Properties

Label 150.2.l.a.17.7
Level 150
Weight 2
Character 150.17
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 17.7
Character \(\chi\) = 150.17
Dual form 150.2.l.a.53.7

$q$-expansion

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

Character Values

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

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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 0.789047 0.614333i \(-0.210575\pi\)
−0.614333 + 0.789047i \(0.710575\pi\)
\(8\) 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 −0.690798 0.723048i \(-0.742741\pi\)
−0.133871 + 0.990999i \(0.542741\pi\)
\(12\) −1.66004 0.494220i −0.479213 0.142669i
\(13\) 1.97121 + 3.86872i 0.546716 + 1.07299i 0.984741 + 0.174028i \(0.0556783\pi\)
−0.438025 + 0.898963i \(0.644322\pi\)
\(14\) 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 0.587305 0.809366i \(-0.300189\pi\)
0.808668 + 0.588266i \(0.200189\pi\)
\(18\) 2.01354 2.22389i 0.474595 0.524175i
\(19\) 4.28299 5.89503i 0.982585 1.35241i 0.0471595 0.998887i \(-0.484983\pi\)
0.935425 0.353525i \(-0.115017\pi\)
\(20\) −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 −0.855602 0.517635i \(-0.826813\pi\)
0.921685 + 0.387938i \(0.126813\pi\)
\(24\) −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 −0.319334 0.947642i \(-0.603459\pi\)
0.802582 + 0.596542i \(0.203459\pi\)
\(30\) 1.16268 3.69434i 0.212275 0.674492i
\(31\) −4.82678 3.50686i −0.866915 0.629850i 0.0628427 0.998023i \(-0.479983\pi\)
−0.929757 + 0.368173i \(0.879983\pi\)
\(32\) −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 −0.606110 0.795380i \(-0.707271\pi\)
0.287213 + 0.957867i \(0.407271\pi\)
\(38\) 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 0.759127 0.650943i \(-0.225626\pi\)
0.231532 + 0.972827i \(0.425626\pi\)
\(42\) −0.932251 0.642614i −0.143849 0.0991574i
\(43\) −5.08751 + 5.08751i −0.775838 + 0.775838i −0.979120 0.203282i \(-0.934839\pi\)
0.203282 + 0.979120i \(0.434839\pi\)
\(44\) −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 0.928528 + 0.371262i \(0.121075\pi\)
−0.997809 + 0.0661599i \(0.978925\pi\)
\(48\) −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 0.307861 0.951431i \(-0.400387\pi\)
−0.00121543 + 0.999999i \(0.500387\pi\)
\(54\) −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 0.613895 + 0.789388i \(0.289602\pi\)
−0.960642 + 0.277790i \(0.910398\pi\)
\(60\) 2.71315 2.76384i 0.350266 0.356810i
\(61\) 2.77903 + 8.55298i 0.355818 + 1.09510i 0.955533 + 0.294883i \(0.0952806\pi\)
−0.599715 + 0.800214i \(0.704719\pi\)
\(62\) −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 −0.624964 0.780654i \(-0.714886\pi\)
0.353141 0.935570i \(-0.385114\pi\)
\(68\) 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 −0.984117 0.177521i \(-0.943192\pi\)
0.135277 0.990808i \(-0.456808\pi\)
\(72\) 2.98269 + 0.321816i 0.351513 + 0.0379264i
\(73\) 0.498794 + 0.254148i 0.0583794 + 0.0297458i 0.482937 0.875655i \(-0.339570\pi\)
−0.424557 + 0.905401i \(0.639570\pi\)
\(74\) −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 0.999863 0.0165708i \(-0.00527490\pi\)
−0.324734 + 0.945805i \(0.605275\pi\)
\(80\) −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 −0.994349 0.106156i \(-0.966146\pi\)
0.912879 0.408231i \(-0.133854\pi\)
\(84\) −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 0.810583 0.585624i \(-0.199151\pi\)
−0.999996 + 0.00266864i \(0.999151\pi\)
\(90\) 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 0.417790 0.908544i \(-0.362805\pi\)
0.116587 + 0.993181i \(0.462805\pi\)
\(98\) 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 \(-0.785167\pi\)
0.780758 0.624833i \(-0.214833\pi\)
\(102\) −9.51920 + 3.35615i −0.942541 + 0.332309i
\(103\) −0.958193 + 6.04979i −0.0944135 + 0.596104i 0.894437 + 0.447194i \(0.147576\pi\)
−0.988851 + 0.148910i \(0.952424\pi\)
\(104\) −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 −0.686935 0.726719i \(-0.741044\pi\)
0.726719 + 0.686935i \(0.241044\pi\)
\(108\) −2.73330 + 4.41917i −0.263011 + 0.425235i
\(109\) −11.0499 3.59033i −1.05839 0.343891i −0.272433 0.962175i \(-0.587828\pi\)
−0.785955 + 0.618284i \(0.787828\pi\)
\(110\) 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 −0.932250 0.361814i \(-0.882158\pi\)
−0.255249 + 0.966875i \(0.582158\pi\)
\(114\) −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 −0.390369 0.920658i \(-0.627653\pi\)
0.974282 0.225334i \(-0.0723474\pi\)
\(128\) −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 −0.644205 0.764853i \(-0.722812\pi\)
0.926489 + 0.376323i \(0.122812\pi\)
\(132\) 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 −0.798858 0.601520i \(-0.794562\pi\)
−0.0170834 0.999854i \(-0.505438\pi\)
\(138\) −0.345010 + 1.15886i −0.0293692 + 0.0986488i
\(139\) 11.0917 3.60392i 0.940788 0.305681i 0.201821 0.979422i \(-0.435314\pi\)
0.738967 + 0.673742i \(0.235314\pi\)
\(140\) −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 0.402331 0.915494i \(-0.368200\pi\)
−0.915494 + 0.402331i \(0.868200\pi\)
\(158\) 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 0.665198 0.746667i \(-0.268347\pi\)
−0.995060 + 0.0992767i \(0.968347\pi\)
\(164\) 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 0.0407774 0.999168i \(-0.487017\pi\)
0.347542 + 0.937665i \(0.387017\pi\)
\(168\) −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 0.284404 + 0.958705i \(0.408204\pi\)
−0.942777 + 0.333425i \(0.891796\pi\)
\(174\) −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 −0.702486 0.711698i \(-0.747927\pi\)
0.459785 + 0.888030i \(0.347927\pi\)
\(180\) −0.823191 + 6.65750i −0.0613570 + 0.496221i
\(181\) 3.30770 + 2.40319i 0.245860 + 0.178628i 0.703890 0.710309i \(-0.251445\pi\)
−0.458030 + 0.888937i \(0.651445\pi\)
\(182\) −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 0.696140 0.717906i \(-0.254899\pi\)
0.141214 + 0.989979i \(0.454899\pi\)
\(192\) 0.983013 1.42607i 0.0709428 0.102918i
\(193\) −9.01719 + 9.01719i −0.649071 + 0.649071i −0.952769 0.303697i \(-0.901779\pi\)
0.303697 + 0.952769i \(0.401779\pi\)
\(194\) 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 −0.989868 0.141990i \(-0.954650\pi\)
0.985298 + 0.170845i \(0.0546498\pi\)
\(198\) −3.53090 + 7.87201i −0.250930 + 0.559439i
\(199\) 10.9949i 0.779406i 0.920941 + 0.389703i \(0.127422\pi\)
−0.920941 + 0.389703i \(0.872578\pi\)
\(200\) 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 0.868028 + 0.496515i \(0.165387\pi\)
−0.410406 + 0.911903i \(0.634613\pi\)
\(212\) 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 0.632981 0.774167i \(-0.281831\pi\)
−0.254258 + 0.967137i \(0.581831\pi\)
\(224\) −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 −0.0165960 0.999862i \(-0.505283\pi\)
−0.818660 + 0.574278i \(0.805283\pi\)
\(228\) −10.0234 + 7.66927i −0.663815 + 0.507910i
\(229\) −8.94288 12.3088i −0.590962 0.813389i 0.403882 0.914811i \(-0.367661\pi\)
−0.994844 + 0.101422i \(0.967661\pi\)
\(230\) 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 0.995556 + 0.0941731i \(0.0300207\pi\)
−0.917729 + 0.397208i \(0.869979\pi\)
\(234\) 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 0.994844 + 0.101414i \(0.0323367\pi\)
−0.745236 + 0.666801i \(0.767663\pi\)
\(240\) 3.83074 + 0.570439i 0.247273 + 0.0368217i
\(241\) 7.01360 21.5856i 0.451786 1.39045i −0.423082 0.906092i \(-0.639052\pi\)
0.874868 0.484362i \(-0.160948\pi\)
\(242\) −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 \(0.0854471\pi\)
−0.964186 + 0.265228i \(0.914553\pi\)
\(252\) 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 −0.413942 + 0.910303i \(0.635848\pi\)
−0.910303 + 0.413942i \(0.864152\pi\)
\(258\) 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 −0.565921 0.824459i \(-0.691479\pi\)
0.334361 + 0.942445i \(0.391479\pi\)
\(264\) 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 −0.0382610 0.999268i \(-0.512182\pi\)
−0.962183 + 0.272402i \(0.912182\pi\)
\(270\) −9.78537 6.26470i −0.595519 0.381258i
\(271\) −5.48031 + 3.98168i −0.332905 + 0.241870i −0.741662 0.670773i \(-0.765962\pi\)
0.408757 + 0.912643i \(0.365962\pi\)
\(272\) −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 0.269742 + 0.962933i \(0.413062\pi\)
−0.937579 + 0.347772i \(0.886938\pi\)
\(278\) 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 −0.290102 0.956996i \(-0.593689\pi\)
0.999803 0.0198246i \(-0.00631077\pi\)
\(282\) −0.130408 5.25722i −0.00776566 0.313063i
\(283\) −8.20158 + 1.29900i −0.487533 + 0.0772177i −0.395362 0.918525i \(-0.629381\pi\)
−0.0921715 + 0.995743i \(0.529381\pi\)
\(284\) 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 0.741513 0.670938i \(-0.234109\pi\)
−0.670938 + 0.741513i \(0.734109\pi\)
\(294\) 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 0.824380 0.566036i \(-0.191524\pi\)
−0.566036 + 0.824380i \(0.691524\pi\)
\(308\) −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 −0.875274 + 0.483628i \(0.839319\pi\)
−0.992381 + 0.123210i \(0.960681\pi\)
\(312\) 2.14589 7.20786i 0.121487 0.408065i
\(313\) −11.8701 23.2965i −0.670940 1.31679i −0.935808 0.352509i \(-0.885329\pi\)
0.264869 0.964285i \(-0.414671\pi\)
\(314\) −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 0.234638 0.972083i \(-0.424610\pi\)
0.523544 + 0.851999i \(0.324610\pi\)
\(318\) −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 0.327448 0.944869i \(-0.393811\pi\)
−0.797437 + 0.603402i \(0.793811\pi\)
\(332\) 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 −0.997784 0.0665380i \(-0.978805\pi\)
−0.532652 + 0.846334i \(0.678805\pi\)
\(338\) −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 −0.870083 0.492905i \(-0.835935\pi\)
0.979814 0.199911i \(-0.0640652\pi\)
\(348\) −5.25448 + 1.85256i −0.281670 + 0.0993074i
\(349\) 30.4326i 1.62902i 0.580151 + 0.814509i \(0.302993\pi\)
−0.580151 + 0.814509i \(0.697007\pi\)
\(350\) 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 0.232547 0.972585i \(-0.425294\pi\)
−0.0793796 + 0.996844i \(0.525294\pi\)
\(354\) 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 −0.865569 0.500789i \(-0.833043\pi\)
0.994617 + 0.103622i \(0.0330433\pi\)
\(360\) −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 0.898262 + 0.439460i \(0.144830\pi\)
−0.718497 + 0.695530i \(0.755170\pi\)
\(368\) 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 0.871020 0.491247i \(-0.163459\pi\)
0.114545 + 0.993418i \(0.463459\pi\)
\(374\) −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 0.793820 0.608153i \(-0.208089\pi\)
−0.823692 + 0.567038i \(0.808089\pi\)
\(380\) −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 0.985253 + 0.171102i \(0.0547326\pi\)
−0.884158 + 0.467187i \(0.845267\pi\)
\(384\) 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 −0.899372 0.437185i \(-0.855976\pi\)
0.470636 0.882327i \(-0.344024\pi\)
\(390\) 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 0.243950 0.969788i \(-0.421557\pi\)
−0.0676706 + 0.997708i \(0.521557\pi\)
\(398\) −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 \(-0.863527\pi\)
0.909489 0.415729i \(-0.136473\pi\)
\(402\) 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 0.206039 0.978544i \(-0.433943\pi\)
−0.408484 + 0.912765i \(0.633943\pi\)
\(410\) −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 0.435799 0.900044i \(-0.356466\pi\)
−0.721324 + 0.692598i \(0.756466\pi\)
\(420\) 2.53173 0.0234322i 0.123536 0.00114338i
\(421\) −11.7630 + 8.54631i −0.573293 + 0.416521i −0.836300 0.548272i \(-0.815286\pi\)
0.263007 + 0.964794i \(0.415286\pi\)
\(422\) −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 −0.863722 0.503968i \(-0.831873\pi\)
0.746207 + 0.665714i \(0.231873\pi\)
\(432\) −5.18178 + 0.386242i −0.249308 + 0.0185831i
\(433\) 28.8682 4.57227i 1.38732 0.219729i 0.582296 0.812977i \(-0.302154\pi\)
0.805020 + 0.593248i \(0.202154\pi\)
\(434\) 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 −0.0412056 0.999151i \(-0.513120\pi\)
0.553950 + 0.832550i \(0.313120\pi\)
\(440\) 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 0.350728 0.936477i \(-0.385934\pi\)
−0.936477 + 0.350728i \(0.885934\pi\)
\(444\) 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 0.592757 0.805381i \(-0.298039\pi\)
−0.805381 + 0.592757i \(0.798039\pi\)
\(458\) −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 −0.703689 0.710508i \(-0.748465\pi\)
−0.151670 + 0.988431i \(0.548465\pi\)
\(462\) 3.12090 + 0.929138i 0.145197 + 0.0432274i
\(463\) 2.03171 + 3.98746i 0.0944216 + 0.185313i 0.933387 0.358873i \(-0.116839\pi\)
−0.838965 + 0.544186i \(0.816839\pi\)
\(464\) 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 −0.196613 0.980481i \(-0.562994\pi\)
0.115996 + 0.993250i \(0.462994\pi\)
\(468\) 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 −0.856179 0.516679i \(-0.827168\pi\)
0.226817 + 0.973937i \(0.427168\pi\)
\(480\) 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 0.218852 0.975758i \(-0.429769\pi\)
0.918043 + 0.396481i \(0.129769\pi\)
\(488\) −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 0.106156 0.994349i \(-0.466146\pi\)
−0.498582 + 0.866843i \(0.666146\pi\)
\(492\) −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 \(-0.906588\pi\)
0.957248 0.289268i \(-0.0934119\pi\)
\(500\) 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 0.631450 0.775416i \(-0.282460\pi\)
0.360928 + 0.932594i \(0.382460\pi\)
\(504\) 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 −0.922329 0.386407i \(-0.873716\pi\)
0.973304 + 0.229522i \(0.0737162\pi\)
\(510\) 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 0.839683 + 0.543077i \(0.182741\pi\)
0.257021 + 0.966406i \(0.417259\pi\)
\(522\) 1.03519 9.59442i 0.0453089 0.419937i
\(523\) −19.8847 10.1317i −0.869495 0.443030i −0.0384667 0.999260i \(-0.512247\pi\)
−0.831028 + 0.556230i \(0.812247\pi\)
\(524\) 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 −0.937902 0.346902i \(-0.887234\pi\)
0.962682 + 0.270635i \(0.0872338\pi\)
\(542\) −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 −0.379878 0.925036i \(-0.624034\pi\)
−0.647138 + 0.762373i \(0.724034\pi\)
\(548\) 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 −0.204281 0.978912i \(-0.565485\pi\)
0.978912 + 0.204281i \(0.0654855\pi\)
\(558\) −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 −0.472214 0.881484i \(-0.656545\pi\)
0.435575 + 0.900153i \(0.356545\pi\)
\(564\) 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 0.950311 0.311301i \(-0.100765\pi\)
−0.00240243 + 0.999997i \(0.500765\pi\)
\(570\) −16.7985 22.6768i −0.703613 0.949828i
\(571\) −4.29121 + 3.11775i −0.179582 + 0.130474i −0.673945 0.738782i \(-0.735401\pi\)
0.494363 + 0.869256i \(0.335401\pi\)
\(572\) 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 −0.955364 0.295432i \(-0.904537\pi\)
0.800558 + 0.599255i \(0.204537\pi\)
\(578\) 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 0.941917 + 0.335847i \(0.109023\pi\)
−0.281939 + 0.959432i \(0.590977\pi\)
\(588\) −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 0.757045 0.653363i \(-0.226643\pi\)
−0.653363 + 0.757045i \(0.726643\pi\)
\(594\) −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 0.630434 0.776243i \(-0.282877\pi\)
−0.776243 + 0.630434i \(0.782877\pi\)
\(608\) 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 0.987834 0.155510i \(-0.0497021\pi\)
−0.706445 + 0.707768i \(0.749702\pi\)
\(614\) 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 −0.297829 0.954619i \(-0.596262\pi\)
0.0117417 + 0.999931i \(0.496262\pi\)
\(618\) −0.263084 10.6059i −0.0105828 0.426632i
\(619\) −7.42133 + 10.2146i −0.298288 + 0.410559i −0.931684 0.363269i \(-0.881661\pi\)
0.633396 + 0.773828i \(0.281661\pi\)
\(620\) 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 0.545288 0.838249i \(-0.316420\pi\)
−0.628718 + 0.777633i \(0.716420\pi\)
\(632\) −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 0.377146 0.926154i \(-0.376905\pi\)
−0.239262 + 0.970955i \(0.576905\pi\)
\(642\) −0.572103 + 0.829960i −0.0225791 + 0.0327559i
\(643\) 9.94703 9.94703i 0.392273 0.392273i −0.483224 0.875497i \(-0.660534\pi\)
0.875497 + 0.483224i \(0.160534\pi\)
\(644\) 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 −0.972570 0.232612i \(-0.925273\pi\)
0.996850 + 0.0793138i \(0.0252729\pi\)
\(648\) 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 −0.131534 0.991312i \(-0.541990\pi\)
−0.431428 + 0.902147i \(0.641990\pi\)
\(654\) 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 −0.998977 0.0452283i \(-0.985598\pi\)
0.834774 + 0.550593i \(0.185598\pi\)
\(660\) −4.96457 + 9.97059i −0.193246 + 0.388105i
\(661\) −2.48143 7.63705i −0.0965164 0.297047i 0.891130 0.453749i \(-0.149914\pi\)
−0.987646 + 0.156702i \(0.949914\pi\)
\(662\) −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 −0.0765912 0.997063i \(-0.524404\pi\)
−0.851660 + 0.524095i \(0.824404\pi\)
\(674\) −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 0.740746 0.671785i \(-0.234472\pi\)
−0.108086 + 0.994142i \(0.534472\pi\)
\(678\) 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 0.792338 + 0.610082i \(0.208863\pi\)
−0.565033 + 0.825068i \(0.691137\pi\)
\(684\) 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 −0.988742 0.149633i \(-0.952191\pi\)
0.887861 + 0.460112i \(0.152191\pi\)
\(692\) −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 \(-0.543869\pi\)
0.137384 0.990518i \(-0.456131\pi\)
\(702\) −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 0.417555 0.908652i \(-0.362887\pi\)
−0.196283 + 0.980547i \(0.562887\pi\)
\(710\) 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 0.646929 0.762550i \(-0.276053\pi\)
−0.525316 + 0.850907i \(0.676053\pi\)
\(720\) −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 0.478844 + 0.877900i \(0.341056\pi\)
−0.991693 + 0.128624i \(0.958944\pi\)
\(728\) −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 −0.403167 0.915126i \(-0.632091\pi\)
−0.100645 + 0.994922i \(0.532091\pi\)
\(734\) −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 −0.734671 0.678424i \(-0.762663\pi\)
−0.195593 + 0.980685i \(0.562663\pi\)
\(740\) 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 0.264692 0.964333i \(-0.414730\pi\)
−0.964333 + 0.264692i \(0.914730\pi\)
\(744\) 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 0.398891 0.916998i \(-0.369395\pi\)
−0.916998 + 0.398891i \(0.869395\pi\)
\(758\) −0.154776