Properties

Label 770.2.bv.a.3.16
Level $770$
Weight $2$
Character 770.3
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 3.16
Character \(\chi\) \(=\) 770.3
Dual form 770.2.bv.a.257.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.933580 + 0.358368i) q^{2} +(0.907325 - 0.589224i) q^{3} +(0.743145 - 0.669131i) q^{4} +(-1.48749 - 1.66954i) q^{5} +(-0.635902 + 0.875244i) q^{6} +(-0.0897121 + 2.64423i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(-0.744156 + 1.67140i) q^{9} +O(q^{10})\) \(q+(-0.933580 + 0.358368i) q^{2} +(0.907325 - 0.589224i) q^{3} +(0.743145 - 0.669131i) q^{4} +(-1.48749 - 1.66954i) q^{5} +(-0.635902 + 0.875244i) q^{6} +(-0.0897121 + 2.64423i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(-0.744156 + 1.67140i) q^{9} +(1.98700 + 1.02558i) q^{10} +(3.16826 + 0.980879i) q^{11} +(0.280006 - 1.04500i) q^{12} +(0.567508 - 3.58311i) q^{13} +(-0.863854 - 2.50075i) q^{14} +(-2.33337 - 0.638349i) q^{15} +(0.104528 - 0.994522i) q^{16} +(3.15829 + 1.21235i) q^{17} +(0.0957526 - 1.82707i) q^{18} +(2.20010 - 2.44346i) q^{19} +(-2.22256 - 0.245382i) q^{20} +(1.47665 + 2.45204i) q^{21} +(-3.30934 + 0.219674i) q^{22} +(-2.16180 + 8.06795i) q^{23} +(0.113085 + 1.07593i) q^{24} +(-0.574726 + 4.96686i) q^{25} +(0.754256 + 3.54849i) q^{26} +(0.817359 + 5.16060i) q^{27} +(1.70267 + 2.02507i) q^{28} +(-2.72355 - 0.884934i) q^{29} +(2.40715 - 0.240256i) q^{30} +(8.70218 - 0.914636i) q^{31} +(0.258819 + 0.965926i) q^{32} +(3.45260 - 0.976839i) q^{33} -3.38298 q^{34} +(4.54809 - 3.78350i) q^{35} +(0.565370 + 1.74003i) q^{36} +(5.68859 - 8.75966i) q^{37} +(-1.17831 + 3.06961i) q^{38} +(-1.59634 - 3.58543i) q^{39} +(2.16288 - 0.567411i) q^{40} +(4.04375 - 1.31389i) q^{41} +(-2.25730 - 1.75999i) q^{42} +(0.101811 + 0.101811i) q^{43} +(3.01081 - 1.39105i) q^{44} +(3.89740 - 1.24380i) q^{45} +(-0.873080 - 8.30680i) q^{46} +(-0.391558 + 0.0205207i) q^{47} +(-0.491155 - 0.963945i) q^{48} +(-6.98390 - 0.474439i) q^{49} +(-1.24341 - 4.84293i) q^{50} +(3.57994 - 0.760940i) q^{51} +(-1.97583 - 3.04250i) q^{52} +(3.33368 - 4.11676i) q^{53} +(-2.61247 - 4.52492i) q^{54} +(-3.07515 - 6.74859i) q^{55} +(-2.31530 - 1.28039i) q^{56} +(0.556463 - 3.51337i) q^{57} +(2.85978 - 0.149875i) q^{58} +(7.54793 + 8.38283i) q^{59} +(-2.16117 + 1.08695i) q^{60} +(13.4688 + 1.41562i) q^{61} +(-7.79641 + 3.97247i) q^{62} +(-4.35281 - 2.11766i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(-6.82630 + 4.38237i) q^{65} +(-2.87321 + 2.14926i) q^{66} +(3.26997 + 12.2037i) q^{67} +(3.15829 - 1.21235i) q^{68} +(2.79237 + 8.59404i) q^{69} +(-2.89013 + 5.16209i) q^{70} +(-1.56525 - 1.13722i) q^{71} +(-1.15139 - 1.42185i) q^{72} +(-8.60268 - 0.450847i) q^{73} +(-2.17158 + 10.2165i) q^{74} +(2.40513 + 4.84520i) q^{75} -3.28800i q^{76} +(-2.87790 + 8.28961i) q^{77} +(2.77521 + 2.77521i) q^{78} +(6.72159 - 15.0969i) q^{79} +(-1.81588 + 1.30483i) q^{80} +(0.109684 + 0.121816i) q^{81} +(-3.30431 + 2.67578i) q^{82} +(-2.68493 + 0.425252i) q^{83} +(2.73809 + 0.834150i) q^{84} +(-2.67386 - 7.07625i) q^{85} +(-0.131535 - 0.0585632i) q^{86} +(-2.99257 + 0.801856i) q^{87} +(-2.31233 + 2.37763i) q^{88} +(-1.64065 - 2.84169i) q^{89} +(-3.19280 + 2.55789i) q^{90} +(9.42364 + 1.82207i) q^{91} +(3.79198 + 7.44218i) q^{92} +(7.35678 - 5.95741i) q^{93} +(0.358197 - 0.159479i) q^{94} +(-7.35210 - 0.0385253i) q^{95} +(0.803979 + 0.723906i) q^{96} +(-3.14577 - 0.498242i) q^{97} +(6.69006 - 2.05988i) q^{98} +(-3.99712 + 4.56551i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.933580 + 0.358368i −0.660141 + 0.253404i
\(3\) 0.907325 0.589224i 0.523844 0.340189i −0.255475 0.966816i \(-0.582232\pi\)
0.779319 + 0.626627i \(0.215565\pi\)
\(4\) 0.743145 0.669131i 0.371572 0.334565i
\(5\) −1.48749 1.66954i −0.665227 0.746641i
\(6\) −0.635902 + 0.875244i −0.259606 + 0.357317i
\(7\) −0.0897121 + 2.64423i −0.0339080 + 0.999425i
\(8\) −0.453990 + 0.891007i −0.160510 + 0.315018i
\(9\) −0.744156 + 1.67140i −0.248052 + 0.557134i
\(10\) 1.98700 + 1.02558i 0.628346 + 0.324317i
\(11\) 3.16826 + 0.980879i 0.955267 + 0.295746i
\(12\) 0.280006 1.04500i 0.0808308 0.301665i
\(13\) 0.567508 3.58311i 0.157398 0.993775i −0.774900 0.632084i \(-0.782200\pi\)
0.932298 0.361691i \(-0.117800\pi\)
\(14\) −0.863854 2.50075i −0.230875 0.668354i
\(15\) −2.33337 0.638349i −0.602474 0.164821i
\(16\) 0.104528 0.994522i 0.0261321 0.248630i
\(17\) 3.15829 + 1.21235i 0.765997 + 0.294039i 0.709821 0.704382i \(-0.248776\pi\)
0.0561761 + 0.998421i \(0.482109\pi\)
\(18\) 0.0957526 1.82707i 0.0225691 0.430644i
\(19\) 2.20010 2.44346i 0.504738 0.560569i −0.435893 0.899998i \(-0.643567\pi\)
0.940631 + 0.339430i \(0.110234\pi\)
\(20\) −2.22256 0.245382i −0.496980 0.0548691i
\(21\) 1.47665 + 2.45204i 0.322230 + 0.535078i
\(22\) −3.30934 + 0.219674i −0.705554 + 0.0468346i
\(23\) −2.16180 + 8.06795i −0.450767 + 1.68228i 0.249478 + 0.968381i \(0.419741\pi\)
−0.700244 + 0.713903i \(0.746926\pi\)
\(24\) 0.113085 + 1.07593i 0.0230834 + 0.219624i
\(25\) −0.574726 + 4.96686i −0.114945 + 0.993372i
\(26\) 0.754256 + 3.54849i 0.147922 + 0.695917i
\(27\) 0.817359 + 5.16060i 0.157301 + 0.993159i
\(28\) 1.70267 + 2.02507i 0.321774 + 0.382703i
\(29\) −2.72355 0.884934i −0.505750 0.164328i 0.0450185 0.998986i \(-0.485665\pi\)
−0.550769 + 0.834658i \(0.685665\pi\)
\(30\) 2.40715 0.240256i 0.439484 0.0438646i
\(31\) 8.70218 0.914636i 1.56296 0.164274i 0.716828 0.697250i \(-0.245593\pi\)
0.846130 + 0.532976i \(0.178926\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 3.45260 0.976839i 0.601020 0.170046i
\(34\) −3.38298 −0.580177
\(35\) 4.54809 3.78350i 0.768768 0.639528i
\(36\) 0.565370 + 1.74003i 0.0942284 + 0.290005i
\(37\) 5.68859 8.75966i 0.935199 1.44008i 0.0375867 0.999293i \(-0.488033\pi\)
0.897612 0.440786i \(-0.145300\pi\)
\(38\) −1.17831 + 3.06961i −0.191148 + 0.497957i
\(39\) −1.59634 3.58543i −0.255619 0.574129i
\(40\) 2.16288 0.567411i 0.341981 0.0897156i
\(41\) 4.04375 1.31389i 0.631528 0.205196i 0.0242760 0.999705i \(-0.492272\pi\)
0.607252 + 0.794510i \(0.292272\pi\)
\(42\) −2.25730 1.75999i −0.348309 0.271573i
\(43\) 0.101811 + 0.101811i 0.0155261 + 0.0155261i 0.714827 0.699301i \(-0.246505\pi\)
−0.699301 + 0.714827i \(0.746505\pi\)
\(44\) 3.01081 1.39105i 0.453897 0.209708i
\(45\) 3.89740 1.24380i 0.580990 0.185415i
\(46\) −0.873080 8.30680i −0.128729 1.22477i
\(47\) −0.391558 + 0.0205207i −0.0571145 + 0.00299325i −0.0808718 0.996725i \(-0.525770\pi\)
0.0237573 + 0.999718i \(0.492437\pi\)
\(48\) −0.491155 0.963945i −0.0708921 0.139134i
\(49\) −6.98390 0.474439i −0.997700 0.0677769i
\(50\) −1.24341 4.84293i −0.175845 0.684893i
\(51\) 3.57994 0.760940i 0.501292 0.106553i
\(52\) −1.97583 3.04250i −0.273998 0.421919i
\(53\) 3.33368 4.11676i 0.457917 0.565480i −0.494930 0.868933i \(-0.664806\pi\)
0.952846 + 0.303453i \(0.0981395\pi\)
\(54\) −2.61247 4.52492i −0.355512 0.615764i
\(55\) −3.07515 6.74859i −0.414653 0.909979i
\(56\) −2.31530 1.28039i −0.309395 0.171099i
\(57\) 0.556463 3.51337i 0.0737053 0.465357i
\(58\) 2.85978 0.149875i 0.375508 0.0196795i
\(59\) 7.54793 + 8.38283i 0.982657 + 1.09135i 0.995811 + 0.0914375i \(0.0291462\pi\)
−0.0131540 + 0.999913i \(0.504187\pi\)
\(60\) −2.16117 + 1.08695i −0.279006 + 0.140324i
\(61\) 13.4688 + 1.41562i 1.72450 + 0.181252i 0.914336 0.404956i \(-0.132713\pi\)
0.810161 + 0.586208i \(0.199380\pi\)
\(62\) −7.79641 + 3.97247i −0.990145 + 0.504504i
\(63\) −4.35281 2.11766i −0.548402 0.266801i
\(64\) −0.587785 0.809017i −0.0734732 0.101127i
\(65\) −6.82630 + 4.38237i −0.846699 + 0.543566i
\(66\) −2.87321 + 2.14926i −0.353668 + 0.264555i
\(67\) 3.26997 + 12.2037i 0.399490 + 1.49092i 0.813996 + 0.580870i \(0.197288\pi\)
−0.414506 + 0.910047i \(0.636046\pi\)
\(68\) 3.15829 1.21235i 0.382999 0.147019i
\(69\) 2.79237 + 8.59404i 0.336162 + 1.03460i
\(70\) −2.89013 + 5.16209i −0.345436 + 0.616988i
\(71\) −1.56525 1.13722i −0.185761 0.134963i 0.491018 0.871149i \(-0.336625\pi\)
−0.676779 + 0.736186i \(0.736625\pi\)
\(72\) −1.15139 1.42185i −0.135693 0.167566i
\(73\) −8.60268 0.450847i −1.00687 0.0527677i −0.458235 0.888831i \(-0.651518\pi\)
−0.548633 + 0.836064i \(0.684851\pi\)
\(74\) −2.17158 + 10.2165i −0.252441 + 1.18764i
\(75\) 2.40513 + 4.84520i 0.277720 + 0.559475i
\(76\) 3.28800i 0.377160i
\(77\) −2.87790 + 8.28961i −0.327967 + 0.944689i
\(78\) 2.77521 + 2.77521i 0.314231 + 0.314231i
\(79\) 6.72159 15.0969i 0.756238 1.69854i 0.0415082 0.999138i \(-0.486784\pi\)
0.714730 0.699401i \(-0.246550\pi\)
\(80\) −1.81588 + 1.30483i −0.203021 + 0.145884i
\(81\) 0.109684 + 0.121816i 0.0121871 + 0.0135351i
\(82\) −3.30431 + 2.67578i −0.364900 + 0.295490i
\(83\) −2.68493 + 0.425252i −0.294710 + 0.0466774i −0.302039 0.953296i \(-0.597667\pi\)
0.00732885 + 0.999973i \(0.497667\pi\)
\(84\) 2.73809 + 0.834150i 0.298751 + 0.0910132i
\(85\) −2.67386 7.07625i −0.290021 0.767527i
\(86\) −0.131535 0.0585632i −0.0141838 0.00631503i
\(87\) −2.99257 + 0.801856i −0.320837 + 0.0859680i
\(88\) −2.31233 + 2.37763i −0.246495 + 0.253456i
\(89\) −1.64065 2.84169i −0.173909 0.301219i 0.765874 0.642990i \(-0.222306\pi\)
−0.939783 + 0.341771i \(0.888973\pi\)
\(90\) −3.19280 + 2.55789i −0.336550 + 0.269625i
\(91\) 9.42364 + 1.82207i 0.987866 + 0.191005i
\(92\) 3.79198 + 7.44218i 0.395341 + 0.775901i
\(93\) 7.35678 5.95741i 0.762863 0.617754i
\(94\) 0.358197 0.159479i 0.0369452 0.0164490i
\(95\) −7.35210 0.0385253i −0.754309 0.00395261i
\(96\) 0.803979 + 0.723906i 0.0820558 + 0.0738834i
\(97\) −3.14577 0.498242i −0.319405 0.0505888i −0.00532648 0.999986i \(-0.501695\pi\)
−0.314078 + 0.949397i \(0.601695\pi\)
\(98\) 6.69006 2.05988i 0.675798 0.208079i
\(99\) −3.99712 + 4.56551i −0.401726 + 0.458851i
\(100\) 2.89637 + 4.07566i 0.289637 + 0.407566i
\(101\) 4.06551 0.427302i 0.404533 0.0425182i 0.0999228 0.994995i \(-0.468140\pi\)
0.304610 + 0.952477i \(0.401474\pi\)
\(102\) −3.06947 + 1.99333i −0.303922 + 0.197369i
\(103\) −8.07659 + 12.4369i −0.795810 + 1.22544i 0.174758 + 0.984611i \(0.444086\pi\)
−0.970568 + 0.240828i \(0.922581\pi\)
\(104\) 2.93493 + 2.13235i 0.287793 + 0.209094i
\(105\) 1.89727 6.11271i 0.185155 0.596539i
\(106\) −1.63695 + 5.03801i −0.158995 + 0.489335i
\(107\) −0.0978648 1.86737i −0.00946095 0.180526i −0.999272 0.0381411i \(-0.987856\pi\)
0.989811 0.142385i \(-0.0454770\pi\)
\(108\) 4.06053 + 3.28816i 0.390725 + 0.316403i
\(109\) −7.23753 4.17859i −0.693230 0.400237i 0.111591 0.993754i \(-0.464405\pi\)
−0.804821 + 0.593518i \(0.797739\pi\)
\(110\) 5.28938 + 5.19831i 0.504322 + 0.495640i
\(111\) 11.2997i 1.07252i
\(112\) 2.62037 + 0.365618i 0.247601 + 0.0345476i
\(113\) −6.30452 + 12.3733i −0.593079 + 1.16398i 0.378129 + 0.925753i \(0.376567\pi\)
−0.971209 + 0.238231i \(0.923433\pi\)
\(114\) 0.739576 + 3.47943i 0.0692676 + 0.325878i
\(115\) 16.6854 8.39181i 1.55592 0.782540i
\(116\) −2.61613 + 1.16477i −0.242901 + 0.108147i
\(117\) 5.56649 + 3.61492i 0.514623 + 0.334200i
\(118\) −10.0507 5.12111i −0.925245 0.471436i
\(119\) −3.48908 + 8.24247i −0.319843 + 0.755586i
\(120\) 1.62810 1.78925i 0.148625 0.163335i
\(121\) 9.07575 + 6.21536i 0.825068 + 0.565033i
\(122\) −13.0815 + 3.50517i −1.18434 + 0.317343i
\(123\) 2.89482 3.57480i 0.261017 0.322329i
\(124\) 5.85497 6.50261i 0.525792 0.583951i
\(125\) 9.14727 6.42864i 0.818157 0.574995i
\(126\) 4.82260 + 0.417102i 0.429631 + 0.0371584i
\(127\) 3.48472 0.551925i 0.309219 0.0489754i 0.000103403 1.00000i \(-0.499967\pi\)
0.309115 + 0.951025i \(0.399967\pi\)
\(128\) 0.838671 + 0.544639i 0.0741287 + 0.0481397i
\(129\) 0.152366 + 0.0323863i 0.0134151 + 0.00285146i
\(130\) 4.80240 6.53762i 0.421199 0.573388i
\(131\) −17.7457 + 10.2455i −1.55045 + 0.895152i −0.552344 + 0.833616i \(0.686267\pi\)
−0.998105 + 0.0615359i \(0.980400\pi\)
\(132\) 1.91215 3.03617i 0.166431 0.264265i
\(133\) 6.26370 + 6.03679i 0.543132 + 0.523456i
\(134\) −7.42618 10.2213i −0.641525 0.882983i
\(135\) 7.40002 9.04098i 0.636892 0.778124i
\(136\) −2.51405 + 2.26366i −0.215578 + 0.194107i
\(137\) −5.63955 + 14.6915i −0.481819 + 1.25518i 0.450250 + 0.892903i \(0.351335\pi\)
−0.932069 + 0.362280i \(0.881998\pi\)
\(138\) −5.68673 7.02253i −0.484087 0.597797i
\(139\) 2.68660 8.26850i 0.227874 0.701325i −0.770113 0.637908i \(-0.779800\pi\)
0.997987 0.0634173i \(-0.0201999\pi\)
\(140\) 0.848238 5.85495i 0.0716892 0.494834i
\(141\) −0.343179 + 0.249334i −0.0289009 + 0.0209977i
\(142\) 1.86883 + 0.500751i 0.156829 + 0.0420221i
\(143\) 5.31261 10.7956i 0.444263 0.902770i
\(144\) 1.58446 + 0.914788i 0.132038 + 0.0762324i
\(145\) 2.57383 + 5.86341i 0.213745 + 0.486929i
\(146\) 8.19286 2.66202i 0.678046 0.220310i
\(147\) −6.61622 + 3.68461i −0.545697 + 0.303902i
\(148\) −1.63391 10.3161i −0.134307 0.847979i
\(149\) −12.8361 1.34912i −1.05157 0.110525i −0.437060 0.899433i \(-0.643980\pi\)
−0.614511 + 0.788908i \(0.710647\pi\)
\(150\) −3.98174 3.66146i −0.325108 0.298957i
\(151\) −3.73583 0.794075i −0.304017 0.0646209i 0.0533770 0.998574i \(-0.483001\pi\)
−0.357394 + 0.933954i \(0.616335\pi\)
\(152\) 1.17831 + 3.06961i 0.0955739 + 0.248979i
\(153\) −4.37659 + 4.37659i −0.353826 + 0.353826i
\(154\) −0.283980 8.77037i −0.0228838 0.706736i
\(155\) −14.4715 13.1681i −1.16238 1.05769i
\(156\) −3.58543 1.59634i −0.287064 0.127809i
\(157\) −9.24389 14.2343i −0.737743 1.13602i −0.985905 0.167306i \(-0.946493\pi\)
0.248162 0.968718i \(-0.420173\pi\)
\(158\) −0.864886 + 16.5030i −0.0688067 + 1.31291i
\(159\) 0.599044 5.69952i 0.0475073 0.452002i
\(160\) 1.22766 1.86892i 0.0970550 0.147751i
\(161\) −21.1396 6.44009i −1.66603 0.507550i
\(162\) −0.146054 0.0744181i −0.0114751 0.00584684i
\(163\) −0.871162 2.26945i −0.0682347 0.177757i 0.895223 0.445619i \(-0.147016\pi\)
−0.963457 + 0.267862i \(0.913683\pi\)
\(164\) 2.12593 3.68221i 0.166007 0.287532i
\(165\) −6.76659 4.31121i −0.526778 0.335627i
\(166\) 2.35420 1.35920i 0.182722 0.105494i
\(167\) −14.3622 2.27475i −1.11138 0.176026i −0.426365 0.904551i \(-0.640206\pi\)
−0.685019 + 0.728526i \(0.740206\pi\)
\(168\) −2.85516 + 0.202499i −0.220281 + 0.0156231i
\(169\) −0.152852 0.0496645i −0.0117578 0.00382035i
\(170\) 5.03217 + 5.64802i 0.385950 + 0.433184i
\(171\) 2.44679 + 5.49557i 0.187110 + 0.420257i
\(172\) 0.143786 + 0.00753549i 0.0109636 + 0.000574576i
\(173\) 0.466056 + 8.89287i 0.0354335 + 0.676112i 0.957386 + 0.288810i \(0.0932597\pi\)
−0.921953 + 0.387302i \(0.873407\pi\)
\(174\) 2.50644 1.82104i 0.190013 0.138052i
\(175\) −13.0820 1.96529i −0.988903 0.148562i
\(176\) 1.30668 3.04837i 0.0984946 0.229780i
\(177\) 11.7878 + 3.15853i 0.886024 + 0.237409i
\(178\) 2.55005 + 2.06499i 0.191135 + 0.154778i
\(179\) 4.12056 19.3857i 0.307985 1.44895i −0.503203 0.864168i \(-0.667845\pi\)
0.811188 0.584786i \(-0.198822\pi\)
\(180\) 2.06407 3.53219i 0.153846 0.263274i
\(181\) −5.91322 + 8.13885i −0.439526 + 0.604956i −0.970107 0.242678i \(-0.921974\pi\)
0.530580 + 0.847635i \(0.321974\pi\)
\(182\) −9.45070 + 1.67608i −0.700533 + 0.124240i
\(183\) 13.0547 6.65168i 0.965028 0.491706i
\(184\) −6.20716 5.58895i −0.457598 0.412023i
\(185\) −23.0863 + 3.53261i −1.69734 + 0.259723i
\(186\) −4.73321 + 8.19815i −0.347056 + 0.601118i
\(187\) 8.81711 + 6.93895i 0.644771 + 0.507426i
\(188\) −0.277253 + 0.277253i −0.0202208 + 0.0202208i
\(189\) −13.7191 + 1.69832i −0.997921 + 0.123534i
\(190\) 6.87758 2.59879i 0.498952 0.188536i
\(191\) 12.8449 2.73027i 0.929427 0.197556i 0.281765 0.959484i \(-0.409080\pi\)
0.647662 + 0.761928i \(0.275747\pi\)
\(192\) −1.01000 0.387704i −0.0728908 0.0279802i
\(193\) 5.90484 + 2.26665i 0.425040 + 0.163157i 0.561479 0.827491i \(-0.310233\pi\)
−0.136439 + 0.990648i \(0.543566\pi\)
\(194\) 3.11539 0.662196i 0.223672 0.0475429i
\(195\) −3.61148 + 7.99845i −0.258623 + 0.572781i
\(196\) −5.50751 + 4.32057i −0.393394 + 0.308612i
\(197\) −18.1395 + 18.1395i −1.29238 + 1.29238i −0.359074 + 0.933309i \(0.616907\pi\)
−0.933309 + 0.359074i \(0.883093\pi\)
\(198\) 2.09550 5.69471i 0.148921 0.404705i
\(199\) 0.346442 0.600056i 0.0245587 0.0425368i −0.853485 0.521118i \(-0.825515\pi\)
0.878044 + 0.478581i \(0.158849\pi\)
\(200\) −4.16458 2.76699i −0.294481 0.195656i
\(201\) 10.1576 + 9.14596i 0.716463 + 0.645107i
\(202\) −3.64235 + 1.85587i −0.256275 + 0.130578i
\(203\) 2.58431 7.12230i 0.181383 0.499887i
\(204\) 2.15125 2.96094i 0.150617 0.207307i
\(205\) −8.20865 4.79679i −0.573317 0.335023i
\(206\) 3.08317 14.5052i 0.214815 1.01062i
\(207\) −11.8761 9.61705i −0.825444 0.668431i
\(208\) −3.50416 0.938936i −0.242970 0.0651035i
\(209\) 9.36724 5.58349i 0.647946 0.386218i
\(210\) 0.419342 + 6.38662i 0.0289373 + 0.440719i
\(211\) −0.214967 + 0.156183i −0.0147989 + 0.0107520i −0.595160 0.803607i \(-0.702911\pi\)
0.580361 + 0.814359i \(0.302911\pi\)
\(212\) −0.277238 5.29002i −0.0190408 0.363320i
\(213\) −2.09027 0.109546i −0.143223 0.00750598i
\(214\) 0.760571 + 1.70827i 0.0519916 + 0.116775i
\(215\) 0.0185344 0.321422i 0.00126403 0.0219208i
\(216\) −4.96920 1.61459i −0.338112 0.109859i
\(217\) 1.63782 + 23.0926i 0.111182 + 1.56763i
\(218\) 8.25429 + 1.30735i 0.559051 + 0.0885450i
\(219\) −8.07107 + 4.65984i −0.545393 + 0.314883i
\(220\) −6.80097 2.95750i −0.458521 0.199395i
\(221\) 6.13634 10.6285i 0.412775 0.714947i
\(222\) 4.04946 + 10.5492i 0.271782 + 0.708015i
\(223\) 3.13948 + 1.59965i 0.210235 + 0.107120i 0.555938 0.831224i \(-0.312359\pi\)
−0.345702 + 0.938344i \(0.612359\pi\)
\(224\) −2.57735 + 0.597722i −0.172206 + 0.0399370i
\(225\) −7.87393 4.65671i −0.524929 0.310448i
\(226\) 1.45158 13.8108i 0.0965574 0.918682i
\(227\) 1.36706 26.0851i 0.0907349 1.73133i −0.452517 0.891756i \(-0.649474\pi\)
0.543252 0.839570i \(-0.317193\pi\)
\(228\) −1.93737 2.98329i −0.128305 0.197573i
\(229\) 2.16039 + 0.961869i 0.142763 + 0.0635621i 0.476875 0.878971i \(-0.341770\pi\)
−0.334112 + 0.942533i \(0.608436\pi\)
\(230\) −12.5698 + 13.8140i −0.828830 + 0.910865i
\(231\) 2.27325 + 9.21710i 0.149569 + 0.606441i
\(232\) 2.02495 2.02495i 0.132944 0.132944i
\(233\) −0.0715248 0.186329i −0.00468575 0.0122068i 0.931218 0.364464i \(-0.118748\pi\)
−0.935903 + 0.352257i \(0.885414\pi\)
\(234\) −6.49224 1.37997i −0.424411 0.0902114i
\(235\) 0.616699 + 0.623197i 0.0402290 + 0.0406529i
\(236\) 11.2184 + 1.17910i 0.730256 + 0.0767530i
\(237\) −2.79681 17.6584i −0.181672 1.14703i
\(238\) 0.303494 8.94539i 0.0196726 0.579843i
\(239\) 17.2557 5.60673i 1.11618 0.362669i 0.307872 0.951428i \(-0.400383\pi\)
0.808309 + 0.588759i \(0.200383\pi\)
\(240\) −0.878756 + 2.25386i −0.0567234 + 0.145486i
\(241\) 10.8999 + 6.29303i 0.702121 + 0.405370i 0.808137 0.588995i \(-0.200476\pi\)
−0.106016 + 0.994364i \(0.533809\pi\)
\(242\) −10.7003 2.55008i −0.687843 0.163925i
\(243\) −14.9694 4.01104i −0.960287 0.257308i
\(244\) 10.9565 7.96034i 0.701416 0.509609i
\(245\) 9.59642 + 12.3656i 0.613093 + 0.790011i
\(246\) −1.42145 + 4.37478i −0.0906284 + 0.278926i
\(247\) −7.50661 9.26989i −0.477634 0.589829i
\(248\) −3.13576 + 8.16894i −0.199121 + 0.518728i
\(249\) −2.18554 + 1.96787i −0.138503 + 0.124709i
\(250\) −6.23589 + 9.27974i −0.394392 + 0.586903i
\(251\) −17.9182 24.6623i −1.13099 1.55667i −0.786180 0.617998i \(-0.787944\pi\)
−0.344808 0.938673i \(-0.612056\pi\)
\(252\) −4.65176 + 1.33887i −0.293033 + 0.0843407i
\(253\) −14.7628 + 23.4409i −0.928131 + 1.47372i
\(254\) −3.05547 + 1.76408i −0.191717 + 0.110688i
\(255\) −6.59556 4.84496i −0.413030 0.303403i
\(256\) −0.978148 0.207912i −0.0611342 0.0129945i
\(257\) −11.0247 7.15954i −0.687704 0.446600i 0.152906 0.988241i \(-0.451137\pi\)
−0.840610 + 0.541641i \(0.817803\pi\)
\(258\) −0.153852 + 0.0243677i −0.00957840 + 0.00151707i
\(259\) 22.6522 + 15.8278i 1.40754 + 0.983491i
\(260\) −2.14055 + 7.82442i −0.132752 + 0.485250i
\(261\) 3.50582 3.89361i 0.217005 0.241009i
\(262\) 12.8954 15.9245i 0.796680 0.983817i
\(263\) −17.3730 + 4.65509i −1.07127 + 0.287045i −0.751014 0.660287i \(-0.770435\pi\)
−0.320254 + 0.947332i \(0.603768\pi\)
\(264\) −0.697078 + 3.51976i −0.0429022 + 0.216627i
\(265\) −11.8319 + 0.557932i −0.726829 + 0.0342735i
\(266\) −8.01106 3.39112i −0.491189 0.207923i
\(267\) −3.16300 1.61163i −0.193572 0.0986301i
\(268\) 10.5959 + 6.88107i 0.647249 + 0.420328i
\(269\) 4.13980 1.84316i 0.252408 0.112379i −0.276633 0.960976i \(-0.589218\pi\)
0.529041 + 0.848596i \(0.322552\pi\)
\(270\) −3.66851 + 11.0924i −0.223259 + 0.675063i
\(271\) −0.901846 4.24285i −0.0547832 0.257735i 0.942230 0.334967i \(-0.108725\pi\)
−0.997013 + 0.0772320i \(0.975392\pi\)
\(272\) 1.53584 3.01426i 0.0931241 0.182766i
\(273\) 9.62392 3.89943i 0.582466 0.236004i
\(274\) 15.7368i 0.950693i
\(275\) −6.69277 + 15.1726i −0.403589 + 0.914940i
\(276\) 7.82567 + 4.51815i 0.471050 + 0.271961i
\(277\) −1.06534 0.862699i −0.0640103 0.0518345i 0.596781 0.802404i \(-0.296446\pi\)
−0.660792 + 0.750569i \(0.729779\pi\)
\(278\) 0.455010 + 8.68210i 0.0272897 + 0.520718i
\(279\) −4.94706 + 15.2255i −0.296173 + 0.911525i
\(280\) 1.30633 + 5.77005i 0.0780681 + 0.344827i
\(281\) −4.08398 2.96719i −0.243630 0.177007i 0.459269 0.888297i \(-0.348111\pi\)
−0.702899 + 0.711290i \(0.748111\pi\)
\(282\) 0.231032 0.355758i 0.0137577 0.0211851i
\(283\) 11.3430 7.36621i 0.674270 0.437876i −0.161561 0.986863i \(-0.551653\pi\)
0.835831 + 0.548987i \(0.184986\pi\)
\(284\) −1.92415 + 0.202237i −0.114178 + 0.0120005i
\(285\) −6.69344 + 4.29707i −0.396485 + 0.254537i
\(286\) −1.09096 + 11.9824i −0.0645101 + 0.708534i
\(287\) 3.11146 + 10.8105i 0.183664 + 0.638122i
\(288\) −1.80705 0.286209i −0.106482 0.0168650i
\(289\) −4.12849 3.71730i −0.242852 0.218665i
\(290\) −4.50413 4.55158i −0.264492 0.267278i
\(291\) −3.14781 + 1.40150i −0.184528 + 0.0821572i
\(292\) −6.69471 + 5.42127i −0.391778 + 0.317256i
\(293\) −4.60724 9.04221i −0.269158 0.528252i 0.716380 0.697711i \(-0.245798\pi\)
−0.985537 + 0.169459i \(0.945798\pi\)
\(294\) 4.85633 5.81092i 0.283227 0.338900i
\(295\) 2.76796 25.0710i 0.161157 1.45969i
\(296\) 5.22235 + 9.04538i 0.303543 + 0.525752i
\(297\) −2.47232 + 17.1519i −0.143459 + 0.995252i
\(298\) 12.4670 3.34052i 0.722193 0.193511i
\(299\) 27.6815 + 12.3246i 1.60086 + 0.712749i
\(300\) 5.02943 + 1.99134i 0.290374 + 0.114970i
\(301\) −0.278346 + 0.260079i −0.0160436 + 0.0149907i
\(302\) 3.77227 0.597469i 0.217070 0.0343805i
\(303\) 3.43696 2.78320i 0.197448 0.159890i
\(304\) −2.20010 2.44346i −0.126185 0.140142i
\(305\) −17.6712 24.5923i −1.01185 1.40815i
\(306\) 2.51747 5.65432i 0.143914 0.323236i
\(307\) 18.4739 + 18.4739i 1.05436 + 1.05436i 0.998435 + 0.0559289i \(0.0178120\pi\)
0.0559289 + 0.998435i \(0.482188\pi\)
\(308\) 3.40814 + 8.08607i 0.194197 + 0.460747i
\(309\) 16.0432i 0.912665i
\(310\) 18.2293 + 7.10740i 1.03536 + 0.403673i
\(311\) −2.35941 + 11.1001i −0.133790 + 0.629431i 0.859241 + 0.511572i \(0.170936\pi\)
−0.993030 + 0.117859i \(0.962397\pi\)
\(312\) 3.91936 + 0.205405i 0.221890 + 0.0116288i
\(313\) 1.38727 + 1.71314i 0.0784133 + 0.0968323i 0.814843 0.579682i \(-0.196823\pi\)
−0.736430 + 0.676514i \(0.763490\pi\)
\(314\) 13.7310 + 9.97619i 0.774888 + 0.562989i
\(315\) 2.93925 + 10.4172i 0.165608 + 0.586943i
\(316\) −5.10671 15.7168i −0.287275 0.884141i
\(317\) 12.7829 4.90691i 0.717961 0.275599i 0.0281652 0.999603i \(-0.491034\pi\)
0.689796 + 0.724004i \(0.257700\pi\)
\(318\) 1.48327 + 5.53564i 0.0831777 + 0.310423i
\(319\) −7.76090 5.47517i −0.434527 0.306551i
\(320\) −0.476359 + 2.18474i −0.0266293 + 0.122131i
\(321\) −1.18909 1.63665i −0.0663688 0.0913488i
\(322\) 22.0434 1.56340i 1.22843 0.0871251i
\(323\) 9.91089 5.04985i 0.551457 0.280981i
\(324\) 0.163022 + 0.0171343i 0.00905677 + 0.000951905i
\(325\) 17.4706 + 4.87804i 0.969096 + 0.270585i
\(326\) 1.62660 + 1.80652i 0.0900890 + 0.100054i
\(327\) −9.02892 + 0.473186i −0.499301 + 0.0261672i
\(328\) −0.665136 + 4.19950i −0.0367260 + 0.231879i
\(329\) −0.0191339 1.03721i −0.00105489 0.0571832i
\(330\) 7.86216 + 1.59993i 0.432797 + 0.0880734i
\(331\) 2.50679 + 4.34189i 0.137786 + 0.238652i 0.926658 0.375905i \(-0.122668\pi\)
−0.788872 + 0.614557i \(0.789335\pi\)
\(332\) −1.71075 + 2.11259i −0.0938893 + 0.115944i
\(333\) 10.4077 + 16.0265i 0.570339 + 0.878245i
\(334\) 14.2235 3.02330i 0.778275 0.165428i
\(335\) 15.5105 23.6122i 0.847428 1.29007i
\(336\) 2.59296 1.21225i 0.141457 0.0661336i
\(337\) −11.0749 21.7357i −0.603289 1.18402i −0.967539 0.252720i \(-0.918675\pi\)
0.364251 0.931301i \(-0.381325\pi\)
\(338\) 0.160498 0.00841132i 0.00872991 0.000457515i
\(339\) 1.57040 + 14.9414i 0.0852926 + 0.811505i
\(340\) −6.72200 3.46952i −0.364552 0.188161i
\(341\) 28.4679 + 5.63798i 1.54163 + 0.305314i
\(342\) −4.25371 4.25371i −0.230014 0.230014i
\(343\) 1.88107 18.4245i 0.101568 0.994829i
\(344\) −0.136936 + 0.0444932i −0.00738310 + 0.00239891i
\(345\) 10.1945 17.4456i 0.548851 0.939237i
\(346\) −3.62202 8.13519i −0.194721 0.437351i
\(347\) 4.95034 12.8961i 0.265748 0.692298i −0.734163 0.678973i \(-0.762425\pi\)
0.999911 0.0133248i \(-0.00424154\pi\)
\(348\) −1.68736 + 2.59831i −0.0904522 + 0.139284i
\(349\) −6.28937 19.3567i −0.336662 1.03614i −0.965897 0.258925i \(-0.916632\pi\)
0.629235 0.777215i \(-0.283368\pi\)
\(350\) 12.9174 2.85339i 0.690462 0.152520i
\(351\) 18.9548 1.01174
\(352\) −0.127450 + 3.31418i −0.00679311 + 0.176646i
\(353\) 2.30649 + 8.60794i 0.122762 + 0.458154i 0.999750 0.0223580i \(-0.00711736\pi\)
−0.876988 + 0.480512i \(0.840451\pi\)
\(354\) −12.1368 + 1.27563i −0.645062 + 0.0677987i
\(355\) 0.429664 + 4.30485i 0.0228042 + 0.228478i
\(356\) −3.12071 1.01398i −0.165397 0.0537408i
\(357\) 1.69094 + 9.53445i 0.0894938 + 0.504617i
\(358\) 3.10034 + 19.5748i 0.163858 + 1.03456i
\(359\) 3.52212 + 16.5703i 0.185890 + 0.874545i 0.967911 + 0.251293i \(0.0808557\pi\)
−0.782021 + 0.623252i \(0.785811\pi\)
\(360\) −0.661147 + 4.03728i −0.0348455 + 0.212783i
\(361\) 0.855988 + 8.14418i 0.0450520 + 0.428641i
\(362\) 2.60377 9.71738i 0.136851 0.510734i
\(363\) 11.8969 + 0.291703i 0.624425 + 0.0153104i
\(364\) 8.22234 4.95159i 0.430968 0.259534i
\(365\) 12.0437 + 15.0331i 0.630397 + 0.786871i
\(366\) −9.80382 + 10.8882i −0.512454 + 0.569138i
\(367\) 0.256098 4.88664i 0.0133682 0.255080i −0.983768 0.179448i \(-0.942569\pi\)
0.997136 0.0756329i \(-0.0240977\pi\)
\(368\) 7.79778 + 2.99329i 0.406488 + 0.156036i
\(369\) −0.813136 + 7.73647i −0.0423302 + 0.402745i
\(370\) 20.2870 11.5714i 1.05467 0.601568i
\(371\) 10.5866 + 9.18435i 0.549628 + 0.476828i
\(372\) 1.48087 9.34987i 0.0767797 0.484768i
\(373\) 7.04289 26.2844i 0.364667 1.36096i −0.503205 0.864167i \(-0.667846\pi\)
0.867872 0.496788i \(-0.165487\pi\)
\(374\) −10.7182 3.31830i −0.554224 0.171585i
\(375\) 4.51164 11.2227i 0.232980 0.579536i
\(376\) 0.159479 0.358197i 0.00822452 0.0184726i
\(377\) −4.71645 + 9.25655i −0.242910 + 0.476737i
\(378\) 12.1993 6.50202i 0.627465 0.334428i
\(379\) −19.7976 + 27.2491i −1.01694 + 1.39969i −0.102606 + 0.994722i \(0.532718\pi\)
−0.914330 + 0.404970i \(0.867282\pi\)
\(380\) −5.48945 + 4.89088i −0.281603 + 0.250897i
\(381\) 2.83656 2.55405i 0.145322 0.130848i
\(382\) −11.0133 + 7.15214i −0.563491 + 0.365935i
\(383\) 17.5375 6.73203i 0.896126 0.343991i 0.133666 0.991026i \(-0.457325\pi\)
0.762460 + 0.647036i \(0.223992\pi\)
\(384\) 1.08186 0.0552085
\(385\) 18.1207 7.52598i 0.923516 0.383559i
\(386\) −6.32494 −0.321931
\(387\) −0.245931 + 0.0944042i −0.0125014 + 0.00479883i
\(388\) −2.67115 + 1.73467i −0.135607 + 0.0880644i
\(389\) −17.8940 + 16.1118i −0.907262 + 0.816902i −0.983634 0.180177i \(-0.942333\pi\)
0.0763726 + 0.997079i \(0.475666\pi\)
\(390\) 0.505217 8.76144i 0.0255826 0.443653i
\(391\) −16.6088 + 22.8600i −0.839943 + 1.15608i
\(392\) 3.59335 6.00731i 0.181492 0.303415i
\(393\) −10.0642 + 19.7522i −0.507673 + 0.996365i
\(394\) 10.4340 23.4352i 0.525659 1.18065i
\(395\) −35.2033 + 11.2346i −1.77127 + 0.565276i
\(396\) 0.0844809 + 6.06743i 0.00424532 + 0.304900i
\(397\) 2.56491 9.57237i 0.128729 0.480423i −0.871216 0.490900i \(-0.836668\pi\)
0.999945 + 0.0104763i \(0.00333478\pi\)
\(398\) −0.108391 + 0.684354i −0.00543315 + 0.0343036i
\(399\) 9.24023 + 1.78661i 0.462590 + 0.0894422i
\(400\) 4.87958 + 1.09076i 0.243979 + 0.0545378i
\(401\) −0.486936 + 4.63289i −0.0243164 + 0.231355i 0.975613 + 0.219497i \(0.0704415\pi\)
−0.999930 + 0.0118587i \(0.996225\pi\)
\(402\) −12.7606 4.89833i −0.636440 0.244306i
\(403\) 1.66132 31.6999i 0.0827564 1.57909i
\(404\) 2.73534 3.03790i 0.136088 0.151141i
\(405\) 0.0402230 0.364322i 0.00199870 0.0181033i
\(406\) 0.139747 + 7.57537i 0.00693551 + 0.375959i
\(407\) 26.6151 22.1731i 1.31926 1.09908i
\(408\) −0.947256 + 3.53521i −0.0468962 + 0.175019i
\(409\) 1.70163 + 16.1899i 0.0841401 + 0.800540i 0.952486 + 0.304581i \(0.0985165\pi\)
−0.868346 + 0.495958i \(0.834817\pi\)
\(410\) 9.38245 + 1.53647i 0.463366 + 0.0758811i
\(411\) 3.53970 + 16.6530i 0.174600 + 0.821430i
\(412\) 2.31981 + 14.6467i 0.114289 + 0.721590i
\(413\) −22.8433 + 19.2064i −1.12404 + 0.945086i
\(414\) 14.5337 + 4.72229i 0.714293 + 0.232088i
\(415\) 4.70380 + 3.85004i 0.230900 + 0.188991i
\(416\) 3.60790 0.379205i 0.176892 0.0185921i
\(417\) −2.43438 9.08522i −0.119212 0.444905i
\(418\) −6.74413 + 8.56956i −0.329866 + 0.419151i
\(419\) −2.49226 −0.121755 −0.0608774 0.998145i \(-0.519390\pi\)
−0.0608774 + 0.998145i \(0.519390\pi\)
\(420\) −2.68025 5.81215i −0.130783 0.283604i
\(421\) −2.20475 6.78552i −0.107453 0.330706i 0.882845 0.469664i \(-0.155625\pi\)
−0.990298 + 0.138958i \(0.955625\pi\)
\(422\) 0.144718 0.222846i 0.00704476 0.0108480i
\(423\) 0.257082 0.669720i 0.0124997 0.0325629i
\(424\) 2.15460 + 4.83930i 0.104636 + 0.235017i
\(425\) −7.83673 + 14.9900i −0.380137 + 0.727122i
\(426\) 1.99069 0.646814i 0.0964492 0.0313382i
\(427\) −4.95154 + 35.4875i −0.239622 + 1.71736i
\(428\) −1.32224 1.32224i −0.0639130 0.0639130i
\(429\) −1.54074 12.9254i −0.0743875 0.624044i
\(430\) 0.0978840 + 0.306715i 0.00472039 + 0.0147911i
\(431\) −2.79393 26.5825i −0.134579 1.28043i −0.828339 0.560227i \(-0.810714\pi\)
0.693760 0.720206i \(-0.255953\pi\)
\(432\) 5.21777 0.273452i 0.251040 0.0131565i
\(433\) 10.0296 + 19.6842i 0.481993 + 0.945964i 0.996099 + 0.0882379i \(0.0281236\pi\)
−0.514107 + 0.857726i \(0.671876\pi\)
\(434\) −9.80469 20.9719i −0.470640 1.00668i
\(435\) 5.79016 + 3.80345i 0.277617 + 0.182362i
\(436\) −8.17456 + 1.73756i −0.391490 + 0.0832139i
\(437\) 14.9575 + 23.0326i 0.715516 + 1.10180i
\(438\) 5.86506 7.24275i 0.280243 0.346072i
\(439\) −4.24883 7.35919i −0.202786 0.351235i 0.746639 0.665229i \(-0.231666\pi\)
−0.949425 + 0.313994i \(0.898333\pi\)
\(440\) 7.40913 + 0.323815i 0.353216 + 0.0154373i
\(441\) 5.99009 11.3198i 0.285242 0.539040i
\(442\) −1.91987 + 12.1216i −0.0913190 + 0.576565i
\(443\) −1.47534 + 0.0773192i −0.0700954 + 0.00367355i −0.0873514 0.996178i \(-0.527840\pi\)
0.0172560 + 0.999851i \(0.494507\pi\)
\(444\) −7.56099 8.39732i −0.358828 0.398519i
\(445\) −2.30386 + 6.96614i −0.109213 + 0.330227i
\(446\) −3.50422 0.368308i −0.165930 0.0174399i
\(447\) −12.4414 + 6.33922i −0.588459 + 0.299835i
\(448\) 2.19196 1.48166i 0.103560 0.0700019i
\(449\) 2.83285 + 3.89909i 0.133691 + 0.184009i 0.870614 0.491967i \(-0.163722\pi\)
−0.736923 + 0.675977i \(0.763722\pi\)
\(450\) 9.01976 + 1.52565i 0.425196 + 0.0719200i
\(451\) 14.1004 0.196330i 0.663963 0.00924480i
\(452\) 3.59419 + 13.4137i 0.169057 + 0.630928i
\(453\) −3.85750 + 1.48076i −0.181241 + 0.0695720i
\(454\) 8.07179 + 24.8424i 0.378828 + 1.16591i
\(455\) −10.9756 18.4435i −0.514544 0.864643i
\(456\) 2.87780 + 2.09085i 0.134766 + 0.0979129i
\(457\) −16.9797 20.9681i −0.794275 0.980847i −0.999997 0.00223714i \(-0.999288\pi\)
0.205723 0.978610i \(-0.434045\pi\)
\(458\) −2.36160 0.123766i −0.110350 0.00578322i
\(459\) −3.67502 + 17.2896i −0.171535 + 0.807009i
\(460\) 6.78447 17.4011i 0.316328 0.811329i
\(461\) 31.7437i 1.47845i 0.673457 + 0.739226i \(0.264809\pi\)
−0.673457 + 0.739226i \(0.735191\pi\)
\(462\) −5.42537 7.79025i −0.252411 0.362435i
\(463\) 12.4148 + 12.4148i 0.576966 + 0.576966i 0.934066 0.357100i \(-0.116235\pi\)
−0.357100 + 0.934066i \(0.616235\pi\)
\(464\) −1.16477 + 2.61613i −0.0540733 + 0.121451i
\(465\) −20.8893 3.42084i −0.968718 0.158638i
\(466\) 0.133548 + 0.148321i 0.00618651 + 0.00687081i
\(467\) 17.5305 14.1959i 0.811215 0.656909i −0.131200 0.991356i \(-0.541883\pi\)
0.942415 + 0.334447i \(0.108550\pi\)
\(468\) 6.55557 1.03830i 0.303031 0.0479954i
\(469\) −32.5627 + 7.55173i −1.50361 + 0.348706i
\(470\) −0.799072 0.360799i −0.0368585 0.0166424i
\(471\) −16.7744 7.46846i −0.772925 0.344128i
\(472\) −10.8958 + 2.91953i −0.501522 + 0.134382i
\(473\) 0.222700 + 0.422430i 0.0102398 + 0.0194233i
\(474\) 8.93923 + 15.4832i 0.410593 + 0.711167i
\(475\) 10.8719 + 12.3319i 0.498836 + 0.565827i
\(476\) 2.92240 + 8.46000i 0.133948 + 0.387763i
\(477\) 4.39997 + 8.63543i 0.201461 + 0.395389i
\(478\) −14.1003 + 11.4182i −0.644935 + 0.522258i
\(479\) 10.7948 4.80614i 0.493226 0.219598i −0.145023 0.989428i \(-0.546326\pi\)
0.638249 + 0.769830i \(0.279659\pi\)
\(480\) 0.0126761 2.41908i 0.000578582 0.110415i
\(481\) −28.1585 25.3540i −1.28392 1.15604i
\(482\) −12.4311 1.96889i −0.566221 0.0896807i
\(483\) −22.9751 + 6.61268i −1.04540 + 0.300888i
\(484\) 10.9035 1.45395i 0.495613 0.0660887i
\(485\) 3.84748 + 5.99312i 0.174705 + 0.272134i
\(486\) 15.4126 1.61993i 0.699128 0.0734813i
\(487\) 23.3466 15.1615i 1.05794 0.687032i 0.106324 0.994332i \(-0.466092\pi\)
0.951613 + 0.307300i \(0.0994254\pi\)
\(488\) −7.37601 + 11.3581i −0.333896 + 0.514155i
\(489\) −2.12764 1.54582i −0.0962153 0.0699045i
\(490\) −13.3905 8.10526i −0.604920 0.366158i
\(491\) 10.7737 33.1581i 0.486212 1.49641i −0.344007 0.938967i \(-0.611784\pi\)
0.830218 0.557438i \(-0.188216\pi\)
\(492\) −0.240741 4.59361i −0.0108534 0.207096i
\(493\) −7.52889 6.09678i −0.339084 0.274585i
\(494\) 10.3301 + 5.96406i 0.464771 + 0.268336i
\(495\) 13.5680 0.117811i 0.609836 0.00529520i
\(496\) 8.75012i 0.392892i
\(497\) 3.14749 4.03685i 0.141184 0.181078i
\(498\) 1.33516 2.62039i 0.0598297 0.117422i
\(499\) −2.46306 11.5878i −0.110262 0.518740i −0.998264 0.0589010i \(-0.981240\pi\)
0.888002 0.459839i \(-0.152093\pi\)
\(500\) 2.49614 10.8981i 0.111631 0.487379i
\(501\) −14.3716 + 6.39863i −0.642074 + 0.285870i
\(502\) 25.5663 + 16.6029i 1.14108 + 0.741025i
\(503\) 0.838543 + 0.427259i 0.0373888 + 0.0190505i 0.472585 0.881285i \(-0.343321\pi\)
−0.435196 + 0.900336i \(0.643321\pi\)
\(504\) 3.86299 2.91698i 0.172071 0.129933i
\(505\) −6.76082 6.15192i −0.300852 0.273757i
\(506\) 5.38182 27.1745i 0.239251 1.20805i
\(507\) −0.167950 + 0.0450020i −0.00745891 + 0.00199861i
\(508\) 2.22034 2.74189i 0.0985117 0.121652i
\(509\) −12.6327 + 14.0300i −0.559934 + 0.621870i −0.954937 0.296810i \(-0.904077\pi\)
0.395002 + 0.918680i \(0.370744\pi\)
\(510\) 7.89376 + 2.15952i 0.349542 + 0.0956253i
\(511\) 1.96391 22.7070i 0.0868782 1.00450i
\(512\) 0.987688 0.156434i 0.0436501 0.00691349i
\(513\) 14.4080 + 9.35667i 0.636129 + 0.413107i
\(514\) 12.8582 + 2.73310i 0.567152 + 0.120552i
\(515\) 32.7777 5.01556i 1.44436 0.221012i
\(516\) 0.134901 0.0778848i 0.00593866 0.00342869i
\(517\) −1.26068 0.319056i −0.0554449 0.0140321i
\(518\) −26.8198 6.65868i −1.17840 0.292566i
\(519\) 5.66275 + 7.79411i 0.248567 + 0.342124i
\(520\) −0.805644 8.07184i −0.0353298 0.353973i
\(521\) 6.74614 6.07425i 0.295554 0.266118i −0.507991 0.861363i \(-0.669612\pi\)
0.803544 + 0.595245i \(0.202945\pi\)
\(522\) −1.87762 + 4.89138i −0.0821813 + 0.214090i
\(523\) −13.6515 16.8582i −0.596939 0.737158i 0.385713 0.922619i \(-0.373956\pi\)
−0.982652 + 0.185461i \(0.940622\pi\)
\(524\) −6.33206 + 19.4881i −0.276617 + 0.851340i
\(525\) −13.0276 + 5.92504i −0.568570 + 0.258590i
\(526\) 14.5509 10.5718i 0.634449 0.460954i
\(527\) 28.5929 + 7.66143i 1.24552 + 0.333737i
\(528\) −0.610592 3.53579i −0.0265726 0.153876i
\(529\) −40.4998 23.3826i −1.76086 1.01663i
\(530\) 10.8461 4.76106i 0.471125 0.206807i
\(531\) −19.6279 + 6.37749i −0.851778 + 0.276760i
\(532\) 8.69423 + 0.294973i 0.376943 + 0.0127887i
\(533\) −2.41296 15.2348i −0.104517 0.659894i
\(534\) 3.53047 + 0.371067i 0.152778 + 0.0160577i
\(535\) −2.97208 + 2.94109i −0.128494 + 0.127155i
\(536\) −12.3581 2.62679i −0.533788 0.113460i
\(537\) −7.68383 20.0171i −0.331582 0.863800i
\(538\) −3.20431 + 3.20431i −0.138148 + 0.138148i
\(539\) −21.6615 8.35351i −0.933025 0.359811i
\(540\) −0.550312 11.6703i −0.0236817 0.502211i
\(541\) −25.0772 11.1651i −1.07815 0.480025i −0.210704 0.977550i \(-0.567576\pi\)
−0.867450 + 0.497525i \(0.834242\pi\)
\(542\) 2.36245 + 3.63785i 0.101476 + 0.156259i
\(543\) −0.569610 + 10.8688i −0.0244443 + 0.466425i
\(544\) −0.353618 + 3.36445i −0.0151612 + 0.144250i
\(545\) 3.78946 + 18.2990i 0.162323 + 0.783842i
\(546\) −7.58727 + 7.08933i −0.324705 + 0.303395i
\(547\) −12.3668 6.30122i −0.528768 0.269421i 0.169160 0.985589i \(-0.445895\pi\)
−0.697928 + 0.716168i \(0.745895\pi\)
\(548\) 5.63955 + 14.6915i 0.240910 + 0.627591i
\(549\) −12.3889 + 21.4582i −0.528746 + 0.915816i
\(550\) 0.810875 16.5633i 0.0345758 0.706261i
\(551\) −8.15439 + 4.70794i −0.347389 + 0.200565i
\(552\) −8.92505 1.41359i −0.379876 0.0601664i
\(553\) 39.3168 + 19.1278i 1.67192 + 0.813397i
\(554\) 1.30375 + 0.423613i 0.0553909 + 0.0179976i
\(555\) −18.8653 + 16.8083i −0.800788 + 0.713471i
\(556\) −3.53617 7.94238i −0.149967 0.336832i
\(557\) 27.3091 + 1.43121i 1.15712 + 0.0606423i 0.621219 0.783637i \(-0.286638\pi\)
0.535904 + 0.844279i \(0.319971\pi\)
\(558\) −0.837847 15.9871i −0.0354689 0.676787i
\(559\) 0.422580 0.307022i 0.0178732 0.0129857i
\(560\) −3.28737 4.91866i −0.138917 0.207851i
\(561\) 12.0886 + 1.10063i 0.510380 + 0.0464687i
\(562\) 4.87607 + 1.30654i 0.205685 + 0.0551130i
\(563\) 14.8938 + 12.0608i 0.627698 + 0.508300i 0.889568 0.456803i \(-0.151006\pi\)
−0.261870 + 0.965103i \(0.584339\pi\)
\(564\) −0.0881945 + 0.414923i −0.00371366 + 0.0174714i
\(565\) 30.0357 7.87958i 1.26361 0.331496i
\(566\) −7.94976 + 10.9419i −0.334153 + 0.459923i
\(567\) −0.331950 + 0.279101i −0.0139406 + 0.0117211i
\(568\) 1.72388 0.878360i 0.0723323 0.0368551i
\(569\) 5.57924 + 5.02357i 0.233894 + 0.210599i 0.777740 0.628586i \(-0.216366\pi\)
−0.543846 + 0.839185i \(0.683033\pi\)
\(570\) 4.70893 6.41038i 0.197235 0.268501i
\(571\) −12.3230 + 21.3440i −0.515700 + 0.893219i 0.484134 + 0.874994i \(0.339135\pi\)
−0.999834 + 0.0182250i \(0.994198\pi\)
\(572\) −3.27560 11.5775i −0.136960 0.484079i
\(573\) 10.0458 10.0458i 0.419669 0.419669i
\(574\) −6.77893 8.97740i −0.282947 0.374709i
\(575\) −38.8299 15.3742i −1.61932 0.641149i
\(576\) 1.78960 0.380390i 0.0745665 0.0158496i
\(577\) 8.50627 + 3.26525i 0.354121 + 0.135934i 0.528924 0.848669i \(-0.322596\pi\)
−0.174803 + 0.984603i \(0.555929\pi\)
\(578\) 5.18644 + 1.99089i 0.215727 + 0.0828099i
\(579\) 6.69317 1.42268i 0.278159 0.0591245i
\(580\) 5.83611 + 2.63513i 0.242331 + 0.109418i
\(581\) −0.883592 7.13773i −0.0366576 0.296123i
\(582\) 2.43649 2.43649i 0.100996 0.100996i
\(583\) 14.6000 9.77302i 0.604671 0.404757i
\(584\) 4.30724 7.46036i 0.178235 0.308712i
\(585\) −2.24487 14.6707i −0.0928138 0.606557i
\(586\) 7.54167 + 6.79055i 0.311543 + 0.280515i
\(587\) −18.8389 + 9.59888i −0.777563 + 0.396188i −0.797274 0.603617i \(-0.793725\pi\)
0.0197107 + 0.999806i \(0.493725\pi\)
\(588\) −2.45132 + 7.16532i −0.101091 + 0.295493i
\(589\) 16.9108 23.2758i 0.696798 0.959061i
\(590\) 6.40052 + 24.3977i 0.263505 + 1.00444i
\(591\) −5.77018 + 27.1466i −0.237354 + 1.11666i
\(592\) −8.11706 6.57306i −0.333609 0.270151i
\(593\) 12.6041 + 3.37727i 0.517590 + 0.138688i 0.508151 0.861268i \(-0.330329\pi\)
0.00943813 + 0.999955i \(0.496996\pi\)
\(594\) −3.83857 16.8986i −0.157498 0.693360i
\(595\) 18.9511 6.43548i 0.776920 0.263829i
\(596\) −10.4418 + 7.58641i −0.427712 + 0.310751i
\(597\) −0.0392313 0.748578i −0.00160563 0.0306373i
\(598\) −30.2596 1.58584i −1.23741 0.0648498i
\(599\) −5.18456 11.6447i −0.211836 0.475790i 0.776109 0.630599i \(-0.217191\pi\)
−0.987945 + 0.154808i \(0.950524\pi\)
\(600\) −5.40901 0.0566884i −0.220822 0.00231429i
\(601\) 24.8176 + 8.06372i 1.01233 + 0.328926i 0.767782 0.640711i \(-0.221360\pi\)
0.244548 + 0.969637i \(0.421360\pi\)
\(602\) 0.166655 0.342555i 0.00679234 0.0139615i
\(603\) −22.8306 3.61601i −0.929734 0.147255i
\(604\) −3.30760 + 1.90964i −0.134584 + 0.0777024i
\(605\) −3.12333 24.3976i −0.126982 0.991905i
\(606\) −2.21127 + 3.83003i −0.0898268 + 0.155585i
\(607\) −6.13032 15.9700i −0.248822 0.648204i 0.751106 0.660182i \(-0.229521\pi\)
−0.999928 + 0.0119776i \(0.996187\pi\)
\(608\) 2.92963 + 1.49272i 0.118812 + 0.0605379i
\(609\) −1.85182 7.98497i −0.0750396 0.323567i
\(610\) 25.3106 + 16.6261i 1.02480 + 0.673172i
\(611\) −0.148684 + 1.41464i −0.00601513 + 0.0572301i
\(612\) −0.323930 + 6.18094i −0.0130941 + 0.249850i
\(613\) −25.5343 39.3193i −1.03132 1.58809i −0.785583 0.618756i \(-0.787637\pi\)
−0.245736 0.969337i \(-0.579030\pi\)
\(614\) −23.8674 10.6264i −0.963209 0.428848i
\(615\) −10.2743 + 0.484482i −0.414300 + 0.0195362i
\(616\) −6.07956 6.32763i −0.244952 0.254948i
\(617\) −18.8426 + 18.8426i −0.758574 + 0.758574i −0.976063 0.217489i \(-0.930213\pi\)
0.217489 + 0.976063i \(0.430213\pi\)
\(618\) −5.74936 14.9776i −0.231273 0.602488i
\(619\) 24.8377 + 5.27941i 0.998310 + 0.212197i 0.677958 0.735101i \(-0.262865\pi\)
0.320353 + 0.947298i \(0.396199\pi\)
\(620\) −19.5656 0.102525i −0.785773 0.00411748i
\(621\) −43.4025 4.56178i −1.74168 0.183058i
\(622\) −1.77524 11.2084i −0.0711805 0.449416i
\(623\) 7.66128 4.08333i 0.306943 0.163595i
\(624\) −3.73265 + 1.21281i −0.149426 + 0.0485514i
\(625\) −24.3394 5.70916i −0.973575 0.228366i
\(626\) −1.90906 1.10220i −0.0763015 0.0440527i
\(627\) 5.20921 10.5854i 0.208036 0.422742i
\(628\) −16.3942 4.39281i −0.654199 0.175292i
\(629\) 28.5860 20.7689i 1.13980 0.828112i
\(630\) −6.47722 8.67196i −0.258059 0.345499i
\(631\) −0.593425 + 1.82637i −0.0236239 + 0.0727068i −0.962173 0.272438i \(-0.912170\pi\)
0.938550 + 0.345145i \(0.112170\pi\)
\(632\) 10.3999 + 12.8429i 0.413687 + 0.510861i
\(633\) −0.103018 + 0.268372i −0.00409461 + 0.0106668i
\(634\) −10.1754 + 9.16199i −0.404117 + 0.363869i
\(635\) −6.10496 4.99689i −0.242268 0.198296i
\(636\) −3.36855 4.63641i −0.133572 0.183846i
\(637\) −5.66339 + 24.7548i −0.224392 + 0.980822i
\(638\) 9.20755 + 2.33026i 0.364530 + 0.0922558i
\(639\) 3.06554 1.76989i 0.121271 0.0700157i
\(640\) −0.338221 2.21034i −0.0133693 0.0873714i
\(641\) −1.50568 0.320042i −0.0594708 0.0126409i 0.178080 0.984016i \(-0.443011\pi\)
−0.237551 + 0.971375i \(0.576345\pi\)
\(642\) 1.69664 + 1.10181i 0.0669610 + 0.0434850i
\(643\) −21.8202 + 3.45598i −0.860505 + 0.136291i −0.571064 0.820905i \(-0.693469\pi\)
−0.289441 + 0.957196i \(0.593469\pi\)
\(644\) −20.0190 + 9.35922i −0.788860 + 0.368805i
\(645\) −0.172573 0.302555i −0.00679505 0.0119131i
\(646\) −7.44291 + 8.26619i −0.292837 + 0.325229i
\(647\) 10.3970 12.8392i 0.408748 0.504762i −0.530649 0.847591i \(-0.678052\pi\)
0.939398 + 0.342829i \(0.111385\pi\)
\(648\) −0.158334 + 0.0424256i −0.00621996 + 0.00166663i
\(649\) 15.6913 + 33.9626i 0.615936 + 1.33315i
\(650\) −18.0584 + 1.70687i −0.708307 + 0.0669490i
\(651\) 15.0928 + 19.9875i 0.591532 + 0.783371i
\(652\) −2.16596 1.10361i −0.0848256 0.0432208i
\(653\) −2.00007 1.29886i −0.0782687 0.0508283i 0.504911 0.863171i \(-0.331525\pi\)
−0.583180 + 0.812343i \(0.698192\pi\)
\(654\) 8.25965 3.67743i 0.322978 0.143799i
\(655\) 43.5019 + 14.3871i 1.69976 + 0.562149i
\(656\) −0.884009 4.15894i −0.0345148 0.162379i
\(657\) 7.15528 14.0430i 0.279154 0.547871i
\(658\) 0.389566 + 0.961461i 0.0151868 + 0.0374817i
\(659\) 4.91779i 0.191570i −0.995402 0.0957850i \(-0.969464\pi\)
0.995402 0.0957850i \(-0.0305361\pi\)
\(660\) −7.91332 + 1.32388i −0.308026 + 0.0515319i
\(661\) 1.06702 + 0.616046i 0.0415024 + 0.0239614i 0.520608 0.853796i \(-0.325705\pi\)
−0.479105 + 0.877757i \(0.659039\pi\)
\(662\) −3.89629 3.15515i −0.151433 0.122628i
\(663\) −0.694882 13.2591i −0.0269870 0.514943i
\(664\) 0.840032 2.58535i 0.0325996 0.100331i
\(665\) 0.761441 19.4372i 0.0295274 0.753741i
\(666\) −15.4598 11.2322i −0.599056 0.435239i
\(667\) 13.0274 20.0604i 0.504422 0.776742i
\(668\) −12.1953 + 7.91974i −0.471852 + 0.306424i
\(669\) 3.79108 0.398459i 0.146572 0.0154053i
\(670\) −6.01841 + 27.6024i −0.232511 + 1.06637i
\(671\) 41.2840 + 17.6963i 1.59375 + 0.683157i
\(672\) −1.98630 + 2.06096i −0.0766232 + 0.0795034i
\(673\) −45.1436 7.15004i −1.74016 0.275614i −0.796045 0.605237i \(-0.793078\pi\)
−0.944113 + 0.329623i \(0.893078\pi\)
\(674\) 18.1287 + 16.3232i 0.698292 + 0.628745i
\(675\) −26.1017 + 1.09378i −1.00466 + 0.0420995i
\(676\) −0.146823 + 0.0653698i −0.00564704 + 0.00251422i
\(677\) 32.2328 26.1016i 1.23881 1.00316i 0.239325 0.970940i \(-0.423074\pi\)
0.999481 0.0322253i \(-0.0102594\pi\)
\(678\) −6.82061 13.3862i −0.261944 0.514094i
\(679\) 1.59968 8.27345i 0.0613900 0.317506i
\(680\) 7.51889 + 0.830124i 0.288336 + 0.0318338i
\(681\) −14.1296 24.4731i −0.541446 0.937812i
\(682\) −28.5976 + 4.93849i −1.09506 + 0.189104i
\(683\) 30.1397 8.07592i 1.15327 0.309016i 0.368992 0.929432i \(-0.379703\pi\)
0.784273 + 0.620416i \(0.213036\pi\)
\(684\) 5.49557 + 2.44679i 0.210128 + 0.0935552i
\(685\) 32.9169 12.4381i 1.25769 0.475236i
\(686\) 4.84662 + 17.8749i 0.185045 + 0.682465i
\(687\) 2.52693 0.400227i 0.0964086 0.0152696i
\(688\) 0.111896 0.0906115i 0.00426599 0.00345453i
\(689\) −12.8589 14.2812i −0.489885 0.544072i
\(690\) −3.26541 + 19.9402i −0.124312 + 0.759110i
\(691\) −20.0144 + 44.9531i −0.761385 + 1.71010i −0.0590453 + 0.998255i \(0.518806\pi\)
−0.702339 + 0.711842i \(0.747861\pi\)
\(692\) 6.29684 + 6.29684i 0.239370 + 0.239370i
\(693\) −11.7137 10.9789i −0.444965 0.417054i
\(694\) 13.8136i 0.524356i
\(695\) −17.8009 + 7.81396i −0.675226 + 0.296400i
\(696\) 0.644138 3.03043i 0.0244160 0.114868i
\(697\) 14.3642 + 0.752797i 0.544084 + 0.0285142i
\(698\) 12.8084 + 15.8171i 0.484807 + 0.598687i
\(699\) −0.174686 0.126916i −0.00660721 0.00480042i
\(700\) −11.0368 + 7.29304i −0.417153 + 0.275651i
\(701\) −4.83949 14.8944i −0.182785 0.562554i 0.817118 0.576470i \(-0.195570\pi\)
−0.999903 + 0.0139158i \(0.995570\pi\)
\(702\) −17.6959 + 6.79281i −0.667888 + 0.256378i
\(703\) −8.88842 33.1720i −0.335233 1.25111i
\(704\) −1.06871 3.13972i −0.0402785 0.118333i
\(705\) 0.926749 + 0.202068i 0.0349034 + 0.00761032i
\(706\) −5.23810 7.20963i −0.197139 0.271338i
\(707\) 0.765160 + 10.7885i 0.0287768 + 0.405742i
\(708\) 10.8735 5.54032i 0.408651 0.208218i
\(709\) −42.3568 4.45188i −1.59074 0.167194i −0.732619 0.680638i \(-0.761702\pi\)
−0.858123 + 0.513445i \(0.828369\pi\)
\(710\) −1.94385 3.86495i −0.0729512 0.145049i
\(711\) 20.2311 + 22.4690i 0.758727 + 0.842652i
\(712\) 3.27681 0.171730i 0.122804 0.00643587i
\(713\) −11.4331 + 72.1861i −0.428175 + 2.70339i
\(714\) −4.99547 8.29520i −0.186951 0.310440i
\(715\) −25.9261 + 7.18871i −0.969581 + 0.268843i
\(716\) −9.90939 17.1636i −0.370331 0.641433i
\(717\) 12.3529 15.2546i 0.461329 0.569694i
\(718\) −9.22643 14.2075i −0.344327 0.530218i
\(719\) −6.09851 + 1.29628i −0.227436 + 0.0483431i −0.320220 0.947343i \(-0.603757\pi\)
0.0927837 + 0.995686i \(0.470423\pi\)
\(720\) −0.829598 4.00606i −0.0309173 0.149297i
\(721\) −32.1613 22.4721i −1.19775 0.836904i
\(722\) −3.71775 7.29649i −0.138360 0.271547i
\(723\) 13.5977 0.712626i 0.505704 0.0265028i
\(724\) 1.05157 + 10.0051i 0.0390815 + 0.371835i
\(725\) 5.96064 13.0189i 0.221373 0.483509i
\(726\) −11.2112 + 3.99114i −0.416088 + 0.148125i
\(727\) −20.3187 20.3187i −0.753580 0.753580i 0.221566 0.975145i \(-0.428883\pi\)
−0.975145 + 0.221566i \(0.928883\pi\)
\(728\) −5.90172 + 7.56933i −0.218732 + 0.280538i
\(729\) −16.4132 + 5.33297i −0.607896 + 0.197517i
\(730\) −16.6312 9.71856i −0.615547 0.359700i
\(731\) 0.198118 + 0.444981i 0.00732767 + 0.0164582i
\(732\) 5.25066 13.6784i 0.194070 0.505569i
\(733\) 6.50615 10.0186i 0.240310 0.370045i −0.697852 0.716242i \(-0.745860\pi\)
0.938162 + 0.346197i \(0.112527\pi\)
\(734\) 1.51213 + 4.65385i 0.0558136 + 0.171777i
\(735\) 15.9932 + 5.56521i 0.589918 + 0.205276i
\(736\) −8.35256 −0.307879
\(737\) −1.61023 + 41.8719i −0.0593135 + 1.54237i
\(738\) −2.01338 7.51402i −0.0741134 0.276595i
\(739\) −2.05989 + 0.216504i −0.0757744 + 0.00796421i −0.142340 0.989818i \(-0.545463\pi\)
0.0665654 + 0.997782i \(0.478796\pi\)
\(740\) −14.7927 + 18.0730i −0.543791 + 0.664378i
\(741\) −12.2730 3.98773i −0.450859 0.146493i
\(742\) −13.1748 4.78044i −0.483662 0.175495i
\(743\) 0.822230 + 5.19136i 0.0301647 + 0.190452i 0.998169 0.0604795i \(-0.0192630\pi\)
−0.968005 + 0.250932i \(0.919263\pi\)
\(744\) 1.96818 + 9.25955i 0.0721569 + 0.339472i
\(745\) 16.8411 + 23.4371i 0.617012 + 0.858670i
\(746\) 2.84439 + 27.0626i 0.104140 + 0.990831i
\(747\) 1.28724 4.80405i 0.0470977 0.175771i
\(748\) 11.1954 0.743153i 0.409346 0.0271723i
\(749\) 4.94654 0.0912513i 0.180743 0.00333425i
\(750\) −0.190134 + 12.0941i −0.00694273 + 0.441613i
\(751\) −30.9316 + 34.3530i −1.12871 + 1.25356i −0.165091 + 0.986278i \(0.552792\pi\)
−0.963619 + 0.267281i \(0.913875\pi\)
\(752\) −0.0205207 + 0.391558i −0.000748312 + 0.0142786i
\(753\) −30.7893 11.8189i −1.12202 0.430704i
\(754\) 1.08593 10.3320i 0.0395473 0.376268i
\(755\) 4.23128 + 7.41830i 0.153992 + 0.269979i
\(756\) −9.05892 + 10.4420i −0.329470 + 0.379772i
\(757\) −0.197216 + 1.24517i −0.00716795 + 0.0452566i −0.991013 0.133765i \(-0.957293\pi\)
0.983845 + 0.179022i \(0.0572932\pi\)
\(758\) 8.71747 32.5341i 0.316633 1.18169i
\(759\) 0.417252 + 29.9671i 0.0151453 + 1.08774i
\(760\) 3.37211 6.53328i 0.122319 0.236987i
\(761\) 12.3654 27.7732i 0.448246 1.00678i −0.538219 0.842805i \(-0.680903\pi\)
0.986465 0.163971i \(-0.0524305\pi\)
\(762\) −1.73287 + 3.40095i −0.0627753 + 0.123203i
\(763\) 11.6985 18.7628i 0.423512 0.679260i
\(764\) 7.71873 10.6239i 0.279254 0.384360i
\(765\) 13.8170 + 0.796740i 0.499556 + 0.0288062i
\(766\) −13.9602 + 12.5698i −0.504401 + 0.454165i
\(767\) 34.3201 22.2877i 1.23923 0.804763i
\(768\) −1.01000 + 0.387704i −0.0364454 + 0.0139901i
\(769\) 44.7153 1.61247 0.806237 0.591592i \(-0.201501\pi\)
0.806237 + 0.591592i \(0.201501\pi\)
\(770\) −14.2201 + 13.5200i −0.512455 + 0.487226i
\(771\) −14.2216 −0.512178