Properties

Label 546.2.bn.e.173.3
Level $546$
Weight $2$
Character 546.173
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bn (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 173.3
Character \(\chi\) \(=\) 546.173
Dual form 546.2.bn.e.101.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.25705 - 1.19156i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.80315 - 1.04105i) q^{5} +(-0.403394 + 1.68442i) q^{6} +(1.78353 + 1.95424i) q^{7} +1.00000 q^{8} +(0.160371 + 2.99571i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.25705 - 1.19156i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.80315 - 1.04105i) q^{5} +(-0.403394 + 1.68442i) q^{6} +(1.78353 + 1.95424i) q^{7} +1.00000 q^{8} +(0.160371 + 2.99571i) q^{9} +2.08210i q^{10} +2.15624 q^{11} +(1.66045 - 0.492861i) q^{12} +(-0.217235 + 3.59900i) q^{13} +(0.800654 - 2.52170i) q^{14} +(1.02618 + 3.45721i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.278635 - 0.482611i) q^{17} +(2.51418 - 1.63674i) q^{18} +3.89440 q^{19} +(1.80315 - 1.04105i) q^{20} +(0.0865985 - 4.58176i) q^{21} +(-1.07812 - 1.86736i) q^{22} +(-1.79756 + 1.03782i) q^{23} +(-1.25705 - 1.19156i) q^{24} +(-0.332437 - 0.575798i) q^{25} +(3.22544 - 1.61137i) q^{26} +(3.36797 - 3.95686i) q^{27} +(-2.58418 + 0.567461i) q^{28} +(6.10476 + 3.52458i) q^{29} +(2.48094 - 2.61731i) q^{30} +(-3.21742 - 5.57273i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-2.71052 - 2.56929i) q^{33} -0.557271 q^{34} +(-1.18151 - 5.38051i) q^{35} +(-2.67455 - 1.35897i) q^{36} +(7.20214 - 4.15815i) q^{37} +(-1.94720 - 3.37265i) q^{38} +(4.56150 - 4.26529i) q^{39} +(-1.80315 - 1.04105i) q^{40} +(-0.532863 - 0.307649i) q^{41} +(-4.01122 + 2.21588i) q^{42} +(4.33366 + 7.50612i) q^{43} +(-1.07812 + 1.86736i) q^{44} +(2.82951 - 5.56866i) q^{45} +(1.79756 + 1.03782i) q^{46} +(0.507011 + 0.292723i) q^{47} +(-0.403394 + 1.68442i) q^{48} +(-0.638069 + 6.97086i) q^{49} +(-0.332437 + 0.575798i) q^{50} +(-0.925319 + 0.274657i) q^{51} +(-3.00821 - 1.98763i) q^{52} +(6.68551 - 3.85988i) q^{53} +(-5.11073 - 0.938319i) q^{54} +(-3.88803 - 2.24475i) q^{55} +(1.78353 + 1.95424i) q^{56} +(-4.89547 - 4.64041i) q^{57} -7.04917i q^{58} +(-1.35587 - 0.782812i) q^{59} +(-3.50713 - 0.839905i) q^{60} -8.20222i q^{61} +(-3.21742 + 5.57273i) q^{62} +(-5.56830 + 5.65633i) q^{63} +1.00000 q^{64} +(4.13844 - 6.26338i) q^{65} +(-0.869816 + 3.63202i) q^{66} +14.2600i q^{67} +(0.278635 + 0.482611i) q^{68} +(3.49626 + 0.837303i) q^{69} +(-4.06891 + 3.71347i) q^{70} +(6.52888 + 11.3084i) q^{71} +(0.160371 + 2.99571i) q^{72} +(-0.198890 - 0.344488i) q^{73} +(-7.20214 - 4.15815i) q^{74} +(-0.268206 + 1.11993i) q^{75} +(-1.94720 + 3.37265i) q^{76} +(3.84572 + 4.21381i) q^{77} +(-5.97460 - 1.81773i) q^{78} +(5.73441 - 9.93228i) q^{79} +2.08210i q^{80} +(-8.94856 + 0.960850i) q^{81} +0.615297i q^{82} +12.4455i q^{83} +(3.92462 + 2.36588i) q^{84} +(-1.00484 + 0.580146i) q^{85} +(4.33366 - 7.50612i) q^{86} +(-3.47426 - 11.7048i) q^{87} +2.15624 q^{88} +(7.54080 - 4.35368i) q^{89} +(-6.23736 + 0.333908i) q^{90} +(-7.42074 + 5.99438i) q^{91} -2.07565i q^{92} +(-2.59577 + 10.8390i) q^{93} -0.585446i q^{94} +(-7.02218 - 4.05426i) q^{95} +(1.66045 - 0.492861i) q^{96} +(-1.64731 - 2.85322i) q^{97} +(6.35598 - 2.93285i) q^{98} +(0.345799 + 6.45949i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} + O(q^{10}) \) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} - 18q^{11} + 3q^{12} - 8q^{13} - 4q^{14} - 17q^{15} - 17q^{16} + 6q^{17} - 11q^{18} - 10q^{19} - 9q^{20} - 4q^{21} + 9q^{22} + 6q^{23} + 3q^{24} + 16q^{25} + 13q^{26} + 18q^{27} - q^{28} + 27q^{29} + 13q^{30} + q^{31} - 17q^{32} + 21q^{33} - 12q^{34} - 3q^{35} + 4q^{36} + 6q^{37} + 5q^{38} + 20q^{39} + 9q^{40} + 3q^{41} + 20q^{42} - 3q^{43} + 9q^{44} - 6q^{46} - 27q^{47} - 6q^{48} - 5q^{49} + 16q^{50} + 24q^{51} - 5q^{52} + 21q^{53} - 18q^{54} + 57q^{55} + 5q^{56} - 17q^{57} - 6q^{59} + 4q^{60} + q^{62} - 21q^{63} + 34q^{64} + 33q^{65} - 21q^{66} + 6q^{68} - 30q^{69} + 3q^{70} - 15q^{71} + 7q^{72} + 19q^{73} - 6q^{74} - 63q^{75} + 5q^{76} - 9q^{77} - 10q^{78} - 9q^{79} - 5q^{81} - 16q^{84} - 42q^{85} - 3q^{86} - 75q^{87} - 18q^{88} - 18q^{89} - 9q^{90} - 27q^{91} + 25q^{93} - 3q^{95} + 3q^{96} - 19q^{97} + 7q^{98} - 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −1.25705 1.19156i −0.725761 0.687947i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −1.80315 1.04105i −0.806393 0.465571i 0.0393090 0.999227i \(-0.487484\pi\)
−0.845702 + 0.533656i \(0.820818\pi\)
\(6\) −0.403394 + 1.68442i −0.164685 + 0.687662i
\(7\) 1.78353 + 1.95424i 0.674110 + 0.738631i
\(8\) 1.00000 0.353553
\(9\) 0.160371 + 2.99571i 0.0534570 + 0.998570i
\(10\) 2.08210i 0.658417i
\(11\) 2.15624 0.650132 0.325066 0.945691i \(-0.394613\pi\)
0.325066 + 0.945691i \(0.394613\pi\)
\(12\) 1.66045 0.492861i 0.479330 0.142277i
\(13\) −0.217235 + 3.59900i −0.0602501 + 0.998183i
\(14\) 0.800654 2.52170i 0.213984 0.673952i
\(15\) 1.02618 + 3.45721i 0.264960 + 0.892649i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 0.278635 0.482611i 0.0675790 0.117050i −0.830256 0.557382i \(-0.811806\pi\)
0.897835 + 0.440332i \(0.145139\pi\)
\(18\) 2.51418 1.63674i 0.592597 0.385783i
\(19\) 3.89440 0.893436 0.446718 0.894675i \(-0.352593\pi\)
0.446718 + 0.894675i \(0.352593\pi\)
\(20\) 1.80315 1.04105i 0.403196 0.232785i
\(21\) 0.0865985 4.58176i 0.0188973 0.999821i
\(22\) −1.07812 1.86736i −0.229856 0.398123i
\(23\) −1.79756 + 1.03782i −0.374818 + 0.216401i −0.675561 0.737304i \(-0.736099\pi\)
0.300743 + 0.953705i \(0.402765\pi\)
\(24\) −1.25705 1.19156i −0.256595 0.243226i
\(25\) −0.332437 0.575798i −0.0664874 0.115160i
\(26\) 3.22544 1.61137i 0.632562 0.316016i
\(27\) 3.36797 3.95686i 0.648167 0.761499i
\(28\) −2.58418 + 0.567461i −0.488364 + 0.107240i
\(29\) 6.10476 + 3.52458i 1.13363 + 0.654499i 0.944844 0.327520i \(-0.106213\pi\)
0.188781 + 0.982019i \(0.439546\pi\)
\(30\) 2.48094 2.61731i 0.452956 0.477853i
\(31\) −3.21742 5.57273i −0.577865 1.00089i −0.995724 0.0923797i \(-0.970553\pi\)
0.417859 0.908512i \(-0.362781\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −2.71052 2.56929i −0.471840 0.447257i
\(34\) −0.557271 −0.0955711
\(35\) −1.18151 5.38051i −0.199712 0.909473i
\(36\) −2.67455 1.35897i −0.445758 0.226495i
\(37\) 7.20214 4.15815i 1.18402 0.683596i 0.227082 0.973876i \(-0.427082\pi\)
0.956942 + 0.290279i \(0.0937482\pi\)
\(38\) −1.94720 3.37265i −0.315877 0.547116i
\(39\) 4.56150 4.26529i 0.730425 0.682993i
\(40\) −1.80315 1.04105i −0.285103 0.164604i
\(41\) −0.532863 0.307649i −0.0832192 0.0480466i 0.457813 0.889049i \(-0.348633\pi\)
−0.541032 + 0.841002i \(0.681966\pi\)
\(42\) −4.01122 + 2.21588i −0.618944 + 0.341918i
\(43\) 4.33366 + 7.50612i 0.660877 + 1.14467i 0.980386 + 0.197089i \(0.0631487\pi\)
−0.319509 + 0.947583i \(0.603518\pi\)
\(44\) −1.07812 + 1.86736i −0.162533 + 0.281516i
\(45\) 2.82951 5.56866i 0.421798 0.830128i
\(46\) 1.79756 + 1.03782i 0.265036 + 0.153019i
\(47\) 0.507011 + 0.292723i 0.0739551 + 0.0426980i 0.536522 0.843887i \(-0.319738\pi\)
−0.462566 + 0.886585i \(0.653071\pi\)
\(48\) −0.403394 + 1.68442i −0.0582249 + 0.243125i
\(49\) −0.638069 + 6.97086i −0.0911527 + 0.995837i
\(50\) −0.332437 + 0.575798i −0.0470137 + 0.0814301i
\(51\) −0.925319 + 0.274657i −0.129571 + 0.0384597i
\(52\) −3.00821 1.98763i −0.417164 0.275635i
\(53\) 6.68551 3.85988i 0.918325 0.530195i 0.0352249 0.999379i \(-0.488785\pi\)
0.883100 + 0.469184i \(0.155452\pi\)
\(54\) −5.11073 0.938319i −0.695482 0.127689i
\(55\) −3.88803 2.24475i −0.524262 0.302683i
\(56\) 1.78353 + 1.95424i 0.238334 + 0.261146i
\(57\) −4.89547 4.64041i −0.648421 0.614637i
\(58\) 7.04917i 0.925601i
\(59\) −1.35587 0.782812i −0.176519 0.101913i 0.409137 0.912473i \(-0.365830\pi\)
−0.585656 + 0.810560i \(0.699163\pi\)
\(60\) −3.50713 0.839905i −0.452768 0.108431i
\(61\) 8.20222i 1.05019i −0.851045 0.525093i \(-0.824030\pi\)
0.851045 0.525093i \(-0.175970\pi\)
\(62\) −3.21742 + 5.57273i −0.408612 + 0.707737i
\(63\) −5.56830 + 5.65633i −0.701539 + 0.712631i
\(64\) 1.00000 0.125000
\(65\) 4.13844 6.26338i 0.513310 0.776877i
\(66\) −0.869816 + 3.63202i −0.107067 + 0.447071i
\(67\) 14.2600i 1.74213i 0.491165 + 0.871067i \(0.336571\pi\)
−0.491165 + 0.871067i \(0.663429\pi\)
\(68\) 0.278635 + 0.482611i 0.0337895 + 0.0585251i
\(69\) 3.49626 + 0.837303i 0.420900 + 0.100799i
\(70\) −4.06891 + 3.71347i −0.486327 + 0.443845i
\(71\) 6.52888 + 11.3084i 0.774836 + 1.34206i 0.934887 + 0.354946i \(0.115501\pi\)
−0.160051 + 0.987109i \(0.551166\pi\)
\(72\) 0.160371 + 2.99571i 0.0188999 + 0.353048i
\(73\) −0.198890 0.344488i −0.0232783 0.0403192i 0.854152 0.520024i \(-0.174077\pi\)
−0.877430 + 0.479705i \(0.840744\pi\)
\(74\) −7.20214 4.15815i −0.837231 0.483376i
\(75\) −0.268206 + 1.11993i −0.0309698 + 0.129318i
\(76\) −1.94720 + 3.37265i −0.223359 + 0.386869i
\(77\) 3.84572 + 4.21381i 0.438260 + 0.480208i
\(78\) −5.97460 1.81773i −0.676490 0.205817i
\(79\) 5.73441 9.93228i 0.645171 1.11747i −0.339091 0.940754i \(-0.610119\pi\)
0.984262 0.176715i \(-0.0565472\pi\)
\(80\) 2.08210i 0.232785i
\(81\) −8.94856 + 0.960850i −0.994285 + 0.106761i
\(82\) 0.615297i 0.0679482i
\(83\) 12.4455i 1.36607i 0.730385 + 0.683035i \(0.239340\pi\)
−0.730385 + 0.683035i \(0.760660\pi\)
\(84\) 3.92462 + 2.36588i 0.428211 + 0.258138i
\(85\) −1.00484 + 0.580146i −0.108990 + 0.0629256i
\(86\) 4.33366 7.50612i 0.467310 0.809405i
\(87\) −3.47426 11.7048i −0.372480 1.25488i
\(88\) 2.15624 0.229856
\(89\) 7.54080 4.35368i 0.799323 0.461489i −0.0439115 0.999035i \(-0.513982\pi\)
0.843234 + 0.537546i \(0.180649\pi\)
\(90\) −6.23736 + 0.333908i −0.657475 + 0.0351970i
\(91\) −7.42074 + 5.99438i −0.777905 + 0.628382i
\(92\) 2.07565i 0.216401i
\(93\) −2.59577 + 10.8390i −0.269169 + 1.12395i
\(94\) 0.585446i 0.0603841i
\(95\) −7.02218 4.05426i −0.720460 0.415958i
\(96\) 1.66045 0.492861i 0.169469 0.0503024i
\(97\) −1.64731 2.85322i −0.167259 0.289701i 0.770196 0.637807i \(-0.220158\pi\)
−0.937455 + 0.348106i \(0.886825\pi\)
\(98\) 6.35598 2.93285i 0.642050 0.296262i
\(99\) 0.345799 + 6.45949i 0.0347541 + 0.649203i
\(100\) 0.664874 0.0664874
\(101\) 15.8907 1.58119 0.790594 0.612340i \(-0.209772\pi\)
0.790594 + 0.612340i \(0.209772\pi\)
\(102\) 0.700520 + 0.664021i 0.0693618 + 0.0657479i
\(103\) −2.32058 1.33979i −0.228653 0.132013i 0.381297 0.924452i \(-0.375477\pi\)
−0.609951 + 0.792439i \(0.708811\pi\)
\(104\) −0.217235 + 3.59900i −0.0213016 + 0.352911i
\(105\) −4.92598 + 8.17144i −0.480726 + 0.797450i
\(106\) −6.68551 3.85988i −0.649354 0.374905i
\(107\) −11.8825 + 6.86037i −1.14873 + 0.663217i −0.948576 0.316549i \(-0.897476\pi\)
−0.200149 + 0.979765i \(0.564143\pi\)
\(108\) 1.74276 + 4.89518i 0.167697 + 0.471039i
\(109\) 2.51915 1.45443i 0.241291 0.139309i −0.374479 0.927235i \(-0.622178\pi\)
0.615770 + 0.787926i \(0.288845\pi\)
\(110\) 4.48951i 0.428058i
\(111\) −14.0082 3.35475i −1.32960 0.318419i
\(112\) 0.800654 2.52170i 0.0756547 0.238278i
\(113\) 17.2893 9.98197i 1.62644 0.939025i 0.641295 0.767295i \(-0.278398\pi\)
0.985144 0.171730i \(-0.0549357\pi\)
\(114\) −1.57098 + 6.55980i −0.147135 + 0.614382i
\(115\) 4.32170 0.403000
\(116\) −6.10476 + 3.52458i −0.566813 + 0.327249i
\(117\) −10.8164 0.0735973i −0.999977 0.00680408i
\(118\) 1.56562i 0.144127i
\(119\) 1.44009 0.316230i 0.132013 0.0289887i
\(120\) 1.02618 + 3.45721i 0.0936774 + 0.315599i
\(121\) −6.35061 −0.577328
\(122\) −7.10333 + 4.10111i −0.643105 + 0.371297i
\(123\) 0.303256 + 1.02167i 0.0273437 + 0.0921208i
\(124\) 6.43483 0.577865
\(125\) 11.7948i 1.05496i
\(126\) 7.68267 + 1.99412i 0.684427 + 0.177650i
\(127\) −7.35797 + 12.7444i −0.652915 + 1.13088i 0.329498 + 0.944156i \(0.393121\pi\)
−0.982412 + 0.186725i \(0.940213\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) 3.49634 14.5994i 0.307836 1.28541i
\(130\) −7.49347 0.452304i −0.657221 0.0396697i
\(131\) −2.82161 + 4.88718i −0.246526 + 0.426995i −0.962559 0.271071i \(-0.912622\pi\)
0.716034 + 0.698066i \(0.245956\pi\)
\(132\) 3.58033 1.06273i 0.311628 0.0924987i
\(133\) 6.94576 + 7.61057i 0.602274 + 0.659920i
\(134\) 12.3495 7.12999i 1.06683 0.615937i
\(135\) −10.1922 + 3.62859i −0.877208 + 0.312299i
\(136\) 0.278635 0.482611i 0.0238928 0.0413835i
\(137\) −6.40998 + 11.1024i −0.547642 + 0.948544i 0.450794 + 0.892628i \(0.351141\pi\)
−0.998436 + 0.0559154i \(0.982192\pi\)
\(138\) −1.02301 3.44650i −0.0870840 0.293386i
\(139\) 3.54239 2.04520i 0.300462 0.173472i −0.342189 0.939631i \(-0.611168\pi\)
0.642650 + 0.766160i \(0.277835\pi\)
\(140\) 5.25042 + 1.66704i 0.443741 + 0.140891i
\(141\) −0.288543 0.972102i −0.0242997 0.0818658i
\(142\) 6.52888 11.3084i 0.547892 0.948976i
\(143\) −0.468412 + 7.76033i −0.0391705 + 0.648951i
\(144\) 2.51418 1.63674i 0.209515 0.136395i
\(145\) −7.33853 12.7107i −0.609431 1.05557i
\(146\) −0.198890 + 0.344488i −0.0164603 + 0.0285100i
\(147\) 9.10828 8.00245i 0.751238 0.660031i
\(148\) 8.31631i 0.683596i
\(149\) 1.14705 0.0939704 0.0469852 0.998896i \(-0.485039\pi\)
0.0469852 + 0.998896i \(0.485039\pi\)
\(150\) 1.10399 0.327690i 0.0901403 0.0267558i
\(151\) 4.15879 2.40108i 0.338438 0.195397i −0.321143 0.947031i \(-0.604067\pi\)
0.659581 + 0.751633i \(0.270734\pi\)
\(152\) 3.89440 0.315877
\(153\) 1.49045 + 0.757314i 0.120495 + 0.0612252i
\(154\) 1.72641 5.43739i 0.139118 0.438158i
\(155\) 13.3979i 1.07615i
\(156\) 1.41310 + 6.08302i 0.113139 + 0.487031i
\(157\) −6.04701 + 3.49124i −0.482604 + 0.278631i −0.721501 0.692414i \(-0.756547\pi\)
0.238897 + 0.971045i \(0.423214\pi\)
\(158\) −11.4688 −0.912410
\(159\) −13.0033 3.11410i −1.03123 0.246964i
\(160\) 1.80315 1.04105i 0.142551 0.0823021i
\(161\) −5.23415 1.66187i −0.412509 0.130974i
\(162\) 5.30640 + 7.26926i 0.416910 + 0.571127i
\(163\) 19.6797i 1.54143i 0.637180 + 0.770715i \(0.280101\pi\)
−0.637180 + 0.770715i \(0.719899\pi\)
\(164\) 0.532863 0.307649i 0.0416096 0.0240233i
\(165\) 2.21270 + 7.45460i 0.172259 + 0.580340i
\(166\) 10.7781 6.22275i 0.836544 0.482979i
\(167\) −11.1356 6.42913i −0.861698 0.497501i 0.00288283 0.999996i \(-0.499082\pi\)
−0.864580 + 0.502495i \(0.832416\pi\)
\(168\) 0.0865985 4.58176i 0.00668122 0.353490i
\(169\) −12.9056 1.56366i −0.992740 0.120281i
\(170\) 1.00484 + 0.580146i 0.0770679 + 0.0444951i
\(171\) 0.624548 + 11.6665i 0.0477604 + 0.892159i
\(172\) −8.66732 −0.660877
\(173\) −4.43081 −0.336868 −0.168434 0.985713i \(-0.553871\pi\)
−0.168434 + 0.985713i \(0.553871\pi\)
\(174\) −8.39951 + 8.86119i −0.636765 + 0.671765i
\(175\) 0.532334 1.67661i 0.0402407 0.126740i
\(176\) −1.07812 1.86736i −0.0812665 0.140758i
\(177\) 0.771635 + 2.59964i 0.0579997 + 0.195401i
\(178\) −7.54080 4.35368i −0.565207 0.326322i
\(179\) 22.7295i 1.69889i −0.527680 0.849443i \(-0.676938\pi\)
0.527680 0.849443i \(-0.323062\pi\)
\(180\) 3.40785 + 5.23476i 0.254006 + 0.390176i
\(181\) 10.2663i 0.763090i −0.924350 0.381545i \(-0.875392\pi\)
0.924350 0.381545i \(-0.124608\pi\)
\(182\) 8.90166 + 3.42936i 0.659835 + 0.254201i
\(183\) −9.77343 + 10.3106i −0.722473 + 0.762184i
\(184\) −1.79756 + 1.03782i −0.132518 + 0.0765093i
\(185\) −17.3154 −1.27305
\(186\) 10.6847 3.17148i 0.783441 0.232544i
\(187\) 0.600806 1.04063i 0.0439353 0.0760982i
\(188\) −0.507011 + 0.292723i −0.0369776 + 0.0213490i
\(189\) 13.7395 0.475357i 0.999402 0.0345771i
\(190\) 8.10851i 0.588253i
\(191\) 3.89397i 0.281757i −0.990027 0.140879i \(-0.955007\pi\)
0.990027 0.140879i \(-0.0449928\pi\)
\(192\) −1.25705 1.19156i −0.0907201 0.0859934i
\(193\) 3.59888i 0.259053i −0.991576 0.129526i \(-0.958654\pi\)
0.991576 0.129526i \(-0.0413457\pi\)
\(194\) −1.64731 + 2.85322i −0.118270 + 0.204849i
\(195\) −12.6654 + 2.94221i −0.906991 + 0.210696i
\(196\) −5.71791 4.03801i −0.408422 0.288430i
\(197\) 5.48497 9.50024i 0.390788 0.676864i −0.601766 0.798673i \(-0.705536\pi\)
0.992554 + 0.121808i \(0.0388693\pi\)
\(198\) 5.42118 3.52921i 0.385266 0.250810i
\(199\) 17.5580 + 10.1371i 1.24466 + 0.718603i 0.970039 0.242951i \(-0.0781153\pi\)
0.274618 + 0.961553i \(0.411449\pi\)
\(200\) −0.332437 0.575798i −0.0235068 0.0407150i
\(201\) 16.9916 17.9256i 1.19850 1.26437i
\(202\) −7.94537 13.7618i −0.559035 0.968276i
\(203\) 4.00013 + 18.2163i 0.280754 + 1.27854i
\(204\) 0.224800 0.938678i 0.0157391 0.0657206i
\(205\) 0.640554 + 1.10947i 0.0447382 + 0.0774889i
\(206\) 2.67957i 0.186695i
\(207\) −3.39729 5.21854i −0.236128 0.362714i
\(208\) 3.22544 1.61137i 0.223644 0.111728i
\(209\) 8.39727 0.580852
\(210\) 9.53966 + 0.180306i 0.658299 + 0.0124423i
\(211\) 6.39897 11.0833i 0.440523 0.763009i −0.557205 0.830375i \(-0.688126\pi\)
0.997728 + 0.0673662i \(0.0214596\pi\)
\(212\) 7.71976i 0.530195i
\(213\) 5.26742 21.9948i 0.360918 1.50706i
\(214\) 11.8825 + 6.86037i 0.812272 + 0.468965i
\(215\) 18.0462i 1.23074i
\(216\) 3.36797 3.95686i 0.229162 0.269230i
\(217\) 5.15208 16.2267i 0.349746 1.10154i
\(218\) −2.51915 1.45443i −0.170618 0.0985065i
\(219\) −0.160462 + 0.670029i −0.0108430 + 0.0452764i
\(220\) 3.88803 2.24475i 0.262131 0.151341i
\(221\) 1.67639 + 1.10765i 0.112766 + 0.0745085i
\(222\) 4.09879 + 13.8088i 0.275092 + 0.926786i
\(223\) −6.84088 + 11.8488i −0.458099 + 0.793451i −0.998861 0.0477249i \(-0.984803\pi\)
0.540761 + 0.841176i \(0.318136\pi\)
\(224\) −2.58418 + 0.567461i −0.172663 + 0.0379151i
\(225\) 1.67161 1.08823i 0.111441 0.0725484i
\(226\) −17.2893 9.98197i −1.15007 0.663991i
\(227\) 3.24204 + 1.87179i 0.215182 + 0.124235i 0.603717 0.797199i \(-0.293686\pi\)
−0.388536 + 0.921434i \(0.627019\pi\)
\(228\) 6.46644 1.91940i 0.428251 0.127115i
\(229\) 4.38767 7.59967i 0.289946 0.502201i −0.683851 0.729622i \(-0.739696\pi\)
0.973796 + 0.227421i \(0.0730294\pi\)
\(230\) −2.16085 3.74270i −0.142482 0.246786i
\(231\) 0.186728 9.87939i 0.0122858 0.650016i
\(232\) 6.10476 + 3.52458i 0.400797 + 0.231400i
\(233\) −19.0891 11.0211i −1.25057 0.722017i −0.279347 0.960190i \(-0.590118\pi\)
−0.971223 + 0.238173i \(0.923451\pi\)
\(234\) 5.34446 + 9.40408i 0.349379 + 0.614764i
\(235\) −0.609477 1.05565i −0.0397579 0.0688627i
\(236\) 1.35587 0.782812i 0.0882596 0.0509567i
\(237\) −19.0434 + 5.65253i −1.23700 + 0.367171i
\(238\) −0.993907 1.08904i −0.0644254 0.0705918i
\(239\) −12.3469 −0.798656 −0.399328 0.916808i \(-0.630757\pi\)
−0.399328 + 0.916808i \(0.630757\pi\)
\(240\) 2.48094 2.61731i 0.160144 0.168947i
\(241\) −0.612290 + 1.06052i −0.0394410 + 0.0683139i −0.885072 0.465454i \(-0.845891\pi\)
0.845631 + 0.533768i \(0.179224\pi\)
\(242\) 3.17530 + 5.49979i 0.204116 + 0.353540i
\(243\) 12.3937 + 9.45491i 0.795059 + 0.606532i
\(244\) 7.10333 + 4.10111i 0.454744 + 0.262547i
\(245\) 8.40753 11.9052i 0.537138 0.760597i
\(246\) 0.733163 0.773462i 0.0467448 0.0493141i
\(247\) −0.845999 + 14.0159i −0.0538296 + 0.891813i
\(248\) −3.21742 5.57273i −0.204306 0.353869i
\(249\) 14.8296 15.6447i 0.939785 0.991440i
\(250\) 10.2146 5.89741i 0.646029 0.372985i
\(251\) −6.93362 12.0094i −0.437646 0.758026i 0.559861 0.828586i \(-0.310854\pi\)
−0.997507 + 0.0705608i \(0.977521\pi\)
\(252\) −2.11438 7.65045i −0.133193 0.481933i
\(253\) −3.87598 + 2.23780i −0.243681 + 0.140689i
\(254\) 14.7159 0.923361
\(255\) 1.95442 + 0.468054i 0.122390 + 0.0293107i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.32800 9.22836i −0.332351 0.575650i 0.650621 0.759403i \(-0.274509\pi\)
−0.982972 + 0.183753i \(0.941175\pi\)
\(258\) −14.3916 + 4.27178i −0.895984 + 0.265950i
\(259\) 20.9712 + 6.65849i 1.30309 + 0.413738i
\(260\) 3.35503 + 6.71569i 0.208070 + 0.416489i
\(261\) −9.57961 + 18.8533i −0.592963 + 1.16699i
\(262\) 5.64323 0.348640
\(263\) 24.4779i 1.50937i −0.656086 0.754686i \(-0.727789\pi\)
0.656086 0.754686i \(-0.272211\pi\)
\(264\) −2.71052 2.56929i −0.166821 0.158129i
\(265\) −16.0733 −0.987374
\(266\) 3.11807 9.82049i 0.191181 0.602133i
\(267\) −14.6669 3.51250i −0.897597 0.214961i
\(268\) −12.3495 7.12999i −0.754366 0.435533i
\(269\) −5.52050 + 9.56179i −0.336591 + 0.582993i −0.983789 0.179329i \(-0.942607\pi\)
0.647198 + 0.762322i \(0.275941\pi\)
\(270\) 8.23857 + 7.01244i 0.501383 + 0.426764i
\(271\) 7.12608 + 12.3427i 0.432879 + 0.749768i 0.997120 0.0758423i \(-0.0241646\pi\)
−0.564241 + 0.825610i \(0.690831\pi\)
\(272\) −0.557271 −0.0337895
\(273\) 16.4709 + 1.30699i 0.996866 + 0.0791024i
\(274\) 12.8200 0.774483
\(275\) −0.716815 1.24156i −0.0432256 0.0748689i
\(276\) −2.47326 + 2.60920i −0.148873 + 0.157055i
\(277\) 4.88378 8.45896i 0.293438 0.508250i −0.681182 0.732114i \(-0.738534\pi\)
0.974620 + 0.223864i \(0.0718672\pi\)
\(278\) −3.54239 2.04520i −0.212459 0.122663i
\(279\) 16.1783 10.5322i 0.968570 0.630544i
\(280\) −1.18151 5.38051i −0.0706087 0.321547i
\(281\) −0.791501 −0.0472170 −0.0236085 0.999721i \(-0.507516\pi\)
−0.0236085 + 0.999721i \(0.507516\pi\)
\(282\) −0.697593 + 0.735937i −0.0415411 + 0.0438244i
\(283\) 11.7612i 0.699130i −0.936912 0.349565i \(-0.886329\pi\)
0.936912 0.349565i \(-0.113671\pi\)
\(284\) −13.0578 −0.774836
\(285\) 3.99637 + 13.4638i 0.236725 + 0.797524i
\(286\) 6.95485 3.47451i 0.411249 0.205452i
\(287\) −0.349157 1.59004i −0.0206101 0.0938570i
\(288\) −2.67455 1.35897i −0.157599 0.0800781i
\(289\) 8.34472 + 14.4535i 0.490866 + 0.850205i
\(290\) −7.33853 + 12.7107i −0.430933 + 0.746398i
\(291\) −1.32903 + 5.54952i −0.0779090 + 0.325319i
\(292\) 0.397780 0.0232783
\(293\) 6.68038 3.85692i 0.390272 0.225324i −0.292006 0.956416i \(-0.594323\pi\)
0.682278 + 0.731093i \(0.260989\pi\)
\(294\) −11.4845 3.88678i −0.669788 0.226681i
\(295\) 1.62989 + 2.82305i 0.0948959 + 0.164364i
\(296\) 7.20214 4.15815i 0.418616 0.241688i
\(297\) 7.26217 8.53196i 0.421394 0.495075i
\(298\) −0.573527 0.993378i −0.0332235 0.0575449i
\(299\) −3.34463 6.69488i −0.193425 0.387175i
\(300\) −0.835783 0.792237i −0.0482539 0.0457398i
\(301\) −6.93952 + 21.8563i −0.399987 + 1.25978i
\(302\) −4.15879 2.40108i −0.239312 0.138167i
\(303\) −19.9755 18.9348i −1.14756 1.08777i
\(304\) −1.94720 3.37265i −0.111680 0.193435i
\(305\) −8.53891 + 14.7898i −0.488936 + 0.846863i
\(306\) −0.0893701 1.66942i −0.00510895 0.0954345i
\(307\) −22.5567 −1.28738 −0.643689 0.765287i \(-0.722597\pi\)
−0.643689 + 0.765287i \(0.722597\pi\)
\(308\) −5.57213 + 1.22359i −0.317501 + 0.0697203i
\(309\) 1.32066 + 4.44929i 0.0751296 + 0.253111i
\(310\) 11.6030 6.69897i 0.659004 0.380476i
\(311\) −6.64375 11.5073i −0.376733 0.652520i 0.613852 0.789421i \(-0.289619\pi\)
−0.990585 + 0.136901i \(0.956286\pi\)
\(312\) 4.56150 4.26529i 0.258244 0.241475i
\(313\) 14.7574 + 8.52018i 0.834137 + 0.481589i 0.855267 0.518188i \(-0.173393\pi\)
−0.0211303 + 0.999777i \(0.506726\pi\)
\(314\) 6.04701 + 3.49124i 0.341252 + 0.197022i
\(315\) 15.9290 4.40234i 0.897496 0.248044i
\(316\) 5.73441 + 9.93228i 0.322585 + 0.558734i
\(317\) −7.60593 + 13.1739i −0.427192 + 0.739918i −0.996622 0.0821217i \(-0.973830\pi\)
0.569431 + 0.822039i \(0.307164\pi\)
\(318\) 3.80477 + 12.8183i 0.213361 + 0.718812i
\(319\) 13.1634 + 7.59987i 0.737006 + 0.425511i
\(320\) −1.80315 1.04105i −0.100799 0.0581964i
\(321\) 23.1115 + 5.53486i 1.28996 + 0.308926i
\(322\) 1.17785 + 5.36384i 0.0656390 + 0.298915i
\(323\) 1.08512 1.87948i 0.0603775 0.104577i
\(324\) 3.64216 8.23011i 0.202342 0.457228i
\(325\) 2.14451 1.07136i 0.118956 0.0594282i
\(326\) 17.0431 9.83983i 0.943929 0.544978i
\(327\) −4.89975 1.17342i −0.270957 0.0648901i
\(328\) −0.532863 0.307649i −0.0294224 0.0169871i
\(329\) 0.332218 + 1.51290i 0.0183158 + 0.0834087i
\(330\) 5.34952 5.64356i 0.294481 0.310668i
\(331\) 11.4277i 0.628123i 0.949403 + 0.314061i \(0.101690\pi\)
−0.949403 + 0.314061i \(0.898310\pi\)
\(332\) −10.7781 6.22275i −0.591526 0.341518i
\(333\) 13.6116 + 20.9087i 0.745913 + 1.14579i
\(334\) 12.8583i 0.703573i
\(335\) 14.8453 25.7129i 0.811087 1.40484i
\(336\) −4.01122 + 2.21588i −0.218830 + 0.120886i
\(337\) 0.692991 0.0377496 0.0188748 0.999822i \(-0.493992\pi\)
0.0188748 + 0.999822i \(0.493992\pi\)
\(338\) 5.09864 + 11.9584i 0.277330 + 0.650452i
\(339\) −33.6277 8.05333i −1.82640 0.437397i
\(340\) 1.16029i 0.0629256i
\(341\) −6.93754 12.0162i −0.375689 0.650712i
\(342\) 9.79120 6.37412i 0.529447 0.344673i
\(343\) −14.7607 + 11.1858i −0.797003 + 0.603975i
\(344\) 4.33366 + 7.50612i 0.233655 + 0.404703i
\(345\) −5.43261 5.14956i −0.292482 0.277243i
\(346\) 2.21541 + 3.83719i 0.119101 + 0.206289i
\(347\) −12.8531 7.42074i −0.689991 0.398366i 0.113618 0.993525i \(-0.463756\pi\)
−0.803609 + 0.595158i \(0.797089\pi\)
\(348\) 11.8738 + 2.84359i 0.636501 + 0.152432i
\(349\) 9.35756 16.2078i 0.500899 0.867582i −0.499101 0.866544i \(-0.666336\pi\)
0.999999 0.00103797i \(-0.000330396\pi\)
\(350\) −1.71815 + 0.377290i −0.0918392 + 0.0201670i
\(351\) 13.5091 + 12.9809i 0.721063 + 0.692870i
\(352\) −1.07812 + 1.86736i −0.0574641 + 0.0995308i
\(353\) 24.3746i 1.29733i 0.761075 + 0.648664i \(0.224672\pi\)
−0.761075 + 0.648664i \(0.775328\pi\)
\(354\) 1.86553 1.96807i 0.0991520 0.104602i
\(355\) 27.1875i 1.44296i
\(356\) 8.70736i 0.461489i
\(357\) −2.18708 1.31843i −0.115752 0.0697789i
\(358\) −19.6844 + 11.3648i −1.04035 + 0.600647i
\(359\) −2.79005 + 4.83250i −0.147253 + 0.255050i −0.930211 0.367025i \(-0.880377\pi\)
0.782958 + 0.622074i \(0.213710\pi\)
\(360\) 2.82951 5.56866i 0.149128 0.293494i
\(361\) −3.83367 −0.201772
\(362\) −8.89090 + 5.13316i −0.467295 + 0.269793i
\(363\) 7.98306 + 7.56713i 0.419002 + 0.397171i
\(364\) −1.48092 9.42374i −0.0776213 0.493938i
\(365\) 0.828216i 0.0433508i
\(366\) 13.8160 + 3.30872i 0.722173 + 0.172950i
\(367\) 32.9869i 1.72190i −0.508689 0.860951i \(-0.669870\pi\)
0.508689 0.860951i \(-0.330130\pi\)
\(368\) 1.79756 + 1.03782i 0.0937044 + 0.0541003i
\(369\) 0.836170 1.64564i 0.0435293 0.0856687i
\(370\) 8.65768 + 14.9955i 0.450091 + 0.779581i
\(371\) 19.4669 + 6.18086i 1.01067 + 0.320894i
\(372\) −8.08894 7.66749i −0.419392 0.397541i
\(373\) 19.2542 0.996943 0.498471 0.866906i \(-0.333895\pi\)
0.498471 + 0.866906i \(0.333895\pi\)
\(374\) −1.20161 −0.0621339
\(375\) 14.0542 14.8267i 0.725757 0.765649i
\(376\) 0.507011 + 0.292723i 0.0261471 + 0.0150960i
\(377\) −14.0112 + 21.2054i −0.721611 + 1.09213i
\(378\) −7.28142 11.6611i −0.374516 0.599781i
\(379\) 10.8971 + 6.29144i 0.559746 + 0.323169i 0.753043 0.657971i \(-0.228585\pi\)
−0.193298 + 0.981140i \(0.561918\pi\)
\(380\) 7.02218 4.05426i 0.360230 0.207979i
\(381\) 24.4351 7.25292i 1.25185 0.371578i
\(382\) −3.37227 + 1.94698i −0.172541 + 0.0996163i
\(383\) 1.19512i 0.0610680i 0.999534 + 0.0305340i \(0.00972079\pi\)
−0.999534 + 0.0305340i \(0.990279\pi\)
\(384\) −0.403394 + 1.68442i −0.0205856 + 0.0859577i
\(385\) −2.54762 11.6017i −0.129839 0.591278i
\(386\) −3.11672 + 1.79944i −0.158637 + 0.0915890i
\(387\) −21.7912 + 14.1862i −1.10771 + 0.721123i
\(388\) 3.29462 0.167259
\(389\) 13.1871 7.61359i 0.668614 0.386024i −0.126937 0.991911i \(-0.540515\pi\)
0.795551 + 0.605886i \(0.207181\pi\)
\(390\) 8.88075 + 9.49748i 0.449694 + 0.480924i
\(391\) 1.15670i 0.0584967i
\(392\) −0.638069 + 6.97086i −0.0322274 + 0.352082i
\(393\) 9.37029 2.78133i 0.472668 0.140299i
\(394\) −10.9699 −0.552657
\(395\) −20.6800 + 11.9396i −1.04052 + 0.600746i
\(396\) −5.76698 2.93027i −0.289802 0.147252i
\(397\) −26.0287 −1.30634 −0.653172 0.757210i \(-0.726562\pi\)
−0.653172 + 0.757210i \(0.726562\pi\)
\(398\) 20.2743i 1.01626i
\(399\) 0.337249 17.8432i 0.0168836 0.893277i
\(400\) −0.332437 + 0.575798i −0.0166218 + 0.0287899i
\(401\) −18.3498 31.7828i −0.916347 1.58716i −0.804917 0.593387i \(-0.797790\pi\)
−0.111430 0.993772i \(-0.535543\pi\)
\(402\) −24.0198 5.75239i −1.19800 0.286903i
\(403\) 20.7552 10.3689i 1.03389 0.516511i
\(404\) −7.94537 + 13.7618i −0.395297 + 0.684675i
\(405\) 17.1359 + 7.58333i 0.851489 + 0.376819i
\(406\) 13.7757 12.5724i 0.683678 0.623957i
\(407\) 15.5296 8.96600i 0.769772 0.444428i
\(408\) −0.925319 + 0.274657i −0.0458101 + 0.0135976i
\(409\) −14.6580 + 25.3884i −0.724791 + 1.25537i 0.234269 + 0.972172i \(0.424730\pi\)
−0.959060 + 0.283203i \(0.908603\pi\)
\(410\) 0.640554 1.10947i 0.0316347 0.0547929i
\(411\) 21.2869 6.31846i 1.05001 0.311667i
\(412\) 2.32058 1.33979i 0.114327 0.0660065i
\(413\) −0.888431 4.04585i −0.0437168 0.199084i
\(414\) −2.82074 + 5.55141i −0.138632 + 0.272837i
\(415\) 12.9564 22.4411i 0.636003 1.10159i
\(416\) −3.00821 1.98763i −0.147490 0.0974517i
\(417\) −6.88996 1.65004i −0.337403 0.0808030i
\(418\) −4.19864 7.27225i −0.205362 0.355698i
\(419\) −18.5356 + 32.1046i −0.905523 + 1.56841i −0.0853087 + 0.996355i \(0.527188\pi\)
−0.820214 + 0.572057i \(0.806146\pi\)
\(420\) −4.61368 8.35174i −0.225125 0.407523i
\(421\) 15.9315i 0.776451i −0.921564 0.388226i \(-0.873088\pi\)
0.921564 0.388226i \(-0.126912\pi\)
\(422\) −12.7979 −0.622994
\(423\) −0.795603 + 1.56580i −0.0386835 + 0.0761319i
\(424\) 6.68551 3.85988i 0.324677 0.187452i
\(425\) −0.370515 −0.0179726
\(426\) −21.6817 + 6.43567i −1.05048 + 0.311809i
\(427\) 16.0291 14.6289i 0.775701 0.707941i
\(428\) 13.7207i 0.663217i
\(429\) 9.83571 9.19701i 0.474873 0.444036i
\(430\) −15.6285 + 9.02310i −0.753671 + 0.435132i
\(431\) −28.1808 −1.35742 −0.678710 0.734407i \(-0.737461\pi\)
−0.678710 + 0.734407i \(0.737461\pi\)
\(432\) −5.11073 0.938319i −0.245890 0.0451449i
\(433\) −10.7990 + 6.23481i −0.518967 + 0.299626i −0.736512 0.676425i \(-0.763528\pi\)
0.217545 + 0.976050i \(0.430195\pi\)
\(434\) −16.6288 + 3.65152i −0.798206 + 0.175279i
\(435\) −5.92063 + 24.7223i −0.283873 + 1.18534i
\(436\) 2.90886i 0.139309i
\(437\) −7.00042 + 4.04170i −0.334876 + 0.193341i
\(438\) 0.660493 0.196050i 0.0315596 0.00936764i
\(439\) −31.5375 + 18.2082i −1.50520 + 0.869029i −0.505221 + 0.862990i \(0.668589\pi\)
−0.999982 + 0.00603872i \(0.998078\pi\)
\(440\) −3.88803 2.24475i −0.185355 0.107014i
\(441\) −20.9850 0.793547i −0.999286 0.0377879i
\(442\) 0.121059 2.00562i 0.00575817 0.0953975i
\(443\) 11.6506 + 6.72648i 0.553537 + 0.319585i 0.750547 0.660817i \(-0.229790\pi\)
−0.197011 + 0.980401i \(0.563123\pi\)
\(444\) 9.90938 10.4541i 0.470278 0.496127i
\(445\) −18.1296 −0.859424
\(446\) 13.6818 0.647850
\(447\) −1.44191 1.36678i −0.0682000 0.0646467i
\(448\) 1.78353 + 1.95424i 0.0842637 + 0.0923289i
\(449\) 10.8390 + 18.7736i 0.511522 + 0.885982i 0.999911 + 0.0133556i \(0.00425136\pi\)
−0.488389 + 0.872626i \(0.662415\pi\)
\(450\) −1.77824 0.903544i −0.0838269 0.0425935i
\(451\) −1.14898 0.663366i −0.0541035 0.0312367i
\(452\) 19.9639i 0.939025i
\(453\) −8.08886 1.93716i −0.380048 0.0910158i
\(454\) 3.74358i 0.175695i
\(455\) 19.6211 3.08342i 0.919853 0.144553i
\(456\) −4.89547 4.64041i −0.229251 0.217307i
\(457\) −12.5219 + 7.22952i −0.585750 + 0.338183i −0.763415 0.645908i \(-0.776479\pi\)
0.177665 + 0.984091i \(0.443146\pi\)
\(458\) −8.77535 −0.410045
\(459\) −0.971187 2.72794i −0.0453311 0.127329i
\(460\) −2.16085 + 3.74270i −0.100750 + 0.174504i
\(461\) 29.7738 17.1899i 1.38670 0.800614i 0.393762 0.919212i \(-0.371173\pi\)
0.992942 + 0.118598i \(0.0378400\pi\)
\(462\) −8.64917 + 4.77798i −0.402396 + 0.222292i
\(463\) 3.55647i 0.165283i 0.996579 + 0.0826415i \(0.0263357\pi\)
−0.996579 + 0.0826415i \(0.973664\pi\)
\(464\) 7.04917i 0.327249i
\(465\) 15.9645 16.8419i 0.740334 0.781026i
\(466\) 22.0422i 1.02109i
\(467\) −0.408159 + 0.706953i −0.0188874 + 0.0327139i −0.875315 0.483554i \(-0.839346\pi\)
0.856427 + 0.516268i \(0.172679\pi\)
\(468\) 5.47194 9.33048i 0.252940 0.431302i
\(469\) −27.8673 + 25.4330i −1.28679 + 1.17439i
\(470\) −0.609477 + 1.05565i −0.0281131 + 0.0486933i
\(471\) 11.7614 + 2.81669i 0.541938 + 0.129786i
\(472\) −1.35587 0.782812i −0.0624090 0.0360318i
\(473\) 9.34443 + 16.1850i 0.429657 + 0.744188i
\(474\) 14.4169 + 13.6658i 0.662191 + 0.627690i
\(475\) −1.29464 2.24239i −0.0594022 0.102888i
\(476\) −0.446181 + 1.40527i −0.0204507 + 0.0644103i
\(477\) 12.6352 + 19.4088i 0.578528 + 0.888670i
\(478\) 6.17346 + 10.6927i 0.282368 + 0.489075i
\(479\) 37.0189i 1.69144i 0.533628 + 0.845719i \(0.320828\pi\)
−0.533628 + 0.845719i \(0.679172\pi\)
\(480\) −3.50713 0.839905i −0.160078 0.0383362i
\(481\) 13.4006 + 26.8238i 0.611017 + 1.22306i
\(482\) 1.22458 0.0557781
\(483\) 4.59939 + 8.32587i 0.209279 + 0.378840i
\(484\) 3.17530 5.49979i 0.144332 0.249990i
\(485\) 6.85971i 0.311483i
\(486\) 1.99132 15.4607i 0.0903280 0.701314i
\(487\) −18.8435 10.8793i −0.853881 0.492989i 0.00807726 0.999967i \(-0.497429\pi\)
−0.861959 + 0.506979i \(0.830762\pi\)
\(488\) 8.20222i 0.371297i
\(489\) 23.4495 24.7384i 1.06042 1.11871i
\(490\) −14.5140 1.32852i −0.655676 0.0600165i
\(491\) −25.7673 14.8768i −1.16286 0.671379i −0.210875 0.977513i \(-0.567631\pi\)
−0.951989 + 0.306134i \(0.900965\pi\)
\(492\) −1.03642 0.248207i −0.0467254 0.0111900i
\(493\) 3.40200 1.96415i 0.153219 0.0884608i
\(494\) 12.5612 6.27531i 0.565153 0.282340i
\(495\) 6.10111 12.0074i 0.274224 0.539693i
\(496\) −3.21742 + 5.57273i −0.144466 + 0.250223i
\(497\) −10.4548 + 32.9277i −0.468960 + 1.47701i
\(498\) −20.9635 5.02044i −0.939395 0.224971i
\(499\) 9.70337 + 5.60224i 0.434383 + 0.250791i 0.701212 0.712953i \(-0.252643\pi\)
−0.266829 + 0.963744i \(0.585976\pi\)
\(500\) −10.2146 5.89741i −0.456811 0.263740i
\(501\) 6.33734 + 21.3505i 0.283131 + 0.953869i
\(502\) −6.93362 + 12.0094i −0.309463 + 0.536005i
\(503\) −13.0943 22.6800i −0.583847 1.01125i −0.995018 0.0996945i \(-0.968213\pi\)
0.411171 0.911558i \(-0.365120\pi\)
\(504\) −5.56830 + 5.65633i −0.248032 + 0.251953i
\(505\) −28.6534 16.5430i −1.27506 0.736155i
\(506\) 3.87598 + 2.23780i 0.172309 + 0.0994824i
\(507\) 14.3599 + 17.3434i 0.637744 + 0.770248i
\(508\) −7.35797 12.7444i −0.326457 0.565441i
\(509\) −8.93202 + 5.15690i −0.395905 + 0.228576i −0.684715 0.728811i \(-0.740073\pi\)
0.288811 + 0.957386i \(0.406740\pi\)
\(510\) −0.571863 1.92660i −0.0253225 0.0853114i
\(511\) 0.318484 1.00308i 0.0140889 0.0443737i
\(512\) 1.00000 0.0441942
\(513\) 13.1162 15.4096i 0.579095 0.680350i
\(514\) −5.32800 + 9.22836i −0.235008 + 0.407046i
\(515\) 2.78957 + 4.83167i 0.122923 + 0.212909i
\(516\) 10.8953 + 10.3276i 0.479638 + 0.454648i
\(517\) 1.09324 + 0.631182i 0.0480806 + 0.0277594i
\(518\) −4.71918 21.4908i −0.207349 0.944253i
\(519\) 5.56977 + 5.27958i 0.244486 + 0.231748i
\(520\) 4.13844 6.26338i 0.181483 0.274667i
\(521\) 17.8124 + 30.8520i 0.780376 + 1.35165i 0.931723 + 0.363171i \(0.118306\pi\)
−0.151346 + 0.988481i \(0.548361\pi\)
\(522\) 21.1173 1.13048i 0.924278 0.0494799i
\(523\) −9.62328 + 5.55600i −0.420797 + 0.242947i −0.695418 0.718605i \(-0.744781\pi\)
0.274621 + 0.961552i \(0.411447\pi\)
\(524\) −2.82161 4.88718i −0.123263 0.213497i
\(525\) −2.66695 + 1.47328i −0.116395 + 0.0642993i
\(526\) −21.1985 + 12.2389i −0.924298 + 0.533644i
\(527\) −3.58594 −0.156206
\(528\) −0.869816 + 3.63202i −0.0378539 + 0.158064i
\(529\) −9.34585 + 16.1875i −0.406341 + 0.703804i
\(530\) 8.03664 + 13.9199i 0.349090 + 0.604641i
\(531\) 2.12764 4.18734i 0.0923315 0.181715i
\(532\) −10.0638 + 2.20992i −0.436322 + 0.0958122i
\(533\) 1.22298 1.85094i 0.0529733 0.0801732i
\(534\) 4.29152 + 14.4581i 0.185712 + 0.625664i
\(535\) 28.5679 1.23510
\(536\) 14.2600i 0.615937i
\(537\) −27.0836 + 28.5723i −1.16874 + 1.23298i
\(538\) 11.0410 0.476012
\(539\) −1.37583 + 15.0309i −0.0592613 + 0.647426i
\(540\) 1.95367 10.6410i 0.0840726 0.457917i
\(541\) −14.2432 8.22331i −0.612363 0.353548i 0.161527 0.986868i \(-0.448358\pi\)
−0.773890 + 0.633320i \(0.781692\pi\)
\(542\) 7.12608 12.3427i 0.306091 0.530166i
\(543\) −12.2329 + 12.9053i −0.524966 + 0.553821i
\(544\) 0.278635 + 0.482611i 0.0119464 + 0.0206918i
\(545\) −6.05653 −0.259433
\(546\) −7.10359 14.9177i −0.304005 0.638420i
\(547\) 38.7499 1.65683 0.828414 0.560116i \(-0.189243\pi\)
0.828414 + 0.560116i \(0.189243\pi\)
\(548\) −6.40998 11.1024i −0.273821 0.474272i
\(549\) 24.5715 1.31540i 1.04869 0.0561398i
\(550\) −0.716815 + 1.24156i −0.0305651 + 0.0529403i
\(551\) 23.7744 + 13.7261i 1.01282 + 0.584753i
\(552\) 3.49626 + 0.837303i 0.148811 + 0.0356380i
\(553\) 29.6375 6.50811i 1.26031 0.276753i
\(554\) −9.76756 −0.414984
\(555\) 21.7663 + 20.6323i 0.923930 + 0.875792i
\(556\) 4.09040i 0.173472i
\(557\) −26.2909 −1.11398 −0.556992 0.830518i \(-0.688044\pi\)
−0.556992 + 0.830518i \(0.688044\pi\)
\(558\) −17.2103 8.74474i −0.728569 0.370195i
\(559\) −27.9559 + 13.9663i −1.18241 + 0.590710i
\(560\) −4.06891 + 3.71347i −0.171943 + 0.156923i
\(561\) −1.99521 + 0.592228i −0.0842380 + 0.0250039i
\(562\) 0.395750 + 0.685460i 0.0166937 + 0.0289144i
\(563\) −9.43940 + 16.3495i −0.397823 + 0.689050i −0.993457 0.114206i \(-0.963568\pi\)
0.595634 + 0.803256i \(0.296901\pi\)
\(564\) 0.986137 + 0.236165i 0.0415239 + 0.00994435i
\(565\) −41.5669 −1.74873
\(566\) −10.1855 + 5.88059i −0.428128 + 0.247180i
\(567\) −17.8377 15.7739i −0.749114 0.662441i
\(568\) 6.52888 + 11.3084i 0.273946 + 0.474488i
\(569\) 36.2914 20.9528i 1.52141 0.878388i 0.521733 0.853109i \(-0.325286\pi\)
0.999680 0.0252796i \(-0.00804760\pi\)
\(570\) 9.66178 10.1928i 0.404687 0.426931i
\(571\) 3.92765 + 6.80288i 0.164367 + 0.284692i 0.936430 0.350854i \(-0.114109\pi\)
−0.772063 + 0.635546i \(0.780775\pi\)
\(572\) −6.48643 4.28582i −0.271211 0.179199i
\(573\) −4.63989 + 4.89493i −0.193834 + 0.204488i
\(574\) −1.20244 + 1.09740i −0.0501887 + 0.0458045i
\(575\) 1.19515 + 0.690021i 0.0498413 + 0.0287759i
\(576\) 0.160371 + 2.99571i 0.00668213 + 0.124821i
\(577\) 11.6409 + 20.1626i 0.484617 + 0.839381i 0.999844 0.0176727i \(-0.00562569\pi\)
−0.515227 + 0.857054i \(0.672292\pi\)
\(578\) 8.34472 14.4535i 0.347095 0.601186i
\(579\) −4.28827 + 4.52398i −0.178215 + 0.188010i
\(580\) 14.6771 0.609431
\(581\) −24.3214 + 22.1969i −1.00902 + 0.920881i
\(582\) 5.47054 1.62379i 0.226761 0.0673082i
\(583\) 14.4156 8.32285i 0.597033 0.344697i
\(584\) −0.198890 0.344488i −0.00823013 0.0142550i
\(585\) 19.4270 + 11.3931i 0.803206 + 0.471047i
\(586\) −6.68038 3.85692i −0.275964 0.159328i
\(587\) −20.2618 11.6981i −0.836294 0.482834i 0.0197091 0.999806i \(-0.493726\pi\)
−0.856003 + 0.516971i \(0.827059\pi\)
\(588\) 2.37618 + 11.8892i 0.0979922 + 0.490304i
\(589\) −12.5299 21.7024i −0.516286 0.894233i
\(590\) 1.62989 2.82305i 0.0671015 0.116223i
\(591\) −18.2150 + 5.40665i −0.749265 + 0.222400i
\(592\) −7.20214 4.15815i −0.296006 0.170899i
\(593\) −4.32543 2.49729i −0.177624 0.102551i 0.408552 0.912735i \(-0.366034\pi\)
−0.586176 + 0.810184i \(0.699367\pi\)
\(594\) −11.0200 2.02325i −0.452155 0.0830148i
\(595\) −2.92590 0.928992i −0.119950 0.0380850i
\(596\) −0.573527 + 0.993378i −0.0234926 + 0.0406904i
\(597\) −9.99240 33.6644i −0.408962 1.37779i
\(598\) −4.12562 + 6.24398i −0.168709 + 0.255335i
\(599\) 7.43793 4.29429i 0.303905 0.175460i −0.340291 0.940320i \(-0.610525\pi\)
0.644196 + 0.764860i \(0.277192\pi\)
\(600\) −0.268206 + 1.11993i −0.0109495 + 0.0457208i
\(601\) −42.0105 24.2548i −1.71364 0.989373i −0.929523 0.368765i \(-0.879781\pi\)
−0.784121 0.620608i \(-0.786886\pi\)
\(602\) 22.3979 4.91837i 0.912871 0.200458i
\(603\) −42.7188 + 2.28689i −1.73964 + 0.0931292i
\(604\) 4.80216i 0.195397i
\(605\) 11.4511 + 6.61129i 0.465553 + 0.268787i
\(606\) −6.41023 + 26.7667i −0.260398 + 1.08732i
\(607\) 8.10700i 0.329053i −0.986373 0.164527i \(-0.947390\pi\)
0.986373 0.164527i \(-0.0526096\pi\)
\(608\) −1.94720 + 3.37265i −0.0789693 + 0.136779i
\(609\) 16.6775 27.6653i 0.675805 1.12105i
\(610\) 17.0778 0.691460
\(611\) −1.16365 + 1.76114i −0.0470762 + 0.0712482i
\(612\) −1.40108 + 0.912108i −0.0566352 + 0.0368698i
\(613\) 0.507258i 0.0204880i −0.999948 0.0102440i \(-0.996739\pi\)
0.999948 0.0102440i \(-0.00326082\pi\)
\(614\) 11.2783 + 19.5347i 0.455157 + 0.788355i
\(615\) 0.516791 2.15793i 0.0208390 0.0870160i
\(616\) 3.84572 + 4.21381i 0.154948 + 0.169779i
\(617\) −14.0828 24.3922i −0.566954 0.981993i −0.996865 0.0791221i \(-0.974788\pi\)
0.429911 0.902871i \(-0.358545\pi\)
\(618\) 3.19287 3.36837i 0.128436 0.135496i
\(619\) −12.3365 21.3674i −0.495846 0.858830i 0.504143 0.863620i \(-0.331809\pi\)
−0.999989 + 0.00479018i \(0.998475\pi\)
\(620\) −11.6030 6.69897i −0.465986 0.269037i
\(621\) −1.94762 + 10.6081i −0.0781552 + 0.425687i
\(622\) −6.64375 + 11.5073i −0.266390 + 0.461401i
\(623\) 21.9573 + 6.97158i 0.879702 + 0.279311i
\(624\) −5.97460 1.81773i −0.239175 0.0727674i
\(625\) 10.6168 18.3888i 0.424671 0.735553i
\(626\) 17.0404i 0.681070i
\(627\) −10.5558 10.0059i −0.421559 0.399595i
\(628\) 6.98248i 0.278631i
\(629\) 4.63444i 0.184787i
\(630\) −11.7770 11.5937i −0.469208 0.461905i
\(631\) 35.8457 20.6955i 1.42699 0.823875i 0.430111 0.902776i \(-0.358474\pi\)
0.996882 + 0.0789008i \(0.0251410\pi\)
\(632\) 5.73441 9.93228i 0.228102 0.395085i
\(633\) −21.2503 + 6.30761i −0.844624 + 0.250705i
\(634\) 15.2119 0.604140
\(635\) 26.5350 15.3200i 1.05301 0.607956i
\(636\) 9.19856 9.70416i 0.364746 0.384795i
\(637\) −24.9495 3.81072i −0.988536 0.150986i
\(638\) 15.1997i 0.601763i
\(639\) −32.8295 + 21.3722i −1.29872 + 0.845470i
\(640\) 2.08210i 0.0823021i
\(641\) −23.1368 13.3581i −0.913850 0.527612i −0.0321822 0.999482i \(-0.510246\pi\)
−0.881668 + 0.471870i \(0.843579\pi\)
\(642\) −6.76242 22.7826i −0.266891 0.899156i
\(643\) 22.0044 + 38.1127i 0.867769 + 1.50302i 0.864272 + 0.503025i \(0.167780\pi\)
0.00349687 + 0.999994i \(0.498887\pi\)
\(644\) 4.05630 3.70197i 0.159841 0.145878i
\(645\) −21.5031 + 22.6850i −0.846684 + 0.893223i
\(646\) −2.17023 −0.0853867
\(647\) 15.5467 0.611203 0.305601 0.952160i \(-0.401142\pi\)
0.305601 + 0.952160i \(0.401142\pi\)
\(648\) −8.94856 + 0.960850i −0.351533 + 0.0377458i
\(649\) −2.92359 1.68793i −0.114761 0.0662572i
\(650\) −2.00008 1.32152i −0.0784496 0.0518344i
\(651\) −25.8115 + 14.2588i −1.01163 + 0.558848i
\(652\) −17.0431 9.83983i −0.667459 0.385358i
\(653\) 24.1143 13.9224i 0.943667 0.544826i 0.0525588 0.998618i \(-0.483262\pi\)
0.891108 + 0.453792i \(0.149929\pi\)
\(654\) 1.43366 + 4.83001i 0.0560607 + 0.188868i
\(655\) 10.1756 5.87487i 0.397593 0.229550i
\(656\) 0.615297i 0.0240233i
\(657\) 1.00009 0.651063i 0.0390172 0.0254004i
\(658\) 1.14410 1.04416i 0.0446016 0.0407055i
\(659\) 37.5062 21.6542i 1.46103 0.843528i 0.461974 0.886893i \(-0.347141\pi\)
0.999059 + 0.0433655i \(0.0138080\pi\)
\(660\) −7.56222 1.81104i −0.294359 0.0704947i
\(661\) 19.3405 0.752257 0.376129 0.926567i \(-0.377255\pi\)
0.376129 + 0.926567i \(0.377255\pi\)
\(662\) 9.89667 5.71384i 0.384645 0.222075i
\(663\) −0.787480 3.38989i −0.0305832 0.131652i
\(664\) 12.4455i 0.482979i
\(665\) −4.60127 20.9539i −0.178430 0.812556i
\(666\) 11.3016 22.2424i 0.437929 0.861874i
\(667\) −14.6316 −0.566537
\(668\) 11.1356 6.42913i 0.430849 0.248751i
\(669\) 22.7179 6.74321i 0.878323 0.260707i
\(670\) −29.6907 −1.14705
\(671\) 17.6860i 0.682760i
\(672\) 3.92462 + 2.36588i 0.151395 + 0.0912656i
\(673\) 11.4777 19.8800i 0.442434 0.766319i −0.555435 0.831560i \(-0.687448\pi\)
0.997870 + 0.0652410i \(0.0207816\pi\)
\(674\) −0.346495 0.600147i −0.0133465 0.0231168i
\(675\) −3.39799 0.623864i −0.130789 0.0240125i
\(676\) 7.80698 10.3948i 0.300268 0.399799i
\(677\) 1.50584 2.60819i 0.0578740 0.100241i −0.835637 0.549282i \(-0.814901\pi\)
0.893511 + 0.449042i \(0.148234\pi\)
\(678\) 9.83945 + 33.1491i 0.377882 + 1.27308i
\(679\) 2.63785 8.30803i 0.101231 0.318833i
\(680\) −1.00484 + 0.580146i −0.0385339 + 0.0222476i
\(681\) −1.84507 6.21602i −0.0707031 0.238199i
\(682\) −6.93754 + 12.0162i −0.265652 + 0.460123i
\(683\) −15.5595 + 26.9499i −0.595368 + 1.03121i 0.398127 + 0.917331i \(0.369660\pi\)
−0.993495 + 0.113878i \(0.963673\pi\)
\(684\) −10.4157 5.29237i −0.398256 0.202359i
\(685\) 23.1163 13.3462i 0.883229 0.509932i
\(686\) 17.0675 + 7.19026i 0.651641 + 0.274526i
\(687\) −14.5710 + 4.32503i −0.555919 + 0.165010i
\(688\) 4.33366 7.50612i 0.165219 0.286168i
\(689\) 12.4394 + 24.8997i 0.473903 + 0.948601i
\(690\) −1.74335 + 7.27955i −0.0663680 + 0.277128i
\(691\) −23.4332 40.5876i −0.891442 1.54402i −0.838147 0.545444i \(-0.816361\pi\)
−0.0532952 0.998579i \(-0.516972\pi\)
\(692\) 2.21541 3.83719i 0.0842171 0.145868i
\(693\) −12.0066 + 12.1964i −0.456093 + 0.463304i
\(694\) 14.8415i 0.563375i
\(695\) −8.51661 −0.323054
\(696\) −3.47426 11.7048i −0.131692 0.443669i
\(697\) −0.296949 + 0.171444i −0.0112477 + 0.00649389i
\(698\) −18.7151 −0.708378
\(699\) 10.8638 + 36.6000i 0.410905 + 1.38434i
\(700\) 1.18582 + 1.29932i 0.0448198 + 0.0491097i
\(701\) 27.7719i 1.04893i −0.851433 0.524464i \(-0.824266\pi\)
0.851433 0.524464i \(-0.175734\pi\)
\(702\) 4.48724 18.1897i 0.169360 0.686525i
\(703\) 28.0480 16.1935i 1.05785 0.610750i
\(704\) 2.15624 0.0812665
\(705\) −0.491719 + 2.05323i −0.0185192 + 0.0773292i
\(706\) 21.1090 12.1873i 0.794448 0.458675i
\(707\) 28.3416 + 31.0543i 1.06589 + 1.16792i
\(708\) −2.63717 0.631563i −0.0991109 0.0237356i
\(709\) 32.1210i 1.20633i 0.797617 + 0.603165i \(0.206094\pi\)
−0.797617 + 0.603165i \(0.793906\pi\)
\(710\) −23.5451 + 13.5938i −0.883632 + 0.510165i
\(711\) 30.6739 + 15.5858i 1.15036 + 0.584512i
\(712\) 7.54080 4.35368i 0.282603 0.163161i
\(713\) 11.5670 + 6.67822i 0.433188 + 0.250101i
\(714\) −0.0482588 + 2.55328i −0.00180604 + 0.0955541i
\(715\) 8.92349 13.5054i 0.333720 0.505073i
\(716\) 19.6844 + 11.3648i 0.735639 + 0.424722i
\(717\) 15.5208 + 14.7121i 0.579633 + 0.549433i
\(718\) 5.58009 0.208247
\(719\) 37.0497 1.38172 0.690861 0.722987i \(-0.257232\pi\)
0.690861 + 0.722987i \(0.257232\pi\)
\(720\) −6.23736 + 0.333908i −0.232453 + 0.0124440i
\(721\) −1.52055 6.92450i −0.0566284 0.257882i
\(722\) 1.91683 + 3.32005i 0.0713372 + 0.123560i
\(723\) 2.03335 0.603548i 0.0756211 0.0224462i
\(724\) 8.89090 + 5.13316i 0.330428 + 0.190773i
\(725\) 4.68681i 0.174064i
\(726\) 2.56180 10.6971i 0.0950772 0.397007i
\(727\) 8.65396i 0.320957i −0.987039 0.160479i \(-0.948696\pi\)
0.987039 0.160479i \(-0.0513038\pi\)
\(728\) −7.42074 + 5.99438i −0.275031 + 0.222167i
\(729\) −4.31352 26.6532i −0.159760 0.987156i
\(730\) 0.717256 0.414108i 0.0265468 0.0153268i
\(731\) 4.83004 0.178646
\(732\) −4.04256 13.6194i −0.149417 0.503386i
\(733\) 11.2469 19.4802i 0.415413 0.719516i −0.580059 0.814574i \(-0.696971\pi\)
0.995472 + 0.0950586i \(0.0303039\pi\)
\(734\) −28.5675 + 16.4934i −1.05444 + 0.608784i
\(735\) −24.7545 + 4.94745i −0.913084 + 0.182489i
\(736\) 2.07565i 0.0765093i
\(737\) 30.7480i 1.13262i
\(738\) −1.84325 + 0.0986758i −0.0678511 + 0.00363231i
\(739\) 22.8275i 0.839724i −0.907588 0.419862i \(-0.862078\pi\)
0.907588 0.419862i \(-0.137922\pi\)
\(740\) 8.65768 14.9955i 0.318263 0.551247i
\(741\) 17.7643 16.6107i 0.652588 0.610211i
\(742\) −4.38067 19.9493i −0.160819 0.732360i
\(743\) −5.89495 + 10.2104i −0.216265 + 0.374582i −0.953663 0.300877i \(-0.902721\pi\)
0.737398 + 0.675458i \(0.236054\pi\)
\(744\) −2.59577 + 10.8390i −0.0951656 + 0.397376i
\(745\) −2.06831 1.19414i −0.0757770 0.0437499i
\(746\) −9.62708 16.6746i −0.352473 0.610500i
\(747\) −37.2831 + 1.99590i −1.36412 + 0.0730260i
\(748\) 0.600806 + 1.04063i 0.0219676 + 0.0380491i
\(749\) −34.5995 10.9856i −1.26424 0.401404i
\(750\) −19.8674 4.75796i −0.725456 0.173736i
\(751\) −2.07414 3.59252i −0.0756864 0.131093i 0.825698 0.564112i \(-0.190781\pi\)
−0.901385 + 0.433019i \(0.857448\pi\)
\(752\) 0.585446i 0.0213490i
\(753\) −5.59396 + 23.3583i −0.203855 + 0.851223i
\(754\) 25.3700 + 1.53133i 0.923920 + 0.0557676i
\(755\) −9.99856 −0.363885
\(756\) −6.45808 + 12.1364i −0.234878 + 0.441398i
\(757\) 16.7609 29.0308i 0.609186 1.05514i −0.382189 0.924084i \(-0.624830\pi\)
0.991375 0.131057i \(-0.0418372\pi\)
\(758\) 12.5829i 0.457031i
\(759\) 7.53880 + 1.80543i 0.273641 + 0.0655329i
\(760\) −7.02218 4.05426i −0.254721 0.147063i
\(761\) 7.07273i 0.256386i 0.991749 + 0.128193i \(0.0409178\pi\)
−0.991749 + 0.128193i \(0.959082\pi\)
\(762\) −18.4987 17.5349i −0.670139 0.635224i
\(763\) 7.33526 + 2.32899i 0.265554 + 0.0843152i
\(764\) 3.37227 + 1.94698i 0.122005 + 0.0704394i
\(765\) −1.89910 2.91718i −0.0686620 0.105471i
\(766\) 1.03501 0.597562i 0.0373964 0.0215908i
\(767\) 3.11188 4.70972i 0.112364 0.170058i
\(768\) 1.66045 0.492861i 0.0599163 0.0177846i
\(769\) 3.05595 5.29306i 0.110200 0.190872i −0.805651 0.592391i \(-0.798184\pi\)
0.915851 + 0.401518i \(0.131517\pi\)
\(770\) −8.77356 + 8.00716i −0.316177 + 0.288558i
\(771\) −4.29856 + 17.9492i −0.154809 + 0.646424i
\(772\) 3.11672 + 1.79944i 0.112173 + 0.0647632i
\(773\) −33.4359 19.3042i −1.20261 0.694324i −0.241471 0.970408i \(-0.577630\pi\)
−0.961134 + 0.276084i \(0.910963\pi\)
\(774\) 23.1811 +