Properties

Label 273.2.cd.e.44.7
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 44.7
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.87036 + 0.501163i) q^{2} +(1.45895 + 0.933521i) q^{3} +(1.51505 - 0.874714i) q^{4} +(-1.33892 + 0.358762i) q^{5} +(-3.19662 - 1.01485i) q^{6} +(1.90555 - 1.83545i) q^{7} +(0.343083 - 0.343083i) q^{8} +(1.25708 + 2.72392i) q^{9} +O(q^{10})\) \(q+(-1.87036 + 0.501163i) q^{2} +(1.45895 + 0.933521i) q^{3} +(1.51505 - 0.874714i) q^{4} +(-1.33892 + 0.358762i) q^{5} +(-3.19662 - 1.01485i) q^{6} +(1.90555 - 1.83545i) q^{7} +(0.343083 - 0.343083i) q^{8} +(1.25708 + 2.72392i) q^{9} +(2.32447 - 1.34203i) q^{10} +(2.28763 + 0.612968i) q^{11} +(3.02695 + 0.138165i) q^{12} +(2.20676 + 2.85135i) q^{13} +(-2.64421 + 4.38795i) q^{14} +(-2.28833 - 0.726491i) q^{15} +(-2.21918 + 3.84373i) q^{16} +(1.10119 + 1.90732i) q^{17} +(-3.71632 - 4.46473i) q^{18} +(-1.11846 - 4.17416i) q^{19} +(-1.71471 + 1.71471i) q^{20} +(4.49354 - 0.898964i) q^{21} -4.58590 q^{22} +(-0.362760 + 0.628318i) q^{23} +(0.820816 - 0.180266i) q^{24} +(-2.66614 + 1.53929i) q^{25} +(-5.55644 - 4.22712i) q^{26} +(-0.708822 + 5.14758i) q^{27} +(1.28151 - 4.44761i) q^{28} +4.61440i q^{29} +(4.64410 + 0.211979i) q^{30} +(5.52871 + 1.48141i) q^{31} +(1.97318 - 7.36403i) q^{32} +(2.76532 + 3.02984i) q^{33} +(-3.01551 - 3.01551i) q^{34} +(-1.89288 + 3.14116i) q^{35} +(4.28719 + 3.02729i) q^{36} +(-4.96920 + 1.33149i) q^{37} +(4.18386 + 7.24666i) q^{38} +(0.557758 + 6.22004i) q^{39} +(-0.336275 + 0.582445i) q^{40} +(6.19631 + 6.19631i) q^{41} +(-7.95402 + 3.93338i) q^{42} -1.48686i q^{43} +(4.00204 - 1.07234i) q^{44} +(-2.66036 - 3.19612i) q^{45} +(0.363603 - 1.35699i) q^{46} +(-1.11365 - 4.15620i) q^{47} +(-6.82587 + 3.53617i) q^{48} +(0.262239 - 6.99509i) q^{49} +(4.21521 - 4.21521i) q^{50} +(-0.173938 + 3.81068i) q^{51} +(5.83747 + 2.38966i) q^{52} +(10.3415 - 5.97064i) q^{53} +(-1.25402 - 9.98309i) q^{54} -3.28286 q^{55} +(0.0240496 - 1.28347i) q^{56} +(2.26488 - 7.13400i) q^{57} +(-2.31257 - 8.63061i) q^{58} +(-7.06192 - 1.89224i) q^{59} +(-4.10240 + 0.900963i) q^{60} +(4.17980 - 7.23963i) q^{61} -11.0831 q^{62} +(7.39505 + 2.88326i) q^{63} +5.88559i q^{64} +(-3.97763 - 3.02603i) q^{65} +(-6.69060 - 4.28103i) q^{66} +(0.579944 + 0.155395i) q^{67} +(3.33672 + 1.92646i) q^{68} +(-1.11580 + 0.578042i) q^{69} +(1.96615 - 6.82375i) q^{70} +(-10.8703 - 10.8703i) q^{71} +(1.36581 + 0.503249i) q^{72} +(-2.05058 + 7.65287i) q^{73} +(8.62693 - 4.98076i) q^{74} +(-5.32673 - 0.243137i) q^{75} +(-5.34572 - 5.34572i) q^{76} +(5.48426 - 3.03079i) q^{77} +(-4.16046 - 11.3542i) q^{78} +(3.29571 - 5.70834i) q^{79} +(1.59231 - 5.94260i) q^{80} +(-5.83951 + 6.84837i) q^{81} +(-14.6947 - 8.48400i) q^{82} +(-1.03740 - 1.03740i) q^{83} +(6.02159 - 5.29253i) q^{84} +(-2.15868 - 2.15868i) q^{85} +(0.745157 + 2.78097i) q^{86} +(-4.30764 + 6.73219i) q^{87} +(0.995145 - 0.574547i) q^{88} +(-2.90393 - 10.8376i) q^{89} +(6.57763 + 4.64463i) q^{90} +(9.43861 + 1.38300i) q^{91} +1.26924i q^{92} +(6.68319 + 7.32247i) q^{93} +(4.16587 + 7.21549i) q^{94} +(2.99506 + 5.18759i) q^{95} +(9.75325 - 8.90175i) q^{96} +(-0.431627 + 0.431627i) q^{97} +(3.01519 + 13.2148i) q^{98} +(1.20605 + 7.00187i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.87036 + 0.501163i −1.32255 + 0.354376i −0.849932 0.526893i \(-0.823357\pi\)
−0.472616 + 0.881268i \(0.656690\pi\)
\(3\) 1.45895 + 0.933521i 0.842326 + 0.538968i
\(4\) 1.51505 0.874714i 0.757525 0.437357i
\(5\) −1.33892 + 0.358762i −0.598782 + 0.160443i −0.545464 0.838134i \(-0.683647\pi\)
−0.0533184 + 0.998578i \(0.516980\pi\)
\(6\) −3.19662 1.01485i −1.30501 0.414312i
\(7\) 1.90555 1.83545i 0.720230 0.693735i
\(8\) 0.343083 0.343083i 0.121298 0.121298i
\(9\) 1.25708 + 2.72392i 0.419026 + 0.907974i
\(10\) 2.32447 1.34203i 0.735061 0.424388i
\(11\) 2.28763 + 0.612968i 0.689746 + 0.184817i 0.586633 0.809853i \(-0.300453\pi\)
0.103113 + 0.994670i \(0.467120\pi\)
\(12\) 3.02695 + 0.138165i 0.873805 + 0.0398847i
\(13\) 2.20676 + 2.85135i 0.612045 + 0.790823i
\(14\) −2.64421 + 4.38795i −0.706696 + 1.17273i
\(15\) −2.28833 0.726491i −0.590844 0.187579i
\(16\) −2.21918 + 3.84373i −0.554795 + 0.960932i
\(17\) 1.10119 + 1.90732i 0.267078 + 0.462593i 0.968106 0.250541i \(-0.0806084\pi\)
−0.701028 + 0.713134i \(0.747275\pi\)
\(18\) −3.71632 4.46473i −0.875946 1.05235i
\(19\) −1.11846 4.17416i −0.256593 0.957617i −0.967197 0.254026i \(-0.918245\pi\)
0.710605 0.703591i \(-0.248421\pi\)
\(20\) −1.71471 + 1.71471i −0.383421 + 0.383421i
\(21\) 4.49354 0.898964i 0.980570 0.196170i
\(22\) −4.58590 −0.977716
\(23\) −0.362760 + 0.628318i −0.0756406 + 0.131013i −0.901365 0.433061i \(-0.857434\pi\)
0.825724 + 0.564074i \(0.190767\pi\)
\(24\) 0.820816 0.180266i 0.167548 0.0367967i
\(25\) −2.66614 + 1.53929i −0.533227 + 0.307859i
\(26\) −5.55644 4.22712i −1.08971 0.829007i
\(27\) −0.708822 + 5.14758i −0.136413 + 0.990652i
\(28\) 1.28151 4.44761i 0.242182 0.840519i
\(29\) 4.61440i 0.856873i 0.903572 + 0.428436i \(0.140935\pi\)
−0.903572 + 0.428436i \(0.859065\pi\)
\(30\) 4.64410 + 0.211979i 0.847893 + 0.0387019i
\(31\) 5.52871 + 1.48141i 0.992985 + 0.266070i 0.718504 0.695523i \(-0.244827\pi\)
0.274481 + 0.961592i \(0.411494\pi\)
\(32\) 1.97318 7.36403i 0.348813 1.30179i
\(33\) 2.76532 + 3.02984i 0.481380 + 0.527427i
\(34\) −3.01551 3.01551i −0.517156 0.517156i
\(35\) −1.89288 + 3.14116i −0.319956 + 0.530952i
\(36\) 4.28719 + 3.02729i 0.714532 + 0.504549i
\(37\) −4.96920 + 1.33149i −0.816932 + 0.218896i −0.643005 0.765862i \(-0.722312\pi\)
−0.173927 + 0.984758i \(0.555646\pi\)
\(38\) 4.18386 + 7.24666i 0.678712 + 1.17556i
\(39\) 0.557758 + 6.22004i 0.0893127 + 0.996004i
\(40\) −0.336275 + 0.582445i −0.0531697 + 0.0920926i
\(41\) 6.19631 + 6.19631i 0.967701 + 0.967701i 0.999494 0.0317931i \(-0.0101218\pi\)
−0.0317931 + 0.999494i \(0.510122\pi\)
\(42\) −7.95402 + 3.93338i −1.22733 + 0.606934i
\(43\) 1.48686i 0.226744i −0.993553 0.113372i \(-0.963835\pi\)
0.993553 0.113372i \(-0.0361651\pi\)
\(44\) 4.00204 1.07234i 0.603331 0.161662i
\(45\) −2.66036 3.19612i −0.396584 0.476449i
\(46\) 0.363603 1.35699i 0.0536104 0.200077i
\(47\) −1.11365 4.15620i −0.162443 0.606244i −0.998353 0.0573775i \(-0.981726\pi\)
0.835910 0.548867i \(-0.184941\pi\)
\(48\) −6.82587 + 3.53617i −0.985230 + 0.510402i
\(49\) 0.262239 6.99509i 0.0374627 0.999298i
\(50\) 4.21521 4.21521i 0.596121 0.596121i
\(51\) −0.173938 + 3.81068i −0.0243561 + 0.533601i
\(52\) 5.83747 + 2.38966i 0.809511 + 0.331386i
\(53\) 10.3415 5.97064i 1.42051 0.820130i 0.424166 0.905585i \(-0.360567\pi\)
0.996342 + 0.0854542i \(0.0272341\pi\)
\(54\) −1.25402 9.98309i −0.170650 1.35853i
\(55\) −3.28286 −0.442660
\(56\) 0.0240496 1.28347i 0.00321377 0.171511i
\(57\) 2.26488 7.13400i 0.299991 0.944921i
\(58\) −2.31257 8.63061i −0.303655 1.13326i
\(59\) −7.06192 1.89224i −0.919384 0.246348i −0.232062 0.972701i \(-0.574547\pi\)
−0.687322 + 0.726353i \(0.741214\pi\)
\(60\) −4.10240 + 0.900963i −0.529618 + 0.116314i
\(61\) 4.17980 7.23963i 0.535169 0.926939i −0.463987 0.885842i \(-0.653581\pi\)
0.999155 0.0410969i \(-0.0130852\pi\)
\(62\) −11.0831 −1.40756
\(63\) 7.39505 + 2.88326i 0.931689 + 0.363257i
\(64\) 5.88559i 0.735699i
\(65\) −3.97763 3.02603i −0.493364 0.375332i
\(66\) −6.69060 4.28103i −0.823556 0.526958i
\(67\) 0.579944 + 0.155395i 0.0708514 + 0.0189846i 0.294071 0.955784i \(-0.404990\pi\)
−0.223219 + 0.974768i \(0.571657\pi\)
\(68\) 3.33672 + 1.92646i 0.404637 + 0.233617i
\(69\) −1.11580 + 0.578042i −0.134326 + 0.0695881i
\(70\) 1.96615 6.82375i 0.235000 0.815595i
\(71\) −10.8703 10.8703i −1.29007 1.29007i −0.934743 0.355324i \(-0.884371\pi\)
−0.355324 0.934743i \(-0.615629\pi\)
\(72\) 1.36581 + 0.503249i 0.160963 + 0.0593085i
\(73\) −2.05058 + 7.65287i −0.240002 + 0.895701i 0.735828 + 0.677169i \(0.236793\pi\)
−0.975830 + 0.218532i \(0.929873\pi\)
\(74\) 8.62693 4.98076i 1.00286 0.579002i
\(75\) −5.32673 0.243137i −0.615077 0.0280751i
\(76\) −5.34572 5.34572i −0.613196 0.613196i
\(77\) 5.48426 3.03079i 0.624990 0.345390i
\(78\) −4.16046 11.3542i −0.471080 1.28561i
\(79\) 3.29571 5.70834i 0.370797 0.642239i −0.618892 0.785476i \(-0.712418\pi\)
0.989688 + 0.143238i \(0.0457513\pi\)
\(80\) 1.59231 5.94260i 0.178026 0.664402i
\(81\) −5.83951 + 6.84837i −0.648834 + 0.760930i
\(82\) −14.6947 8.48400i −1.62276 0.936901i
\(83\) −1.03740 1.03740i −0.113869 0.113869i 0.647876 0.761746i \(-0.275657\pi\)
−0.761746 + 0.647876i \(0.775657\pi\)
\(84\) 6.02159 5.29253i 0.657010 0.577463i
\(85\) −2.15868 2.15868i −0.234142 0.234142i
\(86\) 0.745157 + 2.78097i 0.0803524 + 0.299879i
\(87\) −4.30764 + 6.73219i −0.461827 + 0.721766i
\(88\) 0.995145 0.574547i 0.106083 0.0612469i
\(89\) −2.90393 10.8376i −0.307816 1.14879i −0.930494 0.366308i \(-0.880622\pi\)
0.622677 0.782479i \(-0.286045\pi\)
\(90\) 6.57763 + 4.64463i 0.693343 + 0.489587i
\(91\) 9.43861 + 1.38300i 0.989435 + 0.144977i
\(92\) 1.26924i 0.132328i
\(93\) 6.68319 + 7.32247i 0.693014 + 0.759305i
\(94\) 4.16587 + 7.21549i 0.429676 + 0.744221i
\(95\) 2.99506 + 5.18759i 0.307286 + 0.532236i
\(96\) 9.75325 8.90175i 0.995437 0.908531i
\(97\) −0.431627 + 0.431627i −0.0438250 + 0.0438250i −0.728680 0.684855i \(-0.759866\pi\)
0.684855 + 0.728680i \(0.259866\pi\)
\(98\) 3.01519 + 13.2148i 0.304581 + 1.33490i
\(99\) 1.20605 + 7.00187i 0.121213 + 0.703715i
\(100\) −2.69289 + 4.66421i −0.269289 + 0.466421i
\(101\) −9.65337 16.7201i −0.960546 1.66371i −0.721133 0.692797i \(-0.756378\pi\)
−0.239413 0.970918i \(-0.576955\pi\)
\(102\) −1.58444 7.21453i −0.156883 0.714344i
\(103\) 16.9974 + 9.81345i 1.67480 + 0.966948i 0.964888 + 0.262662i \(0.0846003\pi\)
0.709916 + 0.704287i \(0.248733\pi\)
\(104\) 1.73535 + 0.221149i 0.170165 + 0.0216854i
\(105\) −5.69396 + 2.81575i −0.555674 + 0.274789i
\(106\) −16.3500 + 16.3500i −1.58805 + 1.58805i
\(107\) −4.79758 2.76988i −0.463800 0.267775i 0.249841 0.968287i \(-0.419622\pi\)
−0.713641 + 0.700512i \(0.752955\pi\)
\(108\) 3.42876 + 8.41885i 0.329933 + 0.810105i
\(109\) −11.6405 3.11906i −1.11496 0.298752i −0.346117 0.938192i \(-0.612500\pi\)
−0.768842 + 0.639439i \(0.779167\pi\)
\(110\) 6.14014 1.64525i 0.585439 0.156868i
\(111\) −8.49281 2.69627i −0.806101 0.255919i
\(112\) 2.82622 + 11.3976i 0.267053 + 1.07697i
\(113\) 13.5251i 1.27234i 0.771549 + 0.636169i \(0.219482\pi\)
−0.771549 + 0.636169i \(0.780518\pi\)
\(114\) −0.660857 + 14.4783i −0.0618950 + 1.35601i
\(115\) 0.260289 0.971411i 0.0242721 0.0905846i
\(116\) 4.03628 + 6.99105i 0.374759 + 0.649102i
\(117\) −4.99280 + 9.59542i −0.461584 + 0.887096i
\(118\) 14.1567 1.30323
\(119\) 5.59917 + 1.61331i 0.513275 + 0.147892i
\(120\) −1.03433 + 0.535839i −0.0944212 + 0.0489152i
\(121\) −4.66877 2.69551i −0.424433 0.245047i
\(122\) −4.18952 + 15.6355i −0.379301 + 1.41557i
\(123\) 3.25573 + 14.8245i 0.293560 + 1.33668i
\(124\) 9.67208 2.59163i 0.868579 0.232735i
\(125\) 7.91828 7.91828i 0.708232 0.708232i
\(126\) −15.2764 1.68663i −1.36093 0.150257i
\(127\) 4.52614i 0.401630i 0.979629 + 0.200815i \(0.0643590\pi\)
−0.979629 + 0.200815i \(0.935641\pi\)
\(128\) 0.996732 + 3.71985i 0.0880995 + 0.328792i
\(129\) 1.38801 2.16925i 0.122208 0.190992i
\(130\) 8.95615 + 3.66633i 0.785506 + 0.321559i
\(131\) 9.71563 + 5.60932i 0.848859 + 0.490089i 0.860266 0.509846i \(-0.170298\pi\)
−0.0114069 + 0.999935i \(0.503631\pi\)
\(132\) 6.83984 + 2.17149i 0.595332 + 0.189004i
\(133\) −9.79274 5.90118i −0.849139 0.511697i
\(134\) −1.16258 −0.100432
\(135\) −0.897701 7.14649i −0.0772618 0.615072i
\(136\) 1.03217 + 0.276569i 0.0885078 + 0.0237156i
\(137\) −9.90799 2.65484i −0.846497 0.226818i −0.190599 0.981668i \(-0.561043\pi\)
−0.655898 + 0.754850i \(0.727710\pi\)
\(138\) 1.79725 1.64035i 0.152992 0.139636i
\(139\) −1.90381 −0.161479 −0.0807397 0.996735i \(-0.525728\pi\)
−0.0807397 + 0.996735i \(0.525728\pi\)
\(140\) −0.120199 + 6.41474i −0.0101587 + 0.542145i
\(141\) 2.25514 7.10331i 0.189917 0.598207i
\(142\) 25.7792 + 14.8836i 2.16334 + 1.24901i
\(143\) 3.30046 + 7.87551i 0.275998 + 0.658583i
\(144\) −13.2597 1.21300i −1.10498 0.101083i
\(145\) −1.65547 6.17831i −0.137479 0.513080i
\(146\) 15.3413i 1.26966i
\(147\) 6.91265 9.96069i 0.570146 0.821543i
\(148\) −6.36391 + 6.36391i −0.523111 + 0.523111i
\(149\) −0.697277 + 0.186835i −0.0571231 + 0.0153061i −0.287267 0.957850i \(-0.592747\pi\)
0.230144 + 0.973157i \(0.426080\pi\)
\(150\) 10.0848 2.21480i 0.823418 0.180838i
\(151\) 4.72655 17.6397i 0.384641 1.43550i −0.454090 0.890956i \(-0.650035\pi\)
0.838731 0.544545i \(-0.183298\pi\)
\(152\) −1.81581 1.04836i −0.147281 0.0850329i
\(153\) −3.81111 + 5.39722i −0.308110 + 0.436339i
\(154\) −8.73865 + 8.41719i −0.704181 + 0.678276i
\(155\) −7.93396 −0.637271
\(156\) 6.28579 + 8.93579i 0.503266 + 0.715436i
\(157\) −4.40329 7.62673i −0.351421 0.608679i 0.635078 0.772448i \(-0.280968\pi\)
−0.986499 + 0.163769i \(0.947635\pi\)
\(158\) −3.30338 + 12.3284i −0.262803 + 0.980793i
\(159\) 20.6614 + 0.943086i 1.63855 + 0.0747916i
\(160\) 10.5677i 0.835453i
\(161\) 0.461991 + 1.86312i 0.0364100 + 0.146834i
\(162\) 7.48986 15.7355i 0.588459 1.23630i
\(163\) −8.96152 + 2.40123i −0.701921 + 0.188079i −0.592091 0.805871i \(-0.701697\pi\)
−0.109830 + 0.993950i \(0.535031\pi\)
\(164\) 14.8077 + 3.96772i 1.15629 + 0.309827i
\(165\) −4.78953 3.06461i −0.372864 0.238580i
\(166\) 2.46022 + 1.42041i 0.190950 + 0.110245i
\(167\) 5.66815 5.66815i 0.438614 0.438614i −0.452931 0.891545i \(-0.649622\pi\)
0.891545 + 0.452931i \(0.149622\pi\)
\(168\) 1.23324 1.85007i 0.0951462 0.142736i
\(169\) −3.26043 + 12.5845i −0.250802 + 0.968038i
\(170\) 5.11937 + 2.95567i 0.392638 + 0.226690i
\(171\) 9.96408 8.29384i 0.761973 0.634246i
\(172\) −1.30058 2.25266i −0.0991679 0.171764i
\(173\) −5.32380 + 9.22110i −0.404761 + 0.701067i −0.994294 0.106678i \(-0.965979\pi\)
0.589532 + 0.807745i \(0.299312\pi\)
\(174\) 4.68294 14.7505i 0.355012 1.11823i
\(175\) −2.25515 + 7.82676i −0.170474 + 0.591648i
\(176\) −7.43274 + 7.43274i −0.560264 + 0.560264i
\(177\) −8.53656 9.35313i −0.641647 0.703024i
\(178\) 10.8628 + 18.8150i 0.814204 + 1.41024i
\(179\) −6.40516 11.0941i −0.478744 0.829210i 0.520959 0.853582i \(-0.325575\pi\)
−0.999703 + 0.0243724i \(0.992241\pi\)
\(180\) −6.82627 2.51522i −0.508800 0.187473i
\(181\) 3.09288i 0.229892i −0.993372 0.114946i \(-0.963330\pi\)
0.993372 0.114946i \(-0.0366695\pi\)
\(182\) −18.3467 + 2.14357i −1.35995 + 0.158892i
\(183\) 12.8565 6.66033i 0.950377 0.492346i
\(184\) 0.0911086 + 0.340022i 0.00671661 + 0.0250667i
\(185\) 6.17567 3.56552i 0.454044 0.262143i
\(186\) −16.1698 10.3463i −1.18562 0.758630i
\(187\) 1.34999 + 5.03824i 0.0987212 + 0.368433i
\(188\) −5.32272 5.32272i −0.388200 0.388200i
\(189\) 8.09743 + 11.1100i 0.589002 + 0.808132i
\(190\) −8.20168 8.20168i −0.595012 0.595012i
\(191\) −10.7534 6.20849i −0.778091 0.449231i 0.0576626 0.998336i \(-0.481635\pi\)
−0.835753 + 0.549105i \(0.814969\pi\)
\(192\) −5.49432 + 8.58679i −0.396518 + 0.619698i
\(193\) −5.49136 + 20.4940i −0.395277 + 1.47519i 0.426032 + 0.904708i \(0.359911\pi\)
−0.821309 + 0.570484i \(0.806756\pi\)
\(194\) 0.590984 1.02361i 0.0424302 0.0734912i
\(195\) −2.97831 8.12802i −0.213281 0.582060i
\(196\) −5.72140 10.8273i −0.408671 0.773378i
\(197\) −5.64266 5.64266i −0.402023 0.402023i 0.476922 0.878945i \(-0.341752\pi\)
−0.878945 + 0.476922i \(0.841752\pi\)
\(198\) −5.76483 12.4916i −0.409689 0.887741i
\(199\) 12.3618 7.13709i 0.876305 0.505935i 0.00686693 0.999976i \(-0.497814\pi\)
0.869438 + 0.494041i \(0.164481\pi\)
\(200\) −0.386600 + 1.44281i −0.0273367 + 0.102022i
\(201\) 0.701045 + 0.768104i 0.0494479 + 0.0541779i
\(202\) 26.4348 + 26.4348i 1.85995 + 1.85995i
\(203\) 8.46951 + 8.79297i 0.594443 + 0.617146i
\(204\) 3.06973 + 5.92551i 0.214924 + 0.414869i
\(205\) −10.5194 6.07335i −0.734704 0.424181i
\(206\) −36.7095 9.83627i −2.55767 0.685326i
\(207\) −2.16751 0.198284i −0.150652 0.0137817i
\(208\) −15.8570 + 2.15453i −1.09949 + 0.149389i
\(209\) 10.2345i 0.707935i
\(210\) 9.23864 8.12008i 0.637527 0.560339i
\(211\) −28.0505 −1.93108 −0.965538 0.260260i \(-0.916192\pi\)
−0.965538 + 0.260260i \(0.916192\pi\)
\(212\) 10.4452 18.0916i 0.717380 1.24254i
\(213\) −5.71159 26.0069i −0.391352 1.78196i
\(214\) 10.3614 + 2.77633i 0.708290 + 0.189786i
\(215\) 0.533428 + 1.99078i 0.0363795 + 0.135770i
\(216\) 1.52286 + 2.00923i 0.103618 + 0.136711i
\(217\) 13.2543 7.32477i 0.899760 0.497238i
\(218\) 23.3351 1.58046
\(219\) −10.1358 + 9.25091i −0.684915 + 0.625118i
\(220\) −4.97369 + 2.87156i −0.335326 + 0.193601i
\(221\) −3.00838 + 7.34889i −0.202366 + 0.494340i
\(222\) 17.2359 + 0.786730i 1.15680 + 0.0528019i
\(223\) 11.4761 11.4761i 0.768500 0.768500i −0.209343 0.977842i \(-0.567132\pi\)
0.977842 + 0.209343i \(0.0671324\pi\)
\(224\) −9.75631 17.6542i −0.651871 1.17957i
\(225\) −7.54446 5.32733i −0.502964 0.355156i
\(226\) −6.77830 25.2970i −0.450886 1.68273i
\(227\) −5.05250 + 18.8562i −0.335346 + 1.25153i 0.568147 + 0.822927i \(0.307661\pi\)
−0.903493 + 0.428602i \(0.859006\pi\)
\(228\) −2.80880 12.7895i −0.186018 0.847004i
\(229\) −1.05919 + 0.283809i −0.0699932 + 0.0187546i −0.293646 0.955914i \(-0.594869\pi\)
0.223652 + 0.974669i \(0.428202\pi\)
\(230\) 1.94734i 0.128404i
\(231\) 10.8306 + 0.697899i 0.712600 + 0.0459184i
\(232\) 1.58312 + 1.58312i 0.103937 + 0.103937i
\(233\) −9.18559 + 15.9099i −0.601768 + 1.04229i 0.390785 + 0.920482i \(0.372204\pi\)
−0.992553 + 0.121811i \(0.961130\pi\)
\(234\) 4.52948 20.4491i 0.296102 1.33680i
\(235\) 2.98217 + 5.16528i 0.194536 + 0.336946i
\(236\) −12.3543 + 3.31033i −0.804198 + 0.215484i
\(237\) 10.1371 5.25158i 0.658478 0.341127i
\(238\) −11.2810 0.211383i −0.731240 0.0137019i
\(239\) 19.7676 + 19.7676i 1.27866 + 1.27866i 0.941418 + 0.337242i \(0.109494\pi\)
0.337242 + 0.941418i \(0.390506\pi\)
\(240\) 7.87064 7.18350i 0.508048 0.463693i
\(241\) 1.80299 6.72886i 0.116141 0.433444i −0.883229 0.468942i \(-0.844635\pi\)
0.999370 + 0.0354985i \(0.0113019\pi\)
\(242\) 10.0832 + 2.70178i 0.648172 + 0.173677i
\(243\) −14.9127 + 4.54013i −0.956647 + 0.291250i
\(244\) 14.6245i 0.936239i
\(245\) 2.15845 + 9.45993i 0.137899 + 0.604373i
\(246\) −13.5189 26.0956i −0.861933 1.66379i
\(247\) 9.43382 12.4005i 0.600259 0.789024i
\(248\) 2.40505 1.38856i 0.152721 0.0881735i
\(249\) −0.545081 2.48195i −0.0345431 0.157287i
\(250\) −10.8417 + 18.7784i −0.685691 + 1.18765i
\(251\) 12.8536 0.811313 0.405657 0.914026i \(-0.367043\pi\)
0.405657 + 0.914026i \(0.367043\pi\)
\(252\) 13.7259 2.10027i 0.864651 0.132305i
\(253\) −1.21500 + 1.21500i −0.0763863 + 0.0763863i
\(254\) −2.26833 8.46553i −0.142328 0.531175i
\(255\) −1.13424 5.16458i −0.0710287 0.323419i
\(256\) −9.61409 16.6521i −0.600881 1.04076i
\(257\) 5.02416 8.70211i 0.313399 0.542822i −0.665697 0.746222i \(-0.731866\pi\)
0.979096 + 0.203400i \(0.0651991\pi\)
\(258\) −1.50894 + 4.75291i −0.0939425 + 0.295903i
\(259\) −7.02517 + 11.6580i −0.436523 + 0.724390i
\(260\) −8.67321 1.10529i −0.537890 0.0685474i
\(261\) −12.5693 + 5.80066i −0.778018 + 0.359052i
\(262\) −20.9830 5.62237i −1.29633 0.347351i
\(263\) 10.5483 6.09009i 0.650439 0.375531i −0.138186 0.990406i \(-0.544127\pi\)
0.788624 + 0.614875i \(0.210794\pi\)
\(264\) 1.98822 + 0.0907520i 0.122366 + 0.00558540i
\(265\) −11.7043 + 11.7043i −0.718991 + 0.718991i
\(266\) 21.2735 + 6.12960i 1.30436 + 0.375830i
\(267\) 5.88045 18.5225i 0.359878 1.13356i
\(268\) 1.01457 0.271853i 0.0619747 0.0166061i
\(269\) 2.20753 1.27452i 0.134596 0.0777088i −0.431190 0.902261i \(-0.641906\pi\)
0.565786 + 0.824552i \(0.308573\pi\)
\(270\) 5.26058 + 12.9166i 0.320149 + 0.786082i
\(271\) −14.0283 + 3.75888i −0.852161 + 0.228336i −0.658358 0.752705i \(-0.728749\pi\)
−0.193802 + 0.981041i \(0.562082\pi\)
\(272\) −9.77497 −0.592695
\(273\) 12.4794 + 10.8289i 0.755289 + 0.655392i
\(274\) 19.8621 1.19991
\(275\) −7.04267 + 1.88708i −0.424689 + 0.113795i
\(276\) −1.18487 + 1.85177i −0.0713206 + 0.111463i
\(277\) −10.7355 + 6.19815i −0.645035 + 0.372411i −0.786551 0.617525i \(-0.788135\pi\)
0.141517 + 0.989936i \(0.454802\pi\)
\(278\) 3.56083 0.954121i 0.213564 0.0572244i
\(279\) 2.91477 + 16.9220i 0.174502 + 1.01310i
\(280\) 0.428261 + 1.72709i 0.0255935 + 0.103214i
\(281\) −7.15435 + 7.15435i −0.426793 + 0.426793i −0.887534 0.460742i \(-0.847583\pi\)
0.460742 + 0.887534i \(0.347583\pi\)
\(282\) −0.658015 + 14.4160i −0.0391842 + 0.858459i
\(283\) 18.9127 10.9192i 1.12424 0.649081i 0.181761 0.983343i \(-0.441820\pi\)
0.942480 + 0.334262i \(0.108487\pi\)
\(284\) −25.9774 6.96064i −1.54148 0.413038i
\(285\) −0.473081 + 10.3644i −0.0280229 + 0.613934i
\(286\) −10.1200 13.0760i −0.598406 0.773201i
\(287\) 23.1804 + 0.434353i 1.36830 + 0.0256390i
\(288\) 22.5395 3.88235i 1.32815 0.228770i
\(289\) 6.07475 10.5218i 0.357338 0.618928i
\(290\) 6.19267 + 10.7260i 0.363646 + 0.629854i
\(291\) −1.03265 + 0.226790i −0.0605353 + 0.0132947i
\(292\) 3.58734 + 13.3882i 0.209933 + 0.783482i
\(293\) 5.41525 5.41525i 0.316362 0.316362i −0.531006 0.847368i \(-0.678186\pi\)
0.847368 + 0.531006i \(0.178186\pi\)
\(294\) −7.93726 + 22.0945i −0.462910 + 1.28858i
\(295\) 10.1342 0.590036
\(296\) −1.24804 + 2.16166i −0.0725406 + 0.125644i
\(297\) −4.77682 + 11.3413i −0.277179 + 0.658087i
\(298\) 1.21053 0.698898i 0.0701239 0.0404861i
\(299\) −2.59208 + 0.352191i −0.149904 + 0.0203677i
\(300\) −8.28293 + 4.29100i −0.478215 + 0.247741i
\(301\) −2.72905 2.83328i −0.157300 0.163308i
\(302\) 35.3615i 2.03483i
\(303\) 1.52479 33.4055i 0.0875967 1.91909i
\(304\) 18.5264 + 4.96413i 1.06256 + 0.284713i
\(305\) −2.99911 + 11.1928i −0.171728 + 0.640899i
\(306\) 4.42328 12.0048i 0.252862 0.686266i
\(307\) −8.74360 8.74360i −0.499024 0.499024i 0.412110 0.911134i \(-0.364792\pi\)
−0.911134 + 0.412110i \(0.864792\pi\)
\(308\) 5.65786 9.38896i 0.322386 0.534986i
\(309\) 15.6373 + 30.1848i 0.889576 + 1.71715i
\(310\) 14.8394 3.97621i 0.842822 0.225833i
\(311\) 2.78775 + 4.82853i 0.158079 + 0.273801i 0.934176 0.356813i \(-0.116137\pi\)
−0.776097 + 0.630614i \(0.782803\pi\)
\(312\) 2.32535 + 1.94263i 0.131647 + 0.109980i
\(313\) −4.96467 + 8.59906i −0.280620 + 0.486048i −0.971538 0.236886i \(-0.923873\pi\)
0.690918 + 0.722933i \(0.257207\pi\)
\(314\) 12.0580 + 12.0580i 0.680472 + 0.680472i
\(315\) −10.9358 1.20739i −0.616161 0.0680288i
\(316\) 11.5312i 0.648682i
\(317\) −10.9373 + 2.93063i −0.614297 + 0.164600i −0.552534 0.833490i \(-0.686339\pi\)
−0.0617632 + 0.998091i \(0.519672\pi\)
\(318\) −39.1170 + 8.59080i −2.19357 + 0.481748i
\(319\) −2.82848 + 10.5560i −0.158365 + 0.591025i
\(320\) −2.11153 7.88032i −0.118038 0.440523i
\(321\) −4.41369 8.51977i −0.246348 0.475527i
\(322\) −1.79782 3.25318i −0.100188 0.181293i
\(323\) 6.72982 6.72982i 0.374457 0.374457i
\(324\) −2.85678 + 15.4835i −0.158710 + 0.860195i
\(325\) −10.2726 4.20524i −0.569821 0.233265i
\(326\) 15.5579 8.98236i 0.861673 0.497487i
\(327\) −14.0712 15.4172i −0.778140 0.852574i
\(328\) 4.25170 0.234761
\(329\) −9.75062 5.87580i −0.537569 0.323943i
\(330\) 10.4940 + 3.33161i 0.577678 + 0.183399i
\(331\) 0.208395 + 0.777741i 0.0114544 + 0.0427485i 0.971417 0.237381i \(-0.0762891\pi\)
−0.959962 + 0.280130i \(0.909622\pi\)
\(332\) −2.47914 0.664283i −0.136060 0.0364573i
\(333\) −9.87357 11.8619i −0.541068 0.650030i
\(334\) −7.76084 + 13.4422i −0.424654 + 0.735523i
\(335\) −0.832247 −0.0454705
\(336\) −6.51658 + 19.2669i −0.355509 + 1.05110i
\(337\) 12.9314i 0.704420i −0.935921 0.352210i \(-0.885430\pi\)
0.935921 0.352210i \(-0.114570\pi\)
\(338\) −0.208695 25.1716i −0.0113515 1.36916i
\(339\) −12.6260 + 19.7325i −0.685750 + 1.07172i
\(340\) −5.15874 1.38228i −0.279772 0.0749647i
\(341\) 11.7396 + 6.77785i 0.635734 + 0.367041i
\(342\) −14.4799 + 20.5061i −0.782984 + 1.10885i
\(343\) −12.3394 13.8108i −0.666267 0.745714i
\(344\) −0.510115 0.510115i −0.0275036 0.0275036i
\(345\) 1.28658 1.17426i 0.0692672 0.0632199i
\(346\) 5.33619 19.9149i 0.286875 1.07063i
\(347\) 5.66698 3.27183i 0.304219 0.175641i −0.340118 0.940383i \(-0.610467\pi\)
0.644337 + 0.764742i \(0.277134\pi\)
\(348\) −0.637547 + 13.9676i −0.0341761 + 0.748739i
\(349\) −16.8430 16.8430i −0.901585 0.901585i 0.0939883 0.995573i \(-0.470038\pi\)
−0.995573 + 0.0939883i \(0.970038\pi\)
\(350\) 0.295480 15.7691i 0.0157941 0.842894i
\(351\) −16.2418 + 9.33837i −0.866921 + 0.498445i
\(352\) 9.02783 15.6367i 0.481185 0.833437i
\(353\) 8.07679 30.1430i 0.429884 1.60435i −0.323137 0.946352i \(-0.604737\pi\)
0.753021 0.657997i \(-0.228596\pi\)
\(354\) 20.6539 + 13.2156i 1.09774 + 0.702399i
\(355\) 18.4543 + 10.6546i 0.979452 + 0.565487i
\(356\) −13.8794 13.8794i −0.735608 0.735608i
\(357\) 6.66286 + 7.58069i 0.352636 + 0.401212i
\(358\) 17.5399 + 17.5399i 0.927014 + 0.927014i
\(359\) 5.21338 + 19.4566i 0.275152 + 1.02688i 0.955740 + 0.294213i \(0.0950576\pi\)
−0.680588 + 0.732666i \(0.738276\pi\)
\(360\) −2.00926 0.183807i −0.105897 0.00968750i
\(361\) 0.281861 0.162733i 0.0148348 0.00856488i
\(362\) 1.55004 + 5.78482i 0.0814682 + 0.304043i
\(363\) −4.29518 8.29101i −0.225439 0.435165i
\(364\) 15.5097 6.16078i 0.812928 0.322913i
\(365\) 10.9822i 0.574837i
\(366\) −20.7084 + 18.9004i −1.08244 + 0.987941i
\(367\) 9.40991 + 16.2984i 0.491193 + 0.850772i 0.999949 0.0101393i \(-0.00322751\pi\)
−0.508755 + 0.860911i \(0.669894\pi\)
\(368\) −1.61006 2.78870i −0.0839300 0.145371i
\(369\) −9.08902 + 24.6675i −0.473156 + 1.28414i
\(370\) −9.76385 + 9.76385i −0.507598 + 0.507598i
\(371\) 8.74733 30.3586i 0.454139 1.57614i
\(372\) 16.5304 + 5.24803i 0.857063 + 0.272098i
\(373\) −3.91334 + 6.77811i −0.202625 + 0.350957i −0.949374 0.314150i \(-0.898281\pi\)
0.746748 + 0.665107i \(0.231614\pi\)
\(374\) −5.04996 8.74678i −0.261127 0.452285i
\(375\) 18.9443 4.16051i 0.978277 0.214848i
\(376\) −1.80800 1.04385i −0.0932403 0.0538323i
\(377\) −13.1573 + 10.1829i −0.677635 + 0.524445i
\(378\) −20.7131 16.7216i −1.06536 0.860065i
\(379\) 7.03400 7.03400i 0.361312 0.361312i −0.502984 0.864296i \(-0.667764\pi\)
0.864296 + 0.502984i \(0.167764\pi\)
\(380\) 9.07532 + 5.23964i 0.465554 + 0.268788i
\(381\) −4.22525 + 6.60342i −0.216466 + 0.338303i
\(382\) 23.2243 + 6.22293i 1.18826 + 0.318393i
\(383\) −16.4146 + 4.39829i −0.838749 + 0.224742i −0.652527 0.757766i \(-0.726291\pi\)
−0.186222 + 0.982508i \(0.559624\pi\)
\(384\) −2.01838 + 6.35756i −0.103000 + 0.324433i
\(385\) −6.25565 + 6.02552i −0.318817 + 0.307089i
\(386\) 41.0834i 2.09109i
\(387\) 4.05008 1.86910i 0.205877 0.0950115i
\(388\) −0.276386 + 1.03149i −0.0140314 + 0.0523658i
\(389\) −17.6555 30.5803i −0.895170 1.55048i −0.833594 0.552378i \(-0.813721\pi\)
−0.0615764 0.998102i \(-0.519613\pi\)
\(390\) 9.64398 + 13.7098i 0.488342 + 0.694220i
\(391\) −1.59787 −0.0808080
\(392\) −2.30992 2.48986i −0.116669 0.125757i
\(393\) 8.93822 + 17.2535i 0.450873 + 0.870323i
\(394\) 13.3817 + 7.72595i 0.674162 + 0.389228i
\(395\) −2.36475 + 8.82538i −0.118984 + 0.444053i
\(396\) 7.95186 + 9.55323i 0.399596 + 0.480068i
\(397\) 16.8391 4.51203i 0.845132 0.226452i 0.189828 0.981817i \(-0.439207\pi\)
0.655304 + 0.755365i \(0.272540\pi\)
\(398\) −19.5442 + 19.5442i −0.979665 + 0.979665i
\(399\) −8.77826 17.7513i −0.439463 0.888675i
\(400\) 13.6639i 0.683194i
\(401\) 9.39391 + 35.0585i 0.469109 + 1.75074i 0.642893 + 0.765956i \(0.277734\pi\)
−0.173784 + 0.984784i \(0.555599\pi\)
\(402\) −1.69615 1.08530i −0.0845965 0.0541297i
\(403\) 7.97650 + 19.0334i 0.397338 + 0.948122i
\(404\) −29.2507 16.8879i −1.45527 0.840203i
\(405\) 5.36169 11.2644i 0.266424 0.559732i
\(406\) −20.2478 12.2015i −1.00488 0.605548i
\(407\) −12.1839 −0.603931
\(408\) 1.24770 + 1.36705i 0.0617705 + 0.0676792i
\(409\) −22.9709 6.15503i −1.13584 0.304347i −0.358561 0.933506i \(-0.616732\pi\)
−0.777276 + 0.629160i \(0.783399\pi\)
\(410\) 22.7188 + 6.08748i 1.12200 + 0.300639i
\(411\) −11.9769 13.1226i −0.590778 0.647290i
\(412\) 34.3359 1.69161
\(413\) −16.9299 + 9.35606i −0.833068 + 0.460382i
\(414\) 4.15340 0.715411i 0.204129 0.0351605i
\(415\) 1.76117 + 1.01681i 0.0864525 + 0.0499133i
\(416\) 25.3518 10.6244i 1.24297 0.520903i
\(417\) −2.77757 1.77725i −0.136018 0.0870323i
\(418\) 5.12915 + 19.1422i 0.250875 + 0.936278i
\(419\) 17.4455i 0.852269i −0.904660 0.426134i \(-0.859875\pi\)
0.904660 0.426134i \(-0.140125\pi\)
\(420\) −6.16366 + 9.24659i −0.300756 + 0.451187i
\(421\) 0.682835 0.682835i 0.0332793 0.0332793i −0.690271 0.723551i \(-0.742509\pi\)
0.723551 + 0.690271i \(0.242509\pi\)
\(422\) 52.4647 14.0579i 2.55394 0.684326i
\(423\) 9.92122 8.25817i 0.482386 0.401526i
\(424\) 1.49955 5.59640i 0.0728246 0.271785i
\(425\) −5.87186 3.39012i −0.284827 0.164445i
\(426\) 23.7164 + 45.7799i 1.14907 + 2.21804i
\(427\) −5.32316 21.4673i −0.257606 1.03887i
\(428\) −9.69143 −0.468453
\(429\) −2.53674 + 14.5710i −0.122475 + 0.703496i
\(430\) −1.99541 3.45615i −0.0962272 0.166670i
\(431\) 0.151236 0.564422i 0.00728480 0.0271872i −0.962188 0.272387i \(-0.912187\pi\)
0.969473 + 0.245200i \(0.0788536\pi\)
\(432\) −18.2129 14.1479i −0.876269 0.680692i
\(433\) 24.1411i 1.16015i −0.814564 0.580074i \(-0.803024\pi\)
0.814564 0.580074i \(-0.196976\pi\)
\(434\) −21.1195 + 20.3425i −1.01377 + 0.976473i
\(435\) 3.35232 10.5593i 0.160732 0.506278i
\(436\) −20.3642 + 5.45658i −0.975270 + 0.261323i
\(437\) 3.02843 + 0.811466i 0.144870 + 0.0388177i
\(438\) 14.3215 22.3823i 0.684306 1.06947i
\(439\) 32.3732 + 18.6907i 1.54509 + 0.892056i 0.998506 + 0.0546506i \(0.0174045\pi\)
0.546582 + 0.837406i \(0.315929\pi\)
\(440\) −1.12629 + 1.12629i −0.0536939 + 0.0536939i
\(441\) 19.3837 8.07905i 0.923035 0.384717i
\(442\) 1.94378 15.2528i 0.0924561 0.725501i
\(443\) 13.3228 + 7.69193i 0.632986 + 0.365455i 0.781908 0.623394i \(-0.214247\pi\)
−0.148922 + 0.988849i \(0.547580\pi\)
\(444\) −15.2255 + 3.34380i −0.722570 + 0.158690i
\(445\) 7.77626 + 13.4689i 0.368630 + 0.638486i
\(446\) −15.7132 + 27.2160i −0.744040 + 1.28871i
\(447\) −1.19171 0.378339i −0.0563658 0.0178948i
\(448\) 10.8027 + 11.2153i 0.510380 + 0.529872i
\(449\) 24.2044 24.2044i 1.14228 1.14228i 0.154243 0.988033i \(-0.450706\pi\)
0.988033 0.154243i \(-0.0492938\pi\)
\(450\) 16.7808 + 6.18306i 0.791052 + 0.291472i
\(451\) 10.3767 + 17.9730i 0.488621 + 0.846316i
\(452\) 11.8306 + 20.4913i 0.556466 + 0.963828i
\(453\) 23.3629 21.3232i 1.09768 1.00185i
\(454\) 37.8001i 1.77405i
\(455\) −13.1337 + 1.53450i −0.615717 + 0.0719383i
\(456\) −1.67051 3.22459i −0.0782288 0.151005i
\(457\) 6.02561 + 22.4879i 0.281866 + 1.05194i 0.951099 + 0.308886i \(0.0999563\pi\)
−0.669233 + 0.743053i \(0.733377\pi\)
\(458\) 1.83884 1.06165i 0.0859232 0.0496078i
\(459\) −10.5986 + 4.31653i −0.494702 + 0.201478i
\(460\) −0.455357 1.69941i −0.0212311 0.0792356i
\(461\) 24.0178 + 24.0178i 1.11862 + 1.11862i 0.991944 + 0.126677i \(0.0404310\pi\)
0.126677 + 0.991944i \(0.459569\pi\)
\(462\) −20.6069 + 4.12256i −0.958719 + 0.191799i
\(463\) −6.56142 6.56142i −0.304935 0.304935i 0.538006 0.842941i \(-0.319178\pi\)
−0.842941 + 0.538006i \(0.819178\pi\)
\(464\) −17.7365 10.2402i −0.823397 0.475388i
\(465\) −11.5753 7.40652i −0.536790 0.343469i
\(466\) 9.20696 34.3608i 0.426504 1.59173i
\(467\) −13.3120 + 23.0571i −0.616006 + 1.06695i 0.374201 + 0.927347i \(0.377917\pi\)
−0.990207 + 0.139606i \(0.955416\pi\)
\(468\) 0.828914 + 18.9048i 0.0383166 + 0.873875i
\(469\) 1.39033 0.768345i 0.0641996 0.0354789i
\(470\) −8.16640 8.16640i −0.376688 0.376688i
\(471\) 0.695517 15.2376i 0.0320477 0.702111i
\(472\) −3.07202 + 1.77363i −0.141401 + 0.0816379i
\(473\) 0.911396 3.40138i 0.0419060 0.156395i
\(474\) −16.3283 + 14.9027i −0.749982 + 0.684505i
\(475\) 9.40722 + 9.40722i 0.431633 + 0.431633i
\(476\) 9.89421 2.45343i 0.453500 0.112453i
\(477\) 29.2636 + 20.6638i 1.33989 + 0.946128i
\(478\) −46.8794 27.0658i −2.14421 1.23796i
\(479\) −13.2078 3.53902i −0.603479 0.161702i −0.0558729 0.998438i \(-0.517794\pi\)
−0.547606 + 0.836736i \(0.684461\pi\)
\(480\) −9.86520 + 15.4178i −0.450283 + 0.703723i
\(481\) −14.7624 11.2307i −0.673107 0.512074i
\(482\) 13.4890i 0.614407i
\(483\) −1.06524 + 3.14948i −0.0484700 + 0.143306i
\(484\) −9.43121 −0.428692
\(485\) 0.423061 0.732764i 0.0192102 0.0332731i
\(486\) 25.6168 15.9654i 1.16200 0.724204i
\(487\) −0.828582 0.222018i −0.0375466 0.0100606i 0.239997 0.970774i \(-0.422854\pi\)
−0.277543 + 0.960713i \(0.589520\pi\)
\(488\) −1.04977 3.91781i −0.0475210 0.177351i
\(489\) −15.3160 4.86249i −0.692615 0.219889i
\(490\) −8.77806 16.6118i −0.396552 0.750444i
\(491\) 2.60011 0.117342 0.0586708 0.998277i \(-0.481314\pi\)
0.0586708 + 0.998277i \(0.481314\pi\)
\(492\) 17.8998 + 19.6120i 0.806985 + 0.884178i
\(493\) −8.80115 + 5.08135i −0.396384 + 0.228852i
\(494\) −11.4300 + 27.9213i −0.514261 + 1.25624i
\(495\) −4.12681 8.94225i −0.185486 0.401924i
\(496\) −17.9633 + 17.9633i −0.806578 + 0.806578i
\(497\) −40.6658 0.761993i −1.82411 0.0341800i
\(498\) 2.26336 + 4.36897i 0.101424 + 0.195778i
\(499\) 1.43469 + 5.35433i 0.0642254 + 0.239693i 0.990575 0.136973i \(-0.0437373\pi\)
−0.926349 + 0.376665i \(0.877071\pi\)
\(500\) 5.07035 18.9228i 0.226753 0.846254i
\(501\) 13.5609 2.97822i 0.605855 0.133057i
\(502\) −24.0410 + 6.44175i −1.07300 + 0.287510i
\(503\) 39.5365i 1.76284i 0.472329 + 0.881422i \(0.343413\pi\)
−0.472329 + 0.881422i \(0.656587\pi\)
\(504\) 3.52631 1.54792i 0.157074 0.0689497i
\(505\) 18.9236 + 18.9236i 0.842090 + 0.842090i
\(506\) 1.66358 2.88140i 0.0739551 0.128094i
\(507\) −16.5047 + 15.3165i −0.732999 + 0.680230i
\(508\) 3.95908 + 6.85733i 0.175656 + 0.304245i
\(509\) 19.8987 5.33184i 0.881994 0.236330i 0.210727 0.977545i \(-0.432417\pi\)
0.671267 + 0.741215i \(0.265750\pi\)
\(510\) 4.70974 + 9.09122i 0.208551 + 0.402566i
\(511\) 10.1390 + 18.3467i 0.448522 + 0.811609i
\(512\) 20.8810 + 20.8810i 0.922820 + 0.922820i
\(513\) 22.2796 2.79864i 0.983668 0.123563i
\(514\) −5.03585 + 18.7940i −0.222122 + 0.828969i
\(515\) −26.2788 7.04139i −1.15798 0.310281i
\(516\) 0.205431 4.50064i 0.00904359 0.198130i
\(517\) 10.1905i 0.448177i
\(518\) 7.29710 25.3254i 0.320616 1.11273i
\(519\) −16.3753 + 8.48326i −0.718794 + 0.372374i
\(520\) −2.40283 + 0.326478i −0.105371 + 0.0143170i
\(521\) −8.86791 + 5.11989i −0.388510 + 0.224307i −0.681514 0.731805i \(-0.738678\pi\)
0.293004 + 0.956111i \(0.405345\pi\)
\(522\) 20.6020 17.1486i 0.901727 0.750574i
\(523\) 6.10685 10.5774i 0.267034 0.462516i −0.701061 0.713102i \(-0.747290\pi\)
0.968095 + 0.250585i \(0.0806231\pi\)
\(524\) 19.6262 0.857375
\(525\) −10.5966 + 9.31363i −0.462474 + 0.406480i
\(526\) −16.6771 + 16.6771i −0.727157 + 0.727157i
\(527\) 3.26264 + 12.1763i 0.142123 + 0.530410i
\(528\) −17.7826 + 3.90539i −0.773889 + 0.169960i
\(529\) 11.2368 + 19.4627i 0.488557 + 0.846206i
\(530\) 16.0256 27.7571i 0.696107 1.20569i
\(531\) −3.72308 21.6148i −0.161568 0.938003i
\(532\) −19.9983 0.374727i −0.867038 0.0162465i
\(533\) −3.99410 + 31.3416i −0.173004 + 1.35756i
\(534\) −1.71583 + 37.5908i −0.0742511 + 1.62671i
\(535\) 7.41730 + 1.98746i 0.320678 + 0.0859253i
\(536\) 0.252282 0.145655i 0.0108969 0.00629135i
\(537\) 1.01172 22.1651i 0.0436590 0.956493i
\(538\) −3.49015 + 3.49015i −0.150471 + 0.150471i
\(539\) 4.88767 15.8414i 0.210527 0.682338i
\(540\) −7.61119 10.0420i −0.327534 0.432141i
\(541\) −8.53926 + 2.28809i −0.367132 + 0.0983726i −0.437668 0.899137i \(-0.644196\pi\)
0.0705366 + 0.997509i \(0.477529\pi\)
\(542\) 24.3543 14.0610i 1.04611 0.603970i
\(543\) 2.88727 4.51237i 0.123905 0.193644i
\(544\) 16.2184 4.34571i 0.695359 0.186321i
\(545\) 16.7047 0.715550
\(546\) −28.7681 13.9997i −1.23116 0.599132i
\(547\) 10.7037 0.457659 0.228830 0.973466i \(-0.426510\pi\)
0.228830 + 0.973466i \(0.426510\pi\)
\(548\) −17.3333 + 4.64445i −0.740443 + 0.198401i
\(549\) 24.9745 + 2.28468i 1.06589 + 0.0975076i
\(550\) 12.2266 7.05904i 0.521345 0.300999i
\(551\) 19.2612 5.16103i 0.820556 0.219867i
\(552\) −0.184494 + 0.581127i −0.00785261 + 0.0247344i
\(553\) −4.19724 16.9267i −0.178485 0.719794i
\(554\) 16.9730 16.9730i 0.721116 0.721116i
\(555\) 12.3385 + 0.563188i 0.523740 + 0.0239060i
\(556\) −2.88437 + 1.66529i −0.122325 + 0.0706242i
\(557\) 8.70078 + 2.33137i 0.368664 + 0.0987831i 0.438394 0.898783i \(-0.355547\pi\)
−0.0697307 + 0.997566i \(0.522214\pi\)
\(558\) −13.9324 30.1896i −0.589804 1.27803i
\(559\) 4.23955 3.28114i 0.179314 0.138777i
\(560\) −7.87311 14.2465i −0.332700 0.602026i
\(561\) −2.73373 + 8.61079i −0.115418 + 0.363548i
\(562\) 9.79575 16.9667i 0.413209 0.715698i
\(563\) 6.65130 + 11.5204i 0.280319 + 0.485527i 0.971463 0.237190i \(-0.0762264\pi\)
−0.691144 + 0.722717i \(0.742893\pi\)
\(564\) −2.79672 12.7345i −0.117763 0.536218i
\(565\) −4.85231 18.1091i −0.204138 0.761854i
\(566\) −29.9013 + 29.9013i −1.25684 + 1.25684i
\(567\) 1.44237 + 23.7680i 0.0605739 + 0.998164i
\(568\) −7.45883 −0.312965
\(569\) 11.2617 19.5058i 0.472115 0.817727i −0.527376 0.849632i \(-0.676824\pi\)
0.999491 + 0.0319049i \(0.0101574\pi\)
\(570\) −4.30941 19.6223i −0.180501 0.821887i
\(571\) −30.7521 + 17.7548i −1.28694 + 0.743013i −0.978107 0.208104i \(-0.933271\pi\)
−0.308830 + 0.951117i \(0.599937\pi\)
\(572\) 11.8892 + 9.04483i 0.497111 + 0.378183i
\(573\) −9.89297 19.0964i −0.413285 0.797765i
\(574\) −43.5735 + 10.8048i −1.81872 + 0.450982i
\(575\) 2.23358i 0.0931466i
\(576\) −16.0319 + 7.39865i −0.667995 + 0.308277i
\(577\) −18.4532 4.94452i −0.768218 0.205843i −0.146634 0.989191i \(-0.546844\pi\)
−0.621584 + 0.783348i \(0.713511\pi\)
\(578\) −6.08888 + 22.7240i −0.253264 + 0.945194i
\(579\) −27.1432 + 24.7735i −1.12803 + 1.02955i
\(580\) −7.91237 7.91237i −0.328543 0.328543i
\(581\) −3.88091 0.0727202i −0.161007 0.00301694i
\(582\) 1.81778 0.941708i 0.0753495 0.0390350i
\(583\) 27.3172 7.31963i 1.13136 0.303148i
\(584\) 1.92205 + 3.32909i 0.0795350 + 0.137759i
\(585\) 3.24247 14.6387i 0.134060 0.605236i
\(586\) −7.41457 + 12.8424i −0.306293 + 0.530515i
\(587\) 5.45570 + 5.45570i 0.225181 + 0.225181i 0.810676 0.585495i \(-0.199100\pi\)
−0.585495 + 0.810676i \(0.699100\pi\)
\(588\) 1.76026 21.1375i 0.0725917 0.871697i
\(589\) 24.7346i 1.01917i
\(590\) −18.9546 + 5.07888i −0.780350 + 0.209094i
\(591\) −2.96483 13.4999i −0.121957 0.555312i
\(592\) 5.90965 22.0551i 0.242885 0.906459i
\(593\) −1.37797 5.14265i −0.0565864 0.211183i 0.931844 0.362860i \(-0.118200\pi\)
−0.988430 + 0.151676i \(0.951533\pi\)
\(594\) 3.25058 23.6063i 0.133373 0.968577i
\(595\) −8.07563 0.151321i −0.331068 0.00620354i
\(596\) −0.892982 + 0.892982i −0.0365779 + 0.0365779i
\(597\) 24.6979 + 1.12733i 1.01082 + 0.0461386i
\(598\) 4.67163 1.95778i 0.191037 0.0800596i
\(599\) −27.4491 + 15.8477i −1.12154 + 0.647521i −0.941793 0.336193i \(-0.890861\pi\)
−0.179745 + 0.983713i \(0.557527\pi\)
\(600\) −1.91092 + 1.74409i −0.0780132 + 0.0712022i
\(601\) 29.8604 1.21803 0.609016 0.793158i \(-0.291565\pi\)
0.609016 + 0.793158i \(0.291565\pi\)
\(602\) 6.52426 + 3.93157i 0.265909 + 0.160239i
\(603\) 0.305749 + 1.77507i 0.0124511 + 0.0722863i
\(604\) −8.26877 30.8595i −0.336451 1.25565i
\(605\) 7.21814 + 1.93410i 0.293459 + 0.0786321i
\(606\) 13.8897 + 63.2446i 0.564229 + 2.56914i
\(607\) 18.0891 31.3312i 0.734214 1.27170i −0.220854 0.975307i \(-0.570884\pi\)
0.955068 0.296388i \(-0.0957822\pi\)
\(608\) −32.9455 −1.33612
\(609\) 4.14818 + 20.7350i 0.168093 + 0.840224i
\(610\) 22.4377i 0.908476i
\(611\) 9.39324 12.3471i 0.380010 0.499512i
\(612\) −1.05300 + 11.5107i −0.0425650 + 0.465292i
\(613\) 38.7241 + 10.3761i 1.56405 + 0.419086i 0.933943 0.357421i \(-0.116344\pi\)
0.630108 + 0.776507i \(0.283010\pi\)
\(614\) 20.7357 + 11.9718i 0.836824 + 0.483141i
\(615\) −9.67763 18.6808i −0.390240 0.753281i
\(616\) 0.841745 2.92137i 0.0339149 0.117705i
\(617\) −33.0811 33.0811i −1.33180 1.33180i −0.903763 0.428034i \(-0.859206\pi\)
−0.428034 0.903763i \(-0.640794\pi\)
\(618\) −44.3750 48.6197i −1.78502 1.95577i
\(619\) 2.13272 7.95941i 0.0857212 0.319916i −0.909729 0.415203i \(-0.863710\pi\)
0.995450 + 0.0952876i \(0.0303771\pi\)
\(620\) −12.0203 + 6.93995i −0.482749 + 0.278715i
\(621\) −2.97719 2.31270i −0.119470 0.0928055i
\(622\) −7.63399 7.63399i −0.306095 0.306095i
\(623\) −25.4255 15.3216i −1.01865 0.613847i
\(624\) −25.1459 11.6595i −1.00664 0.466754i
\(625\) −0.0646763 + 0.112023i −0.00258705 + 0.00448091i
\(626\) 4.97622 18.5715i 0.198890 0.742266i
\(627\) 9.55412 14.9316i 0.381555 0.596312i
\(628\) −13.3424 7.70325i −0.532420 0.307393i
\(629\) −8.01164 8.01164i −0.319445 0.319445i
\(630\) 21.0590 3.22234i 0.839010 0.128381i
\(631\) 18.8858 + 18.8858i 0.751833 + 0.751833i 0.974821 0.222988i \(-0.0715811\pi\)
−0.222988 + 0.974821i \(0.571581\pi\)
\(632\) −0.827732 3.08914i −0.0329254 0.122879i
\(633\) −40.9243 26.1857i −1.62660 1.04079i
\(634\) 18.9879 10.9627i 0.754107 0.435384i
\(635\) −1.62381 6.06013i −0.0644388 0.240489i
\(636\) 32.1280 16.6440i 1.27396 0.659977i
\(637\) 20.5242 14.6887i 0.813197 0.581989i
\(638\) 21.1612i 0.837779i
\(639\) 15.9450 43.2747i 0.630776 1.71192i
\(640\) −2.66908 4.62299i −0.105505 0.182740i
\(641\) 18.8454 + 32.6411i 0.744347 + 1.28925i 0.950499 + 0.310727i \(0.100573\pi\)
−0.206152 + 0.978520i \(0.566094\pi\)
\(642\) 12.5250 + 13.7231i 0.494323 + 0.541607i
\(643\) −26.5007 + 26.5007i −1.04508 + 1.04508i −0.0461500 + 0.998935i \(0.514695\pi\)
−0.998935 + 0.0461500i \(0.985305\pi\)
\(644\) 2.32964 + 2.41861i 0.0918005 + 0.0953065i
\(645\) −1.08019 + 3.40242i −0.0425324 + 0.133970i
\(646\) −9.21448 + 15.9599i −0.362539 + 0.627936i
\(647\) 9.44143 + 16.3530i 0.371181 + 0.642904i 0.989748 0.142828i \(-0.0456196\pi\)
−0.618566 + 0.785732i \(0.712286\pi\)
\(648\) 0.346122 + 4.35299i 0.0135970 + 0.171002i
\(649\) −14.9952 8.65746i −0.588612 0.339835i
\(650\) 21.3210 + 2.71710i 0.836279 + 0.106573i
\(651\) 26.1752 + 1.68667i 1.02589 + 0.0661059i
\(652\) −11.4768 + 11.4768i −0.449465 + 0.449465i
\(653\) −27.2368 15.7252i −1.06586 0.615373i −0.138811 0.990319i \(-0.544328\pi\)
−0.927047 + 0.374945i \(0.877661\pi\)
\(654\) 34.0448 + 21.7838i 1.33126 + 0.851816i
\(655\) −15.0208 4.02482i −0.586913 0.157263i
\(656\) −37.5677 + 10.0662i −1.46677 + 0.393020i
\(657\) −23.4236 + 4.03463i −0.913840 + 0.157406i
\(658\) 21.1819 + 6.10323i 0.825758 + 0.237929i
\(659\) 2.46575i 0.0960519i 0.998846 + 0.0480259i \(0.0152930\pi\)
−0.998846 + 0.0480259i \(0.984707\pi\)
\(660\) −9.93704 0.453574i −0.386799 0.0176554i
\(661\) 4.51394 16.8462i 0.175572 0.655243i −0.820882 0.571098i \(-0.806518\pi\)
0.996454 0.0841448i \(-0.0268158\pi\)
\(662\) −0.779550 1.35022i −0.0302981 0.0524778i
\(663\) −11.2494 + 7.91329i −0.436891 + 0.307327i
\(664\) −0.711827 −0.0276242
\(665\) 15.2288 + 4.38793i 0.590548 + 0.170157i
\(666\) 24.4119 + 17.2379i 0.945943 + 0.667954i
\(667\) −2.89931 1.67392i −0.112262 0.0648144i
\(668\) 3.62951 13.5455i 0.140430 0.524092i
\(669\) 27.4564 6.02992i 1.06152 0.233130i
\(670\) 1.55661 0.417091i 0.0601369 0.0161136i
\(671\) 13.9995 13.9995i 0.540444 0.540444i
\(672\) 2.24658 34.8643i 0.0866639 1.34492i
\(673\) 11.2854i 0.435020i −0.976058 0.217510i \(-0.930207\pi\)
0.976058 0.217510i \(-0.0697934\pi\)
\(674\) 6.48075 + 24.1865i 0.249629 + 0.931629i
\(675\) −6.03382 14.8152i −0.232242 0.570238i
\(676\) 6.06813 + 21.9181i 0.233390 + 0.843003i
\(677\) 8.62267 + 4.97830i 0.331396 + 0.191332i 0.656461 0.754360i \(-0.272053\pi\)
−0.325065 + 0.945692i \(0.605386\pi\)
\(678\) 13.7260 43.2347i 0.527145 1.66042i
\(679\) −0.0302564 + 1.61472i −0.00116113 + 0.0619671i
\(680\) −1.48121 −0.0568019
\(681\) −24.9740 + 22.7937i −0.957006 + 0.873455i
\(682\) −25.3541 6.79361i −0.970858 0.260141i
\(683\) −39.8038 10.6654i −1.52305 0.408100i −0.602305 0.798266i \(-0.705751\pi\)
−0.920745 + 0.390166i \(0.872418\pi\)
\(684\) 7.84134 21.2813i 0.299821 0.813711i
\(685\) 14.2184 0.543259
\(686\) 30.0007 + 19.6472i 1.14543 + 0.750133i
\(687\) −1.81025 0.574712i −0.0690653 0.0219266i
\(688\) 5.71508 + 3.29960i 0.217885 + 0.125796i
\(689\) 39.8455 + 16.3114i 1.51799 + 0.621413i
\(690\) −1.81788 + 2.84108i −0.0692056 + 0.108158i
\(691\) 4.87743 + 18.2028i 0.185546 + 0.692467i 0.994513 + 0.104613i \(0.0333604\pi\)
−0.808967 + 0.587854i \(0.799973\pi\)
\(692\) 18.6272i 0.708101i
\(693\) 15.1498 + 11.1288i 0.575493 + 0.422747i
\(694\) −8.95959 + 8.95959i −0.340101 + 0.340101i
\(695\) 2.54905 0.683016i 0.0966910 0.0259083i
\(696\) 0.831821 + 3.78758i 0.0315301 + 0.143568i
\(697\) −4.99503 + 18.6417i −0.189200 + 0.706104i
\(698\) 39.9436 + 23.0615i 1.51189 + 0.872889i
\(699\) −28.2536 + 14.6369i −1.06865 + 0.553617i
\(700\) 3.42951 + 13.8306i 0.129623 + 0.522746i
\(701\) 38.6302 1.45904 0.729522 0.683957i \(-0.239743\pi\)
0.729522 + 0.683957i \(0.239743\pi\)
\(702\) 25.6980 25.6059i 0.969908 0.966433i
\(703\) 11.1157 + 19.2530i 0.419238 + 0.726141i
\(704\) −3.60768 + 13.4640i −0.135970 + 0.507445i
\(705\) −0.471046 + 10.3198i −0.0177406 + 0.388666i
\(706\) 60.4262i 2.27417i
\(707\) −49.0839 14.1427i −1.84599 0.531893i
\(708\) −21.1146 6.70340i −0.793536 0.251929i
\(709\) −30.8334 + 8.26177i −1.15797 + 0.310277i −0.786155 0.618029i \(-0.787931\pi\)
−0.371816 + 0.928307i \(0.621265\pi\)
\(710\) −39.8559 10.6794i −1.49577 0.400789i
\(711\) 19.6921 + 1.80143i 0.738510 + 0.0675591i
\(712\) −4.71449 2.72191i −0.176683 0.102008i
\(713\) −2.93639 + 2.93639i −0.109969 + 0.109969i
\(714\) −16.2611 10.8395i −0.608558 0.405657i
\(715\) −7.24448 9.36058i −0.270928 0.350066i
\(716\) −19.4083 11.2054i −0.725322 0.418765i
\(717\) 10.3865 + 47.2934i 0.387891 + 1.76621i
\(718\) −19.5018 33.7782i −0.727802 1.26059i
\(719\) 10.6104 18.3777i 0.395700 0.685373i −0.597490 0.801876i \(-0.703835\pi\)
0.993190 + 0.116503i \(0.0371686\pi\)
\(720\) 18.1888 3.13297i 0.677858 0.116759i
\(721\) 50.4015 12.4979i 1.87705 0.465445i
\(722\) −0.445628 + 0.445628i −0.0165846 + 0.0165846i
\(723\) 8.91200 8.13394i 0.331441 0.302505i
\(724\) −2.70539 4.68587i −0.100545 0.174149i
\(725\) −7.10292 12.3026i −0.263796 0.456908i
\(726\) 12.1887 + 13.3546i 0.452365 + 0.495637i
\(727\) 22.5796i 0.837432i 0.908117 + 0.418716i \(0.137520\pi\)
−0.908117 + 0.418716i \(0.862480\pi\)
\(728\) 3.71271 2.76374i 0.137602 0.102431i
\(729\) −25.9951 7.29744i −0.962783 0.270275i
\(730\) 5.50389 + 20.5408i 0.203708 + 0.760249i
\(731\) 2.83591 1.63732i 0.104890 0.0605583i
\(732\) 13.6523 21.3365i 0.504603 0.788619i
\(733\) 7.49980 + 27.9896i 0.277011 + 1.03382i 0.954482 + 0.298270i \(0.0964096\pi\)
−0.677470 + 0.735550i \(0.736924\pi\)
\(734\) −25.7681 25.7681i −0.951119 0.951119i
\(735\) −5.68196 + 15.8165i −0.209582 + 0.583402i
\(736\) 3.91116 + 3.91116i 0.144167 + 0.144167i
\(737\) 1.23144 + 0.710974i 0.0453608 + 0.0261891i
\(738\) 4.63735 50.6923i 0.170703 1.86601i
\(739\) −11.8341 + 44.1656i −0.435326 + 1.62466i 0.304959 + 0.952366i \(0.401357\pi\)
−0.740285 + 0.672293i \(0.765309\pi\)
\(740\) 6.23763 10.8039i 0.229300 0.397159i
\(741\) 25.3396 9.28505i 0.930873 0.341095i
\(742\) −1.14611 + 61.1655i −0.0420752 + 2.24545i
\(743\) −12.5735 12.5735i −0.461277 0.461277i 0.437797 0.899074i \(-0.355759\pi\)
−0.899074 + 0.437797i \(0.855759\pi\)
\(744\) 4.80510 + 0.219328i 0.176164 + 0.00804096i
\(745\) 0.866567 0.500313i 0.0317486 0.0183300i
\(746\) 3.92244 14.6388i 0.143611 0.535963i
\(747\) 1.52170 4.12988i 0.0556762 0.151105i
\(748\) 6.45233 + 6.45233i 0.235920 + 0.235920i
\(749\) −14.2260 + 3.52757i −0.519807 + 0.128895i
\(750\) −33.3476 + 17.2758i −1.21768 + 0.630824i
\(751\) −12.0283 6.94455i −0.438919 0.253410i 0.264220 0.964462i \(-0.414886\pi\)
−0.703139 + 0.711052i \(0.748219\pi\)
\(752\) 18.4467 + 4.94278i 0.672682 + 0.180245i
\(753\) 18.7528 + 11.9991i 0.683390 + 0.437272i
\(754\) 19.5057 25.6396i 0.710354 0.933740i
\(755\) 25.3139i 0.921266i
\(756\) 21.9861 + 9.74922i 0.799626 + 0.354576i
\(757\) −42.8297 −1.55667 −0.778336 0.627848i \(-0.783936\pi\)
−0.778336 + 0.627848i \(0.783936\pi\)
\(758\) −9.63097 + 16.6813i −0.349812 + 0.605893i
\(759\) −2.90685 + 0.638398i −0.105512 + 0.0231724i
\(760\) 2.80733 + 0.752221i 0.101832 + 0.0272859i
\(761\) 2.47352 + 9.23131i 0.0896651 + 0.334635i 0.996157 0.0875891i \(-0.0279163\pi\)
−0.906492 + 0.422224i \(0.861250\pi\)
\(762\) 4.59336 14.4683i 0.166400 0.524133i
\(763\) −27.9064 + 15.4220i −1.01028 + 0.558316i
\(764\) −21.7226 −0.785897
\(765\) 3.16645 8.59371i 0.114483 0.310706i
\(766\) 28.4971 16.4528i 1.02964 0.594464i
\(767\) −10.1885 24.3117i −0.367886 0.877846i
\(768\) 1.51858 33.2696i 0.0547972 1.20051i
\(769\) −1.62419 + 1.62419i −0.0585700 + 0.0585700i −0.735785 0.677215i \(-0.763187\pi\)
0.677215 + 0.735785i \(0.263187\pi\)
\(770\) 8.68057 14.4050i 0.312826 0.519121i
\(771\) 15.4536 8.00579i 0.556548 0.288321i
\(772\) 9.60674 + 35.8528i 0.345754 + 1.29037i
\(773\) &minu