Properties

Label 384.2.w.a.11.46
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.46
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.46

$q$-expansion

\(f(q)\) \(=\) \(q+(1.02490 + 0.974463i) q^{2} +(-1.02625 + 1.39529i) q^{3} +(0.100842 + 1.99746i) q^{4} +(1.18082 + 0.631161i) q^{5} +(-2.41145 + 0.429990i) q^{6} +(4.72705 + 0.940268i) q^{7} +(-1.84309 + 2.14546i) q^{8} +(-0.893641 - 2.86381i) q^{9} +O(q^{10})\) \(q+(1.02490 + 0.974463i) q^{2} +(-1.02625 + 1.39529i) q^{3} +(0.100842 + 1.99746i) q^{4} +(1.18082 + 0.631161i) q^{5} +(-2.41145 + 0.429990i) q^{6} +(4.72705 + 0.940268i) q^{7} +(-1.84309 + 2.14546i) q^{8} +(-0.893641 - 2.86381i) q^{9} +(0.595179 + 1.79754i) q^{10} +(2.00468 - 1.64520i) q^{11} +(-2.89051 - 1.90918i) q^{12} +(-2.66435 + 1.42412i) q^{13} +(3.92850 + 5.57002i) q^{14} +(-2.09246 + 0.999853i) q^{15} +(-3.97966 + 0.402855i) q^{16} +(-0.706373 + 0.292589i) q^{17} +(1.87478 - 3.80594i) q^{18} +(0.347855 - 1.14672i) q^{19} +(-1.14164 + 2.42228i) q^{20} +(-6.16305 + 5.63063i) q^{21} +(3.65779 + 0.267323i) q^{22} +(-7.23454 - 4.83397i) q^{23} +(-1.10206 - 4.77341i) q^{24} +(-1.78188 - 2.66677i) q^{25} +(-4.11844 - 1.13672i) q^{26} +(4.91293 + 1.69209i) q^{27} +(-1.40146 + 9.53689i) q^{28} +(-0.806075 - 0.661529i) q^{29} +(-3.11888 - 1.01428i) q^{30} +(4.36685 - 4.36685i) q^{31} +(-4.47132 - 3.46515i) q^{32} +(0.238228 + 4.48549i) q^{33} +(-1.00908 - 0.388460i) q^{34} +(4.98833 + 4.09381i) q^{35} +(5.63022 - 2.07380i) q^{36} +(3.22856 + 10.6431i) q^{37} +(1.47396 - 0.836307i) q^{38} +(0.747216 - 5.17902i) q^{39} +(-3.53049 + 1.37011i) q^{40} +(-0.972588 - 0.649862i) q^{41} +(-11.8034 - 0.234831i) q^{42} +(0.495666 - 5.03258i) q^{43} +(3.48838 + 3.83836i) q^{44} +(0.752297 - 3.94567i) q^{45} +(-2.70416 - 12.0041i) q^{46} +(6.98651 - 2.89391i) q^{47} +(3.52201 - 5.96619i) q^{48} +(14.9937 + 6.21060i) q^{49} +(0.772423 - 4.46956i) q^{50} +(0.316666 - 1.28586i) q^{51} +(-3.11330 - 5.17830i) q^{52} +(-7.86417 + 6.45395i) q^{53} +(3.38638 + 6.52169i) q^{54} +(3.40556 - 0.677407i) q^{55} +(-10.7297 + 8.40869i) q^{56} +(1.24302 + 1.66218i) q^{57} +(-0.181511 - 1.46349i) q^{58} +(5.66199 + 3.02640i) q^{59} +(-2.20817 - 4.07877i) q^{60} +(-0.987848 - 10.0298i) q^{61} +(8.73093 - 0.220251i) q^{62} +(-1.53153 - 14.3776i) q^{63} +(-1.20600 - 7.90858i) q^{64} -4.04496 q^{65} +(-4.12678 + 4.82932i) q^{66} +(-7.67658 + 0.756077i) q^{67} +(-0.655666 - 1.38144i) q^{68} +(14.1692 - 5.13341i) q^{69} +(1.12327 + 9.05669i) q^{70} +(13.5934 + 2.70389i) q^{71} +(7.79126 + 3.36100i) q^{72} +(-1.05096 - 5.28356i) q^{73} +(-7.06240 + 14.0543i) q^{74} +(5.54956 + 0.250532i) q^{75} +(2.32561 + 0.579187i) q^{76} +(11.0232 - 5.89201i) q^{77} +(5.81259 - 4.57985i) q^{78} +(0.541135 - 1.30642i) q^{79} +(-4.95353 - 2.03611i) q^{80} +(-7.40281 + 5.11843i) q^{81} +(-0.363539 - 1.61380i) q^{82} +(-3.23156 + 10.6530i) q^{83} +(-11.8684 - 11.7426i) q^{84} +(-1.01877 - 0.100340i) q^{85} +(5.41207 - 4.67488i) q^{86} +(1.75025 - 0.445814i) q^{87} +(-0.165108 + 7.33324i) q^{88} +(-0.415249 - 0.621464i) q^{89} +(4.61594 - 3.31084i) q^{90} +(-13.9335 + 4.22669i) q^{91} +(8.92609 - 14.9381i) q^{92} +(1.61154 + 10.5745i) q^{93} +(9.98048 + 3.84213i) q^{94} +(1.13452 - 1.13452i) q^{95} +(9.42355 - 2.68268i) q^{96} +(-11.2498 - 11.2498i) q^{97} +(9.31506 + 20.9761i) q^{98} +(-6.50301 - 4.27082i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.02490 + 0.974463i 0.724714 + 0.689050i
\(3\) −1.02625 + 1.39529i −0.592503 + 0.805568i
\(4\) 0.100842 + 1.99746i 0.0504210 + 0.998728i
\(5\) 1.18082 + 0.631161i 0.528078 + 0.282264i 0.713813 0.700336i \(-0.246967\pi\)
−0.185735 + 0.982600i \(0.559467\pi\)
\(6\) −2.41145 + 0.429990i −0.984472 + 0.175543i
\(7\) 4.72705 + 0.940268i 1.78666 + 0.355388i 0.973858 0.227158i \(-0.0729434\pi\)
0.812798 + 0.582546i \(0.197943\pi\)
\(8\) −1.84309 + 2.14546i −0.651632 + 0.758535i
\(9\) −0.893641 2.86381i −0.297880 0.954603i
\(10\) 0.595179 + 1.79754i 0.188212 + 0.568433i
\(11\) 2.00468 1.64520i 0.604435 0.496047i −0.281682 0.959508i \(-0.590892\pi\)
0.886118 + 0.463461i \(0.153392\pi\)
\(12\) −2.89051 1.90918i −0.834418 0.551132i
\(13\) −2.66435 + 1.42412i −0.738957 + 0.394981i −0.797512 0.603304i \(-0.793851\pi\)
0.0585550 + 0.998284i \(0.481351\pi\)
\(14\) 3.92850 + 5.57002i 1.04993 + 1.48865i
\(15\) −2.09246 + 0.999853i −0.540271 + 0.258161i
\(16\) −3.97966 + 0.402855i −0.994915 + 0.100714i
\(17\) −0.706373 + 0.292589i −0.171321 + 0.0709633i −0.466695 0.884418i \(-0.654556\pi\)
0.295375 + 0.955381i \(0.404556\pi\)
\(18\) 1.87478 3.80594i 0.441891 0.897069i
\(19\) 0.347855 1.14672i 0.0798034 0.263077i −0.907955 0.419068i \(-0.862357\pi\)
0.987758 + 0.155991i \(0.0498570\pi\)
\(20\) −1.14164 + 2.42228i −0.255278 + 0.541639i
\(21\) −6.16305 + 5.63063i −1.34489 + 1.22870i
\(22\) 3.65779 + 0.267323i 0.779844 + 0.0569935i
\(23\) −7.23454 4.83397i −1.50851 1.00795i −0.988062 0.154056i \(-0.950766\pi\)
−0.520444 0.853896i \(-0.674234\pi\)
\(24\) −1.10206 4.77341i −0.224957 0.974369i
\(25\) −1.78188 2.66677i −0.356376 0.533355i
\(26\) −4.11844 1.13672i −0.807693 0.222930i
\(27\) 4.91293 + 1.69209i 0.945493 + 0.325642i
\(28\) −1.40146 + 9.53689i −0.264851 + 1.80230i
\(29\) −0.806075 0.661529i −0.149684 0.122843i 0.556571 0.830800i \(-0.312117\pi\)
−0.706255 + 0.707957i \(0.749617\pi\)
\(30\) −3.11888 1.01428i −0.569427 0.185180i
\(31\) 4.36685 4.36685i 0.784310 0.784310i −0.196245 0.980555i \(-0.562875\pi\)
0.980555 + 0.196245i \(0.0628748\pi\)
\(32\) −4.47132 3.46515i −0.790426 0.612558i
\(33\) 0.238228 + 4.48549i 0.0414701 + 0.780823i
\(34\) −1.00908 0.388460i −0.173056 0.0666203i
\(35\) 4.98833 + 4.09381i 0.843181 + 0.691981i
\(36\) 5.63022 2.07380i 0.938370 0.345633i
\(37\) 3.22856 + 10.6431i 0.530772 + 1.74972i 0.653140 + 0.757237i \(0.273451\pi\)
−0.122368 + 0.992485i \(0.539049\pi\)
\(38\) 1.47396 0.836307i 0.239108 0.135667i
\(39\) 0.747216 5.17902i 0.119650 0.829307i
\(40\) −3.53049 + 1.37011i −0.558220 + 0.216634i
\(41\) −0.972588 0.649862i −0.151893 0.101491i 0.477301 0.878740i \(-0.341615\pi\)
−0.629194 + 0.777248i \(0.716615\pi\)
\(42\) −11.8034 0.234831i −1.82130 0.0362353i
\(43\) 0.495666 5.03258i 0.0755883 0.767461i −0.880434 0.474168i \(-0.842749\pi\)
0.956023 0.293293i \(-0.0947511\pi\)
\(44\) 3.48838 + 3.83836i 0.525892 + 0.578655i
\(45\) 0.752297 3.94567i 0.112146 0.588186i
\(46\) −2.70416 12.0041i −0.398707 1.76991i
\(47\) 6.98651 2.89391i 1.01909 0.422120i 0.190325 0.981721i \(-0.439046\pi\)
0.828762 + 0.559602i \(0.189046\pi\)
\(48\) 3.52201 5.96619i 0.508359 0.861145i
\(49\) 14.9937 + 6.21060i 2.14196 + 0.887228i
\(50\) 0.772423 4.46956i 0.109237 0.632091i
\(51\) 0.316666 1.28586i 0.0443422 0.180056i
\(52\) −3.11330 5.17830i −0.431737 0.718101i
\(53\) −7.86417 + 6.45395i −1.08023 + 0.886519i −0.993959 0.109753i \(-0.964994\pi\)
−0.0862675 + 0.996272i \(0.527494\pi\)
\(54\) 3.38638 + 6.52169i 0.460828 + 0.887489i
\(55\) 3.40556 0.677407i 0.459205 0.0913416i
\(56\) −10.7297 + 8.40869i −1.43382 + 1.12366i
\(57\) 1.24302 + 1.66218i 0.164642 + 0.220161i
\(58\) −0.181511 1.46349i −0.0238336 0.192166i
\(59\) 5.66199 + 3.02640i 0.737129 + 0.394003i 0.796823 0.604213i \(-0.206512\pi\)
−0.0596940 + 0.998217i \(0.519012\pi\)
\(60\) −2.20817 4.07877i −0.285074 0.526567i
\(61\) −0.987848 10.0298i −0.126481 1.28418i −0.823577 0.567205i \(-0.808025\pi\)
0.697096 0.716978i \(-0.254475\pi\)
\(62\) 8.73093 0.220251i 1.10883 0.0279719i
\(63\) −1.53153 14.3776i −0.192955 1.81141i
\(64\) −1.20600 7.90858i −0.150750 0.988572i
\(65\) −4.04496 −0.501716
\(66\) −4.12678 + 4.82932i −0.507972 + 0.594448i
\(67\) −7.67658 + 0.756077i −0.937843 + 0.0923695i −0.555376 0.831600i \(-0.687426\pi\)
−0.382467 + 0.923969i \(0.624926\pi\)
\(68\) −0.655666 1.38144i −0.0795112 0.167525i
\(69\) 14.1692 5.13341i 1.70577 0.617990i
\(70\) 1.12327 + 9.05669i 0.134256 + 1.08248i
\(71\) 13.5934 + 2.70389i 1.61324 + 0.320893i 0.917602 0.397501i \(-0.130122\pi\)
0.695637 + 0.718394i \(0.255122\pi\)
\(72\) 7.79126 + 3.36100i 0.918208 + 0.396098i
\(73\) −1.05096 5.28356i −0.123006 0.618394i −0.992275 0.124055i \(-0.960410\pi\)
0.869269 0.494339i \(-0.164590\pi\)
\(74\) −7.06240 + 14.0543i −0.820987 + 1.63378i
\(75\) 5.54956 + 0.250532i 0.640808 + 0.0289289i
\(76\) 2.32561 + 0.579187i 0.266766 + 0.0664374i
\(77\) 11.0232 5.89201i 1.25621 0.671456i
\(78\) 5.81259 4.57985i 0.658146 0.518566i
\(79\) 0.541135 1.30642i 0.0608825 0.146983i −0.890511 0.454962i \(-0.849653\pi\)
0.951393 + 0.307979i \(0.0996527\pi\)
\(80\) −4.95353 2.03611i −0.553821 0.227644i
\(81\) −7.40281 + 5.11843i −0.822535 + 0.568715i
\(82\) −0.363539 1.61380i −0.0401461 0.178214i
\(83\) −3.23156 + 10.6530i −0.354709 + 1.16932i 0.580212 + 0.814465i \(0.302970\pi\)
−0.934921 + 0.354855i \(0.884530\pi\)
\(84\) −11.8684 11.7426i −1.29495 1.28123i
\(85\) −1.01877 0.100340i −0.110501 0.0108834i
\(86\) 5.41207 4.67488i 0.583598 0.504105i
\(87\) 1.75025 0.445814i 0.187647 0.0477962i
\(88\) −0.165108 + 7.33324i −0.0176006 + 0.781725i
\(89\) −0.415249 0.621464i −0.0440163 0.0658750i 0.808809 0.588072i \(-0.200113\pi\)
−0.852825 + 0.522197i \(0.825113\pi\)
\(90\) 4.61594 3.31084i 0.486563 0.348993i
\(91\) −13.9335 + 4.22669i −1.46063 + 0.443078i
\(92\) 8.92609 14.9381i 0.930609 1.55741i
\(93\) 1.61154 + 10.5745i 0.167109 + 1.09652i
\(94\) 9.98048 + 3.84213i 1.02941 + 0.396285i
\(95\) 1.13452 1.13452i 0.116399 0.116399i
\(96\) 9.42355 2.68268i 0.961787 0.273800i
\(97\) −11.2498 11.2498i −1.14224 1.14224i −0.988039 0.154204i \(-0.950719\pi\)
−0.154204 0.988039i \(-0.549281\pi\)
\(98\) 9.31506 + 20.9761i 0.940963 + 2.11890i
\(99\) −6.50301 4.27082i −0.653577 0.429233i
\(100\) 5.14708 3.82815i 0.514708 0.382815i
\(101\) −0.219607 0.723949i −0.0218518 0.0720356i 0.945336 0.326097i \(-0.105734\pi\)
−0.967188 + 0.254061i \(0.918234\pi\)
\(102\) 1.57757 1.00930i 0.156203 0.0999354i
\(103\) 3.36578 2.24894i 0.331640 0.221595i −0.378590 0.925564i \(-0.623591\pi\)
0.710230 + 0.703970i \(0.248591\pi\)
\(104\) 1.85524 8.34104i 0.181922 0.817906i
\(105\) −10.8313 + 2.75888i −1.05702 + 0.269239i
\(106\) −14.3491 1.04868i −1.39371 0.101857i
\(107\) −0.986589 + 10.0170i −0.0953771 + 0.968380i 0.821767 + 0.569824i \(0.192989\pi\)
−0.917144 + 0.398556i \(0.869511\pi\)
\(108\) −2.88444 + 9.98399i −0.277556 + 0.960710i
\(109\) 2.77093 + 0.840554i 0.265407 + 0.0805105i 0.420184 0.907439i \(-0.361966\pi\)
−0.154776 + 0.987950i \(0.549466\pi\)
\(110\) 4.15046 + 2.62432i 0.395731 + 0.250219i
\(111\) −18.1635 6.41771i −1.72400 0.609142i
\(112\) −19.1908 1.83764i −1.81336 0.173640i
\(113\) −5.57654 2.30988i −0.524596 0.217295i 0.104638 0.994510i \(-0.466632\pi\)
−0.629235 + 0.777215i \(0.716632\pi\)
\(114\) −0.345757 + 2.91485i −0.0323831 + 0.273001i
\(115\) −5.49167 10.2742i −0.512101 0.958074i
\(116\) 1.24009 1.67681i 0.115139 0.155688i
\(117\) 6.45938 + 6.35753i 0.597170 + 0.587753i
\(118\) 2.85386 + 8.61916i 0.262720 + 0.793458i
\(119\) −3.61417 + 0.718903i −0.331310 + 0.0659017i
\(120\) 1.71146 6.33211i 0.156234 0.578040i
\(121\) −0.833923 + 4.19242i −0.0758112 + 0.381129i
\(122\) 8.76122 11.2422i 0.793203 1.01782i
\(123\) 1.90486 0.690119i 0.171755 0.0622259i
\(124\) 9.16296 + 8.28223i 0.822858 + 0.743767i
\(125\) −1.07710 10.9360i −0.0963387 0.978144i
\(126\) 12.4408 16.2281i 1.10831 1.44571i
\(127\) 11.8996i 1.05592i 0.849270 + 0.527959i \(0.177043\pi\)
−0.849270 + 0.527959i \(0.822957\pi\)
\(128\) 6.47059 9.28071i 0.571924 0.820306i
\(129\) 6.51320 + 5.85625i 0.573456 + 0.515614i
\(130\) −4.14568 3.94167i −0.363600 0.345707i
\(131\) 3.59093 0.353676i 0.313741 0.0309008i 0.0600790 0.998194i \(-0.480865\pi\)
0.253662 + 0.967293i \(0.418365\pi\)
\(132\) −8.93554 + 0.928175i −0.777739 + 0.0807872i
\(133\) 2.72256 5.09354i 0.236076 0.441666i
\(134\) −8.60450 6.70564i −0.743315 0.579279i
\(135\) 4.73330 + 5.09890i 0.407377 + 0.438843i
\(136\) 0.674173 2.05476i 0.0578099 0.176195i
\(137\) 2.49289 + 12.5326i 0.212982 + 1.07073i 0.928271 + 0.371905i \(0.121295\pi\)
−0.715289 + 0.698829i \(0.753705\pi\)
\(138\) 19.5243 + 8.54611i 1.66202 + 0.727493i
\(139\) −3.02264 3.68309i −0.256377 0.312396i 0.628877 0.777505i \(-0.283515\pi\)
−0.885253 + 0.465109i \(0.846015\pi\)
\(140\) −7.67418 + 10.3768i −0.648587 + 0.876999i
\(141\) −3.13205 + 12.7180i −0.263766 + 1.07105i
\(142\) 11.2970 + 16.0175i 0.948025 + 1.34416i
\(143\) −2.99820 + 7.23830i −0.250722 + 0.605297i
\(144\) 4.71009 + 11.0370i 0.392507 + 0.919749i
\(145\) −0.534298 1.28991i −0.0443710 0.107121i
\(146\) 4.07150 6.43925i 0.336960 0.532916i
\(147\) −24.0528 + 14.5469i −1.98384 + 1.19981i
\(148\) −20.9336 + 7.52219i −1.72073 + 0.618320i
\(149\) −3.98774 0.392758i −0.326688 0.0321760i −0.0666562 0.997776i \(-0.521233\pi\)
−0.260032 + 0.965600i \(0.583733\pi\)
\(150\) 5.44361 + 5.66461i 0.444469 + 0.462514i
\(151\) 9.83830 14.7241i 0.800630 1.19823i −0.176231 0.984349i \(-0.556390\pi\)
0.976860 0.213878i \(-0.0686095\pi\)
\(152\) 1.81912 + 2.85983i 0.147550 + 0.231963i
\(153\) 1.46916 + 1.76145i 0.118775 + 0.142405i
\(154\) 17.0392 + 4.70295i 1.37306 + 0.378975i
\(155\) 7.91265 2.40028i 0.635559 0.192795i
\(156\) 10.4202 + 0.970268i 0.834285 + 0.0776836i
\(157\) 1.06844 1.30190i 0.0852709 0.103903i −0.728627 0.684910i \(-0.759841\pi\)
0.813898 + 0.581008i \(0.197341\pi\)
\(158\) 1.82766 0.811630i 0.145401 0.0645698i
\(159\) −0.934542 17.5961i −0.0741140 1.39546i
\(160\) −3.09276 6.91384i −0.244504 0.546587i
\(161\) −29.6528 29.6528i −2.33697 2.33697i
\(162\) −12.5749 1.96788i −0.987975 0.154612i
\(163\) 0.569853 0.694367i 0.0446343 0.0543870i −0.750215 0.661194i \(-0.770050\pi\)
0.794849 + 0.606807i \(0.207550\pi\)
\(164\) 1.19999 2.00824i 0.0937038 0.156817i
\(165\) −2.54976 + 5.44691i −0.198499 + 0.424041i
\(166\) −13.6930 + 7.76924i −1.06278 + 0.603010i
\(167\) −10.9445 + 7.31289i −0.846912 + 0.565888i −0.901578 0.432616i \(-0.857590\pi\)
0.0546663 + 0.998505i \(0.482590\pi\)
\(168\) −0.721209 23.6004i −0.0556425 1.82081i
\(169\) −2.15180 + 3.22040i −0.165523 + 0.247723i
\(170\) −0.946359 1.09559i −0.0725824 0.0840280i
\(171\) −3.59486 + 0.0285691i −0.274906 + 0.00218473i
\(172\) 10.1023 + 0.482575i 0.770296 + 0.0367960i
\(173\) 0.484161 + 0.146869i 0.0368101 + 0.0111662i 0.308636 0.951180i \(-0.400127\pi\)
−0.271826 + 0.962346i \(0.587627\pi\)
\(174\) 2.22826 + 1.24864i 0.168924 + 0.0946593i
\(175\) −5.91556 14.2814i −0.447174 1.07957i
\(176\) −7.31519 + 7.35494i −0.551403 + 0.554400i
\(177\) −10.0333 + 4.79427i −0.754148 + 0.360359i
\(178\) 0.180005 1.04158i 0.0134919 0.0780700i
\(179\) −2.63681 4.93312i −0.197084 0.368719i 0.763894 0.645341i \(-0.223285\pi\)
−0.960979 + 0.276623i \(0.910785\pi\)
\(180\) 7.95717 + 1.10479i 0.593092 + 0.0823462i
\(181\) 5.95357 + 7.25445i 0.442525 + 0.539219i 0.945732 0.324947i \(-0.105347\pi\)
−0.503207 + 0.864166i \(0.667847\pi\)
\(182\) −18.3993 9.24579i −1.36384 0.685343i
\(183\) 15.0082 + 8.91470i 1.10944 + 0.658993i
\(184\) 23.7050 6.61197i 1.74756 0.487441i
\(185\) −2.90519 + 14.6054i −0.213594 + 1.07381i
\(186\) −8.65276 + 12.4082i −0.634451 + 0.909811i
\(187\) −0.934686 + 1.74867i −0.0683510 + 0.127876i
\(188\) 6.48498 + 13.6634i 0.472966 + 0.996507i
\(189\) 21.6326 + 12.6180i 1.57354 + 0.917828i
\(190\) 2.26832 0.0572219i 0.164561 0.00415131i
\(191\) 1.34059i 0.0970017i 0.998823 + 0.0485008i \(0.0154444\pi\)
−0.998823 + 0.0485008i \(0.984556\pi\)
\(192\) 12.2724 + 6.43342i 0.885682 + 0.464292i
\(193\) 4.39991i 0.316712i −0.987382 0.158356i \(-0.949381\pi\)
0.987382 0.158356i \(-0.0506194\pi\)
\(194\) −0.567406 22.4924i −0.0407374 1.61486i
\(195\) 4.15112 5.64387i 0.297268 0.404166i
\(196\) −10.8934 + 30.5756i −0.778100 + 2.18397i
\(197\) 3.15098 5.89508i 0.224498 0.420007i −0.744304 0.667841i \(-0.767219\pi\)
0.968803 + 0.247834i \(0.0797187\pi\)
\(198\) −2.50319 10.7141i −0.177894 0.761419i
\(199\) 2.55931 12.8665i 0.181425 0.912084i −0.777599 0.628760i \(-0.783563\pi\)
0.959024 0.283324i \(-0.0914373\pi\)
\(200\) 9.00564 + 1.09216i 0.636795 + 0.0772275i
\(201\) 6.82311 11.4869i 0.481265 0.810226i
\(202\) 0.480386 0.955975i 0.0337998 0.0672622i
\(203\) −3.18834 3.88500i −0.223778 0.272674i
\(204\) 2.60038 + 0.502859i 0.182063 + 0.0352071i
\(205\) −0.738282 1.38123i −0.0515639 0.0964692i
\(206\) 5.64110 + 0.974887i 0.393034 + 0.0679236i
\(207\) −7.37848 + 25.0382i −0.512840 + 1.74027i
\(208\) 10.0295 6.74087i 0.695419 0.467395i
\(209\) −1.18925 2.87111i −0.0822624 0.198599i
\(210\) −13.7894 7.72711i −0.951560 0.533221i
\(211\) −8.66840 2.62953i −0.596757 0.181024i −0.0225659 0.999745i \(-0.507184\pi\)
−0.574192 + 0.818721i \(0.694684\pi\)
\(212\) −13.6845 15.0575i −0.939857 1.03415i
\(213\) −17.7229 + 16.1918i −1.21435 + 1.10944i
\(214\) −10.7724 + 9.30504i −0.736383 + 0.636079i
\(215\) 3.76166 5.62972i 0.256543 0.383943i
\(216\) −12.6853 + 7.42181i −0.863125 + 0.504990i
\(217\) 24.7483 16.5363i 1.68003 1.12256i
\(218\) 2.02084 + 3.56166i 0.136869 + 0.241226i
\(219\) 8.45062 + 3.95583i 0.571040 + 0.267310i
\(220\) 1.69651 + 6.73414i 0.114379 + 0.454016i
\(221\) 1.46534 1.78552i 0.0985693 0.120107i
\(222\) −12.3620 24.2772i −0.829681 1.62938i
\(223\) −15.1246 15.1246i −1.01281 1.01281i −0.999917 0.0128981i \(-0.995894\pi\)
−0.0128981 0.999917i \(-0.504106\pi\)
\(224\) −17.8780 20.5842i −1.19452 1.37534i
\(225\) −6.04477 + 7.48611i −0.402985 + 0.499074i
\(226\) −3.46450 7.80152i −0.230455 0.518950i
\(227\) 3.53243 4.30428i 0.234456 0.285685i −0.642470 0.766311i \(-0.722090\pi\)
0.876926 + 0.480626i \(0.159590\pi\)
\(228\) −3.19478 + 2.65050i −0.211579 + 0.175534i
\(229\) −7.41934 + 2.25063i −0.490284 + 0.148726i −0.525740 0.850645i \(-0.676212\pi\)
0.0354564 + 0.999371i \(0.488712\pi\)
\(230\) 4.38341 15.8815i 0.289034 1.04719i
\(231\) −3.09145 + 21.4271i −0.203402 + 1.40980i
\(232\) 2.90496 0.510142i 0.190720 0.0334925i
\(233\) 1.11580 1.66991i 0.0730982 0.109399i −0.793119 0.609066i \(-0.791544\pi\)
0.866218 + 0.499667i \(0.166544\pi\)
\(234\) 0.425050 + 12.8103i 0.0277864 + 0.837433i
\(235\) 10.0763 + 0.992431i 0.657307 + 0.0647390i
\(236\) −5.47413 + 11.6148i −0.356336 + 0.756057i
\(237\) 1.26749 + 2.09574i 0.0823320 + 0.136133i
\(238\) −4.40471 2.78507i −0.285515 0.180529i
\(239\) 2.19942 + 5.30988i 0.142269 + 0.343467i 0.978912 0.204280i \(-0.0654854\pi\)
−0.836644 + 0.547748i \(0.815485\pi\)
\(240\) 7.92448 4.82203i 0.511523 0.311261i
\(241\) −7.55594 + 18.2417i −0.486721 + 1.17505i 0.469639 + 0.882858i \(0.344384\pi\)
−0.956360 + 0.292190i \(0.905616\pi\)
\(242\) −4.94004 + 3.48418i −0.317558 + 0.223972i
\(243\) 0.455426 15.5818i 0.0292156 0.999573i
\(244\) 19.9345 2.98461i 1.27617 0.191070i
\(245\) 13.7850 + 16.7970i 0.880689 + 1.07312i
\(246\) 2.62478 + 1.14891i 0.167350 + 0.0732519i
\(247\) 0.706270 + 3.55066i 0.0449389 + 0.225923i
\(248\) 1.32039 + 17.4174i 0.0838446 + 1.10601i
\(249\) −11.5476 15.4415i −0.731801 0.978568i
\(250\) 9.55279 12.2579i 0.604172 0.775257i
\(251\) −9.11942 + 17.0612i −0.575613 + 1.07690i 0.410663 + 0.911787i \(0.365297\pi\)
−0.986275 + 0.165108i \(0.947203\pi\)
\(252\) 28.5642 4.50904i 1.79938 0.284043i
\(253\) −22.4558 + 2.21171i −1.41179 + 0.139049i
\(254\) −11.5957 + 12.1959i −0.727580 + 0.765239i
\(255\) 1.18551 1.31850i 0.0742395 0.0825676i
\(256\) 15.6754 3.20645i 0.979713 0.200403i
\(257\) 2.78236i 0.173559i 0.996228 + 0.0867796i \(0.0276576\pi\)
−0.996228 + 0.0867796i \(0.972342\pi\)
\(258\) 0.968682 + 12.3490i 0.0603075 + 0.768812i
\(259\) 5.25416 + 53.3464i 0.326477 + 3.31478i
\(260\) −0.407902 8.07963i −0.0252970 0.501077i
\(261\) −1.17415 + 2.89961i −0.0726781 + 0.179482i
\(262\) 4.02500 + 3.13675i 0.248665 + 0.193789i
\(263\) −6.20302 + 31.1847i −0.382494 + 1.92293i 0.00246681 + 0.999997i \(0.499215\pi\)
−0.384961 + 0.922933i \(0.625785\pi\)
\(264\) −10.0625 7.75607i −0.619305 0.477353i
\(265\) −13.3596 + 2.65740i −0.820676 + 0.163243i
\(266\) 7.75382 2.56734i 0.475417 0.157414i
\(267\) 1.29327 + 0.0583838i 0.0791466 + 0.00357303i
\(268\) −2.28435 15.2574i −0.139539 0.931993i
\(269\) −13.3998 25.0693i −0.817002 1.52850i −0.848619 0.529004i \(-0.822566\pi\)
0.0316170 0.999500i \(-0.489934\pi\)
\(270\) −0.117530 + 9.83828i −0.00715265 + 0.598739i
\(271\) 25.1025 + 10.3978i 1.52487 + 0.631620i 0.978559 0.205965i \(-0.0660334\pi\)
0.546306 + 0.837585i \(0.316033\pi\)
\(272\) 2.69325 1.44897i 0.163302 0.0878568i
\(273\) 8.40179 23.7789i 0.508500 1.43916i
\(274\) −9.65761 + 15.2739i −0.583438 + 0.922731i
\(275\) −7.95949 2.41449i −0.479976 0.145599i
\(276\) 11.6826 + 27.7846i 0.703211 + 1.67244i
\(277\) 0.195977 1.98978i 0.0117751 0.119555i −0.987500 0.157617i \(-0.949619\pi\)
0.999275 + 0.0380629i \(0.0121187\pi\)
\(278\) 0.491138 6.72025i 0.0294565 0.403054i
\(279\) −16.4082 8.60344i −0.982335 0.515074i
\(280\) −17.9771 + 3.15697i −1.07434 + 0.188665i
\(281\) −8.00577 + 5.34929i −0.477584 + 0.319112i −0.770958 0.636886i \(-0.780222\pi\)
0.293373 + 0.955998i \(0.405222\pi\)
\(282\) −15.6033 + 9.98265i −0.929162 + 0.594458i
\(283\) 2.24556 + 7.40262i 0.133485 + 0.440040i 0.998046 0.0624878i \(-0.0199034\pi\)
−0.864561 + 0.502528i \(0.832403\pi\)
\(284\) −4.03012 + 27.4249i −0.239144 + 1.62737i
\(285\) 0.418684 + 2.74728i 0.0248007 + 0.162735i
\(286\) −10.1263 + 4.49690i −0.598782 + 0.265907i
\(287\) −3.98642 3.98642i −0.235311 0.235311i
\(288\) −5.92777 + 15.9016i −0.349297 + 0.937012i
\(289\) −11.6075 + 11.6075i −0.682792 + 0.682792i
\(290\) 0.709367 1.84268i 0.0416555 0.108206i
\(291\) 27.2417 4.15162i 1.59694 0.243372i
\(292\) 10.4477 2.63206i 0.611405 0.154030i
\(293\) 20.3178 6.16334i 1.18698 0.360066i 0.365776 0.930703i \(-0.380804\pi\)
0.821203 + 0.570637i \(0.193304\pi\)
\(294\) −38.8271 8.52943i −2.26444 0.497446i
\(295\) 4.77564 + 7.14726i 0.278049 + 0.416129i
\(296\) −28.7850 12.6896i −1.67309 0.737566i
\(297\) 12.6327 4.69065i 0.733023 0.272179i
\(298\) −3.70430 4.28844i −0.214585 0.248423i
\(299\) 26.1595 + 2.57648i 1.51284 + 0.149002i
\(300\) 0.0592018 + 11.1103i 0.00341802 + 0.641451i
\(301\) 7.07500 23.3232i 0.407797 1.34432i
\(302\) 24.4313 5.50363i 1.40587 0.316698i
\(303\) 1.23549 + 0.436534i 0.0709768 + 0.0250782i
\(304\) −0.922382 + 4.70371i −0.0529022 + 0.269776i
\(305\) 5.16394 12.4669i 0.295686 0.713850i
\(306\) −0.210720 + 3.23695i −0.0120461 + 0.185044i
\(307\) 0.456998 0.244271i 0.0260823 0.0139413i −0.458304 0.888795i \(-0.651543\pi\)
0.484386 + 0.874854i \(0.339043\pi\)
\(308\) 12.8806 + 21.4241i 0.733942 + 1.22075i
\(309\) −0.316200 + 7.00418i −0.0179880 + 0.398454i
\(310\) 10.4487 + 5.25054i 0.593444 + 0.298211i
\(311\) −4.93702 24.8201i −0.279953 1.40742i −0.823155 0.567817i \(-0.807788\pi\)
0.543202 0.839602i \(-0.317212\pi\)
\(312\) 9.73420 + 11.1485i 0.551090 + 0.631162i
\(313\) −4.66561 0.928047i −0.263716 0.0524563i 0.0614614 0.998109i \(-0.480424\pi\)
−0.325177 + 0.945653i \(0.605424\pi\)
\(314\) 2.36370 0.293161i 0.133391 0.0165440i
\(315\) 7.26613 17.9440i 0.409400 1.01103i
\(316\) 2.66408 + 0.949152i 0.149866 + 0.0533940i
\(317\) 4.24902 0.418492i 0.238649 0.0235049i 0.0220144 0.999758i \(-0.492992\pi\)
0.216634 + 0.976253i \(0.430492\pi\)
\(318\) 16.1889 18.9449i 0.907831 1.06238i
\(319\) −2.70427 −0.151410
\(320\) 3.56751 10.0998i 0.199430 0.564595i
\(321\) −12.9641 11.6565i −0.723585 0.650601i
\(322\) −1.49560 59.2867i −0.0833465 3.30392i
\(323\) 0.0898038 + 0.911794i 0.00499682 + 0.0507335i
\(324\) −10.9704 14.2706i −0.609465 0.792813i
\(325\) 8.54536 + 4.56759i 0.474012 + 0.253364i
\(326\) 1.26068 0.156357i 0.0698225 0.00865981i
\(327\) −4.01647 + 3.00363i −0.222111 + 0.166101i
\(328\) 3.18683 0.888891i 0.175963 0.0490808i
\(329\) 35.7466 7.11044i 1.97077 0.392011i
\(330\) −7.92106 + 3.09789i −0.436040 + 0.170533i
\(331\) −6.99150 + 5.73777i −0.384288 + 0.315377i −0.806627 0.591061i \(-0.798709\pi\)
0.422339 + 0.906438i \(0.361209\pi\)
\(332\) −21.6048 5.38062i −1.18572 0.295300i
\(333\) 27.5948 18.7571i 1.51218 1.02788i
\(334\) −18.3432 3.17004i −1.00369 0.173457i
\(335\) −9.54185 3.95237i −0.521327 0.215941i
\(336\) 22.2585 24.8908i 1.21430 1.35791i
\(337\) −15.8549 + 6.56733i −0.863673 + 0.357745i −0.770143 0.637871i \(-0.779815\pi\)
−0.0935303 + 0.995616i \(0.529815\pi\)
\(338\) −5.34354 + 1.20373i −0.290650 + 0.0654745i
\(339\) 8.94583 5.41036i 0.485871 0.293850i
\(340\) 0.0976900 2.04506i 0.00529798 0.110909i
\(341\) 1.56981 15.9385i 0.0850098 0.863119i
\(342\) −3.71221 3.47378i −0.200733 0.187840i
\(343\) 36.9846 + 24.7123i 1.99698 + 1.33434i
\(344\) 9.88364 + 10.3389i 0.532890 + 0.557439i
\(345\) 19.9712 + 2.88140i 1.07522 + 0.155129i
\(346\) 0.353099 + 0.622323i 0.0189827 + 0.0334563i
\(347\) −9.27162 30.5644i −0.497727 1.64078i −0.741500 0.670952i \(-0.765885\pi\)
0.243774 0.969832i \(-0.421615\pi\)
\(348\) 1.06699 + 3.45109i 0.0571968 + 0.184998i
\(349\) −12.2885 10.0849i −0.657787 0.539832i 0.245215 0.969469i \(-0.421141\pi\)
−0.903002 + 0.429637i \(0.858641\pi\)
\(350\) 7.85386 20.4015i 0.419807 1.09051i
\(351\) −15.4995 + 2.48830i −0.827301 + 0.132816i
\(352\) −14.6645 + 0.409702i −0.781619 + 0.0218372i
\(353\) 15.7895 15.7895i 0.840392 0.840392i −0.148518 0.988910i \(-0.547450\pi\)
0.988910 + 0.148518i \(0.0474502\pi\)
\(354\) −14.9550 4.86342i −0.794847 0.258488i
\(355\) 14.3447 + 11.7724i 0.761340 + 0.624815i
\(356\) 1.19947 0.892111i 0.0635719 0.0472818i
\(357\) 2.70595 5.78057i 0.143214 0.305940i
\(358\) 2.10468 7.62543i 0.111236 0.403017i
\(359\) −10.6345 15.9156i −0.561267 0.839996i 0.436962 0.899480i \(-0.356054\pi\)
−0.998229 + 0.0594841i \(0.981054\pi\)
\(360\) 7.07873 + 8.88627i 0.373082 + 0.468348i
\(361\) 14.6039 + 9.75805i 0.768629 + 0.513581i
\(362\) −0.967376 + 13.2366i −0.0508441 + 0.695701i
\(363\) −4.99381 5.46601i −0.262107 0.286891i
\(364\) −9.84772 27.4054i −0.516161 1.43643i
\(365\) 2.09378 6.90225i 0.109593 0.361280i
\(366\) 6.69486 + 23.7616i 0.349946 + 1.24204i
\(367\) −6.46888 + 2.67950i −0.337673 + 0.139869i −0.545075 0.838387i \(-0.683499\pi\)
0.207403 + 0.978256i \(0.433499\pi\)
\(368\) 30.7384 + 16.3231i 1.60235 + 0.850900i
\(369\) −0.991938 + 3.36605i −0.0516382 + 0.175230i
\(370\) −17.2099 + 12.1380i −0.894701 + 0.631027i
\(371\) −43.2427 + 23.1137i −2.24505 + 1.20000i
\(372\) −20.9595 + 4.28533i −1.08670 + 0.222184i
\(373\) 24.4440 20.0607i 1.26566 1.03870i 0.268512 0.963276i \(-0.413468\pi\)
0.997151 0.0754268i \(-0.0240319\pi\)
\(374\) −2.66198 + 0.881400i −0.137648 + 0.0455761i
\(375\) 16.3642 + 9.72014i 0.845042 + 0.501946i
\(376\) −6.66803 + 20.3230i −0.343878 + 1.04808i
\(377\) 3.08976 + 0.614592i 0.159131 + 0.0316531i
\(378\) 9.87545 + 34.0124i 0.507938 + 1.74941i
\(379\) −25.1302 13.4324i −1.29085 0.689974i −0.324180 0.945996i \(-0.605088\pi\)
−0.966671 + 0.256022i \(0.917588\pi\)
\(380\) 2.38056 + 2.15175i 0.122120 + 0.110382i
\(381\) −16.6033 12.2119i −0.850614 0.625635i
\(382\) −1.30636 + 1.37397i −0.0668390 + 0.0702985i
\(383\) 7.18811 0.367295 0.183648 0.982992i \(-0.441209\pi\)
0.183648 + 0.982992i \(0.441209\pi\)
\(384\) 6.30882 + 18.5526i 0.321946 + 0.946758i
\(385\) 16.7352 0.852903
\(386\) 4.28755 4.50947i 0.218231 0.229526i
\(387\) −14.8553 + 3.07782i −0.755137 + 0.156455i
\(388\) 21.3365 23.6054i 1.08320 1.19838i
\(389\) −13.3943 7.15941i −0.679119 0.362997i 0.0954960 0.995430i \(-0.469556\pi\)
−0.774615 + 0.632433i \(0.782056\pi\)
\(390\) 9.75423 1.73929i 0.493925 0.0880724i
\(391\) 6.52465 + 1.29783i 0.329966 + 0.0656343i
\(392\) −40.9594 + 20.7217i −2.06876 + 1.04660i
\(393\) −3.19170 + 5.37334i −0.161000 + 0.271049i
\(394\) 8.97398 2.97135i 0.452103 0.149694i
\(395\) 1.46354 1.20110i 0.0736388 0.0604338i
\(396\) 7.87499 13.4202i 0.395733 0.674388i
\(397\) 17.5386 9.37455i 0.880235 0.470495i 0.0316159 0.999500i \(-0.489935\pi\)
0.848619 + 0.529005i \(0.177435\pi\)
\(398\) 15.1610 10.6930i 0.759953 0.535990i
\(399\) 4.31294 + 9.02597i 0.215917 + 0.451864i
\(400\) 8.16561 + 9.89502i 0.408281 + 0.494751i
\(401\) −14.1643 + 5.86704i −0.707330 + 0.292986i −0.707199 0.707014i \(-0.750042\pi\)
−0.000130881 1.00000i \(0.500042\pi\)
\(402\) 18.1866 5.12409i 0.907065 0.255567i
\(403\) −5.41587 + 17.8537i −0.269784 + 0.889358i
\(404\) 1.42391 0.511661i 0.0708422 0.0254561i
\(405\) −11.9719 + 1.37158i −0.594890 + 0.0681543i
\(406\) 0.518063 7.08866i 0.0257110 0.351804i
\(407\) 23.9824 + 16.0245i 1.18876 + 0.794305i
\(408\) 2.17511 + 3.04936i 0.107684 + 0.150966i
\(409\) 7.81945 + 11.7026i 0.386647 + 0.578658i 0.972830 0.231520i \(-0.0743700\pi\)
−0.586183 + 0.810179i \(0.699370\pi\)
\(410\) 0.589291 2.13505i 0.0291030 0.105443i
\(411\) −20.0449 9.38324i −0.988742 0.462841i
\(412\) 4.83157 + 6.49620i 0.238034 + 0.320045i
\(413\) 23.9189 + 19.6297i 1.17697 + 0.965915i
\(414\) −31.9610 + 18.4716i −1.57080 + 0.907829i
\(415\) −10.5396 + 10.5396i −0.517371 + 0.517371i
\(416\) 16.8480 + 2.86464i 0.826039 + 0.140451i
\(417\) 8.24093 0.437682i 0.403560 0.0214334i
\(418\) 1.57893 4.10149i 0.0772279 0.200610i
\(419\) −20.0838 16.4823i −0.981157 0.805215i −0.000311490 1.00000i \(-0.500099\pi\)
−0.980846 + 0.194785i \(0.937599\pi\)
\(420\) −6.60299 21.3568i −0.322193 1.04211i
\(421\) −1.97232 6.50185i −0.0961248 0.316881i 0.895670 0.444719i \(-0.146696\pi\)
−0.991795 + 0.127838i \(0.959196\pi\)
\(422\) −6.32187 11.1421i −0.307744 0.542387i
\(423\) −14.5310 17.4219i −0.706522 0.847082i
\(424\) 0.647701 28.7675i 0.0314551 1.39707i
\(425\) 2.03894 + 1.36238i 0.0989032 + 0.0660850i
\(426\) −33.9425 0.675296i −1.64452 0.0327182i
\(427\) 4.76109 48.3401i 0.230405 2.33934i
\(428\) −20.1080 0.960533i −0.971958 0.0464291i
\(429\) −7.02260 11.6116i −0.339055 0.560614i
\(430\) 9.34128 2.10430i 0.450476 0.101478i
\(431\) 24.5930 10.1868i 1.18460 0.490679i 0.298610 0.954375i \(-0.403477\pi\)
0.885994 + 0.463696i \(0.153477\pi\)
\(432\) −20.2334 4.75474i −0.973482 0.228763i
\(433\) 7.33539 + 3.03842i 0.352516 + 0.146017i 0.551913 0.833902i \(-0.313898\pi\)
−0.199397 + 0.979919i \(0.563898\pi\)
\(434\) 41.4786 + 7.16828i 1.99104 + 0.344088i
\(435\) 2.34811 + 0.578265i 0.112583 + 0.0277257i
\(436\) −1.39954 + 5.61958i −0.0670259 + 0.269129i
\(437\) −8.05980 + 6.61451i −0.385553 + 0.316415i
\(438\) 4.80623 + 12.2892i 0.229650 + 0.587198i
\(439\) −2.33777 + 0.465011i −0.111576 + 0.0221938i −0.250562 0.968100i \(-0.580615\pi\)
0.138987 + 0.990294i \(0.455615\pi\)
\(440\) −4.82341 + 8.55501i −0.229947 + 0.407844i
\(441\) 4.38698 48.4892i 0.208904 2.30901i
\(442\) 3.24175 0.402062i 0.154194 0.0191241i
\(443\) 26.9634 + 14.4122i 1.28107 + 0.684745i 0.964565 0.263846i \(-0.0849911\pi\)
0.316504 + 0.948591i \(0.397491\pi\)
\(444\) 10.9875 36.9280i 0.521441 1.75253i
\(445\) −0.0980900 0.995925i −0.00464991 0.0472114i
\(446\) −0.762838 30.2395i −0.0361214 1.43188i
\(447\) 4.64040 5.16096i 0.219484 0.244105i
\(448\) 1.73535 38.5182i 0.0819877 1.81981i
\(449\) −6.06690 −0.286315 −0.143157 0.989700i \(-0.545726\pi\)
−0.143157 + 0.989700i \(0.545726\pi\)
\(450\) −13.4902 + 1.78211i −0.635936 + 0.0840093i
\(451\) −3.01889 + 0.297334i −0.142154 + 0.0140009i
\(452\) 4.05153 11.3718i 0.190568 0.534885i
\(453\) 10.4477 + 28.8377i 0.490878 + 1.35491i
\(454\) 7.81475 0.969233i 0.366764 0.0454884i
\(455\) −19.1207 3.80335i −0.896393 0.178304i
\(456\) −5.85715 0.396695i −0.274286 0.0185769i
\(457\) 5.05627 + 25.4196i 0.236523 + 1.18908i 0.898301 + 0.439380i \(0.144802\pi\)
−0.661779 + 0.749699i \(0.730198\pi\)
\(458\) −9.79724 4.92320i −0.457795 0.230046i
\(459\) −3.96544 + 0.242224i −0.185091 + 0.0113061i
\(460\) 19.9685 12.0054i 0.931035 0.559757i
\(461\) −32.8210 + 17.5432i −1.52863 + 0.817068i −0.999504 0.0314772i \(-0.989979\pi\)
−0.529123 + 0.848545i \(0.677479\pi\)
\(462\) −24.0484 + 18.9481i −1.11883 + 0.881548i
\(463\) 9.58657 23.1440i 0.445526 1.07559i −0.528454 0.848962i \(-0.677228\pi\)
0.973980 0.226633i \(-0.0727717\pi\)
\(464\) 3.47441 + 2.30793i 0.161295 + 0.107143i
\(465\) −4.77125 + 13.5037i −0.221261 + 0.626218i
\(466\) 2.77084 0.624185i 0.128357 0.0289148i
\(467\) −10.3545 + 34.1341i −0.479148 + 1.57954i 0.300795 + 0.953689i \(0.402748\pi\)
−0.779943 + 0.625851i \(0.784752\pi\)
\(468\) −12.0475 + 13.5434i −0.556896 + 0.626046i
\(469\) −36.9985 3.64403i −1.70843 0.168266i
\(470\) 9.36014 + 10.8361i 0.431751 + 0.499834i
\(471\) 0.720038 + 2.82685i 0.0331776 + 0.130254i
\(472\) −16.9286 + 6.56964i −0.779202 + 0.302392i
\(473\) −7.28595 10.9042i −0.335008 0.501376i
\(474\) −0.743177 + 3.38305i −0.0341353 + 0.155388i
\(475\) −3.67789 + 1.11568i −0.168753 + 0.0511908i
\(476\) −1.80044 7.14665i −0.0825229 0.327566i
\(477\) 25.5106 + 16.7540i 1.16805 + 0.767111i
\(478\) −2.92009 + 7.58535i −0.133562 + 0.346946i
\(479\) 15.9425 15.9425i 0.728431 0.728431i −0.241876 0.970307i \(-0.577763\pi\)
0.970307 + 0.241876i \(0.0777627\pi\)
\(480\) 12.8207 + 2.78001i 0.585182 + 0.126890i
\(481\) −23.7591 23.7591i −1.08332 1.08332i
\(482\) −25.5199 + 11.3329i −1.16240 + 0.516199i
\(483\) 71.8052 10.9431i 3.26725 0.497926i
\(484\) −8.45826 1.24295i −0.384466 0.0564979i
\(485\) −6.18354 20.3844i −0.280780 0.925608i
\(486\) 15.6507 15.5260i 0.709929 0.704274i
\(487\) −33.5780 + 22.4361i −1.52157 + 1.01668i −0.536619 + 0.843825i \(0.680299\pi\)
−0.984948 + 0.172853i \(0.944701\pi\)
\(488\) 23.3392 + 16.3665i 1.05652 + 0.740875i
\(489\) 0.384032 + 1.50770i 0.0173665 + 0.0681805i
\(490\) −2.23987 + 30.6482i −0.101187 + 1.38455i
\(491\) 1.35116 13.7186i 0.0609771 0.619110i −0.915328 0.402710i \(-0.868068\pi\)
0.976305 0.216400i \(-0.0694317\pi\)
\(492\) 1.57057 + 3.73528i 0.0708069 + 0.168399i
\(493\) 0.762945 + 0.231437i 0.0343613 + 0.0104234i
\(494\) −2.73613 + 4.32731i −0.123104 + 0.194695i
\(495\) −4.98331 9.14751i −0.223983 0.411150i
\(496\) −15.6194 + 19.1378i −0.701331 + 0.859313i
\(497\) 61.7142 + 25.5629i 2.76826 + 1.14665i
\(498\) 3.21206 27.0788i 0.143936 1.21343i
\(499\) 2.51959 + 4.71382i 0.112792 + 0.211020i 0.931983 0.362501i \(-0.118077\pi\)
−0.819191 + 0.573521i \(0.805577\pi\)
\(500\) 21.7355 3.25427i 0.972042 0.145535i
\(501\) 1.02819 22.7755i 0.0459361 1.01754i
\(502\) −25.9721 + 8.59953i −1.15919 + 0.383816i
\(503\) 2.67535 0.532161i 0.119288 0.0237279i −0.135085 0.990834i \(-0.543131\pi\)
0.254373 + 0.967106i \(0.418131\pi\)
\(504\) 33.6694 + 23.2135i 1.49975 + 1.03401i
\(505\) 0.197611 0.993460i 0.00879359 0.0442084i
\(506\) −25.1702 19.6156i −1.11895 0.872020i
\(507\) −2.28510 6.30729i −0.101485 0.280117i
\(508\) −23.7689 + 1.19998i −1.05457 + 0.0532404i
\(509\) 0.959497 + 9.74194i 0.0425290 + 0.431804i 0.992747 + 0.120219i \(0.0383597\pi\)
−0.950218 + 0.311585i \(0.899140\pi\)
\(510\) 2.49986 0.196095i 0.110696 0.00868323i
\(511\) 25.9638i 1.14857i
\(512\) 19.1903 + 11.9888i 0.848100 + 0.529836i
\(513\) 3.64935 5.04517i 0.161123 0.222750i
\(514\) −2.71131 + 2.85165i −0.119591 + 0.125781i
\(515\) 5.39382 0.531245i 0.237680 0.0234094i
\(516\) −11.0408 + 13.6004i −0.486044 + 0.598724i
\(517\) 9.24468 17.2956i 0.406581 0.760659i
\(518\) −46.5991 + 59.7947i −2.04745 + 2.62723i
\(519\) −0.701792 + 0.524819i −0.0308052 + 0.0230370i
\(520\) 7.45525 8.67830i 0.326934 0.380569i
\(521\) 7.99982 + 40.2178i 0.350479 + 1.76197i 0.606286 + 0.795247i \(0.292659\pi\)
−0.255807 + 0.966728i \(0.582341\pi\)
\(522\) −4.02896 + 1.82765i −0.176343 + 0.0799940i
\(523\) 9.66634 + 11.7785i 0.422679 + 0.515036i 0.940195 0.340638i \(-0.110643\pi\)
−0.517515 + 0.855674i \(0.673143\pi\)
\(524\) 1.06857 + 7.13707i 0.0466807 + 0.311784i
\(525\) 25.9975 + 6.40235i 1.13462 + 0.279421i
\(526\) −36.7458 + 25.9166i −1.60219 + 1.13002i
\(527\) −1.80693 + 4.36232i −0.0787112 + 0.190026i
\(528\) −2.75507 17.7548i −0.119899 0.772676i
\(529\) 20.1697 + 48.6939i 0.876942 + 2.11712i
\(530\) −16.2818 10.2949i −0.707238 0.447182i
\(531\) 3.60724 18.9194i 0.156541 0.821031i
\(532\) 10.4487 + 4.92454i 0.453008 + 0.213506i
\(533\) 3.51679 + 0.346374i 0.152329 + 0.0150031i
\(534\) 1.26858 + 1.32008i 0.0548967 + 0.0571254i
\(535\) −7.48732 + 11.2056i −0.323705 + 0.484459i
\(536\) 12.5265 17.8633i 0.541064 0.771578i
\(537\) 9.58912 + 1.38349i 0.413801 + 0.0597022i
\(538\) 10.6956 38.7512i 0.461122 1.67068i
\(539\) 40.2753 12.2174i 1.73478 0.526240i
\(540\) −9.70750 + 9.96873i −0.417744 + 0.428986i
\(541\) −15.5383 + 18.9335i −0.668044 + 0.814013i −0.991206 0.132330i \(-0.957754\pi\)
0.323162 + 0.946344i \(0.395254\pi\)
\(542\) 15.5953 + 35.1181i 0.669874 + 1.50845i
\(543\) −16.2318 + 0.862086i −0.696575 + 0.0369956i
\(544\) 4.17229 + 1.13943i 0.178885 + 0.0488525i
\(545\) 2.74145 + 2.74145i 0.117431 + 0.117431i
\(546\) 31.7827 16.1838i 1.36017 0.692601i
\(547\) −14.7526 + 17.9761i −0.630775 + 0.768602i −0.986102 0.166140i \(-0.946869\pi\)
0.355327 + 0.934742i \(0.384369\pi\)
\(548\) −24.7820 + 6.24326i −1.05863 + 0.266699i
\(549\) −27.8406 + 11.7920i −1.18821 + 0.503272i
\(550\) −5.80486 10.2308i −0.247520 0.436245i
\(551\) −1.03899 + 0.694230i −0.0442624 + 0.0295752i
\(552\) −15.1016 + 39.8608i −0.642767 + 1.69659i
\(553\) 3.78635 5.66668i 0.161012 0.240972i
\(554\) 2.13983 1.84836i 0.0909126 0.0785293i
\(555\) −17.3972 19.0423i −0.738471 0.808299i
\(556\) 7.05201 6.40899i 0.299072 0.271802i
\(557\) −22.3149 6.76915i −0.945513 0.286818i −0.220370 0.975416i \(-0.570726\pi\)
−0.725143 + 0.688598i \(0.758226\pi\)
\(558\) −8.43307 24.8069i −0.357000 1.05016i
\(559\) 5.84638 + 14.1144i 0.247276 + 0.596976i
\(560\) −21.5011 14.2824i −0.908586 0.603542i
\(561\) −1.48068 3.09872i −0.0625144 0.130828i
\(562\) −13.4178 2.31885i −0.565996 0.0978147i
\(563\) 13.5018 + 25.2600i 0.569032 + 1.06458i 0.987688 + 0.156439i \(0.0500013\pi\)
−0.418656 + 0.908145i \(0.637499\pi\)
\(564\) −25.7195 4.97361i −1.08299 0.209427i
\(565\) −5.12698 6.24724i −0.215693 0.262823i
\(566\) −4.91211 + 9.77516i −0.206471 + 0.410881i
\(567\) −39.8061 + 17.2345i −1.67170 + 0.723779i
\(568\) −30.8550 + 24.1806i −1.29465 + 1.01459i
\(569\) 5.60767 28.1916i 0.235086 1.18185i −0.665237 0.746632i \(-0.731670\pi\)
0.900323 0.435223i \(-0.143330\pi\)
\(570\) −2.24801 + 3.22368i −0.0941589 + 0.135025i
\(571\) −13.9323 + 26.0654i −0.583047 + 1.09080i 0.401529 + 0.915846i \(0.368479\pi\)
−0.984576 + 0.174958i \(0.944021\pi\)
\(572\) −14.7605 5.25885i −0.617169 0.219884i
\(573\) −1.87051 1.37577i −0.0781415 0.0574738i
\(574\) −0.201063 7.97031i −0.00839222 0.332674i
\(575\) 27.9065i 1.16378i
\(576\) −21.5709 + 10.5212i −0.898788 + 0.438383i
\(577\) 1.22352i 0.0509360i 0.999676 + 0.0254680i \(0.00810759\pi\)
−0.999676 + 0.0254680i \(0.991892\pi\)
\(578\) −23.2075 + 0.585446i −0.965306 + 0.0243513i
\(579\) 6.13913 + 4.51538i 0.255133 + 0.187653i
\(580\) 2.52266 1.19731i 0.104748 0.0497157i
\(581\) −25.2924 + 47.3188i −1.04931 + 1.96311i
\(582\) 31.9656 + 22.2911i 1.32502 + 0.923994i
\(583\) −5.14711 + 25.8763i −0.213172 + 1.07169i
\(584\) 13.2727 + 7.48329i 0.549228 + 0.309661i
\(585\) 3.61474 + 11.5840i 0.149451 + 0.478939i
\(586\) 26.8297 + 13.4822i 1.10832 + 0.556943i
\(587\) −27.7645 33.8312i −1.14596 1.39636i −0.904778 0.425883i \(-0.859964\pi\)
−0.241186 0.970479i \(-0.577536\pi\)
\(588\) −31.4823 46.5774i −1.29831 1.92082i
\(589\) −3.48855 6.52661i −0.143743 0.268924i
\(590\) −2.07018 + 11.9789i −0.0852280 + 0.493164i
\(591\) 4.99163 + 10.4463i 0.205328 + 0.429704i
\(592\) −17.1362 41.0555i −0.704295 1.68737i
\(593\) −14.7793 35.6805i −0.606915 1.46522i −0.866338 0.499458i \(-0.833533\pi\)
0.259424 0.965764i \(-0.416467\pi\)
\(594\) 17.5181 + 7.50264i 0.718777 + 0.307837i
\(595\) −4.72142 1.43223i −0.193559 0.0587156i
\(596\) 0.382385 8.00493i 0.0156631 0.327895i
\(597\) 15.3260 + 16.7752i 0.627251 + 0.686563i
\(598\) 24.3002 + 28.1321i 0.993708 + 1.15041i
\(599\) −11.4470 + 17.1316i −0.467710 + 0.699978i −0.988076 0.153965i \(-0.950796\pi\)
0.520366 + 0.853943i \(0.325796\pi\)
\(600\) −10.7659 + 11.4446i −0.439515 + 0.467224i
\(601\) 6.78206 4.53163i 0.276646 0.184849i −0.409505 0.912308i \(-0.634299\pi\)
0.686151 + 0.727459i \(0.259299\pi\)
\(602\) 29.9787 17.0096i 1.22184 0.693259i
\(603\) 9.02536 + 21.3086i 0.367541 + 0.867753i
\(604\) 30.4028 + 18.1668i 1.23707 + 0.739196i
\(605\) −3.63080 + 4.42414i −0.147613 + 0.179867i
\(606\) 0.840864 + 1.65134i 0.0341578 + 0.0670811i
\(607\) 19.9817 + 19.9817i 0.811033 + 0.811033i 0.984789 0.173755i \(-0.0555902\pi\)
−0.173755 + 0.984789i \(0.555590\pi\)
\(608\) −5.52895 + 3.92201i −0.224228 + 0.159058i
\(609\) 8.69271 0.461676i 0.352246 0.0187081i
\(610\) 17.4410 7.74522i 0.706166 0.313595i
\(611\) −14.4932 + 17.6600i −0.586332 + 0.714447i
\(612\) −3.37026 + 3.11222i −0.136235 + 0.125804i
\(613\) −8.50254 + 2.57922i −0.343415 + 0.104174i −0.457281 0.889322i \(-0.651177\pi\)
0.113866 + 0.993496i \(0.463677\pi\)
\(614\) 0.706411 + 0.194975i 0.0285084 + 0.00786855i
\(615\) 2.68487 + 0.387366i 0.108264 + 0.0156201i
\(616\) −7.67568 + 34.5093i −0.309262 + 1.39042i
\(617\) −9.17593 + 13.7328i −0.369409 + 0.552860i −0.968878 0.247538i \(-0.920378\pi\)
0.599469 + 0.800398i \(0.295378\pi\)
\(618\) −7.14939 + 6.87047i −0.287591 + 0.276371i
\(619\) 13.5543 + 1.33498i 0.544793 + 0.0536575i 0.366671 0.930351i \(-0.380498\pi\)
0.178123 + 0.984008i \(0.442998\pi\)
\(620\) 5.59237 + 15.5631i 0.224595 + 0.625030i
\(621\) −27.3633 35.9904i −1.09805 1.44425i
\(622\) 19.1263 30.2491i 0.766895 1.21288i
\(623\) −1.37856 3.32813i −0.0552308 0.133339i
\(624\) −0.887272 + 20.9118i −0.0355193 + 0.837141i
\(625\) −0.506407 + 1.22257i −0.0202563 + 0.0489030i
\(626\) −3.87743 5.49762i −0.154973 0.219729i
\(627\) 5.22649 + 1.28712i 0.208726 + 0.0514026i
\(628\) 2.70823 + 2.00288i 0.108070 + 0.0799236i
\(629\) −5.39464 6.57338i −0.215098 0.262098i
\(630\) 24.9328 11.3103i 0.993348 0.450611i
\(631\) −4.87713 24.5190i −0.194155 0.976086i −0.947815 0.318821i \(-0.896713\pi\)
0.753660 0.657265i \(-0.228287\pi\)
\(632\) 1.80550 + 3.56883i 0.0718190 + 0.141961i
\(633\) 12.5649 9.39635i 0.499408 0.373471i
\(634\) 4.76263 + 3.71160i 0.189148 + 0.147407i
\(635\) −7.51056 + 14.0513i −0.298047 + 0.557607i
\(636\) 35.0532 3.64113i 1.38995 0.144380i
\(637\) −48.7931 + 4.80570i −1.93325 + 0.190409i
\(638\) −2.77161 2.63522i −0.109729 0.104329i
\(639\) −4.40417 41.3452i −0.174226 1.63559i
\(640\) 13.4982 6.87485i 0.533564 0.271752i
\(641\) 6.41155i 0.253241i 0.991951 + 0.126620i \(0.0404130\pi\)
−0.991951 + 0.126620i \(0.959587\pi\)
\(642\) −1.92810 24.5798i −0.0760959 0.970086i
\(643\) −2.58389 26.2347i −0.101899 1.03459i −0.901124 0.433562i \(-0.857256\pi\)
0.799225 0.601032i \(-0.205244\pi\)
\(644\) 56.2399 62.2204i 2.21616 2.45183i
\(645\) 3.99468 + 11.0261i 0.157290 + 0.434150i
\(646\) −0.796469 + 1.02201i −0.0313367 + 0.0402104i
\(647\) −3.98939 + 20.0560i −0.156839 + 0.788484i 0.819641 + 0.572877i \(0.194173\pi\)
−0.976480 + 0.215606i \(0.930827\pi\)
\(648\) 2.66269 25.3162i 0.104600 0.994514i
\(649\) 16.3295 3.24815i 0.640991 0.127501i
\(650\) 4.30720 + 13.0085i 0.168942 + 0.510234i
\(651\) −2.32500 + 51.5013i −0.0911239 + 2.01849i
\(652\) 1.44443 + 1.06823i 0.0565684 + 0.0418353i
\(653\) −2.65254 4.96256i −0.103802 0.194200i 0.824659 0.565631i \(-0.191367\pi\)
−0.928461 + 0.371431i \(0.878867\pi\)
\(654\) −7.04341 0.835483i −0.275419 0.0326700i
\(655\) 4.46347 + 1.84883i 0.174402 + 0.0722398i
\(656\) 4.13237 + 2.19442i 0.161342 + 0.0856777i
\(657\) −14.1919 + 7.73137i −0.553679 + 0.301629i
\(658\) 43.5656 + 27.5463i 1.69836 + 1.07386i
\(659\) −19.6973 5.97512i −0.767299 0.232758i −0.117715 0.993047i \(-0.537557\pi\)
−0.649584 + 0.760290i \(0.725057\pi\)
\(660\) −11.1371 4.54376i −0.433510 0.176866i
\(661\) −0.841514 + 8.54404i −0.0327311 + 0.332325i 0.964849 + 0.262804i \(0.0846471\pi\)
−0.997580 + 0.0695210i \(0.977853\pi\)
\(662\) −12.7568 0.932312i −0.495809 0.0362353i
\(663\) 0.987512 + 3.87695i 0.0383518 + 0.150568i
\(664\) −16.8996 26.5677i −0.655830 1.03103i
\(665\) 6.42969 4.29618i 0.249333 0.166599i
\(666\) 46.5600 + 7.66589i 1.80416 + 0.297047i
\(667\) 2.63378 + 8.68240i 0.101980 + 0.336184i
\(668\) −15.7108 21.1237i −0.607871 0.817302i
\(669\) 36.6246 5.58156i 1.41599 0.215796i
\(670\) −5.92801 13.3490i −0.229019 0.515716i
\(671\) −18.4814 18.4814i −0.713465 0.713465i
\(672\) 47.0680 3.82049i 1.81569 0.147379i
\(673\) −24.7280 + 24.7280i −0.953195 + 0.953195i −0.998953 0.0457578i \(-0.985430\pi\)
0.0457578 + 0.998953i \(0.485430\pi\)
\(674\) −22.6494 8.71920i −0.872421 0.335851i
\(675\) −4.24184 16.1168i −0.163268 0.620335i
\(676\) −6.64959 3.97337i −0.255753 0.152822i
\(677\) 41.5301 12.5980i 1.59613 0.484181i 0.637885 0.770131i \(-0.279809\pi\)
0.958244 + 0.285951i \(0.0923094\pi\)
\(678\) 14.4408 + 3.17231i 0.554595 + 0.121832i
\(679\) −42.6005 63.7561i −1.63486 2.44674i
\(680\) 2.09296 2.00079i 0.0802615 0.0767269i
\(681\) 2.38056 + 9.34599i 0.0912231 + 0.358139i
\(682\) 17.1404 14.8057i 0.656340 0.566939i
\(683\) 40.5800 + 3.99678i 1.55275 + 0.152932i 0.837696 0.546137i \(-0.183902\pi\)
0.715054 + 0.699069i \(0.246402\pi\)
\(684\) −0.419578 7.17769i −0.0160430 0.274446i
\(685\) −4.96644 + 16.3722i −0.189758 + 0.625548i
\(686\) 13.8243 + 61.3678i 0.527813 + 2.34303i
\(687\) 4.47379 12.6618i 0.170686 0.483077i
\(688\) 0.0548169 + 20.2276i 0.00208987 + 0.771171i
\(689\) 11.7616 28.3951i 0.448083 1.08177i
\(690\) 17.6607 + 22.4144i 0.672332 + 0.853301i
\(691\) 41.4030 22.1304i 1.57504 0.841878i 0.575331 0.817921i \(-0.304873\pi\)
0.999713 0.0239574i \(-0.00762662\pi\)
\(692\) −0.244540 + 0.981901i −0.00929601 + 0.0373263i
\(693\) −26.7243 26.3029i −1.01517 0.999165i
\(694\) 20.2814 40.3604i 0.769873 1.53206i
\(695\) −1.24456 6.25683i −0.0472089 0.237335i
\(696\) −2.26940 + 4.57677i −0.0860216 + 0.173482i
\(697\) 0.877152 + 0.174476i 0.0332245 + 0.00660876i
\(698\) −2.76711 22.3107i −0.104736 0.844471i
\(699\) 1.18491 + 3.27059i 0.0448176 + 0.123705i
\(700\) 27.9300 13.2562i 1.05565 0.501038i
\(701\) −37.3873 + 3.68232i −1.41210 + 0.139079i −0.775125 0.631808i \(-0.782313\pi\)
−0.636972 + 0.770887i \(0.719813\pi\)
\(702\) −18.3102 12.5534i −0.691073 0.473798i
\(703\) 13.3278 0.502669
\(704\) −15.4289 13.8701i −0.581497 0.522748i
\(705\) −11.7255 + 13.0409i −0.441608 + 0.491147i
\(706\) 31.5690 0.796377i 1.18812 0.0299721i
\(707\) −0.357389 3.62863i −0.0134410 0.136469i
\(708\) −10.5881 19.5576i −0.397926 0.735019i
\(709\) 22.1472 + 11.8379i 0.831755 + 0.444582i 0.831571 0.555418i \(-0.187442\pi\)
0.000183290 1.00000i \(0.499942\pi\)
\(710\) 3.23013 + 26.0440i 0.121225 + 0.977413i
\(711\) −4.22491 0.382242i −0.158446 0.0143352i
\(712\) 2.09867 + 0.254517i 0.0786509 + 0.00953842i
\(713\) −52.7014 + 10.4830i −1.97368 + 0.392590i
\(714\) 8.40628 3.28766i 0.314597 0.123037i
\(715\) −8.10887 + 6.65478i −0.303255 + 0.248875i
\(716\) 9.58779 5.76437i 0.358313 0.215425i
\(717\) −9.66594 2.38041i −0.360981 0.0888982i
\(718\) 4.60992 26.6749i 0.172041 0.995498i
\(719\) 40.0119 + 16.5735i 1.49219 + 0.618086i 0.971792 0.235838i \(-0.0757835\pi\)
0.520398 + 0.853924i \(0.325783\pi\)
\(720\) −1.40435 + 16.0055i −0.0523371 + 0.596490i
\(721\) 18.0248 7.46611i 0.671278 0.278053i
\(722\) 5.45873 + 24.2320i 0.203153 + 0.901823i
\(723\) −17.6981 29.2631i −0.658198 1.08831i
\(724\) −13.8901 + 12.6235i −0.516220 + 0.469150i
\(725\) −0.327818 + 3.32839i −0.0121748 + 0.123613i
\(726\) 0.208272 10.4684i 0.00772969 0.388519i
\(727\) 19.3441 + 12.9253i 0.717433 + 0.479373i 0.859924 0.510423i \(-0.170511\pi\)
−0.142491 + 0.989796i \(0.545511\pi\)
\(728\) 16.6126 37.6841i 0.615705 1.39666i
\(729\) 21.2737 + 16.6262i 0.787914 + 0.615785i
\(730\) 8.87190 5.03381i 0.328364 0.186310i
\(731\) 1.12235 + 3.69990i 0.0415117 + 0.136846i
\(732\) −16.2933 + 30.8772i −0.602216 + 1.14125i
\(733\) 1.33342 + 1.09431i 0.0492509 + 0.0404192i 0.658697 0.752409i \(-0.271108\pi\)
−0.609446 + 0.792828i \(0.708608\pi\)
\(734\) −9.24103 3.55747i −0.341093 0.131309i
\(735\) −37.5834 + 1.99608i −1.38629 + 0.0736267i
\(736\) 15.5976 + 46.6830i 0.574934 + 1.72076i
\(737\) −14.1452 + 14.1452i −0.521046 + 0.521046i
\(738\) −4.29673 + 2.48326i −0.158165 + 0.0914100i
\(739\) −34.0975 27.9831i −1.25430 1.02938i −0.998028 0.0627705i \(-0.980006\pi\)
−0.256270 0.966605i \(-0.582494\pi\)
\(740\) −29.4665 4.33015i −1.08321 0.159180i
\(741\) −5.67899 2.65840i −0.208623 0.0976588i
\(742\) −66.8430 18.4492i −2.45388 0.677291i
\(743\) 8.33613 + 12.4759i 0.305823 + 0.457696i 0.952268 0.305265i \(-0.0987449\pi\)
−0.646445 + 0.762961i \(0.723745\pi\)
\(744\) −25.6573 16.0322i −0.940643 0.587771i
\(745\) −4.46090 2.98068i −0.163435 0.109204i
\(746\) 44.6011 + 3.25959i 1.63296 + 0.119342i
\(747\) 33.3961 0.265405i 1.22190 0.00971068i
\(748\) −3.58716 1.69065i −0.131159 0.0618164i
\(749\) −14.0823 + 46.4232i −0.514557 + 1.69627i
\(750\) 7.29973 + 25.9085i 0.266549 + 0.946043i
\(751\) −43.3208 + 17.9441i −1.58080 + 0.654789i −0.988540 0.150959i \(-0.951764\pi\)
−0.592259 + 0.805747i \(0.701764\pi\)
\(752\) −26.6381 + 14.3313i −0.971392 + 0.522609i
\(753\) −14.4465 30.2332i −0.526461 1.10176i
\(754\) 2.56780 + 3.64075i 0.0935138 + 0.132588i
\(755\) 20.9105 11.1769i 0.761011 0.406769i
\(756\) −23.0225 + 44.4826i −0.837321 + 1.61782i
\(757\) −29.9765 + 24.6011i −1.08952 + 0.894142i −0.994849 0.101367i \(-0.967678\pi\)
−0.0946660 + 0.995509i \(0.530178\pi\)
\(758\) −12.6666 38.2553i −0.460071 1.38949i
\(759\) 19.9592 33.6020i 0.724474 1.21968i
\(760\) 0.343040 + 4.52510i 0.0124434 + 0.164143i
\(761\) −11.6375 2.31484i −0.421859 0.0839131i −0.0204044 0.999792i \(-0.506495\pi\)
−0.401455 + 0.915879i \(0.631495\pi\)
\(762\) −5.11670 28.6953i −0.185359 1.03952i
\(763\) 12.3080 + 6.57876i 0.445579 + 0.238167i
\(764\) −2.67777 + 0.135188i −0.0968783 + 0.00489092i
\(765\) 0.623059 + 3.00723i 0.0225267 + 0.108727i
\(766\) 7.36709 + 7.00455i 0.266184 + 0.253085i
\(767\) −19.3955 −0.700330
\(768\) −11.6129 + 25.1623i −0.419045 + 0.907966i
\(769\) 15.8680 0.572214 0.286107 0.958198i \(-0.407639\pi\)
0.286107 + 0.958198i \(0.407639\pi\)
\(770\) 17.1519 + 16.3078i 0.618111 + 0.587693i
\(771\) −3.88219 2.85539i −0.139814 0.102834i
\(772\) 8.78862 0.443695i 0.316309 0.0159689i
\(773\) 18.9977 + 10.1545i 0.683301 + 0.365232i