Properties

Label 637.2.bl.a.235.13
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
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: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.13
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.a.534.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0482185 + 0.00726776i) q^{2} +(1.72594 - 1.17672i) q^{3} +(-1.90887 - 0.588809i) q^{4} +(-0.208146 - 2.77752i) q^{5} +(0.0917741 - 0.0441961i) q^{6} +(1.61347 - 2.09684i) q^{7} +(-0.175632 - 0.0845798i) q^{8} +(0.498154 - 1.26928i) q^{9} +O(q^{10})\) \(q+(0.0482185 + 0.00726776i) q^{2} +(1.72594 - 1.17672i) q^{3} +(-1.90887 - 0.588809i) q^{4} +(-0.208146 - 2.77752i) q^{5} +(0.0917741 - 0.0441961i) q^{6} +(1.61347 - 2.09684i) q^{7} +(-0.175632 - 0.0845798i) q^{8} +(0.498154 - 1.26928i) q^{9} +(0.0101499 - 0.135440i) q^{10} +(-0.0497559 - 0.126776i) q^{11} +(-3.98746 + 1.22997i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(0.0930382 - 0.0893800i) q^{14} +(-3.62762 - 4.54889i) q^{15} +(3.29317 + 2.24525i) q^{16} +(-0.921886 - 0.855385i) q^{17} +(0.0332450 - 0.0575821i) q^{18} +(-1.13153 - 1.95987i) q^{19} +(-1.23810 + 5.42449i) q^{20} +(0.317343 - 5.51761i) q^{21} +(-0.00147778 - 0.00647456i) q^{22} +(-3.55870 + 3.30199i) q^{23} +(-0.402656 + 0.0606906i) q^{24} +(-2.72712 + 0.411047i) q^{25} +(-0.0357459 + 0.0331673i) q^{26} +(0.760672 + 3.33272i) q^{27} +(-4.31454 + 3.05257i) q^{28} +(0.352487 - 1.54435i) q^{29} +(-0.141858 - 0.245705i) q^{30} +(3.15912 - 5.47176i) q^{31} +(0.428271 + 0.397377i) q^{32} +(-0.235056 - 0.160258i) q^{33} +(-0.0382352 - 0.0479454i) q^{34} +(-6.15984 - 4.04498i) q^{35} +(-1.69828 + 2.12957i) q^{36} +(-2.96942 + 0.915944i) q^{37} +(-0.0403169 - 0.102726i) q^{38} +(-0.156104 + 2.08307i) q^{39} +(-0.198365 + 0.505425i) q^{40} +(-3.94223 - 1.89848i) q^{41} +(0.0554025 - 0.263744i) q^{42} +(-2.74895 + 1.32383i) q^{43} +(0.0203308 + 0.271296i) q^{44} +(-3.62913 - 1.11944i) q^{45} +(-0.195593 + 0.133353i) q^{46} +(6.49479 + 0.978932i) q^{47} +8.32584 q^{48} +(-1.79345 - 6.76635i) q^{49} -0.134485 q^{50} +(-2.59767 - 0.391536i) q^{51} +(1.65051 - 1.12530i) q^{52} +(4.29211 + 1.32394i) q^{53} +(0.0124570 + 0.166227i) q^{54} +(-0.341766 + 0.164586i) q^{55} +(-0.460726 + 0.231804i) q^{56} +(-4.25919 - 2.05112i) q^{57} +(0.0282203 - 0.0719042i) q^{58} +(0.910351 - 12.1478i) q^{59} +(4.24623 + 10.8192i) q^{60} +(7.93443 - 2.44745i) q^{61} +(0.192095 - 0.240880i) q^{62} +(-1.85771 - 3.09248i) q^{63} +(-4.95237 - 6.21008i) q^{64} +(2.30133 + 1.56902i) q^{65} +(-0.0101693 - 0.00943574i) q^{66} +(0.797322 - 1.38100i) q^{67} +(1.25611 + 2.17564i) q^{68} +(-2.25656 + 9.88664i) q^{69} +(-0.267620 - 0.239811i) q^{70} +(2.64783 + 11.6009i) q^{71} +(-0.194847 + 0.180791i) q^{72} +(12.3066 - 1.85492i) q^{73} +(-0.149838 + 0.0225844i) q^{74} +(-4.22315 + 3.91851i) q^{75} +(1.00596 + 4.40741i) q^{76} +(-0.346108 - 0.100219i) q^{77} +(-0.0226663 + 0.0993077i) q^{78} +(-0.0499915 - 0.0865879i) q^{79} +(5.55075 - 9.61418i) q^{80} +(8.23318 + 7.63928i) q^{81} +(-0.176291 - 0.120193i) q^{82} +(5.75041 + 7.21078i) q^{83} +(-3.85459 + 10.3456i) q^{84} +(-2.18396 + 2.73860i) q^{85} +(-0.142171 + 0.0438541i) q^{86} +(-1.20890 - 3.08022i) q^{87} +(-0.00198397 + 0.0264742i) q^{88} +(-1.17904 + 3.00415i) q^{89} +(-0.166855 - 0.0803532i) q^{90} +(0.633393 + 2.56882i) q^{91} +(8.73736 - 4.20769i) q^{92} +(-0.986304 - 13.1613i) q^{93} +(0.306054 + 0.0944052i) q^{94} +(-5.20806 + 3.55080i) q^{95} +(1.20677 + 0.181891i) q^{96} -1.95504 q^{97} +(-0.0373012 - 0.339298i) q^{98} -0.185700 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0482185 + 0.00726776i 0.0340956 + 0.00513909i 0.166068 0.986114i \(-0.446893\pi\)
−0.131972 + 0.991253i \(0.542131\pi\)
\(3\) 1.72594 1.17672i 0.996470 0.679381i 0.0488578 0.998806i \(-0.484442\pi\)
0.947612 + 0.319424i \(0.103489\pi\)
\(4\) −1.90887 0.588809i −0.954437 0.294405i
\(5\) −0.208146 2.77752i −0.0930858 1.24214i −0.826726 0.562605i \(-0.809799\pi\)
0.733640 0.679538i \(-0.237820\pi\)
\(6\) 0.0917741 0.0441961i 0.0374666 0.0180430i
\(7\) 1.61347 2.09684i 0.609833 0.792530i
\(8\) −0.175632 0.0845798i −0.0620952 0.0299035i
\(9\) 0.498154 1.26928i 0.166051 0.423092i
\(10\) 0.0101499 0.135440i 0.00320966 0.0428300i
\(11\) −0.0497559 0.126776i −0.0150020 0.0382244i 0.923177 0.384376i \(-0.125583\pi\)
−0.938179 + 0.346152i \(0.887488\pi\)
\(12\) −3.98746 + 1.22997i −1.15108 + 0.355061i
\(13\) −0.623490 + 0.781831i −0.172925 + 0.216841i
\(14\) 0.0930382 0.0893800i 0.0248655 0.0238878i
\(15\) −3.62762 4.54889i −0.936646 1.17452i
\(16\) 3.29317 + 2.24525i 0.823293 + 0.561312i
\(17\) −0.921886 0.855385i −0.223590 0.207461i 0.560421 0.828208i \(-0.310639\pi\)
−0.784012 + 0.620746i \(0.786830\pi\)
\(18\) 0.0332450 0.0575821i 0.00783593 0.0135722i
\(19\) −1.13153 1.95987i −0.259592 0.449626i 0.706541 0.707672i \(-0.250255\pi\)
−0.966133 + 0.258046i \(0.916921\pi\)
\(20\) −1.23810 + 5.42449i −0.276848 + 1.21295i
\(21\) 0.317343 5.51761i 0.0692500 1.20404i
\(22\) −0.00147778 0.00647456i −0.000315063 0.00138038i
\(23\) −3.55870 + 3.30199i −0.742041 + 0.688513i −0.957640 0.287969i \(-0.907020\pi\)
0.215599 + 0.976482i \(0.430830\pi\)
\(24\) −0.402656 + 0.0606906i −0.0821918 + 0.0123884i
\(25\) −2.72712 + 0.411047i −0.545424 + 0.0822095i
\(26\) −0.0357459 + 0.0331673i −0.00701035 + 0.00650465i
\(27\) 0.760672 + 3.33272i 0.146391 + 0.641382i
\(28\) −4.31454 + 3.05257i −0.815372 + 0.576882i
\(29\) 0.352487 1.54435i 0.0654552 0.286778i −0.931598 0.363490i \(-0.881585\pi\)
0.997053 + 0.0767121i \(0.0244422\pi\)
\(30\) −0.141858 0.245705i −0.0258996 0.0448594i
\(31\) 3.15912 5.47176i 0.567395 0.982756i −0.429428 0.903101i \(-0.641285\pi\)
0.996822 0.0796553i \(-0.0253819\pi\)
\(32\) 0.428271 + 0.397377i 0.0757083 + 0.0702470i
\(33\) −0.235056 0.160258i −0.0409180 0.0278974i
\(34\) −0.0382352 0.0479454i −0.00655728 0.00822257i
\(35\) −6.15984 4.04498i −1.04120 0.683727i
\(36\) −1.69828 + 2.12957i −0.283046 + 0.354928i
\(37\) −2.96942 + 0.915944i −0.488169 + 0.150580i −0.529062 0.848583i \(-0.677456\pi\)
0.0408926 + 0.999164i \(0.486980\pi\)
\(38\) −0.0403169 0.102726i −0.00654027 0.0166643i
\(39\) −0.156104 + 2.08307i −0.0249967 + 0.333558i
\(40\) −0.198365 + 0.505425i −0.0313642 + 0.0799147i
\(41\) −3.94223 1.89848i −0.615674 0.296493i 0.0999354 0.994994i \(-0.468136\pi\)
−0.715609 + 0.698501i \(0.753851\pi\)
\(42\) 0.0554025 0.263744i 0.00854879 0.0406966i
\(43\) −2.74895 + 1.32383i −0.419211 + 0.201881i −0.631584 0.775307i \(-0.717595\pi\)
0.212373 + 0.977189i \(0.431881\pi\)
\(44\) 0.0203308 + 0.271296i 0.00306499 + 0.0408994i
\(45\) −3.62913 1.11944i −0.540998 0.166876i
\(46\) −0.195593 + 0.133353i −0.0288387 + 0.0196619i
\(47\) 6.49479 + 0.978932i 0.947362 + 0.142792i 0.604510 0.796597i \(-0.293369\pi\)
0.342852 + 0.939389i \(0.388607\pi\)
\(48\) 8.32584 1.20173
\(49\) −1.79345 6.76635i −0.256207 0.966622i
\(50\) −0.134485 −0.0190191
\(51\) −2.59767 0.391536i −0.363746 0.0548259i
\(52\) 1.65051 1.12530i 0.228885 0.156051i
\(53\) 4.29211 + 1.32394i 0.589567 + 0.181857i 0.575163 0.818039i \(-0.304939\pi\)
0.0144039 + 0.999896i \(0.495415\pi\)
\(54\) 0.0124570 + 0.166227i 0.00169518 + 0.0226206i
\(55\) −0.341766 + 0.164586i −0.0460837 + 0.0221928i
\(56\) −0.460726 + 0.231804i −0.0615671 + 0.0309762i
\(57\) −4.25919 2.05112i −0.564143 0.271677i
\(58\) 0.0282203 0.0719042i 0.00370551 0.00944148i
\(59\) 0.910351 12.1478i 0.118518 1.58151i −0.548296 0.836284i \(-0.684723\pi\)
0.666814 0.745224i \(-0.267658\pi\)
\(60\) 4.24623 + 10.8192i 0.548186 + 1.39676i
\(61\) 7.93443 2.44745i 1.01590 0.313364i 0.258287 0.966068i \(-0.416842\pi\)
0.757612 + 0.652705i \(0.226366\pi\)
\(62\) 0.192095 0.240880i 0.0243961 0.0305918i
\(63\) −1.85771 3.09248i −0.234050 0.389616i
\(64\) −4.95237 6.21008i −0.619047 0.776260i
\(65\) 2.30133 + 1.56902i 0.285445 + 0.194613i
\(66\) −0.0101693 0.00943574i −0.00125176 0.00116146i
\(67\) 0.797322 1.38100i 0.0974084 0.168716i −0.813203 0.581980i \(-0.802278\pi\)
0.910611 + 0.413264i \(0.135611\pi\)
\(68\) 1.25611 + 2.17564i 0.152325 + 0.263835i
\(69\) −2.25656 + 9.88664i −0.271658 + 1.19021i
\(70\) −0.267620 0.239811i −0.0319867 0.0286629i
\(71\) 2.64783 + 11.6009i 0.314239 + 1.37677i 0.847488 + 0.530814i \(0.178114\pi\)
−0.533249 + 0.845959i \(0.679029\pi\)
\(72\) −0.194847 + 0.180791i −0.0229629 + 0.0213065i
\(73\) 12.3066 1.85492i 1.44038 0.217102i 0.618061 0.786130i \(-0.287918\pi\)
0.822319 + 0.569027i \(0.192680\pi\)
\(74\) −0.149838 + 0.0225844i −0.0174183 + 0.00262538i
\(75\) −4.22315 + 3.91851i −0.487647 + 0.452470i
\(76\) 1.00596 + 4.40741i 0.115392 + 0.505565i
\(77\) −0.346108 0.100219i −0.0394427 0.0114210i
\(78\) −0.0226663 + 0.0993077i −0.00256646 + 0.0112444i
\(79\) −0.0499915 0.0865879i −0.00562449 0.00974190i 0.863199 0.504863i \(-0.168457\pi\)
−0.868824 + 0.495121i \(0.835124\pi\)
\(80\) 5.55075 9.61418i 0.620593 1.07490i
\(81\) 8.23318 + 7.63928i 0.914798 + 0.848808i
\(82\) −0.176291 0.120193i −0.0194681 0.0132731i
\(83\) 5.75041 + 7.21078i 0.631189 + 0.791486i 0.989870 0.141974i \(-0.0453450\pi\)
−0.358681 + 0.933460i \(0.616774\pi\)
\(84\) −3.85459 + 10.3456i −0.420570 + 1.12879i
\(85\) −2.18396 + 2.73860i −0.236884 + 0.297043i
\(86\) −0.142171 + 0.0438541i −0.0153307 + 0.00472891i
\(87\) −1.20890 3.08022i −0.129607 0.330234i
\(88\) −0.00198397 + 0.0264742i −0.000211492 + 0.00282216i
\(89\) −1.17904 + 3.00415i −0.124978 + 0.318439i −0.979645 0.200738i \(-0.935666\pi\)
0.854667 + 0.519177i \(0.173761\pi\)
\(90\) −0.166855 0.0803532i −0.0175881 0.00846997i
\(91\) 0.633393 + 2.56882i 0.0663976 + 0.269285i
\(92\) 8.73736 4.20769i 0.910933 0.438682i
\(93\) −0.986304 13.1613i −0.102275 1.36476i
\(94\) 0.306054 + 0.0944052i 0.0315671 + 0.00973715i
\(95\) −5.20806 + 3.55080i −0.534336 + 0.364304i
\(96\) 1.20677 + 0.181891i 0.123166 + 0.0185642i
\(97\) −1.95504 −0.198504 −0.0992519 0.995062i \(-0.531645\pi\)
−0.0992519 + 0.995062i \(0.531645\pi\)
\(98\) −0.0373012 0.339298i −0.00376799 0.0342742i
\(99\) −0.185700 −0.0186636
\(100\) 5.44776 + 0.821117i 0.544776 + 0.0821117i
\(101\) 2.82382 1.92525i 0.280981 0.191570i −0.414626 0.909992i \(-0.636088\pi\)
0.695607 + 0.718422i \(0.255135\pi\)
\(102\) −0.122410 0.0377585i −0.0121204 0.00373865i
\(103\) −0.986250 13.1606i −0.0971781 1.29675i −0.806233 0.591598i \(-0.798497\pi\)
0.709055 0.705153i \(-0.249122\pi\)
\(104\) 0.175632 0.0845798i 0.0172221 0.00829373i
\(105\) −15.3913 + 0.267043i −1.50204 + 0.0260607i
\(106\) 0.197337 + 0.0950324i 0.0191671 + 0.00923037i
\(107\) −0.651062 + 1.65888i −0.0629405 + 0.160370i −0.958884 0.283798i \(-0.908405\pi\)
0.895944 + 0.444168i \(0.146501\pi\)
\(108\) 0.510311 6.80963i 0.0491047 0.655257i
\(109\) 1.14836 + 2.92598i 0.109993 + 0.280258i 0.975263 0.221049i \(-0.0709480\pi\)
−0.865270 + 0.501307i \(0.832853\pi\)
\(110\) −0.0176756 + 0.00545220i −0.00168530 + 0.000519847i
\(111\) −4.04721 + 5.07504i −0.384144 + 0.481702i
\(112\) 10.0213 3.28261i 0.946928 0.310178i
\(113\) −7.55524 9.47397i −0.710737 0.891236i 0.287037 0.957919i \(-0.407330\pi\)
−0.997774 + 0.0666835i \(0.978758\pi\)
\(114\) −0.190464 0.129856i −0.0178386 0.0121622i
\(115\) 9.91207 + 9.19706i 0.924306 + 0.857630i
\(116\) −1.58218 + 2.74041i −0.146902 + 0.254441i
\(117\) 0.681766 + 1.18085i 0.0630293 + 0.109170i
\(118\) 0.132183 0.579132i 0.0121684 0.0533134i
\(119\) −3.28104 + 0.552909i −0.300772 + 0.0506851i
\(120\) 0.252381 + 1.10575i 0.0230391 + 0.100941i
\(121\) 8.04997 7.46928i 0.731816 0.679026i
\(122\) 0.400373 0.0603466i 0.0362481 0.00546352i
\(123\) −9.03803 + 1.36226i −0.814932 + 0.122831i
\(124\) −9.25218 + 8.58477i −0.830871 + 0.770935i
\(125\) −1.38961 6.08829i −0.124291 0.544553i
\(126\) −0.0671005 0.162616i −0.00597779 0.0144870i
\(127\) −0.969278 + 4.24668i −0.0860095 + 0.376832i −0.999553 0.0299097i \(-0.990478\pi\)
0.913543 + 0.406742i \(0.133335\pi\)
\(128\) −0.777892 1.34735i −0.0687566 0.119090i
\(129\) −3.18674 + 5.51959i −0.280577 + 0.485973i
\(130\) 0.0995632 + 0.0923812i 0.00873227 + 0.00810236i
\(131\) 9.05216 + 6.17166i 0.790891 + 0.539220i 0.890056 0.455851i \(-0.150665\pi\)
−0.0991655 + 0.995071i \(0.531617\pi\)
\(132\) 0.354330 + 0.444316i 0.0308405 + 0.0386728i
\(133\) −5.93523 0.789550i −0.514650 0.0684626i
\(134\) 0.0484825 0.0607951i 0.00418825 0.00525189i
\(135\) 9.09836 2.80647i 0.783062 0.241543i
\(136\) 0.0895641 + 0.228206i 0.00768006 + 0.0195685i
\(137\) 0.480525 6.41216i 0.0410540 0.547828i −0.938319 0.345770i \(-0.887618\pi\)
0.979373 0.202058i \(-0.0647631\pi\)
\(138\) −0.180662 + 0.460318i −0.0153789 + 0.0391849i
\(139\) −6.76934 3.25994i −0.574168 0.276505i 0.124184 0.992259i \(-0.460369\pi\)
−0.698352 + 0.715754i \(0.746083\pi\)
\(140\) 9.37663 + 11.3483i 0.792469 + 0.959109i
\(141\) 12.3615 5.95300i 1.04103 0.501333i
\(142\) 0.0433617 + 0.578621i 0.00363883 + 0.0485568i
\(143\) 0.130140 + 0.0401428i 0.0108828 + 0.00335691i
\(144\) 4.49035 3.06147i 0.374196 0.255122i
\(145\) −4.36282 0.657589i −0.362312 0.0546098i
\(146\) 0.606887 0.0502263
\(147\) −11.0575 9.56790i −0.912008 0.789147i
\(148\) 6.20756 0.510258
\(149\) −16.2778 2.45348i −1.33353 0.200997i −0.556702 0.830712i \(-0.687934\pi\)
−0.776826 + 0.629715i \(0.783172\pi\)
\(150\) −0.232113 + 0.158252i −0.0189519 + 0.0129212i
\(151\) 19.4328 + 5.99422i 1.58142 + 0.487802i 0.956216 0.292662i \(-0.0945409\pi\)
0.625201 + 0.780464i \(0.285017\pi\)
\(152\) 0.0329675 + 0.439921i 0.00267402 + 0.0356823i
\(153\) −1.54496 + 0.744015i −0.124903 + 0.0601500i
\(154\) −0.0159604 0.00734783i −0.00128613 0.000592105i
\(155\) −15.8555 7.63558i −1.27354 0.613305i
\(156\) 1.52451 3.88439i 0.122059 0.311000i
\(157\) −1.58141 + 21.1025i −0.126210 + 1.68416i 0.471044 + 0.882110i \(0.343877\pi\)
−0.597255 + 0.802052i \(0.703742\pi\)
\(158\) −0.00178121 0.00453846i −0.000141706 0.000361061i
\(159\) 8.96582 2.76559i 0.711036 0.219325i
\(160\) 1.01458 1.27224i 0.0802095 0.100580i
\(161\) 1.18189 + 12.7897i 0.0931463 + 1.00797i
\(162\) 0.341471 + 0.428191i 0.0268285 + 0.0336419i
\(163\) 4.08658 + 2.78619i 0.320086 + 0.218231i 0.712694 0.701475i \(-0.247475\pi\)
−0.392608 + 0.919706i \(0.628427\pi\)
\(164\) 6.40738 + 5.94518i 0.500333 + 0.464241i
\(165\) −0.396194 + 0.686229i −0.0308437 + 0.0534228i
\(166\) 0.224869 + 0.389485i 0.0174533 + 0.0302299i
\(167\) −4.77276 + 20.9108i −0.369327 + 1.61813i 0.359304 + 0.933221i \(0.383014\pi\)
−0.728631 + 0.684906i \(0.759843\pi\)
\(168\) −0.522414 + 0.942226i −0.0403051 + 0.0726943i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −0.125211 + 0.116179i −0.00960322 + 0.00891049i
\(171\) −3.05130 + 0.459910i −0.233339 + 0.0351702i
\(172\) 6.02688 0.908406i 0.459545 0.0692653i
\(173\) −4.04100 + 3.74950i −0.307231 + 0.285069i −0.818686 0.574241i \(-0.805297\pi\)
0.511455 + 0.859310i \(0.329107\pi\)
\(174\) −0.0359049 0.157310i −0.00272194 0.0119256i
\(175\) −3.53822 + 6.38154i −0.267464 + 0.482399i
\(176\) 0.120789 0.529210i 0.00910479 0.0398907i
\(177\) −12.7234 22.0376i −0.956348 1.65644i
\(178\) −0.0786849 + 0.136286i −0.00589769 + 0.0102151i
\(179\) 2.65962 + 2.46776i 0.198789 + 0.184449i 0.773286 0.634057i \(-0.218612\pi\)
−0.574497 + 0.818507i \(0.694802\pi\)
\(180\) 6.26841 + 4.27373i 0.467220 + 0.318545i
\(181\) 6.33060 + 7.93832i 0.470550 + 0.590051i 0.959306 0.282370i \(-0.0911205\pi\)
−0.488756 + 0.872421i \(0.662549\pi\)
\(182\) 0.0118717 + 0.128468i 0.000879989 + 0.00952266i
\(183\) 10.8143 13.5608i 0.799420 1.00244i
\(184\) 0.904303 0.278940i 0.0666661 0.0205638i
\(185\) 3.16212 + 8.05696i 0.232484 + 0.592359i
\(186\) 0.0480952 0.641786i 0.00352651 0.0470581i
\(187\) −0.0625731 + 0.159434i −0.00457580 + 0.0116589i
\(188\) −11.8213 5.69285i −0.862159 0.415194i
\(189\) 8.21549 + 3.78223i 0.597589 + 0.275117i
\(190\) −0.276931 + 0.133363i −0.0200907 + 0.00967517i
\(191\) 0.833999 + 11.1289i 0.0603461 + 0.805262i 0.942480 + 0.334263i \(0.108487\pi\)
−0.882134 + 0.470999i \(0.843893\pi\)
\(192\) −15.8550 4.89063i −1.14424 0.352951i
\(193\) 8.83456 6.02330i 0.635926 0.433567i −0.201974 0.979391i \(-0.564736\pi\)
0.837900 + 0.545824i \(0.183783\pi\)
\(194\) −0.0942689 0.0142087i −0.00676811 0.00102013i
\(195\) 5.81824 0.416653
\(196\) −0.560622 + 13.9721i −0.0400444 + 0.998008i
\(197\) 24.0314 1.71217 0.856083 0.516838i \(-0.172891\pi\)
0.856083 + 0.516838i \(0.172891\pi\)
\(198\) −0.00895417 0.00134962i −0.000636345 9.59136e-5i
\(199\) 3.31450 2.25979i 0.234958 0.160192i −0.440117 0.897940i \(-0.645063\pi\)
0.675076 + 0.737748i \(0.264111\pi\)
\(200\) 0.513735 + 0.158466i 0.0363266 + 0.0112053i
\(201\) −0.248931 3.32175i −0.0175582 0.234298i
\(202\) 0.150153 0.0723097i 0.0105647 0.00508769i
\(203\) −2.66952 3.23086i −0.187363 0.226762i
\(204\) 4.72808 + 2.27692i 0.331032 + 0.159417i
\(205\) −4.45250 + 11.3448i −0.310976 + 0.792354i
\(206\) 0.0480926 0.641751i 0.00335077 0.0447129i
\(207\) 2.41836 + 6.16188i 0.168088 + 0.428280i
\(208\) −3.80866 + 1.17482i −0.264083 + 0.0814589i
\(209\) −0.192165 + 0.240967i −0.0132923 + 0.0166680i
\(210\) −0.744086 0.0989840i −0.0513468 0.00683055i
\(211\) −10.8159 13.5627i −0.744597 0.933695i 0.254849 0.966981i \(-0.417974\pi\)
−0.999446 + 0.0332859i \(0.989403\pi\)
\(212\) −7.41355 5.05447i −0.509164 0.347142i
\(213\) 18.2210 + 16.9066i 1.24848 + 1.15842i
\(214\) −0.0434495 + 0.0752568i −0.00297015 + 0.00514445i
\(215\) 4.24913 + 7.35971i 0.289788 + 0.501928i
\(216\) 0.148283 0.649669i 0.0100894 0.0442044i
\(217\) −6.37625 15.4527i −0.432848 1.04899i
\(218\) 0.0341070 + 0.149432i 0.00231001 + 0.0101208i
\(219\) 19.0577 17.6830i 1.28780 1.19490i
\(220\) 0.749298 0.112938i 0.0505177 0.00761431i
\(221\) 1.24355 0.187436i 0.0836505 0.0126083i
\(222\) −0.232035 + 0.215297i −0.0155731 + 0.0144498i
\(223\) −1.41629 6.20517i −0.0948418 0.415529i 0.905112 0.425174i \(-0.139787\pi\)
−0.999953 + 0.00964477i \(0.996930\pi\)
\(224\) 1.52424 0.256859i 0.101842 0.0171621i
\(225\) −0.836795 + 3.66624i −0.0557863 + 0.244416i
\(226\) −0.295447 0.511730i −0.0196529 0.0340398i
\(227\) 1.76151 3.05102i 0.116915 0.202503i −0.801629 0.597822i \(-0.796033\pi\)
0.918544 + 0.395319i \(0.129366\pi\)
\(228\) 6.92253 + 6.42317i 0.458456 + 0.425385i
\(229\) 19.5915 + 13.3573i 1.29464 + 0.882673i 0.997395 0.0721268i \(-0.0229786\pi\)
0.297248 + 0.954800i \(0.403931\pi\)
\(230\) 0.411103 + 0.515507i 0.0271073 + 0.0339915i
\(231\) −0.715291 + 0.234302i −0.0470627 + 0.0154160i
\(232\) −0.192528 + 0.241423i −0.0126401 + 0.0158502i
\(233\) −18.6610 + 5.75615i −1.22252 + 0.377098i −0.837821 0.545944i \(-0.816171\pi\)
−0.384699 + 0.923042i \(0.625695\pi\)
\(234\) 0.0242916 + 0.0618939i 0.00158799 + 0.00404613i
\(235\) 1.36713 18.2431i 0.0891820 1.19005i
\(236\) −8.89048 + 22.6526i −0.578721 + 1.47456i
\(237\) −0.188172 0.0906189i −0.0122231 0.00588633i
\(238\) −0.162225 + 0.00281464i −0.0105155 + 0.000182446i
\(239\) −9.42497 + 4.53883i −0.609651 + 0.293592i −0.713122 0.701040i \(-0.752719\pi\)
0.103471 + 0.994632i \(0.467005\pi\)
\(240\) −1.73299 23.1252i −0.111864 1.49272i
\(241\) 10.8194 + 3.33734i 0.696939 + 0.214977i 0.622927 0.782280i \(-0.285943\pi\)
0.0740123 + 0.997257i \(0.476420\pi\)
\(242\) 0.442442 0.301652i 0.0284413 0.0193909i
\(243\) 13.0585 + 1.96825i 0.837704 + 0.126264i
\(244\) −16.5869 −1.06187
\(245\) −18.4204 + 6.38973i −1.17683 + 0.408225i
\(246\) −0.445700 −0.0284168
\(247\) 2.23779 + 0.337293i 0.142387 + 0.0214614i
\(248\) −1.01764 + 0.693816i −0.0646203 + 0.0440574i
\(249\) 18.4099 + 5.67871i 1.16668 + 0.359874i
\(250\) −0.0227567 0.303667i −0.00143926 0.0192056i
\(251\) −25.7708 + 12.4106i −1.62664 + 0.783349i −0.626649 + 0.779302i \(0.715574\pi\)
−0.999992 + 0.00404699i \(0.998712\pi\)
\(252\) 1.72525 + 6.99700i 0.108681 + 0.440770i
\(253\) 0.595680 + 0.286864i 0.0374501 + 0.0180350i
\(254\) −0.0776010 + 0.197724i −0.00486912 + 0.0124063i
\(255\) −0.546802 + 7.29657i −0.0342421 + 0.456929i
\(256\) 5.77608 + 14.7172i 0.361005 + 0.919826i
\(257\) −6.75453 + 2.08350i −0.421336 + 0.129965i −0.498171 0.867079i \(-0.665995\pi\)
0.0768349 + 0.997044i \(0.475519\pi\)
\(258\) −0.193775 + 0.242986i −0.0120639 + 0.0151276i
\(259\) −2.87047 + 7.70423i −0.178362 + 0.478718i
\(260\) −3.46909 4.35010i −0.215144 0.269782i
\(261\) −1.78461 1.21673i −0.110465 0.0753135i
\(262\) 0.391627 + 0.363377i 0.0241948 + 0.0224495i
\(263\) 11.9905 20.7682i 0.739369 1.28062i −0.213412 0.976962i \(-0.568458\pi\)
0.952780 0.303661i \(-0.0982092\pi\)
\(264\) 0.0277286 + 0.0480274i 0.00170658 + 0.00295588i
\(265\) 2.78388 12.1970i 0.171012 0.749255i
\(266\) −0.280449 0.0812067i −0.0171955 0.00497910i
\(267\) 1.50010 + 6.57237i 0.0918046 + 0.402222i
\(268\) −2.33513 + 2.16669i −0.142641 + 0.132352i
\(269\) −25.9951 + 3.91813i −1.58495 + 0.238893i −0.881616 0.471967i \(-0.843544\pi\)
−0.703334 + 0.710859i \(0.748306\pi\)
\(270\) 0.459106 0.0691990i 0.0279403 0.00421132i
\(271\) 11.0453 10.2486i 0.670956 0.622556i −0.269287 0.963060i \(-0.586788\pi\)
0.940243 + 0.340504i \(0.110598\pi\)
\(272\) −1.11538 4.88679i −0.0676298 0.296305i
\(273\) 4.11598 + 3.68828i 0.249111 + 0.223225i
\(274\) 0.0697723 0.305692i 0.00421510 0.0184675i
\(275\) 0.187801 + 0.325282i 0.0113249 + 0.0196152i
\(276\) 10.1288 17.5437i 0.609684 1.05600i
\(277\) 0.435133 + 0.403745i 0.0261446 + 0.0242587i 0.693137 0.720806i \(-0.256228\pi\)
−0.666992 + 0.745065i \(0.732419\pi\)
\(278\) −0.302715 0.206388i −0.0181556 0.0123783i
\(279\) −5.37144 6.73558i −0.321580 0.403249i
\(280\) 0.739739 + 1.23142i 0.0442079 + 0.0735917i
\(281\) −2.52674 + 3.16843i −0.150733 + 0.189013i −0.851465 0.524412i \(-0.824285\pi\)
0.700732 + 0.713424i \(0.252857\pi\)
\(282\) 0.639319 0.197204i 0.0380709 0.0117433i
\(283\) −8.86508 22.5879i −0.526974 1.34271i −0.908320 0.418276i \(-0.862635\pi\)
0.381346 0.924432i \(-0.375461\pi\)
\(284\) 1.77635 23.7037i 0.105407 1.40656i
\(285\) −4.81048 + 12.2569i −0.284948 + 0.726036i
\(286\) 0.00598339 + 0.00288145i 0.000353805 + 0.000170384i
\(287\) −10.3415 + 5.20309i −0.610437 + 0.307129i
\(288\) 0.717727 0.345639i 0.0422925 0.0203670i
\(289\) −1.15222 15.3753i −0.0677777 0.904431i
\(290\) −0.205589 0.0634158i −0.0120726 0.00372391i
\(291\) −3.37427 + 2.30054i −0.197803 + 0.134860i
\(292\) −24.5840 3.70544i −1.43867 0.216844i
\(293\) −11.3054 −0.660469 −0.330234 0.943899i \(-0.607128\pi\)
−0.330234 + 0.943899i \(0.607128\pi\)
\(294\) −0.463639 0.541713i −0.0270400 0.0315933i
\(295\) −33.9302 −1.97549
\(296\) 0.598994 + 0.0902838i 0.0348158 + 0.00524764i
\(297\) 0.384661 0.262258i 0.0223203 0.0152177i
\(298\) −0.767059 0.236606i −0.0444345 0.0137062i
\(299\) −0.362788 4.84107i −0.0209806 0.279966i
\(300\) 10.3687 4.99331i 0.598638 0.288289i
\(301\) −1.65950 + 7.90005i −0.0956517 + 0.455351i
\(302\) 0.893454 + 0.430265i 0.0514125 + 0.0247590i
\(303\) 2.60825 6.64572i 0.149840 0.381786i
\(304\) 0.674065 8.99478i 0.0386603 0.515886i
\(305\) −8.44935 21.5286i −0.483808 1.23272i
\(306\) −0.0799031 + 0.0246468i −0.00456775 + 0.00140897i
\(307\) 15.2479 19.1202i 0.870242 1.09125i −0.124838 0.992177i \(-0.539841\pi\)
0.995080 0.0990722i \(-0.0315875\pi\)
\(308\) 0.601667 + 0.395097i 0.0342832 + 0.0225127i
\(309\) −17.1886 21.5538i −0.977824 1.22615i
\(310\) −0.709032 0.483410i −0.0402703 0.0274558i
\(311\) 6.96692 + 6.46435i 0.395058 + 0.366560i 0.852543 0.522657i \(-0.175059\pi\)
−0.457485 + 0.889217i \(0.651250\pi\)
\(312\) 0.203602 0.352649i 0.0115267 0.0199648i
\(313\) 12.3071 + 21.3166i 0.695641 + 1.20488i 0.969964 + 0.243248i \(0.0782127\pi\)
−0.274324 + 0.961637i \(0.588454\pi\)
\(314\) −0.229621 + 1.00604i −0.0129583 + 0.0567739i
\(315\) −8.20275 + 5.80351i −0.462173 + 0.326991i
\(316\) 0.0444438 + 0.194721i 0.00250016 + 0.0109539i
\(317\) 19.2651 17.8754i 1.08204 1.00398i 0.0820631 0.996627i \(-0.473849\pi\)
0.999973 0.00735556i \(-0.00234137\pi\)
\(318\) 0.452418 0.0681910i 0.0253703 0.00382396i
\(319\) −0.213324 + 0.0321535i −0.0119439 + 0.00180025i
\(320\) −16.2178 + 15.0479i −0.906602 + 0.841203i
\(321\) 0.828350 + 3.62924i 0.0462340 + 0.202564i
\(322\) −0.0359632 + 0.625288i −0.00200415 + 0.0348460i
\(323\) −0.633303 + 2.77468i −0.0352379 + 0.154387i
\(324\) −11.2180 19.4302i −0.623224 1.07945i
\(325\) 1.37896 2.38843i 0.0764911 0.132486i
\(326\) 0.176799 + 0.164046i 0.00979202 + 0.00908566i
\(327\) 5.42507 + 3.69875i 0.300007 + 0.204541i
\(328\) 0.531808 + 0.666866i 0.0293642 + 0.0368215i
\(329\) 12.5318 12.0390i 0.690900 0.663734i
\(330\) −0.0240912 + 0.0302095i −0.00132618 + 0.00166298i
\(331\) −4.25171 + 1.31148i −0.233695 + 0.0720855i −0.409391 0.912359i \(-0.634259\pi\)
0.175696 + 0.984445i \(0.443783\pi\)
\(332\) −6.73102 17.1504i −0.369413 0.941248i
\(333\) −0.316642 + 4.22529i −0.0173519 + 0.231545i
\(334\) −0.382110 + 0.973600i −0.0209081 + 0.0532730i
\(335\) −4.00172 1.92713i −0.218637 0.105290i
\(336\) 13.4335 17.4579i 0.732855 0.952408i
\(337\) −14.8370 + 7.14514i −0.808225 + 0.389221i −0.791904 0.610646i \(-0.790910\pi\)
−0.0163216 + 0.999867i \(0.505196\pi\)
\(338\) −0.00364407 0.0486268i −0.000198211 0.00264495i
\(339\) −24.1881 7.46104i −1.31372 0.405228i
\(340\) 5.78142 3.94170i 0.313541 0.213769i
\(341\) −0.850873 0.128248i −0.0460773 0.00694504i
\(342\) −0.150472 −0.00813658
\(343\) −17.0816 7.15671i −0.922320 0.386426i
\(344\) 0.594772 0.0320679
\(345\) 27.9300 + 4.20977i 1.50370 + 0.226646i
\(346\) −0.222101 + 0.151426i −0.0119402 + 0.00814071i
\(347\) −25.1589 7.76050i −1.35060 0.416606i −0.466757 0.884385i \(-0.654578\pi\)
−0.883845 + 0.467780i \(0.845054\pi\)
\(348\) 0.493969 + 6.59156i 0.0264795 + 0.353345i
\(349\) −18.4370 + 8.87880i −0.986910 + 0.475271i −0.856477 0.516186i \(-0.827351\pi\)
−0.130434 + 0.991457i \(0.541637\pi\)
\(350\) −0.216987 + 0.281993i −0.0115984 + 0.0150732i
\(351\) −3.07990 1.48320i −0.164393 0.0791674i
\(352\) 0.0290689 0.0740664i 0.00154938 0.00394775i
\(353\) −0.851571 + 11.3634i −0.0453246 + 0.604814i 0.927583 + 0.373618i \(0.121883\pi\)
−0.972907 + 0.231196i \(0.925736\pi\)
\(354\) −0.453338 1.15509i −0.0240947 0.0613922i
\(355\) 31.6705 9.76907i 1.68090 0.518488i
\(356\) 4.01951 5.04030i 0.213034 0.267136i
\(357\) −5.01224 + 4.81516i −0.265276 + 0.254845i
\(358\) 0.110308 + 0.138321i 0.00582993 + 0.00731051i
\(359\) −16.5291 11.2693i −0.872372 0.594773i 0.0422392 0.999108i \(-0.486551\pi\)
−0.914611 + 0.404334i \(0.867503\pi\)
\(360\) 0.542708 + 0.503559i 0.0286032 + 0.0265399i
\(361\) 6.93926 12.0192i 0.365224 0.632587i
\(362\) 0.247558 + 0.428783i 0.0130114 + 0.0225363i
\(363\) 5.10446 22.3641i 0.267915 1.17381i
\(364\) 0.303475 5.27649i 0.0159064 0.276563i
\(365\) −7.71365 33.7957i −0.403751 1.76895i
\(366\) 0.620008 0.575283i 0.0324083 0.0300705i
\(367\) 6.72766 1.01403i 0.351181 0.0529320i 0.0289168 0.999582i \(-0.490794\pi\)
0.322264 + 0.946650i \(0.395556\pi\)
\(368\) −19.1332 + 2.88387i −0.997387 + 0.150332i
\(369\) −4.37354 + 4.05805i −0.227677 + 0.211254i
\(370\) 0.0939166 + 0.411476i 0.00488249 + 0.0213916i
\(371\) 9.70126 6.86372i 0.503665 0.356347i
\(372\) −5.86678 + 25.7040i −0.304178 + 1.33269i
\(373\) 10.3948 + 18.0044i 0.538224 + 0.932231i 0.999000 + 0.0447144i \(0.0142378\pi\)
−0.460776 + 0.887516i \(0.652429\pi\)
\(374\) −0.00417590 + 0.00723288i −0.000215931 + 0.000374003i
\(375\) −9.56262 8.87281i −0.493811 0.458190i
\(376\) −1.05789 0.721259i −0.0545567 0.0371961i
\(377\) 0.987646 + 1.23847i 0.0508664 + 0.0637844i
\(378\) 0.368650 + 0.242082i 0.0189613 + 0.0124513i
\(379\) 4.87665 6.11512i 0.250497 0.314113i −0.640646 0.767837i \(-0.721333\pi\)
0.891142 + 0.453724i \(0.149905\pi\)
\(380\) 12.0323 3.71146i 0.617243 0.190394i
\(381\) 3.32426 + 8.47007i 0.170307 + 0.433935i
\(382\) −0.0406684 + 0.542682i −0.00208078 + 0.0277660i
\(383\) −11.4400 + 29.1486i −0.584555 + 1.48942i 0.266230 + 0.963910i \(0.414222\pi\)
−0.850785 + 0.525514i \(0.823873\pi\)
\(384\) −2.92805 1.41007i −0.149421 0.0719576i
\(385\) −0.206318 + 0.982182i −0.0105150 + 0.0500566i
\(386\) 0.469765 0.226227i 0.0239104 0.0115146i
\(387\) 0.310898 + 4.14865i 0.0158038 + 0.210888i
\(388\) 3.73192 + 1.15114i 0.189459 + 0.0584405i
\(389\) −6.82376 + 4.65236i −0.345978 + 0.235884i −0.723824 0.689984i \(-0.757617\pi\)
0.377846 + 0.925869i \(0.376665\pi\)
\(390\) 0.280547 + 0.0422856i 0.0142060 + 0.00214122i
\(391\) 6.10520 0.308753
\(392\) −0.257310 + 1.34008i −0.0129961 + 0.0676840i
\(393\) 22.8858 1.15443
\(394\) 1.15876 + 0.174655i 0.0583773 + 0.00879897i
\(395\) −0.230094 + 0.156875i −0.0115773 + 0.00789325i
\(396\) 0.354478 + 0.109342i 0.0178132 + 0.00549464i
\(397\) −1.24259 16.5812i −0.0623638 0.832188i −0.937428 0.348180i \(-0.886800\pi\)
0.875064 0.484008i \(-0.160819\pi\)
\(398\) 0.176244 0.0848744i 0.00883429 0.00425437i
\(399\) −11.1729 + 5.62141i −0.559345 + 0.281423i
\(400\) −9.90378 4.76941i −0.495189 0.238471i
\(401\) −13.8865 + 35.3822i −0.693458 + 1.76690i −0.0534044 + 0.998573i \(0.517007\pi\)
−0.640054 + 0.768330i \(0.721088\pi\)
\(402\) 0.0121386 0.161979i 0.000605420 0.00807877i
\(403\) 2.30831 + 5.88148i 0.114985 + 0.292978i
\(404\) −6.52393 + 2.01236i −0.324577 + 0.100119i
\(405\) 19.5045 24.4579i 0.969187 1.21532i
\(406\) −0.105239 0.175188i −0.00522292 0.00869446i
\(407\) 0.263866 + 0.330877i 0.0130793 + 0.0164010i
\(408\) 0.423117 + 0.288476i 0.0209474 + 0.0142817i
\(409\) 26.3719 + 24.4696i 1.30401 + 1.20994i 0.962881 + 0.269926i \(0.0869994\pi\)
0.341128 + 0.940017i \(0.389191\pi\)
\(410\) −0.297144 + 0.514668i −0.0146749 + 0.0254177i
\(411\) −6.71599 11.6324i −0.331275 0.573785i
\(412\) −5.86645 + 25.7026i −0.289019 + 1.26628i
\(413\) −24.0031 21.5089i −1.18112 1.05838i
\(414\) 0.0718265 + 0.314693i 0.00353008 + 0.0154663i
\(415\) 18.8311 17.4727i 0.924384 0.857703i
\(416\) −0.577705 + 0.0870750i −0.0283243 + 0.00426920i
\(417\) −15.5195 + 2.33919i −0.759994 + 0.114551i
\(418\) −0.0110172 + 0.0102224i −0.000538868 + 0.000499996i
\(419\) −2.45004 10.7343i −0.119692 0.524406i −0.998853 0.0478808i \(-0.984753\pi\)
0.879161 0.476525i \(-0.158104\pi\)
\(420\) 29.5373 + 8.55280i 1.44127 + 0.417334i
\(421\) −5.96192 + 26.1209i −0.290566 + 1.27305i 0.593173 + 0.805075i \(0.297875\pi\)
−0.883740 + 0.467979i \(0.844982\pi\)
\(422\) −0.422955 0.732580i −0.0205891 0.0356614i
\(423\) 4.47794 7.75603i 0.217725 0.377111i
\(424\) −0.641852 0.595552i −0.0311711 0.0289225i
\(425\) 2.86570 + 1.95380i 0.139007 + 0.0947733i
\(426\) 0.755716 + 0.947638i 0.0366146 + 0.0459132i
\(427\) 7.67004 20.5861i 0.371179 0.996230i
\(428\) 2.21956 2.78324i 0.107286 0.134533i
\(429\) 0.271850 0.0838546i 0.0131250 0.00404854i
\(430\) 0.151398 + 0.385756i 0.00730105 + 0.0186028i
\(431\) 0.867233 11.5724i 0.0417731 0.557424i −0.936576 0.350464i \(-0.886024\pi\)
0.978349 0.206960i \(-0.0663570\pi\)
\(432\) −4.97776 + 12.6831i −0.239492 + 0.610217i
\(433\) 33.9657 + 16.3570i 1.63229 + 0.786069i 0.999935 + 0.0113890i \(0.00362531\pi\)
0.632354 + 0.774680i \(0.282089\pi\)
\(434\) −0.195147 0.791444i −0.00936733 0.0379905i
\(435\) −8.30374 + 3.99887i −0.398134 + 0.191731i
\(436\) −0.469234 6.26149i −0.0224722 0.299871i
\(437\) 10.4983 + 3.23829i 0.502201 + 0.154909i
\(438\) 1.04745 0.714138i 0.0500490 0.0341228i
\(439\) −11.3002 1.70324i −0.539331 0.0812911i −0.126273 0.991996i \(-0.540301\pi\)
−0.413059 + 0.910704i \(0.635540\pi\)
\(440\) 0.0739456 0.00352522
\(441\) −9.48179 1.09430i −0.451514 0.0521097i
\(442\) 0.0613245 0.00291691
\(443\) −4.65977 0.702347i −0.221392 0.0333695i 0.0374092 0.999300i \(-0.488089\pi\)
−0.258802 + 0.965930i \(0.583328\pi\)
\(444\) 10.7138 7.30458i 0.508457 0.346660i
\(445\) 8.58948 + 2.64950i 0.407180 + 0.125599i
\(446\) −0.0231936 0.309497i −0.00109825 0.0146551i
\(447\) −30.9815 + 14.9199i −1.46537 + 0.705687i
\(448\) −21.0120 + 0.364563i −0.992724 + 0.0172240i
\(449\) −5.01072 2.41304i −0.236471 0.113878i 0.311896 0.950116i \(-0.399036\pi\)
−0.548367 + 0.836238i \(0.684750\pi\)
\(450\) −0.0669943 + 0.170699i −0.00315814 + 0.00804681i
\(451\) −0.0445322 + 0.594241i −0.00209694 + 0.0279817i
\(452\) 8.84363 + 22.5332i 0.415969 + 1.05987i
\(453\) 40.5933 12.5214i 1.90724 0.588305i
\(454\) 0.107111 0.134313i 0.00502697 0.00630363i
\(455\) 7.00309 2.29395i 0.328310 0.107542i
\(456\) 0.574565 + 0.720482i 0.0269065 + 0.0337397i
\(457\) 25.5591 + 17.4259i 1.19561 + 0.815150i 0.986663 0.162778i \(-0.0520454\pi\)
0.208943 + 0.977928i \(0.432998\pi\)
\(458\) 0.847595 + 0.786454i 0.0396055 + 0.0367486i
\(459\) 2.14951 3.72306i 0.100330 0.173777i
\(460\) −13.5056 23.3923i −0.629701 1.09067i
\(461\) −1.09427 + 4.79432i −0.0509653 + 0.223294i −0.993997 0.109410i \(-0.965104\pi\)
0.943031 + 0.332704i \(0.107961\pi\)
\(462\) −0.0361931 + 0.00609913i −0.00168385 + 0.000283757i
\(463\) −1.40323 6.14796i −0.0652137 0.285720i 0.931797 0.362979i \(-0.118240\pi\)
−0.997011 + 0.0772591i \(0.975383\pi\)
\(464\) 4.62824 4.29438i 0.214861 0.199361i
\(465\) −36.3505 + 5.47895i −1.68571 + 0.254080i
\(466\) −0.941637 + 0.141929i −0.0436205 + 0.00657473i
\(467\) −14.6512 + 13.5944i −0.677979 + 0.629072i −0.942066 0.335426i \(-0.891120\pi\)
0.264088 + 0.964499i \(0.414929\pi\)
\(468\) −0.606108 2.65553i −0.0280173 0.122752i
\(469\) −1.60928 3.90006i −0.0743099 0.180088i
\(470\) 0.198508 0.869720i 0.00915649 0.0401172i
\(471\) 22.1024 + 38.2824i 1.01842 + 1.76396i
\(472\) −1.18734 + 2.05654i −0.0546520 + 0.0946600i
\(473\) 0.304606 + 0.282633i 0.0140058 + 0.0129955i
\(474\) −0.00841478 0.00573710i −0.000386503 0.000263514i
\(475\) 3.89143 + 4.87970i 0.178551 + 0.223896i
\(476\) 6.58864 + 0.876471i 0.301990 + 0.0401730i
\(477\) 3.81858 4.78835i 0.174841 0.219243i
\(478\) −0.487445 + 0.150357i −0.0222952 + 0.00687716i
\(479\) −2.86197 7.29219i −0.130767 0.333189i 0.850462 0.526037i \(-0.176323\pi\)
−0.981229 + 0.192848i \(0.938227\pi\)
\(480\) 0.254022 3.38969i 0.0115945 0.154717i
\(481\) 1.13529 2.89267i 0.0517647 0.131894i
\(482\) 0.497440 + 0.239555i 0.0226578 + 0.0109114i
\(483\) 17.0898 + 20.6834i 0.777612 + 0.941127i
\(484\) −19.7644 + 9.51802i −0.898380 + 0.432637i
\(485\) 0.406933 + 5.43015i 0.0184779 + 0.246570i
\(486\) 0.615357 + 0.189812i 0.0279132 + 0.00861007i
\(487\) −0.282872 + 0.192859i −0.0128181 + 0.00873925i −0.569712 0.821844i \(-0.692945\pi\)
0.556894 + 0.830584i \(0.311993\pi\)
\(488\) −1.60054 0.241243i −0.0724531 0.0109206i
\(489\) 10.3318 0.467218
\(490\) −0.934641 + 0.174228i −0.0422228 + 0.00787083i
\(491\) −10.9403 −0.493729 −0.246864 0.969050i \(-0.579400\pi\)
−0.246864 + 0.969050i \(0.579400\pi\)
\(492\) 18.0546 + 2.72129i 0.813963 + 0.122685i
\(493\) −1.64596 + 1.12220i −0.0741305 + 0.0505413i
\(494\) 0.105452 + 0.0325275i 0.00474449 + 0.00146348i
\(495\) 0.0386527 + 0.515785i 0.00173731 + 0.0231828i
\(496\) 22.6890 10.9264i 1.01876 0.490611i
\(497\) 28.5974 + 13.1656i 1.28277 + 0.590558i
\(498\) 0.846427 + 0.407618i 0.0379293 + 0.0182658i
\(499\) −3.18544 + 8.11638i −0.142600 + 0.363339i −0.984274 0.176647i \(-0.943475\pi\)
0.841674 + 0.539985i \(0.181570\pi\)
\(500\) −0.932249 + 12.4400i −0.0416914 + 0.556333i
\(501\) 16.3688 + 41.7069i 0.731302 + 1.86333i
\(502\) −1.33283 + 0.411123i −0.0594870 + 0.0183493i
\(503\) −26.6967 + 33.4766i −1.19035 + 1.49265i −0.362232 + 0.932088i \(0.617985\pi\)
−0.828115 + 0.560559i \(0.810586\pi\)
\(504\) 0.0647113 + 0.700263i 0.00288247 + 0.0311922i
\(505\) −5.93518 7.44248i −0.264112 0.331186i
\(506\) 0.0266379 + 0.0181614i 0.00118420 + 0.000807374i
\(507\) −1.53128 1.42082i −0.0680064 0.0631007i
\(508\) 4.35072 7.53566i 0.193032 0.334341i
\(509\) 20.0860 + 34.7900i 0.890297 + 1.54204i 0.839520 + 0.543329i \(0.182836\pi\)
0.0507765 + 0.998710i \(0.483830\pi\)
\(510\) −0.0793957 + 0.347855i −0.00351570 + 0.0154033i
\(511\) 15.9668 28.7978i 0.706331 1.27394i
\(512\) 0.863942 + 3.78518i 0.0381812 + 0.167283i
\(513\) 5.67099 5.26191i 0.250380 0.232319i
\(514\) −0.340835 + 0.0513727i −0.0150336 + 0.00226595i
\(515\) −36.3485 + 5.47865i −1.60171 + 0.241418i
\(516\) 9.33307 8.65982i 0.410865 0.381227i
\(517\) −0.199049 0.872091i −0.00875417 0.0383545i
\(518\) −0.194402 + 0.350624i −0.00854154 + 0.0154055i
\(519\) −2.56238 + 11.2265i −0.112476 + 0.492790i
\(520\) −0.271479 0.470215i −0.0119051 0.0206203i
\(521\) −7.68695 + 13.3142i −0.336771 + 0.583305i −0.983823 0.179141i \(-0.942668\pi\)
0.647052 + 0.762446i \(0.276002\pi\)
\(522\) −0.0772083 0.0716388i −0.00337931 0.00313554i
\(523\) −31.4079 21.4135i −1.37337 0.936348i −0.999962 0.00868126i \(-0.997237\pi\)
−0.373408 0.927667i \(-0.621811\pi\)
\(524\) −13.6455 17.1109i −0.596106 0.747494i
\(525\) 1.40257 + 15.1776i 0.0612130 + 0.662406i
\(526\) 0.729104 0.914268i 0.0317904 0.0398640i
\(527\) −7.59281 + 2.34207i −0.330748 + 0.102022i
\(528\) −0.414260 1.05552i −0.0180283 0.0459355i
\(529\) 0.0424114 0.565941i 0.00184397 0.0246061i
\(530\) 0.222879 0.567887i 0.00968126 0.0246674i
\(531\) −14.9654 7.20697i −0.649444 0.312756i
\(532\) 10.8647 + 5.00187i 0.471045 + 0.216859i
\(533\) 3.94223 1.89848i 0.170757 0.0822323i
\(534\) 0.0245661 + 0.327812i 0.00106308 + 0.0141858i
\(535\) 4.74308 + 1.46305i 0.205061 + 0.0632530i
\(536\) −0.256840 + 0.175111i −0.0110938 + 0.00756362i
\(537\) 7.49420 + 1.12957i 0.323399 + 0.0487445i
\(538\) −1.28192 −0.0552675
\(539\) −0.768577 + 0.564033i −0.0331049 + 0.0242946i
\(540\) −19.0201 −0.818494
\(541\) −42.9515 6.47390i −1.84663 0.278335i −0.869967 0.493110i \(-0.835860\pi\)
−0.976663 + 0.214776i \(0.931098\pi\)
\(542\) 0.607073 0.413895i 0.0260760 0.0177783i
\(543\) 20.2674 + 6.25167i 0.869758 + 0.268285i
\(544\) −0.0549063 0.732673i −0.00235409 0.0314131i
\(545\) 7.88793 3.79863i 0.337882 0.162715i
\(546\) 0.171661 + 0.207757i 0.00734640 + 0.00889119i
\(547\) 25.5774 + 12.3174i 1.09361 + 0.526656i 0.891645 0.452736i \(-0.149552\pi\)
0.201968 + 0.979392i \(0.435266\pi\)
\(548\) −4.69280 + 11.9571i −0.200467 + 0.510781i
\(549\) 0.846083 11.2902i 0.0361099 0.481854i
\(550\) 0.00669143 + 0.0170495i 0.000285323 + 0.000726992i
\(551\) −3.42558 + 1.05665i −0.145934 + 0.0450148i
\(552\) 1.23253 1.54555i 0.0524601 0.0657829i
\(553\) −0.262220 0.0348826i −0.0111507 0.00148336i
\(554\) 0.0180471 + 0.0226304i 0.000766750 + 0.000961474i
\(555\) 14.9384 + 10.1848i 0.634101 + 0.432323i
\(556\) 11.0023 + 10.2087i 0.466603 + 0.432944i
\(557\) −6.00703 + 10.4045i −0.254526 + 0.440852i −0.964767 0.263107i \(-0.915253\pi\)
0.710241 + 0.703959i \(0.248586\pi\)
\(558\) −0.210050 0.363818i −0.00889213 0.0154016i
\(559\) 0.678935 2.97461i 0.0287159 0.125813i
\(560\) −11.2034 27.1512i −0.473431 1.14735i
\(561\) 0.0796121 + 0.348803i 0.00336123 + 0.0147265i
\(562\) −0.144863 + 0.134413i −0.00611068 + 0.00566988i
\(563\) 14.8213 2.23395i 0.624644 0.0941500i 0.170909 0.985287i \(-0.445329\pi\)
0.453735 + 0.891137i \(0.350091\pi\)
\(564\) −27.1018 + 4.08493i −1.14119 + 0.172007i
\(565\) −24.7415 + 22.9568i −1.04088 + 0.965799i
\(566\) −0.263297 1.15358i −0.0110672 0.0484886i
\(567\) 29.3023 4.93792i 1.23058 0.207373i
\(568\) 0.516158 2.26144i 0.0216575 0.0948878i
\(569\) 11.3587 + 19.6739i 0.476183 + 0.824773i 0.999628 0.0272867i \(-0.00868669\pi\)
−0.523445 + 0.852060i \(0.675353\pi\)
\(570\) −0.321034 + 0.556047i −0.0134466 + 0.0232903i
\(571\) 13.8463 + 12.8475i 0.579451 + 0.537652i 0.914520 0.404542i \(-0.132569\pi\)
−0.335068 + 0.942194i \(0.608759\pi\)
\(572\) −0.224784 0.153255i −0.00939869 0.00640792i
\(573\) 14.5351 + 18.2265i 0.607213 + 0.761422i
\(574\) −0.536464 + 0.175726i −0.0223916 + 0.00733464i
\(575\) 8.34774 10.4677i 0.348125 0.436535i
\(576\) −10.3494 + 3.19235i −0.431223 + 0.133015i
\(577\) −3.54565 9.03418i −0.147608 0.376098i 0.837878 0.545858i \(-0.183796\pi\)
−0.985485 + 0.169760i \(0.945701\pi\)
\(578\) 0.0561859 0.749749i 0.00233703 0.0311854i
\(579\) 8.16013 20.7917i 0.339123 0.864072i
\(580\) 7.94087 + 3.82412i 0.329727 + 0.158788i
\(581\) 24.3979 0.423309i 1.01220 0.0175618i
\(582\) −0.179422 + 0.0864050i −0.00743727 + 0.00358160i
\(583\) −0.0457140 0.610011i −0.00189328 0.0252641i
\(584\) −2.31832 0.715107i −0.0959328 0.0295913i
\(585\) 3.13794 2.13941i 0.129738 0.0884536i
\(586\) −0.545129 0.0821650i −0.0225191 0.00339420i
\(587\) 41.3692 1.70749 0.853744 0.520692i \(-0.174326\pi\)
0.853744 + 0.520692i \(0.174326\pi\)
\(588\) 15.4737 + 24.7747i 0.638125 + 1.02169i
\(589\) −14.2986 −0.589164
\(590\) −1.63606 0.246597i −0.0673556 0.0101522i
\(591\) 41.4767 28.2783i 1.70612 1.16321i
\(592\) −11.8353 3.65071i −0.486429 0.150043i
\(593\) −1.49836 19.9942i −0.0615301 0.821062i −0.939544 0.342428i \(-0.888751\pi\)
0.878014 0.478635i \(-0.158868\pi\)
\(594\) 0.0204538 0.00985003i 0.000839230 0.000404152i
\(595\) 2.21865 + 8.99805i 0.0909558 + 0.368884i
\(596\) 29.6276 + 14.2679i 1.21359 + 0.584436i
\(597\) 3.06147 7.80049i 0.125298 0.319253i
\(598\) 0.0176907 0.236065i 0.000723425 0.00965343i
\(599\) −12.6239 32.1652i −0.515799 1.31424i −0.917234 0.398348i \(-0.869584\pi\)
0.401435 0.915887i \(-0.368512\pi\)
\(600\) 1.07315 0.331021i 0.0438110 0.0135139i
\(601\) −16.4324 + 20.6056i −0.670293 + 0.840521i −0.994420 0.105493i \(-0.966358\pi\)
0.324127 + 0.946014i \(0.394929\pi\)
\(602\) −0.137434 + 0.368867i −0.00560139 + 0.0150339i
\(603\) −1.35569 1.69998i −0.0552078 0.0692284i
\(604\) −33.5653 22.8844i −1.36575 0.931153i
\(605\) −22.4216 20.8042i −0.911569 0.845813i
\(606\) 0.174065 0.301490i 0.00707092 0.0122472i
\(607\) −1.21069 2.09698i −0.0491405 0.0851138i 0.840409 0.541953i \(-0.182315\pi\)
−0.889549 + 0.456839i \(0.848982\pi\)
\(608\) 0.294207 1.28900i 0.0119317 0.0522760i
\(609\) −8.40924 2.43497i −0.340760 0.0986701i
\(610\) −0.250950 1.09948i −0.0101607 0.0445168i
\(611\) −4.81479 + 4.46748i −0.194786 + 0.180735i
\(612\) 3.38722 0.510541i 0.136920 0.0206374i
\(613\) 17.0595 2.57131i 0.689028 0.103854i 0.204810 0.978802i \(-0.434342\pi\)
0.484218 + 0.874948i \(0.339104\pi\)
\(614\) 0.874191 0.811130i 0.0352795 0.0327346i
\(615\) 5.66494 + 24.8197i 0.228432 + 1.00083i
\(616\) 0.0523111 + 0.0468754i 0.00210767 + 0.00188866i
\(617\) 1.80244 7.89701i 0.0725636 0.317922i −0.925600 0.378504i \(-0.876439\pi\)
0.998163 + 0.0605823i \(0.0192958\pi\)
\(618\) −0.672159 1.16421i −0.0270382 0.0468315i
\(619\) 7.07243 12.2498i 0.284265 0.492361i −0.688166 0.725554i \(-0.741584\pi\)
0.972431 + 0.233192i \(0.0749171\pi\)
\(620\) 25.7702 + 23.9112i 1.03495 + 0.960297i
\(621\) −13.7116 9.34843i −0.550229 0.375140i
\(622\) 0.288953 + 0.362335i 0.0115859 + 0.0145283i
\(623\) 4.39686 + 7.31934i 0.176157 + 0.293243i
\(624\) −5.19107 + 6.50940i −0.207809 + 0.260585i
\(625\) −29.7981 + 9.19149i −1.19192 + 0.367660i
\(626\) 0.438507 + 1.11730i 0.0175263 + 0.0446562i
\(627\) −0.0481126 + 0.642018i −0.00192143 + 0.0256397i
\(628\) 15.4441 39.3508i 0.616285 1.57027i
\(629\) 3.52095 + 1.69560i 0.140389 + 0.0676080i
\(630\) −0.437703 + 0.220221i −0.0174385 + 0.00877381i
\(631\) −29.8297 + 14.3652i −1.18750 + 0.571871i −0.920088 0.391711i \(-0.871883\pi\)
−0.267414 + 0.963582i \(0.586169\pi\)
\(632\) 0.00145652 + 0.0194358i 5.79371e−5 + 0.000773117i
\(633\) −34.6271 10.6810i −1.37630 0.424533i
\(634\) 1.05885 0.721910i 0.0420522 0.0286707i
\(635\) 11.9970 + 1.80825i 0.476086 + 0.0717584i
\(636\) −18.7430 −0.743209
\(637\) 6.40835 + 2.81658i 0.253908 + 0.111597i
\(638\) −0.0105199 −0.000416485
\(639\) 16.0438 + 2.41821i 0.634682 + 0.0956629i
\(640\) −3.58037 + 2.44105i −0.141527 + 0.0964912i
\(641\) 34.1750 + 10.5416i 1.34983 + 0.416368i 0.883579 0.468283i \(-0.155127\pi\)
0.466254 + 0.884651i \(0.345603\pi\)
\(642\) 0.0135653 + 0.181017i 0.000535380 + 0.00714415i
\(643\) 16.6176 8.00262i 0.655335 0.315593i −0.0765051 0.997069i \(-0.524376\pi\)
0.731840 + 0.681477i \(0.238662\pi\)
\(644\) 5.27460 25.1098i 0.207848 0.989464i
\(645\) 15.9941 + 7.70234i 0.629766 + 0.303279i
\(646\) −0.0507026 + 0.129188i −0.00199487 + 0.00508284i
\(647\) 0.765378 10.2133i 0.0300901 0.401524i −0.961740 0.273962i \(-0.911666\pi\)
0.991831 0.127562i \(-0.0407153\pi\)
\(648\) −0.799879 2.03806i −0.0314222 0.0800625i
\(649\) −1.58534 + 0.489014i −0.0622302 + 0.0191955i
\(650\) 0.0838500 0.105145i 0.00328887 0.00412411i
\(651\) −29.1885 19.1672i −1.14399 0.751223i
\(652\) −6.16024 7.72470i −0.241254 0.302522i
\(653\) 8.99749 + 6.13439i 0.352099 + 0.240057i 0.726434 0.687237i \(-0.241176\pi\)
−0.374335 + 0.927294i \(0.622129\pi\)
\(654\) 0.234707 + 0.217776i 0.00917777 + 0.00851572i
\(655\) 15.2577 26.4271i 0.596168 1.03259i
\(656\) −8.71990 15.1033i −0.340455 0.589685i
\(657\) 3.77618 16.5445i 0.147323 0.645464i
\(658\) 0.691760 0.489426i 0.0269676 0.0190798i
\(659\) −2.71468 11.8938i −0.105749 0.463317i −0.999880 0.0155107i \(-0.995063\pi\)
0.894131 0.447806i \(-0.147795\pi\)
\(660\) 1.16034 1.07664i 0.0451663 0.0419082i
\(661\) −29.6808 + 4.47366i −1.15445 + 0.174005i −0.698238 0.715866i \(-0.746032\pi\)
−0.456212 + 0.889871i \(0.650794\pi\)
\(662\) −0.214543 + 0.0323371i −0.00833844 + 0.00125682i
\(663\) 1.92573 1.78682i 0.0747893 0.0693944i
\(664\) −0.400067 1.75281i −0.0155256 0.0680222i
\(665\) −0.957593 + 16.6495i −0.0371338 + 0.645642i
\(666\) −0.0459764 + 0.201436i −0.00178155 + 0.00780548i
\(667\) 3.84502 + 6.65978i 0.148880 + 0.257868i
\(668\) 21.4231 37.1058i 0.828883 1.43567i
\(669\) −9.74620 9.04315i −0.376810 0.349628i
\(670\) −0.178951 0.122007i −0.00691347 0.00471353i
\(671\) −0.705063 0.884121i −0.0272186 0.0341311i
\(672\) 2.32848 2.23693i 0.0898231 0.0862913i
\(673\) 18.6182 23.3465i 0.717679 0.899941i −0.280525 0.959847i \(-0.590508\pi\)
0.998204 + 0.0599054i \(0.0190799\pi\)
\(674\) −0.767349 + 0.236696i −0.0295572 + 0.00911718i
\(675\) −3.44435 8.77606i −0.132573 0.337791i
\(676\) −0.149282 + 1.99204i −0.00574163 + 0.0766168i
\(677\) −11.1271 + 28.3513i −0.427648 + 1.08963i 0.540963 + 0.841046i \(0.318060\pi\)
−0.968611 + 0.248582i \(0.920035\pi\)
\(678\) −1.11209 0.535553i −0.0427095 0.0205678i
\(679\) −3.15439 + 4.09939i −0.121054 + 0.157320i
\(680\) 0.615203 0.296266i 0.0235920 0.0113613i
\(681\) −0.549957 7.33866i −0.0210744 0.281218i
\(682\) −0.0400957 0.0123679i −0.00153534 0.000473591i
\(683\) −3.91075 + 2.66630i −0.149641 + 0.102023i −0.635826 0.771832i \(-0.719340\pi\)
0.486185 + 0.873856i \(0.338388\pi\)
\(684\) 6.09535 + 0.918726i 0.233062 + 0.0351284i
\(685\) −17.9099 −0.684303
\(686\) −0.771636 0.469231i −0.0294612 0.0179153i
\(687\) 49.5315 1.88975
\(688\) −12.0251 1.81249i −0.458452 0.0691005i
\(689\) −3.71119 + 2.53024i −0.141385 + 0.0963946i
\(690\) 1.31615 + 0.405977i 0.0501048 + 0.0154553i
\(691\) −3.14775 42.0038i −0.119746 1.59790i −0.656610 0.754230i \(-0.728010\pi\)
0.536864 0.843669i \(-0.319609\pi\)
\(692\) 9.92149 4.77794i 0.377158 0.181630i
\(693\) −0.299621 + 0.389383i −0.0113817 + 0.0147914i
\(694\) −1.15672 0.557049i −0.0439086 0.0211453i
\(695\) −7.64554 + 19.4805i −0.290012 + 0.738938i
\(696\) −0.0482036 + 0.643233i −0.00182715 + 0.0243817i
\(697\) 2.01036 + 5.12231i 0.0761478 + 0.194021i
\(698\) −0.953533 + 0.294126i −0.0360918 + 0.0111328i
\(699\) −25.4342 + 31.8935i −0.962012 + 1.20632i
\(700\) 10.5115 10.0982i 0.397298 0.381677i
\(701\) 10.4583 + 13.1142i 0.395003 + 0.495318i 0.939071 0.343723i \(-0.111688\pi\)
−0.544068 + 0.839041i \(0.683117\pi\)
\(702\) −0.137728 0.0939016i −0.00519822 0.00354409i
\(703\) 5.15513 + 4.78326i 0.194430 + 0.180404i
\(704\) −0.540879 + 0.936830i −0.0203852 + 0.0353081i
\(705\) −19.1075 33.0952i −0.719632 1.24644i
\(706\) −0.123648 + 0.541738i −0.00465356 + 0.0203886i
\(707\) 0.519209 9.02742i 0.0195269 0.339511i
\(708\) 11.3114 + 49.5585i 0.425109 + 1.86252i
\(709\) −1.91053 + 1.77271i −0.0717514 + 0.0665756i −0.715233 0.698886i \(-0.753680\pi\)
0.643482 + 0.765461i \(0.277489\pi\)
\(710\) 1.59810 0.240875i 0.0599758 0.00903990i
\(711\) −0.134808 + 0.0203190i −0.00505568 + 0.000762021i
\(712\) 0.461167 0.427900i 0.0172830 0.0160362i
\(713\) 6.82534 + 29.9037i 0.255611 + 1.11990i
\(714\) −0.276678 + 0.195752i −0.0103544 + 0.00732583i
\(715\) 0.0844093 0.369821i 0.00315673 0.0138305i
\(716\) −3.62383 6.27666i −0.135429 0.234570i
\(717\) −10.9260 + 18.9243i −0.408037 + 0.706741i
\(718\) −0.715104 0.663520i −0.0266875 0.0247623i
\(719\) 32.4029 + 22.0919i 1.20842 + 0.823889i 0.988440 0.151614i \(-0.0484472\pi\)
0.219984 + 0.975504i \(0.429400\pi\)
\(720\) −9.43793 11.8348i −0.351731 0.441056i
\(721\) −29.1869 19.1662i −1.08698 0.713785i
\(722\) 0.421953 0.529112i 0.0157035 0.0196915i
\(723\) 22.6007 6.97140i 0.840530 0.259269i
\(724\) −7.41016 18.8808i −0.275396 0.701698i
\(725\) −0.326475 + 4.35651i −0.0121250 + 0.161797i
\(726\) 0.408666 1.04126i 0.0151670 0.0386449i
\(727\) 16.2321 + 7.81698i 0.602016 + 0.289916i 0.709961 0.704241i \(-0.248713\pi\)
−0.107944 + 0.994157i \(0.534427\pi\)
\(728\) 0.106026 0.504738i 0.00392958 0.0187068i
\(729\) −5.50310 + 2.65015i −0.203819 + 0.0981539i
\(730\) −0.126321 1.68564i −0.00467536 0.0623883i
\(731\) 3.66660 + 1.13100i 0.135614 + 0.0418314i
\(732\) −28.6279 + 19.5182i −1.05812 + 0.721413i
\(733\) 6.51840 + 0.982491i 0.240763 + 0.0362891i 0.268315 0.963331i \(-0.413533\pi\)
−0.0275524 + 0.999620i \(0.508771\pi\)
\(734\) 0.331767 0.0122457
\(735\) −24.2734 + 32.7039i −0.895339 + 1.20630i
\(736\) −2.83623 −0.104545
\(737\) −0.214750 0.0323683i −0.00791040 0.00119230i
\(738\) −0.240378 + 0.163887i −0.00884845 + 0.00603277i
\(739\) −40.8934 12.6140i −1.50429 0.464012i −0.570338 0.821410i \(-0.693188\pi\)
−0.933952 + 0.357398i \(0.883664\pi\)
\(740\) −1.29208 17.2416i −0.0474978 0.633814i
\(741\) 4.25919 2.05112i 0.156465 0.0753496i
\(742\) 0.517664 0.260452i 0.0190040 0.00956148i
\(743\) 27.9009 + 13.4364i 1.02359 + 0.492933i 0.868878 0.495027i \(-0.164842\pi\)
0.154709 + 0.987960i \(0.450556\pi\)
\(744\) −0.939954 + 2.39496i −0.0344604 + 0.0878037i
\(745\) −3.42643 + 45.7225i −0.125535 + 1.67514i
\(746\) 0.370371 + 0.943690i 0.0135602 + 0.0345509i
\(747\) 12.0171 3.70677i 0.439681 0.135624i
\(748\) 0.213320 0.267495i 0.00779976 0.00978058i
\(749\) 2.42793 + 4.04172i 0.0887147 + 0.147681i
\(750\) −0.396609 0.497332i −0.0144821 0.0181600i
\(751\) 40.5562 + 27.6507i 1.47992 + 1.00899i 0.990586 + 0.136892i \(0.0437112\pi\)
0.489331 + 0.872098i \(0.337241\pi\)
\(752\) 19.1905 + 17.8062i 0.699806 + 0.649325i
\(753\) −29.8750 + 51.7450i −1.08871 + 1.88569i
\(754\) 0.0386219 + 0.0668951i 0.00140653 + 0.00243617i
\(755\) 12.6042 55.2225i 0.458713 2.00975i
\(756\) −13.4553 12.0572i −0.489365 0.438514i
\(757\) 10.2616 + 44.9590i 0.372964 + 1.63406i 0.718407 + 0.695623i \(0.244872\pi\)
−0.345443 + 0.938440i \(0.612271\pi\)
\(758\) 0.279588 0.259419i 0.0101551 0.00942254i
\(759\) 1.36567 0.205841i 0.0495705 0.00747156i
\(760\) 1.21503 0.183136i 0.0440736 0.00664303i
\(761\) 25.2556 23.4338i 0.915515 0.849474i −0.0734988 0.997295i \(-0.523416\pi\)
0.989014 + 0.147821i \(0.0472260\pi\)
\(762\) 0.0987322 + 0.432574i 0.00357669 + 0.0156705i
\(763\) 7.98815 + 2.31304i 0.289190 + 0.0837378i
\(764\) 4.96083 21.7348i 0.179477 0.786338i
\(765\) 2.38809 + 4.13630i 0.0863416 + 0.149548i
\(766\) −0.763463 + 1.32236i −0.0275850 + 0.0477787i
\(767\) 8.92993 + 8.28577i 0.322441 + 0.299182i
\(768\) 27.2872 + 18.6041i 0.984644 + 0.671319i
\(769\) 21.5521 + 27.0255i 0.777189 + 0.974564i 1.00000 0.000297346i \(-9.46483e-5\pi\)
−0.222811 + 0.974862i \(0.571523\pi\)
\(770\) −0.0170866 + 0.0458598i −0.000615759 + 0.00165267i
\(771\) −9.20619 + 11.5442i −0.331553 + 0.415754i
\(772\) −20.4106 + 6.29585i −0.734595 +