Properties

Label 507.2.t.b.127.15
Level $507$
Weight $2$
Character 507.127
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 127.15
Character \(\chi\) \(=\) 507.127
Dual form 507.2.t.b.4.15

$q$-expansion

\(f(q)\) \(=\) \(q+(2.56929 - 0.103539i) q^{2} +(-0.278217 - 0.960518i) q^{3} +(4.59701 - 0.371109i) q^{4} +(1.84810 - 0.700893i) q^{5} +(-0.814272 - 2.43904i) q^{6} +(-1.21279 + 2.84653i) q^{7} +(6.66737 - 0.809566i) q^{8} +(-0.845190 + 0.534466i) q^{9} +O(q^{10})\) \(q+(2.56929 - 0.103539i) q^{2} +(-0.278217 - 0.960518i) q^{3} +(4.59701 - 0.371109i) q^{4} +(1.84810 - 0.700893i) q^{5} +(-0.814272 - 2.43904i) q^{6} +(-1.21279 + 2.84653i) q^{7} +(6.66737 - 0.809566i) q^{8} +(-0.845190 + 0.534466i) q^{9} +(4.67574 - 1.99215i) q^{10} +(-2.30769 + 3.64932i) q^{11} +(-1.63543 - 4.31226i) q^{12} +(1.98415 - 3.01051i) q^{13} +(-2.82129 + 7.43912i) q^{14} +(-1.18739 - 1.58013i) q^{15} +(7.94210 - 1.29072i) q^{16} +(-0.883687 - 0.376504i) q^{17} +(-2.11620 + 1.46071i) q^{18} +(-5.15303 - 2.97510i) q^{19} +(8.23564 - 3.90786i) q^{20} +(3.07156 + 0.372955i) q^{21} +(-5.55127 + 9.61508i) q^{22} +(-3.68294 - 6.37904i) q^{23} +(-2.63258 - 6.17890i) q^{24} +(-0.818324 + 0.724971i) q^{25} +(4.78614 - 7.94030i) q^{26} +(0.748511 + 0.663123i) q^{27} +(-4.51884 + 13.5356i) q^{28} +(-0.109222 - 2.71032i) q^{29} +(-3.21436 - 3.93688i) q^{30} +(-1.82438 + 2.05929i) q^{31} +(7.11070 - 1.45166i) q^{32} +(4.14727 + 1.20127i) q^{33} +(-2.30943 - 0.875851i) q^{34} +(-0.246253 + 6.11071i) q^{35} +(-3.68700 + 2.77060i) q^{36} +(0.170182 + 0.0347430i) q^{37} +(-13.5477 - 7.11036i) q^{38} +(-3.44367 - 1.06823i) q^{39} +(11.7546 - 6.16927i) q^{40} +(8.35089 - 2.41886i) q^{41} +(7.93034 + 0.640203i) q^{42} +(1.09751 + 5.37597i) q^{43} +(-9.25417 + 17.6324i) q^{44} +(-1.18739 + 1.58013i) q^{45} +(-10.1230 - 16.0083i) q^{46} +(0.0305345 + 0.0210764i) q^{47} +(-3.44939 - 7.26944i) q^{48} +(-1.78278 - 1.85607i) q^{49} +(-2.02745 + 1.94739i) q^{50} +(-0.115782 + 0.953547i) q^{51} +(8.00392 - 14.5757i) q^{52} +(1.35362 + 11.1481i) q^{53} +(1.99180 + 1.62625i) q^{54} +(-1.70706 + 8.36175i) q^{55} +(-5.78168 + 19.9607i) q^{56} +(-1.42398 + 5.77731i) q^{57} +(-0.561247 - 6.95229i) q^{58} +(0.0265754 - 0.163525i) q^{59} +(-6.04487 - 6.82324i) q^{60} +(-0.00409345 - 0.00307603i) q^{61} +(-4.47413 + 5.47982i) q^{62} +(-0.496332 - 3.05405i) q^{63} +(2.49416 - 0.614756i) q^{64} +(1.55686 - 6.95440i) q^{65} +(10.7799 + 2.65701i) q^{66} +(0.885913 - 10.9740i) q^{67} +(-4.20204 - 1.40285i) q^{68} +(-5.10253 + 5.31229i) q^{69} +15.7257i q^{70} +(9.67205 + 9.29013i) q^{71} +(-5.20251 + 4.24772i) q^{72} +(7.47313 + 14.2389i) q^{73} +(0.440845 + 0.0716443i) q^{74} +(0.924020 + 0.584315i) q^{75} +(-24.7926 - 11.7643i) q^{76} +(-7.58913 - 10.9948i) q^{77} +(-8.95839 - 2.38804i) q^{78} +(5.90211 - 8.55068i) q^{79} +(13.7732 - 7.95194i) q^{80} +(0.428693 - 0.903450i) q^{81} +(21.2054 - 7.07940i) q^{82} +(-1.04882 - 4.25521i) q^{83} +(14.2584 + 0.574594i) q^{84} +(-1.89703 - 0.0764478i) q^{85} +(3.37645 + 13.6988i) q^{86} +(-2.57292 + 0.858968i) q^{87} +(-12.4319 + 26.1996i) q^{88} +(11.1145 - 6.41695i) q^{89} +(-2.88715 + 4.18276i) q^{90} +(6.16313 + 9.29904i) q^{91} +(-19.2979 - 27.9578i) q^{92} +(2.48556 + 1.17941i) q^{93} +(0.0806342 + 0.0509900i) q^{94} +(-11.6086 - 1.88657i) q^{95} +(-3.37267 - 6.42608i) q^{96} +(3.66773 - 2.99461i) q^{97} +(-4.77264 - 4.58418i) q^{98} -4.31775i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{77}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.56929 0.103539i 1.81676 0.0732130i 0.891609 0.452807i \(-0.149577\pi\)
0.925153 + 0.379594i \(0.123936\pi\)
\(3\) −0.278217 0.960518i −0.160629 0.554555i
\(4\) 4.59701 0.371109i 2.29851 0.185555i
\(5\) 1.84810 0.700893i 0.826496 0.313449i 0.0951568 0.995462i \(-0.469665\pi\)
0.731339 + 0.682014i \(0.238896\pi\)
\(6\) −0.814272 2.43904i −0.332425 0.995735i
\(7\) −1.21279 + 2.84653i −0.458392 + 1.07589i 0.517115 + 0.855916i \(0.327006\pi\)
−0.975507 + 0.219970i \(0.929404\pi\)
\(8\) 6.66737 0.809566i 2.35727 0.286225i
\(9\) −0.845190 + 0.534466i −0.281730 + 0.178155i
\(10\) 4.67574 1.99215i 1.47860 0.629972i
\(11\) −2.30769 + 3.64932i −0.695794 + 1.10031i 0.293722 + 0.955891i \(0.405106\pi\)
−0.989517 + 0.144420i \(0.953868\pi\)
\(12\) −1.63543 4.31226i −0.472107 1.24484i
\(13\) 1.98415 3.01051i 0.550303 0.834965i
\(14\) −2.82129 + 7.43912i −0.754020 + 1.98819i
\(15\) −1.18739 1.58013i −0.306584 0.407989i
\(16\) 7.94210 1.29072i 1.98553 0.322679i
\(17\) −0.883687 0.376504i −0.214326 0.0913156i 0.282136 0.959375i \(-0.408957\pi\)
−0.496461 + 0.868059i \(0.665367\pi\)
\(18\) −2.11620 + 1.46071i −0.498793 + 0.344292i
\(19\) −5.15303 2.97510i −1.18219 0.682536i −0.225667 0.974204i \(-0.572456\pi\)
−0.956519 + 0.291669i \(0.905790\pi\)
\(20\) 8.23564 3.90786i 1.84154 0.873824i
\(21\) 3.07156 + 0.372955i 0.670269 + 0.0813854i
\(22\) −5.55127 + 9.61508i −1.18354 + 2.04994i
\(23\) −3.68294 6.37904i −0.767947 1.33012i −0.938675 0.344804i \(-0.887945\pi\)
0.170728 0.985318i \(-0.445388\pi\)
\(24\) −2.63258 6.17890i −0.537374 1.26126i
\(25\) −0.818324 + 0.724971i −0.163665 + 0.144994i
\(26\) 4.78614 7.94030i 0.938640 1.55722i
\(27\) 0.748511 + 0.663123i 0.144051 + 0.127618i
\(28\) −4.51884 + 13.5356i −0.853981 + 2.55799i
\(29\) −0.109222 2.71032i −0.0202820 0.503294i −0.977122 0.212679i \(-0.931781\pi\)
0.956840 0.290615i \(-0.0938598\pi\)
\(30\) −3.21436 3.93688i −0.586860 0.718773i
\(31\) −1.82438 + 2.05929i −0.327667 + 0.369860i −0.889140 0.457635i \(-0.848697\pi\)
0.561473 + 0.827495i \(0.310235\pi\)
\(32\) 7.11070 1.45166i 1.25701 0.256620i
\(33\) 4.14727 + 1.20127i 0.721948 + 0.209115i
\(34\) −2.30943 0.875851i −0.396064 0.150207i
\(35\) −0.246253 + 6.11071i −0.0416244 + 1.03290i
\(36\) −3.68700 + 2.77060i −0.614501 + 0.461767i
\(37\) 0.170182 + 0.0347430i 0.0279778 + 0.00571171i 0.213994 0.976835i \(-0.431353\pi\)
−0.186016 + 0.982547i \(0.559558\pi\)
\(38\) −13.5477 7.11036i −2.19772 1.15345i
\(39\) −3.44367 1.06823i −0.551429 0.171054i
\(40\) 11.7546 6.16927i 1.85856 0.975448i
\(41\) 8.35089 2.41886i 1.30419 0.377763i 0.447818 0.894125i \(-0.352201\pi\)
0.856371 + 0.516362i \(0.172714\pi\)
\(42\) 7.93034 + 0.640203i 1.22368 + 0.0987855i
\(43\) 1.09751 + 5.37597i 0.167369 + 0.819828i 0.973606 + 0.228235i \(0.0732956\pi\)
−0.806237 + 0.591593i \(0.798499\pi\)
\(44\) −9.25417 + 17.6324i −1.39512 + 2.65818i
\(45\) −1.18739 + 1.58013i −0.177006 + 0.235553i
\(46\) −10.1230 16.0083i −1.49256 2.36029i
\(47\) 0.0305345 + 0.0210764i 0.00445391 + 0.00307431i 0.570290 0.821444i \(-0.306831\pi\)
−0.565836 + 0.824518i \(0.691446\pi\)
\(48\) −3.44939 7.26944i −0.497877 1.04925i
\(49\) −1.78278 1.85607i −0.254682 0.265152i
\(50\) −2.02745 + 1.94739i −0.286724 + 0.275402i
\(51\) −0.115782 + 0.953547i −0.0162127 + 0.133523i
\(52\) 8.00392 14.5757i 1.10994 2.02128i
\(53\) 1.35362 + 11.1481i 0.185934 + 1.53130i 0.724828 + 0.688930i \(0.241919\pi\)
−0.538895 + 0.842373i \(0.681158\pi\)
\(54\) 1.99180 + 1.62625i 0.271050 + 0.221305i
\(55\) −1.70706 + 8.36175i −0.230180 + 1.12750i
\(56\) −5.78168 + 19.9607i −0.772610 + 2.66736i
\(57\) −1.42398 + 5.77731i −0.188610 + 0.765223i
\(58\) −0.561247 6.95229i −0.0736953 0.912880i
\(59\) 0.0265754 0.163525i 0.00345982 0.0212891i −0.985263 0.171047i \(-0.945285\pi\)
0.988723 + 0.149757i \(0.0478493\pi\)
\(60\) −6.04487 6.82324i −0.780389 0.880877i
\(61\) −0.00409345 0.00307603i −0.000524113 0.000393845i 0.600480 0.799640i \(-0.294976\pi\)
−0.601004 + 0.799246i \(0.705233\pi\)
\(62\) −4.47413 + 5.47982i −0.568215 + 0.695937i
\(63\) −0.496332 3.05405i −0.0625319 0.384774i
\(64\) 2.49416 0.614756i 0.311770 0.0768444i
\(65\) 1.55686 6.95440i 0.193105 0.862587i
\(66\) 10.7799 + 2.65701i 1.32692 + 0.327056i
\(67\) 0.885913 10.9740i 0.108231 1.34069i −0.683559 0.729895i \(-0.739569\pi\)
0.791791 0.610792i \(-0.209149\pi\)
\(68\) −4.20204 1.40285i −0.509573 0.170120i
\(69\) −5.10253 + 5.31229i −0.614272 + 0.639525i
\(70\) 15.7257i 1.87958i
\(71\) 9.67205 + 9.29013i 1.14786 + 1.10254i 0.993419 + 0.114534i \(0.0365376\pi\)
0.154442 + 0.988002i \(0.450642\pi\)
\(72\) −5.20251 + 4.24772i −0.613122 + 0.500599i
\(73\) 7.47313 + 14.2389i 0.874663 + 1.66653i 0.736832 + 0.676076i \(0.236321\pi\)
0.137831 + 0.990456i \(0.455987\pi\)
\(74\) 0.440845 + 0.0716443i 0.0512472 + 0.00832848i
\(75\) 0.924020 + 0.584315i 0.106697 + 0.0674709i
\(76\) −24.7926 11.7643i −2.84391 1.34945i
\(77\) −7.58913 10.9948i −0.864862 1.25297i
\(78\) −8.95839 2.38804i −1.01434 0.270393i
\(79\) 5.90211 8.55068i 0.664039 0.962027i −0.335759 0.941948i \(-0.608993\pi\)
0.999798 0.0200788i \(-0.00639172\pi\)
\(80\) 13.7732 7.95194i 1.53989 0.889054i
\(81\) 0.428693 0.903450i 0.0476325 0.100383i
\(82\) 21.2054 7.07940i 2.34174 0.781789i
\(83\) −1.04882 4.25521i −0.115122 0.467070i −0.999999 0.00124493i \(-0.999604\pi\)
0.884877 0.465825i \(-0.154242\pi\)
\(84\) 14.2584 + 0.574594i 1.55572 + 0.0626933i
\(85\) −1.89703 0.0764478i −0.205762 0.00829193i
\(86\) 3.37645 + 13.6988i 0.364092 + 1.47718i
\(87\) −2.57292 + 0.858968i −0.275846 + 0.0920911i
\(88\) −12.4319 + 26.1996i −1.32524 + 2.79289i
\(89\) 11.1145 6.41695i 1.17813 0.680195i 0.222551 0.974921i \(-0.428562\pi\)
0.955582 + 0.294726i \(0.0952284\pi\)
\(90\) −2.88715 + 4.18276i −0.304333 + 0.440902i
\(91\) 6.16313 + 9.29904i 0.646072 + 0.974805i
\(92\) −19.2979 27.9578i −2.01194 2.91480i
\(93\) 2.48556 + 1.17941i 0.257741 + 0.122300i
\(94\) 0.0806342 + 0.0509900i 0.00831678 + 0.00525921i
\(95\) −11.6086 1.88657i −1.19101 0.193558i
\(96\) −3.37267 6.42608i −0.344221 0.655859i
\(97\) 3.66773 2.99461i 0.372401 0.304056i −0.427701 0.903921i \(-0.640676\pi\)
0.800102 + 0.599864i \(0.204779\pi\)
\(98\) −4.77264 4.58418i −0.482110 0.463072i
\(99\) 4.31775i 0.433950i
\(100\) −3.49280 + 3.63639i −0.349280 + 0.363639i
\(101\) 3.31496 + 1.10670i 0.329851 + 0.110120i 0.476770 0.879028i \(-0.341807\pi\)
−0.146919 + 0.989149i \(0.546936\pi\)
\(102\) −0.198747 + 2.46193i −0.0196789 + 0.243767i
\(103\) −14.9692 3.68957i −1.47496 0.363544i −0.581816 0.813320i \(-0.697658\pi\)
−0.893141 + 0.449776i \(0.851504\pi\)
\(104\) 10.7918 21.6785i 1.05823 2.12575i
\(105\) 5.93796 1.46357i 0.579485 0.142830i
\(106\) 4.63209 + 28.5024i 0.449909 + 2.76840i
\(107\) −6.53415 + 8.00288i −0.631680 + 0.773668i −0.986938 0.161101i \(-0.948496\pi\)
0.355258 + 0.934768i \(0.384393\pi\)
\(108\) 3.68700 + 2.77060i 0.354782 + 0.266601i
\(109\) −10.5073 11.8602i −1.00641 1.13600i −0.990691 0.136128i \(-0.956534\pi\)
−0.0157213 0.999876i \(-0.505004\pi\)
\(110\) −3.52017 + 21.6605i −0.335635 + 2.06525i
\(111\) −0.0139764 0.173129i −0.00132659 0.0164327i
\(112\) −5.95805 + 24.1728i −0.562983 + 2.28411i
\(113\) 0.0535349 0.184824i 0.00503614 0.0173868i −0.957961 0.286899i \(-0.907375\pi\)
0.962997 + 0.269513i \(0.0868626\pi\)
\(114\) −3.06044 + 14.9910i −0.286636 + 1.40404i
\(115\) −11.2775 9.20778i −1.05163 0.858630i
\(116\) −1.50792 12.4188i −0.140007 1.15306i
\(117\) −0.0679670 + 3.60491i −0.00628355 + 0.333274i
\(118\) 0.0513486 0.422894i 0.00472702 0.0389305i
\(119\) 2.14346 2.05882i 0.196490 0.188731i
\(120\) −9.19602 9.57408i −0.839478 0.873990i
\(121\) −3.27647 6.90501i −0.297861 0.627729i
\(122\) −0.0108358 0.00747938i −0.000981023 0.000677151i
\(123\) −4.64672 7.34821i −0.418981 0.662565i
\(124\) −7.62245 + 10.1436i −0.684516 + 0.910926i
\(125\) −5.59695 + 10.6641i −0.500606 + 0.953826i
\(126\) −1.59143 7.79535i −0.141776 0.694465i
\(127\) −15.5006 1.25134i −1.37546 0.111038i −0.629484 0.777013i \(-0.716734\pi\)
−0.745974 + 0.665975i \(0.768016\pi\)
\(128\) −7.59710 + 2.20053i −0.671495 + 0.194501i
\(129\) 4.85837 2.54987i 0.427756 0.224504i
\(130\) 3.27998 18.0291i 0.287673 1.58125i
\(131\) 10.9112 + 5.72664i 0.953315 + 0.500339i 0.868299 0.496041i \(-0.165213\pi\)
0.0850163 + 0.996380i \(0.472906\pi\)
\(132\) 19.5109 + 3.98317i 1.69820 + 0.346691i
\(133\) 14.7183 11.0601i 1.27624 0.959029i
\(134\) 1.13993 28.2871i 0.0984751 2.44363i
\(135\) 1.84810 + 0.700893i 0.159059 + 0.0603232i
\(136\) −6.19668 1.79489i −0.531361 0.153910i
\(137\) −3.65278 + 0.745721i −0.312078 + 0.0637112i −0.353512 0.935430i \(-0.615013\pi\)
0.0414337 + 0.999141i \(0.486807\pi\)
\(138\) −12.5598 + 14.1771i −1.06916 + 1.20684i
\(139\) 7.77296 + 9.52014i 0.659294 + 0.807488i 0.990709 0.135997i \(-0.0434237\pi\)
−0.331416 + 0.943485i \(0.607526\pi\)
\(140\) 1.13571 + 28.1824i 0.0959851 + 2.38185i
\(141\) 0.0117491 0.0351928i 0.000989450 0.00296377i
\(142\) 25.8122 + 22.8676i 2.16611 + 1.91901i
\(143\) 6.40751 + 14.1881i 0.535823 + 1.18647i
\(144\) −6.02274 + 5.33569i −0.501895 + 0.444640i
\(145\) −2.10150 4.93239i −0.174520 0.409613i
\(146\) 20.6749 + 35.8100i 1.71107 + 2.96365i
\(147\) −1.28679 + 2.22878i −0.106132 + 0.183827i
\(148\) 0.795224 + 0.0965576i 0.0653670 + 0.00793699i
\(149\) −8.44286 + 4.00619i −0.691666 + 0.328200i −0.741874 0.670539i \(-0.766063\pi\)
0.0502081 + 0.998739i \(0.484012\pi\)
\(150\) 2.43457 + 1.40560i 0.198782 + 0.114767i
\(151\) 8.73967 6.03256i 0.711224 0.490923i −0.156683 0.987649i \(-0.550080\pi\)
0.867907 + 0.496726i \(0.165465\pi\)
\(152\) −36.7657 15.6644i −2.98209 1.27055i
\(153\) 0.948112 0.154083i 0.0766503 0.0124569i
\(154\) −20.6371 27.4629i −1.66298 2.21303i
\(155\) −1.92829 + 5.08448i −0.154884 + 0.408395i
\(156\) −16.2270 3.63270i −1.29920 0.290849i
\(157\) −8.34993 22.0170i −0.666397 1.75715i −0.653145 0.757233i \(-0.726551\pi\)
−0.0132526 0.999912i \(-0.504219\pi\)
\(158\) 14.2789 22.5803i 1.13597 1.79639i
\(159\) 10.3313 4.40176i 0.819326 0.349082i
\(160\) 12.1238 7.66665i 0.958474 0.606102i
\(161\) 22.6248 2.74714i 1.78308 0.216505i
\(162\) 1.00789 2.36561i 0.0791875 0.185860i
\(163\) −3.05574 9.15305i −0.239344 0.716922i −0.997867 0.0652763i \(-0.979207\pi\)
0.758523 0.651646i \(-0.225921\pi\)
\(164\) 37.4915 14.2186i 2.92759 1.11029i
\(165\) 8.50655 0.686720i 0.662234 0.0534610i
\(166\) −3.13529 10.8243i −0.243346 0.840127i
\(167\) 23.6670 0.953748i 1.83141 0.0738032i 0.899591 0.436732i \(-0.143864\pi\)
0.931817 + 0.362929i \(0.118223\pi\)
\(168\) 20.7812 1.60330
\(169\) −5.12633 11.9466i −0.394333 0.918968i
\(170\) −4.88194 −0.374428
\(171\) 5.94538 0.239591i 0.454655 0.0183220i
\(172\) 7.04035 + 24.3061i 0.536822 + 1.85332i
\(173\) −0.377935 + 0.0305101i −0.0287339 + 0.00231964i −0.0948251 0.995494i \(-0.530229\pi\)
0.0660913 + 0.997814i \(0.478947\pi\)
\(174\) −6.52165 + 2.47333i −0.494405 + 0.187503i
\(175\) −1.07119 3.20862i −0.0809747 0.242549i
\(176\) −13.6177 + 31.9618i −1.02647 + 2.40921i
\(177\) −0.164462 + 0.0199693i −0.0123617 + 0.00150099i
\(178\) 27.8919 17.6378i 2.09059 1.32201i
\(179\) 17.6924 7.53804i 1.32239 0.563419i 0.388658 0.921382i \(-0.372939\pi\)
0.933736 + 0.357963i \(0.116528\pi\)
\(180\) −4.87206 + 7.70455i −0.363142 + 0.574263i
\(181\) −3.47727 9.16882i −0.258464 0.681513i −0.999944 0.0105387i \(-0.996645\pi\)
0.741481 0.670974i \(-0.234124\pi\)
\(182\) 16.7977 + 23.2538i 1.24513 + 1.72369i
\(183\) −0.00181571 + 0.00478764i −0.000134221 + 0.000353913i
\(184\) −29.7198 39.5499i −2.19097 2.91566i
\(185\) 0.338865 0.0550710i 0.0249139 0.00404890i
\(186\) 6.50824 + 2.77290i 0.477208 + 0.203319i
\(187\) 3.41326 2.35600i 0.249602 0.172288i
\(188\) 0.148189 + 0.0855570i 0.0108078 + 0.00623989i
\(189\) −2.79538 + 1.32643i −0.203334 + 0.0964833i
\(190\) −30.0211 3.64522i −2.17796 0.264452i
\(191\) −9.32535 + 16.1520i −0.674759 + 1.16872i 0.301781 + 0.953377i \(0.402419\pi\)
−0.976539 + 0.215339i \(0.930914\pi\)
\(192\) −1.28440 2.22465i −0.0926938 0.160550i
\(193\) −0.341854 0.802360i −0.0246072 0.0577552i 0.907223 0.420651i \(-0.138198\pi\)
−0.931830 + 0.362896i \(0.881788\pi\)
\(194\) 9.11339 8.07376i 0.654303 0.579662i
\(195\) −7.11297 + 0.439442i −0.509371 + 0.0314691i
\(196\) −8.88424 7.87075i −0.634589 0.562197i
\(197\) 2.79892 8.38380i 0.199415 0.597321i −0.800583 0.599222i \(-0.795477\pi\)
0.999998 + 0.00190082i \(0.000605051\pi\)
\(198\) −0.447054 11.0935i −0.0317708 0.788384i
\(199\) 9.94296 + 12.1779i 0.704838 + 0.863269i 0.995617 0.0935207i \(-0.0298121\pi\)
−0.290780 + 0.956790i \(0.593915\pi\)
\(200\) −4.86916 + 5.49614i −0.344301 + 0.388636i
\(201\) −10.7872 + 2.20222i −0.760870 + 0.155333i
\(202\) 8.63168 + 2.50020i 0.607323 + 0.175913i
\(203\) 7.84746 + 2.97615i 0.550784 + 0.208885i
\(204\) −0.178379 + 4.42644i −0.0124890 + 0.309912i
\(205\) 13.7379 10.3234i 0.959498 0.721016i
\(206\) −38.8422 7.92969i −2.70626 0.552487i
\(207\) 6.52217 + 3.42310i 0.453322 + 0.237922i
\(208\) 11.8726 26.4707i 0.823216 1.83542i
\(209\) 22.7487 11.9394i 1.57356 0.825868i
\(210\) 15.1048 4.37516i 1.04233 0.301914i
\(211\) −19.1071 1.54248i −1.31539 0.106189i −0.597229 0.802070i \(-0.703732\pi\)
−0.718157 + 0.695882i \(0.755014\pi\)
\(212\) 10.3597 + 50.7454i 0.711510 + 3.48521i
\(213\) 6.23241 11.8749i 0.427038 0.813652i
\(214\) −15.9595 + 21.2382i −1.09097 + 1.45182i
\(215\) 5.79630 + 9.16611i 0.395304 + 0.625123i
\(216\) 5.52744 + 3.81532i 0.376095 + 0.259600i
\(217\) −3.64925 7.69063i −0.247727 0.522074i
\(218\) −28.2242 29.3845i −1.91158 1.99017i
\(219\) 11.5975 11.1396i 0.783688 0.752742i
\(220\) −4.74427 + 39.0726i −0.319859 + 2.63427i
\(221\) −2.88683 + 1.91331i −0.194189 + 0.128703i
\(222\) −0.0538351 0.443372i −0.00361318 0.0297572i
\(223\) 21.6372 + 17.6662i 1.44894 + 1.18302i 0.948306 + 0.317358i \(0.102796\pi\)
0.500630 + 0.865662i \(0.333102\pi\)
\(224\) −4.49161 + 22.0014i −0.300108 + 1.47003i
\(225\) 0.304167 1.05010i 0.0202778 0.0700070i
\(226\) 0.118410 0.480409i 0.00787653 0.0319563i
\(227\) 0.924494 + 11.4519i 0.0613608 + 0.760090i 0.952142 + 0.305657i \(0.0988762\pi\)
−0.890781 + 0.454433i \(0.849842\pi\)
\(228\) −4.40203 + 27.0868i −0.291532 + 1.79387i
\(229\) −4.29201 4.84467i −0.283624 0.320145i 0.589382 0.807854i \(-0.299371\pi\)
−0.873006 + 0.487709i \(0.837833\pi\)
\(230\) −29.9285 22.4898i −1.97342 1.48293i
\(231\) −8.44923 + 10.3484i −0.555919 + 0.680877i
\(232\) −2.92241 17.9823i −0.191865 1.18060i
\(233\) 13.7136 3.38010i 0.898409 0.221438i 0.237041 0.971500i \(-0.423822\pi\)
0.661368 + 0.750062i \(0.269976\pi\)
\(234\) 0.198621 + 9.26909i 0.0129843 + 0.605940i
\(235\) 0.0712032 + 0.0175500i 0.00464478 + 0.00114484i
\(236\) 0.0614817 0.761587i 0.00400212 0.0495751i
\(237\) −9.85515 3.29013i −0.640161 0.213717i
\(238\) 5.29399 5.51163i 0.343158 0.357266i
\(239\) 9.53842i 0.616989i 0.951226 + 0.308495i \(0.0998251\pi\)
−0.951226 + 0.308495i \(0.900175\pi\)
\(240\) −11.4699 11.0170i −0.740380 0.711145i
\(241\) −18.1956 + 14.8562i −1.17208 + 0.956973i −0.999607 0.0280418i \(-0.991073\pi\)
−0.172472 + 0.985014i \(0.555175\pi\)
\(242\) −9.13314 17.4017i −0.587100 1.11863i
\(243\) −0.987050 0.160411i −0.0633193 0.0102904i
\(244\) −0.0199592 0.0126214i −0.00127776 0.000808004i
\(245\) −4.59565 2.18066i −0.293606 0.139318i
\(246\) −12.6996 18.3986i −0.809697 1.17305i
\(247\) −19.1809 + 9.61020i −1.22045 + 0.611483i
\(248\) −10.4967 + 15.2070i −0.666539 + 0.965648i
\(249\) −3.79541 + 2.19128i −0.240524 + 0.138867i
\(250\) −13.2760 + 27.9787i −0.839650 + 1.76953i
\(251\) −12.9410 + 4.32034i −0.816828 + 0.272697i −0.694225 0.719758i \(-0.744253\pi\)
−0.122604 + 0.992456i \(0.539124\pi\)
\(252\) −3.41503 13.8553i −0.215127 0.872803i
\(253\) 31.7782 + 1.28062i 1.99788 + 0.0805118i
\(254\) −39.9552 1.61014i −2.50701 0.101029i
\(255\) 0.454358 + 1.84340i 0.0284530 + 0.115438i
\(256\) −24.1645 + 8.06730i −1.51028 + 0.504206i
\(257\) 1.62244 3.41923i 0.101205 0.213286i −0.846532 0.532338i \(-0.821313\pi\)
0.947737 + 0.319053i \(0.103365\pi\)
\(258\) 12.2186 7.05439i 0.760694 0.439187i
\(259\) −0.305292 + 0.442292i −0.0189699 + 0.0274827i
\(260\) 4.57607 32.5472i 0.283796 2.01849i
\(261\) 1.54089 + 2.23236i 0.0953785 + 0.138180i
\(262\) 28.6269 + 13.5837i 1.76858 + 0.839201i
\(263\) −7.93564 5.01819i −0.489332 0.309435i 0.266916 0.963720i \(-0.413995\pi\)
−0.756248 + 0.654285i \(0.772970\pi\)
\(264\) 28.6239 + 4.65184i 1.76168 + 0.286301i
\(265\) 10.3152 + 19.6540i 0.633658 + 1.20734i
\(266\) 36.6703 29.9404i 2.24840 1.83576i
\(267\) −9.25584 8.89035i −0.566448 0.544081i
\(268\) 50.7764i 3.10166i
\(269\) −13.9836 + 14.5585i −0.852596 + 0.887647i −0.994764 0.102196i \(-0.967413\pi\)
0.142168 + 0.989843i \(0.454593\pi\)
\(270\) 4.82088 + 1.60945i 0.293389 + 0.0979477i
\(271\) 1.31455 16.2836i 0.0798533 0.989160i −0.825472 0.564442i \(-0.809091\pi\)
0.905326 0.424718i \(-0.139627\pi\)
\(272\) −7.50430 1.84964i −0.455015 0.112151i
\(273\) 7.21721 8.50696i 0.436805 0.514865i
\(274\) −9.30784 + 2.29418i −0.562307 + 0.138596i
\(275\) −0.757215 4.65933i −0.0456618 0.280968i
\(276\) −21.4849 + 26.3143i −1.29324 + 1.58393i
\(277\) 1.42424 + 1.07025i 0.0855746 + 0.0643051i 0.642669 0.766144i \(-0.277827\pi\)
−0.557094 + 0.830449i \(0.688084\pi\)
\(278\) 20.9567 + 23.6552i 1.25690 + 1.41874i
\(279\) 0.441322 2.71556i 0.0264212 0.162576i
\(280\) 3.30516 + 40.9417i 0.197521 + 2.44674i
\(281\) −0.658602 + 2.67205i −0.0392889 + 0.159401i −0.987310 0.158807i \(-0.949235\pi\)
0.948021 + 0.318209i \(0.103081\pi\)
\(282\) 0.0265429 0.0916369i 0.00158061 0.00545690i
\(283\) 4.51758 22.1285i 0.268542 1.31541i −0.591964 0.805965i \(-0.701647\pi\)
0.860506 0.509441i \(-0.170148\pi\)
\(284\) 47.9102 + 39.1175i 2.84295 + 2.32119i
\(285\) 1.41761 + 11.6751i 0.0839722 + 0.691574i
\(286\) 17.9318 + 35.7899i 1.06033 + 2.11630i
\(287\) −3.24252 + 26.7046i −0.191400 + 1.57632i
\(288\) −5.23403 + 5.02736i −0.308418 + 0.296240i
\(289\) −11.1372 11.5950i −0.655127 0.682060i
\(290\) −5.91005 12.4552i −0.347050 0.731392i
\(291\) −3.89680 2.68977i −0.228434 0.157677i
\(292\) 39.6382 + 62.6828i 2.31965 + 3.66823i
\(293\) 8.31677 11.0676i 0.485871 0.646577i −0.488223 0.872719i \(-0.662355\pi\)
0.974094 + 0.226142i \(0.0726112\pi\)
\(294\) −3.07536 + 5.85961i −0.179359 + 0.341739i
\(295\) −0.0654993 0.320837i −0.00381352 0.0186798i
\(296\) 1.16280 + 0.0938706i 0.0675861 + 0.00545612i
\(297\) −4.14727 + 1.20127i −0.240649 + 0.0697049i
\(298\) −21.2774 + 11.1672i −1.23256 + 0.646899i
\(299\) −26.5117 1.56943i −1.53321 0.0907623i
\(300\) 4.46458 + 2.34319i 0.257762 + 0.135284i
\(301\) −16.6339 3.39584i −0.958762 0.195733i
\(302\) 21.8301 16.4043i 1.25618 0.943960i
\(303\) 0.140722 3.49198i 0.00808427 0.200609i
\(304\) −44.7659 16.9775i −2.56750 0.973725i
\(305\) −0.00972109 0.00281575i −0.000556628 0.000161229i
\(306\) 2.42002 0.494051i 0.138343 0.0282430i
\(307\) −10.3923 + 11.7305i −0.593119 + 0.669493i −0.966047 0.258367i \(-0.916816\pi\)
0.372928 + 0.927860i \(0.378354\pi\)
\(308\) −38.9676 47.7266i −2.22038 2.71948i
\(309\) 0.620787 + 15.4047i 0.0353153 + 0.876341i
\(310\) −4.42789 + 13.2631i −0.251487 + 0.753296i
\(311\) 10.2706 + 9.09894i 0.582391 + 0.515953i 0.902080 0.431569i \(-0.142040\pi\)
−0.319689 + 0.947523i \(0.603578\pi\)
\(312\) −23.8251 4.33443i −1.34883 0.245389i
\(313\) −6.65227 + 5.89340i −0.376009 + 0.333115i −0.829869 0.557958i \(-0.811585\pi\)
0.453860 + 0.891073i \(0.350047\pi\)
\(314\) −23.7330 55.7034i −1.33933 3.14353i
\(315\) −3.05783 5.29632i −0.172289 0.298414i
\(316\) 23.9588 41.4979i 1.34779 2.33444i
\(317\) 15.6683 + 1.90247i 0.880017 + 0.106853i 0.548058 0.836440i \(-0.315367\pi\)
0.331959 + 0.943294i \(0.392290\pi\)
\(318\) 26.0884 12.3791i 1.46296 0.694184i
\(319\) 10.1429 + 5.85599i 0.567891 + 0.327872i
\(320\) 4.17859 2.88427i 0.233590 0.161236i
\(321\) 9.50482 + 4.04963i 0.530508 + 0.226028i
\(322\) 57.8451 9.40074i 3.22358 0.523883i
\(323\) 3.43353 + 4.56920i 0.191047 + 0.254237i
\(324\) 1.63543 4.31226i 0.0908570 0.239570i
\(325\) 0.558859 + 3.90202i 0.0309999 + 0.216445i
\(326\) −8.79877 23.2004i −0.487319 1.28495i
\(327\) −8.46867 + 13.3921i −0.468319 + 0.740587i
\(328\) 53.7202 22.8881i 2.96620 1.26378i
\(329\) −0.0970266 + 0.0613559i −0.00534925 + 0.00338266i
\(330\) 21.7847 2.64514i 1.19921 0.145610i
\(331\) 3.32772 7.81045i 0.182908 0.429301i −0.803134 0.595799i \(-0.796836\pi\)
0.986042 + 0.166498i \(0.0532458\pi\)
\(332\) −6.40056 19.1720i −0.351277 1.05220i
\(333\) −0.162405 + 0.0615922i −0.00889976 + 0.00337523i
\(334\) 60.7086 4.90091i 3.32183 0.268166i
\(335\) −6.05434 20.9020i −0.330784 1.14200i
\(336\) 24.8760 1.00247i 1.35710 0.0546892i
\(337\) −6.51659 −0.354981 −0.177491 0.984123i \(-0.556798\pi\)
−0.177491 + 0.984123i \(0.556798\pi\)
\(338\) −14.4079 30.1634i −0.783689 1.64068i
\(339\) −0.192421 −0.0104509
\(340\) −8.74905 + 0.352575i −0.474484 + 0.0191210i
\(341\) −3.30493 11.4099i −0.178972 0.617882i
\(342\) 15.2506 1.23116i 0.824658 0.0665733i
\(343\) −12.8059 + 4.85663i −0.691453 + 0.262233i
\(344\) 11.6697 + 34.9551i 0.629190 + 1.88465i
\(345\) −5.70664 + 13.3940i −0.307235 + 0.721108i
\(346\) −0.967866 + 0.117520i −0.0520328 + 0.00631792i
\(347\) 14.4862 9.16049i 0.777657 0.491761i −0.0857200 0.996319i \(-0.527319\pi\)
0.863378 + 0.504558i \(0.168345\pi\)
\(348\) −11.5090 + 4.90352i −0.616947 + 0.262856i
\(349\) 0.276097 0.436612i 0.0147791 0.0233713i −0.837720 0.546100i \(-0.816112\pi\)
0.852499 + 0.522729i \(0.175086\pi\)
\(350\) −3.08442 8.13296i −0.164869 0.434725i
\(351\) 3.48149 0.937666i 0.185828 0.0500489i
\(352\) −11.1117 + 29.2992i −0.592256 + 1.56165i
\(353\) −16.8469 22.4192i −0.896672 1.19325i −0.980450 0.196770i \(-0.936955\pi\)
0.0837774 0.996484i \(-0.473302\pi\)
\(354\) −0.420483 + 0.0683352i −0.0223484 + 0.00363197i
\(355\) 24.3863 + 10.3900i 1.29429 + 0.551446i
\(356\) 48.7120 33.6235i 2.58173 1.78204i
\(357\) −2.57388 1.48603i −0.136224 0.0786490i
\(358\) 44.6765 21.1993i 2.36123 1.12042i
\(359\) −15.2900 1.85654i −0.806975 0.0979845i −0.293356 0.956003i \(-0.594772\pi\)
−0.513618 + 0.858019i \(0.671695\pi\)
\(360\) −6.63758 + 11.4966i −0.349831 + 0.605925i
\(361\) 8.20249 + 14.2071i 0.431710 + 0.747744i
\(362\) −9.88345 23.1973i −0.519463 1.21922i
\(363\) −5.72082 + 5.06820i −0.300265 + 0.266012i
\(364\) 31.7830 + 40.4606i 1.66588 + 2.12071i
\(365\) 23.7910 + 21.0770i 1.24528 + 1.10322i
\(366\) −0.00416939 + 0.0124888i −0.000217937 + 0.000652802i
\(367\) −0.693578 17.2110i −0.0362045 0.898405i −0.910624 0.413235i \(-0.864399\pi\)
0.874420 0.485170i \(-0.161242\pi\)
\(368\) −37.4839 45.9094i −1.95398 2.39319i
\(369\) −5.76529 + 6.50766i −0.300129 + 0.338775i
\(370\) 0.864941 0.176579i 0.0449662 0.00917991i
\(371\) −33.3749 9.66715i −1.73274 0.501893i
\(372\) 11.8638 + 4.49936i 0.615112 + 0.233281i
\(373\) 0.0109238 0.271071i 0.000565612 0.0140355i −0.998882 0.0472827i \(-0.984944\pi\)
0.999447 + 0.0332472i \(0.0105849\pi\)
\(374\) 8.52570 6.40665i 0.440854 0.331280i
\(375\) 11.8002 + 2.40903i 0.609361 + 0.124402i
\(376\) 0.220648 + 0.115805i 0.0113790 + 0.00597218i
\(377\) −8.37615 5.04886i −0.431394 0.260029i
\(378\) −7.04481 + 3.69740i −0.362346 + 0.190174i
\(379\) −35.2055 + 10.1974i −1.80839 + 0.523805i −0.998065 0.0621821i \(-0.980194\pi\)
−0.810320 + 0.585987i \(0.800707\pi\)
\(380\) −54.0648 4.36456i −2.77347 0.223897i
\(381\) 3.11061 + 15.2368i 0.159361 + 0.780604i
\(382\) −22.2872 + 42.4646i −1.14031 + 2.17268i
\(383\) 4.12280 5.48646i 0.210665 0.280345i −0.681725 0.731608i \(-0.738770\pi\)
0.892391 + 0.451263i \(0.149027\pi\)
\(384\) 4.22729 + 6.68492i 0.215723 + 0.341139i
\(385\) −21.7316 15.0003i −1.10755 0.764484i
\(386\) −0.961396 2.02610i −0.0489338 0.103126i
\(387\) −3.80088 3.95714i −0.193210 0.201153i
\(388\) 15.7493 15.1274i 0.799547 0.767976i
\(389\) −0.880473 + 7.25135i −0.0446418 + 0.367658i 0.953219 + 0.302281i \(0.0977481\pi\)
−0.997861 + 0.0653771i \(0.979175\pi\)
\(390\) −18.2298 + 1.86552i −0.923101 + 0.0944644i
\(391\) 0.852834 + 7.02372i 0.0431297 + 0.355205i
\(392\) −13.3890 10.9318i −0.676249 0.552140i
\(393\) 2.46485 12.0736i 0.124335 0.609035i
\(394\) 6.32319 21.8302i 0.318558 1.09979i
\(395\) 4.91459 19.9393i 0.247280 1.00325i
\(396\) −1.60236 19.8487i −0.0805214 0.997436i
\(397\) 2.37559 14.6176i 0.119227 0.733634i −0.856745 0.515740i \(-0.827517\pi\)
0.975972 0.217894i \(-0.0699188\pi\)
\(398\) 26.8072 + 30.2591i 1.34372 + 1.51675i
\(399\) −14.7183 11.0601i −0.736835 0.553695i
\(400\) −5.56348 + 6.81402i −0.278174 + 0.340701i
\(401\) 4.95977 + 30.5187i 0.247679 + 1.52403i 0.751216 + 0.660056i \(0.229468\pi\)
−0.503537 + 0.863974i \(0.667968\pi\)
\(402\) −27.4874 + 6.77504i −1.37095 + 0.337908i
\(403\) 2.57969 + 9.57824i 0.128504 + 0.477126i
\(404\) 15.6496 + 3.85728i 0.778597 + 0.191907i
\(405\) 0.159046 1.97014i 0.00790305 0.0978968i
\(406\) 20.4705 + 6.83407i 1.01594 + 0.339169i
\(407\) −0.519516 + 0.540873i −0.0257514 + 0.0268101i
\(408\) 6.45139i 0.319391i
\(409\) 20.1134 + 19.3191i 0.994542 + 0.955270i 0.999000 0.0447199i \(-0.0142395\pi\)
−0.00445793 + 0.999990i \(0.501419\pi\)
\(410\) 34.2278 27.9462i 1.69039 1.38016i
\(411\) 1.73255 + 3.30109i 0.0854602 + 0.162831i
\(412\) −70.1827 11.4058i −3.45766 0.561924i
\(413\) 0.433247 + 0.273969i 0.0213187 + 0.0134811i
\(414\) 17.1118 + 8.11963i 0.840997 + 0.399058i
\(415\) −4.92076 7.12896i −0.241551 0.349947i
\(416\) 9.73844 24.2871i 0.477466 1.19077i
\(417\) 6.98170 10.1147i 0.341895 0.495321i
\(418\) 57.2118 33.0312i 2.79832 1.61561i
\(419\) −2.52689 + 5.32532i −0.123447 + 0.260159i −0.955760 0.294146i \(-0.904965\pi\)
0.832314 + 0.554305i \(0.187016\pi\)
\(420\) 26.7537 8.93170i 1.30545 0.435822i
\(421\) 5.45639 + 22.1374i 0.265928 + 1.07891i 0.940253 + 0.340478i \(0.110589\pi\)
−0.674324 + 0.738435i \(0.735565\pi\)
\(422\) −49.2513 1.98476i −2.39752 0.0966166i
\(423\) −0.0370721 0.00149395i −0.00180251 7.26385e-5i
\(424\) 18.0502 + 73.2324i 0.876593 + 3.55648i
\(425\) 0.996097 0.332546i 0.0483178 0.0161308i
\(426\) 14.7833 31.1552i 0.716256 1.50948i
\(427\) 0.0137205 0.00792154i 0.000663982 0.000383350i
\(428\) −27.0676 + 39.2142i −1.30836 + 1.89549i
\(429\) 11.8452 10.1019i 0.571894 0.487724i
\(430\) 15.8414 + 22.9502i 0.763940 + 1.10676i
\(431\) 29.9507 + 14.2118i 1.44267 + 0.684558i 0.979451 0.201684i \(-0.0646413\pi\)
0.463224 + 0.886241i \(0.346693\pi\)
\(432\) 6.80065 + 4.30047i 0.327197 + 0.206907i
\(433\) 2.67646 + 0.434968i 0.128623 + 0.0209032i 0.224382 0.974501i \(-0.427964\pi\)
−0.0957591 + 0.995405i \(0.530528\pi\)
\(434\) −10.1722 19.3816i −0.488284 0.930347i
\(435\) −4.15298 + 3.39080i −0.199120 + 0.162577i
\(436\) −52.7034 50.6223i −2.52404 2.42437i
\(437\) 43.8286i 2.09660i
\(438\) 28.6440 29.8216i 1.36866 1.42493i
\(439\) −9.85360 3.28962i −0.470287 0.157005i 0.0716399 0.997431i \(-0.477177\pi\)
−0.541927 + 0.840426i \(0.682305\pi\)
\(440\) −4.61224 + 57.1329i −0.219880 + 2.72370i
\(441\) 2.49879 + 0.615896i 0.118990 + 0.0293284i
\(442\) −7.21901 + 5.21474i −0.343373 + 0.248040i
\(443\) −20.2706 + 4.99625i −0.963084 + 0.237379i −0.689351 0.724427i \(-0.742104\pi\)
−0.273732 + 0.961806i \(0.588258\pi\)
\(444\) −0.128500 0.790691i −0.00609833 0.0375245i
\(445\) 16.0431 19.6492i 0.760516 0.931463i
\(446\) 57.4214 + 43.1494i 2.71898 + 2.04318i
\(447\) 6.19697 + 6.99493i 0.293106 + 0.330849i
\(448\) −1.27498 + 7.84526i −0.0602371 + 0.370654i
\(449\) 0.696327 + 8.62556i 0.0328617 + 0.407065i 0.992187 + 0.124762i \(0.0398166\pi\)
−0.959325 + 0.282304i \(0.908901\pi\)
\(450\) 0.672765 2.72952i 0.0317145 0.128671i
\(451\) −10.4440 + 36.0570i −0.491791 + 1.69786i
\(452\) 0.177511 0.869505i 0.00834940 0.0408981i
\(453\) −8.22591 6.71625i −0.386487 0.315557i
\(454\) 3.56101 + 29.3276i 0.167127 + 1.37641i
\(455\) 17.9077 + 12.8659i 0.839527 + 0.603162i
\(456\) −4.81709 + 39.6723i −0.225581 + 1.85782i
\(457\) −12.3909 + 11.9016i −0.579620 + 0.556732i −0.924144 0.382045i \(-0.875220\pi\)
0.344524 + 0.938778i \(0.388040\pi\)
\(458\) −11.5290 12.0030i −0.538716 0.560862i
\(459\) −0.411781 0.867810i −0.0192203 0.0405059i
\(460\) −55.2598 38.1431i −2.57650 1.77843i
\(461\) −11.8236 18.6975i −0.550679 0.870829i 0.449064 0.893499i \(-0.351757\pi\)
−0.999743 + 0.0226709i \(0.992783\pi\)
\(462\) −20.6371 + 27.4629i −0.960123 + 1.27769i
\(463\) 13.2026 25.1554i 0.613577 1.16907i −0.358305 0.933604i \(-0.616645\pi\)
0.971882 0.235468i \(-0.0756624\pi\)
\(464\) −4.36571 21.3847i −0.202673 0.992758i
\(465\) 5.42021 + 0.437565i 0.251356 + 0.0202916i
\(466\) 34.8843 10.1044i 1.61598 0.468075i
\(467\) −7.44657 + 3.90826i −0.344586 + 0.180853i −0.628134 0.778105i \(-0.716181\pi\)
0.283548 + 0.958958i \(0.408489\pi\)
\(468\) 1.02537 + 16.5970i 0.0473978 + 0.767198i
\(469\) 30.1633 + 15.8309i 1.39281 + 0.731005i
\(470\) 0.184759 + 0.0377188i 0.00852228 + 0.00173984i
\(471\) −18.8246 + 14.1458i −0.867392 + 0.651803i
\(472\) 0.0448038 1.11179i 0.00206226 0.0511745i
\(473\) −22.1513 8.40090i −1.01852 0.386274i
\(474\) −25.6614 7.43291i −1.17867 0.341405i
\(475\) 6.37371 1.30120i 0.292446 0.0597033i
\(476\) 9.08945 10.2599i 0.416614 0.470260i
\(477\) −7.10232 8.69876i −0.325193 0.398289i
\(478\) 0.987597 + 24.5070i 0.0451716 + 1.12092i
\(479\) 13.0517 39.0945i 0.596345 1.78627i −0.0212483 0.999774i \(-0.506764\pi\)
0.617593 0.786498i \(-0.288108\pi\)
\(480\) −10.7370 9.51217i −0.490076 0.434169i
\(481\) 0.442261 0.443400i 0.0201654 0.0202173i
\(482\) −45.2114 + 40.0538i −2.05932 + 1.82440i
\(483\) −8.93328 20.9672i −0.406478 0.954040i
\(484\) −17.6245 30.5265i −0.801113 1.38757i
\(485\) 4.67944 8.10502i 0.212482 0.368030i
\(486\) −2.55263 0.309945i −0.115789 0.0140594i
\(487\) 0.778090 0.369208i 0.0352586 0.0167304i −0.410982 0.911644i \(-0.634814\pi\)
0.446240 + 0.894913i \(0.352763\pi\)
\(488\) −0.0297828 0.0171951i −0.00134821 0.000778387i
\(489\) −7.94151 + 5.48163i −0.359127 + 0.247888i
\(490\) −12.0333 5.12693i −0.543611 0.231611i
\(491\) 12.1778 1.97908i 0.549575 0.0893146i 0.120718 0.992687i \(-0.461480\pi\)
0.428857 + 0.903372i \(0.358916\pi\)
\(492\) −24.0880 32.0553i −1.08597 1.44517i
\(493\) −0.923928 + 2.43620i −0.0416116 + 0.109721i
\(494\) −48.2864 + 26.6774i −2.17251 + 1.20027i
\(495\) −3.02628 7.97964i −0.136021 0.358658i
\(496\) −11.8314 + 18.7099i −0.531246 + 0.840099i
\(497\) −38.1748 + 16.2648i −1.71237 + 0.729574i
\(498\) −9.52462 + 6.02300i −0.426808 + 0.269897i
\(499\) 18.0030 2.18595i 0.805923 0.0978567i 0.292802 0.956173i \(-0.405412\pi\)
0.513121 + 0.858316i \(0.328489\pi\)
\(500\) −21.7717 + 51.1001i −0.973660 + 2.28526i
\(501\) −7.50067 22.4672i −0.335105 1.00376i
\(502\) −32.8018 + 12.4401i −1.46402 + 0.555229i
\(503\) 9.03832 0.729649i 0.402999 0.0325334i 0.122694 0.992445i \(-0.460847\pi\)
0.280305 + 0.959911i \(0.409565\pi\)
\(504\) −5.78168 19.9607i −0.257537 0.889120i
\(505\) 6.90206 0.278143i 0.307138 0.0123772i
\(506\) 81.7801 3.63557
\(507\) −10.0487 + 8.24768i −0.446277 + 0.366292i
\(508\) −71.7209 −3.18210
\(509\) −32.9095 + 1.32621i −1.45869 + 0.0587831i −0.756867 0.653569i \(-0.773271\pi\)
−0.701822 + 0.712353i \(0.747630\pi\)
\(510\) 1.35824 + 4.68919i 0.0601439 + 0.207641i
\(511\) −49.5946 + 4.00369i −2.19394 + 0.177113i
\(512\) −46.4595 + 17.6198i −2.05324 + 0.778692i
\(513\) −1.88424 5.64399i −0.0831913 0.249188i
\(514\) 3.81450 8.95297i 0.168251 0.394899i
\(515\) −30.2506 + 3.67308i −1.33300 + 0.161855i
\(516\) 21.3877 13.5248i 0.941542 0.595395i
\(517\) −0.147379 + 0.0627922i −0.00648171 + 0.00276160i
\(518\) −0.738590 + 1.16799i −0.0324518 + 0.0513184i
\(519\) 0.134454 + 0.354525i 0.00590186 + 0.0155619i
\(520\) 4.75014 47.6280i 0.208307 2.08862i
\(521\) 2.44706 6.45238i 0.107208 0.282684i −0.870668 0.491872i \(-0.836313\pi\)
0.977875 + 0.209188i \(0.0670821\pi\)
\(522\) 4.19012 + 5.57604i 0.183397 + 0.244056i
\(523\) −7.90061 + 1.28397i −0.345470 + 0.0561443i −0.330671 0.943746i \(-0.607275\pi\)
−0.0147989 + 0.999890i \(0.504711\pi\)
\(524\) 52.2841 + 22.2762i 2.28404 + 0.973139i
\(525\) −2.78391 + 1.92160i −0.121500 + 0.0838653i
\(526\) −20.9085 12.0715i −0.911655 0.526344i
\(527\) 2.38751 1.13289i 0.104002 0.0493493i
\(528\) 34.4886 + 4.18767i 1.50092 + 0.182245i
\(529\) −15.6281 + 27.0687i −0.679484 + 1.17690i
\(530\) 28.5377 + 49.4288i 1.23960 + 2.14705i
\(531\) 0.0649371 + 0.152413i 0.00281803 + 0.00661416i
\(532\) 63.5555 56.3053i 2.75548 2.44114i
\(533\) 9.28737 29.9398i 0.402281 1.29684i
\(534\) −24.7014 21.8835i −1.06893 0.946993i
\(535\) −6.46661 + 19.3699i −0.279576 + 0.837433i
\(536\) −2.97746 73.8850i −0.128607 3.19134i
\(537\) −12.1628 14.8967i −0.524862 0.642839i
\(538\) −34.4206 + 38.8528i −1.48398 + 1.67506i
\(539\) 10.8875 2.22269i 0.468956 0.0957381i
\(540\) 8.75585 + 2.53616i 0.376792 + 0.109139i
\(541\) −17.6943 6.71056i −0.760737 0.288509i −0.0564312 0.998406i \(-0.517972\pi\)
−0.704305 + 0.709897i \(0.748741\pi\)
\(542\) 1.69147 41.9735i 0.0726550 1.80291i
\(543\) −7.83938 + 5.89091i −0.336420 + 0.252803i
\(544\) −6.83019 1.39439i −0.292842 0.0597841i
\(545\) −27.7312 14.5545i −1.18788 0.623445i
\(546\) 17.6623 22.6041i 0.755876 0.967366i
\(547\) −10.6065 + 5.56673i −0.453502 + 0.238016i −0.675978 0.736922i \(-0.736279\pi\)
0.222476 + 0.974938i \(0.428586\pi\)
\(548\) −16.5151 + 4.78367i −0.705492 + 0.204348i
\(549\) 0.00510378 0.000412020i 0.000217824 1.75846e-5i
\(550\) −2.42793 11.8928i −0.103527 0.507109i
\(551\) −7.50066 + 14.2913i −0.319539 + 0.608830i
\(552\) −29.7198 + 39.5499i −1.26496 + 1.68336i
\(553\) 17.1817 + 27.1707i 0.730640 + 1.15542i
\(554\) 3.77011 + 2.60232i 0.160177 + 0.110562i
\(555\) −0.147175 0.310165i −0.00624723 0.0131658i
\(556\) 39.2654 + 40.8796i 1.66522 + 1.73368i
\(557\) 5.44988 5.23468i 0.230919 0.221801i −0.568330 0.822801i \(-0.692410\pi\)
0.799249 + 0.601000i \(0.205231\pi\)
\(558\) 0.852717 7.02276i 0.0360984 0.297297i
\(559\) 18.3620 + 7.36265i 0.776632 + 0.311407i
\(560\) 5.93143 + 48.8497i 0.250649 + 2.06428i
\(561\) −3.21261 2.62301i −0.135636 0.110744i
\(562\) −1.41548 + 6.93346i −0.0597083 + 0.292471i
\(563\) −0.184268 + 0.636166i −0.00776596 + 0.0268112i −0.964308 0.264785i \(-0.914699\pi\)
0.956542 + 0.291596i \(0.0941863\pi\)
\(564\) 0.0409503 0.166142i 0.00172432 0.00699583i
\(565\) −0.0306038 0.379096i −0.00128751 0.0159487i
\(566\) 9.31579 57.3224i 0.391572 2.40944i
\(567\) 2.05178 + 2.31598i 0.0861667 + 0.0972621i
\(568\) 72.0082 + 54.1106i 3.02140 + 2.27043i
\(569\) −15.7182 + 19.2513i −0.658941 + 0.807056i −0.990665 0.136320i \(-0.956472\pi\)
0.331724 + 0.943376i \(0.392370\pi\)
\(570\) 4.85109 + 29.8499i 0.203190 + 1.25028i
\(571\) −38.0958 + 9.38977i −1.59426 + 0.392950i −0.933767 0.357883i \(-0.883499\pi\)
−0.660493 + 0.750832i \(0.729653\pi\)
\(572\) 34.7207 + 62.8449i 1.45175 + 2.62768i
\(573\) 18.1087 + 4.46340i 0.756504 + 0.186461i
\(574\) −5.56602 + 68.9475i −0.232321 + 2.87781i
\(575\) 7.63846 + 2.55009i 0.318546 + 0.106346i
\(576\) −1.77947 + 1.85263i −0.0741448 + 0.0771929i
\(577\) 13.2724i 0.552539i 0.961080 + 0.276270i \(0.0890983\pi\)
−0.961080 + 0.276270i \(0.910902\pi\)
\(578\) −29.8151 28.6378i −1.24015 1.19118i
\(579\) −0.675572 + 0.551587i −0.0280758 + 0.0229232i
\(580\) −11.4911 21.8944i −0.477140 0.909115i
\(581\) 13.3846 + 2.17520i 0.555285 + 0.0902426i
\(582\) −10.2905 6.50732i −0.426555 0.269737i
\(583\) −43.8065 20.7864i −1.81428 0.860887i
\(584\) 61.3534 + 88.8858i 2.53882 + 3.67812i
\(585\) 2.40105 + 6.70988i 0.0992710 + 0.277419i
\(586\) 20.2223 29.2970i 0.835374 1.21025i
\(587\) 7.10854 4.10412i 0.293401 0.169395i −0.346074 0.938207i \(-0.612485\pi\)
0.639475 + 0.768812i \(0.279152\pi\)
\(588\) −5.08825 + 10.7233i −0.209836 + 0.442220i
\(589\) 15.5277 5.18390i 0.639807 0.213599i
\(590\) −0.201506 0.817541i −0.00829586 0.0336576i
\(591\) −8.83150 0.355897i −0.363279 0.0146397i
\(592\) 1.39645 + 0.0562750i 0.0573937 + 0.00231289i
\(593\) −10.6066 43.0328i −0.435562 1.76714i −0.620308 0.784358i \(-0.712993\pi\)
0.184746 0.982786i \(-0.440854\pi\)
\(594\) −10.5312 + 3.51582i −0.432099 + 0.144256i
\(595\) 2.51832 5.30724i 0.103241 0.217575i
\(596\) −37.3252 + 21.5497i −1.52890 + 0.882710i
\(597\) 8.93080 12.9385i 0.365513 0.529538i
\(598\) −68.2786 1.28733i −2.79212 0.0526426i
\(599\) −21.6078 31.3042i −0.882869 1.27906i −0.959417 0.281991i \(-0.909005\pi\)
0.0765482 0.997066i \(-0.475610\pi\)
\(600\) 6.63383 + 3.14779i 0.270825 + 0.128508i
\(601\) 13.7304 + 8.68255i 0.560073 + 0.354169i 0.784313 0.620365i \(-0.213016\pi\)
−0.224240 + 0.974534i \(0.571990\pi\)
\(602\) −43.0889 7.00263i −1.75617 0.285406i
\(603\) 5.11646 + 9.74861i 0.208358 + 0.396994i
\(604\) 37.9376 30.9751i 1.54366 1.26036i
\(605\) −10.8949 10.4647i −0.442942 0.425451i
\(606\) 8.98648i 0.365051i
\(607\) −0.893522 + 0.930255i −0.0362670 + 0.0377579i −0.739089 0.673608i \(-0.764744\pi\)
0.702822 + 0.711366i \(0.251923\pi\)
\(608\) −40.9605 13.6746i −1.66117 0.554579i
\(609\) 0.675344 8.36564i 0.0273663 0.338993i
\(610\) −0.0252678 0.00622796i −0.00102306 0.000252163i
\(611\) 0.124036 0.0501056i 0.00501795 0.00202706i
\(612\) 4.30130 1.06018i 0.173870 0.0428550i
\(613\) −2.55562 15.7254i −0.103221 0.635142i −0.986178 0.165689i \(-0.947015\pi\)
0.882957 0.469453i \(-0.155549\pi\)
\(614\) −25.4862 + 31.2150i −1.02854 + 1.25973i
\(615\) −13.7379 10.3234i −0.553967 0.416279i
\(616\) −59.5005 67.1622i −2.39735 2.70604i
\(617\) 1.23126 7.57625i 0.0495687 0.305008i −0.950413 0.310989i \(-0.899340\pi\)
0.999982 + 0.00598092i \(0.00190380\pi\)
\(618\) 3.18996 + 39.5148i 0.128319 + 1.58952i
\(619\) 3.96871 16.1017i 0.159516 0.647181i −0.835675 0.549225i \(-0.814923\pi\)
0.995191 0.0979567i \(-0.0312307\pi\)
\(620\) −6.97746 + 24.0890i −0.280222 + 0.967438i
\(621\) 1.47337 7.21703i 0.0591242 0.289609i
\(622\) 27.3302 + 22.3144i 1.09584 + 0.894726i
\(623\) 4.78646 + 39.4201i 0.191766 + 1.57933i
\(624\) −28.7288 4.03921i −1.15007 0.161698i
\(625\) −2.21045 + 18.2047i −0.0884181 + 0.728188i
\(626\) −16.4814 + 15.8306i −0.658730 + 0.632719i
\(627\) −17.7971 18.5288i −0.710749 0.739968i
\(628\) −46.5554 98.1135i −1.85776 3.91516i
\(629\) −0.137307 0.0947762i −0.00547479 0.00377898i
\(630\) −8.40483 13.2912i −0.334857 0.529533i
\(631\) 10.0749 13.4072i 0.401074 0.533732i −0.553049 0.833149i \(-0.686536\pi\)
0.954122 + 0.299417i \(0.0967921\pi\)
\(632\) 32.4292 61.7887i 1.28997 2.45782i
\(633\) 3.83434 + 18.7818i 0.152401 + 0.746511i
\(634\) 40.4533 + 3.26573i 1.60660 + 0.129699i
\(635\) −29.5238 + 8.55167i −1.17162 + 0.339363i
\(636\) 45.8596 24.0690i 1.81845 0.954397i
\(637\) −9.12499 + 1.68435i −0.361545 + 0.0667366i
\(638\) 26.6663 + 13.9955i 1.05573 + 0.554089i
\(639\) −13.1400 2.68255i −0.519810 0.106120i
\(640\) −12.4979 + 9.39154i −0.494022 + 0.371233i
\(641\) −1.17889 + 29.2538i −0.0465632 + 1.15545i 0.791955 + 0.610580i \(0.209064\pi\)
−0.838518 + 0.544874i \(0.816577\pi\)
\(642\) 24.8399 + 9.42054i 0.980354 + 0.371799i
\(643\) 32.3784 + 9.37850i 1.27688 + 0.369852i 0.846303 0.532703i \(-0.178824\pi\)
0.430575 + 0.902555i \(0.358311\pi\)
\(644\) 102.987 21.0249i 4.05825 0.828497i
\(645\) 7.19158 8.11762i 0.283168 0.319631i
\(646\) 9.29482 + 11.3841i 0.365700 + 0.447901i
\(647\) 1.33258 + 33.0677i 0.0523892 + 1.30003i 0.785050 + 0.619432i \(0.212637\pi\)
−0.732661 + 0.680594i \(0.761722\pi\)
\(648\) 2.12685 6.37070i 0.0835506 0.250265i
\(649\) 0.535426 + 0.474346i 0.0210173 + 0.0186197i
\(650\) 1.83988 + 9.96755i 0.0721661 + 0.390960i
\(651\) −6.37170 + 5.64483i −0.249727 + 0.221238i
\(652\) −17.4440 40.9427i −0.683161 1.60344i
\(653\) −4.42062 7.65674i −0.172992 0.299631i 0.766472 0.642277i \(-0.222010\pi\)
−0.939465 + 0.342646i \(0.888677\pi\)
\(654\) −20.3719 + 35.2851i −0.796603 + 1.37976i
\(655\) 24.1788 + 2.93583i 0.944742 + 0.114712i
\(656\) 63.2015 29.9895i 2.46761 1.17089i
\(657\) −13.9264 8.04041i −0.543320 0.313686i
\(658\) −0.242937 + 0.167687i −0.00947066 + 0.00653712i
\(659\) 42.6120 + 18.1553i 1.65993 + 0.707229i 0.999063 0.0432760i \(-0.0137795\pi\)
0.660865 + 0.750505i \(0.270190\pi\)
\(660\) 38.8498 6.31371i 1.51223 0.245761i
\(661\) 14.1261 + 18.7985i 0.549443 + 0.731176i 0.985675 0.168658i \(-0.0539434\pi\)
−0.436231 + 0.899835i \(0.643687\pi\)
\(662\) 7.74120 20.4119i 0.300870 0.793330i
\(663\) 2.64093 + 2.24054i 0.102565 + 0.0870153i
\(664\) −10.4377 27.5220i −0.405062 1.06806i
\(665\) 19.4489 30.7560i 0.754197 1.19267i
\(666\) −0.410889 + 0.175063i −0.0159216 + 0.00678357i
\(667\) −16.8870 + 10.6787i −0.653867 + 0.413480i
\(668\) 108.444 13.1674i 4.19581 0.509463i
\(669\) 10.9489 25.6980i 0.423309 0.993542i
\(670\) −17.7195 53.0764i −0.684564 2.05052i
\(671\) 0.0206718 0.00783979i 0.000798027 0.000302652i
\(672\) 22.3823 1.80689i 0.863418 0.0697023i
\(673\) 6.70801 + 23.1587i 0.258575 + 0.892703i 0.979796 + 0.199999i \(0.0640938\pi\)
−0.721221 + 0.692705i \(0.756419\pi\)
\(674\) −16.7430 + 0.674719i −0.644916 + 0.0259892i
\(675\) −1.09327 −0.0420799
\(676\) −27.9993 53.0161i −1.07689 2.03908i
\(677\) 33.6620 1.29373 0.646867 0.762603i \(-0.276079\pi\)
0.646867 + 0.762603i \(0.276079\pi\)
\(678\) −0.494386 + 0.0199231i −0.0189868 + 0.000765140i
\(679\) 4.07604 + 14.0721i 0.156424 + 0.540038i
\(680\) −12.7101 + 1.02607i −0.487411 + 0.0393479i
\(681\) 10.7426 4.07412i 0.411656 0.156121i
\(682\) −9.67268 28.9732i −0.370386 1.10944i
\(683\) 2.48211 5.82574i 0.0949755 0.222916i −0.865715 0.500537i \(-0.833136\pi\)
0.960691 + 0.277622i \(0.0895461\pi\)
\(684\) 27.2421 3.30779i 1.04163 0.126476i
\(685\) −6.22804 + 3.93838i −0.237961 + 0.150478i
\(686\) −32.3992 + 13.8040i −1.23701 + 0.527039i
\(687\) −3.45929 + 5.47042i −0.131980 + 0.208710i
\(688\) 15.6554 + 41.2800i 0.596858 + 1.57378i
\(689\) 36.2471 + 18.0443i 1.38090 + 0.687433i
\(690\) −13.2752 + 35.0039i −0.505379 + 1.33258i
\(691\) −21.9980 29.2740i −0.836842 1.11363i −0.992061 0.125755i \(-0.959865\pi\)
0.155219 0.987880i \(-0.450392\pi\)
\(692\) −1.72605 + 0.280510i −0.0656146 + 0.0106634i
\(693\) 12.2906 + 5.23653i 0.466880 + 0.198919i
\(694\) 36.2707 25.0358i 1.37682 0.950347i
\(695\) 21.0378 + 12.1462i 0.798010 + 0.460731i
\(696\) −16.4593 + 7.81001i −0.623886 + 0.296038i
\(697\) −8.29028 1.00662i −0.314017 0.0381285i
\(698\) 0.664166 1.15037i 0.0251390 0.0435421i
\(699\) −7.06202 12.2318i −0.267110 0.462648i
\(700\) −6.11504 14.3525i −0.231127 0.542474i
\(701\) −7.31887 + 6.48395i −0.276430 + 0.244896i −0.789934 0.613191i \(-0.789885\pi\)
0.513504 + 0.858087i \(0.328347\pi\)
\(702\) 8.84787 2.76960i 0.333941 0.104532i
\(703\) −0.773591 0.685342i −0.0291765 0.0258482i
\(704\) −3.51231 + 10.5206i −0.132375 + 0.396512i
\(705\) −0.00295287 0.0732747i −0.000111211 0.00275968i
\(706\) −45.6059 55.8571i −1.71640 2.10221i
\(707\) −7.17059 + 8.09393i −0.269678 + 0.304403i
\(708\) −0.748624 + 0.152833i −0.0281350 + 0.00574380i
\(709\) 21.7841 + 6.30985i 0.818120 + 0.236971i 0.660786 0.750574i \(-0.270223\pi\)
0.157334 + 0.987546i \(0.449710\pi\)
\(710\) 63.7313 + 24.1701i 2.39179 + 0.907087i
\(711\) −0.418357 + 10.3814i −0.0156896 + 0.389334i
\(712\) 68.9094 51.7821i 2.58249 1.94062i
\(713\) 19.8554 + 4.05351i 0.743591 + 0.151805i
\(714\) −6.76690 3.55154i −0.253245 0.132913i
\(715\) 21.7861 + 21.7301i 0.814752 + 0.812658i
\(716\) 78.5348 41.2183i 2.93498 1.54040i
\(717\) 9.16182 2.65375i 0.342155 0.0991063i
\(718\) −39.4766 3.18688i −1.47325 0.118933i
\(719\) 6.66348 + 32.6399i 0.248506 + 1.21726i 0.892080 + 0.451878i \(0.149246\pi\)
−0.643574 + 0.765384i \(0.722549\pi\)
\(720\) −7.39090 + 14.0822i −0.275443 + 0.524812i
\(721\) 28.6570 38.1355i 1.06724 1.42024i
\(722\) 22.5456 + 35.6529i 0.839059 + 1.32687i
\(723\) 19.3320 + 13.3439i 0.718964 + 0.496265i
\(724\) −19.3877 40.8587i −0.720538 1.51850i
\(725\) 2.05428 + 2.13874i 0.0762942 + 0.0794307i
\(726\) −14.1737 + 13.6140i −0.526035 + 0.505263i
\(727\) −0.565871 + 4.66037i −0.0209870 + 0.172843i −0.999433 0.0336573i \(-0.989285\pi\)
0.978446 + 0.206501i \(0.0662076\pi\)
\(728\) 48.6201 + 57.0107i 1.80198 + 2.11296i
\(729\) 0.120537 + 0.992709i 0.00446432 + 0.0367670i
\(730\) 63.3083 + 51.6896i 2.34314 + 1.91312i
\(731\) 1.05422 5.16390i 0.0389916 0.190994i
\(732\) −0.00657012 + 0.0226827i −0.000242839 + 0.000838376i
\(733\) −4.30556 + 17.4684i −0.159030 + 0.645208i 0.836266 + 0.548324i \(0.184734\pi\)
−0.995296 + 0.0968845i \(0.969112\pi\)
\(734\) −3.56401 44.1481i −0.131550 1.62954i
\(735\) −0.815977 + 5.02091i −0.0300978 + 0.185199i
\(736\) −35.4485 40.0131i −1.30665 1.47490i
\(737\) 38.0032 + 28.5575i 1.39987 + 1.05193i
\(738\) −14.1389 + 17.3170i −0.520460 + 0.637447i
\(739\) −2.50519 15.4150i −0.0921548 0.567051i −0.991530 0.129875i \(-0.958543\pi\)
0.899376 0.437177i \(-0.144022\pi\)
\(740\) 1.53733 0.378918i 0.0565134 0.0139293i
\(741\) 14.5672 + 15.7499i 0.535141 + 0.578588i
\(742\) −86.7506 21.3821i −3.18472 0.784962i
\(743\) 1.73201 21.4547i 0.0635411 0.787098i −0.884005 0.467478i \(-0.845163\pi\)
0.947546 0.319620i \(-0.103555\pi\)
\(744\) 17.5270 + 5.85137i 0.642571 + 0.214522i
\(745\) −12.7954 + 13.3214i −0.468786 + 0.488058i
\(746\) 0.697590i 0.0255406i
\(747\) 3.16071 + 3.03591i 0.115644 + 0.111078i
\(748\) 14.8164 12.0973i 0.541743 0.442319i
\(749\) −14.8558 28.3054i −0.542821 1.03426i
\(750\) 30.5676 + 4.96772i 1.11617 + 0.181396i
\(751\) 7.53045 + 4.76197i 0.274790 + 0.173767i 0.664752 0.747064i \(-0.268537\pi\)
−0.389962 + 0.920831i \(0.627512\pi\)
\(752\) 0.269712 + 0.127980i 0.00983538 + 0.00466695i
\(753\) 7.75017 + 11.2281i 0.282432 + 0.409173i
\(754\) −22.0435 12.1047i −0.802777 0.440828i
\(755\) 11.9236 17.2743i 0.433945 0.628678i
\(756\) −12.3582 + 7.13499i −0.449462 + 0.259497i
\(757\) −15.2388 + 32.1152i −0.553865 + 1.16725i 0.412710 + 0.910863i \(0.364582\pi\)
−0.966575 + 0.256384i \(0.917469\pi\)
\(758\) −89.3973 + 29.8452i −3.24706 + 1.08403i
\(759\) −7.61120 30.8799i −0.276269 1.12087i
\(760\) −78.9259 3.18060i −2.86294 0.115373i
\(761\) −45.6977 1.84155i −1.65654 0.0667563i −0.805748 0.592259i \(-0.798236\pi\)
−0.850792 + 0.525503i \(0.823877\pi\)
\(762\) 9.56966 + 38.8256i 0.346672 + 1.40650i
\(763\) 46.5036 15.5252i 1.68354 0.562049i
\(764\) −36.8746 + 77.7115i −1.33408 + 2.81151i
\(765\) 1.64421 0.949286i 0.0594466 0.0343215i
\(766\) 10.0246 14.5232i 0.362204 0.524743i
\(767\) −0.439563 0.404462i −0.0158717 0.0146043i
\(768\) 14.4718 + 20.9660i 0.522205 + 0.756545i
\(769\) −3.21407 1.52509i −0.115902 0.0549963i 0.369859 0.929088i \(-0.379406\pi\)
−0.485761 + 0.874092i \(0.661457\pi\)
\(770\) −57.3879 36.2899i −2.06812 1.30780i
\(771\) −3.73562 0.607098i −0.134535 0.0218641i
\(772\) −1.86927 3.56159i −0.0672765 0.128185i