Properties

Label 280.2.bj.e.131.11
Level $280$
Weight $2$
Character 280.131
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.11
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.e.171.11

$q$-expansion

\(f(q)\) \(=\) \(q+(1.06817 + 0.926830i) q^{2} +(1.90624 - 1.10057i) q^{3} +(0.281971 + 1.98002i) q^{4} +(0.500000 - 0.866025i) q^{5} +(3.05623 + 0.591168i) q^{6} +(0.584379 + 2.58041i) q^{7} +(-1.53395 + 2.37634i) q^{8} +(0.922503 - 1.59782i) q^{9} +O(q^{10})\) \(q+(1.06817 + 0.926830i) q^{2} +(1.90624 - 1.10057i) q^{3} +(0.281971 + 1.98002i) q^{4} +(0.500000 - 0.866025i) q^{5} +(3.05623 + 0.591168i) q^{6} +(0.584379 + 2.58041i) q^{7} +(-1.53395 + 2.37634i) q^{8} +(0.922503 - 1.59782i) q^{9} +(1.33674 - 0.461647i) q^{10} +(-2.90486 - 5.03137i) q^{11} +(2.71666 + 3.46407i) q^{12} -4.83332 q^{13} +(-1.76738 + 3.29793i) q^{14} -2.20114i q^{15} +(-3.84098 + 1.11662i) q^{16} +(3.78236 - 2.18375i) q^{17} +(2.46630 - 0.851741i) q^{18} +(1.63783 + 0.945600i) q^{19} +(1.85574 + 0.745818i) q^{20} +(3.95388 + 4.27573i) q^{21} +(1.56034 - 8.06667i) q^{22} +(-0.157820 - 0.0911173i) q^{23} +(-0.308759 + 6.21810i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-5.16280 - 4.47966i) q^{26} +2.54230i q^{27} +(-4.94449 + 1.88468i) q^{28} -4.38898i q^{29} +(2.04008 - 2.35119i) q^{30} +(2.03983 + 3.53308i) q^{31} +(-5.13774 - 2.36720i) q^{32} +(-11.0747 - 6.39400i) q^{33} +(6.06416 + 1.17300i) q^{34} +(2.52689 + 0.784117i) q^{35} +(3.42385 + 1.37604i) q^{36} +(-3.69132 - 2.13119i) q^{37} +(0.873066 + 2.52805i) q^{38} +(-9.21347 + 5.31940i) q^{39} +(1.29099 + 2.51661i) q^{40} +3.44314i q^{41} +(0.260540 + 8.23178i) q^{42} -2.10796 q^{43} +(9.14314 - 7.17039i) q^{44} +(-0.922503 - 1.59782i) q^{45} +(-0.0841280 - 0.243601i) q^{46} +(-0.946816 + 1.63993i) q^{47} +(-6.09293 + 6.35581i) q^{48} +(-6.31700 + 3.01587i) q^{49} +(0.268574 - 1.38848i) q^{50} +(4.80673 - 8.32550i) q^{51} +(-1.36286 - 9.57008i) q^{52} +(8.54212 - 4.93180i) q^{53} +(-2.35628 + 2.71561i) q^{54} -5.80972 q^{55} +(-7.02833 - 2.56954i) q^{56} +4.16279 q^{57} +(4.06784 - 4.68817i) q^{58} +(-6.35546 + 3.66932i) q^{59} +(4.35830 - 0.620657i) q^{60} +(4.89522 - 8.47877i) q^{61} +(-1.09569 + 5.66450i) q^{62} +(4.66212 + 1.44670i) q^{63} +(-3.29398 - 7.29039i) q^{64} +(-2.41666 + 4.18577i) q^{65} +(-5.90354 - 17.0943i) q^{66} +(6.04954 + 10.4781i) q^{67} +(5.39039 + 6.87341i) q^{68} -0.401124 q^{69} +(1.97240 + 3.17957i) q^{70} +8.80669i q^{71} +(2.38189 + 4.64317i) q^{72} +(7.34998 - 4.24351i) q^{73} +(-1.96771 - 5.69769i) q^{74} +(-1.90624 - 1.10057i) q^{75} +(-1.41049 + 3.50957i) q^{76} +(11.2854 - 10.4360i) q^{77} +(-14.7717 - 2.85730i) q^{78} +(-10.5541 - 6.09342i) q^{79} +(-0.953472 + 3.88470i) q^{80} +(5.56549 + 9.63970i) q^{81} +(-3.19121 + 3.67786i) q^{82} +16.9697i q^{83} +(-7.35116 + 9.03441i) q^{84} -4.36749i q^{85} +(-2.25166 - 1.95372i) q^{86} +(-4.83037 - 8.36645i) q^{87} +(16.4122 + 0.814944i) q^{88} +(-5.11692 - 2.95425i) q^{89} +(0.495521 - 2.56175i) q^{90} +(-2.82449 - 12.4719i) q^{91} +(0.135914 - 0.338179i) q^{92} +(7.77680 + 4.48994i) q^{93} +(-2.53130 + 0.874188i) q^{94} +(1.63783 - 0.945600i) q^{95} +(-12.3990 + 1.14197i) q^{96} -13.2388i q^{97} +(-9.54283 - 2.63333i) q^{98} -10.7190 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.06817 + 0.926830i 0.755310 + 0.655368i
\(3\) 1.90624 1.10057i 1.10057 0.635414i 0.164198 0.986427i \(-0.447496\pi\)
0.936370 + 0.351014i \(0.114163\pi\)
\(4\) 0.281971 + 1.98002i 0.140986 + 0.990012i
\(5\) 0.500000 0.866025i 0.223607 0.387298i
\(6\) 3.05623 + 0.591168i 1.24770 + 0.241343i
\(7\) 0.584379 + 2.58041i 0.220874 + 0.975302i
\(8\) −1.53395 + 2.37634i −0.542334 + 0.840163i
\(9\) 0.922503 1.59782i 0.307501 0.532608i
\(10\) 1.33674 0.461647i 0.422715 0.145985i
\(11\) −2.90486 5.03137i −0.875849 1.51701i −0.855856 0.517214i \(-0.826969\pi\)
−0.0199929 0.999800i \(-0.506364\pi\)
\(12\) 2.71666 + 3.46407i 0.784231 + 0.999992i
\(13\) −4.83332 −1.34052 −0.670260 0.742126i \(-0.733818\pi\)
−0.670260 + 0.742126i \(0.733818\pi\)
\(14\) −1.76738 + 3.29793i −0.472353 + 0.881409i
\(15\) 2.20114i 0.568331i
\(16\) −3.84098 + 1.11662i −0.960246 + 0.279155i
\(17\) 3.78236 2.18375i 0.917357 0.529636i 0.0345662 0.999402i \(-0.488995\pi\)
0.882791 + 0.469766i \(0.155662\pi\)
\(18\) 2.46630 0.851741i 0.581313 0.200757i
\(19\) 1.63783 + 0.945600i 0.375743 + 0.216936i 0.675965 0.736934i \(-0.263727\pi\)
−0.300221 + 0.953870i \(0.597061\pi\)
\(20\) 1.85574 + 0.745818i 0.414955 + 0.166770i
\(21\) 3.95388 + 4.27573i 0.862808 + 0.933041i
\(22\) 1.56034 8.06667i 0.332666 1.71982i
\(23\) −0.157820 0.0911173i −0.0329077 0.0189993i 0.483456 0.875369i \(-0.339381\pi\)
−0.516364 + 0.856369i \(0.672715\pi\)
\(24\) −0.308759 + 6.21810i −0.0630252 + 1.26926i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −5.16280 4.47966i −1.01251 0.878534i
\(27\) 2.54230i 0.489266i
\(28\) −4.94449 + 1.88468i −0.934421 + 0.356172i
\(29\) 4.38898i 0.815013i −0.913202 0.407506i \(-0.866398\pi\)
0.913202 0.407506i \(-0.133602\pi\)
\(30\) 2.04008 2.35119i 0.372466 0.429266i
\(31\) 2.03983 + 3.53308i 0.366364 + 0.634560i 0.988994 0.147956i \(-0.0472693\pi\)
−0.622630 + 0.782516i \(0.713936\pi\)
\(32\) −5.13774 2.36720i −0.908232 0.418466i
\(33\) −11.0747 6.39400i −1.92786 1.11305i
\(34\) 6.06416 + 1.17300i 1.04000 + 0.201167i
\(35\) 2.52689 + 0.784117i 0.427122 + 0.132540i
\(36\) 3.42385 + 1.37604i 0.570641 + 0.229340i
\(37\) −3.69132 2.13119i −0.606849 0.350365i 0.164882 0.986313i \(-0.447276\pi\)
−0.771731 + 0.635949i \(0.780609\pi\)
\(38\) 0.873066 + 2.52805i 0.141630 + 0.410104i
\(39\) −9.21347 + 5.31940i −1.47534 + 0.851785i
\(40\) 1.29099 + 2.51661i 0.204124 + 0.397911i
\(41\) 3.44314i 0.537729i 0.963178 + 0.268864i \(0.0866483\pi\)
−0.963178 + 0.268864i \(0.913352\pi\)
\(42\) 0.260540 + 8.23178i 0.0402022 + 1.27019i
\(43\) −2.10796 −0.321461 −0.160731 0.986998i \(-0.551385\pi\)
−0.160731 + 0.986998i \(0.551385\pi\)
\(44\) 9.14314 7.17039i 1.37838 1.08098i
\(45\) −0.922503 1.59782i −0.137519 0.238189i
\(46\) −0.0841280 0.243601i −0.0124040 0.0359170i
\(47\) −0.946816 + 1.63993i −0.138107 + 0.239209i −0.926780 0.375604i \(-0.877435\pi\)
0.788673 + 0.614813i \(0.210769\pi\)
\(48\) −6.09293 + 6.35581i −0.879438 + 0.917382i
\(49\) −6.31700 + 3.01587i −0.902429 + 0.430839i
\(50\) 0.268574 1.38848i 0.0379821 0.196360i
\(51\) 4.80673 8.32550i 0.673076 1.16580i
\(52\) −1.36286 9.57008i −0.188994 1.32713i
\(53\) 8.54212 4.93180i 1.17335 0.677434i 0.218884 0.975751i \(-0.429758\pi\)
0.954467 + 0.298317i \(0.0964252\pi\)
\(54\) −2.35628 + 2.71561i −0.320649 + 0.369547i
\(55\) −5.80972 −0.783383
\(56\) −7.02833 2.56954i −0.939200 0.343369i
\(57\) 4.16279 0.551375
\(58\) 4.06784 4.68817i 0.534133 0.615587i
\(59\) −6.35546 + 3.66932i −0.827410 + 0.477705i −0.852965 0.521968i \(-0.825198\pi\)
0.0255550 + 0.999673i \(0.491865\pi\)
\(60\) 4.35830 0.620657i 0.562655 0.0801265i
\(61\) 4.89522 8.47877i 0.626769 1.08560i −0.361427 0.932400i \(-0.617710\pi\)
0.988196 0.153195i \(-0.0489562\pi\)
\(62\) −1.09569 + 5.66450i −0.139153 + 0.719393i
\(63\) 4.66212 + 1.44670i 0.587373 + 0.182267i
\(64\) −3.29398 7.29039i −0.411747 0.911298i
\(65\) −2.41666 + 4.18577i −0.299750 + 0.519181i
\(66\) −5.90354 17.0943i −0.726675 2.10416i
\(67\) 6.04954 + 10.4781i 0.739069 + 1.28011i 0.952915 + 0.303238i \(0.0980678\pi\)
−0.213845 + 0.976868i \(0.568599\pi\)
\(68\) 5.39039 + 6.87341i 0.653680 + 0.833523i
\(69\) −0.401124 −0.0482896
\(70\) 1.97240 + 3.17957i 0.235747 + 0.380031i
\(71\) 8.80669i 1.04516i 0.852590 + 0.522581i \(0.175031\pi\)
−0.852590 + 0.522581i \(0.824969\pi\)
\(72\) 2.38189 + 4.64317i 0.280709 + 0.547202i
\(73\) 7.34998 4.24351i 0.860250 0.496666i −0.00384586 0.999993i \(-0.501224\pi\)
0.864096 + 0.503327i \(0.167891\pi\)
\(74\) −1.96771 5.69769i −0.228741 0.662344i
\(75\) −1.90624 1.10057i −0.220114 0.127083i
\(76\) −1.41049 + 3.50957i −0.161794 + 0.402575i
\(77\) 11.2854 10.4360i 1.28610 1.18929i
\(78\) −14.7717 2.85730i −1.67257 0.323526i
\(79\) −10.5541 6.09342i −1.18743 0.685563i −0.229708 0.973259i \(-0.573777\pi\)
−0.957722 + 0.287696i \(0.907111\pi\)
\(80\) −0.953472 + 3.88470i −0.106601 + 0.434323i
\(81\) 5.56549 + 9.63970i 0.618387 + 1.07108i
\(82\) −3.19121 + 3.67786i −0.352410 + 0.406152i
\(83\) 16.9697i 1.86267i 0.364163 + 0.931335i \(0.381355\pi\)
−0.364163 + 0.931335i \(0.618645\pi\)
\(84\) −7.35116 + 9.03441i −0.802078 + 0.985735i
\(85\) 4.36749i 0.473721i
\(86\) −2.25166 1.95372i −0.242803 0.210676i
\(87\) −4.83037 8.36645i −0.517870 0.896977i
\(88\) 16.4122 + 0.814944i 1.74954 + 0.0868734i
\(89\) −5.11692 2.95425i −0.542392 0.313150i 0.203656 0.979043i \(-0.434718\pi\)
−0.746048 + 0.665892i \(0.768051\pi\)
\(90\) 0.495521 2.56175i 0.0522325 0.270032i
\(91\) −2.82449 12.4719i −0.296087 1.30741i
\(92\) 0.135914 0.338179i 0.0141700 0.0352576i
\(93\) 7.77680 + 4.48994i 0.806417 + 0.465585i
\(94\) −2.53130 + 0.874188i −0.261084 + 0.0901656i
\(95\) 1.63783 0.945600i 0.168038 0.0970165i
\(96\) −12.3990 + 1.14197i −1.26547 + 0.116552i
\(97\) 13.2388i 1.34420i −0.740461 0.672100i \(-0.765393\pi\)
0.740461 0.672100i \(-0.234607\pi\)
\(98\) −9.54283 2.63333i −0.963971 0.266007i
\(99\) −10.7190 −1.07730
\(100\) 1.57376 1.23421i 0.157376 0.123421i
\(101\) 1.23442 + 2.13807i 0.122829 + 0.212746i 0.920882 0.389841i \(-0.127470\pi\)
−0.798053 + 0.602587i \(0.794137\pi\)
\(102\) 12.8507 4.43802i 1.27241 0.439429i
\(103\) −0.920346 + 1.59409i −0.0906844 + 0.157070i −0.907799 0.419405i \(-0.862239\pi\)
0.817115 + 0.576475i \(0.195572\pi\)
\(104\) 7.41408 11.4856i 0.727010 1.12626i
\(105\) 5.67983 1.28630i 0.554295 0.125530i
\(106\) 13.6954 + 2.64910i 1.33021 + 0.257304i
\(107\) 9.08674 15.7387i 0.878448 1.52152i 0.0254044 0.999677i \(-0.491913\pi\)
0.853044 0.521839i \(-0.174754\pi\)
\(108\) −5.03381 + 0.716855i −0.484379 + 0.0689794i
\(109\) −3.40525 + 1.96602i −0.326164 + 0.188311i −0.654137 0.756376i \(-0.726968\pi\)
0.327973 + 0.944687i \(0.393635\pi\)
\(110\) −6.20577 5.38463i −0.591697 0.513404i
\(111\) −9.38206 −0.890506
\(112\) −5.12592 9.25878i −0.484354 0.874872i
\(113\) 7.16641 0.674159 0.337079 0.941476i \(-0.390561\pi\)
0.337079 + 0.941476i \(0.390561\pi\)
\(114\) 4.44657 + 3.85820i 0.416459 + 0.361354i
\(115\) −0.157820 + 0.0911173i −0.0147168 + 0.00849673i
\(116\) 8.69028 1.23756i 0.806872 0.114905i
\(117\) −4.45875 + 7.72278i −0.412212 + 0.713972i
\(118\) −10.1895 1.97097i −0.938024 0.181443i
\(119\) 7.84529 + 8.48390i 0.719176 + 0.777717i
\(120\) 5.23065 + 3.37644i 0.477491 + 0.308226i
\(121\) −11.3764 + 19.7046i −1.03422 + 1.79133i
\(122\) 13.0873 4.51972i 1.18487 0.409196i
\(123\) 3.78942 + 6.56346i 0.341680 + 0.591808i
\(124\) −6.42041 + 5.03513i −0.576570 + 0.452168i
\(125\) −1.00000 −0.0894427
\(126\) 3.63909 + 5.86632i 0.324196 + 0.522613i
\(127\) 2.88206i 0.255742i 0.991791 + 0.127871i \(0.0408143\pi\)
−0.991791 + 0.127871i \(0.959186\pi\)
\(128\) 3.23842 10.8403i 0.286239 0.958158i
\(129\) −4.01829 + 2.31996i −0.353790 + 0.204261i
\(130\) −6.46090 + 2.23128i −0.566659 + 0.195697i
\(131\) 6.92953 + 4.00076i 0.605436 + 0.349548i 0.771177 0.636621i \(-0.219668\pi\)
−0.165741 + 0.986169i \(0.553002\pi\)
\(132\) 9.53752 23.7312i 0.830134 2.06553i
\(133\) −1.48292 + 4.77885i −0.128586 + 0.414379i
\(134\) −3.24950 + 16.7993i −0.280714 + 1.45124i
\(135\) 2.20170 + 1.27115i 0.189492 + 0.109403i
\(136\) −0.612639 + 12.3379i −0.0525334 + 1.05797i
\(137\) 5.09925 + 8.83216i 0.435658 + 0.754582i 0.997349 0.0727651i \(-0.0231823\pi\)
−0.561691 + 0.827347i \(0.689849\pi\)
\(138\) −0.428468 0.371773i −0.0364736 0.0316475i
\(139\) 9.93769i 0.842904i 0.906851 + 0.421452i \(0.138479\pi\)
−0.906851 + 0.421452i \(0.861521\pi\)
\(140\) −0.840060 + 5.22439i −0.0709981 + 0.441542i
\(141\) 4.16814i 0.351021i
\(142\) −8.16230 + 9.40703i −0.684965 + 0.789421i
\(143\) 14.0401 + 24.3182i 1.17409 + 2.03359i
\(144\) −1.75916 + 7.16730i −0.146597 + 0.597275i
\(145\) −3.80097 2.19449i −0.315653 0.182242i
\(146\) 11.7840 + 2.27939i 0.975254 + 0.188644i
\(147\) −8.72256 + 12.7013i −0.719424 + 1.04758i
\(148\) 3.17895 7.90983i 0.261308 0.650184i
\(149\) −13.6559 7.88422i −1.11873 0.645900i −0.177655 0.984093i \(-0.556851\pi\)
−0.941077 + 0.338192i \(0.890185\pi\)
\(150\) −1.01615 2.94236i −0.0829681 0.240242i
\(151\) 5.24155 3.02621i 0.426552 0.246270i −0.271325 0.962488i \(-0.587462\pi\)
0.697877 + 0.716218i \(0.254128\pi\)
\(152\) −4.75942 + 2.44153i −0.386040 + 0.198034i
\(153\) 8.05806i 0.651455i
\(154\) 21.7271 0.687674i 1.75082 0.0554143i
\(155\) 4.07965 0.327686
\(156\) −13.1305 16.7430i −1.05128 1.34051i
\(157\) 10.2074 + 17.6798i 0.814641 + 1.41100i 0.909585 + 0.415518i \(0.136400\pi\)
−0.0949439 + 0.995483i \(0.530267\pi\)
\(158\) −5.62601 16.2907i −0.447581 1.29602i
\(159\) 10.8556 18.8024i 0.860902 1.49113i
\(160\) −4.61893 + 3.26581i −0.365158 + 0.258185i
\(161\) 0.142893 0.460486i 0.0112616 0.0362914i
\(162\) −2.98949 + 15.4551i −0.234876 + 1.21427i
\(163\) 1.91267 3.31285i 0.149812 0.259482i −0.781346 0.624098i \(-0.785466\pi\)
0.931158 + 0.364616i \(0.118800\pi\)
\(164\) −6.81751 + 0.970867i −0.532358 + 0.0758120i
\(165\) −11.0747 + 6.39400i −0.862167 + 0.497772i
\(166\) −15.7281 + 18.1266i −1.22073 + 1.40689i
\(167\) 21.6531 1.67556 0.837782 0.546005i \(-0.183852\pi\)
0.837782 + 0.546005i \(0.183852\pi\)
\(168\) −16.2257 + 2.83700i −1.25184 + 0.218879i
\(169\) 10.3609 0.796996
\(170\) 4.04793 4.66522i 0.310462 0.357806i
\(171\) 3.02180 1.74464i 0.231083 0.133416i
\(172\) −0.594385 4.17382i −0.0453214 0.318251i
\(173\) −5.20160 + 9.00944i −0.395470 + 0.684975i −0.993161 0.116752i \(-0.962752\pi\)
0.597691 + 0.801727i \(0.296085\pi\)
\(174\) 2.59462 13.4137i 0.196698 1.01689i
\(175\) 1.94251 1.79629i 0.146840 0.135787i
\(176\) 16.7756 + 16.0818i 1.26451 + 1.21221i
\(177\) −8.07669 + 13.9892i −0.607081 + 1.05150i
\(178\) −2.72764 7.89816i −0.204445 0.591992i
\(179\) 3.80514 + 6.59069i 0.284409 + 0.492611i 0.972466 0.233046i \(-0.0748692\pi\)
−0.688056 + 0.725657i \(0.741536\pi\)
\(180\) 2.90361 2.27712i 0.216422 0.169726i
\(181\) 11.2225 0.834160 0.417080 0.908870i \(-0.363054\pi\)
0.417080 + 0.908870i \(0.363054\pi\)
\(182\) 8.54233 15.9399i 0.633199 1.18155i
\(183\) 21.5501i 1.59303i
\(184\) 0.458614 0.235264i 0.0338095 0.0173439i
\(185\) −3.69132 + 2.13119i −0.271391 + 0.156688i
\(186\) 4.14553 + 12.0038i 0.303965 + 0.880161i
\(187\) −21.9745 12.6870i −1.60693 0.927763i
\(188\) −3.51408 1.41230i −0.256291 0.103003i
\(189\) −6.56017 + 1.48567i −0.477182 + 0.108066i
\(190\) 2.62589 + 0.507927i 0.190502 + 0.0368489i
\(191\) −6.68571 3.86000i −0.483761 0.279300i 0.238222 0.971211i \(-0.423436\pi\)
−0.721983 + 0.691911i \(0.756769\pi\)
\(192\) −14.3027 10.2720i −1.03221 0.741317i
\(193\) −11.7011 20.2669i −0.842265 1.45885i −0.887975 0.459892i \(-0.847888\pi\)
0.0457097 0.998955i \(-0.485445\pi\)
\(194\) 12.2701 14.1413i 0.880945 1.01529i
\(195\) 10.6388i 0.761860i
\(196\) −7.75271 11.6574i −0.553765 0.832673i
\(197\) 20.4272i 1.45538i −0.685907 0.727689i \(-0.740594\pi\)
0.685907 0.727689i \(-0.259406\pi\)
\(198\) −11.4497 9.93468i −0.813694 0.706027i
\(199\) −1.10091 1.90683i −0.0780413 0.135172i 0.824363 0.566061i \(-0.191533\pi\)
−0.902405 + 0.430889i \(0.858200\pi\)
\(200\) 2.82495 + 0.140272i 0.199754 + 0.00991876i
\(201\) 23.0638 + 13.3159i 1.62679 + 0.939230i
\(202\) −0.663064 + 3.42792i −0.0466530 + 0.241187i
\(203\) 11.3253 2.56482i 0.794884 0.180015i
\(204\) 17.8400 + 7.16988i 1.24905 + 0.501992i
\(205\) 2.98185 + 1.72157i 0.208261 + 0.120240i
\(206\) −2.46053 + 0.849749i −0.171433 + 0.0592048i
\(207\) −0.291179 + 0.168112i −0.0202383 + 0.0116846i
\(208\) 18.5647 5.39697i 1.28723 0.374213i
\(209\) 10.9874i 0.760011i
\(210\) 7.25920 + 3.89026i 0.500932 + 0.268453i
\(211\) −28.9363 −1.99206 −0.996028 0.0890425i \(-0.971619\pi\)
−0.996028 + 0.0890425i \(0.971619\pi\)
\(212\) 12.1737 + 15.5230i 0.836093 + 1.06612i
\(213\) 9.69236 + 16.7877i 0.664110 + 1.15027i
\(214\) 24.2933 8.38972i 1.66065 0.573510i
\(215\) −1.05398 + 1.82555i −0.0718810 + 0.124501i
\(216\) −6.04136 3.89977i −0.411063 0.265346i
\(217\) −7.92476 + 7.32824i −0.537968 + 0.497473i
\(218\) −5.45955 1.05605i −0.369768 0.0715244i
\(219\) 9.34056 16.1783i 0.631176 1.09323i
\(220\) −1.63817 11.5034i −0.110446 0.775558i
\(221\) −18.2813 + 10.5547i −1.22974 + 0.709989i
\(222\) −10.0216 8.69558i −0.672608 0.583609i
\(223\) 11.0535 0.740200 0.370100 0.928992i \(-0.379323\pi\)
0.370100 + 0.928992i \(0.379323\pi\)
\(224\) 3.10596 14.6408i 0.207526 0.978230i
\(225\) −1.84501 −0.123000
\(226\) 7.65493 + 6.64204i 0.509199 + 0.441822i
\(227\) 7.11916 4.11025i 0.472515 0.272807i −0.244777 0.969579i \(-0.578715\pi\)
0.717292 + 0.696773i \(0.245381\pi\)
\(228\) 1.17379 + 8.24243i 0.0777359 + 0.545868i
\(229\) −5.03725 + 8.72478i −0.332871 + 0.576549i −0.983074 0.183211i \(-0.941351\pi\)
0.650203 + 0.759761i \(0.274684\pi\)
\(230\) −0.253029 0.0489435i −0.0166842 0.00322724i
\(231\) 10.0273 32.3138i 0.659747 2.12609i
\(232\) 10.4297 + 6.73248i 0.684743 + 0.442009i
\(233\) 3.68557 6.38359i 0.241450 0.418203i −0.719678 0.694308i \(-0.755711\pi\)
0.961127 + 0.276105i \(0.0890438\pi\)
\(234\) −11.9204 + 4.11673i −0.779262 + 0.269119i
\(235\) 0.946816 + 1.63993i 0.0617634 + 0.106977i
\(236\) −9.05740 11.5493i −0.589587 0.751796i
\(237\) −26.8249 −1.74246
\(238\) 0.516963 + 16.3335i 0.0335097 + 1.05874i
\(239\) 20.9534i 1.35536i −0.735355 0.677682i \(-0.762984\pi\)
0.735355 0.677682i \(-0.237016\pi\)
\(240\) 2.45783 + 8.45454i 0.158652 + 0.545738i
\(241\) −2.42132 + 1.39795i −0.155971 + 0.0900498i −0.575954 0.817482i \(-0.695369\pi\)
0.419983 + 0.907532i \(0.362036\pi\)
\(242\) −30.4148 + 10.5038i −1.95514 + 0.675209i
\(243\) 14.6132 + 8.43695i 0.937439 + 0.541231i
\(244\) 18.1685 + 7.30188i 1.16312 + 0.467455i
\(245\) −0.546681 + 6.97862i −0.0349262 + 0.445848i
\(246\) −2.03548 + 10.5230i −0.129777 + 0.670924i
\(247\) −7.91614 4.57039i −0.503692 0.290807i
\(248\) −11.5248 0.572263i −0.731826 0.0363387i
\(249\) 18.6764 + 32.3484i 1.18357 + 2.05000i
\(250\) −1.06817 0.926830i −0.0675570 0.0586179i
\(251\) 18.7656i 1.18448i −0.805763 0.592238i \(-0.798244\pi\)
0.805763 0.592238i \(-0.201756\pi\)
\(252\) −1.54992 + 9.63904i −0.0976356 + 0.607203i
\(253\) 1.05873i 0.0665620i
\(254\) −2.67118 + 3.07853i −0.167605 + 0.193164i
\(255\) −4.80673 8.32550i −0.301009 0.521363i
\(256\) 13.5063 8.57783i 0.844145 0.536114i
\(257\) −6.76564 3.90615i −0.422029 0.243659i 0.273916 0.961754i \(-0.411681\pi\)
−0.695945 + 0.718095i \(0.745014\pi\)
\(258\) −6.44242 1.24616i −0.401088 0.0775826i
\(259\) 3.34220 10.7705i 0.207674 0.669248i
\(260\) −8.96936 3.60477i −0.556256 0.223558i
\(261\) −7.01281 4.04885i −0.434082 0.250617i
\(262\) 3.69388 + 10.6960i 0.228209 + 0.660800i
\(263\) −5.03985 + 2.90976i −0.310770 + 0.179423i −0.647271 0.762260i \(-0.724090\pi\)
0.336501 + 0.941683i \(0.390757\pi\)
\(264\) 32.1824 16.5092i 1.98069 1.01607i
\(265\) 9.86359i 0.605916i
\(266\) −6.01320 + 3.73020i −0.368693 + 0.228713i
\(267\) −13.0054 −0.795920
\(268\) −19.0411 + 14.9328i −1.16312 + 0.912164i
\(269\) −12.0950 20.9492i −0.737445 1.27729i −0.953642 0.300943i \(-0.902699\pi\)
0.216197 0.976350i \(-0.430635\pi\)
\(270\) 1.17364 + 3.39840i 0.0714257 + 0.206820i
\(271\) −7.83742 + 13.5748i −0.476089 + 0.824611i −0.999625 0.0273932i \(-0.991279\pi\)
0.523536 + 0.852004i \(0.324613\pi\)
\(272\) −12.0896 + 12.6112i −0.733038 + 0.764666i
\(273\) −19.1104 20.6660i −1.15661 1.25076i
\(274\) −2.73905 + 14.1604i −0.165472 + 0.855460i
\(275\) −2.90486 + 5.03137i −0.175170 + 0.303403i
\(276\) −0.113105 0.794234i −0.00680813 0.0478073i
\(277\) −12.6984 + 7.33142i −0.762972 + 0.440502i −0.830362 0.557225i \(-0.811866\pi\)
0.0673898 + 0.997727i \(0.478533\pi\)
\(278\) −9.21055 + 10.6151i −0.552412 + 0.636653i
\(279\) 7.52699 0.450629
\(280\) −5.73945 + 4.80194i −0.342998 + 0.286971i
\(281\) 15.0418 0.897320 0.448660 0.893703i \(-0.351901\pi\)
0.448660 + 0.893703i \(0.351901\pi\)
\(282\) −3.86316 + 4.45228i −0.230048 + 0.265130i
\(283\) 4.29409 2.47919i 0.255257 0.147373i −0.366912 0.930256i \(-0.619585\pi\)
0.622169 + 0.782883i \(0.286252\pi\)
\(284\) −17.4374 + 2.48323i −1.03472 + 0.147353i
\(285\) 2.08140 3.60508i 0.123291 0.213547i
\(286\) −7.54162 + 38.9888i −0.445945 + 2.30545i
\(287\) −8.88471 + 2.01210i −0.524448 + 0.118771i
\(288\) −8.52195 + 6.02544i −0.502161 + 0.355053i
\(289\) 1.03750 1.79700i 0.0610294 0.105706i
\(290\) −2.02616 5.86693i −0.118980 0.344518i
\(291\) −14.5702 25.2364i −0.854123 1.47938i
\(292\) 10.4747 + 13.3566i 0.612988 + 0.781635i
\(293\) −2.56812 −0.150031 −0.0750156 0.997182i \(-0.523901\pi\)
−0.0750156 + 0.997182i \(0.523901\pi\)
\(294\) −21.0891 + 5.48278i −1.22994 + 0.319762i
\(295\) 7.33865i 0.427273i
\(296\) 10.7267 5.50269i 0.623479 0.319838i
\(297\) 12.7912 7.38503i 0.742223 0.428523i
\(298\) −7.27944 21.0784i −0.421687 1.22104i
\(299\) 0.762793 + 0.440399i 0.0441135 + 0.0254689i
\(300\) 1.64165 4.08473i 0.0947805 0.235832i
\(301\) −1.23185 5.43941i −0.0710026 0.313522i
\(302\) 8.40365 + 1.62552i 0.483576 + 0.0935384i
\(303\) 4.70619 + 2.71712i 0.270363 + 0.156094i
\(304\) −7.34675 1.80321i −0.421365 0.103421i
\(305\) −4.89522 8.47877i −0.280299 0.485493i
\(306\) 7.46845 8.60737i 0.426943 0.492050i
\(307\) 14.4425i 0.824280i −0.911121 0.412140i \(-0.864781\pi\)
0.911121 0.412140i \(-0.135219\pi\)
\(308\) 23.8456 + 19.4028i 1.35873 + 1.10558i
\(309\) 4.05162i 0.230488i
\(310\) 4.35776 + 3.78115i 0.247504 + 0.214755i
\(311\) 8.26712 + 14.3191i 0.468785 + 0.811960i 0.999363 0.0356762i \(-0.0113585\pi\)
−0.530578 + 0.847636i \(0.678025\pi\)
\(312\) 1.49233 30.0540i 0.0844866 1.70147i
\(313\) 2.19818 + 1.26912i 0.124248 + 0.0717348i 0.560836 0.827927i \(-0.310480\pi\)
−0.436588 + 0.899662i \(0.643813\pi\)
\(314\) −5.48290 + 28.3456i −0.309418 + 1.59963i
\(315\) 3.58394 3.31417i 0.201932 0.186732i
\(316\) 9.08916 22.6156i 0.511305 1.27222i
\(317\) 14.8432 + 8.56971i 0.833676 + 0.481323i 0.855109 0.518447i \(-0.173490\pi\)
−0.0214339 + 0.999770i \(0.506823\pi\)
\(318\) 29.0222 10.0229i 1.62748 0.562054i
\(319\) −22.0826 + 12.7494i −1.23639 + 0.713828i
\(320\) −7.96065 0.792525i −0.445014 0.0443035i
\(321\) 40.0023i 2.23271i
\(322\) 0.579427 0.359440i 0.0322902 0.0200308i
\(323\) 8.25981 0.459588
\(324\) −17.5175 + 13.7379i −0.973196 + 0.763217i
\(325\) 2.41666 + 4.18577i 0.134052 + 0.232185i
\(326\) 5.11351 1.76596i 0.283211 0.0978074i
\(327\) −4.32749 + 7.49543i −0.239311 + 0.414498i
\(328\) −8.18208 5.28162i −0.451780 0.291629i
\(329\) −4.78499 1.48483i −0.263805 0.0818612i
\(330\) −17.7558 3.43452i −0.977427 0.189064i
\(331\) −11.9027 + 20.6161i −0.654233 + 1.13317i 0.327852 + 0.944729i \(0.393675\pi\)
−0.982085 + 0.188436i \(0.939658\pi\)
\(332\) −33.6005 + 4.78498i −1.84407 + 0.262610i
\(333\) −6.81051 + 3.93205i −0.373214 + 0.215475i
\(334\) 23.1291 + 20.0687i 1.26557 + 1.09811i
\(335\) 12.0991 0.661044
\(336\) −19.9612 12.0080i −1.08897 0.655092i
\(337\) 1.22715 0.0668470 0.0334235 0.999441i \(-0.489359\pi\)
0.0334235 + 0.999441i \(0.489359\pi\)
\(338\) 11.0672 + 9.60284i 0.601979 + 0.522326i
\(339\) 13.6609 7.88712i 0.741958 0.428370i
\(340\) 8.64774 1.23151i 0.468990 0.0667878i
\(341\) 11.8508 20.5262i 0.641758 1.11156i
\(342\) 4.84478 + 0.937129i 0.261976 + 0.0506741i
\(343\) −11.4737 14.5380i −0.619521 0.784980i
\(344\) 3.23352 5.00924i 0.174340 0.270080i
\(345\) −0.200562 + 0.347383i −0.0107979 + 0.0187025i
\(346\) −13.9064 + 4.80260i −0.747613 + 0.258189i
\(347\) −15.4834 26.8181i −0.831194 1.43967i −0.897092 0.441844i \(-0.854325\pi\)
0.0658983 0.997826i \(-0.479009\pi\)
\(348\) 15.2037 11.9233i 0.815006 0.639158i
\(349\) 26.6776 1.42802 0.714010 0.700136i \(-0.246877\pi\)
0.714010 + 0.700136i \(0.246877\pi\)
\(350\) 3.73978 0.118366i 0.199900 0.00632693i
\(351\) 12.2877i 0.655871i
\(352\) 3.01415 + 32.7262i 0.160654 + 1.74431i
\(353\) −12.1501 + 7.01487i −0.646685 + 0.373364i −0.787185 0.616717i \(-0.788462\pi\)
0.140500 + 0.990081i \(0.455129\pi\)
\(354\) −21.5929 + 7.45715i −1.14765 + 0.396343i
\(355\) 7.62681 + 4.40334i 0.404789 + 0.233705i
\(356\) 4.40667 10.9646i 0.233553 0.581124i
\(357\) 24.2921 + 7.53807i 1.28568 + 0.398957i
\(358\) −2.04392 + 10.5667i −0.108025 + 0.558467i
\(359\) −10.5164 6.07165i −0.555035 0.320450i 0.196115 0.980581i \(-0.437167\pi\)
−0.751150 + 0.660131i \(0.770501\pi\)
\(360\) 5.21205 + 0.258804i 0.274699 + 0.0136402i
\(361\) −7.71168 13.3570i −0.405878 0.703001i
\(362\) 11.9875 + 10.4013i 0.630049 + 0.546682i
\(363\) 50.0822i 2.62864i
\(364\) 23.8983 9.10927i 1.25261 0.477456i
\(365\) 8.48703i 0.444231i
\(366\) 19.9733 23.0192i 1.04402 1.20323i
\(367\) −5.75583 9.96939i −0.300452 0.520398i 0.675787 0.737097i \(-0.263804\pi\)
−0.976238 + 0.216700i \(0.930471\pi\)
\(368\) 0.707927 + 0.173756i 0.0369032 + 0.00905764i
\(369\) 5.50153 + 3.17631i 0.286398 + 0.165352i
\(370\) −5.91820 1.14476i −0.307673 0.0595133i
\(371\) 17.7179 + 19.1601i 0.919866 + 0.994744i
\(372\) −6.69735 + 16.6643i −0.347241 + 0.864003i
\(373\) −20.3241 11.7341i −1.05234 0.607570i −0.129037 0.991640i \(-0.541189\pi\)
−0.923304 + 0.384070i \(0.874522\pi\)
\(374\) −11.7138 33.9184i −0.605705 1.75388i
\(375\) −1.90624 + 1.10057i −0.0984379 + 0.0568331i
\(376\) −2.44467 4.76553i −0.126074 0.245764i
\(377\) 21.2133i 1.09254i
\(378\) −8.38433 4.49322i −0.431243 0.231106i
\(379\) −15.5653 −0.799536 −0.399768 0.916616i \(-0.630909\pi\)
−0.399768 + 0.916616i \(0.630909\pi\)
\(380\) 2.33413 + 2.97630i 0.119738 + 0.152681i
\(381\) 3.17191 + 5.49391i 0.162502 + 0.281462i
\(382\) −3.56391 10.3196i −0.182345 0.527999i
\(383\) 7.45943 12.9201i 0.381159 0.660187i −0.610069 0.792348i \(-0.708858\pi\)
0.991228 + 0.132161i \(0.0421917\pi\)
\(384\) −5.75730 24.2284i −0.293801 1.23640i
\(385\) −3.39508 14.9915i −0.173029 0.764035i
\(386\) 6.28524 32.4935i 0.319910 1.65387i
\(387\) −1.94460 + 3.36815i −0.0988498 + 0.171213i
\(388\) 26.2132 3.73297i 1.33077 0.189513i
\(389\) 10.9524 6.32338i 0.555310 0.320608i −0.195951 0.980614i \(-0.562779\pi\)
0.751261 + 0.660006i \(0.229446\pi\)
\(390\) −9.86036 + 11.3640i −0.499299 + 0.575440i
\(391\) −0.795909 −0.0402508
\(392\) 2.52325 19.6375i 0.127444 0.991846i
\(393\) 17.6125 0.888431
\(394\) 18.9326 21.8197i 0.953808 1.09926i
\(395\) −10.5541 + 6.09342i −0.531035 + 0.306593i
\(396\) −3.02244 21.2238i −0.151883 1.06654i
\(397\) −7.61650 + 13.1922i −0.382261 + 0.662095i −0.991385 0.130979i \(-0.958188\pi\)
0.609124 + 0.793075i \(0.291521\pi\)
\(398\) 0.591351 3.05717i 0.0296417 0.153242i
\(399\) 2.43265 + 10.7417i 0.121785 + 0.537758i
\(400\) 2.88751 + 2.76808i 0.144376 + 0.138404i
\(401\) −7.73594 + 13.3990i −0.386315 + 0.669117i −0.991951 0.126625i \(-0.959585\pi\)
0.605636 + 0.795742i \(0.292919\pi\)
\(402\) 12.2945 + 35.5998i 0.613192 + 1.77556i
\(403\) −9.85913 17.0765i −0.491118 0.850641i
\(404\) −3.88536 + 3.04705i −0.193304 + 0.151596i
\(405\) 11.1310 0.553102
\(406\) 14.4745 + 7.75701i 0.718360 + 0.384974i
\(407\) 24.7632i 1.22747i
\(408\) 12.4109 + 24.1933i 0.614432 + 1.19775i
\(409\) −7.47055 + 4.31313i −0.369395 + 0.213270i −0.673194 0.739466i \(-0.735078\pi\)
0.303799 + 0.952736i \(0.401745\pi\)
\(410\) 1.58952 + 4.60260i 0.0785006 + 0.227306i
\(411\) 19.4408 + 11.2241i 0.958944 + 0.553646i
\(412\) −3.41584 1.37282i −0.168286 0.0676340i
\(413\) −13.1823 14.2554i −0.648661 0.701462i
\(414\) −0.466839 0.0903011i −0.0229439 0.00443806i
\(415\) 14.6962 + 8.48487i 0.721409 + 0.416506i
\(416\) 24.8323 + 11.4414i 1.21750 + 0.560963i
\(417\) 10.9371 + 18.9436i 0.535592 + 0.927673i
\(418\) 10.1834 11.7364i 0.498087 0.574044i
\(419\) 10.6898i 0.522230i −0.965308 0.261115i \(-0.915910\pi\)
0.965308 0.261115i \(-0.0840902\pi\)
\(420\) 4.14845 + 10.8835i 0.202424 + 0.531060i
\(421\) 20.4941i 0.998823i 0.866365 + 0.499412i \(0.166450\pi\)
−0.866365 + 0.499412i \(0.833550\pi\)
\(422\) −30.9088 26.8190i −1.50462 1.30553i
\(423\) 1.74688 + 3.02569i 0.0849363 + 0.147114i
\(424\) −1.38359 + 27.8641i −0.0671931 + 1.35320i
\(425\) −3.78236 2.18375i −0.183471 0.105927i
\(426\) −5.20623 + 26.9152i −0.252243 + 1.30405i
\(427\) 24.7393 + 7.67685i 1.19722 + 0.371509i
\(428\) 33.7252 + 13.5541i 1.63017 + 0.655162i
\(429\) 53.5277 + 30.9042i 2.58434 + 1.49207i
\(430\) −2.81781 + 0.973134i −0.135887 + 0.0469287i
\(431\) −20.9544 + 12.0980i −1.00934 + 0.582740i −0.910997 0.412412i \(-0.864686\pi\)
−0.0983389 + 0.995153i \(0.531353\pi\)
\(432\) −2.83878 9.76493i −0.136581 0.469815i
\(433\) 20.2949i 0.975311i 0.873036 + 0.487655i \(0.162148\pi\)
−0.873036 + 0.487655i \(0.837852\pi\)
\(434\) −15.2570 + 0.482892i −0.732361 + 0.0231796i
\(435\) −9.66074 −0.463197
\(436\) −4.85295 6.18811i −0.232414 0.296357i
\(437\) −0.172321 0.298469i −0.00824324 0.0142777i
\(438\) 24.9719 8.62407i 1.19320 0.412074i
\(439\) 2.52231 4.36878i 0.120384 0.208510i −0.799535 0.600619i \(-0.794921\pi\)
0.919919 + 0.392109i \(0.128254\pi\)
\(440\) 8.91184 13.8059i 0.424855 0.658169i
\(441\) −1.00863 + 12.8756i −0.0480300 + 0.613124i
\(442\) −29.3100 5.66946i −1.39414 0.269669i
\(443\) −4.04696 + 7.00955i −0.192277 + 0.333034i −0.946005 0.324153i \(-0.894921\pi\)
0.753727 + 0.657187i \(0.228254\pi\)
\(444\) −2.64547 18.5767i −0.125548 0.881611i
\(445\) −5.11692 + 2.95425i −0.242565 + 0.140045i
\(446\) 11.8070 + 10.2448i 0.559080 + 0.485103i
\(447\) −34.7085 −1.64166
\(448\) 16.8872 12.7601i 0.797847 0.602860i
\(449\) −4.05786 −0.191502 −0.0957511 0.995405i \(-0.530525\pi\)
−0.0957511 + 0.995405i \(0.530525\pi\)
\(450\) −1.97078 1.71001i −0.0929034 0.0806106i
\(451\) 17.3237 10.0019i 0.815742 0.470969i
\(452\) 2.02072 + 14.1897i 0.0950466 + 0.667425i
\(453\) 6.66111 11.5374i 0.312966 0.542074i
\(454\) 11.4140 + 2.20781i 0.535684 + 0.103618i
\(455\) −12.2132 3.78988i −0.572566 0.177673i
\(456\) −6.38553 + 9.89221i −0.299030 + 0.463245i
\(457\) −2.70734 + 4.68925i −0.126644 + 0.219354i −0.922374 0.386297i \(-0.873754\pi\)
0.795730 + 0.605651i \(0.207087\pi\)
\(458\) −13.4670 + 4.65086i −0.629273 + 0.217320i
\(459\) 5.55174 + 9.61589i 0.259133 + 0.448831i
\(460\) −0.224915 0.286794i −0.0104867 0.0133719i
\(461\) −18.9095 −0.880702 −0.440351 0.897826i \(-0.645146\pi\)
−0.440351 + 0.897826i \(0.645146\pi\)
\(462\) 40.6603 25.2231i 1.89169 1.17348i
\(463\) 0.304782i 0.0141644i −0.999975 0.00708220i \(-0.997746\pi\)
0.999975 0.00708220i \(-0.00225435\pi\)
\(464\) 4.90081 + 16.8580i 0.227515 + 0.782613i
\(465\) 7.77680 4.48994i 0.360641 0.208216i
\(466\) 9.85331 3.40286i 0.456446 0.157634i
\(467\) −3.35368 1.93625i −0.155190 0.0895989i 0.420394 0.907342i \(-0.361892\pi\)
−0.575584 + 0.817743i \(0.695225\pi\)
\(468\) −16.5485 6.65083i −0.764956 0.307435i
\(469\) −23.5026 + 21.7335i −1.08525 + 1.00356i
\(470\) −0.508580 + 2.62926i −0.0234590 + 0.121279i
\(471\) 38.9156 + 22.4680i 1.79314 + 1.03527i
\(472\) 1.02941 20.7313i 0.0473825 0.954235i
\(473\) 6.12334 + 10.6059i 0.281552 + 0.487662i
\(474\) −28.6535 24.8621i −1.31610 1.14196i
\(475\) 1.89120i 0.0867742i
\(476\) −14.5862 + 17.9261i −0.668556 + 0.821640i
\(477\) 18.1984i 0.833247i
\(478\) 19.4203 22.3818i 0.888263 1.02372i
\(479\) 16.4744 + 28.5344i 0.752732 + 1.30377i 0.946494 + 0.322722i \(0.104598\pi\)
−0.193761 + 0.981049i \(0.562069\pi\)
\(480\) −5.21054 + 11.3089i −0.237828 + 0.516177i
\(481\) 17.8413 + 10.3007i 0.813494 + 0.469671i
\(482\) −3.88204 0.750906i −0.176822 0.0342028i
\(483\) −0.234408 1.03506i −0.0106659 0.0470970i
\(484\) −42.2234 16.9695i −1.91924 0.771341i
\(485\) −11.4652 6.61941i −0.520606 0.300572i
\(486\) 7.78978 + 22.5561i 0.353351 + 1.02316i
\(487\) 35.8923 20.7224i 1.62643 0.939022i 0.641289 0.767300i \(-0.278400\pi\)
0.985145 0.171722i \(-0.0549332\pi\)
\(488\) 12.6394 + 24.6387i 0.572159 + 1.11534i
\(489\) 8.42012i 0.380771i
\(490\) −7.05195 + 6.94767i −0.318574 + 0.313864i
\(491\) −25.4339 −1.14782 −0.573908 0.818920i \(-0.694573\pi\)
−0.573908 + 0.818920i \(0.694573\pi\)
\(492\) −11.9273 + 9.35384i −0.537724 + 0.421704i
\(493\) −9.58441 16.6007i −0.431660 0.747658i
\(494\) −4.21980 12.2189i −0.189858 0.549753i
\(495\) −5.35949 + 9.28291i −0.240891 + 0.417236i
\(496\) −11.7800 11.2928i −0.528940 0.507062i
\(497\) −22.7248 + 5.14644i −1.01935 + 0.230849i
\(498\) −10.0320 + 51.8634i −0.449543 + 2.32405i
\(499\) 3.25059 5.63019i 0.145516 0.252042i −0.784049 0.620699i \(-0.786849\pi\)
0.929565 + 0.368657i \(0.120182\pi\)
\(500\) −0.281971 1.98002i −0.0126101 0.0885493i
\(501\) 41.2759 23.8307i 1.84407 1.06468i
\(502\) 17.3926 20.0449i 0.776268 0.894647i
\(503\) −23.4094 −1.04378 −0.521888 0.853014i \(-0.674772\pi\)
−0.521888 + 0.853014i \(0.674772\pi\)
\(504\) −10.5893 + 8.85962i −0.471686 + 0.394639i
\(505\) 2.46883 0.109862
\(506\) −0.981266 + 1.13091i −0.0436226 + 0.0502749i
\(507\) 19.7505 11.4029i 0.877149 0.506422i
\(508\) −5.70656 + 0.812659i −0.253187 + 0.0360559i
\(509\) 8.44031 14.6190i 0.374110 0.647978i −0.616083 0.787681i \(-0.711281\pi\)
0.990193 + 0.139703i \(0.0446148\pi\)
\(510\) 2.58192 13.3481i 0.114330 0.591062i
\(511\) 15.2452 + 16.4861i 0.674406 + 0.729303i
\(512\) 22.3772 + 3.35550i 0.988943 + 0.148294i
\(513\) −2.40400 + 4.16385i −0.106139 + 0.183838i
\(514\) −3.60652 10.4430i −0.159077 0.460622i
\(515\) 0.920346 + 1.59409i 0.0405553 + 0.0702438i
\(516\) −5.72661 7.30214i −0.252100 0.321459i
\(517\) 11.0015 0.483844
\(518\) 13.5525 8.40710i 0.595462 0.369387i
\(519\) 22.8989i 1.00515i
\(520\) −6.23978 12.1636i −0.273633 0.533408i
\(521\) 21.2245 12.2540i 0.929864 0.536857i 0.0430955 0.999071i \(-0.486278\pi\)
0.886769 + 0.462214i \(0.152945\pi\)
\(522\) −3.73827 10.8245i −0.163620 0.473777i
\(523\) −25.2087 14.5543i −1.10230 0.636414i −0.165476 0.986214i \(-0.552916\pi\)
−0.936824 + 0.349800i \(0.886249\pi\)
\(524\) −5.96768 + 14.8487i −0.260699 + 0.648669i
\(525\) 1.72595 5.56203i 0.0753266 0.242747i
\(526\) −8.08027 1.56297i −0.352316 0.0681488i
\(527\) 15.4307 + 8.90893i 0.672173 + 0.388079i
\(528\) 49.6775 + 12.1930i 2.16194 + 0.530632i
\(529\) −11.4834 19.8898i −0.499278 0.864775i
\(530\) 9.14188 10.5360i 0.397098 0.457654i
\(531\) 13.5399i 0.587580i
\(532\) −9.88038 1.58872i −0.428369 0.0688799i
\(533\) 16.6418i 0.720837i
\(534\) −13.8920 12.0538i −0.601166 0.521620i
\(535\) −9.08674 15.7387i −0.392854 0.680443i
\(536\) −34.1793 1.69717i −1.47632 0.0733065i
\(537\) 14.5070 + 8.37563i 0.626024 + 0.361435i
\(538\) 6.49680 33.5872i 0.280097 1.44805i
\(539\) 33.5240 + 23.0225i 1.44398 + 0.991649i
\(540\) −1.89609 + 4.71784i −0.0815948 + 0.203023i
\(541\) −3.98939 2.30327i −0.171517 0.0990254i 0.411784 0.911282i \(-0.364906\pi\)
−0.583301 + 0.812256i \(0.698239\pi\)
\(542\) −20.9532 + 7.23623i −0.900018 + 0.310823i
\(543\) 21.3927 12.3511i 0.918050 0.530036i
\(544\) −24.6021 + 2.26590i −1.05481 + 0.0971497i
\(545\) 3.93204i 0.168430i
\(546\) −1.25927 39.7868i −0.0538919 1.70272i
\(547\) 4.27444 0.182762 0.0913808 0.995816i \(-0.470872\pi\)
0.0913808 + 0.995816i \(0.470872\pi\)
\(548\) −16.0500 + 12.5870i −0.685624 + 0.537692i
\(549\) −9.03171 15.6434i −0.385464 0.667644i
\(550\) −7.76611 + 2.68204i −0.331148 + 0.114363i
\(551\) 4.15022 7.18839i 0.176805 0.306236i
\(552\) 0.615305 0.953206i 0.0261891 0.0405711i
\(553\) 9.55590 30.7948i 0.406358 1.30953i
\(554\) −20.3590 3.93806i −0.864971 0.167312i
\(555\) −4.69103 + 8.12511i −0.199123 + 0.344892i
\(556\) −19.6768 + 2.80214i −0.834484 + 0.118837i
\(557\) −16.1482 + 9.32317i −0.684221 + 0.395035i −0.801443 0.598070i \(-0.795934\pi\)
0.117222 + 0.993106i \(0.462601\pi\)
\(558\) 8.04010 + 6.97624i 0.340364 + 0.295328i
\(559\) 10.1885 0.430926
\(560\) −10.5813 0.190211i −0.447141 0.00803789i
\(561\) −55.8515 −2.35805
\(562\) 16.0672 + 13.9412i 0.677755 + 0.588075i
\(563\) −19.1853 + 11.0766i −0.808565 + 0.466825i −0.846457 0.532457i \(-0.821269\pi\)
0.0378926 + 0.999282i \(0.487936\pi\)
\(564\) −8.25302 + 1.17530i −0.347515 + 0.0494889i
\(565\) 3.58320 6.20629i 0.150746 0.261101i
\(566\) 6.88461 + 1.33169i 0.289382 + 0.0559753i
\(567\) −21.6220 + 19.9945i −0.908039 + 0.839688i
\(568\) −20.9277 13.5090i −0.878106 0.566827i
\(569\) −0.619323 + 1.07270i −0.0259634 + 0.0449699i −0.878715 0.477346i \(-0.841599\pi\)
0.852752 + 0.522316i \(0.174932\pi\)
\(570\) 5.56458 1.92174i 0.233075 0.0804928i
\(571\) 10.3953 + 18.0051i 0.435028 + 0.753490i 0.997298 0.0734633i \(-0.0234052\pi\)
−0.562270 + 0.826954i \(0.690072\pi\)
\(572\) −44.1917 + 34.6568i −1.84775 + 1.44907i
\(573\) −16.9928 −0.709883
\(574\) −11.3553 6.08536i −0.473959 0.253998i
\(575\) 0.182235i 0.00759971i
\(576\) −14.6874 1.46221i −0.611977 0.0609255i
\(577\) −29.9908 + 17.3152i −1.24853 + 0.720842i −0.970817 0.239821i \(-0.922911\pi\)
−0.277717 + 0.960663i \(0.589578\pi\)
\(578\) 2.77374 0.957917i 0.115372 0.0398441i
\(579\) −44.6103 25.7558i −1.85394 1.07037i
\(580\) 3.27338 8.14478i 0.135920 0.338194i
\(581\) −43.7888 + 9.91675i −1.81667 + 0.411416i
\(582\) 7.82637 40.4609i 0.324414 1.67716i
\(583\) −49.6274 28.6524i −2.05536 1.18666i
\(584\) −1.19050 + 23.9754i −0.0492631 + 0.992109i
\(585\) 4.45875 + 7.72278i 0.184347 + 0.319298i
\(586\) −2.74319 2.38021i −0.113320 0.0983256i
\(587\) 22.4911i 0.928306i 0.885755 + 0.464153i \(0.153641\pi\)
−0.885755 + 0.464153i \(0.846359\pi\)
\(588\) −27.6083 13.6895i −1.13855 0.564545i
\(589\) 7.71544i 0.317909i
\(590\) −6.80168 + 7.83892i −0.280021 + 0.322723i
\(591\) −22.4815 38.9392i −0.924767 1.60174i
\(592\) 16.5580 + 4.06405i 0.680531 + 0.167032i
\(593\) −3.70525 2.13923i −0.152156 0.0878474i 0.421989 0.906601i \(-0.361332\pi\)
−0.574145 + 0.818754i \(0.694665\pi\)
\(594\) 20.5079 + 3.96685i 0.841448 + 0.162762i
\(595\) 11.2699 2.55227i 0.462021 0.104633i
\(596\) 11.7604 29.2621i 0.481724 1.19862i
\(597\) −4.19719 2.42325i −0.171780 0.0991771i
\(598\) 0.406617 + 1.17740i 0.0166278 + 0.0481475i
\(599\) −5.50041 + 3.17566i −0.224741 + 0.129754i −0.608143 0.793827i \(-0.708085\pi\)
0.383403 + 0.923581i \(0.374752\pi\)
\(600\) 5.53941 2.84166i 0.226145 0.116010i
\(601\) 3.72971i 0.152138i −0.997103 0.0760691i \(-0.975763\pi\)
0.997103 0.0760691i \(-0.0242369\pi\)
\(602\) 3.72558 6.95192i 0.151843 0.283339i
\(603\) 22.3229 0.909059
\(604\) 7.46994 + 9.52510i 0.303948 + 0.387571i
\(605\) 11.3764 + 19.7046i 0.462518 + 0.801105i
\(606\) 2.50870 + 7.26418i 0.101909 + 0.295087i
\(607\) 9.66175 16.7346i 0.392158 0.679238i −0.600576 0.799568i \(-0.705062\pi\)
0.992734 + 0.120330i \(0.0383952\pi\)
\(608\) −6.17630 8.73532i −0.250482 0.354264i
\(609\) 18.7661 17.3535i 0.760440 0.703199i
\(610\) 2.62946 13.5938i 0.106464 0.550397i
\(611\) 4.57626 7.92631i 0.185136 0.320664i
\(612\) 15.9551 2.27214i 0.644948 0.0918458i
\(613\) 26.3430 15.2092i 1.06399 0.614292i 0.137453 0.990508i \(-0.456108\pi\)
0.926532 + 0.376216i \(0.122775\pi\)
\(614\) 13.3858 15.4271i 0.540207 0.622587i
\(615\) 7.57883 0.305608
\(616\) 7.48803 + 42.8263i 0.301701 + 1.72552i
\(617\) 9.32522 0.375419 0.187710 0.982225i \(-0.439894\pi\)
0.187710 + 0.982225i \(0.439894\pi\)
\(618\) −3.75516 + 4.32781i −0.151055 + 0.174090i
\(619\) −9.29185 + 5.36465i −0.373471 + 0.215624i −0.674974 0.737842i \(-0.735845\pi\)
0.301503 + 0.953465i \(0.402512\pi\)
\(620\) 1.15034 + 8.07781i 0.0461989 + 0.324413i
\(621\) 0.231647 0.401225i 0.00929569 0.0161006i
\(622\) −4.44066 + 22.9574i −0.178054 + 0.920508i
\(623\) 4.63296 14.9301i 0.185616 0.598163i
\(624\) 29.4490 30.7197i 1.17891 1.22977i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 1.17177 + 3.39297i 0.0468333 + 0.135610i
\(627\) −12.0923 20.9445i −0.482921 0.836444i
\(628\) −32.1282 + 25.1961i −1.28205 + 1.00543i
\(629\) −18.6159 −0.742264
\(630\) 6.89993 0.218386i 0.274900 0.00870071i
\(631\) 7.84644i 0.312362i 0.987728 + 0.156181i \(0.0499183\pi\)
−0.987728 + 0.156181i \(0.950082\pi\)
\(632\) 30.6695 15.7331i 1.21997 0.625830i
\(633\) −55.1595 + 31.8464i −2.19239 + 1.26578i
\(634\) 7.91235 + 22.9110i 0.314240 + 0.909912i
\(635\) 2.49594 + 1.44103i 0.0990484 + 0.0571856i
\(636\) 40.2901 + 16.1925i 1.59761 + 0.642076i
\(637\) 30.5321 14.5767i 1.20972 0.577548i
\(638\) −35.4044 6.84830i −1.40167 0.271127i
\(639\) 14.0715 + 8.12420i 0.556661 + 0.321388i
\(640\) −7.76878 8.22472i −0.307088 0.325111i
\(641\) 6.79977 + 11.7775i 0.268575 + 0.465185i 0.968494 0.249037i \(-0.0801141\pi\)
−0.699919 + 0.714222i \(0.746781\pi\)
\(642\) 37.0754 42.7292i 1.46325 1.68639i
\(643\) 5.68857i 0.224335i 0.993689 + 0.112168i \(0.0357794\pi\)
−0.993689 + 0.112168i \(0.964221\pi\)
\(644\) 0.952066 + 0.153088i 0.0375166 + 0.00603252i
\(645\) 4.63992i 0.182697i
\(646\) 8.82287 + 7.65544i 0.347131 + 0.301199i
\(647\) 0.225415 + 0.390431i 0.00886200 + 0.0153494i 0.870422 0.492306i \(-0.163846\pi\)
−0.861560 + 0.507655i \(0.830512\pi\)
\(648\) −31.4444 1.56137i −1.23525 0.0613364i
\(649\) 36.9234 + 21.3178i 1.44937 + 0.836795i
\(650\) −1.29810 + 6.71095i −0.0509158 + 0.263225i
\(651\) −7.04127 + 22.6911i −0.275969 + 0.889336i
\(652\) 7.09884 + 2.85301i 0.278012 + 0.111733i
\(653\) 3.69894 + 2.13559i 0.144751 + 0.0835720i 0.570626 0.821210i \(-0.306700\pi\)
−0.425875 + 0.904782i \(0.640034\pi\)
\(654\) −11.5695 + 3.99554i −0.452402 + 0.156238i
\(655\) 6.92953 4.00076i 0.270759 0.156323i
\(656\) −3.84468 13.2251i −0.150109 0.516352i
\(657\) 15.6586i 0.610901i
\(658\) −3.73500 6.02092i −0.145605 0.234720i
\(659\) 15.5436 0.605493 0.302746 0.953071i \(-0.402097\pi\)
0.302746 + 0.953071i \(0.402097\pi\)
\(660\) −15.7830 20.1253i −0.614353 0.783377i
\(661\) 14.4897 + 25.0969i 0.563583 + 0.976155i 0.997180 + 0.0750479i \(0.0239110\pi\)
−0.433597 + 0.901107i \(0.642756\pi\)
\(662\) −31.8218 + 10.9897i −1.23679 + 0.427127i
\(663\) −23.2324 + 40.2398i −0.902273 + 1.56278i
\(664\) −40.3259 26.0308i −1.56495 1.01019i
\(665\) 3.39715 + 3.67367i 0.131736 + 0.142459i
\(666\) −10.9191 2.11209i −0.423107 0.0818420i
\(667\) −0.399912 + 0.692668i −0.0154846 + 0.0268202i
\(668\) 6.10554 + 42.8736i 0.236230 + 1.65883i
\(669\) 21.0707 12.1652i 0.814641 0.470333i
\(670\) 12.9239 + 11.2138i 0.499293 + 0.433227i
\(671\) −56.8797 −2.19582
\(672\) −10.1925 31.3272i −0.393184 1.20847i
\(673\) 32.3539 1.24715 0.623576 0.781763i \(-0.285679\pi\)
0.623576 + 0.781763i \(0.285679\pi\)
\(674\) 1.31080 + 1.13736i 0.0504902 + 0.0438094i
\(675\) 2.20170 1.27115i 0.0847433 0.0489266i
\(676\) 2.92149 + 20.5149i 0.112365 + 0.789035i
\(677\) 22.4527 38.8892i 0.862927 1.49463i −0.00616405 0.999981i \(-0.501962\pi\)
0.869091 0.494652i \(-0.164705\pi\)
\(678\) 21.9022 + 4.23655i 0.841148 + 0.162704i
\(679\) 34.1616 7.73649i 1.31100 0.296899i
\(680\) 10.3786 + 6.69953i 0.398003 + 0.256915i
\(681\) 9.04722 15.6703i 0.346690 0.600485i
\(682\) 31.6830 10.9418i 1.21321 0.418983i
\(683\) 5.62256 + 9.73856i 0.215141 + 0.372636i 0.953316 0.301974i \(-0.0976454\pi\)
−0.738175 + 0.674609i \(0.764312\pi\)
\(684\) 4.30649 + 5.49130i 0.164663 + 0.209965i
\(685\) 10.1985 0.389665
\(686\) 1.21844 26.1632i 0.0465202 0.998917i
\(687\) 22.1754i 0.846043i
\(688\) 8.09666 2.35379i 0.308682 0.0897375i
\(689\) −41.2868 + 23.8369i −1.57290 + 0.908115i
\(690\) −0.536199 + 0.185177i −0.0204128 + 0.00704958i
\(691\) −8.53812 4.92949i −0.324805 0.187527i 0.328727 0.944425i \(-0.393380\pi\)
−0.653533 + 0.756898i \(0.726714\pi\)
\(692\) −19.3056 7.75889i −0.733889 0.294949i
\(693\) −6.26394 27.6593i −0.237948 1.05069i
\(694\) 8.31689 42.9968i 0.315705 1.63213i
\(695\) 8.60629 + 4.96884i 0.326455 + 0.188479i
\(696\) 27.2911 + 1.35514i 1.03447 + 0.0513663i
\(697\) 7.51896 + 13.0232i 0.284801 + 0.493289i
\(698\) 28.4962 + 24.7256i 1.07860 + 0.935879i
\(699\) 16.2249i 0.613681i
\(700\) 4.10443 + 3.33971i 0.155133 + 0.126229i
\(701\) 6.00307i 0.226733i −0.993553 0.113366i \(-0.963837\pi\)
0.993553 0.113366i \(-0.0361634\pi\)
\(702\) 11.3886 13.1254i 0.429837 0.495386i
\(703\) −4.03050 6.98103i −0.152013 0.263294i
\(704\) −27.1121 + 37.7508i −1.02182 + 1.42279i
\(705\) 3.60972 + 2.08407i 0.135950 + 0.0784907i
\(706\) −19.4800 3.76802i −0.733138 0.141811i
\(707\) −4.79573 + 4.43474i −0.180362 + 0.166785i
\(708\) −29.9764 12.0475i −1.12658 0.452772i
\(709\) 10.2323 + 5.90764i 0.384283 + 0.221866i 0.679680 0.733508i \(-0.262119\pi\)
−0.295397 + 0.955375i \(0.595452\pi\)
\(710\) 4.06558 + 11.7723i 0.152578 + 0.441806i
\(711\) −19.4724 + 11.2424i −0.730272 + 0.421623i
\(712\) 14.8694 7.62785i 0.557255 0.285866i
\(713\) 0.743454i 0.0278426i
\(714\) 18.9616 + 30.5666i 0.709619 + 1.14393i
\(715\) 28.0802 1.05014
\(716\) −11.9768 + 9.39265i −0.447593 + 0.351020i
\(717\) −23.0607 39.9423i −0.861217 1.49167i
\(718\) −5.60592 16.2325i −0.209211 0.605791i
\(719\) −3.06796 + 5.31386i −0.114415 + 0.198173i −0.917546 0.397630i \(-0.869833\pi\)
0.803130 + 0.595803i \(0.203166\pi\)
\(720\) 5.32748 + 5.10713i 0.198543 + 0.190331i
\(721\) −4.65122 1.44332i −0.173221 0.0537520i
\(722\) 4.14231 21.4150i 0.154161 0.796983i
\(723\) −3.07708 + 5.32966i −0.114438 + 0.198212i
\(724\) 3.16441 + 22.2208i 0.117604 + 0.825828i
\(725\) −3.80097 + 2.19449i −0.141164 + 0.0815013i
\(726\) −46.4177 + 53.4963i −1.72272 + 1.98543i
\(727\) 14.8986 0.552558 0.276279 0.961077i \(-0.410899\pi\)
0.276279 + 0.961077i \(0.410899\pi\)
\(728\) 33.9702 + 12.4194i 1.25902 + 0.460294i
\(729\) 3.74887 0.138847
\(730\) 7.86603 9.06558i 0.291135 0.335532i
\(731\) −7.97308 + 4.60326i −0.294895 + 0.170258i
\(732\) 42.6697 6.07651i 1.57712 0.224594i
\(733\) −23.7602 + 41.1539i −0.877604 + 1.52006i −0.0236421 + 0.999720i \(0.507526\pi\)
−0.853962 + 0.520335i \(0.825807\pi\)
\(734\) 3.09173 15.9837i 0.114118 0.589968i
\(735\) 6.63835 + 13.9046i 0.244859 + 0.512879i
\(736\) 0.595144 + 0.841728i 0.0219373 + 0.0310265i
\(737\) 35.1462 60.8750i 1.29463 2.24236i
\(738\) 2.93267 + 8.49183i 0.107953 + 0.312589i
\(739\) 1.95274 + 3.38225i 0.0718328 + 0.124418i 0.899705 0.436499i \(-0.143782\pi\)
−0.827872 + 0.560917i \(0.810449\pi\)
\(740\) −5.26064 6.70797i −0.193385 0.246590i
\(741\) −20.1201 −0.739130
\(742\) 1.16751 + 36.8877i 0.0428608 + 1.35419i
\(743\) 48.0392i 1.76239i 0.472755 + 0.881194i \(0.343259\pi\)
−0.472755 + 0.881194i \(0.656741\pi\)
\(744\) −22.5989 + 11.5930i −0.828515 + 0.425019i
\(745\) −13.6559 + 7.88422i −0.500312 + 0.288855i
\(746\) −10.8340 31.3710i −0.396662 1.14857i
\(747\) 27.1146 + 15.6546i 0.992073 + 0.572773i
\(748\) 18.9243 47.0873i 0.691942 1.72168i
\(749\) 45.9223 + 14.2501i 1.67797 + 0.520688i
\(750\) −3.05623 0.591168i −0.111598 0.0215864i
\(751\) 0.139857 + 0.0807464i 0.00510345 + 0.00294648i 0.502550 0.864548i \(-0.332395\pi\)
−0.497446 + 0.867495i \(0.665729\pi\)
\(752\) 1.80552 7.35619i 0.0658407 0.268253i
\(753\) −20.6529 35.7718i −0.752633 1.30360i
\(754\) −19.6611 + 22.6594i −0.716017 + 0.825207i
\(755\) 6.05243i 0.220270i
\(756\) −4.79143 12.5704i −0.174263 0.457180i
\(757\) 17.0175i 0.618513i 0.950979 + 0.309257i \(0.100080\pi\)
−0.950979 + 0.309257i \(0.899920\pi\)
\(758\) −16.6264 14.4264i −0.603897 0.523990i
\(759\) 1.16521 + 2.01820i 0.0422944 + 0.0732560i
\(760\) −0.265283 + 5.34254i −0.00962284 + 0.193794i
\(761\) 23.5345 + 13.5876i 0.853125 + 0.492552i 0.861704 0.507411i \(-0.169398\pi\)
−0.00857924 + 0.999963i \(0.502731\pi\)
\(762\) −1.70379 + 8.80825i −0.0617216 + 0.319089i
\(763\) −7.06309 7.63803i −0.255701 0.276515i
\(764\) 5.75771 14.3263i 0.208307 0.518306i
\(765\) −6.97848 4.02903i −0.252308 0.145670i
\(766\) 19.9427 6.88724i 0.720558 0.248846i
\(767\) 30.7179 17.7350i 1.10916 0.640374i
\(768\) 16.3058 31.2161i 0.588386 1.12641i
\(769\) 16.2516i 0.586049i −0.956105 0.293025i \(-0.905338\pi\)
0.956105 0.293025i \(-0.0946618\pi\)
\(770\) 10.2680 19.1601i 0.370034 0.690481i
\(771\) −17.1959 −0.619296
\(772\) 36.8296 28.8832i 1.32553 1.03953i
\(773\) 2.07903 + 3.60098i 0.0747774 + 0.129518i 0.900989 0.433841i \(-0.142842\pi\)
−0.826212 + 0.563359i \(0.809509\pi\)
\(774\) −5.19887