Properties

Label 637.2.bl.a.53.13
Level $637$
Weight $2$
Character 637.53
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 53.13
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.434073 - 0.295946i) q^{2} +(0.0114514 + 0.0106254i) q^{3} +(-0.629847 - 1.60482i) q^{4} +(3.15579 - 0.973431i) q^{5} +(-0.00182622 - 0.00800119i) q^{6} +(0.290350 + 2.62977i) q^{7} +(-0.435349 + 1.90739i) q^{8} +(-0.224172 - 2.99137i) q^{9} +O(q^{10})\) \(q+(-0.434073 - 0.295946i) q^{2} +(0.0114514 + 0.0106254i) q^{3} +(-0.629847 - 1.60482i) q^{4} +(3.15579 - 0.973431i) q^{5} +(-0.00182622 - 0.00800119i) q^{6} +(0.290350 + 2.62977i) q^{7} +(-0.435349 + 1.90739i) q^{8} +(-0.224172 - 2.99137i) q^{9} +(-1.65792 - 0.511402i) q^{10} +(0.374533 - 4.99780i) q^{11} +(0.00983921 - 0.0250699i) q^{12} +(0.900969 - 0.433884i) q^{13} +(0.652237 - 1.22744i) q^{14} +(0.0464814 + 0.0223842i) q^{15} +(-1.77410 + 1.64613i) q^{16} +(2.27014 - 0.342169i) q^{17} +(-0.787976 + 1.36481i) q^{18} +(3.22092 + 5.57880i) q^{19} +(-3.54985 - 4.45137i) q^{20} +(-0.0246174 + 0.0331997i) q^{21} +(-1.64165 + 2.05857i) q^{22} +(-2.99486 - 0.451403i) q^{23} +(-0.0252521 + 0.0172166i) q^{24} +(4.88022 - 3.32728i) q^{25} +(-0.519492 - 0.0783008i) q^{26} +(0.0584370 - 0.0732777i) q^{27} +(4.03744 - 2.12231i) q^{28} +(-3.36162 - 4.21533i) q^{29} +(-0.0135518 - 0.0234724i) q^{30} +(-0.250312 + 0.433553i) q^{31} +(5.12643 - 0.772685i) q^{32} +(0.0573924 - 0.0532524i) q^{33} +(-1.08667 - 0.523313i) q^{34} +(3.47618 + 8.01636i) q^{35} +(-4.65942 + 2.24386i) q^{36} +(3.24368 - 8.26475i) q^{37} +(0.252908 - 3.37482i) q^{38} +(0.0149276 + 0.00460455i) q^{39} +(0.482843 + 6.44309i) q^{40} +(-1.00158 + 4.38821i) q^{41} +(0.0205111 - 0.00712569i) q^{42} +(-0.292136 - 1.27993i) q^{43} +(-8.25648 + 2.54679i) q^{44} +(-3.61933 - 9.22190i) q^{45} +(1.16640 + 1.08226i) q^{46} +(-3.48199 - 2.37398i) q^{47} -0.0378067 q^{48} +(-6.83139 + 1.52711i) q^{49} -3.10307 q^{50} +(0.0296321 + 0.0202028i) q^{51} +(-1.26378 - 1.17262i) q^{52} +(-4.37696 - 11.1523i) q^{53} +(-0.0470522 + 0.0145137i) q^{54} +(-3.68306 - 16.1366i) q^{55} +(-5.14239 - 0.591057i) q^{56} +(-0.0223927 + 0.0981088i) q^{57} +(0.211676 + 2.82462i) q^{58} +(12.3991 + 3.82460i) q^{59} +(0.00664662 - 0.0886930i) q^{60} +(-1.78320 + 4.54352i) q^{61} +(0.236962 - 0.114115i) q^{62} +(7.80153 - 1.45807i) q^{63} +(1.90706 + 0.918392i) q^{64} +(2.42091 - 2.24628i) q^{65} +(-0.0406723 + 0.00613036i) q^{66} +(0.633089 - 1.09654i) q^{67} +(-1.97896 - 3.42766i) q^{68} +(-0.0294991 - 0.0369907i) q^{69} +(0.863491 - 4.50845i) q^{70} +(-1.72860 + 2.16760i) q^{71} +(5.80329 + 0.874705i) q^{72} +(2.41834 - 1.64880i) q^{73} +(-3.85391 + 2.62755i) q^{74} +(0.0912392 + 0.0137521i) q^{75} +(6.92430 - 8.68280i) q^{76} +(13.2518 - 0.466174i) q^{77} +(-0.00511696 - 0.00641646i) q^{78} +(0.610481 + 1.05738i) q^{79} +(-3.99630 + 6.92179i) q^{80} +(-8.89731 + 1.34105i) q^{81} +(1.73343 - 1.60839i) q^{82} +(7.91177 + 3.81011i) q^{83} +(0.0687849 + 0.0185958i) q^{84} +(6.83100 - 3.28964i) q^{85} +(-0.251982 + 0.642040i) q^{86} +(0.00629419 - 0.0839901i) q^{87} +(9.36968 + 2.89016i) q^{88} +(0.387876 + 5.17585i) q^{89} +(-1.15813 + 5.07410i) q^{90} +(1.40261 + 2.24336i) q^{91} +(1.16188 + 5.09054i) q^{92} +(-0.00747309 + 0.00230514i) q^{93} +(0.808868 + 2.06096i) q^{94} +(15.5951 + 14.4701i) q^{95} +(0.0669150 + 0.0456219i) q^{96} -5.70005 q^{97} +(3.41726 + 1.35885i) q^{98} -15.0342 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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.434073 0.295946i −0.306936 0.209265i 0.400049 0.916494i \(-0.368993\pi\)
−0.706985 + 0.707228i \(0.749945\pi\)
\(3\) 0.0114514 + 0.0106254i 0.00661149 + 0.00613457i 0.683472 0.729977i \(-0.260469\pi\)
−0.676860 + 0.736112i \(0.736660\pi\)
\(4\) −0.629847 1.60482i −0.314923 0.802412i
\(5\) 3.15579 0.973431i 1.41131 0.435332i 0.506904 0.862003i \(-0.330790\pi\)
0.904407 + 0.426671i \(0.140314\pi\)
\(6\) −0.00182622 0.00800119i −0.000745551 0.00326647i
\(7\) 0.290350 + 2.62977i 0.109742 + 0.993960i
\(8\) −0.435349 + 1.90739i −0.153919 + 0.674363i
\(9\) −0.224172 2.99137i −0.0747240 0.997123i
\(10\) −1.65792 0.511402i −0.524281 0.161719i
\(11\) 0.374533 4.99780i 0.112926 1.50689i −0.596786 0.802400i \(-0.703556\pi\)
0.709712 0.704492i \(-0.248825\pi\)
\(12\) 0.00983921 0.0250699i 0.00284034 0.00723706i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) 0.652237 1.22744i 0.174318 0.328047i
\(15\) 0.0464814 + 0.0223842i 0.0120014 + 0.00577959i
\(16\) −1.77410 + 1.64613i −0.443526 + 0.411532i
\(17\) 2.27014 0.342169i 0.550590 0.0829881i 0.132145 0.991230i \(-0.457813\pi\)
0.418445 + 0.908242i \(0.362575\pi\)
\(18\) −0.787976 + 1.36481i −0.185728 + 0.321690i
\(19\) 3.22092 + 5.57880i 0.738930 + 1.27986i 0.952978 + 0.303041i \(0.0980019\pi\)
−0.214048 + 0.976823i \(0.568665\pi\)
\(20\) −3.54985 4.45137i −0.793770 0.995356i
\(21\) −0.0246174 + 0.0331997i −0.00537196 + 0.00724478i
\(22\) −1.64165 + 2.05857i −0.350001 + 0.438888i
\(23\) −2.99486 0.451403i −0.624471 0.0941239i −0.170819 0.985302i \(-0.554641\pi\)
−0.453653 + 0.891179i \(0.649879\pi\)
\(24\) −0.0252521 + 0.0172166i −0.00515456 + 0.00351432i
\(25\) 4.88022 3.32728i 0.976044 0.665456i
\(26\) −0.519492 0.0783008i −0.101881 0.0153561i
\(27\) 0.0584370 0.0732777i 0.0112462 0.0141023i
\(28\) 4.03744 2.12231i 0.763005 0.401080i
\(29\) −3.36162 4.21533i −0.624236 0.782768i 0.364697 0.931126i \(-0.381172\pi\)
−0.988934 + 0.148359i \(0.952601\pi\)
\(30\) −0.0135518 0.0234724i −0.00247420 0.00428545i
\(31\) −0.250312 + 0.433553i −0.0449573 + 0.0778683i −0.887628 0.460560i \(-0.847649\pi\)
0.842671 + 0.538429i \(0.180982\pi\)
\(32\) 5.12643 0.772685i 0.906233 0.136593i
\(33\) 0.0573924 0.0532524i 0.00999074 0.00927005i
\(34\) −1.08667 0.523313i −0.186362 0.0897474i
\(35\) 3.47618 + 8.01636i 0.587582 + 1.35501i
\(36\) −4.65942 + 2.24386i −0.776571 + 0.373977i
\(37\) 3.24368 8.26475i 0.533257 1.35872i −0.369766 0.929125i \(-0.620562\pi\)
0.903023 0.429592i \(-0.141343\pi\)
\(38\) 0.252908 3.37482i 0.0410271 0.547469i
\(39\) 0.0149276 + 0.00460455i 0.00239032 + 0.000737317i
\(40\) 0.482843 + 6.44309i 0.0763441 + 1.01874i
\(41\) −1.00158 + 4.38821i −0.156420 + 0.685323i 0.834515 + 0.550985i \(0.185748\pi\)
−0.990936 + 0.134338i \(0.957109\pi\)
\(42\) 0.0205111 0.00712569i 0.00316493 0.00109952i
\(43\) −0.292136 1.27993i −0.0445504 0.195188i 0.947756 0.318997i \(-0.103346\pi\)
−0.992306 + 0.123809i \(0.960489\pi\)
\(44\) −8.25648 + 2.54679i −1.24471 + 0.383942i
\(45\) −3.61933 9.22190i −0.539538 1.37472i
\(46\) 1.16640 + 1.08226i 0.171976 + 0.159570i
\(47\) −3.48199 2.37398i −0.507901 0.346281i 0.282102 0.959385i \(-0.408968\pi\)
−0.790003 + 0.613104i \(0.789921\pi\)
\(48\) −0.0378067 −0.00545693
\(49\) −6.83139 + 1.52711i −0.975913 + 0.218158i
\(50\) −3.10307 −0.438840
\(51\) 0.0296321 + 0.0202028i 0.00414932 + 0.00282896i
\(52\) −1.26378 1.17262i −0.175255 0.162613i
\(53\) −4.37696 11.1523i −0.601221 1.53189i −0.829626 0.558320i \(-0.811446\pi\)
0.228405 0.973566i \(-0.426649\pi\)
\(54\) −0.0470522 + 0.0145137i −0.00640299 + 0.00197506i
\(55\) −3.68306 16.1366i −0.496624 2.17585i
\(56\) −5.14239 0.591057i −0.687181 0.0789834i
\(57\) −0.0223927 + 0.0981088i −0.00296598 + 0.0129948i
\(58\) 0.211676 + 2.82462i 0.0277944 + 0.370890i
\(59\) 12.3991 + 3.82460i 1.61422 + 0.497921i 0.964905 0.262599i \(-0.0845796\pi\)
0.649315 + 0.760520i \(0.275056\pi\)
\(60\) 0.00664662 0.0886930i 0.000858075 0.0114502i
\(61\) −1.78320 + 4.54352i −0.228316 + 0.581739i −0.998421 0.0561783i \(-0.982108\pi\)
0.770105 + 0.637917i \(0.220204\pi\)
\(62\) 0.236962 0.114115i 0.0300942 0.0144926i
\(63\) 7.80153 1.45807i 0.982900 0.183699i
\(64\) 1.90706 + 0.918392i 0.238383 + 0.114799i
\(65\) 2.42091 2.24628i 0.300277 0.278616i
\(66\) −0.0406723 + 0.00613036i −0.00500642 + 0.000754596i
\(67\) 0.633089 1.09654i 0.0773441 0.133964i −0.824759 0.565484i \(-0.808689\pi\)
0.902103 + 0.431520i \(0.142023\pi\)
\(68\) −1.97896 3.42766i −0.239984 0.415665i
\(69\) −0.0294991 0.0369907i −0.00355128 0.00445316i
\(70\) 0.863491 4.50845i 0.103207 0.538862i
\(71\) −1.72860 + 2.16760i −0.205147 + 0.257246i −0.873752 0.486371i \(-0.838320\pi\)
0.668605 + 0.743618i \(0.266892\pi\)
\(72\) 5.80329 + 0.874705i 0.683924 + 0.103085i
\(73\) 2.41834 1.64880i 0.283045 0.192977i −0.413472 0.910517i \(-0.635684\pi\)
0.696518 + 0.717540i \(0.254732\pi\)
\(74\) −3.85391 + 2.62755i −0.448008 + 0.305447i
\(75\) 0.0912392 + 0.0137521i 0.0105354 + 0.00158795i
\(76\) 6.92430 8.68280i 0.794272 0.995985i
\(77\) 13.2518 0.466174i 1.51018 0.0531255i
\(78\) −0.00511696 0.00641646i −0.000579381 0.000726521i
\(79\) 0.610481 + 1.05738i 0.0686845 + 0.118965i 0.898322 0.439337i \(-0.144786\pi\)
−0.829638 + 0.558302i \(0.811453\pi\)
\(80\) −3.99630 + 6.92179i −0.446799 + 0.773879i
\(81\) −8.89731 + 1.34105i −0.988590 + 0.149006i
\(82\) 1.73343 1.60839i 0.191425 0.177617i
\(83\) 7.91177 + 3.81011i 0.868429 + 0.418213i 0.814385 0.580325i \(-0.197075\pi\)
0.0540443 + 0.998539i \(0.482789\pi\)
\(84\) 0.0687849 + 0.0185958i 0.00750505 + 0.00202897i
\(85\) 6.83100 3.28964i 0.740926 0.356811i
\(86\) −0.251982 + 0.642040i −0.0271719 + 0.0692330i
\(87\) 0.00629419 0.0839901i 0.000674807 0.00900468i
\(88\) 9.36968 + 2.89016i 0.998811 + 0.308092i
\(89\) 0.387876 + 5.17585i 0.0411148 + 0.548639i 0.979288 + 0.202472i \(0.0648976\pi\)
−0.938173 + 0.346166i \(0.887483\pi\)
\(90\) −1.15813 + 5.07410i −0.122078 + 0.534857i
\(91\) 1.40261 + 2.24336i 0.147034 + 0.235168i
\(92\) 1.16188 + 5.09054i 0.121135 + 0.530725i
\(93\) −0.00747309 + 0.00230514i −0.000774923 + 0.000239032i
\(94\) 0.808868 + 2.06096i 0.0834284 + 0.212572i
\(95\) 15.5951 + 14.4701i 1.60002 + 1.48461i
\(96\) 0.0669150 + 0.0456219i 0.00682949 + 0.00465627i
\(97\) −5.70005 −0.578752 −0.289376 0.957215i \(-0.593448\pi\)
−0.289376 + 0.957215i \(0.593448\pi\)
\(98\) 3.41726 + 1.35885i 0.345196 + 0.137264i
\(99\) −15.0342 −1.51099
\(100\) −8.41349 5.73622i −0.841349 0.573622i
\(101\) 1.74096 + 1.61538i 0.173232 + 0.160736i 0.762024 0.647549i \(-0.224206\pi\)
−0.588792 + 0.808285i \(0.700396\pi\)
\(102\) −0.00688354 0.0175390i −0.000681572 0.00173662i
\(103\) −5.41215 + 1.66943i −0.533275 + 0.164493i −0.549685 0.835372i \(-0.685252\pi\)
0.0164106 + 0.999865i \(0.494776\pi\)
\(104\) 0.435349 + 1.90739i 0.0426894 + 0.187035i
\(105\) −0.0453696 + 0.128735i −0.00442762 + 0.0125632i
\(106\) −1.40056 + 6.13625i −0.136034 + 0.596006i
\(107\) −0.937744 12.5133i −0.0906551 1.20971i −0.838150 0.545440i \(-0.816362\pi\)
0.747494 0.664268i \(-0.231257\pi\)
\(108\) −0.154404 0.0476274i −0.0148576 0.00458295i
\(109\) −0.907198 + 12.1057i −0.0868938 + 1.15952i 0.767907 + 0.640561i \(0.221298\pi\)
−0.854801 + 0.518956i \(0.826321\pi\)
\(110\) −3.17683 + 8.09443i −0.302899 + 0.771773i
\(111\) 0.124961 0.0601780i 0.0118608 0.00571184i
\(112\) −4.84405 4.18753i −0.457719 0.395684i
\(113\) 16.8669 + 8.12266i 1.58670 + 0.764116i 0.998989 0.0449532i \(-0.0143139\pi\)
0.587714 + 0.809069i \(0.300028\pi\)
\(114\) 0.0387549 0.0359593i 0.00362973 0.00336790i
\(115\) −9.89055 + 1.49076i −0.922298 + 0.139014i
\(116\) −4.64756 + 8.04981i −0.431515 + 0.747406i
\(117\) −1.49988 2.59786i −0.138664 0.240173i
\(118\) −4.25022 5.32961i −0.391264 0.490630i
\(119\) 1.55896 + 5.87060i 0.142910 + 0.538157i
\(120\) −0.0629310 + 0.0789130i −0.00574479 + 0.00720374i
\(121\) −13.9605 2.10421i −1.26914 0.191292i
\(122\) 2.11868 1.44449i 0.191816 0.130778i
\(123\) −0.0580959 + 0.0396091i −0.00523833 + 0.00357143i
\(124\) 0.853433 + 0.128634i 0.0766406 + 0.0115517i
\(125\) 1.86666 2.34072i 0.166959 0.209360i
\(126\) −3.81794 1.67592i −0.340129 0.149303i
\(127\) 12.9577 + 16.2484i 1.14981 + 1.44181i 0.877483 + 0.479608i \(0.159221\pi\)
0.272325 + 0.962205i \(0.412207\pi\)
\(128\) −5.74034 9.94256i −0.507379 0.878807i
\(129\) 0.0102544 0.0177611i 0.000902849 0.00156378i
\(130\) −1.71563 + 0.258589i −0.150470 + 0.0226798i
\(131\) −9.71602 + 9.01515i −0.848892 + 0.787657i −0.979004 0.203842i \(-0.934657\pi\)
0.130111 + 0.991499i \(0.458467\pi\)
\(132\) −0.121609 0.0585639i −0.0105847 0.00509733i
\(133\) −13.7358 + 10.0901i −1.19104 + 0.874922i
\(134\) −0.599324 + 0.288619i −0.0517737 + 0.0249329i
\(135\) 0.113084 0.288133i 0.00973272 0.0247986i
\(136\) −0.335655 + 4.47900i −0.0287822 + 0.384071i
\(137\) −8.04501 2.48156i −0.687331 0.212014i −0.0686326 0.997642i \(-0.521864\pi\)
−0.618699 + 0.785628i \(0.712340\pi\)
\(138\) 0.00185752 + 0.0247868i 0.000158122 + 0.00210999i
\(139\) −4.27315 + 18.7219i −0.362444 + 1.58797i 0.384528 + 0.923113i \(0.374364\pi\)
−0.746972 + 0.664856i \(0.768493\pi\)
\(140\) 10.6754 10.6277i 0.902234 0.898208i
\(141\) −0.0146494 0.0641830i −0.00123370 0.00540519i
\(142\) 1.39183 0.429323i 0.116800 0.0360280i
\(143\) −1.83102 4.66536i −0.153118 0.390137i
\(144\) 5.32187 + 4.93798i 0.443489 + 0.411498i
\(145\) −14.7119 10.0304i −1.22175 0.832978i
\(146\) −1.53769 −0.127260
\(147\) −0.0944554 0.0550986i −0.00779055 0.00454445i
\(148\) −15.3065 −1.25819
\(149\) 8.59098 + 5.85723i 0.703800 + 0.479843i 0.861574 0.507632i \(-0.169479\pi\)
−0.157773 + 0.987475i \(0.550432\pi\)
\(150\) −0.0355346 0.0329713i −0.00290139 0.00269209i
\(151\) 3.80083 + 9.68436i 0.309307 + 0.788102i 0.998010 + 0.0630579i \(0.0200853\pi\)
−0.688703 + 0.725044i \(0.741819\pi\)
\(152\) −12.0432 + 3.71482i −0.976829 + 0.301312i
\(153\) −1.53245 6.71412i −0.123892 0.542805i
\(154\) −5.89021 3.71946i −0.474647 0.299723i
\(155\) −0.367897 + 1.61186i −0.0295502 + 0.129468i
\(156\) −0.00201260 0.0268563i −0.000161137 0.00215022i
\(157\) 18.9485 + 5.84482i 1.51225 + 0.466468i 0.936355 0.351055i \(-0.114177\pi\)
0.575896 + 0.817523i \(0.304653\pi\)
\(158\) 0.0479352 0.639651i 0.00381352 0.0508879i
\(159\) 0.0683750 0.174217i 0.00542249 0.0138163i
\(160\) 15.4258 7.42865i 1.21951 0.587286i
\(161\) 0.317528 8.00686i 0.0250247 0.631029i
\(162\) 4.25896 + 2.05101i 0.334615 + 0.161142i
\(163\) −14.1082 + 13.0905i −1.10504 + 1.02533i −0.105517 + 0.994417i \(0.533650\pi\)
−0.999522 + 0.0309092i \(0.990160\pi\)
\(164\) 7.67314 1.15654i 0.599171 0.0903106i
\(165\) 0.129281 0.223921i 0.0100645 0.0174322i
\(166\) −2.30670 3.99532i −0.179034 0.310097i
\(167\) 2.52050 + 3.16061i 0.195042 + 0.244575i 0.869730 0.493528i \(-0.164293\pi\)
−0.674687 + 0.738104i \(0.735722\pi\)
\(168\) −0.0526076 0.0614084i −0.00405876 0.00473776i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −3.93871 0.593665i −0.302085 0.0455320i
\(171\) 15.9662 10.8856i 1.22097 0.832440i
\(172\) −1.87006 + 1.27499i −0.142591 + 0.0972170i
\(173\) 14.1011 + 2.12540i 1.07209 + 0.161591i 0.661287 0.750133i \(-0.270011\pi\)
0.410802 + 0.911725i \(0.365249\pi\)
\(174\) −0.0275886 + 0.0345951i −0.00209149 + 0.00262264i
\(175\) 10.1670 + 11.8678i 0.768550 + 0.897121i
\(176\) 7.56254 + 9.48313i 0.570048 + 0.714818i
\(177\) 0.101349 + 0.175542i 0.00761787 + 0.0131945i
\(178\) 1.36340 2.36148i 0.102191 0.177001i
\(179\) 12.3450 1.86071i 0.922707 0.139076i 0.329527 0.944146i \(-0.393111\pi\)
0.593179 + 0.805070i \(0.297873\pi\)
\(180\) −12.5199 + 11.6168i −0.933178 + 0.865863i
\(181\) −16.2500 7.82558i −1.20785 0.581671i −0.281948 0.959430i \(-0.590980\pi\)
−0.925904 + 0.377759i \(0.876695\pi\)
\(182\) 0.0550787 1.38888i 0.00408271 0.102951i
\(183\) −0.0686969 + 0.0330827i −0.00507822 + 0.00244554i
\(184\) 2.16481 5.51584i 0.159592 0.406633i
\(185\) 2.19118 29.2393i 0.161099 2.14971i
\(186\) 0.00392606 + 0.00121103i 0.000287873 + 8.87970e-5i
\(187\) −0.859847 11.4739i −0.0628782 0.839051i
\(188\) −1.61670 + 7.08323i −0.117910 + 0.516598i
\(189\) 0.209671 + 0.132400i 0.0152513 + 0.00963067i
\(190\) −2.48703 10.8964i −0.180428 0.790508i
\(191\) −10.1253 + 3.12325i −0.732643 + 0.225990i −0.638558 0.769574i \(-0.720469\pi\)
−0.0940849 + 0.995564i \(0.529993\pi\)
\(192\) 0.0120803 + 0.0307801i 0.000871822 + 0.00222137i
\(193\) −2.91694 2.70652i −0.209966 0.194820i 0.568179 0.822905i \(-0.307648\pi\)
−0.778144 + 0.628086i \(0.783839\pi\)
\(194\) 2.47424 + 1.68691i 0.177640 + 0.121113i
\(195\) 0.0515904 0.00369447
\(196\) 6.75347 + 10.0013i 0.482391 + 0.714381i
\(197\) 8.87070 0.632011 0.316006 0.948757i \(-0.397658\pi\)
0.316006 + 0.948757i \(0.397658\pi\)
\(198\) 6.52594 + 4.44931i 0.463778 + 0.316199i
\(199\) 7.54148 + 6.99747i 0.534602 + 0.496038i 0.900642 0.434561i \(-0.143096\pi\)
−0.366041 + 0.930599i \(0.619287\pi\)
\(200\) 4.22181 + 10.7570i 0.298527 + 0.760635i
\(201\) 0.0189010 0.00583017i 0.00133317 0.000411229i
\(202\) −0.277641 1.21642i −0.0195347 0.0855872i
\(203\) 10.1093 10.0642i 0.709535 0.706368i
\(204\) 0.0137583 0.0602789i 0.000963271 0.00422037i
\(205\) 1.11085 + 14.8232i 0.0775848 + 1.03530i
\(206\) 2.84332 + 0.877049i 0.198104 + 0.0611069i
\(207\) −0.678947 + 9.05992i −0.0471901 + 0.629708i
\(208\) −0.884183 + 2.25286i −0.0613071 + 0.156208i
\(209\) 29.0880 14.0081i 2.01206 0.968958i
\(210\) 0.0577922 0.0424533i 0.00398804 0.00292955i
\(211\) 0.498228 + 0.239934i 0.0342994 + 0.0165177i 0.450955 0.892547i \(-0.351084\pi\)
−0.416655 + 0.909064i \(0.636798\pi\)
\(212\) −15.1407 + 14.0485i −1.03986 + 0.964854i
\(213\) −0.0428265 + 0.00645506i −0.00293442 + 0.000442293i
\(214\) −3.29622 + 5.70921i −0.225325 + 0.390274i
\(215\) −2.16785 3.75482i −0.147846 0.256076i
\(216\) 0.114329 + 0.143363i 0.00777907 + 0.00975464i
\(217\) −1.21282 0.532381i −0.0823317 0.0361403i
\(218\) 3.97643 4.98628i 0.269318 0.337714i
\(219\) 0.0452125 + 0.00681469i 0.00305518 + 0.000460494i
\(220\) −23.5766 + 16.0742i −1.58953 + 1.08372i
\(221\) 1.89687 1.29326i 0.127597 0.0869941i
\(222\) −0.0720515 0.0108600i −0.00483578 0.000728877i
\(223\) 2.27819 2.85676i 0.152559 0.191303i −0.699679 0.714457i \(-0.746674\pi\)
0.852238 + 0.523155i \(0.175245\pi\)
\(224\) 3.52044 + 13.2570i 0.235219 + 0.885769i
\(225\) −11.0471 13.8527i −0.736475 0.923511i
\(226\) −4.91759 8.51751i −0.327113 0.566576i
\(227\) 7.38938 12.7988i 0.490450 0.849485i −0.509489 0.860477i \(-0.670166\pi\)
0.999940 + 0.0109922i \(0.00349901\pi\)
\(228\) 0.171551 0.0258572i 0.0113613 0.00171243i
\(229\) 13.4443 12.4745i 0.888424 0.824337i −0.0968540 0.995299i \(-0.530878\pi\)
0.985278 + 0.170962i \(0.0546875\pi\)
\(230\) 4.73440 + 2.27997i 0.312177 + 0.150337i
\(231\) 0.156705 + 0.135467i 0.0103105 + 0.00891308i
\(232\) 9.50374 4.57676i 0.623951 0.300479i
\(233\) −7.40406 + 18.8652i −0.485056 + 1.23590i 0.453649 + 0.891180i \(0.350122\pi\)
−0.938705 + 0.344722i \(0.887973\pi\)
\(234\) −0.117771 + 1.57155i −0.00769893 + 0.102735i
\(235\) −13.2993 4.10230i −0.867553 0.267605i
\(236\) −1.67169 22.3072i −0.108818 1.45208i
\(237\) −0.00424422 + 0.0185952i −0.000275692 + 0.00120789i
\(238\) 1.06068 3.00964i 0.0687535 0.195086i
\(239\) 4.97901 + 21.8145i 0.322065 + 1.41106i 0.833871 + 0.551960i \(0.186120\pi\)
−0.511805 + 0.859101i \(0.671023\pi\)
\(240\) −0.119310 + 0.0368022i −0.00770142 + 0.00237557i
\(241\) −10.2506 26.1180i −0.660297 1.68241i −0.728772 0.684756i \(-0.759909\pi\)
0.0684757 0.997653i \(-0.478186\pi\)
\(242\) 5.43716 + 5.04495i 0.349514 + 0.324301i
\(243\) −0.348456 0.237573i −0.0223534 0.0152403i
\(244\) 8.41470 0.538696
\(245\) −20.0719 + 11.4691i −1.28235 + 0.732735i
\(246\) 0.0369400 0.00235521
\(247\) 5.32250 + 3.62882i 0.338663 + 0.230896i
\(248\) −0.717980 0.666188i −0.0455918 0.0423030i
\(249\) 0.0501173 + 0.127697i 0.00317605 + 0.00809245i
\(250\) −1.50299 + 0.463612i −0.0950577 + 0.0293214i
\(251\) −2.19866 9.63297i −0.138778 0.608028i −0.995704 0.0925885i \(-0.970486\pi\)
0.856926 0.515439i \(-0.172371\pi\)
\(252\) −7.25370 11.6017i −0.456940 0.730839i
\(253\) −3.37769 + 14.7986i −0.212354 + 0.930382i
\(254\) −0.815925 10.8878i −0.0511957 0.683159i
\(255\) 0.113178 + 0.0349109i 0.00708751 + 0.00218621i
\(256\) −0.134375 + 1.79311i −0.00839844 + 0.112069i
\(257\) −9.66200 + 24.6184i −0.602699 + 1.53565i 0.224929 + 0.974375i \(0.427785\pi\)
−0.827628 + 0.561277i \(0.810310\pi\)
\(258\) −0.00970748 + 0.00467488i −0.000604361 + 0.000291045i
\(259\) 22.6762 + 6.13045i 1.40903 + 0.380928i
\(260\) −5.12968 2.47032i −0.318129 0.153203i
\(261\) −11.8560 + 11.0008i −0.733870 + 0.680932i
\(262\) 6.88545 1.03782i 0.425385 0.0641164i
\(263\) 11.8665 20.5534i 0.731721 1.26738i −0.224426 0.974491i \(-0.572051\pi\)
0.956147 0.292887i \(-0.0946159\pi\)
\(264\) 0.0765872 + 0.132653i 0.00471362 + 0.00816422i
\(265\) −24.6687 30.9336i −1.51539 1.90024i
\(266\) 8.94844 0.314790i 0.548664 0.0193010i
\(267\) −0.0505536 + 0.0633922i −0.00309383 + 0.00387954i
\(268\) −2.15851 0.325342i −0.131852 0.0198734i
\(269\) 9.93508 6.77362i 0.605752 0.412995i −0.221231 0.975221i \(-0.571007\pi\)
0.826983 + 0.562226i \(0.190055\pi\)
\(270\) −0.134359 + 0.0916041i −0.00817680 + 0.00557485i
\(271\) −25.7535 3.88171i −1.56441 0.235797i −0.691028 0.722828i \(-0.742842\pi\)
−0.873385 + 0.487030i \(0.838080\pi\)
\(272\) −3.46421 + 4.34398i −0.210049 + 0.263393i
\(273\) −0.00777468 + 0.0405930i −0.000470545 + 0.00245680i
\(274\) 2.75771 + 3.45806i 0.166599 + 0.208909i
\(275\) −14.8013 25.6365i −0.892549 1.54594i
\(276\) −0.0407837 + 0.0706394i −0.00245489 + 0.00425199i
\(277\) 19.9477 3.00663i 1.19854 0.180651i 0.480717 0.876876i \(-0.340376\pi\)
0.717824 + 0.696225i \(0.245138\pi\)
\(278\) 7.39552 6.86204i 0.443554 0.411558i
\(279\) 1.35303 + 0.651584i 0.0810037 + 0.0390093i
\(280\) −16.8037 + 3.14052i −1.00421 + 0.187682i
\(281\) −22.6753 + 10.9199i −1.35270 + 0.651424i −0.962996 0.269517i \(-0.913136\pi\)
−0.389701 + 0.920941i \(0.627422\pi\)
\(282\) −0.0126358 + 0.0321955i −0.000752451 + 0.00191722i
\(283\) −1.02849 + 13.7243i −0.0611374 + 0.815822i 0.879389 + 0.476103i \(0.157951\pi\)
−0.940527 + 0.339719i \(0.889668\pi\)
\(284\) 4.56736 + 1.40885i 0.271023 + 0.0835996i
\(285\) 0.0248356 + 0.331408i 0.00147113 + 0.0196309i
\(286\) −0.585899 + 2.56699i −0.0346449 + 0.151789i
\(287\) −11.8308 1.35981i −0.698349 0.0802670i
\(288\) −3.46059 15.1618i −0.203917 0.893419i
\(289\) −11.2083 + 3.45729i −0.659310 + 0.203370i
\(290\) 3.41757 + 8.70784i 0.200687 + 0.511342i
\(291\) −0.0652737 0.0605652i −0.00382641 0.00355039i
\(292\) −4.16921 2.84252i −0.243984 0.166346i
\(293\) −5.45660 −0.318778 −0.159389 0.987216i \(-0.550952\pi\)
−0.159389 + 0.987216i \(0.550952\pi\)
\(294\) 0.0246943 + 0.0518705i 0.00144020 + 0.00302515i
\(295\) 42.8518 2.49493
\(296\) 14.3519 + 9.78499i 0.834190 + 0.568741i
\(297\) −0.344341 0.319501i −0.0199807 0.0185393i
\(298\) −1.99569 5.08493i −0.115607 0.294562i
\(299\) −2.89413 + 0.892721i −0.167372 + 0.0516274i
\(300\) −0.0353970 0.155084i −0.00204365 0.00895381i
\(301\) 3.28111 1.13988i 0.189120 0.0657016i
\(302\) 1.21621 5.32856i 0.0699849 0.306624i
\(303\) 0.00277253 + 0.0369968i 0.000159278 + 0.00212541i
\(304\) −14.8976 4.59532i −0.854439 0.263559i
\(305\) −1.20460 + 16.0742i −0.0689750 + 0.920407i
\(306\) −1.32182 + 3.36794i −0.0755634 + 0.192532i
\(307\) −14.9628 + 7.20572i −0.853974 + 0.411252i −0.809051 0.587738i \(-0.800018\pi\)
−0.0449227 + 0.998990i \(0.514304\pi\)
\(308\) −9.09473 20.9732i −0.518221 1.19506i
\(309\) −0.0797151 0.0383888i −0.00453484 0.00218386i
\(310\) 0.636717 0.590787i 0.0361631 0.0335545i
\(311\) 31.2133 4.70465i 1.76994 0.266776i 0.818480 0.574535i \(-0.194817\pi\)
0.951464 + 0.307759i \(0.0995792\pi\)
\(312\) −0.0152813 + 0.0264681i −0.000865136 + 0.00149846i
\(313\) 7.81520 + 13.5363i 0.441741 + 0.765118i 0.997819 0.0660120i \(-0.0210276\pi\)
−0.556077 + 0.831130i \(0.687694\pi\)
\(314\) −6.49526 8.14479i −0.366549 0.459637i
\(315\) 23.2006 12.1956i 1.30721 0.687144i
\(316\) 1.31241 1.64570i 0.0738286 0.0925781i
\(317\) 30.0952 + 4.53611i 1.69031 + 0.254774i 0.922527 0.385933i \(-0.126121\pi\)
0.767786 + 0.640707i \(0.221359\pi\)
\(318\) −0.0812384 + 0.0553874i −0.00455563 + 0.00310597i
\(319\) −22.3264 + 15.2219i −1.25004 + 0.852262i
\(320\) 6.91226 + 1.04186i 0.386407 + 0.0582415i
\(321\) 0.122220 0.153259i 0.00682167 0.00855411i
\(322\) −2.50743 + 3.38159i −0.139733 + 0.188449i
\(323\) 9.22084 + 11.5626i 0.513061 + 0.643358i
\(324\) 7.75609 + 13.4339i 0.430894 + 0.746330i
\(325\) 2.95328 5.11522i 0.163818 0.283742i
\(326\) 9.99806 1.50697i 0.553741 0.0834631i
\(327\) −0.139017 + 0.128989i −0.00768763 + 0.00713308i
\(328\) −7.93397 3.82080i −0.438080 0.210968i
\(329\) 5.23203 9.84613i 0.288451 0.542835i
\(330\) −0.122386 + 0.0589378i −0.00673711 + 0.00324442i
\(331\) 5.67972 14.4717i 0.312186 0.795436i −0.685540 0.728035i \(-0.740434\pi\)
0.997726 0.0674014i \(-0.0214708\pi\)
\(332\) 1.13135 15.0968i 0.0620907 0.828543i
\(333\) −25.4501 7.85030i −1.39465 0.430194i
\(334\) −0.158712 2.11787i −0.00868434 0.115885i
\(335\) 0.930485 4.07672i 0.0508378 0.222735i
\(336\) −0.0109772 0.0994231i −0.000598855 0.00542397i
\(337\) −1.27689 5.59443i −0.0695567 0.304748i 0.928168 0.372160i \(-0.121383\pi\)
−0.997725 + 0.0674124i \(0.978526\pi\)
\(338\) −0.502020 + 0.154853i −0.0273063 + 0.00842287i
\(339\) 0.106844 + 0.272233i 0.00580295 + 0.0147857i
\(340\) −9.58177 8.89059i −0.519645 0.482160i
\(341\) 2.07306 + 1.41339i 0.112262 + 0.0765392i
\(342\) −10.1520 −0.548959
\(343\) −5.99944 17.5216i −0.323939 0.946078i
\(344\) 2.56851 0.138485
\(345\) −0.129101 0.0880195i −0.00695056 0.00473881i
\(346\) −5.49191 5.09575i −0.295247 0.273949i
\(347\) −8.45691 21.5478i −0.453991 1.15675i −0.956385 0.292110i \(-0.905643\pi\)
0.502394 0.864639i \(-0.332453\pi\)
\(348\) −0.138754 + 0.0427998i −0.00743797 + 0.00229431i
\(349\) −7.04450 30.8640i −0.377083 1.65211i −0.706342 0.707871i \(-0.749656\pi\)
0.329258 0.944240i \(-0.393201\pi\)
\(350\) −0.900975 8.16035i −0.0481592 0.436189i
\(351\) 0.0208559 0.0913758i 0.00111321 0.00487728i
\(352\) −1.94170 25.9102i −0.103493 1.38102i
\(353\) −13.1142 4.04519i −0.697997 0.215303i −0.0746050 0.997213i \(-0.523770\pi\)
−0.623392 + 0.781910i \(0.714246\pi\)
\(354\) 0.00795798 0.106192i 0.000422962 0.00564403i
\(355\) −3.34509 + 8.52314i −0.177539 + 0.452362i
\(356\) 8.06202 3.88246i 0.427286 0.205770i
\(357\) −0.0445251 + 0.0837914i −0.00235652 + 0.00443471i
\(358\) −5.90928 2.84576i −0.312315 0.150403i
\(359\) −3.64723 + 3.38413i −0.192493 + 0.178608i −0.770531 0.637402i \(-0.780009\pi\)
0.578038 + 0.816010i \(0.303819\pi\)
\(360\) 19.1654 2.88872i 1.01011 0.152249i
\(361\) −11.2487 + 19.4833i −0.592035 + 1.02543i
\(362\) 4.73773 + 8.20599i 0.249009 + 0.431297i
\(363\) −0.137510 0.172432i −0.00721741 0.00905035i
\(364\) 2.71677 3.66392i 0.142398 0.192042i
\(365\) 6.02677 7.55733i 0.315456 0.395569i
\(366\) 0.0396101 + 0.00597027i 0.00207046 + 0.000312071i
\(367\) −27.8976 + 19.0203i −1.45624 + 0.992850i −0.461866 + 0.886950i \(0.652820\pi\)
−0.994377 + 0.105900i \(0.966228\pi\)
\(368\) 6.05625 4.12908i 0.315704 0.215243i
\(369\) 13.3513 + 2.01238i 0.695039 + 0.104760i
\(370\) −9.60437 + 12.0435i −0.499308 + 0.626112i
\(371\) 28.0572 14.7485i 1.45665 0.765702i
\(372\) 0.00840625 + 0.0105411i 0.000435844 + 0.000546531i
\(373\) −13.2879 23.0153i −0.688021 1.19169i −0.972477 0.232998i \(-0.925146\pi\)
0.284456 0.958689i \(-0.408187\pi\)
\(374\) −3.02240 + 5.23496i −0.156285 + 0.270693i
\(375\) 0.0462470 0.00697062i 0.00238819 0.000359961i
\(376\) 6.04398 5.60800i 0.311695 0.289210i
\(377\) −4.85768 2.33933i −0.250183 0.120482i
\(378\) −0.0518292 0.119522i −0.00266581 0.00614757i
\(379\) 10.3202 4.96994i 0.530112 0.255289i −0.149627 0.988743i \(-0.547807\pi\)
0.679739 + 0.733454i \(0.262093\pi\)
\(380\) 13.3995 34.1414i 0.687380 1.75142i
\(381\) −0.0242616 + 0.323748i −0.00124296 + 0.0165861i
\(382\) 5.31944 + 1.64083i 0.272166 + 0.0839522i
\(383\) −0.211801 2.82629i −0.0108225 0.144417i 0.989175 0.146742i \(-0.0468788\pi\)
−0.999997 + 0.00232559i \(0.999260\pi\)
\(384\) 0.0399084 0.174850i 0.00203656 0.00892277i
\(385\) 41.3661 14.3709i 2.10821 0.732407i
\(386\) 0.465179 + 2.03808i 0.0236770 + 0.103736i
\(387\) −3.76326 + 1.16081i −0.191297 + 0.0590074i
\(388\) 3.59016 + 9.14757i 0.182263 + 0.464398i
\(389\) 21.0660 + 19.5463i 1.06809 + 0.991039i 0.999978 0.00663867i \(-0.00211317\pi\)
0.0681083 + 0.997678i \(0.478304\pi\)
\(390\) −0.0223940 0.0152680i −0.00113396 0.000773124i
\(391\) −6.95321 −0.351639
\(392\) 0.0612512 13.6949i 0.00309365 0.691699i
\(393\) −0.207052 −0.0104444
\(394\) −3.85053 2.62525i −0.193987 0.132258i
\(395\) 2.95584 + 2.74262i 0.148724 + 0.137996i
\(396\) 9.46925 + 24.1272i 0.475847 + 1.21244i
\(397\) −18.3967 + 5.67463i −0.923303 + 0.284801i −0.719727 0.694258i \(-0.755733\pi\)
−0.203577 + 0.979059i \(0.565257\pi\)
\(398\) −1.20268 5.26928i −0.0602849 0.264125i
\(399\) −0.264505 0.0304018i −0.0132418 0.00152199i
\(400\) −3.18089 + 13.9364i −0.159045 + 0.696820i
\(401\) −0.685936 9.15318i −0.0342540 0.457088i −0.987788 0.155803i \(-0.950204\pi\)
0.953534 0.301285i \(-0.0974155\pi\)
\(402\) −0.00992981 0.00306294i −0.000495254 0.000152766i
\(403\) −0.0374116 + 0.499224i −0.00186361 + 0.0248681i
\(404\) 1.49586 3.81138i 0.0744217 0.189623i
\(405\) −26.7726 + 12.8930i −1.33034 + 0.640658i
\(406\) −7.36664 + 1.37679i −0.365600 + 0.0683288i
\(407\) −40.0907 19.3066i −1.98722 0.956995i
\(408\) −0.0514348 + 0.0477245i −0.00254640 + 0.00236272i
\(409\) −22.5828 + 3.40382i −1.11665 + 0.168308i −0.681336 0.731971i \(-0.738601\pi\)
−0.435314 + 0.900279i \(0.643363\pi\)
\(410\) 3.90468 6.76310i 0.192838 0.334006i
\(411\) −0.0657594 0.113899i −0.00324367 0.00561821i
\(412\) 6.08796 + 7.63406i 0.299932 + 0.376103i
\(413\) −6.45776 + 33.7172i −0.317766 + 1.65911i
\(414\) 2.97596 3.73173i 0.146260 0.183405i
\(415\) 28.6767 + 4.32232i 1.40768 + 0.212174i
\(416\) 4.28350 2.92044i 0.210016 0.143186i
\(417\) −0.247861 + 0.168989i −0.0121378 + 0.00827541i
\(418\) −16.7720 2.52796i −0.820343 0.123647i
\(419\) 1.10657 1.38760i 0.0540596 0.0677886i −0.754067 0.656798i \(-0.771910\pi\)
0.808126 + 0.589009i \(0.200482\pi\)
\(420\) 0.235172 0.00827292i 0.0114752 0.000403677i
\(421\) −16.9250 21.2233i −0.824874 1.03436i −0.998769 0.0495955i \(-0.984207\pi\)
0.173895 0.984764i \(-0.444365\pi\)
\(422\) −0.145260 0.251597i −0.00707113 0.0122476i
\(423\) −6.32089 + 10.9481i −0.307332 + 0.532315i
\(424\) 23.1773 3.49341i 1.12559 0.169655i
\(425\) 9.94030 9.22325i 0.482176 0.447394i
\(426\) 0.0205002 + 0.00987236i 0.000993236 + 0.000478317i
\(427\) −12.4662 3.37020i −0.603281 0.163095i
\(428\) −19.4910 + 9.38639i −0.942135 + 0.453708i
\(429\) 0.0286034 0.0728804i 0.00138099 0.00351870i
\(430\) −0.170220 + 2.27143i −0.00820874 + 0.109538i
\(431\) −12.9633 3.99865i −0.624420 0.192608i −0.0336313 0.999434i \(-0.510707\pi\)
−0.590789 + 0.806826i \(0.701183\pi\)
\(432\) 0.0169511 + 0.226197i 0.000815561 + 0.0108829i
\(433\) 1.04805 4.59181i 0.0503661 0.220668i −0.943481 0.331426i \(-0.892470\pi\)
0.993848 + 0.110757i \(0.0353276\pi\)
\(434\) 0.368897 + 0.590022i 0.0177076 + 0.0283219i
\(435\) −0.0618954 0.271182i −0.00296766 0.0130022i
\(436\) 19.9989 6.16885i 0.957775 0.295435i
\(437\) −7.12792 18.1617i −0.340975 0.868790i
\(438\) −0.0176088 0.0163385i −0.000841379 0.000780685i
\(439\) 0.651735 + 0.444346i 0.0311056 + 0.0212075i 0.578773 0.815489i \(-0.303532\pi\)
−0.547667 + 0.836696i \(0.684484\pi\)
\(440\) 32.3821 1.54375
\(441\) 6.09955 + 20.0929i 0.290455 + 0.956804i
\(442\) −1.20611 −0.0573689
\(443\) 12.2305 + 8.33864i 0.581090 + 0.396181i 0.817887 0.575378i \(-0.195145\pi\)
−0.236797 + 0.971559i \(0.576098\pi\)
\(444\) −0.175281 0.162637i −0.00831848 0.00771842i
\(445\) 6.26238 + 15.9563i 0.296865 + 0.756401i
\(446\) −1.83434 + 0.565820i −0.0868587 + 0.0267924i
\(447\) 0.0361438 + 0.158356i 0.00170954 + 0.00748999i
\(448\) −1.86145 + 5.28179i −0.0879450 + 0.249541i
\(449\) −4.20648 + 18.4298i −0.198516 + 0.869757i 0.773304 + 0.634035i \(0.218603\pi\)
−0.971821 + 0.235722i \(0.924255\pi\)
\(450\) 0.695621 + 9.28241i 0.0327919 + 0.437577i
\(451\) 21.5562 + 6.64922i 1.01504 + 0.313099i
\(452\) 2.41189 32.1844i 0.113446 1.51383i
\(453\) −0.0593750 + 0.151285i −0.00278968 + 0.00710799i
\(454\) −6.99527 + 3.36875i −0.328304 + 0.158103i
\(455\) 6.61010 + 5.71423i 0.309886 + 0.267887i
\(456\) −0.177383 0.0854230i −0.00830671 0.00400030i
\(457\) 0.361508 0.335430i 0.0169106 0.0156908i −0.671672 0.740848i \(-0.734424\pi\)
0.688583 + 0.725158i \(0.258233\pi\)
\(458\) −9.52757 + 1.43605i −0.445194 + 0.0671022i
\(459\) 0.107587 0.186346i 0.00502173 0.00869789i
\(460\) 8.62193 + 14.9336i 0.402000 + 0.696284i
\(461\) 8.28587 + 10.3902i 0.385911 + 0.483918i 0.936405 0.350922i \(-0.114132\pi\)
−0.550493 + 0.834840i \(0.685560\pi\)
\(462\) −0.0279307 0.105179i −0.00129945 0.00489337i
\(463\) 15.5605 19.5122i 0.723156 0.906809i −0.275356 0.961342i \(-0.588796\pi\)
0.998512 + 0.0545333i \(0.0173671\pi\)
\(464\) 12.9028 + 1.94479i 0.598998 + 0.0902845i
\(465\) −0.0213396 + 0.0145491i −0.000989599 + 0.000674697i
\(466\) 8.79698 5.99768i 0.407512 0.277837i
\(467\) −9.51236 1.43376i −0.440179 0.0663464i −0.0747860 0.997200i \(-0.523827\pi\)
−0.365393 + 0.930853i \(0.619065\pi\)
\(468\) −3.22442 + 4.04330i −0.149049 + 0.186901i
\(469\) 3.06747 + 1.34650i 0.141643 + 0.0621755i
\(470\) 4.55882 + 5.71658i 0.210283 + 0.263686i
\(471\) 0.154884 + 0.268266i 0.00713666 + 0.0123611i
\(472\) −12.6929 + 21.9848i −0.584239 + 1.01193i
\(473\) −6.50626 + 0.980660i −0.299158 + 0.0450908i
\(474\) 0.00734546 0.00681559i 0.000337388 0.000313051i
\(475\) 34.2810 + 16.5089i 1.57292 + 0.757479i
\(476\) 8.43938 6.19944i 0.386818 0.284151i
\(477\) −32.3794 + 15.5931i −1.48255 + 0.713960i
\(478\) 4.29465 10.9426i 0.196433 0.500502i
\(479\) −1.90388 + 25.4056i −0.0869906 + 1.16081i 0.767397 + 0.641173i \(0.221552\pi\)
−0.854387 + 0.519637i \(0.826067\pi\)
\(480\) 0.255579 + 0.0788358i 0.0116655 + 0.00359834i
\(481\) −0.663490 8.85366i −0.0302525 0.403692i
\(482\) −3.28002 + 14.3707i −0.149401 + 0.654569i
\(483\) 0.0887121 0.0883162i 0.00403654 0.00401853i
\(484\) 5.41611 + 23.7295i 0.246187 + 1.07862i
\(485\) −17.9881 + 5.54860i −0.816799 + 0.251949i
\(486\) 0.0809464 + 0.206248i 0.00367180 + 0.00935560i
\(487\) 4.28691 + 3.97768i 0.194259 + 0.180246i 0.771305 0.636466i \(-0.219604\pi\)
−0.577046 + 0.816711i \(0.695795\pi\)
\(488\) −7.88994 5.37927i −0.357161 0.243508i
\(489\) −0.300651 −0.0135959
\(490\) 12.1069 + 0.961757i 0.546934 + 0.0434478i
\(491\) −23.5091 −1.06095 −0.530477 0.847700i \(-0.677987\pi\)
−0.530477 + 0.847700i \(0.677987\pi\)
\(492\) 0.100157 + 0.0682860i 0.00451543 + 0.00307857i
\(493\) −9.07370 8.41916i −0.408659 0.379180i
\(494\) −1.23642 3.15034i −0.0556291 0.141741i
\(495\) −47.4447 + 14.6348i −2.13248 + 0.657784i
\(496\) −0.269604 1.18121i −0.0121056 0.0530380i
\(497\) −6.20218 3.91646i −0.278206 0.175677i
\(498\) 0.0160368 0.0702617i 0.000718625 0.00314850i
\(499\) 2.14194 + 28.5821i 0.0958862 + 1.27951i 0.812879 + 0.582432i \(0.197899\pi\)
−0.716993 + 0.697080i \(0.754482\pi\)
\(500\) −4.93215 1.52137i −0.220573 0.0680377i
\(501\) −0.00471931 + 0.0629748i −0.000210843 + 0.00281351i
\(502\) −1.89646 + 4.83210i −0.0846431 + 0.215667i
\(503\) 24.7544 11.9211i 1.10374 0.531535i 0.208910 0.977935i \(-0.433009\pi\)
0.894833 + 0.446400i \(0.147294\pi\)
\(504\) −0.615289 + 15.5153i −0.0274072 + 0.691106i
\(505\) 7.06657 + 3.40308i 0.314458 + 0.151435i
\(506\) 5.84576 5.42407i 0.259876 0.241129i
\(507\) 0.0154471 0.00232828i 0.000686030 0.000103402i
\(508\) 17.9145 31.0288i 0.794827 1.37668i
\(509\) 2.74820 + 4.76002i 0.121812 + 0.210984i 0.920482 0.390785i \(-0.127796\pi\)
−0.798670 + 0.601769i \(0.794463\pi\)
\(510\) −0.0387959 0.0486486i −0.00171791 0.00215419i
\(511\) 5.03812 + 5.88095i 0.222873 + 0.260158i
\(512\) −13.7272 + 17.2133i −0.606662 + 0.760730i
\(513\) 0.597023 + 0.0899867i 0.0263592 + 0.00397301i
\(514\) 11.4797 7.82674i 0.506349 0.345223i
\(515\) −15.4545 + 10.5367i −0.681007 + 0.464302i
\(516\) −0.0349622 0.00526970i −0.00153912 0.000231986i
\(517\) −13.1688 + 16.5132i −0.579163 + 0.726248i
\(518\) −8.02884 9.37199i −0.352767 0.411782i
\(519\) 0.138895 + 0.174169i 0.00609681 + 0.00764516i
\(520\) 3.23058 + 5.59552i 0.141670 + 0.245380i
\(521\) −11.4580 + 19.8459i −0.501986 + 0.869465i 0.498012 + 0.867170i \(0.334064\pi\)
−0.999997 + 0.00229430i \(0.999270\pi\)
\(522\) 8.40202 1.26640i 0.367746 0.0554288i
\(523\) 3.85657 3.57838i 0.168636 0.156471i −0.591340 0.806422i \(-0.701401\pi\)
0.759976 + 0.649951i \(0.225210\pi\)
\(524\) 20.5873 + 9.91433i 0.899361 + 0.433110i
\(525\) −0.00967356 + 0.243931i −0.000422189 + 0.0106460i
\(526\) −11.2336 + 5.40983i −0.489810 + 0.235880i
\(527\) −0.419895 + 1.06987i −0.0182909 + 0.0466045i
\(528\) −0.0141599 + 0.188950i −0.000616229 + 0.00822301i
\(529\) −13.2128 4.07559i −0.574468 0.177200i
\(530\) 1.55335 + 20.7280i 0.0674733 + 0.900369i
\(531\) 8.66127 37.9475i 0.375867 1.64678i
\(532\) 24.8442 + 15.6883i 1.07713 + 0.680173i
\(533\) 1.00158 + 4.38821i 0.0433832 + 0.190074i
\(534\) 0.0407046 0.0125557i 0.00176146 0.000543339i
\(535\) −15.1402 38.5765i −0.654567 1.66781i
\(536\) 1.81592 + 1.68492i 0.0784356 + 0.0727776i
\(537\) 0.161138 + 0.109862i 0.00695363 + 0.00474091i
\(538\) −6.31717 −0.272353
\(539\) 5.07359 + 34.7139i 0.218535 + 1.49523i
\(540\) −0.533629 −0.0229637
\(541\) 4.90237 + 3.34238i 0.210769 + 0.143700i 0.664104 0.747640i \(-0.268813\pi\)
−0.453334 + 0.891341i \(0.649766\pi\)
\(542\) 10.0301 + 9.30658i 0.430830 + 0.399752i
\(543\) −0.102936 0.262276i −0.00441740 0.0112554i
\(544\) 11.3733 3.50821i 0.487627 0.150413i
\(545\) 8.92116 + 39.0861i 0.382140 + 1.67427i
\(546\) 0.0153881 0.0153194i 0.000658550 0.000655612i
\(547\) −3.26263 + 14.2945i −0.139500 + 0.611189i 0.856045 + 0.516901i \(0.172915\pi\)
−0.995545 + 0.0942879i \(0.969943\pi\)
\(548\) 1.08466 + 14.4738i 0.0463345 + 0.618291i
\(549\) 13.9911 + 4.31568i 0.597125 + 0.184189i
\(550\) −1.16220 + 15.5085i −0.0495564 + 0.661284i
\(551\) 12.6890 32.3310i 0.540569 1.37735i
\(552\) 0.0833981 0.0401624i 0.00354966 0.00170942i
\(553\) −2.60343 + 1.91244i −0.110709 + 0.0813251i
\(554\) −9.54855 4.59834i −0.405679 0.195365i
\(555\) 0.335771 0.311550i 0.0142527 0.0132245i
\(556\) 32.7367 4.93427i 1.38835 0.209260i
\(557\) 6.63617 11.4942i 0.281184 0.487025i −0.690493 0.723339i \(-0.742606\pi\)
0.971677 + 0.236315i \(0.0759396\pi\)
\(558\) −0.394479 0.683258i −0.0166996 0.0289246i
\(559\) −0.818548 1.02643i −0.0346209 0.0434132i
\(560\) −19.3630 8.49960i −0.818238 0.359174i
\(561\) 0.112068 0.140528i 0.00473150 0.00593311i
\(562\) 13.0744 + 1.97065i 0.551512 + 0.0831270i
\(563\) −17.4749 + 11.9142i −0.736479 + 0.502123i −0.872519 0.488581i \(-0.837515\pi\)
0.136040 + 0.990703i \(0.456562\pi\)
\(564\) −0.0937756 + 0.0639351i −0.00394866 + 0.00269215i
\(565\) 61.1351 + 9.21464i 2.57197 + 0.387663i
\(566\) 4.50808 5.65295i 0.189489 0.237611i
\(567\) −6.11000 23.0085i −0.256596 0.966266i
\(568\) −3.38190 4.24077i −0.141901 0.177939i
\(569\) −15.1275 26.2016i −0.634179 1.09843i −0.986688 0.162622i \(-0.948005\pi\)
0.352510 0.935808i \(-0.385328\pi\)
\(570\) 0.0872984 0.151205i 0.00365653 0.00633329i
\(571\) 7.47791 1.12711i 0.312941 0.0471682i 0.00930580 0.999957i \(-0.497038\pi\)
0.303635 + 0.952788i \(0.401800\pi\)
\(572\) −6.33382 + 5.87693i −0.264830 + 0.245727i
\(573\) −0.149135 0.0718197i −0.00623021 0.00300031i
\(574\) 4.73299 + 4.09153i 0.197551 + 0.170777i
\(575\) −16.1175 + 7.76179i −0.672147 + 0.323689i
\(576\) 2.31974 5.91060i 0.0966558 0.246275i
\(577\) 2.54405 33.9480i 0.105910 1.41327i −0.650664 0.759366i \(-0.725509\pi\)
0.756574 0.653908i \(-0.226872\pi\)
\(578\) 5.88838 + 1.81632i 0.244924 + 0.0755491i
\(579\) −0.00464529 0.0619872i −0.000193052 0.00257610i
\(580\) −6.83077 + 29.9276i −0.283632 + 1.24267i
\(581\) −7.72253 + 21.9124i −0.320384 + 0.909080i
\(582\) 0.0104095 + 0.0456072i 0.000431489 + 0.00189048i
\(583\) −57.3762 + 17.6982i −2.37628 + 0.732986i
\(584\) 2.09207 + 5.33051i 0.0865705 + 0.220578i
\(585\) −7.26214 6.73828i −0.300252 0.278593i
\(586\) 2.36856 + 1.61486i 0.0978444 + 0.0667092i
\(587\) −26.7346 −1.10346 −0.551728 0.834024i \(-0.686031\pi\)
−0.551728 + 0.834024i \(0.686031\pi\)
\(588\) −0.0289311 + 0.186288i −0.00119310 + 0.00768238i
\(589\) −3.22494 −0.132881
\(590\) −18.6008 12.6818i −0.765782 0.522101i
\(591\) 0.101582 + 0.0942546i 0.00417854 + 0.00387712i
\(592\) 7.85021 + 20.0020i 0.322642 + 0.822078i
\(593\) 28.4618 8.77932i 1.16879 0.360523i 0.351185 0.936306i \(-0.385779\pi\)
0.817603 + 0.575783i \(0.195303\pi\)
\(594\) 0.0549138 + 0.240593i 0.00225314 + 0.00987165i
\(595\) 10.6344 + 17.0088i 0.435967 + 0.697294i
\(596\) 3.98882 17.4762i 0.163388 0.715851i
\(597\) 0.0120100 + 0.160262i 0.000491536 + 0.00655910i
\(598\) 1.52046 + 0.469000i 0.0621763 + 0.0191788i
\(599\) 2.83880 37.8811i 0.115990 1.54778i −0.570899 0.821020i \(-0.693405\pi\)
0.686890 0.726762i \(-0.258976\pi\)
\(600\) −0.0659514 + 0.168041i −0.00269245 + 0.00686026i
\(601\) −29.4024 + 14.1595i −1.19935 + 0.577576i −0.923490 0.383622i \(-0.874677\pi\)
−0.275859 + 0.961198i \(0.588962\pi\)
\(602\) −1.76158 0.476239i −0.0717967 0.0194101i
\(603\) −3.42208 1.64799i −0.139358 0.0671112i
\(604\) 13.1477 12.1993i 0.534974 0.496383i
\(605\) −46.1048 + 6.94918i −1.87443 + 0.282524i
\(606\) 0.00974557 0.0168798i 0.000395887 0.000685696i
\(607\) 9.35472 + 16.2029i 0.379696 + 0.657653i 0.991018 0.133729i \(-0.0426951\pi\)
−0.611322 + 0.791382i \(0.709362\pi\)
\(608\) 20.8225 + 26.1106i 0.844463 + 1.05892i
\(609\) 0.222702 0.00783425i 0.00902435 0.000317460i
\(610\) 5.27998 6.62088i 0.213780 0.268072i
\(611\) −4.16720 0.628104i −0.168587 0.0254104i
\(612\) −9.80977 + 6.68819i −0.396537 + 0.270354i
\(613\) 8.78561 5.98993i 0.354848 0.241931i −0.372755 0.927930i \(-0.621587\pi\)
0.727603 + 0.685999i \(0.240634\pi\)
\(614\) 8.62746 + 1.30038i 0.348176 + 0.0524791i
\(615\) −0.144781 + 0.181550i −0.00583815 + 0.00732081i
\(616\) −4.87998 + 25.4793i −0.196620 + 1.02659i
\(617\) −9.19113 11.5253i −0.370021 0.463992i 0.561607 0.827404i \(-0.310183\pi\)
−0.931629 + 0.363412i \(0.881612\pi\)
\(618\) 0.0232412 + 0.0402549i 0.000934897 + 0.00161929i
\(619\) −2.30929 + 3.99981i −0.0928183 + 0.160766i −0.908696 0.417459i \(-0.862921\pi\)
0.815878 + 0.578225i \(0.196254\pi\)
\(620\) 2.81847 0.424816i 0.113192 0.0170610i
\(621\) −0.208089 + 0.193078i −0.00835030 + 0.00774795i
\(622\) −14.9412 7.19529i −0.599086 0.288505i
\(623\) −13.4987 + 2.52283i −0.540813 + 0.101075i
\(624\) −0.0340627 + 0.0164037i −0.00136360 + 0.000656675i
\(625\) −7.17727 + 18.2874i −0.287091 + 0.731496i
\(626\) 0.613653 8.18863i 0.0245265 0.327283i
\(627\) 0.481941 + 0.148659i 0.0192469 + 0.00593687i
\(628\) −2.55471 34.0903i −0.101944 1.36035i
\(629\) 4.53566 19.8720i 0.180849 0.792350i
\(630\) −13.6800 1.57235i −0.545024 0.0626440i
\(631\) −9.82205 43.0332i −0.391010 1.71313i −0.661106 0.750292i \(-0.729913\pi\)
0.270097 0.962833i \(-0.412944\pi\)
\(632\) −2.28261 + 0.704093i −0.0907975 + 0.0280073i
\(633\) 0.00315604 + 0.00804145i 0.000125441 + 0.000319619i
\(634\) −11.7210 10.8755i −0.465502 0.431923i
\(635\) 56.7084 + 38.6631i 2.25040 + 1.53430i
\(636\) −0.322653 −0.0127940
\(637\) −5.49229 + 4.33991i −0.217612 + 0.171953i
\(638\) 14.1961 0.562030
\(639\) 6.87158 + 4.68497i 0.271836 + 0.185334i
\(640\) −27.7937 25.7888i −1.09864 1.01939i
\(641\) −8.15467 20.7778i −0.322090 0.820672i −0.996599 0.0824054i \(-0.973740\pi\)
0.674509 0.738267i \(-0.264355\pi\)
\(642\) −0.0984090 + 0.0303552i −0.00388389 + 0.00119802i
\(643\) −2.96168 12.9760i −0.116797 0.511722i −0.999153 0.0411401i \(-0.986901\pi\)
0.882356 0.470582i \(-0.155956\pi\)
\(644\) −13.0496 + 4.53352i −0.514226 + 0.178646i
\(645\) 0.0150714 0.0660322i 0.000593437 0.00260002i
\(646\) −0.580622 7.74786i −0.0228443 0.304836i
\(647\) 14.2616 + 4.39911i 0.560680 + 0.172947i 0.562125 0.827052i \(-0.309984\pi\)
−0.00144523 + 0.999999i \(0.500460\pi\)
\(648\) 1.31552 17.5544i 0.0516786 0.689603i
\(649\) 23.7584 60.5355i 0.932600 2.37623i
\(650\) −2.79577 + 1.34637i −0.109659 + 0.0528090i
\(651\) −0.00823181 0.0189832i −0.000322630 0.000744011i
\(652\) 29.8939 + 14.3962i 1.17074 + 0.563797i
\(653\) 17.1636 15.9255i 0.671666 0.623215i −0.268763 0.963206i \(-0.586615\pi\)
0.940428 + 0.339992i \(0.110424\pi\)
\(654\) 0.0985169 0.0148490i 0.00385232 0.000580643i
\(655\) −21.8860 + 37.9077i −0.855159 + 1.48118i
\(656\) −5.44664 9.43385i −0.212655 0.368330i
\(657\) −5.47428 6.86453i −0.213572 0.267811i
\(658\) −5.18501 + 2.72554i −0.202133 + 0.106253i
\(659\) −19.9960 + 25.0742i −0.778935 + 0.976754i 0.221064 + 0.975259i \(0.429047\pi\)
−0.999999 + 0.00149465i \(0.999524\pi\)
\(660\) −0.440780 0.0664369i −0.0171573 0.00258605i
\(661\) −20.9799 + 14.3039i −0.816023 + 0.556355i −0.897855 0.440291i \(-0.854875\pi\)
0.0818318 + 0.996646i \(0.473923\pi\)
\(662\) −6.74825 + 4.60088i −0.262278 + 0.178818i
\(663\) 0.0354632 + 0.00534522i 0.00137728 + 0.000207591i
\(664\) −10.7117 + 13.4321i −0.415695 + 0.521266i
\(665\) −33.5251 + 45.2130i −1.30005 + 1.75328i
\(666\) 8.72391 + 10.9394i 0.338045 + 0.423895i
\(667\) 8.16476 + 14.1418i 0.316141 + 0.547572i
\(668\) 3.48469 6.03566i 0.134827 0.233527i
\(669\) 0.0564426 0.00850736i 0.00218220 0.000328913i
\(670\) −1.61039 + 1.49422i −0.0622147 + 0.0577268i
\(671\) 22.0397 + 10.6138i 0.850835 + 0.409740i
\(672\) −0.100546 + 0.189218i −0.00387866 + 0.00729923i
\(673\) 23.5326 11.3327i 0.907115 0.436843i 0.0786612 0.996901i \(-0.474935\pi\)
0.828453 + 0.560058i \(0.189221\pi\)
\(674\) −1.10138 + 2.80628i −0.0424237 + 0.108094i
\(675\) 0.0413703 0.552048i 0.00159234 0.0212483i
\(676\) −1.64740 0.508157i −0.0633617 0.0195445i
\(677\) −0.640092 8.54143i −0.0246007 0.328274i −0.995903 0.0904261i \(-0.971177\pi\)
0.971302 0.237848i \(-0.0764419\pi\)
\(678\) 0.0341884 0.149789i 0.00131300 0.00575261i
\(679\) −1.65501 14.9898i −0.0635134 0.575257i
\(680\) 3.30074 + 14.4615i 0.126578 + 0.554573i
\(681\) 0.220611 0.0680494i 0.00845383 0.00260766i
\(682\) −0.481572 1.22703i −0.0184403 0.0469852i
\(683\) −1.62001 1.50315i −0.0619880 0.0575164i 0.648571 0.761155i \(-0.275367\pi\)
−0.710558 + 0.703638i \(0.751558\pi\)
\(684\) −27.5257 18.7667i −1.05247 0.717562i
\(685\) −27.8039 −1.06233
\(686\) −2.58125 + 9.38116i −0.0985527 + 0.358174i
\(687\) 0.286502 0.0109308
\(688\) 2.62521 + 1.78984i 0.100085 + 0.0682369i
\(689\) −8.78230 8.14879i −0.334579 0.310444i
\(690\) 0.0299902 + 0.0764137i 0.00114171 + 0.00290902i
\(691\) 19.8227 6.11449i 0.754091 0.232606i 0.106206 0.994344i \(-0.466130\pi\)
0.647885 + 0.761738i \(0.275654\pi\)
\(692\) −5.47065 23.9685i −0.207963 0.911146i
\(693\) −4.36518 39.5365i −0.165820 1.50187i
\(694\) −2.70608 + 11.8561i −0.102721 + 0.450052i
\(695\) 4.73932 + 63.2419i 0.179773 + 2.39890i
\(696\) 0.157461 + 0.0485704i 0.00596856 + 0.00184106i
\(697\) −0.772220 + 10.3046i −0.0292499 + 0.390313i
\(698\) −6.07624 + 15.4820i −0.229989 + 0.586002i
\(699\) −0.285237 + 0.137363i −0.0107887 + 0.00519555i
\(700\) 12.6421 23.7911i 0.477826 0.899218i
\(701\) −25.8768 12.4616i −0.977353 0.470669i −0.124159 0.992262i \(-0.539623\pi\)
−0.853194 + 0.521594i \(0.825338\pi\)
\(702\) −0.0360953 + 0.0334915i −0.00136233 + 0.00126406i
\(703\) 56.5550 8.52430i 2.13301 0.321500i
\(704\) 5.30419 9.18713i 0.199909 0.346253i
\(705\) −0.108708 0.188288i −0.00409418 0.00709133i
\(706\) 4.49535 + 5.63699i 0.169185 + 0.212151i
\(707\) −3.74259 + 5.04736i −0.140754 + 0.189826i
\(708\) 0.217879 0.273212i 0.00818841 0.0102679i
\(709\) 27.5421 + 4.15131i 1.03437 + 0.155906i 0.644215 0.764845i \(-0.277184\pi\)
0.390152 + 0.920750i \(0.372422\pi\)
\(710\) 3.97440 2.70970i 0.149157 0.101693i
\(711\) 3.02617 2.06321i 0.113490 0.0773764i
\(712\) −10.0412 1.51347i −0.376310 0.0567196i
\(713\) 0.945355 1.18544i 0.0354038 0.0443950i
\(714\) 0.0441248 0.0231946i 0.00165133 0.000868035i
\(715\) −10.3197 12.9405i −0.385935 0.483948i
\(716\) −10.7615 18.6395i −0.402178 0.696592i
\(717\) −0.174770 + 0.302711i −0.00652691 + 0.0113049i
\(718\) 2.58468 0.389578i 0.0964595 0.0145389i
\(719\) −27.0657 + 25.1133i −1.00938 + 0.936567i −0.997990 0.0633683i \(-0.979816\pi\)
−0.0113888 + 0.999935i \(0.503625\pi\)
\(720\) 21.6015 + 10.4027i 0.805039 + 0.387687i
\(721\) −5.96162 13.7480i −0.222022 0.512002i
\(722\) 10.6487 5.12816i 0.396305 0.190850i
\(723\) 0.160130 0.408005i 0.00595530 0.0151739i
\(724\) −2.32367 + 31.0073i −0.0863586 + 1.15238i
\(725\) −30.4310 9.38673i −1.13018 0.348614i
\(726\) 0.00865881 + 0.115544i 0.000321359 + 0.00428823i
\(727\) −4.31810 + 18.9189i −0.160150 + 0.701661i 0.829542 + 0.558445i \(0.188602\pi\)
−0.989691 + 0.143217i \(0.954255\pi\)
\(728\) −4.88959 + 1.69868i −0.181220 + 0.0629572i
\(729\) 6.00513 + 26.3102i 0.222412 + 0.974452i
\(730\) −4.85262 + 1.49683i −0.179603 + 0.0554003i
\(731\) −1.10114 2.80567i −0.0407273 0.103771i
\(732\) 0.0963604 + 0.0894094i 0.00356158 + 0.00330467i
\(733\) 31.2435 + 21.3014i 1.15400 + 0.786787i 0.980203 0.197994i \(-0.0634426\pi\)
0.173801 + 0.984781i \(0.444395\pi\)
\(734\) 17.7386 0.654742
\(735\) −0.351716 0.0819335i −0.0129732 0.00302216i
\(736\) −15.7017 −0.578773
\(737\) −5.24318 3.57474i −0.193135 0.131677i
\(738\) −5.19987 4.82477i −0.191410 0.177602i
\(739\) 0.890707 + 2.26949i 0.0327652 + 0.0834844i 0.946320 0.323231i \(-0.104769\pi\)
−0.913555 + 0.406716i \(0.866674\pi\)
\(740\) −48.3040 + 14.8998i −1.77569 + 0.547728i
\(741\) 0.0223927 + 0.0981088i 0.000822616 + 0.00360412i
\(742\) −16.5436 1.90149i −0.607334 0.0698059i
\(743\) 2.63949 11.5643i 0.0968334 0.424255i −0.903154 0.429317i \(-0.858754\pi\)
0.999987 + 0.00506241i \(0.00161142\pi\)
\(744\) −0.00114340 0.0152576i −4.19191e−5 0.000559371i
\(745\) 32.8129 + 10.1214i 1.20217 + 0.370821i
\(746\) −1.04337 + 13.9228i −0.0382005 + 0.509750i
\(747\) 9.62383 24.5211i 0.352118 0.897181i
\(748\) −17.8719 + 8.60667i −0.653463 + 0.314691i
\(749\) 32.6349 6.09930i 1.19245 0.222863i
\(750\) −0.0221375 0.0106609i −0.000808347 0.000389279i
\(751\) 19.7418 18.3177i 0.720387 0.668422i −0.232206 0.972667i \(-0.574595\pi\)
0.952594 + 0.304245i \(0.0984040\pi\)
\(752\) 10.0853 1.52011i 0.367773 0.0554328i
\(753\) 0.0771762 0.133673i 0.00281246 0.00487132i
\(754\) 1.41627 + 2.45305i 0.0515775 + 0.0893348i
\(755\) 21.4217 + 26.8619i 0.779614 + 0.977605i
\(756\) 0.0804179 0.419876i 0.00292477 0.0152708i
\(757\) 21.3002 26.7096i 0.774168 0.970776i −0.225826 0.974168i \(-0.572508\pi\)
0.999994 + 0.00339143i \(0.00107953\pi\)
\(758\) −5.95054 0.896900i −0.216133 0.0325769i
\(759\) −0.195921 + 0.133576i −0.00711146 + 0.00484851i
\(760\) −34.3895 + 23.4464i −1.24744 + 0.850489i
\(761\) 14.1847 + 2.13801i 0.514197 + 0.0775027i 0.401015 0.916072i \(-0.368658\pi\)
0.113182 + 0.993574i \(0.463896\pi\)
\(762\) 0.106343 0.133350i 0.00385241 0.00483076i
\(763\) −32.0987 + 1.12917i −1.16205 + 0.0408788i
\(764\) 11.3897 + 14.2822i 0.412064 + 0.516712i
\(765\) −11.3718 19.6966i −0.411150 0.712132i
\(766\) −0.744491 + 1.28950i −0.0268996 + 0.0465914i
\(767\) 12.8306 1.93390i 0.463286 0.0698291i
\(768\) −0.0205913 + 0.0191059i −0.000743023 + 0.000689425i
\(769\) 44.3051 + 21.3362i 1.59768 + 0.769403i 0.999489 0.0319495i \(-0.0101716\pi\)
0.598192 + 0.801353i \(0.295886\pi\)
\(770\) −22.2089 6.00411i −0.800353 0.216373i
\(771\) −0.372224 + 0.179253i −0.0134053 + 0.00645565i
\(772\) −2.50627 + 6.38586i