Properties

Label 637.2.bl.b.53.11
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 53.11
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.610286 - 0.416086i) q^{2} +(-2.18416 - 2.02661i) q^{3} +(-0.531361 - 1.35388i) q^{4} +(-2.47946 + 0.764813i) q^{5} +(0.489722 + 2.14561i) q^{6} +(1.83554 - 1.90546i) q^{7} +(-0.567772 + 2.48757i) q^{8} +(0.439242 + 5.86128i) q^{9} +O(q^{10})\) \(q+(-0.610286 - 0.416086i) q^{2} +(-2.18416 - 2.02661i) q^{3} +(-0.531361 - 1.35388i) q^{4} +(-2.47946 + 0.764813i) q^{5} +(0.489722 + 2.14561i) q^{6} +(1.83554 - 1.90546i) q^{7} +(-0.567772 + 2.48757i) q^{8} +(0.439242 + 5.86128i) q^{9} +(1.83141 + 0.564915i) q^{10} +(-0.116712 + 1.55742i) q^{11} +(-1.58322 + 4.03397i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(-1.91304 + 0.399136i) q^{14} +(6.96553 + 3.35442i) q^{15} +(-0.750789 + 0.696630i) q^{16} +(-5.91891 + 0.892132i) q^{17} +(2.17073 - 3.75982i) q^{18} +(-0.151312 - 0.262080i) q^{19} +(2.35296 + 2.95051i) q^{20} +(-7.87075 + 0.441929i) q^{21} +(0.719246 - 0.901906i) q^{22} +(3.12319 + 0.470745i) q^{23} +(6.28145 - 4.28262i) q^{24} +(1.43160 - 0.976047i) q^{25} +(0.730381 + 0.110087i) q^{26} +(5.34599 - 6.70366i) q^{27} +(-3.55511 - 1.47262i) q^{28} +(2.28797 + 2.86903i) q^{29} +(-2.85524 - 4.94541i) q^{30} +(3.43290 - 5.94596i) q^{31} +(5.79415 - 0.873327i) q^{32} +(3.41119 - 3.16512i) q^{33} +(3.98343 + 1.91832i) q^{34} +(-3.09383 + 6.12837i) q^{35} +(7.70211 - 3.70914i) q^{36} +(1.53383 - 3.90813i) q^{37} +(-0.0167042 + 0.222902i) q^{38} +(2.84718 + 0.878238i) q^{39} +(-0.494758 - 6.60208i) q^{40} +(-0.928580 + 4.06838i) q^{41} +(4.98729 + 3.00521i) q^{42} +(0.421199 + 1.84540i) q^{43} +(2.17058 - 0.669534i) q^{44} +(-5.57187 - 14.1969i) q^{45} +(-1.71017 - 1.58680i) q^{46} +(-0.766145 - 0.522349i) q^{47} +3.05164 q^{48} +(-0.261591 - 6.99511i) q^{49} -1.27980 q^{50} +(14.7359 + 10.0467i) q^{51} +(1.06617 + 0.989259i) q^{52} +(-3.77304 - 9.61355i) q^{53} +(-6.05188 + 1.86676i) q^{54} +(-0.901748 - 3.95082i) q^{55} +(3.69781 + 5.64791i) q^{56} +(-0.200643 + 0.879076i) q^{57} +(-0.202556 - 2.70292i) q^{58} +(2.99966 + 0.925274i) q^{59} +(0.840293 - 11.2129i) q^{60} +(-3.37912 + 8.60985i) q^{61} +(-4.56908 + 2.20035i) q^{62} +(11.9747 + 9.92166i) q^{63} +(-2.05393 - 0.989120i) q^{64} +(1.90208 - 1.76487i) q^{65} +(-3.39876 + 0.512281i) q^{66} +(-6.59946 + 11.4306i) q^{67} +(4.35292 + 7.53948i) q^{68} +(-5.86754 - 7.35767i) q^{69} +(4.43805 - 2.45276i) q^{70} +(-2.25638 + 2.82941i) q^{71} +(-14.8298 - 2.23523i) q^{72} +(8.48581 - 5.78553i) q^{73} +(-2.56219 + 1.74687i) q^{74} +(-5.10491 - 0.769442i) q^{75} +(-0.274425 + 0.344118i) q^{76} +(2.75337 + 3.08109i) q^{77} +(-1.37217 - 1.72065i) q^{78} +(1.75973 + 3.04795i) q^{79} +(1.32876 - 2.30148i) q^{80} +(-7.82603 + 1.17958i) q^{81} +(2.25949 - 2.09650i) q^{82} +(-13.4047 - 6.45535i) q^{83} +(4.78053 + 10.4213i) q^{84} +(13.9934 - 6.73886i) q^{85} +(0.510791 - 1.30147i) q^{86} +(0.817086 - 10.9033i) q^{87} +(-3.80792 - 1.17459i) q^{88} +(1.22833 + 16.3909i) q^{89} +(-2.50669 + 10.9825i) q^{90} +(-0.827014 + 2.51318i) q^{91} +(-1.02221 - 4.47857i) q^{92} +(-19.5482 + 6.02981i) q^{93} +(0.250226 + 0.637565i) q^{94} +(0.575614 + 0.534092i) q^{95} +(-14.4253 - 9.83498i) q^{96} -5.41958 q^{97} +(-2.75092 + 4.37786i) q^{98} -9.17972 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.610286 0.416086i −0.431537 0.294217i 0.328004 0.944676i \(-0.393624\pi\)
−0.759541 + 0.650459i \(0.774576\pi\)
\(3\) −2.18416 2.02661i −1.26103 1.17006i −0.977462 0.211110i \(-0.932292\pi\)
−0.283566 0.958953i \(-0.591517\pi\)
\(4\) −0.531361 1.35388i −0.265680 0.676942i
\(5\) −2.47946 + 0.764813i −1.10885 + 0.342035i −0.794495 0.607271i \(-0.792264\pi\)
−0.314354 + 0.949306i \(0.601788\pi\)
\(6\) 0.489722 + 2.14561i 0.199928 + 0.875942i
\(7\) 1.83554 1.90546i 0.693769 0.720198i
\(8\) −0.567772 + 2.48757i −0.200738 + 0.879490i
\(9\) 0.439242 + 5.86128i 0.146414 + 1.95376i
\(10\) 1.83141 + 0.564915i 0.579142 + 0.178642i
\(11\) −0.116712 + 1.55742i −0.0351900 + 0.469578i 0.951574 + 0.307418i \(0.0994651\pi\)
−0.986764 + 0.162160i \(0.948154\pi\)
\(12\) −1.58322 + 4.03397i −0.457035 + 1.16451i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) −1.91304 + 0.399136i −0.511282 + 0.106674i
\(15\) 6.96553 + 3.35442i 1.79849 + 0.866108i
\(16\) −0.750789 + 0.696630i −0.187697 + 0.174158i
\(17\) −5.91891 + 0.892132i −1.43555 + 0.216374i −0.820287 0.571952i \(-0.806186\pi\)
−0.615259 + 0.788325i \(0.710948\pi\)
\(18\) 2.17073 3.75982i 0.511647 0.886198i
\(19\) −0.151312 0.262080i −0.0347133 0.0601253i 0.848147 0.529761i \(-0.177718\pi\)
−0.882860 + 0.469636i \(0.844385\pi\)
\(20\) 2.35296 + 2.95051i 0.526137 + 0.659755i
\(21\) −7.87075 + 0.441929i −1.71754 + 0.0964368i
\(22\) 0.719246 0.901906i 0.153344 0.192287i
\(23\) 3.12319 + 0.470745i 0.651230 + 0.0981571i 0.466345 0.884603i \(-0.345571\pi\)
0.184885 + 0.982760i \(0.440809\pi\)
\(24\) 6.28145 4.28262i 1.28219 0.874186i
\(25\) 1.43160 0.976047i 0.286320 0.195209i
\(26\) 0.730381 + 0.110087i 0.143240 + 0.0215899i
\(27\) 5.34599 6.70366i 1.02884 1.29012i
\(28\) −3.55511 1.47262i −0.671853 0.278299i
\(29\) 2.28797 + 2.86903i 0.424866 + 0.532765i 0.947485 0.319801i \(-0.103616\pi\)
−0.522618 + 0.852567i \(0.675045\pi\)
\(30\) −2.85524 4.94541i −0.521292 0.902905i
\(31\) 3.43290 5.94596i 0.616568 1.06793i −0.373540 0.927614i \(-0.621856\pi\)
0.990107 0.140312i \(-0.0448107\pi\)
\(32\) 5.79415 0.873327i 1.02427 0.154384i
\(33\) 3.41119 3.16512i 0.593812 0.550977i
\(34\) 3.98343 + 1.91832i 0.683152 + 0.328989i
\(35\) −3.09383 + 6.12837i −0.522952 + 1.03588i
\(36\) 7.70211 3.70914i 1.28368 0.618190i
\(37\) 1.53383 3.90813i 0.252159 0.642492i −0.747606 0.664142i \(-0.768797\pi\)
0.999766 + 0.0216505i \(0.00689212\pi\)
\(38\) −0.0167042 + 0.222902i −0.00270978 + 0.0361596i
\(39\) 2.84718 + 0.878238i 0.455913 + 0.140631i
\(40\) −0.494758 6.60208i −0.0782281 1.04388i
\(41\) −0.928580 + 4.06838i −0.145020 + 0.635373i 0.849206 + 0.528062i \(0.177081\pi\)
−0.994225 + 0.107311i \(0.965776\pi\)
\(42\) 4.98729 + 3.00521i 0.769555 + 0.463713i
\(43\) 0.421199 + 1.84540i 0.0642323 + 0.281420i 0.996836 0.0794810i \(-0.0253263\pi\)
−0.932604 + 0.360901i \(0.882469\pi\)
\(44\) 2.17058 0.669534i 0.327227 0.100936i
\(45\) −5.57187 14.1969i −0.830605 2.11635i
\(46\) −1.71017 1.58680i −0.252150 0.233961i
\(47\) −0.766145 0.522349i −0.111754 0.0761924i 0.506154 0.862443i \(-0.331067\pi\)
−0.617907 + 0.786251i \(0.712019\pi\)
\(48\) 3.05164 0.440467
\(49\) −0.261591 6.99511i −0.0373702 0.999301i
\(50\) −1.27980 −0.180992
\(51\) 14.7359 + 10.0467i 2.06343 + 1.40683i
\(52\) 1.06617 + 0.989259i 0.147851 + 0.137186i
\(53\) −3.77304 9.61355i −0.518267 1.32052i −0.915320 0.402727i \(-0.868062\pi\)
0.397053 0.917796i \(-0.370033\pi\)
\(54\) −6.05188 + 1.86676i −0.823557 + 0.254034i
\(55\) −0.901748 3.95082i −0.121592 0.532728i
\(56\) 3.69781 + 5.64791i 0.494141 + 0.754733i
\(57\) −0.200643 + 0.879076i −0.0265759 + 0.116436i
\(58\) −0.202556 2.70292i −0.0265969 0.354911i
\(59\) 2.99966 + 0.925274i 0.390523 + 0.120460i 0.483797 0.875180i \(-0.339257\pi\)
−0.0932743 + 0.995640i \(0.529733\pi\)
\(60\) 0.840293 11.2129i 0.108481 1.44758i
\(61\) −3.37912 + 8.60985i −0.432652 + 1.10238i 0.533818 + 0.845599i \(0.320757\pi\)
−0.966470 + 0.256780i \(0.917339\pi\)
\(62\) −4.56908 + 2.20035i −0.580274 + 0.279445i
\(63\) 11.9747 + 9.92166i 1.50867 + 1.25001i
\(64\) −2.05393 0.989120i −0.256741 0.123640i
\(65\) 1.90208 1.76487i 0.235924 0.218905i
\(66\) −3.39876 + 0.512281i −0.418359 + 0.0630575i
\(67\) −6.59946 + 11.4306i −0.806252 + 1.39647i 0.109190 + 0.994021i \(0.465174\pi\)
−0.915442 + 0.402449i \(0.868159\pi\)
\(68\) 4.35292 + 7.53948i 0.527869 + 0.914296i
\(69\) −5.86754 7.35767i −0.706369 0.885759i
\(70\) 4.43805 2.45276i 0.530448 0.293161i
\(71\) −2.25638 + 2.82941i −0.267783 + 0.335789i −0.897483 0.441050i \(-0.854606\pi\)
0.629700 + 0.776838i \(0.283178\pi\)
\(72\) −14.8298 2.23523i −1.74770 0.263424i
\(73\) 8.48581 5.78553i 0.993189 0.677145i 0.0463743 0.998924i \(-0.485233\pi\)
0.946815 + 0.321779i \(0.104281\pi\)
\(74\) −2.56219 + 1.74687i −0.297848 + 0.203070i
\(75\) −5.10491 0.769442i −0.589464 0.0888475i
\(76\) −0.274425 + 0.344118i −0.0314787 + 0.0394730i
\(77\) 2.75337 + 3.08109i 0.313776 + 0.351123i
\(78\) −1.37217 1.72065i −0.155368 0.194825i
\(79\) 1.75973 + 3.04795i 0.197986 + 0.342921i 0.947875 0.318642i \(-0.103227\pi\)
−0.749890 + 0.661563i \(0.769893\pi\)
\(80\) 1.32876 2.30148i 0.148560 0.257313i
\(81\) −7.82603 + 1.17958i −0.869559 + 0.131065i
\(82\) 2.25949 2.09650i 0.249519 0.231520i
\(83\) −13.4047 6.45535i −1.47135 0.708567i −0.485201 0.874403i \(-0.661254\pi\)
−0.986153 + 0.165836i \(0.946968\pi\)
\(84\) 4.78053 + 10.4213i 0.521598 + 1.13705i
\(85\) 13.9934 6.73886i 1.51780 0.730932i
\(86\) 0.510791 1.30147i 0.0550800 0.140342i
\(87\) 0.817086 10.9033i 0.0876009 1.16895i
\(88\) −3.80792 1.17459i −0.405926 0.125211i
\(89\) 1.22833 + 16.3909i 0.130203 + 1.73744i 0.554738 + 0.832025i \(0.312819\pi\)
−0.424535 + 0.905412i \(0.639562\pi\)
\(90\) −2.50669 + 10.9825i −0.264229 + 1.15766i
\(91\) −0.827014 + 2.51318i −0.0866946 + 0.263452i
\(92\) −1.02221 4.47857i −0.106572 0.466924i
\(93\) −19.5482 + 6.02981i −2.02705 + 0.625262i
\(94\) 0.250226 + 0.637565i 0.0258088 + 0.0657598i
\(95\) 0.575614 + 0.534092i 0.0590568 + 0.0547967i
\(96\) −14.4253 9.83498i −1.47227 1.00378i
\(97\) −5.41958 −0.550274 −0.275137 0.961405i \(-0.588723\pi\)
−0.275137 + 0.961405i \(0.588723\pi\)
\(98\) −2.75092 + 4.37786i −0.277885 + 0.442231i
\(99\) −9.17972 −0.922596
\(100\) −2.08215 1.41959i −0.208215 0.141959i
\(101\) 8.64501 + 8.02140i 0.860210 + 0.798159i 0.980896 0.194532i \(-0.0623188\pi\)
−0.120686 + 0.992691i \(0.538509\pi\)
\(102\) −4.81278 12.2628i −0.476537 1.21420i
\(103\) 11.9567 3.68817i 1.17813 0.363406i 0.356979 0.934112i \(-0.383807\pi\)
0.821154 + 0.570706i \(0.193331\pi\)
\(104\) −0.567772 2.48757i −0.0556747 0.243927i
\(105\) 19.1772 7.11540i 1.87151 0.694392i
\(106\) −1.69743 + 7.43692i −0.164869 + 0.722338i
\(107\) 1.18558 + 15.8205i 0.114615 + 1.52943i 0.697331 + 0.716749i \(0.254371\pi\)
−0.582716 + 0.812676i \(0.698010\pi\)
\(108\) −11.9166 3.67580i −1.14668 0.353704i
\(109\) −0.965705 + 12.8864i −0.0924978 + 1.23430i 0.737041 + 0.675848i \(0.236222\pi\)
−0.829539 + 0.558449i \(0.811397\pi\)
\(110\) −1.09355 + 2.78633i −0.104266 + 0.265666i
\(111\) −11.2704 + 5.42752i −1.06974 + 0.515158i
\(112\) −0.0506980 + 2.70929i −0.00479051 + 0.256004i
\(113\) 7.17696 + 3.45624i 0.675152 + 0.325136i 0.739853 0.672769i \(-0.234895\pi\)
−0.0647011 + 0.997905i \(0.520609\pi\)
\(114\) 0.488221 0.453003i 0.0457261 0.0424276i
\(115\) −8.10386 + 1.22146i −0.755689 + 0.113902i
\(116\) 2.66860 4.62214i 0.247773 0.429155i
\(117\) −2.93886 5.09025i −0.271698 0.470594i
\(118\) −1.44566 1.81280i −0.133084 0.166882i
\(119\) −9.16446 + 12.9158i −0.840105 + 1.18399i
\(120\) −12.2992 + 15.4227i −1.12276 + 1.40789i
\(121\) 8.46522 + 1.27593i 0.769565 + 0.115993i
\(122\) 5.64467 3.84847i 0.511044 0.348424i
\(123\) 10.2732 7.00413i 0.926301 0.631541i
\(124\) −9.87426 1.48831i −0.886735 0.133654i
\(125\) 5.28587 6.62827i 0.472782 0.592850i
\(126\) −3.17974 11.0376i −0.283274 0.983304i
\(127\) 10.8084 + 13.5533i 0.959092 + 1.20266i 0.979207 + 0.202865i \(0.0650254\pi\)
−0.0201149 + 0.999798i \(0.506403\pi\)
\(128\) −5.01767 8.69086i −0.443504 0.768171i
\(129\) 2.81993 4.88425i 0.248281 0.430035i
\(130\) −1.89515 + 0.285648i −0.166216 + 0.0250530i
\(131\) 9.66662 8.96932i 0.844577 0.783653i −0.133685 0.991024i \(-0.542681\pi\)
0.978262 + 0.207371i \(0.0664907\pi\)
\(132\) −6.09778 2.93654i −0.530744 0.255593i
\(133\) −0.777123 0.192739i −0.0673851 0.0167125i
\(134\) 8.78367 4.22999i 0.758793 0.365416i
\(135\) −8.12814 + 20.7102i −0.699559 + 1.78245i
\(136\) 1.14135 15.2302i 0.0978699 1.30598i
\(137\) 13.6472 + 4.20961i 1.16596 + 0.359652i 0.816526 0.577309i \(-0.195897\pi\)
0.349436 + 0.936960i \(0.386373\pi\)
\(138\) 0.519458 + 6.93168i 0.0442192 + 0.590064i
\(139\) −4.35517 + 19.0813i −0.369401 + 1.61845i 0.359025 + 0.933328i \(0.383109\pi\)
−0.728426 + 0.685124i \(0.759748\pi\)
\(140\) 9.94105 + 0.932309i 0.840172 + 0.0787945i
\(141\) 0.614791 + 2.69357i 0.0517747 + 0.226840i
\(142\) 2.55431 0.787900i 0.214353 0.0661191i
\(143\) −0.570583 1.45382i −0.0477146 0.121575i
\(144\) −4.41292 4.09460i −0.367744 0.341216i
\(145\) −7.86721 5.36378i −0.653337 0.445437i
\(146\) −7.58605 −0.627826
\(147\) −13.6050 + 15.8086i −1.12212 + 1.30387i
\(148\) −6.10617 −0.501924
\(149\) −8.26236 5.63318i −0.676879 0.461488i 0.175454 0.984488i \(-0.443861\pi\)
−0.852333 + 0.522999i \(0.824813\pi\)
\(150\) 2.79530 + 2.59366i 0.228235 + 0.211772i
\(151\) −1.35944 3.46380i −0.110630 0.281880i 0.864827 0.502069i \(-0.167428\pi\)
−0.975457 + 0.220189i \(0.929332\pi\)
\(152\) 0.737854 0.227598i 0.0598479 0.0184606i
\(153\) −7.82887 34.3005i −0.632927 2.77303i
\(154\) −0.398346 3.02598i −0.0320996 0.243841i
\(155\) −3.96421 + 17.3683i −0.318413 + 1.39506i
\(156\) −0.323845 4.32141i −0.0259283 0.345990i
\(157\) −10.8507 3.34699i −0.865977 0.267119i −0.170229 0.985405i \(-0.554451\pi\)
−0.695748 + 0.718286i \(0.744927\pi\)
\(158\) 0.194268 2.59232i 0.0154551 0.206234i
\(159\) −11.2420 + 28.6441i −0.891546 + 2.27162i
\(160\) −13.6984 + 6.59682i −1.08296 + 0.521524i
\(161\) 6.62972 5.08706i 0.522495 0.400916i
\(162\) 5.26692 + 2.53642i 0.413808 + 0.199280i
\(163\) 6.24828 5.79755i 0.489403 0.454100i −0.396456 0.918054i \(-0.629760\pi\)
0.885859 + 0.463954i \(0.153570\pi\)
\(164\) 6.00152 0.904584i 0.468640 0.0706361i
\(165\) −6.03719 + 10.4567i −0.469995 + 0.814055i
\(166\) 5.49470 + 9.51711i 0.426472 + 0.738671i
\(167\) −7.38676 9.26271i −0.571605 0.716770i 0.409051 0.912512i \(-0.365860\pi\)
−0.980655 + 0.195742i \(0.937289\pi\)
\(168\) 3.36946 19.8300i 0.259960 1.52992i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −11.3439 1.70982i −0.870038 0.131137i
\(171\) 1.46966 1.00200i 0.112388 0.0766248i
\(172\) 2.27464 1.55083i 0.173440 0.118249i
\(173\) 10.6518 + 1.60551i 0.809845 + 0.122065i 0.540896 0.841090i \(-0.318085\pi\)
0.268950 + 0.963154i \(0.413324\pi\)
\(174\) −5.03535 + 6.31413i −0.381729 + 0.478673i
\(175\) 0.767931 4.51943i 0.0580502 0.341637i
\(176\) −0.997316 1.25060i −0.0751755 0.0942671i
\(177\) −4.67659 8.10010i −0.351514 0.608841i
\(178\) 6.07041 10.5143i 0.454996 0.788077i
\(179\) 6.74295 1.01634i 0.503992 0.0759645i 0.107874 0.994165i \(-0.465596\pi\)
0.396117 + 0.918200i \(0.370357\pi\)
\(180\) −16.2603 + 15.0873i −1.21197 + 1.12454i
\(181\) −22.3042 10.7411i −1.65786 0.798382i −0.998933 0.0461737i \(-0.985297\pi\)
−0.658925 0.752209i \(-0.728988\pi\)
\(182\) 1.55041 1.18965i 0.114924 0.0881825i
\(183\) 24.8294 11.9572i 1.83544 0.883901i
\(184\) −2.94427 + 7.50189i −0.217055 + 0.553046i
\(185\) −0.814080 + 10.8631i −0.0598523 + 0.798674i
\(186\) 14.4389 + 4.45381i 1.05871 + 0.326569i
\(187\) −0.698611 9.32232i −0.0510875 0.681716i
\(188\) −0.300101 + 1.31483i −0.0218871 + 0.0958937i
\(189\) −2.96081 22.4914i −0.215368 1.63601i
\(190\) −0.129061 0.565454i −0.00936308 0.0410223i
\(191\) −6.24480 + 1.92627i −0.451858 + 0.139380i −0.512327 0.858790i \(-0.671216\pi\)
0.0604693 + 0.998170i \(0.480740\pi\)
\(192\) 2.48156 + 6.32291i 0.179091 + 0.456317i
\(193\) −2.53435 2.35153i −0.182426 0.169267i 0.583674 0.811988i \(-0.301615\pi\)
−0.766100 + 0.642721i \(0.777805\pi\)
\(194\) 3.30749 + 2.25501i 0.237464 + 0.161900i
\(195\) −7.73115 −0.553639
\(196\) −9.33157 + 4.07109i −0.666541 + 0.290792i
\(197\) 0.775559 0.0552563 0.0276282 0.999618i \(-0.491205\pi\)
0.0276282 + 0.999618i \(0.491205\pi\)
\(198\) 5.60225 + 3.81955i 0.398135 + 0.271444i
\(199\) 13.2492 + 12.2935i 0.939214 + 0.871464i 0.991884 0.127148i \(-0.0405825\pi\)
−0.0526693 + 0.998612i \(0.516773\pi\)
\(200\) 1.61517 + 4.11538i 0.114210 + 0.291001i
\(201\) 37.5797 11.5918i 2.65066 0.817622i
\(202\) −1.93834 8.49241i −0.136381 0.597524i
\(203\) 9.66650 + 0.906561i 0.678455 + 0.0636281i
\(204\) 5.77208 25.2891i 0.404126 1.77059i
\(205\) −0.809166 10.7976i −0.0565146 0.754135i
\(206\) −8.83163 2.72420i −0.615329 0.189804i
\(207\) −1.38733 + 18.5127i −0.0964263 + 1.28672i
\(208\) 0.374181 0.953397i 0.0259448 0.0661062i
\(209\) 0.425827 0.205068i 0.0294551 0.0141848i
\(210\) −14.6642 3.63695i −1.01193 0.250973i
\(211\) −17.2538 8.30899i −1.18780 0.572014i −0.267626 0.963523i \(-0.586239\pi\)
−0.920174 + 0.391509i \(0.871953\pi\)
\(212\) −11.0108 + 10.2165i −0.756225 + 0.701674i
\(213\) 10.6624 1.60710i 0.730575 0.110117i
\(214\) 5.85914 10.1483i 0.400523 0.693726i
\(215\) −2.45573 4.25345i −0.167479 0.290083i
\(216\) 13.6405 + 17.1047i 0.928122 + 1.16383i
\(217\) −5.02859 17.4553i −0.341363 1.18494i
\(218\) 5.95122 7.46260i 0.403068 0.505431i
\(219\) −30.2594 4.56087i −2.04474 0.308195i
\(220\) −4.86980 + 3.32017i −0.328322 + 0.223846i
\(221\) 4.94567 3.37190i 0.332682 0.226819i
\(222\) 9.13646 + 1.37710i 0.613199 + 0.0924249i
\(223\) 11.3291 14.2062i 0.758651 0.951318i −0.241165 0.970484i \(-0.577530\pi\)
0.999816 + 0.0191656i \(0.00610098\pi\)
\(224\) 8.97129 12.6436i 0.599420 0.844784i
\(225\) 6.34971 + 7.96228i 0.423314 + 0.530819i
\(226\) −2.94190 5.09553i −0.195693 0.338950i
\(227\) −13.3759 + 23.1677i −0.887789 + 1.53770i −0.0453054 + 0.998973i \(0.514426\pi\)
−0.842483 + 0.538722i \(0.818907\pi\)
\(228\) 1.29678 0.195458i 0.0858815 0.0129445i
\(229\) −16.5348 + 15.3420i −1.09265 + 1.01383i −0.0928140 + 0.995683i \(0.529586\pi\)
−0.999835 + 0.0181469i \(0.994223\pi\)
\(230\) 5.45390 + 2.62646i 0.359620 + 0.173184i
\(231\) 0.230345 12.3096i 0.0151556 0.809913i
\(232\) −8.43597 + 4.06255i −0.553848 + 0.266719i
\(233\) 8.64020 22.0149i 0.566038 1.44224i −0.305632 0.952150i \(-0.598868\pi\)
0.871670 0.490093i \(-0.163037\pi\)
\(234\) −0.324438 + 4.32933i −0.0212092 + 0.283017i
\(235\) 2.29913 + 0.709187i 0.149979 + 0.0462623i
\(236\) −0.341189 4.55285i −0.0222095 0.296366i
\(237\) 2.33345 10.2235i 0.151574 0.664089i
\(238\) 10.9670 4.06913i 0.710887 0.263763i
\(239\) 2.92405 + 12.8111i 0.189141 + 0.828680i 0.977071 + 0.212915i \(0.0682958\pi\)
−0.787930 + 0.615765i \(0.788847\pi\)
\(240\) −7.56643 + 2.33393i −0.488411 + 0.150655i
\(241\) 4.65298 + 11.8556i 0.299725 + 0.763686i 0.998816 + 0.0486531i \(0.0154929\pi\)
−0.699091 + 0.715032i \(0.746412\pi\)
\(242\) −4.63531 4.30094i −0.297969 0.276475i
\(243\) −1.76939 1.20635i −0.113506 0.0773874i
\(244\) 13.4523 0.861194
\(245\) 5.99856 + 17.1440i 0.383234 + 1.09529i
\(246\) −9.18390 −0.585544
\(247\) 0.250040 + 0.170474i 0.0159096 + 0.0108470i
\(248\) 12.8419 + 11.9156i 0.815462 + 0.756638i
\(249\) 16.1955 + 41.2656i 1.02635 + 2.61510i
\(250\) −5.98382 + 1.84576i −0.378450 + 0.116736i
\(251\) 5.18320 + 22.7091i 0.327161 + 1.43338i 0.824517 + 0.565838i \(0.191447\pi\)
−0.497356 + 0.867547i \(0.665696\pi\)
\(252\) 7.06989 21.4844i 0.445361 1.35339i
\(253\) −1.09766 + 4.80916i −0.0690093 + 0.302349i
\(254\) −0.956877 12.7686i −0.0600398 0.801175i
\(255\) −44.2209 13.6403i −2.76922 0.854191i
\(256\) −0.894653 + 11.9383i −0.0559158 + 0.746145i
\(257\) −7.34253 + 18.7085i −0.458014 + 1.16700i 0.496288 + 0.868158i \(0.334696\pi\)
−0.954302 + 0.298843i \(0.903399\pi\)
\(258\) −3.75323 + 1.80746i −0.233666 + 0.112528i
\(259\) −4.63140 10.0962i −0.287781 0.627345i
\(260\) −3.40012 1.63741i −0.210867 0.101548i
\(261\) −15.8112 + 14.6707i −0.978690 + 0.908091i
\(262\) −9.63141 + 1.45170i −0.595031 + 0.0896864i
\(263\) 6.20861 10.7536i 0.382840 0.663097i −0.608627 0.793456i \(-0.708280\pi\)
0.991467 + 0.130359i \(0.0416129\pi\)
\(264\) 5.93669 + 10.2827i 0.365378 + 0.632854i
\(265\) 16.7077 + 20.9508i 1.02634 + 1.28700i
\(266\) 0.394072 + 0.440976i 0.0241621 + 0.0270379i
\(267\) 30.5352 38.2899i 1.86872 2.34330i
\(268\) 18.9824 + 2.86114i 1.15953 + 0.174772i
\(269\) 11.3787 7.75789i 0.693774 0.473007i −0.164382 0.986397i \(-0.552563\pi\)
0.858155 + 0.513390i \(0.171611\pi\)
\(270\) 13.5777 9.25712i 0.826312 0.563370i
\(271\) 18.0051 + 2.71384i 1.09373 + 0.164854i 0.671042 0.741420i \(-0.265847\pi\)
0.422692 + 0.906273i \(0.361085\pi\)
\(272\) 3.82236 4.79309i 0.231765 0.290624i
\(273\) 6.89956 3.81316i 0.417580 0.230783i
\(274\) −6.57715 8.24749i −0.397340 0.498249i
\(275\) 1.35303 + 2.34351i 0.0815905 + 0.141319i
\(276\) −6.84365 + 11.8536i −0.411939 + 0.713500i
\(277\) −1.73372 + 0.261316i −0.104169 + 0.0157009i −0.200920 0.979608i \(-0.564393\pi\)
0.0967509 + 0.995309i \(0.469155\pi\)
\(278\) 10.5973 9.83290i 0.635587 0.589738i
\(279\) 36.3589 + 17.5095i 2.17675 + 1.04827i
\(280\) −13.4882 11.1756i −0.806073 0.667872i
\(281\) −17.9536 + 8.64598i −1.07102 + 0.515776i −0.884435 0.466663i \(-0.845456\pi\)
−0.186585 + 0.982439i \(0.559742\pi\)
\(282\) 0.745560 1.89966i 0.0443974 0.113123i
\(283\) −1.67910 + 22.4061i −0.0998124 + 1.33190i 0.692336 + 0.721575i \(0.256582\pi\)
−0.792148 + 0.610328i \(0.791037\pi\)
\(284\) 5.02964 + 1.55144i 0.298454 + 0.0920609i
\(285\) −0.174841 2.33309i −0.0103567 0.138200i
\(286\) −0.256696 + 1.12466i −0.0151788 + 0.0665025i
\(287\) 6.04770 + 9.23704i 0.356984 + 0.545245i
\(288\) 7.66385 + 33.5775i 0.451597 + 1.97858i
\(289\) 17.9928 5.55005i 1.05840 0.326474i
\(290\) 2.56946 + 6.54687i 0.150884 + 0.384446i
\(291\) 11.8372 + 10.9834i 0.693912 + 0.643856i
\(292\) −12.3420 8.41461i −0.722259 0.492428i
\(293\) −28.9766 −1.69283 −0.846415 0.532524i \(-0.821244\pi\)
−0.846415 + 0.532524i \(0.821244\pi\)
\(294\) 14.8807 3.98693i 0.867859 0.232523i
\(295\) −8.14521 −0.474233
\(296\) 8.85088 + 6.03443i 0.514447 + 0.350744i
\(297\) 9.81645 + 9.10833i 0.569608 + 0.528519i
\(298\) 2.69851 + 6.87570i 0.156321 + 0.398299i
\(299\) −3.01814 + 0.930974i −0.174544 + 0.0538396i
\(300\) 1.67081 + 7.32031i 0.0964645 + 0.422639i
\(301\) 4.28946 + 2.58471i 0.247241 + 0.148980i
\(302\) −0.611590 + 2.67955i −0.0351931 + 0.154191i
\(303\) −2.62589 35.0401i −0.150854 2.01300i
\(304\) 0.296176 + 0.0913582i 0.0169869 + 0.00523975i
\(305\) 1.79347 23.9322i 0.102694 1.37035i
\(306\) −9.49412 + 24.1906i −0.542743 + 1.38289i
\(307\) −3.07170 + 1.47925i −0.175311 + 0.0844254i −0.519481 0.854482i \(-0.673875\pi\)
0.344170 + 0.938907i \(0.388160\pi\)
\(308\) 2.70841 5.36492i 0.154326 0.305694i
\(309\) −33.5900 16.1761i −1.91087 0.920225i
\(310\) 9.64601 8.95019i 0.547857 0.508337i
\(311\) −8.33329 + 1.25604i −0.472537 + 0.0712235i −0.380994 0.924578i \(-0.624418\pi\)
−0.0915434 + 0.995801i \(0.529180\pi\)
\(312\) −3.80123 + 6.58392i −0.215202 + 0.372741i
\(313\) 9.55796 + 16.5549i 0.540248 + 0.935737i 0.998889 + 0.0471157i \(0.0150029\pi\)
−0.458641 + 0.888621i \(0.651664\pi\)
\(314\) 5.22937 + 6.55742i 0.295110 + 0.370057i
\(315\) −37.2791 15.4419i −2.10044 0.870055i
\(316\) 3.19152 4.00204i 0.179537 0.225132i
\(317\) 8.44992 + 1.27362i 0.474595 + 0.0715336i 0.381984 0.924169i \(-0.375241\pi\)
0.0926103 + 0.995702i \(0.470479\pi\)
\(318\) 18.7792 12.8034i 1.05309 0.717981i
\(319\) −4.73530 + 3.22848i −0.265126 + 0.180760i
\(320\) 5.84913 + 0.881614i 0.326976 + 0.0492837i
\(321\) 29.4725 36.9573i 1.64499 2.06275i
\(322\) −6.16268 + 0.346024i −0.343433 + 0.0192831i
\(323\) 1.12941 + 1.41624i 0.0628421 + 0.0788015i
\(324\) 5.75546 + 9.96875i 0.319748 + 0.553820i
\(325\) −0.866334 + 1.50054i −0.0480556 + 0.0832347i
\(326\) −6.22552 + 0.938346i −0.344799 + 0.0519702i
\(327\) 28.2250 26.1890i 1.56085 1.44826i
\(328\) −9.59316 4.61982i −0.529694 0.255087i
\(329\) −2.40161 + 0.501071i −0.132405 + 0.0276249i
\(330\) 8.03531 3.86960i 0.442329 0.213014i
\(331\) −3.64648 + 9.29107i −0.200428 + 0.510683i −0.995383 0.0959861i \(-0.969400\pi\)
0.794954 + 0.606669i \(0.207495\pi\)
\(332\) −1.61709 + 21.5785i −0.0887491 + 1.18427i
\(333\) 23.5804 + 7.27358i 1.29220 + 0.398589i
\(334\) 0.653955 + 8.72643i 0.0357828 + 0.477489i
\(335\) 7.62084 33.3891i 0.416371 1.82424i
\(336\) 5.60141 5.81480i 0.305582 0.317223i
\(337\) 1.30350 + 5.71099i 0.0710059 + 0.311097i 0.997942 0.0641218i \(-0.0204246\pi\)
−0.926936 + 0.375219i \(0.877567\pi\)
\(338\) −0.705816 + 0.217715i −0.0383913 + 0.0118422i
\(339\) −8.67122 22.0939i −0.470956 1.19998i
\(340\) −16.5592 15.3647i −0.898048 0.833266i
\(341\) 8.85967 + 6.04042i 0.479778 + 0.327107i
\(342\) −1.31383 −0.0710439
\(343\) −13.8091 12.3413i −0.745621 0.666370i
\(344\) −4.82970 −0.260400
\(345\) 20.1756 + 13.7555i 1.08622 + 0.740570i
\(346\) −5.83264 5.41190i −0.313565 0.290946i
\(347\) 1.83481 + 4.67502i 0.0984979 + 0.250968i 0.971626 0.236522i \(-0.0760076\pi\)
−0.873128 + 0.487491i \(0.837912\pi\)
\(348\) −15.1959 + 4.68732i −0.814587 + 0.251267i
\(349\) −4.38643 19.2182i −0.234800 1.02873i −0.945600 0.325333i \(-0.894524\pi\)
0.710799 0.703395i \(-0.248333\pi\)
\(350\) −2.34913 + 2.43862i −0.125566 + 0.130350i
\(351\) −1.90796 + 8.35933i −0.101840 + 0.446188i
\(352\) 0.683886 + 9.12582i 0.0364512 + 0.486408i
\(353\) −18.3351 5.65563i −0.975880 0.301019i −0.234508 0.972114i \(-0.575348\pi\)
−0.741371 + 0.671095i \(0.765824\pi\)
\(354\) −0.516277 + 6.88924i −0.0274398 + 0.366159i
\(355\) 3.43063 8.74111i 0.182079 0.463930i
\(356\) 21.5388 10.3725i 1.14155 0.549743i
\(357\) 46.1920 9.63748i 2.44474 0.510070i
\(358\) −4.53801 2.18539i −0.239841 0.115501i
\(359\) −24.0363 + 22.3024i −1.26859 + 1.17708i −0.293327 + 0.956012i \(0.594763\pi\)
−0.975259 + 0.221064i \(0.929047\pi\)
\(360\) 38.4794 5.79983i 2.02804 0.305678i
\(361\) 9.45421 16.3752i 0.497590 0.861851i
\(362\) 9.14270 + 15.8356i 0.480530 + 0.832302i
\(363\) −15.9036 19.9425i −0.834724 1.04671i
\(364\) 3.84199 0.215721i 0.201375 0.0113069i
\(365\) −16.6154 + 20.8350i −0.869690 + 1.09056i
\(366\) −20.1282 3.03384i −1.05212 0.158581i
\(367\) −9.16481 + 6.24846i −0.478399 + 0.326167i −0.778396 0.627773i \(-0.783967\pi\)
0.299997 + 0.953940i \(0.403014\pi\)
\(368\) −2.67279 + 1.82228i −0.139329 + 0.0949928i
\(369\) −24.2538 3.65567i −1.26260 0.190306i
\(370\) 5.01682 6.29089i 0.260812 0.327048i
\(371\) −25.2438 10.4567i −1.31060 0.542882i
\(372\) 18.5508 + 23.2620i 0.961814 + 1.20608i
\(373\) 10.5169 + 18.2158i 0.544543 + 0.943177i 0.998636 + 0.0522220i \(0.0166303\pi\)
−0.454092 + 0.890955i \(0.650036\pi\)
\(374\) −3.45253 + 5.97996i −0.178526 + 0.309217i
\(375\) −24.9781 + 3.76484i −1.28986 + 0.194416i
\(376\) 1.73438 1.60927i 0.0894437 0.0829916i
\(377\) −3.30622 1.59219i −0.170279 0.0820020i
\(378\) −7.55143 + 14.9582i −0.388404 + 0.769365i
\(379\) 4.62209 2.22588i 0.237421 0.114336i −0.311391 0.950282i \(-0.600795\pi\)
0.548811 + 0.835946i \(0.315080\pi\)
\(380\) 0.417240 1.06311i 0.0214040 0.0545364i
\(381\) 3.85993 51.5071i 0.197750 2.63879i
\(382\) 4.61260 + 1.42280i 0.236001 + 0.0727968i
\(383\) −0.425991 5.68446i −0.0217671 0.290462i −0.997455 0.0712978i \(-0.977286\pi\)
0.975688 0.219164i \(-0.0703331\pi\)
\(384\) −6.65355 + 29.1511i −0.339538 + 1.48761i
\(385\) −9.18333 5.53363i −0.468026 0.282020i
\(386\) 0.568238 + 2.48961i 0.0289225 + 0.126718i
\(387\) −10.6314 + 3.27935i −0.540423 + 0.166698i
\(388\) 2.87975 + 7.33748i 0.146197 + 0.372504i
\(389\) −2.59399 2.40687i −0.131521 0.122033i 0.611670 0.791113i \(-0.290498\pi\)
−0.743191 + 0.669080i \(0.766689\pi\)
\(390\) 4.71821 + 3.21682i 0.238916 + 0.162890i
\(391\) −18.9058 −0.956109
\(392\) 17.5494 + 3.32090i 0.886377 + 0.167731i
\(393\) −39.2908 −1.98196
\(394\) −0.473313 0.322699i −0.0238452 0.0162574i
\(395\) −6.69431 6.21141i −0.336827 0.312530i
\(396\) 4.87774 + 12.4283i 0.245116 + 0.624545i
\(397\) 21.0638 6.49732i 1.05716 0.326091i 0.283026 0.959112i \(-0.408662\pi\)
0.774134 + 0.633021i \(0.218185\pi\)
\(398\) −2.97068 13.0154i −0.148906 0.652402i
\(399\) 1.30676 + 1.99590i 0.0654198 + 0.0999198i
\(400\) −0.394884 + 1.73010i −0.0197442 + 0.0865050i
\(401\) 0.749784 + 10.0052i 0.0374424 + 0.499634i 0.984126 + 0.177470i \(0.0567913\pi\)
−0.946684 + 0.322164i \(0.895590\pi\)
\(402\) −27.7575 8.56206i −1.38442 0.427037i
\(403\) −0.513082 + 6.84661i −0.0255585 + 0.341054i
\(404\) 6.26643 15.9666i 0.311766 0.794368i
\(405\) 18.5022 8.91018i 0.919380 0.442750i
\(406\) −5.52212 4.57536i −0.274058 0.227071i
\(407\) 5.90756 + 2.84493i 0.292827 + 0.141018i
\(408\) −33.3586 + 30.9523i −1.65150 + 1.53237i
\(409\) −15.4573 + 2.32981i −0.764313 + 0.115202i −0.519618 0.854398i \(-0.673926\pi\)
−0.244695 + 0.969600i \(0.578688\pi\)
\(410\) −3.99889 + 6.92629i −0.197491 + 0.342065i
\(411\) −21.2766 36.8521i −1.04950 1.81778i
\(412\) −11.3467 14.2283i −0.559012 0.700979i
\(413\) 7.26908 4.01738i 0.357688 0.197682i
\(414\) 8.54953 10.7208i 0.420186 0.526897i
\(415\) 38.1735 + 5.75373i 1.87386 + 0.282440i
\(416\) −4.84142 + 3.30083i −0.237370 + 0.161836i
\(417\) 48.1827 32.8504i 2.35952 1.60869i
\(418\) −0.345202 0.0520309i −0.0168844 0.00254491i
\(419\) −13.3791 + 16.7768i −0.653611 + 0.819602i −0.992631 0.121177i \(-0.961333\pi\)
0.339020 + 0.940779i \(0.389905\pi\)
\(420\) −19.8235 22.1829i −0.967286 1.08242i
\(421\) −7.09132 8.89223i −0.345610 0.433381i 0.578398 0.815755i \(-0.303678\pi\)
−0.924008 + 0.382374i \(0.875107\pi\)
\(422\) 7.07249 + 12.2499i 0.344284 + 0.596317i
\(423\) 2.72511 4.72003i 0.132500 0.229496i
\(424\) 26.0566 3.92741i 1.26542 0.190732i
\(425\) −7.60273 + 7.05431i −0.368787 + 0.342184i
\(426\) −7.17580 3.45568i −0.347669 0.167428i
\(427\) 10.2033 + 22.2425i 0.493771 + 1.07639i
\(428\) 20.7892 10.0115i 1.00488 0.483926i
\(429\) −1.70008 + 4.33174i −0.0820807 + 0.209138i
\(430\) −0.271103 + 3.61761i −0.0130737 + 0.174457i
\(431\) −7.86562 2.42622i −0.378874 0.116867i 0.0994683 0.995041i \(-0.468286\pi\)
−0.478342 + 0.878174i \(0.658762\pi\)
\(432\) 0.656263 + 8.75721i 0.0315744 + 0.421332i
\(433\) 3.36449 14.7408i 0.161687 0.708398i −0.827467 0.561515i \(-0.810219\pi\)
0.989154 0.146883i \(-0.0469241\pi\)
\(434\) −4.19403 + 12.7451i −0.201320 + 0.611783i
\(435\) 6.31302 + 27.6591i 0.302686 + 1.32615i
\(436\) 17.9599 5.53989i 0.860123 0.265313i
\(437\) −0.349203 0.889755i −0.0167046 0.0425627i
\(438\) 16.5692 + 15.3739i 0.791706 + 0.734596i
\(439\) 29.7387 + 20.2755i 1.41935 + 0.967696i 0.998154 + 0.0607265i \(0.0193417\pi\)
0.421195 + 0.906970i \(0.361611\pi\)
\(440\) 10.3399 0.492937
\(441\) 40.8854 4.60581i 1.94693 0.219324i
\(442\) −4.42127 −0.210298
\(443\) −23.2480 15.8502i −1.10455 0.753068i −0.133285 0.991078i \(-0.542553\pi\)
−0.971263 + 0.238010i \(0.923505\pi\)
\(444\) 13.3369 + 12.3748i 0.632940 + 0.587282i
\(445\) −15.5816 39.7013i −0.738639 1.88202i
\(446\) −12.8250 + 3.95598i −0.607280 + 0.187321i
\(447\) 6.63010 + 29.0484i 0.313593 + 1.37394i
\(448\) −5.65480 + 2.09812i −0.267164 + 0.0991269i
\(449\) −3.38583 + 14.8343i −0.159787 + 0.700074i 0.830028 + 0.557721i \(0.188324\pi\)
−0.989816 + 0.142353i \(0.954533\pi\)
\(450\) −0.562144 7.50129i −0.0264997 0.353614i
\(451\) −6.22777 1.92101i −0.293254 0.0904570i
\(452\) 0.865799 11.5533i 0.0407238 0.543421i
\(453\) −4.05052 + 10.3206i −0.190310 + 0.484902i
\(454\) 17.8029 8.57341i 0.835530 0.402370i
\(455\) 0.128440 6.86383i 0.00602138 0.321781i
\(456\) −2.07285 0.998230i −0.0970699 0.0467464i
\(457\) −17.5660 + 16.2988i −0.821701 + 0.762427i −0.974154 0.225883i \(-0.927473\pi\)
0.152453 + 0.988311i \(0.451283\pi\)
\(458\) 16.4746 2.48314i 0.769805 0.116029i
\(459\) −25.6619 + 44.4477i −1.19779 + 2.07464i
\(460\) 5.95979 + 10.3227i 0.277877 + 0.481296i
\(461\) 24.6819 + 30.9501i 1.14955 + 1.44149i 0.877737 + 0.479142i \(0.159052\pi\)
0.271814 + 0.962350i \(0.412376\pi\)
\(462\) −5.26243 + 7.41654i −0.244830 + 0.345049i
\(463\) 6.34628 7.95799i 0.294937 0.369839i −0.612180 0.790719i \(-0.709707\pi\)
0.907116 + 0.420880i \(0.138279\pi\)
\(464\) −3.71644 0.560163i −0.172531 0.0260049i
\(465\) 43.8573 29.9014i 2.03383 1.38664i
\(466\) −14.4331 + 9.84030i −0.668599 + 0.455843i
\(467\) 5.60401 + 0.844668i 0.259322 + 0.0390866i 0.277417 0.960750i \(-0.410522\pi\)
−0.0180942 + 0.999836i \(0.505760\pi\)
\(468\) −5.33002 + 6.68364i −0.246380 + 0.308951i
\(469\) 9.66703 + 33.5563i 0.446382 + 1.54949i
\(470\) −1.10804 1.38944i −0.0511102 0.0640901i
\(471\) 16.9166 + 29.3004i 0.779476 + 1.35009i
\(472\) −4.00481 + 6.93654i −0.184336 + 0.319280i
\(473\) −2.92321 + 0.440602i −0.134409 + 0.0202589i
\(474\) −5.67793 + 5.26835i −0.260796 + 0.241983i
\(475\) −0.472420 0.227506i −0.0216761 0.0104387i
\(476\) 22.3562 + 5.54467i 1.02469 + 0.254140i
\(477\) 54.6905 26.3375i 2.50410 1.20591i
\(478\) 3.54601 9.03508i 0.162191 0.413255i
\(479\) −0.290630 + 3.87819i −0.0132792 + 0.177199i 0.986620 + 0.163034i \(0.0521280\pi\)
−0.999900 + 0.0141650i \(0.995491\pi\)
\(480\) 43.2888 + 13.3528i 1.97585 + 0.609471i
\(481\) 0.313742 + 4.18660i 0.0143054 + 0.190893i
\(482\) 2.09330 9.17134i 0.0953471 0.417743i
\(483\) −24.7899 2.32489i −1.12798 0.105786i
\(484\) −2.77063 12.1389i −0.125938 0.551769i
\(485\) 13.4376 4.14496i 0.610171 0.188213i
\(486\) 0.577889 + 1.47244i 0.0262136 + 0.0667911i
\(487\) −16.3882 15.2060i −0.742620 0.689050i 0.215152 0.976581i \(-0.430975\pi\)
−0.957772 + 0.287530i \(0.907166\pi\)
\(488\) −19.4991 13.2942i −0.882681 0.601802i
\(489\) −25.3966 −1.14848
\(490\) 3.47256 12.9587i 0.156874 0.585413i
\(491\) 7.48648 0.337860 0.168930 0.985628i \(-0.445969\pi\)
0.168930 + 0.985628i \(0.445969\pi\)
\(492\) −14.9416 10.1870i −0.673617 0.459264i
\(493\) −16.1019 14.9403i −0.725191 0.672879i
\(494\) −0.0816638 0.208076i −0.00367423 0.00936178i
\(495\) 22.7608 7.02077i 1.02302 0.315560i
\(496\) 1.56475 + 6.85563i 0.0702594 + 0.307827i
\(497\) 1.24967 + 9.49293i 0.0560552 + 0.425816i
\(498\) 7.28611 31.9225i 0.326499 1.43048i
\(499\) −0.958334 12.7881i −0.0429009 0.572473i −0.976691 0.214651i \(-0.931139\pi\)
0.933790 0.357822i \(-0.116481\pi\)
\(500\) −11.7826 3.63445i −0.526934 0.162538i
\(501\) −2.63798 + 35.2014i −0.117856 + 1.57268i
\(502\) 6.28569 16.0157i 0.280544 0.714815i
\(503\) −21.6192 + 10.4112i −0.963951 + 0.464214i −0.848556 0.529105i \(-0.822528\pi\)
−0.115395 + 0.993320i \(0.536813\pi\)
\(504\) −31.4798 + 24.1547i −1.40222 + 1.07594i
\(505\) −27.5698 13.2769i −1.22684 0.590816i
\(506\) 2.67091 2.47824i 0.118736 0.110171i
\(507\) −2.94627 + 0.444079i −0.130848 + 0.0197222i
\(508\) 12.6065 21.8351i 0.559322 0.968774i
\(509\) −0.406402 0.703910i −0.0180135 0.0312002i 0.856878 0.515519i \(-0.172401\pi\)
−0.874892 + 0.484319i \(0.839068\pi\)
\(510\) 21.3118 + 26.7242i 0.943704 + 1.18337i
\(511\) 4.55192 26.7890i 0.201365 1.18507i
\(512\) −7.00050 + 8.77835i −0.309381 + 0.387952i
\(513\) −2.56581 0.386733i −0.113283 0.0170747i
\(514\) 12.2654 8.36238i 0.541002 0.368849i
\(515\) −26.8255 + 18.2893i −1.18207 + 0.805925i
\(516\) −8.11111 1.22255i −0.357072 0.0538199i
\(517\) 0.902933 1.13224i 0.0397109 0.0497960i
\(518\) −1.37440 + 8.08861i −0.0603875 + 0.355393i
\(519\) −20.0117 25.0938i −0.878414 1.10150i
\(520\) 3.31030 + 5.73360i 0.145166 + 0.251435i
\(521\) −0.819090 + 1.41871i −0.0358850 + 0.0621546i −0.883410 0.468601i \(-0.844758\pi\)
0.847525 + 0.530755i \(0.178092\pi\)
\(522\) 15.7536 2.37448i 0.689517 0.103928i
\(523\) 13.7925 12.7976i 0.603105 0.559600i −0.318405 0.947955i \(-0.603147\pi\)
0.921510 + 0.388355i \(0.126957\pi\)
\(524\) −17.2799 8.32155i −0.754875 0.363529i
\(525\) −10.8364 + 8.31489i −0.472940 + 0.362892i
\(526\) −8.26346 + 3.97947i −0.360304 + 0.173513i
\(527\) −15.0145 + 38.2562i −0.654040 + 1.66647i
\(528\) −0.356164 + 4.75268i −0.0155000 + 0.206834i
\(529\) −12.4455 3.83892i −0.541107 0.166909i
\(530\) −1.47914 19.7378i −0.0642498 0.857355i
\(531\) −4.10571 + 17.9883i −0.178173 + 0.780626i
\(532\) 0.151987 + 1.15455i 0.00658947 + 0.0500560i
\(533\) −0.928580 4.06838i −0.0402213 0.176221i
\(534\) −34.5670 + 10.6625i −1.49586 + 0.461412i
\(535\) −15.0393 38.3196i −0.650207 1.65670i
\(536\) −24.6875 22.9066i −1.06634 0.989415i
\(537\) −16.7874 11.4455i −0.724431 0.493909i
\(538\) −10.1722 −0.438556
\(539\) 10.9248 + 0.409008i 0.470565 + 0.0176172i
\(540\) 32.3581 1.39247
\(541\) −23.5251 16.0391i −1.01142 0.689576i −0.0602328 0.998184i \(-0.519184\pi\)
−0.951189 + 0.308609i \(0.900137\pi\)
\(542\) −9.85909 9.14790i −0.423484 0.392936i
\(543\) 26.9480 + 68.6623i 1.15645 + 2.94658i
\(544\) −33.5159 + 10.3383i −1.43698 + 0.443250i
\(545\) −7.46129 32.6900i −0.319606 1.40029i
\(546\) −5.79730 0.543693i −0.248102 0.0232679i
\(547\) −8.70135 + 38.1231i −0.372043 + 1.63003i 0.348991 + 0.937126i \(0.386524\pi\)
−0.721034 + 0.692900i \(0.756333\pi\)
\(548\) −1.55227 20.7136i −0.0663097 0.884842i
\(549\) −51.9490 16.0242i −2.21713 0.683894i
\(550\) 0.149369 1.99319i 0.00636910 0.0849897i
\(551\) 0.405717 1.03375i 0.0172841 0.0440393i
\(552\) 21.6342 10.4185i 0.920811 0.443439i
\(553\) 9.03782 + 2.24152i 0.384327 + 0.0953191i
\(554\) 1.16679 + 0.561898i 0.0495723 + 0.0238727i
\(555\) 23.7934 22.0771i 1.00997 0.937119i
\(556\) 28.1480 4.24263i 1.19374 0.179928i
\(557\) −5.60819 + 9.71367i −0.237627 + 0.411582i −0.960033 0.279887i \(-0.909703\pi\)
0.722406 + 0.691469i \(0.243036\pi\)
\(558\) −14.9038 25.8142i −0.630930 1.09280i
\(559\) −1.18017 1.47989i −0.0499161 0.0625928i
\(560\) −1.94640 6.75636i −0.0822503 0.285508i
\(561\) −17.3668 + 21.7773i −0.733227 + 0.919438i
\(562\) 14.5543 + 2.19370i 0.613935 + 0.0925358i
\(563\) 14.1125 9.62174i 0.594771 0.405508i −0.228181 0.973619i \(-0.573278\pi\)
0.822952 + 0.568111i \(0.192326\pi\)
\(564\) 3.32011 2.26361i 0.139802 0.0953154i
\(565\) −20.4384 3.08059i −0.859849 0.129601i
\(566\) 10.3476 12.9755i 0.434942 0.545400i
\(567\) −12.1173 + 17.0774i −0.508880 + 0.717183i
\(568\) −5.75725 7.21936i −0.241569 0.302918i
\(569\) −16.9082 29.2858i −0.708827 1.22772i −0.965293 0.261171i \(-0.915891\pi\)
0.256465 0.966553i \(-0.417442\pi\)
\(570\) −0.864063 + 1.49660i −0.0361916 + 0.0626857i
\(571\) −20.6638 + 3.11457i −0.864755 + 0.130341i −0.566416 0.824119i \(-0.691671\pi\)
−0.298339 + 0.954460i \(0.596432\pi\)
\(572\) −1.66512 + 1.54501i −0.0696223 + 0.0646000i
\(573\) 17.5435 + 8.44848i 0.732888 + 0.352940i
\(574\) 0.152575 8.15360i 0.00636837 0.340325i
\(575\) 4.93062 2.37446i 0.205621 0.0990219i
\(576\) 4.89534 12.4731i 0.203972 0.519713i
\(577\) 1.06661 14.2329i 0.0444035 0.592524i −0.929977 0.367618i \(-0.880173\pi\)
0.974380 0.224906i \(-0.0722075\pi\)
\(578\) −13.2901 4.09944i −0.552794 0.170514i
\(579\) 0.769800 + 10.2723i 0.0319918 + 0.426901i
\(580\) −3.08161 + 13.5014i −0.127957 + 0.560615i
\(581\) −36.9053 + 13.6931i −1.53109 + 0.568085i
\(582\) −2.65408 11.6283i −0.110015 0.482008i
\(583\) 15.4127 4.75417i 0.638327 0.196898i
\(584\) 9.57391 + 24.3939i 0.396171 + 1.00943i
\(585\) 11.1799 + 10.3734i 0.462231 + 0.428888i
\(586\) 17.6840 + 12.0567i 0.730519 + 0.498060i
\(587\) 40.0126 1.65150 0.825748 0.564040i \(-0.190753\pi\)
0.825748 + 0.564040i \(0.190753\pi\)
\(588\) 28.6322 + 10.0195i 1.18077 + 0.413198i
\(589\) −2.07776 −0.0856125
\(590\) 4.97091 + 3.38911i 0.204649 + 0.139527i
\(591\) −1.69395 1.57176i −0.0696798 0.0646534i
\(592\) 1.57094 + 4.00269i 0.0645652 + 0.164509i
\(593\) −1.39796 + 0.431213i −0.0574072 + 0.0177078i −0.323326 0.946288i \(-0.604801\pi\)
0.265919 + 0.963995i \(0.414325\pi\)
\(594\) −2.20099 9.64317i −0.0903078 0.395664i
\(595\) 12.8448 39.0334i 0.526584 1.60021i
\(596\) −3.23639 + 14.1795i −0.132568 + 0.580816i
\(597\) −4.02442 53.7021i −0.164708 2.19788i
\(598\) 2.22930 + 0.687647i 0.0911627 + 0.0281200i
\(599\) 0.941893 12.5687i 0.0384847 0.513543i −0.944336 0.328982i \(-0.893295\pi\)
0.982821 0.184561i \(-0.0590864\pi\)
\(600\) 4.81247 12.2620i 0.196468 0.500593i
\(601\) −8.99953 + 4.33395i −0.367099 + 0.176785i −0.608334 0.793681i \(-0.708162\pi\)
0.241235 + 0.970467i \(0.422447\pi\)
\(602\) −1.54234 3.36220i −0.0628609 0.137033i
\(603\) −69.8967 33.6605i −2.84642 1.37076i
\(604\) −3.96723 + 3.68105i −0.161424 + 0.149780i
\(605\) −21.9650 + 3.31070i −0.893005 + 0.134599i
\(606\) −12.9771 + 22.4771i −0.527160 + 0.913069i
\(607\) −3.35562 5.81211i −0.136200 0.235906i 0.789855 0.613294i \(-0.210156\pi\)
−0.926055 + 0.377388i \(0.876822\pi\)
\(608\) −1.10561 1.38639i −0.0448382 0.0562253i
\(609\) −19.2760 21.5703i −0.781102 0.874072i
\(610\) −11.0524 + 13.8592i −0.447498 + 0.561144i
\(611\) 0.916912 + 0.138202i 0.0370943 + 0.00559106i
\(612\) −42.2790 + 28.8253i −1.70903 + 1.16520i
\(613\) −0.278644 + 0.189976i −0.0112543 + 0.00767308i −0.568934 0.822383i \(-0.692644\pi\)
0.557680 + 0.830056i \(0.311692\pi\)
\(614\) 2.49011 + 0.375324i 0.100493 + 0.0151468i
\(615\) −20.1151 + 25.2235i −0.811119 + 1.01711i
\(616\) −9.22772 + 5.09985i −0.371795 + 0.205479i
\(617\) −0.340556 0.427044i −0.0137103 0.0171922i 0.774929 0.632048i \(-0.217786\pi\)
−0.788639 + 0.614856i \(0.789214\pi\)
\(618\) 13.7689 + 23.8484i 0.553864 + 0.959321i
\(619\) −17.5661 + 30.4254i −0.706042 + 1.22290i 0.260273 + 0.965535i \(0.416188\pi\)
−0.966314 + 0.257365i \(0.917146\pi\)
\(620\) 25.6211 3.86176i 1.02897 0.155092i
\(621\) 19.8523 18.4202i 0.796644 0.739178i
\(622\) 5.60831 + 2.70082i 0.224873 + 0.108293i
\(623\) 33.4870 + 27.7457i 1.34163 + 1.11161i
\(624\) −2.74944 + 1.32406i −0.110065 + 0.0530047i
\(625\) −11.2018 + 28.5417i −0.448072 + 1.14167i
\(626\) 1.05516 14.0801i 0.0421727 0.562756i
\(627\) −1.34567 0.415084i −0.0537408 0.0165769i
\(628\) 1.23418 + 16.4690i 0.0492492 + 0.657185i
\(629\) −5.59201 + 24.5002i −0.222968 + 0.976887i
\(630\) 16.3257 + 24.9353i 0.650432 + 0.993446i
\(631\) 5.06092 + 22.1733i 0.201472 + 0.882707i 0.970041 + 0.242940i \(0.0781119\pi\)
−0.768569 + 0.639767i \(0.779031\pi\)
\(632\) −8.58113 + 2.64693i −0.341339 + 0.105289i
\(633\) 20.8461 + 53.1149i 0.828556 + 2.11113i
\(634\) −4.62693 4.29316i −0.183759 0.170503i
\(635\) −37.1648 25.3385i −1.47484 1.00553i
\(636\) 44.7543 1.77462
\(637\) 3.27075 + 6.18888i 0.129592 + 0.245212i
\(638\) 4.23321 0.167594
\(639\) −17.5750 11.9825i −0.695258 0.474019i
\(640\) 19.0880 + 17.7111i 0.754519 + 0.700092i
\(641\) −4.02339 10.2514i −0.158914 0.404907i 0.829134 0.559049i \(-0.188834\pi\)
−0.988049 + 0.154142i \(0.950739\pi\)
\(642\) −33.3640 + 10.2914i −1.31677 + 0.406171i
\(643\) 0.616747 + 2.70214i 0.0243221 + 0.106562i 0.985632 0.168907i \(-0.0540238\pi\)
−0.961310 + 0.275469i \(0.911167\pi\)
\(644\) −10.4101 6.27282i −0.410214 0.247184i
\(645\) −3.25636 + 14.2670i −0.128219 + 0.561764i
\(646\) −0.0999876 1.33424i −0.00393396 0.0524950i
\(647\) 2.98194 + 0.919808i 0.117232 + 0.0361614i 0.352816 0.935693i \(-0.385224\pi\)
−0.235584 + 0.971854i \(0.575700\pi\)
\(648\) 1.50910 20.1375i 0.0592831 0.791078i
\(649\) −1.79113 + 4.56373i −0.0703081 + 0.179142i
\(650\) 1.15306 0.555286i 0.0452269 0.0217801i
\(651\) −24.3918 + 48.3163i −0.955992 + 1.89367i
\(652\) −11.1693 5.37886i −0.437424 0.210652i
\(653\) −22.0571 + 20.4660i −0.863162 + 0.800897i −0.981377 0.192091i \(-0.938473\pi\)
0.118215 + 0.992988i \(0.462283\pi\)
\(654\) −28.1222 + 4.23874i −1.09967 + 0.165748i
\(655\) −17.1082 + 29.6322i −0.668472 + 1.15783i
\(656\) −2.13698 3.70137i −0.0834352 0.144514i
\(657\) 37.6379 + 47.1965i 1.46840 + 1.84131i
\(658\) 1.67416 + 0.693479i 0.0652654 + 0.0270346i
\(659\) 12.5007 15.6754i 0.486957 0.610625i −0.476275 0.879297i \(-0.658013\pi\)
0.963232 + 0.268671i \(0.0865846\pi\)
\(660\) 17.3651 + 2.61737i 0.675936 + 0.101881i
\(661\) 24.5881 16.7639i 0.956368 0.652040i 0.0187927 0.999823i \(-0.494018\pi\)
0.937575 + 0.347783i \(0.113065\pi\)
\(662\) 6.09127 4.15296i 0.236744 0.161409i
\(663\) −17.6357 2.65815i −0.684913 0.103234i
\(664\) 23.6690 29.6799i 0.918534 1.15181i
\(665\) 2.07426 0.116466i 0.0804362 0.00451635i
\(666\) −11.3643 14.2504i −0.440359 0.552192i
\(667\) 5.79520 + 10.0376i 0.224391 + 0.388656i
\(668\) −8.61561 + 14.9227i −0.333348 + 0.577375i
\(669\) −53.5350 + 8.06910i −2.06978 + 0.311970i
\(670\) −18.5436 + 17.2060i −0.716402 + 0.664724i
\(671\) −13.0147 6.26757i −0.502428 0.241957i
\(672\) −45.2183 + 9.43434i −1.74434 + 0.363938i
\(673\) −23.6346 + 11.3818i −0.911048 + 0.438737i −0.829867 0.557962i \(-0.811583\pi\)
−0.0811811 + 0.996699i \(0.525869\pi\)
\(674\) 1.58076 4.02770i 0.0608885 0.155141i
\(675\) 1.11022 14.8149i 0.0427325 0.570226i
\(676\) −1.38981 0.428699i −0.0534541 0.0164884i
\(677\) −2.68075 35.7721i −0.103030 1.37483i −0.773923 0.633280i \(-0.781708\pi\)
0.670894 0.741554i \(-0.265911\pi\)
\(678\) −3.90104 + 17.0916i −0.149818 + 0.656398i
\(679\) −9.94784 + 10.3268i −0.381763 + 0.396307i
\(680\) 8.81835 + 38.6357i 0.338168 + 1.48161i
\(681\) 76.1670 23.4944i 2.91873 0.900308i
\(682\) −2.89360 7.37277i −0.110802 0.282318i
\(683\) −26.6374 24.7159i −1.01925 0.945726i −0.0207130 0.999785i \(-0.506594\pi\)
−0.998538 + 0.0540590i \(0.982784\pi\)
\(684\) −2.13751 1.45733i −0.0817298 0.0557224i
\(685\) −37.0574 −1.41589
\(686\) 3.29244 + 13.2775i 0.125706 + 0.506938i
\(687\) 67.2070 2.56411
\(688\) −1.60179 1.09208i −0.0610677 0.0416352i
\(689\) 7.57056 + 7.02445i 0.288415 + 0.267610i
\(690\) −6.58941 16.7896i −0.250855 0.639167i
\(691\) 17.4265 5.37537i 0.662936 0.204489i 0.0550141 0.998486i \(-0.482480\pi\)
0.607922 + 0.793997i \(0.292003\pi\)
\(692\) −3.48630 15.2745i −0.132529 0.580649i
\(693\) −16.8497 + 17.4916i −0.640068 + 0.664452i
\(694\) 0.825452 3.61654i 0.0313337 0.137282i
\(695\) −3.79511 50.6422i −0.143957 1.92097i
\(696\) 26.6587 + 8.22313i 1.01050 + 0.311697i
\(697\) 1.86665 24.9088i 0.0707045 0.943486i
\(698\) −5.31945 + 13.5537i −0.201344 + 0.513016i
\(699\) −63.4872 + 30.5738i −2.40130 + 1.15641i
\(700\) −6.52684 + 1.36176i −0.246691 + 0.0514696i
\(701\) −1.74192 0.838865i −0.0657915 0.0316835i 0.400699 0.916210i \(-0.368767\pi\)
−0.466490 + 0.884526i \(0.654482\pi\)
\(702\) 4.64260 4.30771i 0.175224 0.162584i
\(703\) −1.25633 + 0.189361i −0.0473833 + 0.00714188i
\(704\) 1.78019 3.08338i 0.0670934 0.116209i
\(705\) −3.58443 6.20841i −0.134997 0.233822i
\(706\) 8.83643 + 11.0805i 0.332563 + 0.417021i
\(707\) 31.1527 1.74917i 1.17162 0.0657844i
\(708\) −8.48164 + 10.6356i −0.318760 + 0.399712i
\(709\) 33.0808 + 4.98612i 1.24237 + 0.187258i 0.737149 0.675730i \(-0.236171\pi\)
0.505225 + 0.862988i \(0.331410\pi\)
\(710\) −5.73072 + 3.90714i −0.215070 + 0.146632i
\(711\) −17.0920 + 11.6531i −0.640998 + 0.437025i
\(712\) −41.4711 6.25076i −1.55419 0.234257i
\(713\) 13.5206 16.9543i 0.506352 0.634945i
\(714\) −32.2003 13.3382i −1.20507 0.499170i
\(715\) 2.52664 + 3.16831i 0.0944910 + 0.118488i
\(716\) −4.95894 8.58913i −0.185324 0.320991i
\(717\) 19.5765 33.9074i 0.731096 1.26630i
\(718\) 23.9487 3.60969i 0.893758 0.134712i
\(719\) −5.21368 + 4.83759i −0.194438 + 0.180412i −0.771383 0.636371i \(-0.780435\pi\)
0.576946 + 0.816782i \(0.304244\pi\)
\(720\) 14.0733 + 6.77733i 0.524480 + 0.252576i
\(721\) 14.9194 29.5529i 0.555628 1.10061i
\(722\) −12.5832 + 6.05977i −0.468300 + 0.225521i
\(723\) 13.8638 35.3243i 0.515599 1.31373i
\(724\) −2.69069 + 35.9047i −0.0999986 + 1.33439i
\(725\) 6.07577 + 1.87413i 0.225648 + 0.0696033i
\(726\) 1.40796 + 18.7879i 0.0522543 + 0.697285i
\(727\) −6.45588 + 28.2851i −0.239435 + 1.04903i 0.702089 + 0.712089i \(0.252251\pi\)
−0.941524 + 0.336945i \(0.890606\pi\)
\(728\) −5.78215 3.48417i −0.214301 0.129132i
\(729\) 6.70322 + 29.3687i 0.248267 + 1.08773i
\(730\) 18.8093 5.80190i 0.696164 0.214738i
\(731\) −4.13938 10.5470i −0.153100 0.390093i
\(732\) −29.3820 27.2625i −1.08599 1.00765i
\(733\) 14.9921 + 10.2214i 0.553745 + 0.377537i 0.807623 0.589699i \(-0.200754\pi\)
−0.253878 + 0.967236i \(0.581706\pi\)
\(734\) 8.19305 0.302411
\(735\) 21.6424 49.6021i 0.798293 1.82960i
\(736\) 18.5073 0.682189
\(737\) −17.0320 11.6122i −0.627380 0.427740i
\(738\) 13.2807 + 12.3227i 0.488868 + 0.453603i
\(739\) −17.7600 45.2517i −0.653312 1.66461i −0.743541 0.668690i \(-0.766855\pi\)
0.0902290 0.995921i \(-0.471240\pi\)
\(740\) 15.1400 4.67007i 0.556558 0.171675i
\(741\) −0.200643 0.879076i −0.00737082 0.0322937i
\(742\) 11.0551 + 16.8852i 0.405845 + 0.619874i
\(743\) −4.26371 + 18.6805i −0.156420 + 0.685323i 0.834515 + 0.550985i \(0.185748\pi\)
−0.990936 + 0.134338i \(0.957109\pi\)
\(744\) −3.90069 52.0511i −0.143006 1.90828i
\(745\) 24.7945 + 7.64810i 0.908402 + 0.280205i
\(746\) 1.16102 15.4928i 0.0425080 0.567230i
\(747\) 31.9487 81.4041i 1.16894 2.97842i
\(748\) −12.2501 + 5.89935i −0.447909 + 0.215702i
\(749\) 32.3216 + 26.7801i 1.18100 + 0.978522i
\(750\) 16.8103 + 8.09541i 0.613825 + 0.295602i
\(751\) 21.1158 19.5926i 0.770528 0.714946i −0.193396 0.981121i \(-0.561950\pi\)
0.963925 + 0.266175i \(0.0857599\pi\)
\(752\) 0.939097 0.141546i 0.0342454 0.00516166i
\(753\) 34.7015 60.1047i 1.26459 2.19034i
\(754\) 1.35525 + 2.34736i 0.0493553 + 0.0854859i
\(755\) 6.01984 + 7.54864i 0.219084 + 0.274723i
\(756\) −28.8776 + 15.9597i −1.05027 + 0.580448i
\(757\) 5.51287 6.91292i 0.200369 0.251254i −0.671488 0.741015i \(-0.734345\pi\)
0.871857 + 0.489761i \(0.162916\pi\)
\(758\) −3.74695 0.564762i −0.136095 0.0205131i
\(759\) 12.1438 8.27947i 0.440791 0.300526i
\(760\) −1.65541 + 1.12864i −0.0600481 + 0.0409401i
\(761\) −6.07060 0.914996i −0.220059 0.0331686i 0.0380872 0.999274i \(-0.487874\pi\)
−0.258146 + 0.966106i \(0.583112\pi\)
\(762\) −23.7870 + 29.8280i −0.861714 + 1.08055i
\(763\) 22.7821 + 25.4937i 0.824766 + 0.922934i
\(764\) 5.92618 + 7.43120i 0.214402 + 0.268851i
\(765\) 45.6449 + 79.0592i 1.65029 + 2.85839i
\(766\) −2.10525 + 3.64639i −0.0760656 + 0.131750i
\(767\) −3.10407 + 0.467863i −0.112081 + 0.0168935i
\(768\) 26.1484 24.2621i 0.943548 0.875485i
\(769\) −26.5590 12.7901i −0.957741 0.461224i −0.111347 0.993782i \(-0.535517\pi\)
−0.846394 + 0.532558i \(0.821231\pi\)
\(770\) 3.30199 + 7.19815i 0.118996 + 0.259403i
\(771\) 53.9520 25.9819i 1.94303 0.935716i
\(772\) −1.83705 + 4.68073i −0.0661169 + 0.168463i
\(773\) 2.51187 33.5185i 0.0903456 1.20558i