Properties

Label 403.2.bs.a.4.6
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.6
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.431958 + 2.03220i) q^{2} +(1.72231 + 1.91282i) q^{3} +(-2.11617 - 0.942181i) q^{4} +3.56131i q^{5} +(-4.63120 + 2.67382i) q^{6} +(1.47626 - 3.31574i) q^{7} +(0.386433 - 0.531879i) q^{8} +(-0.378938 + 3.60536i) q^{9} +O(q^{10})\) \(q+(-0.431958 + 2.03220i) q^{2} +(1.72231 + 1.91282i) q^{3} +(-2.11617 - 0.942181i) q^{4} +3.56131i q^{5} +(-4.63120 + 2.67382i) q^{6} +(1.47626 - 3.31574i) q^{7} +(0.386433 - 0.531879i) q^{8} +(-0.378938 + 3.60536i) q^{9} +(-7.23732 - 1.53834i) q^{10} +(-1.56108 + 0.164076i) q^{11} +(-1.84248 - 5.67058i) q^{12} +(2.76209 - 2.31751i) q^{13} +(6.10057 + 4.43232i) q^{14} +(-6.81214 + 6.13368i) q^{15} +(-2.18604 - 2.42784i) q^{16} +(-0.247176 + 2.35172i) q^{17} +(-7.16314 - 2.32744i) q^{18} +(-0.0995353 - 0.0896220i) q^{19} +(3.35540 - 7.53636i) q^{20} +(8.88498 - 2.88690i) q^{21} +(0.340886 - 3.24331i) q^{22} +(8.30014 - 3.69546i) q^{23} +(1.68294 - 0.176885i) q^{24} -7.68296 q^{25} +(3.51655 + 6.61420i) q^{26} +(-1.30193 + 0.945909i) q^{27} +(-6.24805 + 5.62577i) q^{28} +(-7.06762 - 1.50227i) q^{29} +(-9.52233 - 16.4932i) q^{30} +(1.85916 + 5.24819i) q^{31} +(7.01687 - 4.05119i) q^{32} +(-3.00251 - 2.70348i) q^{33} +(-4.67240 - 1.51816i) q^{34} +(11.8084 + 5.25743i) q^{35} +(4.19880 - 7.27254i) q^{36} +(1.38441 + 0.799291i) q^{37} +(0.225125 - 0.163563i) q^{38} +(9.19015 + 1.29190i) q^{39} +(1.89419 + 1.37621i) q^{40} +(-0.652874 + 3.07153i) q^{41} +(2.02884 + 19.3031i) q^{42} +(6.22115 - 6.90929i) q^{43} +(3.45811 + 1.12361i) q^{44} +(-12.8398 - 1.34952i) q^{45} +(3.92462 + 18.4639i) q^{46} +(-5.64720 - 1.83489i) q^{47} +(0.878985 - 8.36299i) q^{48} +(-4.13085 - 4.58778i) q^{49} +(3.31872 - 15.6133i) q^{50} +(-4.92412 + 3.57758i) q^{51} +(-8.02858 + 2.30187i) q^{52} +(-0.292197 - 0.212293i) q^{53} +(-1.35990 - 3.05438i) q^{54} +(-0.584328 - 5.55951i) q^{55} +(-1.19310 - 2.06650i) q^{56} -0.344750i q^{57} +(6.10583 - 13.7139i) q^{58} +(0.131220 + 0.617343i) q^{59} +(20.1947 - 6.56166i) q^{60} +(-7.37845 - 12.7798i) q^{61} +(-11.4685 + 1.51119i) q^{62} +(11.3950 + 6.57891i) q^{63} +(3.18274 + 9.79547i) q^{64} +(8.25339 + 9.83667i) q^{65} +(6.79097 - 4.93393i) q^{66} +(-3.71886 - 2.14709i) q^{67} +(2.73881 - 4.74376i) q^{68} +(21.3642 + 9.51193i) q^{69} +(-15.7849 + 21.7260i) q^{70} +(-7.91454 - 0.831851i) q^{71} +(1.77118 + 1.59478i) q^{72} +(5.10437 + 7.02556i) q^{73} +(-2.22233 + 2.46815i) q^{74} +(-13.2324 - 14.6961i) q^{75} +(0.126194 + 0.283436i) q^{76} +(-1.76053 + 5.41836i) q^{77} +(-6.59517 + 18.1182i) q^{78} +(9.19882 + 6.68334i) q^{79} +(8.64631 - 7.78517i) q^{80} +(6.58631 + 1.39996i) q^{81} +(-5.95997 - 2.65355i) q^{82} +(-10.3918 + 3.37650i) q^{83} +(-21.5221 - 2.26207i) q^{84} +(-8.37521 - 0.880270i) q^{85} +(11.3538 + 15.6272i) q^{86} +(-9.29905 - 16.1064i) q^{87} +(-0.515985 + 0.893712i) q^{88} +(-9.66773 + 1.01612i) q^{89} +(8.28876 - 25.5102i) q^{90} +(-3.60670 - 12.5796i) q^{91} -21.0463 q^{92} +(-6.83679 + 12.5952i) q^{93} +(6.16821 - 10.6837i) q^{94} +(0.319172 - 0.354477i) q^{95} +(19.8344 + 6.44458i) q^{96} +(-5.32640 + 11.9633i) q^{97} +(11.1077 - 6.41301i) q^{98} -5.69044i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.431958 + 2.03220i −0.305441 + 1.43699i 0.511012 + 0.859573i \(0.329271\pi\)
−0.816453 + 0.577412i \(0.804063\pi\)
\(3\) 1.72231 + 1.91282i 0.994375 + 1.10437i 0.994539 + 0.104366i \(0.0332812\pi\)
−0.000163734 1.00000i \(0.500052\pi\)
\(4\) −2.11617 0.942181i −1.05809 0.471091i
\(5\) 3.56131i 1.59267i 0.604857 + 0.796334i \(0.293230\pi\)
−0.604857 + 0.796334i \(0.706770\pi\)
\(6\) −4.63120 + 2.67382i −1.89068 + 1.09158i
\(7\) 1.47626 3.31574i 0.557974 1.25323i −0.385782 0.922590i \(-0.626068\pi\)
0.943757 0.330641i \(-0.107265\pi\)
\(8\) 0.386433 0.531879i 0.136625 0.188048i
\(9\) −0.378938 + 3.60536i −0.126313 + 1.20179i
\(10\) −7.23732 1.53834i −2.28864 0.486466i
\(11\) −1.56108 + 0.164076i −0.470684 + 0.0494709i −0.336902 0.941540i \(-0.609379\pi\)
−0.133782 + 0.991011i \(0.542712\pi\)
\(12\) −1.84248 5.67058i −0.531879 1.63696i
\(13\) 2.76209 2.31751i 0.766066 0.642762i
\(14\) 6.10057 + 4.43232i 1.63045 + 1.18459i
\(15\) −6.81214 + 6.13368i −1.75889 + 1.58371i
\(16\) −2.18604 2.42784i −0.546510 0.606960i
\(17\) −0.247176 + 2.35172i −0.0599489 + 0.570376i 0.922780 + 0.385326i \(0.125911\pi\)
−0.982729 + 0.185049i \(0.940756\pi\)
\(18\) −7.16314 2.32744i −1.68837 0.548584i
\(19\) −0.0995353 0.0896220i −0.0228350 0.0205607i 0.657634 0.753337i \(-0.271557\pi\)
−0.680469 + 0.732777i \(0.738224\pi\)
\(20\) 3.35540 7.53636i 0.750291 1.68518i
\(21\) 8.88498 2.88690i 1.93886 0.629974i
\(22\) 0.340886 3.24331i 0.0726771 0.691477i
\(23\) 8.30014 3.69546i 1.73070 0.770557i 0.734985 0.678084i \(-0.237189\pi\)
0.995715 0.0924734i \(-0.0294773\pi\)
\(24\) 1.68294 0.176885i 0.343530 0.0361064i
\(25\) −7.68296 −1.53659
\(26\) 3.51655 + 6.61420i 0.689652 + 1.29715i
\(27\) −1.30193 + 0.945909i −0.250557 + 0.182040i
\(28\) −6.24805 + 5.62577i −1.18077 + 1.06317i
\(29\) −7.06762 1.50227i −1.31242 0.278964i −0.502030 0.864850i \(-0.667413\pi\)
−0.810393 + 0.585886i \(0.800747\pi\)
\(30\) −9.52233 16.4932i −1.73853 3.01123i
\(31\) 1.85916 + 5.24819i 0.333915 + 0.942603i
\(32\) 7.01687 4.05119i 1.24042 0.716156i
\(33\) −3.00251 2.70348i −0.522671 0.470615i
\(34\) −4.67240 1.51816i −0.801310 0.260362i
\(35\) 11.8084 + 5.25743i 1.99598 + 0.888668i
\(36\) 4.19880 7.27254i 0.699800 1.21209i
\(37\) 1.38441 + 0.799291i 0.227596 + 0.131403i 0.609463 0.792815i \(-0.291385\pi\)
−0.381866 + 0.924218i \(0.624719\pi\)
\(38\) 0.225125 0.163563i 0.0365201 0.0265334i
\(39\) 9.19015 + 1.29190i 1.47160 + 0.206870i
\(40\) 1.89419 + 1.37621i 0.299498 + 0.217598i
\(41\) −0.652874 + 3.07153i −0.101962 + 0.479693i 0.897305 + 0.441411i \(0.145522\pi\)
−0.999267 + 0.0382820i \(0.987811\pi\)
\(42\) 2.02884 + 19.3031i 0.313057 + 2.97853i
\(43\) 6.22115 6.90929i 0.948717 1.05366i −0.0497754 0.998760i \(-0.515851\pi\)
0.998492 0.0548962i \(-0.0174828\pi\)
\(44\) 3.45811 + 1.12361i 0.521330 + 0.169390i
\(45\) −12.8398 1.34952i −1.91405 0.201174i
\(46\) 3.92462 + 18.4639i 0.578653 + 2.72235i
\(47\) −5.64720 1.83489i −0.823728 0.267646i −0.133327 0.991072i \(-0.542566\pi\)
−0.690401 + 0.723427i \(0.742566\pi\)
\(48\) 0.878985 8.36299i 0.126871 1.20709i
\(49\) −4.13085 4.58778i −0.590122 0.655397i
\(50\) 3.31872 15.6133i 0.469337 2.20806i
\(51\) −4.92412 + 3.57758i −0.689515 + 0.500962i
\(52\) −8.02858 + 2.30187i −1.11336 + 0.319212i
\(53\) −0.292197 0.212293i −0.0401363 0.0291607i 0.567536 0.823348i \(-0.307897\pi\)
−0.607673 + 0.794188i \(0.707897\pi\)
\(54\) −1.35990 3.05438i −0.185059 0.415649i
\(55\) −0.584328 5.55951i −0.0787907 0.749644i
\(56\) −1.19310 2.06650i −0.159434 0.276148i
\(57\) 0.344750i 0.0456632i
\(58\) 6.10583 13.7139i 0.801735 1.80073i
\(59\) 0.131220 + 0.617343i 0.0170834 + 0.0803712i 0.985863 0.167551i \(-0.0535857\pi\)
−0.968780 + 0.247922i \(0.920252\pi\)
\(60\) 20.1947 6.56166i 2.60713 0.847107i
\(61\) −7.37845 12.7798i −0.944713 1.63629i −0.756324 0.654197i \(-0.773007\pi\)
−0.188389 0.982094i \(-0.560327\pi\)
\(62\) −11.4685 + 1.51119i −1.45650 + 0.191922i
\(63\) 11.3950 + 6.57891i 1.43564 + 0.828865i
\(64\) 3.18274 + 9.79547i 0.397843 + 1.22443i
\(65\) 8.25339 + 9.83667i 1.02371 + 1.22009i
\(66\) 6.79097 4.93393i 0.835911 0.607325i
\(67\) −3.71886 2.14709i −0.454331 0.262308i 0.255326 0.966855i \(-0.417817\pi\)
−0.709658 + 0.704547i \(0.751150\pi\)
\(68\) 2.73881 4.74376i 0.332130 0.575266i
\(69\) 21.3642 + 9.51193i 2.57194 + 1.14510i
\(70\) −15.7849 + 21.7260i −1.88666 + 2.59676i
\(71\) −7.91454 0.831851i −0.939283 0.0987226i −0.377502 0.926009i \(-0.623217\pi\)
−0.561781 + 0.827286i \(0.689884\pi\)
\(72\) 1.77118 + 1.59478i 0.208736 + 0.187946i
\(73\) 5.10437 + 7.02556i 0.597421 + 0.822279i 0.995469 0.0950852i \(-0.0303124\pi\)
−0.398048 + 0.917364i \(0.630312\pi\)
\(74\) −2.22233 + 2.46815i −0.258341 + 0.286917i
\(75\) −13.2324 14.6961i −1.52795 1.69696i
\(76\) 0.126194 + 0.283436i 0.0144754 + 0.0325123i
\(77\) −1.76053 + 5.41836i −0.200631 + 0.617479i
\(78\) −6.59517 + 18.1182i −0.746756 + 2.05148i
\(79\) 9.19882 + 6.68334i 1.03495 + 0.751934i 0.969293 0.245908i \(-0.0790862\pi\)
0.0656554 + 0.997842i \(0.479086\pi\)
\(80\) 8.64631 7.78517i 0.966687 0.870408i
\(81\) 6.58631 + 1.39996i 0.731812 + 0.155552i
\(82\) −5.95997 2.65355i −0.658168 0.293035i
\(83\) −10.3918 + 3.37650i −1.14065 + 0.370619i −0.817613 0.575768i \(-0.804703\pi\)
−0.323035 + 0.946387i \(0.604703\pi\)
\(84\) −21.5221 2.26207i −2.34826 0.246812i
\(85\) −8.37521 0.880270i −0.908419 0.0954787i
\(86\) 11.3538 + 15.6272i 1.22431 + 1.68512i
\(87\) −9.29905 16.1064i −0.996963 1.72679i
\(88\) −0.515985 + 0.893712i −0.0550042 + 0.0952700i
\(89\) −9.66773 + 1.01612i −1.02478 + 0.107708i −0.601976 0.798514i \(-0.705620\pi\)
−0.422801 + 0.906222i \(0.638953\pi\)
\(90\) 8.28876 25.5102i 0.873712 2.68901i
\(91\) −3.60670 12.5796i −0.378084 1.31870i
\(92\) −21.0463 −2.19423
\(93\) −6.83679 + 12.5952i −0.708942 + 1.30607i
\(94\) 6.16821 10.6837i 0.636203 1.10194i
\(95\) 0.319172 0.354477i 0.0327464 0.0363685i
\(96\) 19.8344 + 6.44458i 2.02434 + 0.657748i
\(97\) −5.32640 + 11.9633i −0.540814 + 1.21469i 0.412015 + 0.911177i \(0.364825\pi\)
−0.952828 + 0.303510i \(0.901841\pi\)
\(98\) 11.1077 6.41301i 1.12204 0.647811i
\(99\) 5.69044i 0.571910i
\(100\) 16.2585 + 7.23874i 1.62585 + 0.723874i
\(101\) 8.65145 3.85187i 0.860852 0.383276i 0.0716645 0.997429i \(-0.477169\pi\)
0.789187 + 0.614153i \(0.210502\pi\)
\(102\) −5.14336 11.5522i −0.509269 1.14384i
\(103\) 2.73733 + 8.42465i 0.269718 + 0.830105i 0.990569 + 0.137016i \(0.0437510\pi\)
−0.720851 + 0.693090i \(0.756249\pi\)
\(104\) −0.165274 2.36466i −0.0162065 0.231874i
\(105\) 10.2812 + 31.6422i 1.00334 + 3.08796i
\(106\) 0.557640 0.502101i 0.0541628 0.0487684i
\(107\) 6.77156 3.01489i 0.654632 0.291461i −0.0524173 0.998625i \(-0.516693\pi\)
0.707049 + 0.707164i \(0.250026\pi\)
\(108\) 3.64633 0.775052i 0.350868 0.0745794i
\(109\) 12.7441 + 4.14081i 1.22066 + 0.396618i 0.847324 0.531077i \(-0.178213\pi\)
0.373340 + 0.927695i \(0.378213\pi\)
\(110\) 11.5505 + 1.21400i 1.10129 + 0.115751i
\(111\) 0.855488 + 4.02476i 0.0811993 + 0.382013i
\(112\) −11.2772 + 3.66420i −1.06560 + 0.346234i
\(113\) −5.75958 2.56433i −0.541815 0.241232i 0.117533 0.993069i \(-0.462501\pi\)
−0.659349 + 0.751837i \(0.729168\pi\)
\(114\) 0.700602 + 0.148917i 0.0656173 + 0.0139474i
\(115\) 13.1607 + 29.5594i 1.22724 + 2.75643i
\(116\) 13.5409 + 9.83804i 1.25724 + 0.913439i
\(117\) 7.30880 + 10.8365i 0.675699 + 1.00184i
\(118\) −1.31125 −0.120710
\(119\) 7.43279 + 4.29132i 0.681362 + 0.393385i
\(120\) 0.629942 + 5.99350i 0.0575055 + 0.547129i
\(121\) −8.34957 + 1.77476i −0.759051 + 0.161341i
\(122\) 29.1584 9.47415i 2.63988 0.857749i
\(123\) −6.99973 + 4.04130i −0.631145 + 0.364391i
\(124\) 1.01044 12.8578i 0.0907404 1.15466i
\(125\) 9.55485i 0.854612i
\(126\) −18.2919 + 20.3152i −1.62957 + 1.80982i
\(127\) 3.94800 + 4.38470i 0.350328 + 0.389079i 0.892394 0.451257i \(-0.149024\pi\)
−0.542066 + 0.840336i \(0.682358\pi\)
\(128\) −5.16523 + 0.542887i −0.456546 + 0.0479849i
\(129\) 23.9309 2.10700
\(130\) −23.5552 + 12.5235i −2.06593 + 1.09839i
\(131\) −5.28237 + 3.83787i −0.461523 + 0.335316i −0.794128 0.607750i \(-0.792072\pi\)
0.332605 + 0.943066i \(0.392072\pi\)
\(132\) 3.80668 + 8.54994i 0.331329 + 0.744177i
\(133\) −0.444103 + 0.197727i −0.0385086 + 0.0171451i
\(134\) 5.96971 6.63003i 0.515704 0.572748i
\(135\) −3.36868 4.63659i −0.289930 0.399054i
\(136\) 1.15531 + 1.04025i 0.0990673 + 0.0892006i
\(137\) −2.31117 10.8732i −0.197457 0.928961i −0.959560 0.281505i \(-0.909166\pi\)
0.762103 0.647456i \(-0.224167\pi\)
\(138\) −28.5586 + 39.3076i −2.43107 + 3.34608i
\(139\) 0.602543 0.128074i 0.0511070 0.0108631i −0.182287 0.983245i \(-0.558350\pi\)
0.233394 + 0.972382i \(0.425017\pi\)
\(140\) −20.0351 22.2513i −1.69328 1.88058i
\(141\) −6.21641 13.9623i −0.523516 1.17584i
\(142\) 5.10924 15.7246i 0.428758 1.31958i
\(143\) −3.93160 + 4.07102i −0.328777 + 0.340436i
\(144\) 9.58161 6.96145i 0.798468 0.580121i
\(145\) 5.35005 25.1700i 0.444297 2.09025i
\(146\) −16.4822 + 7.33837i −1.36408 + 0.607327i
\(147\) 1.66098 15.8031i 0.136995 1.30342i
\(148\) −2.17658 2.99581i −0.178914 0.246254i
\(149\) 14.1974 8.19689i 1.16310 0.671516i 0.211054 0.977474i \(-0.432310\pi\)
0.952045 + 0.305959i \(0.0989769\pi\)
\(150\) 35.5813 20.5429i 2.90520 1.67732i
\(151\) −1.25597 1.72869i −0.102209 0.140679i 0.754849 0.655899i \(-0.227710\pi\)
−0.857058 + 0.515220i \(0.827710\pi\)
\(152\) −0.0861318 + 0.0183079i −0.00698621 + 0.00148497i
\(153\) −8.38512 1.78231i −0.677897 0.144091i
\(154\) −10.2507 5.91826i −0.826028 0.476907i
\(155\) −18.6905 + 6.62105i −1.50125 + 0.531816i
\(156\) −18.2307 11.3927i −1.45963 0.912144i
\(157\) −2.28732 7.03965i −0.182548 0.561825i 0.817350 0.576142i \(-0.195443\pi\)
−0.999898 + 0.0143172i \(0.995443\pi\)
\(158\) −17.5554 + 15.8070i −1.39663 + 1.25753i
\(159\) −0.0971745 0.924554i −0.00770644 0.0733219i
\(160\) 14.4276 + 24.9893i 1.14060 + 1.97557i
\(161\) 32.9766i 2.59892i
\(162\) −5.69002 + 12.7800i −0.447051 + 1.00409i
\(163\) −2.61419 0.274763i −0.204759 0.0215211i 0.00159339 0.999999i \(-0.499493\pi\)
−0.206353 + 0.978478i \(0.566159\pi\)
\(164\) 4.27554 5.88477i 0.333863 0.459523i
\(165\) 9.62793 10.6929i 0.749533 0.832441i
\(166\) −2.37291 22.5768i −0.184174 1.75230i
\(167\) −1.11918 + 5.26535i −0.0866051 + 0.407445i 0.913395 + 0.407075i \(0.133451\pi\)
−1.00000 0.000370203i \(0.999882\pi\)
\(168\) 1.89796 5.84133i 0.146431 0.450668i
\(169\) 2.25828 12.8024i 0.173713 0.984796i
\(170\) 5.40663 16.6399i 0.414670 1.27622i
\(171\) 0.360837 0.324899i 0.0275939 0.0248457i
\(172\) −19.6748 + 8.75980i −1.50019 + 0.667929i
\(173\) −8.76786 + 1.86367i −0.666608 + 0.141692i −0.528773 0.848763i \(-0.677348\pi\)
−0.137835 + 0.990455i \(0.544014\pi\)
\(174\) 36.7483 11.9403i 2.78588 0.905189i
\(175\) −11.3421 + 25.4747i −0.857379 + 1.92570i
\(176\) 3.81094 + 3.43138i 0.287260 + 0.258650i
\(177\) −0.954863 + 1.31426i −0.0717719 + 0.0987855i
\(178\) 2.11109 20.0857i 0.158233 1.50549i
\(179\) −1.92786 18.3423i −0.144095 1.37097i −0.792592 0.609753i \(-0.791269\pi\)
0.648497 0.761217i \(-0.275398\pi\)
\(180\) 25.8998 + 14.9532i 1.93046 + 1.11455i
\(181\) −19.1300 −1.42192 −0.710960 0.703233i \(-0.751739\pi\)
−0.710960 + 0.703233i \(0.751739\pi\)
\(182\) 27.1223 1.89567i 2.01044 0.140517i
\(183\) 11.7375 36.1245i 0.867665 2.67040i
\(184\) 1.24191 5.84272i 0.0915548 0.430731i
\(185\) −2.84653 + 4.93033i −0.209281 + 0.362485i
\(186\) −22.6429 19.3344i −1.66026 1.41766i
\(187\) 3.71178i 0.271432i
\(188\) 10.2217 + 9.20362i 0.745491 + 0.671243i
\(189\) 1.21439 + 5.71327i 0.0883341 + 0.415579i
\(190\) 0.582500 + 0.801742i 0.0422590 + 0.0581645i
\(191\) −9.34638 16.1884i −0.676280 1.17135i −0.976093 0.217354i \(-0.930258\pi\)
0.299813 0.953998i \(-0.403076\pi\)
\(192\) −13.2553 + 22.9588i −0.956618 + 1.65691i
\(193\) 7.26488 0.763570i 0.522937 0.0549629i 0.160617 0.987017i \(-0.448651\pi\)
0.362320 + 0.932054i \(0.381985\pi\)
\(194\) −22.0110 15.9920i −1.58030 1.14816i
\(195\) −4.60087 + 32.7290i −0.329475 + 2.34377i
\(196\) 4.41908 + 13.6005i 0.315649 + 0.971467i
\(197\) 10.2913 1.08166i 0.733225 0.0770651i 0.269446 0.963016i \(-0.413160\pi\)
0.463780 + 0.885950i \(0.346493\pi\)
\(198\) 11.5641 + 2.45803i 0.821827 + 0.174685i
\(199\) 3.42773 0.728586i 0.242985 0.0516481i −0.0848091 0.996397i \(-0.527028\pi\)
0.327794 + 0.944749i \(0.393695\pi\)
\(200\) −2.96895 + 4.08641i −0.209936 + 0.288953i
\(201\) −2.29804 10.8114i −0.162092 0.762581i
\(202\) 4.09073 + 19.2454i 0.287823 + 1.35410i
\(203\) −15.4148 + 21.2166i −1.08191 + 1.48911i
\(204\) 13.7910 2.93137i 0.965565 0.205237i
\(205\) −10.9387 2.32509i −0.763991 0.162391i
\(206\) −18.3030 + 1.92372i −1.27523 + 0.134032i
\(207\) 10.1782 + 31.3253i 0.707435 + 2.17726i
\(208\) −11.6646 1.63975i −0.808794 0.113696i
\(209\) 0.170088 + 0.123576i 0.0117652 + 0.00854793i
\(210\) −68.7444 + 7.22533i −4.74382 + 0.498595i
\(211\) 3.02316 5.23627i 0.208123 0.360480i −0.743000 0.669291i \(-0.766598\pi\)
0.951123 + 0.308812i \(0.0999312\pi\)
\(212\) 0.418320 + 0.724552i 0.0287304 + 0.0497624i
\(213\) −12.0401 16.5718i −0.824974 1.13548i
\(214\) 3.20185 + 15.0635i 0.218874 + 1.02972i
\(215\) 24.6061 + 22.1555i 1.67813 + 1.51099i
\(216\) 1.05800i 0.0719879i
\(217\) 20.1462 + 1.58322i 1.36762 + 0.107476i
\(218\) −13.9199 + 24.1100i −0.942774 + 1.63293i
\(219\) −4.64731 + 21.8639i −0.314036 + 1.47743i
\(220\) −4.00152 + 12.3154i −0.269783 + 0.830306i
\(221\) 4.76742 + 7.06849i 0.320691 + 0.475478i
\(222\) −8.54866 −0.573748
\(223\) −1.34946 0.779110i −0.0903664 0.0521731i 0.454136 0.890932i \(-0.349948\pi\)
−0.544502 + 0.838759i \(0.683281\pi\)
\(224\) −3.07395 29.2467i −0.205387 1.95413i
\(225\) 2.91137 27.6998i 0.194091 1.84665i
\(226\) 7.69914 10.5970i 0.512139 0.704899i
\(227\) −15.9677 14.3774i −1.05981 0.954258i −0.0607751 0.998151i \(-0.519357\pi\)
−0.999036 + 0.0438931i \(0.986024\pi\)
\(228\) −0.324817 + 0.729550i −0.0215115 + 0.0483156i
\(229\) 6.58091 2.13827i 0.434879 0.141301i −0.0833927 0.996517i \(-0.526576\pi\)
0.518272 + 0.855216i \(0.326576\pi\)
\(230\) −65.7556 + 13.9768i −4.33580 + 0.921603i
\(231\) −13.3965 + 5.96451i −0.881426 + 0.392436i
\(232\) −3.53019 + 3.17859i −0.231768 + 0.208685i
\(233\) 7.82378 24.0791i 0.512553 1.57748i −0.275138 0.961405i \(-0.588724\pi\)
0.787691 0.616070i \(-0.211276\pi\)
\(234\) −25.1791 + 10.1720i −1.64601 + 0.664967i
\(235\) 6.53460 20.1114i 0.426271 1.31193i
\(236\) 0.303964 1.43004i 0.0197864 0.0930876i
\(237\) 3.05921 + 29.1064i 0.198717 + 1.89067i
\(238\) −11.9315 + 13.2513i −0.773404 + 0.858952i
\(239\) 12.1802 16.7646i 0.787873 1.08441i −0.206496 0.978447i \(-0.566206\pi\)
0.994370 0.105967i \(-0.0337939\pi\)
\(240\) 29.7832 + 3.13034i 1.92250 + 0.202063i
\(241\) 9.13519 20.5180i 0.588449 1.32168i −0.336534 0.941671i \(-0.609255\pi\)
0.924983 0.380007i \(-0.124079\pi\)
\(242\) 17.7346i 1.14003i
\(243\) 11.0797 + 19.1906i 0.710763 + 1.23108i
\(244\) 3.57315 + 33.9962i 0.228747 + 2.17638i
\(245\) 16.3385 14.7113i 1.04383 0.939868i
\(246\) −5.18915 15.9706i −0.330848 1.01825i
\(247\) −0.482626 0.0168697i −0.0307087 0.00107339i
\(248\) 3.50985 + 1.03923i 0.222875 + 0.0659909i
\(249\) −24.3565 14.0622i −1.54353 0.891159i
\(250\) 19.4174 + 4.12730i 1.22807 + 0.261033i
\(251\) 8.57442 1.82255i 0.541212 0.115038i 0.0708092 0.997490i \(-0.477442\pi\)
0.470403 + 0.882452i \(0.344109\pi\)
\(252\) −17.9153 24.6583i −1.12856 1.55333i
\(253\) −12.3509 + 7.13078i −0.776493 + 0.448308i
\(254\) −10.6160 + 6.12913i −0.666105 + 0.384576i
\(255\) −12.7409 17.5363i −0.797866 1.09817i
\(256\) −1.02529 + 9.75499i −0.0640807 + 0.609687i
\(257\) 8.06781 3.59202i 0.503256 0.224064i −0.139375 0.990240i \(-0.544509\pi\)
0.642631 + 0.766176i \(0.277843\pi\)
\(258\) −10.3372 + 48.6326i −0.643564 + 3.02773i
\(259\) 4.69400 3.41039i 0.291671 0.211911i
\(260\) −8.19768 28.5923i −0.508399 1.77322i
\(261\) 8.09440 24.9120i 0.501031 1.54201i
\(262\) −5.51756 12.3927i −0.340876 0.765621i
\(263\) 18.1665 + 20.1760i 1.12020 + 1.24410i 0.966689 + 0.255955i \(0.0823899\pi\)
0.153507 + 0.988148i \(0.450943\pi\)
\(264\) −2.59819 + 0.552263i −0.159908 + 0.0339894i
\(265\) 0.756043 1.04060i 0.0464434 0.0639238i
\(266\) −0.209988 0.987918i −0.0128752 0.0605732i
\(267\) −18.5945 16.7425i −1.13796 1.02463i
\(268\) 5.84681 + 8.04745i 0.357151 + 0.491576i
\(269\) −14.7002 + 16.3262i −0.896285 + 0.995425i 0.103715 + 0.994607i \(0.466927\pi\)
−1.00000 0.000818156i \(0.999740\pi\)
\(270\) 10.8776 4.84303i 0.661991 0.294737i
\(271\) 11.5358 + 25.9098i 0.700749 + 1.57391i 0.814345 + 0.580381i \(0.197096\pi\)
−0.113596 + 0.993527i \(0.536237\pi\)
\(272\) 6.24994 4.54084i 0.378958 0.275329i
\(273\) 17.8507 28.5649i 1.08037 1.72883i
\(274\) 23.0949 1.39522
\(275\) 11.9937 1.26059i 0.723249 0.0760166i
\(276\) −36.2483 40.2578i −2.18189 2.42324i
\(277\) −9.65526 + 10.7232i −0.580128 + 0.644298i −0.959754 0.280843i \(-0.909386\pi\)
0.379626 + 0.925140i \(0.376053\pi\)
\(278\) 1.27981i 0.0767581i
\(279\) −19.6261 + 4.71420i −1.17498 + 0.282232i
\(280\) 7.35947 4.24899i 0.439812 0.253926i
\(281\) −17.8784 + 5.80905i −1.06654 + 0.346539i −0.789138 0.614216i \(-0.789472\pi\)
−0.277399 + 0.960755i \(0.589472\pi\)
\(282\) 31.0595 6.60189i 1.84956 0.393137i
\(283\) 1.00991 + 9.60865i 0.0600329 + 0.571175i 0.982652 + 0.185462i \(0.0593780\pi\)
−0.922619 + 0.385714i \(0.873955\pi\)
\(284\) 15.9648 + 9.21727i 0.947336 + 0.546944i
\(285\) 1.22776 0.0727263
\(286\) −6.57486 9.74833i −0.388780 0.576431i
\(287\) 9.22058 + 6.69914i 0.544274 + 0.395438i
\(288\) 11.9470 + 26.8335i 0.703985 + 1.58118i
\(289\) 11.1590 + 2.37192i 0.656413 + 0.139525i
\(290\) 48.8396 + 21.7448i 2.86796 + 1.27690i
\(291\) −32.0573 + 10.4160i −1.87923 + 0.610599i
\(292\) −4.18238 19.6765i −0.244755 1.15148i
\(293\) 2.05803 + 0.216308i 0.120231 + 0.0126368i 0.164453 0.986385i \(-0.447414\pi\)
−0.0442216 + 0.999022i \(0.514081\pi\)
\(294\) 31.3977 + 10.2017i 1.83115 + 0.594977i
\(295\) −2.19855 + 0.467317i −0.128005 + 0.0272082i
\(296\) 0.960109 0.427468i 0.0558052 0.0248461i
\(297\) 1.87722 1.69026i 0.108927 0.0980787i
\(298\) 10.5251 + 32.3928i 0.609700 + 1.87646i
\(299\) 14.3615 29.4429i 0.830545 1.70273i
\(300\) 14.1557 + 43.5668i 0.817281 + 2.51533i
\(301\) −13.7253 30.8276i −0.791115 1.77687i
\(302\) 4.05557 1.80566i 0.233372 0.103904i
\(303\) 22.2684 + 9.91453i 1.27929 + 0.569575i
\(304\) 0.437573i 0.0250965i
\(305\) 45.5130 26.2770i 2.60607 1.50461i
\(306\) 7.24405 16.2704i 0.414115 0.930117i
\(307\) −29.5446 9.59962i −1.68620 0.547879i −0.700100 0.714044i \(-0.746861\pi\)
−0.986098 + 0.166165i \(0.946861\pi\)
\(308\) 8.83067 9.80745i 0.503174 0.558831i
\(309\) −11.4003 + 19.7459i −0.648539 + 1.12330i
\(310\) −5.38183 40.8428i −0.305668 2.31972i
\(311\) −12.9594 −0.734858 −0.367429 0.930051i \(-0.619762\pi\)
−0.367429 + 0.930051i \(0.619762\pi\)
\(312\) 4.23851 4.38882i 0.239958 0.248468i
\(313\) 1.24264 3.82446i 0.0702383 0.216171i −0.909776 0.415101i \(-0.863746\pi\)
0.980014 + 0.198929i \(0.0637464\pi\)
\(314\) 15.2940 1.60747i 0.863092 0.0907146i
\(315\) −23.4296 + 40.5812i −1.32011 + 2.28649i
\(316\) −13.1694 22.8101i −0.740836 1.28317i
\(317\) 5.41126 + 7.44796i 0.303926 + 0.418319i 0.933475 0.358642i \(-0.116760\pi\)
−0.629549 + 0.776961i \(0.716760\pi\)
\(318\) 1.92086 + 0.201890i 0.107716 + 0.0113214i
\(319\) 11.2796 + 1.18554i 0.631537 + 0.0663773i
\(320\) −34.8848 + 11.3347i −1.95012 + 0.633632i
\(321\) 17.4297 + 7.76019i 0.972829 + 0.433131i
\(322\) 67.0151 + 14.2445i 3.73461 + 0.793815i
\(323\) 0.235368 0.211927i 0.0130963 0.0117919i
\(324\) −12.6188 9.16807i −0.701042 0.509337i
\(325\) −21.2210 + 17.8053i −1.17713 + 0.987663i
\(326\) 1.68760 5.19389i 0.0934673 0.287663i
\(327\) 14.0287 + 31.5089i 0.775787 + 1.74245i
\(328\) 1.38139 + 1.53419i 0.0762746 + 0.0847116i
\(329\) −14.4207 + 16.0158i −0.795041 + 0.882982i
\(330\) 17.5713 + 24.1848i 0.967267 + 1.33133i
\(331\) 0.244757 + 0.220380i 0.0134531 + 0.0121132i 0.675830 0.737058i \(-0.263785\pi\)
−0.662377 + 0.749171i \(0.730452\pi\)
\(332\) 25.1721 + 2.64570i 1.38150 + 0.145202i
\(333\) −3.40634 + 4.68842i −0.186666 + 0.256924i
\(334\) −10.2168 4.54882i −0.559040 0.248901i
\(335\) 7.64645 13.2440i 0.417770 0.723599i
\(336\) −26.4318 15.2604i −1.44198 0.832525i
\(337\) 8.06390 5.85876i 0.439268 0.319147i −0.346076 0.938207i \(-0.612486\pi\)
0.785344 + 0.619059i \(0.212486\pi\)
\(338\) 25.0415 + 10.1194i 1.36208 + 0.550421i
\(339\) −5.01468 15.4336i −0.272360 0.838237i
\(340\) 16.8940 + 9.75377i 0.916207 + 0.528972i
\(341\) −3.76341 7.88782i −0.203800 0.427149i
\(342\) 0.504395 + 0.873637i 0.0272745 + 0.0472409i
\(343\) 2.85312 0.927034i 0.154054 0.0500551i
\(344\) −1.27085 5.97888i −0.0685196 0.322360i
\(345\) −33.8750 + 76.0845i −1.82377 + 4.09625i
\(346\) 18.6231i 1.00118i
\(347\) −2.70560 4.68624i −0.145244 0.251570i 0.784220 0.620483i \(-0.213063\pi\)
−0.929464 + 0.368913i \(0.879730\pi\)
\(348\) 4.50323 + 42.8454i 0.241399 + 2.29675i
\(349\) −6.11890 13.7433i −0.327537 0.735660i 0.672453 0.740140i \(-0.265241\pi\)
−0.999990 + 0.00447972i \(0.998574\pi\)
\(350\) −46.8704 34.0534i −2.50533 1.82023i
\(351\) −1.40390 + 5.62993i −0.0749345 + 0.300503i
\(352\) −10.2892 + 7.47554i −0.548416 + 0.398448i
\(353\) 6.42677 30.2356i 0.342062 1.60928i −0.385143 0.922857i \(-0.625848\pi\)
0.727205 0.686420i \(-0.240819\pi\)
\(354\) −2.25838 2.50818i −0.120031 0.133308i
\(355\) 2.96248 28.1862i 0.157232 1.49597i
\(356\) 21.4160 + 6.95847i 1.13504 + 0.368798i
\(357\) 4.59304 + 21.6085i 0.243089 + 1.14365i
\(358\) 38.1081 + 4.00532i 2.01408 + 0.211688i
\(359\) 7.97193 + 2.59024i 0.420742 + 0.136707i 0.511733 0.859144i \(-0.329004\pi\)
−0.0909913 + 0.995852i \(0.529004\pi\)
\(360\) −5.67951 + 6.30773i −0.299336 + 0.332447i
\(361\) −1.98417 18.8781i −0.104430 0.993583i
\(362\) 8.26335 38.8760i 0.434312 2.04328i
\(363\) −17.7753 12.9145i −0.932962 0.677836i
\(364\) −4.21989 + 30.0188i −0.221182 + 1.57341i
\(365\) −25.0202 + 18.1783i −1.30962 + 0.951493i
\(366\) 68.3421 + 39.4574i 3.57230 + 2.06247i
\(367\) −9.84737 + 17.0561i −0.514029 + 0.890324i 0.485839 + 0.874048i \(0.338514\pi\)
−0.999868 + 0.0162754i \(0.994819\pi\)
\(368\) −27.1164 12.0730i −1.41354 0.629349i
\(369\) −10.8266 3.51777i −0.563609 0.183128i
\(370\) −8.78985 7.91442i −0.456963 0.411451i
\(371\) −1.13527 + 0.655447i −0.0589402 + 0.0340291i
\(372\) 26.3348 20.2122i 1.36540 1.04796i
\(373\) 8.43398 + 14.6081i 0.436695 + 0.756378i 0.997432 0.0716161i \(-0.0228156\pi\)
−0.560737 + 0.827994i \(0.689482\pi\)
\(374\) 7.54310 + 1.60334i 0.390044 + 0.0829065i
\(375\) 18.2767 16.4564i 0.943804 0.849805i
\(376\) −3.15820 + 2.29457i −0.162872 + 0.118333i
\(377\) −23.0029 + 12.2299i −1.18471 + 0.629871i
\(378\) −12.1351 −0.624162
\(379\) −9.52628 + 1.00125i −0.489332 + 0.0514309i −0.345982 0.938241i \(-0.612454\pi\)
−0.143350 + 0.989672i \(0.545788\pi\)
\(380\) −1.00940 + 0.449416i −0.0517814 + 0.0230546i
\(381\) −1.58745 + 15.1036i −0.0813277 + 0.773781i
\(382\) 36.9354 12.0010i 1.88978 0.614026i
\(383\) −3.61210 + 8.11291i −0.184570 + 0.414550i −0.982005 0.188854i \(-0.939523\pi\)
0.797436 + 0.603404i \(0.206189\pi\)
\(384\) −9.93456 8.94512i −0.506971 0.456479i
\(385\) −19.2965 6.26981i −0.983440 0.319539i
\(386\) −1.58640 + 15.0935i −0.0807454 + 0.768241i
\(387\) 22.5530 + 25.0477i 1.14643 + 1.27324i
\(388\) 22.5432 20.2980i 1.14446 1.03047i
\(389\) 3.85534 + 2.80107i 0.195474 + 0.142020i 0.681217 0.732082i \(-0.261451\pi\)
−0.485743 + 0.874101i \(0.661451\pi\)
\(390\) −64.5246 23.4875i −3.26733 1.18933i
\(391\) 6.63910 + 20.4330i 0.335753 + 1.03334i
\(392\) −4.03644 + 0.424247i −0.203871 + 0.0214277i
\(393\) −16.4390 3.49422i −0.829238 0.176260i
\(394\) −2.24726 + 21.3813i −0.113215 + 1.07717i
\(395\) −23.8015 + 32.7599i −1.19758 + 1.64833i
\(396\) −5.36142 + 12.0420i −0.269422 + 0.605131i
\(397\) −26.5766 + 15.3440i −1.33384 + 0.770093i −0.985886 0.167418i \(-0.946457\pi\)
−0.347954 + 0.937511i \(0.613124\pi\)
\(398\) 7.28056i 0.364942i
\(399\) −1.14310 0.508941i −0.0572265 0.0254789i
\(400\) 16.7952 + 18.6530i 0.839762 + 0.932650i
\(401\) −0.832780 + 3.91792i −0.0415871 + 0.195652i −0.994037 0.109043i \(-0.965221\pi\)
0.952450 + 0.304695i \(0.0985546\pi\)
\(402\) 22.9637 1.14533
\(403\) 17.2979 + 10.1873i 0.861671 + 0.507468i
\(404\) −21.9371 −1.09141
\(405\) −4.98571 + 23.4559i −0.247742 + 1.16553i
\(406\) −36.4580 40.4907i −1.80938 2.00952i
\(407\) −2.29233 1.02061i −0.113626 0.0505898i
\(408\) 4.00153i 0.198105i
\(409\) 14.7575 8.52026i 0.729713 0.421300i −0.0886043 0.996067i \(-0.528241\pi\)
0.818317 + 0.574767i \(0.194907\pi\)
\(410\) 9.45012 21.2253i 0.466708 1.04824i
\(411\) 16.8179 23.1479i 0.829567 1.14180i
\(412\) 2.14487 20.4071i 0.105670 1.00538i
\(413\) 2.24066 + 0.476268i 0.110256 + 0.0234356i
\(414\) −68.0560 + 7.15298i −3.34477 + 0.351550i
\(415\) −12.0248 37.0085i −0.590273 1.81667i
\(416\) 9.99253 27.4514i 0.489924 1.34592i
\(417\) 1.28275 + 0.931971i 0.0628164 + 0.0456388i
\(418\) −0.324602 + 0.292273i −0.0158768 + 0.0142956i
\(419\) 18.7891 + 20.8674i 0.917907 + 1.01944i 0.999740 + 0.0227931i \(0.00725589\pi\)
−0.0818331 + 0.996646i \(0.526077\pi\)
\(420\) 8.05594 76.6471i 0.393089 3.74000i
\(421\) −22.0454 7.16298i −1.07443 0.349102i −0.282216 0.959351i \(-0.591070\pi\)
−0.792210 + 0.610248i \(0.791070\pi\)
\(422\) 9.33529 + 8.40553i 0.454435 + 0.409175i
\(423\) 8.75536 19.6649i 0.425700 0.956138i
\(424\) −0.225829 + 0.0733763i −0.0109672 + 0.00356347i
\(425\) 1.89904 18.0682i 0.0921170 0.876434i
\(426\) 38.8780 17.3096i 1.88365 0.838654i
\(427\) −53.2671 + 5.59860i −2.57778 + 0.270935i
\(428\) −17.1704 −0.829962
\(429\) −14.5585 0.508879i −0.702893 0.0245689i
\(430\) −55.6533 + 40.4345i −2.68384 + 1.94992i
\(431\) 9.14097 8.23057i 0.440305 0.396453i −0.418942 0.908013i \(-0.637599\pi\)
0.859247 + 0.511560i \(0.170932\pi\)
\(432\) 5.14259 + 1.09309i 0.247423 + 0.0525914i
\(433\) 7.39298 + 12.8050i 0.355284 + 0.615370i 0.987166 0.159694i \(-0.0510509\pi\)
−0.631883 + 0.775064i \(0.717718\pi\)
\(434\) −11.9198 + 40.2574i −0.572166 + 1.93242i
\(435\) 57.3600 33.1168i 2.75020 1.58783i
\(436\) −23.0673 20.7699i −1.10473 0.994699i
\(437\) −1.15735 0.376047i −0.0553637 0.0179887i
\(438\) −42.4245 18.8886i −2.02712 0.902531i
\(439\) −7.57117 + 13.1136i −0.361352 + 0.625880i −0.988184 0.153275i \(-0.951018\pi\)
0.626831 + 0.779155i \(0.284351\pi\)
\(440\) −3.18279 1.83758i −0.151734 0.0876034i
\(441\) 18.1059 13.1547i 0.862186 0.626415i
\(442\) −16.4239 + 6.63507i −0.781207 + 0.315598i
\(443\) 4.53419 + 3.29428i 0.215426 + 0.156516i 0.690265 0.723556i \(-0.257494\pi\)
−0.474839 + 0.880072i \(0.657494\pi\)
\(444\) 1.98169 9.32311i 0.0940467 0.442455i
\(445\) −3.61872 34.4298i −0.171544 1.63213i
\(446\) 2.16622 2.40583i 0.102574 0.113919i
\(447\) 40.1315 + 13.0395i 1.89816 + 0.616748i
\(448\) 37.1778 + 3.90754i 1.75648 + 0.184614i
\(449\) 3.25242 + 15.3014i 0.153491 + 0.722119i 0.985816 + 0.167830i \(0.0536761\pi\)
−0.832325 + 0.554288i \(0.812991\pi\)
\(450\) 55.0341 + 17.8817i 2.59433 + 0.842949i
\(451\) 0.515225 4.90204i 0.0242610 0.230828i
\(452\) 9.77220 + 10.8531i 0.459646 + 0.510488i
\(453\) 1.14350 5.37977i 0.0537265 0.252763i
\(454\) 36.1151 26.2391i 1.69496 1.23146i
\(455\) 44.8000 12.8446i 2.10025 0.602163i
\(456\) −0.183365 0.133223i −0.00858686 0.00623872i
\(457\) −1.06954 2.40223i −0.0500310 0.112371i 0.886801 0.462152i \(-0.152923\pi\)
−0.936832 + 0.349781i \(0.886256\pi\)
\(458\) 1.50272 + 14.2974i 0.0702174 + 0.668074i
\(459\) −1.90271 3.29558i −0.0888107 0.153825i
\(460\) 74.9526i 3.49469i
\(461\) −10.8345 + 24.3347i −0.504614 + 1.13338i 0.464231 + 0.885714i \(0.346331\pi\)
−0.968845 + 0.247667i \(0.920336\pi\)
\(462\) −6.33437 29.8009i −0.294701 1.38646i
\(463\) 6.71376 2.18143i 0.312015 0.101380i −0.148824 0.988864i \(-0.547549\pi\)
0.460839 + 0.887484i \(0.347549\pi\)
\(464\) 11.8028 + 20.4431i 0.547932 + 0.949046i
\(465\) −44.8556 24.3479i −2.08013 1.12911i
\(466\) 45.5541 + 26.3007i 2.11025 + 1.21836i
\(467\) −2.67708 8.23919i −0.123880 0.381264i 0.869815 0.493378i \(-0.164238\pi\)
−0.993695 + 0.112114i \(0.964238\pi\)
\(468\) −5.25673 29.8182i −0.242992 1.37835i
\(469\) −12.6092 + 9.16111i −0.582238 + 0.423021i
\(470\) 38.0479 + 21.9669i 1.75502 + 1.01326i
\(471\) 9.52609 16.4997i 0.438939 0.760265i
\(472\) 0.379060 + 0.168768i 0.0174476 + 0.00776819i
\(473\) −8.57808 + 11.8067i −0.394421 + 0.542873i
\(474\) −60.4717 6.35583i −2.77756 0.291933i
\(475\) 0.764726 + 0.688562i 0.0350880 + 0.0315934i
\(476\) −11.6859 16.0842i −0.535621 0.737219i
\(477\) 0.876118 0.973027i 0.0401147 0.0445519i
\(478\) 28.8078 + 31.9943i 1.31764 + 1.46339i
\(479\) 9.44881 + 21.2224i 0.431727 + 0.969675i 0.990136 + 0.140109i \(0.0447454\pi\)
−0.558409 + 0.829566i \(0.688588\pi\)
\(480\) −22.9512 + 70.6365i −1.04757 + 3.22410i
\(481\) 5.67624 1.00068i 0.258814 0.0456271i
\(482\) 37.7507 + 27.4275i 1.71950 + 1.24929i
\(483\) 63.0781 56.7958i 2.87016 2.58430i
\(484\) 19.3413 + 4.11112i 0.879149 + 0.186869i
\(485\) −42.6050 18.9690i −1.93459 0.861337i
\(486\) −43.7852 + 14.2267i −1.98614 + 0.645335i
\(487\) −28.6584 3.01212i −1.29864 0.136492i −0.570143 0.821545i \(-0.693112\pi\)
−0.728493 + 0.685053i \(0.759779\pi\)
\(488\) −9.64861 1.01411i −0.436772 0.0459066i
\(489\) −3.97688 5.47370i −0.179841 0.247529i
\(490\) 22.8387 + 39.5578i 1.03175 + 1.78704i
\(491\) −14.9865 + 25.9575i −0.676333 + 1.17144i 0.299744 + 0.954020i \(0.403099\pi\)
−0.976077 + 0.217424i \(0.930235\pi\)
\(492\) 18.6203 1.95707i 0.839467 0.0882316i
\(493\) 5.27985 16.2497i 0.237793 0.731851i
\(494\) 0.242757 0.973506i 0.0109221 0.0438001i
\(495\) 20.2654 0.910863
\(496\) 8.67758 15.9865i 0.389635 0.717815i
\(497\) −14.4421 + 25.0145i −0.647818 + 1.12205i
\(498\) 39.0984 43.4231i 1.75204 1.94584i
\(499\) 25.4502 + 8.26928i 1.13931 + 0.370184i 0.817106 0.576487i \(-0.195577\pi\)
0.322202 + 0.946671i \(0.395577\pi\)
\(500\) −9.00241 + 20.2197i −0.402600 + 0.904254i
\(501\) −11.9992 + 6.92776i −0.536086 + 0.309510i
\(502\) 18.2122i 0.812851i
\(503\) −26.8076 11.9355i −1.19529 0.532177i −0.290023 0.957020i \(-0.593663\pi\)
−0.905267 + 0.424842i \(0.860330\pi\)
\(504\) 7.90259 3.51846i 0.352009 0.156725i
\(505\) 13.7177 + 30.8105i 0.610431 + 1.37105i
\(506\) −9.15614 28.1797i −0.407040 1.25274i
\(507\) 28.3780 17.7299i 1.26031 0.787414i
\(508\) −4.22347 12.9985i −0.187386 0.576716i
\(509\) −13.2701 + 11.9484i −0.588187 + 0.529606i −0.908597 0.417673i \(-0.862846\pi\)
0.320411 + 0.947279i \(0.396179\pi\)
\(510\) 41.1410 18.3171i 1.82175 0.811096i
\(511\) 30.8303 6.55318i 1.36385 0.289896i
\(512\) −29.2602 9.50722i −1.29313 0.420164i
\(513\) 0.214362 + 0.0225304i 0.00946433 + 0.000994741i
\(514\) 3.81476 + 17.9470i 0.168262 + 0.791610i
\(515\) −30.0028 + 9.74851i −1.32208 + 0.429570i
\(516\) −50.6421 22.5473i −2.22939 0.992589i
\(517\) 9.11680 + 1.93784i 0.400956 + 0.0852259i
\(518\) 4.90299 + 11.0123i 0.215425 + 0.483853i
\(519\) −18.6658 13.5615i −0.819338 0.595284i
\(520\) 8.42130 0.588594i 0.369299 0.0258116i
\(521\) 3.51340 0.153925 0.0769625 0.997034i \(-0.475478\pi\)
0.0769625 + 0.997034i \(0.475478\pi\)
\(522\) 47.1298 + 27.2104i 2.06282 + 1.19097i
\(523\) 0.848527 + 8.07320i 0.0371035 + 0.353016i 0.997285 + 0.0736391i \(0.0234613\pi\)
−0.960181 + 0.279377i \(0.909872\pi\)
\(524\) 14.7944 3.14464i 0.646296 0.137374i
\(525\) −68.2629 + 22.1800i −2.97924 + 0.968013i
\(526\) −48.8488 + 28.2029i −2.12991 + 1.22970i
\(527\) −12.8018 + 3.07500i −0.557656 + 0.133949i
\(528\) 13.1995i 0.574436i
\(529\) 39.8460 44.2534i 1.73243 1.92406i
\(530\) 1.78814 + 1.98593i 0.0776719 + 0.0862634i
\(531\) −2.27547 + 0.239161i −0.0987469 + 0.0103787i
\(532\) 1.12609 0.0488224
\(533\) 5.31502 + 9.99689i 0.230219 + 0.433013i
\(534\) 42.0563 30.5557i 1.81995 1.32227i
\(535\) 10.7370 + 24.1157i 0.464200 + 1.04261i
\(536\) −2.57908 + 1.14828i −0.111399 + 0.0495982i
\(537\) 31.7652 35.2788i 1.37077 1.52239i
\(538\) −26.8283 36.9260i −1.15665 1.59199i
\(539\) 7.20135 + 6.48412i 0.310184 + 0.279291i
\(540\) 2.76020 + 12.9857i 0.118780 + 0.558817i
\(541\) 19.6765 27.0824i 0.845959 1.16436i −0.138779 0.990323i \(-0.544318\pi\)
0.984739 0.174040i \(-0.0556822\pi\)
\(542\) −57.6370 + 12.2511i −2.47572 + 0.526231i
\(543\) −32.9477 36.5921i −1.41392 1.57032i
\(544\) 7.79286 + 17.5030i 0.334116 + 0.750437i
\(545\) −14.7467 + 45.3857i −0.631680 + 1.94411i
\(546\) 50.3390 + 48.6151i 2.15431 + 2.08053i
\(547\) −8.03579 + 5.83834i −0.343585 + 0.249629i −0.746173 0.665752i \(-0.768111\pi\)
0.402588 + 0.915381i \(0.368111\pi\)
\(548\) −5.35370 + 25.1872i −0.228699 + 1.07594i
\(549\) 48.8719 21.7592i 2.08580 0.928659i
\(550\) −2.61901 + 24.9182i −0.111675 + 1.06252i
\(551\) 0.568841 + 0.782943i 0.0242334 + 0.0333545i
\(552\) 13.3150 7.68743i 0.566725 0.327199i
\(553\) 35.7401 20.6345i 1.51982 0.877469i
\(554\) −17.6212 24.2534i −0.748651 1.03043i
\(555\) −14.3334 + 3.04666i −0.608420 + 0.129324i
\(556\) −1.39576 0.296677i −0.0591932 0.0125819i
\(557\) −1.09198 0.630453i −0.0462685 0.0267132i 0.476687 0.879073i \(-0.341837\pi\)
−0.522956 + 0.852360i \(0.675171\pi\)
\(558\) −1.10254 41.9206i −0.0466744 1.77464i
\(559\) 1.17102 33.5017i 0.0495287 1.41697i
\(560\) −13.0494 40.1618i −0.551436 1.69715i
\(561\) 7.09996 6.39284i 0.299761 0.269906i
\(562\) −4.08244 38.8419i −0.172207 1.63844i
\(563\) −17.0693 29.5649i −0.719386 1.24601i −0.961243 0.275702i \(-0.911090\pi\)
0.241857 0.970312i \(-0.422244\pi\)
\(564\) 35.4036i 1.49076i
\(565\) 9.13238 20.5117i 0.384202 0.862932i
\(566\) −19.9630 2.09819i −0.839107 0.0881937i
\(567\) 14.3650 19.7718i 0.603275 0.830336i
\(568\) −3.50088 + 3.88812i −0.146894 + 0.163142i
\(569\) −1.11906 10.6472i −0.0469136 0.446353i −0.992614 0.121314i \(-0.961289\pi\)
0.945701 0.325039i \(-0.105378\pi\)
\(570\) −0.530342 + 2.49506i −0.0222136 + 0.104507i
\(571\) −7.95251 + 24.4753i −0.332802 + 1.02426i 0.634993 + 0.772518i \(0.281003\pi\)
−0.967795 + 0.251741i \(0.918997\pi\)
\(572\) 12.1556 4.91071i 0.508251 0.205327i
\(573\) 14.8681 45.7593i 0.621124 1.91162i
\(574\) −17.5969 + 15.8444i −0.734482 + 0.661330i
\(575\) −63.7697 + 28.3921i −2.65938 + 1.18403i
\(576\) −36.5222 + 7.76304i −1.52176 + 0.323460i
\(577\) −6.87640 + 2.23428i −0.286268 + 0.0930142i −0.448631 0.893717i \(-0.648088\pi\)
0.162363 + 0.986731i \(0.448088\pi\)
\(578\) −9.64047 + 21.6528i −0.400991 + 0.900639i
\(579\) 13.9729 + 12.5813i 0.580695 + 0.522860i
\(580\) −35.0363 + 48.2234i −1.45480 + 2.00237i
\(581\) −4.14543 + 39.4411i −0.171981 + 1.63629i
\(582\) −7.32011 69.6462i −0.303428 2.88693i
\(583\) 0.490976 + 0.283465i 0.0203341 + 0.0117399i
\(584\) 5.70924 0.236250
\(585\) −38.5922 + 26.0289i −1.59559 + 1.07616i
\(586\) −1.32857 + 4.08890i −0.0548825 + 0.168911i
\(587\) −4.60512 + 21.6654i −0.190073 + 0.894225i 0.774942 + 0.632032i \(0.217779\pi\)
−0.965015 + 0.262193i \(0.915554\pi\)
\(588\) −18.4043 + 31.8772i −0.758982 + 1.31459i
\(589\) 0.285301 0.689002i 0.0117556 0.0283898i
\(590\) 4.66977i 0.192251i
\(591\) 19.7938 + 17.8224i 0.814209 + 0.733117i
\(592\) −1.08583 5.10842i −0.0446272 0.209955i
\(593\) −4.22855 5.82010i −0.173646 0.239003i 0.713320 0.700839i \(-0.247191\pi\)
−0.886965 + 0.461836i \(0.847191\pi\)
\(594\) 2.62407 + 4.54502i 0.107667 + 0.186484i
\(595\) −15.2827 + 26.4705i −0.626531 + 1.08518i
\(596\) −37.7672 + 3.96949i −1.54701 + 0.162597i
\(597\) 7.29726 + 5.30177i 0.298657 + 0.216987i
\(598\) 53.6304 + 41.9035i 2.19311 + 1.71356i
\(599\) 6.52280 + 20.0751i 0.266514 + 0.820247i 0.991341 + 0.131315i \(0.0419200\pi\)
−0.724826 + 0.688932i \(0.758080\pi\)
\(600\) −12.9300 + 1.35900i −0.527865 + 0.0554808i
\(601\) −34.6397 7.36289i −1.41298 0.300338i −0.562697 0.826663i \(-0.690236\pi\)
−0.850284 + 0.526325i \(0.823570\pi\)
\(602\) 68.5768 14.5764i 2.79498 0.594092i
\(603\) 9.15023 12.5942i 0.372626 0.512876i
\(604\) 1.02910 + 4.84155i 0.0418736 + 0.197000i
\(605\) −6.32046 29.7354i −0.256963 1.20892i
\(606\) −29.7674 + 40.9713i −1.20922 + 1.66434i
\(607\) 34.3810 7.30790i 1.39548 0.296618i 0.552029 0.833825i \(-0.313854\pi\)
0.843451 + 0.537206i \(0.180520\pi\)
\(608\) −1.06150 0.225629i −0.0430496 0.00915047i
\(609\) −67.1325 + 7.05591i −2.72035 + 0.285920i
\(610\) 33.7404 + 103.842i 1.36611 + 4.20445i
\(611\) −19.8504 + 8.01933i −0.803062 + 0.324427i
\(612\) 16.0651 + 11.6720i 0.649394 + 0.471812i
\(613\) −19.9616 + 2.09805i −0.806240 + 0.0847393i −0.498677 0.866788i \(-0.666180\pi\)
−0.307564 + 0.951527i \(0.599514\pi\)
\(614\) 32.2704 55.8940i 1.30233 2.25570i
\(615\) −14.3923 24.9282i −0.580355 1.00520i
\(616\) 2.20159 + 3.03022i 0.0887044 + 0.122091i
\(617\) −7.79648 36.6795i −0.313874 1.47666i −0.798528 0.601957i \(-0.794388\pi\)
0.484654 0.874706i \(-0.338945\pi\)
\(618\) −35.2032 31.6971i −1.41608 1.27504i
\(619\) 8.32366i 0.334556i −0.985910 0.167278i \(-0.946502\pi\)
0.985910 0.167278i \(-0.0534978\pi\)
\(620\) 45.7905 + 3.59850i 1.83899 + 0.144519i
\(621\) −7.31065 + 12.6624i −0.293366 + 0.508125i
\(622\) 5.59791 26.3361i 0.224456 1.05598i
\(623\) −10.9029 + 33.5557i −0.436816 + 1.34438i
\(624\) −16.9535 25.1364i −0.678682 1.00626i
\(625\) −4.38695 −0.175478
\(626\) 7.23532 + 4.17731i 0.289181 + 0.166959i
\(627\) 0.0565653 + 0.538183i 0.00225900 + 0.0214929i
\(628\) −1.79226 + 17.0522i −0.0715188 + 0.680456i
\(629\) −2.22190 + 3.05818i −0.0885930 + 0.121938i
\(630\) −72.3487 65.1430i −2.88244 2.59536i
\(631\) 1.11655 2.50781i 0.0444491 0.0998342i −0.889956 0.456046i \(-0.849265\pi\)
0.934405 + 0.356212i \(0.115932\pi\)
\(632\) 7.10946 2.31000i 0.282799 0.0918870i
\(633\) 15.2228 3.23571i 0.605054 0.128608i
\(634\) −17.4732 + 7.77957i −0.693949 + 0.308966i
\(635\) −15.6153 + 14.0601i −0.619674 + 0.557957i
\(636\) −0.665459 + 2.04807i −0.0263872 + 0.0812113i
\(637\) −22.0420 3.09855i −0.873336 0.122769i
\(638\) −7.28157 + 22.4104i −0.288280 + 0.887236i
\(639\) 5.99824 28.2195i 0.237287 1.11635i
\(640\) −1.93339 18.3950i −0.0764240 0.727126i
\(641\) −2.06461 + 2.29299i −0.0815474 + 0.0905675i −0.782538 0.622603i \(-0.786075\pi\)
0.700990 + 0.713171i \(0.252742\pi\)
\(642\) −23.2992 + 32.0686i −0.919545 + 1.26565i
\(643\) −36.2363 3.80858i −1.42902 0.150196i −0.641801 0.766871i \(-0.721812\pi\)
−0.787217 + 0.616675i \(0.788479\pi\)
\(644\) −31.0699 + 69.7842i −1.22433 + 2.74988i
\(645\) 85.2256i 3.35576i
\(646\) 0.329009 + 0.569860i 0.0129447 + 0.0224208i
\(647\) 3.59523 + 34.2063i 0.141343 + 1.34479i 0.803446 + 0.595377i \(0.202997\pi\)
−0.662103 + 0.749413i \(0.730336\pi\)
\(648\) 3.28978 2.96213i 0.129235 0.116364i
\(649\) −0.306137 0.942193i −0.0120169 0.0369843i
\(650\) −27.0175 50.8166i −1.05971 1.99319i
\(651\) 31.6696 + 41.2629i 1.24123 + 1.61722i
\(652\) 5.27321 + 3.04449i 0.206515 + 0.119231i
\(653\) 5.75005 + 1.22221i 0.225017 + 0.0478288i 0.319040 0.947741i \(-0.396640\pi\)
−0.0940234 + 0.995570i \(0.529973\pi\)
\(654\) −70.0923 + 14.8986i −2.74083 + 0.582580i
\(655\) −13.6679 18.8122i −0.534047 0.735053i
\(656\) 8.88440 5.12941i 0.346878 0.200270i
\(657\) −27.2639 + 15.7408i −1.06367 + 0.614108i
\(658\) −26.3183 36.2241i −1.02599 1.41216i
\(659\) −4.59094 + 43.6799i −0.178838 + 1.70153i 0.425629 + 0.904898i \(0.360053\pi\)
−0.604467 + 0.796630i \(0.706614\pi\)
\(660\) −30.4490 + 13.5568i −1.18523 + 0.527697i
\(661\) 2.90659 13.6744i 0.113053 0.531874i −0.884776 0.466017i \(-0.845689\pi\)
0.997829 0.0658569i \(-0.0209781\pi\)
\(662\) −0.553583 + 0.402202i −0.0215156 + 0.0156320i
\(663\) −5.30977 + 21.2933i −0.206214 + 0.826964i
\(664\) −2.21984 + 6.83198i −0.0861467 + 0.265132i
\(665\) −0.704170 1.58159i −0.0273065 0.0613315i
\(666\) −8.05643 8.94758i −0.312180 0.346712i
\(667\) −64.2138 + 13.6491i −2.48637 + 0.528494i
\(668\) 7.32930 10.0879i 0.283579 0.390313i
\(669\) −0.833888 3.92314i −0.0322400 0.151677i
\(670\) 23.6116 + 21.2600i 0.912197 + 0.821346i
\(671\) 13.6152 + 18.7398i 0.525610 + 0.723441i
\(672\) 50.6493 56.2517i 1.95384 2.16996i
\(673\) −46.2609 + 20.5967i −1.78323 + 0.793943i −0.803022 + 0.595949i \(0.796776\pi\)
−0.980203 + 0.197994i \(0.936557\pi\)
\(674\) 8.42294 + 18.9182i 0.324439 + 0.728703i
\(675\) 10.0027 7.26738i 0.385004 0.279721i
\(676\) −16.8410 + 24.9643i −0.647732 + 0.960165i
\(677\) 14.2883 0.549145 0.274572 0.961566i \(-0.411464\pi\)
0.274572 + 0.961566i \(0.411464\pi\)
\(678\) 33.5303 3.52418i 1.28772 0.135345i
\(679\) 31.8039 + 35.3219i 1.22052 + 1.35553i
\(680\) −3.70465 + 4.11444i −0.142067 + 0.157781i
\(681\) 55.3055i 2.11931i
\(682\) 17.6553 4.24080i 0.676056 0.162389i
\(683\) 29.6739 17.1322i 1.13544 0.655547i 0.190143 0.981756i \(-0.439105\pi\)
0.945297 + 0.326210i \(0.105772\pi\)
\(684\) −1.06971 + 0.347569i −0.0409013 + 0.0132896i
\(685\) 38.7229 8.23081i 1.47953 0.314483i
\(686\) 0.651494 + 6.19855i 0.0248742 + 0.236662i
\(687\) 15.4245 + 8.90533i 0.588481 + 0.339759i
\(688\) −30.3743 −1.15801
\(689\) −1.29907 + 0.0907962i −0.0494905 + 0.00345906i
\(690\) −139.987 101.706i −5.32920 3.87189i
\(691\) −10.9511 24.5966i −0.416601 0.935700i −0.992954 0.118500i \(-0.962191\pi\)
0.576353 0.817201i \(-0.304475\pi\)
\(692\) 20.3102 + 4.31707i 0.772079 + 0.164110i
\(693\) −18.8680 8.40057i −0.716736 0.319111i
\(694\) 10.6921 3.47407i 0.405866 0.131874i
\(695\) 0.456113 + 2.14584i 0.0173014 + 0.0813965i
\(696\) −12.1601 1.27808i −0.460929 0.0484456i
\(697\) −7.06201 2.29458i −0.267493 0.0869136i
\(698\) 30.5722 6.49833i 1.15718 0.245965i
\(699\) 59.5339 26.5062i 2.25178 1.00256i
\(700\) 48.0035 43.2226i 1.81436 1.63366i
\(701\) −7.02514 21.6212i −0.265336 0.816620i −0.991616 0.129221i \(-0.958752\pi\)
0.726280 0.687399i \(-0.241248\pi\)
\(702\) −10.8347 5.28490i −0.408931 0.199466i
\(703\) −0.0661639 0.203632i −0.00249542 0.00768011i
\(704\) −6.57573 14.7693i −0.247832 0.556640i
\(705\) 49.7241 22.1386i 1.87272 0.833788i
\(706\) 58.6687 + 26.1210i 2.20803 + 0.983077i
\(707\) 34.3723i 1.29270i
\(708\) 3.25892 1.88154i 0.122478 0.0707126i
\(709\) 2.18898 4.91652i 0.0822087 0.184644i −0.867764 0.496976i \(-0.834444\pi\)
0.949973 + 0.312332i \(0.101110\pi\)
\(710\) 56.0003 + 18.1956i 2.10166 + 0.682869i
\(711\) −27.5816 + 30.6325i −1.03439 + 1.14881i
\(712\) −3.19548 + 5.53473i −0.119756 + 0.207423i
\(713\) 34.8258 + 36.6903i 1.30424 + 1.37406i
\(714\) −45.8970 −1.71765
\(715\) −14.4982 14.0017i −0.542201 0.523633i
\(716\) −13.2021 + 40.6320i −0.493387 + 1.51849i
\(717\) 53.0458 5.57534i 1.98103 0.208215i
\(718\) −8.70743 + 15.0817i −0.324958 + 0.562844i
\(719\) 3.73771 + 6.47390i 0.139393 + 0.241436i 0.927267 0.374401i \(-0.122152\pi\)
−0.787874 + 0.615836i \(0.788818\pi\)
\(720\) 24.7919 + 34.1231i 0.923940 + 1.27169i
\(721\) 31.9749 + 3.36070i 1.19081 + 0.125159i
\(722\) 39.2212 + 4.12231i 1.45966 + 0.153417i
\(723\) 54.9807 17.8643i 2.04476 0.664381i
\(724\) 40.4823 + 18.0239i 1.50451 + 0.669853i
\(725\) 54.3002 + 11.5419i 2.01666 + 0.428654i
\(726\) 33.9231 30.5445i 1.25901 1.13361i
\(727\) 35.2859 + 25.6367i 1.30868 + 0.950814i 1.00000 0.000350954i \(-0.000111712\pi\)
0.308683 + 0.951165i \(0.400112\pi\)
\(728\) −8.08458 2.94285i −0.299635 0.109069i
\(729\) −11.3832 + 35.0339i −0.421600 + 1.29755i
\(730\) −26.1342 58.6984i −0.967271 2.17253i
\(731\) 14.7110 + 16.3382i 0.544106 + 0.604290i
\(732\) −58.8745 + 65.3867i −2.17606 + 2.41676i
\(733\) 7.56583 + 10.4135i 0.279450 + 0.384630i 0.925552 0.378621i \(-0.123602\pi\)
−0.646101 + 0.763252i \(0.723602\pi\)
\(734\) −30.4079 27.3794i −1.12238 1.01059i
\(735\) 56.2799 + 5.91526i 2.07592 + 0.218188i
\(736\) 43.2700 59.5560i 1.59495 2.19526i
\(737\) 6.15774 + 2.74160i 0.226823 + 0.100988i
\(738\) 11.8254 20.4823i 0.435301 0.753963i
\(739\) −6.28800 3.63038i −0.231308 0.133546i 0.379867 0.925041i \(-0.375970\pi\)
−0.611175 + 0.791495i \(0.709303\pi\)
\(740\) 10.6690 7.75149i 0.392201 0.284950i
\(741\) −0.798961 0.952229i −0.0293506 0.0349810i
\(742\) −0.841614 2.59022i −0.0308966 0.0950900i
\(743\) −21.4491 12.3836i −0.786892 0.454312i 0.0519755 0.998648i \(-0.483448\pi\)
−0.838867 + 0.544336i \(0.816782\pi\)
\(744\) 4.05719 + 8.50356i 0.148744 + 0.311756i
\(745\) 29.1917 + 50.5615i 1.06950 + 1.85243i
\(746\) −33.3297 + 10.8295i −1.22029 + 0.396496i
\(747\) −8.23564 38.7457i −0.301326 1.41763i
\(748\) −3.49717 + 7.85478i −0.127869 + 0.287199i
\(749\) 26.9035i 0.983033i
\(750\) 25.5480 + 44.2504i 0.932881 + 1.61580i
\(751\) −1.11328 10.5922i −0.0406243 0.386514i −0.995876 0.0907212i \(-0.971083\pi\)
0.955252 0.295793i \(-0.0955839\pi\)
\(752\) 7.89018 + 17.7216i 0.287725 + 0.646241i
\(753\) 18.2540 + 13.2623i 0.665212 + 0.483305i
\(754\) −14.9173 52.0294i −0.543257 1.89480i
\(755\) 6.15640 4.47289i 0.224054 0.162785i