Properties

Label 144.2.x.e.61.8
Level $144$
Weight $2$
Character 144.61
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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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 61.8
Character \(\chi\) \(=\) 144.61
Dual form 144.2.x.e.85.8

$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{2}{3}\right)\) \(1\)

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 0.776648 0.629934i \(-0.216918\pi\)
0.357630 + 0.933863i \(0.383585\pi\)
\(6\) 1.97945 1.44284i 0.808106 0.589037i
\(7\) 0.614293 + 0.354662i 0.232181 + 0.134050i 0.611578 0.791184i \(-0.290535\pi\)
−0.379397 + 0.925234i \(0.623868\pi\)
\(8\) 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 0.942478 + 0.334267i \(0.108489\pi\)
−0.649077 + 0.760723i \(0.724845\pi\)
\(12\) 0.374026 + 3.44385i 0.107972 + 0.994154i
\(13\) 0.139092 0.519100i 0.0385773 0.143972i −0.943951 0.330085i \(-0.892922\pi\)
0.982528 + 0.186113i \(0.0595891\pi\)
\(14\) −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 0.459688 0.888080i \(-0.347961\pi\)
−0.888080 + 0.459688i \(0.847961\pi\)
\(20\) −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 0.113772 0.993507i \(-0.463707\pi\)
0.917288 + 0.398224i \(0.130373\pi\)
\(24\) −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 −0.993705 0.112026i \(-0.964266\pi\)
−0.804561 + 0.593870i \(0.797599\pi\)
\(30\) 6.00108 2.31427i 1.09564 0.422526i
\(31\) 2.14190 + 3.70987i 0.384696 + 0.666313i 0.991727 0.128365i \(-0.0409730\pi\)
−0.607031 + 0.794678i \(0.707640\pi\)
\(32\) −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 −0.327533 0.944840i \(-0.606217\pi\)
0.944840 + 0.327533i \(0.106217\pi\)
\(38\) 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 −0.617599 0.786493i \(-0.711894\pi\)
0.372324 + 0.928103i \(0.378561\pi\)
\(42\) 1.72768 0.184292i 0.266587 0.0284369i
\(43\) −2.31189 8.62809i −0.352560 1.31577i −0.883528 0.468379i \(-0.844838\pi\)
0.530968 0.847392i \(-0.321828\pi\)
\(44\) 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 −0.996956 0.0779629i \(-0.975158\pi\)
0.565996 + 0.824408i \(0.308492\pi\)
\(48\) 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 −0.195380 + 0.980728i \(0.562594\pi\)
−0.980728 + 0.195380i \(0.937406\pi\)
\(54\) 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 −0.0958118 0.995399i \(-0.530545\pi\)
−0.580675 + 0.814135i \(0.697211\pi\)
\(60\) −1.39181 + 8.98891i −0.179682 + 1.16046i
\(61\) 0.655507 0.175643i 0.0839291 0.0224887i −0.216610 0.976258i \(-0.569500\pi\)
0.300539 + 0.953769i \(0.402833\pi\)
\(62\) −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 0.735826 + 0.677170i \(0.236794\pi\)
−0.975829 + 0.218533i \(0.929873\pi\)
\(68\) −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 \(-0.952373\pi\)
0.988827 0.149067i \(-0.0476271\pi\)
\(72\) 5.70929 + 6.27726i 0.672847 + 0.739782i
\(73\) 7.36013i 0.861437i −0.902486 0.430719i \(-0.858260\pi\)
0.902486 0.430719i \(-0.141740\pi\)
\(74\) 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 −0.865218 0.501395i \(-0.832820\pi\)
0.866830 + 0.498604i \(0.166154\pi\)
\(80\) −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 0.682590 0.730802i \(-0.260854\pi\)
0.956541 + 0.291598i \(0.0941869\pi\)
\(84\) −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 \(-0.968453\pi\)
0.995093 0.0989453i \(-0.0315469\pi\)
\(90\) −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 −0.421317 0.906913i \(-0.638432\pi\)
0.996069 0.0885851i \(-0.0282345\pi\)
\(98\) 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 0.961634 0.274336i \(-0.0884581\pi\)
−0.969967 + 0.243235i \(0.921791\pi\)
\(102\) 12.0419 8.77749i 1.19233 0.869101i
\(103\) −14.1155 + 8.14959i −1.39084 + 0.803003i −0.993408 0.114628i \(-0.963432\pi\)
−0.397434 + 0.917631i \(0.630099\pi\)
\(104\) 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 −0.337123 0.941461i \(-0.609454\pi\)
0.941461 + 0.337123i \(0.109454\pi\)
\(108\) −6.93269 + 7.74195i −0.667098 + 0.744970i
\(109\) −6.40184 6.40184i −0.613185 0.613185i 0.330590 0.943775i \(-0.392752\pi\)
−0.943775 + 0.330590i \(0.892752\pi\)
\(110\) −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 0.816005 0.578045i \(-0.196184\pi\)
−0.908604 + 0.417658i \(0.862851\pi\)
\(114\) −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 −0.997038 0.0769084i \(-0.975495\pi\)
0.901915 + 0.431914i \(0.142162\pi\)
\(132\) −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 −0.961887 0.273447i \(-0.911836\pi\)
−0.717756 0.696295i \(-0.754831\pi\)
\(138\) 5.66882 12.7856i 0.482562 1.08839i
\(139\) 10.5641 + 2.83063i 0.896032 + 0.240091i 0.677311 0.735697i \(-0.263145\pi\)
0.218720 + 0.975788i \(0.429812\pi\)
\(140\) 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 0.232794 0.972526i \(-0.425213\pi\)
−0.284658 + 0.958629i \(0.591880\pi\)
\(150\) 4.61512 0.492296i 0.376823 0.0401958i
\(151\) −4.98859 2.88016i −0.405965 0.234384i 0.283089 0.959094i \(-0.408641\pi\)
−0.689055 + 0.724709i \(0.741974\pi\)
\(152\) −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 0.836869 + 0.547404i \(0.184384\pi\)
−0.998451 + 0.0556311i \(0.982283\pi\)
\(158\) 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 −0.938453 0.345408i \(-0.887741\pi\)
−0.345408 0.938453i \(-0.612259\pi\)
\(164\) 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 −0.706237 0.707975i \(-0.749609\pi\)
0.260006 + 0.965607i \(0.416276\pi\)
\(168\) −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 0.0803771 0.996765i \(-0.474388\pi\)
0.567991 + 0.823035i \(0.307721\pi\)
\(174\) −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 0.918173 0.396180i \(-0.129664\pi\)
−0.396180 + 0.918173i \(0.629664\pi\)
\(180\) 8.53970 13.2396i 0.636511 0.986820i
\(181\) −10.1061 + 10.1061i −0.751179 + 0.751179i −0.974699 0.223520i \(-0.928245\pi\)
0.223520 + 0.974699i \(0.428245\pi\)
\(182\) 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 −0.743082 0.669200i \(-0.766637\pi\)
0.951086 + 0.308928i \(0.0999701\pi\)
\(192\) −12.7204 5.49478i −0.918012 0.396552i
\(193\) −4.45531 7.71683i −0.320701 0.555470i 0.659932 0.751325i \(-0.270585\pi\)
−0.980633 + 0.195856i \(0.937252\pi\)
\(194\) 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 −0.905716 0.423886i \(-0.860666\pi\)
0.423886 + 0.905716i \(0.360666\pi\)
\(198\) −7.25859 14.2042i −0.515846 1.00945i
\(199\) 4.46794i 0.316724i 0.987381 + 0.158362i \(0.0506213\pi\)
−0.987381 + 0.158362i \(0.949379\pi\)
\(200\) 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 −0.830965 0.556324i \(-0.812211\pi\)
0.997799 0.0663083i \(-0.0211221\pi\)
\(212\) 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 −0.990927 0.134403i \(-0.957088\pi\)
0.611860 + 0.790966i \(0.290422\pi\)
\(224\) −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 0.0140406 0.999901i \(-0.495531\pi\)
0.512110 + 0.858920i \(0.328864\pi\)
\(228\) 5.73234 7.12920i 0.379634 0.472143i
\(229\) 14.7077 + 3.94091i 0.971912 + 0.260423i 0.709635 0.704570i \(-0.248860\pi\)
0.262277 + 0.964993i \(0.415527\pi\)
\(230\) −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 \(0.0779862\pi\)
−0.970137 + 0.242557i \(0.922014\pi\)
\(234\) −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 0.787114 0.616807i \(-0.211574\pi\)
−0.927728 + 0.373257i \(0.878241\pi\)
\(240\) 16.9357 6.64312i 1.09320 0.428812i
\(241\) −10.5773 + 18.3203i −0.681341 + 1.18012i 0.293231 + 0.956042i \(0.405269\pi\)
−0.974572 + 0.224075i \(0.928064\pi\)
\(242\) −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 −0.932700 0.360653i \(-0.882554\pi\)
0.360653 + 0.932700i \(0.382554\pi\)
\(252\) 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 0.985408 0.170210i \(-0.0544445\pi\)
−0.640110 + 0.768283i \(0.721111\pi\)
\(258\) −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 −0.288693 0.957422i \(-0.593221\pi\)
−0.973498 + 0.228695i \(0.926554\pi\)
\(264\) 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 0.939147 0.343516i \(-0.111618\pi\)
−0.343516 + 0.939147i \(0.611618\pi\)
\(270\) 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 −0.914656 0.404232i \(-0.867539\pi\)
0.590000 0.807403i \(-0.299128\pi\)
\(278\) −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 0.765832 0.643041i \(-0.222327\pi\)
−0.173974 + 0.984750i \(0.555661\pi\)
\(282\) 1.53525 + 14.3925i 0.0914227 + 0.857058i
\(283\) 2.24944 + 0.602736i 0.133715 + 0.0358289i 0.325056 0.945695i \(-0.394617\pi\)
−0.191341 + 0.981524i \(0.561284\pi\)
\(284\) −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 0.726308 0.687369i \(-0.241235\pi\)
0.285317 + 0.958433i \(0.407901\pi\)
\(294\) −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 0.620065 0.784551i \(-0.287106\pi\)
−0.784551 + 0.620065i \(0.787106\pi\)
\(308\) 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 −0.964651 0.263532i \(-0.915113\pi\)
−0.254100 + 0.967178i \(0.581779\pi\)
\(312\) −1.64583 + 2.05492i −0.0931766 + 0.116337i
\(313\) −3.81457 2.20234i −0.215612 0.124484i 0.388305 0.921531i \(-0.373061\pi\)
−0.603917 + 0.797047i \(0.706394\pi\)
\(314\) −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 0.0335323 0.999438i \(-0.489324\pi\)
0.528759 + 0.848772i \(0.322658\pi\)
\(318\) −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 −0.884091 0.467314i \(-0.845222\pi\)
0.531988 0.846752i \(-0.321445\pi\)
\(332\) −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 0.961921 0.273328i \(-0.0881245\pi\)
−0.717670 + 0.696384i \(0.754791\pi\)
\(338\) −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 0.527217 0.849731i \(-0.323236\pi\)
0.0317179 + 0.999497i \(0.489902\pi\)
\(348\) −12.5582 32.3796i −0.673190 1.73573i
\(349\) 22.1889 5.94549i 1.18774 0.318255i 0.389749 0.920921i \(-0.372562\pi\)
0.797993 + 0.602666i \(0.205895\pi\)
\(350\) −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 −0.631114 0.775690i \(-0.717402\pi\)
0.987324 + 0.158715i \(0.0507352\pi\)
\(354\) −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 \(-0.760882\pi\)
0.730863 0.682525i \(-0.239118\pi\)
\(360\) 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 −0.995239 0.0974639i \(-0.968927\pi\)
0.582026 + 0.813170i \(0.302260\pi\)
\(368\) 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 0.354525 0.935046i \(-0.384642\pi\)
−0.160495 + 0.987037i \(0.551309\pi\)
\(374\) −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 −0.106667 0.994295i \(-0.534018\pi\)
0.994295 + 0.106667i \(0.0340179\pi\)
\(380\) −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 0.954232 0.299068i \(-0.0966758\pi\)
−0.736117 + 0.676855i \(0.763342\pi\)
\(384\) 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 0.799266 + 0.600977i \(0.205222\pi\)
−0.391696 + 0.920095i \(0.628111\pi\)
\(390\) −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 0.988529 0.151033i \(-0.0482601\pi\)
−0.151033 + 0.988529i \(0.548260\pi\)
\(398\) −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 0.997521 0.0703717i \(-0.0224185\pi\)
−0.559704 + 0.828693i \(0.689085\pi\)
\(402\) 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 −0.519790 0.854294i \(-0.673990\pi\)
0.479945 + 0.877298i \(0.340656\pi\)
\(410\) 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 0.788956 + 0.614449i \(0.210622\pi\)
−0.990481 + 0.137651i \(0.956045\pi\)
\(420\) −4.04300 + 5.02820i −0.197278 + 0.245351i
\(421\) −2.10519 7.85668i −0.102601 0.382911i 0.895461 0.445140i \(-0.146846\pi\)
−0.998062 + 0.0622284i \(0.980179\pi\)
\(422\) 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 0.957866 0.287216i \(-0.0927298\pi\)
0.230196 + 0.973144i \(0.426063\pi\)
\(440\) 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 0.998718 + 0.0506256i \(0.0161215\pi\)
−0.839602 + 0.543202i \(0.817212\pi\)
\(444\) 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 0.546071 0.837739i \(-0.316123\pi\)
−0.452468 + 0.891781i \(0.649456\pi\)
\(458\) −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 −0.630007 0.776590i \(-0.716948\pi\)
−0.157307 + 0.987550i \(0.550281\pi\)
\(462\) 2.35050 + 6.09503i 0.109355 + 0.283566i
\(463\) 10.2591 + 17.7694i 0.476783 + 0.825812i 0.999646 0.0266044i \(-0.00846944\pi\)
−0.522863 + 0.852417i \(0.675136\pi\)
\(464\) 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 0.841152 0.540799i \(-0.181878\pi\)
−0.540799 + 0.841152i \(0.681878\pi\)
\(468\) −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 −0.537597 0.843202i \(-0.680668\pi\)
0.999033 + 0.0439712i \(0.0140010\pi\)
\(480\) −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 \(-0.988047\pi\)
0.999295 0.0375418i \(-0.0119527\pi\)
\(488\) 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 −0.448801 0.893632i \(-0.648149\pi\)
−0.835489 + 0.549507i \(0.814815\pi\)
\(492\) −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 0.766197 + 0.642605i \(0.222147\pi\)
−0.984849 + 0.173414i \(0.944520\pi\)
\(500\) −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 \(0.299473\pi\)
−0.589124 + 0.808043i \(0.700527\pi\)
\(504\) 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 −0.900287 0.435297i \(-0.856643\pi\)
0.997320 + 0.0731652i \(0.0233101\pi\)
\(510\) 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 \(0.0684344\pi\)
−0.976978 + 0.213341i \(0.931566\pi\)
\(522\) 37.8760 19.3553i 1.65779 0.847157i
\(523\) 4.68648 4.68648i 0.204925 0.204925i −0.597181 0.802106i \(-0.703713\pi\)
0.802106 + 0.597181i \(0.203713\pi\)
\(524\) 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 0.724283 0.689503i \(-0.242171\pi\)
−0.689503 + 0.724283i \(0.742171\pi\)
\(542\) 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 0.0552156 0.998474i \(-0.482415\pi\)
0.547055 + 0.837096i \(0.315749\pi\)
\(548\) 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 0.732154 0.681139i \(-0.238515\pi\)
−0.681139 + 0.732154i \(0.738515\pi\)
\(558\) −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 −0.377151 0.926152i \(-0.623096\pi\)
0.789698 0.613496i \(-0.210237\pi\)
\(564\) −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 0.355691 0.934604i \(-0.384246\pi\)
−0.631545 + 0.775339i \(0.717579\pi\)
\(570\) −15.5274 6.88446i −0.650372 0.288358i
\(571\) 1.00586 + 0.269518i 0.0420938 + 0.0112790i 0.279804 0.960057i \(-0.409730\pi\)
−0.237711 + 0.971336i \(0.576397\pi\)
\(572\) −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 0.873314 0.487157i \(-0.161966\pi\)
−0.999891 + 0.0147665i \(0.995300\pi\)
\(588\) 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 −0.648943 0.760837i \(-0.724789\pi\)
0.334433 + 0.942420i \(0.391455\pi\)
\(600\) −5.49648 7.48033i −0.224393 0.305383i
\(601\) 31.4648 + 18.1662i 1.28347 + 0.741015i 0.977482 0.211019i \(-0.0676782\pi\)
0.305993 + 0.952034i \(0.401012\pi\)
\(602\) 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 −0.896834 0.442367i \(-0.854139\pi\)
0.0653163 0.997865i \(-0.479194\pi\)
\(608\) −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 −0.477572 + 0.878593i \(0.658483\pi\)
−0.878593 + 0.477572i \(0.841517\pi\)
\(614\) 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 −0.856678 0.515852i \(-0.827476\pi\)
0.0184019 + 0.999831i \(0.494142\pi\)
\(618\) −16.1823 + 36.4981i −0.650949 + 1.46817i
\(619\) −1.85362 6.91779i −0.0745031 0.278049i 0.918617 0.395149i \(-0.129307\pi\)
−0.993120 + 0.117100i \(0.962640\pi\)
\(620\) 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 \(0.0888973\pi\)
−0.961254 + 0.275663i \(0.911103\pi\)
\(632\) 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 0.492828 + 0.870127i \(0.335963\pi\)
−0.999966 + 0.00826230i \(0.997370\pi\)
\(642\) 3.35449 21.3938i 0.132391 0.844346i
\(643\) −11.6011 + 43.2961i −0.457504 + 1.70743i 0.223115 + 0.974792i \(0.428378\pi\)
−0.680619 + 0.732637i \(0.738289\pi\)
\(644\) −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 \(0.225892\pi\)
−0.758584 + 0.651575i \(0.774108\pi\)
\(648\) −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 0.251618 + 0.967827i \(0.419037\pi\)
−0.701821 + 0.712353i \(0.747629\pi\)
\(654\) −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 −0.686970 0.726686i \(-0.741059\pi\)
−0.231590 + 0.972814i \(0.574393\pi\)
\(660\) −33.9991 + 3.69254i −1.32341 + 0.143732i
\(661\) −4.15952 1.11454i −0.161787 0.0433506i 0.177017 0.984208i \(-0.443355\pi\)
−0.338803 + 0.940857i \(0.610022\pi\)
\(662\) 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 −0.957336 0.288977i \(-0.906685\pi\)
0.728930 + 0.684589i \(0.240018\pi\)
\(674\) −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 −0.952612 0.304187i \(-0.901615\pi\)
0.672893 0.739740i \(-0.265051\pi\)
\(678\) −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 −0.148921 0.988849i \(-0.547580\pi\)
0.988849 + 0.148921i \(0.0475801\pi\)
\(684\) −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 −0.393905 0.919151i \(-0.628876\pi\)
0.118444 + 0.992961i \(0.462209\pi\)
\(692\) −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 0.880341 0.474342i \(-0.157314\pi\)
−0.474342 + 0.880341i \(0.657314\pi\)
\(702\) 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 0.847521 + 0.530762i \(0.178094\pi\)
−0.468594 + 0.883414i \(0.655239\pi\)
\(710\) 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 0.902499 0.430692i \(-0.141730\pi\)
0.0782595 + 0.996933i \(0.475064\pi\)
\(728\) 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 −0.942045 0.335486i \(-0.891100\pi\)
0.983578 + 0.180483i \(0.0577662\pi\)
\(734\) −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 0.844752 0.535157i \(-0.179748\pi\)
−0.535157 + 0.844752i \(0.679748\pi\)
\(740\) −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 −0.0899001 0.995951i \(-0.528655\pi\)
0.817569 + 0.575831i \(0.195321\pi\)
\(744\) −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 0.640672 0.767815i \(-0.278656\pi\)
−0.985283 + 0.170930i \(0.945323\pi\)
\(752\) −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 −0.0610085 0.998137i \(-0.519432\pi\)
0.998137 + 0.0610085i \(0.0194317\pi\)
\(758\) 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 −0.644722 0.764417i \(-0.723027\pi\)
0.339644 + 0.940554i \(0.389693\pi\)
\(762\) 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 0.966164 0.257929i \(-0.0830402\pi\)
−0.706455 + 0.707758i \(0.749707\pi\)
\(770\) −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