Properties

Label 441.2.bh.a.41.48
Level $441$
Weight $2$
Character 441.41
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bh (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 41.48
Character \(\chi\) \(=\) 441.41
Dual form 441.2.bh.a.398.48

$q$-expansion

\(f(q)\) \(=\) \(q+(2.17816 + 0.854863i) q^{2} +(1.72389 - 0.167981i) q^{3} +(2.54747 + 2.36371i) q^{4} +(0.217005 - 2.89572i) q^{5} +(3.89849 + 1.10780i) q^{6} +(-2.64474 + 0.0731616i) q^{7} +(1.49765 + 3.10990i) q^{8} +(2.94356 - 0.579161i) q^{9} +O(q^{10})\) \(q+(2.17816 + 0.854863i) q^{2} +(1.72389 - 0.167981i) q^{3} +(2.54747 + 2.36371i) q^{4} +(0.217005 - 2.89572i) q^{5} +(3.89849 + 1.10780i) q^{6} +(-2.64474 + 0.0731616i) q^{7} +(1.49765 + 3.10990i) q^{8} +(2.94356 - 0.579161i) q^{9} +(2.94812 - 6.12183i) q^{10} +(-3.18378 - 1.24954i) q^{11} +(4.78860 + 3.64683i) q^{12} +(0.797972 + 5.29420i) q^{13} +(-5.82320 - 2.10153i) q^{14} +(-0.112336 - 5.02835i) q^{15} +(0.0841755 + 1.12324i) q^{16} +(0.598618 + 2.62272i) q^{17} +(6.90665 + 1.25484i) q^{18} +3.20566i q^{19} +(7.39745 - 6.86383i) q^{20} +(-4.54694 + 0.570389i) q^{21} +(-5.86658 - 5.44339i) q^{22} +(-5.71785 + 6.16238i) q^{23} +(3.10418 + 5.10953i) q^{24} +(-3.39398 - 0.511560i) q^{25} +(-2.78771 + 12.2137i) q^{26} +(4.97708 - 1.49287i) q^{27} +(-6.91032 - 6.06501i) q^{28} +(-6.02182 - 6.48998i) q^{29} +(4.05387 - 11.0486i) q^{30} +(4.22906 + 2.44165i) q^{31} +(1.25795 - 4.07819i) q^{32} +(-5.69837 - 1.61925i) q^{33} +(-0.938182 + 6.22443i) q^{34} +(-0.362065 + 7.67431i) q^{35} +(8.86761 + 5.48233i) q^{36} +(-0.00925870 - 0.0405650i) q^{37} +(-2.74040 + 6.98244i) q^{38} +(2.26494 + 8.99255i) q^{39} +(9.33040 - 3.66191i) q^{40} +(0.704310 - 9.39837i) q^{41} +(-10.3915 - 2.64462i) q^{42} +(-0.383109 - 5.11223i) q^{43} +(-5.15703 - 10.7087i) q^{44} +(-1.03832 - 8.64943i) q^{45} +(-17.7224 + 8.53464i) q^{46} +(-1.63657 + 4.16992i) q^{47} +(0.333793 + 1.92220i) q^{48} +(6.98929 - 0.386987i) q^{49} +(-6.95530 - 4.01564i) q^{50} +(1.47252 + 4.42071i) q^{51} +(-10.4811 + 15.3730i) q^{52} +(0.267296 + 0.0610085i) q^{53} +(12.1171 + 1.00302i) q^{54} +(-4.30922 + 8.94820i) q^{55} +(-4.18841 - 8.11529i) q^{56} +(0.538492 + 5.52620i) q^{57} +(-7.56843 - 19.2840i) q^{58} +(9.51729 - 6.48878i) q^{59} +(11.5994 - 13.0751i) q^{60} +(0.682114 + 0.735144i) q^{61} +(7.12428 + 8.93356i) q^{62} +(-7.74259 + 1.74709i) q^{63} +(7.63090 - 9.56885i) q^{64} +(15.5037 - 1.16184i) q^{65} +(-11.0277 - 8.39831i) q^{66} +(-2.84606 + 4.92952i) q^{67} +(-4.67437 + 8.09625i) q^{68} +(-8.82176 + 11.5837i) q^{69} +(-7.34912 + 16.4063i) q^{70} +(10.8006 + 2.46517i) q^{71} +(6.20955 + 8.28680i) q^{72} +(-2.74928 - 2.19247i) q^{73} +(0.0145106 - 0.0962719i) q^{74} +(-5.93676 - 0.311746i) q^{75} +(-7.57725 + 8.16633i) q^{76} +(8.51169 + 3.07178i) q^{77} +(-2.75401 + 21.5234i) q^{78} +(-4.95531 - 8.58285i) q^{79} +3.27087 q^{80} +(8.32914 - 3.40960i) q^{81} +(9.56842 - 19.8690i) q^{82} +(0.483462 + 0.0728702i) q^{83} +(-12.9314 - 9.29458i) q^{84} +(7.72457 - 1.16429i) q^{85} +(3.53579 - 11.4627i) q^{86} +(-11.4711 - 10.1764i) q^{87} +(-0.882234 - 11.7726i) q^{88} +(6.98508 - 8.75902i) q^{89} +(5.13245 - 19.7274i) q^{90} +(-2.49776 - 13.9434i) q^{91} +(-29.1321 + 2.18315i) q^{92} +(7.70057 + 3.49872i) q^{93} +(-7.12942 + 7.68369i) q^{94} +(9.28272 + 0.695644i) q^{95} +(1.48351 - 7.24164i) q^{96} +(-5.28392 + 3.05067i) q^{97} +(15.5546 + 5.13197i) q^{98} +(-10.0954 - 1.83419i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 15 q^{2} - 14 q^{3} - 57 q^{4} - 21 q^{5} + 14 q^{6} - 5 q^{7} - 20 q^{9} + O(q^{10}) \) \( 648 q - 15 q^{2} - 14 q^{3} - 57 q^{4} - 21 q^{5} + 14 q^{6} - 5 q^{7} - 20 q^{9} - 28 q^{10} - 15 q^{11} + 21 q^{12} - 7 q^{13} - 114 q^{14} - 10 q^{15} + 39 q^{16} - 18 q^{18} - 21 q^{20} + 10 q^{21} + 3 q^{22} + 30 q^{23} - 14 q^{24} + 41 q^{25} + 7 q^{27} - 20 q^{28} + 75 q^{29} - 70 q^{30} - 39 q^{32} - 14 q^{33} - 7 q^{34} - 128 q^{36} - 10 q^{37} + 21 q^{38} - 36 q^{39} - 7 q^{40} - 21 q^{41} + 104 q^{42} + 3 q^{43} - 35 q^{45} - 72 q^{46} - 147 q^{47} - 13 q^{49} - 18 q^{50} + 22 q^{51} - 35 q^{52} - 14 q^{54} - 112 q^{55} - 63 q^{56} - 16 q^{57} + 33 q^{58} - 21 q^{59} - 90 q^{60} - 56 q^{61} - 38 q^{63} + 52 q^{64} + 27 q^{65} - 42 q^{66} - 26 q^{67} - 182 q^{69} - 25 q^{70} + 24 q^{72} - 28 q^{73} + 33 q^{74} - 14 q^{75} + 21 q^{76} + 3 q^{77} + 90 q^{78} - 2 q^{79} + 56 q^{81} - 28 q^{82} - 21 q^{83} + 116 q^{84} + 5 q^{85} - 123 q^{86} - 70 q^{87} - 41 q^{88} - 224 q^{90} - 4 q^{91} - 225 q^{92} + 112 q^{93} - 7 q^{94} - 12 q^{95} - 371 q^{96} + 224 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.17816 + 0.854863i 1.54019 + 0.604480i 0.975339 0.220714i \(-0.0708387\pi\)
0.564850 + 0.825193i \(0.308934\pi\)
\(3\) 1.72389 0.167981i 0.995286 0.0969840i
\(4\) 2.54747 + 2.36371i 1.27373 + 1.18185i
\(5\) 0.217005 2.89572i 0.0970474 1.29501i −0.709866 0.704337i \(-0.751244\pi\)
0.806913 0.590670i \(-0.201137\pi\)
\(6\) 3.89849 + 1.10780i 1.59155 + 0.452256i
\(7\) −2.64474 + 0.0731616i −0.999618 + 0.0276525i
\(8\) 1.49765 + 3.10990i 0.529498 + 1.09951i
\(9\) 2.94356 0.579161i 0.981188 0.193054i
\(10\) 2.94812 6.12183i 0.932277 1.93589i
\(11\) −3.18378 1.24954i −0.959946 0.376751i −0.166942 0.985967i \(-0.553389\pi\)
−0.793005 + 0.609216i \(0.791484\pi\)
\(12\) 4.78860 + 3.64683i 1.38235 + 1.05275i
\(13\) 0.797972 + 5.29420i 0.221318 + 1.46835i 0.773061 + 0.634332i \(0.218725\pi\)
−0.551743 + 0.834014i \(0.686037\pi\)
\(14\) −5.82320 2.10153i −1.55632 0.561658i
\(15\) −0.112336 5.02835i −0.0290052 1.29831i
\(16\) 0.0841755 + 1.12324i 0.0210439 + 0.280811i
\(17\) 0.598618 + 2.62272i 0.145186 + 0.636103i 0.994183 + 0.107705i \(0.0343500\pi\)
−0.848997 + 0.528398i \(0.822793\pi\)
\(18\) 6.90665 + 1.25484i 1.62791 + 0.295769i
\(19\) 3.20566i 0.735430i 0.929939 + 0.367715i \(0.119860\pi\)
−0.929939 + 0.367715i \(0.880140\pi\)
\(20\) 7.39745 6.86383i 1.65412 1.53480i
\(21\) −4.54694 + 0.570389i −0.992223 + 0.124469i
\(22\) −5.86658 5.44339i −1.25076 1.16054i
\(23\) −5.71785 + 6.16238i −1.19225 + 1.28494i −0.243148 + 0.969989i \(0.578180\pi\)
−0.949106 + 0.314955i \(0.898010\pi\)
\(24\) 3.10418 + 5.10953i 0.633637 + 1.04298i
\(25\) −3.39398 0.511560i −0.678795 0.102312i
\(26\) −2.78771 + 12.2137i −0.546714 + 2.39531i
\(27\) 4.97708 1.49287i 0.957840 0.287303i
\(28\) −6.91032 6.06501i −1.30593 1.14618i
\(29\) −6.02182 6.48998i −1.11822 1.20516i −0.976560 0.215245i \(-0.930945\pi\)
−0.141665 0.989915i \(-0.545245\pi\)
\(30\) 4.05387 11.0486i 0.740131 2.01718i
\(31\) 4.22906 + 2.44165i 0.759561 + 0.438533i 0.829138 0.559044i \(-0.188832\pi\)
−0.0695768 + 0.997577i \(0.522165\pi\)
\(32\) 1.25795 4.07819i 0.222377 0.720928i
\(33\) −5.69837 1.61925i −0.991960 0.281876i
\(34\) −0.938182 + 6.22443i −0.160897 + 1.06748i
\(35\) −0.362065 + 7.67431i −0.0612001 + 1.29720i
\(36\) 8.86761 + 5.48233i 1.47793 + 0.913721i
\(37\) −0.00925870 0.0405650i −0.00152212 0.00666885i 0.974161 0.225854i \(-0.0725172\pi\)
−0.975683 + 0.219185i \(0.929660\pi\)
\(38\) −2.74040 + 6.98244i −0.444552 + 1.13270i
\(39\) 2.26494 + 8.99255i 0.362680 + 1.43996i
\(40\) 9.33040 3.66191i 1.47527 0.578999i
\(41\) 0.704310 9.39837i 0.109995 1.46778i −0.620149 0.784484i \(-0.712928\pi\)
0.730143 0.683294i \(-0.239453\pi\)
\(42\) −10.3915 2.64462i −1.60345 0.408073i
\(43\) −0.383109 5.11223i −0.0584235 0.779608i −0.947072 0.321020i \(-0.895974\pi\)
0.888649 0.458588i \(-0.151645\pi\)
\(44\) −5.15703 10.7087i −0.777452 1.61440i
\(45\) −1.03832 8.64943i −0.154784 1.28938i
\(46\) −17.7224 + 8.53464i −2.61302 + 1.25836i
\(47\) −1.63657 + 4.16992i −0.238719 + 0.608245i −0.999152 0.0411706i \(-0.986891\pi\)
0.760433 + 0.649416i \(0.224987\pi\)
\(48\) 0.333793 + 1.92220i 0.0481789 + 0.277446i
\(49\) 6.98929 0.386987i 0.998471 0.0552838i
\(50\) −6.95530 4.01564i −0.983628 0.567898i
\(51\) 1.47252 + 4.42071i 0.206194 + 0.619023i
\(52\) −10.4811 + 15.3730i −1.45347 + 2.13185i
\(53\) 0.267296 + 0.0610085i 0.0367159 + 0.00838017i 0.240839 0.970565i \(-0.422577\pi\)
−0.204124 + 0.978945i \(0.565434\pi\)
\(54\) 12.1171 + 1.00302i 1.64892 + 0.136493i
\(55\) −4.30922 + 8.94820i −0.581056 + 1.20657i
\(56\) −4.18841 8.11529i −0.559700 1.08445i
\(57\) 0.538492 + 5.52620i 0.0713250 + 0.731963i
\(58\) −7.56843 19.2840i −0.993783 2.53212i
\(59\) 9.51729 6.48878i 1.23905 0.844767i 0.246801 0.969066i \(-0.420621\pi\)
0.992245 + 0.124299i \(0.0396683\pi\)
\(60\) 11.5994 13.0751i 1.49747 1.68799i
\(61\) 0.682114 + 0.735144i 0.0873358 + 0.0941256i 0.775207 0.631707i \(-0.217645\pi\)
−0.687872 + 0.725832i \(0.741455\pi\)
\(62\) 7.12428 + 8.93356i 0.904784 + 1.13456i
\(63\) −7.74259 + 1.74709i −0.975475 + 0.220112i
\(64\) 7.63090 9.56885i 0.953863 1.19611i
\(65\) 15.5037 1.16184i 1.92300 0.144109i
\(66\) −11.0277 8.39831i −1.35742 1.03376i
\(67\) −2.84606 + 4.92952i −0.347701 + 0.602236i −0.985841 0.167684i \(-0.946371\pi\)
0.638139 + 0.769921i \(0.279704\pi\)
\(68\) −4.67437 + 8.09625i −0.566851 + 0.981815i
\(69\) −8.82176 + 11.5837i −1.06201 + 1.39452i
\(70\) −7.34912 + 16.4063i −0.878388 + 1.96093i
\(71\) 10.8006 + 2.46517i 1.28179 + 0.292561i 0.808580 0.588386i \(-0.200236\pi\)
0.473215 + 0.880947i \(0.343094\pi\)
\(72\) 6.20955 + 8.28680i 0.731802 + 0.976609i
\(73\) −2.74928 2.19247i −0.321778 0.256610i 0.449256 0.893403i \(-0.351689\pi\)
−0.771035 + 0.636793i \(0.780260\pi\)
\(74\) 0.0145106 0.0962719i 0.00168683 0.0111914i
\(75\) −5.93676 0.311746i −0.685518 0.0359973i
\(76\) −7.57725 + 8.16633i −0.869170 + 0.936742i
\(77\) 8.51169 + 3.07178i 0.969997 + 0.350062i
\(78\) −2.75401 + 21.5234i −0.311830 + 2.43704i
\(79\) −4.95531 8.58285i −0.557516 0.965646i −0.997703 0.0677396i \(-0.978421\pi\)
0.440187 0.897906i \(-0.354912\pi\)
\(80\) 3.27087 0.365695
\(81\) 8.32914 3.40960i 0.925461 0.378844i
\(82\) 9.56842 19.8690i 1.05665 2.19417i
\(83\) 0.483462 + 0.0728702i 0.0530669 + 0.00799855i 0.175522 0.984476i \(-0.443839\pi\)
−0.122455 + 0.992474i \(0.539077\pi\)
\(84\) −12.9314 9.29458i −1.41093 1.01412i
\(85\) 7.72457 1.16429i 0.837848 0.126285i
\(86\) 3.53579 11.4627i 0.381274 1.23606i
\(87\) −11.4711 10.1764i −1.22983 1.09103i
\(88\) −0.882234 11.7726i −0.0940465 1.25496i
\(89\) 6.98508 8.75902i 0.740417 0.928454i −0.258881 0.965909i \(-0.583354\pi\)
0.999298 + 0.0374552i \(0.0119251\pi\)
\(90\) 5.13245 19.7274i 0.541008 2.07945i
\(91\) −2.49776 13.9434i −0.261836 1.46166i
\(92\) −29.1321 + 2.18315i −3.03723 + 0.227609i
\(93\) 7.70057 + 3.49872i 0.798511 + 0.362800i
\(94\) −7.12942 + 7.68369i −0.735344 + 0.792512i
\(95\) 9.28272 + 0.695644i 0.952387 + 0.0713715i
\(96\) 1.48351 7.24164i 0.151410 0.739097i
\(97\) −5.28392 + 3.05067i −0.536501 + 0.309749i −0.743660 0.668559i \(-0.766912\pi\)
0.207159 + 0.978307i \(0.433578\pi\)
\(98\) 15.5546 + 5.13197i 1.57125 + 0.518408i
\(99\) −10.0954 1.83419i −1.01462 0.184343i
\(100\) −7.43687 9.32555i −0.743687 0.932555i
\(101\) 5.64323 + 3.84749i 0.561522 + 0.382840i 0.810561 0.585654i \(-0.199162\pi\)
−0.249039 + 0.968494i \(0.580115\pi\)
\(102\) −0.571730 + 10.8878i −0.0566097 + 1.07805i
\(103\) −7.61308 0.570521i −0.750139 0.0562151i −0.305827 0.952087i \(-0.598933\pi\)
−0.444312 + 0.895872i \(0.646552\pi\)
\(104\) −15.2693 + 10.4104i −1.49728 + 1.02083i
\(105\) 0.664983 + 13.2905i 0.0648957 + 1.29702i
\(106\) 0.530058 + 0.361388i 0.0514838 + 0.0351011i
\(107\) −10.5374 8.40326i −1.01868 0.812374i −0.0363182 0.999340i \(-0.511563\pi\)
−0.982366 + 0.186966i \(0.940134\pi\)
\(108\) 16.2077 + 7.96131i 1.55958 + 0.766078i
\(109\) 3.87839 + 4.86335i 0.371482 + 0.465824i 0.932074 0.362268i \(-0.117998\pi\)
−0.560592 + 0.828092i \(0.689426\pi\)
\(110\) −17.0356 + 15.8068i −1.62429 + 1.50712i
\(111\) −0.0227751 0.0683742i −0.00216172 0.00648979i
\(112\) −0.304801 2.96453i −0.0288010 0.280122i
\(113\) −3.39430 + 1.33217i −0.319309 + 0.125320i −0.519582 0.854421i \(-0.673912\pi\)
0.200273 + 0.979740i \(0.435817\pi\)
\(114\) −3.55123 + 12.4973i −0.332603 + 1.17048i
\(115\) 16.6038 + 17.8946i 1.54831 + 1.66868i
\(116\) 30.7669i 2.85663i
\(117\) 5.41507 + 15.1217i 0.500624 + 1.39800i
\(118\) 26.2772 5.99759i 2.41901 0.552123i
\(119\) −1.77507 6.89261i −0.162721 0.631845i
\(120\) 15.4694 7.88005i 1.41216 0.719347i
\(121\) 0.511536 + 0.474636i 0.0465032 + 0.0431487i
\(122\) 0.857303 + 2.18437i 0.0776166 + 0.197764i
\(123\) −0.364599 16.3200i −0.0328748 1.47153i
\(124\) 5.00206 + 16.2163i 0.449198 + 1.45626i
\(125\) 1.01299 4.43818i 0.0906042 0.396963i
\(126\) −18.3581 2.81343i −1.63547 0.250640i
\(127\) 4.10799 + 17.9983i 0.364525 + 1.59709i 0.741559 + 0.670888i \(0.234087\pi\)
−0.377034 + 0.926199i \(0.623056\pi\)
\(128\) 17.4093 10.0513i 1.53878 0.888416i
\(129\) −1.51920 8.74855i −0.133758 0.770267i
\(130\) 34.7627 + 10.7229i 3.04889 + 0.940458i
\(131\) −10.5362 + 7.18349i −0.920556 + 0.627625i −0.928094 0.372347i \(-0.878553\pi\)
0.00753729 + 0.999972i \(0.497601\pi\)
\(132\) −10.6890 17.5943i −0.930358 1.53139i
\(133\) −0.234532 8.47815i −0.0203365 0.735149i
\(134\) −10.4132 + 8.30427i −0.899565 + 0.717379i
\(135\) −3.24290 14.7362i −0.279104 1.26829i
\(136\) −7.25986 + 5.78955i −0.622528 + 0.496450i
\(137\) 2.07126 0.155220i 0.176960 0.0132613i 0.0140446 0.999901i \(-0.495529\pi\)
0.162915 + 0.986640i \(0.447910\pi\)
\(138\) −29.1177 + 17.6898i −2.47866 + 1.50585i
\(139\) −4.39484 0.329348i −0.372766 0.0279349i −0.112970 0.993598i \(-0.536036\pi\)
−0.259796 + 0.965664i \(0.583655\pi\)
\(140\) −19.0622 + 18.6943i −1.61105 + 1.57995i
\(141\) −2.12080 + 7.46338i −0.178603 + 0.628530i
\(142\) 21.4180 + 14.6025i 1.79736 + 1.22542i
\(143\) 4.07475 17.8527i 0.340748 1.49291i
\(144\) 0.898316 + 3.25759i 0.0748596 + 0.271466i
\(145\) −20.1000 + 16.0292i −1.66921 + 1.33115i
\(146\) −4.11409 7.12581i −0.340484 0.589736i
\(147\) 11.9837 1.84119i 0.988402 0.151859i
\(148\) 0.0722975 0.125223i 0.00594282 0.0102933i
\(149\) −1.00912 6.69505i −0.0826700 0.548480i −0.991377 0.131044i \(-0.958167\pi\)
0.908706 0.417436i \(-0.137071\pi\)
\(150\) −12.6647 5.75415i −1.03407 0.469824i
\(151\) 1.87850 0.579442i 0.152871 0.0471543i −0.217375 0.976088i \(-0.569750\pi\)
0.370246 + 0.928934i \(0.379273\pi\)
\(152\) −9.96928 + 4.80095i −0.808615 + 0.389409i
\(153\) 3.28105 + 7.37345i 0.265257 + 0.596108i
\(154\) 15.9138 + 13.9672i 1.28237 + 1.12551i
\(155\) 7.98807 11.7163i 0.641617 0.941079i
\(156\) −15.4859 + 28.2619i −1.23986 + 2.26276i
\(157\) 4.08291 + 5.98853i 0.325852 + 0.477937i 0.953852 0.300276i \(-0.0970788\pi\)
−0.628000 + 0.778213i \(0.716126\pi\)
\(158\) −3.45628 22.9309i −0.274967 1.82428i
\(159\) 0.471036 + 0.0602710i 0.0373556 + 0.00477980i
\(160\) −11.5363 4.52767i −0.912026 0.357944i
\(161\) 14.6714 16.7162i 1.15627 1.31742i
\(162\) 21.0569 0.306353i 1.65439 0.0240694i
\(163\) −15.7968 7.60734i −1.23730 0.595853i −0.303223 0.952920i \(-0.598063\pi\)
−0.934079 + 0.357066i \(0.883777\pi\)
\(164\) 24.0092 22.2773i 1.87480 1.73956i
\(165\) −5.92548 + 16.1495i −0.461298 + 1.25724i
\(166\) 0.990762 + 0.572017i 0.0768981 + 0.0443971i
\(167\) 0.838572 + 0.258665i 0.0648906 + 0.0200161i 0.327031 0.945014i \(-0.393952\pi\)
−0.262140 + 0.965030i \(0.584428\pi\)
\(168\) −8.58356 13.2863i −0.662236 1.02506i
\(169\) −14.9693 + 4.61742i −1.15149 + 0.355186i
\(170\) 17.8206 + 4.06744i 1.36678 + 0.311959i
\(171\) 1.85660 + 9.43608i 0.141977 + 0.721595i
\(172\) 11.1079 13.9288i 0.846966 1.06206i
\(173\) −4.98152 + 1.53659i −0.378738 + 0.116825i −0.478278 0.878208i \(-0.658739\pi\)
0.0995405 + 0.995034i \(0.468263\pi\)
\(174\) −16.2865 31.9721i −1.23467 2.42380i
\(175\) 9.01361 + 1.10463i 0.681365 + 0.0835024i
\(176\) 1.13554 3.68134i 0.0855949 0.277492i
\(177\) 15.3167 12.7846i 1.15128 0.960952i
\(178\) 22.7024 13.1072i 1.70161 0.982428i
\(179\) −8.08373 + 1.84506i −0.604206 + 0.137906i −0.513671 0.857987i \(-0.671715\pi\)
−0.0905351 + 0.995893i \(0.528858\pi\)
\(180\) 17.7996 24.4885i 1.32671 1.82526i
\(181\) −1.19410 0.952260i −0.0887565 0.0707809i 0.578106 0.815961i \(-0.303792\pi\)
−0.666863 + 0.745181i \(0.732363\pi\)
\(182\) 6.47918 32.5061i 0.480269 2.40951i
\(183\) 1.29938 + 1.15272i 0.0960527 + 0.0852117i
\(184\) −27.7277 8.55285i −2.04411 0.630525i
\(185\) −0.119474 + 0.0180079i −0.00878393 + 0.00132396i
\(186\) 13.7821 + 14.2037i 1.01055 + 1.04147i
\(187\) 1.37133 9.09816i 0.100281 0.665323i
\(188\) −14.0256 + 6.75436i −1.02292 + 0.492613i
\(189\) −13.0539 + 4.31239i −0.949529 + 0.313680i
\(190\) 19.6245 + 9.45068i 1.42371 + 0.685624i
\(191\) −12.1397 + 17.8057i −0.878401 + 1.28838i 0.0781890 + 0.996939i \(0.475086\pi\)
−0.956590 + 0.291438i \(0.905866\pi\)
\(192\) 11.5474 17.7774i 0.833363 1.28298i
\(193\) 0.637484 8.50663i 0.0458871 0.612321i −0.926099 0.377281i \(-0.876859\pi\)
0.971986 0.235039i \(-0.0755219\pi\)
\(194\) −14.1171 + 2.12781i −1.01355 + 0.152768i
\(195\) 26.5314 4.60721i 1.89996 0.329929i
\(196\) 18.7197 + 15.5348i 1.33712 + 1.10963i
\(197\) 17.7088i 1.26170i 0.775905 + 0.630850i \(0.217294\pi\)
−0.775905 + 0.630850i \(0.782706\pi\)
\(198\) −20.4213 12.6253i −1.45128 0.897240i
\(199\) 6.45938 + 13.4130i 0.457893 + 0.950826i 0.994275 + 0.106850i \(0.0340765\pi\)
−0.536382 + 0.843976i \(0.680209\pi\)
\(200\) −3.49208 11.3210i −0.246927 0.800519i
\(201\) −4.07821 + 8.97601i −0.287655 + 0.633119i
\(202\) 9.00276 + 13.2046i 0.633432 + 0.929074i
\(203\) 16.4010 + 16.7237i 1.15112 + 1.17378i
\(204\) −6.69807 + 14.7422i −0.468959 + 1.03216i
\(205\) −27.0622 4.07898i −1.89011 0.284888i
\(206\) −16.0948 7.75083i −1.12137 0.540026i
\(207\) −13.2619 + 21.4509i −0.921763 + 1.49094i
\(208\) −5.87951 + 1.34196i −0.407670 + 0.0930481i
\(209\) 4.00561 10.2061i 0.277074 0.705973i
\(210\) −9.91309 + 29.5172i −0.684068 + 2.03688i
\(211\) 5.61843 + 14.3155i 0.386788 + 0.985521i 0.983149 + 0.182804i \(0.0585175\pi\)
−0.596361 + 0.802716i \(0.703387\pi\)
\(212\) 0.536722 + 0.787226i 0.0368622 + 0.0540669i
\(213\) 19.0331 + 2.43537i 1.30413 + 0.166869i
\(214\) −15.7684 27.3116i −1.07790 1.86698i
\(215\) −14.8868 −1.01527
\(216\) 12.0966 + 13.2424i 0.823068 + 0.901032i
\(217\) −11.3634 6.14812i −0.771397 0.417362i
\(218\) 4.29024 + 13.9086i 0.290572 + 0.942011i
\(219\) −5.10773 3.31775i −0.345149 0.224193i
\(220\) −32.1285 + 12.6095i −2.16610 + 0.850133i
\(221\) −13.4075 + 5.26206i −0.901887 + 0.353964i
\(222\) 0.00884283 0.168399i 0.000593492 0.0113022i
\(223\) 2.94878 + 9.55970i 0.197465 + 0.640165i 0.999103 + 0.0423549i \(0.0134860\pi\)
−0.801638 + 0.597810i \(0.796038\pi\)
\(224\) −3.02859 + 10.8778i −0.202356 + 0.726802i
\(225\) −10.2867 + 0.459850i −0.685778 + 0.0306567i
\(226\) −8.53214 −0.567550
\(227\) 4.47327 + 7.74793i 0.296901 + 0.514248i 0.975425 0.220330i \(-0.0707134\pi\)
−0.678524 + 0.734578i \(0.737380\pi\)
\(228\) −11.6905 + 15.3507i −0.774223 + 1.01662i
\(229\) −7.42790 10.8947i −0.490849 0.719944i 0.498276 0.867018i \(-0.333967\pi\)
−0.989125 + 0.147075i \(0.953014\pi\)
\(230\) 20.8681 + 53.1711i 1.37600 + 3.50600i
\(231\) 15.1892 + 3.86560i 0.999375 + 0.254338i
\(232\) 11.1646 28.4469i 0.732992 1.86763i
\(233\) 17.5788 4.01225i 1.15163 0.262851i 0.396250 0.918143i \(-0.370311\pi\)
0.755376 + 0.655291i \(0.227454\pi\)
\(234\) −1.13207 + 37.5665i −0.0740058 + 2.45580i
\(235\) 11.7198 + 5.64396i 0.764515 + 0.368171i
\(236\) 39.5826 + 5.96611i 2.57661 + 0.388361i
\(237\) −9.98414 13.9634i −0.648540 0.907023i
\(238\) 2.02586 16.5306i 0.131317 1.07152i
\(239\) −8.01523 11.7562i −0.518462 0.760444i 0.474323 0.880351i \(-0.342693\pi\)
−0.992785 + 0.119907i \(0.961740\pi\)
\(240\) 5.63861 0.549445i 0.363971 0.0354666i
\(241\) 6.10576 + 19.7944i 0.393307 + 1.27507i 0.908460 + 0.417971i \(0.137259\pi\)
−0.515154 + 0.857098i \(0.672265\pi\)
\(242\) 0.708456 + 1.47112i 0.0455413 + 0.0945674i
\(243\) 13.7857 7.27690i 0.884356 0.466813i
\(244\) 3.48507i 0.223109i
\(245\) 0.396102 20.3231i 0.0253060 1.29839i
\(246\) 13.1572 35.8592i 0.838875 2.28630i
\(247\) −16.9714 + 2.55803i −1.07987 + 0.162764i
\(248\) −1.25963 + 16.8087i −0.0799869 + 1.06735i
\(249\) 0.845675 + 0.0444073i 0.0535925 + 0.00281420i
\(250\) 6.00048 8.80109i 0.379504 0.556630i
\(251\) 9.67035 + 4.65700i 0.610387 + 0.293947i 0.713426 0.700730i \(-0.247142\pi\)
−0.103039 + 0.994677i \(0.532857\pi\)
\(252\) −23.8536 13.8506i −1.50264 0.872503i
\(253\) 25.9045 12.4750i 1.62860 0.784294i
\(254\) −6.43822 + 42.7148i −0.403970 + 2.68016i
\(255\) 13.1207 3.30469i 0.821650 0.206948i
\(256\) 22.3080 3.36240i 1.39425 0.210150i
\(257\) 8.84057 + 2.72695i 0.551459 + 0.170103i 0.557947 0.829876i \(-0.311589\pi\)
−0.00648814 + 0.999979i \(0.502065\pi\)
\(258\) 4.16977 20.3544i 0.259598 1.26721i
\(259\) 0.0274547 + 0.106607i 0.00170595 + 0.00662421i
\(260\) 42.2414 + 33.6864i 2.61970 + 2.08914i
\(261\) −21.4844 15.6161i −1.32985 0.966611i
\(262\) −29.0905 + 6.63972i −1.79722 + 0.410203i
\(263\) −8.90218 + 5.13968i −0.548932 + 0.316926i −0.748691 0.662919i \(-0.769317\pi\)
0.199759 + 0.979845i \(0.435984\pi\)
\(264\) −3.49845 20.1464i −0.215315 1.23993i
\(265\) 0.234668 0.760776i 0.0144156 0.0467341i
\(266\) 6.73681 18.6672i 0.413060 1.14456i
\(267\) 10.5701 16.2729i 0.646882 0.995886i
\(268\) −18.9022 + 5.83055i −1.15463 + 0.356157i
\(269\) 8.24859 10.3434i 0.502925 0.630648i −0.463961 0.885856i \(-0.653572\pi\)
0.966886 + 0.255207i \(0.0821437\pi\)
\(270\) 5.53392 34.8700i 0.336784 2.12212i
\(271\) 13.2632 + 3.02724i 0.805683 + 0.183892i 0.605478 0.795862i \(-0.292982\pi\)
0.200205 + 0.979754i \(0.435839\pi\)
\(272\) −2.89556 + 0.893163i −0.175569 + 0.0541560i
\(273\) −6.64808 23.6172i −0.402360 1.42938i
\(274\) 4.64422 + 1.43255i 0.280568 + 0.0865437i
\(275\) 10.1665 + 5.86961i 0.613061 + 0.353951i
\(276\) −49.8537 + 8.65715i −3.00084 + 0.521099i
\(277\) −9.73805 + 9.03559i −0.585103 + 0.542896i −0.916211 0.400697i \(-0.868768\pi\)
0.331108 + 0.943593i \(0.392578\pi\)
\(278\) −9.29111 4.47436i −0.557244 0.268354i
\(279\) 13.8626 + 4.73784i 0.829933 + 0.283647i
\(280\) −24.4086 + 10.3674i −1.45869 + 0.619572i
\(281\) 13.7391 + 5.39218i 0.819603 + 0.321671i 0.737835 0.674981i \(-0.235848\pi\)
0.0817679 + 0.996651i \(0.473943\pi\)
\(282\) −10.9996 + 14.4434i −0.655016 + 0.860093i
\(283\) −0.154160 1.02279i −0.00916388 0.0607984i 0.983782 0.179371i \(-0.0574063\pi\)
−0.992945 + 0.118573i \(0.962168\pi\)
\(284\) 21.6873 + 31.8094i 1.28690 + 1.88754i
\(285\) 16.1192 0.360113i 0.954819 0.0213313i
\(286\) 24.1370 35.4025i 1.42725 2.09340i
\(287\) −1.17512 + 24.9078i −0.0693650 + 1.47026i
\(288\) 1.34094 12.7330i 0.0790157 0.750297i
\(289\) 8.79616 4.23601i 0.517421 0.249177i
\(290\) −57.4836 + 17.7314i −3.37556 + 1.04122i
\(291\) −8.59642 + 6.14661i −0.503931 + 0.360321i
\(292\) −1.82133 12.0837i −0.106585 0.707148i
\(293\) −8.49703 + 14.7173i −0.496402 + 0.859793i −0.999991 0.00415008i \(-0.998679\pi\)
0.503590 + 0.863943i \(0.332012\pi\)
\(294\) 27.6764 + 6.23406i 1.61412 + 0.363578i
\(295\) −16.7244 28.9675i −0.973733 1.68656i
\(296\) 0.112287 0.0895457i 0.00652653 0.00520474i
\(297\) −17.7113 1.46610i −1.02772 0.0850715i
\(298\) 3.52534 15.4455i 0.204217 0.894735i
\(299\) −37.1875 25.3540i −2.15061 1.46626i
\(300\) −14.3868 14.8269i −0.830625 0.856033i
\(301\) 1.38724 + 13.4925i 0.0799593 + 0.777694i
\(302\) 4.58702 + 0.343750i 0.263953 + 0.0197806i
\(303\) 10.3746 + 5.68468i 0.596005 + 0.326576i
\(304\) −3.60074 + 0.269838i −0.206517 + 0.0154763i
\(305\) 2.27680 1.81568i 0.130369 0.103966i
\(306\) 0.843349 + 18.8654i 0.0482110 + 1.07846i
\(307\) 3.33551 2.65998i 0.190368 0.151813i −0.523668 0.851922i \(-0.675437\pi\)
0.714036 + 0.700109i \(0.246865\pi\)
\(308\) 14.4225 + 27.9444i 0.821797 + 1.59228i
\(309\) −13.2199 + 0.295341i −0.752055 + 0.0168014i
\(310\) 27.4151 18.6913i 1.55707 1.06160i
\(311\) 32.4090 + 9.99686i 1.83775 + 0.566870i 0.999776 + 0.0211542i \(0.00673410\pi\)
0.837970 + 0.545716i \(0.183742\pi\)
\(312\) −24.5738 + 20.5114i −1.39122 + 1.16123i
\(313\) 1.99744 1.15322i 0.112902 0.0651839i −0.442486 0.896776i \(-0.645903\pi\)
0.555388 + 0.831592i \(0.312570\pi\)
\(314\) 3.77384 + 16.5343i 0.212970 + 0.933084i
\(315\) 3.37890 + 22.7995i 0.190380 + 1.28461i
\(316\) 7.66383 33.5774i 0.431124 1.88888i
\(317\) −0.660319 2.14070i −0.0370872 0.120234i 0.935136 0.354288i \(-0.115277\pi\)
−0.972224 + 0.234054i \(0.924801\pi\)
\(318\) 0.974466 + 0.533951i 0.0546453 + 0.0299425i
\(319\) 11.0627 + 28.1872i 0.619390 + 1.57818i
\(320\) −26.0528 24.1735i −1.45640 1.35134i
\(321\) −19.5768 12.7162i −1.09267 0.709748i
\(322\) 46.2466 23.8685i 2.57722 1.33014i
\(323\) −8.40755 + 1.91897i −0.467809 + 0.106774i
\(324\) 29.2775 + 11.0018i 1.62653 + 0.611212i
\(325\) 18.3766i 1.01935i
\(326\) −27.9047 30.0741i −1.54550 1.66565i
\(327\) 7.50285 + 7.73236i 0.414909 + 0.427600i
\(328\) 30.2827 11.8851i 1.67208 0.656245i
\(329\) 4.02323 11.1481i 0.221808 0.614614i
\(330\) −26.7123 + 30.1107i −1.47046 + 1.65754i
\(331\) 16.8723 15.6552i 0.927384 0.860487i −0.0631150 0.998006i \(-0.520103\pi\)
0.990499 + 0.137520i \(0.0439130\pi\)
\(332\) 1.05936 + 1.32840i 0.0581400 + 0.0729053i
\(333\) −0.0507473 0.114043i −0.00278093 0.00624954i
\(334\) 1.60542 + 1.28028i 0.0878445 + 0.0700537i
\(335\) 13.6569 + 9.31113i 0.746157 + 0.508721i
\(336\) −1.02343 5.05931i −0.0558325 0.276008i
\(337\) −16.2373 + 11.0704i −0.884499 + 0.603041i −0.918080 0.396395i \(-0.870261\pi\)
0.0335809 + 0.999436i \(0.489309\pi\)
\(338\) −36.5528 2.73925i −1.98821 0.148996i
\(339\) −5.62761 + 2.86668i −0.305650 + 0.155697i
\(340\) 22.4302 + 15.2926i 1.21645 + 0.829359i
\(341\) −10.4135 13.0581i −0.563920 0.707134i
\(342\) −4.02260 + 22.1404i −0.217517 + 1.19722i
\(343\) −18.4566 + 1.53483i −0.996560 + 0.0828729i
\(344\) 15.3247 8.84775i 0.826255 0.477038i
\(345\) 31.6289 + 28.0591i 1.70284 + 1.51065i
\(346\) −12.1641 0.911573i −0.653946 0.0490065i
\(347\) −0.223439 + 0.240810i −0.0119948 + 0.0129273i −0.739021 0.673683i \(-0.764711\pi\)
0.727026 + 0.686610i \(0.240902\pi\)
\(348\) −5.16826 53.0385i −0.277048 2.84316i
\(349\) −28.1933 + 2.11279i −1.50915 + 0.113095i −0.803432 0.595396i \(-0.796995\pi\)
−0.705719 + 0.708492i \(0.749376\pi\)
\(350\) 18.6887 + 10.1115i 0.998955 + 0.540481i
\(351\) 11.8751 + 25.1584i 0.633847 + 1.34285i
\(352\) −9.10091 + 11.4122i −0.485080 + 0.608271i
\(353\) 0.488442 + 6.51780i 0.0259971 + 0.346908i 0.995001 + 0.0998629i \(0.0318404\pi\)
−0.969004 + 0.247045i \(0.920541\pi\)
\(354\) 44.2913 14.7532i 2.35406 0.784125i
\(355\) 9.48222 30.7406i 0.503264 1.63154i
\(356\) 38.4980 5.80264i 2.04039 0.307540i
\(357\) −4.21785 11.5839i −0.223232 0.613085i
\(358\) −19.1849 2.89166i −1.01395 0.152829i
\(359\) −6.65289 + 13.8149i −0.351126 + 0.729121i −0.999481 0.0322175i \(-0.989743\pi\)
0.648355 + 0.761338i \(0.275457\pi\)
\(360\) 25.3438 16.1829i 1.33573 0.852912i
\(361\) 8.72372 0.459143
\(362\) −1.78688 3.09496i −0.0939161 0.162667i
\(363\) 0.961559 + 0.732289i 0.0504688 + 0.0384352i
\(364\) 26.5951 41.4243i 1.39396 2.17122i
\(365\) −6.94541 + 7.48537i −0.363539 + 0.391802i
\(366\) 1.84483 + 3.62160i 0.0964306 + 0.189304i
\(367\) 4.31508 28.6287i 0.225245 1.49441i −0.535046 0.844823i \(-0.679706\pi\)
0.760291 0.649582i \(-0.225056\pi\)
\(368\) −7.40316 5.90382i −0.385916 0.307758i
\(369\) −3.36999 28.0726i −0.175434 1.46140i
\(370\) −0.275628 0.0629103i −0.0143292 0.00327055i
\(371\) −0.711391 0.141796i −0.0369336 0.00736168i
\(372\) 11.3470 + 27.1148i 0.588315 + 1.40583i
\(373\) 6.21304 10.7613i 0.321699 0.557199i −0.659140 0.752021i \(-0.729079\pi\)
0.980839 + 0.194821i \(0.0624127\pi\)
\(374\) 10.7646 18.6449i 0.556627 0.964106i
\(375\) 1.00074 7.82108i 0.0516780 0.403879i
\(376\) −15.4190 + 1.15550i −0.795175 + 0.0595901i
\(377\) 29.5540 37.0595i 1.52211 1.90866i
\(378\) −32.1199 1.76621i −1.65207 0.0908443i
\(379\) 6.49202 + 8.14073i 0.333472 + 0.418161i 0.920093 0.391701i \(-0.128113\pi\)
−0.586620 + 0.809862i \(0.699542\pi\)
\(380\) 22.0031 + 23.7138i 1.12874 + 1.21649i
\(381\) 10.1051 + 30.3369i 0.517698 + 1.55421i
\(382\) −41.6637 + 28.4058i −2.13170 + 1.45337i
\(383\) 11.0484 + 28.1508i 0.564545 + 1.43844i 0.873247 + 0.487278i \(0.162010\pi\)
−0.308702 + 0.951159i \(0.599895\pi\)
\(384\) 28.3233 20.2517i 1.44536 1.03346i
\(385\) 10.7421 23.9809i 0.547469 1.22218i
\(386\) 8.66054 17.9838i 0.440810 0.915351i
\(387\) −4.08851 14.8263i −0.207831 0.753663i
\(388\) −20.6715 4.71814i −1.04944 0.239527i
\(389\) 11.9758 17.5653i 0.607199 0.890597i −0.392375 0.919805i \(-0.628346\pi\)
0.999573 + 0.0292086i \(0.00929871\pi\)
\(390\) 61.7282 + 12.6455i 3.12573 + 0.640331i
\(391\) −19.5850 11.3074i −0.990456 0.571840i
\(392\) 11.6710 + 21.1564i 0.589474 + 1.06856i
\(393\) −16.9566 + 14.1534i −0.855347 + 0.713945i
\(394\) −15.1386 + 38.5725i −0.762672 + 1.94326i
\(395\) −25.9289 + 12.4867i −1.30462 + 0.628274i
\(396\) −21.3821 28.5350i −1.07449 1.43394i
\(397\) −6.39242 13.2740i −0.320826 0.666202i 0.676718 0.736242i \(-0.263402\pi\)
−0.997544 + 0.0700399i \(0.977687\pi\)
\(398\) 2.60322 + 34.7376i 0.130488 + 1.74124i
\(399\) −1.82848 14.5760i −0.0915383 0.729711i
\(400\) 0.288917 3.85533i 0.0144458 0.192766i
\(401\) 23.6911 9.29809i 1.18308 0.464324i 0.309450 0.950916i \(-0.399855\pi\)
0.873630 + 0.486592i \(0.161760\pi\)
\(402\) −16.5562 + 16.0648i −0.825750 + 0.801241i
\(403\) −9.55190 + 24.3378i −0.475814 + 1.21235i
\(404\) 5.28162 + 23.1403i 0.262771 + 1.15127i
\(405\) −8.06579 24.8588i −0.400792 1.23524i
\(406\) 21.4274 + 50.4475i 1.06342 + 2.50367i
\(407\) −0.0212100 + 0.140719i −0.00105134 + 0.00697520i
\(408\) −11.5426 + 11.2000i −0.571446 + 0.554484i
\(409\) −7.12826 + 23.1092i −0.352470 + 1.14268i 0.589723 + 0.807606i \(0.299237\pi\)
−0.942192 + 0.335073i \(0.891239\pi\)
\(410\) −55.4588 32.0192i −2.73892 1.58131i
\(411\) 3.54455 0.615514i 0.174840 0.0303611i
\(412\) −18.0455 19.4485i −0.889040 0.958157i
\(413\) −24.6960 + 17.8574i −1.21521 + 0.878707i
\(414\) −47.2240 + 35.3864i −2.32093 + 1.73915i
\(415\) 0.315926 1.38416i 0.0155082 0.0679458i
\(416\) 22.5945 + 3.40558i 1.10779 + 0.166972i
\(417\) −7.63153 + 0.170493i −0.373718 + 0.00834908i
\(418\) 17.4497 18.8063i 0.853492 0.919846i
\(419\) −24.4130 22.6520i −1.19265 1.10662i −0.991906 0.126977i \(-0.959472\pi\)
−0.200747 0.979643i \(-0.564337\pi\)
\(420\) −29.7207 + 35.4289i −1.45022 + 1.72875i
\(421\) 25.1243 23.3120i 1.22448 1.13616i 0.238180 0.971221i \(-0.423449\pi\)
0.986305 0.164934i \(-0.0527412\pi\)
\(422\) 35.9844i 1.75169i
\(423\) −2.40230 + 13.2223i −0.116804 + 0.642889i
\(424\) 0.210585 + 0.922631i 0.0102269 + 0.0448069i
\(425\) −0.690020 9.20768i −0.0334709 0.446638i
\(426\) 39.3751 + 21.5753i 1.90773 + 1.04533i
\(427\) −1.85780 1.89436i −0.0899052 0.0916745i
\(428\) −6.98075 46.3143i −0.337427 2.23868i
\(429\) 4.02550 31.4604i 0.194353 1.51892i
\(430\) −32.4257 12.7261i −1.56370 0.613709i
\(431\) −4.35771 + 9.04887i −0.209903 + 0.435869i −0.979165 0.203065i \(-0.934910\pi\)
0.769262 + 0.638934i \(0.220624\pi\)
\(432\) 2.09581 + 5.46481i 0.100835 + 0.262926i
\(433\) −6.13626 12.7421i −0.294890 0.612345i 0.699906 0.714235i \(-0.253225\pi\)
−0.994796 + 0.101890i \(0.967511\pi\)
\(434\) −19.4954 23.1057i −0.935811 1.10911i
\(435\) −31.9574 + 31.0089i −1.53224 + 1.48676i
\(436\) −1.61544 + 21.5566i −0.0773657 + 1.03237i
\(437\) −19.7545 18.3295i −0.944986 0.876819i
\(438\) −8.28922 11.5930i −0.396074 0.553934i
\(439\) −20.3223 7.97590i −0.969929 0.380669i −0.173120 0.984901i \(-0.555385\pi\)
−0.796809 + 0.604232i \(0.793480\pi\)
\(440\) −34.2817 −1.63431
\(441\) 20.3493 5.18705i 0.969015 0.247002i
\(442\) −33.7020 −1.60304
\(443\) −33.6794 13.2182i −1.60016 0.628016i −0.613336 0.789822i \(-0.710173\pi\)
−0.986823 + 0.161806i \(0.948268\pi\)
\(444\) 0.103598 0.228015i 0.00491652 0.0108211i
\(445\) −23.8479 22.1276i −1.13050 1.04895i
\(446\) −1.74934 + 23.3433i −0.0828336 + 1.10534i
\(447\) −2.86424 11.3720i −0.135474 0.537877i
\(448\) −19.4817 + 25.8654i −0.920423 + 1.22203i
\(449\) −2.24904 4.67019i −0.106139 0.220400i 0.841135 0.540826i \(-0.181888\pi\)
−0.947273 + 0.320426i \(0.896174\pi\)
\(450\) −22.7991 7.79207i −1.07476 0.367322i
\(451\) −13.9860 + 29.0423i −0.658576 + 1.36755i
\(452\) −11.7957 4.62948i −0.554824 0.217753i
\(453\) 3.14099 1.31445i 0.147577 0.0617580i
\(454\) 3.12006 + 20.7002i 0.146432 + 0.971510i
\(455\) −40.9182 + 4.20704i −1.91828 + 0.197229i
\(456\) −16.3794 + 9.95095i −0.767037 + 0.465996i
\(457\) 0.853200 + 11.3852i 0.0399110 + 0.532575i 0.980948 + 0.194271i \(0.0622342\pi\)
−0.941037 + 0.338304i \(0.890147\pi\)
\(458\) −6.86562 30.0803i −0.320809 1.40556i
\(459\) 6.89475 + 12.1598i 0.321820 + 0.567572i
\(460\) 84.8323i 3.95533i
\(461\) −13.4608 + 12.4898i −0.626931 + 0.581707i −0.928314 0.371796i \(-0.878742\pi\)
0.301384 + 0.953503i \(0.402552\pi\)
\(462\) 29.7799 + 21.4046i 1.38548 + 0.995830i
\(463\) −22.4659 20.8453i −1.04408 0.968762i −0.0445351 0.999008i \(-0.514181\pi\)
−0.999543 + 0.0302454i \(0.990371\pi\)
\(464\) 6.78295 7.31028i 0.314890 0.339371i
\(465\) 11.8024 21.5395i 0.547323 0.998870i
\(466\) 41.7193 + 6.28818i 1.93261 + 0.291294i
\(467\) 3.99779 17.5155i 0.184996 0.810520i −0.794209 0.607645i \(-0.792114\pi\)
0.979205 0.202875i \(-0.0650285\pi\)
\(468\) −21.9484 + 51.3216i −1.01457 + 2.37234i
\(469\) 7.16643 13.2455i 0.330915 0.611621i
\(470\) 20.7027 + 22.3122i 0.954946 + 1.02919i
\(471\) 8.04444 + 9.63769i 0.370668 + 0.444081i
\(472\) 34.4330 + 19.8799i 1.58491 + 0.915045i
\(473\) −5.16821 + 16.7549i −0.237635 + 0.770393i
\(474\) −9.81018 38.9496i −0.450597 1.78902i
\(475\) 1.63989 10.8800i 0.0752432 0.499206i
\(476\) 11.7702 21.7545i 0.539485 0.997114i
\(477\) 0.822136 + 0.0247752i 0.0376430 + 0.00113438i
\(478\) −7.40849 32.4587i −0.338856 1.48463i
\(479\) 12.4204 31.6467i 0.567503 1.44597i −0.302606 0.953116i \(-0.597857\pi\)
0.870109 0.492859i \(-0.164048\pi\)
\(480\) −20.6479 5.86730i −0.942442 0.267805i
\(481\) 0.207371 0.0813871i 0.00945530 0.00371093i
\(482\) −3.62220 + 48.3349i −0.164987 + 2.20159i
\(483\) 22.4838 31.2814i 1.02305 1.42335i
\(484\) 0.181222 + 2.41824i 0.00823736 + 0.109920i
\(485\) 7.68727 + 15.9628i 0.349061 + 0.724833i
\(486\) 36.2483 4.06529i 1.64425 0.184405i
\(487\) −30.7063 + 14.7874i −1.39144 + 0.670081i −0.971405 0.237428i \(-0.923695\pi\)
−0.420032 + 0.907509i \(0.637981\pi\)
\(488\) −1.26466 + 3.22229i −0.0572483 + 0.145866i
\(489\) −28.5098 10.4606i −1.28926 0.473046i
\(490\) 18.2362 43.9282i 0.823828 1.98447i
\(491\) −12.0650 6.96572i −0.544485 0.314358i 0.202410 0.979301i \(-0.435123\pi\)
−0.746895 + 0.664942i \(0.768456\pi\)
\(492\) 37.6469 42.4366i 1.69725 1.91319i
\(493\) 13.4166 19.6786i 0.604254 0.886278i
\(494\) −39.1532 8.93645i −1.76158 0.402070i
\(495\) −7.50203 + 28.8353i −0.337191 + 1.29605i
\(496\) −2.38658 + 4.95579i −0.107161 + 0.222522i
\(497\) −28.7451 5.72953i −1.28939 0.257005i
\(498\) 1.80405 + 0.819662i 0.0808414 + 0.0367300i
\(499\) 2.38567 + 6.07859i 0.106797 + 0.272115i 0.974276 0.225360i \(-0.0723558\pi\)
−0.867478 + 0.497475i \(0.834261\pi\)
\(500\) 13.0711 8.91173i 0.584558 0.398545i
\(501\) 1.48905 + 0.305045i 0.0665260 + 0.0136284i
\(502\) 17.0824 + 18.4105i 0.762427 + 0.821700i
\(503\) −7.70979 9.66777i −0.343763 0.431065i 0.579655 0.814862i \(-0.303187\pi\)
−0.923417 + 0.383798i \(0.874616\pi\)
\(504\) −17.0289 21.4621i −0.758528 0.955999i
\(505\) 12.3659 15.5063i 0.550274 0.690022i
\(506\) 67.0885 5.02759i 2.98245 0.223504i
\(507\) −25.0297 + 10.4745i −1.11161 + 0.465188i
\(508\) −32.0776 + 55.5601i −1.42321 + 2.46508i
\(509\) −19.5237 + 33.8160i −0.865371 + 1.49887i 0.00130794 + 0.999999i \(0.499584\pi\)
−0.866679 + 0.498867i \(0.833750\pi\)
\(510\) 31.4040 + 4.01828i 1.39059 + 0.177932i
\(511\) 7.43152 + 5.59738i 0.328751 + 0.247614i
\(512\) 12.2677 + 2.80003i 0.542162 + 0.123745i
\(513\) 4.78564 + 15.9548i 0.211291 + 0.704424i
\(514\) 16.9250 + 13.4972i 0.746528 + 0.595336i
\(515\) −3.30415 + 21.9216i −0.145598 + 0.965980i
\(516\) 16.8089 25.8776i 0.739970 1.13920i
\(517\) 10.4210 11.2311i 0.458314 0.493945i
\(518\) −0.0313335 + 0.255676i −0.00137671 + 0.0112337i
\(519\) −8.32945 + 3.48571i −0.365622 + 0.153006i
\(520\) 26.8323 + 46.4749i 1.17667 + 2.03806i
\(521\) −7.03655 −0.308277 −0.154139 0.988049i \(-0.549260\pi\)
−0.154139 + 0.988049i \(0.549260\pi\)
\(522\) −33.4467 52.3805i −1.46392 2.29263i
\(523\) −5.43752 + 11.2911i −0.237766 + 0.493727i −0.985372 0.170416i \(-0.945489\pi\)
0.747606 + 0.664143i \(0.231203\pi\)
\(524\) −43.8204 6.60487i −1.91430 0.288535i
\(525\) 15.7240 + 0.390144i 0.686251 + 0.0170273i
\(526\) −23.7841 + 3.58487i −1.03703 + 0.156308i
\(527\) −3.87216 + 12.5532i −0.168674 + 0.546828i
\(528\) 1.33915 6.53697i 0.0582791 0.284485i
\(529\) −3.56229 47.5354i −0.154882 2.06676i
\(530\) 1.16150 1.45648i 0.0504525 0.0632654i
\(531\) 24.2567 24.6122i 1.05265 1.06808i
\(532\) 19.4424 22.1522i 0.842934 0.960419i
\(533\) 50.3188 3.77087i 2.17955 0.163335i
\(534\) 36.9345 26.4089i 1.59831 1.14283i
\(535\) −26.6202 + 28.6897i −1.15089 + 1.24037i
\(536\) −19.5927 1.46827i −0.846274 0.0634195i
\(537\) −13.6255 + 4.53859i −0.587983 + 0.195854i
\(538\) 26.8089 15.4781i 1.15581 0.667310i
\(539\) −22.7359 7.50134i −0.979306 0.323105i
\(540\) 26.5709 45.2053i 1.14343 1.94533i
\(541\) −18.4912 23.1872i −0.794997 0.996895i −0.999836 0.0180996i \(-0.994238\pi\)
0.204839 0.978796i \(-0.434333\pi\)
\(542\) 26.3015 + 17.9321i 1.12975 + 0.770248i
\(543\) −2.21845 1.44100i −0.0952027 0.0618393i
\(544\) 11.4490 + 0.857982i 0.490870 + 0.0367857i
\(545\) 14.9245 10.1754i 0.639297 0.435865i
\(546\) 5.70895 57.1252i 0.244321 2.44473i
\(547\) 5.68996 + 3.87935i 0.243285 + 0.165869i 0.678824 0.734301i \(-0.262490\pi\)
−0.435539 + 0.900170i \(0.643442\pi\)
\(548\) 5.64337 + 4.50044i 0.241073 + 0.192249i
\(549\) 2.43361 + 1.76889i 0.103864 + 0.0754944i
\(550\) 17.1264 + 21.4759i 0.730273 + 0.915734i
\(551\) 20.8047 19.3039i 0.886310 0.822376i
\(552\) −49.2361 10.0864i −2.09563 0.429306i
\(553\) 13.7334 + 22.3369i 0.584005 + 0.949860i
\(554\) −28.9352 + 11.3562i −1.22934 + 0.482480i
\(555\) −0.202935 + 0.0511129i −0.00861411 + 0.00216962i
\(556\) −10.4172 11.2271i −0.441790 0.476136i
\(557\) 18.4015i 0.779698i −0.920879 0.389849i \(-0.872527\pi\)
0.920879 0.389849i \(-0.127473\pi\)
\(558\) 26.1447 + 22.1704i 1.10679 + 0.938548i
\(559\) 26.7595 6.10767i 1.13180 0.258327i
\(560\) −8.65061 + 0.239302i −0.365555 + 0.0101124i
\(561\) 0.835691 15.9145i 0.0352829 0.671913i
\(562\) 25.3162 + 23.4900i 1.06790 + 0.990867i
\(563\) −7.08656 18.0563i −0.298663 0.760981i −0.998892 0.0470624i \(-0.985014\pi\)
0.700229 0.713918i \(-0.253081\pi\)
\(564\) −23.0439 + 13.9998i −0.970323 + 0.589497i
\(565\) 3.12101 + 10.1181i 0.131302 + 0.425670i
\(566\) 0.538558 2.35958i 0.0226373 0.0991804i
\(567\) −21.7790 + 9.62687i −0.914631 + 0.404290i
\(568\) 8.50907 + 37.2807i 0.357033 + 1.56426i
\(569\) −23.4946 + 13.5646i −0.984946 + 0.568659i −0.903760 0.428040i \(-0.859204\pi\)
−0.0811860 + 0.996699i \(0.525871\pi\)
\(570\) 35.4180 + 12.9953i 1.48350 + 0.544315i
\(571\) 7.34814 + 2.26660i 0.307510 + 0.0948543i 0.444670 0.895695i \(-0.353321\pi\)
−0.137160 + 0.990549i \(0.543797\pi\)
\(572\) 52.5788 35.8476i 2.19843 1.49886i
\(573\) −17.9365 + 32.7343i −0.749308 + 1.36749i
\(574\) −23.8523 + 53.2484i −0.995577 + 2.22255i
\(575\) 22.5587 17.9899i 0.940762 0.750233i
\(576\) 16.9201 32.5860i 0.705006 1.35775i
\(577\) 36.3951 29.0241i 1.51515 1.20829i 0.603465 0.797389i \(-0.293786\pi\)
0.911681 0.410899i \(-0.134785\pi\)
\(578\) 22.7806 1.70717i 0.947549 0.0710090i
\(579\) −0.330005 14.7715i −0.0137146 0.613884i
\(580\) −89.0923 6.67655i −3.69936 0.277229i
\(581\) −1.28396 0.157352i −0.0532678 0.00652806i
\(582\) −23.9788 + 6.03951i −0.993955 + 0.250346i
\(583\) −0.774779 0.528235i −0.0320881 0.0218773i
\(584\) 2.70092 11.8335i 0.111765 0.489674i
\(585\) 44.9632 12.3991i 1.85900 0.512640i
\(586\) −31.0891 + 24.7927i −1.28428 + 1.02418i
\(587\) 5.47233 + 9.47835i 0.225867 + 0.391213i 0.956579 0.291472i \(-0.0941451\pi\)
−0.730712 + 0.682686i \(0.760812\pi\)
\(588\) 34.8802 + 23.6357i 1.43844 + 0.974718i
\(589\) −7.82710 + 13.5569i −0.322510 + 0.558604i
\(590\) −11.6651 77.3929i −0.480245 3.18622i
\(591\) 2.97475 + 30.5280i 0.122365 + 1.25575i
\(592\) 0.0447851 0.0138144i 0.00184065 0.000567767i
\(593\) 34.3719 16.5526i 1.41148 0.679735i 0.436029 0.899933i \(-0.356385\pi\)
0.975455 + 0.220198i \(0.0706703\pi\)
\(594\) −37.3248 18.3342i −1.53145 0.752260i
\(595\) −20.3443 + 3.64439i −0.834035 + 0.149406i
\(596\) 13.2544 19.4407i 0.542923 0.796322i
\(597\) 13.3884 + 22.0375i 0.547950 + 0.901935i
\(598\) −59.3260 87.0153i −2.42602 3.55832i
\(599\) 3.18419 + 21.1257i 0.130102 + 0.863173i 0.954725 + 0.297490i \(0.0961494\pi\)
−0.824623 + 0.565683i \(0.808612\pi\)
\(600\) −7.92167 18.9296i −0.323401 0.772797i
\(601\) 18.1218 + 7.11228i 0.739204 + 0.290116i 0.704911 0.709296i \(-0.250987\pi\)
0.0342926 + 0.999412i \(0.489082\pi\)
\(602\) −8.51261 + 30.5747i −0.346948 + 1.24613i
\(603\) −5.52257 + 16.1587i −0.224896 + 0.658032i
\(604\) 6.15506 + 2.96412i 0.250446 + 0.120608i
\(605\) 1.48542 1.37827i 0.0603909 0.0560346i
\(606\) 17.7379 + 21.2510i 0.720551 + 0.863262i
\(607\) 16.9452 + 9.78331i 0.687784 + 0.397092i 0.802781 0.596273i \(-0.203353\pi\)
−0.114997 + 0.993366i \(0.536686\pi\)
\(608\) 13.0733 + 4.03258i 0.530192 + 0.163543i
\(609\) 31.0827 + 26.0748i 1.25953 + 1.05660i
\(610\) 6.51138 2.00850i 0.263638 0.0813216i
\(611\) −23.3823 5.33686i −0.945947 0.215906i
\(612\) −9.07029 + 26.5391i −0.366645 + 1.07278i
\(613\) 15.8933 19.9296i 0.641926 0.804950i −0.349317 0.937005i \(-0.613586\pi\)
0.991242 + 0.132055i \(0.0421576\pi\)
\(614\) 9.53919 2.94245i 0.384970 0.118748i
\(615\) −47.3374 2.48574i −1.90883 0.100235i
\(616\) 3.19458 + 31.0709i 0.128713 + 1.25188i
\(617\) 11.7833 38.2004i 0.474376 1.53789i −0.330125 0.943937i \(-0.607091\pi\)
0.804501 0.593952i \(-0.202433\pi\)
\(618\) −29.0475 10.6579i −1.16846 0.428724i
\(619\) 31.2465 18.0402i 1.25590 0.725096i 0.283627 0.958935i \(-0.408462\pi\)
0.972275 + 0.233839i \(0.0751289\pi\)
\(620\) 48.0433 10.9656i 1.92947 0.440388i
\(621\) −19.2586 + 39.2067i −0.772820 + 1.57331i
\(622\) 62.0460 + 49.4800i 2.48782 + 1.98397i
\(623\) −17.8329 + 23.6764i −0.714460 + 0.948573i
\(624\) −9.91017 + 3.30103i −0.396724 + 0.132147i
\(625\) −29.0311 8.95490i −1.16124 0.358196i
\(626\) 5.33657 0.804359i 0.213292 0.0321487i
\(627\) 5.19078 18.2671i 0.207300 0.729517i
\(628\) −3.75404 + 24.9064i −0.149802 + 0.993874i
\(629\) 0.100848 0.0485659i 0.00402108 0.00193645i
\(630\) −12.1307 + 52.5494i −0.483299 + 2.09362i
\(631\) 25.5472 + 12.3029i 1.01702 + 0.489769i 0.866679 0.498865i \(-0.166250\pi\)
0.150337 + 0.988635i \(0.451964\pi\)
\(632\) 19.2705 28.2646i 0.766537 1.12430i
\(633\) 12.0903 + 23.7345i 0.480545 + 0.943363i
\(634\) 0.391729 5.22727i 0.0155576 0.207601i
\(635\) 53.0095 7.98989i 2.10362 0.317069i
\(636\) 1.05749 + 1.26693i 0.0419321 + 0.0502370i
\(637\) 7.62604 + 36.6939i 0.302155 + 1.45387i
\(638\) 70.8532i 2.80511i
\(639\) 33.2200 + 1.00109i 1.31416 + 0.0396025i
\(640\) −25.3278 52.5938i −1.00117 2.07895i
\(641\) 3.76317 + 12.1999i 0.148636 + 0.481867i 0.999018 0.0442985i \(-0.0141053\pi\)
−0.850382 + 0.526166i \(0.823629\pi\)
\(642\) −31.7707 44.4333i −1.25389 1.75364i
\(643\) 18.2620 + 26.7855i 0.720184 + 1.05632i 0.995481 + 0.0949566i \(0.0302712\pi\)
−0.275298 + 0.961359i \(0.588776\pi\)
\(644\) 76.8871 7.90521i 3.02978 0.311509i
\(645\) −25.6631 + 2.50070i −1.01048 + 0.0984648i
\(646\) −19.9534 3.00749i −0.785057 0.118328i
\(647\) −11.1003 5.34560i −0.436396 0.210157i 0.202769 0.979227i \(-0.435006\pi\)
−0.639165 + 0.769069i \(0.720720\pi\)
\(648\) 23.0776 + 20.7964i 0.906574 + 0.816960i
\(649\) −38.4090 + 8.76659i −1.50768 + 0.344119i
\(650\) 15.7095 40.0271i 0.616176 1.56999i
\(651\) −20.6220 8.68982i −0.808238 0.340581i
\(652\) −22.2604 56.7185i −0.871783 2.22127i
\(653\) −9.22461 13.5300i −0.360987 0.529470i 0.602185 0.798356i \(-0.294297\pi\)
−0.963172 + 0.268886i \(0.913344\pi\)
\(654\) 9.73227 + 23.2562i 0.380562 + 0.909389i
\(655\) 18.5150 + 32.0689i 0.723441 + 1.25304i
\(656\) 10.6159 0.414483
\(657\) −9.36247 4.86142i −0.365265 0.189662i
\(658\) 18.2933 20.8430i 0.713148 0.812543i
\(659\) −7.98008 25.8708i −0.310860 1.00778i −0.967349 0.253447i \(-0.918436\pi\)
0.656490 0.754335i \(-0.272041\pi\)
\(660\) −53.2677 + 27.1344i −2.07344 + 1.05620i
\(661\) −11.4809 + 4.50591i −0.446554 + 0.175260i −0.577953 0.816070i \(-0.696148\pi\)
0.131399 + 0.991330i \(0.458053\pi\)
\(662\) 50.1335 19.6759i 1.94849 0.764727i
\(663\) −22.2291 + 11.3234i −0.863306 + 0.439764i
\(664\) 0.497437 + 1.61265i 0.0193043 + 0.0625830i
\(665\) −24.6013 1.16066i −0.953996 0.0450084i
\(666\) −0.0130439 0.291786i −0.000505440 0.0113065i
\(667\) 74.4256 2.88177
\(668\) 1.52483 + 2.64108i 0.0589973 + 0.102186i
\(669\) 6.68920 + 15.9845i 0.258620 + 0.617996i
\(670\) 21.7872 + 31.9559i 0.841711 + 1.23456i
\(671\) −1.25311 3.19287i −0.0483757 0.123259i
\(672\) −3.39369 + 19.2608i −0.130914 + 0.743001i
\(673\) −11.3869 + 29.0134i −0.438934 + 1.11838i 0.524731 + 0.851268i \(0.324166\pi\)
−0.963664 + 0.267116i \(0.913929\pi\)
\(674\) −44.8309 + 10.2324i −1.72682 + 0.394136i
\(675\) −17.6558 + 2.52070i −0.679572 + 0.0970217i
\(676\) −49.0481 23.6203i −1.88646 0.908474i
\(677\) −18.2411 2.74940i −0.701063 0.105668i −0.211168 0.977450i \(-0.567727\pi\)
−0.489895 + 0.871782i \(0.662965\pi\)
\(678\) −14.7084 + 1.43324i −0.564874 + 0.0550433i
\(679\) 13.7514 8.45481i 0.527730 0.324466i
\(680\) 15.1895 + 22.2789i 0.582491 + 0.854358i
\(681\) 9.01291 + 12.6051i 0.345376 + 0.483029i
\(682\) −11.5193 37.3446i −0.441096 1.43000i
\(683\) 18.1451 + 37.6787i 0.694303 + 1.44173i 0.887610 + 0.460596i \(0.152364\pi\)
−0.193307 + 0.981138i \(0.561921\pi\)
\(684\) −17.5745 + 28.4266i −0.671978 + 1.08692i
\(685\) 6.03149i 0.230451i
\(686\) −41.5133 12.4347i −1.58499 0.474760i
\(687\) −14.6350 17.5335i −0.558359 0.668945i
\(688\) 5.71004 0.860650i 0.217693 0.0328120i
\(689\) −0.109697 + 1.46380i −0.00417911 + 0.0557663i
\(690\) 44.9060 + 88.1555i 1.70954 + 3.35602i
\(691\) −2.00315 + 2.93807i −0.0762032 + 0.111770i −0.862448 0.506145i \(-0.831070\pi\)
0.786245 + 0.617915i \(0.212022\pi\)
\(692\) −16.3223 7.86041i −0.620481 0.298808i
\(693\) 26.8338 + 4.11235i 1.01933 + 0.156215i
\(694\) −0.692544 + 0.333512i −0.0262886 + 0.0126599i
\(695\) −1.90740 + 12.6548i −0.0723519 + 0.480023i
\(696\) 14.4679 50.9147i 0.548406 1.92992i
\(697\) 25.0709 3.77883i 0.949628 0.143133i
\(698\) −63.2155 19.4994i −2.39274 0.738063i
\(699\) 29.6299 9.86957i 1.12071 0.373302i
\(700\) 20.3509 + 24.1195i 0.769191 + 0.911633i
\(701\) 0.0785064 + 0.0626068i 0.00296515 + 0.00236462i 0.624971 0.780648i \(-0.285111\pi\)
−0.622006 + 0.783012i \(0.713682\pi\)
\(702\) 4.35890 + 64.9505i 0.164516 + 2.45140i
\(703\) 0.130038 0.0296803i 0.00490447 0.00111941i
\(704\) −36.2518 + 20.9300i −1.36629 + 0.788828i
\(705\) 21.1517 + 7.76083i 0.796618 + 0.292290i
\(706\) −4.50793 + 14.6143i −0.169658 + 0.550018i
\(707\) −15.2064 9.76274i −0.571894 0.367166i
\(708\) 69.2380 + 3.63576i 2.60212 + 0.136640i
\(709\) −21.8314 + 6.73410i −0.819896 + 0.252904i −0.676201 0.736718i \(-0.736375\pi\)
−0.143695 + 0.989622i \(0.545899\pi\)
\(710\) 46.9328 58.8518i 1.76136 2.20867i
\(711\) −19.5571 22.3942i −0.733449 0.839850i
\(712\) 37.7008 + 8.60497i 1.41290 + 0.322485i
\(713\) −39.2275 + 12.1001i −1.46908 + 0.453151i
\(714\) 0.715509 28.8372i 0.0267773 1.07921i
\(715\) −50.8122 15.6735i −1.90027 0.586155i
\(716\) −24.9542 14.4073i −0.932583 0.538427i
\(717\) −15.7922 18.9199i −0.589769 0.706577i
\(718\) −26.3009 + 24.4036i −0.981539 + 0.910735i
\(719\) −13.1001 6.30869i −0.488552 0.235274i 0.173356 0.984859i \(-0.444539\pi\)
−0.661908 + 0.749585i \(0.730253\pi\)
\(720\) 9.62803 1.89436i 0.358815 0.0705987i
\(721\) 20.1764 + 0.951895i 0.751407 + 0.0354504i
\(722\) 19.0016 + 7.45759i 0.707167 + 0.277543i
\(723\) 13.8507 + 33.0976i 0.515114 + 1.23091i
\(724\) −0.791061 5.24834i −0.0293995 0.195053i
\(725\) 17.1179 + 25.1074i 0.635744 + 0.932465i
\(726\) 1.46842 + 2.41704i 0.0544981 + 0.0897048i
\(727\) −9.04568 + 13.2676i −0.335486 + 0.492067i −0.956500 0.291732i \(-0.905768\pi\)
0.621014 + 0.783799i \(0.286721\pi\)
\(728\) 39.6217 28.6500i 1.46848 1.06184i
\(729\) 22.5427 14.8603i 0.834914 0.550381i
\(730\) −21.5272 + 10.3669i −0.796756 + 0.383697i
\(731\) 13.1786 4.06506i 0.487429 0.150352i
\(732\) 0.585427 + 6.00787i 0.0216380 + 0.222057i
\(733\) 0.401651 + 2.66478i 0.0148353 + 0.0984260i 0.995023 0.0996446i \(-0.0317706\pi\)
−0.980188 + 0.198071i \(0.936532\pi\)
\(734\) 33.8725 58.6689i 1.25026 2.16551i
\(735\) −2.73106 35.1012i −0.100737 1.29473i
\(736\) 17.9385 + 31.0704i 0.661223 + 1.14527i
\(737\) 15.2209 12.1382i 0.560668 0.447118i
\(738\) 16.6579 64.0274i 0.613185 2.35688i
\(739\) 2.46825 10.8141i 0.0907961 0.397804i −0.909025 0.416743i \(-0.863172\pi\)
0.999821 + 0.0189388i \(0.00602876\pi\)
\(740\) −0.346922 0.236528i −0.0127531 0.00869493i
\(741\) −28.8271 + 7.26063i −1.05899 + 0.266726i
\(742\) −1.42831 0.916996i −0.0524347 0.0336640i
\(743\) −8.23145 0.616862i −0.301983 0.0226305i −0.0771229 0.997022i \(-0.524573\pi\)
−0.224860 + 0.974391i \(0.572192\pi\)
\(744\) 0.652073 + 29.1878i 0.0239062 + 1.07008i
\(745\) −19.6060 + 1.46927i −0.718308 + 0.0538298i
\(746\) 22.7324 18.1285i 0.832293 0.663732i
\(747\) 1.46531 0.0655044i 0.0536128 0.00239668i
\(748\) 24.9988 19.9359i 0.914046 0.728928i
\(749\) 28.4834 + 21.4535i 1.04076 + 0.783894i
\(750\) 8.86573 16.1800i 0.323731 0.590812i
\(751\) 5.73950 3.91313i 0.209437 0.142792i −0.454059 0.890972i \(-0.650024\pi\)
0.663496 + 0.748180i \(0.269072\pi\)
\(752\) −4.82160 1.48727i −0.175826 0.0542350i
\(753\) 17.4529 + 6.40369i 0.636018 + 0.233363i
\(754\) 96.0541 55.4568i 3.49808 2.01962i
\(755\) −1.27026 5.56537i −0.0462295 0.202545i
\(756\) −43.4475 19.8698i −1.58017 0.722658i
\(757\) 0.290071 1.27088i 0.0105428 0.0461910i −0.969383 0.245554i \(-0.921030\pi\)
0.979926 + 0.199363i \(0.0638873\pi\)
\(758\) 7.18141 + 23.2816i 0.260841 + 0.845625i
\(759\) 42.5609 25.8569i 1.54486 0.938546i
\(760\) 11.7389 + 29.9101i 0.425813 + 1.08495i
\(761\) −10.2665 9.52594i −0.372161 0.345315i 0.471813 0.881698i \(-0.343600\pi\)
−0.843974 + 0.536384i \(0.819790\pi\)
\(762\) −3.92347 + 74.7169i −0.142132 + 2.70671i
\(763\) −10.6131 12.5785i −0.384221 0.455374i
\(764\) −73.0131 + 16.6648i −2.64152 + 0.602910i
\(765\) 22.0635 7.90094i 0.797706 0.285659i
\(766\) 70.7616i 2.55672i
\(767\) 41.9474 + 45.2085i 1.51463 + 1.63239i
\(768\) 37.8917 9.54372i 1.36730 0.344379i
\(769\) −0.907476 + 0.356158i −0.0327244 + 0.0128434i −0.381647 0.924308i \(-0.624643\pi\)
0.348922 + 0.937152i \(0.386548\pi\)
\(770\) 43.8984 43.0512i 1.58199 1.55146i
\(771\) 15.6982 + 3.21591i 0.565357 + 0.115818i
\(772\) 21.7311 20.1635i 0.782121 0.725702i
\(773\) −3.14865 3.94828i −0.113249