Properties

Label 114.2.l.b.53.1
Level $114$
Weight $2$
Character 114.53
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 53.1
Root \(-0.363139 + 1.69356i\) of defining polynomial
Character \(\chi\) \(=\) 114.53
Dual form 114.2.l.b.71.1

$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{18}\right)\)

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 −0.984480 0.175496i \(-0.943847\pi\)
−0.00187711 0.999998i \(-0.500598\pi\)
\(6\) 1.64823 0.532290i 0.672888 0.217306i
\(7\) 1.68651 2.92113i 0.637442 1.10408i −0.348550 0.937290i \(-0.613326\pi\)
0.985992 0.166792i \(-0.0533409\pi\)
\(8\) −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 −0.104561 0.994519i \(-0.533344\pi\)
0.808998 + 0.587811i \(0.200010\pi\)
\(12\) −1.73088 0.0635395i −0.499663 0.0183423i
\(13\) −5.05419 0.891189i −1.40178 0.247171i −0.578905 0.815395i \(-0.696520\pi\)
−0.822874 + 0.568224i \(0.807631\pi\)
\(14\) −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 0.631659 + 0.775246i \(0.282374\pi\)
−0.982198 + 0.187850i \(0.939848\pi\)
\(18\) −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 −0.559952 0.828525i \(-0.689181\pi\)
0.913172 + 0.407574i \(0.133625\pi\)
\(24\) 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 0.00852691 0.999964i \(-0.497286\pi\)
0.649296 + 0.760536i \(0.275064\pi\)
\(30\) −5.03439 3.15836i −0.919150 0.576634i
\(31\) 4.78254 + 2.76120i 0.858970 + 0.495927i 0.863667 0.504062i \(-0.168162\pi\)
−0.00469717 + 0.999989i \(0.501495\pi\)
\(32\) 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 \(-0.860100\pi\)
0.904961 0.425494i \(-0.139900\pi\)
\(38\) 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 0.999038 0.0438581i \(-0.0139649\pi\)
−0.953789 + 0.300478i \(0.902854\pi\)
\(42\) 1.22488 5.71241i 0.189003 0.881444i
\(43\) 1.85806 1.55910i 0.283351 0.237760i −0.490023 0.871709i \(-0.663012\pi\)
0.773374 + 0.633950i \(0.218567\pi\)
\(44\) 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 0.942861 0.333187i \(-0.108124\pi\)
−0.936442 + 0.350823i \(0.885902\pi\)
\(48\) −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 0.0722533 0.997386i \(-0.476981\pi\)
−0.969687 + 0.244350i \(0.921425\pi\)
\(54\) −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 0.581805 0.813328i \(-0.302347\pi\)
−0.0771085 + 0.997023i \(0.524569\pi\)
\(60\) 3.65056 + 4.68975i 0.471285 + 0.605444i
\(61\) 3.53369 + 2.96512i 0.452443 + 0.379645i 0.840342 0.542057i \(-0.182354\pi\)
−0.387898 + 0.921702i \(0.626799\pi\)
\(62\) −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 0.920724 + 0.390215i \(0.127599\pi\)
−0.454490 + 0.890752i \(0.650179\pi\)
\(68\) −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 0.176260 0.984344i \(-0.443600\pi\)
0.999996 0.00265261i \(-0.000844352\pi\)
\(72\) −2.88672 + 0.816605i −0.340203 + 0.0962378i
\(73\) −0.414656 2.35163i −0.0485318 0.275238i 0.950879 0.309563i \(-0.100183\pi\)
−0.999411 + 0.0343255i \(0.989072\pi\)
\(74\) −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 −0.0472200 0.998885i \(-0.515036\pi\)
0.297266 + 0.954795i \(0.403925\pi\)
\(80\) 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 0.803300 0.595575i \(-0.203076\pi\)
−0.114133 + 0.993465i \(0.536409\pi\)
\(84\) −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 −0.971677 0.236312i \(-0.924061\pi\)
0.993901 + 0.110273i \(0.0351724\pi\)
\(90\) 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 −0.672880 0.739751i \(-0.734943\pi\)
0.990959 0.134163i \(-0.0428346\pi\)
\(98\) 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 0.443709 0.896171i \(-0.353662\pi\)
0.110442 + 0.993883i \(0.464773\pi\)
\(102\) −0.268505 + 7.31436i −0.0265859 + 0.724230i
\(103\) 3.35680 1.93805i 0.330755 0.190961i −0.325421 0.945569i \(-0.605506\pi\)
0.656176 + 0.754608i \(0.272173\pi\)
\(104\) 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 −0.983930 0.178554i \(-0.942858\pi\)
0.646597 + 0.762832i \(0.276191\pi\)
\(108\) −1.45900 + 4.98712i −0.140392 + 0.479885i
\(109\) 3.68457 + 4.39110i 0.352918 + 0.420591i 0.913073 0.407797i \(-0.133703\pi\)
−0.560155 + 0.828388i \(0.689258\pi\)
\(110\) 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 0.410001 0.912085i \(-0.365528\pi\)
0.0733234 + 0.997308i \(0.476639\pi\)
\(128\) 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 −0.498629 0.866815i \(-0.666163\pi\)
0.939150 0.343506i \(-0.111615\pi\)
\(132\) −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 0.146195 0.989256i \(-0.453297\pi\)
0.948840 0.315756i \(-0.102258\pi\)
\(138\) 1.71748 4.22916i 0.146202 0.360010i
\(139\) −0.280984 + 1.59354i −0.0238328 + 0.135162i −0.994403 0.105658i \(-0.966305\pi\)
0.970570 + 0.240820i \(0.0774164\pi\)
\(140\) −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 −0.944394 + 0.328815i \(0.893351\pi\)
−0.999902 + 0.0140170i \(0.995538\pi\)
\(150\) 1.61202 + 11.6207i 0.131621 + 0.948824i
\(151\) 14.7053i 1.19670i −0.801235 0.598349i \(-0.795824\pi\)
0.801235 0.598349i \(-0.204176\pi\)
\(152\) −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 −0.0392046 0.999231i \(-0.512482\pi\)
0.977243 + 0.212124i \(0.0680380\pi\)
\(158\) −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 0.999290 0.0376868i \(-0.0119989\pi\)
−0.532283 + 0.846567i \(0.678666\pi\)
\(164\) −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 0.587929 0.808912i \(-0.299943\pi\)
−0.694530 + 0.719463i \(0.744388\pi\)
\(168\) 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 0.572540 0.819877i \(-0.305958\pi\)
−0.0884156 + 0.996084i \(0.528180\pi\)
\(174\) 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 −0.999086 0.0427531i \(-0.986387\pi\)
0.462518 0.886610i \(-0.346946\pi\)
\(180\) −9.97901 2.52594i −0.743791 0.188273i
\(181\) −4.09139 11.2410i −0.304111 0.835537i −0.993775 0.111408i \(-0.964464\pi\)
0.689664 0.724129i \(-0.257758\pi\)
\(182\) 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 \(0.119876\pi\)
−0.929919 + 0.367763i \(0.880124\pi\)
\(192\) −0.237991 1.71562i −0.0171755 0.123814i
\(193\) −12.3371 + 2.17537i −0.888046 + 0.156587i −0.599019 0.800734i \(-0.704443\pi\)
−0.289027 + 0.957321i \(0.593332\pi\)
\(194\) −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 0.996132 0.0878643i \(-0.0280042\pi\)
0.421974 + 0.906608i \(0.361338\pi\)
\(198\) −0.593403 + 8.07159i −0.0421713 + 0.573623i
\(199\) −23.8117 + 8.66676i −1.68797 + 0.614370i −0.994367 0.105990i \(-0.966199\pi\)
−0.693601 + 0.720360i \(0.743977\pi\)
\(200\) 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 0.716939 + 0.697136i \(0.245542\pi\)
−0.997317 + 0.0731972i \(0.976680\pi\)
\(212\) −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 0.966355 0.257213i \(-0.0828043\pi\)
−0.421111 + 0.907009i \(0.638360\pi\)
\(224\) −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 0.975236 + 0.221165i \(0.0709860\pi\)
0.0484572 + 0.998825i \(0.484570\pi\)
\(234\) 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 −0.825091 0.565000i \(-0.808876\pi\)
0.0767587 + 0.997050i \(0.475543\pi\)
\(240\) −0.218019 + 5.93909i −0.0140731 + 0.383367i
\(241\) −21.6352 3.81487i −1.39365 0.245737i −0.574116 0.818774i \(-0.694654\pi\)
−0.819530 + 0.573037i \(0.805765\pi\)
\(242\) 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 −0.885857 0.463958i \(-0.846429\pi\)
0.610737 + 0.791834i \(0.290873\pi\)
\(252\) −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 0.237158 0.971471i \(-0.423784\pi\)
0.806123 + 0.591747i \(0.201562\pi\)
\(258\) 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 −0.0558728 0.998438i \(-0.517794\pi\)
0.288983 + 0.957334i \(0.406683\pi\)
\(264\) 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 0.995581 0.0939040i \(-0.0299347\pi\)
−0.967657 + 0.252268i \(0.918824\pi\)
\(270\) −12.8915 + 12.3164i −0.784551 + 0.749549i
\(271\) 10.7222 8.99702i 0.651329 0.546530i −0.256145 0.966638i \(-0.582452\pi\)
0.907474 + 0.420108i \(0.138008\pi\)
\(272\) −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 0.860976 0.508645i \(-0.169854\pi\)
−0.870988 + 0.491305i \(0.836520\pi\)
\(278\) 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 0.698327 0.715779i \(-0.253928\pi\)
−0.583642 + 0.812011i \(0.698373\pi\)
\(282\) 0.136892 + 0.175860i 0.00815177 + 0.0104723i
\(283\) −24.7578 9.01110i −1.47170 0.535655i −0.523138 0.852248i \(-0.675239\pi\)
−0.948561 + 0.316594i \(0.897461\pi\)
\(284\) 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 0.609624 0.792691i \(-0.291321\pi\)
−0.991302 + 0.131604i \(0.957987\pi\)
\(294\) −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 0.0316333 0.999500i \(-0.489929\pi\)
0.371575 + 0.928403i \(0.378818\pi\)
\(308\) 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 0.190183 0.981749i \(-0.439092\pi\)
−0.755128 + 0.655577i \(0.772425\pi\)
\(312\) −7.53000 4.72399i −0.426303 0.267443i
\(313\) 16.6644 6.06533i 0.941925 0.342833i 0.174999 0.984569i \(-0.444008\pi\)
0.766926 + 0.641736i \(0.221785\pi\)
\(314\) −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 0.119267 + 0.992862i \(0.461946\pi\)
−0.451653 + 0.892194i \(0.649165\pi\)
\(318\) −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 0.0879907 0.996121i \(-0.471955\pi\)
0.906662 + 0.421858i \(0.138622\pi\)
\(332\) 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 −0.969526 0.244988i \(-0.921216\pi\)
−0.0729092 0.997339i \(-0.523228\pi\)
\(338\) −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 0.851592 0.524204i \(-0.175637\pi\)
−0.664118 + 0.747628i \(0.731193\pi\)
\(348\) −6.21356 + 2.00665i −0.333082 + 0.107567i
\(349\) −8.07643 + 13.9888i −0.432322 + 0.748803i −0.997073 0.0764582i \(-0.975639\pi\)
0.564751 + 0.825261i \(0.308972\pi\)
\(350\) −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 0.0667232 0.997772i \(-0.478746\pi\)
0.897457 + 0.441102i \(0.145412\pi\)
\(354\) 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 −0.523741 0.851877i \(-0.675464\pi\)
0.948785 0.315921i \(-0.102314\pi\)
\(360\) 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 −0.788933 0.614479i \(-0.789366\pi\)
0.951519 0.307590i \(-0.0995226\pi\)
\(368\) 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 0.782638 0.622477i \(-0.213874\pi\)
−0.147762 + 0.989023i \(0.547207\pi\)
\(374\) 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 \(0.0102695\pi\)
−0.999480 + 0.0322569i \(0.989731\pi\)
\(380\) −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 0.994385 0.105822i \(-0.0337474\pi\)
−0.970610 + 0.240660i \(0.922636\pi\)
\(384\) −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 0.804106 + 0.594486i \(0.202645\pi\)
−0.233852 + 0.972272i \(0.575133\pi\)
\(390\) 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 0.286223 0.958163i \(-0.407600\pi\)
−0.396636 + 0.917976i \(0.629823\pi\)
\(398\) 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 0.642925 0.765929i \(-0.277721\pi\)
0.000179351 1.00000i \(0.499943\pi\)
\(402\) 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 0.979143 + 0.203173i \(0.0651254\pi\)
−0.619470 + 0.785020i \(0.712652\pi\)
\(410\) −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 \(0.252770\pi\)
−0.700928 + 0.713232i \(0.747230\pi\)
\(420\) 19.8561 2.75443i 0.968877 0.134402i
\(421\) 7.45681 1.31484i 0.363423 0.0640812i 0.0110448 0.999939i \(-0.496484\pi\)
0.352378 + 0.935858i \(0.385373\pi\)
\(422\) 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 0.704132 + 0.710069i \(0.251336\pi\)
−0.904526 + 0.426419i \(0.859775\pi\)
\(432\) −4.32331 + 2.88253i −0.208006 + 0.138686i
\(433\) −9.89407 + 11.7913i −0.475479 + 0.566654i −0.949463 0.313880i \(-0.898371\pi\)
0.473984 + 0.880534i \(0.342816\pi\)
\(434\) −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 0.614967 + 0.788553i \(0.289169\pi\)
−0.977964 + 0.208774i \(0.933053\pi\)
\(440\) 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 0.848948 0.528476i \(-0.177236\pi\)
0.617001 + 0.786963i \(0.288348\pi\)
\(444\) −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 −0.973890 0.227022i \(-0.927101\pi\)
0.683551 + 0.729902i \(0.260435\pi\)
\(450\) −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 −0.907550 0.419945i \(-0.862050\pi\)
−0.255970 0.966685i \(-0.582395\pi\)
\(462\) −4.84369 14.9984i −0.225349 0.697791i
\(463\) 12.3259 21.3492i 0.572835 0.992180i −0.423438 0.905925i \(-0.639177\pi\)
0.996273 0.0862548i \(-0.0274899\pi\)
\(464\) 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 −0.424632 0.905366i \(-0.639597\pi\)
0.571754 + 0.820425i \(0.306263\pi\)
\(468\) −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 −0.998001 0.0631952i \(-0.979871\pi\)
0.235536 + 0.971866i \(0.424315\pi\)
\(480\) 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 0.681899 0.731446i \(-0.261154\pi\)
−0.292501 + 0.956265i \(0.594488\pi\)
\(488\) 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 0.172929 0.984934i \(-0.444677\pi\)
0.499367 + 0.866391i \(0.333566\pi\)
\(492\) −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 −0.199917 0.979813i \(-0.564067\pi\)
0.930212 + 0.367022i \(0.119623\pi\)
\(500\) 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 0.887334 0.461128i \(-0.152555\pi\)
−0.976144 + 0.217123i \(0.930333\pi\)
\(504\) −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 0.366763 0.930315i \(-0.380466\pi\)
−0.852493 + 0.522738i \(0.824911\pi\)
\(510\) 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 0.706347 0.707866i \(-0.250342\pi\)
−0.966203 + 0.257781i \(0.917009\pi\)
\(522\) −2.77520 + 10.9637i −0.121467 + 0.479869i
\(523\) 10.6971 + 29.3899i 0.467750 + 1.28513i 0.919536 + 0.393005i \(0.128565\pi\)
−0.451787 + 0.892126i \(0.649213\pi\)
\(524\) 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 −0.837601 0.546283i \(-0.816042\pi\)
−0.290495 + 0.956876i \(0.593820\pi\)
\(542\) −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 −0.443054 0.896495i \(-0.646105\pi\)
0.959811 + 0.280648i \(0.0905494\pi\)
\(548\) 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 −0.327919 0.944706i \(-0.606347\pi\)
−0.631251 + 0.775578i \(0.717458\pi\)
\(558\) −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 −0.697479 0.716605i \(-0.745695\pi\)
0.969338 + 0.245732i \(0.0790282\pi\)
\(564\) −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 −0.988271 0.152708i \(-0.951200\pi\)
0.626385 + 0.779514i \(0.284534\pi\)
\(578\) 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 0.537992 + 0.842950i \(0.319183\pi\)
−0.953964 + 0.299922i \(0.903039\pi\)
\(588\) 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 −0.907141 0.420826i \(-0.861740\pi\)
0.571956 + 0.820284i \(0.306185\pi\)
\(594\) −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 −0.663035 0.748588i \(-0.730732\pi\)
−0.0267313 + 0.999643i \(0.508510\pi\)
\(600\) −6.23474 + 9.93813i −0.254532 + 0.405723i
\(601\) 8.14038 + 4.69985i 0.332053 + 0.191711i 0.656752 0.754106i \(-0.271930\pi\)
−0.324699 + 0.945817i \(0.605263\pi\)
\(602\) −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 \(0.0643177\pi\)
−0.979655 + 0.200688i \(0.935682\pi\)
\(608\) −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 −0.987642 0.156724i \(-0.949907\pi\)
−0.0171592 + 0.999853i \(0.505462\pi\)
\(614\) −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 0.993072 + 0.117504i \(0.0374893\pi\)
−0.685207 + 0.728348i \(0.740288\pi\)
\(618\) 4.50117 4.98114i 0.181064 0.200371i
\(619\) −9.39662 16.2754i −0.377682 0.654164i 0.613043 0.790050i \(-0.289945\pi\)
−0.990725 + 0.135886i \(0.956612\pi\)
\(620\) 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 0.0847122 0.996405i \(-0.473003\pi\)
−0.966558 + 0.256449i \(0.917447\pi\)
\(632\) −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 −0.205497 0.978658i \(-0.565881\pi\)
0.928106 + 0.372317i \(0.121437\pi\)
\(642\) −2.53427 + 11.8190i −0.100020 + 0.466458i
\(643\) 6.83453 + 38.7606i 0.269528 + 1.52857i 0.755825 + 0.654774i \(0.227236\pi\)
−0.486297 + 0.873793i \(0.661653\pi\)
\(644\) 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 \(-0.840885\pi\)
0.877642 0.479317i \(-0.159115\pi\)
\(648\) 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 0.838262 0.545268i \(-0.183572\pi\)
−0.0530845 + 0.998590i \(0.516905\pi\)
\(654\) 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 −0.859691 0.510814i \(-0.829344\pi\)
0.982554 0.185976i \(-0.0595448\pi\)
\(660\) 14.8550 + 6.03269i 0.578229 + 0.234822i
\(661\) 22.4662 26.7742i 0.873835 1.04140i −0.124952 0.992163i \(-0.539878\pi\)
0.998787 0.0492336i \(-0.0156779\pi\)
\(662\) −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 −0.662877 0.748729i \(-0.730665\pi\)
0.316980 + 0.948432i \(0.397331\pi\)
\(674\) 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 −0.810338 0.585963i \(-0.800716\pi\)
0.912628 + 0.408791i \(0.134050\pi\)
\(678\) −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 −0.631330 0.775514i \(-0.717491\pi\)
0.987280 + 0.158991i \(0.0508241\pi\)
\(692\) 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 0.625524 + 0.780205i \(0.284885\pi\)
−0.980685 + 0.195593i \(0.937337\pi\)
\(702\) −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 −0.479307 0.877647i \(-0.659112\pi\)
0.750574 0.660786i \(-0.229777\pi\)
\(710\) 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 0.345992 0.938237i \(-0.387542\pi\)
0.646022 + 0.763318i \(0.276431\pi\)
\(720\) −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 −0.0937165 0.995599i \(-0.529875\pi\)
0.964200 + 0.265177i \(0.0854303\pi\)
\(728\) 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 −0.796110 0.605152i \(-0.793112\pi\)
−0.126023 0.992027i \(-0.540221\pi\)
\(734\) −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 0.858589 0.512664i \(-0.171341\pi\)
0.328183 + 0.944614i \(0.393564\pi\)
\(740\) −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 −0.219357 0.975645i \(-0.570396\pi\)
−0.795169 + 0.606387i \(0.792618\pi\)
\(744\) 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 0.949481 0.313824i \(-0.101610\pi\)
−0.929067 + 0.369912i \(0.879388\pi\)
\(752\) −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 0.961810 + 0.273718i \(0.0882534\pi\)
−0.810189 + 0.586169i \(0.800635\pi\)
\(758\) 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 \(0.0751047\pi\)
−0.972293 + 0.233765i \(0.924895\pi\)
\(762\) 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 0.0828452 0.996562i \(-0.473599\pi\)
0.704041 + 0.710159i \(0.251377\pi\)
\(770\) 29.3404 10.6790i 1.05735 0.384845i
\(771\) −16.3829 + 26.1143i −0.590017 + 0.940482i
\(772\)