Properties

Label 637.2.bl.b.625.5
Level $637$
Weight $2$
Character 637.625
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 625.5
Character \(\chi\) \(=\) 637.625
Dual form 637.2.bl.b.53.5

$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{16}{21}\right)\)

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 −0.987314 0.158779i \(-0.949244\pi\)
−0.212903 + 0.977073i \(0.568292\pi\)
\(3\) 1.28266 1.19014i 0.740547 0.687127i −0.216752 0.976227i \(-0.569546\pi\)
0.957299 + 0.289100i \(0.0933558\pi\)
\(4\) 0.811150 2.06678i 0.405575 1.03339i
\(5\) 0.653901 + 0.201702i 0.292434 + 0.0902038i 0.437501 0.899218i \(-0.355864\pi\)
−0.145067 + 0.989422i \(0.546340\pi\)
\(6\) −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 0.846824 + 0.531872i \(0.178511\pi\)
−0.758095 + 0.652145i \(0.773870\pi\)
\(12\) −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 −0.537601 0.843199i \(-0.680669\pi\)
−0.762254 + 0.647278i \(0.775907\pi\)
\(18\) 0.0633356 + 0.109700i 0.0149283 + 0.0258566i
\(19\) −0.297407 + 0.515124i −0.0682299 + 0.118178i −0.898122 0.439746i \(-0.855068\pi\)
0.829892 + 0.557924i \(0.188402\pi\)
\(20\) 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 −0.498604 0.866830i \(-0.666154\pi\)
−0.220950 + 0.975285i \(0.570916\pi\)
\(24\) 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 −0.584300 0.811537i \(-0.698631\pi\)
0.921210 + 0.389067i \(0.127202\pi\)
\(30\) −1.22989 + 2.13023i −0.224546 + 0.388925i
\(31\) 0.831438 + 1.44009i 0.149331 + 0.258648i 0.930980 0.365070i \(-0.118955\pi\)
−0.781650 + 0.623718i \(0.785621\pi\)
\(32\) −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 0.903983 + 0.427568i \(0.140630\pi\)
−0.371846 + 0.928294i \(0.621275\pi\)
\(38\) −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 0.826143 + 0.563460i \(0.190530\pi\)
−0.499853 + 0.866110i \(0.666613\pi\)
\(42\) −2.38277 9.20703i −0.367669 1.42067i
\(43\) 0.0187464 0.0821334i 0.00285880 0.0125252i −0.973478 0.228779i \(-0.926527\pi\)
0.976337 + 0.216254i \(0.0693838\pi\)
\(44\) 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 −0.989518 0.144409i \(-0.953872\pi\)
−0.227085 + 0.973875i \(0.572919\pi\)
\(48\) 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 0.115038 + 0.993361i \(0.463301\pi\)
−0.759986 + 0.649939i \(0.774794\pi\)
\(54\) −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 −0.223646 0.974671i \(-0.571796\pi\)
0.364267 + 0.931295i \(0.381320\pi\)
\(60\) −0.198667 2.65102i −0.0256478 0.342246i
\(61\) −4.00065 10.1935i −0.512231 1.30514i −0.919950 0.392036i \(-0.871771\pi\)
0.407719 0.913107i \(-0.366324\pi\)
\(62\) −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 0.945972 0.324248i \(-0.105111\pi\)
−0.753793 + 0.657112i \(0.771778\pi\)
\(68\) −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 0.978172 0.207798i \(-0.0666295\pi\)
−0.420251 + 0.907408i \(0.638058\pi\)
\(72\) 0.0275882 0.00415825i 0.00325130 0.000490054i
\(73\) −12.8769 8.77931i −1.50713 1.02754i −0.984581 0.174928i \(-0.944031\pi\)
−0.522544 0.852612i \(-0.675017\pi\)
\(74\) −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 −0.639101 0.769123i \(-0.720693\pi\)
0.985631 + 0.168916i \(0.0540266\pi\)
\(80\) 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 −0.160959 0.986961i \(-0.551459\pi\)
0.671281 + 0.741203i \(0.265745\pi\)
\(84\) 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 −0.881057 0.473009i \(-0.843168\pi\)
0.941715 0.336411i \(-0.109213\pi\)
\(90\) 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 −0.974908 0.222607i \(-0.928543\pi\)
0.149130 + 0.988818i \(0.452353\pi\)
\(102\) 7.11777 18.1358i 0.704764 1.79571i
\(103\) −7.05363 2.17576i −0.695015 0.214384i −0.0729340 0.997337i \(-0.523236\pi\)
−0.622081 + 0.782953i \(0.713712\pi\)
\(104\) 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 0.951005 + 0.309177i \(0.100054\pi\)
−0.986463 + 0.163984i \(0.947566\pi\)
\(108\) 10.9080 3.36469i 1.04963 0.323767i
\(109\) 1.39443 + 18.6074i 0.133562 + 1.78226i 0.514332 + 0.857591i \(0.328040\pi\)
−0.380770 + 0.924670i \(0.624341\pi\)
\(110\) −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 −0.438753 0.898608i \(-0.644580\pi\)
0.429001 + 0.903304i \(0.358866\pi\)
\(114\) −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 −0.00204131 0.999998i \(-0.500650\pi\)
0.975380 0.220530i \(-0.0707788\pi\)
\(128\) −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 0.927425 0.374009i \(-0.122017\pi\)
−0.303657 + 0.952782i \(0.598208\pi\)
\(132\) 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 −0.866563 0.499068i \(-0.833676\pi\)
−0.434853 + 0.900501i \(0.643200\pi\)
\(138\) 0.937450 12.5094i 0.0798011 1.06487i
\(139\) −1.65888 7.26804i −0.140705 0.616467i −0.995272 0.0971264i \(-0.969035\pi\)
0.854568 0.519340i \(-0.173822\pi\)
\(140\) −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 −0.873506 0.486814i \(-0.838159\pi\)
0.134035 + 0.990977i \(0.457207\pi\)
\(150\) 11.9412 11.0798i 0.974992 0.904660i
\(151\) 7.30163 18.6043i 0.594199 1.51399i −0.244641 0.969614i \(-0.578670\pi\)
0.838839 0.544379i \(-0.183235\pi\)
\(152\) −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 0.665644 0.746269i \(-0.268157\pi\)
0.970370 + 0.241626i \(0.0776806\pi\)
\(158\) 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 0.991700 + 0.128573i \(0.0410395\pi\)
0.202323 + 0.979319i \(0.435151\pi\)
\(164\) 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 −0.662772 0.748821i \(-0.730620\pi\)
0.877528 + 0.479526i \(0.159191\pi\)
\(168\) −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 0.595841 0.803102i \(-0.296819\pi\)
0.806088 + 0.591796i \(0.201581\pi\)
\(174\) 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 0.907846 0.419305i \(-0.137726\pi\)
0.743920 + 0.668268i \(0.232964\pi\)
\(180\) −0.0686743 0.0637204i −0.00511868 0.00474944i
\(181\) −9.28910 + 4.47340i −0.690453 + 0.332505i −0.745995 0.665952i \(-0.768026\pi\)
0.0555416 + 0.998456i \(0.482311\pi\)
\(182\) −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 −0.0445646 0.999007i \(-0.514190\pi\)
−0.599581 + 0.800314i \(0.704666\pi\)
\(192\) 6.17161 15.7250i 0.445398 1.13486i
\(193\) 8.41661 7.80947i 0.605841 0.562138i −0.316462 0.948605i \(-0.602495\pi\)
0.922303 + 0.386467i \(0.126305\pi\)
\(194\) −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 −0.693217 0.720729i \(-0.743807\pi\)
0.666909 + 0.745139i \(0.267617\pi\)
\(200\) 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 −0.290185 0.956971i \(-0.593717\pi\)
0.567262 + 0.823537i \(0.308003\pi\)
\(212\) 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 0.466563 0.884488i \(-0.345492\pi\)
−0.966132 + 0.258049i \(0.916921\pi\)
\(224\) 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 −0.996695 0.0812390i \(-0.974112\pi\)
0.427992 0.903782i \(-0.359221\pi\)
\(228\) 2.28499 + 0.344407i 0.151327 + 0.0228089i
\(229\) −11.4782 10.6503i −0.758504 0.703789i 0.202818 0.979216i \(-0.434990\pi\)
−0.961322 + 0.275428i \(0.911181\pi\)
\(230\) 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 0.968095 0.250583i \(-0.0806225\pi\)
−0.880104 + 0.474781i \(0.842527\pi\)
\(234\) −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 0.892267 + 0.451507i \(0.149113\pi\)
−0.999807 + 0.0196536i \(0.993744\pi\)
\(240\) 4.01716 + 1.23913i 0.259307 + 0.0799855i
\(241\) 3.46923 8.83946i 0.223473 0.569400i −0.774532 0.632535i \(-0.782015\pi\)
0.998005 + 0.0631349i \(0.0201098\pi\)
\(242\) 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 −0.858436 0.512920i \(-0.828564\pi\)
0.995972 0.0896637i \(-0.0285792\pi\)
\(252\) 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 0.986334 0.164759i \(-0.0526846\pi\)
−0.835098 + 0.550101i \(0.814589\pi\)
\(258\) 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 0.912316 0.409486i \(-0.134292\pi\)
−0.810784 + 0.585346i \(0.800959\pi\)
\(264\) −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 0.998348 + 0.0574578i \(0.0182995\pi\)
0.418223 + 0.908344i \(0.362653\pi\)
\(270\) −5.97178 4.07149i −0.363431 0.247783i
\(271\) 4.13665 0.623500i 0.251284 0.0378749i −0.0221924 0.999754i \(-0.507065\pi\)
0.273476 + 0.961879i \(0.411827\pi\)
\(272\) −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 −0.471074 0.882094i \(-0.656133\pi\)
−0.710147 + 0.704054i \(0.751371\pi\)
\(278\) 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 0.276863 0.960909i \(-0.410705\pi\)
−0.578648 + 0.815577i \(0.696419\pi\)
\(282\) −13.2568 33.7778i −0.789431 2.01144i
\(283\) 1.87470 + 25.0161i 0.111439 + 1.48705i 0.720238 + 0.693727i \(0.244032\pi\)
−0.608799 + 0.793324i \(0.708348\pi\)
\(284\) 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 0.995786 0.0917096i \(-0.0292332\pi\)
0.549161 + 0.835717i \(0.314947\pi\)
\(308\) −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 0.190301 0.981726i \(-0.439054\pi\)
−0.107523 + 0.994203i \(0.534292\pi\)
\(312\) −0.395860 0.685649i −0.0224111 0.0388172i
\(313\) 2.00999 3.48140i 0.113611 0.196781i −0.803612 0.595153i \(-0.797091\pi\)
0.917224 + 0.398372i \(0.130425\pi\)
\(314\) −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 −0.827217 0.561883i \(-0.810077\pi\)
−0.624848 + 0.780746i \(0.714839\pi\)
\(318\) −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 0.740552 0.671999i \(-0.234564\pi\)
−0.999938 + 0.0110926i \(0.996469\pi\)
\(332\) −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 0.846208 + 0.532853i \(0.178880\pi\)
−0.993603 + 0.112929i \(0.963977\pi\)
\(338\) −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 −0.327200 0.944955i \(-0.606105\pi\)
0.882587 0.470149i \(-0.155800\pi\)
\(348\) −10.8026 3.33215i −0.579079 0.178622i
\(349\) −5.58935 + 24.4885i −0.299191 + 1.31084i 0.572144 + 0.820153i \(0.306112\pi\)
−0.871335 + 0.490688i \(0.836745\pi\)
\(350\) −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 0.0579534 0.998319i \(-0.481543\pi\)
0.610257 + 0.792204i \(0.291066\pi\)
\(354\) 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 0.193955 0.981011i \(-0.437869\pi\)
−0.963773 + 0.266723i \(0.914059\pi\)
\(360\) 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 0.803322 0.595545i \(-0.203064\pi\)
−0.260891 + 0.965368i \(0.584016\pi\)
\(368\) −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 0.359922 + 0.932983i \(0.382803\pi\)
−0.987947 + 0.154790i \(0.950530\pi\)
\(374\) 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 0.923013 0.384769i \(-0.125719\pi\)
0.274664 + 0.961540i \(0.411433\pi\)
\(380\) 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 −0.547660 0.836701i \(-0.684481\pi\)
0.666247 0.745732i \(-0.267900\pi\)
\(384\) 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 −0.159630 + 0.987177i \(0.551030\pi\)
−0.996346 + 0.0854115i \(0.972780\pi\)
\(390\) 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 0.482314 0.875998i \(-0.339796\pi\)
−0.0949608 + 0.995481i \(0.530273\pi\)
\(398\) 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 0.980870 + 0.194662i \(0.0623610\pi\)
−0.998928 + 0.0462967i \(0.985258\pi\)
\(402\) −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 0.260511 0.965471i \(-0.416109\pi\)
−0.0356401 + 0.999365i \(0.511347\pi\)
\(410\) −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 0.590473 0.807057i \(-0.298941\pi\)
−0.918215 + 0.396082i \(0.870370\pi\)
\(420\) 3.69101 + 5.98734i 0.180103 + 0.292152i
\(421\) 14.1989 17.8049i 0.692014 0.867758i −0.304385 0.952549i \(-0.598451\pi\)
0.996399 + 0.0847914i \(0.0270224\pi\)
\(422\) −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 0.0306056 0.999532i \(-0.490256\pi\)
0.588344 + 0.808611i \(0.299780\pi\)
\(432\) −1.34898 + 18.0008i −0.0649027 + 0.866066i
\(433\) −1.67778 7.35082i −0.0806288 0.353258i 0.918480 0.395467i \(-0.129417\pi\)
−0.999109 + 0.0422097i \(0.986560\pi\)
\(434\) 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 −0.988204 0.153146i \(-0.951059\pi\)
−0.218472 + 0.975843i \(0.570107\pi\)
\(440\) −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 −0.642939 0.765918i \(-0.722285\pi\)
0.478081 + 0.878316i \(0.341333\pi\)
\(444\) 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 0.975235 0.221170i \(-0.0709876\pi\)
−0.974619 + 0.223871i \(0.928130\pi\)
\(450\) 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 −0.999553 0.0298847i \(-0.990486\pi\)
−0.104498 0.994525i \(-0.533324\pi\)
\(458\) 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 −0.927771 0.373149i \(-0.878278\pi\)
0.570242 + 0.821477i \(0.306849\pi\)
\(462\) 35.4542 12.0665i 1.64948 0.561382i
\(463\) 13.0286 + 16.3374i 0.605491 + 0.759262i 0.986223 0.165424i \(-0.0528991\pi\)
−0.380731 + 0.924686i \(0.624328\pi\)
\(464\) 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 0.352697 0.935738i \(-0.385265\pi\)
0.612841 + 0.790206i \(0.290026\pi\)
\(468\) 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 0.912626 + 0.408796i \(0.134051\pi\)
−0.841505 + 0.540250i \(0.818330\pi\)
\(480\) −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 −0.996340 0.0854816i \(-0.972757\pi\)
0.0107860 + 0.999942i \(0.496567\pi\)
\(488\) 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 −0.932714 0.360616i \(-0.882567\pi\)
0.976044 0.217574i \(-0.0698144\pi\)
\(500\) −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 0.630654 0.776064i \(-0.282787\pi\)
−0.213545 + 0.976933i \(0.568501\pi\)
\(504\) −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 −0.823935 0.566685i \(-0.808226\pi\)
0.902731 + 0.430206i \(0.141559\pi\)
\(510\) 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 0.833543 0.552455i \(-0.186309\pi\)
−0.895211 + 0.445642i \(0.852976\pi\)
\(522\) 0.364487 + 0.0549376i 0.0159532 + 0.00240455i
\(523\) 10.3993 + 9.64918i 0.454732 + 0.421929i 0.873995 0.485935i \(-0.161521\pi\)
−0.419263 + 0.907865i \(0.637711\pi\)
\(524\) 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 −0.923329 0.384011i \(-0.874542\pi\)
0.0201360 + 0.999797i \(0.493590\pi\)
\(542\) −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 0.981304 0.192464i \(-0.0616478\pi\)
−0.967631 + 0.252368i \(0.918791\pi\)
\(548\) −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 0.836901 0.547354i \(-0.184365\pi\)
−0.892473 + 0.451100i \(0.851032\pi\)
\(558\) −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 0.883118 0.469151i \(-0.155440\pi\)
−0.114082 + 0.993471i \(0.536393\pi\)
\(564\) 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 −0.331546 0.943439i \(-0.607570\pi\)
0.982815 0.184593i \(-0.0590966\pi\)
\(570\) −0.731556 1.26709i −0.0306415 0.0530727i
\(571\) 4.11039 + 0.619541i 0.172014 + 0.0259270i 0.234485 0.972120i \(-0.424660\pi\)
−0.0624703 + 0.998047i \(0.519898\pi\)
\(572\) −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 −0.894515 0.447038i \(-0.852479\pi\)
0.817896 0.575366i \(-0.195140\pi\)
\(578\) −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 0.278980 0.960297i \(-0.410004\pi\)
−0.310450 + 0.950590i \(0.600480\pi\)
\(594\) 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 0.580316 + 0.814392i \(0.302929\pi\)
−0.452455 + 0.891787i \(0.649452\pi\)
\(600\) −1.31079 3.33984i −0.0535128 0.136348i
\(601\) −4.07386 1.96187i −0.166176 0.0800262i 0.348947 0.937143i \(-0.386539\pi\)
−0.515123 + 0.857116i \(0.672254\pi\)
\(602\) −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 0.218991 + 0.975727i \(0.429723\pi\)
−0.954500 + 0.298212i \(0.903610\pi\)
\(608\) 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 0.789549 0.613688i \(-0.210315\pi\)
−0.282812 + 0.959175i \(0.591267\pi\)
\(614\) −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 −0.867410 0.497594i \(-0.834217\pi\)
0.678135 + 0.734938i \(0.262789\pi\)
\(618\) 13.2668 22.9788i 0.533670 0.924343i
\(619\) 21.1670 + 36.6624i 0.850775 + 1.47358i 0.880510 + 0.474027i \(0.157200\pi\)
−0.0297357 + 0.999558i \(0.509467\pi\)
\(620\) 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 0.600385 + 0.799711i \(0.295014\pi\)
−0.887910 + 0.460018i \(0.847843\pi\)
\(632\) 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 −0.810479 0.585768i \(-0.800793\pi\)
0.992546 + 0.121867i \(0.0388883\pi\)
\(642\) −16.8589 5.20027i −0.665366 0.205238i
\(643\) 3.45169 15.1228i 0.136121 0.596386i −0.860145 0.510050i \(-0.829627\pi\)
0.996266 0.0863361i \(-0.0275159\pi\)
\(644\) −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 0.282008 0.959412i \(-0.408999\pi\)
0.773462 + 0.633842i \(0.218523\pi\)
\(648\) 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 −0.998317 0.0579852i \(-0.981532\pi\)
−0.132427 0.991193i \(-0.542277\pi\)
\(654\) −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 0.856415 0.516288i \(-0.172686\pi\)
−0.693914 + 0.720058i \(0.744115\pi\)
\(660\) 10.3519 1.56030i 0.402949 0.0607348i
\(661\) −7.24951 4.94263i −0.281973 0.192246i 0.414072 0.910244i \(-0.364106\pi\)
−0.696045 + 0.717998i \(0.745059\pi\)
\(662\) 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 0.681495 0.731823i \(-0.261330\pi\)
−0.147257 + 0.989098i \(0.547045\pi\)
\(674\) −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 0.495888 + 0.868386i \(0.334843\pi\)
−0.619776 + 0.784779i \(0.712776\pi\)
\(678\) −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 −0.959230 0.282627i \(-0.908794\pi\)
0.210153 + 0.977669i \(0.432604\pi\)
\(684\) 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 0.558618 0.829425i \(-0.311332\pi\)
−0.00567989 + 0.999984i \(0.501808\pi\)
\(692\) 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 −0.999258 0.0385032i \(-0.987741\pi\)
−0.592924 + 0.805258i \(0.702027\pi\)
\(702\) 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 −0.273680 0.961821i \(-0.588241\pi\)
0.0219803 + 0.999758i \(0.493003\pi\)
\(710\) −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 0.793189 0.608975i \(-0.208419\pi\)
−0.547997 + 0.836480i \(0.684610\pi\)
\(720\) 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 −0.982000 0.188881i \(-0.939514\pi\)
0.802799 0.596249i \(-0.203343\pi\)
\(728\) 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 −0.813038 0.582210i \(-0.802188\pi\)
0.244928 + 0.969541i \(0.421236\pi\)
\(734\) −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 −0.0273359 + 0.999626i \(0.508702\pi\)
−0.659880 + 0.751371i \(0.729393\pi\)
\(740\) 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 0.999851 0.0172712i \(-0.00549788\pi\)
−0.908328 + 0.418258i \(0.862641\pi\)
\(744\) −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 0.138619 0.990346i \(-0.455734\pi\)
−0.977217 + 0.212240i \(0.931924\pi\)
\(752\) −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 0.695625 0.718405i \(-0.255127\pi\)
−0.855184 + 0.518324i \(0.826556\pi\)
\(758\) −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 0.351118 0.936331i \(-0.385802\pi\)
0.611507 + 0.791239i \(0.290564\pi\)
\(762\) 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 −0.916517 0.399996i \(-0.869011\pi\)
−0.258709 + 0.965955i \(0.583297\pi\)
\(770\) 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
\(773\) −1.08770