Properties

Label 64.2.i.a.5.3
Level $64$
Weight $2$
Character 64.5
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 5.3
Character \(\chi\) \(=\) 64.5
Dual form 64.2.i.a.13.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.599818 - 1.28071i) q^{2} +(-2.03902 - 1.36243i) q^{3} +(-1.28044 + 1.53639i) q^{4} +(-1.53851 - 0.306028i) q^{5} +(-0.521836 + 3.42860i) q^{6} +(1.01301 - 2.44562i) q^{7} +(2.73569 + 0.718315i) q^{8} +(1.15334 + 2.78440i) q^{9} +O(q^{10})\) \(q+(-0.599818 - 1.28071i) q^{2} +(-2.03902 - 1.36243i) q^{3} +(-1.28044 + 1.53639i) q^{4} +(-1.53851 - 0.306028i) q^{5} +(-0.521836 + 3.42860i) q^{6} +(1.01301 - 2.44562i) q^{7} +(2.73569 + 0.718315i) q^{8} +(1.15334 + 2.78440i) q^{9} +(0.530891 + 2.15394i) q^{10} +(-2.71620 - 4.06508i) q^{11} +(4.70405 - 1.38822i) q^{12} +(4.23055 - 0.841509i) q^{13} +(-3.73976 + 0.169557i) q^{14} +(2.72010 + 2.72010i) q^{15} +(-0.720966 - 3.93449i) q^{16} +(0.228271 - 0.228271i) q^{17} +(2.87422 - 3.14722i) q^{18} +(1.30758 + 6.57364i) q^{19} +(2.44014 - 1.97189i) q^{20} +(-5.39754 + 3.60652i) q^{21} +(-3.57696 + 5.91698i) q^{22} +(2.81320 - 1.16527i) q^{23} +(-4.59948 - 5.19185i) q^{24} +(-2.34605 - 0.971766i) q^{25} +(-3.61529 - 4.91336i) q^{26} +(0.00660900 - 0.0332257i) q^{27} +(2.46033 + 4.68784i) q^{28} +(1.67490 - 2.50666i) q^{29} +(1.85210 - 5.11523i) q^{30} +1.06551i q^{31} +(-4.60649 + 3.28333i) q^{32} +11.9894i q^{33} +(-0.429271 - 0.155428i) q^{34} +(-2.30695 + 3.45260i) q^{35} +(-5.75469 - 1.79328i) q^{36} +(2.13514 - 10.7341i) q^{37} +(7.63461 - 5.61762i) q^{38} +(-9.77267 - 4.04797i) q^{39} +(-3.98906 - 1.94233i) q^{40} +(-2.57626 + 1.06712i) q^{41} +(7.85644 + 4.74942i) q^{42} +(0.575838 - 0.384763i) q^{43} +(9.72346 + 1.03194i) q^{44} +(-0.922311 - 4.63677i) q^{45} +(-3.17978 - 2.90395i) q^{46} +(2.61525 - 2.61525i) q^{47} +(-3.89040 + 9.00477i) q^{48} +(-0.00513508 - 0.00513508i) q^{49} +(0.162653 + 3.58749i) q^{50} +(-0.776454 + 0.154446i) q^{51} +(-4.12407 + 7.57726i) q^{52} +(2.60438 + 3.89774i) q^{53} +(-0.0465166 + 0.0114652i) q^{54} +(2.93486 + 7.08539i) q^{55} +(4.52801 - 5.96282i) q^{56} +(6.28994 - 15.1853i) q^{57} +(-4.21494 - 0.641518i) q^{58} +(8.66346 + 1.72327i) q^{59} +(-7.66205 + 0.696210i) q^{60} +(6.23588 + 4.16668i) q^{61} +(1.36462 - 0.639115i) q^{62} +7.97794 q^{63} +(6.96805 + 3.93018i) q^{64} -6.76625 q^{65} +(15.3550 - 7.19147i) q^{66} +(-6.91594 - 4.62108i) q^{67} +(0.0584261 + 0.643000i) q^{68} +(-7.32376 - 1.45679i) q^{69} +(5.80553 + 0.883605i) q^{70} +(-0.606236 + 1.46358i) q^{71} +(1.15510 + 8.44573i) q^{72} +(-1.36883 - 3.30465i) q^{73} +(-15.0279 + 3.70399i) q^{74} +(3.45968 + 5.17778i) q^{75} +(-11.7739 - 6.40818i) q^{76} +(-12.6932 + 2.52483i) q^{77} +(0.677547 + 14.9440i) q^{78} +(4.69681 + 4.69681i) q^{79} +(-0.0948532 + 6.27387i) q^{80} +(6.33452 - 6.33452i) q^{81} +(2.91196 + 2.65936i) q^{82} +(0.803913 + 4.04154i) q^{83} +(1.37020 - 12.9106i) q^{84} +(-0.421054 + 0.281340i) q^{85} +(-0.838168 - 0.506694i) q^{86} +(-6.83030 + 2.82920i) q^{87} +(-4.51069 - 13.0719i) q^{88} +(-10.3334 - 4.28021i) q^{89} +(-5.38514 + 3.96243i) q^{90} +(2.22758 - 11.1988i) q^{91} +(-1.81182 + 5.81421i) q^{92} +(1.45169 - 2.17261i) q^{93} +(-4.91805 - 1.78070i) q^{94} -10.5137i q^{95} +(13.8660 - 0.418748i) q^{96} -7.30754i q^{97} +(-0.00349643 + 0.00965666i) q^{98} +(8.18612 - 12.2514i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{1}{16}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.599818 1.28071i −0.424136 0.905599i
\(3\) −2.03902 1.36243i −1.17723 0.786599i −0.196219 0.980560i \(-0.562866\pi\)
−0.981009 + 0.193961i \(0.937866\pi\)
\(4\) −1.28044 + 1.53639i −0.640218 + 0.768193i
\(5\) −1.53851 0.306028i −0.688041 0.136860i −0.161325 0.986901i \(-0.551577\pi\)
−0.526716 + 0.850041i \(0.676577\pi\)
\(6\) −0.521836 + 3.42860i −0.213039 + 1.39972i
\(7\) 1.01301 2.44562i 0.382882 0.924359i −0.608524 0.793536i \(-0.708238\pi\)
0.991406 0.130823i \(-0.0417620\pi\)
\(8\) 2.73569 + 0.718315i 0.967214 + 0.253963i
\(9\) 1.15334 + 2.78440i 0.384446 + 0.928134i
\(10\) 0.530891 + 2.15394i 0.167882 + 0.681136i
\(11\) −2.71620 4.06508i −0.818965 1.22567i −0.971422 0.237358i \(-0.923719\pi\)
0.152457 0.988310i \(-0.451281\pi\)
\(12\) 4.70405 1.38822i 1.35794 0.400744i
\(13\) 4.23055 0.841509i 1.17334 0.233393i 0.430332 0.902671i \(-0.358397\pi\)
0.743012 + 0.669278i \(0.233397\pi\)
\(14\) −3.73976 + 0.169557i −0.999492 + 0.0453160i
\(15\) 2.72010 + 2.72010i 0.702327 + 0.702327i
\(16\) −0.720966 3.93449i −0.180241 0.983622i
\(17\) 0.228271 0.228271i 0.0553640 0.0553640i −0.678883 0.734247i \(-0.737536\pi\)
0.734247 + 0.678883i \(0.237536\pi\)
\(18\) 2.87422 3.14722i 0.677460 0.741808i
\(19\) 1.30758 + 6.57364i 0.299979 + 1.50810i 0.777167 + 0.629295i \(0.216656\pi\)
−0.477188 + 0.878801i \(0.658344\pi\)
\(20\) 2.44014 1.97189i 0.545631 0.440928i
\(21\) −5.39754 + 3.60652i −1.17784 + 0.787007i
\(22\) −3.57696 + 5.91698i −0.762611 + 1.26150i
\(23\) 2.81320 1.16527i 0.586593 0.242975i −0.0695913 0.997576i \(-0.522170\pi\)
0.656184 + 0.754601i \(0.272170\pi\)
\(24\) −4.59948 5.19185i −0.938865 1.05978i
\(25\) −2.34605 0.971766i −0.469210 0.194353i
\(26\) −3.61529 4.91336i −0.709017 0.963589i
\(27\) 0.00660900 0.0332257i 0.00127190 0.00639428i
\(28\) 2.46033 + 4.68784i 0.464958 + 0.885918i
\(29\) 1.67490 2.50666i 0.311021 0.465476i −0.642722 0.766100i \(-0.722195\pi\)
0.953743 + 0.300624i \(0.0971949\pi\)
\(30\) 1.85210 5.11523i 0.338145 0.933909i
\(31\) 1.06551i 0.191372i 0.995412 + 0.0956860i \(0.0305045\pi\)
−0.995412 + 0.0956860i \(0.969496\pi\)
\(32\) −4.60649 + 3.28333i −0.814320 + 0.580416i
\(33\) 11.9894i 2.08709i
\(34\) −0.429271 0.155428i −0.0736193 0.0266557i
\(35\) −2.30695 + 3.45260i −0.389946 + 0.583595i
\(36\) −5.75469 1.79328i −0.959115 0.298880i
\(37\) 2.13514 10.7341i 0.351014 1.76467i −0.252775 0.967525i \(-0.581343\pi\)
0.603790 0.797144i \(-0.293657\pi\)
\(38\) 7.63461 5.61762i 1.23850 0.911297i
\(39\) −9.77267 4.04797i −1.56488 0.648195i
\(40\) −3.98906 1.94233i −0.630725 0.307109i
\(41\) −2.57626 + 1.06712i −0.402344 + 0.166657i −0.574673 0.818383i \(-0.694871\pi\)
0.172329 + 0.985039i \(0.444871\pi\)
\(42\) 7.85644 + 4.74942i 1.21228 + 0.732852i
\(43\) 0.575838 0.384763i 0.0878145 0.0586758i −0.510888 0.859647i \(-0.670683\pi\)
0.598702 + 0.800972i \(0.295683\pi\)
\(44\) 9.72346 + 1.03194i 1.46587 + 0.155571i
\(45\) −0.922311 4.63677i −0.137490 0.691209i
\(46\) −3.17978 2.90395i −0.468832 0.428163i
\(47\) 2.61525 2.61525i 0.381474 0.381474i −0.490159 0.871633i \(-0.663061\pi\)
0.871633 + 0.490159i \(0.163061\pi\)
\(48\) −3.89040 + 9.00477i −0.561531 + 1.29973i
\(49\) −0.00513508 0.00513508i −0.000733583 0.000733583i
\(50\) 0.162653 + 3.58749i 0.0230027 + 0.507348i
\(51\) −0.776454 + 0.154446i −0.108725 + 0.0216268i
\(52\) −4.12407 + 7.57726i −0.571905 + 1.05078i
\(53\) 2.60438 + 3.89774i 0.357740 + 0.535395i 0.966067 0.258291i \(-0.0831593\pi\)
−0.608327 + 0.793686i \(0.708159\pi\)
\(54\) −0.0465166 + 0.0114652i −0.00633011 + 0.00156021i
\(55\) 2.93486 + 7.08539i 0.395737 + 0.955393i
\(56\) 4.52801 5.96282i 0.605081 0.796815i
\(57\) 6.28994 15.1853i 0.833123 2.01134i
\(58\) −4.21494 0.641518i −0.553449 0.0842354i
\(59\) 8.66346 + 1.72327i 1.12789 + 0.224351i 0.723558 0.690263i \(-0.242505\pi\)
0.404328 + 0.914614i \(0.367505\pi\)
\(60\) −7.66205 + 0.696210i −0.989166 + 0.0898804i
\(61\) 6.23588 + 4.16668i 0.798422 + 0.533489i 0.886557 0.462620i \(-0.153091\pi\)
−0.0881344 + 0.996109i \(0.528091\pi\)
\(62\) 1.36462 0.639115i 0.173306 0.0811677i
\(63\) 7.97794 1.00513
\(64\) 6.96805 + 3.93018i 0.871006 + 0.491273i
\(65\) −6.76625 −0.839251
\(66\) 15.3550 7.19147i 1.89006 0.885208i
\(67\) −6.91594 4.62108i −0.844917 0.564555i 0.0560578 0.998428i \(-0.482147\pi\)
−0.900974 + 0.433872i \(0.857147\pi\)
\(68\) 0.0584261 + 0.643000i 0.00708520 + 0.0779752i
\(69\) −7.32376 1.45679i −0.881677 0.175376i
\(70\) 5.80553 + 0.883605i 0.693893 + 0.105611i
\(71\) −0.606236 + 1.46358i −0.0719470 + 0.173695i −0.955762 0.294141i \(-0.904966\pi\)
0.883815 + 0.467837i \(0.154966\pi\)
\(72\) 1.15510 + 8.44573i 0.136130 + 0.995339i
\(73\) −1.36883 3.30465i −0.160210 0.386780i 0.823307 0.567596i \(-0.192126\pi\)
−0.983517 + 0.180816i \(0.942126\pi\)
\(74\) −15.0279 + 3.70399i −1.74696 + 0.430580i
\(75\) 3.45968 + 5.17778i 0.399489 + 0.597878i
\(76\) −11.7739 6.40818i −1.35056 0.735069i
\(77\) −12.6932 + 2.52483i −1.44652 + 0.287732i
\(78\) 0.677547 + 14.9440i 0.0767170 + 1.69208i
\(79\) 4.69681 + 4.69681i 0.528433 + 0.528433i 0.920105 0.391672i \(-0.128103\pi\)
−0.391672 + 0.920105i \(0.628103\pi\)
\(80\) −0.0948532 + 6.27387i −0.0106049 + 0.701440i
\(81\) 6.33452 6.33452i 0.703836 0.703836i
\(82\) 2.91196 + 2.65936i 0.321573 + 0.293678i
\(83\) 0.803913 + 4.04154i 0.0882409 + 0.443617i 0.999495 + 0.0317726i \(0.0101152\pi\)
−0.911254 + 0.411844i \(0.864885\pi\)
\(84\) 1.37020 12.9106i 0.149501 1.40866i
\(85\) −0.421054 + 0.281340i −0.0456698 + 0.0305156i
\(86\) −0.838168 0.506694i −0.0903820 0.0546382i
\(87\) −6.83030 + 2.82920i −0.732286 + 0.303323i
\(88\) −4.51069 13.0719i −0.480841 1.39347i
\(89\) −10.3334 4.28021i −1.09533 0.453702i −0.239470 0.970904i \(-0.576974\pi\)
−0.855863 + 0.517202i \(0.826974\pi\)
\(90\) −5.38514 + 3.96243i −0.567644 + 0.417677i
\(91\) 2.22758 11.1988i 0.233514 1.17395i
\(92\) −1.81182 + 5.81421i −0.188896 + 0.606173i
\(93\) 1.45169 2.17261i 0.150533 0.225289i
\(94\) −4.91805 1.78070i −0.507258 0.183665i
\(95\) 10.5137i 1.07869i
\(96\) 13.8660 0.418748i 1.41520 0.0427382i
\(97\) 7.30754i 0.741969i −0.928639 0.370984i \(-0.879020\pi\)
0.928639 0.370984i \(-0.120980\pi\)
\(98\) −0.00349643 + 0.00965666i −0.000353193 + 0.000975470i
\(99\) 8.18612 12.2514i 0.822736 1.23131i
\(100\) 4.49698 2.36015i 0.449698 0.236015i
\(101\) −2.69620 + 13.5547i −0.268281 + 1.34874i 0.578013 + 0.816027i \(0.303828\pi\)
−0.846295 + 0.532715i \(0.821172\pi\)
\(102\) 0.663532 + 0.901772i 0.0656994 + 0.0892888i
\(103\) −8.88954 3.68217i −0.875913 0.362815i −0.101002 0.994886i \(-0.532205\pi\)
−0.774910 + 0.632071i \(0.782205\pi\)
\(104\) 12.1780 + 0.736758i 1.19415 + 0.0722450i
\(105\) 9.40784 3.89685i 0.918111 0.380294i
\(106\) 3.42971 5.67340i 0.333123 0.551049i
\(107\) −3.97920 + 2.65882i −0.384684 + 0.257037i −0.732843 0.680398i \(-0.761807\pi\)
0.348159 + 0.937435i \(0.386807\pi\)
\(108\) 0.0425851 + 0.0526973i 0.00409775 + 0.00507080i
\(109\) 1.26589 + 6.36406i 0.121250 + 0.609566i 0.992852 + 0.119352i \(0.0380816\pi\)
−0.871602 + 0.490215i \(0.836918\pi\)
\(110\) 7.31394 8.00865i 0.697357 0.763595i
\(111\) −18.9780 + 18.9780i −1.80131 + 1.80131i
\(112\) −10.3526 2.22247i −0.978231 0.210003i
\(113\) 10.3282 + 10.3282i 0.971595 + 0.971595i 0.999608 0.0280126i \(-0.00891785\pi\)
−0.0280126 + 0.999608i \(0.508918\pi\)
\(114\) −23.2207 + 1.05280i −2.17482 + 0.0986042i
\(115\) −4.68473 + 0.931850i −0.436853 + 0.0868955i
\(116\) 1.70660 + 5.78292i 0.158454 + 0.536930i
\(117\) 7.22235 + 10.8090i 0.667706 + 0.999293i
\(118\) −2.98949 12.1290i −0.275205 1.11657i
\(119\) −0.327025 0.789507i −0.0299783 0.0723740i
\(120\) 5.48748 + 9.39526i 0.500936 + 0.857666i
\(121\) −4.93762 + 11.9205i −0.448875 + 1.08368i
\(122\) 1.59592 10.4856i 0.144487 0.949322i
\(123\) 6.70693 + 1.33409i 0.604743 + 0.120291i
\(124\) −1.63704 1.36432i −0.147011 0.122520i
\(125\) 9.83344 + 6.57049i 0.879529 + 0.587683i
\(126\) −4.78531 10.2174i −0.426309 0.910241i
\(127\) 3.04637 0.270322 0.135161 0.990824i \(-0.456845\pi\)
0.135161 + 0.990824i \(0.456845\pi\)
\(128\) 0.853861 11.2814i 0.0754714 0.997148i
\(129\) −1.69836 −0.149532
\(130\) 4.05852 + 8.66561i 0.355956 + 0.760024i
\(131\) 6.26153 + 4.18382i 0.547072 + 0.365542i 0.798182 0.602417i \(-0.205795\pi\)
−0.251109 + 0.967959i \(0.580795\pi\)
\(132\) −18.4204 15.3517i −1.60329 1.33619i
\(133\) 17.4012 + 3.46132i 1.50888 + 0.300134i
\(134\) −1.76996 + 11.6291i −0.152901 + 1.00460i
\(135\) −0.0203360 + 0.0490953i −0.00175024 + 0.00422545i
\(136\) 0.788452 0.460510i 0.0676092 0.0394884i
\(137\) 2.52012 + 6.08411i 0.215308 + 0.519800i 0.994224 0.107329i \(-0.0342298\pi\)
−0.778915 + 0.627129i \(0.784230\pi\)
\(138\) 2.52720 + 10.2534i 0.215130 + 0.872829i
\(139\) −2.36467 3.53898i −0.200569 0.300172i 0.717527 0.696530i \(-0.245274\pi\)
−0.918096 + 0.396358i \(0.870274\pi\)
\(140\) −2.35062 7.96520i −0.198663 0.673182i
\(141\) −8.89564 + 1.76945i −0.749148 + 0.149015i
\(142\) 2.23806 0.101471i 0.187814 0.00851528i
\(143\) −14.9118 14.9118i −1.24699 1.24699i
\(144\) 10.1237 6.54525i 0.843640 0.545437i
\(145\) −3.34395 + 3.34395i −0.277700 + 0.277700i
\(146\) −3.41125 + 3.73526i −0.282317 + 0.309133i
\(147\) 0.00347435 + 0.0174667i 0.000286559 + 0.00144063i
\(148\) 13.7578 + 17.0247i 1.13088 + 1.39942i
\(149\) −2.62422 + 1.75345i −0.214985 + 0.143648i −0.658400 0.752668i \(-0.728767\pi\)
0.443416 + 0.896316i \(0.353767\pi\)
\(150\) 4.55605 7.53657i 0.372000 0.615358i
\(151\) 15.7824 6.53730i 1.28436 0.531998i 0.367058 0.930198i \(-0.380365\pi\)
0.917298 + 0.398200i \(0.130365\pi\)
\(152\) −1.14481 + 18.9227i −0.0928564 + 1.53483i
\(153\) 0.898873 + 0.372325i 0.0726696 + 0.0301007i
\(154\) 10.8472 + 14.7419i 0.874091 + 1.18793i
\(155\) 0.326077 1.63930i 0.0261912 0.131672i
\(156\) 18.7325 9.83143i 1.49980 0.787144i
\(157\) 1.83146 2.74098i 0.146167 0.218754i −0.751161 0.660119i \(-0.770506\pi\)
0.897328 + 0.441365i \(0.145506\pi\)
\(158\) 3.19802 8.83249i 0.254421 0.702675i
\(159\) 11.4959i 0.911680i
\(160\) 8.09190 3.64170i 0.639721 0.287902i
\(161\) 8.06045i 0.635253i
\(162\) −11.9122 4.31312i −0.935915 0.338871i
\(163\) −1.97712 + 2.95896i −0.154860 + 0.231764i −0.900785 0.434266i \(-0.857008\pi\)
0.745925 + 0.666030i \(0.232008\pi\)
\(164\) 1.65923 5.32452i 0.129564 0.415775i
\(165\) 3.66909 18.4458i 0.285639 1.43600i
\(166\) 4.69384 3.45377i 0.364313 0.268064i
\(167\) 11.7493 + 4.86672i 0.909189 + 0.376598i 0.787746 0.616000i \(-0.211248\pi\)
0.121443 + 0.992598i \(0.461248\pi\)
\(168\) −17.3566 + 5.98920i −1.33909 + 0.462077i
\(169\) 5.17899 2.14521i 0.398384 0.165016i
\(170\) 0.612870 + 0.370496i 0.0470050 + 0.0284157i
\(171\) −16.7956 + 11.2224i −1.28439 + 0.858201i
\(172\) −0.146180 + 1.37737i −0.0111461 + 0.105024i
\(173\) 0.119835 + 0.602450i 0.00911086 + 0.0458034i 0.985073 0.172135i \(-0.0550667\pi\)
−0.975962 + 0.217939i \(0.930067\pi\)
\(174\) 7.72033 + 7.05063i 0.585277 + 0.534507i
\(175\) −4.75315 + 4.75315i −0.359304 + 0.359304i
\(176\) −14.0357 + 13.6176i −1.05798 + 1.02647i
\(177\) −15.3171 15.3171i −1.15131 1.15131i
\(178\) 0.716419 + 15.8014i 0.0536979 + 1.18436i
\(179\) 17.8336 3.54732i 1.33294 0.265139i 0.523344 0.852122i \(-0.324684\pi\)
0.809600 + 0.586983i \(0.199684\pi\)
\(180\) 8.30483 + 4.52006i 0.619006 + 0.336906i
\(181\) −13.1144 19.6270i −0.974783 1.45887i −0.886477 0.462772i \(-0.846855\pi\)
−0.0883053 0.996093i \(-0.528145\pi\)
\(182\) −15.6785 + 3.86436i −1.16217 + 0.286445i
\(183\) −7.03827 16.9919i −0.520284 1.25608i
\(184\) 8.53308 1.16705i 0.629067 0.0860358i
\(185\) −6.56984 + 15.8610i −0.483024 + 1.16612i
\(186\) −3.65323 0.556024i −0.267868 0.0407696i
\(187\) −1.54797 0.307911i −0.113199 0.0225167i
\(188\) 0.669374 + 7.36670i 0.0488191 + 0.537272i
\(189\) −0.0745625 0.0498210i −0.00542362 0.00362395i
\(190\) −13.4650 + 6.30633i −0.976857 + 0.457509i
\(191\) −9.08320 −0.657237 −0.328619 0.944463i \(-0.606583\pi\)
−0.328619 + 0.944463i \(0.606583\pi\)
\(192\) −8.85339 17.5072i −0.638938 1.26347i
\(193\) −23.8071 −1.71367 −0.856836 0.515589i \(-0.827573\pi\)
−0.856836 + 0.515589i \(0.827573\pi\)
\(194\) −9.35885 + 4.38320i −0.671926 + 0.314695i
\(195\) 13.7965 + 9.21854i 0.987990 + 0.660154i
\(196\) 0.0144646 0.00131432i 0.00103319 9.38803e-5i
\(197\) −7.77466 1.54648i −0.553922 0.110182i −0.0898105 0.995959i \(-0.528626\pi\)
−0.464111 + 0.885777i \(0.653626\pi\)
\(198\) −20.6007 3.13544i −1.46403 0.222826i
\(199\) −3.63779 + 8.78239i −0.257876 + 0.622567i −0.998798 0.0490240i \(-0.984389\pi\)
0.740922 + 0.671591i \(0.234389\pi\)
\(200\) −5.72004 4.34366i −0.404468 0.307143i
\(201\) 7.80584 + 18.8450i 0.550581 + 1.32922i
\(202\) 18.9769 4.67730i 1.33521 0.329094i
\(203\) −4.43367 6.63545i −0.311182 0.465717i
\(204\) 0.756910 1.39069i 0.0529943 0.0973679i
\(205\) 4.29016 0.853366i 0.299638 0.0596017i
\(206\) 0.616318 + 13.5936i 0.0429409 + 0.947108i
\(207\) 6.48913 + 6.48913i 0.451026 + 0.451026i
\(208\) −6.36099 16.0384i −0.441055 1.11206i
\(209\) 23.1707 23.1707i 1.60275 1.60275i
\(210\) −10.6337 9.71131i −0.733797 0.670144i
\(211\) −1.94225 9.76436i −0.133710 0.672206i −0.988253 0.152825i \(-0.951163\pi\)
0.854543 0.519380i \(-0.173837\pi\)
\(212\) −9.32318 0.989463i −0.640319 0.0679566i
\(213\) 3.23016 2.15832i 0.221327 0.147886i
\(214\) 5.79197 + 3.50139i 0.395931 + 0.239350i
\(215\) −1.00368 + 0.415738i −0.0684503 + 0.0283531i
\(216\) 0.0419467 0.0861479i 0.00285411 0.00586162i
\(217\) 2.60585 + 1.07938i 0.176896 + 0.0732729i
\(218\) 7.39121 5.43852i 0.500596 0.368343i
\(219\) −1.71128 + 8.60318i −0.115638 + 0.581349i
\(220\) −14.6438 4.56330i −0.987284 0.307658i
\(221\) 0.773622 1.15781i 0.0520394 0.0778825i
\(222\) 35.6886 + 12.9220i 2.39526 + 0.867265i
\(223\) 12.2329i 0.819179i 0.912270 + 0.409589i \(0.134328\pi\)
−0.912270 + 0.409589i \(0.865672\pi\)
\(224\) 3.36336 + 14.5918i 0.224724 + 0.974955i
\(225\) 7.65312i 0.510208i
\(226\) 7.03238 19.4225i 0.467787 1.29196i
\(227\) 9.90466 14.8234i 0.657395 0.983861i −0.341635 0.939833i \(-0.610981\pi\)
0.999030 0.0440287i \(-0.0140193\pi\)
\(228\) 15.2766 + 29.1075i 1.01171 + 1.92769i
\(229\) −3.25861 + 16.3821i −0.215335 + 1.08256i 0.710229 + 0.703971i \(0.248591\pi\)
−0.925564 + 0.378591i \(0.876409\pi\)
\(230\) 4.00342 + 5.44084i 0.263977 + 0.358758i
\(231\) 29.3216 + 12.1454i 1.92922 + 0.799108i
\(232\) 6.38259 5.65436i 0.419037 0.371227i
\(233\) −9.60560 + 3.97877i −0.629283 + 0.260658i −0.674449 0.738322i \(-0.735619\pi\)
0.0451652 + 0.998980i \(0.485619\pi\)
\(234\) 9.51111 15.7332i 0.621761 1.02851i
\(235\) −4.82392 + 3.22324i −0.314678 + 0.210261i
\(236\) −13.7406 + 11.1039i −0.894438 + 0.722801i
\(237\) −3.17782 15.9760i −0.206421 1.03775i
\(238\) −0.814974 + 0.892384i −0.0528269 + 0.0578447i
\(239\) 14.7694 14.7694i 0.955353 0.955353i −0.0436917 0.999045i \(-0.513912\pi\)
0.999045 + 0.0436917i \(0.0139119\pi\)
\(240\) 8.74111 12.6633i 0.564236 0.817414i
\(241\) 7.07909 + 7.07909i 0.456004 + 0.456004i 0.897341 0.441337i \(-0.145496\pi\)
−0.441337 + 0.897341i \(0.645496\pi\)
\(242\) 18.2284 0.826456i 1.17176 0.0531266i
\(243\) −21.6462 + 4.30570i −1.38861 + 0.276211i
\(244\) −14.3863 + 4.24555i −0.920987 + 0.271793i
\(245\) 0.00632887 + 0.00947183i 0.000404337 + 0.000605133i
\(246\) −2.31435 9.38984i −0.147558 0.598674i
\(247\) 11.0635 + 26.7098i 0.703957 + 1.69950i
\(248\) −0.765375 + 2.91492i −0.0486014 + 0.185098i
\(249\) 3.86712 9.33606i 0.245069 0.591649i
\(250\) 2.51662 16.5349i 0.159165 1.04576i
\(251\) −17.5456 3.49003i −1.10747 0.220289i −0.392710 0.919662i \(-0.628462\pi\)
−0.714756 + 0.699374i \(0.753462\pi\)
\(252\) −10.2152 + 12.2572i −0.643500 + 0.772131i
\(253\) −12.3781 8.27079i −0.778205 0.519980i
\(254\) −1.82727 3.90152i −0.114653 0.244803i
\(255\) 1.24184 0.0777672
\(256\) −14.9604 + 5.67327i −0.935026 + 0.354579i
\(257\) 26.9095 1.67857 0.839284 0.543694i \(-0.182975\pi\)
0.839284 + 0.543694i \(0.182975\pi\)
\(258\) 1.01871 + 2.17510i 0.0634219 + 0.135416i
\(259\) −24.0885 16.0955i −1.49679 1.00012i
\(260\) 8.66376 10.3956i 0.537303 0.644707i
\(261\) 8.91128 + 1.77256i 0.551594 + 0.109719i
\(262\) 1.60248 10.5287i 0.0990016 0.650467i
\(263\) 1.36380 3.29251i 0.0840956 0.203025i −0.876238 0.481879i \(-0.839955\pi\)
0.960334 + 0.278854i \(0.0899546\pi\)
\(264\) −8.61218 + 32.7994i −0.530043 + 2.01866i
\(265\) −2.81405 6.79371i −0.172865 0.417334i
\(266\) −6.00463 24.3621i −0.368167 1.49374i
\(267\) 15.2384 + 22.8059i 0.932576 + 1.39570i
\(268\) 15.9552 4.70855i 0.974618 0.287621i
\(269\) −19.9604 + 3.97036i −1.21700 + 0.242077i −0.761505 0.648159i \(-0.775539\pi\)
−0.455499 + 0.890236i \(0.650539\pi\)
\(270\) 0.0750748 0.00340382i 0.00456891 0.000207150i
\(271\) −1.83438 1.83438i −0.111431 0.111431i 0.649193 0.760624i \(-0.275107\pi\)
−0.760624 + 0.649193i \(0.775107\pi\)
\(272\) −1.06271 0.733556i −0.0644361 0.0444783i
\(273\) −19.7996 + 19.7996i −1.19833 + 1.19833i
\(274\) 6.28036 6.87690i 0.379411 0.415449i
\(275\) 2.42204 + 12.1764i 0.146054 + 0.734264i
\(276\) 11.6158 9.38680i 0.699189 0.565019i
\(277\) 20.9494 13.9979i 1.25873 0.841055i 0.266300 0.963890i \(-0.414199\pi\)
0.992427 + 0.122835i \(0.0391987\pi\)
\(278\) −3.11403 + 5.15120i −0.186767 + 0.308948i
\(279\) −2.96682 + 1.22890i −0.177619 + 0.0735722i
\(280\) −8.79117 + 7.78813i −0.525373 + 0.465430i
\(281\) 11.8565 + 4.91114i 0.707302 + 0.292974i 0.707188 0.707026i \(-0.249964\pi\)
0.000114440 1.00000i \(0.499964\pi\)
\(282\) 7.60192 + 10.3314i 0.452688 + 0.615225i
\(283\) −2.20386 + 11.0795i −0.131006 + 0.658610i 0.858347 + 0.513070i \(0.171492\pi\)
−0.989352 + 0.145540i \(0.953508\pi\)
\(284\) −1.47238 2.80544i −0.0873699 0.166472i
\(285\) −14.3242 + 21.4377i −0.848494 + 1.26986i
\(286\) −10.1533 + 28.0421i −0.600380 + 1.65817i
\(287\) 7.38157i 0.435720i
\(288\) −14.4549 9.03954i −0.851765 0.532660i
\(289\) 16.8958i 0.993870i
\(290\) 6.28840 + 2.27687i 0.369267 + 0.133702i
\(291\) −9.95601 + 14.9002i −0.583632 + 0.873467i
\(292\) 6.82992 + 2.12834i 0.399691 + 0.124552i
\(293\) 3.55830 17.8888i 0.207878 1.04507i −0.726058 0.687633i \(-0.758650\pi\)
0.933936 0.357440i \(-0.116350\pi\)
\(294\) 0.0202858 0.0149265i 0.00118309 0.000870530i
\(295\) −12.8014 5.30252i −0.745327 0.308725i
\(296\) 13.5515 27.8314i 0.787666 1.61767i
\(297\) −0.153016 + 0.0633815i −0.00887891 + 0.00367777i
\(298\) 3.81972 + 2.30912i 0.221270 + 0.133764i
\(299\) 10.9208 7.29705i 0.631566 0.421999i
\(300\) −12.3850 1.31441i −0.715046 0.0758874i
\(301\) −0.357655 1.79805i −0.0206149 0.103638i
\(302\) −17.8390 16.2915i −1.02652 0.937472i
\(303\) 23.9649 23.9649i 1.37675 1.37675i
\(304\) 24.9212 9.88402i 1.42933 0.566887i
\(305\) −8.31881 8.31881i −0.476334 0.476334i
\(306\) −0.0623195 1.37452i −0.00356257 0.0785763i
\(307\) 6.20347 1.23395i 0.354051 0.0704251i −0.0148607 0.999890i \(-0.504730\pi\)
0.368912 + 0.929464i \(0.379730\pi\)
\(308\) 12.3737 22.7345i 0.705058 1.29542i
\(309\) 13.1093 + 19.6194i 0.745759 + 1.11611i
\(310\) −2.29506 + 0.565672i −0.130350 + 0.0321280i
\(311\) 6.82557 + 16.4784i 0.387042 + 0.934403i 0.990563 + 0.137056i \(0.0437640\pi\)
−0.603521 + 0.797347i \(0.706236\pi\)
\(312\) −23.8273 18.0939i −1.34896 1.02436i
\(313\) −2.69923 + 6.51651i −0.152569 + 0.368335i −0.981622 0.190836i \(-0.938880\pi\)
0.829053 + 0.559170i \(0.188880\pi\)
\(314\) −4.60895 0.701485i −0.260098 0.0395871i
\(315\) −12.2741 2.44147i −0.691567 0.137561i
\(316\) −13.2301 + 1.20215i −0.744251 + 0.0676262i
\(317\) −27.9024 18.6438i −1.56716 1.04714i −0.969408 0.245456i \(-0.921062\pi\)
−0.597748 0.801684i \(-0.703938\pi\)
\(318\) −14.7229 + 6.89542i −0.825617 + 0.386676i
\(319\) −14.7392 −0.825234
\(320\) −9.51764 8.17902i −0.532052 0.457221i
\(321\) 11.7361 0.655046
\(322\) −10.3231 + 4.83481i −0.575284 + 0.269433i
\(323\) 1.79906 + 1.20209i 0.100102 + 0.0668861i
\(324\) 1.62132 + 17.8432i 0.0900734 + 0.991290i
\(325\) −10.7428 2.13688i −0.595905 0.118533i
\(326\) 4.97549 + 0.757273i 0.275567 + 0.0419415i
\(327\) 6.08941 14.7011i 0.336745 0.812974i
\(328\) −7.81439 + 1.06875i −0.431478 + 0.0590120i
\(329\) −3.74664 9.04519i −0.206559 0.498678i
\(330\) −25.8245 + 6.36507i −1.42159 + 0.350386i
\(331\) −6.61521 9.90037i −0.363605 0.544173i 0.603889 0.797069i \(-0.293617\pi\)
−0.967494 + 0.252895i \(0.918617\pi\)
\(332\) −7.23873 3.93982i −0.397277 0.216226i
\(333\) 32.3505 6.43491i 1.77279 0.352631i
\(334\) −0.814588 17.9666i −0.0445723 0.983089i
\(335\) 9.22604 + 9.22604i 0.504072 + 0.504072i
\(336\) 18.0812 + 18.6364i 0.986413 + 1.01670i
\(337\) −21.7272 + 21.7272i −1.18356 + 1.18356i −0.204740 + 0.978816i \(0.565635\pi\)
−0.978816 + 0.204740i \(0.934365\pi\)
\(338\) −5.85385 5.34605i −0.318407 0.290787i
\(339\) −6.98796 35.1308i −0.379534 1.90804i
\(340\) 0.106887 1.00714i 0.00579677 0.0546198i
\(341\) 4.33140 2.89415i 0.234559 0.156727i
\(342\) 24.4470 + 14.7788i 1.32194 + 0.799147i
\(343\) 17.1016 7.08372i 0.923400 0.382485i
\(344\) 1.85170 0.638960i 0.0998369 0.0344504i
\(345\) 10.8218 + 4.48255i 0.582628 + 0.241332i
\(346\) 0.699684 0.514834i 0.0376153 0.0276776i
\(347\) −6.17477 + 31.0427i −0.331479 + 1.66646i 0.351628 + 0.936140i \(0.385628\pi\)
−0.683107 + 0.730318i \(0.739372\pi\)
\(348\) 4.39902 14.1166i 0.235812 0.756729i
\(349\) −3.28116 + 4.91061i −0.175637 + 0.262859i −0.908835 0.417156i \(-0.863027\pi\)
0.733198 + 0.680015i \(0.238027\pi\)
\(350\) 8.93842 + 3.23638i 0.477779 + 0.172992i
\(351\) 0.146124i 0.00779954i
\(352\) 25.8591 + 9.80759i 1.37830 + 0.522746i
\(353\) 0.529453i 0.0281800i −0.999901 0.0140900i \(-0.995515\pi\)
0.999901 0.0140900i \(-0.00448513\pi\)
\(354\) −10.4293 + 28.8043i −0.554312 + 1.53093i
\(355\) 1.38060 2.06621i 0.0732744 0.109663i
\(356\) 19.8073 10.3955i 1.04978 0.550959i
\(357\) −0.408838 + 2.05537i −0.0216380 + 0.108782i
\(358\) −15.2400 20.7119i −0.805458 1.09466i
\(359\) −20.4053 8.45215i −1.07695 0.446087i −0.227512 0.973775i \(-0.573059\pi\)
−0.849438 + 0.527688i \(0.823059\pi\)
\(360\) 0.807502 13.3473i 0.0425591 0.703464i
\(361\) −23.9492 + 9.92010i −1.26049 + 0.522110i
\(362\) −17.2703 + 28.5683i −0.907707 + 1.50152i
\(363\) 26.3087 17.5789i 1.38085 0.922654i
\(364\) 14.3534 + 17.7618i 0.752322 + 0.930969i
\(365\) 1.09464 + 5.50312i 0.0572960 + 0.288047i
\(366\) −17.5400 + 19.2060i −0.916830 + 1.00391i
\(367\) −14.5467 + 14.5467i −0.759333 + 0.759333i −0.976201 0.216868i \(-0.930416\pi\)
0.216868 + 0.976201i \(0.430416\pi\)
\(368\) −6.61295 10.2284i −0.344724 0.533192i
\(369\) −5.94259 5.94259i −0.309359 0.309359i
\(370\) 24.2541 1.09965i 1.26091 0.0571683i
\(371\) 12.1707 2.42090i 0.631869 0.125687i
\(372\) 1.47917 + 5.01224i 0.0766912 + 0.259872i
\(373\) −10.8226 16.1972i −0.560375 0.838660i 0.437799 0.899073i \(-0.355758\pi\)
−0.998173 + 0.0604127i \(0.980758\pi\)
\(374\) 0.534158 + 2.16720i 0.0276206 + 0.112063i
\(375\) −11.0987 26.7947i −0.573136 1.38367i
\(376\) 9.03310 5.27595i 0.465847 0.272086i
\(377\) 4.97637 12.0140i 0.256296 0.618753i
\(378\) −0.0190824 + 0.125376i −0.000981492 + 0.00644867i
\(379\) 21.0139 + 4.17992i 1.07941 + 0.214708i 0.702602 0.711583i \(-0.252022\pi\)
0.376808 + 0.926291i \(0.377022\pi\)
\(380\) 16.1532 + 13.4622i 0.828640 + 0.690595i
\(381\) −6.21161 4.15047i −0.318231 0.212635i
\(382\) 5.44827 + 11.6329i 0.278758 + 0.595193i
\(383\) −6.11960 −0.312697 −0.156348 0.987702i \(-0.549972\pi\)
−0.156348 + 0.987702i \(0.549972\pi\)
\(384\) −17.1112 + 21.8398i −0.873203 + 1.11451i
\(385\) 20.3012 1.03465
\(386\) 14.2799 + 30.4900i 0.726829 + 1.55190i
\(387\) 1.73547 + 1.15960i 0.0882189 + 0.0589460i
\(388\) 11.2272 + 9.35685i 0.569975 + 0.475022i
\(389\) 30.1172 + 5.99068i 1.52700 + 0.303740i 0.885959 0.463764i \(-0.153502\pi\)
0.641044 + 0.767504i \(0.278502\pi\)
\(390\) 3.53087 23.1988i 0.178793 1.17472i
\(391\) 0.376176 0.908170i 0.0190241 0.0459281i
\(392\) −0.0103594 0.0177366i −0.000523229 0.000895834i
\(393\) −7.06722 17.0618i −0.356494 0.860653i
\(394\) 2.68280 + 10.8847i 0.135157 + 0.548363i
\(395\) −5.78872 8.66343i −0.291262 0.435905i
\(396\) 8.34107 + 28.2642i 0.419155 + 1.42033i
\(397\) 28.0202 5.57357i 1.40630 0.279730i 0.567140 0.823621i \(-0.308050\pi\)
0.839155 + 0.543892i \(0.183050\pi\)
\(398\) 13.4297 0.608890i 0.673171 0.0305209i
\(399\) −30.7656 30.7656i −1.54021 1.54021i
\(400\) −2.13198 + 9.93112i −0.106599 + 0.496556i
\(401\) 3.48263 3.48263i 0.173914 0.173914i −0.614782 0.788697i \(-0.710756\pi\)
0.788697 + 0.614782i \(0.210756\pi\)
\(402\) 19.4528 21.3006i 0.970220 1.06238i
\(403\) 0.896640 + 4.50771i 0.0446648 + 0.224545i
\(404\) −17.3729 21.4983i −0.864336 1.06958i
\(405\) −11.6842 + 7.80716i −0.580595 + 0.387941i
\(406\) −5.83869 + 9.65830i −0.289769 + 0.479333i
\(407\) −49.4343 + 20.4764i −2.45037 + 1.01498i
\(408\) −2.23508 0.135221i −0.110653 0.00669442i
\(409\) 18.5077 + 7.66613i 0.915145 + 0.379065i 0.790024 0.613076i \(-0.210068\pi\)
0.125121 + 0.992141i \(0.460068\pi\)
\(410\) −3.66623 4.98259i −0.181062 0.246073i
\(411\) 3.15059 15.8391i 0.155407 0.781285i
\(412\) 17.0397 8.94299i 0.839487 0.440589i
\(413\) 12.9906 19.4419i 0.639228 0.956672i
\(414\) 4.41840 12.2030i 0.217152 0.599745i
\(415\) 6.46396i 0.317303i
\(416\) −16.7251 + 17.7667i −0.820013 + 0.871083i
\(417\) 10.4377i 0.511138i
\(418\) −43.5732 15.7768i −2.13124 0.771667i
\(419\) −17.7369 + 26.5451i −0.866503 + 1.29681i 0.0872386 + 0.996187i \(0.472196\pi\)
−0.953742 + 0.300626i \(0.902804\pi\)
\(420\) −6.05906 + 19.4437i −0.295652 + 0.948758i
\(421\) −4.00504 + 20.1347i −0.195194 + 0.981304i 0.751638 + 0.659576i \(0.229264\pi\)
−0.946832 + 0.321729i \(0.895736\pi\)
\(422\) −11.3403 + 8.34430i −0.552038 + 0.406194i
\(423\) 10.2982 + 4.26564i 0.500714 + 0.207403i
\(424\) 4.32500 + 12.5338i 0.210040 + 0.608694i
\(425\) −0.757362 + 0.313710i −0.0367375 + 0.0152172i
\(426\) −4.70169 2.84229i −0.227798 0.137710i
\(427\) 16.5071 11.0297i 0.798836 0.533765i
\(428\) 1.01014 9.51803i 0.0488271 0.460071i
\(429\) 10.0892 + 50.7218i 0.487111 + 2.44887i
\(430\) 1.13446 + 1.03605i 0.0547087 + 0.0499630i
\(431\) 27.4402 27.4402i 1.32175 1.32175i 0.409388 0.912360i \(-0.365742\pi\)
0.912360 0.409388i \(-0.134258\pi\)
\(432\) −0.135491 0.00204846i −0.00651881 9.85564e-5i
\(433\) 5.45442 + 5.45442i 0.262123 + 0.262123i 0.825916 0.563793i \(-0.190659\pi\)
−0.563793 + 0.825916i \(0.690659\pi\)
\(434\) −0.180665 3.98476i −0.00867221 0.191275i
\(435\) 11.3743 2.26249i 0.545355 0.108478i
\(436\) −11.3985 6.20388i −0.545891 0.297112i
\(437\) 11.3385 + 16.9693i 0.542394 + 0.811751i
\(438\) 12.0446 2.96869i 0.575515 0.141850i
\(439\) −8.42495 20.3396i −0.402101 0.970757i −0.987155 0.159763i \(-0.948927\pi\)
0.585055 0.810994i \(-0.301073\pi\)
\(440\) 2.93935 + 21.4916i 0.140128 + 1.02457i
\(441\) 0.00837565 0.0202206i 0.000398840 0.000962886i
\(442\) −1.94685 0.296311i −0.0926020 0.0140941i
\(443\) −28.7291 5.71458i −1.36496 0.271508i −0.542370 0.840139i \(-0.682473\pi\)
−0.822592 + 0.568632i \(0.807473\pi\)
\(444\) −4.85742 53.4576i −0.230523 2.53699i
\(445\) 14.5881 + 9.74743i 0.691540 + 0.462072i
\(446\) 15.6669 7.33754i 0.741847 0.347443i
\(447\) 7.73980 0.366080
\(448\) 16.6704 13.0599i 0.787604 0.617022i
\(449\) −6.13112 −0.289345 −0.144673 0.989480i \(-0.546213\pi\)
−0.144673 + 0.989480i \(0.546213\pi\)
\(450\) −9.80142 + 4.59048i −0.462044 + 0.216397i
\(451\) 11.3356 + 7.57419i 0.533772 + 0.356655i
\(452\) −29.0927 + 2.64350i −1.36841 + 0.124340i
\(453\) −41.0873 8.17277i −1.93045 0.383990i
\(454\) −24.9254 3.79367i −1.16981 0.178046i
\(455\) −6.85428 + 16.5477i −0.321334 + 0.775768i
\(456\) 28.1152 37.0241i 1.31661 1.73381i
\(457\) −6.01802 14.5288i −0.281511 0.679628i 0.718360 0.695672i \(-0.244893\pi\)
−0.999871 + 0.0160431i \(0.994893\pi\)
\(458\) 22.9353 5.65297i 1.07170 0.264146i
\(459\) −0.00607582 0.00909311i −0.000283595 0.000424430i
\(460\) 4.56681 8.39073i 0.212929 0.391220i
\(461\) 8.71608 1.73374i 0.405949 0.0807482i 0.0121074 0.999927i \(-0.496146\pi\)
0.393841 + 0.919179i \(0.371146\pi\)
\(462\) −2.03289 44.8375i −0.0945784 2.08603i
\(463\) 28.3923 + 28.3923i 1.31950 + 1.31950i 0.914171 + 0.405329i \(0.132843\pi\)
0.405329 + 0.914171i \(0.367157\pi\)
\(464\) −11.0700 4.78265i −0.513911 0.222029i
\(465\) −2.89831 + 2.89831i −0.134406 + 0.134406i
\(466\) 10.8573 + 9.91544i 0.502953 + 0.459324i
\(467\) −1.97602 9.93412i −0.0914392 0.459696i −0.999192 0.0401906i \(-0.987204\pi\)
0.907753 0.419505i \(-0.137796\pi\)
\(468\) −25.8546 2.74393i −1.19513 0.126838i
\(469\) −18.3073 + 12.2326i −0.845355 + 0.564848i
\(470\) 7.02151 + 4.24468i 0.323878 + 0.195793i
\(471\) −7.46878 + 3.09367i −0.344143 + 0.142549i
\(472\) 22.4627 + 10.9374i 1.03393 + 0.503436i
\(473\) −3.12819 1.29574i −0.143834 0.0595780i
\(474\) −18.5545 + 13.6525i −0.852235 + 0.627082i
\(475\) 3.32039 16.6927i 0.152350 0.765915i
\(476\) 1.63172 + 0.508478i 0.0747899 + 0.0233060i
\(477\) −7.84913 + 11.7471i −0.359387 + 0.537861i
\(478\) −27.7743 10.0564i −1.27037 0.459968i
\(479\) 35.2640i 1.61125i 0.592424 + 0.805627i \(0.298171\pi\)
−0.592424 + 0.805627i \(0.701829\pi\)
\(480\) −21.4611 3.59915i −0.979561 0.164278i
\(481\) 47.2077i 2.15249i
\(482\) 4.82009 13.3124i 0.219549 0.606365i
\(483\) −10.9818 + 16.4354i −0.499689 + 0.747837i
\(484\) −11.9921 22.8495i −0.545098 1.03861i
\(485\) −2.23631 + 11.2427i −0.101546 + 0.510505i
\(486\) 18.4982 + 25.1399i 0.839093 + 1.14037i
\(487\) 13.0372 + 5.40020i 0.590774 + 0.244707i 0.657984 0.753032i \(-0.271410\pi\)
−0.0672097 + 0.997739i \(0.521410\pi\)
\(488\) 14.0665 + 15.8781i 0.636759 + 0.718767i
\(489\) 8.06276 3.33970i 0.364611 0.151027i
\(490\) 0.00833449 0.0137868i 0.000376514 0.000622825i
\(491\) 1.51681 1.01350i 0.0684528 0.0457387i −0.520873 0.853634i \(-0.674393\pi\)
0.589326 + 0.807896i \(0.299393\pi\)
\(492\) −10.6375 + 8.59621i −0.479574 + 0.387547i
\(493\) −0.189868 0.954531i −0.00855123 0.0429899i
\(494\) 27.5714 30.1902i 1.24049 1.35832i
\(495\) −16.3437 + 16.3437i −0.734593 + 0.734593i
\(496\) 4.19226 0.768200i 0.188238 0.0344932i
\(497\) 2.96525 + 2.96525i 0.133010 + 0.133010i
\(498\) −14.2764 + 0.647276i −0.639739 + 0.0290051i
\(499\) 6.00903 1.19527i 0.269001 0.0535076i −0.0587467 0.998273i \(-0.518710\pi\)
0.327748 + 0.944765i \(0.393710\pi\)
\(500\) −22.6859 + 6.69486i −1.01454 + 0.299403i
\(501\) −17.3265 25.9309i −0.774091 1.15851i
\(502\) 6.05443 + 24.5642i 0.270223 + 1.09635i
\(503\) 0.252675 + 0.610011i 0.0112662 + 0.0271990i 0.929413 0.369042i \(-0.120314\pi\)
−0.918146 + 0.396241i \(0.870314\pi\)
\(504\) 21.8252 + 5.73067i 0.972172 + 0.255264i
\(505\) 8.29623 20.0289i 0.369177 0.891273i
\(506\) −3.16787 + 20.8137i −0.140829 + 0.925284i
\(507\) −13.4828 2.68189i −0.598791 0.119107i
\(508\) −3.90069 + 4.68040i −0.173065 + 0.207659i
\(509\) 0.523675 + 0.349909i 0.0232115 + 0.0155094i 0.567122 0.823634i \(-0.308057\pi\)
−0.543910 + 0.839143i \(0.683057\pi\)
\(510\) −0.744880 1.59044i −0.0329838 0.0704259i
\(511\) −9.46857 −0.418865
\(512\) 16.2393 + 15.7570i 0.717684 + 0.696369i
\(513\) 0.227055 0.0100247
\(514\) −16.1408 34.4632i −0.711940 1.52011i
\(515\) 12.5498 + 8.38549i 0.553009 + 0.369509i
\(516\) 2.17464 2.60933i 0.0957332 0.114870i
\(517\) −17.7348 3.52766i −0.779974 0.155146i
\(518\) −6.16486 + 40.5048i −0.270868 + 1.77968i
\(519\) 0.576450 1.39167i 0.0253033 0.0610877i
\(520\) −18.5104 4.86030i −0.811735 0.213138i
\(521\) 0.0504944 + 0.121904i 0.00221220 + 0.00534072i 0.924982 0.380011i \(-0.124080\pi\)
−0.922770 + 0.385352i \(0.874080\pi\)
\(522\) −3.07501 12.4760i −0.134589 0.546059i
\(523\) 2.15403 + 3.22374i 0.0941892 + 0.140964i 0.875572 0.483088i \(-0.160485\pi\)
−0.781382 + 0.624053i \(0.785485\pi\)
\(524\) −14.4455 + 4.26301i −0.631053 + 0.186231i
\(525\) 16.1676 3.21593i 0.705611 0.140355i
\(526\) −5.03478 + 0.228272i −0.219527 + 0.00995313i
\(527\) 0.243227 + 0.243227i 0.0105951 + 0.0105951i
\(528\) 47.1722 8.64396i 2.05291 0.376180i
\(529\) −9.70721 + 9.70721i −0.422053 + 0.422053i
\(530\) −7.01285 + 7.67896i −0.304619 + 0.333553i
\(531\) 5.19361 + 26.1101i 0.225384 + 1.13308i
\(532\) −27.5991 + 22.3030i −1.19657 + 0.966958i
\(533\) −10.0010 + 6.68246i −0.433192 + 0.289450i
\(534\) 20.0675 33.1954i 0.868404 1.43650i
\(535\) 6.93569 2.87286i 0.299856 0.124204i
\(536\) −15.6005 17.6097i −0.673839 0.760623i
\(537\) −41.1960 17.0639i −1.77774 0.736363i
\(538\) 17.0575 + 23.1819i 0.735400 + 0.999444i
\(539\) −0.00692661 + 0.0348224i −0.000298350 + 0.00149991i
\(540\) −0.0493905 0.0941074i −0.00212543 0.00404974i
\(541\) −6.56680 + 9.82791i −0.282329 + 0.422535i −0.945346 0.326070i \(-0.894276\pi\)
0.663017 + 0.748604i \(0.269276\pi\)
\(542\) −1.24902 + 3.44961i −0.0536498 + 0.148173i
\(543\) 57.8873i 2.48418i
\(544\) −0.302041 + 1.80102i −0.0129499 + 0.0772181i
\(545\) 10.1785i 0.436001i
\(546\) 37.2338 + 13.4814i 1.59346 + 0.576951i
\(547\) 3.90437 5.84330i 0.166939 0.249841i −0.738563 0.674185i \(-0.764495\pi\)
0.905501 + 0.424343i \(0.139495\pi\)
\(548\) −12.5744 3.91843i −0.537151 0.167387i
\(549\) −4.40964 + 22.1688i −0.188199 + 0.946140i
\(550\) 14.1417 10.4055i 0.603002 0.443694i
\(551\) 18.6680 + 7.73252i 0.795282 + 0.329417i
\(552\) −18.9891 9.24609i −0.808231 0.393540i
\(553\) 16.2446 6.72872i 0.690789 0.286134i
\(554\) −30.4931 18.4339i −1.29553 0.783181i
\(555\) 35.0055 23.3900i 1.48590 0.992848i
\(556\) 8.46504 + 0.898390i 0.358998 + 0.0381002i
\(557\) −8.38778 42.1682i −0.355402 1.78672i −0.582477 0.812847i \(-0.697916\pi\)
0.227076 0.973877i \(-0.427084\pi\)
\(558\) 3.35341 + 3.06252i 0.141961 + 0.129647i
\(559\) 2.11233 2.11233i 0.0893422 0.0893422i
\(560\) 15.2474 + 6.58747i 0.644322 + 0.278371i
\(561\) 2.73684 + 2.73684i 0.115549 + 0.115549i
\(562\) −0.822023 18.1306i −0.0346749 0.764793i
\(563\) −10.4779 + 2.08419i −0.441592 + 0.0878381i −0.410879 0.911690i \(-0.634778\pi\)
−0.0307136 + 0.999528i \(0.509778\pi\)
\(564\) 8.67174 15.9328i 0.365146 0.670893i
\(565\) −12.7293 19.0507i −0.535525 0.801469i
\(566\) 15.5116 3.82321i 0.652001 0.160701i
\(567\) −9.07492 21.9088i −0.381111 0.920083i
\(568\) −2.70979 + 3.56845i −0.113700 + 0.149729i
\(569\) −9.56257 + 23.0861i −0.400884 + 0.967819i 0.586568 + 0.809900i \(0.300479\pi\)
−0.987452 + 0.157919i \(0.949521\pi\)
\(570\) 36.0474 + 5.48644i 1.50986 + 0.229802i
\(571\) 20.9430 + 4.16583i 0.876439 + 0.174335i 0.612753 0.790274i \(-0.290062\pi\)
0.263685 + 0.964609i \(0.415062\pi\)
\(572\) 42.0040 3.81668i 1.75627 0.159584i
\(573\) 18.5208 + 12.3752i 0.773718 + 0.516982i
\(574\) 9.45365 4.42760i 0.394588 0.184804i
\(575\) −7.73227 −0.322458
\(576\) −2.90670 + 23.9347i −0.121112 + 0.997278i
\(577\) 13.5096 0.562413 0.281207 0.959647i \(-0.409265\pi\)
0.281207 + 0.959647i \(0.409265\pi\)
\(578\) 21.6386 10.1344i 0.900047 0.421535i
\(579\) 48.5431 + 32.4355i 2.01738 + 1.34797i
\(580\) −0.855885 9.41932i −0.0355387 0.391116i
\(581\) 10.6985 + 2.12806i 0.443847 + 0.0882866i
\(582\) 25.0547 + 3.81334i 1.03855 + 0.158068i
\(583\) 8.77059 21.1741i 0.363241 0.876941i
\(584\) −1.37092 10.0238i −0.0567292 0.414786i
\(585\) −7.80377 18.8400i −0.322646 0.778937i
\(586\) −25.0447 + 6.17286i −1.03459 + 0.254999i
\(587\) 7.71852 + 11.5516i 0.318577 + 0.476785i 0.955851 0.293853i \(-0.0949377\pi\)
−0.637273 + 0.770638i \(0.719938\pi\)
\(588\) −0.0312843 0.0170271i −0.00129014 0.000702185i
\(589\) −7.00431 + 1.39324i −0.288607 + 0.0574076i
\(590\) 0.887532 + 19.5755i 0.0365391 + 0.805909i
\(591\) 13.7457 + 13.7457i 0.565423 + 0.565423i
\(592\) −43.7724 0.661785i −1.79903 0.0271992i
\(593\) 3.80843 3.80843i 0.156393 0.156393i −0.624573 0.780966i \(-0.714727\pi\)
0.780966 + 0.624573i \(0.214727\pi\)
\(594\) 0.172955 + 0.157952i 0.00709644 + 0.00648086i
\(595\) 0.261518 + 1.31474i 0.0107212 + 0.0538991i
\(596\) 0.666174 6.27700i 0.0272876 0.257116i
\(597\) 19.3829 12.9512i 0.793290 0.530059i
\(598\) −15.8959 9.60948i −0.650032 0.392961i
\(599\) 9.18975 3.80652i 0.375483 0.155530i −0.186957 0.982368i \(-0.559863\pi\)
0.562440 + 0.826838i \(0.309863\pi\)
\(600\) 5.74535 + 16.6500i 0.234553 + 0.679732i
\(601\) 28.7287 + 11.8998i 1.17187 + 0.485404i 0.881810 0.471605i \(-0.156325\pi\)
0.290059 + 0.957009i \(0.406325\pi\)
\(602\) −2.08826 + 1.53656i −0.0851110 + 0.0626254i
\(603\) 4.89054 24.5864i 0.199158 1.00124i
\(604\) −10.1646 + 32.6185i −0.413591 + 1.32723i
\(605\) 11.2446 16.8287i 0.457157 0.684183i
\(606\) −45.0667 16.3175i −1.83071 0.662853i
\(607\) 38.5851i 1.56612i −0.621946 0.783060i \(-0.713657\pi\)
0.621946 0.783060i \(-0.286343\pi\)
\(608\) −27.6067 25.9882i −1.11960 1.05396i
\(609\) 19.5704i 0.793031i
\(610\) −5.66421 + 15.6438i −0.229337 + 0.633398i
\(611\) 8.86320 13.2647i 0.358567 0.536633i
\(612\) −1.72299 + 0.904277i −0.0696476 + 0.0365532i
\(613\) −6.11185 + 30.7263i −0.246855 + 1.24102i 0.636114 + 0.771595i \(0.280541\pi\)
−0.882970 + 0.469430i \(0.844459\pi\)
\(614\) −5.30129 7.20471i −0.213942 0.290758i
\(615\) −9.91038 4.10501i −0.399625 0.165530i
\(616\) −36.5383 2.21054i −1.47217 0.0890653i
\(617\) 29.6969 12.3009i 1.19555 0.495214i 0.305992 0.952034i \(-0.401012\pi\)
0.889559 + 0.456820i \(0.151012\pi\)
\(618\) 17.2636 28.5572i 0.694443 1.14874i
\(619\) −29.9290 + 19.9979i −1.20295 + 0.803784i −0.985064 0.172191i \(-0.944915\pi\)
−0.217884 + 0.975975i \(0.569915\pi\)
\(620\) 2.10108 + 2.60000i 0.0843813 + 0.104419i
\(621\) −0.0201243 0.101172i −0.000807560 0.00405988i
\(622\) 17.0099 18.6256i 0.682036 0.746819i
\(623\) −20.9356 + 20.9356i −0.838766 + 0.838766i
\(624\) −8.88095 + 41.3689i −0.355522 + 1.65608i
\(625\) −4.14010 4.14010i −0.165604 0.165604i
\(626\) 9.96480 0.451794i 0.398274 0.0180573i
\(627\) −78.8140 + 15.6771i −3.14753 + 0.626083i
\(628\) 1.86613 + 6.32349i 0.0744667 + 0.252335i
\(629\) −1.96289 2.93767i −0.0782655 0.117133i
\(630\) 4.23541 + 17.1840i 0.168743 + 0.684627i
\(631\) −15.0722 36.3874i −0.600013 1.44856i −0.873567 0.486703i \(-0.838199\pi\)
0.273554 0.961857i \(-0.411801\pi\)
\(632\) 9.47525 + 16.2228i 0.376905 + 0.645310i
\(633\) −9.34296 + 22.5559i −0.371349 + 0.896516i
\(634\) −7.14092 + 46.9178i −0.283602 + 1.86334i
\(635\) −4.68686 0.932275i −0.185992 0.0369962i
\(636\) 17.6621 + 14.7197i 0.700347 + 0.583674i
\(637\) −0.0260454 0.0174030i −0.00103196 0.000689532i
\(638\) 8.84081 + 18.8766i 0.350011 + 0.747331i
\(639\) −4.77440 −0.188872
\(640\) −4.76611 + 17.0953i −0.188397 + 0.675749i
\(641\) −26.2384 −1.03636 −0.518178 0.855273i \(-0.673390\pi\)
−0.518178 + 0.855273i \(0.673390\pi\)
\(642\) −7.03953 15.0306i −0.277828 0.593209i
\(643\) −38.6415 25.8194i −1.52387 1.01822i −0.984345 0.176251i \(-0.943603\pi\)
−0.539527 0.841968i \(-0.681397\pi\)
\(644\) 12.3840 + 10.3209i 0.487997 + 0.406700i
\(645\) 2.61293 + 0.519745i 0.102884 + 0.0204649i
\(646\) 0.460423 3.02511i 0.0181151 0.119021i
\(647\) −12.2347 + 29.5371i −0.480994 + 1.16122i 0.478143 + 0.878282i \(0.341310\pi\)
−0.959137 + 0.282941i \(0.908690\pi\)
\(648\) 21.8795 12.7791i 0.859508 0.502012i
\(649\) −16.5265 39.8984i −0.648721 1.56615i
\(650\) 3.70702 + 15.0402i 0.145401 + 0.589925i
\(651\) −3.84280 5.75115i −0.150611 0.225406i
\(652\) −2.01454 6.82638i −0.0788955 0.267342i
\(653\) 7.27084 1.44626i 0.284530 0.0565965i −0.0507621 0.998711i \(-0.516165\pi\)
0.335292 + 0.942114i \(0.391165\pi\)
\(654\) −22.4804 + 1.01924i −0.879054 + 0.0398554i
\(655\) −8.35304 8.35304i −0.326380 0.326380i
\(656\) 6.05598 + 9.36692i 0.236446 + 0.365717i
\(657\) 7.62275 7.62275i 0.297392 0.297392i
\(658\) −9.33697 + 10.2238i −0.363993 + 0.398567i
\(659\) −3.26994 16.4391i −0.127379 0.640376i −0.990738 0.135786i \(-0.956644\pi\)
0.863359 0.504589i \(-0.168356\pi\)
\(660\) 23.6418 + 29.2558i 0.920256 + 1.13878i
\(661\) 33.5942 22.4469i 1.30666 0.873084i 0.309690 0.950838i \(-0.399775\pi\)
0.996973 + 0.0777539i \(0.0247748\pi\)
\(662\) −8.71157 + 14.4106i −0.338585 + 0.560083i
\(663\) −3.15486 + 1.30679i −0.122525 + 0.0507513i
\(664\) −0.703841 + 11.6339i −0.0273143 + 0.451482i
\(665\) −25.7126 10.6505i −0.997093 0.413010i
\(666\) −27.6456 37.5718i −1.07125 1.45588i
\(667\) 1.79090 9.00345i 0.0693438 0.348615i
\(668\) −22.5214 + 11.8199i −0.871379 + 0.457327i
\(669\) 16.6665 24.9432i 0.644365 0.964360i
\(670\) 6.28193 17.3498i 0.242692 0.670282i
\(671\) 36.6669i 1.41551i
\(672\) 13.0223 34.3353i 0.502347 1.32451i
\(673\) 23.6438i 0.911401i 0.890133 + 0.455701i \(0.150611\pi\)
−0.890133 + 0.455701i \(0.849389\pi\)
\(674\) 40.8586 + 14.7939i 1.57382 + 0.569839i
\(675\) −0.0477926 + 0.0715267i −0.00183954 + 0.00275306i
\(676\) −3.33550 + 10.7037i −0.128289 + 0.411682i
\(677\) −4.38350 + 22.0374i −0.168472 + 0.846964i 0.800412 + 0.599450i \(0.204614\pi\)
−0.968884 + 0.247515i \(0.920386\pi\)
\(678\) −40.8009 + 30.0217i −1.56695 + 1.15297i
\(679\) −17.8715 7.40262i −0.685845 0.284086i
\(680\) −1.35397 + 0.467209i −0.0519222 + 0.0179167i
\(681\) −40.3916 + 16.7307i −1.54781 + 0.641123i
\(682\) −6.30462 3.81131i −0.241417 0.145943i
\(683\) −18.4573 + 12.3328i −0.706251 + 0.471902i −0.856102 0.516807i \(-0.827121\pi\)
0.149851 + 0.988709i \(0.452121\pi\)
\(684\) 4.26365 40.1741i 0.163025 1.53609i
\(685\) −2.01531 10.1317i −0.0770011 0.387111i
\(686\) −19.3300 17.6533i −0.738024 0.674004i
\(687\) 28.9639 28.9639i 1.10504 1.10504i
\(688\) −1.92901 1.98823i −0.0735427 0.0758005i
\(689\) 14.2980 + 14.2980i 0.544709 + 0.544709i
\(690\) −0.750285 16.5483i −0.0285629 0.629985i
\(691\) 31.1924 6.20456i 1.18662 0.236033i 0.437962 0.898993i \(-0.355700\pi\)
0.748654 + 0.662961i \(0.230700\pi\)
\(692\) −1.07904 0.587286i −0.0410188 0.0223253i
\(693\) −21.6697 32.4310i −0.823163 1.23195i
\(694\) 43.4604 10.7119i 1.64973 0.406617i
\(695\) 2.55503 + 6.16839i 0.0969179 + 0.233980i
\(696\) −20.7179 + 2.83353i −0.785309 + 0.107405i
\(697\) −0.344493 + 0.831680i −0.0130486 + 0.0315021i
\(698\) 8.25717 + 1.25675i 0.312538 + 0.0475686i
\(699\) 25.0068 + 4.97416i 0.945844 + 0.188140i
\(700\) −1.21657 13.3888i −0.0459819 0.506048i
\(701\) −0.645283 0.431165i −0.0243720 0.0162849i 0.543325 0.839523i \(-0.317165\pi\)
−0.567697 + 0.823238i \(0.692165\pi\)
\(702\) −0.187143 + 0.0876481i −0.00706326 + 0.00330806i
\(703\) 73.3537 2.76659
\(704\) −2.95011 39.0008i −0.111186 1.46990i
\(705\) 14.2275 0.535839
\(706\) −0.678076 + 0.317576i −0.0255197 + 0.0119521i
\(707\) 30.4184 + 20.3249i 1.14400 + 0.764397i
\(708\) 43.1456 3.92042i 1.62151 0.147338i
\(709\) 37.8179 + 7.52244i 1.42028 + 0.282511i 0.844703 0.535236i \(-0.179777\pi\)
0.575578 + 0.817747i \(0.304777\pi\)
\(710\) −3.47432 0.528794i −0.130389 0.0198453i
\(711\) −7.66081 + 18.4948i −0.287303 + 0.693610i
\(712\) −25.1943 19.1320i −0.944198 0.717001i
\(713\) 1.24161 + 2.99751i 0.0464986 + 0.112257i
\(714\) 2.87756 0.709244i 0.107690 0.0265428i
\(715\) 18.3785 + 27.5054i 0.687317 + 1.02864i
\(716\) −17.3847 + 31.9414i −0.649697 + 1.19370i
\(717\) −50.2374 + 9.99283i −1.87615 + 0.373189i
\(718\) 1.41471 + 31.2030i 0.0527966 + 1.16449i
\(719\) −23.5486 23.5486i −0.878215 0.878215i 0.115135 0.993350i \(-0.463270\pi\)
−0.993350 + 0.115135i \(0.963270\pi\)
\(720\) −17.5784 + 6.97178i −0.655107 + 0.259823i
\(721\) −18.0104 + 18.0104i −0.670742 + 0.670742i
\(722\) 27.0700 + 24.7218i 1.00744 + 0.920049i
\(723\) −4.78964 24.0792i −0.178129 0.895514i
\(724\) 46.9468 + 4.98243i 1.74476 + 0.185171i
\(725\) −6.36529 + 4.25315i −0.236401 + 0.157958i
\(726\) −38.2940 23.1497i −1.42122 0.859165i
\(727\) −30.1679 + 12.4960i −1.11887 + 0.463449i −0.863982 0.503522i \(-0.832037\pi\)
−0.254884 + 0.966972i \(0.582037\pi\)
\(728\) 14.1382 29.0364i 0.523998 1.07616i
\(729\) 25.1739 + 10.4274i 0.932368 + 0.386200i
\(730\) 6.39132 4.70279i 0.236553 0.174058i
\(731\) 0.0436171 0.219278i 0.00161324 0.00811028i
\(732\) 35.1182 + 10.9435i 1.29800 + 0.404484i
\(733\) −8.07259 + 12.0815i −0.298168 + 0.446240i −0.950058 0.312074i \(-0.898976\pi\)
0.651890 + 0.758313i \(0.273976\pi\)
\(734\) 27.3555 + 9.90475i 1.00971 + 0.365591i
\(735\) 0.0279359i 0.00103043i
\(736\) −9.13303 + 14.6044i −0.336648 + 0.538327i
\(737\) 40.6657i 1.49794i
\(738\) −4.04626 + 11.1752i −0.148945 + 0.411365i
\(739\) −0.511163 + 0.765010i −0.0188034 + 0.0281414i −0.840752 0.541420i \(-0.817887\pi\)
0.821949 + 0.569561i \(0.192887\pi\)
\(740\) −15.9564 30.4028i −0.586568 1.11763i
\(741\) 13.8314 69.5351i 0.508109 2.55443i
\(742\) −10.4007 14.1350i −0.381820 0.518912i
\(743\) 1.25045 + 0.517953i 0.0458745 + 0.0190019i 0.405503 0.914094i \(-0.367096\pi\)
−0.359628 + 0.933096i \(0.617096\pi\)
\(744\) 5.53199 4.90081i 0.202813 0.179673i
\(745\) 4.57399 1.89461i 0.167578 0.0694131i
\(746\) −14.2523 + 23.5760i −0.521815 + 0.863180i
\(747\) −10.3261 + 6.89967i −0.377812 + 0.252446i
\(748\) 2.45515 1.98402i 0.0897692 0.0725431i
\(749\) 2.47149 + 12.4250i 0.0903063 + 0.454001i
\(750\) −27.6590 + 30.2862i −1.00997 + 1.10590i
\(751\) −0.132681 + 0.132681i −0.00484161 + 0.00484161i −0.709523 0.704682i \(-0.751090\pi\)
0.704682 + 0.709523i \(0.251090\pi\)
\(752\) −12.1752 8.40417i −0.443983 0.306469i
\(753\) 31.0208 + 31.0208i 1.13046 + 1.13046i
\(754\) −18.3714 + 0.832940i −0.669046 + 0.0303339i
\(755\) −26.2820 + 5.22781i −0.956499 + 0.190259i
\(756\) 0.172017 0.0507641i 0.00625619 0.00184627i
\(757\) 13.3592 + 19.9934i 0.485547 + 0.726673i 0.990656 0.136383i \(-0.0435476\pi\)
−0.505109 + 0.863056i \(0.668548\pi\)
\(758\) −7.25124 29.4199i −0.263377 1.06858i
\(759\) 13.9708 + 33.7286i 0.507110 + 1.22427i
\(760\) 7.55218 28.7624i 0.273946 1.04332i
\(761\) −5.79279 + 13.9850i −0.209988 + 0.506957i −0.993421 0.114520i \(-0.963467\pi\)
0.783433 + 0.621477i \(0.213467\pi\)
\(762\) −1.58971 + 10.4448i −0.0575890 + 0.378375i
\(763\) 16.8464 + 3.35097i 0.609882 + 0.121313i
\(764\) 11.6305 13.9553i 0.420775 0.504885i
\(765\) −1.26898 0.847905i −0.0458801 0.0306561i
\(766\) 3.67065 + 7.83743i 0.132626 + 0.283178i
\(767\) 38.1014 1.37576
\(768\) 38.2340 + 8.81461i 1.37965 + 0.318070i
\(769\) −19.9780 −0.720424 −0.360212 0.932870i \(-0.617296\pi\)
−0.360212 + 0.932870i \(0.617296\pi\)
\(770\) −12.1770 26.0000i −0.438830 0.936974i
\(771\) −54.8690 36.6623i −1.97606 1.32036i
\(772\) 30.4835 36.5769i 1.09712 1.31643i
\(773\) −22.0912