Properties

Label 63.2.g.b.4.3
Level $63$
Weight $2$
Character 63.4
Analytic conductor $0.503$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 63.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.503057532734\)
Analytic rank: \(0\)
Dimension: \(10\)
Relative dimension: \(5\) over \(\Q(\zeta_{3})\)
Coefficient field: 10.0.991381711347.1
Defining polynomial: \(x^{10} - 2 x^{9} + 9 x^{8} - 8 x^{7} + 40 x^{6} - 36 x^{5} + 90 x^{4} - 3 x^{3} + 36 x^{2} - 9 x + 9\)
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 4.3
Root \(0.247934 - 0.429435i\) of defining polynomial
Character \(\chi\) \(=\) 63.4
Dual form 63.2.g.b.16.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.247934 - 0.429435i) q^{2} +(1.59836 - 0.667278i) q^{3} +(0.877057 + 1.51911i) q^{4} -3.69258 q^{5} +(0.109735 - 0.851830i) q^{6} +(-2.60948 - 0.436591i) q^{7} +1.86155 q^{8} +(2.10948 - 2.13309i) q^{9} +O(q^{10})\) \(q+(0.247934 - 0.429435i) q^{2} +(1.59836 - 0.667278i) q^{3} +(0.877057 + 1.51911i) q^{4} -3.69258 q^{5} +(0.109735 - 0.851830i) q^{6} +(-2.60948 - 0.436591i) q^{7} +1.86155 q^{8} +(2.10948 - 2.13309i) q^{9} +(-0.915516 + 1.58572i) q^{10} -0.892568 q^{11} +(2.41552 + 1.84283i) q^{12} +(0.598355 - 1.03638i) q^{13} +(-0.834466 + 1.01236i) q^{14} +(-5.90205 + 2.46398i) q^{15} +(-1.29257 + 2.23880i) q^{16} +(-0.124991 + 0.216492i) q^{17} +(-0.393012 - 1.43475i) q^{18} +(1.40414 + 2.43204i) q^{19} +(-3.23860 - 5.60943i) q^{20} +(-4.46220 + 1.04342i) q^{21} +(-0.221298 + 0.383300i) q^{22} +2.47772 q^{23} +(2.97541 - 1.24217i) q^{24} +8.63514 q^{25} +(-0.296705 - 0.513909i) q^{26} +(1.94833 - 4.81705i) q^{27} +(-1.62544 - 4.34700i) q^{28} +(2.07128 + 3.58755i) q^{29} +(-0.405204 + 3.14545i) q^{30} +(-1.79257 - 3.10483i) q^{31} +(2.50249 + 4.33444i) q^{32} +(-1.42664 + 0.595591i) q^{33} +(0.0619793 + 0.107351i) q^{34} +(9.63571 + 1.61215i) q^{35} +(5.09054 + 1.33368i) q^{36} +(-2.36568 - 4.09747i) q^{37} +1.39253 q^{38} +(0.264830 - 2.05578i) q^{39} -6.87391 q^{40} +(-2.39093 + 4.14121i) q^{41} +(-0.658252 + 2.17492i) q^{42} +(-4.98928 - 8.64169i) q^{43} +(-0.782834 - 1.35591i) q^{44} +(-7.78942 + 7.87662i) q^{45} +(0.614310 - 1.06402i) q^{46} +(5.08653 - 8.81013i) q^{47} +(-0.572088 + 4.44091i) q^{48} +(6.61878 + 2.27855i) q^{49} +(2.14095 - 3.70823i) q^{50} +(-0.0553208 + 0.429435i) q^{51} +2.09917 q^{52} +(-4.94465 + 8.56438i) q^{53} +(-1.58555 - 2.03099i) q^{54} +3.29588 q^{55} +(-4.85767 - 0.812734i) q^{56} +(3.86715 + 2.95031i) q^{57} +2.05416 q^{58} +(-0.906186 - 1.56956i) q^{59} +(-8.91949 - 6.80481i) q^{60} +(-5.40205 + 9.35663i) q^{61} -1.77776 q^{62} +(-6.43594 + 4.64529i) q^{63} -2.68848 q^{64} +(-2.20948 + 3.82692i) q^{65} +(-0.0979457 + 0.760316i) q^{66} +(-0.514685 - 0.891460i) q^{67} -0.438499 q^{68} +(3.96027 - 1.65332i) q^{69} +(3.08133 - 3.73820i) q^{70} -4.94533 q^{71} +(3.92690 - 3.97085i) q^{72} +(-0.915262 + 1.58528i) q^{73} -2.34613 q^{74} +(13.8020 - 5.76204i) q^{75} +(-2.46302 + 4.26607i) q^{76} +(2.32914 + 0.389687i) q^{77} +(-0.817161 - 0.623424i) q^{78} +(0.899562 - 1.55809i) q^{79} +(4.77293 - 8.26696i) q^{80} +(-0.100184 - 8.99944i) q^{81} +(1.18559 + 2.05350i) q^{82} +(6.16156 + 10.6721i) q^{83} +(-5.49868 - 5.86343i) q^{84} +(0.461541 - 0.799412i) q^{85} -4.94806 q^{86} +(5.70453 + 4.35207i) q^{87} -1.66156 q^{88} +(-1.20370 - 2.08488i) q^{89} +(1.45123 + 5.29793i) q^{90} +(-2.01387 + 2.44318i) q^{91} +(2.17310 + 3.76392i) q^{92} +(-4.93695 - 3.76648i) q^{93} +(-2.52225 - 4.36867i) q^{94} +(-5.18489 - 8.98049i) q^{95} +(6.89215 + 5.25813i) q^{96} +(5.52210 + 9.56456i) q^{97} +(2.61951 - 2.27740i) q^{98} +(-1.88286 + 1.90393i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10q + 2q^{2} + 2q^{3} - 4q^{4} - 8q^{5} - 2q^{6} - q^{7} - 6q^{8} - 4q^{9} + O(q^{10}) \) \( 10q + 2q^{2} + 2q^{3} - 4q^{4} - 8q^{5} - 2q^{6} - q^{7} - 6q^{8} - 4q^{9} - 7q^{10} - 8q^{11} + 22q^{12} - 8q^{13} + 16q^{14} - 19q^{15} + 2q^{16} + 12q^{17} - 2q^{18} + q^{19} + 5q^{20} - 2q^{21} - q^{22} - 6q^{23} + 3q^{24} + 2q^{25} + 11q^{26} - 7q^{27} - 2q^{28} + 7q^{29} - 26q^{30} - 3q^{31} - 2q^{32} - q^{33} + 3q^{34} + 5q^{35} + 34q^{36} - 40q^{38} + 20q^{39} + 6q^{40} + 5q^{41} + 32q^{42} - 7q^{43} - 10q^{44} - q^{45} + 3q^{46} + 27q^{47} - 5q^{48} + 25q^{49} + 19q^{50} + 24q^{51} + 20q^{52} - 21q^{53} - 53q^{54} + 4q^{55} - 45q^{56} - 4q^{57} + 20q^{58} + 30q^{59} - 41q^{60} - 14q^{61} - 12q^{62} - 35q^{63} - 50q^{64} - 11q^{65} - 41q^{66} - 2q^{67} - 54q^{68} + 15q^{69} - 29q^{70} - 6q^{71} + 48q^{72} + 15q^{73} + 72q^{74} + 31q^{75} + 5q^{76} - 31q^{77} - 20q^{78} - 4q^{79} + 20q^{80} + 8q^{81} - 5q^{82} + 9q^{83} + 2q^{84} - 6q^{85} + 16q^{86} + 32q^{87} + 36q^{88} + 28q^{89} + 28q^{90} - 4q^{91} + 27q^{92} - 12q^{93} - 3q^{94} - 14q^{95} - q^{96} - 12q^{97} + 59q^{98} + 35q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.247934 0.429435i 0.175316 0.303656i −0.764955 0.644084i \(-0.777239\pi\)
0.940271 + 0.340428i \(0.110572\pi\)
\(3\) 1.59836 0.667278i 0.922811 0.385253i
\(4\) 0.877057 + 1.51911i 0.438529 + 0.759554i
\(5\) −3.69258 −1.65137 −0.825686 0.564130i \(-0.809212\pi\)
−0.825686 + 0.564130i \(0.809212\pi\)
\(6\) 0.109735 0.851830i 0.0447990 0.347758i
\(7\) −2.60948 0.436591i −0.986291 0.165016i
\(8\) 1.86155 0.658156
\(9\) 2.10948 2.13309i 0.703160 0.711031i
\(10\) −0.915516 + 1.58572i −0.289512 + 0.501449i
\(11\) −0.892568 −0.269119 −0.134560 0.990905i \(-0.542962\pi\)
−0.134560 + 0.990905i \(0.542962\pi\)
\(12\) 2.41552 + 1.84283i 0.697300 + 0.531980i
\(13\) 0.598355 1.03638i 0.165954 0.287441i −0.771040 0.636787i \(-0.780263\pi\)
0.936994 + 0.349346i \(0.113596\pi\)
\(14\) −0.834466 + 1.01236i −0.223021 + 0.270563i
\(15\) −5.90205 + 2.46398i −1.52390 + 0.636196i
\(16\) −1.29257 + 2.23880i −0.323143 + 0.559701i
\(17\) −0.124991 + 0.216492i −0.0303149 + 0.0525069i −0.880785 0.473517i \(-0.842984\pi\)
0.850470 + 0.526024i \(0.176318\pi\)
\(18\) −0.393012 1.43475i −0.0926339 0.338174i
\(19\) 1.40414 + 2.43204i 0.322131 + 0.557948i 0.980928 0.194374i \(-0.0622675\pi\)
−0.658796 + 0.752321i \(0.728934\pi\)
\(20\) −3.23860 5.60943i −0.724174 1.25431i
\(21\) −4.46220 + 1.04342i −0.973733 + 0.227693i
\(22\) −0.221298 + 0.383300i −0.0471809 + 0.0817198i
\(23\) 2.47772 0.516639 0.258320 0.966059i \(-0.416831\pi\)
0.258320 + 0.966059i \(0.416831\pi\)
\(24\) 2.97541 1.24217i 0.607354 0.253557i
\(25\) 8.63514 1.72703
\(26\) −0.296705 0.513909i −0.0581887 0.100786i
\(27\) 1.94833 4.81705i 0.374957 0.927042i
\(28\) −1.62544 4.34700i −0.307178 0.821505i
\(29\) 2.07128 + 3.58755i 0.384626 + 0.666192i 0.991717 0.128440i \(-0.0409970\pi\)
−0.607091 + 0.794632i \(0.707664\pi\)
\(30\) −0.405204 + 3.14545i −0.0739798 + 0.574278i
\(31\) −1.79257 3.10483i −0.321956 0.557644i 0.658936 0.752199i \(-0.271007\pi\)
−0.980892 + 0.194555i \(0.937674\pi\)
\(32\) 2.50249 + 4.33444i 0.442382 + 0.766229i
\(33\) −1.42664 + 0.595591i −0.248346 + 0.103679i
\(34\) 0.0619793 + 0.107351i 0.0106294 + 0.0184106i
\(35\) 9.63571 + 1.61215i 1.62873 + 0.272502i
\(36\) 5.09054 + 1.33368i 0.848423 + 0.222280i
\(37\) −2.36568 4.09747i −0.388915 0.673621i 0.603389 0.797447i \(-0.293817\pi\)
−0.992304 + 0.123826i \(0.960483\pi\)
\(38\) 1.39253 0.225899
\(39\) 0.264830 2.05578i 0.0424067 0.329188i
\(40\) −6.87391 −1.08686
\(41\) −2.39093 + 4.14121i −0.373400 + 0.646748i −0.990086 0.140461i \(-0.955142\pi\)
0.616686 + 0.787209i \(0.288475\pi\)
\(42\) −0.658252 + 2.17492i −0.101570 + 0.335598i
\(43\) −4.98928 8.64169i −0.760859 1.31785i −0.942408 0.334464i \(-0.891445\pi\)
0.181550 0.983382i \(-0.441889\pi\)
\(44\) −0.782834 1.35591i −0.118017 0.204411i
\(45\) −7.78942 + 7.87662i −1.16118 + 1.17418i
\(46\) 0.614310 1.06402i 0.0905751 0.156881i
\(47\) 5.08653 8.81013i 0.741947 1.28509i −0.209661 0.977774i \(-0.567236\pi\)
0.951608 0.307316i \(-0.0994308\pi\)
\(48\) −0.572088 + 4.44091i −0.0825738 + 0.640990i
\(49\) 6.61878 + 2.27855i 0.945540 + 0.325507i
\(50\) 2.14095 3.70823i 0.302776 0.524423i
\(51\) −0.0553208 + 0.429435i −0.00774646 + 0.0601329i
\(52\) 2.09917 0.291102
\(53\) −4.94465 + 8.56438i −0.679199 + 1.17641i 0.296023 + 0.955181i \(0.404339\pi\)
−0.975222 + 0.221227i \(0.928994\pi\)
\(54\) −1.58555 2.03099i −0.215766 0.276383i
\(55\) 3.29588 0.444416
\(56\) −4.85767 0.812734i −0.649133 0.108606i
\(57\) 3.86715 + 2.95031i 0.512217 + 0.390778i
\(58\) 2.05416 0.269724
\(59\) −0.906186 1.56956i −0.117975 0.204339i 0.800990 0.598678i \(-0.204307\pi\)
−0.918965 + 0.394339i \(0.870974\pi\)
\(60\) −8.91949 6.80481i −1.15150 0.878497i
\(61\) −5.40205 + 9.35663i −0.691662 + 1.19799i 0.279631 + 0.960108i \(0.409788\pi\)
−0.971293 + 0.237886i \(0.923545\pi\)
\(62\) −1.77776 −0.225776
\(63\) −6.43594 + 4.64529i −0.810852 + 0.585251i
\(64\) −2.68848 −0.336060
\(65\) −2.20948 + 3.82692i −0.274052 + 0.474671i
\(66\) −0.0979457 + 0.760316i −0.0120563 + 0.0935885i
\(67\) −0.514685 0.891460i −0.0628787 0.108909i 0.832872 0.553465i \(-0.186695\pi\)
−0.895751 + 0.444556i \(0.853361\pi\)
\(68\) −0.438499 −0.0531758
\(69\) 3.96027 1.65332i 0.476761 0.199037i
\(70\) 3.08133 3.73820i 0.368290 0.446801i
\(71\) −4.94533 −0.586903 −0.293451 0.955974i \(-0.594804\pi\)
−0.293451 + 0.955974i \(0.594804\pi\)
\(72\) 3.92690 3.97085i 0.462789 0.467970i
\(73\) −0.915262 + 1.58528i −0.107123 + 0.185543i −0.914604 0.404351i \(-0.867497\pi\)
0.807480 + 0.589894i \(0.200831\pi\)
\(74\) −2.34613 −0.272732
\(75\) 13.8020 5.76204i 1.59372 0.665343i
\(76\) −2.46302 + 4.26607i −0.282527 + 0.489352i
\(77\) 2.32914 + 0.389687i 0.265430 + 0.0444090i
\(78\) −0.817161 0.623424i −0.0925253 0.0705889i
\(79\) 0.899562 1.55809i 0.101209 0.175298i −0.810974 0.585082i \(-0.801062\pi\)
0.912183 + 0.409783i \(0.134396\pi\)
\(80\) 4.77293 8.26696i 0.533630 0.924274i
\(81\) −0.100184 8.99944i −0.0111316 0.999938i
\(82\) 1.18559 + 2.05350i 0.130926 + 0.226771i
\(83\) 6.16156 + 10.6721i 0.676319 + 1.17142i 0.976082 + 0.217405i \(0.0697591\pi\)
−0.299763 + 0.954014i \(0.596908\pi\)
\(84\) −5.49868 5.86343i −0.599955 0.639753i
\(85\) 0.461541 0.799412i 0.0500611 0.0867084i
\(86\) −4.94806 −0.533563
\(87\) 5.70453 + 4.35207i 0.611590 + 0.466591i
\(88\) −1.66156 −0.177123
\(89\) −1.20370 2.08488i −0.127592 0.220997i 0.795151 0.606412i \(-0.207392\pi\)
−0.922743 + 0.385415i \(0.874058\pi\)
\(90\) 1.45123 + 5.29793i 0.152973 + 0.558451i
\(91\) −2.01387 + 2.44318i −0.211111 + 0.256115i
\(92\) 2.17310 + 3.76392i 0.226561 + 0.392416i
\(93\) −4.93695 3.76648i −0.511938 0.390565i
\(94\) −2.52225 4.36867i −0.260150 0.450593i
\(95\) −5.18489 8.98049i −0.531958 0.921379i
\(96\) 6.89215 + 5.25813i 0.703427 + 0.536655i
\(97\) 5.52210 + 9.56456i 0.560684 + 0.971134i 0.997437 + 0.0715522i \(0.0227952\pi\)
−0.436752 + 0.899582i \(0.643871\pi\)
\(98\) 2.61951 2.27740i 0.264610 0.230052i
\(99\) −1.88286 + 1.90393i −0.189234 + 0.191352i
\(100\) 7.57351 + 13.1177i 0.757351 + 1.31177i
\(101\) −2.59964 −0.258674 −0.129337 0.991601i \(-0.541285\pi\)
−0.129337 + 0.991601i \(0.541285\pi\)
\(102\) 0.170698 + 0.130228i 0.0169016 + 0.0128945i
\(103\) 9.71155 0.956908 0.478454 0.878113i \(-0.341197\pi\)
0.478454 + 0.878113i \(0.341197\pi\)
\(104\) 1.11387 1.92927i 0.109224 0.189181i
\(105\) 16.4770 3.85292i 1.60799 0.376006i
\(106\) 2.45189 + 4.24680i 0.238149 + 0.412486i
\(107\) −5.45025 9.44012i −0.526896 0.912610i −0.999509 0.0313403i \(-0.990022\pi\)
0.472613 0.881270i \(-0.343311\pi\)
\(108\) 9.02642 1.26510i 0.868568 0.121735i
\(109\) −1.06096 + 1.83764i −0.101622 + 0.176014i −0.912353 0.409404i \(-0.865737\pi\)
0.810731 + 0.585419i \(0.199070\pi\)
\(110\) 0.817161 1.41536i 0.0779132 0.134950i
\(111\) −6.51535 4.97066i −0.618410 0.471794i
\(112\) 4.35039 5.27779i 0.411073 0.498704i
\(113\) 7.91318 13.7060i 0.744409 1.28935i −0.206061 0.978539i \(-0.566065\pi\)
0.950470 0.310816i \(-0.100602\pi\)
\(114\) 2.22576 0.929207i 0.208462 0.0870282i
\(115\) −9.14916 −0.853164
\(116\) −3.63325 + 6.29298i −0.337339 + 0.584289i
\(117\) −0.948482 3.46258i −0.0876872 0.320115i
\(118\) −0.898698 −0.0827318
\(119\) 0.420681 0.510360i 0.0385638 0.0467847i
\(120\) −10.9869 + 4.58681i −1.00297 + 0.418716i
\(121\) −10.2033 −0.927575
\(122\) 2.67871 + 4.63966i 0.242519 + 0.420055i
\(123\) −1.05822 + 8.21454i −0.0954162 + 0.740680i
\(124\) 3.14438 5.44623i 0.282374 0.489086i
\(125\) −13.4230 −1.20059
\(126\) 0.399159 + 3.91554i 0.0355599 + 0.348824i
\(127\) −1.26946 −0.112647 −0.0563233 0.998413i \(-0.517938\pi\)
−0.0563233 + 0.998413i \(0.517938\pi\)
\(128\) −5.67155 + 9.82342i −0.501299 + 0.868275i
\(129\) −13.7411 10.4833i −1.20983 0.923000i
\(130\) 1.09561 + 1.89765i 0.0960912 + 0.166435i
\(131\) −15.0289 −1.31308 −0.656540 0.754291i \(-0.727981\pi\)
−0.656540 + 0.754291i \(0.727981\pi\)
\(132\) −2.15601 1.64485i −0.187657 0.143166i
\(133\) −2.60226 6.95939i −0.225645 0.603455i
\(134\) −0.510432 −0.0440946
\(135\) −7.19437 + 17.7873i −0.619193 + 1.53089i
\(136\) −0.232677 + 0.403009i −0.0199519 + 0.0345577i
\(137\) −0.488493 −0.0417347 −0.0208674 0.999782i \(-0.506643\pi\)
−0.0208674 + 0.999782i \(0.506643\pi\)
\(138\) 0.271891 2.11059i 0.0231449 0.179666i
\(139\) −4.93487 + 8.54745i −0.418570 + 0.724985i −0.995796 0.0915997i \(-0.970802\pi\)
0.577226 + 0.816585i \(0.304135\pi\)
\(140\) 6.00205 + 16.0516i 0.507266 + 1.35661i
\(141\) 2.25128 17.4759i 0.189592 1.47173i
\(142\) −1.22612 + 2.12370i −0.102893 + 0.178217i
\(143\) −0.534073 + 0.925042i −0.0446614 + 0.0773559i
\(144\) 2.04892 + 7.47989i 0.170743 + 0.623325i
\(145\) −7.64835 13.2473i −0.635161 1.10013i
\(146\) 0.453849 + 0.786090i 0.0375609 + 0.0650573i
\(147\) 12.0996 0.774629i 0.997957 0.0638903i
\(148\) 4.14967 7.18744i 0.341101 0.590804i
\(149\) 21.0240 1.72235 0.861175 0.508309i \(-0.169729\pi\)
0.861175 + 0.508309i \(0.169729\pi\)
\(150\) 0.947575 7.35567i 0.0773692 0.600588i
\(151\) 1.49838 0.121937 0.0609683 0.998140i \(-0.480581\pi\)
0.0609683 + 0.998140i \(0.480581\pi\)
\(152\) 2.61387 + 4.52735i 0.212013 + 0.367217i
\(153\) 0.198130 + 0.723303i 0.0160179 + 0.0584756i
\(154\) 0.744818 0.903596i 0.0600192 0.0728139i
\(155\) 6.61922 + 11.4648i 0.531669 + 0.920877i
\(156\) 3.35522 1.40073i 0.268632 0.112148i
\(157\) 8.33982 + 14.4450i 0.665590 + 1.15284i 0.979125 + 0.203259i \(0.0651534\pi\)
−0.313535 + 0.949577i \(0.601513\pi\)
\(158\) −0.446064 0.772606i −0.0354870 0.0614652i
\(159\) −2.18848 + 16.9884i −0.173558 + 1.34727i
\(160\) −9.24065 16.0053i −0.730538 1.26533i
\(161\) −6.46555 1.08175i −0.509557 0.0852537i
\(162\) −3.88951 2.18825i −0.305589 0.171925i
\(163\) −3.34135 5.78738i −0.261714 0.453303i 0.704983 0.709224i \(-0.250954\pi\)
−0.966698 + 0.255921i \(0.917621\pi\)
\(164\) −8.38793 −0.654987
\(165\) 5.26799 2.19927i 0.410112 0.171213i
\(166\) 6.11064 0.474278
\(167\) 8.81549 15.2689i 0.682163 1.18154i −0.292156 0.956371i \(-0.594373\pi\)
0.974319 0.225170i \(-0.0722939\pi\)
\(168\) −8.30660 + 1.94238i −0.640868 + 0.149858i
\(169\) 5.78394 + 10.0181i 0.444919 + 0.770622i
\(170\) −0.228863 0.396403i −0.0175530 0.0304027i
\(171\) 8.14976 + 2.13518i 0.623228 + 0.163281i
\(172\) 8.75178 15.1585i 0.667317 1.15583i
\(173\) 1.94342 3.36611i 0.147756 0.255920i −0.782642 0.622472i \(-0.786128\pi\)
0.930398 + 0.366552i \(0.119462\pi\)
\(174\) 3.28328 1.37070i 0.248905 0.103912i
\(175\) −22.5332 3.77002i −1.70335 0.284987i
\(176\) 1.15371 1.99829i 0.0869642 0.150626i
\(177\) −2.49574 1.90404i −0.187591 0.143116i
\(178\) −1.19376 −0.0894759
\(179\) 3.66758 6.35244i 0.274128 0.474804i −0.695787 0.718248i \(-0.744944\pi\)
0.969915 + 0.243445i \(0.0782775\pi\)
\(180\) −18.7972 4.92473i −1.40106 0.367067i
\(181\) 11.2566 0.836693 0.418346 0.908288i \(-0.362610\pi\)
0.418346 + 0.908288i \(0.362610\pi\)
\(182\) 0.549879 + 1.47057i 0.0407598 + 0.109006i
\(183\) −2.39093 + 18.5599i −0.176743 + 1.37199i
\(184\) 4.61238 0.340029
\(185\) 8.73545 + 15.1302i 0.642243 + 1.11240i
\(186\) −2.84149 + 1.18626i −0.208348 + 0.0869808i
\(187\) 0.111563 0.193234i 0.00815833 0.0141306i
\(188\) 17.8447 1.30146
\(189\) −7.18722 + 11.7194i −0.522793 + 0.852460i
\(190\) −5.14204 −0.373043
\(191\) 11.9230 20.6512i 0.862715 1.49427i −0.00658302 0.999978i \(-0.502095\pi\)
0.869298 0.494288i \(-0.164571\pi\)
\(192\) −4.29715 + 1.79396i −0.310120 + 0.129468i
\(193\) −2.96728 5.13948i −0.213589 0.369948i 0.739246 0.673436i \(-0.235182\pi\)
−0.952835 + 0.303488i \(0.901849\pi\)
\(194\) 5.47647 0.393188
\(195\) −0.977905 + 7.59112i −0.0700293 + 0.543611i
\(196\) 2.34368 + 12.0531i 0.167406 + 0.860933i
\(197\) −15.4682 −1.10206 −0.551032 0.834484i \(-0.685766\pi\)
−0.551032 + 0.834484i \(0.685766\pi\)
\(198\) 0.350790 + 1.28061i 0.0249296 + 0.0910092i
\(199\) 7.74818 13.4202i 0.549254 0.951336i −0.449072 0.893496i \(-0.648245\pi\)
0.998326 0.0578402i \(-0.0184214\pi\)
\(200\) 16.0747 1.13665
\(201\) −1.41750 1.08143i −0.0999828 0.0762784i
\(202\) −0.644540 + 1.11638i −0.0453497 + 0.0785480i
\(203\) −3.83866 10.2660i −0.269421 0.720529i
\(204\) −0.700877 + 0.292600i −0.0490712 + 0.0204861i
\(205\) 8.82870 15.2917i 0.616623 1.06802i
\(206\) 2.40783 4.17048i 0.167761 0.290571i
\(207\) 5.22669 5.28520i 0.363280 0.367347i
\(208\) 1.54684 + 2.67920i 0.107254 + 0.185769i
\(209\) −1.25329 2.17076i −0.0866918 0.150155i
\(210\) 2.43065 8.03108i 0.167731 0.554197i
\(211\) 0.771898 1.33697i 0.0531397 0.0920406i −0.838232 0.545314i \(-0.816410\pi\)
0.891372 + 0.453273i \(0.149744\pi\)
\(212\) −17.3469 −1.19139
\(213\) −7.90440 + 3.29991i −0.541600 + 0.226106i
\(214\) −5.40522 −0.369493
\(215\) 18.4233 + 31.9101i 1.25646 + 2.17625i
\(216\) 3.62691 8.96717i 0.246780 0.610138i
\(217\) 3.32215 + 8.88461i 0.225522 + 0.603127i
\(218\) 0.526098 + 0.911229i 0.0356319 + 0.0617162i
\(219\) −0.405092 + 3.14458i −0.0273736 + 0.212491i
\(220\) 2.89068 + 5.00680i 0.194889 + 0.337558i
\(221\) 0.149579 + 0.259078i 0.0100617 + 0.0174275i
\(222\) −3.74995 + 1.56552i −0.251680 + 0.105071i
\(223\) −2.72171 4.71414i −0.182259 0.315682i 0.760390 0.649466i \(-0.225008\pi\)
−0.942649 + 0.333784i \(0.891674\pi\)
\(224\) −4.63783 12.4032i −0.309878 0.828725i
\(225\) 18.2157 18.4196i 1.21438 1.22797i
\(226\) −3.92389 6.79638i −0.261014 0.452089i
\(227\) −16.0764 −1.06703 −0.533513 0.845792i \(-0.679128\pi\)
−0.533513 + 0.845792i \(0.679128\pi\)
\(228\) −1.09012 + 8.46222i −0.0721951 + 0.560424i
\(229\) −9.96840 −0.658730 −0.329365 0.944203i \(-0.606835\pi\)
−0.329365 + 0.944203i \(0.606835\pi\)
\(230\) −2.26839 + 3.92897i −0.149573 + 0.259068i
\(231\) 3.98282 0.931325i 0.262050 0.0612767i
\(232\) 3.85578 + 6.67840i 0.253144 + 0.438458i
\(233\) 8.27045 + 14.3248i 0.541815 + 0.938451i 0.998800 + 0.0489765i \(0.0155959\pi\)
−0.456985 + 0.889474i \(0.651071\pi\)
\(234\) −1.72211 0.451180i −0.112578 0.0294946i
\(235\) −18.7824 + 32.5321i −1.22523 + 2.12216i
\(236\) 1.58955 2.75319i 0.103471 0.179217i
\(237\) 0.398143 3.09063i 0.0258621 0.200758i
\(238\) −0.114865 0.307191i −0.00744560 0.0199122i
\(239\) −11.0119 + 19.0732i −0.712303 + 1.23375i 0.251687 + 0.967809i \(0.419015\pi\)
−0.963990 + 0.265937i \(0.914319\pi\)
\(240\) 2.11248 16.3984i 0.136360 1.05851i
\(241\) 16.7201 1.07703 0.538517 0.842615i \(-0.318985\pi\)
0.538517 + 0.842615i \(0.318985\pi\)
\(242\) −2.52975 + 4.38166i −0.162619 + 0.281664i
\(243\) −6.16526 14.3175i −0.395502 0.918465i
\(244\) −18.9516 −1.21325
\(245\) −24.4404 8.41373i −1.56144 0.537533i
\(246\) 3.26524 + 2.49110i 0.208184 + 0.158827i
\(247\) 3.36069 0.213836
\(248\) −3.33696 5.77978i −0.211897 0.367017i
\(249\) 16.9696 + 12.9464i 1.07541 + 0.820444i
\(250\) −3.32803 + 5.76432i −0.210483 + 0.364568i
\(251\) −8.53099 −0.538471 −0.269236 0.963074i \(-0.586771\pi\)
−0.269236 + 0.963074i \(0.586771\pi\)
\(252\) −12.7014 5.70270i −0.800112 0.359236i
\(253\) −2.21153 −0.139038
\(254\) −0.314743 + 0.545151i −0.0197488 + 0.0342058i
\(255\) 0.204276 1.58572i 0.0127923 0.0993017i
\(256\) 0.123861 + 0.214533i 0.00774131 + 0.0134083i
\(257\) −17.1197 −1.06790 −0.533950 0.845516i \(-0.679293\pi\)
−0.533950 + 0.845516i \(0.679293\pi\)
\(258\) −7.90875 + 3.30173i −0.492377 + 0.205557i
\(259\) 4.38427 + 11.7251i 0.272425 + 0.728563i
\(260\) −7.75135 −0.480718
\(261\) 12.0219 + 3.14965i 0.744137 + 0.194958i
\(262\) −3.72617 + 6.45392i −0.230204 + 0.398725i
\(263\) 20.5527 1.26733 0.633666 0.773607i \(-0.281549\pi\)
0.633666 + 0.773607i \(0.281549\pi\)
\(264\) −2.65576 + 1.10872i −0.163451 + 0.0682370i
\(265\) 18.2585 31.6246i 1.12161 1.94269i
\(266\) −3.63379 0.607968i −0.222802 0.0372769i
\(267\) −3.31514 2.52917i −0.202883 0.154783i
\(268\) 0.902816 1.56372i 0.0551483 0.0955196i
\(269\) 9.92267 17.1866i 0.604996 1.04788i −0.387057 0.922056i \(-0.626508\pi\)
0.992052 0.125827i \(-0.0401585\pi\)
\(270\) 5.85477 + 7.49960i 0.356310 + 0.456411i
\(271\) 5.32056 + 9.21548i 0.323201 + 0.559801i 0.981147 0.193265i \(-0.0619077\pi\)
−0.657946 + 0.753065i \(0.728574\pi\)
\(272\) −0.323121 0.559663i −0.0195921 0.0339345i
\(273\) −1.58860 + 5.24889i −0.0961466 + 0.317677i
\(274\) −0.121114 + 0.209776i −0.00731676 + 0.0126730i
\(275\) −7.70745 −0.464777
\(276\) 5.98496 + 4.56602i 0.360252 + 0.274842i
\(277\) −24.8813 −1.49497 −0.747487 0.664276i \(-0.768740\pi\)
−0.747487 + 0.664276i \(0.768740\pi\)
\(278\) 2.44705 + 4.23841i 0.146764 + 0.254203i
\(279\) −10.4043 2.72585i −0.622889 0.163192i
\(280\) 17.9373 + 3.00109i 1.07196 + 0.179349i
\(281\) −6.83733 11.8426i −0.407881 0.706470i 0.586771 0.809753i \(-0.300399\pi\)
−0.994652 + 0.103282i \(0.967065\pi\)
\(282\) −6.94657 5.29964i −0.413662 0.315589i
\(283\) −3.16089 5.47483i −0.187896 0.325445i 0.756653 0.653817i \(-0.226833\pi\)
−0.944548 + 0.328372i \(0.893500\pi\)
\(284\) −4.33734 7.51249i −0.257374 0.445784i
\(285\) −14.2798 10.8943i −0.845861 0.645320i
\(286\) 0.264830 + 0.458699i 0.0156597 + 0.0271234i
\(287\) 8.04710 9.76255i 0.475005 0.576265i
\(288\) 14.5247 + 3.80537i 0.855878 + 0.224234i
\(289\) 8.46875 + 14.6683i 0.498162 + 0.862842i
\(290\) −7.58515 −0.445415
\(291\) 15.2085 + 11.6028i 0.891538 + 0.680168i
\(292\) −3.21095 −0.187907
\(293\) −1.31508 + 2.27778i −0.0768277 + 0.133069i −0.901880 0.431987i \(-0.857812\pi\)
0.825052 + 0.565057i \(0.191146\pi\)
\(294\) 2.66725 5.38804i 0.155557 0.314237i
\(295\) 3.34616 + 5.79573i 0.194821 + 0.337440i
\(296\) −4.40382 7.62764i −0.255967 0.443348i
\(297\) −1.73902 + 4.29955i −0.100908 + 0.249485i
\(298\) 5.21256 9.02841i 0.301955 0.523002i
\(299\) 1.48255 2.56786i 0.0857384 0.148503i
\(300\) 20.8583 + 15.9131i 1.20426 + 0.918745i
\(301\) 9.24656 + 24.7286i 0.532963 + 1.42533i
\(302\) 0.371500 0.643457i 0.0213774 0.0370268i
\(303\) −4.15515 + 1.73468i −0.238707 + 0.0996550i
\(304\) −7.25980 −0.416378
\(305\) 19.9475 34.5501i 1.14219 1.97833i
\(306\) 0.359735 + 0.0942478i 0.0205647 + 0.00538779i
\(307\) −2.79496 −0.159517 −0.0797583 0.996814i \(-0.525415\pi\)
−0.0797583 + 0.996814i \(0.525415\pi\)
\(308\) 1.45081 + 3.87999i 0.0826677 + 0.221083i
\(309\) 15.5225 6.48030i 0.883045 0.368652i
\(310\) 6.56452 0.372840
\(311\) 7.55013 + 13.0772i 0.428129 + 0.741541i 0.996707 0.0810885i \(-0.0258396\pi\)
−0.568578 + 0.822629i \(0.692506\pi\)
\(312\) 0.492993 3.82692i 0.0279102 0.216657i
\(313\) 12.7392 22.0650i 0.720064 1.24719i −0.240910 0.970548i \(-0.577446\pi\)
0.960974 0.276640i \(-0.0892209\pi\)
\(314\) 8.27090 0.466754
\(315\) 23.7652 17.1531i 1.33902 0.966467i
\(316\) 3.15587 0.177531
\(317\) −16.2605 + 28.1639i −0.913278 + 1.58184i −0.103875 + 0.994590i \(0.533124\pi\)
−0.809403 + 0.587253i \(0.800209\pi\)
\(318\) 6.75279 + 5.15181i 0.378678 + 0.288899i
\(319\) −1.84875 3.20214i −0.103510 0.179285i
\(320\) 9.92743 0.554960
\(321\) −15.0106 11.4518i −0.837811 0.639179i
\(322\) −2.06757 + 2.50833i −0.115221 + 0.139784i
\(323\) −0.702021 −0.0390615
\(324\) 13.5833 8.04522i 0.754625 0.446957i
\(325\) 5.16688 8.94931i 0.286607 0.496418i
\(326\) −3.31373 −0.183531
\(327\) −0.469578 + 3.64516i −0.0259677 + 0.201578i
\(328\) −4.45083 + 7.70906i −0.245756 + 0.425661i
\(329\) −17.1196 + 20.7691i −0.943836 + 1.14504i
\(330\) 0.361672 2.80753i 0.0199094 0.154549i
\(331\) −9.04741 + 15.6706i −0.497291 + 0.861333i −0.999995 0.00312545i \(-0.999005\pi\)
0.502704 + 0.864458i \(0.332338\pi\)
\(332\) −10.8081 + 18.7201i −0.593170 + 1.02740i
\(333\) −13.7307 3.59733i −0.752435 0.197132i
\(334\) −4.37132 7.57135i −0.239188 0.414286i
\(335\) 1.90051 + 3.29179i 0.103836 + 0.179850i
\(336\) 3.43171 11.3387i 0.187215 0.618577i
\(337\) −12.5086 + 21.6656i −0.681389 + 1.18020i 0.293168 + 0.956061i \(0.405290\pi\)
−0.974557 + 0.224139i \(0.928043\pi\)
\(338\) 5.73615 0.312005
\(339\) 3.50234 27.1874i 0.190221 1.47662i
\(340\) 1.61919 0.0878130
\(341\) 1.59999 + 2.77127i 0.0866446 + 0.150073i
\(342\) 2.93752 2.97041i 0.158843 0.160621i
\(343\) −16.2768 8.83553i −0.878863 0.477074i
\(344\) −9.28778 16.0869i −0.500764 0.867348i
\(345\) −14.6236 + 6.10503i −0.787309 + 0.328684i
\(346\) −0.963682 1.66915i −0.0518078 0.0897338i
\(347\) −5.37444 9.30881i −0.288515 0.499723i 0.684940 0.728599i \(-0.259828\pi\)
−0.973456 + 0.228876i \(0.926495\pi\)
\(348\) −1.60807 + 12.4828i −0.0862013 + 0.669149i
\(349\) −1.64301 2.84577i −0.0879482 0.152331i 0.818695 0.574228i \(-0.194698\pi\)
−0.906644 + 0.421897i \(0.861364\pi\)
\(350\) −7.20574 + 8.74183i −0.385163 + 0.467270i
\(351\) −3.82651 4.90153i −0.204244 0.261624i
\(352\) −2.23365 3.86879i −0.119054 0.206207i
\(353\) 16.8192 0.895195 0.447598 0.894235i \(-0.352280\pi\)
0.447598 + 0.894235i \(0.352280\pi\)
\(354\) −1.43644 + 0.599681i −0.0763458 + 0.0318727i
\(355\) 18.2610 0.969195
\(356\) 2.11144 3.65711i 0.111906 0.193827i
\(357\) 0.331846 1.09645i 0.0175631 0.0580302i
\(358\) −1.81864 3.14997i −0.0961180 0.166481i
\(359\) 11.8921 + 20.5978i 0.627642 + 1.08711i 0.988024 + 0.154303i \(0.0493131\pi\)
−0.360382 + 0.932805i \(0.617354\pi\)
\(360\) −14.5004 + 14.6627i −0.764237 + 0.772792i
\(361\) 5.55680 9.62466i 0.292463 0.506561i
\(362\) 2.79088 4.83395i 0.146686 0.254067i
\(363\) −16.3085 + 6.80845i −0.855976 + 0.357351i
\(364\) −5.47774 0.916478i −0.287112 0.0480365i
\(365\) 3.37968 5.85377i 0.176900 0.306401i
\(366\) 7.37747 + 5.62838i 0.385626 + 0.294200i
\(367\) −0.689984 −0.0360169 −0.0180084 0.999838i \(-0.505733\pi\)
−0.0180084 + 0.999838i \(0.505733\pi\)
\(368\) −3.20263 + 5.54712i −0.166949 + 0.289164i
\(369\) 3.78998 + 13.8359i 0.197298 + 0.720267i
\(370\) 8.66327 0.450382
\(371\) 16.6421 20.1898i 0.864014 1.04820i
\(372\) 1.39169 10.8032i 0.0721558 0.560119i
\(373\) −3.76012 −0.194691 −0.0973457 0.995251i \(-0.531035\pi\)
−0.0973457 + 0.995251i \(0.531035\pi\)
\(374\) −0.0553208 0.0958184i −0.00286057 0.00495465i
\(375\) −21.4548 + 8.95690i −1.10792 + 0.462532i
\(376\) 9.46882 16.4005i 0.488317 0.845790i
\(377\) 4.95744 0.255321
\(378\) 3.25075 + 5.99207i 0.167201 + 0.308199i
\(379\) 32.8735 1.68860 0.844300 0.535872i \(-0.180017\pi\)
0.844300 + 0.535872i \(0.180017\pi\)
\(380\) 9.09489 15.7528i 0.466558 0.808102i
\(381\) −2.02905 + 0.847085i −0.103952 + 0.0433975i
\(382\) −5.91222 10.2403i −0.302495 0.523937i
\(383\) −1.07267 −0.0548109 −0.0274055 0.999624i \(-0.508725\pi\)
−0.0274055 + 0.999624i \(0.508725\pi\)
\(384\) −2.51021 + 19.4858i −0.128099 + 0.994381i
\(385\) −8.60053 1.43895i −0.438324 0.0733357i
\(386\) −2.94276 −0.149782
\(387\) −28.9583 7.58687i −1.47204 0.385662i
\(388\) −9.68640 + 16.7773i −0.491752 + 0.851740i
\(389\) −23.7436 −1.20385 −0.601925 0.798553i \(-0.705599\pi\)
−0.601925 + 0.798553i \(0.705599\pi\)
\(390\) 3.01743 + 2.30204i 0.152794 + 0.116569i
\(391\) −0.309693 + 0.536405i −0.0156619 + 0.0271271i
\(392\) 12.3212 + 4.24163i 0.622313 + 0.214235i
\(393\) −24.0215 + 10.0284i −1.21172 + 0.505868i
\(394\) −3.83510 + 6.64258i −0.193209 + 0.334648i
\(395\) −3.32170 + 5.75336i −0.167133 + 0.289483i
\(396\) −4.54365 1.19040i −0.228327 0.0598200i
\(397\) −0.0160489 0.0277975i −0.000805471 0.00139512i 0.865622 0.500697i \(-0.166923\pi\)
−0.866428 + 0.499302i \(0.833590\pi\)
\(398\) −3.84208 6.65467i −0.192586 0.333569i
\(399\) −8.80319 9.38714i −0.440711 0.469945i
\(400\) −11.1616 + 19.3324i −0.558078 + 0.966619i
\(401\) 24.5256 1.22475 0.612374 0.790568i \(-0.290215\pi\)
0.612374 + 0.790568i \(0.290215\pi\)
\(402\) −0.815851 + 0.340600i −0.0406910 + 0.0169876i
\(403\) −4.29039 −0.213719
\(404\) −2.28004 3.94914i −0.113436 0.196477i
\(405\) 0.369938 + 33.2312i 0.0183824 + 1.65127i
\(406\) −5.36029 0.896827i −0.266027 0.0445088i
\(407\) 2.11153 + 3.65728i 0.104665 + 0.181284i
\(408\) −0.102982 + 0.799412i −0.00509838 + 0.0395768i
\(409\) −13.3948 23.2006i −0.662333 1.14719i −0.980001 0.198992i \(-0.936233\pi\)
0.317669 0.948202i \(-0.397100\pi\)
\(410\) −4.37787 7.58269i −0.216208 0.374483i
\(411\) −0.780785 + 0.325960i −0.0385133 + 0.0160784i
\(412\) 8.51759 + 14.7529i 0.419631 + 0.726823i
\(413\) 1.67942 + 4.49137i 0.0826388 + 0.221006i
\(414\) −0.973773 3.55490i −0.0478583 0.174714i
\(415\) −22.7520 39.4077i −1.11685 1.93445i
\(416\) 5.98952 0.293660
\(417\) −2.18416 + 16.9548i −0.106959 + 0.830280i
\(418\) −1.24293 −0.0607938
\(419\) −10.5262 + 18.2320i −0.514240 + 0.890689i 0.485624 + 0.874168i \(0.338593\pi\)
−0.999864 + 0.0165215i \(0.994741\pi\)
\(420\) 20.3043 + 21.6512i 0.990749 + 1.05647i
\(421\) −7.44533 12.8957i −0.362863 0.628498i 0.625568 0.780170i \(-0.284867\pi\)
−0.988431 + 0.151672i \(0.951534\pi\)
\(422\) −0.382760 0.662959i −0.0186325 0.0322724i
\(423\) −8.06290 29.4349i −0.392032 1.43117i
\(424\) −9.20469 + 15.9430i −0.447019 + 0.774260i
\(425\) −1.07932 + 1.86944i −0.0523547 + 0.0906809i
\(426\) −0.542675 + 4.21258i −0.0262927 + 0.204100i
\(427\) 18.1816 22.0575i 0.879868 1.06744i
\(428\) 9.56037 16.5590i 0.462118 0.800412i
\(429\) −0.236379 + 1.83492i −0.0114125 + 0.0885908i
\(430\) 18.2711 0.881110
\(431\) −7.95192 + 13.7731i −0.383031 + 0.663428i −0.991494 0.130154i \(-0.958453\pi\)
0.608463 + 0.793582i \(0.291786\pi\)
\(432\) 8.26607 + 10.5883i 0.397702 + 0.509431i
\(433\) −16.3658 −0.786490 −0.393245 0.919434i \(-0.628648\pi\)
−0.393245 + 0.919434i \(0.628648\pi\)
\(434\) 4.63903 + 0.776154i 0.222681 + 0.0372566i
\(435\) −21.0644 16.0704i −1.00996 0.770515i
\(436\) −3.72210 −0.178256
\(437\) 3.47905 + 6.02590i 0.166426 + 0.288258i
\(438\) 1.24995 + 0.953608i 0.0597251 + 0.0455652i
\(439\) 7.77236 13.4621i 0.370954 0.642512i −0.618758 0.785582i \(-0.712364\pi\)
0.989713 + 0.143070i \(0.0456973\pi\)
\(440\) 6.13543 0.292495
\(441\) 18.8225 9.31192i 0.896312 0.443425i
\(442\) 0.148343 0.00705594
\(443\) −0.895027 + 1.55023i −0.0425240 + 0.0736537i −0.886504 0.462721i \(-0.846873\pi\)
0.843980 + 0.536375i \(0.180207\pi\)
\(444\) 1.83663 14.2571i 0.0871625 0.676611i
\(445\) 4.44477 + 7.69857i 0.210702 + 0.364947i
\(446\) −2.69922 −0.127812
\(447\) 33.6038 14.0288i 1.58940 0.663540i
\(448\) 7.01554 + 1.17377i 0.331453 + 0.0554553i
\(449\) 13.5666 0.640250 0.320125 0.947375i \(-0.396275\pi\)
0.320125 + 0.947375i \(0.396275\pi\)
\(450\) −3.39372 12.3893i −0.159981 0.584036i
\(451\) 2.13407 3.69631i 0.100489 0.174053i
\(452\) 27.7612 1.30578
\(453\) 2.39495 0.999837i 0.112524 0.0469764i
\(454\) −3.98588 + 6.90375i −0.187067 + 0.324009i
\(455\) 7.43638 9.02164i 0.348623 0.422941i
\(456\) 7.19889 + 5.49214i 0.337119 + 0.257193i
\(457\) −1.28459 + 2.22497i −0.0600905 + 0.104080i −0.894506 0.447057i \(-0.852472\pi\)
0.834415 + 0.551136i \(0.185806\pi\)
\(458\) −2.47151 + 4.28078i −0.115486 + 0.200028i
\(459\) 0.799326 + 1.02389i 0.0373094 + 0.0477910i
\(460\) −8.02434 13.8986i −0.374137 0.648024i
\(461\) 18.0934 + 31.3388i 0.842695 + 1.45959i 0.887608 + 0.460600i \(0.152366\pi\)
−0.0449122 + 0.998991i \(0.514301\pi\)
\(462\) 0.587535 1.94127i 0.0273346 0.0903160i
\(463\) 8.19224 14.1894i 0.380726 0.659436i −0.610440 0.792062i \(-0.709008\pi\)
0.991166 + 0.132626i \(0.0423409\pi\)
\(464\) −10.7091 −0.497158
\(465\) 18.2301 + 13.9080i 0.845400 + 0.644968i
\(466\) 8.20210 0.379955
\(467\) −4.35022 7.53480i −0.201304 0.348669i 0.747645 0.664099i \(-0.231185\pi\)
−0.948949 + 0.315430i \(0.897851\pi\)
\(468\) 4.42815 4.47772i 0.204692 0.206983i
\(469\) 0.953856 + 2.55095i 0.0440450 + 0.117792i
\(470\) 9.31361 + 16.1316i 0.429605 + 0.744097i
\(471\) 22.9688 + 17.5233i 1.05835 + 0.807429i
\(472\) −1.68691 2.92181i −0.0776462 0.134487i
\(473\) 4.45328 + 7.71330i 0.204762 + 0.354658i
\(474\) −1.22851 0.937250i −0.0564274 0.0430493i
\(475\) 12.1249 + 21.0010i 0.556330 + 0.963591i
\(476\) 1.14425 + 0.191445i 0.0524468 + 0.00877485i
\(477\) 7.83799 + 28.6138i 0.358877 + 1.31014i
\(478\) 5.46047 + 9.45782i 0.249756 + 0.432591i
\(479\) −17.7674 −0.811813 −0.405907 0.913915i \(-0.633044\pi\)
−0.405907 + 0.913915i \(0.633044\pi\)
\(480\) −25.4498 19.4160i −1.16162 0.886217i
\(481\) −5.66207 −0.258168
\(482\) 4.14548 7.18018i 0.188821 0.327048i
\(483\) −11.0561 + 2.58530i −0.503069 + 0.117635i
\(484\) −8.94890 15.4999i −0.406768 0.704543i
\(485\) −20.3908 35.3179i −0.925898 1.60370i
\(486\) −7.67699 0.902212i −0.348235 0.0409251i
\(487\) 8.32763 14.4239i 0.377361 0.653608i −0.613316 0.789837i \(-0.710165\pi\)
0.990677 + 0.136229i \(0.0434983\pi\)
\(488\) −10.0562 + 17.4178i −0.455222 + 0.788467i
\(489\) −9.20245 7.02068i −0.416149 0.317486i
\(490\) −9.67274 + 8.40948i −0.436970 + 0.379902i
\(491\) −3.21021 + 5.56025i −0.144875 + 0.250930i −0.929326 0.369260i \(-0.879611\pi\)
0.784451 + 0.620190i \(0.212945\pi\)
\(492\) −13.4069 + 5.59708i −0.604429 + 0.252336i
\(493\) −1.03557 −0.0466396
\(494\) 0.833230 1.44320i 0.0374888 0.0649325i
\(495\) 6.95259 7.03042i 0.312496 0.315994i
\(496\) 9.26814 0.416152
\(497\) 12.9047 + 2.15909i 0.578857 + 0.0968483i
\(498\) 9.76698 4.07750i 0.437669 0.182717i
\(499\) 11.1459 0.498960 0.249480 0.968380i \(-0.419740\pi\)
0.249480 + 0.968380i \(0.419740\pi\)
\(500\) −11.7728 20.3911i −0.526495 0.911916i
\(501\) 3.90170 30.2875i 0.174315 1.35314i
\(502\) −2.11512 + 3.66350i −0.0944026 + 0.163510i
\(503\) −17.7223 −0.790200 −0.395100 0.918638i \(-0.629290\pi\)
−0.395100 + 0.918638i \(0.629290\pi\)
\(504\) −11.9808 + 8.64742i −0.533667 + 0.385187i
\(505\) 9.59939 0.427167
\(506\) −0.548314 + 0.949708i −0.0243755 + 0.0422197i
\(507\) 15.9296 + 12.1530i 0.707460 + 0.539732i
\(508\) −1.11339 1.92845i −0.0493988 0.0855612i
\(509\) 31.0823 1.37770 0.688848 0.724906i \(-0.258117\pi\)
0.688848 + 0.724906i \(0.258117\pi\)
\(510\) −0.630316 0.480878i −0.0279109 0.0212936i
\(511\) 3.08048 3.73716i 0.136272 0.165322i
\(512\) −22.5634 −0.997169
\(513\) 14.4510 2.02539i 0.638026 0.0894230i
\(514\) −4.24456 + 7.35180i −0.187220 + 0.324274i
\(515\) −35.8607 −1.58021
\(516\) 3.87350 30.0686i 0.170522 1.32370i
\(517\) −4.54008 + 7.86365i −0.199672 + 0.345843i
\(518\) 6.12218 + 1.02430i 0.268993 + 0.0450051i
\(519\) 0.860152 6.67704i 0.0377565 0.293089i
\(520\) −4.11304 + 7.12399i −0.180369 + 0.312408i
\(521\) −2.37986 + 4.12203i −0.104263 + 0.180590i −0.913437 0.406980i \(-0.866582\pi\)
0.809174 + 0.587570i \(0.199915\pi\)
\(522\) 4.33321 4.38172i 0.189659 0.191783i
\(523\) 20.1258 + 34.8588i 0.880038 + 1.52427i 0.851298 + 0.524683i \(0.175816\pi\)
0.0287402 + 0.999587i \(0.490850\pi\)
\(524\) −13.1812 22.8305i −0.575823 0.997355i
\(525\) −38.5318 + 9.01009i −1.68166 + 0.393233i
\(526\) 5.09571 8.82602i 0.222183 0.384833i
\(527\) 0.896226 0.0390402
\(528\) 0.510628 3.96382i 0.0222222 0.172503i
\(529\) −16.8609 −0.733084
\(530\) −9.05381 15.6817i −0.393272 0.681168i
\(531\) −5.25960 1.37798i −0.228247 0.0597991i
\(532\) 8.28972 10.0569i 0.359405 0.436022i
\(533\) 2.86125 + 4.95583i 0.123935 + 0.214661i
\(534\) −1.90805 + 0.796568i −0.0825693 + 0.0344709i
\(535\) 20.1255 + 34.8584i 0.870101 + 1.50706i
\(536\) −0.958109 1.65949i −0.0413840 0.0716792i
\(537\) 1.62326 12.6008i 0.0700488 0.543763i
\(538\) −4.92033 8.52227i −0.212131 0.367421i
\(539\) −5.90771 2.03376i −0.254463 0.0876003i
\(540\) −33.3308 + 4.67150i −1.43433 + 0.201029i
\(541\) 12.0547 + 20.8794i 0.518273 + 0.897675i 0.999775 + 0.0212301i \(0.00675826\pi\)
−0.481502 + 0.876445i \(0.659908\pi\)
\(542\) 5.27659 0.226649
\(543\) 17.9920 7.51125i 0.772109 0.322339i
\(544\) −1.25116 −0.0536431
\(545\) 3.91769 6.78564i 0.167815 0.290665i
\(546\) 1.86018 + 1.98358i 0.0796085 + 0.0848893i
\(547\) −6.17751 10.6998i −0.264131 0.457489i 0.703204 0.710988i \(-0.251752\pi\)
−0.967336 + 0.253499i \(0.918419\pi\)
\(548\) −0.428436 0.742073i −0.0183019 0.0316998i
\(549\) 8.56305 + 31.2607i 0.365462 + 1.33418i
\(550\) −1.91094 + 3.30985i −0.0814828 + 0.141132i
\(551\) −5.81671 + 10.0748i −0.247800 + 0.429203i
\(552\) 7.37223 3.07774i 0.313783 0.130997i
\(553\) −3.02763 + 3.67306i −0.128748 + 0.156194i
\(554\) −6.16893 + 10.6849i −0.262093 + 0.453958i
\(555\) 24.0584 + 18.3545i 1.02122 + 0.779107i
\(556\) −17.3127 −0.734220
\(557\) 4.03845 6.99479i 0.171114 0.296379i −0.767695 0.640815i \(-0.778597\pi\)
0.938810 + 0.344436i \(0.111930\pi\)
\(558\) −3.75015 + 3.79213i −0.158757 + 0.160534i
\(559\) −11.9415 −0.505070
\(560\) −16.0641 + 19.4887i −0.678834 + 0.823546i
\(561\) 0.0493776 0.383300i 0.00208472 0.0161829i
\(562\) −6.78083 −0.286032
\(563\) −22.6064 39.1554i −0.952744 1.65020i −0.739448 0.673214i \(-0.764913\pi\)
−0.213296 0.976988i \(-0.568420\pi\)
\(564\) 28.5222 11.9074i 1.20100 0.501391i
\(565\) −29.2200 + 50.6106i −1.22930 + 2.12920i
\(566\) −3.13477 −0.131764
\(567\) −3.66765 + 23.5276i −0.154027 + 0.988067i
\(568\) −9.20596 −0.386274
\(569\) −11.2149 + 19.4248i −0.470155 + 0.814332i −0.999418 0.0341263i \(-0.989135\pi\)
0.529263 + 0.848458i \(0.322468\pi\)
\(570\) −8.21881 + 3.43117i −0.344248 + 0.143716i
\(571\) 10.9134 + 18.9026i 0.456713 + 0.791050i 0.998785 0.0492820i \(-0.0156933\pi\)
−0.542072 + 0.840332i \(0.682360\pi\)
\(572\) −1.87365 −0.0783413
\(573\) 5.27706 40.9638i 0.220452 1.71129i
\(574\) −2.19723 5.87617i −0.0917104 0.245267i
\(575\) 21.3954 0.892251
\(576\) −5.67130 + 5.73479i −0.236304 + 0.238949i
\(577\) −16.1022 + 27.8898i −0.670342 + 1.16107i 0.307465 + 0.951559i \(0.400519\pi\)
−0.977807 + 0.209508i \(0.932814\pi\)
\(578\) 8.39877 0.349343
\(579\) −8.17222 6.23471i −0.339626 0.259106i
\(580\) 13.4161 23.2373i 0.557072 0.964878i
\(581\) −11.4191 30.5388i −0.473744 1.26696i
\(582\) 8.75335 3.65433i 0.362838 0.151477i
\(583\) 4.41343 7.64429i 0.182786 0.316594i
\(584\) −1.70380 + 2.95107i −0.0705039 + 0.122116i
\(585\) 3.50234 + 12.7858i 0.144804 + 0.528629i
\(586\) 0.652105 + 1.12948i 0.0269382 + 0.0466584i
\(587\) −9.72304 16.8408i −0.401313 0.695094i 0.592572 0.805518i \(-0.298113\pi\)
−0.993885 + 0.110424i \(0.964779\pi\)
\(588\) 11.7888 + 17.7012i 0.486161 + 0.729984i
\(589\) 5.03404 8.71921i 0.207424 0.359269i
\(590\) 3.31851 0.136621
\(591\) −24.7237 + 10.3216i −1.01700 + 0.424574i
\(592\) 12.2313 0.502701
\(593\) −14.4202 24.9766i −0.592168 1.02566i −0.993940 0.109925i \(-0.964939\pi\)
0.401772 0.915740i \(-0.368394\pi\)
\(594\) 1.41521 + 1.81280i 0.0580669 + 0.0743801i
\(595\) −1.55340 + 1.88455i −0.0636831 + 0.0772589i
\(596\) 18.4392 + 31.9377i 0.755300 + 1.30822i
\(597\) 3.42932 26.6205i 0.140353 1.08950i
\(598\) −0.735152 1.27332i −0.0300626 0.0520699i
\(599\) 23.4994 + 40.7022i 0.960161 + 1.66305i 0.722089 + 0.691800i \(0.243182\pi\)
0.238072 + 0.971247i \(0.423484\pi\)
\(600\) 25.6931 10.7263i 1.04892 0.437899i
\(601\) −7.80843 13.5246i −0.318512 0.551680i 0.661665 0.749799i \(-0.269850\pi\)
−0.980178 + 0.198119i \(0.936517\pi\)
\(602\) 12.9119 + 2.16028i 0.526248 + 0.0880463i
\(603\) −2.98729 0.782646i −0.121652 0.0318718i
\(604\) 1.31417 + 2.27620i 0.0534727 + 0.0926174i
\(605\) 37.6766 1.53177
\(606\) −0.285271 + 2.21445i −0.0115883 + 0.0899560i
\(607\) −28.6532 −1.16300 −0.581500 0.813547i \(-0.697534\pi\)
−0.581500 + 0.813547i \(0.697534\pi\)
\(608\) −7.02769 + 12.1723i −0.285010 + 0.493652i
\(609\) −12.9858 13.8472i −0.526211 0.561116i
\(610\) −9.89134 17.1323i −0.400489 0.693667i
\(611\) −6.08711 10.5432i −0.246258 0.426531i
\(612\) −0.925004 + 0.935359i −0.0373911 + 0.0378097i
\(613\) 14.6734 25.4151i 0.592653 1.02651i −0.401220 0.915982i \(-0.631414\pi\)
0.993873 0.110524i \(-0.0352529\pi\)
\(614\) −0.692965 + 1.20025i −0.0279658 + 0.0484382i
\(615\) 3.90755 30.3328i 0.157568 1.22314i
\(616\) 4.33580 + 0.725421i 0.174694 + 0.0292280i
\(617\) 2.06401 3.57497i 0.0830938 0.143923i −0.821484 0.570232i \(-0.806853\pi\)
0.904577 + 0.426310i \(0.140187\pi\)
\(618\) 1.06569 8.27259i 0.0428685 0.332772i
\(619\) 22.7130 0.912912 0.456456 0.889746i \(-0.349119\pi\)
0.456456 + 0.889746i \(0.349119\pi\)
\(620\) −11.6109 + 20.1106i −0.466304 + 0.807662i
\(621\) 4.82742 11.9353i 0.193718 0.478947i
\(622\) 7.48774 0.300231
\(623\) 2.23080 + 5.96597i 0.0893753 + 0.239022i
\(624\) 4.26017 + 3.25014i 0.170543 + 0.130110i
\(625\) 6.38996 0.255598
\(626\) −6.31698 10.9413i −0.252477 0.437304i
\(627\) −3.45170 2.63335i −0.137848 0.105166i
\(628\) −14.6290 + 25.3382i −0.583761 + 1.01110i
\(629\) 1.18276 0.0471597
\(630\) −1.47392 14.4584i −0.0587226 0.576038i
\(631\) −38.6411 −1.53828 −0.769138 0.639082i \(-0.779314\pi\)
−0.769138 + 0.639082i \(0.779314\pi\)
\(632\) 1.67458 2.90045i 0.0666110 0.115374i
\(633\) 0.341639 2.65202i 0.0135789 0.105408i
\(634\) 8.06304 + 13.9656i 0.320224 + 0.554645i
\(635\) 4.68759 0.186021
\(636\) −27.7266 + 11.5752i −1.09943 + 0.458988i
\(637\) 6.32183 5.49620i 0.250480 0.217767i
\(638\) −1.83348 −0.0725881
\(639\) −10.4321 + 10.5489i −0.412687 + 0.417306i
\(640\) 20.9427 36.2737i 0.827831 1.43385i
\(641\) −28.4726 −1.12460 −0.562301 0.826933i \(-0.690084\pi\)
−0.562301 + 0.826933i \(0.690084\pi\)
\(642\) −8.63946 + 3.60678i −0.340972 + 0.142348i
\(643\) −8.52125 + 14.7592i −0.336045 + 0.582048i −0.983685 0.179899i \(-0.942423\pi\)
0.647640 + 0.761947i \(0.275756\pi\)
\(644\) −4.02737 10.7706i −0.158700 0.424422i
\(645\) 50.7400 + 38.7103i 1.99788 + 1.52422i
\(646\) −0.174055 + 0.301472i −0.00684810 + 0.0118613i
\(647\) 1.68809 2.92386i 0.0663657 0.114949i −0.830933 0.556372i \(-0.812193\pi\)
0.897299 + 0.441423i \(0.145526\pi\)
\(648\) −0.186497 16.7529i −0.00732631 0.658115i
\(649\) 0.808833 + 1.40094i 0.0317495 + 0.0549917i
\(650\) −2.56209 4.43768i −0.100494 0.174060i
\(651\) 11.2385 + 11.9840i 0.440471 + 0.469689i
\(652\) 5.86110 10.1517i 0.229538 0.397572i
\(653\) −18.3451 −0.717899 −0.358950 0.933357i \(-0.616865\pi\)
−0.358950 + 0.933357i \(0.616865\pi\)
\(654\) 1.44893 + 1.10541i 0.0566578 + 0.0432251i
\(655\) 55.4954 2.16838
\(656\) −6.18090 10.7056i −0.241324 0.417985i
\(657\) 1.45083 + 5.29646i 0.0566021 + 0.206635i
\(658\) 4.67444 + 12.5011i 0.182229 + 0.487345i
\(659\) −13.9248 24.1184i −0.542432 0.939519i −0.998764 0.0497098i \(-0.984170\pi\)
0.456332 0.889810i \(-0.349163\pi\)
\(660\) 7.96125 + 6.07376i 0.309891 + 0.236421i
\(661\) −19.5071 33.7872i −0.758737 1.31417i −0.943495 0.331387i \(-0.892484\pi\)
0.184758 0.982784i \(-0.440850\pi\)
\(662\) 4.48633 + 7.77054i 0.174366 + 0.302011i
\(663\) 0.411957 + 0.314288i 0.0159991 + 0.0122059i
\(664\) 11.4700 + 19.8667i 0.445123 + 0.770976i
\(665\) 9.60906 + 25.6981i 0.372624 + 0.996529i
\(666\) −4.94911 + 5.00452i −0.191774 + 0.193921i
\(667\) 5.13203 + 8.88894i 0.198713 + 0.344181i
\(668\) 30.9268 1.19659
\(669\) −7.49590 5.71873i −0.289808 0.221099i
\(670\) 1.88481 0.0728165
\(671\) 4.82170 8.35143i 0.186140 0.322404i
\(672\) −15.6893 16.7300i −0.605227 0.645375i
\(673\) 24.6154 + 42.6352i 0.948856 + 1.64347i 0.747841 + 0.663878i \(0.231090\pi\)
0.201014 + 0.979588i \(0.435576\pi\)
\(674\) 6.20264 + 10.7433i 0.238917 + 0.413816i
\(675\) 16.8241 41.5959i 0.647561 1.60103i
\(676\) −10.1457 + 17.5729i −0.390219 + 0.675879i
\(677\) 11.6958 20.2577i 0.449505 0.778565i −0.548849 0.835922i \(-0.684934\pi\)
0.998354 + 0.0573564i \(0.0182671\pi\)
\(678\) −10.8069 8.24471i −0.415035 0.316636i
\(679\) −10.2340 27.3694i −0.392745 1.05034i
\(680\) 0.859180 1.48814i 0.0329480 0.0570677i
\(681\) −25.6958 + 10.7274i −0.984663 + 0.411075i
\(682\) 1.58677 0.0607607
\(683\) −15.1632 + 26.2634i −0.580204 + 1.00494i 0.415251 + 0.909707i \(0.363694\pi\)
−0.995455 + 0.0952356i \(0.969640\pi\)
\(684\) 3.90425 + 14.2530i 0.149283 + 0.544979i
\(685\) 1.80380 0.0689196
\(686\) −7.82985 + 4.79918i −0.298945 + 0.183234i
\(687\) −15.9330 + 6.65169i −0.607884 + 0.253778i
\(688\) 25.7961 0.983466
\(689\) 5.91731 + 10.2491i 0.225432 + 0.390459i
\(690\) −1.00398 + 7.79353i −0.0382209 + 0.296695i
\(691\) 2.05665 3.56223i 0.0782387 0.135513i −0.824251 0.566224i \(-0.808404\pi\)
0.902490 + 0.430711i \(0.141737\pi\)
\(692\) 6.81797 0.259180
\(693\) 5.74451 4.14624i 0.218216 0.157503i
\(694\) −5.33003 −0.202325
\(695\) 18.2224 31.5621i 0.691215 1.19722i
\(696\) 10.6192 + 8.10158i 0.402522 + 0.307090i
\(697\) −0.597691 1.03523i −0.0226392 0.0392122i
\(698\) −1.62943 −0.0616749
\(699\) 22.7778 + 17.3775i 0.861534 + 0.657277i
\(700\) −14.0359 37.5369i −0.530506 1.41876i
\(701\) 29.1835 1.10225 0.551123 0.834424i \(-0.314200\pi\)
0.551123 + 0.834424i \(0.314200\pi\)
\(702\) −3.05361 + 0.427980i −0.115251 + 0.0161531i
\(703\) 6.64347 11.5068i 0.250563 0.433988i
\(704\) 2.39965 0.0904403
\(705\) −8.31303 + 64.5310i −0.313087 + 2.43038i
\(706\) 4.17005 7.22274i 0.156942 0.271831i
\(707\) 6.78372 + 1.13498i 0.255128 + 0.0426853i
\(708\) 0.703531 5.46125i 0.0264403 0.205246i
\(709\) 21.2309 36.7729i 0.797342 1.38104i −0.123999 0.992282i \(-0.539572\pi\)
0.921341 0.388755i \(-0.127095\pi\)
\(710\) 4.52753 7.84192i 0.169915 0.294302i
\(711\) −1.42594 5.20560i −0.0534768 0.195225i
\(712\) −2.24075 3.88109i −0.0839757 0.145450i
\(713\) −4.44149 7.69288i −0.166335 0.288101i
\(714\) −0.388577 0.414353i −0.0145421 0.0155068i
\(715\) 1.97211 3.41579i 0.0737526 0.127743i
\(716\) 12.8667 0.480852
\(717\) −4.87385 + 37.8339i −0.182017 + 1.41293i
\(718\) 11.7938 0.440142
\(719\) −5.57126 9.64970i −0.207773 0.359873i 0.743240 0.669025i \(-0.233288\pi\)
−0.951013 + 0.309152i \(0.899955\pi\)
\(720\) −7.56580 27.6201i −0.281961 1.02934i
\(721\) −25.3421 4.23997i −0.943789 0.157905i
\(722\) −2.75544 4.77256i −0.102547 0.177616i
\(723\) 26.7246 11.1569i 0.993899 0.414931i
\(724\) 9.87264 + 17.0999i 0.366914 + 0.635513i
\(725\) 17.8858 + 30.9790i 0.664260 + 1.15053i
\(726\) −1.11966 + 8.69150i −0.0415544 + 0.322572i
\(727\) −14.3410 24.8393i −0.531878 0.921239i −0.999308 0.0372089i \(-0.988153\pi\)
0.467430 0.884030i \(-0.345180\pi\)
\(728\) −3.74892 + 4.54810i −0.138944 + 0.168564i
\(729\) −19.4080 18.7704i −0.718815 0.695202i
\(730\) −1.67588 2.90270i −0.0620269 0.107434i
\(731\) 2.49447 0.0922614
\(732\) −30.2915 + 12.6460i −1.11960 + 0.467410i
\(733\) −25.0528 −0.925348 −0.462674 0.886529i \(-0.653110\pi\)
−0.462674 + 0.886529i \(0.653110\pi\)
\(734\) −0.171071 + 0.296303i −0.00631433 + 0.0109367i
\(735\) −44.6787 + 2.86038i −1.64800 + 0.105507i
\(736\) 6.20047 + 10.7395i 0.228552 + 0.395864i
\(737\) 0.459391 + 0.795689i 0.0169219 + 0.0293096i
\(738\) 6.88127 + 1.80284i 0.253303 + 0.0663635i
\(739\) 13.7608 23.8344i 0.506198 0.876761i −0.493776 0.869589i \(-0.664384\pi\)
0.999974 0.00717223i \(-0.00228301\pi\)
\(740\) −15.3230 + 26.5402i −0.563284 + 0.975637i
\(741\) 5.37158 2.24252i 0.197330 0.0823809i
\(742\) −4.54405 12.1524i −0.166817 0.446129i
\(743\) −7.00608 + 12.1349i −0.257028 + 0.445186i −0.965444 0.260609i \(-0.916077\pi\)
0.708416 + 0.705795i \(0.249410\pi\)
\(744\) −9.19037 7.01147i −0.336935 0.257053i
\(745\) −77.6326 −2.84424
\(746\) −0.932261 + 1.61472i −0.0341325 + 0.0591192i
\(747\) 35.7623 + 9.36947i 1.30848 + 0.342811i
\(748\) 0.391390 0.0143106
\(749\) 10.1009 + 27.0133i 0.369077 + 0.987046i
\(750\) −1.47297 + 11.4342i −0.0537854 + 0.417516i
\(751\) −52.2594 −1.90697 −0.953486 0.301436i \(-0.902534\pi\)
−0.953486 + 0.301436i \(0.902534\pi\)
\(752\) 13.1494 + 22.7755i 0.479511 + 0.830537i
\(753\) −13.6356 + 5.69254i −0.496907 + 0.207448i
\(754\) 1.22912 2.12889i 0.0447618 0.0775298i
\(755\) −5.53289 −0.201363
\(756\) −24.1066 0.639590i −0.876749 0.0232617i
\(757\) −43.3447 −1.57539 −0.787694 0.616066i \(-0.788725\pi\)
−0.787694 + 0.616066i \(0.788725\pi\)
\(758\) 8.15047 14.1170i 0.296038 0.512753i
\(759\) −3.53481 + 1.47571i −0.128306 + 0.0535647i
\(760\) −9.65191 16.7176i −0.350112 0.606411i
\(761\) −17.2510 −0.625348 −0.312674 0.949860i \(-0.601225\pi\)
−0.312674 + 0.949860i \(0.601225\pi\)
\(762\) −0.139304 + 1.08137i −0.00504646 + 0.0391738i
\(763\) 3.57086 4.33209i 0.129274 0.156832i
\(764\) 41.8285 1.51330
\(765\) −0.731610 2.67085i −0.0264514 0.0965650i
\(766\) −0.265952 + 0.460642i −0.00960922 + 0.0166437i
\(767\) −2.16889 −0.0783139
\(768\) 0.341127 + 0.260251i 0.0123094 + 0.00939100i
\(769\) −10.6727 + 18.4856i −0.384867 + 0.666609i −0.991751 0.128182i \(-0.959086\pi\)
0.606884 + 0.794790i \(0.292419\pi\)
\(770\) −2.75030 + 3.33660i −0.0991140 + 0.120243i
\(771\) −27.3634 + 11.4236i −0.985469 + 0.411411i
\(772\) 5.20495 9.01523i 0.187330 0.324465i
\(773\) −6.57357 + 11.3858i −0.236435 + 0.409517i −0.959689 0.281065i \(-0.909312\pi\)
0.723254 + 0.690582i \(0.242646\pi\)