Properties

Label 144.2.x.e.85.8
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.8
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.704761 - 1.22610i) q^{2} +(-1.58205 + 0.705067i) q^{3} +(-1.00662 + 1.72821i) q^{4} +(2.53632 - 0.679606i) q^{5} +(1.97945 + 1.44284i) q^{6} +(0.614293 - 0.354662i) q^{7} +(2.82838 + 0.0162452i) q^{8} +(2.00576 - 2.23090i) q^{9} +O(q^{10})\) \(q+(-0.704761 - 1.22610i) q^{2} +(-1.58205 + 0.705067i) q^{3} +(-1.00662 + 1.72821i) q^{4} +(2.53632 - 0.679606i) q^{5} +(1.97945 + 1.44284i) q^{6} +(0.614293 - 0.354662i) q^{7} +(2.82838 + 0.0162452i) q^{8} +(2.00576 - 2.23090i) q^{9} +(-2.62076 - 2.63082i) q^{10} +(0.973103 - 3.63167i) q^{11} +(0.374026 - 3.44385i) q^{12} +(0.139092 + 0.519100i) q^{13} +(-0.867779 - 0.503230i) q^{14} +(-3.53342 + 2.86345i) q^{15} +(-1.97341 - 3.47932i) q^{16} +6.08347 q^{17} +(-4.14888 - 0.887003i) q^{18} +(-1.86732 + 1.86732i) q^{19} +(-1.37863 + 5.06741i) q^{20} +(-0.721781 + 0.994211i) q^{21} +(-5.13858 + 1.36634i) q^{22} +(4.94479 + 2.85488i) q^{23} +(-4.48609 + 1.96850i) q^{24} +(1.64095 - 0.947401i) q^{25} +(0.538439 - 0.536382i) q^{26} +(-1.60027 + 4.94359i) q^{27} +(-0.00543207 + 1.41864i) q^{28} +(-9.68396 - 2.59481i) q^{29} +(6.00108 + 2.31427i) q^{30} +(2.14190 - 3.70987i) q^{31} +(-2.87519 + 4.87168i) q^{32} +(1.02107 + 6.43158i) q^{33} +(-4.28739 - 7.45892i) q^{34} +(1.31701 - 1.31701i) q^{35} +(1.83642 + 5.71205i) q^{36} +(3.75493 + 3.75493i) q^{37} +(3.60553 + 0.973500i) q^{38} +(-0.586051 - 0.723172i) q^{39} +(7.18473 - 1.88098i) q^{40} +(-1.57053 - 0.906743i) q^{41} +(1.72768 + 0.184292i) q^{42} +(-2.31189 + 8.62809i) q^{43} +(5.29673 + 5.33745i) q^{44} +(3.57112 - 7.02142i) q^{45} +(0.0154594 - 8.07480i) q^{46} +(-2.95451 - 5.11737i) q^{47} +(5.57519 + 4.11306i) q^{48} +(-3.24843 + 5.62645i) q^{49} +(-2.31808 - 1.34427i) q^{50} +(-9.62435 + 4.28926i) q^{51} +(-1.03713 - 0.282158i) q^{52} +(-8.56219 - 8.56219i) q^{53} +(7.18913 - 1.52196i) q^{54} -9.87242i q^{55} +(1.74322 - 0.993140i) q^{56} +(1.63761 - 4.27078i) q^{57} +(3.64339 + 13.7022i) q^{58} +(-5.19620 + 1.39232i) q^{59} +(-1.39181 - 8.98891i) q^{60} +(0.655507 + 0.175643i) q^{61} +(-6.05818 - 0.0115986i) q^{62} +(0.440907 - 2.08179i) q^{63} +(7.99947 + 0.0918952i) q^{64} +(0.705566 + 1.22208i) q^{65} +(7.16613 - 5.78466i) q^{66} +(-1.96451 - 7.33165i) q^{67} +(-6.12377 + 10.5135i) q^{68} +(-9.83579 - 1.03015i) q^{69} +(-2.54297 - 0.686607i) q^{70} +2.51212i q^{71} +(5.70929 - 6.27726i) q^{72} +7.36013i q^{73} +(1.95758 - 7.25023i) q^{74} +(-1.92808 + 2.65581i) q^{75} +(-1.34743 - 5.10681i) q^{76} +(-0.690245 - 2.57603i) q^{77} +(-0.473652 + 1.22822i) q^{78} +(0.0143249 + 0.0248115i) q^{79} +(-7.36978 - 7.48353i) q^{80} +(-0.953853 - 8.94931i) q^{81} +(-0.00491010 + 2.56465i) q^{82} +(14.9332 + 4.00134i) q^{83} +(-0.991642 - 2.24819i) q^{84} +(15.4297 - 4.13436i) q^{85} +(12.2082 - 3.24614i) q^{86} +(17.1500 - 2.72273i) q^{87} +(2.81130 - 10.2559i) q^{88} +1.86690i q^{89} +(-11.1257 + 0.569879i) q^{90} +(0.269548 + 0.269548i) q^{91} +(-9.91138 + 5.67185i) q^{92} +(-0.772875 + 7.37938i) q^{93} +(-4.19216 + 7.22904i) q^{94} +(-3.46709 + 6.00517i) q^{95} +(1.11383 - 9.73444i) q^{96} +(5.66064 + 9.80452i) q^{97} +(9.18793 + 0.0175906i) q^{98} +(-6.15009 - 9.45516i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.704761 1.22610i −0.498341 0.866981i
\(3\) −1.58205 + 0.705067i −0.913397 + 0.407071i
\(4\) −1.00662 + 1.72821i −0.503312 + 0.864105i
\(5\) 2.53632 0.679606i 1.13428 0.303929i 0.357630 0.933863i \(-0.383585\pi\)
0.776648 + 0.629934i \(0.216918\pi\)
\(6\) 1.97945 + 1.44284i 0.808106 + 0.589037i
\(7\) 0.614293 0.354662i 0.232181 0.134050i −0.379397 0.925234i \(-0.623868\pi\)
0.611578 + 0.791184i \(0.290535\pi\)
\(8\) 2.82838 + 0.0162452i 0.999984 + 0.00574355i
\(9\) 2.00576 2.23090i 0.668587 0.743634i
\(10\) −2.62076 2.63082i −0.828758 0.831938i
\(11\) 0.973103 3.63167i 0.293402 1.09499i −0.649077 0.760723i \(-0.724845\pi\)
0.942478 0.334267i \(-0.108489\pi\)
\(12\) 0.374026 3.44385i 0.107972 0.994154i
\(13\) 0.139092 + 0.519100i 0.0385773 + 0.143972i 0.982528 0.186113i \(-0.0595891\pi\)
−0.943951 + 0.330085i \(0.892922\pi\)
\(14\) −0.867779 0.503230i −0.231924 0.134494i
\(15\) −3.53342 + 2.86345i −0.912325 + 0.739339i
\(16\) −1.97341 3.47932i −0.493353 0.869829i
\(17\) 6.08347 1.47546 0.737729 0.675096i \(-0.235898\pi\)
0.737729 + 0.675096i \(0.235898\pi\)
\(18\) −4.14888 0.887003i −0.977901 0.209069i
\(19\) −1.86732 + 1.86732i −0.428392 + 0.428392i −0.888080 0.459688i \(-0.847961\pi\)
0.459688 + 0.888080i \(0.347961\pi\)
\(20\) −1.37863 + 5.06741i −0.308270 + 1.13311i
\(21\) −0.721781 + 0.994211i −0.157505 + 0.216955i
\(22\) −5.13858 + 1.36634i −1.09555 + 0.291305i
\(23\) 4.94479 + 2.85488i 1.03106 + 0.595283i 0.917288 0.398224i \(-0.130373\pi\)
0.113772 + 0.993507i \(0.463707\pi\)
\(24\) −4.48609 + 1.96850i −0.915720 + 0.401818i
\(25\) 1.64095 0.947401i 0.328189 0.189480i
\(26\) 0.538439 0.536382i 0.105597 0.105193i
\(27\) −1.60027 + 4.94359i −0.307973 + 0.951395i
\(28\) −0.00543207 + 1.41864i −0.00102656 + 0.268097i
\(29\) −9.68396 2.59481i −1.79827 0.481844i −0.804561 0.593870i \(-0.797599\pi\)
−0.993705 + 0.112026i \(0.964266\pi\)
\(30\) 6.00108 + 2.31427i 1.09564 + 0.422526i
\(31\) 2.14190 3.70987i 0.384696 0.666313i −0.607031 0.794678i \(-0.707640\pi\)
0.991727 + 0.128365i \(0.0409730\pi\)
\(32\) −2.87519 + 4.87168i −0.508267 + 0.861199i
\(33\) 1.02107 + 6.43158i 0.177746 + 1.11959i
\(34\) −4.28739 7.45892i −0.735282 1.27919i
\(35\) 1.31701 1.31701i 0.222616 0.222616i
\(36\) 1.83642 + 5.71205i 0.306070 + 0.952009i
\(37\) 3.75493 + 3.75493i 0.617307 + 0.617307i 0.944840 0.327533i \(-0.106217\pi\)
−0.327533 + 0.944840i \(0.606217\pi\)
\(38\) 3.60553 + 0.973500i 0.584894 + 0.157923i
\(39\) −0.586051 0.723172i −0.0938433 0.115800i
\(40\) 7.18473 1.88098i 1.13601 0.297409i
\(41\) −1.57053 0.906743i −0.245275 0.141610i 0.372324 0.928103i \(-0.378561\pi\)
−0.617599 + 0.786493i \(0.711894\pi\)
\(42\) 1.72768 + 0.184292i 0.266587 + 0.0284369i
\(43\) −2.31189 + 8.62809i −0.352560 + 1.31577i 0.530968 + 0.847392i \(0.321828\pi\)
−0.883528 + 0.468379i \(0.844838\pi\)
\(44\) 5.29673 + 5.33745i 0.798513 + 0.804651i
\(45\) 3.57112 7.02142i 0.532352 1.04669i
\(46\) 0.0154594 8.07480i 0.00227937 1.19056i
\(47\) −2.95451 5.11737i −0.430960 0.746445i 0.565996 0.824408i \(-0.308492\pi\)
−0.996956 + 0.0779629i \(0.975158\pi\)
\(48\) 5.57519 + 4.11306i 0.804709 + 0.593669i
\(49\) −3.24843 + 5.62645i −0.464061 + 0.803778i
\(50\) −2.31808 1.34427i −0.327826 0.190108i
\(51\) −9.62435 + 4.28926i −1.34768 + 0.600616i
\(52\) −1.03713 0.282158i −0.143824 0.0391283i
\(53\) −8.56219 8.56219i −1.17611 1.17611i −0.980728 0.195380i \(-0.937406\pi\)
−0.195380 0.980728i \(-0.562594\pi\)
\(54\) 7.18913 1.52196i 0.978317 0.207112i
\(55\) 9.87242i 1.33120i
\(56\) 1.74322 0.993140i 0.232947 0.132714i
\(57\) 1.63761 4.27078i 0.216906 0.565678i
\(58\) 3.64339 + 13.7022i 0.478400 + 1.79919i
\(59\) −5.19620 + 1.39232i −0.676487 + 0.181264i −0.580675 0.814135i \(-0.697211\pi\)
−0.0958118 + 0.995399i \(0.530545\pi\)
\(60\) −1.39181 8.98891i −0.179682 1.16046i
\(61\) 0.655507 + 0.175643i 0.0839291 + 0.0224887i 0.300539 0.953769i \(-0.402833\pi\)
−0.216610 + 0.976258i \(0.569500\pi\)
\(62\) −6.05818 0.0115986i −0.769390 0.00147302i
\(63\) 0.440907 2.08179i 0.0555491 0.262281i
\(64\) 7.99947 + 0.0918952i 0.999934 + 0.0114869i
\(65\) 0.705566 + 1.22208i 0.0875147 + 0.151580i
\(66\) 7.16613 5.78466i 0.882089 0.712043i
\(67\) −1.96451 7.33165i −0.240003 0.895703i −0.975829 0.218533i \(-0.929873\pi\)
0.735826 0.677170i \(-0.236794\pi\)
\(68\) −6.12377 + 10.5135i −0.742617 + 1.27495i
\(69\) −9.83579 1.03015i −1.18409 0.124015i
\(70\) −2.54297 0.686607i −0.303943 0.0820652i
\(71\) 2.51212i 0.298134i 0.988827 + 0.149067i \(0.0476271\pi\)
−0.988827 + 0.149067i \(0.952373\pi\)
\(72\) 5.70929 6.27726i 0.672847 0.739782i
\(73\) 7.36013i 0.861437i 0.902486 + 0.430719i \(0.141740\pi\)
−0.902486 + 0.430719i \(0.858260\pi\)
\(74\) 1.95758 7.25023i 0.227564 0.842822i
\(75\) −1.92808 + 2.65581i −0.222635 + 0.306667i
\(76\) −1.34743 5.10681i −0.154561 0.585791i
\(77\) −0.690245 2.57603i −0.0786608 0.293566i
\(78\) −0.473652 + 1.22822i −0.0536306 + 0.139068i
\(79\) 0.0143249 + 0.0248115i 0.00161168 + 0.00279151i 0.866830 0.498604i \(-0.166154\pi\)
−0.865218 + 0.501395i \(0.832820\pi\)
\(80\) −7.36978 7.48353i −0.823966 0.836684i
\(81\) −0.953853 8.94931i −0.105984 0.994368i
\(82\) −0.00491010 + 2.56465i −0.000542230 + 0.283219i
\(83\) 14.9332 + 4.00134i 1.63913 + 0.439204i 0.956541 0.291598i \(-0.0941869\pi\)
0.682590 + 0.730802i \(0.260854\pi\)
\(84\) −0.991642 2.24819i −0.108197 0.245297i
\(85\) 15.4297 4.13436i 1.67358 0.448435i
\(86\) 12.2082 3.24614i 1.31644 0.350040i
\(87\) 17.1500 2.72273i 1.83867 0.291907i
\(88\) 2.81130 10.2559i 0.299686 1.09329i
\(89\) 1.86690i 0.197891i 0.995093 + 0.0989453i \(0.0315469\pi\)
−0.995093 + 0.0989453i \(0.968453\pi\)
\(90\) −11.1257 + 0.569879i −1.17275 + 0.0600705i
\(91\) 0.269548 + 0.269548i 0.0282563 + 0.0282563i
\(92\) −9.91138 + 5.67185i −1.03333 + 0.591331i
\(93\) −0.772875 + 7.37938i −0.0801434 + 0.765206i
\(94\) −4.19216 + 7.22904i −0.432389 + 0.745619i
\(95\) −3.46709 + 6.00517i −0.355715 + 0.616117i
\(96\) 1.11383 9.73444i 0.113680 0.993517i
\(97\) 5.66064 + 9.80452i 0.574751 + 0.995498i 0.996069 + 0.0885851i \(0.0282345\pi\)
−0.421317 + 0.906913i \(0.638432\pi\)
\(98\) 9.18793 + 0.0175906i 0.928121 + 0.00177691i
\(99\) −6.15009 9.45516i −0.618107 0.950279i
\(100\) −0.0145106 + 3.78958i −0.00145106 + 0.378958i
\(101\) −0.0837506 + 0.312562i −0.00833350 + 0.0311010i −0.969967 0.243235i \(-0.921791\pi\)
0.961634 + 0.274336i \(0.0884581\pi\)
\(102\) 12.0419 + 8.77749i 1.19233 + 0.869101i
\(103\) −14.1155 8.14959i −1.39084 0.803003i −0.397434 0.917631i \(-0.630099\pi\)
−0.993408 + 0.114628i \(0.963432\pi\)
\(104\) 0.384973 + 1.47047i 0.0377497 + 0.144191i
\(105\) −1.15500 + 3.01217i −0.112716 + 0.293957i
\(106\) −4.46378 + 16.5324i −0.433560 + 1.60577i
\(107\) 6.25131 + 6.25131i 0.604337 + 0.604337i 0.941461 0.337123i \(-0.109454\pi\)
−0.337123 + 0.941461i \(0.609454\pi\)
\(108\) −6.93269 7.74195i −0.667098 0.744970i
\(109\) −6.40184 + 6.40184i −0.613185 + 0.613185i −0.943775 0.330590i \(-0.892752\pi\)
0.330590 + 0.943775i \(0.392752\pi\)
\(110\) −12.1045 + 6.95769i −1.15412 + 0.663390i
\(111\) −8.58796 3.29301i −0.815133 0.312558i
\(112\) −2.44624 1.43742i −0.231147 0.135824i
\(113\) −0.984349 + 1.70494i −0.0925997 + 0.160387i −0.908604 0.417658i \(-0.862851\pi\)
0.816005 + 0.578045i \(0.196184\pi\)
\(114\) −6.39051 + 1.00201i −0.598526 + 0.0938472i
\(115\) 14.4818 + 3.88038i 1.35043 + 0.361848i
\(116\) 14.2325 14.1239i 1.32145 1.31137i
\(117\) 1.43705 + 0.730888i 0.132855 + 0.0675706i
\(118\) 5.36919 + 5.38979i 0.494274 + 0.496170i
\(119\) 3.73703 2.15758i 0.342573 0.197785i
\(120\) −10.0404 + 8.04152i −0.916557 + 0.734087i
\(121\) −2.71581 1.56798i −0.246892 0.142543i
\(122\) −0.246621 0.927501i −0.0223280 0.0839720i
\(123\) 3.12396 + 0.327186i 0.281678 + 0.0295014i
\(124\) 4.25535 + 7.43609i 0.382142 + 0.667781i
\(125\) −5.76548 + 5.76548i −0.515680 + 0.515680i
\(126\) −2.86321 + 0.926572i −0.255075 + 0.0825456i
\(127\) 10.0479 0.891606 0.445803 0.895131i \(-0.352918\pi\)
0.445803 + 0.895131i \(0.352918\pi\)
\(128\) −5.52504 9.87289i −0.488349 0.872648i
\(129\) −2.42586 15.2801i −0.213585 1.34534i
\(130\) 1.00113 1.72636i 0.0878048 0.151412i
\(131\) −1.08874 4.06323i −0.0951236 0.355006i 0.901915 0.431914i \(-0.142162\pi\)
−0.997038 + 0.0769084i \(0.975495\pi\)
\(132\) −12.1430 4.70956i −1.05691 0.409915i
\(133\) −0.484813 + 1.80935i −0.0420387 + 0.156890i
\(134\) −7.60480 + 7.57574i −0.656955 + 0.654444i
\(135\) −0.699120 + 13.6261i −0.0601706 + 1.17275i
\(136\) 17.2064 + 0.0988273i 1.47543 + 0.00847437i
\(137\) −19.6597 + 11.3505i −1.67964 + 0.969742i −0.717756 + 0.696295i \(0.754831\pi\)
−0.961887 + 0.273447i \(0.911836\pi\)
\(138\) 5.66882 + 12.7856i 0.482562 + 1.08839i
\(139\) 10.5641 2.83063i 0.896032 0.240091i 0.218720 0.975788i \(-0.429812\pi\)
0.677311 + 0.735697i \(0.263145\pi\)
\(140\) 0.950337 + 3.60182i 0.0803182 + 0.304409i
\(141\) 8.28228 + 6.01280i 0.697494 + 0.506369i
\(142\) 3.08011 1.77045i 0.258477 0.148573i
\(143\) 2.02055 0.168967
\(144\) −11.7202 2.57618i −0.976684 0.214682i
\(145\) −26.3251 −2.18618
\(146\) 9.02422 5.18713i 0.746850 0.429290i
\(147\) 1.17215 11.1917i 0.0966776 0.923074i
\(148\) −10.2691 + 2.70950i −0.844115 + 0.222719i
\(149\) −0.633078 + 0.169633i −0.0518638 + 0.0138969i −0.284658 0.958629i \(-0.591880\pi\)
0.232794 + 0.972526i \(0.425213\pi\)
\(150\) 4.61512 + 0.492296i 0.376823 + 0.0401958i
\(151\) −4.98859 + 2.88016i −0.405965 + 0.234384i −0.689055 0.724709i \(-0.741974\pi\)
0.283089 + 0.959094i \(0.408641\pi\)
\(152\) −5.31183 + 5.25116i −0.430846 + 0.425925i
\(153\) 12.2020 13.5716i 0.986472 1.09720i
\(154\) −2.67200 + 2.66179i −0.215316 + 0.214493i
\(155\) 2.91129 10.8651i 0.233840 0.872704i
\(156\) 1.83973 0.284856i 0.147296 0.0228067i
\(157\) −2.02462 7.55600i −0.161583 0.603035i −0.998451 0.0556311i \(-0.982283\pi\)
0.836869 0.547404i \(-0.184384\pi\)
\(158\) 0.0203256 0.0350499i 0.00161702 0.00278842i
\(159\) 19.5827 + 7.50889i 1.55301 + 0.595493i
\(160\) −3.98160 + 14.3102i −0.314773 + 1.13132i
\(161\) 4.05007 0.319190
\(162\) −10.3005 + 7.47664i −0.809282 + 0.587420i
\(163\) −16.3912 + 16.3912i −1.28386 + 1.28386i −0.345408 + 0.938453i \(0.612259\pi\)
−0.938453 + 0.345408i \(0.887741\pi\)
\(164\) 3.14797 1.80145i 0.245815 0.140669i
\(165\) 6.96072 + 15.6186i 0.541891 + 1.21591i
\(166\) −5.61830 21.1295i −0.436065 1.63997i
\(167\) −5.76658 3.32934i −0.446232 0.257632i 0.260006 0.965607i \(-0.416276\pi\)
−0.706237 + 0.707975i \(0.749609\pi\)
\(168\) −2.05762 + 2.80028i −0.158749 + 0.216046i
\(169\) 11.0082 6.35559i 0.846786 0.488892i
\(170\) −15.9433 16.0045i −1.22280 1.22749i
\(171\) 0.420413 + 7.91120i 0.0321498 + 0.604985i
\(172\) −12.5839 12.6807i −0.959516 0.966892i
\(173\) 8.52795 + 2.28506i 0.648368 + 0.173730i 0.567991 0.823035i \(-0.307721\pi\)
0.0803771 + 0.996765i \(0.474388\pi\)
\(174\) −15.4250 19.1087i −1.16937 1.44863i
\(175\) 0.672015 1.16396i 0.0507995 0.0879874i
\(176\) −14.5561 + 3.78105i −1.09720 + 0.285008i
\(177\) 7.23896 5.86638i 0.544114 0.440944i
\(178\) 2.28900 1.31572i 0.171567 0.0986171i
\(179\) 6.98378 6.98378i 0.521993 0.521993i −0.396180 0.918173i \(-0.629664\pi\)
0.918173 + 0.396180i \(0.129664\pi\)
\(180\) 8.53970 + 13.2396i 0.636511 + 0.986820i
\(181\) −10.1061 10.1061i −0.751179 0.751179i 0.223520 0.974699i \(-0.428245\pi\)
−0.974699 + 0.223520i \(0.928245\pi\)
\(182\) 0.140525 0.520459i 0.0104164 0.0385790i
\(183\) −1.16089 + 0.184301i −0.0858151 + 0.0136240i
\(184\) 13.9394 + 8.15501i 1.02762 + 0.601195i
\(185\) 12.0756 + 6.97184i 0.887815 + 0.512580i
\(186\) 9.59252 4.25308i 0.703358 0.311851i
\(187\) 5.91985 22.0932i 0.432902 1.61561i
\(188\) 11.8180 + 0.0452519i 0.861914 + 0.00330033i
\(189\) 0.770268 + 3.60437i 0.0560288 + 0.262179i
\(190\) 9.80638 + 0.0187746i 0.711430 + 0.00136205i
\(191\) 2.87467 + 4.97907i 0.208004 + 0.360273i 0.951086 0.308928i \(-0.0999701\pi\)
−0.743082 + 0.669200i \(0.766637\pi\)
\(192\) −12.7204 + 5.49478i −0.918012 + 0.396552i
\(193\) −4.45531 + 7.71683i −0.320701 + 0.555470i −0.980633 0.195856i \(-0.937252\pi\)
0.659932 + 0.751325i \(0.270585\pi\)
\(194\) 8.03189 13.8503i 0.576656 0.994396i
\(195\) −1.97789 1.43591i −0.141639 0.102828i
\(196\) −6.45372 11.2777i −0.460980 0.805549i
\(197\) −6.76280 6.76280i −0.481830 0.481830i 0.423886 0.905716i \(-0.360666\pi\)
−0.905716 + 0.423886i \(0.860666\pi\)
\(198\) −7.25859 + 14.2042i −0.515846 + 1.00945i
\(199\) 4.46794i 0.316724i −0.987381 0.158362i \(-0.949379\pi\)
0.987381 0.158362i \(-0.0506213\pi\)
\(200\) 4.65661 2.65295i 0.329272 0.187592i
\(201\) 8.27726 + 10.2139i 0.583833 + 0.720434i
\(202\) 0.442255 0.117595i 0.0311169 0.00827394i
\(203\) −6.86907 + 1.84056i −0.482114 + 0.129182i
\(204\) 2.27538 20.9506i 0.159308 1.46683i
\(205\) −4.59959 1.23246i −0.321249 0.0860785i
\(206\) −0.0441308 + 23.0505i −0.00307474 + 1.60600i
\(207\) 16.2870 5.30515i 1.13203 0.368734i
\(208\) 1.53162 1.50834i 0.106199 0.104585i
\(209\) 4.96439 + 8.59858i 0.343394 + 0.594776i
\(210\) 4.50720 0.706717i 0.311027 0.0487681i
\(211\) 2.42340 + 9.04426i 0.166834 + 0.622633i 0.997799 + 0.0663083i \(0.0211221\pi\)
−0.830965 + 0.556324i \(0.812211\pi\)
\(212\) 23.4162 6.17834i 1.60823 0.424330i
\(213\) −1.77122 3.97430i −0.121362 0.272315i
\(214\) 3.25903 12.0704i 0.222783 0.825115i
\(215\) 23.4548i 1.59960i
\(216\) −4.60650 + 13.9564i −0.313432 + 0.949611i
\(217\) 3.03860i 0.206273i
\(218\) 12.3610 + 3.33751i 0.837195 + 0.226044i
\(219\) −5.18938 11.6441i −0.350666 0.786834i
\(220\) 17.0616 + 9.93782i 1.15029 + 0.670008i
\(221\) 0.846164 + 3.15793i 0.0569192 + 0.212425i
\(222\) 2.01492 + 12.8504i 0.135232 + 0.862466i
\(223\) −5.66067 9.80457i −0.379067 0.656562i 0.611860 0.790966i \(-0.290422\pi\)
−0.990927 + 0.134403i \(0.957088\pi\)
\(224\) −0.0384100 + 4.01236i −0.00256638 + 0.268087i
\(225\) 1.17779 5.56105i 0.0785191 0.370737i
\(226\) 2.78415 + 0.00533034i 0.185199 + 0.000354569i
\(227\) 7.92726 + 2.12410i 0.526151 + 0.140982i 0.512110 0.858920i \(-0.328864\pi\)
0.0140406 + 0.999901i \(0.495531\pi\)
\(228\) 5.73234 + 7.12920i 0.379634 + 0.472143i
\(229\) 14.7077 3.94091i 0.971912 0.260423i 0.262277 0.964993i \(-0.415527\pi\)
0.709635 + 0.704570i \(0.248860\pi\)
\(230\) −5.44847 20.4908i −0.359262 1.35112i
\(231\) 2.90828 + 3.58874i 0.191351 + 0.236122i
\(232\) −27.3478 7.49643i −1.79547 0.492164i
\(233\) 7.40495i 0.485114i −0.970137 0.242557i \(-0.922014\pi\)
0.970137 0.242557i \(-0.0779862\pi\)
\(234\) −0.116635 2.27706i −0.00762466 0.148856i
\(235\) −10.9714 10.9714i −0.715695 0.715695i
\(236\) 2.82441 10.3817i 0.183853 0.675788i
\(237\) −0.0401565 0.0291530i −0.00260845 0.00189369i
\(238\) −5.27911 3.06139i −0.342194 0.198440i
\(239\) −2.17384 + 3.76519i −0.140614 + 0.243550i −0.927728 0.373257i \(-0.878241\pi\)
0.787114 + 0.616807i \(0.211574\pi\)
\(240\) 16.9357 + 6.64312i 1.09320 + 0.428812i
\(241\) −10.5773 18.3203i −0.681341 1.18012i −0.974572 0.224075i \(-0.928064\pi\)
0.293231 0.956042i \(-0.405269\pi\)
\(242\) −0.00849074 + 4.43490i −0.000545805 + 0.285086i
\(243\) 7.81891 + 13.4857i 0.501583 + 0.865109i
\(244\) −0.963397 + 0.956048i −0.0616752 + 0.0612047i
\(245\) −4.41530 + 16.4781i −0.282083 + 1.05275i
\(246\) −1.80048 4.06087i −0.114795 0.258912i
\(247\) −1.22905 0.709595i −0.0782029 0.0451504i
\(248\) 6.11836 10.4581i 0.388516 0.664092i
\(249\) −26.4463 + 4.19859i −1.67596 + 0.266075i
\(250\) 11.1323 + 3.00575i 0.704069 + 0.190100i
\(251\) −9.06294 9.06294i −0.572048 0.572048i 0.360653 0.932700i \(-0.382554\pi\)
−0.932700 + 0.360653i \(0.882554\pi\)
\(252\) 3.15395 + 2.85757i 0.198680 + 0.180010i
\(253\) 15.1798 15.1798i 0.954344 0.954344i
\(254\) −7.08136 12.3197i −0.444324 0.773005i
\(255\) −21.4955 + 17.4197i −1.34610 + 1.09086i
\(256\) −8.21128 + 13.7323i −0.513205 + 0.858266i
\(257\) 5.53555 9.58785i 0.345298 0.598074i −0.640110 0.768283i \(-0.721111\pi\)
0.985408 + 0.170210i \(0.0544445\pi\)
\(258\) −17.0252 + 13.7432i −1.05994 + 0.855611i
\(259\) 3.63836 + 0.974895i 0.226077 + 0.0605770i
\(260\) −2.82224 0.0108066i −0.175028 0.000670195i
\(261\) −25.2125 + 16.3994i −1.56061 + 1.01510i
\(262\) −4.21461 + 4.19850i −0.260380 + 0.259384i
\(263\) −20.4693 + 11.8180i −1.26219 + 0.728726i −0.973498 0.228695i \(-0.926554\pi\)
−0.288693 + 0.957422i \(0.593221\pi\)
\(264\) 2.78351 + 18.2076i 0.171313 + 1.12060i
\(265\) −27.5354 15.8976i −1.69149 0.976580i
\(266\) 2.56011 0.680730i 0.156971 0.0417382i
\(267\) −1.31629 2.95352i −0.0805555 0.180753i
\(268\) 14.6481 + 3.98514i 0.894778 + 0.243431i
\(269\) 9.76907 9.76907i 0.595631 0.595631i −0.343516 0.939147i \(-0.611618\pi\)
0.939147 + 0.343516i \(0.111618\pi\)
\(270\) 17.1996 8.74596i 1.04674 0.532262i
\(271\) −6.14441 −0.373246 −0.186623 0.982432i \(-0.559754\pi\)
−0.186623 + 0.982432i \(0.559754\pi\)
\(272\) −12.0052 21.1663i −0.727922 1.28340i
\(273\) −0.616488 0.236389i −0.0373116 0.0143069i
\(274\) 27.7723 + 16.1053i 1.67778 + 0.972956i
\(275\) −1.84384 6.88130i −0.111188 0.414958i
\(276\) 11.6813 15.9613i 0.703129 0.960759i
\(277\) −5.40336 + 20.1656i −0.324657 + 1.21164i 0.590000 + 0.807403i \(0.299128\pi\)
−0.914656 + 0.404232i \(0.867539\pi\)
\(278\) −10.9158 10.9576i −0.654684 0.657195i
\(279\) −3.98023 12.2195i −0.238290 0.731561i
\(280\) 3.74641 3.70362i 0.223891 0.221334i
\(281\) 9.92135 5.72809i 0.591858 0.341709i −0.173974 0.984750i \(-0.555661\pi\)
0.765832 + 0.643041i \(0.222327\pi\)
\(282\) 1.53525 14.3925i 0.0914227 0.857058i
\(283\) 2.24944 0.602736i 0.133715 0.0358289i −0.191341 0.981524i \(-0.561284\pi\)
0.325056 + 0.945695i \(0.394617\pi\)
\(284\) −4.34148 2.52877i −0.257619 0.150055i
\(285\) 1.25105 11.9450i 0.0741059 0.707561i
\(286\) −1.42400 2.47739i −0.0842031 0.146491i
\(287\) −1.28635 −0.0759308
\(288\) 5.10130 + 16.1857i 0.300597 + 0.953751i
\(289\) 20.0086 1.17698
\(290\) 18.5529 + 32.2771i 1.08946 + 1.89538i
\(291\) −15.8683 11.5201i −0.930214 0.675320i
\(292\) −12.7198 7.40888i −0.744372 0.433572i
\(293\) 17.3162 4.63987i 1.01162 0.271064i 0.285317 0.958433i \(-0.407901\pi\)
0.726308 + 0.687369i \(0.241235\pi\)
\(294\) −14.5482 + 6.45028i −0.848466 + 0.376188i
\(295\) −12.2330 + 7.06273i −0.712233 + 0.411208i
\(296\) 10.5594 + 10.6814i 0.613751 + 0.620842i
\(297\) 16.3963 + 10.6223i 0.951408 + 0.616368i
\(298\) 0.654155 + 0.656664i 0.0378942 + 0.0380395i
\(299\) −0.794183 + 2.96393i −0.0459288 + 0.171409i
\(300\) −2.64895 6.00553i −0.152937 0.346729i
\(301\) 1.63988 + 6.12011i 0.0945210 + 0.352757i
\(302\) 7.04712 + 4.08666i 0.405516 + 0.235161i
\(303\) −0.0878793 0.553538i −0.00504854 0.0317999i
\(304\) 10.1820 + 2.81200i 0.583977 + 0.161279i
\(305\) 1.78195 0.102034
\(306\) −25.2396 5.39606i −1.44285 0.308472i
\(307\) −2.88202 + 2.88202i −0.164486 + 0.164486i −0.784551 0.620065i \(-0.787106\pi\)
0.620065 + 0.784551i \(0.287106\pi\)
\(308\) 5.14674 + 1.40021i 0.293263 + 0.0797843i
\(309\) 28.0774 + 2.94067i 1.59727 + 0.167289i
\(310\) −15.3734 + 4.08776i −0.873150 + 0.232169i
\(311\) −21.4929 12.4089i −1.21875 0.703646i −0.254100 0.967178i \(-0.581779\pi\)
−0.964651 + 0.263532i \(0.915113\pi\)
\(312\) −1.64583 2.05492i −0.0931766 0.116337i
\(313\) −3.81457 + 2.20234i −0.215612 + 0.124484i −0.603917 0.797047i \(-0.706394\pi\)
0.388305 + 0.921531i \(0.373061\pi\)
\(314\) −7.83751 + 7.80756i −0.442296 + 0.440606i
\(315\) −0.296516 5.57975i −0.0167068 0.314383i
\(316\) −0.0572993 0.000219403i −0.00322334 1.23424e-5i
\(317\) 10.0113 + 2.68252i 0.562291 + 0.150665i 0.528759 0.848772i \(-0.322658\pi\)
0.0335323 + 0.999438i \(0.489324\pi\)
\(318\) −4.59452 29.3023i −0.257648 1.64319i
\(319\) −18.8470 + 32.6439i −1.05523 + 1.82771i
\(320\) 20.3517 5.20341i 1.13769 0.290880i
\(321\) −14.2975 5.48229i −0.798008 0.305992i
\(322\) −2.85433 4.96577i −0.159066 0.276732i
\(323\) −11.3598 + 11.3598i −0.632076 + 0.632076i
\(324\) 16.4265 + 7.36014i 0.912581 + 0.408897i
\(325\) 0.720039 + 0.720039i 0.0399406 + 0.0399406i
\(326\) 31.6491 + 8.54533i 1.75288 + 0.473282i
\(327\) 5.61430 14.6418i 0.310471 0.809691i
\(328\) −4.42731 2.59013i −0.244457 0.143016i
\(329\) −3.62987 2.09571i −0.200121 0.115540i
\(330\) 14.2443 19.5419i 0.784125 1.07575i
\(331\) −6.40595 + 23.9073i −0.352103 + 1.31407i 0.531988 + 0.846752i \(0.321445\pi\)
−0.884091 + 0.467314i \(0.845222\pi\)
\(332\) −21.9473 + 21.7798i −1.20451 + 1.19532i
\(333\) 15.9084 0.845394i 0.871773 0.0463273i
\(334\) −0.0180287 + 9.41677i −0.000986485 + 0.515263i
\(335\) −9.96526 17.2603i −0.544461 0.943033i
\(336\) 4.88355 + 0.549315i 0.266419 + 0.0299676i
\(337\) 4.48386 7.76627i 0.244251 0.423056i −0.717670 0.696384i \(-0.754791\pi\)
0.961921 + 0.273328i \(0.0881245\pi\)
\(338\) −15.5507 9.01796i −0.845848 0.490512i
\(339\) 0.355189 3.39133i 0.0192912 0.184192i
\(340\) −8.38683 + 30.8274i −0.454840 + 1.67185i
\(341\) −11.3887 11.3887i −0.616735 0.616735i
\(342\) 9.40361 6.09097i 0.508489 0.329362i
\(343\) 9.57365i 0.516928i
\(344\) −6.67907 + 24.3660i −0.360111 + 1.31372i
\(345\) −25.6468 + 4.07168i −1.38078 + 0.219212i
\(346\) −3.20846 12.0665i −0.172488 0.648699i
\(347\) 10.4118 2.78983i 0.558935 0.149766i 0.0317179 0.999497i \(-0.489902\pi\)
0.527217 + 0.849731i \(0.323236\pi\)
\(348\) −12.5582 + 32.3796i −0.673190 + 1.73573i
\(349\) 22.1889 + 5.94549i 1.18774 + 0.318255i 0.797993 0.602666i \(-0.205895\pi\)
0.389749 + 0.920921i \(0.372562\pi\)
\(350\) −1.90074 0.00363902i −0.101599 0.000194514i
\(351\) −2.78880 0.143086i −0.148855 0.00763737i
\(352\) 14.8945 + 15.1824i 0.793878 + 0.809224i
\(353\) 6.69259 + 11.5919i 0.356211 + 0.616975i 0.987324 0.158715i \(-0.0507352\pi\)
−0.631114 + 0.775690i \(0.717402\pi\)
\(354\) −12.2945 4.74127i −0.653444 0.251996i
\(355\) 1.70725 + 6.37156i 0.0906116 + 0.338167i
\(356\) −3.22639 1.87926i −0.170998 0.0996008i
\(357\) −4.39093 + 6.04825i −0.232393 + 0.320108i
\(358\) −13.4847 3.64090i −0.712688 0.192427i
\(359\) 25.8640i 1.36505i 0.730863 + 0.682525i \(0.239118\pi\)
−0.730863 + 0.682525i \(0.760882\pi\)
\(360\) 10.2146 19.8012i 0.538354 1.04362i
\(361\) 12.0262i 0.632960i
\(362\) −5.26866 + 19.5134i −0.276915 + 1.02560i
\(363\) 5.40208 + 0.565784i 0.283536 + 0.0296959i
\(364\) −0.737170 + 0.194502i −0.0386382 + 0.0101947i
\(365\) 5.00198 + 18.6677i 0.261816 + 0.977110i
\(366\) 1.04412 + 1.29347i 0.0545769 + 0.0676107i
\(367\) −7.91603 13.7110i −0.413213 0.715707i 0.582026 0.813170i \(-0.302260\pi\)
−0.995239 + 0.0974639i \(0.968927\pi\)
\(368\) 0.174902 22.8384i 0.00911739 1.19053i
\(369\) −5.17295 + 1.68498i −0.269293 + 0.0877165i
\(370\) 0.0377532 19.7193i 0.00196269 1.02516i
\(371\) −8.29638 2.22301i −0.430726 0.115413i
\(372\) −11.9751 8.76396i −0.620881 0.454390i
\(373\) 3.74735 1.00410i 0.194030 0.0519902i −0.160495 0.987037i \(-0.551309\pi\)
0.354525 + 0.935046i \(0.384642\pi\)
\(374\) −31.2604 + 8.31209i −1.61644 + 0.429808i
\(375\) 5.05622 13.1863i 0.261102 0.680938i
\(376\) −8.27336 14.5219i −0.426666 0.748908i
\(377\) 5.38786i 0.277489i
\(378\) 3.87645 3.48464i 0.199383 0.179231i
\(379\) 17.2803 + 17.2803i 0.887628 + 0.887628i 0.994295 0.106667i \(-0.0340179\pi\)
−0.106667 + 0.994295i \(0.534018\pi\)
\(380\) −6.88813 12.0368i −0.353354 0.617475i
\(381\) −15.8963 + 7.08444i −0.814390 + 0.362947i
\(382\) 4.07887 7.03367i 0.208693 0.359874i
\(383\) 4.26860 7.39343i 0.218115 0.377787i −0.736117 0.676855i \(-0.763342\pi\)
0.954232 + 0.299068i \(0.0966758\pi\)
\(384\) 15.7019 + 11.7239i 0.801286 + 0.598281i
\(385\) −3.50137 6.06455i −0.178446 0.309078i
\(386\) 12.6015 + 0.0241259i 0.641400 + 0.00122798i
\(387\) 14.6113 + 22.4635i 0.742736 + 1.14188i
\(388\) −22.6424 0.0866994i −1.14949 0.00440149i
\(389\) 8.03854 30.0002i 0.407570 1.52107i −0.391696 0.920095i \(-0.628111\pi\)
0.799266 0.600977i \(-0.205222\pi\)
\(390\) −0.366632 + 3.43706i −0.0185651 + 0.174042i
\(391\) 30.0815 + 17.3676i 1.52129 + 0.878316i
\(392\) −9.27920 + 15.8610i −0.468670 + 0.801099i
\(393\) 4.58729 + 5.66060i 0.231398 + 0.285539i
\(394\) −3.52569 + 13.0580i −0.177622 + 0.657853i
\(395\) 0.0531947 + 0.0531947i 0.00267651 + 0.00267651i
\(396\) 22.5313 1.11085i 1.13224 0.0558222i
\(397\) 16.6870 16.6870i 0.837495 0.837495i −0.151033 0.988529i \(-0.548260\pi\)
0.988529 + 0.151033i \(0.0482601\pi\)
\(398\) −5.47813 + 3.14883i −0.274594 + 0.157837i
\(399\) −0.508714 3.20430i −0.0254675 0.160416i
\(400\) −6.53457 3.83976i −0.326729 0.191988i
\(401\) 8.76727 15.1854i 0.437817 0.758321i −0.559704 0.828693i \(-0.689085\pi\)
0.997521 + 0.0703717i \(0.0224185\pi\)
\(402\) 6.68976 17.3471i 0.333655 0.865194i
\(403\) 2.22371 + 0.595842i 0.110771 + 0.0296810i
\(404\) −0.455866 0.459371i −0.0226802 0.0228545i
\(405\) −8.50128 22.0501i −0.422432 1.09568i
\(406\) 7.09775 + 7.12498i 0.352256 + 0.353607i
\(407\) 17.2906 9.98273i 0.857063 0.494826i
\(408\) −27.2910 + 11.9753i −1.35111 + 0.592866i
\(409\) −0.805810 0.465235i −0.0398447 0.0230044i 0.479945 0.877298i \(-0.340656\pi\)
−0.519790 + 0.854294i \(0.673990\pi\)
\(410\) 1.73050 + 6.50813i 0.0854633 + 0.321413i
\(411\) 23.0997 31.8185i 1.13943 1.56949i
\(412\) 28.2932 16.1910i 1.39391 0.797672i
\(413\) −2.69818 + 2.69818i −0.132769 + 0.132769i
\(414\) −17.9831 16.2306i −0.883820 0.797690i
\(415\) 40.5947 1.99272
\(416\) −2.92880 0.814898i −0.143596 0.0399537i
\(417\) −14.7171 + 11.9266i −0.720698 + 0.584047i
\(418\) 7.04398 12.1468i 0.344532 0.594118i
\(419\) −4.12510 15.3951i −0.201525 0.752100i −0.990481 0.137651i \(-0.956045\pi\)
0.788956 0.614449i \(-0.210622\pi\)
\(420\) −4.04300 5.02820i −0.197278 0.245351i
\(421\) −2.10519 + 7.85668i −0.102601 + 0.382911i −0.998062 0.0622284i \(-0.980179\pi\)
0.895461 + 0.445140i \(0.146846\pi\)
\(422\) 9.38122 9.34537i 0.456671 0.454925i
\(423\) −17.3424 3.67298i −0.843216 0.178586i
\(424\) −24.0780 24.3562i −1.16933 1.18284i
\(425\) 9.98266 5.76349i 0.484230 0.279570i
\(426\) −3.62460 + 4.97262i −0.175612 + 0.240924i
\(427\) 0.464967 0.124588i 0.0225013 0.00602922i
\(428\) −17.0963 + 4.51085i −0.826381 + 0.218040i
\(429\) −3.19661 + 1.42462i −0.154334 + 0.0687815i
\(430\) 28.7578 16.5300i 1.38683 0.797148i
\(431\) −10.8262 −0.521480 −0.260740 0.965409i \(-0.583966\pi\)
−0.260740 + 0.965409i \(0.583966\pi\)
\(432\) 20.3583 4.18789i 0.979491 0.201490i
\(433\) 20.5356 0.986879 0.493440 0.869780i \(-0.335739\pi\)
0.493440 + 0.869780i \(0.335739\pi\)
\(434\) −3.72561 + 2.14148i −0.178835 + 0.102794i
\(435\) 41.6476 18.5610i 1.99685 0.889930i
\(436\) −4.61947 17.5080i −0.221232 0.838479i
\(437\) −14.5645 + 3.90254i −0.696714 + 0.186684i
\(438\) −10.6195 + 14.5690i −0.507419 + 0.696133i
\(439\) 24.8927 14.3718i 1.18806 0.685928i 0.230196 0.973144i \(-0.426063\pi\)
0.957866 + 0.287216i \(0.0927298\pi\)
\(440\) 0.160379 27.9229i 0.00764579 1.33117i
\(441\) 6.03648 + 18.5322i 0.287451 + 0.882487i
\(442\) 3.27558 3.26306i 0.155803 0.155208i
\(443\) 3.34900 12.4986i 0.159116 0.593827i −0.839602 0.543202i \(-0.817212\pi\)
0.998718 0.0506256i \(-0.0161215\pi\)
\(444\) 14.3359 11.5270i 0.680350 0.547046i
\(445\) 1.26875 + 4.73506i 0.0601447 + 0.224463i
\(446\) −8.03193 + 13.8504i −0.380323 + 0.655836i
\(447\) 0.881958 0.714730i 0.0417152 0.0338056i
\(448\) 4.94661 2.78066i 0.233705 0.131374i
\(449\) −30.1067 −1.42082 −0.710412 0.703786i \(-0.751491\pi\)
−0.710412 + 0.703786i \(0.751491\pi\)
\(450\) −7.64844 + 2.47513i −0.360551 + 0.116679i
\(451\) −4.82127 + 4.82127i −0.227025 + 0.227025i
\(452\) −1.95563 3.41740i −0.0919849 0.160741i
\(453\) 5.86148 8.07385i 0.275396 0.379342i
\(454\) −2.98247 11.2166i −0.139974 0.526420i
\(455\) 0.866848 + 0.500475i 0.0406385 + 0.0234626i
\(456\) 4.70115 12.0528i 0.220152 0.564423i
\(457\) 2.00099 1.15527i 0.0936026 0.0540415i −0.452468 0.891781i \(-0.649456\pi\)
0.546071 + 0.837739i \(0.316123\pi\)
\(458\) −15.1973 15.2556i −0.710125 0.712850i
\(459\) −9.73523 + 30.0742i −0.454402 + 1.40374i
\(460\) −21.2838 + 21.1215i −0.992364 + 0.984794i
\(461\) −16.9043 4.52950i −0.787313 0.210960i −0.157307 0.987550i \(-0.550281\pi\)
−0.630007 + 0.776590i \(0.716948\pi\)
\(462\) 2.35050 6.09503i 0.109355 0.283566i
\(463\) 10.2591 17.7694i 0.476783 0.825812i −0.522863 0.852417i \(-0.675136\pi\)
0.999646 + 0.0266044i \(0.00846944\pi\)
\(464\) 10.0823 + 38.8142i 0.468059 + 1.80190i
\(465\) 3.05481 + 19.2417i 0.141663 + 0.892315i
\(466\) −9.07918 + 5.21872i −0.420585 + 0.241752i
\(467\) 6.49068 6.49068i 0.300353 0.300353i −0.540799 0.841152i \(-0.681878\pi\)
0.841152 + 0.540799i \(0.181878\pi\)
\(468\) −2.70969 + 1.74779i −0.125256 + 0.0807915i
\(469\) −3.80704 3.80704i −0.175793 0.175793i
\(470\) −5.71978 + 21.1842i −0.263834 + 0.977155i
\(471\) 8.53055 + 10.5265i 0.393067 + 0.485034i
\(472\) −14.7194 + 3.85359i −0.677517 + 0.177376i
\(473\) 29.0847 + 16.7920i 1.33731 + 0.772099i
\(474\) −0.00744363 + 0.0697816i −0.000341897 + 0.00320518i
\(475\) −1.29507 + 4.83327i −0.0594220 + 0.221766i
\(476\) −0.0330458 + 8.63025i −0.00151465 + 0.395567i
\(477\) −36.2751 + 1.92771i −1.66092 + 0.0882639i
\(478\) 6.14853 + 0.0117715i 0.281227 + 0.000538417i
\(479\) 10.0990 + 17.4920i 0.461436 + 0.799231i 0.999033 0.0439712i \(-0.0140010\pi\)
−0.537597 + 0.843202i \(0.680668\pi\)
\(480\) −3.79054 25.4467i −0.173014 1.16148i
\(481\) −1.42690 + 2.47146i −0.0650610 + 0.112689i
\(482\) −15.0081 + 25.8802i −0.683599 + 1.17881i
\(483\) −6.40741 + 2.85557i −0.291547 + 0.129933i
\(484\) 5.44360 3.11513i 0.247436 0.141597i
\(485\) 21.0204 + 21.0204i 0.954489 + 0.954489i
\(486\) 11.0243 19.0909i 0.500074 0.865983i
\(487\) 1.65695i 0.0750836i 0.999295 + 0.0375418i \(0.0119527\pi\)
−0.999295 + 0.0375418i \(0.988047\pi\)
\(488\) 1.85117 + 0.507433i 0.0837986 + 0.0229704i
\(489\) 14.3748 37.4887i 0.650052 1.69530i
\(490\) 23.3155 6.19956i 1.05329 0.280067i
\(491\) −28.4580 + 7.62529i −1.28429 + 0.344124i −0.835489 0.549507i \(-0.814815\pi\)
−0.448801 + 0.893632i \(0.648149\pi\)
\(492\) −3.71011 + 5.06951i −0.167264 + 0.228551i
\(493\) −58.9121 15.7855i −2.65327 0.710941i
\(494\) −0.00384252 + 2.00703i −0.000172883 + 0.0903007i
\(495\) −22.0244 19.8017i −0.989923 0.890020i
\(496\) −17.1347 0.131222i −0.769369 0.00589202i
\(497\) 0.890955 + 1.54318i 0.0399648 + 0.0692211i
\(498\) 23.7862 + 29.4667i 1.06588 + 1.32043i
\(499\) −4.88431 18.2285i −0.218652 0.816019i −0.984849 0.173414i \(-0.944520\pi\)
0.766197 0.642605i \(-0.222147\pi\)
\(500\) −4.16028 15.7676i −0.186053 0.705149i
\(501\) 11.4704 + 1.20135i 0.512461 + 0.0536723i
\(502\) −4.72483 + 17.4992i −0.210880 + 0.781029i
\(503\) 36.2450i 1.61609i −0.589124 0.808043i \(-0.700527\pi\)
0.589124 0.808043i \(-0.299473\pi\)
\(504\) 1.28087 5.88094i 0.0570546 0.261958i
\(505\) 0.849675i 0.0378100i
\(506\) −29.3100 7.91376i −1.30299 0.351809i
\(507\) −12.9344 + 17.8164i −0.574437 + 0.791254i
\(508\) −10.1145 + 17.3649i −0.448756 + 0.770441i
\(509\) 2.18916 + 8.17006i 0.0970329 + 0.362132i 0.997320 0.0731652i \(-0.0233101\pi\)
−0.900287 + 0.435297i \(0.856643\pi\)
\(510\) 36.5074 + 14.0788i 1.61658 + 0.623419i
\(511\) 2.61036 + 4.52127i 0.115475 + 0.200009i
\(512\) 22.6241 + 0.389868i 0.999852 + 0.0172299i
\(513\) −6.24305 12.2195i −0.275637 0.539504i
\(514\) −15.6569 0.0299755i −0.690595 0.00132216i
\(515\) −41.3400 11.0770i −1.82166 0.488112i
\(516\) 28.8491 + 11.1889i 1.27001 + 0.492565i
\(517\) −21.4596 + 5.75009i −0.943794 + 0.252889i
\(518\) −1.36886 5.14804i −0.0601441 0.226192i
\(519\) −15.1028 + 2.39771i −0.662937 + 0.105248i
\(520\) 1.97576 + 3.46796i 0.0866427 + 0.152080i
\(521\) 9.73918i 0.426681i −0.976978 0.213341i \(-0.931566\pi\)
0.976978 0.213341i \(-0.0684344\pi\)
\(522\) 37.8760 + 19.3553i 1.65779 + 0.847157i
\(523\) 4.68648 + 4.68648i 0.204925 + 0.204925i 0.802106 0.597181i \(-0.203713\pi\)
−0.597181 + 0.802106i \(0.703713\pi\)
\(524\) 8.11806 + 2.20858i 0.354639 + 0.0964822i
\(525\) −0.242488 + 2.31526i −0.0105830 + 0.101046i
\(526\) 28.9159 + 16.7685i 1.26079 + 0.731142i
\(527\) 13.0302 22.5689i 0.567603 0.983117i
\(528\) 20.3625 16.2448i 0.886164 0.706965i
\(529\) 4.80066 + 8.31498i 0.208724 + 0.361521i
\(530\) −0.0860868 + 44.9650i −0.00373937 + 1.95316i
\(531\) −7.31620 + 14.3849i −0.317496 + 0.624250i
\(532\) −2.63891 2.65919i −0.114411 0.115291i
\(533\) 0.252242 0.941380i 0.0109258 0.0407757i
\(534\) −2.69364 + 3.69542i −0.116565 + 0.159917i
\(535\) 20.1038 + 11.6069i 0.869162 + 0.501811i
\(536\) −5.43728 20.7686i −0.234855 0.897067i
\(537\) −6.12465 + 15.9727i −0.264298 + 0.689274i
\(538\) −18.8627 5.09297i −0.813228 0.219573i
\(539\) 17.2723 + 17.2723i 0.743972 + 0.743972i
\(540\) −22.8450 14.9246i −0.983093 0.642253i
\(541\) 0.808981 0.808981i 0.0347808 0.0347808i −0.689503 0.724283i \(-0.742171\pi\)
0.724283 + 0.689503i \(0.242171\pi\)
\(542\) 4.33034 + 7.53364i 0.186004 + 0.323598i
\(543\) 23.1138 + 8.86285i 0.991907 + 0.380341i
\(544\) −17.4912 + 29.6367i −0.749927 + 1.27066i
\(545\) −11.8864 + 20.5879i −0.509158 + 0.881887i
\(546\) 0.144641 + 0.922472i 0.00619007 + 0.0394782i
\(547\) 14.0859 + 3.77431i 0.602271 + 0.161378i 0.547055 0.837096i \(-0.315749\pi\)
0.0552156 + 0.998474i \(0.482415\pi\)
\(548\) 0.173847 45.4018i 0.00742637 1.93947i
\(549\) 1.70663 1.11008i 0.0728373 0.0473769i
\(550\) −7.13767 + 7.11039i −0.304351 + 0.303188i
\(551\) 22.9284 13.2377i 0.976782 0.563945i
\(552\) −27.8026 3.07343i −1.18336 0.130814i
\(553\) 0.0175994 + 0.0101610i 0.000748402 + 0.000432090i
\(554\) 28.5331 7.58690i 1.21225 0.322336i
\(555\) −24.0198 2.51570i −1.01958 0.106785i
\(556\) −5.74212 + 21.1063i −0.243520 + 0.895106i
\(557\) 1.20401 1.20401i 0.0510155 0.0510155i −0.681139 0.732154i \(-0.738515\pi\)
0.732154 + 0.681139i \(0.238515\pi\)
\(558\) −12.1771 + 13.4920i −0.515499 + 0.571160i
\(559\) −4.80040 −0.203035
\(560\) −7.18133 1.98330i −0.303466 0.0838096i
\(561\) 6.21168 + 39.1264i 0.262257 + 1.65192i
\(562\) −14.0154 8.12759i −0.591203 0.342842i
\(563\) 9.78876 + 36.5322i 0.412547 + 1.53965i 0.789698 + 0.613496i \(0.210237\pi\)
−0.377151 + 0.926152i \(0.623096\pi\)
\(564\) −18.7285 + 8.26088i −0.788613 + 0.347846i
\(565\) −1.33794 + 4.99325i −0.0562875 + 0.210068i
\(566\) −2.32433 2.33325i −0.0976989 0.0980737i
\(567\) −3.75993 5.15920i −0.157902 0.216666i
\(568\) −0.0408100 + 7.10524i −0.00171235 + 0.298129i
\(569\) −6.58015 + 3.79905i −0.275854 + 0.159265i −0.631545 0.775339i \(-0.717579\pi\)
0.355691 + 0.934604i \(0.384246\pi\)
\(570\) −15.5274 + 6.88446i −0.650372 + 0.288358i
\(571\) 1.00586 0.269518i 0.0420938 0.0112790i −0.237711 0.971336i \(-0.576397\pi\)
0.279804 + 0.960057i \(0.409730\pi\)
\(572\) −2.03393 + 3.49193i −0.0850431 + 0.146005i
\(573\) −8.05844 5.85030i −0.336646 0.244400i
\(574\) 0.906569 + 1.57719i 0.0378395 + 0.0658306i
\(575\) 10.8189 0.451178
\(576\) 16.2500 17.6617i 0.677085 0.735905i
\(577\) 36.5164 1.52020 0.760099 0.649807i \(-0.225150\pi\)
0.760099 + 0.649807i \(0.225150\pi\)
\(578\) −14.1013 24.5325i −0.586537 1.02042i
\(579\) 1.60764 15.3497i 0.0668113 0.637912i
\(580\) 26.4995 45.4953i 1.10033 1.88909i
\(581\) 10.5925 2.83825i 0.439450 0.117750i
\(582\) −2.94143 + 27.5749i −0.121926 + 1.14302i
\(583\) −39.4269 + 22.7632i −1.63290 + 0.942754i
\(584\) −0.119567 + 20.8172i −0.00494771 + 0.861423i
\(585\) 4.14153 + 0.877143i 0.171231 + 0.0362654i
\(586\) −17.8927 17.9614i −0.739142 0.741977i
\(587\) −3.06671 + 11.4451i −0.126577 + 0.472391i −0.999891 0.0147665i \(-0.995300\pi\)
0.873314 + 0.487157i \(0.161966\pi\)
\(588\) 18.1616 + 13.2915i 0.748973 + 0.548134i
\(589\) 2.92791 + 10.9271i 0.120643 + 0.450244i
\(590\) 17.2809 + 10.0213i 0.711445 + 0.412571i
\(591\) 15.4673 + 5.93086i 0.636240 + 0.243963i
\(592\) 5.65456 20.4746i 0.232401 0.841501i
\(593\) 1.44299 0.0592563 0.0296282 0.999561i \(-0.490568\pi\)
0.0296282 + 0.999561i \(0.490568\pi\)
\(594\) 1.46851 27.5896i 0.0602538 1.13201i
\(595\) 8.01202 8.01202i 0.328461 0.328461i
\(596\) 0.344111 1.26485i 0.0140953 0.0518102i
\(597\) 3.15020 + 7.06851i 0.128929 + 0.289295i
\(598\) 4.19378 1.11512i 0.171496 0.0456005i
\(599\) −7.69747 4.44414i −0.314510 0.181583i 0.334433 0.942420i \(-0.391455\pi\)
−0.648943 + 0.760837i \(0.724789\pi\)
\(600\) −5.49648 + 7.48033i −0.224393 + 0.305383i
\(601\) 31.4648 18.1662i 1.28347 0.741015i 0.305993 0.952034i \(-0.401012\pi\)
0.977482 + 0.211019i \(0.0676782\pi\)
\(602\) 6.34812 6.32386i 0.258730 0.257741i
\(603\) −20.2965 10.3229i −0.826539 0.420381i
\(604\) 0.0441131 11.5206i 0.00179493 0.468765i
\(605\) −7.95379 2.13121i −0.323368 0.0866461i
\(606\) −0.616757 + 0.497860i −0.0250540 + 0.0202242i
\(607\) −20.4864 + 35.4835i −0.831518 + 1.44023i 0.0653163 + 0.997865i \(0.479194\pi\)
−0.896834 + 0.442367i \(0.854139\pi\)
\(608\) −3.72808 14.4659i −0.151194 0.586669i
\(609\) 9.56948 7.75501i 0.387775 0.314249i
\(610\) −1.25585 2.18484i −0.0508477 0.0884615i
\(611\) 2.24547 2.24547i 0.0908421 0.0908421i
\(612\) 11.1718 + 34.7491i 0.451593 + 1.40465i
\(613\) −33.5771 33.5771i −1.35616 1.35616i −0.878593 0.477572i \(-0.841517\pi\)
−0.477572 0.878593i \(-0.658483\pi\)
\(614\) 5.56477 + 1.50250i 0.224576 + 0.0606360i
\(615\) 8.14574 1.29321i 0.328468 0.0521474i
\(616\) −1.91043 7.29721i −0.0769734 0.294013i
\(617\) −20.8223 12.0218i −0.838276 0.483979i 0.0184019 0.999831i \(-0.494142\pi\)
−0.856678 + 0.515852i \(0.827476\pi\)
\(618\) −16.1823 36.4981i −0.650949 1.46817i
\(619\) −1.85362 + 6.91779i −0.0745031 + 0.278049i −0.993120 0.117100i \(-0.962640\pi\)
0.918617 + 0.395149i \(0.129307\pi\)
\(620\) 15.8466 + 15.9684i 0.636413 + 0.641305i
\(621\) −22.0264 + 19.8765i −0.883889 + 0.797615i
\(622\) −0.0671955 + 35.0977i −0.00269430 + 1.40729i
\(623\) 0.662118 + 1.14682i 0.0265272 + 0.0459464i
\(624\) −1.35962 + 3.46617i −0.0544284 + 0.138758i
\(625\) −15.4419 + 26.7461i −0.617675 + 1.06984i
\(626\) 5.38865 + 3.12491i 0.215374 + 0.124896i
\(627\) −13.9165 10.1031i −0.555771 0.403481i
\(628\) 15.0964 + 4.10708i 0.602412 + 0.163891i
\(629\) 22.8430 + 22.8430i 0.910810 + 0.910810i
\(630\) −6.63234 + 4.29594i −0.264239 + 0.171155i
\(631\) 13.8491i 0.551325i −0.961254 0.275663i \(-0.911103\pi\)
0.961254 0.275663i \(-0.0888973\pi\)
\(632\) 0.0401133 + 0.0704090i 0.00159562 + 0.00280072i
\(633\) −10.2108 12.5998i −0.405841 0.500797i
\(634\) −3.76654 14.1654i −0.149589 0.562578i
\(635\) 25.4847 6.82860i 1.01133 0.270985i
\(636\) −32.6894 + 26.2844i −1.29622 + 1.04224i
\(637\) −3.37252 0.903663i −0.133624 0.0358044i
\(638\) 53.3072 + 0.102058i 2.11045 + 0.00404052i
\(639\) 5.60430 + 5.03872i 0.221703 + 0.199329i
\(640\) −20.7230 21.2860i −0.819147 0.841403i
\(641\) −12.8397 22.2390i −0.507138 0.878389i −0.999966 0.00826230i \(-0.997370\pi\)
0.492828 0.870127i \(-0.335963\pi\)
\(642\) 3.35449 + 21.3938i 0.132391 + 0.844346i
\(643\) −11.6011 43.2961i −0.457504 1.70743i −0.680619 0.732637i \(-0.738289\pi\)
0.223115 0.974792i \(-0.428378\pi\)
\(644\) −4.07690 + 6.99936i −0.160652 + 0.275814i
\(645\) −16.5372 37.1066i −0.651152 1.46107i
\(646\) 21.9341 + 5.92226i 0.862987 + 0.233008i
\(647\) 33.1472i 1.30315i −0.758584 0.651575i \(-0.774108\pi\)
0.758584 0.651575i \(-0.225892\pi\)
\(648\) −2.55247 25.3276i −0.100271 0.994960i
\(649\) 20.2257i 0.793929i
\(650\) 0.375382 1.39029i 0.0147237 0.0545317i
\(651\) 2.14242 + 4.80721i 0.0839679 + 0.188409i
\(652\) −11.8277 44.8273i −0.463207 1.75557i
\(653\) −11.5044 42.9351i −0.450203 1.68018i −0.701821 0.712353i \(-0.747629\pi\)
0.251618 0.967827i \(-0.419037\pi\)
\(654\) −21.9089 + 3.43526i −0.856707 + 0.134329i
\(655\) −5.52279 9.56575i −0.215793 0.373765i
\(656\) −0.0555509 + 7.25373i −0.00216890 + 0.283211i
\(657\) 16.4197 + 14.7626i 0.640594 + 0.575946i
\(658\) −0.0113485 + 5.92755i −0.000442409 + 0.231080i
\(659\) −23.5803 6.31833i −0.918559 0.246127i −0.231590 0.972814i \(-0.574393\pi\)
−0.686970 + 0.726686i \(0.741059\pi\)
\(660\) −33.9991 3.69254i −1.32341 0.143732i
\(661\) −4.15952 + 1.11454i −0.161787 + 0.0433506i −0.338803 0.940857i \(-0.610022\pi\)
0.177017 + 0.984208i \(0.443355\pi\)
\(662\) 33.8274 8.99463i 1.31474 0.349586i
\(663\) −3.56523 4.39939i −0.138462 0.170858i
\(664\) 42.1717 + 11.5599i 1.63658 + 0.448611i
\(665\) 4.91858i 0.190734i
\(666\) −12.2481 18.9094i −0.474605 0.732724i
\(667\) −40.4773 40.4773i −1.56729 1.56729i
\(668\) 11.5586 6.61447i 0.447215 0.255921i
\(669\) 15.8683 + 11.5202i 0.613505 + 0.445395i
\(670\) −14.1397 + 24.3828i −0.546265 + 0.941989i
\(671\) 1.27575 2.20967i 0.0492499 0.0853033i
\(672\) −2.76822 6.37483i −0.106786 0.245915i
\(673\) −5.92537 10.2630i −0.228406 0.395611i 0.728930 0.684589i \(-0.240018\pi\)
−0.957336 + 0.288977i \(0.906685\pi\)
\(674\) −12.6822 0.0242805i −0.488502 0.000935250i
\(675\) 2.05760 + 9.62828i 0.0791971 + 0.370593i
\(676\) −0.0973434 + 25.4222i −0.00374398 + 0.977777i
\(677\) −7.27808 + 27.1622i −0.279719 + 1.04393i 0.672893 + 0.739740i \(0.265051\pi\)
−0.952612 + 0.304187i \(0.901615\pi\)
\(678\) −4.40843 + 1.95458i −0.169305 + 0.0750653i
\(679\) 6.95459 + 4.01523i 0.266892 + 0.154090i
\(680\) 43.7081 11.4429i 1.67613 0.438815i
\(681\) −14.0390 + 2.22882i −0.537974 + 0.0854085i
\(682\) −5.93736 + 21.9900i −0.227353 + 0.842042i
\(683\) 21.9509 + 21.9509i 0.839928 + 0.839928i 0.988849 0.148921i \(-0.0475801\pi\)
−0.148921 + 0.988849i \(0.547580\pi\)
\(684\) −14.0954 7.23705i −0.538952 0.276716i
\(685\) −42.1495 + 42.1495i −1.61045 + 1.61045i
\(686\) 11.7382 6.74713i 0.448167 0.257607i
\(687\) −20.4897 + 16.6046i −0.781730 + 0.633506i
\(688\) 34.5822 8.98299i 1.31843 0.342473i
\(689\) 3.25369 5.63556i 0.123956 0.214698i
\(690\) 23.0672 + 28.5759i 0.878152 + 1.08787i
\(691\) −7.24099 1.94022i −0.275460 0.0738094i 0.118444 0.992961i \(-0.462209\pi\)
−0.393905 + 0.919151i \(0.628876\pi\)
\(692\) −12.5335 + 12.4379i −0.476452 + 0.472817i
\(693\) −7.13134 3.62703i −0.270897 0.137779i
\(694\) −10.7584 10.7997i −0.408385 0.409951i
\(695\) 24.8702 14.3588i 0.943379 0.544660i
\(696\) 48.5510 7.42230i 1.84032 0.281342i
\(697\) −9.55425 5.51615i −0.361893 0.208939i
\(698\) −8.34810 31.3958i −0.315980 1.18835i
\(699\) 5.22099 + 11.7150i 0.197476 + 0.443102i
\(700\) 1.33511 + 2.33306i 0.0504622 + 0.0881812i
\(701\) 10.7494 10.7494i 0.405998 0.405998i −0.474342 0.880341i \(-0.657314\pi\)
0.880341 + 0.474342i \(0.157314\pi\)
\(702\) 1.79000 + 3.52018i 0.0675593 + 0.132861i
\(703\) −14.0233 −0.528899
\(704\) 8.11804 28.9620i 0.305960 1.09155i
\(705\) 25.0929 + 9.62172i 0.945052 + 0.362375i
\(706\) 9.49612 16.3753i 0.357391 0.616292i
\(707\) 0.0594063 + 0.221707i 0.00223421 + 0.00833817i
\(708\) 2.85142 + 18.4157i 0.107163 + 0.692104i
\(709\) 10.0897 37.6553i 0.378927 1.41418i −0.468594 0.883414i \(-0.655239\pi\)
0.847521 0.530762i \(-0.178094\pi\)
\(710\) 6.60894 6.58368i 0.248029 0.247081i
\(711\) 0.0840844 + 0.0178084i 0.00315341 + 0.000667867i
\(712\) −0.0303281 + 5.28030i −0.00113659 + 0.197887i
\(713\) 21.1825 12.2297i 0.793289 0.458006i
\(714\) 10.5103 + 1.12114i 0.393338 + 0.0419575i
\(715\) 5.12477 1.37318i 0.191655 0.0513539i
\(716\) 5.03939 + 19.0995i 0.188331 + 0.713781i
\(717\) 0.784400 7.48942i 0.0292940 0.279698i
\(718\) 31.7117 18.2279i 1.18347 0.680260i
\(719\) 5.68975 0.212192 0.106096 0.994356i \(-0.466165\pi\)
0.106096 + 0.994356i \(0.466165\pi\)
\(720\) −31.4770 + 1.43109i −1.17308 + 0.0533337i
\(721\) −11.5614 −0.430569
\(722\) 14.7453 8.47562i 0.548764 0.315430i
\(723\) 29.6508 + 21.5260i 1.10273 + 0.800561i
\(724\) 27.6384 7.29239i 1.02717 0.271019i
\(725\) −18.3492 + 4.91665i −0.681472 + 0.182600i
\(726\) −3.11347 7.02222i −0.115552 0.260619i
\(727\) 26.4441 15.2675i 0.980759 0.566241i 0.0782595 0.996933i \(-0.475064\pi\)
0.902499 + 0.430692i \(0.141730\pi\)
\(728\) 0.758006 + 0.766764i 0.0280936 + 0.0284182i
\(729\) −21.8782 15.8222i −0.810305 0.586008i
\(730\) 19.3631 19.2891i 0.716662 0.713923i
\(731\) −14.0643 + 52.4887i −0.520187 + 1.94137i
\(732\) 0.850064 2.19177i 0.0314193 0.0810103i
\(733\) 1.12446 + 4.19653i 0.0415327 + 0.155002i 0.983578 0.180483i \(-0.0577662\pi\)
−0.942045 + 0.335486i \(0.891100\pi\)
\(734\) −11.2321 + 19.3688i −0.414583 + 0.714914i
\(735\) −4.63297 29.1823i −0.170890 1.07641i
\(736\) −28.1253 + 15.8811i −1.03671 + 0.585386i
\(737\) −28.5378 −1.05120
\(738\) 5.71164 + 5.15503i 0.210248 + 0.189759i
\(739\) 8.41621 8.41621i 0.309595 0.309595i −0.535157 0.844752i \(-0.679748\pi\)
0.844752 + 0.535157i \(0.179748\pi\)
\(740\) −24.2044 + 13.8511i −0.889771 + 0.509177i
\(741\) 2.44474 + 0.256048i 0.0898097 + 0.00940616i
\(742\) 3.12134 + 11.7388i 0.114588 + 0.430947i
\(743\) 19.8348 + 11.4516i 0.727669 + 0.420120i 0.817569 0.575831i \(-0.195321\pi\)
−0.0899001 + 0.995951i \(0.528655\pi\)
\(744\) −2.30586 + 20.8591i −0.0845371 + 0.764733i
\(745\) −1.49041 + 0.860487i −0.0546043 + 0.0315258i
\(746\) −3.87210 3.88696i −0.141768 0.142312i
\(747\) 38.8790 25.2888i 1.42251 0.925268i
\(748\) 32.2225 + 32.4703i 1.17817 + 1.18723i
\(749\) 6.05724 + 1.62303i 0.221327 + 0.0593043i
\(750\) −19.7311 + 3.09379i −0.720479 + 0.112969i
\(751\) −9.44386 + 16.3572i −0.344611 + 0.596885i −0.985283 0.170930i \(-0.945323\pi\)
0.640672 + 0.767815i \(0.278656\pi\)
\(752\) −11.9745 + 20.3784i −0.436664 + 0.743123i
\(753\) 20.7280 + 7.94803i 0.755370 + 0.289642i
\(754\) −6.60603 + 3.79715i −0.240578 + 0.138284i
\(755\) −10.6953 + 10.6953i −0.389242 + 0.389242i
\(756\) −7.00448 2.29706i −0.254750 0.0835434i
\(757\) 25.7838 + 25.7838i 0.937129 + 0.937129i 0.998137 0.0610085i \(-0.0194317\pi\)
−0.0610085 + 0.998137i \(0.519432\pi\)
\(758\) 9.00882 33.3657i 0.327215 1.21190i
\(759\) −13.3124 + 34.7179i −0.483209 + 1.26018i
\(760\) −9.90379 + 16.9286i −0.359248 + 0.614064i
\(761\) −8.41595 4.85895i −0.305078 0.176137i 0.339644 0.940554i \(-0.389693\pi\)
−0.644722 + 0.764417i \(0.723027\pi\)
\(762\) 19.8893 + 14.4975i 0.720512 + 0.525189i
\(763\) −1.66211 + 6.20309i −0.0601726 + 0.224567i
\(764\) −11.4986 0.0440289i −0.416004 0.00159291i
\(765\) 21.7248 42.7146i 0.785463 1.54435i
\(766\) −12.0734 0.0231149i −0.436230 0.000835174i
\(767\) −1.44550 2.50368i −0.0521940 0.0904027i
\(768\) 3.30849 27.5146i 0.119385 0.992848i
\(769\) 7.20194 12.4741i 0.259709 0.449828i −0.706455 0.707758i \(-0.749707\pi\)
0.966164 + 0.257929i \(0.0830402\pi\)
\(770\) −4.96810 + 8.56708i −0.179038 + 0.308736i
\(771\) −1.99743 + 19.0714i −0.0719357 + 0.686839i
\(772\) −8.85147 15.4677i −0.318571 0.556693i