Properties

Label 171.2.g.c.106.8
Level $171$
Weight $2$
Character 171.106
Analytic conductor $1.365$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 106.8
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.185445 - 0.321199i) q^{2} +(-0.894876 - 1.48297i) q^{3} +(0.931221 - 1.61292i) q^{4} -3.55521 q^{5} +(-0.310379 + 0.562442i) q^{6} +(-0.124876 + 0.216291i) q^{7} -1.43254 q^{8} +(-1.39839 + 2.65415i) q^{9} +O(q^{10})\) \(q+(-0.185445 - 0.321199i) q^{2} +(-0.894876 - 1.48297i) q^{3} +(0.931221 - 1.61292i) q^{4} -3.55521 q^{5} +(-0.310379 + 0.562442i) q^{6} +(-0.124876 + 0.216291i) q^{7} -1.43254 q^{8} +(-1.39839 + 2.65415i) q^{9} +(0.659294 + 1.14193i) q^{10} +(-0.815815 + 1.41303i) q^{11} +(-3.22524 + 0.0623929i) q^{12} +(0.662707 - 1.14784i) q^{13} +0.0926300 q^{14} +(3.18147 + 5.27227i) q^{15} +(-1.59679 - 2.76571i) q^{16} +(3.73000 - 6.46055i) q^{17} +(1.11183 - 0.0430334i) q^{18} +(-4.07660 - 1.54315i) q^{19} +(-3.31069 + 5.73428i) q^{20} +(0.432501 - 0.00836682i) q^{21} +0.605154 q^{22} +(2.24572 - 3.88969i) q^{23} +(1.28194 + 2.12441i) q^{24} +7.63952 q^{25} -0.491582 q^{26} +(5.18741 - 0.301355i) q^{27} +(0.232573 + 0.402829i) q^{28} -4.12725 q^{29} +(1.10346 - 1.99960i) q^{30} +(-4.32871 - 7.49755i) q^{31} +(-2.02477 + 3.50700i) q^{32} +(2.82554 - 0.0546606i) q^{33} -2.76683 q^{34} +(0.443959 - 0.768960i) q^{35} +(2.97872 + 4.72710i) q^{36} +3.10599 q^{37} +(0.260326 + 1.59557i) q^{38} +(-2.29526 + 0.0444022i) q^{39} +5.09297 q^{40} +5.54922 q^{41} +(-0.0828923 - 0.137367i) q^{42} +(5.02032 + 8.69544i) q^{43} +(1.51941 + 2.63169i) q^{44} +(4.97159 - 9.43605i) q^{45} -1.66582 q^{46} +3.36575 q^{47} +(-2.67254 + 4.84295i) q^{48} +(3.46881 + 6.00816i) q^{49} +(-1.41671 - 2.45381i) q^{50} +(-12.9187 + 0.249914i) q^{51} +(-1.23425 - 2.13779i) q^{52} +(0.254182 + 0.440256i) q^{53} +(-1.05877 - 1.61031i) q^{54} +(2.90039 - 5.02363i) q^{55} +(0.178889 - 0.309845i) q^{56} +(1.35962 + 7.42640i) q^{57} +(0.765376 + 1.32567i) q^{58} -10.4624 q^{59} +(11.4664 - 0.221820i) q^{60} +4.14100 q^{61} +(-1.60547 + 2.78076i) q^{62} +(-0.399442 - 0.633898i) q^{63} -4.88521 q^{64} +(-2.35606 + 4.08082i) q^{65} +(-0.541537 - 0.897424i) q^{66} +(0.399675 - 0.692257i) q^{67} +(-6.94690 - 12.0324i) q^{68} +(-7.77793 + 0.150466i) q^{69} -0.329319 q^{70} +(5.60051 - 9.70037i) q^{71} +(2.00325 - 3.80216i) q^{72} +(-1.84754 + 3.20004i) q^{73} +(-0.575989 - 0.997642i) q^{74} +(-6.83642 - 11.3292i) q^{75} +(-6.28519 + 5.13823i) q^{76} +(-0.203751 - 0.352907i) q^{77} +(0.439905 + 0.729000i) q^{78} +(-4.92764 - 8.53493i) q^{79} +(5.67691 + 9.83269i) q^{80} +(-5.08898 - 7.42309i) q^{81} +(-1.02907 - 1.78241i) q^{82} +(0.185251 - 0.320865i) q^{83} +(0.389259 - 0.705381i) q^{84} +(-13.2609 + 22.9686i) q^{85} +(1.86198 - 3.22504i) q^{86} +(3.69338 + 6.12059i) q^{87} +(1.16868 - 2.02422i) q^{88} +(4.01034 + 6.94611i) q^{89} +(-3.95281 + 0.152993i) q^{90} +(0.165512 + 0.286675i) q^{91} +(-4.18251 - 7.24433i) q^{92} +(-7.24498 + 13.1287i) q^{93} +(-0.624161 - 1.08108i) q^{94} +(14.4932 + 5.48621i) q^{95} +(7.01269 - 0.135662i) q^{96} +(-3.21577 - 5.56988i) q^{97} +(1.28654 - 2.22836i) q^{98} +(-2.60956 - 4.14127i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9} - 8 q^{10} + 7 q^{11} - 3 q^{12} - 4 q^{13} - 2 q^{14} + q^{15} - 11 q^{16} - 7 q^{17} + 6 q^{18} + 7 q^{19} - 3 q^{20} + 11 q^{21} + 16 q^{22} + 5 q^{23} + 27 q^{24} + 18 q^{25} - 4 q^{26} - 5 q^{27} - 10 q^{28} - 20 q^{29} - 5 q^{30} - 10 q^{31} + 17 q^{32} + 34 q^{33} + 26 q^{34} - 3 q^{35} - 16 q^{36} + 2 q^{37} + 38 q^{38} - 24 q^{40} - 12 q^{41} + 25 q^{42} + 7 q^{43} + 20 q^{44} - 35 q^{45} + 18 q^{47} - 33 q^{48} - 13 q^{49} + q^{50} - 28 q^{51} + 19 q^{52} + 16 q^{53} + 35 q^{54} + 15 q^{55} - 6 q^{56} + 6 q^{57} - 74 q^{59} + 50 q^{60} + 24 q^{61} + 54 q^{62} - 30 q^{63} - 64 q^{64} + 54 q^{65} + 4 q^{66} - 11 q^{67} - 2 q^{68} + 3 q^{69} - 48 q^{70} + 9 q^{71} - 10 q^{73} + 6 q^{74} - 76 q^{75} + 29 q^{76} + 46 q^{77} - 82 q^{78} - 8 q^{79} - 24 q^{80} + 26 q^{81} + 7 q^{82} + 3 q^{83} + 12 q^{84} - 27 q^{85} + 17 q^{86} - 9 q^{87} + 9 q^{88} + 30 q^{89} - 74 q^{90} - q^{91} - 17 q^{92} - 24 q^{93} - 18 q^{94} - 6 q^{95} - 5 q^{96} + 18 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.185445 0.321199i −0.131129 0.227122i 0.792983 0.609244i \(-0.208527\pi\)
−0.924112 + 0.382122i \(0.875194\pi\)
\(3\) −0.894876 1.48297i −0.516657 0.856193i
\(4\) 0.931221 1.61292i 0.465610 0.806461i
\(5\) −3.55521 −1.58994 −0.794969 0.606650i \(-0.792513\pi\)
−0.794969 + 0.606650i \(0.792513\pi\)
\(6\) −0.310379 + 0.562442i −0.126712 + 0.229616i
\(7\) −0.124876 + 0.216291i −0.0471985 + 0.0817503i −0.888660 0.458568i \(-0.848363\pi\)
0.841461 + 0.540318i \(0.181696\pi\)
\(8\) −1.43254 −0.506478
\(9\) −1.39839 + 2.65415i −0.466132 + 0.884715i
\(10\) 0.659294 + 1.14193i 0.208487 + 0.361110i
\(11\) −0.815815 + 1.41303i −0.245977 + 0.426045i −0.962406 0.271615i \(-0.912442\pi\)
0.716429 + 0.697660i \(0.245776\pi\)
\(12\) −3.22524 + 0.0623929i −0.931046 + 0.0180113i
\(13\) 0.662707 1.14784i 0.183802 0.318354i −0.759370 0.650659i \(-0.774493\pi\)
0.943172 + 0.332305i \(0.107826\pi\)
\(14\) 0.0926300 0.0247564
\(15\) 3.18147 + 5.27227i 0.821453 + 1.36129i
\(16\) −1.59679 2.76571i −0.399196 0.691428i
\(17\) 3.73000 6.46055i 0.904658 1.56691i 0.0832816 0.996526i \(-0.473460\pi\)
0.821376 0.570387i \(-0.193207\pi\)
\(18\) 1.11183 0.0430334i 0.262062 0.0101431i
\(19\) −4.07660 1.54315i −0.935237 0.354022i
\(20\) −3.31069 + 5.73428i −0.740292 + 1.28222i
\(21\) 0.432501 0.00836682i 0.0943794 0.00182579i
\(22\) 0.605154 0.129019
\(23\) 2.24572 3.88969i 0.468264 0.811057i −0.531078 0.847323i \(-0.678213\pi\)
0.999342 + 0.0362656i \(0.0115462\pi\)
\(24\) 1.28194 + 2.12441i 0.261675 + 0.433643i
\(25\) 7.63952 1.52790
\(26\) −0.491582 −0.0964071
\(27\) 5.18741 0.301355i 0.998317 0.0579958i
\(28\) 0.232573 + 0.402829i 0.0439522 + 0.0761275i
\(29\) −4.12725 −0.766411 −0.383206 0.923663i \(-0.625180\pi\)
−0.383206 + 0.923663i \(0.625180\pi\)
\(30\) 1.10346 1.99960i 0.201464 0.365075i
\(31\) −4.32871 7.49755i −0.777460 1.34660i −0.933401 0.358834i \(-0.883174\pi\)
0.155941 0.987766i \(-0.450159\pi\)
\(32\) −2.02477 + 3.50700i −0.357932 + 0.619956i
\(33\) 2.82554 0.0546606i 0.491863 0.00951519i
\(34\) −2.76683 −0.474508
\(35\) 0.443959 0.768960i 0.0750428 0.129978i
\(36\) 2.97872 + 4.72710i 0.496453 + 0.787849i
\(37\) 3.10599 0.510622 0.255311 0.966859i \(-0.417822\pi\)
0.255311 + 0.966859i \(0.417822\pi\)
\(38\) 0.260326 + 1.59557i 0.0422305 + 0.258836i
\(39\) −2.29526 + 0.0444022i −0.367535 + 0.00711004i
\(40\) 5.09297 0.805269
\(41\) 5.54922 0.866643 0.433322 0.901239i \(-0.357341\pi\)
0.433322 + 0.901239i \(0.357341\pi\)
\(42\) −0.0828923 0.137367i −0.0127906 0.0211962i
\(43\) 5.02032 + 8.69544i 0.765591 + 1.32604i 0.939934 + 0.341358i \(0.110887\pi\)
−0.174342 + 0.984685i \(0.555780\pi\)
\(44\) 1.51941 + 2.63169i 0.229059 + 0.396742i
\(45\) 4.97159 9.43605i 0.741121 1.40664i
\(46\) −1.66582 −0.245612
\(47\) 3.36575 0.490946 0.245473 0.969403i \(-0.421057\pi\)
0.245473 + 0.969403i \(0.421057\pi\)
\(48\) −2.67254 + 4.84295i −0.385748 + 0.699020i
\(49\) 3.46881 + 6.00816i 0.495545 + 0.858308i
\(50\) −1.41671 2.45381i −0.200353 0.347021i
\(51\) −12.9187 + 0.249914i −1.80898 + 0.0349950i
\(52\) −1.23425 2.13779i −0.171160 0.296458i
\(53\) 0.254182 + 0.440256i 0.0349146 + 0.0604739i 0.882955 0.469458i \(-0.155551\pi\)
−0.848040 + 0.529932i \(0.822217\pi\)
\(54\) −1.05877 1.61031i −0.144080 0.219135i
\(55\) 2.90039 5.02363i 0.391089 0.677386i
\(56\) 0.178889 0.309845i 0.0239050 0.0414047i
\(57\) 1.35962 + 7.42640i 0.180085 + 0.983651i
\(58\) 0.765376 + 1.32567i 0.100499 + 0.174069i
\(59\) −10.4624 −1.36209 −0.681045 0.732242i \(-0.738474\pi\)
−0.681045 + 0.732242i \(0.738474\pi\)
\(60\) 11.4664 0.221820i 1.48031 0.0286368i
\(61\) 4.14100 0.530201 0.265100 0.964221i \(-0.414595\pi\)
0.265100 + 0.964221i \(0.414595\pi\)
\(62\) −1.60547 + 2.78076i −0.203895 + 0.353157i
\(63\) −0.399442 0.633898i −0.0503250 0.0798636i
\(64\) −4.88521 −0.610652
\(65\) −2.35606 + 4.08082i −0.292234 + 0.506164i
\(66\) −0.541537 0.897424i −0.0666586 0.110465i
\(67\) 0.399675 0.692257i 0.0488281 0.0845727i −0.840578 0.541690i \(-0.817785\pi\)
0.889406 + 0.457117i \(0.151118\pi\)
\(68\) −6.94690 12.0324i −0.842436 1.45914i
\(69\) −7.77793 + 0.150466i −0.936353 + 0.0181139i
\(70\) −0.329319 −0.0393612
\(71\) 5.60051 9.70037i 0.664658 1.15122i −0.314719 0.949185i \(-0.601910\pi\)
0.979378 0.202037i \(-0.0647563\pi\)
\(72\) 2.00325 3.80216i 0.236086 0.448089i
\(73\) −1.84754 + 3.20004i −0.216239 + 0.374537i −0.953655 0.300902i \(-0.902712\pi\)
0.737416 + 0.675439i \(0.236046\pi\)
\(74\) −0.575989 0.997642i −0.0669573 0.115974i
\(75\) −6.83642 11.3292i −0.789402 1.30818i
\(76\) −6.28519 + 5.13823i −0.720961 + 0.589396i
\(77\) −0.203751 0.352907i −0.0232195 0.0402174i
\(78\) 0.439905 + 0.729000i 0.0498094 + 0.0825430i
\(79\) −4.92764 8.53493i −0.554403 0.960255i −0.997950 0.0640032i \(-0.979613\pi\)
0.443546 0.896251i \(-0.353720\pi\)
\(80\) 5.67691 + 9.83269i 0.634698 + 1.09933i
\(81\) −5.08898 7.42309i −0.565443 0.824788i
\(82\) −1.02907 1.78241i −0.113642 0.196834i
\(83\) 0.185251 0.320865i 0.0203340 0.0352195i −0.855679 0.517506i \(-0.826860\pi\)
0.876013 + 0.482287i \(0.160194\pi\)
\(84\) 0.389259 0.705381i 0.0424716 0.0769634i
\(85\) −13.2609 + 22.9686i −1.43835 + 2.49130i
\(86\) 1.86198 3.22504i 0.200782 0.347765i
\(87\) 3.69338 + 6.12059i 0.395972 + 0.656196i
\(88\) 1.16868 2.02422i 0.124582 0.215783i
\(89\) 4.01034 + 6.94611i 0.425095 + 0.736286i 0.996429 0.0844315i \(-0.0269074\pi\)
−0.571334 + 0.820717i \(0.693574\pi\)
\(90\) −3.95281 + 0.152993i −0.416662 + 0.0161269i
\(91\) 0.165512 + 0.286675i 0.0173504 + 0.0300517i
\(92\) −4.18251 7.24433i −0.436057 0.755273i
\(93\) −7.24498 + 13.1287i −0.751269 + 1.36139i
\(94\) −0.624161 1.08108i −0.0643772 0.111505i
\(95\) 14.4932 + 5.48621i 1.48697 + 0.562873i
\(96\) 7.01269 0.135662i 0.715729 0.0138459i
\(97\) −3.21577 5.56988i −0.326512 0.565536i 0.655305 0.755364i \(-0.272540\pi\)
−0.981817 + 0.189829i \(0.939207\pi\)
\(98\) 1.28654 2.22836i 0.129961 0.225098i
\(99\) −2.60956 4.14127i −0.262271 0.416213i
\(100\) 7.11408 12.3220i 0.711408 1.23220i
\(101\) 7.56353 0.752600 0.376300 0.926498i \(-0.377196\pi\)
0.376300 + 0.926498i \(0.377196\pi\)
\(102\) 2.47597 + 4.10313i 0.245158 + 0.406270i
\(103\) −6.90927 11.9672i −0.680791 1.17916i −0.974740 0.223343i \(-0.928303\pi\)
0.293949 0.955821i \(-0.405030\pi\)
\(104\) −0.949353 + 1.64433i −0.0930917 + 0.161240i
\(105\) −1.53763 + 0.0297458i −0.150057 + 0.00290289i
\(106\) 0.0942734 0.163286i 0.00915664 0.0158598i
\(107\) 12.0119 1.16123 0.580616 0.814177i \(-0.302812\pi\)
0.580616 + 0.814177i \(0.302812\pi\)
\(108\) 4.34456 8.64751i 0.418055 0.832107i
\(109\) −7.62598 + 13.2086i −0.730436 + 1.26515i 0.226261 + 0.974067i \(0.427350\pi\)
−0.956697 + 0.291086i \(0.905984\pi\)
\(110\) −2.15145 −0.205133
\(111\) −2.77948 4.60609i −0.263816 0.437191i
\(112\) 0.797598 0.0753659
\(113\) −1.46481 2.53713i −0.137798 0.238673i 0.788865 0.614567i \(-0.210669\pi\)
−0.926663 + 0.375894i \(0.877336\pi\)
\(114\) 2.13322 1.81389i 0.199795 0.169887i
\(115\) −7.98399 + 13.8287i −0.744511 + 1.28953i
\(116\) −3.84338 + 6.65693i −0.356849 + 0.618081i
\(117\) 2.11982 + 3.36406i 0.195977 + 0.311007i
\(118\) 1.94020 + 3.36052i 0.178610 + 0.309361i
\(119\) 0.931572 + 1.61353i 0.0853970 + 0.147912i
\(120\) −4.55758 7.55272i −0.416048 0.689466i
\(121\) 4.16889 + 7.22073i 0.378990 + 0.656430i
\(122\) −0.767926 1.33009i −0.0695248 0.120420i
\(123\) −4.96587 8.22933i −0.447757 0.742014i
\(124\) −16.1240 −1.44797
\(125\) −9.38406 −0.839336
\(126\) −0.129533 + 0.245853i −0.0115397 + 0.0219024i
\(127\) −0.949181 1.64403i −0.0842262 0.145884i 0.820835 0.571165i \(-0.193509\pi\)
−0.905061 + 0.425281i \(0.860175\pi\)
\(128\) 4.95547 + 8.58313i 0.438006 + 0.758648i
\(129\) 8.40251 15.2263i 0.739800 1.34060i
\(130\) 1.74768 0.153281
\(131\) −3.02889 −0.264636 −0.132318 0.991207i \(-0.542242\pi\)
−0.132318 + 0.991207i \(0.542242\pi\)
\(132\) 2.54304 4.60827i 0.221343 0.401098i
\(133\) 0.842837 0.689031i 0.0730832 0.0597465i
\(134\) −0.296470 −0.0256111
\(135\) −18.4423 + 1.07138i −1.58726 + 0.0922098i
\(136\) −5.34336 + 9.25497i −0.458190 + 0.793608i
\(137\) 4.25747 0.363741 0.181870 0.983323i \(-0.441785\pi\)
0.181870 + 0.983323i \(0.441785\pi\)
\(138\) 1.49070 + 2.47036i 0.126897 + 0.210291i
\(139\) 8.63607 14.9581i 0.732502 1.26873i −0.223308 0.974748i \(-0.571686\pi\)
0.955811 0.293983i \(-0.0949809\pi\)
\(140\) −0.826848 1.43214i −0.0698814 0.121038i
\(141\) −3.01193 4.99131i −0.253650 0.420344i
\(142\) −4.15434 −0.348624
\(143\) 1.08129 + 1.87285i 0.0904222 + 0.156616i
\(144\) 9.57354 0.370543i 0.797795 0.0308786i
\(145\) 14.6732 1.21855
\(146\) 1.37047 0.113421
\(147\) 5.80576 10.5207i 0.478851 0.867732i
\(148\) 2.89236 5.00972i 0.237751 0.411796i
\(149\) 1.84615 0.151242 0.0756211 0.997137i \(-0.475906\pi\)
0.0756211 + 0.997137i \(0.475906\pi\)
\(150\) −2.37115 + 4.29679i −0.193603 + 0.350831i
\(151\) −5.59926 + 9.69820i −0.455661 + 0.789228i −0.998726 0.0504626i \(-0.983930\pi\)
0.543065 + 0.839691i \(0.317264\pi\)
\(152\) 5.83989 + 2.21061i 0.473677 + 0.179305i
\(153\) 11.9312 + 18.9344i 0.964583 + 1.53075i
\(154\) −0.0755689 + 0.130889i −0.00608952 + 0.0105473i
\(155\) 15.3895 + 26.6554i 1.23611 + 2.14101i
\(156\) −2.06577 + 3.74342i −0.165394 + 0.299713i
\(157\) 20.7711 1.65772 0.828858 0.559459i \(-0.188991\pi\)
0.828858 + 0.559459i \(0.188991\pi\)
\(158\) −1.82761 + 3.16551i −0.145397 + 0.251835i
\(159\) 0.425425 0.770919i 0.0337384 0.0611379i
\(160\) 7.19847 12.4681i 0.569089 0.985692i
\(161\) 0.560870 + 0.971456i 0.0442028 + 0.0765614i
\(162\) −1.44057 + 3.01115i −0.113182 + 0.236578i
\(163\) −5.41671 −0.424269 −0.212135 0.977240i \(-0.568042\pi\)
−0.212135 + 0.977240i \(0.568042\pi\)
\(164\) 5.16755 8.95046i 0.403518 0.698914i
\(165\) −10.0454 + 0.194330i −0.782032 + 0.0151286i
\(166\) −0.137415 −0.0106655
\(167\) 0.750032 1.29909i 0.0580392 0.100527i −0.835546 0.549421i \(-0.814848\pi\)
0.893585 + 0.448894i \(0.148182\pi\)
\(168\) −0.619573 + 0.0119858i −0.0478011 + 0.000924723i
\(169\) 5.62164 + 9.73696i 0.432434 + 0.748997i
\(170\) 9.83667 0.754438
\(171\) 9.79644 8.66197i 0.749152 0.662398i
\(172\) 18.7001 1.42587
\(173\) −11.2067 19.4106i −0.852031 1.47576i −0.879372 0.476135i \(-0.842037\pi\)
0.0273414 0.999626i \(-0.491296\pi\)
\(174\) 1.28101 2.32134i 0.0971132 0.175980i
\(175\) −0.953990 + 1.65236i −0.0721149 + 0.124907i
\(176\) 5.21072 0.392773
\(177\) 9.36256 + 15.5154i 0.703733 + 1.16621i
\(178\) 1.48739 2.57623i 0.111485 0.193097i
\(179\) −12.7134 −0.950242 −0.475121 0.879920i \(-0.657596\pi\)
−0.475121 + 0.879920i \(0.657596\pi\)
\(180\) −10.5900 16.8058i −0.789329 1.25263i
\(181\) 1.31157 + 2.27170i 0.0974880 + 0.168854i 0.910644 0.413191i \(-0.135586\pi\)
−0.813156 + 0.582045i \(0.802253\pi\)
\(182\) 0.0613866 0.106325i 0.00455027 0.00788131i
\(183\) −3.70568 6.14098i −0.273932 0.453954i
\(184\) −3.21707 + 5.57213i −0.237166 + 0.410783i
\(185\) −11.0425 −0.811857
\(186\) 5.56048 0.107569i 0.407714 0.00788731i
\(187\) 6.08598 + 10.5412i 0.445051 + 0.770850i
\(188\) 3.13426 5.42870i 0.228589 0.395928i
\(189\) −0.582600 + 1.15962i −0.0423779 + 0.0843500i
\(190\) −0.925514 5.67259i −0.0671439 0.411533i
\(191\) −1.70417 + 2.95170i −0.123309 + 0.213578i −0.921071 0.389395i \(-0.872684\pi\)
0.797762 + 0.602973i \(0.206017\pi\)
\(192\) 4.37166 + 7.24462i 0.315497 + 0.522835i
\(193\) 0.497765 0.0358299 0.0179150 0.999840i \(-0.494297\pi\)
0.0179150 + 0.999840i \(0.494297\pi\)
\(194\) −1.19269 + 2.06581i −0.0856305 + 0.148316i
\(195\) 8.16012 0.157859i 0.584358 0.0113045i
\(196\) 12.9209 0.922923
\(197\) −2.64398 −0.188376 −0.0941880 0.995554i \(-0.530025\pi\)
−0.0941880 + 0.995554i \(0.530025\pi\)
\(198\) −0.846243 + 1.60617i −0.0601399 + 0.114145i
\(199\) 0.106311 + 0.184136i 0.00753617 + 0.0130530i 0.869769 0.493459i \(-0.164268\pi\)
−0.862233 + 0.506512i \(0.830934\pi\)
\(200\) −10.9439 −0.773851
\(201\) −1.38426 + 0.0267787i −0.0976379 + 0.00188882i
\(202\) −1.40262 2.42940i −0.0986877 0.170932i
\(203\) 0.515393 0.892687i 0.0361735 0.0626543i
\(204\) −11.6270 + 21.0695i −0.814056 + 1.47516i
\(205\) −19.7287 −1.37791
\(206\) −2.56257 + 4.43851i −0.178543 + 0.309245i
\(207\) 7.18342 + 11.3998i 0.499282 + 0.792340i
\(208\) −4.23280 −0.293492
\(209\) 5.50627 4.50145i 0.380877 0.311372i
\(210\) 0.294700 + 0.488370i 0.0203362 + 0.0337007i
\(211\) −8.52375 −0.586799 −0.293400 0.955990i \(-0.594787\pi\)
−0.293400 + 0.955990i \(0.594787\pi\)
\(212\) 0.946799 0.0650264
\(213\) −19.3971 + 0.375241i −1.32907 + 0.0257111i
\(214\) −2.22754 3.85821i −0.152271 0.263742i
\(215\) −17.8483 30.9141i −1.21724 2.10833i
\(216\) −7.43115 + 0.431702i −0.505626 + 0.0293736i
\(217\) 2.16220 0.146780
\(218\) 5.65678 0.383126
\(219\) 6.39889 0.123788i 0.432397 0.00836480i
\(220\) −5.40181 9.35621i −0.364190 0.630796i
\(221\) −4.94380 8.56290i −0.332556 0.576003i
\(222\) −0.964034 + 1.74694i −0.0647017 + 0.117247i
\(223\) −7.80159 13.5127i −0.522433 0.904880i −0.999659 0.0260998i \(-0.991691\pi\)
0.477227 0.878780i \(-0.341642\pi\)
\(224\) −0.505688 0.875877i −0.0337877 0.0585220i
\(225\) −10.6831 + 20.2764i −0.712205 + 1.35176i
\(226\) −0.543283 + 0.940994i −0.0361386 + 0.0625940i
\(227\) −0.595426 + 1.03131i −0.0395198 + 0.0684503i −0.885109 0.465384i \(-0.845916\pi\)
0.845589 + 0.533835i \(0.179249\pi\)
\(228\) 13.2443 + 4.72267i 0.877126 + 0.312766i
\(229\) −9.98443 17.2935i −0.659790 1.14279i −0.980670 0.195669i \(-0.937312\pi\)
0.320880 0.947120i \(-0.396021\pi\)
\(230\) 5.92235 0.390508
\(231\) −0.341018 + 0.617964i −0.0224373 + 0.0406590i
\(232\) 5.91244 0.388171
\(233\) 6.18432 10.7115i 0.405148 0.701737i −0.589191 0.807994i \(-0.700553\pi\)
0.994339 + 0.106257i \(0.0338867\pi\)
\(234\) 0.687425 1.30473i 0.0449384 0.0852928i
\(235\) −11.9660 −0.780573
\(236\) −9.74281 + 16.8750i −0.634203 + 1.09847i
\(237\) −8.24741 + 14.9452i −0.535727 + 0.970798i
\(238\) 0.345510 0.598440i 0.0223961 0.0387911i
\(239\) 8.11631 + 14.0579i 0.525000 + 0.909327i 0.999576 + 0.0291128i \(0.00926819\pi\)
−0.474576 + 0.880215i \(0.657398\pi\)
\(240\) 9.50145 17.2177i 0.613316 1.11140i
\(241\) 10.4869 0.675523 0.337762 0.941232i \(-0.390330\pi\)
0.337762 + 0.941232i \(0.390330\pi\)
\(242\) 1.54620 2.67809i 0.0993933 0.172154i
\(243\) −6.45420 + 14.1895i −0.414037 + 0.910260i
\(244\) 3.85619 6.67911i 0.246867 0.427586i
\(245\) −12.3324 21.3603i −0.787885 1.36466i
\(246\) −1.72236 + 3.12112i −0.109814 + 0.198995i
\(247\) −4.47288 + 3.65665i −0.284603 + 0.232667i
\(248\) 6.20104 + 10.7405i 0.393767 + 0.682024i
\(249\) −0.641609 + 0.0124121i −0.0406603 + 0.000786583i
\(250\) 1.74022 + 3.01415i 0.110061 + 0.190632i
\(251\) −7.02198 12.1624i −0.443223 0.767685i 0.554703 0.832048i \(-0.312832\pi\)
−0.997927 + 0.0643630i \(0.979498\pi\)
\(252\) −1.39440 + 0.0539700i −0.0878387 + 0.00339979i
\(253\) 3.66418 + 6.34654i 0.230365 + 0.399004i
\(254\) −0.352041 + 0.609753i −0.0220890 + 0.0382593i
\(255\) 45.9286 0.888499i 2.87616 0.0556399i
\(256\) −3.04728 + 5.27805i −0.190455 + 0.329878i
\(257\) −8.58033 + 14.8616i −0.535227 + 0.927040i 0.463926 + 0.885874i \(0.346440\pi\)
−0.999152 + 0.0411655i \(0.986893\pi\)
\(258\) −6.44888 + 0.124755i −0.401490 + 0.00776690i
\(259\) −0.387862 + 0.671797i −0.0241006 + 0.0417435i
\(260\) 4.38803 + 7.60029i 0.272134 + 0.471350i
\(261\) 5.77153 10.9543i 0.357249 0.678056i
\(262\) 0.561691 + 0.972878i 0.0347014 + 0.0601046i
\(263\) −9.74973 16.8870i −0.601194 1.04130i −0.992641 0.121098i \(-0.961358\pi\)
0.391446 0.920201i \(-0.371975\pi\)
\(264\) −4.04769 + 0.0783033i −0.249118 + 0.00481924i
\(265\) −0.903671 1.56520i −0.0555121 0.0961498i
\(266\) −0.377616 0.142942i −0.0231531 0.00876431i
\(267\) 6.71211 12.1631i 0.410774 0.744370i
\(268\) −0.744371 1.28929i −0.0454697 0.0787558i
\(269\) −11.5796 + 20.0564i −0.706020 + 1.22286i 0.260303 + 0.965527i \(0.416178\pi\)
−0.966322 + 0.257335i \(0.917156\pi\)
\(270\) 3.76415 + 5.72498i 0.229079 + 0.348411i
\(271\) −11.0388 + 19.1197i −0.670557 + 1.16144i 0.307190 + 0.951648i \(0.400611\pi\)
−0.977746 + 0.209790i \(0.932722\pi\)
\(272\) −23.8240 −1.44454
\(273\) 0.277018 0.501988i 0.0167659 0.0303817i
\(274\) −0.789525 1.36750i −0.0476970 0.0826136i
\(275\) −6.23244 + 10.7949i −0.375830 + 0.650957i
\(276\) −7.00028 + 12.6853i −0.421368 + 0.763566i
\(277\) 14.7992 25.6330i 0.889199 1.54014i 0.0483752 0.998829i \(-0.484596\pi\)
0.840824 0.541309i \(-0.182071\pi\)
\(278\) −6.40605 −0.384209
\(279\) 25.9529 1.00450i 1.55376 0.0601380i
\(280\) −0.635988 + 1.10156i −0.0380075 + 0.0658310i
\(281\) 28.8083 1.71856 0.859280 0.511506i \(-0.170912\pi\)
0.859280 + 0.511506i \(0.170912\pi\)
\(282\) −1.04466 + 1.89304i −0.0622085 + 0.112729i
\(283\) 16.0204 0.952314 0.476157 0.879360i \(-0.342029\pi\)
0.476157 + 0.879360i \(0.342029\pi\)
\(284\) −10.4306 18.0664i −0.618944 1.07204i
\(285\) −4.83372 26.4024i −0.286325 1.56394i
\(286\) 0.401040 0.694621i 0.0237140 0.0410738i
\(287\) −0.692963 + 1.20025i −0.0409043 + 0.0708483i
\(288\) −6.47667 10.2782i −0.381641 0.605649i
\(289\) −19.3258 33.4732i −1.13681 1.96901i
\(290\) −2.72107 4.71304i −0.159787 0.276759i
\(291\) −5.38225 + 9.75324i −0.315513 + 0.571745i
\(292\) 3.44094 + 5.95989i 0.201366 + 0.348776i
\(293\) −0.400378 0.693475i −0.0233903 0.0405132i 0.854093 0.520120i \(-0.174113\pi\)
−0.877484 + 0.479607i \(0.840779\pi\)
\(294\) −4.45589 + 0.0862000i −0.259873 + 0.00502729i
\(295\) 37.1961 2.16564
\(296\) −4.44945 −0.258619
\(297\) −3.80614 + 7.57582i −0.220855 + 0.439594i
\(298\) −0.342358 0.592981i −0.0198322 0.0343504i
\(299\) −2.97650 5.15546i −0.172136 0.298148i
\(300\) −24.6393 + 0.476652i −1.42255 + 0.0275195i
\(301\) −2.50766 −0.144539
\(302\) 4.15341 0.239002
\(303\) −6.76842 11.2165i −0.388836 0.644370i
\(304\) 2.24156 + 13.7388i 0.128562 + 0.787974i
\(305\) −14.7221 −0.842987
\(306\) 3.86912 7.34358i 0.221183 0.419804i
\(307\) 2.29987 3.98349i 0.131260 0.227350i −0.792902 0.609349i \(-0.791431\pi\)
0.924163 + 0.381999i \(0.124764\pi\)
\(308\) −0.758947 −0.0432450
\(309\) −11.5641 + 20.9554i −0.657856 + 1.19211i
\(310\) 5.70779 9.88619i 0.324181 0.561498i
\(311\) 16.4116 + 28.4257i 0.930615 + 1.61187i 0.782273 + 0.622936i \(0.214060\pi\)
0.148342 + 0.988936i \(0.452606\pi\)
\(312\) 3.28804 0.0636078i 0.186149 0.00360108i
\(313\) −18.3876 −1.03933 −0.519664 0.854371i \(-0.673943\pi\)
−0.519664 + 0.854371i \(0.673943\pi\)
\(314\) −3.85189 6.67167i −0.217375 0.376504i
\(315\) 1.42010 + 2.25364i 0.0800136 + 0.126978i
\(316\) −18.3549 −1.03254
\(317\) 1.35820 0.0762844 0.0381422 0.999272i \(-0.487856\pi\)
0.0381422 + 0.999272i \(0.487856\pi\)
\(318\) −0.326511 + 0.00631643i −0.0183099 + 0.000354208i
\(319\) 3.36707 5.83194i 0.188520 0.326526i
\(320\) 17.3680 0.970899
\(321\) −10.7491 17.8133i −0.599959 0.994239i
\(322\) 0.208021 0.360302i 0.0115925 0.0200789i
\(323\) −25.1753 + 20.5812i −1.40079 + 1.14517i
\(324\) −16.7118 + 1.29560i −0.928435 + 0.0719778i
\(325\) 5.06277 8.76897i 0.280832 0.486415i
\(326\) 1.00450 + 1.73984i 0.0556341 + 0.0963610i
\(327\) 26.4122 0.510950i 1.46060 0.0282556i
\(328\) −7.94947 −0.438936
\(329\) −0.420300 + 0.727982i −0.0231719 + 0.0401349i
\(330\) 1.92528 + 3.19053i 0.105983 + 0.175633i
\(331\) 8.39869 14.5470i 0.461634 0.799573i −0.537409 0.843322i \(-0.680597\pi\)
0.999043 + 0.0437490i \(0.0139302\pi\)
\(332\) −0.345020 0.597592i −0.0189354 0.0327971i
\(333\) −4.34340 + 8.24375i −0.238017 + 0.451755i
\(334\) −0.556357 −0.0304425
\(335\) −1.42093 + 2.46112i −0.0776336 + 0.134465i
\(336\) −0.713751 1.18281i −0.0389383 0.0645277i
\(337\) 36.5224 1.98950 0.994750 0.102335i \(-0.0326312\pi\)
0.994750 + 0.102335i \(0.0326312\pi\)
\(338\) 2.08500 3.61133i 0.113409 0.196431i
\(339\) −2.45166 + 4.44269i −0.133156 + 0.241294i
\(340\) 24.6977 + 42.7777i 1.33942 + 2.31995i
\(341\) 14.1257 0.764951
\(342\) −4.59892 1.54029i −0.248681 0.0832895i
\(343\) −3.48094 −0.187953
\(344\) −7.19179 12.4565i −0.387755 0.671612i
\(345\) 27.6522 0.534937i 1.48874 0.0288001i
\(346\) −4.15645 + 7.19918i −0.223452 + 0.387030i
\(347\) −10.1508 −0.544926 −0.272463 0.962166i \(-0.587838\pi\)
−0.272463 + 0.962166i \(0.587838\pi\)
\(348\) 13.3114 0.257511i 0.713565 0.0138041i
\(349\) 8.63614 14.9582i 0.462282 0.800696i −0.536792 0.843715i \(-0.680364\pi\)
0.999074 + 0.0430183i \(0.0136974\pi\)
\(350\) 0.707649 0.0378254
\(351\) 3.09182 6.15404i 0.165029 0.328478i
\(352\) −3.30367 5.72212i −0.176086 0.304990i
\(353\) −8.45158 + 14.6386i −0.449832 + 0.779132i −0.998375 0.0569905i \(-0.981850\pi\)
0.548543 + 0.836123i \(0.315183\pi\)
\(354\) 3.24731 5.88450i 0.172593 0.312758i
\(355\) −19.9110 + 34.4869i −1.05677 + 1.83037i
\(356\) 14.9380 0.791714
\(357\) 1.55917 2.82540i 0.0825202 0.149536i
\(358\) 2.35762 + 4.08353i 0.124604 + 0.215821i
\(359\) 3.82747 6.62938i 0.202006 0.349885i −0.747168 0.664635i \(-0.768587\pi\)
0.949175 + 0.314750i \(0.101921\pi\)
\(360\) −7.12198 + 13.5175i −0.375361 + 0.712434i
\(361\) 14.2374 + 12.5816i 0.749337 + 0.662189i
\(362\) 0.486446 0.842549i 0.0255670 0.0442834i
\(363\) 6.97748 12.6440i 0.366223 0.663638i
\(364\) 0.616512 0.0323140
\(365\) 6.56841 11.3768i 0.343806 0.595490i
\(366\) −1.28528 + 2.32907i −0.0671826 + 0.121743i
\(367\) −24.7775 −1.29338 −0.646688 0.762755i \(-0.723846\pi\)
−0.646688 + 0.762755i \(0.723846\pi\)
\(368\) −14.3437 −0.747717
\(369\) −7.76001 + 14.7285i −0.403970 + 0.766733i
\(370\) 2.04776 + 3.54683i 0.106458 + 0.184391i
\(371\) −0.126965 −0.00659167
\(372\) 14.4289 + 23.9113i 0.748105 + 1.23974i
\(373\) 11.5863 + 20.0681i 0.599917 + 1.03909i 0.992833 + 0.119512i \(0.0381330\pi\)
−0.392916 + 0.919574i \(0.628534\pi\)
\(374\) 2.25722 3.90962i 0.116718 0.202162i
\(375\) 8.39757 + 13.9163i 0.433649 + 0.718633i
\(376\) −4.82157 −0.248653
\(377\) −2.73516 + 4.73744i −0.140868 + 0.243990i
\(378\) 0.480509 0.0279145i 0.0247147 0.00143577i
\(379\) 29.0801 1.49374 0.746871 0.664969i \(-0.231555\pi\)
0.746871 + 0.664969i \(0.231555\pi\)
\(380\) 22.3452 18.2675i 1.14628 0.937103i
\(381\) −1.58865 + 2.87881i −0.0813888 + 0.147486i
\(382\) 1.26411 0.0646777
\(383\) −2.82855 −0.144532 −0.0722662 0.997385i \(-0.523023\pi\)
−0.0722662 + 0.997385i \(0.523023\pi\)
\(384\) 8.29398 15.0296i 0.423250 0.766978i
\(385\) 0.724377 + 1.25466i 0.0369177 + 0.0639433i
\(386\) −0.0923078 0.159882i −0.00469834 0.00813777i
\(387\) −30.0994 + 1.16499i −1.53004 + 0.0592199i
\(388\) −11.9784 −0.608110
\(389\) 19.1659 0.971750 0.485875 0.874028i \(-0.338501\pi\)
0.485875 + 0.874028i \(0.338501\pi\)
\(390\) −1.56395 2.59175i −0.0791939 0.131238i
\(391\) −16.7530 29.0171i −0.847238 1.46746i
\(392\) −4.96920 8.60691i −0.250983 0.434715i
\(393\) 2.71048 + 4.49175i 0.136726 + 0.226579i
\(394\) 0.490312 + 0.849245i 0.0247016 + 0.0427844i
\(395\) 17.5188 + 30.3435i 0.881467 + 1.52675i
\(396\) −9.10962 + 0.352587i −0.457776 + 0.0177182i
\(397\) 15.9590 27.6417i 0.800958 1.38730i −0.118029 0.993010i \(-0.537658\pi\)
0.918986 0.394289i \(-0.129009\pi\)
\(398\) 0.0394295 0.0682939i 0.00197642 0.00342326i
\(399\) −1.77605 0.633304i −0.0889135 0.0317049i
\(400\) −12.1987 21.1287i −0.609934 1.05644i
\(401\) 38.3406 1.91464 0.957320 0.289030i \(-0.0933328\pi\)
0.957320 + 0.289030i \(0.0933328\pi\)
\(402\) 0.265304 + 0.439656i 0.0132322 + 0.0219280i
\(403\) −11.4747 −0.571595
\(404\) 7.04332 12.1994i 0.350418 0.606942i
\(405\) 18.0924 + 26.3906i 0.899019 + 1.31136i
\(406\) −0.382307 −0.0189736
\(407\) −2.53391 + 4.38887i −0.125601 + 0.217548i
\(408\) 18.5065 0.358012i 0.916208 0.0177242i
\(409\) −1.14644 + 1.98569i −0.0566877 + 0.0981860i −0.892977 0.450103i \(-0.851387\pi\)
0.836289 + 0.548289i \(0.184721\pi\)
\(410\) 3.65857 + 6.33683i 0.180684 + 0.312954i
\(411\) −3.80991 6.31370i −0.187929 0.311432i
\(412\) −25.7362 −1.26793
\(413\) 1.30650 2.26292i 0.0642886 0.111351i
\(414\) 2.32948 4.42134i 0.114488 0.217297i
\(415\) −0.658608 + 1.14074i −0.0323298 + 0.0559968i
\(416\) 2.68366 + 4.64823i 0.131577 + 0.227898i
\(417\) −29.9106 + 0.578627i −1.46473 + 0.0283355i
\(418\) −2.46697 0.933841i −0.120663 0.0456756i
\(419\) 5.32211 + 9.21817i 0.260002 + 0.450337i 0.966242 0.257636i \(-0.0829434\pi\)
−0.706240 + 0.707972i \(0.749610\pi\)
\(420\) −1.38390 + 2.50778i −0.0675272 + 0.122367i
\(421\) −12.9323 22.3994i −0.630280 1.09168i −0.987494 0.157655i \(-0.949607\pi\)
0.357214 0.934023i \(-0.383727\pi\)
\(422\) 1.58068 + 2.73782i 0.0769464 + 0.133275i
\(423\) −4.70665 + 8.93320i −0.228845 + 0.434347i
\(424\) −0.364125 0.630684i −0.0176835 0.0306287i
\(425\) 28.4954 49.3555i 1.38223 2.39409i
\(426\) 3.71762 + 6.16075i 0.180119 + 0.298489i
\(427\) −0.517110 + 0.895661i −0.0250247 + 0.0433441i
\(428\) 11.1857 19.3742i 0.540682 0.936489i
\(429\) 1.80976 3.27950i 0.0873761 0.158336i
\(430\) −6.61973 + 11.4657i −0.319232 + 0.552926i
\(431\) −9.52984 16.5062i −0.459036 0.795074i 0.539874 0.841746i \(-0.318472\pi\)
−0.998910 + 0.0466716i \(0.985139\pi\)
\(432\) −9.11664 13.8657i −0.438624 0.667113i
\(433\) 13.3288 + 23.0861i 0.640540 + 1.10945i 0.985312 + 0.170761i \(0.0546226\pi\)
−0.344773 + 0.938686i \(0.612044\pi\)
\(434\) −0.400969 0.694498i −0.0192471 0.0333370i
\(435\) −13.1307 21.7600i −0.629571 1.04331i
\(436\) 14.2029 + 24.6002i 0.680197 + 1.17814i
\(437\) −15.1573 + 12.3913i −0.725070 + 0.592755i
\(438\) −1.22640 2.03236i −0.0585996 0.0971100i
\(439\) 0.973523 + 1.68619i 0.0464637 + 0.0804775i 0.888322 0.459221i \(-0.151871\pi\)
−0.841858 + 0.539699i \(0.818538\pi\)
\(440\) −4.15492 + 7.19653i −0.198078 + 0.343081i
\(441\) −20.7973 + 0.804957i −0.990348 + 0.0383313i
\(442\) −1.83360 + 3.17589i −0.0872154 + 0.151062i
\(443\) 6.56230 0.311784 0.155892 0.987774i \(-0.450175\pi\)
0.155892 + 0.987774i \(0.450175\pi\)
\(444\) −10.0176 + 0.193792i −0.475413 + 0.00919695i
\(445\) −14.2576 24.6949i −0.675875 1.17065i
\(446\) −2.89352 + 5.01173i −0.137012 + 0.237312i
\(447\) −1.65207 2.73778i −0.0781403 0.129492i
\(448\) 0.610044 1.05663i 0.0288219 0.0499209i
\(449\) −35.5348 −1.67699 −0.838495 0.544910i \(-0.816564\pi\)
−0.838495 + 0.544910i \(0.816564\pi\)
\(450\) 8.49389 0.328755i 0.400406 0.0154977i
\(451\) −4.52714 + 7.84124i −0.213175 + 0.369229i
\(452\) −5.45626 −0.256641
\(453\) 19.3928 0.375157i 0.911152 0.0176264i
\(454\) 0.441674 0.0207288
\(455\) −0.588430 1.01919i −0.0275860 0.0477804i
\(456\) −1.94770 10.6386i −0.0912094 0.498198i
\(457\) −3.32444 + 5.75809i −0.155511 + 0.269352i −0.933245 0.359241i \(-0.883036\pi\)
0.777734 + 0.628593i \(0.216369\pi\)
\(458\) −3.70311 + 6.41398i −0.173035 + 0.299706i
\(459\) 17.4021 34.6375i 0.812261 1.61674i
\(460\) 14.8697 + 25.7551i 0.693304 + 1.20084i
\(461\) 3.48590 + 6.03776i 0.162355 + 0.281207i 0.935713 0.352763i \(-0.114758\pi\)
−0.773358 + 0.633970i \(0.781424\pi\)
\(462\) 0.261729 0.00506321i 0.0121768 0.000235562i
\(463\) 8.59691 + 14.8903i 0.399532 + 0.692010i 0.993668 0.112354i \(-0.0358392\pi\)
−0.594136 + 0.804365i \(0.702506\pi\)
\(464\) 6.59033 + 11.4148i 0.305949 + 0.529919i
\(465\) 25.7574 46.6754i 1.19447 2.16452i
\(466\) −4.58739 −0.212507
\(467\) 36.5485 1.69126 0.845632 0.533766i \(-0.179224\pi\)
0.845632 + 0.533766i \(0.179224\pi\)
\(468\) 7.39998 0.286415i 0.342064 0.0132396i
\(469\) 0.0998193 + 0.172892i 0.00460923 + 0.00798341i
\(470\) 2.21902 + 3.84346i 0.102356 + 0.177286i
\(471\) −18.5876 30.8029i −0.856470 1.41932i
\(472\) 14.9878 0.689869
\(473\) −16.3826 −0.753272
\(474\) 6.32984 0.122452i 0.290739 0.00562441i
\(475\) −31.1433 11.7889i −1.42895 0.540912i
\(476\) 3.47000 0.159047
\(477\) −1.52395 + 0.0589844i −0.0697770 + 0.00270071i
\(478\) 3.01025 5.21391i 0.137686 0.238479i
\(479\) −19.9654 −0.912242 −0.456121 0.889918i \(-0.650762\pi\)
−0.456121 + 0.889918i \(0.650762\pi\)
\(480\) −24.9316 + 0.482306i −1.13797 + 0.0220142i
\(481\) 2.05836 3.56519i 0.0938533 0.162559i
\(482\) −1.94475 3.36840i −0.0885807 0.153426i
\(483\) 0.938730 1.70109i 0.0427137 0.0774021i
\(484\) 15.5286 0.705847
\(485\) 11.4327 + 19.8021i 0.519134 + 0.899167i
\(486\) 5.75457 0.558289i 0.261033 0.0253245i
\(487\) 0.541412 0.0245337 0.0122669 0.999925i \(-0.496095\pi\)
0.0122669 + 0.999925i \(0.496095\pi\)
\(488\) −5.93214 −0.268535
\(489\) 4.84728 + 8.03281i 0.219202 + 0.363256i
\(490\) −4.57394 + 7.92229i −0.206629 + 0.357893i
\(491\) −7.34369 −0.331416 −0.165708 0.986175i \(-0.552991\pi\)
−0.165708 + 0.986175i \(0.552991\pi\)
\(492\) −17.8976 + 0.346232i −0.806885 + 0.0156094i
\(493\) −15.3946 + 26.6643i −0.693340 + 1.20090i
\(494\) 2.00398 + 0.758583i 0.0901635 + 0.0341302i
\(495\) 9.27755 + 14.7231i 0.416995 + 0.661753i
\(496\) −13.8241 + 23.9440i −0.620718 + 1.07512i
\(497\) 1.39873 + 2.42268i 0.0627418 + 0.108672i
\(498\) 0.122970 + 0.203783i 0.00551040 + 0.00913172i
\(499\) −11.9475 −0.534842 −0.267421 0.963580i \(-0.586171\pi\)
−0.267421 + 0.963580i \(0.586171\pi\)
\(500\) −8.73863 + 15.1358i −0.390803 + 0.676891i
\(501\) −2.59770 + 0.0502530i −0.116057 + 0.00224514i
\(502\) −2.60437 + 4.51091i −0.116239 + 0.201332i
\(503\) 14.7358 + 25.5232i 0.657038 + 1.13802i 0.981379 + 0.192083i \(0.0615242\pi\)
−0.324341 + 0.945940i \(0.605142\pi\)
\(504\) 0.572216 + 0.908082i 0.0254885 + 0.0404492i
\(505\) −26.8900 −1.19659
\(506\) 1.35900 2.35386i 0.0604151 0.104642i
\(507\) 9.40895 17.0501i 0.417866 0.757221i
\(508\) −3.53559 −0.156866
\(509\) −8.95222 + 15.5057i −0.396800 + 0.687278i −0.993329 0.115314i \(-0.963213\pi\)
0.596529 + 0.802592i \(0.296546\pi\)
\(510\) −8.80260 14.5875i −0.389786 0.645944i
\(511\) −0.461426 0.799214i −0.0204123 0.0353552i
\(512\) 22.0823 0.975909
\(513\) −21.6120 6.77642i −0.954195 0.299186i
\(514\) 6.36470 0.280735
\(515\) 24.5639 + 42.5459i 1.08242 + 1.87480i
\(516\) −16.7343 27.7317i −0.736685 1.22082i
\(517\) −2.74583 + 4.75592i −0.120762 + 0.209165i
\(518\) 0.287708 0.0126412
\(519\) −18.7567 + 33.9893i −0.823328 + 1.49196i
\(520\) 3.37515 5.84593i 0.148010 0.256361i
\(521\) −27.8411 −1.21974 −0.609871 0.792501i \(-0.708779\pi\)
−0.609871 + 0.792501i \(0.708779\pi\)
\(522\) −4.58882 + 0.177610i −0.200847 + 0.00777377i
\(523\) −12.9624 22.4515i −0.566805 0.981735i −0.996879 0.0789417i \(-0.974846\pi\)
0.430074 0.902794i \(-0.358487\pi\)
\(524\) −2.82057 + 4.88537i −0.123217 + 0.213418i
\(525\) 3.30410 0.0639185i 0.144203 0.00278963i
\(526\) −3.61607 + 6.26321i −0.157668 + 0.273089i
\(527\) −64.5844 −2.81334
\(528\) −4.66295 7.72734i −0.202929 0.336289i
\(529\) 1.41352 + 2.44829i 0.0614573 + 0.106447i
\(530\) −0.335162 + 0.580517i −0.0145585 + 0.0252161i
\(531\) 14.6306 27.7688i 0.634913 1.20506i
\(532\) −0.326485 2.00107i −0.0141549 0.0867574i
\(533\) 3.67751 6.36964i 0.159291 0.275900i
\(534\) −5.15151 + 0.0996569i −0.222927 + 0.00431258i
\(535\) −42.7048 −1.84629
\(536\) −0.572549 + 0.991684i −0.0247304 + 0.0428342i
\(537\) 11.3769 + 18.8535i 0.490949 + 0.813590i
\(538\) 8.58948 0.370319
\(539\) −11.3196 −0.487571
\(540\) −15.4458 + 30.7437i −0.664682 + 1.32300i
\(541\) −12.3043 21.3116i −0.529001 0.916257i −0.999428 0.0338181i \(-0.989233\pi\)
0.470427 0.882439i \(-0.344100\pi\)
\(542\) 8.18831 0.351718
\(543\) 2.19517 3.97790i 0.0942038 0.170708i
\(544\) 15.1048 + 26.1622i 0.647611 + 1.12170i
\(545\) 27.1120 46.9593i 1.16135 2.01151i
\(546\) −0.212609 + 0.00411297i −0.00909885 + 0.000176019i
\(547\) 12.8871 0.551014 0.275507 0.961299i \(-0.411154\pi\)
0.275507 + 0.961299i \(0.411154\pi\)
\(548\) 3.96465 6.86697i 0.169361 0.293343i
\(549\) −5.79076 + 10.9908i −0.247143 + 0.469077i
\(550\) 4.62308 0.197129
\(551\) 16.8252 + 6.36895i 0.716776 + 0.271327i
\(552\) 11.1422 0.215548i 0.474243 0.00917432i
\(553\) 2.46137 0.104668
\(554\) −10.9777 −0.466399
\(555\) 9.88162 + 16.3756i 0.419451 + 0.695106i
\(556\) −16.0842 27.8586i −0.682121 1.18147i
\(557\) −11.8767 20.5710i −0.503231 0.871622i −0.999993 0.00373498i \(-0.998811\pi\)
0.496762 0.867887i \(-0.334522\pi\)
\(558\) −5.13546 8.14976i −0.217401 0.345007i
\(559\) 13.3080 0.562868
\(560\) −2.83563 −0.119827
\(561\) 10.1861 18.4584i 0.430058 0.779314i
\(562\) −5.34234 9.25321i −0.225353 0.390323i
\(563\) 13.3440 + 23.1125i 0.562383 + 0.974077i 0.997288 + 0.0735999i \(0.0234488\pi\)
−0.434904 + 0.900477i \(0.643218\pi\)
\(564\) −10.8554 + 0.209999i −0.457093 + 0.00884256i
\(565\) 5.20772 + 9.02003i 0.219090 + 0.379476i
\(566\) −2.97090 5.14574i −0.124876 0.216292i
\(567\) 2.24104 0.173738i 0.0941147 0.00729633i
\(568\) −8.02294 + 13.8961i −0.336635 + 0.583069i
\(569\) 6.57047 11.3804i 0.275448 0.477090i −0.694800 0.719203i \(-0.744507\pi\)
0.970248 + 0.242113i \(0.0778404\pi\)
\(570\) −7.58405 + 6.44877i −0.317661 + 0.270109i
\(571\) −1.08070 1.87182i −0.0452258 0.0783333i 0.842526 0.538655i \(-0.181067\pi\)
−0.887752 + 0.460322i \(0.847734\pi\)
\(572\) 4.02769 0.168406
\(573\) 5.90230 0.114181i 0.246572 0.00476999i
\(574\) 0.514024 0.0214550
\(575\) 17.1562 29.7154i 0.715463 1.23922i
\(576\) 6.83146 12.9661i 0.284644 0.540253i
\(577\) 4.53956 0.188985 0.0944923 0.995526i \(-0.469877\pi\)
0.0944923 + 0.995526i \(0.469877\pi\)
\(578\) −7.16772 + 12.4149i −0.298138 + 0.516390i
\(579\) −0.445438 0.738170i −0.0185118 0.0306773i
\(580\) 13.6640 23.6668i 0.567368 0.982710i
\(581\) 0.0462667 + 0.0801364i 0.00191947 + 0.00332462i
\(582\) 4.13084 0.0799120i 0.171229 0.00331246i
\(583\) −0.829462 −0.0343528
\(584\) 2.64668 4.58418i 0.109520 0.189695i
\(585\) −7.53639 11.9599i −0.311591 0.494483i
\(586\) −0.148496 + 0.257202i −0.00613430 + 0.0106249i
\(587\) −12.1339 21.0165i −0.500819 0.867444i −1.00000 0.000946197i \(-0.999699\pi\)
0.499180 0.866498i \(-0.333635\pi\)
\(588\) −11.5626 19.1613i −0.476834 0.790200i
\(589\) 6.07663 + 37.2444i 0.250383 + 1.53463i
\(590\) −6.89781 11.9474i −0.283978 0.491865i
\(591\) 2.36604 + 3.92094i 0.0973257 + 0.161286i
\(592\) −4.95960 8.59028i −0.203838 0.353058i
\(593\) 16.5350 + 28.6395i 0.679013 + 1.17608i 0.975279 + 0.220979i \(0.0709252\pi\)
−0.296266 + 0.955106i \(0.595741\pi\)
\(594\) 3.13918 0.182366i 0.128802 0.00748257i
\(595\) −3.31193 5.73644i −0.135776 0.235171i
\(596\) 1.71917 2.97769i 0.0704199 0.121971i
\(597\) 0.177932 0.322434i 0.00728229 0.0131963i
\(598\) −1.10395 + 1.91210i −0.0451440 + 0.0781917i
\(599\) 6.64241 11.5050i 0.271401 0.470081i −0.697820 0.716274i \(-0.745846\pi\)
0.969221 + 0.246193i \(0.0791796\pi\)
\(600\) 9.79343 + 16.2295i 0.399815 + 0.662565i
\(601\) −7.35146 + 12.7331i −0.299872 + 0.519394i −0.976106 0.217293i \(-0.930277\pi\)
0.676234 + 0.736687i \(0.263611\pi\)
\(602\) 0.465032 + 0.805459i 0.0189533 + 0.0328280i
\(603\) 1.27845 + 2.02884i 0.0520625 + 0.0826209i
\(604\) 10.4283 + 18.0623i 0.424321 + 0.734946i
\(605\) −14.8213 25.6712i −0.602571 1.04368i
\(606\) −2.34756 + 4.25405i −0.0953632 + 0.172809i
\(607\) −1.19304 2.06641i −0.0484241 0.0838729i 0.840797 0.541350i \(-0.182087\pi\)
−0.889221 + 0.457477i \(0.848753\pi\)
\(608\) 13.6660 11.1721i 0.554229 0.453090i
\(609\) −1.78504 + 0.0345320i −0.0723335 + 0.00139931i
\(610\) 2.73014 + 4.72874i 0.110540 + 0.191461i
\(611\) 2.23051 3.86336i 0.0902368 0.156295i
\(612\) 41.6502 1.61207i 1.68361 0.0651640i
\(613\) 2.16079 3.74260i 0.0872736 0.151162i −0.819084 0.573673i \(-0.805518\pi\)
0.906358 + 0.422511i \(0.138851\pi\)
\(614\) −1.70599 −0.0688482
\(615\) 17.6547 + 29.2570i 0.711906 + 1.17976i
\(616\) 0.291880 + 0.505552i 0.0117602 + 0.0203693i
\(617\) 4.80522 8.32289i 0.193451 0.335067i −0.752941 0.658088i \(-0.771365\pi\)
0.946392 + 0.323021i \(0.104699\pi\)
\(618\) 8.87535 0.171695i 0.357019 0.00690661i
\(619\) −1.79677 + 3.11209i −0.0722182 + 0.125086i −0.899873 0.436152i \(-0.856341\pi\)
0.827655 + 0.561237i \(0.189674\pi\)
\(620\) 57.3241 2.30219
\(621\) 10.4773 20.8542i 0.420438 0.836850i
\(622\) 6.08687 10.5428i 0.244061 0.422727i
\(623\) −2.00317 −0.0802554
\(624\) 3.78783 + 6.27712i 0.151635 + 0.251286i
\(625\) −4.83530 −0.193412
\(626\) 3.40988 + 5.90608i 0.136286 + 0.236055i
\(627\) −11.6029 4.13739i −0.463377 0.165231i
\(628\) 19.3425 33.5022i 0.771850 1.33688i
\(629\) 11.5853 20.0664i 0.461938 0.800100i
\(630\) 0.460518 0.874061i 0.0183475 0.0348234i
\(631\) 12.6319 + 21.8792i 0.502870 + 0.870996i 0.999994 + 0.00331669i \(0.00105574\pi\)
−0.497125 + 0.867679i \(0.665611\pi\)
\(632\) 7.05903 + 12.2266i 0.280793 + 0.486348i
\(633\) 7.62770 + 12.6405i 0.303174 + 0.502413i
\(634\) −0.251872 0.436254i −0.0100031 0.0173259i
\(635\) 3.37454 + 5.84487i 0.133915 + 0.231947i
\(636\) −0.847267 1.40407i −0.0335963 0.0556751i
\(637\) 9.19523 0.364328
\(638\) −2.49762 −0.0988818
\(639\) 17.9145 + 28.4295i 0.708686 + 1.12465i
\(640\) −17.6177 30.5148i −0.696402 1.20620i
\(641\) 11.6521 + 20.1821i 0.460231 + 0.797144i 0.998972 0.0453273i \(-0.0144331\pi\)
−0.538741 + 0.842472i \(0.681100\pi\)
\(642\) −3.72824 + 6.75599i −0.147142 + 0.266638i
\(643\) 17.2596 0.680651 0.340325 0.940308i \(-0.389463\pi\)
0.340325 + 0.940308i \(0.389463\pi\)
\(644\) 2.08918 0.0823251
\(645\) −29.8727 + 54.1328i −1.17624 + 2.13148i
\(646\) 11.2793 + 4.26963i 0.443777 + 0.167986i
\(647\) −35.6673 −1.40223 −0.701114 0.713049i \(-0.747314\pi\)
−0.701114 + 0.713049i \(0.747314\pi\)
\(648\) 7.29016 + 10.6338i 0.286384 + 0.417737i
\(649\) 8.53539 14.7837i 0.335043 0.580312i
\(650\) −3.75545 −0.147301
\(651\) −1.93490 3.20648i −0.0758348 0.125672i
\(652\) −5.04415 + 8.73673i −0.197544 + 0.342157i
\(653\) −8.46548 14.6626i −0.331280 0.573794i 0.651483 0.758663i \(-0.274147\pi\)
−0.982763 + 0.184869i \(0.940814\pi\)
\(654\) −5.06212 8.38883i −0.197944 0.328029i
\(655\) 10.7684 0.420754
\(656\) −8.86092 15.3476i −0.345961 0.599222i
\(657\) −5.90978 9.37858i −0.230563 0.365893i
\(658\) 0.311770 0.0121540
\(659\) −4.52365 −0.176216 −0.0881082 0.996111i \(-0.528082\pi\)
−0.0881082 + 0.996111i \(0.528082\pi\)
\(660\) −9.04103 + 16.3834i −0.351921 + 0.637722i
\(661\) −10.0400 + 17.3898i −0.390510 + 0.676384i −0.992517 0.122107i \(-0.961035\pi\)
0.602007 + 0.798491i \(0.294368\pi\)
\(662\) −6.22996 −0.242134
\(663\) −8.27444 + 14.9942i −0.321353 + 0.582328i
\(664\) −0.265379 + 0.459651i −0.0102987 + 0.0178379i
\(665\) −2.99646 + 2.44965i −0.116198 + 0.0949933i
\(666\) 3.45335 0.133661i 0.133815 0.00517928i
\(667\) −9.26864 + 16.0537i −0.358883 + 0.621604i
\(668\) −1.39689 2.41948i −0.0540473 0.0936127i
\(669\) −13.0575 + 23.6617i −0.504833 + 0.914816i
\(670\) 1.05401 0.0407201
\(671\) −3.37829 + 5.85137i −0.130417 + 0.225890i
\(672\) −0.846371 + 1.53372i −0.0326495 + 0.0591646i
\(673\) 8.72911 15.1193i 0.336482 0.582805i −0.647286 0.762247i \(-0.724096\pi\)
0.983768 + 0.179443i \(0.0574294\pi\)
\(674\) −6.77287 11.7310i −0.260881 0.451860i
\(675\) 39.6293 2.30221i 1.52533 0.0886121i
\(676\) 20.9399 0.805382
\(677\) −20.4904 + 35.4905i −0.787511 + 1.36401i 0.139976 + 0.990155i \(0.455297\pi\)
−0.927487 + 0.373854i \(0.878036\pi\)
\(678\) 1.88164 0.0364006i 0.0722638 0.00139796i
\(679\) 1.60629 0.0616436
\(680\) 18.9968 32.9034i 0.728493 1.26179i
\(681\) 2.06223 0.0398942i 0.0790248 0.00152875i
\(682\) −2.61954 4.53717i −0.100307 0.173737i
\(683\) 20.9461 0.801480 0.400740 0.916192i \(-0.368753\pi\)
0.400740 + 0.916192i \(0.368753\pi\)
\(684\) −4.84844 23.8671i −0.185385 0.912581i
\(685\) −15.1362 −0.578325
\(686\) 0.645521 + 1.11807i 0.0246461 + 0.0426883i
\(687\) −16.7110 + 30.2822i −0.637563 + 1.15534i
\(688\) 16.0327 27.7695i 0.611242 1.05870i
\(689\) 0.673794 0.0256695
\(690\) −5.29977 8.78266i −0.201759 0.334350i
\(691\) −10.5768 + 18.3195i −0.402359 + 0.696907i −0.994010 0.109288i \(-0.965143\pi\)
0.591651 + 0.806194i \(0.298476\pi\)
\(692\) −41.7437 −1.58686
\(693\) 1.22159 0.0472815i 0.0464043 0.00179608i
\(694\) 1.88242 + 3.26044i 0.0714556 + 0.123765i
\(695\) −30.7031 + 53.1793i −1.16463 + 2.01720i
\(696\) −5.29090 8.76797i −0.200551 0.332349i
\(697\) 20.6986 35.8510i 0.784015 1.35795i
\(698\) −6.40610 −0.242475
\(699\) −21.4191 + 0.414357i −0.810144 + 0.0156724i
\(700\) 1.77675 + 3.07742i 0.0671548 + 0.116316i
\(701\) −1.32346 + 2.29231i −0.0499865 + 0.0865792i −0.889936 0.456085i \(-0.849251\pi\)
0.839950 + 0.542665i \(0.182585\pi\)
\(702\) −2.55003 + 0.148141i −0.0962448 + 0.00559121i
\(703\) −12.6619 4.79300i −0.477552 0.180771i
\(704\) 3.98543 6.90297i 0.150207 0.260165i
\(705\) 10.7081 + 17.7452i 0.403289 + 0.668321i
\(706\) 6.26920 0.235944
\(707\) −0.944501 + 1.63592i −0.0355216 + 0.0615252i
\(708\) 33.7438 0.652780i 1.26817 0.0245330i
\(709\) 26.8452 1.00819 0.504097 0.863647i \(-0.331825\pi\)
0.504097 + 0.863647i \(0.331825\pi\)
\(710\) 14.7695 0.554291
\(711\) 29.5437 1.14349i 1.10798 0.0428841i
\(712\) −5.74496 9.95056i −0.215301 0.372913i
\(713\) −38.8843 −1.45623
\(714\) −1.19666 + 0.0231496i −0.0447838 + 0.000866351i
\(715\) −3.84422 6.65839i −0.143766 0.249010i
\(716\) −11.8390 + 20.5057i −0.442442 + 0.766333i
\(717\) 13.5843 24.6163i 0.507314 0.919312i
\(718\) −2.83914 −0.105956
\(719\) 1.94193 3.36352i 0.0724217 0.125438i −0.827540 0.561406i \(-0.810261\pi\)
0.899962 + 0.435968i \(0.143594\pi\)
\(720\) −34.0360 + 1.31736i −1.26845 + 0.0490950i
\(721\) 3.45120 0.128529
\(722\) 1.40095 6.90623i 0.0521381 0.257023i
\(723\) −9.38451 15.5518i −0.349014 0.578378i
\(724\) 4.88543 0.181566
\(725\) −31.5302 −1.17100
\(726\) −5.35518 + 0.103597i −0.198749 + 0.00384485i
\(727\) 26.1519 + 45.2965i 0.969922 + 1.67995i 0.695766 + 0.718269i \(0.255065\pi\)
0.274156 + 0.961685i \(0.411602\pi\)
\(728\) −0.237102 0.410673i −0.00878758 0.0152205i
\(729\) 26.8184 3.12650i 0.993273 0.115796i
\(730\) −4.87230 −0.180332
\(731\) 74.9031 2.77039
\(732\) −13.3557 + 0.258369i −0.493642 + 0.00954960i
\(733\) 3.06517 + 5.30902i 0.113215 + 0.196093i 0.917065 0.398739i \(-0.130552\pi\)
−0.803850 + 0.594832i \(0.797219\pi\)
\(734\) 4.59485 + 7.95852i 0.169599 + 0.293754i
\(735\) −20.6407 + 37.4033i −0.761343 + 1.37964i
\(736\) 9.09410 + 15.7515i 0.335213 + 0.580606i
\(737\) 0.652121 + 1.12951i 0.0240212 + 0.0416059i
\(738\) 6.16982 0.238802i 0.227114 0.00879043i
\(739\) −6.68714 + 11.5825i −0.245990 + 0.426068i −0.962410 0.271602i \(-0.912447\pi\)
0.716419 + 0.697670i \(0.245780\pi\)
\(740\) −10.2830 + 17.8106i −0.378009 + 0.654731i
\(741\) 9.42537 + 3.36091i 0.346250 + 0.123466i
\(742\) 0.0235449 + 0.0407809i 0.000864360 + 0.00149712i
\(743\) −2.74391 −0.100664 −0.0503321 0.998733i \(-0.516028\pi\)
−0.0503321 + 0.998733i \(0.516028\pi\)
\(744\) 10.3787 18.8074i 0.380502 0.689512i
\(745\) −6.56344 −0.240466
\(746\) 4.29724 7.44304i 0.157333 0.272509i
\(747\) 0.592568 + 0.940380i 0.0216809 + 0.0344067i
\(748\) 22.6696 0.828881
\(749\) −1.49999 + 2.59806i −0.0548085 + 0.0949311i
\(750\) 2.91261 5.27799i 0.106354 0.192725i
\(751\) 10.4736 18.1408i 0.382187 0.661967i −0.609188 0.793026i \(-0.708504\pi\)
0.991375 + 0.131059i \(0.0418377\pi\)
\(752\) −5.37439 9.30871i −0.195984 0.339454i
\(753\) −11.7527 + 21.2972i −0.428292 + 0.776114i
\(754\) 2.02888 0.0738875
\(755\) 19.9065 34.4791i 0.724473 1.25482i
\(756\) 1.32785 + 2.01955i 0.0482933 + 0.0734503i
\(757\) 3.65990 6.33913i 0.133021 0.230400i −0.791819 0.610756i \(-0.790865\pi\)
0.924840 + 0.380357i \(0.124199\pi\)
\(758\) −5.39274 9.34049i −0.195873 0.339262i
\(759\) 6.13274 11.1132i 0.222604 0.403385i
\(760\) −20.7620 7.85920i −0.753118 0.285083i
\(761\) 6.05266 + 10.4835i 0.219409 + 0.380027i 0.954627 0.297803i \(-0.0962539\pi\)
−0.735219 + 0.677830i \(0.762921\pi\)
\(762\) 1.21928 0.0235872i 0.0441698 0.000854473i
\(763\) −1.90460 3.29886i −0.0689510 0.119427i
\(764\) 3.17391 + 5.49737i 0.114828 + 0.198888i
\(765\) −42.4180 67.3156i −1.53363 2.43380i
\(766\) 0.524540 + 0.908530i 0.0189524 + 0.0328265i
\(767\) −6.93352 + 12.0092i −0.250355 + 0.433627i
\(768\) 10.5541 0.204172i 0.380839 0.00736741i
\(769\) 14.4830 25.0852i 0.522269 0.904597i −0.477395 0.878689i \(-0.658419\pi\)
0.999664 0.0259081i \(-0.00824772\pi\)
\(770\) 0.268663 0.465339i 0.00968195 0.0167696i
\(771\) 29.7176 0.574893i 1.07025 0.0207043i
\(772\) 0.463529 0.802856i 0.0166828 0.0288954i
\(773\) 21.7876 + 37.7372i 0.783645 + 1.35731i 0.929805 + 0.368052i \(0.119975\pi\)
−0.146160 + 0.989261i \(0.546691\pi\)
\(774\) 5.95596 + 9.45185i