Properties

Label 273.2.bt.a.136.5
Level $273$
Weight $2$
Character 273.136
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bt (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 136.5
Character \(\chi\) \(=\) 273.136
Dual form 273.2.bt.a.271.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.374685 - 0.374685i) q^{2} +(0.866025 - 0.500000i) q^{3} +1.71922i q^{4} +(-0.545981 + 2.03763i) q^{5} +(0.137144 - 0.511829i) q^{6} +(-2.03549 + 1.69021i) q^{7} +(1.39354 + 1.39354i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.374685 - 0.374685i) q^{2} +(0.866025 - 0.500000i) q^{3} +1.71922i q^{4} +(-0.545981 + 2.03763i) q^{5} +(0.137144 - 0.511829i) q^{6} +(-2.03549 + 1.69021i) q^{7} +(1.39354 + 1.39354i) q^{8} +(0.500000 - 0.866025i) q^{9} +(0.558898 + 0.968040i) q^{10} +(-0.745933 + 2.78386i) q^{11} +(0.859611 + 1.48889i) q^{12} +(2.80107 - 2.27024i) q^{13} +(-0.129371 + 1.39596i) q^{14} +(0.545981 + 2.03763i) q^{15} -2.39417 q^{16} -3.29760 q^{17} +(-0.137144 - 0.511829i) q^{18} +(6.53354 - 1.75066i) q^{19} +(-3.50314 - 0.938663i) q^{20} +(-0.917679 + 2.48150i) q^{21} +(0.763581 + 1.32256i) q^{22} -7.84515i q^{23} +(1.90361 + 0.510070i) q^{24} +(0.476290 + 0.274986i) q^{25} +(0.198893 - 1.90015i) q^{26} -1.00000i q^{27} +(-2.90584 - 3.49945i) q^{28} +(0.677462 - 1.17340i) q^{29} +(0.968040 + 0.558898i) q^{30} +(6.38499 - 1.71085i) q^{31} +(-3.68413 + 3.68413i) q^{32} +(0.745933 + 2.78386i) q^{33} +(-1.23556 + 1.23556i) q^{34} +(-2.33268 - 5.07039i) q^{35} +(1.48889 + 0.859611i) q^{36} +(2.87856 + 2.87856i) q^{37} +(1.79207 - 3.10396i) q^{38} +(1.29068 - 3.36662i) q^{39} +(-3.60036 + 2.07867i) q^{40} +(6.61712 - 1.77305i) q^{41} +(0.585942 + 1.27362i) q^{42} +(-4.36301 + 2.51899i) q^{43} +(-4.78608 - 1.28243i) q^{44} +(1.49165 + 1.49165i) q^{45} +(-2.93946 - 2.93946i) q^{46} +(-3.53471 - 0.947124i) q^{47} +(-2.07341 + 1.19709i) q^{48} +(1.28640 - 6.88078i) q^{49} +(0.281492 - 0.0754255i) q^{50} +(-2.85581 + 1.64880i) q^{51} +(3.90305 + 4.81566i) q^{52} +(-3.87961 + 6.71968i) q^{53} +(-0.374685 - 0.374685i) q^{54} +(-5.26521 - 3.03987i) q^{55} +(-5.19189 - 0.481159i) q^{56} +(4.78288 - 4.78288i) q^{57} +(-0.185820 - 0.693490i) q^{58} +(-2.01369 + 2.01369i) q^{59} +(-3.50314 + 0.938663i) q^{60} +(-3.14962 - 1.81843i) q^{61} +(1.75133 - 3.03339i) q^{62} +(0.446019 + 2.60789i) q^{63} -2.02756i q^{64} +(3.09658 + 6.94705i) q^{65} +(1.32256 + 0.763581i) q^{66} +(1.82619 + 0.489326i) q^{67} -5.66931i q^{68} +(-3.92258 - 6.79410i) q^{69} +(-2.77382 - 1.02578i) q^{70} +(-9.87427 - 2.64580i) q^{71} +(1.90361 - 0.510070i) q^{72} +(1.82296 + 6.80337i) q^{73} +2.15710 q^{74} +0.549972 q^{75} +(3.00977 + 11.2326i) q^{76} +(-3.18696 - 6.92729i) q^{77} +(-0.777826 - 1.74502i) q^{78} +(-1.13108 - 1.95909i) q^{79} +(1.30717 - 4.87843i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(1.81500 - 3.14367i) q^{82} +(-3.97225 - 3.97225i) q^{83} +(-4.26626 - 1.57769i) q^{84} +(1.80043 - 6.71929i) q^{85} +(-0.690929 + 2.57858i) q^{86} -1.35492i q^{87} +(-4.91890 + 2.83993i) q^{88} +(8.73455 - 8.73455i) q^{89} +1.11780 q^{90} +(-1.86436 + 9.35543i) q^{91} +13.4876 q^{92} +(4.67414 - 4.67414i) q^{93} +(-1.67928 + 0.969531i) q^{94} +14.2688i q^{95} +(-1.34849 + 5.03262i) q^{96} +(3.94107 - 14.7083i) q^{97} +(-2.09613 - 3.06012i) q^{98} +(2.03793 + 2.03793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 6q^{7} + 18q^{9} + O(q^{10}) \) \( 36q + 6q^{7} + 18q^{9} - 8q^{11} - 16q^{12} + 42q^{14} - 24q^{16} - 8q^{17} - 18q^{19} + 14q^{20} - 4q^{21} + 4q^{22} + 18q^{24} + 24q^{25} - 50q^{26} + 34q^{28} + 8q^{29} + 6q^{31} - 50q^{32} + 8q^{33} - 24q^{34} + 14q^{35} - 14q^{37} - 8q^{38} - 2q^{39} - 30q^{40} + 34q^{41} - 18q^{42} + 30q^{43} + 28q^{44} - 32q^{46} - 10q^{47} + 24q^{48} + 6q^{49} - 20q^{50} - 24q^{51} + 4q^{52} - 8q^{53} - 30q^{55} - 92q^{56} - 24q^{57} + 72q^{58} - 70q^{59} + 14q^{60} - 60q^{61} - 48q^{62} + 6q^{63} - 44q^{65} + 18q^{66} - 46q^{67} + 4q^{69} + 80q^{70} + 42q^{71} + 18q^{72} - 56q^{73} + 40q^{74} - 20q^{75} + 12q^{76} + 24q^{77} - 16q^{78} + 170q^{80} - 18q^{81} + 24q^{82} - 60q^{83} + 2q^{85} + 12q^{86} + 84q^{88} + 64q^{89} - 86q^{91} - 100q^{92} + 12q^{93} - 66q^{94} + 46q^{96} + 36q^{97} - 22q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.374685 0.374685i 0.264942 0.264942i −0.562116 0.827058i \(-0.690013\pi\)
0.827058 + 0.562116i \(0.190013\pi\)
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 1.71922i 0.859611i
\(5\) −0.545981 + 2.03763i −0.244170 + 0.911255i 0.729629 + 0.683844i \(0.239693\pi\)
−0.973799 + 0.227412i \(0.926974\pi\)
\(6\) 0.137144 0.511829i 0.0559889 0.208953i
\(7\) −2.03549 + 1.69021i −0.769341 + 0.638838i
\(8\) 1.39354 + 1.39354i 0.492690 + 0.492690i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 0.558898 + 0.968040i 0.176739 + 0.306121i
\(11\) −0.745933 + 2.78386i −0.224907 + 0.839366i 0.757534 + 0.652795i \(0.226404\pi\)
−0.982442 + 0.186570i \(0.940263\pi\)
\(12\) 0.859611 + 1.48889i 0.248148 + 0.429806i
\(13\) 2.80107 2.27024i 0.776877 0.629652i
\(14\) −0.129371 + 1.39596i −0.0345758 + 0.373086i
\(15\) 0.545981 + 2.03763i 0.140972 + 0.526114i
\(16\) −2.39417 −0.598543
\(17\) −3.29760 −0.799786 −0.399893 0.916562i \(-0.630953\pi\)
−0.399893 + 0.916562i \(0.630953\pi\)
\(18\) −0.137144 0.511829i −0.0323252 0.120639i
\(19\) 6.53354 1.75066i 1.49890 0.401628i 0.586166 0.810191i \(-0.300637\pi\)
0.912730 + 0.408563i \(0.133970\pi\)
\(20\) −3.50314 0.938663i −0.783325 0.209891i
\(21\) −0.917679 + 2.48150i −0.200254 + 0.541509i
\(22\) 0.763581 + 1.32256i 0.162796 + 0.281971i
\(23\) 7.84515i 1.63583i −0.575341 0.817914i \(-0.695130\pi\)
0.575341 0.817914i \(-0.304870\pi\)
\(24\) 1.90361 + 0.510070i 0.388572 + 0.104118i
\(25\) 0.476290 + 0.274986i 0.0952579 + 0.0549972i
\(26\) 0.198893 1.90015i 0.0390061 0.372649i
\(27\) 1.00000i 0.192450i
\(28\) −2.90584 3.49945i −0.549152 0.661334i
\(29\) 0.677462 1.17340i 0.125802 0.217895i −0.796244 0.604975i \(-0.793183\pi\)
0.922046 + 0.387080i \(0.126516\pi\)
\(30\) 0.968040 + 0.558898i 0.176739 + 0.102040i
\(31\) 6.38499 1.71085i 1.14678 0.307278i 0.365105 0.930966i \(-0.381033\pi\)
0.781673 + 0.623688i \(0.214366\pi\)
\(32\) −3.68413 + 3.68413i −0.651269 + 0.651269i
\(33\) 0.745933 + 2.78386i 0.129850 + 0.484608i
\(34\) −1.23556 + 1.23556i −0.211897 + 0.211897i
\(35\) −2.33268 5.07039i −0.394294 0.857052i
\(36\) 1.48889 + 0.859611i 0.248148 + 0.143269i
\(37\) 2.87856 + 2.87856i 0.473232 + 0.473232i 0.902959 0.429727i \(-0.141390\pi\)
−0.429727 + 0.902959i \(0.641390\pi\)
\(38\) 1.79207 3.10396i 0.290713 0.503529i
\(39\) 1.29068 3.36662i 0.206674 0.539091i
\(40\) −3.60036 + 2.07867i −0.569266 + 0.328666i
\(41\) 6.61712 1.77305i 1.03342 0.276904i 0.298036 0.954555i \(-0.403668\pi\)
0.735384 + 0.677651i \(0.237002\pi\)
\(42\) 0.585942 + 1.27362i 0.0904128 + 0.196524i
\(43\) −4.36301 + 2.51899i −0.665353 + 0.384142i −0.794314 0.607508i \(-0.792169\pi\)
0.128961 + 0.991650i \(0.458836\pi\)
\(44\) −4.78608 1.28243i −0.721528 0.193333i
\(45\) 1.49165 + 1.49165i 0.222362 + 0.222362i
\(46\) −2.93946 2.93946i −0.433400 0.433400i
\(47\) −3.53471 0.947124i −0.515591 0.138152i −0.00836456 0.999965i \(-0.502663\pi\)
−0.507226 + 0.861813i \(0.669329\pi\)
\(48\) −2.07341 + 1.19709i −0.299271 + 0.172784i
\(49\) 1.28640 6.88078i 0.183772 0.982969i
\(50\) 0.281492 0.0754255i 0.0398089 0.0106668i
\(51\) −2.85581 + 1.64880i −0.399893 + 0.230878i
\(52\) 3.90305 + 4.81566i 0.541256 + 0.667812i
\(53\) −3.87961 + 6.71968i −0.532905 + 0.923019i 0.466356 + 0.884597i \(0.345567\pi\)
−0.999262 + 0.0384223i \(0.987767\pi\)
\(54\) −0.374685 0.374685i −0.0509882 0.0509882i
\(55\) −5.26521 3.03987i −0.709961 0.409896i
\(56\) −5.19189 0.481159i −0.693795 0.0642976i
\(57\) 4.78288 4.78288i 0.633508 0.633508i
\(58\) −0.185820 0.693490i −0.0243994 0.0910597i
\(59\) −2.01369 + 2.01369i −0.262160 + 0.262160i −0.825931 0.563771i \(-0.809350\pi\)
0.563771 + 0.825931i \(0.309350\pi\)
\(60\) −3.50314 + 0.938663i −0.452253 + 0.121181i
\(61\) −3.14962 1.81843i −0.403267 0.232827i 0.284625 0.958639i \(-0.408131\pi\)
−0.687893 + 0.725812i \(0.741464\pi\)
\(62\) 1.75133 3.03339i 0.222419 0.385241i
\(63\) 0.446019 + 2.60789i 0.0561931 + 0.328563i
\(64\) 2.02756i 0.253445i
\(65\) 3.09658 + 6.94705i 0.384084 + 0.861676i
\(66\) 1.32256 + 0.763581i 0.162796 + 0.0939903i
\(67\) 1.82619 + 0.489326i 0.223104 + 0.0597807i 0.368640 0.929572i \(-0.379824\pi\)
−0.145535 + 0.989353i \(0.546490\pi\)
\(68\) 5.66931i 0.687505i
\(69\) −3.92258 6.79410i −0.472223 0.817914i
\(70\) −2.77382 1.02578i −0.331534 0.122604i
\(71\) −9.87427 2.64580i −1.17186 0.313999i −0.380167 0.924918i \(-0.624134\pi\)
−0.791693 + 0.610919i \(0.790800\pi\)
\(72\) 1.90361 0.510070i 0.224342 0.0601123i
\(73\) 1.82296 + 6.80337i 0.213361 + 0.796274i 0.986737 + 0.162326i \(0.0518997\pi\)
−0.773376 + 0.633947i \(0.781434\pi\)
\(74\) 2.15710 0.250758
\(75\) 0.549972 0.0635053
\(76\) 3.00977 + 11.2326i 0.345244 + 1.28847i
\(77\) −3.18696 6.92729i −0.363188 0.789438i
\(78\) −0.777826 1.74502i −0.0880715 0.197585i
\(79\) −1.13108 1.95909i −0.127256 0.220414i 0.795356 0.606142i \(-0.207284\pi\)
−0.922613 + 0.385728i \(0.873950\pi\)
\(80\) 1.30717 4.87843i 0.146146 0.545425i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 1.81500 3.14367i 0.200433 0.347160i
\(83\) −3.97225 3.97225i −0.436011 0.436011i 0.454656 0.890667i \(-0.349762\pi\)
−0.890667 + 0.454656i \(0.849762\pi\)
\(84\) −4.26626 1.57769i −0.465487 0.172141i
\(85\) 1.80043 6.71929i 0.195284 0.728810i
\(86\) −0.690929 + 2.57858i −0.0745048 + 0.278056i
\(87\) 1.35492i 0.145263i
\(88\) −4.91890 + 2.83993i −0.524356 + 0.302737i
\(89\) 8.73455 8.73455i 0.925861 0.925861i −0.0715743 0.997435i \(-0.522802\pi\)
0.997435 + 0.0715743i \(0.0228023\pi\)
\(90\) 1.11780 0.117826
\(91\) −1.86436 + 9.35543i −0.195438 + 0.980716i
\(92\) 13.4876 1.40618
\(93\) 4.67414 4.67414i 0.484685 0.484685i
\(94\) −1.67928 + 0.969531i −0.173204 + 0.0999995i
\(95\) 14.2688i 1.46394i
\(96\) −1.34849 + 5.03262i −0.137629 + 0.513640i
\(97\) 3.94107 14.7083i 0.400155 1.49340i −0.412664 0.910883i \(-0.635402\pi\)
0.812819 0.582516i \(-0.197932\pi\)
\(98\) −2.09613 3.06012i −0.211741 0.309119i
\(99\) 2.03793 + 2.03793i 0.204819 + 0.204819i
\(100\) −0.472762 + 0.818848i −0.0472762 + 0.0818848i
\(101\) 4.18736 + 7.25272i 0.416658 + 0.721673i 0.995601 0.0936951i \(-0.0298679\pi\)
−0.578943 + 0.815368i \(0.696535\pi\)
\(102\) −0.452247 + 1.68781i −0.0447792 + 0.167118i
\(103\) 3.94643 + 6.83541i 0.388853 + 0.673513i 0.992296 0.123893i \(-0.0395380\pi\)
−0.603442 + 0.797407i \(0.706205\pi\)
\(104\) 7.06706 + 0.739728i 0.692982 + 0.0725363i
\(105\) −4.55535 3.22474i −0.444557 0.314703i
\(106\) 1.06413 + 3.97140i 0.103358 + 0.385736i
\(107\) −20.0157 −1.93499 −0.967497 0.252883i \(-0.918621\pi\)
−0.967497 + 0.252883i \(0.918621\pi\)
\(108\) 1.71922 0.165432
\(109\) −1.81100 6.75874i −0.173462 0.647370i −0.996808 0.0798304i \(-0.974562\pi\)
0.823346 0.567539i \(-0.192105\pi\)
\(110\) −3.11179 + 0.833802i −0.296698 + 0.0794999i
\(111\) 3.93218 + 1.05363i 0.373226 + 0.100006i
\(112\) 4.87330 4.04664i 0.460483 0.382372i
\(113\) 2.05899 + 3.56627i 0.193693 + 0.335486i 0.946471 0.322788i \(-0.104620\pi\)
−0.752778 + 0.658274i \(0.771287\pi\)
\(114\) 3.58415i 0.335686i
\(115\) 15.9855 + 4.28331i 1.49066 + 0.399420i
\(116\) 2.01733 + 1.16471i 0.187305 + 0.108140i
\(117\) −0.565553 3.56092i −0.0522854 0.329207i
\(118\) 1.50900i 0.138914i
\(119\) 6.71223 5.57363i 0.615309 0.510934i
\(120\) −2.07867 + 3.60036i −0.189755 + 0.328666i
\(121\) 2.33281 + 1.34685i 0.212074 + 0.122441i
\(122\) −1.86145 + 0.498775i −0.168528 + 0.0451570i
\(123\) 4.84406 4.84406i 0.436775 0.436775i
\(124\) 2.94134 + 10.9772i 0.264140 + 0.985783i
\(125\) −8.27861 + 8.27861i −0.740461 + 0.740461i
\(126\) 1.14425 + 0.810019i 0.101938 + 0.0721622i
\(127\) −15.0417 8.68434i −1.33474 0.770611i −0.348716 0.937229i \(-0.613382\pi\)
−0.986022 + 0.166618i \(0.946715\pi\)
\(128\) −8.12796 8.12796i −0.718417 0.718417i
\(129\) −2.51899 + 4.36301i −0.221784 + 0.384142i
\(130\) 3.76320 + 1.44271i 0.330054 + 0.126534i
\(131\) 6.59348 3.80675i 0.576075 0.332597i −0.183497 0.983020i \(-0.558742\pi\)
0.759572 + 0.650423i \(0.225408\pi\)
\(132\) −4.78608 + 1.28243i −0.416575 + 0.111621i
\(133\) −10.3400 + 14.6065i −0.896588 + 1.26654i
\(134\) 0.867588 0.500902i 0.0749482 0.0432714i
\(135\) 2.03763 + 0.545981i 0.175371 + 0.0469906i
\(136\) −4.59533 4.59533i −0.394046 0.394046i
\(137\) 11.1157 + 11.1157i 0.949677 + 0.949677i 0.998793 0.0491165i \(-0.0156406\pi\)
−0.0491165 + 0.998793i \(0.515641\pi\)
\(138\) −4.01538 1.07592i −0.341812 0.0915882i
\(139\) 16.0562 9.27005i 1.36187 0.786275i 0.371996 0.928234i \(-0.378674\pi\)
0.989873 + 0.141959i \(0.0453402\pi\)
\(140\) 8.71712 4.01039i 0.736731 0.338940i
\(141\) −3.53471 + 0.947124i −0.297677 + 0.0797622i
\(142\) −4.69109 + 2.70840i −0.393667 + 0.227284i
\(143\) 4.23063 + 9.49124i 0.353783 + 0.793698i
\(144\) −1.19709 + 2.07341i −0.0997571 + 0.172784i
\(145\) 2.02107 + 2.02107i 0.167841 + 0.167841i
\(146\) 3.23215 + 1.86608i 0.267495 + 0.154438i
\(147\) −2.32633 6.60213i −0.191873 0.544535i
\(148\) −4.94888 + 4.94888i −0.406795 + 0.406795i
\(149\) 5.71487 + 21.3282i 0.468181 + 1.74727i 0.646124 + 0.763233i \(0.276389\pi\)
−0.177943 + 0.984041i \(0.556944\pi\)
\(150\) 0.206066 0.206066i 0.0168252 0.0168252i
\(151\) −17.2088 + 4.61110i −1.40044 + 0.375246i −0.878501 0.477740i \(-0.841456\pi\)
−0.521935 + 0.852986i \(0.674789\pi\)
\(152\) 11.5443 + 6.66512i 0.936369 + 0.540613i
\(153\) −1.64880 + 2.85581i −0.133298 + 0.230878i
\(154\) −3.78966 1.40144i −0.305379 0.112932i
\(155\) 13.9443i 1.12004i
\(156\) 5.78797 + 2.21896i 0.463409 + 0.177659i
\(157\) 3.29871 + 1.90451i 0.263265 + 0.151996i 0.625823 0.779965i \(-0.284763\pi\)
−0.362558 + 0.931961i \(0.618096\pi\)
\(158\) −1.15784 0.310242i −0.0921127 0.0246815i
\(159\) 7.75922i 0.615346i
\(160\) −5.49543 9.51836i −0.434452 0.752493i
\(161\) 13.2599 + 15.9687i 1.04503 + 1.25851i
\(162\) −0.511829 0.137144i −0.0402131 0.0107751i
\(163\) 7.66571 2.05402i 0.600425 0.160883i 0.0542114 0.998529i \(-0.482736\pi\)
0.546213 + 0.837646i \(0.316069\pi\)
\(164\) 3.04827 + 11.3763i 0.238030 + 0.888339i
\(165\) −6.07974 −0.473307
\(166\) −2.97668 −0.231035
\(167\) −2.98897 11.1550i −0.231294 0.863200i −0.979785 0.200055i \(-0.935888\pi\)
0.748491 0.663145i \(-0.230779\pi\)
\(168\) −4.73689 + 2.17925i −0.365459 + 0.168133i
\(169\) 2.69199 12.7182i 0.207076 0.978325i
\(170\) −1.84302 3.19221i −0.141354 0.244832i
\(171\) 1.75066 6.53354i 0.133876 0.499632i
\(172\) −4.33070 7.50099i −0.330213 0.571945i
\(173\) 9.52913 16.5049i 0.724486 1.25485i −0.234699 0.972068i \(-0.575411\pi\)
0.959185 0.282779i \(-0.0912562\pi\)
\(174\) −0.507670 0.507670i −0.0384864 0.0384864i
\(175\) −1.43426 + 0.245298i −0.108420 + 0.0185428i
\(176\) 1.78589 6.66504i 0.134617 0.502396i
\(177\) −0.737061 + 2.75075i −0.0554009 + 0.206759i
\(178\) 6.54541i 0.490599i
\(179\) 9.39442 5.42387i 0.702172 0.405399i −0.105984 0.994368i \(-0.533799\pi\)
0.808156 + 0.588969i \(0.200466\pi\)
\(180\) −2.56447 + 2.56447i −0.191145 + 0.191145i
\(181\) −5.71631 −0.424890 −0.212445 0.977173i \(-0.568143\pi\)
−0.212445 + 0.977173i \(0.568143\pi\)
\(182\) 2.80679 + 4.20389i 0.208053 + 0.311613i
\(183\) −3.63687 −0.268845
\(184\) 10.9325 10.9325i 0.805955 0.805955i
\(185\) −7.43707 + 4.29379i −0.546784 + 0.315686i
\(186\) 3.50266i 0.256827i
\(187\) 2.45979 9.18007i 0.179878 0.671313i
\(188\) 1.62832 6.07696i 0.118757 0.443208i
\(189\) 1.69021 + 2.03549i 0.122944 + 0.148060i
\(190\) 5.34629 + 5.34629i 0.387860 + 0.387860i
\(191\) 11.5025 19.9230i 0.832294 1.44157i −0.0639213 0.997955i \(-0.520361\pi\)
0.896215 0.443620i \(-0.146306\pi\)
\(192\) −1.01378 1.75592i −0.0731633 0.126723i
\(193\) −1.29072 + 4.81703i −0.0929080 + 0.346737i −0.996694 0.0812474i \(-0.974110\pi\)
0.903786 + 0.427985i \(0.140776\pi\)
\(194\) −4.03431 6.98763i −0.289647 0.501683i
\(195\) 6.15525 + 4.46803i 0.440786 + 0.319963i
\(196\) 11.8296 + 2.21161i 0.844971 + 0.157972i
\(197\) 1.17127 + 4.37125i 0.0834496 + 0.311438i 0.995016 0.0997145i \(-0.0317929\pi\)
−0.911566 + 0.411153i \(0.865126\pi\)
\(198\) 1.52716 0.108531
\(199\) −21.8071 −1.54587 −0.772934 0.634487i \(-0.781211\pi\)
−0.772934 + 0.634487i \(0.781211\pi\)
\(200\) 0.280524 + 1.04693i 0.0198361 + 0.0740292i
\(201\) 1.82619 0.489326i 0.128809 0.0345144i
\(202\) 4.28643 + 1.14855i 0.301592 + 0.0808114i
\(203\) 0.604322 + 3.53349i 0.0424151 + 0.248002i
\(204\) −2.83466 4.90977i −0.198466 0.343753i
\(205\) 14.4513i 1.00932i
\(206\) 4.03979 + 1.08246i 0.281466 + 0.0754185i
\(207\) −6.79410 3.92258i −0.472223 0.272638i
\(208\) −6.70624 + 5.43535i −0.464994 + 0.376874i
\(209\) 19.4943i 1.34845i
\(210\) −2.91508 + 0.498558i −0.201160 + 0.0344038i
\(211\) 5.12257 8.87255i 0.352652 0.610811i −0.634061 0.773283i \(-0.718613\pi\)
0.986713 + 0.162472i \(0.0519466\pi\)
\(212\) −11.5526 6.66991i −0.793438 0.458091i
\(213\) −9.87427 + 2.64580i −0.676574 + 0.181288i
\(214\) −7.49959 + 7.49959i −0.512662 + 0.512662i
\(215\) −2.75064 10.2655i −0.187592 0.700103i
\(216\) 1.39354 1.39354i 0.0948182 0.0948182i
\(217\) −10.1049 + 14.2744i −0.685963 + 0.969007i
\(218\) −3.21095 1.85384i −0.217473 0.125558i
\(219\) 4.98041 + 4.98041i 0.336545 + 0.336545i
\(220\) 5.22621 9.05207i 0.352351 0.610290i
\(221\) −9.23682 + 7.48636i −0.621336 + 0.503587i
\(222\) 1.86811 1.07855i 0.125379 0.0723877i
\(223\) −20.9821 + 5.62213i −1.40506 + 0.376486i −0.880161 0.474675i \(-0.842565\pi\)
−0.524904 + 0.851161i \(0.675899\pi\)
\(224\) 1.27205 13.7259i 0.0849927 0.917103i
\(225\) 0.476290 0.274986i 0.0317526 0.0183324i
\(226\) 2.10770 + 0.564756i 0.140202 + 0.0375670i
\(227\) −8.25938 8.25938i −0.548194 0.548194i 0.377724 0.925918i \(-0.376707\pi\)
−0.925918 + 0.377724i \(0.876707\pi\)
\(228\) 8.22284 + 8.22284i 0.544571 + 0.544571i
\(229\) −4.69053 1.25682i −0.309959 0.0830532i 0.100487 0.994938i \(-0.467960\pi\)
−0.410445 + 0.911885i \(0.634627\pi\)
\(230\) 7.59442 4.38464i 0.500761 0.289115i
\(231\) −6.22364 4.40573i −0.409485 0.289876i
\(232\) 2.57924 0.691106i 0.169336 0.0453733i
\(233\) 1.91696 1.10676i 0.125584 0.0725060i −0.435892 0.899999i \(-0.643567\pi\)
0.561476 + 0.827493i \(0.310234\pi\)
\(234\) −1.54613 1.12232i −0.101074 0.0733683i
\(235\) 3.85977 6.68532i 0.251784 0.436102i
\(236\) −3.46198 3.46198i −0.225355 0.225355i
\(237\) −1.95909 1.13108i −0.127256 0.0734715i
\(238\) 0.426614 4.60333i 0.0276533 0.298389i
\(239\) −5.82013 + 5.82013i −0.376473 + 0.376473i −0.869828 0.493355i \(-0.835770\pi\)
0.493355 + 0.869828i \(0.335770\pi\)
\(240\) −1.30717 4.87843i −0.0843776 0.314901i
\(241\) −10.2858 + 10.2858i −0.662564 + 0.662564i −0.955984 0.293420i \(-0.905207\pi\)
0.293420 + 0.955984i \(0.405207\pi\)
\(242\) 1.37871 0.369425i 0.0886271 0.0237476i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) 3.12629 5.41490i 0.200140 0.346653i
\(245\) 13.3181 + 6.37799i 0.850864 + 0.407475i
\(246\) 3.63000i 0.231440i
\(247\) 14.3265 19.7364i 0.911572 1.25580i
\(248\) 11.2819 + 6.51358i 0.716399 + 0.413613i
\(249\) −5.42619 1.45394i −0.343871 0.0921399i
\(250\) 6.20374i 0.392359i
\(251\) 10.7479 + 18.6160i 0.678403 + 1.17503i 0.975462 + 0.220169i \(0.0706610\pi\)
−0.297058 + 0.954859i \(0.596006\pi\)
\(252\) −4.48354 + 0.766806i −0.282436 + 0.0483042i
\(253\) 21.8398 + 5.85196i 1.37306 + 0.367910i
\(254\) −8.88980 + 2.38201i −0.557796 + 0.149461i
\(255\) −1.80043 6.71929i −0.112747 0.420779i
\(256\) −2.03573 −0.127233
\(257\) −7.54278 −0.470506 −0.235253 0.971934i \(-0.575592\pi\)
−0.235253 + 0.971934i \(0.575592\pi\)
\(258\) 0.690929 + 2.57858i 0.0430153 + 0.160535i
\(259\) −10.7246 0.993906i −0.666395 0.0617583i
\(260\) −11.9435 + 5.32371i −0.740706 + 0.330163i
\(261\) −0.677462 1.17340i −0.0419339 0.0726316i
\(262\) 1.04415 3.89681i 0.0645076 0.240746i
\(263\) −11.9190 20.6443i −0.734955 1.27298i −0.954743 0.297432i \(-0.903870\pi\)
0.219787 0.975548i \(-0.429464\pi\)
\(264\) −2.83993 + 4.91890i −0.174785 + 0.302737i
\(265\) −11.5740 11.5740i −0.710987 0.710987i
\(266\) 1.59860 + 9.34705i 0.0980163 + 0.573104i
\(267\) 3.19707 11.9316i 0.195657 0.730203i
\(268\) −0.841260 + 3.13962i −0.0513881 + 0.191783i
\(269\) 27.6300i 1.68463i −0.538985 0.842316i \(-0.681192\pi\)
0.538985 0.842316i \(-0.318808\pi\)
\(270\) 0.968040 0.558898i 0.0589130 0.0340135i
\(271\) −14.6246 + 14.6246i −0.888382 + 0.888382i −0.994368 0.105986i \(-0.966200\pi\)
0.105986 + 0.994368i \(0.466200\pi\)
\(272\) 7.89502 0.478706
\(273\) 3.06313 + 9.03422i 0.185389 + 0.546776i
\(274\) 8.32976 0.503219
\(275\) −1.12080 + 1.12080i −0.0675870 + 0.0675870i
\(276\) 11.6806 6.74378i 0.703088 0.405928i
\(277\) 8.98397i 0.539795i −0.962889 0.269897i \(-0.913010\pi\)
0.962889 0.269897i \(-0.0869898\pi\)
\(278\) 2.54267 9.48936i 0.152499 0.569134i
\(279\) 1.71085 6.38499i 0.102426 0.382259i
\(280\) 3.81510 10.3164i 0.227996 0.616525i
\(281\) 13.3221 + 13.3221i 0.794731 + 0.794731i 0.982259 0.187528i \(-0.0600476\pi\)
−0.187528 + 0.982259i \(0.560048\pi\)
\(282\) −0.969531 + 1.67928i −0.0577347 + 0.0999995i
\(283\) −9.69865 16.7985i −0.576525 0.998570i −0.995874 0.0907452i \(-0.971075\pi\)
0.419349 0.907825i \(-0.362258\pi\)
\(284\) 4.54873 16.9761i 0.269917 1.00734i
\(285\) 7.13438 + 12.3571i 0.422604 + 0.731972i
\(286\) 5.14138 + 1.97107i 0.304016 + 0.116552i
\(287\) −10.4722 + 14.7933i −0.618156 + 0.873222i
\(288\) 1.34849 + 5.03262i 0.0794603 + 0.296550i
\(289\) −6.12581 −0.360342
\(290\) 1.51453 0.0889362
\(291\) −3.94107 14.7083i −0.231030 0.862215i
\(292\) −11.6965 + 3.13407i −0.684486 + 0.183407i
\(293\) −25.2467 6.76482i −1.47493 0.395205i −0.570309 0.821431i \(-0.693176\pi\)
−0.904617 + 0.426225i \(0.859843\pi\)
\(294\) −3.34536 1.60208i −0.195105 0.0934351i
\(295\) −3.00371 5.20258i −0.174883 0.302906i
\(296\) 8.02275i 0.466313i
\(297\) 2.78386 + 0.745933i 0.161536 + 0.0432834i
\(298\) 10.1326 + 5.85008i 0.586967 + 0.338886i
\(299\) −17.8104 21.9748i −1.03000 1.27084i
\(300\) 0.945524i 0.0545899i
\(301\) 4.62324 12.5018i 0.266479 0.720589i
\(302\) −4.72019 + 8.17560i −0.271616 + 0.470453i
\(303\) 7.25272 + 4.18736i 0.416658 + 0.240558i
\(304\) −15.6424 + 4.19137i −0.897153 + 0.240391i
\(305\) 5.42493 5.42493i 0.310630 0.310630i
\(306\) 0.452247 + 1.68781i 0.0258533 + 0.0964857i
\(307\) 1.58354 1.58354i 0.0903771 0.0903771i −0.660473 0.750850i \(-0.729644\pi\)
0.750850 + 0.660473i \(0.229644\pi\)
\(308\) 11.9096 5.47910i 0.678610 0.312201i
\(309\) 6.83541 + 3.94643i 0.388853 + 0.224504i
\(310\) 5.22473 + 5.22473i 0.296745 + 0.296745i
\(311\) −7.59574 + 13.1562i −0.430715 + 0.746020i −0.996935 0.0782342i \(-0.975072\pi\)
0.566220 + 0.824254i \(0.308405\pi\)
\(312\) 6.49012 2.89291i 0.367431 0.163779i
\(313\) −2.66705 + 1.53982i −0.150750 + 0.0870358i −0.573478 0.819221i \(-0.694406\pi\)
0.422727 + 0.906257i \(0.361073\pi\)
\(314\) 1.94957 0.522385i 0.110020 0.0294799i
\(315\) −5.55742 0.515035i −0.313125 0.0290189i
\(316\) 3.36810 1.94458i 0.189471 0.109391i
\(317\) −7.94761 2.12956i −0.446382 0.119608i 0.0286238 0.999590i \(-0.490888\pi\)
−0.475006 + 0.879982i \(0.657554\pi\)
\(318\) 2.90726 + 2.90726i 0.163031 + 0.163031i
\(319\) 2.76124 + 2.76124i 0.154600 + 0.154600i
\(320\) 4.13142 + 1.10701i 0.230953 + 0.0618838i
\(321\) −17.3341 + 10.0079i −0.967497 + 0.558585i
\(322\) 10.9515 + 1.01494i 0.610305 + 0.0565601i
\(323\) −21.5450 + 5.77297i −1.19880 + 0.321217i
\(324\) 1.48889 0.859611i 0.0827161 0.0477562i
\(325\) 1.95841 0.311038i 0.108633 0.0172533i
\(326\) 2.10261 3.64184i 0.116453 0.201703i
\(327\) −4.94774 4.94774i −0.273611 0.273611i
\(328\) 11.6920 + 6.75038i 0.645583 + 0.372728i
\(329\) 8.79569 4.04654i 0.484922 0.223093i
\(330\) −2.27799 + 2.27799i −0.125399 + 0.125399i
\(331\) 5.70505 + 21.2915i 0.313578 + 1.17029i 0.925306 + 0.379221i \(0.123808\pi\)
−0.611728 + 0.791068i \(0.709525\pi\)
\(332\) 6.82918 6.82918i 0.374800 0.374800i
\(333\) 3.93218 1.05363i 0.215482 0.0577383i
\(334\) −5.29953 3.05969i −0.289978 0.167419i
\(335\) −1.99413 + 3.45393i −0.108951 + 0.188709i
\(336\) 2.19708 5.94114i 0.119861 0.324116i
\(337\) 6.60942i 0.360038i −0.983663 0.180019i \(-0.942384\pi\)
0.983663 0.180019i \(-0.0576159\pi\)
\(338\) −3.75668 5.77398i −0.204336 0.314063i
\(339\) 3.56627 + 2.05899i 0.193693 + 0.111829i
\(340\) 11.5520 + 3.09534i 0.626493 + 0.167868i
\(341\) 19.0511i 1.03168i
\(342\) −1.79207 3.10396i −0.0969043 0.167843i
\(343\) 9.01149 + 16.1800i 0.486574 + 0.873639i
\(344\) −9.59032 2.56972i −0.517075 0.138550i
\(345\) 15.9855 4.28331i 0.860631 0.230605i
\(346\) −2.61373 9.75457i −0.140515 0.524409i
\(347\) 15.4106 0.827285 0.413642 0.910439i \(-0.364256\pi\)
0.413642 + 0.910439i \(0.364256\pi\)
\(348\) 2.32942 0.124870
\(349\) 0.658426 + 2.45728i 0.0352447 + 0.131535i 0.981307 0.192451i \(-0.0616436\pi\)
−0.946062 + 0.323986i \(0.894977\pi\)
\(350\) −0.445488 + 0.629307i −0.0238123 + 0.0336379i
\(351\) −2.27024 2.80107i −0.121177 0.149510i
\(352\) −7.50800 13.0042i −0.400178 0.693128i
\(353\) −1.30540 + 4.87182i −0.0694794 + 0.259301i −0.991925 0.126827i \(-0.959521\pi\)
0.922445 + 0.386127i \(0.126187\pi\)
\(354\) 0.754498 + 1.30683i 0.0401011 + 0.0694572i
\(355\) 10.7823 18.6756i 0.572267 0.991195i
\(356\) 15.0166 + 15.0166i 0.795880 + 0.795880i
\(357\) 3.02614 8.18302i 0.160160 0.433091i
\(358\) 1.48771 5.55219i 0.0786277 0.293443i
\(359\) −2.50899 + 9.36366i −0.132419 + 0.494195i −0.999995 0.00310948i \(-0.999010\pi\)
0.867576 + 0.497305i \(0.165677\pi\)
\(360\) 4.15733i 0.219111i
\(361\) 23.1678 13.3760i 1.21936 0.703998i
\(362\) −2.14181 + 2.14181i −0.112571 + 0.112571i
\(363\) 2.69370 0.141383
\(364\) −16.0841 3.20525i −0.843034 0.168001i
\(365\) −14.8580 −0.777705
\(366\) −1.36268 + 1.36268i −0.0712284 + 0.0712284i
\(367\) −6.48275 + 3.74282i −0.338397 + 0.195373i −0.659563 0.751649i \(-0.729259\pi\)
0.321166 + 0.947023i \(0.395925\pi\)
\(368\) 18.7826i 0.979113i
\(369\) 1.77305 6.61712i 0.0923013 0.344473i
\(370\) −1.17774 + 4.39538i −0.0612277 + 0.228505i
\(371\) −3.46076 20.2352i −0.179674 1.05056i
\(372\) 8.03588 + 8.03588i 0.416641 + 0.416641i
\(373\) −9.46898 + 16.4008i −0.490285 + 0.849199i −0.999937 0.0111813i \(-0.996441\pi\)
0.509652 + 0.860381i \(0.329774\pi\)
\(374\) −2.51799 4.36128i −0.130202 0.225517i
\(375\) −3.03018 + 11.3088i −0.156478 + 0.583983i
\(376\) −3.60590 6.24561i −0.185960 0.322092i
\(377\) −0.766281 4.82478i −0.0394655 0.248489i
\(378\) 1.39596 + 0.129371i 0.0718005 + 0.00665412i
\(379\) 6.61698 + 24.6949i 0.339891 + 1.26849i 0.898468 + 0.439039i \(0.144681\pi\)
−0.558577 + 0.829453i \(0.688652\pi\)
\(380\) −24.5312 −1.25842
\(381\) −17.3687 −0.889825
\(382\) −3.15501 11.7747i −0.161424 0.602444i
\(383\) 8.70527 2.33257i 0.444819 0.119189i −0.0294554 0.999566i \(-0.509377\pi\)
0.474274 + 0.880377i \(0.342711\pi\)
\(384\) −11.1030 2.97504i −0.566598 0.151819i
\(385\) 15.8553 2.71168i 0.808060 0.138200i
\(386\) 1.32126 + 2.28848i 0.0672501 + 0.116481i
\(387\) 5.03797i 0.256095i
\(388\) 25.2868 + 6.77558i 1.28374 + 0.343978i
\(389\) 24.4866 + 14.1373i 1.24152 + 0.716792i 0.969404 0.245472i \(-0.0789431\pi\)
0.272116 + 0.962264i \(0.412276\pi\)
\(390\) 3.98038 0.632173i 0.201555 0.0320113i
\(391\) 25.8702i 1.30831i
\(392\) 11.3813 7.79597i 0.574841 0.393756i
\(393\) 3.80675 6.59348i 0.192025 0.332597i
\(394\) 2.07670 + 1.19898i 0.104623 + 0.0604038i
\(395\) 4.60944 1.23510i 0.231926 0.0621444i
\(396\) −3.50365 + 3.50365i −0.176065 + 0.176065i
\(397\) 4.40344 + 16.4338i 0.221002 + 0.824791i 0.983967 + 0.178351i \(0.0570763\pi\)
−0.762965 + 0.646440i \(0.776257\pi\)
\(398\) −8.17081 + 8.17081i −0.409566 + 0.409566i
\(399\) −1.65143 + 17.8195i −0.0826749 + 0.892093i
\(400\) −1.14032 0.658363i −0.0570159 0.0329182i
\(401\) 4.03016 + 4.03016i 0.201256 + 0.201256i 0.800538 0.599282i \(-0.204547\pi\)
−0.599282 + 0.800538i \(0.704547\pi\)
\(402\) 0.500902 0.867588i 0.0249827 0.0432714i
\(403\) 14.0008 19.2877i 0.697427 0.960789i
\(404\) −12.4690 + 7.19901i −0.620358 + 0.358164i
\(405\) 2.03763 0.545981i 0.101251 0.0271300i
\(406\) 1.55038 + 1.09751i 0.0769438 + 0.0544687i
\(407\) −10.1607 + 5.86629i −0.503648 + 0.290781i
\(408\) −6.27734 1.68201i −0.310775 0.0832718i
\(409\) −8.37498 8.37498i −0.414116 0.414116i 0.469054 0.883170i \(-0.344595\pi\)
−0.883170 + 0.469054i \(0.844595\pi\)
\(410\) 5.41468 + 5.41468i 0.267412 + 0.267412i
\(411\) 15.1843 + 4.06862i 0.748986 + 0.200690i
\(412\) −11.7516 + 6.78479i −0.578960 + 0.334262i
\(413\) 0.695284 7.50238i 0.0342127 0.369168i
\(414\) −4.01538 + 1.07592i −0.197345 + 0.0528785i
\(415\) 10.2627 5.92519i 0.503778 0.290856i
\(416\) −1.95564 + 18.6834i −0.0958831 + 0.916029i
\(417\) 9.27005 16.0562i 0.453956 0.786275i
\(418\) 7.30424 + 7.30424i 0.357262 + 0.357262i
\(419\) −9.24123 5.33542i −0.451463 0.260653i 0.256985 0.966415i \(-0.417271\pi\)
−0.708448 + 0.705763i \(0.750604\pi\)
\(420\) 5.54405 7.83166i 0.270522 0.382146i
\(421\) −7.86566 + 7.86566i −0.383349 + 0.383349i −0.872307 0.488958i \(-0.837377\pi\)
0.488958 + 0.872307i \(0.337377\pi\)
\(422\) −1.40506 5.24376i −0.0683973 0.255262i
\(423\) −2.58759 + 2.58759i −0.125813 + 0.125813i
\(424\) −14.7705 + 3.95774i −0.717319 + 0.192205i
\(425\) −1.57061 0.906795i −0.0761860 0.0439860i
\(426\) −2.70840 + 4.69109i −0.131222 + 0.227284i
\(427\) 9.48453 1.62211i 0.458989 0.0784995i
\(428\) 34.4115i 1.66334i
\(429\) 8.40945 + 6.10434i 0.406012 + 0.294720i
\(430\) −4.87696 2.81571i −0.235188 0.135786i
\(431\) 6.29747 + 1.68740i 0.303338 + 0.0812793i 0.407278 0.913304i \(-0.366478\pi\)
−0.103939 + 0.994584i \(0.533145\pi\)
\(432\) 2.39417i 0.115190i
\(433\) 11.6587 + 20.1934i 0.560281 + 0.970435i 0.997472 + 0.0710664i \(0.0226402\pi\)
−0.437191 + 0.899369i \(0.644026\pi\)
\(434\) 1.56225 + 9.13453i 0.0749905 + 0.438472i
\(435\) 2.76083 + 0.739763i 0.132372 + 0.0354689i
\(436\) 11.6198 3.11351i 0.556486 0.149110i
\(437\) −13.7342 51.2566i −0.656994 2.45194i
\(438\) 3.73217 0.178330
\(439\) 5.87248 0.280278 0.140139 0.990132i \(-0.455245\pi\)
0.140139 + 0.990132i \(0.455245\pi\)
\(440\) −3.10109 11.5734i −0.147839 0.551742i
\(441\) −5.31573 4.55445i −0.253130 0.216879i
\(442\) −0.655871 + 6.26593i −0.0311966 + 0.298040i
\(443\) −11.2685 19.5176i −0.535381 0.927308i −0.999145 0.0413488i \(-0.986835\pi\)
0.463763 0.885959i \(-0.346499\pi\)
\(444\) −1.81142 + 6.76030i −0.0859660 + 0.320829i
\(445\) 13.0289 + 22.5667i 0.617628 + 1.06976i
\(446\) −5.75515 + 9.96820i −0.272514 + 0.472008i
\(447\) 15.6133 + 15.6133i 0.738485 + 0.738485i
\(448\) 3.42700 + 4.12707i 0.161910 + 0.194986i
\(449\) −1.20603 + 4.50095i −0.0569159 + 0.212413i −0.988527 0.151043i \(-0.951737\pi\)
0.931611 + 0.363456i \(0.118403\pi\)
\(450\) 0.0754255 0.281492i 0.00355559 0.0132696i
\(451\) 19.7437i 0.929695i
\(452\) −6.13121 + 3.53986i −0.288388 + 0.166501i
\(453\) −12.5977 + 12.5977i −0.591894 + 0.591894i
\(454\) −6.18933 −0.290480
\(455\) −18.0450 8.90676i −0.845963 0.417556i
\(456\) 13.3302 0.624246
\(457\) −19.2757 + 19.2757i −0.901678 + 0.901678i −0.995581 0.0939032i \(-0.970066\pi\)
0.0939032 + 0.995581i \(0.470066\pi\)
\(458\) −2.22838 + 1.28656i −0.104125 + 0.0601169i
\(459\) 3.29760i 0.153919i
\(460\) −7.36396 + 27.4827i −0.343346 + 1.28139i
\(461\) −5.21155 + 19.4498i −0.242726 + 0.905866i 0.731787 + 0.681534i \(0.238687\pi\)
−0.974513 + 0.224332i \(0.927980\pi\)
\(462\) −3.98266 + 0.681143i −0.185290 + 0.0316896i
\(463\) 6.95272 + 6.95272i 0.323120 + 0.323120i 0.849963 0.526843i \(-0.176624\pi\)
−0.526843 + 0.849963i \(0.676624\pi\)
\(464\) −1.62196 + 2.80932i −0.0752976 + 0.130419i
\(465\) 6.97217 + 12.0761i 0.323327 + 0.560018i
\(466\) 0.303570 1.13294i 0.0140626 0.0524824i
\(467\) 7.90161 + 13.6860i 0.365643 + 0.633312i 0.988879 0.148722i \(-0.0475159\pi\)
−0.623236 + 0.782034i \(0.714183\pi\)
\(468\) 6.12201 0.972311i 0.282990 0.0449451i
\(469\) −4.54424 + 2.09062i −0.209834 + 0.0965359i
\(470\) −1.05869 3.95109i −0.0488338 0.182250i
\(471\) 3.80902 0.175510
\(472\) −5.61229 −0.258327
\(473\) −3.75799 14.0250i −0.172793 0.644871i
\(474\) −1.15784 + 0.310242i −0.0531813 + 0.0142499i
\(475\) 3.59326 + 0.962812i 0.164870 + 0.0441768i
\(476\) 9.58231 + 11.5398i 0.439205 + 0.528926i
\(477\) 3.87961 + 6.71968i 0.177635 + 0.307673i
\(478\) 4.36143i 0.199487i
\(479\) −31.8547 8.53543i −1.45548 0.389994i −0.557552 0.830142i \(-0.688259\pi\)
−0.897925 + 0.440148i \(0.854926\pi\)
\(480\) −9.51836 5.49543i −0.434452 0.250831i
\(481\) 14.5981 + 1.52802i 0.665615 + 0.0696716i
\(482\) 7.70784i 0.351082i
\(483\) 19.4678 + 7.19933i 0.885815 + 0.327581i
\(484\) −2.31553 + 4.01062i −0.105252 + 0.182301i
\(485\) 27.8183 + 16.0609i 1.26316 + 0.729287i
\(486\) −0.511829 + 0.137144i −0.0232170 + 0.00622099i
\(487\) 19.1464 19.1464i 0.867606 0.867606i −0.124601 0.992207i \(-0.539765\pi\)
0.992207 + 0.124601i \(0.0397651\pi\)
\(488\) −1.85506 6.92316i −0.0839745 0.313397i
\(489\) 5.61169 5.61169i 0.253769 0.253769i
\(490\) 7.37984 2.60037i 0.333387 0.117473i
\(491\) −10.9028 6.29476i −0.492038 0.284078i 0.233381 0.972385i \(-0.425021\pi\)
−0.725420 + 0.688307i \(0.758354\pi\)
\(492\) 8.32802 + 8.32802i 0.375456 + 0.375456i
\(493\) −2.23400 + 3.86941i −0.100614 + 0.174269i
\(494\) −2.02703 12.7629i −0.0912002 0.574228i
\(495\) −5.26521 + 3.03987i −0.236654 + 0.136632i
\(496\) −15.2868 + 4.09607i −0.686396 + 0.183919i
\(497\) 24.5709 11.3041i 1.10216 0.507057i
\(498\) −2.57788 + 1.48834i −0.115518 + 0.0666942i
\(499\) 24.0438 + 6.44253i 1.07635 + 0.288407i 0.753100 0.657906i \(-0.228558\pi\)
0.323251 + 0.946313i \(0.395224\pi\)
\(500\) −14.2328 14.2328i −0.636509 0.636509i
\(501\) −8.16603 8.16603i −0.364831 0.364831i
\(502\) 11.0022 + 2.94803i 0.491052 + 0.131577i
\(503\) 22.2573 12.8503i 0.992404 0.572965i 0.0864120 0.996259i \(-0.472460\pi\)
0.905992 + 0.423295i \(0.139127\pi\)
\(504\) −3.01264 + 4.25573i −0.134194 + 0.189565i
\(505\) −17.0646 + 4.57244i −0.759364 + 0.203471i
\(506\) 10.3757 5.99041i 0.461256 0.266306i
\(507\) −4.02778 12.3603i −0.178880 0.548940i
\(508\) 14.9303 25.8601i 0.662426 1.14735i
\(509\) 6.37261 + 6.37261i 0.282461 + 0.282461i 0.834090 0.551629i \(-0.185993\pi\)
−0.551629 + 0.834090i \(0.685993\pi\)
\(510\) −3.19221 1.84302i −0.141354 0.0816105i
\(511\) −15.2097 10.7670i −0.672837 0.476303i
\(512\) 15.4932 15.4932i 0.684708 0.684708i
\(513\) −1.75066 6.53354i −0.0772934 0.288463i
\(514\) −2.82617 + 2.82617i −0.124657 + 0.124657i
\(515\) −16.0827 + 4.30935i −0.708689 + 0.189893i
\(516\) −7.50099 4.33070i −0.330213 0.190648i
\(517\) 5.27332 9.13366i 0.231920 0.401698i
\(518\) −4.39076 + 3.64595i −0.192919 + 0.160194i
\(519\) 19.0583i 0.836564i
\(520\) −5.36577 + 13.9962i −0.235305 + 0.613773i
\(521\) −10.2174 5.89904i −0.447634 0.258442i 0.259196 0.965825i \(-0.416542\pi\)
−0.706831 + 0.707383i \(0.749876\pi\)
\(522\) −0.693490 0.185820i −0.0303532 0.00813312i
\(523\) 28.6286i 1.25184i −0.779888 0.625920i \(-0.784724\pi\)
0.779888 0.625920i \(-0.215276\pi\)
\(524\) 6.54464 + 11.3357i 0.285904 + 0.495200i
\(525\) −1.11946 + 0.929566i −0.0488572 + 0.0405696i
\(526\) −12.2010 3.26924i −0.531987 0.142545i
\(527\) −21.0552 + 5.64172i −0.917178 + 0.245757i
\(528\) −1.78589 6.66504i −0.0777210 0.290059i
\(529\) −38.5465 −1.67593
\(530\) −8.67323 −0.376741
\(531\) 0.737061 + 2.75075i 0.0319857 + 0.119372i
\(532\) −25.1118 17.7767i −1.08873 0.770717i
\(533\) 14.5098 19.9889i 0.628487 0.865815i
\(534\) −3.27271 5.66849i −0.141624 0.245300i
\(535\) 10.9282 40.7846i 0.472468 1.76327i
\(536\) 1.86297 + 3.22675i 0.0804679 + 0.139375i
\(537\) 5.42387 9.39442i 0.234057 0.405399i
\(538\) −10.3525 10.3525i −0.446330 0.446330i
\(539\) 18.1956 + 8.71378i 0.783739 + 0.375329i
\(540\) −0.938663 + 3.50314i −0.0403936 + 0.150751i
\(541\) 5.54336 20.6881i 0.238328 0.889451i −0.738293 0.674480i \(-0.764368\pi\)
0.976621 0.214971i \(-0.0689655\pi\)
\(542\) 10.9592i 0.470740i
\(543\) −4.95047 + 2.85815i −0.212445 + 0.122655i
\(544\) 12.1488 12.1488i 0.520876 0.520876i
\(545\) 14.7606 0.632273
\(546\) 4.53270 + 2.23728i 0.193982 + 0.0957466i
\(547\) −26.1223 −1.11691 −0.558455 0.829535i \(-0.688606\pi\)
−0.558455 + 0.829535i \(0.688606\pi\)
\(548\) −19.1103 + 19.1103i −0.816353 + 0.816353i
\(549\) −3.14962 + 1.81843i −0.134422 + 0.0776089i
\(550\) 0.839896i 0.0358133i
\(551\) 2.37201 8.85245i 0.101051 0.377127i
\(552\) 4.00158 14.9341i 0.170318 0.635637i
\(553\) 5.61355 + 2.07593i 0.238713 + 0.0882777i
\(554\) −3.36616 3.36616i −0.143014 0.143014i
\(555\) −4.29379 + 7.43707i −0.182261 + 0.315686i
\(556\) 15.9373 + 27.6042i 0.675891 + 1.17068i
\(557\) 8.92401 33.3049i 0.378123 1.41117i −0.470606 0.882344i \(-0.655965\pi\)
0.848728 0.528829i \(-0.177369\pi\)
\(558\) −1.75133 3.03339i −0.0741397 0.128414i
\(559\) −6.50239 + 16.9610i −0.275022 + 0.717372i
\(560\) 5.58483 + 12.1394i 0.236002 + 0.512982i
\(561\) −2.45979 9.18007i −0.103853 0.387583i
\(562\) 9.98320 0.421116
\(563\) 16.0219 0.675243 0.337622 0.941282i \(-0.390378\pi\)
0.337622 + 0.941282i \(0.390378\pi\)
\(564\) −1.62832 6.07696i −0.0685645 0.255886i
\(565\) −8.39090 + 2.24834i −0.353008 + 0.0945882i
\(566\) −9.92810 2.66023i −0.417309 0.111818i
\(567\) 2.48150 + 0.917679i 0.104213 + 0.0385389i
\(568\) −10.0731 17.4472i −0.422660 0.732068i
\(569\) 26.4737i 1.10983i −0.831906 0.554917i \(-0.812750\pi\)
0.831906 0.554917i \(-0.187250\pi\)
\(570\) 7.30316 + 1.95688i 0.305896 + 0.0819646i
\(571\) −13.5784 7.83948i −0.568237 0.328072i 0.188208 0.982129i \(-0.439732\pi\)
−0.756445 + 0.654057i \(0.773065\pi\)
\(572\) −16.3176 + 7.27339i −0.682271 + 0.304116i
\(573\) 23.0051i 0.961050i
\(574\) 1.61905 + 9.46662i 0.0675777 + 0.395129i
\(575\) 2.15731 3.73657i 0.0899660 0.155826i
\(576\) −1.75592 1.01378i −0.0731633 0.0422409i
\(577\) 28.1675 7.54746i 1.17263 0.314205i 0.380630 0.924728i \(-0.375707\pi\)
0.791999 + 0.610523i \(0.209041\pi\)
\(578\) −2.29525 + 2.29525i −0.0954698 + 0.0954698i
\(579\) 1.29072 + 4.81703i 0.0536404 + 0.200189i
\(580\) −3.47467 + 3.47467i −0.144278 + 0.144278i
\(581\) 14.7994 + 1.37153i 0.613981 + 0.0569008i
\(582\) −6.98763 4.03431i −0.289647 0.167228i
\(583\) −15.8127 15.8127i −0.654896 0.654896i
\(584\) −6.94038 + 12.0211i −0.287195 + 0.497436i
\(585\) 7.56462 + 0.791808i 0.312758 + 0.0327372i
\(586\) −11.9942 + 6.92487i −0.495477 + 0.286064i
\(587\) 7.40030 1.98290i 0.305443 0.0818432i −0.102842 0.994698i \(-0.532794\pi\)
0.408285 + 0.912854i \(0.366127\pi\)
\(588\) 11.3505 3.99948i 0.468088 0.164936i
\(589\) 38.7215 22.3558i 1.59549 0.921157i
\(590\) −3.07478 0.823884i −0.126587 0.0339188i
\(591\) 3.19997 + 3.19997i 0.131629 + 0.131629i
\(592\) −6.89176 6.89176i −0.283249 0.283249i
\(593\) −17.5955 4.71470i −0.722561 0.193610i −0.121247 0.992622i \(-0.538689\pi\)
−0.601314 + 0.799013i \(0.705356\pi\)
\(594\) 1.32256 0.763581i 0.0542653 0.0313301i
\(595\) 7.69225 + 16.7201i 0.315351 + 0.685458i
\(596\) −36.6679 + 9.82514i −1.50198 + 0.402453i
\(597\) −18.8855 + 10.9036i −0.772934 + 0.446253i
\(598\) −14.9069 1.56035i −0.609590 0.0638073i
\(599\) −7.09934 + 12.2964i −0.290071 + 0.502418i −0.973826 0.227293i \(-0.927012\pi\)
0.683755 + 0.729712i \(0.260346\pi\)
\(600\) 0.766406 + 0.766406i 0.0312884 + 0.0312884i
\(601\) 11.4194 + 6.59300i 0.465807 + 0.268934i 0.714483 0.699653i \(-0.246662\pi\)
−0.248676 + 0.968587i \(0.579995\pi\)
\(602\) −2.95196 6.41648i −0.120313 0.261516i
\(603\) 1.33686 1.33686i 0.0544413 0.0544413i
\(604\) −7.92750 29.5858i −0.322565 1.20383i
\(605\) −4.01805 + 4.01805i −0.163357 + 0.163357i
\(606\) 4.28643 1.14855i 0.174124 0.0466565i
\(607\) 9.77151 + 5.64158i 0.396613 + 0.228985i 0.685022 0.728523i \(-0.259793\pi\)
−0.288408 + 0.957508i \(0.593126\pi\)
\(608\) −17.6208 + 30.5201i −0.714617 + 1.23775i
\(609\) 2.29010 + 2.75793i 0.0927996 + 0.111757i
\(610\) 4.06528i 0.164598i
\(611\) −12.0512 + 5.37170i −0.487539 + 0.217316i
\(612\) −4.90977 2.83466i −0.198466 0.114584i
\(613\) −9.62690 2.57952i −0.388827 0.104186i 0.0591091 0.998252i \(-0.481174\pi\)
−0.447936 + 0.894066i \(0.647841\pi\)
\(614\) 1.18665i 0.0478894i
\(615\) 7.22564 + 12.5152i 0.291366 + 0.504661i
\(616\) 5.21228 14.0946i 0.210009 0.567887i
\(617\) 37.7991 + 10.1282i 1.52173 + 0.407747i 0.920312 0.391184i \(-0.127935\pi\)
0.601422 + 0.798932i \(0.294601\pi\)
\(618\) 4.03979 1.08246i 0.162504 0.0435429i
\(619\) −5.02957 18.7706i −0.202156 0.754455i −0.990298 0.138962i \(-0.955624\pi\)
0.788142 0.615493i \(-0.211043\pi\)
\(620\) −23.9734 −0.962795
\(621\) −7.84515 −0.314815
\(622\) 2.08342 + 7.77544i 0.0835376 + 0.311767i
\(623\) −3.01586 + 32.5423i −0.120828 + 1.30378i
\(624\) −3.09010 + 8.06027i −0.123703 + 0.322669i
\(625\) −10.9738 19.0072i −0.438953 0.760290i
\(626\) −0.422355 + 1.57625i −0.0168807 + 0.0629996i
\(627\) 9.74717 + 16.8826i 0.389264 + 0.674226i
\(628\) −3.27427 + 5.67121i −0.130658 + 0.226306i
\(629\) −9.49234 9.49234i −0.378484 0.378484i
\(630\) −2.27526 + 1.88931i −0.0906485 + 0.0752718i
\(631\) −2.13268 + 7.95928i −0.0849008 + 0.316854i −0.995295 0.0968871i \(-0.969111\pi\)
0.910395 + 0.413741i \(0.135778\pi\)
\(632\) 1.15386 4.30626i 0.0458980 0.171294i
\(633\) 10.2451i 0.407207i
\(634\) −3.77576 + 2.17994i −0.149955 + 0.0865764i
\(635\) 25.9080 25.9080i 1.02813 1.02813i
\(636\) −13.3398 −0.528958
\(637\) −12.0177 22.1940i −0.476160 0.879359i
\(638\) 2.06919 0.0819200
\(639\) −7.22847 + 7.22847i −0.285954 + 0.285954i
\(640\) 20.9995 12.1241i 0.830078 0.479246i
\(641\) 39.9291i 1.57710i 0.614968 + 0.788552i \(0.289169\pi\)
−0.614968 + 0.788552i \(0.710831\pi\)
\(642\) −2.74504 + 10.2446i −0.108338 + 0.404324i
\(643\) 3.71724 13.8729i 0.146594 0.547095i −0.853086 0.521771i \(-0.825272\pi\)
0.999679 0.0253239i \(-0.00806170\pi\)
\(644\) −27.4537 + 22.7968i −1.08183 + 0.898319i
\(645\) −7.51488 7.51488i −0.295898 0.295898i
\(646\) −5.90955 + 10.2356i −0.232508 + 0.402716i
\(647\) 4.52657 + 7.84025i 0.177958 + 0.308232i 0.941181 0.337903i \(-0.109718\pi\)
−0.763223 + 0.646135i \(0.776384\pi\)
\(648\) 0.510070 1.90361i 0.0200374 0.0747807i
\(649\) −4.10375 7.10790i −0.161086 0.279010i
\(650\) 0.617244 0.850327i 0.0242103 0.0333526i
\(651\) −1.61388 + 17.4144i −0.0632531 + 0.682524i
\(652\) 3.53132 + 13.1791i 0.138297 + 0.516132i
\(653\) 33.8493 1.32462 0.662312 0.749228i \(-0.269575\pi\)
0.662312 + 0.749228i \(0.269575\pi\)
\(654\) −3.70769 −0.144982
\(655\) 4.15682 + 15.5135i 0.162420 + 0.606161i
\(656\) −15.8425 + 4.24499i −0.618546 + 0.165739i
\(657\) 6.80337 + 1.82296i 0.265425 + 0.0711203i
\(658\) 1.77944 4.81179i 0.0693697 0.187583i
\(659\) 14.7702 + 25.5827i 0.575365 + 0.996561i 0.996002 + 0.0893323i \(0.0284733\pi\)
−0.420637 + 0.907229i \(0.638193\pi\)
\(660\) 10.4524i 0.406860i
\(661\) −20.8758 5.59365i −0.811973 0.217568i −0.171139 0.985247i \(-0.554745\pi\)
−0.640834 + 0.767679i \(0.721411\pi\)
\(662\) 10.1152 + 5.84002i 0.393139 + 0.226979i
\(663\) −4.25614 + 11.1018i −0.165295 + 0.431158i
\(664\) 11.0709i 0.429636i
\(665\) −24.1171 29.0438i −0.935223 1.12627i
\(666\) 1.07855 1.86811i 0.0417931 0.0723877i
\(667\) −9.20550 5.31480i −0.356438 0.205790i
\(668\) 19.1779 5.13871i 0.742016 0.198823i
\(669\) −15.3600 + 15.3600i −0.593850 + 0.593850i
\(670\) 0.546967 + 2.04131i 0.0211312 + 0.0788626i
\(671\) 7.41167 7.41167i 0.286124 0.286124i
\(672\) −5.76134 12.5230i −0.222249 0.483087i
\(673\) −40.0862 23.1438i −1.54521 0.892126i −0.998497 0.0548050i \(-0.982546\pi\)
−0.546711 0.837321i \(-0.684120\pi\)
\(674\) −2.47645 2.47645i −0.0953893 0.0953893i
\(675\) 0.274986 0.476290i 0.0105842 0.0183324i
\(676\) 21.8655 + 4.62813i 0.840979 + 0.178005i
\(677\) 3.29683 1.90343i 0.126707 0.0731546i −0.435307 0.900282i \(-0.643360\pi\)
0.562014 + 0.827128i \(0.310027\pi\)
\(678\) 2.10770 0.564756i 0.0809457 0.0216893i
\(679\) 16.8380 + 36.5997i 0.646184 + 1.40457i
\(680\) 11.8725 6.85462i 0.455291 0.262863i
\(681\) −11.2825 3.02314i −0.432347 0.115847i
\(682\) 7.13816 + 7.13816i 0.273334 + 0.273334i
\(683\) −7.72051 7.72051i −0.295417 0.295417i 0.543799 0.839216i \(-0.316985\pi\)
−0.839216 + 0.543799i \(0.816985\pi\)
\(684\) 11.2326 + 3.00977i 0.429489 + 0.115081i
\(685\) −28.7186 + 16.5807i −1.09728 + 0.633515i
\(686\) 9.43888 + 2.68594i 0.360378 + 0.102550i
\(687\) −4.69053 + 1.25682i −0.178955 + 0.0479508i
\(688\) 10.4458 6.03088i 0.398242 0.229925i
\(689\) 4.38825 + 27.6300i 0.167179 + 1.05262i
\(690\) 4.38464 7.59442i 0.166920 0.289115i
\(691\) −16.3121 16.3121i −0.620541 0.620541i 0.325129 0.945670i \(-0.394592\pi\)
−0.945670 + 0.325129i \(0.894592\pi\)
\(692\) 28.3756 + 16.3827i 1.07868 + 0.622776i
\(693\) −7.59269 0.703654i −0.288423 0.0267296i
\(694\) 5.77412 5.77412i 0.219183 0.219183i
\(695\) 10.1225 + 37.7778i 0.383970 + 1.43300i
\(696\) 1.88814 1.88814i 0.0715697 0.0715697i
\(697\) −21.8206 + 5.84682i −0.826515 + 0.221464i
\(698\) 1.16741 + 0.674003i 0.0441870 + 0.0255114i
\(699\) 1.10676 1.91696i 0.0418614 0.0725060i
\(700\) −0.421722 2.46582i −0.0159396 0.0931992i
\(701\) 12.3895i 0.467945i −0.972243 0.233973i \(-0.924827\pi\)
0.972243 0.233973i \(-0.0751726\pi\)
\(702\) −1.90015 0.198893i −0.0717164 0.00750674i
\(703\) 23.8465 + 13.7678i 0.899389 + 0.519262i
\(704\) 5.64445 + 1.51243i 0.212733 + 0.0570017i
\(705\) 7.71955i 0.290735i
\(706\) 1.33628 + 2.31451i 0.0502917 + 0.0871077i
\(707\) −20.7819 7.68531i −0.781584 0.289036i
\(708\) −4.72915 1.26717i −0.177732 0.0476232i
\(709\) 23.0444 6.17472i 0.865449 0.231896i 0.201330 0.979523i \(-0.435474\pi\)
0.664119 + 0.747627i \(0.268807\pi\)
\(710\) −2.95747 11.0374i −0.110992 0.414227i
\(711\) −2.26216 −0.0848375
\(712\) 24.3438 0.912324
\(713\) −13.4219 50.0912i −0.502654 1.87593i
\(714\) −1.93220 4.19990i −0.0723109 0.157177i
\(715\) −21.6495 + 3.43842i −0.809645 + 0.128589i
\(716\) 9.32484 + 16.1511i 0.348486 + 0.603595i
\(717\) −2.13032 + 7.95045i −0.0795581 + 0.296915i
\(718\) 2.56834 + 4.44850i 0.0958498 + 0.166017i
\(719\) 20.8277 36.0747i 0.776744 1.34536i −0.157065 0.987588i \(-0.550203\pi\)
0.933809 0.357771i \(-0.116463\pi\)
\(720\) −3.57126 3.57126i −0.133093 0.133093i
\(721\) −19.5862 7.24311i −0.729427 0.269747i
\(722\) 3.66887 13.6924i 0.136541 0.509579i
\(723\) −3.76485 + 14.0506i −0.140016 + 0.522548i
\(724\) 9.82760i 0.365240i
\(725\) 0.645337 0.372585i 0.0239672 0.0138375i
\(726\) 1.00929 1.00929i 0.0374582 0.0374582i
\(727\) 31.5386 1.16970 0.584851 0.811141i \(-0.301153\pi\)
0.584851 + 0.811141i \(0.301153\pi\)
\(728\) −15.6352 + 10.4391i −0.579479 + 0.386898i
\(729\) −1.00000 −0.0370370
\(730\) −5.56708 + 5.56708i −0.206047 + 0.206047i
\(731\) 14.3875 8.30662i 0.532140 0.307231i
\(732\) 6.25258i 0.231102i
\(733\) −8.44436 + 31.5148i −0.311899 + 1.16402i 0.614942 + 0.788572i \(0.289179\pi\)
−0.926842 + 0.375452i \(0.877487\pi\)
\(734\) −1.02661 + 3.83137i −0.0378929 + 0.141418i
\(735\) 14.7228 1.13556i 0.543060 0.0418858i
\(736\) 28.9026 + 28.9026i 1.06536 + 1.06536i
\(737\) −2.72443 + 4.71885i −0.100356 + 0.173821i
\(738\) −1.81500 3.14367i −0.0668110 0.115720i
\(739\) 8.60509 32.1146i 0.316543 1.18136i −0.606001 0.795464i \(-0.707227\pi\)
0.922544 0.385892i \(-0.126106\pi\)
\(740\) −7.38199 12.7860i −0.271367 0.470022i
\(741\) 2.53889 24.2555i 0.0932683 0.891048i
\(742\) −8.87850 6.28512i −0.325940 0.230734i
\(743\) 8.41303 + 31.3979i 0.308644 + 1.15188i 0.929763 + 0.368159i \(0.120012\pi\)
−0.621118 + 0.783717i \(0.713321\pi\)
\(744\) 13.0272 0.477599
\(745\) −46.5792 −1.70653
\(746\) 2.59723 + 9.69301i 0.0950915 + 0.354886i
\(747\) −5.42619 + 1.45394i −0.198534 + 0.0531970i
\(748\) 15.7826 + 4.22893i 0.577068 + 0.154625i
\(749\) 40.7417 33.8307i 1.48867 1.23615i
\(750\) 3.10187 + 5.37259i 0.113264 + 0.196179i
\(751\) 42.9234i 1.56630i 0.621835 + 0.783148i \(0.286387\pi\)
−0.621835 + 0.783148i \(0.713613\pi\)
\(752\) 8.46271 + 2.26758i 0.308603 + 0.0826900i
\(753\) 18.6160 + 10.7479i 0.678403 + 0.391676i
\(754\) −2.09489 1.52066i −0.0762912 0.0553791i
\(755\) 37.5828i 1.36778i
\(756\) −3.49945 + 2.90584i −0.127274 + 0.105684i
\(757\) 6.45620 11.1825i 0.234654 0.406433i −0.724518 0.689256i \(-0.757937\pi\)
0.959172 + 0.282823i \(0.0912708\pi\)
\(758\) 11.7321 + 6.77353i 0.426129 + 0.246026i
\(759\) 21.8398 5.85196i 0.792735 0.212413i
\(760\) −19.8840 + 19.8840i −0.721270 + 0.721270i
\(761\) 9.87024 + 36.8362i 0.357796 + 1.33531i 0.876929 + 0.480619i \(0.159588\pi\)
−0.519134 + 0.854693i \(0.673745\pi\)
\(762\) −6.50779 + 6.50779i −0.235752 + 0.235752i
\(763\) 15.1099 + 10.6964i 0.547016 + 0.387234i
\(764\) 34.2520 + 19.7754i 1.23919 + 0.715449i
\(765\) −4.91886 4.91886i −0.177842 0.177842i
\(766\) 2.38776 4.13571i 0.0862731 0.149429i
\(767\) −1.06892 + 10.2120i −0.0385965 + 0.368735i
\(768\) −1.76299 + 1.01786i −0.0636165 + 0.0367290i
\(769\) 0.0137463 0.00368331i 0.000495704 0.000132824i −0.258571 0.965992i \(-0.583252\pi\)
0.259067 + 0.965859i \(0.416585\pi\)
\(770\) 4.92471 6.95676i 0.177474 0.250704i
\(771\) −6.53224 + 3.77139i −0.235253 + 0.135823i
\(772\) −8.28154 2.21903i −0.298059 0.0798647i
\(773\) 12.1599 + 12.1599i 0.437360 + 0.437360i 0.891123 0.453763i \(-0.149919\pi\)
−0.453763 + 0.891123i \(0.649919\pi\)
\(774\) 1.88765