Properties

Label 273.2.r.b.269.21
Level $273$
Weight $2$
Character 273.269
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 269.21
Character \(\chi\) \(=\) 273.269
Dual form 273.2.r.b.68.12

$q$-expansion

\(f(q)\) \(=\) \(q+0.883413i q^{2} +(1.41202 - 1.00309i) q^{3} +1.21958 q^{4} +(-1.72131 - 2.98140i) q^{5} +(0.886146 + 1.24740i) q^{6} +(-2.26618 - 1.36544i) q^{7} +2.84422i q^{8} +(0.987606 - 2.83278i) q^{9} +O(q^{10})\) \(q+0.883413i q^{2} +(1.41202 - 1.00309i) q^{3} +1.21958 q^{4} +(-1.72131 - 2.98140i) q^{5} +(0.886146 + 1.24740i) q^{6} +(-2.26618 - 1.36544i) q^{7} +2.84422i q^{8} +(0.987606 - 2.83278i) q^{9} +(2.63381 - 1.52063i) q^{10} +(3.32619 - 1.92038i) q^{11} +(1.72207 - 1.22335i) q^{12} +(0.144185 + 3.60267i) q^{13} +(1.20624 - 2.00198i) q^{14} +(-5.42115 - 2.48316i) q^{15} -0.0734612 q^{16} -0.161995 q^{17} +(2.50251 + 0.872465i) q^{18} +(-1.41529 - 0.817116i) q^{19} +(-2.09928 - 3.63606i) q^{20} +(-4.56956 + 0.345169i) q^{21} +(1.69649 + 2.93840i) q^{22} +4.54399i q^{23} +(2.85302 + 4.01610i) q^{24} +(-3.42582 + 5.93370i) q^{25} +(-3.18264 + 0.127375i) q^{26} +(-1.44702 - 4.99060i) q^{27} +(-2.76379 - 1.66526i) q^{28} +(8.21721 + 4.74421i) q^{29} +(2.19366 - 4.78911i) q^{30} +(0.139734 + 0.0806754i) q^{31} +5.62354i q^{32} +(2.77034 - 6.04810i) q^{33} -0.143108i q^{34} +(-0.170104 + 9.10673i) q^{35} +(1.20447 - 3.45480i) q^{36} -3.98455 q^{37} +(0.721851 - 1.25028i) q^{38} +(3.81740 + 4.94241i) q^{39} +(8.47975 - 4.89579i) q^{40} +(2.41336 - 4.18006i) q^{41} +(-0.304927 - 4.03681i) q^{42} +(4.32913 + 7.49828i) q^{43} +(4.05656 - 2.34206i) q^{44} +(-10.1456 + 1.93164i) q^{45} -4.01422 q^{46} +(3.42471 + 5.93177i) q^{47} +(-0.103729 + 0.0736885i) q^{48} +(3.27117 + 6.18866i) q^{49} +(-5.24191 - 3.02642i) q^{50} +(-0.228740 + 0.162496i) q^{51} +(0.175845 + 4.39374i) q^{52} +(-11.2686 - 6.50591i) q^{53} +(4.40877 - 1.27832i) q^{54} +(-11.4508 - 6.61114i) q^{55} +(3.88360 - 6.44552i) q^{56} +(-2.81806 + 0.265880i) q^{57} +(-4.19110 + 7.25920i) q^{58} -8.91725 q^{59} +(-6.61153 - 3.02841i) q^{60} +(-5.63535 - 3.25357i) q^{61} +(-0.0712698 + 0.123443i) q^{62} +(-6.10608 + 5.07108i) q^{63} -5.11484 q^{64} +(10.4928 - 6.63118i) q^{65} +(5.34297 + 2.44735i) q^{66} +(0.472730 + 0.818793i) q^{67} -0.197566 q^{68} +(4.55805 + 6.41621i) q^{69} +(-8.04501 - 0.150272i) q^{70} +(4.33350 - 2.50195i) q^{71} +(8.05705 + 2.80897i) q^{72} +(8.62581 + 4.98012i) q^{73} -3.52001i q^{74} +(1.11472 + 11.8149i) q^{75} +(-1.72606 - 0.996539i) q^{76} +(-10.1599 - 0.189777i) q^{77} +(-4.36619 + 3.37235i) q^{78} +(-5.23295 - 9.06373i) q^{79} +(0.126450 + 0.219017i) q^{80} +(-7.04927 - 5.59534i) q^{81} +(3.69272 + 2.13200i) q^{82} -1.04892 q^{83} +(-5.57294 + 0.420961i) q^{84} +(0.278843 + 0.482971i) q^{85} +(-6.62408 + 3.82441i) q^{86} +(16.3618 - 1.54371i) q^{87} +(5.46198 + 9.46043i) q^{88} -6.88870 q^{89} +(-1.70644 - 8.96277i) q^{90} +(4.59246 - 8.36118i) q^{91} +5.54177i q^{92} +(0.278232 - 0.0262508i) q^{93} +(-5.24021 + 3.02543i) q^{94} +5.62604i q^{95} +(5.64094 + 7.94056i) q^{96} +(6.97520 - 4.02713i) q^{97} +(-5.46714 + 2.88979i) q^{98} +(-2.15504 - 11.3189i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.883413i 0.624668i 0.949972 + 0.312334i \(0.101111\pi\)
−0.949972 + 0.312334i \(0.898889\pi\)
\(3\) 1.41202 1.00309i 0.815231 0.579136i
\(4\) 1.21958 0.609790
\(5\) −1.72131 2.98140i −0.769794 1.33332i −0.937675 0.347514i \(-0.887026\pi\)
0.167881 0.985807i \(-0.446308\pi\)
\(6\) 0.886146 + 1.24740i 0.361768 + 0.509248i
\(7\) −2.26618 1.36544i −0.856537 0.516086i
\(8\) 2.84422i 1.00558i
\(9\) 0.987606 2.83278i 0.329202 0.944259i
\(10\) 2.63381 1.52063i 0.832883 0.480865i
\(11\) 3.32619 1.92038i 1.00289 0.579016i 0.0937846 0.995593i \(-0.470104\pi\)
0.909101 + 0.416576i \(0.136770\pi\)
\(12\) 1.72207 1.22335i 0.497120 0.353152i
\(13\) 0.144185 + 3.60267i 0.0399897 + 0.999200i
\(14\) 1.20624 2.00198i 0.322382 0.535051i
\(15\) −5.42115 2.48316i −1.39973 0.641149i
\(16\) −0.0734612 −0.0183653
\(17\) −0.161995 −0.0392895 −0.0196448 0.999807i \(-0.506254\pi\)
−0.0196448 + 0.999807i \(0.506254\pi\)
\(18\) 2.50251 + 0.872465i 0.589848 + 0.205642i
\(19\) −1.41529 0.817116i −0.324689 0.187459i 0.328792 0.944402i \(-0.393359\pi\)
−0.653481 + 0.756943i \(0.726692\pi\)
\(20\) −2.09928 3.63606i −0.469413 0.813047i
\(21\) −4.56956 + 0.345169i −0.997159 + 0.0753220i
\(22\) 1.69649 + 2.93840i 0.361693 + 0.626470i
\(23\) 4.54399i 0.947488i 0.880663 + 0.473744i \(0.157098\pi\)
−0.880663 + 0.473744i \(0.842902\pi\)
\(24\) 2.85302 + 4.01610i 0.582370 + 0.819783i
\(25\) −3.42582 + 5.93370i −0.685164 + 1.18674i
\(26\) −3.18264 + 0.127375i −0.624168 + 0.0249803i
\(27\) −1.44702 4.99060i −0.278479 0.960442i
\(28\) −2.76379 1.66526i −0.522308 0.314705i
\(29\) 8.21721 + 4.74421i 1.52590 + 0.880978i 0.999528 + 0.0307223i \(0.00978076\pi\)
0.526370 + 0.850255i \(0.323553\pi\)
\(30\) 2.19366 4.78911i 0.400505 0.874369i
\(31\) 0.139734 + 0.0806754i 0.0250970 + 0.0144897i 0.512496 0.858690i \(-0.328721\pi\)
−0.487399 + 0.873179i \(0.662054\pi\)
\(32\) 5.62354i 0.994112i
\(33\) 2.77034 6.04810i 0.482254 1.05284i
\(34\) 0.143108i 0.0245429i
\(35\) −0.170104 + 9.10673i −0.0287528 + 1.53932i
\(36\) 1.20447 3.45480i 0.200744 0.575800i
\(37\) −3.98455 −0.655056 −0.327528 0.944841i \(-0.606216\pi\)
−0.327528 + 0.944841i \(0.606216\pi\)
\(38\) 0.721851 1.25028i 0.117100 0.202823i
\(39\) 3.81740 + 4.94241i 0.611274 + 0.791419i
\(40\) 8.47975 4.89579i 1.34077 0.774092i
\(41\) 2.41336 4.18006i 0.376904 0.652816i −0.613706 0.789534i \(-0.710322\pi\)
0.990610 + 0.136718i \(0.0436555\pi\)
\(42\) −0.304927 4.03681i −0.0470512 0.622893i
\(43\) 4.32913 + 7.49828i 0.660186 + 1.14348i 0.980566 + 0.196187i \(0.0628561\pi\)
−0.320380 + 0.947289i \(0.603811\pi\)
\(44\) 4.05656 2.34206i 0.611550 0.353078i
\(45\) −10.1456 + 1.93164i −1.51242 + 0.287953i
\(46\) −4.01422 −0.591865
\(47\) 3.42471 + 5.93177i 0.499545 + 0.865238i 1.00000 0.000525066i \(-0.000167134\pi\)
−0.500455 + 0.865763i \(0.666834\pi\)
\(48\) −0.103729 + 0.0736885i −0.0149720 + 0.0106360i
\(49\) 3.27117 + 6.18866i 0.467310 + 0.884094i
\(50\) −5.24191 3.02642i −0.741317 0.428000i
\(51\) −0.228740 + 0.162496i −0.0320300 + 0.0227540i
\(52\) 0.175845 + 4.39374i 0.0243853 + 0.609303i
\(53\) −11.2686 6.50591i −1.54786 0.893656i −0.998305 0.0581968i \(-0.981465\pi\)
−0.549552 0.835459i \(-0.685202\pi\)
\(54\) 4.40877 1.27832i 0.599957 0.173957i
\(55\) −11.4508 6.61114i −1.54403 0.891446i
\(56\) 3.88360 6.44552i 0.518968 0.861319i
\(57\) −2.81806 + 0.265880i −0.373261 + 0.0352166i
\(58\) −4.19110 + 7.25920i −0.550318 + 0.953179i
\(59\) −8.91725 −1.16093 −0.580464 0.814286i \(-0.697129\pi\)
−0.580464 + 0.814286i \(0.697129\pi\)
\(60\) −6.61153 3.02841i −0.853544 0.390967i
\(61\) −5.63535 3.25357i −0.721533 0.416577i 0.0937835 0.995593i \(-0.470104\pi\)
−0.815317 + 0.579015i \(0.803437\pi\)
\(62\) −0.0712698 + 0.123443i −0.00905127 + 0.0156773i
\(63\) −6.10608 + 5.07108i −0.769293 + 0.638896i
\(64\) −5.11484 −0.639355
\(65\) 10.4928 6.63118i 1.30147 0.822497i
\(66\) 5.34297 + 2.44735i 0.657674 + 0.301248i
\(67\) 0.472730 + 0.818793i 0.0577532 + 0.100031i 0.893457 0.449150i \(-0.148273\pi\)
−0.835703 + 0.549181i \(0.814940\pi\)
\(68\) −0.197566 −0.0239584
\(69\) 4.55805 + 6.41621i 0.548725 + 0.772421i
\(70\) −8.04501 0.150272i −0.961562 0.0179610i
\(71\) 4.33350 2.50195i 0.514292 0.296927i −0.220304 0.975431i \(-0.570705\pi\)
0.734596 + 0.678505i \(0.237372\pi\)
\(72\) 8.05705 + 2.80897i 0.949532 + 0.331040i
\(73\) 8.62581 + 4.98012i 1.00958 + 0.582878i 0.911067 0.412258i \(-0.135260\pi\)
0.0985078 + 0.995136i \(0.468593\pi\)
\(74\) 3.52001i 0.409193i
\(75\) 1.11472 + 11.8149i 0.128717 + 1.36427i
\(76\) −1.72606 0.996539i −0.197992 0.114311i
\(77\) −10.1599 0.189777i −1.15783 0.0216270i
\(78\) −4.36619 + 3.37235i −0.494374 + 0.381843i
\(79\) −5.23295 9.06373i −0.588753 1.01975i −0.994396 0.105718i \(-0.966286\pi\)
0.405644 0.914031i \(-0.367047\pi\)
\(80\) 0.126450 + 0.219017i 0.0141375 + 0.0244868i
\(81\) −7.04927 5.59534i −0.783252 0.621705i
\(82\) 3.69272 + 2.13200i 0.407793 + 0.235439i
\(83\) −1.04892 −0.115134 −0.0575672 0.998342i \(-0.518334\pi\)
−0.0575672 + 0.998342i \(0.518334\pi\)
\(84\) −5.57294 + 0.420961i −0.608058 + 0.0459306i
\(85\) 0.278843 + 0.482971i 0.0302448 + 0.0523856i
\(86\) −6.62408 + 3.82441i −0.714293 + 0.412397i
\(87\) 16.3618 1.54371i 1.75417 0.165503i
\(88\) 5.46198 + 9.46043i 0.582249 + 1.00849i
\(89\) −6.88870 −0.730200 −0.365100 0.930968i \(-0.618965\pi\)
−0.365100 + 0.930968i \(0.618965\pi\)
\(90\) −1.70644 8.96277i −0.179875 0.944759i
\(91\) 4.59246 8.36118i 0.481421 0.876490i
\(92\) 5.54177i 0.577769i
\(93\) 0.278232 0.0262508i 0.0288513 0.00272208i
\(94\) −5.24021 + 3.02543i −0.540486 + 0.312050i
\(95\) 5.62604i 0.577220i
\(96\) 5.64094 + 7.94056i 0.575726 + 0.810430i
\(97\) 6.97520 4.02713i 0.708224 0.408893i −0.102179 0.994766i \(-0.532581\pi\)
0.810403 + 0.585873i \(0.199248\pi\)
\(98\) −5.46714 + 2.88979i −0.552265 + 0.291913i
\(99\) −2.15504 11.3189i −0.216589 1.13760i
\(100\) −4.17807 + 7.23662i −0.417807 + 0.723662i
\(101\) −2.54956 4.41597i −0.253691 0.439405i 0.710848 0.703345i \(-0.248311\pi\)
−0.964539 + 0.263940i \(0.914978\pi\)
\(102\) −0.143551 0.202072i −0.0142137 0.0200081i
\(103\) −0.996557 + 0.575362i −0.0981937 + 0.0566921i −0.548293 0.836287i \(-0.684722\pi\)
0.450099 + 0.892979i \(0.351389\pi\)
\(104\) −10.2468 + 0.410094i −1.00478 + 0.0402130i
\(105\) 8.89471 + 13.0295i 0.868035 + 1.27155i
\(106\) 5.74741 9.95481i 0.558238 0.966897i
\(107\) 19.1301i 1.84938i −0.380720 0.924690i \(-0.624324\pi\)
0.380720 0.924690i \(-0.375676\pi\)
\(108\) −1.76476 6.08644i −0.169814 0.585668i
\(109\) −9.89648 + 17.1412i −0.947911 + 1.64183i −0.198096 + 0.980183i \(0.563476\pi\)
−0.749815 + 0.661647i \(0.769858\pi\)
\(110\) 5.84037 10.1158i 0.556857 0.964505i
\(111\) −5.62627 + 3.99688i −0.534022 + 0.379367i
\(112\) 0.166476 + 0.100307i 0.0157305 + 0.00947808i
\(113\) −0.613946 + 0.354462i −0.0577552 + 0.0333450i −0.528600 0.848871i \(-0.677283\pi\)
0.470844 + 0.882216i \(0.343949\pi\)
\(114\) −0.234882 2.48951i −0.0219987 0.233164i
\(115\) 13.5475 7.82162i 1.26331 0.729370i
\(116\) 10.0216 + 5.78595i 0.930478 + 0.537212i
\(117\) 10.3480 + 3.14957i 0.956669 + 0.291178i
\(118\) 7.87762i 0.725194i
\(119\) 0.367110 + 0.221194i 0.0336529 + 0.0202768i
\(120\) 7.06266 15.4189i 0.644729 1.40755i
\(121\) 1.87571 3.24883i 0.170519 0.295348i
\(122\) 2.87425 4.97835i 0.260222 0.450718i
\(123\) −0.785279 8.32316i −0.0708062 0.750474i
\(124\) 0.170417 + 0.0983902i 0.0153039 + 0.00883570i
\(125\) 6.37450 0.570153
\(126\) −4.47986 5.39419i −0.399098 0.480553i
\(127\) 3.35273 5.80710i 0.297507 0.515297i −0.678058 0.735008i \(-0.737178\pi\)
0.975565 + 0.219711i \(0.0705116\pi\)
\(128\) 6.72857i 0.594728i
\(129\) 13.6343 + 6.24520i 1.20043 + 0.549859i
\(130\) 5.85808 + 9.26948i 0.513787 + 0.812987i
\(131\) 5.07994 + 8.79871i 0.443836 + 0.768747i 0.997970 0.0636806i \(-0.0202839\pi\)
−0.554134 + 0.832427i \(0.686951\pi\)
\(132\) 3.37865 7.37615i 0.294074 0.642011i
\(133\) 2.09158 + 3.78422i 0.181363 + 0.328133i
\(134\) −0.723332 + 0.417616i −0.0624864 + 0.0360765i
\(135\) −12.3882 + 12.9045i −1.06621 + 1.11064i
\(136\) 0.460749i 0.0395089i
\(137\) 9.23159i 0.788708i 0.918959 + 0.394354i \(0.129032\pi\)
−0.918959 + 0.394354i \(0.870968\pi\)
\(138\) −5.66817 + 4.02664i −0.482507 + 0.342771i
\(139\) 8.92213 5.15119i 0.756765 0.436919i −0.0713680 0.997450i \(-0.522736\pi\)
0.828133 + 0.560532i \(0.189403\pi\)
\(140\) −0.207456 + 11.1064i −0.0175332 + 0.938662i
\(141\) 10.7859 + 4.94048i 0.908335 + 0.416064i
\(142\) 2.21026 + 3.82827i 0.185481 + 0.321262i
\(143\) 7.39807 + 11.7063i 0.618658 + 0.978928i
\(144\) −0.0725507 + 0.208099i −0.00604590 + 0.0173416i
\(145\) 32.6650i 2.71268i
\(146\) −4.39950 + 7.62016i −0.364105 + 0.630649i
\(147\) 10.8268 + 5.45723i 0.892976 + 0.450104i
\(148\) −4.85948 −0.399447
\(149\) 2.60371 + 1.50326i 0.213305 + 0.123151i 0.602846 0.797857i \(-0.294033\pi\)
−0.389542 + 0.921009i \(0.627367\pi\)
\(150\) −10.4375 + 0.984760i −0.852215 + 0.0804053i
\(151\) 1.79991 3.11753i 0.146475 0.253701i −0.783448 0.621458i \(-0.786541\pi\)
0.929922 + 0.367757i \(0.119874\pi\)
\(152\) 2.32406 4.02539i 0.188506 0.326502i
\(153\) −0.159987 + 0.458895i −0.0129342 + 0.0370995i
\(154\) 0.167651 8.97541i 0.0135097 0.723259i
\(155\) 0.555470i 0.0446164i
\(156\) 4.65563 + 6.02767i 0.372749 + 0.482600i
\(157\) 4.18032 + 2.41351i 0.333626 + 0.192619i 0.657450 0.753498i \(-0.271635\pi\)
−0.323824 + 0.946117i \(0.604968\pi\)
\(158\) 8.00702 4.62286i 0.637004 0.367775i
\(159\) −22.4375 + 2.11695i −1.77941 + 0.167885i
\(160\) 16.7660 9.67987i 1.32547 0.765261i
\(161\) 6.20453 10.2975i 0.488986 0.811558i
\(162\) 4.94300 6.22742i 0.388359 0.489272i
\(163\) 4.21441 7.29957i 0.330098 0.571746i −0.652433 0.757847i \(-0.726252\pi\)
0.982531 + 0.186100i \(0.0595849\pi\)
\(164\) 2.94329 5.09792i 0.229832 0.398081i
\(165\) −22.8004 + 2.15119i −1.77501 + 0.167470i
\(166\) 0.926634i 0.0719207i
\(167\) −0.713480 + 1.23578i −0.0552108 + 0.0956279i −0.892310 0.451423i \(-0.850916\pi\)
0.837099 + 0.547051i \(0.184250\pi\)
\(168\) −0.981736 12.9968i −0.0757425 1.00273i
\(169\) −12.9584 + 1.03890i −0.996802 + 0.0799155i
\(170\) −0.426663 + 0.246334i −0.0327236 + 0.0188930i
\(171\) −3.71245 + 3.20220i −0.283899 + 0.244879i
\(172\) 5.27973 + 9.14475i 0.402575 + 0.697281i
\(173\) −8.35447 + 14.4704i −0.635179 + 1.10016i 0.351299 + 0.936263i \(0.385740\pi\)
−0.986477 + 0.163898i \(0.947593\pi\)
\(174\) 1.36373 + 14.4542i 0.103384 + 1.09577i
\(175\) 15.8656 8.76910i 1.19933 0.662881i
\(176\) −0.244346 + 0.141073i −0.0184183 + 0.0106338i
\(177\) −12.5913 + 8.94484i −0.946423 + 0.672335i
\(178\) 6.08557i 0.456133i
\(179\) 9.53071 5.50256i 0.712359 0.411281i −0.0995749 0.995030i \(-0.531748\pi\)
0.811934 + 0.583749i \(0.198415\pi\)
\(180\) −12.3734 + 2.35580i −0.922259 + 0.175591i
\(181\) 2.82101i 0.209684i −0.994489 0.104842i \(-0.966566\pi\)
0.994489 0.104842i \(-0.0334337\pi\)
\(182\) 7.38638 + 4.05704i 0.547515 + 0.300728i
\(183\) −11.2209 + 1.05867i −0.829471 + 0.0782594i
\(184\) −12.9241 −0.952779
\(185\) 6.85865 + 11.8795i 0.504258 + 0.873401i
\(186\) 0.0231903 + 0.245794i 0.00170040 + 0.0180225i
\(187\) −0.538826 + 0.311091i −0.0394029 + 0.0227493i
\(188\) 4.17671 + 7.23427i 0.304618 + 0.527614i
\(189\) −3.53514 + 13.2854i −0.257144 + 0.966373i
\(190\) −4.97012 −0.360570
\(191\) −2.19950 1.26988i −0.159150 0.0918854i 0.418310 0.908304i \(-0.362623\pi\)
−0.577460 + 0.816419i \(0.695956\pi\)
\(192\) −7.22226 + 5.13066i −0.521222 + 0.370274i
\(193\) −5.35745 9.27937i −0.385638 0.667944i 0.606220 0.795297i \(-0.292685\pi\)
−0.991857 + 0.127353i \(0.959352\pi\)
\(194\) 3.55762 + 6.16198i 0.255422 + 0.442405i
\(195\) 8.16435 19.8886i 0.584661 1.42425i
\(196\) 3.98945 + 7.54757i 0.284961 + 0.539112i
\(197\) −4.30705 2.48668i −0.306865 0.177168i 0.338658 0.940910i \(-0.390027\pi\)
−0.645523 + 0.763741i \(0.723360\pi\)
\(198\) 9.99931 1.90379i 0.710620 0.135296i
\(199\) 9.82186i 0.696253i 0.937448 + 0.348127i \(0.113182\pi\)
−0.937448 + 0.348127i \(0.886818\pi\)
\(200\) −16.8767 9.74379i −1.19337 0.688990i
\(201\) 1.48883 + 0.681960i 0.105014 + 0.0481017i
\(202\) 3.90112 2.25231i 0.274482 0.158472i
\(203\) −12.1438 21.9713i −0.852327 1.54208i
\(204\) −0.278967 + 0.198177i −0.0195316 + 0.0138752i
\(205\) −16.6166 −1.16055
\(206\) −0.508283 0.880372i −0.0354137 0.0613384i
\(207\) 12.8721 + 4.48768i 0.894675 + 0.311915i
\(208\) −0.0105920 0.264656i −0.000734423 0.0183506i
\(209\) −6.27669 −0.434168
\(210\) −11.5105 + 7.85771i −0.794297 + 0.542233i
\(211\) 7.89735 13.6786i 0.543676 0.941675i −0.455013 0.890485i \(-0.650365\pi\)
0.998689 0.0511899i \(-0.0163014\pi\)
\(212\) −13.7429 7.93449i −0.943869 0.544943i
\(213\) 3.60931 7.87971i 0.247306 0.539909i
\(214\) 16.8998 1.15525
\(215\) 14.9036 25.8137i 1.01641 1.76048i
\(216\) 14.1944 4.11565i 0.965805 0.280034i
\(217\) −0.206505 0.373623i −0.0140185 0.0253632i
\(218\) −15.1428 8.74268i −1.02560 0.592129i
\(219\) 17.1754 1.62047i 1.16060 0.109501i
\(220\) −13.9652 8.06282i −0.941534 0.543595i
\(221\) −0.0233572 0.583613i −0.00157118 0.0392581i
\(222\) −3.53090 4.97032i −0.236978 0.333586i
\(223\) 0.772875 + 0.446219i 0.0517555 + 0.0298811i 0.525654 0.850698i \(-0.323820\pi\)
−0.473899 + 0.880579i \(0.657154\pi\)
\(224\) 7.67859 12.7440i 0.513048 0.851493i
\(225\) 13.4255 + 15.5647i 0.895032 + 1.03765i
\(226\) −0.313136 0.542368i −0.0208295 0.0360778i
\(227\) −2.82097 −0.187234 −0.0936171 0.995608i \(-0.529843\pi\)
−0.0936171 + 0.995608i \(0.529843\pi\)
\(228\) −3.43685 + 0.324262i −0.227611 + 0.0214748i
\(229\) −15.0847 + 8.70916i −0.996826 + 0.575518i −0.907308 0.420467i \(-0.861866\pi\)
−0.0895184 + 0.995985i \(0.528533\pi\)
\(230\) 6.90973 + 11.9680i 0.455614 + 0.789146i
\(231\) −14.5364 + 9.92338i −0.956424 + 0.652911i
\(232\) −13.4936 + 23.3716i −0.885897 + 1.53442i
\(233\) −17.8552 + 10.3087i −1.16973 + 0.675345i −0.953617 0.301023i \(-0.902672\pi\)
−0.216115 + 0.976368i \(0.569338\pi\)
\(234\) −2.78238 + 9.14152i −0.181890 + 0.597600i
\(235\) 11.7900 20.4208i 0.769093 1.33211i
\(236\) −10.8753 −0.707922
\(237\) −16.4808 7.54904i −1.07054 0.490363i
\(238\) −0.195405 + 0.324310i −0.0126662 + 0.0210219i
\(239\) 17.5634i 1.13608i 0.823000 + 0.568042i \(0.192299\pi\)
−0.823000 + 0.568042i \(0.807701\pi\)
\(240\) 0.398244 + 0.182416i 0.0257065 + 0.0117749i
\(241\) 1.97278i 0.127078i 0.997979 + 0.0635389i \(0.0202387\pi\)
−0.997979 + 0.0635389i \(0.979761\pi\)
\(242\) 2.87006 + 1.65703i 0.184494 + 0.106518i
\(243\) −15.5664 0.829664i −0.998583 0.0532229i
\(244\) −6.87277 3.96800i −0.439984 0.254025i
\(245\) 12.8201 20.4052i 0.819049 1.30364i
\(246\) 7.35279 0.693726i 0.468797 0.0442303i
\(247\) 2.73973 5.21662i 0.174325 0.331926i
\(248\) −0.229459 + 0.397434i −0.0145706 + 0.0252371i
\(249\) −1.48110 + 1.05217i −0.0938611 + 0.0666785i
\(250\) 5.63132i 0.356156i
\(251\) 0.542545 + 0.939716i 0.0342452 + 0.0593144i 0.882640 0.470050i \(-0.155764\pi\)
−0.848395 + 0.529364i \(0.822431\pi\)
\(252\) −7.44685 + 6.18459i −0.469108 + 0.389593i
\(253\) 8.72619 + 15.1142i 0.548611 + 0.950222i
\(254\) 5.13007 + 2.96185i 0.321889 + 0.185843i
\(255\) 0.878198 + 0.402259i 0.0549949 + 0.0251904i
\(256\) −16.1738 −1.01086
\(257\) 13.9742 0.871688 0.435844 0.900022i \(-0.356450\pi\)
0.435844 + 0.900022i \(0.356450\pi\)
\(258\) −5.51709 + 12.0447i −0.343479 + 0.749872i
\(259\) 9.02973 + 5.44065i 0.561080 + 0.338066i
\(260\) 12.7968 8.08726i 0.793625 0.501551i
\(261\) 21.5547 18.5921i 1.33420 1.15082i
\(262\) −7.77290 + 4.48768i −0.480211 + 0.277250i
\(263\) −5.41212 + 3.12469i −0.333726 + 0.192677i −0.657494 0.753460i \(-0.728383\pi\)
0.323768 + 0.946136i \(0.395050\pi\)
\(264\) 17.2021 + 7.87945i 1.05872 + 0.484946i
\(265\) 44.7948i 2.75172i
\(266\) −3.34303 + 1.84773i −0.204974 + 0.113291i
\(267\) −9.72699 + 6.91001i −0.595282 + 0.422886i
\(268\) 0.576533 + 0.998584i 0.0352173 + 0.0609982i
\(269\) −10.0437 −0.612376 −0.306188 0.951971i \(-0.599054\pi\)
−0.306188 + 0.951971i \(0.599054\pi\)
\(270\) −11.4000 10.9439i −0.693784 0.666025i
\(271\) 15.3416i 0.931936i −0.884802 0.465968i \(-0.845706\pi\)
0.884802 0.465968i \(-0.154294\pi\)
\(272\) 0.0119003 0.000721564
\(273\) −1.90239 16.4128i −0.115138 0.993350i
\(274\) −8.15531 −0.492680
\(275\) 26.3155i 1.58688i
\(276\) 5.55891 + 7.82509i 0.334607 + 0.471015i
\(277\) 9.45069 0.567837 0.283919 0.958848i \(-0.408365\pi\)
0.283919 + 0.958848i \(0.408365\pi\)
\(278\) 4.55063 + 7.88193i 0.272929 + 0.472727i
\(279\) 0.366538 0.316160i 0.0219440 0.0189280i
\(280\) −25.9016 0.483814i −1.54791 0.0289134i
\(281\) 11.6272i 0.693622i 0.937935 + 0.346811i \(0.112735\pi\)
−0.937935 + 0.346811i \(0.887265\pi\)
\(282\) −4.36449 + 9.52839i −0.259901 + 0.567408i
\(283\) 1.40991 0.814013i 0.0838106 0.0483881i −0.457509 0.889205i \(-0.651258\pi\)
0.541320 + 0.840817i \(0.317925\pi\)
\(284\) 5.28506 3.05133i 0.313610 0.181063i
\(285\) 5.64345 + 7.94409i 0.334289 + 0.470567i
\(286\) −10.3415 + 6.53556i −0.611505 + 0.386456i
\(287\) −11.1767 + 6.17750i −0.659741 + 0.364646i
\(288\) 15.9303 + 5.55385i 0.938699 + 0.327264i
\(289\) −16.9738 −0.998456
\(290\) 28.8567 1.69453
\(291\) 5.80954 12.6832i 0.340561 0.743501i
\(292\) 10.5199 + 6.07365i 0.615629 + 0.355434i
\(293\) −2.80580 4.85979i −0.163917 0.283912i 0.772353 0.635193i \(-0.219079\pi\)
−0.936270 + 0.351281i \(0.885746\pi\)
\(294\) −4.82099 + 9.56450i −0.281166 + 0.557813i
\(295\) 15.3494 + 26.5859i 0.893674 + 1.54789i
\(296\) 11.3329i 0.658714i
\(297\) −14.3969 13.8209i −0.835394 0.801969i
\(298\) −1.32800 + 2.30016i −0.0769287 + 0.133244i
\(299\) −16.3705 + 0.655176i −0.946730 + 0.0378898i
\(300\) 1.35949 + 14.4093i 0.0784903 + 0.831918i
\(301\) 0.427815 22.9036i 0.0246589 1.32014i
\(302\) 2.75407 + 1.59006i 0.158479 + 0.0914979i
\(303\) −8.02966 3.67799i −0.461292 0.211295i
\(304\) 0.103969 + 0.0600263i 0.00596301 + 0.00344275i
\(305\) 22.4016i 1.28271i
\(306\) −0.405394 0.141335i −0.0231749 0.00807957i
\(307\) 8.81390i 0.503036i 0.967853 + 0.251518i \(0.0809297\pi\)
−0.967853 + 0.251518i \(0.919070\pi\)
\(308\) −12.3908 0.231448i −0.706034 0.0131880i
\(309\) −0.830017 + 1.81206i −0.0472180 + 0.103085i
\(310\) 0.490710 0.0278704
\(311\) 11.9788 20.7478i 0.679254 1.17650i −0.295952 0.955203i \(-0.595637\pi\)
0.975206 0.221299i \(-0.0710297\pi\)
\(312\) −14.0573 + 10.8575i −0.795838 + 0.614687i
\(313\) 5.88550 3.39799i 0.332668 0.192066i −0.324357 0.945935i \(-0.605148\pi\)
0.657025 + 0.753869i \(0.271815\pi\)
\(314\) −2.13213 + 3.69295i −0.120323 + 0.208405i
\(315\) 25.6294 + 9.47573i 1.44405 + 0.533897i
\(316\) −6.38200 11.0540i −0.359016 0.621833i
\(317\) 6.84769 3.95352i 0.384605 0.222052i −0.295215 0.955431i \(-0.595391\pi\)
0.679820 + 0.733379i \(0.262058\pi\)
\(318\) −1.87014 19.8216i −0.104872 1.11154i
\(319\) 36.4427 2.04040
\(320\) 8.80422 + 15.2494i 0.492171 + 0.852465i
\(321\) −19.1893 27.0122i −1.07104 1.50767i
\(322\) 9.09697 + 5.48117i 0.506954 + 0.305454i
\(323\) 0.229269 + 0.132369i 0.0127569 + 0.00736518i
\(324\) −8.59715 6.82397i −0.477619 0.379109i
\(325\) −21.8711 11.4865i −1.21319 0.637159i
\(326\) 6.44854 + 3.72307i 0.357151 + 0.206202i
\(327\) 3.22020 + 34.1308i 0.178077 + 1.88744i
\(328\) 11.8890 + 6.86413i 0.656461 + 0.379008i
\(329\) 0.338438 18.1187i 0.0186587 0.998916i
\(330\) −1.90039 20.1422i −0.104613 1.10879i
\(331\) 4.41316 7.64382i 0.242569 0.420143i −0.718876 0.695138i \(-0.755343\pi\)
0.961445 + 0.274996i \(0.0886764\pi\)
\(332\) −1.27925 −0.0702078
\(333\) −3.93517 + 11.2874i −0.215646 + 0.618543i
\(334\) −1.09171 0.630298i −0.0597356 0.0344884i
\(335\) 1.62743 2.81879i 0.0889161 0.154007i
\(336\) 0.335685 0.0253565i 0.0183131 0.00138331i
\(337\) −11.5765 −0.630611 −0.315306 0.948990i \(-0.602107\pi\)
−0.315306 + 0.948990i \(0.602107\pi\)
\(338\) −0.917779 11.4476i −0.0499206 0.622670i
\(339\) −0.511346 + 1.11635i −0.0277725 + 0.0606320i
\(340\) 0.340072 + 0.589022i 0.0184430 + 0.0319442i
\(341\) 0.619710 0.0335592
\(342\) −2.82887 3.27963i −0.152968 0.177342i
\(343\) 1.03715 18.4912i 0.0560010 0.998431i
\(344\) −21.3268 + 12.3130i −1.14986 + 0.663873i
\(345\) 11.2835 24.6337i 0.607481 1.32623i
\(346\) −12.7833 7.38045i −0.687235 0.396776i
\(347\) 18.6275i 0.999976i −0.866032 0.499988i \(-0.833338\pi\)
0.866032 0.499988i \(-0.166662\pi\)
\(348\) 19.9545 1.88268i 1.06967 0.100922i
\(349\) 9.48259 + 5.47477i 0.507591 + 0.293058i 0.731843 0.681473i \(-0.238660\pi\)
−0.224252 + 0.974531i \(0.571994\pi\)
\(350\) 7.74674 + 14.0159i 0.414081 + 0.749181i
\(351\) 17.7708 5.93270i 0.948538 0.316664i
\(352\) 10.7993 + 18.7050i 0.575607 + 0.996980i
\(353\) −11.4363 19.8082i −0.608691 1.05428i −0.991457 0.130438i \(-0.958362\pi\)
0.382766 0.923845i \(-0.374972\pi\)
\(354\) −7.90199 11.1234i −0.419986 0.591200i
\(355\) −14.9186 8.61326i −0.791798 0.457145i
\(356\) −8.40132 −0.445269
\(357\) 0.740245 0.0559155i 0.0391779 0.00295936i
\(358\) 4.86104 + 8.41956i 0.256914 + 0.444988i
\(359\) 29.3954 16.9714i 1.55143 0.895719i 0.553404 0.832913i \(-0.313328\pi\)
0.998026 0.0628057i \(-0.0200048\pi\)
\(360\) −5.49402 28.8564i −0.289560 1.52086i
\(361\) −8.16464 14.1416i −0.429718 0.744293i
\(362\) 2.49212 0.130983
\(363\) −0.610334 6.46893i −0.0320342 0.339531i
\(364\) 5.60088 10.1971i 0.293566 0.534475i
\(365\) 34.2893i 1.79478i
\(366\) −0.935247 9.91267i −0.0488861 0.518144i
\(367\) −24.4916 + 14.1402i −1.27845 + 0.738115i −0.976564 0.215228i \(-0.930950\pi\)
−0.301889 + 0.953343i \(0.597617\pi\)
\(368\) 0.333807i 0.0174009i
\(369\) −9.45774 10.9648i −0.492350 0.570803i
\(370\) −10.4945 + 6.05903i −0.545585 + 0.314994i
\(371\) 16.6532 + 30.1301i 0.864593 + 1.56428i
\(372\) 0.339327 0.0320150i 0.0175933 0.00165990i
\(373\) −2.11110 + 3.65653i −0.109309 + 0.189328i −0.915490 0.402340i \(-0.868197\pi\)
0.806182 + 0.591668i \(0.201530\pi\)
\(374\) −0.274822 0.476006i −0.0142107 0.0246137i
\(375\) 9.00093 6.39422i 0.464806 0.330196i
\(376\) −16.8713 + 9.74063i −0.870069 + 0.502335i
\(377\) −15.9070 + 30.2879i −0.819253 + 1.55991i
\(378\) −11.7365 3.12299i −0.603662 0.160629i
\(379\) 16.6762 28.8840i 0.856599 1.48367i −0.0185539 0.999828i \(-0.505906\pi\)
0.875153 0.483846i \(-0.160760\pi\)
\(380\) 6.86141i 0.351983i
\(381\) −1.09094 11.5629i −0.0558905 0.592383i
\(382\) 1.12183 1.94307i 0.0573978 0.0994159i
\(383\) −8.93585 + 15.4774i −0.456601 + 0.790856i −0.998779 0.0494080i \(-0.984267\pi\)
0.542178 + 0.840264i \(0.317600\pi\)
\(384\) 6.74939 + 9.50089i 0.344428 + 0.484840i
\(385\) 16.9226 + 30.6174i 0.862454 + 1.56041i
\(386\) 8.19752 4.73284i 0.417243 0.240895i
\(387\) 25.5164 4.85813i 1.29707 0.246952i
\(388\) 8.50682 4.91141i 0.431868 0.249339i
\(389\) −21.4374 12.3769i −1.08692 0.627533i −0.154165 0.988045i \(-0.549269\pi\)
−0.932755 + 0.360512i \(0.882602\pi\)
\(390\) 17.5699 + 7.21250i 0.889685 + 0.365219i
\(391\) 0.736103i 0.0372263i
\(392\) −17.6019 + 9.30392i −0.889030 + 0.469919i
\(393\) 15.9989 + 7.32831i 0.807038 + 0.369664i
\(394\) 2.19676 3.80491i 0.110671 0.191688i
\(395\) −18.0151 + 31.2030i −0.906436 + 1.56999i
\(396\) −2.62824 13.8044i −0.132074 0.693696i
\(397\) −19.5919 11.3114i −0.983292 0.567704i −0.0800293 0.996793i \(-0.525501\pi\)
−0.903262 + 0.429089i \(0.858835\pi\)
\(398\) −8.67676 −0.434927
\(399\) 6.74928 + 3.24535i 0.337886 + 0.162471i
\(400\) 0.251665 0.435896i 0.0125832 0.0217948i
\(401\) 24.4083i 1.21889i 0.792827 + 0.609446i \(0.208608\pi\)
−0.792827 + 0.609446i \(0.791392\pi\)
\(402\) −0.602452 + 1.31525i −0.0300476 + 0.0655989i
\(403\) −0.270499 + 0.515047i −0.0134745 + 0.0256563i
\(404\) −3.10939 5.38563i −0.154698 0.267945i
\(405\) −4.54796 + 30.6480i −0.225990 + 1.52291i
\(406\) 19.4098 10.7280i 0.963291 0.532421i
\(407\) −13.2534 + 7.65185i −0.656947 + 0.379288i
\(408\) −0.462174 0.650587i −0.0228810 0.0322089i
\(409\) 31.7712i 1.57098i 0.618872 + 0.785492i \(0.287590\pi\)
−0.618872 + 0.785492i \(0.712410\pi\)
\(410\) 14.6793i 0.724959i
\(411\) 9.26014 + 13.0352i 0.456769 + 0.642979i
\(412\) −1.21538 + 0.701701i −0.0598775 + 0.0345703i
\(413\) 20.2081 + 12.1759i 0.994377 + 0.599139i
\(414\) −3.96447 + 11.3714i −0.194843 + 0.558874i
\(415\) 1.80552 + 3.12726i 0.0886297 + 0.153511i
\(416\) −20.2598 + 0.810831i −0.993316 + 0.0397542i
\(417\) 7.43110 16.2233i 0.363903 0.794460i
\(418\) 5.54491i 0.271211i
\(419\) 9.86318 17.0835i 0.481848 0.834585i −0.517935 0.855420i \(-0.673299\pi\)
0.999783 + 0.0208352i \(0.00663253\pi\)
\(420\) 10.8478 + 15.8906i 0.529319 + 0.775380i
\(421\) −14.3999 −0.701807 −0.350903 0.936412i \(-0.614125\pi\)
−0.350903 + 0.936412i \(0.614125\pi\)
\(422\) 12.0839 + 6.97663i 0.588234 + 0.339617i
\(423\) 20.1857 3.84319i 0.981460 0.186862i
\(424\) 18.5043 32.0503i 0.898646 1.55650i
\(425\) 0.554965 0.961228i 0.0269198 0.0466264i
\(426\) 6.96105 + 3.18851i 0.337264 + 0.154484i
\(427\) 8.32820 + 15.0679i 0.403030 + 0.729187i
\(428\) 23.3308i 1.12773i
\(429\) 22.1887 + 9.10855i 1.07128 + 0.439765i
\(430\) 22.8042 + 13.1660i 1.09972 + 0.634921i
\(431\) −4.36109 + 2.51788i −0.210066 + 0.121282i −0.601342 0.798992i \(-0.705367\pi\)
0.391276 + 0.920273i \(0.372034\pi\)
\(432\) 0.106300 + 0.366616i 0.00511436 + 0.0176388i
\(433\) −27.2316 + 15.7222i −1.30867 + 0.755561i −0.981874 0.189535i \(-0.939302\pi\)
−0.326795 + 0.945095i \(0.605969\pi\)
\(434\) 0.330064 0.182430i 0.0158436 0.00875691i
\(435\) −32.7661 46.1237i −1.57101 2.21146i
\(436\) −12.0696 + 20.9051i −0.578027 + 1.00117i
\(437\) 3.71297 6.43105i 0.177615 0.307639i
\(438\) 1.43155 + 15.1729i 0.0684019 + 0.724991i
\(439\) 8.15183i 0.389066i 0.980896 + 0.194533i \(0.0623191\pi\)
−0.980896 + 0.194533i \(0.937681\pi\)
\(440\) 18.8035 32.5687i 0.896423 1.55265i
\(441\) 20.7617 3.15454i 0.988653 0.150216i
\(442\) 0.515572 0.0206341i 0.0245233 0.000981463i
\(443\) 18.0400 10.4154i 0.857106 0.494850i −0.00593636 0.999982i \(-0.501890\pi\)
0.863042 + 0.505132i \(0.168556\pi\)
\(444\) −6.86169 + 4.87452i −0.325642 + 0.231334i
\(445\) 11.8576 + 20.5379i 0.562104 + 0.973592i
\(446\) −0.394196 + 0.682768i −0.0186657 + 0.0323300i
\(447\) 5.18440 0.489141i 0.245214 0.0231356i
\(448\) 11.5912 + 6.98398i 0.547631 + 0.329962i
\(449\) −2.96108 + 1.70958i −0.139742 + 0.0806801i −0.568241 0.822862i \(-0.692376\pi\)
0.428499 + 0.903542i \(0.359043\pi\)
\(450\) −13.7501 + 11.8603i −0.648186 + 0.559098i
\(451\) 18.5383i 0.872933i
\(452\) −0.748757 + 0.432295i −0.0352186 + 0.0203334i
\(453\) −0.585669 6.20750i −0.0275171 0.291654i
\(454\) 2.49208i 0.116959i
\(455\) −32.8330 + 0.700225i −1.53924 + 0.0328271i
\(456\) −0.756221 8.01518i −0.0354133 0.375345i
\(457\) 32.5714 1.52362 0.761812 0.647798i \(-0.224310\pi\)
0.761812 + 0.647798i \(0.224310\pi\)
\(458\) −7.69379 13.3260i −0.359507 0.622685i
\(459\) 0.234410 + 0.808452i 0.0109413 + 0.0377353i
\(460\) 16.5222 9.53910i 0.770352 0.444763i
\(461\) −17.7020 30.6608i −0.824467 1.42802i −0.902326 0.431054i \(-0.858142\pi\)
0.0778597 0.996964i \(-0.475191\pi\)
\(462\) −8.76645 12.8416i −0.407852 0.597447i
\(463\) 17.8630 0.830164 0.415082 0.909784i \(-0.363753\pi\)
0.415082 + 0.909784i \(0.363753\pi\)
\(464\) −0.603646 0.348515i −0.0280236 0.0161794i
\(465\) −0.557188 0.784335i −0.0258390 0.0363727i
\(466\) −9.10683 15.7735i −0.421866 0.730693i
\(467\) −20.0513 34.7299i −0.927864 1.60711i −0.786888 0.617095i \(-0.788309\pi\)
−0.140976 0.990013i \(-0.545024\pi\)
\(468\) 12.6202 + 3.84116i 0.583367 + 0.177558i
\(469\) 0.0467164 2.50102i 0.00215716 0.115486i
\(470\) 18.0400 + 10.4154i 0.832125 + 0.480428i
\(471\) 8.32368 0.785328i 0.383535 0.0361860i
\(472\) 25.3626i 1.16741i
\(473\) 28.7991 + 16.6271i 1.32418 + 0.764517i
\(474\) 6.66892 14.5594i 0.306314 0.668734i
\(475\) 9.69704 5.59859i 0.444930 0.256881i
\(476\) 0.447720 + 0.269763i 0.0205212 + 0.0123646i
\(477\) −29.5587 + 25.4961i −1.35340 + 1.16739i
\(478\) −15.5158 −0.709675
\(479\) 12.9793 + 22.4808i 0.593039 + 1.02717i 0.993820 + 0.111000i \(0.0354052\pi\)
−0.400782 + 0.916174i \(0.631261\pi\)
\(480\) 13.9642 30.4861i 0.637374 1.39149i
\(481\) −0.574513 14.3550i −0.0261955 0.654533i
\(482\) −1.74278 −0.0793813
\(483\) −1.56844 20.7640i −0.0713667 0.944797i
\(484\) 2.28758 3.96221i 0.103981 0.180100i
\(485\) −24.0130 13.8639i −1.09037 0.629527i
\(486\) 0.732936 13.7515i 0.0332467 0.623782i
\(487\) −25.7565 −1.16714 −0.583570 0.812063i \(-0.698345\pi\)
−0.583570 + 0.812063i \(0.698345\pi\)
\(488\) 9.25388 16.0282i 0.418904 0.725562i
\(489\) −1.37132 14.5346i −0.0620132 0.657277i
\(490\) 18.0263 + 11.3255i 0.814344 + 0.511634i
\(491\) 3.64975 + 2.10719i 0.164711 + 0.0950959i 0.580090 0.814553i \(-0.303018\pi\)
−0.415379 + 0.909649i \(0.636351\pi\)
\(492\) −0.957711 10.1508i −0.0431769 0.457632i
\(493\) −1.33115 0.768537i −0.0599518 0.0346132i
\(494\) 4.60843 + 2.42032i 0.207343 + 0.108895i
\(495\) −30.0368 + 25.9085i −1.35005 + 1.16450i
\(496\) −0.0102650 0.00592651i −0.000460913 0.000266108i
\(497\) −13.2368 0.247249i −0.593750 0.0110906i
\(498\) −0.929500 1.30843i −0.0416519 0.0586320i
\(499\) 4.79919 + 8.31244i 0.214841 + 0.372116i 0.953223 0.302266i \(-0.0977432\pi\)
−0.738382 + 0.674383i \(0.764410\pi\)
\(500\) 7.77422 0.347674
\(501\) 0.232158 + 2.46064i 0.0103721 + 0.109933i
\(502\) −0.830158 + 0.479292i −0.0370518 + 0.0213918i
\(503\) 2.79256 + 4.83685i 0.124514 + 0.215664i 0.921543 0.388277i \(-0.126930\pi\)
−0.797029 + 0.603941i \(0.793596\pi\)
\(504\) −14.4233 17.3670i −0.642463 0.773589i
\(505\) −8.77717 + 15.2025i −0.390579 + 0.676502i
\(506\) −13.3521 + 7.70883i −0.593573 + 0.342699i
\(507\) −17.2554 + 14.4655i −0.766341 + 0.642434i
\(508\) 4.08893 7.08223i 0.181417 0.314223i
\(509\) 32.6652 1.44786 0.723929 0.689875i \(-0.242334\pi\)
0.723929 + 0.689875i \(0.242334\pi\)
\(510\) −0.355361 + 0.775812i −0.0157357 + 0.0343535i
\(511\) −12.7476 23.0638i −0.563922 1.02028i
\(512\) 0.830992i 0.0367250i
\(513\) −2.02995 + 8.24552i −0.0896246 + 0.364049i
\(514\) 12.3450i 0.544515i
\(515\) 3.43077 + 1.98075i 0.151178 + 0.0872825i
\(516\) 16.6281 + 7.61652i 0.732013 + 0.335299i
\(517\) 22.7825 + 13.1535i 1.00197 + 0.578489i
\(518\) −4.80635 + 7.97698i −0.211179 + 0.350488i
\(519\) 2.71845 + 28.8128i 0.119327 + 1.26474i
\(520\) 18.8605 + 29.8438i 0.827090 + 1.30874i
\(521\) −11.5944 + 20.0821i −0.507961 + 0.879815i 0.491996 + 0.870597i \(0.336267\pi\)
−0.999958 + 0.00921756i \(0.997066\pi\)
\(522\) 16.4245 + 19.0417i 0.718883 + 0.833432i
\(523\) 25.6088i 1.11979i 0.828562 + 0.559897i \(0.189159\pi\)
−0.828562 + 0.559897i \(0.810841\pi\)
\(524\) 6.19539 + 10.7307i 0.270647 + 0.468774i
\(525\) 13.6064 28.2969i 0.593830 1.23498i
\(526\) −2.76039 4.78114i −0.120359 0.208468i
\(527\) −0.0226362 0.0130690i −0.000986047 0.000569295i
\(528\) −0.203512 + 0.444301i −0.00885673 + 0.0193357i
\(529\) 2.35213 0.102266
\(530\) −39.5723 −1.71891
\(531\) −8.80673 + 25.2606i −0.382180 + 1.09622i
\(532\) 2.55085 + 4.61516i 0.110593 + 0.200093i
\(533\) 15.4073 + 8.09183i 0.667366 + 0.350496i
\(534\) −6.10439 8.59295i −0.264163 0.371853i
\(535\) −57.0346 + 32.9289i −2.46582 + 1.42364i
\(536\) −2.32883 + 1.34455i −0.100590 + 0.0580757i
\(537\) 7.93798 17.3299i 0.342549 0.747842i
\(538\) 8.87275i 0.382531i
\(539\) 22.7651 + 14.3028i 0.980562 + 0.616065i
\(540\) −15.1084 + 15.7381i −0.650163 + 0.677260i
\(541\) −20.3485 35.2447i −0.874851 1.51529i −0.856921 0.515448i \(-0.827626\pi\)
−0.0179303 0.999839i \(-0.505708\pi\)
\(542\) 13.5530 0.582150
\(543\) −2.82974 3.98333i −0.121436 0.170941i
\(544\) 0.910985i 0.0390582i
\(545\) 68.1397 2.91878
\(546\) 14.4993 1.68060i 0.620513 0.0719229i
\(547\) −24.1727 −1.03355 −0.516776 0.856121i \(-0.672868\pi\)
−0.516776 + 0.856121i \(0.672868\pi\)
\(548\) 11.2587i 0.480946i
\(549\) −14.7822 + 12.7505i −0.630887 + 0.544176i
\(550\) −23.2475 −0.991275
\(551\) −7.75314 13.4288i −0.330295 0.572088i
\(552\) −18.2491 + 12.9641i −0.776734 + 0.551789i
\(553\) −0.517133 + 27.6853i −0.0219907 + 1.17730i
\(554\) 8.34887i 0.354709i
\(555\) 21.6009 + 9.89428i 0.916905 + 0.419989i
\(556\) 10.8813 6.28230i 0.461468 0.266429i
\(557\) −5.80067 + 3.34902i −0.245782 + 0.141903i −0.617832 0.786310i \(-0.711989\pi\)
0.372049 + 0.928213i \(0.378655\pi\)
\(558\) 0.279300 + 0.323804i 0.0118237 + 0.0137077i
\(559\) −26.3896 + 16.6776i −1.11616 + 0.705386i
\(560\) 0.0124961 0.668991i 0.000528055 0.0282700i
\(561\) −0.448780 + 0.979761i −0.0189475 + 0.0413655i
\(562\) −10.2716 −0.433283
\(563\) −12.0846 −0.509306 −0.254653 0.967033i \(-0.581961\pi\)
−0.254653 + 0.967033i \(0.581961\pi\)
\(564\) 13.1543 + 6.02532i 0.553894 + 0.253712i
\(565\) 2.11358 + 1.22028i 0.0889191 + 0.0513375i
\(566\) 0.719110 + 1.24554i 0.0302265 + 0.0523538i
\(567\) 8.33485 + 22.3054i 0.350031 + 0.936738i
\(568\) 7.11610 + 12.3254i 0.298585 + 0.517164i
\(569\) 11.7276i 0.491646i 0.969315 + 0.245823i \(0.0790582\pi\)
−0.969315 + 0.245823i \(0.920942\pi\)
\(570\) −7.01791 + 4.98550i −0.293948 + 0.208819i
\(571\) −15.1381 + 26.2200i −0.633511 + 1.09727i 0.353318 + 0.935503i \(0.385053\pi\)
−0.986829 + 0.161770i \(0.948280\pi\)
\(572\) 9.02255 + 14.2768i 0.377252 + 0.596941i
\(573\) −4.37955 + 0.413204i −0.182958 + 0.0172619i
\(574\) −5.45728 9.87367i −0.227783 0.412119i
\(575\) −26.9627 15.5669i −1.12442 0.649185i
\(576\) −5.05145 + 14.4892i −0.210477 + 0.603717i
\(577\) −27.0888 15.6397i −1.12772 0.651089i −0.184359 0.982859i \(-0.559021\pi\)
−0.943360 + 0.331770i \(0.892354\pi\)
\(578\) 14.9948i 0.623703i
\(579\) −16.8729 7.72865i −0.701214 0.321192i
\(580\) 39.8377i 1.65417i
\(581\) 2.37705 + 1.43224i 0.0986168 + 0.0594193i
\(582\) 11.2045 + 5.13222i 0.464441 + 0.212737i
\(583\) −49.9753 −2.06976
\(584\) −14.1645 + 24.5337i −0.586133 + 1.01521i
\(585\) −8.42192 36.2728i −0.348203 1.49969i
\(586\) 4.29320 2.47868i 0.177351 0.102393i
\(587\) 0.348443 0.603522i 0.0143818 0.0249100i −0.858745 0.512403i \(-0.828755\pi\)
0.873127 + 0.487493i \(0.162089\pi\)
\(588\) 13.2041 + 6.65553i 0.544528 + 0.274469i
\(589\) −0.131842 0.228358i −0.00543247 0.00940931i
\(590\) −23.4863 + 13.5598i −0.966916 + 0.558249i
\(591\) −8.57602 + 0.809135i −0.352770 + 0.0332834i
\(592\) 0.292710 0.0120303
\(593\) −14.0745 24.3778i −0.577972 1.00108i −0.995712 0.0925098i \(-0.970511\pi\)
0.417740 0.908567i \(-0.362822\pi\)
\(594\) 12.2096 12.7184i 0.500964 0.521844i
\(595\) 0.0275560 1.47524i 0.00112969 0.0604791i
\(596\) 3.17544 + 1.83334i 0.130071 + 0.0750966i
\(597\) 9.85224 + 13.8687i 0.403225 + 0.567607i
\(598\) −0.578791 14.4619i −0.0236685 0.591392i
\(599\) 5.29808 + 3.05885i 0.216474 + 0.124981i 0.604316 0.796744i \(-0.293446\pi\)
−0.387843 + 0.921726i \(0.626780\pi\)
\(600\) −33.6042 + 3.17051i −1.37189 + 0.129436i
\(601\) 4.63482 + 2.67591i 0.189058 + 0.109153i 0.591542 0.806275i \(-0.298520\pi\)
−0.402483 + 0.915427i \(0.631853\pi\)
\(602\) 20.2334 + 0.377938i 0.824650 + 0.0154036i
\(603\) 2.78633 0.530495i 0.113468 0.0216034i
\(604\) 2.19514 3.80209i 0.0893188 0.154705i
\(605\) −12.9147 −0.525058
\(606\) 3.24919 7.09351i 0.131989 0.288154i
\(607\) 18.8484 + 10.8822i 0.765035 + 0.441693i 0.831101 0.556122i \(-0.187711\pi\)
−0.0660657 + 0.997815i \(0.521045\pi\)
\(608\) 4.59509 7.95893i 0.186355 0.322777i
\(609\) −39.1866 18.8426i −1.58792 0.763542i
\(610\) −19.7899 −0.801270
\(611\) −20.8764 + 13.1934i −0.844569 + 0.533746i
\(612\) −0.195117 + 0.559660i −0.00788715 + 0.0226229i
\(613\) 10.3604 + 17.9448i 0.418454 + 0.724783i 0.995784 0.0917273i \(-0.0292388\pi\)
−0.577330 + 0.816511i \(0.695905\pi\)
\(614\) −7.78632 −0.314230
\(615\) −23.4629 + 16.6680i −0.946117 + 0.672118i
\(616\) 0.539767 28.8971i 0.0217478 1.16430i
\(617\) 23.0797 13.3251i 0.929153 0.536447i 0.0426095 0.999092i \(-0.486433\pi\)
0.886544 + 0.462645i \(0.153100\pi\)
\(618\) −1.60080 0.733248i −0.0643937 0.0294956i
\(619\) 29.5414 + 17.0557i 1.18737 + 0.685527i 0.957707 0.287744i \(-0.0929052\pi\)
0.229660 + 0.973271i \(0.426239\pi\)
\(620\) 0.677440i 0.0272067i
\(621\) 22.6773 6.57525i 0.910008 0.263856i
\(622\) 18.3289 + 10.5822i 0.734923 + 0.424308i
\(623\) 15.6110 + 9.40608i 0.625443 + 0.376847i
\(624\) −0.280431 0.363075i −0.0112262 0.0145346i
\(625\) 6.15661 + 10.6636i 0.246264 + 0.426542i
\(626\) 3.00183 + 5.19933i 0.119977 + 0.207807i
\(627\) −8.86282 + 6.29611i −0.353947 + 0.251442i
\(628\) 5.09824 + 2.94347i 0.203442 + 0.117457i
\(629\) 0.645477 0.0257368
\(630\) −8.37099 + 22.6413i −0.333508 + 0.902052i
\(631\) −2.85221 4.94018i −0.113545 0.196665i 0.803652 0.595099i \(-0.202887\pi\)
−0.917197 + 0.398434i \(0.869554\pi\)
\(632\) 25.7793 14.8837i 1.02544 0.592040i
\(633\) −2.56971 27.2363i −0.102137 1.08254i
\(634\) 3.49259 + 6.04934i 0.138708 + 0.240250i
\(635\) −23.0844 −0.916075
\(636\) −27.3643 + 2.58179i −1.08507 + 0.102375i
\(637\) −21.8240 + 12.6772i −0.864699 + 0.502290i
\(638\) 32.1940i 1.27457i
\(639\) −2.80767 14.7468i −0.111070 0.583374i
\(640\) 20.0606 11.5820i 0.792963 0.457817i
\(641\) 2.73353i 0.107968i −0.998542 0.0539839i \(-0.982808\pi\)
0.998542 0.0539839i \(-0.0171920\pi\)
\(642\) 23.8629 16.9521i 0.941794 0.669046i
\(643\) −1.97815 + 1.14209i −0.0780108 + 0.0450395i −0.538498 0.842627i \(-0.681008\pi\)
0.460487 + 0.887666i \(0.347675\pi\)
\(644\) 7.56693 12.5587i 0.298179 0.494880i
\(645\) −4.84944 51.3992i −0.190947 2.02384i
\(646\) −0.116936 + 0.202539i −0.00460079 + 0.00796880i
\(647\) −17.1874 29.7695i −0.675707 1.17036i −0.976262 0.216595i \(-0.930505\pi\)
0.300554 0.953765i \(-0.402828\pi\)
\(648\) 15.9144 20.0497i 0.625176 0.787625i
\(649\) −29.6605 + 17.1245i −1.16428 + 0.672196i
\(650\) 10.1474 19.3212i 0.398012 0.757840i
\(651\) −0.666369 0.320419i −0.0261171 0.0125582i
\(652\) 5.13981 8.90242i 0.201291 0.348645i
\(653\) 4.40548i 0.172400i 0.996278 + 0.0861998i \(0.0274723\pi\)
−0.996278 + 0.0861998i \(0.972528\pi\)
\(654\) −30.1516 + 2.84477i −1.17902 + 0.111239i
\(655\) 17.4883 30.2906i 0.683324 1.18355i
\(656\) −0.177288 + 0.307072i −0.00692195 + 0.0119892i
\(657\) 22.6265 19.5166i 0.882743 0.761416i
\(658\) 16.0063 + 0.298981i 0.623991 + 0.0116555i
\(659\) 40.5474 23.4100i 1.57950 0.911926i 0.584573 0.811341i \(-0.301262\pi\)
0.994928 0.100585i \(-0.0320714\pi\)
\(660\) −27.8069 + 2.62354i −1.08238 + 0.102121i
\(661\) 23.3517 13.4821i 0.908276 0.524393i 0.0284000 0.999597i \(-0.490959\pi\)
0.879876 + 0.475203i \(0.157625\pi\)
\(662\) 6.75266 + 3.89865i 0.262449 + 0.151525i
\(663\) −0.618400 0.800645i −0.0240167 0.0310945i
\(664\) 2.98337i 0.115777i
\(665\) 7.68200 12.7496i 0.297895 0.494410i
\(666\) −9.97140 3.47638i −0.386384 0.134707i
\(667\) −21.5577 + 37.3390i −0.834716 + 1.44577i
\(668\) −0.870147 + 1.50714i −0.0336670 + 0.0583129i
\(669\) 1.53892 0.145195i 0.0594979 0.00561354i
\(670\) 2.49016 + 1.43769i 0.0962033 + 0.0555430i
\(671\) −24.9924 −0.964820
\(672\) −1.94107 25.6971i −0.0748784 0.991288i
\(673\) −7.16313 + 12.4069i −0.276118 + 0.478251i −0.970417 0.241436i \(-0.922381\pi\)
0.694298 + 0.719687i \(0.255715\pi\)
\(674\) 10.2268i 0.393922i
\(675\) 34.5700 + 8.51073i 1.33060 + 0.327578i
\(676\) −15.8038 + 1.26702i −0.607840 + 0.0487317i
\(677\) 19.8879 + 34.4468i 0.764353 + 1.32390i 0.940588 + 0.339550i \(0.110275\pi\)
−0.176235 + 0.984348i \(0.556392\pi\)
\(678\) −0.986201 0.451730i −0.0378748 0.0173486i
\(679\) −21.3059 0.397971i −0.817644 0.0152727i
\(680\) −1.37368 + 0.793092i −0.0526781 + 0.0304137i
\(681\) −3.98326 + 2.82969i −0.152639 + 0.108434i
\(682\) 0.547460i 0.0209633i
\(683\) 24.9682i 0.955383i 0.878528 + 0.477692i \(0.158526\pi\)
−0.878528 + 0.477692i \(0.841474\pi\)
\(684\) −4.52764 + 3.90535i −0.173119 + 0.149325i
\(685\) 27.5230 15.8904i 1.05160 0.607142i
\(686\) 16.3354 + 0.916235i 0.623687 + 0.0349820i
\(687\) −12.5638 + 27.4289i −0.479340 + 1.04648i
\(688\) −0.318023 0.550832i −0.0121245 0.0210003i
\(689\) 21.8139 41.5350i 0.831043 1.58236i
\(690\) 21.7617 + 9.96796i 0.828454 + 0.379474i
\(691\) 22.9567i 0.873315i 0.899628 + 0.436657i \(0.143838\pi\)
−0.899628 + 0.436657i \(0.856162\pi\)
\(692\) −10.1890 + 17.6478i −0.387326 + 0.670868i
\(693\) −10.5716 + 28.5934i −0.401582 + 1.08617i
\(694\) 16.4558 0.624653
\(695\) −30.7155 17.7336i −1.16511 0.672674i
\(696\) 4.39065 + 46.5365i 0.166427 + 1.76396i
\(697\) −0.390952 + 0.677149i −0.0148084 + 0.0256488i
\(698\) −4.83649 + 8.37705i −0.183064 + 0.317076i
\(699\) −14.8713 + 32.4665i −0.562484 + 1.22800i
\(700\) 19.3494 10.6946i 0.731339 0.404219i
\(701\) 12.8742i 0.486253i 0.969995 + 0.243126i \(0.0781730\pi\)
−0.969995 + 0.243126i \(0.921827\pi\)
\(702\) 5.24103 + 15.6990i 0.197810 + 0.592521i
\(703\) 5.63928 + 3.25584i 0.212690 + 0.122796i
\(704\) −17.0129 + 9.82243i −0.641199 + 0.370197i
\(705\) −3.83632 40.6611i −0.144484 1.53139i
\(706\) 17.4988 10.1029i 0.658576 0.380229i
\(707\) −0.251954 + 13.4886i −0.00947569 + 0.507293i
\(708\) −15.3562 + 10.9090i −0.577120 + 0.409984i
\(709\) 18.6136 32.2398i 0.699050 1.21079i −0.269747 0.962931i \(-0.586940\pi\)
0.968796 0.247858i \(-0.0797268\pi\)
\(710\) 7.60907 13.1793i 0.285563 0.494610i
\(711\) −30.8436 + 5.87238i −1.15673 + 0.220231i
\(712\) 19.5930i 0.734278i
\(713\) −0.366589 + 0.634950i −0.0137289 + 0.0237791i
\(714\) 0.0493965 + 0.653942i 0.00184862 + 0.0244732i
\(715\) 22.1667 42.2067i 0.828987 1.57844i
\(716\) 11.6235 6.71082i 0.434390 0.250795i
\(717\) 17.6178 + 24.7999i 0.657947 + 0.926170i
\(718\) 14.9928 + 25.9683i 0.559526 + 0.969128i
\(719\) 23.9349 41.4564i 0.892619 1.54606i 0.0558957 0.998437i \(-0.482199\pi\)
0.836724 0.547625i \(-0.184468\pi\)
\(720\) 0.745309 0.141901i 0.0277760 0.00528833i
\(721\) 3.04400 + 0.0568587i 0.113364 + 0.00211753i
\(722\) 12.4929 7.21275i 0.464936 0.268431i
\(723\) 1.97888 + 2.78560i 0.0735953 + 0.103598i
\(724\) 3.44045i 0.127863i
\(725\) −56.3014 + 32.5056i −2.09098 + 1.20723i
\(726\) 5.71474 0.539177i 0.212094 0.0200108i
\(727\) 10.2075i 0.378574i −0.981922 0.189287i \(-0.939382\pi\)
0.981922 0.189287i \(-0.0606176\pi\)
\(728\) 23.7810 + 13.0620i 0.881384 + 0.484109i
\(729\) −22.8123 + 14.4430i −0.844899 + 0.534927i
\(730\) 30.2916 1.12114
\(731\) −0.701297 1.21468i −0.0259384 0.0449266i
\(732\) −13.6848 + 1.29114i −0.505804 + 0.0477219i
\(733\) 36.4929 21.0692i 1.34789 0.778208i 0.359944 0.932974i \(-0.382796\pi\)
0.987951 + 0.154766i \(0.0494625\pi\)
\(734\) −12.4917 21.6362i −0.461076 0.798608i
\(735\) −2.36606 41.6724i −0.0872733 1.53711i
\(736\) −25.5534 −0.941909
\(737\) 3.14478 + 1.81564i 0.115840 + 0.0668800i
\(738\) 9.68643 8.35510i 0.356562 0.307555i
\(739\) −3.56007 6.16622i −0.130959 0.226828i 0.793087 0.609108i \(-0.208472\pi\)
−0.924047 + 0.382280i \(0.875139\pi\)
\(740\) 8.36468 + 14.4881i 0.307492 + 0.532591i
\(741\) −1.36420 10.1142i −0.0501151 0.371554i
\(742\) −26.6173 + 14.7117i −0.977153 + 0.540083i
\(743\) −19.3136 11.1507i −0.708546 0.409079i 0.101976 0.994787i \(-0.467483\pi\)
−0.810522 + 0.585708i \(0.800817\pi\)
\(744\) 0.0746631 + 0.791354i 0.00273728 + 0.0290124i
\(745\) 10.3503i 0.379205i
\(746\) −3.23023 1.86497i −0.118267 0.0682815i
\(747\) −1.03592 + 2.97137i −0.0379025 + 0.108717i
\(748\) −0.657142 + 0.379401i −0.0240275 + 0.0138723i
\(749\) −26.1210 + 43.3524i −0.954440 + 1.58406i
\(750\) 5.64874 + 7.95154i 0.206263 + 0.290349i
\(751\) 23.5627 0.859815 0.429908 0.902873i \(-0.358546\pi\)
0.429908 + 0.902873i \(0.358546\pi\)
\(752\) −0.251583 0.435755i −0.00917430 0.0158903i
\(753\) 1.70871 + 0.782675i 0.0622688 + 0.0285223i
\(754\) −26.7568 14.0525i −0.974424 0.511761i
\(755\) −12.3928 −0.451021
\(756\) −4.31139 + 16.2027i −0.156804 + 0.589285i
\(757\) −3.94895 + 6.83979i −0.143527 + 0.248596i −0.928822 0.370525i \(-0.879178\pi\)
0.785295 + 0.619121i \(0.212511\pi\)
\(758\) 25.5166 + 14.7320i 0.926803 + 0.535090i
\(759\) 27.4825 + 12.5884i 0.997552 + 0.456930i
\(760\) −16.0017 −0.580443
\(761\) −21.4232 + 37.1060i −0.776590 + 1.34509i 0.157307 + 0.987550i \(0.449719\pi\)
−0.933897 + 0.357543i \(0.883615\pi\)
\(762\) 10.2148 0.963750i 0.370042 0.0349130i
\(763\) 45.8325 25.3321i 1.65925 0.917083i
\(764\) −2.68247 1.54872i −0.0970482 0.0560308i
\(765\) 1.64354 0.312916i 0.0594222 0.0113135i
\(766\) −13.6729 7.89405i −0.494022 0.285224i
\(767\) −1.28573 32.1259i −0.0464252 1.16000i
\(768\) −22.8377 + 16.2238i −0.824085 + 0.585427i
\(769\) 28.1847 + 16.2725i 1.01637 + 0.586800i 0.913050 0.407848i \(-0.133721\pi\)
0.103318 + 0.994648i \(0.467054\pi\)
\(770\) −27.0478 + 14.9496i −0.974736 + 0.538747i
\(771\) 19.7319 14.0174i 0.710627 0.504826i
\(772\) −6.53384 11.3169i −0.235158 0.407306i
\(773\) 45.7029 1.64382 0.821910 0.569618i \(-0.192909\pi\)