Properties

Label 546.2.bu.b.71.11
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.11
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(0.162199 - 1.72444i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.61115 - 2.61115i) q^{5} +(-0.289646 - 1.70766i) q^{6} +(0.258819 - 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.94738 - 0.559404i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(0.162199 - 1.72444i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.61115 - 2.61115i) q^{5} +(-0.289646 - 1.70766i) q^{6} +(0.258819 - 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.94738 - 0.559404i) q^{9} +(-3.19799 - 1.84636i) q^{10} +(1.56188 + 5.82901i) q^{11} +(-0.721751 - 1.57451i) q^{12} +(1.58952 - 3.23627i) q^{13} -1.00000i q^{14} +(-4.92629 + 4.07924i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-1.62806 - 2.81989i) q^{17} +(-2.99174 + 0.222496i) q^{18} +(-2.15510 - 0.577458i) q^{19} +(-3.56689 - 0.955747i) q^{20} +(-1.62370 - 0.602990i) q^{21} +(3.01732 + 5.22615i) q^{22} +(1.52364 - 2.63902i) q^{23} +(-1.10467 - 1.33405i) q^{24} +8.63619i q^{25} +(0.697753 - 3.53739i) q^{26} +(-1.44272 + 4.99185i) q^{27} +(-0.258819 - 0.965926i) q^{28} +(-6.11415 - 3.53000i) q^{29} +(-3.70265 + 5.21526i) q^{30} +(-4.91451 + 4.91451i) q^{31} +(0.258819 - 0.965926i) q^{32} +(10.3051 - 1.74791i) q^{33} +(-2.30243 - 2.30243i) q^{34} +(-3.19799 + 1.84636i) q^{35} +(-2.83221 + 0.989233i) q^{36} +(7.89610 - 2.11575i) q^{37} -2.23113 q^{38} +(-5.32293 - 3.26595i) q^{39} -3.69272 q^{40} +(4.19703 - 1.12459i) q^{41} +(-1.72444 - 0.162199i) q^{42} +(6.69807 - 3.86713i) q^{43} +(4.26713 + 4.26713i) q^{44} +(6.23537 + 9.15674i) q^{45} +(0.788694 - 2.94345i) q^{46} +(6.62677 - 6.62677i) q^{47} +(-1.41231 - 1.00269i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(2.23521 + 8.34192i) q^{50} +(-5.12680 + 2.35011i) q^{51} +(-0.241567 - 3.59745i) q^{52} -4.59708i q^{53} +(-0.101576 + 5.19516i) q^{54} +(11.1421 - 19.2987i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-1.34535 + 3.62268i) q^{57} +(-6.81944 - 1.82726i) q^{58} +(8.67455 + 2.32434i) q^{59} +(-2.22667 + 5.99587i) q^{60} +(3.42268 + 5.92825i) q^{61} +(-3.47509 + 6.01903i) q^{62} +(-1.30318 + 2.70217i) q^{63} -1.00000i q^{64} +(-12.6008 + 4.29989i) q^{65} +(9.50158 - 4.35551i) q^{66} +(0.149573 + 0.558215i) q^{67} +(-2.81989 - 1.62806i) q^{68} +(-4.30370 - 3.05547i) q^{69} +(-2.61115 + 2.61115i) q^{70} +(2.31748 - 8.64897i) q^{71} +(-2.47967 + 1.68856i) q^{72} +(-0.971299 - 0.971299i) q^{73} +(7.07945 - 4.08732i) q^{74} +(14.8926 + 1.40078i) q^{75} +(-2.15510 + 0.577458i) q^{76} +6.03463 q^{77} +(-5.98684 - 1.77699i) q^{78} -4.53007 q^{79} +(-3.56689 + 0.955747i) q^{80} +(8.37413 + 3.29756i) q^{81} +(3.76296 - 2.17254i) q^{82} +(1.86388 + 1.86388i) q^{83} +(-1.70766 + 0.289646i) q^{84} +(-3.11203 + 11.6143i) q^{85} +(5.46895 - 5.46895i) q^{86} +(-7.07898 + 9.97091i) q^{87} +(5.22615 + 3.01732i) q^{88} +(-1.68996 - 6.30702i) q^{89} +(8.39284 + 7.23090i) q^{90} +(-2.71459 - 2.37297i) q^{91} -3.04728i q^{92} +(7.67765 + 9.27191i) q^{93} +(4.68583 - 8.11610i) q^{94} +(4.11946 + 7.13512i) q^{95} +(-1.62370 - 0.602990i) q^{96} +(-3.38977 - 0.908285i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(-1.34268 - 18.0540i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 0.162199 1.72444i 0.0936456 0.995606i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −2.61115 2.61115i −1.16774 1.16774i −0.982738 0.185003i \(-0.940771\pi\)
−0.185003 0.982738i \(-0.559229\pi\)
\(6\) −0.289646 1.70766i −0.118247 0.697150i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.94738 0.559404i −0.982461 0.186468i
\(10\) −3.19799 1.84636i −1.01129 0.583870i
\(11\) 1.56188 + 5.82901i 0.470924 + 1.75751i 0.636461 + 0.771309i \(0.280398\pi\)
−0.165537 + 0.986204i \(0.552936\pi\)
\(12\) −0.721751 1.57451i −0.208352 0.454521i
\(13\) 1.58952 3.23627i 0.440854 0.897579i
\(14\) 1.00000i 0.267261i
\(15\) −4.92629 + 4.07924i −1.27196 + 1.05326i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −1.62806 2.81989i −0.394863 0.683923i 0.598220 0.801332i \(-0.295875\pi\)
−0.993084 + 0.117408i \(0.962541\pi\)
\(18\) −2.99174 + 0.222496i −0.705159 + 0.0524428i
\(19\) −2.15510 0.577458i −0.494415 0.132478i 0.00299203 0.999996i \(-0.499048\pi\)
−0.497407 + 0.867518i \(0.665714\pi\)
\(20\) −3.56689 0.955747i −0.797582 0.213711i
\(21\) −1.62370 0.602990i −0.354320 0.131583i
\(22\) 3.01732 + 5.22615i 0.643294 + 1.11422i
\(23\) 1.52364 2.63902i 0.317701 0.550274i −0.662307 0.749233i \(-0.730423\pi\)
0.980008 + 0.198958i \(0.0637559\pi\)
\(24\) −1.10467 1.33405i −0.225490 0.272313i
\(25\) 8.63619i 1.72724i
\(26\) 0.697753 3.53739i 0.136841 0.693740i
\(27\) −1.44272 + 4.99185i −0.277652 + 0.960682i
\(28\) −0.258819 0.965926i −0.0489122 0.182543i
\(29\) −6.11415 3.53000i −1.13537 0.655505i −0.190089 0.981767i \(-0.560878\pi\)
−0.945279 + 0.326262i \(0.894211\pi\)
\(30\) −3.70265 + 5.21526i −0.676008 + 0.952172i
\(31\) −4.91451 + 4.91451i −0.882673 + 0.882673i −0.993806 0.111133i \(-0.964552\pi\)
0.111133 + 0.993806i \(0.464552\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) 10.3051 1.74791i 1.79389 0.304271i
\(34\) −2.30243 2.30243i −0.394863 0.394863i
\(35\) −3.19799 + 1.84636i −0.540559 + 0.312092i
\(36\) −2.83221 + 0.989233i −0.472035 + 0.164872i
\(37\) 7.89610 2.11575i 1.29811 0.347828i 0.457375 0.889274i \(-0.348790\pi\)
0.840735 + 0.541446i \(0.182123\pi\)
\(38\) −2.23113 −0.361937
\(39\) −5.32293 3.26595i −0.852350 0.522971i
\(40\) −3.69272 −0.583870
\(41\) 4.19703 1.12459i 0.655466 0.175632i 0.0842672 0.996443i \(-0.473145\pi\)
0.571199 + 0.820811i \(0.306478\pi\)
\(42\) −1.72444 0.162199i −0.266087 0.0250278i
\(43\) 6.69807 3.86713i 1.02145 0.589732i 0.106923 0.994267i \(-0.465900\pi\)
0.914522 + 0.404536i \(0.132567\pi\)
\(44\) 4.26713 + 4.26713i 0.643294 + 0.643294i
\(45\) 6.23537 + 9.15674i 0.929514 + 1.36501i
\(46\) 0.788694 2.94345i 0.116287 0.433988i
\(47\) 6.62677 6.62677i 0.966614 0.966614i −0.0328467 0.999460i \(-0.510457\pi\)
0.999460 + 0.0328467i \(0.0104573\pi\)
\(48\) −1.41231 1.00269i −0.203849 0.144726i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) 2.23521 + 8.34192i 0.316106 + 1.17973i
\(51\) −5.12680 + 2.35011i −0.717895 + 0.329082i
\(52\) −0.241567 3.59745i −0.0334993 0.498877i
\(53\) 4.59708i 0.631458i −0.948849 0.315729i \(-0.897751\pi\)
0.948849 0.315729i \(-0.102249\pi\)
\(54\) −0.101576 + 5.19516i −0.0138227 + 0.706972i
\(55\) 11.1421 19.2987i 1.50240 2.60224i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) −1.34535 + 3.62268i −0.178196 + 0.479836i
\(58\) −6.81944 1.82726i −0.895437 0.239932i
\(59\) 8.67455 + 2.32434i 1.12933 + 0.302603i 0.774653 0.632386i \(-0.217924\pi\)
0.354677 + 0.934989i \(0.384591\pi\)
\(60\) −2.22667 + 5.99587i −0.287462 + 0.774064i
\(61\) 3.42268 + 5.92825i 0.438229 + 0.759034i 0.997553 0.0699146i \(-0.0222727\pi\)
−0.559324 + 0.828949i \(0.688939\pi\)
\(62\) −3.47509 + 6.01903i −0.441336 + 0.764417i
\(63\) −1.30318 + 2.70217i −0.164185 + 0.340441i
\(64\) 1.00000i 0.125000i
\(65\) −12.6008 + 4.29989i −1.56294 + 0.533336i
\(66\) 9.50158 4.35551i 1.16956 0.536126i
\(67\) 0.149573 + 0.558215i 0.0182733 + 0.0681968i 0.974460 0.224559i \(-0.0720943\pi\)
−0.956187 + 0.292756i \(0.905428\pi\)
\(68\) −2.81989 1.62806i −0.341962 0.197432i
\(69\) −4.30370 3.05547i −0.518105 0.367836i
\(70\) −2.61115 + 2.61115i −0.312092 + 0.312092i
\(71\) 2.31748 8.64897i 0.275035 1.02644i −0.680783 0.732485i \(-0.738361\pi\)
0.955818 0.293959i \(-0.0949728\pi\)
\(72\) −2.47967 + 1.68856i −0.292232 + 0.198998i
\(73\) −0.971299 0.971299i −0.113682 0.113682i 0.647978 0.761659i \(-0.275615\pi\)
−0.761659 + 0.647978i \(0.775615\pi\)
\(74\) 7.07945 4.08732i 0.822969 0.475141i
\(75\) 14.8926 + 1.40078i 1.71965 + 0.161748i
\(76\) −2.15510 + 0.577458i −0.247207 + 0.0662390i
\(77\) 6.03463 0.687710
\(78\) −5.98684 1.77699i −0.677877 0.201205i
\(79\) −4.53007 −0.509672 −0.254836 0.966984i \(-0.582022\pi\)
−0.254836 + 0.966984i \(0.582022\pi\)
\(80\) −3.56689 + 0.955747i −0.398791 + 0.106856i
\(81\) 8.37413 + 3.29756i 0.930459 + 0.366395i
\(82\) 3.76296 2.17254i 0.415549 0.239917i
\(83\) 1.86388 + 1.86388i 0.204588 + 0.204588i 0.801962 0.597375i \(-0.203789\pi\)
−0.597375 + 0.801962i \(0.703789\pi\)
\(84\) −1.70766 + 0.289646i −0.186321 + 0.0316029i
\(85\) −3.11203 + 11.6143i −0.337547 + 1.25974i
\(86\) 5.46895 5.46895i 0.589732 0.589732i
\(87\) −7.07898 + 9.97091i −0.758947 + 1.06899i
\(88\) 5.22615 + 3.01732i 0.557109 + 0.321647i
\(89\) −1.68996 6.30702i −0.179136 0.668543i −0.995810 0.0914447i \(-0.970852\pi\)
0.816675 0.577098i \(-0.195815\pi\)
\(90\) 8.39284 + 7.23090i 0.884683 + 0.762204i
\(91\) −2.71459 2.37297i −0.284567 0.248755i
\(92\) 3.04728i 0.317701i
\(93\) 7.67765 + 9.27191i 0.796136 + 0.961453i
\(94\) 4.68583 8.11610i 0.483307 0.837112i
\(95\) 4.11946 + 7.13512i 0.422648 + 0.732048i
\(96\) −1.62370 0.602990i −0.165718 0.0615424i
\(97\) −3.38977 0.908285i −0.344179 0.0922224i 0.0825890 0.996584i \(-0.473681\pi\)
−0.426768 + 0.904361i \(0.640348\pi\)
\(98\) −0.965926 0.258819i −0.0975732 0.0261447i
\(99\) −1.34268 18.0540i −0.134945 1.81450i
\(100\) 4.31809 + 7.47916i 0.431809 + 0.747916i
\(101\) −3.96010 + 6.85910i −0.394045 + 0.682506i −0.992979 0.118293i \(-0.962258\pi\)
0.598934 + 0.800799i \(0.295591\pi\)
\(102\) −4.34385 + 3.59695i −0.430105 + 0.356151i
\(103\) 0.941362i 0.0927551i 0.998924 + 0.0463776i \(0.0147677\pi\)
−0.998924 + 0.0463776i \(0.985232\pi\)
\(104\) −1.16442 3.41235i −0.114181 0.334608i
\(105\) 2.66523 + 5.81422i 0.260099 + 0.567410i
\(106\) −1.18981 4.44044i −0.115565 0.431294i
\(107\) 4.08645 + 2.35931i 0.395052 + 0.228083i 0.684347 0.729157i \(-0.260088\pi\)
−0.289295 + 0.957240i \(0.593421\pi\)
\(108\) 1.24649 + 5.04443i 0.119944 + 0.485400i
\(109\) 12.4573 12.4573i 1.19319 1.19319i 0.217027 0.976166i \(-0.430364\pi\)
0.976166 0.217027i \(-0.0696361\pi\)
\(110\) 5.76758 21.5249i 0.549917 2.05232i
\(111\) −2.36775 13.9595i −0.224737 1.32498i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) −4.05949 + 2.34374i −0.381884 + 0.220481i −0.678638 0.734473i \(-0.737429\pi\)
0.296754 + 0.954954i \(0.404096\pi\)
\(114\) −0.361886 + 3.84744i −0.0338938 + 0.360346i
\(115\) −10.8693 + 2.91243i −1.01357 + 0.271585i
\(116\) −7.06001 −0.655505
\(117\) −6.49531 + 8.64933i −0.600492 + 0.799631i
\(118\) 8.98055 0.826727
\(119\) −3.14518 + 0.842748i −0.288318 + 0.0772545i
\(120\) −0.598955 + 6.36787i −0.0546769 + 0.581305i
\(121\) −22.0116 + 12.7084i −2.00105 + 1.15531i
\(122\) 4.84039 + 4.84039i 0.438229 + 0.438229i
\(123\) −1.25854 7.41994i −0.113478 0.669033i
\(124\) −1.79884 + 6.71335i −0.161540 + 0.602877i
\(125\) 9.49463 9.49463i 0.849226 0.849226i
\(126\) −0.559404 + 2.94738i −0.0498357 + 0.262574i
\(127\) −4.17960 2.41310i −0.370880 0.214128i 0.302963 0.953002i \(-0.402024\pi\)
−0.673843 + 0.738875i \(0.735358\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) −5.58221 12.1777i −0.491486 1.07218i
\(130\) −11.0586 + 7.41472i −0.969903 + 0.650314i
\(131\) 12.6826i 1.10809i −0.832488 0.554043i \(-0.813084\pi\)
0.832488 0.554043i \(-0.186916\pi\)
\(132\) 8.05053 6.66628i 0.700709 0.580226i
\(133\) −1.11556 + 1.93221i −0.0967316 + 0.167544i
\(134\) 0.288953 + 0.500482i 0.0249618 + 0.0432350i
\(135\) 16.8016 9.26730i 1.44605 0.797602i
\(136\) −3.14518 0.842748i −0.269697 0.0722650i
\(137\) 16.4843 + 4.41694i 1.40835 + 0.377365i 0.881334 0.472493i \(-0.156646\pi\)
0.527011 + 0.849858i \(0.323313\pi\)
\(138\) −4.94787 1.83748i −0.421191 0.156417i
\(139\) 6.28943 + 10.8936i 0.533462 + 0.923984i 0.999236 + 0.0390801i \(0.0124427\pi\)
−0.465774 + 0.884904i \(0.654224\pi\)
\(140\) −1.84636 + 3.19799i −0.156046 + 0.270280i
\(141\) −10.3526 12.5023i −0.871847 1.05289i
\(142\) 8.95407i 0.751409i
\(143\) 21.3469 + 4.21068i 1.78511 + 0.352115i
\(144\) −1.95815 + 2.27281i −0.163179 + 0.189401i
\(145\) 6.74758 + 25.1823i 0.560356 + 2.09128i
\(146\) −1.18959 0.686812i −0.0984515 0.0568410i
\(147\) −1.00269 + 1.41231i −0.0827003 + 0.116485i
\(148\) 5.78034 5.78034i 0.475141 0.475141i
\(149\) −2.75005 + 10.2633i −0.225293 + 0.840805i 0.756994 + 0.653422i \(0.226667\pi\)
−0.982287 + 0.187383i \(0.939999\pi\)
\(150\) 14.7477 2.50144i 1.20414 0.204241i
\(151\) 14.0155 + 14.0155i 1.14056 + 1.14056i 0.988347 + 0.152215i \(0.0486408\pi\)
0.152215 + 0.988347i \(0.451359\pi\)
\(152\) −1.93221 + 1.11556i −0.156723 + 0.0904841i
\(153\) 3.22107 + 9.22204i 0.260408 + 0.745557i
\(154\) 5.82901 1.56188i 0.469715 0.125860i
\(155\) 25.6651 2.06147
\(156\) −6.24277 0.166935i −0.499821 0.0133655i
\(157\) −23.9392 −1.91055 −0.955277 0.295714i \(-0.904443\pi\)
−0.955277 + 0.295714i \(0.904443\pi\)
\(158\) −4.37571 + 1.17247i −0.348113 + 0.0932765i
\(159\) −7.92739 0.745642i −0.628683 0.0591333i
\(160\) −3.19799 + 1.84636i −0.252823 + 0.145968i
\(161\) −2.15475 2.15475i −0.169818 0.169818i
\(162\) 8.94226 + 1.01781i 0.702571 + 0.0799668i
\(163\) −3.63359 + 13.5607i −0.284605 + 1.06216i 0.664523 + 0.747268i \(0.268635\pi\)
−0.949128 + 0.314892i \(0.898032\pi\)
\(164\) 3.07244 3.07244i 0.239917 0.239917i
\(165\) −31.4722 22.3441i −2.45011 1.73949i
\(166\) 2.28278 + 1.31797i 0.177178 + 0.102294i
\(167\) −2.36296 8.81869i −0.182851 0.682411i −0.995080 0.0990718i \(-0.968413\pi\)
0.812229 0.583339i \(-0.198254\pi\)
\(168\) −1.57451 + 0.721751i −0.121476 + 0.0556843i
\(169\) −7.94684 10.2882i −0.611295 0.791403i
\(170\) 12.0240i 0.922196i
\(171\) 6.02888 + 2.90756i 0.461040 + 0.222347i
\(172\) 3.86713 6.69807i 0.294866 0.510723i
\(173\) 9.16123 + 15.8677i 0.696515 + 1.20640i 0.969667 + 0.244429i \(0.0786004\pi\)
−0.273152 + 0.961971i \(0.588066\pi\)
\(174\) −4.25711 + 11.4633i −0.322731 + 0.869033i
\(175\) 8.34192 + 2.23521i 0.630590 + 0.168966i
\(176\) 5.82901 + 1.56188i 0.439378 + 0.117731i
\(177\) 5.41518 14.5817i 0.407030 1.09603i
\(178\) −3.26476 5.65472i −0.244704 0.423839i
\(179\) −8.00281 + 13.8613i −0.598158 + 1.03604i 0.394935 + 0.918709i \(0.370767\pi\)
−0.993093 + 0.117331i \(0.962566\pi\)
\(180\) 9.97836 + 4.81229i 0.743743 + 0.358687i
\(181\) 18.1748i 1.35092i 0.737395 + 0.675462i \(0.236056\pi\)
−0.737395 + 0.675462i \(0.763944\pi\)
\(182\) −3.23627 1.58952i −0.239888 0.117823i
\(183\) 10.7781 4.94064i 0.796737 0.365223i
\(184\) −0.788694 2.94345i −0.0581433 0.216994i
\(185\) −26.1424 15.0933i −1.92203 1.10968i
\(186\) 9.81579 + 6.96886i 0.719729 + 0.510981i
\(187\) 13.8943 13.8943i 1.01605 1.01605i
\(188\) 2.42557 9.05234i 0.176903 0.660209i
\(189\) 4.44835 + 2.68555i 0.323570 + 0.195345i
\(190\) 5.82580 + 5.82580i 0.422648 + 0.422648i
\(191\) 1.65834 0.957440i 0.119993 0.0692780i −0.438802 0.898584i \(-0.644597\pi\)
0.558795 + 0.829306i \(0.311264\pi\)
\(192\) −1.72444 0.162199i −0.124451 0.0117057i
\(193\) −10.9448 + 2.93266i −0.787826 + 0.211097i −0.630232 0.776407i \(-0.717040\pi\)
−0.157594 + 0.987504i \(0.550374\pi\)
\(194\) −3.50934 −0.251956
\(195\) 5.37106 + 22.4268i 0.384630 + 1.60602i
\(196\) −1.00000 −0.0714286
\(197\) 6.81911 1.82717i 0.485841 0.130181i −0.00757989 0.999971i \(-0.502413\pi\)
0.493421 + 0.869790i \(0.335746\pi\)
\(198\) −5.96966 17.0914i −0.424245 1.21463i
\(199\) 6.80879 3.93106i 0.482662 0.278665i −0.238863 0.971053i \(-0.576775\pi\)
0.721525 + 0.692388i \(0.243441\pi\)
\(200\) 6.10671 + 6.10671i 0.431809 + 0.431809i
\(201\) 0.986868 0.167388i 0.0696083 0.0118066i
\(202\) −2.04990 + 7.65033i −0.144231 + 0.538276i
\(203\) −4.99218 + 4.99218i −0.350382 + 0.350382i
\(204\) −3.26488 + 4.59866i −0.228587 + 0.321970i
\(205\) −13.8956 8.02260i −0.970507 0.560323i
\(206\) 0.243642 + 0.909286i 0.0169754 + 0.0633529i
\(207\) −5.96703 + 6.92588i −0.414737 + 0.481382i
\(208\) −2.00793 2.99470i −0.139225 0.207645i
\(209\) 13.4640i 0.931327i
\(210\) 4.07924 + 4.92629i 0.281494 + 0.339946i
\(211\) −1.63268 + 2.82788i −0.112398 + 0.194679i −0.916737 0.399492i \(-0.869186\pi\)
0.804339 + 0.594171i \(0.202520\pi\)
\(212\) −2.29854 3.98119i −0.157865 0.273429i
\(213\) −14.5387 5.39921i −0.996177 0.369948i
\(214\) 4.55784 + 1.22127i 0.311567 + 0.0834842i
\(215\) −27.5873 7.39199i −1.88144 0.504130i
\(216\) 2.50961 + 4.54993i 0.170757 + 0.309583i
\(217\) 3.47509 + 6.01903i 0.235904 + 0.408598i
\(218\) 8.80864 15.2570i 0.596596 1.03334i
\(219\) −1.83249 + 1.51740i −0.123828 + 0.102537i
\(220\) 22.2842i 1.50240i
\(221\) −11.7138 + 0.786572i −0.787952 + 0.0529106i
\(222\) −5.90006 12.8710i −0.395986 0.863848i
\(223\) −4.26674 15.9237i −0.285722 1.06633i −0.948310 0.317345i \(-0.897209\pi\)
0.662588 0.748984i \(-0.269458\pi\)
\(224\) −0.866025 0.500000i −0.0578638 0.0334077i
\(225\) 4.83112 25.4542i 0.322075 1.69694i
\(226\) −3.31456 + 3.31456i −0.220481 + 0.220481i
\(227\) −3.25048 + 12.1310i −0.215742 + 0.805160i 0.770162 + 0.637848i \(0.220175\pi\)
−0.985904 + 0.167312i \(0.946491\pi\)
\(228\) 0.646236 + 3.81001i 0.0427980 + 0.252324i
\(229\) 1.81709 + 1.81709i 0.120077 + 0.120077i 0.764592 0.644515i \(-0.222941\pi\)
−0.644515 + 0.764592i \(0.722941\pi\)
\(230\) −9.74517 + 5.62638i −0.642578 + 0.370992i
\(231\) 0.978811 10.4064i 0.0644010 0.684688i
\(232\) −6.81944 + 1.82726i −0.447718 + 0.119966i
\(233\) −11.6743 −0.764807 −0.382403 0.923995i \(-0.624904\pi\)
−0.382403 + 0.923995i \(0.624904\pi\)
\(234\) −4.03538 + 10.0357i −0.263801 + 0.656056i
\(235\) −34.6070 −2.25751
\(236\) 8.67455 2.32434i 0.564665 0.151302i
\(237\) −0.734771 + 7.81182i −0.0477285 + 0.507432i
\(238\) −2.81989 + 1.62806i −0.182786 + 0.105532i
\(239\) 6.93024 + 6.93024i 0.448280 + 0.448280i 0.894782 0.446503i \(-0.147331\pi\)
−0.446503 + 0.894782i \(0.647331\pi\)
\(240\) 1.06958 + 6.30592i 0.0690411 + 0.407045i
\(241\) −5.32635 + 19.8782i −0.343100 + 1.28047i 0.551715 + 0.834032i \(0.313973\pi\)
−0.894816 + 0.446436i \(0.852693\pi\)
\(242\) −17.9724 + 17.9724i −1.15531 + 1.15531i
\(243\) 7.04471 13.9058i 0.451919 0.892059i
\(244\) 5.92825 + 3.42268i 0.379517 + 0.219114i
\(245\) 0.955747 + 3.56689i 0.0610604 + 0.227881i
\(246\) −3.13607 6.84138i −0.199949 0.436190i
\(247\) −5.29439 + 6.05661i −0.336874 + 0.385373i
\(248\) 6.95017i 0.441336i
\(249\) 3.51648 2.91184i 0.222848 0.184530i
\(250\) 6.71372 11.6285i 0.424613 0.735451i
\(251\) 1.76209 + 3.05204i 0.111222 + 0.192643i 0.916263 0.400576i \(-0.131190\pi\)
−0.805041 + 0.593219i \(0.797857\pi\)
\(252\) 0.222496 + 2.99174i 0.0140159 + 0.188462i
\(253\) 17.7626 + 4.75948i 1.11673 + 0.299226i
\(254\) −4.66174 1.24911i −0.292504 0.0783761i
\(255\) 19.5233 + 7.25033i 1.22260 + 0.454033i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 8.50103 14.7242i 0.530279 0.918471i −0.469097 0.883147i \(-0.655420\pi\)
0.999376 0.0353239i \(-0.0112463\pi\)
\(258\) −8.54381 10.3179i −0.531915 0.642366i
\(259\) 8.17464i 0.507948i
\(260\) −8.76271 + 10.0242i −0.543440 + 0.621677i
\(261\) 16.0460 + 13.8246i 0.993224 + 0.855718i
\(262\) −3.28250 12.2505i −0.202794 0.756837i
\(263\) −11.2653 6.50402i −0.694647 0.401055i 0.110703 0.993854i \(-0.464690\pi\)
−0.805351 + 0.592799i \(0.798023\pi\)
\(264\) 6.05086 8.52277i 0.372404 0.524540i
\(265\) −12.0037 + 12.0037i −0.737380 + 0.737380i
\(266\) −0.577458 + 2.15510i −0.0354062 + 0.132138i
\(267\) −11.1502 + 1.89124i −0.682381 + 0.115742i
\(268\) 0.408642 + 0.408642i 0.0249618 + 0.0249618i
\(269\) −4.30147 + 2.48345i −0.262265 + 0.151419i −0.625367 0.780330i \(-0.715051\pi\)
0.363102 + 0.931749i \(0.381718\pi\)
\(270\) 13.8306 13.3001i 0.841701 0.809418i
\(271\) 23.3606 6.25946i 1.41906 0.380235i 0.533908 0.845543i \(-0.320723\pi\)
0.885149 + 0.465307i \(0.154056\pi\)
\(272\) −3.25613 −0.197432
\(273\) −4.53234 + 4.29626i −0.274310 + 0.260022i
\(274\) 17.0658 1.03098
\(275\) −50.3404 + 13.4887i −3.03564 + 0.813398i
\(276\) −5.25485 0.494265i −0.316305 0.0297513i
\(277\) 11.7309 6.77285i 0.704843 0.406941i −0.104306 0.994545i \(-0.533262\pi\)
0.809149 + 0.587604i \(0.199929\pi\)
\(278\) 8.89460 + 8.89460i 0.533462 + 0.533462i
\(279\) 17.2342 11.7358i 1.03178 0.702601i
\(280\) −0.955747 + 3.56689i −0.0571168 + 0.213163i
\(281\) −6.47917 + 6.47917i −0.386515 + 0.386515i −0.873442 0.486927i \(-0.838118\pi\)
0.486927 + 0.873442i \(0.338118\pi\)
\(282\) −13.2357 9.39686i −0.788174 0.559575i
\(283\) 12.7025 + 7.33380i 0.755086 + 0.435949i 0.827529 0.561423i \(-0.189746\pi\)
−0.0724426 + 0.997373i \(0.523079\pi\)
\(284\) −2.31748 8.64897i −0.137517 0.513222i
\(285\) 12.9723 5.94646i 0.768410 0.352238i
\(286\) 21.7093 1.45777i 1.28370 0.0861996i
\(287\) 4.34509i 0.256482i
\(288\) −1.30318 + 2.70217i −0.0767907 + 0.159227i
\(289\) 3.19882 5.54052i 0.188166 0.325913i
\(290\) 13.0353 + 22.5778i 0.765460 + 1.32582i
\(291\) −2.11610 + 5.69812i −0.124048 + 0.334030i
\(292\) −1.32682 0.355520i −0.0776462 0.0208052i
\(293\) 23.5327 + 6.30557i 1.37479 + 0.368375i 0.869228 0.494412i \(-0.164617\pi\)
0.505567 + 0.862787i \(0.331283\pi\)
\(294\) −0.602990 + 1.62370i −0.0351671 + 0.0946961i
\(295\) −16.5813 28.7197i −0.965403 1.67213i
\(296\) 4.08732 7.07945i 0.237571 0.411485i
\(297\) −31.3509 0.612974i −1.81916 0.0355683i
\(298\) 10.6254i 0.615512i
\(299\) −6.11872 9.12569i −0.353855 0.527752i
\(300\) 13.5977 6.23318i 0.785066 0.359873i
\(301\) −2.00177 7.47072i −0.115380 0.430605i
\(302\) 17.1654 + 9.91043i 0.987756 + 0.570281i
\(303\) 11.1858 + 7.94150i 0.642606 + 0.456227i
\(304\) −1.57764 + 1.57764i −0.0904841 + 0.0904841i
\(305\) 6.54242 24.4166i 0.374618 1.39809i
\(306\) 5.49815 + 8.07413i 0.314308 + 0.461567i
\(307\) −18.4360 18.4360i −1.05220 1.05220i −0.998560 0.0536403i \(-0.982918\pi\)
−0.0536403 0.998560i \(-0.517082\pi\)
\(308\) 5.22615 3.01732i 0.297787 0.171928i
\(309\) 1.62332 + 0.152688i 0.0923475 + 0.00868611i
\(310\) 24.7905 6.64260i 1.40801 0.377275i
\(311\) −3.28259 −0.186139 −0.0930693 0.995660i \(-0.529668\pi\)
−0.0930693 + 0.995660i \(0.529668\pi\)
\(312\) −6.07326 + 1.45450i −0.343830 + 0.0823449i
\(313\) 7.49834 0.423831 0.211915 0.977288i \(-0.432030\pi\)
0.211915 + 0.977288i \(0.432030\pi\)
\(314\) −23.1235 + 6.19591i −1.30493 + 0.349656i
\(315\) 10.4586 3.65296i 0.589273 0.205821i
\(316\) −3.92315 + 2.26503i −0.220695 + 0.127418i
\(317\) 18.9895 + 18.9895i 1.06656 + 1.06656i 0.997621 + 0.0689377i \(0.0219610\pi\)
0.0689377 + 0.997621i \(0.478039\pi\)
\(318\) −7.85026 + 1.33153i −0.440221 + 0.0746683i
\(319\) 11.0269 41.1528i 0.617386 2.30412i
\(320\) −2.61115 + 2.61115i −0.145968 + 0.145968i
\(321\) 4.73131 6.66415i 0.264076 0.371957i
\(322\) −2.63902 1.52364i −0.147067 0.0849091i
\(323\) 1.88028 + 7.01729i 0.104621 + 0.390452i
\(324\) 8.90099 1.33130i 0.494500 0.0739610i
\(325\) 27.9490 + 13.7274i 1.55033 + 0.761460i
\(326\) 14.0391i 0.777555i
\(327\) −19.4613 23.5024i −1.07621 1.29969i
\(328\) 2.17254 3.76296i 0.119959 0.207775i
\(329\) −4.68583 8.11610i −0.258338 0.447455i
\(330\) −36.1829 13.4372i −1.99180 0.739691i
\(331\) 16.1078 + 4.31607i 0.885365 + 0.237233i 0.672720 0.739897i \(-0.265126\pi\)
0.212645 + 0.977130i \(0.431792\pi\)
\(332\) 2.54611 + 0.682229i 0.139736 + 0.0374422i
\(333\) −24.4564 + 1.81882i −1.34020 + 0.0996709i
\(334\) −4.56489 7.90662i −0.249780 0.432631i
\(335\) 1.06702 1.84814i 0.0582977 0.100975i
\(336\) −1.33405 + 1.10467i −0.0727787 + 0.0602647i
\(337\) 25.8378i 1.40748i −0.710460 0.703738i \(-0.751513\pi\)
0.710460 0.703738i \(-0.248487\pi\)
\(338\) −10.3388 7.88088i −0.562359 0.428663i
\(339\) 3.38320 + 7.38049i 0.183750 + 0.400853i
\(340\) 3.11203 + 11.6143i 0.168774 + 0.629872i
\(341\) −36.3226 20.9709i −1.96698 1.13564i
\(342\) 6.57599 + 1.24810i 0.355589 + 0.0674896i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 2.00177 7.47072i 0.107928 0.402794i
\(345\) 3.25931 + 19.2159i 0.175475 + 1.03455i
\(346\) 12.9559 + 12.9559i 0.696515 + 0.696515i
\(347\) −25.3125 + 14.6142i −1.35885 + 0.784531i −0.989469 0.144748i \(-0.953763\pi\)
−0.369379 + 0.929279i \(0.620430\pi\)
\(348\) −1.14513 + 12.1746i −0.0613852 + 0.652625i
\(349\) −26.7787 + 7.17532i −1.43343 + 0.384086i −0.890227 0.455517i \(-0.849455\pi\)
−0.543201 + 0.839603i \(0.682788\pi\)
\(350\) 8.63619 0.461624
\(351\) 13.8617 + 12.6037i 0.739884 + 0.672735i
\(352\) 6.03463 0.321647
\(353\) −16.7312 + 4.48311i −0.890511 + 0.238612i −0.674937 0.737876i \(-0.735829\pi\)
−0.215574 + 0.976487i \(0.569162\pi\)
\(354\) 1.45664 15.4864i 0.0774193 0.823094i
\(355\) −28.6350 + 16.5324i −1.51979 + 0.877451i
\(356\) −4.61706 4.61706i −0.244704 0.244704i
\(357\) 0.943123 + 5.56036i 0.0499154 + 0.294285i
\(358\) −4.14256 + 15.4602i −0.218941 + 0.817099i
\(359\) 9.10668 9.10668i 0.480632 0.480632i −0.424701 0.905334i \(-0.639621\pi\)
0.905334 + 0.424701i \(0.139621\pi\)
\(360\) 10.8839 + 2.06572i 0.573630 + 0.108873i
\(361\) −12.1435 7.01104i −0.639130 0.369002i
\(362\) 4.70399 + 17.5555i 0.247236 + 0.922698i
\(363\) 18.3446 + 40.0190i 0.962843 + 2.10045i
\(364\) −3.53739 0.697753i −0.185410 0.0365722i
\(365\) 5.07241i 0.265502i
\(366\) 9.13207 7.56186i 0.477341 0.395265i
\(367\) 12.3426 21.3780i 0.644278 1.11592i −0.340189 0.940357i \(-0.610491\pi\)
0.984468 0.175566i \(-0.0561755\pi\)
\(368\) −1.52364 2.63902i −0.0794252 0.137569i
\(369\) −12.9994 + 0.966764i −0.676720 + 0.0503277i
\(370\) −29.1581 7.81289i −1.51586 0.406173i
\(371\) −4.44044 1.18981i −0.230536 0.0617720i
\(372\) 11.2850 + 4.19088i 0.585100 + 0.217287i
\(373\) −6.23279 10.7955i −0.322722 0.558971i 0.658327 0.752732i \(-0.271265\pi\)
−0.981049 + 0.193762i \(0.937931\pi\)
\(374\) 9.82477 17.0170i 0.508027 0.879928i
\(375\) −14.8329 17.9129i −0.765968 0.925020i
\(376\) 9.37167i 0.483307i
\(377\) −21.1426 + 14.1760i −1.08890 + 0.730100i
\(378\) 4.99185 + 1.44272i 0.256753 + 0.0742056i
\(379\) 7.99617 + 29.8421i 0.410736 + 1.53289i 0.793226 + 0.608927i \(0.208400\pi\)
−0.382491 + 0.923959i \(0.624934\pi\)
\(380\) 7.13512 + 4.11946i 0.366024 + 0.211324i
\(381\) −4.83916 + 6.81607i −0.247918 + 0.349198i
\(382\) 1.35403 1.35403i 0.0692780 0.0692780i
\(383\) 0.0112438 0.0419624i 0.000574530 0.00214418i −0.965638 0.259891i \(-0.916313\pi\)
0.966212 + 0.257747i \(0.0829800\pi\)
\(384\) −1.70766 + 0.289646i −0.0871437 + 0.0147809i
\(385\) −15.7573 15.7573i −0.803068 0.803068i
\(386\) −9.81287 + 5.66546i −0.499462 + 0.288364i
\(387\) −21.9051 + 7.65099i −1.11350 + 0.388922i
\(388\) −3.38977 + 0.908285i −0.172089 + 0.0461112i
\(389\) 15.0907 0.765127 0.382564 0.923929i \(-0.375041\pi\)
0.382564 + 0.923929i \(0.375041\pi\)
\(390\) 10.9925 + 20.2725i 0.556629 + 1.02654i
\(391\) −9.92233 −0.501794
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) −21.8704 2.05711i −1.10322 0.103767i
\(394\) 6.11385 3.52983i 0.308011 0.177830i
\(395\) 11.8287 + 11.8287i 0.595165 + 0.595165i
\(396\) −10.1898 14.9639i −0.512058 0.751965i
\(397\) −6.94286 + 25.9111i −0.348452 + 1.30044i 0.540075 + 0.841617i \(0.318396\pi\)
−0.888527 + 0.458824i \(0.848271\pi\)
\(398\) 5.55935 5.55935i 0.278665 0.278665i
\(399\) 3.15104 + 2.23712i 0.157749 + 0.111996i
\(400\) 7.47916 + 4.31809i 0.373958 + 0.215905i
\(401\) 2.29401 + 8.56138i 0.114558 + 0.427535i 0.999253 0.0386339i \(-0.0123006\pi\)
−0.884696 + 0.466169i \(0.845634\pi\)
\(402\) 0.909918 0.417105i 0.0453826 0.0208033i
\(403\) 8.09295 + 23.7164i 0.403139 + 1.18140i
\(404\) 7.92021i 0.394045i
\(405\) −13.2557 30.4765i −0.658681 1.51439i
\(406\) −3.53000 + 6.11415i −0.175191 + 0.303440i
\(407\) 24.6655 + 42.7219i 1.22262 + 2.11764i
\(408\) −1.96341 + 5.28697i −0.0972033 + 0.261744i
\(409\) 12.2740 + 3.28881i 0.606911 + 0.162621i 0.549171 0.835710i \(-0.314944\pi\)
0.0577405 + 0.998332i \(0.481610\pi\)
\(410\) −15.4985 4.15280i −0.765415 0.205092i
\(411\) 10.2905 27.7097i 0.507592 1.36682i
\(412\) 0.470681 + 0.815243i 0.0231888 + 0.0401641i
\(413\) 4.49028 7.77739i 0.220952 0.382700i
\(414\) −3.97116 + 8.23427i −0.195172 + 0.404692i
\(415\) 9.73376i 0.477811i
\(416\) −2.71459 2.37297i −0.133094 0.116344i
\(417\) 19.8055 9.07881i 0.969880 0.444591i
\(418\) −3.48475 13.0053i −0.170445 0.636108i
\(419\) 0.431886 + 0.249350i 0.0210990 + 0.0121815i 0.510512 0.859870i \(-0.329456\pi\)
−0.489413 + 0.872052i \(0.662789\pi\)
\(420\) 5.21526 + 3.70265i 0.254479 + 0.180671i
\(421\) −12.8276 + 12.8276i −0.625179 + 0.625179i −0.946851 0.321672i \(-0.895755\pi\)
0.321672 + 0.946851i \(0.395755\pi\)
\(422\) −0.845135 + 3.15409i −0.0411405 + 0.153539i
\(423\) −23.2387 + 15.8246i −1.12990 + 0.769418i
\(424\) −3.25063 3.25063i −0.157865 0.157865i
\(425\) 24.3531 14.0603i 1.18130 0.682023i
\(426\) −15.4407 1.45234i −0.748107 0.0703661i
\(427\) 6.61210 1.77171i 0.319982 0.0857389i
\(428\) 4.71862 0.228083
\(429\) 10.7235 36.1284i 0.517736 1.74430i
\(430\) −28.5605 −1.37731
\(431\) 14.0578 3.76678i 0.677141 0.181439i 0.0961714 0.995365i \(-0.469340\pi\)
0.580969 + 0.813926i \(0.302674\pi\)
\(432\) 3.60171 + 3.74536i 0.173287 + 0.180199i
\(433\) 5.57566 3.21911i 0.267949 0.154700i −0.360006 0.932950i \(-0.617225\pi\)
0.627955 + 0.778249i \(0.283892\pi\)
\(434\) 4.91451 + 4.91451i 0.235904 + 0.235904i
\(435\) 44.5198 7.55125i 2.13456 0.362055i
\(436\) 4.55969 17.0170i 0.218369 0.814966i
\(437\) −4.80753 + 4.80753i −0.229975 + 0.229975i
\(438\) −1.37732 + 1.93998i −0.0658107 + 0.0926959i
\(439\) −19.4203 11.2123i −0.926883 0.535136i −0.0410584 0.999157i \(-0.513073\pi\)
−0.885824 + 0.464021i \(0.846406\pi\)
\(440\) −5.76758 21.5249i −0.274959 1.02616i
\(441\) 2.27281 + 1.95815i 0.108229 + 0.0932452i
\(442\) −11.1110 + 3.79151i −0.528498 + 0.180344i
\(443\) 37.1687i 1.76594i −0.469432 0.882969i \(-0.655541\pi\)
0.469432 0.882969i \(-0.344459\pi\)
\(444\) −9.03029 10.9054i −0.428559 0.517548i
\(445\) −12.0558 + 20.8813i −0.571501 + 0.989869i
\(446\) −8.24271 14.2768i −0.390304 0.676026i
\(447\) 17.2524 + 6.40700i 0.816013 + 0.303041i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) −0.980852 0.262819i −0.0462893 0.0124032i 0.235600 0.971850i \(-0.424294\pi\)
−0.281889 + 0.959447i \(0.590961\pi\)
\(450\) −1.92152 25.8372i −0.0905811 1.21798i
\(451\) 13.1105 + 22.7081i 0.617350 + 1.06928i
\(452\) −2.34374 + 4.05949i −0.110240 + 0.190942i
\(453\) 26.4421 21.8955i 1.24236 1.02874i
\(454\) 12.5589i 0.589418i
\(455\) 0.892039 + 13.2844i 0.0418194 + 0.622781i
\(456\) 1.61032 + 3.51293i 0.0754101 + 0.164508i
\(457\) −2.45030 9.14464i −0.114620 0.427768i 0.884638 0.466278i \(-0.154405\pi\)
−0.999258 + 0.0385102i \(0.987739\pi\)
\(458\) 2.22548 + 1.28488i 0.103990 + 0.0600385i
\(459\) 16.4253 4.05873i 0.766667 0.189445i
\(460\) −7.95690 + 7.95690i −0.370992 + 0.370992i
\(461\) 2.97164 11.0903i 0.138403 0.516528i −0.861557 0.507660i \(-0.830511\pi\)
0.999961 0.00886793i \(-0.00282279\pi\)
\(462\) −1.74791 10.3051i −0.0813199 0.479437i
\(463\) −6.07495 6.07495i −0.282327 0.282327i 0.551709 0.834036i \(-0.313976\pi\)
−0.834036 + 0.551709i \(0.813976\pi\)
\(464\) −6.11415 + 3.53000i −0.283842 + 0.163876i
\(465\) 4.16284 44.2578i 0.193047 2.05241i
\(466\) −11.2765 + 3.02152i −0.522373 + 0.139969i
\(467\) −11.4511 −0.529896 −0.264948 0.964263i \(-0.585355\pi\)
−0.264948 + 0.964263i \(0.585355\pi\)
\(468\) −1.30044 + 10.7382i −0.0601128 + 0.496373i
\(469\) 0.577907 0.0266852
\(470\) −33.4278 + 8.95694i −1.54191 + 0.413153i
\(471\) −3.88291 + 41.2816i −0.178915 + 1.90216i
\(472\) 7.77739 4.49028i 0.357983 0.206682i
\(473\) 33.0031 + 33.0031i 1.51748 + 1.51748i
\(474\) 1.31211 + 7.73581i 0.0602674 + 0.355318i
\(475\) 4.98704 18.6119i 0.228821 0.853972i
\(476\) −2.30243 + 2.30243i −0.105532 + 0.105532i
\(477\) −2.57163 + 13.5494i −0.117747 + 0.620383i
\(478\) 8.48777 + 4.90042i 0.388222 + 0.224140i
\(479\) 0.197122 + 0.735669i 0.00900673 + 0.0336136i 0.970283 0.241973i \(-0.0777946\pi\)
−0.961276 + 0.275587i \(0.911128\pi\)
\(480\) 2.66523 + 5.81422i 0.121650 + 0.265382i
\(481\) 5.70388 28.9169i 0.260075 1.31850i
\(482\) 20.5794i 0.937368i
\(483\) −4.06524 + 3.36624i −0.184975 + 0.153169i
\(484\) −12.7084 + 22.0116i −0.577655 + 1.00053i
\(485\) 6.47952 + 11.2228i 0.294220 + 0.509603i
\(486\) 3.20558 15.2553i 0.145408 0.691995i
\(487\) 38.0434 + 10.1937i 1.72391 + 0.461920i 0.978766 0.204983i \(-0.0657138\pi\)
0.745144 + 0.666903i \(0.232381\pi\)
\(488\) 6.61210 + 1.77171i 0.299316 + 0.0802014i
\(489\) 22.7953 + 8.46544i 1.03084 + 0.382821i
\(490\) 1.84636 + 3.19799i 0.0834101 + 0.144470i
\(491\) −10.9053 + 18.8885i −0.492149 + 0.852427i −0.999959 0.00904224i \(-0.997122\pi\)
0.507810 + 0.861469i \(0.330455\pi\)
\(492\) −4.79989 5.79659i −0.216396 0.261330i
\(493\) 22.9883i 1.03534i
\(494\) −3.54643 + 7.22052i −0.159561 + 0.324867i
\(495\) −43.6358 + 50.6477i −1.96129 + 2.27645i
\(496\) 1.79884 + 6.71335i 0.0807702 + 0.301438i
\(497\) −7.75445 4.47703i −0.347835 0.200822i
\(498\) 2.64302 3.72275i 0.118436 0.166820i
\(499\) 12.5058 12.5058i 0.559837 0.559837i −0.369424 0.929261i \(-0.620445\pi\)
0.929261 + 0.369424i \(0.120445\pi\)
\(500\) 3.47528 12.9699i 0.155419 0.580032i
\(501\) −15.5906 + 2.64440i −0.696535 + 0.118143i
\(502\) 2.49198 + 2.49198i 0.111222 + 0.111222i
\(503\) 13.4468 7.76349i 0.599562 0.346157i −0.169307 0.985563i \(-0.554153\pi\)
0.768869 + 0.639406i \(0.220820\pi\)
\(504\) 0.989233 + 2.83221i 0.0440639 + 0.126157i
\(505\) 28.2505 7.56971i 1.25713 0.336848i
\(506\) 18.3892 0.817501
\(507\) −19.0304 + 12.0351i −0.845170 + 0.534498i
\(508\) −4.82619 −0.214128
\(509\) 11.3965 3.05368i 0.505141 0.135352i 0.00275582 0.999996i \(-0.499123\pi\)
0.502385 + 0.864644i \(0.332456\pi\)
\(510\) 20.7346 + 1.95027i 0.918144 + 0.0863596i
\(511\) −1.18959 + 0.686812i −0.0526245 + 0.0303828i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 5.99180 9.92484i 0.264544 0.438192i
\(514\) 4.40045 16.4227i 0.194096 0.724375i
\(515\) 2.45804 2.45804i 0.108314 0.108314i
\(516\) −10.9232 7.75505i −0.480866 0.341397i
\(517\) 48.9777 + 28.2773i 2.15404 + 1.24363i
\(518\) −2.11575 7.89610i −0.0929609 0.346935i
\(519\) 28.8488 13.2243i 1.26632 0.580480i
\(520\) −5.86966 + 11.9506i −0.257402 + 0.524070i
\(521\) 18.3855i 0.805485i 0.915313 + 0.402742i \(0.131943\pi\)
−0.915313 + 0.402742i \(0.868057\pi\)
\(522\) 19.0773 + 9.20047i 0.834992 + 0.402694i
\(523\) 13.2217 22.9006i 0.578143 1.00137i −0.417550 0.908654i \(-0.637111\pi\)
0.995692 0.0927183i \(-0.0295556\pi\)
\(524\) −6.34131 10.9835i −0.277022 0.479815i
\(525\) 5.20754 14.0226i 0.227275 0.611996i
\(526\) −12.5648 3.36673i −0.547851 0.146796i
\(527\) 21.8595 + 5.85724i 0.952216 + 0.255145i
\(528\) 3.63882 9.79844i 0.158359 0.426422i
\(529\) 6.85704 + 11.8767i 0.298132 + 0.516380i
\(530\) −8.48788 + 14.7014i −0.368690 + 0.638589i
\(531\) −24.2670 11.7033i −1.05310 0.507880i
\(532\) 2.23113i 0.0967316i
\(533\) 3.03180 15.3703i 0.131322 0.665761i
\(534\) −10.2808 + 4.71268i −0.444892 + 0.203938i
\(535\) −4.50981 16.8308i −0.194976 0.727660i
\(536\) 0.500482 + 0.288953i 0.0216175 + 0.0124809i
\(537\) 22.6049 + 16.0486i 0.975472 + 0.692550i
\(538\) −3.51213 + 3.51213i −0.151419 + 0.151419i
\(539\) 1.56188 5.82901i 0.0672749 0.251073i
\(540\) 9.91698 16.4265i 0.426759 0.706885i
\(541\) 18.3158 + 18.3158i 0.787458 + 0.787458i 0.981077 0.193618i \(-0.0620224\pi\)
−0.193618 + 0.981077i \(0.562022\pi\)
\(542\) 20.9446 12.0924i 0.899646 0.519411i
\(543\) 31.3414 + 2.94793i 1.34499 + 0.126508i
\(544\) −3.14518 + 0.842748i −0.134848 + 0.0361325i
\(545\) −65.0557 −2.78668
\(546\) −3.26595 + 5.32293i −0.139770 + 0.227800i
\(547\) 1.40479 0.0600643 0.0300321 0.999549i \(-0.490439\pi\)
0.0300321 + 0.999549i \(0.490439\pi\)
\(548\) 16.4843 4.41694i 0.704173 0.188683i
\(549\) −6.77165 19.3875i −0.289007 0.827437i
\(550\) −45.1340 + 26.0581i −1.92452 + 1.11112i
\(551\) 11.1382 + 11.1382i 0.474503 + 0.474503i
\(552\) −5.20372 + 0.882632i −0.221485 + 0.0375673i
\(553\) −1.17247 + 4.37571i −0.0498584 + 0.186074i
\(554\) 9.57826 9.57826i 0.406941 0.406941i
\(555\) −30.2678 + 42.6329i −1.28480 + 1.80967i
\(556\) 10.8936 + 6.28943i 0.461992 + 0.266731i
\(557\) 5.92389 + 22.1082i 0.251003 + 0.936757i 0.970270 + 0.242023i \(0.0778110\pi\)
−0.719267 + 0.694733i \(0.755522\pi\)
\(558\) 13.6095 15.7964i 0.576135 0.668715i
\(559\) −1.86834 27.8236i −0.0790224 1.17681i
\(560\) 3.69272i 0.156046i
\(561\) −21.7063 26.2136i −0.916439 1.10674i
\(562\) −4.58147 + 7.93533i −0.193258 + 0.334732i
\(563\) −14.6097 25.3048i −0.615726 1.06647i −0.990257 0.139254i \(-0.955530\pi\)
0.374531 0.927214i \(-0.377804\pi\)
\(564\) −15.2168 5.65102i −0.640742 0.237951i
\(565\) 16.7198 + 4.48005i 0.703407 + 0.188477i
\(566\) 14.1678 + 3.79625i 0.595518 + 0.159568i
\(567\) 5.35258 7.23532i 0.224787 0.303855i
\(568\) −4.47703 7.75445i −0.187852 0.325370i
\(569\) 15.3604 26.6050i 0.643943 1.11534i −0.340602 0.940208i \(-0.610631\pi\)
0.984545 0.175134i \(-0.0560358\pi\)
\(570\) 10.9912 9.10131i 0.460370 0.381212i
\(571\) 6.95592i 0.291096i 0.989351 + 0.145548i \(0.0464945\pi\)
−0.989351 + 0.145548i \(0.953505\pi\)
\(572\) 20.5923 7.02687i 0.861006 0.293808i
\(573\) −1.38207 3.01500i −0.0577367 0.125953i
\(574\) −1.12459 4.19703i −0.0469395 0.175181i
\(575\) 22.7911 + 13.1584i 0.950454 + 0.548745i
\(576\) −0.559404 + 2.94738i −0.0233085 + 0.122808i
\(577\) −3.64763 + 3.64763i −0.151853 + 0.151853i −0.778945 0.627092i \(-0.784245\pi\)
0.627092 + 0.778945i \(0.284245\pi\)
\(578\) 1.65583 6.17965i 0.0688735 0.257039i
\(579\) 3.28195 + 19.3494i 0.136393 + 0.804133i
\(580\) 18.4347 + 18.4347i 0.765460 + 0.765460i
\(581\) 2.28278 1.31797i 0.0947058 0.0546784i
\(582\) −0.569212 + 6.05165i −0.0235946 + 0.250849i
\(583\) 26.7964 7.18009i 1.10980 0.297369i
\(584\) −1.37362 −0.0568410
\(585\) 39.5449 5.62447i 1.63498 0.232543i
\(586\) 24.3628 1.00642
\(587\) −4.21555 + 1.12955i −0.173994 + 0.0466216i −0.344764 0.938689i \(-0.612041\pi\)
0.170770 + 0.985311i \(0.445374\pi\)
\(588\) −0.162199 + 1.72444i −0.00668897 + 0.0711147i
\(589\) 13.4292 7.75336i 0.553341 0.319472i
\(590\) −23.4496 23.4496i −0.965403 0.965403i
\(591\) −2.04480 12.0555i −0.0841118 0.495897i
\(592\) 2.11575 7.89610i 0.0869569 0.324528i
\(593\) −17.3166 + 17.3166i −0.711108 + 0.711108i −0.966767 0.255659i \(-0.917708\pi\)
0.255659 + 0.966767i \(0.417708\pi\)
\(594\) −30.4413 + 7.52212i −1.24902 + 0.308636i
\(595\) 10.4131 + 6.01198i 0.426894 + 0.246467i
\(596\) 2.75005 + 10.2633i 0.112647 + 0.420403i
\(597\) −5.67449 12.3790i −0.232241 0.506637i
\(598\) −8.27213 7.23110i −0.338273 0.295702i
\(599\) 2.41985i 0.0988725i −0.998777 0.0494362i \(-0.984258\pi\)
0.998777 0.0494362i \(-0.0157425\pi\)
\(600\) 11.5212 9.54015i 0.470349 0.389475i
\(601\) −9.79984 + 16.9738i −0.399744 + 0.692377i −0.993694 0.112125i \(-0.964234\pi\)
0.593950 + 0.804502i \(0.297568\pi\)
\(602\) −3.86713 6.69807i −0.157612 0.272993i
\(603\) −0.128582 1.72894i −0.00523626 0.0704081i
\(604\) 19.1455 + 5.13002i 0.779019 + 0.208737i
\(605\) 90.6591 + 24.2920i 3.68582 + 0.987611i
\(606\) 12.8600 + 4.77580i 0.522404 + 0.194004i
\(607\) 16.3977 + 28.4016i 0.665562 + 1.15279i 0.979133 + 0.203222i \(0.0651412\pi\)
−0.313571 + 0.949565i \(0.601525\pi\)
\(608\) −1.11556 + 1.93221i −0.0452421 + 0.0783616i
\(609\) 7.79898 + 9.41844i 0.316031 + 0.381654i
\(610\) 25.2780i 1.02348i
\(611\) −10.9126 31.9794i −0.441476 1.29375i
\(612\) 7.40055 + 6.37598i 0.299149 + 0.257734i
\(613\) −6.99024 26.0879i −0.282333 1.05368i −0.950766 0.309909i \(-0.899701\pi\)
0.668433 0.743772i \(-0.266965\pi\)
\(614\) −22.5795 13.0363i −0.911232 0.526100i
\(615\) −16.0883 + 22.6608i −0.648744 + 0.913771i
\(616\) 4.26713 4.26713i 0.171928 0.171928i
\(617\) −4.98729 + 18.6128i −0.200781 + 0.749324i 0.789914 + 0.613218i \(0.210125\pi\)
−0.990694 + 0.136106i \(0.956541\pi\)
\(618\) 1.60753 0.272661i 0.0646642 0.0109680i
\(619\) 6.27677 + 6.27677i 0.252285 + 0.252285i 0.821907 0.569622i \(-0.192910\pi\)
−0.569622 + 0.821907i \(0.692910\pi\)
\(620\) 22.2266 12.8325i 0.892641 0.515367i
\(621\) 10.9754 + 11.4132i 0.440428 + 0.457994i
\(622\) −3.17074 + 0.849597i −0.127135 + 0.0340657i
\(623\) −6.52951 −0.261599
\(624\) −5.48986 + 2.97681i −0.219770 + 0.119168i
\(625\) −6.40283 −0.256113
\(626\) 7.24284 1.94071i 0.289482 0.0775665i
\(627\) −23.2179 2.18385i −0.927234 0.0872146i
\(628\) −20.7319 + 11.9696i −0.827294 + 0.477638i
\(629\) −18.8215 18.8215i −0.750464 0.750464i
\(630\) 9.15674 6.23537i 0.364813 0.248423i
\(631\) 10.3772 38.7281i 0.413108 1.54174i −0.375487 0.926827i \(-0.622525\pi\)
0.788595 0.614912i \(-0.210809\pi\)
\(632\) −3.20324 + 3.20324i −0.127418 + 0.127418i
\(633\) 4.61168 + 3.27413i 0.183298 + 0.130135i
\(634\) 23.2573 + 13.4276i 0.923667 + 0.533279i
\(635\) 4.61262 + 17.2145i 0.183046 + 0.683137i
\(636\) −7.23815 + 3.31795i −0.287011 + 0.131565i
\(637\) −2.99470 + 2.00793i −0.118654 + 0.0795570i
\(638\) 42.6046i 1.68673i
\(639\) −11.6688 + 24.1954i −0.461610 + 0.957155i
\(640\) −1.84636 + 3.19799i −0.0729838 + 0.126412i
\(641\) −13.3709 23.1591i −0.528120 0.914731i −0.999463 0.0327804i \(-0.989564\pi\)
0.471343 0.881950i \(-0.343770\pi\)
\(642\) 2.84528 7.66163i 0.112294 0.302380i
\(643\) −30.2386 8.10240i −1.19249 0.319527i −0.392622 0.919700i \(-0.628432\pi\)
−0.799871 + 0.600173i \(0.795099\pi\)
\(644\) −2.94345 0.788694i −0.115988 0.0310789i
\(645\) −17.2217 + 46.3736i −0.678103 + 1.82596i
\(646\) 3.63242 + 6.29153i 0.142915 + 0.247537i
\(647\) −21.4531 + 37.1579i −0.843408 + 1.46083i 0.0435881 + 0.999050i \(0.486121\pi\)
−0.886996 + 0.461776i \(0.847212\pi\)
\(648\) 8.25313 3.58968i 0.324214 0.141016i
\(649\) 54.1944i 2.12731i
\(650\) 30.5496 + 6.02593i 1.19825 + 0.236356i
\(651\) 10.9431 5.01630i 0.428894 0.196604i
\(652\) 3.63359 + 13.5607i 0.142302 + 0.531080i
\(653\) −5.51209 3.18240i −0.215705 0.124537i 0.388255 0.921552i \(-0.373078\pi\)
−0.603960 + 0.797015i \(0.706411\pi\)
\(654\) −24.8810 17.6646i −0.972926 0.690742i
\(655\) −33.1162 + 33.1162i −1.29396 + 1.29396i
\(656\) 1.12459 4.19703i 0.0439079 0.163867i
\(657\) 2.31944 + 3.40614i 0.0904900 + 0.132886i
\(658\) −6.62677 6.62677i −0.258338 0.258338i
\(659\) 20.6511 11.9229i 0.804451 0.464450i −0.0405741 0.999177i \(-0.512919\pi\)
0.845025 + 0.534726i \(0.179585\pi\)
\(660\) −38.4278 3.61448i −1.49580 0.140693i
\(661\) 36.3985 9.75295i 1.41574 0.379346i 0.531768 0.846890i \(-0.321528\pi\)
0.883970 + 0.467544i \(0.154861\pi\)
\(662\) 16.6760 0.648132
\(663\) −0.543561 + 20.3272i −0.0211102 + 0.789444i
\(664\) 2.63593 0.102294
\(665\) 7.95819 2.13239i 0.308606 0.0826906i
\(666\) −23.1523 + 8.08663i −0.897134 + 0.313350i
\(667\) −18.6315 + 10.7569i −0.721415 + 0.416509i
\(668\) −6.45573 6.45573i −0.249780 0.249780i
\(669\) −28.1515 + 4.77493i −1.08840 + 0.184610i
\(670\) 0.552332 2.06133i 0.0213385 0.0796362i
\(671\) −29.2100 + 29.2100i −1.12764 + 1.12764i
\(672\) −1.00269 + 1.41231i −0.0386795 + 0.0544810i
\(673\) −30.5628 17.6454i −1.17811 0.680182i −0.222533 0.974925i \(-0.571432\pi\)
−0.955576 + 0.294744i \(0.904766\pi\)
\(674\) −6.68732 24.9574i −0.257586 0.961324i
\(675\) −43.1106 12.4596i −1.65933 0.479571i
\(676\) −12.0263 4.93645i −0.462549 0.189863i
\(677\) 47.9832i 1.84414i 0.387020 + 0.922071i \(0.373505\pi\)
−0.387020 + 0.922071i \(0.626495\pi\)
\(678\) 5.17813 + 6.25337i 0.198865 + 0.240159i
\(679\) −1.75467 + 3.03918i −0.0673381 + 0.116633i
\(680\) 6.01198 + 10.4131i 0.230549 + 0.399323i
\(681\) 20.3919 + 7.57289i 0.781419 + 0.290194i
\(682\) −40.5126 10.8553i −1.55131 0.415672i
\(683\) 12.1169 + 3.24671i 0.463640 + 0.124232i 0.483075 0.875579i \(-0.339520\pi\)
−0.0194346 + 0.999811i \(0.506187\pi\)
\(684\) 6.67495 0.496416i 0.255223 0.0189810i
\(685\) −31.5096 54.5762i −1.20392 2.08525i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) 3.42820 2.83874i 0.130794 0.108305i
\(688\) 7.73426i 0.294866i
\(689\) −14.8774 7.30717i −0.566783 0.278381i
\(690\) 8.12169 + 17.7176i 0.309188 + 0.674496i
\(691\) 1.73988 + 6.49333i 0.0661883 + 0.247018i 0.991091 0.133186i \(-0.0425206\pi\)
−0.924903 + 0.380204i \(0.875854\pi\)
\(692\) 15.8677 + 9.16123i 0.603200 + 0.348258i
\(693\) −17.7864 3.37580i −0.675649 0.128236i
\(694\) −20.6676 + 20.6676i −0.784531 + 0.784531i
\(695\) 12.0222 44.8675i 0.456028 1.70192i
\(696\) 2.04490 + 12.0561i 0.0775118 + 0.456985i
\(697\) −10.0043 10.0043i −0.378938 0.378938i
\(698\) −24.0091 + 13.8617i −0.908757 + 0.524671i
\(699\) −1.89355 + 20.1316i −0.0716208 + 0.761446i
\(700\) 8.34192 2.23521i 0.315295 0.0844830i
\(701\) −2.47640 −0.0935323 −0.0467661 0.998906i \(-0.514892\pi\)
−0.0467661 + 0.998906i \(0.514892\pi\)
\(702\) 16.6515 + 8.58655i 0.628469 + 0.324078i
\(703\) −18.2387 −0.687884
\(704\) 5.82901 1.56188i 0.219689 0.0588655i
\(705\) −5.61321 + 59.6776i −0.211406 + 2.24759i
\(706\) −15.0008 + 8.66070i −0.564561 + 0.325950i
\(707\) 5.60043 + 5.60043i 0.210626 + 0.210626i
\(708\) −2.60118 15.3357i −0.0977583 0.576352i
\(709\) 3.79939 14.1795i 0.142689 0.532522i −0.857158 0.515053i \(-0.827772\pi\)
0.999847 0.0174695i \(-0.00556101\pi\)
\(710\) −23.3804 + 23.3804i −0.877451 + 0.877451i
\(711\) 13.3518 + 2.53414i 0.500733 + 0.0950376i
\(712\) −5.65472 3.26476i −0.211920 0.122352i
\(713\) 5.48156 + 20.4575i 0.205286 + 0.766138i
\(714\) 2.35011 + 5.12680i 0.0879508 + 0.191866i
\(715\) −44.7451 66.7345i −1.67337 2.49573i
\(716\) 16.0056i 0.598158i
\(717\) 13.0749 10.8267i 0.488289 0.404330i
\(718\) 6.43940 11.1534i 0.240316 0.416240i
\(719\) −2.24829 3.89415i −0.0838470 0.145227i 0.821052 0.570853i \(-0.193387\pi\)
−0.904899 + 0.425626i \(0.860054\pi\)
\(720\) 11.0477 0.821615i 0.411722 0.0306198i
\(721\) 0.909286 + 0.243642i 0.0338636 + 0.00907372i
\(722\) −13.5443 3.62918i −0.504066 0.135064i
\(723\) 33.4148 + 12.4092i 1.24271 + 0.461503i
\(724\) 9.08741 + 15.7399i 0.337731 + 0.584967i
\(725\) 30.4858 52.8029i 1.13221 1.96105i
\(726\) 28.0772 + 33.9074i 1.04204 + 1.25842i
\(727\) 39.7600i 1.47462i 0.675556 + 0.737309i \(0.263904\pi\)
−0.675556 + 0.737309i \(0.736096\pi\)
\(728\) −3.59745 + 0.241567i −0.133330 + 0.00895306i
\(729\) −22.8371 14.4037i −0.845819 0.533470i
\(730\) 1.31284 + 4.89957i 0.0485903 + 0.181341i
\(731\) −21.8097 12.5919i −0.806663 0.465727i
\(732\) 6.86375 9.66775i 0.253692 0.357330i
\(733\) 10.5520 10.5520i 0.389746 0.389746i −0.484851 0.874597i \(-0.661126\pi\)
0.874597 + 0.484851i \(0.161126\pi\)
\(734\) 6.38900 23.8441i 0.235822 0.880101i
\(735\) 6.30592 1.06958i 0.232597 0.0394521i
\(736\) −2.15475 2.15475i −0.0794252 0.0794252i
\(737\) −3.02022 + 1.74373i −0.111251 + 0.0642310i
\(738\) −12.3062 + 4.29831i −0.452998 + 0.158223i
\(739\) 3.69172 0.989193i 0.135802 0.0363880i −0.190278 0.981730i \(-0.560939\pi\)
0.326080 + 0.945342i \(0.394272\pi\)
\(740\) −30.1867 −1.10968
\(741\) 9.58550 + 10.1122i 0.352132 + 0.371482i
\(742\) −4.59708 −0.168764
\(743\) −28.5202 + 7.64195i −1.04630 + 0.280356i −0.740723 0.671810i \(-0.765517\pi\)
−0.305580 + 0.952166i \(0.598850\pi\)
\(744\) 11.9852 + 1.12731i 0.439397 + 0.0413292i
\(745\) 33.9799 19.6183i 1.24493 0.718759i
\(746\) −8.81450 8.81450i −0.322722 0.322722i
\(747\) −4.45092 6.53625i −0.162851 0.239149i
\(748\) 5.08567 18.9800i 0.185951 0.693977i
\(749\) 3.33657 3.33657i 0.121916 0.121916i
\(750\) −18.9637 13.4635i −0.692456 0.491619i
\(751\) −30.7062 17.7282i −1.12048 0.646912i −0.178959 0.983856i \(-0.557273\pi\)
−0.941524 + 0.336945i \(0.890606\pi\)
\(752\) −2.42557 9.05234i −0.0884513 0.330105i
\(753\) 5.54886 2.54359i 0.202212 0.0926935i
\(754\) −16.7532 + 19.1651i −0.610114 + 0.697950i
\(755\) 73.1929i 2.66376i
\(756\) 5.19516 + 0.101576i 0.188946 + 0.00369428i
\(757\) −1.38028 + 2.39071i −0.0501670 + 0.0868919i −0.890018 0.455924i \(-0.849309\pi\)
0.839851 + 0.542816i \(0.182642\pi\)
\(758\) 15.4474 + 26.7557i 0.561075 + 0.971811i
\(759\) 11.0885 29.8586i 0.402488 1.08380i
\(760\) 7.95819 + 2.13239i 0.288674 + 0.0773500i
\(761\) −49.8082 13.3461i −1.80555 0.483794i −0.810724 0.585429i \(-0.800926\pi\)
−0.994822 + 0.101634i \(0.967593\pi\)
\(762\) −2.91014 + 7.83629i −0.105423 + 0.283879i
\(763\) −8.80864 15.2570i −0.318894 0.552341i
\(764\) 0.957440 1.65834i 0.0346390 0.0599965i
\(765\) 15.6694 32.4908i 0.566529 1.17471i
\(766\) 0.0434426i 0.00156965i
\(767\) 21.3106 24.3786i 0.769480 0.880259i
\(768\) −1.57451 + 0.721751i −0.0568152 + 0.0260440i
\(769\) −10.4913 39.1542i −0.378327 1.41194i −0.848422 0.529321i \(-0.822447\pi\)
0.470094 0.882616i \(-0.344220\pi\)
\(770\) −19.2987 11.1421i −0.695477 0.401534i
\(771\) −24.0121 17.0478i −0.864776 0.613960i
\(772\) −8.01217 + 8.01217i −0.288364 + 0.288364i
\(773\) 3.76133 14.0375i 0.135286 0.504892i −0.864711 0.502270i \(-0.832498\pi\)
0.999997 0.00262276i \(-0.000834851\pi\)