Properties

Label 273.2.r.b.68.11
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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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 68.11
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.22

$q$-expansion

\(f(q)\) \(=\) \(q-1.05456i q^{2} +(1.46610 - 0.922247i) q^{3} +0.887893 q^{4} +(-0.000964697 + 0.00167090i) q^{5} +(-0.972570 - 1.54610i) q^{6} +(-2.64511 + 0.0584461i) q^{7} -3.04547i q^{8} +(1.29892 - 2.70422i) q^{9} +O(q^{10})\) \(q-1.05456i q^{2} +(1.46610 - 0.922247i) q^{3} +0.887893 q^{4} +(-0.000964697 + 0.00167090i) q^{5} +(-0.972570 - 1.54610i) q^{6} +(-2.64511 + 0.0584461i) q^{7} -3.04547i q^{8} +(1.29892 - 2.70422i) q^{9} +(0.00176208 + 0.00101734i) q^{10} +(-2.16237 - 1.24844i) q^{11} +(1.30174 - 0.818857i) q^{12} +(0.922193 + 3.48562i) q^{13} +(0.0616352 + 2.78943i) q^{14} +(0.000126641 + 0.00333941i) q^{15} -1.43586 q^{16} +4.17524 q^{17} +(-2.85178 - 1.36979i) q^{18} +(4.64914 - 2.68418i) q^{19} +(-0.000856548 + 0.00148358i) q^{20} +(-3.82410 + 2.52513i) q^{21} +(-1.31657 + 2.28036i) q^{22} +4.87067i q^{23} +(-2.80868 - 4.46497i) q^{24} +(2.50000 + 4.33012i) q^{25} +(3.67581 - 0.972512i) q^{26} +(-0.589610 - 5.16259i) q^{27} +(-2.34857 + 0.0518939i) q^{28} +(-7.57023 + 4.37067i) q^{29} +(0.00352162 - 0.000133551i) q^{30} +(-6.57778 + 3.79768i) q^{31} -4.57673i q^{32} +(-4.32163 + 0.163891i) q^{33} -4.40306i q^{34} +(0.00245407 - 0.00447610i) q^{35} +(1.15330 - 2.40106i) q^{36} +3.65572 q^{37} +(-2.83065 - 4.90282i) q^{38} +(4.56664 + 4.25979i) q^{39} +(0.00508869 + 0.00293796i) q^{40} +(1.83038 + 3.17031i) q^{41} +(2.66291 + 4.03276i) q^{42} +(1.32938 - 2.30256i) q^{43} +(-1.91995 - 1.10849i) q^{44} +(0.00326543 + 0.00477912i) q^{45} +5.13644 q^{46} +(1.79190 - 3.10366i) q^{47} +(-2.10512 + 1.32422i) q^{48} +(6.99317 - 0.309192i) q^{49} +(4.56640 - 2.63641i) q^{50} +(6.12133 - 3.85060i) q^{51} +(0.818809 + 3.09486i) q^{52} +(-12.3735 + 7.14382i) q^{53} +(-5.44429 + 0.621782i) q^{54} +(0.00417206 - 0.00240874i) q^{55} +(0.177996 + 8.05559i) q^{56} +(4.34064 - 8.22295i) q^{57} +(4.60916 + 7.98330i) q^{58} -5.23130 q^{59} +(0.000112444 + 0.00296504i) q^{60} +(6.56379 - 3.78960i) q^{61} +(4.00490 + 6.93670i) q^{62} +(-3.27773 + 7.22887i) q^{63} -7.69818 q^{64} +(-0.00671378 - 0.00182167i) q^{65} +(0.172833 + 4.55744i) q^{66} +(-7.12713 + 12.3445i) q^{67} +3.70716 q^{68} +(4.49197 + 7.14091i) q^{69} +(-0.00472034 - 0.00258797i) q^{70} +(1.24050 + 0.716205i) q^{71} +(-8.23562 - 3.95582i) q^{72} +(1.61067 - 0.929921i) q^{73} -3.85519i q^{74} +(7.65870 + 4.04279i) q^{75} +(4.12794 - 2.38327i) q^{76} +(5.79266 + 3.17589i) q^{77} +(4.49223 - 4.81581i) q^{78} +(3.64483 - 6.31302i) q^{79} +(0.00138517 - 0.00239918i) q^{80} +(-5.62562 - 7.02513i) q^{81} +(3.34329 - 1.93025i) q^{82} +10.4089 q^{83} +(-3.39539 + 2.24205i) q^{84} +(-0.00402784 + 0.00697642i) q^{85} +(-2.42820 - 1.40192i) q^{86} +(-7.06790 + 13.3895i) q^{87} +(-3.80210 + 6.58543i) q^{88} -5.40380 q^{89} +(0.00503989 - 0.00344361i) q^{90} +(-2.64302 - 9.16594i) q^{91} +4.32464i q^{92} +(-6.14130 + 11.6341i) q^{93} +(-3.27301 - 1.88967i) q^{94} +0.0103577i q^{95} +(-4.22088 - 6.70997i) q^{96} +(2.07015 + 1.19520i) q^{97} +(-0.326063 - 7.37475i) q^{98} +(-6.18481 + 4.22589i) 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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.05456i 0.745690i −0.927894 0.372845i \(-0.878382\pi\)
0.927894 0.372845i \(-0.121618\pi\)
\(3\) 1.46610 0.922247i 0.846455 0.532460i
\(4\) 0.887893 0.443947
\(5\) −0.000964697 0.00167090i −0.000431425 0.000747251i −0.866241 0.499626i \(-0.833471\pi\)
0.865810 + 0.500374i \(0.166804\pi\)
\(6\) −0.972570 1.54610i −0.397050 0.631193i
\(7\) −2.64511 + 0.0584461i −0.999756 + 0.0220905i
\(8\) 3.04547i 1.07674i
\(9\) 1.29892 2.70422i 0.432973 0.901407i
\(10\) 0.00176208 + 0.00101734i 0.000557217 + 0.000321710i
\(11\) −2.16237 1.24844i −0.651979 0.376420i 0.137235 0.990539i \(-0.456178\pi\)
−0.789214 + 0.614118i \(0.789512\pi\)
\(12\) 1.30174 0.818857i 0.375781 0.236384i
\(13\) 0.922193 + 3.48562i 0.255770 + 0.966738i
\(14\) 0.0616352 + 2.78943i 0.0164727 + 0.745508i
\(15\) 0.000126641 0.00333941i 3.26987e−5 0.000862231i
\(16\) −1.43586 −0.358965
\(17\) 4.17524 1.01264 0.506322 0.862345i \(-0.331005\pi\)
0.506322 + 0.862345i \(0.331005\pi\)
\(18\) −2.85178 1.36979i −0.672170 0.322864i
\(19\) 4.64914 2.68418i 1.06659 0.615794i 0.139340 0.990245i \(-0.455502\pi\)
0.927247 + 0.374450i \(0.122169\pi\)
\(20\) −0.000856548 0.00148358i −0.000191530 0.000331740i
\(21\) −3.82410 + 2.52513i −0.834486 + 0.551029i
\(22\) −1.31657 + 2.28036i −0.280693 + 0.486174i
\(23\) 4.87067i 1.01561i 0.861473 + 0.507803i \(0.169542\pi\)
−0.861473 + 0.507803i \(0.830458\pi\)
\(24\) −2.80868 4.46497i −0.573319 0.911409i
\(25\) 2.50000 + 4.33012i 0.500000 + 0.866025i
\(26\) 3.67581 0.972512i 0.720886 0.190725i
\(27\) −0.589610 5.16259i −0.113470 0.993541i
\(28\) −2.34857 + 0.0518939i −0.443838 + 0.00980702i
\(29\) −7.57023 + 4.37067i −1.40576 + 0.811614i −0.994975 0.100120i \(-0.968077\pi\)
−0.410781 + 0.911734i \(0.634744\pi\)
\(30\) 0.00352162 0.000133551i 0.000642957 2.43831e-5i
\(31\) −6.57778 + 3.79768i −1.18140 + 0.682084i −0.956339 0.292260i \(-0.905593\pi\)
−0.225065 + 0.974344i \(0.572260\pi\)
\(32\) 4.57673i 0.809060i
\(33\) −4.32163 + 0.163891i −0.752300 + 0.0285297i
\(34\) 4.40306i 0.755118i
\(35\) 0.00245407 0.00447610i 0.000414813 0.000756599i
\(36\) 1.15330 2.40106i 0.192217 0.400177i
\(37\) 3.65572 0.600996 0.300498 0.953782i \(-0.402847\pi\)
0.300498 + 0.953782i \(0.402847\pi\)
\(38\) −2.83065 4.90282i −0.459191 0.795343i
\(39\) 4.56664 + 4.25979i 0.731247 + 0.682113i
\(40\) 0.00508869 + 0.00293796i 0.000804592 + 0.000464531i
\(41\) 1.83038 + 3.17031i 0.285857 + 0.495119i 0.972817 0.231577i \(-0.0743884\pi\)
−0.686960 + 0.726696i \(0.741055\pi\)
\(42\) 2.66291 + 4.03276i 0.410896 + 0.622268i
\(43\) 1.32938 2.30256i 0.202729 0.351137i −0.746678 0.665186i \(-0.768352\pi\)
0.949407 + 0.314049i \(0.101686\pi\)
\(44\) −1.91995 1.10849i −0.289444 0.167110i
\(45\) 0.00326543 + 0.00477912i 0.000486781 + 0.000712429i
\(46\) 5.13644 0.757327
\(47\) 1.79190 3.10366i 0.261375 0.452715i −0.705232 0.708976i \(-0.749157\pi\)
0.966608 + 0.256261i \(0.0824907\pi\)
\(48\) −2.10512 + 1.32422i −0.303848 + 0.191134i
\(49\) 6.99317 0.309192i 0.999024 0.0441703i
\(50\) 4.56640 2.63641i 0.645786 0.372845i
\(51\) 6.12133 3.85060i 0.857158 0.539192i
\(52\) 0.818809 + 3.09486i 0.113548 + 0.429180i
\(53\) −12.3735 + 7.14382i −1.69962 + 0.981279i −0.753516 + 0.657429i \(0.771644\pi\)
−0.946108 + 0.323850i \(0.895023\pi\)
\(54\) −5.44429 + 0.621782i −0.740874 + 0.0846138i
\(55\) 0.00417206 0.00240874i 0.000562561 0.000324795i
\(56\) 0.177996 + 8.05559i 0.0237857 + 1.07647i
\(57\) 4.34064 8.22295i 0.574932 1.08916i
\(58\) 4.60916 + 7.98330i 0.605212 + 1.04826i
\(59\) −5.23130 −0.681057 −0.340529 0.940234i \(-0.610606\pi\)
−0.340529 + 0.940234i \(0.610606\pi\)
\(60\) 0.000112444 0.00296504i 1.45165e−5 0.000382785i
\(61\) 6.56379 3.78960i 0.840407 0.485209i −0.0169958 0.999856i \(-0.505410\pi\)
0.857402 + 0.514647i \(0.172077\pi\)
\(62\) 4.00490 + 6.93670i 0.508623 + 0.880961i
\(63\) −3.27773 + 7.22887i −0.412955 + 0.910751i
\(64\) −7.69818 −0.962273
\(65\) −0.00671378 0.00182167i −0.000832741 0.000225951i
\(66\) 0.172833 + 4.55744i 0.0212743 + 0.560982i
\(67\) −7.12713 + 12.3445i −0.870717 + 1.50813i −0.00946155 + 0.999955i \(0.503012\pi\)
−0.861256 + 0.508172i \(0.830322\pi\)
\(68\) 3.70716 0.449560
\(69\) 4.49197 + 7.14091i 0.540769 + 0.859665i
\(70\) −0.00472034 0.00258797i −0.000564188 0.000309322i
\(71\) 1.24050 + 0.716205i 0.147221 + 0.0849979i 0.571801 0.820392i \(-0.306245\pi\)
−0.424580 + 0.905390i \(0.639578\pi\)
\(72\) −8.23562 3.95582i −0.970577 0.466198i
\(73\) 1.61067 0.929921i 0.188515 0.108839i −0.402772 0.915300i \(-0.631953\pi\)
0.591287 + 0.806461i \(0.298620\pi\)
\(74\) 3.85519i 0.448157i
\(75\) 7.65870 + 4.04279i 0.884351 + 0.466822i
\(76\) 4.12794 2.38327i 0.473508 0.273380i
\(77\) 5.79266 + 3.17589i 0.660135 + 0.361926i
\(78\) 4.49223 4.81581i 0.508644 0.545284i
\(79\) 3.64483 6.31302i 0.410075 0.710271i −0.584823 0.811161i \(-0.698836\pi\)
0.994898 + 0.100891i \(0.0321692\pi\)
\(80\) 0.00138517 0.00239918i 0.000154867 0.000268237i
\(81\) −5.62562 7.02513i −0.625069 0.780570i
\(82\) 3.34329 1.93025i 0.369205 0.213161i
\(83\) 10.4089 1.14253 0.571263 0.820767i \(-0.306454\pi\)
0.571263 + 0.820767i \(0.306454\pi\)
\(84\) −3.39539 + 2.24205i −0.370467 + 0.244627i
\(85\) −0.00402784 + 0.00697642i −0.000436880 + 0.000756699i
\(86\) −2.42820 1.40192i −0.261839 0.151173i
\(87\) −7.06790 + 13.3895i −0.757758 + 1.43550i
\(88\) −3.80210 + 6.58543i −0.405305 + 0.702009i
\(89\) −5.40380 −0.572801 −0.286401 0.958110i \(-0.592459\pi\)
−0.286401 + 0.958110i \(0.592459\pi\)
\(90\) 0.00503989 0.00344361i 0.000531251 0.000362988i
\(91\) −2.64302 9.16594i −0.277064 0.960852i
\(92\) 4.32464i 0.450875i
\(93\) −6.14130 + 11.6341i −0.636824 + 1.20640i
\(94\) −3.27301 1.88967i −0.337585 0.194905i
\(95\) 0.0103577i 0.00106268i
\(96\) −4.22088 6.70997i −0.430792 0.684833i
\(97\) 2.07015 + 1.19520i 0.210192 + 0.121354i 0.601401 0.798948i \(-0.294610\pi\)
−0.391209 + 0.920302i \(0.627943\pi\)
\(98\) −0.326063 7.37475i −0.0329373 0.744962i
\(99\) −6.18481 + 4.22589i −0.621597 + 0.424718i
\(100\) 2.21973 + 3.84469i 0.221973 + 0.384469i
\(101\) 9.02995 15.6403i 0.898514 1.55627i 0.0691187 0.997608i \(-0.477981\pi\)
0.829395 0.558663i \(-0.188685\pi\)
\(102\) −4.06071 6.45534i −0.402070 0.639174i
\(103\) −8.45144 4.87944i −0.832745 0.480786i 0.0220466 0.999757i \(-0.492982\pi\)
−0.854792 + 0.518971i \(0.826315\pi\)
\(104\) 10.6154 2.80851i 1.04092 0.275397i
\(105\) −0.000530155 0.00882568i −5.17378e−5 0.000861298i
\(106\) 7.53362 + 13.0486i 0.731730 + 1.26739i
\(107\) 5.46272i 0.528101i −0.964509 0.264051i \(-0.914941\pi\)
0.964509 0.264051i \(-0.0850586\pi\)
\(108\) −0.523511 4.58383i −0.0503748 0.441079i
\(109\) −3.68535 6.38321i −0.352993 0.611401i 0.633780 0.773514i \(-0.281503\pi\)
−0.986772 + 0.162113i \(0.948169\pi\)
\(110\) −0.00254017 0.00439971i −0.000242196 0.000419496i
\(111\) 5.35966 3.37147i 0.508716 0.320006i
\(112\) 3.79800 0.0839203i 0.358877 0.00792972i
\(113\) 0.390686 + 0.225562i 0.0367526 + 0.0212191i 0.518264 0.855221i \(-0.326579\pi\)
−0.481511 + 0.876440i \(0.659912\pi\)
\(114\) −8.67164 4.57749i −0.812173 0.428721i
\(115\) −0.00813843 0.00469872i −0.000758912 0.000438158i
\(116\) −6.72156 + 3.88069i −0.624081 + 0.360313i
\(117\) 10.6237 + 2.03373i 0.982166 + 0.188018i
\(118\) 5.51674i 0.507857i
\(119\) −11.0439 + 0.244026i −1.01240 + 0.0223698i
\(120\) 0.0101701 0.000385682i 0.000928396 3.52078e-5i
\(121\) −2.38277 4.12708i −0.216616 0.375189i
\(122\) −3.99638 6.92194i −0.361815 0.626683i
\(123\) 5.60733 + 2.95994i 0.505596 + 0.266889i
\(124\) −5.84037 + 3.37194i −0.524481 + 0.302809i
\(125\) −0.0192939 −0.00172570
\(126\) 7.62331 + 3.45658i 0.679138 + 0.307936i
\(127\) −4.71924 8.17397i −0.418765 0.725322i 0.577051 0.816708i \(-0.304204\pi\)
−0.995816 + 0.0913863i \(0.970870\pi\)
\(128\) 1.03524i 0.0915032i
\(129\) −0.174516 4.60181i −0.0153653 0.405167i
\(130\) −0.00192107 + 0.00708011i −0.000168489 + 0.000620967i
\(131\) −3.11100 + 5.38841i −0.271809 + 0.470788i −0.969325 0.245782i \(-0.920955\pi\)
0.697516 + 0.716569i \(0.254289\pi\)
\(132\) −3.83715 + 0.145517i −0.333981 + 0.0126657i
\(133\) −12.1406 + 7.37168i −1.05272 + 0.639205i
\(134\) 13.0181 + 7.51602i 1.12459 + 0.649285i
\(135\) 0.00919499 + 0.00399515i 0.000791379 + 0.000343848i
\(136\) 12.7156i 1.09035i
\(137\) 6.15626i 0.525965i 0.964801 + 0.262983i \(0.0847062\pi\)
−0.964801 + 0.262983i \(0.915294\pi\)
\(138\) 7.53055 4.73707i 0.641043 0.403246i
\(139\) −10.6666 6.15838i −0.904731 0.522347i −0.0259992 0.999662i \(-0.508277\pi\)
−0.878732 + 0.477315i \(0.841610\pi\)
\(140\) 0.00217895 0.00397430i 0.000184155 0.000335890i
\(141\) −0.235233 6.20286i −0.0198102 0.522375i
\(142\) 0.755285 1.30819i 0.0633821 0.109781i
\(143\) 2.35748 8.68851i 0.197143 0.726570i
\(144\) −1.86506 + 3.88288i −0.155422 + 0.323573i
\(145\) 0.0168655i 0.00140060i
\(146\) −0.980661 1.69856i −0.0811601 0.140573i
\(147\) 9.96756 6.90274i 0.822110 0.569328i
\(148\) 3.24589 0.266810
\(149\) 6.20222 3.58086i 0.508106 0.293355i −0.223949 0.974601i \(-0.571895\pi\)
0.732055 + 0.681246i \(0.238562\pi\)
\(150\) 4.26339 8.07660i 0.348104 0.659451i
\(151\) −8.14880 14.1141i −0.663140 1.14859i −0.979786 0.200049i \(-0.935890\pi\)
0.316646 0.948544i \(-0.397443\pi\)
\(152\) −8.17460 14.1588i −0.663048 1.14843i
\(153\) 5.42330 11.2908i 0.438447 0.912804i
\(154\) 3.34918 6.10874i 0.269884 0.492256i
\(155\) 0.0146545i 0.00117707i
\(156\) 4.05469 + 3.78224i 0.324635 + 0.302822i
\(157\) 4.07713 2.35393i 0.325391 0.187864i −0.328402 0.944538i \(-0.606510\pi\)
0.653793 + 0.756674i \(0.273177\pi\)
\(158\) −6.65749 3.84370i −0.529642 0.305789i
\(159\) −11.5524 + 21.8850i −0.916165 + 1.73559i
\(160\) 0.00764728 + 0.00441516i 0.000604571 + 0.000349049i
\(161\) −0.284672 12.8834i −0.0224353 1.01536i
\(162\) −7.40845 + 5.93258i −0.582063 + 0.466107i
\(163\) 2.10316 + 3.64278i 0.164732 + 0.285324i 0.936560 0.350507i \(-0.113991\pi\)
−0.771828 + 0.635831i \(0.780657\pi\)
\(164\) 1.62518 + 2.81490i 0.126905 + 0.219806i
\(165\) 0.00389522 0.00737914i 0.000303242 0.000574465i
\(166\) 10.9769i 0.851970i
\(167\) 7.24993 + 12.5573i 0.561017 + 0.971709i 0.997408 + 0.0719525i \(0.0229230\pi\)
−0.436391 + 0.899757i \(0.643744\pi\)
\(168\) 7.69021 + 11.6462i 0.593312 + 0.898522i
\(169\) −11.2991 + 6.42883i −0.869163 + 0.494526i
\(170\) 0.00735708 + 0.00424761i 0.000564263 + 0.000325777i
\(171\) −1.21976 16.0588i −0.0932776 1.22805i
\(172\) 1.18035 2.04443i 0.0900009 0.155886i
\(173\) 7.84836 + 13.5938i 0.596700 + 1.03351i 0.993305 + 0.115525i \(0.0368550\pi\)
−0.396605 + 0.917989i \(0.629812\pi\)
\(174\) 14.1201 + 7.45356i 1.07044 + 0.565053i
\(175\) −6.86584 11.3075i −0.519009 0.854768i
\(176\) 3.10486 + 1.79259i 0.234037 + 0.135122i
\(177\) −7.66963 + 4.82455i −0.576484 + 0.362636i
\(178\) 5.69865i 0.427132i
\(179\) −5.59852 3.23231i −0.418453 0.241594i 0.275962 0.961168i \(-0.411004\pi\)
−0.694415 + 0.719575i \(0.744337\pi\)
\(180\) 0.00289935 + 0.00424335i 0.000216105 + 0.000316281i
\(181\) 0.939369i 0.0698227i −0.999390 0.0349114i \(-0.988885\pi\)
0.999390 0.0349114i \(-0.0111149\pi\)
\(182\) −9.66608 + 2.78723i −0.716497 + 0.206604i
\(183\) 6.12824 11.6094i 0.453012 0.858190i
\(184\) 14.8335 1.09354
\(185\) −0.00352666 + 0.00610835i −0.000259285 + 0.000449095i
\(186\) 12.2690 + 6.47640i 0.899603 + 0.474873i
\(187\) −9.02840 5.21255i −0.660222 0.381179i
\(188\) 1.59101 2.75572i 0.116037 0.200981i
\(189\) 1.86131 + 13.6211i 0.135391 + 0.990792i
\(190\) 0.0109229 0.000792428
\(191\) 4.65873 2.68972i 0.337094 0.194621i −0.321892 0.946776i \(-0.604319\pi\)
0.658986 + 0.752155i \(0.270986\pi\)
\(192\) −11.2863 + 7.09963i −0.814521 + 0.512371i
\(193\) −10.5713 + 18.3100i −0.760938 + 1.31798i 0.181430 + 0.983404i \(0.441927\pi\)
−0.942368 + 0.334579i \(0.891406\pi\)
\(194\) 1.26042 2.18311i 0.0904928 0.156738i
\(195\) −0.0115231 + 0.00352100i −0.000825188 + 0.000252144i
\(196\) 6.20919 0.274530i 0.443513 0.0196093i
\(197\) −22.4348 + 12.9527i −1.59841 + 0.922843i −0.606616 + 0.794995i \(0.707474\pi\)
−0.991794 + 0.127848i \(0.959193\pi\)
\(198\) 4.45648 + 6.52228i 0.316708 + 0.463519i
\(199\) 2.76818i 0.196231i −0.995175 0.0981157i \(-0.968718\pi\)
0.995175 0.0981157i \(-0.0312815\pi\)
\(200\) 13.1873 7.61367i 0.932480 0.538368i
\(201\) 0.935620 + 24.6714i 0.0659935 + 1.74018i
\(202\) −16.4937 9.52267i −1.16050 0.670012i
\(203\) 19.7686 12.0033i 1.38748 0.842470i
\(204\) 5.43509 3.41892i 0.380532 0.239372i
\(205\) −0.00706304 −0.000493304
\(206\) −5.14569 + 8.91259i −0.358517 + 0.620969i
\(207\) 13.1714 + 6.32661i 0.915474 + 0.439730i
\(208\) −1.32414 5.00486i −0.0918125 0.347025i
\(209\) −13.4042 −0.927189
\(210\) −0.00930725 0.000559083i −0.000642261 3.85804e-5i
\(211\) −3.90647 6.76621i −0.268933 0.465805i 0.699654 0.714482i \(-0.253338\pi\)
−0.968586 + 0.248677i \(0.920004\pi\)
\(212\) −10.9863 + 6.34295i −0.754543 + 0.435636i
\(213\) 2.47923 0.0940204i 0.169874 0.00644217i
\(214\) −5.76080 −0.393800
\(215\) 0.00256490 + 0.00444254i 0.000174925 + 0.000302979i
\(216\) −15.7225 + 1.79564i −1.06978 + 0.122178i
\(217\) 17.1770 10.4297i 1.16605 0.708016i
\(218\) −6.73151 + 3.88644i −0.455916 + 0.263223i
\(219\) 1.50379 2.84880i 0.101617 0.192504i
\(220\) 0.00370435 0.00213870i 0.000249747 0.000144191i
\(221\) 3.85037 + 14.5533i 0.259004 + 0.978961i
\(222\) −3.55544 5.65211i −0.238625 0.379345i
\(223\) 6.48830 3.74602i 0.434489 0.250852i −0.266768 0.963761i \(-0.585956\pi\)
0.701257 + 0.712909i \(0.252623\pi\)
\(224\) 0.267492 + 12.1059i 0.0178726 + 0.808863i
\(225\) 14.9569 1.13606i 0.997127 0.0757376i
\(226\) 0.237870 0.412003i 0.0158229 0.0274061i
\(227\) −8.54135 −0.566909 −0.283455 0.958986i \(-0.591481\pi\)
−0.283455 + 0.958986i \(0.591481\pi\)
\(228\) 3.85403 7.30111i 0.255239 0.483528i
\(229\) 8.92049 + 5.15025i 0.589482 + 0.340338i 0.764893 0.644158i \(-0.222792\pi\)
−0.175410 + 0.984495i \(0.556125\pi\)
\(230\) −0.00495511 + 0.00858250i −0.000326730 + 0.000565913i
\(231\) 11.4216 0.686090i 0.751486 0.0451414i
\(232\) 13.3108 + 23.0549i 0.873894 + 1.51363i
\(233\) 1.09700 + 0.633351i 0.0718666 + 0.0414922i 0.535503 0.844534i \(-0.320122\pi\)
−0.463636 + 0.886026i \(0.653456\pi\)
\(234\) 2.14470 11.2034i 0.140203 0.732391i
\(235\) 0.00345727 + 0.00598818i 0.000225528 + 0.000390626i
\(236\) −4.64484 −0.302353
\(237\) −0.478477 12.6170i −0.0310804 0.819561i
\(238\) 0.257341 + 11.6466i 0.0166810 + 0.754934i
\(239\) 18.8399i 1.21865i −0.792921 0.609325i \(-0.791441\pi\)
0.792921 0.609325i \(-0.208559\pi\)
\(240\) −0.000181839 0.00479492i −1.17377e−5 0.000309511i
\(241\) 1.22332i 0.0788012i 0.999223 + 0.0394006i \(0.0125448\pi\)
−0.999223 + 0.0394006i \(0.987455\pi\)
\(242\) −4.35228 + 2.51279i −0.279775 + 0.161528i
\(243\) −14.7266 5.11136i −0.944715 0.327894i
\(244\) 5.82794 3.36476i 0.373096 0.215407i
\(245\) −0.00622966 + 0.0119832i −0.000397998 + 0.000765578i
\(246\) 3.12145 5.91329i 0.199016 0.377018i
\(247\) 13.6435 + 13.7298i 0.868113 + 0.873608i
\(248\) 11.5657 + 20.0324i 0.734425 + 1.27206i
\(249\) 15.2605 9.59959i 0.967097 0.608349i
\(250\) 0.0203467i 0.00128684i
\(251\) 4.42278 7.66048i 0.279163 0.483525i −0.692014 0.721884i \(-0.743276\pi\)
0.971177 + 0.238359i \(0.0766096\pi\)
\(252\) −2.91027 + 6.41846i −0.183330 + 0.404325i
\(253\) 6.08077 10.5322i 0.382294 0.662153i
\(254\) −8.61998 + 4.97674i −0.540865 + 0.312269i
\(255\) 0.000528758 0.0139428i 3.31121e−5 0.000873133i
\(256\) −16.4881 −1.03051
\(257\) 10.9439 0.682659 0.341329 0.939944i \(-0.389123\pi\)
0.341329 + 0.939944i \(0.389123\pi\)
\(258\) −4.85291 + 0.184038i −0.302129 + 0.0114577i
\(259\) −9.66976 + 0.213662i −0.600849 + 0.0132763i
\(260\) −0.00596112 0.00161745i −0.000369693 0.000100310i
\(261\) 1.98615 + 26.1487i 0.122940 + 1.61857i
\(262\) 5.68243 + 3.28075i 0.351062 + 0.202686i
\(263\) 11.0111 + 6.35726i 0.678973 + 0.392005i 0.799468 0.600709i \(-0.205115\pi\)
−0.120495 + 0.992714i \(0.538448\pi\)
\(264\) 0.499124 + 13.1614i 0.0307189 + 0.810028i
\(265\) 0.0275665i 0.00169339i
\(266\) 7.77391 + 12.8030i 0.476649 + 0.785005i
\(267\) −7.92253 + 4.98364i −0.484851 + 0.304994i
\(268\) −6.32813 + 10.9606i −0.386552 + 0.669528i
\(269\) −23.1586 −1.41201 −0.706003 0.708208i \(-0.749504\pi\)
−0.706003 + 0.708208i \(0.749504\pi\)
\(270\) 0.00421315 0.00969671i 0.000256404 0.000590123i
\(271\) 26.3454i 1.60037i −0.599753 0.800185i \(-0.704735\pi\)
0.599753 0.800185i \(-0.295265\pi\)
\(272\) −5.99505 −0.363503
\(273\) −12.3282 11.0007i −0.746137 0.665793i
\(274\) 6.49218 0.392207
\(275\) 12.4844i 0.752840i
\(276\) 3.98839 + 6.34037i 0.240073 + 0.381645i
\(277\) −4.40451 −0.264641 −0.132321 0.991207i \(-0.542243\pi\)
−0.132321 + 0.991207i \(0.542243\pi\)
\(278\) −6.49441 + 11.2486i −0.389509 + 0.674649i
\(279\) 1.72577 + 22.7207i 0.103319 + 1.36025i
\(280\) −0.0136318 0.00747379i −0.000814658 0.000446644i
\(281\) 13.2912i 0.792885i −0.918060 0.396442i \(-0.870245\pi\)
0.918060 0.396442i \(-0.129755\pi\)
\(282\) −6.54131 + 0.248068i −0.389529 + 0.0147722i
\(283\) 14.1843 + 8.18929i 0.843167 + 0.486803i 0.858339 0.513082i \(-0.171496\pi\)
−0.0151725 + 0.999885i \(0.504830\pi\)
\(284\) 1.10144 + 0.635914i 0.0653582 + 0.0377346i
\(285\) 0.00955236 + 0.0151855i 0.000565833 + 0.000899509i
\(286\) −9.16259 2.48612i −0.541796 0.147007i
\(287\) −5.02684 8.27882i −0.296725 0.488683i
\(288\) −12.3765 5.94481i −0.729292 0.350301i
\(289\) 0.432600 0.0254470
\(290\) −0.0177858 −0.00104442
\(291\) 4.13733 0.156901i 0.242534 0.00919771i
\(292\) 1.43010 0.825670i 0.0836905 0.0483187i
\(293\) −9.96323 + 17.2568i −0.582058 + 1.00815i 0.413177 + 0.910651i \(0.364419\pi\)
−0.995235 + 0.0975037i \(0.968914\pi\)
\(294\) −7.27938 10.5114i −0.424542 0.613039i
\(295\) 0.00504662 0.00874100i 0.000293825 0.000508920i
\(296\) 11.1334i 0.647114i
\(297\) −5.17026 + 11.8995i −0.300009 + 0.690481i
\(298\) −3.77624 6.54065i −0.218752 0.378889i
\(299\) −16.9773 + 4.49170i −0.981824 + 0.259762i
\(300\) 6.80011 + 3.58957i 0.392605 + 0.207244i
\(301\) −3.38179 + 6.16821i −0.194923 + 0.355530i
\(302\) −14.8843 + 8.59344i −0.856494 + 0.494497i
\(303\) −1.18541 31.2582i −0.0681003 1.79574i
\(304\) −6.67551 + 3.85411i −0.382867 + 0.221048i
\(305\) 0.0146233i 0.000837326i
\(306\) −11.9068 5.71922i −0.680669 0.326946i
\(307\) 4.93316i 0.281551i 0.990042 + 0.140775i \(0.0449595\pi\)
−0.990042 + 0.140775i \(0.955040\pi\)
\(308\) 5.14327 + 2.81985i 0.293065 + 0.160676i
\(309\) −16.8907 + 0.640552i −0.960880 + 0.0364398i
\(310\) −0.0154541 −0.000877732
\(311\) 6.69213 + 11.5911i 0.379476 + 0.657272i 0.990986 0.133965i \(-0.0427710\pi\)
−0.611510 + 0.791237i \(0.709438\pi\)
\(312\) 12.9731 13.9076i 0.734456 0.787360i
\(313\) 23.9599 + 13.8332i 1.35429 + 0.781901i 0.988847 0.148932i \(-0.0475835\pi\)
0.365445 + 0.930833i \(0.380917\pi\)
\(314\) −2.48238 4.29960i −0.140089 0.242641i
\(315\) −0.00891673 0.0124504i −0.000502401 0.000701502i
\(316\) 3.23622 5.60529i 0.182051 0.315322i
\(317\) 12.8384 + 7.41223i 0.721075 + 0.416313i 0.815148 0.579253i \(-0.196656\pi\)
−0.0940735 + 0.995565i \(0.529989\pi\)
\(318\) 23.0791 + 12.1828i 1.29421 + 0.683175i
\(319\) 21.8262 1.22203
\(320\) 0.00742641 0.0128629i 0.000415149 0.000719059i
\(321\) −5.03798 8.00892i −0.281193 0.447014i
\(322\) −13.5864 + 0.300205i −0.757142 + 0.0167298i
\(323\) 19.4113 11.2071i 1.08007 0.623580i
\(324\) −4.99495 6.23757i −0.277497 0.346531i
\(325\) −12.7877 + 12.7073i −0.709334 + 0.704872i
\(326\) 3.84155 2.21792i 0.212764 0.122839i
\(327\) −11.2900 5.95965i −0.624339 0.329569i
\(328\) 9.65508 5.57436i 0.533113 0.307793i
\(329\) −4.55836 + 8.31423i −0.251311 + 0.458378i
\(330\) −0.00778178 0.00410776i −0.000428373 0.000226125i
\(331\) −2.90440 5.03057i −0.159640 0.276505i 0.775099 0.631840i \(-0.217700\pi\)
−0.934739 + 0.355335i \(0.884367\pi\)
\(332\) 9.24200 0.507221
\(333\) 4.74848 9.88586i 0.260215 0.541742i
\(334\) 13.2424 7.64552i 0.724594 0.418344i
\(335\) −0.0137510 0.0238175i −0.000751299 0.00130129i
\(336\) 5.49086 3.62573i 0.299551 0.197800i
\(337\) −9.55520 −0.520505 −0.260252 0.965541i \(-0.583806\pi\)
−0.260252 + 0.965541i \(0.583806\pi\)
\(338\) 6.77962 + 11.9157i 0.368763 + 0.648126i
\(339\) 0.780810 0.0296109i 0.0424078 0.00160824i
\(340\) −0.00357629 + 0.00619432i −0.000193952 + 0.000335934i
\(341\) 18.9648 1.02700
\(342\) −16.9351 + 1.28632i −0.915745 + 0.0695562i
\(343\) −18.4796 + 1.22657i −0.997804 + 0.0662285i
\(344\) −7.01238 4.04860i −0.378082 0.218286i
\(345\) −0.0162652 0.000616829i −0.000875687 3.32089e-5i
\(346\) 14.3355 8.27660i 0.770681 0.444953i
\(347\) 29.1178i 1.56313i −0.623826 0.781563i \(-0.714423\pi\)
0.623826 0.781563i \(-0.285577\pi\)
\(348\) −6.27554 + 11.8884i −0.336404 + 0.637287i
\(349\) −27.1567 + 15.6790i −1.45367 + 0.839275i −0.998687 0.0512262i \(-0.983687\pi\)
−0.454980 + 0.890501i \(0.650354\pi\)
\(350\) −11.9245 + 7.24047i −0.637392 + 0.387019i
\(351\) 17.4511 6.81607i 0.931471 0.363815i
\(352\) −5.71380 + 9.89659i −0.304547 + 0.527490i
\(353\) 0.797729 1.38171i 0.0424588 0.0735408i −0.844015 0.536320i \(-0.819814\pi\)
0.886474 + 0.462779i \(0.153148\pi\)
\(354\) 5.08780 + 8.08812i 0.270414 + 0.429879i
\(355\) −0.00239342 + 0.00138184i −0.000127030 + 7.33406e-5i
\(356\) −4.79800 −0.254293
\(357\) −15.9665 + 10.5430i −0.845037 + 0.557995i
\(358\) −3.40868 + 5.90400i −0.180154 + 0.312036i
\(359\) 11.1728 + 6.45064i 0.589680 + 0.340452i 0.764971 0.644065i \(-0.222753\pi\)
−0.175291 + 0.984517i \(0.556087\pi\)
\(360\) 0.0145547 0.00994477i 0.000767099 0.000524135i
\(361\) 4.90969 8.50384i 0.258405 0.447570i
\(362\) −0.990625 −0.0520661
\(363\) −7.29958 3.85323i −0.383129 0.202242i
\(364\) −2.34672 8.13838i −0.123002 0.426567i
\(365\) 0.00358837i 0.000187824i
\(366\) −12.2428 6.46262i −0.639944 0.337807i
\(367\) 11.3448 + 6.54993i 0.592194 + 0.341903i 0.765965 0.642883i \(-0.222262\pi\)
−0.173770 + 0.984786i \(0.555595\pi\)
\(368\) 6.99360i 0.364567i
\(369\) 10.9507 0.831772i 0.570072 0.0433003i
\(370\) 0.00644165 + 0.00371909i 0.000334885 + 0.000193346i
\(371\) 32.3116 19.6193i 1.67753 1.01859i
\(372\) −5.45282 + 10.3299i −0.282716 + 0.535579i
\(373\) −3.06870 5.31515i −0.158891 0.275208i 0.775578 0.631252i \(-0.217459\pi\)
−0.934469 + 0.356044i \(0.884125\pi\)
\(374\) −5.49697 + 9.52103i −0.284242 + 0.492321i
\(375\) −0.0282869 + 0.0177938i −0.00146073 + 0.000918867i
\(376\) −9.45210 5.45717i −0.487455 0.281432i
\(377\) −22.2157 22.3564i −1.14417 1.15141i
\(378\) 14.3644 1.96288i 0.738824 0.100959i
\(379\) 6.45103 + 11.1735i 0.331367 + 0.573945i 0.982780 0.184779i \(-0.0591568\pi\)
−0.651413 + 0.758723i \(0.725823\pi\)
\(380\) 0.00919653i 0.000471772i
\(381\) −14.4573 7.63157i −0.740671 0.390977i
\(382\) −2.83648 4.91293i −0.145127 0.251368i
\(383\) −4.61988 8.00187i −0.236065 0.408876i 0.723517 0.690307i \(-0.242524\pi\)
−0.959582 + 0.281430i \(0.909191\pi\)
\(384\) −0.954748 1.51777i −0.0487218 0.0774534i
\(385\) −0.0108948 + 0.00661521i −0.000555248 + 0.000337143i
\(386\) 19.3091 + 11.1481i 0.982806 + 0.567423i
\(387\) −4.49987 6.58579i −0.228741 0.334774i
\(388\) 1.83807 + 1.06121i 0.0933140 + 0.0538749i
\(389\) 11.3864 6.57391i 0.577311 0.333311i −0.182753 0.983159i \(-0.558501\pi\)
0.760064 + 0.649848i \(0.225168\pi\)
\(390\) 0.00371312 + 0.0121519i 0.000188021 + 0.000615334i
\(391\) 20.3362i 1.02845i
\(392\) −0.941635 21.2975i −0.0475598 1.07569i
\(393\) 0.408399 + 10.7691i 0.0206010 + 0.543228i
\(394\) 13.6595 + 23.6589i 0.688154 + 1.19192i
\(395\) 0.00703230 + 0.0121803i 0.000353834 + 0.000612858i
\(396\) −5.49145 + 3.75214i −0.275956 + 0.188552i
\(397\) 16.0733 9.27995i 0.806698 0.465747i −0.0391097 0.999235i \(-0.512452\pi\)
0.845808 + 0.533487i \(0.179119\pi\)
\(398\) −2.91923 −0.146328
\(399\) −11.0009 + 22.0043i −0.550732 + 1.10159i
\(400\) −3.58964 6.21745i −0.179482 0.310872i
\(401\) 12.3532i 0.616888i −0.951243 0.308444i \(-0.900192\pi\)
0.951243 0.308444i \(-0.0998082\pi\)
\(402\) 26.0176 0.986671i 1.29764 0.0492107i
\(403\) −19.3033 19.4255i −0.961565 0.967651i
\(404\) 8.01763 13.8869i 0.398892 0.690901i
\(405\) 0.0171653 0.00262275i 0.000852952 0.000130325i
\(406\) −12.6583 20.8473i −0.628221 1.03463i
\(407\) −7.90501 4.56396i −0.391837 0.226227i
\(408\) −11.7269 18.6423i −0.580568 0.922933i
\(409\) 5.77235i 0.285424i −0.989764 0.142712i \(-0.954418\pi\)
0.989764 0.142712i \(-0.0455823\pi\)
\(410\) 0.00744843i 0.000367852i
\(411\) 5.67760 + 9.02572i 0.280055 + 0.445206i
\(412\) −7.50398 4.33242i −0.369694 0.213443i
\(413\) 13.8373 0.305749i 0.680891 0.0150449i
\(414\) 6.67182 13.8901i 0.327902 0.682660i
\(415\) −0.0100414 + 0.0173923i −0.000492915 + 0.000853753i
\(416\) 15.9528 4.22063i 0.782149 0.206934i
\(417\) −21.3179 + 0.808446i −1.04394 + 0.0395898i
\(418\) 14.1356i 0.691396i
\(419\) −17.6169 30.5134i −0.860644 1.49068i −0.871309 0.490736i \(-0.836728\pi\)
0.0106648 0.999943i \(-0.496605\pi\)
\(420\) −0.000470721 0.00783626i −2.29688e−5 0.000382371i
\(421\) 27.0300 1.31736 0.658682 0.752421i \(-0.271114\pi\)
0.658682 + 0.752421i \(0.271114\pi\)
\(422\) −7.13541 + 4.11963i −0.347346 + 0.200540i
\(423\) −6.06544 8.87709i −0.294912 0.431619i
\(424\) 21.7563 + 37.6830i 1.05658 + 1.83005i
\(425\) 10.4381 + 18.0793i 0.506321 + 0.876974i
\(426\) −0.0991506 2.61450i −0.00480386 0.126673i
\(427\) −17.1404 + 10.4075i −0.829483 + 0.503656i
\(428\) 4.85032i 0.234449i
\(429\) −4.55664 14.9124i −0.219997 0.719979i
\(430\) 0.00468495 0.00270486i 0.000225928 0.000130440i
\(431\) 27.1302 + 15.6636i 1.30681 + 0.754490i 0.981563 0.191138i \(-0.0612177\pi\)
0.325252 + 0.945627i \(0.394551\pi\)
\(432\) 0.846597 + 7.41275i 0.0407319 + 0.356646i
\(433\) 3.41909 + 1.97401i 0.164311 + 0.0948649i 0.579900 0.814687i \(-0.303091\pi\)
−0.415590 + 0.909552i \(0.636425\pi\)
\(434\) −10.9988 18.1142i −0.527960 0.869511i
\(435\) −0.0155542 0.0247266i −0.000745765 0.00118555i
\(436\) −3.27220 5.66761i −0.156710 0.271429i
\(437\) 13.0738 + 22.6445i 0.625404 + 1.08323i
\(438\) −3.00424 1.58585i −0.143548 0.0757746i
\(439\) 30.8667i 1.47319i 0.676337 + 0.736593i \(0.263566\pi\)
−0.676337 + 0.736593i \(0.736434\pi\)
\(440\) −0.00733575 0.0127059i −0.000349718 0.000605729i
\(441\) 8.24744 19.3127i 0.392735 0.919652i
\(442\) 15.3474 4.06047i 0.730001 0.193137i
\(443\) −16.2769 9.39748i −0.773340 0.446488i 0.0607250 0.998155i \(-0.480659\pi\)
−0.834065 + 0.551667i \(0.813992\pi\)
\(444\) 4.75881 2.99351i 0.225843 0.142066i
\(445\) 0.00521303 0.00902923i 0.000247121 0.000428026i
\(446\) −3.95042 6.84233i −0.187058 0.323994i
\(447\) 5.79067 10.9699i 0.273889 0.518858i
\(448\) 20.3625 0.449928i 0.962038 0.0212571i
\(449\) 4.95835 + 2.86270i 0.233999 + 0.135099i 0.612415 0.790536i \(-0.290198\pi\)
−0.378417 + 0.925635i \(0.623531\pi\)
\(450\) −1.19805 15.7730i −0.0564768 0.743547i
\(451\) 9.14050i 0.430409i
\(452\) 0.346887 + 0.200275i 0.0163162 + 0.00942016i
\(453\) −24.9637 13.1776i −1.17290 0.619137i
\(454\) 9.00741i 0.422739i
\(455\) 0.0178651 + 0.00442612i 0.000837529 + 0.000207500i
\(456\) −25.0428 13.2193i −1.17273 0.619051i
\(457\) 33.8986 1.58571 0.792854 0.609412i \(-0.208594\pi\)
0.792854 + 0.609412i \(0.208594\pi\)
\(458\) 5.43127 9.40723i 0.253786 0.439571i
\(459\) −2.46176 21.5550i −0.114905 1.00610i
\(460\) −0.00722605 0.00417196i −0.000336917 0.000194519i
\(461\) 9.37925 16.2453i 0.436835 0.756621i −0.560608 0.828081i \(-0.689433\pi\)
0.997443 + 0.0714602i \(0.0227659\pi\)
\(462\) −0.723527 12.0448i −0.0336615 0.560375i
\(463\) −20.1902 −0.938317 −0.469158 0.883114i \(-0.655443\pi\)
−0.469158 + 0.883114i \(0.655443\pi\)
\(464\) 10.8698 6.27567i 0.504617 0.291341i
\(465\) −0.0135150 0.0214849i −0.000626745 0.000996340i
\(466\) 0.667909 1.15685i 0.0309403 0.0535902i
\(467\) −3.57259 + 6.18791i −0.165320 + 0.286342i −0.936769 0.349949i \(-0.886199\pi\)
0.771449 + 0.636291i \(0.219532\pi\)
\(468\) 9.43275 + 1.80573i 0.436029 + 0.0834701i
\(469\) 18.1305 33.0692i 0.837190 1.52699i
\(470\) 0.00631492 0.00364592i 0.000291285 0.000168174i
\(471\) 3.80659 7.21124i 0.175398 0.332276i
\(472\) 15.9318i 0.733319i
\(473\) −5.74924 + 3.31932i −0.264350 + 0.152623i
\(474\) −13.3054 + 0.504585i −0.611138 + 0.0231764i
\(475\) 23.2457 + 13.4209i 1.06659 + 0.615794i
\(476\) −9.80584 + 0.216669i −0.449450 + 0.00993102i
\(477\) 3.24634 + 42.7398i 0.148640 + 1.95692i
\(478\) −19.8679 −0.908735
\(479\) −4.61963 + 8.00143i −0.211076 + 0.365595i −0.952052 0.305938i \(-0.901030\pi\)
0.740975 + 0.671532i \(0.234363\pi\)
\(480\) 0.0152836 0.000579604i 0.000697597 2.64552e-5i
\(481\) 3.37128 + 12.7424i 0.153717 + 0.581005i
\(482\) 1.29007 0.0587612
\(483\) −12.2991 18.6259i −0.559628 0.847509i
\(484\) −2.11565 3.66441i −0.0961658 0.166564i
\(485\) −0.00399414 + 0.00230602i −0.000181364 + 0.000104711i
\(486\) −5.39026 + 15.5302i −0.244507 + 0.704464i
\(487\) 1.30155 0.0589787 0.0294894 0.999565i \(-0.490612\pi\)
0.0294894 + 0.999565i \(0.490612\pi\)
\(488\) −11.5411 19.9898i −0.522442 0.904896i
\(489\) 6.44299 + 3.40106i 0.291362 + 0.153801i
\(490\) 0.0126370 + 0.00656958i 0.000570884 + 0.000296783i
\(491\) 11.4486 6.60986i 0.516668 0.298299i −0.218902 0.975747i \(-0.570248\pi\)
0.735570 + 0.677448i \(0.236914\pi\)
\(492\) 4.97871 + 2.62811i 0.224458 + 0.118484i
\(493\) −31.6075 + 18.2486i −1.42353 + 0.821876i
\(494\) 14.4790 14.3879i 0.651440 0.647343i
\(495\) −0.00109459 0.0144109i −4.91984e−5 0.000647723i
\(496\) 9.44476 5.45294i 0.424082 0.244844i
\(497\) −3.32312 1.82194i −0.149062 0.0817250i
\(498\) −10.1234 16.0932i −0.453640 0.721154i
\(499\) 3.18217 5.51168i 0.142454 0.246737i −0.785966 0.618269i \(-0.787834\pi\)
0.928420 + 0.371532i \(0.121168\pi\)
\(500\) −0.0171309 −0.000766119
\(501\) 22.2100 + 11.7240i 0.992272 + 0.523790i
\(502\) −8.07847 4.66411i −0.360560 0.208169i
\(503\) −17.7261 + 30.7026i −0.790370 + 1.36896i 0.135369 + 0.990795i \(0.456778\pi\)
−0.925738 + 0.378165i \(0.876555\pi\)
\(504\) 22.0153 + 9.98222i 0.980639 + 0.444644i
\(505\) 0.0174223 + 0.0301764i 0.000775283 + 0.00134283i
\(506\) −11.1069 6.41256i −0.493761 0.285073i
\(507\) −10.6367 + 19.8459i −0.472393 + 0.881388i
\(508\) −4.19018 7.25761i −0.185909 0.322004i
\(509\) −15.6499 −0.693670 −0.346835 0.937926i \(-0.612744\pi\)
−0.346835 + 0.937926i \(0.612744\pi\)
\(510\) 0.0147036 0.000557609i 0.000651086 2.46913e-5i
\(511\) −4.20604 + 2.55388i −0.186064 + 0.112977i
\(512\) 15.3173i 0.676934i
\(513\) −16.5985 22.4190i −0.732843 0.989824i
\(514\) 11.5410i 0.509052i
\(515\) 0.0163062 0.00941436i 0.000718535 0.000414846i
\(516\) −0.154952 4.08592i −0.00682136 0.179873i
\(517\) −7.74949 + 4.47417i −0.340822 + 0.196774i
\(518\) 0.225321 + 10.1974i 0.00990002 + 0.448047i
\(519\) 24.0433 + 12.6917i 1.05538 + 0.557105i
\(520\) −0.00554785 + 0.0204466i −0.000243289 + 0.000896643i
\(521\) 19.1120 + 33.1029i 0.837310 + 1.45026i 0.892136 + 0.451767i \(0.149206\pi\)
−0.0548261 + 0.998496i \(0.517460\pi\)
\(522\) 27.5755 2.09452i 1.20695 0.0916747i
\(523\) 30.7021i 1.34251i −0.741228 0.671254i \(-0.765756\pi\)
0.741228 0.671254i \(-0.234244\pi\)
\(524\) −2.76224 + 4.78434i −0.120669 + 0.209005i
\(525\) −20.4944 10.2460i −0.894447 0.447172i
\(526\) 6.70414 11.6119i 0.292314 0.506303i
\(527\) −27.4638 + 15.8562i −1.19634 + 0.690708i
\(528\) 6.20525 0.235324i 0.270049 0.0102411i
\(529\) −0.723461 −0.0314548
\(530\) −0.0290706 −0.00126275
\(531\) −6.79504 + 14.1466i −0.294879 + 0.613909i
\(532\) −10.7796 + 6.54526i −0.467353 + 0.283773i
\(533\) −9.36253 + 9.30364i −0.405536 + 0.402985i
\(534\) 5.25557 + 8.35482i 0.227431 + 0.361548i
\(535\) 0.00912769 + 0.00526987i 0.000394624 + 0.000227836i
\(536\) 37.5950 + 21.7055i 1.62385 + 0.937533i
\(537\) −11.1890 + 0.424324i −0.482841 + 0.0183109i
\(538\) 24.4223i 1.05292i
\(539\) −15.5078 8.06199i −0.667969 0.347255i
\(540\) 0.00816417 + 0.00354727i 0.000351330 + 0.000152650i
\(541\) 4.56917 7.91403i 0.196444 0.340251i −0.750929 0.660383i \(-0.770394\pi\)
0.947373 + 0.320132i \(0.103727\pi\)
\(542\) −27.7829 −1.19338
\(543\) −0.866330 1.37721i −0.0371778 0.0591018i
\(544\) 19.1090i 0.819289i
\(545\) 0.0142210 0.000609160
\(546\) −11.6009 + 13.0009i −0.496475 + 0.556387i
\(547\) −35.4176 −1.51435 −0.757173 0.653214i \(-0.773420\pi\)
−0.757173 + 0.653214i \(0.773420\pi\)
\(548\) 5.46611i 0.233500i
\(549\) −1.72209 22.6723i −0.0734972 0.967631i
\(550\) −13.1656 −0.561385
\(551\) −23.4634 + 40.6398i −0.999574 + 1.73131i
\(552\) 21.7474 13.6801i 0.925632 0.582266i
\(553\) −9.27198 + 16.9116i −0.394285 + 0.719156i
\(554\) 4.64484i 0.197340i
\(555\) 0.000462965 0.0122079i 1.96518e−5 0.000518198i
\(556\) −9.47083 5.46798i −0.401653 0.231894i
\(557\) 3.92620 + 2.26679i 0.166358 + 0.0960470i 0.580868 0.813998i \(-0.302713\pi\)
−0.414509 + 0.910045i \(0.636047\pi\)
\(558\) 23.9604 1.81993i 1.01432 0.0770439i
\(559\) 9.25180 + 2.51032i 0.391310 + 0.106175i
\(560\) −0.00352369 + 0.00642705i −0.000148903 + 0.000271592i
\(561\) −18.0438 + 0.684282i −0.761811 + 0.0288904i
\(562\) −14.0164 −0.591246
\(563\) −12.1324 −0.511321 −0.255661 0.966767i \(-0.582293\pi\)
−0.255661 + 0.966767i \(0.582293\pi\)
\(564\) −0.208862 5.50747i −0.00879466 0.231906i
\(565\) −0.000753786 0 0.000435199i −3.17120e−5 0 1.83090e-5i
\(566\) 8.63613 14.9582i 0.363004 0.628741i
\(567\) 15.2909 + 18.2534i 0.642159 + 0.766571i
\(568\) 2.18118 3.77792i 0.0915204 0.158518i
\(569\) 36.3551i 1.52408i 0.647528 + 0.762042i \(0.275803\pi\)
−0.647528 + 0.762042i \(0.724197\pi\)
\(570\) 0.0160140 0.0100736i 0.000670754 0.000421936i
\(571\) 7.04698 + 12.2057i 0.294907 + 0.510794i 0.974963 0.222366i \(-0.0713780\pi\)
−0.680056 + 0.733160i \(0.738045\pi\)
\(572\) 2.09319 7.71447i 0.0875208 0.322558i
\(573\) 4.34960 8.23991i 0.181707 0.344227i
\(574\) −8.73055 + 5.30112i −0.364406 + 0.221265i
\(575\) −21.0906 + 12.1767i −0.879540 + 0.507802i
\(576\) −9.99932 + 20.8176i −0.416638 + 0.867399i
\(577\) 11.4758 6.62558i 0.477745 0.275826i −0.241731 0.970343i \(-0.577715\pi\)
0.719476 + 0.694517i \(0.244382\pi\)
\(578\) 0.456204i 0.0189756i
\(579\) 1.38775 + 36.5937i 0.0576731 + 1.52078i
\(580\) 0.0149748i 0.000621793i
\(581\) −27.5327 + 0.608360i −1.14225 + 0.0252390i
\(582\) −0.165462 4.36308i −0.00685864 0.180856i
\(583\) 35.6746 1.47749
\(584\) −2.83205 4.90525i −0.117191 0.202981i
\(585\) −0.0136469 + 0.0157893i −0.000564228 + 0.000652808i
\(586\) 18.1984 + 10.5069i 0.751771 + 0.434035i
\(587\) 15.6011 + 27.0220i 0.643928 + 1.11532i 0.984548 + 0.175115i \(0.0560296\pi\)
−0.340620 + 0.940201i \(0.610637\pi\)
\(588\) 8.85013 6.12890i 0.364973 0.252751i
\(589\) −20.3874 + 35.3120i −0.840047 + 1.45500i
\(590\) −0.00921795 0.00532198i −0.000379497 0.000219103i
\(591\) −20.9461 + 39.6804i −0.861606 + 1.63223i
\(592\) −5.24909 −0.215736
\(593\) 5.48292 9.49670i 0.225157 0.389983i −0.731210 0.682153i \(-0.761044\pi\)
0.956366 + 0.292170i \(0.0943773\pi\)
\(594\) 12.5488 + 5.45237i 0.514884 + 0.223713i
\(595\) 0.0102463 0.0186888i 0.000420058 0.000766165i
\(596\) 5.50691 3.17942i 0.225572 0.130234i
\(597\) −2.55295 4.05845i −0.104485 0.166101i
\(598\) 4.73679 + 17.9037i 0.193702 + 0.732136i
\(599\) −12.1466 + 7.01285i −0.496297 + 0.286537i −0.727183 0.686444i \(-0.759171\pi\)
0.230886 + 0.972981i \(0.425838\pi\)
\(600\) 12.3122 23.3243i 0.502644 0.952213i
\(601\) −3.15684 + 1.82260i −0.128770 + 0.0743455i −0.563001 0.826456i \(-0.690353\pi\)
0.434231 + 0.900801i \(0.357020\pi\)
\(602\) 6.50478 + 3.56631i 0.265115 + 0.145352i
\(603\) 24.1248 + 35.3079i 0.982439 + 1.43785i
\(604\) −7.23527 12.5319i −0.294399 0.509914i
\(605\) 0.00919461 0.000373814
\(606\) −32.9638 + 1.25010i −1.33906 + 0.0507817i
\(607\) 14.9262 8.61762i 0.605834 0.349778i −0.165499 0.986210i \(-0.552924\pi\)
0.771333 + 0.636432i \(0.219590\pi\)
\(608\) −12.2848 21.2779i −0.498214 0.862933i
\(609\) 17.9128 35.8297i 0.725862 1.45189i
\(610\) 0.0154212 0.000624386
\(611\) 12.4707 + 3.38370i 0.504509 + 0.136890i
\(612\) 4.81531 10.0250i 0.194647 0.405236i
\(613\) 15.2562 26.4245i 0.616193 1.06728i −0.373982 0.927436i \(-0.622008\pi\)
0.990174 0.139841i \(-0.0446590\pi\)
\(614\) 5.20234 0.209949
\(615\) −0.0103551 + 0.00651387i −0.000417560 + 0.000262665i
\(616\) 9.67207 17.6414i 0.389699 0.710791i
\(617\) −5.82452 3.36279i −0.234486 0.135381i 0.378154 0.925743i \(-0.376559\pi\)
−0.612640 + 0.790362i \(0.709892\pi\)
\(618\) 0.675504 + 17.8124i 0.0271728 + 0.716519i
\(619\) 8.43263 4.86858i 0.338936 0.195685i −0.320865 0.947125i \(-0.603974\pi\)
0.659801 + 0.751440i \(0.270640\pi\)
\(620\) 0.0130116i 0.000522558i
\(621\) 25.1453 2.87180i 1.00905 0.115241i
\(622\) 12.2236 7.05729i 0.490121 0.282971i
\(623\) 14.2936 0.315831i 0.572662 0.0126535i
\(624\) −6.55704 6.11646i −0.262492 0.244854i
\(625\) −12.5000 + 21.6506i −0.499999 + 0.866023i
\(626\) 14.5880 25.2672i 0.583056 1.00988i
\(627\) −19.6520 + 12.3620i −0.784824 + 0.493691i
\(628\) 3.62006 2.09004i 0.144456 0.0834018i
\(629\) 15.2635 0.608595
\(630\) −0.0131298 + 0.00940326i −0.000523103 + 0.000374635i
\(631\) −1.16211 + 2.01284i −0.0462630 + 0.0801299i −0.888230 0.459400i \(-0.848065\pi\)
0.841967 + 0.539530i \(0.181398\pi\)
\(632\) −19.2261 11.1002i −0.764774 0.441543i
\(633\) −11.9674 6.31723i −0.475662 0.251087i
\(634\) 7.81668 13.5389i 0.310440 0.537698i
\(635\) 0.0182105 0.000722663
\(636\) −10.2573 + 19.4315i −0.406728 + 0.770510i
\(637\) 7.52678 + 24.0904i 0.298222 + 0.954497i
\(638\) 23.0171i 0.911256i
\(639\) 3.54809 2.42430i 0.140360 0.0959040i
\(640\) 0.00172979 0.000998693i 6.83759e−5 3.94768e-5i
\(641\) 11.0379i 0.435970i −0.975952 0.217985i \(-0.930052\pi\)
0.975952 0.217985i \(-0.0699483\pi\)
\(642\) −8.44592 + 5.31288i −0.333334 + 0.209683i
\(643\) −2.75926 1.59306i −0.108815 0.0628241i 0.444605 0.895727i \(-0.353344\pi\)
−0.553420 + 0.832903i \(0.686677\pi\)
\(644\) −0.252758 11.4391i −0.00996007 0.450765i
\(645\) 0.00785754 + 0.00414775i 0.000309390 + 0.000163318i
\(646\) −11.8186 20.4704i −0.464997 0.805399i
\(647\) −19.9767 + 34.6006i −0.785365 + 1.36029i 0.143416 + 0.989662i \(0.454191\pi\)
−0.928781 + 0.370629i \(0.879142\pi\)
\(648\) −21.3948 + 17.1326i −0.840468 + 0.673034i
\(649\) 11.3120 + 6.53099i 0.444035 + 0.256364i
\(650\) 13.4006 + 13.4854i 0.525616 + 0.528943i
\(651\) 15.5644 31.1325i 0.610018 1.22018i
\(652\) 1.86738 + 3.23440i 0.0731323 + 0.126669i
\(653\) 15.8931i 0.621946i −0.950419 0.310973i \(-0.899345\pi\)
0.950419 0.310973i \(-0.100655\pi\)
\(654\) −6.28483 + 11.9060i −0.245756 + 0.465563i
\(655\) −0.00600235 0.0103964i −0.000234531 0.000406220i
\(656\) −2.62816 4.55211i −0.102613 0.177730i
\(657\) −0.422580 5.56350i −0.0164864 0.217053i
\(658\) 8.76789 + 4.80709i 0.341808 + 0.187400i
\(659\) 43.5079 + 25.1193i 1.69483 + 0.978510i 0.950514 + 0.310681i \(0.100557\pi\)
0.744315 + 0.667829i \(0.232776\pi\)
\(660\) 0.00345854 0.00655189i 0.000134623 0.000255032i
\(661\) 43.6126 + 25.1798i 1.69633 + 0.979379i 0.949183 + 0.314725i \(0.101912\pi\)
0.747151 + 0.664654i \(0.231421\pi\)
\(662\) −5.30506 + 3.06288i −0.206187 + 0.119042i
\(663\) 19.0668 + 17.7856i 0.740493 + 0.690737i
\(664\) 31.7000i 1.23020i
\(665\) −0.000605367 0.0273972i −2.34751e−5 0.00106242i
\(666\) −10.4253 5.00758i −0.403971 0.194040i
\(667\) −21.2881 36.8721i −0.824280 1.42769i
\(668\) 6.43717 + 11.1495i 0.249062 + 0.431387i
\(669\) 6.05776 11.4759i 0.234206 0.443683i
\(670\) −0.0251171 + 0.0145014i −0.000970358 + 0.000560236i
\(671\) −18.9244 −0.730570
\(672\) 11.5568 + 17.5019i 0.445815 + 0.675150i
\(673\) 18.1511 + 31.4387i 0.699674 + 1.21187i 0.968579 + 0.248704i \(0.0800048\pi\)
−0.268905 + 0.963167i \(0.586662\pi\)
\(674\) 10.0766i 0.388135i
\(675\) 20.8806 15.4596i 0.803696 0.595039i
\(676\) −10.0324 + 5.70812i −0.385862 + 0.219543i
\(677\) 18.7369 32.4533i 0.720119 1.24728i −0.240833 0.970567i \(-0.577421\pi\)
0.960952 0.276716i \(-0.0892460\pi\)
\(678\) −0.0312266 0.823415i −0.00119925 0.0316231i
\(679\) −5.54562 3.04044i −0.212822 0.116682i
\(680\) 0.0212465 + 0.0122667i 0.000814765 + 0.000470405i
\(681\) −12.5225 + 7.87724i −0.479864 + 0.301857i
\(682\) 19.9996i 0.765824i
\(683\) 37.8062i 1.44661i 0.690526 + 0.723307i \(0.257379\pi\)
−0.690526 + 0.723307i \(0.742621\pi\)
\(684\) −1.08302 14.2585i −0.0414103 0.545189i
\(685\) −0.0102865 0.00593893i −0.000393028 0.000226915i
\(686\) 1.29350 + 19.4879i 0.0493859 + 0.744053i
\(687\) 17.8282 0.676103i 0.680187 0.0257949i
\(688\) −1.90881 + 3.30615i −0.0727726 + 0.126046i
\(689\) −36.3114 36.5412i −1.38335 1.39211i
\(690\) 0.000650486 0.0171527i 2.47636e−5 0.000652991i
\(691\) 12.9636i 0.493158i 0.969123 + 0.246579i \(0.0793065\pi\)
−0.969123 + 0.246579i \(0.920694\pi\)
\(692\) 6.96851 + 12.0698i 0.264903 + 0.458825i
\(693\) 16.1125 11.5394i 0.612063 0.438346i
\(694\) −30.7066 −1.16561
\(695\) 0.0205801 0.0118819i 0.000780648 0.000450708i
\(696\) 40.7773 + 21.5251i 1.54566 + 0.815906i
\(697\) 7.64226 + 13.2368i 0.289471 + 0.501379i
\(698\) 16.5345 + 28.6385i 0.625839 + 1.08399i
\(699\) 2.19241 0.0831436i 0.0829247 0.00314478i
\(700\) −6.09613 10.0399i −0.230412 0.379471i
\(701\) 34.9085i 1.31848i −0.751934 0.659238i \(-0.770879\pi\)
0.751934 0.659238i \(-0.229121\pi\)
\(702\) −7.18798 18.4033i −0.271293 0.694589i
\(703\) 16.9960 9.81262i 0.641014 0.370090i
\(704\) 16.6463 + 9.61075i 0.627381 + 0.362219i
\(705\) 0.0105913 + 0.00559082i 0.000398892 + 0.000210563i
\(706\) −1.45710 0.841257i −0.0548387 0.0316611i
\(707\) −22.9711 + 41.8981i −0.863915 + 1.57574i
\(708\) −6.80981 + 4.28369i −0.255928 + 0.160991i
\(709\) −18.2820 31.6653i −0.686595 1.18922i −0.972933 0.231088i \(-0.925771\pi\)
0.286338 0.958129i \(-0.407562\pi\)
\(710\) 0.00145724 + 0.00252402i 5.46893e−5 + 9.47247e-5i
\(711\) −12.3375 18.0565i −0.462691 0.677172i
\(712\) 16.4571i 0.616756i
\(713\) −18.4973 32.0382i −0.692729 1.19984i
\(714\) 11.1183 + 16.8377i 0.416092 + 0.630136i
\(715\) 0.0122434 + 0.0123209i 0.000457877 + 0.000460776i
\(716\) −4.97089 2.86994i −0.185771 0.107255i
\(717\) −17.3750 27.6212i −0.648882 1.03153i
\(718\) 6.80262 11.7825i 0.253871 0.439718i
\(719\) −19.8403 34.3644i −0.739919 1.28158i −0.952531 0.304441i \(-0.901530\pi\)
0.212612 0.977137i \(-0.431803\pi\)
\(720\) −0.00468869 0.00686214i −0.000174737 0.000255737i
\(721\) 22.6401 + 12.4127i 0.843163 + 0.462272i
\(722\) −8.96785 5.17759i −0.333749 0.192690i
\(723\) 1.12821 + 1.79352i 0.0419584 + 0.0667017i
\(724\) 0.834059i 0.0309976i
\(725\) −37.8511 21.8534i −1.40576 0.811613i
\(726\) −4.06348 + 7.69788i −0.150810 + 0.285695i
\(727\) 15.6289i 0.579644i −0.957081 0.289822i \(-0.906404\pi\)
0.957081 0.289822i \(-0.0935961\pi\)
\(728\) −27.9146 + 8.04924i −1.03458 + 0.298325i
\(729\) −26.3047 + 6.08783i −0.974249 + 0.225475i
\(730\) 0.00378416 0.000140058
\(731\) 5.55049 9.61373i 0.205292 0.355577i
\(732\) 5.44122 10.3079i 0.201113 0.380991i
\(733\) −25.0179 14.4441i −0.924055 0.533504i −0.0391289 0.999234i \(-0.512458\pi\)
−0.884927 + 0.465730i \(0.845792\pi\)
\(734\) 6.90732 11.9638i 0.254954 0.441593i
\(735\) 0.00191814 + 0.0233139i 7.07518e−5 + 0.000859945i
\(736\) 22.2918 0.821686
\(737\) 30.8230 17.7957i 1.13538 0.655511i
\(738\) −0.877157 11.5482i −0.0322886 0.425097i
\(739\) −7.56592 + 13.1046i −0.278317 + 0.482059i −0.970967 0.239215i \(-0.923110\pi\)
0.692650 + 0.721274i \(0.256443\pi\)
\(740\) −0.00313130 + 0.00542356i −0.000115109 + 0.000199374i
\(741\) 32.6650 + 7.54669i 1.19998 + 0.277235i
\(742\) −20.6899 34.0746i −0.759549 1.25092i
\(743\) 30.5018 17.6102i 1.11900 0.646056i 0.177856 0.984057i \(-0.443084\pi\)
0.941146 + 0.338001i \(0.109751\pi\)
\(744\) 35.4314 + 18.7032i 1.29898 + 0.685691i
\(745\) 0.0138178i 0.000506244i
\(746\) −5.60517 + 3.23614i −0.205220 + 0.118484i
\(747\) 13.5203 28.1480i 0.494683 1.02988i
\(748\) −8.01626 4.62819i −0.293103 0.169223i
\(749\) 0.319275 + 14.4495i 0.0116660 + 0.527973i
\(750\) 0.0187647 + 0.0298304i 0.000685189 + 0.00108925i
\(751\) 1.65351 0.0603375 0.0301687 0.999545i \(-0.490396\pi\)
0.0301687 + 0.999545i \(0.490396\pi\)
\(752\) −2.57291 + 4.45641i −0.0938244 + 0.162509i
\(753\) −0.580604 15.3100i −0.0211584 0.557926i
\(754\) −23.5762 + 23.4279i −0.858595 + 0.853195i
\(755\) 0.0314445 0.00114438
\(756\) 1.65265 + 12.0941i 0.0601062 + 0.439859i
\(757\) −7.44232 12.8905i −0.270496 0.468513i 0.698493 0.715617i \(-0.253854\pi\)
−0.968989 + 0.247104i \(0.920521\pi\)
\(758\) 11.7832 6.80303i 0.427985 0.247097i
\(759\) −0.798257 21.0493i −0.0289749 0.764040i
\(760\) 0.0315441 0.00114422
\(761\) 4.20006 + 7.27471i 0.152252 + 0.263708i 0.932055 0.362317i \(-0.118014\pi\)
−0.779803 + 0.626025i \(0.784681\pi\)
\(762\) −8.04799 + 15.2462i −0.291548 + 0.552311i
\(763\) 10.1212 + 16.6689i 0.366413 + 0.603454i
\(764\) 4.13646 2.38818i 0.149652 0.0864015i
\(765\) 0.0136339 + 0.0199540i 0.000492936 + 0.000721437i
\(766\) −8.43849 + 4.87196i −0.304895 + 0.176031i
\(767\) −4.82427 18.2343i −0.174194 0.658403i
\(768\) −24.1732 + 15.2061i −0.872277 + 0.548703i
\(769\) −40.4429 + 23.3497i −1.45841 + 0.842013i −0.998933 0.0461769i \(-0.985296\pi\)
−0.459476 + 0.888190i \(0.651963\pi\)
\(770\) 0.00697617 + 0.0114892i 0.000251404 + 0.000414043i
\(771\) 16.0448 10.0929i 0.577840 0.363488i
\(772\) −9.38617 + 16.2573i −0.337816 + 0.585114i