Properties

Label 114.2.l.b.71.1
Level $114$
Weight $2$
Character 114.71
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
Defining polynomial: \(x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 71.1
Root \(-0.363139 - 1.69356i\) of defining polynomial
Character \(\chi\) \(=\) 114.71
Dual form 114.2.l.b.53.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(-1.36678 - 1.06392i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.20556 + 2.62849i) q^{5} +(1.64823 + 0.532290i) q^{6} +(1.68651 + 2.92113i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.736160 + 2.90828i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(-1.36678 - 1.06392i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.20556 + 2.62849i) q^{5} +(1.64823 + 0.532290i) q^{6} +(1.68651 + 2.92113i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.736160 + 2.90828i) q^{9} +(1.17355 - 3.22432i) q^{10} +(2.33635 + 1.34889i) q^{11} +(-1.73088 + 0.0635395i) q^{12} +(-5.05419 + 0.891189i) q^{13} +(-2.58389 - 2.16814i) q^{14} +(5.81100 - 1.24602i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-1.44531 - 3.97095i) q^{17} +(-1.68645 - 2.48110i) q^{18} +(-2.73048 + 3.39772i) q^{19} +3.43124i q^{20} +(0.802750 - 5.78684i) q^{21} +(-2.65680 - 0.468466i) q^{22} +(1.69398 + 2.01881i) q^{23} +(1.60477 - 0.651705i) q^{24} +(-1.17620 - 6.67054i) q^{25} +(4.44458 - 2.56608i) q^{26} +(2.08800 - 4.75818i) q^{27} +(3.16961 + 1.15364i) q^{28} +(3.54249 + 1.28936i) q^{29} +(-5.03439 + 3.15836i) q^{30} +(4.78254 - 2.76120i) q^{31} +(0.173648 + 0.984808i) q^{32} +(-1.75816 - 4.32933i) q^{33} +(2.71629 + 3.23715i) q^{34} +(-11.3979 - 2.00975i) q^{35} +(2.43333 + 1.75467i) q^{36} +5.17636i q^{37} +(1.40372 - 4.12669i) q^{38} +(7.85610 + 4.15918i) q^{39} +(-1.17355 - 3.22432i) q^{40} +(0.289735 - 1.64317i) q^{41} +(1.22488 + 5.71241i) q^{42} +(1.85806 + 1.55910i) q^{43} +(2.65680 - 0.468466i) q^{44} +(-9.26801 - 4.47940i) q^{45} +(-2.28230 - 1.31768i) q^{46} +(0.0440069 - 0.120908i) q^{47} +(-1.28509 + 1.16127i) q^{48} +(-2.18866 + 3.79087i) q^{49} +(3.38672 + 5.86597i) q^{50} +(-2.24935 + 6.96509i) q^{51} +(-3.29889 + 3.93146i) q^{52} +(-6.53342 + 5.48219i) q^{53} +(-0.334684 + 5.18536i) q^{54} +(-8.69853 + 3.16600i) q^{55} -3.37303 q^{56} +(7.34685 - 1.73892i) q^{57} -3.76983 q^{58} +(3.87665 - 1.41099i) q^{59} +(3.65056 - 4.68975i) q^{60} +(3.53369 - 2.96512i) q^{61} +(-3.54973 + 4.23041i) q^{62} +(-7.25390 + 7.05526i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(8.80484 - 15.2504i) q^{65} +(3.13285 + 3.46691i) q^{66} +(3.81629 - 10.4852i) q^{67} +(-3.65965 - 2.11290i) q^{68} +(-0.167450 - 4.56152i) q^{69} +(11.3979 - 2.00975i) q^{70} +(9.91131 + 8.31658i) q^{71} +(-2.88672 - 0.816605i) q^{72} +(-0.414656 + 2.35163i) q^{73} +(-1.77042 - 4.86419i) q^{74} +(-5.48930 + 10.3685i) q^{75} +(0.0923461 + 4.35792i) q^{76} +9.09972i q^{77} +(-8.80484 - 1.22141i) q^{78} +(2.22246 + 0.391880i) q^{79} +(2.20556 + 2.62849i) q^{80} +(-7.91614 + 4.28191i) q^{81} +(0.289735 + 1.64317i) q^{82} +(6.27861 - 3.62496i) q^{83} +(-3.10477 - 4.94898i) q^{84} +(13.6253 + 4.95920i) q^{85} +(-2.27924 - 0.829577i) q^{86} +(-3.47002 - 5.53118i) q^{87} +(-2.33635 + 1.34889i) q^{88} +(0.209662 + 1.18905i) q^{89} +(10.2411 + 1.03941i) q^{90} +(-11.1272 - 13.2609i) q^{91} +(2.59533 + 0.457627i) q^{92} +(-9.47436 - 1.31428i) q^{93} +0.128667i q^{94} +(-2.90863 - 14.6709i) q^{95} +(0.810416 - 1.53076i) q^{96} +(3.13271 + 8.60706i) q^{97} +(0.760113 - 4.31081i) q^{98} +(-2.20303 + 7.78777i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} + O(q^{10}) \) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} - 12q^{13} - 12q^{14} + 18q^{15} + 6q^{17} - 6q^{19} - 24q^{22} + 3q^{24} - 18q^{25} + 18q^{26} - 6q^{27} + 6q^{28} - 6q^{29} - 24q^{33} - 6q^{34} - 24q^{35} + 3q^{38} + 6q^{39} + 3q^{41} - 6q^{43} + 24q^{44} - 54q^{45} + 18q^{46} + 30q^{47} + 21q^{49} + 3q^{50} + 42q^{51} - 6q^{52} - 60q^{53} + 54q^{54} + 30q^{55} + 12q^{57} + 12q^{58} + 3q^{59} + 24q^{60} + 54q^{61} + 6q^{62} - 18q^{63} - 9q^{64} + 24q^{65} - 27q^{66} - 15q^{67} - 27q^{68} + 30q^{69} + 24q^{70} + 36q^{71} + 6q^{72} - 42q^{73} + 6q^{74} - 24q^{78} - 6q^{79} - 3q^{81} + 3q^{82} + 36q^{83} - 30q^{84} - 6q^{86} - 60q^{89} - 18q^{91} - 66q^{93} + 6q^{95} + 9q^{97} + 12q^{98} - 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) −1.36678 1.06392i −0.789109 0.614253i
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −2.20556 + 2.62849i −0.986357 + 1.17549i −0.00187711 + 0.999998i \(0.500598\pi\)
−0.984480 + 0.175496i \(0.943847\pi\)
\(6\) 1.64823 + 0.532290i 0.672888 + 0.217306i
\(7\) 1.68651 + 2.92113i 0.637442 + 1.10408i 0.985992 + 0.166792i \(0.0533409\pi\)
−0.348550 + 0.937290i \(0.613326\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 0.736160 + 2.90828i 0.245387 + 0.969425i
\(10\) 1.17355 3.22432i 0.371111 1.01962i
\(11\) 2.33635 + 1.34889i 0.704437 + 0.406707i 0.808998 0.587811i \(-0.200010\pi\)
−0.104561 + 0.994519i \(0.533344\pi\)
\(12\) −1.73088 + 0.0635395i −0.499663 + 0.0183423i
\(13\) −5.05419 + 0.891189i −1.40178 + 0.247171i −0.822874 0.568224i \(-0.807631\pi\)
−0.578905 + 0.815395i \(0.696520\pi\)
\(14\) −2.58389 2.16814i −0.690573 0.579460i
\(15\) 5.81100 1.24602i 1.50039 0.321721i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −1.44531 3.97095i −0.350538 0.963096i −0.982198 0.187850i \(-0.939848\pi\)
0.631659 0.775246i \(-0.282374\pi\)
\(18\) −1.68645 2.48110i −0.397501 0.584802i
\(19\) −2.73048 + 3.39772i −0.626414 + 0.779490i
\(20\) 3.43124i 0.767250i
\(21\) 0.802750 5.78684i 0.175174 1.26279i
\(22\) −2.65680 0.468466i −0.566433 0.0998773i
\(23\) 1.69398 + 2.01881i 0.353220 + 0.420951i 0.913172 0.407574i \(-0.133625\pi\)
−0.559952 + 0.828525i \(0.689181\pi\)
\(24\) 1.60477 0.651705i 0.327572 0.133029i
\(25\) −1.17620 6.67054i −0.235239 1.33411i
\(26\) 4.44458 2.56608i 0.871653 0.503249i
\(27\) 2.08800 4.75818i 0.401836 0.915712i
\(28\) 3.16961 + 1.15364i 0.599000 + 0.218018i
\(29\) 3.54249 + 1.28936i 0.657823 + 0.239428i 0.649296 0.760536i \(-0.275064\pi\)
0.00852691 + 0.999964i \(0.497286\pi\)
\(30\) −5.03439 + 3.15836i −0.919150 + 0.576634i
\(31\) 4.78254 2.76120i 0.858970 0.495927i −0.00469717 0.999989i \(-0.501495\pi\)
0.863667 + 0.504062i \(0.168162\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) −1.75816 4.32933i −0.306057 0.753639i
\(34\) 2.71629 + 3.23715i 0.465840 + 0.555166i
\(35\) −11.3979 2.00975i −1.92659 0.339710i
\(36\) 2.43333 + 1.75467i 0.405556 + 0.292446i
\(37\) 5.17636i 0.850989i 0.904961 + 0.425494i \(0.139900\pi\)
−0.904961 + 0.425494i \(0.860100\pi\)
\(38\) 1.40372 4.12669i 0.227713 0.669438i
\(39\) 7.85610 + 4.15918i 1.25798 + 0.666002i
\(40\) −1.17355 3.22432i −0.185555 0.509809i
\(41\) 0.289735 1.64317i 0.0452490 0.256620i −0.953789 0.300478i \(-0.902854\pi\)
0.999038 + 0.0438581i \(0.0139649\pi\)
\(42\) 1.22488 + 5.71241i 0.189003 + 0.881444i
\(43\) 1.85806 + 1.55910i 0.283351 + 0.237760i 0.773374 0.633950i \(-0.218567\pi\)
−0.490023 + 0.871709i \(0.663012\pi\)
\(44\) 2.65680 0.468466i 0.400528 0.0706240i
\(45\) −9.26801 4.47940i −1.38159 0.667749i
\(46\) −2.28230 1.31768i −0.336506 0.194282i
\(47\) 0.0440069 0.120908i 0.00641906 0.0176362i −0.936442 0.350823i \(-0.885902\pi\)
0.942861 + 0.333187i \(0.108124\pi\)
\(48\) −1.28509 + 1.16127i −0.185487 + 0.167614i
\(49\) −2.18866 + 3.79087i −0.312665 + 0.541552i
\(50\) 3.38672 + 5.86597i 0.478955 + 0.829574i
\(51\) −2.24935 + 6.96509i −0.314972 + 0.975307i
\(52\) −3.29889 + 3.93146i −0.457473 + 0.545195i
\(53\) −6.53342 + 5.48219i −0.897434 + 0.753036i −0.969687 0.244350i \(-0.921425\pi\)
0.0722533 + 0.997386i \(0.476981\pi\)
\(54\) −0.334684 + 5.18536i −0.0455448 + 0.705638i
\(55\) −8.69853 + 3.16600i −1.17291 + 0.426904i
\(56\) −3.37303 −0.450740
\(57\) 7.34685 1.73892i 0.973113 0.230326i
\(58\) −3.76983 −0.495004
\(59\) 3.87665 1.41099i 0.504697 0.183695i −0.0771085 0.997023i \(-0.524569\pi\)
0.581805 + 0.813328i \(0.302347\pi\)
\(60\) 3.65056 4.68975i 0.471285 0.605444i
\(61\) 3.53369 2.96512i 0.452443 0.379645i −0.387898 0.921702i \(-0.626799\pi\)
0.840342 + 0.542057i \(0.182354\pi\)
\(62\) −3.54973 + 4.23041i −0.450817 + 0.537262i
\(63\) −7.25390 + 7.05526i −0.913906 + 0.888880i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 8.80484 15.2504i 1.09211 1.89158i
\(66\) 3.13285 + 3.46691i 0.385627 + 0.426747i
\(67\) 3.81629 10.4852i 0.466234 1.28097i −0.454490 0.890752i \(-0.650179\pi\)
0.920724 0.390215i \(-0.127599\pi\)
\(68\) −3.65965 2.11290i −0.443797 0.256226i
\(69\) −0.167450 4.56152i −0.0201586 0.549143i
\(70\) 11.3979 2.00975i 1.36230 0.240211i
\(71\) 9.91131 + 8.31658i 1.17626 + 0.986996i 0.999996 + 0.00265261i \(0.000844352\pi\)
0.176260 + 0.984344i \(0.443600\pi\)
\(72\) −2.88672 0.816605i −0.340203 0.0962378i
\(73\) −0.414656 + 2.35163i −0.0485318 + 0.275238i −0.999411 0.0343255i \(-0.989072\pi\)
0.950879 + 0.309563i \(0.100183\pi\)
\(74\) −1.77042 4.86419i −0.205807 0.565450i
\(75\) −5.48930 + 10.3685i −0.633850 + 1.19725i
\(76\) 0.0923461 + 4.35792i 0.0105928 + 0.499888i
\(77\) 9.09972i 1.03701i
\(78\) −8.80484 1.22141i −0.996952 0.138297i
\(79\) 2.22246 + 0.391880i 0.250046 + 0.0440899i 0.297266 0.954795i \(-0.403925\pi\)
−0.0472200 + 0.998885i \(0.515036\pi\)
\(80\) 2.20556 + 2.62849i 0.246589 + 0.293874i
\(81\) −7.91614 + 4.28191i −0.879571 + 0.475768i
\(82\) 0.289735 + 1.64317i 0.0319959 + 0.181458i
\(83\) 6.27861 3.62496i 0.689167 0.397891i −0.114133 0.993465i \(-0.536409\pi\)
0.803300 + 0.595575i \(0.203076\pi\)
\(84\) −3.10477 4.94898i −0.338758 0.539977i
\(85\) 13.6253 + 4.95920i 1.47787 + 0.537901i
\(86\) −2.27924 0.829577i −0.245777 0.0894556i
\(87\) −3.47002 5.53118i −0.372025 0.593005i
\(88\) −2.33635 + 1.34889i −0.249056 + 0.143793i
\(89\) 0.209662 + 1.18905i 0.0222241 + 0.126039i 0.993901 0.110273i \(-0.0351724\pi\)
−0.971677 + 0.236312i \(0.924061\pi\)
\(90\) 10.2411 + 1.03941i 1.07951 + 0.109563i
\(91\) −11.1272 13.2609i −1.16645 1.39012i
\(92\) 2.59533 + 0.457627i 0.270582 + 0.0477109i
\(93\) −9.47436 1.31428i −0.982446 0.136285i
\(94\) 0.128667i 0.0132710i
\(95\) −2.90863 14.6709i −0.298419 1.50520i
\(96\) 0.810416 1.53076i 0.0827127 0.156233i
\(97\) 3.13271 + 8.60706i 0.318079 + 0.873914i 0.990959 + 0.134163i \(0.0428346\pi\)
−0.672880 + 0.739751i \(0.734943\pi\)
\(98\) 0.760113 4.31081i 0.0767830 0.435458i
\(99\) −2.20303 + 7.78777i −0.221413 + 0.782700i
\(100\) −5.18876 4.35388i −0.518876 0.435388i
\(101\) 5.56915 0.981991i 0.554151 0.0977117i 0.110442 0.993883i \(-0.464773\pi\)
0.443709 + 0.896171i \(0.353662\pi\)
\(102\) −0.268505 7.31436i −0.0265859 0.724230i
\(103\) 3.35680 + 1.93805i 0.330755 + 0.190961i 0.656176 0.754608i \(-0.272173\pi\)
−0.325421 + 0.945569i \(0.605506\pi\)
\(104\) 1.75530 4.82265i 0.172121 0.472900i
\(105\) 13.4401 + 14.8733i 1.31162 + 1.45148i
\(106\) 4.26438 7.38613i 0.414194 0.717404i
\(107\) −3.48940 6.04382i −0.337333 0.584278i 0.646597 0.762832i \(-0.276191\pi\)
−0.983930 + 0.178554i \(0.942858\pi\)
\(108\) −1.45900 4.98712i −0.140392 0.479885i
\(109\) 3.68457 4.39110i 0.352918 0.420591i −0.560155 0.828388i \(-0.689258\pi\)
0.913073 + 0.407797i \(0.133703\pi\)
\(110\) 7.09110 5.95014i 0.676110 0.567324i
\(111\) 5.50722 7.07493i 0.522722 0.671523i
\(112\) 3.16961 1.15364i 0.299500 0.109009i
\(113\) −16.8907 −1.58895 −0.794474 0.607298i \(-0.792253\pi\)
−0.794474 + 0.607298i \(0.792253\pi\)
\(114\) −6.30903 + 4.14682i −0.590895 + 0.388386i
\(115\) −9.04260 −0.843227
\(116\) 3.54249 1.28936i 0.328912 0.119714i
\(117\) −6.31251 14.0429i −0.583592 1.29827i
\(118\) −3.16027 + 2.65178i −0.290927 + 0.244117i
\(119\) 9.16212 10.9190i 0.839890 1.00094i
\(120\) −1.82642 + 5.65549i −0.166728 + 0.516273i
\(121\) −1.86097 3.22329i −0.169179 0.293026i
\(122\) −2.30645 + 3.99490i −0.208817 + 0.361681i
\(123\) −2.14420 + 1.93759i −0.193336 + 0.174707i
\(124\) 1.88877 5.18936i 0.169617 0.466019i
\(125\) 5.26986 + 3.04256i 0.471351 + 0.272134i
\(126\) 4.40340 9.11076i 0.392286 0.811651i
\(127\) 5.44679 0.960416i 0.483324 0.0852231i 0.0733234 0.997308i \(-0.476639\pi\)
0.410001 + 0.912085i \(0.365528\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) −0.880802 4.10776i −0.0775503 0.361668i
\(130\) −3.05789 + 17.3422i −0.268195 + 1.52101i
\(131\) 5.04199 + 13.8528i 0.440521 + 1.21032i 0.939150 + 0.343506i \(0.111615\pi\)
−0.498629 + 0.866815i \(0.666163\pi\)
\(132\) −4.12967 2.18633i −0.359442 0.190296i
\(133\) −14.5302 2.24577i −1.25992 0.194733i
\(134\) 11.1581i 0.963911i
\(135\) 7.90159 + 15.9827i 0.680061 + 1.37557i
\(136\) 4.16160 + 0.733802i 0.356854 + 0.0629230i
\(137\) 12.8171 + 15.2748i 1.09503 + 1.30501i 0.948840 + 0.315756i \(0.102258\pi\)
0.146195 + 0.989256i \(0.453297\pi\)
\(138\) 1.71748 + 4.22916i 0.146202 + 0.360010i
\(139\) −0.280984 1.59354i −0.0238328 0.135162i 0.970570 0.240820i \(-0.0774164\pi\)
−0.994403 + 0.105658i \(0.966305\pi\)
\(140\) −10.0231 + 5.78684i −0.847107 + 0.489077i
\(141\) −0.188784 + 0.118434i −0.0158984 + 0.00997398i
\(142\) −12.1580 4.42516i −1.02028 0.371351i
\(143\) −13.0105 4.73543i −1.08799 0.395997i
\(144\) 2.99193 0.219959i 0.249327 0.0183299i
\(145\) −11.2022 + 6.46761i −0.930295 + 0.537106i
\(146\) −0.414656 2.35163i −0.0343172 0.194622i
\(147\) 7.02457 2.85272i 0.579377 0.235288i
\(148\) 3.32730 + 3.96532i 0.273502 + 0.325948i
\(149\) −23.7332 4.18480i −1.94430 0.342832i −0.999902 0.0140170i \(-0.995538\pi\)
−0.944394 0.328815i \(-0.893351\pi\)
\(150\) 1.61202 11.6207i 0.131621 0.948824i
\(151\) 14.7053i 1.19670i 0.801235 + 0.598349i \(0.204176\pi\)
−0.801235 + 0.598349i \(0.795824\pi\)
\(152\) −1.57727 4.06352i −0.127934 0.329595i
\(153\) 10.4846 7.12660i 0.847633 0.576152i
\(154\) −3.11229 8.55094i −0.250795 0.689054i
\(155\) −3.29041 + 18.6609i −0.264292 + 1.49888i
\(156\) 8.69159 1.86369i 0.695884 0.149214i
\(157\) 11.7536 + 9.86243i 0.938038 + 0.787108i 0.977243 0.212124i \(-0.0680380\pi\)
−0.0392046 + 0.999231i \(0.512482\pi\)
\(158\) −2.22246 + 0.391880i −0.176810 + 0.0311763i
\(159\) 14.7623 0.541913i 1.17073 0.0429765i
\(160\) −2.97155 1.71562i −0.234921 0.135632i
\(161\) −3.04028 + 8.35309i −0.239607 + 0.658316i
\(162\) 5.97424 6.73116i 0.469380 0.528850i
\(163\) 5.96235 10.3271i 0.467007 0.808880i −0.532283 0.846567i \(-0.678666\pi\)
0.999290 + 0.0376868i \(0.0119989\pi\)
\(164\) −0.834259 1.44498i −0.0651447 0.112834i
\(165\) 15.2573 + 4.92729i 1.18778 + 0.383589i
\(166\) −4.66016 + 5.55376i −0.361698 + 0.431055i
\(167\) −1.37759 + 1.15593i −0.106601 + 0.0894489i −0.694530 0.719463i \(-0.744388\pi\)
0.587929 + 0.808912i \(0.299943\pi\)
\(168\) 4.61018 + 3.58862i 0.355683 + 0.276868i
\(169\) 12.5346 4.56221i 0.964198 0.350939i
\(170\) −14.4997 −1.11208
\(171\) −11.8916 5.43971i −0.909371 0.415985i
\(172\) 2.42552 0.184944
\(173\) 6.36766 2.31764i 0.484124 0.176207i −0.0884156 0.996084i \(-0.528180\pi\)
0.572540 + 0.819877i \(0.305958\pi\)
\(174\) 5.15252 + 4.01079i 0.390612 + 0.304057i
\(175\) 17.5018 14.6858i 1.32301 1.11014i
\(176\) 1.73411 2.06663i 0.130713 0.155778i
\(177\) −6.79969 2.19593i −0.511096 0.165056i
\(178\) −0.603697 1.04563i −0.0452490 0.0783735i
\(179\) −7.17879 + 12.4340i −0.536568 + 0.929363i 0.462518 + 0.886610i \(0.346946\pi\)
−0.999086 + 0.0427531i \(0.986387\pi\)
\(180\) −9.97901 + 2.52594i −0.743791 + 0.188273i
\(181\) −4.09139 + 11.2410i −0.304111 + 0.835537i 0.689664 + 0.724129i \(0.257758\pi\)
−0.993775 + 0.111408i \(0.964464\pi\)
\(182\) 14.9917 + 8.65545i 1.11126 + 0.641585i
\(183\) −7.98441 + 0.293102i −0.590225 + 0.0216667i
\(184\) −2.59533 + 0.457627i −0.191330 + 0.0337367i
\(185\) −13.6060 11.4168i −1.00033 0.839379i
\(186\) 9.35250 2.00540i 0.685759 0.147043i
\(187\) 1.97964 11.2271i 0.144766 0.821008i
\(188\) −0.0440069 0.120908i −0.00320953 0.00881811i
\(189\) 17.4207 1.92542i 1.26717 0.140054i
\(190\) 7.75096 + 12.7913i 0.562314 + 0.927980i
\(191\) 10.1652i 0.735526i −0.929919 0.367763i \(-0.880124\pi\)
0.929919 0.367763i \(-0.119876\pi\)
\(192\) −0.237991 + 1.71562i −0.0171755 + 0.123814i
\(193\) −12.3371 2.17537i −0.888046 0.156587i −0.289027 0.957321i \(-0.593332\pi\)
−0.599019 + 0.800734i \(0.704443\pi\)
\(194\) −5.88758 7.01654i −0.422703 0.503758i
\(195\) −28.2595 + 11.4763i −2.02370 + 0.821836i
\(196\) 0.760113 + 4.31081i 0.0542938 + 0.307915i
\(197\) 19.9041 11.4916i 1.41811 0.818744i 0.421974 0.906608i \(-0.361338\pi\)
0.996132 + 0.0878643i \(0.0280042\pi\)
\(198\) −0.593403 8.07159i −0.0421713 0.573623i
\(199\) −23.8117 8.66676i −1.68797 0.614370i −0.693601 0.720360i \(-0.743977\pi\)
−0.994367 + 0.105990i \(0.966199\pi\)
\(200\) 6.36495 + 2.31665i 0.450070 + 0.163812i
\(201\) −16.3714 + 10.2707i −1.15475 + 0.724437i
\(202\) −4.89743 + 2.82753i −0.344582 + 0.198944i
\(203\) 2.20807 + 12.5226i 0.154976 + 0.878913i
\(204\) 2.75397 + 6.78142i 0.192817 + 0.474794i
\(205\) 3.68002 + 4.38567i 0.257024 + 0.306309i
\(206\) −3.81721 0.673077i −0.265957 0.0468955i
\(207\) −4.62422 + 6.41274i −0.321405 + 0.445716i
\(208\) 5.13216i 0.355851i
\(209\) −10.9625 + 4.25515i −0.758294 + 0.294335i
\(210\) −17.7165 9.37949i −1.22256 0.647247i
\(211\) −4.07273 11.1897i −0.280378 0.770333i −0.997317 0.0731972i \(-0.976680\pi\)
0.716939 0.697136i \(-0.245542\pi\)
\(212\) −1.48101 + 8.39920i −0.101716 + 0.576859i
\(213\) −4.69840 21.9117i −0.321929 1.50137i
\(214\) 5.34607 + 4.48588i 0.365450 + 0.306649i
\(215\) −8.19612 + 1.44520i −0.558971 + 0.0985616i
\(216\) 3.07670 + 4.18735i 0.209343 + 0.284913i
\(217\) 16.1316 + 9.31361i 1.09509 + 0.632249i
\(218\) −1.96052 + 5.38648i −0.132783 + 0.364818i
\(219\) 3.06868 2.77300i 0.207362 0.187382i
\(220\) −4.62839 + 8.01660i −0.312046 + 0.540479i
\(221\) 10.8437 + 18.7819i 0.729427 + 1.26341i
\(222\) −2.75533 + 8.53184i −0.184925 + 0.572620i
\(223\) 8.14222 9.70352i 0.545243 0.649796i −0.421111 0.907009i \(-0.638360\pi\)
0.966355 + 0.257213i \(0.0828043\pi\)
\(224\) −2.58389 + 2.16814i −0.172643 + 0.144865i
\(225\) 18.5339 8.33128i 1.23559 0.555419i
\(226\) 15.8721 5.77698i 1.05580 0.384279i
\(227\) −3.77953 −0.250857 −0.125428 0.992103i \(-0.540030\pi\)
−0.125428 + 0.992103i \(0.540030\pi\)
\(228\) 4.51025 6.05456i 0.298699 0.400973i
\(229\) 15.3222 1.01252 0.506259 0.862381i \(-0.331028\pi\)
0.506259 + 0.862381i \(0.331028\pi\)
\(230\) 8.49726 3.09275i 0.560293 0.203930i
\(231\) 9.68135 12.4373i 0.636986 0.818313i
\(232\) −2.88786 + 2.42320i −0.189597 + 0.159091i
\(233\) 15.6260 18.6223i 1.02369 1.21999i 0.0484572 0.998825i \(-0.484570\pi\)
0.975236 0.221165i \(-0.0709860\pi\)
\(234\) 10.7348 + 11.0370i 0.701755 + 0.721512i
\(235\) 0.220745 + 0.382341i 0.0143998 + 0.0249412i
\(236\) 2.06272 3.57274i 0.134272 0.232566i
\(237\) −2.62068 2.90013i −0.170232 0.188384i
\(238\) −4.87506 + 13.3941i −0.316003 + 0.868212i
\(239\) −11.5689 6.67933i −0.748332 0.432050i 0.0767587 0.997050i \(-0.475543\pi\)
−0.825091 + 0.565000i \(0.808876\pi\)
\(240\) −0.218019 5.93909i −0.0140731 0.383367i
\(241\) −21.6352 + 3.81487i −1.39365 + 0.245737i −0.819530 0.573037i \(-0.805765\pi\)
−0.574116 + 0.818774i \(0.694654\pi\)
\(242\) 2.85116 + 2.39241i 0.183280 + 0.153790i
\(243\) 15.3752 + 2.56970i 0.986319 + 0.164846i
\(244\) 0.801023 4.54283i 0.0512803 0.290825i
\(245\) −5.13702 14.1138i −0.328192 0.901700i
\(246\) 1.35219 2.55410i 0.0862126 0.162843i
\(247\) 10.7723 19.6061i 0.685427 1.24751i
\(248\) 5.52241i 0.350673i
\(249\) −12.4381 1.72541i −0.788234 0.109344i
\(250\) −5.99267 1.05667i −0.379009 0.0668296i
\(251\) −4.35873 5.19453i −0.275121 0.327876i 0.610737 0.791834i \(-0.290873\pi\)
−0.885857 + 0.463958i \(0.846429\pi\)
\(252\) −1.02177 + 10.0674i −0.0643658 + 0.634184i
\(253\) 1.23458 + 7.00166i 0.0776175 + 0.440191i
\(254\) −4.78983 + 2.76541i −0.300540 + 0.173517i
\(255\) −13.3466 21.2743i −0.835794 1.33225i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 16.7251 + 6.08743i 1.04328 + 0.379724i 0.806123 0.591747i \(-0.201562\pi\)
0.237158 + 0.971471i \(0.423784\pi\)
\(258\) 2.23262 + 3.55878i 0.138997 + 0.221560i
\(259\) −15.1208 + 8.73000i −0.939561 + 0.542456i
\(260\) −3.05789 17.3422i −0.189642 1.07551i
\(261\) −1.14198 + 11.2517i −0.0706866 + 0.696463i
\(262\) −9.47585 11.2929i −0.585420 0.697676i
\(263\) 3.78041 + 0.666587i 0.233110 + 0.0411035i 0.288983 0.957334i \(-0.406683\pi\)
−0.0558728 + 0.998438i \(0.517794\pi\)
\(264\) 4.62839 + 0.642049i 0.284858 + 0.0395154i
\(265\) 29.2643i 1.79769i
\(266\) 14.4220 2.85928i 0.884268 0.175313i
\(267\) 0.978490 1.84823i 0.0598826 0.113110i
\(268\) −3.81629 10.4852i −0.233117 0.640483i
\(269\) 0.457985 2.59736i 0.0279239 0.158364i −0.967657 0.252268i \(-0.918824\pi\)
0.995581 + 0.0939040i \(0.0299347\pi\)
\(270\) −12.8915 12.3164i −0.784551 0.749549i
\(271\) 10.7222 + 8.99702i 0.651329 + 0.546530i 0.907474 0.420108i \(-0.138008\pi\)
−0.256145 + 0.966638i \(0.582452\pi\)
\(272\) −4.16160 + 0.733802i −0.252334 + 0.0444933i
\(273\) 1.09993 + 29.9632i 0.0665705 + 1.81345i
\(274\) −17.2684 9.96990i −1.04322 0.602304i
\(275\) 6.24984 17.1713i 0.376880 1.03547i
\(276\) −3.06036 3.38669i −0.184212 0.203855i
\(277\) −0.166629 + 0.288609i −0.0100117 + 0.0173408i −0.870988 0.491305i \(-0.836520\pi\)
0.860976 + 0.508645i \(0.169854\pi\)
\(278\) 0.809062 + 1.40134i 0.0485243 + 0.0840466i
\(279\) 11.5511 + 11.8763i 0.691544 + 0.711014i
\(280\) 7.43942 8.86596i 0.444590 0.529842i
\(281\) 1.92247 1.61315i 0.114685 0.0962323i −0.583642 0.812011i \(-0.698373\pi\)
0.698327 + 0.715779i \(0.253928\pi\)
\(282\) 0.136892 0.175860i 0.00815177 0.0104723i
\(283\) −24.7578 + 9.01110i −1.47170 + 0.535655i −0.948561 0.316594i \(-0.897461\pi\)
−0.523138 + 0.852248i \(0.675239\pi\)
\(284\) 12.9383 0.767747
\(285\) −11.6332 + 23.1464i −0.689090 + 1.37107i
\(286\) 13.8455 0.818700
\(287\) 5.28855 1.92487i 0.312173 0.113622i
\(288\) −2.73626 + 1.22999i −0.161236 + 0.0724780i
\(289\) −0.656761 + 0.551088i −0.0386330 + 0.0324169i
\(290\) 8.31460 9.90896i 0.488250 0.581874i
\(291\) 4.87548 15.0969i 0.285806 0.884995i
\(292\) 1.19395 + 2.06799i 0.0698709 + 0.121020i
\(293\) −6.53329 + 11.3160i −0.381679 + 0.661087i −0.991302 0.131604i \(-0.957987\pi\)
0.609624 + 0.792691i \(0.291321\pi\)
\(294\) −5.62525 + 5.08322i −0.328071 + 0.296460i
\(295\) −4.84144 + 13.3017i −0.281879 + 0.774457i
\(296\) −4.48286 2.58818i −0.260561 0.150435i
\(297\) 11.2966 8.30030i 0.655495 0.481632i
\(298\) 23.7332 4.18480i 1.37482 0.242419i
\(299\) −10.3608 8.69378i −0.599183 0.502775i
\(300\) 2.45970 + 11.4712i 0.142011 + 0.662290i
\(301\) −1.42068 + 8.05706i −0.0818864 + 0.464401i
\(302\) −5.02950 13.8184i −0.289415 0.795162i
\(303\) −8.65654 4.58295i −0.497305 0.263284i
\(304\) 2.87196 + 3.27900i 0.164718 + 0.188064i
\(305\) 15.8280i 0.906310i
\(306\) −7.41489 + 10.2828i −0.423881 + 0.587827i
\(307\) 7.06477 + 1.24571i 0.403208 + 0.0710964i 0.371575 0.928403i \(-0.378818\pi\)
0.0316333 + 0.999500i \(0.489929\pi\)
\(308\) 5.84919 + 6.97079i 0.333288 + 0.397198i
\(309\) −2.52607 6.22023i −0.143703 0.353857i
\(310\) −3.29041 18.6609i −0.186883 1.05987i
\(311\) −9.96292 + 5.75210i −0.564945 + 0.326171i −0.755128 0.655577i \(-0.772425\pi\)
0.190183 + 0.981749i \(0.439092\pi\)
\(312\) −7.53000 + 4.72399i −0.426303 + 0.267443i
\(313\) 16.6644 + 6.06533i 0.941925 + 0.342833i 0.766926 0.641736i \(-0.221785\pi\)
0.174999 + 0.984569i \(0.444008\pi\)
\(314\) −14.4179 5.24769i −0.813650 0.296144i
\(315\) −2.54574 34.6276i −0.143436 1.95104i
\(316\) 1.95440 1.12837i 0.109944 0.0634759i
\(317\) −5.91797 33.5625i −0.332386 1.88506i −0.451653 0.892194i \(-0.649165\pi\)
0.119267 0.992862i \(-0.461946\pi\)
\(318\) −13.6867 + 5.55824i −0.767512 + 0.311691i
\(319\) 6.53729 + 7.79084i 0.366018 + 0.436203i
\(320\) 3.37912 + 0.595829i 0.188898 + 0.0333079i
\(321\) −1.66089 + 11.9730i −0.0927019 + 0.668267i
\(322\) 8.88918i 0.495374i
\(323\) 17.4385 + 5.93183i 0.970307 + 0.330056i
\(324\) −3.31175 + 8.36853i −0.183986 + 0.464918i
\(325\) 11.8894 + 32.6659i 0.659507 + 1.81198i
\(326\) −2.07070 + 11.7435i −0.114686 + 0.650414i
\(327\) −9.70775 + 2.08158i −0.536840 + 0.115111i
\(328\) 1.27816 + 1.07250i 0.0705745 + 0.0592190i
\(329\) 0.427405 0.0753631i 0.0235636 0.00415490i
\(330\) −16.0224 + 0.588171i −0.882005 + 0.0323777i
\(331\) 18.0961 + 10.4478i 0.994652 + 0.574263i 0.906662 0.421858i \(-0.138622\pi\)
0.0879907 + 0.996121i \(0.471955\pi\)
\(332\) 2.47962 6.81269i 0.136087 0.373895i
\(333\) −15.0543 + 3.81063i −0.824970 + 0.208821i
\(334\) 0.899158 1.55739i 0.0491997 0.0852164i
\(335\) 19.1430 + 33.1567i 1.04590 + 1.81155i
\(336\) −5.55953 1.79543i −0.303297 0.0979487i
\(337\) −19.1366 + 22.8061i −1.04244 + 1.24233i −0.0729092 + 0.997339i \(0.523228\pi\)
−0.969526 + 0.244988i \(0.921216\pi\)
\(338\) −10.2183 + 8.57416i −0.555801 + 0.466373i
\(339\) 23.0859 + 17.9704i 1.25385 + 0.976016i
\(340\) 13.6253 4.95920i 0.738935 0.268950i
\(341\) 14.8983 0.806788
\(342\) 13.0349 + 1.04450i 0.704847 + 0.0564802i
\(343\) 8.84639 0.477660
\(344\) −2.27924 + 0.829577i −0.122889 + 0.0447278i
\(345\) 12.3592 + 9.62058i 0.665398 + 0.517955i
\(346\) −5.19097 + 4.35574i −0.279068 + 0.234166i
\(347\) 3.49226 4.16191i 0.187474 0.223423i −0.664118 0.747628i \(-0.731193\pi\)
0.851592 + 0.524204i \(0.175637\pi\)
\(348\) −6.21356 2.00665i −0.333082 0.107567i
\(349\) −8.07643 13.9888i −0.432322 0.748803i 0.564751 0.825261i \(-0.308972\pi\)
−0.997073 + 0.0764582i \(0.975639\pi\)
\(350\) −11.4235 + 19.7861i −0.610612 + 1.05761i
\(351\) −6.31270 + 25.9095i −0.336947 + 1.38295i
\(352\) −0.922698 + 2.53509i −0.0491800 + 0.135121i
\(353\) 18.1153 + 10.4589i 0.964180 + 0.556670i 0.897457 0.441102i \(-0.145412\pi\)
0.0667232 + 0.997772i \(0.478746\pi\)
\(354\) 7.14067 0.262129i 0.379522 0.0139320i
\(355\) −43.7200 + 7.70902i −2.32042 + 0.409152i
\(356\) 0.924917 + 0.776097i 0.0490205 + 0.0411331i
\(357\) −24.1395 + 5.17608i −1.27760 + 0.273947i
\(358\) 2.49317 14.1395i 0.131768 0.747294i
\(359\) 8.05343 + 22.1266i 0.425044 + 1.16780i 0.948785 + 0.315921i \(0.102314\pi\)
−0.523741 + 0.851877i \(0.675464\pi\)
\(360\) 8.51328 5.78663i 0.448689 0.304982i
\(361\) −4.08900 18.5548i −0.215211 0.976568i
\(362\) 11.9624i 0.628731i
\(363\) −0.885785 + 6.38543i −0.0464917 + 0.335148i
\(364\) −17.0479 3.00601i −0.893553 0.157558i
\(365\) −5.26668 6.27659i −0.275671 0.328532i
\(366\) 7.40265 3.00626i 0.386943 0.157140i
\(367\) 3.11469 + 17.6643i 0.162586 + 0.922069i 0.951519 + 0.307590i \(0.0995226\pi\)
−0.788933 + 0.614479i \(0.789366\pi\)
\(368\) 2.28230 1.31768i 0.118973 0.0686891i
\(369\) 4.99208 0.367005i 0.259877 0.0191055i
\(370\) 16.6902 + 6.07474i 0.867683 + 0.315811i
\(371\) −27.0329 9.83916i −1.40348 0.510824i
\(372\) −8.10259 + 5.08320i −0.420100 + 0.263552i
\(373\) 12.2615 7.07917i 0.634876 0.366546i −0.147762 0.989023i \(-0.547207\pi\)
0.782638 + 0.622477i \(0.213874\pi\)
\(374\) 1.97964 + 11.2271i 0.102365 + 0.580540i
\(375\) −3.96570 9.76519i −0.204788 0.504272i
\(376\) 0.0827058 + 0.0985650i 0.00426523 + 0.00508310i
\(377\) −19.0534 3.35964i −0.981303 0.173030i
\(378\) −15.7116 + 7.76753i −0.808115 + 0.399519i
\(379\) 1.25595i 0.0645137i −0.999480 0.0322569i \(-0.989731\pi\)
0.999480 0.0322569i \(-0.0102695\pi\)
\(380\) −11.6584 9.36893i −0.598064 0.480616i
\(381\) −8.46635 4.48226i −0.433744 0.229633i
\(382\) 3.47670 + 9.55214i 0.177883 + 0.488730i
\(383\) 0.465296 2.63882i 0.0237755 0.134838i −0.970610 0.240660i \(-0.922636\pi\)
0.994385 + 0.105822i \(0.0337474\pi\)
\(384\) −0.363139 1.69356i −0.0185314 0.0864239i
\(385\) −23.9185 20.0700i −1.21900 1.02286i
\(386\) 12.3371 2.17537i 0.627944 0.110723i
\(387\) −3.16645 + 6.55149i −0.160960 + 0.333031i
\(388\) 7.93231 + 4.57972i 0.402702 + 0.232500i
\(389\) 11.2472 30.9013i 0.570253 1.56676i −0.233852 0.972272i \(-0.575133\pi\)
0.804106 0.594486i \(-0.202645\pi\)
\(390\) 22.6301 20.4495i 1.14592 1.03550i
\(391\) 5.56827 9.64452i 0.281599 0.487744i
\(392\) −2.18866 3.79087i −0.110544 0.191468i
\(393\) 7.84692 24.2979i 0.395825 1.22567i
\(394\) −14.7733 + 17.6062i −0.744270 + 0.886987i
\(395\) −5.93183 + 4.97739i −0.298463 + 0.250440i
\(396\) 3.31826 + 7.38185i 0.166749 + 0.370952i
\(397\) −2.19998 + 0.800726i −0.110414 + 0.0401873i −0.396636 0.917976i \(-0.629823\pi\)
0.286223 + 0.958163i \(0.407600\pi\)
\(398\) 25.3399 1.27017
\(399\) 17.4702 + 18.5284i 0.874603 + 0.927578i
\(400\) −6.77344 −0.338672
\(401\) 12.8782 4.68726i 0.643104 0.234071i 0.000179351 1.00000i \(-0.499943\pi\)
0.642925 + 0.765929i \(0.277721\pi\)
\(402\) 11.8713 15.2506i 0.592085 0.760631i
\(403\) −21.7111 + 18.2178i −1.08151 + 0.907492i
\(404\) 3.63500 4.33203i 0.180848 0.215526i
\(405\) 6.20459 30.2515i 0.308308 1.50321i
\(406\) −6.35788 11.0122i −0.315536 0.546525i
\(407\) −6.98237 + 12.0938i −0.346103 + 0.599468i
\(408\) −4.90727 5.43054i −0.242946 0.268852i
\(409\) 7.27394 19.9850i 0.359673 0.988194i −0.619470 0.785020i \(-0.712652\pi\)
0.979143 0.203173i \(-0.0651254\pi\)
\(410\) −4.95807 2.86255i −0.244862 0.141371i
\(411\) −1.26696 34.5135i −0.0624947 1.70243i
\(412\) 3.81721 0.673077i 0.188060 0.0331601i
\(413\) 10.6597 + 8.94454i 0.524529 + 0.440132i
\(414\) 2.15206 7.60758i 0.105768 0.373892i
\(415\) −4.31971 + 24.4983i −0.212046 + 1.20257i
\(416\) −1.75530 4.82265i −0.0860607 0.236450i
\(417\) −1.31135 + 2.47696i −0.0642173 + 0.121297i
\(418\) 8.84606 7.74794i 0.432675 0.378964i
\(419\) 29.1990i 1.42646i −0.700928 0.713232i \(-0.747230\pi\)
0.700928 0.713232i \(-0.252770\pi\)
\(420\) 19.8561 + 2.75443i 0.968877 + 0.134402i
\(421\) 7.45681 + 1.31484i 0.363423 + 0.0640812i 0.352378 0.935858i \(-0.385373\pi\)
0.0110448 + 0.999939i \(0.496484\pi\)
\(422\) 7.65423 + 9.12195i 0.372602 + 0.444050i
\(423\) 0.384029 + 0.0389766i 0.0186722 + 0.00189511i
\(424\) −1.48101 8.39920i −0.0719240 0.407901i
\(425\) −24.7884 + 14.3116i −1.20241 + 0.694214i
\(426\) 11.9093 + 18.9833i 0.577008 + 0.919746i
\(427\) 14.6211 + 5.32165i 0.707565 + 0.257533i
\(428\) −6.55793 2.38689i −0.316989 0.115375i
\(429\) 12.7443 + 20.3144i 0.615302 + 0.980787i
\(430\) 7.20755 4.16128i 0.347579 0.200675i
\(431\) −4.16028 23.5941i −0.200394 1.13649i −0.904526 0.426419i \(-0.859775\pi\)
0.704132 0.710069i \(-0.251336\pi\)
\(432\) −4.32331 2.88253i −0.208006 0.138686i
\(433\) −9.89407 11.7913i −0.475479 0.566654i 0.473984 0.880534i \(-0.342816\pi\)
−0.949463 + 0.313880i \(0.898371\pi\)
\(434\) −18.3442 3.23458i −0.880551 0.155265i
\(435\) 22.1920 + 3.07847i 1.06402 + 0.147601i
\(436\) 5.73217i 0.274521i
\(437\) −11.4847 + 0.243366i −0.549389 + 0.0116418i
\(438\) −1.93520 + 3.65532i −0.0924674 + 0.174658i
\(439\) −7.60564 20.8963i −0.362997 0.997327i −0.977964 0.208774i \(-0.933053\pi\)
0.614967 0.788553i \(-0.289169\pi\)
\(440\) 1.60742 9.11615i 0.0766309 0.434595i
\(441\) −12.6361 3.57454i −0.601718 0.170216i
\(442\) −16.6135 13.9404i −0.790225 0.663078i
\(443\) 30.8547 5.44051i 1.46595 0.258486i 0.617001 0.786963i \(-0.288348\pi\)
0.848948 + 0.528476i \(0.177236\pi\)
\(444\) −0.328903 8.95969i −0.0156091 0.425208i
\(445\) −3.58782 2.07143i −0.170079 0.0981952i
\(446\) −4.33238 + 11.9031i −0.205144 + 0.563629i
\(447\) 27.9857 + 30.9698i 1.32368 + 1.46482i
\(448\) 1.68651 2.92113i 0.0796803 0.138010i
\(449\) −6.15216 10.6559i −0.290338 0.502881i 0.683551 0.729902i \(-0.260435\pi\)
−0.973890 + 0.227022i \(0.927101\pi\)
\(450\) −14.5667 + 14.1678i −0.686681 + 0.667877i
\(451\) 2.89339 3.44820i 0.136244 0.162370i
\(452\) −12.9391 + 10.8572i −0.608602 + 0.510678i
\(453\) 15.6452 20.0988i 0.735076 0.944326i
\(454\) 3.55160 1.29268i 0.166685 0.0606683i
\(455\) 59.3979 2.78462
\(456\) −2.16747 + 7.23202i −0.101501 + 0.338670i
\(457\) −37.8216 −1.76922 −0.884609 0.466334i \(-0.845575\pi\)
−0.884609 + 0.466334i \(0.845575\pi\)
\(458\) −14.3981 + 5.24049i −0.672781 + 0.244872i
\(459\) −21.9123 1.41431i −1.02278 0.0660142i
\(460\) −6.92703 + 5.81247i −0.322975 + 0.271008i
\(461\) −24.9818 + 29.7722i −1.16352 + 1.38663i −0.255970 + 0.966685i \(0.582395\pi\)
−0.907550 + 0.419945i \(0.862050\pi\)
\(462\) −4.84369 + 14.9984i −0.225349 + 0.697791i
\(463\) 12.3259 + 21.3492i 0.572835 + 0.992180i 0.996273 + 0.0862548i \(0.0274899\pi\)
−0.423438 + 0.905925i \(0.639177\pi\)
\(464\) 1.88492 3.26477i 0.0875051 0.151563i
\(465\) 24.3509 22.0045i 1.12924 1.02043i
\(466\) −8.31442 + 22.8437i −0.385158 + 1.05821i
\(467\) 3.17931 + 1.83558i 0.147121 + 0.0849404i 0.571754 0.820425i \(-0.306263\pi\)
−0.424632 + 0.905366i \(0.639597\pi\)
\(468\) −13.8623 6.69989i −0.640784 0.309702i
\(469\) 37.0647 6.53551i 1.71149 0.301782i
\(470\) −0.338201 0.283784i −0.0156000 0.0130900i
\(471\) −5.57172 25.9846i −0.256731 1.19731i
\(472\) −0.716376 + 4.06277i −0.0329739 + 0.187004i
\(473\) 2.23803 + 6.14892i 0.102905 + 0.282728i
\(474\) 3.45454 + 1.82890i 0.158672 + 0.0840043i
\(475\) 25.8762 + 14.2174i 1.18728 + 0.652337i
\(476\) 14.2537i 0.653318i
\(477\) −20.7534 14.9652i −0.950231 0.685210i
\(478\) 13.1557 + 2.31971i 0.601728 + 0.106101i
\(479\) −16.6874 19.8872i −0.762465 0.908670i 0.235536 0.971866i \(-0.424315\pi\)
−0.998001 + 0.0631952i \(0.979871\pi\)
\(480\) 2.23616 + 5.50635i 0.102066 + 0.251329i
\(481\) −4.61312 26.1623i −0.210340 1.19290i
\(482\) 19.0257 10.9845i 0.866596 0.500329i
\(483\) 13.0424 8.18221i 0.593449 0.372304i
\(484\) −3.49747 1.27298i −0.158976 0.0578625i
\(485\) −29.5329 10.7491i −1.34102 0.488092i
\(486\) −15.3268 + 2.84390i −0.695240 + 0.129002i
\(487\) 8.59327 4.96133i 0.389398 0.224819i −0.292501 0.956265i \(-0.594488\pi\)
0.681899 + 0.731446i \(0.261154\pi\)
\(488\) 0.801023 + 4.54283i 0.0362606 + 0.205644i
\(489\) −19.1364 + 7.77138i −0.865376 + 0.351434i
\(490\) 9.65444 + 11.5057i 0.436143 + 0.519775i
\(491\) 14.8971 + 2.62676i 0.672296 + 0.118544i 0.499367 0.866391i \(-0.333566\pi\)
0.172929 + 0.984934i \(0.444677\pi\)
\(492\) −0.397092 + 2.86255i −0.0179023 + 0.129054i
\(493\) 15.9305i 0.717476i
\(494\) −3.41700 + 22.1080i −0.153738 + 0.994688i
\(495\) −15.6111 22.9670i −0.701668 1.03229i
\(496\) −1.88877 5.18936i −0.0848084 0.233009i
\(497\) −7.57822 + 42.9782i −0.339930 + 1.92784i
\(498\) 12.2781 2.63273i 0.550196 0.117975i
\(499\) 16.3136 + 13.6887i 0.730296 + 0.612791i 0.930212 0.367022i \(-0.119623\pi\)
−0.199917 + 0.979813i \(0.564067\pi\)
\(500\) 5.99267 1.05667i 0.268000 0.0472557i
\(501\) 3.11268 0.114264i 0.139064 0.00510494i
\(502\) 5.87250 + 3.39049i 0.262103 + 0.151325i
\(503\) −1.99181 + 5.47245i −0.0888104 + 0.244004i −0.976144 0.217123i \(-0.930333\pi\)
0.887334 + 0.461128i \(0.152555\pi\)
\(504\) −2.48309 9.80969i −0.110605 0.436959i
\(505\) −9.70195 + 16.8043i −0.431731 + 0.747780i
\(506\) −3.55484 6.15716i −0.158032 0.273719i
\(507\) −21.9858 7.10023i −0.976423 0.315332i
\(508\) 3.55514 4.23685i 0.157734 0.187980i
\(509\) −10.9586 + 9.19535i −0.485731 + 0.407577i −0.852493 0.522738i \(-0.824911\pi\)
0.366763 + 0.930315i \(0.380466\pi\)
\(510\) 19.8179 + 15.4265i 0.877552 + 0.683098i
\(511\) −7.56874 + 2.75480i −0.334821 + 0.121865i
\(512\) 1.00000 0.0441942
\(513\) 10.4657 + 20.0865i 0.462073 + 0.886842i
\(514\) −17.7985 −0.785056
\(515\) −12.4977 + 4.54881i −0.550717 + 0.200444i
\(516\) −3.31515 2.58055i −0.145941 0.113603i
\(517\) 0.265908 0.223123i 0.0116946 0.00981294i
\(518\) 11.2231 13.3751i 0.493114 0.587670i
\(519\) −11.1690 3.60697i −0.490263 0.158328i
\(520\) 8.80484 + 15.2504i 0.386118 + 0.668776i
\(521\) −5.93133 + 10.2734i −0.259856 + 0.450084i −0.966203 0.257781i \(-0.917009\pi\)
0.706347 + 0.707866i \(0.250342\pi\)
\(522\) −2.77520 10.9637i −0.121467 0.479869i
\(523\) 10.6971 29.3899i 0.467750 1.28513i −0.451787 0.892126i \(-0.649213\pi\)
0.919536 0.393005i \(-0.128565\pi\)
\(524\) 12.7668 + 7.37090i 0.557719 + 0.321999i
\(525\) −39.5455 + 1.45169i −1.72591 + 0.0633568i
\(526\) −3.78041 + 0.666587i −0.164834 + 0.0290646i
\(527\) −17.8768 15.0004i −0.778727 0.653430i
\(528\) −4.56886 + 0.979673i −0.198834 + 0.0426348i
\(529\) 2.78789 15.8109i 0.121213 0.687431i
\(530\) 10.0090 + 27.4994i 0.434762 + 1.19450i
\(531\) 6.95737 + 10.2357i 0.301924 + 0.444190i
\(532\) −12.5743 + 7.61945i −0.545165 + 0.330345i
\(533\) 8.56309i 0.370909i
\(534\) −0.287349 + 2.07143i −0.0124348 + 0.0896396i
\(535\) 23.5822 + 4.15817i 1.01955 + 0.179774i
\(536\) 7.17227 + 8.54758i 0.309795 + 0.369199i
\(537\) 23.0406 9.35691i 0.994275 0.403780i
\(538\) 0.457985 + 2.59736i 0.0197451 + 0.111980i
\(539\) −10.2270 + 5.90454i −0.440506 + 0.254326i
\(540\) 16.3265 + 7.16444i 0.702580 + 0.308308i
\(541\) −26.2388 9.55016i −1.12810 0.410593i −0.290495 0.956876i \(-0.593820\pi\)
−0.837601 + 0.546283i \(0.816042\pi\)
\(542\) −13.1528 4.78721i −0.564960 0.205628i
\(543\) 17.5515 11.0110i 0.753207 0.472529i
\(544\) 3.65965 2.11290i 0.156906 0.0905897i
\(545\) 3.41540 + 19.3697i 0.146300 + 0.829706i
\(546\) −11.2816 27.7800i −0.482808 1.18887i
\(547\) 12.0859 + 14.4034i 0.516757 + 0.615847i 0.959811 0.280648i \(-0.0905494\pi\)
−0.443054 + 0.896495i \(0.646105\pi\)
\(548\) 19.6369 + 3.46251i 0.838845 + 0.147911i
\(549\) 11.2248 + 8.09415i 0.479061 + 0.345450i
\(550\) 18.2733i 0.779177i
\(551\) −14.0536 + 8.51581i −0.598702 + 0.362786i
\(552\) 4.03412 + 2.13575i 0.171704 + 0.0909034i
\(553\) 2.60348 + 7.15300i 0.110711 + 0.304177i
\(554\) 0.0578695 0.328194i 0.00245864 0.0139436i
\(555\) 6.44985 + 30.0799i 0.273781 + 1.27682i
\(556\) −1.23956 1.04011i −0.0525689 0.0441105i
\(557\) −22.6372 + 3.99155i −0.959170 + 0.169128i −0.631251 0.775578i \(-0.717458\pi\)
−0.327919 + 0.944706i \(0.606347\pi\)
\(558\) −14.9164 7.20935i −0.631460 0.305196i
\(559\) −10.7804 6.22408i −0.455963 0.263250i
\(560\) −3.95843 + 10.8757i −0.167274 + 0.459582i
\(561\) −14.6504 + 13.2388i −0.618542 + 0.558942i
\(562\) −1.25481 + 2.17339i −0.0529308 + 0.0916788i
\(563\) 6.45057 + 11.1727i 0.271859 + 0.470874i 0.969338 0.245732i \(-0.0790282\pi\)
−0.697479 + 0.716605i \(0.745695\pi\)
\(564\) −0.0684884 + 0.212074i −0.00288388 + 0.00892992i
\(565\) 37.2536 44.3971i 1.56727 1.86780i
\(566\) 20.1827 16.9353i 0.848344 0.711845i
\(567\) −25.8587 15.9025i −1.08596 0.667844i
\(568\) −12.1580 + 4.42516i −0.510139 + 0.185676i
\(569\) −37.8380 −1.58625 −0.793125 0.609059i \(-0.791547\pi\)
−0.793125 + 0.609059i \(0.791547\pi\)
\(570\) 3.01508 25.7293i 0.126288 1.07768i
\(571\) 20.7087 0.866632 0.433316 0.901242i \(-0.357343\pi\)
0.433316 + 0.901242i \(0.357343\pi\)
\(572\) −13.0105 + 4.73543i −0.543996 + 0.197998i
\(573\) −10.8149 + 13.8935i −0.451799 + 0.580411i
\(574\) −4.31126 + 3.61758i −0.179949 + 0.150995i
\(575\) 11.4741 13.6743i 0.478503 0.570258i
\(576\) 2.15056 2.09167i 0.0896067 0.0871530i
\(577\) −8.69281 15.0564i −0.361886 0.626805i 0.626385 0.779514i \(-0.284534\pi\)
−0.988271 + 0.152708i \(0.951200\pi\)
\(578\) 0.428670 0.742479i 0.0178303 0.0308830i
\(579\) 14.5477 + 16.0989i 0.604582 + 0.669049i
\(580\) −4.42411 + 12.1551i −0.183701 + 0.504715i
\(581\) 21.1779 + 12.2271i 0.878608 + 0.507265i
\(582\) 0.581986 + 15.8539i 0.0241241 + 0.657167i
\(583\) −22.6593 + 3.99544i −0.938451 + 0.165474i
\(584\) −1.82924 1.53492i −0.0756947 0.0635154i
\(585\) 50.8342 + 14.3802i 2.10174 + 0.594546i
\(586\) 2.26899 12.8681i 0.0937310 0.531575i
\(587\) −10.0782 27.6896i −0.415971 1.14287i −0.953964 0.299922i \(-0.903039\pi\)
0.537992 0.842950i \(-0.319183\pi\)
\(588\) 3.54744 6.70062i 0.146294 0.276329i
\(589\) −3.67683 + 23.7891i −0.151501 + 0.980214i
\(590\) 14.1554i 0.582769i
\(591\) −39.4306 5.46980i −1.62196 0.224998i
\(592\) 5.09772 + 0.898866i 0.209515 + 0.0369432i
\(593\) −8.16230 9.72745i −0.335185 0.399458i 0.571956 0.820284i \(-0.306185\pi\)
−0.907141 + 0.420826i \(0.861740\pi\)
\(594\) −7.77645 + 11.6634i −0.319072 + 0.478555i
\(595\) 8.49279 + 48.1650i 0.348170 + 1.97457i
\(596\) −20.8706 + 12.0496i −0.854893 + 0.493573i
\(597\) 23.3246 + 37.1792i 0.954612 + 1.52164i
\(598\) 12.7095 + 4.62587i 0.519729 + 0.189166i
\(599\) −16.8817 6.14443i −0.689767 0.251055i −0.0267313 0.999643i \(-0.508510\pi\)
−0.663035 + 0.748588i \(0.730732\pi\)
\(600\) −6.23474 9.93813i −0.254532 0.405723i
\(601\) 8.14038 4.69985i 0.332053 0.191711i −0.324699 0.945817i \(-0.605263\pi\)
0.656752 + 0.754106i \(0.271930\pi\)
\(602\) −1.42068 8.05706i −0.0579025 0.328381i
\(603\) 33.3031 + 3.38006i 1.35621 + 0.137647i
\(604\) 9.45237 + 11.2649i 0.384611 + 0.458362i
\(605\) 12.5768 + 2.21764i 0.511321 + 0.0901597i
\(606\) 9.70195 + 1.34585i 0.394115 + 0.0546715i
\(607\) 9.88885i 0.401376i −0.979655 0.200688i \(-0.935682\pi\)
0.979655 0.200688i \(-0.0643177\pi\)
\(608\) −3.82024 2.09899i −0.154931 0.0851251i
\(609\) 10.3050 19.4648i 0.417582 0.788752i
\(610\) −5.41350 14.8735i −0.219186 0.602209i
\(611\) −0.114667 + 0.650309i −0.00463893 + 0.0263087i
\(612\) 3.45080 12.1987i 0.139491 0.493103i
\(613\) −24.8777 20.8749i −1.00480 0.843129i −0.0171592 0.999853i \(-0.505462\pi\)
−0.987642 + 0.156724i \(0.949907\pi\)
\(614\) −7.06477 + 1.24571i −0.285111 + 0.0502728i
\(615\) −0.363769 9.90947i −0.0146686 0.399589i
\(616\) −7.88059 4.54986i −0.317518 0.183319i
\(617\) 7.64721 21.0105i 0.307865 0.845852i −0.685207 0.728348i \(-0.740288\pi\)
0.993072 0.117504i \(-0.0374893\pi\)
\(618\) 4.50117 + 4.98114i 0.181064 + 0.200371i
\(619\) −9.39662 + 16.2754i −0.377682 + 0.654164i −0.990725 0.135886i \(-0.956612\pi\)
0.613043 + 0.790050i \(0.289945\pi\)
\(620\) 9.47436 + 16.4101i 0.380500 + 0.659045i
\(621\) 13.1429 3.84500i 0.527406 0.154295i
\(622\) 7.39475 8.81272i 0.296503 0.353358i
\(623\) −3.11977 + 2.61780i −0.124991 + 0.104880i
\(624\) 5.46019 7.01451i 0.218583 0.280805i
\(625\) 12.2044 4.44205i 0.488178 0.177682i
\(626\) −17.7338 −0.708787
\(627\) 19.5105 + 5.84738i 0.779173 + 0.233522i
\(628\) 15.3432 0.612261
\(629\) 20.5551 7.48143i 0.819584 0.298304i
\(630\) 14.2355 + 31.6686i 0.567158 + 1.26171i
\(631\) −22.1517 + 18.5875i −0.881846 + 0.739956i −0.966558 0.256449i \(-0.917447\pi\)
0.0847122 + 0.996405i \(0.473003\pi\)
\(632\) −1.45061 + 1.72877i −0.0577021 + 0.0687667i
\(633\) −6.33844 + 19.6269i −0.251930 + 0.780100i
\(634\) 17.0401 + 29.5143i 0.676749 + 1.17216i
\(635\) −9.48879 + 16.4351i −0.376551 + 0.652206i
\(636\) 10.9603 9.90417i 0.434602 0.392726i
\(637\) 7.68350 21.1102i 0.304431 0.836418i
\(638\) −8.80767 5.08511i −0.348699 0.201321i
\(639\) −16.8906 + 34.9472i −0.668182 + 1.38249i
\(640\) −3.37912 + 0.595829i −0.133571 + 0.0235522i
\(641\) 18.2950 + 15.3513i 0.722609 + 0.606341i 0.928106 0.372317i \(-0.121437\pi\)
−0.205497 + 0.978658i \(0.565881\pi\)
\(642\) −2.53427 11.8190i −0.100020 0.466458i
\(643\) 6.83453 38.7606i 0.269528 1.52857i −0.486297 0.873793i \(-0.661653\pi\)
0.755825 0.654774i \(-0.227236\pi\)
\(644\) 3.04028 + 8.35309i 0.119804 + 0.329158i
\(645\) 12.7398 + 6.74473i 0.501631 + 0.265574i
\(646\) −18.4157 + 0.390236i −0.724555 + 0.0153536i
\(647\) 24.3840i 0.958633i 0.877642 + 0.479317i \(0.159115\pi\)
−0.877642 + 0.479317i \(0.840885\pi\)
\(648\) 0.249825 8.99653i 0.00981406 0.353417i
\(649\) 10.9605 + 1.93263i 0.430237 + 0.0758624i
\(650\) −22.3448 26.6295i −0.876436 1.04450i
\(651\) −12.1395 29.8924i −0.475783 1.17157i
\(652\) −2.07070 11.7435i −0.0810949 0.459912i
\(653\) 20.0643 11.5841i 0.785178 0.453323i −0.0530845 0.998590i \(-0.516905\pi\)
0.838262 + 0.545268i \(0.183572\pi\)
\(654\) 8.41036 5.27629i 0.328871 0.206319i
\(655\) −47.5322 17.3003i −1.85724 0.675979i
\(656\) −1.56789 0.570666i −0.0612159 0.0222808i
\(657\) −7.14445 + 0.525242i −0.278731 + 0.0204916i
\(658\) −0.375854 + 0.216999i −0.0146523 + 0.00845952i
\(659\) 3.15401 + 17.8873i 0.122863 + 0.696790i 0.982554 + 0.185976i \(0.0595448\pi\)
−0.859691 + 0.510814i \(0.829344\pi\)
\(660\) 14.8550 6.03269i 0.578229 0.234822i
\(661\) 22.4662 + 26.7742i 0.873835 + 1.04140i 0.998787 + 0.0492336i \(0.0156779\pi\)
−0.124952 + 0.992163i \(0.539878\pi\)
\(662\) −20.5781 3.62848i −0.799792 0.141025i
\(663\) 5.16141 37.2074i 0.200453 1.44502i
\(664\) 7.24992i 0.281351i
\(665\) 37.9501 33.2391i 1.47164 1.28896i
\(666\) 12.8431 8.72969i 0.497660 0.338269i
\(667\) 3.39794 + 9.33576i 0.131569 + 0.361482i
\(668\) −0.312274 + 1.77099i −0.0120823 + 0.0685218i
\(669\) −21.4523 + 4.59990i −0.829395 + 0.177842i
\(670\) −29.3288 24.6098i −1.13307 0.950760i
\(671\) 12.2556 2.16099i 0.473122 0.0834242i
\(672\) 5.83832 0.214320i 0.225218 0.00826759i
\(673\) −8.97335 5.18077i −0.345897 0.199704i 0.316980 0.948432i \(-0.397331\pi\)
−0.662877 + 0.748729i \(0.730665\pi\)
\(674\) 10.1824 27.9758i 0.392210 1.07759i
\(675\) −34.1955 8.33153i −1.31619 0.320681i
\(676\) 6.66951 11.5519i 0.256520 0.444305i
\(677\) 2.66151 + 4.60988i 0.102290 + 0.177172i 0.912628 0.408791i \(-0.134050\pi\)
−0.810338 + 0.585963i \(0.800716\pi\)
\(678\) −27.8399 8.99077i −1.06918 0.345289i
\(679\) −19.8590 + 23.6670i −0.762117 + 0.908255i
\(680\) −11.1074 + 9.32025i −0.425951 + 0.357415i
\(681\) 5.16578 + 4.02111i 0.197953 + 0.154089i
\(682\) −13.9998 + 5.09551i −0.536080 + 0.195117i
\(683\) 29.5958 1.13245 0.566226 0.824250i \(-0.308403\pi\)
0.566226 + 0.824250i \(0.308403\pi\)
\(684\) −12.6061 + 3.47669i −0.482005 + 0.132935i
\(685\) −68.4183 −2.61413
\(686\) −8.31289 + 3.02564i −0.317388 + 0.115520i
\(687\) −20.9420 16.3015i −0.798987 0.621942i
\(688\) 1.85806 1.55910i 0.0708378 0.0594400i
\(689\) 28.1354 33.5305i 1.07187 1.27741i
\(690\) −14.9043 4.81329i −0.567397 0.183239i
\(691\) 9.35680 + 16.2065i 0.355950 + 0.616523i 0.987280 0.158991i \(-0.0508241\pi\)
−0.631330 + 0.775514i \(0.717491\pi\)
\(692\) 3.38816 5.86847i 0.128799 0.223086i
\(693\) −26.4645 + 6.69885i −1.00530 + 0.254468i
\(694\) −1.85819 + 5.10534i −0.0705361 + 0.193796i
\(695\) 4.80833 + 2.77609i 0.182390 + 0.105303i
\(696\) 6.52515 0.239533i 0.247335 0.00907948i
\(697\) −6.94369 + 1.22436i −0.263011 + 0.0463760i
\(698\) 12.3738 + 10.3829i 0.468356 + 0.392997i
\(699\) −41.1699 + 8.82782i −1.55719 + 0.333899i
\(700\) 3.96734 22.4999i 0.149951 0.850417i
\(701\) −9.40339 25.8356i −0.355161 0.975798i −0.980685 0.195593i \(-0.937337\pi\)
0.625524 0.780205i \(-0.284885\pi\)
\(702\) −2.92958 26.5061i −0.110570 1.00041i
\(703\) −17.5878 14.1339i −0.663337 0.533071i
\(704\) 2.69779i 0.101677i
\(705\) 0.105070 0.757429i 0.00395718 0.0285264i
\(706\) −20.6000 3.63233i −0.775290 0.136705i
\(707\) 12.2610 + 14.6120i 0.461121 + 0.549543i
\(708\) −6.62038 + 2.68857i −0.248809 + 0.101043i
\(709\) 7.22305 + 40.9640i 0.271267 + 1.53843i 0.750574 + 0.660786i \(0.229777\pi\)
−0.479307 + 0.877647i \(0.659112\pi\)
\(710\) 38.4467 22.1972i 1.44288 0.833047i
\(711\) 0.496392 + 6.75202i 0.0186161 + 0.253220i
\(712\) −1.13458 0.412953i −0.0425201 0.0154761i
\(713\) 13.6759 + 4.97762i 0.512166 + 0.186413i
\(714\) 20.9134 13.1201i 0.782663 0.491008i
\(715\) 41.1425 23.7536i 1.53864 0.888335i
\(716\) 2.49317 + 14.1395i 0.0931741 + 0.528416i
\(717\) 8.70590 + 21.4375i 0.325128 + 0.800600i
\(718\) −15.1355 18.0378i −0.564852 0.673164i
\(719\) 26.6001 + 4.69031i 0.992015 + 0.174919i 0.646022 0.763318i \(-0.276431\pi\)
0.345992 + 0.938237i \(0.387542\pi\)
\(720\) −6.02072 + 8.34937i −0.224379 + 0.311163i
\(721\) 13.0742i 0.486908i
\(722\) 10.1885 + 16.0373i 0.379177 + 0.596846i
\(723\) 33.6292 + 17.8040i 1.25068 + 0.662137i
\(724\) 4.09139 + 11.2410i 0.152055 + 0.417768i
\(725\) 4.43406 25.1468i 0.164677 0.933930i
\(726\) −1.35158 6.30329i −0.0501618 0.233937i
\(727\) 23.4708 + 19.6943i 0.870483 + 0.730422i 0.964200 0.265177i \(-0.0854303\pi\)
−0.0937165 + 0.995599i \(0.529875\pi\)
\(728\) 17.0479 3.00601i 0.631838 0.111410i
\(729\) −18.2805 19.8701i −0.677056 0.735931i
\(730\) 7.09578 + 4.09675i 0.262627 + 0.151628i
\(731\) 3.50562 9.63162i 0.129660 0.356238i
\(732\) −5.92801 + 5.35681i −0.219106 + 0.197993i
\(733\) −24.9658 + 43.2420i −0.922132 + 1.59718i −0.126023 + 0.992027i \(0.540221\pi\)
−0.796110 + 0.605152i \(0.793112\pi\)
\(734\) −8.96840 15.5337i −0.331030 0.573361i
\(735\) −7.99480 + 24.7558i −0.294893 + 0.913133i
\(736\) −1.69398 + 2.01881i −0.0624410 + 0.0744143i
\(737\) 23.0596 19.3493i 0.849410 0.712740i
\(738\) −4.56550 + 2.05226i −0.168058 + 0.0755449i
\(739\) 32.2619 11.7424i 1.18677 0.431950i 0.328183 0.944614i \(-0.393564\pi\)
0.858589 + 0.512664i \(0.171341\pi\)
\(740\) −17.7614 −0.652921
\(741\) −35.5826 + 15.3363i −1.30716 + 0.563392i
\(742\) 28.7678 1.05610
\(743\) −27.6540 + 10.0652i −1.01453 + 0.369257i −0.795169 0.606387i \(-0.792618\pi\)
−0.219357 + 0.975645i \(0.570396\pi\)
\(744\) 5.87538 7.54790i 0.215402 0.276719i
\(745\) 63.3446 53.1525i 2.32077 1.94736i
\(746\) −9.10081 + 10.8459i −0.333204 + 0.397097i
\(747\) 15.1644 + 15.5914i 0.554838 + 0.570459i
\(748\) −5.70015 9.87295i −0.208418 0.360991i
\(749\) 11.7698 20.3860i 0.430061 0.744887i
\(750\) 7.06643 + 7.81993i 0.258030 + 0.285544i
\(751\) 0.559448 1.53707i 0.0204145 0.0560885i −0.929067 0.369912i \(-0.879388\pi\)
0.949481 + 0.313824i \(0.101610\pi\)
\(752\) −0.111429 0.0643337i −0.00406341 0.00234601i
\(753\) 0.430860 + 11.7371i 0.0157014 + 0.427724i
\(754\) 19.0534 3.35964i 0.693886 0.122351i
\(755\) −38.6526 32.4334i −1.40671 1.18037i
\(756\) 12.1074 12.6728i 0.440341 0.460904i
\(757\) 4.17165 23.6586i 0.151621 0.859887i −0.810189 0.586169i \(-0.800635\pi\)
0.961810 0.273718i \(-0.0882534\pi\)
\(758\) 0.429560 + 1.18021i 0.0156023 + 0.0428670i
\(759\) 5.76179 10.8832i 0.209140 0.395035i
\(760\) 14.1597 + 4.81651i 0.513626 + 0.174713i
\(761\) 12.8974i 0.467530i −0.972293 0.233765i \(-0.924895\pi\)
0.972293 0.233765i \(-0.0751047\pi\)
\(762\) 9.48879 + 1.31628i 0.343743 + 0.0476839i
\(763\) 19.0410 + 3.35745i 0.689332 + 0.121548i
\(764\) −6.53405 7.78698i −0.236394 0.281723i
\(765\) −4.39233 + 43.2769i −0.158805 + 1.56468i
\(766\) 0.465296 + 2.63882i 0.0168118 + 0.0953446i
\(767\) −18.3359 + 10.5862i −0.662069 + 0.382246i
\(768\) 0.920469 + 1.46722i 0.0332146 + 0.0529438i
\(769\) 21.8210 + 7.94220i 0.786886 + 0.286403i 0.704041 0.710159i \(-0.251377\pi\)
0.0828452 + 0.996562i \(0.473599\pi\)
\(770\) 29.3404 + 10.6790i 1.05735 + 0.384845i
\(771\) −16.3829 26.1143i −0.590017 0.940482i
\(772\) −10.8491