i
\(349\) −4.55198 0.654475i −0.243662 0.0350333i 0.0194019 0.999812i \(-0.493824\pi\)
−0.263064 + 0.964779i \(0.584733\pi\)
\(350\) 5.22623 + 1.06723i 0.279354 + 0.0570458i
\(351\) −0.185284 1.28868i −0.00988975 0.0687847i
\(352\) −8.37431 + 9.51759i −0.446352 + 0.507289i
\(353\) −28.1268 + 18.0760i −1.49704 + 0.962087i −0.501761 + 0.865006i \(0.667314\pi\)
−0.995276 + 0.0970809i \(0.969049\pi\)
\(354\) −10.5584 + 8.11619i −0.561171 + 0.431371i
\(355\) −3.22804 10.9937i −0.171327 0.583486i
\(356\) 0.418428 1.57244i 0.0221766 0.0833391i
\(357\) −7.11869 6.16838i −0.376761 0.326465i
\(358\) 15.5567 8.75417i 0.822198 0.462672i
\(359\) −7.07317 15.4881i −0.373308 0.817430i −0.999293 0.0375952i \(-0.988030\pi\)
0.625985 0.779835i \(-0.284697\pi\)
\(360\) 2.15628 6.53498i 0.113646 0.344424i
\(361\) −9.08667 2.66809i −0.478246 0.140426i
\(362\) 5.57274 + 14.3780i 0.292897 + 0.755689i
\(363\) 5.43751 + 2.48323i 0.285395 + 0.130336i
\(364\) 10.1688 3.26997i 0.532992 0.171393i
\(365\) −9.25248 + 14.3971i −0.484297 + 0.753581i
\(366\) −4.75240 + 6.52028i −0.248412 + 0.340821i
\(367\) −1.61286 −0.0841908 −0.0420954 0.999114i \(-0.513403\pi\)
−0.0420954 + 0.999114i \(0.513403\pi\)
\(368\) 18.8554 3.53187i 0.982905 0.184112i
\(369\) −11.8255 −0.615610
\(370\) −3.63113 + 4.98190i −0.188773 + 0.258997i
\(371\) 20.2524 31.5134i 1.05145 1.63609i
\(372\) 2.02028 0.649656i 0.104746 0.0336831i
\(373\) 5.73583 + 2.61947i 0.296990 + 0.135631i 0.558337 0.829614i \(-0.311439\pi\)
−0.261347 + 0.965245i \(0.584167\pi\)
\(374\) −2.62995 6.78542i −0.135992 0.350866i
\(375\) 9.52581 + 2.79703i 0.491910 + 0.144438i
\(376\) 25.7871 + 8.50871i 1.32987 + 0.438803i
\(377\) 3.72295 + 8.15212i 0.191742 + 0.419856i
\(378\) 5.05590 2.84509i 0.260047 0.146335i
\(379\) 10.8649 + 9.41451i 0.558094 + 0.483591i 0.887633 0.460551i \(-0.152348\pi\)
−0.329539 + 0.944142i \(0.606893\pi\)
\(380\) −3.86279 + 14.5162i −0.198157 + 0.744668i
\(381\) −2.19060 7.46049i −0.112228 0.382213i
\(382\) −18.1240 + 13.9319i −0.927307 + 0.712819i
\(383\) 13.7064 8.80859i 0.700366 0.450098i −0.141391 0.989954i \(-0.545158\pi\)
0.841757 + 0.539856i \(0.181521\pi\)
\(384\) 2.99222 10.9108i 0.152696 0.556792i
\(385\) 3.18319 + 22.1396i 0.162230 + 1.12834i
\(386\) −3.33292 0.680604i −0.169641 0.0346418i
\(387\) 2.81872 + 0.405271i 0.143284 + 0.0206011i
\(388\) 15.4802 + 1.82380i 0.785887 + 0.0925895i
\(389\) −18.5954 + 16.1130i −0.942824 + 0.816961i −0.983258 0.182221i \(-0.941671\pi\)
0.0404340 + 0.999182i \(0.487126\pi\)
\(390\) −4.36477 + 1.00800i −0.221019 + 0.0510423i
\(391\) −3.19405 + 10.5386i −0.161530 + 0.532959i
\(392\) 17.4988 + 21.6000i 0.883821 + 1.09096i
\(393\) 3.42999 + 3.95842i 0.173020 + 0.199676i
\(394\) −0.900274 0.322758i −0.0453551 0.0162603i
\(395\) −5.87694 0.844976i −0.295701 0.0425153i
\(396\) 4.48064 0.114393i 0.225161 0.00574847i
\(397\) −21.1958 + 3.04749i −1.06379 + 0.152949i −0.651914 0.758293i \(-0.726034\pi\)
−0.411871 + 0.911242i \(0.635125\pi\)
\(398\) 1.69507 28.8745i 0.0849661 1.44735i
\(399\) −10.6534 + 6.84651i −0.533336 + 0.342754i
\(400\) −3.57707 0.854731i −0.178853 0.0427366i
\(401\) 0.535562 0.157255i 0.0267447 0.00785296i −0.268333 0.963326i \(-0.586473\pi\)
0.295078 + 0.955473i \(0.404655\pi\)
\(402\) −6.10943 3.23548i −0.304711 0.161371i
\(403\) −1.04404 0.904662i −0.0520071 0.0450644i
\(404\) 19.5054 + 21.3825i 0.970432 + 1.06382i
\(405\) −2.21313 + 1.01070i −0.109971 + 0.0502221i
\(406\) −27.8755 + 28.5962i −1.38344 + 1.41921i
\(407\) −3.85261 1.13123i −0.190967 0.0560729i
\(408\) 4.76474 + 4.41316i 0.235890 + 0.218484i
\(409\) −0.658877 + 1.44274i −0.0325794 + 0.0713389i −0.925222 0.379426i \(-0.876121\pi\)
0.892643 + 0.450765i \(0.148849\pi\)
\(410\) 3.42042 + 40.5447i 0.168922 + 2.00236i
\(411\) −11.8819 + 18.4885i −0.586089 + 0.911973i
\(412\) 35.4900 + 15.1253i 1.74847 + 0.745170i
\(413\) 38.6298i 1.90085i
\(414\) −5.44608 4.04231i −0.267660 0.198669i
\(415\) 16.4978 0.809843
\(416\) −7.08206 + 2.02124i −0.347227 + 0.0990995i
\(417\) 8.34669 + 5.36409i 0.408739 + 0.262681i
\(418\) −9.74914 + 0.822453i −0.476846 + 0.0402275i
\(419\) 2.37247 + 1.08347i 0.115903 + 0.0529309i 0.472522 0.881319i \(-0.343344\pi\)
−0.356620 + 0.934250i \(0.616071\pi\)
\(420\) −11.2170 16.5117i −0.547334 0.805688i
\(421\) 0.00305699 0.0104111i 0.000148988 0.000507408i −0.959418 0.281986i \(-0.909007\pi\)
0.959567 + 0.281479i \(0.0908249\pi\)
\(422\) −27.7861 + 28.5046i −1.35261 + 1.38758i
\(423\) −3.98823 8.73301i −0.193915 0.424614i
\(424\) −14.6754 + 21.2538i −0.712701 + 1.03217i
\(425\) 1.38253 1.59553i 0.0670627 0.0773944i
\(426\) −3.11696 + 5.88564i −0.151017 + 0.285160i
\(427\) 6.59372 + 22.4562i 0.319093 + 1.08673i
\(428\) 8.98202 10.9168i 0.434162 0.527682i
\(429\) −1.57743 2.45452i −0.0761588 0.118505i
\(430\) 0.574217 9.78146i 0.0276912 0.471704i
\(431\) 1.19476 + 8.30976i 0.0575497 + 0.400267i 0.998153 + 0.0607580i \(0.0193518\pi\)
−0.940603 + 0.339509i \(0.889739\pi\)
\(432\) −3.54900 + 1.84516i −0.170751 + 0.0887754i
\(433\) 3.32399 23.1189i 0.159741 1.11102i −0.739370 0.673299i \(-0.764876\pi\)
0.899111 0.437722i \(-0.144214\pi\)
\(434\) 2.07744 5.79465i 0.0997205 0.278152i
\(435\) 12.6571 10.9674i 0.606862 0.525849i
\(436\) 16.4621 + 33.7405i 0.788393 + 1.61588i
\(437\) 12.3847 + 8.11193i 0.592439 + 0.388046i
\(438\) 9.69262 2.23842i 0.463131 0.106956i
\(439\) 21.5360 + 24.8539i 1.02786 + 1.18621i 0.982313 + 0.187248i \(0.0599566\pi\)
0.0455439 + 0.998962i \(0.485498\pi\)
\(440\) −1.68819 15.3292i −0.0804814 0.730790i
\(441\) 1.39871 9.72828i 0.0666055 0.463251i
\(442\) 0.845870 4.14223i 0.0402339 0.197026i
\(443\) 10.3828 1.49282i 0.493302 0.0709262i 0.108826 0.994061i \(-0.465291\pi\)
0.384477 + 0.923135i \(0.374382\pi\)
\(444\) 3.53273 0.600325i 0.167656 0.0284902i
\(445\) 1.07016 + 1.66520i 0.0507305 + 0.0789382i
\(446\) −23.0308 + 17.7038i −1.09054 + 0.838297i
\(447\) −1.39819 + 0.410547i −0.0661323 + 0.0194182i
\(448\) −19.8027 26.1699i −0.935590 1.23641i
\(449\) 3.93150 4.53719i 0.185539 0.214123i −0.655358 0.755318i \(-0.727482\pi\)
0.840897 + 0.541195i \(0.182028\pi\)
\(450\) 0.637675 + 1.13319i 0.0300603 + 0.0534191i
\(451\) −24.1066 + 11.0091i −1.13513 + 0.518399i
\(452\) −8.34219 + 13.7395i −0.392383 + 0.646251i
\(453\) 5.06149 17.2379i 0.237810 0.809906i
\(454\) −9.61979 24.8196i −0.451479 1.16484i
\(455\) −5.39798 + 11.8199i −0.253061 + 0.554127i
\(456\) 7.49760 4.47480i 0.351107 0.209552i
\(457\) 13.8460 + 8.89831i 0.647691 + 0.416246i 0.822822 0.568300i \(-0.192399\pi\)
−0.175131 + 0.984545i \(0.556035\pi\)
\(458\) −27.0630 19.7252i −1.26457 0.921699i
\(459\) 2.29616i 0.107175i
\(460\) −12.2842 + 19.8416i −0.572753 + 0.925118i
\(461\) 7.86717i 0.366411i 0.983075 + 0.183205i \(0.0586473\pi\)
−0.983075 + 0.183205i \(0.941353\pi\)
\(462\) 7.65792 10.5067i 0.356279 0.488814i
\(463\) 1.90156 + 1.22206i 0.0883729 + 0.0567938i 0.584081 0.811695i \(-0.301455\pi\)
−0.495708 + 0.868489i \(0.665091\pi\)
\(464\) 19.8619 19.0696i 0.922067 0.885283i
\(465\) −1.07244 + 2.34831i −0.0497330 + 0.108900i
\(466\) 31.6395 12.2631i 1.46567 0.568078i
\(467\) 11.0057 37.4819i 0.509282 1.73446i −0.155897 0.987773i \(-0.549827\pi\)
0.665179 0.746684i \(-0.268355\pi\)
\(468\) 2.22573 + 1.35139i 0.102884 + 0.0624681i
\(469\) −18.2413 + 8.33051i −0.842304 + 0.384667i
\(470\) −28.7883 + 16.2000i −1.32791 + 0.747248i
\(471\) 3.49256 4.03063i 0.160929 0.185722i
\(472\) 0.881776 26.6201i 0.0405871 1.22529i
\(473\) 6.12334 1.79798i 0.281552 0.0826710i
\(474\) 2.10331 + 2.73620i 0.0966083 + 0.125678i
\(475\) −1.53452 2.38776i −0.0704088 0.109558i
\(476\) 18.5725 3.15607i 0.851269 0.144658i
\(477\) 9.03866 1.29956i 0.413852 0.0595029i
\(478\) 18.6027 + 3.79879i 0.850867 + 0.173753i
\(479\) 0.325156 2.26151i 0.0148568 0.103331i −0.981044 0.193786i \(-0.937923\pi\)
0.995901 + 0.0904553i \(0.0288322\pi\)
\(480\) 7.35282 + 11.6344i 0.335609 + 0.531033i
\(481\) −1.52756 1.76290i −0.0696509 0.0803815i
\(482\) 3.96483 + 17.1681i 0.180593 + 0.781987i
\(483\) −18.9241 + 5.37861i −0.861077 + 0.244735i
\(484\) −10.7447 + 5.24239i −0.488396 + 0.238290i
\(485\) −14.3304 + 12.4173i −0.650709 + 0.563842i
\(486\) 1.33125 + 0.477266i 0.0603866 + 0.0216492i
\(487\) −0.562600 + 3.91297i −0.0254938 + 0.177314i −0.998590 0.0530860i \(-0.983094\pi\)
0.973096 + 0.230400i \(0.0740033\pi\)
\(488\) −4.03119 15.6252i −0.182483 0.707320i
\(489\) −2.16167 15.0347i −0.0977541 0.679895i
\(490\) −33.7588 1.98180i −1.52507 0.0895286i
\(491\) −3.70299 5.76196i −0.167113 0.260034i 0.747589 0.664162i \(-0.231211\pi\)
−0.914702 + 0.404128i \(0.867575\pi\)
\(492\) 15.0268 18.2637i 0.677462 0.823390i
\(493\) 4.45302 + 15.1656i 0.200554 + 0.683025i
\(494\) −5.02297 2.66010i −0.225994 0.119684i
\(495\) −3.57060 + 4.12069i −0.160486 + 0.185211i
\(496\) −1.56385 + 3.94571i −0.0702190 + 0.177168i
\(497\) 8.02536 + 17.5731i 0.359987 + 0.788261i
\(498\) −6.86684 6.69376i −0.307710 0.299955i
\(499\) 1.33589 4.54963i 0.0598027 0.203669i −0.924172 0.381976i \(-0.875244\pi\)
0.983975 + 0.178307i \(0.0570619\pi\)
\(500\) −16.4244 + 11.1577i −0.734523 + 0.498989i
\(501\) 1.59264 + 0.727336i 0.0711541 + 0.0324950i
\(502\) 2.26846 + 26.8897i 0.101246 + 1.20014i
\(503\) 23.4995 + 15.1022i 1.04779 + 0.673373i 0.946901 0.321525i \(-0.104195\pi\)
0.100888 + 0.994898i \(0.467832\pi\)
\(504\) −2.03057 + 11.4238i −0.0904489 + 0.508857i
\(505\) −35.2085 −1.56676
\(506\) −14.8652 3.17026i −0.660840 0.140935i
\(507\) 11.3050i 0.502071i
\(508\) 14.3059 + 6.09695i 0.634720 + 0.270508i
\(509\) 18.6903 29.0827i 0.828433 1.28907i −0.126417 0.991977i \(-0.540348\pi\)
0.954850 0.297089i \(-0.0960159\pi\)
\(510\) −7.87258 + 0.664144i −0.348604 + 0.0294088i
\(511\) 11.9870 26.2479i 0.530275 1.16114i
\(512\) 13.0488 + 18.4859i 0.576682 + 0.816969i
\(513\) −2.96198 0.869715i −0.130775 0.0383989i
\(514\) −21.3258 20.7883i −0.940642 0.916933i
\(515\) −42.6897 + 19.4957i −1.88113 + 0.859085i
\(516\) −4.20772 + 3.83834i −0.185234 + 0.168974i
\(517\) −16.2603 14.0896i −0.715126 0.619660i
\(518\) 4.86465 9.18573i 0.213740 0.403598i
\(519\) −7.31547 + 2.14802i −0.321114 + 0.0942874i
\(520\) 3.98959 8.02198i 0.174955 0.351787i
\(521\) 14.9872 9.63170i 0.656602 0.421972i −0.169471 0.985535i \(-0.554206\pi\)
0.826073 + 0.563563i \(0.190570\pi\)
\(522\) −9.71816 0.570501i −0.425352 0.0249702i
\(523\) 7.89225 1.13473i 0.345104 0.0496185i 0.0324164 0.999474i \(-0.489680\pi\)
0.312688 + 0.949856i \(0.398771\pi\)
\(524\) −10.4721 + 0.267357i −0.457474 + 0.0116795i
\(525\) 3.73338 + 0.536778i 0.162938 + 0.0234269i
\(526\) −12.9056 + 35.9978i −0.562710 + 1.56958i
\(527\) −1.59551 1.84132i −0.0695014 0.0802089i
\(528\) −5.51696 + 7.06541i −0.240095 + 0.307483i
\(529\) 14.7577 + 17.6411i 0.641640 + 0.767006i
\(530\) −7.07003 30.6140i −0.307102 1.32979i
\(531\) −7.11673 + 6.16668i −0.308840 + 0.267611i
\(532\) 2.96346 25.1534i 0.128482 1.09054i
\(533\) −15.2393 2.19108i −0.660086 0.0949061i
\(534\) 0.230204 1.12731i 0.00996191 0.0487835i
\(535\) 2.44746 + 17.0224i 0.105813 + 0.735944i
\(536\) 12.7603 5.32423i 0.551163 0.229972i
\(537\) 10.6186 6.82415i 0.458226 0.294484i
\(538\) 14.4668 + 18.8199i 0.623709 + 0.811383i
\(539\) −6.20537 21.1335i −0.267284 0.910286i
\(540\) 1.25130 4.70234i 0.0538473 0.202357i
\(541\) −5.51427 4.77814i −0.237077 0.205428i 0.528217 0.849110i \(-0.322861\pi\)
−0.765294 + 0.643681i \(0.777406\pi\)
\(542\) 13.2150 + 23.4839i 0.567632 + 1.00872i
\(543\) 4.52956 + 9.91835i 0.194382 + 0.425637i
\(544\) −12.8705 + 1.75093i −0.551817 + 0.0750705i
\(545\) −43.8201 12.8667i −1.87705 0.551150i
\(546\) 7.04259 2.72963i 0.301395 0.116817i
\(547\) −21.1330 9.65112i −0.903583 0.412652i −0.0912373 0.995829i \(-0.529082\pi\)
−0.812345 + 0.583177i \(0.801809\pi\)
\(548\) −13.4558 41.8445i −0.574805 1.78751i
\(549\) −3.08448 + 4.79955i −0.131643 + 0.204840i
\(550\) 2.35488 + 1.71639i 0.100412 + 0.0731870i
\(551\) 21.2499 0.905275
\(552\) 13.1635 3.27447i 0.560276 0.139371i
\(553\) 10.0109 0.425708
\(554\) 36.6228 + 26.6930i 1.55595 + 1.13408i
\(555\) −2.35674 + 3.66715i −0.100038 + 0.155662i
\(556\) −18.8908 + 6.07466i −0.801148 + 0.257623i
\(557\) −25.2183 11.5168i −1.06854 0.487984i −0.198057 0.980190i \(-0.563463\pi\)
−0.870478 + 0.492207i \(0.836190\pi\)
\(558\) 1.39917 0.542305i 0.0592318 0.0229576i
\(559\) 3.55735 + 1.04453i 0.150460 + 0.0441789i
\(560\) 39.7549 + 3.65777i 1.67995 + 0.154569i
\(561\) −2.13764 4.68079i −0.0902514 0.197623i
\(562\) −5.03787 8.95262i −0.212510 0.377643i
\(563\) −19.9744 17.3079i −0.841822 0.729443i 0.122983 0.992409i \(-0.460754\pi\)
−0.964805 + 0.262966i \(0.915299\pi\)
\(564\) 18.5555 + 4.93763i 0.781327 + 0.207912i
\(565\) −5.50890 18.7616i −0.231761 0.789306i
\(566\) −7.52405 9.78804i −0.316259 0.411422i
\(567\) 3.45102 2.21783i 0.144929 0.0931403i
\(568\) −5.12920 12.2929i −0.215217 0.515800i
\(569\) 4.01178 + 27.9025i 0.168183 + 1.16974i 0.882638 + 0.470054i \(0.155766\pi\)
−0.714455 + 0.699681i \(0.753325\pi\)
\(570\) −2.12517 + 10.4070i −0.0890136 + 0.435900i
\(571\) 8.60671 + 1.23746i 0.360180 + 0.0517860i 0.320029 0.947408i \(-0.396307\pi\)
0.0401503 + 0.999194i \(0.487216\pi\)
\(572\) 5.79531 + 0.682776i 0.242314 + 0.0285483i
\(573\) −12.2163 + 10.5855i −0.510343 + 0.442214i
\(574\) −15.4373 66.8453i −0.644342 2.79007i
\(575\) −1.20552 4.24150i −0.0502737 0.176883i
\(576\) 1.66005 7.82587i 0.0691685 0.326078i
\(577\) 20.8755 + 24.0916i 0.869058 + 1.00295i 0.999933 + 0.0115476i \(0.00367579\pi\)
−0.130875 + 0.991399i \(0.541779\pi\)
\(578\) −5.59722 + 15.6124i −0.232814 + 0.649390i
\(579\) −2.38088 0.342320i −0.0989462 0.0142263i
\(580\) 0.854879 + 33.4846i 0.0354969 + 1.39037i
\(581\) −27.5335 + 3.95872i −1.14228 + 0.164235i
\(582\) 11.0029 + 0.645921i 0.456085 + 0.0267743i
\(583\) 17.2157 11.0639i 0.713003 0.458219i
\(584\) −8.85949 + 17.8140i −0.366608 + 0.737149i
\(585\) −3.03928 + 0.892414i −0.125659 + 0.0368968i
\(586\) −0.606675 + 1.14556i −0.0250615 + 0.0473227i
\(587\) 13.7801 + 11.9405i 0.568764 + 0.492837i 0.891111 0.453785i \(-0.149926\pi\)
−0.322348 + 0.946621i \(0.604472\pi\)
\(588\) 13.2473 + 14.5221i 0.546310 + 0.598882i
\(589\) −2.97957 + 1.36073i −0.122771 + 0.0560677i
\(590\) 23.2015 + 22.6167i 0.955189 + 0.931114i
\(591\) −0.648870 0.190526i −0.0266910 0.00783717i
\(592\) −3.56194 + 6.21891i −0.146395 + 0.255595i
\(593\) −1.22548 + 2.68342i −0.0503243 + 0.110195i −0.933124 0.359555i \(-0.882929\pi\)
0.882800 + 0.469750i \(0.155656\pi\)
\(594\) 3.15810 0.266423i 0.129579 0.0109315i
\(595\) −12.3900 + 19.2792i −0.507940 + 0.790371i
\(596\) 1.14265 2.68111i 0.0468047 0.109822i
\(597\) 20.4525i 0.837066i
\(598\) −6.26928 6.21832i −0.256370 0.254286i
\(599\) 28.8565 1.17905 0.589523 0.807751i \(-0.299316\pi\)
0.589523 + 0.807751i \(0.299316\pi\)
\(600\) −2.56044 0.455117i −0.104530 0.0185801i
\(601\) −4.36646 2.80615i −0.178112 0.114465i 0.448547 0.893759i \(-0.351942\pi\)
−0.626659 + 0.779294i \(0.715578\pi\)
\(602\) 1.38879 + 16.4623i 0.0566027 + 0.670954i
\(603\) −4.44667 2.03073i −0.181082 0.0826976i
\(604\) 20.1910 + 29.7216i 0.821561 + 1.20936i
\(605\) 4.09743 13.9546i 0.166584 0.567334i
\(606\) 14.6548 + 14.2854i 0.595310 + 0.580306i
\(607\) −17.3865 38.0711i −0.705697 1.54526i −0.832925 0.553386i \(-0.813335\pi\)
0.127228 0.991873i \(-0.459392\pi\)
\(608\) −2.61630 + 17.2657i −0.106105 + 0.700219i
\(609\) −18.4921 + 21.3410i −0.749336 + 0.864780i
\(610\) 17.3478 + 9.18720i 0.702393 + 0.371979i
\(611\) −3.52147 11.9930i −0.142463 0.485186i
\(612\) 3.54626 + 2.91777i 0.143349 + 0.117944i
\(613\) −25.5732 39.7927i −1.03289 1.60721i −0.765294 0.643681i \(-0.777407\pi\)
−0.267598 0.963531i \(-0.586230\pi\)
\(614\) 37.8656 + 2.22289i 1.52813 + 0.0897085i
\(615\) 4.09458 + 28.4784i 0.165109 + 1.14836i
\(616\) 6.49578 + 25.1782i 0.261722 + 1.01446i
\(617\) 0.823648 5.72860i 0.0331588 0.230625i −0.966502 0.256658i \(-0.917379\pi\)
0.999661 + 0.0260334i \(0.00828763\pi\)
\(618\) 25.6788 + 9.20615i 1.03295 + 0.370326i
\(619\) −24.0942 + 20.8778i −0.968429 + 0.839149i −0.987007 0.160679i \(-0.948632\pi\)
0.0185774 + 0.999827i \(0.494086\pi\)
\(620\) −2.26404 4.64034i −0.0909260 0.186361i
\(621\) −4.01185 2.62775i −0.160990 0.105448i
\(622\) 6.91583 + 29.9463i 0.277300 + 1.20074i
\(623\) −2.18559 2.52231i −0.0875639 0.101054i
\(624\) −4.91541 + 1.72025i −0.196774 + 0.0688652i
\(625\) 4.09181 28.4592i 0.163673 1.13837i
\(626\) 37.2803 + 7.61289i 1.49002 + 0.304272i
\(627\) −6.84776 + 0.984559i −0.273473 + 0.0393195i
\(628\) 1.78698 + 10.5158i 0.0713084 + 0.419627i
\(629\) −2.22419 3.46091i −0.0886844 0.137996i
\(630\) −8.60222 11.1906i −0.342721 0.445846i
\(631\) 11.0818 3.25390i 0.441158 0.129536i −0.0536080 0.998562i \(-0.517072\pi\)
0.494766 + 0.869027i \(0.335254\pi\)
\(632\) −6.89859 0.228512i −0.274411 0.00908973i
\(633\) −18.4328 + 21.2726i −0.732637 + 0.845508i
\(634\) −28.0921 + 15.8082i −1.11568 + 0.627823i
\(635\) −17.2081 + 7.85866i −0.682881 + 0.311861i
\(636\) −9.47850 + 15.6110i −0.375847 + 0.619016i
\(637\) 3.60500 12.2775i 0.142835 0.486452i
\(638\) −20.3419 + 7.88429i −0.805343 + 0.312142i
\(639\) −1.95634 + 4.28379i −0.0773916 + 0.169464i
\(640\) −27.3118 3.42805i −1.07960 0.135506i
\(641\) −27.2542 17.5152i −1.07647 0.691808i −0.122734 0.992440i \(-0.539166\pi\)
−0.953740 + 0.300631i \(0.902803\pi\)
\(642\) 5.88795 8.07826i 0.232379 0.318823i
\(643\) 41.6326i 1.64183i 0.571052 + 0.820914i \(0.306535\pi\)
−0.571052 + 0.820914i \(0.693465\pi\)
\(644\) 15.7403 36.0617i 0.620254 1.42103i
\(645\) 6.92845i 0.272807i
\(646\) −8.10093 5.90447i −0.318727 0.232308i
\(647\) −3.74006 2.40359i −0.147037 0.0944950i 0.465054 0.885282i \(-0.346035\pi\)
−0.612091 + 0.790787i \(0.709671\pi\)
\(648\) −2.42874 + 1.44955i −0.0954101 + 0.0569437i
\(649\) −8.76670 + 19.1964i −0.344123 + 0.753524i
\(650\) 0.611798 + 1.57847i 0.0239967 + 0.0619128i
\(651\) 1.22633 4.17648i 0.0480635 0.163689i
\(652\) 25.9670 + 15.7664i 1.01695 + 0.617458i
\(653\) 33.8128 15.4418i 1.32320 0.604285i 0.376503 0.926415i \(-0.377126\pi\)
0.946695 + 0.322131i \(0.104399\pi\)
\(654\) 13.0187 + 23.1350i 0.509070 + 0.904649i
\(655\) 8.34512 9.63079i 0.326071 0.376306i
\(656\) 9.11214 + 46.4159i 0.355769 + 1.81224i
\(657\) 6.74918 1.98174i 0.263310 0.0773149i
\(658\) 44.1583 33.9444i 1.72147 1.32329i
\(659\) −9.24320 14.3827i −0.360064 0.560271i 0.613209 0.789920i \(-0.289878\pi\)
−0.973273 + 0.229650i \(0.926242\pi\)
\(660\) −1.82691 10.7508i −0.0711123 0.418474i
\(661\) 14.2935 2.05509i 0.555952 0.0799338i 0.141388 0.989954i \(-0.454843\pi\)
0.414564 + 0.910020i \(0.363934\pi\)
\(662\) 7.47770 36.6183i 0.290629 1.42321i
\(663\) 0.425442 2.95902i 0.0165228 0.114919i
\(664\) 19.0639 2.09949i 0.739822 0.0814761i
\(665\) 20.1767 + 23.2851i 0.782418 + 0.902959i
\(666\) 2.46884 0.570158i 0.0956658 0.0220932i
\(667\) 31.5934 + 9.57537i 1.22330 + 0.370760i
\(668\) −3.14712 + 1.53549i −0.121766 + 0.0594100i
\(669\) −15.5236 + 13.4513i −0.600178 + 0.520057i
\(670\) −5.67637 + 15.8332i −0.219297 + 0.611689i
\(671\) −1.81960 + 12.6556i −0.0702447 + 0.488563i
\(672\) −15.0630 17.6525i −0.581069 0.680961i
\(673\) −1.26448 8.79468i −0.0487423 0.339010i −0.999571 0.0292925i \(-0.990675\pi\)
0.950829 0.309718i \(-0.100235\pi\)
\(674\) 0.696564 11.8656i 0.0268306 0.457044i
\(675\) 0.497088 + 0.773484i 0.0191329 + 0.0297714i
\(676\) −17.4598 14.3654i −0.671530 0.552516i
\(677\) −9.48002 32.2860i −0.364347 1.24085i −0.914088 0.405516i \(-0.867092\pi\)
0.549742 0.835335i \(-0.314726\pi\)
\(678\) −5.31933 + 10.0443i −0.204287 + 0.385748i
\(679\) 20.9367 24.1623i 0.803477 0.927262i
\(680\) 8.97811 13.0026i 0.344295 0.498628i
\(681\) −7.81903 17.1213i −0.299626 0.656089i
\(682\) 2.34739 2.40809i 0.0898863 0.0922105i
\(683\) −5.32573 + 18.1378i −0.203784 + 0.694023i 0.792653 + 0.609674i \(0.208699\pi\)
−0.996436 + 0.0843496i \(0.973119\pi\)
\(684\) 5.10706 3.46942i 0.195273 0.132656i
\(685\) 48.6387 + 22.2126i 1.85839 + 0.848698i
\(686\) 16.3502 1.37933i 0.624253 0.0526630i
\(687\) −19.9209 12.8024i −0.760031 0.488442i
\(688\) −0.581249 11.3760i −0.0221599 0.433706i
\(689\) 11.8887 0.452925
\(690\) −7.84908 + 14.5150i −0.298810 + 0.552578i
\(691\) 23.7045i 0.901763i −0.892584 0.450882i \(-0.851110\pi\)
0.892584 0.450882i \(-0.148890\pi\)
\(692\) 5.97843 14.0278i 0.227266 0.533256i
\(693\) 4.97028 7.73390i 0.188805 0.293787i
\(694\) 2.26106 + 26.8020i 0.0858287 + 1.01739i
\(695\) 10.0279 21.9580i 0.380380 0.832916i
\(696\) 13.2301 14.2841i 0.501487 0.541438i
\(697\) −26.0533 7.64993i −0.986838 0.289762i
\(698\) 4.53972 4.65710i 0.171831 0.176274i
\(699\) 21.8259 9.96755i 0.825531 0.377007i
\(700\) −5.57309 + 5.08386i −0.210643 + 0.192152i
\(701\) 12.0369 + 10.4300i 0.454627 + 0.393936i 0.851850 0.523786i \(-0.175481\pi\)
−0.397223 + 0.917722i \(0.630026\pi\)
\(702\) 1.62712 + 0.861704i 0.0614118 + 0.0325229i
\(703\) −5.30693 + 1.55826i −0.200155 + 0.0587708i
\(704\) −3.90156 17.4987i −0.147046 0.659508i
\(705\) −19.6501 + 12.6284i −0.740067 + 0.475612i
\(706\) 2.77098 47.2021i 0.104287 1.77647i
\(707\) 58.7604 8.44846i 2.20991 0.317737i
\(708\) −0.480674 18.8274i −0.0180648 0.707578i
\(709\) 1.69645 + 0.243912i 0.0637114 + 0.00916031i 0.174097 0.984729i \(-0.444299\pi\)
−0.110385 + 0.993889i \(0.535209\pi\)
\(710\) 15.2532 + 5.46844i 0.572442 + 0.205227i
\(711\) 1.59810 + 1.84430i 0.0599333 + 0.0691667i
\(712\) 1.44853 + 1.78803i 0.0542860 + 0.0670092i
\(713\) −5.04307 + 0.680451i −0.188864 + 0.0254831i
\(714\) 12.9794 2.99747i 0.485741 0.112178i
\(715\) −5.36486 + 4.64868i −0.200634 + 0.173851i
\(716\) −2.95378 + 25.0713i −0.110388 + 0.936958i
\(717\) 13.2889 + 1.91065i 0.496283 + 0.0713547i
\(718\) 23.5926 + 4.81776i 0.880468 + 0.179797i
\(719\) 0.0922866 + 0.641867i 0.00344171 + 0.0239376i 0.991470 0.130336i \(-0.0416055\pi\)
−0.988028 + 0.154273i \(0.950696\pi\)
\(720\) 5.67241 + 7.90790i 0.211398 + 0.294710i
\(721\) 66.5678 42.7805i 2.47912 1.59323i
\(722\) 10.6183 8.16230i 0.395174 0.303769i
\(723\) 3.51017 + 11.9545i 0.130545 + 0.444594i
\(724\) −21.0740 5.60782i −0.783210 0.208413i
\(725\) −4.78320 4.14467i −0.177644 0.153929i
\(726\) −7.36736 + 4.14581i −0.273429 + 0.153865i
\(727\) −5.79021 12.6788i −0.214747 0.470230i 0.771348 0.636414i \(-0.219583\pi\)
−0.986095 + 0.166184i \(0.946856\pi\)
\(728\) −4.73342 + 14.3454i −0.175432 + 0.531676i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −8.74670 22.5670i −0.323730 0.835241i
\(731\) 5.94789 + 2.71631i 0.219991 + 0.100466i
\(732\) −3.49308 10.8627i −0.129108 0.401495i
\(733\) −4.40096 + 6.84804i −0.162553 + 0.252938i −0.912970 0.408028i \(-0.866217\pi\)
0.750416 + 0.660966i \(0.229853\pi\)
\(734\) 1.34350 1.84328i 0.0495894 0.0680366i
\(735\) −23.9122 −0.882015
\(736\) −11.6699 + 24.4911i −0.430158 + 0.902754i
\(737\) −10.9552 −0.403540
\(738\) 9.85049 13.5149i 0.362602 0.497489i
\(739\) 5.65993 8.80703i 0.208204 0.323972i −0.721409 0.692509i \(-0.756505\pi\)
0.929613 + 0.368538i \(0.120141\pi\)
\(740\) −2.66893 8.29974i −0.0981118 0.305105i
\(741\) −3.65590 1.66959i −0.134303 0.0613341i
\(742\) 19.1453 + 49.3959i 0.702847 + 1.81338i
\(743\) −37.3111 10.9555i −1.36881 0.401919i −0.486951 0.873430i \(-0.661891\pi\)
−0.881861 + 0.471510i \(0.843709\pi\)
\(744\) −0.940403 + 2.85005i −0.0344768 + 0.104488i
\(745\) 1.47281 + 3.22501i 0.0539597 + 0.118155i
\(746\) −7.77157 + 4.37327i −0.284537 + 0.160117i
\(747\) −5.12463 4.44051i −0.187500 0.162470i
\(748\) 9.94551 + 2.64651i 0.363644 + 0.0967660i
\(749\) −8.16925 27.8219i −0.298498 1.01659i
\(750\) −11.1315 + 8.55677i −0.406465 + 0.312449i
\(751\) 30.4800 19.5883i 1.11223 0.714788i 0.150453 0.988617i \(-0.451927\pi\)
0.961778 + 0.273829i \(0.0882903\pi\)
\(752\) −31.2046 + 22.3834i −1.13792 + 0.816237i
\(753\) 2.71557 + 18.8872i 0.0989608 + 0.688287i
\(754\) −12.4179 2.53582i −0.452234 0.0923491i
\(755\) −43.2652 6.22060i −1.57458 0.226391i
\(756\) −0.959972 + 8.14811i −0.0349139 + 0.296344i
\(757\) −8.24608 + 7.14527i −0.299709 + 0.259699i −0.791712 0.610894i \(-0.790810\pi\)
0.492003 + 0.870593i \(0.336265\pi\)
\(758\) −19.8098 + 4.57491i −0.719526 + 0.166168i
\(759\) −10.6246 1.62185i −0.385649 0.0588696i
\(760\) −13.3724 16.5065i −0.485067 0.598754i
\(761\) −12.2086 14.0895i −0.442562 0.510744i 0.490016 0.871714i \(-0.336991\pi\)
−0.932577 + 0.360970i \(0.882446\pi\)
\(762\) 10.3510 + 3.71096i 0.374979 + 0.134434i
\(763\) 76.2198 + 10.9588i 2.75934 + 0.396734i
\(764\) −0.825105 32.3184i −0.0298513 1.16924i
\(765\) −5.52967 + 0.795046i −0.199926 + 0.0287450i
\(766\) −1.35032 + 23.0020i −0.0487892 + 0.831096i
\(767\) −10.3138 + 6.62827i −0.372409 + 0.239333i
\(768\) 9.97709 + 12.5083i 0.360017 + 0.451355i
\(769\) −25.3870 + 7.45431i −0.915480 + 0.268809i −0.705346 0.708863i \(-0.749208\pi\)
−0.210134 + 0.977673i \(0.567390\pi\)
\(770\) −27.9540 14.8041i −1.00739 0.533502i
\(771\) −15.9152 13.7906i −0.573171 0.496655i
\(772\) 3.55412 3.24213i 0.127916 0.116687i
\(773\) −35.4260 + 16.1785i −1.27419 + 0.581901i −0.933602 0.358313i \(-0.883352\pi\)