Properties

Label 273.2.bt.a.136.7
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 136.7
Character \(\chi\) \(=\) 273.136
Dual form 273.2.bt.a.271.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.09987 - 1.09987i) q^{2} +(0.866025 - 0.500000i) q^{3} -0.419447i q^{4} +(0.745735 - 2.78312i) q^{5} +(0.402582 - 1.50246i) q^{6} +(-1.80794 + 1.93167i) q^{7} +(1.73841 + 1.73841i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(1.09987 - 1.09987i) q^{2} +(0.866025 - 0.500000i) q^{3} -0.419447i q^{4} +(0.745735 - 2.78312i) q^{5} +(0.402582 - 1.50246i) q^{6} +(-1.80794 + 1.93167i) q^{7} +(1.73841 + 1.73841i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-2.24087 - 3.88130i) q^{10} +(1.41711 - 5.28871i) q^{11} +(-0.209723 - 0.363252i) q^{12} +(-0.662549 + 3.54415i) q^{13} +(0.136094 + 4.11310i) q^{14} +(-0.745735 - 2.78312i) q^{15} +4.66296 q^{16} -4.36465 q^{17} +(-0.402582 - 1.50246i) q^{18} +(-1.39486 + 0.373751i) q^{19} +(-1.16737 - 0.312796i) q^{20} +(-0.599883 + 2.57685i) q^{21} +(-4.25828 - 7.37555i) q^{22} +8.37225i q^{23} +(2.37471 + 0.636302i) q^{24} +(-2.85951 - 1.65094i) q^{25} +(3.16940 + 4.62684i) q^{26} -1.00000i q^{27} +(0.810234 + 0.758334i) q^{28} +(0.882488 - 1.52851i) q^{29} +(-3.88130 - 2.24087i) q^{30} +(0.770818 - 0.206540i) q^{31} +(1.65185 - 1.65185i) q^{32} +(-1.41711 - 5.28871i) q^{33} +(-4.80057 + 4.80057i) q^{34} +(4.02784 + 6.47222i) q^{35} +(-0.363252 - 0.209723i) q^{36} +(3.86358 + 3.86358i) q^{37} +(-1.12309 + 1.94525i) q^{38} +(1.19829 + 3.40060i) q^{39} +(6.13459 - 3.54181i) q^{40} +(3.88124 - 1.03997i) q^{41} +(2.17441 + 3.49400i) q^{42} +(-5.58033 + 3.22180i) q^{43} +(-2.21833 - 0.594400i) q^{44} +(-2.03738 - 2.03738i) q^{45} +(9.20842 + 9.20842i) q^{46} +(-8.52304 - 2.28374i) q^{47} +(4.03824 - 2.33148i) q^{48} +(-0.462723 - 6.98469i) q^{49} +(-4.96092 + 1.32927i) q^{50} +(-3.77990 + 2.18233i) q^{51} +(1.48658 + 0.277904i) q^{52} +(0.139208 - 0.241116i) q^{53} +(-1.09987 - 1.09987i) q^{54} +(-13.6623 - 7.88795i) q^{55} +(-6.50098 + 0.215103i) q^{56} +(-1.02111 + 1.02111i) q^{57} +(-0.710548 - 2.65180i) q^{58} +(-5.16369 + 5.16369i) q^{59} +(-1.16737 + 0.312796i) q^{60} +(4.10703 + 2.37119i) q^{61} +(0.620634 - 1.07497i) q^{62} +(0.768909 + 2.53156i) q^{63} +5.69226i q^{64} +(9.36972 + 4.48695i) q^{65} +(-7.37555 - 4.25828i) q^{66} +(1.87565 + 0.502580i) q^{67} +1.83074i q^{68} +(4.18612 + 7.25058i) q^{69} +(11.5487 + 2.68852i) q^{70} +(11.3490 + 3.04095i) q^{71} +(2.37471 - 0.636302i) q^{72} +(-3.72736 - 13.9107i) q^{73} +8.49891 q^{74} -3.30187 q^{75} +(0.156769 + 0.585069i) q^{76} +(7.65402 + 12.2990i) q^{77} +(5.05821 + 2.42226i) q^{78} +(-0.431242 - 0.746933i) q^{79} +(3.47733 - 12.9776i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(3.12503 - 5.41271i) q^{82} +(4.29551 + 4.29551i) q^{83} +(1.08085 + 0.251619i) q^{84} +(-3.25487 + 12.1473i) q^{85} +(-2.59408 + 9.68124i) q^{86} -1.76498i q^{87} +(11.6575 - 6.73043i) q^{88} +(4.21484 - 4.21484i) q^{89} -4.48173 q^{90} +(-5.64830 - 7.68744i) q^{91} +3.51171 q^{92} +(0.564278 - 0.564278i) q^{93} +(-11.8861 + 6.86245i) q^{94} +4.16078i q^{95} +(0.604618 - 2.25647i) q^{96} +(-0.575652 + 2.14836i) q^{97} +(-8.19122 - 7.17334i) q^{98} +(-3.87160 - 3.87160i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.09987 1.09987i 0.777729 0.777729i −0.201716 0.979444i \(-0.564652\pi\)
0.979444 + 0.201716i \(0.0646517\pi\)
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 0.419447i 0.209723i
\(5\) 0.745735 2.78312i 0.333503 1.24465i −0.571981 0.820267i \(-0.693825\pi\)
0.905483 0.424382i \(-0.139509\pi\)
\(6\) 0.402582 1.50246i 0.164353 0.613375i
\(7\) −1.80794 + 1.93167i −0.683336 + 0.730104i
\(8\) 1.73841 + 1.73841i 0.614621 + 0.614621i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −2.24087 3.88130i −0.708624 1.22737i
\(11\) 1.41711 5.28871i 0.427273 1.59461i −0.331635 0.943408i \(-0.607600\pi\)
0.758908 0.651198i \(-0.225733\pi\)
\(12\) −0.209723 0.363252i −0.0605420 0.104862i
\(13\) −0.662549 + 3.54415i −0.183758 + 0.982972i
\(14\) 0.136094 + 4.11310i 0.0363725 + 1.09927i
\(15\) −0.745735 2.78312i −0.192548 0.718598i
\(16\) 4.66296 1.16574
\(17\) −4.36465 −1.05858 −0.529292 0.848440i \(-0.677542\pi\)
−0.529292 + 0.848440i \(0.677542\pi\)
\(18\) −0.402582 1.50246i −0.0948895 0.354132i
\(19\) −1.39486 + 0.373751i −0.320003 + 0.0857444i −0.415245 0.909710i \(-0.636304\pi\)
0.0952423 + 0.995454i \(0.469637\pi\)
\(20\) −1.16737 0.312796i −0.261032 0.0699433i
\(21\) −0.599883 + 2.57685i −0.130905 + 0.562314i
\(22\) −4.25828 7.37555i −0.907868 1.57247i
\(23\) 8.37225i 1.74573i 0.487958 + 0.872867i \(0.337742\pi\)
−0.487958 + 0.872867i \(0.662258\pi\)
\(24\) 2.37471 + 0.636302i 0.484736 + 0.129885i
\(25\) −2.85951 1.65094i −0.571901 0.330187i
\(26\) 3.16940 + 4.62684i 0.621571 + 0.907399i
\(27\) 1.00000i 0.192450i
\(28\) 0.810234 + 0.758334i 0.153120 + 0.143312i
\(29\) 0.882488 1.52851i 0.163874 0.283838i −0.772381 0.635160i \(-0.780934\pi\)
0.936255 + 0.351322i \(0.114268\pi\)
\(30\) −3.88130 2.24087i −0.708624 0.409125i
\(31\) 0.770818 0.206540i 0.138443 0.0370957i −0.188932 0.981990i \(-0.560503\pi\)
0.327375 + 0.944894i \(0.393836\pi\)
\(32\) 1.65185 1.65185i 0.292008 0.292008i
\(33\) −1.41711 5.28871i −0.246686 0.920646i
\(34\) −4.80057 + 4.80057i −0.823290 + 0.823290i
\(35\) 4.02784 + 6.47222i 0.680829 + 1.09401i
\(36\) −0.363252 0.209723i −0.0605420 0.0349539i
\(37\) 3.86358 + 3.86358i 0.635169 + 0.635169i 0.949360 0.314191i \(-0.101733\pi\)
−0.314191 + 0.949360i \(0.601733\pi\)
\(38\) −1.12309 + 1.94525i −0.182189 + 0.315561i
\(39\) 1.19829 + 3.40060i 0.191880 + 0.544532i
\(40\) 6.13459 3.54181i 0.969965 0.560009i
\(41\) 3.88124 1.03997i 0.606147 0.162417i 0.0573248 0.998356i \(-0.481743\pi\)
0.548823 + 0.835939i \(0.315076\pi\)
\(42\) 2.17441 + 3.49400i 0.335519 + 0.539137i
\(43\) −5.58033 + 3.22180i −0.850992 + 0.491320i −0.860985 0.508630i \(-0.830152\pi\)
0.00999354 + 0.999950i \(0.496819\pi\)
\(44\) −2.21833 0.594400i −0.334426 0.0896092i
\(45\) −2.03738 2.03738i −0.303715 0.303715i
\(46\) 9.20842 + 9.20842i 1.35771 + 1.35771i
\(47\) −8.52304 2.28374i −1.24321 0.333118i −0.423502 0.905895i \(-0.639200\pi\)
−0.819711 + 0.572777i \(0.805866\pi\)
\(48\) 4.03824 2.33148i 0.582870 0.336520i
\(49\) −0.462723 6.98469i −0.0661033 0.997813i
\(50\) −4.96092 + 1.32927i −0.701580 + 0.187988i
\(51\) −3.77990 + 2.18233i −0.529292 + 0.305587i
\(52\) 1.48658 + 0.277904i 0.206152 + 0.0385384i
\(53\) 0.139208 0.241116i 0.0191217 0.0331198i −0.856306 0.516468i \(-0.827246\pi\)
0.875428 + 0.483349i \(0.160580\pi\)
\(54\) −1.09987 1.09987i −0.149674 0.149674i
\(55\) −13.6623 7.88795i −1.84223 1.06361i
\(56\) −6.50098 + 0.215103i −0.868729 + 0.0287444i
\(57\) −1.02111 + 1.02111i −0.135249 + 0.135249i
\(58\) −0.710548 2.65180i −0.0932995 0.348198i
\(59\) −5.16369 + 5.16369i −0.672255 + 0.672255i −0.958235 0.285980i \(-0.907681\pi\)
0.285980 + 0.958235i \(0.407681\pi\)
\(60\) −1.16737 + 0.312796i −0.150707 + 0.0403818i
\(61\) 4.10703 + 2.37119i 0.525851 + 0.303600i 0.739325 0.673348i \(-0.235145\pi\)
−0.213474 + 0.976949i \(0.568478\pi\)
\(62\) 0.620634 1.07497i 0.0788207 0.136521i
\(63\) 0.768909 + 2.53156i 0.0968735 + 0.318946i
\(64\) 5.69226i 0.711533i
\(65\) 9.36972 + 4.48695i 1.16217 + 0.556538i
\(66\) −7.37555 4.25828i −0.907868 0.524158i
\(67\) 1.87565 + 0.502580i 0.229148 + 0.0613999i 0.371566 0.928407i \(-0.378821\pi\)
−0.142418 + 0.989807i \(0.545488\pi\)
\(68\) 1.83074i 0.222010i
\(69\) 4.18612 + 7.25058i 0.503950 + 0.872867i
\(70\) 11.5487 + 2.68852i 1.38034 + 0.321339i
\(71\) 11.3490 + 3.04095i 1.34688 + 0.360894i 0.858981 0.512008i \(-0.171098\pi\)
0.487895 + 0.872902i \(0.337765\pi\)
\(72\) 2.37471 0.636302i 0.279862 0.0749889i
\(73\) −3.72736 13.9107i −0.436254 1.62812i −0.738047 0.674749i \(-0.764252\pi\)
0.301793 0.953373i \(-0.402415\pi\)
\(74\) 8.49891 0.987978
\(75\) −3.30187 −0.381268
\(76\) 0.156769 + 0.585069i 0.0179826 + 0.0671121i
\(77\) 7.65402 + 12.2990i 0.872256 + 1.40161i
\(78\) 5.05821 + 2.42226i 0.572729 + 0.274267i
\(79\) −0.431242 0.746933i −0.0485185 0.0840365i 0.840746 0.541429i \(-0.182117\pi\)
−0.889265 + 0.457393i \(0.848783\pi\)
\(80\) 3.47733 12.9776i 0.388777 1.45094i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 3.12503 5.41271i 0.345102 0.597734i
\(83\) 4.29551 + 4.29551i 0.471494 + 0.471494i 0.902398 0.430904i \(-0.141805\pi\)
−0.430904 + 0.902398i \(0.641805\pi\)
\(84\) 1.08085 + 0.251619i 0.117930 + 0.0274539i
\(85\) −3.25487 + 12.1473i −0.353040 + 1.31756i
\(86\) −2.59408 + 9.68124i −0.279727 + 1.04395i
\(87\) 1.76498i 0.189225i
\(88\) 11.6575 6.73043i 1.24269 0.717467i
\(89\) 4.21484 4.21484i 0.446772 0.446772i −0.447508 0.894280i \(-0.647688\pi\)
0.894280 + 0.447508i \(0.147688\pi\)
\(90\) −4.48173 −0.472416
\(91\) −5.64830 7.68744i −0.592103 0.805862i
\(92\) 3.51171 0.366121
\(93\) 0.564278 0.564278i 0.0585129 0.0585129i
\(94\) −11.8861 + 6.86245i −1.22596 + 0.707807i
\(95\) 4.16078i 0.426887i
\(96\) 0.604618 2.25647i 0.0617086 0.230300i
\(97\) −0.575652 + 2.14836i −0.0584486 + 0.218133i −0.988973 0.148097i \(-0.952685\pi\)
0.930524 + 0.366230i \(0.119352\pi\)
\(98\) −8.19122 7.17334i −0.827438 0.724617i
\(99\) −3.87160 3.87160i −0.389111 0.389111i
\(100\) −0.692481 + 1.19941i −0.0692481 + 0.119941i
\(101\) −7.92218 13.7216i −0.788287 1.36535i −0.927016 0.375023i \(-0.877635\pi\)
0.138729 0.990330i \(-0.455698\pi\)
\(102\) −1.75713 + 6.55770i −0.173982 + 0.649309i
\(103\) −5.32654 9.22583i −0.524839 0.909048i −0.999582 0.0289234i \(-0.990792\pi\)
0.474742 0.880125i \(-0.342541\pi\)
\(104\) −7.31297 + 5.00941i −0.717096 + 0.491213i
\(105\) 6.72432 + 3.59119i 0.656226 + 0.350464i
\(106\) −0.112085 0.418309i −0.0108867 0.0406297i
\(107\) −14.5513 −1.40672 −0.703361 0.710833i \(-0.748318\pi\)
−0.703361 + 0.710833i \(0.748318\pi\)
\(108\) −0.419447 −0.0403613
\(109\) −2.22729 8.31237i −0.213336 0.796181i −0.986746 0.162274i \(-0.948117\pi\)
0.773410 0.633906i \(-0.218550\pi\)
\(110\) −23.7026 + 6.35109i −2.25995 + 0.605553i
\(111\) 5.27775 + 1.41417i 0.500942 + 0.134227i
\(112\) −8.43034 + 9.00731i −0.796592 + 0.851111i
\(113\) −6.81406 11.8023i −0.641013 1.11027i −0.985207 0.171368i \(-0.945181\pi\)
0.344195 0.938898i \(-0.388152\pi\)
\(114\) 2.24618i 0.210374i
\(115\) 23.3010 + 6.24347i 2.17283 + 0.582207i
\(116\) −0.641131 0.370157i −0.0595275 0.0343682i
\(117\) 2.73805 + 2.34586i 0.253133 + 0.216875i
\(118\) 11.3588i 1.04566i
\(119\) 7.89102 8.43108i 0.723368 0.772876i
\(120\) 3.54181 6.13459i 0.323322 0.560009i
\(121\) −16.4360 9.48931i −1.49418 0.862665i
\(122\) 7.12523 1.90920i 0.645088 0.172851i
\(123\) 2.84126 2.84126i 0.256188 0.256188i
\(124\) −0.0866325 0.323317i −0.00777983 0.0290347i
\(125\) 3.45974 3.45974i 0.309448 0.309448i
\(126\) 3.63010 + 1.93869i 0.323395 + 0.172712i
\(127\) 3.01715 + 1.74195i 0.267728 + 0.154573i 0.627855 0.778330i \(-0.283933\pi\)
−0.360126 + 0.932904i \(0.617266\pi\)
\(128\) 9.56447 + 9.56447i 0.845388 + 0.845388i
\(129\) −3.22180 + 5.58033i −0.283664 + 0.491320i
\(130\) 15.2406 5.37043i 1.33669 0.471018i
\(131\) −5.01539 + 2.89564i −0.438197 + 0.252993i −0.702832 0.711356i \(-0.748082\pi\)
0.264636 + 0.964348i \(0.414748\pi\)
\(132\) −2.21833 + 0.594400i −0.193081 + 0.0517359i
\(133\) 1.79985 3.37013i 0.156067 0.292227i
\(134\) 2.61576 1.51021i 0.225967 0.130462i
\(135\) −2.78312 0.745735i −0.239533 0.0641826i
\(136\) −7.58755 7.58755i −0.650627 0.650627i
\(137\) −2.42365 2.42365i −0.207067 0.207067i 0.595953 0.803019i \(-0.296774\pi\)
−0.803019 + 0.595953i \(0.796774\pi\)
\(138\) 12.5789 + 3.37051i 1.07079 + 0.286917i
\(139\) −16.1580 + 9.32882i −1.37050 + 0.791260i −0.990991 0.133927i \(-0.957241\pi\)
−0.379512 + 0.925187i \(0.623908\pi\)
\(140\) 2.71475 1.68946i 0.229439 0.142786i
\(141\) −8.52304 + 2.28374i −0.717770 + 0.192326i
\(142\) 15.8271 9.13779i 1.32818 0.766826i
\(143\) 17.8051 + 8.52647i 1.48894 + 0.713019i
\(144\) 2.33148 4.03824i 0.194290 0.336520i
\(145\) −3.59594 3.59594i −0.298626 0.298626i
\(146\) −19.3996 11.2004i −1.60552 0.926950i
\(147\) −3.89307 5.81756i −0.321095 0.479824i
\(148\) 1.62057 1.62057i 0.133210 0.133210i
\(149\) −3.69990 13.8082i −0.303108 1.13121i −0.934562 0.355801i \(-0.884208\pi\)
0.631454 0.775413i \(-0.282458\pi\)
\(150\) −3.63165 + 3.63165i −0.296523 + 0.296523i
\(151\) −0.0198676 + 0.00532352i −0.00161681 + 0.000433222i −0.259627 0.965709i \(-0.583600\pi\)
0.258011 + 0.966142i \(0.416933\pi\)
\(152\) −3.07457 1.77510i −0.249381 0.143980i
\(153\) −2.18233 + 3.77990i −0.176431 + 0.305587i
\(154\) 21.9459 + 5.10894i 1.76845 + 0.411690i
\(155\) 2.29930i 0.184684i
\(156\) 1.42637 0.502620i 0.114201 0.0402418i
\(157\) 5.26575 + 3.04018i 0.420253 + 0.242633i 0.695185 0.718830i \(-0.255322\pi\)
−0.274933 + 0.961463i \(0.588656\pi\)
\(158\) −1.29584 0.347220i −0.103092 0.0276234i
\(159\) 0.278417i 0.0220799i
\(160\) −3.36545 5.82913i −0.266062 0.460833i
\(161\) −16.1724 15.1365i −1.27457 1.19292i
\(162\) −1.50246 0.402582i −0.118044 0.0316298i
\(163\) 13.7573 3.68627i 1.07756 0.288731i 0.323963 0.946070i \(-0.394985\pi\)
0.753595 + 0.657339i \(0.228318\pi\)
\(164\) −0.436214 1.62797i −0.0340626 0.127123i
\(165\) −15.7759 −1.22815
\(166\) 9.44905 0.733388
\(167\) −0.579671 2.16336i −0.0448563 0.167406i 0.939864 0.341548i \(-0.110951\pi\)
−0.984720 + 0.174142i \(0.944285\pi\)
\(168\) −5.52246 + 3.43677i −0.426067 + 0.265153i
\(169\) −12.1221 4.69635i −0.932466 0.361258i
\(170\) 9.78060 + 16.9405i 0.750138 + 1.29928i
\(171\) −0.373751 + 1.39486i −0.0285815 + 0.106668i
\(172\) 1.35138 + 2.34065i 0.103041 + 0.178473i
\(173\) −1.62494 + 2.81448i −0.123542 + 0.213981i −0.921162 0.389179i \(-0.872759\pi\)
0.797620 + 0.603160i \(0.206092\pi\)
\(174\) −1.94125 1.94125i −0.147166 0.147166i
\(175\) 8.35888 2.53884i 0.631872 0.191918i
\(176\) 6.60790 24.6610i 0.498089 1.85889i
\(177\) −1.89004 + 7.05373i −0.142064 + 0.530191i
\(178\) 9.27158i 0.694934i
\(179\) 18.3339 10.5851i 1.37034 0.791165i 0.379367 0.925246i \(-0.376142\pi\)
0.990970 + 0.134081i \(0.0428083\pi\)
\(180\) −0.854575 + 0.854575i −0.0636962 + 0.0636962i
\(181\) 18.5217 1.37671 0.688353 0.725376i \(-0.258334\pi\)
0.688353 + 0.725376i \(0.258334\pi\)
\(182\) −14.6676 2.24279i −1.08724 0.166247i
\(183\) 4.74239 0.350567
\(184\) −14.5544 + 14.5544i −1.07296 + 1.07296i
\(185\) 13.6340 7.87160i 1.00239 0.578732i
\(186\) 1.24127i 0.0910143i
\(187\) −6.18517 + 23.0834i −0.452304 + 1.68802i
\(188\) −0.957909 + 3.57496i −0.0698627 + 0.260731i
\(189\) 1.93167 + 1.80794i 0.140509 + 0.131508i
\(190\) 4.57633 + 4.57633i 0.332002 + 0.332002i
\(191\) 13.7090 23.7447i 0.991948 1.71810i 0.386292 0.922376i \(-0.373756\pi\)
0.605655 0.795727i \(-0.292911\pi\)
\(192\) 2.84613 + 4.92965i 0.205402 + 0.355767i
\(193\) −4.93597 + 18.4213i −0.355299 + 1.32599i 0.524809 + 0.851220i \(0.324137\pi\)
−0.880108 + 0.474774i \(0.842530\pi\)
\(194\) 1.72978 + 2.99607i 0.124191 + 0.215105i
\(195\) 10.3579 0.799046i 0.741744 0.0572208i
\(196\) −2.92971 + 0.194088i −0.209265 + 0.0138634i
\(197\) 1.20155 + 4.48424i 0.0856068 + 0.319489i 0.995428 0.0955106i \(-0.0304484\pi\)
−0.909822 + 0.415000i \(0.863782\pi\)
\(198\) −8.51655 −0.605245
\(199\) −0.447121 −0.0316956 −0.0158478 0.999874i \(-0.505045\pi\)
−0.0158478 + 0.999874i \(0.505045\pi\)
\(200\) −2.10099 7.84100i −0.148562 0.554442i
\(201\) 1.87565 0.502580i 0.132298 0.0354492i
\(202\) −23.8055 6.37866i −1.67495 0.448801i
\(203\) 1.35711 + 4.46814i 0.0952502 + 0.313602i
\(204\) 0.915370 + 1.58547i 0.0640887 + 0.111005i
\(205\) 11.5775i 0.808607i
\(206\) −16.0058 4.28873i −1.11518 0.298810i
\(207\) 7.25058 + 4.18612i 0.503950 + 0.290956i
\(208\) −3.08944 + 16.5262i −0.214214 + 1.14589i
\(209\) 7.90665i 0.546914i
\(210\) 11.3458 3.44605i 0.782932 0.237800i
\(211\) −14.3795 + 24.9060i −0.989924 + 1.71460i −0.372331 + 0.928100i \(0.621442\pi\)
−0.617592 + 0.786498i \(0.711892\pi\)
\(212\) −0.101135 0.0583905i −0.00694600 0.00401028i
\(213\) 11.3490 3.04095i 0.777619 0.208362i
\(214\) −16.0045 + 16.0045i −1.09405 + 1.09405i
\(215\) 4.80522 + 17.9333i 0.327713 + 1.22304i
\(216\) 1.73841 1.73841i 0.118284 0.118284i
\(217\) −0.994622 + 1.86238i −0.0675194 + 0.126427i
\(218\) −11.5923 6.69282i −0.785130 0.453295i
\(219\) −10.1833 10.1833i −0.688125 0.688125i
\(220\) −3.30857 + 5.73062i −0.223064 + 0.386358i
\(221\) 2.89179 15.4690i 0.194523 1.04056i
\(222\) 7.36027 4.24945i 0.493989 0.285205i
\(223\) 14.0758 3.77160i 0.942586 0.252565i 0.245372 0.969429i \(-0.421090\pi\)
0.697213 + 0.716864i \(0.254423\pi\)
\(224\) 0.204392 + 6.17727i 0.0136565 + 0.412736i
\(225\) −2.85951 + 1.65094i −0.190634 + 0.110062i
\(226\) −20.4756 5.48643i −1.36202 0.364952i
\(227\) 12.6759 + 12.6759i 0.841326 + 0.841326i 0.989031 0.147705i \(-0.0471886\pi\)
−0.147705 + 0.989031i \(0.547189\pi\)
\(228\) 0.428300 + 0.428300i 0.0283649 + 0.0283649i
\(229\) −6.61427 1.77229i −0.437083 0.117116i 0.0335661 0.999437i \(-0.489314\pi\)
−0.470649 + 0.882320i \(0.655980\pi\)
\(230\) 32.4952 18.7611i 2.14267 1.23707i
\(231\) 12.7781 + 6.82427i 0.840737 + 0.449004i
\(232\) 4.19131 1.12306i 0.275173 0.0737324i
\(233\) 6.74247 3.89276i 0.441714 0.255023i −0.262611 0.964902i \(-0.584583\pi\)
0.704324 + 0.709878i \(0.251250\pi\)
\(234\) 5.59167 0.431362i 0.365539 0.0281990i
\(235\) −12.7119 + 22.0176i −0.829230 + 1.43627i
\(236\) 2.16589 + 2.16589i 0.140988 + 0.140988i
\(237\) −0.746933 0.431242i −0.0485185 0.0280122i
\(238\) −0.594001 17.9523i −0.0385034 1.16367i
\(239\) −2.22428 + 2.22428i −0.143877 + 0.143877i −0.775376 0.631499i \(-0.782440\pi\)
0.631499 + 0.775376i \(0.282440\pi\)
\(240\) −3.47733 12.9776i −0.224461 0.837699i
\(241\) 6.34946 6.34946i 0.409005 0.409005i −0.472387 0.881391i \(-0.656607\pi\)
0.881391 + 0.472387i \(0.156607\pi\)
\(242\) −28.5146 + 7.64045i −1.83298 + 0.491147i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) 0.994590 1.72268i 0.0636721 0.110283i
\(245\) −19.7843 3.92091i −1.26397 0.250498i
\(246\) 6.25006i 0.398489i
\(247\) −0.400470 5.19122i −0.0254813 0.330310i
\(248\) 1.69905 + 0.980946i 0.107890 + 0.0622901i
\(249\) 5.86778 + 1.57227i 0.371855 + 0.0996384i
\(250\) 7.61055i 0.481333i
\(251\) 12.3486 + 21.3883i 0.779434 + 1.35002i 0.932269 + 0.361767i \(0.117826\pi\)
−0.152835 + 0.988252i \(0.548840\pi\)
\(252\) 1.06185 0.322517i 0.0668905 0.0203166i
\(253\) 44.2784 + 11.8644i 2.78376 + 0.745905i
\(254\) 5.23441 1.40256i 0.328436 0.0880042i
\(255\) 3.25487 + 12.1473i 0.203828 + 0.760696i
\(256\) 9.65491 0.603432
\(257\) −6.15108 −0.383694 −0.191847 0.981425i \(-0.561448\pi\)
−0.191847 + 0.981425i \(0.561448\pi\)
\(258\) 2.59408 + 9.68124i 0.161500 + 0.602727i
\(259\) −14.4483 + 0.478063i −0.897773 + 0.0297054i
\(260\) 1.88204 3.93010i 0.116719 0.243734i
\(261\) −0.882488 1.52851i −0.0546247 0.0946127i
\(262\) −2.33146 + 8.70113i −0.144038 + 0.537558i
\(263\) −8.57461 14.8517i −0.528733 0.915792i −0.999439 0.0335020i \(-0.989334\pi\)
0.470706 0.882290i \(-0.343999\pi\)
\(264\) 6.73043 11.6575i 0.414229 0.717467i
\(265\) −0.567242 0.567242i −0.0348454 0.0348454i
\(266\) −1.72711 5.68633i −0.105896 0.348651i
\(267\) 1.54274 5.75757i 0.0944140 0.352358i
\(268\) 0.210806 0.786737i 0.0128770 0.0480576i
\(269\) 2.31154i 0.140937i 0.997514 + 0.0704685i \(0.0224494\pi\)
−0.997514 + 0.0704685i \(0.977551\pi\)
\(270\) −3.88130 + 2.24087i −0.236208 + 0.136375i
\(271\) −4.58217 + 4.58217i −0.278347 + 0.278347i −0.832449 0.554102i \(-0.813062\pi\)
0.554102 + 0.832449i \(0.313062\pi\)
\(272\) −20.3522 −1.23403
\(273\) −8.73529 3.83337i −0.528684 0.232006i
\(274\) −5.33142 −0.322083
\(275\) −12.7835 + 12.7835i −0.770877 + 0.770877i
\(276\) 3.04123 1.75586i 0.183061 0.105690i
\(277\) 24.1768i 1.45265i 0.687354 + 0.726323i \(0.258772\pi\)
−0.687354 + 0.726323i \(0.741228\pi\)
\(278\) −7.51123 + 28.0323i −0.450494 + 1.68127i
\(279\) 0.206540 0.770818i 0.0123652 0.0461476i
\(280\) −4.24934 + 18.2534i −0.253947 + 1.09085i
\(281\) 18.6196 + 18.6196i 1.11075 + 1.11075i 0.993049 + 0.117703i \(0.0375532\pi\)
0.117703 + 0.993049i \(0.462447\pi\)
\(282\) −6.86245 + 11.8861i −0.408653 + 0.707807i
\(283\) −6.25230 10.8293i −0.371661 0.643736i 0.618160 0.786052i \(-0.287878\pi\)
−0.989821 + 0.142317i \(0.954545\pi\)
\(284\) 1.27552 4.76029i 0.0756880 0.282472i
\(285\) 2.08039 + 3.60334i 0.123232 + 0.213443i
\(286\) 28.9614 10.2053i 1.71252 0.603454i
\(287\) −5.00814 + 9.37749i −0.295621 + 0.553536i
\(288\) −0.604618 2.25647i −0.0356275 0.132964i
\(289\) 2.05017 0.120598
\(290\) −7.91016 −0.464500
\(291\) 0.575652 + 2.14836i 0.0337453 + 0.125939i
\(292\) −5.83479 + 1.56343i −0.341455 + 0.0914927i
\(293\) −0.0851383 0.0228127i −0.00497383 0.00133274i 0.256331 0.966589i \(-0.417486\pi\)
−0.261305 + 0.965256i \(0.584153\pi\)
\(294\) −10.6805 2.11669i −0.622898 0.123448i
\(295\) 10.5204 + 18.2219i 0.612523 + 1.06092i
\(296\) 13.4330i 0.780776i
\(297\) −5.28871 1.41711i −0.306882 0.0822288i
\(298\) −19.2567 11.1179i −1.11551 0.644042i
\(299\) −29.6725 5.54702i −1.71601 0.320793i
\(300\) 1.38496i 0.0799608i
\(301\) 3.86541 16.6042i 0.222799 0.957049i
\(302\) −0.0159967 + 0.0277071i −0.000920507 + 0.00159436i
\(303\) −13.7216 7.92218i −0.788287 0.455118i
\(304\) −6.50417 + 1.74279i −0.373040 + 0.0999557i
\(305\) 9.66207 9.66207i 0.553248 0.553248i
\(306\) 1.75713 + 6.55770i 0.100448 + 0.374879i
\(307\) −7.58728 + 7.58728i −0.433029 + 0.433029i −0.889658 0.456628i \(-0.849057\pi\)
0.456628 + 0.889658i \(0.349057\pi\)
\(308\) 5.15879 3.21045i 0.293950 0.182933i
\(309\) −9.22583 5.32654i −0.524839 0.303016i
\(310\) −2.52894 2.52894i −0.143634 0.143634i
\(311\) −15.1148 + 26.1796i −0.857082 + 1.48451i 0.0176172 + 0.999845i \(0.494392\pi\)
−0.874700 + 0.484665i \(0.838941\pi\)
\(312\) −3.82852 + 7.99476i −0.216747 + 0.452614i
\(313\) 24.9891 14.4275i 1.41247 0.815489i 0.416849 0.908976i \(-0.363135\pi\)
0.995621 + 0.0934866i \(0.0298012\pi\)
\(314\) 9.13548 2.44784i 0.515545 0.138140i
\(315\) 7.61903 0.252097i 0.429284 0.0142041i
\(316\) −0.313299 + 0.180883i −0.0176244 + 0.0101755i
\(317\) 16.2082 + 4.34297i 0.910343 + 0.243926i 0.683453 0.729995i \(-0.260477\pi\)
0.226890 + 0.973920i \(0.427144\pi\)
\(318\) −0.306223 0.306223i −0.0171721 0.0171721i
\(319\) −6.83329 6.83329i −0.382591 0.382591i
\(320\) 15.8423 + 4.24492i 0.885609 + 0.237298i
\(321\) −12.6018 + 7.27563i −0.703361 + 0.406086i
\(322\) −34.4359 + 1.13941i −1.91904 + 0.0634968i
\(323\) 6.08807 1.63129i 0.338749 0.0907676i
\(324\) −0.363252 + 0.209723i −0.0201807 + 0.0116513i
\(325\) 7.74574 9.04071i 0.429656 0.501488i
\(326\) 11.0769 19.1858i 0.613493 1.06260i
\(327\) −6.08508 6.08508i −0.336506 0.336506i
\(328\) 8.55508 + 4.93928i 0.472375 + 0.272726i
\(329\) 19.8206 12.3349i 1.09274 0.680044i
\(330\) −17.3515 + 17.3515i −0.955169 + 0.955169i
\(331\) 1.62870 + 6.07840i 0.0895215 + 0.334099i 0.996132 0.0878697i \(-0.0280059\pi\)
−0.906610 + 0.421969i \(0.861339\pi\)
\(332\) 1.80174 1.80174i 0.0988833 0.0988833i
\(333\) 5.27775 1.41417i 0.289219 0.0774960i
\(334\) −3.01699 1.74186i −0.165083 0.0953104i
\(335\) 2.79748 4.84538i 0.152843 0.264731i
\(336\) −2.79723 + 12.0157i −0.152601 + 0.655512i
\(337\) 17.1415i 0.933758i −0.884321 0.466879i \(-0.845378\pi\)
0.884321 0.466879i \(-0.154622\pi\)
\(338\) −18.4981 + 8.16734i −1.00617 + 0.444245i
\(339\) −11.8023 6.81406i −0.641013 0.370089i
\(340\) 5.09517 + 1.36525i 0.276324 + 0.0740408i
\(341\) 4.36932i 0.236612i
\(342\) 1.12309 + 1.94525i 0.0607298 + 0.105187i
\(343\) 14.3287 + 11.7341i 0.773678 + 0.633579i
\(344\) −15.3017 4.10008i −0.825013 0.221062i
\(345\) 23.3010 6.24347i 1.25448 0.336137i
\(346\) 1.30834 + 4.88281i 0.0703370 + 0.262501i
\(347\) 4.22975 0.227065 0.113532 0.993534i \(-0.463783\pi\)
0.113532 + 0.993534i \(0.463783\pi\)
\(348\) −0.740314 −0.0396850
\(349\) 4.82352 + 18.0016i 0.258197 + 0.963605i 0.966284 + 0.257479i \(0.0828919\pi\)
−0.708087 + 0.706125i \(0.750441\pi\)
\(350\) 6.40131 11.9861i 0.342165 0.640685i
\(351\) 3.54415 + 0.662549i 0.189173 + 0.0353642i
\(352\) −6.39530 11.0770i −0.340871 0.590405i
\(353\) −1.15293 + 4.30278i −0.0613641 + 0.229014i −0.989797 0.142487i \(-0.954490\pi\)
0.928433 + 0.371501i \(0.121157\pi\)
\(354\) 5.67941 + 9.83703i 0.301857 + 0.522832i
\(355\) 16.9267 29.3178i 0.898373 1.55603i
\(356\) −1.76790 1.76790i −0.0936985 0.0936985i
\(357\) 2.61828 11.2470i 0.138574 0.595256i
\(358\) 8.52271 31.8072i 0.450439 1.68106i
\(359\) −4.24764 + 15.8524i −0.224182 + 0.836657i 0.758549 + 0.651616i \(0.225909\pi\)
−0.982731 + 0.185041i \(0.940758\pi\)
\(360\) 7.08362i 0.373340i
\(361\) −14.6485 + 8.45734i −0.770976 + 0.445123i
\(362\) 20.3715 20.3715i 1.07070 1.07070i
\(363\) −18.9786 −0.996119
\(364\) −3.22447 + 2.36916i −0.169008 + 0.124178i
\(365\) −41.4947 −2.17193
\(366\) 5.21603 5.21603i 0.272646 0.272646i
\(367\) −24.1880 + 13.9650i −1.26260 + 0.728964i −0.973578 0.228357i \(-0.926665\pi\)
−0.289026 + 0.957321i \(0.593331\pi\)
\(368\) 39.0394i 2.03507i
\(369\) 1.03997 3.88124i 0.0541389 0.202049i
\(370\) 6.33793 23.6535i 0.329493 1.22969i
\(371\) 0.214077 + 0.704827i 0.0111143 + 0.0365928i
\(372\) −0.236685 0.236685i −0.0122715 0.0122715i
\(373\) 2.92406 5.06463i 0.151402 0.262237i −0.780341 0.625354i \(-0.784954\pi\)
0.931743 + 0.363118i \(0.118288\pi\)
\(374\) 18.5859 + 32.1917i 0.961054 + 1.66459i
\(375\) 1.26635 4.72609i 0.0653941 0.244054i
\(376\) −10.8465 18.7866i −0.559364 0.968846i
\(377\) 4.83260 + 4.14039i 0.248892 + 0.213241i
\(378\) 4.11310 0.136094i 0.211555 0.00699990i
\(379\) −0.411597 1.53610i −0.0211423 0.0789043i 0.954549 0.298055i \(-0.0963380\pi\)
−0.975691 + 0.219151i \(0.929671\pi\)
\(380\) 1.74523 0.0895282
\(381\) 3.48390 0.178486
\(382\) −11.0380 41.1943i −0.564752 2.10768i
\(383\) −13.6049 + 3.64543i −0.695179 + 0.186273i −0.589070 0.808082i \(-0.700506\pi\)
−0.106109 + 0.994355i \(0.533839\pi\)
\(384\) 13.0653 + 3.50084i 0.666736 + 0.178651i
\(385\) 39.9376 12.1302i 2.03541 0.618214i
\(386\) 14.8322 + 25.6901i 0.754937 + 1.30759i
\(387\) 6.44361i 0.327547i
\(388\) 0.901124 + 0.241455i 0.0457476 + 0.0122580i
\(389\) 0.216783 + 0.125160i 0.0109913 + 0.00634584i 0.505486 0.862835i \(-0.331313\pi\)
−0.494494 + 0.869181i \(0.664647\pi\)
\(390\) 10.5135 12.2712i 0.532373 0.621378i
\(391\) 36.5419i 1.84800i
\(392\) 11.3378 12.9467i 0.572648 0.653905i
\(393\) −2.89564 + 5.01539i −0.146066 + 0.252993i
\(394\) 6.25365 + 3.61055i 0.315055 + 0.181897i
\(395\) −2.40040 + 0.643184i −0.120777 + 0.0323621i
\(396\) −1.62393 + 1.62393i −0.0816057 + 0.0816057i
\(397\) 1.74276 + 6.50408i 0.0874668 + 0.326430i 0.995770 0.0918822i \(-0.0292883\pi\)
−0.908303 + 0.418313i \(0.862622\pi\)
\(398\) −0.491777 + 0.491777i −0.0246505 + 0.0246505i
\(399\) −0.126347 3.81855i −0.00632528 0.191166i
\(400\) −13.3338 7.69825i −0.666688 0.384913i
\(401\) −20.3892 20.3892i −1.01819 1.01819i −0.999831 0.0183568i \(-0.994157\pi\)
−0.0183568 0.999831i \(-0.505843\pi\)
\(402\) 1.51021 2.61576i 0.0753223 0.130462i
\(403\) 0.221305 + 2.86874i 0.0110240 + 0.142902i
\(404\) −5.75549 + 3.32294i −0.286347 + 0.165322i
\(405\) −2.78312 + 0.745735i −0.138294 + 0.0370559i
\(406\) 6.40704 + 3.42174i 0.317976 + 0.169818i
\(407\) 25.9085 14.9583i 1.28423 0.741453i
\(408\) −10.3648 2.77724i −0.513133 0.137494i
\(409\) 19.0625 + 19.0625i 0.942582 + 0.942582i 0.998439 0.0558573i \(-0.0177892\pi\)
−0.0558573 + 0.998439i \(0.517789\pi\)
\(410\) −12.7338 12.7338i −0.628877 0.628877i
\(411\) −3.31077 0.887118i −0.163308 0.0437583i
\(412\) −3.86975 + 2.23420i −0.190649 + 0.110071i
\(413\) −0.638932 19.3102i −0.0314398 0.950192i
\(414\) 12.5789 3.37051i 0.618221 0.165652i
\(415\) 15.1582 8.75161i 0.744089 0.429600i
\(416\) 4.75998 + 6.94884i 0.233377 + 0.340695i
\(417\) −9.32882 + 16.1580i −0.456834 + 0.791260i
\(418\) 8.69632 + 8.69632i 0.425351 + 0.425351i
\(419\) 12.0707 + 6.96900i 0.589691 + 0.340458i 0.764975 0.644060i \(-0.222751\pi\)
−0.175284 + 0.984518i \(0.556084\pi\)
\(420\) 1.50631 2.82050i 0.0735006 0.137626i
\(421\) 15.9864 15.9864i 0.779131 0.779131i −0.200552 0.979683i \(-0.564274\pi\)
0.979683 + 0.200552i \(0.0642735\pi\)
\(422\) 11.5778 + 43.2091i 0.563600 + 2.10338i
\(423\) −6.23930 + 6.23930i −0.303365 + 0.303365i
\(424\) 0.661159 0.177157i 0.0321087 0.00860351i
\(425\) 12.4807 + 7.20576i 0.605405 + 0.349531i
\(426\) 9.13779 15.8271i 0.442727 0.766826i
\(427\) −12.0056 + 3.64647i −0.580993 + 0.176465i
\(428\) 6.10348i 0.295023i
\(429\) 19.6829 1.51841i 0.950299 0.0733096i
\(430\) 25.0095 + 14.4393i 1.20607 + 0.696323i
\(431\) 3.10956 + 0.833204i 0.149782 + 0.0401340i 0.332931 0.942951i \(-0.391962\pi\)
−0.183149 + 0.983085i \(0.558629\pi\)
\(432\) 4.66296i 0.224347i
\(433\) −5.34137 9.25152i −0.256690 0.444600i 0.708663 0.705547i \(-0.249299\pi\)
−0.965353 + 0.260947i \(0.915965\pi\)
\(434\) 0.954423 + 3.14234i 0.0458138 + 0.150837i
\(435\) −4.91214 1.31620i −0.235519 0.0631072i
\(436\) −3.48660 + 0.934231i −0.166978 + 0.0447416i
\(437\) −3.12914 11.6781i −0.149687 0.558639i
\(438\) −22.4008 −1.07035
\(439\) 14.5610 0.694961 0.347480 0.937687i \(-0.387037\pi\)
0.347480 + 0.937687i \(0.387037\pi\)
\(440\) −10.0382 37.4632i −0.478554 1.78599i
\(441\) −6.28028 3.09161i −0.299061 0.147220i
\(442\) −13.8333 20.1946i −0.657985 0.960557i
\(443\) −2.49941 4.32911i −0.118751 0.205682i 0.800522 0.599303i \(-0.204556\pi\)
−0.919273 + 0.393621i \(0.871222\pi\)
\(444\) 0.593169 2.21374i 0.0281505 0.105059i
\(445\) −8.58724 14.8735i −0.407074 0.705073i
\(446\) 11.3333 19.6299i 0.536649 0.929503i
\(447\) −10.1083 10.1083i −0.478107 0.478107i
\(448\) −10.9956 10.2913i −0.519493 0.486216i
\(449\) 6.89362 25.7273i 0.325330 1.21415i −0.588650 0.808388i \(-0.700340\pi\)
0.913980 0.405760i \(-0.132993\pi\)
\(450\) −1.32927 + 4.96092i −0.0626626 + 0.233860i
\(451\) 22.0005i 1.03596i
\(452\) −4.95044 + 2.85814i −0.232849 + 0.134435i
\(453\) −0.0145441 + 0.0145441i −0.000683343 + 0.000683343i
\(454\) 27.8837 1.30865
\(455\) −25.6072 + 9.98711i −1.20048 + 0.468203i
\(456\) −3.55021 −0.166254
\(457\) −8.85252 + 8.85252i −0.414103 + 0.414103i −0.883165 0.469062i \(-0.844592\pi\)
0.469062 + 0.883165i \(0.344592\pi\)
\(458\) −9.22416 + 5.32557i −0.431017 + 0.248848i
\(459\) 4.36465i 0.203724i
\(460\) 2.61881 9.77352i 0.122102 0.455693i
\(461\) 2.58295 9.63971i 0.120300 0.448966i −0.879329 0.476216i \(-0.842008\pi\)
0.999629 + 0.0272495i \(0.00867485\pi\)
\(462\) 21.5601 6.54846i 1.00307 0.304662i
\(463\) −8.87215 8.87215i −0.412324 0.412324i 0.470224 0.882547i \(-0.344173\pi\)
−0.882547 + 0.470224i \(0.844173\pi\)
\(464\) 4.11501 7.12740i 0.191034 0.330881i
\(465\) −1.14965 1.99125i −0.0533138 0.0923422i
\(466\) 3.13431 11.6974i 0.145194 0.541872i
\(467\) 7.33629 + 12.7068i 0.339483 + 0.588002i 0.984336 0.176305i \(-0.0564146\pi\)
−0.644853 + 0.764307i \(0.723081\pi\)
\(468\) 0.983964 1.14847i 0.0454838 0.0530880i
\(469\) −4.36188 + 2.71452i −0.201413 + 0.125345i
\(470\) 10.2351 + 38.1980i 0.472111 + 1.76194i
\(471\) 6.08036 0.280168
\(472\) −17.9532 −0.826364
\(473\) 9.13127 + 34.0784i 0.419856 + 1.56692i
\(474\) −1.29584 + 0.347220i −0.0595201 + 0.0159484i
\(475\) 4.60565 + 1.23408i 0.211322 + 0.0566235i
\(476\) −3.53639 3.30986i −0.162090 0.151707i
\(477\) −0.139208 0.241116i −0.00637391 0.0110399i
\(478\) 4.89286i 0.223794i
\(479\) 13.3439 + 3.57549i 0.609699 + 0.163368i 0.550441 0.834874i \(-0.314460\pi\)
0.0592583 + 0.998243i \(0.481126\pi\)
\(480\) −5.82913 3.36545i −0.266062 0.153611i
\(481\) −16.2529 + 11.1333i −0.741070 + 0.507636i
\(482\) 13.9672i 0.636189i
\(483\) −21.5740 5.02237i −0.981651 0.228526i
\(484\) −3.98026 + 6.89402i −0.180921 + 0.313364i
\(485\) 5.54986 + 3.20421i 0.252006 + 0.145496i
\(486\) −1.50246 + 0.402582i −0.0681528 + 0.0182615i
\(487\) 21.2572 21.2572i 0.963257 0.963257i −0.0360915 0.999348i \(-0.511491\pi\)
0.999348 + 0.0360915i \(0.0114908\pi\)
\(488\) 3.01759 + 11.2618i 0.136600 + 0.509798i
\(489\) 10.0711 10.0711i 0.455430 0.455430i
\(490\) −26.0727 + 17.4477i −1.17785 + 0.788208i
\(491\) 27.2827 + 15.7517i 1.23125 + 0.710863i 0.967291 0.253670i \(-0.0816377\pi\)
0.263961 + 0.964533i \(0.414971\pi\)
\(492\) −1.19176 1.19176i −0.0537286 0.0537286i
\(493\) −3.85175 + 6.67143i −0.173474 + 0.300466i
\(494\) −6.15016 5.26923i −0.276709 0.237074i
\(495\) −13.6623 + 7.88795i −0.614076 + 0.354537i
\(496\) 3.59429 0.963087i 0.161388 0.0432439i
\(497\) −26.3924 + 16.4247i −1.18386 + 0.736747i
\(498\) 8.18312 4.72452i 0.366694 0.211711i
\(499\) −22.5875 6.05231i −1.01116 0.270938i −0.285044 0.958515i \(-0.592008\pi\)
−0.726112 + 0.687576i \(0.758675\pi\)
\(500\) −1.45118 1.45118i −0.0648985 0.0648985i
\(501\) −1.58369 1.58369i −0.0707541 0.0707541i
\(502\) 37.1063 + 9.94261i 1.65614 + 0.443760i
\(503\) −7.16456 + 4.13646i −0.319452 + 0.184436i −0.651148 0.758951i \(-0.725712\pi\)
0.331696 + 0.943386i \(0.392379\pi\)
\(504\) −3.06420 + 5.73756i −0.136490 + 0.255571i
\(505\) −44.0968 + 11.8157i −1.96228 + 0.525792i
\(506\) 61.7499 35.6513i 2.74512 1.58490i
\(507\) −12.8462 + 1.99387i −0.570519 + 0.0885508i
\(508\) 0.730656 1.26553i 0.0324176 0.0561489i
\(509\) −6.51433 6.51433i −0.288742 0.288742i 0.547840 0.836583i \(-0.315450\pi\)
−0.836583 + 0.547840i \(0.815450\pi\)
\(510\) 16.9405 + 9.78060i 0.750138 + 0.433092i
\(511\) 33.6097 + 17.9496i 1.48681 + 0.794044i
\(512\) −8.50976 + 8.50976i −0.376082 + 0.376082i
\(513\) 0.373751 + 1.39486i 0.0165015 + 0.0615845i
\(514\) −6.76541 + 6.76541i −0.298409 + 0.298409i
\(515\) −29.6488 + 7.94436i −1.30648 + 0.350071i
\(516\) 2.34065 + 1.35138i 0.103041 + 0.0594910i
\(517\) −24.1561 + 41.8396i −1.06238 + 1.84010i
\(518\) −15.3655 + 16.4171i −0.675121 + 0.721326i
\(519\) 3.24988i 0.142654i
\(520\) 8.48825 + 24.0886i 0.372234 + 1.05635i
\(521\) 5.78613 + 3.34062i 0.253495 + 0.146355i 0.621364 0.783522i \(-0.286579\pi\)
−0.367869 + 0.929878i \(0.619912\pi\)
\(522\) −2.65180 0.710548i −0.116066 0.0310998i
\(523\) 32.1180i 1.40442i −0.711969 0.702211i \(-0.752196\pi\)
0.711969 0.702211i \(-0.247804\pi\)
\(524\) 1.21457 + 2.10369i 0.0530586 + 0.0919001i
\(525\) 5.96958 6.37814i 0.260534 0.278365i
\(526\) −25.7659 6.90396i −1.12345 0.301027i
\(527\) −3.36435 + 0.901475i −0.146553 + 0.0392689i
\(528\) −6.60790 24.6610i −0.287572 1.07323i
\(529\) −47.0945 −2.04759
\(530\) −1.24779 −0.0542005
\(531\) 1.89004 + 7.05373i 0.0820208 + 0.306106i
\(532\) −1.41359 0.754943i −0.0612869 0.0327309i
\(533\) 1.11432 + 14.4447i 0.0482665 + 0.625671i
\(534\) −4.63579 8.02942i −0.200610 0.347467i
\(535\) −10.8514 + 40.4979i −0.469146 + 1.75088i
\(536\) 2.38696 + 4.13434i 0.103101 + 0.178576i
\(537\) 10.5851 18.3339i 0.456779 0.791165i
\(538\) 2.54240 + 2.54240i 0.109611 + 0.109611i
\(539\) −37.5957 7.45083i −1.61936 0.320930i
\(540\) −0.312796 + 1.16737i −0.0134606 + 0.0502356i
\(541\) −1.62221 + 6.05418i −0.0697443 + 0.260289i −0.991990 0.126314i \(-0.959685\pi\)
0.922246 + 0.386604i \(0.126352\pi\)
\(542\) 10.0796i 0.432957i
\(543\) 16.0402 9.26084i 0.688353 0.397421i
\(544\) −7.20974 + 7.20974i −0.309115 + 0.309115i
\(545\) −24.7953 −1.06211
\(546\) −13.8239 + 5.39150i −0.591610 + 0.230735i
\(547\) −17.9848 −0.768973 −0.384487 0.923131i \(-0.625622\pi\)
−0.384487 + 0.923131i \(0.625622\pi\)
\(548\) −1.01659 + 1.01659i −0.0434267 + 0.0434267i
\(549\) 4.10703 2.37119i 0.175284 0.101200i
\(550\) 28.1206i 1.19907i
\(551\) −0.659662 + 2.46189i −0.0281026 + 0.104880i
\(552\) −5.32728 + 19.8817i −0.226744 + 0.846220i
\(553\) 2.22249 + 0.517390i 0.0945099 + 0.0220017i
\(554\) 26.5915 + 26.5915i 1.12976 + 1.12976i
\(555\) 7.87160 13.6340i 0.334131 0.578732i
\(556\) 3.91295 + 6.77742i 0.165946 + 0.287427i
\(557\) 9.77773 36.4910i 0.414296 1.54617i −0.371946 0.928254i \(-0.621309\pi\)
0.786242 0.617919i \(-0.212024\pi\)
\(558\) −0.620634 1.07497i −0.0262736 0.0455071i
\(559\) −7.72133 21.9121i −0.326577 0.926785i
\(560\) 18.7816 + 30.1797i 0.793669 + 1.27533i
\(561\) 6.18517 + 23.0834i 0.261138 + 0.974580i
\(562\) 40.9584 1.72773
\(563\) −6.37316 −0.268596 −0.134298 0.990941i \(-0.542878\pi\)
−0.134298 + 0.990941i \(0.542878\pi\)
\(564\) 0.957909 + 3.57496i 0.0403352 + 0.150533i
\(565\) −37.9287 + 10.1630i −1.59567 + 0.427559i
\(566\) −18.7876 5.03413i −0.789703 0.211600i
\(567\) 2.57685 + 0.599883i 0.108217 + 0.0251927i
\(568\) 14.4428 + 25.0156i 0.606005 + 1.04963i
\(569\) 4.40653i 0.184731i −0.995725 0.0923657i \(-0.970557\pi\)
0.995725 0.0923657i \(-0.0294429\pi\)
\(570\) 6.25139 + 1.67505i 0.261842 + 0.0701603i
\(571\) 12.2682 + 7.08302i 0.513406 + 0.296415i 0.734233 0.678898i \(-0.237542\pi\)
−0.220826 + 0.975313i \(0.570875\pi\)
\(572\) 3.57640 7.46829i 0.149537 0.312265i
\(573\) 27.4180i 1.14540i
\(574\) 4.80573 + 15.8224i 0.200587 + 0.660414i
\(575\) 13.8221 23.9405i 0.576419 0.998388i
\(576\) 4.92965 + 2.84613i 0.205402 + 0.118589i
\(577\) 8.98371 2.40718i 0.373997 0.100212i −0.0669241 0.997758i \(-0.521319\pi\)
0.440921 + 0.897546i \(0.354652\pi\)
\(578\) 2.25493 2.25493i 0.0937929 0.0937929i
\(579\) 4.93597 + 18.4213i 0.205132 + 0.765563i
\(580\) −1.50830 + 1.50830i −0.0626289 + 0.0626289i
\(581\) −16.0635 + 0.531508i −0.666428 + 0.0220507i
\(582\) 2.99607 + 1.72978i 0.124191 + 0.0717018i
\(583\) −1.07792 1.07792i −0.0446428 0.0446428i
\(584\) 17.7028 30.6621i 0.732547 1.26881i
\(585\) 8.57067 5.87094i 0.354354 0.242733i
\(586\) −0.118733 + 0.0685503i −0.00490480 + 0.00283179i
\(587\) −10.0172 + 2.68411i −0.413455 + 0.110785i −0.459550 0.888152i \(-0.651989\pi\)
0.0460944 + 0.998937i \(0.485322\pi\)
\(588\) −2.44016 + 1.63294i −0.100630 + 0.0673412i
\(589\) −0.997987 + 0.576188i −0.0411213 + 0.0237414i
\(590\) 31.6130 + 8.47066i 1.30148 + 0.348732i
\(591\) 3.28269 + 3.28269i 0.135032 + 0.135032i
\(592\) 18.0157 + 18.0157i 0.740441 + 0.740441i
\(593\) 11.6126 + 3.11158i 0.476871 + 0.127777i 0.489245 0.872146i \(-0.337272\pi\)
−0.0123741 + 0.999923i \(0.503939\pi\)
\(594\) −7.37555 + 4.25828i −0.302623 + 0.174719i
\(595\) −17.5801 28.2490i −0.720714 1.15810i
\(596\) −5.79182 + 1.55191i −0.237242 + 0.0635688i
\(597\) −0.387218 + 0.223560i −0.0158478 + 0.00914972i
\(598\) −38.7371 + 26.5350i −1.58408 + 1.08510i
\(599\) −9.16962 + 15.8822i −0.374660 + 0.648931i −0.990276 0.139116i \(-0.955574\pi\)
0.615616 + 0.788046i \(0.288907\pi\)
\(600\) −5.74001 5.74001i −0.234335 0.234335i
\(601\) 29.4396 + 16.9969i 1.20086 + 0.693319i 0.960747 0.277424i \(-0.0894808\pi\)
0.240117 + 0.970744i \(0.422814\pi\)
\(602\) −14.0111 22.5140i −0.571048 0.917602i
\(603\) 1.37307 1.37307i 0.0559159 0.0559159i
\(604\) 0.00223293 + 0.00833342i 9.08568e−5 + 0.000339082i
\(605\) −38.6668 + 38.6668i −1.57203 + 1.57203i
\(606\) −23.8055 + 6.37866i −0.967031 + 0.259115i
\(607\) 35.5453 + 20.5221i 1.44274 + 0.832965i 0.998032 0.0627107i \(-0.0199745\pi\)
0.444707 + 0.895676i \(0.353308\pi\)
\(608\) −1.68672 + 2.92148i −0.0684053 + 0.118482i
\(609\) 3.40936 + 3.19097i 0.138154 + 0.129305i
\(610\) 21.2541i 0.860554i
\(611\) 13.7409 28.6939i 0.555896 1.16083i
\(612\) 1.58547 + 0.915370i 0.0640887 + 0.0370016i
\(613\) −25.8999 6.93987i −1.04609 0.280299i −0.305454 0.952207i \(-0.598808\pi\)
−0.740635 + 0.671908i \(0.765475\pi\)
\(614\) 16.6901i 0.673558i
\(615\) −5.78875 10.0264i −0.233425 0.404303i
\(616\) −8.07495 + 34.6866i −0.325349 + 1.39756i
\(617\) −10.2681 2.75133i −0.413378 0.110764i 0.0461351 0.998935i \(-0.485310\pi\)
−0.459513 + 0.888171i \(0.651976\pi\)
\(618\) −16.0058 + 4.28873i −0.643847 + 0.172518i
\(619\) −7.23874 27.0153i −0.290949 1.08584i −0.944381 0.328853i \(-0.893338\pi\)
0.653432 0.756985i \(-0.273329\pi\)
\(620\) −0.964435 −0.0387326
\(621\) 8.37225 0.335967
\(622\) 12.1699 + 45.4187i 0.487969 + 1.82112i
\(623\) 0.521525 + 15.7618i 0.0208945 + 0.631485i
\(624\) 5.58759 + 15.8569i 0.223683 + 0.634783i
\(625\) −15.3035 26.5064i −0.612140 1.06026i
\(626\) 11.6165 43.3533i 0.464288 1.73275i
\(627\) 3.95332 + 6.84736i 0.157881 + 0.273457i
\(628\) 1.27520 2.20870i 0.0508858 0.0881368i
\(629\) −16.8632 16.8632i −0.672379 0.672379i
\(630\) 8.10270 8.65725i 0.322819 0.344913i
\(631\) −0.748324 + 2.79278i −0.0297903 + 0.111179i −0.979220 0.202801i \(-0.934996\pi\)
0.949430 + 0.313980i \(0.101662\pi\)
\(632\) 0.548800 2.04815i 0.0218301 0.0814711i
\(633\) 28.7589i 1.14307i
\(634\) 22.6037 13.0503i 0.897708 0.518292i
\(635\) 7.09805 7.09805i 0.281677 0.281677i
\(636\) −0.116781 −0.00463067
\(637\) 25.0614 + 2.98774i 0.992969 + 0.118378i
\(638\) −15.0315 −0.595103
\(639\) 8.30803 8.30803i 0.328661 0.328661i
\(640\) 33.7516 19.4865i 1.33415 0.770272i
\(641\) 15.0751i 0.595431i 0.954655 + 0.297715i \(0.0962246\pi\)
−0.954655 + 0.297715i \(0.903775\pi\)
\(642\) −5.85807 + 21.8626i −0.231200 + 0.862849i
\(643\) 10.7996 40.3048i 0.425896 1.58946i −0.336063 0.941839i \(-0.609096\pi\)
0.761959 0.647625i \(-0.224238\pi\)
\(644\) −6.34896 + 6.78348i −0.250184 + 0.267307i
\(645\) 13.1281 + 13.1281i 0.516919 + 0.516919i
\(646\) 4.90190 8.49033i 0.192863 0.334048i
\(647\) −0.214109 0.370847i −0.00841747 0.0145795i 0.861786 0.507272i \(-0.169346\pi\)
−0.870203 + 0.492693i \(0.836013\pi\)
\(648\) 0.636302 2.37471i 0.0249963 0.0932875i
\(649\) 19.9918 + 34.6267i 0.784745 + 1.35922i
\(650\) −1.42430 18.4630i −0.0558657 0.724178i
\(651\) 0.0698212 + 2.11018i 0.00273651 + 0.0827044i
\(652\) −1.54619 5.77047i −0.0605536 0.225989i
\(653\) −16.3850 −0.641195 −0.320597 0.947216i \(-0.603884\pi\)
−0.320597 + 0.947216i \(0.603884\pi\)
\(654\) −13.3856 −0.523420
\(655\) 4.31875 + 16.1178i 0.168748 + 0.629775i
\(656\) 18.0980 4.84936i 0.706610 0.189336i
\(657\) −13.9107 3.72736i −0.542707 0.145418i
\(658\) 8.23334 35.3670i 0.320969 1.37875i
\(659\) −13.2020 22.8666i −0.514278 0.890755i −0.999863 0.0165659i \(-0.994727\pi\)
0.485585 0.874190i \(-0.338607\pi\)
\(660\) 6.61715i 0.257572i
\(661\) 26.7452 + 7.16635i 1.04027 + 0.278739i 0.738224 0.674555i \(-0.235665\pi\)
0.302043 + 0.953294i \(0.402331\pi\)
\(662\) 8.47684 + 4.89411i 0.329462 + 0.190215i
\(663\) −5.23013 14.8424i −0.203121 0.576433i
\(664\) 14.9347i 0.579580i
\(665\) −8.03726 7.52243i −0.311672 0.291707i
\(666\) 4.24945 7.36027i 0.164663 0.285205i
\(667\) 12.7971 + 7.38841i 0.495506 + 0.286080i
\(668\) −0.907416 + 0.243141i −0.0351090 + 0.00940742i
\(669\) 10.3042 10.3042i 0.398384 0.398384i
\(670\) −2.25243 8.40618i −0.0870189 0.324759i
\(671\) 18.3606 18.3606i 0.708805 0.708805i
\(672\) 3.26564 + 5.24748i 0.125975 + 0.202426i
\(673\) −16.8918 9.75249i −0.651131 0.375931i 0.137758 0.990466i \(-0.456010\pi\)
−0.788889 + 0.614535i \(0.789344\pi\)
\(674\) −18.8535 18.8535i −0.726210 0.726210i
\(675\) −1.65094 + 2.85951i −0.0635446 + 0.110062i
\(676\) −1.96987 + 5.08456i −0.0757642 + 0.195560i
\(677\) −1.91182 + 1.10379i −0.0734772 + 0.0424221i −0.536288 0.844035i \(-0.680174\pi\)
0.462811 + 0.886457i \(0.346841\pi\)
\(678\) −20.4756 + 5.48643i −0.786362 + 0.210705i
\(679\) −3.10919 4.99607i −0.119320 0.191732i
\(680\) −26.7754 + 15.4588i −1.02679 + 0.592816i
\(681\) 17.3155 + 4.63969i 0.663533 + 0.177793i
\(682\) −4.80570 4.80570i −0.184020 0.184020i
\(683\) −9.24232 9.24232i −0.353647 0.353647i 0.507817 0.861465i \(-0.330452\pi\)
−0.861465 + 0.507817i \(0.830452\pi\)
\(684\) 0.585069 + 0.156769i 0.0223707 + 0.00599421i
\(685\) −8.55271 + 4.93791i −0.326782 + 0.188668i
\(686\) 28.6658 2.85380i 1.09446 0.108959i
\(687\) −6.61427 + 1.77229i −0.252350 + 0.0676170i
\(688\) −26.0208 + 15.0231i −0.992035 + 0.572752i
\(689\) 0.762319 + 0.653127i 0.0290421 + 0.0248821i
\(690\) 18.7611 32.4952i 0.714223 1.23707i
\(691\) −35.9312 35.9312i −1.36689 1.36689i −0.864842 0.502045i \(-0.832581\pi\)
−0.502045 0.864842i \(-0.667419\pi\)
\(692\) 1.18053 + 0.681577i 0.0448768 + 0.0259097i
\(693\) 14.4783 0.479055i 0.549985 0.0181978i
\(694\) 4.65219 4.65219i 0.176595 0.176595i
\(695\) 13.9137 + 51.9265i 0.527775 + 1.96968i
\(696\) 3.06825 3.06825i 0.116302 0.116302i
\(697\) −16.9402 + 4.53912i −0.641657 + 0.171932i
\(698\) 25.1048 + 14.4943i 0.950230 + 0.548616i
\(699\) 3.89276 6.74247i 0.147238 0.255023i
\(700\) −1.06491 3.50611i −0.0402498 0.132518i
\(701\) 12.9407i 0.488765i −0.969679 0.244383i \(-0.921415\pi\)
0.969679 0.244383i \(-0.0785853\pi\)
\(702\) 4.62684 3.16940i 0.174629 0.119621i
\(703\) −6.83317 3.94513i −0.257718 0.148793i
\(704\) 30.1047 + 8.06654i 1.13461 + 0.304019i
\(705\) 25.4237i 0.957513i
\(706\) 3.46444 + 6.00059i 0.130386 + 0.225835i
\(707\) 40.8285 + 9.50477i 1.53551 + 0.357464i
\(708\) 2.95867 + 0.792772i 0.111193 + 0.0297942i
\(709\) −23.8425 + 6.38859i −0.895426 + 0.239929i −0.677051 0.735936i \(-0.736742\pi\)
−0.218375 + 0.975865i \(0.570076\pi\)
\(710\) −13.6287 50.8631i −0.511477 1.90886i
\(711\) −0.862484 −0.0323457
\(712\) 14.6542 0.549190
\(713\) 1.72920 + 6.45347i 0.0647592 + 0.241684i
\(714\) −9.49055 15.2501i −0.355175 0.570721i
\(715\) 37.0081 43.1952i 1.38402 1.61541i
\(716\) −4.43987 7.69008i −0.165926 0.287392i
\(717\) −0.814143 + 3.03842i −0.0304047 + 0.113472i
\(718\) 12.7638 + 22.1075i 0.476340 + 0.825045i
\(719\) −7.46614 + 12.9317i −0.278440 + 0.482273i −0.970997 0.239091i \(-0.923151\pi\)
0.692557 + 0.721363i \(0.256484\pi\)
\(720\) −9.50024 9.50024i −0.354053 0.354053i
\(721\) 27.4513 + 6.39060i 1.02234 + 0.237998i
\(722\) −6.80954 + 25.4136i −0.253425 + 0.945795i
\(723\) 2.32406 8.67353i 0.0864329 0.322572i
\(724\) 7.76886i 0.288727i
\(725\) −5.04696 + 2.91387i −0.187439 + 0.108218i
\(726\) −20.8741 + 20.8741i −0.774711 + 0.774711i
\(727\) 8.06701 0.299189 0.149595 0.988747i \(-0.452203\pi\)
0.149595 + 0.988747i \(0.452203\pi\)
\(728\) 3.54486 23.1830i 0.131381 0.859218i
\(729\) −1.00000 −0.0370370
\(730\) −45.6390 + 45.6390i −1.68917 + 1.68917i
\(731\) 24.3562 14.0620i 0.900846 0.520104i
\(732\) 1.98918i 0.0735222i
\(733\) 0.991378 3.69987i 0.0366174 0.136658i −0.945197 0.326500i \(-0.894131\pi\)
0.981815 + 0.189842i \(0.0607975\pi\)
\(734\) −11.2441 + 41.9635i −0.415026 + 1.54890i
\(735\) −19.0942 + 6.49654i −0.704299 + 0.239628i
\(736\) 13.8297 + 13.8297i 0.509769 + 0.509769i
\(737\) 5.31600 9.20757i 0.195817 0.339165i
\(738\) −3.12503 5.41271i −0.115034 0.199245i
\(739\) 4.96535 18.5309i 0.182653 0.681671i −0.812467 0.583007i \(-0.801876\pi\)
0.995121 0.0986647i \(-0.0314571\pi\)
\(740\) −3.30172 5.71875i −0.121374 0.210225i
\(741\) −2.94243 4.29550i −0.108093 0.157799i
\(742\) 1.01068 + 0.539764i 0.0371032 + 0.0198153i
\(743\) 2.24541 + 8.37997i 0.0823759 + 0.307431i 0.994804 0.101805i \(-0.0324618\pi\)
−0.912428 + 0.409236i \(0.865795\pi\)
\(744\) 1.96189 0.0719264
\(745\) −41.1891 −1.50905
\(746\) −2.35435 8.78656i −0.0861989 0.321699i
\(747\) 5.86778 1.57227i 0.214691 0.0575262i
\(748\) 9.68225 + 2.59435i 0.354018 + 0.0948588i
\(749\) 26.3078 28.1083i 0.961264 1.02705i
\(750\) −3.80527 6.59093i −0.138949 0.240667i
\(751\) 30.1279i 1.09938i 0.835367 + 0.549692i \(0.185255\pi\)
−0.835367 + 0.549692i \(0.814745\pi\)
\(752\) −39.7426 10.6490i −1.44926 0.388329i
\(753\) 21.3883 + 12.3486i 0.779434 + 0.450006i
\(754\) 9.86916 0.761343i 0.359414 0.0277265i
\(755\) 0.0592640i 0.00215684i
\(756\) 0.758334 0.810234i 0.0275803 0.0294679i
\(757\) −0.444897 + 0.770584i −0.0161700 + 0.0280073i −0.873997 0.485931i \(-0.838481\pi\)
0.857827 + 0.513938i \(0.171814\pi\)
\(758\) −2.14223 1.23681i −0.0778091 0.0449231i
\(759\) 44.2784 11.8644i 1.60720 0.430649i
\(760\) −7.23314 + 7.23314i −0.262373 + 0.262373i
\(761\) −12.4145 46.3316i −0.450026 1.67952i −0.702314 0.711867i \(-0.747850\pi\)
0.252288 0.967652i \(-0.418817\pi\)
\(762\) 3.83185 3.83185i 0.138813 0.138813i
\(763\) 20.0836 + 10.7258i 0.727075 + 0.388302i
\(764\) −9.95963 5.75019i −0.360327 0.208035i
\(765\) 8.89247 + 8.89247i 0.321508 + 0.321508i
\(766\) −10.9542 + 18.9732i −0.395791 + 0.685530i
\(767\) −14.8797 21.7221i −0.537275 0.784340i
\(768\) 8.36139 4.82745i 0.301716 0.174196i
\(769\) 4.85396 1.30061i 0.175038 0.0469013i −0.170235 0.985403i \(-0.554453\pi\)
0.345274 + 0.938502i \(0.387786\pi\)
\(770\) 30.5846 57.2680i 1.10219 2.06380i
\(771\) −5.32699 + 3.07554i −0.191847 + 0.110763i
\(772\) 7.72676 + 2.07038i 0.278092 + 0.0745146i
\(773\) 9.15642 + 9.15642i 0.329333 + 0.329333i 0.852333 0.523000i \(-0.175187\pi\)
−0.523000 + 0.852333i \(0.675187\pi\)