Properties

Label 546.2.bi.e.17.1
Level $546$
Weight $2$
Character 546.17
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bi (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 17.1
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.e.257.1

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(-1.66749 + 0.468501i) q^{3} +1.00000 q^{4} +(-1.58996 + 0.917964i) q^{5} +(1.66749 - 0.468501i) q^{6} +(-0.364289 - 2.62055i) q^{7} -1.00000 q^{8} +(2.56101 - 1.56244i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(-1.66749 + 0.468501i) q^{3} +1.00000 q^{4} +(-1.58996 + 0.917964i) q^{5} +(1.66749 - 0.468501i) q^{6} +(-0.364289 - 2.62055i) q^{7} -1.00000 q^{8} +(2.56101 - 1.56244i) q^{9} +(1.58996 - 0.917964i) q^{10} +(1.69625 + 2.93798i) q^{11} +(-1.66749 + 0.468501i) q^{12} +(3.07128 - 1.88872i) q^{13} +(0.364289 + 2.62055i) q^{14} +(2.22117 - 2.27559i) q^{15} +1.00000 q^{16} -3.18506 q^{17} +(-2.56101 + 1.56244i) q^{18} +(-1.01582 + 1.75945i) q^{19} +(-1.58996 + 0.917964i) q^{20} +(1.83518 + 4.19906i) q^{21} +(-1.69625 - 2.93798i) q^{22} +2.47560i q^{23} +(1.66749 - 0.468501i) q^{24} +(-0.814684 + 1.41107i) q^{25} +(-3.07128 + 1.88872i) q^{26} +(-3.53845 + 3.80518i) q^{27} +(-0.364289 - 2.62055i) q^{28} +(-1.81857 - 1.04995i) q^{29} +(-2.22117 + 2.27559i) q^{30} +(-3.14345 + 5.44461i) q^{31} -1.00000 q^{32} +(-4.20491 - 4.10435i) q^{33} +3.18506 q^{34} +(2.98478 + 3.83217i) q^{35} +(2.56101 - 1.56244i) q^{36} -0.503913i q^{37} +(1.01582 - 1.75945i) q^{38} +(-4.23645 + 4.58830i) q^{39} +(1.58996 - 0.917964i) q^{40} +(-4.35184 - 2.51254i) q^{41} +(-1.83518 - 4.19906i) q^{42} +(0.528972 + 0.916206i) q^{43} +(1.69625 + 2.93798i) q^{44} +(-2.63765 + 4.83513i) q^{45} -2.47560i q^{46} +(-10.0977 + 5.82991i) q^{47} +(-1.66749 + 0.468501i) q^{48} +(-6.73459 + 1.90927i) q^{49} +(0.814684 - 1.41107i) q^{50} +(5.31104 - 1.49220i) q^{51} +(3.07128 - 1.88872i) q^{52} +(5.81668 + 3.35826i) q^{53} +(3.53845 - 3.80518i) q^{54} +(-5.39393 - 3.11418i) q^{55} +(0.364289 + 2.62055i) q^{56} +(0.869560 - 3.40977i) q^{57} +(1.81857 + 1.04995i) q^{58} +6.20893i q^{59} +(2.22117 - 2.27559i) q^{60} +(10.1157 + 5.84028i) q^{61} +(3.14345 - 5.44461i) q^{62} +(-5.02740 - 6.14209i) q^{63} +1.00000 q^{64} +(-3.14944 + 5.82231i) q^{65} +(4.20491 + 4.10435i) q^{66} +(-8.59785 + 4.96397i) q^{67} -3.18506 q^{68} +(-1.15982 - 4.12803i) q^{69} +(-2.98478 - 3.83217i) q^{70} +(7.77030 + 13.4586i) q^{71} +(-2.56101 + 1.56244i) q^{72} +(-4.47574 + 7.75221i) q^{73} +0.503913i q^{74} +(0.697383 - 2.73462i) q^{75} +(-1.01582 + 1.75945i) q^{76} +(7.08122 - 5.51537i) q^{77} +(4.23645 - 4.58830i) q^{78} +(3.92399 + 6.79656i) q^{79} +(-1.58996 + 0.917964i) q^{80} +(4.11758 - 8.00285i) q^{81} +(4.35184 + 2.51254i) q^{82} -13.0790i q^{83} +(1.83518 + 4.19906i) q^{84} +(5.06412 - 2.92377i) q^{85} +(-0.528972 - 0.916206i) q^{86} +(3.52435 + 0.898778i) q^{87} +(-1.69625 - 2.93798i) q^{88} +5.33363i q^{89} +(2.63765 - 4.83513i) q^{90} +(-6.06831 - 7.36041i) q^{91} +2.47560i q^{92} +(2.69085 - 10.5515i) q^{93} +(10.0977 - 5.82991i) q^{94} -3.72995i q^{95} +(1.66749 - 0.468501i) q^{96} +(-4.79907 - 8.31223i) q^{97} +(6.73459 - 1.90927i) q^{98} +(8.93452 + 4.87394i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) −1.66749 + 0.468501i −0.962723 + 0.270489i
\(4\) 1.00000 0.500000
\(5\) −1.58996 + 0.917964i −0.711052 + 0.410526i −0.811450 0.584421i \(-0.801322\pi\)
0.100398 + 0.994947i \(0.467988\pi\)
\(6\) 1.66749 0.468501i 0.680748 0.191265i
\(7\) −0.364289 2.62055i −0.137688 0.990476i
\(8\) −1.00000 −0.353553
\(9\) 2.56101 1.56244i 0.853671 0.520813i
\(10\) 1.58996 0.917964i 0.502790 0.290286i
\(11\) 1.69625 + 2.93798i 0.511437 + 0.885835i 0.999912 + 0.0132573i \(0.00422005\pi\)
−0.488475 + 0.872578i \(0.662447\pi\)
\(12\) −1.66749 + 0.468501i −0.481361 + 0.135245i
\(13\) 3.07128 1.88872i 0.851820 0.523835i
\(14\) 0.364289 + 2.62055i 0.0973602 + 0.700372i
\(15\) 2.22117 2.27559i 0.573503 0.587555i
\(16\) 1.00000 0.250000
\(17\) −3.18506 −0.772490 −0.386245 0.922396i \(-0.626228\pi\)
−0.386245 + 0.922396i \(0.626228\pi\)
\(18\) −2.56101 + 1.56244i −0.603637 + 0.368270i
\(19\) −1.01582 + 1.75945i −0.233045 + 0.403646i −0.958703 0.284410i \(-0.908202\pi\)
0.725658 + 0.688056i \(0.241536\pi\)
\(20\) −1.58996 + 0.917964i −0.355526 + 0.205263i
\(21\) 1.83518 + 4.19906i 0.400469 + 0.916310i
\(22\) −1.69625 2.93798i −0.361641 0.626380i
\(23\) 2.47560i 0.516199i 0.966118 + 0.258099i \(0.0830962\pi\)
−0.966118 + 0.258099i \(0.916904\pi\)
\(24\) 1.66749 0.468501i 0.340374 0.0956324i
\(25\) −0.814684 + 1.41107i −0.162937 + 0.282215i
\(26\) −3.07128 + 1.88872i −0.602327 + 0.370407i
\(27\) −3.53845 + 3.80518i −0.680975 + 0.732307i
\(28\) −0.364289 2.62055i −0.0688441 0.495238i
\(29\) −1.81857 1.04995i −0.337701 0.194971i 0.321554 0.946891i \(-0.395795\pi\)
−0.659255 + 0.751920i \(0.729128\pi\)
\(30\) −2.22117 + 2.27559i −0.405528 + 0.415464i
\(31\) −3.14345 + 5.44461i −0.564580 + 0.977881i 0.432509 + 0.901630i \(0.357629\pi\)
−0.997089 + 0.0762515i \(0.975705\pi\)
\(32\) −1.00000 −0.176777
\(33\) −4.20491 4.10435i −0.731981 0.714476i
\(34\) 3.18506 0.546233
\(35\) 2.98478 + 3.83217i 0.504519 + 0.647755i
\(36\) 2.56101 1.56244i 0.426836 0.260406i
\(37\) 0.503913i 0.0828428i −0.999142 0.0414214i \(-0.986811\pi\)
0.999142 0.0414214i \(-0.0131886\pi\)
\(38\) 1.01582 1.75945i 0.164788 0.285421i
\(39\) −4.23645 + 4.58830i −0.678374 + 0.734716i
\(40\) 1.58996 0.917964i 0.251395 0.145143i
\(41\) −4.35184 2.51254i −0.679643 0.392392i 0.120077 0.992765i \(-0.461686\pi\)
−0.799721 + 0.600372i \(0.795019\pi\)
\(42\) −1.83518 4.19906i −0.283174 0.647929i
\(43\) 0.528972 + 0.916206i 0.0806674 + 0.139720i 0.903537 0.428511i \(-0.140962\pi\)
−0.822869 + 0.568231i \(0.807628\pi\)
\(44\) 1.69625 + 2.93798i 0.255719 + 0.442918i
\(45\) −2.63765 + 4.83513i −0.393197 + 0.720779i
\(46\) 2.47560i 0.365008i
\(47\) −10.0977 + 5.82991i −1.47290 + 0.850380i −0.999535 0.0304848i \(-0.990295\pi\)
−0.473367 + 0.880865i \(0.656962\pi\)
\(48\) −1.66749 + 0.468501i −0.240681 + 0.0676223i
\(49\) −6.73459 + 1.90927i −0.962084 + 0.272754i
\(50\) 0.814684 1.41107i 0.115214 0.199556i
\(51\) 5.31104 1.49220i 0.743694 0.208950i
\(52\) 3.07128 1.88872i 0.425910 0.261918i
\(53\) 5.81668 + 3.35826i 0.798983 + 0.461293i 0.843115 0.537733i \(-0.180719\pi\)
−0.0441326 + 0.999026i \(0.514052\pi\)
\(54\) 3.53845 3.80518i 0.481522 0.517819i
\(55\) −5.39393 3.11418i −0.727317 0.419917i
\(56\) 0.364289 + 2.62055i 0.0486801 + 0.350186i
\(57\) 0.869560 3.40977i 0.115176 0.451636i
\(58\) 1.81857 + 1.04995i 0.238790 + 0.137866i
\(59\) 6.20893i 0.808333i 0.914685 + 0.404167i \(0.132438\pi\)
−0.914685 + 0.404167i \(0.867562\pi\)
\(60\) 2.22117 2.27559i 0.286752 0.293777i
\(61\) 10.1157 + 5.84028i 1.29518 + 0.747771i 0.979567 0.201118i \(-0.0644575\pi\)
0.315610 + 0.948889i \(0.397791\pi\)
\(62\) 3.14345 5.44461i 0.399218 0.691467i
\(63\) −5.02740 6.14209i −0.633393 0.773831i
\(64\) 1.00000 0.125000
\(65\) −3.14944 + 5.82231i −0.390640 + 0.722168i
\(66\) 4.20491 + 4.10435i 0.517589 + 0.505211i
\(67\) −8.59785 + 4.96397i −1.05039 + 0.606445i −0.922760 0.385376i \(-0.874072\pi\)
−0.127634 + 0.991821i \(0.540738\pi\)
\(68\) −3.18506 −0.386245
\(69\) −1.15982 4.12803i −0.139626 0.496956i
\(70\) −2.98478 3.83217i −0.356749 0.458032i
\(71\) 7.77030 + 13.4586i 0.922165 + 1.59724i 0.796058 + 0.605221i \(0.206915\pi\)
0.126108 + 0.992017i \(0.459752\pi\)
\(72\) −2.56101 + 1.56244i −0.301818 + 0.184135i
\(73\) −4.47574 + 7.75221i −0.523846 + 0.907327i 0.475769 + 0.879570i \(0.342170\pi\)
−0.999615 + 0.0277570i \(0.991164\pi\)
\(74\) 0.503913i 0.0585787i
\(75\) 0.697383 2.73462i 0.0805269 0.315767i
\(76\) −1.01582 + 1.75945i −0.116523 + 0.201823i
\(77\) 7.08122 5.51537i 0.806979 0.628535i
\(78\) 4.23645 4.58830i 0.479683 0.519523i
\(79\) 3.92399 + 6.79656i 0.441484 + 0.764672i 0.997800 0.0662985i \(-0.0211189\pi\)
−0.556316 + 0.830971i \(0.687786\pi\)
\(80\) −1.58996 + 0.917964i −0.177763 + 0.102632i
\(81\) 4.11758 8.00285i 0.457509 0.889205i
\(82\) 4.35184 + 2.51254i 0.480580 + 0.277463i
\(83\) 13.0790i 1.43561i −0.696246 0.717803i \(-0.745148\pi\)
0.696246 0.717803i \(-0.254852\pi\)
\(84\) 1.83518 + 4.19906i 0.200234 + 0.458155i
\(85\) 5.06412 2.92377i 0.549281 0.317127i
\(86\) −0.528972 0.916206i −0.0570405 0.0987970i
\(87\) 3.52435 + 0.898778i 0.377850 + 0.0963592i
\(88\) −1.69625 2.93798i −0.180820 0.313190i
\(89\) 5.33363i 0.565364i 0.959214 + 0.282682i \(0.0912240\pi\)
−0.959214 + 0.282682i \(0.908776\pi\)
\(90\) 2.63765 4.83513i 0.278033 0.509668i
\(91\) −6.06831 7.36041i −0.636132 0.771581i
\(92\) 2.47560i 0.258099i
\(93\) 2.69085 10.5515i 0.279028 1.09414i
\(94\) 10.0977 5.82991i 1.04150 0.601310i
\(95\) 3.72995i 0.382684i
\(96\) 1.66749 0.468501i 0.170187 0.0478162i
\(97\) −4.79907 8.31223i −0.487272 0.843979i 0.512621 0.858615i \(-0.328674\pi\)
−0.999893 + 0.0146357i \(0.995341\pi\)
\(98\) 6.73459 1.90927i 0.680296 0.192866i
\(99\) 8.93452 + 4.87394i 0.897953 + 0.489849i
\(100\) −0.814684 + 1.41107i −0.0814684 + 0.141107i
\(101\) −4.69535 8.13258i −0.467204 0.809222i 0.532094 0.846686i \(-0.321405\pi\)
−0.999298 + 0.0374637i \(0.988072\pi\)
\(102\) −5.31104 + 1.49220i −0.525871 + 0.147750i
\(103\) −11.5646 + 6.67680i −1.13949 + 0.657884i −0.946304 0.323278i \(-0.895215\pi\)
−0.193185 + 0.981162i \(0.561882\pi\)
\(104\) −3.07128 + 1.88872i −0.301164 + 0.185204i
\(105\) −6.77245 4.99172i −0.660923 0.487142i
\(106\) −5.81668 3.35826i −0.564966 0.326183i
\(107\) 13.3709i 1.29262i −0.763076 0.646309i \(-0.776312\pi\)
0.763076 0.646309i \(-0.223688\pi\)
\(108\) −3.53845 + 3.80518i −0.340487 + 0.366154i
\(109\) 3.82963 + 2.21104i 0.366812 + 0.211779i 0.672065 0.740492i \(-0.265408\pi\)
−0.305253 + 0.952271i \(0.598741\pi\)
\(110\) 5.39393 + 3.11418i 0.514291 + 0.296926i
\(111\) 0.236084 + 0.840268i 0.0224081 + 0.0797547i
\(112\) −0.364289 2.62055i −0.0344220 0.247619i
\(113\) 13.8390 7.98994i 1.30186 0.751631i 0.321139 0.947032i \(-0.395934\pi\)
0.980723 + 0.195402i \(0.0626010\pi\)
\(114\) −0.869560 + 3.40977i −0.0814417 + 0.319355i
\(115\) −2.27251 3.93611i −0.211913 0.367044i
\(116\) −1.81857 1.04995i −0.168850 0.0974857i
\(117\) 4.91459 9.63571i 0.454354 0.890821i
\(118\) 6.20893i 0.571578i
\(119\) 1.16028 + 8.34661i 0.106363 + 0.765133i
\(120\) −2.22117 + 2.27559i −0.202764 + 0.207732i
\(121\) −0.254496 + 0.440801i −0.0231360 + 0.0400728i
\(122\) −10.1157 5.84028i −0.915829 0.528754i
\(123\) 8.43375 + 2.15077i 0.760446 + 0.193929i
\(124\) −3.14345 + 5.44461i −0.282290 + 0.488941i
\(125\) 12.1710i 1.08861i
\(126\) 5.02740 + 6.14209i 0.447876 + 0.547181i
\(127\) −0.475986 + 0.824432i −0.0422370 + 0.0731566i −0.886371 0.462976i \(-0.846782\pi\)
0.844134 + 0.536132i \(0.180115\pi\)
\(128\) −1.00000 −0.0883883
\(129\) −1.31130 1.27994i −0.115453 0.112692i
\(130\) 3.14944 5.82231i 0.276224 0.510650i
\(131\) 4.95760 + 8.58681i 0.433147 + 0.750233i 0.997142 0.0755449i \(-0.0240696\pi\)
−0.563995 + 0.825778i \(0.690736\pi\)
\(132\) −4.20491 4.10435i −0.365991 0.357238i
\(133\) 4.98079 + 2.02106i 0.431889 + 0.175248i
\(134\) 8.59785 4.96397i 0.742741 0.428822i
\(135\) 2.13297 9.29825i 0.183577 0.800266i
\(136\) 3.18506 0.273117
\(137\) −3.18307 −0.271948 −0.135974 0.990712i \(-0.543416\pi\)
−0.135974 + 0.990712i \(0.543416\pi\)
\(138\) 1.15982 + 4.12803i 0.0987306 + 0.351401i
\(139\) 0.0981681 0.0566774i 0.00832651 0.00480731i −0.495831 0.868419i \(-0.665136\pi\)
0.504157 + 0.863612i \(0.331803\pi\)
\(140\) 2.98478 + 3.83217i 0.252260 + 0.323878i
\(141\) 14.1065 14.4521i 1.18798 1.21709i
\(142\) −7.77030 13.4586i −0.652069 1.12942i
\(143\) 10.7587 + 5.81964i 0.899684 + 0.486663i
\(144\) 2.56101 1.56244i 0.213418 0.130203i
\(145\) 3.85528 0.320164
\(146\) 4.47574 7.75221i 0.370415 0.641577i
\(147\) 10.3353 6.33885i 0.852443 0.522820i
\(148\) 0.503913i 0.0414214i
\(149\) −10.8563 + 18.8036i −0.889382 + 1.54045i −0.0487739 + 0.998810i \(0.515531\pi\)
−0.840608 + 0.541644i \(0.817802\pi\)
\(150\) −0.697383 + 2.73462i −0.0569411 + 0.223281i
\(151\) −4.69698 2.71180i −0.382235 0.220684i 0.296555 0.955016i \(-0.404162\pi\)
−0.678790 + 0.734332i \(0.737495\pi\)
\(152\) 1.01582 1.75945i 0.0823939 0.142710i
\(153\) −8.15698 + 4.97646i −0.659453 + 0.402323i
\(154\) −7.08122 + 5.51537i −0.570621 + 0.444441i
\(155\) 11.5423i 0.927099i
\(156\) −4.23645 + 4.58830i −0.339187 + 0.367358i
\(157\) 18.4221 + 10.6360i 1.47025 + 0.848848i 0.999442 0.0333895i \(-0.0106302\pi\)
0.470805 + 0.882237i \(0.343964\pi\)
\(158\) −3.92399 6.79656i −0.312176 0.540705i
\(159\) −11.2726 2.87473i −0.893974 0.227981i
\(160\) 1.58996 0.917964i 0.125697 0.0725714i
\(161\) 6.48744 0.901834i 0.511282 0.0710744i
\(162\) −4.11758 + 8.00285i −0.323507 + 0.628763i
\(163\) 8.67648 + 5.00937i 0.679594 + 0.392364i 0.799702 0.600397i \(-0.204991\pi\)
−0.120108 + 0.992761i \(0.538324\pi\)
\(164\) −4.35184 2.51254i −0.339822 0.196196i
\(165\) 10.4533 + 2.66580i 0.813788 + 0.207532i
\(166\) 13.0790i 1.01513i
\(167\) −3.11618 1.79913i −0.241137 0.139221i 0.374562 0.927202i \(-0.377793\pi\)
−0.615699 + 0.787981i \(0.711126\pi\)
\(168\) −1.83518 4.19906i −0.141587 0.323965i
\(169\) 5.86551 11.6015i 0.451193 0.892426i
\(170\) −5.06412 + 2.92377i −0.388400 + 0.224243i
\(171\) 0.147505 + 6.09314i 0.0112800 + 0.465954i
\(172\) 0.528972 + 0.916206i 0.0403337 + 0.0698600i
\(173\) 0.476807 0.825853i 0.0362509 0.0627885i −0.847331 0.531066i \(-0.821792\pi\)
0.883582 + 0.468277i \(0.155125\pi\)
\(174\) −3.52435 0.898778i −0.267180 0.0681362i
\(175\) 3.99457 + 1.62088i 0.301961 + 0.122527i
\(176\) 1.69625 + 2.93798i 0.127859 + 0.221459i
\(177\) −2.90889 10.3533i −0.218645 0.778201i
\(178\) 5.33363i 0.399772i
\(179\) −15.3789 + 8.87903i −1.14948 + 0.663650i −0.948759 0.316000i \(-0.897660\pi\)
−0.200716 + 0.979649i \(0.564327\pi\)
\(180\) −2.63765 + 4.83513i −0.196599 + 0.360389i
\(181\) 5.51564i 0.409975i 0.978765 + 0.204987i \(0.0657153\pi\)
−0.978765 + 0.204987i \(0.934285\pi\)
\(182\) 6.06831 + 7.36041i 0.449813 + 0.545590i
\(183\) −19.6039 4.99938i −1.44916 0.369565i
\(184\) 2.47560i 0.182504i
\(185\) 0.462574 + 0.801202i 0.0340091 + 0.0589056i
\(186\) −2.69085 + 10.5515i −0.197302 + 0.773675i
\(187\) −5.40264 9.35765i −0.395080 0.684299i
\(188\) −10.0977 + 5.82991i −0.736451 + 0.425190i
\(189\) 11.2607 + 7.88650i 0.819094 + 0.573659i
\(190\) 3.72995i 0.270599i
\(191\) −17.4751 10.0893i −1.26446 0.730034i −0.290523 0.956868i \(-0.593829\pi\)
−0.973933 + 0.226834i \(0.927163\pi\)
\(192\) −1.66749 + 0.468501i −0.120340 + 0.0338112i
\(193\) 3.93413 2.27137i 0.283185 0.163497i −0.351679 0.936121i \(-0.614389\pi\)
0.634864 + 0.772624i \(0.281056\pi\)
\(194\) 4.79907 + 8.31223i 0.344553 + 0.596783i
\(195\) 2.52389 11.1841i 0.180739 0.800912i
\(196\) −6.73459 + 1.90927i −0.481042 + 0.136377i
\(197\) −5.74363 + 9.94826i −0.409217 + 0.708784i −0.994802 0.101826i \(-0.967531\pi\)
0.585585 + 0.810611i \(0.300865\pi\)
\(198\) −8.93452 4.87394i −0.634949 0.346376i
\(199\) 6.86468i 0.486624i 0.969948 + 0.243312i \(0.0782339\pi\)
−0.969948 + 0.243312i \(0.921766\pi\)
\(200\) 0.814684 1.41107i 0.0576068 0.0997780i
\(201\) 12.0112 12.3054i 0.847202 0.867959i
\(202\) 4.69535 + 8.13258i 0.330363 + 0.572206i
\(203\) −2.08897 + 5.14815i −0.146617 + 0.361329i
\(204\) 5.31104 1.49220i 0.371847 0.104475i
\(205\) 9.22567 0.644349
\(206\) 11.5646 6.67680i 0.805741 0.465195i
\(207\) 3.86797 + 6.34005i 0.268843 + 0.440664i
\(208\) 3.07128 1.88872i 0.212955 0.130959i
\(209\) −6.89232 −0.476752
\(210\) 6.77245 + 4.99172i 0.467343 + 0.344461i
\(211\) −2.63957 + 4.57187i −0.181715 + 0.314740i −0.942465 0.334305i \(-0.891498\pi\)
0.760749 + 0.649046i \(0.224832\pi\)
\(212\) 5.81668 + 3.35826i 0.399491 + 0.230646i
\(213\) −19.2622 18.8016i −1.31983 1.28826i
\(214\) 13.3709i 0.914019i
\(215\) −1.68209 0.971154i −0.114717 0.0662321i
\(216\) 3.53845 3.80518i 0.240761 0.258910i
\(217\) 15.4130 + 6.25416i 1.04630 + 0.424560i
\(218\) −3.82963 2.21104i −0.259375 0.149750i
\(219\) 3.83131 15.0236i 0.258896 1.01520i
\(220\) −5.39393 3.11418i −0.363658 0.209958i
\(221\) −9.78221 + 6.01567i −0.658022 + 0.404658i
\(222\) −0.236084 0.840268i −0.0158449 0.0563951i
\(223\) −14.2982 + 24.7653i −0.957481 + 1.65841i −0.228896 + 0.973451i \(0.573512\pi\)
−0.728585 + 0.684955i \(0.759822\pi\)
\(224\) 0.364289 + 2.62055i 0.0243401 + 0.175093i
\(225\) 0.118299 + 4.88667i 0.00788657 + 0.325778i
\(226\) −13.8390 + 7.98994i −0.920556 + 0.531483i
\(227\) 6.00983i 0.398886i −0.979909 0.199443i \(-0.936087\pi\)
0.979909 0.199443i \(-0.0639133\pi\)
\(228\) 0.869560 3.40977i 0.0575880 0.225818i
\(229\) −7.02836 12.1735i −0.464447 0.804446i 0.534729 0.845023i \(-0.320414\pi\)
−0.999176 + 0.0405773i \(0.987080\pi\)
\(230\) 2.27251 + 3.93611i 0.149845 + 0.259539i
\(231\) −9.22386 + 12.5144i −0.606886 + 0.823384i
\(232\) 1.81857 + 1.04995i 0.119395 + 0.0689328i
\(233\) 24.0450 13.8824i 1.57524 0.909465i 0.579729 0.814809i \(-0.303158\pi\)
0.995510 0.0946555i \(-0.0301750\pi\)
\(234\) −4.91459 + 9.63571i −0.321277 + 0.629906i
\(235\) 10.7033 18.5387i 0.698207 1.20933i
\(236\) 6.20893i 0.404167i
\(237\) −9.72740 9.49476i −0.631862 0.616751i
\(238\) −1.16028 8.34661i −0.0752098 0.541031i
\(239\) −5.31347 −0.343700 −0.171850 0.985123i \(-0.554974\pi\)
−0.171850 + 0.985123i \(0.554974\pi\)
\(240\) 2.22117 2.27559i 0.143376 0.146889i
\(241\) −19.2577 −1.24050 −0.620249 0.784405i \(-0.712968\pi\)
−0.620249 + 0.784405i \(0.712968\pi\)
\(242\) 0.254496 0.440801i 0.0163596 0.0283357i
\(243\) −3.11666 + 15.2737i −0.199934 + 0.979809i
\(244\) 10.1157 + 5.84028i 0.647589 + 0.373885i
\(245\) 8.95508 9.21778i 0.572119 0.588902i
\(246\) −8.43375 2.15077i −0.537716 0.137128i
\(247\) 0.203236 + 7.32236i 0.0129316 + 0.465911i
\(248\) 3.14345 5.44461i 0.199609 0.345733i
\(249\) 6.12753 + 21.8090i 0.388316 + 1.38209i
\(250\) 12.1710i 0.769764i
\(251\) 4.75595 + 8.23755i 0.300193 + 0.519950i 0.976180 0.216964i \(-0.0696156\pi\)
−0.675986 + 0.736914i \(0.736282\pi\)
\(252\) −5.02740 6.14209i −0.316696 0.386915i
\(253\) −7.27328 + 4.19923i −0.457267 + 0.264003i
\(254\) 0.475986 0.824432i 0.0298660 0.0517295i
\(255\) −7.07455 + 7.24789i −0.443026 + 0.453880i
\(256\) 1.00000 0.0625000
\(257\) 5.26373 0.328343 0.164171 0.986432i \(-0.447505\pi\)
0.164171 + 0.986432i \(0.447505\pi\)
\(258\) 1.31130 + 1.27994i 0.0816377 + 0.0796853i
\(259\) −1.32053 + 0.183570i −0.0820538 + 0.0114065i
\(260\) −3.14944 + 5.82231i −0.195320 + 0.361084i
\(261\) −6.29788 + 0.152462i −0.389829 + 0.00943714i
\(262\) −4.95760 8.58681i −0.306281 0.530495i
\(263\) −9.39641 + 5.42502i −0.579408 + 0.334521i −0.760898 0.648872i \(-0.775241\pi\)
0.181490 + 0.983393i \(0.441908\pi\)
\(264\) 4.20491 + 4.10435i 0.258794 + 0.252605i
\(265\) −12.3311 −0.757491
\(266\) −4.98079 2.02106i −0.305392 0.123919i
\(267\) −2.49881 8.89375i −0.152925 0.544288i
\(268\) −8.59785 + 4.96397i −0.525197 + 0.303223i
\(269\) 18.1117 1.10429 0.552146 0.833747i \(-0.313809\pi\)
0.552146 + 0.833747i \(0.313809\pi\)
\(270\) −2.13297 + 9.29825i −0.129809 + 0.565874i
\(271\) 8.67329 0.526865 0.263432 0.964678i \(-0.415145\pi\)
0.263432 + 0.964678i \(0.415145\pi\)
\(272\) −3.18506 −0.193123
\(273\) 13.5672 + 9.43036i 0.821123 + 0.570752i
\(274\) 3.18307 0.192296
\(275\) −5.52761 −0.333328
\(276\) −1.15982 4.12803i −0.0698131 0.248478i
\(277\) −18.2835 −1.09855 −0.549275 0.835642i \(-0.685096\pi\)
−0.549275 + 0.835642i \(0.685096\pi\)
\(278\) −0.0981681 + 0.0566774i −0.00588773 + 0.00339928i
\(279\) 0.456454 + 18.8552i 0.0273272 + 1.12883i
\(280\) −2.98478 3.83217i −0.178375 0.229016i
\(281\) 2.73779 0.163323 0.0816614 0.996660i \(-0.473977\pi\)
0.0816614 + 0.996660i \(0.473977\pi\)
\(282\) −14.1065 + 14.4521i −0.840027 + 0.860609i
\(283\) 4.60044 2.65607i 0.273468 0.157887i −0.356995 0.934106i \(-0.616199\pi\)
0.630463 + 0.776220i \(0.282865\pi\)
\(284\) 7.77030 + 13.4586i 0.461083 + 0.798619i
\(285\) 1.74748 + 6.21963i 0.103512 + 0.368419i
\(286\) −10.7587 5.81964i −0.636173 0.344123i
\(287\) −4.99890 + 12.3195i −0.295076 + 0.727198i
\(288\) −2.56101 + 1.56244i −0.150909 + 0.0920675i
\(289\) −6.85540 −0.403259
\(290\) −3.85528 −0.226390
\(291\) 11.8967 + 11.6122i 0.697395 + 0.680716i
\(292\) −4.47574 + 7.75221i −0.261923 + 0.453664i
\(293\) 2.86877 1.65628i 0.167595 0.0967612i −0.413856 0.910342i \(-0.635818\pi\)
0.581451 + 0.813581i \(0.302485\pi\)
\(294\) −10.3353 + 6.33885i −0.602769 + 0.369689i
\(295\) −5.69957 9.87195i −0.331842 0.574767i
\(296\) 0.503913i 0.0292894i
\(297\) −17.1816 3.94138i −0.996979 0.228702i
\(298\) 10.8563 18.8036i 0.628888 1.08927i
\(299\) 4.67571 + 7.60326i 0.270403 + 0.439708i
\(300\) 0.697383 2.73462i 0.0402634 0.157884i
\(301\) 2.20827 1.71996i 0.127282 0.0991369i
\(302\) 4.69698 + 2.71180i 0.270281 + 0.156047i
\(303\) 11.6395 + 11.3612i 0.668674 + 0.652683i
\(304\) −1.01582 + 1.75945i −0.0582613 + 0.100912i
\(305\) −21.4447 −1.22792
\(306\) 8.15698 4.97646i 0.466303 0.284485i
\(307\) 23.8813 1.36298 0.681490 0.731827i \(-0.261332\pi\)
0.681490 + 0.731827i \(0.261332\pi\)
\(308\) 7.08122 5.51537i 0.403490 0.314268i
\(309\) 16.1556 16.5515i 0.919062 0.941580i
\(310\) 11.5423i 0.655558i
\(311\) 15.8352 27.4274i 0.897934 1.55527i 0.0678034 0.997699i \(-0.478401\pi\)
0.830131 0.557569i \(-0.188266\pi\)
\(312\) 4.23645 4.58830i 0.239842 0.259761i
\(313\) 12.5081 7.22158i 0.707002 0.408188i −0.102948 0.994687i \(-0.532828\pi\)
0.809950 + 0.586499i \(0.199494\pi\)
\(314\) −18.4221 10.6360i −1.03962 0.600226i
\(315\) 13.6316 + 5.15071i 0.768053 + 0.290210i
\(316\) 3.92399 + 6.79656i 0.220742 + 0.382336i
\(317\) −12.7938 22.1596i −0.718573 1.24461i −0.961565 0.274577i \(-0.911462\pi\)
0.242992 0.970028i \(-0.421871\pi\)
\(318\) 11.2726 + 2.87473i 0.632135 + 0.161207i
\(319\) 7.12392i 0.398863i
\(320\) −1.58996 + 0.917964i −0.0888815 + 0.0513158i
\(321\) 6.26430 + 22.2958i 0.349639 + 1.24443i
\(322\) −6.48744 + 0.901834i −0.361531 + 0.0502572i
\(323\) 3.23545 5.60396i 0.180025 0.311813i
\(324\) 4.11758 8.00285i 0.228754 0.444603i
\(325\) 0.162995 + 5.87251i 0.00904132 + 0.325748i
\(326\) −8.67648 5.00937i −0.480546 0.277443i
\(327\) −7.42172 1.89269i −0.410422 0.104666i
\(328\) 4.35184 + 2.51254i 0.240290 + 0.138732i
\(329\) 18.9561 + 24.3378i 1.04508 + 1.34179i
\(330\) −10.4533 2.66580i −0.575435 0.146747i
\(331\) 7.25351 + 4.18782i 0.398689 + 0.230183i 0.685918 0.727679i \(-0.259401\pi\)
−0.287229 + 0.957862i \(0.592734\pi\)
\(332\) 13.0790i 0.717803i
\(333\) −0.787333 1.29053i −0.0431456 0.0707205i
\(334\) 3.11618 + 1.79913i 0.170510 + 0.0984438i
\(335\) 9.11349 15.7850i 0.497923 0.862428i
\(336\) 1.83518 + 4.19906i 0.100117 + 0.229078i
\(337\) −9.14343 −0.498074 −0.249037 0.968494i \(-0.580114\pi\)
−0.249037 + 0.968494i \(0.580114\pi\)
\(338\) −5.86551 + 11.6015i −0.319042 + 0.631041i
\(339\) −19.3330 + 19.8067i −1.05002 + 1.07575i
\(340\) 5.06412 2.92377i 0.274640 0.158564i
\(341\) −21.3282 −1.15499
\(342\) −0.147505 6.09314i −0.00797617 0.329479i
\(343\) 7.45669 + 16.9528i 0.402623 + 0.915366i
\(344\) −0.528972 0.916206i −0.0285202 0.0493985i
\(345\) 5.63345 + 5.49873i 0.303295 + 0.296042i
\(346\) −0.476807 + 0.825853i −0.0256333 + 0.0443982i
\(347\) 31.0967i 1.66936i −0.550736 0.834679i \(-0.685653\pi\)
0.550736 0.834679i \(-0.314347\pi\)
\(348\) 3.52435 + 0.898778i 0.188925 + 0.0481796i
\(349\) 14.0331 24.3060i 0.751175 1.30107i −0.196079 0.980588i \(-0.562821\pi\)
0.947254 0.320485i \(-0.103846\pi\)
\(350\) −3.99457 1.62088i −0.213519 0.0866398i
\(351\) −3.68066 + 18.3699i −0.196459 + 0.980512i
\(352\) −1.69625 2.93798i −0.0904102 0.156595i
\(353\) −24.5364 + 14.1661i −1.30594 + 0.753984i −0.981416 0.191894i \(-0.938537\pi\)
−0.324523 + 0.945878i \(0.605204\pi\)
\(354\) 2.90889 + 10.3533i 0.154606 + 0.550271i
\(355\) −24.7090 14.2657i −1.31142 0.757146i
\(356\) 5.33363i 0.282682i
\(357\) −5.84515 13.3743i −0.309358 0.707841i
\(358\) 15.3789 8.87903i 0.812802 0.469271i
\(359\) 10.8679 + 18.8238i 0.573588 + 0.993483i 0.996193 + 0.0871698i \(0.0277823\pi\)
−0.422606 + 0.906314i \(0.638884\pi\)
\(360\) 2.63765 4.83513i 0.139016 0.254834i
\(361\) 7.43622 + 12.8799i 0.391380 + 0.677890i
\(362\) 5.51564i 0.289896i
\(363\) 0.217853 0.854260i 0.0114343 0.0448370i
\(364\) −6.06831 7.36041i −0.318066 0.385790i
\(365\) 16.4343i 0.860209i
\(366\) 19.6039 + 4.99938i 1.02471 + 0.261322i
\(367\) 13.6561 7.88437i 0.712844 0.411561i −0.0992693 0.995061i \(-0.531651\pi\)
0.812113 + 0.583500i \(0.198317\pi\)
\(368\) 2.47560i 0.129050i
\(369\) −15.0708 + 0.364840i −0.784554 + 0.0189928i
\(370\) −0.462574 0.801202i −0.0240481 0.0416525i
\(371\) 6.68155 16.4663i 0.346889 0.854887i
\(372\) 2.69085 10.5515i 0.139514 0.547071i
\(373\) 3.62253 6.27441i 0.187568 0.324877i −0.756871 0.653564i \(-0.773273\pi\)
0.944439 + 0.328687i \(0.106606\pi\)
\(374\) 5.40264 + 9.35765i 0.279364 + 0.483873i
\(375\) 5.70215 + 20.2950i 0.294458 + 1.04803i
\(376\) 10.0977 5.82991i 0.520750 0.300655i
\(377\) −7.56841 + 0.210065i −0.389793 + 0.0108189i
\(378\) −11.2607 7.88650i −0.579187 0.405638i
\(379\) 4.24213 + 2.44920i 0.217904 + 0.125807i 0.604979 0.796241i \(-0.293181\pi\)
−0.387076 + 0.922048i \(0.626515\pi\)
\(380\) 3.72995i 0.191342i
\(381\) 0.407452 1.59773i 0.0208744 0.0818541i
\(382\) 17.4751 + 10.0893i 0.894106 + 0.516212i
\(383\) 6.85462 + 3.95752i 0.350255 + 0.202220i 0.664797 0.747024i \(-0.268518\pi\)
−0.314543 + 0.949243i \(0.601851\pi\)
\(384\) 1.66749 0.468501i 0.0850935 0.0239081i
\(385\) −6.19594 + 15.2695i −0.315774 + 0.778207i
\(386\) −3.93413 + 2.27137i −0.200242 + 0.115610i
\(387\) 2.78622 + 1.51993i 0.141631 + 0.0772624i
\(388\) −4.79907 8.31223i −0.243636 0.421990i
\(389\) −2.27718 1.31473i −0.115458 0.0666595i 0.441159 0.897429i \(-0.354567\pi\)
−0.556617 + 0.830769i \(0.687901\pi\)
\(390\) −2.52389 + 11.1841i −0.127802 + 0.566330i
\(391\) 7.88494i 0.398758i
\(392\) 6.73459 1.90927i 0.340148 0.0964329i
\(393\) −12.2897 11.9957i −0.619931 0.605105i
\(394\) 5.74363 9.94826i 0.289360 0.501186i
\(395\) −12.4780 7.20417i −0.627836 0.362481i
\(396\) 8.93452 + 4.87394i 0.448977 + 0.244925i
\(397\) −16.5529 + 28.6705i −0.830766 + 1.43893i 0.0666658 + 0.997775i \(0.478764\pi\)
−0.897432 + 0.441153i \(0.854569\pi\)
\(398\) 6.86468i 0.344095i
\(399\) −9.25226 1.03658i −0.463192 0.0518941i
\(400\) −0.814684 + 1.41107i −0.0407342 + 0.0705537i
\(401\) −6.99738 −0.349433 −0.174716 0.984619i \(-0.555901\pi\)
−0.174716 + 0.984619i \(0.555901\pi\)
\(402\) −12.0112 + 12.3054i −0.599062 + 0.613740i
\(403\) 0.628914 + 22.6590i 0.0313284 + 1.12873i
\(404\) −4.69535 8.13258i −0.233602 0.404611i
\(405\) 0.799540 + 16.5040i 0.0397294 + 0.820090i
\(406\) 2.08897 5.14815i 0.103674 0.255498i
\(407\) 1.48049 0.854760i 0.0733851 0.0423689i
\(408\) −5.31104 + 1.49220i −0.262936 + 0.0738751i
\(409\) −31.8405 −1.57441 −0.787206 0.616691i \(-0.788473\pi\)
−0.787206 + 0.616691i \(0.788473\pi\)
\(410\) −9.22567 −0.455623
\(411\) 5.30772 1.49127i 0.261811 0.0735590i
\(412\) −11.5646 + 6.67680i −0.569745 + 0.328942i
\(413\) 16.2708 2.26184i 0.800634 0.111298i
\(414\) −3.86797 6.34005i −0.190100 0.311596i
\(415\) 12.0061 + 20.7951i 0.589354 + 1.02079i
\(416\) −3.07128 + 1.88872i −0.150582 + 0.0926019i
\(417\) −0.137140 + 0.140501i −0.00671580 + 0.00688034i
\(418\) 6.89232 0.337114
\(419\) −5.19733 + 9.00204i −0.253906 + 0.439778i −0.964598 0.263725i \(-0.915049\pi\)
0.710692 + 0.703504i \(0.248382\pi\)
\(420\) −6.77245 4.99172i −0.330462 0.243571i
\(421\) 0.111490i 0.00543368i −0.999996 0.00271684i \(-0.999135\pi\)
0.999996 0.00271684i \(-0.000864798\pi\)
\(422\) 2.63957 4.57187i 0.128492 0.222555i
\(423\) −16.7515 + 30.7075i −0.814485 + 1.49305i
\(424\) −5.81668 3.35826i −0.282483 0.163092i
\(425\) 2.59482 4.49435i 0.125867 0.218008i
\(426\) 19.2622 + 18.8016i 0.933257 + 0.910938i
\(427\) 11.6197 28.6362i 0.562318 1.38580i
\(428\) 13.3709i 0.646309i
\(429\) −20.6664 4.66372i −0.997784 0.225167i
\(430\) 1.68209 + 0.971154i 0.0811175 + 0.0468332i
\(431\) −19.3138 33.4525i −0.930313 1.61135i −0.782786 0.622291i \(-0.786202\pi\)
−0.147527 0.989058i \(-0.547131\pi\)
\(432\) −3.53845 + 3.80518i −0.170244 + 0.183077i
\(433\) −5.30602 + 3.06343i −0.254991 + 0.147219i −0.622047 0.782980i \(-0.713699\pi\)
0.367056 + 0.930199i \(0.380366\pi\)
\(434\) −15.4130 6.25416i −0.739848 0.300209i
\(435\) −6.42862 + 1.80620i −0.308229 + 0.0866008i
\(436\) 3.82963 + 2.21104i 0.183406 + 0.105890i
\(437\) −4.35570 2.51477i −0.208362 0.120298i
\(438\) −3.83131 + 15.0236i −0.183067 + 0.717854i
\(439\) 34.9618i 1.66864i −0.551284 0.834318i \(-0.685862\pi\)
0.551284 0.834318i \(-0.314138\pi\)
\(440\) 5.39393 + 3.11418i 0.257145 + 0.148463i
\(441\) −14.2642 + 15.4121i −0.679250 + 0.733907i
\(442\) 9.78221 6.01567i 0.465292 0.286136i
\(443\) −7.76750 + 4.48457i −0.369045 + 0.213068i −0.673041 0.739605i \(-0.735012\pi\)
0.303996 + 0.952673i \(0.401679\pi\)
\(444\) 0.236084 + 0.840268i 0.0112040 + 0.0398773i
\(445\) −4.89608 8.48026i −0.232096 0.402003i
\(446\) 14.2982 24.7653i 0.677042 1.17267i
\(447\) 9.29317 36.4410i 0.439552 1.72360i
\(448\) −0.364289 2.62055i −0.0172110 0.123809i
\(449\) 9.32220 + 16.1465i 0.439942 + 0.762002i 0.997684 0.0680121i \(-0.0216657\pi\)
−0.557742 + 0.830014i \(0.688332\pi\)
\(450\) −0.118299 4.88667i −0.00557665 0.230360i
\(451\) 17.0475i 0.802736i
\(452\) 13.8390 7.98994i 0.650931 0.375815i
\(453\) 9.10263 + 2.32135i 0.427679 + 0.109067i
\(454\) 6.00983i 0.282055i
\(455\) 16.4050 + 6.13227i 0.769077 + 0.287485i
\(456\) −0.869560 + 3.40977i −0.0407209 + 0.159677i
\(457\) 28.4939i 1.33289i −0.745554 0.666445i \(-0.767815\pi\)
0.745554 0.666445i \(-0.232185\pi\)
\(458\) 7.02836 + 12.1735i 0.328414 + 0.568829i
\(459\) 11.2702 12.1197i 0.526046 0.565700i
\(460\) −2.27251 3.93611i −0.105956 0.183522i
\(461\) −10.2455 + 5.91523i −0.477180 + 0.275500i −0.719240 0.694761i \(-0.755510\pi\)
0.242061 + 0.970261i \(0.422177\pi\)
\(462\) 9.22386 12.5144i 0.429133 0.582221i
\(463\) 10.9649i 0.509582i 0.966996 + 0.254791i \(0.0820067\pi\)
−0.966996 + 0.254791i \(0.917993\pi\)
\(464\) −1.81857 1.04995i −0.0844251 0.0487429i
\(465\) 5.40758 + 19.2466i 0.250770 + 0.892540i
\(466\) −24.0450 + 13.8824i −1.11386 + 0.643089i
\(467\) 10.0288 + 17.3705i 0.464080 + 0.803810i 0.999159 0.0409918i \(-0.0130517\pi\)
−0.535080 + 0.844802i \(0.679718\pi\)
\(468\) 4.91459 9.63571i 0.227177 0.445411i
\(469\) 16.1404 + 20.7228i 0.745296 + 0.956889i
\(470\) −10.7033 + 18.5387i −0.493707 + 0.855125i
\(471\) −35.7017 9.10463i −1.64505 0.419519i
\(472\) 6.20893i 0.285789i
\(473\) −1.79453 + 3.10822i −0.0825126 + 0.142916i
\(474\) 9.72740 + 9.49476i 0.446794 + 0.436109i
\(475\) −1.65514 2.86679i −0.0759432 0.131538i
\(476\) 1.16028 + 8.34661i 0.0531814 + 0.382566i
\(477\) 20.1437 0.487646i 0.922316 0.0223278i
\(478\) 5.31347 0.243033
\(479\) 26.6476 15.3850i 1.21756 0.702957i 0.253163 0.967424i \(-0.418529\pi\)
0.964395 + 0.264466i \(0.0851958\pi\)
\(480\) −2.22117 + 2.27559i −0.101382 + 0.103866i
\(481\) −0.951748 1.54766i −0.0433960 0.0705671i
\(482\) 19.2577 0.877164
\(483\) −10.3952 + 4.54317i −0.472998 + 0.206721i
\(484\) −0.254496 + 0.440801i −0.0115680 + 0.0200364i
\(485\) 15.2607 + 8.81074i 0.692951 + 0.400075i
\(486\) 3.11666 15.2737i 0.141374 0.692830i
\(487\) 35.8831i 1.62602i −0.582252 0.813009i \(-0.697828\pi\)
0.582252 0.813009i \(-0.302172\pi\)
\(488\) −10.1157 5.84028i −0.457914 0.264377i
\(489\) −16.8148 4.28811i −0.760391 0.193915i
\(490\) −8.95508 + 9.21778i −0.404549 + 0.416417i
\(491\) 32.3384 + 18.6706i 1.45941 + 0.842592i 0.998982 0.0451043i \(-0.0143620\pi\)
0.460430 + 0.887696i \(0.347695\pi\)
\(492\) 8.43375 + 2.15077i 0.380223 + 0.0969644i
\(493\) 5.79226 + 3.34416i 0.260870 + 0.150614i
\(494\) −0.203236 7.32236i −0.00914404 0.329449i
\(495\) −18.6796 + 0.452204i −0.839587 + 0.0203251i
\(496\) −3.14345 + 5.44461i −0.141145 + 0.244470i
\(497\) 32.4382 25.2653i 1.45505 1.13330i
\(498\) −6.12753 21.8090i −0.274581 0.977286i
\(499\) 19.1199 11.0389i 0.855925 0.494169i −0.00672032 0.999977i \(-0.502139\pi\)
0.862646 + 0.505809i \(0.168806\pi\)
\(500\) 12.1710i 0.544306i
\(501\) 6.03907 + 1.54008i 0.269806 + 0.0688058i
\(502\) −4.75595 8.23755i −0.212269 0.367660i
\(503\) 18.0289 + 31.2270i 0.803870 + 1.39234i 0.917051 + 0.398769i \(0.130563\pi\)
−0.113181 + 0.993574i \(0.536104\pi\)
\(504\) 5.02740 + 6.14209i 0.223938 + 0.273590i
\(505\) 14.9308 + 8.62032i 0.664413 + 0.383599i
\(506\) 7.27328 4.19923i 0.323337 0.186678i
\(507\) −4.34532 + 22.0934i −0.192982 + 0.981202i
\(508\) −0.475986 + 0.824432i −0.0211185 + 0.0365783i
\(509\) 27.2107i 1.20609i −0.797705 0.603047i \(-0.793953\pi\)
0.797705 0.603047i \(-0.206047\pi\)
\(510\) 7.07455 7.24789i 0.313266 0.320942i
\(511\) 21.9455 + 8.90487i 0.970813 + 0.393928i
\(512\) −1.00000 −0.0441942
\(513\) −3.10060 10.0911i −0.136895 0.445533i
\(514\) −5.26373 −0.232173
\(515\) 12.2581 21.2317i 0.540157 0.935580i
\(516\) −1.31130 1.27994i −0.0577266 0.0563460i
\(517\) −34.2564 19.7779i −1.50659 0.869832i
\(518\) 1.32053 0.183570i 0.0580208 0.00806560i
\(519\) −0.408155 + 1.60048i −0.0179160 + 0.0702534i
\(520\) 3.14944 5.82231i 0.138112 0.255325i
\(521\) 7.90186 13.6864i 0.346187 0.599613i −0.639382 0.768889i \(-0.720810\pi\)
0.985569 + 0.169276i \(0.0541430\pi\)
\(522\) 6.29788 0.152462i 0.275651 0.00667306i
\(523\) 1.76412i 0.0771397i 0.999256 + 0.0385698i \(0.0122802\pi\)
−0.999256 + 0.0385698i \(0.987720\pi\)
\(524\) 4.95760 + 8.58681i 0.216574 + 0.375117i
\(525\) −7.42027 0.831337i −0.323847 0.0362825i
\(526\) 9.39641 5.42502i 0.409703 0.236542i
\(527\) 10.0121 17.3414i 0.436133 0.755404i
\(528\) −4.20491 4.10435i −0.182995 0.178619i
\(529\) 16.8714 0.733539
\(530\) 12.3311 0.535627
\(531\) 9.70106 + 15.9011i 0.420990 + 0.690051i
\(532\) 4.98079 + 2.02106i 0.215945 + 0.0876241i
\(533\) −18.1112 + 0.502686i −0.784482 + 0.0217737i
\(534\) 2.49881 + 8.89375i 0.108134 + 0.384870i
\(535\) 12.2740 + 21.2593i 0.530653 + 0.919118i
\(536\) 8.59785 4.96397i 0.371370 0.214411i
\(537\) 21.4843 22.0107i 0.927116 0.949832i
\(538\) −18.1117 −0.780853
\(539\) −17.0329 16.5475i −0.733660 0.712752i
\(540\) 2.13297 9.29825i 0.0917886 0.400133i
\(541\) 18.1904 10.5022i 0.782066 0.451526i −0.0550960 0.998481i \(-0.517546\pi\)
0.837162 + 0.546955i \(0.184213\pi\)
\(542\) −8.67329 −0.372550
\(543\) −2.58409 9.19726i −0.110894 0.394692i
\(544\) 3.18506 0.136558
\(545\) −8.11861 −0.347763
\(546\) −13.5672 9.43036i −0.580621 0.403582i
\(547\) −37.9155 −1.62115 −0.810575 0.585635i \(-0.800845\pi\)
−0.810575 + 0.585635i \(0.800845\pi\)
\(548\) −3.18307 −0.135974
\(549\) 35.0314 0.848054i 1.49510 0.0361941i
\(550\) 5.52761 0.235698
\(551\) 3.69469 2.13313i 0.157399 0.0908743i
\(552\) 1.15982 + 4.12803i 0.0493653 + 0.175701i
\(553\) 16.3813 12.7589i 0.696602 0.542565i
\(554\) 18.2835 0.776792
\(555\) −1.14670 1.11928i −0.0486747 0.0475106i
\(556\) 0.0981681 0.0566774i 0.00416326 0.00240366i
\(557\) 7.64230 + 13.2369i 0.323815 + 0.560864i 0.981272 0.192628i \(-0.0617012\pi\)
−0.657457 + 0.753492i \(0.728368\pi\)
\(558\) −0.456454 18.8552i −0.0193232 0.798203i
\(559\) 3.35507 + 1.81485i 0.141904 + 0.0767598i
\(560\) 2.98478 + 3.83217i 0.126130 + 0.161939i
\(561\) 13.3929 + 13.0726i 0.565448 + 0.551926i
\(562\) −2.73779 −0.115487
\(563\) 18.7941 0.792079 0.396039 0.918234i \(-0.370384\pi\)
0.396039 + 0.918234i \(0.370384\pi\)
\(564\) 14.1065 14.4521i 0.593989 0.608543i
\(565\) −14.6690 + 25.4074i −0.617128 + 1.06890i
\(566\) −4.60044 + 2.65607i −0.193371 + 0.111643i
\(567\) −22.4719 7.87498i −0.943730 0.330718i
\(568\) −7.77030 13.4586i −0.326035 0.564709i
\(569\) 21.5237i 0.902321i −0.892443 0.451160i \(-0.851010\pi\)
0.892443 0.451160i \(-0.148990\pi\)
\(570\) −1.74748 6.21963i −0.0731941 0.260512i
\(571\) 19.8438 34.3705i 0.830438 1.43836i −0.0672531 0.997736i \(-0.521424\pi\)
0.897691 0.440625i \(-0.145243\pi\)
\(572\) 10.7587 + 5.81964i 0.449842 + 0.243331i
\(573\) 33.8664 + 8.63659i 1.41479 + 0.360799i
\(574\) 4.99890 12.3195i 0.208650 0.514206i
\(575\) −3.49326 2.01683i −0.145679 0.0841077i
\(576\) 2.56101 1.56244i 0.106709 0.0651016i
\(577\) −20.4728 + 35.4599i −0.852293 + 1.47621i 0.0268412 + 0.999640i \(0.491455\pi\)
−0.879134 + 0.476575i \(0.841878\pi\)
\(578\) 6.85540 0.285147
\(579\) −5.49597 + 5.63063i −0.228405 + 0.234001i
\(580\) 3.85528 0.160082
\(581\) −34.2742 + 4.76453i −1.42193 + 0.197666i
\(582\) −11.8967 11.6122i −0.493133 0.481339i
\(583\) 22.7857i 0.943689i
\(584\) 4.47574 7.75221i 0.185207 0.320789i
\(585\) 1.03123 + 19.8318i 0.0426362 + 0.819944i
\(586\) −2.86877 + 1.65628i −0.118508 + 0.0684205i
\(587\) −32.8994 18.9945i −1.35790 0.783986i −0.368563 0.929603i \(-0.620150\pi\)
−0.989341 + 0.145616i \(0.953483\pi\)
\(588\) 10.3353 6.33885i 0.426222 0.261410i
\(589\) −6.38636 11.0615i −0.263145 0.455781i
\(590\) 5.69957 + 9.87195i 0.234648 + 0.406422i
\(591\) 4.91665 19.2795i 0.202244 0.793052i
\(592\) 0.503913i 0.0207107i
\(593\) 13.8054 7.97057i 0.566921 0.327312i −0.188997 0.981978i \(-0.560524\pi\)
0.755919 + 0.654665i \(0.227190\pi\)
\(594\) 17.1816 + 3.94138i 0.704971 + 0.161717i
\(595\) −9.50669 12.2057i −0.389736 0.500385i
\(596\) −10.8563 + 18.8036i −0.444691 + 0.770227i
\(597\) −3.21611 11.4467i −0.131627 0.468484i
\(598\) −4.67571 7.60326i −0.191204 0.310921i
\(599\) −3.66862 2.11808i −0.149896 0.0865423i 0.423176 0.906047i \(-0.360915\pi\)
−0.573072 + 0.819505i \(0.694248\pi\)
\(600\) −0.697383 + 2.73462i −0.0284706 + 0.111641i
\(601\) −2.17316 1.25468i −0.0886451 0.0511793i 0.455022 0.890480i \(-0.349631\pi\)
−0.543667 + 0.839301i \(0.682965\pi\)
\(602\) −2.20827 + 1.71996i −0.0900022 + 0.0701004i
\(603\) −14.2633 + 26.1464i −0.580847 + 1.06476i
\(604\) −4.69698 2.71180i −0.191118 0.110342i
\(605\) 0.934474i 0.0379918i
\(606\) −11.6395 11.3612i −0.472824 0.461516i
\(607\) −37.1080 21.4243i −1.50617 0.869586i −0.999974 0.00716623i \(-0.997719\pi\)
−0.506193 0.862420i \(-0.668948\pi\)
\(608\) 1.01582 1.75945i 0.0411970 0.0713552i
\(609\) 1.07142 9.56315i 0.0434160 0.387519i
\(610\) 21.4447 0.868269
\(611\) −20.0018 + 36.9770i −0.809188 + 1.49593i
\(612\) −8.15698 + 4.97646i −0.329726 + 0.201161i
\(613\) −18.3170 + 10.5753i −0.739816 + 0.427133i −0.822003 0.569484i \(-0.807143\pi\)
0.0821861 + 0.996617i \(0.473810\pi\)
\(614\) −23.8813 −0.963773
\(615\) −15.3837 + 4.32224i −0.620329 + 0.174289i
\(616\) −7.08122 + 5.51537i −0.285310 + 0.222221i
\(617\) 17.5132 + 30.3337i 0.705053 + 1.22119i 0.966672 + 0.256017i \(0.0824102\pi\)
−0.261619 + 0.965171i \(0.584256\pi\)
\(618\) −16.1556 + 16.5515i −0.649875 + 0.665798i
\(619\) 15.4257 26.7180i 0.620010 1.07389i −0.369473 0.929241i \(-0.620462\pi\)
0.989483 0.144648i \(-0.0462048\pi\)
\(620\) 11.5423i 0.463550i
\(621\) −9.42011 8.75979i −0.378016 0.351518i
\(622\) −15.8352 + 27.4274i −0.634935 + 1.09974i
\(623\) 13.9771 1.94298i 0.559979 0.0778439i
\(624\) −4.23645 + 4.58830i −0.169594 + 0.183679i
\(625\) 7.09916 + 12.2961i 0.283967 + 0.491844i
\(626\) −12.5081 + 7.22158i −0.499926 + 0.288632i
\(627\) 11.4928 3.22906i 0.458980 0.128956i
\(628\) 18.4221 + 10.6360i 0.735124 + 0.424424i
\(629\) 1.60499i 0.0639953i
\(630\) −13.6316 5.15071i −0.543095 0.205209i
\(631\) −13.3366 + 7.69988i −0.530921 + 0.306527i −0.741391 0.671073i \(-0.765834\pi\)
0.210470 + 0.977600i \(0.432500\pi\)
\(632\) −3.92399 6.79656i −0.156088 0.270352i
\(633\) 2.25952 8.86016i 0.0898077 0.352160i
\(634\) 12.7938 + 22.1596i 0.508108 + 0.880069i
\(635\) 1.74775i 0.0693575i
\(636\) −11.2726 2.87473i −0.446987 0.113990i
\(637\) −17.0777 + 18.5836i −0.676644 + 0.736310i
\(638\) 7.12392i 0.282039i
\(639\) 40.9280 + 22.3269i 1.61909 + 0.883240i
\(640\) 1.58996 0.917964i 0.0628487 0.0362857i
\(641\) 9.30710i 0.367608i −0.982963 0.183804i \(-0.941159\pi\)
0.982963 0.183804i \(-0.0588412\pi\)
\(642\) −6.26430 22.2958i −0.247232 0.879947i
\(643\) −3.03048 5.24895i −0.119511 0.206998i 0.800063 0.599916i \(-0.204799\pi\)
−0.919574 + 0.392917i \(0.871466\pi\)
\(644\) 6.48744 0.901834i 0.255641 0.0355372i
\(645\) 3.25984 + 0.831325i 0.128356 + 0.0327334i
\(646\) −3.23545 + 5.60396i −0.127297 + 0.220485i
\(647\) −5.65052 9.78699i −0.222145 0.384766i 0.733314 0.679890i \(-0.237973\pi\)
−0.955459 + 0.295124i \(0.904639\pi\)
\(648\) −4.11758 + 8.00285i −0.161754 + 0.314382i
\(649\) −18.2417 + 10.5319i −0.716050 + 0.413412i
\(650\) −0.162995 5.87251i −0.00639318 0.230339i
\(651\) −28.6311 3.20770i −1.12214 0.125720i
\(652\) 8.67648 + 5.00937i 0.339797 + 0.196182i
\(653\) 35.9225i 1.40576i 0.711311 + 0.702878i \(0.248102\pi\)
−0.711311 + 0.702878i \(0.751898\pi\)
\(654\) 7.42172 + 1.89269i 0.290212 + 0.0740099i
\(655\) −15.7648 9.10179i −0.615981 0.355637i
\(656\) −4.35184 2.51254i −0.169911 0.0980980i
\(657\) 0.649913 + 26.8466i 0.0253555 + 1.04738i
\(658\) −18.9561 24.3378i −0.738985 0.948786i
\(659\) −14.9107 + 8.60870i −0.580839 + 0.335348i −0.761467 0.648204i \(-0.775520\pi\)
0.180628 + 0.983552i \(0.442187\pi\)
\(660\) 10.4533 + 2.66580i 0.406894 + 0.103766i
\(661\) 2.99584 + 5.18895i 0.116525 + 0.201827i 0.918388 0.395680i \(-0.129491\pi\)
−0.801863 + 0.597507i \(0.796158\pi\)
\(662\) −7.25351 4.18782i −0.281916 0.162764i
\(663\) 13.4933 14.6140i 0.524038 0.567561i
\(664\) 13.0790i 0.507564i
\(665\) −9.77452 + 1.35878i −0.379040 + 0.0526911i
\(666\) 0.787333 + 1.29053i 0.0305085 + 0.0500070i
\(667\) 2.59927 4.50206i 0.100644 0.174321i
\(668\) −3.11618 1.79913i −0.120569 0.0696103i
\(669\) 12.2395 47.9945i 0.473208 1.85557i
\(670\) −9.11349 + 15.7850i −0.352085 + 0.609829i
\(671\) 39.6262i 1.52975i
\(672\) −1.83518 4.19906i −0.0707935 0.161982i
\(673\) −16.9593 + 29.3743i −0.653732 + 1.13230i 0.328478 + 0.944512i \(0.393464\pi\)
−0.982210 + 0.187786i \(0.939869\pi\)
\(674\) 9.14343 0.352192
\(675\) −2.48667 8.09303i −0.0957120 0.311501i
\(676\) 5.86551 11.6015i 0.225597 0.446213i
\(677\) 6.91552 + 11.9780i 0.265785 + 0.460353i 0.967769 0.251840i \(-0.0810356\pi\)
−0.701984 + 0.712193i \(0.747702\pi\)
\(678\) 19.3330 19.8067i 0.742480 0.760671i
\(679\) −20.0344 + 15.6043i −0.768849 + 0.598836i
\(680\) −5.06412 + 2.92377i −0.194200 + 0.112121i
\(681\) 2.81561 + 10.0213i 0.107894 + 0.384017i
\(682\) 21.3282 0.816701
\(683\) −4.69607 −0.179690 −0.0898451 0.995956i \(-0.528637\pi\)
−0.0898451 + 0.995956i \(0.528637\pi\)
\(684\) 0.147505 + 6.09314i 0.00564000 + 0.232977i
\(685\) 5.06095 2.92194i 0.193369 0.111642i
\(686\) −7.45669 16.9528i −0.284698 0.647261i
\(687\) 17.4230 + 17.0063i 0.664728 + 0.648831i
\(688\) 0.528972 + 0.916206i 0.0201669 + 0.0349300i
\(689\) 24.2075 0.671892i 0.922231 0.0255970i
\(690\) −5.63345 5.49873i −0.214462 0.209333i
\(691\) 23.8018 0.905465 0.452732 0.891646i \(-0.350449\pi\)
0.452732 + 0.891646i \(0.350449\pi\)
\(692\) 0.476807 0.825853i 0.0181255 0.0313942i
\(693\) 9.51766 25.1889i 0.361546 0.956847i
\(694\) 31.0967i 1.18042i
\(695\) −0.104056 + 0.180230i −0.00394705 + 0.00683650i
\(696\) −3.52435 0.898778i −0.133590 0.0340681i
\(697\) 13.8609 + 8.00258i 0.525018 + 0.303119i
\(698\) −14.0331 + 24.3060i −0.531161 + 0.919997i
\(699\) −33.5907 + 34.4138i −1.27052 + 1.30165i
\(700\) 3.99457 + 1.62088i 0.150981 + 0.0612636i
\(701\) 35.3397i 1.33476i 0.744716 + 0.667382i \(0.232585\pi\)
−0.744716 + 0.667382i \(0.767415\pi\)
\(702\) 3.68066 18.3699i 0.138918 0.693327i
\(703\) 0.886611 + 0.511885i 0.0334392 + 0.0193061i
\(704\) 1.69625 + 2.93798i 0.0639297 + 0.110729i
\(705\) −9.16221 + 35.9275i −0.345069 + 1.35311i
\(706\) 24.5364 14.1661i 0.923438 0.533147i
\(707\) −19.6014 + 15.2670i −0.737186 + 0.574175i
\(708\) −2.90889 10.3533i −0.109323 0.389101i
\(709\) −10.6916 6.17279i −0.401531 0.231824i 0.285613 0.958345i \(-0.407803\pi\)
−0.687144 + 0.726521i \(0.741136\pi\)
\(710\) 24.7090 + 14.2657i 0.927310 + 0.535383i
\(711\) 20.6686 + 11.2751i 0.775133 + 0.422848i
\(712\) 5.33363i 0.199886i
\(713\) −13.4787 7.78193i −0.504781 0.291435i
\(714\) 5.84515 + 13.3743i 0.218749 + 0.500519i
\(715\) −22.4481 + 0.623059i −0.839510 + 0.0233011i
\(716\) −15.3789 + 8.87903i −0.574738 + 0.331825i
\(717\) 8.86014 2.48937i 0.330888 0.0929672i
\(718\) −10.8679 18.8238i −0.405588 0.702499i
\(719\) −1.87992 + 3.25611i −0.0701091 + 0.121433i −0.898949 0.438053i \(-0.855668\pi\)
0.828840 + 0.559486i \(0.189001\pi\)
\(720\) −2.63765 + 4.83513i −0.0982994 + 0.180195i
\(721\) 21.7097 + 27.8732i 0.808513 + 1.03805i
\(722\) −7.43622 12.8799i −0.276747 0.479341i
\(723\) 32.1119 9.02225i 1.19426 0.335541i
\(724\) 5.51564i 0.204987i
\(725\) 2.96312 1.71076i 0.110048 0.0635360i
\(726\) −0.217853 + 0.854260i −0.00808529 + 0.0317046i
\(727\) 10.4236i 0.386592i 0.981141 + 0.193296i \(0.0619177\pi\)
−0.981141 + 0.193296i \(0.938082\pi\)
\(728\) 6.06831 + 7.36041i 0.224906 + 0.272795i
\(729\) −1.95878 26.9289i −0.0725473 0.997365i
\(730\) 16.4343i 0.608260i
\(731\) −1.68481 2.91817i −0.0623148 0.107932i
\(732\) −19.6039 4.99938i −0.724580 0.184782i
\(733\) 17.7435 + 30.7327i 0.655373 + 1.13514i 0.981800 + 0.189917i \(0.0608217\pi\)
−0.326428 + 0.945222i \(0.605845\pi\)
\(734\) −13.6561 + 7.88437i −0.504057 + 0.291017i
\(735\) −10.6139 + 19.5660i −0.391501 + 0.721702i
\(736\) 2.47560i 0.0912519i
\(737\) −29.1681 16.8402i −1.07442 0.620317i
\(738\) 15.0708 0.364840i 0.554764 0.0134299i
\(739\) 5.40360 3.11977i 0.198775 0.114763i −0.397309 0.917685i \(-0.630056\pi\)
0.596084 + 0.802922i \(0.296723\pi\)
\(740\) 0.462574 + 0.801202i 0.0170046 + 0.0294528i
\(741\) −3.76943 12.1147i −0.138473 0.445045i
\(742\) −6.68155 + 16.4663i −0.245287 + 0.604497i
\(743\) −21.5450 + 37.3170i −0.790408 + 1.36903i 0.135306 + 0.990804i \(0.456798\pi\)
−0.925714 + 0.378223i \(0.876535\pi\)
\(744\) −2.69085 + 10.5515i −0.0986512 + 0.386838i
\(745\) 39.8627i 1.46046i
\(746\) −3.62253 + 6.27441i −0.132630 + 0.229723i
\(747\) −20.4351 33.4955i −0.747682 1.22554i
\(748\) −5.40264 9.35765i −0.197540 0.342150i
\(749\) −35.0393 + 4.87088i −1.28031 + 0.177978i
\(750\) −5.70215 20.2950i −0.208213 0.741070i
\(751\) −31.3887 −1.14539 −0.572695 0.819769i \(-0.694102\pi\)
−0.572695 + 0.819769i \(0.694102\pi\)
\(752\) −10.0977 + 5.82991i −0.368226 + 0.212595i
\(753\) −11.7898 11.5078i −0.429644 0.419368i
\(754\) 7.56841 0.210065i 0.275625 0.00765013i
\(755\) 9.95736 0.362385
\(756\) 11.2607 + 7.88650i 0.409547 + 0.286829i
\(757\) 6.13845 10.6321i 0.223106 0.386430i −0.732644 0.680612i \(-0.761714\pi\)
0.955749 + 0.294182i \(0.0950472\pi\)
\(758\) −4.24213 2.44920i −0.154081 0.0889588i
\(759\) 10.1607 10.4097i 0.368811 0.377848i
\(760\) 3.72995i 0.135299i
\(761\) −14.6878 8.48003i −0.532434 0.307401i 0.209573 0.977793i \(-0.432793\pi\)
−0.742007 + 0.670392i \(0.766126\pi\)
\(762\) −0.407452 + 1.59773i −0.0147604 + 0.0578796i
\(763\) 4.39905 10.8412i 0.159256 0.392478i
\(764\) −17.4751 10.0893i −0.632228 0.365017i
\(765\) 8.40107 15.4002i 0.303741 0.556795i
\(766\) −6.85462 3.95752i −0.247668 0.142991i
\(767\) 11.7269 + 19.0693i 0.423433 + 0.688554i
\(768\) −1.66749 + 0.468501i −0.0601702 + 0.0169056i
\(769\) 18.2706 31.6457i 0.658856 1.14117i −0.322056 0.946720i \(-0.604374\pi\)
0.980912 0.194451i \(-0.0622926\pi\)
\(770\) 6.19594 15.2695i 0.223286 0.550276i
\(771\) −8.77720 + 2.46606i −0.316103 + 0.0888132i
\(772\) 3.93413 2.27137i 0.141593 0.0817485i
\(773\) 0.970568i 0.0349089i −0.999848 0.0174545i \(-0.994444\pi\)
0.999848 0.0174545i \(-0.00555621\pi\)