Properties

Label 192.2.s.a.131.16
Level $192$
Weight $2$
Character 192.131
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 131.16
Character \(\chi\) \(=\) 192.131
Dual form 192.2.s.a.107.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.194374 - 1.40079i) q^{2} +(-1.72790 + 0.119901i) q^{3} +(-1.92444 - 0.544556i) q^{4} +(-1.28724 + 1.92649i) q^{5} +(-0.167902 + 2.44373i) q^{6} +(1.24174 + 2.99783i) q^{7} +(-1.13687 + 2.58989i) q^{8} +(2.97125 - 0.414354i) q^{9} +O(q^{10})\) \(q+(0.194374 - 1.40079i) q^{2} +(-1.72790 + 0.119901i) q^{3} +(-1.92444 - 0.544556i) q^{4} +(-1.28724 + 1.92649i) q^{5} +(-0.167902 + 2.44373i) q^{6} +(1.24174 + 2.99783i) q^{7} +(-1.13687 + 2.58989i) q^{8} +(2.97125 - 0.414354i) q^{9} +(2.44840 + 2.17761i) q^{10} +(-4.09274 + 0.814097i) q^{11} +(3.39052 + 0.710194i) q^{12} +(2.40194 - 1.60493i) q^{13} +(4.44071 - 1.15672i) q^{14} +(1.99322 - 3.48311i) q^{15} +(3.40692 + 2.09593i) q^{16} +(-2.79904 + 2.79904i) q^{17} +(-0.00288996 - 4.24264i) q^{18} +(-4.13408 + 2.76230i) q^{19} +(3.52629 - 3.00643i) q^{20} +(-2.50505 - 5.03106i) q^{21} +(0.344856 + 5.89132i) q^{22} +(-0.248899 + 0.600896i) q^{23} +(1.65386 - 4.61137i) q^{24} +(-0.140954 - 0.340294i) q^{25} +(-1.78129 - 3.67658i) q^{26} +(-5.08432 + 1.07222i) q^{27} +(-0.757168 - 6.44534i) q^{28} +(-0.476649 + 2.39628i) q^{29} +(-4.49168 - 3.46912i) q^{30} -4.97417 q^{31} +(3.59818 - 4.36499i) q^{32} +(6.97422 - 1.89740i) q^{33} +(3.37682 + 4.46494i) q^{34} +(-7.37371 - 1.46672i) q^{35} +(-5.94362 - 0.820612i) q^{36} +(1.60025 - 2.39495i) q^{37} +(3.06585 + 6.32791i) q^{38} +(-3.95787 + 3.06114i) q^{39} +(-3.52596 - 5.52397i) q^{40} +(6.25255 + 2.58989i) q^{41} +(-7.53438 + 2.53114i) q^{42} +(9.47949 - 1.88559i) q^{43} +(8.31954 + 0.662050i) q^{44} +(-3.02645 + 6.25744i) q^{45} +(0.793351 + 0.465455i) q^{46} +(-5.26021 - 5.26021i) q^{47} +(-6.13810 - 3.21305i) q^{48} +(-2.49533 + 2.49533i) q^{49} +(-0.504079 + 0.131303i) q^{50} +(4.50085 - 5.17207i) q^{51} +(-5.49636 + 1.78059i) q^{52} +(-2.26887 - 11.4064i) q^{53} +(0.513692 + 7.33049i) q^{54} +(3.69998 - 8.93255i) q^{55} +(-9.17576 - 0.192175i) q^{56} +(6.81206 - 5.26866i) q^{57} +(3.26404 + 1.13346i) q^{58} +(8.56253 + 5.72130i) q^{59} +(-5.73258 + 5.61760i) q^{60} +(-2.21251 + 11.1230i) q^{61} +(-0.966852 + 6.96778i) q^{62} +(4.93169 + 8.39278i) q^{63} +(-5.41505 - 5.88874i) q^{64} +6.69323i q^{65} +(-1.30225 - 10.1382i) q^{66} +(-9.19028 - 1.82806i) q^{67} +(6.91082 - 3.86235i) q^{68} +(0.358024 - 1.06813i) q^{69} +(-3.48783 + 10.0439i) q^{70} +(9.64379 - 3.99459i) q^{71} +(-2.30479 + 8.16627i) q^{72} +(-10.4843 - 4.34273i) q^{73} +(-3.04377 - 2.70714i) q^{74} +(0.284356 + 0.571092i) q^{75} +(9.46001 - 3.06464i) q^{76} +(-7.52266 - 11.2585i) q^{77} +(3.51871 + 6.13916i) q^{78} +(4.55477 + 4.55477i) q^{79} +(-8.42329 + 3.86542i) q^{80} +(8.65662 - 2.46230i) q^{81} +(4.84324 - 8.25512i) q^{82} +(6.97801 + 10.4433i) q^{83} +(2.08111 + 11.0461i) q^{84} +(-1.78929 - 8.99536i) q^{85} +(-0.798746 - 13.6453i) q^{86} +(0.536283 - 4.19767i) q^{87} +(2.54450 - 11.5253i) q^{88} +(0.570461 - 0.236293i) q^{89} +(8.17711 + 5.45572i) q^{90} +(7.79390 + 5.20772i) q^{91} +(0.806213 - 1.02085i) q^{92} +(8.59485 - 0.596410i) q^{93} +(-8.39090 + 6.34600i) q^{94} -11.5200i q^{95} +(-5.69391 + 7.97367i) q^{96} +12.6274i q^{97} +(3.01041 + 3.98047i) q^{98} +(-11.8232 + 4.11473i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.194374 1.40079i 0.137443 0.990510i
\(3\) −1.72790 + 0.119901i −0.997601 + 0.0692251i
\(4\) −1.92444 0.544556i −0.962219 0.272278i
\(5\) −1.28724 + 1.92649i −0.575670 + 0.861551i −0.999013 0.0444184i \(-0.985857\pi\)
0.423343 + 0.905969i \(0.360857\pi\)
\(6\) −0.167902 + 2.44373i −0.0685456 + 0.997648i
\(7\) 1.24174 + 2.99783i 0.469335 + 1.13307i 0.964454 + 0.264250i \(0.0851243\pi\)
−0.495119 + 0.868825i \(0.664876\pi\)
\(8\) −1.13687 + 2.58989i −0.401945 + 0.915664i
\(9\) 2.97125 0.414354i 0.990416 0.138118i
\(10\) 2.44840 + 2.17761i 0.774253 + 0.688621i
\(11\) −4.09274 + 0.814097i −1.23401 + 0.245459i −0.768654 0.639665i \(-0.779073\pi\)
−0.465354 + 0.885125i \(0.654073\pi\)
\(12\) 3.39052 + 0.710194i 0.978759 + 0.205015i
\(13\) 2.40194 1.60493i 0.666179 0.445126i −0.175953 0.984399i \(-0.556301\pi\)
0.842132 + 0.539272i \(0.181301\pi\)
\(14\) 4.44071 1.15672i 1.18683 0.309147i
\(15\) 1.99322 3.48311i 0.514648 0.899335i
\(16\) 3.40692 + 2.09593i 0.851729 + 0.523982i
\(17\) −2.79904 + 2.79904i −0.678868 + 0.678868i −0.959744 0.280876i \(-0.909375\pi\)
0.280876 + 0.959744i \(0.409375\pi\)
\(18\) −0.00288996 4.24264i −0.000681170 1.00000i
\(19\) −4.13408 + 2.76230i −0.948423 + 0.633716i −0.930566 0.366124i \(-0.880684\pi\)
−0.0178573 + 0.999841i \(0.505684\pi\)
\(20\) 3.52629 3.00643i 0.788502 0.672258i
\(21\) −2.50505 5.03106i −0.546646 1.09787i
\(22\) 0.344856 + 5.89132i 0.0735236 + 1.25603i
\(23\) −0.248899 + 0.600896i −0.0518991 + 0.125296i −0.947703 0.319155i \(-0.896601\pi\)
0.895803 + 0.444450i \(0.146601\pi\)
\(24\) 1.65386 4.61137i 0.337594 0.941292i
\(25\) −0.140954 0.340294i −0.0281909 0.0680588i
\(26\) −1.78129 3.67658i −0.349340 0.721036i
\(27\) −5.08432 + 1.07222i −0.978479 + 0.206348i
\(28\) −0.757168 6.44534i −0.143091 1.21806i
\(29\) −0.476649 + 2.39628i −0.0885115 + 0.444977i 0.910961 + 0.412493i \(0.135342\pi\)
−0.999472 + 0.0324843i \(0.989658\pi\)
\(30\) −4.49168 3.46912i −0.820065 0.633372i
\(31\) −4.97417 −0.893388 −0.446694 0.894687i \(-0.647399\pi\)
−0.446694 + 0.894687i \(0.647399\pi\)
\(32\) 3.59818 4.36499i 0.636074 0.771628i
\(33\) 6.97422 1.89740i 1.21406 0.330295i
\(34\) 3.37682 + 4.46494i 0.579119 + 0.765731i
\(35\) −7.37371 1.46672i −1.24638 0.247921i
\(36\) −5.94362 0.820612i −0.990603 0.136769i
\(37\) 1.60025 2.39495i 0.263080 0.393727i −0.676288 0.736637i \(-0.736413\pi\)
0.939368 + 0.342910i \(0.111413\pi\)
\(38\) 3.06585 + 6.32791i 0.497347 + 1.02652i
\(39\) −3.95787 + 3.06114i −0.633767 + 0.490175i
\(40\) −3.52596 5.52397i −0.557504 0.873416i
\(41\) 6.25255 + 2.58989i 0.976485 + 0.404473i 0.813122 0.582093i \(-0.197766\pi\)
0.163363 + 0.986566i \(0.447766\pi\)
\(42\) −7.53438 + 2.53114i −1.16258 + 0.390564i
\(43\) 9.47949 1.88559i 1.44561 0.287549i 0.590936 0.806718i \(-0.298758\pi\)
0.854672 + 0.519169i \(0.173758\pi\)
\(44\) 8.31954 + 0.662050i 1.25422 + 0.0998077i
\(45\) −3.02645 + 6.25744i −0.451157 + 0.932804i
\(46\) 0.793351 + 0.465455i 0.116973 + 0.0686276i
\(47\) −5.26021 5.26021i −0.767280 0.767280i 0.210347 0.977627i \(-0.432541\pi\)
−0.977627 + 0.210347i \(0.932541\pi\)
\(48\) −6.13810 3.21305i −0.885959 0.463764i
\(49\) −2.49533 + 2.49533i −0.356476 + 0.356476i
\(50\) −0.504079 + 0.131303i −0.0712875 + 0.0185691i
\(51\) 4.50085 5.17207i 0.630245 0.724234i
\(52\) −5.49636 + 1.78059i −0.762208 + 0.246923i
\(53\) −2.26887 11.4064i −0.311653 1.56678i −0.745942 0.666011i \(-0.768001\pi\)
0.434289 0.900773i \(-0.356999\pi\)
\(54\) 0.513692 + 7.33049i 0.0699047 + 0.997554i
\(55\) 3.69998 8.93255i 0.498905 1.20446i
\(56\) −9.17576 0.192175i −1.22616 0.0256804i
\(57\) 6.81206 5.26866i 0.902279 0.697851i
\(58\) 3.26404 + 1.13346i 0.428589 + 0.148831i
\(59\) 8.56253 + 5.72130i 1.11475 + 0.744850i 0.969633 0.244565i \(-0.0786452\pi\)
0.145114 + 0.989415i \(0.453645\pi\)
\(60\) −5.73258 + 5.61760i −0.740073 + 0.725230i
\(61\) −2.21251 + 11.1230i −0.283283 + 1.42416i 0.532808 + 0.846236i \(0.321137\pi\)
−0.816091 + 0.577923i \(0.803863\pi\)
\(62\) −0.966852 + 6.96778i −0.122790 + 0.884909i
\(63\) 4.93169 + 8.39278i 0.621335 + 1.05739i
\(64\) −5.41505 5.88874i −0.676881 0.736093i
\(65\) 6.69323i 0.830193i
\(66\) −1.30225 10.1382i −0.160296 1.24793i
\(67\) −9.19028 1.82806i −1.12277 0.223333i −0.401414 0.915897i \(-0.631481\pi\)
−0.721357 + 0.692563i \(0.756481\pi\)
\(68\) 6.91082 3.86235i 0.838060 0.468379i
\(69\) 0.358024 1.06813i 0.0431010 0.128588i
\(70\) −3.48783 + 10.0439i −0.416876 + 1.20048i
\(71\) 9.64379 3.99459i 1.14451 0.474070i 0.271819 0.962348i \(-0.412375\pi\)
0.872688 + 0.488278i \(0.162375\pi\)
\(72\) −2.30479 + 8.16627i −0.271623 + 0.962404i
\(73\) −10.4843 4.34273i −1.22709 0.508278i −0.327435 0.944874i \(-0.606184\pi\)
−0.899658 + 0.436595i \(0.856184\pi\)
\(74\) −3.04377 2.70714i −0.353831 0.314698i
\(75\) 0.284356 + 0.571092i 0.0328346 + 0.0659440i
\(76\) 9.46001 3.06464i 1.08514 0.351538i
\(77\) −7.52266 11.2585i −0.857287 1.28302i
\(78\) 3.51871 + 6.13916i 0.398416 + 0.695123i
\(79\) 4.55477 + 4.55477i 0.512452 + 0.512452i 0.915277 0.402825i \(-0.131972\pi\)
−0.402825 + 0.915277i \(0.631972\pi\)
\(80\) −8.42329 + 3.86542i −0.941752 + 0.432167i
\(81\) 8.65662 2.46230i 0.961847 0.273589i
\(82\) 4.84324 8.25512i 0.534846 0.911625i
\(83\) 6.97801 + 10.4433i 0.765936 + 1.14630i 0.985329 + 0.170667i \(0.0545924\pi\)
−0.219393 + 0.975637i \(0.570408\pi\)
\(84\) 2.08111 + 11.0461i 0.227068 + 1.20523i
\(85\) −1.78929 8.99536i −0.194076 0.975684i
\(86\) −0.798746 13.6453i −0.0861310 1.47141i
\(87\) 0.536283 4.19767i 0.0574955 0.450037i
\(88\) 2.54450 11.5253i 0.271245 1.22860i
\(89\) 0.570461 0.236293i 0.0604687 0.0250470i −0.352244 0.935908i \(-0.614581\pi\)
0.412713 + 0.910861i \(0.364581\pi\)
\(90\) 8.17711 + 5.45572i 0.861943 + 0.575083i
\(91\) 7.79390 + 5.20772i 0.817022 + 0.545917i
\(92\) 0.806213 1.02085i 0.0840535 0.106431i
\(93\) 8.59485 0.596410i 0.891244 0.0618449i
\(94\) −8.39090 + 6.34600i −0.865456 + 0.654540i
\(95\) 11.5200i 1.18193i
\(96\) −5.69391 + 7.97367i −0.581132 + 0.813809i
\(97\) 12.6274i 1.28211i 0.767493 + 0.641057i \(0.221504\pi\)
−0.767493 + 0.641057i \(0.778496\pi\)
\(98\) 3.01041 + 3.98047i 0.304098 + 0.402088i
\(99\) −11.8232 + 4.11473i −1.18828 + 0.413546i
\(100\) 0.0859486 + 0.731632i 0.00859486 + 0.0731632i
\(101\) 11.8378 + 7.90978i 1.17791 + 0.787052i 0.981121 0.193394i \(-0.0619497\pi\)
0.196786 + 0.980447i \(0.436950\pi\)
\(102\) −6.37014 7.31007i −0.630738 0.723805i
\(103\) 13.5660 5.61922i 1.33670 0.553678i 0.404139 0.914697i \(-0.367571\pi\)
0.932558 + 0.361019i \(0.117571\pi\)
\(104\) 1.42588 + 8.04536i 0.139819 + 0.788912i
\(105\) 12.9169 + 1.65022i 1.26056 + 0.161045i
\(106\) −16.4189 + 0.961105i −1.59475 + 0.0933508i
\(107\) 1.81393 + 9.11925i 0.175359 + 0.881592i 0.963830 + 0.266519i \(0.0858734\pi\)
−0.788470 + 0.615073i \(0.789127\pi\)
\(108\) 10.3683 + 0.705284i 0.997694 + 0.0678660i
\(109\) 3.14146 + 4.70153i 0.300898 + 0.450325i 0.950851 0.309649i \(-0.100212\pi\)
−0.649953 + 0.759974i \(0.725212\pi\)
\(110\) −11.7935 6.91916i −1.12446 0.659716i
\(111\) −2.47791 + 4.33009i −0.235193 + 0.410994i
\(112\) −2.05273 + 12.8160i −0.193965 + 1.21100i
\(113\) −4.32949 4.32949i −0.407284 0.407284i 0.473507 0.880790i \(-0.342988\pi\)
−0.880790 + 0.473507i \(0.842988\pi\)
\(114\) −6.05620 10.5664i −0.567215 0.989631i
\(115\) −0.837226 1.25300i −0.0780718 0.116843i
\(116\) 2.22219 4.35192i 0.206325 0.404066i
\(117\) 6.47175 5.76389i 0.598314 0.532872i
\(118\) 9.67869 10.8823i 0.890996 1.00179i
\(119\) −11.8668 4.91538i −1.08782 0.450592i
\(120\) 6.75483 + 9.12208i 0.616629 + 0.832728i
\(121\) 5.92509 2.45425i 0.538645 0.223114i
\(122\) 15.1510 + 5.26130i 1.37171 + 0.476336i
\(123\) −11.1143 3.72537i −1.00214 0.335906i
\(124\) 9.57248 + 2.70872i 0.859634 + 0.243250i
\(125\) −10.5252 2.09360i −0.941404 0.187257i
\(126\) 12.7151 5.27693i 1.13275 0.470107i
\(127\) 2.55349i 0.226586i 0.993562 + 0.113293i \(0.0361398\pi\)
−0.993562 + 0.113293i \(0.963860\pi\)
\(128\) −9.30145 + 6.44073i −0.822140 + 0.569286i
\(129\) −16.1535 + 4.39470i −1.42223 + 0.386932i
\(130\) 9.37582 + 1.30099i 0.822314 + 0.114105i
\(131\) −1.76291 + 8.86276i −0.154026 + 0.774343i 0.824118 + 0.566418i \(0.191671\pi\)
−0.978145 + 0.207925i \(0.933329\pi\)
\(132\) −14.4547 0.146427i −1.25812 0.0127449i
\(133\) −13.4144 8.96321i −1.16318 0.777209i
\(134\) −4.34709 + 12.5183i −0.375531 + 1.08142i
\(135\) 4.47912 11.1751i 0.385501 0.961798i
\(136\) −4.06706 10.4314i −0.348748 0.894482i
\(137\) −4.73134 + 11.4225i −0.404226 + 0.975887i 0.582402 + 0.812901i \(0.302113\pi\)
−0.986628 + 0.162987i \(0.947887\pi\)
\(138\) −1.42664 0.709134i −0.121443 0.0603655i
\(139\) 0.852191 + 4.28426i 0.0722819 + 0.363386i 0.999950 0.0100206i \(-0.00318971\pi\)
−0.927668 + 0.373406i \(0.878190\pi\)
\(140\) 13.3915 + 6.83801i 1.13179 + 0.577917i
\(141\) 9.71979 + 8.45838i 0.818554 + 0.712324i
\(142\) −3.72108 14.2854i −0.312266 1.19880i
\(143\) −8.52396 + 8.52396i −0.712809 + 0.712809i
\(144\) 10.9912 + 4.81585i 0.915937 + 0.401321i
\(145\) −4.00283 4.00283i −0.332417 0.332417i
\(146\) −8.12114 + 13.8422i −0.672111 + 1.14559i
\(147\) 4.01248 4.61087i 0.330944 0.380298i
\(148\) −4.38377 + 3.73750i −0.360343 + 0.307220i
\(149\) −5.16810 + 1.02800i −0.423387 + 0.0842170i −0.402185 0.915558i \(-0.631749\pi\)
−0.0212019 + 0.999775i \(0.506749\pi\)
\(150\) 0.855252 0.287318i 0.0698311 0.0234594i
\(151\) −2.25770 0.935171i −0.183729 0.0761032i 0.288922 0.957353i \(-0.406703\pi\)
−0.472652 + 0.881249i \(0.656703\pi\)
\(152\) −2.45414 13.8472i −0.199057 1.12316i
\(153\) −7.15686 + 9.47645i −0.578598 + 0.766126i
\(154\) −17.2330 + 8.34933i −1.38867 + 0.672808i
\(155\) 6.40294 9.58268i 0.514296 0.769699i
\(156\) 9.28364 3.73569i 0.743286 0.299095i
\(157\) −4.50902 0.896900i −0.359859 0.0715804i 0.0118498 0.999930i \(-0.496228\pi\)
−0.371709 + 0.928349i \(0.621228\pi\)
\(158\) 7.26562 5.49496i 0.578022 0.437155i
\(159\) 5.28800 + 19.4370i 0.419366 + 1.54145i
\(160\) 3.77738 + 12.5506i 0.298628 + 0.992213i
\(161\) −2.11046 −0.166327
\(162\) −1.76654 12.6047i −0.138793 0.990321i
\(163\) 3.72684 18.7361i 0.291909 1.46752i −0.504840 0.863213i \(-0.668449\pi\)
0.796749 0.604311i \(-0.206551\pi\)
\(164\) −10.6223 8.38895i −0.829463 0.655067i
\(165\) −5.32216 + 15.8781i −0.414329 + 1.23611i
\(166\) 15.9853 7.74482i 1.24070 0.601115i
\(167\) −2.91186 7.02984i −0.225326 0.543986i 0.770271 0.637716i \(-0.220121\pi\)
−0.995598 + 0.0937307i \(0.970121\pi\)
\(168\) 15.8778 0.768129i 1.22500 0.0592624i
\(169\) −1.78135 + 4.30056i −0.137027 + 0.330812i
\(170\) −12.9484 + 0.757953i −0.993098 + 0.0581323i
\(171\) −11.1388 + 9.92046i −0.851806 + 0.758637i
\(172\) −19.2695 1.53342i −1.46928 0.116922i
\(173\) 18.6434 12.4571i 1.41743 0.947097i 0.418181 0.908364i \(-0.362668\pi\)
0.999250 0.0387328i \(-0.0123321\pi\)
\(174\) −5.77582 1.56714i −0.437864 0.118805i
\(175\) 0.845115 0.845115i 0.0638847 0.0638847i
\(176\) −15.6499 5.80453i −1.17966 0.437533i
\(177\) −15.4812 8.85915i −1.16363 0.665894i
\(178\) −0.220114 0.845027i −0.0164982 0.0633374i
\(179\) 10.4696 6.99557i 0.782536 0.522874i −0.0989453 0.995093i \(-0.531547\pi\)
0.881481 + 0.472219i \(0.156547\pi\)
\(180\) 9.23175 10.3940i 0.688094 0.774721i
\(181\) −5.02319 + 0.999175i −0.373371 + 0.0742681i −0.378209 0.925720i \(-0.623460\pi\)
0.00483824 + 0.999988i \(0.498460\pi\)
\(182\) 8.80986 9.90538i 0.653030 0.734236i
\(183\) 2.48932 19.4847i 0.184016 1.44035i
\(184\) −1.27329 1.32776i −0.0938680 0.0978840i
\(185\) 2.55393 + 6.16573i 0.187768 + 0.453313i
\(186\) 0.835172 12.1555i 0.0612378 0.891286i
\(187\) 9.17707 13.7345i 0.671094 1.00436i
\(188\) 7.25846 + 12.9874i 0.529377 + 0.947204i
\(189\) −9.52776 13.9105i −0.693042 1.01184i
\(190\) −16.1371 2.23919i −1.17071 0.162448i
\(191\) 5.06189 0.366266 0.183133 0.983088i \(-0.441376\pi\)
0.183133 + 0.983088i \(0.441376\pi\)
\(192\) 10.0627 + 9.52586i 0.726213 + 0.687470i
\(193\) −12.0275 −0.865758 −0.432879 0.901452i \(-0.642502\pi\)
−0.432879 + 0.901452i \(0.642502\pi\)
\(194\) 17.6883 + 2.45444i 1.26995 + 0.176218i
\(195\) −0.802528 11.5652i −0.0574702 0.828201i
\(196\) 6.16096 3.44326i 0.440069 0.245947i
\(197\) 2.61543 3.91427i 0.186342 0.278880i −0.726523 0.687142i \(-0.758865\pi\)
0.912865 + 0.408262i \(0.133865\pi\)
\(198\) 3.46575 + 17.3617i 0.246300 + 1.23384i
\(199\) 0.358976 + 0.866645i 0.0254472 + 0.0614349i 0.936092 0.351754i \(-0.114415\pi\)
−0.910645 + 0.413189i \(0.864415\pi\)
\(200\) 1.04157 + 0.0218144i 0.0736501 + 0.00154251i
\(201\) 16.0990 + 2.05677i 1.13554 + 0.145073i
\(202\) 13.3809 15.0449i 0.941478 1.05855i
\(203\) −7.77551 + 1.54665i −0.545734 + 0.108553i
\(204\) −11.4781 + 7.50235i −0.803626 + 0.525270i
\(205\) −13.0379 + 8.71166i −0.910607 + 0.608448i
\(206\) −5.23448 20.0954i −0.364703 1.40011i
\(207\) −0.490558 + 1.88854i −0.0340961 + 0.131263i
\(208\) 11.5470 0.433551i 0.800642 0.0300614i
\(209\) 14.6709 14.6709i 1.01481 1.01481i
\(210\) 4.82233 17.7731i 0.332772 1.22646i
\(211\) −14.2301 + 9.50828i −0.979643 + 0.654577i −0.938754 0.344587i \(-0.888019\pi\)
−0.0408890 + 0.999164i \(0.513019\pi\)
\(212\) −1.84512 + 23.1863i −0.126723 + 1.59244i
\(213\) −16.1845 + 8.05854i −1.10894 + 0.552162i
\(214\) 13.1268 0.768392i 0.897327 0.0525262i
\(215\) −8.56979 + 20.6893i −0.584455 + 1.41100i
\(216\) 3.00330 14.3868i 0.204349 0.978898i
\(217\) −6.17664 14.9117i −0.419298 1.01227i
\(218\) 7.19649 3.48668i 0.487408 0.236148i
\(219\) 18.6365 + 6.24671i 1.25933 + 0.422113i
\(220\) −11.9847 + 15.1753i −0.808005 + 1.02312i
\(221\) −2.23088 + 11.2154i −0.150065 + 0.754430i
\(222\) 5.58391 + 4.31270i 0.374768 + 0.289449i
\(223\) 9.22739 0.617912 0.308956 0.951076i \(-0.400020\pi\)
0.308956 + 0.951076i \(0.400020\pi\)
\(224\) 17.5535 + 5.36655i 1.17284 + 0.358567i
\(225\) −0.559812 0.952692i −0.0373208 0.0635128i
\(226\) −6.90625 + 5.22317i −0.459397 + 0.347440i
\(227\) 5.86667 + 1.16695i 0.389385 + 0.0774535i 0.385900 0.922540i \(-0.373891\pi\)
0.00348449 + 0.999994i \(0.498891\pi\)
\(228\) −15.9785 + 6.42965i −1.05820 + 0.425814i
\(229\) 1.13664 1.70110i 0.0751111 0.112412i −0.792012 0.610505i \(-0.790966\pi\)
0.867123 + 0.498094i \(0.165966\pi\)
\(230\) −1.91792 + 0.929229i −0.126464 + 0.0612716i
\(231\) 14.3483 + 18.5515i 0.944047 + 1.22060i
\(232\) −5.66420 3.95873i −0.371873 0.259903i
\(233\) −10.7241 4.44205i −0.702557 0.291009i 0.00266388 0.999996i \(-0.499152\pi\)
−0.705221 + 0.708988i \(0.749152\pi\)
\(234\) −6.81607 10.1859i −0.445580 0.665875i
\(235\) 16.9048 3.36258i 1.10275 0.219351i
\(236\) −13.3625 15.6731i −0.869823 1.02023i
\(237\) −8.41629 7.32405i −0.546697 0.475748i
\(238\) −9.19202 + 15.6675i −0.595830 + 1.01557i
\(239\) −8.89250 8.89250i −0.575208 0.575208i 0.358371 0.933579i \(-0.383332\pi\)
−0.933579 + 0.358371i \(0.883332\pi\)
\(240\) 14.0911 7.68901i 0.909576 0.496324i
\(241\) −2.30589 + 2.30589i −0.148535 + 0.148535i −0.777464 0.628928i \(-0.783494\pi\)
0.628928 + 0.777464i \(0.283494\pi\)
\(242\) −2.28621 8.77687i −0.146963 0.564199i
\(243\) −14.6625 + 5.29254i −0.940600 + 0.339516i
\(244\) 10.3150 20.2008i 0.660348 1.29322i
\(245\) −1.59514 8.01931i −0.101910 0.512335i
\(246\) −7.37881 + 14.8447i −0.470456 + 0.946463i
\(247\) −5.49653 + 13.2698i −0.349736 + 0.844336i
\(248\) 5.65499 12.8825i 0.359092 0.818043i
\(249\) −13.3094 17.2083i −0.843451 1.09053i
\(250\) −4.97853 + 14.3367i −0.314870 + 0.906733i
\(251\) −0.592935 0.396186i −0.0374257 0.0250071i 0.536717 0.843763i \(-0.319664\pi\)
−0.574142 + 0.818755i \(0.694664\pi\)
\(252\) −4.92039 18.8370i −0.309955 1.18662i
\(253\) 0.529493 2.66194i 0.0332889 0.167355i
\(254\) 3.57691 + 0.496333i 0.224435 + 0.0311427i
\(255\) 4.17026 + 15.3285i 0.261152 + 0.959908i
\(256\) 7.21416 + 14.2813i 0.450885 + 0.892582i
\(257\) 21.7354i 1.35582i 0.735145 + 0.677910i \(0.237114\pi\)
−0.735145 + 0.677910i \(0.762886\pi\)
\(258\) 3.01624 + 23.4819i 0.187783 + 1.46192i
\(259\) 9.16675 + 1.82338i 0.569594 + 0.113299i
\(260\) 3.64484 12.8807i 0.226043 0.798827i
\(261\) −0.423334 + 7.31743i −0.0262037 + 0.452938i
\(262\) 12.0722 + 4.19217i 0.745824 + 0.258993i
\(263\) 23.0110 9.53145i 1.41892 0.587735i 0.464329 0.885663i \(-0.346296\pi\)
0.954588 + 0.297928i \(0.0962957\pi\)
\(264\) −3.01474 + 20.2195i −0.185544 + 1.24443i
\(265\) 24.8948 + 10.3118i 1.52927 + 0.633446i
\(266\) −15.1630 + 17.0486i −0.929704 + 1.04531i
\(267\) −0.957365 + 0.476688i −0.0585898 + 0.0291728i
\(268\) 16.6906 + 8.52261i 1.01954 + 0.520601i
\(269\) 5.41480 + 8.10382i 0.330146 + 0.494099i 0.958993 0.283431i \(-0.0914726\pi\)
−0.628847 + 0.777529i \(0.716473\pi\)
\(270\) −14.7833 8.44646i −0.899685 0.514035i
\(271\) −4.56131 4.56131i −0.277080 0.277080i 0.554862 0.831942i \(-0.312771\pi\)
−0.831942 + 0.554862i \(0.812771\pi\)
\(272\) −15.4027 + 3.66951i −0.933927 + 0.222497i
\(273\) −14.0915 8.06389i −0.852854 0.488049i
\(274\) 15.0809 + 8.84786i 0.911068 + 0.534519i
\(275\) 0.853922 + 1.27798i 0.0514934 + 0.0770653i
\(276\) −1.27065 + 1.86058i −0.0764842 + 0.111994i
\(277\) 1.08494 + 5.45434i 0.0651875 + 0.327720i 0.999594 0.0284885i \(-0.00906941\pi\)
−0.934407 + 0.356208i \(0.884069\pi\)
\(278\) 6.16700 0.360993i 0.369872 0.0216509i
\(279\) −14.7795 + 2.06107i −0.884825 + 0.123393i
\(280\) 12.1816 17.4296i 0.727990 1.04162i
\(281\) −12.8781 + 5.33430i −0.768245 + 0.318218i −0.732161 0.681131i \(-0.761488\pi\)
−0.0360837 + 0.999349i \(0.511488\pi\)
\(282\) 13.7377 11.9713i 0.818069 0.712881i
\(283\) 0.599348 + 0.400472i 0.0356275 + 0.0238056i 0.573256 0.819376i \(-0.305680\pi\)
−0.537629 + 0.843182i \(0.680680\pi\)
\(284\) −20.7341 + 2.43575i −1.23035 + 0.144535i
\(285\) 1.38126 + 19.9053i 0.0818190 + 1.17909i
\(286\) 10.2835 + 13.5971i 0.608073 + 0.804015i
\(287\) 21.9601i 1.29626i
\(288\) 8.88242 14.4604i 0.523402 0.852086i
\(289\) 1.33070i 0.0782763i
\(290\) −6.38519 + 4.82909i −0.374951 + 0.283574i
\(291\) −1.51404 21.8188i −0.0887546 1.27904i
\(292\) 17.8115 + 14.0666i 1.04234 + 0.823186i
\(293\) 6.76616 + 4.52100i 0.395283 + 0.264120i 0.737288 0.675578i \(-0.236106\pi\)
−0.342005 + 0.939698i \(0.611106\pi\)
\(294\) −5.67895 6.51689i −0.331203 0.380073i
\(295\) −22.0440 + 9.13093i −1.28345 + 0.531623i
\(296\) 4.38336 + 6.86722i 0.254778 + 0.399149i
\(297\) 19.9359 8.52744i 1.15680 0.494812i
\(298\) 0.435467 + 7.43925i 0.0252259 + 0.430944i
\(299\) 0.366552 + 1.84278i 0.0211983 + 0.106571i
\(300\) −0.236234 1.25388i −0.0136390 0.0723927i
\(301\) 17.4238 + 26.0765i 1.00429 + 1.50302i
\(302\) −1.74882 + 2.98080i −0.100633 + 0.171526i
\(303\) −21.4029 12.2479i −1.22956 0.703623i
\(304\) −19.8741 + 0.746203i −1.13986 + 0.0427977i
\(305\) −18.5804 18.5804i −1.06391 1.06391i
\(306\) 11.8834 + 11.8672i 0.679330 + 0.678405i
\(307\) 3.67488 + 5.49985i 0.209737 + 0.313893i 0.921391 0.388636i \(-0.127054\pi\)
−0.711654 + 0.702530i \(0.752054\pi\)
\(308\) 8.34602 + 25.7627i 0.475559 + 1.46797i
\(309\) −22.7669 + 11.3360i −1.29516 + 0.644883i
\(310\) −12.1788 10.8318i −0.691708 0.615206i
\(311\) −4.29715 1.77994i −0.243669 0.100931i 0.257507 0.966277i \(-0.417099\pi\)
−0.501176 + 0.865345i \(0.667099\pi\)
\(312\) −3.42842 13.7306i −0.194096 0.777341i
\(313\) 7.51756 3.11388i 0.424918 0.176007i −0.159968 0.987122i \(-0.551139\pi\)
0.584886 + 0.811115i \(0.301139\pi\)
\(314\) −2.13281 + 6.14187i −0.120361 + 0.346606i
\(315\) −22.5168 1.30266i −1.26868 0.0733968i
\(316\) −6.28504 11.2457i −0.353561 0.632620i
\(317\) 32.3860 + 6.44197i 1.81898 + 0.361817i 0.982511 0.186202i \(-0.0596180\pi\)
0.836466 + 0.548019i \(0.184618\pi\)
\(318\) 28.2550 3.62935i 1.58446 0.203524i
\(319\) 10.1954i 0.570831i
\(320\) 18.3150 2.85181i 1.02384 0.159421i
\(321\) −4.22770 15.5396i −0.235967 0.867337i
\(322\) −0.410219 + 2.95631i −0.0228606 + 0.164749i
\(323\) 3.83966 19.3033i 0.213645 1.07406i
\(324\) −18.0000 + 0.0245221i −0.999999 + 0.00136234i
\(325\) −0.884711 0.591145i −0.0490749 0.0327908i
\(326\) −25.5210 8.86234i −1.41347 0.490840i
\(327\) −5.99184 7.74709i −0.331349 0.428415i
\(328\) −13.8159 + 13.2490i −0.762855 + 0.731556i
\(329\) 9.23740 22.3010i 0.509274 1.22950i
\(330\) 21.2075 + 10.5415i 1.16743 + 0.580293i
\(331\) −2.23020 11.2120i −0.122583 0.616266i −0.992417 0.122921i \(-0.960774\pi\)
0.869834 0.493345i \(-0.164226\pi\)
\(332\) −7.74176 23.8974i −0.424884 1.31154i
\(333\) 3.76239 7.77905i 0.206178 0.426289i
\(334\) −10.4133 + 2.71248i −0.569793 + 0.148421i
\(335\) 15.3518 15.3518i 0.838759 0.838759i
\(336\) 2.01025 22.3908i 0.109668 1.22152i
\(337\) 11.5995 + 11.5995i 0.631863 + 0.631863i 0.948535 0.316672i \(-0.102565\pi\)
−0.316672 + 0.948535i \(0.602565\pi\)
\(338\) 5.67794 + 3.33122i 0.308839 + 0.181194i
\(339\) 8.00001 + 6.96179i 0.434501 + 0.378112i
\(340\) −1.45511 + 18.2854i −0.0789142 + 0.991663i
\(341\) 20.3580 4.04946i 1.10245 0.219290i
\(342\) 11.7314 + 17.5314i 0.634362 + 0.947991i
\(343\) 10.4057 + 4.31017i 0.561854 + 0.232727i
\(344\) −5.89350 + 26.6945i −0.317756 + 1.43927i
\(345\) 1.59688 + 2.06466i 0.0859729 + 0.111158i
\(346\) −13.8260 28.5369i −0.743292 1.53415i
\(347\) 12.0418 18.0219i 0.646440 0.967466i −0.353052 0.935604i \(-0.614856\pi\)
0.999492 0.0318623i \(-0.0101438\pi\)
\(348\) −3.31791 + 7.78611i −0.177859 + 0.417379i
\(349\) −4.54281 0.903622i −0.243171 0.0483698i 0.0719999 0.997405i \(-0.477062\pi\)
−0.315171 + 0.949035i \(0.602062\pi\)
\(350\) −1.01956 1.34810i −0.0544979 0.0720590i
\(351\) −10.4914 + 10.7354i −0.559991 + 0.573012i
\(352\) −11.1729 + 20.7940i −0.595517 + 1.10833i
\(353\) −21.5167 −1.14522 −0.572608 0.819829i \(-0.694068\pi\)
−0.572608 + 0.819829i \(0.694068\pi\)
\(354\) −15.4190 + 19.9639i −0.819509 + 1.06107i
\(355\) −4.71832 + 23.7206i −0.250423 + 1.25896i
\(356\) −1.22649 + 0.144082i −0.0650039 + 0.00763635i
\(357\) 21.0939 + 7.07041i 1.11641 + 0.374206i
\(358\) −7.76432 16.0255i −0.410357 0.846975i
\(359\) −2.14876 5.18756i −0.113407 0.273789i 0.856978 0.515354i \(-0.172339\pi\)
−0.970385 + 0.241565i \(0.922339\pi\)
\(360\) −12.7654 14.9521i −0.672795 0.788044i
\(361\) 2.18931 5.28547i 0.115227 0.278183i
\(362\) 0.423256 + 7.23066i 0.0222459 + 0.380035i
\(363\) −9.94368 + 4.95112i −0.521908 + 0.259867i
\(364\) −12.1630 14.2661i −0.637513 0.747749i
\(365\) 21.8620 14.6077i 1.14431 0.764602i
\(366\) −26.8102 7.27435i −1.40139 0.380236i
\(367\) −4.28731 + 4.28731i −0.223796 + 0.223796i −0.810095 0.586299i \(-0.800584\pi\)
0.586299 + 0.810095i \(0.300584\pi\)
\(368\) −2.10742 + 1.52553i −0.109857 + 0.0795237i
\(369\) 19.6510 + 5.10444i 1.02299 + 0.265726i
\(370\) 9.13332 2.37906i 0.474819 0.123682i
\(371\) 31.3770 20.9655i 1.62901 1.08847i
\(372\) −16.8650 3.53263i −0.874411 0.183158i
\(373\) 28.9697 5.76243i 1.49999 0.298367i 0.624281 0.781199i \(-0.285392\pi\)
0.875713 + 0.482832i \(0.160392\pi\)
\(374\) −17.4553 15.5248i −0.902594 0.802768i
\(375\) 18.4375 + 2.35553i 0.952109 + 0.121639i
\(376\) 19.6035 7.64317i 1.01097 0.394166i
\(377\) 2.70096 + 6.52070i 0.139107 + 0.335833i
\(378\) −21.3377 + 10.6426i −1.09749 + 0.547394i
\(379\) −8.10951 + 12.1367i −0.416557 + 0.623422i −0.979108 0.203341i \(-0.934820\pi\)
0.562551 + 0.826763i \(0.309820\pi\)
\(380\) −6.27329 + 22.1695i −0.321813 + 1.13727i
\(381\) −0.306167 4.41216i −0.0156854 0.226042i
\(382\) 0.983902 7.09066i 0.0503408 0.362790i
\(383\) −27.7233 −1.41660 −0.708298 0.705913i \(-0.750537\pi\)
−0.708298 + 0.705913i \(0.750537\pi\)
\(384\) 15.2997 12.2442i 0.780759 0.624833i
\(385\) 31.3727 1.59890
\(386\) −2.33784 + 16.8480i −0.118993 + 0.857542i
\(387\) 27.3846 9.53041i 1.39204 0.484458i
\(388\) 6.87631 24.3006i 0.349092 1.23367i
\(389\) 4.41601 6.60903i 0.223901 0.335091i −0.702464 0.711720i \(-0.747917\pi\)
0.926364 + 0.376628i \(0.122917\pi\)
\(390\) −16.3564 1.12380i −0.828240 0.0569061i
\(391\) −0.985255 2.37862i −0.0498265 0.120292i
\(392\) −3.62576 9.29951i −0.183129 0.469696i
\(393\) 1.98347 15.5253i 0.100053 0.783148i
\(394\) −4.97470 4.42451i −0.250622 0.222904i
\(395\) −14.6378 + 2.91164i −0.736507 + 0.146500i
\(396\) 24.9937 1.48013i 1.25598 0.0743791i
\(397\) 0.809449 0.540857i 0.0406251 0.0271448i −0.535092 0.844794i \(-0.679723\pi\)
0.575717 + 0.817649i \(0.304723\pi\)
\(398\) 1.28377 0.334397i 0.0643494 0.0167618i
\(399\) 24.2534 + 13.8791i 1.21419 + 0.694824i
\(400\) 0.233012 1.45478i 0.0116506 0.0727392i
\(401\) 4.07015 4.07015i 0.203254 0.203254i −0.598139 0.801392i \(-0.704093\pi\)
0.801392 + 0.598139i \(0.204093\pi\)
\(402\) 6.01035 22.1516i 0.299769 1.10482i
\(403\) −11.9477 + 7.98318i −0.595156 + 0.397670i
\(404\) −18.4738 21.6682i −0.919107 1.07803i
\(405\) −6.39954 + 19.8464i −0.317996 + 0.986177i
\(406\) 0.655168 + 11.1925i 0.0325155 + 0.555475i
\(407\) −4.59970 + 11.1046i −0.227998 + 0.550437i
\(408\) 8.27819 + 17.5367i 0.409832 + 0.868195i
\(409\) −6.29950 15.2083i −0.311490 0.752004i −0.999650 0.0264449i \(-0.991581\pi\)
0.688160 0.725559i \(-0.258419\pi\)
\(410\) 9.66898 + 19.9567i 0.477517 + 0.985593i
\(411\) 6.80569 20.3041i 0.335700 1.00153i
\(412\) −29.1669 + 3.42639i −1.43695 + 0.168806i
\(413\) −6.51904 + 32.7734i −0.320781 + 1.61268i
\(414\) 2.55011 + 1.05425i 0.125331 + 0.0518138i
\(415\) −29.1013 −1.42853
\(416\) 1.63713 16.2593i 0.0802670 0.797176i
\(417\) −1.98619 7.30057i −0.0972640 0.357510i
\(418\) −17.6993 23.4026i −0.865700 1.14466i
\(419\) −11.8338 2.35388i −0.578118 0.114995i −0.102634 0.994719i \(-0.532727\pi\)
−0.475484 + 0.879724i \(0.657727\pi\)
\(420\) −23.9590 10.2097i −1.16908 0.498183i
\(421\) 18.2829 27.3623i 0.891056 1.33356i −0.0512081 0.998688i \(-0.516307\pi\)
0.942264 0.334871i \(-0.108693\pi\)
\(422\) 10.5531 + 21.7816i 0.513719 + 1.06031i
\(423\) −17.8090 13.4498i −0.865901 0.653951i
\(424\) 32.1206 + 7.09146i 1.55991 + 0.344392i
\(425\) 1.34704 + 0.557960i 0.0653408 + 0.0270650i
\(426\) 8.14248 + 24.2375i 0.394504 + 1.17431i
\(427\) −36.0924 + 7.17922i −1.74663 + 0.347427i
\(428\) 1.47515 18.5372i 0.0713040 0.896030i
\(429\) 13.7065 15.7505i 0.661755 0.760444i
\(430\) 27.3157 + 16.0260i 1.31728 + 0.772841i
\(431\) 13.3435 + 13.3435i 0.642734 + 0.642734i 0.951227 0.308493i \(-0.0998245\pi\)
−0.308493 + 0.951227i \(0.599824\pi\)
\(432\) −19.5692 7.00342i −0.941522 0.336952i
\(433\) 19.3518 19.3518i 0.929990 0.929990i −0.0677147 0.997705i \(-0.521571\pi\)
0.997705 + 0.0677147i \(0.0215708\pi\)
\(434\) −22.0888 + 5.75373i −1.06030 + 0.276188i
\(435\) 7.39643 + 6.43654i 0.354632 + 0.308608i
\(436\) −3.48530 10.7585i −0.166916 0.515239i
\(437\) −0.630888 3.17169i −0.0301795 0.151723i
\(438\) 12.3728 24.8916i 0.591195 1.18937i
\(439\) −9.88264 + 23.8588i −0.471673 + 1.13872i 0.491751 + 0.870736i \(0.336357\pi\)
−0.963424 + 0.267982i \(0.913643\pi\)
\(440\) 18.9279 + 19.7377i 0.902352 + 0.940958i
\(441\) −6.38030 + 8.44821i −0.303824 + 0.402296i
\(442\) 15.2768 + 5.30499i 0.726644 + 0.252333i
\(443\) 12.6978 + 8.48437i 0.603288 + 0.403104i 0.819365 0.573272i \(-0.194326\pi\)
−0.216077 + 0.976376i \(0.569326\pi\)
\(444\) 7.12656 6.98362i 0.338212 0.331428i
\(445\) −0.279104 + 1.40315i −0.0132308 + 0.0665157i
\(446\) 1.79357 12.9257i 0.0849280 0.612048i
\(447\) 8.80668 2.39594i 0.416542 0.113324i
\(448\) 10.9294 23.5457i 0.516364 1.11243i
\(449\) 23.5103i 1.10952i 0.832010 + 0.554760i \(0.187190\pi\)
−0.832010 + 0.554760i \(0.812810\pi\)
\(450\) −1.44334 + 0.599002i −0.0680396 + 0.0282372i
\(451\) −27.6985 5.50957i −1.30427 0.259436i
\(452\) 5.97418 + 10.6895i 0.281002 + 0.502791i
\(453\) 4.01320 + 1.34518i 0.188557 + 0.0632019i
\(454\) 2.77499 7.99117i 0.130237 0.375044i
\(455\) −20.0652 + 8.31127i −0.940671 + 0.389639i
\(456\) 5.90080 + 23.6323i 0.276330 + 1.10668i
\(457\) −26.3644 10.9205i −1.23328 0.510840i −0.331669 0.943396i \(-0.607612\pi\)
−0.901607 + 0.432556i \(0.857612\pi\)
\(458\) −2.16195 1.92284i −0.101021 0.0898486i
\(459\) 11.2301 17.2324i 0.524174 0.804341i
\(460\) 0.928862 + 2.86723i 0.0433084 + 0.133685i
\(461\) −13.7238 20.5391i −0.639182 0.956603i −0.999715 0.0238571i \(-0.992405\pi\)
0.360533 0.932746i \(-0.382595\pi\)
\(462\) 28.7757 16.4930i 1.33877 0.767325i
\(463\) −14.5134 14.5134i −0.674496 0.674496i 0.284253 0.958749i \(-0.408254\pi\)
−0.958749 + 0.284253i \(0.908254\pi\)
\(464\) −6.64633 + 7.16489i −0.308548 + 0.332622i
\(465\) −9.91463 + 17.3256i −0.459780 + 0.803455i
\(466\) −8.30688 + 14.1588i −0.384809 + 0.655892i
\(467\) −5.74856 8.60333i −0.266012 0.398115i 0.674285 0.738472i \(-0.264452\pi\)
−0.940296 + 0.340357i \(0.889452\pi\)
\(468\) −15.5932 + 7.56801i −0.720798 + 0.349831i
\(469\) −5.93175 29.8209i −0.273903 1.37700i
\(470\) −1.42441 24.3338i −0.0657031 1.12243i
\(471\) 7.89866 + 1.00911i 0.363951 + 0.0464974i
\(472\) −24.5520 + 15.6716i −1.13010 + 0.721345i
\(473\) −37.2620 + 15.4344i −1.71331 + 0.709676i
\(474\) −11.8954 + 10.3659i −0.546373 + 0.476120i
\(475\) 1.52271 + 1.01744i 0.0698668 + 0.0466835i
\(476\) 20.1601 + 15.9215i 0.924039 + 0.729759i
\(477\) −11.4676 32.9510i −0.525067 1.50872i
\(478\) −14.1850 + 10.7281i −0.648807 + 0.490690i
\(479\) 29.8348i 1.36319i 0.731730 + 0.681594i \(0.238713\pi\)
−0.731730 + 0.681594i \(0.761287\pi\)
\(480\) −8.03176 21.2332i −0.366598 0.969161i
\(481\) 8.32081i 0.379396i
\(482\) 2.78187 + 3.67828i 0.126711 + 0.167541i
\(483\) 3.64665 0.253047i 0.165928 0.0115140i
\(484\) −12.7390 + 1.49651i −0.579043 + 0.0680232i
\(485\) −24.3265 16.2544i −1.10461 0.738075i
\(486\) 4.56373 + 21.5679i 0.207015 + 0.978338i
\(487\) 30.2638 12.5357i 1.37138 0.568045i 0.429219 0.903200i \(-0.358789\pi\)
0.942163 + 0.335155i \(0.108789\pi\)
\(488\) −26.2921 18.3756i −1.19019 0.831825i
\(489\) −4.19310 + 32.8208i −0.189619 + 1.48421i
\(490\) −11.5434 + 0.675711i −0.521480 + 0.0305255i
\(491\) 4.49395 + 22.5926i 0.202809 + 1.01959i 0.939288 + 0.343130i \(0.111487\pi\)
−0.736479 + 0.676460i \(0.763513\pi\)
\(492\) 19.3601 + 13.2216i 0.872820 + 0.596076i
\(493\) −5.37312 8.04145i −0.241993 0.362169i
\(494\) 17.5198 + 10.2788i 0.788254 + 0.462465i
\(495\) 7.29232 28.0739i 0.327765 1.26183i
\(496\) −16.9466 10.4255i −0.760924 0.468119i
\(497\) 23.9502 + 23.9502i 1.07431 + 1.07431i
\(498\) −26.6923 + 15.2989i −1.19611 + 0.685560i
\(499\) −0.236643 0.354162i −0.0105936 0.0158545i 0.826135 0.563472i \(-0.190535\pi\)
−0.836729 + 0.547618i \(0.815535\pi\)
\(500\) 19.1150 + 9.76057i 0.854851 + 0.436506i
\(501\) 5.87427 + 11.7977i 0.262443 + 0.527082i
\(502\) −0.670226 + 0.753570i −0.0299137 + 0.0336335i
\(503\) −24.8914 10.3103i −1.10985 0.459715i −0.248965 0.968513i \(-0.580090\pi\)
−0.860887 + 0.508797i \(0.830090\pi\)
\(504\) −27.3431 + 3.23102i −1.21796 + 0.143921i
\(505\) −30.4762 + 12.6236i −1.35617 + 0.561745i
\(506\) −3.62591 1.25912i −0.161191 0.0559748i
\(507\) 2.56234 7.64450i 0.113798 0.339504i
\(508\) 1.39052 4.91403i 0.0616943 0.218025i
\(509\) −36.0850 7.17775i −1.59944 0.318148i −0.686778 0.726867i \(-0.740976\pi\)
−0.912660 + 0.408719i \(0.865976\pi\)
\(510\) 22.2826 2.86220i 0.986692 0.126740i
\(511\) 36.8227i 1.62894i
\(512\) 21.4074 7.32962i 0.946082 0.323927i
\(513\) 18.0572 18.4771i 0.797245 0.815783i
\(514\) 30.4468 + 4.22481i 1.34295 + 0.186349i
\(515\) −6.63731 + 33.3680i −0.292475 + 1.47037i
\(516\) 33.4795 + 0.339151i 1.47385 + 0.0149303i
\(517\) 25.8110 + 17.2463i 1.13517 + 0.758493i
\(518\) 4.33596 12.4863i 0.190511 0.548616i
\(519\) −30.7202 + 23.7600i −1.34847 + 1.04295i
\(520\) −17.3347 7.60934i −0.760178 0.333692i
\(521\) 3.68944 8.90710i 0.161637 0.390227i −0.822223 0.569166i \(-0.807266\pi\)
0.983860 + 0.178939i \(0.0572663\pi\)
\(522\) 10.1679 + 2.01532i 0.445038 + 0.0882084i
\(523\) 2.43828 + 12.2581i 0.106619 + 0.536008i 0.996768 + 0.0803382i \(0.0256000\pi\)
−0.890149 + 0.455669i \(0.849400\pi\)
\(524\) 8.21888 16.0958i 0.359044 0.703149i
\(525\) −1.35894 + 1.56160i −0.0593090 + 0.0681539i
\(526\) −8.87884 34.0862i −0.387136 1.48623i
\(527\) 13.9229 13.9229i 0.606492 0.606492i
\(528\) 27.7374 + 8.15318i 1.20712 + 0.354822i
\(529\) 15.9643 + 15.9643i 0.694101 + 0.694101i
\(530\) 19.2835 32.8681i 0.837623 1.42770i
\(531\) 27.8120 + 13.4515i 1.20694 + 0.583744i
\(532\) 20.9342 + 24.5540i 0.907612 + 1.06455i
\(533\) 19.1749 3.81412i 0.830555 0.165208i
\(534\) 0.481654 + 1.43373i 0.0208432 + 0.0620434i
\(535\) −19.9031 8.24413i −0.860485 0.356425i
\(536\) 15.1826 21.7235i 0.655790 0.938314i
\(537\) −17.2516 + 13.3429i −0.744463 + 0.575791i
\(538\) 12.4043 6.00983i 0.534786 0.259102i
\(539\) 8.18131 12.2442i 0.352394 0.527395i
\(540\) −14.7052 + 19.0666i −0.632813 + 0.820496i
\(541\) −10.2116 2.03121i −0.439030 0.0873286i −0.0293740 0.999568i \(-0.509351\pi\)
−0.409656 + 0.912240i \(0.634351\pi\)
\(542\) −7.27606 + 5.50285i −0.312533 + 0.236368i
\(543\) 8.55975 2.32876i 0.367334 0.0999365i
\(544\) 2.14633 + 22.2893i 0.0920233 + 0.955644i
\(545\) −13.1012 −0.561196
\(546\) −14.0349 + 18.1718i −0.600636 + 0.777681i
\(547\) −6.50035 + 32.6794i −0.277935 + 1.39727i 0.549398 + 0.835561i \(0.314857\pi\)
−0.827333 + 0.561712i \(0.810143\pi\)
\(548\) 15.3253 19.4053i 0.654666 0.828955i
\(549\) −1.96503 + 33.9661i −0.0838656 + 1.44964i
\(550\) 1.95617 0.947759i 0.0834114 0.0404126i
\(551\) −4.64874 11.2230i −0.198043 0.478118i
\(552\) 2.35931 + 2.14157i 0.100419 + 0.0911512i
\(553\) −7.99859 + 19.3103i −0.340135 + 0.821158i
\(554\) 7.85128 0.459585i 0.333569 0.0195259i
\(555\) −5.15220 10.3475i −0.218699 0.439227i
\(556\) 0.693030 8.70885i 0.0293910 0.369337i
\(557\) −8.30981 + 5.55244i −0.352098 + 0.235264i −0.719023 0.694986i \(-0.755411\pi\)
0.366925 + 0.930250i \(0.380411\pi\)
\(558\) 0.0143751 + 21.1036i 0.000608548 + 0.893387i
\(559\) 19.7429 19.7429i 0.835038 0.835038i
\(560\) −22.0475 20.4518i −0.931675 0.864245i
\(561\) −14.2102 + 24.8321i −0.599957 + 1.04841i
\(562\) 4.96906 + 19.0764i 0.209607 + 0.804691i
\(563\) −22.7923 + 15.2293i −0.960580 + 0.641839i −0.933797 0.357802i \(-0.883526\pi\)
−0.0267829 + 0.999641i \(0.508526\pi\)
\(564\) −14.0991 21.5706i −0.593678 0.908286i
\(565\) 13.9138 2.76762i 0.585357 0.116435i
\(566\) 0.677475 0.761721i 0.0284764 0.0320175i
\(567\) 18.1309 + 22.8936i 0.761425 + 0.961439i
\(568\) −0.618211 + 29.5177i −0.0259396 + 1.23853i
\(569\) −4.41806 10.6661i −0.185215 0.447148i 0.803812 0.594883i \(-0.202802\pi\)
−0.989027 + 0.147735i \(0.952802\pi\)
\(570\) 28.1517 + 1.93423i 1.17915 + 0.0810158i
\(571\) 16.8906 25.2785i 0.706848 1.05787i −0.288112 0.957597i \(-0.593027\pi\)
0.994960 0.100276i \(-0.0319725\pi\)
\(572\) 21.0456 11.7620i 0.879961 0.491796i
\(573\) −8.74642 + 0.606928i −0.365387 + 0.0253548i
\(574\) 30.7615 + 4.26848i 1.28396 + 0.178163i
\(575\) 0.239565 0.00999054
\(576\) −18.5295 15.2532i −0.772061 0.635548i
\(577\) −8.26792 −0.344198 −0.172099 0.985080i \(-0.555055\pi\)
−0.172099 + 0.985080i \(0.555055\pi\)
\(578\) 1.86403 + 0.258653i 0.0775334 + 0.0107586i
\(579\) 20.7823 1.44211i 0.863681 0.0599322i
\(580\) 5.52343 + 9.88297i 0.229348 + 0.410368i
\(581\) −22.6425 + 33.8868i −0.939368 + 1.40586i
\(582\) −30.8579 2.12016i −1.27910 0.0878833i
\(583\) 18.5718 + 44.8362i 0.769164 + 1.85693i
\(584\) 23.1665 22.2160i 0.958636 0.919305i
\(585\) 2.77337 + 19.8872i 0.114665 + 0.822236i
\(586\) 7.64815 8.59921i 0.315942 0.355230i
\(587\) 7.10112 1.41250i 0.293095 0.0583001i −0.0463530 0.998925i \(-0.514760\pi\)
0.339448 + 0.940625i \(0.389760\pi\)
\(588\) −10.2326 + 6.68831i −0.421987 + 0.275821i
\(589\) 20.5636 13.7402i 0.847309 0.566154i
\(590\) 8.50574 + 32.6539i 0.350176 + 1.34434i
\(591\) −4.04987 + 7.07704i −0.166589 + 0.291111i
\(592\) 10.4716 4.80537i 0.430378 0.197499i
\(593\) 27.6343 27.6343i 1.13480 1.13480i 0.145436 0.989368i \(-0.453542\pi\)
0.989368 0.145436i \(-0.0464585\pi\)
\(594\) −8.07014 29.5836i −0.331122 1.21383i
\(595\) 24.7448 16.5339i 1.01444 0.677824i
\(596\) 10.5055 + 0.836002i 0.430322 + 0.0342440i
\(597\) −0.724186 1.45443i −0.0296389 0.0595259i
\(598\) 2.65260 0.155274i 0.108473 0.00634962i
\(599\) −5.09553 + 12.3017i −0.208198 + 0.502633i −0.993139 0.116936i \(-0.962693\pi\)
0.784942 + 0.619569i \(0.212693\pi\)
\(600\) −1.80234 + 0.0871928i −0.0735802 + 0.00355963i
\(601\) 3.00015 + 7.24300i 0.122379 + 0.295448i 0.973182 0.230036i \(-0.0738843\pi\)
−0.850804 + 0.525484i \(0.823884\pi\)
\(602\) 39.9145 19.3385i 1.62679 0.788177i
\(603\) −28.0641 1.62359i −1.14286 0.0661175i
\(604\) 3.83555 + 3.02912i 0.156066 + 0.123253i
\(605\) −2.89891 + 14.5738i −0.117858 + 0.592510i
\(606\) −21.3169 + 27.6003i −0.865941 + 1.12119i
\(607\) −13.5334 −0.549305 −0.274653 0.961544i \(-0.588563\pi\)
−0.274653 + 0.961544i \(0.588563\pi\)
\(608\) −2.81773 + 27.9845i −0.114274 + 1.13492i
\(609\) 13.2498 3.60474i 0.536910 0.146071i
\(610\) −29.6388 + 22.4157i −1.20004 + 0.907584i
\(611\) −21.0769 4.19247i −0.852682 0.169609i
\(612\) 18.9334 14.3395i 0.765337 0.579641i
\(613\) −21.9463 + 32.8449i −0.886401 + 1.32659i 0.0581776 + 0.998306i \(0.481471\pi\)
−0.944578 + 0.328286i \(0.893529\pi\)
\(614\) 8.41846 4.07872i 0.339741 0.164604i
\(615\) 21.4836 16.6161i 0.866303 0.670026i
\(616\) 37.7104 6.68343i 1.51940 0.269283i
\(617\) −3.92159 1.62438i −0.157877 0.0653949i 0.302345 0.953198i \(-0.402230\pi\)
−0.460223 + 0.887804i \(0.652230\pi\)
\(618\) 11.4541 + 34.0951i 0.460751 + 1.37151i
\(619\) 22.0446 4.38494i 0.886047 0.176246i 0.268970 0.963149i \(-0.413317\pi\)
0.617077 + 0.786903i \(0.288317\pi\)
\(620\) −17.5404 + 14.9545i −0.704438 + 0.600587i
\(621\) 0.621193 3.32203i 0.0249276 0.133308i
\(622\) −3.32858 + 5.67344i −0.133464 + 0.227484i
\(623\) 1.41673 + 1.41673i 0.0567602 + 0.0567602i
\(624\) −19.9001 + 2.13364i −0.796641 + 0.0854138i
\(625\) 18.8840 18.8840i 0.755359 0.755359i
\(626\) −2.90067 11.1358i −0.115934 0.445076i
\(627\) −23.5908 + 27.1089i −0.942125 + 1.08263i
\(628\) 8.18891 + 4.18144i 0.326773 + 0.166858i
\(629\) 2.22438 + 11.1827i 0.0886920 + 0.445885i
\(630\) −6.20146 + 31.2882i −0.247072 + 1.24655i
\(631\) −2.86253 + 6.91077i −0.113956 + 0.275113i −0.970560 0.240861i \(-0.922570\pi\)
0.856604 + 0.515975i \(0.172570\pi\)
\(632\) −16.9745 + 6.61816i −0.675211 + 0.263256i
\(633\) 23.4481 18.1355i 0.931980 0.720823i
\(634\) 15.3189 44.1139i 0.608390 1.75198i
\(635\) −4.91926 3.28695i −0.195215 0.130438i
\(636\) 0.408090 40.2848i 0.0161818 1.59740i
\(637\) −1.98882 + 9.99847i −0.0787999 + 0.396154i
\(638\) −14.2816 1.98172i −0.565414 0.0784571i
\(639\) 26.9989 15.8649i 1.06806 0.627604i
\(640\) −0.434815 26.2099i −0.0171876 1.03604i
\(641\) 16.6789i 0.658776i 0.944195 + 0.329388i \(0.106842\pi\)
−0.944195 + 0.329388i \(0.893158\pi\)
\(642\) −22.5895 + 2.90162i −0.891538 + 0.114518i
\(643\) 7.15402 + 1.42302i 0.282127 + 0.0561185i 0.334125 0.942529i \(-0.391559\pi\)
−0.0519984 + 0.998647i \(0.516559\pi\)
\(644\) 4.06144 + 1.14926i 0.160043 + 0.0452873i
\(645\) 12.3270 36.7765i 0.485376 1.44807i
\(646\) −26.2936 9.13064i −1.03451 0.359240i
\(647\) 33.9198 14.0501i 1.33353 0.552364i 0.401867 0.915698i \(-0.368361\pi\)
0.931659 + 0.363334i \(0.118361\pi\)
\(648\) −3.46439 + 25.2190i −0.136094 + 0.990696i
\(649\) −39.7019 16.4451i −1.55844 0.645525i
\(650\) −1.00004 + 1.12439i −0.0392246 + 0.0441023i
\(651\) 12.4605 + 25.0253i 0.488367 + 0.980820i
\(652\) −17.3749 + 34.0269i −0.680454 + 1.33260i
\(653\) −1.13880 1.70434i −0.0445647 0.0666958i 0.808518 0.588471i \(-0.200270\pi\)
−0.853083 + 0.521775i \(0.825270\pi\)
\(654\) −12.0167 + 6.88749i −0.469891 + 0.269322i
\(655\) −14.8047 14.8047i −0.578468 0.578468i
\(656\) 15.8737 + 21.9285i 0.619764 + 0.856162i
\(657\) −32.9508 8.55912i −1.28553 0.333923i
\(658\) −29.4436 17.2744i −1.14783 0.673427i
\(659\) −16.5898 24.8284i −0.646247 0.967176i −0.999499 0.0316483i \(-0.989924\pi\)
0.353253 0.935528i \(-0.385076\pi\)
\(660\) 18.8887 27.6583i 0.735242 1.07660i
\(661\) 8.45568 + 42.5096i 0.328888 + 1.65343i 0.692157 + 0.721747i \(0.256660\pi\)
−0.363269 + 0.931684i \(0.618340\pi\)
\(662\) −16.1391 + 0.944726i −0.627265 + 0.0367178i
\(663\) 2.50999 19.6465i 0.0974799 0.763008i
\(664\) −34.9801 + 6.19954i −1.35749 + 0.240589i
\(665\) 34.5350 14.3049i 1.33921 0.554719i
\(666\) −10.1655 6.78237i −0.393906 0.262811i
\(667\) −1.32128 0.882848i −0.0511600 0.0341840i
\(668\) 1.77554 + 15.1142i 0.0686977 + 0.584784i
\(669\) −15.9440 + 1.10638i −0.616430 + 0.0427750i
\(670\) −18.5207 24.4887i −0.715517 0.946080i
\(671\) 47.3249i 1.82696i
\(672\) −30.9741 7.16814i −1.19485 0.276517i
\(673\) 48.0915i 1.85379i −0.375320 0.926895i \(-0.622467\pi\)
0.375320 0.926895i \(-0.377533\pi\)
\(674\) 18.5031 13.9938i 0.712712 0.539021i
\(675\) 1.08153 + 1.57903i 0.0416280 + 0.0607769i
\(676\) 5.76999 7.30610i 0.221923 0.281004i
\(677\) −15.2628 10.1983i −0.586596 0.391951i 0.226560 0.973997i \(-0.427252\pi\)
−0.813155 + 0.582047i \(0.802252\pi\)
\(678\) 11.3070 9.85316i 0.434243 0.378408i
\(679\) −37.8548 + 15.6800i −1.45273 + 0.601741i
\(680\) 25.3312 + 5.59251i 0.971406 + 0.214463i
\(681\) −10.2769 1.31295i −0.393812 0.0503124i
\(682\) −1.71537 29.3044i −0.0656851 1.12212i
\(683\) −1.49353 7.50848i −0.0571484 0.287304i 0.941634 0.336638i \(-0.109290\pi\)
−0.998782 + 0.0493343i \(0.984290\pi\)
\(684\) 26.8382 13.0256i 1.02618 0.498046i
\(685\) −15.9149 23.8183i −0.608076 0.910050i
\(686\) 8.06025 13.7384i 0.307742 0.524535i
\(687\) −1.76003 + 3.07561i −0.0671492 + 0.117342i
\(688\) 36.2479 + 13.4443i 1.38194 + 0.512559i
\(689\) −23.7560 23.7560i −0.905033 0.905033i
\(690\) 3.20256 1.83557i 0.121919 0.0698791i
\(691\) −18.6738 27.9473i −0.710385 1.06317i −0.994537 0.104387i \(-0.966712\pi\)
0.284152 0.958779i \(-0.408288\pi\)
\(692\) −42.6616 + 13.8206i −1.62175 + 0.525379i
\(693\) −27.0167 30.3346i −1.02628 1.15232i
\(694\) −22.9043 20.3711i −0.869435 0.773277i
\(695\) −9.35053 3.87312i −0.354686 0.146916i
\(696\) 10.2618 + 6.16112i 0.388973 + 0.233537i
\(697\) −24.7504 + 10.2520i −0.937488 + 0.388320i
\(698\) −2.14879 + 6.18790i −0.0813330 + 0.234215i
\(699\) 19.0627 + 6.38957i 0.721016 + 0.241676i
\(700\) −2.08658 + 1.16616i −0.0788655 + 0.0440766i
\(701\) −2.11361 0.420423i −0.0798300 0.0158792i 0.155014 0.987912i \(-0.450458\pi\)
−0.234844 + 0.972033i \(0.575458\pi\)
\(702\) 12.9988 + 16.7830i 0.490607 + 0.633433i
\(703\) 14.3213i 0.540137i
\(704\) 26.9564 + 19.6927i 1.01596 + 0.742197i
\(705\) −28.8066 + 7.83711i −1.08492 + 0.295163i
\(706\) −4.18229 + 30.1404i −0.157402 + 1.13435i
\(707\) −9.01266 + 45.3097i −0.338956 + 1.70405i
\(708\) 24.9682 + 25.4792i 0.938362 + 0.957568i
\(709\) −4.72322 3.15596i −0.177384 0.118524i 0.463708 0.885988i \(-0.346519\pi\)
−0.641093 + 0.767463i \(0.721519\pi\)
\(710\) 32.3105 + 11.2201i 1.21259 + 0.421082i
\(711\) 15.4206 + 11.6461i 0.578319 + 0.436761i
\(712\) −0.0365692 + 1.74606i −0.00137049 + 0.0654365i
\(713\) 1.23807 2.98896i 0.0463660 0.111937i
\(714\) 14.0043 28.1739i 0.524098 1.05438i
\(715\) −5.44894 27.3937i −0.203779 1.02446i
\(716\) −23.9576 + 7.76125i −0.895338 + 0.290051i
\(717\) 16.4315 + 14.2991i 0.613647 + 0.534009i
\(718\) −7.68436 + 2.00163i −0.286778 + 0.0747003i
\(719\) −11.1322 + 11.1322i −0.415162 + 0.415162i −0.883532 0.468370i \(-0.844841\pi\)
0.468370 + 0.883532i \(0.344841\pi\)
\(720\) −23.4260 + 14.9754i −0.873036 + 0.558098i
\(721\) 33.6910 + 33.6910i 1.25472 + 1.25472i
\(722\) −6.97830 4.09413i −0.259705 0.152368i
\(723\) 3.70786 4.26082i 0.137897 0.158462i
\(724\) 10.2109 + 0.812561i 0.379486 + 0.0301986i
\(725\) 0.882624 0.175565i 0.0327798 0.00652031i
\(726\) 5.00270 + 14.8914i 0.185668 + 0.552671i
\(727\) 33.9556 + 14.0649i 1.25934 + 0.521638i 0.909708 0.415248i \(-0.136305\pi\)
0.349636 + 0.936886i \(0.386305\pi\)
\(728\) −22.3481 + 14.2648i −0.828274 + 0.528690i
\(729\) 24.7007 10.9030i 0.914841 0.403815i
\(730\) −16.2130 33.4635i −0.600068 1.23854i
\(731\) −21.2557 + 31.8113i −0.786169 + 1.17659i
\(732\) −15.4011 + 36.1416i −0.569240 + 1.33583i
\(733\) 6.42826 + 1.27866i 0.237433 + 0.0472284i 0.312372 0.949960i \(-0.398876\pi\)
−0.0749393 + 0.997188i \(0.523876\pi\)
\(734\) 5.17228 + 6.83897i 0.190912 + 0.252431i
\(735\) 3.71776 + 13.6653i 0.137132 + 0.504051i
\(736\) 1.72732 + 3.24857i 0.0636699 + 0.119744i
\(737\) 39.1016 1.44033
\(738\) 10.9699 26.5348i 0.403808 0.976760i
\(739\) 3.47464 17.4682i 0.127817 0.642578i −0.862759 0.505615i \(-0.831266\pi\)
0.990576 0.136963i \(-0.0437343\pi\)
\(740\) −1.55729 13.2563i −0.0572470 0.487312i
\(741\) 7.90636 23.5879i 0.290447 0.866521i
\(742\) −23.2694 48.0278i −0.854245 1.76316i
\(743\) 6.33718 + 15.2993i 0.232489 + 0.561277i 0.996469 0.0839623i \(-0.0267575\pi\)
−0.763980 + 0.645240i \(0.776758\pi\)
\(744\) −8.22660 + 22.9377i −0.301602 + 0.840939i
\(745\) 4.67215 11.2796i 0.171174 0.413251i
\(746\) −2.44100 41.7006i −0.0893714 1.52677i
\(747\) 25.0606 + 28.1383i 0.916920 + 1.02953i
\(748\) −25.1399 + 21.4337i −0.919205 + 0.783692i
\(749\) −25.0856 + 16.7616i −0.916607 + 0.612457i
\(750\) 6.88338 25.3693i 0.251346 0.926354i
\(751\) 11.9562 11.9562i 0.436287 0.436287i −0.454473 0.890760i \(-0.650173\pi\)
0.890760 + 0.454473i \(0.150173\pi\)
\(752\) −6.89607 28.9461i −0.251474 1.05556i
\(753\) 1.07203 + 0.613475i 0.0390671 + 0.0223563i
\(754\) 9.65915 2.51603i 0.351765 0.0916284i
\(755\) 4.70779 3.14565i 0.171334 0.114482i
\(756\) 10.7605 + 31.9584i 0.391356 + 1.16231i
\(757\) −22.8535 + 4.54585i −0.830626 + 0.165222i −0.592049 0.805902i \(-0.701681\pi\)
−0.238577 + 0.971124i \(0.576681\pi\)
\(758\) 15.4248 + 13.7188i 0.560253 + 0.498289i
\(759\) −0.595738 + 4.66304i −0.0216239 + 0.169258i
\(760\) 29.8355 + 13.0968i 1.08225 + 0.475069i
\(761\) 14.6147 + 35.2831i 0.529784 + 1.27901i 0.931665 + 0.363319i \(0.118357\pi\)
−0.401881 + 0.915692i \(0.631643\pi\)
\(762\) −6.24003 0.428735i −0.226053 0.0155314i
\(763\) −10.1935 + 15.2557i −0.369030 + 0.552293i
\(764\) −9.74129 2.75648i −0.352428 0.0997261i
\(765\) −9.04368 25.9860i −0.326975 0.939527i
\(766\) −5.38871 + 38.8346i −0.194702 + 1.40315i
\(767\) 29.7490 1.07417
\(768\) −14.1777 23.8116i −0.511593 0.859228i
\(769\) 44.5342 1.60594 0.802972 0.596017i \(-0.203251\pi\)
0.802972 + 0.596017i \(0.203251\pi\)
\(770\) 6.09805 43.9467i 0.219759 1.58373i
\(771\) −2.60611 37.5566i −0.0938568 1.35257i
\(772\) 23.1462 + 6.54965i 0.833048 + 0.235727i
\(773\) −22.6089 + 33.8367i −0.813187 + 1.21702i 0.160026 + 0.987113i \(0.448842\pi\)