Properties

Label 76.2.k.a.59.6
Level $76$
Weight $2$
Character 76.59
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.6
Character \(\chi\) \(=\) 76.59
Dual form 76.2.k.a.67.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.343391 - 1.37189i) q^{2} +(-1.20007 - 1.00697i) q^{3} +(-1.76416 - 0.942190i) q^{4} +(0.709721 - 0.258317i) q^{5} +(-1.79355 + 1.30057i) q^{6} +(0.937645 - 0.541349i) q^{7} +(-1.89838 + 2.09670i) q^{8} +(-0.0947852 - 0.537553i) q^{9} +O(q^{10})\) \(q+(0.343391 - 1.37189i) q^{2} +(-1.20007 - 1.00697i) q^{3} +(-1.76416 - 0.942190i) q^{4} +(0.709721 - 0.258317i) q^{5} +(-1.79355 + 1.30057i) q^{6} +(0.937645 - 0.541349i) q^{7} +(-1.89838 + 2.09670i) q^{8} +(-0.0947852 - 0.537553i) q^{9} +(-0.110671 - 1.06236i) q^{10} +(2.64713 + 1.52832i) q^{11} +(1.16835 + 2.90716i) q^{12} +(2.97626 + 3.54697i) q^{13} +(-0.420693 - 1.47224i) q^{14} +(-1.11183 - 0.404673i) q^{15} +(2.22456 + 3.32436i) q^{16} +(0.837695 - 4.75081i) q^{17} +(-0.770013 - 0.0545563i) q^{18} +(-1.62987 + 4.04271i) q^{19} +(-1.49545 - 0.212978i) q^{20} +(-1.67036 - 0.294530i) q^{21} +(3.00569 - 3.10676i) q^{22} +(1.30131 - 3.57533i) q^{23} +(4.38950 - 0.604558i) q^{24} +(-3.39325 + 2.84727i) q^{25} +(5.88807 - 2.86510i) q^{26} +(-2.77742 + 4.81062i) q^{27} +(-2.16421 + 0.0715903i) q^{28} +(-6.38295 + 1.12549i) q^{29} +(-0.936960 + 1.38635i) q^{30} +(0.249223 + 0.431666i) q^{31} +(5.32455 - 1.91029i) q^{32} +(-1.63775 - 4.49968i) q^{33} +(-6.22993 - 2.78061i) q^{34} +(0.525626 - 0.626417i) q^{35} +(-0.339261 + 1.03764i) q^{36} +2.70604i q^{37} +(4.98648 + 3.62423i) q^{38} -7.25360i q^{39} +(-0.805706 + 1.97846i) q^{40} +(-3.63013 + 4.32622i) q^{41} +(-0.977649 + 2.19041i) q^{42} +(-2.40019 - 6.59447i) q^{43} +(-3.23001 - 5.19031i) q^{44} +(-0.206130 - 0.357028i) q^{45} +(-4.45810 - 3.01300i) q^{46} +(8.31690 - 1.46649i) q^{47} +(0.677930 - 6.22952i) q^{48} +(-2.91388 + 5.04699i) q^{49} +(2.74093 + 5.63289i) q^{50} +(-5.78923 + 4.85774i) q^{51} +(-1.90869 - 9.06163i) q^{52} +(4.64782 - 12.7698i) q^{53} +(5.64591 + 5.46223i) q^{54} +(2.27352 + 0.400882i) q^{55} +(-0.644958 + 2.99365i) q^{56} +(6.02685 - 3.21029i) q^{57} +(-0.647805 + 9.14318i) q^{58} +(-0.185976 + 1.05472i) q^{59} +(1.58017 + 1.76146i) q^{60} +(5.54306 + 2.01751i) q^{61} +(0.677779 - 0.193676i) q^{62} +(-0.379879 - 0.452722i) q^{63} +(-0.792308 - 7.96067i) q^{64} +(3.02855 + 1.74854i) q^{65} +(-6.73545 + 0.701662i) q^{66} +(2.28900 + 12.9816i) q^{67} +(-5.95399 + 7.59194i) q^{68} +(-5.16193 + 2.98024i) q^{69} +(-0.678880 - 0.936207i) q^{70} +(-2.22740 + 0.810707i) q^{71} +(1.30703 + 0.821744i) q^{72} +(4.77080 + 4.00317i) q^{73} +(3.71238 + 0.929229i) q^{74} +6.93925 q^{75} +(6.68436 - 5.59637i) q^{76} +3.30942 q^{77} +(-9.95115 - 2.49082i) q^{78} +(-10.7050 - 8.98260i) q^{79} +(2.43755 + 1.78472i) q^{80} +(6.63847 - 2.41621i) q^{81} +(4.68854 + 6.46572i) q^{82} +(-10.7411 + 6.20140i) q^{83} +(2.66929 + 2.09340i) q^{84} +(-0.632685 - 3.58814i) q^{85} +(-9.87109 + 1.02832i) q^{86} +(8.79329 + 5.07681i) q^{87} +(-8.22969 + 2.64891i) q^{88} +(3.51946 + 4.19433i) q^{89} +(-0.560587 + 0.160188i) q^{90} +(4.71082 + 1.71460i) q^{91} +(-5.66437 + 5.08139i) q^{92} +(0.135593 - 0.768988i) q^{93} +(0.844082 - 11.9135i) q^{94} +(-0.112447 + 3.29022i) q^{95} +(-8.31342 - 3.06921i) q^{96} +(-3.44962 - 0.608262i) q^{97} +(5.92332 + 5.73062i) q^{98} +(0.570646 - 1.56784i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.343391 1.37189i 0.242814 0.970073i
\(3\) −1.20007 1.00697i −0.692858 0.581377i 0.226874 0.973924i \(-0.427149\pi\)
−0.919732 + 0.392547i \(0.871594\pi\)
\(4\) −1.76416 0.942190i −0.882082 0.471095i
\(5\) 0.709721 0.258317i 0.317397 0.115523i −0.178409 0.983956i \(-0.557095\pi\)
0.495806 + 0.868433i \(0.334873\pi\)
\(6\) −1.79355 + 1.30057i −0.732214 + 0.530956i
\(7\) 0.937645 0.541349i 0.354396 0.204611i −0.312223 0.950009i \(-0.601074\pi\)
0.666620 + 0.745398i \(0.267740\pi\)
\(8\) −1.89838 + 2.09670i −0.671179 + 0.741296i
\(9\) −0.0947852 0.537553i −0.0315951 0.179184i
\(10\) −0.110671 1.06236i −0.0349972 0.335949i
\(11\) 2.64713 + 1.52832i 0.798140 + 0.460806i 0.842820 0.538195i \(-0.180894\pi\)
−0.0446804 + 0.999001i \(0.514227\pi\)
\(12\) 1.16835 + 2.90716i 0.337274 + 0.839224i
\(13\) 2.97626 + 3.54697i 0.825465 + 0.983751i 1.00000 0.000899967i \(-0.000286468\pi\)
−0.174534 + 0.984651i \(0.555842\pi\)
\(14\) −0.420693 1.47224i −0.112435 0.393473i
\(15\) −1.11183 0.404673i −0.287073 0.104486i
\(16\) 2.22456 + 3.32436i 0.556139 + 0.831089i
\(17\) 0.837695 4.75081i 0.203171 1.15224i −0.697121 0.716953i \(-0.745536\pi\)
0.900292 0.435286i \(-0.143353\pi\)
\(18\) −0.770013 0.0545563i −0.181494 0.0128590i
\(19\) −1.62987 + 4.04271i −0.373917 + 0.927462i
\(20\) −1.49545 0.212978i −0.334392 0.0476232i
\(21\) −1.67036 0.294530i −0.364502 0.0642716i
\(22\) 3.00569 3.10676i 0.640815 0.662363i
\(23\) 1.30131 3.57533i 0.271343 0.745508i −0.726927 0.686714i \(-0.759052\pi\)
0.998270 0.0587937i \(-0.0187254\pi\)
\(24\) 4.38950 0.604558i 0.896004 0.123405i
\(25\) −3.39325 + 2.84727i −0.678649 + 0.569454i
\(26\) 5.88807 2.86510i 1.15474 0.561893i
\(27\) −2.77742 + 4.81062i −0.534514 + 0.925805i
\(28\) −2.16421 + 0.0715903i −0.408998 + 0.0135293i
\(29\) −6.38295 + 1.12549i −1.18528 + 0.208997i −0.731327 0.682027i \(-0.761099\pi\)
−0.453956 + 0.891024i \(0.649988\pi\)
\(30\) −0.936960 + 1.38635i −0.171065 + 0.253111i
\(31\) 0.249223 + 0.431666i 0.0447617 + 0.0775295i 0.887538 0.460734i \(-0.152414\pi\)
−0.842777 + 0.538264i \(0.819080\pi\)
\(32\) 5.32455 1.91029i 0.941256 0.337695i
\(33\) −1.63775 4.49968i −0.285095 0.783293i
\(34\) −6.22993 2.78061i −1.06842 0.476871i
\(35\) 0.525626 0.626417i 0.0888470 0.105884i
\(36\) −0.339261 + 1.03764i −0.0565435 + 0.172940i
\(37\) 2.70604i 0.444870i 0.974948 + 0.222435i \(0.0714005\pi\)
−0.974948 + 0.222435i \(0.928600\pi\)
\(38\) 4.98648 + 3.62423i 0.808914 + 0.587928i
\(39\) 7.25360i 1.16151i
\(40\) −0.805706 + 1.97846i −0.127393 + 0.312821i
\(41\) −3.63013 + 4.32622i −0.566930 + 0.675641i −0.970998 0.239088i \(-0.923152\pi\)
0.404068 + 0.914729i \(0.367596\pi\)
\(42\) −0.977649 + 2.19041i −0.150855 + 0.337988i
\(43\) −2.40019 6.59447i −0.366026 1.00565i −0.976858 0.213888i \(-0.931387\pi\)
0.610833 0.791760i \(-0.290835\pi\)
\(44\) −3.23001 5.19031i −0.486942 0.782469i
\(45\) −0.206130 0.357028i −0.0307281 0.0532226i
\(46\) −4.45810 3.01300i −0.657311 0.444242i
\(47\) 8.31690 1.46649i 1.21314 0.213910i 0.469772 0.882788i \(-0.344336\pi\)
0.743373 + 0.668877i \(0.233225\pi\)
\(48\) 0.677930 6.22952i 0.0978507 0.899153i
\(49\) −2.91388 + 5.04699i −0.416269 + 0.720999i
\(50\) 2.74093 + 5.63289i 0.387626 + 0.796611i
\(51\) −5.78923 + 4.85774i −0.810654 + 0.680219i
\(52\) −1.90869 9.06163i −0.264688 1.25662i
\(53\) 4.64782 12.7698i 0.638427 1.75406i −0.0181838 0.999835i \(-0.505788\pi\)
0.656611 0.754229i \(-0.271989\pi\)
\(54\) 5.64591 + 5.46223i 0.768311 + 0.743316i
\(55\) 2.27352 + 0.400882i 0.306561 + 0.0540549i
\(56\) −0.644958 + 2.99365i −0.0861862 + 0.400043i
\(57\) 6.02685 3.21029i 0.798276 0.425213i
\(58\) −0.647805 + 9.14318i −0.0850609 + 1.20056i
\(59\) −0.185976 + 1.05472i −0.0242121 + 0.137313i −0.994518 0.104569i \(-0.966654\pi\)
0.970306 + 0.241882i \(0.0777648\pi\)
\(60\) 1.58017 + 1.76146i 0.203999 + 0.227404i
\(61\) 5.54306 + 2.01751i 0.709715 + 0.258315i 0.671553 0.740956i \(-0.265627\pi\)
0.0381622 + 0.999272i \(0.487850\pi\)
\(62\) 0.677779 0.193676i 0.0860781 0.0245968i
\(63\) −0.379879 0.452722i −0.0478603 0.0570376i
\(64\) −0.792308 7.96067i −0.0990385 0.995084i
\(65\) 3.02855 + 1.74854i 0.375646 + 0.216879i
\(66\) −6.73545 + 0.701662i −0.829077 + 0.0863686i
\(67\) 2.28900 + 12.9816i 0.279646 + 1.58595i 0.723806 + 0.690003i \(0.242391\pi\)
−0.444160 + 0.895947i \(0.646498\pi\)
\(68\) −5.95399 + 7.59194i −0.722028 + 0.920657i
\(69\) −5.16193 + 2.98024i −0.621423 + 0.358779i
\(70\) −0.678880 0.936207i −0.0811416 0.111898i
\(71\) −2.22740 + 0.810707i −0.264344 + 0.0962132i −0.470792 0.882244i \(-0.656032\pi\)
0.206448 + 0.978458i \(0.433809\pi\)
\(72\) 1.30703 + 0.821744i 0.154035 + 0.0968435i
\(73\) 4.77080 + 4.00317i 0.558380 + 0.468536i 0.877767 0.479088i \(-0.159033\pi\)
−0.319387 + 0.947624i \(0.603477\pi\)
\(74\) 3.71238 + 0.929229i 0.431556 + 0.108021i
\(75\) 6.93925 0.801275
\(76\) 6.68436 5.59637i 0.766748 0.641948i
\(77\) 3.30942 0.377144
\(78\) −9.95115 2.49082i −1.12675 0.282030i
\(79\) −10.7050 8.98260i −1.20441 1.01062i −0.999493 0.0318423i \(-0.989863\pi\)
−0.204919 0.978779i \(-0.565693\pi\)
\(80\) 2.43755 + 1.78472i 0.272527 + 0.199538i
\(81\) 6.63847 2.41621i 0.737608 0.268467i
\(82\) 4.68854 + 6.46572i 0.517763 + 0.714019i
\(83\) −10.7411 + 6.20140i −1.17899 + 0.680692i −0.955782 0.294077i \(-0.904988\pi\)
−0.223212 + 0.974770i \(0.571654\pi\)
\(84\) 2.66929 + 2.09340i 0.291243 + 0.228408i
\(85\) −0.632685 3.58814i −0.0686243 0.389188i
\(86\) −9.87109 + 1.02832i −1.06443 + 0.110886i
\(87\) 8.79329 + 5.07681i 0.942739 + 0.544291i
\(88\) −8.22969 + 2.64891i −0.877288 + 0.282374i
\(89\) 3.51946 + 4.19433i 0.373062 + 0.444598i 0.919612 0.392828i \(-0.128503\pi\)
−0.546549 + 0.837427i \(0.684059\pi\)
\(90\) −0.560587 + 0.160188i −0.0590910 + 0.0168853i
\(91\) 4.71082 + 1.71460i 0.493828 + 0.179739i
\(92\) −5.66437 + 5.08139i −0.590552 + 0.529771i
\(93\) 0.135593 0.768988i 0.0140604 0.0797404i
\(94\) 0.844082 11.9135i 0.0870604 1.22878i
\(95\) −0.112447 + 3.29022i −0.0115368 + 0.337569i
\(96\) −8.31342 3.06921i −0.848485 0.313250i
\(97\) −3.44962 0.608262i −0.350256 0.0617596i −0.00424764 0.999991i \(-0.501352\pi\)
−0.346009 + 0.938231i \(0.612463\pi\)
\(98\) 5.92332 + 5.73062i 0.598345 + 0.578880i
\(99\) 0.570646 1.56784i 0.0573520 0.157573i
\(100\) 8.66892 1.82597i 0.866892 0.182597i
\(101\) −0.588423 + 0.493745i −0.0585502 + 0.0491295i −0.671593 0.740920i \(-0.734390\pi\)
0.613043 + 0.790050i \(0.289945\pi\)
\(102\) 4.67631 + 9.61029i 0.463024 + 0.951560i
\(103\) 7.50991 13.0075i 0.739973 1.28167i −0.212533 0.977154i \(-0.568171\pi\)
0.952507 0.304518i \(-0.0984953\pi\)
\(104\) −13.0870 0.493166i −1.28329 0.0483589i
\(105\) −1.26157 + 0.222449i −0.123117 + 0.0217088i
\(106\) −15.9227 10.7613i −1.54655 1.04523i
\(107\) −7.48422 12.9630i −0.723527 1.25319i −0.959578 0.281444i \(-0.909187\pi\)
0.236051 0.971741i \(-0.424147\pi\)
\(108\) 9.43234 5.86988i 0.907627 0.564830i
\(109\) −1.20073 3.29897i −0.115009 0.315984i 0.868811 0.495143i \(-0.164884\pi\)
−0.983820 + 0.179160i \(0.942662\pi\)
\(110\) 1.33067 2.98135i 0.126875 0.284261i
\(111\) 2.72491 3.24742i 0.258637 0.308231i
\(112\) 3.88548 + 1.91280i 0.367144 + 0.180743i
\(113\) 4.87099i 0.458224i −0.973400 0.229112i \(-0.926418\pi\)
0.973400 0.229112i \(-0.0735823\pi\)
\(114\) −2.33459 9.37057i −0.218655 0.877634i
\(115\) 2.87364i 0.267968i
\(116\) 12.3210 + 4.02841i 1.14398 + 0.374028i
\(117\) 1.62458 1.93610i 0.150192 0.178992i
\(118\) 1.38310 + 0.617322i 0.127325 + 0.0568291i
\(119\) −1.78639 4.90805i −0.163758 0.449921i
\(120\) 2.95915 1.56295i 0.270133 0.142677i
\(121\) −0.828467 1.43495i −0.0753151 0.130450i
\(122\) 4.67123 6.91167i 0.422914 0.625753i
\(123\) 8.71278 1.53630i 0.785605 0.138523i
\(124\) −0.0329582 0.996345i −0.00295973 0.0894744i
\(125\) −3.56093 + 6.16771i −0.318499 + 0.551657i
\(126\) −0.751532 + 0.365691i −0.0669518 + 0.0325784i
\(127\) −8.42048 + 7.06562i −0.747197 + 0.626973i −0.934760 0.355280i \(-0.884386\pi\)
0.187563 + 0.982253i \(0.439941\pi\)
\(128\) −11.1932 1.64666i −0.989352 0.145546i
\(129\) −3.76008 + 10.3307i −0.331056 + 0.909570i
\(130\) 3.43878 3.55441i 0.301601 0.311742i
\(131\) −10.7902 1.90260i −0.942741 0.166231i −0.318906 0.947786i \(-0.603315\pi\)
−0.623835 + 0.781556i \(0.714426\pi\)
\(132\) −1.35029 + 9.48125i −0.117528 + 0.825236i
\(133\) 0.660287 + 4.67296i 0.0572541 + 0.405197i
\(134\) 18.5953 + 1.31750i 1.60639 + 0.113815i
\(135\) −0.728522 + 4.13165i −0.0627012 + 0.355596i
\(136\) 8.37075 + 10.7752i 0.717786 + 0.923968i
\(137\) −11.6234 4.23059i −0.993057 0.361443i −0.206154 0.978520i \(-0.566095\pi\)
−0.786903 + 0.617076i \(0.788317\pi\)
\(138\) 2.31600 + 8.10499i 0.197151 + 0.689942i
\(139\) 5.97171 + 7.11681i 0.506514 + 0.603640i 0.957337 0.288974i \(-0.0933140\pi\)
−0.450823 + 0.892613i \(0.648870\pi\)
\(140\) −1.51749 + 0.609863i −0.128252 + 0.0515428i
\(141\) −11.4575 6.61502i −0.964900 0.557085i
\(142\) 0.347332 + 3.33414i 0.0291474 + 0.279794i
\(143\) 2.45764 + 13.9380i 0.205518 + 1.16555i
\(144\) 1.57616 1.51092i 0.131347 0.125910i
\(145\) −4.23938 + 2.44760i −0.352061 + 0.203263i
\(146\) 7.13017 5.17036i 0.590097 0.427902i
\(147\) 8.57904 3.12251i 0.707587 0.257541i
\(148\) 2.54960 4.77389i 0.209576 0.392412i
\(149\) −0.921936 0.773596i −0.0755280 0.0633755i 0.604242 0.796801i \(-0.293476\pi\)
−0.679770 + 0.733425i \(0.737920\pi\)
\(150\) 2.38288 9.51988i 0.194561 0.777295i
\(151\) −2.35305 −0.191489 −0.0957444 0.995406i \(-0.530523\pi\)
−0.0957444 + 0.995406i \(0.530523\pi\)
\(152\) −5.38226 11.0919i −0.436559 0.899676i
\(153\) −2.63321 −0.212883
\(154\) 1.13643 4.54017i 0.0915759 0.365857i
\(155\) 0.288385 + 0.241984i 0.0231637 + 0.0194366i
\(156\) −6.83427 + 12.7966i −0.547180 + 1.02454i
\(157\) −3.10209 + 1.12907i −0.247573 + 0.0901093i −0.462826 0.886449i \(-0.653165\pi\)
0.215253 + 0.976558i \(0.430942\pi\)
\(158\) −15.9992 + 11.6016i −1.27282 + 0.922974i
\(159\) −18.4365 + 10.6443i −1.46211 + 0.844151i
\(160\) 3.28548 2.73120i 0.259740 0.215920i
\(161\) −0.715333 4.05686i −0.0563762 0.319725i
\(162\) −1.03518 9.93696i −0.0813312 0.780721i
\(163\) 0.156238 + 0.0902042i 0.0122375 + 0.00706534i 0.506106 0.862471i \(-0.331084\pi\)
−0.493869 + 0.869536i \(0.664418\pi\)
\(164\) 10.4803 4.21189i 0.818371 0.328893i
\(165\) −2.32469 2.77046i −0.180977 0.215680i
\(166\) 4.81923 + 16.8652i 0.374045 + 1.30899i
\(167\) 12.2782 + 4.46888i 0.950112 + 0.345813i 0.770151 0.637861i \(-0.220181\pi\)
0.179961 + 0.983674i \(0.442403\pi\)
\(168\) 3.78852 2.94312i 0.292291 0.227066i
\(169\) −1.46543 + 8.31086i −0.112725 + 0.639297i
\(170\) −5.13979 0.364160i −0.394204 0.0279298i
\(171\) 2.32766 + 0.492950i 0.178001 + 0.0376968i
\(172\) −1.97891 + 13.8952i −0.150891 + 1.05950i
\(173\) 1.30043 + 0.229300i 0.0988695 + 0.0174334i 0.222864 0.974850i \(-0.428459\pi\)
−0.123995 + 0.992283i \(0.539571\pi\)
\(174\) 9.98436 10.3201i 0.756912 0.782364i
\(175\) −1.64029 + 4.50666i −0.123994 + 0.340672i
\(176\) 0.808004 + 12.1998i 0.0609056 + 0.919598i
\(177\) 1.28526 1.07846i 0.0966064 0.0810624i
\(178\) 6.96272 3.38802i 0.521878 0.253943i
\(179\) −4.15946 + 7.20439i −0.310892 + 0.538481i −0.978556 0.205982i \(-0.933961\pi\)
0.667663 + 0.744463i \(0.267295\pi\)
\(180\) 0.0272595 + 0.824070i 0.00203180 + 0.0614226i
\(181\) 14.1155 2.48894i 1.04920 0.185001i 0.377637 0.925954i \(-0.376737\pi\)
0.671558 + 0.740952i \(0.265625\pi\)
\(182\) 3.96989 5.87395i 0.294268 0.435406i
\(183\) −4.62045 8.00285i −0.341554 0.591588i
\(184\) 5.02601 + 9.51580i 0.370522 + 0.701514i
\(185\) 0.699016 + 1.92053i 0.0513927 + 0.141200i
\(186\) −1.00841 0.450083i −0.0739399 0.0330017i
\(187\) 9.47825 11.2957i 0.693118 0.826026i
\(188\) −16.0541 5.24896i −1.17087 0.382820i
\(189\) 6.01421i 0.437469i
\(190\) 4.47521 + 1.28410i 0.324666 + 0.0931582i
\(191\) 3.41758i 0.247287i −0.992327 0.123644i \(-0.960542\pi\)
0.992327 0.123644i \(-0.0394580\pi\)
\(192\) −7.06537 + 10.3512i −0.509899 + 0.747030i
\(193\) 12.8703 15.3383i 0.926428 1.10407i −0.0678973 0.997692i \(-0.521629\pi\)
0.994325 0.106382i \(-0.0339265\pi\)
\(194\) −2.01904 + 4.52363i −0.144959 + 0.324778i
\(195\) −1.87373 5.14803i −0.134181 0.368658i
\(196\) 9.89579 6.15829i 0.706842 0.439878i
\(197\) 6.96502 + 12.0638i 0.496237 + 0.859508i 0.999991 0.00433940i \(-0.00138128\pi\)
−0.503753 + 0.863848i \(0.668048\pi\)
\(198\) −1.95494 1.32124i −0.138932 0.0938967i
\(199\) 24.0045 4.23264i 1.70164 0.300044i 0.763370 0.645961i \(-0.223543\pi\)
0.938265 + 0.345917i \(0.112432\pi\)
\(200\) 0.471794 12.5198i 0.0333608 0.885285i
\(201\) 10.3252 17.8837i 0.728280 1.26142i
\(202\) 0.475305 + 0.976799i 0.0334423 + 0.0687273i
\(203\) −5.37565 + 4.51071i −0.377297 + 0.316590i
\(204\) 14.7901 3.11530i 1.03551 0.218115i
\(205\) −1.45884 + 4.00813i −0.101890 + 0.279940i
\(206\) −15.2661 14.7694i −1.06364 1.02904i
\(207\) −2.04528 0.360637i −0.142157 0.0250660i
\(208\) −5.17053 + 17.7846i −0.358512 + 1.23314i
\(209\) −10.4930 + 8.21063i −0.725818 + 0.567941i
\(210\) −0.128037 + 1.80712i −0.00883538 + 0.124703i
\(211\) 2.02045 11.4585i 0.139093 0.788837i −0.832828 0.553531i \(-0.813280\pi\)
0.971921 0.235305i \(-0.0756090\pi\)
\(212\) −20.2311 + 18.1489i −1.38948 + 1.24647i
\(213\) 3.48938 + 1.27003i 0.239089 + 0.0870212i
\(214\) −20.3539 + 5.81613i −1.39136 + 0.397582i
\(215\) −3.40693 4.06022i −0.232351 0.276905i
\(216\) −4.81385 14.9558i −0.327541 1.01761i
\(217\) 0.467364 + 0.269833i 0.0317268 + 0.0183175i
\(218\) −4.93814 + 0.514427i −0.334453 + 0.0348414i
\(219\) −1.69417 9.60814i −0.114482 0.649258i
\(220\) −3.63315 2.84931i −0.244947 0.192100i
\(221\) 19.3441 11.1683i 1.30123 0.751264i
\(222\) −3.51939 4.85341i −0.236206 0.325740i
\(223\) −18.9595 + 6.90070i −1.26962 + 0.462105i −0.886987 0.461794i \(-0.847206\pi\)
−0.382636 + 0.923899i \(0.624984\pi\)
\(224\) 3.95840 4.67362i 0.264482 0.312269i
\(225\) 1.85219 + 1.55417i 0.123479 + 0.103611i
\(226\) −6.68247 1.67266i −0.444511 0.111263i
\(227\) −4.00906 −0.266091 −0.133045 0.991110i \(-0.542476\pi\)
−0.133045 + 0.991110i \(0.542476\pi\)
\(228\) −13.6571 0.0149632i −0.904461 0.000990962i
\(229\) −21.5588 −1.42465 −0.712324 0.701851i \(-0.752357\pi\)
−0.712324 + 0.701851i \(0.752357\pi\)
\(230\) −3.94232 0.986782i −0.259949 0.0650665i
\(231\) −3.97153 3.33251i −0.261307 0.219263i
\(232\) 9.75745 15.5197i 0.640608 1.01892i
\(233\) 0.862546 0.313941i 0.0565073 0.0205670i −0.313612 0.949551i \(-0.601539\pi\)
0.370119 + 0.928984i \(0.379317\pi\)
\(234\) −2.09825 2.89358i −0.137167 0.189159i
\(235\) 5.52386 3.18920i 0.360337 0.208040i
\(236\) 1.32184 1.68548i 0.0860447 0.109716i
\(237\) 3.80151 + 21.5594i 0.246934 + 1.40043i
\(238\) −7.34674 + 0.765342i −0.476218 + 0.0496098i
\(239\) 11.7324 + 6.77369i 0.758904 + 0.438154i 0.828902 0.559394i \(-0.188966\pi\)
−0.0699979 + 0.997547i \(0.522299\pi\)
\(240\) −1.12805 4.59634i −0.0728153 0.296692i
\(241\) −7.78203 9.27426i −0.501284 0.597408i 0.454766 0.890611i \(-0.349723\pi\)
−0.956050 + 0.293204i \(0.905279\pi\)
\(242\) −2.25308 + 0.643817i −0.144833 + 0.0413861i
\(243\) 5.25984 + 1.91443i 0.337419 + 0.122810i
\(244\) −7.87799 8.78183i −0.504337 0.562199i
\(245\) −0.764317 + 4.33466i −0.0488304 + 0.276931i
\(246\) 0.884259 12.4805i 0.0563783 0.795729i
\(247\) −19.1903 + 6.25108i −1.22105 + 0.397747i
\(248\) −1.37819 0.296921i −0.0875154 0.0188545i
\(249\) 19.1347 + 3.37397i 1.21261 + 0.213817i
\(250\) 7.23863 + 7.00314i 0.457811 + 0.442918i
\(251\) 6.39165 17.5609i 0.403437 1.10843i −0.557139 0.830419i \(-0.688101\pi\)
0.960577 0.278016i \(-0.0896768\pi\)
\(252\) 0.243619 + 1.15659i 0.0153466 + 0.0728586i
\(253\) 8.90900 7.47554i 0.560104 0.469983i
\(254\) 6.80174 + 13.9783i 0.426779 + 0.877073i
\(255\) −2.85390 + 4.94309i −0.178718 + 0.309549i
\(256\) −6.10270 + 14.7904i −0.381419 + 0.924402i
\(257\) 9.08137 1.60129i 0.566481 0.0998858i 0.116929 0.993140i \(-0.462695\pi\)
0.449551 + 0.893254i \(0.351584\pi\)
\(258\) 12.8814 + 8.70589i 0.801964 + 0.542005i
\(259\) 1.46491 + 2.53730i 0.0910252 + 0.157660i
\(260\) −3.69541 5.93818i −0.229180 0.368270i
\(261\) 1.21002 + 3.32449i 0.0748982 + 0.205781i
\(262\) −6.31540 + 14.1496i −0.390167 + 0.874164i
\(263\) −5.04261 + 6.00955i −0.310941 + 0.370565i −0.898770 0.438420i \(-0.855538\pi\)
0.587829 + 0.808985i \(0.299983\pi\)
\(264\) 12.5435 + 5.10823i 0.772002 + 0.314390i
\(265\) 10.2636i 0.630487i
\(266\) 6.63752 + 0.698812i 0.406972 + 0.0428469i
\(267\) 8.57748i 0.524933i
\(268\) 8.19293 25.0583i 0.500463 1.53068i
\(269\) −7.71584 + 9.19538i −0.470443 + 0.560652i −0.948132 0.317877i \(-0.897030\pi\)
0.477689 + 0.878529i \(0.341475\pi\)
\(270\) 5.41801 + 2.41823i 0.329729 + 0.147169i
\(271\) 9.12276 + 25.0646i 0.554168 + 1.52256i 0.827967 + 0.560777i \(0.189498\pi\)
−0.273799 + 0.961787i \(0.588280\pi\)
\(272\) 17.6569 7.78364i 1.07061 0.471952i
\(273\) −3.92673 6.80130i −0.237657 0.411634i
\(274\) −9.79529 + 14.4933i −0.591755 + 0.875574i
\(275\) −13.3339 + 2.35113i −0.804065 + 0.141778i
\(276\) 11.9144 0.394119i 0.717165 0.0237232i
\(277\) 8.66220 15.0034i 0.520461 0.901465i −0.479256 0.877675i \(-0.659093\pi\)
0.999717 0.0237896i \(-0.00757318\pi\)
\(278\) 11.8141 5.74868i 0.708563 0.344783i
\(279\) 0.208421 0.174886i 0.0124778 0.0104701i
\(280\) 0.315571 + 2.29126i 0.0188589 + 0.136929i
\(281\) −5.38466 + 14.7942i −0.321222 + 0.882549i 0.669027 + 0.743238i \(0.266711\pi\)
−0.990249 + 0.139311i \(0.955511\pi\)
\(282\) −13.0095 + 13.4470i −0.774704 + 0.800755i
\(283\) 3.40324 + 0.600082i 0.202301 + 0.0356712i 0.273880 0.961764i \(-0.411693\pi\)
−0.0715791 + 0.997435i \(0.522804\pi\)
\(284\) 4.69334 + 0.668412i 0.278498 + 0.0396630i
\(285\) 3.44811 3.83525i 0.204248 0.227181i
\(286\) 19.9653 + 1.41456i 1.18057 + 0.0836448i
\(287\) −1.06177 + 6.02162i −0.0626745 + 0.355445i
\(288\) −1.53157 2.68116i −0.0902487 0.157989i
\(289\) −5.89364 2.14511i −0.346685 0.126183i
\(290\) 1.90208 + 6.65644i 0.111694 + 0.390880i
\(291\) 3.52727 + 4.20364i 0.206772 + 0.246421i
\(292\) −4.64472 11.5573i −0.271812 0.676337i
\(293\) 12.9386 + 7.47010i 0.755881 + 0.436408i 0.827815 0.561001i \(-0.189584\pi\)
−0.0719340 + 0.997409i \(0.522917\pi\)
\(294\) −1.33778 12.8417i −0.0780210 0.748946i
\(295\) 0.140462 + 0.796601i 0.00817802 + 0.0463799i
\(296\) −5.67375 5.13708i −0.329780 0.298587i
\(297\) −14.7044 + 8.48957i −0.853234 + 0.492615i
\(298\) −1.37787 + 0.999149i −0.0798181 + 0.0578791i
\(299\) 16.5546 6.02539i 0.957378 0.348457i
\(300\) −12.2420 6.53809i −0.706791 0.377477i
\(301\) −5.82044 4.88393i −0.335485 0.281505i
\(302\) −0.808018 + 3.22813i −0.0464962 + 0.185758i
\(303\) 1.20333 0.0691297
\(304\) −17.0652 + 3.57499i −0.978754 + 0.205040i
\(305\) 4.45518 0.255103
\(306\) −0.904222 + 3.61248i −0.0516909 + 0.206512i
\(307\) −2.10257 1.76426i −0.120000 0.100692i 0.580813 0.814037i \(-0.302735\pi\)
−0.700813 + 0.713345i \(0.747179\pi\)
\(308\) −5.83837 3.11811i −0.332672 0.177671i
\(309\) −22.1106 + 8.04762i −1.25783 + 0.457813i
\(310\) 0.431004 0.312538i 0.0244794 0.0177509i
\(311\) 17.7003 10.2193i 1.00369 0.579481i 0.0943518 0.995539i \(-0.469922\pi\)
0.909338 + 0.416058i \(0.136589\pi\)
\(312\) 15.2086 + 13.7701i 0.861020 + 0.779578i
\(313\) −3.53964 20.0743i −0.200072 1.13467i −0.905008 0.425395i \(-0.860135\pi\)
0.704936 0.709271i \(-0.250976\pi\)
\(314\) 0.483727 + 4.64343i 0.0272983 + 0.262044i
\(315\) −0.386554 0.223177i −0.0217798 0.0125746i
\(316\) 10.4221 + 25.9330i 0.586292 + 1.45884i
\(317\) −18.5300 22.0832i −1.04075 1.24032i −0.970072 0.242818i \(-0.921928\pi\)
−0.0706777 0.997499i \(-0.522516\pi\)
\(318\) 8.27192 + 28.9481i 0.463866 + 1.62333i
\(319\) −18.6166 6.77589i −1.04233 0.379377i
\(320\) −2.61870 5.44518i −0.146390 0.304395i
\(321\) −4.07190 + 23.0929i −0.227272 + 1.28892i
\(322\) −5.81120 0.411730i −0.323846 0.0229448i
\(323\) 17.8408 + 11.1297i 0.992690 + 0.619275i
\(324\) −13.9879 1.99212i −0.777105 0.110673i
\(325\) −20.1983 3.56151i −1.12040 0.197557i
\(326\) 0.177401 0.183366i 0.00982534 0.0101557i
\(327\) −1.88103 + 5.16807i −0.104021 + 0.285795i
\(328\) −2.17942 15.8241i −0.120338 0.873739i
\(329\) 7.00441 5.87740i 0.386166 0.324032i
\(330\) −4.59904 + 2.23787i −0.253169 + 0.123191i
\(331\) 1.83809 3.18366i 0.101030 0.174990i −0.811079 0.584937i \(-0.801119\pi\)
0.912109 + 0.409947i \(0.134453\pi\)
\(332\) 24.7921 0.820099i 1.36064 0.0450088i
\(333\) 1.45464 0.256492i 0.0797137 0.0140557i
\(334\) 10.3470 15.3097i 0.566164 0.837710i
\(335\) 4.97791 + 8.62200i 0.271972 + 0.471070i
\(336\) −2.73669 6.20807i −0.149299 0.338678i
\(337\) 10.2016 + 28.0286i 0.555716 + 1.52682i 0.825790 + 0.563978i \(0.190730\pi\)
−0.270074 + 0.962840i \(0.587048\pi\)
\(338\) 10.8984 + 4.86428i 0.592793 + 0.264582i
\(339\) −4.90496 + 5.84551i −0.266401 + 0.317484i
\(340\) −2.26454 + 6.92617i −0.122812 + 0.375624i
\(341\) 1.52357i 0.0825059i
\(342\) 1.47557 3.02402i 0.0797898 0.163520i
\(343\) 13.8886i 0.749914i
\(344\) 18.3831 + 7.48633i 0.991151 + 0.403636i
\(345\) −2.89368 + 3.44855i −0.155790 + 0.185664i
\(346\) 0.761129 1.70530i 0.0409186 0.0916776i
\(347\) −9.95707 27.3568i −0.534524 1.46859i −0.853634 0.520874i \(-0.825606\pi\)
0.319110 0.947718i \(-0.396616\pi\)
\(348\) −10.7295 17.2413i −0.575161 0.924229i
\(349\) −9.01897 15.6213i −0.482774 0.836189i 0.517030 0.855967i \(-0.327037\pi\)
−0.999804 + 0.0197778i \(0.993704\pi\)
\(350\) 5.61938 + 3.79785i 0.300369 + 0.203003i
\(351\) −25.3294 + 4.46626i −1.35198 + 0.238391i
\(352\) 17.0143 + 3.08083i 0.906866 + 0.164209i
\(353\) −13.3944 + 23.1997i −0.712910 + 1.23480i 0.250850 + 0.968026i \(0.419290\pi\)
−0.963760 + 0.266770i \(0.914044\pi\)
\(354\) −1.03819 2.13358i −0.0551790 0.113398i
\(355\) −1.37141 + 1.15075i −0.0727870 + 0.0610755i
\(356\) −2.25706 10.7155i −0.119624 0.567920i
\(357\) −2.79850 + 7.68883i −0.148113 + 0.406936i
\(358\) 8.45531 + 8.18024i 0.446877 + 0.432339i
\(359\) 17.0891 + 3.01327i 0.901929 + 0.159034i 0.605337 0.795970i \(-0.293039\pi\)
0.296593 + 0.955004i \(0.404150\pi\)
\(360\) 1.13989 + 0.245581i 0.0600777 + 0.0129433i
\(361\) −13.6871 13.1782i −0.720373 0.693587i
\(362\) 1.43258 20.2196i 0.0752947 1.06272i
\(363\) −0.450740 + 2.55627i −0.0236577 + 0.134170i
\(364\) −6.69519 7.46332i −0.350923 0.391184i
\(365\) 4.42002 + 1.60876i 0.231355 + 0.0842062i
\(366\) −12.5657 + 3.59064i −0.656818 + 0.187686i
\(367\) −14.8155 17.6564i −0.773361 0.921656i 0.225252 0.974300i \(-0.427679\pi\)
−0.998613 + 0.0526448i \(0.983235\pi\)
\(368\) 14.7805 3.62749i 0.770488 0.189096i
\(369\) 2.66965 + 1.54133i 0.138977 + 0.0802382i
\(370\) 2.87479 0.299480i 0.149453 0.0155692i
\(371\) −2.55491 14.4896i −0.132644 0.752263i
\(372\) −0.963742 + 1.22887i −0.0499677 + 0.0637138i
\(373\) 12.3630 7.13780i 0.640133 0.369581i −0.144533 0.989500i \(-0.546168\pi\)
0.784666 + 0.619919i \(0.212835\pi\)
\(374\) −12.2418 16.8820i −0.633006 0.872946i
\(375\) 10.4841 3.81589i 0.541395 0.197052i
\(376\) −12.7138 + 20.2220i −0.655666 + 1.04287i
\(377\) −22.9893 19.2904i −1.18401 0.993504i
\(378\) 8.25083 + 2.06523i 0.424377 + 0.106224i
\(379\) 3.94639 0.202713 0.101356 0.994850i \(-0.467682\pi\)
0.101356 + 0.994850i \(0.467682\pi\)
\(380\) 3.29839 5.69855i 0.169204 0.292329i
\(381\) 17.2200 0.882209
\(382\) −4.68855 1.17357i −0.239887 0.0600449i
\(383\) 2.54527 + 2.13574i 0.130057 + 0.109131i 0.705496 0.708714i \(-0.250724\pi\)
−0.575439 + 0.817845i \(0.695169\pi\)
\(384\) 11.7745 + 13.2474i 0.600863 + 0.676029i
\(385\) 2.34877 0.854881i 0.119704 0.0435688i
\(386\) −16.6229 22.9237i −0.846082 1.16679i
\(387\) −3.31738 + 1.91529i −0.168632 + 0.0973596i
\(388\) 5.51261 + 4.32327i 0.279860 + 0.219481i
\(389\) 1.28952 + 7.31325i 0.0653814 + 0.370797i 0.999890 + 0.0148550i \(0.00472867\pi\)
−0.934508 + 0.355942i \(0.884160\pi\)
\(390\) −7.70596 + 0.802764i −0.390206 + 0.0406495i
\(391\) −15.8956 9.17733i −0.803875 0.464117i
\(392\) −5.05038 15.6906i −0.255082 0.792497i
\(393\) 11.0330 + 13.1487i 0.556543 + 0.663262i
\(394\) 18.9419 5.41265i 0.954279 0.272685i
\(395\) −9.91795 3.60984i −0.499026 0.181631i
\(396\) −2.48391 + 2.22826i −0.124821 + 0.111975i
\(397\) 3.75365 21.2880i 0.188390 1.06841i −0.733132 0.680087i \(-0.761942\pi\)
0.921522 0.388327i \(-0.126947\pi\)
\(398\) 2.43622 34.3850i 0.122117 1.72357i
\(399\) 3.91316 6.27274i 0.195903 0.314030i
\(400\) −17.0138 4.94645i −0.850691 0.247322i
\(401\) 20.7532 + 3.65934i 1.03636 + 0.182739i 0.665848 0.746088i \(-0.268070\pi\)
0.370515 + 0.928826i \(0.379181\pi\)
\(402\) −20.9889 20.3061i −1.04683 1.01278i
\(403\) −0.789354 + 2.16873i −0.0393205 + 0.108032i
\(404\) 1.50328 0.316642i 0.0747908 0.0157535i
\(405\) 4.08731 3.42966i 0.203100 0.170421i
\(406\) 4.34225 + 8.92375i 0.215502 + 0.442878i
\(407\) −4.13569 + 7.16323i −0.204999 + 0.355068i
\(408\) 0.804928 21.3601i 0.0398499 1.05748i
\(409\) −0.265891 + 0.0468838i −0.0131475 + 0.00231825i −0.180218 0.983627i \(-0.557680\pi\)
0.167071 + 0.985945i \(0.446569\pi\)
\(410\) 4.99776 + 3.37772i 0.246822 + 0.166814i
\(411\) 9.68879 + 16.7815i 0.477913 + 0.827770i
\(412\) −25.5043 + 15.8717i −1.25651 + 0.781942i
\(413\) 0.396595 + 1.08964i 0.0195152 + 0.0536174i
\(414\) −1.19708 + 2.68205i −0.0588335 + 0.131816i
\(415\) −6.02128 + 7.17589i −0.295573 + 0.352250i
\(416\) 22.6230 + 13.2005i 1.10918 + 0.647206i
\(417\) 14.5540i 0.712712i
\(418\) 7.66087 + 17.2147i 0.374706 + 0.842001i
\(419\) 4.30895i 0.210506i −0.994445 0.105253i \(-0.966435\pi\)
0.994445 0.105253i \(-0.0335652\pi\)
\(420\) 2.43521 + 0.796203i 0.118826 + 0.0388507i
\(421\) −7.34047 + 8.74803i −0.357753 + 0.426353i −0.914661 0.404221i \(-0.867543\pi\)
0.556909 + 0.830574i \(0.311987\pi\)
\(422\) −15.0260 6.70658i −0.731455 0.326471i
\(423\) −1.57664 4.33178i −0.0766588 0.210618i
\(424\) 17.9511 + 33.9870i 0.871781 + 1.65055i
\(425\) 10.6843 + 18.5058i 0.518266 + 0.897663i
\(426\) 2.94057 4.35093i 0.142471 0.210803i
\(427\) 6.28959 1.10903i 0.304375 0.0536695i
\(428\) 0.989744 + 29.9205i 0.0478411 + 1.44626i
\(429\) 11.0858 19.2012i 0.535229 0.927044i
\(430\) −6.74009 + 3.27969i −0.325036 + 0.158161i
\(431\) 18.5249 15.5443i 0.892315 0.748741i −0.0763579 0.997080i \(-0.524329\pi\)
0.968673 + 0.248339i \(0.0798847\pi\)
\(432\) −22.1707 + 1.46838i −1.06669 + 0.0706476i
\(433\) −0.996702 + 2.73842i −0.0478984 + 0.131600i −0.961335 0.275381i \(-0.911196\pi\)
0.913437 + 0.406981i \(0.133418\pi\)
\(434\) 0.530670 0.548514i 0.0254730 0.0263295i
\(435\) 7.55220 + 1.33166i 0.362100 + 0.0638481i
\(436\) −0.989975 + 6.95123i −0.0474112 + 0.332904i
\(437\) 12.3331 + 11.0881i 0.589971 + 0.530418i
\(438\) −13.7631 0.975130i −0.657625 0.0465935i
\(439\) −1.63239 + 9.25775i −0.0779098 + 0.441848i 0.920753 + 0.390147i \(0.127576\pi\)
−0.998663 + 0.0517018i \(0.983535\pi\)
\(440\) −5.15652 + 4.00585i −0.245828 + 0.190972i
\(441\) 2.98922 + 1.08799i 0.142344 + 0.0518089i
\(442\) −8.67913 30.3731i −0.412824 1.44470i
\(443\) 5.87925 + 7.00661i 0.279331 + 0.332894i 0.887409 0.460984i \(-0.152503\pi\)
−0.608077 + 0.793878i \(0.708059\pi\)
\(444\) −7.86688 + 3.16160i −0.373345 + 0.150043i
\(445\) 3.58130 + 2.06767i 0.169770 + 0.0980168i
\(446\) 2.95647 + 28.3800i 0.139993 + 1.34383i
\(447\) 0.327392 + 1.85673i 0.0154851 + 0.0878204i
\(448\) −5.05241 7.03536i −0.238704 0.332390i
\(449\) 11.1663 6.44689i 0.526973 0.304248i −0.212810 0.977094i \(-0.568262\pi\)
0.739783 + 0.672846i \(0.234928\pi\)
\(450\) 2.76818 2.00731i 0.130493 0.0946256i
\(451\) −16.2213 + 5.90406i −0.763830 + 0.278011i
\(452\) −4.58940 + 8.59323i −0.215867 + 0.404192i
\(453\) 2.82382 + 2.36947i 0.132675 + 0.111327i
\(454\) −1.37668 + 5.49999i −0.0646106 + 0.258127i
\(455\) 3.78628 0.177503
\(456\) −4.71024 + 18.7309i −0.220577 + 0.877153i
\(457\) 24.3871 1.14078 0.570390 0.821374i \(-0.306792\pi\)
0.570390 + 0.821374i \(0.306792\pi\)
\(458\) −7.40312 + 29.5764i −0.345925 + 1.38201i
\(459\) 20.5277 + 17.2248i 0.958151 + 0.803985i
\(460\) −2.70751 + 5.06957i −0.126238 + 0.236370i
\(461\) −17.8483 + 6.49625i −0.831278 + 0.302561i −0.722383 0.691493i \(-0.756953\pi\)
−0.108895 + 0.994053i \(0.534731\pi\)
\(462\) −5.93562 + 4.30414i −0.276150 + 0.200247i
\(463\) 34.9271 20.1652i 1.62320 0.937155i 0.637143 0.770746i \(-0.280116\pi\)
0.986057 0.166409i \(-0.0532171\pi\)
\(464\) −17.9407 18.7155i −0.832878 0.868845i
\(465\) −0.102409 0.580793i −0.00474913 0.0269336i
\(466\) −0.134502 1.29112i −0.00623068 0.0598101i
\(467\) −22.7989 13.1630i −1.05501 0.609109i −0.130961 0.991388i \(-0.541806\pi\)
−0.924047 + 0.382278i \(0.875140\pi\)
\(468\) −4.69019 + 1.88493i −0.216804 + 0.0871310i
\(469\) 9.17383 + 10.9329i 0.423608 + 0.504837i
\(470\) −2.47839 8.67327i −0.114320 0.400068i
\(471\) 4.85965 + 1.76877i 0.223921 + 0.0815005i
\(472\) −1.85839 2.39220i −0.0855392 0.110110i
\(473\) 3.72485 21.1247i 0.171269 0.971314i
\(474\) 30.8825 + 2.18806i 1.41848 + 0.100501i
\(475\) −5.98017 18.3586i −0.274389 0.842350i
\(476\) −1.47284 + 10.3417i −0.0675075 + 0.474012i
\(477\) −7.30498 1.28807i −0.334472 0.0589765i
\(478\) 13.3216 13.7695i 0.609314 0.629803i
\(479\) −8.12858 + 22.3331i −0.371404 + 1.02042i 0.603415 + 0.797428i \(0.293806\pi\)
−0.974819 + 0.222997i \(0.928416\pi\)
\(480\) −6.69303 0.0307804i −0.305494 0.00140493i
\(481\) −9.59822 + 8.05386i −0.437641 + 0.367224i
\(482\) −15.3955 + 7.49139i −0.701248 + 0.341223i
\(483\) −3.22670 + 5.58881i −0.146820 + 0.254300i
\(484\) 0.109560 + 3.31205i 0.00497999 + 0.150548i
\(485\) −2.60539 + 0.459401i −0.118305 + 0.0208603i
\(486\) 4.43256 6.55853i 0.201065 0.297501i
\(487\) 0.348135 + 0.602987i 0.0157755 + 0.0273240i 0.873805 0.486276i \(-0.161645\pi\)
−0.858030 + 0.513600i \(0.828312\pi\)
\(488\) −14.7529 + 7.79213i −0.667834 + 0.352733i
\(489\) −0.0966628 0.265579i −0.00437124 0.0120099i
\(490\) 5.68422 + 2.53704i 0.256787 + 0.114612i
\(491\) −20.8082 + 24.7982i −0.939061 + 1.11913i 0.0536445 + 0.998560i \(0.482916\pi\)
−0.992705 + 0.120569i \(0.961528\pi\)
\(492\) −16.8183 5.49881i −0.758226 0.247905i
\(493\) 31.2669i 1.40819i
\(494\) 1.98603 + 28.4735i 0.0893557 + 1.28108i
\(495\) 1.26013i 0.0566388i
\(496\) −0.880603 + 1.78877i −0.0395402 + 0.0803182i
\(497\) −1.64963 + 1.96596i −0.0739962 + 0.0881852i
\(498\) 11.1994 25.0922i 0.501858 1.12441i
\(499\) 10.2442 + 28.1458i 0.458595 + 1.25998i 0.926531 + 0.376218i \(0.122776\pi\)
−0.467936 + 0.883762i \(0.655002\pi\)
\(500\) 12.0932 7.52579i 0.540825 0.336564i
\(501\) −10.2345 17.7267i −0.457245 0.791972i
\(502\) −21.8968 14.7989i −0.977302 0.660507i
\(503\) −14.2238 + 2.50804i −0.634208 + 0.111828i −0.481504 0.876444i \(-0.659909\pi\)
−0.152704 + 0.988272i \(0.548798\pi\)
\(504\) 1.67038 + 0.0629460i 0.0744045 + 0.00280384i
\(505\) −0.290073 + 0.502421i −0.0129081 + 0.0223574i
\(506\) −7.19635 14.7892i −0.319917 0.657460i
\(507\) 10.1274 8.49792i 0.449775 0.377406i
\(508\) 21.5123 4.53123i 0.954453 0.201041i
\(509\) 14.4187 39.6151i 0.639098 1.75591i −0.0154441 0.999881i \(-0.504916\pi\)
0.654542 0.756026i \(-0.272862\pi\)
\(510\) 5.80138 + 5.61265i 0.256889 + 0.248532i
\(511\) 6.64043 + 1.17089i 0.293755 + 0.0517970i
\(512\) 18.1952 + 13.4511i 0.804124 + 0.594462i
\(513\) −14.9212 19.0690i −0.658786 0.841915i
\(514\) 0.921668 13.0085i 0.0406530 0.573781i
\(515\) 1.96987 11.1717i 0.0868027 0.492282i
\(516\) 16.3669 14.6824i 0.720513 0.646357i
\(517\) 24.2572 + 8.82890i 1.06683 + 0.388295i
\(518\) 3.98394 1.13841i 0.175044 0.0500189i
\(519\) −1.32970 1.58467i −0.0583672 0.0695593i
\(520\) −9.41550 + 3.03058i −0.412897 + 0.132900i
\(521\) 8.57677 + 4.95180i 0.375755 + 0.216942i 0.675970 0.736929i \(-0.263725\pi\)
−0.300215 + 0.953872i \(0.597058\pi\)
\(522\) 4.97635 0.518408i 0.217809 0.0226901i
\(523\) −0.677373 3.84158i −0.0296195 0.167980i 0.966410 0.257006i \(-0.0827359\pi\)
−0.996029 + 0.0890253i \(0.971625\pi\)
\(524\) 17.2430 + 13.5229i 0.753265 + 0.590750i
\(525\) 6.50655 3.75656i 0.283969 0.163950i
\(526\) 6.51285 + 8.98153i 0.283974 + 0.391614i
\(527\) 2.25953 0.822403i 0.0984269 0.0358244i
\(528\) 11.3153 15.4542i 0.492434 0.672560i
\(529\) 6.52945 + 5.47886i 0.283889 + 0.238211i
\(530\) −14.0805 3.52443i −0.611619 0.153091i
\(531\) 0.584598 0.0253694
\(532\) 3.23796 8.86598i 0.140383 0.384389i
\(533\) −26.1491 −1.13264
\(534\) −11.7674 2.94543i −0.509224 0.127461i
\(535\) −8.66028 7.26684i −0.374417 0.314173i
\(536\) −31.5638 19.8446i −1.36335 0.857156i
\(537\) 12.2463 4.45727i 0.528465 0.192346i
\(538\) 9.96550 + 13.7429i 0.429643 + 0.592498i
\(539\) −15.4268 + 8.90670i −0.664481 + 0.383639i
\(540\) 5.17804 6.60251i 0.222827 0.284127i
\(541\) 4.35056 + 24.6733i 0.187045 + 1.06079i 0.923299 + 0.384081i \(0.125482\pi\)
−0.736254 + 0.676705i \(0.763407\pi\)
\(542\) 37.5185 3.90847i 1.61156 0.167883i
\(543\) −19.4458 11.2270i −0.834499 0.481798i
\(544\) −4.61508 26.8961i −0.197870 1.15316i
\(545\) −1.70436 2.03118i −0.0730067 0.0870060i
\(546\) −10.6790 + 3.05154i −0.457021 + 0.130594i
\(547\) −15.2865 5.56383i −0.653604 0.237892i −0.00613128 0.999981i \(-0.501952\pi\)
−0.647472 + 0.762089i \(0.724174\pi\)
\(548\) 16.5196 + 18.4149i 0.705684 + 0.786647i
\(549\) 0.559118 3.17092i 0.0238626 0.135331i
\(550\) −1.35326 + 19.1000i −0.0577031 + 0.814428i
\(551\) 5.85333 27.6388i 0.249360 1.17745i
\(552\) 3.55063 16.4806i 0.151125 0.701463i
\(553\) −14.9003 2.62732i −0.633623 0.111725i
\(554\) −17.6084 17.0356i −0.748111 0.723773i
\(555\) 1.09506 3.00865i 0.0464827 0.127710i
\(556\) −3.82970 18.1817i −0.162415 0.771076i
\(557\) −16.5072 + 13.8512i −0.699432 + 0.586893i −0.921612 0.388112i \(-0.873127\pi\)
0.222180 + 0.975006i \(0.428683\pi\)
\(558\) −0.168354 0.345985i −0.00712701 0.0146467i
\(559\) 16.2468 28.1402i 0.687165 1.19021i
\(560\) 3.25172 + 0.353869i 0.137410 + 0.0149537i
\(561\) −22.7490 + 4.01127i −0.960465 + 0.169356i
\(562\) 18.4470 + 12.4674i 0.778140 + 0.525904i
\(563\) 5.48942 + 9.50796i 0.231352 + 0.400713i 0.958206 0.286079i \(-0.0923519\pi\)
−0.726855 + 0.686791i \(0.759019\pi\)
\(564\) 13.9804 + 22.4652i 0.588681 + 0.945954i
\(565\) −1.25826 3.45704i −0.0529354 0.145439i
\(566\) 1.99189 4.46280i 0.0837253 0.187586i
\(567\) 4.91652 5.85928i 0.206474 0.246066i
\(568\) 2.52864 6.20922i 0.106099 0.260533i
\(569\) 0.529264i 0.0221879i 0.999938 + 0.0110940i \(0.00353139\pi\)
−0.999938 + 0.0110940i \(0.996469\pi\)
\(570\) −4.07749 6.04742i −0.170787 0.253299i
\(571\) 42.0314i 1.75896i 0.475935 + 0.879480i \(0.342110\pi\)
−0.475935 + 0.879480i \(0.657890\pi\)
\(572\) 8.79652 26.9044i 0.367801 1.12493i
\(573\) −3.44142 + 4.10132i −0.143767 + 0.171335i
\(574\) 7.89640 + 3.52441i 0.329589 + 0.147106i
\(575\) 5.76426 + 15.8372i 0.240386 + 0.660456i
\(576\) −4.20419 + 1.18046i −0.175174 + 0.0491859i
\(577\) 6.38905 + 11.0662i 0.265980 + 0.460691i 0.967820 0.251644i \(-0.0809712\pi\)
−0.701840 + 0.712335i \(0.747638\pi\)
\(578\) −4.96668 + 7.34882i −0.206587 + 0.305670i
\(579\) −30.8905 + 5.44683i −1.28377 + 0.226363i
\(580\) 9.78507 0.323681i 0.406303 0.0134401i
\(581\) −6.71425 + 11.6294i −0.278554 + 0.482470i
\(582\) 6.97816 3.39553i 0.289254 0.140749i
\(583\) 31.8197 26.6999i 1.31784 1.10580i
\(584\) −17.4502 + 2.40339i −0.722096 + 0.0994530i
\(585\) 0.652869 1.79374i 0.0269928 0.0741622i
\(586\) 14.6912 15.1852i 0.606886 0.627293i
\(587\) −20.8963 3.68458i −0.862483 0.152079i −0.275127 0.961408i \(-0.588720\pi\)
−0.587356 + 0.809329i \(0.699831\pi\)
\(588\) −18.0768 2.57445i −0.745476 0.106169i
\(589\) −2.15130 + 0.303978i −0.0886429 + 0.0125252i
\(590\) 1.14108 + 0.0808470i 0.0469776 + 0.00332842i
\(591\) 3.78943 21.4909i 0.155876 0.884018i
\(592\) −8.99583 + 6.01973i −0.369726 + 0.247409i
\(593\) −33.1969 12.0827i −1.36323 0.496176i −0.446180 0.894943i \(-0.647216\pi\)
−0.917052 + 0.398767i \(0.869438\pi\)
\(594\) 6.59740 + 23.0880i 0.270695 + 0.947312i
\(595\) −2.53567 3.02189i −0.103952 0.123886i
\(596\) 0.897573 + 2.23339i 0.0367660 + 0.0914832i
\(597\) −33.0692 19.0925i −1.35343 0.781404i
\(598\) −2.58146 24.7802i −0.105564 1.01334i
\(599\) −5.24954 29.7716i −0.214490 1.21644i −0.881789 0.471645i \(-0.843660\pi\)
0.667298 0.744791i \(-0.267451\pi\)
\(600\) −13.1733 + 14.5495i −0.537799 + 0.593982i
\(601\) −30.8900 + 17.8343i −1.26003 + 0.727478i −0.973080 0.230468i \(-0.925974\pi\)
−0.286949 + 0.957946i \(0.592641\pi\)
\(602\) −8.69890 + 6.30791i −0.354541 + 0.257091i
\(603\) 6.76132 2.46092i 0.275342 0.100216i
\(604\) 4.15118 + 2.21702i 0.168909 + 0.0902094i
\(605\) −0.958651 0.804404i −0.0389747 0.0327037i
\(606\) 0.413214 1.65084i 0.0167857 0.0670609i
\(607\) −3.61581 −0.146761 −0.0733806 0.997304i \(-0.523379\pi\)
−0.0733806 + 0.997304i \(0.523379\pi\)
\(608\) −0.955529 + 24.6391i −0.0387518 + 0.999249i
\(609\) 10.9933 0.445471
\(610\) 1.52987 6.11201i 0.0619426 0.247468i
\(611\) 29.9548 + 25.1351i 1.21184 + 1.01686i
\(612\) 4.64542 + 2.48099i 0.187780 + 0.100288i
\(613\) −1.15127 + 0.419027i −0.0464992 + 0.0169243i −0.365165 0.930943i \(-0.618987\pi\)
0.318666 + 0.947867i \(0.396765\pi\)
\(614\) −3.14238 + 2.27866i −0.126816 + 0.0919592i
\(615\) 5.78679 3.34100i 0.233346 0.134722i
\(616\) −6.28254 + 6.93887i −0.253131 + 0.279575i
\(617\) −3.68259 20.8850i −0.148256 0.840799i −0.964695 0.263368i \(-0.915167\pi\)
0.816440 0.577431i \(-0.195945\pi\)
\(618\) 3.44785 + 33.0969i 0.138693 + 1.33135i
\(619\) 9.34154 + 5.39334i 0.375468 + 0.216777i 0.675845 0.737044i \(-0.263779\pi\)
−0.300376 + 0.953821i \(0.597112\pi\)
\(620\) −0.280764 0.698613i −0.0112758 0.0280570i
\(621\) 13.5853 + 16.1903i 0.545159 + 0.649695i
\(622\) −7.94158 27.7920i −0.318428 1.11436i
\(623\) 5.57061 + 2.02754i 0.223182 + 0.0812315i
\(624\) 24.1136 16.1360i 0.965315 0.645959i
\(625\) 2.91189 16.5142i 0.116476 0.660567i
\(626\) −28.7552 2.03734i −1.14929 0.0814285i
\(627\) 20.8602 + 0.712919i 0.833077 + 0.0284712i
\(628\) 6.53639 + 0.930894i 0.260830 + 0.0371467i
\(629\) 12.8559 + 2.26683i 0.512596 + 0.0903846i
\(630\) −0.438914 + 0.453673i −0.0174867 + 0.0180747i
\(631\) −7.69640 + 21.1457i −0.306389 + 0.841796i 0.686965 + 0.726691i \(0.258943\pi\)
−0.993353 + 0.115105i \(0.963279\pi\)
\(632\) 39.1561 5.39289i 1.55754 0.214518i
\(633\) −13.9631 + 11.7164i −0.554983 + 0.465686i
\(634\) −36.6588 + 17.8380i −1.45591 + 0.708436i
\(635\) −4.15102 + 7.18978i −0.164728 + 0.285318i
\(636\) 42.5541 1.40765i 1.68738 0.0558170i
\(637\) −26.5740 + 4.68571i −1.05290 + 0.185654i
\(638\) −15.6885 + 23.2131i −0.621115 + 0.919017i
\(639\) 0.646923 + 1.12050i 0.0255919 + 0.0443264i
\(640\) −8.36943 + 1.72273i −0.330831 + 0.0680970i
\(641\) −13.3995 36.8148i −0.529248 1.45410i −0.859958 0.510364i \(-0.829511\pi\)
0.330710 0.943732i \(-0.392712\pi\)
\(642\) 30.2827 + 13.5161i 1.19516 + 0.533438i
\(643\) 12.1261 14.4513i 0.478207 0.569905i −0.471970 0.881614i \(-0.656457\pi\)
0.950177 + 0.311709i \(0.100902\pi\)
\(644\) −2.56036 + 7.83094i −0.100892 + 0.308582i
\(645\) 8.30322i 0.326939i
\(646\) 21.3952 20.6538i 0.841781 0.812612i
\(647\) 20.3440i 0.799806i 0.916557 + 0.399903i \(0.130956\pi\)
−0.916557 + 0.399903i \(0.869044\pi\)
\(648\) −7.53628 + 18.5058i −0.296053 + 0.726975i
\(649\) −2.10426 + 2.50776i −0.0825995 + 0.0984383i
\(650\) −11.8219 + 26.4869i −0.463695 + 1.03890i
\(651\) −0.289153 0.794441i −0.0113328 0.0311366i
\(652\) −0.190641 0.306341i −0.00746606 0.0119972i
\(653\) 11.1928 + 19.3865i 0.438008 + 0.758651i 0.997536 0.0701600i \(-0.0223510\pi\)
−0.559528 + 0.828811i \(0.689018\pi\)
\(654\) 6.44410 + 4.35523i 0.251984 + 0.170303i
\(655\) −8.14948 + 1.43697i −0.318426 + 0.0561472i
\(656\) −22.4573 2.44393i −0.876810 0.0954193i
\(657\) 1.69972 2.94400i 0.0663124 0.114856i
\(658\) −5.65790 11.6275i −0.220568 0.453289i
\(659\) −10.9733 + 9.20773i −0.427461 + 0.358682i −0.830993 0.556283i \(-0.812227\pi\)
0.403532 + 0.914966i \(0.367782\pi\)
\(660\) 1.49084 + 7.07784i 0.0580308 + 0.275505i
\(661\) 5.54631 15.2384i 0.215726 0.592703i −0.783876 0.620918i \(-0.786760\pi\)
0.999602 + 0.0282147i \(0.00898221\pi\)
\(662\) −3.73645 3.61490i −0.145221 0.140497i
\(663\) −34.4605 6.07631i −1.33833 0.235984i
\(664\) 7.38829 34.2936i 0.286721 1.33085i
\(665\) 1.67572 + 3.14593i 0.0649818 + 0.121994i
\(666\) 0.147631 2.08368i 0.00572059 0.0807410i
\(667\) −4.28223 + 24.2858i −0.165809 + 0.940348i
\(668\) −17.4502 19.4522i −0.675167 0.752628i
\(669\) 29.7015 + 10.8105i 1.14833 + 0.417956i
\(670\) 13.5378 3.86843i 0.523011 0.149451i
\(671\) 11.5898 + 13.8122i 0.447419 + 0.533213i
\(672\) −9.45655 + 1.62264i −0.364794 + 0.0625947i
\(673\) 24.7321 + 14.2791i 0.953352 + 0.550418i 0.894121 0.447826i \(-0.147802\pi\)
0.0592314 + 0.998244i \(0.481135\pi\)
\(674\) 41.9554 4.37067i 1.61606 0.168352i
\(675\) −4.27270 24.2317i −0.164456 0.932678i
\(676\) 10.4157 13.2810i 0.400603 0.510808i
\(677\) 8.84921 5.10909i 0.340103 0.196358i −0.320215 0.947345i \(-0.603755\pi\)
0.660318 + 0.750987i \(0.270422\pi\)
\(678\) 6.33507 + 8.73637i 0.243297 + 0.335518i
\(679\) −3.56380 + 1.29712i −0.136766 + 0.0497788i
\(680\) 8.72432 + 5.48509i 0.334563 + 0.210344i
\(681\) 4.81113 + 4.03702i 0.184363 + 0.154699i
\(682\) 2.09017 + 0.523180i 0.0800367 + 0.0200336i
\(683\) −40.4675 −1.54844 −0.774222 0.632914i \(-0.781859\pi\)
−0.774222 + 0.632914i \(0.781859\pi\)
\(684\) −3.64193 3.06275i −0.139253 0.117107i
\(685\) −9.34223 −0.356948
\(686\) 19.0536 + 4.76922i 0.727471 + 0.182090i
\(687\) 25.8720 + 21.7092i 0.987079 + 0.828258i
\(688\) 16.5830 22.6489i 0.632222 0.863480i
\(689\) 59.1271 21.5205i 2.25256 0.819865i
\(690\) 3.73737 + 5.15401i 0.142279 + 0.196210i
\(691\) 12.7642 7.36940i 0.485572 0.280345i −0.237163 0.971470i \(-0.576218\pi\)
0.722736 + 0.691124i \(0.242884\pi\)
\(692\) −2.07812 1.62977i −0.0789983 0.0619546i
\(693\) −0.313684 1.77899i −0.0119159 0.0675783i
\(694\) −40.9497 + 4.26591i −1.55443 + 0.161932i
\(695\) 6.07664 + 3.50835i 0.230500 + 0.133079i
\(696\) −27.3375 + 8.79918i −1.03623 + 0.333532i
\(697\) 17.5121 + 20.8701i 0.663317 + 0.790510i
\(698\) −24.5277 + 7.00881i −0.928389 + 0.265287i
\(699\) −1.35124 0.491812i −0.0511087 0.0186020i
\(700\) 7.13988 6.40503i 0.269862 0.242087i
\(701\) −3.61494 + 20.5013i −0.136534 + 0.774325i 0.837244 + 0.546829i \(0.184165\pi\)
−0.973779 + 0.227496i \(0.926946\pi\)
\(702\) −2.57068 + 36.2828i −0.0970241 + 1.36941i
\(703\) −10.9397 4.41047i −0.412600 0.166344i
\(704\) 10.0691 22.2838i 0.379494 0.839853i
\(705\) −9.84043 1.73513i −0.370612 0.0653489i
\(706\) 27.2279 + 26.3422i 1.02474 + 0.991400i
\(707\) −0.284443 + 0.781500i −0.0106976 + 0.0293913i
\(708\) −3.28354 + 0.691627i −0.123403 + 0.0259929i
\(709\) 21.7284 18.2323i 0.816027 0.684728i −0.136011 0.990707i \(-0.543428\pi\)
0.952038 + 0.305979i \(0.0989838\pi\)
\(710\) 1.10777 + 2.27658i 0.0415740 + 0.0854387i
\(711\) −3.81395 + 6.60595i −0.143034 + 0.247742i
\(712\) −15.4755 0.583176i −0.579970 0.0218554i
\(713\) 1.86767 0.329320i 0.0699446 0.0123331i
\(714\) 9.58725 + 6.47952i 0.358794 + 0.242490i
\(715\) 5.34465 + 9.25721i 0.199879 + 0.346200i
\(716\) 14.1259 8.79073i 0.527909 0.328525i
\(717\) −7.25868 19.9431i −0.271081 0.744788i
\(718\) 10.0021 22.4097i 0.373276 0.836321i
\(719\) 31.1096 37.0750i 1.16019 1.38266i 0.250119 0.968215i \(-0.419530\pi\)
0.910073 0.414448i \(-0.136025\pi\)
\(720\) 0.728341 1.47948i 0.0271436 0.0551369i
\(721\) 16.2619i 0.605626i
\(722\) −22.7790 + 14.2519i −0.847747 + 0.530401i
\(723\) 18.9660i 0.705354i
\(724\) −27.2471 8.90856i −1.01263 0.331084i
\(725\) 18.4543 21.9930i 0.685377 0.816801i
\(726\) 3.35215 + 1.49617i 0.124410 + 0.0555280i
\(727\) 11.1784 + 30.7123i 0.414582 + 1.13906i 0.954727 + 0.297483i \(0.0961472\pi\)
−0.540145 + 0.841572i \(0.681631\pi\)
\(728\) −12.5379 + 6.62222i −0.464686 + 0.245436i
\(729\) −14.9811 25.9481i −0.554857 0.961041i
\(730\) 3.72483 5.51135i 0.137862 0.203984i
\(731\) −33.3397 + 5.87868i −1.23311 + 0.217431i
\(732\) 0.611027 + 18.4717i 0.0225842 + 0.682734i
\(733\) −17.3930 + 30.1256i −0.642427 + 1.11272i 0.342463 + 0.939531i \(0.388739\pi\)
−0.984889 + 0.173184i \(0.944594\pi\)
\(734\) −29.3101 + 14.2621i −1.08186 + 0.526425i
\(735\) 5.28212 4.43223i 0.194834 0.163485i
\(736\) 0.0989812 21.5229i 0.00364850 0.793345i
\(737\) −13.7807 + 37.8622i −0.507619 + 1.39467i
\(738\) 3.03126 3.13319i 0.111582 0.115334i
\(739\) 11.2136 + 1.97726i 0.412499 + 0.0727346i 0.376047 0.926601i \(-0.377283\pi\)
0.0364520 + 0.999335i \(0.488394\pi\)
\(740\) 0.576325 4.04674i 0.0211861 0.148761i
\(741\) 29.3242 + 11.8224i 1.07725 + 0.434307i
\(742\) −20.7555 1.47055i −0.761958 0.0539856i
\(743\) 1.31475 7.45634i 0.0482337 0.273547i −0.951147 0.308739i \(-0.900093\pi\)
0.999381 + 0.0351919i \(0.0112043\pi\)
\(744\) 1.35493 + 1.74413i 0.0496742 + 0.0639429i
\(745\) −0.854150 0.310885i −0.0312936 0.0113900i
\(746\) −5.54692 19.4118i −0.203087 0.710715i
\(747\) 4.35169 + 5.18614i 0.159220 + 0.189751i
\(748\) −27.3639 + 10.9972i −1.00052 + 0.402099i
\(749\) −14.0351 8.10316i −0.512831 0.296083i
\(750\) −1.63484 15.6933i −0.0596961 0.573040i
\(751\) −3.02587 17.1606i −0.110416 0.626198i −0.988918 0.148461i \(-0.952568\pi\)
0.878503 0.477738i \(-0.158543\pi\)
\(752\) 23.3766 + 24.3861i 0.852456 + 0.889268i
\(753\) −25.3538 + 14.6380i −0.923943 + 0.533439i
\(754\) −34.3586 + 24.9147i −1.25127 + 0.907341i
\(755\) −1.67001 + 0.607834i −0.0607779 + 0.0221214i
\(756\) 5.66653 10.6101i 0.206090 0.385884i
\(757\) 25.6276 + 21.5041i 0.931452 + 0.781581i 0.976077 0.217423i \(-0.0697651\pi\)
−0.0446258 + 0.999004i \(0.514210\pi\)
\(758\) 1.35516 5.41402i 0.0492215 0.196646i
\(759\) −18.2191 −0.661310
\(760\) −6.68514 6.48185i −0.242496 0.235122i
\(761\) 26.3077 0.953654 0.476827 0.878997i \(-0.341787\pi\)
0.476827 + 0.878997i \(0.341787\pi\)
\(762\) 5.91321 23.6240i 0.214213 0.855807i
\(763\) −2.91175 2.44325i −0.105412 0.0884515i
\(764\) −3.22001 + 6.02918i −0.116496 + 0.218128i
\(765\) −1.86885 + 0.680204i −0.0675682 + 0.0245928i
\(766\) 3.80402 2.75844i 0.137445 0.0996664i
\(767\) −4.29458 + 2.47948i −0.155068 + 0.0895288i
\(768\) 22.2172 11.6042i 0.801695 0.418732i
\(769\) −4.38426 24.8644i −0.158100 0.896632i −0.955896 0.293704i \(-0.905112\pi\)
0.797796 0.602928i \(-0.205999\pi\)
\(770\) −0.366257 3.51581i −0.0131990 0.126701i
\(771\) −12.5107 7.22306i −0.450562 0.260132i
\(772\) −37.1570 + 14.9330i −1.33731 + 0.537449i
\