Properties

Label 637.2.bl.b.235.8
Level $637$
Weight $2$
Character 637.235
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 235.8
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.b.534.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.79534 - 0.270604i) q^{2} +(-0.0106159 + 0.00723782i) q^{3} +(1.23888 + 0.382145i) q^{4} +(0.0531607 + 0.709380i) q^{5} +(0.0210178 - 0.0101216i) q^{6} +(-2.62131 - 0.358800i) q^{7} +(1.15083 + 0.554210i) q^{8} +(-1.09596 + 2.79247i) q^{9} +O(q^{10})\) \(q+(-1.79534 - 0.270604i) q^{2} +(-0.0106159 + 0.00723782i) q^{3} +(1.23888 + 0.382145i) q^{4} +(0.0531607 + 0.709380i) q^{5} +(0.0210178 - 0.0101216i) q^{6} +(-2.62131 - 0.358800i) q^{7} +(1.15083 + 0.554210i) q^{8} +(-1.09596 + 2.79247i) q^{9} +(0.0965197 - 1.28797i) q^{10} +(-1.14057 - 2.90613i) q^{11} +(-0.0159178 + 0.00490998i) q^{12} +(0.623490 - 0.781831i) q^{13} +(4.60905 + 1.35351i) q^{14} +(-0.00569871 - 0.00714596i) q^{15} +(-4.05857 - 2.76708i) q^{16} +(-0.265590 - 0.246431i) q^{17} +(2.72328 - 4.71686i) q^{18} +(1.13402 + 1.96417i) q^{19} +(-0.205226 + 0.899153i) q^{20} +(0.0304246 - 0.0151636i) q^{21} +(1.26131 + 5.52614i) q^{22} +(1.43798 - 1.33425i) q^{23} +(-0.0162284 + 0.00244604i) q^{24} +(4.44376 - 0.669789i) q^{25} +(-1.33094 + 1.23494i) q^{26} +(-0.0171539 - 0.0751561i) q^{27} +(-3.11038 - 1.44623i) q^{28} +(0.770039 - 3.37376i) q^{29} +(0.00829741 + 0.0143715i) q^{30} +(2.15961 - 3.74056i) q^{31} +(4.66504 + 4.32853i) q^{32} +(0.0331423 + 0.0225960i) q^{33} +(0.410139 + 0.514298i) q^{34} +(0.115175 - 1.87858i) q^{35} +(-2.42489 + 3.04072i) q^{36} +(-4.41717 + 1.36252i) q^{37} +(-1.50443 - 3.83323i) q^{38} +(-0.000960169 + 0.0128126i) q^{39} +(-0.331967 + 0.845837i) q^{40} +(-6.69285 - 3.22311i) q^{41} +(-0.0587258 + 0.0189908i) q^{42} +(6.11744 - 2.94600i) q^{43} +(-0.302473 - 4.03622i) q^{44} +(-2.03918 - 0.629004i) q^{45} +(-2.94272 + 2.00631i) q^{46} +(4.36897 + 0.658517i) q^{47} +0.0631131 q^{48} +(6.74252 + 1.88105i) q^{49} -8.15932 q^{50} +(0.00460310 + 0.000693806i) q^{51} +(1.07120 - 0.730334i) q^{52} +(-1.43383 - 0.442278i) q^{53} +(0.0104595 + 0.139573i) q^{54} +(2.00092 - 0.963591i) q^{55} +(-2.81783 - 1.86567i) q^{56} +(-0.0262550 - 0.0126437i) q^{57} +(-2.29544 + 5.84868i) q^{58} +(1.07582 - 14.3558i) q^{59} +(-0.00432924 - 0.0110307i) q^{60} +(9.39560 - 2.89816i) q^{61} +(-4.88946 + 6.13119i) q^{62} +(3.87480 - 6.92669i) q^{63} +(-1.07874 - 1.35270i) q^{64} +(0.587761 + 0.400728i) q^{65} +(-0.0533871 - 0.0495360i) q^{66} +(5.13903 - 8.90106i) q^{67} +(-0.234862 - 0.406793i) q^{68} +(-0.00560842 + 0.0245721i) q^{69} +(-0.715130 + 3.34152i) q^{70} +(-2.51776 - 11.0310i) q^{71} +(-2.80888 + 2.60626i) q^{72} +(3.16729 - 0.477393i) q^{73} +(8.29903 - 1.25088i) q^{74} +(-0.0423268 + 0.0392735i) q^{75} +(0.654314 + 2.86674i) q^{76} +(1.94707 + 8.02710i) q^{77} +(0.00519097 - 0.0227431i) q^{78} +(-2.61995 - 4.53789i) q^{79} +(1.74716 - 3.02617i) q^{80} +(-6.59638 - 6.12054i) q^{81} +(11.1438 + 7.59769i) q^{82} +(-10.3738 - 13.0084i) q^{83} +(0.0434871 - 0.00715928i) q^{84} +(0.160694 - 0.201504i) q^{85} +(-11.7801 + 3.63368i) q^{86} +(0.0162440 + 0.0413890i) q^{87} +(0.298003 - 3.97658i) q^{88} +(-0.759924 + 1.93625i) q^{89} +(3.49082 + 1.68109i) q^{90} +(-1.91488 + 1.82571i) q^{91} +(2.29136 - 1.10346i) q^{92} +(0.00414719 + 0.0553404i) q^{93} +(-7.66560 - 2.36453i) q^{94} +(-1.33306 + 0.908865i) q^{95} +(-0.0808528 - 0.0121866i) q^{96} +4.00692 q^{97} +(-11.5961 - 5.20169i) q^{98} +9.36530 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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.79534 0.270604i −1.26950 0.191346i −0.520468 0.853881i \(-0.674242\pi\)
−0.749031 + 0.662535i \(0.769481\pi\)
\(3\) −0.0106159 + 0.00723782i −0.00612911 + 0.00417875i −0.566381 0.824144i \(-0.691657\pi\)
0.560252 + 0.828322i \(0.310704\pi\)
\(4\) 1.23888 + 0.382145i 0.619441 + 0.191072i
\(5\) 0.0531607 + 0.709380i 0.0237742 + 0.317244i 0.996394 + 0.0848435i \(0.0270390\pi\)
−0.972620 + 0.232401i \(0.925342\pi\)
\(6\) 0.0210178 0.0101216i 0.00858048 0.00413214i
\(7\) −2.62131 0.358800i −0.990762 0.135614i
\(8\) 1.15083 + 0.554210i 0.406880 + 0.195943i
\(9\) −1.09596 + 2.79247i −0.365321 + 0.930823i
\(10\) 0.0965197 1.28797i 0.0305222 0.407290i
\(11\) −1.14057 2.90613i −0.343895 0.876231i −0.993276 0.115768i \(-0.963067\pi\)
0.649381 0.760463i \(-0.275028\pi\)
\(12\) −0.0159178 + 0.00490998i −0.00459506 + 0.00141739i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) 4.60905 + 1.35351i 1.23182 + 0.361740i
\(15\) −0.00569871 0.00714596i −0.00147140 0.00184508i
\(16\) −4.05857 2.76708i −1.01464 0.691771i
\(17\) −0.265590 0.246431i −0.0644150 0.0597683i 0.647308 0.762228i \(-0.275895\pi\)
−0.711723 + 0.702460i \(0.752085\pi\)
\(18\) 2.72328 4.71686i 0.641884 1.11178i
\(19\) 1.13402 + 1.96417i 0.260161 + 0.450612i 0.966285 0.257476i \(-0.0828910\pi\)
−0.706123 + 0.708089i \(0.749558\pi\)
\(20\) −0.205226 + 0.899153i −0.0458899 + 0.201057i
\(21\) 0.0304246 0.0151636i 0.00663918 0.00330896i
\(22\) 1.26131 + 5.52614i 0.268911 + 1.17818i
\(23\) 1.43798 1.33425i 0.299839 0.278210i −0.515877 0.856663i \(-0.672534\pi\)
0.815716 + 0.578453i \(0.196343\pi\)
\(24\) −0.0162284 + 0.00244604i −0.00331261 + 0.000499295i
\(25\) 4.44376 0.669789i 0.888752 0.133958i
\(26\) −1.33094 + 1.23494i −0.261020 + 0.242191i
\(27\) −0.0171539 0.0751561i −0.00330127 0.0144638i
\(28\) −3.11038 1.44623i −0.587806 0.273312i
\(29\) 0.770039 3.37376i 0.142993 0.626492i −0.851738 0.523968i \(-0.824451\pi\)
0.994731 0.102524i \(-0.0326918\pi\)
\(30\) 0.00829741 + 0.0143715i 0.00151489 + 0.00262387i
\(31\) 2.15961 3.74056i 0.387878 0.671824i −0.604286 0.796768i \(-0.706542\pi\)
0.992164 + 0.124943i \(0.0398748\pi\)
\(32\) 4.66504 + 4.32853i 0.824671 + 0.765183i
\(33\) 0.0331423 + 0.0225960i 0.00576933 + 0.00393346i
\(34\) 0.410139 + 0.514298i 0.0703383 + 0.0882014i
\(35\) 0.115175 1.87858i 0.0194681 0.317538i
\(36\) −2.42489 + 3.04072i −0.404149 + 0.506787i
\(37\) −4.41717 + 1.36252i −0.726178 + 0.223996i −0.635737 0.771906i \(-0.719304\pi\)
−0.0904408 + 0.995902i \(0.528828\pi\)
\(38\) −1.50443 3.83323i −0.244051 0.621833i
\(39\) −0.000960169 0.0128126i −0.000153750 0.00205165i
\(40\) −0.331967 + 0.845837i −0.0524885 + 0.133739i
\(41\) −6.69285 3.22311i −1.04525 0.503365i −0.169196 0.985582i \(-0.554117\pi\)
−0.876051 + 0.482218i \(0.839831\pi\)
\(42\) −0.0587258 + 0.0189908i −0.00906159 + 0.00293034i
\(43\) 6.11744 2.94600i 0.932901 0.449262i 0.0952416 0.995454i \(-0.469638\pi\)
0.837660 + 0.546193i \(0.183923\pi\)
\(44\) −0.302473 4.03622i −0.0455995 0.608482i
\(45\) −2.03918 0.629004i −0.303983 0.0937664i
\(46\) −2.94272 + 2.00631i −0.433880 + 0.295814i
\(47\) 4.36897 + 0.658517i 0.637280 + 0.0960545i 0.459732 0.888058i \(-0.347945\pi\)
0.177548 + 0.984112i \(0.443184\pi\)
\(48\) 0.0631131 0.00910959
\(49\) 6.74252 + 1.88105i 0.963218 + 0.268722i
\(50\) −8.15932 −1.15390
\(51\) 0.00460310 0.000693806i 0.000644563 9.71523e-5i
\(52\) 1.07120 0.730334i 0.148549 0.101279i
\(53\) −1.43383 0.442278i −0.196952 0.0607516i 0.194710 0.980861i \(-0.437623\pi\)
−0.391662 + 0.920109i \(0.628100\pi\)
\(54\) 0.0104595 + 0.139573i 0.00142336 + 0.0189935i
\(55\) 2.00092 0.963591i 0.269804 0.129931i
\(56\) −2.81783 1.86567i −0.376548 0.249311i
\(57\) −0.0262550 0.0126437i −0.00347755 0.00167470i
\(58\) −2.29544 + 5.84868i −0.301406 + 0.767970i
\(59\) 1.07582 14.3558i 0.140060 1.86897i −0.278041 0.960569i \(-0.589685\pi\)
0.418101 0.908401i \(-0.362696\pi\)
\(60\) −0.00432924 0.0110307i −0.000558903 0.00142406i
\(61\) 9.39560 2.89816i 1.20298 0.371071i 0.372456 0.928050i \(-0.378516\pi\)
0.830527 + 0.556979i \(0.188040\pi\)
\(62\) −4.88946 + 6.13119i −0.620962 + 0.778661i
\(63\) 3.87480 6.92669i 0.488178 0.872681i
\(64\) −1.07874 1.35270i −0.134843 0.169088i
\(65\) 0.587761 + 0.400728i 0.0729027 + 0.0497042i
\(66\) −0.0533871 0.0495360i −0.00657150 0.00609746i
\(67\) 5.13903 8.90106i 0.627832 1.08744i −0.360154 0.932893i \(-0.617276\pi\)
0.987986 0.154544i \(-0.0493909\pi\)
\(68\) −0.234862 0.406793i −0.0284812 0.0493309i
\(69\) −0.00560842 + 0.0245721i −0.000675175 + 0.00295813i
\(70\) −0.715130 + 3.34152i −0.0854744 + 0.399389i
\(71\) −2.51776 11.0310i −0.298803 1.30914i −0.871912 0.489663i \(-0.837120\pi\)
0.573108 0.819480i \(-0.305737\pi\)
\(72\) −2.80888 + 2.60626i −0.331030 + 0.307151i
\(73\) 3.16729 0.477393i 0.370704 0.0558746i 0.0389514 0.999241i \(-0.487598\pi\)
0.331752 + 0.943367i \(0.392360\pi\)
\(74\) 8.29903 1.25088i 0.964743 0.145412i
\(75\) −0.0423268 + 0.0392735i −0.00488748 + 0.00453492i
\(76\) 0.654314 + 2.86674i 0.0750550 + 0.328837i
\(77\) 1.94707 + 8.02710i 0.221889 + 0.914773i
\(78\) 0.00519097 0.0227431i 0.000587762 0.00257515i
\(79\) −2.61995 4.53789i −0.294767 0.510552i 0.680163 0.733061i \(-0.261909\pi\)
−0.974931 + 0.222509i \(0.928575\pi\)
\(80\) 1.74716 3.02617i 0.195338 0.338336i
\(81\) −6.59638 6.12054i −0.732931 0.680060i
\(82\) 11.1438 + 7.59769i 1.23062 + 0.839025i
\(83\) −10.3738 13.0084i −1.13868 1.42786i −0.888034 0.459777i \(-0.847929\pi\)
−0.250644 0.968079i \(-0.580642\pi\)
\(84\) 0.0434871 0.00715928i 0.00474483 0.000781142i
\(85\) 0.160694 0.201504i 0.0174298 0.0218562i
\(86\) −11.7801 + 3.63368i −1.27028 + 0.391830i
\(87\) 0.0162440 + 0.0413890i 0.00174154 + 0.00443737i
\(88\) 0.298003 3.97658i 0.0317672 0.423904i
\(89\) −0.759924 + 1.93625i −0.0805517 + 0.205242i −0.965476 0.260493i \(-0.916115\pi\)
0.884924 + 0.465735i \(0.154210\pi\)
\(90\) 3.49082 + 1.68109i 0.367965 + 0.177202i
\(91\) −1.91488 + 1.82571i −0.200734 + 0.191387i
\(92\) 2.29136 1.10346i 0.238891 0.115044i
\(93\) 0.00414719 + 0.0553404i 0.000430043 + 0.00573853i
\(94\) −7.66560 2.36453i −0.790647 0.243882i
\(95\) −1.33306 + 0.908865i −0.136769 + 0.0932476i
\(96\) −0.0808528 0.0121866i −0.00825201 0.00124379i
\(97\) 4.00692 0.406841 0.203421 0.979091i \(-0.434794\pi\)
0.203421 + 0.979091i \(0.434794\pi\)
\(98\) −11.5961 5.20169i −1.17139 0.525450i
\(99\) 9.36530 0.941248
\(100\) 5.76125 + 0.868369i 0.576125 + 0.0868369i
\(101\) 0.603608 0.411533i 0.0600613 0.0409491i −0.532917 0.846167i \(-0.678904\pi\)
0.592978 + 0.805218i \(0.297952\pi\)
\(102\) −0.00807640 0.00249124i −0.000799683 0.000246669i
\(103\) 0.989212 + 13.2001i 0.0974699 + 1.30065i 0.804708 + 0.593671i \(0.202322\pi\)
−0.707238 + 0.706975i \(0.750059\pi\)
\(104\) 1.15083 0.554210i 0.112848 0.0543448i
\(105\) 0.0123741 + 0.0207765i 0.00120759 + 0.00202757i
\(106\) 2.45454 + 1.18204i 0.238406 + 0.114810i
\(107\) −2.34028 + 5.96293i −0.226243 + 0.576459i −0.998249 0.0591575i \(-0.981159\pi\)
0.772005 + 0.635616i \(0.219254\pi\)
\(108\) 0.00746884 0.0996648i 0.000718690 0.00959025i
\(109\) −1.07531 2.73984i −0.102996 0.262429i 0.870082 0.492908i \(-0.164066\pi\)
−0.973077 + 0.230479i \(0.925971\pi\)
\(110\) −3.85308 + 1.18852i −0.367377 + 0.113321i
\(111\) 0.0370307 0.0464350i 0.00351480 0.00440742i
\(112\) 9.64593 + 8.70960i 0.911455 + 0.822980i
\(113\) 3.61702 + 4.53560i 0.340260 + 0.426673i 0.922292 0.386493i \(-0.126314\pi\)
−0.582032 + 0.813166i \(0.697742\pi\)
\(114\) 0.0437152 + 0.0298045i 0.00409430 + 0.00279145i
\(115\) 1.02293 + 0.949143i 0.0953890 + 0.0885080i
\(116\) 2.24325 3.88543i 0.208281 0.360753i
\(117\) 1.49992 + 2.59793i 0.138667 + 0.240179i
\(118\) −5.81622 + 25.4825i −0.535426 + 2.34585i
\(119\) 0.607773 + 0.741266i 0.0557145 + 0.0679517i
\(120\) −0.00259788 0.0113821i −0.000237153 0.00103903i
\(121\) 0.918882 0.852598i 0.0835347 0.0775089i
\(122\) −17.6526 + 2.66070i −1.59819 + 0.240888i
\(123\) 0.0943790 0.0142254i 0.00850987 0.00128266i
\(124\) 4.10494 3.80883i 0.368635 0.342043i
\(125\) 1.50284 + 6.58438i 0.134418 + 0.588924i
\(126\) −8.83098 + 11.3872i −0.786726 + 1.01446i
\(127\) −1.53469 + 6.72391i −0.136182 + 0.596650i 0.860072 + 0.510172i \(0.170418\pi\)
−0.996254 + 0.0864780i \(0.972439\pi\)
\(128\) −4.79320 8.30206i −0.423663 0.733805i
\(129\) −0.0436197 + 0.0755515i −0.00384050 + 0.00665194i
\(130\) −0.946793 0.878495i −0.0830392 0.0770491i
\(131\) 6.16845 + 4.20558i 0.538940 + 0.367443i 0.801988 0.597340i \(-0.203776\pi\)
−0.263049 + 0.964783i \(0.584728\pi\)
\(132\) 0.0324244 + 0.0406589i 0.00282218 + 0.00353891i
\(133\) −2.26786 5.55559i −0.196648 0.481731i
\(134\) −11.6350 + 14.5898i −1.00511 + 1.26037i
\(135\) 0.0524023 0.0161640i 0.00451007 0.00139117i
\(136\) −0.169074 0.430793i −0.0144979 0.0369402i
\(137\) 0.166648 2.22376i 0.0142377 0.189989i −0.985550 0.169385i \(-0.945822\pi\)
0.999788 0.0206042i \(-0.00655899\pi\)
\(138\) 0.0167184 0.0425977i 0.00142316 0.00362615i
\(139\) −3.56667 1.71762i −0.302521 0.145686i 0.276465 0.961024i \(-0.410837\pi\)
−0.578986 + 0.815338i \(0.696551\pi\)
\(140\) 0.860577 2.28332i 0.0727320 0.192976i
\(141\) −0.0511469 + 0.0246310i −0.00430735 + 0.00207431i
\(142\) 1.53520 + 20.4858i 0.128831 + 1.71913i
\(143\) −2.98324 0.920207i −0.249471 0.0769516i
\(144\) 12.1750 8.30079i 1.01459 0.691733i
\(145\) 2.43421 + 0.366899i 0.202151 + 0.0304693i
\(146\) −5.81556 −0.481299
\(147\) −0.0851929 + 0.0288320i −0.00702659 + 0.00237803i
\(148\) −5.99303 −0.492624
\(149\) −19.0031 2.86425i −1.55679 0.234649i −0.686481 0.727148i \(-0.740845\pi\)
−0.870313 + 0.492499i \(0.836083\pi\)
\(150\) 0.0866187 0.0590556i 0.00707239 0.00482187i
\(151\) 18.8660 + 5.81938i 1.53529 + 0.473574i 0.943180 0.332283i \(-0.107819\pi\)
0.592110 + 0.805857i \(0.298295\pi\)
\(152\) 0.216494 + 2.88891i 0.0175600 + 0.234322i
\(153\) 0.979227 0.471571i 0.0791658 0.0381243i
\(154\) −1.32349 14.9383i −0.106650 1.20376i
\(155\) 2.76828 + 1.33314i 0.222354 + 0.107080i
\(156\) −0.00608579 + 0.0155063i −0.000487253 + 0.00124150i
\(157\) −1.06759 + 14.2460i −0.0852029 + 1.13695i 0.776697 + 0.629875i \(0.216894\pi\)
−0.861900 + 0.507079i \(0.830725\pi\)
\(158\) 3.47573 + 8.85603i 0.276515 + 0.704548i
\(159\) 0.0184226 0.00568261i 0.00146101 0.000450660i
\(160\) −2.82257 + 3.53939i −0.223144 + 0.279814i
\(161\) −4.24811 + 2.98153i −0.334798 + 0.234978i
\(162\) 10.1865 + 12.7735i 0.800328 + 1.00358i
\(163\) 13.6404 + 9.29987i 1.06840 + 0.728422i 0.963943 0.266107i \(-0.0857376\pi\)
0.104456 + 0.994530i \(0.466690\pi\)
\(164\) −7.05996 6.55068i −0.551290 0.511523i
\(165\) −0.0142673 + 0.0247117i −0.00111071 + 0.00192380i
\(166\) 15.1045 + 26.1617i 1.17234 + 2.03054i
\(167\) −3.20961 + 14.0622i −0.248367 + 1.08817i 0.684801 + 0.728730i \(0.259889\pi\)
−0.933169 + 0.359439i \(0.882968\pi\)
\(168\) 0.0434173 0.000589069i 0.00334971 4.54476e-5i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −0.343029 + 0.318285i −0.0263092 + 0.0244113i
\(171\) −6.72773 + 1.01404i −0.514482 + 0.0775457i
\(172\) 8.70459 1.31201i 0.663719 0.100039i
\(173\) −1.99910 + 1.85489i −0.151988 + 0.141025i −0.752502 0.658590i \(-0.771153\pi\)
0.600514 + 0.799614i \(0.294963\pi\)
\(174\) −0.0179635 0.0787031i −0.00136181 0.00596647i
\(175\) −11.8888 + 0.161303i −0.898708 + 0.0121933i
\(176\) −3.41242 + 14.9508i −0.257221 + 1.12696i
\(177\) 0.0924840 + 0.160187i 0.00695152 + 0.0120404i
\(178\) 1.88828 3.27060i 0.141533 0.245142i
\(179\) 0.721017 + 0.669006i 0.0538914 + 0.0500039i 0.706659 0.707555i \(-0.250202\pi\)
−0.652767 + 0.757558i \(0.726392\pi\)
\(180\) −2.28594 1.55852i −0.170384 0.116166i
\(181\) 8.54470 + 10.7147i 0.635122 + 0.796418i 0.990384 0.138349i \(-0.0441795\pi\)
−0.355261 + 0.934767i \(0.615608\pi\)
\(182\) 3.93191 2.75961i 0.291453 0.204556i
\(183\) −0.0787666 + 0.0987702i −0.00582260 + 0.00730131i
\(184\) 2.39432 0.738550i 0.176512 0.0544466i
\(185\) −1.20136 3.06102i −0.0883258 0.225050i
\(186\) 0.00752973 0.100477i 0.000552106 0.00736735i
\(187\) −0.413237 + 1.05291i −0.0302189 + 0.0769965i
\(188\) 5.16099 + 2.48540i 0.376404 + 0.181267i
\(189\) 0.0179996 + 0.203162i 0.00130928 + 0.0147779i
\(190\) 2.63924 1.27099i 0.191471 0.0922074i
\(191\) −0.858718 11.4588i −0.0621347 0.829129i −0.938014 0.346599i \(-0.887337\pi\)
0.875879 0.482531i \(-0.160282\pi\)
\(192\) 0.0212425 + 0.00655243i 0.00153304 + 0.000472881i
\(193\) −11.8074 + 8.05015i −0.849915 + 0.579462i −0.908057 0.418846i \(-0.862435\pi\)
0.0581421 + 0.998308i \(0.481482\pi\)
\(194\) −7.19380 1.08429i −0.516485 0.0778475i
\(195\) −0.00914002 −0.000654531
\(196\) 7.63436 + 4.90702i 0.545311 + 0.350501i
\(197\) −11.7957 −0.840411 −0.420205 0.907429i \(-0.638042\pi\)
−0.420205 + 0.907429i \(0.638042\pi\)
\(198\) −16.8139 2.53429i −1.19491 0.180104i
\(199\) 12.0277 8.20033i 0.852619 0.581306i −0.0562360 0.998418i \(-0.517910\pi\)
0.908855 + 0.417111i \(0.136958\pi\)
\(200\) 5.48521 + 1.69196i 0.387863 + 0.119640i
\(201\) 0.00986867 + 0.131688i 0.000696082 + 0.00928857i
\(202\) −1.19505 + 0.575504i −0.0840832 + 0.0404923i
\(203\) −3.22902 + 8.56738i −0.226633 + 0.601312i
\(204\) 0.00543757 + 0.00261859i 0.000380706 + 0.000183338i
\(205\) 1.93061 4.91911i 0.134840 0.343566i
\(206\) 1.79603 23.9664i 0.125136 1.66982i
\(207\) 2.14988 + 5.47779i 0.149427 + 0.380733i
\(208\) −4.69387 + 1.44787i −0.325461 + 0.100391i
\(209\) 4.41472 5.53588i 0.305372 0.382925i
\(210\) −0.0165936 0.0406493i −0.00114506 0.00280507i
\(211\) −12.6713 15.8893i −0.872329 1.09387i −0.994846 0.101400i \(-0.967668\pi\)
0.122516 0.992466i \(-0.460904\pi\)
\(212\) −1.60733 1.09586i −0.110392 0.0752641i
\(213\) 0.106569 + 0.0988815i 0.00730198 + 0.00677525i
\(214\) 5.81520 10.0722i 0.397519 0.688523i
\(215\) 2.41504 + 4.18298i 0.164705 + 0.285277i
\(216\) 0.0219111 0.0959987i 0.00149086 0.00653188i
\(217\) −7.00313 + 9.03030i −0.475403 + 0.613016i
\(218\) 1.18913 + 5.20994i 0.0805383 + 0.352861i
\(219\) −0.0301685 + 0.0279923i −0.00203860 + 0.00189154i
\(220\) 2.84713 0.429136i 0.191954 0.0289323i
\(221\) −0.358260 + 0.0539990i −0.0240992 + 0.00363237i
\(222\) −0.0790483 + 0.0733461i −0.00530537 + 0.00492267i
\(223\) −1.06303 4.65743i −0.0711856 0.311885i 0.926783 0.375598i \(-0.122563\pi\)
−0.997968 + 0.0637136i \(0.979706\pi\)
\(224\) −10.6754 13.0202i −0.713283 0.869950i
\(225\) −2.99983 + 13.1431i −0.199989 + 0.876208i
\(226\) −5.26643 9.12173i −0.350318 0.606768i
\(227\) 8.49907 14.7208i 0.564103 0.977055i −0.433030 0.901380i \(-0.642555\pi\)
0.997133 0.0756751i \(-0.0241112\pi\)
\(228\) −0.0276951 0.0256973i −0.00183415 0.00170184i
\(229\) −21.6201 14.7403i −1.42870 0.974069i −0.997415 0.0718521i \(-0.977109\pi\)
−0.431282 0.902217i \(-0.641939\pi\)
\(230\) −1.57967 1.98085i −0.104161 0.130613i
\(231\) −0.0787687 0.0711226i −0.00518260 0.00467952i
\(232\) 2.75596 3.45586i 0.180937 0.226888i
\(233\) 1.18972 0.366981i 0.0779415 0.0240418i −0.255539 0.966799i \(-0.582253\pi\)
0.333481 + 0.942757i \(0.391777\pi\)
\(234\) −1.98985 5.07006i −0.130081 0.331440i
\(235\) −0.234881 + 3.13427i −0.0153219 + 0.204457i
\(236\) 6.81882 17.3741i 0.443867 1.13095i
\(237\) 0.0606576 + 0.0292111i 0.00394013 + 0.00189747i
\(238\) −0.890571 1.49529i −0.0577271 0.0969254i
\(239\) −16.7382 + 8.06069i −1.08270 + 0.521403i −0.888180 0.459495i \(-0.848030\pi\)
−0.194523 + 0.980898i \(0.562316\pi\)
\(240\) 0.00335513 + 0.0447711i 0.000216573 + 0.00288997i
\(241\) −2.40855 0.742940i −0.155148 0.0478569i 0.216208 0.976347i \(-0.430631\pi\)
−0.371357 + 0.928490i \(0.621107\pi\)
\(242\) −1.88042 + 1.28205i −0.120878 + 0.0824134i
\(243\) 0.343010 + 0.0517004i 0.0220041 + 0.00331658i
\(244\) 12.7476 0.816078
\(245\) −0.975943 + 4.88301i −0.0623507 + 0.311964i
\(246\) −0.173292 −0.0110487
\(247\) 2.24270 + 0.338033i 0.142700 + 0.0215085i
\(248\) 4.55840 3.10787i 0.289459 0.197350i
\(249\) 0.204280 + 0.0630121i 0.0129457 + 0.00399323i
\(250\) −0.916353 12.2279i −0.0579553 0.773359i
\(251\) 5.38798 2.59471i 0.340086 0.163777i −0.256043 0.966665i \(-0.582419\pi\)
0.596129 + 0.802889i \(0.296705\pi\)
\(252\) 7.44741 7.10062i 0.469143 0.447297i
\(253\) −5.51762 2.65714i −0.346890 0.167053i
\(254\) 4.57481 11.6564i 0.287049 0.731389i
\(255\) −0.000247468 0.00330223i −1.54971e−5 0.000206794i
\(256\) 7.62306 + 19.4232i 0.476441 + 1.21395i
\(257\) 6.34765 1.95799i 0.395955 0.122136i −0.0903819 0.995907i \(-0.528809\pi\)
0.486337 + 0.873771i \(0.338333\pi\)
\(258\) 0.0987568 0.123837i 0.00614833 0.00770976i
\(259\) 12.0676 1.98669i 0.749846 0.123447i
\(260\) 0.575030 + 0.721065i 0.0356618 + 0.0447185i
\(261\) 8.57719 + 5.84783i 0.530915 + 0.361971i
\(262\) −9.93643 9.21966i −0.613875 0.569592i
\(263\) 11.0414 19.1243i 0.680845 1.17926i −0.293879 0.955843i \(-0.594946\pi\)
0.974723 0.223415i \(-0.0717205\pi\)
\(264\) 0.0256181 + 0.0443719i 0.00157669 + 0.00273090i
\(265\) 0.237520 1.04064i 0.0145907 0.0639262i
\(266\) 2.56822 + 10.5879i 0.157468 + 0.649185i
\(267\) −0.00594695 0.0260553i −0.000363948 0.00159456i
\(268\) 9.76814 9.06351i 0.596684 0.553642i
\(269\) −5.27420 + 0.794958i −0.321574 + 0.0484695i −0.307846 0.951436i \(-0.599608\pi\)
−0.0137282 + 0.999906i \(0.504370\pi\)
\(270\) −0.0984541 + 0.0148396i −0.00599173 + 0.000903107i
\(271\) 12.2737 11.3883i 0.745574 0.691792i −0.212867 0.977081i \(-0.568280\pi\)
0.958441 + 0.285289i \(0.0920897\pi\)
\(272\) 0.396018 + 1.73507i 0.0240121 + 0.105204i
\(273\) 0.00711405 0.0332412i 0.000430562 0.00201185i
\(274\) −0.900950 + 3.94732i −0.0544284 + 0.238466i
\(275\) −7.01492 12.1502i −0.423016 0.732685i
\(276\) −0.0163383 + 0.0282987i −0.000983448 + 0.00170338i
\(277\) −18.7453 17.3931i −1.12630 1.04505i −0.998582 0.0532418i \(-0.983045\pi\)
−0.127717 0.991811i \(-0.540765\pi\)
\(278\) 5.93859 + 4.04886i 0.356173 + 0.242835i
\(279\) 8.07854 + 10.1302i 0.483649 + 0.606477i
\(280\) 1.17367 2.09809i 0.0701404 0.125385i
\(281\) 8.54294 10.7125i 0.509629 0.639055i −0.458742 0.888570i \(-0.651700\pi\)
0.968371 + 0.249515i \(0.0802712\pi\)
\(282\) 0.0984915 0.0303806i 0.00586508 0.00180914i
\(283\) 9.20659 + 23.4580i 0.547275 + 1.39443i 0.890415 + 0.455150i \(0.150414\pi\)
−0.343140 + 0.939284i \(0.611491\pi\)
\(284\) 1.09624 14.6283i 0.0650498 0.868030i
\(285\) 0.00757347 0.0192969i 0.000448614 0.00114305i
\(286\) 5.10692 + 2.45936i 0.301979 + 0.145425i
\(287\) 16.3876 + 10.8502i 0.967328 + 0.640464i
\(288\) −17.2000 + 8.28308i −1.01352 + 0.488085i
\(289\) −1.26060 16.8216i −0.0741531 0.989504i
\(290\) −4.27096 1.31742i −0.250800 0.0773614i
\(291\) −0.0425372 + 0.0290014i −0.00249357 + 0.00170009i
\(292\) 4.10634 + 0.618931i 0.240305 + 0.0362202i
\(293\) 27.8290 1.62579 0.812894 0.582412i \(-0.197891\pi\)
0.812894 + 0.582412i \(0.197891\pi\)
\(294\) 0.160752 0.0287098i 0.00937527 0.00167439i
\(295\) 10.2409 0.596250
\(296\) −5.83853 0.880016i −0.339357 0.0511499i
\(297\) −0.198848 + 0.135572i −0.0115383 + 0.00786671i
\(298\) 33.3420 + 10.2846i 1.93145 + 0.595773i
\(299\) −0.146593 1.95615i −0.00847769 0.113127i
\(300\) −0.0674461 + 0.0324803i −0.00389400 + 0.00187525i
\(301\) −17.0927 + 5.52745i −0.985209 + 0.318597i
\(302\) −32.2961 15.5530i −1.85843 0.894974i
\(303\) −0.00342926 + 0.00873761i −0.000197006 + 0.000501963i
\(304\) 0.832553 11.1096i 0.0477502 0.637182i
\(305\) 2.55537 + 6.51098i 0.146320 + 0.372818i
\(306\) −1.88566 + 0.581648i −0.107796 + 0.0332506i
\(307\) −12.4817 + 15.6516i −0.712371 + 0.893285i −0.997879 0.0650913i \(-0.979266\pi\)
0.285508 + 0.958376i \(0.407838\pi\)
\(308\) −0.655321 + 10.6887i −0.0373404 + 0.609045i
\(309\) −0.106041 0.132972i −0.00603248 0.00756450i
\(310\) −4.60927 3.14254i −0.261789 0.178485i
\(311\) 11.9980 + 11.1325i 0.680345 + 0.631267i 0.942676 0.333710i \(-0.108301\pi\)
−0.262331 + 0.964978i \(0.584491\pi\)
\(312\) −0.00820585 + 0.0142129i −0.000464565 + 0.000804649i
\(313\) 5.80745 + 10.0588i 0.328256 + 0.568557i 0.982166 0.188016i \(-0.0602057\pi\)
−0.653910 + 0.756573i \(0.726872\pi\)
\(314\) 5.77171 25.2875i 0.325717 1.42706i
\(315\) 5.11964 + 2.38047i 0.288459 + 0.134125i
\(316\) −1.51168 6.62310i −0.0850387 0.372579i
\(317\) −2.97588 + 2.76121i −0.167142 + 0.155085i −0.759309 0.650730i \(-0.774463\pi\)
0.592167 + 0.805815i \(0.298273\pi\)
\(318\) −0.0346126 + 0.00521701i −0.00194098 + 0.000292555i
\(319\) −10.6829 + 1.61018i −0.598126 + 0.0901530i
\(320\) 0.902232 0.837149i 0.0504363 0.0467981i
\(321\) −0.0183144 0.0802406i −0.00102221 0.00447859i
\(322\) 8.43363 4.20331i 0.469988 0.234241i
\(323\) 0.182851 0.801121i 0.0101741 0.0445756i
\(324\) −5.83320 10.1034i −0.324067 0.561300i
\(325\) 2.24698 3.89188i 0.124640 0.215883i
\(326\) −21.9726 20.3876i −1.21695 1.12917i
\(327\) 0.0312459 + 0.0213031i 0.00172790 + 0.00117806i
\(328\) −5.91605 7.41849i −0.326659 0.409618i
\(329\) −11.2162 3.29376i −0.618366 0.181591i
\(330\) 0.0323018 0.0405051i 0.00177815 0.00222973i
\(331\) 1.33592 0.412077i 0.0734289 0.0226498i −0.257823 0.966192i \(-0.583005\pi\)
0.331252 + 0.943542i \(0.392529\pi\)
\(332\) −7.88089 20.0802i −0.432520 1.10204i
\(333\) 1.03627 13.8281i 0.0567873 0.757773i
\(334\) 9.56766 24.3780i 0.523519 1.33390i
\(335\) 6.58742 + 3.17234i 0.359909 + 0.173323i
\(336\) −0.165439 0.0226450i −0.00902543 0.00123539i
\(337\) −7.05602 + 3.39800i −0.384366 + 0.185101i −0.616081 0.787683i \(-0.711281\pi\)
0.231715 + 0.972784i \(0.425566\pi\)
\(338\) 0.135682 + 1.81054i 0.00738010 + 0.0984806i
\(339\) −0.0712258 0.0219703i −0.00386845 0.00119326i
\(340\) 0.276085 0.188232i 0.0149728 0.0102083i
\(341\) −13.3338 2.00974i −0.722063 0.108833i
\(342\) 12.3530 0.667973
\(343\) −16.9993 7.35004i −0.917877 0.396865i
\(344\) 8.67284 0.467608
\(345\) −0.0177291 0.00267223i −0.000954503 0.000143868i
\(346\) 4.09100 2.78920i 0.219934 0.149948i
\(347\) −5.34836 1.64975i −0.287115 0.0885632i 0.147852 0.989009i \(-0.452764\pi\)
−0.434967 + 0.900446i \(0.643240\pi\)
\(348\) 0.00430780 + 0.0574836i 0.000230923 + 0.00308145i
\(349\) 11.0909 5.34109i 0.593681 0.285902i −0.112818 0.993616i \(-0.535988\pi\)
0.706499 + 0.707714i \(0.250273\pi\)
\(350\) 21.3881 + 2.92756i 1.14324 + 0.156485i
\(351\) −0.0694547 0.0334476i −0.00370722 0.00178530i
\(352\) 7.25845 18.4942i 0.386876 0.985745i
\(353\) −0.223186 + 2.97822i −0.0118790 + 0.158514i 0.988110 + 0.153751i \(0.0491353\pi\)
−0.999989 + 0.00476354i \(0.998484\pi\)
\(354\) −0.122693 0.312617i −0.00652107 0.0166154i
\(355\) 7.69135 2.37247i 0.408214 0.125917i
\(356\) −1.68138 + 2.10839i −0.0891132 + 0.111744i
\(357\) −0.0118172 0.00347027i −0.000625434 0.000183666i
\(358\) −1.11344 1.39621i −0.0588470 0.0737918i
\(359\) −16.5242 11.2660i −0.872116 0.594599i 0.0424215 0.999100i \(-0.486493\pi\)
−0.914537 + 0.404501i \(0.867445\pi\)
\(360\) −1.99815 1.85401i −0.105312 0.0977150i
\(361\) 6.92802 11.9997i 0.364632 0.631562i
\(362\) −12.4412 21.5488i −0.653895 1.13258i
\(363\) −0.00358384 + 0.0157018i −0.000188103 + 0.000824132i
\(364\) −3.07000 + 1.53008i −0.160912 + 0.0801981i
\(365\) 0.507028 + 2.22144i 0.0265391 + 0.116275i
\(366\) 0.168141 0.156012i 0.00878886 0.00815487i
\(367\) −18.7125 + 2.82045i −0.976783 + 0.147226i −0.617986 0.786189i \(-0.712051\pi\)
−0.358797 + 0.933416i \(0.616813\pi\)
\(368\) −9.52811 + 1.43613i −0.496687 + 0.0748635i
\(369\) 16.3355 15.1572i 0.850394 0.789050i
\(370\) 1.32853 + 5.82067i 0.0690670 + 0.302602i
\(371\) 3.59983 + 1.67381i 0.186894 + 0.0868997i
\(372\) −0.0160101 + 0.0701450i −0.000830088 + 0.00363685i
\(373\) −14.2206 24.6309i −0.736317 1.27534i −0.954143 0.299350i \(-0.903230\pi\)
0.217827 0.975987i \(-0.430103\pi\)
\(374\) 1.02682 1.77851i 0.0530958 0.0919646i
\(375\) −0.0636105 0.0590220i −0.00328483 0.00304788i
\(376\) 4.66298 + 3.17917i 0.240475 + 0.163953i
\(377\) −2.15760 2.70555i −0.111122 0.139343i
\(378\) 0.0226611 0.369616i 0.00116556 0.0190110i
\(379\) 6.43875 8.07394i 0.330737 0.414731i −0.588462 0.808525i \(-0.700266\pi\)
0.919199 + 0.393794i \(0.128838\pi\)
\(380\) −1.99882 + 0.616555i −0.102537 + 0.0316286i
\(381\) −0.0323743 0.0824883i −0.00165858 0.00422600i
\(382\) −1.55911 + 20.8048i −0.0797709 + 1.06447i
\(383\) 1.72557 4.39667i 0.0881723 0.224659i −0.879985 0.475001i \(-0.842448\pi\)
0.968158 + 0.250342i \(0.0805429\pi\)
\(384\) 0.110973 + 0.0534418i 0.00566307 + 0.00272719i
\(385\) −5.59076 + 1.80794i −0.284931 + 0.0921412i
\(386\) 23.3767 11.2576i 1.18984 0.572999i
\(387\) 1.52213 + 20.3115i 0.0773744 + 1.03249i
\(388\) 4.96411 + 1.53122i 0.252014 + 0.0777361i
\(389\) −11.9707 + 8.16152i −0.606941 + 0.413805i −0.827418 0.561587i \(-0.810191\pi\)
0.220477 + 0.975392i \(0.429239\pi\)
\(390\) 0.0164095 + 0.00247333i 0.000830926 + 0.000125242i
\(391\) −0.710712 −0.0359423
\(392\) 6.71700 + 5.90155i 0.339260 + 0.298073i
\(393\) −0.0959230 −0.00483867
\(394\) 21.1774 + 3.19197i 1.06690 + 0.160809i
\(395\) 3.07981 2.09978i 0.154962 0.105651i
\(396\) 11.6025 + 3.57890i 0.583048 + 0.179846i
\(397\) 2.04616 + 27.3041i 0.102694 + 1.37035i 0.775880 + 0.630880i \(0.217306\pi\)
−0.673186 + 0.739473i \(0.735075\pi\)
\(398\) −23.8128 + 11.4677i −1.19363 + 0.574822i
\(399\) 0.0642858 + 0.0425634i 0.00321831 + 0.00213083i
\(400\) −19.8887 9.57787i −0.994433 0.478894i
\(401\) −11.2463 + 28.6551i −0.561614 + 1.43097i 0.314682 + 0.949197i \(0.398102\pi\)
−0.876296 + 0.481772i \(0.839993\pi\)
\(402\) 0.0179178 0.239096i 0.000893657 0.0119250i
\(403\) −1.57799 4.02065i −0.0786053 0.200283i
\(404\) 0.905065 0.279175i 0.0450287 0.0138895i
\(405\) 3.99112 5.00471i 0.198320 0.248686i
\(406\) 8.11556 14.5076i 0.402769 0.720000i
\(407\) 8.99775 + 11.2828i 0.446002 + 0.559268i
\(408\) 0.00491287 + 0.00334954i 0.000243223 + 0.000165827i
\(409\) 15.5846 + 14.4604i 0.770608 + 0.715020i 0.963942 0.266113i \(-0.0857396\pi\)
−0.193334 + 0.981133i \(0.561930\pi\)
\(410\) −4.79724 + 8.30906i −0.236919 + 0.410355i
\(411\) 0.0143261 + 0.0248135i 0.000706653 + 0.00122396i
\(412\) −3.81883 + 16.7314i −0.188140 + 0.824297i
\(413\) −7.97093 + 37.2451i −0.392224 + 1.83271i
\(414\) −2.37745 10.4163i −0.116845 0.511932i
\(415\) 8.67641 8.05053i 0.425908 0.395185i
\(416\) 6.29278 0.948485i 0.308529 0.0465033i
\(417\) 0.0502952 0.00758079i 0.00246297 0.000371233i
\(418\) −9.42396 + 8.74416i −0.460941 + 0.427691i
\(419\) −6.94435 30.4252i −0.339254 1.48637i −0.800628 0.599162i \(-0.795501\pi\)
0.461374 0.887206i \(-0.347356\pi\)
\(420\) 0.00739045 + 0.0304683i 0.000360617 + 0.00148670i
\(421\) 1.77664 7.78395i 0.0865879 0.379366i −0.913003 0.407952i \(-0.866243\pi\)
0.999591 + 0.0285854i \(0.00910026\pi\)
\(422\) 18.4496 + 31.9557i 0.898114 + 1.55558i
\(423\) −6.62712 + 11.4785i −0.322221 + 0.558104i
\(424\) −1.40498 1.30363i −0.0682318 0.0633099i
\(425\) −1.34527 0.917192i −0.0652554 0.0444904i
\(426\) −0.164570 0.206364i −0.00797344 0.00999838i
\(427\) −25.6686 + 4.22583i −1.24219 + 0.204502i
\(428\) −5.17803 + 6.49305i −0.250290 + 0.313853i
\(429\) 0.0383301 0.0118233i 0.00185060 0.000570833i
\(430\) −3.20390 8.16340i −0.154506 0.393674i
\(431\) 0.429452 5.73064i 0.0206860 0.276035i −0.977263 0.212028i \(-0.931993\pi\)
0.997949 0.0640067i \(-0.0203879\pi\)
\(432\) −0.138343 + 0.352492i −0.00665603 + 0.0169593i
\(433\) 13.2344 + 6.37337i 0.636007 + 0.306285i 0.723962 0.689840i \(-0.242319\pi\)
−0.0879553 + 0.996124i \(0.528033\pi\)
\(434\) 15.0167 14.3174i 0.720822 0.687257i
\(435\) −0.0284970 + 0.0137234i −0.00136633 + 0.000657988i
\(436\) −0.285165 3.80526i −0.0136569 0.182239i
\(437\) 4.25138 + 1.31138i 0.203371 + 0.0627317i
\(438\) 0.0617376 0.0420920i 0.00294994 0.00201123i
\(439\) −23.5284 3.54633i −1.12295 0.169257i −0.438789 0.898590i \(-0.644592\pi\)
−0.684159 + 0.729333i \(0.739830\pi\)
\(440\) 2.83674 0.135237
\(441\) −12.6423 + 16.7667i −0.602016 + 0.798415i
\(442\) 0.657812 0.0312889
\(443\) 17.4669 + 2.63271i 0.829878 + 0.125084i 0.550224 0.835017i \(-0.314542\pi\)
0.279654 + 0.960101i \(0.409780\pi\)
\(444\) 0.0636215 0.0433764i 0.00301934 0.00205855i
\(445\) −1.41394 0.436142i −0.0670271 0.0206751i
\(446\) 0.648179 + 8.64934i 0.0306921 + 0.409558i
\(447\) 0.222466 0.107134i 0.0105223 0.00506727i
\(448\) 2.34237 + 3.93290i 0.110667 + 0.185812i
\(449\) −16.0695 7.73864i −0.758365 0.365209i 0.0144047 0.999896i \(-0.495415\pi\)
−0.772769 + 0.634687i \(0.781129\pi\)
\(450\) 8.94231 22.7846i 0.421545 1.07408i
\(451\) −1.73309 + 23.1265i −0.0816080 + 1.08898i
\(452\) 2.74781 + 7.00129i 0.129246 + 0.329313i
\(453\) −0.242399 + 0.0747703i −0.0113889 + 0.00351301i
\(454\) −19.2422 + 24.1290i −0.903084 + 1.13243i
\(455\) −1.39692 1.26132i −0.0654887 0.0591317i
\(456\) −0.0232077 0.0291015i −0.00108680 0.00136280i
\(457\) 8.14550 + 5.55351i 0.381030 + 0.259782i 0.738655 0.674083i \(-0.235461\pi\)
−0.357625 + 0.933865i \(0.616413\pi\)
\(458\) 34.8267 + 32.3145i 1.62735 + 1.50996i
\(459\) −0.0139649 + 0.0241879i −0.000651826 + 0.00112900i
\(460\) 0.904583 + 1.56678i 0.0421764 + 0.0730517i
\(461\) 3.27261 14.3382i 0.152420 0.667798i −0.839757 0.542962i \(-0.817303\pi\)
0.992177 0.124835i \(-0.0398403\pi\)
\(462\) 0.122171 + 0.149005i 0.00568389 + 0.00693232i
\(463\) −7.89671 34.5977i −0.366991 1.60789i −0.734998 0.678070i \(-0.762817\pi\)
0.368007 0.929823i \(-0.380040\pi\)
\(464\) −12.4607 + 11.5619i −0.578475 + 0.536747i
\(465\) −0.0390369 + 0.00588386i −0.00181029 + 0.000272858i
\(466\) −2.23527 + 0.336913i −0.103547 + 0.0156072i
\(467\) 30.1216 27.9488i 1.39386 1.29331i 0.486054 0.873929i \(-0.338436\pi\)
0.907808 0.419386i \(-0.137755\pi\)
\(468\) 0.865435 + 3.79172i 0.0400047 + 0.175272i
\(469\) −16.6647 + 21.4885i −0.769503 + 0.992248i
\(470\) 1.26984 5.56352i 0.0585733 0.256626i
\(471\) −0.0917764 0.158961i −0.00422883 0.00732455i
\(472\) 9.19423 15.9249i 0.423199 0.733002i
\(473\) −15.5389 14.4180i −0.714477 0.662938i
\(474\) −0.100996 0.0688582i −0.00463892 0.00316276i
\(475\) 6.35488 + 7.96876i 0.291582 + 0.365632i
\(476\) 0.469688 + 1.15060i 0.0215281 + 0.0527376i
\(477\) 2.80647 3.51921i 0.128500 0.161133i
\(478\) 32.2320 9.94227i 1.47426 0.454749i
\(479\) 8.97698 + 22.8730i 0.410169 + 1.04509i 0.975455 + 0.220198i \(0.0706704\pi\)
−0.565287 + 0.824895i \(0.691234\pi\)
\(480\) 0.00434674 0.0580032i 0.000198401 0.00264747i
\(481\) −1.68880 + 4.30300i −0.0770027 + 0.196200i
\(482\) 4.12313 + 1.98560i 0.187803 + 0.0904414i
\(483\) 0.0235179 0.0623988i 0.00107010 0.00283924i
\(484\) 1.46420 0.705123i 0.0665547 0.0320510i
\(485\) 0.213011 + 2.84243i 0.00967232 + 0.129068i
\(486\) −0.601829 0.185640i −0.0272995 0.00842079i
\(487\) −22.3279 + 15.2229i −1.01177 + 0.689815i −0.951272 0.308353i \(-0.900222\pi\)
−0.0605013 + 0.998168i \(0.519270\pi\)
\(488\) 12.4189 + 1.87185i 0.562178 + 0.0847347i
\(489\) −0.212116 −0.00959223
\(490\) 3.07352 8.50258i 0.138847 0.384107i
\(491\) −6.10285 −0.275418 −0.137709 0.990473i \(-0.543974\pi\)
−0.137709 + 0.990473i \(0.543974\pi\)
\(492\) 0.122361 + 0.0184429i 0.00551644 + 0.000831470i
\(493\) −1.03591 + 0.706275i −0.0466552 + 0.0318090i
\(494\) −3.93494 1.21377i −0.177041 0.0546100i
\(495\) 0.497866 + 6.64355i 0.0223774 + 0.298606i
\(496\) −19.1154 + 9.20548i −0.858306 + 0.413338i
\(497\) 2.64189 + 29.8191i 0.118505 + 1.33757i
\(498\) −0.349702 0.168408i −0.0156705 0.00754652i
\(499\) 6.38297 16.2635i 0.285741 0.728056i −0.713873 0.700275i \(-0.753061\pi\)
0.999614 0.0277808i \(-0.00884403\pi\)
\(500\) −0.654340 + 8.73157i −0.0292630 + 0.390488i
\(501\) −0.0677069 0.172514i −0.00302492 0.00770737i
\(502\) −10.3754 + 3.20039i −0.463077 + 0.142840i
\(503\) −10.2401 + 12.8407i −0.456585 + 0.572540i −0.955830 0.293921i \(-0.905040\pi\)
0.499244 + 0.866461i \(0.333611\pi\)
\(504\) 8.29807 5.82399i 0.369625 0.259421i
\(505\) 0.324022 + 0.406310i 0.0144188 + 0.0180806i
\(506\) 9.18698 + 6.26357i 0.408411 + 0.278450i
\(507\) 0.00941861 + 0.00873920i 0.000418295 + 0.000388121i
\(508\) −4.47080 + 7.74366i −0.198360 + 0.343569i
\(509\) 9.62493 + 16.6709i 0.426617 + 0.738923i 0.996570 0.0827545i \(-0.0263717\pi\)
−0.569953 + 0.821678i \(0.693038\pi\)
\(510\) 0.00133789 0.00586167i 5.92427e−5 0.000259559i
\(511\) −8.47375 + 0.114969i −0.374857 + 0.00508591i
\(512\) −4.16364 18.2421i −0.184009 0.806195i
\(513\) 0.128167 0.118921i 0.00565870 0.00525051i
\(514\) −11.9260 + 1.79756i −0.526035 + 0.0792871i
\(515\) −9.31131 + 1.40345i −0.410305 + 0.0618436i
\(516\) −0.0829112 + 0.0769304i −0.00364996 + 0.00338667i
\(517\) −3.06939 13.4479i −0.134992 0.591437i
\(518\) −22.2031 + 0.301244i −0.975550 + 0.0132359i
\(519\) 0.00779690 0.0341605i 0.000342246 0.00149948i
\(520\) 0.454324 + 0.786913i 0.0199234 + 0.0345084i
\(521\) 2.61474 4.52886i 0.114554 0.198413i −0.803048 0.595915i \(-0.796790\pi\)
0.917601 + 0.397502i \(0.130123\pi\)
\(522\) −13.8165 12.8199i −0.604733 0.561111i
\(523\) −1.75386 1.19576i −0.0766910 0.0522870i 0.524368 0.851492i \(-0.324302\pi\)
−0.601059 + 0.799205i \(0.705254\pi\)
\(524\) 6.03484 + 7.56745i 0.263633 + 0.330586i
\(525\) 0.125043 0.0877612i 0.00545733 0.00383021i
\(526\) −24.9983 + 31.3469i −1.08998 + 1.36679i
\(527\) −1.49536 + 0.461258i −0.0651390 + 0.0200927i
\(528\) −0.0719850 0.183415i −0.00313275 0.00798211i
\(529\) −1.43123 + 19.0984i −0.0622274 + 0.830367i
\(530\) −0.708032 + 1.80404i −0.0307549 + 0.0783623i
\(531\) 38.9091 + 18.7376i 1.68851 + 0.813145i
\(532\) −0.686574 7.74937i −0.0297667 0.335978i
\(533\) −6.69285 + 3.22311i −0.289899 + 0.139608i
\(534\) 0.00362614 + 0.0483875i 0.000156918 + 0.00209393i
\(535\) −4.35440 1.34315i −0.188257 0.0580696i
\(536\) 10.8472 7.39549i 0.468528 0.319437i
\(537\) −0.0124964 0.00188353i −0.000539260 8.12804e-5i
\(538\) 9.68412 0.417512
\(539\) −2.22375 21.7401i −0.0957838 0.936414i
\(540\) 0.0710972 0.00305954
\(541\) −38.5640 5.81258i −1.65799 0.249903i −0.747752 0.663978i \(-0.768867\pi\)
−0.910243 + 0.414075i \(0.864105\pi\)
\(542\) −25.1172 + 17.1246i −1.07888 + 0.735566i
\(543\) −0.168261 0.0519016i −0.00722077 0.00222731i
\(544\) −0.172303 2.29922i −0.00738743 0.0985784i
\(545\) 1.88642 0.908454i 0.0808055 0.0389139i
\(546\) −0.0217674 + 0.0577542i −0.000931557 + 0.00247165i
\(547\) −20.3053 9.77851i −0.868192 0.418099i −0.0538941 0.998547i \(-0.517163\pi\)
−0.814298 + 0.580448i \(0.802878\pi\)
\(548\) 1.05626 2.69130i 0.0451210 0.114966i
\(549\) −2.20421 + 29.4132i −0.0940735 + 1.25532i
\(550\) 9.30629 + 23.7120i 0.396822 + 1.01108i
\(551\) 7.49989 2.31341i 0.319506 0.0985546i
\(552\) −0.0200724 + 0.0251700i −0.000854340 + 0.00107131i
\(553\) 5.23950 + 12.8352i 0.222806 + 0.545810i
\(554\) 28.9477 + 36.2992i 1.22987 + 1.54221i
\(555\) 0.0349086 + 0.0238003i 0.00148179 + 0.00101027i
\(556\) −3.76230 3.49090i −0.159557 0.148047i
\(557\) −9.53076 + 16.5078i −0.403831 + 0.699456i −0.994185 0.107689i \(-0.965655\pi\)
0.590353 + 0.807145i \(0.298988\pi\)
\(558\) −11.7625 20.3732i −0.497945 0.862466i
\(559\) 1.51088 6.61961i 0.0639036 0.279980i
\(560\) −5.66563 + 7.30564i −0.239417 + 0.308719i
\(561\) −0.00323388 0.0141686i −0.000136535 0.000598197i
\(562\) −18.2364 + 16.9209i −0.769254 + 0.713763i
\(563\) 29.5674 4.45656i 1.24612 0.187822i 0.507324 0.861755i \(-0.330635\pi\)
0.738792 + 0.673934i \(0.235397\pi\)
\(564\) −0.0727776 + 0.0109695i −0.00306449 + 0.000461898i
\(565\) −3.02518 + 2.80696i −0.127270 + 0.118089i
\(566\) −10.1811 44.6065i −0.427945 1.87495i
\(567\) 15.0951 + 18.4106i 0.633934 + 0.773173i
\(568\) 3.21600 14.0902i 0.134940 0.591212i
\(569\) 6.92108 + 11.9877i 0.290147 + 0.502549i 0.973844 0.227217i \(-0.0729626\pi\)
−0.683698 + 0.729765i \(0.739629\pi\)
\(570\) −0.0188188 + 0.0325951i −0.000788232 + 0.00136526i
\(571\) −19.5593 18.1484i −0.818533 0.759488i 0.155029 0.987910i \(-0.450453\pi\)
−0.973562 + 0.228422i \(0.926643\pi\)
\(572\) −3.34423 2.28006i −0.139829 0.0953340i
\(573\) 0.0920527 + 0.115430i 0.00384556 + 0.00482218i
\(574\) −26.4852 23.9143i −1.10547 0.998163i
\(575\) 5.49636 6.89222i 0.229214 0.287426i
\(576\) 4.95964 1.52985i 0.206652 0.0637436i
\(577\) 10.9066 + 27.7895i 0.454047 + 1.15689i 0.956356 + 0.292205i \(0.0943891\pi\)
−0.502308 + 0.864689i \(0.667516\pi\)
\(578\) −2.28878 + 30.5416i −0.0952005 + 1.27036i
\(579\) 0.0670810 0.170920i 0.00278779 0.00710317i
\(580\) 2.87550 + 1.38477i 0.119398 + 0.0574993i
\(581\) 22.5257 + 37.8212i 0.934522 + 1.56909i
\(582\) 0.0842167 0.0405566i 0.00349090 0.00168113i
\(583\) 0.350069 + 4.67135i 0.0144984 + 0.193468i
\(584\) 3.90959 + 1.20595i 0.161780 + 0.0499025i
\(585\) −1.76318 + 1.20212i −0.0728987 + 0.0497015i
\(586\) −49.9626 7.53065i −2.06393 0.311088i
\(587\) 45.7642 1.88889 0.944445 0.328670i \(-0.106600\pi\)
0.944445 + 0.328670i \(0.106600\pi\)
\(588\) −0.116562 + 0.00316352i −0.00480693 + 0.000130461i
\(589\) 9.79614 0.403643
\(590\) −18.3860 2.77124i −0.756938 0.114090i
\(591\) 0.125223 0.0853753i 0.00515097 0.00351187i
\(592\) 21.6976 + 6.69281i 0.891764 + 0.275073i
\(593\) −3.45043 46.0428i −0.141692 1.89075i −0.388146 0.921598i \(-0.626885\pi\)
0.246454 0.969154i \(-0.420735\pi\)
\(594\) 0.393687 0.189590i 0.0161532 0.00777896i
\(595\) −0.493530 + 0.470548i −0.0202327 + 0.0192906i
\(596\) −22.4480 10.8104i −0.919507 0.442811i
\(597\) −0.0683324 + 0.174108i −0.00279666 + 0.00712577i
\(598\) −0.266157 + 3.55162i −0.0108840 + 0.145237i
\(599\) −5.03372 12.8257i −0.205672 0.524045i 0.790400 0.612592i \(-0.209873\pi\)
−0.996072 + 0.0885469i \(0.971778\pi\)
\(600\) −0.0704767 + 0.0217392i −0.00287720 + 0.000887499i
\(601\) −1.86649 + 2.34050i −0.0761356 + 0.0954711i −0.818441 0.574591i \(-0.805161\pi\)
0.742305 + 0.670062i \(0.233733\pi\)
\(602\) 32.1831 5.29830i 1.31168 0.215943i
\(603\) 19.2237 + 24.1058i 0.782851 + 0.981664i
\(604\) 21.1489 + 14.4190i 0.860535 + 0.586703i
\(605\) 0.653664 + 0.606512i 0.0265752 + 0.0246582i
\(606\) 0.00852113 0.0147590i 0.000346147 0.000599545i
\(607\) −6.09787 10.5618i −0.247505 0.428691i 0.715328 0.698789i \(-0.246277\pi\)
−0.962833 + 0.270098i \(0.912944\pi\)
\(608\) −3.21174 + 14.0716i −0.130253 + 0.570678i
\(609\) −0.0277301 0.114322i −0.00112368 0.00463255i
\(610\) −2.82587 12.3809i −0.114416 0.501289i
\(611\) 3.23886 3.00522i 0.131030 0.121578i
\(612\) 1.39336 0.210015i 0.0563231 0.00848934i
\(613\) −26.1908 + 3.94762i −1.05784 + 0.159443i −0.654846 0.755762i \(-0.727267\pi\)
−0.402989 + 0.915205i \(0.632029\pi\)
\(614\) 26.6444 24.7224i 1.07528 0.997715i
\(615\) 0.0151084 + 0.0661944i 0.000609231 + 0.00266921i
\(616\) −2.20795 + 10.3169i −0.0889610 + 0.415680i
\(617\) −5.46537 + 23.9454i −0.220028 + 0.964004i 0.737428 + 0.675425i \(0.236040\pi\)
−0.957456 + 0.288579i \(0.906817\pi\)
\(618\) 0.154398 + 0.267425i 0.00621079 + 0.0107574i
\(619\) −9.09923 + 15.7603i −0.365729 + 0.633461i −0.988893 0.148630i \(-0.952514\pi\)
0.623164 + 0.782091i \(0.285847\pi\)
\(620\) 2.92013 + 2.70948i 0.117275 + 0.108815i
\(621\) −0.124944 0.0851852i −0.00501382 0.00341837i
\(622\) −18.5280 23.2334i −0.742906 0.931575i
\(623\) 2.68672 4.80286i 0.107641 0.192422i
\(624\) 0.0393504 0.0493438i 0.00157528 0.00197533i
\(625\) 16.8806 5.20697i 0.675223 0.208279i
\(626\) −7.70440 19.6305i −0.307930 0.784593i
\(627\) −0.00679863 + 0.0907214i −0.000271511 + 0.00362306i
\(628\) −6.76664 + 17.2411i −0.270018 + 0.687996i
\(629\) 1.50892 + 0.726658i 0.0601646 + 0.0289737i
\(630\) −8.54734 5.65916i −0.340534 0.225466i
\(631\) 1.24042 0.597357i 0.0493805 0.0237804i −0.409031 0.912521i \(-0.634133\pi\)
0.458411 + 0.888740i \(0.348419\pi\)
\(632\) −0.500172 6.67433i −0.0198958 0.265491i
\(633\) 0.249522 + 0.0769673i 0.00991760 + 0.00305917i
\(634\) 6.08992 4.15204i 0.241862 0.164899i
\(635\) −4.85139 0.731229i −0.192522 0.0290180i
\(636\) 0.0249950 0.000991115
\(637\) 5.67456 4.09870i 0.224834 0.162396i
\(638\) 19.6151 0.776571
\(639\) 33.5632 + 5.05883i 1.32774 + 0.200124i
\(640\) 5.63451 3.84154i 0.222723 0.151850i
\(641\) −46.4064 14.3145i −1.83294 0.565387i −0.999926 0.0121362i \(-0.996137\pi\)
−0.833014 0.553251i \(-0.813387\pi\)
\(642\) 0.0111671 + 0.149015i 0.000440732 + 0.00588116i
\(643\) 24.2047 11.6564i 0.954541 0.459683i 0.109265 0.994013i \(-0.465150\pi\)
0.845276 + 0.534330i \(0.179436\pi\)
\(644\) −6.40229 + 2.07037i −0.252285 + 0.0815841i
\(645\) −0.0559136 0.0269265i −0.00220159 0.00106023i
\(646\) −0.545066 + 1.38881i −0.0214453 + 0.0546419i
\(647\) −0.399591 + 5.33218i −0.0157096 + 0.209630i 0.983825 + 0.179131i \(0.0573286\pi\)
−0.999535 + 0.0304986i \(0.990290\pi\)
\(648\) −4.19924 10.6995i −0.164962 0.420315i
\(649\) −42.9470 + 13.2474i −1.68582 + 0.520005i
\(650\) −5.08725 + 6.37921i −0.199538 + 0.250213i
\(651\) 0.00898508 0.146552i 0.000352153 0.00574384i
\(652\) 13.3450 + 16.7341i 0.522629 + 0.655356i
\(653\) −4.54911 3.10153i −0.178021 0.121372i 0.471031 0.882116i \(-0.343882\pi\)
−0.649052 + 0.760744i \(0.724834\pi\)
\(654\) −0.0503323 0.0467016i −0.00196815 0.00182618i
\(655\) −2.65543 + 4.59934i −0.103756 + 0.179711i
\(656\) 18.2448 + 31.6009i 0.712339 + 1.23381i
\(657\) −2.13813 + 9.36777i −0.0834165 + 0.365472i
\(658\) 19.2455 + 8.94857i 0.750269 + 0.348852i
\(659\) −11.2587 49.3278i −0.438579 1.92154i −0.384840 0.922983i \(-0.625743\pi\)
−0.0537389 0.998555i \(-0.517114\pi\)
\(660\) −0.0271189 + 0.0251627i −0.00105560 + 0.000979456i
\(661\) 43.0798 6.49324i 1.67561 0.252558i 0.758639 0.651511i \(-0.225865\pi\)
0.916971 + 0.398954i \(0.130627\pi\)
\(662\) −2.50995 + 0.378313i −0.0975518 + 0.0147036i
\(663\) 0.00341243 0.00316627i 0.000132528 0.000122968i
\(664\) −4.72914 20.7197i −0.183526 0.804082i
\(665\) 3.82046 1.90411i 0.148151 0.0738384i
\(666\) −5.60239 + 24.5457i −0.217088 + 0.951126i
\(667\) −3.39414 5.87882i −0.131422 0.227629i
\(668\) −9.35014 + 16.1949i −0.361768 + 0.626600i
\(669\) 0.0449946 + 0.0417489i 0.00173959 + 0.00161411i
\(670\) −10.9682 7.47801i −0.423740 0.288901i
\(671\) −19.1388 23.9993i −0.738844 0.926482i
\(672\) 0.207568 + 0.0609549i 0.00800710 + 0.00235138i
\(673\) 19.5863 24.5604i 0.754995 0.946734i −0.244743 0.969588i \(-0.578704\pi\)
0.999739 + 0.0228536i \(0.00727515\pi\)
\(674\) 13.5875 4.19118i 0.523370 0.161438i
\(675\) −0.126566 0.322486i −0.00487155 0.0124125i
\(676\) 0.0968862 1.29286i 0.00372639 0.0497252i
\(677\) 0.301187 0.767412i 0.0115756 0.0294940i −0.924969 0.380042i \(-0.875909\pi\)
0.936545 + 0.350548i \(0.114005\pi\)
\(678\) 0.121929 + 0.0587181i 0.00468267 + 0.00225506i
\(679\) −10.5034 1.43768i −0.403083 0.0551733i
\(680\) 0.296608 0.142839i 0.0113744 0.00547761i
\(681\) 0.0163211 + 0.217790i 0.000625425 + 0.00834572i
\(682\) 23.3948 + 7.21634i 0.895833 + 0.276328i
\(683\) −37.3270 + 25.4491i −1.42828 + 0.973783i −0.430825 + 0.902435i \(0.641777\pi\)
−0.997452 + 0.0713471i \(0.977270\pi\)
\(684\) −8.72237 1.31469i −0.333508 0.0502683i
\(685\) 1.58635 0.0606114
\(686\) 28.5307 + 17.7959i 1.08931 + 0.679452i
\(687\) 0.336205 0.0128270
\(688\) −32.9799 4.97092i −1.25735 0.189514i
\(689\) −1.23977 + 0.845258i −0.0472313 + 0.0322018i
\(690\) 0.0311067 + 0.00959514i 0.00118421 + 0.000365281i
\(691\) 2.63669 + 35.1842i 0.100304 + 1.33847i 0.789436 + 0.613833i \(0.210373\pi\)
−0.689131 + 0.724637i \(0.742008\pi\)
\(692\) −3.18548 + 1.53405i −0.121094 + 0.0583157i
\(693\) −24.5493 3.36027i −0.932553 0.127646i
\(694\) 9.15570 + 4.40915i 0.347546 + 0.167369i
\(695\) 1.02884 2.62143i 0.0390260 0.0994365i
\(696\) −0.00424415 + 0.0566343i −0.000160874 + 0.00214672i
\(697\) 0.983278 + 2.50535i 0.0372443 + 0.0948969i
\(698\) −21.3572 + 6.58784i −0.808384 + 0.249353i
\(699\) −0.00997388 + 0.0125069i −0.000377247 + 0.000473053i
\(700\) −14.7905 4.34340i −0.559026 0.164165i
\(701\) 23.7538 + 29.7863i 0.897169 + 1.12501i 0.991582 + 0.129481i \(0.0413312\pi\)
−0.0944128 + 0.995533i \(0.530097\pi\)
\(702\) 0.115644 + 0.0788446i 0.00436469 + 0.00297580i
\(703\) −7.68536 7.13097i −0.289859 0.268950i
\(704\) −2.70074 + 4.67782i −0.101788 + 0.176302i
\(705\) −0.0201918 0.0349732i −0.000760466 0.00131717i
\(706\) 1.20661 5.28652i 0.0454115 0.198961i
\(707\) −1.72990 + 0.862181i −0.0650597 + 0.0324257i
\(708\) 0.0533622 + 0.233795i 0.00200547 + 0.00878656i
\(709\) 15.1222 14.0314i 0.567927 0.526959i −0.343104 0.939297i \(-0.611478\pi\)
0.911031 + 0.412338i \(0.135288\pi\)
\(710\) −14.4506 + 2.17808i −0.542321 + 0.0817418i
\(711\) 15.5433 2.34277i 0.582918 0.0878607i
\(712\) −1.94763 + 1.80714i −0.0729907 + 0.0677254i
\(713\) −1.88536 8.26030i −0.0706073 0.309351i
\(714\) 0.0202769 + 0.00942812i 0.000758843 + 0.000352839i
\(715\) 0.494186 2.16517i 0.0184815 0.0809727i
\(716\) 0.637598 + 1.10435i 0.0238282 + 0.0412716i
\(717\) 0.119350 0.206720i 0.00445719 0.00772009i
\(718\) 26.6180 + 24.6979i 0.993376 + 0.921718i
\(719\) −33.7979 23.0430i −1.26045 0.859359i −0.265938 0.963990i \(-0.585682\pi\)
−0.994511 + 0.104631i \(0.966634\pi\)
\(720\) 6.53565 + 8.19545i 0.243569 + 0.305426i
\(721\) 2.14317 34.9565i 0.0798159 1.30185i
\(722\) −15.6853 + 19.6688i −0.583747 + 0.731996i
\(723\) 0.0309463 0.00954566i 0.00115090 0.000355007i
\(724\) 6.49130 + 16.5396i 0.241247 + 0.614688i
\(725\) 1.16216 15.5080i 0.0431616 0.575951i
\(726\) 0.0106832 0.0272203i 0.000396491 0.00101024i
\(727\) −27.2085 13.1029i −1.00911 0.485961i −0.145088 0.989419i \(-0.546347\pi\)
−0.864020 + 0.503458i \(0.832061\pi\)
\(728\) −3.21553 + 1.03984i −0.119175 + 0.0385390i
\(729\) 24.3181 11.7110i 0.900671 0.433740i
\(730\) −0.309159 4.12544i −0.0114425 0.152689i
\(731\) −2.35072 0.725100i −0.0869444 0.0268188i
\(732\) −0.135327 + 0.0922644i −0.00500183 + 0.00341019i
\(733\) 2.95113 + 0.444811i 0.109002 + 0.0164295i 0.203317 0.979113i \(-0.434828\pi\)
−0.0943145 + 0.995542i \(0.530066\pi\)
\(734\) 34.3585 1.26820
\(735\) −0.0249818 0.0589014i −0.000921467 0.00217261i
\(736\) 12.4836 0.460150
\(737\) −31.7291 4.78239i −1.16875 0.176161i
\(738\) −33.4295 + 22.7918i −1.23056 + 0.838979i
\(739\) 40.6925 + 12.5520i 1.49690 + 0.461732i 0.931701 0.363225i \(-0.118324\pi\)
0.565196 + 0.824957i \(0.308801\pi\)
\(740\) −0.318593 4.25133i −0.0117117 0.156282i
\(741\) −0.0262550 + 0.0126437i −0.000964500 + 0.000464479i
\(742\) −6.00998 3.97919i −0.220633 0.146081i
\(743\) −38.2670 18.4284i −1.40388 0.676073i −0.429936 0.902859i \(-0.641464\pi\)
−0.973945 + 0.226786i \(0.927178\pi\)
\(744\) −0.0258975 + 0.0659858i −0.000949448 + 0.00241916i
\(745\) 1.02163 13.6327i 0.0374295 0.499462i
\(746\) 18.8657 + 48.0690i 0.690722 + 1.75993i
\(747\) 47.6949 14.7119i 1.74506 0.538281i
\(748\) −0.914316 + 1.14652i −0.0334307 + 0.0419208i
\(749\) 8.27410 14.7910i 0.302329 0.540451i
\(750\) 0.0982311 + 0.123178i 0.00358689 + 0.00449782i
\(751\) 8.16984 + 5.57010i 0.298122 + 0.203256i 0.703138 0.711054i \(-0.251782\pi\)
−0.405016 + 0.914310i \(0.632734\pi\)
\(752\) −15.9096 14.7619i −0.580163 0.538313i
\(753\) −0.0384183 + 0.0665424i −0.00140004 + 0.00242494i
\(754\) 3.14150 + 5.44124i 0.114407 + 0.198158i
\(755\) −3.12522 + 13.6925i −0.113738 + 0.498321i
\(756\) −0.0553379 + 0.258572i −0.00201262 + 0.00940419i
\(757\) −5.06878 22.2078i −0.184228 0.807156i −0.979588 0.201018i \(-0.935575\pi\)
0.795359 0.606138i \(-0.207282\pi\)
\(758\) −13.7446 + 12.7531i −0.499227 + 0.463215i
\(759\) 0.0778065 0.0117274i 0.00282420 0.000425679i
\(760\) −2.03783 + 0.307153i −0.0739197 + 0.0111416i
\(761\) −8.55558 + 7.93842i −0.310139 + 0.287767i −0.819850 0.572579i \(-0.805943\pi\)
0.509710 + 0.860346i \(0.329753\pi\)
\(762\) 0.0358012 + 0.156855i 0.00129694 + 0.00568227i
\(763\) 1.83566 + 7.56779i 0.0664554 + 0.273972i
\(764\) 3.31507 14.5243i 0.119935 0.525469i
\(765\) 0.386579 + 0.669575i 0.0139768 + 0.0242085i
\(766\) −4.28774 + 7.42658i −0.154922 + 0.268333i
\(767\) −10.5531 9.79182i −0.381049 0.353562i
\(768\) −0.221508 0.151021i −0.00799297 0.00544951i
\(769\) −27.0487 33.9180i −0.975402 1.22312i −0.974792 0.223116i \(-0.928377\pi\)
−0.000610478 1.00000i \(-0.500194\pi\)
\(770\) 10.5266 1.73299i 0.379351 0.0624526i
\(771\) −0.0532146 + 0.0667290i −0.00191648 + 0.00240319i
\(772\) −17.7043 +