Properties

Label 770.2.bv.a.103.9
Level $770$
Weight $2$
Character 770.103
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 103.9
Character \(\chi\) \(=\) 770.103
Dual form 770.2.bv.a.157.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.358368 + 0.933580i) q^{2} +(-0.589224 + 0.907325i) q^{3} +(-0.743145 - 0.669131i) q^{4} +(-1.80211 - 1.32379i) q^{5} +(-0.635902 - 0.875244i) q^{6} +(-2.64423 + 0.0897121i) q^{7} +(0.891007 - 0.453990i) q^{8} +(0.744156 + 1.67140i) q^{9} +O(q^{10})\) \(q+(-0.358368 + 0.933580i) q^{2} +(-0.589224 + 0.907325i) q^{3} +(-0.743145 - 0.669131i) q^{4} +(-1.80211 - 1.32379i) q^{5} +(-0.635902 - 0.875244i) q^{6} +(-2.64423 + 0.0897121i) q^{7} +(0.891007 - 0.453990i) q^{8} +(0.744156 + 1.67140i) q^{9} +(1.88168 - 1.20801i) q^{10} +(3.16826 - 0.980879i) q^{11} +(1.04500 - 0.280006i) q^{12} +(-3.58311 + 0.567508i) q^{13} +(0.863854 - 2.50075i) q^{14} +(2.26295 - 0.855087i) q^{15} +(0.104528 + 0.994522i) q^{16} +(-1.21235 - 3.15829i) q^{17} +(-1.82707 + 0.0957526i) q^{18} +(-2.20010 - 2.44346i) q^{19} +(0.453437 + 2.18961i) q^{20} +(1.47665 - 2.45204i) q^{21} +(-0.219674 + 3.30934i) q^{22} +(8.06795 - 2.16180i) q^{23} +(-0.113085 + 1.07593i) q^{24} +(1.49517 + 4.77121i) q^{25} +(0.754256 - 3.54849i) q^{26} +(-5.16060 - 0.817359i) q^{27} +(2.02507 + 1.70267i) q^{28} +(2.72355 - 0.884934i) q^{29} +(-0.0126761 + 2.41908i) q^{30} +(8.70218 + 0.914636i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(-0.976839 + 3.45260i) q^{33} +3.38298 q^{34} +(4.88394 + 3.33873i) q^{35} +(0.565370 - 1.74003i) q^{36} +(8.75966 - 5.68859i) q^{37} +(3.06961 - 1.17831i) q^{38} +(1.59634 - 3.58543i) q^{39} +(-2.20668 - 0.361366i) q^{40} +(4.04375 + 1.31389i) q^{41} +(1.75999 + 2.25730i) q^{42} +(0.101811 + 0.101811i) q^{43} +(-3.01081 - 1.39105i) q^{44} +(0.871536 - 3.99715i) q^{45} +(-0.873080 + 8.30680i) q^{46} +(-0.0205207 + 0.391558i) q^{47} +(-0.963945 - 0.491155i) q^{48} +(6.98390 - 0.474439i) q^{49} +(-4.99013 - 0.313993i) q^{50} +(3.57994 + 0.760940i) q^{51} +(3.04250 + 1.97583i) q^{52} +(-4.11676 + 3.33368i) q^{53} +(2.61247 - 4.52492i) q^{54} +(-7.00802 - 2.42646i) q^{55} +(-2.31530 + 1.28039i) q^{56} +(3.51337 - 0.556463i) q^{57} +(-0.149875 + 2.85978i) q^{58} +(-7.54793 + 8.38283i) q^{59} +(-2.25386 - 0.878756i) q^{60} +(13.4688 - 1.41562i) q^{61} +(-3.97247 + 7.79641i) q^{62} +(-2.11766 - 4.35281i) q^{63} +(0.587785 - 0.809017i) q^{64} +(7.20840 + 3.72057i) q^{65} +(-2.87321 - 2.14926i) q^{66} +(-12.2037 - 3.26997i) q^{67} +(-1.21235 + 3.15829i) q^{68} +(-2.79237 + 8.59404i) q^{69} +(-4.86722 + 3.36306i) q^{70} +(-1.56525 + 1.13722i) q^{71} +(1.42185 + 1.15139i) q^{72} +(-0.450847 - 8.60268i) q^{73} +(2.17158 + 10.2165i) q^{74} +(-5.21003 - 1.45471i) q^{75} +3.28800i q^{76} +(-8.28961 + 2.87790i) q^{77} +(2.77521 + 2.77521i) q^{78} +(-6.72159 - 15.0969i) q^{79} +(1.12817 - 1.93061i) q^{80} +(0.109684 - 0.121816i) q^{81} +(-2.67578 + 3.30431i) q^{82} +(0.425252 - 2.68493i) q^{83} +(-2.73809 + 0.834150i) q^{84} +(-1.99612 + 7.29646i) q^{85} +(-0.131535 + 0.0585632i) q^{86} +(-0.801856 + 2.99257i) q^{87} +(2.37763 - 2.31233i) q^{88} +(1.64065 - 2.84169i) q^{89} +(3.41933 + 2.24610i) q^{90} +(9.42364 - 1.82207i) q^{91} +(-7.44218 - 3.79198i) q^{92} +(-5.95741 + 7.35678i) q^{93} +(-0.358197 - 0.159479i) q^{94} +(0.730189 + 7.31585i) q^{95} +(0.803979 - 0.723906i) q^{96} +(0.498242 + 3.14577i) q^{97} +(-2.05988 + 6.69006i) 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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.358368 + 0.933580i −0.253404 + 0.660141i
\(3\) −0.589224 + 0.907325i −0.340189 + 0.523844i −0.966816 0.255475i \(-0.917768\pi\)
0.626627 + 0.779319i \(0.284435\pi\)
\(4\) −0.743145 0.669131i −0.371572 0.334565i
\(5\) −1.80211 1.32379i −0.805926 0.592016i
\(6\) −0.635902 0.875244i −0.259606 0.357317i
\(7\) −2.64423 + 0.0897121i −0.999425 + 0.0339080i
\(8\) 0.891007 0.453990i 0.315018 0.160510i
\(9\) 0.744156 + 1.67140i 0.248052 + 0.557134i
\(10\) 1.88168 1.20801i 0.595040 0.382005i
\(11\) 3.16826 0.980879i 0.955267 0.295746i
\(12\) 1.04500 0.280006i 0.301665 0.0808308i
\(13\) −3.58311 + 0.567508i −0.993775 + 0.157398i −0.632084 0.774900i \(-0.717800\pi\)
−0.361691 + 0.932298i \(0.617800\pi\)
\(14\) 0.863854 2.50075i 0.230875 0.668354i
\(15\) 2.26295 0.855087i 0.584291 0.220783i
\(16\) 0.104528 + 0.994522i 0.0261321 + 0.248630i
\(17\) −1.21235 3.15829i −0.294039 0.765997i −0.998421 0.0561761i \(-0.982109\pi\)
0.704382 0.709821i \(-0.251224\pi\)
\(18\) −1.82707 + 0.0957526i −0.430644 + 0.0225691i
\(19\) −2.20010 2.44346i −0.504738 0.560569i 0.435893 0.899998i \(-0.356433\pi\)
−0.940631 + 0.339430i \(0.889766\pi\)
\(20\) 0.453437 + 2.18961i 0.101392 + 0.489612i
\(21\) 1.47665 2.45204i 0.322230 0.535078i
\(22\) −0.219674 + 3.30934i −0.0468346 + 0.705554i
\(23\) 8.06795 2.16180i 1.68228 0.450767i 0.713903 0.700244i \(-0.246926\pi\)
0.968381 + 0.249478i \(0.0802589\pi\)
\(24\) −0.113085 + 1.07593i −0.0230834 + 0.219624i
\(25\) 1.49517 + 4.77121i 0.299033 + 0.954243i
\(26\) 0.754256 3.54849i 0.147922 0.695917i
\(27\) −5.16060 0.817359i −0.993159 0.157301i
\(28\) 2.02507 + 1.70267i 0.382703 + 0.321774i
\(29\) 2.72355 0.884934i 0.505750 0.164328i −0.0450185 0.998986i \(-0.514335\pi\)
0.550769 + 0.834658i \(0.314335\pi\)
\(30\) −0.0126761 + 2.41908i −0.00231433 + 0.441662i
\(31\) 8.70218 + 0.914636i 1.56296 + 0.164274i 0.846130 0.532976i \(-0.178926\pi\)
0.716828 + 0.697250i \(0.245593\pi\)
\(32\) −0.965926 0.258819i −0.170753 0.0457532i
\(33\) −0.976839 + 3.45260i −0.170046 + 0.601020i
\(34\) 3.38298 0.580177
\(35\) 4.88394 + 3.33873i 0.825537 + 0.564349i
\(36\) 0.565370 1.74003i 0.0942284 0.290005i
\(37\) 8.75966 5.68859i 1.44008 0.935199i 0.440786 0.897612i \(-0.354700\pi\)
0.999293 0.0375867i \(-0.0119670\pi\)
\(38\) 3.06961 1.17831i 0.497957 0.191148i
\(39\) 1.59634 3.58543i 0.255619 0.574129i
\(40\) −2.20668 0.361366i −0.348906 0.0571370i
\(41\) 4.04375 + 1.31389i 0.631528 + 0.205196i 0.607252 0.794510i \(-0.292272\pi\)
0.0242760 + 0.999705i \(0.492272\pi\)
\(42\) 1.75999 + 2.25730i 0.271573 + 0.348309i
\(43\) 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
\(45\) 0.871536 3.99715i 0.129921 0.595859i
\(46\) −0.873080 + 8.30680i −0.128729 + 1.22477i
\(47\) −0.0205207 + 0.391558i −0.00299325 + 0.0571145i −0.999718 0.0237573i \(-0.992437\pi\)
0.996725 + 0.0808718i \(0.0257704\pi\)
\(48\) −0.963945 0.491155i −0.139134 0.0708921i
\(49\) 6.98390 0.474439i 0.997700 0.0677769i
\(50\) −4.99013 0.313993i −0.705711 0.0444053i
\(51\) 3.57994 + 0.760940i 0.501292 + 0.106553i
\(52\) 3.04250 + 1.97583i 0.421919 + 0.273998i
\(53\) −4.11676 + 3.33368i −0.565480 + 0.457917i −0.868933 0.494930i \(-0.835194\pi\)
0.303453 + 0.952846i \(0.401860\pi\)
\(54\) 2.61247 4.52492i 0.355512 0.615764i
\(55\) −7.00802 2.42646i −0.944961 0.327184i
\(56\) −2.31530 + 1.28039i −0.309395 + 0.171099i
\(57\) 3.51337 0.556463i 0.465357 0.0737053i
\(58\) −0.149875 + 2.85978i −0.0196795 + 0.375508i
\(59\) −7.54793 + 8.38283i −0.982657 + 1.09135i 0.0131540 + 0.999913i \(0.495813\pi\)
−0.995811 + 0.0914375i \(0.970854\pi\)
\(60\) −2.25386 0.878756i −0.290973 0.113447i
\(61\) 13.4688 1.41562i 1.72450 0.181252i 0.810161 0.586208i \(-0.199380\pi\)
0.914336 + 0.404956i \(0.132713\pi\)
\(62\) −3.97247 + 7.79641i −0.504504 + 0.990145i
\(63\) −2.11766 4.35281i −0.266801 0.548402i
\(64\) 0.587785 0.809017i 0.0734732 0.101127i
\(65\) 7.20840 + 3.72057i 0.894091 + 0.461480i
\(66\) −2.87321 2.14926i −0.353668 0.264555i
\(67\) −12.2037 3.26997i −1.49092 0.399490i −0.580870 0.813996i \(-0.697288\pi\)
−0.910047 + 0.414506i \(0.863954\pi\)
\(68\) −1.21235 + 3.15829i −0.147019 + 0.382999i
\(69\) −2.79237 + 8.59404i −0.336162 + 1.03460i
\(70\) −4.86722 + 3.36306i −0.581744 + 0.401962i
\(71\) −1.56525 + 1.13722i −0.185761 + 0.134963i −0.676779 0.736186i \(-0.736625\pi\)
0.491018 + 0.871149i \(0.336625\pi\)
\(72\) 1.42185 + 1.15139i 0.167566 + 0.135693i
\(73\) −0.450847 8.60268i −0.0527677 1.00687i −0.888831 0.458235i \(-0.848482\pi\)
0.836064 0.548633i \(-0.184851\pi\)
\(74\) 2.17158 + 10.2165i 0.252441 + 1.18764i
\(75\) −5.21003 1.45471i −0.601602 0.167976i
\(76\) 3.28800i 0.377160i
\(77\) −8.28961 + 2.87790i −0.944689 + 0.327967i
\(78\) 2.77521 + 2.77521i 0.314231 + 0.314231i
\(79\) −6.72159 15.0969i −0.756238 1.69854i −0.714730 0.699401i \(-0.753450\pi\)
−0.0415082 0.999138i \(-0.513216\pi\)
\(80\) 1.12817 1.93061i 0.126133 0.215848i
\(81\) 0.109684 0.121816i 0.0121871 0.0135351i
\(82\) −2.67578 + 3.30431i −0.295490 + 0.364900i
\(83\) 0.425252 2.68493i 0.0466774 0.294710i −0.953296 0.302039i \(-0.902333\pi\)
0.999973 + 0.00732885i \(0.00233287\pi\)
\(84\) −2.73809 + 0.834150i −0.298751 + 0.0910132i
\(85\) −1.99612 + 7.29646i −0.216509 + 0.791413i
\(86\) −0.131535 + 0.0585632i −0.0141838 + 0.00631503i
\(87\) −0.801856 + 2.99257i −0.0859680 + 0.320837i
\(88\) 2.37763 2.31233i 0.253456 0.246495i
\(89\) 1.64065 2.84169i 0.173909 0.301219i −0.765874 0.642990i \(-0.777694\pi\)
0.939783 + 0.341771i \(0.111027\pi\)
\(90\) 3.41933 + 2.24610i 0.360429 + 0.236759i
\(91\) 9.42364 1.82207i 0.987866 0.191005i
\(92\) −7.44218 3.79198i −0.775901 0.395341i
\(93\) −5.95741 + 7.35678i −0.617754 + 0.762863i
\(94\) −0.358197 0.159479i −0.0369452 0.0164490i
\(95\) 0.730189 + 7.31585i 0.0749158 + 0.750590i
\(96\) 0.803979 0.723906i 0.0820558 0.0738834i
\(97\) 0.498242 + 3.14577i 0.0505888 + 0.319405i 0.999986 + 0.00532648i \(0.00169548\pi\)
−0.949397 + 0.314078i \(0.898305\pi\)
\(98\) −2.05988 + 6.69006i −0.208079 + 0.675798i
\(99\) 3.99712 + 4.56551i 0.401726 + 0.458851i
\(100\) 2.08144 4.54616i 0.208144 0.454616i
\(101\) 4.06551 + 0.427302i 0.404533 + 0.0425182i 0.304610 0.952477i \(-0.401474\pi\)
0.0999228 + 0.994995i \(0.468140\pi\)
\(102\) −1.99333 + 3.06947i −0.197369 + 0.303922i
\(103\) 12.4369 8.07659i 1.22544 0.795810i 0.240828 0.970568i \(-0.422581\pi\)
0.984611 + 0.174758i \(0.0559143\pi\)
\(104\) −2.93493 + 2.13235i −0.287793 + 0.209094i
\(105\) −5.90705 + 2.46406i −0.576469 + 0.240468i
\(106\) −1.63695 5.03801i −0.158995 0.489335i
\(107\) 1.86737 + 0.0978648i 0.180526 + 0.00946095i 0.142385 0.989811i \(-0.454523\pi\)
0.0381411 + 0.999272i \(0.487856\pi\)
\(108\) 3.28816 + 4.06053i 0.316403 + 0.390725i
\(109\) 7.23753 4.17859i 0.693230 0.400237i −0.111591 0.993754i \(-0.535595\pi\)
0.804821 + 0.593518i \(0.202261\pi\)
\(110\) 4.77675 5.67298i 0.455445 0.540897i
\(111\) 11.2997i 1.07252i
\(112\) −0.365618 2.62037i −0.0345476 0.247601i
\(113\) 12.3733 6.30452i 1.16398 0.593079i 0.238231 0.971209i \(-0.423433\pi\)
0.925753 + 0.378129i \(0.123433\pi\)
\(114\) −0.739576 + 3.47943i −0.0692676 + 0.325878i
\(115\) −17.4011 6.78447i −1.62266 0.632655i
\(116\) −2.61613 1.16477i −0.242901 0.108147i
\(117\) −3.61492 5.56649i −0.334200 0.514623i
\(118\) −5.12111 10.0507i −0.471436 0.925245i
\(119\) 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
\(122\) −3.50517 + 13.0815i −0.317343 + 1.18434i
\(123\) −3.57480 + 2.89482i −0.322329 + 0.261017i
\(124\) −5.85497 6.50261i −0.525792 0.583951i
\(125\) 3.62163 10.5775i 0.323929 0.946081i
\(126\) 4.82260 0.417102i 0.429631 0.0371584i
\(127\) 0.551925 3.48472i 0.0489754 0.309219i −0.951025 0.309115i \(-0.899967\pi\)
1.00000 0.000103403i \(-3.29140e-5\pi\)
\(128\) 0.544639 + 0.838671i 0.0481397 + 0.0741287i
\(129\) −0.152366 + 0.0323863i −0.0134151 + 0.00285146i
\(130\) −6.05671 + 5.39629i −0.531208 + 0.473286i
\(131\) −17.7457 10.2455i −1.55045 0.895152i −0.998105 0.0615359i \(-0.980400\pi\)
−0.552344 0.833616i \(-0.686267\pi\)
\(132\) 3.03617 1.91215i 0.264265 0.166431i
\(133\) 6.03679 + 6.26370i 0.523456 + 0.543132i
\(134\) 7.42618 10.2213i 0.641525 0.882983i
\(135\) 8.21794 + 8.30452i 0.707288 + 0.714739i
\(136\) −2.51405 2.26366i −0.215578 0.194107i
\(137\) −14.6915 + 5.63955i −1.25518 + 0.481819i −0.892903 0.450250i \(-0.851335\pi\)
−0.362280 + 0.932069i \(0.618002\pi\)
\(138\) −7.02253 5.68673i −0.597797 0.484087i
\(139\) −2.68660 8.26850i −0.227874 0.701325i −0.997987 0.0634173i \(-0.979800\pi\)
0.770113 0.637908i \(-0.220200\pi\)
\(140\) −1.39543 5.74915i −0.117935 0.485892i
\(141\) −0.343179 0.249334i −0.0289009 0.0209977i
\(142\) −0.500751 1.86883i −0.0420221 0.156829i
\(143\) −10.7956 + 5.31261i −0.902770 + 0.444263i
\(144\) −1.58446 + 0.914788i −0.132038 + 0.0762324i
\(145\) −6.07959 2.01066i −0.504882 0.166976i
\(146\) 8.19286 + 2.66202i 0.678046 + 0.220310i
\(147\) −3.68461 + 6.61622i −0.303902 + 0.545697i
\(148\) −10.3161 1.63391i −0.847979 0.134307i
\(149\) 12.8361 1.34912i 1.05157 0.110525i 0.437060 0.899433i \(-0.356020\pi\)
0.614511 + 0.788908i \(0.289353\pi\)
\(150\) 3.22520 4.34266i 0.263336 0.354577i
\(151\) −3.73583 + 0.794075i −0.304017 + 0.0646209i −0.357394 0.933954i \(-0.616335\pi\)
0.0533770 + 0.998574i \(0.483001\pi\)
\(152\) −3.06961 1.17831i −0.248979 0.0955739i
\(153\) 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
\(157\) 14.2343 + 9.24389i 1.13602 + 0.737743i 0.968718 0.248162i \(-0.0798266\pi\)
0.167306 + 0.985905i \(0.446493\pi\)
\(158\) 16.5030 0.864886i 1.31291 0.0688067i
\(159\) −0.599044 5.69952i −0.0475073 0.452002i
\(160\) 1.39808 + 1.74510i 0.110528 + 0.137962i
\(161\) −21.1396 + 6.44009i −1.66603 + 0.507550i
\(162\) 0.0744181 + 0.146054i 0.00584684 + 0.0114751i
\(163\) −2.26945 0.871162i −0.177757 0.0682347i 0.267862 0.963457i \(-0.413683\pi\)
−0.445619 + 0.895223i \(0.647016\pi\)
\(164\) −2.12593 3.68221i −0.166007 0.287532i
\(165\) 6.33088 4.92882i 0.492858 0.383708i
\(166\) 2.35420 + 1.35920i 0.182722 + 0.105494i
\(167\) 2.27475 + 14.3622i 0.176026 + 1.11138i 0.904551 + 0.426365i \(0.140206\pi\)
−0.728526 + 0.685019i \(0.759794\pi\)
\(168\) 0.202499 2.85516i 0.0156231 0.220281i
\(169\) 0.152852 0.0496645i 0.0117578 0.00382035i
\(170\) −6.09649 4.47836i −0.467580 0.343474i
\(171\) 2.44679 5.49557i 0.187110 0.420257i
\(172\) −0.00753549 0.143786i −0.000574576 0.0109636i
\(173\) 8.89287 + 0.466056i 0.676112 + 0.0354335i 0.387302 0.921953i \(-0.373407\pi\)
0.288810 + 0.957386i \(0.406740\pi\)
\(174\) −2.50644 1.82104i −0.190013 0.138052i
\(175\) −4.38160 12.4821i −0.331218 0.943554i
\(176\) 1.30668 + 3.04837i 0.0984946 + 0.229780i
\(177\) −3.15853 11.7878i −0.237409 0.886024i
\(178\) 2.06499 + 2.55005i 0.154778 + 0.191135i
\(179\) −4.12056 19.3857i −0.307985 1.44895i −0.811188 0.584786i \(-0.801178\pi\)
0.503203 0.864168i \(-0.332155\pi\)
\(180\) −3.32229 + 2.38729i −0.247629 + 0.177938i
\(181\) −5.91322 8.13885i −0.439526 0.604956i 0.530580 0.847635i \(-0.321974\pi\)
−0.970107 + 0.242678i \(0.921974\pi\)
\(182\) −1.67608 + 9.45070i −0.124240 + 0.700533i
\(183\) −6.65168 + 13.0547i −0.491706 + 0.965028i
\(184\) 6.20716 5.58895i 0.457598 0.412023i
\(185\) −23.3163 1.34450i −1.71425 0.0988500i
\(186\) −4.73321 8.19815i −0.347056 0.601118i
\(187\) −6.93895 8.81711i −0.507426 0.644771i
\(188\) 0.277253 0.277253i 0.0202208 0.0202208i
\(189\) 13.7191 + 1.69832i 0.997921 + 0.123534i
\(190\) −7.09161 1.94007i −0.514479 0.140748i
\(191\) 12.8449 + 2.73027i 0.929427 + 0.197556i 0.647662 0.761928i \(-0.275747\pi\)
0.281765 + 0.959484i \(0.409080\pi\)
\(192\) 0.387704 + 1.01000i 0.0279802 + 0.0728908i
\(193\) 2.26665 + 5.90484i 0.163157 + 0.425040i 0.990648 0.136439i \(-0.0435659\pi\)
−0.827491 + 0.561479i \(0.810233\pi\)
\(194\) −3.11539 0.662196i −0.223672 0.0475429i
\(195\) −7.62312 + 4.34811i −0.545903 + 0.311375i
\(196\) −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 \(0.883093\pi\)
\(198\) −5.69471 + 2.09550i −0.404705 + 0.148921i
\(199\) −0.346442 0.600056i −0.0245587 0.0425368i 0.853485 0.521118i \(-0.174485\pi\)
−0.878044 + 0.478581i \(0.841151\pi\)
\(200\) 3.49829 + 3.57239i 0.247366 + 0.252606i
\(201\) 10.1576 9.14596i 0.716463 0.645107i
\(202\) −1.85587 + 3.64235i −0.130578 + 0.256275i
\(203\) −7.12230 + 2.58431i −0.499887 + 0.181383i
\(204\) −2.15125 2.96094i −0.150617 0.207307i
\(205\) −5.54794 7.72085i −0.387485 0.539247i
\(206\) 3.08317 + 14.5052i 0.214815 + 1.01062i
\(207\) 9.61705 + 11.8761i 0.668431 + 0.825444i
\(208\) −0.938936 3.50416i −0.0651035 0.242970i
\(209\) −9.36724 5.58349i −0.647946 0.386218i
\(210\) −0.183502 6.39775i −0.0126629 0.441486i
\(211\) −0.214967 0.156183i −0.0147989 0.0107520i 0.580361 0.814359i \(-0.302911\pi\)
−0.595160 + 0.803607i \(0.702911\pi\)
\(212\) 5.29002 + 0.277238i 0.363320 + 0.0190408i
\(213\) −0.109546 2.09027i −0.00750598 0.143223i
\(214\) −0.760571 + 1.70827i −0.0519916 + 0.116775i
\(215\) −0.0486980 0.318252i −0.00332118 0.0217046i
\(216\) −4.96920 + 1.61459i −0.338112 + 0.109859i
\(217\) −23.0926 1.63782i −1.56763 0.111182i
\(218\) 1.30735 + 8.25429i 0.0885450 + 0.559051i
\(219\) 8.07107 + 4.65984i 0.545393 + 0.314883i
\(220\) 3.58435 + 6.49249i 0.241657 + 0.437724i
\(221\) 6.13634 + 10.6285i 0.412775 + 0.714947i
\(222\) −10.5492 4.04946i −0.708015 0.271782i
\(223\) 1.59965 + 3.13948i 0.107120 + 0.210235i 0.938344 0.345702i \(-0.112359\pi\)
−0.831224 + 0.555938i \(0.812359\pi\)
\(224\) 2.57735 + 0.597722i 0.172206 + 0.0399370i
\(225\) −6.86198 + 6.04955i −0.457465 + 0.403303i
\(226\) 1.45158 + 13.8108i 0.0965574 + 0.918682i
\(227\) 26.0851 1.36706i 1.73133 0.0907349i 0.839570 0.543252i \(-0.182807\pi\)
0.891756 + 0.452517i \(0.149474\pi\)
\(228\) −2.98329 1.93737i −0.197573 0.128305i
\(229\) −2.16039 + 0.961869i −0.142763 + 0.0635621i −0.476875 0.878971i \(-0.658230\pi\)
0.334112 + 0.942533i \(0.391564\pi\)
\(230\) 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
\(233\) −0.186329 0.0715248i −0.0122068 0.00468575i 0.352257 0.935903i \(-0.385414\pi\)
−0.364464 + 0.931218i \(0.618748\pi\)
\(234\) 6.49224 1.37997i 0.424411 0.0902114i
\(235\) 0.555320 0.678463i 0.0362251 0.0442580i
\(236\) 11.2184 1.17910i 0.730256 0.0767530i
\(237\) 17.6584 + 2.79681i 1.14703 + 0.181672i
\(238\) −8.94539 + 0.303494i −0.579843 + 0.0196726i
\(239\) −17.2557 5.60673i −1.11618 0.362669i −0.307872 0.951428i \(-0.599617\pi\)
−0.808309 + 0.588759i \(0.799617\pi\)
\(240\) 1.08695 + 2.16117i 0.0701620 + 0.139503i
\(241\) 10.8999 6.29303i 0.702121 0.405370i −0.106016 0.994364i \(-0.533809\pi\)
0.808137 + 0.588995i \(0.200476\pi\)
\(242\) 2.55008 + 10.7003i 0.163925 + 0.687843i
\(243\) −4.01104 14.9694i −0.257308 0.960287i
\(244\) −10.9565 7.96034i −0.701416 0.509609i
\(245\) −13.2138 8.39023i −0.844198 0.536032i
\(246\) −1.42145 4.37478i −0.0906284 0.278926i
\(247\) 9.26989 + 7.50661i 0.589829 + 0.477634i
\(248\) 8.16894 3.13576i 0.518728 0.199121i
\(249\) 2.18554 + 1.96787i 0.138503 + 0.124709i
\(250\) 8.57708 + 7.17173i 0.542462 + 0.453580i
\(251\) −17.9182 + 24.6623i −1.13099 + 1.55667i −0.344808 + 0.938673i \(0.612056\pi\)
−0.786180 + 0.617998i \(0.787944\pi\)
\(252\) −1.33887 + 4.65176i −0.0843407 + 0.293033i
\(253\) 23.4409 14.7628i 1.47372 0.928131i
\(254\) 3.05547 + 1.76408i 0.191717 + 0.110688i
\(255\) −5.44410 6.11038i −0.340923 0.382647i
\(256\) −0.978148 + 0.207912i −0.0611342 + 0.0129945i
\(257\) 7.15954 + 11.0247i 0.446600 + 0.687704i 0.988241 0.152906i \(-0.0488633\pi\)
−0.541641 + 0.840610i \(0.682197\pi\)
\(258\) 0.0243677 0.153852i 0.00151707 0.00957840i
\(259\) −22.6522 + 15.8278i −1.40754 + 0.983491i
\(260\) −2.86734 7.58828i −0.177825 0.470605i
\(261\) 3.50582 + 3.89361i 0.217005 + 0.241009i
\(262\) 15.9245 12.8954i 0.983817 0.796680i
\(263\) 4.65509 17.3730i 0.287045 1.07127i −0.660287 0.751014i \(-0.729565\pi\)
0.947332 0.320254i \(-0.103768\pi\)
\(264\) 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
\(267\) 1.61163 + 3.16300i 0.0986301 + 0.193572i
\(268\) 6.88107 + 10.5959i 0.420328 + 0.647249i
\(269\) −4.13980 1.84316i −0.252408 0.112379i 0.276633 0.960976i \(-0.410782\pi\)
−0.529041 + 0.848596i \(0.677448\pi\)
\(270\) −10.6980 + 4.69603i −0.651058 + 0.285792i
\(271\) −0.901846 + 4.24285i −0.0547832 + 0.257735i −0.997013 0.0772320i \(-0.975392\pi\)
0.942230 + 0.334967i \(0.108725\pi\)
\(272\) 3.01426 1.53584i 0.182766 0.0931241i
\(273\) −3.89943 + 9.62392i −0.236004 + 0.582466i
\(274\) 15.7368i 0.950693i
\(275\) 9.41706 + 13.6499i 0.567870 + 0.823118i
\(276\) 7.82567 4.51815i 0.471050 0.271961i
\(277\) 0.862699 + 1.06534i 0.0518345 + 0.0640103i 0.802404 0.596781i \(-0.203554\pi\)
−0.750569 + 0.660792i \(0.770221\pi\)
\(278\) 8.68210 + 0.455010i 0.520718 + 0.0272897i
\(279\) 4.94706 + 15.2255i 0.296173 + 0.911525i
\(280\) 5.86737 + 0.757569i 0.350643 + 0.0452734i
\(281\) −4.08398 + 2.96719i −0.243630 + 0.177007i −0.702899 0.711290i \(-0.748111\pi\)
0.459269 + 0.888297i \(0.348111\pi\)
\(282\) 0.355758 0.231032i 0.0211851 0.0137577i
\(283\) −7.36621 + 11.3430i −0.437876 + 0.674270i −0.986863 0.161561i \(-0.948347\pi\)
0.548987 + 0.835831i \(0.315014\pi\)
\(284\) 1.92415 + 0.202237i 0.114178 + 0.0120005i
\(285\) −7.06810 3.64815i −0.418678 0.216098i
\(286\) −1.09096 11.9824i −0.0645101 0.708534i
\(287\) −10.8105 3.11146i −0.638122 0.183664i
\(288\) −0.286209 1.80705i −0.0168650 0.106482i
\(289\) 4.12849 3.71730i 0.242852 0.218665i
\(290\) 4.05584 4.95523i 0.238167 0.290981i
\(291\) −3.14781 1.40150i −0.184528 0.0821572i
\(292\) −5.42127 + 6.69471i −0.317256 + 0.391778i
\(293\) −9.04221 4.60724i −0.528252 0.269158i 0.169459 0.985537i \(-0.445798\pi\)
−0.697711 + 0.716380i \(0.745798\pi\)
\(294\) −4.85633 5.81092i −0.283227 0.338900i
\(295\) 24.6993 5.11487i 1.43805 0.297799i
\(296\) 5.22235 9.04538i 0.303543 0.525752i
\(297\) −17.1519 + 2.47232i −0.995252 + 0.143459i
\(298\) −3.34052 + 12.4670i −0.193511 + 0.722193i
\(299\) −27.6815 + 12.3246i −1.60086 + 0.712749i
\(300\) 2.89841 + 4.56725i 0.167340 + 0.263690i
\(301\) −0.278346 0.260079i −0.0160436 0.0149907i
\(302\) 0.597469 3.77227i 0.0343805 0.217070i
\(303\) −2.78320 + 3.43696i −0.159890 + 0.197448i
\(304\) 2.20010 2.44346i 0.126185 0.140142i
\(305\) −26.1461 15.2787i −1.49712 0.874855i
\(306\) 2.51747 + 5.65432i 0.143914 + 0.323236i
\(307\) −18.4739 18.4739i −1.05436 1.05436i −0.998435 0.0559289i \(-0.982188\pi\)
−0.0559289 0.998435i \(-0.517812\pi\)
\(308\) 8.08607 + 3.40814i 0.460747 + 0.194197i
\(309\) 16.0432i 0.912665i
\(310\) 17.4796 8.79124i 0.992775 0.499309i
\(311\) −2.35941 11.1001i −0.133790 0.629431i −0.993030 0.117859i \(-0.962397\pi\)
0.859241 0.511572i \(-0.170936\pi\)
\(312\) −0.205405 3.91936i −0.0116288 0.221890i
\(313\) 1.71314 + 1.38727i 0.0968323 + 0.0784133i 0.676514 0.736430i \(-0.263490\pi\)
−0.579682 + 0.814843i \(0.696823\pi\)
\(314\) −13.7310 + 9.97619i −0.774888 + 0.562989i
\(315\) −1.94595 + 10.6476i −0.109642 + 0.599922i
\(316\) −5.10671 + 15.7168i −0.287275 + 0.884141i
\(317\) 4.90691 12.7829i 0.275599 0.717961i −0.724004 0.689796i \(-0.757700\pi\)
0.999603 0.0281652i \(-0.00896643\pi\)
\(318\) 5.53564 + 1.48327i 0.310423 + 0.0831777i
\(319\) 7.76090 5.47517i 0.434527 0.306551i
\(320\) −2.13022 + 0.679830i −0.119083 + 0.0380037i
\(321\) −1.18909 + 1.63665i −0.0663688 + 0.0913488i
\(322\) 1.56340 22.0434i 0.0871251 1.22843i
\(323\) −5.04985 + 9.91089i −0.280981 + 0.551457i
\(324\) −0.163022 + 0.0171343i −0.00905677 + 0.000951905i
\(325\) −8.06504 16.2472i −0.447368 0.901235i
\(326\) 1.62660 1.80652i 0.0900890 0.100054i
\(327\) −0.473186 + 9.02892i −0.0261672 + 0.499301i
\(328\) 4.19950 0.665136i 0.231879 0.0367260i
\(329\) 0.0191339 1.03721i 0.00105489 0.0571832i
\(330\) 2.33267 + 7.67672i 0.128409 + 0.422589i
\(331\) 2.50679 4.34189i 0.137786 0.238652i −0.788872 0.614557i \(-0.789335\pi\)
0.926658 + 0.375905i \(0.122668\pi\)
\(332\) −2.11259 + 1.71075i −0.115944 + 0.0938893i
\(333\) 16.0265 + 10.4077i 0.878245 + 0.570339i
\(334\) −14.2235 3.02330i −0.778275 0.165428i
\(335\) 17.6636 + 22.0479i 0.965064 + 1.20461i
\(336\) 2.59296 + 1.21225i 0.141457 + 0.0661336i
\(337\) 21.7357 + 11.0749i 1.18402 + 0.603289i 0.931301 0.364251i \(-0.118675\pi\)
0.252720 + 0.967539i \(0.418675\pi\)
\(338\) −0.00841132 + 0.160498i −0.000457515 + 0.00872991i
\(339\) −1.57040 + 14.9414i −0.0852926 + 0.811505i
\(340\) 6.36569 4.08667i 0.345228 0.221631i
\(341\) 28.4679 5.63798i 1.54163 0.305314i
\(342\) 4.25371 + 4.25371i 0.230014 + 0.230014i
\(343\) −18.4245 + 1.88107i −0.994829 + 0.101568i
\(344\) 0.136936 + 0.0444932i 0.00738310 + 0.00239891i
\(345\) 16.4088 11.7908i 0.883422 0.634798i
\(346\) −3.62202 + 8.13519i −0.194721 + 0.437351i
\(347\) 12.8961 4.95034i 0.692298 0.265748i 0.0133248 0.999911i \(-0.495758\pi\)
0.678973 + 0.734163i \(0.262425\pi\)
\(348\) 2.59831 1.68736i 0.139284 0.0904522i
\(349\) 6.28937 19.3567i 0.336662 1.03614i −0.629235 0.777215i \(-0.716632\pi\)
0.965897 0.258925i \(-0.0833682\pi\)
\(350\) 13.2232 + 0.382594i 0.706811 + 0.0204505i
\(351\) 18.9548 1.01174
\(352\) −3.31418 + 0.127450i −0.176646 + 0.00679311i
\(353\) 8.60794 + 2.30649i 0.458154 + 0.122762i 0.480512 0.876988i \(-0.340451\pi\)
−0.0223580 + 0.999750i \(0.507117\pi\)
\(354\) 12.1368 + 1.27563i 0.645062 + 0.0677987i
\(355\) 4.32618 + 0.0226694i 0.229610 + 0.00120316i
\(356\) −3.12071 + 1.01398i −0.165397 + 0.0537408i
\(357\) −9.53445 1.69094i −0.504617 0.0894938i
\(358\) 19.5748 + 3.10034i 1.03456 + 0.163858i
\(359\) −3.52212 + 16.5703i −0.185890 + 0.874545i 0.782021 + 0.623252i \(0.214189\pi\)
−0.967911 + 0.251293i \(0.919144\pi\)
\(360\) −1.03812 3.95715i −0.0547139 0.208560i
\(361\) 0.855988 8.14418i 0.0450520 0.428641i
\(362\) 9.71738 2.60377i 0.510734 0.136851i
\(363\) 0.291703 + 11.8969i 0.0153104 + 0.624425i
\(364\) −8.22234 4.95159i −0.430968 0.259534i
\(365\) −10.5757 + 16.0998i −0.553555 + 0.842700i
\(366\) −9.80382 10.8882i −0.512454 0.569138i
\(367\) 4.88664 0.256098i 0.255080 0.0133682i 0.0756329 0.997136i \(-0.475902\pi\)
0.179448 + 0.983768i \(0.442569\pi\)
\(368\) 2.99329 + 7.79778i 0.156036 + 0.406488i
\(369\) 0.813136 + 7.73647i 0.0423302 + 0.402745i
\(370\) 9.61103 21.2858i 0.499654 1.10660i
\(371\) 10.5866 9.18435i 0.549628 0.476828i
\(372\) 9.34987 1.48087i 0.484768 0.0767797i
\(373\) −26.2844 + 7.04289i −1.36096 + 0.364667i −0.864167 0.503205i \(-0.832154\pi\)
−0.496788 + 0.867872i \(0.665487\pi\)
\(374\) 10.7182 3.31830i 0.554224 0.171585i
\(375\) 7.46329 + 9.51852i 0.385403 + 0.491534i
\(376\) 0.159479 + 0.358197i 0.00822452 + 0.0184726i
\(377\) −9.25655 + 4.71645i −0.476737 + 0.242910i
\(378\) −6.50202 + 12.1993i −0.334428 + 0.627465i
\(379\) 19.7976 + 27.2491i 1.01694 + 1.39969i 0.914330 + 0.404970i \(0.132718\pi\)
0.102606 + 0.994722i \(0.467282\pi\)
\(380\) 4.35262 5.92533i 0.223285 0.303963i
\(381\) 2.83656 + 2.55405i 0.145322 + 0.130848i
\(382\) −7.15214 + 11.0133i −0.365935 + 0.563491i
\(383\) −6.73203 + 17.5375i −0.343991 + 0.896126i 0.647036 + 0.762460i \(0.276008\pi\)
−0.991026 + 0.133666i \(0.957325\pi\)
\(384\) −1.08186 −0.0552085
\(385\) 18.7485 + 5.78742i 0.955511 + 0.294954i
\(386\) −6.32494 −0.321931
\(387\) −0.0944042 + 0.245931i −0.00479883 + 0.0125014i
\(388\) 1.73467 2.67115i 0.0880644 0.135607i
\(389\) 17.8940 + 16.1118i 0.907262 + 0.816902i 0.983634 0.180177i \(-0.0576672\pi\)
−0.0763726 + 0.997079i \(0.524334\pi\)
\(390\) −1.32743 8.67502i −0.0672170 0.439277i
\(391\) −16.6088 22.8600i −0.839943 1.15608i
\(392\) 6.00731 3.59335i 0.303415 0.181492i
\(393\) 19.7522 10.0642i 0.996365 0.507673i
\(394\) −10.4340 23.4352i −0.525659 1.18065i
\(395\) −7.87215 + 36.1042i −0.396091 + 1.81660i
\(396\) 0.0844809 6.06743i 0.00424532 0.304900i
\(397\) 9.57237 2.56491i 0.480423 0.128729i −0.0104763 0.999945i \(-0.503335\pi\)
0.490900 + 0.871216i \(0.336668\pi\)
\(398\) 0.684354 0.108391i 0.0343036 0.00543315i
\(399\) −9.24023 + 1.78661i −0.462590 + 0.0894422i
\(400\) −4.58879 + 1.98570i −0.229439 + 0.0992851i
\(401\) −0.486936 4.63289i −0.0243164 0.231355i −0.999930 0.0118587i \(-0.996225\pi\)
0.975613 0.219497i \(-0.0704415\pi\)
\(402\) 4.89833 + 12.7606i 0.244306 + 0.636440i
\(403\) −31.6999 + 1.66132i −1.57909 + 0.0827564i
\(404\) −2.73534 3.03790i −0.136088 0.151141i
\(405\) −0.358921 + 0.0743274i −0.0178349 + 0.00369336i
\(406\) 0.139747 7.57537i 0.00693551 0.375959i
\(407\) 22.1731 26.6151i 1.09908 1.31926i
\(408\) 3.53521 0.947256i 0.175019 0.0468962i
\(409\) −1.70163 + 16.1899i −0.0841401 + 0.800540i 0.868346 + 0.495958i \(0.165183\pi\)
−0.952486 + 0.304581i \(0.901484\pi\)
\(410\) 9.19624 2.41255i 0.454170 0.119147i
\(411\) 3.53970 16.6530i 0.174600 0.821430i
\(412\) −14.6467 2.31981i −0.721590 0.114289i
\(413\) 19.2064 22.8433i 0.945086 1.12404i
\(414\) −14.5337 + 4.72229i −0.714293 + 0.232088i
\(415\) −4.32063 + 4.27559i −0.212092 + 0.209880i
\(416\) 3.60790 + 0.379205i 0.176892 + 0.0185921i
\(417\) 9.08522 + 2.43438i 0.444905 + 0.119212i
\(418\) 8.56956 6.74413i 0.419151 0.329866i
\(419\) 2.49226 0.121755 0.0608774 0.998145i \(-0.480610\pi\)
0.0608774 + 0.998145i \(0.480610\pi\)
\(420\) 6.03857 + 2.12143i 0.294652 + 0.103515i
\(421\) −2.20475 + 6.78552i −0.107453 + 0.330706i −0.990298 0.138958i \(-0.955625\pi\)
0.882845 + 0.469664i \(0.155625\pi\)
\(422\) 0.222846 0.144718i 0.0108480 0.00704476i
\(423\) −0.669720 + 0.257082i −0.0325629 + 0.0124997i
\(424\) −2.15460 + 4.83930i −0.104636 + 0.235017i
\(425\) 13.2562 10.5066i 0.643020 0.509643i
\(426\) 1.99069 + 0.646814i 0.0964492 + 0.0313382i
\(427\) −35.4875 + 4.95154i −1.71736 + 0.239622i
\(428\) −1.32224 1.32224i −0.0639130 0.0639130i
\(429\) 1.54074 12.9254i 0.0743875 0.624044i
\(430\) 0.314565 + 0.0685877i 0.0151697 + 0.00330759i
\(431\) −2.79393 + 26.5825i −0.134579 + 1.28043i 0.693760 + 0.720206i \(0.255953\pi\)
−0.828339 + 0.560227i \(0.810714\pi\)
\(432\) 0.273452 5.21777i 0.0131565 0.251040i
\(433\) 19.6842 + 10.0296i 0.945964 + 0.481993i 0.857726 0.514107i \(-0.171876\pi\)
0.0882379 + 0.996099i \(0.471876\pi\)
\(434\) 9.80469 20.9719i 0.470640 1.00668i
\(435\) 5.40656 4.33143i 0.259225 0.207676i
\(436\) −8.17456 1.73756i −0.391490 0.0832139i
\(437\) −23.0326 14.9575i −1.10180 0.715516i
\(438\) −7.24275 + 5.86506i −0.346072 + 0.280243i
\(439\) 4.24883 7.35919i 0.202786 0.351235i −0.746639 0.665229i \(-0.768334\pi\)
0.949425 + 0.313994i \(0.101667\pi\)
\(440\) −7.34578 + 1.01958i −0.350196 + 0.0486065i
\(441\) 5.99009 + 11.3198i 0.285242 + 0.539040i
\(442\) −12.1216 + 1.91987i −0.576565 + 0.0913190i
\(443\) 0.0773192 1.47534i 0.00367355 0.0700954i −0.996178 0.0873514i \(-0.972160\pi\)
0.999851 + 0.0172560i \(0.00549303\pi\)
\(444\) 7.56099 8.39732i 0.358828 0.398519i
\(445\) −6.71843 + 2.94915i −0.318484 + 0.139803i
\(446\) −3.50422 + 0.368308i −0.165930 + 0.0174399i
\(447\) −6.33922 + 12.4414i −0.299835 + 0.588459i
\(448\) −1.48166 + 2.19196i −0.0700019 + 0.103560i
\(449\) −2.83285 + 3.89909i −0.133691 + 0.184009i −0.870614 0.491967i \(-0.836278\pi\)
0.736923 + 0.675977i \(0.236278\pi\)
\(450\) −3.18863 8.57417i −0.150313 0.404190i
\(451\) 14.1004 + 0.196330i 0.663963 + 0.00924480i
\(452\) −13.4137 3.59419i −0.630928 0.169057i
\(453\) 1.48076 3.85750i 0.0695720 0.181241i
\(454\) −8.07179 + 24.8424i −0.378828 + 1.16591i
\(455\) −19.3944 9.19135i −0.909225 0.430897i
\(456\) 2.87780 2.09085i 0.134766 0.0979129i
\(457\) 20.9681 + 16.9797i 0.980847 + 0.794275i 0.978610 0.205723i \(-0.0659546\pi\)
0.00223714 + 0.999997i \(0.499288\pi\)
\(458\) −0.123766 2.36160i −0.00578322 0.110350i
\(459\) 3.67502 + 17.2896i 0.171535 + 0.807009i
\(460\) 8.39181 + 16.6854i 0.391270 + 0.777962i
\(461\) 31.7437i 1.47845i −0.673457 0.739226i \(-0.735191\pi\)
0.673457 0.739226i \(-0.264809\pi\)
\(462\) 7.79025 + 5.42537i 0.362435 + 0.252411i
\(463\) 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
\(465\) 20.4747 5.37135i 0.949492 0.249090i
\(466\) 0.133548 0.148321i 0.00618651 0.00687081i
\(467\) 14.1959 17.5305i 0.656909 0.811215i −0.334447 0.942415i \(-0.608550\pi\)
0.991356 + 0.131200i \(0.0418829\pi\)
\(468\) −1.03830 + 6.55557i −0.0479954 + 0.303031i
\(469\) 32.5627 + 7.55173i 1.50361 + 0.348706i
\(470\) 0.434391 + 0.761575i 0.0200370 + 0.0351288i
\(471\) −16.7744 + 7.46846i −0.772925 + 0.344128i
\(472\) −2.91953 + 10.8958i −0.134382 + 0.501522i
\(473\) 0.422430 + 0.222700i 0.0194233 + 0.0102398i
\(474\) −8.93923 + 15.4832i −0.410593 + 0.711167i
\(475\) 8.36876 14.1505i 0.383985 0.649271i
\(476\) 2.92240 8.46000i 0.133948 0.387763i
\(477\) −8.63543 4.39997i −0.395389 0.201461i
\(478\) 11.4182 14.1003i 0.522258 0.644935i
\(479\) −10.7948 4.80614i −0.493226 0.219598i 0.145023 0.989428i \(-0.453674\pi\)
−0.638249 + 0.769830i \(0.720341\pi\)
\(480\) −2.40715 + 0.240256i −0.109871 + 0.0109661i
\(481\) −28.1585 + 25.3540i −1.28392 + 1.15604i
\(482\) 1.96889 + 12.4311i 0.0896807 + 0.566221i
\(483\) 6.61268 22.9751i 0.300888 1.04540i
\(484\) −10.9035 1.45395i −0.495613 0.0660887i
\(485\) 3.26646 6.32858i 0.148322 0.287366i
\(486\) 15.4126 + 1.61993i 0.699128 + 0.0734813i
\(487\) 15.1615 23.3466i 0.687032 1.05794i −0.307300 0.951613i \(-0.599425\pi\)
0.994332 0.106324i \(-0.0339079\pi\)
\(488\) 11.3581 7.37601i 0.514155 0.333896i
\(489\) 2.12764 1.54582i 0.0962153 0.0699045i
\(490\) 12.5683 9.32934i 0.567780 0.421457i
\(491\) 10.7737 + 33.1581i 0.486212 + 1.49641i 0.830218 + 0.557438i \(0.188216\pi\)
−0.344007 + 0.938967i \(0.611784\pi\)
\(492\) 4.59361 + 0.240741i 0.207096 + 0.0108534i
\(493\) −6.09678 7.52889i −0.274585 0.339084i
\(494\) −10.3301 + 5.96406i −0.464771 + 0.268336i
\(495\) −1.15946 13.5189i −0.0521141 0.607628i
\(496\) 8.75012i 0.392892i
\(497\) 4.03685 3.14749i 0.181078 0.141184i
\(498\) −2.62039 + 1.33516i −0.117422 + 0.0598297i
\(499\) 2.46306 11.5878i 0.110262 0.518740i −0.888002 0.459839i \(-0.847907\pi\)
0.998264 0.0589010i \(-0.0187596\pi\)
\(500\) −9.76914 + 5.43728i −0.436889 + 0.243162i
\(501\) −14.3716 6.39863i −0.642074 0.285870i
\(502\) −16.6029 25.5663i −0.741025 1.14108i
\(503\) 0.427259 + 0.838543i 0.0190505 + 0.0373888i 0.900336 0.435196i \(-0.143321\pi\)
−0.881285 + 0.472585i \(0.843321\pi\)
\(504\) −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
\(507\) −0.0450020 + 0.167950i −0.00199861 + 0.00745891i
\(508\) −2.74189 + 2.22034i −0.121652 + 0.0985117i
\(509\) 12.6327 + 14.0300i 0.559934 + 0.621870i 0.954937 0.296810i \(-0.0959228\pi\)
−0.395002 + 0.918680i \(0.629256\pi\)
\(510\) 7.65552 2.89275i 0.338992 0.128093i
\(511\) 1.96391 + 22.7070i 0.0868782 + 1.00450i
\(512\) 0.156434 0.987688i 0.00691349 0.0436501i
\(513\) 9.35667 + 14.4080i 0.413107 + 0.636129i
\(514\) −12.8582 + 2.73310i −0.567152 + 0.120552i
\(515\) −33.1042 1.90891i −1.45875 0.0841166i
\(516\) 0.134901 + 0.0778848i 0.00593866 + 0.00342869i
\(517\) 0.319056 + 1.26068i 0.0140321 + 0.0554449i
\(518\) −6.65868 26.8198i −0.292566 1.17840i
\(519\) −5.66275 + 7.79411i −0.248567 + 0.342124i
\(520\) 8.11183 + 0.0425063i 0.355727 + 0.00186403i
\(521\) 6.74614 + 6.07425i 0.295554 + 0.266118i 0.803544 0.595245i \(-0.202945\pi\)
−0.507991 + 0.861363i \(0.669612\pi\)
\(522\) −4.89138 + 1.87762i −0.214090 + 0.0821813i
\(523\) −16.8582 13.6515i −0.737158 0.596939i 0.185461 0.982652i \(-0.440622\pi\)
−0.922619 + 0.385713i \(0.873956\pi\)
\(524\) 6.33206 + 19.4881i 0.276617 + 0.851340i
\(525\) 13.9070 + 3.37919i 0.606952 + 0.147480i
\(526\) 14.5509 + 10.5718i 0.634449 + 0.460954i
\(527\) −7.66143 28.5929i −0.333737 1.24552i
\(528\) −3.53579 0.610592i −0.153876 0.0265726i
\(529\) 40.4998 23.3826i 1.76086 1.01663i
\(530\) −3.71931 + 11.2460i −0.161556 + 0.488495i
\(531\) −19.6279 6.37749i −0.851778 0.276760i
\(532\) −0.294973 8.69423i −0.0127887 0.376943i
\(533\) −15.2348 2.41296i −0.659894 0.104517i
\(534\) −3.53047 + 0.371067i −0.152778 + 0.0160577i
\(535\) −3.23565 2.64837i −0.139889 0.114499i
\(536\) −12.3581 + 2.62679i −0.533788 + 0.113460i
\(537\) 20.0171 + 7.68383i 0.863800 + 0.331582i
\(538\) 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 −0.867450 0.497525i \(-0.834242\pi\)
−0.210704 + 0.977550i \(0.567576\pi\)
\(542\) −3.63785 2.36245i −0.156259 0.101476i
\(543\) 10.8688 0.569610i 0.466425 0.0244443i
\(544\) 0.353618 + 3.36445i 0.0151612 + 0.144250i
\(545\) −18.5744 2.05071i −0.795639 0.0878426i
\(546\) −7.58727 7.08933i −0.324705 0.303395i
\(547\) 6.30122 + 12.3668i 0.269421 + 0.528768i 0.985589 0.169160i \(-0.0541055\pi\)
−0.716168 + 0.697928i \(0.754105\pi\)
\(548\) 14.6915 + 5.63955i 0.627591 + 0.240910i
\(549\) 12.3889 + 21.4582i 0.528746 + 0.915816i
\(550\) −16.1180 + 3.89990i −0.687275 + 0.166292i
\(551\) −8.15439 4.70794i −0.347389 0.200565i
\(552\) 1.41359 + 8.92505i 0.0601664 + 0.379876i
\(553\) 19.1278 + 39.3168i 0.813397 + 1.67192i
\(554\) −1.30375 + 0.423613i −0.0553909 + 0.0179976i
\(555\) 14.9584 20.3633i 0.634950 0.864373i
\(556\) −3.53617 + 7.94238i −0.149967 + 0.336832i
\(557\) −1.43121 27.3091i −0.0606423 1.15712i −0.844279 0.535904i \(-0.819971\pi\)
0.783637 0.621219i \(-0.213362\pi\)
\(558\) −15.9871 0.837847i −0.676787 0.0354689i
\(559\) −0.422580 0.307022i −0.0178732 0.0129857i
\(560\) −2.80993 + 5.20618i −0.118741 + 0.220001i
\(561\) 12.0886 1.10063i 0.510380 0.0464687i
\(562\) −1.30654 4.87607i −0.0551130 0.205685i
\(563\) 12.0608 + 14.8938i 0.508300 + 0.627698i 0.965103 0.261870i \(-0.0843390\pi\)
−0.456803 + 0.889568i \(0.651006\pi\)
\(564\) 0.0881945 + 0.414923i 0.00371366 + 0.0174714i
\(565\) −30.6439 5.01825i −1.28920 0.211119i
\(566\) −7.94976 10.9419i −0.334153 0.459923i
\(567\) −0.279101 + 0.331950i −0.0117211 + 0.0139406i
\(568\) −0.878360 + 1.72388i −0.0368551 + 0.0723323i
\(569\) −5.57924 + 5.02357i −0.233894 + 0.210599i −0.777740 0.628586i \(-0.783634\pi\)
0.543846 + 0.839185i \(0.316967\pi\)
\(570\) 5.93882 5.29126i 0.248750 0.221626i
\(571\) −12.3230 21.3440i −0.515700 0.893219i −0.999834 0.0182250i \(-0.994198\pi\)
0.484134 0.874994i \(-0.339135\pi\)
\(572\) 11.5775 + 3.27560i 0.484079 + 0.136960i
\(573\) −10.0458 + 10.0458i −0.419669 + 0.419669i
\(574\) 6.77893 8.97740i 0.282947 0.374709i
\(575\) 22.3773 + 35.2617i 0.933199 + 1.47051i
\(576\) 1.78960 + 0.380390i 0.0745665 + 0.0158496i
\(577\) −3.26525 8.50627i −0.135934 0.354121i 0.848669 0.528924i \(-0.177404\pi\)
−0.984603 + 0.174803i \(0.944071\pi\)
\(578\) 1.99089 + 5.18644i 0.0828099 + 0.215727i
\(579\) −6.69317 1.42268i −0.278159 0.0591245i
\(580\) 3.17262 + 5.56225i 0.131736 + 0.230960i
\(581\) −0.883592 + 7.13773i −0.0366576 + 0.296123i
\(582\) 2.43649 2.43649i 0.100996 0.100996i
\(583\) −9.77302 + 14.6000i −0.404757 + 0.604671i
\(584\) −4.30724 7.46036i −0.178235 0.308712i
\(585\) −0.854391 + 14.8168i −0.0353247 + 0.612599i
\(586\) 7.54167 6.79055i 0.311543 0.280515i
\(587\) −9.59888 + 18.8389i −0.396188 + 0.777563i −0.999806 0.0197107i \(-0.993725\pi\)
0.603617 + 0.797274i \(0.293725\pi\)
\(588\) 7.16532 2.45132i 0.295493 0.101091i
\(589\) −16.9108 23.2758i −0.696798 0.959061i
\(590\) −4.07628 + 24.8917i −0.167818 + 1.02478i
\(591\) −5.77018 27.1466i −0.237354 1.11666i
\(592\) 6.57306 + 8.11706i 0.270151 + 0.333609i
\(593\) 3.37727 + 12.6041i 0.138688 + 0.517590i 0.999955 + 0.00943813i \(0.00300430\pi\)
−0.861268 + 0.508151i \(0.830329\pi\)
\(594\) 3.83857 16.8986i 0.157498 0.693360i
\(595\) 4.62361 19.4726i 0.189550 0.798299i
\(596\) −10.4418 7.58641i −0.427712 0.310751i
\(597\) 0.748578 + 0.0392313i 0.0306373 + 0.00160563i
\(598\) −1.58584 30.2596i −0.0648498 1.23741i
\(599\) 5.18456 11.6447i 0.211836 0.475790i −0.776109 0.630599i \(-0.782809\pi\)
0.987945 + 0.154808i \(0.0494760\pi\)
\(600\) −5.30259 + 1.06915i −0.216478 + 0.0436477i
\(601\) 24.8176 8.06372i 1.01233 0.328926i 0.244548 0.969637i \(-0.421360\pi\)
0.767782 + 0.640711i \(0.221360\pi\)
\(602\) 0.342555 0.166655i 0.0139615 0.00679234i
\(603\) −3.61601 22.8306i −0.147255 0.929734i
\(604\) 3.30760 + 1.90964i 0.134584 + 0.0777024i
\(605\) −24.5833 0.813648i −0.999453 0.0330795i
\(606\) −2.21127 3.83003i −0.0898268 0.155585i
\(607\) 15.9700 + 6.13032i 0.648204 + 0.248822i 0.660182 0.751106i \(-0.270479\pi\)
−0.0119776 + 0.999928i \(0.503813\pi\)
\(608\) 1.49272 + 2.92963i 0.0605379 + 0.118812i
\(609\) 1.85182 7.98497i 0.0750396 0.323567i
\(610\) 23.6338 18.9341i 0.956905 0.766619i
\(611\) −0.148684 1.41464i −0.00601513 0.0572301i
\(612\) −6.18094 + 0.323930i −0.249850 + 0.0130941i
\(613\) −39.3193 25.5343i −1.58809 1.03132i −0.969337 0.245736i \(-0.920970\pi\)
−0.618756 0.785583i \(-0.712363\pi\)
\(614\) 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 \(0.430213\pi\)
\(618\) −14.9776 5.74936i −0.602488 0.231273i
\(619\) −24.8377 + 5.27941i −0.998310 + 0.212197i −0.677958 0.735101i \(-0.737135\pi\)
−0.320353 + 0.947298i \(0.603801\pi\)
\(620\) 1.94320 + 19.4691i 0.0780407 + 0.781899i
\(621\) −43.4025 + 4.56178i −1.74168 + 0.183058i
\(622\) 11.2084 + 1.77524i 0.449416 + 0.0711805i
\(623\) −4.08333 + 7.66128i −0.163595 + 0.306943i
\(624\) 3.73265 + 1.21281i 0.149426 + 0.0485514i
\(625\) −20.5290 + 14.2675i −0.821158 + 0.570700i
\(626\) −1.90906 + 1.10220i −0.0763015 + 0.0440527i
\(627\) 10.5854 5.20921i 0.422742 0.208036i
\(628\) −4.39281 16.3942i −0.175292 0.654199i
\(629\) −28.5860 20.7689i −1.13980 0.828112i
\(630\) −9.24299 5.63244i −0.368249 0.224402i
\(631\) −0.593425 1.82637i −0.0236239 0.0727068i 0.938550 0.345145i \(-0.112170\pi\)
−0.962173 + 0.272438i \(0.912170\pi\)
\(632\) −12.8429 10.3999i −0.510861 0.413687i
\(633\) 0.268372 0.103018i 0.0106668 0.00409461i
\(634\) 10.1754 + 9.16199i 0.404117 + 0.363869i
\(635\) −5.60766 + 5.54920i −0.222533 + 0.220213i
\(636\) −3.36855 + 4.63641i −0.133572 + 0.183846i
\(637\) −24.7548 + 5.66339i −0.980822 + 0.224392i
\(638\) 2.33026 + 9.20755i 0.0922558 + 0.364530i
\(639\) −3.06554 1.76989i −0.121271 0.0700157i
\(640\) 0.128726 2.23236i 0.00508834 0.0882418i
\(641\) −1.50568 + 0.320042i −0.0594708 + 0.0126409i −0.237551 0.971375i \(-0.576345\pi\)
0.178080 + 0.984016i \(0.443011\pi\)
\(642\) −1.10181 1.69664i −0.0434850 0.0669610i
\(643\) 3.45598 21.8202i 0.136291 0.860505i −0.820905 0.571064i \(-0.806531\pi\)
0.957196 0.289441i \(-0.0934694\pi\)
\(644\) 20.0190 + 9.35922i 0.788860 + 0.368805i
\(645\) 0.317452 + 0.143337i 0.0124997 + 0.00564387i
\(646\) −7.44291 8.26619i −0.292837 0.325229i
\(647\) 12.8392 10.3970i 0.504762 0.408748i −0.342829 0.939398i \(-0.611385\pi\)
0.847591 + 0.530649i \(0.178052\pi\)
\(648\) 0.0424256 0.158334i 0.00166663 0.00621996i
\(649\) −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
\(652\) 1.10361 + 2.16596i 0.0432208 + 0.0848256i
\(653\) −1.29886 2.00007i −0.0508283 0.0782687i 0.812343 0.583180i \(-0.198192\pi\)
−0.863171 + 0.504911i \(0.831525\pi\)
\(654\) −8.25965 3.67743i −0.322978 0.143799i
\(655\) 18.4168 + 41.9550i 0.719602 + 1.63932i
\(656\) −0.884009 + 4.15894i −0.0345148 + 0.162379i
\(657\) 14.0430 7.15528i 0.547871 0.279154i
\(658\) 0.961461 + 0.389566i 0.0374817 + 0.0151868i
\(659\) 4.91779i 0.191570i −0.995402 0.0957850i \(-0.969464\pi\)
0.995402 0.0957850i \(-0.0305361\pi\)
\(660\) −8.00278 0.573358i −0.311508 0.0223179i
\(661\) 1.06702 0.616046i 0.0415024 0.0239614i −0.479105 0.877757i \(-0.659039\pi\)
0.520608 + 0.853796i \(0.325705\pi\)
\(662\) 3.15515 + 3.89629i 0.122628 + 0.151433i
\(663\) −13.2591 0.694882i −0.514943 0.0269870i
\(664\) −0.840032 2.58535i −0.0325996 0.100331i
\(665\) −2.58711 19.2793i −0.100324 0.747618i
\(666\) −15.4598 + 11.2322i −0.599056 + 0.435239i
\(667\) 20.0604 13.0274i 0.776742 0.504422i
\(668\) 7.91974 12.1953i 0.306424 0.471852i
\(669\) −3.79108 0.398459i −0.146572 0.0154053i
\(670\) −26.9136 + 8.58910i −1.03976 + 0.331826i
\(671\) 41.2840 17.6963i 1.59375 0.683157i
\(672\) −2.06096 + 1.98630i −0.0795034 + 0.0766232i
\(673\) −7.15004 45.1436i −0.275614 1.74016i −0.605237 0.796045i \(-0.706922\pi\)
0.329623 0.944113i \(-0.393078\pi\)
\(674\) −18.1287 + 16.3232i −0.698292 + 0.628745i
\(675\) −3.81616 25.8444i −0.146884 0.994753i
\(676\) −0.146823 0.0653698i −0.00564704 0.00251422i
\(677\) 26.1016 32.2328i 1.00316 1.23881i 0.0322253 0.999481i \(-0.489741\pi\)
0.970940 0.239325i \(-0.0769261\pi\)
\(678\) −13.3862 6.82061i −0.514094 0.261944i
\(679\) −1.59968 8.27345i −0.0613900 0.317506i
\(680\) 1.53397 + 7.40742i 0.0588251 + 0.284061i
\(681\) −14.1296 + 24.4731i −0.541446 + 0.937812i
\(682\) −4.93849 + 28.5976i −0.189104 + 1.09506i
\(683\) −8.07592 + 30.1397i −0.309016 + 1.15327i 0.620416 + 0.784273i \(0.286964\pi\)
−0.929432 + 0.368992i \(0.879703\pi\)
\(684\) −5.49557 + 2.44679i −0.210128 + 0.0935552i
\(685\) 33.9413 + 9.28543i 1.29683 + 0.354778i
\(686\) 4.84662 17.8749i 0.185045 0.682465i
\(687\) 0.400227 2.52693i 0.0152696 0.0964086i
\(688\) −0.0906115 + 0.111896i −0.00345453 + 0.00426599i
\(689\) 12.8589 14.2812i 0.489885 0.544072i
\(690\) 5.12730 + 19.5444i 0.195193 + 0.744044i
\(691\) −20.0144 44.9531i −0.761385 1.71010i −0.702339 0.711842i \(-0.747861\pi\)
−0.0590453 0.998255i \(-0.518806\pi\)
\(692\) −6.29684 6.29684i −0.239370 0.239370i
\(693\) −10.9789 11.7137i −0.417054 0.444965i
\(694\) 13.8136i 0.524356i
\(695\) −6.10422 + 18.4572i −0.231546 + 0.700121i
\(696\) 0.644138 + 3.03043i 0.0244160 + 0.114868i
\(697\) −0.752797 14.3642i −0.0285142 0.544084i
\(698\) 15.8171 + 12.8084i 0.598687 + 0.484807i
\(699\) 0.174686 0.126916i 0.00660721 0.00480042i
\(700\) −5.09596 + 12.2078i −0.192609 + 0.461413i
\(701\) −4.83949 + 14.8944i −0.182785 + 0.562554i −0.999903 0.0139158i \(-0.995570\pi\)
0.817118 + 0.576470i \(0.195570\pi\)
\(702\) −6.79281 + 17.6959i −0.256378 + 0.667888i
\(703\) −33.1720 8.88842i −1.25111 0.335233i
\(704\) 1.06871 3.13972i 0.0402785 0.118333i
\(705\) 0.288379 + 0.903622i 0.0108610 + 0.0340324i
\(706\) −5.23810 + 7.20963i −0.197139 + 0.271338i
\(707\) −10.7885 0.765160i −0.405742 0.0287768i
\(708\) −5.54032 + 10.8735i −0.208218 + 0.408651i
\(709\) 42.3568 4.45188i 1.59074 0.167194i 0.732619 0.680638i \(-0.238298\pi\)
0.858123 + 0.513445i \(0.171631\pi\)
\(710\) −1.57153 + 4.03071i −0.0589784 + 0.151270i
\(711\) 20.2311 22.4690i 0.758727 0.842652i
\(712\) 0.171730 3.27681i 0.00643587 0.122804i
\(713\) 72.1861 11.4331i 2.70339 0.428175i
\(714\) 4.99547 8.29520i 0.186951 0.310440i
\(715\) 26.4875 + 4.71716i 0.990576 + 0.176412i
\(716\) −9.90939 + 17.1636i −0.370331 + 0.641433i
\(717\) 15.2546 12.3529i 0.569694 0.461329i
\(718\) −14.2075 9.22643i −0.530218 0.344327i
\(719\) 6.09851 + 1.29628i 0.227436 + 0.0483431i 0.320220 0.947343i \(-0.396243\pi\)
−0.0927837 + 0.995686i \(0.529577\pi\)
\(720\) 4.06635 + 0.448946i 0.151544 + 0.0167312i
\(721\) −32.1613 + 22.4721i −1.19775 + 0.836904i
\(722\) 7.29649 + 3.71775i 0.271547 + 0.138360i
\(723\) −0.712626 + 13.5977i −0.0265028 + 0.505704i
\(724\) −1.05157 + 10.0051i −0.0390815 + 0.371835i
\(725\) 8.29437 + 11.6715i 0.308045 + 0.433469i
\(726\) −11.2112 3.99114i −0.416088 0.148125i
\(727\) 20.3187 + 20.3187i 0.753580 + 0.753580i 0.975145 0.221566i \(-0.0711167\pi\)
−0.221566 + 0.975145i \(0.571117\pi\)
\(728\) 7.56933 5.90172i 0.280538 0.218732i
\(729\) 16.4132 + 5.33297i 0.607896 + 0.197517i
\(730\) −11.2404 15.6429i −0.416027 0.578968i
\(731\) 0.198118 0.444981i 0.00732767 0.0164582i
\(732\) 13.6784 5.25066i 0.505569 0.194070i
\(733\) −10.0186 + 6.50615i −0.370045 + 0.240310i −0.716242 0.697852i \(-0.754140\pi\)
0.346197 + 0.938162i \(0.387473\pi\)
\(734\) −1.51213 + 4.65385i −0.0558136 + 0.171777i
\(735\) 15.3985 7.04548i 0.567984 0.259876i
\(736\) −8.35256 −0.307879
\(737\) −41.8719 + 1.61023i −1.54237 + 0.0593135i
\(738\) −7.51402 2.01338i −0.276595 0.0741134i
\(739\) 2.05989 + 0.216504i 0.0757744 + 0.00796421i 0.142340 0.989818i \(-0.454537\pi\)
−0.0665654 + 0.997782i \(0.521204\pi\)
\(740\) 16.4278 + 16.6008i 0.603896 + 0.610259i
\(741\) −12.2730 + 3.98773i −0.450859 + 0.146493i
\(742\) 4.78044 + 13.1748i 0.175495 + 0.483662i
\(743\) 5.19136 + 0.822230i 0.190452 + 0.0301647i 0.250932 0.968005i \(-0.419263\pi\)
−0.0604795 + 0.998169i \(0.519263\pi\)
\(744\) −1.96818 + 9.25955i −0.0721569 + 0.339472i
\(745\) −24.9179 14.5610i −0.912921 0.533473i
\(746\) 2.84439 27.0626i 0.104140 0.990831i
\(747\) 4.80405 1.28724i 0.175771 0.0470977i
\(748\) −0.743153 + 11.1954i −0.0271723 + 0.409346i
\(749\) −4.94654 0.0912513i −0.180743 0.00333425i
\(750\) −11.5609 + 3.55645i −0.422145 + 0.129863i
\(751\) −30.9316 34.3530i −1.12871 1.25356i −0.963619 0.267281i \(-0.913875\pi\)
−0.165091 0.986278i \(-0.552792\pi\)
\(752\) −0.391558 + 0.0205207i −0.0142786 + 0.000748312i
\(753\) −11.8189 30.7893i −0.430704 1.12202i
\(754\) −1.08593 10.3320i −0.0395473 0.376268i
\(755\) 7.78354 + 3.51444i 0.283272 + 0.127904i
\(756\) −9.05892 10.4420i −0.329470 0.379772i
\(757\) −1.24517 + 0.197216i −0.0452566 + 0.00716795i −0.179022 0.983845i \(-0.557293\pi\)
0.133765 + 0.991013i \(0.457293\pi\)
\(758\) −32.5341 + 8.71747i −1.18169 + 0.316633i
\(759\) −0.417252 + 29.9671i −0.0151453 + 1.08774i
\(760\) 3.97193 + 6.18697i 0.144077 + 0.224425i
\(761\) 12.3654 + 27.7732i 0.448246 + 1.00678i 0.986465 + 0.163971i \(0.0524305\pi\)
−0.538219 + 0.842805i \(0.680903\pi\)
\(762\) −3.40095 + 1.73287i −0.123203 + 0.0627753i
\(763\) −18.7628 + 11.6985i −0.679260 + 0.423512i
\(764\) −7.71873 10.6239i −0.279254 0.384360i
\(765\) −13.6807 + 2.09339i −0.494628 + 0.0756867i
\(766\) −13.9602 12.5698i −0.504401 0.454165i
\(767\) 22.2877 34.3201i 0.804763 1.23923i
\(768\) 0.387704 1.01000i 0.0139901 0.0364454i
\(769\) −44.7153 −1.61247 −0.806237 0.591592i \(-0.798499\pi\)
−0.806237 + 0.591592i \(0.798499\pi\)
\(770\) −12.1219 + 15.4292i −0.436842 + 0.556030i
\(771\) −14.2216 −0.512178