Properties

Label 546.2.ch.a.305.20
Level $546$
Weight $2$
Character 546.305
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 305.20
Character \(\chi\) \(=\) 546.305
Dual form 546.2.ch.a.401.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(-1.73205 - 0.00254284i) q^{3} +1.00000i q^{4} +(-0.852470 + 3.18146i) q^{5} +(-1.22295 - 1.22654i) q^{6} +(2.55679 - 0.680305i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.99999 + 0.00880865i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(-1.73205 - 0.00254284i) q^{3} +1.00000i q^{4} +(-0.852470 + 3.18146i) q^{5} +(-1.22295 - 1.22654i) q^{6} +(2.55679 - 0.680305i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.99999 + 0.00880865i) q^{9} +(-2.85242 + 1.64685i) q^{10} +(4.19511 + 1.12408i) q^{11} +(0.00254284 - 1.73205i) q^{12} +(-3.59872 + 0.221835i) q^{13} +(2.28897 + 1.32688i) q^{14} +(1.48461 - 5.50828i) q^{15} -1.00000 q^{16} -5.29539 q^{17} +(2.11508 + 2.12754i) q^{18} +(1.57626 + 5.88267i) q^{19} +(-3.18146 - 0.852470i) q^{20} +(-4.43022 + 1.17182i) q^{21} +(2.17155 + 3.76124i) q^{22} -8.97313 q^{23} +(1.22654 - 1.22295i) q^{24} +(-5.06487 - 2.92420i) q^{25} +(-2.70154 - 2.38782i) q^{26} +(-5.19610 - 0.0228855i) q^{27} +(0.680305 + 2.55679i) q^{28} +(2.35873 + 1.36181i) q^{29} +(4.94472 - 2.84516i) q^{30} +(-0.298174 - 1.11280i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-7.26328 - 1.95762i) q^{33} +(-3.74441 - 3.74441i) q^{34} +(-0.0152231 + 8.71427i) q^{35} +(-0.00880865 + 2.99999i) q^{36} +(1.48834 + 1.48834i) q^{37} +(-3.04509 + 5.27425i) q^{38} +(6.23372 - 0.375078i) q^{39} +(-1.64685 - 2.85242i) q^{40} +(8.93434 - 2.39395i) q^{41} +(-3.96124 - 2.30404i) q^{42} +(-2.42543 + 1.40032i) q^{43} +(-1.12408 + 4.19511i) q^{44} +(-2.58542 + 9.53683i) q^{45} +(-6.34496 - 6.34496i) q^{46} +(4.19035 + 1.12280i) q^{47} +(1.73205 + 0.00254284i) q^{48} +(6.07437 - 3.47880i) q^{49} +(-1.51368 - 5.64912i) q^{50} +(9.17188 + 0.0134653i) q^{51} +(-0.221835 - 3.59872i) q^{52} +(-4.94841 - 2.85697i) q^{53} +(-3.65802 - 3.69038i) q^{54} +(-7.15242 + 12.3884i) q^{55} +(-1.32688 + 2.28897i) q^{56} +(-2.71519 - 10.1931i) q^{57} +(0.704925 + 2.63082i) q^{58} +(-0.571327 + 0.571327i) q^{59} +(5.50828 + 1.48461i) q^{60} +(1.18591 - 2.05406i) q^{61} +(0.576029 - 0.997711i) q^{62} +(7.67634 - 2.01839i) q^{63} -1.00000i q^{64} +(2.36204 - 11.6383i) q^{65} +(-3.75167 - 6.52017i) q^{66} +(9.45859 + 2.53442i) q^{67} -5.29539i q^{68} +(15.5419 + 0.0228172i) q^{69} +(-6.17269 + 6.15116i) q^{70} +(-2.23789 + 8.35193i) q^{71} +(-2.12754 + 2.11508i) q^{72} +(-1.45899 + 0.390935i) q^{73} +2.10482i q^{74} +(8.76516 + 5.07774i) q^{75} +(-5.88267 + 1.57626i) q^{76} +(11.4907 + 0.0200734i) q^{77} +(4.67313 + 4.14269i) q^{78} +(-0.257500 - 0.446002i) q^{79} +(0.852470 - 3.18146i) q^{80} +(8.99984 + 0.0528517i) q^{81} +(8.01031 + 4.62476i) q^{82} +(4.56024 + 4.56024i) q^{83} +(-1.17182 - 4.43022i) q^{84} +(4.51416 - 16.8471i) q^{85} +(-2.70522 - 0.724860i) q^{86} +(-4.08197 - 2.36472i) q^{87} +(-3.76124 + 2.17155i) q^{88} +(-1.56283 + 1.56283i) q^{89} +(-8.57173 + 4.91539i) q^{90} +(-9.05026 + 3.01542i) q^{91} -8.97313i q^{92} +(0.513623 + 1.92819i) q^{93} +(2.16909 + 3.75697i) q^{94} -20.0592 q^{95} +(1.22295 + 1.22654i) q^{96} +(2.82483 + 0.756910i) q^{97} +(6.75511 + 1.83535i) q^{98} +(12.5754 + 3.40917i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 8q^{7} + O(q^{10}) \) \( 152q + 8q^{7} - 152q^{16} - 8q^{18} + 36q^{19} + 8q^{21} + 24q^{27} - 12q^{28} - 24q^{30} - 36q^{31} + 12q^{33} + 24q^{36} - 12q^{37} - 8q^{39} - 36q^{42} + 84q^{43} - 40q^{45} + 8q^{46} + 4q^{49} - 20q^{52} - 12q^{54} + 16q^{55} - 8q^{57} + 8q^{58} + 24q^{60} - 32q^{61} - 28q^{63} + 16q^{66} + 92q^{67} + 84q^{69} - 8q^{72} + 84q^{73} - 48q^{76} - 8q^{78} + 32q^{79} - 24q^{81} - 48q^{82} - 8q^{84} - 152q^{85} - 96q^{87} - 88q^{91} - 48q^{93} + 32q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 + 0.707107i 0.500000 + 0.500000i
\(3\) −1.73205 0.00254284i −0.999999 0.00146811i
\(4\) 1.00000i 0.500000i
\(5\) −0.852470 + 3.18146i −0.381236 + 1.42279i 0.462779 + 0.886474i \(0.346852\pi\)
−0.844015 + 0.536319i \(0.819814\pi\)
\(6\) −1.22295 1.22654i −0.499265 0.500734i
\(7\) 2.55679 0.680305i 0.966376 0.257131i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 2.99999 + 0.00880865i 0.999996 + 0.00293622i
\(10\) −2.85242 + 1.64685i −0.902015 + 0.520778i
\(11\) 4.19511 + 1.12408i 1.26487 + 0.338922i 0.828065 0.560632i \(-0.189442\pi\)
0.436809 + 0.899554i \(0.356108\pi\)
\(12\) 0.00254284 1.73205i 0.000734055 0.499999i
\(13\) −3.59872 + 0.221835i −0.998105 + 0.0615260i
\(14\) 2.28897 + 1.32688i 0.611754 + 0.354623i
\(15\) 1.48461 5.50828i 0.383325 1.42223i
\(16\) −1.00000 −0.250000
\(17\) −5.29539 −1.28432 −0.642161 0.766570i \(-0.721962\pi\)
−0.642161 + 0.766570i \(0.721962\pi\)
\(18\) 2.11508 + 2.12754i 0.498530 + 0.501466i
\(19\) 1.57626 + 5.88267i 0.361618 + 1.34958i 0.871948 + 0.489598i \(0.162856\pi\)
−0.510330 + 0.859978i \(0.670477\pi\)
\(20\) −3.18146 0.852470i −0.711396 0.190618i
\(21\) −4.43022 + 1.17182i −0.966753 + 0.255712i
\(22\) 2.17155 + 3.76124i 0.462976 + 0.801898i
\(23\) −8.97313 −1.87103 −0.935513 0.353292i \(-0.885062\pi\)
−0.935513 + 0.353292i \(0.885062\pi\)
\(24\) 1.22654 1.22295i 0.250367 0.249633i
\(25\) −5.06487 2.92420i −1.01297 0.584840i
\(26\) −2.70154 2.38782i −0.529816 0.468290i
\(27\) −5.19610 0.0228855i −0.999990 0.00440432i
\(28\) 0.680305 + 2.55679i 0.128566 + 0.483188i
\(29\) 2.35873 + 1.36181i 0.438004 + 0.252882i 0.702751 0.711436i \(-0.251955\pi\)
−0.264746 + 0.964318i \(0.585288\pi\)
\(30\) 4.94472 2.84516i 0.902778 0.519454i
\(31\) −0.298174 1.11280i −0.0535537 0.199865i 0.933966 0.357363i \(-0.116324\pi\)
−0.987519 + 0.157498i \(0.949657\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) −7.26328 1.95762i −1.26438 0.340779i
\(34\) −3.74441 3.74441i −0.642161 0.642161i
\(35\) −0.0152231 + 8.71427i −0.00257318 + 1.47298i
\(36\) −0.00880865 + 2.99999i −0.00146811 + 0.499998i
\(37\) 1.48834 + 1.48834i 0.244681 + 0.244681i 0.818783 0.574103i \(-0.194649\pi\)
−0.574103 + 0.818783i \(0.694649\pi\)
\(38\) −3.04509 + 5.27425i −0.493979 + 0.855597i
\(39\) 6.23372 0.375078i 0.998195 0.0600606i
\(40\) −1.64685 2.85242i −0.260389 0.451007i
\(41\) 8.93434 2.39395i 1.39531 0.373872i 0.518652 0.854986i \(-0.326434\pi\)
0.876658 + 0.481113i \(0.159767\pi\)
\(42\) −3.96124 2.30404i −0.611233 0.355520i
\(43\) −2.42543 + 1.40032i −0.369875 + 0.213547i −0.673404 0.739275i \(-0.735168\pi\)
0.303529 + 0.952822i \(0.401835\pi\)
\(44\) −1.12408 + 4.19511i −0.169461 + 0.632437i
\(45\) −2.58542 + 9.53683i −0.385412 + 1.42167i
\(46\) −6.34496 6.34496i −0.935513 0.935513i
\(47\) 4.19035 + 1.12280i 0.611226 + 0.163778i 0.551136 0.834415i \(-0.314195\pi\)
0.0600900 + 0.998193i \(0.480861\pi\)
\(48\) 1.73205 + 0.00254284i 0.250000 + 0.000367027i
\(49\) 6.07437 3.47880i 0.867767 0.496971i
\(50\) −1.51368 5.64912i −0.214066 0.798907i
\(51\) 9.17188 + 0.0134653i 1.28432 + 0.00188553i
\(52\) −0.221835 3.59872i −0.0307630 0.499053i
\(53\) −4.94841 2.85697i −0.679717 0.392435i 0.120032 0.992770i \(-0.461700\pi\)
−0.799748 + 0.600335i \(0.795034\pi\)
\(54\) −3.65802 3.69038i −0.497793 0.502197i
\(55\) −7.15242 + 12.3884i −0.964432 + 1.67044i
\(56\) −1.32688 + 2.28897i −0.177311 + 0.305877i
\(57\) −2.71519 10.1931i −0.359636 1.35011i
\(58\) 0.704925 + 2.63082i 0.0925612 + 0.345443i
\(59\) −0.571327 + 0.571327i −0.0743805 + 0.0743805i −0.743318 0.668938i \(-0.766749\pi\)
0.668938 + 0.743318i \(0.266749\pi\)
\(60\) 5.50828 + 1.48461i 0.711116 + 0.191662i
\(61\) 1.18591 2.05406i 0.151840 0.262995i −0.780064 0.625700i \(-0.784813\pi\)
0.931904 + 0.362705i \(0.118147\pi\)
\(62\) 0.576029 0.997711i 0.0731557 0.126709i
\(63\) 7.67634 2.01839i 0.967127 0.254293i
\(64\) 1.00000i 0.125000i
\(65\) 2.36204 11.6383i 0.292975 1.44355i
\(66\) −3.75167 6.52017i −0.461798 0.802577i
\(67\) 9.45859 + 2.53442i 1.15555 + 0.309629i 0.785188 0.619258i \(-0.212566\pi\)
0.370364 + 0.928887i \(0.379233\pi\)
\(68\) 5.29539i 0.642161i
\(69\) 15.5419 + 0.0228172i 1.87102 + 0.00274687i
\(70\) −6.17269 + 6.15116i −0.737777 + 0.735204i
\(71\) −2.23789 + 8.35193i −0.265589 + 0.991192i 0.696300 + 0.717751i \(0.254829\pi\)
−0.961889 + 0.273441i \(0.911838\pi\)
\(72\) −2.12754 + 2.11508i −0.250733 + 0.249265i
\(73\) −1.45899 + 0.390935i −0.170762 + 0.0457555i −0.343187 0.939267i \(-0.611506\pi\)
0.172425 + 0.985023i \(0.444840\pi\)
\(74\) 2.10482i 0.244681i
\(75\) 8.76516 + 5.07774i 1.01211 + 0.586327i
\(76\) −5.88267 + 1.57626i −0.674788 + 0.180809i
\(77\) 11.4907 + 0.0200734i 1.30949 + 0.00228758i
\(78\) 4.67313 + 4.14269i 0.529128 + 0.469067i
\(79\) −0.257500 0.446002i −0.0289710 0.0501792i 0.851176 0.524880i \(-0.175890\pi\)
−0.880147 + 0.474701i \(0.842556\pi\)
\(80\) 0.852470 3.18146i 0.0953090 0.355698i
\(81\) 8.99984 + 0.0528517i 0.999983 + 0.00587241i
\(82\) 8.01031 + 4.62476i 0.884591 + 0.510719i
\(83\) 4.56024 + 4.56024i 0.500551 + 0.500551i 0.911609 0.411058i \(-0.134841\pi\)
−0.411058 + 0.911609i \(0.634841\pi\)
\(84\) −1.17182 4.43022i −0.127856 0.483376i
\(85\) 4.51416 16.8471i 0.489630 1.82732i
\(86\) −2.70522 0.724860i −0.291711 0.0781637i
\(87\) −4.08197 2.36472i −0.437633 0.253525i
\(88\) −3.76124 + 2.17155i −0.400949 + 0.231488i
\(89\) −1.56283 + 1.56283i −0.165660 + 0.165660i −0.785069 0.619409i \(-0.787372\pi\)
0.619409 + 0.785069i \(0.287372\pi\)
\(90\) −8.57173 + 4.91539i −0.903540 + 0.518128i
\(91\) −9.05026 + 3.01542i −0.948725 + 0.316101i
\(92\) 8.97313i 0.935513i
\(93\) 0.513623 + 1.92819i 0.0532602 + 0.199943i
\(94\) 2.16909 + 3.75697i 0.223724 + 0.387502i
\(95\) −20.0592 −2.05803
\(96\) 1.22295 + 1.22654i 0.124816 + 0.125183i
\(97\) 2.82483 + 0.756910i 0.286818 + 0.0768525i 0.399359 0.916794i \(-0.369233\pi\)
−0.112542 + 0.993647i \(0.535899\pi\)
\(98\) 6.75511 + 1.83535i 0.682369 + 0.185398i
\(99\) 12.5754 + 3.40917i 1.26387 + 0.342635i
\(100\) 2.92420 5.06487i 0.292420 0.506487i
\(101\) −4.83780 8.37932i −0.481379 0.833774i 0.518392 0.855143i \(-0.326531\pi\)
−0.999772 + 0.0213693i \(0.993197\pi\)
\(102\) 6.47598 + 6.49502i 0.641217 + 0.643103i
\(103\) 10.7642 6.21469i 1.06062 0.612351i 0.135019 0.990843i \(-0.456891\pi\)
0.925605 + 0.378492i \(0.123557\pi\)
\(104\) 2.38782 2.70154i 0.234145 0.264908i
\(105\) 0.0485262 15.0935i 0.00473568 1.47298i
\(106\) −1.47888 5.51924i −0.143641 0.536076i
\(107\) 7.39350i 0.714757i 0.933960 + 0.357378i \(0.116329\pi\)
−0.933960 + 0.357378i \(0.883671\pi\)
\(108\) 0.0228855 5.19610i 0.00220216 0.499995i
\(109\) −1.10760 4.13363i −0.106089 0.395930i 0.892377 0.451290i \(-0.149036\pi\)
−0.998466 + 0.0553599i \(0.982369\pi\)
\(110\) −13.8174 + 3.70236i −1.31744 + 0.353007i
\(111\) −2.57408 2.58165i −0.244321 0.245040i
\(112\) −2.55679 + 0.680305i −0.241594 + 0.0642828i
\(113\) 2.49592 1.44102i 0.234797 0.135560i −0.377986 0.925811i \(-0.623383\pi\)
0.612783 + 0.790251i \(0.290050\pi\)
\(114\) 5.28766 9.12752i 0.495235 0.854871i
\(115\) 7.64932 28.5477i 0.713303 2.66208i
\(116\) −1.36181 + 2.35873i −0.126441 + 0.219002i
\(117\) −10.7981 + 0.633803i −0.998282 + 0.0585951i
\(118\) −0.807979 −0.0743805
\(119\) −13.5392 + 3.60248i −1.24114 + 0.330239i
\(120\) 2.84516 + 4.94472i 0.259727 + 0.451389i
\(121\) 6.80915 + 3.93126i 0.619014 + 0.357388i
\(122\) 2.29100 0.613873i 0.207418 0.0555774i
\(123\) −15.4808 + 4.12372i −1.39586 + 0.371823i
\(124\) 1.11280 0.298174i 0.0999325 0.0267768i
\(125\) 1.97592 1.97592i 0.176732 0.176732i
\(126\) 6.85520 + 4.00077i 0.610710 + 0.356417i
\(127\) 8.22861 + 4.75079i 0.730171 + 0.421565i 0.818485 0.574528i \(-0.194814\pi\)
−0.0883135 + 0.996093i \(0.528148\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) 4.20452 2.41926i 0.370188 0.213004i
\(130\) 9.89974 6.55930i 0.868264 0.575289i
\(131\) −4.69605 + 2.71126i −0.410295 + 0.236884i −0.690917 0.722934i \(-0.742793\pi\)
0.280621 + 0.959819i \(0.409460\pi\)
\(132\) 1.95762 7.26328i 0.170389 0.632188i
\(133\) 8.03217 + 13.9684i 0.696477 + 1.21122i
\(134\) 4.89613 + 8.48034i 0.422961 + 0.732590i
\(135\) 4.50233 16.5117i 0.387499 1.42110i
\(136\) 3.74441 3.74441i 0.321080 0.321080i
\(137\) −1.66912 + 1.66912i −0.142602 + 0.142602i −0.774804 0.632202i \(-0.782151\pi\)
0.632202 + 0.774804i \(0.282151\pi\)
\(138\) 10.9736 + 11.0059i 0.934139 + 0.936886i
\(139\) 6.99492 + 12.1156i 0.593302 + 1.02763i 0.993784 + 0.111324i \(0.0355092\pi\)
−0.400483 + 0.916304i \(0.631157\pi\)
\(140\) −8.71427 0.0152231i −0.736491 0.00128659i
\(141\) −7.25504 1.95540i −0.610985 0.164675i
\(142\) −7.48814 + 4.32328i −0.628391 + 0.362802i
\(143\) −15.3464 3.11462i −1.28333 0.260457i
\(144\) −2.99999 0.00880865i −0.249999 0.000734054i
\(145\) −6.34329 + 6.34329i −0.526782 + 0.526782i
\(146\) −1.30809 0.755228i −0.108259 0.0625031i
\(147\) −10.5300 + 6.01000i −0.868496 + 0.495697i
\(148\) −1.48834 + 1.48834i −0.122340 + 0.122340i
\(149\) 18.3242 4.90995i 1.50118 0.402239i 0.587682 0.809092i \(-0.300041\pi\)
0.913493 + 0.406853i \(0.133374\pi\)
\(150\) 2.60740 + 9.78841i 0.212893 + 0.799220i
\(151\) 2.63524 0.706111i 0.214453 0.0574625i −0.149993 0.988687i \(-0.547925\pi\)
0.364446 + 0.931225i \(0.381258\pi\)
\(152\) −5.27425 3.04509i −0.427799 0.246990i
\(153\) −15.8861 0.0466453i −1.28432 0.00377105i
\(154\) 8.11099 + 8.13938i 0.653602 + 0.655890i
\(155\) 3.79452 0.304783
\(156\) 0.375078 + 6.23372i 0.0300303 + 0.499097i
\(157\) 1.70045 2.94527i 0.135711 0.235058i −0.790158 0.612903i \(-0.790001\pi\)
0.925869 + 0.377845i \(0.123335\pi\)
\(158\) 0.133292 0.497451i 0.0106041 0.0395751i
\(159\) 8.56363 + 4.96099i 0.679140 + 0.393432i
\(160\) 2.85242 1.64685i 0.225504 0.130195i
\(161\) −22.9424 + 6.10447i −1.80812 + 0.481099i
\(162\) 6.32648 + 6.40122i 0.497055 + 0.502928i
\(163\) 24.4839 6.56044i 1.91773 0.513853i 0.927621 0.373522i \(-0.121850\pi\)
0.990105 0.140331i \(-0.0448168\pi\)
\(164\) 2.39395 + 8.93434i 0.186936 + 0.697655i
\(165\) 12.4198 21.4390i 0.966883 1.66903i
\(166\) 6.44915i 0.500551i
\(167\) 1.41135 + 5.26722i 0.109213 + 0.407590i 0.998789 0.0491979i \(-0.0156665\pi\)
−0.889576 + 0.456788i \(0.849000\pi\)
\(168\) 2.30404 3.96124i 0.177760 0.305616i
\(169\) 12.9016 1.59665i 0.992429 0.122819i
\(170\) 15.1047 8.72070i 1.15848 0.668847i
\(171\) 4.67693 + 17.6618i 0.357654 + 1.35063i
\(172\) −1.40032 2.42543i −0.106774 0.184937i
\(173\) 6.88988 11.9336i 0.523828 0.907297i −0.475787 0.879560i \(-0.657837\pi\)
0.999615 0.0277364i \(-0.00882989\pi\)
\(174\) −1.21428 4.55850i −0.0920540 0.345579i
\(175\) −14.9392 4.03092i −1.12929 0.304709i
\(176\) −4.19511 1.12408i −0.316219 0.0847305i
\(177\) 0.991019 0.988114i 0.0744896 0.0742712i
\(178\) −2.21018 −0.165660
\(179\) 4.44678 + 7.70206i 0.332368 + 0.575679i 0.982976 0.183736i \(-0.0588190\pi\)
−0.650607 + 0.759414i \(0.725486\pi\)
\(180\) −9.53683 2.58542i −0.710834 0.192706i
\(181\) 20.2657i 1.50634i 0.657826 + 0.753170i \(0.271476\pi\)
−0.657826 + 0.753170i \(0.728524\pi\)
\(182\) −8.53172 4.26728i −0.632413 0.316312i
\(183\) −2.05928 + 3.55471i −0.152226 + 0.262772i
\(184\) 6.34496 6.34496i 0.467757 0.467757i
\(185\) −6.00384 + 3.46632i −0.441411 + 0.254849i
\(186\) −1.00025 + 1.72662i −0.0733416 + 0.126602i
\(187\) −22.2148 5.95243i −1.62451 0.435285i
\(188\) −1.12280 + 4.19035i −0.0818888 + 0.305613i
\(189\) −13.3009 + 3.47642i −0.967500 + 0.252873i
\(190\) −14.1840 14.1840i −1.02901 1.02901i
\(191\) −13.9580 8.05867i −1.00997 0.583105i −0.0987856 0.995109i \(-0.531496\pi\)
−0.911182 + 0.412004i \(0.864829\pi\)
\(192\) −0.00254284 + 1.73205i −0.000183514 + 0.125000i
\(193\) −5.88842 + 21.9759i −0.423857 + 1.58186i 0.342548 + 0.939500i \(0.388710\pi\)
−0.766405 + 0.642357i \(0.777957\pi\)
\(194\) 1.46224 + 2.53267i 0.104983 + 0.181835i
\(195\) −4.12077 + 20.1521i −0.295094 + 1.44312i
\(196\) 3.47880 + 6.07437i 0.248486 + 0.433884i
\(197\) 24.8603 6.66131i 1.77123 0.474598i 0.782286 0.622919i \(-0.214053\pi\)
0.988939 + 0.148321i \(0.0473867\pi\)
\(198\) 6.48149 + 11.3028i 0.460620 + 0.803254i
\(199\) 16.6668i 1.18148i −0.806863 0.590739i \(-0.798836\pi\)
0.806863 0.590739i \(-0.201164\pi\)
\(200\) 5.64912 1.51368i 0.399453 0.107033i
\(201\) −16.3763 4.41380i −1.15510 0.311325i
\(202\) 2.50423 9.34592i 0.176197 0.657577i
\(203\) 6.95722 + 1.87721i 0.488301 + 0.131755i
\(204\) −0.0134653 + 9.17188i −0.000942763 + 0.642160i
\(205\) 30.4650i 2.12777i
\(206\) 12.0059 + 3.21696i 0.836487 + 0.224136i
\(207\) −26.9193 0.0790411i −1.87102 0.00549374i
\(208\) 3.59872 0.221835i 0.249526 0.0153815i
\(209\) 26.4503i 1.82960i
\(210\) 10.7070 10.6384i 0.738856 0.734120i
\(211\) −4.52546 + 7.83833i −0.311546 + 0.539613i −0.978697 0.205309i \(-0.934180\pi\)
0.667152 + 0.744922i \(0.267513\pi\)
\(212\) 2.85697 4.94841i 0.196217 0.339858i
\(213\) 3.89738 14.4603i 0.267044 0.990801i
\(214\) −5.22799 + 5.22799i −0.357378 + 0.357378i
\(215\) −2.38747 8.91014i −0.162824 0.607667i
\(216\) 3.69038 3.65802i 0.251099 0.248896i
\(217\) −1.51941 2.64235i −0.103145 0.179375i
\(218\) 2.13973 3.70611i 0.144921 0.251010i
\(219\) 2.52803 0.673408i 0.170829 0.0455047i
\(220\) −12.3884 7.15242i −0.835222 0.482216i
\(221\) 19.0566 1.17470i 1.28189 0.0790192i
\(222\) 0.00535223 3.64566i 0.000359218 0.244681i
\(223\) 2.18761 + 8.16427i 0.146493 + 0.546720i 0.999684 + 0.0251219i \(0.00799738\pi\)
−0.853191 + 0.521598i \(0.825336\pi\)
\(224\) −2.28897 1.32688i −0.152938 0.0886557i
\(225\) −15.1688 8.81718i −1.01125 0.587812i
\(226\) 2.78384 + 0.745928i 0.185178 + 0.0496184i
\(227\) 16.8243 + 16.8243i 1.11667 + 1.11667i 0.992227 + 0.124442i \(0.0397142\pi\)
0.124442 + 0.992227i \(0.460286\pi\)
\(228\) 10.1931 2.71519i 0.675053 0.179818i
\(229\) 6.11927 22.8374i 0.404373 1.50914i −0.400836 0.916150i \(-0.631280\pi\)
0.805209 0.592991i \(-0.202053\pi\)
\(230\) 25.5951 14.7774i 1.68769 0.974390i
\(231\) −19.9025 0.0639873i −1.30949 0.00421006i
\(232\) −2.63082 + 0.704925i −0.172722 + 0.0462806i
\(233\) −14.1393 24.4900i −0.926298 1.60440i −0.789460 0.613802i \(-0.789639\pi\)
−0.136838 0.990593i \(-0.543694\pi\)
\(234\) −8.08355 7.18722i −0.528438 0.469843i
\(235\) −7.14430 + 12.3743i −0.466043 + 0.807210i
\(236\) −0.571327 0.571327i −0.0371902 0.0371902i
\(237\) 0.444868 + 0.773153i 0.0288973 + 0.0502217i
\(238\) −12.1210 7.02633i −0.785689 0.455449i
\(239\) −12.9200 12.9200i −0.835723 0.835723i 0.152569 0.988293i \(-0.451245\pi\)
−0.988293 + 0.152569i \(0.951245\pi\)
\(240\) −1.48461 + 5.50828i −0.0958312 + 0.355558i
\(241\) −12.3866 12.3866i −0.797893 0.797893i 0.184870 0.982763i \(-0.440814\pi\)
−0.982763 + 0.184870i \(0.940814\pi\)
\(242\) 2.03497 + 7.59462i 0.130813 + 0.488201i
\(243\) −15.5880 0.114427i −0.999973 0.00734049i
\(244\) 2.05406 + 1.18591i 0.131498 + 0.0759202i
\(245\) 5.88945 + 22.2909i 0.376263 + 1.42412i
\(246\) −13.8625 8.03067i −0.883840 0.512017i
\(247\) −6.97749 20.8204i −0.443967 1.32477i
\(248\) 0.997711 + 0.576029i 0.0633547 + 0.0365779i
\(249\) −7.88696 7.91015i −0.499816 0.501286i
\(250\) 2.79438 0.176732
\(251\) −7.38589 12.7927i −0.466193 0.807471i 0.533061 0.846077i \(-0.321042\pi\)
−0.999255 + 0.0386062i \(0.987708\pi\)
\(252\) 2.01839 + 7.67634i 0.127146 + 0.483564i
\(253\) −37.6433 10.0865i −2.36661 0.634132i
\(254\) 2.45919 + 9.17783i 0.154303 + 0.575868i
\(255\) −7.86159 + 29.1685i −0.492312 + 1.82660i
\(256\) 1.00000 0.0625000
\(257\) 12.6694 0.790293 0.395147 0.918618i \(-0.370694\pi\)
0.395147 + 0.918618i \(0.370694\pi\)
\(258\) 4.68372 + 1.26237i 0.291596 + 0.0785919i
\(259\) 4.81789 + 2.79284i 0.299369 + 0.173539i
\(260\) 11.6383 + 2.36204i 0.721777 + 0.146488i
\(261\) 7.06415 + 4.10619i 0.437260 + 0.254167i
\(262\) −5.23776 1.40345i −0.323590 0.0867056i
\(263\) −0.824649 + 0.476112i −0.0508501 + 0.0293583i −0.525210 0.850973i \(-0.676013\pi\)
0.474359 + 0.880331i \(0.342680\pi\)
\(264\) 6.52017 3.75167i 0.401289 0.230899i
\(265\) 13.3077 13.3077i 0.817486 0.817486i
\(266\) −4.19756 + 15.5568i −0.257369 + 0.953846i
\(267\) 2.71087 2.70292i 0.165903 0.165416i
\(268\) −2.53442 + 9.45859i −0.154815 + 0.577776i
\(269\) 23.2305i 1.41639i −0.706018 0.708194i \(-0.749510\pi\)
0.706018 0.708194i \(-0.250490\pi\)
\(270\) 14.8592 8.49190i 0.904299 0.516801i
\(271\) 19.0789 + 19.0789i 1.15896 + 1.15896i 0.984700 + 0.174259i \(0.0557530\pi\)
0.174259 + 0.984700i \(0.444247\pi\)
\(272\) 5.29539 0.321080
\(273\) 15.6832 5.19983i 0.949188 0.314708i
\(274\) −2.36049 −0.142602
\(275\) −17.9607 17.9607i −1.08307 1.08307i
\(276\) −0.0228172 + 15.5419i −0.00137344 + 0.935512i
\(277\) 17.7920i 1.06902i −0.845163 0.534508i \(-0.820497\pi\)
0.845163 0.534508i \(-0.179503\pi\)
\(278\) −3.62084 + 13.5132i −0.217163 + 0.810465i
\(279\) −0.884717 3.34102i −0.0529666 0.200021i
\(280\) −6.15116 6.17269i −0.367602 0.368889i
\(281\) −17.4575 + 17.4575i −1.04142 + 1.04142i −0.0423209 + 0.999104i \(0.513475\pi\)
−0.999104 + 0.0423209i \(0.986525\pi\)
\(282\) −3.74741 6.51277i −0.223155 0.387830i
\(283\) 0.617271 0.356381i 0.0366929 0.0211847i −0.481541 0.876423i \(-0.659923\pi\)
0.518234 + 0.855239i \(0.326590\pi\)
\(284\) −8.35193 2.23789i −0.495596 0.132795i
\(285\) 34.7435 + 0.0510073i 2.05803 + 0.00302141i
\(286\) −8.64918 13.0539i −0.511437 0.771894i
\(287\) 21.2146 12.1989i 1.25226 0.720079i
\(288\) −2.11508 2.12754i −0.124632 0.125366i
\(289\) 11.0412 0.649482
\(290\) −8.97077 −0.526782
\(291\) −4.89081 1.31819i −0.286704 0.0772735i
\(292\) −0.390935 1.45899i −0.0228777 0.0853809i
\(293\) −0.721061 0.193208i −0.0421248 0.0112873i 0.237695 0.971340i \(-0.423608\pi\)
−0.279820 + 0.960053i \(0.590275\pi\)
\(294\) −11.6955 3.19609i −0.682096 0.186400i
\(295\) −1.33062 2.30469i −0.0774715 0.134185i
\(296\) −2.10482 −0.122340
\(297\) −21.7725 5.93683i −1.26337 0.344490i
\(298\) 16.4290 + 9.48529i 0.951707 + 0.549468i
\(299\) 32.2918 1.99055i 1.86748 0.115117i
\(300\) −5.07774 + 8.76516i −0.293163 + 0.506057i
\(301\) −5.24867 + 5.23037i −0.302528 + 0.301473i
\(302\) 2.36270 + 1.36410i 0.135958 + 0.0784953i
\(303\) 8.35801 + 14.5257i 0.480155 + 0.834480i
\(304\) −1.57626 5.88267i −0.0904045 0.337394i
\(305\) 5.52396 + 5.52396i 0.316301 + 0.316301i
\(306\) −11.2002 11.2662i −0.640272 0.644043i
\(307\) −17.3155 17.3155i −0.988246 0.988246i 0.0116856 0.999932i \(-0.496280\pi\)
−0.999932 + 0.0116856i \(0.996280\pi\)
\(308\) −0.0200734 + 11.4907i −0.00114379 + 0.654746i
\(309\) −18.6598 + 10.7368i −1.06152 + 0.610793i
\(310\) 2.68313 + 2.68313i 0.152392 + 0.152392i
\(311\) 6.23904 10.8063i 0.353784 0.612771i −0.633125 0.774049i \(-0.718228\pi\)
0.986909 + 0.161278i \(0.0515616\pi\)
\(312\) −4.14269 + 4.67313i −0.234534 + 0.264564i
\(313\) −6.77592 11.7362i −0.382997 0.663371i 0.608492 0.793560i \(-0.291775\pi\)
−0.991489 + 0.130189i \(0.958442\pi\)
\(314\) 3.28502 0.880220i 0.185385 0.0496737i
\(315\) −0.122430 + 26.1426i −0.00689816 + 1.47297i
\(316\) 0.446002 0.257500i 0.0250896 0.0144855i
\(317\) −2.84872 + 10.6316i −0.160000 + 0.597128i 0.838625 + 0.544709i \(0.183360\pi\)
−0.998625 + 0.0524189i \(0.983307\pi\)
\(318\) 2.54745 + 9.56335i 0.142854 + 0.536286i
\(319\) 8.36434 + 8.36434i 0.468313 + 0.468313i
\(320\) 3.18146 + 0.852470i 0.177849 + 0.0476545i
\(321\) 0.0188005 12.8059i 0.00104934 0.714756i
\(322\) −20.5392 11.9062i −1.14461 0.663508i
\(323\) −8.34689 31.1510i −0.464434 1.73329i
\(324\) −0.0528517 + 8.99984i −0.00293620 + 0.499991i
\(325\) 18.8757 + 9.39982i 1.04704 + 0.521408i
\(326\) 21.9517 + 12.6738i 1.21579 + 0.701936i
\(327\) 1.90791 + 7.16247i 0.105508 + 0.396085i
\(328\) −4.62476 + 8.01031i −0.255359 + 0.442296i
\(329\) 11.4777 + 0.0200507i 0.632787 + 0.00110543i
\(330\) 23.9418 6.37754i 1.31796 0.351072i
\(331\) 0.971726 + 3.62653i 0.0534109 + 0.199332i 0.987476 0.157772i \(-0.0504310\pi\)
−0.934065 + 0.357104i \(0.883764\pi\)
\(332\) −4.56024 + 4.56024i −0.250276 + 0.250276i
\(333\) 4.45188 + 4.47810i 0.243961 + 0.245398i
\(334\) −2.72652 + 4.72246i −0.149188 + 0.258402i
\(335\) −16.1263 + 27.9316i −0.881076 + 1.52607i
\(336\) 4.43022 1.17182i 0.241688 0.0639281i
\(337\) 10.9390i 0.595886i −0.954584 0.297943i \(-0.903699\pi\)
0.954584 0.297943i \(-0.0963006\pi\)
\(338\) 10.2518 + 7.99379i 0.557624 + 0.434805i
\(339\) −4.32673 + 2.48957i −0.234996 + 0.135215i
\(340\) 16.8471 + 4.51416i 0.913662 + 0.244815i
\(341\) 5.00350i 0.270955i
\(342\) −9.18170 + 15.7959i −0.496489 + 0.854143i
\(343\) 13.1643 13.0270i 0.710803 0.703391i
\(344\) 0.724860 2.70522i 0.0390818 0.145855i
\(345\) −13.3216 + 49.4265i −0.717210 + 2.66103i
\(346\) 13.3102 3.56647i 0.715562 0.191734i
\(347\) 15.2251i 0.817326i 0.912685 + 0.408663i \(0.134005\pi\)
−0.912685 + 0.408663i \(0.865995\pi\)
\(348\) 2.36472 4.08197i 0.126762 0.218816i
\(349\) −24.1050 + 6.45893i −1.29031 + 0.345738i −0.837779 0.546009i \(-0.816146\pi\)
−0.452534 + 0.891747i \(0.649480\pi\)
\(350\) −7.71329 13.4139i −0.412293 0.717001i
\(351\) 18.7044 1.07032i 0.998367 0.0571294i
\(352\) −2.17155 3.76124i −0.115744 0.200475i
\(353\) 0.159758 0.596226i 0.00850308 0.0317339i −0.961544 0.274651i \(-0.911438\pi\)
0.970047 + 0.242917i \(0.0781043\pi\)
\(354\) 1.39946 + 0.00205456i 0.0743804 + 0.000109199i
\(355\) −24.6636 14.2395i −1.30901 0.755757i
\(356\) −1.56283 1.56283i −0.0828298 0.0828298i
\(357\) 23.4597 6.20525i 1.24162 0.328417i
\(358\) −2.30182 + 8.59053i −0.121655 + 0.454023i
\(359\) −28.9994 7.77036i −1.53053 0.410104i −0.607338 0.794444i \(-0.707763\pi\)
−0.923192 + 0.384340i \(0.874429\pi\)
\(360\) −4.91539 8.57173i −0.259064 0.451770i
\(361\) −15.6667 + 9.04518i −0.824563 + 0.476062i
\(362\) −14.3300 + 14.3300i −0.753170 + 0.753170i
\(363\) −11.7838 6.82646i −0.618488 0.358296i
\(364\) −3.01542 9.05026i −0.158051 0.474363i
\(365\) 4.97498i 0.260402i
\(366\) −3.96969 + 1.05743i −0.207499 + 0.0552729i
\(367\) 7.68648 + 13.3134i 0.401231 + 0.694953i 0.993875 0.110512i \(-0.0352491\pi\)
−0.592644 + 0.805465i \(0.701916\pi\)
\(368\) 8.97313 0.467757
\(369\) 26.8240 7.10312i 1.39640 0.369774i
\(370\) −6.69642 1.79430i −0.348130 0.0932812i
\(371\) −14.5957 3.93824i −0.757770 0.204463i
\(372\) −1.92819 + 0.513623i −0.0999717 + 0.0266301i
\(373\) −16.8782 + 29.2339i −0.873920 + 1.51367i −0.0160117 + 0.999872i \(0.505097\pi\)
−0.857909 + 0.513802i \(0.828236\pi\)
\(374\) −11.4992 19.9172i −0.594610 1.02990i
\(375\) −3.42742 + 3.41737i −0.176991 + 0.176472i
\(376\) −3.75697 + 2.16909i −0.193751 + 0.111862i
\(377\) −8.79049 4.37753i −0.452733 0.225454i
\(378\) −11.8634 6.94697i −0.610186 0.357314i
\(379\) 1.64709 + 6.14703i 0.0846054 + 0.315752i 0.995239 0.0974627i \(-0.0310727\pi\)
−0.910634 + 0.413214i \(0.864406\pi\)
\(380\) 20.0592i 1.02901i
\(381\) −14.2403 8.24953i −0.729552 0.422636i
\(382\) −4.17148 15.5682i −0.213431 0.796537i
\(383\) 29.9559 8.02667i 1.53068 0.410144i 0.607437 0.794368i \(-0.292198\pi\)
0.923240 + 0.384224i \(0.125531\pi\)
\(384\) −1.22654 + 1.22295i −0.0625917 + 0.0624082i
\(385\) −9.85938 + 36.5403i −0.502481 + 1.86226i
\(386\) −19.7030 + 11.3755i −1.00286 + 0.579000i
\(387\) −7.28859 + 4.17958i −0.370500 + 0.212460i
\(388\) −0.756910 + 2.82483i −0.0384263 + 0.143409i
\(389\) 1.09893 1.90340i 0.0557178 0.0965061i −0.836821 0.547476i \(-0.815589\pi\)
0.892539 + 0.450970i \(0.148922\pi\)
\(390\) −17.1635 + 11.3359i −0.869108 + 0.574014i
\(391\) 47.5162 2.40300
\(392\) −1.83535 + 6.75511i −0.0926990 + 0.341185i
\(393\) 8.14068 4.68410i 0.410643 0.236282i
\(394\) 22.2892 + 12.8687i 1.12291 + 0.648314i
\(395\) 1.63845 0.439021i 0.0824394 0.0220896i
\(396\) −3.40917 + 12.5754i −0.171317 + 0.631937i
\(397\) −14.2330 + 3.81371i −0.714332 + 0.191405i −0.597641 0.801763i \(-0.703895\pi\)
−0.116691 + 0.993168i \(0.537229\pi\)
\(398\) 11.7852 11.7852i 0.590739 0.590739i
\(399\) −13.8766 24.2144i −0.694698 1.21224i
\(400\) 5.06487 + 2.92420i 0.253243 + 0.146210i
\(401\) −1.28469 + 1.28469i −0.0641543 + 0.0641543i −0.738456 0.674302i \(-0.764445\pi\)
0.674302 + 0.738456i \(0.264445\pi\)
\(402\) −8.45877 14.7008i −0.421885 0.733210i
\(403\) 1.31990 + 3.93852i 0.0657491 + 0.196191i
\(404\) 8.37932 4.83780i 0.416887 0.240690i
\(405\) −7.84024 + 28.5876i −0.389585 + 1.42053i
\(406\) 3.59211 + 6.24689i 0.178273 + 0.310028i
\(407\) 4.57073 + 7.91674i 0.226563 + 0.392418i
\(408\) −6.49502 + 6.47598i −0.321551 + 0.320609i
\(409\) −17.5826 + 17.5826i −0.869403 + 0.869403i −0.992406 0.123003i \(-0.960747\pi\)
0.123003 + 0.992406i \(0.460747\pi\)
\(410\) −21.5420 + 21.5420i −1.06389 + 1.06389i
\(411\) 2.89523 2.88675i 0.142811 0.142393i
\(412\) 6.21469 + 10.7642i 0.306176 + 0.530312i
\(413\) −1.07209 + 1.84944i −0.0527540 + 0.0910051i
\(414\) −18.9789 19.0907i −0.932762 0.938256i
\(415\) −18.3957 + 10.6208i −0.903009 + 0.521352i
\(416\) 2.70154 + 2.38782i 0.132454 + 0.117072i
\(417\) −12.0847 21.0025i −0.591792 1.02850i
\(418\) −18.7032 + 18.7032i −0.914802 + 0.914802i
\(419\) 20.7478 + 11.9787i 1.01359 + 0.585199i 0.912242 0.409651i \(-0.134350\pi\)
0.101352 + 0.994851i \(0.467683\pi\)
\(420\) 15.0935 + 0.0485262i 0.736488 + 0.00236784i
\(421\) −21.1259 + 21.1259i −1.02961 + 1.02961i −0.0300645 + 0.999548i \(0.509571\pi\)
−0.999548 + 0.0300645i \(0.990429\pi\)
\(422\) −8.74252 + 2.34255i −0.425579 + 0.114034i
\(423\) 12.5611 + 3.40530i 0.610742 + 0.165571i
\(424\) 5.51924 1.47888i 0.268038 0.0718205i
\(425\) 26.8205 + 15.4848i 1.30098 + 0.751123i
\(426\) 12.9808 7.46909i 0.628923 0.361879i
\(427\) 1.63474 6.05858i 0.0791107 0.293195i
\(428\) −7.39350 −0.357378
\(429\) 26.5728 + 5.43369i 1.28295 + 0.262341i
\(430\) 4.61223 7.98862i 0.222421 0.385245i
\(431\) 5.66232 21.1321i 0.272744 1.01790i −0.684593 0.728925i \(-0.740020\pi\)
0.957338 0.288971i \(-0.0933131\pi\)
\(432\) 5.19610 + 0.0228855i 0.249998 + 0.00110108i
\(433\) −9.26511 + 5.34922i −0.445253 + 0.257067i −0.705823 0.708388i \(-0.749423\pi\)
0.260570 + 0.965455i \(0.416089\pi\)
\(434\) 0.794037 2.94281i 0.0381150 0.141260i
\(435\) 11.0030 10.9708i 0.527555 0.526008i
\(436\) 4.13363 1.10760i 0.197965 0.0530446i
\(437\) −14.1439 52.7859i −0.676597 2.52509i
\(438\) 2.26376 + 1.31142i 0.108167 + 0.0626620i
\(439\) 38.3551i 1.83059i −0.402783 0.915295i \(-0.631957\pi\)
0.402783 0.915295i \(-0.368043\pi\)
\(440\) −3.70236 13.8174i −0.176503 0.658719i
\(441\) 18.2537 10.3828i 0.869223 0.494421i
\(442\) 14.3057 + 12.6444i 0.680454 + 0.601435i
\(443\) −7.07201 + 4.08302i −0.336001 + 0.193990i −0.658502 0.752579i \(-0.728810\pi\)
0.322501 + 0.946569i \(0.395476\pi\)
\(444\) 2.58165 2.57408i 0.122520 0.122161i
\(445\) −3.63982 6.30435i −0.172544 0.298855i
\(446\) −4.22614 + 7.31989i −0.200113 + 0.346607i
\(447\) −31.7509 + 8.45768i −1.50176 + 0.400034i
\(448\) −0.680305 2.55679i −0.0321414 0.120797i
\(449\) 1.10954 + 0.297299i 0.0523622 + 0.0140304i 0.284905 0.958556i \(-0.408038\pi\)
−0.232543 + 0.972586i \(0.574705\pi\)
\(450\) −4.49125 16.9606i −0.211720 0.799532i
\(451\) 40.1716 1.89161
\(452\) 1.44102 + 2.49592i 0.0677800 + 0.117398i
\(453\) −4.56617 + 1.21632i −0.214537 + 0.0571476i
\(454\) 23.7932i 1.11667i
\(455\) −1.87835 31.3636i −0.0880583 1.47035i
\(456\) 9.12752 + 5.28766i 0.427435 + 0.247617i
\(457\) 0.359340 0.359340i 0.0168092 0.0168092i −0.698652 0.715461i \(-0.746217\pi\)
0.715461 + 0.698652i \(0.246217\pi\)
\(458\) 20.4755 11.8215i 0.956757 0.552384i
\(459\) 27.5154 + 0.121188i 1.28431 + 0.00565656i
\(460\) 28.5477 + 7.64932i 1.33104 + 0.356651i
\(461\) 4.16267 15.5353i 0.193875 0.723551i −0.798680 0.601755i \(-0.794468\pi\)
0.992555 0.121795i \(-0.0388651\pi\)
\(462\) −14.0279 14.1184i −0.652639 0.656849i
\(463\) 12.3374 + 12.3374i 0.573369 + 0.573369i 0.933068 0.359699i \(-0.117121\pi\)
−0.359699 + 0.933068i \(0.617121\pi\)
\(464\) −2.35873 1.36181i −0.109501 0.0632205i
\(465\) −6.57230 0.00964886i −0.304783 0.000447455i
\(466\) 7.31905 27.3151i 0.339049 1.26535i
\(467\) 15.5029 + 26.8517i 0.717387 + 1.24255i 0.962032 + 0.272938i \(0.0879952\pi\)
−0.244645 + 0.969613i \(0.578671\pi\)
\(468\) −0.633803 10.7981i −0.0292975 0.499141i
\(469\) 25.9078 + 0.0452589i 1.19631 + 0.00208986i
\(470\) −13.8017 + 3.69816i −0.636627 + 0.170584i
\(471\) −2.95276 + 5.09703i −0.136056 + 0.234859i
\(472\) 0.807979i 0.0371902i
\(473\) −11.7490 + 3.14814i −0.540221 + 0.144752i
\(474\) −0.232133 + 0.861271i −0.0106622 + 0.0395595i
\(475\) 9.21858 34.4042i 0.422977 1.57857i
\(476\) −3.60248 13.5392i −0.165120 0.620569i
\(477\) −14.8200 8.61445i −0.678562 0.394429i
\(478\) 18.2716i 0.835723i
\(479\) 20.7236 + 5.55286i 0.946883 + 0.253717i 0.699039 0.715083i \(-0.253611\pi\)
0.247844 + 0.968800i \(0.420278\pi\)
\(480\) −4.94472 + 2.84516i −0.225695 + 0.129863i
\(481\) −5.68627 5.02594i −0.259271 0.229163i
\(482\) 17.5173i 0.797893i
\(483\) 39.7529 10.5149i 1.80882 0.478444i
\(484\) −3.93126 + 6.80915i −0.178694 + 0.309507i
\(485\) −4.81616 + 8.34183i −0.218690 + 0.378783i
\(486\) −10.9415 11.1033i −0.496316 0.503657i
\(487\) −15.1480 + 15.1480i −0.686420 + 0.686420i −0.961439 0.275019i \(-0.911316\pi\)
0.275019 + 0.961439i \(0.411316\pi\)
\(488\) 0.613873 + 2.29100i 0.0277887 + 0.103709i
\(489\) −42.4240 + 11.3007i −1.91848 + 0.511037i
\(490\) −11.5976 + 19.9265i −0.523927 + 0.900190i
\(491\) 0.269785 0.467281i 0.0121752 0.0210881i −0.859874 0.510507i \(-0.829458\pi\)
0.872049 + 0.489419i \(0.162791\pi\)
\(492\) −4.12372 15.4808i −0.185912 0.697929i
\(493\) −12.4904 7.21133i −0.562539 0.324782i
\(494\) 9.78842 19.6561i 0.440402 0.884369i
\(495\) −21.5663 + 37.1019i −0.969332 + 1.66761i
\(496\) 0.298174 + 1.11280i 0.0133884 + 0.0499663i
\(497\) −0.0399636 + 22.8766i −0.00179261 + 1.02616i
\(498\) 0.0163992 11.1702i 0.000734864 0.500551i
\(499\) 20.1500 + 5.39917i 0.902036 + 0.241700i 0.679891 0.733314i \(-0.262027\pi\)
0.222146 + 0.975013i \(0.428694\pi\)
\(500\) 1.97592 + 1.97592i 0.0883660 + 0.0883660i
\(501\) −2.43113 9.12668i −0.108615 0.407750i
\(502\) 3.82322 14.2684i 0.170639 0.636832i
\(503\) 28.8447 16.6535i 1.28612 0.742542i 0.308161 0.951334i \(-0.400286\pi\)
0.977960 + 0.208792i \(0.0669532\pi\)
\(504\) −4.00077 + 6.85520i −0.178209 + 0.305355i
\(505\) 30.7826 8.24817i 1.36981 0.367039i
\(506\) −19.4856 33.7500i −0.866241 1.50037i
\(507\) −22.3502 + 2.73266i −0.992608 + 0.121362i
\(508\) −4.75079 + 8.22861i −0.210782 + 0.365086i
\(509\) −16.6251 16.6251i −0.736895 0.736895i 0.235081 0.971976i \(-0.424465\pi\)
−0.971976 + 0.235081i \(0.924465\pi\)
\(510\) −26.1842 + 15.0663i −1.15946 + 0.667145i
\(511\) −3.46438 + 1.99210i −0.153255 + 0.0881252i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −8.05576 30.6030i −0.355670 1.35116i
\(514\) 8.95859 + 8.95859i 0.395147 + 0.395147i
\(515\) 10.5957 + 39.5436i 0.466901 + 1.74250i
\(516\) 2.41926 + 4.20452i 0.106502 + 0.185094i
\(517\) 16.3169 + 9.42056i 0.717616 + 0.414316i
\(518\) 1.43192 + 5.38160i 0.0629151 + 0.236454i
\(519\) −11.9640 + 20.6521i −0.525159 + 0.906527i
\(520\) 6.55930 + 9.89974i 0.287645 + 0.434132i
\(521\) 23.1952 + 13.3918i 1.01620 + 0.586705i 0.913002 0.407956i \(-0.133758\pi\)
0.103201 + 0.994661i \(0.467092\pi\)
\(522\) 2.09159 + 7.89863i 0.0915465 + 0.345714i
\(523\) 30.5791 1.33713 0.668566 0.743653i \(-0.266908\pi\)
0.668566 + 0.743653i \(0.266908\pi\)
\(524\) −2.71126 4.69605i −0.118442 0.205148i
\(525\) 25.8651 + 7.01974i 1.12885 + 0.306366i
\(526\) −0.919777 0.246453i −0.0401042 0.0107459i
\(527\) 1.57895 + 5.89272i 0.0687802 + 0.256691i
\(528\) 7.26328 + 1.95762i 0.316094 + 0.0851947i
\(529\) 57.5170 2.50074
\(530\) 18.8199 0.817486
\(531\) −1.71901 + 1.70894i −0.0745985 + 0.0741617i
\(532\) −13.9684 + 8.03217i −0.605608 + 0.348239i
\(533\) −31.6211 + 10.5971i −1.36966 + 0.459012i
\(534\) 3.82813 + 0.00562013i 0.165659 + 0.000243207i
\(535\) −23.5221 6.30274i −1.01695 0.272491i
\(536\) −8.48034 + 4.89613i −0.366295 + 0.211481i
\(537\) −7.68246 13.3516i −0.331523 0.576166i
\(538\) 16.4264 16.4264i 0.708194 0.708194i
\(539\) 29.3931 7.76589i 1.26605 0.334501i
\(540\) 16.5117 + 4.50233i 0.710550 + 0.193749i
\(541\) 4.33430 16.1758i 0.186346 0.695454i −0.807992 0.589193i \(-0.799446\pi\)
0.994338 0.106260i \(-0.0338877\pi\)
\(542\) 26.9816i 1.15896i
\(543\) 0.0515325 35.1012i 0.00221147 1.50634i
\(544\) 3.74441 + 3.74441i 0.160540 + 0.160540i
\(545\) 14.0952 0.603772
\(546\) 14.7665 + 7.41284i 0.631948 + 0.317240i
\(547\) −9.21981 −0.394210 −0.197105 0.980382i \(-0.563154\pi\)
−0.197105 + 0.980382i \(0.563154\pi\)
\(548\) −1.66912 1.66912i −0.0713011 0.0713011i
\(549\) 3.57581 6.15170i 0.152612 0.262548i
\(550\) 25.4002i 1.08307i
\(551\) −4.29313 + 16.0222i −0.182893 + 0.682567i
\(552\) −11.0059 + 10.9736i −0.468443 + 0.467069i
\(553\) −0.961791 0.965157i −0.0408995 0.0410427i
\(554\) 12.5808 12.5808i 0.534508 0.534508i
\(555\) 10.4078 5.98857i 0.441785 0.254201i
\(556\) −12.1156 + 6.99492i −0.513814 + 0.296651i
\(557\) −16.7620 4.49136i −0.710227 0.190305i −0.114420 0.993432i \(-0.536501\pi\)
−0.595807 + 0.803128i \(0.703168\pi\)
\(558\) 1.73687 2.98805i 0.0735274 0.126494i
\(559\) 8.41780 5.57741i 0.356035 0.235899i
\(560\) 0.0152231 8.71427i 0.000643295 0.368245i
\(561\) 38.4619 + 10.3664i 1.62386 + 0.437669i
\(562\) −24.6886 −1.04142
\(563\) −4.16812 −0.175665 −0.0878327 0.996135i \(-0.527994\pi\)
−0.0878327 + 0.996135i \(0.527994\pi\)
\(564\) 1.95540 7.25504i 0.0823373 0.305492i
\(565\) 2.45686 + 9.16911i 0.103361 + 0.385748i
\(566\) 0.688476 + 0.184477i 0.0289388 + 0.00775413i
\(567\) 23.0467 5.98751i 0.967870 0.251452i
\(568\) −4.32328 7.48814i −0.181401 0.314195i
\(569\) 33.3010 1.39605 0.698025 0.716073i \(-0.254062\pi\)
0.698025 + 0.716073i \(0.254062\pi\)
\(570\) 24.5313 + 24.6034i 1.02750 + 1.03052i
\(571\) −9.65851 5.57634i −0.404196 0.233363i 0.284097 0.958796i \(-0.408306\pi\)
−0.688293 + 0.725433i \(0.741640\pi\)
\(572\) 3.11462 15.3464i 0.130229 0.641665i
\(573\) 24.1555 + 13.9935i 1.00911 + 0.584587i
\(574\) 23.6270 + 6.37508i 0.986170 + 0.266091i
\(575\) 45.4477 + 26.2392i 1.89530 + 1.09425i
\(576\) 0.00880865 2.99999i 0.000367027 0.124999i
\(577\) −2.15277 8.03426i −0.0896211 0.334470i 0.906528 0.422146i \(-0.138723\pi\)
−0.996149 + 0.0876752i \(0.972056\pi\)
\(578\) 7.80730 + 7.80730i 0.324741 + 0.324741i
\(579\) 10.2549 38.0483i 0.426179 1.58123i
\(580\) −6.34329 6.34329i −0.263391 0.263391i
\(581\) 14.7619 + 8.55723i 0.612428 + 0.355014i
\(582\) −2.52623 4.39043i −0.104715 0.181989i
\(583\) −17.5477 17.5477i −0.726752 0.726752i
\(584\) 0.755228 1.30809i 0.0312516 0.0541293i
\(585\) 7.18861 34.8939i 0.297213 1.44269i
\(586\) −0.373249 0.646486i −0.0154188 0.0267061i
\(587\) −7.42137 + 1.98855i −0.306313 + 0.0820762i −0.408701 0.912668i \(-0.634018\pi\)
0.102389 + 0.994744i \(0.467352\pi\)
\(588\) −6.01000 10.5300i −0.247848 0.434248i
\(589\) 6.07624 3.50812i 0.250367 0.144550i
\(590\) 0.688778 2.57055i 0.0283565 0.105828i
\(591\) −43.0763 + 11.4745i −1.77192 + 0.471998i
\(592\) −1.48834 1.48834i −0.0611702 0.0611702i
\(593\) −23.6622 6.34027i −0.971690 0.260364i −0.262149 0.965027i \(-0.584431\pi\)
−0.709541 + 0.704664i \(0.751098\pi\)
\(594\) −11.1975 19.5935i −0.459440 0.803930i
\(595\) 0.0806125 46.1455i 0.00330479 1.89178i
\(596\) 4.90995 + 18.3242i 0.201119 + 0.750588i
\(597\) −0.0423810 + 28.8677i −0.00173454 + 1.18148i
\(598\) 24.2413 + 21.4262i 0.991299 + 0.876182i
\(599\) −36.9189 21.3151i −1.50846 0.870913i −0.999951 0.00985856i \(-0.996862\pi\)
−0.508513 0.861054i \(-0.669805\pi\)
\(600\) −9.78841 + 2.60740i −0.399610 + 0.106447i
\(601\) 15.8340 27.4254i 0.645884 1.11870i −0.338213 0.941070i \(-0.609822\pi\)
0.984097 0.177634i \(-0.0568443\pi\)
\(602\) −7.40980 0.0129443i −0.302001 0.000527571i
\(603\) 28.3533 + 7.68655i 1.15464 + 0.313021i
\(604\) 0.706111 + 2.63524i 0.0287313 + 0.107227i
\(605\) −18.3118 + 18.3118i −0.744479 + 0.744479i
\(606\) −4.36122 + 16.1812i −0.177162 + 0.657317i
\(607\) −14.9467 + 25.8884i −0.606668 + 1.05078i 0.385118 + 0.922867i \(0.374161\pi\)
−0.991786 + 0.127912i \(0.959172\pi\)
\(608\) 3.04509 5.27425i 0.123495 0.213899i
\(609\) −12.0455 3.26912i −0.488107 0.132471i
\(610\) 7.81205i 0.316301i
\(611\) −15.3290 3.11108i −0.620145 0.125861i
\(612\) 0.0466453 15.8861i 0.00188552 0.642158i
\(613\) 6.84784 + 1.83487i 0.276582 + 0.0741098i 0.394444 0.918920i \(-0.370937\pi\)
−0.117862 + 0.993030i \(0.537604\pi\)
\(614\) 24.4878i 0.988246i
\(615\) 0.0774678 52.7669i 0.00312380 2.12777i
\(616\) −8.13938 + 8.11099i −0.327945 + 0.326801i
\(617\) 1.58171 5.90302i 0.0636772 0.237647i −0.926751 0.375677i \(-0.877410\pi\)
0.990428 + 0.138030i \(0.0440770\pi\)
\(618\) −20.7865 5.60246i −0.836157 0.225364i
\(619\) −17.8860 + 4.79255i −0.718900 + 0.192629i −0.599681 0.800239i \(-0.704706\pi\)
−0.119219 + 0.992868i \(0.538039\pi\)
\(620\) 3.79452i 0.152392i
\(621\) 46.6253 + 0.205355i 1.87101 + 0.00824059i
\(622\) 12.0529 3.22956i 0.483277 0.129494i
\(623\) −2.93263 + 5.05903i −0.117493 + 0.202686i
\(624\) −6.23372 + 0.375078i −0.249549 + 0.0150152i
\(625\) −10.0191 17.3536i −0.400764 0.694144i
\(626\) 3.50747 13.0901i 0.140187 0.523184i
\(627\) 0.0672589 45.8132i 0.00268606 1.82960i
\(628\) 2.94527 + 1.70045i 0.117529 + 0.0678555i
\(629\) −7.88132 7.88132i −0.314249 0.314249i
\(630\) −18.5722 + 18.3990i −0.739933 + 0.733035i
\(631\) −7.50820 + 28.0210i −0.298897 + 1.11550i 0.639176 + 0.769060i \(0.279275\pi\)
−0.938073 + 0.346438i \(0.887391\pi\)
\(632\) 0.497451 + 0.133292i 0.0197875 + 0.00530206i
\(633\) 7.85825 13.5649i 0.312338 0.539155i
\(634\) −9.53199 + 5.50330i −0.378564 + 0.218564i
\(635\) −22.1291 + 22.1291i −0.878167 + 0.878167i
\(636\) −4.96099 + 8.56363i −0.196716 + 0.339570i
\(637\) −21.0882 + 13.8667i −0.835546 + 0.549420i
\(638\) 11.8290i 0.468313i
\(639\) −6.78722 + 25.0360i −0.268498 + 0.990408i
\(640\) 1.64685 + 2.85242i 0.0650973 + 0.112752i
\(641\) 9.87085 0.389875 0.194938 0.980816i \(-0.437550\pi\)
0.194938 + 0.980816i \(0.437550\pi\)
\(642\) 9.06843 9.04185i 0.357903 0.356853i
\(643\) −32.4863 8.70468i −1.28114 0.343279i −0.446848 0.894610i \(-0.647454\pi\)
−0.834287 + 0.551331i \(0.814120\pi\)
\(644\) −6.10447 22.9424i −0.240550 0.904058i
\(645\) 4.11255 + 15.4389i 0.161932 + 0.607905i
\(646\) 16.1250 27.9293i 0.634428 1.09886i
\(647\) −3.41124 5.90844i −0.134110 0.232285i 0.791147 0.611626i \(-0.209484\pi\)
−0.925257 + 0.379341i \(0.876151\pi\)
\(648\) −6.40122 + 6.32648i −0.251464 + 0.248528i
\(649\) −3.03900 + 1.75457i −0.119291 + 0.0688728i
\(650\) 6.70048 + 19.9938i 0.262814 + 0.784223i
\(651\) 2.62498 + 4.58055i 0.102881 + 0.179526i
\(652\) 6.56044 + 24.4839i 0.256927 + 0.958863i
\(653\) 32.9646i 1.29000i −0.764181 0.645001i \(-0.776857\pi\)
0.764181 0.645001i \(-0.223143\pi\)
\(654\) −3.71553 + 6.41373i −0.145289 + 0.250797i
\(655\) −4.62254 17.2516i −0.180618 0.674074i
\(656\) −8.93434 + 2.39395i −0.348828 + 0.0934681i
\(657\) −4.38039 + 1.15995i −0.170895 + 0.0452539i
\(658\) 8.10179 + 8.13015i 0.315841 + 0.316946i
\(659\) 19.5631 11.2948i 0.762072 0.439982i −0.0679673 0.997688i \(-0.521651\pi\)
0.830039 + 0.557705i \(0.188318\pi\)
\(660\) 21.4390 + 12.4198i 0.834514 + 0.483442i
\(661\) −2.91222 + 10.8686i −0.113272 + 0.422738i −0.999152 0.0411773i \(-0.986889\pi\)
0.885880 + 0.463915i \(0.153556\pi\)
\(662\) −1.87723 + 3.25146i −0.0729606 + 0.126371i
\(663\) −33.0100 + 1.98619i −1.28200 + 0.0771371i
\(664\) −6.44915 −0.250276
\(665\) −51.2872 + 13.6464i −1.98883 + 0.529184i
\(666\) −0.0185407 + 6.31444i −0.000718436 + 0.244680i
\(667\) −21.1652 12.2197i −0.819518 0.473149i
\(668\) −5.26722 + 1.41135i −0.203795 + 0.0546067i
\(669\) −3.76829 14.1465i −0.145690 0.546935i
\(670\) −31.1537 + 8.34761i −1.20357 + 0.322496i
\(671\) 7.28395 7.28395i 0.281194 0.281194i
\(672\) 3.96124 + 2.30404i 0.152808 + 0.0888801i
\(673\) 12.2810 + 7.09042i 0.473396 + 0.273315i 0.717660 0.696393i \(-0.245213\pi\)
−0.244264 + 0.969709i \(0.578546\pi\)
\(674\) 7.73506 7.73506i 0.297943 0.297943i
\(675\) 26.2506 + 15.3104i 1.01039 + 0.589296i
\(676\) 1.59665 + 12.9016i 0.0614094 + 0.496215i
\(677\) −17.7006 + 10.2195i −0.680291 + 0.392766i −0.799965 0.600047i \(-0.795148\pi\)
0.119674 + 0.992813i \(0.461815\pi\)
\(678\) −4.81985 1.29906i −0.185105 0.0498902i
\(679\) 7.73742 + 0.0135167i 0.296935 + 0.000518722i
\(680\) 8.72070 + 15.1047i 0.334423 + 0.579238i
\(681\) −29.0978 29.1833i −1.11503 1.11831i
\(682\) 3.53801 3.53801i 0.135477 0.135477i
\(683\) 5.99503 5.99503i 0.229394 0.229394i −0.583046 0.812439i \(-0.698139\pi\)
0.812439 + 0.583046i \(0.198139\pi\)
\(684\) −17.6618 + 4.67693i −0.675316 + 0.178827i
\(685\) −3.88736 6.73310i −0.148528 0.257258i
\(686\) 18.5200 + 0.0970597i 0.707097 + 0.00370576i
\(687\) −10.6570 + 39.5400i −0.406588 + 1.50854i
\(688\) 2.42543 1.40032i 0.0924686 0.0533868i
\(689\) 18.4417 + 9.18370i 0.702574 + 0.349871i
\(690\) −44.3696 + 25.5300i −1.68912 + 0.971911i
\(691\) 5.47799 5.47799i 0.208392 0.208392i −0.595191 0.803584i \(-0.702924\pi\)
0.803584 + 0.595191i \(0.202924\pi\)
\(692\) 11.9336 + 6.88988i 0.453648 + 0.261914i
\(693\) 34.4719 + 0.161438i 1.30948 + 0.00613252i
\(694\) −10.7658 + 10.7658i −0.408663 + 0.408663i
\(695\) −44.5082 + 11.9259i −1.68829 + 0.452376i
\(696\) 4.55850 1.21428i 0.172789 0.0460270i
\(697\) −47.3109 + 12.6769i −1.79203 + 0.480172i
\(698\) −21.6120 12.4777i −0.818026 0.472287i
\(699\) 24.4277 + 42.4539i 0.923942 + 1.60575i
\(700\) 4.03092 14.9392i 0.152354 0.564647i
\(701\) −27.6757 −1.04530 −0.522649 0.852548i \(-0.675056\pi\)
−0.522649 + 0.852548i \(0.675056\pi\)
\(702\) 13.9828 + 12.4692i 0.527748 + 0.470619i
\(703\) −6.40938 + 11.1014i −0.241734 + 0.418696i
\(704\) 1.12408 4.19511i 0.0423653 0.158109i
\(705\) 12.4057 21.4147i 0.467228 0.806525i
\(706\) 0.534562 0.308629i 0.0201185 0.0116154i
\(707\) −18.0698 18.1330i −0.679583 0.681962i
\(708\) 0.988114 + 0.991019i 0.0371356 + 0.0372448i
\(709\) 9.06615 2.42927i 0.340486 0.0912331i −0.0845242 0.996421i \(-0.526937\pi\)
0.425011 + 0.905188i \(0.360270\pi\)
\(710\) −7.37093 27.5087i −0.276626 1.03238i
\(711\) −0.768567 1.34027i −0.0288235 0.0502640i
\(712\) 2.21018i 0.0828298i
\(713\) 2.67556 + 9.98531i 0.100200 + 0.373953i
\(714\) 20.9763 + 12.2008i 0.785019 + 0.456602i
\(715\) 22.9914 46.1689i 0.859829 1.72662i
\(716\) −7.70206 + 4.44678i −0.287839 + 0.166184i
\(717\) 22.3452 + 22.4109i 0.834495 + 0.836949i
\(718\) −15.0112 26.0001i −0.560213 0.970317i
\(719\) −9.11577 + 15.7890i −0.339961 + 0.588829i −0.984425 0.175805i \(-0.943747\pi\)
0.644464 + 0.764634i \(0.277080\pi\)
\(720\) 2.58542 9.53683i 0.0963530 0.355417i
\(721\) 23.2938 23.2126i 0.867507 0.864481i
\(722\) −17.4739 4.68213i −0.650313 0.174251i
\(723\) 21.4228 + 21.4858i 0.796721 + 0.799064i
\(724\) −20.2657 −0.753170
\(725\) −7.96442 13.7948i −0.295791 0.512325i
\(726\) −3.50536 13.1594i −0.130096 0.488392i
\(727\) 2.16371i 0.0802476i −0.999195 0.0401238i \(-0.987225\pi\)
0.999195 0.0401238i \(-0.0127752\pi\)
\(728\) 4.26728 8.53172i 0.158156 0.316207i
\(729\) 26.9990 + 0.237831i 0.999961 + 0.00880855i
\(730\) 3.51784 3.51784i 0.130201 0.130201i
\(731\) 12.8436 7.41526i 0.475038 0.274263i
\(732\) −3.55471 2.05928i −0.131386 0.0761132i
\(733\) 12.5511 + 3.36306i 0.463586 + 0.124218i 0.483050 0.875593i \(-0.339529\pi\)
−0.0194633 + 0.999811i \(0.506196\pi\)
\(734\) −3.97882 + 14.8491i −0.146861 + 0.548092i
\(735\) −10.1441 38.6240i −0.374172 1.42467i
\(736\) 6.34496 + 6.34496i 0.233878 + 0.233878i
\(737\) 36.8310 + 21.2644i 1.35669 + 0.783284i
\(738\) 23.9901 + 13.9448i 0.883088 + 0.513314i
\(739\) −12.4554 + 46.4840i −0.458178 + 1.70994i 0.220396 + 0.975410i \(0.429265\pi\)
−0.678574 + 0.734532i \(0.737402\pi\)
\(740\) −3.46632 6.00384i −0.127424 0.220706i
\(741\) 12.0324 + 36.0797i 0.442021 + 1.32542i
\(742\) −7.53594 13.1055i −0.276653 0.481116i
\(743\) 3.84387 1.02996i 0.141018 0.0377857i −0.187620 0.982242i \(-0.560077\pi\)
0.328638 + 0.944456i \(0.393411\pi\)
\(744\) −1.72662 1.00025i −0.0633009 0.0366708i
\(745\) 62.4833i 2.28921i
\(746\) −32.6062 + 8.73680i −1.19380 + 0.319877i
\(747\) 13.6405 + 13.7208i 0.499079 + 0.502019i
\(748\) 5.95243 22.2148i 0.217642 0.812253i
\(749\) 5.02984 + 18.9036i 0.183786 + 0.690724i
\(750\) −4.84000 0.00710566i −0.176732 0.000259462i
\(751\) 13.8056i 0.503772i −0.967757 0.251886i \(-0.918949\pi\)
0.967757 0.251886i \(-0.0810508\pi\)
\(752\) −4.19035 1.12280i −0.152806 0.0409444i
\(753\) 12.7602 + 22.1764i 0.465007 + 0.808154i
\(754\) −3.12044 9.31120i −0.113640 0.339094i
\(755\) 8.98587i 0.327029i
\(756\) −3.47642 13.3009i −0.126436 0.483750i
\(757\) −12.0187 + 20.8170i −0.436826 + 0.756606i −0.997443 0.0714701i \(-0.977231\pi\)
0.560616 + 0.828076i \(0.310564\pi\)
\(758\) −3.18194 + 5.51128i −0.115573 + 0.200179i
\(759\) 65.1744 + 17.5660i 2.36568 + 0.637606i
\(760\) 14.1840 14.1840i 0.514507 0.514507i
\(761\) −2.99416 11.1743i −0.108538 0.405070i 0.890184 0.455600i \(-0.150575\pi\)
−0.998723 + 0.0505307i \(0.983909\pi\)
\(762\) −4.23610 15.9027i −0.153458 0.576094i
\(763\) −5.64404 9.81533i −0.204328 0.355339i
\(764\) 8.05867 13.9580i 0.291553 0.504984i
\(765\) 13.6908 50.5013i 0.494993 1.82588i
\(766\) 26.8578 + 15.5063i 0.970410 + 0.560267i
\(767\) 1.92931 2.18279i 0.0696632 0.0788159i
\(768\) −1.73205 0.00254284i −0.0624999 9.17569e-5i
\(769\) −5.93685 22.1566i −0.214088 0.798988i −0.986486 0.163848i \(-0.947609\pi\)
0.772397 0.635140i \(-0.219057\pi\)
\(770\) −32.8095 + 18.8662i −1.18237 + 0.679892i
\(771\) −21.9440 0.0322162i −0.790292 0.00116024i
\(772\) −21.9759 5.88842i −0.790929 0.211929i
\(773\) 1.41642 + 1.41642i 0.0509449 + 0.0509449i 0.732120 0.681175i \(-0.238531\pi\)
−0.681175 + 0.732120i \(0.738531\pi\)