Properties

Label 637.2.bl.a.53.1
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 53.1
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.27310 - 1.54978i) q^{2} +(2.32870 + 2.16072i) q^{3} +(2.03451 + 5.18386i) q^{4} +(1.52353 - 0.469945i) q^{5} +(-1.94475 - 8.52050i) q^{6} +(-2.61577 - 0.397162i) q^{7} +(2.18478 - 9.57215i) q^{8} +(0.529951 + 7.07171i) q^{9} +O(q^{10})\) \(q+(-2.27310 - 1.54978i) q^{2} +(2.32870 + 2.16072i) q^{3} +(2.03451 + 5.18386i) q^{4} +(1.52353 - 0.469945i) q^{5} +(-1.94475 - 8.52050i) q^{6} +(-2.61577 - 0.397162i) q^{7} +(2.18478 - 9.57215i) q^{8} +(0.529951 + 7.07171i) q^{9} +(-4.19144 - 1.29289i) q^{10} +(-0.368753 + 4.92067i) q^{11} +(-6.46308 + 16.4677i) q^{12} +(0.900969 - 0.433884i) q^{13} +(5.33041 + 4.95665i) q^{14} +(4.56325 + 2.19755i) q^{15} +(-11.6365 + 10.7971i) q^{16} +(0.173824 - 0.0261997i) q^{17} +(9.75493 - 16.8960i) q^{18} +(-0.907059 - 1.57107i) q^{19} +(5.53576 + 6.94163i) q^{20} +(-5.23319 - 6.57681i) q^{21} +(8.46415 - 10.6137i) q^{22} +(3.03055 + 0.456783i) q^{23} +(25.7704 - 17.5700i) q^{24} +(-2.03091 + 1.38465i) q^{25} +(-2.72042 - 0.410037i) q^{26} +(-8.10390 + 10.1620i) q^{27} +(-3.26299 - 14.3678i) q^{28} +(2.94080 + 3.68765i) q^{29} +(-6.96704 - 12.0673i) q^{30} +(1.41446 - 2.44991i) q^{31} +(23.7666 - 3.58225i) q^{32} +(-11.4909 + 10.6620i) q^{33} +(-0.435723 - 0.209833i) q^{34} +(-4.17184 + 0.624183i) q^{35} +(-35.5805 + 17.1347i) q^{36} +(-0.572623 + 1.45902i) q^{37} +(-0.372971 + 4.97695i) q^{38} +(3.03558 + 0.936354i) q^{39} +(-1.16982 - 15.6101i) q^{40} +(-2.68182 + 11.7498i) q^{41} +(1.70300 + 23.0601i) q^{42} +(-2.07203 - 9.07814i) q^{43} +(-26.2583 + 8.09961i) q^{44} +(4.13071 + 10.5249i) q^{45} +(-6.18086 - 5.73500i) q^{46} +(1.58712 + 1.08208i) q^{47} -50.4272 q^{48} +(6.68452 + 2.07777i) q^{49} +6.76238 q^{50} +(0.461393 + 0.314572i) q^{51} +(4.08223 + 3.78775i) q^{52} +(-1.61718 - 4.12052i) q^{53} +(34.1698 - 10.5400i) q^{54} +(1.75064 + 7.67006i) q^{55} +(-9.51658 + 24.1708i) q^{56} +(1.28237 - 5.61845i) q^{57} +(-0.969718 - 12.9400i) q^{58} +(-8.14491 - 2.51237i) q^{59} +(-2.10777 + 28.1262i) q^{60} +(-0.0565384 + 0.144057i) q^{61} +(-7.01202 + 3.37681i) q^{62} +(1.42238 - 18.7084i) q^{63} +(-30.9718 - 14.9152i) q^{64} +(1.16875 - 1.08444i) q^{65} +(42.6437 - 6.42750i) q^{66} +(-1.89705 + 3.28579i) q^{67} +(0.489462 + 0.847773i) q^{68} +(6.07027 + 7.61188i) q^{69} +(10.4504 + 5.04658i) q^{70} +(5.83006 - 7.31067i) q^{71} +(68.8492 + 10.3774i) q^{72} +(0.801637 - 0.546547i) q^{73} +(3.56279 - 2.42907i) q^{74} +(-7.72123 - 1.16379i) q^{75} +(6.29879 - 7.89843i) q^{76} +(2.91888 - 12.7249i) q^{77} +(-5.44906 - 6.83291i) q^{78} +(1.33260 + 2.30814i) q^{79} +(-12.6544 + 21.9181i) q^{80} +(-19.7917 + 2.98312i) q^{81} +(24.3057 - 22.5524i) q^{82} +(11.0922 + 5.34173i) q^{83} +(23.4463 - 40.5087i) q^{84} +(0.252512 - 0.121603i) q^{85} +(-9.35916 + 23.8467i) q^{86} +(-1.11972 + 14.9417i) q^{87} +(46.2958 + 14.2803i) q^{88} +(0.386015 + 5.15102i) q^{89} +(6.92167 - 30.3258i) q^{90} +(-2.52905 + 0.777110i) q^{91} +(3.79781 + 16.6393i) q^{92} +(8.58741 - 2.64887i) q^{93} +(-1.93070 - 4.91935i) q^{94} +(-2.12025 - 1.96730i) q^{95} +(63.0856 + 43.0110i) q^{96} -5.09347 q^{97} +(-11.9745 - 15.0825i) q^{98} -34.9930 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.27310 1.54978i −1.60733 1.09586i −0.934445 0.356108i \(-0.884104\pi\)
−0.672882 0.739749i \(-0.734944\pi\)
\(3\) 2.32870 + 2.16072i 1.34447 + 1.24749i 0.943488 + 0.331407i \(0.107523\pi\)
0.400987 + 0.916084i \(0.368667\pi\)
\(4\) 2.03451 + 5.18386i 1.01726 + 2.59193i
\(5\) 1.52353 0.469945i 0.681341 0.210166i 0.0652833 0.997867i \(-0.479205\pi\)
0.616058 + 0.787701i \(0.288729\pi\)
\(6\) −1.94475 8.52050i −0.793940 3.47848i
\(7\) −2.61577 0.397162i −0.988669 0.150113i
\(8\) 2.18478 9.57215i 0.772437 3.38427i
\(9\) 0.529951 + 7.07171i 0.176650 + 2.35724i
\(10\) −4.19144 1.29289i −1.32545 0.408847i
\(11\) −0.368753 + 4.92067i −0.111183 + 1.48364i 0.610831 + 0.791761i \(0.290835\pi\)
−0.722015 + 0.691878i \(0.756784\pi\)
\(12\) −6.46308 + 16.4677i −1.86573 + 4.75380i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) 5.33041 + 4.95665i 1.42461 + 1.32472i
\(15\) 4.56325 + 2.19755i 1.17823 + 0.567404i
\(16\) −11.6365 + 10.7971i −2.90912 + 2.69927i
\(17\) 0.173824 0.0261997i 0.0421584 0.00635436i −0.127929 0.991783i \(-0.540833\pi\)
0.170088 + 0.985429i \(0.445595\pi\)
\(18\) 9.75493 16.8960i 2.29926 3.98243i
\(19\) −0.907059 1.57107i −0.208094 0.360429i 0.743020 0.669269i \(-0.233393\pi\)
−0.951114 + 0.308840i \(0.900059\pi\)
\(20\) 5.53576 + 6.94163i 1.23783 + 1.55219i
\(21\) −5.23319 6.57681i −1.14198 1.43518i
\(22\) 8.46415 10.6137i 1.80456 2.26285i
\(23\) 3.03055 + 0.456783i 0.631914 + 0.0952458i 0.457186 0.889371i \(-0.348857\pi\)
0.174728 + 0.984617i \(0.444095\pi\)
\(24\) 25.7704 17.5700i 5.26036 3.58645i
\(25\) −2.03091 + 1.38465i −0.406183 + 0.276931i
\(26\) −2.72042 0.410037i −0.533518 0.0804149i
\(27\) −8.10390 + 10.1620i −1.55960 + 1.95567i
\(28\) −3.26299 14.3678i −0.616648 2.71526i
\(29\) 2.94080 + 3.68765i 0.546093 + 0.684779i 0.975919 0.218133i \(-0.0699966\pi\)
−0.429826 + 0.902912i \(0.641425\pi\)
\(30\) −6.96704 12.0673i −1.27200 2.20317i
\(31\) 1.41446 2.44991i 0.254044 0.440017i −0.710591 0.703605i \(-0.751573\pi\)
0.964635 + 0.263588i \(0.0849058\pi\)
\(32\) 23.7666 3.58225i 4.20139 0.633257i
\(33\) −11.4909 + 10.6620i −2.00031 + 1.85601i
\(34\) −0.435723 0.209833i −0.0747258 0.0359861i
\(35\) −4.17184 + 0.624183i −0.705169 + 0.105506i
\(36\) −35.5805 + 17.1347i −5.93009 + 2.85578i
\(37\) −0.572623 + 1.45902i −0.0941387 + 0.239861i −0.970185 0.242366i \(-0.922077\pi\)
0.876046 + 0.482227i \(0.160172\pi\)
\(38\) −0.372971 + 4.97695i −0.0605039 + 0.807368i
\(39\) 3.03558 + 0.936354i 0.486083 + 0.149937i
\(40\) −1.16982 15.6101i −0.184964 2.46818i
\(41\) −2.68182 + 11.7498i −0.418830 + 1.83502i 0.120227 + 0.992746i \(0.461638\pi\)
−0.539057 + 0.842269i \(0.681219\pi\)
\(42\) 1.70300 + 23.0601i 0.262778 + 3.55824i
\(43\) −2.07203 9.07814i −0.315981 1.38440i −0.844533 0.535503i \(-0.820122\pi\)
0.528552 0.848901i \(-0.322735\pi\)
\(44\) −26.2583 + 8.09961i −3.95859 + 1.22106i
\(45\) 4.13071 + 10.5249i 0.615770 + 1.56896i
\(46\) −6.18086 5.73500i −0.911317 0.845579i
\(47\) 1.58712 + 1.08208i 0.231505 + 0.157837i 0.673517 0.739172i \(-0.264783\pi\)
−0.442012 + 0.897009i \(0.645735\pi\)
\(48\) −50.4272 −7.27855
\(49\) 6.68452 + 2.07777i 0.954932 + 0.296824i
\(50\) 6.76238 0.956345
\(51\) 0.461393 + 0.314572i 0.0646079 + 0.0440489i
\(52\) 4.08223 + 3.78775i 0.566103 + 0.525267i
\(53\) −1.61718 4.12052i −0.222137 0.565997i 0.775745 0.631047i \(-0.217374\pi\)
−0.997882 + 0.0650503i \(0.979279\pi\)
\(54\) 34.1698 10.5400i 4.64992 1.43431i
\(55\) 1.75064 + 7.67006i 0.236056 + 1.03423i
\(56\) −9.51658 + 24.1708i −1.27171 + 3.22997i
\(57\) 1.28237 5.61845i 0.169855 0.744182i
\(58\) −0.969718 12.9400i −0.127330 1.69910i
\(59\) −8.14491 2.51237i −1.06038 0.327083i −0.284965 0.958538i \(-0.591982\pi\)
−0.775413 + 0.631455i \(0.782458\pi\)
\(60\) −2.10777 + 28.1262i −0.272111 + 3.63107i
\(61\) −0.0565384 + 0.144057i −0.00723900 + 0.0184447i −0.934448 0.356101i \(-0.884106\pi\)
0.927209 + 0.374545i \(0.122201\pi\)
\(62\) −7.01202 + 3.37681i −0.890528 + 0.428856i
\(63\) 1.42238 18.7084i 0.179203 2.35704i
\(64\) −30.9718 14.9152i −3.87147 1.86440i
\(65\) 1.16875 1.08444i 0.144965 0.134508i
\(66\) 42.6437 6.42750i 5.24908 0.791171i
\(67\) −1.89705 + 3.28579i −0.231762 + 0.401423i −0.958327 0.285675i \(-0.907782\pi\)
0.726565 + 0.687098i \(0.241116\pi\)
\(68\) 0.489462 + 0.847773i 0.0593560 + 0.102808i
\(69\) 6.07027 + 7.61188i 0.730775 + 0.916363i
\(70\) 10.4504 + 5.04658i 1.24906 + 0.603182i
\(71\) 5.83006 7.31067i 0.691901 0.867617i −0.304488 0.952516i \(-0.598485\pi\)
0.996390 + 0.0848994i \(0.0270569\pi\)
\(72\) 68.8492 + 10.3774i 8.11396 + 1.22298i
\(73\) 0.801637 0.546547i 0.0938245 0.0639684i −0.515499 0.856890i \(-0.672393\pi\)
0.609324 + 0.792922i \(0.291441\pi\)
\(74\) 3.56279 2.42907i 0.414165 0.282373i
\(75\) −7.72123 1.16379i −0.891571 0.134383i
\(76\) 6.29879 7.89843i 0.722521 0.906012i
\(77\) 2.91888 12.7249i 0.332637 1.45014i
\(78\) −5.44906 6.83291i −0.616985 0.773674i
\(79\) 1.33260 + 2.30814i 0.149929 + 0.259686i 0.931201 0.364506i \(-0.118762\pi\)
−0.781272 + 0.624191i \(0.785429\pi\)
\(80\) −12.6544 + 21.9181i −1.41481 + 2.45052i
\(81\) −19.7917 + 2.98312i −2.19908 + 0.331458i
\(82\) 24.3057 22.5524i 2.68411 2.49049i
\(83\) 11.0922 + 5.34173i 1.21753 + 0.586331i 0.928622 0.371027i \(-0.120994\pi\)
0.288906 + 0.957357i \(0.406708\pi\)
\(84\) 23.4463 40.5087i 2.55820 4.41986i
\(85\) 0.252512 0.121603i 0.0273888 0.0131897i
\(86\) −9.35916 + 23.8467i −1.00922 + 2.57146i
\(87\) −1.11972 + 14.9417i −0.120047 + 1.60191i
\(88\) 46.2958 + 14.2803i 4.93514 + 1.52229i
\(89\) 0.386015 + 5.15102i 0.0409176 + 0.546007i 0.979565 + 0.201128i \(0.0644608\pi\)
−0.938647 + 0.344879i \(0.887920\pi\)
\(90\) 6.92167 30.3258i 0.729608 3.19662i
\(91\) −2.52905 + 0.777110i −0.265117 + 0.0814633i
\(92\) 3.79781 + 16.6393i 0.395949 + 1.73477i
\(93\) 8.58741 2.64887i 0.890473 0.274675i
\(94\) −1.93070 4.91935i −0.199137 0.507393i
\(95\) −2.12025 1.96730i −0.217533 0.201841i
\(96\) 63.0856 + 43.0110i 6.43864 + 4.38979i
\(97\) −5.09347 −0.517164 −0.258582 0.965989i \(-0.583255\pi\)
−0.258582 + 0.965989i \(0.583255\pi\)
\(98\) −11.9745 15.0825i −1.20961 1.52356i
\(99\) −34.9930 −3.51692
\(100\) −11.3098 7.71087i −1.13098 0.771087i
\(101\) 1.71767 + 1.59377i 0.170915 + 0.158586i 0.760992 0.648761i \(-0.224712\pi\)
−0.590078 + 0.807346i \(0.700903\pi\)
\(102\) −0.561277 1.43011i −0.0555747 0.141602i
\(103\) 2.96975 0.916046i 0.292618 0.0902606i −0.144971 0.989436i \(-0.546309\pi\)
0.437589 + 0.899175i \(0.355833\pi\)
\(104\) −2.18478 9.57215i −0.214235 0.938626i
\(105\) −11.0636 7.56063i −1.07970 0.737842i
\(106\) −2.70985 + 11.8726i −0.263204 + 1.15317i
\(107\) −0.986625 13.1656i −0.0953806 1.27277i −0.815435 0.578848i \(-0.803502\pi\)
0.720055 0.693917i \(-0.244117\pi\)
\(108\) −69.1657 21.3348i −6.65547 2.05294i
\(109\) 0.453817 6.05577i 0.0434678 0.580037i −0.932365 0.361519i \(-0.882258\pi\)
0.975833 0.218519i \(-0.0701225\pi\)
\(110\) 7.90749 20.1479i 0.753949 1.92103i
\(111\) −4.48600 + 2.16034i −0.425792 + 0.205051i
\(112\) 34.7265 23.6211i 3.28135 2.23198i
\(113\) 17.5072 + 8.43102i 1.64694 + 0.793124i 0.999520 + 0.0309889i \(0.00986567\pi\)
0.647418 + 0.762135i \(0.275849\pi\)
\(114\) −11.6223 + 10.7839i −1.08853 + 1.01001i
\(115\) 4.83179 0.728275i 0.450567 0.0679120i
\(116\) −13.1331 + 22.7473i −1.21938 + 2.11203i
\(117\) 3.54577 + 6.14145i 0.327806 + 0.567777i
\(118\) 14.6206 + 18.3337i 1.34594 + 1.68775i
\(119\) −0.465088 0.000503745i −0.0426346 4.61783e-5i
\(120\) 31.0049 38.8790i 2.83035 3.54915i
\(121\) −13.1999 1.98956i −1.19999 0.180869i
\(122\) 0.351774 0.239836i 0.0318482 0.0217137i
\(123\) −31.6332 + 21.5672i −2.85227 + 1.94465i
\(124\) 15.5777 + 2.34796i 1.39892 + 0.210853i
\(125\) −7.41377 + 9.29657i −0.663107 + 0.831510i
\(126\) −32.2271 + 40.3219i −2.87102 + 3.59216i
\(127\) 8.11865 + 10.1805i 0.720414 + 0.903370i 0.998361 0.0572260i \(-0.0182256\pi\)
−0.277948 + 0.960596i \(0.589654\pi\)
\(128\) 23.2517 + 40.2731i 2.05518 + 3.55967i
\(129\) 14.7902 25.6173i 1.30220 2.25548i
\(130\) −4.33732 + 0.653746i −0.380408 + 0.0573373i
\(131\) 7.75152 7.19236i 0.677253 0.628399i −0.264626 0.964351i \(-0.585249\pi\)
0.941879 + 0.335952i \(0.109058\pi\)
\(132\) −78.6486 37.8752i −6.84548 3.29661i
\(133\) 1.74869 + 4.46982i 0.151631 + 0.387582i
\(134\) 9.40443 4.52893i 0.812419 0.391240i
\(135\) −7.57093 + 19.2904i −0.651602 + 1.66025i
\(136\) 0.128979 1.72111i 0.0110599 0.147584i
\(137\) 3.97814 + 1.22709i 0.339875 + 0.104838i 0.459994 0.887922i \(-0.347851\pi\)
−0.120119 + 0.992759i \(0.538328\pi\)
\(138\) −2.00165 26.7102i −0.170392 2.27372i
\(139\) 3.99923 17.5218i 0.339210 1.48618i −0.461509 0.887136i \(-0.652692\pi\)
0.800719 0.599041i \(-0.204451\pi\)
\(140\) −11.7233 20.3563i −0.990803 1.72042i
\(141\) 1.35785 + 5.94915i 0.114352 + 0.501009i
\(142\) −24.5822 + 7.58262i −2.06290 + 0.636319i
\(143\) 1.80276 + 4.59337i 0.150755 + 0.384117i
\(144\) −82.5204 76.5678i −6.87670 6.38065i
\(145\) 6.21338 + 4.23621i 0.515993 + 0.351798i
\(146\) −2.66923 −0.220907
\(147\) 11.0768 + 19.2819i 0.913596 + 1.59034i
\(148\) −8.72836 −0.717467
\(149\) 18.5026 + 12.6149i 1.51579 + 1.03345i 0.982228 + 0.187689i \(0.0600998\pi\)
0.533563 + 0.845760i \(0.320853\pi\)
\(150\) 15.7475 + 14.6116i 1.28578 + 1.19303i
\(151\) −3.20483 8.16578i −0.260805 0.664521i 0.739154 0.673537i \(-0.235226\pi\)
−0.999959 + 0.00901511i \(0.997130\pi\)
\(152\) −17.0203 + 5.25006i −1.38053 + 0.425836i
\(153\) 0.277395 + 1.21534i 0.0224260 + 0.0982548i
\(154\) −26.3557 + 24.4014i −2.12380 + 1.96632i
\(155\) 1.00364 4.39722i 0.0806141 0.353193i
\(156\) 1.32202 + 17.6411i 0.105846 + 1.41242i
\(157\) 4.47682 + 1.38091i 0.357289 + 0.110209i 0.468203 0.883621i \(-0.344902\pi\)
−0.110914 + 0.993830i \(0.535378\pi\)
\(158\) 0.547949 7.31187i 0.0435925 0.581701i
\(159\) 5.13734 13.0897i 0.407417 1.03808i
\(160\) 34.5256 16.6267i 2.72949 1.31445i
\(161\) −7.74582 2.39846i −0.610456 0.189025i
\(162\) 49.6118 + 23.8918i 3.89787 + 1.87711i
\(163\) 9.05091 8.39802i 0.708922 0.657783i −0.240909 0.970548i \(-0.577446\pi\)
0.949831 + 0.312764i \(0.101255\pi\)
\(164\) −66.3657 + 10.0030i −5.18229 + 0.781104i
\(165\) −12.4961 + 21.6439i −0.972821 + 1.68498i
\(166\) −16.9353 29.3327i −1.31443 2.27666i
\(167\) −6.23824 7.82251i −0.482730 0.605324i 0.479507 0.877538i \(-0.340816\pi\)
−0.962237 + 0.272214i \(0.912244\pi\)
\(168\) −74.3876 + 35.7240i −5.73913 + 2.75616i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −0.762445 0.114920i −0.0584768 0.00881397i
\(171\) 10.6295 7.24705i 0.812855 0.554195i
\(172\) 42.8442 29.2107i 3.26684 2.22730i
\(173\) −21.2725 3.20632i −1.61732 0.243772i −0.722884 0.690969i \(-0.757184\pi\)
−0.894435 + 0.447197i \(0.852422\pi\)
\(174\) 25.7015 32.2286i 1.94842 2.44325i
\(175\) 5.86234 2.81534i 0.443151 0.212819i
\(176\) −48.8378 61.2407i −3.68129 4.61619i
\(177\) −13.5385 23.4494i −1.01762 1.76257i
\(178\) 7.10547 12.3070i 0.532578 0.922452i
\(179\) 5.77441 0.870353i 0.431600 0.0650532i 0.0703502 0.997522i \(-0.477588\pi\)
0.361250 + 0.932469i \(0.382350\pi\)
\(180\) −46.1555 + 42.8260i −3.44022 + 3.19206i
\(181\) −13.5556 6.52802i −1.00758 0.485224i −0.144074 0.989567i \(-0.546020\pi\)
−0.863503 + 0.504343i \(0.831735\pi\)
\(182\) 6.95314 + 2.15301i 0.515401 + 0.159592i
\(183\) −0.442928 + 0.213303i −0.0327422 + 0.0157678i
\(184\) 10.9935 28.0110i 0.810451 2.06499i
\(185\) −0.186746 + 2.49196i −0.0137299 + 0.183212i
\(186\) −23.6252 7.28742i −1.73229 0.534339i
\(187\) 0.0648220 + 0.864990i 0.00474026 + 0.0632543i
\(188\) −2.38033 + 10.4289i −0.173603 + 0.760605i
\(189\) 25.2339 23.3628i 1.83550 1.69940i
\(190\) 1.77066 + 7.75778i 0.128457 + 0.562809i
\(191\) 14.0483 4.33334i 1.01650 0.313550i 0.258647 0.965972i \(-0.416723\pi\)
0.757856 + 0.652422i \(0.226247\pi\)
\(192\) −39.8963 101.654i −2.87927 7.33626i
\(193\) −2.50574 2.32499i −0.180367 0.167356i 0.584822 0.811162i \(-0.301164\pi\)
−0.765190 + 0.643805i \(0.777355\pi\)
\(194\) 11.5780 + 7.89375i 0.831252 + 0.566738i
\(195\) 5.06483 0.362700
\(196\) 2.82889 + 38.8789i 0.202063 + 2.77706i
\(197\) 1.90458 0.135696 0.0678480 0.997696i \(-0.478387\pi\)
0.0678480 + 0.997696i \(0.478387\pi\)
\(198\) 79.5426 + 54.2313i 5.65285 + 3.85405i
\(199\) 8.97062 + 8.32352i 0.635911 + 0.590039i 0.930816 0.365488i \(-0.119098\pi\)
−0.294906 + 0.955526i \(0.595288\pi\)
\(200\) 8.81701 + 22.4654i 0.623457 + 1.58854i
\(201\) −11.5173 + 3.55262i −0.812369 + 0.250583i
\(202\) −1.43446 6.28480i −0.100929 0.442197i
\(203\) −6.22787 10.8140i −0.437111 0.758995i
\(204\) −0.691988 + 3.03180i −0.0484488 + 0.212268i
\(205\) 1.43595 + 19.1615i 0.100291 + 1.33830i
\(206\) −8.17021 2.52018i −0.569245 0.175589i
\(207\) −1.62419 + 21.6733i −0.112889 + 1.50640i
\(208\) −5.79943 + 14.7767i −0.402118 + 1.02458i
\(209\) 8.06521 3.88400i 0.557882 0.268662i
\(210\) 13.4315 + 34.3323i 0.926863 + 2.36915i
\(211\) −6.71534 3.23394i −0.462303 0.222633i 0.188210 0.982129i \(-0.439732\pi\)
−0.650512 + 0.759496i \(0.725446\pi\)
\(212\) 18.0700 16.7665i 1.24105 1.15153i
\(213\) 29.3727 4.42723i 2.01259 0.303349i
\(214\) −18.1610 + 31.4558i −1.24146 + 2.15027i
\(215\) −7.42302 12.8570i −0.506245 0.876843i
\(216\) 79.5667 + 99.7734i 5.41383 + 6.78872i
\(217\) −4.67291 + 5.84664i −0.317218 + 0.396896i
\(218\) −10.4167 + 13.0621i −0.705505 + 0.884676i
\(219\) 3.04770 + 0.459367i 0.205945 + 0.0310412i
\(220\) −36.1988 + 24.6799i −2.44052 + 1.66392i
\(221\) 0.145242 0.0990243i 0.00977004 0.00666110i
\(222\) 13.5452 + 2.04161i 0.909093 + 0.137024i
\(223\) 13.8122 17.3199i 0.924932 1.15983i −0.0619003 0.998082i \(-0.519716\pi\)
0.986832 0.161746i \(-0.0517125\pi\)
\(224\) −63.5909 0.0688764i −4.24884 0.00460200i
\(225\) −10.8681 13.6282i −0.724543 0.908548i
\(226\) −26.7295 46.2968i −1.77802 3.07962i
\(227\) 9.04241 15.6619i 0.600166 1.03952i −0.392629 0.919697i \(-0.628435\pi\)
0.992795 0.119821i \(-0.0382322\pi\)
\(228\) 31.7343 4.78317i 2.10165 0.316773i
\(229\) −5.63421 + 5.22778i −0.372319 + 0.345461i −0.844034 0.536290i \(-0.819826\pi\)
0.471715 + 0.881751i \(0.343635\pi\)
\(230\) −12.1118 5.83275i −0.798630 0.384600i
\(231\) 34.2921 23.3256i 2.25625 1.53471i
\(232\) 41.7237 20.0931i 2.73930 1.31918i
\(233\) −8.69410 + 22.1522i −0.569569 + 1.45124i 0.298313 + 0.954468i \(0.403576\pi\)
−0.867882 + 0.496771i \(0.834519\pi\)
\(234\) 1.45797 19.4553i 0.0953107 1.27183i
\(235\) 2.92653 + 0.902715i 0.190906 + 0.0588867i
\(236\) −3.54716 47.3335i −0.230900 3.08115i
\(237\) −1.88400 + 8.25433i −0.122379 + 0.536176i
\(238\) 1.05641 + 0.721928i 0.0684771 + 0.0467956i
\(239\) 0.466980 + 2.04597i 0.0302064 + 0.132343i 0.987783 0.155836i \(-0.0498072\pi\)
−0.957576 + 0.288179i \(0.906950\pi\)
\(240\) −76.8272 + 23.6980i −4.95917 + 1.52970i
\(241\) −1.24256 3.16598i −0.0800401 0.203939i 0.885252 0.465112i \(-0.153986\pi\)
−0.965292 + 0.261173i \(0.915891\pi\)
\(242\) 26.9213 + 24.9794i 1.73057 + 1.60573i
\(243\) −20.3171 13.8520i −1.30334 0.888604i
\(244\) −0.861802 −0.0551712
\(245\) 11.1605 + 0.0241763i 0.713017 + 0.00154456i
\(246\) 105.330 6.71559
\(247\) −1.49889 1.02193i −0.0953724 0.0650238i
\(248\) −20.3606 18.8919i −1.29290 1.19964i
\(249\) 14.2885 + 36.4064i 0.905494 + 2.30716i
\(250\) 31.2599 9.64239i 1.97705 0.609838i
\(251\) −1.51184 6.62381i −0.0954266 0.418091i 0.904539 0.426391i \(-0.140215\pi\)
−0.999966 + 0.00829975i \(0.997358\pi\)
\(252\) 99.8758 30.6892i 6.29158 1.93324i
\(253\) −3.36520 + 14.7439i −0.211569 + 0.926942i
\(254\) −2.67709 35.7233i −0.167976 2.24148i
\(255\) 0.850776 + 0.262430i 0.0532776 + 0.0164340i
\(256\) 4.42294 59.0200i 0.276434 3.68875i
\(257\) 2.38357 6.07323i 0.148683 0.378838i −0.837057 0.547116i \(-0.815726\pi\)
0.985739 + 0.168279i \(0.0538208\pi\)
\(258\) −73.3207 + 35.3094i −4.56475 + 2.19827i
\(259\) 2.07732 3.58904i 0.129078 0.223012i
\(260\) 7.99941 + 3.85231i 0.496102 + 0.238910i
\(261\) −24.5195 + 22.7508i −1.51772 + 1.40824i
\(262\) −28.7665 + 4.33586i −1.77720 + 0.267870i
\(263\) 11.8685 20.5569i 0.731843 1.26759i −0.224251 0.974531i \(-0.571994\pi\)
0.956095 0.293058i \(-0.0946731\pi\)
\(264\) 76.9531 + 133.287i 4.73613 + 8.20323i
\(265\) −4.40024 5.51772i −0.270304 0.338951i
\(266\) 2.95226 12.8704i 0.181015 0.789137i
\(267\) −10.2310 + 12.8292i −0.626126 + 0.785137i
\(268\) −20.8926 3.14906i −1.27622 0.192359i
\(269\) 16.0682 10.9551i 0.979698 0.667947i 0.0362068 0.999344i \(-0.488473\pi\)
0.943491 + 0.331398i \(0.107520\pi\)
\(270\) 47.1053 32.1159i 2.86674 1.95451i
\(271\) −9.15415 1.37977i −0.556075 0.0838149i −0.135008 0.990844i \(-0.543106\pi\)
−0.421067 + 0.907030i \(0.638344\pi\)
\(272\) −1.73981 + 2.18166i −0.105492 + 0.132282i
\(273\) −7.56851 3.65491i −0.458067 0.221205i
\(274\) −7.14100 8.95453i −0.431403 0.540963i
\(275\) −6.06452 10.5041i −0.365704 0.633418i
\(276\) −27.1088 + 46.9539i −1.63176 + 2.82629i
\(277\) −10.4511 + 1.57526i −0.627948 + 0.0946479i −0.455304 0.890336i \(-0.650469\pi\)
−0.172644 + 0.984984i \(0.555231\pi\)
\(278\) −36.2455 + 33.6309i −2.17386 + 2.01705i
\(279\) 18.0747 + 8.70429i 1.08210 + 0.521112i
\(280\) −3.13978 + 41.2972i −0.187638 + 2.46798i
\(281\) 8.69983 4.18962i 0.518988 0.249932i −0.156004 0.987756i \(-0.549861\pi\)
0.674992 + 0.737825i \(0.264147\pi\)
\(282\) 6.13330 15.6274i 0.365233 0.930598i
\(283\) −1.18027 + 15.7496i −0.0701597 + 0.936216i 0.845426 + 0.534093i \(0.179347\pi\)
−0.915585 + 0.402123i \(0.868272\pi\)
\(284\) 49.7588 + 15.3486i 2.95264 + 0.910769i
\(285\) −0.686634 9.16250i −0.0406727 0.542740i
\(286\) 3.02082 13.2351i 0.178625 0.782607i
\(287\) 11.6816 29.6698i 0.689545 1.75135i
\(288\) 37.9277 + 166.172i 2.23491 + 9.79180i
\(289\) −16.2152 + 5.00173i −0.953836 + 0.294219i
\(290\) −7.55848 19.2587i −0.443849 1.13091i
\(291\) −11.8612 11.0056i −0.695314 0.645157i
\(292\) 4.46416 + 3.04361i 0.261245 + 0.178114i
\(293\) 4.09534 0.239252 0.119626 0.992819i \(-0.461830\pi\)
0.119626 + 0.992819i \(0.461830\pi\)
\(294\) 4.70393 60.9962i 0.274339 3.55737i
\(295\) −13.5897 −0.791220
\(296\) 12.7149 + 8.66887i 0.739039 + 0.503868i
\(297\) −47.0154 43.6239i −2.72811 2.53132i
\(298\) −22.5081 57.3498i −1.30386 3.32218i
\(299\) 2.92863 0.903361i 0.169367 0.0522427i
\(300\) −9.67604 42.3935i −0.558646 2.44759i
\(301\) 1.81445 + 24.5693i 0.104583 + 1.41615i
\(302\) −5.37021 + 23.5284i −0.309021 + 1.35391i
\(303\) 0.556262 + 7.42280i 0.0319564 + 0.426429i
\(304\) 27.5179 + 8.48816i 1.57826 + 0.486829i
\(305\) −0.0184385 + 0.246045i −0.00105579 + 0.0140885i
\(306\) 1.25297 3.19250i 0.0716273 0.182503i
\(307\) −0.798423 + 0.384500i −0.0455684 + 0.0219446i −0.456529 0.889708i \(-0.650908\pi\)
0.410961 + 0.911653i \(0.365193\pi\)
\(308\) 71.9026 10.7579i 4.09703 0.612990i
\(309\) 8.89496 + 4.28359i 0.506017 + 0.243685i
\(310\) −9.09608 + 8.43993i −0.516623 + 0.479356i
\(311\) −26.9992 + 4.06947i −1.53098 + 0.230759i −0.859838 0.510567i \(-0.829436\pi\)
−0.671146 + 0.741326i \(0.734197\pi\)
\(312\) 15.5950 27.0113i 0.882893 1.52922i
\(313\) −8.20227 14.2067i −0.463619 0.803012i 0.535519 0.844523i \(-0.320116\pi\)
−0.999138 + 0.0415110i \(0.986783\pi\)
\(314\) −8.03616 10.0770i −0.453507 0.568679i
\(315\) −6.62491 29.1712i −0.373271 1.64361i
\(316\) −9.25385 + 11.6040i −0.520569 + 0.652773i
\(317\) −19.6379 2.95993i −1.10297 0.166246i −0.427776 0.903885i \(-0.640703\pi\)
−0.675196 + 0.737639i \(0.735941\pi\)
\(318\) −31.9638 + 21.7926i −1.79244 + 1.22207i
\(319\) −19.2301 + 13.1109i −1.07668 + 0.734069i
\(320\) −54.1956 8.16867i −3.02963 0.456643i
\(321\) 26.1496 32.7905i 1.45953 1.83019i
\(322\) 13.8900 + 17.4562i 0.774059 + 0.972798i
\(323\) −0.198830 0.249325i −0.0110632 0.0138728i
\(324\) −55.7306 96.5282i −3.09614 5.36268i
\(325\) −1.22901 + 2.12871i −0.0681733 + 0.118080i
\(326\) −33.5887 + 5.06268i −1.86031 + 0.280396i
\(327\) 14.1416 13.1215i 0.782033 0.725620i
\(328\) 106.612 + 51.3416i 5.88666 + 2.83487i
\(329\) −3.72178 3.46081i −0.205188 0.190801i
\(330\) 61.9482 29.8327i 3.41013 1.64223i
\(331\) 7.73167 19.7000i 0.424971 1.08281i −0.544751 0.838598i \(-0.683376\pi\)
0.969722 0.244211i \(-0.0785289\pi\)
\(332\) −5.12349 + 68.3682i −0.281188 + 3.75220i
\(333\) −10.6212 3.27621i −0.582039 0.179535i
\(334\) 2.05704 + 27.4493i 0.112556 + 1.50196i
\(335\) −1.34606 + 5.89749i −0.0735433 + 0.322214i
\(336\) 131.906 + 20.0278i 7.19607 + 1.09261i
\(337\) −1.42983 6.26451i −0.0778880 0.341250i 0.920937 0.389711i \(-0.127425\pi\)
−0.998825 + 0.0484617i \(0.984568\pi\)
\(338\) −2.62892 + 0.810915i −0.142994 + 0.0441079i
\(339\) 22.5519 + 57.4614i 1.22485 + 3.12087i
\(340\) 1.14411 + 1.06158i 0.0620483 + 0.0575724i
\(341\) 11.5336 + 7.86349i 0.624581 + 0.425832i
\(342\) −35.3932 −1.91384
\(343\) −16.6600 8.08982i −0.899554 0.436809i
\(344\) −91.4243 −4.92927
\(345\) 12.8254 + 8.74419i 0.690495 + 0.470772i
\(346\) 43.3856 + 40.2559i 2.33242 + 2.16417i
\(347\) 0.928472 + 2.36571i 0.0498430 + 0.126998i 0.953627 0.300991i \(-0.0973175\pi\)
−0.903784 + 0.427989i \(0.859222\pi\)
\(348\) −79.7335 + 24.5945i −4.27417 + 1.31841i
\(349\) −1.06595 4.67021i −0.0570587 0.249991i 0.938353 0.345680i \(-0.112352\pi\)
−0.995411 + 0.0956892i \(0.969495\pi\)
\(350\) −17.6888 2.68576i −0.945508 0.143560i
\(351\) −2.89225 + 12.6718i −0.154377 + 0.676369i
\(352\) 8.86302 + 118.269i 0.472401 + 6.30375i
\(353\) 14.8405 + 4.57769i 0.789880 + 0.243646i 0.663342 0.748316i \(-0.269137\pi\)
0.126538 + 0.991962i \(0.459613\pi\)
\(354\) −5.56686 + 74.2846i −0.295875 + 3.94818i
\(355\) 5.44663 13.8778i 0.289077 0.736557i
\(356\) −25.9168 + 12.4809i −1.37359 + 0.661485i
\(357\) −1.08196 1.00610i −0.0572635 0.0532483i
\(358\) −14.4747 6.97064i −0.765011 0.368410i
\(359\) 18.5797 17.2394i 0.980598 0.909862i −0.0153420 0.999882i \(-0.504884\pi\)
0.995940 + 0.0900204i \(0.0286932\pi\)
\(360\) 109.770 16.5452i 5.78541 0.872010i
\(361\) 7.85449 13.6044i 0.413394 0.716020i
\(362\) 20.6962 + 35.8470i 1.08777 + 1.88407i
\(363\) −26.4397 33.1543i −1.38772 1.74015i
\(364\) −9.17382 11.5292i −0.480839 0.604294i
\(365\) 0.964467 1.20940i 0.0504825 0.0633030i
\(366\) 1.33739 + 0.201580i 0.0699067 + 0.0105367i
\(367\) 20.6998 14.1129i 1.08052 0.736686i 0.114053 0.993475i \(-0.463617\pi\)
0.966468 + 0.256788i \(0.0826643\pi\)
\(368\) −40.1969 + 27.4058i −2.09541 + 1.42862i
\(369\) −84.5126 12.7382i −4.39955 0.663125i
\(370\) 4.28647 5.37506i 0.222843 0.279436i
\(371\) 2.59367 + 11.4206i 0.134657 + 0.592929i
\(372\) 31.2026 + 39.1268i 1.61778 + 2.02863i
\(373\) 10.1677 + 17.6110i 0.526465 + 0.911865i 0.999525 + 0.0308340i \(0.00981632\pi\)
−0.473059 + 0.881031i \(0.656850\pi\)
\(374\) 1.19319 2.06667i 0.0616986 0.106865i
\(375\) −37.3517 + 5.62986i −1.92883 + 0.290725i
\(376\) 13.8253 12.8280i 0.712987 0.661555i
\(377\) 4.24958 + 2.04649i 0.218865 + 0.105400i
\(378\) −93.5665 + 13.9992i −4.81254 + 0.720044i
\(379\) −9.29295 + 4.47525i −0.477347 + 0.229878i −0.657056 0.753842i \(-0.728199\pi\)
0.179709 + 0.983720i \(0.442484\pi\)
\(380\) 5.88453 14.9935i 0.301870 0.769153i
\(381\) −3.09121 + 41.2493i −0.158368 + 2.11327i
\(382\) −38.6491 11.9217i −1.97746 0.609965i
\(383\) 2.70725 + 36.1257i 0.138334 + 1.84594i 0.446719 + 0.894675i \(0.352593\pi\)
−0.308385 + 0.951262i \(0.599788\pi\)
\(384\) −32.8726 + 144.024i −1.67752 + 7.34971i
\(385\) −1.53302 20.7584i −0.0781299 1.05795i
\(386\) 2.09260 + 9.16829i 0.106511 + 0.466653i
\(387\) 63.0999 19.4637i 3.20755 0.989397i
\(388\) −10.3627 26.4038i −0.526089 1.34045i
\(389\) 28.1934 + 26.1596i 1.42946 + 1.32635i 0.865847 + 0.500308i \(0.166780\pi\)
0.563614 + 0.826038i \(0.309410\pi\)
\(390\) −11.5129 7.84935i −0.582977 0.397467i
\(391\) 0.538750 0.0272457
\(392\) 34.4930 59.4458i 1.74216 3.00247i
\(393\) 33.5916 1.69447
\(394\) −4.32932 2.95168i −0.218108 0.148703i
\(395\) 3.11495 + 2.89025i 0.156730 + 0.145424i
\(396\) −71.1937 181.399i −3.57762 9.11562i
\(397\) 33.5584 10.3514i 1.68425 0.519521i 0.702821 0.711367i \(-0.251923\pi\)
0.981425 + 0.191845i \(0.0614472\pi\)
\(398\) −7.49156 32.8227i −0.375518 1.64525i
\(399\) −5.58584 + 14.1873i −0.279642 + 0.710252i
\(400\) 8.68247 38.0404i 0.434124 1.90202i
\(401\) −2.30616 30.7736i −0.115164 1.53676i −0.693198 0.720747i \(-0.743799\pi\)
0.578034 0.816013i \(-0.303820\pi\)
\(402\) 31.6858 + 9.77378i 1.58035 + 0.487472i
\(403\) 0.211405 2.82100i 0.0105308 0.140524i
\(404\) −4.76723 + 12.1467i −0.237178 + 0.604321i
\(405\) −28.7513 + 13.8459i −1.42866 + 0.688007i
\(406\) −2.60271 + 34.2332i −0.129170 + 1.69897i
\(407\) −6.96820 3.35571i −0.345401 0.166336i
\(408\) 4.01918 3.72925i 0.198979 0.184625i
\(409\) −32.2611 + 4.86258i −1.59521 + 0.240439i −0.885700 0.464258i \(-0.846321\pi\)
−0.709509 + 0.704697i \(0.751083\pi\)
\(410\) 26.4319 45.7814i 1.30538 2.26098i
\(411\) 6.61248 + 11.4532i 0.326170 + 0.564942i
\(412\) 10.7906 + 13.5310i 0.531617 + 0.666626i
\(413\) 20.3074 + 9.80665i 0.999263 + 0.482554i
\(414\) 37.2806 46.7485i 1.83224 2.29756i
\(415\) 19.4096 + 2.92552i 0.952779 + 0.143608i
\(416\) 19.8587 13.5395i 0.973654 0.663826i
\(417\) 47.1726 32.1617i 2.31005 1.57497i
\(418\) −24.3524 3.67053i −1.19111 0.179532i
\(419\) 4.17159 5.23101i 0.203796 0.255552i −0.669422 0.742883i \(-0.733458\pi\)
0.873217 + 0.487331i \(0.162029\pi\)
\(420\) 16.6841 72.7345i 0.814100 3.54908i
\(421\) −11.6074 14.5552i −0.565711 0.709379i 0.413891 0.910326i \(-0.364169\pi\)
−0.979602 + 0.200947i \(0.935598\pi\)
\(422\) 10.2528 + 17.7583i 0.499098 + 0.864462i
\(423\) −6.81105 + 11.7971i −0.331164 + 0.573594i
\(424\) −42.9754 + 6.47750i −2.08707 + 0.314575i
\(425\) −0.316743 + 0.293895i −0.0153643 + 0.0142560i
\(426\) −73.6285 35.4576i −3.56731 1.71793i
\(427\) 0.205106 0.354367i 0.00992576 0.0171490i
\(428\) 66.2412 31.9001i 3.20189 1.54195i
\(429\) −5.72687 + 14.5918i −0.276496 + 0.704500i
\(430\) −3.05225 + 40.7294i −0.147192 + 1.96415i
\(431\) −21.8730 6.74693i −1.05359 0.324988i −0.280874 0.959745i \(-0.590624\pi\)
−0.772712 + 0.634757i \(0.781100\pi\)
\(432\) −15.4187 205.748i −0.741831 9.89905i
\(433\) 5.23206 22.9232i 0.251437 1.10162i −0.678703 0.734412i \(-0.737458\pi\)
0.930140 0.367204i \(-0.119685\pi\)
\(434\) 19.6830 6.04806i 0.944814 0.290316i
\(435\) 5.31584 + 23.2902i 0.254875 + 1.11668i
\(436\) 32.3155 9.96802i 1.54763 0.477382i
\(437\) −2.03125 5.17555i −0.0971680 0.247580i
\(438\) −6.21583 5.76745i −0.297004 0.275579i
\(439\) 0.994978 + 0.678364i 0.0474877 + 0.0323766i 0.586831 0.809709i \(-0.300375\pi\)
−0.539344 + 0.842086i \(0.681328\pi\)
\(440\) 77.2437 3.68245
\(441\) −11.1509 + 48.3721i −0.530996 + 2.30343i
\(442\) −0.483616 −0.0230033
\(443\) 3.69885 + 2.52183i 0.175738 + 0.119816i 0.647994 0.761645i \(-0.275608\pi\)
−0.472257 + 0.881461i \(0.656560\pi\)
\(444\) −20.3257 18.8595i −0.964616 0.895033i
\(445\) 3.00880 + 7.66630i 0.142631 + 0.363418i
\(446\) −58.2385 + 17.9642i −2.75767 + 0.850630i
\(447\) 15.8298 + 69.3551i 0.748726 + 3.28038i
\(448\) 75.0913 + 51.3156i 3.54773 + 2.42443i
\(449\) 2.07232 9.07942i 0.0977988 0.428485i −0.902197 0.431324i \(-0.858047\pi\)
0.999996 + 0.00283933i \(0.000903788\pi\)
\(450\) 3.58373 + 47.8216i 0.168939 + 2.25433i
\(451\) −56.8281 17.5292i −2.67593 0.825416i
\(452\) −8.08657 + 107.908i −0.380360 + 5.07556i
\(453\) 10.1808 25.9404i 0.478338 1.21878i
\(454\) −44.8268 + 21.5875i −2.10383 + 1.01315i
\(455\) −3.48787 + 2.37246i −0.163514 + 0.111223i
\(456\) −50.9790 24.5502i −2.38731 1.14967i
\(457\) 4.69402 4.35542i 0.219577 0.203738i −0.562713 0.826653i \(-0.690242\pi\)
0.782290 + 0.622915i \(0.214052\pi\)
\(458\) 20.9090 3.15153i 0.977015 0.147261i
\(459\) −1.14241 + 1.97871i −0.0533231 + 0.0923583i
\(460\) 13.6056 + 23.5656i 0.634365 + 1.09875i
\(461\) −7.80556 9.78786i −0.363541 0.455866i 0.566098 0.824338i \(-0.308453\pi\)
−0.929639 + 0.368472i \(0.879881\pi\)
\(462\) −114.099 0.123583i −5.30836 0.00574958i
\(463\) −2.28300 + 2.86279i −0.106100 + 0.133045i −0.832046 0.554706i \(-0.812831\pi\)
0.725946 + 0.687751i \(0.241402\pi\)
\(464\) −74.0363 11.1592i −3.43705 0.518052i
\(465\) 11.8383 8.07123i 0.548989 0.374294i
\(466\) 54.0935 36.8803i 2.50583 1.70845i
\(467\) 18.6298 + 2.80800i 0.862086 + 0.129939i 0.565179 0.824968i \(-0.308807\pi\)
0.296907 + 0.954907i \(0.404045\pi\)
\(468\) −24.6225 + 30.8756i −1.13817 + 1.42723i
\(469\) 6.26724 7.84143i 0.289394 0.362084i
\(470\) −5.25330 6.58743i −0.242317 0.303856i
\(471\) 7.44139 + 12.8889i 0.342881 + 0.593887i
\(472\) −41.8437 + 72.4753i −1.92601 + 3.33595i
\(473\) 45.4346 6.84817i 2.08909 0.314879i
\(474\) 17.0749 15.8432i 0.784275 0.727701i
\(475\) 4.01755 + 1.93475i 0.184338 + 0.0887724i
\(476\) −0.943618 2.41198i −0.0432506 0.110553i
\(477\) 28.2821 13.6199i 1.29495 0.623613i
\(478\) 2.10931 5.37442i 0.0964774 0.245820i
\(479\) −0.818249 + 10.9188i −0.0373867 + 0.498891i 0.946808 + 0.321800i \(0.104288\pi\)
−0.984194 + 0.177091i \(0.943331\pi\)
\(480\) 116.325 + 35.8816i 5.30950 + 1.63776i
\(481\) 0.117129 + 1.56298i 0.00534064 + 0.0712659i
\(482\) −2.08210 + 9.12229i −0.0948372 + 0.415509i
\(483\) −12.8553 22.3218i −0.584936 1.01568i
\(484\) −16.5417 72.4741i −0.751898 3.29428i
\(485\) −7.76004 + 2.39365i −0.352365 + 0.108690i
\(486\) 24.7154 + 62.9739i 1.12112 + 2.85656i
\(487\) −4.33623 4.02343i −0.196493 0.182319i 0.575790 0.817598i \(-0.304695\pi\)
−0.772283 + 0.635279i \(0.780885\pi\)
\(488\) 1.25542 + 0.855928i 0.0568300 + 0.0387460i
\(489\) 39.2226 1.77371
\(490\) −25.3315 17.3512i −1.14436 0.783847i
\(491\) −0.780851 −0.0352393 −0.0176197 0.999845i \(-0.505609\pi\)
−0.0176197 + 0.999845i \(0.505609\pi\)
\(492\) −176.159 120.103i −7.94187 5.41468i
\(493\) 0.607796 + 0.563952i 0.0273738 + 0.0253991i
\(494\) 1.82338 + 4.64590i 0.0820378 + 0.209029i
\(495\) −53.3127 + 16.4448i −2.39623 + 0.739138i
\(496\) 9.99257 + 43.7803i 0.448680 + 1.96579i
\(497\) −18.1536 + 16.8076i −0.814302 + 0.753922i
\(498\) 23.9426 104.899i 1.07289 4.70066i
\(499\) 2.71838 + 36.2743i 0.121692 + 1.62386i 0.639797 + 0.768544i \(0.279019\pi\)
−0.518105 + 0.855317i \(0.673362\pi\)
\(500\) −63.2755 19.5179i −2.82977 0.872867i
\(501\) 2.37524 31.6954i 0.106118 1.41604i
\(502\) −6.82885 + 17.3996i −0.304787 + 0.776583i
\(503\) 11.6386 5.60488i 0.518941 0.249909i −0.156031 0.987752i \(-0.549870\pi\)
0.674972 + 0.737843i \(0.264156\pi\)
\(504\) −175.972 54.4891i −7.83843 2.42714i
\(505\) 3.36590 + 1.62093i 0.149780 + 0.0721305i
\(506\) 30.4992 28.2992i 1.35586 1.25805i
\(507\) 3.14124 0.473465i 0.139507 0.0210273i
\(508\) −36.2566 + 62.7982i −1.60863 + 2.78622i
\(509\) 16.5012 + 28.5810i 0.731405 + 1.26683i 0.956283 + 0.292443i \(0.0944683\pi\)
−0.224878 + 0.974387i \(0.572198\pi\)
\(510\) −1.52719 1.91504i −0.0676253 0.0847995i
\(511\) −2.31397 + 1.11126i −0.102364 + 0.0491593i
\(512\) −43.5329 + 54.5885i −1.92390 + 2.41249i
\(513\) 23.3159 + 3.51431i 1.02942 + 0.155160i
\(514\) −14.8302 + 10.1111i −0.654134 + 0.445981i
\(515\) 4.09399 2.79124i 0.180403 0.122997i
\(516\) 162.887 + 24.5513i 7.17072 + 1.08081i
\(517\) −5.90981 + 7.41066i −0.259913 + 0.325921i
\(518\) −10.2842 + 4.93888i −0.451860 + 0.217002i
\(519\) −42.6093 53.4304i −1.87034 2.34534i
\(520\) −7.82695 13.5567i −0.343235 0.594500i
\(521\) −4.87265 + 8.43967i −0.213475 + 0.369749i −0.952800 0.303600i \(-0.901811\pi\)
0.739325 + 0.673349i \(0.235145\pi\)
\(522\) 90.9939 13.7151i 3.98269 0.600295i
\(523\) −12.8643 + 11.9363i −0.562518 + 0.521940i −0.909375 0.415978i \(-0.863439\pi\)
0.346857 + 0.937918i \(0.387249\pi\)
\(524\) 53.0547 + 25.5498i 2.31771 + 1.11615i
\(525\) 19.7348 + 6.11078i 0.861296 + 0.266696i
\(526\) −58.8369 + 28.3343i −2.56541 + 1.23544i
\(527\) 0.181679 0.462911i 0.00791407 0.0201647i
\(528\) 18.5952 248.136i 0.809253 10.7987i
\(529\) −13.0026 4.01076i −0.565329 0.174381i
\(530\) 1.45096 + 19.3617i 0.0630258 + 0.841020i
\(531\) 13.4504 58.9299i 0.583696 2.55734i
\(532\) −19.6132 + 18.1589i −0.850338 + 0.787286i
\(533\) 2.68182 + 11.7498i 0.116163 + 0.508942i
\(534\) 43.1385 13.3065i 1.86679 0.575827i
\(535\) −7.69026 19.5945i −0.332479 0.847142i
\(536\) 27.3074 + 25.3376i 1.17950 + 1.09442i
\(537\) 15.3275 + 10.4501i 0.661428 + 0.450954i
\(538\) −53.5028 −2.30667
\(539\) −12.6890 + 32.1262i −0.546553 + 1.38377i
\(540\) −115.402 −4.96611
\(541\) −0.416625 0.284050i −0.0179121 0.0122123i 0.554331 0.832296i \(-0.312974\pi\)
−0.572243 + 0.820084i \(0.693927\pi\)
\(542\) 18.6700 + 17.3232i 0.801946 + 0.744097i
\(543\) −17.4616 44.4915i −0.749350 1.90931i
\(544\) 4.03735 1.24536i 0.173100 0.0533943i
\(545\) −2.15448 9.43939i −0.0922877 0.404339i
\(546\) 11.5397 + 20.0375i 0.493855 + 0.857525i
\(547\) 1.92894 8.45124i 0.0824755 0.361349i −0.916803 0.399341i \(-0.869239\pi\)
0.999278 + 0.0379920i \(0.0120961\pi\)
\(548\) 1.73250 + 23.1186i 0.0740088 + 0.987579i
\(549\) −1.04869 0.323479i −0.0447572 0.0138058i
\(550\) −2.49365 + 33.2755i −0.106330 + 1.41887i
\(551\) 3.12608 7.96513i 0.133176 0.339326i
\(552\) 86.1243 41.4753i 3.66569 1.76530i
\(553\) −2.56908 6.56681i −0.109248 0.279249i
\(554\) 26.1978 + 12.6162i 1.11304 + 0.536011i
\(555\) −5.81928 + 5.39951i −0.247015 + 0.229196i
\(556\) 98.9668 14.9168i 4.19713 0.632615i
\(557\) −1.62814 + 2.82001i −0.0689863 + 0.119488i −0.898455 0.439065i \(-0.855310\pi\)
0.829469 + 0.558553i \(0.188643\pi\)
\(558\) −27.5959 47.7974i −1.16823 2.02343i
\(559\) −5.80569 7.28011i −0.245555 0.307916i
\(560\) 41.8061 52.3069i 1.76663 2.21037i
\(561\) −1.71805 + 2.15436i −0.0725360 + 0.0909573i
\(562\) −26.2686 3.95935i −1.10807 0.167015i
\(563\) −9.70997 + 6.62014i −0.409226 + 0.279006i −0.750386 0.660999i \(-0.770133\pi\)
0.341160 + 0.940005i \(0.389180\pi\)
\(564\) −28.0770 + 19.1425i −1.18225 + 0.806046i
\(565\) 30.6348 + 4.61745i 1.28881 + 0.194258i
\(566\) 27.0912 33.9713i 1.13873 1.42792i
\(567\) 52.9554 + 0.0573569i 2.22392 + 0.00240876i
\(568\) −57.2414 71.7784i −2.40180 3.01176i
\(569\) 2.47652 + 4.28945i 0.103821 + 0.179823i 0.913256 0.407386i \(-0.133560\pi\)
−0.809435 + 0.587210i \(0.800226\pi\)
\(570\) −12.6390 + 21.8914i −0.529391 + 0.916932i
\(571\) −30.8711 + 4.65306i −1.29191 + 0.194725i −0.758803 0.651321i \(-0.774215\pi\)
−0.533111 + 0.846045i \(0.678977\pi\)
\(572\) −20.1436 + 18.6905i −0.842247 + 0.781491i
\(573\) 42.0775 + 20.2634i 1.75781 + 0.846518i
\(574\) −72.5350 + 49.3386i −3.02755 + 2.05935i
\(575\) −6.78728 + 3.26858i −0.283049 + 0.136309i
\(576\) 89.0625 226.927i 3.71094 9.45531i
\(577\) −0.382173 + 5.09974i −0.0159101 + 0.212305i 0.983583 + 0.180458i \(0.0577580\pi\)
−0.999493 + 0.0318471i \(0.989861\pi\)
\(578\) 44.6104 + 13.7605i 1.85555 + 0.572361i
\(579\) −0.811477 10.8284i −0.0337238 0.450013i
\(580\) −9.31870 + 40.8279i −0.386938 + 1.69529i
\(581\) −26.8932 18.3781i −1.11572 0.762454i
\(582\) 9.90552 + 43.3989i 0.410597 + 1.79894i
\(583\) 20.8721 6.43818i 0.864432 0.266642i
\(584\) −3.48023 8.86747i −0.144013 0.366939i
\(585\) 8.28821 + 7.69034i 0.342675 + 0.317956i
\(586\) −9.30913 6.34686i −0.384557 0.262186i
\(587\) −16.3460 −0.674673 −0.337337 0.941384i \(-0.609526\pi\)
−0.337337 + 0.941384i \(0.609526\pi\)
\(588\) −77.4186 + 96.6496i −3.19269 + 3.98576i
\(589\) −5.13199 −0.211460
\(590\) 30.8907 + 21.0609i 1.27175 + 0.867065i
\(591\) 4.43520 + 4.11526i 0.182440 + 0.169279i
\(592\) −9.08982 23.1605i −0.373589 0.951890i
\(593\) −17.0994 + 5.27447i −0.702189 + 0.216597i −0.625233 0.780438i \(-0.714996\pi\)
−0.0769555 + 0.997035i \(0.524520\pi\)
\(594\) 39.2636 + 172.025i 1.61100 + 7.05827i
\(595\) −0.708811 + 0.217799i −0.0290584 + 0.00892887i
\(596\) −27.7498 + 121.580i −1.13668 + 4.98011i
\(597\) 2.90511 + 38.7659i 0.118898 + 1.58658i
\(598\) −8.05708 2.48528i −0.329478 0.101631i
\(599\) 1.81497 24.2190i 0.0741575 0.989563i −0.828719 0.559664i \(-0.810930\pi\)
0.902877 0.429899i \(-0.141451\pi\)
\(600\) −28.0091 + 71.3661i −1.14347 + 2.91351i
\(601\) −17.9537 + 8.64604i −0.732346 + 0.352679i −0.762606 0.646863i \(-0.776081\pi\)
0.0302603 + 0.999542i \(0.490366\pi\)
\(602\) 33.9524 58.6605i 1.38380 2.39082i
\(603\) −24.2415 11.6741i −0.987189 0.475405i
\(604\) 35.8099 33.2268i 1.45709 1.35198i
\(605\) −21.0453 + 3.17208i −0.855615 + 0.128963i
\(606\) 10.2392 17.7349i 0.415941 0.720430i
\(607\) −7.16262 12.4060i −0.290722 0.503545i 0.683259 0.730176i \(-0.260562\pi\)
−0.973981 + 0.226631i \(0.927229\pi\)
\(608\) −27.1857 34.0898i −1.10253 1.38252i
\(609\) 8.86320 38.6393i 0.359155 1.56574i
\(610\) 0.423228 0.530711i 0.0171360 0.0214878i
\(611\) 1.89944 + 0.286295i 0.0768431 + 0.0115822i
\(612\) −5.73581 + 3.91061i −0.231856 + 0.158077i
\(613\) −22.2495 + 15.1694i −0.898649 + 0.612688i −0.922064 0.387038i \(-0.873498\pi\)
0.0234153 + 0.999726i \(0.492546\pi\)
\(614\) 2.41079 + 0.363368i 0.0972914 + 0.0146643i
\(615\) −38.0586 + 47.7240i −1.53467 + 1.92442i
\(616\) −115.428 55.7411i −4.65071 2.24587i
\(617\) 13.0182 + 16.3243i 0.524093 + 0.657192i 0.971472 0.237152i \(-0.0762141\pi\)
−0.447379 + 0.894344i \(0.647643\pi\)
\(618\) −13.5806 23.5222i −0.546291 0.946203i
\(619\) −15.6087 + 27.0350i −0.627365 + 1.08663i 0.360714 + 0.932677i \(0.382533\pi\)
−0.988078 + 0.153951i \(0.950800\pi\)
\(620\) 24.8365 3.74350i 0.997457 0.150342i
\(621\) −29.2011 + 27.0947i −1.17180 + 1.08727i
\(622\) 67.6787 + 32.5924i 2.71367 + 1.30683i
\(623\) 1.03606 13.6272i 0.0415089 0.545962i
\(624\) −45.4334 + 21.8796i −1.81879 + 0.875883i
\(625\) −2.43610 + 6.20708i −0.0974440 + 0.248283i
\(626\) −3.37266 + 45.0051i −0.134799 + 1.79876i
\(627\) 27.1737 + 8.38197i 1.08521 + 0.334744i
\(628\) 1.94968 + 26.0167i 0.0778007 + 1.03818i
\(629\) −0.0613095 + 0.268615i −0.00244457 + 0.0107104i
\(630\) −30.1498 + 76.5764i −1.20120 + 3.05088i
\(631\) 6.00948 + 26.3292i 0.239234 + 1.04815i 0.941705 + 0.336439i \(0.109223\pi\)
−0.702472 + 0.711712i \(0.747920\pi\)
\(632\) 25.0053 7.71310i 0.994656 0.306811i
\(633\) −8.65038 22.0408i −0.343822 0.876043i
\(634\) 40.0517 + 37.1625i 1.59065 + 1.47591i
\(635\) 17.1532 + 11.6949i 0.680705 + 0.464097i
\(636\) 78.3072 3.10508
\(637\) 6.92406 1.02830i 0.274341 0.0407427i
\(638\) 64.0310 2.53501
\(639\) 54.7885 + 37.3542i 2.16740 + 1.47771i
\(640\) 54.3507 + 50.4301i 2.14840 + 1.99342i
\(641\) 17.9670 + 45.7792i 0.709655 + 1.80817i 0.576538 + 0.817070i \(0.304403\pi\)
0.133117 + 0.991100i \(0.457502\pi\)
\(642\) −110.259 + 34.0103i −4.35156 + 1.34228i
\(643\) 5.96194 + 26.1210i 0.235116 + 1.03011i 0.945328 + 0.326122i \(0.105742\pi\)
−0.710212 + 0.703988i \(0.751401\pi\)
\(644\) −3.32571 45.0329i −0.131051 1.77455i
\(645\) 10.4945 45.9792i 0.413219 1.81043i
\(646\) 0.0655634 + 0.874883i 0.00257956 + 0.0344218i
\(647\) −29.5428 9.11276i −1.16145 0.358260i −0.346645 0.937996i \(-0.612679\pi\)
−0.814804 + 0.579737i \(0.803155\pi\)
\(648\) −14.6857 + 195.967i −0.576908 + 7.69830i
\(649\) 15.3660 39.1520i 0.603169 1.53685i
\(650\) 6.09269 2.93409i 0.238975 0.115084i
\(651\) −23.5147 + 3.51823i −0.921615 + 0.137890i
\(652\) 61.9483 + 29.8327i 2.42608 + 1.16834i
\(653\) 5.36673 4.97959i 0.210016 0.194867i −0.568150 0.822925i \(-0.692341\pi\)
0.778166 + 0.628059i \(0.216150\pi\)
\(654\) −52.4807 + 7.91019i −2.05216 + 0.309313i
\(655\) 8.42962 14.6005i 0.329372 0.570490i
\(656\) −95.6568 165.682i −3.73477 6.46881i
\(657\) 4.28984 + 5.37930i 0.167363 + 0.209866i
\(658\) 3.09650 + 13.6347i 0.120714 + 0.531536i
\(659\) −27.4887 + 34.4697i −1.07081 + 1.34275i −0.134758 + 0.990879i \(0.543026\pi\)
−0.936049 + 0.351871i \(0.885546\pi\)
\(660\) −137.622 20.7432i −5.35695 0.807430i
\(661\) −12.2086 + 8.32371i −0.474861 + 0.323755i −0.776991 0.629512i \(-0.783255\pi\)
0.302130 + 0.953267i \(0.402302\pi\)
\(662\) −48.1055 + 32.7977i −1.86967 + 1.27472i
\(663\) 0.552189 + 0.0832290i 0.0214452 + 0.00323235i
\(664\) 75.3658 94.5058i 2.92476 3.66754i
\(665\) 4.76474 + 5.98809i 0.184769 + 0.232208i
\(666\) 19.0657 + 23.9077i 0.738783 + 0.926404i
\(667\) 7.22780 + 12.5189i 0.279862 + 0.484735i
\(668\) 27.8590 48.2532i 1.07790 1.86697i
\(669\) 69.5879 10.4887i 2.69042 0.405516i
\(670\) 12.1995 11.3195i 0.471309 0.437311i
\(671\) −0.688011 0.331329i −0.0265604 0.0127908i
\(672\) −147.935 137.562i −5.70672 5.30658i
\(673\) −0.820023 + 0.394902i −0.0316096 + 0.0152224i −0.449622 0.893219i \(-0.648441\pi\)
0.418012 + 0.908441i \(0.362727\pi\)
\(674\) −6.45843 + 16.4558i −0.248769 + 0.633854i
\(675\) 2.38752 31.8592i 0.0918955 1.22626i
\(676\) 5.32140 + 1.64144i 0.204669 + 0.0631321i
\(677\) −2.23806 29.8648i −0.0860154 1.14780i −0.858518 0.512784i \(-0.828614\pi\)
0.772502 0.635012i \(-0.219005\pi\)
\(678\) 37.7894 165.566i 1.45129 6.35853i
\(679\) 13.3234 + 2.02294i 0.511304 + 0.0776331i
\(680\) −0.612323 2.68276i −0.0234815 0.102879i
\(681\) 54.8980 16.9338i 2.10370 0.648905i
\(682\) −14.0305 35.7491i −0.537255 1.36890i
\(683\) −4.38330 4.06711i −0.167722 0.155624i 0.591846 0.806051i \(-0.298399\pi\)
−0.759568 + 0.650427i \(0.774590\pi\)
\(684\) 59.1934 + 40.3574i 2.26332 + 1.54310i
\(685\) 6.63746 0.253604
\(686\) 25.3325 + 44.2082i 0.967198 + 1.68788i
\(687\) −24.4161 −0.931533
\(688\) 122.128 + 83.2657i 4.65610 + 3.17448i
\(689\) −3.24486 3.01079i −0.123619 0.114702i
\(690\) −15.6019 39.7529i −0.593953 1.51337i
\(691\) 28.2027 8.69939i 1.07288 0.330940i 0.292514 0.956261i \(-0.405508\pi\)
0.780368 + 0.625321i \(0.215032\pi\)
\(692\) −26.6582 116.797i −1.01339 4.43996i
\(693\) 91.5336 + 13.8979i 3.47707 + 0.527937i
\(694\) 1.55580 6.81642i 0.0590575 0.258748i
\(695\) −2.14134 28.5743i −0.0812258 1.08388i
\(696\) 140.577 + 43.3624i 5.32857 + 1.64365i
\(697\) −0.158322 + 2.11266i −0.00599688 + 0.0800227i
\(698\) −4.81478 + 12.2679i −0.182242 + 0.464345i
\(699\) −68.1106 + 32.8003i −2.57618 + 1.24062i
\(700\) 26.5213 + 24.6617i 1.00241 + 0.932124i
\(701\) 6.36680 + 3.06609i 0.240471 + 0.115805i 0.550238 0.835008i \(-0.314537\pi\)
−0.309767 + 0.950812i \(0.600251\pi\)
\(702\) 26.2128 24.3219i 0.989338 0.917972i
\(703\) 2.81163 0.423785i 0.106043 0.0159833i
\(704\) 84.8138 146.902i 3.19654 5.53657i
\(705\) 4.86450 + 8.42556i 0.183208 + 0.317325i
\(706\) −26.6396 33.4050i −1.00260 1.25721i
\(707\) −3.86005 4.85112i −0.145172 0.182445i
\(708\) 94.0141 117.890i 3.53327 4.43057i
\(709\) 47.8927 + 7.21867i 1.79865 + 0.271103i 0.961288 0.275546i \(-0.0888587\pi\)
0.837362 + 0.546649i \(0.184097\pi\)
\(710\) −33.8882 + 23.1046i −1.27180 + 0.867101i
\(711\) −15.6162 + 10.6470i −0.585655 + 0.399293i
\(712\) 50.1497 + 7.55885i 1.87944 + 0.283280i
\(713\) 5.40567 6.77849i 0.202444 0.253857i
\(714\) 0.900187 + 3.96376i 0.0336887 + 0.148340i
\(715\) 4.90519 + 6.15091i 0.183444 + 0.230031i
\(716\) 16.2599 + 28.1630i 0.607661 + 1.05250i
\(717\) −3.33331 + 5.77346i −0.124485 + 0.215614i
\(718\) −68.9508 + 10.3927i −2.57322 + 0.387851i
\(719\) −12.1896 + 11.3103i −0.454596 + 0.421803i −0.873947 0.486021i \(-0.838448\pi\)
0.419352 + 0.907824i \(0.362257\pi\)
\(720\) −161.705 77.8729i −6.02638 2.90215i
\(721\) −8.13200 + 1.21669i −0.302851 + 0.0453121i
\(722\) −38.9378 + 18.7515i −1.44911 + 0.697857i
\(723\) 3.94725 10.0574i 0.146800 0.374040i
\(724\) 6.26132 83.5515i 0.232700 3.10517i
\(725\) −11.0786 3.41730i −0.411450 0.126915i
\(726\) 8.71839 + 116.339i 0.323570 + 4.31774i
\(727\) −2.33566 + 10.2332i −0.0866249 + 0.379529i −0.999594 0.0285007i \(-0.990927\pi\)
0.912969 + 0.408029i \(0.133784\pi\)
\(728\) 1.91319 + 25.9063i 0.0709076 + 0.960150i
\(729\) −4.02080 17.6163i −0.148919 0.652455i
\(730\) −4.06664 + 1.25439i −0.150513 + 0.0464271i
\(731\) −0.598012 1.52371i −0.0221183 0.0563564i
\(732\) −2.00688 1.86211i −0.0741763 0.0688255i
\(733\) 8.19451 + 5.58692i 0.302671 + 0.206358i 0.705126 0.709082i \(-0.250891\pi\)
−0.402455 + 0.915440i \(0.631843\pi\)
\(734\) −68.9246 −2.54405
\(735\) 25.9372 + 24.1709i 0.956706 + 0.891558i
\(736\) 73.6624 2.71523
\(737\) −15.4687 10.5464i −0.569798 0.388482i
\(738\) 172.365 + 159.931i 6.34483 + 5.88714i
\(739\) 14.8358 + 37.8010i 0.545744 + 1.39053i 0.891847 + 0.452337i \(0.149409\pi\)
−0.346103 + 0.938196i \(0.612495\pi\)
\(740\) −13.2979 + 4.10185i −0.488840 + 0.150787i
\(741\) −1.28237 5.61845i −0.0471092 0.206399i
\(742\) 11.8037 29.9799i 0.433328 1.10060i
\(743\) −0.282613 + 1.23821i −0.0103681 + 0.0454255i −0.979847 0.199748i \(-0.935988\pi\)
0.969479 + 0.245173i \(0.0788449\pi\)
\(744\) −6.59373 87.9872i −0.241738 3.22577i
\(745\) 34.1175 + 10.5238i 1.24997 + 0.385564i
\(746\) 4.18084 55.7894i 0.153071 2.04260i
\(747\) −31.8968 + 81.2717i −1.16704 + 2.97358i
\(748\) −4.35210 + 2.09586i −0.159129 + 0.0766323i
\(749\) −2.64809 + 34.8300i −0.0967591 + 1.27266i
\(750\) 93.6293 + 45.0895i 3.41886 + 1.64644i
\(751\) −39.6440 + 36.7843i −1.44663 + 1.34228i −0.612824 + 0.790219i \(0.709967\pi\)
−0.833806 + 0.552057i \(0.813843\pi\)
\(752\) −30.1517 + 4.54464i −1.09952 + 0.165726i
\(753\) 10.7916 18.6915i 0.393266 0.681157i
\(754\) −6.48814 11.2378i −0.236284 0.409256i
\(755\) −8.72011 10.9347i −0.317357 0.397953i
\(756\) 172.448 + 83.2770i 6.27189 + 3.02875i
\(757\) −8.75573 + 10.9793i −0.318232 + 0.399051i −0.915059 0.403319i \(-0.867856\pi\)
0.596827 + 0.802370i \(0.296428\pi\)
\(758\) 28.0595 + 4.22928i 1.01917 + 0.153615i
\(759\) −39.6940 + 27.0629i −1.44080 + 0.982321i
\(760\) −23.4636 + 15.9972i −0.851113 + 0.580279i
\(761\) −22.4238 3.37984i −0.812861 0.122519i −0.270560 0.962703i \(-0.587209\pi\)
−0.542301 + 0.840184i \(0.682447\pi\)
\(762\) 70.9539 88.9734i 2.57039 3.22316i
\(763\) −3.59220 + 15.6603i −0.130047 + 0.566940i
\(764\) 51.0450 + 64.0084i 1.84674 + 2.31574i
\(765\) 0.993763 + 1.72125i 0.0359296 + 0.0622319i
\(766\) 49.8329 86.3131i 1.80053 3.11862i
\(767\) −8.42839 + 1.27038i −0.304332 + 0.0458706i
\(768\) 137.825 127.883i 4.97334 4.61459i
\(769\) −41.0103 19.7495i −1.47887 0.712186i −0.491539 0.870856i \(-0.663565\pi\)
−0.987332 + 0.158669i \(0.949280\pi\)
\(770\) −28.6862 + 49.5619i −1.03378 + 1.78609i
\(771\) 18.6731 8.99251i 0.672497 0.323857i
\(772\) 6.95445 17.7196i 0.250296 0.637744i
\(773\) 2.85653 38.1177i 0.102742 1.37100i −0.672857 0.739773i \(-0.734933\pi\)
0.775599 0.631226i \(-0.217448\pi\)