Properties

Label 150.2.l.a.53.7
Level 150
Weight 2
Character 150.53
Analytic conductor 1.198
Analytic rank 0
Dimension 80
CM No

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.l (of order \(20\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 53.7
Character \(\chi\) = 150.53
Dual form 150.2.l.a.17.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.891007 - 0.453990i) q^{2} +(-1.37558 - 1.05251i) q^{3} +(0.587785 - 0.809017i) q^{4} +(-1.04600 - 1.97633i) q^{5} +(-1.70348 - 0.313291i) q^{6} +(0.462249 - 0.462249i) q^{7} +(0.156434 - 0.987688i) q^{8} +(0.784450 + 2.89562i) q^{9} +O(q^{10})\) \(q+(0.891007 - 0.453990i) q^{2} +(-1.37558 - 1.05251i) q^{3} +(0.587785 - 0.809017i) q^{4} +(-1.04600 - 1.97633i) q^{5} +(-1.70348 - 0.313291i) q^{6} +(0.462249 - 0.462249i) q^{7} +(0.156434 - 0.987688i) q^{8} +(0.784450 + 2.89562i) q^{9} +(-1.82923 - 1.28605i) q^{10} +(-2.73512 - 0.888693i) q^{11} +(-1.66004 + 0.494220i) q^{12} +(1.97121 - 3.86872i) q^{13} +(0.202010 - 0.621723i) q^{14} +(-0.641245 + 3.81953i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(5.75574 + 0.911620i) q^{17} +(2.01354 + 2.22389i) q^{18} +(4.28299 + 5.89503i) q^{19} +(-2.21371 - 0.315425i) q^{20} +(-1.12238 + 0.149340i) q^{21} +(-2.84047 + 0.449885i) q^{22} +(0.316926 + 0.622003i) q^{23} +(-1.25474 + 1.19400i) q^{24} +(-2.81176 + 4.13449i) q^{25} -4.34197i q^{26} +(1.96860 - 4.80881i) q^{27} +(-0.102264 - 0.645670i) q^{28} +(2.60237 + 1.89073i) q^{29} +(1.16268 + 3.69434i) q^{30} +(-4.82678 + 3.50686i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(2.82702 + 4.10120i) q^{33} +(5.54227 - 1.80079i) q^{34} +(-1.39707 - 0.430043i) q^{35} +(2.80370 + 1.06737i) q^{36} +(-1.93977 - 0.988365i) q^{37} +(6.49246 + 3.30807i) q^{38} +(-6.78343 + 3.24703i) q^{39} +(-2.11563 + 0.723957i) q^{40} +(6.34331 - 2.06107i) q^{41} +(-0.932251 + 0.642614i) q^{42} +(-5.08751 - 5.08751i) q^{43} +(-2.32663 + 1.69040i) q^{44} +(4.90217 - 4.57916i) q^{45} +(0.564767 + 0.410327i) q^{46} +(-0.474965 - 2.99881i) q^{47} +(-0.575917 + 1.63350i) q^{48} +6.57265i q^{49} +(-0.628281 + 4.96037i) q^{50} +(-6.95800 - 7.31198i) q^{51} +(-1.97121 - 3.86872i) q^{52} +(2.23241 - 0.353579i) q^{53} +(-0.429121 - 5.17840i) q^{54} +(1.10458 + 6.33507i) q^{55} +(-0.384246 - 0.528869i) q^{56} +(0.312969 - 12.6170i) q^{57} +(3.17710 + 0.503203i) q^{58} +(-2.66341 - 8.19714i) q^{59} +(2.71315 + 2.76384i) q^{60} +(2.77903 - 8.55298i) q^{61} +(-2.70861 + 5.31594i) q^{62} +(1.70111 + 0.975888i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(-9.70777 + 0.150921i) q^{65} +(4.38080 + 2.37076i) q^{66} +(-2.22497 + 14.0479i) q^{67} +(4.12066 - 4.12066i) q^{68} +(0.218706 - 1.18918i) q^{69} +(-1.44003 + 0.251084i) q^{70} +(-7.15246 + 9.84451i) q^{71} +(2.98269 - 0.321816i) q^{72} +(0.498794 - 0.254148i) q^{73} -2.17706 q^{74} +(8.21940 - 2.72792i) q^{75} +7.28665 q^{76} +(-1.67510 + 0.853507i) q^{77} +(-4.56996 + 5.97273i) q^{78} +(6.00067 - 8.25922i) q^{79} +(-1.55637 + 1.60553i) q^{80} +(-7.76928 + 4.54294i) q^{81} +(4.71623 - 4.71623i) q^{82} +(-0.742236 + 4.68629i) q^{83} +(-0.538901 + 0.995806i) q^{84} +(-4.21885 - 12.3288i) q^{85} +(-6.84269 - 2.22332i) q^{86} +(-1.58976 - 5.33987i) q^{87} +(-1.30562 + 2.56242i) q^{88} +(-1.78693 + 5.49959i) q^{89} +(2.28898 - 6.30560i) q^{90} +(-0.877122 - 2.69950i) q^{91} +(0.689496 + 0.109205i) q^{92} +(10.3306 + 0.256256i) q^{93} +(-1.78463 - 2.45633i) q^{94} +(7.17051 - 14.6308i) q^{95} +(0.228447 + 1.71692i) q^{96} +(5.26300 - 0.833578i) q^{97} +(2.98392 + 5.85628i) q^{98} +(0.427760 - 8.61700i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{3} + 4q^{7} + O(q^{10}) \) \( 80q + 4q^{3} + 4q^{7} - 4q^{10} - 4q^{12} - 8q^{15} + 20q^{16} - 8q^{18} - 40q^{19} - 36q^{22} - 104q^{25} + 4q^{27} - 16q^{28} + 12q^{30} + 4q^{33} - 40q^{34} - 24q^{37} - 40q^{39} - 8q^{40} - 4q^{42} - 24q^{43} - 72q^{45} - 4q^{48} - 12q^{55} - 64q^{57} + 20q^{58} + 24q^{60} + 64q^{63} + 96q^{67} + 140q^{69} + 76q^{70} + 8q^{72} + 100q^{73} + 132q^{75} + 100q^{78} + 80q^{79} - 40q^{81} + 96q^{82} + 60q^{84} + 32q^{85} + 80q^{87} + 4q^{88} + 52q^{90} + 12q^{93} - 32q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.891007 0.453990i 0.630037 0.321020i
\(3\) −1.37558 1.05251i −0.794192 0.607666i
\(4\) 0.587785 0.809017i 0.293893 0.404508i
\(5\) −1.04600 1.97633i −0.467786 0.883842i
\(6\) −1.70348 0.313291i −0.695443 0.127901i
\(7\) 0.462249 0.462249i 0.174714 0.174714i −0.614333 0.789047i \(-0.710575\pi\)
0.789047 + 0.614333i \(0.210575\pi\)
\(8\) 0.156434 0.987688i 0.0553079 0.349201i
\(9\) 0.784450 + 2.89562i 0.261483 + 0.965208i
\(10\) −1.82923 1.28605i −0.578453 0.406684i
\(11\) −2.73512 0.888693i −0.824669 0.267951i −0.133871 0.990999i \(-0.542741\pi\)
−0.690798 + 0.723048i \(0.742741\pi\)
\(12\) −1.66004 + 0.494220i −0.479213 + 0.142669i
\(13\) 1.97121 3.86872i 0.546716 1.07299i −0.438025 0.898963i \(-0.644322\pi\)
0.984741 0.174028i \(-0.0556783\pi\)
\(14\) 0.202010 0.621723i 0.0539895 0.166163i
\(15\) −0.641245 + 3.81953i −0.165569 + 0.986198i
\(16\) −0.309017 0.951057i −0.0772542 0.237764i
\(17\) 5.75574 + 0.911620i 1.39597 + 0.221100i 0.808668 0.588266i \(-0.200189\pi\)
0.587305 + 0.809366i \(0.300189\pi\)
\(18\) 2.01354 + 2.22389i 0.474595 + 0.524175i
\(19\) 4.28299 + 5.89503i 0.982585 + 1.35241i 0.935425 + 0.353525i \(0.115017\pi\)
0.0471595 + 0.998887i \(0.484983\pi\)
\(20\) −2.21371 0.315425i −0.495000 0.0705312i
\(21\) −1.12238 + 0.149340i −0.244924 + 0.0325886i
\(22\) −2.84047 + 0.449885i −0.605589 + 0.0959159i
\(23\) 0.316926 + 0.622003i 0.0660837 + 0.129697i 0.921685 0.387938i \(-0.126813\pi\)
−0.855602 + 0.517635i \(0.826813\pi\)
\(24\) −1.25474 + 1.19400i −0.256123 + 0.243724i
\(25\) −2.81176 + 4.13449i −0.562353 + 0.826898i
\(26\) 4.34197i 0.851530i
\(27\) 1.96860 4.80881i 0.378856 0.925455i
\(28\) −0.102264 0.645670i −0.0193261 0.122020i
\(29\) 2.60237 + 1.89073i 0.483247 + 0.351100i 0.802582 0.596542i \(-0.203459\pi\)
−0.319334 + 0.947642i \(0.603459\pi\)
\(30\) 1.16268 + 3.69434i 0.212275 + 0.674492i
\(31\) −4.82678 + 3.50686i −0.866915 + 0.629850i −0.929757 0.368173i \(-0.879983\pi\)
0.0628427 + 0.998023i \(0.479983\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) 2.82702 + 4.10120i 0.492121 + 0.713928i
\(34\) 5.54227 1.80079i 0.950491 0.308833i
\(35\) −1.39707 0.430043i −0.236148 0.0726906i
\(36\) 2.80370 + 1.06737i 0.467283 + 0.177895i
\(37\) −1.93977 0.988365i −0.318897 0.162486i 0.287213 0.957867i \(-0.407271\pi\)
−0.606110 + 0.795380i \(0.707271\pi\)
\(38\) 6.49246 + 3.30807i 1.05322 + 0.536640i
\(39\) −6.78343 + 3.24703i −1.08622 + 0.519940i
\(40\) −2.11563 + 0.723957i −0.334510 + 0.114468i
\(41\) 6.34331 2.06107i 0.990659 0.321884i 0.231532 0.972827i \(-0.425626\pi\)
0.759127 + 0.650943i \(0.225626\pi\)
\(42\) −0.932251 + 0.642614i −0.143849 + 0.0991574i
\(43\) −5.08751 5.08751i −0.775838 0.775838i 0.203282 0.979120i \(-0.434839\pi\)
−0.979120 + 0.203282i \(0.934839\pi\)
\(44\) −2.32663 + 1.69040i −0.350753 + 0.254837i
\(45\) 4.90217 4.57916i 0.730773 0.682621i
\(46\) 0.564767 + 0.410327i 0.0832703 + 0.0604994i
\(47\) −0.474965 2.99881i −0.0692808 0.437422i −0.997809 0.0661599i \(-0.978925\pi\)
0.928528 0.371262i \(-0.121075\pi\)
\(48\) −0.575917 + 1.63350i −0.0831265 + 0.235775i
\(49\) 6.57265i 0.938950i
\(50\) −0.628281 + 4.96037i −0.0888524 + 0.701502i
\(51\) −6.95800 7.31198i −0.974315 1.02388i
\(52\) −1.97121 3.86872i −0.273358 0.536495i
\(53\) 2.23241 0.353579i 0.306645 0.0485679i −0.00121543 0.999999i \(-0.500387\pi\)
0.307861 + 0.951431i \(0.400387\pi\)
\(54\) −0.429121 5.17840i −0.0583960 0.704691i
\(55\) 1.10458 + 6.33507i 0.148942 + 0.854220i
\(56\) −0.384246 0.528869i −0.0513470 0.0706731i
\(57\) 0.312969 12.6170i 0.0414538 1.67116i
\(58\) 3.17710 + 0.503203i 0.417174 + 0.0660738i
\(59\) −2.66341 8.19714i −0.346747 1.06718i −0.960642 0.277790i \(-0.910398\pi\)
0.613895 0.789388i \(-0.289602\pi\)
\(60\) 2.71315 + 2.76384i 0.350266 + 0.356810i
\(61\) 2.77903 8.55298i 0.355818 1.09510i −0.599715 0.800214i \(-0.704719\pi\)
0.955533 0.294883i \(-0.0952806\pi\)
\(62\) −2.70861 + 5.31594i −0.343994 + 0.675126i
\(63\) 1.70111 + 0.975888i 0.214320 + 0.122950i
\(64\) −0.951057 0.309017i −0.118882 0.0386271i
\(65\) −9.70777 + 0.150921i −1.20410 + 0.0187195i
\(66\) 4.38080 + 2.37076i 0.539239 + 0.291820i
\(67\) −2.22497 + 14.0479i −0.271823 + 1.71622i 0.353141 + 0.935570i \(0.385114\pi\)
−0.624964 + 0.780654i \(0.714886\pi\)
\(68\) 4.12066 4.12066i 0.499703 0.499703i
\(69\) 0.218706 1.18918i 0.0263291 0.143161i
\(70\) −1.44003 + 0.251084i −0.172117 + 0.0300103i
\(71\) −7.15246 + 9.84451i −0.848840 + 1.16833i 0.135277 + 0.990808i \(0.456808\pi\)
−0.984117 + 0.177521i \(0.943192\pi\)
\(72\) 2.98269 0.321816i 0.351513 0.0379264i
\(73\) 0.498794 0.254148i 0.0583794 0.0297458i −0.424557 0.905401i \(-0.639570\pi\)
0.482937 + 0.875655i \(0.339570\pi\)
\(74\) −2.17706 −0.253078
\(75\) 8.21940 2.72792i 0.949094 0.314993i
\(76\) 7.28665 0.835837
\(77\) −1.67510 + 0.853507i −0.190896 + 0.0972661i
\(78\) −4.56996 + 5.97273i −0.517446 + 0.676279i
\(79\) 6.00067 8.25922i 0.675128 0.929234i −0.324734 0.945805i \(-0.605275\pi\)
0.999863 + 0.0165708i \(0.00527490\pi\)
\(80\) −1.55637 + 1.60553i −0.174007 + 0.179503i
\(81\) −7.76928 + 4.54294i −0.863253 + 0.504771i
\(82\) 4.71623 4.71623i 0.520820 0.520820i
\(83\) −0.742236 + 4.68629i −0.0814709 + 0.514387i 0.912879 + 0.408231i \(0.133854\pi\)
−0.994349 + 0.106156i \(0.966146\pi\)
\(84\) −0.538901 + 0.995806i −0.0587989 + 0.108651i
\(85\) −4.21885 12.3288i −0.457599 1.33725i
\(86\) −6.84269 2.22332i −0.737866 0.239747i
\(87\) −1.58976 5.33987i −0.170440 0.572494i
\(88\) −1.30562 + 2.56242i −0.139179 + 0.273155i
\(89\) −1.78693 + 5.49959i −0.189414 + 0.582956i −0.999996 0.00266864i \(-0.999151\pi\)
0.810583 + 0.585624i \(0.199151\pi\)
\(90\) 2.28898 6.30560i 0.241279 0.664669i
\(91\) −0.877122 2.69950i −0.0919473 0.282985i
\(92\) 0.689496 + 0.109205i 0.0718849 + 0.0113854i
\(93\) 10.3306 + 0.256256i 1.07124 + 0.0265725i
\(94\) −1.78463 2.45633i −0.184070 0.253351i
\(95\) 7.17051 14.6308i 0.735679 1.50109i
\(96\) 0.228447 + 1.71692i 0.0233158 + 0.175232i
\(97\) 5.26300 0.833578i 0.534377 0.0846370i 0.116587 0.993181i \(-0.462805\pi\)
0.417790 + 0.908544i \(0.362805\pi\)
\(98\) 2.98392 + 5.85628i 0.301422 + 0.591573i
\(99\) 0.427760 8.61700i 0.0429915 0.866042i
\(100\) 1.69216 + 4.70495i 0.169216 + 0.470495i
\(101\) 12.5590i 1.24967i 0.780758 + 0.624833i \(0.214833\pi\)
−0.780758 + 0.624833i \(0.785167\pi\)
\(102\) −9.51920 3.35615i −0.942541 0.332309i
\(103\) −0.958193 6.04979i −0.0944135 0.596104i −0.988851 0.148910i \(-0.952424\pi\)
0.894437 0.447194i \(-0.147576\pi\)
\(104\) −3.51273 2.55215i −0.344451 0.250258i
\(105\) 1.46916 + 2.06199i 0.143375 + 0.201229i
\(106\) 1.82857 1.32854i 0.177607 0.129039i
\(107\) 0.411529 + 0.411529i 0.0397840 + 0.0397840i 0.726719 0.686935i \(-0.241044\pi\)
−0.686935 + 0.726719i \(0.741044\pi\)
\(108\) −2.73330 4.41917i −0.263011 0.425235i
\(109\) −11.0499 + 3.59033i −1.05839 + 0.343891i −0.785955 0.618284i \(-0.787828\pi\)
−0.272433 + 0.962175i \(0.587828\pi\)
\(110\) 3.86025 + 5.14312i 0.368061 + 0.490377i
\(111\) 1.62806 + 3.40121i 0.154528 + 0.322828i
\(112\) −0.582467 0.296782i −0.0550380 0.0280433i
\(113\) −12.6233 6.43189i −1.18750 0.605061i −0.255249 0.966875i \(-0.582158\pi\)
−0.932250 + 0.361814i \(0.882158\pi\)
\(114\) −5.44913 11.3839i −0.510358 1.06620i
\(115\) 0.897778 1.27697i 0.0837182 0.119078i
\(116\) 3.05927 0.994016i 0.284046 0.0922921i
\(117\) 12.7487 + 2.67307i 1.17862 + 0.247126i
\(118\) −6.09455 6.09455i −0.561048 0.561048i
\(119\) 3.08198 2.23919i 0.282525 0.205266i
\(120\) 3.67219 + 1.23086i 0.335224 + 0.112361i
\(121\) −2.20810 1.60428i −0.200736 0.145844i
\(122\) −1.40684 8.88241i −0.127369 0.804176i
\(123\) −10.8950 3.84123i −0.982372 0.346352i
\(124\) 5.96622i 0.535783i
\(125\) 11.1122 + 1.23229i 0.993907 + 0.110220i
\(126\) 1.95874 + 0.0972348i 0.174499 + 0.00866236i
\(127\) 6.58036 + 12.9147i 0.583912 + 1.14599i 0.974282 + 0.225334i \(0.0723474\pi\)
−0.390369 + 0.920658i \(0.627653\pi\)
\(128\) −0.987688 + 0.156434i −0.0873001 + 0.0138270i
\(129\) 1.64364 + 12.3529i 0.144714 + 1.08762i
\(130\) −8.58117 + 4.54171i −0.752618 + 0.398334i
\(131\) 3.23088 + 4.44693i 0.282283 + 0.388530i 0.926489 0.376323i \(-0.122812\pi\)
−0.644205 + 0.764853i \(0.722812\pi\)
\(132\) 4.97962 + 0.123522i 0.433421 + 0.0107512i
\(133\) 4.70477 + 0.745163i 0.407956 + 0.0646138i
\(134\) 4.39515 + 13.5269i 0.379683 + 1.16854i
\(135\) −11.5629 + 1.13942i −0.995180 + 0.0980659i
\(136\) 1.80079 5.54227i 0.154417 0.475246i
\(137\) −9.55034 + 18.7436i −0.815941 + 1.60137i −0.0170834 + 0.999854i \(0.505438\pi\)
−0.798858 + 0.601520i \(0.794562\pi\)
\(138\) −0.345010 1.15886i −0.0293692 0.0986488i
\(139\) 11.0917 + 3.60392i 0.940788 + 0.305681i 0.738967 0.673742i \(-0.235314\pi\)
0.201821 + 0.979422i \(0.435314\pi\)
\(140\) −1.16909 + 0.877479i −0.0988061 + 0.0741605i
\(141\) −2.50292 + 4.62502i −0.210784 + 0.389497i
\(142\) −1.90357 + 12.0187i −0.159744 + 1.00858i
\(143\) −8.82961 + 8.82961i −0.738369 + 0.738369i
\(144\) 2.51149 1.64085i 0.209291 0.136738i
\(145\) 1.01463 7.12084i 0.0842603 0.591354i
\(146\) 0.329048 0.452896i 0.0272322 0.0374819i
\(147\) 6.91778 9.04122i 0.570569 0.745707i
\(148\) −1.93977 + 0.988365i −0.159449 + 0.0812431i
\(149\) 10.0289 0.821602 0.410801 0.911725i \(-0.365249\pi\)
0.410801 + 0.911725i \(0.365249\pi\)
\(150\) 6.08508 6.16212i 0.496845 0.503135i
\(151\) 17.9175 1.45811 0.729054 0.684456i \(-0.239960\pi\)
0.729054 + 0.684456i \(0.239960\pi\)
\(152\) 6.49246 3.30807i 0.526608 0.268320i
\(153\) 1.87538 + 17.3816i 0.151616 + 1.40522i
\(154\) −1.10504 + 1.52096i −0.0890469 + 0.122562i
\(155\) 11.9795 + 5.87113i 0.962218 + 0.471580i
\(156\) −1.36030 + 7.39646i −0.108911 + 0.592191i
\(157\) −6.42991 + 6.42991i −0.513163 + 0.513163i −0.915494 0.402331i \(-0.868200\pi\)
0.402331 + 0.915494i \(0.368200\pi\)
\(158\) 1.59703 10.0833i 0.127053 0.802181i
\(159\) −3.44301 1.86326i −0.273049 0.147766i
\(160\) −0.657842 + 2.13711i −0.0520070 + 0.168953i
\(161\) 0.434019 + 0.141021i 0.0342055 + 0.0111140i
\(162\) −4.86002 + 7.57497i −0.381840 + 0.595146i
\(163\) −4.21139 + 8.26532i −0.329862 + 0.647390i −0.995060 0.0992767i \(-0.968347\pi\)
0.665198 + 0.746667i \(0.268347\pi\)
\(164\) 2.06107 6.34331i 0.160942 0.495329i
\(165\) 5.14827 9.87699i 0.400792 0.768922i
\(166\) 1.46619 + 4.51248i 0.113799 + 0.350237i
\(167\) 5.01819 + 0.794803i 0.388319 + 0.0615037i 0.347542 0.937665i \(-0.387017\pi\)
0.0407774 + 0.999168i \(0.487017\pi\)
\(168\) −0.0280779 + 1.13193i −0.00216626 + 0.0873299i
\(169\) −3.44013 4.73493i −0.264625 0.364226i
\(170\) −9.35618 9.06972i −0.717586 0.695616i
\(171\) −13.7100 + 17.0263i −1.04843 + 1.30203i
\(172\) −7.10625 + 1.12552i −0.541846 + 0.0858200i
\(173\) −8.65954 16.9953i −0.658373 1.29213i −0.942777 0.333425i \(-0.891796\pi\)
0.284404 0.958705i \(-0.408204\pi\)
\(174\) −3.84073 4.03612i −0.291165 0.305978i
\(175\) 0.611428 + 3.21090i 0.0462196 + 0.242721i
\(176\) 2.87587i 0.216777i
\(177\) −4.96383 + 14.0791i −0.373104 + 1.05825i
\(178\) 0.904600 + 5.71142i 0.0678026 + 0.428089i
\(179\) −3.24712 2.35917i −0.242701 0.176332i 0.459785 0.888030i \(-0.347927\pi\)
−0.702486 + 0.711698i \(0.747927\pi\)
\(180\) −0.823191 6.65750i −0.0613570 0.496221i
\(181\) 3.30770 2.40319i 0.245860 0.178628i −0.458030 0.888937i \(-0.651445\pi\)
0.703890 + 0.710309i \(0.251445\pi\)
\(182\) −2.00707 2.00707i −0.148774 0.148774i
\(183\) −12.8249 + 8.84036i −0.948042 + 0.653498i
\(184\) 0.663923 0.215722i 0.0489451 0.0159032i
\(185\) 0.0756718 + 4.86747i 0.00556350 + 0.357863i
\(186\) 9.32099 4.46168i 0.683448 0.327146i
\(187\) −14.9325 7.60848i −1.09197 0.556387i
\(188\) −2.70527 1.37840i −0.197302 0.100530i
\(189\) −1.31288 3.13285i −0.0954983 0.227881i
\(190\) −0.253275 16.2915i −0.0183745 1.18191i
\(191\) 11.5725 3.76012i 0.837354 0.272073i 0.141214 0.989979i \(-0.454899\pi\)
0.696140 + 0.717906i \(0.254899\pi\)
\(192\) 0.983013 + 1.42607i 0.0709428 + 0.102918i
\(193\) −9.01719 9.01719i −0.649071 0.649071i 0.303697 0.952769i \(-0.401779\pi\)
−0.952769 + 0.303697i \(0.901779\pi\)
\(194\) 4.31093 3.13208i 0.309507 0.224870i
\(195\) 13.5127 + 10.0099i 0.967662 + 0.716824i
\(196\) 5.31739 + 3.86331i 0.379813 + 0.275951i
\(197\) −0.0641446 0.404993i −0.00457012 0.0288546i 0.985298 0.170845i \(-0.0546498\pi\)
−0.989868 + 0.141990i \(0.954650\pi\)
\(198\) −3.53090 7.87201i −0.250930 0.559439i
\(199\) 10.9949i 0.779406i −0.920941 0.389703i \(-0.872578\pi\)
0.920941 0.389703i \(-0.127422\pi\)
\(200\) 3.64373 + 3.42392i 0.257651 + 0.242108i
\(201\) 17.8462 16.9822i 1.25877 1.19783i
\(202\) 5.70166 + 11.1901i 0.401168 + 0.787336i
\(203\) 2.07693 0.328953i 0.145772 0.0230880i
\(204\) −10.0053 + 1.33127i −0.700513 + 0.0932076i
\(205\) −10.7085 10.3806i −0.747911 0.725012i
\(206\) −3.60030 4.95539i −0.250845 0.345259i
\(207\) −1.55247 + 1.40563i −0.107904 + 0.0976980i
\(208\) −4.28851 0.679234i −0.297355 0.0470964i
\(209\) −6.47560 19.9298i −0.447927 1.37858i
\(210\) 2.24515 + 1.17026i 0.154930 + 0.0807557i
\(211\) 6.64735 20.4585i 0.457623 1.40842i −0.410406 0.911903i \(-0.634613\pi\)
0.868028 0.496515i \(-0.165387\pi\)
\(212\) 1.02613 2.01389i 0.0704747 0.138314i
\(213\) 20.2002 6.01391i 1.38410 0.412066i
\(214\) 0.553505 + 0.179845i 0.0378368 + 0.0122939i
\(215\) −4.73306 + 15.3761i −0.322792 + 1.04864i
\(216\) −4.44165 2.69662i −0.302216 0.183482i
\(217\) −0.610130 + 3.85221i −0.0414184 + 0.261505i
\(218\) −8.21555 + 8.21555i −0.556427 + 0.556427i
\(219\) −0.953626 0.175384i −0.0644400 0.0118513i
\(220\) 5.77444 + 2.83003i 0.389312 + 0.190801i
\(221\) 14.8726 20.4704i 1.00044 1.37699i
\(222\) 2.99472 + 2.29138i 0.200993 + 0.153787i
\(223\) 5.65554 2.88164i 0.378723 0.192969i −0.254258 0.967137i \(-0.581831\pi\)
0.632981 + 0.774167i \(0.281831\pi\)
\(224\) −0.653718 −0.0436784
\(225\) −14.1776 4.89851i −0.945174 0.326567i
\(226\) −14.1675 −0.942405
\(227\) −12.5844 + 6.41208i −0.835257 + 0.425584i −0.818660 0.574278i \(-0.805283\pi\)
−0.0165960 + 0.999862i \(0.505283\pi\)
\(228\) −10.0234 7.66927i −0.663815 0.507910i
\(229\) −8.94288 + 12.3088i −0.590962 + 0.813389i −0.994844 0.101422i \(-0.967661\pi\)
0.403882 + 0.914811i \(0.367661\pi\)
\(230\) 0.220195 1.54537i 0.0145192 0.101899i
\(231\) 3.20256 + 0.588991i 0.210713 + 0.0387528i
\(232\) 2.27455 2.27455i 0.149332 0.149332i
\(233\) 1.18798 7.50060i 0.0778271 0.491381i −0.917729 0.397208i \(-0.869979\pi\)
0.995556 0.0941731i \(-0.0300207\pi\)
\(234\) 12.5727 3.40606i 0.821904 0.222661i
\(235\) −5.42983 + 4.07545i −0.354203 + 0.265853i
\(236\) −8.19714 2.66341i −0.533589 0.173373i
\(237\) −16.9473 + 5.04547i −1.10085 + 0.327738i
\(238\) 1.72949 3.39432i 0.112106 0.220021i
\(239\) 3.85885 11.8763i 0.249608 0.768215i −0.745236 0.666801i \(-0.767663\pi\)
0.994844 0.101414i \(-0.0323367\pi\)
\(240\) 3.83074 0.570439i 0.247273 0.0368217i
\(241\) 7.01360 + 21.5856i 0.451786 + 1.39045i 0.874868 + 0.484362i \(0.160948\pi\)
−0.423082 + 0.906092i \(0.639052\pi\)
\(242\) −2.69576 0.426966i −0.173290 0.0274464i
\(243\) 15.4688 + 1.92805i 0.992322 + 0.123684i
\(244\) −5.28603 7.27560i −0.338403 0.465772i
\(245\) 12.9897 6.87500i 0.829884 0.439228i
\(246\) −11.4514 + 1.52368i −0.730116 + 0.0971465i
\(247\) 31.2489 4.94934i 1.98832 0.314919i
\(248\) 2.70861 + 5.31594i 0.171997 + 0.337563i
\(249\) 5.95337 5.66517i 0.377279 0.359015i
\(250\) 10.4605 3.94686i 0.661581 0.249621i
\(251\) 8.40399i 0.530455i −0.964186 0.265228i \(-0.914553\pi\)
0.964186 0.265228i \(-0.0854471\pi\)
\(252\) 1.78940 0.802614i 0.112721 0.0505599i
\(253\) −0.314061 1.98290i −0.0197448 0.124664i
\(254\) 11.7263 + 8.51964i 0.735773 + 0.534570i
\(255\) −7.17280 + 21.3997i −0.449178 + 1.34010i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −21.2293 21.2293i −1.32425 1.32425i −0.910303 0.413942i \(-0.864152\pi\)
−0.413942 0.910303i \(-0.635848\pi\)
\(258\) 7.07261 + 10.2604i 0.440321 + 0.638782i
\(259\) −1.35353 + 0.439788i −0.0841042 + 0.0273271i
\(260\) −5.58398 + 7.94246i −0.346304 + 0.492570i
\(261\) −3.43342 + 9.01866i −0.212523 + 0.558241i
\(262\) 4.89760 + 2.49545i 0.302575 + 0.154169i
\(263\) −3.75527 1.91341i −0.231560 0.117986i 0.334361 0.942445i \(-0.391479\pi\)
−0.565921 + 0.824459i \(0.691479\pi\)
\(264\) 4.49296 2.15064i 0.276522 0.132363i
\(265\) −3.03390 4.04214i −0.186371 0.248307i
\(266\) 4.53028 1.47198i 0.277769 0.0902527i
\(267\) 8.24643 5.68438i 0.504673 0.347879i
\(268\) 10.0572 + 10.0572i 0.614340 + 0.614340i
\(269\) −16.4085 + 11.9215i −1.00044 + 0.726865i −0.962183 0.272402i \(-0.912182\pi\)
−0.0382610 + 0.999268i \(0.512182\pi\)
\(270\) −9.78537 + 6.26470i −0.595519 + 0.381258i
\(271\) −5.48031 3.98168i −0.332905 0.241870i 0.408757 0.912643i \(-0.365962\pi\)
−0.741662 + 0.670773i \(0.765962\pi\)
\(272\) −0.911620 5.75574i −0.0552751 0.348993i
\(273\) −1.63470 + 4.63657i −0.0989365 + 0.280618i
\(274\) 21.0364i 1.27086i
\(275\) 11.3648 8.80951i 0.685323 0.531234i
\(276\) −0.833518 0.875921i −0.0501719 0.0527243i
\(277\) −11.1150 21.8145i −0.667837 1.31070i −0.937579 0.347772i \(-0.886938\pi\)
0.269742 0.962933i \(-0.413062\pi\)
\(278\) 11.5189 1.82442i 0.690861 0.109422i
\(279\) −13.9409 11.2256i −0.834620 0.672058i
\(280\) −0.643299 + 1.31260i −0.0384444 + 0.0784426i
\(281\) 11.8968 + 16.3745i 0.709702 + 0.976820i 0.999803 + 0.0198246i \(0.00631077\pi\)
−0.290102 + 0.956996i \(0.593689\pi\)
\(282\) −0.130408 + 5.25722i −0.00776566 + 0.313063i
\(283\) −8.20158 1.29900i −0.487533 0.0772177i −0.0921715 0.995743i \(-0.529381\pi\)
−0.395362 + 0.918525i \(0.629381\pi\)
\(284\) 3.76027 + 11.5729i 0.223131 + 0.686726i
\(285\) −25.2627 + 12.5788i −1.49643 + 0.745106i
\(286\) −3.85868 + 11.8758i −0.228168 + 0.702230i
\(287\) 1.97946 3.88491i 0.116844 0.229319i
\(288\) 1.49283 2.60221i 0.0879656 0.153336i
\(289\) 16.1295 + 5.24081i 0.948797 + 0.308283i
\(290\) −2.32875 6.80535i −0.136749 0.399624i
\(291\) −8.11704 4.39270i −0.475829 0.257505i
\(292\) 0.0875735 0.552918i 0.00512485 0.0323571i
\(293\) 1.20804 1.20804i 0.0705747 0.0705747i −0.670938 0.741513i \(-0.734109\pi\)
0.741513 + 0.670938i \(0.234109\pi\)
\(294\) 2.05916 11.1964i 0.120092 0.652987i
\(295\) −13.4143 + 13.8380i −0.781013 + 0.805680i
\(296\) −1.27964 + 1.76128i −0.0743778 + 0.102372i
\(297\) −9.65789 + 11.4032i −0.560408 + 0.661679i
\(298\) 8.93584 4.55304i 0.517639 0.263750i
\(299\) 3.03109 0.175292
\(300\) 2.62431 8.25306i 0.151514 0.476491i
\(301\) −4.70339 −0.271099
\(302\) 15.9646 8.13439i 0.918661 0.468081i
\(303\) 13.2185 17.2759i 0.759380 0.992475i
\(304\) 4.28299 5.89503i 0.245646 0.338103i
\(305\) −19.8104 + 3.45414i −1.13434 + 0.197784i
\(306\) 9.56205 + 14.6357i 0.546626 + 0.836667i
\(307\) 4.52656 4.52656i 0.258344 0.258344i −0.566036 0.824380i \(-0.691524\pi\)
0.824380 + 0.566036i \(0.191524\pi\)
\(308\) −0.294098 + 1.85686i −0.0167578 + 0.105805i
\(309\) −5.04939 + 9.33049i −0.287250 + 0.530793i
\(310\) 13.3393 0.207378i 0.757620 0.0117783i
\(311\) −32.9364 10.7017i −1.86765 0.606838i −0.992381 0.123210i \(-0.960681\pi\)
−0.875274 0.483628i \(-0.839319\pi\)
\(312\) 2.14589 + 7.20786i 0.121487 + 0.408065i
\(313\) −11.8701 + 23.2965i −0.670940 + 1.31679i 0.264869 + 0.964285i \(0.414671\pi\)
−0.935808 + 0.352509i \(0.885329\pi\)
\(314\) −2.80998 + 8.64821i −0.158576 + 0.488047i
\(315\) 0.149314 4.38273i 0.00841288 0.246939i
\(316\) −3.15474 9.70929i −0.177468 0.546190i
\(317\) 13.4990 + 2.13804i 0.758181 + 0.120084i 0.523544 0.851999i \(-0.324610\pi\)
0.234638 + 0.972083i \(0.424610\pi\)
\(318\) −3.91365 0.0970796i −0.219466 0.00544396i
\(319\) −5.43750 7.48407i −0.304441 0.419028i
\(320\) 0.384087 + 2.20283i 0.0214711 + 0.123142i
\(321\) −0.132954 0.999229i −0.00742075 0.0557715i
\(322\) 0.450736 0.0713896i 0.0251185 0.00397838i
\(323\) 19.2777 + 37.8347i 1.07264 + 2.10518i
\(324\) −0.891349 + 8.95575i −0.0495194 + 0.497542i
\(325\) 10.4526 + 19.0279i 0.579806 + 1.05548i
\(326\) 9.27639i 0.513772i
\(327\) 18.9789 + 6.69132i 1.04953 + 0.370031i
\(328\) −1.04338 6.58764i −0.0576110 0.363741i
\(329\) −1.60575 1.16664i −0.0885278 0.0643192i
\(330\) 0.103084 11.1377i 0.00567460 0.613112i
\(331\) −8.55071 + 6.21245i −0.469989 + 0.341467i −0.797437 0.603402i \(-0.793811\pi\)
0.327448 + 0.944869i \(0.393811\pi\)
\(332\) 3.35501 + 3.35501i 0.184130 + 0.184130i
\(333\) 1.34028 6.39218i 0.0734467 0.350289i
\(334\) 4.83207 1.57004i 0.264399 0.0859085i
\(335\) 30.0906 10.2968i 1.64403 0.562577i
\(336\) 0.488866 + 1.02130i 0.0266698 + 0.0557165i
\(337\) −28.0951 14.3152i −1.53044 0.779796i −0.532652 0.846334i \(-0.678805\pi\)
−0.997784 + 0.0665380i \(0.978805\pi\)
\(338\) −5.21479 2.65707i −0.283647 0.144526i
\(339\) 10.5947 + 22.1337i 0.575428 + 1.20214i
\(340\) −12.4540 3.83357i −0.675412 0.207904i
\(341\) 16.3183 5.30214i 0.883686 0.287127i
\(342\) −4.48593 + 21.3947i −0.242571 + 1.15689i
\(343\) 6.27394 + 6.27394i 0.338761 + 0.338761i
\(344\) −5.82074 + 4.22901i −0.313833 + 0.228013i
\(345\) −2.57899 + 0.811653i −0.138848 + 0.0436979i
\(346\) −15.4314 11.2116i −0.829598 0.602738i
\(347\) 2.04407 + 12.9057i 0.109731 + 0.692816i 0.979814 + 0.199911i \(0.0640652\pi\)
−0.870083 + 0.492905i \(0.835935\pi\)
\(348\) −5.25448 1.85256i −0.281670 0.0993074i
\(349\) 30.4326i 1.62902i −0.580151 0.814509i \(-0.697007\pi\)
0.580151 0.814509i \(-0.302993\pi\)
\(350\) 2.00250 + 2.58335i 0.107038 + 0.138086i
\(351\) −14.7234 17.0951i −0.785878 0.912471i
\(352\) 1.30562 + 2.56242i 0.0695897 + 0.136577i
\(353\) 2.87776 0.455793i 0.153168 0.0242594i −0.0793796 0.996844i \(-0.525294\pi\)
0.232547 + 0.972585i \(0.425294\pi\)
\(354\) 1.96898 + 14.7981i 0.104650 + 0.786511i
\(355\) 26.9375 + 3.83825i 1.42969 + 0.203713i
\(356\) 3.39893 + 4.67823i 0.180143 + 0.247946i
\(357\) −6.59628 0.163624i −0.349112 0.00865988i
\(358\) −3.96424 0.627874i −0.209517 0.0331842i
\(359\) 2.44510 + 7.52523i 0.129047 + 0.397167i 0.994617 0.103622i \(-0.0330433\pi\)
−0.865569 + 0.500789i \(0.833043\pi\)
\(360\) −3.75591 5.55816i −0.197954 0.292941i
\(361\) −10.5360 + 32.4266i −0.554528 + 1.70666i
\(362\) 1.85616 3.64292i 0.0975577 0.191468i
\(363\) 1.34890 + 4.53086i 0.0707991 + 0.237809i
\(364\) −2.69950 0.877122i −0.141492 0.0459737i
\(365\) −1.02402 0.719943i −0.0535997 0.0376835i
\(366\) −7.41360 + 13.6992i −0.387515 + 0.716068i
\(367\) 3.44380 21.7433i 0.179765 1.13499i −0.718497 0.695530i \(-0.755170\pi\)
0.898262 0.439460i \(-0.144830\pi\)
\(368\) 0.493624 0.493624i 0.0257319 0.0257319i
\(369\) 10.9441 + 16.7510i 0.569726 + 0.872024i
\(370\) 2.27721 + 4.30259i 0.118386 + 0.223681i
\(371\) 0.868488 1.19537i 0.0450897 0.0620606i
\(372\) 6.27950 8.20703i 0.325577 0.425515i
\(373\) 19.0344 9.69853i 0.985566 0.502171i 0.114545 0.993418i \(-0.463459\pi\)
0.871020 + 0.491247i \(0.163459\pi\)
\(374\) −16.7591 −0.866593
\(375\) −13.9888 13.3908i −0.722377 0.691500i
\(376\) −3.03619 −0.156580
\(377\) 12.4445 6.34081i 0.640926 0.326568i
\(378\) −2.59207 2.19535i −0.133322 0.112917i
\(379\) −0.581554 + 0.800441i −0.0298724 + 0.0411159i −0.823692 0.567038i \(-0.808089\pi\)
0.793820 + 0.608153i \(0.208089\pi\)
\(380\) −7.62185 14.4008i −0.390993 0.738747i
\(381\) 4.54100 24.6911i 0.232642 1.26496i
\(382\) 8.60408 8.60408i 0.440223 0.440223i
\(383\) 1.97847 12.4916i 0.101095 0.638289i −0.884158 0.467187i \(-0.845267\pi\)
0.985253 0.171102i \(-0.0547326\pi\)
\(384\) 1.52329 + 0.824362i 0.0777353 + 0.0420681i
\(385\) 3.43897 + 2.41778i 0.175266 + 0.123222i
\(386\) −12.1281 3.94066i −0.617304 0.200574i
\(387\) 10.7406 18.7224i 0.545976 0.951714i
\(388\) 2.41914 4.74782i 0.122813 0.241034i
\(389\) −8.45598 + 26.0248i −0.428735 + 1.31951i 0.470636 + 0.882327i \(0.344024\pi\)
−0.899372 + 0.437185i \(0.855976\pi\)
\(390\) 16.5843 + 2.78427i 0.839778 + 0.140987i
\(391\) 1.25712 + 3.86900i 0.0635751 + 0.195664i
\(392\) 6.49173 + 1.02819i 0.327882 + 0.0519314i
\(393\) 0.236089 9.51764i 0.0119091 0.480102i
\(394\) −0.241016 0.331731i −0.0121422 0.0167123i
\(395\) −22.5996 3.22016i −1.13711 0.162024i
\(396\) −6.71987 5.41101i −0.337686 0.271914i
\(397\) 3.51235 0.556301i 0.176280 0.0279199i −0.0676706 0.997708i \(-0.521557\pi\)
0.243950 + 0.969788i \(0.421557\pi\)
\(398\) −4.99157 9.79650i −0.250205 0.491054i
\(399\) −5.68751 5.97685i −0.284732 0.299217i
\(400\) 4.80101 + 1.39652i 0.240051 + 0.0698259i
\(401\) 16.6499i 0.831458i 0.909489 + 0.415729i \(0.136473\pi\)
−0.909489 + 0.415729i \(0.863527\pi\)
\(402\) 8.19128 23.2333i 0.408544 1.15877i
\(403\) 4.05246 + 25.5862i 0.201867 + 1.27454i
\(404\) 10.1604 + 7.38199i 0.505501 + 0.367268i
\(405\) 17.1050 + 10.6027i 0.849956 + 0.526854i
\(406\) 1.70122 1.23601i 0.0844299 0.0613419i
\(407\) 4.42716 + 4.42716i 0.219446 + 0.219446i
\(408\) −8.31043 + 5.72849i −0.411427 + 0.283603i
\(409\) −4.09420 + 1.33029i −0.202445 + 0.0657784i −0.408484 0.912765i \(-0.633943\pi\)
0.206039 + 0.978544i \(0.433943\pi\)
\(410\) −14.2540 4.38764i −0.703955 0.216690i
\(411\) 32.8651 15.7315i 1.62112 0.775979i
\(412\) −5.45760 2.78078i −0.268876 0.136999i
\(413\) −5.02028 2.55796i −0.247032 0.125869i
\(414\) −0.745122 + 1.95723i −0.0366207 + 0.0961928i
\(415\) 10.0380 3.43496i 0.492748 0.168616i
\(416\) −4.12946 + 1.34174i −0.202463 + 0.0657843i
\(417\) −11.4644 16.6316i −0.561415 0.814454i
\(418\) −14.8178 14.8178i −0.724761 0.724761i
\(419\) −5.84455 + 4.24631i −0.285525 + 0.207446i −0.721324 0.692598i \(-0.756466\pi\)
0.435799 + 0.900044i \(0.356466\pi\)
\(420\) 2.53173 + 0.0234322i 0.123536 + 0.00114338i
\(421\) −11.7630 8.54631i −0.573293 0.416521i 0.263007 0.964794i \(-0.415286\pi\)
−0.836300 + 0.548272i \(0.815286\pi\)
\(422\) −3.36511 21.2464i −0.163811 1.03426i
\(423\) 8.31084 3.72774i 0.404087 0.181249i
\(424\) 2.26024i 0.109767i
\(425\) −19.9529 + 21.2338i −0.967856 + 1.02999i
\(426\) 15.2683 14.5291i 0.739750 0.703939i
\(427\) −2.66900 5.23821i −0.129162 0.253495i
\(428\) 0.574824 0.0910432i 0.0277852 0.00440074i
\(429\) 21.4391 2.85260i 1.03509 0.137725i
\(430\) 2.76344 + 15.8490i 0.133265 + 0.764307i
\(431\) −2.43967 3.35792i −0.117515 0.161745i 0.746207 0.665714i \(-0.231873\pi\)
−0.863722 + 0.503968i \(0.831873\pi\)
\(432\) −5.18178 0.386242i −0.249308 0.0185831i
\(433\) 28.8682 + 4.57227i 1.38732 + 0.219729i 0.805020 0.593248i \(-0.202154\pi\)
0.582296 + 0.812977i \(0.302154\pi\)
\(434\) 1.20524 + 3.70934i 0.0578532 + 0.178054i
\(435\) −8.89046 + 8.72740i −0.426265 + 0.418447i
\(436\) −3.59033 + 11.0499i −0.171945 + 0.529194i
\(437\) −2.30933 + 4.53232i −0.110470 + 0.216810i
\(438\) −0.929309 + 0.276669i −0.0444041 + 0.0132198i
\(439\) 10.7432 + 3.49067i 0.512744 + 0.166601i 0.553950 0.832550i \(-0.313120\pi\)
−0.0412056 + 0.999151i \(0.513120\pi\)
\(440\) 6.42987 0.0999616i 0.306532 0.00476548i
\(441\) −19.0319 + 5.15592i −0.906282 + 0.245520i
\(442\) 3.95823 24.9913i 0.188274 1.18871i
\(443\) −12.3286 + 12.3286i −0.585749 + 0.585749i −0.936477 0.350728i \(-0.885934\pi\)
0.350728 + 0.936477i \(0.385934\pi\)
\(444\) 3.70858 + 0.682054i 0.176001 + 0.0323689i
\(445\) 12.7381 2.22102i 0.603846 0.105287i
\(446\) 3.73089 5.13513i 0.176663 0.243155i
\(447\) −13.7956 10.5555i −0.652510 0.499260i
\(448\) −0.582467 + 0.296782i −0.0275190 + 0.0140216i
\(449\) −11.4060 −0.538284 −0.269142 0.963101i \(-0.586740\pi\)
−0.269142 + 0.963101i \(0.586740\pi\)
\(450\) −14.8562 + 2.07189i −0.700329 + 0.0976700i
\(451\) −19.1813 −0.903214
\(452\) −12.6233 + 6.43189i −0.593750 + 0.302531i
\(453\) −24.6470 18.8584i −1.15802 0.886043i
\(454\) −8.30177 + 11.4264i −0.389621 + 0.536268i
\(455\) −4.41764 + 4.55717i −0.207102 + 0.213643i
\(456\) −12.4127 2.28285i −0.581277 0.106904i
\(457\) −4.54539 + 4.54539i −0.212624 + 0.212624i −0.805381 0.592757i \(-0.798039\pi\)
0.592757 + 0.805381i \(0.298039\pi\)
\(458\) −2.38008 + 15.0272i −0.111214 + 0.702176i
\(459\) 15.7145 25.8836i 0.733492 1.20814i
\(460\) −0.505387 1.47690i −0.0235638 0.0688608i
\(461\) −18.3653 5.96726i −0.855359 0.277923i −0.151670 0.988431i \(-0.548465\pi\)
−0.703689 + 0.710508i \(0.748465\pi\)
\(462\) 3.12090 0.929138i 0.145197 0.0432274i
\(463\) 2.03171 3.98746i 0.0944216 0.185313i −0.838965 0.544186i \(-0.816839\pi\)
0.933387 + 0.358873i \(0.116839\pi\)
\(464\) 0.994016 3.05927i 0.0461460 0.142023i
\(465\) −10.2994 20.6848i −0.477623 0.959233i
\(466\) −2.34671 7.22242i −0.108709 0.334572i
\(467\) −1.74215 0.275929i −0.0806170 0.0127685i 0.115996 0.993250i \(-0.462994\pi\)
−0.196613 + 0.980481i \(0.562994\pi\)
\(468\) 9.65605 8.74271i 0.446351 0.404132i
\(469\) 5.46513 + 7.52211i 0.252356 + 0.347339i
\(470\) −2.98780 + 6.09634i −0.137817 + 0.281203i
\(471\) 15.6124 2.07733i 0.719382 0.0957183i
\(472\) −8.51287 + 1.34831i −0.391837 + 0.0620609i
\(473\) 9.39370 + 18.4362i 0.431923 + 0.847696i
\(474\) −12.8096 + 12.1895i −0.588363 + 0.559881i
\(475\) −36.4157 + 1.13254i −1.67087 + 0.0519646i
\(476\) 3.80954i 0.174610i
\(477\) 2.77505 + 6.18686i 0.127061 + 0.283277i
\(478\) −1.95347 12.3338i −0.0893498 0.564133i
\(479\) −13.7743 10.0076i −0.629363 0.457259i 0.226817 0.973937i \(-0.427168\pi\)
−0.856179 + 0.516679i \(0.827168\pi\)
\(480\) 3.15424 2.24739i 0.143971 0.102579i
\(481\) −7.64742 + 5.55617i −0.348692 + 0.253340i
\(482\) 16.0488 + 16.0488i 0.731005 + 0.731005i
\(483\) −0.448602 0.650795i −0.0204121 0.0296122i
\(484\) −2.59578 + 0.843419i −0.117990 + 0.0383372i
\(485\) −7.15253 9.52951i −0.324780 0.432713i
\(486\) 14.6581 5.30477i 0.664904 0.240629i
\(487\) 25.0891 + 12.7835i 1.13690 + 0.579277i 0.918043 0.396481i \(-0.129769\pi\)
0.218852 + 0.975758i \(0.429769\pi\)
\(488\) −8.01294 4.08280i −0.362729 0.184820i
\(489\) 14.4924 6.93710i 0.655371 0.313706i
\(490\) 8.45275 12.0229i 0.381856 0.543139i
\(491\) −8.69557 + 2.82536i −0.392426 + 0.127507i −0.498582 0.866843i \(-0.666146\pi\)
0.106156 + 0.994349i \(0.466146\pi\)
\(492\) −9.51156 + 6.55645i −0.428814 + 0.295588i
\(493\) 13.2549 + 13.2549i 0.596972 + 0.596972i
\(494\) 25.5960 18.5966i 1.15162 0.836701i
\(495\) −17.4775 + 8.16800i −0.785555 + 0.367124i
\(496\) 4.82678 + 3.50686i 0.216729 + 0.157463i
\(497\) 1.24440 + 7.85683i 0.0558189 + 0.352427i
\(498\) 2.73256 7.75047i 0.122449 0.347307i
\(499\) 12.9235i 0.578536i 0.957248 + 0.289268i \(0.0934119\pi\)
−0.957248 + 0.289268i \(0.906588\pi\)
\(500\) 7.52855 8.26565i 0.336687 0.369651i
\(501\) −6.06639 6.37500i −0.271026 0.284814i
\(502\) −3.81533 7.48801i −0.170287 0.334206i
\(503\) 22.2567 3.52512i 0.992379 0.157177i 0.360928 0.932594i \(-0.382460\pi\)
0.631450 + 0.775416i \(0.282460\pi\)
\(504\) 1.22999 1.52750i 0.0547879 0.0680404i
\(505\) 24.8207 13.1367i 1.10451 0.584576i
\(506\) −1.18005 1.62420i −0.0524595 0.0722044i
\(507\) −0.251380 + 10.1341i −0.0111642 + 0.450069i
\(508\) 14.3160 + 2.26744i 0.635171 + 0.100601i
\(509\) 1.15005 + 3.53949i 0.0509750 + 0.156885i 0.973304 0.229522i \(-0.0737162\pi\)
−0.922329 + 0.386407i \(0.873716\pi\)
\(510\) 3.32423 + 22.3236i 0.147199 + 0.988506i
\(511\) 0.113087 0.348047i 0.00500268 0.0153967i
\(512\) −0.453990 + 0.891007i −0.0200637 + 0.0393773i
\(513\) 36.7795 8.99114i 1.62386 0.396969i
\(514\) −28.5533 9.27753i −1.25943 0.409214i
\(515\) −10.9541 + 8.22179i −0.482696 + 0.362296i
\(516\) 10.9598 + 5.93114i 0.482480 + 0.261104i
\(517\) −1.36594 + 8.62420i −0.0600739 + 0.379292i
\(518\) −1.00634 + 1.00634i −0.0442162 + 0.0442162i
\(519\) −5.97581 + 32.4927i −0.262309 + 1.42627i
\(520\) −1.36957 + 9.61186i −0.0600594 + 0.421508i
\(521\) 25.0327 34.4546i 1.09670 1.50948i 0.257021 0.966406i \(-0.417259\pi\)
0.839683 0.543077i \(-0.182741\pi\)
\(522\) 1.03519 + 9.59442i 0.0453089 + 0.419937i
\(523\) −19.8847 + 10.1317i −0.869495 + 0.443030i −0.831028 0.556230i \(-0.812247\pi\)
−0.0384667 + 0.999260i \(0.512247\pi\)
\(524\) 5.49670 0.240125
\(525\) 2.53843 5.06038i 0.110786 0.220853i
\(526\) −4.21464 −0.183767
\(527\) −30.9786 + 15.7844i −1.34945 + 0.687579i
\(528\) 3.02688 3.95600i 0.131728 0.172163i
\(529\) 13.2326 18.2131i 0.575331 0.791875i
\(530\) −4.53831 2.22421i −0.197132 0.0966136i
\(531\) 21.6465 14.1425i 0.939380 0.613732i
\(532\) 3.36825 3.36825i 0.146032 0.146032i
\(533\) 4.53032 28.6033i 0.196230 1.23895i
\(534\) 4.76697 8.80862i 0.206287 0.381186i
\(535\) 0.382857 1.24378i 0.0165524 0.0537731i
\(536\) 13.5269 + 4.39515i 0.584272 + 0.189842i
\(537\) 1.98363 + 6.66285i 0.0855999 + 0.287523i
\(538\) −9.20785 + 18.0714i −0.396979 + 0.779114i
\(539\) 5.84107 17.9770i 0.251593 0.774323i
\(540\) −5.87472 + 10.0244i −0.252808 + 0.431380i
\(541\) 0.576378 + 1.77391i 0.0247804 + 0.0762663i 0.962682 0.270635i \(-0.0872338\pi\)
−0.937902 + 0.346902i \(0.887234\pi\)
\(542\) −6.69064 1.05969i −0.287387 0.0455177i
\(543\) −7.07940 0.175607i −0.303806 0.00753604i
\(544\) −3.42531 4.71454i −0.146859 0.202134i
\(545\) 18.6539 + 18.0827i 0.799044 + 0.774580i
\(546\) 0.648429 + 4.87335i 0.0277502 + 0.208560i
\(547\) −24.0199 + 3.80438i −1.02702 + 0.162663i −0.647138 0.762373i \(-0.724034\pi\)
−0.379878 + 0.925036i \(0.624034\pi\)
\(548\) 9.55034 + 18.7436i 0.407970 + 0.800687i
\(549\) 26.9462 + 1.33765i 1.15004 + 0.0570894i
\(550\) 6.12667 13.0088i 0.261242 0.554699i
\(551\) 23.4390i 0.998535i
\(552\) −1.14033 0.402042i −0.0485357 0.0171121i
\(553\) −1.04401 6.59162i −0.0443958 0.280304i
\(554\) −19.8071 14.3907i −0.841524 0.611403i
\(555\) 5.01896 6.77524i 0.213043 0.287593i
\(556\) 9.43519 6.85506i 0.400141 0.290720i
\(557\) 18.2820 + 18.2820i 0.774632 + 0.774632i 0.978912 0.204281i \(-0.0654855\pi\)
−0.204281 + 0.978912i \(0.565485\pi\)
\(558\) −17.5177 3.67302i −0.741585 0.155491i
\(559\) −29.7107 + 9.65360i −1.25663 + 0.408304i
\(560\) 0.0227224 + 1.46158i 0.000960197 + 0.0617631i
\(561\) 12.5328 + 26.1826i 0.529137 + 1.10543i
\(562\) 18.0340 + 9.18876i 0.760717 + 0.387604i
\(563\) −0.869364 0.442963i −0.0366393 0.0186687i 0.435575 0.900153i \(-0.356545\pi\)
−0.472214 + 0.881484i \(0.656545\pi\)
\(564\) 2.27053 + 4.74342i 0.0956068 + 0.199734i
\(565\) 0.492442 + 31.6756i 0.0207172 + 1.33260i
\(566\) −7.89740 + 2.56602i −0.331952 + 0.107858i
\(567\) −1.49137 + 5.69131i −0.0626316 + 0.239012i
\(568\) 8.60442 + 8.60442i 0.361033 + 0.361033i
\(569\) 22.6112 16.4280i 0.947909 0.688696i −0.00240243 0.999997i \(-0.500765\pi\)
0.950311 + 0.311301i \(0.100765\pi\)
\(570\) −16.7985 + 22.6768i −0.703613 + 0.949828i
\(571\) −4.29121 3.11775i −0.179582 0.130474i 0.494363 0.869256i \(-0.335401\pi\)
−0.673945 + 0.738782i \(0.735401\pi\)
\(572\) 1.95339 + 12.3332i 0.0816753 + 0.515678i
\(573\) −19.8764 7.00776i −0.830349 0.292754i
\(574\) 4.36014i 0.181989i
\(575\) −3.46278 0.438597i −0.144408 0.0182908i
\(576\) 0.148741 2.99631i 0.00619754 0.124846i
\(577\) −3.71857 7.29810i −0.154806 0.303824i 0.800558 0.599255i \(-0.204537\pi\)
−0.955364 + 0.295432i \(0.904537\pi\)
\(578\) 16.7508 2.65307i 0.696742 0.110353i
\(579\) 2.91321 + 21.8946i 0.121069 + 0.909907i
\(580\) −5.16450 5.00638i −0.214444 0.207879i
\(581\) 1.82313 + 2.50933i 0.0756364 + 0.104105i
\(582\) −9.22658 0.228869i −0.382454 0.00948694i
\(583\) −6.42013 1.01685i −0.265895 0.0421136i
\(584\) −0.172991 0.532411i −0.00715841 0.0220313i
\(585\) −8.05227 27.9917i −0.332920 1.15731i
\(586\) 0.527935 1.62482i 0.0218088 0.0671205i
\(587\) 15.9900 31.3821i 0.659978 1.29528i −0.281939 0.959432i \(-0.590977\pi\)
0.941917 0.335847i \(-0.109023\pi\)
\(588\) −3.24833 10.9109i −0.133959 0.449958i
\(589\) −41.3460 13.4341i −1.70363 0.553544i
\(590\) −5.66993 + 18.4197i −0.233427 + 0.758329i
\(591\) −0.338023 + 0.624614i −0.0139044 + 0.0256932i
\(592\) −0.340567 + 2.15026i −0.0139972 + 0.0883750i
\(593\) 2.52481 2.52481i 0.103681 0.103681i −0.653363 0.757045i \(-0.726643\pi\)
0.757045 + 0.653363i \(0.226643\pi\)
\(594\) −3.42831 + 14.5449i −0.140665 + 0.596784i
\(595\) −7.64913 3.74881i −0.313584 0.153686i
\(596\) 5.89486 8.11358i 0.241463 0.332345i
\(597\) −11.5722 + 15.1243i −0.473619 + 0.618998i
\(598\) 2.70072 1.37608i 0.110441 0.0562723i
\(599\) 39.4333 1.61120 0.805600 0.592460i \(-0.201843\pi\)
0.805600 + 0.592460i \(0.201843\pi\)
\(600\) −1.40854 8.54494i −0.0575033 0.348846i
\(601\) 28.0191 1.14292 0.571462 0.820629i \(-0.306376\pi\)
0.571462 + 0.820629i \(0.306376\pi\)
\(602\) −4.19075 + 2.13529i −0.170802 + 0.0870281i
\(603\) −42.4228 + 4.57720i −1.72759 + 0.186398i
\(604\) 10.5317 14.4956i 0.428527 0.589817i
\(605\) −0.860909 + 6.04201i −0.0350009 + 0.245643i
\(606\) 3.93462 21.3940i 0.159833 0.869072i
\(607\) −3.59236 + 3.59236i −0.145809 + 0.145809i −0.776243 0.630434i \(-0.782877\pi\)
0.630434 + 0.776243i \(0.282877\pi\)
\(608\) 1.13988 7.19694i 0.0462284 0.291875i
\(609\) −3.20321 1.73348i −0.129801 0.0702443i
\(610\) −16.0830 + 12.0714i −0.651183 + 0.488756i
\(611\) −12.5378 4.07379i −0.507226 0.164808i
\(612\) 15.1643 + 8.69942i 0.612981 + 0.351653i
\(613\) 6.96688 13.6733i 0.281390 0.552258i −0.706445 0.707768i \(-0.749702\pi\)
0.987834 + 0.155510i \(0.0497021\pi\)
\(614\) 1.97818 6.08821i 0.0798328 0.245700i
\(615\) 3.80469 + 25.5501i 0.153420 + 1.03028i
\(616\) 0.580955 + 1.78800i 0.0234074 + 0.0720404i
\(617\) −7.10625 1.12552i −0.286087 0.0453117i 0.0117417 0.999931i \(-0.496262\pi\)
−0.297829 + 0.954619i \(0.596262\pi\)
\(618\) −0.263084 + 10.6059i −0.0105828 + 0.426632i
\(619\) −7.42133 10.2146i −0.298288 0.410559i 0.633396 0.773828i \(-0.281661\pi\)
−0.931684 + 0.363269i \(0.881661\pi\)
\(620\) 11.7912 6.24068i 0.473547 0.250632i
\(621\) 3.61499 0.299565i 0.145065 0.0120211i
\(622\) −34.2051 + 5.41755i −1.37150 + 0.217224i
\(623\) 1.71618 + 3.36818i 0.0687571 + 0.134943i
\(624\) 5.18430 + 5.44804i 0.207538 + 0.218096i
\(625\) −9.18798 23.2504i −0.367519 0.930016i
\(626\) 26.1462i 1.04501i
\(627\) −12.0686 + 34.2308i −0.481975 + 1.36704i
\(628\) 1.42250 + 8.98132i 0.0567640 + 0.358394i
\(629\) −10.2638 7.45711i −0.409246 0.297334i
\(630\) −1.85668 3.97283i −0.0739719 0.158281i
\(631\) −2.09574 + 1.52265i −0.0834301 + 0.0606155i −0.628718 0.777633i \(-0.716420\pi\)
0.545288 + 0.838249i \(0.316420\pi\)
\(632\) −7.21882 7.21882i −0.287149 0.287149i
\(633\) −30.6767 + 21.1459i −1.21929 + 0.840473i
\(634\) 12.9984 4.22343i 0.516231 0.167734i
\(635\) 18.6406 26.5137i 0.739730 1.05217i
\(636\) −3.53116 + 1.69026i −0.140019 + 0.0670231i
\(637\) 25.4278 + 12.9561i 1.00748 + 0.513339i
\(638\) −8.24255 4.19979i −0.326326 0.166271i
\(639\) −34.1167 12.9883i −1.34964 0.513809i
\(640\) 1.34229 + 1.78837i 0.0530586 + 0.0706914i
\(641\) 3.49095 1.13428i 0.137884 0.0448012i −0.239262 0.970955i \(-0.576905\pi\)
0.377146 + 0.926154i \(0.376905\pi\)
\(642\) −0.572103 0.829960i −0.0225791 0.0327559i
\(643\) 9.94703 + 9.94703i 0.392273 + 0.392273i 0.875497 0.483224i \(-0.160534\pi\)
−0.483224 + 0.875497i \(0.660534\pi\)
\(644\) 0.369198 0.268238i 0.0145485 0.0105701i
\(645\) 22.6942 16.1696i 0.893585 0.636675i
\(646\) 34.3532 + 24.9591i 1.35161 + 0.982001i
\(647\) 0.617590 + 3.89931i 0.0242800 + 0.153298i 0.996850 0.0793138i \(-0.0252729\pi\)
−0.972570 + 0.232612i \(0.925273\pi\)
\(648\) 3.27163 + 8.38430i 0.128522 + 0.329366i
\(649\) 24.7871i 0.972979i
\(650\) 17.9518 + 12.2086i 0.704128 + 0.478860i
\(651\) 4.89377 4.65686i 0.191802 0.182517i
\(652\) 4.21139 + 8.26532i 0.164931 + 0.323695i
\(653\) −14.3859 + 2.27850i −0.562962 + 0.0891644i −0.431428 0.902147i \(-0.641990\pi\)
−0.131534 + 0.991312i \(0.541990\pi\)
\(654\) 19.9481 2.65422i 0.780033 0.103788i
\(655\) 5.40909 11.0368i 0.211351 0.431243i
\(656\) −3.92038 5.39594i −0.153065 0.210676i
\(657\) 1.12720 + 1.24495i 0.0439761 + 0.0485703i
\(658\) −1.96038 0.310493i −0.0764235 0.0121043i
\(659\) −4.21526 12.9732i −0.164203 0.505365i 0.834774 0.550593i \(-0.185598\pi\)
−0.998977 + 0.0452283i \(0.985598\pi\)
\(660\) −4.96457 9.97059i −0.193246 0.388105i
\(661\) −2.48143 + 7.63705i −0.0965164 + 0.297047i −0.987646 0.156702i \(-0.949914\pi\)
0.891130 + 0.453749i \(0.149914\pi\)
\(662\) −4.79834 + 9.41728i −0.186493 + 0.366013i
\(663\) −42.0037 + 12.5051i −1.63129 + 0.485659i
\(664\) 4.51248 + 1.46619i 0.175118 + 0.0568994i
\(665\) −3.44851 10.0776i −0.133728 0.390794i
\(666\) −1.70779 6.30395i −0.0661757 0.244273i
\(667\) −0.351281 + 2.21790i −0.0136017 + 0.0858775i
\(668\) 3.59263 3.59263i 0.139003 0.139003i
\(669\) −10.8126 1.98857i −0.418040 0.0768828i
\(670\) 22.1363 22.8354i 0.855198 0.882209i
\(671\) −15.2019 + 20.9237i −0.586865 + 0.807750i
\(672\) 0.899243 + 0.688045i 0.0346891 + 0.0265419i
\(673\) −24.0809 + 12.2698i −0.928251 + 0.472967i −0.851660 0.524095i \(-0.824404\pi\)
−0.0765912 + 0.997063i \(0.524404\pi\)
\(674\) −31.5318 −1.21456
\(675\) 14.3467 + 21.6604i 0.552206 + 0.833708i
\(676\) −5.85270 −0.225104
\(677\) 16.4613 8.38747i 0.632660 0.322357i −0.108086 0.994142i \(-0.534472\pi\)
0.740746 + 0.671785i \(0.234472\pi\)
\(678\) 19.4885 + 14.9114i 0.748451 + 0.572668i
\(679\) 2.04750 2.81814i 0.0785757 0.108150i
\(680\) −12.8370 + 2.23826i −0.492276 + 0.0858333i
\(681\) 24.0596 + 4.42487i 0.921968 + 0.169561i
\(682\) 12.1326 12.1326i 0.464581 0.464581i
\(683\) 5.94046 37.5066i 0.227305 1.43515i −0.565033 0.825068i \(-0.691137\pi\)
0.792338 0.610082i \(-0.208863\pi\)
\(684\) 5.71601 + 21.0994i 0.218557 + 0.806756i
\(685\) 47.0332 0.731199i 1.79705 0.0279377i
\(686\) 8.43843 + 2.74181i 0.322181 + 0.104683i
\(687\) 25.2568 7.51932i 0.963607 0.286880i
\(688\) −3.26638 + 6.41064i −0.124530 + 0.244403i
\(689\) 3.03266 9.33356i 0.115535 0.355580i
\(690\) −1.92941 + 1.89402i −0.0734514 + 0.0721042i
\(691\) −2.65184 8.16151i −0.100881 0.310479i 0.887861 0.460112i \(-0.152191\pi\)
−0.988742 + 0.149633i \(0.952191\pi\)
\(692\) −18.8394 2.98388i −0.716168 0.113430i
\(693\) −3.78547 4.18093i −0.143798 0.158820i
\(694\) 7.68036 + 10.5711i 0.291542 + 0.401274i
\(695\) −4.47942 25.6906i −0.169914 0.974501i
\(696\) −5.52282 + 0.734846i −0.209342 + 0.0278543i
\(697\) 38.3894 6.08028i 1.45410 0.230307i
\(698\) −13.8161 27.1156i −0.522947 1.02634i
\(699\) −9.52861 + 9.06733i −0.360405 + 0.342958i
\(700\) 2.95706 + 1.39266i 0.111766 + 0.0526377i
\(701\) 52.4507i 1.98104i 0.137384 + 0.990518i \(0.456131\pi\)
−0.137384 + 0.990518i \(0.543869\pi\)
\(702\) −20.8797 8.54758i −0.788053 0.322608i
\(703\) −2.48160 15.6682i −0.0935951 0.590937i
\(704\) 2.32663 + 1.69040i 0.0876881 + 0.0637092i
\(705\) 11.7586 + 0.108831i 0.442855 + 0.00409881i
\(706\) 2.35718 1.71259i 0.0887136 0.0644542i
\(707\) 5.80538 + 5.80538i 0.218334 + 0.218334i
\(708\) 8.47258 + 12.2913i 0.318419 + 0.461936i
\(709\) 5.89184 1.91438i 0.221273 0.0718959i −0.196283 0.980547i \(-0.562887\pi\)
0.417555 + 0.908652i \(0.362887\pi\)
\(710\) 25.7440 8.80946i 0.966155 0.330613i
\(711\) 28.6228 + 10.8967i 1.07344 + 0.408660i
\(712\) 5.15235 + 2.62525i 0.193092 + 0.0983855i
\(713\) −3.71101 1.89085i −0.138978 0.0708130i
\(714\) −5.95161 + 2.84886i −0.222734 + 0.106616i
\(715\) 26.6860 + 8.21444i 0.998000 + 0.307203i
\(716\) −3.81721 + 1.24029i −0.142656 + 0.0463517i
\(717\) −17.8081 + 12.2754i −0.665055 + 0.458432i
\(718\) 5.59498 + 5.59498i 0.208803 + 0.208803i
\(719\) 3.26095 2.36922i 0.121613 0.0883570i −0.525316 0.850907i \(-0.676053\pi\)
0.646929 + 0.762550i \(0.276053\pi\)
\(720\) −5.86989 3.24721i −0.218758 0.121016i
\(721\) −3.23943 2.35359i −0.120643 0.0876521i
\(722\) 5.33368 + 33.6756i 0.198499 + 1.25327i
\(723\) 13.0713 37.0747i 0.486127 1.37882i
\(724\) 4.08855i 0.151950i
\(725\) −15.1344 + 5.44317i −0.562079 + 0.202154i
\(726\) 3.25885 + 3.42464i 0.120947 + 0.127100i
\(727\) −13.8279 27.1388i −0.512850 1.00652i −0.991693 0.128624i \(-0.958944\pi\)
0.478844 0.877900i \(-0.341056\pi\)
\(728\) −2.80348 + 0.444028i −0.103904 + 0.0164568i
\(729\) −19.2493 18.9332i −0.712936 0.701229i
\(730\) −1.23926 0.176578i −0.0458669 0.00653545i
\(731\) −24.6445 33.9203i −0.911510 1.25459i
\(732\) −0.386264 + 15.5718i −0.0142767 + 0.575549i
\(733\) −13.6402 2.16039i −0.503812 0.0797960i −0.100645 0.994922i \(-0.532091\pi\)
−0.403167 + 0.915126i \(0.632091\pi\)
\(734\) −6.80279 20.9368i −0.251096 0.772793i
\(735\) −25.1044 4.21468i −0.925991 0.155461i
\(736\) 0.215722 0.663923i 0.00795161 0.0244725i
\(737\) 18.5698 36.4453i 0.684028 1.34248i
\(738\) 17.3561 + 9.95678i 0.638885 + 0.366514i
\(739\) −25.2888 8.21683i −0.930264 0.302261i −0.195593 0.980685i \(-0.562663\pi\)
−0.734671 + 0.678424i \(0.762663\pi\)
\(740\) 3.98234 + 2.79981i 0.146394 + 0.102923i
\(741\) −48.1946 26.0815i −1.77047 0.958129i
\(742\) 0.231141 1.45937i 0.00848547 0.0535751i
\(743\) −19.0708 + 19.0708i −0.699641 + 0.699641i −0.964333 0.264692i \(-0.914730\pi\)
0.264692 + 0.964333i \(0.414730\pi\)
\(744\) 1.86917 10.1633i 0.0685270 0.372606i
\(745\) −10.4903 19.8205i −0.384334 0.726166i
\(746\) 12.5568 17.2829i 0.459736 0.632772i
\(747\) −14.1520 + 1.52692i −0.517794 + 0.0558672i
\(748\) −14.9325 + 7.60848i −0.545985 + 0.278193i
\(749\) 0.380457 0.0139016
\(750\) −18.5434 5.58055i −0.677109 0.203773i
\(751\) −27.8529 −1.01637 −0.508183 0.861249i \(-0.669683\pi\)
−0.508183 + 0.861249i \(0.669683\pi\)
\(752\) −2.70527 + 1.37840i −0.0986509 + 0.0502652i
\(753\) −8.84528 + 11.5604i −0.322340 + 0.421283i
\(754\) 8.20949 11.2994i 0.298972 0.411500i
\(755\) −18.7418 35.4109i −0.682082 1.28874i
\(756\) −3.30622 0.779295i −0.120246 0.0283427i
\(757\) −14.2550 + 14.2550i −0.518108 + 0.518108i −0.916998 0.398891i \(-0.869395\pi\)
0.398891 + 0.916998i \(0.369395\pi\)
\(758\) −0.154776 + 0.977218i −0.00562172 + 0.0354942i
\(759\) −1.65500 +