Properties

Label 171.2.g.c.106.11
Level $171$
Weight $2$
Character 171.106
Analytic conductor $1.365$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 106.11
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.616796 + 1.06832i) q^{2} +(0.506944 + 1.65620i) q^{3} +(0.239126 - 0.414178i) q^{4} -0.551543 q^{5} +(-1.45668 + 1.56312i) q^{6} +(-1.62156 + 2.80862i) q^{7} +3.05715 q^{8} +(-2.48602 + 1.67920i) q^{9} +O(q^{10})\) \(q+(0.616796 + 1.06832i) q^{2} +(0.506944 + 1.65620i) q^{3} +(0.239126 - 0.414178i) q^{4} -0.551543 q^{5} +(-1.45668 + 1.56312i) q^{6} +(-1.62156 + 2.80862i) q^{7} +3.05715 q^{8} +(-2.48602 + 1.67920i) q^{9} +(-0.340189 - 0.589225i) q^{10} +(2.68677 - 4.65363i) q^{11} +(0.807186 + 0.186076i) q^{12} +(-1.76195 + 3.05178i) q^{13} -4.00069 q^{14} +(-0.279601 - 0.913467i) q^{15} +(1.40739 + 2.43766i) q^{16} +(2.60168 - 4.50624i) q^{17} +(-3.32729 - 1.62014i) q^{18} +(0.164107 - 4.35581i) q^{19} +(-0.131888 + 0.228437i) q^{20} +(-5.47369 - 1.26182i) q^{21} +6.62876 q^{22} +(-1.49233 + 2.58480i) q^{23} +(1.54980 + 5.06326i) q^{24} -4.69580 q^{25} -4.34704 q^{26} +(-4.04137 - 3.26609i) q^{27} +(0.775514 + 1.34323i) q^{28} +5.49841 q^{29} +(0.803420 - 0.862127i) q^{30} +(-2.54567 - 4.40923i) q^{31} +(1.32101 - 2.28806i) q^{32} +(9.06939 + 2.09071i) q^{33} +6.41881 q^{34} +(0.894360 - 1.54908i) q^{35} +(0.101019 + 1.43119i) q^{36} +9.20826 q^{37} +(4.75463 - 2.51133i) q^{38} +(-5.94757 - 1.37106i) q^{39} -1.68615 q^{40} +1.71003 q^{41} +(-2.02812 - 6.62595i) q^{42} +(1.79608 + 3.11091i) q^{43} +(-1.28495 - 2.22561i) q^{44} +(1.37114 - 0.926153i) q^{45} -3.68186 q^{46} -10.6354 q^{47} +(-3.32380 + 3.56667i) q^{48} +(-1.75891 - 3.04653i) q^{49} +(-2.89635 - 5.01663i) q^{50} +(8.78214 + 2.02450i) q^{51} +(0.842653 + 1.45952i) q^{52} +(0.562013 + 0.973435i) q^{53} +(0.996529 - 6.33199i) q^{54} +(-1.48187 + 2.56668i) q^{55} +(-4.95735 + 8.58639i) q^{56} +(7.29730 - 1.93635i) q^{57} +(3.39140 + 5.87407i) q^{58} -7.77857 q^{59} +(-0.445198 - 0.102629i) q^{60} -11.3745 q^{61} +(3.14032 - 5.43919i) q^{62} +(-0.685027 - 9.70521i) q^{63} +8.88872 q^{64} +(0.971789 - 1.68319i) q^{65} +(3.36041 + 10.9786i) q^{66} +(-1.18630 + 2.05473i) q^{67} +(-1.24426 - 2.15512i) q^{68} +(-5.03748 - 1.16126i) q^{69} +2.20655 q^{70} +(-0.507763 + 0.879471i) q^{71} +(-7.60013 + 5.13358i) q^{72} +(-5.98562 + 10.3674i) q^{73} +(5.67962 + 9.83738i) q^{74} +(-2.38051 - 7.77720i) q^{75} +(-1.76484 - 1.10956i) q^{76} +(8.71353 + 15.0923i) q^{77} +(-2.20371 - 7.19958i) q^{78} +(0.568802 + 0.985193i) q^{79} +(-0.776234 - 1.34448i) q^{80} +(3.36055 - 8.34905i) q^{81} +(1.05474 + 1.82686i) q^{82} +(-1.14372 + 1.98099i) q^{83} +(-1.83152 + 1.96535i) q^{84} +(-1.43494 + 2.48538i) q^{85} +(-2.21563 + 3.83759i) q^{86} +(2.78738 + 9.10648i) q^{87} +(8.21387 - 14.2268i) q^{88} +(1.12141 + 1.94234i) q^{89} +(1.83515 + 0.893577i) q^{90} +(-5.71420 - 9.89729i) q^{91} +(0.713711 + 1.23618i) q^{92} +(6.01206 - 6.45137i) q^{93} +(-6.55987 - 11.3620i) q^{94} +(-0.0905122 + 2.40242i) q^{95} +(4.45917 + 1.02795i) q^{96} +(-4.09100 - 7.08582i) q^{97} +(2.16978 - 3.75817i) q^{98} +(1.13502 + 16.0806i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9} - 8 q^{10} + 7 q^{11} - 3 q^{12} - 4 q^{13} - 2 q^{14} + q^{15} - 11 q^{16} - 7 q^{17} + 6 q^{18} + 7 q^{19} - 3 q^{20} + 11 q^{21} + 16 q^{22} + 5 q^{23} + 27 q^{24} + 18 q^{25} - 4 q^{26} - 5 q^{27} - 10 q^{28} - 20 q^{29} - 5 q^{30} - 10 q^{31} + 17 q^{32} + 34 q^{33} + 26 q^{34} - 3 q^{35} - 16 q^{36} + 2 q^{37} + 38 q^{38} - 24 q^{40} - 12 q^{41} + 25 q^{42} + 7 q^{43} + 20 q^{44} - 35 q^{45} + 18 q^{47} - 33 q^{48} - 13 q^{49} + q^{50} - 28 q^{51} + 19 q^{52} + 16 q^{53} + 35 q^{54} + 15 q^{55} - 6 q^{56} + 6 q^{57} - 74 q^{59} + 50 q^{60} + 24 q^{61} + 54 q^{62} - 30 q^{63} - 64 q^{64} + 54 q^{65} + 4 q^{66} - 11 q^{67} - 2 q^{68} + 3 q^{69} - 48 q^{70} + 9 q^{71} - 10 q^{73} + 6 q^{74} - 76 q^{75} + 29 q^{76} + 46 q^{77} - 82 q^{78} - 8 q^{79} - 24 q^{80} + 26 q^{81} + 7 q^{82} + 3 q^{83} + 12 q^{84} - 27 q^{85} + 17 q^{86} - 9 q^{87} + 9 q^{88} + 30 q^{89} - 74 q^{90} - q^{91} - 17 q^{92} - 24 q^{93} - 18 q^{94} - 6 q^{95} - 5 q^{96} + 18 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.616796 + 1.06832i 0.436140 + 0.755418i 0.997388 0.0722305i \(-0.0230117\pi\)
−0.561247 + 0.827648i \(0.689678\pi\)
\(3\) 0.506944 + 1.65620i 0.292684 + 0.956209i
\(4\) 0.239126 0.414178i 0.119563 0.207089i
\(5\) −0.551543 −0.246658 −0.123329 0.992366i \(-0.539357\pi\)
−0.123329 + 0.992366i \(0.539357\pi\)
\(6\) −1.45668 + 1.56312i −0.594686 + 0.638140i
\(7\) −1.62156 + 2.80862i −0.612892 + 1.06156i 0.377858 + 0.925863i \(0.376661\pi\)
−0.990750 + 0.135697i \(0.956673\pi\)
\(8\) 3.05715 1.08087
\(9\) −2.48602 + 1.67920i −0.828672 + 0.559734i
\(10\) −0.340189 0.589225i −0.107577 0.186329i
\(11\) 2.68677 4.65363i 0.810093 1.40312i −0.102706 0.994712i \(-0.532750\pi\)
0.912799 0.408410i \(-0.133917\pi\)
\(12\) 0.807186 + 0.186076i 0.233015 + 0.0537155i
\(13\) −1.76195 + 3.05178i −0.488676 + 0.846411i −0.999915 0.0130271i \(-0.995853\pi\)
0.511239 + 0.859438i \(0.329187\pi\)
\(14\) −4.00069 −1.06923
\(15\) −0.279601 0.913467i −0.0721927 0.235856i
\(16\) 1.40739 + 2.43766i 0.351846 + 0.609416i
\(17\) 2.60168 4.50624i 0.630999 1.09292i −0.356349 0.934353i \(-0.615978\pi\)
0.987348 0.158570i \(-0.0506882\pi\)
\(18\) −3.32729 1.62014i −0.784251 0.381871i
\(19\) 0.164107 4.35581i 0.0376488 0.999291i
\(20\) −0.131888 + 0.228437i −0.0294911 + 0.0510801i
\(21\) −5.47369 1.26182i −1.19446 0.275351i
\(22\) 6.62876 1.41326
\(23\) −1.49233 + 2.58480i −0.311173 + 0.538967i −0.978617 0.205693i \(-0.934055\pi\)
0.667444 + 0.744660i \(0.267388\pi\)
\(24\) 1.54980 + 5.06326i 0.316352 + 1.03353i
\(25\) −4.69580 −0.939160
\(26\) −4.34704 −0.852525
\(27\) −4.04137 3.26609i −0.777762 0.628559i
\(28\) 0.775514 + 1.34323i 0.146558 + 0.253847i
\(29\) 5.49841 1.02103 0.510515 0.859869i \(-0.329455\pi\)
0.510515 + 0.859869i \(0.329455\pi\)
\(30\) 0.803420 0.862127i 0.146684 0.157402i
\(31\) −2.54567 4.40923i −0.457216 0.791921i 0.541597 0.840638i \(-0.317820\pi\)
−0.998813 + 0.0487176i \(0.984487\pi\)
\(32\) 1.32101 2.28806i 0.233524 0.404475i
\(33\) 9.06939 + 2.09071i 1.57878 + 0.363947i
\(34\) 6.41881 1.10082
\(35\) 0.894360 1.54908i 0.151174 0.261842i
\(36\) 0.101019 + 1.43119i 0.0168364 + 0.238532i
\(37\) 9.20826 1.51383 0.756914 0.653514i \(-0.226706\pi\)
0.756914 + 0.653514i \(0.226706\pi\)
\(38\) 4.75463 2.51133i 0.771302 0.407391i
\(39\) −5.94757 1.37106i −0.952374 0.219545i
\(40\) −1.68615 −0.266604
\(41\) 1.71003 0.267061 0.133531 0.991045i \(-0.457369\pi\)
0.133531 + 0.991045i \(0.457369\pi\)
\(42\) −2.02812 6.62595i −0.312946 1.02241i
\(43\) 1.79608 + 3.11091i 0.273900 + 0.474409i 0.969857 0.243675i \(-0.0783529\pi\)
−0.695957 + 0.718083i \(0.745020\pi\)
\(44\) −1.28495 2.22561i −0.193714 0.335523i
\(45\) 1.37114 0.926153i 0.204398 0.138063i
\(46\) −3.68186 −0.542860
\(47\) −10.6354 −1.55133 −0.775666 0.631143i \(-0.782586\pi\)
−0.775666 + 0.631143i \(0.782586\pi\)
\(48\) −3.32380 + 3.56667i −0.479749 + 0.514805i
\(49\) −1.75891 3.04653i −0.251273 0.435218i
\(50\) −2.89635 5.01663i −0.409606 0.709458i
\(51\) 8.78214 + 2.02450i 1.22975 + 0.283486i
\(52\) 0.842653 + 1.45952i 0.116855 + 0.202399i
\(53\) 0.562013 + 0.973435i 0.0771985 + 0.133712i 0.902040 0.431652i \(-0.142069\pi\)
−0.824842 + 0.565364i \(0.808736\pi\)
\(54\) 0.996529 6.33199i 0.135610 0.861675i
\(55\) −1.48187 + 2.56668i −0.199815 + 0.346091i
\(56\) −4.95735 + 8.58639i −0.662454 + 1.14740i
\(57\) 7.29730 1.93635i 0.966550 0.256476i
\(58\) 3.39140 + 5.87407i 0.445312 + 0.771303i
\(59\) −7.77857 −1.01268 −0.506342 0.862333i \(-0.669003\pi\)
−0.506342 + 0.862333i \(0.669003\pi\)
\(60\) −0.445198 0.102629i −0.0574748 0.0132493i
\(61\) −11.3745 −1.45635 −0.728176 0.685391i \(-0.759631\pi\)
−0.728176 + 0.685391i \(0.759631\pi\)
\(62\) 3.14032 5.43919i 0.398820 0.690777i
\(63\) −0.685027 9.70521i −0.0863052 1.22274i
\(64\) 8.88872 1.11109
\(65\) 0.971789 1.68319i 0.120536 0.208774i
\(66\) 3.36041 + 10.9786i 0.413638 + 1.35137i
\(67\) −1.18630 + 2.05473i −0.144929 + 0.251025i −0.929347 0.369209i \(-0.879629\pi\)
0.784417 + 0.620233i \(0.212962\pi\)
\(68\) −1.24426 2.15512i −0.150888 0.261346i
\(69\) −5.03748 1.16126i −0.606441 0.139799i
\(70\) 2.20655 0.263733
\(71\) −0.507763 + 0.879471i −0.0602604 + 0.104374i −0.894582 0.446904i \(-0.852526\pi\)
0.834321 + 0.551278i \(0.185860\pi\)
\(72\) −7.60013 + 5.13358i −0.895683 + 0.604998i
\(73\) −5.98562 + 10.3674i −0.700564 + 1.21341i 0.267704 + 0.963501i \(0.413735\pi\)
−0.968269 + 0.249912i \(0.919598\pi\)
\(74\) 5.67962 + 9.83738i 0.660242 + 1.14357i
\(75\) −2.38051 7.77720i −0.274877 0.898033i
\(76\) −1.76484 1.10956i −0.202441 0.127275i
\(77\) 8.71353 + 15.0923i 0.992999 + 1.71992i
\(78\) −2.20371 7.19958i −0.249521 0.815192i
\(79\) 0.568802 + 0.985193i 0.0639952 + 0.110843i 0.896248 0.443554i \(-0.146282\pi\)
−0.832253 + 0.554397i \(0.812949\pi\)
\(80\) −0.776234 1.34448i −0.0867856 0.150317i
\(81\) 3.36055 8.34905i 0.373395 0.927673i
\(82\) 1.05474 + 1.82686i 0.116476 + 0.201743i
\(83\) −1.14372 + 1.98099i −0.125540 + 0.217441i −0.921944 0.387324i \(-0.873400\pi\)
0.796404 + 0.604765i \(0.206733\pi\)
\(84\) −1.83152 + 1.96535i −0.199835 + 0.214437i
\(85\) −1.43494 + 2.48538i −0.155641 + 0.269578i
\(86\) −2.21563 + 3.83759i −0.238918 + 0.413818i
\(87\) 2.78738 + 9.10648i 0.298839 + 0.976318i
\(88\) 8.21387 14.2268i 0.875601 1.51659i
\(89\) 1.12141 + 1.94234i 0.118870 + 0.205888i 0.919320 0.393511i \(-0.128740\pi\)
−0.800450 + 0.599399i \(0.795406\pi\)
\(90\) 1.83515 + 0.893577i 0.193441 + 0.0941913i
\(91\) −5.71420 9.89729i −0.599011 1.03752i
\(92\) 0.713711 + 1.23618i 0.0744095 + 0.128881i
\(93\) 6.01206 6.45137i 0.623422 0.668976i
\(94\) −6.55987 11.3620i −0.676599 1.17190i
\(95\) −0.0905122 + 2.40242i −0.00928635 + 0.246483i
\(96\) 4.45917 + 1.02795i 0.455112 + 0.104914i
\(97\) −4.09100 7.08582i −0.415378 0.719456i 0.580090 0.814552i \(-0.303017\pi\)
−0.995468 + 0.0950967i \(0.969684\pi\)
\(98\) 2.16978 3.75817i 0.219181 0.379633i
\(99\) 1.13502 + 16.0806i 0.114074 + 1.61616i
\(100\) −1.12289 + 1.94490i −0.112289 + 0.194490i
\(101\) 5.43430 0.540733 0.270366 0.962758i \(-0.412855\pi\)
0.270366 + 0.962758i \(0.412855\pi\)
\(102\) 3.25398 + 10.6309i 0.322192 + 1.05261i
\(103\) 6.93864 + 12.0181i 0.683684 + 1.18418i 0.973848 + 0.227199i \(0.0729567\pi\)
−0.290164 + 0.956977i \(0.593710\pi\)
\(104\) −5.38653 + 9.32975i −0.528193 + 0.914857i
\(105\) 3.01898 + 0.695947i 0.294622 + 0.0679175i
\(106\) −0.693295 + 1.20082i −0.0673387 + 0.116634i
\(107\) −15.8009 −1.52753 −0.763765 0.645494i \(-0.776652\pi\)
−0.763765 + 0.645494i \(0.776652\pi\)
\(108\) −2.31914 + 0.892842i −0.223159 + 0.0859138i
\(109\) −3.79701 + 6.57662i −0.363688 + 0.629926i −0.988565 0.150798i \(-0.951816\pi\)
0.624877 + 0.780723i \(0.285149\pi\)
\(110\) −3.65605 −0.348590
\(111\) 4.66807 + 15.2507i 0.443074 + 1.44754i
\(112\) −9.12864 −0.862576
\(113\) −2.26572 3.92433i −0.213141 0.369170i 0.739555 0.673096i \(-0.235036\pi\)
−0.952696 + 0.303926i \(0.901703\pi\)
\(114\) 6.56959 + 6.60152i 0.615299 + 0.618289i
\(115\) 0.823086 1.42563i 0.0767531 0.132940i
\(116\) 1.31481 2.27732i 0.122077 0.211444i
\(117\) −0.744332 10.5454i −0.0688135 0.974926i
\(118\) −4.79779 8.31001i −0.441672 0.764999i
\(119\) 8.43755 + 14.6143i 0.773469 + 1.33969i
\(120\) −0.854783 2.79261i −0.0780307 0.254929i
\(121\) −8.93750 15.4802i −0.812500 1.40729i
\(122\) −7.01572 12.1516i −0.635174 1.10015i
\(123\) 0.866887 + 2.83215i 0.0781646 + 0.255366i
\(124\) −2.43494 −0.218664
\(125\) 5.34765 0.478308
\(126\) 9.94577 6.71796i 0.886040 0.598484i
\(127\) −5.24840 9.09049i −0.465720 0.806651i 0.533514 0.845792i \(-0.320871\pi\)
−0.999234 + 0.0391405i \(0.987538\pi\)
\(128\) 2.84050 + 4.91990i 0.251067 + 0.434861i
\(129\) −4.24178 + 4.55173i −0.373468 + 0.400758i
\(130\) 2.39758 0.210282
\(131\) −0.563451 −0.0492289 −0.0246145 0.999697i \(-0.507836\pi\)
−0.0246145 + 0.999697i \(0.507836\pi\)
\(132\) 3.03465 3.25640i 0.264133 0.283433i
\(133\) 11.9677 + 7.52412i 1.03773 + 0.652424i
\(134\) −2.92681 −0.252838
\(135\) 2.22899 + 1.80139i 0.191841 + 0.155039i
\(136\) 7.95372 13.7762i 0.682026 1.18130i
\(137\) 17.2333 1.47234 0.736169 0.676798i \(-0.236633\pi\)
0.736169 + 0.676798i \(0.236633\pi\)
\(138\) −1.86649 6.09790i −0.158887 0.519088i
\(139\) −0.726237 + 1.25788i −0.0615986 + 0.106692i −0.895180 0.445705i \(-0.852953\pi\)
0.833582 + 0.552396i \(0.186287\pi\)
\(140\) −0.427729 0.740849i −0.0361497 0.0626132i
\(141\) −5.39155 17.6144i −0.454050 1.48340i
\(142\) −1.25274 −0.105128
\(143\) 9.46790 + 16.3989i 0.791745 + 1.37134i
\(144\) −7.59212 3.69679i −0.632676 0.308065i
\(145\) −3.03261 −0.251845
\(146\) −14.7676 −1.22218
\(147\) 4.15400 4.45754i 0.342616 0.367651i
\(148\) 2.20193 3.81386i 0.180998 0.313497i
\(149\) 4.69012 0.384230 0.192115 0.981372i \(-0.438465\pi\)
0.192115 + 0.981372i \(0.438465\pi\)
\(150\) 6.84026 7.34009i 0.558505 0.599316i
\(151\) 0.368885 0.638928i 0.0300195 0.0519953i −0.850625 0.525772i \(-0.823776\pi\)
0.880645 + 0.473777i \(0.157110\pi\)
\(152\) 0.501700 13.3164i 0.0406933 1.08010i
\(153\) 1.09908 + 15.5713i 0.0888550 + 1.25887i
\(154\) −10.7489 + 18.6177i −0.866174 + 1.50026i
\(155\) 1.40405 + 2.43188i 0.112776 + 0.195333i
\(156\) −1.99008 + 2.13550i −0.159334 + 0.170977i
\(157\) 5.41446 0.432121 0.216060 0.976380i \(-0.430679\pi\)
0.216060 + 0.976380i \(0.430679\pi\)
\(158\) −0.701669 + 1.21533i −0.0558218 + 0.0966862i
\(159\) −1.32730 + 1.42428i −0.105262 + 0.112953i
\(160\) −0.728594 + 1.26196i −0.0576005 + 0.0997669i
\(161\) −4.83981 8.38280i −0.381431 0.660657i
\(162\) 10.9922 1.55951i 0.863633 0.122527i
\(163\) −10.0435 −0.786669 −0.393334 0.919395i \(-0.628679\pi\)
−0.393334 + 0.919395i \(0.628679\pi\)
\(164\) 0.408912 0.708256i 0.0319306 0.0553055i
\(165\) −5.00216 1.15312i −0.389418 0.0897702i
\(166\) −2.82177 −0.219012
\(167\) 7.17245 12.4230i 0.555021 0.961324i −0.442881 0.896580i \(-0.646044\pi\)
0.997902 0.0647437i \(-0.0206230\pi\)
\(168\) −16.7339 3.85757i −1.29105 0.297618i
\(169\) 0.291096 + 0.504193i 0.0223920 + 0.0387841i
\(170\) −3.54025 −0.271525
\(171\) 6.90631 + 11.1042i 0.528139 + 0.849158i
\(172\) 1.71796 0.130993
\(173\) −2.04739 3.54619i −0.155660 0.269612i 0.777639 0.628711i \(-0.216417\pi\)
−0.933299 + 0.359100i \(0.883084\pi\)
\(174\) −8.00941 + 8.59466i −0.607192 + 0.651560i
\(175\) 7.61452 13.1887i 0.575604 0.996975i
\(176\) 15.1253 1.14011
\(177\) −3.94330 12.8829i −0.296396 0.968337i
\(178\) −1.38337 + 2.39606i −0.103688 + 0.179592i
\(179\) 1.96134 0.146597 0.0732986 0.997310i \(-0.476647\pi\)
0.0732986 + 0.997310i \(0.476647\pi\)
\(180\) −0.0557161 0.789365i −0.00415283 0.0588358i
\(181\) 0.625824 + 1.08396i 0.0465172 + 0.0805701i 0.888347 0.459174i \(-0.151854\pi\)
−0.841829 + 0.539744i \(0.818521\pi\)
\(182\) 7.04899 12.2092i 0.522506 0.905007i
\(183\) −5.76621 18.8384i −0.426251 1.39258i
\(184\) −4.56229 + 7.90211i −0.336336 + 0.582551i
\(185\) −5.07875 −0.373397
\(186\) 10.6004 + 2.44364i 0.777256 + 0.179176i
\(187\) −13.9802 24.2145i −1.02234 1.77074i
\(188\) −2.54320 + 4.40495i −0.185482 + 0.321264i
\(189\) 15.7265 6.05454i 1.14394 0.440403i
\(190\) −2.62238 + 1.38510i −0.190247 + 0.100486i
\(191\) 8.35232 14.4666i 0.604353 1.04677i −0.387801 0.921743i \(-0.626765\pi\)
0.992153 0.125026i \(-0.0399016\pi\)
\(192\) 4.50608 + 14.7215i 0.325198 + 1.06243i
\(193\) 24.7409 1.78089 0.890445 0.455091i \(-0.150393\pi\)
0.890445 + 0.455091i \(0.150393\pi\)
\(194\) 5.04662 8.74100i 0.362326 0.627567i
\(195\) 3.28034 + 0.756198i 0.234910 + 0.0541525i
\(196\) −1.68241 −0.120172
\(197\) 3.02872 0.215787 0.107894 0.994162i \(-0.465589\pi\)
0.107894 + 0.994162i \(0.465589\pi\)
\(198\) −16.4792 + 11.1310i −1.17113 + 0.791048i
\(199\) 8.82614 + 15.2873i 0.625668 + 1.08369i 0.988411 + 0.151800i \(0.0485069\pi\)
−0.362743 + 0.931889i \(0.618160\pi\)
\(200\) −14.3558 −1.01511
\(201\) −4.00443 0.923117i −0.282451 0.0651117i
\(202\) 3.35185 + 5.80558i 0.235835 + 0.408479i
\(203\) −8.91600 + 15.4430i −0.625781 + 1.08388i
\(204\) 2.93854 3.15326i 0.205739 0.220773i
\(205\) −0.943153 −0.0658727
\(206\) −8.55944 + 14.8254i −0.596365 + 1.03293i
\(207\) −0.630435 8.93177i −0.0438182 0.620801i
\(208\) −9.91895 −0.687755
\(209\) −19.8294 12.4668i −1.37163 0.862344i
\(210\) 1.11860 + 3.65450i 0.0771905 + 0.252184i
\(211\) −8.12869 −0.559602 −0.279801 0.960058i \(-0.590269\pi\)
−0.279801 + 0.960058i \(0.590269\pi\)
\(212\) 0.537568 0.0369203
\(213\) −1.71399 0.395116i −0.117441 0.0270729i
\(214\) −9.74593 16.8804i −0.666218 1.15392i
\(215\) −0.990617 1.71580i −0.0675595 0.117017i
\(216\) −12.3551 9.98492i −0.840657 0.679387i
\(217\) 16.5118 1.12090
\(218\) −9.36793 −0.634476
\(219\) −20.2049 4.65772i −1.36532 0.314739i
\(220\) 0.708707 + 1.22752i 0.0477810 + 0.0827592i
\(221\) 9.16802 + 15.8795i 0.616708 + 1.06817i
\(222\) −13.4135 + 14.3936i −0.900252 + 0.966035i
\(223\) 2.90390 + 5.02970i 0.194459 + 0.336813i 0.946723 0.322049i \(-0.104371\pi\)
−0.752264 + 0.658862i \(0.771038\pi\)
\(224\) 4.28420 + 7.42045i 0.286250 + 0.495800i
\(225\) 11.6738 7.88520i 0.778256 0.525680i
\(226\) 2.79497 4.84103i 0.185918 0.322020i
\(227\) −5.88816 + 10.1986i −0.390811 + 0.676905i −0.992557 0.121783i \(-0.961139\pi\)
0.601746 + 0.798688i \(0.294472\pi\)
\(228\) 0.942976 3.48541i 0.0624501 0.230827i
\(229\) 12.6223 + 21.8625i 0.834106 + 1.44471i 0.894756 + 0.446555i \(0.147349\pi\)
−0.0606506 + 0.998159i \(0.519318\pi\)
\(230\) 2.03070 0.133901
\(231\) −20.5786 + 22.0823i −1.35397 + 1.45291i
\(232\) 16.8095 1.10360
\(233\) −9.04140 + 15.6602i −0.592322 + 1.02593i 0.401597 + 0.915816i \(0.368455\pi\)
−0.993919 + 0.110115i \(0.964878\pi\)
\(234\) 10.8068 7.29957i 0.706464 0.477188i
\(235\) 5.86588 0.382648
\(236\) −1.86006 + 3.22171i −0.121079 + 0.209716i
\(237\) −1.34333 + 1.44149i −0.0872586 + 0.0936347i
\(238\) −10.4085 + 18.0280i −0.674682 + 1.16858i
\(239\) −4.15871 7.20309i −0.269004 0.465929i 0.699601 0.714534i \(-0.253361\pi\)
−0.968605 + 0.248605i \(0.920028\pi\)
\(240\) 1.83322 1.96717i 0.118334 0.126981i
\(241\) 19.7866 1.27456 0.637282 0.770630i \(-0.280058\pi\)
0.637282 + 0.770630i \(0.280058\pi\)
\(242\) 11.0252 19.0962i 0.708728 1.22755i
\(243\) 15.5313 + 1.33326i 0.996336 + 0.0855286i
\(244\) −2.71993 + 4.71106i −0.174126 + 0.301594i
\(245\) 0.970117 + 1.68029i 0.0619785 + 0.107350i
\(246\) −2.49096 + 2.67297i −0.158818 + 0.170423i
\(247\) 13.0038 + 8.17552i 0.827413 + 0.520196i
\(248\) −7.78249 13.4797i −0.494189 0.855960i
\(249\) −3.86072 0.889989i −0.244663 0.0564007i
\(250\) 3.29841 + 5.71301i 0.208610 + 0.361323i
\(251\) 5.61049 + 9.71765i 0.354131 + 0.613373i 0.986969 0.160912i \(-0.0514434\pi\)
−0.632838 + 0.774284i \(0.718110\pi\)
\(252\) −4.18350 2.03704i −0.263535 0.128322i
\(253\) 8.01912 + 13.8895i 0.504158 + 0.873227i
\(254\) 6.47438 11.2140i 0.406239 0.703626i
\(255\) −4.84373 1.11660i −0.303326 0.0699240i
\(256\) 5.38470 9.32657i 0.336544 0.582911i
\(257\) 15.3868 26.6507i 0.959800 1.66242i 0.236820 0.971554i \(-0.423895\pi\)
0.722980 0.690869i \(-0.242772\pi\)
\(258\) −7.47903 1.72410i −0.465624 0.107338i
\(259\) −14.9317 + 25.8625i −0.927814 + 1.60702i
\(260\) −0.464760 0.804987i −0.0288232 0.0499232i
\(261\) −13.6691 + 9.23295i −0.846098 + 0.571505i
\(262\) −0.347534 0.601947i −0.0214707 0.0371884i
\(263\) −11.0033 19.0582i −0.678491 1.17518i −0.975435 0.220286i \(-0.929301\pi\)
0.296944 0.954895i \(-0.404033\pi\)
\(264\) 27.7265 + 6.39163i 1.70645 + 0.393378i
\(265\) −0.309974 0.536892i −0.0190416 0.0329810i
\(266\) −0.656541 + 17.4262i −0.0402551 + 1.06847i
\(267\) −2.64842 + 2.84195i −0.162081 + 0.173924i
\(268\) 0.567348 + 0.982676i 0.0346563 + 0.0600265i
\(269\) 4.69970 8.14012i 0.286546 0.496312i −0.686437 0.727189i \(-0.740826\pi\)
0.972983 + 0.230877i \(0.0741596\pi\)
\(270\) −0.549629 + 3.49237i −0.0334493 + 0.212539i
\(271\) 5.10799 8.84729i 0.310288 0.537435i −0.668137 0.744039i \(-0.732908\pi\)
0.978425 + 0.206604i \(0.0662412\pi\)
\(272\) 14.6463 0.888059
\(273\) 13.4951 14.4812i 0.816763 0.876445i
\(274\) 10.6294 + 18.4107i 0.642146 + 1.11223i
\(275\) −12.6166 + 21.8525i −0.760807 + 1.31776i
\(276\) −1.68556 + 1.80872i −0.101459 + 0.108872i
\(277\) −11.8449 + 20.5159i −0.711688 + 1.23268i 0.252535 + 0.967588i \(0.418736\pi\)
−0.964223 + 0.265092i \(0.914598\pi\)
\(278\) −1.79176 −0.107463
\(279\) 13.7326 + 6.68672i 0.822147 + 0.400323i
\(280\) 2.73419 4.73576i 0.163399 0.283016i
\(281\) −4.26690 −0.254542 −0.127271 0.991868i \(-0.540622\pi\)
−0.127271 + 0.991868i \(0.540622\pi\)
\(282\) 15.4923 16.6244i 0.922556 0.989968i
\(283\) −21.8728 −1.30020 −0.650102 0.759847i \(-0.725274\pi\)
−0.650102 + 0.759847i \(0.725274\pi\)
\(284\) 0.242838 + 0.420608i 0.0144098 + 0.0249585i
\(285\) −4.02477 + 1.06798i −0.238407 + 0.0632619i
\(286\) −11.6795 + 20.2295i −0.690624 + 1.19620i
\(287\) −2.77291 + 4.80282i −0.163680 + 0.283502i
\(288\) 0.558060 + 7.90640i 0.0328840 + 0.465889i
\(289\) −5.03744 8.72510i −0.296320 0.513241i
\(290\) −1.87050 3.23980i −0.109840 0.190248i
\(291\) 9.66164 10.3676i 0.566376 0.607761i
\(292\) 2.86263 + 4.95823i 0.167523 + 0.290158i
\(293\) 0.0198641 + 0.0344056i 0.00116047 + 0.00201000i 0.866605 0.498995i \(-0.166297\pi\)
−0.865445 + 0.501005i \(0.832964\pi\)
\(294\) 7.32425 + 1.68842i 0.427159 + 0.0984705i
\(295\) 4.29022 0.249786
\(296\) 28.1510 1.63625
\(297\) −26.0574 + 10.0318i −1.51200 + 0.582104i
\(298\) 2.89285 + 5.01056i 0.167578 + 0.290254i
\(299\) −5.25882 9.10854i −0.304125 0.526760i
\(300\) −3.79039 0.873776i −0.218838 0.0504475i
\(301\) −11.6498 −0.671485
\(302\) 0.910108 0.0523708
\(303\) 2.75488 + 9.00030i 0.158264 + 0.517054i
\(304\) 10.8490 5.73027i 0.622231 0.328653i
\(305\) 6.27351 0.359220
\(306\) −15.9573 + 10.7785i −0.912217 + 0.616165i
\(307\) 7.73434 13.3963i 0.441422 0.764566i −0.556373 0.830933i \(-0.687807\pi\)
0.997795 + 0.0663669i \(0.0211408\pi\)
\(308\) 8.33452 0.474903
\(309\) −16.3869 + 17.5843i −0.932216 + 1.00033i
\(310\) −1.73202 + 2.99995i −0.0983721 + 0.170385i
\(311\) 6.04377 + 10.4681i 0.342711 + 0.593593i 0.984935 0.172924i \(-0.0553215\pi\)
−0.642224 + 0.766517i \(0.721988\pi\)
\(312\) −18.1826 4.19153i −1.02939 0.237299i
\(313\) 7.67487 0.433809 0.216905 0.976193i \(-0.430404\pi\)
0.216905 + 0.976193i \(0.430404\pi\)
\(314\) 3.33962 + 5.78439i 0.188465 + 0.326432i
\(315\) 0.377822 + 5.35284i 0.0212878 + 0.301599i
\(316\) 0.544061 0.0306058
\(317\) −9.52242 −0.534832 −0.267416 0.963581i \(-0.586170\pi\)
−0.267416 + 0.963581i \(0.586170\pi\)
\(318\) −2.34027 0.539488i −0.131236 0.0302530i
\(319\) 14.7730 25.5876i 0.827128 1.43263i
\(320\) −4.90251 −0.274059
\(321\) −8.01017 26.1695i −0.447084 1.46064i
\(322\) 5.97035 10.3410i 0.332715 0.576279i
\(323\) −19.2013 12.0719i −1.06839 0.671699i
\(324\) −2.65440 3.38834i −0.147467 0.188241i
\(325\) 8.27374 14.3305i 0.458945 0.794916i
\(326\) −6.19480 10.7297i −0.343098 0.594263i
\(327\) −12.8171 2.95465i −0.708787 0.163392i
\(328\) 5.22781 0.288657
\(329\) 17.2459 29.8708i 0.950800 1.64683i
\(330\) −1.85341 6.05516i −0.102027 0.333325i
\(331\) 4.84054 8.38406i 0.266060 0.460830i −0.701781 0.712393i \(-0.747611\pi\)
0.967841 + 0.251563i \(0.0809447\pi\)
\(332\) 0.546987 + 0.947410i 0.0300198 + 0.0519959i
\(333\) −22.8919 + 15.4625i −1.25447 + 0.847342i
\(334\) 17.6957 0.968268
\(335\) 0.654294 1.13327i 0.0357479 0.0619171i
\(336\) −4.62771 15.1189i −0.252462 0.824803i
\(337\) −30.3679 −1.65425 −0.827123 0.562021i \(-0.810024\pi\)
−0.827123 + 0.562021i \(0.810024\pi\)
\(338\) −0.359094 + 0.621969i −0.0195321 + 0.0338306i
\(339\) 5.35090 5.74190i 0.290621 0.311857i
\(340\) 0.686261 + 1.18864i 0.0372177 + 0.0644630i
\(341\) −27.3585 −1.48155
\(342\) −7.60305 + 14.2272i −0.411126 + 0.769318i
\(343\) −11.2931 −0.609770
\(344\) 5.49090 + 9.51051i 0.296049 + 0.512772i
\(345\) 2.77838 + 0.640485i 0.149583 + 0.0344825i
\(346\) 2.52564 4.37454i 0.135780 0.235177i
\(347\) −8.24041 −0.442369 −0.221184 0.975232i \(-0.570992\pi\)
−0.221184 + 0.975232i \(0.570992\pi\)
\(348\) 4.43824 + 1.02312i 0.237915 + 0.0548451i
\(349\) 0.121550 0.210531i 0.00650642 0.0112695i −0.862754 0.505624i \(-0.831262\pi\)
0.869260 + 0.494355i \(0.164596\pi\)
\(350\) 18.7864 1.00418
\(351\) 17.0880 6.57871i 0.912093 0.351145i
\(352\) −7.09851 12.2950i −0.378352 0.655325i
\(353\) 5.37981 9.31810i 0.286338 0.495952i −0.686595 0.727040i \(-0.740895\pi\)
0.972933 + 0.231088i \(0.0742286\pi\)
\(354\) 11.3309 12.1588i 0.602228 0.646234i
\(355\) 0.280053 0.485066i 0.0148637 0.0257446i
\(356\) 1.07264 0.0568495
\(357\) −19.9268 + 21.3829i −1.05464 + 1.13170i
\(358\) 1.20974 + 2.09534i 0.0639370 + 0.110742i
\(359\) −8.34473 + 14.4535i −0.440418 + 0.762827i −0.997720 0.0674831i \(-0.978503\pi\)
0.557302 + 0.830310i \(0.311836\pi\)
\(360\) 4.19180 2.83139i 0.220927 0.149227i
\(361\) −18.9461 1.42964i −0.997165 0.0752441i
\(362\) −0.772012 + 1.33716i −0.0405760 + 0.0702798i
\(363\) 21.1075 22.6499i 1.10786 1.18881i
\(364\) −5.46565 −0.286478
\(365\) 3.30133 5.71807i 0.172799 0.299297i
\(366\) 16.5689 17.7796i 0.866071 0.929356i
\(367\) −15.1697 −0.791853 −0.395927 0.918282i \(-0.629577\pi\)
−0.395927 + 0.918282i \(0.629577\pi\)
\(368\) −8.40115 −0.437940
\(369\) −4.25115 + 2.87148i −0.221306 + 0.149483i
\(370\) −3.13255 5.42574i −0.162854 0.282071i
\(371\) −3.64535 −0.189257
\(372\) −1.23438 4.03276i −0.0639995 0.209089i
\(373\) −15.4009 26.6751i −0.797427 1.38118i −0.921287 0.388884i \(-0.872861\pi\)
0.123860 0.992300i \(-0.460473\pi\)
\(374\) 17.2459 29.8708i 0.891764 1.54458i
\(375\) 2.71096 + 8.85680i 0.139993 + 0.457363i
\(376\) −32.5140 −1.67678
\(377\) −9.68790 + 16.7799i −0.498952 + 0.864211i
\(378\) 16.1683 + 13.0666i 0.831605 + 0.672072i
\(379\) 22.2036 1.14052 0.570260 0.821464i \(-0.306842\pi\)
0.570260 + 0.821464i \(0.306842\pi\)
\(380\) 0.973384 + 0.611968i 0.0499336 + 0.0313933i
\(381\) 12.3951 13.3008i 0.635018 0.681420i
\(382\) 20.6067 1.05433
\(383\) 3.10744 0.158783 0.0793913 0.996844i \(-0.474702\pi\)
0.0793913 + 0.996844i \(0.474702\pi\)
\(384\) −6.70837 + 7.19856i −0.342335 + 0.367350i
\(385\) −4.80589 8.32404i −0.244931 0.424232i
\(386\) 15.2601 + 26.4312i 0.776718 + 1.34532i
\(387\) −9.68894 4.71778i −0.492516 0.239818i
\(388\) −3.91305 −0.198655
\(389\) −1.09399 −0.0554674 −0.0277337 0.999615i \(-0.508829\pi\)
−0.0277337 + 0.999615i \(0.508829\pi\)
\(390\) 1.21544 + 3.97088i 0.0615461 + 0.201073i
\(391\) 7.76513 + 13.4496i 0.392700 + 0.680176i
\(392\) −5.37726 9.31369i −0.271593 0.470413i
\(393\) −0.285638 0.933189i −0.0144085 0.0470732i
\(394\) 1.86810 + 3.23565i 0.0941137 + 0.163010i
\(395\) −0.313719 0.543377i −0.0157849 0.0273402i
\(396\) 6.93166 + 3.37519i 0.348329 + 0.169610i
\(397\) −16.6030 + 28.7572i −0.833279 + 1.44328i 0.0621458 + 0.998067i \(0.480206\pi\)
−0.895424 + 0.445214i \(0.853128\pi\)
\(398\) −10.8878 + 18.8583i −0.545758 + 0.945281i
\(399\) −6.39451 + 23.6353i −0.320126 + 1.18324i
\(400\) −6.60880 11.4468i −0.330440 0.572339i
\(401\) 10.7068 0.534671 0.267336 0.963603i \(-0.413857\pi\)
0.267336 + 0.963603i \(0.413857\pi\)
\(402\) −1.48373 4.84739i −0.0740016 0.241766i
\(403\) 17.9413 0.893721
\(404\) 1.29948 2.25077i 0.0646516 0.111980i
\(405\) −1.85349 + 4.60486i −0.0921006 + 0.228817i
\(406\) −21.9974 −1.09171
\(407\) 24.7405 42.8518i 1.22634 2.12409i
\(408\) 26.8483 + 6.18919i 1.32919 + 0.306411i
\(409\) 5.61657 9.72818i 0.277721 0.481028i −0.693097 0.720845i \(-0.743754\pi\)
0.970818 + 0.239817i \(0.0770875\pi\)
\(410\) −0.581733 1.00759i −0.0287297 0.0497614i
\(411\) 8.73630 + 28.5418i 0.430930 + 1.40786i
\(412\) 6.63683 0.326973
\(413\) 12.6134 21.8471i 0.620666 1.07502i
\(414\) 9.15316 6.18259i 0.449853 0.303858i
\(415\) 0.630812 1.09260i 0.0309654 0.0536336i
\(416\) 4.65510 + 8.06287i 0.228235 + 0.395315i
\(417\) −2.45146 0.565122i −0.120049 0.0276741i
\(418\) 1.08783 28.8736i 0.0532074 1.41225i
\(419\) −3.31446 5.74081i −0.161922 0.280457i 0.773636 0.633630i \(-0.218436\pi\)
−0.935558 + 0.353173i \(0.885103\pi\)
\(420\) 1.01016 1.08398i 0.0492908 0.0528926i
\(421\) 7.08505 + 12.2717i 0.345304 + 0.598085i 0.985409 0.170203i \(-0.0544423\pi\)
−0.640105 + 0.768288i \(0.721109\pi\)
\(422\) −5.01374 8.68406i −0.244065 0.422733i
\(423\) 26.4398 17.8590i 1.28555 0.868334i
\(424\) 1.71816 + 2.97594i 0.0834412 + 0.144524i
\(425\) −12.2170 + 21.1604i −0.592609 + 1.02643i
\(426\) −0.635071 2.07480i −0.0307693 0.100524i
\(427\) 18.4444 31.9466i 0.892586 1.54600i
\(428\) −3.77840 + 6.54439i −0.182636 + 0.316335i
\(429\) −22.3602 + 23.9941i −1.07956 + 1.15844i
\(430\) 1.22202 2.11660i 0.0589309 0.102071i
\(431\) 6.14500 + 10.6434i 0.295994 + 0.512677i 0.975216 0.221256i \(-0.0710158\pi\)
−0.679222 + 0.733933i \(0.737682\pi\)
\(432\) 2.27385 14.4481i 0.109401 0.695137i
\(433\) 6.40711 + 11.0974i 0.307906 + 0.533309i 0.977904 0.209054i \(-0.0670384\pi\)
−0.669998 + 0.742363i \(0.733705\pi\)
\(434\) 10.1844 + 17.6399i 0.488868 + 0.846744i
\(435\) −1.53736 5.02262i −0.0737109 0.240816i
\(436\) 1.81593 + 3.14528i 0.0869672 + 0.150632i
\(437\) 11.0140 + 6.92450i 0.526870 + 0.331244i
\(438\) −7.48636 24.4582i −0.357712 1.16866i
\(439\) −3.27238 5.66793i −0.156182 0.270516i 0.777307 0.629122i \(-0.216585\pi\)
−0.933489 + 0.358606i \(0.883252\pi\)
\(440\) −4.53030 + 7.84671i −0.215974 + 0.374077i
\(441\) 9.48843 + 4.62014i 0.451830 + 0.220007i
\(442\) −11.3096 + 19.5888i −0.537943 + 0.931744i
\(443\) 4.62851 0.219907 0.109954 0.993937i \(-0.464930\pi\)
0.109954 + 0.993937i \(0.464930\pi\)
\(444\) 7.43278 + 1.71344i 0.352744 + 0.0813161i
\(445\) −0.618507 1.07129i −0.0293201 0.0507838i
\(446\) −3.58222 + 6.20459i −0.169623 + 0.293796i
\(447\) 2.37763 + 7.76780i 0.112458 + 0.367404i
\(448\) −14.4136 + 24.9651i −0.680978 + 1.17949i
\(449\) 16.6475 0.785642 0.392821 0.919615i \(-0.371499\pi\)
0.392821 + 0.919615i \(0.371499\pi\)
\(450\) 15.6243 + 7.60785i 0.736537 + 0.358638i
\(451\) 4.59445 7.95783i 0.216344 0.374719i
\(452\) −2.16716 −0.101935
\(453\) 1.24520 + 0.287048i 0.0585046 + 0.0134867i
\(454\) −14.5272 −0.681794
\(455\) 3.15163 + 5.45878i 0.147751 + 0.255912i
\(456\) 22.3089 5.91973i 1.04471 0.277217i
\(457\) 19.2727 33.3814i 0.901541 1.56151i 0.0760467 0.997104i \(-0.475770\pi\)
0.825494 0.564411i \(-0.190896\pi\)
\(458\) −15.5708 + 26.9694i −0.727575 + 1.26020i
\(459\) −25.2321 + 9.71407i −1.17773 + 0.453414i
\(460\) −0.393642 0.681808i −0.0183537 0.0317895i
\(461\) 5.11154 + 8.85345i 0.238068 + 0.412346i 0.960160 0.279451i \(-0.0901524\pi\)
−0.722092 + 0.691797i \(0.756819\pi\)
\(462\) −36.2838 8.36429i −1.68807 0.389142i
\(463\) 4.51183 + 7.81472i 0.209683 + 0.363181i 0.951615 0.307294i \(-0.0994236\pi\)
−0.741932 + 0.670475i \(0.766090\pi\)
\(464\) 7.73839 + 13.4033i 0.359246 + 0.622232i
\(465\) −3.31591 + 3.55821i −0.153772 + 0.165008i
\(466\) −22.3068 −1.03334
\(467\) −31.0166 −1.43528 −0.717639 0.696416i \(-0.754777\pi\)
−0.717639 + 0.696416i \(0.754777\pi\)
\(468\) −4.54568 2.21340i −0.210124 0.102314i
\(469\) −3.84730 6.66372i −0.177652 0.307702i
\(470\) 3.61805 + 6.26665i 0.166888 + 0.289059i
\(471\) 2.74483 + 8.96745i 0.126475 + 0.413198i
\(472\) −23.7803 −1.09457
\(473\) 19.3027 0.887538
\(474\) −2.36853 0.546004i −0.108790 0.0250788i
\(475\) −0.770614 + 20.4540i −0.0353582 + 0.938494i
\(476\) 8.07054 0.369913
\(477\) −3.03177 1.47624i −0.138815 0.0675925i
\(478\) 5.13015 8.88568i 0.234647 0.406421i
\(479\) −35.1079 −1.60412 −0.802060 0.597243i \(-0.796263\pi\)
−0.802060 + 0.597243i \(0.796263\pi\)
\(480\) −2.45942 0.566956i −0.112257 0.0258779i
\(481\) −16.2245 + 28.1016i −0.739771 + 1.28132i
\(482\) 12.2043 + 21.1384i 0.555889 + 0.962829i
\(483\) 11.4301 12.2653i 0.520088 0.558092i
\(484\) −8.54875 −0.388580
\(485\) 2.25636 + 3.90813i 0.102456 + 0.177459i
\(486\) 8.15531 + 17.4148i 0.369933 + 0.789952i
\(487\) 23.8848 1.08232 0.541161 0.840919i \(-0.317985\pi\)
0.541161 + 0.840919i \(0.317985\pi\)
\(488\) −34.7735 −1.57412
\(489\) −5.09150 16.6341i −0.230245 0.752220i
\(490\) −1.19673 + 2.07279i −0.0540626 + 0.0936392i
\(491\) 35.8676 1.61868 0.809342 0.587338i \(-0.199824\pi\)
0.809342 + 0.587338i \(0.199824\pi\)
\(492\) 1.38031 + 0.318195i 0.0622292 + 0.0143453i
\(493\) 14.3051 24.7771i 0.644269 1.11591i
\(494\) −0.713381 + 18.9349i −0.0320965 + 0.851921i
\(495\) −0.626015 8.86916i −0.0281373 0.398639i
\(496\) 7.16548 12.4110i 0.321739 0.557269i
\(497\) −1.64674 2.85223i −0.0738662 0.127940i
\(498\) −1.43048 4.67343i −0.0641014 0.209421i
\(499\) −27.8941 −1.24871 −0.624355 0.781141i \(-0.714638\pi\)
−0.624355 + 0.781141i \(0.714638\pi\)
\(500\) 1.27876 2.21488i 0.0571880 0.0990525i
\(501\) 24.2111 + 5.58125i 1.08167 + 0.249352i
\(502\) −6.92105 + 11.9876i −0.308902 + 0.535033i
\(503\) −19.7196 34.1554i −0.879254 1.52291i −0.852161 0.523280i \(-0.824708\pi\)
−0.0270935 0.999633i \(-0.508625\pi\)
\(504\) −2.09423 29.6703i −0.0932844 1.32162i
\(505\) −2.99725 −0.133376
\(506\) −9.89232 + 17.1340i −0.439767 + 0.761699i
\(507\) −0.687477 + 0.737712i −0.0305319 + 0.0327629i
\(508\) −5.02011 −0.222731
\(509\) −9.56460 + 16.5664i −0.423943 + 0.734292i −0.996321 0.0856985i \(-0.972688\pi\)
0.572378 + 0.819990i \(0.306021\pi\)
\(510\) −1.79471 5.86337i −0.0794710 0.259635i
\(511\) −19.4121 33.6227i −0.858741 1.48738i
\(512\) 24.6471 1.08926
\(513\) −14.8897 + 17.0675i −0.657395 + 0.753546i
\(514\) 37.9620 1.67443
\(515\) −3.82696 6.62848i −0.168636 0.292086i
\(516\) 0.870909 + 2.84529i 0.0383396 + 0.125257i
\(517\) −28.5749 + 49.4932i −1.25672 + 2.17671i
\(518\) −36.8394 −1.61863
\(519\) 4.83529 5.18861i 0.212246 0.227755i
\(520\) 2.97090 5.14576i 0.130283 0.225656i
\(521\) −33.0169 −1.44650 −0.723248 0.690589i \(-0.757352\pi\)
−0.723248 + 0.690589i \(0.757352\pi\)
\(522\) −18.2948 8.90819i −0.800743 0.389901i
\(523\) 6.43545 + 11.1465i 0.281403 + 0.487404i 0.971730 0.236093i \(-0.0758670\pi\)
−0.690328 + 0.723497i \(0.742534\pi\)
\(524\) −0.134736 + 0.233369i −0.00588596 + 0.0101948i
\(525\) 25.7034 + 5.92525i 1.12179 + 0.258599i
\(526\) 13.5736 23.5101i 0.591835 1.02509i
\(527\) −26.4920 −1.15401
\(528\) 7.66768 + 25.0506i 0.333693 + 1.09019i
\(529\) 7.04589 + 12.2038i 0.306343 + 0.530601i
\(530\) 0.382382 0.662305i 0.0166096 0.0287687i
\(531\) 19.3376 13.0618i 0.839182 0.566834i
\(532\) 5.97812 3.15756i 0.259184 0.136897i
\(533\) −3.01297 + 5.21862i −0.130506 + 0.226044i
\(534\) −4.66965 1.07647i −0.202075 0.0465833i
\(535\) 8.71488 0.376777
\(536\) −3.62669 + 6.28161i −0.156649 + 0.271324i
\(537\) 0.994287 + 3.24837i 0.0429067 + 0.140178i
\(538\) 11.5950 0.499897
\(539\) −18.9032 −0.814219
\(540\) 1.27910 0.492441i 0.0550439 0.0211913i
\(541\) −1.61584 2.79872i −0.0694705 0.120326i 0.829198 0.558955i \(-0.188798\pi\)
−0.898668 + 0.438629i \(0.855464\pi\)
\(542\) 12.6023 0.541317
\(543\) −1.47800 + 1.58600i −0.0634270 + 0.0680617i
\(544\) −6.87369 11.9056i −0.294707 0.510447i
\(545\) 2.09422 3.62729i 0.0897064 0.155376i
\(546\) 23.7944 + 5.48518i 1.01830 + 0.234744i
\(547\) 29.4688 1.26000 0.629998 0.776597i \(-0.283056\pi\)
0.629998 + 0.776597i \(0.283056\pi\)
\(548\) 4.12092 7.13764i 0.176037 0.304905i
\(549\) 28.2771 19.1000i 1.20684 0.815170i
\(550\) −31.1273 −1.32727
\(551\) 0.902329 23.9500i 0.0384405 1.02031i
\(552\) −15.4003 3.55015i −0.655481 0.151104i
\(553\) −3.68938 −0.156889
\(554\) −29.2234 −1.24158
\(555\) −2.57464 8.41144i −0.109287 0.357046i
\(556\) 0.347324 + 0.601583i 0.0147298 + 0.0255128i
\(557\) 13.2513 + 22.9520i 0.561477 + 0.972506i 0.997368 + 0.0725066i \(0.0230998\pi\)
−0.435891 + 0.899999i \(0.643567\pi\)
\(558\) 1.32662 + 18.7951i 0.0561604 + 0.795661i
\(559\) −12.6584 −0.535393
\(560\) 5.03484 0.212761
\(561\) 33.0169 35.4295i 1.39397 1.49583i
\(562\) −2.63180 4.55842i −0.111016 0.192285i
\(563\) 9.60939 + 16.6440i 0.404988 + 0.701459i 0.994320 0.106432i \(-0.0339425\pi\)
−0.589332 + 0.807891i \(0.700609\pi\)
\(564\) −8.58475 1.97899i −0.361483 0.0833306i
\(565\) 1.24964 + 2.16444i 0.0525727 + 0.0910586i
\(566\) −13.4911 23.3672i −0.567072 0.982197i
\(567\) 18.0000 + 22.9770i 0.755930 + 0.964944i
\(568\) −1.55231 + 2.68867i −0.0651334 + 0.112814i
\(569\) −22.9341 + 39.7230i −0.961446 + 1.66527i −0.242570 + 0.970134i \(0.577991\pi\)
−0.718875 + 0.695139i \(0.755343\pi\)
\(570\) −3.62341 3.64102i −0.151768 0.152506i
\(571\) −8.69243 15.0557i −0.363767 0.630063i 0.624810 0.780776i \(-0.285176\pi\)
−0.988577 + 0.150713i \(0.951843\pi\)
\(572\) 9.05607 0.378654
\(573\) 28.1939 + 6.49937i 1.17782 + 0.271515i
\(574\) −6.84128 −0.285549
\(575\) 7.00770 12.1377i 0.292241 0.506176i
\(576\) −22.0975 + 14.9260i −0.920729 + 0.621915i
\(577\) 11.7739 0.490155 0.245078 0.969503i \(-0.421187\pi\)
0.245078 + 0.969503i \(0.421187\pi\)
\(578\) 6.21415 10.7632i 0.258474 0.447691i
\(579\) 12.5422 + 40.9760i 0.521238 + 1.70290i
\(580\) −0.725176 + 1.25604i −0.0301113 + 0.0521543i
\(581\) −3.70923 6.42458i −0.153885 0.266536i
\(582\) 17.0352 + 3.92703i 0.706133 + 0.162781i
\(583\) 6.04001 0.250152
\(584\) −18.2990 + 31.6947i −0.757216 + 1.31154i
\(585\) 0.410531 + 5.81626i 0.0169734 + 0.240473i
\(586\) −0.0245042 + 0.0424425i −0.00101226 + 0.00175328i
\(587\) 6.94342 + 12.0264i 0.286586 + 0.496381i 0.972992 0.230837i \(-0.0741463\pi\)
−0.686407 + 0.727218i \(0.740813\pi\)
\(588\) −0.852886 2.78641i −0.0351724 0.114909i
\(589\) −19.6235 + 10.3649i −0.808573 + 0.427077i
\(590\) 2.64619 + 4.58333i 0.108942 + 0.188693i
\(591\) 1.53539 + 5.01618i 0.0631576 + 0.206338i
\(592\) 12.9596 + 22.4466i 0.532635 + 0.922551i
\(593\) 7.23610 + 12.5333i 0.297151 + 0.514681i 0.975483 0.220075i \(-0.0706302\pi\)
−0.678332 + 0.734756i \(0.737297\pi\)
\(594\) −26.7893 21.6501i −1.09918 0.888315i
\(595\) −4.65367 8.06040i −0.190782 0.330444i
\(596\) 1.12153 1.94255i 0.0459397 0.0795698i
\(597\) −20.8445 + 22.3677i −0.853110 + 0.915448i
\(598\) 6.48723 11.2362i 0.265283 0.459483i
\(599\) 6.04520 10.4706i 0.247000 0.427817i −0.715692 0.698416i \(-0.753889\pi\)
0.962692 + 0.270599i \(0.0872218\pi\)
\(600\) −7.27757 23.7761i −0.297105 0.970654i
\(601\) −14.0237 + 24.2898i −0.572040 + 0.990803i 0.424316 + 0.905514i \(0.360515\pi\)
−0.996356 + 0.0852884i \(0.972819\pi\)
\(602\) −7.18556 12.4458i −0.292862 0.507251i
\(603\) −0.501150 7.10011i −0.0204084 0.289139i
\(604\) −0.176420 0.305569i −0.00717843 0.0124334i
\(605\) 4.92942 + 8.53800i 0.200409 + 0.347119i
\(606\) −7.91601 + 8.49445i −0.321566 + 0.345063i
\(607\) 10.3136 + 17.8637i 0.418616 + 0.725063i 0.995800 0.0915501i \(-0.0291822\pi\)
−0.577185 + 0.816613i \(0.695849\pi\)
\(608\) −9.74956 6.12956i −0.395397 0.248586i
\(609\) −30.0966 6.93799i −1.21958 0.281142i
\(610\) 3.86947 + 6.70212i 0.156670 + 0.271361i
\(611\) 18.7390 32.4569i 0.758099 1.31307i
\(612\) 6.71212 + 3.26829i 0.271321 + 0.132113i
\(613\) −6.15798 + 10.6659i −0.248718 + 0.430793i −0.963170 0.268891i \(-0.913343\pi\)
0.714452 + 0.699684i \(0.246676\pi\)
\(614\) 19.0820 0.770088
\(615\) −0.478126 1.56205i −0.0192799 0.0629881i
\(616\) 26.6386 + 46.1393i 1.07330 + 1.85901i
\(617\) 18.2282 31.5722i 0.733840 1.27105i −0.221390 0.975185i \(-0.571059\pi\)
0.955230 0.295863i \(-0.0956073\pi\)
\(618\) −28.8930 6.66054i −1.16225 0.267926i
\(619\) 19.8664 34.4097i 0.798500 1.38304i −0.122093 0.992519i \(-0.538961\pi\)
0.920593 0.390523i \(-0.127706\pi\)
\(620\) 1.34297 0.0539352
\(621\) 14.4732 5.57203i 0.580791 0.223598i
\(622\) −7.45555 + 12.9134i −0.298940 + 0.517780i
\(623\) −7.27375 −0.291417
\(624\) −5.02835 16.4278i −0.201295 0.657638i
\(625\) 20.5295 0.821182
\(626\) 4.73383 + 8.19923i 0.189202 + 0.327707i
\(627\) 10.5951 39.1614i 0.423128 1.56396i
\(628\) 1.29474 2.24255i 0.0516657 0.0894875i
\(629\) 23.9569 41.4946i 0.955225 1.65450i
\(630\) −5.48552 + 3.70525i −0.218548 + 0.147621i
\(631\) −14.0414 24.3204i −0.558980 0.968181i −0.997582 0.0694998i \(-0.977860\pi\)
0.438602 0.898681i \(-0.355474\pi\)
\(632\) 1.73891 + 3.01188i 0.0691702 + 0.119806i
\(633\) −4.12079 13.4628i −0.163787 0.535097i
\(634\) −5.87339 10.1730i −0.233262 0.404022i
\(635\) 2.89472 + 5.01380i 0.114873 + 0.198967i
\(636\) 0.272516 + 0.890321i 0.0108060 + 0.0353035i
\(637\) 12.3964 0.491165
\(638\) 36.4477 1.44298
\(639\) −0.214504 3.03902i −0.00848564 0.120222i
\(640\) −1.56666 2.71353i −0.0619277 0.107262i
\(641\) 14.0612 + 24.3547i 0.555384 + 0.961953i 0.997874 + 0.0651798i \(0.0207621\pi\)
−0.442489 + 0.896774i \(0.645905\pi\)
\(642\) 23.0168 24.6987i 0.908401 0.974779i
\(643\) 19.8509 0.782844 0.391422 0.920211i \(-0.371983\pi\)
0.391422 + 0.920211i \(0.371983\pi\)
\(644\) −4.62930 −0.182420
\(645\) 2.33952 2.51048i 0.0921187 0.0988499i
\(646\) 1.05337 27.9591i 0.0414444 1.10004i
\(647\) −22.5967 −0.888369 −0.444184 0.895935i \(-0.646506\pi\)
−0.444184 + 0.895935i \(0.646506\pi\)
\(648\) 10.2737 25.5243i 0.403590 1.00269i
\(649\) −20.8992 + 36.1986i −0.820367 + 1.42092i
\(650\) 20.4128 0.800658
\(651\) 8.37056 + 27.3469i 0.328068 + 1.07181i
\(652\) −2.40166 + 4.15980i −0.0940564 + 0.162911i
\(653\) −20.4974 35.5026i −0.802127 1.38932i −0.918214 0.396085i \(-0.870368\pi\)
0.116087 0.993239i \(-0.462965\pi\)
\(654\) −4.74901 15.5152i −0.185701 0.606692i
\(655\) 0.310767 0.0121427
\(656\) 2.40667 + 4.16847i 0.0939646 + 0.162751i
\(657\) −2.52862 35.8246i −0.0986509 1.39765i
\(658\) 42.5489 1.65873
\(659\) 35.3313 1.37631 0.688156 0.725563i \(-0.258421\pi\)
0.688156 + 0.725563i \(0.258421\pi\)
\(660\) −1.67374 + 1.79605i −0.0651504 + 0.0699110i
\(661\) 22.3643 38.7362i 0.869872 1.50666i 0.00774569 0.999970i \(-0.497534\pi\)
0.862127 0.506693i \(-0.169132\pi\)
\(662\) 11.9425 0.464158
\(663\) −21.6520 + 23.2341i −0.840893 + 0.902338i
\(664\) −3.49653 + 6.05617i −0.135692 + 0.235025i
\(665\) −6.60071 4.14988i −0.255965 0.160925i
\(666\) −30.6386 14.9187i −1.18722 0.578087i
\(667\) −8.20546 + 14.2123i −0.317717 + 0.550301i
\(668\) −3.43024 5.94134i −0.132720 0.229877i
\(669\) −6.85809 + 7.35922i −0.265149 + 0.284524i
\(670\) 1.61426 0.0623644
\(671\) −30.5606 + 52.9325i −1.17978 + 2.04344i
\(672\) −10.1179 + 10.8572i −0.390307 + 0.418827i
\(673\) −10.6195 + 18.3935i −0.409351 + 0.709017i −0.994817 0.101680i \(-0.967578\pi\)
0.585466 + 0.810697i \(0.300912\pi\)
\(674\) −18.7308 32.4427i −0.721483 1.24965i
\(675\) 18.9775 + 15.3369i 0.730443 + 0.590317i
\(676\) 0.278435 0.0107090
\(677\) −8.69327 + 15.0572i −0.334109 + 0.578694i −0.983313 0.181920i \(-0.941769\pi\)
0.649204 + 0.760614i \(0.275102\pi\)
\(678\) 9.43461 + 2.17491i 0.362334 + 0.0835268i
\(679\) 26.5352 1.01833
\(680\) −4.38682 + 7.59819i −0.168227 + 0.291377i
\(681\) −19.8759 4.58188i −0.761647 0.175578i
\(682\) −16.8746 29.2277i −0.646163 1.11919i
\(683\) 30.4671 1.16579 0.582896 0.812547i \(-0.301920\pi\)
0.582896 + 0.812547i \(0.301920\pi\)
\(684\) 6.25059 0.205148i 0.238997 0.00784403i
\(685\) −9.50489 −0.363163
\(686\) −6.96554 12.0647i −0.265946 0.460631i
\(687\) −29.8099 + 31.9882i −1.13732 + 1.22042i
\(688\) −5.05556 + 8.75649i −0.192742 + 0.333838i
\(689\) −3.96095 −0.150900
\(690\) 1.02945 + 3.36326i 0.0391906 + 0.128037i
\(691\) 3.54990 6.14860i 0.135044 0.233904i −0.790570 0.612372i \(-0.790216\pi\)
0.925614 + 0.378468i \(0.123549\pi\)
\(692\) −1.95834 −0.0744448
\(693\) −47.0050 22.8879i −1.78557 0.869438i
\(694\) −5.08265 8.80341i −0.192935 0.334173i
\(695\) 0.400551 0.693775i 0.0151938 0.0263164i
\(696\) 8.52145 + 27.8399i 0.323005 + 1.05527i
\(697\) 4.44894 7.70578i 0.168515 0.291877i
\(698\) 0.299886 0.0113509
\(699\) −30.5199 7.03557i −1.15437 0.266110i
\(700\) −3.64166 6.30754i −0.137642 0.238402i
\(701\) −7.28494 + 12.6179i −0.275148 + 0.476571i −0.970173 0.242416i \(-0.922060\pi\)
0.695024 + 0.718986i \(0.255394\pi\)
\(702\) 17.5680 + 14.1978i 0.663062 + 0.535862i
\(703\) 1.51114 40.1094i 0.0569938 1.51276i
\(704\) 23.8820 41.3648i 0.900086 1.55899i
\(705\) 2.97367 + 9.71509i 0.111995 + 0.365891i
\(706\) 13.2730 0.499535
\(707\) −8.81204 + 15.2629i −0.331411 + 0.574020i
\(708\) −6.27875 1.44740i −0.235970 0.0543968i
\(709\) −12.3443 −0.463601 −0.231800 0.972763i \(-0.574462\pi\)
−0.231800 + 0.972763i \(0.574462\pi\)
\(710\) 0.690942 0.0259306
\(711\) −3.06839 1.49407i −0.115074 0.0560321i
\(712\) 3.42833 + 5.93804i 0.128482 + 0.222537i
\(713\) 15.1959 0.569092
\(714\) −35.1346 8.09937i −1.31488 0.303111i
\(715\) −5.22195 9.04469i −0.195290 0.338252i
\(716\) 0.469006 0.812343i 0.0175276 0.0303587i
\(717\) 9.82155 10.5392i 0.366793 0.393595i
\(718\) −20.5880 −0.768337
\(719\) 6.57335 11.3854i 0.245144 0.424603i −0.717028 0.697045i \(-0.754498\pi\)
0.962172 + 0.272442i \(0.0878313\pi\)
\(720\) 4.18738 + 2.03894i 0.156054 + 0.0759867i
\(721\) −45.0057 −1.67610
\(722\) −10.1586 21.1224i −0.378063 0.786093i
\(723\) 10.0307 + 32.7706i 0.373045 + 1.21875i
\(724\) 0.598603 0.0222469
\(725\) −25.8194 −0.958910
\(726\) 37.2164 + 8.57929i 1.38123 + 0.318407i
\(727\) 2.51780 + 4.36095i 0.0933800 + 0.161739i 0.908931 0.416946i \(-0.136900\pi\)
−0.815551 + 0.578685i \(0.803566\pi\)
\(728\) −17.4692 30.2575i −0.647451 1.12142i
\(729\) 5.66537 + 26.3989i 0.209828 + 0.977738i
\(730\) 8.14498 0.301459
\(731\) 18.6913 0.691323
\(732\) −9.18131 2.11651i −0.339351 0.0782286i
\(733\) 21.5362 + 37.3019i 0.795459 + 1.37778i 0.922547 + 0.385884i \(0.126104\pi\)
−0.127088 + 0.991891i \(0.540563\pi\)
\(734\) −9.35663 16.2062i −0.345359 0.598180i
\(735\) −2.29111 + 2.45852i −0.0845088 + 0.0906840i
\(736\) 3.94278 + 6.82909i 0.145333 + 0.251724i
\(737\) 6.37462 + 11.0412i 0.234812 + 0.406706i
\(738\) −5.68976 2.77048i −0.209443 0.101983i
\(739\) −5.54488 + 9.60401i −0.203972 + 0.353289i −0.949805 0.312844i \(-0.898718\pi\)
0.745833 + 0.666133i \(0.232052\pi\)
\(740\) −1.21446 + 2.10351i −0.0446445 + 0.0773265i
\(741\) −6.94811 + 25.6815i −0.255245 + 0.943433i
\(742\) −2.24844 3.89441i −0.0825428 0.142968i
\(743\) −6.01014 −0.220491 −0.110245 0.993904i \(-0.535164\pi\)
−0.110245 + 0.993904i \(0.535164\pi\)
\(744\) 18.3798 19.7228i 0.673836 0.723074i
\(745\) −2.58680 −0.0947732
\(746\) 18.9984 32.9062i 0.695580 1.20478i
\(747\) −0.483165 6.84531i −0.0176781 0.250457i
\(748\) −13.3721 −0.488934
\(749\) 25.6221 44.3788i 0.936212 1.62157i
\(750\) −7.78980 + 8.35901i −0.284443 + 0.305228i
\(751\) 1.75857 3.04593i 0.0641711 0.111148i −0.832155 0.554543i \(-0.812893\pi\)
0.896326 + 0.443396i \(0.146226\pi\)
\(752\) −14.9681 25.9255i −0.545831 0.945407i
\(753\) −13.2502 + 14.2184i −0.482864 + 0.518148i
\(754\) −23.9018 −0.870453
\(755\) −0.203456 + 0.352396i −0.00740453 + 0.0128250i
\(756\) 1.25296 7.96138i 0.0455698 0.289553i
\(757\) −14.2947 + 24.7592i −0.519551 + 0.899888i 0.480191 + 0.877164i \(0.340567\pi\)
−0.999742 + 0.0227241i \(0.992766\pi\)
\(758\) 13.6951 + 23.7205i 0.497427 + 0.861569i
\(759\) −18.9386 + 20.3225i −0.687428 + 0.737660i
\(760\) −0.276709 + 7.34455i −0.0100373 + 0.266415i
\(761\) −10.3023 17.8440i −0.373457 0.646846i 0.616638 0.787247i \(-0.288494\pi\)
−0.990095 + 0.140401i \(0.955161\pi\)
\(762\) 21.8547 + 5.03804i 0.791714 + 0.182509i
\(763\) −12.3142 21.3288i −0.445803 0.772153i
\(764\) −3.99451 6.91870i −0.144516 0.250310i
\(765\) −0.606188 8.58825i −0.0219168 0.310509i
\(766\) 1.91665 + 3.31974i 0.0692515 + 0.119947i
\(767\) 13.7054 23.7385i 0.494874 0.857147i
\(768\) 18.1764 + 4.19011i 0.655886 + 0.151197i
\(769\) 13.5687 23.5017i 0.489300 0.847493i −0.510624 0.859804i \(-0.670586\pi\)
0.999924 + 0.0123111i \(0.00391885\pi\)
\(770\) 5.92850 10.2685i 0.213648 0.370050i
\(771\) 51.9391 + 11.9732i 1.87054 + 0.431205i
\(772\) 5.91619 10.2471i 0.212928 0.368803i
\(773\) 24.5515 + 42.5244i 0.883056 + 1.52950i 0.847926 + 0.530115i \(0.177851\pi\)
0.0351305 + 0.999383i \(0.488815\pi\)
\(774\) −0.935992 13.2608i −0.0336435 0.476650i