Properties

Label 483.2.r.a.181.13
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.13
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.112500 - 0.782453i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(1.31941 - 0.387413i) q^{4} +(-1.72931 + 1.99573i) q^{5} +(-0.222709 + 0.758479i) q^{6} +(-1.86264 + 1.87898i) q^{7} +(-1.10834 - 2.42692i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.112500 - 0.782453i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(1.31941 - 0.387413i) q^{4} +(-1.72931 + 1.99573i) q^{5} +(-0.222709 + 0.758479i) q^{6} +(-1.86264 + 1.87898i) q^{7} +(-1.10834 - 2.42692i) q^{8} +(0.654861 + 0.755750i) q^{9} +(1.75611 + 1.12858i) q^{10} +(2.41388 + 0.347064i) q^{11} +(-1.36111 - 0.195699i) q^{12} +(3.57139 - 5.55718i) q^{13} +(1.67976 + 1.24604i) q^{14} +(2.40209 - 1.09700i) q^{15} +(0.539369 - 0.346631i) q^{16} +(4.61157 + 1.35408i) q^{17} +(0.517667 - 0.597420i) q^{18} +(8.15115 - 2.39339i) q^{19} +(-1.50849 + 3.30313i) q^{20} +(2.47487 - 0.935413i) q^{21} -1.92779i q^{22} +(-3.22132 + 3.55290i) q^{23} +2.66802i q^{24} +(-0.280847 - 1.95333i) q^{25} +(-4.75002 - 2.16926i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-1.72964 + 3.20076i) q^{28} +(5.41572 + 1.59020i) q^{29} +(-1.12858 - 1.75611i) q^{30} +(-0.351622 + 0.160580i) q^{31} +(-3.82627 - 4.41575i) q^{32} +(-2.05157 - 1.31846i) q^{33} +(0.540704 - 3.76068i) q^{34} +(-0.528856 - 6.96665i) q^{35} +(1.15682 + 0.743441i) q^{36} +(-3.16124 + 2.73923i) q^{37} +(-2.78972 - 6.10864i) q^{38} +(-5.55718 + 3.57139i) q^{39} +(6.76012 + 1.98495i) q^{40} +(-3.75722 - 3.25565i) q^{41} +(-1.01034 - 1.83124i) q^{42} +(7.91872 + 3.61636i) q^{43} +(3.31935 - 0.477251i) q^{44} -2.64072 q^{45} +(3.14237 + 2.12084i) q^{46} +10.2574i q^{47} +(-0.634623 + 0.0912451i) q^{48} +(-0.0611428 - 6.99973i) q^{49} +(-1.49680 + 0.439499i) q^{50} +(-3.63233 - 3.14743i) q^{51} +(2.55919 - 8.71580i) q^{52} +(-4.81898 - 7.49847i) q^{53} +(-0.719064 + 0.328385i) q^{54} +(-4.86698 + 4.21726i) q^{55} +(6.62457 + 2.43793i) q^{56} +(-8.40880 - 1.20900i) q^{57} +(0.634989 - 4.41645i) q^{58} +(0.711705 - 1.10743i) q^{59} +(2.74434 - 2.37799i) q^{60} +(2.14833 + 4.70418i) q^{61} +(0.165204 + 0.257063i) q^{62} +(-2.63981 - 0.177218i) q^{63} +(-2.18494 + 2.52155i) q^{64} +(4.91460 + 16.7376i) q^{65} +(-0.800834 + 1.75358i) q^{66} +(-5.63635 + 0.810385i) q^{67} +6.60914 q^{68} +(4.40615 - 1.89364i) q^{69} +(-5.39158 + 1.19755i) q^{70} +(-0.314576 - 2.18793i) q^{71} +(1.10834 - 2.42692i) q^{72} +(-2.31353 - 7.87917i) q^{73} +(2.49896 + 2.16536i) q^{74} +(-0.555976 + 1.89348i) q^{75} +(9.82747 - 6.31573i) q^{76} +(-5.14832 + 3.88918i) q^{77} +(3.41963 + 3.94646i) q^{78} +(3.38224 - 5.26287i) q^{79} +(-0.240953 + 1.67586i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-2.12471 + 3.30611i) q^{82} +(-2.37388 - 2.73960i) q^{83} +(2.90298 - 2.19299i) q^{84} +(-10.6772 + 6.86182i) q^{85} +(1.93878 - 6.60287i) q^{86} +(-4.26572 - 3.69627i) q^{87} +(-1.83310 - 6.24296i) q^{88} +(-0.867930 + 1.90050i) q^{89} +(0.297081 + 2.06624i) q^{90} +(3.78964 + 17.0616i) q^{91} +(-2.87380 + 5.93571i) q^{92} +0.386554 q^{93} +(8.02595 - 1.15396i) q^{94} +(-9.31928 + 20.4064i) q^{95} +(1.64613 + 5.60620i) q^{96} +(-3.63902 + 4.19966i) q^{97} +(-5.47009 + 0.835310i) q^{98} +(1.31846 + 2.05157i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 4q^{2} - 36q^{4} + 12q^{8} + 32q^{9} + O(q^{10}) \) \( 320q + 4q^{2} - 36q^{4} + 12q^{8} + 32q^{9} - 4q^{18} + 52q^{23} - 68q^{25} - 88q^{28} + 24q^{32} + 28q^{35} + 14q^{36} - 44q^{37} + 110q^{42} - 44q^{43} - 154q^{44} + 40q^{46} - 16q^{49} - 166q^{50} - 44q^{51} + 110q^{56} - 44q^{57} - 62q^{58} - 84q^{64} + 72q^{70} - 40q^{71} - 12q^{72} + 22q^{74} + 72q^{77} - 8q^{78} - 88q^{79} - 32q^{81} - 304q^{85} + 330q^{88} - 412q^{92} + 24q^{93} + 148q^{95} - 60q^{98} + 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.112500 0.782453i −0.0795494 0.553278i −0.990152 0.139995i \(-0.955291\pi\)
0.910603 0.413283i \(-0.135618\pi\)
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) 1.31941 0.387413i 0.659704 0.193707i
\(5\) −1.72931 + 1.99573i −0.773369 + 0.892516i −0.996612 0.0822473i \(-0.973790\pi\)
0.223243 + 0.974763i \(0.428336\pi\)
\(6\) −0.222709 + 0.758479i −0.0909208 + 0.309648i
\(7\) −1.86264 + 1.87898i −0.704012 + 0.710188i
\(8\) −1.10834 2.42692i −0.391856 0.858046i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 1.75611 + 1.12858i 0.555330 + 0.356889i
\(11\) 2.41388 + 0.347064i 0.727812 + 0.104644i 0.496254 0.868177i \(-0.334709\pi\)
0.231558 + 0.972821i \(0.425618\pi\)
\(12\) −1.36111 0.195699i −0.392920 0.0564933i
\(13\) 3.57139 5.55718i 0.990524 1.54129i 0.157894 0.987456i \(-0.449530\pi\)
0.832630 0.553830i \(-0.186834\pi\)
\(14\) 1.67976 + 1.24604i 0.448935 + 0.333019i
\(15\) 2.40209 1.09700i 0.620216 0.283243i
\(16\) 0.539369 0.346631i 0.134842 0.0866579i
\(17\) 4.61157 + 1.35408i 1.11847 + 0.328413i 0.788167 0.615462i \(-0.211030\pi\)
0.330304 + 0.943874i \(0.392849\pi\)
\(18\) 0.517667 0.597420i 0.122015 0.140813i
\(19\) 8.15115 2.39339i 1.87000 0.549082i 0.871752 0.489947i \(-0.162984\pi\)
0.998250 0.0591349i \(-0.0188342\pi\)
\(20\) −1.50849 + 3.30313i −0.337309 + 0.738603i
\(21\) 2.47487 0.935413i 0.540062 0.204124i
\(22\) 1.92779i 0.411007i
\(23\) −3.22132 + 3.55290i −0.671692 + 0.740830i
\(24\) 2.66802i 0.544608i
\(25\) −0.280847 1.95333i −0.0561694 0.390666i
\(26\) −4.75002 2.16926i −0.931555 0.425427i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −1.72964 + 3.20076i −0.326871 + 0.604886i
\(29\) 5.41572 + 1.59020i 1.00567 + 0.295293i 0.742783 0.669533i \(-0.233506\pi\)
0.262892 + 0.964825i \(0.415324\pi\)
\(30\) −1.12858 1.75611i −0.206050 0.320620i
\(31\) −0.351622 + 0.160580i −0.0631532 + 0.0288411i −0.446741 0.894663i \(-0.647416\pi\)
0.383588 + 0.923504i \(0.374688\pi\)
\(32\) −3.82627 4.41575i −0.676395 0.780602i
\(33\) −2.05157 1.31846i −0.357132 0.229515i
\(34\) 0.540704 3.76068i 0.0927299 0.644951i
\(35\) −0.528856 6.96665i −0.0893930 1.17758i
\(36\) 1.15682 + 0.743441i 0.192803 + 0.123907i
\(37\) −3.16124 + 2.73923i −0.519704 + 0.450326i −0.874786 0.484509i \(-0.838998\pi\)
0.355082 + 0.934835i \(0.384453\pi\)
\(38\) −2.78972 6.10864i −0.452553 0.990952i
\(39\) −5.55718 + 3.57139i −0.889862 + 0.571879i
\(40\) 6.76012 + 1.98495i 1.06887 + 0.313848i
\(41\) −3.75722 3.25565i −0.586780 0.508448i 0.310111 0.950700i \(-0.399634\pi\)
−0.896890 + 0.442253i \(0.854179\pi\)
\(42\) −1.01034 1.83124i −0.155899 0.282566i
\(43\) 7.91872 + 3.61636i 1.20759 + 0.551489i 0.914497 0.404594i \(-0.132587\pi\)
0.293096 + 0.956083i \(0.405314\pi\)
\(44\) 3.31935 0.477251i 0.500411 0.0719482i
\(45\) −2.64072 −0.393656
\(46\) 3.14237 + 2.12084i 0.463318 + 0.312700i
\(47\) 10.2574i 1.49620i 0.663587 + 0.748099i \(0.269033\pi\)
−0.663587 + 0.748099i \(0.730967\pi\)
\(48\) −0.634623 + 0.0912451i −0.0916000 + 0.0131701i
\(49\) −0.0611428 6.99973i −0.00873469 0.999962i
\(50\) −1.49680 + 0.439499i −0.211679 + 0.0621546i
\(51\) −3.63233 3.14743i −0.508628 0.440729i
\(52\) 2.55919 8.71580i 0.354896 1.20866i
\(53\) −4.81898 7.49847i −0.661937 1.02999i −0.996164 0.0875018i \(-0.972112\pi\)
0.334227 0.942493i \(-0.391525\pi\)
\(54\) −0.719064 + 0.328385i −0.0978522 + 0.0446876i
\(55\) −4.86698 + 4.21726i −0.656263 + 0.568656i
\(56\) 6.62457 + 2.43793i 0.885245 + 0.325783i
\(57\) −8.40880 1.20900i −1.11377 0.160136i
\(58\) 0.634989 4.41645i 0.0833782 0.579908i
\(59\) 0.711705 1.10743i 0.0926561 0.144176i −0.791831 0.610740i \(-0.790872\pi\)
0.884487 + 0.466564i \(0.154508\pi\)
\(60\) 2.74434 2.37799i 0.354293 0.306997i
\(61\) 2.14833 + 4.70418i 0.275065 + 0.602309i 0.995866 0.0908333i \(-0.0289531\pi\)
−0.720801 + 0.693142i \(0.756226\pi\)
\(62\) 0.165204 + 0.257063i 0.0209809 + 0.0326470i
\(63\) −2.63981 0.177218i −0.332585 0.0223274i
\(64\) −2.18494 + 2.52155i −0.273117 + 0.315194i
\(65\) 4.91460 + 16.7376i 0.609581 + 2.07604i
\(66\) −0.800834 + 1.75358i −0.0985759 + 0.215851i
\(67\) −5.63635 + 0.810385i −0.688590 + 0.0990043i −0.477723 0.878510i \(-0.658538\pi\)
−0.210867 + 0.977515i \(0.567629\pi\)
\(68\) 6.60914 0.801476
\(69\) 4.40615 1.89364i 0.530438 0.227968i
\(70\) −5.39158 + 1.19755i −0.644418 + 0.143135i
\(71\) −0.314576 2.18793i −0.0373334 0.259659i 0.962603 0.270915i \(-0.0873262\pi\)
−0.999937 + 0.0112557i \(0.996417\pi\)
\(72\) 1.10834 2.42692i 0.130619 0.286015i
\(73\) −2.31353 7.87917i −0.270779 0.922188i −0.976828 0.214025i \(-0.931343\pi\)
0.706049 0.708163i \(-0.250476\pi\)
\(74\) 2.49896 + 2.16536i 0.290498 + 0.251718i
\(75\) −0.555976 + 1.89348i −0.0641986 + 0.218640i
\(76\) 9.82747 6.31573i 1.12729 0.724464i
\(77\) −5.14832 + 3.88918i −0.586705 + 0.443213i
\(78\) 3.41963 + 3.94646i 0.387196 + 0.446848i
\(79\) 3.38224 5.26287i 0.380532 0.592119i −0.597171 0.802114i \(-0.703709\pi\)
0.977702 + 0.209995i \(0.0673449\pi\)
\(80\) −0.240953 + 1.67586i −0.0269394 + 0.187367i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −2.12471 + 3.30611i −0.234635 + 0.365099i
\(83\) −2.37388 2.73960i −0.260567 0.300710i 0.610359 0.792125i \(-0.291025\pi\)
−0.870926 + 0.491415i \(0.836480\pi\)
\(84\) 2.90298 2.19299i 0.316741 0.239275i
\(85\) −10.6772 + 6.86182i −1.15810 + 0.744269i
\(86\) 1.93878 6.60287i 0.209064 0.712005i
\(87\) −4.26572 3.69627i −0.457333 0.396282i
\(88\) −1.83310 6.24296i −0.195409 0.665501i
\(89\) −0.867930 + 1.90050i −0.0920004 + 0.201453i −0.950038 0.312134i \(-0.898956\pi\)
0.858038 + 0.513587i \(0.171684\pi\)
\(90\) 0.297081 + 2.06624i 0.0313151 + 0.217801i
\(91\) 3.78964 + 17.0616i 0.397262 + 1.78854i
\(92\) −2.87380 + 5.93571i −0.299615 + 0.618840i
\(93\) 0.386554 0.0400838
\(94\) 8.02595 1.15396i 0.827813 0.119022i
\(95\) −9.31928 + 20.4064i −0.956138 + 2.09365i
\(96\) 1.64613 + 5.60620i 0.168007 + 0.572180i
\(97\) −3.63902 + 4.19966i −0.369487 + 0.426410i −0.909796 0.415056i \(-0.863762\pi\)
0.540309 + 0.841467i \(0.318307\pi\)
\(98\) −5.47009 + 0.835310i −0.552562 + 0.0843791i
\(99\) 1.31846 + 2.05157i 0.132510 + 0.206190i
\(100\) −1.12730 2.46844i −0.112730 0.246844i
\(101\) −0.282896 + 0.245131i −0.0281492 + 0.0243914i −0.668822 0.743423i \(-0.733201\pi\)
0.640673 + 0.767814i \(0.278656\pi\)
\(102\) −2.05408 + 3.19622i −0.203384 + 0.316472i
\(103\) −0.552136 + 3.84019i −0.0544035 + 0.378385i 0.944371 + 0.328883i \(0.106672\pi\)
−0.998774 + 0.0495014i \(0.984237\pi\)
\(104\) −17.4451 2.50823i −1.71064 0.245952i
\(105\) −2.41299 + 6.55678i −0.235483 + 0.639877i
\(106\) −5.32507 + 4.61420i −0.517217 + 0.448171i
\(107\) −4.81326 + 2.19814i −0.465315 + 0.212502i −0.634255 0.773124i \(-0.718693\pi\)
0.168940 + 0.985626i \(0.445966\pi\)
\(108\) −0.743441 1.15682i −0.0715376 0.111315i
\(109\) 1.54595 5.26504i 0.148076 0.504299i −0.851731 0.523980i \(-0.824447\pi\)
0.999806 + 0.0196806i \(0.00626493\pi\)
\(110\) 3.84735 + 3.33374i 0.366830 + 0.317860i
\(111\) 4.01348 1.17846i 0.380943 0.111855i
\(112\) −0.353336 + 1.65911i −0.0333872 + 0.156772i
\(113\) 10.3051 1.48165i 0.969424 0.139382i 0.360628 0.932710i \(-0.382562\pi\)
0.608795 + 0.793328i \(0.291653\pi\)
\(114\) 6.71551i 0.628965i
\(115\) −1.51995 12.5729i −0.141736 1.17243i
\(116\) 7.76161 0.720648
\(117\) 6.53860 0.940109i 0.604494 0.0869131i
\(118\) −0.946582 0.432290i −0.0871400 0.0397955i
\(119\) −11.1340 + 6.14290i −1.02065 + 0.563119i
\(120\) −5.32464 4.61383i −0.486071 0.421183i
\(121\) −4.84806 1.42352i −0.440733 0.129411i
\(122\) 3.43912 2.21019i 0.311363 0.200101i
\(123\) 2.06524 + 4.52225i 0.186217 + 0.407758i
\(124\) −0.401722 + 0.348094i −0.0360757 + 0.0312598i
\(125\) −6.72360 4.32100i −0.601377 0.386482i
\(126\) 0.158313 + 2.08547i 0.0141036 + 0.185788i
\(127\) −1.38648 + 9.64321i −0.123031 + 0.855697i 0.831061 + 0.556182i \(0.187734\pi\)
−0.954091 + 0.299515i \(0.903175\pi\)
\(128\) −7.61188 4.89186i −0.672801 0.432383i
\(129\) −5.70083 6.57911i −0.501930 0.579258i
\(130\) 12.5435 5.72842i 1.10014 0.502415i
\(131\) 5.05287 + 7.86241i 0.441471 + 0.686942i 0.988678 0.150055i \(-0.0479452\pi\)
−0.547207 + 0.836998i \(0.684309\pi\)
\(132\) −3.21765 0.944786i −0.280060 0.0822331i
\(133\) −10.6855 + 19.7739i −0.926552 + 1.71461i
\(134\) 1.26818 + 4.31902i 0.109554 + 0.373106i
\(135\) 2.40209 + 1.09700i 0.206739 + 0.0944144i
\(136\) −1.82493 12.6927i −0.156487 1.08839i
\(137\) 15.8226i 1.35182i −0.736985 0.675909i \(-0.763751\pi\)
0.736985 0.675909i \(-0.236249\pi\)
\(138\) −1.97738 3.23457i −0.168326 0.275345i
\(139\) 5.43160i 0.460702i −0.973108 0.230351i \(-0.926013\pi\)
0.973108 0.230351i \(-0.0739875\pi\)
\(140\) −3.39675 8.98698i −0.287078 0.759538i
\(141\) 4.26108 9.33047i 0.358848 0.785767i
\(142\) −1.67656 + 0.492283i −0.140694 + 0.0413115i
\(143\) 10.5496 12.1749i 0.882201 1.01811i
\(144\) 0.615178 + 0.180633i 0.0512648 + 0.0150527i
\(145\) −12.5390 + 8.05835i −1.04131 + 0.669210i
\(146\) −5.90482 + 2.69664i −0.488686 + 0.223175i
\(147\) −2.85218 + 6.39258i −0.235244 + 0.527251i
\(148\) −3.10975 + 4.83887i −0.255620 + 0.397752i
\(149\) 9.24992 + 1.32994i 0.757783 + 0.108953i 0.510367 0.859957i \(-0.329509\pi\)
0.247416 + 0.968909i \(0.420419\pi\)
\(150\) 1.54411 + 0.222009i 0.126076 + 0.0181270i
\(151\) 19.4166 + 12.4783i 1.58010 + 1.01547i 0.975786 + 0.218727i \(0.0701905\pi\)
0.604317 + 0.796744i \(0.293446\pi\)
\(152\) −14.8428 17.1295i −1.20391 1.38939i
\(153\) 1.99659 + 4.37193i 0.161415 + 0.353450i
\(154\) 3.62229 + 3.59079i 0.291892 + 0.289354i
\(155\) 0.287588 0.979433i 0.0230996 0.0786700i
\(156\) −5.94860 + 6.86504i −0.476269 + 0.549643i
\(157\) −3.00386 + 0.882013i −0.239734 + 0.0703923i −0.399393 0.916780i \(-0.630779\pi\)
0.159658 + 0.987172i \(0.448961\pi\)
\(158\) −4.49845 2.05437i −0.357877 0.163437i
\(159\) 1.26852 + 8.82273i 0.100600 + 0.699688i
\(160\) 15.4294 1.21980
\(161\) −0.675662 12.6706i −0.0532496 0.998581i
\(162\) 0.790500 0.0621075
\(163\) 0.875174 + 6.08697i 0.0685489 + 0.476768i 0.994961 + 0.100258i \(0.0319669\pi\)
−0.926413 + 0.376510i \(0.877124\pi\)
\(164\) −6.21860 2.83994i −0.485591 0.221762i
\(165\) 6.17907 1.81434i 0.481040 0.141246i
\(166\) −1.87655 + 2.16565i −0.145649 + 0.168087i
\(167\) 2.86487 9.75685i 0.221690 0.755008i −0.771264 0.636515i \(-0.780375\pi\)
0.992955 0.118493i \(-0.0378064\pi\)
\(168\) −5.01317 4.96957i −0.386774 0.383410i
\(169\) −12.7271 27.8685i −0.979008 2.14373i
\(170\) 6.57024 + 7.58246i 0.503914 + 0.581548i
\(171\) 7.14667 + 4.59289i 0.546520 + 0.351227i
\(172\) 11.8490 + 1.70364i 0.903482 + 0.129901i
\(173\) 15.1995 + 2.18536i 1.15560 + 0.166150i 0.693350 0.720601i \(-0.256134\pi\)
0.462247 + 0.886751i \(0.347043\pi\)
\(174\) −2.41226 + 3.75356i −0.182873 + 0.284556i
\(175\) 4.19339 + 3.11065i 0.316991 + 0.235143i
\(176\) 1.42228 0.649531i 0.107208 0.0489603i
\(177\) −1.10743 + 0.711705i −0.0832399 + 0.0534950i
\(178\) 1.58470 + 0.465309i 0.118778 + 0.0348764i
\(179\) −14.1133 + 16.2876i −1.05488 + 1.21740i −0.0795058 + 0.996834i \(0.525334\pi\)
−0.975373 + 0.220561i \(0.929211\pi\)
\(180\) −3.48419 + 1.02305i −0.259696 + 0.0762538i
\(181\) −7.08882 + 15.5224i −0.526908 + 1.15377i 0.439849 + 0.898072i \(0.355032\pi\)
−0.966757 + 0.255696i \(0.917695\pi\)
\(182\) 12.9236 4.88464i 0.957959 0.362074i
\(183\) 5.17152i 0.382290i
\(184\) 12.1929 + 3.88008i 0.898873 + 0.286044i
\(185\) 11.0459i 0.812112i
\(186\) −0.0434873 0.302461i −0.00318864 0.0221775i
\(187\) 10.6618 + 4.86910i 0.779671 + 0.356064i
\(188\) 3.97386 + 13.5337i 0.289823 + 0.987048i
\(189\) 2.32764 + 1.25782i 0.169311 + 0.0914929i
\(190\) 17.0154 + 4.99619i 1.23443 + 0.362461i
\(191\) −6.90269 10.7408i −0.499461 0.777177i 0.496397 0.868096i \(-0.334656\pi\)
−0.995858 + 0.0909188i \(0.971020\pi\)
\(192\) 3.03498 1.38603i 0.219031 0.100028i
\(193\) −6.39369 7.37871i −0.460228 0.531131i 0.477440 0.878664i \(-0.341565\pi\)
−0.937668 + 0.347533i \(0.887019\pi\)
\(194\) 3.69542 + 2.37490i 0.265316 + 0.170508i
\(195\) 2.48257 17.2666i 0.177780 1.23649i
\(196\) −2.79246 9.21182i −0.199462 0.657987i
\(197\) −6.42419 4.12858i −0.457705 0.294149i 0.291399 0.956602i \(-0.405879\pi\)
−0.749104 + 0.662453i \(0.769516\pi\)
\(198\) 1.45693 1.26244i 0.103539 0.0897174i
\(199\) 7.90683 + 17.3135i 0.560500 + 1.22732i 0.951703 + 0.307020i \(0.0993318\pi\)
−0.391203 + 0.920304i \(0.627941\pi\)
\(200\) −4.42931 + 2.84654i −0.313199 + 0.201281i
\(201\) 5.46365 + 1.60427i 0.385376 + 0.113157i
\(202\) 0.223629 + 0.193776i 0.0157345 + 0.0136340i
\(203\) −13.0755 + 7.21407i −0.917720 + 0.506329i
\(204\) −6.01189 2.74554i −0.420916 0.192226i
\(205\) 12.9948 1.86837i 0.907595 0.130492i
\(206\) 3.06688 0.213680
\(207\) −4.79462 0.107861i −0.333249 0.00749684i
\(208\) 4.23533i 0.293667i
\(209\) 20.5066 2.94840i 1.41847 0.203945i
\(210\) 5.40184 + 1.15041i 0.372762 + 0.0793860i
\(211\) −3.97264 + 1.16647i −0.273488 + 0.0803033i −0.415601 0.909547i \(-0.636429\pi\)
0.142113 + 0.989850i \(0.454610\pi\)
\(212\) −9.26321 8.02661i −0.636200 0.551270i
\(213\) −0.622749 + 2.12089i −0.0426701 + 0.145321i
\(214\) 2.26143 + 3.51886i 0.154588 + 0.240544i
\(215\) −20.9111 + 9.54980i −1.42613 + 0.651291i
\(216\) −2.01636 + 1.74718i −0.137196 + 0.118881i
\(217\) 0.353218 0.959795i 0.0239780 0.0651551i
\(218\) −4.29357 0.617322i −0.290797 0.0418103i
\(219\) −1.16866 + 8.12823i −0.0789709 + 0.549255i
\(220\) −4.78771 + 7.44983i −0.322787 + 0.502267i
\(221\) 23.9946 20.7914i 1.61405 1.39858i
\(222\) −1.37361 3.00778i −0.0921906 0.201869i
\(223\) −5.69677 8.86434i −0.381484 0.593600i 0.596416 0.802676i \(-0.296591\pi\)
−0.977900 + 0.209075i \(0.932955\pi\)
\(224\) 15.4241 + 1.03546i 1.03056 + 0.0691849i
\(225\) 1.29231 1.49141i 0.0861543 0.0994274i
\(226\) −2.31865 7.89659i −0.154234 0.525273i
\(227\) 9.69482 21.2287i 0.643468 1.40900i −0.253689 0.967286i \(-0.581644\pi\)
0.897157 0.441712i \(-0.145629\pi\)
\(228\) −11.5630 + 1.66251i −0.765780 + 0.110103i
\(229\) −26.4321 −1.74668 −0.873342 0.487108i \(-0.838052\pi\)
−0.873342 + 0.487108i \(0.838052\pi\)
\(230\) −9.66673 + 2.60374i −0.637405 + 0.171686i
\(231\) 6.29870 1.39904i 0.414424 0.0920498i
\(232\) −2.14316 14.9060i −0.140705 0.978627i
\(233\) 6.22711 13.6355i 0.407951 0.893289i −0.588450 0.808533i \(-0.700262\pi\)
0.996402 0.0847555i \(-0.0270109\pi\)
\(234\) −1.47118 5.01039i −0.0961742 0.327539i
\(235\) −20.4710 17.7382i −1.33538 1.15711i
\(236\) 0.509995 1.73688i 0.0331978 0.113061i
\(237\) −5.26287 + 3.38224i −0.341860 + 0.219700i
\(238\) 6.05910 + 8.02076i 0.392753 + 0.519909i
\(239\) −0.785889 0.906965i −0.0508350 0.0586667i 0.729763 0.683701i \(-0.239631\pi\)
−0.780598 + 0.625034i \(0.785085\pi\)
\(240\) 0.915358 1.42432i 0.0590861 0.0919397i
\(241\) 0.543299 3.77872i 0.0349969 0.243409i −0.964812 0.262939i \(-0.915308\pi\)
0.999809 + 0.0195305i \(0.00621713\pi\)
\(242\) −0.568431 + 3.95353i −0.0365402 + 0.254142i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) 4.65699 + 5.37445i 0.298133 + 0.344064i
\(245\) 14.0753 + 11.9827i 0.899237 + 0.765544i
\(246\) 3.30611 2.12471i 0.210790 0.135467i
\(247\) 15.8104 53.8452i 1.00599 3.42609i
\(248\) 0.779431 + 0.675381i 0.0494939 + 0.0428867i
\(249\) 1.02128 + 3.47817i 0.0647213 + 0.220420i
\(250\) −2.62458 + 5.74702i −0.165993 + 0.363473i
\(251\) 1.93585 + 13.4642i 0.122190 + 0.849850i 0.955067 + 0.296391i \(0.0957832\pi\)
−0.832877 + 0.553459i \(0.813308\pi\)
\(252\) −3.55164 + 0.788874i −0.223733 + 0.0496944i
\(253\) −9.00897 + 7.45826i −0.566389 + 0.468897i
\(254\) 7.70135 0.483225
\(255\) 12.5628 1.80626i 0.786714 0.113112i
\(256\) −5.74337 + 12.5762i −0.358961 + 0.786014i
\(257\) 0.421064 + 1.43401i 0.0262652 + 0.0894511i 0.971583 0.236701i \(-0.0760661\pi\)
−0.945317 + 0.326152i \(0.894248\pi\)
\(258\) −4.50650 + 5.20078i −0.280563 + 0.323787i
\(259\) 0.741289 11.0421i 0.0460615 0.686123i
\(260\) 12.9687 + 20.1797i 0.804286 + 1.25149i
\(261\) 2.34475 + 5.13429i 0.145136 + 0.317804i
\(262\) 5.58353 4.83815i 0.344951 0.298902i
\(263\) −11.1638 + 17.3712i −0.688388 + 1.07115i 0.304547 + 0.952497i \(0.401495\pi\)
−0.992935 + 0.118656i \(0.962142\pi\)
\(264\) −0.925974 + 6.44029i −0.0569897 + 0.396372i
\(265\) 23.2984 + 3.34980i 1.43121 + 0.205777i
\(266\) 16.6743 + 6.13636i 1.02237 + 0.376244i
\(267\) 1.57899 1.36821i 0.0966328 0.0837328i
\(268\) −7.12270 + 3.25283i −0.435088 + 0.198698i
\(269\) −1.36643 2.12621i −0.0833130 0.129638i 0.797096 0.603852i \(-0.206368\pi\)
−0.880409 + 0.474215i \(0.842732\pi\)
\(270\) 0.588114 2.00293i 0.0357915 0.121895i
\(271\) −14.9580 12.9612i −0.908636 0.787337i 0.0690057 0.997616i \(-0.478017\pi\)
−0.977641 + 0.210279i \(0.932563\pi\)
\(272\) 2.95671 0.868168i 0.179277 0.0526404i
\(273\) 3.64047 17.0941i 0.220331 1.03458i
\(274\) −12.3805 + 1.78004i −0.747932 + 0.107536i
\(275\) 4.81258i 0.290210i
\(276\) 5.07988 4.20549i 0.305773 0.253141i
\(277\) −7.85706 −0.472085 −0.236043 0.971743i \(-0.575850\pi\)
−0.236043 + 0.971743i \(0.575850\pi\)
\(278\) −4.24997 + 0.611054i −0.254896 + 0.0366486i
\(279\) −0.351622 0.160580i −0.0210511 0.00961369i
\(280\) −16.3214 + 9.00489i −0.975387 + 0.538145i
\(281\) −1.84310 1.59706i −0.109950 0.0952726i 0.598151 0.801384i \(-0.295902\pi\)
−0.708101 + 0.706111i \(0.750448\pi\)
\(282\) −7.78003 2.28442i −0.463294 0.136035i
\(283\) −24.4405 + 15.7070i −1.45284 + 0.933682i −0.453743 + 0.891133i \(0.649911\pi\)
−0.999094 + 0.0425488i \(0.986452\pi\)
\(284\) −1.26269 2.76490i −0.0749267 0.164067i
\(285\) 16.9542 14.6909i 1.00428 0.870215i
\(286\) −10.7131 6.88489i −0.633479 0.407112i
\(287\) 13.1157 0.995644i 0.774193 0.0587710i
\(288\) 0.831528 5.78340i 0.0489982 0.340790i
\(289\) 5.13178 + 3.29799i 0.301869 + 0.194000i
\(290\) 7.71593 + 8.90465i 0.453095 + 0.522899i
\(291\) 5.05477 2.30844i 0.296316 0.135323i
\(292\) −6.10500 9.49956i −0.357268 0.555920i
\(293\) 9.12108 + 2.67819i 0.532859 + 0.156462i 0.537083 0.843529i \(-0.319526\pi\)
−0.00422350 + 0.999991i \(0.501344\pi\)
\(294\) 5.32277 + 1.51253i 0.310430 + 0.0882126i
\(295\) 0.979379 + 3.33546i 0.0570217 + 0.194198i
\(296\) 10.1516 + 4.63608i 0.590050 + 0.269467i
\(297\) −0.347064 2.41388i −0.0201387 0.140068i
\(298\) 7.38725i 0.427932i
\(299\) 8.23952 + 30.5903i 0.476504 + 1.76908i
\(300\) 2.71367i 0.156674i
\(301\) −21.5448 + 8.14315i −1.24182 + 0.469363i
\(302\) 7.57933 16.5964i 0.436142 0.955017i
\(303\) 0.359162 0.105459i 0.0206333 0.00605849i
\(304\) 3.56685 4.11637i 0.204573 0.236090i
\(305\) −13.1034 3.84750i −0.750297 0.220307i
\(306\) 3.19622 2.05408i 0.182715 0.117424i
\(307\) −14.8845 + 6.79752i −0.849503 + 0.387955i −0.792096 0.610396i \(-0.791010\pi\)
−0.0574063 + 0.998351i \(0.518283\pi\)
\(308\) −5.28601 + 7.12595i −0.301198 + 0.406038i
\(309\) 2.09751 3.26379i 0.119323 0.185671i
\(310\) −0.798715 0.114838i −0.0453639 0.00652235i
\(311\) −22.7775 3.27491i −1.29159 0.185703i −0.537944 0.842981i \(-0.680799\pi\)
−0.753648 + 0.657278i \(0.771708\pi\)
\(312\) 14.8267 + 9.52854i 0.839396 + 0.539447i
\(313\) 14.9797 + 17.2875i 0.846705 + 0.977149i 0.999939 0.0110407i \(-0.00351445\pi\)
−0.153235 + 0.988190i \(0.548969\pi\)
\(314\) 1.02807 + 2.25115i 0.0580172 + 0.127040i
\(315\) 4.91872 4.96187i 0.277138 0.279570i
\(316\) 2.42365 8.25420i 0.136341 0.464335i
\(317\) −6.90560 + 7.96948i −0.387857 + 0.447611i −0.915779 0.401682i \(-0.868426\pi\)
0.527922 + 0.849293i \(0.322971\pi\)
\(318\) 6.76066 1.98511i 0.379119 0.111319i
\(319\) 12.5210 + 5.71815i 0.701041 + 0.320155i
\(320\) −1.25390 8.72107i −0.0700952 0.487523i
\(321\) 5.29143 0.295339
\(322\) −9.83812 + 1.95411i −0.548257 + 0.108898i
\(323\) 40.8305 2.27187
\(324\) 0.195699 + 1.36111i 0.0108721 + 0.0756174i
\(325\) −11.8580 5.41539i −0.657766 0.300392i
\(326\) 4.66431 1.36957i 0.258332 0.0758532i
\(327\) −3.59343 + 4.14703i −0.198717 + 0.229332i
\(328\) −3.73694 + 12.7268i −0.206338 + 0.702722i
\(329\) −19.2735 19.1059i −1.06258 1.05334i
\(330\) −2.11478 4.63073i −0.116415 0.254913i
\(331\) 13.6871 + 15.7958i 0.752313 + 0.868215i 0.994790 0.101942i \(-0.0325056\pi\)
−0.242478 + 0.970157i \(0.577960\pi\)
\(332\) −4.19347 2.69498i −0.230147 0.147906i
\(333\) −4.14034 0.595291i −0.226889 0.0326217i
\(334\) −7.95658 1.14398i −0.435365 0.0625960i
\(335\) 8.12967 12.6500i 0.444172 0.691144i
\(336\) 1.01063 1.36240i 0.0551342 0.0743251i
\(337\) −2.45595 + 1.12159i −0.133784 + 0.0610971i −0.481182 0.876621i \(-0.659792\pi\)
0.347398 + 0.937718i \(0.387065\pi\)
\(338\) −20.3740 + 13.0936i −1.10820 + 0.712196i
\(339\) −9.98936 2.93314i −0.542548 0.159306i
\(340\) −11.4292 + 13.1900i −0.619837 + 0.715330i
\(341\) −0.904505 + 0.265587i −0.0489817 + 0.0143823i
\(342\) 2.78972 6.10864i 0.150851 0.330317i
\(343\) 13.2663 + 12.9231i 0.716310 + 0.697782i
\(344\) 23.2262i 1.25227i
\(345\) −3.84038 + 12.0681i −0.206759 + 0.649727i
\(346\) 12.1388i 0.652583i
\(347\) −0.802793 5.58355i −0.0430962 0.299741i −0.999958 0.00919622i \(-0.997073\pi\)
0.956862 0.290544i \(-0.0938364\pi\)
\(348\) −7.06021 3.22429i −0.378467 0.172840i
\(349\) −8.80103 29.9735i −0.471108 1.60445i −0.761923 0.647668i \(-0.775744\pi\)
0.290815 0.956779i \(-0.406074\pi\)
\(350\) 1.96218 3.63108i 0.104883 0.194089i
\(351\) −6.33825 1.86108i −0.338311 0.0993371i
\(352\) −7.70361 11.9870i −0.410604 0.638912i
\(353\) 27.2370 12.4387i 1.44968 0.662046i 0.473854 0.880603i \(-0.342862\pi\)
0.975824 + 0.218558i \(0.0701352\pi\)
\(354\) 0.681462 + 0.786449i 0.0362193 + 0.0417993i
\(355\) 4.91050 + 3.15579i 0.260622 + 0.167492i
\(356\) −0.408875 + 2.84379i −0.0216703 + 0.150720i
\(357\) 12.6797 0.962548i 0.671080 0.0509434i
\(358\) 14.3321 + 9.21066i 0.757473 + 0.486798i
\(359\) −23.9199 + 20.7267i −1.26244 + 1.09391i −0.271108 + 0.962549i \(0.587390\pi\)
−0.991334 + 0.131364i \(0.958064\pi\)
\(360\) 2.92681 + 6.40882i 0.154256 + 0.337775i
\(361\) 44.7291 28.7456i 2.35416 1.51293i
\(362\) 12.9430 + 3.80041i 0.680270 + 0.199745i
\(363\) 3.81860 + 3.30884i 0.200424 + 0.173669i
\(364\) 11.6100 + 21.0431i 0.608528 + 1.10296i
\(365\) 19.7255 + 9.00832i 1.03248 + 0.471517i
\(366\) −4.04648 + 0.581795i −0.211513 + 0.0304109i
\(367\) −15.0664 −0.786460 −0.393230 0.919440i \(-0.628642\pi\)
−0.393230 + 0.919440i \(0.628642\pi\)
\(368\) −0.505936 + 3.03293i −0.0263737 + 0.158103i
\(369\) 4.97152i 0.258807i
\(370\) −8.64292 + 1.24266i −0.449324 + 0.0646030i
\(371\) 23.0655 + 4.91219i 1.19750 + 0.255028i
\(372\) 0.510023 0.149756i 0.0264434 0.00776450i
\(373\) −17.2952 14.9864i −0.895511 0.775964i 0.0797979 0.996811i \(-0.474573\pi\)
−0.975309 + 0.220847i \(0.929118\pi\)
\(374\) 2.61039 8.89016i 0.134980 0.459699i
\(375\) 4.32100 + 6.72360i 0.223135 + 0.347205i
\(376\) 24.8939 11.3687i 1.28381 0.586294i
\(377\) 28.1787 24.4169i 1.45127 1.25754i
\(378\) 0.722327 1.96277i 0.0371525 0.100954i
\(379\) −22.3083 3.20745i −1.14590 0.164755i −0.456900 0.889518i \(-0.651040\pi\)
−0.688999 + 0.724763i \(0.741949\pi\)
\(380\) −4.39023 + 30.5348i −0.225214 + 1.56640i
\(381\) 5.26713 8.19581i 0.269843 0.419884i
\(382\) −7.62762 + 6.60937i −0.390263 + 0.338165i
\(383\) −11.1160 24.3407i −0.568002 1.24375i −0.947854 0.318703i \(-0.896753\pi\)
0.379853 0.925047i \(-0.375975\pi\)
\(384\) 4.89186 + 7.61188i 0.249636 + 0.388442i
\(385\) 1.14128 17.0002i 0.0581648 0.866411i
\(386\) −5.05421 + 5.83286i −0.257252 + 0.296885i
\(387\) 2.45260 + 8.35278i 0.124672 + 0.424596i
\(388\) −3.17435 + 6.95087i −0.161153 + 0.352877i
\(389\) 2.19854 0.316102i 0.111470 0.0160270i −0.0863539 0.996265i \(-0.527522\pi\)
0.197824 + 0.980238i \(0.436612\pi\)
\(390\) −13.7896 −0.698265
\(391\) −19.6663 + 12.0225i −0.994567 + 0.608005i
\(392\) −16.9200 + 7.90645i −0.854590 + 0.399336i
\(393\) −1.33008 9.25094i −0.0670939 0.466648i
\(394\) −2.50770 + 5.49110i −0.126336 + 0.276637i
\(395\) 4.65431 + 15.8511i 0.234184 + 0.797557i
\(396\) 2.53439 + 2.19607i 0.127358 + 0.110356i
\(397\) −6.17887 + 21.0433i −0.310109 + 1.05613i 0.646053 + 0.763293i \(0.276419\pi\)
−0.956161 + 0.292841i \(0.905399\pi\)
\(398\) 12.6575 8.13449i 0.634464 0.407745i
\(399\) 17.9343 13.5480i 0.897836 0.678250i
\(400\) −0.828567 0.956217i −0.0414283 0.0478108i
\(401\) −12.7335 + 19.8138i −0.635882 + 0.989452i 0.362466 + 0.931997i \(0.381935\pi\)
−0.998348 + 0.0574553i \(0.981701\pi\)
\(402\) 0.640609 4.45554i 0.0319507 0.222222i
\(403\) −0.363403 + 2.52752i −0.0181024 + 0.125905i
\(404\) −0.278288 + 0.433025i −0.0138454 + 0.0215438i
\(405\) −1.72931 1.99573i −0.0859299 0.0991684i
\(406\) 7.11567 + 9.41939i 0.353145 + 0.467476i
\(407\) −8.58153 + 5.51502i −0.425371 + 0.273369i
\(408\) −3.61272 + 12.3038i −0.178856 + 0.609128i
\(409\) 6.64009 + 5.75367i 0.328331 + 0.284501i 0.803390 0.595454i \(-0.203028\pi\)
−0.475058 + 0.879954i \(0.657573\pi\)
\(410\) −2.92382 9.95762i −0.144397 0.491772i
\(411\) −6.57296 + 14.3928i −0.324220 + 0.709943i
\(412\) 0.759247 + 5.28068i 0.0374054 + 0.260160i
\(413\) 0.755199 + 3.40003i 0.0371609 + 0.167305i
\(414\) 0.454998 + 3.76370i 0.0223619 + 0.184976i
\(415\) 9.57266 0.469903
\(416\) −38.2042 + 5.49294i −1.87312 + 0.269313i
\(417\) −2.25637 + 4.94076i −0.110495 + 0.241950i
\(418\) −4.61397 15.7137i −0.225677 0.768584i
\(419\) 16.7404 19.3195i 0.817824 0.943819i −0.181392 0.983411i \(-0.558060\pi\)
0.999216 + 0.0395917i \(0.0126057\pi\)
\(420\) −0.643531 + 9.58590i −0.0314011 + 0.467744i
\(421\) 21.2219 + 33.0219i 1.03429 + 1.60939i 0.762449 + 0.647048i \(0.223997\pi\)
0.271843 + 0.962342i \(0.412367\pi\)
\(422\) 1.35963 + 2.97718i 0.0661859 + 0.144927i
\(423\) −7.75204 + 6.71718i −0.376917 + 0.326600i
\(424\) −12.8571 + 20.0061i −0.624398 + 0.971582i
\(425\) 1.34982 9.38823i 0.0654760 0.455396i
\(426\) 1.72956 + 0.248673i 0.0837972 + 0.0120482i
\(427\) −12.8406 4.72553i −0.621402 0.228684i
\(428\) −5.49906 + 4.76496i −0.265807 + 0.230323i
\(429\) −14.6539 + 6.69220i −0.707496 + 0.323102i
\(430\) 9.82477 + 15.2876i 0.473793 + 0.737236i
\(431\) −1.37712 + 4.69003i −0.0663334 + 0.225911i −0.985988 0.166818i \(-0.946651\pi\)
0.919654 + 0.392729i \(0.128469\pi\)
\(432\) −0.484548 0.419863i −0.0233128 0.0202007i
\(433\) −9.71476 + 2.85251i −0.466861 + 0.137083i −0.506699 0.862123i \(-0.669134\pi\)
0.0398371 + 0.999206i \(0.487316\pi\)
\(434\) −0.790731 0.168400i −0.0379563 0.00808344i
\(435\) 14.7535 2.12123i 0.707375 0.101705i
\(436\) 7.54566i 0.361372i
\(437\) −17.7540 + 36.6701i −0.849289 + 1.75417i
\(438\) 6.49143 0.310173
\(439\) 3.07613 0.442281i 0.146816 0.0211089i −0.0685150 0.997650i \(-0.521826\pi\)
0.215331 + 0.976541i \(0.430917\pi\)
\(440\) 15.6292 + 7.13762i 0.745093 + 0.340273i
\(441\) 5.25001 4.63006i 0.250000 0.220479i
\(442\) −18.9677 16.4356i −0.902202 0.781762i
\(443\) −15.4850 4.54680i −0.735714 0.216025i −0.107652 0.994189i \(-0.534333\pi\)
−0.628062 + 0.778164i \(0.716151\pi\)
\(444\) 4.83887 3.10975i 0.229642 0.147582i
\(445\) −2.29196 5.01870i −0.108649 0.237909i
\(446\) −6.29505 + 5.45469i −0.298079 + 0.258287i
\(447\) −7.86155 5.05231i −0.371839 0.238966i
\(448\) −0.668198 8.80220i −0.0315694 0.415865i
\(449\) 3.51907 24.4757i 0.166075 1.15508i −0.720825 0.693117i \(-0.756237\pi\)
0.886900 0.461961i \(-0.152854\pi\)
\(450\) −1.31234 0.843393i −0.0618645 0.0397579i
\(451\) −7.93957 9.16275i −0.373860 0.431457i
\(452\) 13.0226 5.94724i 0.612534 0.279735i
\(453\) −12.4783 19.4166i −0.586282 0.912273i
\(454\) −17.7011 5.19752i −0.830755 0.243932i
\(455\) −40.6037 21.9416i −1.90353 1.02864i
\(456\) 6.38563 + 21.7475i 0.299035 + 1.01842i
\(457\) 11.3921 + 5.20262i 0.532902 + 0.243368i 0.663644 0.748048i \(-0.269009\pi\)
−0.130742 + 0.991416i \(0.541736\pi\)
\(458\) 2.97361 + 20.6819i 0.138948 + 0.966402i
\(459\) 4.80626i 0.224337i
\(460\) −6.87636 16.0000i −0.320612 0.746003i
\(461\) 7.90227i 0.368045i 0.982922 + 0.184023i \(0.0589120\pi\)
−0.982922 + 0.184023i \(0.941088\pi\)
\(462\) −1.80328 4.77105i −0.0838963 0.221969i
\(463\) −16.9498 + 37.1149i −0.787723 + 1.72487i −0.104668 + 0.994507i \(0.533378\pi\)
−0.683055 + 0.730367i \(0.739349\pi\)
\(464\) 3.47229 1.01956i 0.161197 0.0473317i
\(465\) −0.668470 + 0.771456i −0.0309996 + 0.0357754i
\(466\) −11.3697 3.33843i −0.526689 0.154650i
\(467\) −2.34793 + 1.50892i −0.108649 + 0.0698247i −0.593837 0.804585i \(-0.702388\pi\)
0.485188 + 0.874410i \(0.338751\pi\)
\(468\) 8.26288 3.77353i 0.381952 0.174431i
\(469\) 8.97580 12.1001i 0.414464 0.558729i
\(470\) −11.5763 + 18.0131i −0.533977 + 0.830884i
\(471\) 3.09881 + 0.445541i 0.142786 + 0.0205295i
\(472\) −3.47646 0.499840i −0.160017 0.0230070i
\(473\) 17.8597 + 11.4777i 0.821191 + 0.527747i
\(474\) 3.23852 + 3.73745i 0.148750 + 0.171667i
\(475\) −6.96432 15.2497i −0.319545 0.699706i
\(476\) −12.3105 + 12.4185i −0.564249 + 0.569199i
\(477\) 2.51121 8.55239i 0.114980 0.391587i
\(478\) −0.621245 + 0.716955i −0.0284151 + 0.0327928i
\(479\) −18.3655 + 5.39259i −0.839140 + 0.246394i −0.672939 0.739698i \(-0.734968\pi\)
−0.166201 + 0.986092i \(0.553150\pi\)
\(480\) −14.0351 6.40961i −0.640611 0.292557i
\(481\) 3.93240 + 27.3504i 0.179302 + 1.24707i
\(482\) −3.01780 −0.137457
\(483\) −4.64894 + 11.8062i −0.211534 + 0.537203i
\(484\) −6.94806 −0.315821
\(485\) −2.08838 14.5250i −0.0948283 0.659545i
\(486\) −0.719064 0.328385i −0.0326174 0.0148959i
\(487\) −21.4796 + 6.30698i −0.973333 + 0.285796i −0.729470 0.684013i \(-0.760233\pi\)
−0.243863 + 0.969810i \(0.578415\pi\)
\(488\) 9.03560 10.4276i 0.409022 0.472037i
\(489\) 1.73253 5.90046i 0.0783478 0.266828i
\(490\) 7.79240 12.3613i 0.352025 0.558427i
\(491\) −4.02200 8.80695i −0.181510 0.397452i 0.796904 0.604106i \(-0.206470\pi\)
−0.978414 + 0.206654i \(0.933742\pi\)
\(492\) 4.47688 + 5.16660i 0.201833 + 0.232928i
\(493\) 22.8217 + 14.6666i 1.02784 + 0.660552i
\(494\) −43.9100 6.31331i −1.97560 0.284049i
\(495\) −6.37439 0.916499i −0.286507 0.0411936i
\(496\) −0.133992 + 0.208495i −0.00601641 + 0.00936172i
\(497\) 4.69702 + 3.48424i 0.210690 + 0.156289i
\(498\) 2.60662 1.19040i 0.116805 0.0533432i
\(499\) −6.87255 + 4.41672i −0.307658 + 0.197719i −0.685354 0.728210i \(-0.740353\pi\)
0.377697 + 0.925929i \(0.376716\pi\)
\(500\) −10.5452 3.09635i −0.471595 0.138473i
\(501\) −6.65912 + 7.68504i −0.297508 + 0.343342i
\(502\) 10.3173 3.02943i 0.460483 0.135210i
\(503\) −2.24776 + 4.92191i −0.100223 + 0.219457i −0.953101 0.302653i \(-0.902128\pi\)
0.852878 + 0.522110i \(0.174855\pi\)
\(504\) 2.49570 + 6.60302i 0.111167 + 0.294122i
\(505\) 0.988488i 0.0439872i
\(506\) 6.84925 + 6.21004i 0.304486 + 0.276070i
\(507\) 30.6371i 1.36064i
\(508\) 1.90657 + 13.2605i 0.0845904 + 0.588339i
\(509\) −31.4302 14.3537i −1.39312 0.636217i −0.429396 0.903116i \(-0.641273\pi\)
−0.963724 + 0.266900i \(0.914001\pi\)
\(510\) −2.82663 9.62662i −0.125165 0.426274i
\(511\) 19.1141 + 10.3290i 0.845558 + 0.456927i
\(512\) −6.87703 2.01928i −0.303925 0.0892403i
\(513\) −4.59289 7.14667i −0.202781 0.315533i
\(514\) 1.07468 0.490789i 0.0474020 0.0216478i
\(515\) −6.70915 7.74277i −0.295640 0.341187i
\(516\) −10.0706 6.47195i −0.443332 0.284912i
\(517\) −3.55997 + 24.7602i −0.156567 + 1.08895i
\(518\) −8.72332 + 0.662210i −0.383281 + 0.0290958i
\(519\) −12.9181 8.30197i −0.567043 0.364416i
\(520\) 35.1737 30.4782i 1.54247 1.33656i
\(521\) 2.36747 + 5.18404i 0.103721 + 0.227117i 0.954376 0.298607i \(-0.0965219\pi\)
−0.850655 + 0.525724i \(0.823795\pi\)
\(522\) 3.75356 2.41226i 0.164289 0.105582i
\(523\) −10.6790 3.13564i −0.466961 0.137112i 0.0397838 0.999208i \(-0.487333\pi\)
−0.506745 + 0.862096i \(0.669151\pi\)
\(524\) 9.71280 + 8.41619i 0.424306 + 0.367663i
\(525\) −2.52223 4.57154i −0.110079 0.199519i
\(526\) 14.8481 + 6.78088i 0.647406 + 0.295661i
\(527\) −1.83897 + 0.264404i −0.0801068 + 0.0115176i
\(528\) −1.56357 −0.0680457
\(529\) −2.24616 22.8901i −0.0976589 0.995220i
\(530\) 18.6067i 0.808225i
\(531\) 1.30301 0.187345i 0.0565458 0.00813006i
\(532\) −6.43790 + 30.2296i −0.279118 + 1.31062i
\(533\) −31.5108 + 9.25239i −1.36488 + 0.400766i
\(534\) −1.24819 1.08157i −0.0540146 0.0468039i
\(535\) 3.93671 13.4072i 0.170199 0.579643i
\(536\) 8.21372 + 12.7808i 0.354779 + 0.552046i
\(537\) 19.6041 8.95287i 0.845977 0.386345i
\(538\) −1.50994 + 1.30837i −0.0650981 + 0.0564078i
\(539\) 2.28176 16.9177i 0.0982824 0.728698i
\(540\) 3.59432 + 0.516786i 0.154675 + 0.0222389i
\(541\) 4.26830 29.6867i 0.183509 1.27633i −0.664877 0.746953i \(-0.731516\pi\)
0.848386 0.529378i \(-0.177575\pi\)
\(542\) −8.45877 + 13.1621i −0.363335 + 0.565361i
\(543\) 12.8964 11.1748i 0.553439 0.479558i
\(544\) −11.6658 25.5446i −0.500169 1.09522i
\(545\) 7.83414 + 12.1902i 0.335578 + 0.522169i
\(546\) −13.7849 0.925419i −0.589937 0.0396043i
\(547\) −13.1051 + 15.1241i −0.560334 + 0.646660i −0.963259 0.268573i \(-0.913448\pi\)
0.402926 + 0.915233i \(0.367993\pi\)
\(548\) −6.12990 20.8765i −0.261856 0.891801i
\(549\) −2.14833 + 4.70418i −0.0916884 + 0.200770i
\(550\) −3.76562 + 0.541415i −0.160567 + 0.0230860i
\(551\) 47.9503 2.04275
\(552\) −9.47921 8.59457i −0.403462 0.365809i
\(553\) 3.58893 + 16.1580i 0.152617 + 0.687108i
\(554\) 0.883918 + 6.14778i 0.0375541 + 0.261194i
\(555\) −4.58864 + 10.0477i −0.194777 + 0.426502i
\(556\) −2.10427 7.16650i −0.0892411 0.303927i
\(557\) −12.0147 10.4108i −0.509080 0.441121i 0.362060 0.932155i \(-0.382074\pi\)
−0.871140 + 0.491034i \(0.836619\pi\)
\(558\) −0.0860892 + 0.293193i −0.00364445 + 0.0124119i
\(559\) 48.3776 31.0904i 2.04615 1.31498i
\(560\) −2.70011 3.57428i −0.114100 0.151041i
\(561\) −7.67565 8.85817i −0.324066 0.373992i
\(562\) −1.04228 + 1.62181i −0.0439657 + 0.0684120i
\(563\) −2.55510 + 17.7711i −0.107685 + 0.748963i 0.862406 + 0.506218i \(0.168957\pi\)
−0.970090 + 0.242745i \(0.921952\pi\)
\(564\) 2.00736 13.9615i 0.0845252 0.587885i
\(565\) −14.8637 + 23.1284i −0.625322 + 0.973019i
\(566\) 15.0395 + 17.3565i 0.632158 + 0.729549i
\(567\) −1.59477 2.11109i −0.0669742 0.0886574i
\(568\) −4.96127 + 3.18841i −0.208170 + 0.133783i
\(569\) 6.70808 22.8456i 0.281217 0.957738i −0.690843 0.723005i \(-0.742760\pi\)
0.972060 0.234733i \(-0.0754215\pi\)
\(570\) −13.4023 11.6132i −0.561361 0.486422i
\(571\) 8.45624 + 28.7993i 0.353883 + 1.20521i 0.923595 + 0.383370i \(0.125237\pi\)
−0.569712 + 0.821844i \(0.692945\pi\)
\(572\) 9.20251 20.1507i 0.384776 0.842543i
\(573\) 1.81702 + 12.6377i 0.0759071 + 0.527946i
\(574\) −2.25456 10.1504i −0.0941033 0.423669i
\(575\) 7.84469 + 5.29449i 0.327146 + 0.220796i
\(576\) −3.33649 −0.139020
\(577\) 17.7990 2.55911i 0.740983 0.106537i 0.238522 0.971137i \(-0.423337\pi\)
0.502461 + 0.864600i \(0.332428\pi\)
\(578\) 2.00320 4.38640i 0.0833222 0.182450i
\(579\) 2.75068 + 9.36794i 0.114314 + 0.389318i
\(580\) −13.4222 + 15.4901i −0.557327 + 0.643189i
\(581\) 9.56934 + 0.642419i 0.397003 + 0.0266520i
\(582\) −2.37490 3.69542i −0.0984430 0.153180i
\(583\) −9.02998 19.7729i −0.373984 0.818910i
\(584\) −16.5579 + 14.3475i −0.685173 + 0.593706i
\(585\) −9.43104 + 14.6750i −0.389926 + 0.606736i
\(586\) 1.06944 7.43812i 0.0441782 0.307266i
\(587\) −19.4940 2.80282i −0.804604 0.115685i −0.272272 0.962220i \(-0.587775\pi\)
−0.532332 + 0.846536i \(0.678684\pi\)
\(588\) −1.28662 + 9.53940i −0.0530591 + 0.393398i
\(589\) −2.48179 + 2.15048i −0.102260 + 0.0886092i
\(590\) 2.49966 1.14156i 0.102909 0.0469972i
\(591\) 4.12858 + 6.42419i 0.169827 + 0.264256i
\(592\) −0.755571 + 2.57324i −0.0310538 + 0.105759i
\(593\) 2.43616 + 2.11095i 0.100041 + 0.0866862i 0.703445 0.710749i \(-0.251644\pi\)
−0.603404 + 0.797435i \(0.706189\pi\)
\(594\) −1.84970 + 0.543122i −0.0758943 + 0.0222846i
\(595\) 6.99455 32.8433i 0.286748 1.34645i
\(596\) 12.7197 1.82881i 0.521018 0.0749111i
\(597\) 19.0336i 0.778992i
\(598\) 23.0085 9.88844i 0.940888 0.404368i
\(599\) 24.4125 0.997470 0.498735 0.866755i \(-0.333798\pi\)
0.498735 + 0.866755i \(0.333798\pi\)
\(600\) 5.21154 0.749306i 0.212760 0.0305903i
\(601\) −1.89522 0.865518i −0.0773076 0.0353052i 0.376386 0.926463i \(-0.377167\pi\)
−0.453694 + 0.891158i \(0.649894\pi\)
\(602\) 8.79542 + 15.9417i 0.358475 + 0.649735i
\(603\) −4.30348 3.72898i −0.175251 0.151856i
\(604\) 30.4527 + 8.94173i 1.23910 + 0.363834i
\(605\) 11.2247 7.21370i 0.456350 0.293278i
\(606\) −0.122923 0.269163i −0.00499340 0.0109340i
\(607\) 34.7856 30.1419i 1.41190 1.22342i 0.472172 0.881506i \(-0.343470\pi\)
0.939731 0.341915i \(-0.111075\pi\)
\(608\) −41.7571 26.8357i −1.69348 1.08833i
\(609\) 14.8907 1.13039i 0.603403 0.0458058i
\(610\) −1.53636 + 10.6856i −0.0622054 + 0.432648i
\(611\) 57.0023 + 36.6332i 2.30607 + 1.48202i
\(612\) 4.32807 + 4.99486i 0.174952 + 0.201905i
\(613\) 8.43175 3.85065i 0.340555 0.155526i −0.237794 0.971316i \(-0.576424\pi\)
0.578349 + 0.815789i \(0.303697\pi\)
\(614\) 6.99324 + 10.8817i 0.282224 + 0.439150i
\(615\) −12.5966 3.69870i −0.507945 0.149146i
\(616\) 15.1448 + 8.18402i 0.610201 + 0.329744i
\(617\) −0.103415 0.352200i −0.00416335 0.0141791i 0.957385 0.288814i \(-0.0932610\pi\)
−0.961548 + 0.274635i \(0.911443\pi\)
\(618\) −2.78973 1.27403i −0.112220 0.0512490i
\(619\) 2.99840 + 20.8543i 0.120516 + 0.838207i 0.956974 + 0.290175i \(0.0937136\pi\)
−0.836458 + 0.548032i \(0.815377\pi\)
\(620\) 1.40369i 0.0563735i
\(621\) 4.31653 + 2.08987i 0.173216 + 0.0838636i
\(622\) 18.1907i 0.729382i
\(623\) −1.95437 5.17077i −0.0783000 0.207163i
\(624\) −1.75942 + 3.85259i −0.0704331 + 0.154227i
\(625\) 29.7181 8.72602i 1.18872 0.349041i
\(626\) 11.8415 13.6658i 0.473280 0.546195i
\(627\) −19.8782 5.83677i −0.793860 0.233098i
\(628\) −3.62162 + 2.32747i −0.144518 + 0.0928762i
\(629\) −18.2874 + 8.35158i −0.729167 + 0.332999i
\(630\) −4.43579 3.29046i −0.176726 0.131095i
\(631\) 3.52841 5.49031i 0.140464 0.218566i −0.763893 0.645343i \(-0.776715\pi\)
0.904357 + 0.426777i \(0.140351\pi\)
\(632\) −16.5212 2.37539i −0.657179 0.0944880i
\(633\) 4.09821 + 0.589234i 0.162889 + 0.0234199i
\(634\) 7.01263 + 4.50674i 0.278507 + 0.178986i
\(635\) −16.8476 19.4431i −0.668575 0.771576i
\(636\) 5.09173 + 11.1493i 0.201900 + 0.442100i
\(637\) −39.1172 24.6590i −1.54988 0.977024i
\(638\) 3.06558 10.4404i 0.121367 0.413339i
\(639\) 1.44752 1.67053i 0.0572631 0.0660851i
\(640\) 22.9261 6.73170i 0.906232 0.266094i
\(641\) 34.4434 + 15.7298i 1.36043 + 0.621288i 0.956023 0.293290i \(-0.0947502\pi\)
0.404408 + 0.914579i \(0.367477\pi\)
\(642\) −0.595285 4.14030i −0.0234940 0.163405i
\(643\) 43.3063 1.70783 0.853917 0.520409i \(-0.174220\pi\)
0.853917 + 0.520409i \(0.174220\pi\)
\(644\) −5.80022 16.4559i −0.228561 0.648454i
\(645\) 22.9886 0.905174
\(646\) −4.59342 31.9480i −0.180726 1.25698i
\(647\) 38.7370 + 17.6906i 1.52291 + 0.695489i 0.988706 0.149869i \(-0.0478851\pi\)
0.534202 + 0.845357i \(0.320612\pi\)
\(648\) 2.55995 0.751669i 0.100564 0.0295283i
\(649\) 2.10232 2.42621i 0.0825233 0.0952369i
\(650\) −2.90326 + 9.88759i −0.113875 + 0.387823i
\(651\) −0.720011 + 0.726328i −0.0282195 + 0.0284670i
\(652\) 3.51288 + 7.69214i 0.137575 + 0.301248i
\(653\) 26.3961 + 30.4627i 1.03296 + 1.19210i 0.981112 + 0.193442i \(0.0619650\pi\)
0.0518458 + 0.998655i \(0.483490\pi\)
\(654\) 3.64912 + 2.34515i 0.142692 + 0.0917025i
\(655\) −24.4292 3.51238i −0.954526 0.137240i
\(656\) −3.15504 0.453627i −0.123184 0.0177111i
\(657\) 4.43964 6.90821i 0.173207 0.269515i
\(658\) −12.7812 + 17.2300i −0.498263 + 0.671696i
\(659\) 30.8066 14.0689i 1.20005 0.548047i 0.287808 0.957688i \(-0.407073\pi\)
0.912247 + 0.409641i \(0.134346\pi\)
\(660\) 7.44983 4.78771i 0.289984 0.186361i
\(661\) −2.01959 0.593006i −0.0785531 0.0230653i 0.242220 0.970221i \(-0.422124\pi\)
−0.320773 + 0.947156i \(0.603943\pi\)
\(662\) 10.8197 12.4866i 0.420518 0.485304i
\(663\) −30.4633 + 8.94484i −1.18310 + 0.347389i
\(664\) −4.01774 + 8.79761i −0.155918 + 0.341414i
\(665\) −20.9847 55.5205i −0.813753 2.15299i
\(666\) 3.30659i 0.128128i
\(667\) −23.0956 + 14.1190i −0.894265 + 0.546688i
\(668\) 13.9832i 0.541025i
\(669\) 1.49958 + 10.4298i 0.0579771 + 0.403240i
\(670\) −10.8126 4.93797i −0.417729 0.190770i
\(671\) 3.55316 + 12.1009i 0.137168 + 0.467152i
\(672\) −13.6001 7.34928i −0.524635 0.283505i
\(673\) −33.5832 9.86091i −1.29454 0.380110i −0.439297 0.898342i \(-0.644772\pi\)
−0.855240 + 0.518232i \(0.826590\pi\)
\(674\) 1.15389 + 1.79549i 0.0444461 + 0.0691595i
\(675\) −1.79509 + 0.819788i −0.0690929 + 0.0315536i
\(676\) −27.5889 31.8393i −1.06111 1.22459i
\(677\) 1.24094 + 0.797505i 0.0476933 + 0.0306506i 0.564270 0.825590i \(-0.309158\pi\)
−0.516577 + 0.856241i \(0.672794\pi\)
\(678\) −1.17125 + 8.14619i −0.0449814 + 0.312852i
\(679\) −1.11289 14.6601i −0.0427086 0.562603i
\(680\) 28.4870 + 18.3075i 1.09243 + 0.702060i
\(681\) −17.6374 + 15.2829i −0.675868 + 0.585643i
\(682\) 0.309566 + 0.677854i 0.0118539 + 0.0259564i
\(683\) 38.0520 24.4545i 1.45602 0.935726i 0.457091 0.889420i \(-0.348892\pi\)
0.998927 0.0463057i \(-0.0147448\pi\)
\(684\) 11.2087 + 3.29118i 0.428577 + 0.125841i
\(685\) 31.5776 + 27.3622i 1.20652 + 1.04545i
\(686\) 8.61927 11.8341i 0.329085 0.451827i
\(687\) 24.0435 + 10.9803i 0.917317 + 0.418925i
\(688\) 5.52465 0.794325i 0.210625 0.0302834i
\(689\) −58.8808 −2.24318
\(690\) 9.87480 + 1.64726i 0.375927 + 0.0627100i
\(691\) 21.3664i 0.812815i −0.913692 0.406408i \(-0.866781\pi\)
0.913692 0.406408i \(-0.133219\pi\)
\(692\) 20.9010 3.00511i 0.794536 0.114237i
\(693\) −6.31068 1.34397i −0.239723 0.0510530i
\(694\) −4.27855 + 1.25630i −0.162412 + 0.0476884i
\(695\) 10.8400 + 9.39290i 0.411184 + 0.356293i
\(696\) −4.24269 + 14.4493i −0.160819 + 0.547698i
\(697\) −12.9183 20.1013i −0.489316 0.761390i
\(698\) −22.4628 + 10.2584i −0.850229 + 0.388287i
\(699\) −11.3288 + 9.81642i −0.428493 + 0.371291i
\(700\) 6.73791 + 2.47964i 0.254669 + 0.0937217i
\(701\) −20.6740 2.97248i −0.780847 0.112269i −0.259647 0.965703i \(-0.583606\pi\)
−0.521200 + 0.853435i \(0.674515\pi\)
\(702\) −0.743156 + 5.16876i −0.0280486 + 0.195082i
\(703\) −19.2117 + 29.8939i −0.724582 + 1.12747i
\(704\) −6.14932 + 5.32841i −0.231761 + 0.200822i
\(705\) 11.2523 + 24.6392i 0.423788 + 0.927966i
\(706\) −12.7969 19.9123i −0.481616 0.749410i
\(707\) 0.0663372 0.988146i 0.00249487 0.0371631i
\(708\) −1.18543 + 1.36806i −0.0445514 + 0.0514150i
\(709\) −4.32143 14.7174i −0.162295 0.552725i −0.999978 0.00656924i \(-0.997909\pi\)
0.837684 0.546156i \(-0.183909\pi\)
\(710\) 1.91683 4.19726i 0.0719372 0.157521i
\(711\) 6.19230 0.890319i 0.232230 0.0333896i
\(712\) 5.57432 0.208907
\(713\) 0.562162 1.76656i 0.0210531 0.0661581i
\(714\) −2.17961 9.81298i −0.0815699 0.367242i
\(715\) 6.05424 + 42.1082i 0.226416 + 1.57476i
\(716\) −12.3112 + 26.9577i −0.460091 + 1.00746i
\(717\) 0.338103 + 1.15147i 0.0126267 + 0.0430026i
\(718\) 18.9086 + 16.3844i 0.705664 + 0.611462i
\(719\) 0.362506 1.23458i 0.0135192 0.0460421i −0.952457 0.304673i \(-0.901453\pi\)
0.965976 + 0.258630i \(0.0832712\pi\)
\(720\) −1.42432 + 0.915358i −0.0530814 + 0.0341134i
\(721\) −6.18721 8.19034i −0.230424 0.305024i
\(722\) −27.5241 31.7646i −1.02434 1.18215i
\(723\) −2.06394 + 3.21155i −0.0767588 + 0.119439i
\(724\) −3.33949 + 23.2266i −0.124111 + 0.863211i
\(725\) 1.58520 11.0253i 0.0588728 0.409470i
\(726\) 2.15942 3.36012i 0.0801435 0.124706i
\(727\) −13.7409 15.8579i −0.509623 0.588136i 0.441379 0.897321i \(-0.354489\pi\)
−0.951002 + 0.309185i \(0.899944\pi\)
\(728\) 37.2069 28.1072i 1.37898 1.04172i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 4.82948 16.4477i 0.178747 0.608757i
\(731\) 31.6209 + 27.3997i 1.16954 + 1.01341i
\(732\) −2.00352 6.82335i −0.0740521 0.252198i
\(733\) −7.39175 + 16.1857i −0.273021 + 0.597832i −0.995626 0.0934291i \(-0.970217\pi\)
0.722605 + 0.691261i \(0.242944\pi\)
\(734\) 1.69497 + 11.7888i 0.0625624 + 0.435131i
\(735\) −7.82555 16.7469i −0.288650 0.617718i
\(736\) 28.0144 + 0.630217i 1.03262 + 0.0232301i
\(737\) −13.8867 −0.511525
\(738\) −3.88998 + 0.559295i −0.143192 + 0.0205879i
\(739\) 13.3510 29.2347i 0.491126 1.07542i −0.488127 0.872773i \(-0.662320\pi\)
0.979253 0.202643i \(-0.0649531\pi\)
\(740\) −4.27934 14.5741i −0.157312 0.535754i
\(741\) −36.7497 + 42.4114i −1.35003 + 1.55802i
\(742\) 1.24869 18.6003i 0.0458410 0.682839i
\(743\) −20.8474 32.4392i −0.764816 1.19008i −0.977082 0.212865i \(-0.931721\pi\)
0.212266 0.977212i \(-0.431916\pi\)
\(744\) −0.428432 0.938136i −0.0157071 0.0343937i
\(745\) −18.6501 + 16.1604i −0.683288 + 0.592073i
\(746\) −9.78043 + 15.2186i −0.358087 + 0.557194i
\(747\) 0.515893 3.58812i 0.0188755 0.131282i
\(748\) 15.9537 + 2.29379i 0.583324 + 0.0838693i
\(749\) 4.83510 13.1384i 0.176671 0.480065i
\(750\) 4.77480 4.13738i 0.174351 0.151076i
\(751\) 17.5163 7.99941i 0.639178 0.291903i −0.0693429 0.997593i \(-0.522090\pi\)
0.708520 + 0.705690i \(0.249363\pi\)
\(752\) 3.55554 + 5.53253i 0.129657 + 0.201751i
\(753\) 3.83230 13.0516i 0.139657 0.475627i
\(754\) −22.2752 19.3016i −0.811216 0.702922i
\(755\) −58.4806 + 17.1715i −2.12833 + 0.624933i
\(756\) 3.55840 + 0.757821i 0.129418 + 0.0275617i
\(757\) 32.2824 4.64151i 1.17332 0.168698i 0.472037 0.881579i \(-0.343519\pi\)
0.701286 + 0.712880i \(0.252610\pi\)
\(758\) 17.8160i 0.647107i
\(759\) 11.2931 3.04181i 0.409914 0.110411i
\(760\) 59.8535 2.17111
\(761\) −29.5147 + 4.24358i −1.06991 + 0.153830i −0.654694 0.755894i \(-0.727202\pi\)
−0.415214 + 0.909724i \(0.636293\pi\)
\(762\) −7.00539 3.19925i −0.253779 0.115897i
\(763\) 7.01335 + 12.7117i 0.253900 + 0.460194i
\(764\) −13.2686 11.4973i −0.480041 0.415958i
\(765\) −12.1779 3.57575i −0.440293 0.129282i
\(766\) −17.7949 + 11.4361i −0.642956 + 0.413203i
\(767\) −3.61244 7.91015i −0.130438 0.285619i
\(768\) 10.4487 9.05386i 0.377035 0.326703i
\(769\) 1.46887 + 0.943988i 0.0529689 + 0.0340411i 0.566857 0.823816i \(-0.308159\pi\)
−0.513888 + 0.857857i \(0.671795\pi\)
\(770\) −13.4303 + 1.01953i −0.483993 + 0.0367412i
\(771\) 0.212697 1.47934i 0.00766009 0.0532771i
\(772\) −11.2945 7.25853i −0.406498 0.261240i
\(773\) 8.82254 + 10.1818i 0.317325 + 0.366212i 0.891895 0.452243i \(-0.149376\pi\)
−0.574570 + 0.818456i \(0.694831\pi\)
\(774\)