Properties

Label 637.2.bl.b.53.5
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.5
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.69736 - 1.15724i) q^{2} +(1.28266 + 1.19014i) q^{3} +(0.811150 + 2.06678i) q^{4} +(0.653901 - 0.201702i) q^{5} +(-0.799869 - 3.50445i) q^{6} +(-2.34964 - 1.21622i) q^{7} +(0.100685 - 0.441128i) q^{8} +(0.00460791 + 0.0614883i) q^{9} +O(q^{10})\) \(q+(-1.69736 - 1.15724i) q^{2} +(1.28266 + 1.19014i) q^{3} +(0.811150 + 2.06678i) q^{4} +(0.653901 - 0.201702i) q^{5} +(-0.799869 - 3.50445i) q^{6} +(-2.34964 - 1.21622i) q^{7} +(0.100685 - 0.441128i) q^{8} +(0.00460791 + 0.0614883i) q^{9} +(-1.34333 - 0.414361i) q^{10} +(0.294283 - 3.92694i) q^{11} +(-1.41932 + 3.61636i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(2.58074 + 4.78347i) q^{14} +(1.07879 + 0.519518i) q^{15} +(2.57373 - 2.38807i) q^{16} +(-5.35944 + 0.807806i) q^{17} +(0.0633356 - 0.109700i) q^{18} +(-0.297407 - 0.515124i) q^{19} +(0.947285 + 1.18786i) q^{20} +(-1.56634 - 4.35640i) q^{21} +(-5.04393 + 6.32489i) q^{22} +(-3.45086 - 0.520133i) q^{23} +(0.654149 - 0.445991i) q^{24} +(-3.74429 + 2.55281i) q^{25} +(2.03138 + 0.306181i) q^{26} +(3.20560 - 4.01970i) q^{27} +(0.607733 - 5.84272i) q^{28} +(1.81431 + 2.27507i) q^{29} +(-1.22989 - 2.13023i) q^{30} +(0.831438 - 1.44009i) q^{31} +(-8.02698 + 1.20987i) q^{32} +(5.05107 - 4.68671i) q^{33} +(10.0317 + 4.83104i) q^{34} +(-1.78175 - 0.321358i) q^{35} +(-0.123345 + 0.0593997i) q^{36} +(3.23686 - 8.24739i) q^{37} +(-0.0913159 + 1.21853i) q^{38} +(-1.67202 - 0.515751i) q^{39} +(-0.0231386 - 0.308763i) q^{40} +(2.08928 - 9.15371i) q^{41} +(-2.38277 + 9.20703i) q^{42} +(0.0187464 + 0.0821334i) q^{43} +(8.35481 - 2.57712i) q^{44} +(0.0154154 + 0.0392778i) q^{45} +(5.25544 + 4.87633i) q^{46} +(-8.34061 - 5.68653i) q^{47} +6.14337 q^{48} +(4.04164 + 5.71534i) q^{49} +9.30965 q^{50} +(-7.83577 - 5.34234i) q^{51} +(-1.62756 - 1.51016i) q^{52} +(-4.69529 - 11.9634i) q^{53} +(-10.0928 + 3.11323i) q^{54} +(-0.599639 - 2.62719i) q^{55} +(-0.773080 + 0.914040i) q^{56} +(0.231596 - 1.01469i) q^{57} +(-0.446732 - 5.96123i) q^{58} +(1.08013 + 0.333177i) q^{59} +(-0.198667 + 2.65102i) q^{60} +(-4.00065 + 10.1935i) q^{61} +(-3.07779 + 1.48218i) q^{62} +(0.0639560 - 0.150080i) q^{63} +(8.69824 + 4.18885i) q^{64} +(-0.501630 + 0.465444i) q^{65} +(-13.9972 + 2.10973i) q^{66} +(1.57305 - 2.72461i) q^{67} +(-6.01686 - 10.4215i) q^{68} +(-3.80726 - 4.77416i) q^{69} +(2.65238 + 2.60738i) q^{70} +(4.70112 - 5.89502i) q^{71} +(0.0275882 + 0.00415825i) q^{72} +(-12.8769 + 8.77931i) q^{73} +(-15.0384 + 10.2530i) q^{74} +(-7.84087 - 1.18182i) q^{75} +(0.823405 - 1.03252i) q^{76} +(-5.46747 + 8.86899i) q^{77} +(2.24118 + 2.81035i) q^{78} +(3.08003 + 5.33476i) q^{79} +(1.20129 - 2.08069i) q^{80} +(9.07863 - 1.36838i) q^{81} +(-14.1393 + 13.1194i) q^{82} +(4.64925 + 2.23896i) q^{83} +(7.73316 - 6.77096i) q^{84} +(-3.34161 + 1.60923i) q^{85} +(0.0632288 - 0.161104i) q^{86} +(-0.380502 + 5.07744i) q^{87} +(-1.70266 - 0.525200i) q^{88} +(0.572244 + 7.63606i) q^{89} +(0.0192884 - 0.0845082i) q^{90} +(2.64465 + 0.0763007i) q^{91} +(-1.72416 - 7.55405i) q^{92} +(2.78037 - 0.857629i) q^{93} +(7.57635 + 19.3042i) q^{94} +(-0.298377 - 0.276853i) q^{95} +(-11.7358 - 8.00136i) q^{96} +6.03606 q^{97} +(-0.246091 - 14.3782i) q^{98} +0.242817 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.69736 1.15724i −1.20022 0.818294i −0.212903 0.977073i \(-0.568292\pi\)
−0.987314 + 0.158779i \(0.949244\pi\)
\(3\) 1.28266 + 1.19014i 0.740547 + 0.687127i 0.957299 0.289100i \(-0.0933558\pi\)
−0.216752 + 0.976227i \(0.569546\pi\)
\(4\) 0.811150 + 2.06678i 0.405575 + 1.03339i
\(5\) 0.653901 0.201702i 0.292434 0.0902038i −0.145067 0.989422i \(-0.546340\pi\)
0.437501 + 0.899218i \(0.355864\pi\)
\(6\) −0.799869 3.50445i −0.326545 1.43069i
\(7\) −2.34964 1.21622i −0.888081 0.459686i
\(8\) 0.100685 0.441128i 0.0355974 0.155962i
\(9\) 0.00460791 + 0.0614883i 0.00153597 + 0.0204961i
\(10\) −1.34333 0.414361i −0.424797 0.131033i
\(11\) 0.294283 3.92694i 0.0887298 1.18402i −0.758095 0.652145i \(-0.773870\pi\)
0.846824 0.531872i \(-0.178511\pi\)
\(12\) −1.41932 + 3.61636i −0.409722 + 1.04395i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) 2.58074 + 4.78347i 0.689732 + 1.27844i
\(15\) 1.07879 + 0.519518i 0.278542 + 0.134139i
\(16\) 2.57373 2.38807i 0.643433 0.597018i
\(17\) −5.35944 + 0.807806i −1.29986 + 0.195922i −0.762254 0.647278i \(-0.775907\pi\)
−0.537601 + 0.843199i \(0.680669\pi\)
\(18\) 0.0633356 0.109700i 0.0149283 0.0258566i
\(19\) −0.297407 0.515124i −0.0682299 0.118178i 0.829892 0.557924i \(-0.188402\pi\)
−0.898122 + 0.439746i \(0.855068\pi\)
\(20\) 0.947285 + 1.18786i 0.211819 + 0.265613i
\(21\) −1.56634 4.35640i −0.341803 0.950644i
\(22\) −5.04393 + 6.32489i −1.07537 + 1.34847i
\(23\) −3.45086 0.520133i −0.719553 0.108455i −0.220950 0.975285i \(-0.570916\pi\)
−0.498604 + 0.866830i \(0.666154\pi\)
\(24\) 0.654149 0.445991i 0.133528 0.0910376i
\(25\) −3.74429 + 2.55281i −0.748858 + 0.510563i
\(26\) 2.03138 + 0.306181i 0.398386 + 0.0600471i
\(27\) 3.20560 4.01970i 0.616919 0.773592i
\(28\) 0.607733 5.84272i 0.114851 1.10417i
\(29\) 1.81431 + 2.27507i 0.336909 + 0.422471i 0.921210 0.389067i \(-0.127202\pi\)
−0.584300 + 0.811537i \(0.698631\pi\)
\(30\) −1.22989 2.13023i −0.224546 0.388925i
\(31\) 0.831438 1.44009i 0.149331 0.258648i −0.781650 0.623718i \(-0.785621\pi\)
0.930980 + 0.365070i \(0.118955\pi\)
\(32\) −8.02698 + 1.20987i −1.41898 + 0.213877i
\(33\) 5.05107 4.68671i 0.879279 0.815852i
\(34\) 10.0317 + 4.83104i 1.72043 + 0.828516i
\(35\) −1.78175 0.321358i −0.301170 0.0543194i
\(36\) −0.123345 + 0.0593997i −0.0205575 + 0.00989995i
\(37\) 3.23686 8.24739i 0.532137 1.35586i −0.371846 0.928294i \(-0.621275\pi\)
0.903983 0.427568i \(-0.140630\pi\)
\(38\) −0.0913159 + 1.21853i −0.0148134 + 0.197671i
\(39\) −1.67202 0.515751i −0.267738 0.0825862i
\(40\) −0.0231386 0.308763i −0.00365853 0.0488197i
\(41\) 2.08928 9.15371i 0.326290 1.42957i −0.499853 0.866110i \(-0.666613\pi\)
0.826143 0.563460i \(-0.190530\pi\)
\(42\) −2.38277 + 9.20703i −0.367669 + 1.42067i
\(43\) 0.0187464 + 0.0821334i 0.00285880 + 0.0125252i 0.976337 0.216254i \(-0.0693838\pi\)
−0.973478 + 0.228779i \(0.926527\pi\)
\(44\) 8.35481 2.57712i 1.25954 0.388515i
\(45\) 0.0154154 + 0.0392778i 0.00229799 + 0.00585519i
\(46\) 5.25544 + 4.87633i 0.774872 + 0.718976i
\(47\) −8.34061 5.68653i −1.21660 0.829466i −0.227085 0.973875i \(-0.572919\pi\)
−0.989518 + 0.144409i \(0.953872\pi\)
\(48\) 6.14337 0.886720
\(49\) 4.04164 + 5.71534i 0.577377 + 0.816478i
\(50\) 9.30965 1.31658
\(51\) −7.83577 5.34234i −1.09723 0.748077i
\(52\) −1.62756 1.51016i −0.225702 0.209421i
\(53\) −4.69529 11.9634i −0.644948 1.64330i −0.759986 0.649939i \(-0.774794\pi\)
0.115038 0.993361i \(-0.463301\pi\)
\(54\) −10.0928 + 3.11323i −1.37346 + 0.423657i
\(55\) −0.599639 2.62719i −0.0808553 0.354250i
\(56\) −0.773080 + 0.914040i −0.103307 + 0.122144i
\(57\) 0.231596 1.01469i 0.0306756 0.134399i
\(58\) −0.446732 5.96123i −0.0586588 0.782747i
\(59\) 1.08013 + 0.333177i 0.140621 + 0.0433759i 0.364267 0.931295i \(-0.381320\pi\)
−0.223646 + 0.974671i \(0.571796\pi\)
\(60\) −0.198667 + 2.65102i −0.0256478 + 0.342246i
\(61\) −4.00065 + 10.1935i −0.512231 + 1.30514i 0.407719 + 0.913107i \(0.366324\pi\)
−0.919950 + 0.392036i \(0.871771\pi\)
\(62\) −3.07779 + 1.48218i −0.390879 + 0.188238i
\(63\) 0.0639560 0.150080i 0.00805770 0.0189083i
\(64\) 8.69824 + 4.18885i 1.08728 + 0.523607i
\(65\) −0.501630 + 0.465444i −0.0622195 + 0.0577313i
\(66\) −13.9972 + 2.10973i −1.72293 + 0.259690i
\(67\) 1.57305 2.72461i 0.192179 0.332864i −0.753793 0.657112i \(-0.771778\pi\)
0.945972 + 0.324248i \(0.105111\pi\)
\(68\) −6.01686 10.4215i −0.729652 1.26379i
\(69\) −3.80726 4.77416i −0.458341 0.574741i
\(70\) 2.65238 + 2.60738i 0.317021 + 0.311641i
\(71\) 4.70112 5.89502i 0.557920 0.699610i −0.420251 0.907408i \(-0.638058\pi\)
0.978172 + 0.207798i \(0.0666295\pi\)
\(72\) 0.0275882 + 0.00415825i 0.00325130 + 0.000490054i
\(73\) −12.8769 + 8.77931i −1.50713 + 1.02754i −0.522544 + 0.852612i \(0.675017\pi\)
−0.984581 + 0.174928i \(0.944031\pi\)
\(74\) −15.0384 + 10.2530i −1.74817 + 1.19189i
\(75\) −7.84087 1.18182i −0.905386 0.136465i
\(76\) 0.823405 1.03252i 0.0944510 0.118438i
\(77\) −5.46747 + 8.86899i −0.623076 + 1.01072i
\(78\) 2.24118 + 2.81035i 0.253764 + 0.318210i
\(79\) 3.08003 + 5.33476i 0.346530 + 0.600208i 0.985631 0.168916i \(-0.0540266\pi\)
−0.639101 + 0.769123i \(0.720693\pi\)
\(80\) 1.20129 2.08069i 0.134308 0.232628i
\(81\) 9.07863 1.36838i 1.00874 0.152043i
\(82\) −14.1393 + 13.1194i −1.56143 + 1.44879i
\(83\) 4.64925 + 2.23896i 0.510321 + 0.245758i 0.671281 0.741203i \(-0.265745\pi\)
−0.160959 + 0.986961i \(0.551459\pi\)
\(84\) 7.73316 6.77096i 0.843757 0.738773i
\(85\) −3.34161 + 1.60923i −0.362449 + 0.174546i
\(86\) 0.0632288 0.161104i 0.00681813 0.0173723i
\(87\) −0.380502 + 5.07744i −0.0407940 + 0.544359i
\(88\) −1.70266 0.525200i −0.181504 0.0559865i
\(89\) 0.572244 + 7.63606i 0.0606577 + 0.809421i 0.941715 + 0.336411i \(0.109213\pi\)
−0.881057 + 0.473009i \(0.843168\pi\)
\(90\) 0.0192884 0.0845082i 0.00203318 0.00890794i
\(91\) 2.64465 + 0.0763007i 0.277235 + 0.00799848i
\(92\) −1.72416 7.55405i −0.179756 0.787565i
\(93\) 2.78037 0.857629i 0.288310 0.0889320i
\(94\) 7.57635 + 19.3042i 0.781441 + 1.99108i
\(95\) −0.298377 0.276853i −0.0306128 0.0284045i
\(96\) −11.7358 8.00136i −1.19778 0.816635i
\(97\) 6.03606 0.612869 0.306435 0.951892i \(-0.400864\pi\)
0.306435 + 0.951892i \(0.400864\pi\)
\(98\) −0.246091 14.3782i −0.0248590 1.45241i
\(99\) 0.242817 0.0244040
\(100\) −8.31327 5.66789i −0.831327 0.566789i
\(101\) −8.29897 7.70032i −0.825778 0.766210i 0.149130 0.988818i \(-0.452353\pi\)
−0.974908 + 0.222607i \(0.928543\pi\)
\(102\) 7.11777 + 18.1358i 0.704764 + 1.79571i
\(103\) −7.05363 + 2.17576i −0.695015 + 0.214384i −0.622081 0.782953i \(-0.713712\pi\)
−0.0729340 + 0.997337i \(0.523236\pi\)
\(104\) 0.100685 + 0.441128i 0.00987295 + 0.0432562i
\(105\) −1.90292 2.53272i −0.185706 0.247168i
\(106\) −5.87495 + 25.7398i −0.570626 + 2.50007i
\(107\) −0.366786 4.89441i −0.0354585 0.473161i −0.986463 0.163984i \(-0.947566\pi\)
0.951005 0.309177i \(-0.100054\pi\)
\(108\) 10.9080 + 3.36469i 1.04963 + 0.323767i
\(109\) 1.39443 18.6074i 0.133562 1.78226i −0.380770 0.924670i \(-0.624341\pi\)
0.514332 0.857591i \(-0.328040\pi\)
\(110\) −2.02249 + 5.15322i −0.192837 + 0.491340i
\(111\) 13.9674 6.72632i 1.32572 0.638434i
\(112\) −8.95176 + 2.48091i −0.845862 + 0.234424i
\(113\) −0.103664 0.0499218i −0.00975185 0.00469624i 0.429001 0.903304i \(-0.358866\pi\)
−0.438753 + 0.898608i \(0.644580\pi\)
\(114\) −1.56734 + 1.45428i −0.146795 + 0.136206i
\(115\) −2.36143 + 0.355929i −0.220205 + 0.0331905i
\(116\) −3.23039 + 5.59520i −0.299934 + 0.519501i
\(117\) −0.0308303 0.0533997i −0.00285027 0.00493681i
\(118\) −1.44781 1.81550i −0.133282 0.167130i
\(119\) 13.5752 + 4.62018i 1.24444 + 0.423531i
\(120\) 0.337792 0.423577i 0.0308360 0.0386671i
\(121\) −4.45712 0.671802i −0.405192 0.0610729i
\(122\) 18.5869 12.6723i 1.68278 1.14730i
\(123\) 13.5740 9.25462i 1.22393 0.834461i
\(124\) 3.65077 + 0.550265i 0.327849 + 0.0494152i
\(125\) −4.06677 + 5.09957i −0.363743 + 0.456119i
\(126\) −0.282235 + 0.180727i −0.0251435 + 0.0161004i
\(127\) 10.9690 + 13.7547i 0.973339 + 1.22053i 0.975380 + 0.220530i \(0.0707788\pi\)
−0.00204131 + 0.999998i \(0.500650\pi\)
\(128\) −1.79892 3.11581i −0.159003 0.275402i
\(129\) −0.0737048 + 0.127660i −0.00648934 + 0.0112399i
\(130\) 1.39008 0.209521i 0.121918 0.0183762i
\(131\) 7.13936 6.62435i 0.623768 0.578773i −0.303657 0.952782i \(-0.598208\pi\)
0.927425 + 0.374009i \(0.122017\pi\)
\(132\) 13.7836 + 6.63781i 1.19970 + 0.577747i
\(133\) 0.0722983 + 1.57207i 0.00626906 + 0.136316i
\(134\) −5.82307 + 2.80424i −0.503037 + 0.242250i
\(135\) 1.28537 3.27506i 0.110627 0.281873i
\(136\) −0.183268 + 2.44554i −0.0157151 + 0.209703i
\(137\) −15.2327 4.69866i −1.30142 0.401434i −0.434853 0.900501i \(-0.643200\pi\)
−0.866563 + 0.499068i \(0.833676\pi\)
\(138\) 0.937450 + 12.5094i 0.0798011 + 1.06487i
\(139\) −1.65888 + 7.26804i −0.140705 + 0.616467i 0.854568 + 0.519340i \(0.173822\pi\)
−0.995272 + 0.0971264i \(0.969035\pi\)
\(140\) −0.781090 3.94314i −0.0660141 0.333256i
\(141\) −3.93044 17.2204i −0.331003 1.45022i
\(142\) −14.8015 + 4.56565i −1.24211 + 0.383141i
\(143\) 1.43870 + 3.66574i 0.120310 + 0.306544i
\(144\) 0.158698 + 0.147250i 0.0132248 + 0.0122709i
\(145\) 1.64527 + 1.12172i 0.136632 + 0.0931541i
\(146\) 32.0165 2.64971
\(147\) −1.61798 + 12.1410i −0.133449 + 1.00137i
\(148\) 19.6711 1.61695
\(149\) −9.02639 6.15409i −0.739470 0.504162i 0.134035 0.990977i \(-0.457207\pi\)
−0.873506 + 0.486814i \(0.838159\pi\)
\(150\) 11.9412 + 11.0798i 0.974992 + 0.904660i
\(151\) 7.30163 + 18.6043i 0.594199 + 1.51399i 0.838839 + 0.544379i \(0.183235\pi\)
−0.244641 + 0.969614i \(0.578670\pi\)
\(152\) −0.257180 + 0.0793297i −0.0208601 + 0.00643448i
\(153\) −0.0743664 0.325821i −0.00601217 0.0263410i
\(154\) 19.5439 8.72672i 1.57489 0.703219i
\(155\) 0.253209 1.10938i 0.0203382 0.0891076i
\(156\) −0.290320 3.87405i −0.0232442 0.310172i
\(157\) 20.4992 + 6.32316i 1.63601 + 0.504643i 0.970370 0.241626i \(-0.0776806\pi\)
0.665644 + 0.746269i \(0.268157\pi\)
\(158\) 0.945691 12.6194i 0.0752351 1.00394i
\(159\) 8.21563 20.9331i 0.651542 1.66010i
\(160\) −5.00482 + 2.41019i −0.395666 + 0.190542i
\(161\) 7.47569 + 5.41911i 0.589167 + 0.427086i
\(162\) −16.9933 8.18354i −1.33512 0.642960i
\(163\) 15.2443 14.1446i 1.19402 1.10789i 0.202323 0.979319i \(-0.435151\pi\)
0.991700 0.128573i \(-0.0410395\pi\)
\(164\) 20.6134 3.10697i 1.60964 0.242614i
\(165\) 2.35759 4.08346i 0.183538 0.317897i
\(166\) −5.30044 9.18064i −0.411394 0.712556i
\(167\) 2.77526 + 3.48006i 0.214756 + 0.269295i 0.877528 0.479526i \(-0.159191\pi\)
−0.662772 + 0.748821i \(0.730620\pi\)
\(168\) −2.07944 + 0.252334i −0.160432 + 0.0194680i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 7.53420 + 1.13560i 0.577847 + 0.0870964i
\(171\) 0.0303037 0.0206607i 0.00231738 0.00157996i
\(172\) −0.154545 + 0.105367i −0.0117840 + 0.00803416i
\(173\) 18.4395 + 2.77931i 1.40193 + 0.211307i 0.806088 0.591796i \(-0.201581\pi\)
0.595841 + 0.803102i \(0.296819\pi\)
\(174\) 6.52168 8.17793i 0.494407 0.619967i
\(175\) 11.9025 1.44434i 0.899746 0.109182i
\(176\) −8.62041 10.8097i −0.649788 0.814809i
\(177\) 0.988922 + 1.71286i 0.0743319 + 0.128747i
\(178\) 7.86547 13.6234i 0.589542 1.02112i
\(179\) 22.0991 3.33091i 1.65177 0.248964i 0.743920 0.668268i \(-0.232964\pi\)
0.907846 + 0.419305i \(0.137726\pi\)
\(180\) −0.0686743 + 0.0637204i −0.00511868 + 0.00474944i
\(181\) −9.28910 4.47340i −0.690453 0.332505i 0.0555416 0.998456i \(-0.482311\pi\)
−0.745995 + 0.665952i \(0.768026\pi\)
\(182\) −4.40064 3.19001i −0.326197 0.236460i
\(183\) −17.2632 + 8.31351i −1.27613 + 0.614552i
\(184\) −0.576894 + 1.46990i −0.0425292 + 0.108363i
\(185\) 0.453075 6.04586i 0.0333107 0.444501i
\(186\) −5.71178 1.76185i −0.418808 0.129185i
\(187\) 1.59501 + 21.2839i 0.116639 + 1.55644i
\(188\) 4.98730 21.8508i 0.363736 1.59363i
\(189\) −12.4208 + 5.54615i −0.903483 + 0.403423i
\(190\) 0.186067 + 0.815214i 0.0134987 + 0.0591419i
\(191\) −8.90227 + 2.74599i −0.644146 + 0.198693i −0.599581 0.800314i \(-0.704666\pi\)
−0.0445646 + 0.999007i \(0.514190\pi\)
\(192\) 6.17161 + 15.7250i 0.445398 + 1.13486i
\(193\) 8.41661 + 7.80947i 0.605841 + 0.562138i 0.922303 0.386467i \(-0.126305\pi\)
−0.316462 + 0.948605i \(0.602495\pi\)
\(194\) −10.2454 6.98519i −0.735577 0.501508i
\(195\) −1.19737 −0.0857452
\(196\) −8.53396 + 12.9892i −0.609569 + 0.927797i
\(197\) −5.40689 −0.385225 −0.192612 0.981275i \(-0.561696\pi\)
−0.192612 + 0.981275i \(0.561696\pi\)
\(198\) −0.412148 0.280998i −0.0292901 0.0199697i
\(199\) −0.371124 0.344353i −0.0263083 0.0244105i 0.666909 0.745139i \(-0.267617\pi\)
−0.693217 + 0.720729i \(0.743807\pi\)
\(200\) 0.749126 + 1.90874i 0.0529712 + 0.134968i
\(201\) 5.26036 1.62261i 0.371037 0.114450i
\(202\) 5.17523 + 22.6742i 0.364128 + 1.59535i
\(203\) −1.49600 7.55220i −0.104999 0.530061i
\(204\) 4.68543 20.5282i 0.328046 1.43726i
\(205\) −0.480141 6.40704i −0.0335345 0.447487i
\(206\) 14.4905 + 4.46971i 1.00960 + 0.311420i
\(207\) 0.0160808 0.214584i 0.00111770 0.0149146i
\(208\) −1.28271 + 3.26828i −0.0889396 + 0.226614i
\(209\) −2.11038 + 1.01631i −0.145978 + 0.0702995i
\(210\) 0.298981 + 6.50110i 0.0206316 + 0.448618i
\(211\) 4.02478 + 1.93823i 0.277078 + 0.133434i 0.567262 0.823537i \(-0.308003\pi\)
−0.290185 + 0.956971i \(0.593717\pi\)
\(212\) 20.9171 19.4082i 1.43659 1.33296i
\(213\) 13.0459 1.96635i 0.893887 0.134732i
\(214\) −5.04146 + 8.73206i −0.344627 + 0.596911i
\(215\) 0.0288247 + 0.0499259i 0.00196583 + 0.00340492i
\(216\) −1.45045 1.81881i −0.0986905 0.123754i
\(217\) −3.70504 + 2.37249i −0.251515 + 0.161055i
\(218\) −23.9001 + 29.9697i −1.61872 + 2.02981i
\(219\) −26.9653 4.06437i −1.82215 0.274645i
\(220\) 4.94341 3.37036i 0.333285 0.227230i
\(221\) 4.47820 3.05318i 0.301236 0.205379i
\(222\) −31.4917 4.74660i −2.11358 0.318571i
\(223\) −7.46015 + 9.35473i −0.499569 + 0.626439i −0.966132 0.258049i \(-0.916921\pi\)
0.466563 + 0.884488i \(0.345492\pi\)
\(224\) 20.3320 + 6.91977i 1.35849 + 0.462346i
\(225\) −0.174221 0.218467i −0.0116148 0.0145645i
\(226\) 0.118183 + 0.204699i 0.00786143 + 0.0136164i
\(227\) −8.56837 + 14.8408i −0.568702 + 0.985021i 0.427992 + 0.903782i \(0.359221\pi\)
−0.996695 + 0.0812390i \(0.974112\pi\)
\(228\) 2.28499 0.344407i 0.151327 0.0228089i
\(229\) −11.4782 + 10.6503i −0.758504 + 0.703789i −0.961322 0.275428i \(-0.911181\pi\)
0.202818 + 0.979216i \(0.434990\pi\)
\(230\) 4.42010 + 2.12861i 0.291453 + 0.140356i
\(231\) −17.5683 + 4.86890i −1.15591 + 0.320350i
\(232\) 1.18627 0.571279i 0.0778827 0.0375063i
\(233\) 1.34313 3.42223i 0.0879911 0.224198i −0.880104 0.474781i \(-0.842527\pi\)
0.968095 + 0.250583i \(0.0806225\pi\)
\(234\) −0.00946614 + 0.126317i −0.000618821 + 0.00825760i
\(235\) −6.60092 2.03611i −0.430597 0.132821i
\(236\) 0.187548 + 2.50265i 0.0122083 + 0.162909i
\(237\) −2.39847 + 10.5084i −0.155797 + 0.682592i
\(238\) −17.6954 23.5520i −1.14703 1.52665i
\(239\) −1.66252 7.28397i −0.107539 0.471161i −0.999807 0.0196536i \(-0.993744\pi\)
0.892267 0.451507i \(-0.149113\pi\)
\(240\) 4.01716 1.23913i 0.259307 0.0799855i
\(241\) 3.46923 + 8.83946i 0.223473 + 0.569400i 0.998005 0.0631349i \(-0.0201098\pi\)
−0.774532 + 0.632535i \(0.782015\pi\)
\(242\) 6.78791 + 6.29826i 0.436343 + 0.404867i
\(243\) 0.529368 + 0.360917i 0.0339590 + 0.0231528i
\(244\) −24.3128 −1.55647
\(245\) 3.79563 + 2.92206i 0.242494 + 0.186684i
\(246\) −33.7499 −2.15182
\(247\) 0.491459 + 0.335071i 0.0312708 + 0.0213201i
\(248\) −0.551553 0.511766i −0.0350236 0.0324972i
\(249\) 3.29875 + 8.40509i 0.209050 + 0.532651i
\(250\) 12.8042 3.94958i 0.809810 0.249793i
\(251\) 2.17898 + 9.54673i 0.137536 + 0.602584i 0.995972 + 0.0896637i \(0.0285792\pi\)
−0.858436 + 0.512920i \(0.828564\pi\)
\(252\) 0.362059 + 0.0104457i 0.0228076 + 0.000658020i
\(253\) −3.05806 + 13.3982i −0.192259 + 0.842340i
\(254\) −2.70086 36.0404i −0.169467 2.26138i
\(255\) −6.20138 1.91287i −0.388346 0.119789i
\(256\) 0.890598 11.8842i 0.0556623 0.742762i
\(257\) 2.42449 6.17749i 0.151235 0.385342i −0.835098 0.550101i \(-0.814589\pi\)
0.986334 + 0.164759i \(0.0526846\pi\)
\(258\) 0.272838 0.131392i 0.0169861 0.00818010i
\(259\) −17.6361 + 15.4417i −1.09585 + 0.959500i
\(260\) −1.36887 0.659211i −0.0848935 0.0408825i
\(261\) −0.131530 + 0.122042i −0.00814151 + 0.00755422i
\(262\) −19.7841 + 2.98197i −1.22226 + 0.184227i
\(263\) 1.64659 2.85197i 0.101533 0.175860i −0.810784 0.585346i \(-0.800959\pi\)
0.912316 + 0.409486i \(0.134292\pi\)
\(264\) −1.55888 2.70005i −0.0959422 0.166177i
\(265\) −5.48330 6.87584i −0.336836 0.422380i
\(266\) 1.69655 2.75204i 0.104022 0.168738i
\(267\) −8.35398 + 10.4756i −0.511255 + 0.641094i
\(268\) 6.90713 + 1.04108i 0.421920 + 0.0635942i
\(269\) 23.2335 15.8403i 1.41657 0.965802i 0.418223 0.908344i \(-0.362653\pi\)
0.998348 0.0574578i \(-0.0182995\pi\)
\(270\) −5.97178 + 4.07149i −0.363431 + 0.247783i
\(271\) 4.13665 + 0.623500i 0.251284 + 0.0378749i 0.273476 0.961879i \(-0.411827\pi\)
−0.0221924 + 0.999754i \(0.507065\pi\)
\(272\) −11.8647 + 14.8778i −0.719401 + 0.902100i
\(273\) 3.30139 + 3.24537i 0.199809 + 0.196419i
\(274\) 20.4179 + 25.6033i 1.23349 + 1.54675i
\(275\) 8.92286 + 15.4549i 0.538069 + 0.931963i
\(276\) 6.77885 11.7413i 0.408039 0.706744i
\(277\) −19.6594 + 2.96318i −1.18122 + 0.178040i −0.710147 0.704054i \(-0.751371\pi\)
−0.471074 + 0.882094i \(0.656133\pi\)
\(278\) 11.2266 10.4168i 0.673327 0.624756i
\(279\) 0.0923800 + 0.0444878i 0.00553064 + 0.00266342i
\(280\) −0.321155 + 0.753624i −0.0191927 + 0.0450376i
\(281\) −5.05884 + 2.43621i −0.301785 + 0.145332i −0.578648 0.815577i \(-0.696419\pi\)
0.276863 + 0.960909i \(0.410705\pi\)
\(282\) −13.2568 + 33.7778i −0.789431 + 2.01144i
\(283\) 1.87470 25.0161i 0.111439 1.48705i −0.608799 0.793324i \(-0.708348\pi\)
0.720238 0.693727i \(-0.244032\pi\)
\(284\) 15.9970 + 4.93442i 0.949247 + 0.292804i
\(285\) −0.0532236 0.710219i −0.00315269 0.0420698i
\(286\) 1.80016 7.88701i 0.106446 0.466368i
\(287\) −16.0419 + 18.9669i −0.946926 + 1.11958i
\(288\) −0.111381 0.487990i −0.00656316 0.0287551i
\(289\) 11.8263 3.64794i 0.695667 0.214585i
\(290\) −1.49451 3.80795i −0.0877606 0.223610i
\(291\) 7.74225 + 7.18376i 0.453859 + 0.421119i
\(292\) −28.5899 19.4923i −1.67310 1.14070i
\(293\) −10.6698 −0.623338 −0.311669 0.950191i \(-0.600888\pi\)
−0.311669 + 0.950191i \(0.600888\pi\)
\(294\) 16.7964 18.7353i 0.979584 1.09266i
\(295\) 0.773503 0.0450351
\(296\) −3.31226 2.25826i −0.192521 0.131259i
\(297\) −14.8418 13.7711i −0.861207 0.799083i
\(298\) 8.19929 + 20.8914i 0.474972 + 1.21021i
\(299\) 3.33479 1.02865i 0.192856 0.0594882i
\(300\) −3.91756 17.1640i −0.226181 0.990962i
\(301\) 0.0558445 0.215784i 0.00321882 0.0124376i
\(302\) 9.13612 40.0280i 0.525725 2.30335i
\(303\) −1.48035 19.7539i −0.0850437 1.13483i
\(304\) −1.99560 0.615561i −0.114456 0.0353049i
\(305\) −0.559985 + 7.47248i −0.0320646 + 0.427873i
\(306\) −0.250827 + 0.639096i −0.0143388 + 0.0365347i
\(307\) 27.0697 13.0361i 1.54495 0.744007i 0.549161 0.835717i \(-0.314947\pi\)
0.995786 + 0.0917096i \(0.0292332\pi\)
\(308\) −22.7652 4.10595i −1.29717 0.233958i
\(309\) −11.6369 5.60403i −0.662000 0.318802i
\(310\) −1.71361 + 1.59000i −0.0973265 + 0.0903058i
\(311\) 1.45981 0.220031i 0.0827781 0.0124768i −0.107523 0.994203i \(-0.534292\pi\)
0.190301 + 0.981726i \(0.439054\pi\)
\(312\) −0.395860 + 0.685649i −0.0224111 + 0.0388172i
\(313\) 2.00999 + 3.48140i 0.113611 + 0.196781i 0.917224 0.398372i \(-0.130425\pi\)
−0.803612 + 0.595153i \(0.797091\pi\)
\(314\) −27.4771 34.4553i −1.55063 1.94442i
\(315\) 0.0115496 0.111037i 0.000650746 0.00625625i
\(316\) −8.52739 + 10.6930i −0.479703 + 0.601529i
\(317\) −25.8533 3.89675i −1.45206 0.218864i −0.624848 0.780746i \(-0.714839\pi\)
−0.827217 + 0.561883i \(0.810077\pi\)
\(318\) −38.1696 + 26.0236i −2.14044 + 1.45933i
\(319\) 9.46800 6.45517i 0.530106 0.361420i
\(320\) 6.53269 + 0.984645i 0.365189 + 0.0550433i
\(321\) 5.35457 6.71442i 0.298863 0.374762i
\(322\) −6.41773 17.8494i −0.357646 0.994708i
\(323\) 2.01006 + 2.52053i 0.111843 + 0.140246i
\(324\) 10.1923 + 17.6535i 0.566237 + 0.980752i
\(325\) 2.26586 3.92459i 0.125688 0.217697i
\(326\) −42.2438 + 6.36723i −2.33967 + 0.352648i
\(327\) 23.9339 22.2074i 1.32355 1.22807i
\(328\) −3.82761 1.84328i −0.211344 0.101778i
\(329\) 12.6814 + 23.5053i 0.699148 + 1.29589i
\(330\) −8.72723 + 4.20281i −0.480418 + 0.231357i
\(331\) −4.71913 + 12.0241i −0.259387 + 0.660907i −0.999938 0.0110926i \(-0.996469\pi\)
0.740552 + 0.671999i \(0.234564\pi\)
\(332\) −0.856192 + 11.4251i −0.0469896 + 0.627033i
\(333\) 0.522033 + 0.161026i 0.0286072 + 0.00882416i
\(334\) −0.683342 9.11857i −0.0373908 0.498946i
\(335\) 0.479063 2.09891i 0.0261740 0.114676i
\(336\) −14.4347 7.47167i −0.787479 0.407613i
\(337\) −2.70582 11.8550i −0.147396 0.645782i −0.993603 0.112929i \(-0.963977\pi\)
0.846208 0.532853i \(-0.178880\pi\)
\(338\) −1.96306 + 0.605523i −0.106776 + 0.0329361i
\(339\) −0.0735518 0.187407i −0.00399479 0.0101786i
\(340\) −6.03647 5.60103i −0.327374 0.303759i
\(341\) −5.41048 3.68880i −0.292994 0.199760i
\(342\) −0.0753458 −0.00407424
\(343\) −2.54532 18.3445i −0.137434 0.990511i
\(344\) 0.0381188 0.00205523
\(345\) −3.45253 2.35390i −0.185878 0.126729i
\(346\) −28.0822 26.0565i −1.50971 1.40080i
\(347\) 10.3457 + 26.3605i 0.555388 + 1.41510i 0.882587 + 0.470149i \(0.155800\pi\)
−0.327200 + 0.944955i \(0.606105\pi\)
\(348\) −10.8026 + 3.33215i −0.579079 + 0.178622i
\(349\) −5.58935 24.4885i −0.299191 1.31084i −0.871335 0.490688i \(-0.836745\pi\)
0.572144 0.820153i \(-0.306112\pi\)
\(350\) −21.8743 11.3225i −1.16923 0.605215i
\(351\) −1.14407 + 5.01248i −0.0610658 + 0.267547i
\(352\) 2.38889 + 31.8775i 0.127328 + 1.69908i
\(353\) 12.5545 + 3.87256i 0.668210 + 0.206115i 0.610257 0.792204i \(-0.291066\pi\)
0.0579534 + 0.998319i \(0.481543\pi\)
\(354\) 0.303638 4.05177i 0.0161382 0.215349i
\(355\) 1.88503 4.80299i 0.100047 0.254916i
\(356\) −15.3178 + 7.37669i −0.811844 + 0.390964i
\(357\) 11.9138 + 22.0826i 0.630546 + 1.16873i
\(358\) −41.3649 19.9203i −2.18620 1.05282i
\(359\) −14.5860 + 13.5338i −0.769819 + 0.714287i −0.963773 0.266723i \(-0.914059\pi\)
0.193955 + 0.981011i \(0.437869\pi\)
\(360\) 0.0188787 0.00284550i 0.000994993 0.000149971i
\(361\) 9.32310 16.1481i 0.490689 0.849899i
\(362\) 10.5902 + 18.3427i 0.556607 + 0.964072i
\(363\) −4.91745 6.16629i −0.258099 0.323646i
\(364\) 1.98751 + 5.52779i 0.104174 + 0.289735i
\(365\) −6.64941 + 8.33809i −0.348046 + 0.436436i
\(366\) 38.9226 + 5.86664i 2.03452 + 0.306654i
\(367\) 10.3915 7.08479i 0.542431 0.369823i −0.260891 0.965368i \(-0.584016\pi\)
0.803322 + 0.595545i \(0.203064\pi\)
\(368\) −10.1237 + 6.90222i −0.527734 + 0.359803i
\(369\) 0.572473 + 0.0862865i 0.0298018 + 0.00449189i
\(370\) −7.76556 + 9.73771i −0.403712 + 0.506239i
\(371\) −3.51783 + 33.8202i −0.182636 + 1.75586i
\(372\) 4.02782 + 5.05073i 0.208833 + 0.261868i
\(373\) −12.1292 21.0084i −0.628026 1.08777i −0.987947 0.154790i \(-0.950530\pi\)
0.359922 0.932983i \(-0.382803\pi\)
\(374\) 21.9234 37.9724i 1.13363 1.96351i
\(375\) −11.2855 + 1.70102i −0.582781 + 0.0878400i
\(376\) −3.34826 + 3.10673i −0.172673 + 0.160218i
\(377\) −2.62176 1.26257i −0.135027 0.0650257i
\(378\) 27.5009 + 4.96010i 1.41450 + 0.255120i
\(379\) 23.3163 11.2285i 1.19768 0.576771i 0.274664 0.961540i \(-0.411433\pi\)
0.923013 + 0.384769i \(0.125719\pi\)
\(380\) 0.330165 0.841247i 0.0169371 0.0431550i
\(381\) −2.30044 + 30.6972i −0.117855 + 1.57267i
\(382\) 18.2882 + 5.64115i 0.935704 + 0.288627i
\(383\) 2.32079 + 30.9688i 0.118587 + 1.58243i 0.666247 + 0.745732i \(0.267900\pi\)
−0.547660 + 0.836701i \(0.684481\pi\)
\(384\) 1.40085 6.13751i 0.0714866 0.313203i
\(385\) −1.78629 + 6.90225i −0.0910378 + 0.351771i
\(386\) −5.24859 22.9956i −0.267146 1.17044i
\(387\) −0.00496386 + 0.00153115i −0.000252327 + 7.78326e-5i
\(388\) 4.89615 + 12.4752i 0.248564 + 0.633332i
\(389\) −22.7994 21.1548i −1.15598 1.07259i −0.996346 0.0854115i \(-0.972780\pi\)
−0.159630 0.987177i \(-0.551030\pi\)
\(390\) 2.03237 + 1.38564i 0.102913 + 0.0701648i
\(391\) 18.9148 0.956564
\(392\) 2.92813 1.20743i 0.147893 0.0609847i
\(393\) 17.0413 0.859620
\(394\) 9.17745 + 6.25708i 0.462353 + 0.315227i
\(395\) 3.09006 + 2.86716i 0.155478 + 0.144263i
\(396\) 0.196961 + 0.501848i 0.00989765 + 0.0252188i
\(397\) 7.71796 2.38068i 0.387353 0.119483i −0.0949608 0.995481i \(-0.530273\pi\)
0.482314 + 0.875998i \(0.339796\pi\)
\(398\) 0.231433 + 1.01397i 0.0116007 + 0.0508259i
\(399\) −1.77825 + 2.10248i −0.0890237 + 0.105256i
\(400\) −3.54049 + 15.5119i −0.177024 + 0.775595i
\(401\) −0.361598 4.82520i −0.0180574 0.240959i −0.998928 0.0462967i \(-0.985258\pi\)
0.980870 0.194662i \(-0.0623610\pi\)
\(402\) −10.8065 3.33336i −0.538979 0.166253i
\(403\) −0.124267 + 1.65823i −0.00619017 + 0.0826021i
\(404\) 9.18312 23.3982i 0.456877 1.16410i
\(405\) 5.66053 2.72597i 0.281274 0.135454i
\(406\) −6.20047 + 14.5501i −0.307724 + 0.722108i
\(407\) −31.4345 15.1380i −1.55815 0.750365i
\(408\) −3.14560 + 2.91869i −0.155730 + 0.144497i
\(409\) 4.54774 0.685461i 0.224871 0.0338939i −0.0356401 0.999365i \(-0.511347\pi\)
0.260511 + 0.965471i \(0.416109\pi\)
\(410\) −6.59952 + 11.4307i −0.325927 + 0.564523i
\(411\) −13.9464 24.1558i −0.687924 1.19152i
\(412\) −10.2184 12.8134i −0.503422 0.631271i
\(413\) −2.13271 2.09652i −0.104944 0.103163i
\(414\) −0.275621 + 0.345618i −0.0135460 + 0.0169862i
\(415\) 3.49175 + 0.526297i 0.171403 + 0.0258349i
\(416\) 6.70711 4.57283i 0.328843 0.224202i
\(417\) −10.7778 + 7.34815i −0.527789 + 0.359841i
\(418\) 4.75821 + 0.717184i 0.232731 + 0.0350786i
\(419\) −6.70871 + 8.41246i −0.327742 + 0.410975i −0.918215 0.396082i \(-0.870370\pi\)
0.590473 + 0.807057i \(0.298941\pi\)
\(420\) 3.69101 5.98734i 0.180103 0.292152i
\(421\) 14.1989 + 17.8049i 0.692014 + 0.867758i 0.996399 0.0847914i \(-0.0270224\pi\)
−0.304385 + 0.952549i \(0.598451\pi\)
\(422\) −4.58851 7.94754i −0.223365 0.386880i
\(423\) 0.311222 0.539053i 0.0151321 0.0262096i
\(424\) −5.75014 + 0.866695i −0.279252 + 0.0420904i
\(425\) 18.0051 16.7063i 0.873377 0.810376i
\(426\) −24.4191 11.7596i −1.18311 0.569755i
\(427\) 21.7976 19.0854i 1.05486 0.923608i
\(428\) 9.81814 4.72817i 0.474578 0.228545i
\(429\) −2.51737 + 6.41416i −0.121540 + 0.309678i
\(430\) 0.00885035 0.118100i 0.000426802 0.00569527i
\(431\) 12.8497 + 3.96361i 0.618949 + 0.190921i 0.588344 0.808611i \(-0.299780\pi\)
0.0306056 + 0.999532i \(0.490256\pi\)
\(432\) −1.34898 18.0008i −0.0649027 0.866066i
\(433\) −1.67778 + 7.35082i −0.0806288 + 0.353258i −0.999109 0.0422097i \(-0.986560\pi\)
0.918480 + 0.395467i \(0.129417\pi\)
\(434\) 9.03436 + 0.260650i 0.433663 + 0.0125116i
\(435\) 0.775319 + 3.39689i 0.0371737 + 0.162869i
\(436\) 39.5883 12.2114i 1.89594 0.584819i
\(437\) 0.758377 + 1.93231i 0.0362781 + 0.0924350i
\(438\) 41.0665 + 38.1041i 1.96223 + 1.82069i
\(439\) −25.2827 17.2374i −1.20668 0.822697i −0.218472 0.975843i \(-0.570107\pi\)
−0.988204 + 0.153146i \(0.951059\pi\)
\(440\) −1.21930 −0.0581280
\(441\) −0.332803 + 0.274849i −0.0158478 + 0.0130881i
\(442\) −11.1344 −0.529609
\(443\) −3.46985 2.36571i −0.164858 0.112398i 0.478081 0.878316i \(-0.341333\pi\)
−0.642939 + 0.765918i \(0.722285\pi\)
\(444\) 25.2314 + 23.4113i 1.19743 + 1.11105i
\(445\) 1.91440 + 4.87781i 0.0907512 + 0.231230i
\(446\) 23.4883 7.24518i 1.11220 0.343069i
\(447\) −4.25361 18.6363i −0.201189 0.881466i
\(448\) −15.3432 20.4212i −0.724899 0.964813i
\(449\) 0.0130632 0.0572335i 0.000616489 0.00270102i −0.974619 0.223871i \(-0.928130\pi\)
0.975235 + 0.221170i \(0.0709876\pi\)
\(450\) 0.0428980 + 0.572434i 0.00202223 + 0.0269848i
\(451\) −35.3312 10.8982i −1.66368 0.513178i
\(452\) 0.0190904 0.254743i 0.000897936 0.0119821i
\(453\) −12.7761 + 32.5530i −0.600274 + 1.52947i
\(454\) 31.7181 15.2746i 1.48860 0.716874i
\(455\) 1.74473 0.483538i 0.0817942 0.0226686i
\(456\) −0.424290 0.204327i −0.0198692 0.00956849i
\(457\) −23.6019 + 21.8994i −1.10405 + 1.02441i −0.104498 + 0.994525i \(0.533324\pi\)
−0.999553 + 0.0298847i \(0.990486\pi\)
\(458\) 31.8077 4.79424i 1.48628 0.224020i
\(459\) −13.9331 + 24.1329i −0.650342 + 1.12643i
\(460\) −2.65110 4.59184i −0.123608 0.214096i
\(461\) −7.67647 9.62599i −0.357529 0.448327i 0.570242 0.821477i \(-0.306849\pi\)
−0.927771 + 0.373149i \(0.878278\pi\)
\(462\) 35.4542 + 12.0665i 1.64948 + 0.561382i
\(463\) 13.0286 16.3374i 0.605491 0.759262i −0.380731 0.924686i \(-0.624328\pi\)
0.986223 + 0.165424i \(0.0528991\pi\)
\(464\) 10.1026 + 1.52272i 0.469001 + 0.0706905i
\(465\) 1.64510 1.12161i 0.0762897 0.0520134i
\(466\) −6.24012 + 4.25444i −0.289068 + 0.197083i
\(467\) 20.8655 + 3.14496i 0.965538 + 0.145532i 0.612841 0.790206i \(-0.290026\pi\)
0.352697 + 0.935738i \(0.385265\pi\)
\(468\) 0.0853572 0.107035i 0.00394564 0.00494768i
\(469\) −7.00982 + 4.48868i −0.323683 + 0.207268i
\(470\) 8.84788 + 11.0949i 0.408122 + 0.511769i
\(471\) 18.7682 + 32.5074i 0.864791 + 1.49786i
\(472\) 0.255727 0.442932i 0.0117708 0.0203876i
\(473\) 0.328050 0.0494455i 0.0150837 0.00227351i
\(474\) 16.2318 15.0609i 0.745552 0.691771i
\(475\) 2.42860 + 1.16955i 0.111432 + 0.0536626i
\(476\) 1.46267 + 31.8046i 0.0670415 + 1.45776i
\(477\) 0.713974 0.343832i 0.0326906 0.0157430i
\(478\) −5.60742 + 14.2875i −0.256478 + 0.653494i
\(479\) 1.55656 20.7709i 0.0711211 0.949046i −0.841505 0.540250i \(-0.818330\pi\)
0.912626 0.408796i \(-0.134051\pi\)
\(480\) −9.28797 2.86496i −0.423936 0.130767i
\(481\) 0.662097 + 8.83506i 0.0301890 + 0.402844i
\(482\) 4.34085 19.0185i 0.197720 0.866270i
\(483\) 3.13930 + 15.8480i 0.142843 + 0.721110i
\(484\) −2.22692 9.75679i −0.101224 0.443491i
\(485\) 3.94699 1.21749i 0.179224 0.0552832i
\(486\) −0.480861 1.22521i −0.0218123 0.0555768i
\(487\) −21.7493 20.1804i −0.985554 0.914460i 0.0107860 0.999942i \(-0.496567\pi\)
−0.996340 + 0.0854816i \(0.972757\pi\)
\(488\) 4.09384 + 2.79113i 0.185319 + 0.126349i
\(489\) 36.3873 1.64549
\(490\) −3.06102 9.35227i −0.138283 0.422493i
\(491\) 18.1131 0.817431 0.408715 0.912662i \(-0.365977\pi\)
0.408715 + 0.912662i \(0.365977\pi\)
\(492\) 30.1378 + 20.5476i 1.35872 + 0.926358i
\(493\) −11.5615 10.7275i −0.520704 0.483143i
\(494\) −0.446426 1.13747i −0.0200856 0.0511774i
\(495\) 0.158778 0.0489766i 0.00713655 0.00220133i
\(496\) −1.29915 5.69194i −0.0583335 0.255576i
\(497\) −18.2156 + 8.13361i −0.817080 + 0.364842i
\(498\) 4.12754 18.0839i 0.184960 0.810361i
\(499\) 0.967904 + 12.9158i 0.0433293 + 0.578190i 0.976044 + 0.217574i \(0.0698144\pi\)
−0.932714 + 0.360616i \(0.882567\pi\)
\(500\) −13.8384 4.26859i −0.618873 0.190897i
\(501\) −0.582033 + 7.76669i −0.0260033 + 0.346990i
\(502\) 7.34936 18.7259i 0.328018 0.835777i
\(503\) 9.35480 4.50503i 0.417110 0.200870i −0.213545 0.976933i \(-0.568501\pi\)
0.630654 + 0.776064i \(0.282787\pi\)
\(504\) −0.0597650 0.0433236i −0.00266215 0.00192978i
\(505\) −6.97987 3.36133i −0.310600 0.149577i
\(506\) 20.6957 19.2028i 0.920034 0.853667i
\(507\) 1.73022 0.260788i 0.0768416 0.0115820i
\(508\) −19.5303 + 33.8275i −0.866517 + 1.50085i
\(509\) 1.77772 + 3.07911i 0.0787962 + 0.136479i 0.902731 0.430206i \(-0.141559\pi\)
−0.823935 + 0.566685i \(0.808226\pi\)
\(510\) 8.31234 + 10.4233i 0.368077 + 0.461553i
\(511\) 40.9336 4.96718i 1.81080 0.219735i
\(512\) −19.7510 + 24.7670i −0.872879 + 1.09456i
\(513\) −3.02402 0.455797i −0.133514 0.0201239i
\(514\) −11.2641 + 7.67973i −0.496838 + 0.338738i
\(515\) −4.17352 + 2.84546i −0.183907 + 0.125386i
\(516\) −0.323631 0.0487795i −0.0142471 0.00214740i
\(517\) −24.7852 + 31.0796i −1.09005 + 1.36688i
\(518\) 47.8046 5.80095i 2.10041 0.254879i
\(519\) 20.3439 + 25.5105i 0.893000 + 1.11979i
\(520\) 0.154814 + 0.268146i 0.00678906 + 0.0117590i
\(521\) −1.40762 + 2.43806i −0.0616688 + 0.106814i −0.895211 0.445642i \(-0.852976\pi\)
0.833543 + 0.552455i \(0.186309\pi\)
\(522\) 0.364487 0.0549376i 0.0159532 0.00240455i
\(523\) 10.3993 9.64918i 0.454732 0.421929i −0.419263 0.907865i \(-0.637711\pi\)
0.873995 + 0.485935i \(0.161521\pi\)
\(524\) 19.4821 + 9.38211i 0.851081 + 0.409859i
\(525\) 16.9859 + 12.3131i 0.741326 + 0.537386i
\(526\) −6.09527 + 2.93533i −0.265767 + 0.127986i
\(527\) −3.29273 + 8.38973i −0.143433 + 0.365462i
\(528\) 1.80789 24.1247i 0.0786785 1.04989i
\(529\) −10.3403 3.18956i −0.449578 0.138677i
\(530\) 1.35014 + 18.0163i 0.0586461 + 0.782578i
\(531\) −0.0155093 + 0.0679507i −0.000673047 + 0.00294881i
\(532\) −3.19047 + 1.42461i −0.138324 + 0.0617646i
\(533\) 2.08928 + 9.15371i 0.0904966 + 0.396491i
\(534\) 26.3025 8.11325i 1.13822 0.351095i
\(535\) −1.22705 3.12648i −0.0530502 0.135170i
\(536\) −1.04352 0.968244i −0.0450732 0.0418218i
\(537\) 32.3100 + 22.0286i 1.39428 + 0.950604i
\(538\) −57.7668 −2.49050
\(539\) 23.6332 14.1893i 1.01795 0.611178i
\(540\) 7.81145 0.336151
\(541\) −21.0077 14.3228i −0.903193 0.615786i 0.0201360 0.999797i \(-0.493590\pi\)
−0.923329 + 0.384011i \(0.874542\pi\)
\(542\) −6.29986 5.84542i −0.270602 0.251082i
\(543\) −6.59084 16.7932i −0.282840 0.720665i
\(544\) 42.0428 12.9685i 1.80257 0.556019i
\(545\) −2.84132 12.4486i −0.121709 0.533241i
\(546\) −1.84798 9.32909i −0.0790863 0.399248i
\(547\) 0.319778 1.40104i 0.0136727 0.0599042i −0.967631 0.252368i \(-0.918791\pi\)
0.981304 + 0.192464i \(0.0616478\pi\)
\(548\) −2.64491 35.2939i −0.112985 1.50768i
\(549\) −0.645215 0.199022i −0.0275371 0.00849407i
\(550\) 2.73968 36.5584i 0.116820 1.55886i
\(551\) 0.632357 1.61122i 0.0269393 0.0686403i
\(552\) −2.48935 + 1.19881i −0.105954 + 0.0510246i
\(553\) −0.748740 16.2808i −0.0318397 0.692328i
\(554\) 36.7983 + 17.7211i 1.56341 + 0.752899i
\(555\) 7.77656 7.21559i 0.330097 0.306285i
\(556\) −16.3670 + 2.46693i −0.694115 + 0.104621i
\(557\) −1.31155 + 2.27167i −0.0555721 + 0.0962538i −0.892473 0.451100i \(-0.851032\pi\)
0.836901 + 0.547354i \(0.184365\pi\)
\(558\) −0.105319 0.182418i −0.00445851 0.00772237i
\(559\) −0.0525263 0.0658658i −0.00222162 0.00278583i
\(560\) −5.35316 + 3.42786i −0.226212 + 0.144853i
\(561\) −23.2850 + 29.1984i −0.983093 + 1.23276i
\(562\) 11.4060 + 1.71917i 0.481132 + 0.0725190i
\(563\) 18.2474 12.4409i 0.769036 0.524320i −0.114082 0.993471i \(-0.536393\pi\)
0.883118 + 0.469151i \(0.155440\pi\)
\(564\) 32.4025 22.0917i 1.36439 0.930227i
\(565\) −0.0778551 0.0117348i −0.00327539 0.000493685i
\(566\) −32.1317 + 40.2919i −1.35060 + 1.69359i
\(567\) −22.9958 7.82636i −0.965733 0.328676i
\(568\) −2.12713 2.66734i −0.0892524 0.111919i
\(569\) 15.5352 + 26.9078i 0.651270 + 1.12803i 0.982815 + 0.184593i \(0.0590966\pi\)
−0.331546 + 0.943439i \(0.607570\pi\)
\(570\) −0.731556 + 1.26709i −0.0306415 + 0.0530727i
\(571\) 4.11039 0.619541i 0.172014 0.0259270i −0.0624703 0.998047i \(-0.519898\pi\)
0.234485 + 0.972120i \(0.424660\pi\)
\(572\) −6.40926 + 5.94692i −0.267984 + 0.248653i
\(573\) −14.6867 7.07276i −0.613548 0.295469i
\(574\) 49.1784 13.6294i 2.05267 0.568879i
\(575\) 14.2488 6.86187i 0.594217 0.286160i
\(576\) −0.217485 + 0.554142i −0.00906186 + 0.0230892i
\(577\) −1.84044 + 24.5590i −0.0766186 + 1.02240i 0.817896 + 0.575366i \(0.195140\pi\)
−0.894515 + 0.447038i \(0.852479\pi\)
\(578\) −24.2951 7.49406i −1.01054 0.311712i
\(579\) 1.50133 + 20.0339i 0.0623932 + 0.832579i
\(580\) −0.983794 + 4.31028i −0.0408498 + 0.178975i
\(581\) −8.20101 10.9152i −0.340235 0.452841i
\(582\) −4.82806 21.1531i −0.200129 0.876825i
\(583\) −48.3613 + 14.9175i −2.00292 + 0.617820i
\(584\) 2.57630 + 6.56430i 0.106608 + 0.271633i
\(585\) −0.0309308 0.0286996i −0.00127883 0.00118658i
\(586\) 18.1106 + 12.3476i 0.748141 + 0.510074i
\(587\) −28.2226 −1.16487 −0.582436 0.812877i \(-0.697900\pi\)
−0.582436 + 0.812877i \(0.697900\pi\)
\(588\) −26.4051 + 6.50415i −1.08893 + 0.268226i
\(589\) −0.989102 −0.0407552
\(590\) −1.31292 0.895131i −0.0540519 0.0368519i
\(591\) −6.93522 6.43495i −0.285277 0.264698i
\(592\) −11.3646 28.9564i −0.467081 1.19010i
\(593\) −0.766351 + 0.236388i −0.0314702 + 0.00970728i −0.310450 0.950590i \(-0.600480\pi\)
0.278980 + 0.960297i \(0.410004\pi\)
\(594\) 9.25531 + 40.5502i 0.379750 + 1.66379i
\(595\) 9.80877 + 0.282992i 0.402120 + 0.0116015i
\(596\) 5.39737 23.6474i 0.221085 0.968635i
\(597\) −0.0662001 0.883379i −0.00270939 0.0361543i
\(598\) −6.85075 2.11318i −0.280148 0.0864142i
\(599\) 3.12932 41.7578i 0.127860 1.70618i −0.452455 0.891787i \(-0.649452\pi\)
0.580316 0.814392i \(-0.302929\pi\)
\(600\) −1.31079 + 3.33984i −0.0535128 + 0.136348i
\(601\) −4.07386 + 1.96187i −0.166176 + 0.0800262i −0.515123 0.857116i \(-0.672254\pi\)
0.348947 + 0.937143i \(0.386539\pi\)
\(602\) −0.344503 + 0.301638i −0.0140409 + 0.0122938i
\(603\) 0.174780 + 0.0841695i 0.00711758 + 0.00342765i
\(604\) −32.5281 + 30.1817i −1.32355 + 1.22808i
\(605\) −3.05002 + 0.459716i −0.124001 + 0.0186901i
\(606\) −20.3473 + 35.2426i −0.826553 + 1.43163i
\(607\) −18.1210 31.3865i −0.735509 1.27394i −0.954500 0.298212i \(-0.903610\pi\)
0.218991 0.975727i \(-0.429723\pi\)
\(608\) 3.01052 + 3.77507i 0.122093 + 0.153099i
\(609\) 7.06930 11.4674i 0.286463 0.464682i
\(610\) 9.59797 12.0355i 0.388610 0.487302i
\(611\) 9.98192 + 1.50453i 0.403825 + 0.0608669i
\(612\) 0.613076 0.417988i 0.0247821 0.0168962i
\(613\) 12.5462 8.55387i 0.506737 0.345488i −0.282812 0.959175i \(-0.591267\pi\)
0.789549 + 0.613688i \(0.210315\pi\)
\(614\) −61.0329 9.19923i −2.46309 0.371251i
\(615\) 7.00941 8.78952i 0.282647 0.354428i
\(616\) 3.36188 + 3.30483i 0.135454 + 0.133155i
\(617\) −4.70151 5.89550i −0.189275 0.237344i 0.678135 0.734938i \(-0.262789\pi\)
−0.867410 + 0.497594i \(0.834217\pi\)
\(618\) 13.2668 + 22.9788i 0.533670 + 0.924343i
\(619\) 21.1670 36.6624i 0.850775 1.47358i −0.0297357 0.999558i \(-0.509467\pi\)
0.880510 0.474027i \(-0.157200\pi\)
\(620\) 2.49823 0.376548i 0.100331 0.0151225i
\(621\) −13.1529 + 12.2041i −0.527806 + 0.489732i
\(622\) −2.73245 1.31588i −0.109561 0.0527620i
\(623\) 7.94253 18.6380i 0.318211 0.746715i
\(624\) −5.53499 + 2.66551i −0.221577 + 0.106706i
\(625\) 6.64746 16.9375i 0.265898 0.677498i
\(626\) 0.617147 8.23525i 0.0246661 0.329147i
\(627\) −3.91646 1.20807i −0.156409 0.0482456i
\(628\) 3.55935 + 47.4963i 0.142034 + 1.89531i
\(629\) −10.6855 + 46.8162i −0.426058 + 1.86668i
\(630\) −0.148101 + 0.175105i −0.00590049 + 0.00697635i
\(631\) −7.22254 31.6440i −0.287525 1.25973i −0.887910 0.460018i \(-0.847843\pi\)
0.600385 0.799711i \(-0.295014\pi\)
\(632\) 2.66343 0.821558i 0.105945 0.0326798i
\(633\) 2.85568 + 7.27616i 0.113503 + 0.289201i
\(634\) 39.3729 + 36.5327i 1.56370 + 1.45090i
\(635\) 9.94697 + 6.78173i 0.394733 + 0.269125i
\(636\) 49.9281 1.97978
\(637\) −6.12119 3.39574i −0.242530 0.134544i
\(638\) −23.5408 −0.931991
\(639\) 0.384137 + 0.261900i 0.0151962 + 0.0103606i
\(640\) −1.80478 1.67459i −0.0713402 0.0661940i
\(641\) 4.60958 + 11.7450i 0.182068 + 0.463900i 0.992546 0.121867i \(-0.0388883\pi\)
−0.810479 + 0.585768i \(0.800793\pi\)
\(642\) −16.8589 + 5.20027i −0.665366 + 0.205238i
\(643\) 3.45169 + 15.1228i 0.136121 + 0.596386i 0.996266 + 0.0863361i \(0.0275159\pi\)
−0.860145 + 0.510050i \(0.829627\pi\)
\(644\) −5.13619 + 19.8463i −0.202394 + 0.782053i
\(645\) −0.0224463 + 0.0983437i −0.000883823 + 0.00387228i
\(646\) −0.494930 6.60438i −0.0194728 0.259846i
\(647\) 26.8472 + 8.28125i 1.05547 + 0.325570i 0.773462 0.633842i \(-0.218523\pi\)
0.282008 + 0.959412i \(0.408999\pi\)
\(648\) 0.310446 4.14262i 0.0121955 0.162737i
\(649\) 1.62623 4.14357i 0.0638351 0.162649i
\(650\) −8.38770 + 4.03930i −0.328993 + 0.158435i
\(651\) −7.57593 1.36640i −0.296924 0.0535535i
\(652\) 41.5991 + 20.0331i 1.62915 + 0.784556i
\(653\) −28.8949 + 26.8105i −1.13074 + 1.04918i −0.132427 + 0.991193i \(0.542277\pi\)
−0.998317 + 0.0579852i \(0.981532\pi\)
\(654\) −66.3240 + 9.99673i −2.59347 + 0.390903i
\(655\) 3.33229 5.77170i 0.130203 0.225519i
\(656\) −16.4825 28.5485i −0.643534 1.11463i
\(657\) −0.599160 0.751323i −0.0233755 0.0293119i
\(658\) 5.67638 54.5725i 0.221288 2.12746i
\(659\) 4.17158 5.23100i 0.162502 0.203771i −0.693914 0.720058i \(-0.744115\pi\)
0.856415 + 0.516288i \(0.172686\pi\)
\(660\) 10.3519 + 1.56030i 0.402949 + 0.0607348i
\(661\) −7.24951 + 4.94263i −0.281973 + 0.192246i −0.696045 0.717998i \(-0.745059\pi\)
0.414072 + 0.910244i \(0.364106\pi\)
\(662\) 21.9249 14.9482i 0.852137 0.580977i
\(663\) 9.37774 + 1.41347i 0.364201 + 0.0548945i
\(664\) 1.45578 1.82549i 0.0564951 0.0708426i
\(665\) 0.364365 + 1.01340i 0.0141295 + 0.0392978i
\(666\) −0.699734 0.877438i −0.0271141 0.0340000i
\(667\) −5.07759 8.79464i −0.196605 0.340530i
\(668\) −4.94136 + 8.55868i −0.191187 + 0.331145i
\(669\) −20.7023 + 3.12037i −0.800398 + 0.120641i
\(670\) −3.24209 + 3.00822i −0.125253 + 0.116218i
\(671\) 38.8519 + 18.7101i 1.49986 + 0.722295i
\(672\) 17.8436 + 33.0736i 0.688334 + 1.27584i
\(673\) 13.8593 6.67429i 0.534237 0.257275i −0.147257 0.989098i \(-0.547045\pi\)
0.681495 + 0.731823i \(0.261330\pi\)
\(674\) −9.12633 + 23.2535i −0.351533 + 0.895692i
\(675\) −1.74117 + 23.2342i −0.0670175 + 0.894286i
\(676\) 2.12161 + 0.654431i 0.0816005 + 0.0251704i
\(677\) −3.22346 43.0141i −0.123888 1.65317i −0.619776 0.784779i \(-0.712776\pi\)
0.495888 0.868386i \(-0.334843\pi\)
\(678\) −0.0920312 + 0.403215i −0.00353444 + 0.0154854i
\(679\) −14.1826 7.34116i −0.544278 0.281728i
\(680\) 0.373430 + 1.63610i 0.0143204 + 0.0627418i
\(681\) −28.6530 + 8.83828i −1.09799 + 0.338684i
\(682\) 4.91471 + 12.5225i 0.188194 + 0.479510i
\(683\) −19.5766 18.1644i −0.749077 0.695042i 0.210153 0.977669i \(-0.432604\pi\)
−0.959230 + 0.282627i \(0.908794\pi\)
\(684\) 0.0672819 + 0.0458720i 0.00257259 + 0.00175396i
\(685\) −10.9084 −0.416789
\(686\) −16.9087 + 34.0829i −0.645578 + 1.30129i
\(687\) −27.3980 −1.04530
\(688\) 0.244389 + 0.166621i 0.00931723 + 0.00635238i
\(689\) 9.42104 + 8.74145i 0.358913 + 0.333023i
\(690\) 3.13617 + 7.99083i 0.119392 + 0.304206i
\(691\) 14.5350 4.48346i 0.552938 0.170559i −0.00567989 0.999984i \(-0.501808\pi\)
0.558618 + 0.829425i \(0.311332\pi\)
\(692\) 9.21299 + 40.3647i 0.350225 + 1.53444i
\(693\) −0.570533 0.295318i −0.0216727 0.0112182i
\(694\) 12.9450 56.7158i 0.491386 2.15290i
\(695\) 0.381231 + 5.08718i 0.0144609 + 0.192968i
\(696\) 2.20149 + 0.679071i 0.0834474 + 0.0257401i
\(697\) −3.80293 + 50.7465i −0.144046 + 1.92216i
\(698\) −18.8520 + 48.0342i −0.713560 + 1.81812i
\(699\) 5.79571 2.79107i 0.219214 0.105568i
\(700\) 12.6398 + 23.4283i 0.477741 + 0.885505i
\(701\) −42.1553 20.3009i −1.59218 0.766755i −0.592924 0.805258i \(-0.702027\pi\)
−0.999258 + 0.0385032i \(0.987741\pi\)
\(702\) 7.74256 7.18404i 0.292224 0.271144i
\(703\) −5.21110 + 0.785447i −0.196540 + 0.0296237i
\(704\) 19.0091 32.9248i 0.716433 1.24090i
\(705\) −6.04351 10.4677i −0.227612 0.394235i
\(706\) −16.8281 21.1018i −0.633334 0.794176i
\(707\) 10.1344 + 28.1863i 0.381142 + 1.06006i
\(708\) −2.73794 + 3.43327i −0.102898 + 0.129030i
\(709\) −6.70202 1.01017i −0.251700 0.0379376i 0.0219803 0.999758i \(-0.493003\pi\)
−0.273680 + 0.961821i \(0.588241\pi\)
\(710\) −8.75781 + 5.97097i −0.328675 + 0.224087i
\(711\) −0.313833 + 0.213968i −0.0117696 + 0.00802441i
\(712\) 3.42610 + 0.516401i 0.128399 + 0.0193530i
\(713\) −3.61821 + 4.53709i −0.135503 + 0.169915i
\(714\) 5.33280 51.2693i 0.199575 1.91871i
\(715\) 1.68015 + 2.10684i 0.0628341 + 0.0787914i
\(716\) 24.8099 + 42.9721i 0.927191 + 1.60594i
\(717\) 6.53648 11.3215i 0.244109 0.422810i
\(718\) 40.4196 6.09228i 1.50845 0.227362i
\(719\) 6.57462 6.10036i 0.245192 0.227505i −0.547997 0.836480i \(-0.684610\pi\)
0.793189 + 0.608975i \(0.208419\pi\)
\(720\) 0.133474 + 0.0642775i 0.00497426 + 0.00239548i
\(721\) 19.2197 + 3.46648i 0.715779 + 0.129099i
\(722\) −34.5119 + 16.6201i −1.28440 + 0.618535i
\(723\) −6.07033 + 15.4669i −0.225758 + 0.575222i
\(724\) 1.71065 22.8271i 0.0635759 0.848362i
\(725\) −12.6011 3.88694i −0.467995 0.144357i
\(726\) 1.21081 + 16.1571i 0.0449373 + 0.599647i
\(727\) −4.83178 + 21.1694i −0.179201 + 0.785130i 0.802799 + 0.596249i \(0.203343\pi\)
−0.982000 + 0.188881i \(0.939514\pi\)
\(728\) 0.299934 1.15895i 0.0111163 0.0429535i
\(729\) −5.87955 25.7600i −0.217761 0.954074i
\(730\) 20.9357 6.45780i 0.774864 0.239014i
\(731\) −0.166818 0.425046i −0.00616999 0.0157209i
\(732\) −31.1852 28.9356i −1.15264 1.06949i
\(733\) −15.3810 10.4866i −0.568110 0.387331i 0.244928 0.969541i \(-0.421236\pi\)
−0.813038 + 0.582210i \(0.802188\pi\)
\(734\) −25.8369 −0.953659
\(735\) 1.39086 + 8.26536i 0.0513025 + 0.304872i
\(736\) 28.3292 1.04423
\(737\) −10.2364 6.97909i −0.377064 0.257078i
\(738\) −0.871841 0.808950i −0.0320929 0.0297779i
\(739\) −18.6817 47.6001i −0.687216 1.75100i −0.659880 0.751371i \(-0.729393\pi\)
−0.0273359 0.999626i \(-0.508702\pi\)
\(740\) 12.8630 3.96770i 0.472852 0.145855i
\(741\) 0.231596 + 1.01469i 0.00850789 + 0.0372755i
\(742\) 45.1092 53.3342i 1.65601 1.95796i
\(743\) 2.49473 10.9301i 0.0915226 0.400987i −0.908328 0.418258i \(-0.862641\pi\)
0.999851 + 0.0172712i \(0.00549788\pi\)
\(744\) −0.0983844 1.31285i −0.00360695 0.0481314i
\(745\) −7.14366 2.20353i −0.261723 0.0807310i
\(746\) −3.72415 + 49.6953i −0.136351 + 1.81947i
\(747\) −0.116246 + 0.296191i −0.00425323 + 0.0108371i
\(748\) −42.6953 + 20.5610i −1.56110 + 0.751784i
\(749\) −5.09085 + 11.9462i −0.186015 + 0.436505i
\(750\) 21.1241 + 10.1728i 0.771342 + 0.371459i
\(751\) −22.9813 + 21.3235i −0.838598 + 0.778105i −0.977217 0.212240i \(-0.931924\pi\)
0.138619 + 0.990346i \(0.455734\pi\)
\(752\) −35.0463 + 5.28239i −1.27801 + 0.192629i
\(753\) −8.56704 + 14.8385i −0.312200 + 0.540746i
\(754\) 2.98897 + 5.17705i 0.108852 + 0.188537i
\(755\) 8.52706 + 10.6926i 0.310332 + 0.389143i
\(756\) −21.5378 21.1723i −0.783323 0.770031i
\(757\) −4.39005 + 5.50495i −0.159559 + 0.200081i −0.855184 0.518324i \(-0.826556\pi\)
0.695625 + 0.718405i \(0.255127\pi\)
\(758\) −52.5704 7.92371i −1.90944 0.287802i
\(759\) −19.8682 + 13.5459i −0.721171 + 0.491686i
\(760\) −0.152170 + 0.103748i −0.00551978 + 0.00376332i
\(761\) 26.5552 + 4.00255i 0.962625 + 0.145092i 0.611507 0.791239i \(-0.290564\pi\)
0.351118 + 0.936331i \(0.385802\pi\)
\(762\) 39.4288 49.4422i 1.42836 1.79110i
\(763\) −25.9070 + 42.0247i −0.937895 + 1.52140i
\(764\) −12.8964 16.1716i −0.466576 0.585068i
\(765\) −0.114347 0.198055i −0.00413422 0.00716068i
\(766\) 31.8992 55.2511i 1.15257 1.99630i
\(767\) −1.11773 + 0.168470i −0.0403588 + 0.00608310i
\(768\) 15.2862 14.1835i 0.551593 0.511803i
\(769\) −32.5900 15.6945i −1.17523 0.565959i −0.258709 0.965955i \(-0.583297\pi\)
−0.916517 + 0.399996i \(0.869011\pi\)
\(770\) 11.0196 9.64845i 0.397117 0.347706i
\(771\) 10.4619 5.03818i 0.376776 0.181446i
\(772\) −9.31330 + 23.7299i −0.335193 + 0.854058i